From a5a1e23396d74c510d8259915e16f491d0490ee8 Mon Sep 17 00:00:00 2001 From: Arash Partow Date: Mon, 1 Jan 2024 00:00:00 +0000 Subject: [PATCH] fixups for psp --- .circleci/config.yml | 102 - Makefile | 55 - exprtk.hpp | 728 +- exprtk_benchmark.cpp | 569 - exprtk_functional_ext_test.txt | 37872 ------------------------------- exprtk_functional_test.txt | 10206 --------- exprtk_simple_example_01.cpp | 59 - exprtk_simple_example_02.cpp | 74 - exprtk_simple_example_03.cpp | 61 - exprtk_simple_example_04.cpp | 90 - exprtk_simple_example_05.cpp | 82 - exprtk_simple_example_06.cpp | 61 - exprtk_simple_example_07.cpp | 72 - exprtk_simple_example_08.cpp | 93 - exprtk_simple_example_09.cpp | 180 - exprtk_simple_example_10.cpp | 97 - exprtk_simple_example_11.cpp | 74 - exprtk_simple_example_12.cpp | 69 - exprtk_simple_example_13.cpp | 101 - exprtk_simple_example_14.cpp | 57 - exprtk_simple_example_15.cpp | 95 - exprtk_simple_example_16.cpp | 83 - exprtk_simple_example_17.cpp | 79 - exprtk_simple_example_18.cpp | 80 - exprtk_simple_example_19.cpp | 131 - exprtk_simple_example_20.cpp | 109 - exprtk_simple_example_21.cpp | 117 - exprtk_simple_example_22.cpp | 144 - exprtk_simple_example_23.cpp | 136 - exprtk_simple_example_24.cpp | 143 - exprtk_test.cpp | 12699 ----------- license.txt | 22 - readme.txt | 6238 ----- 33 files changed, 443 insertions(+), 70335 deletions(-) delete mode 100644 .circleci/config.yml delete mode 100644 Makefile delete mode 100644 exprtk_benchmark.cpp delete mode 100644 exprtk_functional_ext_test.txt delete mode 100644 exprtk_functional_test.txt delete mode 100644 exprtk_simple_example_01.cpp delete mode 100644 exprtk_simple_example_02.cpp delete mode 100644 exprtk_simple_example_03.cpp delete mode 100644 exprtk_simple_example_04.cpp delete mode 100644 exprtk_simple_example_05.cpp delete mode 100644 exprtk_simple_example_06.cpp delete mode 100644 exprtk_simple_example_07.cpp delete mode 100644 exprtk_simple_example_08.cpp delete mode 100644 exprtk_simple_example_09.cpp delete mode 100644 exprtk_simple_example_10.cpp delete mode 100644 exprtk_simple_example_11.cpp delete mode 100644 exprtk_simple_example_12.cpp delete mode 100644 exprtk_simple_example_13.cpp delete mode 100644 exprtk_simple_example_14.cpp delete mode 100644 exprtk_simple_example_15.cpp delete mode 100644 exprtk_simple_example_16.cpp delete mode 100644 exprtk_simple_example_17.cpp delete mode 100644 exprtk_simple_example_18.cpp delete mode 100644 exprtk_simple_example_19.cpp delete mode 100644 exprtk_simple_example_20.cpp delete mode 100644 exprtk_simple_example_21.cpp delete mode 100644 exprtk_simple_example_22.cpp delete mode 100644 exprtk_simple_example_23.cpp delete mode 100644 exprtk_simple_example_24.cpp delete mode 100644 exprtk_test.cpp delete mode 100644 license.txt delete mode 100644 readme.txt diff --git a/.circleci/config.yml b/.circleci/config.yml deleted file mode 100644 index c5e070b..0000000 --- a/.circleci/config.yml +++ /dev/null @@ -1,102 +0,0 @@ -version: 2.1 -jobs: - - build_gcc_09: - docker: - - image: gcc:9 - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - - build_gcc_10: - docker: - - image: gcc:10 - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - - build_gcc_11: - docker: - - image: gcc:11 - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - - build_gcc_12: - docker: - - image: gcc:12 - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - - build_gcc_13: - docker: - - image: gcc:13 - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - - build_gcc_latest: - docker: - - image: gcc:latest - steps: - - checkout - - run: c++ --version - - run: make all -j 2 - - run: ./exprtk_test - -workflows: - version: 2 - build_and_test: - jobs: - - build_gcc_09: - filters: - branches: - only: - - master - - release - - - build_gcc_10: - filters: - branches: - only: - - master - - release - - - build_gcc_11: - filters: - branches: - only: - - master - - release - - - build_gcc_12: - filters: - branches: - only: - - master - - release - - - build_gcc_13: - filters: - branches: - only: - - master - - release - - - build_gcc_latest: - filters: - branches: - only: - - master - - release diff --git a/Makefile b/Makefile deleted file mode 100644 index a8d7d28..0000000 --- a/Makefile +++ /dev/null @@ -1,55 +0,0 @@ -# -# ************************************************************** -# * C++ Mathematical Expression Toolkit Library * -# * * -# * Author: Arash Partow (1999-2024) * -# * URL: https://www.partow.net/programming/exprtk/index.html * -# * * -# * Copyright notice: * -# * Free use of the Mathematical Expression Toolkit Library is * -# * permitted under the guidelines and in accordance with the * -# * most current version of the MIT License. * -# * https://www.opensource.org/licenses/MIT * -# * SPDX-License-Identifier: MIT * -# * * -# ************************************************************** -# - - -COMPILER := -c++ -#COMPILER := -clang++ -OPTIMIZATION_OPT := -O2 -DNDEBUG -BASE_OPTIONS := -pedantic-errors -Wall -Wextra -Werror -Wno-long-long -OPTIONS := $(BASE_OPTIONS) $(OPTIMIZATION_OPT) -LINKER_OPT := -L/usr/lib -lstdc++ -lm -ASAN_OPT := -g -fsanitize=address -fno-omit-frame-pointer -MSAN_OPT := -g -fsanitize=memory -fno-omit-frame-pointer -LSAN_OPT := -g -fsanitize=leak -fno-omit-frame-pointer -USAN_OPT := -g -fsanitize=undefined -fno-omit-frame-pointer -BUILD_SRC := $(sort $(wildcard exprtk_*.cpp)) -BUILD_LIST := $(BUILD_SRC:%.cpp=%) - - -all: $(BUILD_LIST) - -$(BUILD_LIST) : %: %.cpp exprtk.hpp - $(COMPILER) $(OPTIONS) -o $@ $@.cpp $(LINKER_OPT) - -strip_bin : - @for f in $(BUILD_LIST); do if [ -f $$f ]; then strip -s $$f; echo $$f; fi done; - -valgrind : - @for f in $(BUILD_LIST); do \ - if [ -f $$f ]; then \ - cmd="valgrind --leak-check=full --show-reachable=yes --track-origins=yes --log-file=$$f.log -v ./$$f"; \ - echo $$cmd; \ - $$cmd; \ - fi done; - -pgo: exprtk_benchmark.cpp exprtk.hpp - $(COMPILER) $(BASE_OPTIONS) -O3 -DNDEBUG -march=native -fprofile-generate -o exprtk_benchmark exprtk_benchmark.cpp $(LINKER_OPT) - ./exprtk_benchmark - $(COMPILER) $(BASE_OPTIONS) -O3 -DNDEBUG -march=native -fprofile-use -o exprtk_benchmark exprtk_benchmark.cpp $(LINKER_OPT) - -clean: - rm -f core.* *~ *.o *.bak *stackdump gmon.out *.gcda *.gcno *.gcnor *.gch diff --git a/exprtk.hpp b/exprtk.hpp index 9e0cf6f..cbff1f8 100644 --- a/exprtk.hpp +++ b/exprtk.hpp @@ -2384,6 +2384,19 @@ namespace exprtk } } + static inline std::string seperator_to_str(const token_type t) + { + switch (t) + { + case e_eof : return ";"; + case e_comma : return ","; + case e_colon : return ":"; + default : return "UNKNOWN"; + } + + return "N/A"; + } + inline bool is_error() const { return ( @@ -4523,6 +4536,24 @@ namespace exprtk return true; } + inline bool token_is_bracket(const token_advance_mode mode = e_advance) + { + switch (current_token().type) + { + case token_t::e_rbracket : + case token_t::e_rcrlbracket : + case token_t::e_rsqrbracket : + case token_t::e_lbracket : + case token_t::e_lcrlbracket : + case token_t::e_lsqrbracket : break; + default : return false; + } + + advance_token(mode); + + return true; + } + inline bool token_is_loop(const token_advance_mode mode = e_advance) { return token_is("for" , mode) || @@ -19006,6 +19037,46 @@ namespace exprtk return false; } + template + inline bool is_loop_node(const expression_node* node) + { + if (node) + { + switch (node->type()) + { + case expression_node::e_while : + case expression_node::e_repeat : + case expression_node::e_for : return true; + default : return false; + } + } + + return false; + } + + template + inline bool is_block_node(const expression_node* node) + { + if (node) + { + if (is_loop_node(node)) + { + return true; + } + + switch (node->type()) + { + case expression_node::e_vararg : + case expression_node::e_conditional : + case expression_node::e_switch : + case expression_node::e_mswitch : return true; + default : return false; + } + } + + return false; + } + class node_allocator { public: @@ -24960,6 +25031,24 @@ namespace exprtk else next_token(); } + else if ( + !settings_.commutative_check_enabled() && + ( + current_token().type == token_t::e_symbol || + current_token().type == token_t::e_number || + current_token().type == token_t::e_string || + token_is_bracket(prsrhlpr_t::e_hold) + ) + ) + { + set_error(make_error( + parser_error::e_syntax, + current_token(), + "ERR010 - Invalid syntax '" + current_token().value + "' possible missing operator or context", + exprtk_error_location)); + + return error_node(); + } } if ( @@ -25053,7 +25142,7 @@ namespace exprtk set_error(make_error( parser_error::e_parser, token_t(), - "ERR010 - Internal compilation check failed." + error_message, + "ERR011 - Internal compilation check failed." + error_message, exprtk_error_location)); return true; @@ -25084,6 +25173,11 @@ namespace exprtk return error_node(); } + if (token_is(token_t::e_eof,prsrhlpr_t::e_hold)) + { + return expression; + } + bool break_loop = false; state_t current_state; @@ -25223,7 +25317,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR011 - Invalid or disabled logic operation '" + details::to_str(current_state.operation) + "'", + "ERR012 - Invalid or disabled logic operation '" + details::to_str(current_state.operation) + "'", exprtk_error_location)); return error_node(); @@ -25235,7 +25329,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR012 - Invalid or disabled arithmetic operation '" + details::to_str(current_state.operation) + "'", + "ERR013 - Invalid or disabled arithmetic operation '" + details::to_str(current_state.operation) + "'", exprtk_error_location)); return error_node(); @@ -25247,7 +25341,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR013 - Invalid inequality operation '" + details::to_str(current_state.operation) + "'", + "ERR014 - Invalid inequality operation '" + details::to_str(current_state.operation) + "'", exprtk_error_location)); return error_node(); @@ -25259,7 +25353,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR014 - Invalid or disabled assignment operation '" + details::to_str(current_state.operation) + "'", + "ERR015 - Invalid or disabled assignment operation '" + details::to_str(current_state.operation) + "'", exprtk_error_location)); return error_node(); @@ -25278,7 +25372,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR015 - Return statements cannot be part of sub-expressions", + "ERR016 - Return statements cannot be part of sub-expressions", exprtk_error_location)); return error_node(); @@ -25305,7 +25399,7 @@ namespace exprtk prev_token, !synthesis_error_.empty() ? synthesis_error_ : - "ERR016 - General parsing error at token: '" + prev_token.value + "'", + "ERR017 - General parsing error at token: '" + prev_token.value + "'", exprtk_error_location)); } @@ -25335,7 +25429,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR017 - Expression depth of " + details::to_str(static_cast(expression->node_depth())) + + "ERR018 - Expression depth of " + details::to_str(static_cast(expression->node_depth())) + " exceeds maximum allowed expression depth of " + details::to_str(static_cast(settings_.max_node_depth_)), exprtk_error_location)); @@ -25343,6 +25437,27 @@ namespace exprtk return error_node(); } + else if ( + !settings_.commutative_check_enabled() && + !details::is_logic_opr(current_token().value) && + (current_state.operation == details::e_default) && + ( + current_token().type == token_t::e_symbol || + current_token().type == token_t::e_number || + current_token().type == token_t::e_string + ) + ) + { + set_error(make_error( + parser_error::e_syntax, + current_token(), + "ERR019 - Invalid syntax '" + current_token().value + "' possible missing operator or context", + exprtk_error_location)); + + free_node(node_allocator_, expression); + + return error_node(); + } return expression; } @@ -25389,7 +25504,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR018 - Failed to find variable node in symbol table", + "ERR020 - Failed to find variable node in symbol table", exprtk_error_location)); free_node(node_allocator_, node); @@ -25620,7 +25735,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR019 - Invalid number of parameters for function: '" + function_name + "'", + "ERR021 - Invalid number of parameters for function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25634,7 +25749,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR020 - Failed to generate call to function: '" + function_name + "'", + "ERR022 - Failed to generate call to function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25653,7 +25768,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR021 - Expecting ifunction '" + function_name + "' to have non-zero parameter count", + "ERR023 - Expecting ifunction '" + function_name + "' to have non-zero parameter count", exprtk_error_location)); return error_node(); @@ -25676,7 +25791,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR022 - Expecting argument list for function: '" + function_name + "'", + "ERR024 - Expecting argument list for function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25691,7 +25806,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR023 - Failed to parse argument " + details::to_str(i) + " for function: '" + function_name + "'", + "ERR025 - Failed to parse argument " + details::to_str(i) + " for function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25703,7 +25818,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR024 - Invalid number of arguments for function: '" + function_name + "'", + "ERR026 - Invalid number of arguments for function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25716,7 +25831,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR025 - Invalid number of arguments for function: '" + function_name + "'", + "ERR027 - Invalid number of arguments for function: '" + function_name + "'", exprtk_error_location)); return error_node(); @@ -25745,7 +25860,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR026 - Expecting '()' to proceed call to function: '" + function_name + "'", + "ERR028 - Expecting '()' to proceed call to function: '" + function_name + "'", exprtk_error_location)); free_node(node_allocator_, result); @@ -25770,7 +25885,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR027 - Expected a '(' at start of function call to '" + function_name + + "ERR029 - Expected a '(' at start of function call to '" + function_name + "', instead got: '" + current_token().value + "'", exprtk_error_location)); @@ -25782,7 +25897,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR028 - Expected at least one input parameter for function call '" + function_name + "'", + "ERR030 - Expected at least one input parameter for function call '" + function_name + "'", exprtk_error_location)); return 0; @@ -25808,7 +25923,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR029 - Expected a ',' between function input parameters, instead got: '" + current_token().value + "'", + "ERR031 - Expected a ',' between function input parameters, instead got: '" + current_token().value + "'", exprtk_error_location)); return 0; @@ -25820,7 +25935,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR030 - Invalid number of input parameters passed to function '" + function_name + "'", + "ERR032 - Invalid number of input parameters passed to function '" + function_name + "'", exprtk_error_location)); return 0; @@ -25843,7 +25958,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, diagnostic_token, - "ERR031 - No entry found for base operation: " + operation_name, + "ERR033 - No entry found for base operation: " + operation_name, exprtk_error_location)); return error_node(); @@ -25890,7 +26005,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, diagnostic_token, - "ERR032 - Invalid number of input parameters for call to function: '" + operation_name + "'", + "ERR034 - Invalid number of input parameters for call to function: '" + operation_name + "'", exprtk_error_location)); return error_node(); @@ -25910,7 +26025,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR033 - Expected ',' between if-statement condition and consequent", + "ERR035 - Expected ',' between if-statement condition and consequent", exprtk_error_location)); result = false; @@ -25920,7 +26035,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR034 - Failed to parse consequent for if-statement", + "ERR036 - Failed to parse consequent for if-statement", exprtk_error_location)); result = false; @@ -25930,7 +26045,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR035 - Expected ',' between if-statement consequent and alternative", + "ERR037 - Expected ',' between if-statement consequent and alternative", exprtk_error_location)); result = false; @@ -25940,7 +26055,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR036 - Failed to parse alternative for if-statement", + "ERR038 - Failed to parse alternative for if-statement", exprtk_error_location)); result = false; @@ -25950,7 +26065,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR037 - Expected ')' at the end of if-statement", + "ERR039 - Expected ')' at the end of if-statement", exprtk_error_location)); result = false; @@ -25978,7 +26093,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR038 - Failed to synthesize node: conditional_string", + "ERR040 - Failed to synthesize node: conditional_string", exprtk_error_location)); free_node(node_allocator_, result_node); @@ -25988,7 +26103,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR039 - Return types of if-statement differ: string/non-string", + "ERR041 - Return types of if-statement differ: string/non-string", exprtk_error_location)); result = false; @@ -26012,7 +26127,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR040 - Return types of if-statement differ: vector/non-vector", + "ERR042 - Return types of if-statement differ: vector/non-vector", exprtk_error_location)); result = false; @@ -26046,7 +26161,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR041 - Failed to parse body of consequent for if-statement", + "ERR043 - Failed to parse body of consequent for if-statement", exprtk_error_location)); result = false; @@ -26060,13 +26175,13 @@ namespace exprtk !token_is_right_bracket (prsrhlpr_t::e_hold) && !token_is_ineq_opr (prsrhlpr_t::e_hold) && !token_is(token_t::e_ternary,prsrhlpr_t::e_hold) && - !token_is(token_t::e_eof) + !token_is(token_t::e_eof ,prsrhlpr_t::e_hold) ) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR042 - Expected ';' at the end of the consequent for if-statement (1)", + "ERR044 - Expected ';' at the end of the consequent for if-statement (1)", exprtk_error_location)); result = false; @@ -26084,12 +26199,12 @@ namespace exprtk if (0 != (consequent = parse_expression())) { - if (!token_is(token_t::e_eof)) + if (!token_is(token_t::e_eof, prsrhlpr_t::e_hold)) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR043 - Expected ';' at the end of the consequent for if-statement (2)", + "ERR045 - Expected ';' at the end of the consequent for if-statement (2)", exprtk_error_location)); result = false; @@ -26100,7 +26215,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR044 - Failed to parse body of consequent for if-statement", + "ERR046 - Failed to parse body of consequent for if-statement", exprtk_error_location)); result = false; @@ -26109,10 +26224,18 @@ namespace exprtk if (result) { - if (details::imatch(current_token().value,"else")) + if ( + details::imatch(current_token().value,"else") || + (token_is(token_t::e_eof, prsrhlpr_t::e_hold) && peek_token_is("else")) + ) { next_token(); + if (details::imatch(current_token().value,"else")) + { + next_token(); + } + if (token_is(token_t::e_lcrlbracket,prsrhlpr_t::e_hold)) { if (0 == (alternative = parse_multi_sequence("else-statement-01"))) @@ -26120,7 +26243,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR045 - Failed to parse body of the 'else' for if-statement", + "ERR047 - Failed to parse body of the 'else' for if-statement", exprtk_error_location)); result = false; @@ -26133,7 +26256,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR046 - Failed to parse body of if-else statement", + "ERR048 - Failed to parse body of if-else statement", exprtk_error_location)); result = false; @@ -26142,14 +26265,15 @@ namespace exprtk else if (0 != (alternative = parse_expression())) { if ( - !token_is(token_t::e_ternary,prsrhlpr_t::e_hold) && + !token_is(token_t::e_ternary , prsrhlpr_t::e_hold) && + !token_is(token_t::e_rcrlbracket, prsrhlpr_t::e_hold) && !token_is(token_t::e_eof) ) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR047 - Expected ';' at the end of the 'else-if' for the if-statement", + "ERR049 - Expected ';' at the end of the 'else-if' for the if-statement", exprtk_error_location)); result = false; @@ -26160,7 +26284,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR048 - Failed to parse body of the 'else' for if-statement", + "ERR050 - Failed to parse body of the 'else' for if-statement", exprtk_error_location)); result = false; @@ -26185,7 +26309,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR049 - Return types of if-statement differ: string/non-string", + "ERR051 - Return types of if-statement differ: string/non-string", exprtk_error_location)); result = false; @@ -26209,7 +26333,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR050 - Return types of if-statement differ: vector/non-vector", + "ERR052 - Return types of if-statement differ: vector/non-vector", exprtk_error_location)); result = false; @@ -26240,7 +26364,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR051 - Expected '(' at start of if-statement, instead got: '" + current_token().value + "'", + "ERR053 - Expected '(' at start of if-statement, instead got: '" + current_token().value + "'", exprtk_error_location)); return error_node(); @@ -26250,7 +26374,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR052 - Failed to parse condition for if-statement", + "ERR054 - Failed to parse condition for if-statement", exprtk_error_location)); return error_node(); @@ -26284,7 +26408,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR053 - Invalid if-statement", + "ERR055 - Invalid if-statement", exprtk_error_location)); free_node(node_allocator_, condition); @@ -26305,7 +26429,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR054 - Encountered invalid condition branch for ternary if-statement", + "ERR056 - Encountered invalid condition branch for ternary if-statement", exprtk_error_location)); return error_node(); @@ -26315,7 +26439,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR055 - Expected '?' after condition of ternary if-statement", + "ERR057 - Expected '?' after condition of ternary if-statement", exprtk_error_location)); result = false; @@ -26325,7 +26449,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR056 - Failed to parse consequent for ternary if-statement", + "ERR058 - Failed to parse consequent for ternary if-statement", exprtk_error_location)); result = false; @@ -26335,7 +26459,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR057 - Expected ':' between ternary if-statement consequent and alternative", + "ERR059 - Expected ':' between ternary if-statement consequent and alternative", exprtk_error_location)); result = false; @@ -26345,7 +26469,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR058 - Failed to parse alternative for ternary if-statement", + "ERR060 - Failed to parse alternative for ternary if-statement", exprtk_error_location)); result = false; @@ -26368,7 +26492,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR059 - Return types of ternary differ: string/non-string", + "ERR061 - Return types of ternary differ: string/non-string", exprtk_error_location)); result = false; @@ -26392,7 +26516,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR060 - Return types of ternary differ: vector/non-vector", + "ERR062 - Return types of ternary differ: vector/non-vector", exprtk_error_location)); result = false; @@ -26419,7 +26543,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR061 - Invalid or disabled logic operation 'not'", + "ERR063 - Invalid or disabled logic operation 'not'", exprtk_error_location)); return error_node(); @@ -26450,7 +26574,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR062 - Expected '(' at start of while-loop condition statement", + "ERR064 - Expected '(' at start of while-loop condition statement", exprtk_error_location)); return error_node(); @@ -26460,7 +26584,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR063 - Failed to parse condition for while-loop", + "ERR065 - Failed to parse condition for while-loop", exprtk_error_location)); return error_node(); @@ -26470,7 +26594,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR064 - Expected ')' at end of while-loop condition statement", + "ERR066 - Expected ')' at end of while-loop condition statement", exprtk_error_location)); result = false; @@ -26487,7 +26611,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR065 - Failed to parse body of while-loop")); + "ERR067 - Failed to parse body of while-loop")); result = false; } else if (0 == (result_node = expression_generator_.while_loop(condition, @@ -26497,7 +26621,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR066 - Failed to synthesize while-loop", + "ERR068 - Failed to synthesize while-loop", exprtk_error_location)); result = false; @@ -26523,7 +26647,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR067 - Failed to synthesize 'valid' while-loop", + "ERR069 - Failed to synthesize 'valid' while-loop", exprtk_error_location)); free_node(node_allocator_, result_node); @@ -26588,7 +26712,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR068 - Expected '" + token_t::to_str(separator) + "' in body of repeat until loop", + "ERR070 - Expected '" + token_t::to_str(separator) + "' in body of repeat until loop", exprtk_error_location)); return error_node(); @@ -26610,7 +26734,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR069 - Failed to parse body of repeat until loop", + "ERR071 - Failed to parse body of repeat until loop", exprtk_error_location)); return error_node(); @@ -26622,7 +26746,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR070 - Expected '(' before condition statement of repeat until loop", + "ERR072 - Expected '(' before condition statement of repeat until loop", exprtk_error_location)); free_node(node_allocator_, branch); @@ -26633,7 +26757,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR071 - Failed to parse condition for repeat until loop", + "ERR073 - Failed to parse condition for repeat until loop", exprtk_error_location)); free_node(node_allocator_, branch); @@ -26644,7 +26768,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR072 - Expected ')' after condition of repeat until loop", + "ERR074 - Expected ')' after condition of repeat until loop", exprtk_error_location)); free_node(node_allocator_, branch ); @@ -26665,7 +26789,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR073 - Failed to synthesize repeat until loop", + "ERR075 - Failed to synthesize repeat until loop", exprtk_error_location)); free_node(node_allocator_, condition); @@ -26683,7 +26807,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR074 - Failed to synthesize 'valid' repeat until loop", + "ERR076 - Failed to synthesize 'valid' repeat until loop", exprtk_error_location)); free_node(node_allocator_, result_node); @@ -26710,7 +26834,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR075 - Expected '(' at start of for-loop", + "ERR077 - Expected '(' at start of for-loop", exprtk_error_location)); return error_node(); @@ -26730,7 +26854,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR076 - Expected a variable at the start of initialiser section of for-loop", + "ERR078 - Expected a variable at the start of initialiser section of for-loop", exprtk_error_location)); return error_node(); @@ -26740,7 +26864,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR077 - Expected variable assignment of initialiser section of for-loop", + "ERR079 - Expected variable assignment of initialiser section of for-loop", exprtk_error_location)); return error_node(); @@ -26755,7 +26879,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR078 - For-loop variable '" + loop_counter_symbol+ "' is being shadowed by a previous declaration", + "ERR080 - For-loop variable '" + loop_counter_symbol+ "' is being shadowed by a previous declaration", exprtk_error_location)); return error_node(); @@ -26787,7 +26911,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR079 - Failed to add new local variable '" + loop_counter_symbol + "' to SEM", + "ERR081 - Failed to add new local variable '" + loop_counter_symbol + "' to SEM", exprtk_error_location)); sem_.free_element(nse); @@ -26809,7 +26933,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR080 - Failed to parse initialiser of for-loop", + "ERR082 - Failed to parse initialiser of for-loop", exprtk_error_location)); result = false; @@ -26819,7 +26943,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR081 - Expected ';' after initialiser of for-loop", + "ERR083 - Expected ';' after initialiser of for-loop", exprtk_error_location)); result = false; @@ -26833,7 +26957,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR082 - Failed to parse condition of for-loop", + "ERR084 - Failed to parse condition of for-loop", exprtk_error_location)); result = false; @@ -26843,7 +26967,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR083 - Expected ';' after condition section of for-loop", + "ERR085 - Expected ';' after condition section of for-loop", exprtk_error_location)); result = false; @@ -26857,7 +26981,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR084 - Failed to parse incrementor of for-loop", + "ERR086 - Failed to parse incrementor of for-loop", exprtk_error_location)); result = false; @@ -26867,7 +26991,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR085 - Expected ')' after incrementor section of for-loop", + "ERR087 - Expected ')' after incrementor section of for-loop", exprtk_error_location)); result = false; @@ -26885,7 +27009,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR086 - Failed to parse body of for-loop", + "ERR088 - Failed to parse body of for-loop", exprtk_error_location)); result = false; @@ -26922,7 +27046,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR087 - Failed to synthesize 'valid' for-loop", + "ERR089 - Failed to synthesize 'valid' for-loop", exprtk_error_location)); free_node(node_allocator_, result_node); @@ -26940,7 +27064,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR088 - Expected keyword 'switch'", + "ERR090 - Expected keyword 'switch'", exprtk_error_location)); return error_node(); @@ -26955,7 +27079,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR089 - Expected '{' for call to switch statement", + "ERR091 - Expected '{' for call to switch statement", exprtk_error_location)); return error_node(); @@ -26980,7 +27104,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR090 - Expected ':' for case of switch statement", + "ERR092 - Expected ':' for case of switch statement", exprtk_error_location)); free_node(node_allocator_, condition); @@ -27004,7 +27128,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR091 - Expected ';' at end of case for switch statement", + "ERR093 - Expected ';' at end of case for switch statement", exprtk_error_location)); free_node(node_allocator_, condition ); @@ -27033,7 +27157,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR092 - Multiple default cases for switch statement", + "ERR094 - Multiple default cases for switch statement", exprtk_error_location)); return error_node(); @@ -27046,7 +27170,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR093 - Expected ':' for default of switch statement", + "ERR095 - Expected ':' for default of switch statement", exprtk_error_location)); return error_node(); @@ -27064,7 +27188,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR094 - Expected ';' at end of default for switch statement", + "ERR096 - Expected ';' at end of default for switch statement", exprtk_error_location)); return error_node(); @@ -27077,7 +27201,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR095 - Expected '}' at end of switch statement", + "ERR097 - Expected '}' at end of switch statement", exprtk_error_location)); return error_node(); @@ -27112,7 +27236,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR096 - Expected token '[*]'", + "ERR098 - Expected token '[*]'", exprtk_error_location)); return error_node(); @@ -27127,7 +27251,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR097 - Expected '{' for call to [*] statement", + "ERR099 - Expected '{' for call to [*] statement", exprtk_error_location)); return error_node(); @@ -27140,7 +27264,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR098 - Expected a 'case' statement for multi-switch", + "ERR100 - Expected a 'case' statement for multi-switch", exprtk_error_location)); return error_node(); @@ -27158,7 +27282,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR099 - Expected ':' for case of [*] statement", + "ERR101 - Expected ':' for case of [*] statement", exprtk_error_location)); return error_node(); @@ -27177,7 +27301,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR100 - Expected ';' at end of case for [*] statement", + "ERR102 - Expected ';' at end of case for [*] statement", exprtk_error_location)); return error_node(); @@ -27206,7 +27330,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR101 - Expected '}' at end of [*] statement", + "ERR103 - Expected '}' at end of [*] statement", exprtk_error_location)); return error_node(); @@ -27229,11 +27353,11 @@ namespace exprtk if (details::imatch(symbol,"~")) { next_token(); - return parse_multi_sequence(); + return check_block_statement_closure(parse_multi_sequence()); } else if (details::imatch(symbol,"[*]")) { - return parse_multi_switch_statement(); + return check_block_statement_closure(parse_multi_switch_statement()); } else if (details::imatch(symbol, "avg" )) opt_type = details::e_avg ; else if (details::imatch(symbol, "mand")) opt_type = details::e_mand; @@ -27247,7 +27371,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR102 - Unsupported built-in vararg function: " + symbol, + "ERR104 - Unsupported built-in vararg function: " + symbol, exprtk_error_location)); return error_node(); @@ -27264,7 +27388,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR103 - Expected '(' for call to vararg function: " + symbol, + "ERR105 - Expected '(' for call to vararg function: " + symbol, exprtk_error_location)); return error_node(); @@ -27275,7 +27399,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR104 - vararg function: " + symbol + + "ERR106 - vararg function: " + symbol + " requires at least one input parameter", exprtk_error_location)); @@ -27298,7 +27422,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR105 - Expected ',' for call to vararg function: " + symbol, + "ERR107 - Expected ',' for call to vararg function: " + symbol, exprtk_error_location)); return error_node(); @@ -27319,7 +27443,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR106 - Expected '[' as start of string range definition", + "ERR108 - Expected '[' as start of string range definition", exprtk_error_location)); free_node(node_allocator_, expression); @@ -27347,7 +27471,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR107 - Failed to generate string range node", + "ERR109 - Failed to generate string range node", exprtk_error_location)); free_node(node_allocator_, expression); @@ -27364,7 +27488,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR108 - Failed to synthesize node: string_range_node", + "ERR110 - Failed to synthesize node: string_range_node", exprtk_error_location)); free_node(node_allocator_, result); @@ -27467,6 +27591,10 @@ namespace exprtk Sequence tmp_expression_list; + exprtk_debug(("simplify() - expression_list.size: %d side_effect_list.size(): %d\n", + static_cast(expression_list .size()), + static_cast(side_effect_list.size()))); + bool return_node_present = false; for (std::size_t i = 0; i < (expression_list.size() - 1); ++i) @@ -27555,7 +27683,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR109 - Expected '" + token_t::to_str(open_bracket) + "' for call to multi-sequence" + + "ERR111 - Expected '" + token_t::to_str(open_bracket) + "' for call to multi-sequence" + ((!source.empty()) ? std::string(" section of " + source): ""), exprtk_error_location)); @@ -27602,7 +27730,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR110 - Expected '" + details::to_str(separator) + "' for call to multi-sequence section of " + source, + "ERR112 - Expected '" + lexer::token::seperator_to_str(separator) + "' for call to multi-sequence section of " + source, exprtk_error_location)); return error_node(); @@ -27636,7 +27764,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR111 - Expected '[' for start of range", + "ERR113 - Expected '[' for start of range", exprtk_error_location)); return false; @@ -27657,7 +27785,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR112 - Failed parse begin section of range", + "ERR114 - Failed parse begin section of range", exprtk_error_location)); return false; @@ -27680,7 +27808,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR113 - Range lower bound less than zero! Constraint: r0 >= 0", + "ERR115 - Range lower bound less than zero! Constraint: r0 >= 0", exprtk_error_location)); return false; @@ -27697,7 +27825,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR114 - Expected ':' for break in range", + "ERR116 - Expected ':' for break in range", exprtk_error_location)); rp.free(); @@ -27720,7 +27848,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR115 - Failed parse end section of range", + "ERR117 - Failed parse end section of range", exprtk_error_location)); rp.free(); @@ -27745,7 +27873,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR116 - Range upper bound less than zero! Constraint: r1 >= 0", + "ERR118 - Range upper bound less than zero! Constraint: r1 >= 0", exprtk_error_location)); rp.free(); @@ -27764,7 +27892,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR117 - Expected ']' for start of range", + "ERR119 - Expected ']' for start of range", exprtk_error_location)); rp.free(); @@ -27792,7 +27920,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR118 - Invalid range, Constraint: r0 <= r1", + "ERR120 - Invalid range, Constraint: r0 <= r1", exprtk_error_location)); return false; @@ -27836,7 +27964,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR119 - Unknown string symbol", + "ERR121 - Unknown string symbol", exprtk_error_location)); return error_node(); @@ -27960,7 +28088,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR120 - Overflow in range for string: '" + const_str + "'[" + + "ERR122 - Overflow in range for string: '" + const_str + "'[" + (rp.n0_c.first ? details::to_str(static_cast(rp.n0_c.second)) : "?") + ":" + (rp.n1_c.first ? details::to_str(static_cast(rp.n1_c.second)) : "?") + "]", exprtk_error_location)); @@ -27996,7 +28124,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR121 - Failed to parse index for vector: '" + vector_name + "'", + "ERR123 - Failed to parse index for vector: '" + vector_name + "'", exprtk_error_location)); return error_node(); @@ -28006,7 +28134,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR122 - Expected ']' for index of vector: '" + vector_name + "'", + "ERR124 - Expected ']' for index of vector: '" + vector_name + "'", exprtk_error_location)); free_node(node_allocator_, index_expr); @@ -28039,7 +28167,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR123 - Symbol '" + vector_name + " not a vector", + "ERR125 - Symbol '" + vector_name + " not a vector", exprtk_error_location)); return error_node(); @@ -28105,7 +28233,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR124 - Index of " + details::to_str(index) + " out of range for " + "ERR126 - Index of " + details::to_str(index) + " out of range for " "vector '" + vector_name + "' of size " + details::to_str(vec_size), exprtk_error_location)); @@ -28138,7 +28266,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR125 - Zero parameter call to vararg function: " + "ERR127 - Zero parameter call to vararg function: " + vararg_function_name + " not allowed", exprtk_error_location)); @@ -28163,7 +28291,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR126 - Expected ',' for call to vararg function: " + "ERR128 - Expected ',' for call to vararg function: " + vararg_function_name, exprtk_error_location)); @@ -28177,7 +28305,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR127 - Zero parameter call to vararg function: " + "ERR129 - Zero parameter call to vararg function: " + vararg_function_name + " not allowed", exprtk_error_location)); @@ -28189,7 +28317,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR128 - Invalid number of parameters to call to vararg function: " + "ERR130 - Invalid number of parameters to call to vararg function: " + vararg_function_name + ", require at least " + details::to_str(static_cast(vararg_function->min_num_args())) + " parameters", exprtk_error_location)); @@ -28201,7 +28329,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR129 - Invalid number of parameters to call to vararg function: " + "ERR131 - Invalid number of parameters to call to vararg function: " + vararg_function_name + ", require no more than " + details::to_str(static_cast(vararg_function->max_num_args())) + " parameters", exprtk_error_location)); @@ -28278,7 +28406,7 @@ namespace exprtk parser_.set_error(make_error( parser_error::e_syntax, parser_.current_token(), - "ERR130 - Failed parameter type check for function '" + function_name_ + "', " + "ERR132 - Failed parameter type check for function '" + function_name_ + "', " "Expected '" + function_definition_list_[0].param_seq + "' call set: '" + param_seq + "'", exprtk_error_location)); @@ -28299,7 +28427,7 @@ namespace exprtk parser_.set_error(make_error( parser_error::e_syntax, parser_.current_token(), - "ERR131 - Failed parameter type check for function '" + function_name_ + "', " + "ERR133 - Failed parameter type check for function '" + function_name_ + "', " "Best match: '" + function_definition_list_[max_diff_index].param_seq + "' call set: '" + param_seq + "'", exprtk_error_location)); @@ -28440,7 +28568,7 @@ namespace exprtk parser_.set_error(make_error( parser_error::e_syntax, parser_.current_token(), - "ERR132 - Invalid parameter sequence of '" + param_seq_list[i] + + "ERR134 - Invalid parameter sequence of '" + param_seq_list[i] + "' for function: " + function_name_, exprtk_error_location)); return; @@ -28455,7 +28583,7 @@ namespace exprtk parser_.set_error(make_error( parser_error::e_syntax, parser_.current_token(), - "ERR133 - Function '" + function_name_ + "' has a parameter sequence conflict between " + + "ERR135 - Function '" + function_name_ + "' has a parameter sequence conflict between " + "pseq_idx[" + details::to_str(seq_itr->second) + "] and" + "pseq_idx[" + details::to_str(i) + "] " + "param seq: " + param_seq_list[i], @@ -28498,7 +28626,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR134 - Type checker instantiation failure for generic function: " + function_name, + "ERR136 - Type checker instantiation failure for generic function: " + function_name, exprtk_error_location)); return error_node(); @@ -28516,7 +28644,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR135 - Zero parameter call to generic function: " + "ERR137 - Zero parameter call to generic function: " + function_name + " not allowed", exprtk_error_location)); @@ -28548,7 +28676,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR136 - Expected ',' for call to generic function: " + function_name, + "ERR138 - Expected ',' for call to generic function: " + function_name, exprtk_error_location)); return error_node(); @@ -28565,7 +28693,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR137 - Zero parameter call to generic function: " + "ERR139 - Zero parameter call to generic function: " + function_name + " not allowed", exprtk_error_location)); @@ -28582,7 +28710,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR138 - Invalid input parameter sequence for call to generic function: " + function_name, + "ERR140 - Invalid input parameter sequence for call to generic function: " + function_name, exprtk_error_location)); return error_node(); @@ -28619,7 +28747,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR139 - Zero parameter call to generic function: " + "ERR141 - Zero parameter call to generic function: " + function_name + " not allowed", exprtk_error_location)); @@ -28651,7 +28779,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR140 - Expected ',' for call to string function: " + function_name, + "ERR142 - Expected ',' for call to string function: " + function_name, exprtk_error_location)); return false; @@ -28698,7 +28826,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR141 - Invalid input parameter sequence for call to string function: " + function_name, + "ERR143 - Invalid input parameter sequence for call to string function: " + function_name, exprtk_error_location)); return error_node(); @@ -28749,7 +28877,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR142 - Invalid input parameter sequence for call to overloaded function: " + function_name, + "ERR144 - Invalid input parameter sequence for call to overloaded function: " + function_name, exprtk_error_location)); return error_node(); @@ -28780,7 +28908,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR143 - Invalid return type for call to overloaded function: " + function_name, + "ERR145 - Invalid return type for call to overloaded function: " + function_name, exprtk_error_location)); } @@ -28808,7 +28936,7 @@ namespace exprtk p.set_error(make_error( parser_error::e_syntax, p.current_token(), - "ERR144 - Expected '(' for special function '" + sf_name + "'", + "ERR146 - Expected '(' for special function '" + sf_name + "'", exprtk_error_location)); return error_node(); @@ -28829,7 +28957,7 @@ namespace exprtk p.set_error(make_error( parser_error::e_syntax, p.current_token(), - "ERR145 - Expected ',' before next parameter of special function '" + sf_name + "'", + "ERR147 - Expected ',' before next parameter of special function '" + sf_name + "'", exprtk_error_location)); return p.error_node(); @@ -28842,7 +28970,7 @@ namespace exprtk p.set_error(make_error( parser_error::e_syntax, p.current_token(), - "ERR146 - Invalid number of parameters for special function '" + sf_name + "'", + "ERR148 - Invalid number of parameters for special function '" + sf_name + "'", exprtk_error_location)); return p.error_node(); @@ -28869,7 +28997,7 @@ namespace exprtk set_error(make_error( parser_error::e_token, current_token(), - "ERR147 - Invalid special function[1]: " + sf_name, + "ERR149 - Invalid special function[1]: " + sf_name, exprtk_error_location)); return error_node(); @@ -28883,7 +29011,7 @@ namespace exprtk set_error(make_error( parser_error::e_token, current_token(), - "ERR148 - Invalid special function[2]: " + sf_name, + "ERR150 - Invalid special function[2]: " + sf_name, exprtk_error_location)); return error_node(); @@ -28915,7 +29043,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR149 - Invoking 'break' within a break call is not allowed", + "ERR151 - Invoking 'break' within a break call is not allowed", exprtk_error_location)); return error_node(); @@ -28925,7 +29053,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR150 - Invalid use of 'break', allowed only in the scope of a loop", + "ERR152 - Invalid use of 'break', allowed only in the scope of a loop", exprtk_error_location)); return error_node(); @@ -28948,7 +29076,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR151 - Failed to parse return expression for 'break' statement", + "ERR153 - Failed to parse return expression for 'break' statement", exprtk_error_location)); return error_node(); @@ -28958,7 +29086,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR152 - Expected ']' at the completion of break's return expression", + "ERR154 - Expected ']' at the completion of break's return expression", exprtk_error_location)); free_node(node_allocator_, return_expr); @@ -28976,7 +29104,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR153 - Invalid use of 'break', allowed only in the scope of a loop", + "ERR155 - Invalid use of 'break', allowed only in the scope of a loop", exprtk_error_location)); } @@ -28990,7 +29118,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR154 - Invalid use of 'continue', allowed only in the scope of a loop", + "ERR156 - Invalid use of 'continue', allowed only in the scope of a loop", exprtk_error_location)); return error_node(); @@ -29016,7 +29144,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR155 - Expected '[' as part of vector size definition", + "ERR157 - Expected '[' as part of vector size definition", exprtk_error_location)); return error_node(); @@ -29026,7 +29154,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR156 - Failed to determine size of vector '" + vec_name + "'", + "ERR158 - Failed to determine size of vector '" + vec_name + "'", exprtk_error_location)); return error_node(); @@ -29045,7 +29173,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR157 - " + error_msg + " '" + vec_name + "'", + "ERR159 - " + error_msg + " '" + vec_name + "'", exprtk_error_location)); return error_node(); @@ -29067,7 +29195,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR158 - Invalid vector size. Must be an integer in the " + "ERR160 - Invalid vector size. Must be an integer in the " "range [0," + details::to_str(static_cast(max_vector_size)) + "], size: " + details::to_str(details::numeric::to_int32(vector_size)), exprtk_error_location)); @@ -29088,7 +29216,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR159 - Illegal redefinition of local vector: '" + vec_name + "'", + "ERR161 - Illegal redefinition of local vector: '" + vec_name + "'", exprtk_error_location)); return error_node(); @@ -29124,7 +29252,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR160 - Failed to add new local vector '" + vec_name + "' to SEM", + "ERR162 - Failed to add new local vector '" + vec_name + "' to SEM", exprtk_error_location)); sem_.free_element(nse); @@ -29157,19 +29285,19 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR161 - Expected ']' as part of vector size definition", + "ERR163 - Expected ']' as part of vector size definition", exprtk_error_location)); return error_node(); } - else if (!token_is(token_t::e_eof)) + else if (!token_is(token_t::e_eof, prsrhlpr_t::e_hold)) { if (!token_is(token_t::e_assign)) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR162 - Expected ':=' as part of vector definition", + "ERR164 - Expected ':=' as part of vector definition", exprtk_error_location)); return error_node(); @@ -29183,7 +29311,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR163 - Failed to parse first component of vector initialiser for vector: " + vec_name, + "ERR165 - Failed to parse first component of vector initialiser for vector: " + vec_name, exprtk_error_location)); return error_node(); @@ -29200,7 +29328,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR164 - Failed to parse second component of vector initialiser for vector: " + vec_name, + "ERR166 - Failed to parse second component of vector initialiser for vector: " + vec_name, exprtk_error_location)); return error_node(); @@ -29214,7 +29342,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR165 - Expected ']' to close single value vector initialiser", + "ERR167 - Expected ']' to close single value vector initialiser", exprtk_error_location)); return error_node(); @@ -29265,7 +29393,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR166 - Expected '{' as part of vector initialiser list", + "ERR168 - Expected '{' as part of vector initialiser list", exprtk_error_location)); return error_node(); @@ -29285,7 +29413,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR167 - Expected '{' as part of vector initialiser list", + "ERR169 - Expected '{' as part of vector initialiser list", exprtk_error_location)); return error_node(); @@ -29303,7 +29431,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR168 - Expected ',' between vector initialisers", + "ERR170 - Expected ',' between vector initialisers", exprtk_error_location)); return error_node(); @@ -29320,12 +29448,12 @@ namespace exprtk !token_is(token_t::e_rsqrbracket, prsrhlpr_t::e_hold) ) { - if (!token_is(token_t::e_eof)) + if (!token_is(token_t::e_eof,prsrhlpr_t::e_hold)) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR169 - Expected ';' at end of vector definition", + "ERR171 - Expected ';' at end of vector definition", exprtk_error_location)); return error_node(); @@ -29341,7 +29469,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR170 - Initialiser list larger than the number of elements in the vector: '" + vec_name + "'", + "ERR172 - Initialiser list larger than the number of elements in the vector: '" + vec_name + "'", exprtk_error_location)); return error_node(); @@ -29464,7 +29592,7 @@ namespace exprtk set_error(make_error( parser_error::e_synthesis, current_token(), - "ERR171 - Failed to generate initialisation node for vector: " + vec_name, + "ERR173 - Failed to generate initialisation node for vector: " + vec_name, exprtk_error_location)); return error_node(); @@ -29484,7 +29612,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR172 - Illegal redefinition of local variable: '" + str_name + "'", + "ERR174 - Illegal redefinition of local variable: '" + str_name + "'", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29516,7 +29644,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR173 - Failed to add new local string variable '" + str_name + "' to SEM", + "ERR175 - Failed to add new local string variable '" + str_name + "' to SEM", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29562,7 +29690,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR174 - Illegal variable definition", + "ERR176 - Illegal variable definition", exprtk_error_location)); return error_node(); @@ -29583,7 +29711,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR175 - Expected a symbol for variable definition", + "ERR177 - Expected a symbol for variable definition", exprtk_error_location)); return error_node(); @@ -29593,7 +29721,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR176 - Illegal redefinition of reserved keyword: '" + var_name + "'", + "ERR178 - Illegal redefinition of reserved keyword: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29603,7 +29731,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR177 - Illegal redefinition of variable '" + var_name + "'", + "ERR179 - Illegal redefinition of variable '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29613,7 +29741,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR178 - Illegal redefinition of local variable: '" + var_name + "'", + "ERR180 - Illegal redefinition of local variable: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29633,7 +29761,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR179 - Failed to parse initialisation expression", + "ERR181 - Failed to parse initialisation expression for variable '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29651,7 +29779,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR180 - Expected ';' after variable definition", + "ERR182 - Expected ';' after variable '" + var_name + "' definition", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29679,7 +29807,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR181 - Illegal redefinition of local variable: '" + var_name + "'", + "ERR183 - Illegal redefinition of local variable: '" + var_name + "'", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29711,7 +29839,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR182 - Failed to add new local variable '" + var_name + "' to SEM", + "ERR184 - Failed to add new local variable '" + var_name + "' to SEM", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29745,7 +29873,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR183 - Illegal const variable definition", + "ERR185 - Illegal const variable definition", exprtk_error_location)); return error_node(); @@ -29755,7 +29883,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR184 - Expected 'const' keyword for const-variable definition", + "ERR186 - Expected 'const' keyword for const-variable definition", exprtk_error_location)); return error_node(); @@ -29765,7 +29893,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR185 - Expected 'var' keyword for const-variable definition", + "ERR187 - Expected 'var' keyword for const-variable definition", exprtk_error_location)); return error_node(); @@ -29780,7 +29908,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR186 - Expected a symbol for const-variable definition", + "ERR188 - Expected a symbol for const-variable definition", exprtk_error_location)); return error_node(); @@ -29790,7 +29918,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR187 - Illegal redefinition of reserved keyword: '" + var_name + "'", + "ERR189 - Illegal redefinition of reserved keyword: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29800,7 +29928,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR188 - Illegal redefinition of variable '" + var_name + "'", + "ERR190 - Illegal redefinition of variable '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29810,7 +29938,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR189 - Illegal redefinition of local variable: '" + var_name + "'", + "ERR191 - Illegal redefinition of local variable: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29822,7 +29950,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR190 - Failed to parse initialisation expression for const-variable: '" + var_name + "'", + "ERR192 - Failed to parse initialisation expression for const-variable: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29832,7 +29960,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR191 - initialisation expression for const-variable: '" + var_name + "' must be a constant/literal", + "ERR193 - initialisation expression for const-variable: '" + var_name + "' must be a constant/literal", exprtk_error_location)); free_node(node_allocator_, initialisation_expression); @@ -29856,7 +29984,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR192 - Illegal redefinition of local variable: '" + var_name + "'", + "ERR194 - Illegal redefinition of local variable: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29886,7 +30014,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR193 - Failed to add new local const-variable '" + var_name + "' to SEM", + "ERR195 - Failed to add new local const-variable '" + var_name + "' to SEM", exprtk_error_location)); sem_.free_element(nse); @@ -29916,7 +30044,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR194 - Expected a '{}' for uninitialised var definition", + "ERR196 - Expected a '{}' for uninitialised var definition", exprtk_error_location)); return error_node(); @@ -29926,7 +30054,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR195 - Expected ';' after uninitialised variable definition", + "ERR197 - Expected ';' after uninitialised variable definition", exprtk_error_location)); return error_node(); @@ -29943,7 +30071,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR196 - Illegal redefinition of local variable: '" + var_name + "'", + "ERR198 - Illegal redefinition of local variable: '" + var_name + "'", exprtk_error_location)); return error_node(); @@ -29973,7 +30101,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR197 - Failed to add new local variable '" + var_name + "' to SEM", + "ERR199 - Failed to add new local variable '" + var_name + "' to SEM", exprtk_error_location)); sem_.free_element(nse); @@ -30006,7 +30134,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR198 - Expected '(' at start of swap statement", + "ERR200 - Expected '(' at start of swap statement", exprtk_error_location)); return error_node(); @@ -30025,7 +30153,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR199 - Expected a symbol for variable or vector element definition", + "ERR201 - Expected a symbol for variable or vector element definition", exprtk_error_location)); return error_node(); @@ -30037,7 +30165,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR200 - First parameter to swap is an invalid vector element: '" + var0_name + "'", + "ERR202 - First parameter to swap is an invalid vector element: '" + var0_name + "'", exprtk_error_location)); return error_node(); @@ -30070,7 +30198,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR201 - First parameter to swap is an invalid variable: '" + var0_name + "'", + "ERR203 - First parameter to swap is an invalid variable: '" + var0_name + "'", exprtk_error_location)); return error_node(); @@ -30084,7 +30212,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR202 - Expected ',' between parameters to swap", + "ERR204 - Expected ',' between parameters to swap", exprtk_error_location)); if (variable0_generated) @@ -30102,7 +30230,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR203 - Expected a symbol for variable or vector element definition", + "ERR205 - Expected a symbol for variable or vector element definition", exprtk_error_location)); if (variable0_generated) @@ -30119,7 +30247,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR204 - Second parameter to swap is an invalid vector element: '" + var1_name + "'", + "ERR206 - Second parameter to swap is an invalid vector element: '" + var1_name + "'", exprtk_error_location)); if (variable0_generated) @@ -30157,7 +30285,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR205 - Second parameter to swap is an invalid variable: '" + var1_name + "'", + "ERR207 - Second parameter to swap is an invalid variable: '" + var1_name + "'", exprtk_error_location)); if (variable0_generated) @@ -30176,7 +30304,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR206 - Expected ')' at end of swap statement", + "ERR208 - Expected ')' at end of swap statement", exprtk_error_location)); if (variable0_generated) @@ -30233,7 +30361,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR207 - Return call within a return call is not allowed", + "ERR209 - Return call within a return call is not allowed", exprtk_error_location)); return error_node(); @@ -30257,7 +30385,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR208 - Expected '[' at start of return statement", + "ERR210 - Expected '[' at start of return statement", exprtk_error_location)); return error_node(); @@ -30280,7 +30408,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR209 - Expected ',' between values during call to return", + "ERR211 - Expected ',' between values during call to return", exprtk_error_location)); return error_node(); @@ -30292,7 +30420,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR210 - Zero parameter return statement not allowed", + "ERR212 - Zero parameter return statement not allowed", exprtk_error_location)); return error_node(); @@ -30307,7 +30435,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, prev_token, - "ERR211 - Invalid ']' found during return call", + "ERR213 - Invalid ']' found during return call", exprtk_error_location)); return error_node(); @@ -30356,7 +30484,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR212 - Assert statement within an assert statement is not allowed", + "ERR214 - Assert statement within an assert statement is not allowed", exprtk_error_location)); return error_node(); @@ -30378,7 +30506,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR213 - Expected '(' at start of assert statement", + "ERR215 - Expected '(' at start of assert statement", exprtk_error_location)); return error_node(); @@ -30392,7 +30520,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR214 - Failed to parse condition for assert statement", + "ERR216 - Failed to parse condition for assert statement", exprtk_error_location)); return error_node(); @@ -30407,7 +30535,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR215 - Expected ',' between condition and message for assert statement", + "ERR217 - Expected ',' between condition and message for assert statement", exprtk_error_location)); return error_node(); @@ -30421,7 +30549,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR216 - " + + "ERR218 - " + (assert_message ? std::string("Expected string for assert message") : std::string("Failed to parse message for assert statement")), @@ -30436,7 +30564,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR217 - Expected ',' between message and ID for assert statement", + "ERR219 - Expected ',' between message and ID for assert statement", exprtk_error_location)); return error_node(); @@ -30450,7 +30578,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR218 - " + + "ERR220 - " + (assert_id ? std::string("Expected literal string for assert ID") : std::string("Failed to parse string for assert ID")), @@ -30463,7 +30591,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR219 - Expected ')' at start of assert statement", + "ERR221 - Expected ')' at start of assert statement", exprtk_error_location)); return error_node(); @@ -30498,7 +30626,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR220 - Duplicate assert ID: " + context.id, + "ERR222 - Duplicate assert ID: " + context.id, exprtk_error_location)); return error_node(); @@ -30525,7 +30653,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR221 - Failed to synthesize assert", + "ERR223 - Failed to synthesize assert", exprtk_error_location)); return error_node(); @@ -30548,7 +30676,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR222 - Invalid sequence of variable '" + symbol + "' and bracket", + "ERR224 - Invalid sequence of variable '" + symbol + "' and bracket", exprtk_error_location)); return false; @@ -30567,6 +30695,9 @@ namespace exprtk if (details::is_generally_string_node(branch)) return true; + if (details::is_ivector_node(branch)) + return true; + const lexer::parser_helper::token_advance_mode hold = prsrhlpr_t::e_hold; switch (token) @@ -30596,7 +30727,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR223 - Invalid sequence of brackets", + "ERR225 - Invalid sequence of brackets", exprtk_error_location)); return false; @@ -30736,7 +30867,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR224 - Failed to generate node for function: '" + symbol + "'", + "ERR226 - Failed to generate node for function: '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30762,7 +30893,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR225 - Failed to generate node for vararg function: '" + symbol + "'", + "ERR227 - Failed to generate node for vararg function: '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30788,7 +30919,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR226 - Failed to generate node for generic function: '" + symbol + "'", + "ERR228 - Failed to generate node for generic function: '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30815,7 +30946,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR227 - Failed to generate node for string function: '" + symbol + "'", + "ERR229 - Failed to generate node for string function: '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30841,7 +30972,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR228 - Failed to generate node for overload function: '" + symbol + "'", + "ERR230 - Failed to generate node for overload function: '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30867,7 +30998,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR229 - Invalid use of reserved symbol '" + symbol + "'", + "ERR231 - Invalid use of reserved symbol '" + symbol + "'", exprtk_error_location)); return error_node(); @@ -30932,7 +31063,7 @@ namespace exprtk set_error(make_error( parser_error::e_symtab, current_token(), - "ERR230 - Failed to create variable: '" + symbol + "'" + + "ERR232 - Failed to create variable: '" + symbol + "'" + (error_message.empty() ? "" : " - " + error_message), exprtk_error_location)); @@ -30952,7 +31083,7 @@ namespace exprtk set_error(make_error( parser_error::e_symtab, current_token(), - "ERR231 - Failed to resolve symbol: '" + symbol + "'" + + "ERR233 - Failed to resolve symbol: '" + symbol + "'" + (error_message.empty() ? "" : " - " + error_message), exprtk_error_location)); } @@ -30964,12 +31095,36 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR232 - Undefined symbol: '" + symbol + "'", + "ERR234 - Undefined symbol: '" + symbol + "'", exprtk_error_location)); return error_node(); } + inline expression_node_ptr check_block_statement_closure(expression_node_ptr expression) + { + if ( + expression && + ( + (current_token().type == token_t::e_symbol) || + (current_token().type == token_t::e_number) + ) + ) + { + free_node(node_allocator_, expression); + + set_error(make_error( + parser_error::e_syntax, + current_token(), + "ERR235 - Invalid syntax '" + current_token().value + "' possible missing operator or context", + exprtk_error_location)); + + return error_node(); + } + + return expression; + } + inline expression_node_ptr parse_symbol() { static const std::string symbol_if = "if" ; @@ -31013,28 +31168,28 @@ namespace exprtk settings_.control_struct_enabled(symbol) ) { - return parse_while_loop(); + return check_block_statement_closure(parse_while_loop()); } else if ( details::imatch(symbol, symbol_repeat) && settings_.control_struct_enabled(symbol) ) { - return parse_repeat_until_loop(); + return check_block_statement_closure(parse_repeat_until_loop()); } else if ( details::imatch(symbol, symbol_for) && settings_.control_struct_enabled(symbol) ) { - return parse_for_loop(); + return check_block_statement_closure(parse_for_loop()); } else if ( details::imatch(symbol, symbol_switch) && settings_.control_struct_enabled(symbol) ) { - return parse_switch_statement(); + return check_block_statement_closure(parse_switch_statement()); } else if (details::is_valid_sf_symbol(symbol)) { @@ -31072,7 +31227,7 @@ namespace exprtk settings_.control_struct_enabled(symbol) ) { - return parse_return_statement(); + return check_block_statement_closure(parse_return_statement()); } #endif else if (details::imatch(symbol, symbol_assert)) @@ -31088,7 +31243,7 @@ namespace exprtk set_error(make_error( parser_error::e_symtab, current_token(), - "ERR233 - Unknown variable or function encountered. Symbol table(s) " + "ERR236 - Unknown variable or function encountered. Symbol table(s) " "is either invalid or does not contain symbol: '" + symbol + "'", exprtk_error_location)); @@ -31120,7 +31275,7 @@ namespace exprtk set_error(make_error( parser_error::e_numeric, current_token(), - "ERR234 - Failed generate node for scalar: '" + current_token().value + "'", + "ERR237 - Failed generate node for scalar: '" + current_token().value + "'", exprtk_error_location)); return error_node(); @@ -31134,7 +31289,7 @@ namespace exprtk set_error(make_error( parser_error::e_numeric, current_token(), - "ERR235 - Failed to convert '" + current_token().value + "' to a number", + "ERR238 - Failed to convert '" + current_token().value + "' to a number", exprtk_error_location)); return error_node(); @@ -31155,15 +31310,18 @@ namespace exprtk next_token(); if (0 == (branch = parse_expression())) + { return error_node(); - else if (token_is(token_t::e_eof)) - {} - else if (!token_is(token_t::e_rbracket)) + } + + token_is(token_t::e_eof); + + if (!token_is(token_t::e_rbracket)) { set_error(make_error( parser_error::e_syntax, current_token(), - "ERR236 - Expected ')' instead of: '" + current_token().value + "'", + "ERR239 - Expected ')' instead of: '" + current_token().value + "'", exprtk_error_location)); details::free_node(node_allocator_, branch); @@ -31190,7 +31348,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR237 - Expected ']' instead of: '" + current_token().value + "'", + "ERR240 - Expected ']' instead of: '" + current_token().value + "'", exprtk_error_location)); details::free_node(node_allocator_, branch); @@ -31215,7 +31373,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR238 - Expected '}' instead of: '" + current_token().value + "'", + "ERR241 - Expected '}' instead of: '" + current_token().value + "'", exprtk_error_location)); details::free_node(node_allocator_, branch); @@ -31264,7 +31422,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR239 - Premature end of expression[1]", + "ERR242 - Premature end of expression[1]", exprtk_error_location)); return error_node(); @@ -31274,7 +31432,7 @@ namespace exprtk set_error(make_error( parser_error::e_syntax, current_token(), - "ERR240 - Premature end of expression[2]", + "ERR243 - Premature end of expression[2]", exprtk_error_location)); return error_node(); @@ -32013,7 +32171,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR241 - Invalid branches received for operator '" + details::to_str(operation) + "'", + "ERR244 - Invalid branches received for operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32023,7 +32181,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR242 - Invalid branch pair for string operator '" + details::to_str(operation) + "'", + "ERR245 - Invalid branch pair for string operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32033,7 +32191,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR243 - Invalid branch pair for assignment operator '" + details::to_str(operation) + "'", + "ERR246 - Invalid branch pair for assignment operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32043,7 +32201,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR244 - Invalid branch pair for break/continue operator '" + details::to_str(operation) + "'", + "ERR247 - Invalid branch pair for break/continue operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32167,7 +32325,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR245 - Invalid branches operator '" + details::to_str(operation) + "'", + "ERR248 - Invalid branches operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32177,7 +32335,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR246 - Invalid branches for string operator '" + details::to_str(operation) + "'", + "ERR249 - Invalid branches for string operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -32233,7 +32391,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, parser_->current_state().token, - "ERR247 - Invalid " + invalid_branches + " for conditional statement", + "ERR250 - Invalid " + invalid_branches + " for conditional statement", exprtk_error_location)); return error_node(); @@ -32284,7 +32442,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, token_t(), - "ERR248 - Failed to synthesize node: " + node_name, + "ERR251 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -32309,7 +32467,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, parser_->current_state().token, - "ERR249 - Invalid " + invalid_branches + " for string conditional statement", + "ERR252 - Invalid " + invalid_branches + " for string conditional statement", exprtk_error_location)); return error_node(); @@ -32351,7 +32509,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, token_t(), - "ERR250 - Failed to synthesize node: conditional_string_node_t", + "ERR253 - Failed to synthesize node: conditional_string_node_t", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -32385,7 +32543,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, parser_->current_state().token, - "ERR251 - Invalid " + invalid_branches + " for vector conditional statement", + "ERR254 - Invalid " + invalid_branches + " for vector conditional statement", exprtk_error_location)); return error_node(); @@ -32459,7 +32617,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, parser_->current_state().token, - "ERR252 - Infinite loop condition without 'break' or 'return' not allowed in while-loops", + "ERR255 - Infinite loop condition without 'break' or 'return' not allowed in while-loops", exprtk_error_location)); result = error_node(); @@ -32580,7 +32738,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, parser_->current_state().token, - "ERR253 - Infinite loop condition without 'break' or 'return' not allowed in for-loop", + "ERR256 - Infinite loop condition without 'break' or 'return' not allowed in for-loop", exprtk_error_location)); result = error_node(); @@ -33331,7 +33489,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR254 - Failed to synthesize node: str_vararg_node", + "ERR257 - Failed to synthesize node: str_vararg_node", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33368,7 +33526,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR255 - Failed to synthesize node: vararg_node", + "ERR258 - Failed to synthesize node: vararg_node", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33423,7 +33581,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR256 - Failed to synthesize node: function_N_node_t", + "ERR259 - Failed to synthesize node: function_N_node_t", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33472,7 +33630,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR257 - Failed to synthesize node: vararg_function_node", + "ERR260 - Failed to synthesize node: vararg_function_node", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33538,7 +33696,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR258 - Failed to synthesize node: " + node_name, + "ERR261 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33612,7 +33770,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR259 - Failed to synthesize node: " + node_name, + "ERR262 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33657,7 +33815,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR260 - Failed to synthesize node: return_node", + "ERR263 - Failed to synthesize node: return_node", exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33718,7 +33876,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, token_t(), - "ERR261 - Index of " + details::to_str(vec_index) + " out of range for " + "ERR264 - Index of " + details::to_str(vec_index) + " out of range for " "vector '" + symbol + "' of size " + details::to_str(vector_base->size()), exprtk_error_location)); @@ -33747,7 +33905,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR262 - Failed to synthesize node: " + node_name + " for vector: " + symbol, + "ERR265 - Failed to synthesize node: " + node_name + " for vector: " + symbol, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33773,7 +33931,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR263 - Failed to synthesize node: " + node_name + " for vector: " + symbol, + "ERR266 - Failed to synthesize node: " + node_name + " for vector: " + symbol, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -33852,7 +34010,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR264 - Failed to synthesize node: " + node_name, + "ERR267 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -34008,7 +34166,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, token, - "ERR265 - Symbol '" + token.value + "' cannot be assigned-to as it is immutable.", + "ERR268 - Symbol '" + token.value + "' cannot be assigned-to as it is immutable.", exprtk_error_location)); } else @@ -34082,7 +34240,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR266 - Cannot assign value to const variable", + "ERR269 - Cannot assign value to const variable", exprtk_error_location)); return error_node(); @@ -34092,7 +34250,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR267 - Invalid branches for assignment operator '" + details::to_str(operation) + "'", + "ERR270 - Invalid branches for assignment operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -34350,7 +34508,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_syntax, parser_->current_state().token, - "ERR268 - Invalid branches for assignment operator '" + details::to_str(operation) + "'", + "ERR271 - Invalid branches for assignment operator '" + details::to_str(operation) + "'", exprtk_error_location)); return error_node(); @@ -34364,7 +34522,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR269 - Failed to synthesize node: " + node_name, + "ERR272 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -34454,7 +34612,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR270 - Failed to synthesize node: " + node_name, + "ERR273 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -34540,7 +34698,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR271 - Failed to synthesize node: " + node_name, + "ERR274 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -34623,7 +34781,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_synthesis, token_t(), - "ERR272 - Failed to synthesize node: " + node_name, + "ERR275 - Failed to synthesize node: " + node_name, exprtk_error_location)); details::free_node(*node_allocator_, result); @@ -41268,7 +41426,7 @@ namespace exprtk parser_->set_error(parser_error::make_error( parser_error::e_parser, token_t(), - "ERR273 - Failed to synthesize node: NodeType", + "ERR276 - Failed to synthesize node: NodeType", exprtk_error_location)); details::free_node(*node_allocator_, expression_point); @@ -43232,7 +43390,7 @@ namespace exprtk parser_error::make_error( parser_error::e_parser, lexer::token(), - "ERR274 - Function '" + name + "' is an invalid overload", + "ERR277 - Function '" + name + "' is an invalid overload", exprtk_error_location); error_list_.push_back(error); @@ -45861,10 +46019,10 @@ namespace exprtk using ::exprtk::details::char_cptr; static char_cptr library = "Mathematical Expression Toolkit"; - static char_cptr version = "2.71828182845904523536028747135266249775" - "7247093699959574966967627724076630353547" - "5945713821785251664274274663919320030599" - "2181741359662904357290033429526059563073"; + static char_cptr version = "2.718281828459045235360287471352662497757" + "24709369995957496696762772407663035354759" + "45713821785251664274274663919320030599218" + "17413596629043572900334295260595630738132"; static char_cptr date = "20240101"; static char_cptr min_cpp = "199711L"; diff --git a/exprtk_benchmark.cpp b/exprtk_benchmark.cpp deleted file mode 100644 index c989954..0000000 --- a/exprtk_benchmark.cpp +++ /dev/null @@ -1,569 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * ExprTk vs Native Benchmarks * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include -#include - -#include "exprtk.hpp" - - -const std::string global_expression_list[] = - { - "(y + x)", - "2 * (y + x)", - "(2 * y + 2 * x)", - "((1.23 * x^2) / y) - 123.123", - "(y + x / y) * (x - y / x)", - "x / ((x + y) + (x - y)) / y", - "1 - ((x * y) + (y / x)) - 3", - "(5.5 + x) + (2 * x - 2 / 3 * y) * (x / 3 + y / 4) + (y + 7.7)", - "1.1x^1 + 2.2y^2 - 3.3x^3 + 4.4y^15 - 5.5x^23 + 6.6y^55", - "sin(2 * x) + cos(pi / y)", - "1 - sin(2 * x) + cos(pi / y)", - "sqrt(111.111 - sin(2 * x) + cos(pi / y) / 333.333)", - "(x^2 / sin(2 * pi / y)) - x / 2", - "x + (cos(y - sin(2 / x * pi)) - sin(x - cos(2 * y / pi))) - y", - "clamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0)", - "max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11))", - "if((y + (x * 2.2)) <= (x + y + 1.1), x - y, x * y) + 2 * pi / x" - }; - -const std::size_t global_expression_list_size = sizeof(global_expression_list) / sizeof(std::string); - -static const double global_lower_bound_x = -100.0; -static const double global_lower_bound_y = -100.0; -static const double global_upper_bound_x = +100.0; -static const double global_upper_bound_y = +100.0; -static const double global_delta = 0.0111; - - -template class Sequence> -bool load_expression(exprtk::symbol_table& symbol_table, - Sequence,Allocator>& expr_seq) -{ - exprtk::parser parser; - - for (std::size_t i = 0; i < global_expression_list_size; ++i) - { - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(global_expression_list[i],expression)) - { - printf("[load_expression] - Parser Error: %s\tExpression: %s\n", - parser.error().c_str(), - global_expression_list[i].c_str()); - - return false; - } - - expr_seq.push_back(expression); - } - - return true; -} - -template -void run_exprtk_benchmark(T& x, T& y, - exprtk::expression& expression, - const std::string& expr_string) -{ - T total = T(0); - unsigned int count = 0; - - exprtk::timer timer; - timer.start(); - - for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta) - { - for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta) - { - total += expression.value(); - ++count; - } - } - - timer.stop(); - - if (T(0) != total) - printf("[exprtk] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n", - timer.time(), - count / timer.time(), - expr_string.c_str()); - else - printf("run_exprtk_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str()); -} - -template struct native; - -template -void run_native_benchmark(T& x, T& y, NativeFunction f, const std::string& expr_string) -{ - T total = T(0); - unsigned int count = 0; - - exprtk::timer timer; - timer.start(); - - for (x = global_lower_bound_x; x <= global_upper_bound_x; x += global_delta) - { - for (y = global_lower_bound_y; y <= global_upper_bound_y; y += global_delta) - { - total += f(x,y); - ++count; - } - } - - timer.stop(); - - if (T(0) != total) - printf("[native] Total Time:%12.8f Rate:%14.3fevals/sec Expression: %s\n", - timer.time(), - count / timer.time(), - expr_string.c_str()); - else - printf("run_native_benchmark() - Error running benchmark for expression: %s\n",expr_string.c_str()); -} - -template -bool run_parse_benchmark(exprtk::symbol_table& symbol_table) -{ - static const std::size_t rounds = 100000; - exprtk::parser parser; - exprtk::expression expression; - - expression.register_symbol_table(symbol_table); - - for (std::size_t i = 0; i < global_expression_list_size; ++i) - { - exprtk::timer timer; - timer.start(); - - for (std::size_t r = 0; r < rounds; ++r) - { - if (!parser.compile(global_expression_list[i],expression)) - { - printf("[run_parse_benchmark] - Parser Error: %s\tExpression: %s\n", - parser.error().c_str(), - global_expression_list[i].c_str()); - - return false; - } - } - - timer.stop(); - - printf("[parse] Total Time:%12.8f Rate:%14.3fparse/sec Expression: %s\n", - timer.time(), - rounds / timer.time(), - global_expression_list[i].c_str()); - } - - return true; -} - -const double pi = 3.141592653589793238462643383279502; - -template -struct native -{ - typedef typename exprtk::details::functor_t functor_t; - typedef typename functor_t::Type Type; - - static inline T avg(Type x, Type y) - { - return (x + y) / T(2); - } - - static inline T clamp(const Type l, const Type v, const Type u) - { - return ((v < l) ? l : ((v > u) ? u : v)); - } - - static inline T func00(Type x, Type y) - { - return (y + x); - } - - static inline T func01(Type x, Type y) - { - return T(2) * (y + x); - } - - static inline T func02(Type x, Type y) - { - return (T(2) * y + T(2) * x); - } - - static inline T func03(Type x, Type y) - { - return ((T(1.23) * (x * x)) / y) - T(123.123); - } - - static inline T func04(Type x, Type y) - { - return (y + x / y) * (x - y / x); - } - - static inline T func05(Type x, Type y) - { - return x / ((x + y) + (x - y)) / y; - } - - static inline T func06(Type x, Type y) - { - return T(1) - ((x * y) + (y / x)) - T(3); - } - - static inline T func07(Type x, Type y) - { - return (T(5.5) + x) + (T(2) * x - T(2) / T(3) * y) * (x / T(3) + y / T(4)) + (y + T(7.7)); - } - - static inline T func08(Type x, Type y) - { - using namespace std; - return (T(1.1)*pow(x,T(1))+T(2.2)*pow(y,T(2))-T(3.3)*pow(x,T(3))+T(4.4)*pow(y,T(15))-T(5.5)*pow(x,T(23))+T(6.6)*pow(y,T(55))); - } - - static inline T func09(Type x, Type y) - { - return std::sin(T(2) * x) + std::cos(pi / y); - } - - static inline T func10(Type x, Type y) - { - return T(1) - std::sin(T(2) * x) + std::cos(pi / y); - } - - static inline T func11(Type x, Type y) - { - return std::sqrt(T(111.111) - std::sin(T(2) * x) + std::cos(pi / y) / T(333.333)); - } - - static inline T func12(Type x, Type y) - { - return ((x * x) / std::sin(T(2) * pi / y)) - x / T(2); - } - - static inline T func13(Type x, Type y) - { - return (x + (std::cos(y - std::sin(T(2) / x * pi)) - std::sin(x - std::cos(T(2) * y / pi))) - y); - } - - static inline T func14(Type x, Type y) - { - return clamp(T(-1), std::sin(T(2) * pi * x) + std::cos(y / T(2) * pi), + T(1)); - } - - static inline T func15(Type x, Type y) - { - return std::max(T(3.33), std::min(sqrt(T(1) - std::sin(T(2) * x) + std::cos(pi / y) / T(3)), T(1.11))); - } - - static inline T func16(Type x, Type y) - { - return (((y + (x * T(2.2))) <= (x + y + T(1.1))) ? x - y : x * y) + T(2) * pi / x; - } -}; - -double pgo_primer(); -void perform_file_based_benchmark(const std::string& file_name, const std::size_t& rounds = 100000); - -int main(int argc, char* argv[]) -{ - if (argc >= 2) - { - const std::string file_name = argv[1]; - - if (argc == 2) - perform_file_based_benchmark(file_name); - else - perform_file_based_benchmark(file_name,atoi(argv[2])); - - return 0; - } - - pgo_primer(); - - double x = 0; - double y = 0; - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - std::deque > compiled_expr_list; - - if (!load_expression(symbol_table,compiled_expr_list)) - { - return 1; - } - - { - printf("--- EXPRTK ---\n"); - for (std::size_t i = 0; i < compiled_expr_list.size(); ++i) - { - run_exprtk_benchmark(x,y,compiled_expr_list[i],global_expression_list[i]); - } - } - - { - printf("--- NATIVE ---\n"); - run_native_benchmark(x, y, native::func00,global_expression_list[ 0]); - run_native_benchmark(x, y, native::func01,global_expression_list[ 1]); - run_native_benchmark(x, y, native::func02,global_expression_list[ 2]); - run_native_benchmark(x, y, native::func03,global_expression_list[ 3]); - run_native_benchmark(x, y, native::func04,global_expression_list[ 4]); - run_native_benchmark(x, y, native::func05,global_expression_list[ 5]); - run_native_benchmark(x, y, native::func06,global_expression_list[ 6]); - run_native_benchmark(x, y, native::func07,global_expression_list[ 7]); - run_native_benchmark(x, y, native::func08,global_expression_list[ 8]); - run_native_benchmark(x, y, native::func09,global_expression_list[ 9]); - run_native_benchmark(x, y, native::func10,global_expression_list[10]); - run_native_benchmark(x, y, native::func11,global_expression_list[11]); - run_native_benchmark(x, y, native::func12,global_expression_list[12]); - run_native_benchmark(x, y, native::func13,global_expression_list[13]); - run_native_benchmark(x, y, native::func14,global_expression_list[14]); - run_native_benchmark(x, y, native::func15,global_expression_list[15]); - run_native_benchmark(x, y, native::func16,global_expression_list[16]); - } - - { - printf("--- PARSE ----\n"); - run_parse_benchmark(symbol_table); - } - - return 0; -} - -double pgo_primer() -{ - static const double lower_bound_x = -50.0; - static const double lower_bound_y = -50.0; - static const double upper_bound_x = +50.0; - static const double upper_bound_y = +50.0; - static const double delta = 0.07; - - double total = 0.0; - - for (double x = lower_bound_x; x <= upper_bound_x; x += delta) - { - for (double y = lower_bound_y; y <= upper_bound_y; y += delta) - { - total += native::func00(x,y); - total += native::func01(x,y); - total += native::func02(x,y); - total += native::func03(x,y); - total += native::func04(x,y); - total += native::func05(x,y); - total += native::func06(x,y); - total += native::func07(x,y); - total += native::func08(x,y); - total += native::func09(x,y); - total += native::func10(x,y); - total += native::func11(x,y); - total += native::func12(x,y); - total += native::func13(x,y); - total += native::func14(x,y); - total += native::func15(x,y); - total += native::func16(x,y); - } - } - - return total; -} - -inline std::size_t load_expression_file(const std::string& file_name, std::deque& expression_list) -{ - std::ifstream stream(file_name.c_str()); - - if (!stream) return 0; - - std::string buffer; - buffer.reserve(1024); - std::size_t line_count = 0; - - while (std::getline(stream,buffer)) - { - if (buffer.empty()) - continue; - else if ('#' == buffer[0]) - continue; - - ++line_count; - expression_list.push_back(buffer); - } - - return line_count; -} - -void perform_file_based_benchmark(const std::string& file_name, const std::size_t& rounds) -{ - std::deque expr_str_list; - - if (0 == load_expression_file(file_name,expr_str_list)) - { - printf("Failed to load any expressions from: %s\n", file_name.c_str()); - return; - } - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - std::deque expression_list; - - symbol_table_t symbol_table; - - double a = 1.1; - double b = 2.2; - double c = 3.3; - double x = 2.123456; - double y = 3.123456; - double z = 4.123456; - double w = 5.123456; - - exprtk::rtl::vecops::package vector_package; - - symbol_table.add_variable("a", a); - symbol_table.add_variable("b", b); - symbol_table.add_variable("c", c); - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - symbol_table.add_variable("z", z); - symbol_table.add_variable("w", w); - - exprtk::polynomial poly01; - exprtk::polynomial poly02; - exprtk::polynomial poly03; - exprtk::polynomial poly04; - exprtk::polynomial poly05; - exprtk::polynomial poly06; - exprtk::polynomial poly07; - exprtk::polynomial poly08; - exprtk::polynomial poly09; - exprtk::polynomial poly10; - exprtk::polynomial poly11; - exprtk::polynomial poly12; - - symbol_table.add_function("poly01", poly01); - symbol_table.add_function("poly02", poly02); - symbol_table.add_function("poly03", poly03); - symbol_table.add_function("poly04", poly04); - symbol_table.add_function("poly05", poly05); - symbol_table.add_function("poly06", poly06); - symbol_table.add_function("poly07", poly07); - symbol_table.add_function("poly08", poly08); - symbol_table.add_function("poly09", poly09); - symbol_table.add_function("poly10", poly10); - symbol_table.add_function("poly11", poly11); - symbol_table.add_function("poly12", poly12); - - symbol_table.add_package(vector_package); - - - static double e = exprtk::details::numeric::constant::e; - symbol_table.add_variable("e", e, true); - - symbol_table.add_constants(); - - { - parser_t parser; - - for (std::size_t i = 0; i < expr_str_list.size(); ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expr_str_list[i],expression)) - { - printf("[perform_file_based_benchmark] - Parser Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return; - } - - expression_list.push_back(expression); - } - } - - exprtk::timer total_timer; - exprtk::timer timer; - - double single_eval_total_time = 0.0; - - total_timer.start(); - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - expression_t& expression = expression_list[i]; - - a = 1.1; - b = 2.2; - c = 3.3; - x = 2.123456; - y = 3.123456; - z = 4.123456; - w = 5.123456; - - timer.start(); - double sum = 0.0; - - for (std::size_t r = 0; r < rounds; ++r) - { - sum += expression.value(); - std::swap(a,b); - std::swap(x,y); - } - - timer.stop(); - - printf("Expression %3d of %3d %9.3f ns\t%10d ns\t(%30.10f) '%s'\n", - static_cast(i + 1), - static_cast(expression_list.size()), - (timer.time() * 1000000000.0) / (1.0 * rounds), - static_cast(timer.time() * 1000000000.0), - sum, - expr_str_list[i].c_str()); - - fflush(stdout); - - single_eval_total_time += (timer.time() * 1000000000.0) / (1.0 * rounds); - } - - total_timer.stop(); - - printf("[*] Number Of Evals: %15.0f\n", - rounds * (expression_list.size() * 1.0)); - - printf("[*] Total Time: %9.3fsec\n", - total_timer.time()); - - printf("[*] Total Single Eval Time: %9.3fms\n", - single_eval_total_time / 1000000.0); -} diff --git a/exprtk_functional_ext_test.txt b/exprtk_functional_ext_test.txt deleted file mode 100644 index 34a5b57..0000000 --- a/exprtk_functional_ext_test.txt +++ /dev/null @@ -1,37872 +0,0 @@ -equal((x := 11.1237567810735),(11.1237567810735)) -equal((y := 13.1239567810735),(13.1239567810735)) -equal((z := 15.1233567810735),(15.1233567810735)) -equal((w := 19.1235567810735),(19.1235567810735)) -equal((0000000039.3710703432204999999999999999999999999877),(((x+y)+z))) -equal((0000000009.1243567810735000000000000000000000000204),(((x+y)-z))) -equal((0000000366.7068233256237043156248044999999999997817),(((x+y)*z))) -equal((0000000001.6033288054469760732149222750403023248516),(((x+y)/z))) -equal((0000000013.1231567810735000000000000000000000000138),(((x-y)+z))) -equal((-000000017.1235567810734999999999999999999999999533),(((x-y)-z))) 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-equal((-0000000000000015684.3719267699243710159514683277002041752731),(((((((x/y)*z)-w)+((x+y)+(z/w)))+(((x+y)+(z*w))*((x/y)+(z-w))))+((((x+y)+(z/w))/((x*y)-(z-w)))/(((x/y)+(z-w))-(x+(y*(z/w)))))))) -equal((-0000000000000001545.7626799175874777047815397490331917054538),(((((((x+y)/z)-w)-((x-y)+(z*w)))-(((x+y)+(z/w))/((x*y)-(z-w))))-((((x-y)+(z*w))+((x/y)-(z-w)))+(((x*y)-(z-w))*(x-(y*(z/w)))))))) -equal((-0000000032376663845.3332741413280809841435301344793587136071),(((((((x-y)/z)-w)*((x-y)+(z/w)))*(((x-y)+(z*w))+((x/y)-(z-w))))*((((x-y)+(z/w))-((x+y)*(z*w)))-(((x/y)-(z-w))/(x+(y/(z*w)))))))) -equal((00000000000000000000.0000000000000002870453045946144291314331),(((((((x*y)/z)-w)/((x-y)-(z*w)))/(((x-y)+(z/w))-((x+y)*(z*w))))/((((x-y)-(z*w))*((x+y)*(z/w)))*(((x+y)*(z*w))+(x-(y/(z*w)))))))) -equal((-0000000000000036848.7505105710277717969872582553413079624577),(((((((x/y)/z)-w)+((x-y)-(z/w)))+(((x-y)-(z*w))*((x+y)*(z/w))))+((((x-y)-(z/w))/((x+y)/(z*w)))/(((x+y)*(z/w))-(x+((y+z)/w))))))) -equal((00000000000000002035.6793121657201821620980991420384113733052),((((((x*y)+(z*w))-((x+y)-(z-w)))-(((x-y)-(z/w))/((x+y)/(z*w))))-((((x+y)-(z-w))+((x+y)/(z/w)))+(((x+y)/(z*w))*(x+((y+z)*w))))))) -equal((-0000000000043525967.4689616153743190063266084962590889319357),((((((x*y)-(z*w))*((x+y)+(z-w)))*(((x+y)-(z-w))+((x+y)/(z/w))))*((((x+y)+(z-w))-((x-y)/(z*w)))-(((x+y)/(z/w))/(x+((y-z)/w))))))) -equal((00000000000000000000.0000000119339494652285198657612303410530),((((((x*y)+(z/w))/((x+y)*(z-w)))/(((x+y)+(z-w))-((x-y)/(z*w))))/((((x+y)*(z-w))*((x-y)/(z/w)))*(((x-y)/(z*w))+(x+((y-z)*w))))))) -equal((00000000000000005601.1535726254207066669427494967400534385811),((((((x*y)-(z/w))+((x+y)/(z-w)))+(((x+y)*(z-w))*((x-y)/(z/w))))+((((x+y)/(z-w))/((x-y)*(z*w)))/(((x-y)/(z/w))-(x+((y*z)/w))))))) -equal((00000000000520002668.8820503529759586480793501081622090844097),((((((x/y)+(z/w))-((x-y)-(z+w)))-(((x+y)/(z-w))/((x-y)*(z*w))))-((((x-y)-(z+w))+((x-y)*(z/w)))+(((x-y)*(z*w))*(x+((y*z)*w))))))) -equal((-0000000000030023473.7027465054470168899620566408708251052337),((((((x/y)-(z/w))*((x-y)+(z+w)))*(((x-y)-(z+w))+((x-y)*(z/w))))*((((x-y)+(z+w))-((x*y)*(z+w)))-(((x-y)*(z/w))/(x+((y/z)+w))))))) -equal((00000000000000000000.0000000000001445952817806320611476374408),((((((x/y)-(z*w))/((x-y)*(z+w)))/(((x-y)+(z+w))-((x*y)*(z+w))))/((((x-y)*(z+w))*((x/y)*(z+w)))*(((x*y)*(z+w))+(x+((y/z)/w))))))) -equal((-0000000000000033002.2221262472052390971467447442218895935510),(((((x/(y+(z*w)))+((x-y)/(z+w)))+(((x-y)*(z+w))*((x/y)*(z+w))))+((((x-y)/(z+w))/((x*y)/(z+w)))/(((x/y)*(z+w))-(x+((y/z)*w))))))) -equal((-0000000000000000369.1020162691360050889403155139086694191608),(((((x/(y-(z*w)))-((x*y)-(z+w)))-(((x-y)/(z+w))/((x*y)/(z+w))))-((((x*y)-(z+w))+((x/y)/(z+w)))+(((x*y)/(z+w))*(x-((y+z)/w))))))) -equal((00000000011627633831.3786444848604531336670767679567688133275),(((((x*(y+(z*w)))*((x/y)-(z+w)))*(((x*y)-(z+w))+((x/y)/(z+w))))*((((x/y)-(z+w))-((x*y)/(z-w)))-(((x/y)/(z+w))/(x-((y+z)*w))))))) -equal((00000000000000000000.0056025587915293310312535948505362259564),(((((x*(y-(z*w)))/((x*y)+(z+w)))/(((x/y)-(z+w))-((x*y)/(z-w))))/((((x*y)+(z+w))*((x/y)/(z-w)))*(((x*y)/(z-w))+(x-((y-z)/w))))))) -equal((-0000000000000001365.3038555603349492791122171915965860196720),((((((x+y)-(z*w))+((x/y)+(z+w)))+(((x*y)+(z+w))*((x/y)/(z-w))))+((((x/y)+(z+w))/((x*y)*(z-w)))/(((x/y)/(z-w))-(x-((y-z)*w))))))) -equal((-0000000000000015278.8690619551422040423875811207155467409940),((((((x+y)-(z/w))-((x*y)+(z-w)))-(((x/y)+(z+w))/((x*y)*(z-w))))-((((x*y)+(z-w))+((x/y)*(z-w)))+(((x*y)*(z-w))*(x-((y*z)/w))))))) -equal((00000000000137699778.8499741268488973740921118043946575309751),((((((x+y)+(z*w))*((x/y)+(z-w)))*(((x*y)+(z-w))+((x/y)*(z-w))))*((((x/y)+(z-w))-(x+(y*(z/w))))-(((x/y)*(z-w))/(x-((y*z)*w))))))) -equal((00000000000000000000.0000000631636376799462883874872620156302),((((((x+y)+(z/w))/((x*y)-(z-w)))/(((x/y)+(z-w))-(x+(y*(z/w)))))/((((x*y)-(z-w))*(x-(y*(z/w))))*((x+(y*(z/w)))+(x-((y/z)/w))))))) -equal((00000000000000000052.0695835879599632814231857107635674651614),((((((x-y)+(z*w))+((x/y)-(z-w)))+(((x*y)-(z-w))*(x-(y*(z/w)))))+((((x/y)-(z-w))/(x+(y/(z*w))))/((x-(y*(z/w)))-(x-((y/z)*w))))))) -equal((-0000000000000108979.4762033399382293419843389748776723293289),((((((x-y)+(z/w))-((x+y)*(z*w)))-(((x/y)-(z-w))/(x+(y/(z*w)))))-((((x+y)*(z*w))+(x-(y/(z*w))))+((x+(y/(z*w)))*(((x+y)*z)-w)))))) -equal((-0000000022524373274.6347794958276844870788139575593132269915),((((((x-y)-(z*w))*((x+y)*(z/w)))*(((x+y)*(z*w))+(x-(y/(z*w)))))*((((x+y)*(z/w))-(x+((y+z)/w)))-((x-(y/(z*w)))/(((x-y)*z)-w)))))) -equal((-0000000000000000000.0000907617288300572189407365201640842844),((((((x-y)-(z/w))/((x+y)/(z*w)))/(((x+y)*(z/w))-(x+((y+z)/w))))/((((x+y)/(z*w))*(x+((y+z)*w)))*((x+((y+z)/w))+(((x*y)*z)-w)))))) -equal((00000000000000000144.2423371298413095875194957907255425407001),((((((x+y)-(z-w))+((x+y)/(z/w)))+(((x+y)/(z*w))*(x+((y+z)*w))))+((((x+y)/(z/w))/(x+((y-z)/w)))/((x+((y+z)*w))-(((x/y)*z)-w)))))) -equal((00000000000000000961.3144454324458685212858003973274811106500),((((((x+y)+(z-w))-((x-y)/(z*w)))-(((x+y)/(z/w))/(x+((y-z)/w))))-((((x-y)/(z*w))+(x+((y-z)*w)))+((x+((y-z)/w))*(((x+y)/z)-w)))))) -equal((00000000000134825974.8314374914491968438797066708292074855998),((((((x+y)*(z-w))*((x-y)/(z/w)))*(((x-y)/(z*w))+(x+((y-z)*w))))*((((x-y)/(z/w))-(x+((y*z)/w)))-((x+((y-z)*w))/(((x-y)/z)-w)))))) -equal((-0000000000000000000.0000000000000009517439075745006511307194),((((((x+y)/(z-w))/((x-y)*(z*w)))/(((x-y)/(z/w))-(x+((y*z)/w))))/((((x-y)*(z*w))*(x+((y*z)*w)))*((x+((y*z)/w))+(((x*y)/z)-w)))))) -equal((-0000000000520002579.3818396607850524795885215723877911625635),((((((x-y)-(z+w))+((x-y)*(z/w)))+(((x-y)*(z*w))*(x+((y*z)*w))))+((((x-y)*(z/w))/(x+((y/z)+w)))/((x+((y*z)*w))-(((x/y)/z)-w)))))) -equal((-0000000000000133444.7752850589098166420172789964590021382653),((((((x-y)+(z+w))-((x*y)*(z+w)))-(((x-y)*(z/w))/(x+((y/z)+w))))-((((x*y)*(z+w))+(x+((y/z)/w)))+((x+((y/z)+w))*((x*y)+(z*w))))))) -equal((00000000001095858375.8913351850378351547449715808055548044177),((((((x-y)*(z+w))*((x/y)*(z+w)))*(((x*y)*(z+w))+(x+((y/z)/w))))*((((x/y)*(z+w))-(x+((y/z)*w)))-((x+((y/z)/w))/((x*y)-(z*w))))))) -equal((00000000000000000000.0000028178320881985069946824683940459603),((((((x-y)/(z+w))/((x*y)/(z+w)))/(((x/y)*(z+w))-(x+((y/z)*w))))/((((x*y)/(z+w))*(x-((y+z)/w)))*((x+((y/z)*w))+((x*y)+(z/w))))))) -equal((00000000000000000200.2965856038888999198913717654824990041072),((((((x*y)-(z+w))+((x/y)/(z+w)))+(((x*y)/(z+w))*(x-((y+z)/w))))+((((x/y)/(z+w))/(x-((y+z)*w)))/((x-((y+z)/w))-((x*y)-(z/w))))))) -equal((00000000000000002998.2962281741596498736362193627750735292627),((((((x/y)-(z+w))-((x*y)/(z-w)))-(((x/y)/(z+w))/(x-((y+z)*w))))-((((x*y)/(z-w))+(x-((y-z)/w)))+((x-((y+z)*w))*((x/y)+(z/w))))))) -equal((-0000000000000073256.0379613920391140283678917190978291313848),((((((x*y)+(z+w))*((x/y)/(z-w)))*(((x*y)/(z-w))+(x-((y-z)/w))))*((((x/y)/(z-w))-(x-((y-z)*w)))-((x-((y-z)/w))/((x/y)-(z/w))))))) -equal((-0000000000000000000.0000000000040394294496810276022849566857),((((((x/y)+(z+w))/((x*y)*(z-w)))/(((x/y)/(z-w))-(x-((y-z)*w))))/((((x*y)*(z-w))*(x-((y*z)/w)))*((x-((y-z)*w))+((x/y)-(z*w))))))) -equal((00000000000000015076.3046511712312154267165989824640250451020),((((((x*y)+(z-w))+((x/y)*(z-w)))+(((x*y)*(z-w))*(x-((y*z)/w))))+((((x/y)*(z-w))/(x-((y*z)*w)))/((x-((y*z)/w))-(x/(y+(z*w)))))))) -equal((-0000000000000000326.8544823549169766321875830531688553435369),((((((x/y)+(z-w))-(x+(y*(z/w))))-(((x/y)*(z-w))/(x-((y*z)*w))))-(((x+(y*(z/w)))+(x-((y/z)/w)))+((x-((y*z)*w))*(x/(y-(z*w)))))))) -equal((-0000000000000704378.7422121764586521660170774700013446580324),((((((x*y)-(z-w))*(x-(y*(z/w))))*((x+(y*(z/w)))+(x-((y/z)/w))))*(((x-(y*(z/w)))-(x-((y/z)*w)))-((x-((y/z)/w))/(x*(y+(z*w)))))))) -equal((-0000000000000000000.0000000004253776874332762130411242636259),((((((x/y)-(z-w))/(x+(y/(z*w))))/((x-(y*(z/w)))-(x-((y/z)*w))))/(((x+(y/(z*w)))*(((x+y)*z)-w))*((x-((y/z)*w))+(x*(y-(z*w)))))))) -equal((00000000000000060377.1180398454811563282825600687856996784954),((((((x+y)*(z*w))+(x-(y/(z*w))))+((x+(y/(z*w)))*(((x+y)*z)-w)))+(((x-(y/(z*w)))/(((x-y)*z)-w))/((((x+y)*z)-w)-((x+y)-(z*w))))))) -equal((00000000000000005167.1308398156531797339775029717961025812197),((((((x+y)*(z/w))-(x+((y+z)/w)))-((x-(y/(z*w)))/(((x-y)*z)-w)))-(((x+((y+z)/w))+(((x*y)*z)-w))+((((x-y)*z)-w)*((x+y)-(z/w))))))) -equal((00000000001117587677.2193852140090482432094697166157665268173),((((((x+y)/(z*w))*(x+((y+z)*w)))*((x+((y+z)/w))+(((x*y)*z)-w)))*(((x+((y+z)*w))-(((x/y)*z)-w))-((((x*y)*z)-w)/((x+y)+(z*w))))))) -equal((-0000000000000000000.0000005373017778640758099019812626421320),((((((x+y)/(z/w))/(x+((y-z)/w)))/((x+((y+z)*w))-(((x/y)*z)-w)))/(((x+((y-z)/w))*(((x+y)/z)-w))*((((x/y)*z)-w)+((x+y)+(z/w))))))) -equal((-0000000000000000943.1399151669515703651838992990822835724323),((((((x-y)/(z*w))+(x+((y-z)*w)))+((x+((y-z)/w))*(((x+y)/z)-w)))+(((x+((y-z)*w))/(((x-y)/z)-w))/((((x+y)/z)-w)-((x-y)+(z*w))))))) 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-equal((-0000000000000058685.7047070717659460364037151524089451912184),((((((((x+y)-(7.123*w))+((x/y)+(7.123+w)))+(((x*y)+(7.123+w))*((x/y)/(7.123-w))))+((((x/y)+(7.123+w))/((x*y)*(7.123-w)))/(((x/y)/(7.123-w))-(x-((y-7.123)*w)))))+(((((x-y)+(7.321+w))-((x*y)*(7.321+w)))-(((x-y)*(7.321/w))/(x+((y/7.321)+w))))-((((x*y)*(7.321+w))+(x+((y/7.321)/w)))+((x+((y/7.321)+w))*((x*y)+(7.321*w))))))))) -equal((-0000000021968693314.3045599370298649928137509186738062241257),((((((((x+y)-(7.123/w))-((x*y)+(7.123-w)))-(((x/y)+(7.123+w))/((x*y)*(7.123-w))))-((((x*y)+(7.123-w))+((x/y)*(7.123-w)))+(((x*y)*(7.123-w))*(x-((y*7.123)/w)))))-(((((x-y)*(7.321+w))*((x/y)*(7.321+w)))*(((x*y)*(7.321+w))+(x+((y/7.321)/w))))*((((x/y)*(7.321+w))-(x+((y/7.321)*w)))-((x+((y/7.321)/w))/((x*y)-(7.321*w))))))))) -equal((00000000000000000002.3856436169593518887770015504542917485101),((((((((x+y)+(7.123*w))*((x/y)+(7.123-w)))*(((x*y)+(7.123-w))+((x/y)*(7.123-w))))*((((x/y)+(7.123-w))-(x+(y*(7.123/w))))-(((x/y)*(7.123-w))/(x-((y*7.123)*w)))))*(((((x-y)/(7.321+w))/((x*y)/(7.321+w)))/(((x/y)*(7.321+w))-(x+((y/7.321)*w))))/((((x*y)/(7.321+w))*(x-((y+7.321)/w)))*((x+((y/7.321)*w))+((x*y)+(7.321/w))))))))) -equal((-0000000000000000000.0000000001711628609037072467471447371969),((((((((x+y)+(7.123/w))/((x*y)-(7.123-w)))/(((x/y)+(7.123-w))-(x+(y*(7.123/w)))))/((((x*y)-(7.123-w))*(x-(y*(7.123/w))))*((x+(y*(7.123/w)))+(x-((y/7.123)/w)))))/(((((x*y)-(7.321+w))+((x/y)/(7.321+w)))+(((x*y)/(7.321+w))*(x-((y+7.321)/w))))+((((x/y)/(7.321+w))/(x-((y+7.321)*w)))/((x-((y+7.321)/w))-((x*y)-(7.321/w))))))))) -equal((00000000000000003291.7003238095586917013384801891769384391207),((((((((x-y)+(7.123*w))+((x/y)-(7.123-w)))+(((x*y)-(7.123-w))*(x-(y*(7.123/w)))))+((((x/y)-(7.123-w))/(x+(y/(7.123*w))))/((x-(y*(7.123/w)))-(x-((y/7.123)*w)))))+(((((x/y)-(7.321+w))-((x*y)/(7.321-w)))-(((x/y)/(7.321+w))/(x-((y+7.321)*w))))-((((x*y)/(7.321-w))+(x-((y-7.321)/w)))+((x-((y+7.321)*w))*((x/y)+(7.321/w))))))))) -equal((-0000000000000012911.8557767342651398097165752821798389116135),((((((((x-y)+(7.123/w))-((x+y)*(7.123*w)))-(((x/y)-(7.123-w))/(x+(y/(7.123*w)))))-((((x+y)*(7.123*w))+(x-(y/(7.123*w))))+((x+(y/(7.123*w)))*(((x+y)*7.123)-w))))-(((((x*y)+(7.321+w))*((x/y)/(7.321-w)))*(((x*y)/(7.321-w))+(x-((y-7.321)/w))))*((((x/y)/(7.321-w))-(x-((y-7.321)*w)))-((x-((y-7.321)/w))/((x/y)-(7.321/w))))))))) -equal((-0000000000000000000.0000158614579308929475990730184749328579),((((((((x-y)-(7.123*w))*((x+y)*(7.123/w)))*(((x+y)*(7.123*w))+(x-(y/(7.123*w)))))*((((x+y)*(7.123/w))-(x+((y+7.123)/w)))-((x-(y/(7.123*w)))/(((x-y)*7.123)-w))))*(((((x/y)+(7.321+w))/((x*y)*(7.321-w)))/(((x/y)/(7.321-w))-(x-((y-7.321)*w))))/((((x*y)*(7.321-w))*(x-((y*7.321)/w)))*((x-((y-7.321)*w))+((x/y)-(7.321*w))))))))) -equal((-0000000000000000000.0000000010308896574962156842841371128296),((((((((x-y)-(7.123/w))/((x+y)/(7.123*w)))/(((x+y)*(7.123/w))-(x+((y+7.123)/w))))/((((x+y)/(7.123*w))*(x+((y+7.123)*w)))*((x+((y+7.123)/w))+(((x*y)*7.123)-w))))/(((((x*y)+(7.321-w))+((x/y)*(7.321-w)))+(((x*y)*(7.321-w))*(x-((y*7.321)/w))))+((((x/y)*(7.321-w))/(x-((y*7.321)*w)))/((x-((y*7.321)/w))-(x/(y+(7.321*w)))))))))) 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-equal((00000000000000000159.7430208910700548705448757693265387290728),((((((((x-y)*(7.123*w))*(x+((y*7.123)*w)))*((x+((y*7.123)/w))+(((x*y)/7.123)-w)))*(((x+((y*7.123)*w))-(((x/y)/7.123)-w))-((((x*y)/7.123)-w)/((x-y)-(7.123*w)))))*((((x-(y/(7.321*w)))/(((x-y)*7.321)-w))/((((x+y)*7.321)-w)-((x+y)-(7.321*w))))/(((((x-y)*7.321)-w)*((x+y)-(7.321/w)))*(((x+y)-(7.321*w))+((x/y)+(7.321+w))))))))) -equal((-0000000000000000000.0000000000000010214633658736167823775242),((((((((x-y)*(7.123/w))/(x+((y/7.123)+w)))/((x+((y*7.123)*w))-(((x/y)/7.123)-w)))/(((x+((y/7.123)+w))*((x*y)+(7.123*w)))*((((x/y)/7.123)-w)+((x-y)-(7.123/w)))))/((((x+((y+7.321)/w))+(((x*y)*7.321)-w))+((((x-y)*7.321)-w)*((x+y)-(7.321/w))))+(((((x*y)*7.321)-w)/((x+y)+(7.321*w)))/(((x+y)-(7.321/w))-((x*y)+(7.321-w))))))))) -equal((00000000000000059607.7079566248424790105098764362761902731288),((((((((x*y)*(7.123+w))+(x+((y/7.123)/w)))+((x+((y/7.123)+w))*((x*y)+(7.123*w))))+(((x+((y/7.123)/w))/((x*y)-(7.123*w)))/(((x*y)+(7.123*w))-((x+y)-(7.123-w)))))+((((x+((y+7.321)*w))-(((x/y)*7.321)-w))-((((x*y)*7.321)-w)/((x+y)+(7.321*w))))-(((((x/y)*7.321)-w)+((x+y)+(7.321/w)))+(((x+y)+(7.321*w))*((x/y)+(7.321-w))))))))) -equal((00000000000001120696.1292530772943578878369954510434332865067),((((((((x/y)*(7.123+w))-(x+((y/7.123)*w)))-((x+((y/7.123)/w))/((x*y)-(7.123*w))))-(((x+((y/7.123)*w))+((x*y)+(7.123/w)))+(((x*y)-(7.123*w))*((x+y)+(7.123-w)))))-((((x+((y-7.321)/w))*(((x+y)/7.321)-w))*((((x/y)*7.321)-w)+((x+y)+(7.321/w))))*(((((x+y)/7.321)-w)-((x-y)+(7.321*w)))-(((x+y)+(7.321/w))/((x*y)-(7.321-w))))))))) -equal((-0000000000000000001.1176982083070721333879926865822966496889),((((((((x*y)/(7.123+w))*(x-((y+7.123)/w)))*((x+((y/7.123)*w))+((x*y)+(7.123/w))))*(((x-((y+7.123)/w))-((x*y)-(7.123/w)))-(((x*y)+(7.123/w))/((x+y)*(7.123-w)))))*((((x+((y-7.321)*w))/(((x-y)/7.321)-w))/((((x+y)/7.321)-w)-((x-y)+(7.321*w))))/(((((x-y)/7.321)-w)*((x-y)+(7.321/w)))*(((x-y)+(7.321*w))+((x/y)-(7.321-w))))))))) -equal((-0000000000000000000.0000000000000003137193787190276843587556),((((((((x/y)/(7.123+w))/(x-((y+7.123)*w)))/((x-((y+7.123)/w))-((x*y)-(7.123/w))))/(((x-((y+7.123)*w))*((x/y)+(7.123/w)))*(((x*y)-(7.123/w))+((x+y)/(7.123-w)))))/((((x+((y*7.321)/w))+(((x*y)/7.321)-w))+((((x-y)/7.321)-w)*((x-y)+(7.321/w))))+(((((x*y)/7.321)-w)/((x-y)-(7.321*w)))/(((x-y)+(7.321/w))-((x+y)*(7.321*w))))))))) -equal((00000000000000008254.3483627486798271526901667426912805865792),((((((((x*y)/(7.123-w))+(x-((y-7.123)/w)))+((x-((y+7.123)*w))*((x/y)+(7.123/w))))+(((x-((y-7.123)/w))/((x/y)-(7.123/w)))/(((x/y)+(7.123/w))-((x-y)-(7.123+w)))))+((((x+((y*7.321)*w))-(((x/y)/7.321)-w))-((((x*y)/7.321)-w)/((x-y)-(7.321*w))))-(((((x/y)/7.321)-w)+((x-y)-(7.321/w)))+(((x-y)-(7.321*w))*((x+y)*(7.321/w))))))))) -equal((00000000001112568859.6945556721536634046077706210117686000633),((((((((x/y)/(7.123-w))-(x-((y-7.123)*w)))-((x-((y-7.123)/w))/((x/y)-(7.123/w))))-(((x-((y-7.123)*w))+((x/y)-(7.123*w)))+(((x/y)-(7.123/w))*((x-y)+(7.123+w)))))-((((x+((y/7.321)+w))*((x*y)+(7.321*w)))*((((x/y)/7.321)-w)+((x-y)-(7.321/w))))*((((x*y)+(7.321*w))-((x+y)-(7.321-w)))-(((x-y)-(7.321/w))/((x+y)/(7.321*w))))))))) -equal((-0000000000000000001.8194213404369805556697842165673874139199),((((((((x*y)*(7.123-w))*(x-((y*7.123)/w)))*((x-((y-7.123)*w))+((x/y)-(7.123*w))))*(((x-((y*7.123)/w))-(x/(y+(7.123*w))))-(((x/y)-(7.123*w))/((x-y)*(7.123+w)))))*((((x+((y/7.321)/w))/((x*y)-(7.321*w)))/(((x*y)+(7.321*w))-((x+y)-(7.321-w))))/((((x*y)-(7.321*w))*((x+y)+(7.321-w)))*(((x+y)-(7.321-w))+((x+y)/(7.321/w))))))))) -equal((-0000000000000000000.0000000111785995110374964244225966944630),((((((((x/y)*(7.123-w))/(x-((y*7.123)*w)))/((x-((y*7.123)/w))-(x/(y+(7.123*w)))))/(((x-((y*7.123)*w))*(x/(y-(7.123*w))))*((x/(y+(7.123*w)))+((x-y)/(7.123+w)))))/((((x+((y/7.321)*w))+((x*y)+(7.321/w)))+(((x*y)-(7.321*w))*((x+y)+(7.321-w))))+((((x*y)+(7.321/w))/((x+y)*(7.321-w)))/(((x+y)+(7.321-w))-((x-y)/(7.321*w))))))))) 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-equal((-x^(+2.2^+3.3)),(-x^+13.48946876053338489126547661)) -equal((y*-x^+2.2^+3.3),+y*(-x^+13.48946876053338489126547661)) -equal((-x^+2.2^+3.3*+z),+z*(-x^+13.48946876053338489126547661)) -equal((-x^+2.2^+3.3/+w),(-x^+13.48946876053338489126547661)/+w) -equal((-x^-2^+3),1/(-x^+8)) -equal((-x^(-2^+3)),1/(-x^+8)) -equal((-x^+2^-3),(-x^(+1/+8))) -equal((-x^(+2^-3)),(-x^(+1/+8))) -equal((-x^-2^-3),1/(-x^(+1/+8))) -equal((-x^(-2^-3)),1/(-x^(+1/+8))) -if(abs(x^2^3-x^8 ) < 0.0000001,1,0) -if(abs(-x^2^3--x^8 ) < 0.0000001,1,0) -if(abs(-x^+2^+3--x^+8) < 0.0000001,1,0) -if(abs(+x^+2^+3-x^+8 ) < 0.0000001,1,0) -abs(x^2^3-x^8 ) < 0.0000001 ? 1 : 0 -abs(-x^2^3--x^8 ) < 0.0000001 ? 1 : 0 -abs(-x^+2^+3--x^+8) < 0.0000001 ? 1 : 0 -abs(+x^+2^+3-x^+8 ) < 0.0000001 ? 1 : 0 -equal($f92(x,y,z,w),x and y ? z : w) -equal($f93(x,y,z,w),x or y ? z : w) -equal($f94(x,y,z,w),x < y ? z : w) -equal($f95(x,y,z,w),x <= y ? z : w) -equal($f96(x,y,z,w),x > y ? z : w) -equal($f97(x,y,z,w),x >= y ? z : w) 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-equal(+7,7.0) -equal(+8,8.0) -equal(+9,9.0) -equal(+0.0,0.0) -equal(+1.0,1.0) -equal(+2.0,2.0) -equal(+3.0,3.0) -equal(+4.0,4.0) -equal(+5.0,5.0) -equal(+6.0,6.0) -equal(+7.0,7.0) -equal(+8.0,8.0) -equal(+9.0,9.0) -equal(+0.0,0.0) -equal(+1.1,1.1) -equal(+2.2,2.2) -equal(+3.3,3.3) -equal(+4.4,4.4) -equal(+5.5,5.5) -equal(+6.6,6.6) -equal(+7.7,7.7) -equal(+8.8,8.8) -equal(+9.9,9.9) -equal(-0,-0.0) -equal(-1,-1.0) -equal(-2,-2.0) -equal(-3,-3.0) -equal(-4,-4.0) -equal(-5,-5.0) -equal(-6,-6.0) -equal(-7,-7.0) -equal(-8,-8.0) -equal(-9,-9.0) -equal(-0.0,-0.0) -equal(-1.0,-1.0) -equal(-2.0,-2.0) -equal(-3.0,-3.0) -equal(-4.0,-4.0) -equal(-5.0,-5.0) -equal(-6.0,-6.0) -equal(-7.0,-7.0) -equal(-8.0,-8.0) -equal(-9.0,-9.0) -equal(-0.0,-0.0) -equal(-1.1,-1.1) -equal(-2.2,-2.2) -equal(-3.3,-3.3) -equal(-4.4,-4.4) -equal(-5.5,-5.5) -equal(-6.6,-6.6) -equal(-7.7,-7.7) -equal(-8.8,-8.8) -equal(-9.9,-9.9) -equal(0.0e+0,+0.0e+0) -equal(1.1e+1,+1.1e+1) -equal(2.2e+2,+2.2e+2) -equal(3.3e+3,+3.3e+3) -equal(4.4e+4,+4.4e+4) -equal(5.5e+5,+5.5e+5) -equal(6.6e+6,+6.6e+6) -equal(7.7e+7,+7.7e+7) -equal(8.8e+8,+8.8e+8) -equal(9.9e+9,+9.9e+9) -equal(-0.0e+0,-0.0e+0) -equal(-1.1e+1,-1.1e+1) -equal(-2.2e+2,-2.2e+2) -equal(-3.3e+3,-3.3e+3) -equal(-4.4e+4,-4.4e+4) -equal(-5.5e+5,-5.5e+5) -equal(-6.6e+6,-6.6e+6) -equal(-7.7e+7,-7.7e+7) -equal(-8.8e+8,-8.8e+8) -equal(-9.9e+9,-9.9e+9) -equal(0.0E+0,+0.0E+0) -equal(1.1E+1,+1.1E+1) -equal(2.2E+2,+2.2E+2) -equal(3.3E+3,+3.3E+3) -equal(4.4E+4,+4.4E+4) -equal(5.5E+5,+5.5E+5) -equal(6.6E+6,+6.6E+6) -equal(7.7E+7,+7.7E+7) -equal(8.8E+8,+8.8E+8) -equal(9.9E+9,+9.9E+9) -equal(-0.0E+0,-0.0E+0) -equal(-1.1E+1,-1.1E+1) -equal(-2.2E+2,-2.2E+2) -equal(-3.3E+3,-3.3E+3) -equal(-4.4E+4,-4.4E+4) -equal(-5.5E+5,-5.5E+5) -equal(-6.6E+6,-6.6E+6) -equal(-7.7E+7,-7.7E+7) -equal(-8.8E+8,-8.8E+8) -equal(-9.9E+9,-9.9E+9) -equal((0),0.0) -equal((1),1.0) -equal((2),2.0) -equal((3),3.0) -equal((4),4.0) -equal((5),5.0) -equal((6),6.0) -equal((7),7.0) -equal((8),8.0) -equal((9),9.0) -equal((0.0),0.0) -equal((1.0),1.0) -equal((2.0),2.0) -equal((3.0),3.0) -equal((4.0),4.0) -equal((5.0),5.0) -equal((6.0),6.0) -equal((7.0),7.0) -equal((8.0),8.0) -equal((9.0),9.0) -equal((0.0),0.0) -equal((1.1),1.1) -equal((2.2),2.2) -equal((3.3),3.3) -equal((4.4),4.4) -equal((5.5),5.5) -equal((6.6),6.6) -equal((7.7),7.7) -equal((8.8),8.8) -equal((9.9),9.9) -equal((+0),0.0) -equal((+1),1.0) -equal((+2),2.0) -equal((+3),3.0) -equal((+4),4.0) -equal((+5),5.0) -equal((+6),6.0) -equal((+7),7.0) -equal((+8),8.0) -equal((+9),9.0) -equal((+0.0),0.0) -equal((+1.0),1.0) -equal((+2.0),2.0) -equal((+3.0),3.0) -equal((+4.0),4.0) -equal((+5.0),5.0) -equal((+6.0),6.0) -equal((+7.0),7.0) -equal((+8.0),8.0) -equal((+9.0),9.0) -equal((+0.0),0.0) -equal((+1.1),1.1) -equal((+2.2),2.2) -equal((+3.3),3.3) -equal((+4.4),4.4) -equal((+5.5),5.5) -equal((+6.6),6.6) -equal((+7.7),7.7) -equal((+8.8),8.8) -equal((+9.9),9.9) -equal((-0),-0.0) -equal((-1),-1.0) -equal((-2),-2.0) -equal((-3),-3.0) -equal((-4),-4.0) -equal((-5),-5.0) -equal((-6),-6.0) -equal((-7),-7.0) -equal((-8),-8.0) -equal((-9),-9.0) -equal((-0.0),-0.0) -equal((-1.0),-1.0) -equal((-2.0),-2.0) -equal((-3.0),-3.0) -equal((-4.0),-4.0) -equal((-5.0),-5.0) -equal((-6.0),-6.0) -equal((-7.0),-7.0) -equal((-8.0),-8.0) -equal((-9.0),-9.0) -equal((-0.0),-0.0) -equal((-1.1),-1.1) -equal((-2.2),-2.2) -equal((-3.3),-3.3) -equal((-4.4),-4.4) -equal((-5.5),-5.5) -equal((-6.6),-6.6) -equal((-7.7),-7.7) -equal((-8.8),-8.8) -equal((-9.9),-9.9) -equal(1234567890,1234567890) -equal(123456789.0,123456789.0) -equal(+1234567890,1234567890) -equal(+123456789.0,123456789.0) -equal(-1234567890,-1234567890) -equal(-123456789.0,-123456789.0) -equal(1234.567890,1234.567890) -equal(-1234.567890,-1234.567890) -equal(0+9,9.0) -equal(1+8,9.0) -equal(2+7,9.0) -equal(3+6,9.0) -equal(4+5,9.0) -equal(5+4,9.0) -equal(6+3,9.0) -equal(7+2,9.0) -equal(8+1,9.0) -equal(9+0,9.0) -equal(0+9,9.0) -equal(1+8,9.0) -equal(2+7,9.0) -equal(3+6,9.0) -equal(4+5,9.0) -equal(5+4,9.0) -equal(6+3,9.0) -equal(7+2,9.0) -equal(8+1,9.0) -equal(9+0,9.0) -equal((0+9),9.0) -equal((1+8),9.0) -equal((2+7),9.0) -equal((3+6),9.0) -equal((4+5),9.0) -equal((5+4),9.0) -equal((6+3),9.0) -equal((7+2),9.0) -equal((8+1),9.0) -equal((9+0),9.0) -equal(1+2,+3.0) -equal(1-2,-1.0) -equal(1*2,+2.0) -equal(1/2,+0.5) -equal(1.1+2.2,+3.3) -equal(1.1-2.2,-1.1) -equal(1.1*2.2,+2.42) -equal(1.1/2.2,+0.5) -equal(0-9,-9.0) -equal(1-8,-7.0) -equal(2-7,-5.0) -equal(3-6,-3.0) -equal(4-5,-1.0) -equal(5-4,+1.0) -equal(6-3,+3.0) -equal(7-2,+5.0) -equal(8-1,+7.0) -equal(9-0,+9.0) -equal(0-9,-9.0) -equal(1-8,-7.0) -equal(2-7,-5.0) -equal(3-6,-3.0) -equal(4-5,-1.0) -equal(5-4,+1.0) -equal(6-3,+3.0) -equal(7-2,+5.0) -equal(8-1,+7.0) -equal(9-0,+9.0) -equal((0-9),-9.0) -equal((1-8),-7.0) -equal((2-7),-5.0) -equal((3-6),-3.0) -equal((4-5),-1.0) -equal((5-4),+1.0) -equal((6-3),+3.0) -equal((7-2),+5.0) -equal((8-1),+7.0) -equal((9-0),+9.0) -equal(-(1+2),-3.0) -equal(+(1+2),+3.0) -equal(+(1-2),-1.0) -equal(-(1-2),+1.0) -equal(1.1+2.2+3.3,+6.6) -equal(+1.1+2.2+3.3,+6.6) -equal(-1.1-2.2-3.3,-6.6) -equal(1.1*2.2*3.3,+7.986) -equal(+1.1*2.2*3.3,+7.986) -equal(-1.1*-2.2*-3.3,-7.986) -equal(1+1/2,+1.5) -equal(1+(1/2),+1.5) -equal(1.1+1.1/2.2,+1.6) -equal(1.1+(1.1/2.2),+1.6) -equal(2*1/2,+1.0) -equal(2*(1/2),+1.0) -equal(2.2*1.1/2.2,+1.1) -equal(2.2*(1.1/2.2),+1.1) -equal(1^2,1.0) -equal(2^1,2.0) -equal(2^3,8.0) -equal(-2^3,-8.0) -equal(-2^4,-16.0) -equal((-2)^3,-8.0) -equal((-2)^4,+16.0) -equal(3^2^1,9.0) -equal(1.1^2.2,1.23328630055466251099) -equal(2.2^1.1,2.3804822576003541627) -equal(2.2^3.3,13.48946876053338489126547661) -equal(3.3^2.2^1.1,17.15193942371376191362) -equal(1.1^(1.1*2.2),1.25941916576299080582) -equal(2.2^(1.1*3.3),17.49823848953534759743) -equal(3.3^(1.1*2.2),17.98058156638874965269) -equal((48.0/2.0*(9.0+3.0)),288.0) -equal((48.0/2.0(9.0+3.0)),288.0) -equal((6.0/2.0(1.0+2.0)),9.0) -equal(1 , 1^2 ) -equal(121 , 11^2 ) -equal(12321 , 111^2 ) -equal(1234321 , 1111^2 ) -equal(123454321 , 11111^2 ) -equal(12345654321 , 111111^2 ) -equal(1234567654321 , 1111111^2 ) -equal(123456787654321, 11111111^2) -equal(1<2,1.0) -equal(1 <= 2,1.0) -equal(1.1 <= 2.2,1.0) -equal((1.0+0.1) <= (2.0+0.2),1.0) -equal(1>2,0.0) -equal(1 >= 2,0.0) -equal(1.1 >= 2.2,0.0) -equal((1.0+0.1) >= (2.0+0.2),0.0) -equal(1<>2,1.0) -equal(1 != 2,1.0) -equal(1.1<>2.2,1.0) -equal(1.1 != 2.2,1.0) -equal((1.0+0.1)<>(2.0+0.2),1.0) -equal((1.0+0.1) != (2.0+0.2),1.0) -equal(1 == 1,1.0) -equal(1.1 == 1.1,1.0) -equal(1=1,1.0) -equal(1.1=1.1,1.0) -equal(1<>1,0.0) -equal(1 != 1,0.0) -equal(1.1<>1.1,0.0) -equal(1.1 != 1.1,0.0) -equal((1.0+0.1)<>(1.0+0.1),0.0) -equal((1.0+0.1) != (1.0+0.1),0.0) -equal(1 < 2 < 3 , true ) -equal(1 <= 2 <= 3, true ) -equal(1 > 2 > 3 , false) -equal(1 >= 2 >= 3, false) -equal(1 < 2 > 3 , false) -equal(1 < 2 >= 3 , false) -equal(1 <= 2 > 3 , false) -equal(1 > 2 < 3 , true ) -equal(1 > 2 <= 3 , true ) -equal(1 >= 2 < 3 , true ) -equal((1 and 1),1.0) -equal((1 and 0),0.0) -equal((0 and 1),0.0) -equal((0 and 0),0.0) -equal((1.0 and 1.0),1.0) -equal((1.0 and 0.0),0.0) -equal((0.0 and 1.0),0.0) -equal((0.0 and 0.0),0.0) -equal(((1 and 1)),1.0) -equal(((1 and 0)),0.0) -equal(((0 and 1)),0.0) -equal(((0 and 0)),0.0) -equal(((1.0 and 1.0)),1.0) -equal(((1.0 and 0.0)),0.0) -equal(((0.0 and 1.0)),0.0) -equal(((0.0 and 0.0)),0.0) -equal((1 or 1),1.0) -equal((1 or 0),1.0) -equal((0 or 1),1.0) -equal((0 or 0),0.0) -equal((1.0 or 1.0),1.0) -equal((1.0 or 0.0),1.0) -equal((0.0 or 1.0),1.0) -equal((0.0 or 0.0),0.0) -equal(((1 or 1)),1.0) -equal(((1 or 0)),1.0) -equal(((0 or 1)),1.0) -equal(((0 or 0)),0.0) -equal(((1.0 or 1.0)),1.0) -equal(((1.0 or 0.0)),1.0) -equal(((0.0 or 1.0)),1.0) -equal(((0.0 or 0.0)),0.0) -equal(mand(1,1),1.0) -equal(mand(1,0),0.0) -equal(mand(0,1),0.0) -equal(mand(0,0),0.0) -equal(mand(1.0,1.0),1.0) -equal(mand(1.0,0.0),0.0) -equal(mand(0.0,1.0),0.0) -equal(mand(0.0,0.0),0.0) -equal(mor(1,1),1.0) -equal(mor(1,0),1.0) -equal(mor(0,1),1.0) -equal(mor(0,0),0.0) -equal(mor(1.0,1.0),1.0) -equal(mor(1.0,0.0),1.0) -equal(mor(0.0,1.0),1.0) -equal(mor(0.0,0.0),0.0) -equal((1 nand 1),not(mand(1,1))) -equal((1 nand 0),not(mand(1,0))) -equal((0 nand 1),not(mand(0,1))) -equal((0 nand 0),not(mand(0,0))) -equal((1 nor 1),not(mor(1,1))) -equal((1 nor 0),not(mor(1,0))) -equal((0 nor 1),not(mor(0,1))) -equal((0 nor 0),not(mor(0,0))) -equal((1.0 nand 1.0),not(mand(1.0,1.0))) -equal((1.0 nand 0.0),not(mand(1.0,0.0))) -equal((0.0 nand 1.0),not(mand(0.0,1.0))) -equal((0.0 nand 0.0),not(mand(0.0,0.0))) -equal((1.0 nor 1.0),not(mor(1.0,1.0))) -equal((1.0 nor 0.0),not(mor(1.0,0.0))) -equal((0.0 nor 1.0),not(mor(0.0,1.0))) -equal((0.0 nor 0.0),not(mor(0.0,0.0))) -equal((1 nand 1),0.0) -equal((1 nand 0),1.0) -equal((0 nand 1),1.0) -equal((0 nand 0),1.0) -equal((1.0 nand 1.0),0.0) -equal((1.0 nand 0.0),1.0) -equal((0.0 nand 1.0),1.0) -equal((0.0 nand 0.0),1.0) -equal(((1 nand 1)),0.0) -equal(((1 nand 0)),1.0) -equal(((0 nand 1)),1.0) -equal(((0 nand 0)),1.0) -equal(((1.0 nand 1.0)),0.0) -equal(((1.0 nand 0.0)),1.0) -equal(((0.0 nand 1.0)),1.0) -equal(((0.0 nand 0.0)),1.0) -equal((1 nor 1),0.0) -equal((1 nor 0),0.0) -equal((0 nor 1),0.0) -equal((0 nor 0),1.0) -equal((1.0 nor 1.0),0.0) -equal((1.0 nor 0.0),0.0) -equal((0.0 nor 1.0),0.0) -equal((0.0 nor 0.0),1.0) -equal(((1 nor 1)),0.0) -equal(((1 nor 0)),0.0) -equal(((0 nor 1)),0.0) -equal(((0 nor 0)),1.0) -equal(((1.0 nor 1.0)),0.0) -equal(((1.0 nor 0.0)),0.0) -equal(((0.0 nor 1.0)),0.0) -equal(((0.0 nor 0.0)),1.0) -equal((0 xor 0),0.0) -equal((0 xor 1),1.0) -equal((1 xor 0),1.0) -equal((1 xor 1),0.0) -equal((0.0 xor 0.0),0.0) -equal((0.0 xor 1.0),1.0) -equal((1.0 xor 0.0),1.0) -equal((1.0 xor 1.0),0.0) -equal(((0 xor 0)),0.0) -equal(((0 xor 1)),1.0) -equal(((1 xor 0)),1.0) -equal(((1 xor 1)),0.0) -equal(((0.0 xor 0.0)),0.0) -equal(((0.0 xor 1.0)),1.0) -equal(((1.0 xor 0.0)),1.0) -equal(((1.0 xor 1.0)),0.0) -equal((0 xnor 0),1.0) -equal((0 xnor 1),0.0) -equal((1 xnor 0),0.0) -equal((1 xnor 1),1.0) -equal((0.0 xnor 0.0),1.0) -equal((0.0 xnor 1.0),0.0) -equal((1.0 xnor 0.0),0.0) -equal((1.0 xnor 1.0),1.0) -equal(((0 xnor 0)),1.0) -equal(((0 xnor 1)),0.0) -equal(((1 xnor 0)),0.0) -equal(((1 xnor 1)),1.0) -equal(((0.0 xnor 0.0)),1.0) -equal(((0.0 xnor 1.0)),0.0) -equal(((1.0 xnor 0.0)),0.0) -equal(((1.0 xnor 1.0)),1.0) -equal((1 & 1),1.0) -equal((1 & 0),0.0) -equal((0 & 1),0.0) -equal((0 & 0),0.0) -equal((1.0 & 1.0),1.0) -equal((1.0 & 0.0),0.0) -equal((0.0 & 1.0),0.0) -equal((0.0 & 0.0),0.0) -equal(((1 & 1)),1.0) -equal(((1 & 0)),0.0) -equal(((0 & 1)),0.0) -equal(((0 & 0)),0.0) -equal(((1.0 & 1.0)),1.0) -equal(((1.0 & 0.0)),0.0) -equal(((0.0 & 1.0)),0.0) -equal(((0.0 & 0.0)),0.0) -equal((1 | 1),1.0) -equal((1 | 0),1.0) -equal((0 | 1),1.0) -equal((0 | 0),0.0) -equal((1.0 | 1.0),1.0) -equal((1.0 | 0.0),1.0) -equal((0.0 | 1.0),1.0) -equal((0.0 | 0.0),0.0) -equal(((1 | 1)),1.0) -equal(((1 | 0)),1.0) -equal(((0 | 1)),1.0) -equal(((0 | 0)),0.0) -equal(((1.0 | 1.0)),1.0) -equal(((1.0 | 0.0)),1.0) -equal(((0.0 | 1.0)),1.0) -equal(((0.0 | 0.0)),0.0) -equal(((1 nand 1) == not(1 and 1)),1.0) -equal(((1 nand 0) == not(1 and 0)),1.0) -equal(((0 nand 1) == not(0 and 1)),1.0) -equal(((0 nand 0) == not(0 and 0)),1.0) -equal(((1 nor 1) == not(1 or 1)),1.0) -equal(((1 nor 0) == not(1 or 0)),1.0) -equal(((0 nor 1) == not(0 or 1)),1.0) -equal(((0 nor 0) == not(0 or 0)),1.0) -equal(((1.0 nand 1.0) == not(1.0 and 1.0)),1.0) -equal(((1.0 nand 0.0) == not(1.0 and 0.0)),1.0) -equal(((0.0 nand 1.0) == not(0.0 and 1.0)),1.0) -equal(((0.0 nand 0.0) == not(0.0 and 0.0)),1.0) -equal(((1.0 nor 1.0) == not(1.0 or 1.0)),1.0) -equal(((1.0 nor 0.0) == not(1.0 or 0.0)),1.0) -equal(((0.0 nor 1.0) == not(0.0 or 1.0)),1.0) -equal(((0.0 nor 0.0) == not(0.0 or 0.0)),1.0) -equal(((1 nand 1) == not(1 & 1)),1.0) -equal(((1 nand 0) == not(1 & 0)),1.0) -equal(((0 nand 1) == not(0 & 1)),1.0) -equal(((0 nand 0) == not(0 & 0)),1.0) -equal(((1 nor 1) == not(1 | 1)),1.0) -equal(((1 nor 0) == not(1 | 0)),1.0) -equal(((0 nor 1) == not(0 | 1)),1.0) -equal(((0 nor 0) == not(0 | 0)),1.0) -equal(((1.0 nand 1.0) == not(1.0 & 1.0)),1.0) -equal(((1.0 nand 0.0) == not(1.0 & 0.0)),1.0) -equal(((0.0 nand 1.0) == not(0.0 & 1.0)),1.0) -equal(((0.0 nand 0.0) == not(0.0 & 0.0)),1.0) -equal(((1.0 nor 1.0) == not(1.0 | 1.0)),1.0) -equal(((1.0 nor 0.0) == not(1.0 | 0.0)),1.0) -equal(((0.0 nor 1.0) == not(0.0 | 1.0)),1.0) -equal(((0.0 nor 0.0) == not(0.0 | 0.0)),1.0) -equal(abs(1),1.0) -equal(abs(-1),1.0) -equal(abs(1.0),1.0) -equal(abs(-1.0),1.0) -equal(min(1,2),1.0) -equal(min(1,2,3),1.0) -equal(min(1,2,3,4),1.0) -equal(min(1,2,3,4,5),1.0) -equal(min(1,2,3,4,5,6),1.0) -equal(min(1.1,2.2),1.1) -equal(min(1.1,2.2,3.3),1.1) -equal(min(1.1,2.2,3.3,4.4),1.1) -equal(min(1.1,2.2,3.3,4.4,5.5),1.1) -equal(min(1.1,2.2,3.3,4.4,5.5,6.6),1.1) -equal(min(min(1,2),min(3,4)),1.0) -equal(max(1,2),2.0) -equal(max(1,2,3),3.0) -equal(max(1,2,3,4),4.0) -equal(max(1,2,3,4,5),5.0) -equal(max(1,2,3,4,5,6),6.0) -equal(max(1.1,2.2),2.2) -equal(max(1.1,2.2,3.3),3.3) -equal(max(1.1,2.2,3.3,4.4),4.4) -equal(max(1.1,2.2,3.3,4.4,5.5),5.5) -equal(max(1.1,2.2,3.3,4.4,5.5,6.6),6.6) -equal(max(max(1,2),max(3,4)),4.0) -equal(avg(1,2),1.5) -equal(avg(1,2,3),2.0) -equal(avg(1,2,3,4),2.5) -equal(avg(1,2,3,4,5),3.0) -equal(avg(1.1,2.2),1.65) -equal(avg(1.1,2.2,3.3),2.2) -equal(avg(1.1,2.2,3.3,4.4),2.75) -equal(avg(1.1,2.2,3.3,4.4,5.5),3.3) -equal(avg(1.1,2.2,3.3,4.4,5.5,6.6),3.85) -equal(sum(1,2),3.0) -equal(sum(1,2,3),6.0) -equal(sum(1,2,3,4),10) -equal(sum(1,2,3,4,5),15.0) -equal(sum(1,2,3,4,5,6),21) -equal(sum(1.1,2.2),3.3) -equal(sum(1.1,2.2,3.3),6.6) -equal(sum(1.1,2.2,3.3,4.4),11.0) -equal(sum(1.1,2.2,3.3,4.4,5.5),16.5) -equal(sum(1.1,2.2,3.3,4.4,5.5,6.6),23.1) -equal(mul(1,2),2.0) -equal(mul(1,2,3),6.0) -equal(mul(1,2,3,4),24.0) -equal(mul(1,2,3,4,5),120.0) -equal(mul(1,2,3,4,5,6),720.0) -equal(mul(1.1,2.2),2.42) -equal(mul(1.1,2.2,3.3),7.986) -equal(mul(1.1,2.2,3.3,4.4),35.1384) -equal(mul(1.1,2.2,3.3,4.4,5.5),193.2612) -equal(mul(1.1,2.2,3.3,4.4,5.5,6.6),1275.52392) -equal(floor(1.0),1.0) -equal(floor(1.1),1.0) -equal(floor(-1.0),-1.0) -equal(floor(-1.1),-2.0) -equal(ceil(1.0),1.0) -equal(ceil(1.1),2.0) -equal(ceil(-1.0),-1.0) -equal(ceil(-1.1),-1.0) -equal(round(1.1),1.0) -equal(round(1.49),1.0) -equal(round(1.5),2.0) -equal(round(1.9),2.0) -equal(roundn(1/3,2),0.33) -equal(roundn(1/3,5),0.33333) -equal(roundn(2/3,2),0.67) -equal(roundn(2/3,5),0.66667) -equal(roundn(1.0/3.0,2.0),0.33) -equal(roundn(1.0/3.0,5.0),0.33333) -equal(roundn(2.0/3.0,2.0),0.67) -equal(roundn(2.0/3.0,5.0),0.66667) -equal(ncdf(-0.990000),0.1610870595108309277379712621081176231308) -equal(ncdf(-0.900000),0.1840601253467595049243684952878384531272) -equal(ncdf(-0.800000),0.2118553985833967014177399671192506819293) -equal(ncdf(-0.700000),0.2419636522230730296909074158549773979271) -equal(ncdf(-0.600000),0.2742531177500735939615205374320895958397) -equal(ncdf(-0.500000),0.3085375387259869083955514331815230141801) -equal(ncdf(-0.400000),0.3445782583896758433328161777533314765094) -equal(ncdf(-0.300000),0.3820885778110473705147534294340368642265) -equal(ncdf(-0.200000),0.4207402905608969823037481130294255615365) -equal(ncdf(-0.100000),0.4601721627229710212480870424851302760048) -equal(ncdf(-0.000001),0.4999996010577195986338397110517782797870) -equal(ncdf(-0.000010),0.4999960105771960521638733757569051934291) -equal(ncdf(-0.000100),0.4999601057720263471149002683509882991781) -equal(ncdf(-0.001000),0.4996010577860889374426805948629660342895) -equal(ncdf(-0.010000),0.4960106436853683965709056763944963944711) -equal(ncdf(-0.000000),0.5000000000000000000000000000000000000000) -equal(ncdf(+0.000000),0.5000000000000000000000000000000000000000) -equal(ncdf(+0.000001),0.5000003989422804013661602889482217202129) -equal(ncdf(+0.000010),0.5000039894228039478361266242430948065708) -equal(ncdf(+0.000100),0.5000398942279736528850997316490117008218) -equal(ncdf(+0.001000),0.5003989422139110625573194051370339657104) -equal(ncdf(+0.010000),0.5039893563146316034290943236055036055288) -equal(ncdf(+0.100000),0.5398278372770289787519129575148697239951) -equal(ncdf(+0.200000),0.5792597094391030176962518869705744384634) -equal(ncdf(+0.300000),0.6179114221889526294852465705659631357734) -equal(ncdf(+0.400000),0.6554217416103241566671838222466685234905) -equal(ncdf(+0.500000),0.6914624612740130916044485668184769858198) -equal(ncdf(+0.600000),0.7257468822499264060384794625679104041602) -equal(ncdf(+0.700000),0.7580363477769269703090925841450226020728) -equal(ncdf(+0.800000),0.7881446014166032985822600328807493180706) -equal(ncdf(+0.900000),0.8159398746532404950756315047121615468727) -equal(ncdf(+0.990000),0.8389129404891690722620287378918823768691) -equal(ncdf(-inf),0) -equal(ncdf(+inf),1) -equal(1 - ncdf(+0.000001), ncdf(-0.000001)) -equal(1 - ncdf(+0.000010), ncdf(-0.000010)) -equal(1 - ncdf(+0.000100), ncdf(-0.000100)) -equal(1 - ncdf(+0.001000), ncdf(-0.001000)) -equal(1 - ncdf(+0.010000), ncdf(-0.010000)) -equal(1 - ncdf(+0.100000), ncdf(-0.100000)) -equal(1 - ncdf(+0.200000), ncdf(-0.200000)) -equal(1 - ncdf(+0.300000), ncdf(-0.300000)) -equal(1 - ncdf(+0.400000), ncdf(-0.400000)) -equal(1 - ncdf(+0.500000), ncdf(-0.500000)) -equal(1 - ncdf(+0.600000), ncdf(-0.600000)) -equal(1 - ncdf(+0.700000), ncdf(-0.700000)) -equal(1 - ncdf(+0.800000), ncdf(-0.800000)) -equal(1 - ncdf(+0.900000), ncdf(-0.900000)) -equal(1 - ncdf(+0.990000), ncdf(-0.990000)) -equal(1 - ncdf(-0.000001), ncdf(+0.000001)) -equal(1 - ncdf(-0.000010), ncdf(+0.000010)) -equal(1 - ncdf(-0.000100), ncdf(+0.000100)) -equal(1 - ncdf(-0.001000), ncdf(+0.001000)) -equal(1 - ncdf(-0.010000), ncdf(+0.010000)) -equal(1 - ncdf(-0.100000), ncdf(+0.100000)) -equal(1 - ncdf(-0.200000), ncdf(+0.200000)) -equal(1 - ncdf(-0.300000), ncdf(+0.300000)) -equal(1 - ncdf(-0.400000), ncdf(+0.400000)) -equal(1 - ncdf(-0.500000), ncdf(+0.500000)) -equal(1 - ncdf(-0.600000), ncdf(+0.600000)) -equal(1 - ncdf(-0.700000), ncdf(+0.700000)) -equal(1 - ncdf(-0.800000), ncdf(+0.800000)) -equal(1 - ncdf(-0.900000), ncdf(+0.900000)) -equal(1 - ncdf(-0.990000), ncdf(+0.990000)) -equal(cos(0.0),1.0) -equal(sin(0.0),0.0) -equal((sin(pi/4.0)-cos(pi/4.0)) <= epsilon,1.0) -equal((cos(pi/3.0)-sin(pi/6.0)) <= epsilon,1.0) -equal(sin(deg2rad(30)),0.5) -equal(cos(deg2rad(60)),0.5) -equal(sin(deg2rad(30))+cos(deg2rad(60)),1.0) -equal(sinh(pi),11.5487393572577483779773343153884) -equal(asinh(11.5487393572577483779773343153884),pi) -equal(cosh(pi),11.5919532755215206277517520525601) -equal(acosh(11.5919532755215206277517520525601),pi) -equal(tanh(pi),0.99627207622074994426469058001253) -equal(atanh(0.99627207622074994426469058001253),pi) -equal(cos(pi / 6), sqrt(3) / 2) -equal(sin(pi / 6), 1 / 2) -equal(tan(pi / 6), sin(pi / 6) / cos(pi / 6)) -equal(sinc(pi / 6), sin(pi / 6) / (pi / 6)) -equal(sec(pi / 6), 1 / cos(pi / 6)) -equal(csc(pi / 6), 1 / sin(pi / 6)) -equal(cot(pi / 6), 1 / tan(pi / 6)) -equal(acos(sqrt(3) / 2), pi / 6) -equal(asin(1 / 2), pi / 6) -equal(atan(sin(pi / 6) / cos(pi / 6)), pi / 6) -equal(sin( 0.0000000) , 0.00000000000000000000000000000000) -equal(sin(-0.0000000) , -0.00000000000000000000000000000000) -equal(sin(+0.0000000) , 0.00000000000000000000000000000000) -equal(sin(+0.0000001) , 9.9999999999999833333333333333e-08) -equal(sin(-0.0000001) , -9.9999999999999833333333333333e-08) -equal(sin(+0.1111111) , 0.11088261746735843892606415300372) -equal(sin(-0.1111111) , -0.11088261746735843892606415300372) -equal(sin(+0.2222222) , 0.22039772178034255187094294812849) -equal(sin(-0.2222222) , -0.22039772178034255187094294812849) -equal(sin(+0.3333333) , 0.32719466529758718524059621864116) -equal(sin(-0.3333333) , -0.32719466529758718524059621864116) -equal(sin(+0.5000000) , 0.47942553860420300027328793521557) -equal(sin(-0.5000000) , -0.47942553860420300027328793521557) -equal(sin(+1.0000000) , 0.84147098480789650665250232163029) -equal(sin(-1.0000000) , -0.84147098480789650665250232163029) -equal(sin(+10.000000) , -0.54402111088936981340474766185137) -equal(sin(-10.000000) , 0.54402111088936981340474766185137) -equal(sin(+100.00000) , -0.50636564110975879365655761045978) -equal(sin(-100.00000) , 0.50636564110975879365655761045978) -equal(sin(+1000.0000) , 0.82687954053200256025588742910921) -equal(sin(-1000.0000) , -0.82687954053200256025588742910921) -equal(sin(+10000.000) , -0.30561438888825214136091003523250) -equal(sin(-10000.000) , 0.30561438888825214136091003523250) -equal(sin(+100000.00) , 0.03574879797201650931647050069580) -equal(sin(-100000.00) , -0.03574879797201650931647050069580) -equal(sin(+11.000000) , -0.99999020655070345705156489902552) -equal(sin(-11.000000) , 0.99999020655070345705156489902552) -equal(sin(+101.00000) , 0.45202578717835057687026695835612) -equal(sin(-101.00000) , -0.45202578717835057687026695835612) -equal(sin(+1001.0000) , 0.91999059758632188731830401501769) -equal(sin(-1001.0000) , -0.91999059758632188731830401501769) -equal(sin(+10001.000) , -0.96633527444184359815233954152297) -equal(sin(-10001.000) , 0.96633527444184359815233954152297) -equal(sin(+100001.00) , -0.82161796483715245945804970149913) -equal(sin(-100001.00) , 0.82161796483715245945804970149913) -equal(sin(+1000001.0) , 0.59914743901419226098639170421296) -equal(sin(-1000001.0) , -0.59914743901419226098639170421296) -equal(sin(+6.59705e7) , 0.88594304650309427689183541614980) -equal(sin(-6.59705e7) , -0.88594304650309427689183541614980) -equal(cos( 0.0000000) , 1.00000000000000000000000000000000) -equal(cos(-0.0000000) , 1.00000000000000000000000000000000) -equal(cos(+0.0000000) , 1.00000000000000000000000000000000) -equal(cos(+0.0000001) , 0.99999999999999500000000000000416) -equal(cos(-0.0000001) , 0.99999999999999500000000000000416) -equal(cos(+0.1111111) , 0.99383350977092106562133611584431) -equal(cos(-0.1111111) , 0.99383350977092106562133611584431) -equal(cos(+0.2222222) , 0.97541009028717491442252552794941) -equal(cos(-0.2222222) , 0.97541009028717491442252552794941) -equal(cos(+0.3333333) , 0.94495695722122703261727550776834) -equal(cos(-0.3333333) , 0.94495695722122703261727550776834) -equal(cos(+0.5000000) , 0.87758256189037271611628158260382) -equal(cos(-0.5000000) , 0.87758256189037271611628158260382) -equal(cos(+1.0000000) , 0.54030230586813971740093660744297) -equal(cos(-1.0000000) , 0.54030230586813971740093660744297) -equal(cos(+10.000000) , -0.83907152907645245225886394782406) -equal(cos(-10.000000) , -0.83907152907645245225886394782406) -equal(cos(+100.00000) , 0.86231887228768393410193851395084) -equal(cos(-100.00000) , 0.86231887228768393410193851395084) -equal(cos(+1000.0000) , 0.56237907629070299107824922660539) -equal(cos(-1000.0000) , 0.56237907629070299107824922660539) -equal(cos(+10000.000) , -0.95215536825901485124038676066330) -equal(cos(-10000.000) , -0.95215536825901485124038676066330) -equal(cos(+100000.00) , -0.99936080743821245189113541414480) -equal(cos(-100000.00) , -0.99936080743821245189113541414480) -equal(cos(+11.000000) , 0.00442569798805078574835502472394) -equal(cos(-11.000000) , 0.00442569798805078574835502472394) -equal(cos(+101.00000) , 0.89200486978816013144633509922382) -equal(cos(-101.00000) , 0.89200486978816013144633509922382) -equal(cos(+1001.0000) , -0.39194042959710388157408880043527) -equal(cos(-1001.0000) , -0.39194042959710388157408880043527) -equal(cos(+10001.000) , -0.25728610022581246087994866043260) -equal(cos(-10001.000) , -0.25728610022581246087994866043260) -equal(cos(+100001.00) , -0.57003852488832340734485745499676) -equal(cos(-100001.00) , -0.57003852488832340734485745499676) -equal(cos(+1000001.0) , 0.80063871148148636427894194956147) -equal(cos(-1000001.0) , 0.80063871148148636427894194956147) -equal(cos(+6.59705e7) , 0.46379404734517252270630364073902) -equal(cos(-6.59705e7) , 0.46379404734517252270630364073902) -equal(tan( 0.0000000) , 0.00000000000000000000000000000000) -equal(tan(-0.0000000) , -0.00000000000000000000000000000000) -equal(tan(+0.0000000) , 0.00000000000000000000000000000000) -equal(tan(+0.0000001) , 1.0000000000000033333333333333e-07) -equal(tan(-0.0000001) , -1.0000000000000033333333333333e-07) -equal(tan(+0.1111111) , 0.11157061658437831994735619512715) -equal(tan(-0.1111111) , -0.11157061658437831994735619512715) -equal(tan(+0.2222222) , 0.22595390797675084300623168305408) -equal(tan(-0.2222222) , -0.22595390797675084300623168305408) -equal(tan(+0.3333333) , 0.34625351218085857026767751219494) -equal(tan(-0.3333333) , -0.34625351218085857026767751219494) -equal(tan(+0.5000000) , 0.54630248984379051325517946578028) -equal(tan(-0.5000000) , -0.54630248984379051325517946578028) -equal(tan(+1.0000000) , 1.55740772465490223050697480745836) -equal(tan(-1.0000000) , -1.55740772465490223050697480745836) -equal(tan(+10.000000) , 0.64836082745908667125912493300980) -equal(tan(-10.000000) , -0.64836082745908667125912493300980) -equal(tan(+100.00000) , -0.58721391515692907667780963564458) -equal(tan(-100.00000) , 0.58721391515692907667780963564458) -equal(tan(+1000.0000) , 1.47032415570271844598020880490391) -equal(tan(-1000.0000) , -1.47032415570271844598020880490391) -equal(tan(+10000.000) , 0.32097113462381472460896162480876) -equal(tan(-10000.000) , -0.32097113462381472460896162480876) -equal(tan(+100000.00) , -0.03577166295289877341133054456893) -equal(tan(-100000.00) , 0.03577166295289877341133054456893) -equal(tan(+11.000000) ,-225.9508464541951420257954832034531) -equal(tan(-11.000000) ,225.95084645419514202579548320345315) -equal(tan(+101.00000) , 0.50675260022481825810112489251073) -equal(tan(-101.00000) , -0.50675260022481825810112489251073) -equal(tan(+1001.0000) , -2.34727149360944585631377905107921) -equal(tan(-1001.0000) , 2.34727149360944585631377905107921) -equal(tan(+10001.000) , 3.75587827556062873968883678263090) -equal(tan(-10001.000) , -3.75587827556062873968883678263090) -equal(tan(+100001.00) , 1.44133760959071342162856217662027) -equal(tan(-100001.00) , -1.44133760959071342162856217662027) -equal(tan(+1000001.0) , 0.74833683460738670083524000191867) -equal(tan(-1000001.0) , -0.74833683460738670083524000191867) -equal(tan(+6.59705e7) , 1.91020788553532900811064484878671) -equal(tan(-6.59705e7) , -1.91020788553532900811064484878671) -equal(asinh( 0.0000000), 0.00000000000000000000000000000000) -equal(asinh(-0.0000000), -0.00000000000000000000000000000000) -equal(asinh(+0.0000000), 0.00000000000000000000000000000000) -equal(asinh(+0.0000001), 9.9999999999999833333333333334e-08) -equal(asinh(-0.0000001), -9.9999999999999833333333333334e-08) -equal(asinh(+0.1111111), 0.11088373725813285342159851430941) -equal(asinh(-0.1111111), -0.11088373725813285342159851430941) -equal(asinh(+0.2222222), 0.22043269928675586824059921818377) -equal(asinh(-0.2222222), -0.22043269928675586824059921818377) -equal(asinh(+0.3333333), 0.32745011861448168352486262090439) -equal(asinh(-0.3333333), -0.32745011861448168352486262090439) -equal(asinh(+0.5000000), 0.48121182505960344749775891342436) -equal(asinh(-0.5000000), -0.48121182505960344749775891342436) -equal(asinh(+1.0000000), 0.88137358701954302523260932497979) -equal(asinh(-1.0000000), -0.88137358701954302523260932497979) -equal(asinh(+10.000000), 2.99822295029796973884659553759645) -equal(asinh(-10.000000), -2.99822295029796973884659553759645) -equal(asinh(+100.00000), 5.29834236561058875736882568911290) -equal(asinh(-100.00000), -5.29834236561058875736882568911290) -equal(asinh(+1000.0000), 7.60090270954198861152328978466493) -equal(asinh(-1000.0000), -7.60090270954198861152328978466493) -equal(asinh(+10000.000), 9.90348755503612803611419799227896) -equal(asinh(-10000.000), -9.90348755503612803611419799227896) -equal(asinh(+100000.00), 12.20607264555517372950625189488004) -equal(asinh(-100000.00),-12.20607264555517372950625189488004) -equal(asinh(+11.000000), 3.09310219505082708421994319002050) -equal(asinh(-11.000000), -3.09310219505082708421994319002050) -equal(asinh(+101.00000), 5.30829220390156992207083163999818) -equal(asinh(-101.00000), -5.30829220390156992207083163999818) -equal(asinh(+1001.0000), 7.60190220937582152000266124669195) -equal(asinh(-1001.0000), -7.60190220937582152000266124669195) -equal(asinh(+10001.000), 9.90358755003596141944328147146616) -equal(asinh(-10001.000), -9.90358755003596141944328147146616) -equal(asinh(+100001.00), 12.20608264550517356284458518571352) -equal(asinh(-100001.00),-12.20608264550517356284458518571352) -equal(asinh(+1000001.0), 14.50865873852396941335851458914727) -equal(asinh(-1000001.0),-14.50865873852396941335851458914727) -equal(asinh(+6.59705e7), 18.69786541093294484591751701590953) -equal(asinh(-6.59705e7),-18.69786541093294484591751701590953) -equal(acosh(+1.0000000), 0.00000000000000000000000000000000) -equal(acosh(+10.000000), 2.99322284612638089791266771377418) -equal(acosh(+100.00000), 5.29829236561048459070166683494324) -equal(acosh(+1000.0000), 7.60090220954198861141912311799822) -equal(acosh(+10000.000), 9.90348755003612803611419788811229) -equal(acosh(+100000.00), 12.20607264550517372950625189487994) -equal(acosh(+11.000000), 3.08896990484460301791647985373629) -equal(acosh(+101.00000), 5.30824318909900144631387498189536) -equal(acosh(+1001.0000), 7.60190171037432351740211390234097) -equal(acosh(+10001.000), 9.90358754503696126946327886766193) -equal(acosh(+100001.00), 12.20608264545517456282958538571092) -equal(acosh(+1000001.0), 14.50865873852346941435851308914927) -equal(acosh(+6.59705e7), 18.69786541093294473103063236289588) -equal(atanh( 0.0000000), 0.00000000000000000000000000000000) -equal(atanh(-0.0000000), -0.00000000000000000000000000000000) -equal(atanh(+0.0000000), 0.00000000000000000000000000000000) -equal(atanh(+0.0000001), 1.0000000000000033333333333333e-07) -equal(atanh(-0.0000001), -1.0000000000000033333333333333e-07) -equal(atanh(+0.1111111), 0.11157176440710489194564705296741) -equal(atanh(-0.1111111), -0.11157176440710489194564705296741) -equal(atanh(+0.2222222), 0.22599253849490536429191845874983) -equal(atanh(-0.2222222), -0.22599253849490536429191845874983) -equal(atanh(+0.3333333), 0.34657355277997312345859262322982) -equal(atanh(-0.3333333), -0.34657355277997312345859262322982) -equal(atanh(+0.5000000), 0.54930614433405484569762261846126) -equal(atanh(-0.5000000), -0.54930614433405484569762261846126) -var angle := pi / 6; equal(cos(angle), sqrt(3) / 2) -var angle := pi / 6; equal(sin(angle), 1 / 2) -var angle := pi / 6; equal(tan(angle), sin(angle) / cos(angle)) -var angle := pi / 6; equal(sinc(angle), sin(angle) / angle) -var angle := pi / 6; equal(sec(angle), 1 / cos(angle)) -var angle := pi / 6; equal(csc(angle), 1 / sin(angle)) -var angle := pi / 6; equal(cot(angle), 1 / tan(angle)) -var angle := pi / 6; equal(acos(sqrt(3) / 2), angle) -var angle := pi / 6; equal(asin(1 / 2), angle) -var angle := pi / 6; equal(atan(sin(angle) / cos(angle)), angle) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a + b), sin(a) cos(b) + cos(a) sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a + b), cos(a) cos(b) - sin(a) sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a - b), sin(a) cos(b) - cos(a) sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a - b), cos(a) cos(b) + sin(a) sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a + b), sin(a) * cos(b) + cos(a) * sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a + b), cos(a) * cos(b) - sin(a) * sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a - b), sin(a) * cos(b) - cos(a) * sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a - b), cos(a) * cos(b) + sin(a) * sin(b))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a) + sin(b), +2 * sin((a + b) / 2) cos((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a) + cos(b), +2 * cos((a + b) / 2) cos((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a) - sin(b), 2 * cos((a + b) / 2) sin((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a) - cos(b), -2 * sin((a + b) / 2) sin((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a) + sin(b), +2 * sin((a + b) / 2) * cos((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a) + cos(b), +2 * cos((a + b) / 2) * cos((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(sin(a) - sin(b), 2 * cos((a + b) / 2) * sin((a - b) / 2))}) -equal(true,~{var a := pi / 3; var b := pi / 8; equal(cos(a) - cos(b), -2 * sin((a + b) / 2) * sin((a - b) / 2))}) -equal(rad2deg(pi / 6), 30) -equal(deg2rad(30), pi / 6) -equal(deg2grad(30), 30 * 10 / 9) -equal(grad2deg(30 * 10 / 9), 30) -equal(exp(1.0),2.71828182845904523536028747135266249775724) -equal(exp(0.0),1.0) -equal(log(2.71828182845904523536028747135266249775724),1.0) -equal(log10(10.0),1.0) -equal(log2(1024.0),10.0) -equal(log2(1030.0),10.008428622070580728931192) -equal(frac(12.34)+trunc(12.34),12.34) -equal(hypot(3.0,4.0),5.0) -equal(hypot(1.0,sqrt(3.0)),2.0) -equal(if(1<2,3,4),3.0) -equal(if(1.1<2.2,3.3,4.4),3.3) -equal(if((1.0+1.1)<(2.0+1.2),3.3,4.4),3.3) -equal(if(1=2,3,4),4.0) -equal(if(1.1=2.2,3.3,4.4),4.4) -equal(if((1.0+1.1)=(2.0+1.2),3.3,4.4),4.4) -equal(if(1 == 2,3,4),4.0) -equal(if(1.1 == 2.2,3.3,4.4),4.4) -equal(if((1.0+1.1) == (2.0+1.2),3.3,4.4),4.4) -equal(if(1 >= 2,3,4),4.0) -equal(if(1.1 >= 2.2,3.3,4.4),4.4) -equal(if((1.0+1.1) >= (2.0+1.2),3.3,4.4),4.4) -equal(if(((1.0+2.0) == 3.0) and ((4.0+5.0)<9.0),1,2),2.0) -equal((3.0-1.0-2.0) == ((3.0-1.0)-2.0),1.0) -equal(true == true,1.0) -equal(false == false,1.0) -equal(true != false,1.0) -equal(false != true,1.0) -equal((1<2) == true,1.0) -equal((1>2) == false,1.0) -equal(true == (1<2),1.0) -equal(false == (1>2),1.0) -equal((1>2) != true,1.0) -equal((1<2) != false,1.0) -equal(true != (1>2),1.0) -equal(false != (1<2),1.0) -equal((true and true) == true,1.0) -equal((false and false) == false,1.0) -equal((true or true) == true,1.0) -equal((false or false) == false,1.0) -equal((true and false) == false,1.0) -equal((false and true) == false,1.0) -equal((true or false) == true,1.0) -equal((false or true) == true,1.0) -equal((true & true) == true,1.0) -equal((false & false) == false,1.0) -equal((true | true) == true,1.0) -equal((false | false) == false,1.0) -equal((true & false) == false,1.0) -equal((false & true) == false,1.0) -equal((true | false) == true,1.0) -equal((false | true) == true,1.0) -equal(clamp(-1,1,+1),1.0) -equal(clamp(-1,-1.5,+1.0),-1.0) -equal(clamp(-1,+1.5,+1.0),+1.0) -equal(clamp(-1,-1.5,+1.0)+clamp(-1,+1.5,+1.0),0.0) -equal(inrange(-2,1,+2) == ((-2 <= 1) and (1 <= +2)),1.0) -equal(inrange(-2,1,+2) == if(({-2 <= 1} and [1 <= +2]),1.0,0.0),1.0) -equal(sgn(0),0.0) -equal(sgn(+3),+1.0) -equal(sgn(-3),-1.0) -equal(1+2+3+4+5+6+7+8+9+0,45.0) -equal(1+2+3+4+5+6+7+8+9+0,45.0) -equal(1.0+2.0+3.0+4.0+5.0+6.0+7.0+8.0+9.0+0.0,45.0) -equal((1+2)+(3+4)+(5+6)+(7+8)+(9+0),45.0) -equal((1-2)+(3-4)+(5-6)+(7-8)+(9-0),+5.0) -equal((1+2)-(3+4)-(5+6)-(7+8)-(9+0),-39.0) -equal((1.0+2.0)+(3.0+4.0)+(5.0+6.0)+(7.0+8.0)+(9.0+0.0),45.0) -equal((1.0-2.0)+(3.0-4.0)+(5.0-6.0)+(7.0-8.0)+(9.0-0.0),+5.0) -equal((1.0+2.0)-(3.0+4.0)-(5.0+6.0)-(7.0+8.0)-(9.0+0.0),-39.0) -equal([(1.0+2.0)+[3.0+4.0]+(5.0+6.0)]+([7.0+8.0]+(9.0+0.0)),45.0) -equal(([1.0-2.0]+(3.0-4.0)+[5.0-6.0])+[(7.0-8.0)+[9.0-0.0]],+5.0) -equal(((1.0+2.0))-[(3.0+4.0)]-((5.0+6.0))-[(7.0+8.0)]-((9.0+0.0)),-39.0) -equal({[(1.0+2.0)+[3.0+4.0]+({5.0+6.0})]}+({[7.0+8.0]+(9.0+0.0)}),45.0) -equal({([1.0-2.0]+(3.0-4.0)+[5.0-6.0])}+[({+7.0}-{+8.0})+[{+9.0-0.0}]],+5.0) -equal(((+1.0+2.0))-[({+3.0+4.0})]-(({+5.0+6.0}))-[({+7.0}+8.0)]-(({+9.0}+{0.0})),-39.0) -equal(1+2-3*4/5+6-7*8/9+0,0.37777777777777777778) -equal(1.1+2.2-3.3*4.4/5.5+6.6-7.7*8.8/9.9+0.0,0.41555555555555555556) -equal((1+2)-(3*4)/(5+6)-(7*8)/(9+0),-4.31313131313131313131) -equal(1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9,2.82896825396825396825) -equal((1/1)+(1/2)+(1/3)+(1/4)+(1/5)+(1/6)+(1/7)+(1/8)+(1/9),2.82896825396825396825) -equal(1.0/1.0+1.0/2.0+1.0/3.0+1.0/4.0+1.0/5.0+1.0/6.0+1.0/7.0+1.0/8.0+1.0/9,2.82896825396825396825) -equal((1.0/1.0)+(1.0/2.0)+(1.0/3.0)+(1.0/4.0)+(1.0/5.0)+(1.0/6.0)+(1.0/7.0)+(1.0/8.0)+(1.0/9),2.82896825396825396825) -equal(1/1*1/2*1/3*1/4*1/5*1/6*1/7*1/8*1/9,0.00000275573192239859) -equal((1/1)*(1/2)*(1/3)*(1/4)*(1/5)*(1/6)*(1/7)*(1/8)*(1/9),0.00000275573192239859) -equal(1.0/1.0*1.0/2.0*1.0/3.0*1.0/4.0*1.0/5.0*1.0/6.0*1.0/7.0*1.0/8.0*1.0/9,0.00000275573192239859) -equal((1.0/1.0)*(1.0/2.0)*(1.0/3.0)*(1.0/4.0)*(1.0/5.0)*(1.0/6.0)*(1.0/7.0)*(1.0/8.0)*(1.0/9),0.00000275573192239859) -equal('aaa' == 'aaa',1.0) -equal('aaa' < 'bbb',1.0) -equal('aaa' <= 'bbb',1.0) -equal('bbb' > 'aaa',1.0) -equal('bbb' >= 'aaa',1.0) -equal('aaa' != 'aaa',0.0) -equal('aaa' != 'bbb',1.0) -equal('aaa' + '123'=='aaa123',1.0) -equal('aaa123' == 'aaa'+'123',1.0) -equal(('aaa'+'123') == 'aaa123',1.0) -equal('aaa123' == ('aaa'+'123'),1.0) -equal('aaa' in 'aaa123',1.0) -equal('123' in 'aaa123',1.0) -equal('a123b' like '*123*',1.0) -equal('a123b' like '*123?',1.0) -equal('1XYZ2' ilike '*xyz*',1.0) -equal('1XYZ2' ilike '*xyz?',1.0) -equal(inrange('aaa','bbb','ccc'),1.0) -equal(poly01(x,2.2,1.1),(2.2x^1+1.1)) -equal(poly02(x,3.3,2.2,1.1),(3.3x^2+2.2x^1+1.1)) -equal(poly03(x,4.4,3.3,2.2,1.1),(4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly04(x,5.5,4.4,3.3,2.2,1.1),(5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly05(x,6.6,5.5,4.4,3.3,2.2,1.1),(6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly06(x,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly07(x,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly08(x,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly09(x,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly10(x,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly11(x,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal(poly12(x,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4x^12+3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1)) -equal($f00(1.1234,2.1234,3.1234),(1.1234+2.1234)/3.1234) -equal($f01(1.1234,2.1234,3.1234),(1.1234+2.1234)*3.1234) -equal($f02(1.1234,2.1234,3.1234),(1.1234+2.1234)-3.1234) -equal($f03(1.1234,2.1234,3.1234),(1.1234+2.1234)+3.1234) -equal($f04(1.1234,2.1234,3.1234),(1.1234-2.1234)+3.1234) -equal($f05(1.1234,2.1234,3.1234),(1.1234-2.1234)/3.1234) -equal($f06(1.1234,2.1234,3.1234),(1.1234-2.1234)*3.1234) -equal($f07(1.1234,2.1234,3.1234),(1.1234*2.1234)+3.1234) -equal($f08(1.1234,2.1234,3.1234),(1.1234*2.1234)-3.1234) -equal($f09(1.1234,2.1234,3.1234),(1.1234*2.1234)/3.1234) -equal($f10(1.1234,2.1234,3.1234),(1.1234*2.1234)*3.1234) -equal($f11(1.1234,2.1234,3.1234),(1.1234/2.1234)+3.1234) -equal($f12(1.1234,2.1234,3.1234),(1.1234/2.1234)-3.1234) -equal($f13(1.1234,2.1234,3.1234),(1.1234/2.1234)/3.1234) -equal($f14(1.1234,2.1234,3.1234),(1.1234/2.1234)*3.1234) -equal($f15(1.1234,2.1234,3.1234),1.1234/(2.1234+3.1234)) -equal($f16(1.1234,2.1234,3.1234),1.1234/(2.1234-3.1234)) -equal($f17(1.1234,2.1234,3.1234),1.1234/(2.1234*3.1234)) -equal($f18(1.1234,2.1234,3.1234),1.1234/(2.1234/3.1234)) -equal($f19(1.1234,2.1234,3.1234),1.1234*(2.1234+3.1234)) -equal($f20(1.1234,2.1234,3.1234),1.1234*(2.1234-3.1234)) -equal($f21(1.1234,2.1234,3.1234),1.1234*(2.1234*3.1234)) -equal($f22(1.1234,2.1234,3.1234),1.1234*(2.1234/3.1234)) -equal($f23(1.1234,2.1234,3.1234),1.1234-(2.1234+3.1234)) -equal($f24(1.1234,2.1234,3.1234),1.1234-(2.1234-3.1234)) -equal($f25(1.1234,2.1234,3.1234),1.1234-(2.1234/3.1234)) -equal($f26(1.1234,2.1234,3.1234),1.1234-(2.1234*3.1234)) -equal($f27(1.1234,2.1234,3.1234),1.1234+(2.1234*3.1234)) -equal($f28(1.1234,2.1234,3.1234),1.1234+(2.1234/3.1234)) -equal($f29(1.1234,2.1234,3.1234),1.1234+(2.1234+3.1234)) -equal($f30(1.1234,2.1234,3.1234),1.1234+(2.1234-3.1234)) -equal($f31(1.1234,2.1234,3.1234),1.1234*2.1234^2+3.1234) -equal($f32(1.1234,2.1234,3.1234),1.1234*2.1234^3+3.1234) -equal($f33(1.1234,2.1234,3.1234),1.1234*2.1234^4+3.1234) -equal($f34(1.1234,2.1234,3.1234),1.1234*2.1234^5+3.1234) -equal($f35(1.1234,2.1234,3.1234),1.1234*2.1234^6+3.1234) -equal($f36(1.1234,2.1234,3.1234),1.1234*2.1234^7+3.1234) -equal($f37(1.1234,2.1234,3.1234),1.1234*2.1234^8+3.1234) -equal($f38(1.1234,2.1234,3.1234),1.1234*2.1234^9+3.1234) -equal($f39(1.1234,2.1234,3.1234),1.1234*log(2.1234)+3.1234) -equal($f40(1.1234,2.1234,3.1234),1.1234*log(2.1234)-3.1234) -equal($f41(1.1234,2.1234,3.1234),1.1234*log10(2.1234)+3.1234) -equal($f42(1.1234,2.1234,3.1234),1.1234*log10(2.1234)-3.1234) -equal($f43(1.1234,2.1234,3.1234),1.1234*sin(2.1234)+3.1234) -equal($f44(1.1234,2.1234,3.1234),1.1234*sin(2.1234)-3.1234) -equal($f45(1.1234,2.1234,3.1234),1.1234*cos(2.1234)+3.1234) -equal($f46(1.1234,2.1234,3.1234),1.1234*cos(2.1234)-3.1234) -equal($f47(1.1234,2.1234,3.1234),if(0!=1.1234,2.1234,3.1234)) -equal($f48(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234+3.1234)/4.1234)) -equal($f49(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234+3.1234)*4.1234)) -equal($f50(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234-3.1234)/4.1234)) -equal($f51(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234-3.1234)*4.1234)) -equal($f52(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234*3.1234)/4.1234)) -equal($f53(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234*3.1234)*4.1234)) -equal($f54(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234/3.1234)+4.1234)) -equal($f55(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234/3.1234)/4.1234)) -equal($f56(1.1234,2.1234,3.1234,4.1234),1.1234+((2.1234/3.1234)*4.1234)) -equal($f57(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234+3.1234)/4.1234)) -equal($f58(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234+3.1234)*4.1234)) -equal($f59(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234-3.1234)/4.1234)) -equal($f60(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234-3.1234)*4.1234)) -equal($f61(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234*3.1234)/4.1234)) -equal($f62(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234*3.1234)*4.1234)) -equal($f63(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234/3.1234)/4.1234)) -equal($f64(1.1234,2.1234,3.1234,4.1234),1.1234-((2.1234/3.1234)*4.1234)) -equal($f65(1.1234,2.1234,3.1234,4.1234),((1.1234+2.1234)*3.1234)-4.1234) -equal($f66(1.1234,2.1234,3.1234,4.1234),((1.1234-2.1234)*3.1234)-4.1234) -equal($f67(1.1234,2.1234,3.1234,4.1234),((1.1234*2.1234)*3.1234)-4.1234) -equal($f68(1.1234,2.1234,3.1234,4.1234),((1.1234/2.1234)*3.1234)-4.1234) -equal($f69(1.1234,2.1234,3.1234,4.1234),((1.1234+2.1234)/3.1234)-4.1234) -equal($f70(1.1234,2.1234,3.1234,4.1234),((1.1234-2.1234)/3.1234)-4.1234) -equal($f71(1.1234,2.1234,3.1234,4.1234),((1.1234*2.1234)/3.1234)-4.1234) -equal($f72(1.1234,2.1234,3.1234,4.1234),((1.1234/2.1234)/3.1234)-4.1234) -equal($f73(1.1234,2.1234,3.1234,4.1234),(1.1234*2.1234)+(3.1234*4.1234)) -equal($f74(1.1234,2.1234,3.1234,4.1234),(1.1234*2.1234)-(3.1234*4.1234)) -equal($f75(1.1234,2.1234,3.1234,4.1234),(1.1234*2.1234)+(3.1234/4.1234)) -equal($f76(1.1234,2.1234,3.1234,4.1234),(1.1234*2.1234)-(3.1234/4.1234)) -equal($f77(1.1234,2.1234,3.1234,4.1234),(1.1234/2.1234)+(3.1234/4.1234)) -equal($f78(1.1234,2.1234,3.1234,4.1234),(1.1234/2.1234)-(3.1234/4.1234)) -equal($f79(1.1234,2.1234,3.1234,4.1234),(1.1234/2.1234)-(3.1234*4.1234)) -equal($f80(1.1234,2.1234,3.1234,4.1234),1.1234/(2.1234+(3.1234*4.1234))) -equal($f81(1.1234,2.1234,3.1234,4.1234),1.1234/(2.1234-(3.1234*4.1234))) -equal($f82(1.1234,2.1234,3.1234,4.1234),1.1234*(2.1234+(3.1234*4.1234))) -equal($f83(1.1234,2.1234,3.1234,4.1234),1.1234*(2.1234-(3.1234*4.1234))) -equal($f84(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^2+3.1234*4.1234^2) -equal($f85(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^3+3.1234*4.1234^3) -equal($f86(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^4+3.1234*4.1234^4) -equal($f87(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^5+3.1234*4.1234^5) -equal($f88(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^6+3.1234*4.1234^6) -equal($f89(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^7+3.1234*4.1234^7) -equal($f90(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^8+3.1234*4.1234^8) -equal($f91(1.1234,2.1234,3.1234,4.1234),1.1234*2.1234^9+3.1234*4.1234^9) -equal($f92(1.1234,2.1234,3.1234,4.1234),if(1.1234 and 2.1234,3.1234,4.1234)) -equal($f93(1.1234,2.1234,3.1234,4.1234),if(1.1234 or 2.1234,3.1234,4.1234)) -equal($f94(1.1234,2.1234,3.1234,4.1234),if(1.1234 < 2.1234,3.1234,4.1234)) -equal($f95(1.1234,2.1234,3.1234,4.1234),if(1.1234 <= 2.1234,3.1234,4.1234)) -equal($f96(1.1234,2.1234,3.1234,4.1234),if(1.1234 > 2.1234,3.1234,4.1234)) -equal($f97(1.1234,2.1234,3.1234,4.1234),if(1.1234 >= 2.1234,3.1234,4.1234)) -equal($f98(1.1234,2.1234,3.1234,4.1234),if(equal(1.1234,2.1234),3.1234,4.1234)) -equal($f99(1.1234,2.1234,3.1234,4.1234),1.1234*sin(2.1234)+3.1234*cos(4.1234)) -equal($f92(1.1234,2.1234,3.1234,4.1234),(1.1234 and 2.1234 ? 3.1234 : 4.1234)) -equal($f93(1.1234,2.1234,3.1234,4.1234),(1.1234 or 2.1234 ? 3.1234 : 4.1234)) -equal($f94(1.1234,2.1234,3.1234,4.1234),(1.1234 < 2.1234 ? 3.1234 : 4.1234)) -equal($f95(1.1234,2.1234,3.1234,4.1234),(1.1234 <= 2.1234 ? 3.1234 : 4.1234)) -equal($f96(1.1234,2.1234,3.1234,4.1234),(1.1234 > 2.1234 ? 3.1234 : 4.1234)) -equal($f97(1.1234,2.1234,3.1234,4.1234),(1.1234 >= 2.1234 ? 3.1234 : 4.1234)) -equal($f98(1.1234,2.1234,3.1234,4.1234),(equal(1.1234,2.1234)? 3.1234 : 4.1234)) -equal((pi^2^3),(pi^8)) -equal((pi^(2^3)),(pi^8)) -equal(pi^2^3-pi^8,0) -equal((2*pi^2^3),2*(pi^8)) -equal((pi^2^3*2),2*(pi^8)) -equal((pi^2^3/2),(pi^8)/2) -equal((pi^2.2^3.3),(pi^13.48946876053338489126547661)) -equal((pi^(2.2^3.3)),(pi^13.48946876053338489126547661)) -equal((2.2*pi^2.2^3.3),2.2*(pi^13.48946876053338489126547661)) -equal((pi^2.2^3.3*2),2*(pi^13.48946876053338489126547661)) -equal((pi^2.2^3.3/2.2),(pi^13.48946876053338489126547661)/2.2) -equal((pi^-2^3),1/(pi^8)) -equal((pi^(-2^3)),1/(pi^8)) -equal((pi^2^-3),(pi^(1/8))) -equal((pi^(2^-3)),(pi^(1/8))) -equal((pi^-2^-3),1/(pi^(1/8))) -equal((pi^(-2^-3)),1/(pi^(1/8))) -equal((-pi^2^3),(-pi^8)) -equal((-pi^(2^3)),(-pi^8)) -equal(-pi^2^3--pi^8,0) -equal((2*-pi^2^3),2*(-pi^8)) -equal((-pi^2^3*2),2*(-pi^8)) -equal((-pi^2^3/2),(-pi^8)/2) -equal((-pi^2.2^3.3),(-pi^13.48946876053338489126547661)) -equal((-pi^(2.2^3.3)),(-pi^13.48946876053338489126547661)) -equal((2.2*-pi^2.2^3.3),2.2*(-pi^13.48946876053338489126547661)) -equal((-pi^2.2^3.3*2),2*(-pi^13.48946876053338489126547661)) -equal((-pi^2.2^3.3/2.2),(-pi^13.48946876053338489126547661)/2.2) -equal((-pi^-2^3),1/(-pi^8)) -equal((-pi^(-2^3)),1/(-pi^8)) -equal((-pi^2^-3),(-pi^(1/8))) -equal((-pi^(2^-3)),(-pi^(1/8))) -equal((-pi^-2^-3),1/(-pi^(1/8))) -equal((-pi^(-2^-3)),1/(-pi^(1/8))) -equal((+pi^+2^+3),(+pi^+8)) -equal((+pi^(2^3)),(+pi^+8)) -equal(+pi^+2^+3-+pi^+8,0) -equal((+2*+pi^+2^+3),+2*(+pi^+8)) -equal((+pi^+2^+3*+2),+2*(+pi^+8)) -equal((+pi^+2^+3/+2),(+pi^+8)/+2) -equal((+pi^+2.2^+3.3),(+pi^+13.48946876053338489126547661)) -equal((+pi^(+2.2^+3.3)),(+pi^+13.48946876053338489126547661)) -equal((+2.2*+pi^+2.2^+3.3),+2.2*(+pi^+13.48946876053338489126547661)) -equal((+pi^+2.2^+3.3*+2),+2*(+pi^+13.48946876053338489126547661)) -equal((+pi^+2.2^+3.3/+2.2),(+pi^+13.48946876053338489126547661)/+2.2) -equal((+pi^-2^3),1/(+pi^+8)) -equal((+pi^(-2^3)),1/(+pi^+8)) -equal((+pi^2^-3),(+pi^(+1/+8))) -equal((+pi^(2^-3)),(+pi^(+1/+8))) -equal((+pi^-2^-3),1/(+pi^(+1/+8))) -equal((+pi^(-2^-3)),1/(+pi^(+1/+8))) -equal((-pi^+2^+3),(-pi^+8)) -equal((-pi^(2^3)),(-pi^+8)) -equal(-pi^+2^+3--pi^+8,0) -equal((+2*-pi^+2^+3),2*(-pi^+8)) -equal((-pi^+2^+3*2),2*(-pi^+8)) -equal((-pi^+2^+3/+2),(-pi^+8)/+2) -equal((-pi^+2.2^+3.3),(-pi^+13.48946876053338489126547661)) -equal((-pi^(2.2^3.3)),(-pi^+13.48946876053338489126547661)) -equal((+2.2*-pi^+2.2^+3.3),2.2*(-pi^+13.48946876053338489126547661)) -equal((-pi^+2.2^+3.3*2),2*(-pi^+13.48946876053338489126547661)) -equal((-pi^+2.2^+3.3/+2.2),(-pi^+13.48946876053338489126547661)/+2.2) -equal((-pi^-2^3),1/(-pi^+8)) -equal((-pi^(-2^3)),1/(-pi^+8)) -equal((-pi^2^-3),(-pi^(+1/+8))) -equal((-pi^(2^-3)),(-pi^(+1/+8))) -equal((-pi^-2^-3),1/(-pi^(+1/+8))) -equal((-pi^(-2^-3)),1/(-pi^(+1/+8))) -equal( 1 % 7, 1); -equal( 2 % 7, 2); -equal( 3 % 7, 3); -equal( 4 % 7, 4); -equal( 5 % 7, 5); -equal( 6 % 7, 6); -equal( 7 % 7, 0); -equal( 8 % 7, 1); -equal( 9 % 7, 2); -equal(10 % 7, 3); -equal(11 % 7, 4); -equal(12 % 7, 5); -equal(13 % 7, 6); -equal(14 % 7, 0); -equal(15 % 7, 1); -equal(~{var xx:= 1; xx % 7}, 1); -equal(~{var xx:= 2; xx % 7}, 2); -equal(~{var xx:= 3; xx % 7}, 3); -equal(~{var xx:= 4; xx % 7}, 4); -equal(~{var xx:= 5; xx % 7}, 5); -equal(~{var xx:= 6; xx % 7}, 6); -equal(~{var xx:= 7; xx % 7}, 0); -equal(~{var xx:= 8; xx % 7}, 1); -equal(~{var xx:= 9; xx % 7}, 2); -equal(~{var xx:= 10; xx % 7}, 3); -equal(~{var xx:= 11; xx % 7}, 4); -equal(~{var xx:= 12; xx % 7}, 5); -equal(~{var xx:= 13; xx % 7}, 6); -equal(~{var xx:= 14; xx % 7}, 0); -equal(~{var xx:= 15; xx % 7}, 1); -equal(~{var xx:= 1; xx %= 7; xx}, 1); -equal(~{var xx:= 2; xx %= 7; xx}, 2); -equal(~{var xx:= 3; xx %= 7; xx}, 3); -equal(~{var xx:= 4; xx %= 7; xx}, 4); -equal(~{var xx:= 5; xx %= 7; xx}, 5); -equal(~{var xx:= 6; xx %= 7; xx}, 6); -equal(~{var xx:= 7; xx %= 7; xx}, 0); -equal(~{var xx:= 8; xx %= 7; xx}, 1); -equal(~{var xx:= 9; xx %= 7; xx}, 2); -equal(~{var xx:= 10; xx %= 7; xx}, 3); -equal(~{var xx:= 11; xx %= 7; xx}, 4); -equal(~{var xx:= 12; xx %= 7; xx}, 5); -equal(~{var xx:= 13; xx %= 7; xx}, 6); -equal(~{var xx:= 14; xx %= 7; xx}, 0); -equal(~{var xx:= 15; xx %= 7; xx}, 1); -equal(if(x < y){z+2;z;} == z,true) -equal(if(x > y){z+2;z;} == null,true) -equal(if(x < y){z+2;z;} else w; == z,true) -equal(if(x > y){z+2;z;} else 1 + w; == (w + 1),true) -equal(if(x < y){z+2;z;} else {1+2;w;} == z,true) -equal(if(x > y){z+2;z;} else {1+2;w;} == w,true) -equal(if(x < y){z+2;z;} else if (x < y) w; == z,true) -equal(if(x > y){z+2;z;} else if (x < y) 1 + w; == w + 1,true) -equal(if(x > y){z+2;z;} else if (x > y) w; == null,true) -equal(if(x < y){z+2;z;} else if (x < y) {w+2;w;} == z,true) -equal(if(x > y){z+2;z;} else if (x < y) {w+2;w;} == w,true) -equal(if(x > y){z+2;z;} else if (x > y) {w+2;w;} == null,true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; xx := yy; (xx[0] == 1) and (xx[1] == 2) and (xx[2] == 3) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; xx := (yy + 1); (xx[0] == 2) and (xx[1] == 3) and (xx[2] == 4) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; xx := (1 + yy); (xx[0] == 2) and (xx[1] == 3) and (xx[2] == 4) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; xx := 2*(yy + 1); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 8) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; xx := (yy + 1)*2; (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 8) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := (yy + zz); (xx[0] == 2) and (xx[1] == 4) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := 2 * (yy + zz); (xx[0] == 4) and (xx[1] == 8) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := (yy + zz) * 2; (xx[0] == 4) and (xx[1] == 8) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := ((1 + yy) + (1 + zz)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := ((yy + 1) + (zz + 1)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := ((1 + yy) + (zz + 1)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[4] := {}; var yy[3] := {1,2,3}; var zz[2] := {1,2}; xx := ((yy + 1) + (1 + zz)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{var xx[10^5] := [-3]; xx := abs(xx); sum(xx) == (10^5 * 3)},true) -equal(~{var xx[10^5] := [-3]; xx := abs(xx + 1); sum(xx) == (10^5 * 2)},true) -equal(~{var xx[10^5] := [-3]; xx := abs(1 + xx); sum(xx) == (10^5 * 2)},true) -equal(~{var xx[10^5] := [-3]; xx := abs(xx) + 1; sum(xx) == (10^5 * 4)},true) -equal(~{var xx[10^5] := [-3]; xx := 1 + abs(xx); sum(xx) == (10^5 * 4)},true) -equal(~{var xx[10^5] := [-3]; xx := 2 * abs(xx + 1); sum(xx) == (10^5 * 4)},true) -equal(~{var xx[10^5] := [-3]; xx := abs(1 + xx) * 2; sum(xx) == (10^5 * 4)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs(xx + yy); sum(xx) == (10^5 * 7)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs(xx + yy) + 1; sum(xx) == (10^5 * 8)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := 1 + abs(xx + yy); sum(xx) == (10^5 * 8)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((xx + 1) + (yy + 1)); sum(xx) == (10^5 * 5)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((1 + xx) + (1 + yy)); sum(xx) == (10^5 * 5)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((xx + 1) + (1 + yy)); sum(xx) == (10^5 * 5)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((1 + xx) + (yy + 1)); sum(xx) == (10^5 * 5)},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := 2 * abs((xx + 1) + (yy + 1)); sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := 2 * abs((1 + xx) + (1 + yy)); sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := 2 * abs((xx + 1) + (1 + yy)); sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := 2 * abs((1 + xx) + (yy + 1)); sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((xx + 1) + (yy + 1)) * 2; sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((1 + xx) + (1 + yy)) * 2; sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((xx + 1) + (1 + yy)) * 2; sum(xx) == 10^6},true) -equal(~{var xx[10^5] := [-3]; var yy[10^5] := [-4]; xx := abs((1 + xx) + (yy + 1)) * 2; sum(xx) == 10^6},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v + 1); sum(v) == (2 * sum(v_orig) + v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v - 1); sum(v) == (2 * sum(v_orig) - v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + xx); sum(v) == (2 * sum(v_orig) + v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v - xx); sum(v) == (2 * sum(v_orig) - v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + (v + xx)); sum(v) == (3 * sum(v_orig) + v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + (v - xx)); sum(v) == (3 * sum(v_orig) - v[] * 1)},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v += 1); sum(v) == (2 * sum(v_orig) + 2 * (v[] * 1))},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v += xx); sum(v) == (2 * sum(v_orig) + 2 * (v[] * xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v -= xx); sum(v) == (2 * sum(v_orig) - 2 * (v[] * xx))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[7] := {1,2,3,4,5,6,7}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[6] := {1,2,3,4,5,6}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[5] := {1,2,3,4,5}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[4] := {1,2,3,4}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[3] := {1,2,3}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[2] := {1,2}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[1] := {1}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; sum(v) == (v[] * (v[] + 1) / 2)},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; min(v) == 1},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; max(v) == v[]},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; avg(v) == (min(v) + max(v)) / 2},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; sum(v + 1) == (v[] * (v[] + 1) / 2 + (v[] * 1))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; sum(v - 1) == (v[] * (v[] + 1) / 2 - (v[] * 1))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(v + xx) == (v[] * (v[] + 1) / 2 + (v[] * xx))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(v - xx) == (v[] * (v[] + 1) / 2 - (v[] * xx))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(2v + xx) == (v[] * (v[] + 1) + (v[] * xx))},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(2v - xx) == (v[] * (v[] + 1) - (v[] * xx))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(vv0) == (vv0[] * (vv0[] + 1) / 2)},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (min(vv0) == 1)},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (max(vv0) == vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (avg(vv0) == (min(vv0) + max(vv0)) / 2)},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(vv0 + 1) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1)))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(vv0 - 1) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1)))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(1 + vv0) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1)))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(-1 + vv0) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1)))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(vv0 + xx) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * xx))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(vv0 - xx) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * xx))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(2vv0) == (vv0[] * (vv0[] + 1))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(vv0 * 2) == (vv0[] * (vv0[] + 1))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(2vv0 + 1) == (vv0[] * (vv0[] + 1) + vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(1 + 2vv0) == (vv0[] * (vv0[] + 1) + vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(2vv0 + xx) == (vv0[] * (vv0[] + 1) + xx * vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(xx + 2vv0) == (vv0[] * (vv0[] + 1) + xx * vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; sum(vv0 += 1) == (vv0[] * (vv0[] + 1) / 2 + vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(vv0 += xx) == (vv0[] * (vv0[] + 1) / 2 + xx * vv0[])},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(vv0 -= xx) == (vv0[] * (vv0[] + 1 - 2xx) / 2)},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(2vv0) == 2 * sum(vv0))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (sum(vv0 * 2) == 2 * sum(vv0))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 1; sum(2vv0) == (vv0[] * (vv0[] + 1))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; var xx := 2; sum(if (xx > 1) { vv0 } else { vv1 }) == sum(vv0)},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; dot(2 * vv0,vv1 - 1) + dot(2 * vv0,vv1 - 1) == 2sum(2vv0 * (vv1 - 1))},true) -equal(~{var vv0[4] := {1,2,3,4}; var vv1[4] := {1,2,3,4}; (0 * dot(2 * vv0,vv1 - 1)) == 0},true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 2 * v0; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; v0 * 2; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 2v0 + 3; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 3 + 2v0; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; (2v0 + 3) * (2v0 + 3); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; (3 + 2v0) * (3 + 2v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; v0 + v1; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; (v0 + v1) * (v0 - v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 2v0 + 3v1; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 2v0 - v1 / 3; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; 2(v0 / 3 + v1 / 4); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; abs(v0 - v1) * abs(v1 - v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; abs(2v0 - v1) * abs(v1 - 2v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; abs(2v0 - 3v1) * abs(3v1 - 5v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(2 * v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(v0 * 2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(v0 * v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(2v0 + 3); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(3 + 2v0); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum((2v0 + 3) * (2v0 + 3)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum((3 + 2v0) * (3 + 2v0)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(v0 + v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum((v0 + v1) * (v0 - v1)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(2v0 + 3v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(v0 + v1) + avg(v0 - v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(2v0 + 3v1) + sum(4 / v0 - 5 / v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(abs(v0 - v1) * abs(v1 - v0)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(abs(2v0 - v1) * abs(v1 - 2v0)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; sum(abs(2v0 - 3v1) * abs(3v1 - 5v0)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; axpbz(2,v0,3,v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; axpy(2,v0,v1); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; (2v0 - v1 / v2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 3(2v0 - v1 / v2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 7(5v0 * 3v1 / 2v2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; v0 * v1 / v2; true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 2(v0 * v1 / v2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum((2v0 - v1 / v2)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum(3(2v0 - v1 / v2)); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum(abs(v0 * v1) / v2); true} , true) -equal(~{var v0[4] := {1,2,3,4}; var v1[4] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 7(sum(abs(5v0 * 3v1) / 2v2)); true} , true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (v + 1)[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (1 + v)[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (v + xx)[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (xx + v)[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx)[yy] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v)[yy] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx)[yy / xx] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v)[yy / xx] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx - yy)[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v - yy)[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx - yy + v)[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(v + 1))[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(1 + v))[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(v + xx))[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(xx + v))[1] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx))[yy] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v))[yy] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx))[yy / xx] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v))[yy / xx] == 2},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx - yy))[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v - yy))[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx - yy + v))[yy / xx] == 1},true) -equal(~{var v[5] := {0,1,2,3,4}; var successes := 0; for(var i:=0; i < v[]; i += 1) { successes += (v + 1)[i] == i + 1; }; successes == v[]},true) -equal(~{var v[5] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (v + xx)[i] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (xx + v)[i] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (v + xx)[i / xx] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (xx + v)[i / xx] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(v + 1) / 2)[1] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(1+ v) / 2)[1] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(v + 1) / 2)[2/2] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; (abs(1+ v) / 2)[2/2] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(xx + v) / 2)[1] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(v + xx) / 2)[1] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v) / 2)[yy] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx) / 2)[yy] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx) / 2)[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v) / 2)[yy / xx] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var successes := 0; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + 1))[i] == i + 1; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + xx))[i] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(xx + v))[i] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + xx))[i / xx] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(xx + v))[i / xx] == i + xx; }; successes == v[]},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx)) - xx)[1] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(2 * abs(v + xx)) - xx)[1] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx) * 2) - xx)[1] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(2abs(v + xx)) - xx)[1] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx)2) - xx)[1] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)) - xx)[yy] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2 * abs(v + xx)) - xx)[yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx) * 2) - xx)[yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2abs(v + xx)) - xx)[yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)2) - xx)[yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)) - xx)[xx / yy] == 1},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2 * abs(v + xx)) - xx)[xx / yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx) * 2) - xx)[xx / yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2abs(v + xx)) - xx)[xx / yy] == 3},true) -equal(~{var v[5] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)2) - xx)[xx / yy] == 3},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; all_true(abs(abs(xx * v)) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; all_true(abs(abs(v * xx)) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; all_true(abs(abs(-xx * v)) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; all_true(abs(abs(v * -xx)) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; all_true(abs(1 + abs(xx * v) - 1) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; all_true(abs(1 + abs(v * xx) - 1) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; all_true(abs(1 + abs(-xx * v) - 1) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; all_true(abs(1 + abs(v * -xx) - 1) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == 2v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == -xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == xx * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v * -xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == v * xx)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == abs(xx) * v)},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v * abs(xx))},true) -equal(~{var v[5] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v * abs(xx))},true) -equal(~{var v[15] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[16] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[17] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[29] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[32] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[33] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{var v[15] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[16] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[17] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[29] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[32] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[33] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{var v[1] := [ 3]; v[0] := 0; equal(min(v), 0)},true) -equal(~{var v[2] := [ 3]; v[0] := 0; equal(min(v), 0)},true) -equal(~{var v[3] := [ 3]; v[0] := 0; equal(min(v), 0)},true) -equal(~{var v[3] := [ 3]; v[1] := 1; equal(min(v), 1)},true) -equal(~{var v[3] := [ 3]; v[2] := 2; equal(min(v), 2)},true) -equal(~{var v[3] := [-1]; v[0] := 0; equal(max(v), 0)},true) -equal(~{var v[3] := [-1]; v[1] := 1; equal(max(v), 1)},true) -equal(~{var v[3] := [-1]; v[2] := 2; equal(max(v), 2)},true) -equal(~{var v[3] := {1,2,3}; equal(avg(v), 2)},true) -equal(~{var v[3] := {1,2,3}; equal(avg(v), 2)},true) -equal(~{var v[5]; all_false(v)},true) -equal(~{var v[5] := [0]; all_false(v)},true) -equal(~{var v[5] := {}; all_false(v)},true) -equal(~{var v[5] := {0}; all_false(v)},true) -equal(~{var v[5] := {0,0}; all_false(v)},true) -equal(~{var v[5] := {0,0,0}; all_false(v)},true) -equal(~{var v[5] := {0,0,0,0}; all_false(v)},true) -equal(~{var v[5] := {0,0,0,0,0}; all_false(v)},true) -equal(~{var v[5] := [1]; all_true(v)},true) -equal(~{var v[5] := {1,1,1,1,1}; all_true(v)},true) -equal(~{var xx:= 0; var v[1] := [xx]; all_false(v)},true) -equal(~{var xx:= 0; var v[1] := {xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := [xx]; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx,xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; var v[5] := {xx,xx,xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 1; var v[5] := [xx]; all_true(v)},true) -equal(~{var xx:= 1; var v[5] := {xx,xx,xx,xx,xx}; all_true(v)},true) -equal(~{var xx := 1; var yy := 1; var v[1] := [xx - yy]; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[1] := {xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := [xx - yy]; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy,xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; var v[5] := {xx - yy,xx - yy,xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 2; var yy := 1; var v[5] := [xx - yy]; all_true(v)},true) -equal(~{var xx := 2; var yy := 1; var v[5] := {xx - yy,xx - yy,xx - yy,xx - yy,xx - yy}; all_true(v)},true) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; reverse(xx); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; reverse(xx); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; reverse(xx); var yy[size] := {3,2,1 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; reverse(xx); var yy[size] := {4,3,2,1 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; reverse(xx); var yy[size] := {5,4,3,2,1}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; reverse(xx,0,xx[]-1); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; reverse(xx,0,xx[]-1); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; reverse(xx,0,xx[]-1); var yy[size] := {3,2,1 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; reverse(xx,0,xx[]-1); var yy[size] := {4,3,2,1 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; reverse(xx,0,xx[]-1); var yy[size] := {5,4,3,2,1}; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; reverse(xx, 0, floor(xx[] / 2) - 1); reverse(xx, floor(xx[] / 2), xx[] - 1); var yy[size] := {2,1,4,3 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; reverse(xx, 0, floor(xx[] / 2) - 1); reverse(xx, floor(xx[] / 2), xx[] - 1); var yy[size] := {2,1,3,5,4 }; xx == yy}) -equal(true,~{ const var size := 6; var xx[size] := [1 : 1]; reverse(xx, 0, floor(xx[] / 2) - 1); reverse(xx, floor(xx[] / 2), xx[] - 1); var yy[size] := {3,2,1,6,5,4 }; xx == yy}) -equal(true,~{ const var size := 7; var xx[size] := [1 : 1]; reverse(xx, 0, floor(xx[] / 2) - 1); reverse(xx, floor(xx[] / 2), xx[] - 1); var yy[size] := {3,2,1,7,6,5,4 }; xx == yy}) -equal(true,~{ const var size := 8; var xx[size] := [1 : 1]; reverse(xx, 0, floor(xx[] / 2) - 1); reverse(xx, floor(xx[] / 2), xx[] - 1); var yy[size] := {4,3,2,1,8,7,6,5}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_left(xx,1); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_left(xx,1); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_left(xx,1); var yy[size] := {2,3,1 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_left(xx,1); var yy[size] := {2,3,4,1 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_left(xx,1); var yy[size] := {2,3,4,5,1}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_left(xx,2); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_left(xx,2); var yy[size] := {1,2 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_left(xx,2); var yy[size] := {3,1,2 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_left(xx,2); var yy[size] := {3,4,1,2 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_left(xx,2); var yy[size] := {3,4,5,1,2}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_left(xx,3); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_left(xx,3); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_left(xx,3); var yy[size] := {1,2,3 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_left(xx,3); var yy[size] := {4,1,2,3 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_left(xx,3); var yy[size] := {4,5,1,2,3}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_right(xx,1); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_right(xx,1); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_right(xx,1); var yy[size] := {3,1,2 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_right(xx,1); var yy[size] := {4,1,2,3 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_right(xx,1); var yy[size] := {5,1,2,3,4}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_right(xx,2); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_right(xx,2); var yy[size] := {1,2 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_right(xx,2); var yy[size] := {2,3,1 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_right(xx,2); var yy[size] := {3,4,1,2 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_right(xx,2); var yy[size] := {4,5,1,2,3}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; rotate_right(xx,3); var yy[size] := {1 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; rotate_right(xx,3); var yy[size] := {2,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; rotate_right(xx,3); var yy[size] := {1,2,3 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; rotate_right(xx,3); var yy[size] := {2,3,4,1 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; rotate_right(xx,3); var yy[size] := {3,4,5,1,2}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; shftl(xx,1); var yy[size] := {0 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; shftl(xx,1); var yy[size] := {2,0 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftl(xx,1); var yy[size] := {2,3,0 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftl(xx,1); var yy[size] := {2,3,4,0 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftl(xx,1); var yy[size] := {2,3,4,5,0}; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; shftl(xx,2); var yy[size] := {0,0 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftl(xx,2); var yy[size] := {3,0,0 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftl(xx,2); var yy[size] := {3,4,0,0 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftl(xx,2); var yy[size] := {3,4,5,0,0}; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftl(xx,3); var yy[size] := {0,0,0 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftl(xx,3); var yy[size] := {4,0,0,0 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftl(xx,3); var yy[size] := {4,5,0,0,0}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [1 : 1]; shftr(xx,1); var yy[size] := {0 }; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; shftr(xx,1); var yy[size] := {0,1 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftr(xx,1); var yy[size] := {0,1,2 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftr(xx,1); var yy[size] := {0,1,2,3 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftr(xx,1); var yy[size] := {0,1,2,3,4}; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [1 : 1]; shftr(xx,2); var yy[size] := {0,0 }; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftr(xx,2); var yy[size] := {0,0,1 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftr(xx,2); var yy[size] := {0,0,1,2 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftr(xx,2); var yy[size] := {0,0,1,2,3}; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [1 : 1]; shftr(xx,3); var yy[size] := {0,0,0 }; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [1 : 1]; shftr(xx,3); var yy[size] := {0,0,0,1 }; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [1 : 1]; shftr(xx,3); var yy[size] := {0,0,0,1,2}; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [0 : +1]; reverse(xx); sort(xx,'ascending'); var yy[size] := [0 : +1]; xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [0 : +1]; reverse(xx); sort(xx,'ascending'); var yy[size] := [0 : +1]; xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [0 : +1]; reverse(xx); sort(xx,'ascending'); var yy[size] := [0 : +1]; xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [0 : +1]; reverse(xx); sort(xx,'ascending'); var yy[size] := [0 : +1]; xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [0 : +1]; reverse(xx); sort(xx,'ascending'); var yy[size] := [0 : +1]; xx == yy}) -equal(true,~{ const var size := 1; var xx[size] := [0 : +1]; sort(xx,'descending'); var yy[size] := [0 : +1]; reverse(xx); xx == yy}) -equal(true,~{ const var size := 2; var xx[size] := [0 : +1]; sort(xx,'descending'); var yy[size] := [0 : +1]; reverse(xx); xx == yy}) -equal(true,~{ const var size := 3; var xx[size] := [0 : +1]; sort(xx,'descending'); var yy[size] := [0 : +1]; reverse(xx); xx == yy}) -equal(true,~{ const var size := 4; var xx[size] := [0 : +1]; sort(xx,'descending'); var yy[size] := [0 : +1]; reverse(xx); xx == yy}) -equal(true,~{ const var size := 5; var xx[size] := [0 : +1]; sort(xx,'descending'); var yy[size] := [0 : +1]; reverse(xx); xx == yy}) -equal(~{ var xx[4] := {0,0,0,0}; all_true (xx) },false) -equal(~{ var xx[4] := {0,0,0,0}; all_false(xx) },true ) -equal(~{ var xx[4] := {0,0,0,0}; any_true (xx) },false) -equal(~{ var xx[4] := {0,0,0,0}; any_false(xx) },true ) -equal(~{ var xx[4] := {1,1,1,1}; all_true (xx) },true ) -equal(~{ var xx[4] := {1,1,1,1}; all_false(xx) },false) -equal(~{ var xx[4] := {1,1,1,1}; any_true (xx) },true ) -equal(~{ var xx[4] := {1,1,1,1}; any_false(xx) },false) -equal(~{ var xx[4] := {0,0,1,1}; all_true (xx) },false) -equal(~{ var xx[4] := {0,0,1,1}; all_false(xx) },false) -equal(~{ var xx[4] := {0,0,1,1}; any_true (xx) },true ) -equal(~{ var xx[4] := {0,0,1,1}; any_false(xx) },true ) -equal(~{ var xx[4] := {1,1,0,0}; all_true (xx) },false) -equal(~{ var xx[4] := {1,1,0,0}; all_false(xx) },false) -equal(~{ var xx[4] := {1,1,0,0}; any_true (xx) },true ) -equal(~{ var xx[4] := {1,1,0,0}; any_false(xx) },true ) -equal(~{ var xx[4] := {0,0,0,0}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {1,0,0,0}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {1,1,0,0}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {1,1,1,0}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {0,0,0,1}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {0,0,1,1}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {0,1,1,1}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {1,1,1,1}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {0,0,1,1}; count(xx) == sum(xx) },true) -equal(~{ var xx[4] := {1,1,0,0}; count(xx) == sum(xx) },true) -equal(all_true (0,0,0,0) ,false) -equal(all_false(0,0,0,0) ,true ) -equal(any_true (0,0,0,0) ,false) -equal(any_false(0,0,0,0) ,true ) -equal(all_true (1,1,1,1) ,true ) -equal(all_false(1,1,1,1) ,false) -equal(any_true (1,1,1,1) ,true ) -equal(any_false(1,1,1,1) ,false) -equal(all_true (0,0,1,1) ,false) -equal(all_false(0,0,1,1) ,false) -equal(any_true (0,0,1,1) ,true ) -equal(any_false(0,0,1,1) ,true ) -equal(all_true (1,1,0,0) ,false) -equal(all_false(1,1,0,0) ,false) -equal(any_true (1,1,0,0) ,true ) -equal(any_false(1,1,0,0) ,true ) -equal(count(0,0,0,0) == sum(0,0,0,0) ,true) -equal(count(1,0,0,0) == sum(1,0,0,0) ,true) -equal(count(1,1,0,0) == sum(1,1,0,0) ,true) -equal(count(1,1,1,0) == sum(1,1,1,0) ,true) -equal(count(0,0,0,1) == sum(0,0,0,1) ,true) -equal(count(0,0,1,1) == sum(0,0,1,1) ,true) -equal(count(0,1,1,1) == sum(0,1,1,1) ,true) -equal(count(1,1,1,1) == sum(1,1,1,1) ,true) -equal(count(0,0,1,1) == sum(0,0,1,1) ,true) -equal(count(1,1,0,0) == sum(1,1,0,0) ,true) -equal('abcd' like 'abcd*' ,true ) -equal('abcd' like 'abc*' ,true ) -equal('abcd' like 'ab*' ,true ) -equal('abcd' like 'a*' ,true ) -equal('abcd' like 'abc?' ,true ) -equal('a' like 'a*' ,true ) -equal('ab' like 'a*' ,true ) -equal('abcd' like 'abcd*' ,true ) -equal('' like '' ,true ) -equal('abcd' like 'abcd' ,true ) -equal('abcd' like 'abc*' ,true ) -equal('abcd' like '*bcd' ,true ) -equal('abcd' like 'abc?' ,true ) -equal('abcd' like '?bcd' ,true ) -equal('abcd' like 'ab?d' ,true ) -equal('abcd' like 'ab*d' ,true ) -equal('abcd' like 'a?cd' ,true ) -equal('abcd' like 'a*cd' ,true ) -equal('abcd' like 'a??d' ,true ) -equal('abcd' like 'a*?d' ,true ) -equal('abcd' like '*bc*' ,true ) -equal('abcd' like '?bc?' ,true ) -equal('abcd' like '????' ,true ) -equal('abcd' like 'a???' ,true ) -equal('abcd' like 'ab??' ,true ) -equal('abcd' like 'abc?' ,true ) -equal('abcd' like '???d' ,true ) -equal('abcd' like '??cd' ,true ) -equal('abcd' like '?bcd' ,true ) -equal('abcd' like '?b?d' ,true ) -equal('abcd' like 'a?c?' ,true ) -equal('abcd' like 'a??d' ,true ) -equal('abcd' like '?bc?' ,true ) -equal('abcd' like 'ab**' ,true ) -equal('abcd' like 'ab*?' ,true ) -equal('abcd' like 'a***' ,true ) -equal('abcd' like '**cd' ,true ) -equal('abcd' like '*?cd' ,true ) -equal('abcd' like '***d' ,true ) -equal('abcd' like '?*?d' ,true ) -equal('abcd' like '?*?d' ,true ) -equal('abcd' like '*bc*' ,true ) -equal('abcd' like '*bc?' ,true ) -equal('abcd' like '*b??' ,true ) -equal('abcd' like '?bc*' ,true ) -equal('abcd' like '??c*' ,true ) -equal('abcd' like '*b?*' ,true ) -equal('abcd' like '*b*d' ,true ) -equal('abcd' like 'a*c*' ,true ) -equal('abcd' like '?*cd' ,true ) -equal('abcd' like 'ab?*' ,true ) -equal('abcd' like 'ab*?' ,true ) -equal('abcd' like 'a?*d' ,true ) -equal('ab' like 'a*' ,true ) -equal('ab' like 'a?' ,true ) -equal('a' like 'a*' ,true ) -equal('xalabcd' like '*abcd*' ,true ) -equal('xablabcd' like '*abcd*' ,true ) -equal('xabclabcd' like '*abcd*' ,true ) -equal('aaaaa' like '*aa?' ,true ) -equal('abcdef' like 'abcdef' ,true ) -equal('abcdef' like '?bcdef' ,true ) -equal('abcdef' like '??cdef' ,true ) -equal('abcdef' like '???def' ,true ) -equal('abcdef' like '????ef' ,true ) -equal('abcdef' like '?????f' ,true ) -equal('abcdef' like '??????' ,true ) -equal('abcdef' like '?b?d?f' ,true ) -equal('abcdef' like 'a?c?e?' ,true ) -equal('abcdef' like '??cd??' ,true ) -equal('abcdef' like 'ab??ef' ,true ) -equal('abcdef' like '?b?def' ,true ) -equal('abcdef' like 'abc?e?' ,true ) -equal('abcdef' like 'a?cd?f' ,true ) -equal('ABCDEF' like '?B?D?F' ,true ) -equal('ABCDEF' like 'A?C?E?' ,true ) -equal('ABCDEF' like '??CD??' ,true ) -equal('ABCDEF' like 'AB??EF' ,true ) -equal('ABCDEF' like '?B?DEF' ,true ) -equal('ABCDEF' like 'ABC?E?' ,true ) -equal('ABCDEF' like 'A?CD?F' ,true ) -equal('abcd' ilike 'abcd*' ,true ) -equal('abcd' ilike 'abc*' ,true ) -equal('abcd' ilike 'ab*' ,true ) -equal('abcd' ilike 'a*' ,true ) -equal('abcd' ilike 'abc?' ,true ) -equal('a' ilike 'a*' ,true ) -equal('ab' ilike 'a*' ,true ) -equal('abcd' ilike 'abcd*' ,true ) -equal('' ilike '' ,true ) -equal('abcd' ilike 'abcd' ,true ) -equal('abcd' ilike 'abc*' ,true ) -equal('abcd' ilike '*bcd' ,true ) -equal('abcd' ilike 'abc?' ,true ) -equal('abcd' ilike '?bcd' ,true ) -equal('abcd' ilike 'ab?d' ,true ) -equal('abcd' ilike 'ab*d' ,true ) -equal('abcd' ilike 'a?cd' ,true ) -equal('abcd' ilike 'a*cd' ,true ) -equal('abcd' ilike 'a??d' ,true ) -equal('abcd' ilike 'a*?d' ,true ) -equal('abcd' ilike '*bc*' ,true ) -equal('abcd' ilike '?bc?' ,true ) -equal('abcd' ilike '????' ,true ) -equal('abcd' ilike 'a???' ,true ) -equal('abcd' ilike 'ab??' ,true ) -equal('abcd' ilike 'abc?' ,true ) -equal('abcd' ilike '???d' ,true ) -equal('abcd' ilike '??cd' ,true ) -equal('abcd' ilike '?bcd' ,true ) -equal('abcd' ilike '?b?d' ,true ) -equal('abcd' ilike 'a?c?' ,true ) -equal('abcd' ilike 'a??d' ,true ) -equal('abcd' ilike '?bc?' ,true ) -equal('abcd' ilike 'ab**' ,true ) -equal('abcd' ilike 'ab*?' ,true ) -equal('abcd' ilike 'a***' ,true ) -equal('abcd' ilike '**cd' ,true ) -equal('abcd' ilike '*?cd' ,true ) -equal('abcd' ilike '***d' ,true ) -equal('abcd' ilike '?*?d' ,true ) -equal('abcd' ilike '?*?d' ,true ) -equal('abcd' ilike '*bc*' ,true ) -equal('abcd' ilike '*bc?' ,true ) -equal('abcd' ilike '*b??' ,true ) -equal('abcd' ilike '?bc*' ,true ) -equal('abcd' ilike '??c*' ,true ) -equal('abcd' ilike '*b?*' ,true ) -equal('abcd' ilike '*b*d' ,true ) -equal('abcd' ilike 'a*c*' ,true ) -equal('abcd' ilike '?*cd' ,true ) -equal('abcd' ilike 'ab?*' ,true ) -equal('abcd' ilike 'ab*?' ,true ) -equal('abcd' ilike 'a?*d' ,true ) -equal('ab' ilike 'a*' ,true ) -equal('ab' ilike 'a?' ,true ) -equal('a' ilike 'a*' ,true ) -equal('xalabcd' ilike '*abcd*',true ) -equal('xablabcd' ilike '*abcd*',true ) -equal('xabclabcd' ilike '*abcd*',true ) -equal('aaaaa' ilike '*aa?' ,true ) -equal('abcdef' ilike 'abcdef' ,true ) -equal('abcdef' ilike '?bcdef' ,true ) -equal('abcdef' ilike '??cdef' ,true ) -equal('abcdef' ilike '???def' ,true ) -equal('abcdef' ilike '????ef' ,true ) -equal('abcdef' ilike '?????f' ,true ) -equal('abcdef' ilike '??????' ,true ) -equal('abcdef' ilike 'ABCDEF' ,true ) -equal('abcdef' ilike '?BCDEF' ,true ) -equal('abcdef' ilike '??CDEF' ,true ) -equal('abcdef' ilike '???DEF' ,true ) -equal('abcdef' ilike '????EF' ,true ) -equal('abcdef' ilike '?????F' ,true ) -equal('abcdef' ilike '??????' ,true ) -equal('ABCDEF' ilike 'abcdef' ,true ) -equal('ABCDEF' ilike '?bcdef' ,true ) -equal('ABCDEF' ilike '??cdef' ,true ) -equal('ABCDEF' ilike '???def' ,true ) -equal('ABCDEF' ilike '????ef' ,true ) -equal('ABCDEF' ilike '?????f' ,true ) -equal('ABCDEF' ilike '??????' ,true ) -equal('ABCDEF' ilike 'ABCDEF' ,true ) -equal('ABCDEF' ilike '?BCDEF' ,true ) -equal('ABCDEF' ilike '??CDEF' ,true ) -equal('ABCDEF' ilike '???DEF' ,true ) -equal('ABCDEF' ilike '????EF' ,true ) -equal('ABCDEF' ilike '?????F' ,true ) -equal('ABCDEF' ilike '??????' ,true ) -equal('abcdef' ilike '?b?d?f' ,true ) -equal('abcdef' ilike 'a?c?e?' ,true ) -equal('abcdef' ilike '??cd??' ,true ) -equal('abcdef' ilike 'ab??ef' ,true ) -equal('abcdef' ilike '?b?def' ,true ) -equal('abcdef' ilike 'abc?e?' ,true ) -equal('abcdef' ilike 'a?cd?f' ,true ) -equal('ABCDEF' ilike '?b?d?f' ,true ) -equal('ABCDEF' ilike 'a?c?e?' ,true ) -equal('ABCDEF' ilike '??cd??' ,true ) -equal('ABCDEF' ilike 'ab??ef' ,true ) -equal('ABCDEF' ilike '?b?def' ,true ) -equal('ABCDEF' ilike 'abc?e?' ,true ) -equal('ABCDEF' ilike 'a?cd?f' ,true ) -equal('abcdef' ilike '?B?D?F' ,true ) -equal('abcdef' ilike 'A?C?E?' ,true ) -equal('abcdef' ilike '??CD??' ,true ) -equal('abcdef' ilike 'AB??EF' ,true ) -equal('abcdef' ilike '?B?DEF' ,true ) -equal('abcdef' ilike 'ABC?E?' ,true ) -equal('abcdef' ilike 'A?CD?F' ,true ) -equal('ABCDEF' ilike '?B?D?F' ,true ) -equal('ABCDEF' ilike 'A?C?E?' ,true ) -equal('ABCDEF' ilike '??CD??' ,true ) -equal('ABCDEF' ilike 'AB??EF' ,true ) -equal('ABCDEF' ilike '?B?DEF' ,true ) -equal('ABCDEF' ilike 'ABC?E?' ,true ) -equal('ABCDEF' ilike 'A?CD?F' ,true ) -equal('abcd' like 'abcd?' ,false) -equal('abcd' like 'abc??' ,false) -equal('abcd' like 'ab???' ,false) -equal('abcd' like 'a????' ,false) -equal('abcd' like '?????' ,false) -equal('a' like 'a?' ,false) -equal('abcd' like 'xyzw' ,false) -equal('abcd' like 'xyz' ,false) -equal('abc' like 'xyzw' ,false) -equal('abcd' like 'ab?' ,false) -equal('abcd' like 'a?' ,false) -equal('abcd' ilike 'abcd?' ,false) -equal('abcd' ilike 'abc??' ,false) -equal('abcd' ilike 'ab???' ,false) -equal('abcd' ilike 'a????' ,false) -equal('abcd' ilike '?????' ,false) -equal('a' ilike 'a?' ,false) -equal('abcd' ilike 'xyzw' ,false) -equal('abcd' ilike 'xyz' ,false) -equal('abc' ilike 'xyzw' ,false) -equal('abcd' ilike 'ab?' ,false) -equal('abcd' ilike 'a?' ,false) -equal(true, ~{var xx := 'abcdefgh'; xx[1:4] == 'bcde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[ :8 / 2] == 'abcde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[ :4] == 'abcde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[ :4] == xx[:8 / 2] }) -equal(true, ~{var xx := 'abcdefgh'; xx[2 + 1: ] =='defgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[ : ] == 'abcdefgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[:] == 'abcdefgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[4/2:3+1] == 'cde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[2:4] == 'cde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-1] == 'abcdefgh'}) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-2] == 'abcdefg' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-3] == 'abcdef' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-4] == 'abcde' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-5] == 'abcd' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-6] == 'abc' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-7] == 'ab' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[]-8] == 'a' }) -equal(true, ~{var xx := 'abcdefgh'; xx[0:xx[] ] == 'abcdefgh'}) -equal(true, ~{var xx := 'abcdefgh'; xx[1:xx[] ] == 'bcdefgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[2:xx[] ] == 'cdefgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[3:xx[] ] == 'defgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[4:xx[] ] == 'efgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[5:xx[] ] == 'fgh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[6:xx[] ] == 'gh' }) -equal(true, ~{var xx := 'abcdefgh'; xx[7:xx[] ] == 'h' }) -equal(true, ~{var xx := 'abcdefgh'; xx[8:xx[] ] == '' }) -equal(true, ~{var xx := 'abcdefgh'; xx[1:xx[]-2] == 'bcdefg' }) -equal(true, ~{var xx := 'abcdefgh'; xx[2:xx[]-3] == 'cdef' }) -equal(true, ~{var xx := 'abcdefgh'; xx[3:xx[]-4] == 'de' }) -equal(true, ~{var xx := 'abcdefgh'; 'cde' == xx[4/2:3+1] }) -equal(true, ~{var xx := 'abcdefgh'; 'cde' == xx[2:4] }) -equal(true, ~{var xx := 'abcdefgh'; 'abcdefgh' == xx[0:xx[]-1]}) -equal(true, ~{var xx := 'abcdefgh'; 'abcdefg' == xx[0:xx[]-2]}) -equal(true, ~{var xx := 'abcdefgh'; 'abcdef' == xx[0:xx[]-3]}) -equal(true, ~{var xx := 'abcdefgh'; 'abcde' == xx[0:xx[]-4]}) -equal(true, ~{var xx := 'abcdefgh'; 'abcd' == xx[0:xx[]-5]}) -equal(true, ~{var xx := 'abcdefgh'; 'abc' == xx[0:xx[]-6]}) -equal(true, ~{var xx := 'abcdefgh'; 'ab' == xx[0:xx[]-7]}) -equal(true, ~{var xx := 'abcdefgh'; 'a' == xx[0:xx[]-8]}) -equal(true, ~{var xx := 'abcdefgh'; 'abcdefgh' == xx[0:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'bcdefgh' == xx[1:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'cdefgh' == xx[2:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'defgh' == xx[3:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'efgh' == xx[4:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'fgh' == xx[5:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'gh' == xx[6:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'h' == xx[7:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; '' == xx[8:xx[] ]}) -equal(true, ~{var xx := 'abcdefgh'; 'bcdefg' == xx[1:xx[]-2]}) -equal(true, ~{var xx := 'abcdefgh'; 'cdef' == xx[2:xx[]-3]}) -equal(true, ~{var xx := 'abcdefgh'; 'de' == xx[3:xx[]-4]}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n < m) 'n < m'; else 'n >= m'; }; (s == 'n < m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n > m) 'n <= m'; else 'n > m'; }; (s == 'n > m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n < m) 'n < m'; else 'n >' + '= m'; }; (s == 'n < m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n < m) 'n ' + '< m'; else 'n >= m'; }; (s == 'n < m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n > m) 'n <= m'; else 'n ' + '> m'; }; (s == 'n > m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; if (n > m) 'n <' + '= m'; else 'n > m'; }; (s == 'n > m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; var r0 := 'n < m'; var r1 := 'n >= m'; if (n < m) r0; else r1; }; (s == 'n < m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; var r0 := 'n < m'; var r1 := 'n >= m'; if (n < m) r0 + ''; else r1 + ''; }; (s == 'n < m')}) -equal(true, ~{var s := ~{var n := 1; var m := 2; var r0 := 'n < m'; var r1 := 'n >= m'; if (n < m) '' + r0; else '' + r1; }; (s == 'n < m')}) -equal(111,~{var n:=1; switch { case n > 0: 111; default: 222; }}) -equal(222,~{var n:=0; switch { case n > 0: 111; default: 222; }}) -equal(111,~{var n:=0; switch { case true : 111; default: 222; }}) -equal(222,~{var n:=0; switch { case false: 111; default: 222; }}) -equal(111,~{var n:=1; switch { default: 222; case n > 0: 111; }}) -equal(222,~{var n:=0; switch { default: 222; case n > 0: 111; }}) -equal(111,~{var n:=0; switch { default: 222; case true : 111; }}) -equal(222,~{var n:=0; switch { default: 222; case false: 111; }}) -equal(111,~{var n:=1; switch { case n == 1: 111; case n == 2: 222; default: 333; }}) -equal(111,~{var n:=1; switch { case n == 1: 111; default: 333; case n == 2: 222; }}) -equal(111,~{var n:=1; switch { default: 333; case n == 1: 111; case n == 2: 222; }}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 < 2, v0, v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 > 2, v0, v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0, v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0, v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 < 2, v0, v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 > 2, v0, v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0, v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0, v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 < 2) v0; else v1;) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 > 2) v0; else v1;) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0; else v1;) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0; else v1;) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 < 2) v0; else v1;) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 > 2) v0; else v1;) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0; else v1;) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0; else v1;) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; ((1 < 2) ? v0 : v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; ((1 > 2) ? v0 : v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; ((1 < 2) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; ((1 > 2) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 : v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 : v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; ((1 < 2) ? v0 : v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; ((1 > 2) ? v0 : v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; ((1 < 2) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; ((1 > 2) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 : v1) == v0}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 : v1) == v1}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{var xx := 0; for(var i:= 0; i < 10; i+=1) { for(var j:= 0; j < 100; j+=1) { if (j > i) break; xx += 1; } }; xx == 55}) -equal(true,~{var xx := 0; for(var i:= 0; i < 10; i+=1) { for(var j:= 0; j < 100; j+=1) { xx += 1; if (j > i) break; } }; xx == 65}) -equal(true,~{var xx := 0; var i := 0; while(i < 10) { var j := 0; while(j < 100) { if (j > i) break; xx += 1; j+=1 }; i+=1 }; xx == 55}) -equal(true,~{var xx := 0; var i := 0; while(i < 10) { var j := 0; while(j < 100) { xx += 1; if (j > i) break; j+=1 }; i+=1 }; xx == 65}) -equal(0000,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0,v1)) }) -equal(0000,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0,v1) * 0) }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0,v1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0,v1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0,v1)) + (dot(v0,v1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0,v1) * 0) + (0 * dot(v0,v1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(v0,v1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(v0,v1)) + (dot(v0,v1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0,v1) * 0) + (0 / dot(v0,v1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) + (0 * dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) + (0 / dot(2 * v0,v1 - 1)) == 0 }) -equal(0000,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) }) -equal(0000,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) + (0 * dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (0 / dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) + (0 / dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{var a := 2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := 2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := 2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := 2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := 2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := 2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := 2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := 2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := 2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := 2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := -2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := -2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := -2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := -2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := -2; var b := 3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := -2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := -2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := -2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := -2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := -2; var b := -3; var xx[4] := {1,2,3,4}; var yy[4] := {5,6,7,8}; var yy_[4] := yy; var zz[4] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,0); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,3,4,5,6,7}; assign(v0,1,0,2); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,5,6,7}; assign(v0,1,0,4); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,6,7}; assign(v0,1,0,5); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,7}; assign(v0,1,0,6); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,1,1,1}; assign(v0,1,1,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,1,1,1}; assign(v0,1,2,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,1,1,1,1,1}; assign(v0,1,3,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,1,1,1}; assign(v0,1,5,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,1,1}; assign(v0,1,6,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,6,1}; assign(v0,1,7,7); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,0,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,1,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,3,4,5,6,7}; assign(v0,1,0,2,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,5,6,7}; assign(v0,1,0,4,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,6,7}; assign(v0,1,0,5,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,7}; assign(v0,1,0,6,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,1,1,1}; assign(v0,1,1,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,1,1,1}; assign(v0,1,2,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,1,1,1,1,1}; assign(v0,1,3,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,1,1,1}; assign(v0,1,5,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,1,1}; assign(v0,1,6,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,6,1}; assign(v0,1,7,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,5,6,7}; assign(v0,1,1,4,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,1,1,1,6,7}; assign(v0,1,2,5,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,1,1,1,1,7}; assign(v0,1,3,6,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7,1); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,1,3,1,5,1,7}; assign(v0,1,0,7,2); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,1,4,1,6,1}; assign(v0,1,1,7,2); all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; v0 := 0; all_false(v0)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,1,2,3,4,5,6,7}; v0 := 0; all_false(v0)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,2,3,4,5,6,7,8}; v0 := 0; iota(v0,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,2,4,6,8,10,12,14}; v0 := 0; iota(v0,0,2) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,3,6,9,12,15,18,21}; v0 := 0; iota(v0,0,3) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,2,3,4,5,6,7,8}; iota(v0,0,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,6,7}; iota(v0,1,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,1,2,3,4,5,6}; iota(v0,2,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,1,2,3,4,5}; iota(v0,3,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,1,2,3,4}; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,1,2,3}; iota(v0,5,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,1,2}; iota(v0,6,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,6,1}; iota(v0,7,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,2,3,4,5,6,7,8}; v0 := 0; iota(v0,0,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,5,6,7}; v0 := 0; iota(v0,1,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,1,2,3,4,5,6}; v0 := 0; iota(v0,2,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,1,2,3,4,5}; v0 := 0; iota(v0,3,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,0,1,2,3,4}; v0 := 0; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,0,0,1,2,3}; v0 := 0; iota(v0,5,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,0,0,0,1,2}; v0 := 0; iota(v0,6,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,0,0,0,0,1}; v0 := 0; iota(v0,7,7,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {1,2,3,4,0,0,0,0}; v0 := 0; iota(v0,0,3,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,1,2,3,4,0,0,0}; v0 := 0; iota(v0,1,4,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,1,2,3,4,0,0}; v0 := 0; iota(v0,2,5,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,1,2,3,4,0}; v0 := 0; iota(v0,3,6,1,1) all_true(v0 == v1)},true) -equal(~{var v0[8] := {0,1,2,3,4,5,6,7}; var v1[8] := {0,0,0,0,1,2,3,4}; v0 := 0; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{var v[8] := {1,1,1,1,1,1,1,1}; sumk(v) == 8},true) -equal(~{var v[8] := {1,1,1,1,1,1,1,1}; sumk(v,0,v[] - 1) == 8},true) -equal(~{var v[8] := {1,1,1,1,1,1,1,1}; sumk(v,0,v[] - 1,1) == 8},true) -equal(~{var v[8] := {1,0,1,0,1,0,1,0}; sumk(v,0,v[] - 1,2) == 4},true) -equal(~{var v[8] := {0,1,0,1,0,1,0,1}; sumk(v,1,v[] - 1,2) == 4},true) -equal(~{var v[8] := {1,1,1,1,1,1,1,1}; var u[8] := [null]; var ww[8] := {0,0,0,0,0,0,0,0}; diff(v,u); u[0] := 0; all_true(u == ww)},true) -equal(~{var v[8] := {1,2,3,4,5,6,7,8}; var u[8] := [null]; var ww[8] := {0,0,2,2,2,2,2,2}; diff(v,u,2); u[0] := 0; u[1] := 0; all_true(u == ww)},true) -equal(~{var v[8] := [v[]]; sumk(v) == v[]^2},true) -equal(~{var v[8] := [v[]]; sumk(v,0,v[] - 1) == v[]^2},true) -equal(~{var v[8] := [v[]]; sumk(v,0,v[] - 1,1) == v[]^2},true) -equal(true,~{var v[3] := [0]; (v[0] == 0) and (v[1] == 0) and (v[2] == 0)}) -equal(true,~{var v[3] := [1]; (v[0] == 1) and (v[1] == 1) and (v[2] == 1)}) -equal(true,~{var xx := 4; var v[3] := [xx / 2]; (v[0] == 2) and (v[1] == 2) and (v[2] == 2)}) -equal(true,~{var v[3] := [0 : +1]; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)}) -equal(true,~{var v[3] := [0 : -1]; (v[0] == 0) and (v[1] == -1) and (v[2] == -2)}) -equal(true,~{var xx := +4; var v[3] := [0 : xx / 2]; (v[0] == 0) and (v[1] == 2) and (v[2] == 4)}) -equal(true,~{var xx := -4 ;var v[3] := [0 : xx / 2]; (v[0] == 0) and (v[1] == -2) and (v[2] == -4)}) -equal(true,~{var xx := +4; var v[3] := [xx / 2 : +3]; (v[0] == 2) and (v[1] == 5) and (v[2] == 8)}) -equal(true,~{var xx := +4; var v[3] := [xx / 2 : -3]; (v[0] == 2) and (v[1] == -1) and (v[2] == -4)}) -equal(true,~{var xx := +6; var v[3] := [xx / 2 : xx / 3]; (v[0] == +3) and (v[1] == +5) and (v[2] == +7)}) -equal(true,~{var xx := -6; var v[3] := [xx / 2 : xx / 3]; (v[0] == -3) and (v[1] == -5) and (v[2] == -7)}) -equal(true,~{var v[3] := {0,1,2}; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)}) -equal(true,~{var v[6] := { 0, 1, 2, 3, 4, 5 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 4) and (v[5] == 5)}) -equal(true,~{var v[6] := { 0, 1, 2, 3, 4 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 4) and (v[5] == 0)}) -equal(true,~{var v[6] := { 0, 1, 2, 3 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{var v[6] := { 0, 1, 2 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{var v[6] := { 0, 1 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 0) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{var v[6] := { 0 }; (v[0] == 0) and (v[1] == 0) and (v[2] == 0) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{var v[6] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3, v[] + 4, v[] + 5 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == v[] + 4) and (v[5] == v[] + 5)}) -equal(true,~{var v[6] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3, v[] + 4 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == v[] + 4) and (v[5] == 0 )}) -equal(true,~{var v[6] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{var v[6] := { v[] + 0, v[] + 1, v[] + 2 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{var v[6] := { v[] + 0, v[] + 1 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == 0 ) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{var v[6] := { v[] + 0 }; (v[0] == v[] + 0) and (v[1] == 0 ) and (v[2] == 0 ) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{var v[3] := [v[]]; (v[0] == v[]) and (v[1] == v[]) and (v[2] == v[])}) -equal(true,~{var xx := 2; var v[3] := [v[] / xx]; (v[0] == v[] / xx) and (v[1] == v[] / xx) and (v[2] == v[] / xx)}) -equal(true,~{var v[3] := [0 : +v[]]; (v[0] == 0) and (v[1] == v[]) and (v[2] == 2v[])}) -equal(true,~{var v[3] := [0 : -v[]]; (v[0] == 0) and (v[1] == -v[]) and (v[2] == -2v[])}) -equal(true,~{var xx := +4; var v[3] := [0 : +v[]]; (v[0] == 0) and (v[1] == v[]) and (v[2] == 2v[])}) -equal(true,~{var xx := +4; var v[3] := [0 : -v[]]; (v[0] == 0) and (v[1] == -v[]) and (v[2] == -2v[])}) -equal(true,~{var xx := +1; var v[3] := [0 : v[] / xx]; (v[0] == 0) and (v[1] == 3) and (v[2] == 6)}) -equal(true,~{var xx := -1 ;var v[3] := [0 : v[] / xx]; (v[0] == 0) and (v[1] == -3) and (v[2] == -6)}) -equal(true,~{var v[3] := { v[], v[] + 1, v[] + 2 }; (v[0] == 3) and (v[1] == 4) and (v[2] == 5)}) -equal(~{const var n := 1000; n == 1000},true) -equal(~{const var n := 1000; (n + 1) == 1001},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; xx := yy; (xx[0] == 1) and (xx[1] == 2) and (xx[2] == 3) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; xx := (yy + 1); (xx[0] == 2) and (xx[1] == 3) and (xx[2] == 4) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; xx := (1 + yy); (xx[0] == 2) and (xx[1] == 3) and (xx[2] == 4) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; xx := 2*(yy + 1); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 8) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; xx := (yy + 1)*2; (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 8) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := (yy + zz); (xx[0] == 2) and (xx[1] == 4) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := 2 * (yy + zz); (xx[0] == 4) and (xx[1] == 8) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := (yy + zz) * 2; (xx[0] == 4) and (xx[1] == 8) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := ((1 + yy) + (1 + zz)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := ((yy + 1) + (zz + 1)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := ((1 + yy) + (zz + 1)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 4; var xx[n] := {}; var yy[n - 1] := {1,2,3}; var zz[n / 2] := {1,2}; xx := ((yy + 1) + (1 + zz)); (xx[0] == 4) and (xx[1] == 6) and (xx[2] == 0) and (xx[3] == 0)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := abs(xx); sum(xx) == (10^5 * 3)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := abs(xx + 1); sum(xx) == (10^5 * 2)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := abs(1 + xx); sum(xx) == (10^5 * 2)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := abs(xx) + 1; sum(xx) == (10^5 * 4)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := 1 + abs(xx); sum(xx) == (10^5 * 4)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := 2 * abs(xx + 1); sum(xx) == (10^5 * 4)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; xx := abs(1 + xx) * 2; sum(xx) == (10^5 * 4)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs(xx + yy); sum(xx) == (10^5 * 7)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs(xx + yy) + 1; sum(xx) == (10^5 * 8)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := 1 + abs(xx + yy); sum(xx) == (10^5 * 8)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((xx + 1) + (yy + 1)); sum(xx) == (10^5 * 5)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((1 + xx) + (1 + yy)); sum(xx) == (10^5 * 5)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((xx + 1) + (1 + yy)); sum(xx) == (10^5 * 5)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((1 + xx) + (yy + 1)); sum(xx) == (10^5 * 5)},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := 2 * abs((xx + 1) + (yy + 1)); sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := 2 * abs((1 + xx) + (1 + yy)); sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := 2 * abs((xx + 1) + (1 + yy)); sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := 2 * abs((1 + xx) + (yy + 1)); sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((xx + 1) + (yy + 1)) * 2; sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((1 + xx) + (1 + yy)) * 2; sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((xx + 1) + (1 + yy)) * 2; sum(xx) == 10^6},true) -equal(~{const var n := 10^5; var xx[n] := [-3]; var yy[n] := [-4]; xx := abs((1 + xx) + (yy + 1)) * 2; sum(xx) == 10^6},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v + 1); sum(v) == (2 * sum(v_orig) + v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v - 1); sum(v) == (2 * sum(v_orig) - v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + xx); sum(v) == (2 * sum(v_orig) + v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v - xx); sum(v) == (2 * sum(v_orig) - v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + (v + xx)); sum(v) == (3 * sum(v_orig) + v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v + (v - xx)); sum(v) == (3 * sum(v_orig) - v[] * 1)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; v += (v += 1); sum(v) == (2 * sum(v_orig) + 2 * (v[] * 1))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v += xx); sum(v) == (2 * sum(v_orig) + 2 * (v[] * xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var v_orig[v[]] := v; var xx := 1; v += (v -= xx); sum(v) == (2 * sum(v_orig) - 2 * (v[] * xx))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[7] := {1,2,3,4,5,6,7}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{const var n := 6; var v[n] := {1,2,3,4,5,6}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{const var n := 5; var v[n] := {1,2,3,4,5}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{const var n := 4; var v[n] := {1,2,3,4}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{const var n := 3; var v[n] := {1,2,3}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[2] := {1,2}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{var v[1] := {1}; sum(v) == (v[]*(v[] + 1) / 2)},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; sum(v) == (v[] * (v[] + 1) / 2)},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; min(v) == 1},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; max(v) == v[]},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; avg(v) == (min(v) + max(v)) / 2},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; sum(v + 1) == (v[] * (v[] + 1) / 2 + (v[] * 1))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; sum(v - 1) == (v[] * (v[] + 1) / 2 - (v[] * 1))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(v + xx) == (v[] * (v[] + 1) / 2 + (v[] * xx))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(v - xx) == (v[] * (v[] + 1) / 2 - (v[] * xx))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(2v + xx) == (v[] * (v[] + 1) + (v[] * xx))},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; var xx:= 1; sum(2v - xx) == (v[] * (v[] + 1) - (v[] * xx))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(vv0) == (vv0[] * (vv0[] + 1) / 2)},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (min(vv0) == 1)},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (max(vv0) == vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (avg(vv0) == (min(vv0) + max(vv0)) / 2)},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(vv0 + 1) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1)))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(vv0 - 1) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1)))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(1 + vv0) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1)))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(-1 + vv0) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1)))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(vv0 + xx) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * xx))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(vv0 - xx) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * xx))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(2vv0) == (vv0[] * (vv0[] + 1))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(vv0 * 2) == (vv0[] * (vv0[] + 1))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(2vv0 + 1) == (vv0[] * (vv0[] + 1) + vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(1 + 2vv0) == (vv0[] * (vv0[] + 1) + vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(2vv0 + xx) == (vv0[] * (vv0[] + 1) + xx * vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(xx + 2vv0) == (vv0[] * (vv0[] + 1) + xx * vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; sum(vv0 += 1) == (vv0[] * (vv0[] + 1) / 2 + vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(vv0 += xx) == (vv0[] * (vv0[] + 1) / 2 + xx * vv0[])},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(vv0 -= xx) == (vv0[] * (vv0[] + 1 - 2xx) / 2)},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(2vv0) == 2 * sum(vv0))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (sum(vv0 * 2) == 2 * sum(vv0))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 1; sum(2vv0) == (vv0[] * (vv0[] + 1))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; var xx := 2; sum(if (xx > 1) { vv0 } else { vv1 }) == sum(vv0)},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; dot(2 * vv0,vv1 - 1) + dot(2 * vv0,vv1 - 1) == 2sum(2vv0 * (vv1 - 1))},true) -equal(~{const var n := 4; var vv0[n] := {1,2,3,4}; var vv1[n] := {1,2,3,4}; (0 * dot(2 * vv0,vv1 - 1)) == 0},true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 2 * v0; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; v0 * 2; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 2v0 + 3; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 3 + 2v0; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; (2v0 + 3) * (2v0 + 3); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; (3 + 2v0) * (3 + 2v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; v0 + v1; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; (v0 + v1) * (v0 - v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 2v0 + 3v1; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 2v0 - v1 / 3; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; 2(v0 / 3 + v1 / 4); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; abs(v0 - v1) * abs(v1 - v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; abs(2v0 - v1) * abs(v1 - 2v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; abs(2v0 - 3v1) * abs(3v1 - 5v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(2 * v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(v0 * 2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(v0 * v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(2v0 + 3); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(3 + 2v0); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum((2v0 + 3) * (2v0 + 3)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum((3 + 2v0) * (3 + 2v0)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(v0 + v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum((v0 + v1) * (v0 - v1)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(2v0 + 3v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(v0 + v1) + avg(v0 - v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(2v0 + 3v1) + sum(4 / v0 - 5 / v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(abs(v0 - v1) * abs(v1 - v0)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(abs(2v0 - v1) * abs(v1 - 2v0)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; sum(abs(2v0 - 3v1) * abs(3v1 - 5v0)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; axpbz(2,v0,3,v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; axpy(2,v0,v1); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; (2v0 - v1 / v2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 3(2v0 - v1 / v2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 7(5v0 * 3v1 / 2v2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; v0 * v1 / v2; true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 2(v0 * v1 / v2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum((2v0 - v1 / v2)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum(3(2v0 - v1 / v2)); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; sum(abs(v0 * v1) / v2); true} , true) -equal(~{const var n := 4; var v0[n] := {1,2,3,4}; var v1[n] := {1,2,3,4}; var v2[4] := {1,2,3,4}; 7(sum(abs(5v0 * 3v1) / 2v2)); true} , true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (v + 1)[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (1 + v)[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (v + xx)[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (xx + v)[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx)[yy] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v)[yy] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx)[yy / xx] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v)[yy / xx] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (v + xx - yy)[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx + v - yy)[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (xx - yy + v)[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(v + 1))[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(1 + v))[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(v + xx))[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(xx + v))[1] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx))[yy] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v))[yy] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx))[yy / xx] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v))[yy / xx] == 2},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx - yy))[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v - yy))[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx - yy + v))[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var successes := 0; for(var i:=0; i < v[]; i += 1) { successes += (v + 1)[i] == i + 1; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (v + xx)[i] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (xx + v)[i] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (v + xx)[i / xx] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var successes := 0; var xx := 1 ; for(var i:=0; i < v[]; i += 1) { successes += (xx + v)[i / xx] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(v + 1) / 2)[1] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(1+ v) / 2)[1] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(v + 1) / 2)[2/2] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; (abs(1+ v) / 2)[2/2] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(xx + v) / 2)[1] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(v + xx) / 2)[1] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v) / 2)[yy] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx) / 2)[yy] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(v + xx) / 2)[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(xx + v) / 2)[yy / xx] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var successes := 0; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + 1))[i] == i + 1; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + xx))[i] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(xx + v))[i] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(v + xx))[i / xx] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var successes := 0; var xx := 1 ; for(var i := 0; i < v[]; i += 1) { successes += (abs(xx + v))[i / xx] == i + xx; }; successes == v[]},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx)) - xx)[1] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(2 * abs(v + xx)) - xx)[1] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx) * 2) - xx)[1] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(2abs(v + xx)) - xx)[1] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; (abs(abs(v + xx)2) - xx)[1] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)) - xx)[yy] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2 * abs(v + xx)) - xx)[yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx) * 2) - xx)[yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2abs(v + xx)) - xx)[yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)2) - xx)[yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)) - xx)[xx / yy] == 1},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2 * abs(v + xx)) - xx)[xx / yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx) * 2) - xx)[xx / yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(2abs(v + xx)) - xx)[xx / yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0, 1, 2, 3, 4}; var xx := 1; var yy := 1; (abs(abs(v + xx)2) - xx)[xx / yy] == 3},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; all_true(abs(abs(xx * v)) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; all_true(abs(abs(v * xx)) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; all_true(abs(abs(-xx * v)) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; all_true(abs(abs(v * -xx)) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(-xx * v)) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(abs(v * -xx)) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(xx * v)) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(abs(v * xx)) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; all_true(abs(1 + abs(xx * v) - 1) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; all_true(abs(1 + abs(v * xx) - 1) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; all_true(abs(1 + abs(-xx * v) - 1) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; all_true(abs(1 + abs(v * -xx) - 1) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(-xx * v) - 1) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; all_true(abs(1 + abs(v * -xx) - 1) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(xx * v) - 1) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; all_true(abs(1 + abs(v * xx) - 1) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(-xx * v) - yy) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy + abs(v * -xx) - yy) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(xx * v) - yy) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy + abs(v * xx) - yy) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -1; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 1; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == 2v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == -xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == xx * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v * -xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(-xx * v) / yy) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := 2; var yy := 1; all_true(abs(yy * abs(v * -xx) / yy) == v * xx)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == abs(xx) * v)},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(xx * v) / yy) == v * abs(xx))},true) -equal(~{const var n := 5; var v[n] := {0,1,2,3,4}; var xx := -2; var yy := 1; all_true(abs(yy * abs(v * xx) / yy) == v * abs(xx))},true) -equal(~{const var n := 15; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 16; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 17; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 29; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 32; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 33; var v[n] := [1.1]; equal(sum(v), 1.1 * v[])},true) -equal(~{const var n := 15; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 16; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 17; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 29; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 32; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 33; var v[n] := [1.1]; equal(mul(v), 1.1 ^ v[])},true) -equal(~{const var n := 3; var v[n] := [ 3]; v[0] := 0; equal(min(v), 0)},true) -equal(~{const var n := 3; var v[n] := [ 3]; v[1] := 1; equal(min(v), 1)},true) -equal(~{const var n := 3; var v[n] := [ 3]; v[2] := 2; equal(min(v), 2)},true) -equal(~{const var n := 3; var v[n] := [-1]; v[0] := 0; equal(max(v), 0)},true) -equal(~{const var n := 3; var v[n] := [-1]; v[1] := 1; equal(max(v), 1)},true) -equal(~{const var n := 3; var v[n] := [-1]; v[2] := 2; equal(max(v), 2)},true) -equal(~{const var n := 3; var v[n] := {1,2,3}; equal(avg(v), 2)},true) -equal(~{const var n := 3; var v[n] := {1,2,3}; equal(avg(v), 2)},true) -equal(~{const var n := 3; var v[n]; all_false(v)},true) -equal(~{const var n := 5; var v[n] := [0]; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {0}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {0,0}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {0,0,0}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {0,0,0,0}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := {0,0,0,0,0}; all_false(v)},true) -equal(~{const var n := 5; var v[n] := [1]; all_true(v)},true) -equal(~{const var n := 5; var v[n] := {1,1,1,1,1}; all_true(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := [xx]; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx}; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx}; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx,xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 0; const var n := 5; var v[n] := {xx,xx,xx,xx,xx}; all_false(v)},true) -equal(~{var xx:= 1; const var n := 5; var v[n] := [xx]; all_true(v)},true) -equal(~{var xx:= 1; const var n := 5; var v[n] := {xx,xx,xx,xx,xx}; all_true(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := [xx - yy]; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy,xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 1; var yy := 1; const var n := 5; var v[n] := {xx - yy,xx - yy,xx - yy,xx - yy,xx - yy}; all_false(v)},true) -equal(~{var xx := 2; var yy := 1; const var n := 5; var v[n] := [xx - yy]; all_true(v)},true) -equal(~{var xx := 2; var yy := 1; const var n := 5; var v[n] := {xx - yy,xx - yy,xx - yy,xx - yy,xx - yy}; all_true(v)},true) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; if (1 < 2, v0, v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; if (1 > 2, v0, v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0, v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0, v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; if (1 < 2, v0, v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; if (1 > 2, v0, v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0, v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0, v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ < y_, v0 - v1, v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; if (x_ > y_, v0 - v1, v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (if (1 < 2) v0; else v1;) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (if (1 > 2) v0; else v1;) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0; else v1;) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0; else v1;) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; (if (1 < 2) v0; else v1;) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; (if (1 > 2) v0; else v1;) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0; else v1;) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0; else v1;) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ < y_) v0 - v1; else v1 - v0;) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; (if (x_ > y_) v0 - v1; else v1 - v0;) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; ((1 < 2) ? v0 : v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; ((1 > 2) ? v0 : v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; ((1 < 2) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; ((1 > 2) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 : v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 : v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; ((1 < 2) ? v0 : v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; ((1 > 2) ? v0 : v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; ((1 < 2) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; ((1 > 2) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 : v1) == v0}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 : v1) == v1}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ < y_) ? v0 - v1 : v1 - v0) == (v0 - v1)}) -equal(true,~{const var n := 3; var v0[n] := {1,2,3}; var v1[n + 1] := {6,7,8,9}; var x_ := 1; var y_ := 2; ((x_ > y_) ? v0 - v1 : v1 - v0) == (v1 - v0)}) -equal(0000,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0,v1)) }) -equal(0000,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0,v1) * 0) }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0,v1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0,v1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0,v1)) + (dot(v0,v1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0,v1) * 0) + (0 * dot(v0,v1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(v0,v1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(v0,v1)) + (dot(v0,v1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0,v1) * 0) + (0 / dot(v0,v1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) + (0 * dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(2 * v0,v1 - 1)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(2 * v0,v1 - 1) * 0) + (0 / dot(2 * v0,v1 - 1)) == 0 }) -equal(0000,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) }) -equal(0000,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 * dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) + (0 * dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (0 / dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0) == 0 }) -equal(true,~{ const var n := 3; var v0[n] := {1,2,3}; var v1[n] := {7,8,9}; (dot(v0 - v1,v1 / v0) * 0) + (0 / dot(v0 - v1,v1 / v0)) == 0 }) -equal(true,~{var a := 2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := 2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := 2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := 2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := 2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := 2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := 2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := 2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := 2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := 2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := -2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := -2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := -2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := -2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := -2; var b := 3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(true,~{var a := -2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpby (a,xx,b,yy); yy == (a * xx + b * yy_ )}); -equal(true,~{var a := -2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpy (a,xx,yy); yy == (a * xx + yy_ )}); -equal(true,~{var a := -2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbyz(a,xx,b,yy,zz); zz == (a * xx + b * yy )}); -equal(true,~{var a := -2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpbz (a,xx,b,zz); zz == (a * xx + b )}); -equal(true,~{var a := -2; var b := -3; const var n := 4; var xx[n] := {1,2,3,4}; var yy[n] := {5,6,7,8}; var yy_[n] := yy; var zz[n] := {0,0,0,0}; axpyz (a,xx,yy,zz); zz == (a * xx + yy )}); -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,0); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,3,4,5,6,7}; assign(v0,1,0,2); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,5,6,7}; assign(v0,1,0,4); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,6,7}; assign(v0,1,0,5); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,7}; assign(v0,1,0,6); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,1,1,1}; assign(v0,1,1,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,1,1,1}; assign(v0,1,2,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,1,1,1,1,1}; assign(v0,1,3,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,1,1,1}; assign(v0,1,5,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,1,1}; assign(v0,1,6,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,6,1}; assign(v0,1,7,7); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,0,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,2,3,4,5,6,7}; assign(v0,1,0,1,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,3,4,5,6,7}; assign(v0,1,0,2,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,5,6,7}; assign(v0,1,0,4,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,6,7}; assign(v0,1,0,5,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,7}; assign(v0,1,0,6,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,1,1,1,1}; assign(v0,1,0,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,1,1,1}; assign(v0,1,1,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,1,1,1}; assign(v0,1,2,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,1,1,1,1,1}; assign(v0,1,3,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,1,1,1}; assign(v0,1,5,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,1,1}; assign(v0,1,6,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,6,1}; assign(v0,1,7,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,1,4,5,6,7}; assign(v0,1,0,3,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,5,6,7}; assign(v0,1,1,4,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,1,1,1,6,7}; assign(v0,1,2,5,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,1,1,1,1,7}; assign(v0,1,3,6,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,1,1,1,1}; assign(v0,1,4,7,1); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,1,3,1,5,1,7}; assign(v0,1,0,7,2); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,1,4,1,6,1}; assign(v0,1,1,7,2); all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; v0 := 0; all_false(v0)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,1,2,3,4,5,6,7}; v0 := 0; all_false(v0)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,2,3,4,5,6,7,8}; v0 := 0; iota(v0,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,2,4,6,8,10,12,14}; v0 := 0; iota(v0,0,2) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,3,6,9,12,15,18,21}; v0 := 0; iota(v0,0,3) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,2,3,4,5,6,7,8}; iota(v0,0,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,6,7}; iota(v0,1,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,1,2,3,4,5,6}; iota(v0,2,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,1,2,3,4,5}; iota(v0,3,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,1,2,3,4}; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,1,2,3}; iota(v0,5,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,1,2}; iota(v0,6,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,6,1}; iota(v0,7,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,2,3,4,5,6,7,8}; v0 := 0; iota(v0,0,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,5,6,7}; v0 := 0; iota(v0,1,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,1,2,3,4,5,6}; v0 := 0; iota(v0,2,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,1,2,3,4,5}; v0 := 0; iota(v0,3,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,0,1,2,3,4}; v0 := 0; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,0,0,1,2,3}; v0 := 0; iota(v0,5,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,0,0,0,1,2}; v0 := 0; iota(v0,6,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,0,0,0,0,1}; v0 := 0; iota(v0,7,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {1,2,3,4,0,0,0,0}; v0 := 0; iota(v0,0,3,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,1,2,3,4,0,0,0}; v0 := 0; iota(v0,1,4,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,1,2,3,4,0,0}; v0 := 0; iota(v0,2,5,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,1,2,3,4,0}; v0 := 0; iota(v0,3,6,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v0[n] := {0,1,2,3,4,5,6,7}; var v1[n] := {0,0,0,0,1,2,3,4}; v0 := 0; iota(v0,4,7,1,1) all_true(v0 == v1)},true) -equal(~{const var n := 8; var v[n] := {1,1,1,1,1,1,1,1}; sumk(v) == 8},true) -equal(~{const var n := 8; var v[n] := {1,1,1,1,1,1,1,1}; sumk(v,0,v[] - 1) == 8},true) -equal(~{const var n := 8; var v[n] := {1,1,1,1,1,1,1,1}; sumk(v,0,v[] - 1,1) == 8},true) -equal(~{const var n := 8; var v[n] := {1,0,1,0,1,0,1,0}; sumk(v,0,v[] - 1,2) == 4},true) -equal(~{const var n := 8; var v[n] := {0,1,0,1,0,1,0,1}; sumk(v,1,v[] - 1,2) == 4},true) -equal(~{const var n := 8; var v[n] := {1,1,1,1,1,1,1,1}; var u[n] := [null]; var ww[n] := {0,0,0,0,0,0,0,0}; diff(v,u); u[0] := 0; all_true(u == ww)},true) -equal(~{const var n := 8; var v[n] := {1,2,3,4,5,6,7,8}; var u[n] := [null]; var ww[n] := {0,0,2,2,2,2,2,2}; diff(v,u,2); u[0] := 0; u[1] := 0; all_true(u == ww)},true) -equal(~{const var n := 8; var v[n] := [v[]]; sumk(v) == v[]^2},true) -equal(~{const var n := 8; var v[n] := [v[]]; sumk(v,0,v[] - 1) == v[]^2},true) -equal(~{const var n := 8; var v[n] := [v[]]; sumk(v,0,v[] - 1,1) == v[]^2},true) -equal(true,~{const var n := 3; var v[n] := [0]; (v[0] == 0) and (v[1] == 0) and (v[2] == 0)}) -equal(true,~{const var n := 3; var v[n] := [1]; (v[0] == 1) and (v[1] == 1) and (v[2] == 1)}) -equal(true,~{var xx := 4; const var n := 3; var v[n] := [xx / 2]; (v[0] == 2) and (v[1] == 2) and (v[2] == 2)}) -equal(true,~{const var n := 3; var v[n] := [0 : +1]; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)}) -equal(true,~{const var n := 3; var v[n] := [0 : -1]; (v[0] == 0) and (v[1] == -1) and (v[2] == -2)}) -equal(true,~{var xx := +4; const var n := 3; var v[n] := [0 : xx / 2]; (v[0] == 0) and (v[1] == 2) and (v[2] == 4)}) -equal(true,~{var xx := -4 ;const var n := 3; var v[n] := [0 : xx / 2]; (v[0] == 0) and (v[1] == -2) and (v[2] == -4)}) -equal(true,~{var xx := +4; const var n := 3; var v[n] := [xx / 2 : +3]; (v[0] == 2) and (v[1] == 5) and (v[2] == 8)}) -equal(true,~{var xx := +4; const var n := 3; var v[n] := [xx / 2 : -3]; (v[0] == 2) and (v[1] == -1) and (v[2] == -4)}) -equal(true,~{var xx := +6; const var n := 3; var v[n] := [xx / 2 : xx / 3]; (v[0] == +3) and (v[1] == +5) and (v[2] == +7)}) -equal(true,~{var xx := -6; const var n := 3; var v[n] := [xx / 2 : xx / 3]; (v[0] == -3) and (v[1] == -5) and (v[2] == -7)}) -equal(true,~{const var n := 3; var v[n] := {0,1,2}; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)}) -equal(true,~{const var n := 6; var v[n] := { 0, 1, 2, 3, 4, 5 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 4) and (v[5] == 5)}) -equal(true,~{const var n := 6; var v[n] := { 0, 1, 2, 3, 4 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 4) and (v[5] == 0)}) -equal(true,~{const var n := 6; var v[n] := { 0, 1, 2, 3 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 3) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{const var n := 6; var v[n] := { 0, 1, 2 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 2) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{const var n := 6; var v[n] := { 0, 1 }; (v[0] == 0) and (v[1] == 1) and (v[2] == 0) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{const var n := 6; var v[n] := { 0 }; (v[0] == 0) and (v[1] == 0) and (v[2] == 0) and (v[3] == 0) and (v[4] == 0) and (v[5] == 0)}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3, v[] + 4, v[] + 5 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == v[] + 4) and (v[5] == v[] + 5)}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3, v[] + 4 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == v[] + 4) and (v[5] == 0 )}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0, v[] + 1, v[] + 2, v[] + 3 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == v[] + 3) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0, v[] + 1, v[] + 2 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == v[] + 2) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0, v[] + 1 }; (v[0] == v[] + 0) and (v[1] == v[] + 1) and (v[2] == 0 ) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{const var n := 6; var v[n] := { v[] + 0 }; (v[0] == v[] + 0) and (v[1] == 0 ) and (v[2] == 0 ) and (v[3] == 0 ) and (v[4] == 0 ) and (v[5] == 0 )}) -equal(true,~{const var n := 3; var v[n] := [v[]]; (v[0] == v[]) and (v[1] == v[]) and (v[2] == v[])}) -equal(true,~{var xx := 2; const var n := 3; var v[n] := [v[] / xx]; (v[0] == v[] / xx) and (v[1] == v[] / xx) and (v[2] == v[] / xx)}) -equal(true,~{const var n := 3; var v[n] := [0 : +v[]]; (v[0] == 0) and (v[1] == v[]) and (v[2] == 2v[])}) -equal(true,~{const var n := 3; var v[n] := [0 : -v[]]; (v[0] == 0) and (v[1] == -v[]) and (v[2] == -2v[])}) -equal(true,~{var xx := +4; const var n := 3; var v[n] := [0 : +v[]]; (v[0] == 0) and (v[1] == v[]) and (v[2] == 2v[])}) -equal(true,~{var xx := +4; const var n := 3; var v[n] := [0 : -v[]]; (v[0] == 0) and (v[1] == -v[]) and (v[2] == -2v[])}) -equal(true,~{var xx := +1; const var n := 3; var v[n] := [0 : v[] / xx]; (v[0] == 0) and (v[1] == 3) and (v[2] == 6)}) -equal(true,~{var xx := -1 ;const var n := 3; var v[n] := [0 : v[] / xx]; (v[0] == 0) and (v[1] == -3) and (v[2] == -6)}) -equal(true,~{const var n := 3; var v[n] := { v[], v[] + 1, v[] + 2 }; (v[0] == 3) and (v[1] == 4) and (v[2] == 5)}) -equal(true,~{const var n := 1; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 100; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1000; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10000; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 100; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1000; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10000; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 100; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1000; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10000; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 100; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1000; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10000; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 100; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1000; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10000; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 100; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1000; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10000; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 11; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 101; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1001; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10001; var v[n]; iota(v, 1); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 11; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 101; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1001; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 10001; var v[n] := [1:1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var n := 1; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 11; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 101; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1001; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10001; var v[n]; iota(v, 2, 2); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 11; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 101; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1001; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 10001; var v[n] := [2:2]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var n := 1; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 11; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 101; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1001; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10001; var v[n]; iota(v, 1, 2); equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 11; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 101; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 1001; var v[n] := [1:2]; equal(sum(v),v[]^2)}) -equal(true,~{const var n := 10001; var v[n] := [1:2]; 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equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 10; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 100; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1000; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 10; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 100; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1000; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 10; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 100; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1000; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1; var v[n]; iota(v, xx - 1, 4 / 2); equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 10; var v[n]; iota(v, xx - 1, 4 / 2); equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 100; var v[n]; iota(v, xx - 1, 4 / 2); equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 1000; var v[n]; iota(v, xx - 1, 4 / 2); equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n]; iota(v, xx - 1, 4 / 2); equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n] := [xx - 1 : 4 / xx]; equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 10; var v[n] := [xx - 1 : 4 / xx]; equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 100; var v[n] := [xx - 1 : 4 / xx]; equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 1000; var v[n] := [xx - 1 : 4 / xx]; equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 10000; var v[n] := [xx - 1 : 4 / xx]; equal(sum(v),v[]^2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 11; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 101; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1001; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 10001; var v[n]; iota(v, xx / 2); equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 11; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 101; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1001; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 10001; var v[n] := [xx / 2 : xx - 1]; equal(sum(v),(v[]^2 + v[]) / 2)}) -equal(true,~{const var xx := 2; const var n := 1; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 11; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 101; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1001; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 10001; var v[n]; iota(v, xx, 4 / xx); equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 1; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 11; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 2; const var n := 101; var v[n] := [2:4 / xx]; equal(sum(v),(v[]^2 + v[]))}) -equal(true,~{const var xx := 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var xx := (if (t > 0) { result := 2 } else { result := 4} > if (t > 0) result := 3;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} >= if (t > 0) result := 3;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} < if (t > 0) result := 3;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} <= if (t > 0) result := 3;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} == if (t > 0) result := 3;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } + if (t > 0) { result := 3 } else result := 4;); xx == 5}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 3 } - if (t > 0) { result := 2 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } * if (t > 0) { result := 3 } else result := 4;); xx == 6}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 6 } / if (t > 0) { result := 3 } else result := 4;); xx == 2}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } ^ if (t > 0) { result := 3 } else result := 4;); xx == 8}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 7 } % if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } > if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } >= if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } < if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } <= if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } == if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} + if (t > 0) { result := 3 } else result := 4;); xx == 5}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 3 } else { result := 4} - if (t > 0) { result := 2 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} * if (t > 0) { result := 3 } else result := 4;); xx == 6}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 6 } else { result := 4} / if (t > 0) { result := 3 } else result := 4;); xx == 2}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} ^ if (t > 0) { result := 3 } else result := 4;); xx == 8}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 7 } else { result := 4} % if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} > if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} >= if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} < if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} <= if (t > 0) { result := 3 } else result := 4;); xx == 1}) -equal(true,~{var result := 0; var t := 1; var xx := (if (t > 0) { result := 2 } else { result := 4} == if (t > 0) { result := 3 } else result := 4;); xx == 0}) -equal(true,~{var result := (if (true) { 1 }); result == 1}) -equal(true,~{var result := cos(if (true) { 0 }); result == 1}) -equal(true,~{var result := if (true) { 1 } ? 1 : 0; result == 1}) -equal(true,if (true) { 1 } ? 1 : 0 == 1) -equal(true,if (true) { 1 } else { 0 } ? 1 : 0 == 1) -equal(true,(if (true) { 1 } else 0;) ? 1 : 0 == 1) -equal(true,if (true) 1; else { 0 } ? 1 : 0 == 1) -equal(true,(if (true) 1; else 0;) ? 1 : 0 == 1) \ No newline at end of file diff --git a/exprtk_simple_example_01.cpp b/exprtk_simple_example_01.cpp deleted file mode 100644 index 52c5565..0000000 --- a/exprtk_simple_example_01.cpp +++ /dev/null @@ -1,59 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 01 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void trig_function() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - "clamp(-1.0, sin(2 * pi * x) + cos(x / 2 * pi), +1.0)"; - - T x; - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - for (x = T(-5); x <= T(+5); x += T(0.001)) - { - const T y = expression.value(); - printf("%19.15f\t%19.15f\n", x, y); - } -} - -int main() -{ - trig_function(); - return 0; -} diff --git a/exprtk_simple_example_02.cpp b/exprtk_simple_example_02.cpp deleted file mode 100644 index 279046a..0000000 --- a/exprtk_simple_example_02.cpp +++ /dev/null @@ -1,74 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 02 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void square_wave() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - "a *(4 / pi) * " - "((1 / 1) * sin( 2 * pi * f * t) + (1 / 3) * sin( 6 * pi * f * t) + " - " (1 / 5) * sin(10 * pi * f * t) + (1 / 7) * sin(14 * pi * f * t) + " - " (1 / 9) * sin(18 * pi * f * t) + (1 / 11) * sin(22 * pi * f * t) + " - " (1 / 13) * sin(26 * pi * f * t) + (1 / 15) * sin(30 * pi * f * t) + " - " (1 / 17) * sin(34 * pi * f * t) + (1 / 19) * sin(38 * pi * f * t) + " - " (1 / 21) * sin(42 * pi * f * t) + (1 / 23) * sin(46 * pi * f * t) + " - " (1 / 25) * sin(50 * pi * f * t) + (1 / 27) * sin(54 * pi * f * t)) "; - - static const T pi = T(3.141592653589793238462643383279502); - - const T f = pi / T(10); - const T a = T(10); - T t = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("t",t); - symbol_table.add_constant("f",f); - symbol_table.add_constant("a",a); - symbol_table.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - const T delta = (T(4) * pi) / T(1000); - - for (t = (T(-2) * pi); t <= (T(+2) * pi); t += delta) - { - const T result = expression.value(); - printf("%19.15f\t%19.15f\n", t, result); - } -} - -int main() -{ - square_wave(); - return 0; -} diff --git a/exprtk_simple_example_03.cpp b/exprtk_simple_example_03.cpp deleted file mode 100644 index 3b8ad07..0000000 --- a/exprtk_simple_example_03.cpp +++ /dev/null @@ -1,61 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 03 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void polynomial() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - "25x^5 - 35x^4 - 15x^3 + 40x^2 - 15x + 1"; - - const T r0 = T(0); - const T r1 = T(1); - T x = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - const T delta = T(1.0 / 100.0); - - for (x = r0; x <= r1; x += delta) - { - printf("%19.15f\t%19.15f\n", x, expression.value()); - } -} - -int main() -{ - polynomial(); - return 0; -} diff --git a/exprtk_simple_example_04.cpp b/exprtk_simple_example_04.cpp deleted file mode 100644 index 04a4b3f..0000000 --- a/exprtk_simple_example_04.cpp +++ /dev/null @@ -1,90 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 04 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void fibonacci() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - T x = T(0); - - compositor_t compositor; - - compositor.add( - function_t("fibonacci") - .var("x") - .expression - ( - " switch " - " { " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default : " - " { " - " var prev := 0; " - " var curr := 1; " - " while ((x -= 1) > 0) " - " { " - " var temp := prev; " - " prev := curr; " - " curr += temp; " - " }; " - " }; " - " } " - )); - - symbol_table_t& symbol_table = compositor.symbol_table(); - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - std::string expression_str = "fibonacci(x)"; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_str,expression); - - for (std::size_t i = 0; i < 40; ++i) - { - x = static_cast(i); - - const T result = expression.value(); - - printf("fibonacci(%3d) = %10.0f\n", - static_cast(i), - result); - } -} - -int main() -{ - fibonacci(); - return 0; -} diff --git a/exprtk_simple_example_05.cpp b/exprtk_simple_example_05.cpp deleted file mode 100644 index 3eb4a4f..0000000 --- a/exprtk_simple_example_05.cpp +++ /dev/null @@ -1,82 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 05 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -struct myfunc : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - myfunc() - : exprtk::ifunction(2) - { exprtk::disable_has_side_effects(*this); } - - T operator()(const T& v1, const T& v2) - { - return T(1) + (v1 * v2) / T(3); - } -}; - -template -T myotherfunc(T v0, T v1, T v2) -{ - return std::abs(v0 - v1) * v2; -} - -template -void custom_function() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - "myfunc(sin(x / pi), otherfunc(3 * y, x / 2, x * y))"; - - T x = T(1); - T y = T(2); - myfunc mf; - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_function("myfunc",mf); - symbol_table.add_function("otherfunc",myotherfunc); - symbol_table.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - const T result = expression.value(); - printf("Result: %10.5f\n",result); -} - -int main() -{ - custom_function(); - return 0; -} diff --git a/exprtk_simple_example_06.cpp b/exprtk_simple_example_06.cpp deleted file mode 100644 index dbb805d..0000000 --- a/exprtk_simple_example_06.cpp +++ /dev/null @@ -1,61 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 06 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void vector_function() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - " for (var i := 0; i < min(x[], y[], z[]); i += 1) " - " { " - " z[i] := 3sin(x[i]) + 2log(y[i]); " - " } "; - - T x[] = { T(1.1), T(2.2), T(3.3), T(4.4), T(5.5) }; - T y[] = { T(1.1), T(2.2), T(3.3), T(4.4), T(5.5) }; - T z[] = { T(0.0), T(0.0), T(0.0), T(0.0), T(0.0) }; - - symbol_table_t symbol_table; - symbol_table.add_vector("x",x); - symbol_table.add_vector("y",y); - symbol_table.add_vector("z",z); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - expression.value(); -} - -int main() -{ - vector_function(); - return 0; -} diff --git a/exprtk_simple_example_07.cpp b/exprtk_simple_example_07.cpp deleted file mode 100644 index 85e94f1..0000000 --- a/exprtk_simple_example_07.cpp +++ /dev/null @@ -1,72 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 07 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void logic() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = "not(A and B) or C"; - - symbol_table_t symbol_table; - symbol_table.create_variable("A"); - symbol_table.create_variable("B"); - symbol_table.create_variable("C"); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - printf(" # | A | B | C | %s\n" - "---+---+---+---+-%s\n", - expression_string.c_str(), - std::string(expression_string.size(),'-').c_str()); - - for (int i = 0; i < 8; ++i) - { - symbol_table.get_variable("A")->ref() = T((i & 0x01) ? 1 : 0); - symbol_table.get_variable("B")->ref() = T((i & 0x02) ? 1 : 0); - symbol_table.get_variable("C")->ref() = T((i & 0x04) ? 1 : 0); - - const int result = static_cast(expression.value()); - - printf(" %d | %d | %d | %d | %d \n", - i, - static_cast(symbol_table.get_variable("A")->value()), - static_cast(symbol_table.get_variable("B")->value()), - static_cast(symbol_table.get_variable("C")->value()), - result); - } -} - -int main() -{ - logic(); - return 0; -} diff --git a/exprtk_simple_example_08.cpp b/exprtk_simple_example_08.cpp deleted file mode 100644 index f82b992..0000000 --- a/exprtk_simple_example_08.cpp +++ /dev/null @@ -1,93 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 08 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void composite() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::parser_error::type err_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - T x = T(1); - T y = T(2); - - compositor_t compositor; - - symbol_table_t& symbol_table = compositor.symbol_table(); - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - compositor.add( - function_t("f") // f(x) = sin(x / pi) - .var("x") - .expression( "sin(x / pi)" )); - - compositor.add( - function_t("g") // g(x,y) = 3[f(x) + f(y)] - .vars("x", "y") - .expression( "3*[f(x) + f(y)]" )); - - std::string expression_string = "g(1 + f(x), f(y) / 2)"; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_string,expression)) - { - printf("Error: %s\tExpression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - const err_t error = parser.get_error(i); - - printf("Error: %02d Position: %02d Type: [%14s] Msg: %s\tExpression: %s\n", - static_cast(i), - static_cast(error.token.position), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str(), - expression_string.c_str()); - } - - return; - } - - const T result = expression.value(); - - printf("%s = %e\n", expression_string.c_str(), result); -} - -int main() -{ - composite(); - return 0; -} diff --git a/exprtk_simple_example_09.cpp b/exprtk_simple_example_09.cpp deleted file mode 100644 index f7cd0f2..0000000 --- a/exprtk_simple_example_09.cpp +++ /dev/null @@ -1,180 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 09 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void primes() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - T x = T(0); - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - compositor_t compositor(symbol_table); - - //Mode 1 - if statement based - compositor.add( - function_t("is_prime_impl1") - .vars("x", "y") - .expression - ( - " if (y == 1,true, " - " if (0 == (x % y),false, " - " is_prime_impl1(x,y - 1))) " - )); - - compositor.add( - function_t("is_prime1") - .var("x") - .expression - ( - " if (frac(x) != 0) " - " return [false]; " - " else if (x <= 0) " - " return [false]; " - " else " - " is_prime_impl1(x,min(x - 1,trunc(sqrt(x)) + 1)); " - )); - - //Mode 2 - switch statement based - compositor.add( - function_t("is_prime_impl2") - .vars("x", "y") - .expression - ( - " switch " - " { " - " case y == 1 : true; " - " case (x % y) == 0 : false; " - " default : is_prime_impl2(x,y - 1); " - " } " - )); - - compositor.add( - function_t("is_prime2") - .var("x") - .expression - ( - " switch " - " { " - " case x <= 0 : false; " - " case frac(x) != 0 : false; " - " default : is_prime_impl2(x,min(x - 1,trunc(sqrt(x)) + 1)); " - " } " - )); - - //Mode 3 - switch statement and for-loop based - compositor.add( - function_t("is_prime3") - .var("x") - .expression - ( - " switch " - " { " - " case x <= 1 : return [false]; " - " case frac(x) != 0 : return [false]; " - " case x == 2 : return [true ]; " - " }; " - " " - " var prime_lut[27] := " - " { " - " 2, 3, 5, 7, 11, 13, 17, 19, 23, " - " 29, 31, 37, 41, 43, 47, 53, 59, 61, " - " 67, 71, 73, 79, 83, 89, 97, 101, 103 " - " }; " - " " - " var upper_bound := min(x - 1, trunc(sqrt(x)) + 1); " - " " - " for (var i := 0; i < prime_lut[]; i += 1) " - " { " - " if (prime_lut[i] >= upper_bound) " - " return [true]; " - " else if ((x % prime_lut[i]) == 0) " - " return [false]; " - " }; " - " " - " var lower_bound := prime_lut[prime_lut[] - 1] + 2; " - " " - " for (var i := lower_bound; i < upper_bound; i += 2) " - " { " - " if ((x % i) == 0) " - " { " - " return [false]; " - " } " - " }; " - " " - " return [true]; " - )); - - std::string expression_str1 = "is_prime1(x)"; - std::string expression_str2 = "is_prime2(x)"; - std::string expression_str3 = "is_prime3(x)"; - - expression_t expression1; - expression_t expression2; - expression_t expression3; - expression1.register_symbol_table(symbol_table); - expression2.register_symbol_table(symbol_table); - expression3.register_symbol_table(symbol_table); - - parser_t parser; - - parser.compile(expression_str1, expression1); - parser.compile(expression_str2, expression2); - parser.compile(expression_str3, expression3); - - for (std::size_t i = 0; i < 15000; ++i) - { - x = static_cast(i); - - const T result1 = expression1.value(); - const T result2 = expression2.value(); - const T result3 = expression3.value(); - - const bool results_concur = (result1 == result2) && - (result1 == result3) ; - - printf("%03d Result1: %c Result2: %c Result3: %c " - "Results Concur: %c\n", - static_cast(i), - (result1 == T(1)) ? 'T' : 'F', - (result2 == T(1)) ? 'T' : 'F', - (result3 == T(1)) ? 'T' : 'F', - (results_concur) ? 'T' : 'F'); - } -} - -int main() -{ - primes(); - return 0; -} diff --git a/exprtk_simple_example_10.cpp b/exprtk_simple_example_10.cpp deleted file mode 100644 index 87b4058..0000000 --- a/exprtk_simple_example_10.cpp +++ /dev/null @@ -1,97 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 10 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include - -#include "exprtk.hpp" - - -template -void newton_sqrt() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - T x = T(0); - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - compositor_t compositor(symbol_table); - - compositor.add( - function_t("newton_sqrt") - .var("x") - .expression - ( - " switch " - " { " - " case x < 0 : null; " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default: " - " { " - " var z := 100; " - " var sqrt_x := x / 2; " - " repeat " - " if (equal(sqrt_x^2, x)) " - " break[sqrt_x]; " - " else " - " sqrt_x := (1 / 2) * (sqrt_x + (x / sqrt_x)); " - " until ((z -= 1) <= 0); " - " }; " - " } " - )); - - const std::string expression_str = "newton_sqrt(x)"; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_str,expression); - - for (std::size_t i = 0; i < 1000; ++i) - { - x = static_cast(i); - - const T result = expression.value(); - const T real = std::sqrt(x); - const T error = std::abs(result - real); - - printf("sqrt(%03d) - Result: %15.13f\tReal: %15.13f\tError: %18.16f\n", - static_cast(i), - result, - real, - error); - } -} - -int main() -{ - newton_sqrt(); - return 0; -} diff --git a/exprtk_simple_example_11.cpp b/exprtk_simple_example_11.cpp deleted file mode 100644 index 8a26fb5..0000000 --- a/exprtk_simple_example_11.cpp +++ /dev/null @@ -1,74 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 11 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void square_wave2() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string wave_program = - " var r := 0; " - " " - " for (var i := 0; i < 1000; i += 1) " - " { " - " r += (1 / (2i + 1)) * sin((4i + 2) * pi * f * t); " - " }; " - " " - " r *= a * (4 / pi); "; - - static const T pi = T(3.141592653589793238462643383279502); - - T f = pi / T(10); - T t = T(0); - T a = T(10); - - symbol_table_t symbol_table; - symbol_table.add_variable("f",f); - symbol_table.add_variable("t",t); - symbol_table.add_variable("a",a); - symbol_table.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(wave_program,expression); - - const T delta = (T(4) * pi) / T(1000); - - for (t = (T(-2) * pi); t <= (T(+2) * pi); t += delta) - { - const T result = expression.value(); - printf("%19.15f\t%19.15f\n", t, result); - } -} - -int main() -{ - square_wave2(); - return 0; -} diff --git a/exprtk_simple_example_12.cpp b/exprtk_simple_example_12.cpp deleted file mode 100644 index 8045de4..0000000 --- a/exprtk_simple_example_12.cpp +++ /dev/null @@ -1,69 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 12 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include - -#include "exprtk.hpp" - - -template -void bubble_sort() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string bubblesort_program = - " var upper_bound := v[]; " - " " - " repeat " - " var new_upper_bound := 0; " - " " - " for (var i := 1; i < upper_bound; i += 1) " - " { " - " if (v[i - 1] > v[i]) " - " { " - " v[i - 1] <=> v[i]; " - " new_upper_bound := i; " - " }; " - " }; " - " " - " upper_bound := new_upper_bound; " - " " - " until (upper_bound <= 1); "; - - T v[] = { T(9.1), T(2.2), T(1.3), T(5.4), T(7.5), T(4.6), T(3.7) }; - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(bubblesort_program,expression); - - expression.value(); -} - -int main() -{ - bubble_sort(); - return 0; -} diff --git a/exprtk_simple_example_13.cpp b/exprtk_simple_example_13.cpp deleted file mode 100644 index cebdf73..0000000 --- a/exprtk_simple_example_13.cpp +++ /dev/null @@ -1,101 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 13 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include - -#include "exprtk.hpp" - - -template -void savitzky_golay_filter() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string sgfilter_program = - " var weight[9] := " - " { " - " -21, 14, 39, " - " 54, 59, 54, " - " 39, 14, -21 " - " }; " - " " - " if (v_in[] >= weight[]) " - " { " - " const var lower_bound := trunc(weight[] / 2); " - " const var upper_bound := v_in[] - lower_bound; " - " " - " v_out := 0; " - " " - " for (var i := lower_bound; i < upper_bound; i += 1) " - " { " - " for (var j := -lower_bound; j <= lower_bound; j += 1) " - " { " - " v_out[i] += weight[j + lower_bound] * v_in[i + j]; " - " }; " - " }; " - " " - " v_out /= sum(weight); " - " } "; - - const std::size_t n = 1024; - - std::vector v_in; - std::vector v_out; - - const T pi = T(3.141592653589793238462643383279502); - - srand(static_cast(time(0))); - - // Generate a signal with noise. - for (T t = T(-5); t <= T(+5); t += T(10.0 / n)) - { - const T noise = T(0.5 * (rand() / (RAND_MAX + 1.0) - 0.5)); - v_in.push_back(sin(2.0 * pi * t) + noise); - } - - v_out.resize(v_in.size()); - - symbol_table_t symbol_table; - symbol_table.add_vector("v_in" , v_in ); - symbol_table.add_vector("v_out", v_out); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(sgfilter_program,expression); - - expression.value(); - - for (std::size_t i = 0; i < v_out.size(); ++i) - { - printf("%10.6f\t%10.6f\n", v_in[i], v_out[i]); - } -} - -int main() -{ - savitzky_golay_filter(); - return 0; -} diff --git a/exprtk_simple_example_14.cpp b/exprtk_simple_example_14.cpp deleted file mode 100644 index 56208e1..0000000 --- a/exprtk_simple_example_14.cpp +++ /dev/null @@ -1,57 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 14 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void stddev_example() -{ - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string stddev_program = - " var x[25] := { " - " 1, 2, 3, 4, 5, " - " 6, 7, 8, 9, 10, " - " 11, 12, 13, 14, 15, " - " 16, 17, 18, 19, 20, " - " 21, 22, 23, 24, 25 " - " }; " - " " - " sqrt(sum([x - avg(x)]^2) / x[]) "; - - expression_t expression; - - parser_t parser; - parser.compile(stddev_program,expression); - - const T stddev = expression.value(); - - printf("stddev(1..25) = %10.6f\n",stddev); -} - -int main() -{ - stddev_example(); - return 0; -} diff --git a/exprtk_simple_example_15.cpp b/exprtk_simple_example_15.cpp deleted file mode 100644 index 3dc6d4d..0000000 --- a/exprtk_simple_example_15.cpp +++ /dev/null @@ -1,95 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 15 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void black_scholes_merton_model() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string bsm_model_program = - " var d1 := (log(s / k) + (r + v^2 / 2) * t) / (v * sqrt(t)); " - " var d2 := d1 - v * sqrt(t); " - " " - " if (callput_flag == 'call') " - " s * ncdf(d1) - k * e^(-r * t) * ncdf(d2); " - " else if (callput_flag == 'put') " - " k * e^(-r * t) * ncdf(-d2) - s * ncdf(-d1); " - " "; - - T s = T(60.00); // Spot / Stock / Underlying / Base price - T k = T(65.00); // Strike price - T v = T( 0.30); // Volatility - T t = T( 0.25); // Years to maturity - T r = T( 0.08); // Risk free rate - - std::string callput_flag; - - static const T e = exprtk::details::numeric::constant::e; - - symbol_table_t symbol_table; - symbol_table.add_variable("s",s); - symbol_table.add_variable("k",k); - symbol_table.add_variable("t",t); - symbol_table.add_variable("r",r); - symbol_table.add_variable("v",v); - symbol_table.add_constant("e",e); - symbol_table.add_stringvar("callput_flag",callput_flag); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(bsm_model_program,expression); - - callput_flag = "call"; - - const T bsm_call_option_price = expression.value(); - - callput_flag = "put"; - - const T bsm_put_option_price = expression.value(); - - printf("BSM(call, %5.3f, %5.3f, %5.3f, %5.3f, %5.3f) = %10.6f\n", - s, k, t, r, v, - bsm_call_option_price); - - printf("BSM(put , %5.3f, %5.3f, %5.3f, %5.3f, %5.3f) = %10.6f\n", - s, k, t, r, v, - bsm_put_option_price); - - const T put_call_parity_diff = - (bsm_call_option_price - bsm_put_option_price) - - (s - k * std::exp(-r * t)); - - printf("Put-Call parity difference: %20.17f\n", put_call_parity_diff); -} - -int main() -{ - black_scholes_merton_model(); - return 0; -} diff --git a/exprtk_simple_example_16.cpp b/exprtk_simple_example_16.cpp deleted file mode 100644 index 13593db..0000000 --- a/exprtk_simple_example_16.cpp +++ /dev/null @@ -1,83 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 16 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include - -#include "exprtk.hpp" - - -template -void linear_least_squares() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string linear_least_squares_program = - " if (x[] == y[]) " - " { " - " beta := (sum(x * y) - sum(x) * sum(y) / x[]) / " - " (sum(x^2) - sum(x)^2 / x[]); " - " " - " alpha := avg(y) - beta * avg(x); " - " " - " rmse := sqrt(sum((beta * x + alpha - y)^2) / y[]); " - " } " - " else " - " { " - " alpha := null; " - " beta := null; " - " rmse := null; " - " } "; - - T x[] = {T( 1), T( 2), T(3), T( 4), T( 5), T(6), T( 7), T( 8), T( 9), T(10)}; - T y[] = {T(8.7), T(6.8), T(6), T(5.6), T(3.8), T(3), T(2.4), T(1.7), T(0.4), T(-1)}; - - T alpha = T(0); - T beta = T(0); - T rmse = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("alpha", alpha); - symbol_table.add_variable("beta" , beta ); - symbol_table.add_variable("rmse" , rmse ); - symbol_table.add_vector ("x" , x ); - symbol_table.add_vector ("y" , y ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(linear_least_squares_program,expression); - - expression.value(); - - printf("alpha: %15.12f\n", alpha); - printf("beta: %15.12f\n", beta ); - printf("rmse: %15.12f\n", rmse ); - printf("y = %15.12fx + %15.12f\n", beta, alpha); -} - -int main() -{ - linear_least_squares(); - return 0; -} diff --git a/exprtk_simple_example_17.cpp b/exprtk_simple_example_17.cpp deleted file mode 100644 index 2c2221c..0000000 --- a/exprtk_simple_example_17.cpp +++ /dev/null @@ -1,79 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 17 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include - -#include "exprtk.hpp" - - -template -struct rnd_01 : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - rnd_01() : exprtk::ifunction(0) - { ::srand(static_cast(time(NULL))); } - - inline T operator()() - { - // Note: Do not use this in production - // Result is in the interval [0,1) - return T(::rand() / T(RAND_MAX + 1.0)); - } -}; - -template -void monte_carlo_pi() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string monte_carlo_pi_program = - " var samples[2 * 10^8] := [(rnd_01^2 + rnd_01^2) <= 1]; " - " 4 * sum(samples) / samples[]; "; - - rnd_01 rnd01; - - symbol_table_t symbol_table; - symbol_table.add_function("rnd_01",rnd01); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(monte_carlo_pi_program,expression); - - const T approximate_pi = expression.value(); - - const T real_pi = T(3.141592653589793238462643383279502); // or close enough... - - printf("pi ~ %20.17f\terror: %20.17f\n", - approximate_pi, - std::abs(real_pi - approximate_pi)); -} - -int main() -{ - monte_carlo_pi(); - return 0; -} diff --git a/exprtk_simple_example_18.cpp b/exprtk_simple_example_18.cpp deleted file mode 100644 index f4c714b..0000000 --- a/exprtk_simple_example_18.cpp +++ /dev/null @@ -1,80 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 18 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void file_io() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string fileio_program = - " var file_name := 'file.txt'; " - " var stream := null; " - " " - " if (stream := open(file_name,'w')) " - " println('Successfully opened file: ' + file_name); " - " else " - " { " - " println('Failed to open file: ' + file_name); " - " return [false]; " - " }; " - " " - " var s := 'Hello world...\n'; " - " " - " for (var i := 0; i < 10; i += 1) " - " { " - " write(stream,s); " - " }; " - " " - " if (close(stream)) " - " println('Sucessfully closed file: ' + file_name); " - " else " - " { " - " println('Failed to close file: ' + file_name); " - " return [false]; " - " } "; - - exprtk::rtl::io::file::package fileio_package; - exprtk::rtl::io::println println; - - symbol_table_t symbol_table; - symbol_table.add_function("println",println); - symbol_table.add_package (fileio_package ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(fileio_program,expression); - - printf("Result %10.3f\n",expression.value()); -} - -int main() -{ - file_io(); - return 0; -} diff --git a/exprtk_simple_example_19.cpp b/exprtk_simple_example_19.cpp deleted file mode 100644 index 0aac6fc..0000000 --- a/exprtk_simple_example_19.cpp +++ /dev/null @@ -1,131 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 19 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include - -#include "exprtk.hpp" - - -template -class randu : public exprtk::igeneric_function -{ -public: - - typedef typename exprtk::igeneric_function igfun_t; - typedef typename igfun_t::parameter_list_t parameter_list_t; - typedef typename igfun_t::generic_type generic_type; - typedef typename generic_type::vector_view vector_t; - - using exprtk::igeneric_function::operator(); - - randu() - : exprtk::igeneric_function("V|VTT") - /* - Overloads: - 0. V - vector - 1. VTT - vector, r0, r1 - */ - { ::srand(static_cast(time(NULL))); } - - inline T operator()(const std::size_t& ps_index, parameter_list_t parameters) - { - vector_t v(parameters[0]); - - std::size_t r0 = 0; - std::size_t r1 = v.size() - 1; - - using namespace exprtk::rtl::vecops::helper; - - if ( - (1 == ps_index) && - !load_vector_range::process(parameters, r0, r1, 1, 2, 0) - ) - return T(0); - - for (std::size_t i = r0; i <= r1; ++i) - { - v[i] = rnd(); - } - - return T(1); - } - -private: - - inline T rnd() - { - // Note: Do not use this in production - // Result is in the interval [0,1) - return T(::rand() / T(RAND_MAX + 1.0)); - } -}; - -template -void vector_randu() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string vecrandu_program = - " var noise[6] := [0]; " - " " - " if (randu(noise,0,5) == false) " - " { " - " println('Failed to generate noise'); " - " return [false]; " - " }; " - " " - " var noisy[noise[]] := signal + (noise - 1/2); " - " " - " for (var i := 0; i < noisy[]; i += 1) " - " { " - " println('noisy[',i,'] = ', noisy[i]); " - " }; " - " " - " println('avg: ', avg(noisy)); " - " "; - - T signal[] = { T(1.1), T(2.2), T(3.3), T(4.4), T(5.5), T(6.6), T(7.7) }; - - exprtk::rtl::io::println println; - randu randu; - - symbol_table_t symbol_table; - symbol_table.add_vector ("signal" , signal ); - symbol_table.add_function("println", println); - symbol_table.add_function("randu" , randu ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(vecrandu_program,expression); - - expression.value(); -} - -int main() -{ - vector_randu(); - return 0; -} diff --git a/exprtk_simple_example_20.cpp b/exprtk_simple_example_20.cpp deleted file mode 100644 index 67e27e9..0000000 --- a/exprtk_simple_example_20.cpp +++ /dev/null @@ -1,109 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 20 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include - -#include "exprtk.hpp" - - -struct vector_access_rtc : public exprtk::vector_access_runtime_check -{ - typedef std::map map_t; - map_t vector_map; - - bool handle_runtime_violation(violation_context& context) - { - const map_t::iterator itr = vector_map.find(static_cast(context.base_ptr)); - std::string vector_name = (itr != vector_map.end()) ? - itr->second : "Unknown" ; - - printf("Runtime vector access violation\n" - "Vector: %s base: %p end: %p access: %p typesize: %d\n", - vector_name.c_str(), - context.base_ptr , - context.end_ptr , - context.access_ptr , - static_cast(context.type_size)); - - throw std::runtime_error - ("Runtime vector access violation. Vector: " + vector_name); - - return false; - } -}; - -template -void vector_overflow_example() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_str = - " for (var i := 0; i < max(v0[],v1[]); i += 1) " - " { " - " v0[i] := (2 * v0[i]) + (v1[i] / 3); " - " } "; - - T v0[5 ] = { 0, 1, 2, 3, 4 }; - T v1[10] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }; - - vector_access_rtc vec_rtc; - - vec_rtc.vector_map[v0] = "v0"; - vec_rtc.vector_map[v1] = "v1"; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_vector("v0", v0); - symbol_table.add_vector("v1", v1); - - expression.register_symbol_table(symbol_table); - - parser.register_vector_access_runtime_check(vec_rtc); - - try - { - if (!parser.compile(expression_str, expression)) - { - printf("Error: %s\tExpression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - return; - } - - expression.value(); - } - catch(std::runtime_error& exception) - { - printf("Exception: %s\n",exception.what()); - } -} - -int main() -{ - vector_overflow_example(); - return 0; -} diff --git a/exprtk_simple_example_21.cpp b/exprtk_simple_example_21.cpp deleted file mode 100644 index c631418..0000000 --- a/exprtk_simple_example_21.cpp +++ /dev/null @@ -1,117 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 21 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void binomial_option_pricing_model() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string european_option_binomial_model_program = - " var dt := t / n; " - " var z := exp(r * dt); " - " var z_inv := 1 / z; " - " var u := exp(v * sqrt(dt)); " - " var u_inv := 1 / u; " - " var p_up := (z - u_inv) / (u - u_inv); " - " var p_down := 1 - p_up; " - " " - " var option_price[n + 1] := [0]; " - " " - " for (var i := 0; i <= n; i += 1) " - " { " - " var base_price := s * u^(n - 2i); " - " option_price[i] := " - " switch " - " { " - " case callput_flag == 'call' : max(base_price - k, 0); " - " case callput_flag == 'put' : max(k - base_price, 0); " - " }; " - " }; " - " " - " for (var j := n - 1; j >= 0; j -= 1) " - " { " - " for (var i := 0; i <= j; i += 1) " - " { " - " option_price[i] := z_inv * " - " (p_up * option_price[i] + p_down * option_price[i + 1]); " - " } " - " }; " - " " - " option_price[0]; "; - - T s = T( 100.00); // Spot / Stock / Underlying / Base price - T k = T( 110.00); // Strike price - T v = T( 0.30); // Volatility - T t = T( 2.22); // Years to maturity - T r = T( 0.05); // Risk free rate - T n = T(1000.00); // Number of time steps - - std::string callput_flag; - - symbol_table_t symbol_table; - symbol_table.add_variable("s",s); - symbol_table.add_variable("k",k); - symbol_table.add_variable("t",t); - symbol_table.add_variable("r",r); - symbol_table.add_variable("v",v); - symbol_table.add_constant("n",n); - symbol_table.add_stringvar("callput_flag",callput_flag); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(european_option_binomial_model_program,expression); - - callput_flag = "call"; - - const T binomial_call_option_price = expression.value(); - - callput_flag = "put"; - - const T binomial_put_option_price = expression.value(); - - printf("BinomialPrice(call, %5.3f, %5.3f, %5.3f, %5.3f, %5.3f) = %10.6f\n", - s, k, t, r, v, - binomial_call_option_price); - - printf("BinomialPrice(put , %5.3f, %5.3f, %5.3f, %5.3f, %5.3f) = %10.6f\n", - s, k, t, r, v, - binomial_put_option_price); - - const T put_call_parity_diff = - (binomial_call_option_price - binomial_put_option_price) - - (s - k * std::exp(-r * t)); - - printf("Put-Call parity difference: %20.17f\n", put_call_parity_diff); -} - -int main() -{ - binomial_option_pricing_model(); - return 0; -} diff --git a/exprtk_simple_example_22.cpp b/exprtk_simple_example_22.cpp deleted file mode 100644 index f40969d..0000000 --- a/exprtk_simple_example_22.cpp +++ /dev/null @@ -1,144 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 22 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void compute_implied_volatility() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - const std::string implied_volatility_program = - " const var epsilon := 0.0000001; " - " const var max_iters := 1000; " - " " - " var v := 0.5; /* Initial volatility guess */ " - " var itr := 0; " - " " - " while ((itr += 1) <= max_iters) " - " { " - " var price := " - " switch " - " { " - " case callput_flag == 'call' : bsm_call(s, k, r, t, v); " - " case callput_flag == 'put' : bsm_put (s, k, r, t, v); " - " }; " - " " - " var price_diff := price - target_price; " - " " - " if (abs(price_diff) <= epsilon) " - " { " - " break; " - " }; " - " " - " v -= price_diff / vega(s, k, r, t, v); " - " }; " - " " - " itr <= max_iters ? v : null; "; - - T s = T( 100.00); // Spot / Stock / Underlying / Base price - T k = T( 110.00); // Strike price - T t = T( 2.22); // Years to maturity - T r = T( 0.05); // Risk free rate - T target_price = T( 0.00); - - std::string callput_flag; - - symbol_table_t symbol_table(symbol_table_t::e_immutable); - symbol_table.add_variable("s",s); - symbol_table.add_variable("k",k); - symbol_table.add_variable("t",t); - symbol_table.add_variable("r",r); - symbol_table.add_stringvar("callput_flag",callput_flag); - symbol_table.add_variable ("target_price",target_price); - symbol_table.add_pi(); - - compositor_t compositor(symbol_table); - - compositor.add( - function_t("bsm_call") - .vars("s", "k", "r", "t", "v") - .expression - ( - " var d1 := (log(s / k) + (r + v^2 / 2) * t) / (v * sqrt(t)); " - " var d2 := d1 - v * sqrt(t); " - " s * ncdf(d1) - k * exp(-r * t) * ncdf(d2); " - )); - - compositor.add( - function_t("bsm_put") - .vars("s", "k", "r", "t", "v") - .expression - ( - " var d1 := (log(s / k) + (r + v^2 / 2) * t) / (v * sqrt(t)); " - " var d2 := d1 - v * sqrt(t); " - " k * exp(-r * t) * ncdf(-d2) - s * ncdf(-d1); " - )); - - compositor.add( - function_t("vega") - .vars("s", "k", "r", "t", "v") - .expression - ( - " var d1 := (log(s / k) + (r + v^2 / 2) * t) / (v * sqrt(t)); " - " s * sqrt(t) * exp(-d1^2 / 2) / sqrt(2pi); " - )); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(implied_volatility_program,expression); - - { - callput_flag = "call"; - target_price = T(18.339502); - - const T implied_vol = expression.value(); - - printf("Call Option(s: %5.3f, k: %5.3f, t: %5.3f, r: %5.3f) " - "@ $%8.6f Implied volatility = %10.8f\n", - s, k, t, r, target_price, implied_vol); - } - - { - callput_flag = "put"; - target_price = T(16.782764); - - const T implied_vol = expression.value(); - - printf("Put Option(s: %5.3f, k: %5.3f, t: %5.3f, r: %5.3f) " - "@ $%8.6f Implied volatility = %10.8f\n", - s, k, t, r, target_price, implied_vol); - } -} - -int main() -{ - compute_implied_volatility(); - return 0; -} diff --git a/exprtk_simple_example_23.cpp b/exprtk_simple_example_23.cpp deleted file mode 100644 index 8828ece..0000000 --- a/exprtk_simple_example_23.cpp +++ /dev/null @@ -1,136 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 23 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -void real_1d_discrete_fourier_transform() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - const T sampling_rate = 1024.0; // ~1KHz - const T N = 8 * sampling_rate; // 8 seconds worth of samples - - std::vector input (static_cast(N),0.0); - std::vector output(static_cast(N),0.0); - - exprtk::rtl::io::println println; - - symbol_table_t symbol_table; - symbol_table.add_vector ("input" , input ); - symbol_table.add_vector ("output" , output ); - symbol_table.add_function ("println" , println ); - symbol_table.add_constant ("N" , N ); - symbol_table.add_constant ("sampling_rate", sampling_rate); - symbol_table.add_pi(); - - compositor_t compositor(symbol_table); - compositor.load_vectors(true); - - compositor.add( - function_t("dft_1d_real") - .var("N") - .expression - ( - " for (var k := 0; k < N; k += 1) " - " { " - " var k_real := 0.0; " - " var k_imag := 0.0; " - " " - " for (var i := 0; i < N; i += 1) " - " { " - " var theta := 2pi * k * i / N; " - " k_real += input[i] * cos(theta); " - " k_imag -= input[i] * sin(theta); " - " }; " - " " - " output[k] := hypot(k_real,k_imag); " - " } " - )); - - const std::string dft_program = - " " - " /* " - " Generate an aggregate waveform comprised of three " - " sine waves of varying frequencies and amplitudes. " - " */ " - " var frequencies[3] := { 100.0, 200.0, 300.0 }; /* Hz */ " - " var amplitudes [3] := { 10.0, 20.0, 30.0 }; /* Power */ " - " " - " for (var i := 0; i < N; i += 1) " - " { " - " var time := i / sampling_rate; " - " " - " for (var j := 0; j < frequencies[]; j += 1) " - " { " - " var frequency := frequencies[j]; " - " var amplitude := amplitudes [j]; " - " var theta := 2 * pi * frequency * time; " - " " - " input[i] += amplitude * sin(theta); " - " } " - " }; " - " " - " dft_1d_real(input[]); " - " " - " var freq_bin_size := sampling_rate / N; " - " var max_bin := ceil(N / 2); " - " var max_noise_level := 1e-5; " - " " - " /* Normalise amplitudes */ " - " output /= max_bin; " - " " - " println('1D Real DFT Frequencies'); " - " " - " for (var k := 0; k < max_bin; k += 1) " - " { " - " if (output[k] > max_noise_level) " - " { " - " var freq_begin := k * freq_bin_size; " - " var freq_end := freq_begin + freq_bin_size; " - " " - " println('Index: ', k,' ', " - " 'Freq. range: [', freq_begin, 'Hz, ', freq_end, 'Hz) ', " - " 'Amplitude: ', output[k]); " - " } " - " } " - " "; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(dft_program,expression); - - expression.value(); -} - -int main() -{ - real_1d_discrete_fourier_transform(); - return 0; -} diff --git a/exprtk_simple_example_24.cpp b/exprtk_simple_example_24.cpp deleted file mode 100644 index 6b5c302..0000000 --- a/exprtk_simple_example_24.cpp +++ /dev/null @@ -1,143 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Simple Example 24 * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include - -#include "exprtk.hpp" - - -template -struct char_process : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function igfun_t; - typedef typename igfun_t::parameter_list_t parameter_list_t; - typedef typename igfun_t::generic_type generic_type; - typedef typename generic_type::string_view string_t; - - using exprtk::igeneric_function::operator(); - - char_process() - : exprtk::igeneric_function("S") - {} - - inline T operator()(parameter_list_t parameters) - { - const unsigned char c = string_t(parameters[0])[0]; - return Process(c); - } -}; - -template -T is_digit_func(const unsigned char c) -{ - return (('0' <= c) && (c <= '9')) ? T(1) : T(0); -} - -template -T to_num_func(const unsigned char c) -{ - return static_cast(c - '0'); -} - -template -void rpn_example() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string rpn_program = - " var stack[1000] := [0]; " - " var stack_size := 0; " - " " - " for (var i := 0; i < rpn_expression[]; i += 1) " - " { " - " var c := rpn_expression[i : i + 1]; " - " " - " if (c == ' ') " - " { " - " continue; " - " } " - " else if (is_digit(c)) " - " { " - " stack[stack_size] := to_num(c); " - " stack_size += 1; " - " } " - " else " - " { " - " var operator := c; " - " var operand1 := stack[stack_size - 2]; " - " var operand2 := stack[stack_size - 1]; " - " stack_size -= 2; " - " " - " switch " - " { " - " case operator == '+' : stack[stack_size] := operand1 + operand2; " - " case operator == '-' : stack[stack_size] := operand1 - operand2; " - " case operator == '*' : stack[stack_size] := operand1 * operand2; " - " case operator == '/' : stack[stack_size] := operand1 / operand2; " - " case operator == '^' : stack[stack_size] := operand1 ^ operand2; " - " }; " - " " - " stack_size += 1; " - " } " - " }; " - " " - " println(stack[0], ' = ', rpn_expression); " - " "; - - std::string rpn_expression; - - char_process> isdigit; - char_process> tonum; - exprtk::rtl::io::println println; - - symbol_table_t symbol_table; - symbol_table.add_stringvar("rpn_expression", rpn_expression); - symbol_table.add_function ("println" , println ); - symbol_table.add_function ("is_digit" , isdigit ); - symbol_table.add_function ("to_num" , tonum ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(rpn_program, expression); - - const std::string rpn_expressions[] = - { - "2 3 8 / ^ 4 6 * + 3 9 / -", // 2 ^ (3 / 8) + 4 * 6 - 3 / 9 - "1 2 / 6 5 2 - / * 7 +" , // (1 / 2) * (6 / (5 - 2)) + 7 - "1 2 * 3 / 4 * 5 / 6 *" , // ((((1 * 2) / 3) * 4) / 5) * 6 - "8 6 4 + * 2 /" // (8 * (6 + 4)) / 2 - }; - - for (std::size_t i = 0; i < sizeof(rpn_expressions) / sizeof(std::string); ++i) - { - rpn_expression = rpn_expressions[i]; - expression.value(); - } -} - -int main() -{ - rpn_example(); - return 0; -} diff --git a/exprtk_test.cpp b/exprtk_test.cpp deleted file mode 100644 index ccf6393..0000000 --- a/exprtk_test.cpp +++ /dev/null @@ -1,12699 +0,0 @@ -/* - ************************************************************** - * C++ Mathematical Expression Toolkit Library * - * * - * Examples and Unit-Tests * - * Author: Arash Partow (1999-2024) * - * URL: https://www.partow.net/programming/exprtk/index.html * - * * - * Copyright notice: * - * Free use of the Mathematical Expression Toolkit Library is * - * permitted under the guidelines and in accordance with the * - * most current version of the MIT License. * - * https://www.opensource.org/licenses/MIT * - * SPDX-License-Identifier: MIT * - * * - ************************************************************** -*/ - - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include "exprtk.hpp" - - -#ifdef exprtk_test_float32_type -typedef float numeric_type; -#else -typedef double numeric_type; -#endif - -#if __cplusplus >= 201103L - #define exprtk_test_override override - #define exprtk_test_final final - #define exprtk_test_delete = delete -#else - #define exprtk_test_override - #define exprtk_test_final - #define exprtk_test_delete -#endif - -typedef std::pair test_t; - -static const test_t global_test_list[] = -{ - // Note: Each of following tests must compile down - // to a single literal node. - test_t("0",0.0), - test_t("1",1.0), - test_t("2",2.0), - test_t("3",3.0), - test_t("4",4.0), - test_t("5",5.0), - test_t("6",6.0), - test_t("7",7.0), - test_t("8",8.0), - test_t("9",9.0), - test_t("12.12",12.12), - test_t("123.123",123.123), - test_t("1234.1234",1234.1234), - test_t("12345.12345",12345.12345), - test_t("123456.123456",123456.123456), - test_t("0.0",0.0), - test_t("1.0",1.0), - test_t("2.0",2.0), - test_t("3.0",3.0), - test_t("4.0",4.0), - test_t("5.0",5.0), - test_t("6.0",6.0), - test_t("7.0",7.0), - test_t("8.0",8.0), - test_t("9.0",9.0), - test_t("0.0",0.0), - test_t("1.1",1.1), - test_t("2.2",2.2), - test_t("3.3",3.3), - test_t("4.4",4.4), - test_t("5.5",5.5), - test_t("6.6",6.6), - test_t("7.7",7.7), - test_t("8.8",8.8), - test_t("9.9",9.9), - test_t("+0",0.0), - test_t("+1",1.0), - test_t("+2",2.0), - test_t("+3",3.0), - test_t("+4",4.0), - test_t("+5",5.0), - test_t("+6",6.0), - test_t("+7",7.0), - test_t("+8",8.0), - test_t("+9",9.0), - test_t("+0.0",0.0), - test_t("+1.0",1.0), - test_t("+2.0",2.0), - test_t("+3.0",3.0), - test_t("+4.0",4.0), - test_t("+5.0",5.0), - test_t("+6.0",6.0), - test_t("+7.0",7.0), - test_t("+8.0",8.0), - test_t("+9.0",9.0), - test_t("+0.0",0.0), - test_t("+1.1",1.1), - test_t("+2.2",2.2), - test_t("+3.3",3.3), - test_t("+4.4",4.4), - test_t("+5.5",5.5), - test_t("+6.6",6.6), - test_t("+7.7",7.7), - test_t("+8.8",8.8), - test_t("+9.9",9.9), - test_t("-0",-0.0), - test_t("-1",-1.0), - test_t("-2",-2.0), - test_t("-3",-3.0), - test_t("-4",-4.0), - test_t("-5",-5.0), - test_t("-6",-6.0), - test_t("-7",-7.0), - test_t("-8",-8.0), - test_t("-9",-9.0), - test_t("-0.0",-0.0), - test_t("-1.0",-1.0), - test_t("-2.0",-2.0), - test_t("-3.0",-3.0), - test_t("-4.0",-4.0), - test_t("-5.0",-5.0), - test_t("-6.0",-6.0), - test_t("-7.0",-7.0), - test_t("-8.0",-8.0), - test_t("-9.0",-9.0), - test_t("-0.0",-0.0), - test_t("-1.1",-1.1), - test_t("-2.2",-2.2), - test_t("-3.3",-3.3), - test_t("-4.4",-4.4), - test_t("-5.5",-5.5), - test_t("-6.6",-6.6), - test_t("-7.7",-7.7), - test_t("-8.8",-8.8), - test_t("-9.9",-9.9), - test_t("0.0e+0" ,+0.0e+0), - test_t("1.1e+1" ,+1.1e+1), - test_t("2.2e+2" ,+2.2e+2), - test_t("3.3e+3" ,+3.3e+3), - test_t("4.4e+4" ,+4.4e+4), - test_t("5.5e+5" ,+5.5e+5), - test_t("6.6e+6" ,+6.6e+6), - test_t("7.7e+7" ,+7.7e+7), - test_t("8.8e+8" ,+8.8e+8), - test_t("9.9e+9" ,+9.9e+9), - test_t("-0.0e+0",-0.0e+0), - test_t("-1.1e+1",-1.1e+1), - test_t("-2.2e+2",-2.2e+2), - test_t("-3.3e+3",-3.3e+3), - test_t("-4.4e+4",-4.4e+4), - test_t("-5.5e+5",-5.5e+5), - test_t("-6.6e+6",-6.6e+6), - test_t("-7.7e+7",-7.7e+7), - test_t("-8.8e+8",-8.8e+8), - test_t("-9.9e+9",-9.9e+9), - test_t("0.0E+0" ,+0.0E+0), - test_t("1.1E+1" ,+1.1E+1), - test_t("2.2E+2" ,+2.2E+2), - test_t("3.3E+3" ,+3.3E+3), - test_t("4.4E+4" ,+4.4E+4), - test_t("5.5E+5" ,+5.5E+5), - test_t("6.6E+6" ,+6.6E+6), - test_t("7.7E+7" ,+7.7E+7), - test_t("8.8E+8" ,+8.8E+8), - test_t("9.9E+9" ,+9.9E+9), - test_t("-0.0E+0",-0.0E+0), - test_t("-1.1E+1",-1.1E+1), - test_t("-2.2E+2",-2.2E+2), - test_t("-3.3E+3",-3.3E+3), - test_t("-4.4E+4",-4.4E+4), - test_t("-5.5E+5",-5.5E+5), - test_t("-6.6E+6",-6.6E+6), - test_t("-7.7E+7",-7.7E+7), - test_t("-8.8E+8",-8.8E+8), - test_t("-9.9E+9",-9.9E+9), - test_t("(0)",0.0), - test_t("(1)",1.0), - test_t("(2)",2.0), - test_t("(3)",3.0), - test_t("(4)",4.0), - test_t("(5)",5.0), - test_t("(6)",6.0), - test_t("(7)",7.0), - test_t("(8)",8.0), - test_t("(9)",9.0), - test_t("(0.0)",0.0), - test_t("(1.0)",1.0), - test_t("(2.0)",2.0), - test_t("(3.0)",3.0), - test_t("(4.0)",4.0), - test_t("(5.0)",5.0), - test_t("(6.0)",6.0), - test_t("(7.0)",7.0), - test_t("(8.0)",8.0), - test_t("(9.0)",9.0), - test_t("(0.0)",0.0), - test_t("(1.1)",1.1), - test_t("(2.2)",2.2), - test_t("(3.3)",3.3), - test_t("(4.4)",4.4), - test_t("(5.5)",5.5), - test_t("(6.6)",6.6), - test_t("(7.7)",7.7), - test_t("(8.8)",8.8), - test_t("(9.9)",9.9), - test_t("(+0)" ,0.0), - test_t("(+1)" ,1.0), - test_t("(+2)" ,2.0), - test_t("(+3)" ,3.0), - test_t("(+4)" ,4.0), - test_t("(+5)" ,5.0), - test_t("(+6)" ,6.0), - test_t("(+7)" ,7.0), - test_t("(+8)" ,8.0), - test_t("(+9)" ,9.0), - test_t("(+0.0)",0.0), - test_t("(+1.0)",1.0), - test_t("(+2.0)",2.0), - test_t("(+3.0)",3.0), - test_t("(+4.0)",4.0), - test_t("(+5.0)",5.0), - test_t("(+6.0)",6.0), - test_t("(+7.0)",7.0), - test_t("(+8.0)",8.0), - test_t("(+9.0)",9.0), - test_t("(+0.0)",0.0), - test_t("(+1.1)",1.1), - test_t("(+2.2)",2.2), - test_t("(+3.3)",3.3), - test_t("(+4.4)",4.4), - test_t("(+5.5)",5.5), - test_t("(+6.6)",6.6), - test_t("(+7.7)",7.7), - test_t("(+8.8)",8.8), - test_t("(+9.9)",9.9), - test_t("(-0)" ,-0.0), - test_t("(-1)" ,-1.0), - test_t("(-2)" ,-2.0), - test_t("(-3)" ,-3.0), - test_t("(-4)" ,-4.0), - test_t("(-5)" ,-5.0), - test_t("(-6)" ,-6.0), - test_t("(-7)" ,-7.0), - test_t("(-8)" ,-8.0), - test_t("(-9)" ,-9.0), - test_t("(-0.0)",-0.0), - test_t("(-1.0)",-1.0), - test_t("(-2.0)",-2.0), - test_t("(-3.0)",-3.0), - test_t("(-4.0)",-4.0), - test_t("(-5.0)",-5.0), - test_t("(-6.0)",-6.0), - test_t("(-7.0)",-7.0), - test_t("(-8.0)",-8.0), - test_t("(-9.0)",-9.0), - test_t("(-0.0)",-0.0), - test_t("(-1.1)",-1.1), - test_t("(-2.2)",-2.2), - test_t("(-3.3)",-3.3), - test_t("(-4.4)",-4.4), - test_t("(-5.5)",-5.5), - test_t("(-6.6)",-6.6), - test_t("(-7.7)",-7.7), - test_t("(-8.8)",-8.8), - test_t("(-9.9)",-9.9), - test_t("-(1.1)",-1.1), - test_t("-(1.1+2.2)",-3.3), - test_t("1234567890",1234567890), - test_t("123456789.0",123456789.0), - test_t("+1234567890",1234567890), - test_t("+123456789.0",123456789.0), - test_t("-1234567890",-1234567890), - test_t("-123456789.0",-123456789.0), - test_t("1234.567890",1234.567890), - test_t("-1234.567890",-1234.567890), - test_t("0+9",9.0), - test_t("1+8",9.0), - test_t("2+7",9.0), - test_t("3+6",9.0), - test_t("4+5",9.0), - test_t("5+4",9.0), - test_t("6+3",9.0), - test_t("7+2",9.0), - test_t("8+1",9.0), - test_t("9+0",9.0), - test_t(" 0 + 9 ",9.0), - test_t(" 1 + 8 ",9.0), - test_t(" 2 + 7 ",9.0), - test_t(" 3 + 6 ",9.0), - test_t(" 4 + 5 ",9.0), - test_t(" 5 + 4 ",9.0), - test_t(" 6 + 3 ",9.0), - test_t(" 7 + 2 ",9.0), - test_t(" 8 + 1 ",9.0), - test_t(" 9 + 0 ",9.0), - test_t("( 0 + 9 )",9.0), - test_t("( 1 + 8 )",9.0), - test_t("( 2 + 7 )",9.0), - test_t("( 3 + 6 )",9.0), - test_t("( 4 + 5 )",9.0), - test_t("( 5 + 4 )",9.0), - test_t("( 6 + 3 )",9.0), - test_t("( 7 + 2 )",9.0), - test_t("( 8 + 1 )",9.0), - test_t("( 9 + 0 )",9.0), - test_t("1E1+1",11.0), - test_t("1e1+1",11.0), - test_t("1E1-1", 9.0), - test_t("1e1-1", 9.0), - test_t("1E01+1",11.0), - test_t("1e01+1",11.0), - test_t("1E01-1", 9.0), - test_t("1e01-1", 9.0), - test_t("1+2",+3.0), - test_t("1-2",-1.0), - test_t("1*2",+2.0), - test_t("1/2",+0.5), - test_t("1.1+2.2", +3.3), - test_t("1.1-2.2", -1.1), - test_t("1.1*2.2",+2.42), - test_t("1.1/2.2", +0.5), - test_t("0-9",-9.0), - test_t("1-8",-7.0), - test_t("2-7",-5.0), - test_t("3-6",-3.0), - test_t("4-5",-1.0), - test_t("5-4",+1.0), - test_t("6-3",+3.0), - test_t("7-2",+5.0), - test_t("8-1",+7.0), - test_t("9-0",+9.0), - test_t("2.*3",+6.0), - test_t("2.*3.",+6.0), - test_t("2.+3",+5.0), - test_t("2.+3.",+5.0), - test_t("123.*456.",+56088.0), - test_t(" 0 - 9 ",-9.0), - test_t(" 1 - 8 ",-7.0), - test_t(" 2 - 7 ",-5.0), - test_t(" 3 - 6 ",-3.0), - test_t(" 4 - 5 ",-1.0), - test_t(" 5 - 4 ",+1.0), - test_t(" 6 - 3 ",+3.0), - test_t(" 7 - 2 ",+5.0), - test_t(" 8 - 1 ",+7.0), - test_t(" 9 - 0 ",+9.0), - test_t("( 0 - 9 )",-9.0), - test_t("( 1 - 8 )",-7.0), - test_t("( 2 - 7 )",-5.0), - test_t("( 3 - 6 )",-3.0), - test_t("( 4 - 5 )",-1.0), - test_t("( 5 - 4 )",+1.0), - test_t("( 6 - 3 )",+3.0), - test_t("( 7 - 2 )",+5.0), - test_t("( 8 - 1 )",+7.0), - test_t("( 9 - 0 )",+9.0), - test_t("1 - -1" , 2.0), - test_t("1 --1" , 2.0), - test_t("1-- 1" , 2.0), - test_t("1--1" , 2.0), - test_t("1 -- -1", 0.0), - test_t("1 + -1" , 0.0), - test_t("1 +-1" , 0.0), - test_t("1+- 1" , 0.0), - test_t("1+-1" , 0.0), - test_t("1 +- -1", 2.0), - test_t("1 + +1" , 2.0), - test_t("1 ++1" , 2.0), - test_t("1 - -1 + 1" , 3.0), - test_t("1 --1 + 1" , 3.0), - test_t("1-- 1 + 1" , 3.0), - test_t("1--1 + 1" , 3.0), - test_t("1 -- -1 + 1", 1.0), - test_t("1 + -1 + 1" , 1.0), - test_t("1 +-1 + 1" , 1.0), - test_t("1+- 1 + 1" , 1.0), - test_t("1+-1 + 1" , 1.0), - test_t("1 +- -1 + 1", 3.0), - test_t("1 + +1 + 1" , 3.0), - test_t("1 ++1 + 1" , 3.0), - test_t("1 - -1 - 1" , 1.0), - test_t("1 --1 - 1" , 1.0), - test_t("1-- 1 - 1" , 1.0), - test_t("1--1 - 1" , 1.0), - test_t("1 -- -1 - 1", -1.0), - test_t("1 + -1 - 1" , -1.0), - test_t("1 +-1 - 1" , -1.0), - test_t("1+- 1 - 1" , -1.0), - test_t("1+-1 - 1" , -1.0), - test_t("1 +- -1 - 1", 1.0), - test_t("1 + +1 - 1" , 1.0), - test_t("1 ++1 - 1" , 1.0), - test_t("-(1+2)",-3.0), - test_t("+(1+2)",+3.0), - test_t("+(1-2)",-1.0), - test_t("-(1-2)",+1.0), - test_t("(-3*-6)",+18.0), - test_t("(-6*-3)",+18.0), - test_t("-(-3*-6)",-18.0), - test_t("-(-6*-3)",-18.0), - test_t("1.1+2.2+3.3",+6.6), - test_t("+1.1+2.2+3.3",+6.6), - test_t("-1.1-2.2-3.3",-6.6), - test_t("1.1*2.2*3.3",+7.986), - test_t("+1.1*2.2*3.3",+7.986), - test_t("-1.1*-2.2*-3.3",-7.986), - test_t("1 + 1/2",+1.5), - test_t("1 + (1/2)",+1.5), - test_t("1.1 + 1.1/2.2",+1.6), - test_t("1.1 + (1.1/2.2)",+1.6), - test_t("2 * 1/2",+1.0), - test_t("2 * (1/2)",+1.0), - test_t("2.2 * 1.1/2.2",+1.1), - test_t("2.2 * (1.1/2.2)",+1.1), - test_t("1^2",1.0), - test_t("2^1",2.0), - test_t("2^3",8.0), - test_t("-2^3",-8.0), - test_t("-2^4",-16.0), - test_t("(-2)^3",-8.0), - test_t("(-2)^4",+16.0), - test_t("3^2^4",43046721.0), - test_t("1.1^2.2",1.23328630055466251099), - test_t("2.2^1.1",2.3804822576003541627), - test_t("2.2^3.3",13.48946876053338489127), - test_t("3.3^2.2^1.1",17.15193942371376191362), - test_t("+3.3^2.2^1.1",17.15193942371376191362), - test_t("3.3^+2.2^1.1",17.15193942371376191362), - test_t("3.3^2.2^+1.1",17.15193942371376191362), - test_t("3.3^2.2^-1.1",1.65127293793867959137), - test_t("+3.3^+2.2^-1.1",1.65127293793867959137), - test_t("1.1^(1.1 * 2.2)",1.25941916576299080582), - test_t("2.2^(1.1 * 3.3)",17.49823848953534759743), - test_t("3.3^(1.1 * 2.2)",17.98058156638874965269), - test_t("1.1^-2.2/1.1",0.73712884727743375853), - test_t("1.1^+2.2/1.1",1.121169364140602282717273261774), - test_t("1.1^2.2/+1.1",1.121169364140602282717273261774), - test_t("1.1^+2.2/+1.1",1.121169364140602282717273261774), - test_t("1.1^+2.2/-1.1",-1.121169364140602282717273261774), - test_t("1.1^2.2/-1.1",-1.121169364140602282717273261774), - test_t("1.1^+2.2/-1.1",-1.121169364140602282717273261774), - test_t("+1.1^-2.2/1.1",0.73712884727743375853), - test_t("+1.1^+2.2/1.1",1.121169364140602282717273261774), - test_t("+1.1^2.2/+1.1",1.121169364140602282717273261774), - test_t("+1.1^+2.2/+1.1",1.121169364140602282717273261774), - test_t("+1.1^+2.2/-1.1",-1.121169364140602282717273261774), - test_t("+1.1^2.2/-1.1",-1.121169364140602282717273261774), - test_t("+1.1^+2.2/-1.1",-1.121169364140602282717273261774), - test_t("equal(1.23^3,(1.23 * 1.23 * 1.23))",1.0), - test_t("equal(1.23^-3,1/(1.23 * 1.23 * 1.23))",1.0), - test_t("equal((2.1 + 1.23^3),(2.1 + [1.23 * 1.23 * 1.23]))",1.0), - test_t("equal((2.1 - 1.23^3),(2.1 - [1.23 * 1.23 * 1.23]))",1.0), - test_t("equal((2.1 * 1.23^3),(2.1 * [1.23 * 1.23 * 1.23]))",1.0), - test_t("equal((2.1 / 1.23^3),(2.1 / [1.23 * 1.23 * 1.23]))",1.0), - test_t("equal((1.23^3 + 2.1),({1.23 * 1.23 * 1.23} + 2.1))",1.0), - test_t("equal((1.23^3 - 2.1),({1.23 * 1.23 * 1.23} - 2.1))",1.0), - test_t("equal((1.23^3 * 2.1),({1.23 * 1.23 * 1.23} * 2.1))",1.0), - test_t("equal((1.23^3 / 2.1),({1.23 * 1.23 * 1.23} / 2.1))",1.0), - test_t("equal(1.0^(1.0/2.0),sqrt(1.0))",1.0), - test_t("equal(1.0^(1.0/2.0),root(1.0,2.0))",1.0), - test_t("equal(1.0^(1.0/3.0),root(1.0,3.0))",1.0), - test_t("equal(1.0^(1.0/4.0),root(1.0,4.0))",1.0), - test_t("equal(1.0^(1.0/5.0),root(1.0,5.0))",1.0), - test_t("equal(1.0^(1.0/6.0),root(1.0,6.0))",1.0), - test_t("equal(1.0^(1.0/7.0),root(1.0,7.0))",1.0), - test_t("equal(1.0^(1.0/8.0),root(1.0,8.0))",1.0), - test_t("equal(1.0^(1.0/9.0),root(1.0,9.0))",1.0), - test_t("equal(2.0^(1.0/2.0),sqrt(2.0))",1.0), - test_t("equal(2.0^(1.0/2.0),root(2.0,2.0))",1.0), - test_t("equal(3.0^(1.0/3.0),root(3.0,3.0))",1.0), - test_t("equal(4.0^(1.0/4.0),root(4.0,4.0))",1.0), - test_t("equal(5.0^(1.0/5.0),root(5.0,5.0))",1.0), - test_t("equal(6.0^(1.0/6.0),root(6.0,6.0))",1.0), - test_t("equal(7.0^(1.0/7.0),root(7.0,7.0))",1.0), - test_t("equal(8.0^(1.0/8.0),root(8.0,8.0))",1.0), - test_t("equal(9.0^(1.0/9.0),root(9.0,9.0))",1.0), - test_t("1 < 2", 1.0), - test_t("1 <= 2", 1.0), - test_t("1.1 <= 2.2", 1.0), - test_t("(1.0 + 0.1) <= (2.0 + 0.2)", 1.0), - test_t("1 > 2", 0.0), - test_t("1 >= 2", 0.0), - test_t("1.1 >= 2.2", 0.0), - test_t("(1.0 + 0.1) >= (2.0 + 0.2)", 0.0), - test_t("1 <> 2", 1.0), - test_t("1 != 2", 1.0), - test_t("1.1 <> 2.2", 1.0), - test_t("1.1 != 2.2", 1.0), - test_t("(1.0 + 0.1) <> (2.0 + 0.2)", 1.0), - test_t("(1.0 + 0.1) != (2.0 + 0.2)", 1.0), - test_t("1 == 1", 1.0), - test_t("1.1 == 1.1", 1.0), - test_t("1 = 1", 1.0), - test_t("1.1 = 1.1", 1.0), - test_t("1 <> 1", 0.0), - test_t("1 != 1", 0.0), - test_t("1.1 <> 1.1", 0.0), - test_t("1.1 != 1.1", 0.0), - test_t("(1.0 + 0.1) <> (1.0 + 0.1)", 0.0), - test_t("(1.0 + 0.1) != (1.0 + 0.1)", 0.0), - test_t("equal(1.1,1.1)",1.0), - test_t("equal(1.1,2.2)",0.0), - test_t("not_equal(1.1,1.1)",0.0), - test_t("not_equal(1.1,2.2)",1.0), - test_t("1 and 1",1.0), - test_t("1 and 0",0.0), - test_t("0 and 1",0.0), - test_t("0 and 0",0.0), - test_t("1.0 and 1.0",1.0), - test_t("1.0 and 0.0",0.0), - test_t("0.0 and 1.0",0.0), - test_t("0.0 and 0.0",0.0), - test_t("(1 and 1)",1.0), - test_t("(1 and 0)",0.0), - test_t("(0 and 1)",0.0), - test_t("(0 and 0)",0.0), - test_t("(1.0 and 1.0)",1.0), - test_t("(1.0 and 0.0)",0.0), - test_t("(0.0 and 1.0)",0.0), - test_t("(0.0 and 0.0)",0.0), - test_t("1 or 1",1.0), - test_t("1 or 0",1.0), - test_t("0 or 1",1.0), - test_t("0 or 0",0.0), - test_t("1.0 or 1.0",1.0), - test_t("1.0 or 0.0",1.0), - test_t("0.0 or 1.0",1.0), - test_t("0.0 or 0.0",0.0), - test_t("(1 or 1)",1.0), - test_t("(1 or 0)",1.0), - test_t("(0 or 1)",1.0), - test_t("(0 or 0)",0.0), - test_t("(1.0 or 1.0)",1.0), - test_t("(1.0 or 0.0)",1.0), - test_t("(0.0 or 1.0)",1.0), - test_t("(0.0 or 0.0)",0.0), - test_t("1 nand 1",0.0), - test_t("1 nand 0",1.0), - test_t("0 nand 1",1.0), - test_t("0 nand 0",1.0), - test_t("1.0 nand 1.0",0.0), - test_t("1.0 nand 0.0",1.0), - test_t("0.0 nand 1.0",1.0), - test_t("0.0 nand 0.0",1.0), - test_t("(1 nand 1)",0.0), - test_t("(1 nand 0)",1.0), - test_t("(0 nand 1)",1.0), - test_t("(0 nand 0)",1.0), - test_t("(1.0 nand 1.0)",0.0), - test_t("(1.0 nand 0.0)",1.0), - test_t("(0.0 nand 1.0)",1.0), - test_t("(0.0 nand 0.0)",1.0), - test_t("1 nor 1",0.0), - test_t("1 nor 0",0.0), - test_t("0 nor 1",0.0), - test_t("0 nor 0",1.0), - test_t("1.0 nor 1.0",0.0), - test_t("1.0 nor 0.0",0.0), - test_t("0.0 nor 1.0",0.0), - test_t("0.0 nor 0.0",1.0), - test_t("(1 nor 1)",0.0), - test_t("(1 nor 0)",0.0), - test_t("(0 nor 1)",0.0), - test_t("(0 nor 0)",1.0), - test_t("(1.0 nor 1.0)",0.0), - test_t("(1.0 nor 0.0)",0.0), - test_t("(0.0 nor 1.0)",0.0), - test_t("(0.0 nor 0.0)",1.0), - test_t("0 xor 0",0.0), - test_t("0 xor 1",1.0), - test_t("1 xor 0",1.0), - test_t("1 xor 1",0.0), - test_t("0.0 xor 0.0",0.0), - test_t("0.0 xor 1.0",1.0), - test_t("1.0 xor 0.0",1.0), - test_t("1.0 xor 1.0",0.0), - test_t("(0 xor 0)",0.0), - test_t("(0 xor 1)",1.0), - test_t("(1 xor 0)",1.0), - test_t("(1 xor 1)",0.0), - test_t("(0.0 xor 0.0)",0.0), - test_t("(0.0 xor 1.0)",1.0), - test_t("(1.0 xor 0.0)",1.0), - test_t("(1.0 xor 1.0)",0.0), - test_t("1 & 1",1.0), - test_t("1 & 0",0.0), - test_t("0 & 1",0.0), - test_t("0 & 0",0.0), - test_t("1.0 & 1.0",1.0), - test_t("1.0 & 0.0",0.0), - test_t("0.0 & 1.0",0.0), - test_t("0.0 & 0.0",0.0), - test_t("(1 & 1)",1.0), - test_t("(1 & 0)",0.0), - test_t("(0 & 1)",0.0), - test_t("(0 & 0)",0.0), - test_t("(1.0 & 1.0)",1.0), - test_t("(1.0 & 0.0)",0.0), - test_t("(0.0 & 1.0)",0.0), - test_t("(0.0 & 0.0)",0.0), - test_t("1 | 1",1.0), - test_t("1 | 0",1.0), - test_t("0 | 1",1.0), - test_t("0 | 0",0.0), - test_t("1.0 | 1.0",1.0), - test_t("1.0 | 0.0",1.0), - test_t("0.0 | 1.0",1.0), - test_t("0.0 | 0.0",0.0), - test_t("(1 | 1)",1.0), - test_t("(1 | 0)",1.0), - test_t("(0 | 1)",1.0), - test_t("(0 | 0)",0.0), - test_t("(1.0 | 1.0)",1.0), - test_t("(1.0 | 0.0)",1.0), - test_t("(0.0 | 1.0)",1.0), - test_t("(0.0 | 0.0)",0.0), - test_t("(1 nand 1) == not(1 and 1)",1.0), - test_t("(1 nand 0) == not(1 and 0)",1.0), - test_t("(0 nand 1) == not(0 and 1)",1.0), - test_t("(0 nand 0) == not(0 and 0)",1.0), - test_t("(1 nor 1) == not(1 or 1)",1.0), - test_t("(1 nor 0) == not(1 or 0)",1.0), - test_t("(0 nor 1) == not(0 or 1)",1.0), - test_t("(0 nor 0) == not(0 or 0)",1.0), - test_t("(1.0 nand 1.0) == not(1.0 and 1.0)",1.0), - test_t("(1.0 nand 0.0) == not(1.0 and 0.0)",1.0), - test_t("(0.0 nand 1.0) == not(0.0 and 1.0)",1.0), - test_t("(0.0 nand 0.0) == not(0.0 and 0.0)",1.0), - test_t("(1.0 nor 1.0) == not(1.0 or 1.0)",1.0), - test_t("(1.0 nor 0.0) == not(1.0 or 0.0)",1.0), - test_t("(0.0 nor 1.0) == not(0.0 or 1.0)",1.0), - test_t("(0.0 nor 0.0) == not(0.0 or 0.0)",1.0), - test_t("(1 nand 1) == not(1 & 1)",1.0), - test_t("(1 nand 0) == not(1 & 0)",1.0), - test_t("(0 nand 1) == not(0 & 1)",1.0), - test_t("(0 nand 0) == not(0 & 0)",1.0), - test_t("(1 nor 1) == not(1 | 1)",1.0), - test_t("(1 nor 0) == not(1 | 0)",1.0), - test_t("(0 nor 1) == not(0 | 1)",1.0), - test_t("(0 nor 0) == not(0 | 0)",1.0), - test_t("(1.0 nand 1.0) == not(1.0 & 1.0)",1.0), - test_t("(1.0 nand 0.0) == not(1.0 & 0.0)",1.0), - test_t("(0.0 nand 1.0) == not(0.0 & 1.0)",1.0), - test_t("(0.0 nand 0.0) == not(0.0 & 0.0)",1.0), - test_t("(1.0 nor 1.0) == not(1.0 | 1.0)",1.0), - test_t("(1.0 nor 0.0) == not(1.0 | 0.0)",1.0), - test_t("(0.0 nor 1.0) == not(0.0 | 1.0)",1.0), - test_t("(0.0 nor 0.0) == not(0.0 | 0.0)",1.0), - test_t("mand(1,1)",1.0), - test_t("mand(1,0)",0.0), - test_t("mand(0,1)",0.0), - test_t("mand(0,0)",0.0), - test_t("mand(1.0,1.0)",1.0), - test_t("mand(1.0,0.0)",0.0), - test_t("mand(0.0,1.0)",0.0), - test_t("mand(0.0,0.0)",0.0), - test_t("mor(1,1)",1.0), - test_t("mor(1,0)",1.0), - test_t("mor(0,1)",1.0), - test_t("mor(0,0)",0.0), - test_t("mor(1.0,1.0)",1.0), - test_t("mor(1.0,0.0)",1.0), - test_t("mor(0.0,1.0)",1.0), - test_t("mor(0.0,0.0)",0.0), - test_t("(1 nand 1) == not(mand(1,1))",1.0), - test_t("(1 nand 0) == not(mand(1,0))",1.0), - test_t("(0 nand 1) == not(mand(0,1))",1.0), - test_t("(0 nand 0) == not(mand(0,0))",1.0), - test_t("(1 nor 1) == not(mor(1,1))",1.0), - test_t("(1 nor 0) == not(mor(1,0))",1.0), - test_t("(0 nor 1) == not(mor(0,1))",1.0), - test_t("(0 nor 0) == not(mor(0,0))",1.0), - test_t("(1.0 nand 1.0) == not(mand(1.0,1.0))",1.0), - test_t("(1.0 nand 0.0) == not(mand(1.0,0.0))",1.0), - test_t("(0.0 nand 1.0) == not(mand(0.0,1.0))",1.0), - test_t("(0.0 nand 0.0) == not(mand(0.0,0.0))",1.0), - test_t("(1.0 nor 1.0) == not(mor(1.0,1.0))",1.0), - test_t("(1.0 nor 0.0) == not(mor(1.0,0.0))",1.0), - test_t("(0.0 nor 1.0) == not(mor(0.0,1.0))",1.0), - test_t("(0.0 nor 0.0) == not(mor(0.0,0.0))",1.0), - test_t("abs(1)",1.0), - test_t("abs(-1)",1.0), - test_t("abs(1.0)",1.0), - test_t("abs(-1.0)",1.0), - test_t("min(1,2)",1.0), - test_t("min(1,2,3)",1.0), - test_t("min(1,2,3,4)",1.0), - test_t("min(1,2,3,4,5)",1.0), - test_t("min(1,2,3,4,5,6)",1.0), - test_t("min(1.1,2.2)",1.1), - test_t("min(1.1,2.2,3.3)",1.1), - test_t("min(1.1,2.2,3.3,4.4)",1.1), - test_t("min(1.1,2.2,3.3,4.4,5.5)",1.1), - test_t("min(1.1,2.2,3.3,4.4,5.5,6.6)",1.1), - test_t("min(min(1,2),min(3,4))",1.0), - test_t("max(1,2)",2.0), - test_t("max(1,2,3)",3.0), - test_t("max(1,2,3,4)",4.0), - test_t("max(1,2,3,4,5)",5.0), - test_t("max(1,2,3,4,5,6)",6.0), - test_t("max(1.1,2.2)",2.2), - test_t("max(1.1,2.2,3.3)",3.3), - test_t("max(1.1,2.2,3.3,4.4)",4.4), - test_t("max(1.1,2.2,3.3,4.4,5.5)",5.5), - test_t("max(1.1,2.2,3.3,4.4,5.5,6.6)",6.6), - test_t("max(max(1,2),max(3,4))",4.0), - test_t("avg(1,2)",1.5), - test_t("avg(1,2,3)",2.0), - test_t("avg(1,2,3,4)",2.5), - test_t("avg(1,2,3,4,5)",3.0), - test_t("avg(1.1,2.2)",1.65), - test_t("avg(1.1,2.2,3.3)",2.2), - test_t("avg(1.1,2.2,3.3,4.4)",2.75), - test_t("avg(1.1,2.2,3.3,4.4,5.5)",3.3), - test_t("avg(1.1,2.2,3.3,4.4,5.5,6.6)",3.85), - test_t("sum(1,2)",3.0), - test_t("sum(1,2,3)",6.0), - test_t("sum(1,2,3,4)",10), - test_t("sum(1,2,3,4,5)",15.0), - test_t("sum(1,2,3,4,5,6)",21), - test_t("sum(1.1,2.2)",3.3), - test_t("sum(1.1,2.2,3.3)",6.6), - test_t("sum(1.1,2.2,3.3,4.4)",11.0), - test_t("sum(1.1,2.2,3.3,4.4,5.5)",16.5), - test_t("sum(1.1,2.2,3.3,4.4,5.5,6.6)",23.1), - test_t("mul(1,2)",2.0), - test_t("mul(1,2,3)",6.0), - test_t("mul(1,2,3,4)",24.0), - test_t("mul(1,2,3,4,5)",120.0), - test_t("mul(1,2,3,4,5,6)",720.0), - test_t("mul(1.1,2.2)",2.42), - test_t("mul(1.1,2.2,3.3)",7.986), - test_t("mul(1.1,2.2,3.3,4.4)",35.1384), - test_t("mul(1.1,2.2,3.3,4.4,5.5)",193.2612), - test_t("mul(1.1,2.2,3.3,4.4,5.5,6.6)",1275.52392), - test_t("equal(sum(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),(1.1+2.2+3.3+4.4+5.5+6.6+7.7+8.8+9.9))",1.0), - test_t("equal(mul(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),(1.1*2.2*3.3*4.4*5.5*6.6*7.7*8.8*9.9))",1.0), - test_t("equal(min(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),1.1)",1.0), - test_t("equal(max(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),9.9)",1.0), - test_t("equal(avg(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),5.5)",1.0), - test_t("floor(1.0)",1.0), - test_t("floor(1.1)",1.0), - test_t("floor(-1.0)",-1.0), - test_t("floor(-1.1)",-2.0), - test_t("ceil(1.0)",1.0), - test_t("ceil(1.1)",2.0), - test_t("ceil(-1.0)",-1.0), - test_t("ceil(-1.1)",-1.0), - test_t("round(1.1)",1.0), - test_t("round(1.49)",1.0), - test_t("round(1.5)",2.0), - test_t("round(1.9)",2.0), - test_t("roundn(1/3,2)",0.33), - test_t("roundn(1/3,5)",0.33333), - test_t("roundn(2/3,2)",0.67), - test_t("roundn(2/3,5)",0.66667), - test_t("roundn(1.0/3.0,2.0)",0.33), - test_t("roundn(1.0/3.0,5.0)",0.33333), - test_t("roundn(2.0/3.0,2.0)",0.67), - test_t("roundn(2.0/3.0,5.0)",0.66667), - test_t("cos(0.0)",1.0), - test_t("sin(0.0)",0.0), - test_t("equal(sin(pi/4.0),cos(pi/4.0))",1.0), - test_t("equal(sin(pi/6.0),cos(pi/3.0))",1.0), - test_t("(sin(pi/4.0) - cos(pi/4.0)) <= epsilon",1.0), - test_t("(cos(pi/3.0) - sin(pi/6.0)) <= epsilon",1.0), - test_t("sin(deg2rad(30))",0.5), - test_t("cos(deg2rad(60))",0.5), - test_t("sin(deg2rad(30)) + cos(deg2rad(60))",1.0), - test_t("equal(sin(deg2rad(30))/cos(deg2rad(30)),tan(deg2rad(30)))",1.0), - test_t("equal(sinh(pi),11.5487393572577483779773343153884) ",1.0), - test_t("equal(asinh(11.5487393572577483779773343153884),pi)",1.0), - test_t("equal(cosh(pi),11.5919532755215206277517520525601) ",1.0), - test_t("equal(acosh(11.5919532755215206277517520525601),pi)",1.0), - test_t("equal(tanh(pi),0.99627207622074994426469058001253) ",1.0), - test_t("equal(atanh(0.99627207622074994426469058001253),pi)",1.0), - test_t("exp(1.0)",2.71828182845904523536028747135266249775724), - test_t("exp(0.0)",1.0), - test_t("log(2.7182818284590451)",1.0), - test_t("log10(10.0)",1.0), - test_t("frac(12.34) + trunc(12.34)",12.34), - test_t("hypot(3.0,4.0)",5.0), - test_t("hypot(1.0,sqrt(3.0))",2.0), - test_t("if(1 < 2, 3, 4)",3.0), - test_t("if(1.1 < 2.2, 3.3, 4.4)",3.3), - test_t("if((1.0+1.1) < (2.0+1.2), 3.3, 4.4)",3.3), - test_t("if(1 = 2, 3, 4)",4.0), - test_t("if(1.1 = 2.2, 3.3, 4.4)",4.4), - test_t("if((1.0+1.1) = (2.0+1.2), 3.3, 4.4)",4.4), - test_t("if(1 == 2, 3, 4)",4.0), - test_t("if(1.1 == 2.2, 3.3, 4.4)",4.4), - test_t("if((1.0+1.1) == (2.0+1.2), 3.3, 4.4)",4.4), - test_t("if(1 >= 2, 3, 4)",4.0), - test_t("if(1.1 >= 2.2, 3.3, 4.4)",4.4), - test_t("if((1.0+1.1) >= (2.0+1.2), 3.3, 4.4)",4.4), - test_t("if(((1.0 + 2.0) == 3.0) and ((4.0 + 5.0) < 9.0),1,2)",2.0), - test_t("(3.0 - 1.0 - 2.0) == ((3.0 - 1.0) - 2.0)",1.0), - test_t("true == true",1.0), - test_t("false == false",1.0), - test_t("true != false",1.0), - test_t("false != true",1.0), - test_t("(1 < 2) == true",1.0), - test_t("(1 > 2) == false",1.0), - test_t("true == (1 < 2)",1.0), - test_t("false == (1 > 2)",1.0), - test_t("(1 > 2) != true",1.0), - test_t("(1 < 2) != false",1.0), - test_t("true != (1 > 2)",1.0), - test_t("false != (1 < 2)",1.0), - test_t("(true and true) == true",1.0), - test_t("(false and false) == false",1.0), - test_t("(true or true) == true",1.0), - test_t("(false or false) == false",1.0), - test_t("(true and false) == false",1.0), - test_t("(false and true) == false",1.0), - test_t("(true or false) == true",1.0), - test_t("(false or true) == true",1.0), - test_t("(true & true) == true",1.0), - test_t("(false & false) == false",1.0), - test_t("(true | true) == true",1.0), - test_t("(false | false) == false",1.0), - test_t("(true & false) == false",1.0), - test_t("(false & true) == false",1.0), - test_t("(true | false) == true",1.0), - test_t("(false | true) == true",1.0), - test_t("clamp(-1,1,+1)",1.0), - test_t("clamp(-1,-1.5,+1.0)",-1.0), - test_t("clamp(-1,+1.5,+1.0)",+1.0), - test_t("clamp(-1,-1.5,+1.0) + clamp(-1,+1.5,+1.0)",0.0), - test_t("inrange(-2,1,+2) == ((-2 <= 1) and (1 <= +2))",1.0), - test_t("inrange(-2,1,+2) == if(({-2 <= 1} and [1 <= +2]),1.0,0.0)",1.0), - test_t("sgn( 0)", 0.0), - test_t("sgn(+3)",+1.0), - test_t("sgn(-3)",-1.0), - test_t("equal($f00(1.1,2.2,3.3),(1.1+2.2)/3.3)",1.0), - test_t("equal($f01(1.1,2.2,3.3),(1.1+2.2)*3.3)",1.0), - test_t("equal($f02(1.1,2.2,3.3),(1.1+2.2)-3.3)",1.0), - test_t("equal($f03(1.1,2.2,3.3),(1.1+2.2)+3.3)",1.0), - test_t("equal($f04(1.1,2.2,3.3),(1.1-2.2)+3.3)",1.0), - test_t("equal($f05(1.1,2.2,3.3),(1.1-2.2)/3.3)",1.0), - test_t("equal($f06(1.1,2.2,3.3),(1.1-2.2)*3.3)",1.0), - test_t("equal($f07(1.1,2.2,3.3),(1.1*2.2)+3.3)",1.0), - test_t("equal($f08(1.1,2.2,3.3),(1.1*2.2)-3.3)",1.0), - test_t("equal($f09(1.1,2.2,3.3),(1.1*2.2)/3.3)",1.0), - test_t("equal($f10(1.1,2.2,3.3),(1.1*2.2)*3.3)",1.0), - test_t("equal($f11(1.1,2.2,3.3),(1.1/2.2)+3.3)",1.0), - test_t("equal($f12(1.1,2.2,3.3),(1.1/2.2)-3.3)",1.0), - test_t("equal($f13(1.1,2.2,3.3),(1.1/2.2)/3.3)",1.0), - test_t("equal($f14(1.1,2.2,3.3),(1.1/2.2)*3.3)",1.0), - test_t("equal($f15(1.1,2.2,3.3),1.1/(2.2+3.3))",1.0), - test_t("equal($f16(1.1,2.2,3.3),1.1/(2.2-3.3))",1.0), - test_t("equal($f17(1.1,2.2,3.3),1.1/(2.2*3.3))",1.0), - test_t("equal($f18(1.1,2.2,3.3),1.1/(2.2/3.3))",1.0), - test_t("equal($f19(1.1,2.2,3.3),1.1*(2.2+3.3))",1.0), - test_t("equal($f20(1.1,2.2,3.3),1.1*(2.2-3.3))",1.0), - test_t("equal($f21(1.1,2.2,3.3),1.1*(2.2*3.3))",1.0), - test_t("equal($f22(1.1,2.2,3.3),1.1*(2.2/3.3))",1.0), - test_t("equal($f23(1.1,2.2,3.3),1.1-(2.2+3.3))",1.0), - test_t("equal($f24(1.1,2.2,3.3),1.1-(2.2-3.3))",1.0), - test_t("equal($f25(1.1,2.2,3.3),1.1-(2.2/3.3))",1.0), - test_t("equal($f26(1.1,2.2,3.3),1.1-(2.2*3.3))",1.0), - test_t("equal($f27(1.1,2.2,3.3),1.1+(2.2*3.3))",1.0), - test_t("equal($f28(1.1,2.2,3.3),1.1+(2.2/3.3))",1.0), - test_t("equal($f29(1.1,2.2,3.3),1.1+(2.2+3.3))",1.0), - test_t("equal($f30(1.1,2.2,3.3),1.1+(2.2-3.3))",1.0), - test_t("equal($f31(1.1,2.2,3.3),1.1*2.2^2+3.3)",1.0), - test_t("equal($f32(1.1,2.2,3.3),1.1*2.2^3+3.3)",1.0), - test_t("equal($f33(1.1,2.2,3.3),1.1*2.2^4+3.3)",1.0), - test_t("equal($f34(1.1,2.2,3.3),1.1*2.2^5+3.3)",1.0), - test_t("equal($f35(1.1,2.2,3.3),1.1*2.2^6+3.3)",1.0), - test_t("equal($f36(1.1,2.2,3.3),1.1*2.2^7+3.3)",1.0), - test_t("equal($f37(1.1,2.2,3.3),1.1*2.2^8+3.3)",1.0), - test_t("equal($f38(1.1,2.2,3.3),1.1*2.2^9+3.3)",1.0), - test_t("equal($f39(1.1,2.2,3.3),1.1*log(2.2)+3.3)",1.0), - test_t("equal($f40(1.1,2.2,3.3),1.1*log(2.2)-3.3)",1.0), - test_t("equal($f41(1.1,2.2,3.3),1.1*log10(2.2)+3.3)",1.0), - test_t("equal($f42(1.1,2.2,3.3),1.1*log10(2.2)-3.3)",1.0), - test_t("equal($f43(1.1,2.2,3.3),1.1*sin(2.2)+3.3)",1.0), - test_t("equal($f44(1.1,2.2,3.3),1.1*sin(2.2)-3.3)",1.0), - test_t("equal($f45(1.1,2.2,3.3),1.1*cos(2.2)+3.3)",1.0), - test_t("equal($f46(1.1,2.2,3.3),1.1*cos(2.2)-3.3)",1.0), - test_t("equal($f47(1.1,2.2,3.3),if(0!=1.1,2.2,3.3))",1.0), - test_t("equal($f48(1.1,2.2,3.3,4.4),1.1+((2.2+3.3)/4.4))",1.0), - test_t("equal($f49(1.1,2.2,3.3,4.4),1.1+((2.2+3.3)*4.4))",1.0), - test_t("equal($f50(1.1,2.2,3.3,4.4),1.1+((2.2-3.3)/4.4))",1.0), - test_t("equal($f51(1.1,2.2,3.3,4.4),1.1+((2.2-3.3)*4.4))",1.0), - test_t("equal($f52(1.1,2.2,3.3,4.4),1.1+((2.2*3.3)/4.4))",1.0), - test_t("equal($f53(1.1,2.2,3.3,4.4),1.1+((2.2*3.3)*4.4))",1.0), - test_t("equal($f54(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)+4.4))",1.0), - test_t("equal($f55(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)/4.4))",1.0), - test_t("equal($f56(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)*4.4))",1.0), - test_t("equal($f57(1.1,2.2,3.3,4.4),1.1-((2.2+3.3)/4.4))",1.0), - test_t("equal($f58(1.1,2.2,3.3,4.4),1.1-((2.2+3.3)*4.4))",1.0), - test_t("equal($f59(1.1,2.2,3.3,4.4),1.1-((2.2-3.3)/4.4))",1.0), - test_t("equal($f60(1.1,2.2,3.3,4.4),1.1-((2.2-3.3)*4.4))",1.0), - test_t("equal($f61(1.1,2.2,3.3,4.4),1.1-((2.2*3.3)/4.4))",1.0), - test_t("equal($f62(1.1,2.2,3.3,4.4),1.1-((2.2*3.3)*4.4))",1.0), - test_t("equal($f63(1.1,2.2,3.3,4.4),1.1-((2.2/3.3)/4.4))",1.0), - test_t("equal($f64(1.1,2.2,3.3,4.4),1.1-((2.2/3.3)*4.4))",1.0), - test_t("equal($f65(1.1,2.2,3.3,4.4),((1.1+2.2)*3.3)-4.4)",1.0), - test_t("equal($f66(1.1,2.2,3.3,4.4),((1.1-2.2)*3.3)-4.4)",1.0), - test_t("equal($f67(1.1,2.2,3.3,4.4),((1.1*2.2)*3.3)-4.4)",1.0), - test_t("equal($f68(1.1,2.2,3.3,4.4),((1.1/2.2)*3.3)-4.4)",1.0), - test_t("equal($f69(1.1,2.2,3.3,4.4),((1.1+2.2)/3.3)-4.4)",1.0), - test_t("equal($f70(1.1,2.2,3.3,4.4),((1.1-2.2)/3.3)-4.4)",1.0), - test_t("equal($f71(1.1,2.2,3.3,4.4),((1.1*2.2)/3.3)-4.4)",1.0), - test_t("equal($f72(1.1,2.2,3.3,4.4),((1.1/2.2)/3.3)-4.4)",1.0), - test_t("equal($f73(1.1,2.2,3.3,4.4),(1.1*2.2)+(3.3*4.4))",1.0), - test_t("equal($f74(1.1,2.2,3.3,4.4),(1.1*2.2)-(3.3*4.4))",1.0), - test_t("equal($f75(1.1,2.2,3.3,4.4),(1.1*2.2)+(3.3/4.4))",1.0), - test_t("equal($f76(1.1,2.2,3.3,4.4),(1.1*2.2)-(3.3/4.4))",1.0), - test_t("equal($f77(1.1,2.2,3.3,4.4),(1.1/2.2)+(3.3/4.4))",1.0), - test_t("equal($f78(1.1,2.2,3.3,4.4),(1.1/2.2)-(3.3/4.4))",1.0), - test_t("equal($f79(1.1,2.2,3.3,4.4),(1.1/2.2)-(3.3*4.4))",1.0), - test_t("equal($f80(1.1,2.2,3.3,4.4),1.1/(2.2+(3.3*4.4)))",1.0), - test_t("equal($f81(1.1,2.2,3.3,4.4),1.1/(2.2-(3.3*4.4)))",1.0), - test_t("equal($f82(1.1,2.2,3.3,4.4),1.1*(2.2+(3.3*4.4)))",1.0), - test_t("equal($f83(1.1,2.2,3.3,4.4),1.1*(2.2-(3.3*4.4)))",1.0), - test_t("equal($f84(1.1,2.2,3.3,4.4),1.1*2.2^2+3.3*4.4^2)",1.0), - test_t("equal($f85(1.1,2.2,3.3,4.4),1.1*2.2^3+3.3*4.4^3)",1.0), - test_t("equal($f86(1.1,2.2,3.3,4.4),1.1*2.2^4+3.3*4.4^4)",1.0), - test_t("equal($f87(1.1,2.2,3.3,4.4),1.1*2.2^5+3.3*4.4^5)",1.0), - test_t("equal($f88(1.1,2.2,3.3,4.4),1.1*2.2^6+3.3*4.4^6)",1.0), - test_t("equal($f89(1.1,2.2,3.3,4.4),1.1*2.2^7+3.3*4.4^7)",1.0), - test_t("equal($f90(1.1,2.2,3.3,4.4),1.1*2.2^8+3.3*4.4^8)",1.0), - test_t("equal($f91(1.1,2.2,3.3,4.4),1.1*2.2^9+3.3*4.4^9)",1.0), - test_t("equal($f92(1.1,2.2,3.3,4.4),if(1.1 and 2.2,3.3,4.4))",1.0), - test_t("equal($f93(1.1,2.2,3.3,4.4),if(1.1 or 2.2,3.3,4.4))",1.0), - test_t("equal($f94(1.1,2.2,3.3,4.4),if(1.1 < 2.2,3.3,4.4))",1.0), - test_t("equal($f95(1.1,2.2,3.3,4.4),if(1.1 <= 2.2,3.3,4.4))",1.0), - test_t("equal($f96(1.1,2.2,3.3,4.4),if(1.1 > 2.2,3.3,4.4))",1.0), - test_t("equal($f97(1.1,2.2,3.3,4.4),if(1.1 >= 2.2,3.3,4.4))",1.0), - test_t("equal($f98(1.1,2.2,3.3,4.4),if(equal(1.1,2.2),3.3,4.4))",1.0), - test_t("equal($f99(1.1,2.2,3.3,4.4),1.1*sin(2.2)+3.3*cos(4.4))",1.0), - test_t("equal((48.0/2.0*(9.0+3.0)),288.0)",1.0), - test_t("equal((48.0/2.0(9.0+3.0)),288.0)",1.0), - test_t("equal((6.0/2.0(1.0+2.0)),9.0)",1.0), - test_t("1+2+3+4+5+6+7+8+9+0",45.0), - test_t("1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0",45.0), - test_t("1.0 + 2.0 + 3.0 + 4.0 + 5.0 + 6.0 + 7.0 + 8.0 + 9.0 + 0.0",45.0), - test_t("(1+2)+(3+4)+(5+6)+(7+8)+(9+0)",45.0), - test_t("(1-2)+(3-4)+(5-6)+(7-8)+(9-0)",+5.0), - test_t("(1+2)-(3+4)-(5+6)-(7+8)-(9+0)",-39.0), - test_t("(1.0+2.0)+(3.0+4.0)+(5.0+6.0)+(7.0+8.0)+(9.0+0.0)",45.0), - test_t("(1.0-2.0)+(3.0-4.0)+(5.0-6.0)+(7.0-8.0)+(9.0-0.0)",+5.0), - test_t("(1.0+2.0)-(3.0+4.0)-(5.0+6.0)-(7.0+8.0)-(9.0+0.0)",-39.0), - test_t("[(1.0+2.0)+[3.0+4.0]+(5.0+6.0)]+([7.0+8.0]+(9.0+0.0))",45.0), - test_t("([1.0-2.0]+(3.0-4.0)+[5.0-6.0])+[(7.0-8.0)+[9.0-0.0]]",+5.0), - test_t("((1.0+2.0))-[(3.0+4.0)]-((5.0+6.0))-[(7.0+8.0)]-((9.0+0.0))",-39.0), - test_t("{[(1.0+2.0)+[3.0+4.0]+({5.0+6.0})]}+({[7.0+8.0]+(9.0+0.0)})",45.0), - test_t("{([1.0-2.0]+(3.0-4.0)+[5.0-6.0])}+[({+7.0}-{+8.0})+[{+9.0-0.0}]]",+5.0), - test_t("((+1.0+2.0))-[({+3.0+4.0})]-(({+5.0+6.0}))-[({+7.0}+8.0)]-(({+9.0}+{0.0}))",-39.0), - test_t("1+2-3*4/5+6-7*8/9+0",0.37777777777777777778), - test_t("1.1+2.2-3.3*4.4/5.5+6.6-7.7*8.8/9.9+0.0",0.41555555555555555556), - test_t("(1+2)-(3*4)/(5+6)-(7*8)/(9+0)",-4.31313131313131313131), - test_t("1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9",2.82896825396825396825), - test_t("(1/1)+(1/2)+(1/3)+(1/4)+(1/5)+(1/6)+(1/7)+(1/8)+(1/9)",2.82896825396825396825), - test_t("1.0/1.0+1.0/2.0+1.0/3.0+1.0/4.0+1.0/5.0+1.0/6.0+1.0/7.0+1.0/8.0+1.0/9",2.82896825396825396825), - test_t("(1.0/1.0)+(1.0/2.0)+(1.0/3.0)+(1.0/4.0)+(1.0/5.0)+(1.0/6.0)+(1.0/7.0)+(1.0/8.0)+(1.0/9)",2.82896825396825396825), - test_t("1/1*1/2*1/3*1/4*1/5*1/6*1/7*1/8*1/9",0.00000275573192239859), - test_t("(1/1)*(1/2)*(1/3)*(1/4)*(1/5)*(1/6)*(1/7)*(1/8)*(1/9)",0.00000275573192239859), - test_t("1.0/1.0*1.0/2.0*1.0/3.0*1.0/4.0*1.0/5.0*1.0/6.0*1.0/7.0*1.0/8.0*1.0/9",0.00000275573192239859), - test_t("(1.0/1.0)*(1.0/2.0)*(1.0/3.0)*(1.0/4.0)*(1.0/5.0)*(1.0/6.0)*(1.0/7.0)*(1.0/8.0)*(1.0/9)",0.00000275573192239859), - test_t("equal(poly01(1.2345,2.2,1.1),(2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly02(1.2345,3.3,2.2,1.1),(3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly03(1.2345,4.4,3.3,2.2,1.1),(4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly04(1.2345,5.5,4.4,3.3,2.2,1.1),(5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly05(1.2345,6.6,5.5,4.4,3.3,2.2,1.1),(6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly06(1.2345,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly07(1.2345,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly08(1.2345,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9*1.2345^8+8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly09(1.2345,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1*1.2345^9+9.9*1.2345^8+8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), - test_t("equal(poly10(1.37,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), - test_t("equal(poly11(1.37,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3*1.37^11+2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), - test_t("equal(poly12(1.37,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4*1.37^12+3.3*1.37^11+2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), - test_t("equal(\t \n(\n \r1.1\t\t - \n\n 2.2\n\n/\r3.3\t),(1.1-2.2/3.3))",1.0), - test_t("equal((pi^2^3),(pi^8))",1.0), - test_t("equal((pi^(2^3)),(pi^8))",1.0), - test_t("equal(pi^2^3-pi^8,0)",1.0), - test_t("equal((2*pi^2^3),2*(pi^8))",1.0), - test_t("equal((pi^2^3*2),2*(pi^8))",1.0), - test_t("equal((pi^2^3/2),(pi^8)/2)",1.0), - test_t("equal((pi^2.2^3.3),(pi^13.4894687605338489))",1.0), - test_t("equal((pi^(2.2^3.3)),(pi^13.4894687605338489))",1.0), - test_t("equal((2.2*pi^2.2^3.3),2.2*(pi^13.4894687605338489))",1.0), - test_t("equal((pi^2.2^3.3*2),2*(pi^13.4894687605338489))",1.0), - test_t("equal((pi^2.2^3.3/2.2),(pi^13.4894687605338489)/2.2)",1.0), - test_t("equal((pi^-2^3),1/(pi^8))",1.0), - test_t("equal((pi^(-2^3)),1/(pi^8))",1.0), - test_t("equal((pi^2^-3),(pi^(1/8)))",1.0), - test_t("equal((pi^(2^-3)),(pi^(1/8)))",1.0), - test_t("equal((pi^-2^-3),1/(pi^(1/8)))",1.0), - test_t("equal((pi^(-2^-3)),1/(pi^(1/8)))",1.0), - test_t("equal((-pi^2^3),(-pi^8))",1.0), - test_t("equal((-pi^(2^3)),(-pi^8))",1.0), - test_t("equal(-pi^2^3--pi^8,0)",1.0), - test_t("equal((2*-pi^2^3),2*(-pi^8))",1.0), - test_t("equal((-pi^2^3*2),2*(-pi^8))",1.0), - test_t("equal((-pi^2^3/2),(-pi^8)/2)",1.0), - test_t("equal((-pi^2.2^3.3),(-pi^13.4894687605338489))",1.0), - test_t("equal((-pi^(2.2^3.3)),(-pi^13.4894687605338489))",1.0), - test_t("equal((2.2*-pi^2.2^3.3),2.2*(-pi^13.4894687605338489))",1.0), - test_t("equal((-pi^2.2^3.3*2),2*(-pi^13.4894687605338489))",1.0), - test_t("equal((-pi^2.2^3.3/2.2),(-pi^13.4894687605338489)/2.2)",1.0), - test_t("equal((-pi^-2^3),1/(-pi^8))",1.0), - test_t("equal((-pi^(-2^3)),1/(-pi^8))",1.0), - test_t("equal((-pi^2^-3),(-pi^(1/8)))",1.0), - test_t("equal((-pi^(2^-3)),(-pi^(1/8)))",1.0), - test_t("equal((-pi^-2^-3),1/(-pi^(1/8)))",1.0), - test_t("equal((-pi^(-2^-3)),1/(-pi^(1/8)))",1.0), - test_t("equal((+pi^+2^+3),(+pi^+8))",1.0), - test_t("equal((+pi^(2^3)),(+pi^+8))",1.0), - test_t("equal(+pi^+2^+3-+pi^+8,0)",1.0), - test_t("equal((+2*+pi^+2^+3),+2*(+pi^+8))",1.0), - test_t("equal((+pi^+2^+3*+2),+2*(+pi^+8))",1.0), - test_t("equal((+pi^+2^+3/+2),(+pi^+8)/+2)",1.0), - test_t("equal((+pi^+2.2^+3.3),(+pi^+13.4894687605338489))",1.0), - test_t("equal((+pi^(+2.2^+3.3)),(+pi^+13.4894687605338489))",1.0), - test_t("equal((+2.2*+pi^+2.2^+3.3),+2.2*(+pi^+13.4894687605338489))",1.0), - test_t("equal((+pi^+2.2^+3.3*+2),+2*(+pi^+13.4894687605338489))",1.0), - test_t("equal((+pi^+2.2^+3.3/+2.2),(+pi^+13.4894687605338489)/+2.2)",1.0), - test_t("equal((+pi^-2^3),1/(+pi^+8))",1.0), - test_t("equal((+pi^(-2^3)),1/(+pi^+8))",1.0), - test_t("equal((+pi^2^-3),(+pi^(+1/+8)))",1.0), - test_t("equal((+pi^(2^-3)),(+pi^(+1/+8)))",1.0), - test_t("equal((+pi^-2^-3),1/(+pi^(+1/+8)))",1.0), - test_t("equal((+pi^(-2^-3)),1/(+pi^(+1/+8)))",1.0), - test_t("equal((-pi^+2^+3),(-pi^+8))",1.0), - test_t("equal((-pi^(2^3)),(-pi^+8))",1.0), - test_t("equal(-pi^+2^+3--pi^+8,0)",1.0), - test_t("equal((+2*-pi^+2^+3),2*(-pi^+8))",1.0), - test_t("equal((-pi^+2^+3*2),2*(-pi^+8))",1.0), - test_t("equal((-pi^+2^+3/+2),(-pi^+8)/+2)",1.0), - test_t("equal((-pi^+2.2^+3.3),(-pi^+13.4894687605338489))",1.0), - test_t("equal((-pi^(2.2^3.3)),(-pi^+13.4894687605338489))",1.0), - test_t("equal((+2.2*-pi^+2.2^+3.3),2.2*(-pi^+13.4894687605338489))",1.0), - test_t("equal((-pi^+2.2^+3.3*2),2*(-pi^+13.4894687605338489))",1.0), - test_t("equal((-pi^+2.2^+3.3/+2.2),(-pi^+13.4894687605338489)/+2.2)",1.0), - test_t("equal((-pi^-2^3),1/(-pi^+8))",1.0), - test_t("equal((-pi^(-2^3)),1/(-pi^+8))",1.0), - test_t("equal((-pi^2^-3),(-pi^(+1/+8)))",1.0), - test_t("equal((-pi^(2^-3)),(-pi^(+1/+8)))",1.0), - test_t("equal((-pi^-2^-3),1/(-pi^(+1/+8)))",1.0), - test_t("equal((-pi^(-2^-3)),1/(-pi^(+1/+8)))",1.0), - test_t("switch { case (1 <= 2) : 1; default: 1.12345; }",1.0), - test_t("switch { case (1 > 2) : 0; case (1 <= 2) : 1; default: 1.12345; }",1.0), - test_t("switch { case (1 <= 2) : switch { case (1 <= 2) : 1; default: 1.12345; }; default: 1.12345; }",1.0), - test_t("switch { case [1 <= 2] : 1; default: 1.12345; }",1.0), - test_t("switch { case [1 > 2] : 0; case [1 <= 2] : 1; default: 1.12345; }",1.0), - test_t("switch { case [1 <= 2] : switch { case [1 <= 2] : 1; default: 1.12345; }; default: 1.12345; }",1.0), - test_t("switch { case {1 <= 2} : 1; default: 1.12345; }",1.0), - test_t("switch { case {1 > 2} : 0; case {1 <= 2} : 1; default: 1.12345; }",1.0), - test_t("switch { case {1 <= 2} : switch { case {1 <= 2} : 1; default: 1.12345; }; default: 1.12345; }",1.0), - test_t("switch { case [(1 <= 2)] : {1}; default: 1.12345; }",1.0), - test_t("switch { case ([1 > 2]) : [0]; case ([1 <= 2]) : 1; default: 1.12345; }",1.0), - test_t("switch { case {(1 <= 2)} : switch { case ({1 <= 2}) : 1; default: 1.12345; }; default: 1.12345; }",1.0), - test_t("switch { case 1 > 1 : 1; case 2 > 2 : 2; case 3 = 3 : 3; case 4 > 4 : 4; default : 5; }",3.0), - test_t("repeat 1.1 + 2.2 until (1 < 2)",3.3), - test_t("repeat (1.1 + 2.2) until (1 < 2)",3.3), - test_t("repeat 1.1 + 2.2; until (1 < 2)",3.3), - test_t("repeat (1.1 + 2.2); until (1 < 2)",3.3), - test_t("repeat 1.1234; 1 < 2; 1.1 + 2.2 until (1 < 2)",3.3), - test_t("repeat 1.1234; 1 < 2; (1.1 + 2.2) until (1 < 2)",3.3), - test_t("repeat 1.1234; 1 < 2; 1.1 + 2.2; until (1 < 2)",3.3), - test_t("repeat 1.1234; 1 < 2; (1.1 + 2.2); until (1 < 2)",3.3), - test_t("[*] { case 1 < 2 : 1 / 2; case (1 < 3) : 2 / 2; case 1 < 4 : 3 / 2; case (1 < 5) : 4 / 2; }",2.0), - test_t(" 0 ? 1 : 2",2.0), - test_t(" 1 ? 3 : 4",3.0), - test_t("(0 ? 1 : 2) == 2",1.0), - test_t("(1 ? 3 : 4) == 3",1.0), - test_t("[(0)] ? [(1)] : [(2)]",2.0), - test_t("([(0)] ? [(1)] : [(2)]) == 2",1.0), - test_t("([(1)] ? [(3)] : [(4)]) == 3",1.0), - test_t("(1 < 2 ? 3 : 4) == 3",1.0), - test_t("(1 > 2 ? 3 : 4) == 4",1.0), - test_t("(1 < 2 ? 3 + 5 : 4) == 8",1.0), - test_t("(1 > 2 ? 3 : 4 + 5) == 9",1.0), - test_t("(2 < 3 + 3 ? 7 : 9) == 7",1.0), - test_t("(1 + 1 < 3 ? 7 : 9) == 7",1.0), - test_t("(1 + 1 < 3 + 3 ? 7 : 9) == 7",1.0), - test_t("(2 > 3 + 3 ? 7 : 9) == 9",1.0), - test_t("(1 + 1 > 3 ? 7 : 9) == 9",1.0), - test_t("(1 + 1 > 3 + 3 ? 7 : 9) == 9",1.0), - test_t("(2 < (3 + 3) ? 7 : 9) == 7",1.0), - test_t("((1 + 1) < 3 ? 7 : 9) == 7",1.0), - test_t("((1 + 1) < (3 + 3) ? 7 : 9) == 7",1.0), - test_t("(min(1,2) ? 1 + 3 : 1 + 4) == 4",1.0), - test_t("(min(0,1) ? 1 + 3 : 1 + 4) == 5",1.0), - test_t("if (1 < 2) 3; == 3",1.0), - test_t("if (1 > 2) 3; == null",1.0), - test_t("if (1 < 2) 3; else 4; == 3",1.0), - test_t("if (1 > 2) 3; else 4; == 4",1.0), - test_t("if (1 < 2) 3; else {1+2; 4;} == 3",1.0), - test_t("if (1 > 2) 3; else {1+2; 4;} == 4",1.0), - test_t("if (1 < 2) 3; else if (1 < 2) 4; == 3",1.0), - test_t("if (1 > 2) 3; else if (1 < 2) 4; == 4",1.0), - test_t("if (1 > 2) 3; else if (1 > 2) 4; == null",1.0), - test_t("if (1 < 2) 3; else if (1 < 2) {1+2; 4;} == 3",1.0), - test_t("if (1 > 2) 3; else if (1 < 2) {1+2; 4;} == 4",1.0), - test_t("if (1 > 2) 3; else if (1 > 2) {1+2; 4;} == null",1.0), - test_t("if (1 < 2) { 1+2; 3;} == 3",1.0), - test_t("if (1 > 2) { 1+2; 3;} == null",1.0), - test_t("if (1 < 2) { 1+2; 3;} else 4; == 3",1.0), - test_t("if (1 > 2) { 1+2; 3;} else 4; == 4",1.0), - test_t("if (1 < 2) { 1+2; 3;} else {1+2; 4;} == 3",1.0), - test_t("if (1 > 2) { 1+2; 3;} else {1+2; 4;} == 4",1.0), - test_t("if (1 < 2) { 1+2; 3;} else if (1 < 2) 4; == 3",1.0), - test_t("if (1 > 2) { 1+2; 3;} else if (1 < 2) 4; == 4",1.0), - test_t("if (1 > 2) { 1+2; 3;} else if (1 > 2) 4; == null",1.0), - test_t("if (1 < 2) { 1+2; 3;} else if (1 < 2) {1+2; 4;} == 3",1.0), - test_t("if (1 > 2) { 1+2; 3;} else if (1 < 2) {1+2; 4;} == 4",1.0), - test_t("if (1 > 2) { 1+2; 3;} else if (1 > 2) {1+2; 4;} == null",1.0) -}; - -static const std::size_t global_test_list_size = sizeof(global_test_list) / sizeof(test_t); - -template -inline bool not_equal_impl(const T& t1, - const T& t2, - const T& epsilon = 0.0000000001/*std::numeric_limits::epsilon()*/) -{ - if (t1 != t1) return true; - if (t2 != t2) return true; - T diff = std::abs(t1 - t2); - T eps_norm = (std::max(T(1),std::max(std::abs(t1),std::abs(t2))) * epsilon); - return diff > eps_norm; -} - -template -inline bool not_equal(const T& t0, const T& t1, - const T& epsilon = T(0.0000000001)) -{ - return not_equal_impl(t0,t1,epsilon); -} - -inline bool not_equal(const float& t0, const float& t1, const float& epsilon = 0.000001f) -{ - return not_equal_impl(t0,t1,epsilon); -} - -template -inline bool test_expression(const std::string& expression_string, const T& expected_result) -{ - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - - exprtk::polynomial poly01; - exprtk::polynomial poly02; - exprtk::polynomial poly03; - exprtk::polynomial poly04; - exprtk::polynomial poly05; - exprtk::polynomial poly06; - exprtk::polynomial poly07; - exprtk::polynomial poly08; - exprtk::polynomial poly09; - exprtk::polynomial poly10; - exprtk::polynomial poly11; - exprtk::polynomial poly12; - - symbol_table.add_function("poly01", poly01); - symbol_table.add_function("poly02", poly02); - symbol_table.add_function("poly03", poly03); - symbol_table.add_function("poly04", poly04); - symbol_table.add_function("poly05", poly05); - symbol_table.add_function("poly06", poly06); - symbol_table.add_function("poly07", poly07); - symbol_table.add_function("poly08", poly08); - symbol_table.add_function("poly09", poly09); - symbol_table.add_function("poly10", poly10); - symbol_table.add_function("poly11", poly11); - symbol_table.add_function("poly12", poly12); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("test_expression() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - if (!exprtk::expression_helper::is_literal(expression)) - { - printf("test_expression() - Error: Expression did not compile to a constant! Expression: %s\n", - expression_string.c_str()); - - return false; - } - - const T result = expression.value(); - - if (not_equal(result,expected_result)) - { - printf("test_expression() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", - expression_string.c_str(), - static_cast(expected_result), - static_cast(result)); - - return false; - } - - return true; -} - -template -struct edge_cases {}; - -template <> -struct edge_cases -{ - static inline std::vector test_cases() - { - std::vector cases; - cases.push_back(test_t(" 1.175494350822287508e-38", 1.175494350822287508e-38)); - cases.push_back(test_t(" 3.402823466385288598e+38", 3.402823466385288598e+38)); - cases.push_back(test_t("+1.175494350822287508e-38", +1.175494350822287508e-38)); - cases.push_back(test_t("+3.402823466385288598e+38", +3.402823466385288598e+38)); - cases.push_back(test_t("-1.175494350822287508e-38", -1.175494350822287508e-38)); - cases.push_back(test_t("-3.402823466385288598e+38", -3.402823466385288598e+38)); - - return cases; - } -}; - -template <> -struct edge_cases -{ - static inline std::vector test_cases() - { - std::vector cases; - cases.push_back(test_t(" 2.2250738585072013831e-308", 2.2250738585072013831e-308)); - cases.push_back(test_t(" 1.7976931348623157081e+308", 1.7976931348623157081e+308)); - cases.push_back(test_t("+2.2250738585072013831e-308", +2.2250738585072013831e-308)); - cases.push_back(test_t("+1.7976931348623157081e+308", +1.7976931348623157081e+308)); - cases.push_back(test_t("-2.2250738585072013831e-308", -2.2250738585072013831e-308)); - cases.push_back(test_t("-1.7976931348623157081e+308", -1.7976931348623157081e+308)); - - return cases; - } -}; - -template -bool run_test00() -{ - const std::size_t rounds = 10; - - for (std::size_t r = 0; r < rounds; ++r) - { - bool result = true; - - for (std::size_t i = 0; i < global_test_list_size; ++i) - { - if (!test_expression(global_test_list[i].first,T(global_test_list[i].second))) - { - result = false; - } - } - - if (!result) - { - return false; - } - } - - { - const std::vector tests = edge_cases::test_cases(); - - bool result = true; - - for (std::size_t i = 0; i < tests.size(); ++i) - { - if (!test_expression(tests[i].first,T(tests[i].second))) - { - result = false; - } - } - - if (!result) - { - return false; - } - } - - return true; -} - -template -struct test_xy -{ - test_xy(const std::string& e, const T& v0, const T& v1, const T& r) - : expr(e) - , x(v0) - , y(v1) - , result(r) - {} - - std::string expr; - T x; - T y; - T result; -}; - -template -struct test_xyzw -{ - test_xyzw(const std::string& e, const T& v0, const T& v1, const T& v2, const T& v3, const T& r) - : expr(e) - , x(v0) - , y(v1) - , z(v2) - , w(v3) - , result(r) - {} - - std::string expr; - T x; - T y; - T z; - T w; - T result; -}; - -template -bool run_test01() -{ - { - static const test_xy test_list[] = - { - test_xy("x + y" ,T(2.2),T(3.3),T(5.5 )), - test_xy("x - y" ,T(3.3),T(2.2),T(1.1 )), - test_xy("x * y" ,T(3.3),T(2.2),T(7.26 )), - test_xy("x / y" ,T(3.3),T(2.2),T(1.5 )), - test_xy("(x + y) * (x + y)" ,T(2.2),T(3.3),T(30.25)), - test_xy("(x + y) / (x + y)" ,T(2.2),T(3.3),T(1.0 )), - test_xy("x + y > x and x + y > y" ,T(2.2),T(3.3),T(1.0)), - test_xy("1 + (x + y)" ,T(2.2),T(3.3),T(6.5 )), - test_xy("(x + y) - 1" ,T(2.2),T(3.3),T(4.5 )), - test_xy("1 + (x + y) * 2" ,T(2.2),T(3.3),T(12.0 )), - test_xy("2 * (x + y) - 1" ,T(2.2),T(3.3),T(10.0 )), - test_xy("y + (x + 1)" ,T(2.2),T(3.3),T(6.5 )), - test_xy("(x + 1) + y" ,T(2.2),T(3.3),T(6.5 )), - test_xy("2 * x" ,T(2.2),T(0.0),T(4.4)), - test_xy("x * 2" ,T(2.2),T(0.0),T(4.4)), - test_xy("1.1 + x" ,T(2.2),T(0.0),T(3.3)), - test_xy("x + 1.1" ,T(2.2),T(0.0),T(3.3)), - test_xy("x - -1 " ,T(1.0),T(0.0),T(2)), - test_xy("x --1 " ,T(1.0),T(0.0),T(2)), - test_xy("x-- 1 " ,T(1.0),T(0.0),T(2)), - test_xy("x--1 " ,T(1.0),T(0.0),T(2)), - test_xy("x -- -1" ,T(1.0),T(0.0),T(0)), - test_xy("x + -1 " ,T(1.0),T(0.0),T(0)), - test_xy("x +-1 " ,T(1.0),T(0.0),T(0)), - test_xy("x+- 1 " ,T(1.0),T(0.0),T(0)), - test_xy("x+-1 " ,T(1.0),T(0.0),T(0)), - test_xy("x +- -1" ,T(1.0),T(0.0),T(2)), - test_xy("x + +1 " ,T(1.0),T(0.0),T(2)), - test_xy("x ++1 " ,T(1.0),T(0.0),T(2)), - test_xy("1 - -x " ,T(1.0),T(0.0),T(2)), - test_xy("1 --x " ,T(1.0),T(0.0),T(2)), - test_xy("1-- x " ,T(1.0),T(0.0),T(2)), - test_xy("1--x " ,T(1.0),T(0.0),T(2)), - test_xy("1 -- -x" ,T(1.0),T(0.0),T(0)), - test_xy("1 + -x " ,T(1.0),T(0.0),T(0)), - test_xy("1 +-x " ,T(1.0),T(0.0),T(0)), - test_xy("1+- x " ,T(1.0),T(0.0),T(0)), - test_xy("1+-x " ,T(1.0),T(0.0),T(0)), - test_xy("1 +- -x" ,T(1.0),T(0.0),T(2)), - test_xy("1 + +x " ,T(1.0),T(0.0),T(2)), - test_xy("1 ++x " ,T(1.0),T(0.0),T(2)), - test_xy("(x - -1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x --1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x-- 1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x--1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x -- -1 + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x + -1 + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x +-1 + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x+- 1 + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x+-1 + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x +- -1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x + +1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x ++1 + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1 - -x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1 --x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1-- x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1--x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1 -- -x + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 + -x + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 +-x + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1+- x + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1+-x + 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 +- -x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1 + +x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(1 ++x + 1)" ,T(1.0),T(0.0),T(3)), - test_xy("(x - -1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x --1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x-- 1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x--1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x -- -1 - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(x + -1 - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(x +-1 - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(x+- 1 - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(x+-1 - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(x +- -1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x + +1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(x ++1 - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 - -x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 --x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1-- x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1--x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 -- -x - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(1 + -x - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(1 +-x - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(1+- x - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(1+-x - 1)" ,T(1.0),T(0.0),T(-1)), - test_xy("(1 +- -x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 + +x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("(1 ++x - 1)" ,T(1.0),T(0.0),T(1)), - test_xy("x * 1 == x" ,T(2.0),T(3.0),T(1.0)), - test_xy("1 * x == x" ,T(2.0),T(3.0),T(1.0)), - test_xy("y * 1 == y" ,T(2.0),T(3.0),T(1.0)), - test_xy("1 * y == y" ,T(2.0),T(3.0),T(1.0)), - test_xy("x * 0 == 0" ,T(2.0),T(3.0),T(1.0)), - test_xy("0 * x == 0" ,T(2.0),T(3.0),T(1.0)), - test_xy("y * 0 == 0" ,T(2.0),T(3.0),T(1.0)), - test_xy("0 * y == 0" ,T(2.0),T(3.0),T(1.0)), - test_xy("x + 1 == 1 + x" ,T(2.0),T(3.0),T(1.0)), - test_xy("y + 1 == 1 + y" ,T(2.0),T(3.0),T(1.0)), - test_xy("x + y == y + x" ,T(2.0),T(3.0),T(1.0)), - test_xy("x * y == y * x" ,T(2.0),T(3.0),T(1.0)), - test_xy("x < y" ,T(2.0),T(3.0),T(1.0)), - test_xy("y > x" ,T(2.0),T(3.0),T(1.0)), - test_xy("x <= y" ,T(2.0),T(3.0),T(1.0)), - test_xy("y >= x" ,T(2.0),T(3.0),T(1.0)), - test_xy("x + y > y" ,T(2.0),T(3.0),T(1.0)), - test_xy("x + y > x" ,T(2.0),T(3.0),T(1.0)), - test_xy("x * y > y" ,T(2.0),T(3.0),T(1.0)), - test_xy("x * y > x" ,T(2.0),T(3.0),T(1.0)), - test_xy("(x + y) > y" ,T(2.0),T(3.0),T(1.0)), - test_xy("(x + y) > x" ,T(2.0),T(3.0),T(1.0)), - test_xy("(x * y) > y" ,T(2.0),T(3.0),T(1.0)), - test_xy("(x * y) > x" ,T(2.0),T(3.0),T(1.0)), - test_xy("(2x + 3y) == (2*x + 3*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy("2(x + y) == (2*x + 2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x + y)3 == (3*x + 3*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy("2x + 3y == 2*x + 3*y" ,T(2.0),T(3.0),T(1.0)), - test_xy("2(x + y) == 2*x + 2*y" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x + y)3 == 3*x + 3*y" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x)y == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" x(y) == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x) y == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" x (y) == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" ((x) y) == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x (y)) == (x*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x)3 == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" x(3) == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x) 3 == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" x (3) == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" ((x) 3) == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (x (3)) == (x*3)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (2)y == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" 2(y) == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (2) y == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" 2 (y) == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" ((2) y) == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy(" (2 (y)) == (2*y)" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (a)(3) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (A){3} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (a)[3] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}(3) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}{3} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}[3] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (a)(b) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (a){B} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (a)[b] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {a}(b) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {a}{b} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {a}[b] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (a)(a+1) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (a){a+1} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; (a)[a+1] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}(a+1) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}{a+1} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; {a}[a+1] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (b-1)(b) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (b-1){b} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; (b-1)[b] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {b-1}(b) == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {b-1}{b} == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("var a := 2; var b := 3; {b-1}[b] == 6" ,T(2.0),T(3.0),T(1.0)), - test_xy("equal(x^2.2^1.1,17.15193942371376191362)" ,T(3.3),T(0.0),T(1.0)), - test_xy("equal(3.3^x^1.1,17.15193942371376191362)" ,T(2.2),T(0.0),T(1.0)), - test_xy("equal(3.3^2.2^x,17.15193942371376191362)" ,T(1.1),T(0.0),T(1.0)), - test_xy("equal(x^2.2^y,17.15193942371376191362)" ,T(3.3),T(1.1),T(1.0)), - test_xy("equal(x^y^1.1,17.15193942371376191362)" ,T(3.3),T(2.2),T(1.0)), - test_xy("equal(3.3^x^y,17.15193942371376191362)" ,T(2.2),T(1.1),T(1.0)), - test_xy("equal(x+y^3/7,x+(y*y*y)/7)",T(2.0),T(3.0),T(1.0)), - test_xy("equal(1-x^3+y^2*7,1-(x*x*x)+(y*y)*7)",T(2.0),T(3.0),T(1.0)), - test_xy("equal( x^0,1)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^1,x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^2,x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^3,x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^4,x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^5,x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^6,x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^7,x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^8,x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^9,x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^10,x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^11,x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^12,x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^13,x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^14,x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^15,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^16,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^17,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^18,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^19,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^20,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^21,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^22,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^23,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^24,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^25,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( y^0,1)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^1,y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^2,y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^3,y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^4,y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^5,y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^6,y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^7,y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^8,y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^9,y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^10,y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^11,y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^12,y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^13,y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^14,y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^15,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^16,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^17,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^18,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^19,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^20,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^21,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^22,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^23,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^24,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^25,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( x^-0,1/1)",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-1,1/(x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-2,1/(x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-3,1/(x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-4,1/(x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-5,1/(x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-6,1/(x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-7,1/(x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-8,1/(x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( x^-9,1/(x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-10,1/(x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-11,1/(x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-12,1/(x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-13,1/(x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-14,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-15,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-16,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-17,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-18,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-19,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-20,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-21,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-22,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-23,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-24,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal(x^-25,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), - test_xy("equal( y^-0,1/1)",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-1,1/(y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-2,1/(y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-3,1/(y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-4,1/(y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-5,1/(y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-6,1/(y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-7,1/(y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-8,1/(y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal( y^-9,1/(y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-10,1/(y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-11,1/(y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-12,1/(y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-13,1/(y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-14,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-15,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-16,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-17,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-18,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-19,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-20,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-21,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-22,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-23,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-24,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("equal(y^-25,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), - test_xy("(2 + x) + 7",T(3.0),T(0.0),T((2.0 + 3.0) + 7.0)), - test_xy("(2 + x) - 7",T(3.0),T(0.0),T((2.0 + 3.0) - 7.0)), - test_xy("(2 - x) + 7",T(3.0),T(0.0),T((2.0 - 3.0) + 7.0)), - test_xy("(2 - x) - 7",T(3.0),T(0.0),T((2.0 - 3.0) - 7.0)), - test_xy("(2 * x) * 7",T(3.0),T(0.0),T((2.0 * 3.0) * 7.0)), - test_xy("(2 * x) / 7",T(3.0),T(0.0),T((2.0 * 3.0) / 7.0)), - test_xy("(2 / x) * 7",T(3.0),T(0.0),T((2.0 / 3.0) * 7.0)), - test_xy("(2 / x) / 7",T(3.0),T(0.0),T((2.0 / 3.0) / 7.0)), - test_xy("2 + (x + 7)",T(3.0),T(0.0),T(2.0 + (3.0 + 7.0))), - test_xy("2 + (x - 7)",T(3.0),T(0.0),T(2.0 + (3.0 - 7.0))), - test_xy("2 - (x + 7)",T(3.0),T(0.0),T(2.0 - (3.0 + 7.0))), - test_xy("2 - (x - 7)",T(3.0),T(0.0),T(2.0 - (3.0 - 7.0))), - test_xy("2 * (x * 7)",T(3.0),T(0.0),T(2.0 * (3.0 * 7.0))), - test_xy("2 * (x / 7)",T(3.0),T(0.0),T(2.0 * (3.0 / 7.0))), - test_xy("2 / (x * 7)",T(3.0),T(0.0),T(2.0 / (3.0 * 7.0))), - test_xy("2 / (x / 7)",T(3.0),T(0.0),T(2.0 / (3.0 / 7.0))), - test_xy("2 + (7 + x)",T(3.0),T(0.0),T(2.0 + (7.0 + 3.0))), - test_xy("2 + (7 - x)",T(3.0),T(0.0),T(2.0 + (7.0 - 3.0))), - test_xy("2 - (7 + x)",T(3.0),T(0.0),T(2.0 - (7.0 + 3.0))), - test_xy("2 - (7 - x)",T(3.0),T(0.0),T(2.0 - (7.0 - 3.0))), - test_xy("2 * (7 * x)",T(3.0),T(0.0),T(2.0 * (7.0 * 3.0))), - test_xy("2 * (7 / x)",T(3.0),T(0.0),T(2.0 * (7.0 / 3.0))), - test_xy("2 / (7 * x)",T(3.0),T(0.0),T(2.0 / (7.0 * 3.0))), - test_xy("2 / (7 / x)",T(3.0),T(0.0),T(2.0 / (7.0 / 3.0))), - test_xy("(x + 2) + 7",T(3.0),T(0.0),T((3.0 + 2.0) + 7.0)), - test_xy("(x + 2) - 7",T(3.0),T(0.0),T((3.0 + 2.0) - 7.0)), - test_xy("(x - 2) + 7",T(3.0),T(0.0),T((3.0 - 2.0) + 7.0)), - test_xy("(x - 2) - 7",T(3.0),T(0.0),T((3.0 - 2.0) - 7.0)), - test_xy("(x * 2) * 7",T(3.0),T(0.0),T((3.0 * 2.0) * 7.0)), - test_xy("(x * 2) / 7",T(3.0),T(0.0),T((3.0 * 2.0) / 7.0)), - test_xy("(x / 2) * 7",T(3.0),T(0.0),T((3.0 / 2.0) * 7.0)), - test_xy("(x / 2) / 7",T(3.0),T(0.0),T((3.0 / 2.0) / 7.0)), - test_xy("((2 + x) + (3 + y))",T(7.0),T(9.0),T(((2.0 + 7.0) + (3.0 + 9.0)))), - test_xy("((2 + x) - (3 + y))",T(7.0),T(9.0),T(((2.0 + 7.0) - (3.0 + 9.0)))), - test_xy("((2 - x) - (3 - y))",T(7.0),T(9.0),T(((2.0 - 7.0) - (3.0 - 9.0)))), - test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), - test_xy("((x + 2) + (y + 3))",T(7.0),T(9.0),T(((7.0 + 2.0) + (9.0 + 3.0)))), - test_xy("((x + 2) - (y + 3))",T(7.0),T(9.0),T(((7.0 + 2.0) - (9.0 + 3.0)))), - test_xy("((x - 2) - (y - 3))",T(7.0),T(9.0),T(((7.0 - 2.0) - (9.0 - 3.0)))), - test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), - test_xy("((2 + x) + (y + 3))",T(7.0),T(9.0),T(((2.0 + 7.0) + (9.0 + 3.0)))), - test_xy("((2 + x) - (y + 3))",T(7.0),T(9.0),T(((2.0 + 7.0) - (9.0 + 3.0)))), - test_xy("((2 - x) - (y - 3))",T(7.0),T(9.0),T(((2.0 - 7.0) - (9.0 - 3.0)))), - test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), - test_xy("((x + 2) + (3 + y))",T(7.0),T(9.0),T(((7.0 + 2.0) + (3.0 + 9.0)))), - test_xy("((x + 2) - (3 + y))",T(7.0),T(9.0),T(((7.0 + 2.0) - (3.0 + 9.0)))), - test_xy("((x - 2) - (3 - y))",T(7.0),T(9.0),T(((7.0 - 2.0) - (3.0 - 9.0)))), - test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), - test_xy("((2 * x) / (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) / (3.0 * 9.0)))), - test_xy("((2 / x) * (3 / y))",T(7.0),T(9.0),T(((2.0 / 7.0) * (3.0 / 9.0)))), - test_xy("((2 * x) / (3 / y))",T(7.0),T(9.0),T(((2.0 * 7.0) / (3.0 / 9.0)))), - test_xy("((2 / x) / (3 * y))",T(7.0),T(9.0),T(((2.0 / 7.0) / (3.0 * 9.0)))), - test_xy("((x * 2) / (y * 3))",T(7.0),T(9.0),T(((7.0 * 2.0) / (9.0 * 3.0)))), - test_xy("((x / 2) * (y / 3))",T(7.0),T(9.0),T(((7.0 / 2.0) * (9.0 / 3.0)))), - test_xy("((x * 2) / (y / 3))",T(7.0),T(9.0),T(((7.0 * 2.0) / (9.0 / 3.0)))), - test_xy("((x / 2) / (y * 3))",T(7.0),T(9.0),T(((7.0 / 2.0) / (9.0 * 3.0)))), - test_xy("((2 * x) / (y * 3))",T(7.0),T(9.0),T(((2.0 * 7.0) / (9.0 * 3.0)))), - test_xy("((2 / x) * (y / 3))",T(7.0),T(9.0),T(((2.0 / 7.0) * (9.0 / 3.0)))), - test_xy("((2 * x) / (y / 3))",T(7.0),T(9.0),T(((2.0 * 7.0) / (9.0 / 3.0)))), - test_xy("((2 / x) / (y * 3))",T(7.0),T(9.0),T(((2.0 / 7.0) / (9.0 * 3.0)))), - test_xy("((x * 2) / (3 * y))",T(7.0),T(9.0),T(((7.0 * 2.0) / (3.0 * 9.0)))), - test_xy("((x / 2) * (3 / y))",T(7.0),T(9.0),T(((7.0 / 2.0) * (3.0 / 9.0)))), - test_xy("((x * 2) / (3 / y))",T(7.0),T(9.0),T(((7.0 * 2.0) / (3.0 / 9.0)))), - test_xy("((x / 2) / (3 * y))",T(7.0),T(9.0),T(((7.0 / 2.0) / (3.0 * 9.0)))), - test_xy("([(min(x,8) + y) + 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) - 4.0))), - test_xy("([(min(x,8) + y) + 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) + 4.0))), - test_xy("([(min(x,8) + y) + 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) * 4.0))), - test_xy("([(min(x,8) + y) + 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) / 4.0))), - test_xy("([(min(x,8) + y) - 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) - 4.0))), - test_xy("([(min(x,8) + y) - 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) + 4.0))), - test_xy("([(min(x,8) + y) - 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) * 4.0))), - test_xy("([(min(x,8) + y) - 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) / 4.0))), - test_xy("([(min(x,8) + y) * 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) - 4.0))), - test_xy("([(min(x,8) + y) * 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) + 4.0))), - test_xy("([(min(x,8) + y) * 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) * 4.0))), - test_xy("([(min(x,8) + y) * 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) / 4.0))), - test_xy("([(min(x,8) + y) / 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) - 4.0))), - test_xy("([(min(x,8) + y) / 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) + 4.0))), - test_xy("([(min(x,8) + y) / 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) * 4.0))), - test_xy("([(min(x,8) + y) / 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) / 4.0))), - test_xy("(4 - [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 + (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 + [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 + (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 * [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 + (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 / [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 + (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 - [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 - (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 + [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 - (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 * [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 - (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 / [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 - (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 - [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 * (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 + [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 * (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 * [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 * (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 / [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 * (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 - [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 / (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 + [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 / (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 * [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 / (std::min(7.0,8.0) + 9.0))))), - test_xy("(4 / [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 / (std::min(7.0,8.0) + 9.0))))), - test_xy("((2 * x) + (2 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) + (2.0 * 9.0)))), - test_xy("((2 * x) - (2 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) - (2.0 * 9.0)))), - test_xy("((2 * x) + (y * 2))",T(7.0),T(9.0),T(((2.0 * 7.0) + (9.0 * 2.0)))), - test_xy("((x * 2) - (y * 2))",T(7.0),T(9.0),T(((7.0 * 2.0) - (9.0 * 2.0)))), - test_xy("0 * (abs (x) + acos (y) + asin (x) + atan (y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (ceil (x) + cos (y) + cosh (x) + exp (y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (floor(x) + log (y) + log10(x) + round(y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (sin (x) + sinh (y) + sqrt (x) + tan (y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (sec (x) + csc (y) + tanh (x) + cot (y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (erf (x) + erfc (y) + sgn (y) + frac (y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (log1p(x) + expm1(y) + acosh(x) + asinh(y))",T(1.0),T(1.0),T(0.0)), - test_xy("0 * (deg2grad(x) + grad2deg(y) + rad2deg(x) + deg2rad(y))",T(1.0),T(1.0),T(0.0)), - test_xy("switch { case (x <= y) : (y - x); default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case (x > y) : 0; case (x <= y) : (y - x); default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case (x <= y) : switch { case (x <= y) : (y - x); default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case [x <= y] : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case [x > y] : 0; case [x <= y] : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case [x <= y] : switch { case [x <= y] : {y - x}; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case {x <= y} : x; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case {x > y} : 0; case {x <= y} : {y - x}; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case {x <= y} : switch { case {x <= y} : x; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case [(x <= y)] : {y - x}; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case ([x > y]) : [0]; case ([x <= y]) : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("switch { case {(x <= y)} : switch { case ({x <= y}) : x; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), - test_xy("[*]{ case x < y : x + y; case y < x : y - x; }",T(2.0),T(3.0),T(5.0)), - test_xy("[*]{ case x > y : x + y; case y > x : y - x; }",T(2.0),T(3.0),T(1.0)), - test_xy("[*]{ case x > y : x - y; case y < x : y + x; }",T(2.0),T(3.0),T(0.0)), - test_xy("0 ? x : y" ,T(1.0),T(2.0),T( 2.0)), - test_xy("1 ? x : y" ,T(1.0),T(2.0),T( 1.0)), - test_xy("x ? x : y" ,T(1.0),T(2.0),T( 1.0)), - test_xy("x ? x : y" ,T(0.0),T(2.0),T( 2.0)), - test_xy("(x + y < 4) ? 1 : 2" ,T(1.0),T(2.0),T( 1.0)), - test_xy("(x + y > 4) ? 1 : 2" ,T(1.0),T(2.0),T( 2.0)), - test_xy("x < y ? x + y : x - y" ,T(1.0),T(2.0),T( 3.0)), - test_xy("x > y ? x + y : x - y" ,T(1.0),T(2.0),T(-1.0)), - test_xy("(x + x < y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), - test_xy("(x + x < y + y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), - test_xy("(x > y + y ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), - test_xy("(x + x > y ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), - test_xy("(x + x > y + 3 ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), - test_xy("(x < (y + y) ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), - test_xy("((x + x) < y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), - test_xy("((x + x) < (y + y) ? 7 : 9) == 7",T(1.0),T(3.0),T( 1.0)), - test_xy("(x += 2 ) == 3 " ,T(1),T(3),T(1)), - test_xy("(x += 2y) == 7 " ,T(1),T(3),T(1)), - test_xy("(x -= 2 ) == -1 " ,T(1),T(3),T(1)), - test_xy("(x -= 2y) == -5 " ,T(1),T(3),T(1)), - test_xy("(x *= 2 ) == 2 " ,T(1),T(3),T(1)), - test_xy("(x *= 2y) == 6 " ,T(1),T(3),T(1)), - test_xy("(x /= 2 ) == (1/2)" ,T(1),T(3),T(1)), - test_xy("(x /= 2y) == (1/6)" ,T(1),T(3),T(1)), - test_xy("for(var i := 0; (i < 10);) { i += 1; }; x;" ,T(1),T(20),T( 1)), - test_xy("for(var i := 0; (i < 10) and (i != y); i+=2) { x += i; }; x;" ,T(1),T(20),T(21)), - test_xy("for(var i := 0; (i < 10) and (i != y);) { x += i; i+=2; }; x;",T(1),T(20),T(21)), - test_xy("for(var i := 0; (i < y); i += 1) { if (i <= (y / 2)) x += i; else break; }; x;" ,T(0),T(10),T(15)), - test_xy("for(var i := 0; (i < y); i += 1) { if (i <= (y / 2)) continue; else x += i; }; x;" ,T(0),T(10),T(30)), - test_xy("var a := 2; (0 * a) == 0",T(0),T(0),T(1)), - test_xy("var a := 2; (0 / a) == 0",T(0),T(0),T(1)), - test_xy("var a := 2; (a * 0) == 0",T(0),T(0),T(1)), - test_xy("var a := 2; (a / 1) == a",T(0),T(0),T(1)), - test_xy("var a := 2; (0 + a) == a",T(0),T(0),T(1)), - test_xy("var a := 2; (a + 0) == a",T(0),T(0),T(1)), - test_xy("var a := 2; (1 * a) == a",T(0),T(0),T(1)), - test_xy("var a.b := 3; (2 * a.b ) == 6",T(0),T(0),T(1)), - test_xy("var aa.bb := 3; (2 * aa.bb ) == 6",T(0),T(0),T(1)), - test_xy("var aaa.bbb := 3; (2 * aAa.BbB) == 6",T(0),T(0),T(1)), - test_xy("var a1.b2 := 3; (2 * a1.b2 ) == 6",T(0),T(0),T(1)) - }; - - static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_xy); - - const std::size_t rounds = 60; - - for (std::size_t r = 0; r < rounds; ++r) - { - bool loop_result = true; - - for (std::size_t i = 0; i < test_list_size; ++i) - { - test_xy& test = const_cast&>(test_list[i]); - - T x = test.x; - T y = test.y; - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(test.expr,expression)) - { - printf("run_test01() - Error: %s Expression: %s\n", - parser.error().c_str(), - test.expr.c_str()); - - loop_result = false; - - continue; - } - } - - const T result = expression.value(); - - if (not_equal(result,test.result)) - { - printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", - test.expr.c_str(), - static_cast(test.result), - static_cast(result)); - - loop_result = false; - } - } - - if (!loop_result) - { - return false; - } - } - } - - { - static const test_xyzw test_list[] = - { - test_xyzw("((x / y) / z )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 9.0) / 3.0 ))), - test_xyzw("((x / y) / 2 )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 9.0) / 2.0 ))), - test_xyzw("((x / 2) / y )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 2.0) / 9.0 ))), - test_xyzw("((2 / x) / y )",T(7.0),T(9.0),T(3.0),T(0.0),T(((2.0 / 7.0) / 9.0 ))), - test_xyzw("( x / (y / z))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (9.0 / 3.0)))), - test_xyzw("( x / (y / 2))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (9.0 / 2.0)))), - test_xyzw("( x / (2 / y))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (2.0 / 9.0)))), - test_xyzw("( 2 / (x / y))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 2.0 / (7.0 / 9.0)))), - test_xyzw("([(min(x,y) + z) + 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) - 4.0))), - test_xyzw("([(min(x,y) + z) + 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) + 4.0))), - test_xyzw("([(min(x,y) + z) + 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) * 4.0))), - test_xyzw("([(min(x,y) + z) + 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) / 4.0))), - test_xyzw("([(min(x,y) + z) - 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) - 4.0))), - test_xyzw("([(min(x,y) + z) - 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) + 4.0))), - test_xyzw("([(min(x,y) + z) - 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) * 4.0))), - test_xyzw("([(min(x,y) + z) - 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) / 4.0))), - test_xyzw("([(min(x,y) + z) * 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) - 4.0))), - test_xyzw("([(min(x,y) + z) * 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) + 4.0))), - test_xyzw("([(min(x,y) + z) * 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) * 4.0))), - test_xyzw("([(min(x,y) + z) * 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) / 4.0))), - test_xyzw("([(min(x,y) + z) / 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) - 4.0))), - test_xyzw("([(min(x,y) + z) / 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) + 4.0))), - test_xyzw("([(min(x,y) + z) / 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) * 4.0))), - test_xyzw("([(min(x,y) + z) / 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) / 4.0))), - test_xyzw("(4 - [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 + (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 + [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 + (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 * [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 + (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 / [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 + (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 - [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 - (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 + [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 - (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 * [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 - (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 / [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 - (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 - [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 * (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 + [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 * (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 * [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 * (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 / [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 * (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 - [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 / (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 + [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 / (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 * [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 / (std::min(5.0,7.0) + 9.0))))), - test_xyzw("(4 / [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 / (std::min(5.0,7.0) + 9.0))))), - test_xyzw("if (x < y) { z+2; z;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} == null" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x < y) { z+2; z;} else w; == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else 1 + w; == (w + 1)" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x < y) { z+2; z;} else {1+2; w;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else {1+2; w;} == w" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x < y) { z+2; z;} else if (x < y) w; == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else if (x < y) 1 + w; == w + 1" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else if (x > y) w; == null" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x < y) { z+2; z;} else if (x < y) {w+2; w;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else if (x < y) {w+2; w;} == w" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), - test_xyzw("if (x > y) { z+2; z;} else if (x > y) {w+2; w;} == null",T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)) - }; - - static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_xyzw); - - const std::size_t rounds = 60; - - for (std::size_t r = 0; r < rounds; ++r) - { - bool loop_result = true; - for (std::size_t i = 0; i < test_list_size; ++i) - { - test_xyzw& test = const_cast&>(test_list[i]); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",test.x); - symbol_table.add_variable("y",test.y); - symbol_table.add_variable("z",test.z); - symbol_table.add_variable("w",test.w); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(test.expr,expression)) - { - printf("run_test01() - Error: %s Expression: %s\n", - parser.error().c_str(), - test.expr.c_str()); - - loop_result = false; - - continue; - } - } - - const T result = expression.value(); - - if (not_equal(result,test.result)) - { - printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", - test.expr.c_str(), - static_cast(test.result), - static_cast(result)); - - loop_result = false; - } - } - - if (!loop_result) - { - return false; - } - } - } - - { - const std::string expr_list[] = - { - "((v[1] + x) == (x + v[1]))", - "((v[0] += x) == x)", - "((v[0] += x + y) == (x + y))", - "((v[0] -= x) == -x)", - "((v[0] -= (x + y)) == -(x + y))", - "((v[1] + v[2]) == (v[3 - 1] + v[2 * 1/2]))", - "(v[v[1]] == v[1])", - "(v[1] += v[1]) == v[1 + 1]", - "((v[i[1]] + x) == (x + v[i[1]]))", - "((v[i[0]] += x) == x)", - "((v[i[0]] += x + y) == (x + y))", - "((v[i[0]] -= x) == -x)", - "((v[i[0]] -= (x + y)) == -(x + y))", - "((v[i[1]] + v[2]) == (v[i[3] - i[1]] + v[i[2] * 1/2]))", - "(v[v[i[1]]] == v[i[1]])", - "(v[i[1]] += v[i[1]]) == v[i[1] + 1]" - }; - - const std::size_t expr_list_size = sizeof(expr_list) / sizeof(std::string); - - const std::size_t rounds = 60; - - for (std::size_t r = 0; r < rounds; ++r) - { - bool loop_result = true; - - for (std::size_t i = 0; i < expr_list_size; ++i) - { - T v[] = { T(0.0), T(1.1), T(2.2), T(3.3), T(4.4), T(5.5) }; - T index[] = { T(0) , T(1) , T(2) , T(3) , T(4) , T(5) }; - - T x = T(6.6); - T y = T(7.7); - T z = T(8.8); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_vector ("v",v); - symbol_table.add_vector ("i",index); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expr_list[i],expression)) - { - printf("run_test01() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_list[i].c_str()); - - loop_result = false; - - continue; - } - } - - const T result = expression.value(); - - if (not_equal(result,T(1))) - { - printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", - expr_list[i].c_str(), - static_cast(1.0), - static_cast(result)); - - loop_result = false; - } - } - - if (!loop_result) - { - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - bool loop_result = true; - - for (std::size_t i = 0; i < expr_list_size; ++i) - { - T v_[] = { T(0.0), T(1.1), T(2.2), T(3.3), T(4.4), T(5.5) }; - T index_[] = { T(0) , T(1) , T(2) , T(3) , T(4) , T(5) }; - - T x = T(6.6); - T y = T(7.7); - T z = T(8.8); - - exprtk::vector_view v = exprtk::make_vector_view(v_ ,6); - exprtk::vector_view index = exprtk::make_vector_view(index_,6); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_vector ("v",v); - symbol_table.add_vector ("i",index); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expr_list[i],expression)) - { - printf("run_test01() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_list[i].c_str()); - - loop_result = false; - - continue; - } - } - - const T result = expression.value(); - - if (not_equal(result,T(1))) - { - printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", - expr_list[i].c_str(), - static_cast(1.0), - static_cast(result)); - loop_result = false; - } - } - - if (!loop_result) - { - return false; - } - } - } - - return true; -} - -template -struct test_ab -{ - test_ab(const std::string& e, const std::string& v0, const std::string& v1, const T& r) - : expr(e) - , a(v0) - , b(v1) - , c("ccc") - , result(r) - {} - - std::string expr; - std::string a; - std::string b; - std::string c; - T result; -}; - -template -bool run_test02() -{ - static const test_ab test_list[] = - { - test_ab("'aaa' == 'aaa'" ,"","",T(1.0)), - test_ab("'aaa' < 'bbb'" ,"","",T(1.0)), - test_ab("'aaa' <= 'bbb'" ,"","",T(1.0)), - test_ab("'bbb' > 'aaa'" ,"","",T(1.0)), - test_ab("'bbb' >= 'aaa'" ,"","",T(1.0)), - test_ab("'aaa' != 'aaa'" ,"","",T(0.0)), - test_ab("'aaa' != 'bbb'" ,"","",T(1.0)), - test_ab("'aaa' + '123' == 'aaa123'" ,"","",T(1.0)), - test_ab("'aaa123' == 'aaa' + '123'" ,"","",T(1.0)), - test_ab("('aaa' + '123') == 'aaa123'" ,"","",T(1.0)), - test_ab("'aaa123' == ('aaa' + '123')" ,"","",T(1.0)), - test_ab("'aaa' in 'aaa123'" ,"","",T(1.0)), - test_ab("'123' in 'aaa123'" ,"","",T(1.0)), - test_ab("'a123b' like '*123*'" ,"","",T(1.0)), - test_ab("'a123b' like '*123?'" ,"","",T(1.0)), - test_ab("'1XYZ2' ilike '*xyz*'" ,"","",T(1.0)), - test_ab("'1XYZ2' ilike '*xyz?'" ,"","",T(1.0)), - test_ab("inrange('aaa','bbb','ccc')" ,"","",T(1.0)), - test_ab("a == b" ,"aaa","aaa",T(1.0)), - test_ab("a != b" ,"aaa","bbb",T(1.0)), - test_ab("a < b" ,"aaa","bbb",T(1.0)), - test_ab("a <= b" ,"aaa","bbb",T(1.0)), - test_ab("b > a" ,"aaa","bbb",T(1.0)), - test_ab("b >= a" ,"aaa","bbb",T(1.0)), - test_ab("a in b" ,"aaa","aaa123",T(1.0)), - test_ab("a in b" ,"123","aaa123",T(1.0)), - test_ab("a == 'aaa'" ,"aaa","aaa",T(1.0)), - test_ab("'aaa' == a" ,"aaa","aaa",T(1.0)), - test_ab("a != 'bbb'" ,"aaa","bbb",T(1.0)), - test_ab("'bbb' != a" ,"aaa","bbb",T(1.0)), - test_ab("a < 'bbb'" ,"aaa","bbb",T(1.0)), - test_ab("a <= 'bbb'" ,"aaa","bbb",T(1.0)), - test_ab("'bbb' > a" ,"aaa","bbb",T(1.0)), - test_ab("'bbb' >= a" ,"aaa","bbb",T(1.0)), - test_ab("a in 'aaa123'" ,"aaa","aaa123",T(1.0)), - test_ab("a in 'aaa123'" ,"123","aaa123",T(1.0)), - test_ab("'aaa' in b" ,"aaa","aaa123",T(1.0)), - test_ab("'123' in b" ,"aaa","aaa123",T(1.0)), - test_ab("(a < b) or (a == b)" ,"aaa","bbb",T(1.0)), - test_ab("(a == b) or (a < b)" ,"aaa","bbb",T(1.0)), - test_ab("(b > a) or (b == a)" ,"aaa","bbb",T(1.0)), - test_ab("(b == a) or (b > a)" ,"aaa","bbb",T(1.0)), - test_ab("(a < b) and (b > a)" ,"aaa","bbb",T(1.0)), - test_ab("a like '*123*'" ,"a123b","",T(1.0)), - test_ab("a like '*123?'" ,"a123b","",T(1.0)), - test_ab("'a123b' like b" ,"a123b","*123*",T(1.0)), - test_ab("'a123b' like b" ,"a123b","*123?",T(1.0)), - test_ab("a ilike '*xyz*'" ,"1XYZ2","",T(1.0)), - test_ab("a ilike '*xyz?'" ,"1XYZ2","",T(1.0)), - test_ab("'1XYZ2' ilike b" ,"","*xyz*",T(1.0)), - test_ab("'1XYZ2' ilike b" ,"","*xyz?",T(1.0)), - test_ab("inrange(a,'bbb',c)" ,"aaa","bbb",T(1.0)), - test_ab("inrange('aaa',b,'ccc')" ,"aaa","bbb",T(1.0)), - test_ab("inrange(a,b,c)" ,"aaa","bbb",T(1.0)), - test_ab("inrange(a,b,'ccc')" ,"aaa","bbb",T(1.0)), - test_ab("inrange('aaa',b,c)" ,"aaa","bbb",T(1.0)), - test_ab("inrange('aaa',b,c)" ,"aaa","bbb",T(1.0)), - test_ab("(a < b ? a : b) == a" ,"aaa","bbb",T(1.0)), - test_ab("(a > b ? a : b) == b" ,"aaa","bbb",T(1.0)), - test_ab("(a == (a + '1') ? a : b) == b" ,"aaa","bbb",T(1.0)), - test_ab("((a + '2') != a ? a : b) == a" ,"aaa","bbb",T(1.0)), - test_ab("(a < b ? a + '1' : b) == 'aaa1'","aaa","bbb",T(1.0)), - test_ab("(a > b ? a : b + '2') == 'bbb2'","aaa","bbb",T(1.0)), - test_ab("b == (a == (a + '1') ? a : b)" ,"aaa","bbb",T(1.0)), - test_ab("a == (a != (a + '2') ? a : b)" ,"aaa","bbb",T(1.0)), - test_ab("'aaa1' == (a < b ? a + '1' : b)","aaa","bbb",T(1.0)), - test_ab("'bbb2' == (a > b ? a : b + '2')","aaa","bbb",T(1.0)), - test_ab("(a < b ? a[1:3] : b) == '23'" ,"1234","67890",T(1.0)), - test_ab("(a > b ? a : b[0:4]) == '6789'" ,"1234","67890",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{(x < y ? x : y) == x }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{(x > y ? x : y) == y }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{(x == (x + '1') ? x : y) == y }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{((x + '2') != x ? x : y) == x }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{(x < y ? x + '1' : y) == 'xxx1'}}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{(x > y ? x : y + '2') == 'yyy2'}}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{y == (x == (x + '1') ? x : y) }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{x == (x != (x + '2') ? x : y) }}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{'xxx1' == (x < y ? x + '1' : y)}}","","",T(1.0)), - test_ab("~{var x := 'xxx'; var y := 'yyy';~{'yyy2' == (x > y ? x : y + '2')}}","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == '0123456789' ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == '0123456789'[:] ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == '0123456789'[0:]","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == '0123456789'[:9]","","",T(1.0)), - test_ab("'01234567890123456789'[:9] == '0123456789'[:9]","","",T(1.0)), - test_ab("'01234567890123456789'[10:] == '0123456789'[:] ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] != '123456789' ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] != '123456789'[:] ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] != '123456789'[0:] ","","",T(1.0)), - test_ab("'01234567890123456789'[0:9] != '123456789'[:8] ","","",T(1.0)), - test_ab("'01234567890123456789'[:9] != '123456789'[:8] ","","",T(1.0)), - test_ab("'01234567890123456789'[10:] != '123456789'[:] ","","",T(1.0)), - test_ab("'01234567890123456789'[2*6:10+6] == '23456' ","","",T(1.0)), - test_ab("'0123456789' == '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'0123456789'[:] == '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'0123456789'[0:] == '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'0123456789'[:9] == '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'0123456789'[:9] == '01234567890123456789'[:9] ","","",T(1.0)), - test_ab("'0123456789'[:] == '01234567890123456789'[10:]","","",T(1.0)), - test_ab("'0123456789'[3:3] == '3'[:] ","","",T(1.0)), - test_ab("'0123456789'[3:3] == '3'[0:0] ","","",T(1.0)), - test_ab("'123456789' != '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'123456789'[:] != '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'123456789'[0:] != '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'123456789'[:8] != '01234567890123456789'[0:9]","","",T(1.0)), - test_ab("'123456789'[:8] != '01234567890123456789'[:9] ","","",T(1.0)), - test_ab("'123456789'[:] != '01234567890123456789'[10:]","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[2*6:10+6] ","","",T(1.0)), - test_ab("'01234567890123456789'[r0: 6] == '23456' ","","",T(1.0)), - test_ab("'01234567890123456789'[2: r1] == '23456' ","","",T(1.0)), - test_ab("'01234567890123456789'[r0:3*2] == '23456' ","","",T(1.0)), - test_ab("'01234567890123456789'[1+1:r1] == '23456' ","","",T(1.0)), - test_ab("'01234567890123456789'[r0: ] == '234567890123456789' ","","",T(1.0)), - test_ab("'01234567890123456789'[: r1] == '0123456' ","","",T(1.0)), - test_ab("'01234567890123456789'[r0:r1] == '23456' ","","",T(1.0)), - test_ab("'01234567890123456789'[r0:r1+2] == '2345678' ","","",T(1.0)), - test_ab("'01234567890123456789'[r0+2:r1] == '456' ","","",T(1.0)), - test_ab("'01234567890123456789'[r1-r0:] == '4567890123456789' ","","",T(1.0)), - test_ab("'01234567890123456789'[:r1-r0] == '01234' ","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[r0: 6] ","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[2: r1] ","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[r0:3*2] ","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[1+1:r1] ","","",T(1.0)), - test_ab("'234567890123456789' == '01234567890123456789'[r0: ] ","","",T(1.0)), - test_ab("'0123456' == '01234567890123456789'[: r1] ","","",T(1.0)), - test_ab("'23456' == '01234567890123456789'[r0:r1] ","","",T(1.0)), - test_ab("'2345678' == '01234567890123456789'[r0:r1+2] ","","",T(1.0)), - test_ab("'456' == '01234567890123456789'[r0+2:r1] ","","",T(1.0)), - test_ab("'4567890123456789' == '01234567890123456789'[r1-r0:] ","","",T(1.0)), - test_ab("'01234' == '01234567890123456789'[:r1-r0] ","","",T(1.0)), - test_ab("a[r0: 6] == '23456' ","01234567890123456789","",T(1.0)), - test_ab("a[2: r1] == '23456' ","01234567890123456789","",T(1.0)), - test_ab("a[r0:3*2] == '23456' ","01234567890123456789","",T(1.0)), - test_ab("a[1+1:r1] == '23456' ","01234567890123456789","",T(1.0)), - test_ab("a[r0: ] == '234567890123456789' ","01234567890123456789","",T(1.0)), - test_ab("a[: r1] == '0123456' ","01234567890123456789","",T(1.0)), - test_ab("a[r0:r1] == '23456' ","01234567890123456789","",T(1.0)), - test_ab("a[r0:r1+2] == '2345678' ","01234567890123456789","",T(1.0)), - test_ab("a[r0+2:r1] == '456' ","01234567890123456789","",T(1.0)), - test_ab("a[r1-r0:] == '4567890123456789' ","01234567890123456789","",T(1.0)), - test_ab("a[:r1-r0] == '01234' ","01234567890123456789","",T(1.0)), - test_ab("'23456' == a[r0: 6] ","01234567890123456789","",T(1.0)), - test_ab("'23456' == a[2: r1] ","01234567890123456789","",T(1.0)), - test_ab("'23456' == a[r0:3*2] ","01234567890123456789","",T(1.0)), - test_ab("'23456' == a[1+1:r1] ","01234567890123456789","",T(1.0)), - test_ab("'234567890123456789' == a[r0: ] ","01234567890123456789","",T(1.0)), - test_ab("'0123456' == a[: r1] ","01234567890123456789","",T(1.0)), - test_ab("'23456' == a[r0:r1] ","01234567890123456789","",T(1.0)), - test_ab("'2345678' == a[r0:r1+2] ","01234567890123456789","",T(1.0)), - test_ab("'456' == a[r0+2:r1] ","01234567890123456789","",T(1.0)), - test_ab("'4567890123456789' == a[r1-r0:] ","01234567890123456789","",T(1.0)), - test_ab("'01234' == a[:r1-r0] ","01234567890123456789","",T(1.0)), - test_ab("a[r0: 6] == b ","01234567890123456789","23456",T(1.0)), - test_ab("a[2: r1] == b ","01234567890123456789","23456",T(1.0)), - test_ab("a[r0:3*2] == b ","01234567890123456789","23456",T(1.0)), - test_ab("a[1+1:r1] == b ","01234567890123456789","23456",T(1.0)), - test_ab("a[r0: ] == b ","01234567890123456789","234567890123456789",T(1.0)), - test_ab("a[: r1] == b ","01234567890123456789","0123456",T(1.0)), - test_ab("a[r0:r1] == b ","01234567890123456789","23456",T(1.0)), - test_ab("a[r0:r1+2] == b ","01234567890123456789","2345678",T(1.0)), - test_ab("a[r0+2:r1] == b ","01234567890123456789","456",T(1.0)), - test_ab("a[r1-r0:] == b ","01234567890123456789","4567890123456789",T(1.0)), - test_ab("a[:r1-r0] == b ","01234567890123456789","01234",T(1.0)), - test_ab("b == a[r0: 6] ","01234567890123456789","23456",T(1.0)), - test_ab("b == a[2: r1] ","01234567890123456789","23456",T(1.0)), - test_ab("b == a[r0:3*2] ","01234567890123456789","23456",T(1.0)), - test_ab("b == a[1+1:r1] ","01234567890123456789","23456",T(1.0)), - test_ab("b == a[r0: ] ","01234567890123456789","234567890123456789",T(1.0)), - test_ab("b == a[: r1] ","01234567890123456789","0123456",T(1.0)), - test_ab("b == a[r0:r1] ","01234567890123456789","23456",T(1.0)), - test_ab("b == a[r0:r1+2] ","01234567890123456789","2345678",T(1.0)), - test_ab("b == a[r0+2:r1] ","01234567890123456789","456",T(1.0)), - test_ab("b == a[r1-r0:] ","01234567890123456789","4567890123456789",T(1.0)), - test_ab("b == a[:r1-r0] ","01234567890123456789","01234",T(1.0)), - test_ab("'01234567890123456789'[0:9] == a ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == a[:] ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == a[0:] ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[0:9] == a[:9] ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[:9] == a[:9] ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[10:] == a[:] ","0123456789","",T(1.0)), - test_ab("'01234567890123456789'[0:9] != a ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[0:9] != a[:] ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[0:9] != a[0:] ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[0:9] != a[:8] ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[:9] != a[:8] ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[10:] != a[:] ","123456789" ,"",T(1.0)), - test_ab("'01234567890123456789'[2*6:10+6] == a","23456" ,"",T(1.0)), - test_ab("'23456' == a[:] ","23456" ,"",T(1.0)), - test_ab("a == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), - test_ab("a[:] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), - test_ab("a[0:] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), - test_ab("a[:9] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), - test_ab("a[:9] == '01234567890123456789'[:9] ","0123456789","",T(1.0)), - test_ab("a[:] == '01234567890123456789'[10:] ","0123456789","",T(1.0)), - test_ab("a != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), - test_ab("a[:] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), - test_ab("a[0:] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), - test_ab("a[:8] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), - test_ab("a[:8] != '01234567890123456789'[:9] ","123456789" ,"",T(1.0)), - test_ab("a[:] != '01234567890123456789'[10:] ","123456789" ,"",T(1.0)), - test_ab("a == '01234567890123456789'[2*6:10+6]","23456" ,"",T(1.0)), - test_ab("a[:] == '23456' ","23456" ,"",T(1.0)), - test_ab("a[0:9] == b ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[0:9] == b[:] ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[0:9] == b[0:] ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[0:9] == b[:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[:9] == b[:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[10:] == b[:] ","01234567890123456789","0123456789",T(1.0)), - test_ab("a[0:9] != b ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[0:9] != b[:] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[0:9] != b[0:] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[0:9] != b[:8] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[:9] != b[:8] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[10:] != b[:] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("a[2*6:10+6] == b ","01234567890123456789","23456" ,T(1.0)), - test_ab("b == a[0:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b[:] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b[0:] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b[:9] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b[:9] == a[:9] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b[:] == a[10:] ","01234567890123456789","0123456789",T(1.0)), - test_ab("b != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b[:] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b[0:] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b[:8] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b[:8] != a[:9] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b[:] != a[10:] ","01234567890123456789","123456789" ,T(1.0)), - test_ab("b == a[2*6:10+6] ","01234567890123456789","23456" ,T(1.0)), - test_ab("a[2:6] == b" ,"0123456789","23456" ,T(1.0)), - test_ab("a == b[2:6]" ,"23456","0123456789" ,T(1.0)), - test_ab("a[1+1:2*3] == b" ,"0123456789","23456" ,T(1.0)), - test_ab("a == b[4/2:sqrt(36)]","23456","0123456789" ,T(1.0)), - test_ab("a[0:6] == b" ,"0123456789","0123456",T(1.0)), - test_ab("a[:6] == b" ,"0123456789","0123456",T(1.0)), - test_ab("a[4/2-2:2+4] == b" ,"0123456789","0123456",T(1.0)), - test_ab("a[:12/2] == b" ,"0123456789","0123456",T(1.0)), - test_ab("a[0:] == b" ,"0123456","0123456" ,T(1.0)), - test_ab("a[:] == b" ,"0123456","0123456" ,T(1.0)), - test_ab("a == b[0:6]" ,"0123456","0123456789",T(1.0)), - test_ab("a == b[:6]" ,"0123456","0123456789",T(1.0)), - test_ab("a == b[4/2-2:2+4]" ,"0123456","0123456789",T(1.0)), - test_ab("a == b[:12/2]" ,"0123456","0123456789",T(1.0)), - test_ab("a == b[0:]" ,"0123456","0123456" ,T(1.0)), - test_ab("a == b[:]" ,"0123456","0123456" ,T(1.0)), - test_ab("a[:9] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), - test_ab("a[0:9] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), - test_ab("a[0:] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), - test_ab("a[:] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), - test_ab("a[:] == b[10:]" ,"0123456789","01234567890123456789",T(1.0)), - test_ab("'!@#$%^&*([{}])-=' != ')]}{[(*&^%$#@!'","","",T(1.0)), - test_ab("('!@#$%^&*([{}])-=') != (')]}{[(*&^%$#@!')","","",T(1.0)), - test_ab("{[('a')]} == [{('a')}]","","",T(1.0)), - test_ab("{[('!@#$%^&*([{}])-=')]} != [{(')]}{[(*&^%$#@!')}]","","",T(1.0)), - test_ab("'!@#$%^&*([{}])-=' == '!@#$%^&*([{}])-='","","",T(1.0)), - test_ab("('!@#$%^&*([{}])-=') == ('!@#$%^&*([{}])-=')","","",T(1.0)), - test_ab("{[('!@#$%^&*([{}])-=')]} == [{('!@#$%^&*([{}])-=')}]","","",T(1.0)), - test_ab("'1234\\\\abc\nxyz\r890\tqaz\\'567' == a","1234\\abc\nxyz\r890\tqaz'567","",T(1.0)), - test_ab("a == '1234\\\\abc\nxyz\r890\tqaz\\'567'","1234\\abc\nxyz\r890\tqaz'567","",T(1.0)), - test_ab("'123'[] == 3" ,"","" ,T(1.0)), - test_ab("3 == '123'[]" ,"","" ,T(1.0)), - test_ab("'123'[] + '1234'[] == 7" ,"","" ,T(1.0)), - test_ab("abs('123'[] - '1234'[]) == 1" ,"","" ,T(1.0)), - test_ab("'1234'[] == a[]" ,"1234","" ,T(1.0)), - test_ab("'123'[] + a[] == 7" ,"1234","" ,T(1.0)), - test_ab("abs(a[] - '12345'[]) == 1" ,"1234","" ,T(1.0)), - test_ab("'1234'[] + '12345'[] == a[] + b[]" ,"1234","12345" ,T(1.0)), - test_ab("abs('123'[] -'1234'[]) == abs(a[] - b[])" ,"1234","12345",T(1.0)), - test_ab("(a + b) == 'abc123' ","abc","123" ,T(1.0)), - test_ab("(a + '123') == 'abc123' ","abc","123" ,T(1.0)), - test_ab("('abc' + b) == 'abc123' ","abc","123" ,T(1.0)), - test_ab("(a + '1') == 'abc1' ","abc","123" ,T(1.0)), - test_ab("('a' + b) == 'a123' ","abc","123" ,T(1.0)), - test_ab("(a[2:8] + b) == 'cdefgh0123' ","abcdefghij","0123",T(1.0)), - test_ab("(a + b[2:8]) == 'abc234567' ","abc","0123456789" ,T(1.0)), - test_ab("(a[2:8] + '0123') == 'cdefgh0123' ","abcdefghij","0123",T(1.0)), - test_ab("('abc' + b[2:8]) == 'abc234567' ","abc","0123456789" ,T(1.0)), - test_ab("(a[2:3] + b[3:4]) == 'c3' ","abc","0123456789" ,T(1.0)), - test_ab("(a[3:] + b) == 'defghij0123' ","abcdefghij","0123",T(1.0)), - test_ab("('abc' + b[:8]) == 'abc01234567' ","abc","0123456789" ,T(1.0)), - test_ab("a + '123' == 'abc'+ b ","abc" , "123" , T(1.0)), - test_ab("a[0:3] + '123' == 'abc' + b[0:3] ","abcXYZ", "123XYZ", T(1.0)), - test_ab("a[ :3] + '123' == 'abc' + b[ :3] ","abcXYZ", "123XYZ", T(1.0)), - test_ab("a[3: ] + '123' == 'abc' + b[3: ]","XYZabc", "XYZ123", T(1.0)), - test_ab("a[3:a[]] + '123' == 'abc' + b[3:b[]]","XYZabc", "XYZ123", T(1.0)), - test_ab("(a[r0:r2] + b) == 'cdefg0123' ","abcdefghij","0123",T(1.0)), - test_ab("(a + b[r0:r2]) == 'abc23456' ","abc","0123456789" ,T(1.0)), - test_ab("(a[r0:r2] + '0123') == 'cdefg0123' ","abcdefghij","0123",T(1.0)), - test_ab("('abc' + b[r0:r2]) == 'abc23456' ","abc","0123456789" ,T(1.0)), - test_ab("(a[r0:r0+1] + b[r3:r3+1]) == 'c3' ","abc","0123456789" ,T(1.0)), - test_ab("(a[r3:] + b) == 'defghij0123' ","abcdefghij","0123",T(1.0)), - test_ab("('abc' + b[:r2]) == 'abc0123456' ","abc","0123456789" ,T(1.0)), - test_ab("a[0:r0] + '123' == 'ab'+ b[0:r0+1] ","abcXYZ", "123XYZ", T(1.0)), - test_ab("a[ :r0] + '123' == 'ab' +b[ :r0+1] ","abcXYZ", "123XYZ", T(1.0)), - test_ab("a[r3: ] + '123' == 'abc' + b[r3: ]","XYZabc", "XYZ123", T(1.0)), - test_ab("a[r3:a[]] + '123' == 'abc' + b[r3:b[]] ","XYZabc", "XYZ123", T(1.0)), - test_ab("(a[r0:r0+1] + b[r3:r0+2]) == 'c3' ","abc","0123456789" ,T(1.0)), - test_ab("(a[r0+1:] + b) == 'defghij0123' ","abcdefghij","0123",T(1.0)), - test_ab("a[r0+1: ] + '123' == 'abc' + b[r0+1: ]", "XYZabc" ,"XYZ123" ,T(1.0)), - test_ab("a[r0+1:a[]] + '123' == 'abc' + b[r0+1:b[]] ", "XYZabc" ,"XYZ123" ,T(1.0)), - test_ab("(a + b)[ :14] == 'abcdefghij0123' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[ 6: ] == 'ghij0123456789' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[ 2:3r1] == 'cdefghij01234567' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a[2:8] + b[2:8]) == 'cdefgh234567' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a[2:8] + b[2:8])[3:9] == 'fgh234' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[r0 - 2: r1 + r2 +1] == 'abcdefghij0123'", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[r0*r3:] == 'ghij0123456789' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[3r0: ] == 'ghij0123456789' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[2r3: ] == 'ghij0123456789' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a + b)[2:3r1] == 'cdefghij01234567' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a[r0:8] + b[r0:r2+1])== 'cdefgh234567' ", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a[r1 / r3:8] + b[r0:r2+1])[3:r2 + 2] == 'fgh234'", "abcdefghij", "0123456789" ,T(1.0)), - test_ab("(a += b) == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += '123') == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += b[3:6]) == 'abc123' ", "abc","XXX123XXX" ,T(1.0)), - test_ab("(a += 'XXX123XXX'[3:6]) == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += b)[:] == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += '123')[:] == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += b[3:6])[:] == 'abc123' ", "abc","XXX123XXX" ,T(1.0)), - test_ab("(a += 'XXX123XXX'[3:6])[:] == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += b[r1/2:r1]) == 'abc123' ", "abc","XXX123XXX" ,T(1.0)), - test_ab("(a += 'XXX123XXX'[r0+1:r1]) == 'abc123' ", "abc","123" ,T(1.0)), - test_ab("(a += b)[] == 6 ", "abc","123" ,T(1.0)), - test_ab("(a += '123')[] == 6 ", "abc","123" ,T(1.0)), - test_ab("(a += b[3:6])[] == 6 ", "abc","XXX123XXX" ,T(1.0)), - test_ab("(a += b[r0+1:r1])[] == 6 ", "abc","XXX123XXX" ,T(1.0)), - test_ab("(a + b)[:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][:][:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][:][:][:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][:][:][:][:][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[:][:][:][:][:][:][:][]== 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6] == 'abc123' ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5] == 'bc12' ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5][1:3] == 'c1' ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5][1:3][0:1] == 'c' ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][] == 6 ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5][] == 4 ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5][1:3][] == 2 ","abc","123" ,T(1.0)), - test_ab("(a + b)[0:6][1:5][1:4][0:1][] == 1 ","abc","123" ,T(1.0)), - test_ab("(a[ : ] := b); (a == 'ABCDEFGHIJ');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[0: ] := b); (a == 'ABCDEFGHIJ');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[ :10]:= b); (a == 'ABCDEFGHIJ');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[3: 8]:= b); (a == '012ABCDE89');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[2: 9]:= b); (a == '01ABCDEFG9');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[1:10]:= b); (a == '0ABCDEFGHI');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[0:1] := b); (a == 'A123456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[1:2] := b); (a == '0A23456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[2:3] := b); (a == '01A3456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[3:4] := b); (a == '012A456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[4:5] := b); (a == '0123A56789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[5:6] := b); (a == '01234A6789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[6:7] := b); (a == '012345A789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[7:8] := b); (a == '0123456A89');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[8:9] := b); (a == '01234567A9');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[9:10]:= b); (a == '012345678A');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[0:2] := b); (a == 'AB23456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[1:3] := b); (a == '0AB3456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[2:4] := b); (a == '01AB456789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[3:5] := b); (a == '012AB56789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[4:6] := b); (a == '0123AB6789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[5:7] := b); (a == '01234AB789');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[6:8] := b); (a == '012345AB89');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[7:9] := b); (a == '0123456AB9');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[8:10]:= b); (a == '01234567AB');", "0123456789","ABCDEFGHIJ" ,T(1.0)), - test_ab("(a[ : ] := b[3:b[] - 2]); (a == 'ABCDEFGHIJ');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[0: ] := b[3:b[] - 2]); (a == 'ABCDEFGHIJ');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[ :10] := b[3:b[] - 2]); (a == 'ABCDEFGHIJ');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[3:8] := b[3:b[] - 2]); (a == '012ABCDE89');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[2:9] := b[3:b[] - 2]); (a == '01ABCDEFG9');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[1:10] := b[3:b[] - 2]); (a == '0ABCDEFGHI');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[0:1] := b[3:b[] - 2]); (a == 'A123456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[1:2] := b[3:b[] - 2]); (a == '0A23456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[2:3] := b[3:b[] - 2]); (a == '01A3456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[3:4] := b[3:b[] - 2]); (a == '012A456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[4:5] := b[3:b[] - 2]); (a == '0123A56789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[5:6] := b[3:b[] - 2]); (a == '01234A6789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[6:7] := b[3:b[] - 2]); (a == '012345A789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[7:8] := b[3:b[] - 2]); (a == '0123456A89');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[8:9] := b[3:b[] - 2]); (a == '01234567A9');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[9:10] := b[3:b[] - 2]); (a == '012345678A');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[0:2] := b[3:b[] - 2]); (a == 'AB23456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[1:3] := b[3:b[] - 2]); (a == '0AB3456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[2:4] := b[3:b[] - 2]); (a == '01AB456789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[3:5] := b[3:b[] - 2]); (a == '012AB56789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[4:6] := b[3:b[] - 2]); (a == '0123AB6789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[5:7] := b[3:b[] - 2]); (a == '01234AB789');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[6:8] := b[3:b[] - 2]); (a == '012345AB89');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[7:9] := b[3:b[] - 2]); (a == '0123456AB9');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[8:10] := b[3:b[] - 2]); (a == '01234567AB');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[0:10] := b); (a == 'A123456789');", "0123456789","A" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'AB23456789');", "0123456789","AB" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABC3456789');", "0123456789","ABC" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCD456789');", "0123456789","ABCD" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCDE56789');", "0123456789","ABCDE" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCDEF6789');", "0123456789","ABCDEF" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCDEFG789');", "0123456789","ABCDEFG" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCDEFGH89');", "0123456789","ABCDEFGH" ,T(1.0)), - test_ab("(a[0:10] := b); (a == 'ABCDEFGHI9');", "0123456789","ABCDEFGHI" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012A456789');", "0123456789","A" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012AB56789');", "0123456789","AB" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012ABC6789');", "0123456789","ABC" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012ABCD789');", "0123456789","ABCD" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012ABCDE89');", "0123456789","ABCDE" ,T(1.0)), - test_ab("(a[3:10] := b); (a == '012ABCDEF9');", "0123456789","ABCDEF" ,T(1.0)), - test_ab("(a[r1 / r0:r2 + 1] := b[3:b[] - r3 + 1]); (a == '012ABCDE89');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("(a[r0:r2 + 2] := b[r3:b[] - r3 + 1]); (a == '01ABCDEFG9');", "0123456789","xyzABCDEFGHIJxyz",T(1.0)), - test_ab("'\\0x30\\0x31\\0x32\\0x33\\0x34\\0x35\\0x36\\0x37\\0x38\\0x39' == '0123456789'","","",T(1.0)), - test_ab("'abc\\0x30\\0x31\\0x32\\0x33xyz' == 'abc0123xyz'" ,"","",T(1.0)), - test_ab("'\\0x30\\n\\0x31\\n\\0x32\\n\\0x33' == '0\\n1\\n2\\n3'" ,"","",T(1.0)), - test_ab("('\\0x30' + '') == '0'" ,"","",T(1.0)), - test_ab("('\\0x30' + '') == '0' + ''" ,"","",T(1.0)), - test_ab("('\\0x30' + '') == ''+ '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30') == '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30') == '0' + ''" ,"","",T(1.0)), - test_ab("('' + '\\0x30') == ''+ '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == '0' + ''" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == ''+ '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == '0'" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == '0' + ''" ,"","",T(1.0)), - test_ab("('' + '\\0x30' + '') == ''+ '0'" ,"","",T(1.0)), - test_ab("('\\0x30' + '\\0x31\\0x32') == '012'" ,"","",T(1.0)), - test_ab("('\\0x30' + '\\0x31\\0x32' + '\\0x33\\0x34\\0x35') == '012345'" ,"","",T(1.0)), - test_ab("'a\\'\\\\b' == a" ,"a'\\b","",T(1.0)), - test_ab("'a\\\\\\'b' == a" ,"a\\'b","",T(1.0)), - test_ab("'a\\'\\\\\\\\b' == a" ,"a'\\\\b","",T(1.0)), - test_ab("'a\\0x30\\'\\0x31\\\\\\0x32b' == a" ,"a0'1\\2b","",T(1.0)), - - test_ab("var x := 3; x > 2 and 'abc' like '*bc'" ,"","",T(1.0)), - test_ab("var x := 3; x > 2 and 'abc' ilike '*Bc'" ,"","",T(1.0)), - test_ab("var x := 3; x > 2 and 'abc' in '123abc123'","","",T(1.0)), - - test_ab("var x := 3; var s := 'abc'; x > 2 and s like '*bc'" ,"","",T(1.0)), - test_ab("var x := 3; var s := 'abc'; x > 2 and s ilike '*Bc'" ,"","",T(1.0)), - test_ab("var x := 3; var s := 'abc'; x > 2 and s in '123abc123'","","",T(1.0)), - - test_ab("var x := 3; var s := 'abc'; var t := '*bc'; x > 2 and s like t" ,"","",T(1.0)), - test_ab("var x := 3; var s := 'abc'; var t := '*Bc'; x > 2 and s ilike t" ,"","",T(1.0)), - test_ab("var x := 3; var s := 'abc'; var t := '123abc123'; x > 2 and s in t","","",T(1.0)), - - test_ab("var x := 3; x > 2 and a like '*bc'" ,"abc","",T(1.0)), - test_ab("var x := 3; x > 2 and a ilike '*Bc'" ,"abc","",T(1.0)), - test_ab("var x := 3; x > 2 and a in '123abc123'","abc","",T(1.0)), - - test_ab("var x := 3; x > 2 and a like b ","abc","*bc",T(1.0)), - test_ab("var x := 3; x > 2 and a ilike b","abc","*Bc",T(1.0)), - test_ab("var x := 3; x > 2 and a in b ","abc","123abc123",T(1.0)), - - test_ab("a[] > 2 and a like '*bc'" ,"abc","",T(1.0)), - test_ab("a[] > 2 and a ilike '*Bc'" ,"abc","",T(1.0)), - test_ab("a[] > 2 and a in '123abc123'","abc","",T(1.0)), - - test_ab("a[] > 2 and a like b ","abc","*bc",T(1.0)), - test_ab("a[] > 2 and a ilike b","abc","*Bc",T(1.0)), - test_ab("a[] > 2 and a in b ","abc","123abc123",T(1.0)), - - test_ab("a[0:1] := b[ :]; a == '0XXXX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:2] := b[ :]; a == '01XXX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:3] := b[ :]; a == '012XX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:4] := b[ :]; a == '0123X'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:5] := b[ :]; a == '01234'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:1] := b[6:]; a == '6XXXX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:2] := b[6:]; a == '67XXX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:3] := b[6:]; a == '678XX'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:4] := b[6:]; a == '6789X'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:5] := b[6:]; a == '67890'", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:1] <=> b[ :]; (a == '0XXXX') and (b == 'X1234567890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:2] <=> b[ :]; (a == '01XXX') and (b == 'XX234567890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:3] <=> b[ :]; (a == '012XX') and (b == 'XXX34567890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:4] <=> b[ :]; (a == '0123X') and (b == 'XXXX4567890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:5] <=> b[ :]; (a == '01234') and (b == 'XXXXX567890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:1] <=> b[6:]; (a == '6XXXX') and (b == '012345X7890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:2] <=> b[6:]; (a == '67XXX') and (b == '012345XX890')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:3] <=> b[6:]; (a == '678XX') and (b == '012345XXX90')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:4] <=> b[6:]; (a == '6789X') and (b == '012345XXXX0')", "XXXXX","01234567890",T(1.0)), - test_ab("a[0:5] <=> b[6:]; (a == '67890') and (b == '012345XXXXX')", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+1] := b[:]; a == '0XXXX'", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+2] := b[:]; a == '01XXX'", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+3] := b[:]; a == '012XX'", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+4] := b[:]; a == '0123X'", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+5] := b[:]; a == '01234'", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+1] <=> b[:]; (a == '0XXXX') and (b == 'X1234567890')", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+2] <=> b[:]; (a == '01XXX') and (b == 'XX234567890')", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+3] <=> b[:]; (a == '012XX') and (b == 'XXX34567890')", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+4] <=> b[:]; (a == '0123X') and (b == 'XXXX4567890')", "XXXXX","01234567890",T(1.0)), - test_ab("var i := 0; a[0:i+5] <=> b[:]; (a == '01234') and (b == 'XXXXX567890')", "XXXXX","01234567890",T(1.0)), - - test_ab("var y:= 2; '01234567890'[y:] == a ", "234567890","" ,T(1.0)), - test_ab("var y:= 2; '01234567890'[y:][y:] == a ", "4567890" ,"" ,T(1.0)), - test_ab("var y:= 2; '01234567890'[y:][y:][y:] == a ", "67890" ,"" ,T(1.0)), - test_ab("var y:= 2; '01234567890'[y:][y:][y:][y:] == a ", "890" ,"" ,T(1.0)), - test_ab("var y:= 2; '01234567890'[y:][y:][y:][y:][y:] == a", "0" ,"" ,T(1.0)), - test_ab("var y:= 2; '0123456789'[y:] == a ", "23456789" ,"" ,T(1.0)), - test_ab("var y:= 2; '0123456789'[y:][y:] == a ", "456789" ,"" ,T(1.0)), - test_ab("var y:= 2; '0123456789'[y:][y:][y:] == a ", "6789" ,"" ,T(1.0)), - test_ab("var y:= 2; '0123456789'[y:][y:][y:][y:] == a ", "89" ,"" ,T(1.0)), - test_ab("var y:= 2; '0123456789'[y:][y:][y:][y:][y:] == a ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; s := ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; s := '' + ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := '' + ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; s == '1' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; '1' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; s == '12' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; '12' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; s == '123' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; '123' == s ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; s := '' + ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := '' + ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; s[:] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; '' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; s[:] == '1' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; '1' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; s[:] == '12' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; '12' == s[:] ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; s[:] == '123' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; '123' == s[:] ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; s := '' + ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s := '' + ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; s += ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s := '' + ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s := '' + ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; s[:s[]] == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s := '' + ''; '' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; s[:s[]] == '1' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; s += ''; '1' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; s[:s[]] == '12' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; s += ''; '12' == s[:s[]] ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; s[:s[]] == '123' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; s += ''; '123' == s[:s[]] ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; for(var i:=0; i < 10; i+=1) {s += '';}; s == '' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 10; i+=1) {s += '';}; '' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; for(var i:=0; i < 10; i+=1) {s += '';}; s == '1' ", "" ,"" ,T(1.0)), - test_ab("var s:= '1'; for(var i:=0; i < 10; i+=1) {s += '';}; '1' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; for(var i:=0; i < 10; i+=1) {s += '';}; s == '12' ", "" ,"" ,T(1.0)), - test_ab("var s:= '12'; for(var i:=0; i < 10; i+=1) {s += '';}; '12' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; for(var i:=0; i < 10; i+=1) {s += '';}; s == '123' ", "" ,"" ,T(1.0)), - test_ab("var s:= '123'; for(var i:=0; i < 10; i+=1) {s += '';}; '123' == s ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s += '1';}; s == '1111' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s += '1';}; '1111' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s += '22';}; s == '2222' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s += '22';}; '2222' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s += '333';}; s == '333333' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s += '333';}; '333333' == s ", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s := s + '1';}; s == '1111' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s := s + '1';}; '1111' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := s + '22';}; s == '2222' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := s + '22';}; '2222' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := s + '333';}; s == '333333'", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := s + '333';}; '333333' == s", "" ,"" ,T(1.0)), - - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s := '1' + s;}; s == '1111' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 4; i+=1) {s := '1' + s;}; '1111' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := '22' + s;}; s == '2222' ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := '22' + s;}; '2222' == s ", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := '333' + s;}; s == '333333'", "" ,"" ,T(1.0)), - test_ab("var s:= ''; for(var i:=0; i < 2; i+=1) {s := '333' + s;}; '333333' == s", "" ,"" ,T(1.0)), - - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:1] := y[:]; x == '0XXXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:2] := y[:]; x == '01XXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:3] := y[:]; x == '012XX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:4] := y[:]; x == '0123X'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:5] := y[:]; x == '01234'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:1] := y[6:]; x == '6XXXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:2] := y[6:]; x == '67XXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:3] := y[6:]; x == '678XX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:4] := y[6:]; x == '6789X'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:5] := y[6:]; x == '67890'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:1] <=> y[:]; (x == '0XXXX') and (y == 'X1234567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:2] <=> y[:]; (x == '01XXX') and (y == 'XX234567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:3] <=> y[:]; (x == '012XX') and (y == 'XXX34567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:4] <=> y[:]; (x == '0123X') and (y == 'XXXX4567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:5] <=> y[:]; (x == '01234') and (y == 'XXXXX567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:1] <=> y[6:]; (x == '6XXXX') and (y == '012345X7890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:2] <=> y[6:]; (x == '67XXX') and (y == '012345XX890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:3] <=> y[6:]; (x == '678XX') and (y == '012345XXX90')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:4] <=> y[6:]; (x == '6789X') and (y == '012345XXXX0')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; x[0:5] <=> y[6:]; (x == '67890') and (y == '012345XXXXX')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+1] := y[:]; x == '0XXXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+2] := y[:]; x == '01XXX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+3] := y[:]; x == '012XX'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+4] := y[:]; x == '0123X'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+5] := y[:]; x == '01234'", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+1] <=> y[:]; (x == '0XXXX') and (y == 'X1234567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+2] <=> y[:]; (x == '01XXX') and (y == 'XX234567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+3] <=> y[:]; (x == '012XX') and (y == 'XXX34567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+4] <=> y[:]; (x == '0123X') and (y == 'XXXX4567890')", "","",T(1.0)), - test_ab("var x := 'XXXXX'; var y := '01234567890'; var i := 0; x[0:i+5] <=> y[:]; (x == '01234') and (y == 'XXXXX567890')", "","",T(1.0)), - - test_ab("var v[4] := {1,2,3,4}; for (var i := 0; i < v[]; i += 1) { v[i] += 10; v[i] == 0 }; sum(v) == (1 + 2 + 3 + 4) + (v[] * 10)", "","",T(1.0)), - test_ab("var v[4] := {1,2,3,4}; for (var i := 0; i < v[]; i += 1) { v[i] -= 10; v[i] == 0 }; sum(v) == (1 + 2 + 3 + 4) - (v[] * 10)", "","",T(1.0)), - test_ab("var v[4] := {1,2,3,4}; for (var i := 0; i < v[]; i += 1) { v[i] *= 10; v[i] == 0 }; sum(v) == (1 + 2 + 3 + 4) * 10", "","",T(1.0)), - test_ab("var v[4] := {1,2,3,4}; for (var i := 0; i < v[]; i += 1) { v[i] /= 10; v[i] == 0 }; sum(v) == (1 + 2 + 3 + 4) / 10", "","",T(1.0)), - - test_ab("a like b", "abcd", "abcd*", T(1.0)), - test_ab("a like b", "abcd", "abcd" , T(1.0)), - test_ab("a like b", "abcd", "abc*" , T(1.0)), - test_ab("a like b", "abcd", "*bcd" , T(1.0)), - test_ab("a like b", "abcd", "abc?" , T(1.0)), - test_ab("a like b", "abcd", "?bcd" , T(1.0)), - test_ab("a like b", "abcd", "ab?d" , T(1.0)), - test_ab("a like b", "abcd", "ab*d" , T(1.0)), - test_ab("a like b", "abcd", "a?cd" , T(1.0)), - test_ab("a like b", "abcd", "a*cd" , T(1.0)), - test_ab("a like b", "abcd", "a??d" , T(1.0)), - test_ab("a like b", "abcd", "a*?d" , T(1.0)), - test_ab("a like b", "abcd", "*bc*" , T(1.0)), - test_ab("a like b", "abcd", "?bc?" , T(1.0)), - test_ab("a like b", "abcd", "????" , T(1.0)), - test_ab("a like b", "abcd", "a???" , T(1.0)), - test_ab("a like b", "abcd", "ab??" , T(1.0)), - test_ab("a like b", "abcd", "abc?" , T(1.0)), - test_ab("a like b", "abcd", "???d" , T(1.0)), - test_ab("a like b", "abcd", "??cd" , T(1.0)), - test_ab("a like b", "abcd", "?bcd" , T(1.0)), - test_ab("a like b", "abcd", "?b?d" , T(1.0)), - test_ab("a like b", "abcd", "a?c?" , T(1.0)), - test_ab("a like b", "abcd", "a??d" , T(1.0)), - test_ab("a like b", "abcd", "?bc?" , T(1.0)), - test_ab("a like b", "abcd", "ab**" , T(1.0)), - test_ab("a like b", "abcd", "ab*?" , T(1.0)), - test_ab("a like b", "abcd", "a***" , T(1.0)), - test_ab("a like b", "abcd", "**cd" , T(1.0)), - test_ab("a like b", "abcd", "*?cd" , T(1.0)), - test_ab("a like b", "abcd", "***d" , T(1.0)), - test_ab("a like b", "abcd", "*bc*" , T(1.0)), - test_ab("a like b", "abcd", "*bc?" , T(1.0)), - test_ab("a like b", "abcd", "*b??" , T(1.0)), - test_ab("a like b", "abcd", "?bc*" , T(1.0)), - test_ab("a like b", "abcd", "??c*" , T(1.0)), - test_ab("a like b", "abcd", "*b?*" , T(1.0)), - test_ab("a like b", "ab" , "a*" , T(1.0)), - test_ab("a like b", "ab" , "a?" , T(1.0)), - - test_ab("a ilike b", "aBcD", "abcd*", T(1.0)), - test_ab("a ilike b", "aBcD", "abcd" , T(1.0)), - test_ab("a ilike b", "aBcD", "abc*" , T(1.0)), - test_ab("a ilike b", "aBcD", "*bcd" , T(1.0)), - test_ab("a ilike b", "aBcD", "abc?" , T(1.0)), - test_ab("a ilike b", "aBcD", "?bcd" , T(1.0)), - test_ab("a ilike b", "aBcD", "ab?d" , T(1.0)), - test_ab("a ilike b", "aBcD", "ab*d" , T(1.0)), - test_ab("a ilike b", "aBcD", "a?cd" , T(1.0)), - test_ab("a ilike b", "aBcD", "a*cd" , T(1.0)), - test_ab("a ilike b", "aBcD", "a??d" , T(1.0)), - test_ab("a ilike b", "aBcD", "a*?d" , T(1.0)), - test_ab("a ilike b", "aBcD", "*bc*" , T(1.0)), - test_ab("a ilike b", "aBcD", "?bc?" , T(1.0)), - test_ab("a ilike b", "aBcD", "????" , T(1.0)), - test_ab("a ilike b", "aBcD", "a???" , T(1.0)), - test_ab("a ilike b", "aBcD", "ab??" , T(1.0)), - test_ab("a ilike b", "aBcD", "abc?" , T(1.0)), - test_ab("a ilike b", "aBcD", "???d" , T(1.0)), - test_ab("a ilike b", "aBcD", "??cd" , T(1.0)), - test_ab("a ilike b", "aBcD", "?bcd" , T(1.0)), - test_ab("a ilike b", "aBcD", "?b?d" , T(1.0)), - test_ab("a ilike b", "aBcD", "a?c?" , T(1.0)), - test_ab("a ilike b", "aBcD", "a??d" , T(1.0)), - test_ab("a ilike b", "aBcD", "?bc?" , T(1.0)), - test_ab("a ilike b", "aBcD", "ab**" , T(1.0)), - test_ab("a ilike b", "aBcD", "ab*?" , T(1.0)), - test_ab("a ilike b", "aBcD", "a***" , T(1.0)), - test_ab("a ilike b", "aBcD", "**cd" , T(1.0)), - test_ab("a ilike b", "aBcD", "*?cd" , T(1.0)), - test_ab("a ilike b", "aBcD", "***d" , T(1.0)), - test_ab("a ilike b", "aBcD", "*bc*" , T(1.0)), - test_ab("a ilike b", "aBcD", "*bc?" , T(1.0)), - test_ab("a ilike b", "aBcD", "*b??" , T(1.0)), - test_ab("a ilike b", "aBcD", "?bc*" , T(1.0)), - test_ab("a ilike b", "aBcD", "??c*" , T(1.0)), - test_ab("a ilike b", "aBcD", "*b?*" , T(1.0)), - test_ab("a ilike b", "aB" , "a*" , T(1.0)), - test_ab("a ilike b", "aB" , "a?" , T(1.0)) - }; - - static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_ab); - - { - const std::size_t rounds = 50; - - for (std::size_t r = 0; r < rounds; ++r) - { - bool result = true; - - for (std::size_t i = 0; i < test_list_size; ++i) - { - test_ab& test = const_cast&>(test_list[i]); - - std::string str_a; - std::string str_b; - std::string str_c; - - T r0 = T(2); - T r1 = T(6); - T r2 = T(7); - T r3 = T(3); - - exprtk::symbol_table symbol_table; - symbol_table.add_stringvar("a", str_a); - symbol_table.add_stringvar("b", str_b); - symbol_table.add_stringvar("c", str_c); - symbol_table.add_variable("r0", r0); - symbol_table.add_variable("r1", r1); - symbol_table.add_variable("r2", r2); - symbol_table.add_variable("r3", r3); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(test.expr, expression)) - { - printf("run_test02() - Error: %s Expression: %s\n", - parser.error().c_str(), - test.expr.c_str()); - - result = false; - continue; - } - } - - str_a = test.a; - str_b = test.b; - str_c = test.c; - - T expr_result = expression.value(); - - if (not_equal(expr_result, test.result)) - { - printf("run_test02() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\t" - "a='%s'\tb='%s'\tc='%s'\n", - test.expr.c_str(), - static_cast(test.result), - static_cast(expr_result), - str_a.c_str(), - str_b.c_str(), - str_c.c_str()); - - result = false; - continue; - } - } - - if (!result) - { - return false; - } - } - } - - { - std::string s0; - std::string s1; - - const std::string expression_str = - " s0 := 'abc'; " - " s0 := (s1 := '0123456789'[2:8]); " - " s1 := 'xyz'; " - " s0 < s1; "; - - exprtk::symbol_table symbol_table; - symbol_table.add_stringvar("s0" ,s0); - symbol_table.add_stringvar("s1" ,s1); - - exprtk::expression expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test02() - [2] Error: %s Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - return false; - } - } - - if (T(0) == expression.value()) - { - printf("run_test02() - Evaluation Error [2]: Expression: [%s]\tExpected: True\n", - expression_str.c_str()); - - return false; - } - else if ("234567" != s0) - { - printf("run_test02() - Evaluation Error [2]: Expression: [%s]\tInvalid value for s0\n", - expression_str.c_str()); - - return false; - } - else if ("xyz" != s1) - { - printf("run_test02() - Evaluation Error [2]: Expression: [%s]\tInvalid value for s1\n", - expression_str.c_str()); - - return false; - } - } - - return true; -} - -template -bool run_test03() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - "A+A0+aA+Aa0+b+B1+Bb+bB1+A+A0+AA+AA0+B+B1+BB+BB1+a+a0+aa+aa0+b+b1+bb+bb1+" - "c+C2+Cc+Cc2+D+D3+dD+dD3+C+C2+CC+CC2+D+D3+DD+DD3+c+c2+cc+cc2+d+d3+dd+dd3+" - "E+E4+eE+Ee4+f+F5+Ff+fF5+E+E4+EE+EE4+F+F5+FF+FF5+e+e4+ee+ee4+f+f5+ff+ff5+" - "g+G6+Gg+Gg6+H+H7+hH+hH7+G+G6+GG+GG6+H+H7+HH+HH7+g+g6+gg+gg6+h+h7+hh+hh7+" - "I+I8+iI+Ii8+j+J9+Jj+jJ9+I+I8+II+II8+J+J9+JJ+JJ9+i+i8+ii+ii8+j+j9+jj+jj9+" - "k+K0+Kk+Kk0+L+L1+lL+lL1+K+K0+KK+KK0+L+L1+LL+LL1+k+k0+kk+kk0+l+l1+ll+ll1+" - "M+M2+mM+Mm2+n+N3+Nn+nN3+M+M2+MM+MM2+N+N3+NN+NN3+m+m2+mm+mm2+n+n3+nn+nn3+" - "o+O4+Oo+Oo4+P+P5+pP+pP5+O+O4+OO+OO4+P+P5+PP+PP5+o+o4+oo+oo4+p+p5+pp+pp5+" - "Q+Q6+qQ+Qq6+r+R7+Rr+rR7+Q+Q6+QQ+QQ6+R+R7+RR+RR7+q+q6+qq+qq6+r+r7+rr+rr7+" - "s+S8+Ss+Ss8+T+T9+tT+tT9+S+S8+SS+SS8+T+T9+TT+TT9+s+s8+ss+ss8+t+t9+tt+tt9+" - "U+U0+uU+Uu0+v+V1+Vv+vV1+U+U0+UU+UU0+V+V1+VV+VV1+u+u0+uu+uu0+v+v1+vv+vv1+" - "w+W2+Ww+Ww2+X+X3+xX+xX3+W+W2+WW+WW2+X+X3+XX+XX3+w+w2+ww+ww2+x+x3+xx+xx3+" - "Y+Y4+yY+Yy4+z+Z5+Zz+zZ5+Y+Y4+YY+YY4+Z+Z5+ZZ+ZZ5+y+y4+yy+yy4+z+z5+zz+zz5 "; - - static const std::string variable_list[] = - { - "A", "A0", "aA", "Aa0", "b", "B1", "Bb", "bB1", - "c", "C2", "Cc", "Cc2", "D", "D3", "dD", "dD3", - "E", "E4", "eE", "Ee4", "f", "F5", "Ff", "fF5", - "g", "G6", "Gg", "Gg6", "H", "H7", "hH", "hH7", - "I", "I8", "iI", "Ii8", "j", "J9", "Jj", "jJ9", - "k", "K0", "Kk", "Kk0", "L", "L1", "lL", "lL1", - "M", "M2", "mM", "Mm2", "n", "N3", "Nn", "nN3", - "o", "O4", "Oo", "Oo4", "P", "P5", "pP", "pP5", - "Q", "Q6", "qQ", "Qq6", "r", "R7", "Rr", "rR7", - "s", "S8", "Ss", "Ss8", "T", "T9", "tT", "tT9", - "U", "U0", "uU", "Uu0", "v", "V1", "Vv", "vV1", - "w", "W2", "Ww", "Ww2", "X", "X3", "xX", "xX3", - "Y", "Y4", "yY", "Yy4", "z", "Z5", "Zz", "zZ5" - }; - - static const std::size_t variable_list_size = sizeof(variable_list) / sizeof(std::string); - - static const std::size_t rounds = 300; - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table_t symbol_table_0; - symbol_table_t symbol_table_1; - expression_t expression; - - std::vector v; - v.resize(variable_list_size); - - for (std::size_t i = 0; i < variable_list_size; ++i) - { - v[i] = T(i); - if (i & 1) - symbol_table_0.add_variable(variable_list[i],v[i]); - else - symbol_table_1.add_variable(variable_list[i],v[i]); - } - - std::size_t total_symbol_count = symbol_table_0.variable_count() + - symbol_table_1.variable_count(); - - if (variable_list_size != total_symbol_count) - { - printf("run_test03() - Error - Invalid number of variables in symbol_table! Expected: %d got: %d\n", - static_cast(variable_list_size), - static_cast(total_symbol_count)); - - return false; - } - - symbol_table_0.add_constants(); - - expression.register_symbol_table(symbol_table_0); - expression.register_symbol_table(symbol_table_1); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test03() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - expression.value(); - } - - { - static const std::string invalid_expr[] = - { - "x y", - "x y z", - "x y z w", - "x 1", - "x 1 2", - "x 1 2 3", - "x 'abc'", - "x 1 'abc'", - "x 'abc' 1", - "1 2", - "1 2 3", - "1 2 3 4", - "'abc' 'xyz'", - "'abc' 1", - "1 'abc'", - "x sin(1)", - "s 'abc'", - "s x", - "s y", - "s 1", - "s 1 x", - "s 1 y", - "s x 1", - "s y 1", - "x s ", - "y s ", - "1 s ", - "1 s x", - "1 s y", - "x s 1", - "y s 1", - "v 'abc'", - "v x ", - "v y ", - "v s ", - "v 1 ", - "v 1 x", - "v 1 y", - "v 1 s", - "v x 1", - "v y 1", - "v s 1", - "x v ", - "y v ", - "1 v ", - "1 v x", - "1 v y", - "x v 1", - "y v 1", - - "(x == 'a string' )", - "(x == 'a string'[1:3] )", - "(x == 'a string' + 'b string' )", - "(x == ('a string' + 'b string')[3:6])", - "('a string' == x )", - "('a string'[1:3] == x )", - "('a string' + 'b string' == x )", - "(('a string' + 'b string')[3:6] == x)", - - "var a; var b; 3in(a)+sin(b) ", - "var a; var b; sin(a)+3in(b) ", - "var a; var b; sqrt(a)<3in(8) ", - "var a; var b; (1.99-3in((b-b))) ", - "var a; var b; ((3in(sin((b+b)))/1.06)-a) ", - "var a; var b; ((sin(3in((b+b)))/1.06)-a) ", - "var a; var b; (3in(x*(y+z))+cos(x*(y-z))) ", - "var a; var b; (cos(x*(y+z))+3in(x*(y-z))) ", - - "1++++", - "1+-+-+", - "1===", - "1====", - "[*][*][*][*][*]", - - "var v[1] := {}; var s0appe0 := false; repeat s0appe0 false for(){(){}}", - "var v[2] := {}; repeat var s0appe0 := false; s0appe0 false for(){(){}}", - "var v[3] := {}; repeat var s0appe0 := false; for(){(){}} s0appe0 false", - "var v[4] := {}; repeat var s0appe0 := false; s0appe0 for(){(){}} false", - "var v[5] := {}; repeat for(){(){}} var s0appe0 := false; s0appe0 false", - "var v{};v ;v 60;v 60;v o5", - - "var vv[4] := [0]; v[k]", - "var vv[4] := [0]; v[k + 1]", - "var vv[4] := [0]; v[1 + k]" - }; - - const std::size_t invalid_expr_size = sizeof(invalid_expr) / sizeof(std::string); - - { - for (std::size_t i = 0; i < invalid_expr_size; ++i) - { - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - T x = T(0); - std::string s; - std::vector v(10, T(1.234)); - - symbol_table.add_variable ("x",x); - symbol_table.add_stringvar("s",s); - symbol_table.add_vector ("v",v); - - if (parser.compile(invalid_expr[i],expression)) - { - printf("run_test03() - Error: [1] Invalid expression compiled successfully. Expression: %s\n", - invalid_expr[i].c_str()); - - return false; - } - } - } - - { - T x = T(0); - std::string s; - std::vector v(10, T(1.234)); - - symbol_table_t symbol_table; - parser_t parser; - - symbol_table.add_variable ("x",x); - symbol_table.add_stringvar("s",s); - symbol_table.add_vector ("v",v); - - for (std::size_t i = 0; i < invalid_expr_size; ++i) - { - exprtk::expression expression; - - if (parser.compile(invalid_expr[i],expression)) - { - printf("run_test03() - Error: [2] Invalid expression compiled successfully. Expression: %s\n", - invalid_expr[i].c_str()); - - return false; - } - } - } - - { - const std::string base_expression = - "1+(2+2(3+3(4+4cos(((((a+((x*(e-tan((cos((((((b/(tan(((1.60*a)-0.34))-0.76))-x)+y)-3.27)+a))/pi))))^a))+y)*b)-e))+e)/z)+w)+" - "(((b+(a/((((tan((b*((((((a-(cos((cos(tan(((a+a)*3.33)))-b))/2.52))*x)/b)+3.07)^0.86)+b)))*3.95)/0.39)*y)+a)))*a)*z)"; - - const std::string mod = - "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789^+-/*,;:<>=%?[]{}() #&'\"\\\t\r\n"; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - T a = T(1.1 ); - T b = T(2.2 ); - T c = T(3.3 ); - T d = T(4.5 ); - T e = T(4.5 ); - T x = T(2.123456); - T y = T(3.123456); - T z = T(4.123456); - T w = T(5.123456); - - symbol_table.add_variable("a", a); - symbol_table.add_variable("b", b); - symbol_table.add_variable("c", c); - symbol_table.add_variable("d", d); - symbol_table.add_variable("e", e); - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - symbol_table.add_variable("z", z); - symbol_table.add_variable("w", w); - - expression.register_symbol_table(symbol_table); - - T total = T(0); - - for (std::size_t j = 0; j < base_expression.size(); ++j) - { - std::string expression_str = base_expression; - const char old_c = base_expression[j]; - - for (std::size_t i = 0; i < mod.size(); ++i) - { - expression_str[j] = mod[i]; - - if (parser.compile(expression_str, expression)) - { - total += expression.value(); - } - } - - expression_str[j] = old_c; - } - - if (total == T(12345.6789)) { printf(" "); } - } - } - - return true; -} - -template -inline T clamp(const T& l, const T& v, const T& u) -{ - return (v < l) ? l : ((v > u) ? u : v); -} - -template -bool run_test04() -{ - const std::string expression_string = "clamp(-1.0,sin(2 * pi * x) + cos(y / 2 * pi),+1.0)"; - - exprtk::symbol_table symbol_table; - exprtk::expression expression; - - T x = T(-1000); - T y = T(-1000); - - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_constants(); - - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test04() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - const T pi = T(3.141592653589793238462643383279502); - const T increment = T(0.0001); - - while ((x <= T(+1000)) && (y <= T(+1000))) - { - T result1 = expression.value(); - T result2 = clamp(-1.0,std::sin(2 * pi * x) + std::cos(y / 2 * pi),+1.0); - - if (not_equal(result1,result2)) - { - printf("run_test04() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f x:%19.15f\ty:%19.15f\n", - expression_string.c_str(), - static_cast(result1), - static_cast(result2), - static_cast(x), - static_cast(y)); - - return false; - } - - x += increment; - y += increment; - } - - return true; -} - -template -bool run_test05() -{ - typedef exprtk::expression expression_t; - - const std::string expression_string = "clamp(-1.0,sin(2 * pi * x_var123) + cos(y_var123 / 2 * pi),+1.0)"; - - exprtk::symbol_table symbol_table; - std::deque expression_list; - - T x = T(-1000); - T y = T(-1000); - - symbol_table.add_variable("x_var123",x); - symbol_table.add_variable("y_var123",y); - symbol_table.add_constants(); - - const std::size_t expression_count = 10; - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t e; - e.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,e)) - { - printf("run_test05() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - expression_list.push_back(e); - } - - const T pi = T(3.141592653589793238462643383279502); - const T increment = T(0.001); - - while ((x <= T(+1000)) && (y <= T(+1000))) - { - T real_result = clamp(-1.0,std::sin(2 * pi * x) + std::cos(y / 2 * pi),+1.0); - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - expression_t& expr = expression_list[i]; - - T result = expr.value(); - - if (not_equal(result,real_result)) - { - printf("run_test05() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f x:%19.15f\ty:%19.15f\tIndex:%d\n", - expression_string.c_str(), - static_cast(real_result), - static_cast(result), - static_cast(x), - static_cast(y), - static_cast(i)); - - return false; - } - } - - x += increment; - y += increment; - } - - return true; -} - -template -bool run_test06() -{ - typedef exprtk::expression expression_t; - - const std::string expression_string = "sqrt(1 - (x^2))"; - - T x = T(0); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test06() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - T total_area1 = exprtk::integrate(expression,x,T(-1),T(1)); - T total_area2 = exprtk::integrate(expression,"x",T(-1),T(1)); - const T pi = T(3.141592653589793238462643383279502); - - if (not_equal(total_area1,total_area2,T(0.000001))) - { - printf("run_test06() - Integration Error: area1 != area2\n"); - return false; - } - - if (not_equal(total_area1,T(pi) / T(2),T(0.000001))) - { - printf("run_test06() - Integration Error: Expected: %19.15f\tResult: %19.15f\n", - static_cast(pi / T(2)), - static_cast(total_area1)); - - return false; - } - - return true; -} - -template -bool run_test07() -{ - typedef exprtk::expression expression_t; - - const std::string expression_string = "sin(2x + 1 / 3)"; - - T x = T(0); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test07() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - for (x = T(-200); x < T(200); x += T(0.0001)) - { - { - T deriv1_real_result = T(2) * std::cos(T(2) * x + T(1.0 / 3.0)); - T deriv1_result1 = exprtk::derivative(expression,x); - T deriv1_result2 = exprtk::derivative(expression,"x"); - - if (not_equal(deriv1_result1,deriv1_result2,T(0.00001))) - { - printf("run_test07() - 1st Derivative Error: result1 != result2\n"); - return false; - } - - if (not_equal(deriv1_result1,deriv1_real_result,T(0.00001))) - { - printf("run_test07() - 1st Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", - static_cast(x), - static_cast(deriv1_real_result), - static_cast(deriv1_result1)); - - return false; - } - } - - { - T deriv2_real_result = T(-4) * std::sin(T(2) * x + T(1.0 / 3.0)); - T deriv2_result1 = exprtk::second_derivative(expression,x); - T deriv2_result2 = exprtk::second_derivative(expression,"x"); - - if (not_equal(deriv2_result1,deriv2_result2,T(0.0000001))) - { - printf("run_test07() - 2nd Derivative Error: result1 != result2\n"); - return false; - } - - if (not_equal(deriv2_result1,deriv2_real_result,T(0.01))) - { - printf("run_test07() - 2nd Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", - static_cast(x), - static_cast(deriv2_real_result), - static_cast(deriv2_result1)); - - return false; - } - } - - { - T deriv3_real_result = T(-8) * std::cos(T(2) * x + T(1.0 / 3.0)); - T deriv3_result1 = exprtk::third_derivative(expression,x); - T deriv3_result2 = exprtk::third_derivative(expression,"x"); - - if (not_equal(deriv3_result1,deriv3_result2,T(0.0000001))) - { - printf("run_test07() - 3rd Derivative Error: result1 != result2\n"); - return false; - } - - if (not_equal(deriv3_result1,deriv3_real_result,T(0.01))) - { - printf("run_test07() - 3rd Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", - static_cast(x), - static_cast(deriv3_real_result), - static_cast(deriv3_result1)); - - return false; - } - } - } - - return true; -} - -template -bool run_test08() -{ - - static const std::string expr_str[] = - { - "x", "y", "z", "w", "u", - "x + y + z + w + u", - "x + y / z * w ^ u", - "x:=1.1", "y:=2.2", "z:=3.3", "w:=4.4", "u:=5.5", - "x:=x+1.1", "y:=y+2.2", "z:=z+3.3", "w:=w+4.4", "u:=u+5.5", - "x:=1.1+x", "y:=2.2+y", "z:=3.3+z", "w:=4.4+w", "u:=5.5+u", - "x:=(x <= 1.1)", - "y:=(2.2 >= y)", - "z:=(3.3 and z)", - "w:=(4.4 or w)", - "u:=(u xor 5.5)", - "min(x,y) + min(x,y,z) + min(x,y,z,w) + min(x,y,z,w,y)", - "max(x,y) + max(x,y,z) + max(x,y,z,w) + max(x,y,z,w,y)", - "avg(x,y)", - "avg(x,y,z)", - "avg(x,y,z,w)", - "avg(x,y,z,w,u)", - "(u := u := min(x:=1,y:=2,z:=3)) == 1", - "(2x+3y+4z+5w)==(2*x+3*y+4*z+5*w)", - "(3(x+y)/2+1)==(3*(x+y)/2+1)", - "((x+y)3+1/4)==((x+y)*3+1/4)", - "((x+y)z+1/2)==((x+y)*z+1/2)", - "(x+y^3/z) == (x+(y*y*y)/z)", - "(z-x^3+y^2*7) == (z-(x*x*x)+(y*y)*7)", - "(3min(x,y))==(3*min(x,y))", - "(sin(x)y)==(sin(x)*y)", - "(sin(x)cos(y)+1)==(sin(x)*cos(y)+1)", - "(sgn(sin(x))cos(sgn(y))+1)==(sgn(sin(x))*cos(sgn(y))+1)", - "equal($f00(x,y,z),(x+y)/z)", - "equal($f01(x,y,z),(x+y)*z)", - "equal($f02(x,y,z),(x+y)-z)", - "equal($f03(x,y,z),(x+y)+z)", - "equal($f04(x,y,z),(x-y)+z)", - "equal($f05(x,y,z),(x-y)/z)", - "equal($f06(x,y,z),(x-y)*z)", - "equal($f07(x,y,z),(x*y)+z)", - "equal($f08(x,y,z),(x*y)-z)", - "equal($f09(x,y,z),(x*y)/z)", - "equal($f10(x,y,z),(x*y)*z)", - "equal($f11(x,y,z),(x/y)+z)", - "equal($f12(x,y,z),(x/y)-z)", - "equal($f13(x,y,z),(x/y)/z)", - "equal($f14(x,y,z),(x/y)*z)", - "equal($f15(x,y,z),x/(y+z))", - "equal($f16(x,y,z),x/(y-z))", - "equal($f17(x,y,z),x/(y*z))", - "equal($f18(x,y,z),x/(y/z))", - "equal($f19(x,y,z),x*(y+z))", - "equal($f20(x,y,z),x*(y-z))", - "equal($f21(x,y,z),x*(y*z))", - "equal($f22(x,y,z),x*(y/z))", - "equal($f23(x,y,z),x-(y+z))", - "equal($f24(x,y,z),x-(y-z))", - "equal($f25(x,y,z),x-(y/z))", - "equal($f26(x,y,z),x-(y*z))", - "equal($f27(x,y,z),x+(y*z))", - "equal($f28(x,y,z),x+(y/z))", - "equal($f29(x,y,z),x+(y+z))", - "equal($f30(x,y,z),x+(y-z))", - "equal($f31(x,y,z),x*y^2+z)", - "equal($f32(x,y,z),x*y^3+z)", - "equal($f33(x,y,z),x*y^4+z)", - "equal($f34(x,y,z),x*y^5+z)", - "equal($f35(x,y,z),x*y^6+z)", - "equal($f36(x,y,z),x*y^7+z)", - "equal($f37(x,y,z),x*y^8+z)", - "equal($f38(x,y,z),x*y^9+z)", - "equal($f39(x,y,z),x*log(y)+z)", - "equal($f40(x,y,z),x*log(y)-z)", - "equal($f41(x,y,z),x*log10(y)+z)", - "equal($f42(x,y,z),x*log10(y)-z)", - "equal($f43(x,y,z),x*sin(y)+z)", - "equal($f44(x,y,z),x*sin(y)-z)", - "equal($f45(x,y,z),x*cos(y)+z)", - "equal($f46(x,y,z),x*cos(y)-z)", - "equal($f47(x,y,z),if(0!=x,y,z))", - "equal($f48(x,y,z,w),x+((y+z)/w))", - "equal($f49(x,y,z,w),x+((y+z)*w))", - "equal($f50(x,y,z,w),x+((y-z)/w))", - "equal($f51(x,y,z,w),x+((y-z)*w))", - "equal($f52(x,y,z,w),x+((y*z)/w))", - "equal($f53(x,y,z,w),x+((y*z)*w))", - "equal($f54(x,y,z,w),x+((y/z)+w))", - "equal($f55(x,y,z,w),x+((y/z)/w))", - "equal($f56(x,y,z,w),x+((y/z)*w))", - "equal($f57(x,y,z,w),x-((y+z)/w))", - "equal($f58(x,y,z,w),x-((y+z)*w))", - "equal($f59(x,y,z,w),x-((y-z)/w))", - "equal($f60(x,y,z,w),x-((y-z)*w))", - "equal($f61(x,y,z,w),x-((y*z)/w))", - "equal($f62(x,y,z,w),x-((y*z)*w))", - "equal($f63(x,y,z,w),x-((y/z)/w))", - "equal($f64(x,y,z,w),x-((y/z)*w))", - "equal($f65(x,y,z,w),((x+y)*z)-w)", - "equal($f66(x,y,z,w),((x-y)*z)-w)", - "equal($f67(x,y,z,w),((x*y)*z)-w)", - "equal($f68(x,y,z,w),((x/y)*z)-w)", - "equal($f69(x,y,z,w),((x+y)/z)-w)", - "equal($f70(x,y,z,w),((x-y)/z)-w)", - "equal($f71(x,y,z,w),((x*y)/z)-w)", - "equal($f72(x,y,z,w),((x/y)/z)-w)", - "equal($f73(x,y,z,w),(x*y)+(z*w))", - "equal($f74(x,y,z,w),(x*y)-(z*w))", - "equal($f75(x,y,z,w),(x*y)+(z/w))", - "equal($f76(x,y,z,w),(x*y)-(z/w))", - "equal($f77(x,y,z,w),(x/y)+(z/w))", - "equal($f78(x,y,z,w),(x/y)-(z/w))", - "equal($f79(x,y,z,w),(x/y)-(z*w))", - "equal($f80(x,y,z,w),x/(y+(z*w)))", - "equal($f81(x,y,z,w),x/(y-(z*w)))", - "equal($f82(x,y,z,w),x*(y+(z*w)))", - "equal($f83(x,y,z,w),x*(y-(z*w)))", - "equal($f84(x,y,z,w),x*y^2+z*w^2)", - "equal($f85(x,y,z,w),x*y^3+z*w^3)", - "equal($f86(x,y,z,w),x*y^4+z*w^4)", - "equal($f87(x,y,z,w),x*y^5+z*w^5)", - "equal($f88(x,y,z,w),x*y^6+z*w^6)", - "equal($f89(x,y,z,w),x*y^7+z*w^7)", - "equal($f90(x,y,z,w),x*y^8+z*w^8)", - "equal($f91(x,y,z,w),x*y^9+z*w^9)", - "equal($f92(x,y,z,w),if(x and y,z,w))", - "equal($f93(x,y,z,w),if(x or y,z,w))", - "equal($f94(x,y,z,w),if(x < y,z,w))", - "equal($f95(x,y,z,w),if(x <= y,z,w))", - "equal($f96(x,y,z,w),if(x > y,z,w))", - "equal($f97(x,y,z,w),if(x >= y,z,w))", - "equal($f98(x,y,z,w),if(equal(x,y),z,w))", - "equal($f92(x,y,z,w),x and y ? z : w)", - "equal($f93(x,y,z,w),x or y ? z : w)", - "equal($f94(x,y,z,w),x < y ? z : w)", - "equal($f95(x,y,z,w),x <= y ? z : w)", - "equal($f96(x,y,z,w),x > y ? z : w)", - "equal($f97(x,y,z,w),x >= y ? z : w)", - "equal($f98(x,y,z,w),equal(x,y) ? z : w)", - "equal($f99(x,y,z,w),x*sin(y)+z*cos(w))" - }; - - static const std::size_t expr_str_size = sizeof(expr_str) / sizeof(std::string); - - static const std::size_t rounds = 25; - - for (std::size_t i = 0; i < rounds; ++i) - { - for (std::size_t j = 0; j < expr_str_size; ++j) - { - typedef exprtk::expression expression_t; - - T x = T(1.12345); - T y = T(2.12345); - T z = T(3.12345); - T w = T(4.12345); - T u = T(5.12345); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - symbol_table.add_variable("u",u); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expr_str[j],expression)) - { - printf("run_test08() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str[j].c_str()); - - return false; - } - } - - expression.value(); - } - } - - return true; -} - -template -struct myfunc exprtk_test_final : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - myfunc() : exprtk::ifunction(2) {} - - inline T operator()(const T& v1, const T& v2) - { - return T(1) + (v1 * v2) / T(3); - } -}; - -#define define_free_functions(N,Type) \ -inline Type N##1(Type v0) { return v0; } \ -inline Type N##2(Type v0, Type v1) { return v0 + v1; } \ -inline Type N##3(Type v0, Type v1, Type v2) { return v0 + v1 + v2; } \ -inline Type N##4(Type v0, Type v1, Type v2, Type v3) { return v0 + v1 + v2 + v3; } \ -inline Type N##5(Type v0, Type v1, Type v2, Type v3, Type v4) { return v0 + v1 + v2 + v3 + v4; } \ -inline Type N##6(Type v0, Type v1, Type v2, Type v3, Type v4, Type v5) { return v0 + v1 + v2 + v3 + v4 + v5; } \ - -define_free_functions(foo,numeric_type) -#undef define_free_functions - -template -bool run_test09() -{ - { - static const std::size_t rounds = 1000; - - for (std::size_t i = 0; i < rounds; ++i) - { - typedef exprtk::expression expression_t; - const std::string expression_string = - "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" - "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" - "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" - "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" - "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" - "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" - "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" - "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" - "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" - "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" - "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" - "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" - "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" - "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" - "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" - "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" - "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" - "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" - "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" - "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)"; - - T x = T(1) + (i / T(10000)); - T y = T(2) + (i / T(10000)); - myfunc mf; - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_function("myfunc0",mf); - symbol_table.add_function("myfunc1",mf); - symbol_table.add_function("myfunc2",mf); - symbol_table.add_function("myfunc3",mf); - symbol_table.add_function("myfunc4",mf); - symbol_table.add_function("myfunc5",mf); - symbol_table.add_function("myfunc6",mf); - symbol_table.add_function("myfunc7",mf); - symbol_table.add_function("myfunc8",mf); - symbol_table.add_function("myfunc9",mf); - symbol_table.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test09() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - const T pi = T(3.141592653589793238462643383279502); - - const T result = expression.value(); - - const T expected = - T(4) * - ( - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) + - mf(sin(x * pi), y / T(2)) - ); - - if (not_equal(result,expected,T(0.0000001))) - { - printf("run_test09() - Error Expected: %19.15f\tResult: %19.15f\n", - static_cast(expected), - static_cast(result)); - - return false; - } - } - } - - { - typedef exprtk::expression expression_t; - typedef exprtk::symbol_table symbol_table_t; - - bool result = true; - - const std::string expression_list[] = - { - "foo1(1) == 1", - "foo2(1,2) == (1 + 2)", - "foo3(1,2,3) == (1 + 2 + 3)", - "foo4(1,2,3,4) == (1 + 2 + 3 + 4)", - "foo5(1,2,3,4,5) == (1 + 2 + 3 + 4 + 5)", - "foo6(1,2,3,4,5,6) == (1 + 2 + 3 + 4 + 5 + 6)" - }; - - const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - symbol_table_t symbol_table; - - symbol_table.add_function("foo1",foo1); - symbol_table.add_function("foo2",foo2); - symbol_table.add_function("foo3",foo3); - symbol_table.add_function("foo4",foo4); - symbol_table.add_function("foo5",foo5); - symbol_table.add_function("foo6",foo6); - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test09() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_list[i].c_str()); - - result = false; - } - } - - if (!result) - return false; - } - - return true; -} - -template -bool run_test10() -{ - typedef exprtk::expression expression_t; - - T x = T(1.1); - T y = T(2.2); - T xx = T(3.3); - T yy = T(4.4); - - std::string i_s = "A String"; - std::string j_s = "Another String"; - std::string ii_s = "A String"; - std::string jj_s = "Another String"; - - struct test - { - static inline bool variable(exprtk::symbol_table& symbol_table, const std::string& variable_name, const T& value) - { - exprtk::details::variable_node* var = symbol_table.get_variable(variable_name); - - if (var) - return (!not_equal(var->ref(),value)); - else - return false; - } - - static inline bool string(exprtk::symbol_table& symbol_table, const std::string& string_name, const std::string& str) - { - exprtk::details::stringvar_node* str_node = symbol_table.get_stringvar(string_name); - - if (str_node) - return (str_node->ref() == str); - else - return false; - } - }; - - { - static const std::size_t rounds = 10; - - exprtk::symbol_table symbol_table; - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_variable("x" , x ); - symbol_table.add_variable("y" , y ); - symbol_table.add_variable("xx", xx); - symbol_table.add_variable("yy", yy); - - if (!symbol_table.symbol_exists("x")) - { - printf("run_test10() - Symbol 'x' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("y")) - { - printf("run_test10() - Symbol 'y' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("xx")) - { - printf("run_test10() - Symbol 'xx' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("yy")) - { - printf("run_test10() - Symbol 'yy' does not exist!\n"); - return false; - } - else if (!test::variable(symbol_table, "x", x)) - { - printf("run_test10() - Symbol 'x' value failure!\n"); - return false; - } - else if (!test::variable(symbol_table, "y", y)) - { - printf("run_test10() - Symbol 'y' value failure!\n"); - return false; - } - else if (!test::variable(symbol_table, "xx", xx)) - { - printf("run_test10() - Symbol 'xx' value failure!\n"); - return false; - } - else if (!test::variable(symbol_table, "yy", yy)) - { - printf("run_test10() - Symbol 'yy' value failure!\n"); - return false; - } - - if (!symbol_table.remove_variable("x")) - { - printf("run_test10() - Failed to remove symbol 'x'!\n"); - return false; - } - else if (!symbol_table.remove_variable("y")) - { - printf("run_test10() - Failed to remove symbol 'y'!\n"); - return false; - } - else if (!symbol_table.remove_variable("xx")) - { - printf("run_test10() - Failed to remove symbol 'xx'!\n"); - return false; - } - else if (!symbol_table.remove_variable("yy")) - { - printf("run_test10() - Failed to remove symbol 'yy'!\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - myfunc mf; - - symbol_table.add_function("f", mf); - symbol_table.add_function("f1", mf); - - if (!symbol_table.symbol_exists("f")) - { - printf("run_test10() - function 'f' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("f1")) - { - printf("run_test10() - function 'f1' does not exist!\n"); - return false; - } - - if (!symbol_table.remove_function("f")) - { - printf("run_test10() - Failed to remove function 'f'!\n"); - return false; - } - else if (!symbol_table.remove_function("f1")) - { - printf("run_test10() - Failed to remove function 'f1'!\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_stringvar("i", i_s); - symbol_table.add_stringvar("j", j_s); - - symbol_table.add_stringvar("ii", ii_s); - symbol_table.add_stringvar("jj", jj_s); - - if (!symbol_table.symbol_exists("i")) - { - printf("run_test10() - String 'i' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("j")) - { - printf("run_test10() - String 'j' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("ii")) - { - printf("run_test10() - String 'ii' does not exist!\n"); - return false; - } - else if (!symbol_table.symbol_exists("jj")) - { - printf("run_test10() - String 'jj' does not exist!\n"); - return false; - } - else if (!test::string(symbol_table, "i", i_s)) - { - printf("run_test10() - String 'i' value failure!\n"); - return false; - } - else if (!test::string(symbol_table, "j", j_s)) - { - printf("run_test10() - String 'j' value failure!\n"); - return false; - } - else if (!test::string(symbol_table, "ii", ii_s)) - { - printf("run_test10() - String 'ii' value failure!\n"); - return false; - } - else if (!test::string(symbol_table, "jj", jj_s)) - { - printf("run_test10() - String 'jj' value failure!\n"); - return false; - } - else if (!symbol_table.remove_stringvar("i")) - { - printf("run_test10() - Failed to remove String 'i'!\n"); - return false; - } - else if (!symbol_table.remove_stringvar("j")) - { - printf("run_test10() - Failed to remove String 'j'!\n"); - return false; - } - else if (!symbol_table.remove_stringvar("ii")) - { - printf("run_test10() - Failed to remove String 'ii'!\n"); - return false; - } - else if (!symbol_table.remove_stringvar("jj")) - { - printf("run_test10() - Failed to remove String 'jj'!\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_variable("x" , x ); - symbol_table.add_variable("y" , y ); - symbol_table.add_variable("xx", xx); - symbol_table.add_variable("yy", yy); - - std::vector expected_var_list; - - expected_var_list.push_back("x" ); - expected_var_list.push_back("y" ); - expected_var_list.push_back("xx"); - expected_var_list.push_back("yy"); - - std::deque > variable_list; - - symbol_table.get_variable_list(variable_list); - - if (variable_list.size() != expected_var_list.size()) - { - printf("run_test10() - Failed to get variable list (1)\n"); - return false; - } - - std::size_t found_count = 0; - - for (std::size_t i = 0; i < variable_list.size(); ++i) - { - for (std::size_t j = 0; j < expected_var_list.size(); ++j) - { - if (variable_list[i].first == expected_var_list[j]) - { - ++found_count; - break; - } - } - } - - if (found_count != expected_var_list.size()) - { - printf("run_test10() - Failed to get variable list (2)\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_variable("x" , x ); - symbol_table.add_variable("y" , y ); - symbol_table.add_variable("xx", xx); - symbol_table.add_variable("yy", yy); - - std::vector expected_var_list; - - expected_var_list.push_back("x" ); - expected_var_list.push_back("y" ); - expected_var_list.push_back("xx"); - expected_var_list.push_back("yy"); - - std::deque variable_list; - - symbol_table.get_variable_list(variable_list); - - if (variable_list.size() != expected_var_list.size()) - { - printf("run_test10() - Failed to get variable list (3)\n"); - return false; - } - - std::size_t found_count = 0; - - for (std::size_t i = 0; i < variable_list.size(); ++i) - { - for (std::size_t j = 0; j < expected_var_list.size(); ++j) - { - if (variable_list[i] == expected_var_list[j]) - { - ++found_count; - break; - } - } - } - - if (found_count != expected_var_list.size()) - { - printf("run_test10() - Failed to get variable list (4)\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_stringvar("i" , i_s ); - symbol_table.add_stringvar("j" , j_s ); - symbol_table.add_stringvar("ii", ii_s); - symbol_table.add_stringvar("jj", jj_s); - - std::vector expected_var_list; - - expected_var_list.push_back("i" ); - expected_var_list.push_back("j" ); - expected_var_list.push_back("ii"); - expected_var_list.push_back("jj"); - - std::deque > stringvar_list; - - symbol_table.get_stringvar_list(stringvar_list); - - if (stringvar_list.size() != expected_var_list.size()) - { - printf("run_test10() - Failed to get stringvar list (1)\n"); - return false; - } - - std::size_t found_count = 0; - - for (std::size_t i = 0; i < stringvar_list.size(); ++i) - { - for (std::size_t j = 0; j < expected_var_list.size(); ++j) - { - if (stringvar_list[i].first == expected_var_list[j]) - { - ++found_count; - break; - } - } - } - - if (found_count != expected_var_list.size()) - { - printf("run_test10() - Failed to get stringvar list (2)\n"); - return false; - } - } - - for (std::size_t r = 0; r < rounds; ++r) - { - symbol_table.add_stringvar("i" , i_s ); - symbol_table.add_stringvar("j" , j_s ); - symbol_table.add_stringvar("ii", ii_s); - symbol_table.add_stringvar("jj", jj_s); - - std::vector expected_var_list; - - expected_var_list.push_back("i" ); - expected_var_list.push_back("j" ); - expected_var_list.push_back("ii"); - expected_var_list.push_back("jj"); - - std::deque stringvar_list; - - symbol_table.get_stringvar_list(stringvar_list); - - if (stringvar_list.size() != expected_var_list.size()) - { - printf("run_test10() - Failed to get stringvar list (3.0)\n"); - return false; - } - - if (symbol_table.stringvar_count() != expected_var_list.size()) - { - printf("run_test10() - Failed to get stringvar list (3.1)\n"); - return false; - } - - std::size_t found_count = 0; - - for (std::size_t i = 0; i < stringvar_list.size(); ++i) - { - for (std::size_t j = 0; j < expected_var_list.size(); ++j) - { - if (stringvar_list[i] == expected_var_list[j]) - { - ++found_count; - break; - } - } - } - - if (found_count != expected_var_list.size()) - { - printf("run_test10() - Failed to get stringvar list (4)\n"); - return false; - } - } - } - - { - T x0 = T(0); - T y0 = T(0); - T z0 = T(0); - - std::string expression_string = "(x0 + y0) / z0"; - - static const std::size_t rounds = 100; - - for (std::size_t i = 0; i < rounds; ++i) - { - expression_t expression0; - - x0 = T(i + 1.11); - y0 = T(i + 2.22); - z0 = T(i + 3.33); - - exprtk::symbol_table st0; - - st0.add_variable("x0",x0); - st0.add_variable("y0",y0); - st0.add_variable("z0",z0); - - expression0.register_symbol_table(st0); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression0)) - { - printf("run_test10() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - { - expression_t expression1; - exprtk::symbol_table st1 = st0; - expression1.register_symbol_table(st1); - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression1)) - { - printf("run_test10() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - st1.remove_variable("x0"); - st1.remove_variable("y0"); - st1.remove_variable("z0"); - } - } - } - - { - T a = T(1); - T b = T(2); - T c = T(3); - T d = T(4); - - std::string e = "string"; - - exprtk::symbol_table symbol_table; - - symbol_table.add_variable ("a",a); - symbol_table.add_variable ("b",b); - symbol_table.add_variable ("c",c); - symbol_table.add_variable ("d",d); - symbol_table.add_stringvar("e",e); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - std::string expression_string = "(E == '1234') and (sin(a) + C) / b"; - - typedef exprtk::parser parser_t; - typedef typename parser_t::dependent_entity_collector::symbol_t symbol_t; - - std::deque symbol_list; - - { - parser_t parser; - - parser.dec().collect_variables() = true; - parser.dec().collect_functions() = true; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test10() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - - parser.dec().symbols(symbol_list); - } - - std::deque expected_symbol_list; - - expected_symbol_list.push_back(symbol_t("a" ,parser_t::e_st_variable)); - expected_symbol_list.push_back(symbol_t("b" ,parser_t::e_st_variable)); - expected_symbol_list.push_back(symbol_t("c" ,parser_t::e_st_variable)); - expected_symbol_list.push_back(symbol_t("e" ,parser_t::e_st_string )); - expected_symbol_list.push_back(symbol_t("sin",parser_t::e_st_function)); - - bool result = (symbol_list.size() == expected_symbol_list.size()) && - std::equal(symbol_list.begin(), - symbol_list.end(), - expected_symbol_list.begin()); - if (!result) - { - printf("run_test10() - Failed variable list comparison.(5)\n"); - return false; - } - } - - { - T a = T(1); - T b = T(2); - T c = T(3); - T d = T(4); - - std::string e = "string"; - - exprtk::symbol_table symbol_table; - - symbol_table.add_variable ("a",a); - symbol_table.add_variable ("b",b); - symbol_table.add_variable ("c",c); - symbol_table.add_variable ("d",d); - symbol_table.add_stringvar("e",e); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - const std::string expression_string = - "a := b + c; " - "b := c + d; " - "c := d + 1; " - "e := e + 'abc'; "; - - typedef exprtk::parser parser_t; - typedef typename parser_t::dependent_entity_collector::symbol_t symbol_t; - - std::deque variable_list; - - { - parser_t parser; - - parser.dec().collect_assignments() = true; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test10() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - - parser.dec().assignment_symbols(variable_list); - } - - std::deque expected_assignment_list; - - expected_assignment_list.push_back(symbol_t("a",parser_t::e_st_variable)); - expected_assignment_list.push_back(symbol_t("b",parser_t::e_st_variable)); - expected_assignment_list.push_back(symbol_t("c",parser_t::e_st_variable)); - expected_assignment_list.push_back(symbol_t("e",parser_t::e_st_string )); - - bool result = (variable_list.size() == expected_assignment_list.size()) && - std::equal(variable_list.begin(), - variable_list.end(), - expected_assignment_list.begin()); - if (!result) - { - printf("run_test10() - Failed variable list comparison.(6)\n"); - return false; - } - } - - { - exprtk::symbol_table symbol_table0; - exprtk::symbol_table symbol_table1; - - if (symbol_table0 == symbol_table1) - { - printf("run_test10() - Error symbol_table0 and symbol_table1 are equal\n"); - return false; - } - - symbol_table0 = symbol_table1; - symbol_table1 = symbol_table0; - - if (!(symbol_table0 == symbol_table1)) - { - printf("run_test10() - Error symbol_table0 and symbol_table1 are not equal\n"); - return false; - } - } - - { - T a = T(1); - T b = T(2); - T c = T(3); - T d = T(4); - - std::string e = "a string"; - - exprtk::symbol_table symbol_table0; - exprtk::symbol_table symbol_table1; - expression_t expression; - - for (std::size_t i = 0; i < 10000; ++i) - { - symbol_table0.clear(); - symbol_table1.clear(); - - symbol_table0.add_variable ("a",a); - symbol_table0.add_variable ("b",b); - symbol_table0.add_variable ("c",c); - symbol_table0.add_variable ("d",d); - symbol_table0.add_stringvar("e",e); - symbol_table0.add_constants( ); - - symbol_table1.add_variable ("a",a); - symbol_table1.add_variable ("b",b); - symbol_table1.add_variable ("c",c); - symbol_table1.add_variable ("d",d); - symbol_table1.add_stringvar("e",e); - symbol_table1.add_constants( ); - - expression.register_symbol_table(symbol_table0); - expression.register_symbol_table(symbol_table1); - } - } - - { - const std::string expression = - "for (var i := 0; i < min(x[],y[],z[]); i += 1)" - "{ z[i] := 3sin(x[i]) + 2log(y[i]); }"; - - std::vector var_symbol_list; - std::vector func_symbol_list; - - if (!exprtk::collect_variables(expression, var_symbol_list)) - { - printf("run_test10() - Failed to collect variables.\n"); - return false; - } - - if (!exprtk::collect_functions(expression, func_symbol_list)) - { - printf("run_test10() - Failed to collect functions.\n"); - return false; - } - - std::sort(var_symbol_list .begin(), var_symbol_list .end()); - std::sort(func_symbol_list.begin(), func_symbol_list.end()); - - std::vector expected_var_symbol_list; - std::vector expected_func_symbol_list; - - expected_var_symbol_list.push_back("i"); - expected_var_symbol_list.push_back("x"); - expected_var_symbol_list.push_back("y"); - expected_var_symbol_list.push_back("z"); - - expected_func_symbol_list.push_back("log"); - expected_func_symbol_list.push_back("min"); - expected_func_symbol_list.push_back("sin"); - - const bool var_result = (var_symbol_list.size() == expected_var_symbol_list.size()) && - std::equal(var_symbol_list.begin(), - var_symbol_list.end(), - expected_var_symbol_list.begin()); - if (!var_result) - { - printf("run_test10() - Failed collected variable comparison between received and expected variables\n"); - return false; - } - - const bool func_result = (func_symbol_list.size() == expected_func_symbol_list.size()) && - std::equal(func_symbol_list.begin(), - func_symbol_list.end(), - expected_func_symbol_list.begin()); - if (!func_result) - { - printf("run_test10() - Failed collected functions comparison between received and expected functions\n"); - return false; - } - } - - { - const std::string expression_list[] = - { - "var x; 1", - "var x := 1; x", - "var x:= 1; x - -1 == 2", - "var x:= 1; x --1 == 2", - "var x:= 1; x-- 1 == 2", - "var x:= 1; x--1 == 2", - "var x:= 1; x -- -1== 0", - "var x:= 1; x + -1 == 0", - "var x:= 1; x +-1 == 0", - "var x:= 1; x+- 1 == 0", - "var x:= 1; x+-1 == 0", - "var x:= 1; x +- -1== 2", - "var x:= 1; x + +1 == 2", - "var x:= 1; x ++1 == 2", - "var x:= 1; 1 - -x == 2", - "var x:= 1; 1 --x == 2", - "var x:= 1; 1-- x == 2", - "var x:= 1; 1--x == 2", - "var x:= 1; 1 -- -x== 0", - "var x:= 1; 1 + -x == 0", - "var x:= 1; 1 +-x == 0", - "var x:= 1; 1+- x == 0", - "var x:= 1; 1+-x == 0", - "var x:= 1; 1 +- -x== 2", - "var x:= 1; 1 + +x == 2", - "var x:= 1; 1 ++x == 2", - "var x:= 1; (x - -1 + 1) == 3", - "var x:= 1; (x --1 + 1) == 3", - "var x:= 1; (x-- 1 + 1) == 3", - "var x:= 1; (x--1 + 1) == 3", - "var x:= 1; (x -- -1 + 1) == 1", - "var x:= 1; (x + -1 + 1) == 1", - "var x:= 1; (x +-1 + 1) == 1", - "var x:= 1; (x+- 1 + 1) == 1", - "var x:= 1; (x+-1 + 1) == 1", - "var x:= 1; (x +- -1 + 1) == 3", - "var x:= 1; (x + +1 + 1) == 3", - "var x:= 1; (x ++1 + 1) == 3", - "var x:= 1; (1 - -x + 1) == 3", - "var x:= 1; (1 --x + 1) == 3", - "var x:= 1; (1-- x + 1) == 3", - "var x:= 1; (1--x + 1) == 3", - "var x:= 1; (1 -- -x + 1) == 1", - "var x:= 1; (1 + -x + 1) == 1", - "var x:= 1; (1 +-x + 1) == 1", - "var x:= 1; (1+- x + 1) == 1", - "var x:= 1; (1+-x + 1) == 1", - "var x:= 1; (1 +- -x + 1) == 3", - "var x:= 1; (1 + +x + 1) == 3", - "var x:= 1; (1 ++x + 1) == 3", - "var x:= 1; (x - -1 - 1) == 1", - "var x:= 1; (x --1 - 1) == 1", - "var x:= 1; (x-- 1 - 1) == 1", - "var x:= 1; (x--1 - 1) == 1", - "var x:= 1; (x -- -1 - 1) == -1", - "var x:= 1; (x + -1 - 1) == -1", - "var x:= 1; (x +-1 - 1) == -1", - "var x:= 1; (x+- 1 - 1) == -1", - "var x:= 1; (x+-1 - 1) == -1", - "var x:= 1; (x +- -1 - 1) == 1", - "var x:= 1; (x + +1 - 1) == 1", - "var x:= 1; (x ++1 - 1) == 1", - "var x:= 1; (1 - -x - 1) == 1", - "var x:= 1; (1 --x - 1) == 1", - "var x:= 1; (1-- x - 1) == 1", - "var x:= 1; (1--x - 1) == 1", - "var x:= 1; (1 -- -x - 1) == -1", - "var x:= 1; (1 + -x - 1) == -1", - "var x:= 1; (1 +-x - 1) == -1", - "var x:= 1; (1+- x - 1) == -1", - "var x:= 1; (1+-x - 1) == -1", - "var x:= 1; (1 +- -x - 1) == 1", - "var x:= 1; (1 + +x - 1) == 1", - "var x:= 1; (1 ++x - 1) == 1", - "var x := 1; var y := 2; 1", - "var x := 1; var y := 2; x", - "var x:=6; var y:=4; x + -3 == 3", - "var x:=6; var y:=4; x - -3 == 9", - "var x:=6; var y:=4; x * -3 == -18", - "var x:=6; var y:=4; x / -3 == -2", - "var x:=6; var y:=4; -x + -3 == -9", - "var x:=6; var y:=4; -x - -3 == -3", - "var x:=6; var y:=4; -x * -3 == 18", - "var x:=6; var y:=4; -x / -3 == 2", - "var x:=6; var y:=4; -3 + -x == -9", - "var x:=6; var y:=4; -3 - -x == 3", - "var x:=6; var y:=4; -3 * -x == 18", - "var x:=6; var y:=4; -3 / -x == 0.5", - "var x:=6; var y:=4; 3 + -x == -3", - "var x:=6; var y:=4; 3 - -x == 9", - "var x:=6; var y:=4; 3 * -x == -18", - "var x:=6; var y:=4; 3 / -x == -0.5", - "var x := 3; var y := 6; x + -y == -3", - "var x := 3; var y := 6; x - -y == 9", - "var x := 3; var y := 6; -x + -y == -9", - "var x := 3; var y := 6; -x - -y == 3", - "var x := 3; var y := 6; -x * -y == 18", - "var x := 6; var y := 3; -x / -y == 2", - "var x := 3; var y := 6; -(-x * -y) == -18", - "var x := 6; var y := 3; -(-x / -y) == -2", - "var x:=1; 2+(3+abs(x)) == 6 ", - "var x:=1; (3+abs(x))+2 == 6 ", - "var x:=1; 2+(abs(x)+3) == 6 ", - "var x:=1; (abs(x)+3)+2 == 6 ", - "var x:=1; 2+(3-abs(x)) == 4 ", - "var x:=1; (3-abs(x))+2 == 4 ", - "var x:=1; 2+(abs(x)-3) == 0 ", - "var x:=1; (abs(x)-3)+2 == 0 ", - "var x:=1; 2-(3+abs(x)) == -2 ", - "var x:=1; (3+abs(x))-2 == 2 ", - "var x:=1; 2-(abs(x)+3) == -2 ", - "var x:=1; (abs(x)+3)-2 == 2 ", - "var x:=1; 2*(3*abs(x)) == 6 ", - "var x:=1; (3*abs(x))*2 == 6 ", - "var x:=1; 2*(abs(x)*3) == 6 ", - "var x:=1; (abs(x)*3)*2 == 6 ", - "var x:=1; 2*(3/abs(x)) == 6 ", - "var x:=1; (3/abs(x))*2 == 6 ", - "var x:=1; 2*(abs(x)/3) == (2/3)", - "var x:=1; (abs(x)/3)*2 == (2/3)", - "var x:=1; 2/(3*abs(x)) == (2/3)", - "var x:=1; (3*abs(x))/2 == (3/2)", - "var x:=1; 2/(abs(x)*3) == (2/3)", - "var x:=1; (abs(x)*3)/2 == (3/2)", - "var x:=1; 2/(3/abs(x)) == (2/3)", - "var x:=1; (3/abs(x))/2 == (3/2)", - "var x:=1; 2/(abs(x)/3) == 6 ", - "var x:=1; (abs(x)/3)/2 == (1/6)", - "var x:=3; var y:=6; -(-x)*-(-y) == 18", - "var x:=3; var y:=6; -(-x)*-(-(-y)) == -18", - "var x:=3; var y:=6; -(-(-x))*-(-y) == -18", - "var x:=3; var y:=6; -(-(-x))*-(-(-y)) == 18", - "var x:=3; var y:=6; -(-(x+y))*-(-(y+x)) == 81", - "var x:=3; var y:=6; -(-(-(x+y)))*-(-(y+x)) == -81", - "var x:=3; var y:=6; -(-(x+y))*-(-(-(y+x))) == -81", - "var x:=3; var y:=6; -(-(-(x+y)))*-(-(-(y+x))) == 81", - "var x:= 2; var y := 3; (-abs(x)+-abs(y)) == -5 ", - "var x:= 2; var y := 3; (-abs(x)--abs(y)) == 1 ", - "var x:= 2; var y := 3; (-abs(x)*-abs(y)) == 6 ", - "var x:= 2; var y := 3; (-abs(x)/-abs(y)) == (2/3) ", - "var x:= 2; var y := 3; (-abs(x)+abs(y)) == 1 ", - "var x:= 2; var y := 3; (-abs(x)-abs(y)) == -5 ", - "var x:= 2; var y := 3; (-abs(x)*abs(y)) == -6 ", - "var x:= 2; var y := 3; (-abs(x)/abs(y)) == -(2/3) ", - "var x:= 2; var y := 3; (abs(x)+-abs(y)) == -1 ", - "var x:= 2; var y := 3; (abs(x)--abs(y)) == 5 ", - "var x:= 2; var y := 3; (abs(x)*-abs(y)) == -6 ", - "var x:= 2; var y := 3; (abs(x)/-abs(y)) == -(2/3) ", - "var x:= 2; var y := 3; (-abs(x + 0)+-abs(y - 0)) == -5 ", - "var x:= 2; var y := 3; (-abs(x + 0)--abs(y - 0)) == 1 ", - "var x:= 2; var y := 3; (-abs(x + 0)*-abs(y - 0)) == 6 ", - "var x:= 2; var y := 3; (-abs(x + 0)/-abs(y - 0)) == (2/3) ", - "var x:= 2; var y := 3; (-abs(x + 0)+abs(y - 0)) == 1 ", - "var x:= 2; var y := 3; (-abs(x + 0)-abs(y - 0)) == -5 ", - "var x:= 2; var y := 3; (-abs(x + 0)*abs(y - 0)) == -6 ", - "var x:= 2; var y := 3; (-abs(x + 0)/abs(y - 0)) == -(2/3) ", - "var x:= 2; var y := 3; (abs(x + 0)+-abs(y - 0)) == -1 ", - "var x:= 2; var y := 3; (abs(x + 0)--abs(y - 0)) == 5 ", - "var x:= 2; var y := 3; (abs(x + 0)*-abs(y - 0)) == -6 ", - "var x:= 2; var y := 3; (abs(x + 0)/-abs(y - 0)) == -(2/3) ", - "var x := 1; var y := 2; swap(x,y); (x == 2) and (y == 1)", - "var x := 1; var y := 2; x <=> y ; (x == 2) and (y == 1)", - "var x := 'abc'; x == 'abc' ", - "var x := 'abc'; var y := '123'; x != y ", - "var x := 'abc'; var y := x + '123'; y == 'abc123' ", - "var x := 'abc'; var y := '123' + x; y == '123abc' ", - "~{var x := '123'; x[]} + ~{var x := '1234'; x[]} == 7", - "~{var x := '123'; x[]} + ~{~{var x := '1234'; x[]}} == 7", - "~{~{var x := '123'; x[]}} + ~{var x := '1234'; x[]} == 7", - "~{var x := '123'; x[]} + ~{var x := 4} == 7", - "~{var x := 3} + ~{var x := '1234'; x[]} == 7", - "~{var x := '123'; x[]} + ~{~{var x := 4}} == 7", - "~{~{var x := 3}} + ~{var x := '1234'; x[]} == 7", - "var v[2] := {1,2}; swap(v[0],v[1]); (v[0] == 2) and (v[1] == 1)", - "var v[2] := {1,2}; v[0] <=> v[1] ; (v[0] == 2) and (v[1] == 1)", - "var x := 1; var y := 2; ~(swap(x,y),(x == 2) and (y == 1))", - "var x := 1; var y := 2; ~(x <=> y , (x == 2) and (y == 1))", - "var v[2] := {1,2}; ~(swap(v[0],v[1]), (v[0] == 2) and (v[1] == 1))", - "var v[2] := {1,2}; ~(v[0] <=> v[1] , (v[0] == 2) and (v[1] == 1))", - "var v[2] := {1,2}; swap(v[zero],v[one]); (v[zero] == 2) and (v[one] == 1)", - "var v[2] := {1,2}; v[zero] <=> v[one] ; (v[zero] == 2) and (v[one] == 1)", - "var v[2] := {1,2}; ~(swap(v[zero],v[one]), (v[zero] == 2) and (v[one] == 1))", - "var v[2] := {1,2}; ~(v[zero] <=> v[one] , (v[zero] == 2) and (v[one] == 1))", - "var v[2] := {1,2}; swap(v[2 * zero],v[(2 * one) / (1 + 1)]); (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1)", - "var v[2] := {1,2}; v[2 * zero] <=> v[(2*one)/(1+1)] ; (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1)", - "var v[2] := {1,2}; ~(swap(v[2 * zero],v[(2 * one) / (1 + 1)]), (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1))", - "var v[2] := {1,2}; ~(v[2 * zero] <=> v[(2 * one) / (1 + 1)] , (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1))", - "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[0]); swap(v[1],y); (x == 3) and (y == 4)", - "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[0]; v[1] <=> y; (x == 3) and (y == 4)", - "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[zero]); swap(v[one],y); (x == 3) and (y == 4)", - "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[zero]; v[one] <=> y; (x == 3) and (y == 4)", - "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[2 * zero]); swap(v[(2 * one) / (1 + 1)],y); (x == 3) and (y == 4)", - "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[zero / 3]; v[(2 * one)/(1 + 1)] <=> y; (x == 3) and (y == 4)", - "~{ var x := 1 } + ~{ var x := 2 } == 3", - "(~{ var x := 1 } + ~{ var x := 2 }) == (~{ var x := 2 } + ~{ var x := 1 })", - "(~{ var x := 1 } + ~{ var x := 2 } + ~{~{ var x := 1 } + ~{ var x := 2 }}) == 6", - "(~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }}) == 6", - "(~{ var x := [1] } + ~{ var x[1] := [2] } + ~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }}) == 6", - "(~{ var x[1] := [1] } + ~{ var x := [2] } + ~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }}) == 6", - "(~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{~{ var x := [1] } + ~{ var x[1] := [2] }}) == 6", - "(~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{~{ var x[1] := [1] } + ~{ var x := [2] }}) == 6", - "(~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] }) == 6", - "(~{~{ var x := [1] } + ~{ var x[1] := [2] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] }) == 6", - "(~{~{ var x[1] := [1] } + ~{ var x := [2] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] }) == 6", - "(~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }} + ~{ var x := [1] } + ~{ var x[1] := [2] }) == 6", - "(~{~{ var x[1] := [1] } + ~{ var x[1] := [2] }} + ~{ var x[1] := [1] } + ~{ var x := [2] }) == 6", - "(~{~{ var x[1] := [1] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{{ var x[1] := [2] }}) == 6", - "(~{~{ var x := [1] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{{ var x[1] := [2] }}) == 6", - "(~{~{ var x[1] := [1] }} + ~{ var x := [1] } + ~{ var x[1] := [2] } + ~{{ var x[1] := [2] }}) == 6", - "(~{~{ var x[1] := [1] }} + ~{ var x[1] := [1] } + ~{ var x := [2] } + ~{{ var x[1] := [2] }}) == 6", - "(~{~{ var x[1] := [1] }} + ~{ var x[1] := [1] } + ~{ var x[1] := [2] } + ~{{ var x := [2] }}) == 6", - "(~{~{~{var x[1] := [1]}}} + ~{~{var x[1] := [2]}} + ~{var x[1] := [3]}) == 6", - "(~{var x[1] := [1]} + ~{~{var x[1] := [2]}} + ~{~{~{var x[1] := [3]}}}) == 6", - "(~{ var x[3] := [1] } + ~{ var x[6] := {6,5,4,3,2,1}}) == 7", - "(~{ var x[6] := {6,5,4,3,2,1} } + ~{ var x := 1 }) == 7", - "(~{ var x := 1 } + ~{ var x[6] := {6,5,4,3,2,1} }) == 7", - "var x[3] := {}; (x[0] == 0) and (x[1] == 0) and (x[2] == 0)", - "var x[3] := {1,2}; (x[0] == 1) and (x[1] == 2) and (x[2] == 0)", - "var x[3] := {1,2,3}; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", - "var x[3] := [1]; (x[0] == 1) and (x[1] == 1) and (x[2] == 1)", - "var v[3] := [1]; v += 1; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 2)", - "var v[3] := [1]; v -= 1; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 0)", - "var v[3] := [1]; v *= 2; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 2)", - "var v[3] := [3]; v /= 3; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 1)", - "var v[3] := {1,2, 3}; v += 1; (v[0] == 2) and (v[1] == 3) and (v[2] == 4)", - "var v[3] := {1,2, 3}; v -= 1; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)", - "var v[3] := {1,2, 3}; v *= 2; (v[0] == 2) and (v[1] == 4) and (v[2] == 6)", - "var v[3] := {3,9,15}; v /= 3; (v[0] == 1) and (v[1] == 3) and (v[2] == 5)", - "var v0[3] := [1]; var v1[3] := [1]; v0 += v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 2)", - "var v0[3] := [1]; var v1[3] := [1]; v0 -= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 0)", - "var v0[3] := [1]; var v1[3] := [2]; v0 *= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 2)", - "var v0[3] := [3]; var v1[3] := [3]; v0 /= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 1)", - "var v0[3] := {1,2, 3}; var v1[3] := {1,1,1}; v0 += v1; (v0[0] == 2) and (v0[1] == 3) and (v0[2] == 4)", - "var v0[3] := {1,2, 3}; var v1[3] := {1,1,1}; v0 -= v1; (v0[0] == 0) and (v0[1] == 1) and (v0[2] == 2)", - "var v0[3] := {1,2, 3}; var v1[3] := {2,2,2}; v0 *= v1; (v0[0] == 2) and (v0[1] == 4) and (v0[2] == 6)", - "var v0[3] := {3,9,15}; var v1[3] := {3,3,3}; v0 /= v1; (v0[0] == 1) and (v0[1] == 3) and (v0[2] == 5)", - "var x[3] := {}; var y[4] := {1,2,3,4}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[3] := {1,2,3}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[2] := {1,2}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", - "var x[3] := {}; var y[1] := {1}; x := y; (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", - "var x[3] := {}; var y[4] := {1,2,3,4}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[3] := {1,2,3}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[2] := {1,2}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", - "var x[3] := {}; var y[1] := {1}; x := (y+=1); (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", - "var x[3] := {}; var y[4] := {1,2,3,4}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[3] := {1,2,3}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", - "var x[3] := {}; var y[2] := {1,2}; x += (y+=1); (x[0] == y[0]) ", - "var x[3] := {}; var y[2] := {1,2}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) ", - "var x[3] := {}; var y[2] := {1,2}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", - "var x[3] := {}; var y[1] := {1}; x += (y+=1); (x[0] == y[0]) ", - "var x[3] := {}; var y[1] := {1}; x += (y+=1); (x[0] == y[0]) and (x[1] == 0) ", - "var x[3] := {}; var y[1] := {1}; x += (y+=1); (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", - "var x[3] := [9]; var y[4] := {1,2,3,4}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", - "var x[3] := [9]; var y[3] := {1,2,3}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", - "var x[3] := [9]; var y[2] := {1,2}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 9)", - "var x[3] := [9]; var y[1] := {1}; x <=> y; (x[0] == 1) and (x[1] == 9) and (x[2] == 9)", - "var x[3] := [9]; var y[4] := {1,2,3,4}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", - "var x[3] := [9]; var y[3] := {1,2,3}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", - "var x[3] := [9]; var y[2] := {1,2}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 9)", - "var x[3] := [9]; var y[1] := {1}; x <=> (y += 1); (x[0] == 2) and (x[1] == 9) and (x[2] == 9)", - "var x[3] := [8]; var y[4] := {1,2,3,4}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", - "var x[3] := [8]; var y[3] := {1,2,3}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", - "var x[3] := [8]; var y[2] := {1,2}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 9)", - "var x[3] := [8]; var y[1] := {1}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 9) and (x[2] == 9)", - "var x[3] := [8]; var y[4] := {1,2,3,4}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", - "var x[3] := [8]; var y[3] := {1,2,3}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", - "var x[3] := [8]; var y[2] := {1,2}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 9)", - "var x[3] := [8]; var y[1] := {1}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 9) and (x[2] == 9)", - "var x[3] := [0]; var y[4] := {1,2,3,4}; X < y", - "var x[3] := [0]; var y[3] := {1,2,3}; x < Y", - "var x[3] := [0]; var y[2] := {1,2}; X < y", - "var x[3] := [0]; var y[1] := {1}; x < Y", - "var x[3] := [0]; var y[4] := {1,2,3,4}; x <= y", - "var x[3] := [0]; var y[3] := {1,2,3}; x <= y", - "var x[3] := [0]; var y[2] := {1,2}; x <= y", - "var x[3] := [0]; var y[1] := {1}; x <= y", - "var x[3] := [5]; var y[4] := {1,2,3,4}; x > y", - "var x[3] := [5]; var y[3] := {1,2,3}; x > y", - "var x[3] := [5]; var y[2] := {1,2}; x > y", - "var x[3] := [5]; var y[1] := {1}; x > y", - "var x[3] := [5]; var y[4] := {1,2,3,4}; x >= y", - "var x[3] := [5]; var y[3] := {1,2,3}; x >= y", - "var x[3] := [5]; var y[2] := {1,2}; x >= y", - "var x[3] := [5]; var y[1] := {1}; x >= y", - "var x[3] := [1]; var y[4] := [1]; x == y", - "var x[3] := [1]; var y[3] := [1]; x == y", - "var x[3] := [1]; var y[2] := [1]; x == y", - "var x[3] := [1]; var y[1] := [1]; x == y", - "var x[3] := [1]; var y[4] := [2]; x != y", - "var x[3] := [1]; var y[3] := [2]; x != y", - "var x[3] := [1]; var y[2] := [2]; x != y", - "var x[3] := [1]; var y[1] := [2]; x != y", - "var x[3] := [0]; var y[4] := {5,6,7,8}; (x += 1) < y", - "var x[3] := [0]; var y[3] := {5,6,7}; (x += 1) < y", - "var x[3] := [0]; var y[2] := {5,6}; (x += 1) < y", - "var x[3] := [0]; var y[1] := {5}; (x += 1) < y", - "var x[3] := [0]; var y[4] := {1,2,3,4}; x < (y += 1)", - "var x[3] := [0]; var y[3] := {1,2,3}; x < (y += 1)", - "var x[3] := [0]; var y[2] := {1,2}; x < (y += 1)", - "var x[3] := [0]; var y[1] := {1}; x < (y += 1)", - "var x[3] := [0]; var y[4] := {5,6,7,8}; (x += 1) < (y += 1)", - "var x[3] := [0]; var y[3] := {5,6,7}; (x += 1) < (y += 1)", - "var x[3] := [0]; var y[2] := {5,6}; (x += 1) < (y += 1)", - "var x[3] := [0]; var y[1] := {5}; (x += 1) < (y += 1)", - "var x[3] := {1,2,3}; var y := 5; x < y ", - "var x[3] := {1,2,3}; var y := 3; x < y + 1 ", - "var x[3] := {1,2,3}; var y := 5; x <= y ", - "var x[3] := {1,2,3}; var y := 3; x <= y + 1", - "var x[3] := {1,1,1}; var y := 1; x == y ", - "var x[3] := {1,1,1}; var y := 2; x == y - 1", - "var x[3] := {1,2,3}; var y := 5; y > x ", - "var x[3] := {1,2,3}; var y := 3; y >= x ", - "var x[3] := {1,2,3}; var y := 5; y + 1 > x ", - "var x[3] := {1,1,1}; var y := 1; y == x ", - "var x[3] := {1,1,1}; var y := 2; y - 1 == x", - "var x[3] := {1,2,3}; var y := 5; equal(true,(x += 1) < y) ", - "var x[3] := {1,2,3}; var y := 3; equal(true,(x -= 1) < y + 1)", - "var x[3] := {1,2,3}; var y := 5; equal(true,(x -= 1) <= y) ", - "var x[3] := {2,2,2}; var y := 1; (x -= 1) == y ", - "var x[3] := {1,2,3}; var y := 5; y > (x += 1) ", - "var x[3] := {1,2,3}; var y := 5; y + 1 > (x += 1) ", - "var x[3] := {2,2,2}; var y := 1; y == (x -= 1) ", - "var x[3] := {2,2,2}; var y := 0; y + 1 == (x -= 1)", - "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := (x + y); z == (x + y)", - "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := (x - y); z == (x - y)", - "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := (x / y); z == (x / y)", - "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := (x * y); z == (x * y)", - "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := 2(x + y); z == (x + y)2", - "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := 2(x - y); z == (x - y)2", - "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := 2(x / y); z == (x / y)2", - "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := 2(x * y); z == (x * y)2", - "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := 2(x + y)/3; z == 2(x + y)/3", - "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := 2(x - y)/3; z == 2(x - y)/3", - "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := 2(x / y)/3; z == 2(x / y)/3", - "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := 2(x * y)/3; z == 2(x * y)/3", - "var x[6] := {1,2,3,4,5,6}; equal(sqrt(sum([x - avg(x)]^2) / x[]),1.70782512765993300)", - "var x[3] := {-1,-2,-3}; sum(abs(x) ) == 6", - "var x[3] := {0.1,0.2,0.3}; sum(trunc(x)) == 0", - - "var x[10^6]:=[2];var y[10^6]:=[3]; var s:=0;equal(for(var i:=0; i<10;i+=1){s+= sum(5 *(2x-y/3)) + i;},150000045.0)", - - "var x := 2; (~{ for (var i := 0; i < 10; i += 1) { for (var j := 0; j <= i; " - "j += 1) { var y := 3; if ((i + j + y + x) < 6) { y += x; continue; } else " - "break[i + j]; } } } + ~{ for (var i := 0; i < 10; i += 1) { for (var j := 0; " - "j <= i; j += 1) { var y := 3; if ((i + j + y + x) < 6) { y += x; continue; } " - " else break[i + j]; } } }) == 18 ", - - "var x := 2; var v0[3] := {1,2,3}; ( ~{ for (var i := 0; i < 10; i += 1) { " - "for (var j := 0; j <= i; j += 1) { var y := 3; var v2[3] := {1,2,3}; if ( " - "(i + j + y + x + abs(v0[i % v0[]] - v2[j % v2[]])) < 6) { var v3[3] := " - "{1,2,3}; y += x / v3[j % v3[]]; continue; } else break[i + j]; } } } " - "+ ~{ for (var i := 0; i < 10; i += 1) { for (var j := 0; j <= i; j += 1) " - " { var y := 3; var v2[3] := {1,2,3}; if ((i + j + y + x + abs(v0[i % v0[]] - " - "v2[j % v2[]])) < 6) { var v3[3] := {1,2,3}; y += x / v3[j % v3[]]; " - "continue; } else break[i + j]; } } } ) == 18 ", - - "12 == (if (1 > 2) { var x:= 2; } else { var x[3] := {7,2,3}; sum(x); })", - "12 == (if (1 < 2) { var x[3] := {7,2,3}; sum(x); } else { var x:= 2; })", - "12 == (if (1 > 2) { var x:= 2; } else { var x[3] := {7,2,3}; sum(x); })", - "12 == (if (1 < 2) { var x[3] := {7,2,3}; sum(x); } else { var x:= 2; })", - - "21 == (for (var i := 0; i < 10; i += 1) { if (i > 2) { break [i * 7]; i += 1;" - "i += 2; i += 3; }; })", - - "21 == (for (var i := 0; i < 10; i += 1) { if (i > 2) { break [i * 7]; return " - "[i * 8]; i += 1; i += 2; i += 3; }; })", - - "2 == for (var i := 0; i < 10; i += 1) { if (i > 2) { continue; i += 1; i += 2;" - "i += 3; } else i; }", - - "2 == for (var i := 0; i < 10; i += 1) { if (i > 2) { continue; return [i * 8];" - "i += 1; i += 2; i += 3; } else i; }", - - "var x[10] := [-1]; var y[10] := [-1]; for (var i := 0; i < 10; i += 1) { x[i] := i; " - "y[i] := 2 * x[i]; }; (sum(x) == 45) and (sum(y) == (2 * sum(x)));" - - "7 == (for (var i := 0; i < 10; i += 1) { ~{break[7]; continue; i += i} })", - "0 == (for (var i := 0; i < 10; i += 1) { ~{break[i]; continue; i += i} })", - "0 == (for (var i := 0; i < 10; i += 1) { ~{continue; break[7]; i += i} })", - "1 == (for (var i := 0; i < 10; i += 1) { ~{break[i += 1]; continue; i += i} })", - - "var s := 'abc'; s == ~{'abc' } ", - "var s := 'abc'; s == ~{s } ", - "var s := 'abc'; s == ~{'ab' + 'c'} ", - "var s := 'abc'; ~{'abc' } == s ", - "var s := 'abc'; ~{s } == s ", - "var s := 'abc'; ~{'ab' + 'c'} == s ", - "var s := 'abc'; ~{1 + 2; 'abc' + s; s} == s ", - "var s := 'abc'; ~{1 + 2; var x := 'ab'; x + 'c'} == s ", - - "var x[10^6] := null; var y[10^7] := null; 0 * (min(x) + min(y)) + x[] + y[] == 10^7 + 10^6", - - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 < 2, v0, v1) == v0", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 > 2, v0, v1) == v1", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; if (x < y, v0, v1) == v0", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; if (x > y, v0, v1) == v1", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; if (x < y, v0 - v1, v1 - v0) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; if (x > y, v0 - v1, v1 - v0) == (v1 - v0)", - - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 < 2, v0, v1) == v0", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 > 2, v0, v1) == v1", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 < 2, v0 - v1, v1 - v0) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; if (1 > 2, v0 - v1, v1 - v0) == (v1 - v0)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; if (x < y, v0, v1) == v0", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; if (x > y, v0, v1) == v1", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; if (x < y, v0 - v1, v1 - v0) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; if (x > y, v0 - v1, v1 - v0) == (v1 - v0)", - - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 < 2) v0; else v1;) == v0", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 > 2) v0; else v1;) == v1", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; (if (x < y) v0; else v1;) == v0", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; (if (x > y) v0; else v1;) == v1", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; (if (x < y) v0 - v1; else v1 - v0;) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[3] := {7,8,9}; var x := 1; var y := 2; (if (x > y) v0 - v1; else v1 - v0;) == (v1 - v0)", - - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 < 2) v0; else v1;) == v0", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 > 2) v0; else v1;) == v1", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 < 2) v0 - v1; else v1 - v0;) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; (if (1 > 2) v0 - v1; else v1 - v0;) == (v1 - v0)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; (if (x < y) v0; else v1;) == v0", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; (if (x > y) v0; else v1;) == v1", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; (if (x < y) v0 - v1; else v1 - v0;) == (v0 - v1)", - "var v0[3] := {1,2,3}; var v1[4] := {6,7,8,9}; var x := 1; var y := 2; (if (x > y) v0 - v1; else v1 - v0;) == (v1 - v0)", - - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((-x * -y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((-x + -y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((-x - -y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((-x / -y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) + (1.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) - (1.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) + (y * 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) - (y * 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) * (y / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / (y / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / y); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) * 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) / 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) * (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) * (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) / (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) / (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) / (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 * x) / (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) + 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) - 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) + (2.123 + y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) + (y + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) - (2.123 + y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 + x) - (y + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 - x) + 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 - x) - 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 - x) - (2.123 - y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 - x) - (y - 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) * 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) * (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) * (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123 / x) / (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) * (2.123 * x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) * (2.123 / x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) * (x * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) * (x / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) + (2.123 + x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) + (2.123 - x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) + (x + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) + (x - 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) - (2.123 + x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) - (2.123 - x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) - (x + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) - (x - 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) / (2.123 * x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) / (2.123 / x)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) / (x * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((1.123) / (x / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) * 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) / 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) + 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) - 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x - 1.123) + 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x - 1.123) - 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x ^ 1.123) ^ 2.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) + (1.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) - (1.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) + (y * 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) - (y * 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) * (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) * (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) / (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) / (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) / (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * 1.123) / (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x * y) / (z / w)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) + (2.123 + y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) + (y + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) - (2.123 + y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + 1.123) - (y + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x + y) / (z / w)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x - 1.123) - (2.123 - y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x - 1.123) - (y - 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x - y) / (z / w)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * (y / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) + (y / 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) - (y / 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / (y / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / y); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * (y + 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * (y - 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) * (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / (2.123 * y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / (2.123 / y)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / (y * 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / 1.123) / (y / 2.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) * (1.123 / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) * (z / 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) * (z / w)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) / (1.123 / z)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) / (z / 1.123)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) / (z / w)); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) / 1.123); true;", - "var x := 1.111; var y := 2.222; var z := 3.333; var w := 4.444; ((x / y) / z); true;", - }; - - const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - static const std::size_t rounds = 20; - - exprtk::symbol_table symbol_table; - - T zero = T(0); - T one = T(1); - - symbol_table.add_variable("zero",zero); - symbol_table.add_variable("one" , one); - symbol_table.add_pi(); - - bool failed = false; - - for (std::size_t r = 0; r < rounds; ++r) - { - for (std::size_t i = 0; i < expression_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - { - exprtk::parser parser; - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test10() - swaps[1] Error: %s Expression: %s\n", - parser.error().c_str(), - expression_list[i].c_str()); - - failed = true; - continue; - } - } - - const T result = expression.value(); - - if (T(1) != result) - { - printf("run_test10() - swaps[1] evaluation error Expression: %s\n", - expression_list[i].c_str()); - - failed = true; - } - - expression.release(); - } - - if (failed) - { - return false; - } - } - - // reuse parser - for (std::size_t r = 0; r < rounds; ++r) - { - exprtk::parser parser; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test10() - swaps[2] Error: %s Expression: %s\n", - parser.error().c_str(), - expression_list[i].c_str()); - - failed = true; - continue; - } - - const T result = expression.value(); - - if (T(1) != result) - { - printf("run_test10() - swaps[2] evaluation error Expression: %s\n", - expression_list[i].c_str()); - - failed = true; - } - } - - if (failed) - { - return false; - } - } - } - - return true; -} - -template -bool run_test11() -{ - typedef exprtk::expression expression_t; - - std::string expression_string = "(x + y) / 3"; - - T x = T(1.0); - T y = T(2.0); - - exprtk::symbol_table symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - static const std::size_t rounds = 500; - - for (std::size_t i = 0; i < rounds; ++i) - { - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test11() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - if (not_equal(expression.value(),(x + y) / T(3),T(0.000001))) - { - printf("run_test11() - Error in evaluation!(1)\n"); - return false; - } - - expression.release(); - - if (false == (!expression)) - { - printf("run_test11() - Error in evaluation!(2)\n"); - return false; - } - - { - exprtk::parser parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test11() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - } - - expression.value(); - - if (not_equal(expression.value(),(x + y) / T(3),T(0.000001))) - { - printf("run_test11() - Error in evaluation!(3)\n"); - return false; - } - } - - return true; -} - -template -bool run_test12() -{ - typedef exprtk::expression expression_t; - - static const std::string expression_string[] = - { - "equal(poly01(x,2.2,1.1),(2.2x^1+1.1))", - "equal(poly02(x,3.3,2.2,1.1),(3.3x^2+2.2x^1+1.1))", - "equal(poly03(x,4.4,3.3,2.2,1.1),(4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly04(x,5.5,4.4,3.3,2.2,1.1),(5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly05(x,6.6,5.5,4.4,3.3,2.2,1.1),(6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly06(x,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly07(x,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly08(x,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly09(x,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly10(x,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly11(x,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equal(poly12(x,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4x^12+3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "EquaL(Poly01(x,2.2,1.1),(2.2x^1+1.1))", - "eQuAl(pOly02(x,3.3,2.2,1.1),(3.3x^2+2.2x^1+1.1))", - "eqUal(poLy03(x,4.4,3.3,2.2,1.1),(4.4x^3+3.3x^2+2.2x^1+1.1))", - "eQuAl(polY04(x,5.5,4.4,3.3,2.2,1.1),(5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "EquAl(pOLy05(x,6.6,5.5,4.4,3.3,2.2,1.1),(6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "EqUaL(pOly06(x,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "Equal(Poly07(x,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "eQual(PoLy08(x,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "eqUal(pOlY09(x,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equAl(POLY10(x,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "equaL(PolY11(x,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", - "EQUAL(pOLy12(x,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4x^12+3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))" - }; - - static const std::size_t expression_string_size = sizeof(expression_string) / sizeof(std::string); - - T x = T(1.23456); - - exprtk::polynomial poly01; - exprtk::polynomial poly02; - exprtk::polynomial poly03; - exprtk::polynomial poly04; - exprtk::polynomial poly05; - exprtk::polynomial poly06; - exprtk::polynomial poly07; - exprtk::polynomial poly08; - exprtk::polynomial poly09; - exprtk::polynomial poly10; - exprtk::polynomial poly11; - exprtk::polynomial poly12; - - exprtk::symbol_table symbol_table; - - symbol_table.add_variable("x",x); - symbol_table.add_function("poly01", poly01); - symbol_table.add_function("poly02", poly02); - symbol_table.add_function("poly03", poly03); - symbol_table.add_function("poly04", poly04); - symbol_table.add_function("poly05", poly05); - symbol_table.add_function("poly06", poly06); - symbol_table.add_function("poly07", poly07); - symbol_table.add_function("poly08", poly08); - symbol_table.add_function("poly09", poly09); - symbol_table.add_function("poly10", poly10); - symbol_table.add_function("poly11", poly11); - symbol_table.add_function("poly12", poly12); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - static const std::size_t rounds = 500; - - for (std::size_t i = 0; i < rounds; ++i) - { - for (std::size_t j = 0; j < expression_string_size; ++j) - { - const std::string& expr_str = expression_string[j]; - - { - exprtk::parser parser; - - if (!parser.compile(expr_str,expression)) - { - printf("run_test12() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str.c_str()); - - return false; - } - } - - if (T(1) != expression.value()) - { - printf("run_test12() - Error in evaluation! Expression: %s\n",expr_str.c_str()); - return false; - } - } - } - - return true; -} - -template -struct sine_deg exprtk_test_final : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - sine_deg() : exprtk::ifunction(1) {} - - inline T operator()(const T& v) exprtk_test_override - { - return std::sin((v * T(exprtk::details::numeric::constant::pi)) / T(180)); - } -}; - -template -struct cosine_deg exprtk_test_final : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - cosine_deg() : exprtk::ifunction(1) {} - - inline T operator()(const T& v) exprtk_test_override - { - return std::cos((v * T(exprtk::details::numeric::constant::pi)) / T(180)); - } -}; - -template -bool run_test13() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - static const std::string expression_string[] = - { - "equal(sin(30),0.5) ", - "equal(cos(60),0.5) ", - "equal(sin(60),sqrt(3)/2) ", - "equal(cos(30),sqrt(3)/2) ", - "equal(sin(x_deg),0.5) ", - "equal(cos(y_deg),0.5) ", - "equal(sin(y_deg),sqrt(3)/2) ", - "equal(cos(x_deg),sqrt(3)/2) ", - "equal(sin(30) + sin(30),1.0) ", - "equal(cos(60) + cos(60),1.0) ", - "equal(sin(60) + sin(60),sqrt(3)) ", - "equal(cos(30) + cos(30),sqrt(3)) ", - "equal(sin(x_deg) + sin(x_deg),1.0) ", - "equal(cos(y_deg) + cos(y_deg),1.0) ", - "equal(sin(y_deg) + sin(y_deg),sqrt(3))", - "equal(cos(x_deg) + cos(x_deg),sqrt(3))" - }; - - static const std::size_t expression_string_size = sizeof(expression_string) / sizeof(std::string); - - { - T x_deg = T(30); - T y_deg = T(60); - - sine_deg sine; - cosine_deg cosine; - - symbol_table_t symbol_table_0; - symbol_table_t symbol_table_1; - - symbol_table_0.add_variable("x_deg",x_deg); - symbol_table_1.add_variable("y_deg",y_deg); - - symbol_table_0.add_function( "sine_deg", sine); - symbol_table_1.add_function("cosine_deg", cosine); - - expression_t expression; - - expression.register_symbol_table(symbol_table_0); - expression.register_symbol_table(symbol_table_1); - - static const std::size_t rounds = 100; - - for (std::size_t i = 0; i < rounds; ++i) - { - for (std::size_t j = 0; j < expression_string_size; ++j) - { - const std::string& expr_str = expression_string[j]; - - { - parser_t parser; - - parser.replace_symbol("sin", "sine_deg"); - parser.replace_symbol("cos", "cosine_deg"); - - if (!parser.compile(expr_str,expression)) - { - printf("run_test13() - Error: %s Expression: %s [1]\n", - parser.error().c_str(), - expr_str.c_str()); - - return false; - } - } - - if (T(1) != expression.value()) - { - printf("run_test13() - Error in evaluation! Expression: %s [1]\n",expr_str.c_str()); - return false; - } - } - } - } - - { - T x_deg = T(30); - T y_deg = T(60); - - sine_deg sine; - cosine_deg cosine; - - symbol_table_t symbol_table_0; - symbol_table_t symbol_table_1; - - symbol_table_0.add_variable("x_deg",x_deg); - symbol_table_1.add_variable("y_deg",y_deg); - - symbol_table_0.add_reserved_function("sin", sine); - symbol_table_1.add_reserved_function("cos",cosine); - - expression_t expression; - - expression.register_symbol_table(symbol_table_0); - expression.register_symbol_table(symbol_table_1); - - static const std::size_t rounds = 100; - - for (std::size_t i = 0; i < rounds; ++i) - { - for (std::size_t j = 0; j < expression_string_size; ++j) - { - const std::string& expr_str = expression_string[j]; - - { - typedef typename parser_t::settings_store settings_t; - - parser_t parser; - - parser.settings() - .disable_base_function(settings_t::e_bf_sin) - .disable_base_function(settings_t::e_bf_cos); - - if (!parser.compile(expr_str,expression)) - { - printf("run_test13() - Error: %s Expression: %s [2]\n", - parser.error().c_str(), - expr_str.c_str()); - - return false; - } - } - - if (T(1) != expression.value()) - { - printf("run_test13() - Error in evaluation! Expression: %s [2]\n",expr_str.c_str()); - return false; - } - } - } - } - - return true; -} - -template class Sequence> -inline std::size_t load_expressions(const std::string& file_name, - Sequence& sequence) -{ - std::ifstream stream(file_name.c_str()); - - if (!stream) return 0; - - std::string buffer; - buffer.reserve(1024); - - std::size_t line_count = 0; - - while (std::getline(stream,(buffer))) - { - if (buffer.empty()) - continue; - else if ('#' == buffer[0]) - continue; - - ++line_count; - sequence.push_back(buffer); - } - - return line_count; -} - -template -bool run_test14() -{ - typedef exprtk::expression expression_t; - - T x = T(0); - T y = T(0); - T z = T(0); - T w = T(0); - - exprtk::polynomial poly01; - exprtk::polynomial poly02; - exprtk::polynomial poly03; - exprtk::polynomial poly04; - exprtk::polynomial poly05; - exprtk::polynomial poly06; - exprtk::polynomial poly07; - exprtk::polynomial poly08; - exprtk::polynomial poly09; - exprtk::polynomial poly10; - exprtk::polynomial poly11; - exprtk::polynomial poly12; - - exprtk::rtl::vecops::package vector_package; - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - symbol_table.add_function("poly01", poly01); - symbol_table.add_function("poly02", poly02); - symbol_table.add_function("poly03", poly03); - symbol_table.add_function("poly04", poly04); - symbol_table.add_function("poly05", poly05); - symbol_table.add_function("poly06", poly06); - symbol_table.add_function("poly07", poly07); - symbol_table.add_function("poly08", poly08); - symbol_table.add_function("poly09", poly09); - symbol_table.add_function("poly10", poly10); - symbol_table.add_function("poly11", poly11); - symbol_table.add_function("poly12", poly12); - - symbol_table.add_package(vector_package); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - std::deque expr_str_list; - - load_expressions("exprtk_functional_test.txt" , expr_str_list); - load_expressions("exprtk_functional_ext_test.txt" , expr_str_list); - - if (expr_str_list.empty()) - { - return true; - } - - std::deque > expression_list; - bool error_found = false; - - static const std::size_t rounds = 5; - - for (std::size_t r = 0; r < rounds; ++r) - { - for (std::size_t i = 0; i < expr_str_list.size(); ++i) - { - exprtk::expression current_expression; - - current_expression.register_symbol_table(symbol_table); - - if (!parser.compile(expr_str_list[i],current_expression)) - { - printf("run_test14() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - error_found = true; - } - else - expression_list.push_back(current_expression); - } - - if (error_found) - { - break; - } - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - const T result = expression_list[i].value(); - - if (result != T(1)) - { - error_found = true; - - printf("run_test14() - Error with evaluation of expression: %s\n", - expr_str_list[i].c_str()); - } - } - - expression_list.clear(); - - if (error_found) - { - break; - } - } - - return !error_found; -} - -template -bool run_test15() -{ - typedef exprtk::expression expression_t; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - - static const std::string expr_str_list[] = - { - "2 - (x + y) / z//Comment 01 ", - "2 - (x + y) / z#Comment 02 ", - "2 - (x + y) / z //Comment 03 ", - "2 - (x + y) / z #Comment 04 ", - "2 - (x + y) / z//Comment 05 \n", - "2 - (x + y) / z#Comment 06 \n", - "2 - (x + y) / z //Comment 07\n", - "2 - (x + y) / z #Comment 08 \n", - "/* Comment 09*/2 - (x + y) / z", - "/* Comment 10*/2 - (x + y) / z\n", - "/* Comment 11*/2 - (x + y) / z/* Comment 12*/", - "/* Comment 13*/2 - (x + y) / z/* Comment 14*/\n", - "2 - /* Comment 15 */(x + y) / z", - "2 - /* Comment 16 */(x + y) /* Comment 17 *// z \n", - "2 - /* Comment 18 */(x + y) /* Comment 19 */ / z //Comment 20\n", - "2 - /* Comment 21 */(x + y) /* Comment 22 */ / z #Comment 23\n", - "2 - /* Comment 24 */(x + y) /* Comment 25 */ / z //Comment 26", - "2 - /* Comment 27 */(x + y) /* Comment 28 */ / z #Comment 29" - }; - static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - std::deque expression_list; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(expr_str_list[i],expression)) - { - printf("run_test15() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - expression_t base_expression; - const std::string base_expr_str = "2 - (x + y) / z"; - - { - base_expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(base_expr_str,base_expression)) - { - printf("run_test15() - Error: %s Expression: %s\n", - parser.error().c_str(), - base_expr_str.c_str()); - - return false; - } - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - T base_result = base_expression.value(); - T result = expression_list[i].value(); - - if (not_equal(base_result,result)) - { - printf("run_test15() - Error in evaluation! (1) Base: %20.10f\tResult: %20.10f\tExpression: %s\n", - static_cast(base_result), - static_cast(result), - expr_str_list[i].c_str()); - - error_found = true; - } - } - - return !error_found; -} - -template -struct base_func : public exprtk::ifunction -{ - using exprtk::ifunction::operator(); - - typedef const T& type; - base_func(const std::size_t& n) : exprtk::ifunction(n) {} - inline T operator()(type v0, type v1, type v2, type v3, type v4) exprtk_test_override { return (v0 + v1 + v2 + v3 + v4); } - inline T operator()(type v0, type v1, type v2, type v3) exprtk_test_override { return (v0 + v1 + v2 + v3); } - inline T operator()(type v0, type v1, type v2) exprtk_test_override { return (v0 + v1 + v2); } - inline T operator()(type v0, type v1) exprtk_test_override { return (v0 + v1); } - inline T operator()(type v0) exprtk_test_override { return v0; } - inline T operator()() exprtk_test_override { return T(1.1234); } -}; - -template struct test_func5 exprtk_test_final : public base_func { test_func5() : base_func(5){} }; -template struct test_func4 exprtk_test_final : public base_func { test_func4() : base_func(4){} }; -template struct test_func3 exprtk_test_final : public base_func { test_func3() : base_func(3){} }; -template struct test_func2 exprtk_test_final : public base_func { test_func2() : base_func(2){} }; -template struct test_func1 exprtk_test_final : public base_func { test_func1() : base_func(1){} }; -template struct test_func0 exprtk_test_final : public base_func { test_func0() : base_func(0){} }; - -template -bool run_test16() -{ - typedef exprtk::expression expression_t; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - T w = T(4.4); - T u = T(5.5); - - test_func0 test_func00; - test_func1 test_func01; - test_func2 test_func02; - test_func3 test_func03; - test_func4 test_func04; - test_func5 test_func05; - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - symbol_table.add_variable("u",u); - - symbol_table.add_function("test_func0",test_func00); - symbol_table.add_function("test_func1",test_func01); - symbol_table.add_function("test_func2",test_func02); - symbol_table.add_function("test_func3",test_func03); - symbol_table.add_function("test_func4",test_func04); - symbol_table.add_function("test_func5",test_func05); - - static const std::string expr_str_list[] = - { - "test_func0 = test_func0()", - "test_func0 == test_func0()", - "equal(1.1 + test_func0,test_func0() + 1.1)", - "equal(test_func0 + 1.1,1.1 + test_func0())", - "equal((1.1 + test_func0),(test_func0() + 1.1))", - "equal((test_func0 + 1.1),(1.1 + test_func0()))", - "equal(test_func0,test_func0())", - "equal(test_func0,1.1234)", - "equal(test_func0(),1.1234)", - "equal(test_func0 + test_func0(),2 * 1.1234)", - "equal((test_func0 + test_func0()),2 * 1.1234)", - "equal((test_func0) + (test_func0()),2 * 1.1234)", - "equal(test_func1(x),(x))", - "equal(test_func2(x,y),(x + y))", - "equal(test_func3(x,y,z),(x + y + z))", - "equal(test_func4(x,y,z,w),(x + y + z + w))", - "equal(test_func5(x,y,z,w,u),(x + y + z + w + u))", - "equal(1.1 + test_func0,1.1234 + 1.1)", - "equal(1.1 + test_func0(),1.1234 + 1.1)", - "equal(1.1 + test_func1(x),(x + 1.1))", - "equal(1.1 + test_func2(x,y),(x + y + 1.1))", - "equal(1.1 + test_func3(x,y,z),(x + y + z + 1.1))", - "equal(1.1 + test_func4(x,y,z,w),(x + y + z + w + 1.1))", - "equal(1.1 + test_func5(x,y,z,w,u),(x + y + z + w + u + 1.1))", - "equal(test_func0 + 2.2,1.1234 + 2.2)", - "equal(test_func0() + 2.2,1.1234 + 2.2)", - "equal(test_func1(x) + 2.2,(x + 2.2))", - "equal(test_func2(x,y) + 2.2,(x + y + 2.2))", - "equal(test_func3(x,y,z) + 2.2,(x + y + z + 2.2))", - "equal(test_func4(x,y,z,w) + 2.2,(x + y + z + w + 2.2))", - "equal(test_func5(x,y,z,w,u) + 2.2,(x + y + z + w + u + 2.2))", - "equal({[test_func1(x)]},{[(x)]})", - "equal({[test_func2(x,y)]},{[(x + y)]})", - "equal({[test_func3(x,y,z)]},{[(x + y + z)]})", - "equal({[test_func4(x,y,z,w)]},{[(x + y + z + w)]})", - "equal({[test_func5(x,y,z,w,u)]},{[(x + y + z + w + u)]})", - "equal(test_func1(2.12),(2.12))", - "equal(test_func2(2.12,3.12),(2.12 + 3.12))", - "equal(test_func3(2.12,3.12,4.12),(2.12 + 3.12 + 4.12))", - "equal(test_func4(2.12,3.12,4.12,5.12),(2.12 + 3.12 + 4.12 + 5.12))", - "equal(test_func5(2.12,3.12,4.12,5.12,6.12),(2.12 + 3.12 + 4.12 + 5.12 + 6.12))", - "equal(1.1 + test_func1(2.12),(2.12 + 1.1))", - "equal(1.1 + test_func2(2.12,3.12),(2.12 + 3.12 + 1.1))", - "equal(1.1 + test_func3(2.12,3.12,4.12),(2.12 + 3.12 + 4.12 + 1.1))", - "equal(1.1 + test_func4(2.12,3.12,4.12,5.12),(2.12 + 3.12 + 4.12 + 5.12 + 1.1))", - "equal(1.1 + test_func5(2.12,3.12,4.12,5.12,6.12),(2.12 + 3.12 + 4.12 + 5.12 + 6.12 + 1.1))", - "equal(test_func1(2.12) + 2.2,(2.12 + 2.2))", - "equal(test_func2(2.12,3.12) + 2.2,(2.12 + 3.12 + 2.2))", - "equal(test_func3(2.12,3.12,4.12) + 2.2,(2.12 + 3.12 + 4.12 + 2.2))", - "equal(test_func4(2.12,3.12,4.12,5.12) + 2.2,(2.12 + 3.12 + 4.12 + 5.12 + 2.2))", - "equal(test_func5(2.12,3.12,4.12,5.12,6.12) + 2.2,(2.12 + 3.12 + 4.12 + 5.12 + 6.12 + 2.2))", - "equal({[test_func1(2.12)]},{[(2.12)]})", - "equal({[test_func2(2.12,3.12)]},{[(2.12 + 3.12)]})", - "equal({[test_func3(2.12,3.12,4.12)]},{[(2.12 + 3.12 + 4.12)]})", - "equal({[test_func4(2.12,3.12,4.12,5.12)]},{[(2.12 + 3.12 + 4.12 + 5.12)]})", - "equal({[test_func5(2.12,3.12,4.12,5.12,6.12)]},{[(2.12 + 3.12 + 4.12 + 5.12 + 6.12)]})", - "TeSt_FuNc0 = tEsT_fUnC0()", - "TEst_fuNC0 == tESt_fUNc0()", - "EquaL(tEsT_FuNC1(x),(x))", - "eQuAl(teSt_fUnc2(x,y),(x + y))", - "EqUaL(tEsT_fUNc3(x,y,z),(x + y + z))", - "EQUal(TEst_FunC4(x,y,z,w),(x + y + z + w))", - "eqUAL(tEsT_FuNc5(x,y,z,w,u),(x + y + z + w + u))" - }; - static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - std::deque expression_list; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(expr_str_list[i],expression)) - { - printf("run_test16() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - if (T(1) != expression_list[i].value()) - { - printf("run_test16() - Error in evaluation! (1) Expression: %s\n", - expr_str_list[i].c_str()); - - error_found = true; - } - } - - return !error_found; -} - -template -bool run_test17() -{ - typedef exprtk::expression expression_t; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - T w = T(4.4); - T u = T(5.5); - T v = T(6.6); - T t = T(7.7); - - T one = T(1); - T zero = T(0); - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - symbol_table.add_variable("u",u); - symbol_table.add_variable("v",v); - symbol_table.add_variable("t",t); - - symbol_table.add_variable("one",one); - symbol_table.add_variable("zero",zero); - - static const std::string expr_str_list[] = - { - "equal(mand(one,one),1.0)", - "equal(mand(one,zero),0.0)", - "equal(mand(zero,one),0.0)", - "equal(mand(zero,zero),0.0)", - "equal(mand(one,one),1.0)", - "equal(mand(one,one,one),1.0)", - "equal(mand(one,one,one,one),1.0)", - "equal(mand(one,one,one,one,one),1.0)", - "equal(mand(one,one,zero),0.0)", - "equal(mand(one,one,one,zero),0.0)", - "equal(mand(one,one,one,one,zero),0.0)", - "equal(mand(one,one,one,one,one,zero),0.0)", - "equal(mor(one,one),1.0)", - "equal(mor(one,zero),1.0)", - "equal(mor(zero,one),1.0)", - "equal(mor(zero,zero),0.0)", - "equal(mor(one,one),1.0)", - "equal(mor(one,one,zero),1.0)", - "equal(mor(one,zero,one),1.0)", - "equal(mor(one,zero,one,zero),1.0)", - "equal(mor(zero,one),1.0)", - "equal(mor(zero,zero,one),1.0)", - "equal(mor(zero,zero,zero,zero,one),1.0)", - "equal(mor(zero,zero,zero,zero,zero,one),1.0)", - "equal(mor(zero,zero,zero,zero,zero,zero,zero,zero),0.0)", - "equal((one nand one),not(mand(one,one)))", - "equal((one nand zero),not(mand(one,zero)))", - "equal((zero nand one),not(mand(zero,one)))", - "equal((zero nand zero),not(mand(zero,zero)))", - "equal((one nor one),not(mor(one,one)))", - "equal((one nor zero),not(mor(one,zero)))", - "equal((zero nor one),not(mor(zero,one)))", - "equal((zero nor zero),not(mor(zero,zero)))", - "equal(sum(x,y,z,w,u,v,t),(x+y+z+w+u+v+t))", - "equal(sum(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2*(x+y+z+w+u+v+t))", - "equal(mul(x,y,z,w,u,v,t),(x*y*z*w*u*v*t))", - "equal(mul(x*t,y*v,z*u,w*w,u*z,v*y,t*x),(x*y*z*w*u*v*t)^2)", - "equal(sum(x,1.0,y,2.0,z,3.0,w,4.0,u,5.0,v,6.0,t),(x+y+z+w+u+v+t+21.0))", - "equal(sum(x+1.0,y+2.0,z+3.0,w+4.0,u+5.0,v+6.0,t),(x+y+z+w+u+v+t+21.0))", - "equal(mul(x,1.0,y,2.0,z,3.0,w,4.0,u,5.0,v,6.0,t),(x*y*z*w*u*v*t*720.0))", - "equal(mul(x*1.0,y*2.0,z*3.0,w*4.0,u*5.0,v*6.0,t),(x*y*z*w*u*v*t*720.0))", - "equal(min(x,y,z,w,u,v,t,zero),zero)", - "equal(min(x+y,z+w,u+v,t,zero),zero)", - "equal(max(one,x,y,z,w,u,v,t),t)", - "equal(max(x+y,z+w,u+v,t,one),u+v)", - "equal(avg(x,y,z,w,u,v,t),(x+y+z+w+u+v+t)/7.0)", - "equal(avg(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2/7*(x+y+z+w+u+v+t))" - }; - static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - std::deque expression_list; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(expr_str_list[i],expression)) - { - printf("run_test17() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - if (T(1) != expression_list[i].value()) - { - printf("run_test17() - Error in evaluation! (1) Expression: %s\n", - expr_str_list[i].c_str()); - - error_found = true; - } - } - - return !error_found; -} - -template -struct va_func exprtk_test_final : public exprtk::ivararg_function -{ - va_func() - { - exprtk::enable_zero_parameters(*this); - exprtk::set_min_num_args(*this, 0); - exprtk::set_max_num_args(*this, 20); - } - - inline T operator()(const std::vector& arglist) exprtk_test_override - { - T result = T(0); - - for (std::size_t i = 0; i < arglist.size(); ++i) - { - result += arglist[i]; - } - - return result; - } -}; - -template -struct gen_func exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function::generic_type generic_type; - typedef typename exprtk::igeneric_function::parameter_list_t parameter_list_t; - - typedef typename generic_type::scalar_view scalar_t; - typedef typename generic_type::vector_view vector_t; - typedef typename generic_type::string_view string_t; - - using exprtk::igeneric_function::operator(); - - gen_func() - : scalar_count(0) - , vector_count(0) - , string_count(0) - {} - - inline T operator()(parameter_list_t params) exprtk_test_override - { - for (std::size_t i = 0; i < params.size(); ++i) - { - generic_type& gt = params[i]; - - switch (gt.type) - { - case generic_type::e_scalar : scalar_count++; - break; - - case generic_type::e_vector : vector_count++; - break; - - case generic_type::e_string : { - if ( - ("CdEf" != exprtk::to_str(string_t(gt))) && - ("abc123" != exprtk::to_str(string_t(gt))) - ) - { - return std::numeric_limits::quiet_NaN(); - } - else - string_count++; - } - break; - - default : return std::numeric_limits::quiet_NaN(); - } - } - - return T(0); - } - - std::size_t scalar_count; - std::size_t vector_count; - std::size_t string_count; -}; - -template -struct gen_func2 exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function::parameter_list_t parameter_list_t; - - using exprtk::igeneric_function::operator(); - - gen_func2() - {} - - inline T operator()(parameter_list_t) exprtk_test_override - { - return T(0); - } - - inline T operator()(const std::size_t&, parameter_list_t params) exprtk_test_override - { - return this->operator()(params); - } -}; - -template -struct inc_func exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function::generic_type generic_type; - typedef typename exprtk::igeneric_function::parameter_list_t parameter_list_t; - - typedef typename generic_type::scalar_view scalar_t; - typedef typename generic_type::vector_view vector_t; - typedef typename generic_type::string_view string_t; - - using exprtk::igeneric_function::operator(); - - inc_func() - {} - - inline T operator()(parameter_list_t params) exprtk_test_override - { - for (std::size_t i = 0; i < params.size(); ++i) - { - generic_type& gt = params[i]; - - switch (gt.type) - { - case generic_type::e_scalar : { - scalar_t scalar(gt); - scalar() += T(1); - } - break; - - case generic_type::e_vector : { - vector_t vector(gt); - - for (std::size_t x = 0; x < vector.size(); ++x) - { - vector[x] += T(1); - } - } - break; - - case generic_type::e_string : { - string_t string(gt); - - for (std::size_t x = 0; x < string.size(); ++x) - { - string[x] += static_cast(1); - } - } - break; - - default : return std::numeric_limits::quiet_NaN(); - } - } - - return T(0); - } - - inline T operator()(const std::size_t&, parameter_list_t params) exprtk_test_override - { - return this->operator()(params); - } -}; - -template -struct rem_space_and_uppercase exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function igenfunc_t; - typedef typename igenfunc_t::generic_type generic_type; - typedef typename igenfunc_t::parameter_list_t parameter_list_t; - typedef typename generic_type::string_view string_t; - - using exprtk::igeneric_function::operator(); - - rem_space_and_uppercase() - : igenfunc_t("S",igenfunc_t::e_rtrn_string) - {} - - inline T operator()(std::string& result, parameter_list_t params) exprtk_test_override - { - string_t string(params[0]); - - result.reserve(string.size()); - result.clear(); - - char c; - - for (std::size_t i = 0; i < string.size(); ++i) - { - if (' ' != (c = string[i])) - result += static_cast(std::toupper(c)); - } - - return T(0); - } - - inline T operator()(const std::size_t& param_seq_index, std::string& result, parameter_list_t params) exprtk_test_override - { - if (1 == param_seq_index) - return this->operator()(result,params); - else - return T(0); - } -}; - -template -struct vararg_func exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - typedef typename exprtk::igeneric_function::generic_type - generic_type; - - typedef typename generic_type::scalar_view scalar_t; - typedef typename generic_type::vector_view vector_t; - - using exprtk::igeneric_function::operator(); - - vararg_func() - : exprtk::igeneric_function("Z|T*|V") - {} - - inline T operator()(const std::size_t& ps_index, parameter_list_t /*arglist*/) exprtk_test_override - { - switch (ps_index) - { // Overload resolution: - case 0 : return T(0); // Z - Zero arguments - case 1 : return T(1); // T* - One or more scalars - case 2 : return T(2); // V - One vector - default : return std::numeric_limits::quiet_NaN(); - } - } -}; - -template -struct vecrebase_func exprtk_test_final : public exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - typedef typename exprtk::igeneric_function::generic_type - generic_type; - - typedef typename generic_type::vector_view vector_t; - - using exprtk::igeneric_function::operator(); - - vecrebase_func() - : exprtk::igeneric_function("V") - {} - - inline T operator()(parameter_list_t params) exprtk_test_override - { - vector_t v(params[0]); - return std::accumulate(v.begin(), v.end(), T(0)); - } -}; - -template -struct overload_func exprtk_test_final : exprtk::igeneric_function -{ - typedef typename exprtk::igeneric_function igfun_t; - typedef typename igfun_t::parameter_list_t parameter_list_t; - typedef typename igfun_t::generic_type generic_type; - typedef typename generic_type::vector_view vector_t; - - using exprtk::igeneric_function::operator(); - - overload_func(const std::string& param_seq_list) - : exprtk::igeneric_function(param_seq_list, igfun_t::e_rtrn_overload) - , current_ps_index(std::numeric_limits::max()) - { - clear(); - } - - void clear() - { - current_ps_index = std::numeric_limits::max(); - current_param_seq = ""; - } - - inline T operator()(const std::size_t& ps_index, - parameter_list_t parameters) exprtk_test_override - { - current_ps_index = ps_index; - determine_param_seq(parameters); - return T(1); - } - - inline T operator()(const std::size_t& ps_index, - std::string& result, - parameter_list_t parameters) exprtk_test_override - { - current_ps_index = ps_index; - determine_param_seq(parameters); - result = "string result"; - return T(1); - } - - void determine_param_seq(parameter_list_t parameters) - { - current_param_seq = ""; - - for (std::size_t i = 0; i < parameters.size(); ++i) - { - generic_type& gt = parameters[i]; - - switch (gt.type) - { - case generic_type::e_scalar : current_param_seq += "T"; - break; - - case generic_type::e_vector : current_param_seq += "V"; - break; - - case generic_type::e_string : current_param_seq += "S"; - break; - - default : continue; - } - } - } - - std::size_t current_ps_index; - std::string current_param_seq; - - struct test_result_t - { - test_result_t(const std::size_t psi, const std::string& ps) - : ps_index(psi) - , param_seq(ps) - {} - - std::size_t ps_index; - std::string param_seq; - }; -}; - -struct vector_access_rtc_counter : public exprtk::vector_access_runtime_check -{ - bool handle_runtime_violation(violation_context&) exprtk_test_override - { - rtc_count++; - return false; - } - - std::size_t rtc_count; -}; - -template -bool run_test18() -{ - { - exprtk::symbol_table symbol_table; - symbol_table.remove_variable("x",true); - symbol_table.remove_variable("x",false); - symbol_table.remove_stringvar("x"); - symbol_table.remove_function("x"); - symbol_table.remove_vararg_function("x"); - symbol_table.remove_vector("x"); - } - - { - exprtk::symbol_table symbol_table; - - { - T x; - const bool result1 = symbol_table.add_variable("x", x); - const bool result2 = symbol_table.remove_variable("x"); - const bool result3 = symbol_table.remove_variable("x"); - - if (!result1 || !result2 || result3) - { - printf("run_test18() - Failed sym_tab add/remove [1]\n"); - } - } - - { - std::string x; - const bool result1 = symbol_table.add_stringvar("x", x); - const bool result2 = symbol_table.remove_stringvar("x"); - const bool result3 = symbol_table.remove_stringvar("x"); - - if (!result1 || !result2 || result3) - { - printf("run_test18() - Failed sym_tab add/remove [2]\n"); - } - } - - { - std::vector x(10,T(0)); - const bool result1 = symbol_table.add_vector("x", x); - const bool result2 = symbol_table.remove_vector("x"); - const bool result3 = symbol_table.remove_vector("x"); - - if (!result1 || !result2 || result3) - { - printf("run_test18() - Failed sym_tab add/remove [3]\n"); - } - } - - { - myfunc x; - const bool result1 = symbol_table.add_function("x", x); - const bool result2 = symbol_table.remove_function("x"); - const bool result3 = symbol_table.remove_function("x"); - - if (!result1 || !result2 || result3) - { - printf("run_test18() - Failed sym_tab add/remove [4]\n"); - } - } - - { - va_func x; - const bool result1 = symbol_table.add_function("x", x); - const bool result2 = symbol_table.remove_vararg_function("x"); - const bool result3 = symbol_table.remove_vararg_function("x"); - - if (!result1 || !result2 || result3) - { - printf("run_test18() - Failed sym_tab add/remove [5]\n"); - } - } - - { - symbol_table.add_function("foo1",foo1); - symbol_table.add_function("foo2",foo2); - symbol_table.add_function("foo3",foo3); - symbol_table.add_function("foo4",foo4); - symbol_table.add_function("foo5",foo5); - symbol_table.add_function("foo6",foo6); - - symbol_table.remove_function("foo1"); - symbol_table.remove_function("foo2"); - symbol_table.remove_function("foo3"); - symbol_table.remove_function("foo4"); - symbol_table.remove_function("foo5"); - symbol_table.remove_function("foo6"); - } - } - - { - typedef exprtk::expression expression_t; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - T w = T(4.4); - T u = T(5.5); - T v = T(6.6); - T t = T(7.7); - - va_func vaf; - - exprtk::symbol_table symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - symbol_table.add_variable("u",u); - symbol_table.add_variable("v",v); - symbol_table.add_variable("t",t); - symbol_table.add_function("va_func",vaf); - - static const std::string expr_str_list[] = - { - "equal(va_func,(0))", - "equal(va_func(),(0))", - "equal(va_func(1,2,3,4,5,6,7,8,9),(1+2+3+4+5+6+7+8+9))", - "equal(va_func(1,x,3,y,5,z,7,w,9),(1+x+3+y+5+z+7+w+9))", - "equal(va_func(x,2,y,4,z,6,w,8,u),(x+2+y+4+z+6+w+8+u))", - "equal(va_func(x,y,z,w,u,v,t,1,2,3),(x+y+z+w+u+v+t+1+2+3))", - "equal(va_func(x,y,z,w,u,v,t),(x+y+z+w+u+v+t))", - "equal(va_func(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2*(x+y+z+w+u+v+t))", - "equal(1+va_func(1,x,3,y,5,z,7,w,9),(1+x+3+y+5+z+7+w+9)+1)", - "equal(va_func(va_func(x,y,z,w,u,v,t),va_func(x,y,z,w,u,v,t)),2*(x+y+z+w+u+v+t))", - "equal(va_func(va_func(x),va_func(y),va_func(z)),va_func(x,y,z))", - "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x)))))))),x)", - "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(123.456)))))))),123.456)", - "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x+1)))))))),x+1)", - "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x+y)))))))),x+y)" - }; - static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - std::deque expression_list; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(expr_str_list[i],expression)) - { - printf("run_test18() - [1] VarArg Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - if (T(1) != expression_list[i].value()) - { - printf("run_test18() - Error in evaluation! (1) Expression: %s\n", - expr_str_list[i].c_str()); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - T x = T(33); - T y = T(77); - - T v0[] = { T(1), T(1), T(1), T(1) }; - T v1[] = { T(1), T(2), T(3), T(4) }; - - std::vector v2; - - v2.push_back(T(5)); - v2.push_back(T(6)); - v2.push_back(T(7)); - v2.push_back(T(8)); - - std::string s0 = "AbCdEfGhIj"; - - gen_func f; - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - symbol_table.add_variable ("x" , x); - symbol_table.add_variable ("y" , y); - symbol_table.add_vector ("v0" ,v0); - symbol_table.add_vector ("v1" ,v1); - symbol_table.add_vector ("v2" ,v2); - symbol_table.add_stringvar("s0", s0); - symbol_table.add_function ("gen_func", f); - - const std::string expression_list[] = - { - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x, 2x + y);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func('abc123', s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z,2w / 3);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; gen_func(s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z,2w / 3, 'abc123');" - }; - - static const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - const std::string& expression_str = expression_list[i]; - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test18() - [2] GenFunc Error: %s Expression: %s [2]\n", - parser.error().c_str(), - expression_str.c_str()); - - error_found = true; - continue; - } - - f.scalar_count = 0; - f.vector_count = 0; - f.string_count = 0; - - expression.value(); - - if ( - (4 != f.scalar_count) || - (3 != f.vector_count) || - (2 != f.string_count) - ) - { - printf("run_test18() - Error in evaluation! (2) Expression: %s " - "sc_count = %d " - "vr_count = %d " - "st_count = %d\n", - expression_list[i].c_str(), - static_cast(f.scalar_count), - static_cast(f.vector_count), - static_cast(f.string_count)); - - error_found = true; - } - - expression.release(); - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - T x = T(33); - T y = T(77); - - T v0[] = { T(1), T(1), T(1), T(1) }; - T v1[] = { T(1), T(2), T(3), T(4) }; - T v2[] = { T(5), T(6), T(7), T(8) }; - - std::string s0 = "AbCdEfGhIj"; - - gen_func2 f; - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - symbol_table.add_variable ("x" , x); - symbol_table.add_variable ("y" , y); - symbol_table.add_vector ("v0" ,v0); - symbol_table.add_vector ("v1" ,v1); - symbol_table.add_vector ("v2" ,v2); - symbol_table.add_stringvar("s0", s0); - symbol_table.add_function ("foo", f); - - const std::string expression_list[] = - { - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x, 2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(2x + y, z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(z, 2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x, 2x + y);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(2w / 3, 'abc123',s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo('abc123', s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z,2w / 3);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0[2:6],v0, v1 + v2, v0[2], x, 2x + y, z,2w / 3, 'abc123');", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0[2:3]+s0[4:5],v0, v1 + v2, v0[2], x, 2x + y, z,2w / 3, 'abc123');", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x,x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0,s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0,v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(x,x,x,x);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(s0,s0,s0,s0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v0,v0,v0);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);", - "var z := 3; var w[3] := { 1/3, 1/5, 1/7 }; foo(v0,v1 + v2, v0[2], x, 2x + y, z, 2w / 3, 'abc123',s0[2:5]);" - }; - - static const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - const std::string parameter_type_list[] = - { - "VVTTTTVSS", - "VTTTTVSSV", - "TTTTVSSVV", - "TTTVSSVVT", - "TTVSSVVT*", - "TVSSVVT*" , - "VSSVVT*" , - "SSVVTTTTV", - "SVVTTTTVS", - "SVVTTTTVS", - "V*T*VS*" , - "V*TTTTVSS", - "VVT*VSS" , - "VVTTTTVS*", - "T*", - "T*", - "T*", - "T*", - "S*", - "S*", - "S*", - "S*", - "V*", - "V*", - "V*", - "V*", - "T", - "TT", - "TTT", - "TTTT", - "S", - "SS", - "SSS", - "SSSS", - "V", - "VV", - "VVV", - "VVVV", - "TTTTTTT|STSTSTS|V*T*VS*" , - "TTTTTTT|STSTSTS|V*TTTTVSS", - "TTTTTTT|STSTSTS|VVT*VSS" , - "TTTTTTT|STSTSTS|VVTTTTVS*", - }; - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - const std::string& expression_str = expression_list[i]; - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - f.parameter_sequence = parameter_type_list[i]; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test18() - [3] GenFunc2 Error: %s Expression: %s Parameter Sequence: %s [3]\n", - parser.error().c_str(), - expression_str.c_str(), - parameter_type_list[i].c_str()); - - error_found = true; - continue; - } - - expression.value(); - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - const std::string expression_list[] = - { - "foo(v0,v1,v2,x,y,s0);", - "foo(v1,v2,x,y,s0,v0);", - "foo(v2,x,y,s0,v0,v1);", - "foo(x,y,s0,v0,v1,v2);", - "foo(y,s0,v0,v1,v2,x);", - "foo(s0,v0,v1,v2,x,y);" - }; - - static const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - const std::string parameter_type_list[] = - { - "VVVTTS", - "VVTTSV", - "VTTSVV", - "TTSVVV", - "TSVVVT", - "SVVVTT" - }; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - T x = T(33); - T y = T(77); - - T v0[] = { T(1), T(1), T(1), T(1) }; - T v1[] = { T(1), T(2), T(3), T(4) }; - T v2[] = { T(5), T(6), T(7), T(8) }; - - std::string s0 = "AbCdEfGhIj"; - - T x_inc = T(34); - T y_inc = T(78); - - T v0_inc[] = { T(2), T(2), T(2), T(2) }; - T v1_inc[] = { T(2), T(3), T(4), T(5) }; - T v2_inc[] = { T(6), T(7), T(8), T(9) }; - - std::size_t sizeof_vec = sizeof(v0) / sizeof(T); - - std::string s0_inc = "BcDeFgHiJk"; - - inc_func f; - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - symbol_table.add_variable ("x" , x ); - symbol_table.add_variable ("y" , y ); - symbol_table.add_vector ("v0" , v0); - symbol_table.add_vector ("v1" , v1); - symbol_table.add_vector ("v2" , v2); - symbol_table.add_stringvar("s0", s0); - symbol_table.add_function ("foo", f ); - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - f.parameter_sequence = parameter_type_list[i]; - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test18() - [4] IncFunc Error: %s Expression: %s Parameter Sequence: %s [4]\n", - parser.error().c_str(), - expression_list[i].c_str(), - parameter_type_list[i].c_str()); - - error_found = true; - continue; - } - - expression.value(); - - if (x != x_inc) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: x\n", - expression_list[i].c_str()); - error_found = true; - } - - if (y != y_inc) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: y\n", - expression_list[i].c_str()); - error_found = true; - } - - if (s0 != s0_inc) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: y\n", - expression_list[i].c_str()); - error_found = true; - } - - if (!std::equal(v0,v0 + sizeof_vec,v0_inc)) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: v0\n", - expression_list[i].c_str()); - error_found = true; - } - - if (!std::equal(v1,v1 + sizeof_vec,v1_inc)) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: v1\n", - expression_list[i].c_str()); - error_found = true; - } - - if (!std::equal(v2,v2 + sizeof_vec,v2_inc)) - { - printf("run_test18() - Error in evaluation! (3) Expression: %s Check: v2\n", - expression_list[i].c_str()); - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - rem_space_and_uppercase rsauc; - - std::string s0 = "XXXXXXXXXXXXXXX"; - std::string s1 = "XXXXXXXXXXXXXXX"; - std::string s2 = "XXXXXXXXXXXXXXX"; - std::string s3 = "XXXXXXXXXXXXXXX"; - std::string s4 = "XXXXXXXXXXXXXXX"; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - symbol_table.add_stringvar("s0", s0); - symbol_table.add_stringvar("s1", s1); - symbol_table.add_stringvar("s2", s2); - symbol_table.add_stringvar("s3", s3); - symbol_table.add_stringvar("s4", s4); - - symbol_table.add_function("remspc_uc", rsauc); - - const std::string program = - " s0 := 'How now '; " - " s1 := 'brown cow?'; " - " s2 := remspc_uc(s0 + s1); " - " s3 := remspc_uc(s0) + s1; " - " s4 := s0 + remspc_uc(s1); " - " remspc_uc(s0 + s1) == remspc_uc(s0) + remspc_uc(s1); "; - - const std::string parameter_type_list[] = - { - "VVVTTT|S", - "VVTTTV|S", - "VTTTVV|S", - "TTTVVV|S", - "TTVVVT|S", - "TVVVTT|S" - }; - - std::size_t parameter_type_list_size = sizeof(parameter_type_list) / sizeof(std::string); - - for (std::size_t i = 0; i < parameter_type_list_size; ++i) - { - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - rsauc.parameter_sequence = parameter_type_list[i]; - - if (!parser.compile(program,expression)) - { - printf("run_test18() - [5] Error: %s\tExpression: %s\n", - parser.error().c_str(), - program.c_str()); - - return false; - } - - const T result = expression.value(); - - if (result != T(1)) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Result <> 1\n", - program.c_str()); - error_found = true; - } - - if (result != T(1)) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s0\n", - program.c_str()); - error_found = true; - } - - if ("How now " != s0) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s0\n", - program.c_str()); - error_found = true; - } - - if ("brown cow?" != s1) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s1\n", - program.c_str()); - error_found = true; - } - - if ("HOWNOWBROWNCOW?" != s2) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s2\n", - program.c_str()); - error_found = true; - } - - if ("HOWNOWbrown cow?" != s3) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s3\n", - program.c_str()); - error_found = true; - } - - if ("How now BROWNCOW?" != s4) - { - printf("run_test18() - Error in evaluation! (4) Expression: %s Check: s4\n", - program.c_str()); - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - symbol_table_t symbol_table; - - T v[4] = {T(5), T(6), T(7), T(8)}; - - symbol_table.add_vector("v",v); - - vararg_func vaf; - symbol_table.add_function("vararg_func",vaf); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - const std::string programs[] = - { - "equal(0,vararg_func())", - "equal(1,vararg_func() + 1)", - "equal(1,1 + vararg_func())", - "equal(1,vararg_func + 1)", - "equal(1,1 + vararg_func)", - "equal(0,vararg_func() + vararg_func)", - "equal(0,vararg_func + vararg_func())", - "equal(1,vararg_func + vararg_func(1))", - "equal(1,vararg_func + vararg_func(1,2))", - "equal(2,vararg_func + vararg_func(v))", - "equal(1,vararg_func() + vararg_func(1))", - "equal(1,vararg_func() + vararg_func(1,2))", - "equal(2,vararg_func() + vararg_func(v))", - "equal(2,vararg_func(v))", - "equal(1,vararg_func(1))", - "equal(1,vararg_func(1,2,3))", - "equal(1,vararg_func(5,6,7,8))", - "equal(5,vararg_func(v) + 3)", - "equal(5,vararg_func(1) + 4)", - "equal(6,vararg_func(1,2,3) + 5)", - "equal(7,vararg_func(5,6,7,8) + 6)" - }; - - static const std::size_t programs_size = sizeof(programs) / sizeof(std::string); - - for (std::size_t i = 0; i < programs_size; ++i) - { - if (!parser.compile(programs[i],expression)) - { - printf("run_test18() - [6] Error: %s\tExpression: %s\n", - parser.error().c_str(), - programs[i].c_str()); - - error_found = true; - } - else if (T(1) != expression.value()) - { - printf("run_test18() - Error in evaluation! (5) Expression: %s\n", - programs[i].c_str()); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - std::vector v0; - std::vector v1; - std::vector v2; - std::vector v3; - - #define pb(v,N) \ - v.push_back(T(N)); \ - - pb(v0,0) pb(v0,0) pb(v0,0) pb(v0,0) pb(v0,0) pb(v0, 0) pb(v0, 0) - pb(v1,0) pb(v1,2) pb(v1,4) pb(v1,6) pb(v1,8) pb(v1,10) pb(v1,12) - pb(v2,1) pb(v2,3) pb(v2,5) pb(v2,7) pb(v2,9) pb(v2,11) pb(v2,13) - pb(v3,0) pb(v3,1) pb(v3,2) pb(v3,3) pb(v3,4) pb(v3, 5) pb(v3, 6) - #undef pb - - const std::string expr_string = "sum(v + 1)"; - - exprtk::vector_view v = exprtk::make_vector_view(v0,v0.size()); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expr_string,expression)) - { - printf("run_test18() - [7] Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_string.c_str()); - - error_found = true; - } - - T sum = { T(0) }; - - sum = expression.value(); - - if (not_equal(sum,T(7))) - { - printf("run_test18() - Error in evaluation! (6) Expression: %s\n", - expr_string.c_str()); - - error_found = true; - } - - v.rebase(v1.data()); - sum = expression.value(); - - if (not_equal(sum,T(49))) - { - printf("run_test18() - Error in evaluation! (7) Expression: %s\n", - expr_string.c_str()); - error_found = true; - } - - v.rebase(v2.data()); - sum = expression.value(); - - if (not_equal(sum,T(56))) - { - printf("run_test18() - Error in evaluation! (8) Expression: %s\n", - expr_string.c_str()); - error_found = true; - } - - v.rebase(v3.data()); - sum = expression.value(); - - if (not_equal(sum,T(28))) - { - printf("run_test18() - Error in evaluation! (9) Expression: %s\n", - expr_string.c_str()); - error_found = true; - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - std::vector v0; - std::vector s; - - #define pb(v,N) \ - v.push_back(T(N)); \ - - pb(v0,0) pb(v0,1) pb(v0,2) pb(v0,3) pb(v0,4) - pb(v0,5) pb(v0,6) pb(v0,7) pb(v0,8) pb(v0,9) - - pb(s, 3) pb(s, 6) pb(s, 9) pb(s,12) - pb(s,15) pb(s,18) pb(s,21) - #undef pb - - const std::string expr_string = "v[0] + v[1] + v[2]"; - - exprtk::vector_view v = exprtk::make_vector_view(v0,4); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expr_string,expression)) - { - printf("run_test18() - [8] Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_string.c_str()); - - error_found = true; - } - - for (std::size_t i = 0; i < v0.size() - 4; ++i) - { - v.rebase(v0.data() + i); - - T sum = expression.value(); - - if (not_equal(sum,s[i])) - { - printf("run_test18() - Error in evaluation! (7) Expression: %s Expected: %5.3f Computed: %5.3f\n", - expr_string.c_str(), - s[i], - sum); - - error_found = true; - } - - } - - if (error_found) - { - return false; - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - std::vector v0; - std::vector s; - - #define pb(v,N) \ - v.push_back(T(N)); \ - - pb(v0,0) pb(v0,1) pb(v0,2) pb(v0,3) pb(v0,4) - pb(v0,5) pb(v0,6) pb(v0,7) pb(v0,8) pb(v0,9) - - pb(s, 3) pb(s, 6) pb(s, 9) pb(s,12) - pb(s,15) pb(s,18) pb(s,21) - #undef pb - - const std::string expr_string = "var i := 0; var j := 1; var k := 2; v[i] + v[j] + v[k]"; - - exprtk::vector_view v = exprtk::make_vector_view(v0,4); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expr_string,expression)) - { - printf("run_test18() - [9] Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_string.c_str()); - - error_found = true; - } - - for (std::size_t i = 0; i < v0.size() - 4; ++i) - { - v.rebase(v0.data() + i); - - T sum = expression.value(); - - if (not_equal(sum,s[i])) - { - printf("run_test18() - Error in evaluation! (8) Expression: %s Expected: %5.3f Computed: %5.3f\n", - expr_string.c_str(), - s[i], - sum); - - error_found = true; - } - - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string const_folded_expression_list[] = - { - "(0 * dot(2 * v0,v1 - 1))", - "(0 * dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0)", - "(0 * dot(v0 - v1,v1 / v0))", - "(0 * dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0)", - "(0 * dot(v0,v1))", - "(0 * dot(v0,v1)) + (dot(v0,v1) * 0)", - "(0 / dot(2 * v0,v1 - 1))", - "(0 / dot(2 * v0,v1 - 1)) + (dot(2 * v0,v1 - 1) * 0)", - "(0 / dot(v0 - v1,v1 / v0))", - "(0 / dot(v0 - v1,v1 / v0)) + (dot(v0 - v1,v1 / v0) * 0)", - "(0 / dot(v0,v1))", - "(0 / dot(v0,v1)) + (dot(v0,v1) * 0)", - "(dot(2 * v0,v1 - 1) * 0)", - "(dot(2 * v0,v1 - 1) * 0) + (0 * dot(2 * v0,v1 - 1))", - "(dot(2 * v0,v1 - 1) * 0) + (0 / dot(2 * v0,v1 - 1))", - "(dot(v0 - v1,v1 / v0) * 0)", - "(dot(v0 - v1,v1 / v0) * 0) + (0 * dot(v0 - v1,v1 / v0))", - "(dot(v0 - v1,v1 / v0) * 0) + (0 / dot(v0 - v1,v1 / v0))", - "(dot(v0,v1) * 0)", - "(dot(v0,v1) * 0) + (0 * dot(v0,v1))", - "(dot(v0,v1) * 0) + (0 / dot(v0,v1))" - }; - - const std::size_t const_folded_expression_list_size = sizeof(const_folded_expression_list) / sizeof(std::string); - - const std::size_t vector_size = 5; - T v0[vector_size] = { 0, 2, 4, 6, 8 }; - T v1[vector_size] = { 1, 3, 5, 7, 9 }; - - exprtk::vector_view vv0 = exprtk::make_vector_view(v0, vector_size); - exprtk::vector_view vv1 = exprtk::make_vector_view(v1, vector_size); - - exprtk::rtl::vecops::package vector_package; - exprtk::rtl::io::package io_package; - - symbol_table_t symbol_table; - - symbol_table.add_package( vector_package ); - symbol_table.add_package( io_package ); - symbol_table.add_vector ( "v0" , vv0 ); - symbol_table.add_vector ( "v1" , vv1 ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - for (std::size_t i = 0; i < const_folded_expression_list_size; ++i) - { - const std::string& expression_string = const_folded_expression_list[i]; - - if (!parser.compile(expression_string, expression)) - { - printf("run_test18() - [10] Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - - if (!exprtk::expression_helper::is_literal(expression)) - { - printf("run_test18() - Error: Expression did not compile to a constant! [1] Expression: %s\n", - expression_string.c_str()); - - return false; - } - - for (std::size_t j = 0; j < 100; ++j) - { - if ((j % 2) == 0) - { - vv0.rebase(v0); - vv1.rebase(v1); - } - else - { - vv0.rebase(v1); - vv1.rebase(v0); - } - - const T result = expression.value(); - - if (result != T(0)) - { - printf("run_test18() - Error: Expected result of zero, result: %8.4f for Expression: %s\n", - result, - expression_string.c_str()); - - return false; - } - } - - expression.release(); - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string rebase_expression_list[] = - { - "dot(v0,v1)", - "dot(2 * v0,v1 - 1) + dot(2 * v0,v1 - 1)", - "dot(2 * v0,v1 - 1)", - "dot(v0 - v1,v1 / v0) + dot(v0 - v1,v1 / v0)", - "dot(v0 - v1,v1 / v0)", - "dot(v0,v1) + dot(v0,v1)", - "dot(v0,v1) + x", - "dot(2 * v0,v1 - 1) * x + dot(2 * v0,v1 - 1) * y", - "x / dot(2 * v0,v1 - 1)", - "x / dot(v0 - v1,v1 / v0) + dot(v0 - v1,v1 / v0) / y", - "x * dot(v0 - v1,v1 / v0) / y", - "x - dot(v0,v1) + dot(v0,v1) + y", - }; - - const std::size_t rebase_expression_list_size = sizeof(rebase_expression_list) / sizeof(std::string); - - T x = T(1.234); - T y = T(5.678); - - const std::size_t vector_size = 5; - T v0[vector_size] = { 0, 2, 4, 6, 8 }; - T v1[vector_size] = { 1, 3, 5, 7, 9 }; - - exprtk::vector_view vv0 = exprtk::make_vector_view(v0, vector_size); - exprtk::vector_view vv1 = exprtk::make_vector_view(v1, vector_size); - - exprtk::rtl::vecops::package vector_package; - exprtk::rtl::io::package io_package; - - symbol_table_t symbol_table; - - symbol_table.add_package ( vector_package ); - symbol_table.add_package ( io_package ); - symbol_table.add_variable( "x" , x ); - symbol_table.add_variable( "y" , y ); - symbol_table.add_vector ( "v0" , vv0 ); - symbol_table.add_vector ( "v1" , vv1 ); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - for (std::size_t i = 0; i < rebase_expression_list_size; ++i) - { - const std::string& expression_string = rebase_expression_list[i]; - - if (!parser.compile(expression_string, expression)) - { - printf("run_test18() - [11] Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - - for (std::size_t j = 0; j < 100; ++j) - { - if ((j % 2) == 0) - { - vv0.rebase(v0); - vv1.rebase(v1); - } - else - { - vv0.rebase(v1); - vv1.rebase(v0); - } - - expression.value(); - } - - expression.release(); - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - std::vector v0; - std::vector s; - - #define pb(v,N) \ - v.push_back(T(N)); \ - - pb(v0,0) pb(v0,1) pb(v0,2) pb(v0,3) pb(v0,4) - pb(v0,5) pb(v0,6) pb(v0,7) pb(v0,8) pb(v0,9) - - pb(s, 3) pb(s, 6) pb(s, 9) pb(s,12) - pb(s,15) pb(s,18) pb(s,21) - #undef pb - - const std::string expr_string = "var i := 0; v[i + 0] + v[i + 1] + v[i + 2]"; - - exprtk::vector_view v = exprtk::make_vector_view(v0,4); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expr_string,expression)) - { - printf("run_test18() - [12] Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_string.c_str()); - - error_found = true; - } - - for (std::size_t i = 0; i < v0.size() - 4; ++i) - { - v.rebase(v0.data() + i); - - const T sum = expression.value(); - - if (not_equal(sum,s[i])) - { - printf("run_test18() - Error in evaluation! (9) Expression: %s Expected: %5.3f Computed: %5.3f\n", - expr_string.c_str(), - s[i], - sum); - - error_found = true; - } - - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - T v0[] = { T(0), T(1), T(2), T(3), T(4) }; - T v1[] = { T(5), T(6), T(7), T(8), T(9) }; - - const std::size_t v0_size = sizeof(v0) / sizeof (T); - const std::size_t v1_size = sizeof(v1) / sizeof (T); - - exprtk::vector_view v = exprtk::make_vector_view(v0, v0_size); - - vecrebase_func vec_sum; - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - symbol_table.add_function("vec_sum",vec_sum); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - const std::string expr_string = "vec_sum(v)"; - - if (!parser.compile(expr_string,expression)) - { - printf("run_test18() - [13] Error: %s\tExpression: %s\n", - parser.error().c_str(), - expr_string.c_str()); - - return false; - } - - const T expected_result0 = std::accumulate(v0, v0 + v0_size, T(0)); - - if (expression.value() != expected_result0) - { - printf("run_test18() - Error in evaluation! (10.1) Expression: %s Expected: %5.3f Computed: %5.3f\n", - expr_string.c_str(), - expected_result0, - expression.value()); - - return false; - } - - v.rebase(v1); - - const T expected_result1 = std::accumulate(v1, v1 + v1_size, T(0)); - - if (expression.value() != expected_result1) - { - printf("run_test18() - Error in evaluation! (10.2) Expression: %s Expected: %5.3f Computed: %5.3f\n", - expr_string.c_str(), - expected_result1, - expression.value()); - - return false; - } - } - - { - bool error_found = false; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - exprtk::rtl::vecops::package vecops_pkg; - - symbol_table_t symbol_table; - symbol_table.add_package(vecops_pkg); - - const std::string expr_str_list[] = - { - "var v[9] := {1,2,3,4,5,6,7,8,9}; all_true(v) == true" , - "var v[6] := {-1,-2,-3,-4,-5,-6}; all_true(v) == true" , - "var v[8] := {1,2,3,0,0,0,0,0}; all_true(v) == false", - "var v[8] := {-1,-2,-3,0,0,0,0,0}; all_true(v) == false", - "var v[9] := {0,0,0,0,0,0,0,0,0}; all_true(v + 1) == true", - - "var v[9] := {0,0,0,0,0,0,0,0,0}; all_false(v) == true" , - "var v[9] := {0,0,0,0,0,1,2,3,4}; all_false(v) == false" , - "var v[8] := {0,0,0,0,0,-1,-2,-3}; all_false(v) == false" , - "var v[9] := {1,1,1,1,1,1,1,1,1}; any_false(v - 1) == true", - - "var v[9] := {0,0,0,0,0,0,0,0,1}; any_true(v) == true" , - "var v[9] := {0,0,0,0,1,0,0,0,0}; any_true(v) == true" , - "var v[9] := {0,0,0,0,0,0,0,0,0}; any_true(v) == false" , - "var v[9] := {0,0,0,0,0,0,0,0,0}; any_true(v + 1) == true", - - "var v[9] := {1,1,1,1,1,1,1,1,0}; any_false(v) == true" , - "var v[9] := {1,1,1,1,0,1,1,1,1}; any_false(v) == true" , - "var v[9] := {1,1,1,1,1,1,1,1,1}; any_false(v) == false" , - "var v[9] := {1,1,1,1,1,1,1,1,1}; any_false(v - 1) == true", - - "var v[9] := {0,0,0,0,0,0,0,0,0}; count(v) == 0" , - "var v[9] := {0,0,0,0,0,0,0,0,1}; count(v) == 1" , - "var v[9] := {0,0,0,0,0,0,0,2,1}; count(v) == 2" , - "var v[9] := {0,0,0,0,0,0,3,2,1}; count(v) == 3" , - "var v[9] := {0,0,0,0,0,0,0,0,0}; count(v + 1) == v[]", - "var v[9] := {1,1,1,1,1,1,1,1,1}; count(v - 1) == 0", - - "var v[9] := {1,2,3,4,5,6,7,8,9}; var r[9] := [0]; copy(v,r); sum(v == r) == v[]", - "var v[9] := {1,2,3,4,5,6,7,8,9}; var r[9] := [0]; copy(v,0,8,r,0,8); sum(r) == 45", - "var v[9] := {1,2,3,4,5,6,7,8,9}; var r[9] := [0]; copy(v,1,7,r,1,7); sum(r) == 35", - "var v[9] := {1,2,3,4,5,6,7,8,9}; var r[5] := [0]; copy(v,0,4,r,0,4); sum(r) == 15", - - "var v[5] := {1,2,3,4,5}; var r[5] := {4,5,1,2,3}; rol(v,3); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {3,4,5,1,2}; ror(v,3); sum(v == r) == v[]", - - "var v[5] := {1,2,3,4,5}; var r[5] := {3,4,5,1,2}; rol(v,2); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {4,5,1,2,3}; ror(v,2); sum(v == r) == v[]", - - "var v[5] := {1,2,3,4,5}; var r[5] := {1,3,4,2,5}; rol(v,1,1,3); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {1,4,2,3,5}; ror(v,1,1,3); sum(v == r) == v[]", - - "var v[5] := {1,2,3,4,5}; var r[5] := {3,4,5,0,0}; shftl(v,2); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {5,0,0,0,0}; shftl(v,4); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {0,0,0,0,0}; shftl(v,5); sum(v == r) == v[]", - - "var v[5] := {1,2,3,4,5}; var r[5] := {0,0,1,2,3}; shftr(v,2); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {0,0,0,0,1}; shftr(v,4); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {0,0,0,0,0}; shftr(v,5); sum(v == r) == v[]", - - "var v[5] := {1,2,3,4,5}; var r[5] := {1,3,4,0,5}; shftl(v,1,1,3); sum(v == r) == v[]", - "var v[5] := {1,2,3,4,5}; var r[5] := {1,0,2,3,5}; shftr(v,1,1,3); sum(v == r) == v[]", - - "var v[5] := {1,3,5,2,4}; var r[5] := {1,2,3,4,5}; sort(v); sum(v == r) == v[]", - "var v[5] := {5,4,3,2,1}; var r[5] := {1,2,3,4,5}; sort(v); sum(v == r) == v[]", - "var v[5] := {1,4,2,3,5}; var r[5] := {1,2,3,4,5}; sort(v,1,3); sum(v == r) == v[]", - "var v[5] := {5,4,2,3,1}; var r[5] := {5,2,3,4,1}; sort(v,1,3); sum(v == r) == v[]", - "var v[5] := {3,1,2,4,5}; var r[5] := {1,2,3,4,5}; sort(v,0,2); sum(v == r) == v[]", - "var v[5] := {1,2,5,3,4}; var r[5] := {1,2,3,4,5}; sort(v,2,4); sum(v == r) == v[]", - - "var v[5] := {1,3,5,2,4}; var r[5] := {1,2,3,4,5}; sort(v,'ascending'); sum(v == r) == v[]", - "var v[5] := {1,3,5,2,4}; var r[5] := {1,2,3,4,5}; sort(v,'aScEnDiNg'); sum(v == r) == v[]", - "var v[5] := {5,4,3,2,1}; var r[5] := {1,2,3,4,5}; sort(v,'ascending'); sum(v == r) == v[]", - "var v[5] := {1,4,2,3,5}; var r[5] := {1,2,3,4,5}; sort(v,'ascending',1,3); sum(v == r) == v[]", - "var v[5] := {3,1,2,4,5}; var r[5] := {1,2,3,4,5}; sort(v,'ascending',0,2); sum(v == r) == v[]", - "var v[5] := {1,2,5,3,4}; var r[5] := {1,2,3,4,5}; sort(v,'ascending',2,4); sum(v == r) == v[]", - - "var v[5] := {1,3,5,2,4}; var r[5] := {5,4,3,2,1}; sort(v,'descending'); sum(v == r) == v[]", - "var v[5] := {1,3,5,2,4}; var r[5] := {5,4,3,2,1}; sort(v,'DeScEnDiNg'); sum(v == r) == v[]", - "var v[5] := {5,4,3,2,1}; var r[5] := {5,4,3,2,1}; sort(v,'descending'); sum(v == r) == v[]", - "var v[5] := {1,4,2,3,5}; var r[5] := {1,4,3,2,5}; sort(v,'descending',1,3); sum(v == r) == v[]", - "var v[5] := {3,1,2,4,5}; var r[5] := {3,2,1,4,5}; sort(v,'descending',0,2); sum(v == r) == v[]", - "var v[5] := {1,2,5,3,4}; var r[5] := {1,2,5,4,3}; sort(v,'descending',2,4); sum(v == r) == v[]", - - "var v[9] := {7,8,9,1,2,3,4,5,6}; nth_element(v,trunc(v[] / 2)); v[v[] / 2] == 5", - "var v[9] := {7,8,9,1,2,3,4,5,6}; nth_element(v,trunc(v[] / 3)); v[v[] / 3] == 4", - - "var v[9] := {7,8,9,1,2,3,4,5,6}; nth_element(v,trunc(v[] / 2)); sort(v,0,trunc(v[] / 2)); (v[v[] / 2] == 5) and (v[0] == 1)", - "var v[9] := {7,8,9,1,2,3,4,5,6}; nth_element(v,trunc(v[] / 3)); sort(v,0,trunc(v[] / 3)); (v[v[] / 3] == 4) and (v[0] == 1)", - - "var v[5]; iota(v, 0,1); var r[5] := { 0, 1, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0,2); var r[5] := { 0, 2, 4, 6, 8}; sum(v == r) == v[]", - "var v[5]; iota(v, 1,1); var r[5] := { 1, 2, 3, 4, 5}; sum(v == r) == v[]", - "var v[5]; iota(v, 1,2); var r[5] := { 1, 3, 5, 7, 9}; sum(v == r) == v[]", - "var v[5]; iota(v,-1,1); var r[5] := {-1, 0, 1, 2, 3}; sum(v == r) == v[]", - "var v[5]; iota(v,-1,2); var r[5] := {-1, 1, 3, 5, 7}; sum(v == r) == v[]", - "var v[5]; iota(v,-2,1); var r[5] := {-2,-1, 0, 1, 2}; sum(v == r) == v[]", - "var v[5]; iota(v,-2,2); var r[5] := {-2, 0, 2, 4, 6}; sum(v == r) == v[]", - "var v[5]; iota(v, 0); var r[5] := { 0, 1, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 1); var r[5] := { 1, 2, 3, 4, 5}; sum(v == r) == v[]", - "var v[5]; iota(v,-1); var r[5] := {-1, 0, 1, 2, 3}; sum(v == r) == v[]", - "var v[5]; iota(v,-2); var r[5] := {-2,-1, 0, 1, 2}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, 0); var r[5] := { 0, 0, 0, 0, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 1, 0); var r[5] := { 1, 1, 1, 1, 1}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0, v[] - 1, 0,1); var r[5] := { 0, 1, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 0,2); var r[5] := { 0, 2, 4, 6, 8}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 1,1); var r[5] := { 1, 2, 3, 4, 5}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 1,2); var r[5] := { 1, 3, 5, 7, 9}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-1,1); var r[5] := {-1, 0, 1, 2, 3}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-1,2); var r[5] := {-1, 1, 3, 5, 7}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-2,1); var r[5] := {-2,-1, 0, 1, 2}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-2,2); var r[5] := {-2, 0, 2, 4, 6}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 0 ); var r[5] := { 0, 1, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 1 ); var r[5] := { 1, 2, 3, 4, 5}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-1 ); var r[5] := {-1, 0, 1, 2, 3}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1,-2 ); var r[5] := {-2,-1, 0, 1, 2}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 0,0); var r[5] := { 0, 0, 0, 0, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 1, 1,0); var r[5] := { 1, 1, 1, 1, 1}; sum(v == r) == v[]", - - "var v[5]; iota(v, 1, v[] - 1, 0,1); var r[5] := { 0, 0, 1, 2, 3 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1, 0,2); var r[5] := { 0, 0, 2, 4, 6 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1, 1,1); var r[5] := { 0, 1, 2, 3, 4 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1, 1,2); var r[5] := { 0, 1, 3, 5, 7 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-1,1); var r[5] := { 0, -1, 0, 1, 2 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-1,2); var r[5] := { 0, -1, 1, 3, 5 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-2,1); var r[5] := { 0, -2,-1, 0, 1 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-2,2); var r[5] := { 0, -2, 0, 2, 4 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1, 0 ); var r[5] := { 0, 0, 1, 2, 3 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1, 1 ); var r[5] := { 0, 1, 2, 3, 4 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-1 ); var r[5] := { 0, -1, 0, 1, 2 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 1,-2 ); var r[5] := { 0, -2,-1, 0, 1 }; sum(v == r) == v[]", - - "var v[5]; iota(v, 1, v[] - 2, 0,1); var r[5] := { 0, 0, 1, 2, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2, 0,2); var r[5] := { 0, 0, 2, 4, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2, 1,1); var r[5] := { 0, 1, 2, 3, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2, 1,2); var r[5] := { 0, 1, 3, 5, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-1,1); var r[5] := { 0, -1, 0, 1, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-1,2); var r[5] := { 0, -1, 1, 3, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-2,1); var r[5] := { 0, -2,-1, 0, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-2,2); var r[5] := { 0, -2, 0, 2, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2, 0 ); var r[5] := { 0, 0, 1, 2, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2, 1 ); var r[5] := { 0, 1, 2, 3, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-1 ); var r[5] := { 0, -1, 0, 1, 0 }; sum(v == r) == v[]", - "var v[5]; iota(v, 1, v[] - 2,-2 ); var r[5] := { 0, -2,-1, 0, 0 }; sum(v == r) == v[]", - - "var v[5]; iota(v, 0, v[] - 2, 0,1); var r[5] := { 0, 1, 2, 3, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2, 0,2); var r[5] := { 0, 2, 4, 6, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2, 1,1); var r[5] := { 1, 2, 3, 4, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2, 1,2); var r[5] := { 1, 3, 5, 7, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-1,1); var r[5] := {-1, 0, 1, 2, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-1,2); var r[5] := {-1, 1, 3, 5, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-2,1); var r[5] := {-2,-1, 0, 1, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-2,2); var r[5] := {-2, 0, 2, 4, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2, 0 ); var r[5] := { 0, 1, 2, 3, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2, 1 ); var r[5] := { 1, 2, 3, 4, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-1 ); var r[5] := {-1, 0, 1, 2, 0}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] - 2,-2 ); var r[5] := {-2,-1, 0, 1, 0}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0, -1); var r[5] := { 0, -1, -2, -3, -4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, -2); var r[5] := { 0, -2, -4, -6, -8}; sum(v == r) == v[]", - "var v[5]; iota(v, -1, -2); var r[5] := { -1, -3, -5, -7, -9}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0, v[] -1, 0, -1); var r[5] := { 0, -1, -2, -3, -4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] -1, 0, -2); var r[5] := { 0, -2, -4, -6, -8}; sum(v == r) == v[]", - "var v[5]; iota(v, 0, v[] -1, -1, -2); var r[5] := { -1, -3, -5, -7, -9}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0,1); threshold_below(v,2, 0) var r[5] := { 0, 0, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0,1); threshold_above(v,2, 0) var r[5] := { 0, 1, 2, 0, 0}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0,1); threshold_below(v,0,v[] - 1,2, 0) var r[5] := { 0, 0, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0,1); threshold_above(v,0,v[] - 1,2, 0) var r[5] := { 0, 1, 2, 0, 0}; sum(v == r) == v[]", - - "var v[5]; iota(v, 1,1); threshold_below(v,1,v[] - 1,2, 0) var r[5] := { 1, 2, 3, 4, 5}; sum(v == r) == v[]", - "var v[5]; iota(v, 1,1); threshold_above(v,1,v[] - 1,2, 0) var r[5] := { 1, 2, 0, 0, 0}; sum(v == r) == v[]", - - "var v[5]; iota(v, 0,1); threshold_below(v,0,v[] - 2,2, 0) var r[5] := { 0, 0, 2, 3, 4}; sum(v == r) == v[]", - "var v[5]; iota(v, 0,1); threshold_above(v,0,v[] - 2,2, 0) var r[5] := { 0, 1, 2, 0, 4}; sum(v == r) == v[]", - - " var a := 2; var x[3] := {1,2,3}; var y[3] := {1,2,3}; var r[3] := [0]; r := a * x + y; axpy(a,x,y); sum(y == r) == y[]", - " var a := 2; var b := 3; var x[3] := {1,2,3}; var y[3] := {1,2,3}; var r[3] := [0]; r := a * x + b * y; axpby(a,x,b,y); sum(y == r) == y[]", - - " var a := 2; var x[3] := {1,2,3}; var y[3] := {1,2,3}; var z[3] := [0]; var r[3] := [0]; r := a * x + y; axpyz(a,x,y,z); sum(z == r) == z[]", - " var a := 2; var b := 3; var x[3] := {1,2,3}; var y[3] := {1,2,3}; var z[3] := [0]; var r[3] := [0]; r := a * x + b * y; axpbyz(a,x,b,y,z); sum(z == r) == z[]", - " var a := 2; var b := 3; var x[3] := {1,2,3}; var z[3] := [0]; var r[3] := [0]; r := a * x + b; axpbz(a,x,b,z); sum(z == r) == z[]", - }; - - const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - parser_t parser; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expr_str_list[i], expression)) - { - printf("run_test18() - [14] Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - error_found = true; - - continue; - } - - const T result = expression.value(); - - if (result != T(1)) - { - printf("run_test18() - Error in evaluation! (11) Expression: %s\n", - expr_str_list[i].c_str()); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::expression expression_t; - - std::string a = "a"; - std::string b = "b"; - std::string c = "c"; - std::string d = "d"; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - T w = T(4.4); - - overload_func ovrld_func - ( - "T:T|T:TT|T:TTT|T:TTTT|" - "T:S|T:SS|T:SSS|T:SSSS|" - "T:ST|T:STS|T:STST|" - "T:TS|T:TST|T:TSTS|" - "T:TTSS|T:SSTT|T:STTS|T:TSST" - ); - - exprtk::symbol_table symbol_table; - - symbol_table.add_constants(); - symbol_table.add_variable ("x",x); - symbol_table.add_variable ("y",y); - symbol_table.add_variable ("z",z); - symbol_table.add_variable ("w",w); - - symbol_table.add_stringvar("a",a); - symbol_table.add_stringvar("b",b); - symbol_table.add_stringvar("c",c); - symbol_table.add_stringvar("d",d); - - symbol_table.add_function("foo",ovrld_func); - - typedef typename overload_func::test_result_t test_result_t; - typedef std::pair::test_result_t> test_pack_t; - - static const test_pack_t test_pack_list[] = - { - test_pack_t("foo(x)" , test_result_t( 0, "T" )), - test_pack_t("foo(x, y)" , test_result_t( 1, "TT" )), - test_pack_t("foo(x, y, z)" , test_result_t( 2, "TTT" )), - test_pack_t("foo(x, y, z, w)" , test_result_t( 3, "TTTT")), - test_pack_t("foo(x + y)" , test_result_t( 0, "T" )), - test_pack_t("foo(x + y, y + z)" , test_result_t( 1, "TT" )), - test_pack_t("foo(x + y, y + z, z + w)" , test_result_t( 2, "TTT" )), - test_pack_t("foo(x + y, y + z, z + w, w)" , test_result_t( 3, "TTTT")), - test_pack_t("foo(a)" , test_result_t( 4, "S" )), - test_pack_t("foo(a, b)" , test_result_t( 5, "SS" )), - test_pack_t("foo(a, b, c)" , test_result_t( 6, "SSS" )), - test_pack_t("foo(a, b, c, d)" , test_result_t( 7, "SSSS")), - test_pack_t("foo(a + b)" , test_result_t( 4, "S" )), - test_pack_t("foo(a + b, b + c)" , test_result_t( 5, "SS" )), - test_pack_t("foo(a + b, b + c, c + d)" , test_result_t( 6, "SSS" )), - test_pack_t("foo(a + b, b + c, c + d, d)" , test_result_t( 7, "SSSS")), - test_pack_t("foo(a, x)" , test_result_t( 8, "ST" )), - test_pack_t("foo(a, x, b)" , test_result_t( 9, "STS" )), - test_pack_t("foo(a, x, b, y)" , test_result_t(10, "STST")), - test_pack_t("foo(a + b, x + y)" , test_result_t( 8, "ST" )), - test_pack_t("foo(a + b, x + y, b + c)" , test_result_t( 9, "STS" )), - test_pack_t("foo(a + b, x + y, b + c, y + z)" , test_result_t(10, "STST")), - test_pack_t("foo(x, a)" , test_result_t(11, "TS" )), - test_pack_t("foo(x, a, y)" , test_result_t(12, "TST" )), - test_pack_t("foo(x, a, y, b)" , test_result_t(13, "TSTS")), - test_pack_t("foo(x + y, a + b)" , test_result_t(11, "TS" )), - test_pack_t("foo(x + y, a + b, y + z)" , test_result_t(12, "TST" )), - test_pack_t("foo(x + y, a + b, y + z, b + c)" , test_result_t(13, "TSTS")), - test_pack_t("foo(x, y, a, b)" , test_result_t(14, "TTSS")), - test_pack_t("foo(a, b, x, y)" , test_result_t(15, "SSTT")), - test_pack_t("foo(a, x, y, b)" , test_result_t(16, "STTS")), - test_pack_t("foo(x, a, b, y)" , test_result_t(17, "TSST")), - test_pack_t("foo(x + y, y + z, a + b, b + c)" , test_result_t(14, "TTSS")), - test_pack_t("foo(a + b, b + c, x + y, y + z)" , test_result_t(15, "SSTT")), - test_pack_t("foo(a + b, x + y, y + z, b + c)" , test_result_t(16, "STTS")), - test_pack_t("foo(x + y, a + b, b + c, y + z)" , test_result_t(17, "TSST")) - }; - - static const std::size_t test_pack_list_size = sizeof(test_pack_list) / sizeof(test_pack_t); - - std::deque expression_list; - - for (std::size_t i = 0; i < test_pack_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(test_pack_list[i].first, expression)) - { - printf("run_test18() - [15] Overload VarArg Error: %s Expression: %s\n", - parser.error().c_str(), - test_pack_list[i].first.c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - ovrld_func.clear(); - - if (T(1) != expression_list[i].value()) - { - printf("run_test18() - Error in evaluation! (12) Expression: %s\n", - test_pack_list[i].first.c_str()); - - error_found = true; - } - - if (ovrld_func.current_ps_index != test_pack_list[i].second.ps_index) - { - printf("run_test18() - Error with ps_index (12) Expression: %s Expected: %d Got: %d\n", - test_pack_list[i].first.c_str(), - static_cast(test_pack_list[i].second.ps_index), - static_cast(ovrld_func.current_ps_index)); - - error_found = true; - } - - if (ovrld_func.current_param_seq != test_pack_list[i].second.param_seq) - { - printf("run_test18() - Error with parameter seq (12) Expression: %s Expected: %s Got: %s\n", - test_pack_list[i].first.c_str(), - test_pack_list[i].second.param_seq.c_str(), - ovrld_func.current_param_seq.c_str()); - - error_found = true; - } - ::fflush(stdout); - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::expression expression_t; - - std::string a = "a"; - std::string b = "b"; - std::string c = "c"; - std::string d = "d"; - std::string result = ""; - - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - T w = T(4.4); - - overload_func ovrld_func - ( - "S:T|S:TT|S:TTT|S:TTTT|" - "S:S|S:SS|S:SSS|S:SSSS|" - "S:ST|S:STS|S:STST|" - "S:TS|S:TST|S:TSTS|" - "S:TTSS|S:SSTT|S:STTS|S:TSST" - ); - - exprtk::symbol_table symbol_table; - - symbol_table.add_constants(); - symbol_table.add_variable ("x",x); - symbol_table.add_variable ("y",y); - symbol_table.add_variable ("z",z); - symbol_table.add_variable ("w",w); - - symbol_table.add_stringvar("a",a); - symbol_table.add_stringvar("b",b); - symbol_table.add_stringvar("c",c); - symbol_table.add_stringvar("d",d); - symbol_table.add_stringvar("result",result); - - symbol_table.add_function("foo",ovrld_func); - - typedef typename overload_func::test_result_t test_result_t; - typedef std::pair::test_result_t> test_pack_t; - - static const test_pack_t test_pack_list[] = - { - test_pack_t("result := foo(x)" , test_result_t( 0, "T" )), - test_pack_t("result := foo(x, y)" , test_result_t( 1, "TT" )), - test_pack_t("result := foo(x, y, z)" , test_result_t( 2, "TTT" )), - test_pack_t("result := foo(x, y, z, w)" , test_result_t( 3, "TTTT")), - test_pack_t("result := foo(x + y)" , test_result_t( 0, "T" )), - test_pack_t("result := foo(x + y, y + z)" , test_result_t( 1, "TT" )), - test_pack_t("result := foo(x + y, y + z, z + w)" , test_result_t( 2, "TTT" )), - test_pack_t("result := foo(x + y, y + z, z + w, w)" , test_result_t( 3, "TTTT")), - test_pack_t("result := foo(a)" , test_result_t( 4, "S" )), - test_pack_t("result := foo(a, b)" , test_result_t( 5, "SS" )), - test_pack_t("result := foo(a, b, c)" , test_result_t( 6, "SSS" )), - test_pack_t("result := foo(a, b, c, d)" , test_result_t( 7, "SSSS")), - test_pack_t("result := foo(a + b)" , test_result_t( 4, "S" )), - test_pack_t("result := foo(a + b, b + c)" , test_result_t( 5, "SS" )), - test_pack_t("result := foo(a + b, b + c, c + d)" , test_result_t( 6, "SSS" )), - test_pack_t("result := foo(a + b, b + c, c + d, d)" , test_result_t( 7, "SSSS")), - test_pack_t("result := foo(a, x)" , test_result_t( 8, "ST" )), - test_pack_t("result := foo(a, x, b)" , test_result_t( 9, "STS" )), - test_pack_t("result := foo(a, x, b, y)" , test_result_t(10, "STST")), - test_pack_t("result := foo(a + b, x + y)" , test_result_t( 8, "ST" )), - test_pack_t("result := foo(a + b, x + y, b + c)" , test_result_t( 9, "STS" )), - test_pack_t("result := foo(a + b, x + y, b + c, y + z)" , test_result_t(10, "STST")), - test_pack_t("result := foo(x, a)" , test_result_t(11, "TS" )), - test_pack_t("result := foo(x, a, y)" , test_result_t(12, "TST" )), - test_pack_t("result := foo(x, a, y, b)" , test_result_t(13, "TSTS")), - test_pack_t("result := foo(x + y, a + b)" , test_result_t(11, "TS" )), - test_pack_t("result := foo(x + y, a + b, y + z)" , test_result_t(12, "TST" )), - test_pack_t("result := foo(x + y, a + b, y + z, b + c)" , test_result_t(13, "TSTS")), - test_pack_t("result := foo(x, y, a, b)" , test_result_t(14, "TTSS")), - test_pack_t("result := foo(a, b, x, y)" , test_result_t(15, "SSTT")), - test_pack_t("result := foo(a, x, y, b)" , test_result_t(16, "STTS")), - test_pack_t("result := foo(x, a, b, y)" , test_result_t(17, "TSST")), - test_pack_t("result := foo(x + y, y + z, a + b, b + c)" , test_result_t(14, "TTSS")), - test_pack_t("result := foo(a + b, b + c, x + y, y + z)" , test_result_t(15, "SSTT")), - test_pack_t("result := foo(a + b, x + y, y + z, b + c)" , test_result_t(16, "STTS")), - test_pack_t("result := foo(x + y, a + b, b + c, y + z)" , test_result_t(17, "TSST")) - }; - - static const std::size_t test_pack_list_size = sizeof(test_pack_list) / sizeof(test_pack_t); - - std::deque expression_list; - - for (std::size_t i = 0; i < test_pack_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - exprtk::parser parser; - - if (!parser.compile(test_pack_list[i].first, expression)) - { - printf("run_test18() - [16] Overload VarArg Error: %s Expression: %s\n", - parser.error().c_str(), - test_pack_list[i].first.c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - ovrld_func.clear(); - result = ""; - expression_list[i].value(); - - if (result != "string result") - { - printf("run_test18() - Error in evaluation! (13) Expression: %s\n", - test_pack_list[i].first.c_str()); - - error_found = true; - } - - if (ovrld_func.current_ps_index != test_pack_list[i].second.ps_index) - { - printf("run_test18() - Error with ps_index (13) Expression: %s Expected: %d Got: %d\n", - test_pack_list[i].first.c_str(), - static_cast(test_pack_list[i].second.ps_index), - static_cast(ovrld_func.current_ps_index)); - - error_found = true; - } - - if (ovrld_func.current_param_seq != test_pack_list[i].second.param_seq) - { - printf("run_test18() - Error with parameter seq (13) Expression: %s Expected: %s Got: %s\n", - test_pack_list[i].first.c_str(), - test_pack_list[i].second.param_seq.c_str(), - ovrld_func.current_param_seq.c_str()); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - typedef std::pair rtc_test_t; - static const rtc_test_t rtc_tests[] = - { - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i + v[]]; } ", 5 ), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i + 10]; } ", 5 ), - std::make_pair(" x:= 0; for (var i := 0; i < (2 * v[]); i += 1) { x += (v[i] == vv[i]); } ", 10), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i + v[]] := i; } ", 5 ), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i + v[]] <=> v[i]; } ", 5 ), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i] <=> v[i + v[]]; } ", 10), - std::make_pair(" var z[5] := [1]; for (var i := 0; i < z[]; i += 1) { z[i + z[]]; } ", 5 ), - std::make_pair(" var z[5] := [1]; for (var i := 0; i < z[]; i += 1) { z[i + 10]; } ", 5 ), - std::make_pair(" var z[5] := [1]; for (var i := 0; i < z[]; i += 1) { z[i + z[]] := i; } ", 5 ), - std::make_pair(" var z[5] := [1]; for (var i := 0; i < z[]; i += 1) { z[i + z[]] <=> z[i]; } ", 5 ), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v*w)[i + v[]]; } ", 10), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v*w)[i+w[]]; } ", 10), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v+w)[i + v[]]; } ", 10), - std::make_pair(" for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v+w)[i+w[]]; } ", 10), - std::make_pair(" var z[4] := [1]; for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v*z)[i+v[]]; } ", 10), - std::make_pair(" var z[4] := [1]; for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v*z)[i+w[]]; } ", 9 ), - std::make_pair(" var z[4] := [1]; for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v+z)[i+v[]]; } ", 10), - std::make_pair(" var z[4] := [1]; for (var i := 0; i < v[]; i += 1) { v[i+v[]] := (v+z)[i+z[]]; } ", 10), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; qq[i[0]] += xx ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[1] + xx) == (xx + qq[1])) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[0] += xx) == xx) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[0] += xx + yy) == (xx + yy)) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[0] -= xx) == -xx) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[0] -= (xx + yy)) == -(xx + yy)) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[1] + qq[2]) == (qq[3 - 1] + qq[2 * 1/2]))", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; (qq[qq[1]] == qq[1]) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; (qq[1] += qq[1]) == qq[1 + 1] ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[1]] + xx) == (xx + qq[i[1]])) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[0]] += xx) == xx) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[0]] += xx + yy) == (xx + yy)) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[0]] -= xx) == -xx) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[0]] -= (xx + yy)) == -(xx + yy))", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; ((qq[i[1]] + qq[2]) == (qq[i[3] - i[1]] + qq[i[2] * 1/2]))", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; (qq[qq[i[1]]] == qq[i[1]]) ", 0 ), - std::make_pair(" var xx := 1; var yy := 1; var qq[5] := {0,1,2,3,4}; var i[5] := {0,1,2,3,4}; (qq[i[1]] += qq[i[1]]) == qq[i[1] + 1] ", 0 ), - }; - - static const std::size_t rtc_tests_size = sizeof(rtc_tests) / sizeof(rtc_test_t); - - bool error_found = false; - - for (std::size_t i = 0; i < rtc_tests_size; ++i) - { - const std::string& expression_str = rtc_tests[i].first; - - { - T x = 6; - T v[5] = { 0, 1, 2, 3, 4 }; - T w[3] = { 0, 1, 2 }; - exprtk::vector_view vv = exprtk::make_vector_view(v, 5); - exprtk::vector_view ww = exprtk::make_vector_view(w, 3); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable("x" , x ); - symbol_table.add_vector ("v" , v ); - symbol_table.add_vector ("w" , w ); - symbol_table.add_vector ("vv", vv); - symbol_table.add_vector ("ww", ww); - - vector_access_rtc_counter vartc; - - expression.register_symbol_table(symbol_table); - - parser.register_vector_access_runtime_check(vartc); - - if (!parser.compile(expression_str, expression)) - { - printf("run_test18() - Error: %s\t [1] Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - error_found = true; - return false; - } - - vartc.rtc_count = 0; - expression.value(); - - if (vartc.rtc_count != rtc_tests[i].second) - { - printf("run_test18() - Expected rtc_count: %d got rtc_count: %d [0] Expression: %s\n", - static_cast(rtc_tests[i].second), - static_cast(vartc.rtc_count), - expression_str.c_str()); - error_found = true; - } - } - - { - T x = 6; - T v[5] = { 0, 1, 2, 3, 4 }; - T w[3] = { 0, 1, 2 }; - T v0[5] = { 0, 1, 2, 3, 4 }; - T v1[5] = { 0, 1, 2, 3, 4 }; - exprtk::vector_view vv = exprtk::make_vector_view(v, 5); - exprtk::vector_view ww = exprtk::make_vector_view(w, 3); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable("x" , x ); - symbol_table.add_vector ("v" , v ); - symbol_table.add_vector ("w" , w ); - symbol_table.add_vector ("vv", vv); - symbol_table.add_vector ("ww", ww); - - vector_access_rtc_counter vartc; - - expression.register_symbol_table(symbol_table); - - parser.register_vector_access_runtime_check(vartc); - - if (!parser.compile(expression_str, expression)) - { - printf("run_test18() - Error: %s\t [2] Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - error_found = true; - return false; - } - - vartc.rtc_count = 0; - vv.rebase(v0); - expression.value(); - - if (vartc.rtc_count != rtc_tests[i].second) - { - printf("run_test18() - Expected rtc_count: %d got rtc_count: %d [1] Expression: %s\n", - static_cast(rtc_tests[i].second), - static_cast(vartc.rtc_count), - expression_str.c_str()); - error_found = true; - } - - vartc.rtc_count = 0; - vv.rebase(v1); - expression.value(); - - if (vartc.rtc_count != rtc_tests[i].second) - { - printf("run_test18() - Expected rtc_count: %d got rtc_count: %d [2] Expression: %s\n", - static_cast(rtc_tests[i].second), - static_cast(vartc.rtc_count), - expression_str.c_str()); - error_found = true; - } - } - } - - if (error_found) - { - return false; - } - } - - return true; -} - -template -struct depth_to_str exprtk_test_final : public exprtk::igeneric_function -{ - typedef exprtk::igeneric_function igenfunct_t; - typedef typename igenfunct_t::generic_type generic_t; - typedef typename igenfunct_t::parameter_list_t parameter_list_t; - typedef typename generic_t::scalar_view scalar_t; - - depth_to_str() - : exprtk::igeneric_function("T",igenfunct_t::e_rtrn_string) - {} - - using igenfunct_t::operator(); - - inline T operator()(std::string& result, - parameter_list_t parameters) exprtk_test_override - { - - result = "depth" + exprtk::details::to_str(static_cast(scalar_t(parameters[0])())); - return T(0); - } -}; - -template -bool run_test19() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - { - T x = T(123.123); - - compositor_t compositor; - - // f(x) = x + 2 - compositor.add(function_t("f", "x + 2", "x")); - - // g(x) = x^2-3 - compositor.add(function_t("g", "x^2 - 3", "x")); - - // fof(x) = f(f(x)) - compositor.add(function_t("fof", "f(f(x))", "x")); - - // gog(x) = g(g(x)) - compositor.add(function_t("gog", "g(g(x))", "x")); - - // fog(x) = f(g(x)) - compositor.add(function_t("fog", "f(g(x))", "x")); - - // gof(x) = g(f(x)) - compositor.add(function_t("gof", "g(f(x))", "x")); - - // fogof(x) = f(g(f(x))) - compositor.add(function_t("fogof", "f(g(f(x)))", "x")); - - // gofog(x) = g(f(g(x))) - compositor.add(function_t("gofog", "g(f(g(x)))", "x")); - - symbol_table_t& symbol_table = compositor.symbol_table(); - symbol_table.add_constants(); - symbol_table.add_variable("x", x); - - static const std::string expr_str_list[] = - { - "equal(f(x),(x + 2))", - "equal(g(x),(x^2 - 3))", - "equal(fof(x),(x + 4))", - "equal(gog(x),(x^4 - 6x^2 + 6))", - "equal(fog(x),(x^2 - 1))", - "equal(gof(x),(x^2 + 4x + 1))", - "equal(fogof(x),(x^2 + 4x + 3))", - "equal(gofog(x),(x^4 - 2x^2 - 2))" - }; - static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - std::deque expression_list; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expr_str_list[i], expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list.size(); ++i) - { - if (T(1) != expression_list[i].value()) - { - printf("run_test19() - Error in evaluation! (1) Expression: %s\n", - expr_str_list[i].c_str()); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - const std::size_t rounds = 100; - - for (std::size_t r = 0; r < rounds; ++r) - { - T x = T(1); - T y = T(2); - T z = T(3); - T w = T(4); - T u = T(5); - T v = T(6); - - compositor_t compositor; - - // f0() = 6 - compositor - .add( - function_t("f0") - .expression("3 * 2")); - - // f1(x) = 5 * (f0 + x) - compositor - .add( - function_t("f1") - .var("x") - .expression("5 * (f0 + x)")); - - // f2(x,y) = 7 * (f1(x) + f1(y)) - compositor - .add( - function_t("f2") - .var("x").var("y") - .expression("7 * (f1(x) + f1(y))")); - - // f3(x,y,z) = 9 * (f2(x,y) + f2(y,z) + f2(x,z)) - compositor - .add( - function_t("f3") - .var("x").var("y").var("z") - .expression("9 * (f2(x,y) + f2(y,z) + f2(x,z))")); - - // f4(x,y,z,w) = 11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,z)) - compositor - .add( - function_t("f4") - .var("x").var("y").var("z").var("w") - .expression("11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,x))")); - - // f5(x,y,z,w,u) = 13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y)) - compositor - .add( - function_t("f5") - .var("x").var("y").var("z").var("w").var("u") - .expression("13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y))")); - - // f6(x,y,z,w,u,v) = 17 * (f5(x,y,z,w,u) + f5(y,z,w,u,v) + f5(z,w,u,v,x) + f5(w,u,v,x,y)) - compositor - .add( - function_t("f6") - .var("x").var("y").var("z") - .var("w").var("u").var("v") - .expression("17 * (f5(x,y,z,w,u) + f5(y,z,w,u,v) + f5(z,w,u,v,x) + f5(w,u,v,x,y))")); - - symbol_table_t& symbol_table = compositor.symbol_table(); - symbol_table.add_constants(); - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - symbol_table.add_variable("z", z); - symbol_table.add_variable("w", w); - symbol_table.add_variable("u", u); - symbol_table.add_variable("v", v); - - parser_t parser; - - const std::string expr_str_list[] = - { - "f0()", - "f1(x)", - "f2(x,x)", - "f3(x,x,x)", - "f4(x,x,x,x)", - "f5(x,x,x,x,x)", - "f6(x,x,x,x,x,x)", - "f2(x,y)", - "f3(x,y,z)", - "f4(x,y,z,w)", - "f5(x,y,z,w,u)", - "f6(x,y,z,w,u,v)" - }; - - const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); - - const T result_list[] = - { - T(6), - T(35), - T(490), - T(13230), - T(436590), - T(22702680), - T(1543782240), - T(525), - T(15120), - T(533610), - T(29459430), - T(2122700580) - }; - - bool error_found = false; - - for (std::size_t i = 0; i < expr_str_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expr_str_list[i], expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str_list[i].c_str()); - - error_found = true; - continue; - } - - const T result = expression.value(); - - if (result_list[i] != result) - { - printf("run_test19() - Error in evaluation! (2) Expression: %s Expected: %10.1f\tResult: %10.1f\n", - expr_str_list[i].c_str(), - result_list[i], - result); - - error_found = true; - continue; - } - } - - if (error_found) - { - return false; - } - } - } - - { - T x = T(0); - - compositor_t compositor; - - compositor - .add( - function_t( - "is_prime_impl1", - "if (y == 1,true, " - " if (0 == (x % y),false, " - " is_prime_impl1(x,y - 1))) ", - "x","y")); - - compositor - .add( - function_t( - "is_prime1", - "if (frac(x) != 0, false, " - " if (x <= 0, false, " - " is_prime_impl1(x,min(x - 1,trunc(sqrt(x)) + 1)))) ", - "x")); - - compositor - .add( - function_t( - "is_prime_impl2", - "switch " - "{ " - " case y == 1 : true; " - " case (x % y) == 0 : false; " - " default : is_prime_impl2(x,y - 1);" - "} ", - "x","y")); - - compositor - .add( - function_t( - "is_prime2", - "switch " - "{ " - " case x <= 0 : false; " - " case frac(x) != 0 : false; " - " default : is_prime_impl2(x,min(x - 1,trunc(sqrt(x)) + 1));" - "} ", - "x")); - - compositor - .add( - function_t( - "is_prime_impl3", - "while (y > 0) " - "{ " - " switch " - " { " - " case y == 1 : ~(y := 0, true);" - " case (x % y) == 0 : ~(y := 0,false);" - " default : y := y - 1; " - " } " - "} ", - "x","y")); - - compositor - .add( - function_t( - "is_prime3", - "switch " - "{ " - " case x <= 0 : false; " - " case frac(x) != 0 : false; " - " default : is_prime_impl3(x,min(x - 1,trunc(sqrt(x)) + 1));" - "} ", - "x")); - - compositor - .add( - function_t( - "is_prime_impl4", - "switch " - "{ " - " case 1 == x : false; " - " case 2 == x : true; " - " case 3 == x : true; " - " case 5 == x : true; " - " case 7 == x : true; " - " case 0 == x % 2 : false; " - " default : " - " { " - " for (var i := 3; i < y; i += 2) " - " { " - " if ((x % i) == 0) " - " break[false]; " - " else " - " true; " - " } " - " }; " - "} ", - "x","y")); - - compositor - .add( - function_t( - "is_prime4", - "switch " - "{ " - " case x <= 0 : false; " - " case frac(x) != 0 : false; " - " default : is_prime_impl4(x,min(x - 1,trunc(sqrt(x)) + 1));" - "} ", - "x")); - - symbol_table_t& symbol_table = compositor.symbol_table(); - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - const std::string expression_str[] = - { - "is_prime1(x)", - "is_prime2(x)", - "is_prime3(x)", - "is_prime4(x)" - }; - - const std::size_t expression_count = sizeof(expression_str) / sizeof(std::string); - - std::vector expression_list; - - for (std::size_t i = 0; i < expression_count; ++i) - { - parser_t parser; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expression_str[i],expression)) - { - printf("run_test19() - Error: %s Expression%d: %s\n", - parser.error().c_str(), - static_cast(i), - expression_str[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - const std::size_t prime_list[] = - { - 2, 3, 5, 7, 11, 13, 17, 19, - 877, 947, 1087, 1153, 1229, 1297, 1381, 1453, - 1523, 1597, 1663, 1741, 1823, 1901, 1993, 2063, - 2131, 2221, 2293, 2371, 2437, 2539, 2621, 2689, - 2749, 2833, 2909, 3001, 3083, 3187, 3259, 3343, - 3433, 3517, 3581, 3659, 3733, 3823, 3911, 4001, - 4073, 4153, 4241, 4327, 4421, 4507, 4591, 4663, - 4759, 4861, 4943, 5009, 5099, 5189, 5281, 5393, - 5449, 5527, 5641, 5701, 5801, 5861, 5953, 6067, - 6143, 6229, 6311, 6373, 6481, 6577, 6679, 6763, - 6841, 6947, 7001, 7109, 7211, 7307, 7417, 7507, - 104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, - 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, - 104513, 104527, 104537, 104543, 104549, 104551, 104561, 104579, - 104593, 104597, 104623, 104639, 104651, 104659, 104677, 104681, - 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, - 1000621, 1000639, 1000651, 1000667, 1000669, 1001023, 1001027, 1001041 - }; - - const std::size_t prime_list_size = sizeof(prime_list) / sizeof(std::size_t); - - for (std::size_t i = 0; (i < prime_list_size) && (!error_found); ++i) - { - x = static_cast(prime_list[i]); - - std::vector result(expression_count,T(0)); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - result[j] = expression_list[j].value(); - } - - for (std::size_t j = 1; j < expression_list.size(); ++j) - { - if (result[j] != result[0]) - { - error_found = true; - break; - } - } - - if (error_found) - { - printf("run_test19() - Error in evaluation! (3) Results don't match! Prime: %d\n", - static_cast(prime_list[i])); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - printf("Expression[%02d]: %s = %d\n", - static_cast(j), - expression_str[j].c_str(), - static_cast(result[j])); - } - } - else if (T(1) != expression_list[0].value()) - { - printf("run_test19() - Error in evaluation! (4) Results don't match! Prime: %d\n", - static_cast(prime_list[i])); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - printf("Expression[%02d]: %s = %d\n", - static_cast(j), - expression_str[j].c_str(), - static_cast(result[j])); - } - } - } - - if (error_found) - { - return false; - } - } - - { - T x = T(0); - - compositor_t compositor; - - compositor - .add( - function_t( - "fibonacci1", - "if (x == 0,0, " - " if (x == 1,1, " - " fibonacci1(x - 1) + fibonacci1(x - 2)))", - "x")); - - compositor - .add( - function_t( - "fibonacci2", - "switch " - "{ " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default : fibonacci2(x - 1) + fibonacci2(x - 2);" - "} ", - "x")); - - compositor - .add( - function_t( - "fibonacci_impl3", - "switch " - "{ " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default : " - " while ((x := (x - 1)) > 0) " - " { " - " w := z; " - " z := z + y; " - " y := w; " - " z " - " }; " - "} ", - "x","y","z","w")); - - compositor - .add( - function_t( - "fibonacci3", - "fibonacci_impl3(x,0,1,0)", - "x")); - - compositor - .add( - function_t( - "fibonacci_impl4", - "switch " - "{ " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default : " - " repeat " - " w := z; " - " z := z + y; " - " y := w; " - " x := x - 1; " - " z " - " until (x <= 1); " - "} ", - "x","y","z","w")); - - compositor - .add( - function_t( - "fibonacci4", - "fibonacci_impl4(x,0,1,0)", - "x")); - - compositor - .add( - function_t( - "fibonacci5", - "if ((x == 0) or (x == 1)) " - " x; " - "else " - " fibonacci5(x - 1) + fibonacci5(x - 2); ", - "x")); - - symbol_table_t& symbol_table = compositor.symbol_table(); - - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - const std::string expression_str[] = - { - "fibonacci1(x)", - "fibonacci2(x)", - "fibonacci3(x)", - "fibonacci4(x)", - "fibonacci5(x)" - }; - - const std::size_t expression_count = sizeof(expression_str) / sizeof(std::string); - - std::vector expression_list; - - for (std::size_t i = 0; i < expression_count; ++i) - { - parser_t parser; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expression_str[i],expression)) - { - printf("run_test19() - Error: %s Expression[%02d]: %s\n", - parser.error().c_str(), - static_cast(i), - expression_str[i].c_str()); - - return false; - } - else - expression_list.push_back(expression); - } - - bool error_found = false; - - const std::size_t fibonacci_list[] = - { - 0, 1, 1, 2, - 3, 5, 8, 13, - 21, 34, 55, 89, - 144, 233, 377, 610, - 987, 1597, 2584, 4181, - 6765, 10946, 17711, 28657, - 46368, 75025, 121393, 196418, - 317811, 514229, 832040, 1346269 - }; - - const std::size_t fibonacci_list_size = sizeof(fibonacci_list) / sizeof(std::size_t); - - for (std::size_t i = 0; (i < fibonacci_list_size) && (!error_found); ++i) - { - x = static_cast(i); - - std::vector result(expression_count,T(0)); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - result[j] = expression_list[j].value(); - } - - for (std::size_t j = 1; j < expression_list.size(); ++j) - { - if (result[j] != result[0]) - { - error_found = true; - break; - } - } - - if (error_found) - { - printf("run_test19() - Error in evaluation! (5) Results don't match! fibonacci(%d) = %d\n", - static_cast(i), - static_cast(fibonacci_list[i])); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - printf("Expression[%02d]: %s = %d\n", - static_cast(j), - expression_str[j].c_str(), - static_cast(result[j])); - } - } - else if (fibonacci_list[i] != expression_list[0].value()) - { - printf("run_test19() - Error in evaluation! (6) Results don't match! fibonacci(%d) = %d\n", - static_cast(i), - static_cast(fibonacci_list[i])); - - for (std::size_t j = 0; j < expression_list.size(); ++j) - { - printf("Expression[%02d]: %s = %d\n", - static_cast(j), - expression_str[j].c_str(), - static_cast(result[j])); - } - } - } - - if (error_found) - { - return false; - } - } - - { - T x = T(0); - - symbol_table_t symbol_table; - - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - - compositor_t compositor(symbol_table); - - compositor - .add( - function_t( - "newton_sqrt_impl", - "switch " - "{ " - " case x < 0 : -inf; " - " case x == 0 : 0; " - " case x == 1 : 1; " - " default: " - " ~{ " - " z := 100; " - " y := x / 2; " - " repeat " - " y := (1 / 2) * (y + (x / y)); " - " if (equal(y * y,x)) " - " break[y]; " - " until ((z -= 1) <= 0); " - " }; " - "} ", - "x","y","z")); - - compositor - .add( - function_t( - "newton_sqrt", - "newton_sqrt_impl(x,0,0)","x")); - - std::string expression_str = "newton_sqrt(x)"; - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - return false; - } - - bool error_found = false; - - for (std::size_t i = 0; i < 100; ++i) - { - x = static_cast(i); - - const T result = expression.value(); - - if (not_equal(result, std::sqrt(x), T(0.0000001))) - { - printf("run_test19() - Computation Error " - "Expression: [%s]\tExpected: %12.8f\tResult: %12.8f\n", - expression_str.c_str(), - static_cast(std::sqrt(x)), - static_cast(result)); - - error_found = true; - } - } - - if (error_found) - { - return false; - } - } - - { - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - compositor_t compositor(symbol_table); - - compositor - .add( - function_t( - "mandelbrot", - " var width := 118; " - " var height := 41; " - " var imag_max := +1; " - " var imag_min := -1; " - " var real_max := +1; " - " var real_min := -2.5; " - " var x_step := (real_max - real_min) / width; " - " var y_step := (imag_max - imag_min) / height; " - " for (var y := 0; y < height; y += 1) " - " { " - " var imag := imag_min + (y_step * y); " - " for (var x := 0; x < width; x += 1) " - " { " - " var real := real_min + x_step * x; " - " var z_real := real; " - " var z_imag := imag; " - " var plot_value; " - " for (var n := 0; n < 30; n += 1) " - " { " - " var a := z_real^2; " - " var b := z_imag^2; " - " plot_value := n; " - " if ((a + b) < 4) " - " { " - " z_imag := 2 * z_real * z_imag + imag; " - " z_real := a - b + real; " - " } " - " else " - " break; " - " }; " - " }; " - " } ")); - - std::string expression_str = "mandelbrot()"; - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - return false; - } - - for (std::size_t i = 0; i < 100; ++i) - { - expression.value(); - } - } - - { - T x = T(0); - - symbol_table_t symbol_table; - - symbol_table.add_variable("x",x); - - compositor_t compositor(symbol_table); - - compositor - .add( - function_t( - "fooboo", - " var x := input; " - " if (x > 0) " - " fooboo(x - 1) + x; " - " else " - " 0; ", - "input")); - - std::string expression_str = "fOoBoO(x)"; - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_str,expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - - return false; - } - - T sum = T(0); - - for (std::size_t i = 0; i < 100; ++i) - { - x = T(i); - - sum += x; - - const T result = expression.value(); - - if (result != sum) - { - printf("run_test19() - FooBoo(%5.2f) Expected: %5.2f\tResult: %5.2f\n", - x, - sum, - result); - - return false; - } - } - } - - { - const std::pair test_funcprog[] = - { - std::make_pair - ( - " var s := depth_to_str(depth); " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " s == depth_to_str(depth); ", - - " recursive(1000) " - ), - - std::make_pair - ( - " var v[7] := [ depth ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " return [sum(v == depth) == v[]]; ", - - " recursive(1000) " - ), - - std::make_pair - ( - " var v1[ 7] := [ depth ]; " - " var v2[21] := [ depth ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " (sum(v1 == depth) == v1[]) and " - " (sum(v2 == depth) == v2[]) ; " - " ", - - " recursive(1000) " - ), - - std::make_pair - ( - " var s := depth_to_str(depth); " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " }; " - " " - " s == depth_to_str(depth); ", - - " recursive(20) " - ), - - std::make_pair - ( - " var s := depth_to_str(depth); " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " for (var j := 0; j < 2; j += 1) " - " { " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " }; " - " }; " - " " - " s == depth_to_str(depth); ", - - " recursive(10) " - ), - - std::make_pair - ( - " var v[7] := [ depth ]; " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " var w[21] := [ depth + 1 ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " if (sum(w == (depth + 1)) != w[]) " - " { " - " return [false]; " - " }; " - " }; " - " " - " return [sum(v == depth) == v[]]; ", - - " recursive(5) " - ), - - std::make_pair - ( - " var v[7] := [ depth ]; " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " var u[21] := [ depth + 1 ]; " - " " - " for (var j := 0; j < 2; j += 1) " - " { " - " var w[35] := [ depth + 2 ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " if (sum(w == (depth + 2)) != w[]) " - " { " - " return [false]; " - " }; " - " }; " - " " - " if (sum(u == (depth + 1)) != u[]) " - " { " - " return [false]; " - " }; " - " }; " - " " - " return [sum(v == depth) == v[]]; ", - - " recursive(5) " - ), - - std::make_pair - ( - " var s := depth_to_str(depth); " - " var v[7] := [ depth ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " return " - " [ " - " (s == depth_to_str(depth)) and " - " (sum(v == depth) == v[]) " - " ]; ", - - " recursive(1000) " - ), - - std::make_pair - ( - " var s0 := depth_to_str(depth); " - " var v0[7] := [ depth ]; " - " var s1 := depth_to_str(depth); " - " var v1[42] := [ depth ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " return " - " [ " - " (s0 == depth_to_str(depth)) and " - " (sum(v0 == depth) == v0[]) and " - " (s1 == depth_to_str(depth)) and " - " (sum(v1 == depth) == v1[]) " - " ]; ", - - " recursive(1000) " - ), - - std::make_pair - ( - " var s := depth_to_str(depth); " - " var v[7] := [ depth ]; " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " }; " - " " - " return " - " [ " - " (s == depth_to_str(depth)) and " - " (sum(v == depth) == v[]) " - " ]; ", - - " recursive(15) " - ), - - std::make_pair - ( - " var s0 := depth_to_str(depth); " - " var v0[7] := [ depth ]; " - " var s1 := depth_to_str(depth); " - " var v1[42] := [ depth ]; " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " }; " - " " - " return " - " [ " - " (s0 == depth_to_str(depth)) and " - " (sum(v0 == depth) == v0[]) and " - " (s1 == depth_to_str(depth)) and " - " (sum(v1 == depth) == v1[]) " - " ]; ", - - " recursive(15) " - ), - - std::make_pair - ( - " var s0 := depth_to_str(depth); " - " var v0[7] := [ depth ]; " - " " - " for (var i := 0; i < 2; i += 1) " - " { " - " var s1 := depth_to_str(depth); " - " var v1[21] := [ depth + 1 ]; " - " " - " if (depth > 0) " - " { " - " if (recursive(depth - 1) == false) " - " { " - " return [false]; " - " } " - " }; " - " " - " if (s1 != depth_to_str(depth)) " - " { " - " return [false]; " - " }; " - " " - " if (sum(v1 == (depth + 1)) != v1[]) " - " { " - " return [false]; " - " }; " - " }; " - " " - " return " - " [ " - " (s0 == depth_to_str(depth)) and " - " (sum(v0 == depth) == v0[]) " - " ]; ", - - " recursive(15) " - ), - - std::make_pair - ( - " if (depth < 2) " - " depth; " - " else " - " recursive(depth - 1) + " - " recursive(depth - 2) ; ", - - " var n := 20; " - " var total := 0; " - " " - " for (var i := 0; i < n; i += 1) " - " { " - " total += recursive(i); " - " }; " - " " - " total == 10945; " - ) - }; - - const std::size_t test_funcprog_size = sizeof(test_funcprog) / sizeof(std::pair); - const std::size_t rounds = 5; - - bool result = true; - - for (std::size_t r = 0; r < rounds; ++r) - { - for (std::size_t i = 0; i < test_funcprog_size; ++i) - { - depth_to_str dts; - - symbol_table_t symbol_table; - symbol_table.add_function("depth_to_str",dts); - - compositor_t compositor(symbol_table); - - const bool comp_result = compositor.add( - function_t("recursive") - .var("depth") - .expression - ( test_funcprog[i].first )); - - if (!comp_result) - { - printf("run_test19() - Compositor Error: %s\nfunction: %s\n", - compositor.error().c_str(), - test_funcprog[i].first.c_str()); - - result = false; - continue; - } - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(test_funcprog[i].second, expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - test_funcprog[i].second.c_str()); - - result = false; - continue; - } - - if (T(1) != expression.value()) - { - printf("run_test19() - Evaluation Error: test_funcprog %d function: %s\n", - static_cast(i), - test_funcprog[i].second.c_str()); - - result = false; - continue; - } - } - - if (!result) - { - return false; - } - } - } - - { - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - const std::string expression_string = - " var sieve[10^7] := [false]; " - " var m := trunc(sqrt(sieve[])); " - " " - " sieve[0] := true; " - " sieve[1] := true; " - " " - " for (var i := 0; i <= m; i += 1) " - " { " - " if (false == sieve[i]) " - " { " - " for (var j := (i * i); j < sieve[]; j += i) " - " { " - " sieve[j] := true; " - " } " - " } " - " }; " - " " - " var prime_count := 0; " - " for (var i := 0; i < sieve[]; i += 1) " - " { " - " if (false == sieve[i]) " - " { " - " prime_count += 1; " - " }; " - " }; " - " " - " prime_count == 664579; "; - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_string,expression)) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - return false; - } - - if (T(1) != expression.value()) - { - printf("run_test19() - Prime Sieve Computation Error"); - - return false; - } - } - - { - symbol_table_t symbol_table; - - symbol_table.add_constants(); - - const std::string expression_str[] = - { - "var delta := 10^-7; var total := 0; for (var i := 0; i <= 3; i += delta) { total += " - "erf(i) }; abs((delta * total) - (3 * erf(3) + (1 / exp(9) - 1) / sqrt(pi))) < 0.000001", - - "var delta := 10^-7; var total := 0; for (var i := 0; i <= 3; i += delta) { total += " - "erfc(i) }; abs((delta * total) - (3 * erfc(3) + ((1 - 1 / exp(9)) / sqrt(pi)))) < 0.000001" - }; - - expression_t e[2]; - - parser_t parser; - - for (std::size_t i = 0; i < 2; ++i) - { - e[i].register_symbol_table(symbol_table); - - if (!parser.compile(expression_str[i],e[i])) - { - printf("run_test19() - Error: %s Expression: %s\n", - parser.error().c_str(), - expression_str[i].c_str()); - - return false; - } - - if (T(1) != e[i].value()) - { - printf("run_test19() - erf/erfc computation error %d", - static_cast(i)); - - return false; - } - } - } - - return true; -} - -template -struct my_usr exprtk_test_final : public exprtk::parser::unknown_symbol_resolver -{ - typedef typename exprtk::parser::unknown_symbol_resolver usr_t; - typedef typename usr_t::usr_symbol_type usr_symbol_type; - - using usr_t::process; - - bool process(const std::string& unknown_symbol, - usr_symbol_type& st, - T& default_value, - std::string& error_message) exprtk_test_override - { - if (unknown_symbol[0] == 'v') - { - st = usr_t::e_usr_variable_type; - default_value = next_value(); - error_message.clear(); - - return true; - } - else if (unknown_symbol[0] == 'c') - { - st = usr_t::e_usr_constant_type; - default_value = next_value(); - error_message.clear(); - - return true; - } - else - { - error_message = "Unknown symbol..."; - return false; - } - } - - T next_value(const bool reset = false) - { - static T value = 0; - - if (reset) - return (value = 0); - else - return ++value; - } -}; - -template -struct my_usr_ext exprtk_test_final : public exprtk::parser::unknown_symbol_resolver -{ - typedef exprtk::symbol_table symbol_table_t; - typedef typename exprtk::parser::unknown_symbol_resolver usr_t; - - using usr_t::process; - - my_usr_ext() - : usr_t(usr_t::e_usrmode_extended) - {} - - bool process(const std::string& unknown_symbol, - symbol_table_t& symbol_table, - std::string& error_message) exprtk_test_override - { - bool result = false; - - if (unknown_symbol[0] == 'v') - { - static T var_default_value = 1.0; - - if ((result = symbol_table.create_variable(unknown_symbol, var_default_value++)) == false) - { - error_message = "Failed to create variable(" + unknown_symbol + ") in primary symbol table"; - } - } - else if (unknown_symbol[0] == 'c') - { - static T cvar_default_value = 1.0; - - if ((result = symbol_table.add_constant(unknown_symbol, cvar_default_value++)) == false) - { - error_message = "Failed to create const variable(" + unknown_symbol + ") in primary symbol table"; - } - } - else if (0 == unknown_symbol.find("foo")) - { - //functions of form: fooXX - if (4 >= unknown_symbol.size()) - { - switch(unknown_symbol[3]) - { - case '1' : result = symbol_table.add_function(unknown_symbol,foo1); - break; - - case '2' : result = symbol_table.add_function(unknown_symbol,foo2); - break; - - case '3' : result = symbol_table.add_function(unknown_symbol,foo3); - break; - - case '4' : result = symbol_table.add_function(unknown_symbol,foo4); - break; - - case '5' : result = symbol_table.add_function(unknown_symbol,foo5); - break; - - case '6' : result = symbol_table.add_function(unknown_symbol,foo6); - break; - } - } - - if (!result) - { - error_message = "Failed to add function(" + unknown_symbol + ") in primary symbol table"; - } - } - else - error_message = "Indeterminable symbol type."; - - return result; - } -}; - -template -bool run_test20() -{ - typedef exprtk::expression expression_t; - - { - for (std::size_t i = 0; i < 100; ++i) - { - exprtk::symbol_table symbol_table0; // primary symbol_table - exprtk::symbol_table symbol_table1; - exprtk::symbol_table symbol_table2; - exprtk::symbol_table symbol_table3; - - symbol_table0.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table0); - expression.register_symbol_table(symbol_table1); - expression.register_symbol_table(symbol_table2); - expression.register_symbol_table(symbol_table3); - - exprtk::parser parser; - - my_usr musr; - musr.next_value(true); - parser.enable_unknown_symbol_resolver(&musr); - - std::string expr_str = "v01+c02+v03+c04+v05+c06+v07+c08+v09+c10+" - "v11+c12+v13+c14+v15+c16+v17+c18+v19+c20+" - "v21+c22+v23+c24+v25+c26+v27+c28+v29+c30 "; - - if (!parser.compile(expr_str,expression)) - { - printf("run_test20() - [1] Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str.c_str()); - - return false; - } - - T sum_1_30 = T((1 + 30) * 15); - T result = expression.value(); - - if (sum_1_30 != result) - { - printf("run_test20() - [1] Error in evaluation! (1) Expression: %s\n", - expr_str.c_str()); - - return false; - } - } - } - - { - for (std::size_t i = 0; i < 100; ++i) - { - exprtk::symbol_table symbol_table0; // primary symbol_table - exprtk::symbol_table symbol_table1; - exprtk::symbol_table symbol_table2; - exprtk::symbol_table symbol_table3; - - symbol_table0.add_constants(); - - expression_t expression; - expression.register_symbol_table(symbol_table0); - expression.register_symbol_table(symbol_table1); - expression.register_symbol_table(symbol_table2); - expression.register_symbol_table(symbol_table3); - - exprtk::parser parser; - - my_usr_ext musr; - parser.enable_unknown_symbol_resolver(&musr); - - std::string expr_str = "foo6(foo1(v0),foo2(c1,foo4(v2,c3,v4,c5)),foo3" - "(v6,c7,foo5(v8,c9,v10,c11,v12)),c13,v14,c15) "; - - if (!parser.compile(expr_str,expression)) - { - printf("run_test20() - [2] Error: %s Expression: %s\n", - parser.error().c_str(), - expr_str.c_str()); - - return false; - } - } - } - - { - T var; - std::string str; - std::vector vec(10,0.0); - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - - bool result = true; - - { - symbol_table_t symbol_table; - - symbol_table.add_variable ("val",var); - symbol_table.add_stringvar("str",str); - symbol_table.add_vector ("vec",vec); - - if (symbol_table.get_variable("val") == 0 || !symbol_table.symbol_exists("val")) - { - printf("run_test20() - [3] Failed to get 'val' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_stringvar("str") == 0 || !symbol_table.symbol_exists("str")) - { - printf("run_test20() - [3] Failed to get 'str' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_vector("vec") == 0 || !symbol_table.symbol_exists("vec")) - { - printf("run_test20() - [3] Failed to get 'vec' from symbol_table\n"); - result = false; - } - } - - if (!result) - return result; - - { - symbol_table_t symbol_table; - - symbol_table.add_variable("val",var); - - if (symbol_table.get_variable("val") == 0 || !symbol_table.symbol_exists("val")) - { - printf("run_test20() - [4] Failed to get 'val' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_stringvar("str") != 0 || symbol_table.symbol_exists("str")) - { - printf("run_test20() - [4] Failed to get 'str' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_vector("vec") != 0 || symbol_table.symbol_exists("vec")) - { - printf("run_test20() - [4] Failed to get 'vec' from symbol_table\n"); - result = false; - } - } - - if (!result) - return result; - - { - symbol_table_t symbol_table; - - symbol_table.add_stringvar("str",str); - - if (symbol_table.get_stringvar("str") == 0 || !symbol_table.symbol_exists("str")) - { - printf("run_test20() - [5] Failed to get 'str' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_variable("val") != 0 || symbol_table.symbol_exists("val")) - { - printf("run_test20() - [5] Failed to get 'val' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_vector("vec") != 0 || symbol_table.symbol_exists("vec")) - { - printf("run_test20() - [5] Failed to get 'vec' from symbol_table\n"); - result = false; - } - } - - if (!result) - return result; - - { - symbol_table_t symbol_table; - - symbol_table.add_vector("vec",vec); - - if (symbol_table.get_vector("vec") == 0 || !symbol_table.symbol_exists("vec")) - { - printf("run_test20() - [6] Failed to get 'vec' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_variable("val") != 0 || symbol_table.symbol_exists("val")) - { - printf("run_test20() - [6] Failed to get 'val' from symbol_table\n"); - result = false; - } - - if (symbol_table.get_stringvar("str") != 0 || symbol_table.symbol_exists("str")) - { - printf("run_test20() - [6] Failed to get 'str' from symbol_table\n"); - result = false; - } - } - - if (!result) - return result; - - { - symbol_table_t symbol_table1; - symbol_table_t symbol_table2; - expression_t expression; - - if (!expression.register_symbol_table(symbol_table1)) - { - printf("run_test20() - Failed to register symbol_table1 with expression\n"); - result = false; - } - - if (!expression.register_symbol_table(symbol_table2)) - { - printf("run_test20() - Failed to register symbol_table2 with expression\n"); - result = false; - } - - if (expression.num_symbol_tables() != 2) - { - printf("run_test20() - Invalid number of symbol tables in expression [1]\n"); - result = false; - } - - if (expression.register_symbol_table(symbol_table1)) - { - printf("run_test20() - Error: was able to register symbol_table1 with expression\n"); - result = false; - } - - if (expression.register_symbol_table(symbol_table2)) - { - printf("run_test20() - Error: was able to register symbol_table2 with expression\n"); - result = false; - } - - if (expression.num_symbol_tables() != 2) - { - printf("run_test20() - Invalid number of symbol tables in expression [2]\n"); - result = false; - } - - symbol_table_t symbol_table12 = symbol_table1; - symbol_table_t symbol_table22 = symbol_table2; - - if (expression.register_symbol_table(symbol_table12)) - { - printf("run_test20() - Error: was able to register symbol_table12 with expression\n"); - result = false; - } - - if (expression.register_symbol_table(symbol_table22)) - { - printf("run_test20() - Error: was able to register symbol_table22 with expression\n"); - result = false; - } - - if (expression.num_symbol_tables() != 2) - { - printf("run_test20() - Invalid number of symbol tables in expression [3]\n"); - result = false; - } - - symbol_table12 = symbol_table_t(); - symbol_table22 = symbol_table_t(); - - if (!expression.register_symbol_table(symbol_table12)) - { - printf("run_test20() - Failed to register symbol_table12 with expression [2]\n"); - result = false; - } - - if (!expression.register_symbol_table(symbol_table22)) - { - printf("run_test20() - Failed to register symbol_table22 with expression [2]\n"); - result = false; - } - - if (expression.num_symbol_tables() != 4) - { - printf("run_test20() - Invalid number of symbol tables in expression [4]\n"); - result = false; - } - } - - if (!result) - return result; - - } - - return true; -} - -template -inline std::string results_to_string(const exprtk::results_context& results) -{ - typedef exprtk::results_context results_context_t; - typedef typename results_context_t::type_store_t type_t; - - std::string res_str; - - for (std::size_t i = 0; i < results.count(); ++i) - { - type_t t = results[i]; - - switch (t.type) - { - case type_t::e_scalar : res_str += 'T'; - break; - - case type_t::e_vector : res_str += 'V'; - break; - - case type_t::e_string : res_str += 'S'; - break; - - default : continue; - } - } - - return res_str; -} - -template -inline bool result_equal(const exprtk::results_context& results, const T& value) -{ - typedef exprtk::results_context results_context_t; - typedef typename results_context_t::type_store_t type_t; - typedef typename type_t::scalar_view scalar_t; - - if (1 != results.count()) - return false; - else if (type_t::e_scalar != results[0].type) - return false; - else - return (value == scalar_t(results[0])()); -} - -template -class vv_size_handler_t : public exprtk::igeneric_function -{ -public: - - typedef typename exprtk::igeneric_function igfun_t; - typedef typename igfun_t::parameter_list_t parameter_list_t; - typedef typename igfun_t::generic_type generic_type; - typedef typename generic_type::vector_view vector_t; - typedef typename generic_type::scalar_view scalar_t; - typedef exprtk::vector_view* vv_ptr_t; - typedef std::map map_t; - - using exprtk::igeneric_function::operator(); - - vv_size_handler_t() - : exprtk::igeneric_function("VT") - {} - - inline T operator()(parameter_list_t parameters) - { - vector_t vector(parameters[0]); - size_t new_size = static_cast(scalar_t(parameters[1])()); - void* key = static_cast(&vector[0]); - - typename map_t::iterator itr = vector_map_.find(key); - - if (itr == vector_map_.end()) - { - return T(0); - } - - exprtk::vector_view& vv = *itr->second; - - if (vv.base_size() < new_size) - { - return T(0); - } - - return vv.set_size(new_size) ? T(1) : T(0); - } - - void register_vector_view(exprtk::vector_view& vec_view) - { - vector_map_[vec_view.data()] = &vec_view; - } - -private: - - map_t vector_map_; -}; - - -template -bool run_test21() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::parser_error::type error_type; - - { - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - - symbol_table_t symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - - static const std::string expression_list[] = - { - "return[]; x;", - "return[x]; x;", - "return[x,y]; x;", - "return[x + y,y - x]; x;", - "return[x + y,y - x,'abc']; x;", - "if (x < y) return [1,'abc1']; else return [2,'abc2',x];" , - "if (x > y) return [1,'abc1']; else return [2,'abc2',x];" , - "if (x < y) { return [1,'abc1'];} else { return [2,'abc2',x];}", - "if (x > y) { return [1,'abc1'];} else { return [2,'abc2',x];}", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [1]; } ", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [1,'abc']; } ", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [1,'abc',x]; }", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [1,'abc',x,y]; }", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [1,'abc',x,y,z]; }", - "for(var i := 0; i < 10; i += 1) { if (i == 5) return [2,'abc2',x]; else x += 1; }", - "for(var i := 0; i < 10; i += 1) { if (i == 5) { return [1,'abc1'];} else x += 1; }" - }; - - static const std::string result_list[] = - { - "" , - "T" , - "TT" , - "TT" , - "TTS" , - "TS" , - "TST" , - "TS" , - "TST" , - "T" , - "TS" , - "TST" , - "TSTT" , - "TSTTT", - "TST" , - "TS" - }; - - static const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test21() - Error: %s Expression: %s [1]\n", - parser.error().c_str(), - expression_list[i].c_str()); - - error_found = true; - continue; - } - else if (!parser.dec().return_present()) - { - printf("run_test21() - Expected a return statement Expression: %s [1]\n", - expression_list[i].c_str()); - - error_found = true; - continue; - } - - expression.value(); - - std::string pattern = results_to_string(expression.results()); - - if (!expression.return_invoked()) - { - printf("run_test21() - Invalid return invoke state [1] Expression: %s\n", - expression_list[i].c_str()); - - error_found = true; - continue; - } - else if (result_list[i] != pattern) - { - printf("run_test21() - Invalid return results [1] Expected %s Got: %s Expression: %s\n", - result_list[i].c_str(), - pattern.c_str(), - expression_list[i].c_str()); - - error_found = true; - continue; - } - } - - if (error_found) - { - return false; - } - } - - { - T x = T(1.1); - T y = T(2.2); - T z = T(3.3); - - symbol_table_t symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - - static const std::string expression_list[] = - { - "x := 1; x + 1; x + 2; x + 3; x + 5; x + 7; return [x + 1]; ", - "x := 1; x + 1; x + 2; x + 3; x + 5; return [x + 1]; x := 7; ", - "x := 1; x + 1; x + 2; x + 3; return [x + 1]; x + 5; x := 7; ", - "x := 1; x + 1; x + 2; return [x + 1]; x + 3; x + 5; x := 7; ", - "x := 1; x + 1; return [x + 1]; x + 2; x + 3; x + 5; x := 7; ", - "x := 1; return [x + 1]; x + 1; x + 2; x + 3; x + 5; x := 7; ", - "return [x + 1]; x := 1; x + 1; x + 2; x + 3; x + 5; x := 7; ", - "~{x := 1; x + 1; x + 2; x + 3; x + 5; x + 7; return [x + 1]}", - "~{x := 1; x + 1; x + 2; x + 3; x + 5; return [x + 1]; x := 7}", - "~{x := 1; x + 1; x + 2; x + 3; return [x + 1]; x + 5; x := 7}", - "~{x := 1; x + 1; x + 2; return [x + 1]; x + 3; x + 5; x := 7}", - "~{x := 1; x + 1; return [x + 1]; x + 2; x + 3; x + 5; x := 7}", - "~{x := 1; return [x + 1]; x + 1; x + 2; x + 3; x + 5; x := 7}", - "~{return [x + 1]; x := 1; x + 1; x + 2; x + 3; x + 5; x := 7}" - }; - - static const std::string result_list[] = - { - "T", "T", "T", "T", "T", "T", "T", - "T", "T", "T", "T", "T", "T", "T", - }; - - static const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); - - bool error_found = false; - - for (std::size_t i = 0; i < expression_list_size; ++i) - { - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_list[i],expression)) - { - printf("run_test21() - Error: %s Expression: %s [2]\n", - parser.error().c_str(), - expression_list[i].c_str()); - - error_found = true; - continue; - } - else if (!parser.dec().return_present()) - { - printf("run_test21() - Expected a return statement Expression: %s [2]\n", - expression_list[i].c_str()); - - error_found = true; - continue; - } - - expression.value(); - - std::string pattern = results_to_string(expression.results()); - - if (!expression.return_invoked()) - { - printf("run_test21() - Invalid return invoke state [2] Expression: %s\n", - expression_list[i].c_str()); - - error_found = true; - continue; - } - else if (result_list[i] != pattern) - { - printf("run_test21() - Invalid return results [2] Expected %s Got: %s Expression: %s\n", - result_list[i].c_str(), - pattern.c_str(), - expression_list[i].c_str()); - - error_found = true; - continue; - } - else if (!result_equal(expression.results(), x + T(1))) - { - printf("run_test21() - Invalid return results [2] Expected %s Got: %s Expression: %s\n", - result_list[i].c_str(), - pattern.c_str(), - expression_list[i].c_str()); - - error_found = true; - continue; - } - } - - if (error_found) - { - return false; - } - } - - { - T x = 1.0; - T y = 2.0; - T z = 3.0; - - T v[] = {0 , 1, 2, 3 }; - std::string s = "Hello "; - - myfunc mf; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable ("x", x); - symbol_table.add_variable ("y", y); - symbol_table.add_variable ("z", z); - symbol_table.add_vector ("v", v); - symbol_table.add_stringvar("s", s); - - expression.register_symbol_table(symbol_table); - - const std::string expression_str = - " if (x > y) " - " return [1]; " - " else " - " return [ x, x + y, 2 * v, s + 'world' ]; "; - - if (!parser.compile(expression_str, expression)) - { - printf("run_test21() - ERROR: %s\tExpression: %s\n", - parser.error().c_str(), - expression_str.c_str()); - return false; - } - - expression.value(); - - typedef exprtk::results_context results_context_t; - const results_context_t& results = expression.results(); - - if (results.count() != 4) - { - printf("run_test21() - ERROR Expected 4 return results, instead got: %d\n", - static_cast(results.count())); - return false; - } - - T result_x0; - T result_x1; - std::string result_s; - std::vector result_v; - - const T expected_result_v[] = {0 , 2, 4, 6 }; - const std::string expected_result_s = "Hello world"; - - if (!results.get_scalar(0,result_x0)) - { - printf("run_test21() - ERROR Failed to get scalar index0 from return result!\n"); - return false; - } - else if (result_x0 != T(1)) - { - printf("run_test21() - ERROR result_x0 is not expected value!\n"); - return false; - } - else if (!results.get_scalar(1,result_x1)) - { - printf("run_test21() - ERROR Failed to get scalar index1 from return result!\n"); - return false; - } - else if (result_x1 != T(3)) - { - printf("run_test21() - ERROR result_x1 is not expected value!\n"); - return false; - } - else if (!results.get_vector(2,result_v)) - { - printf("run_test21() - ERROR Failed to get vector from return result!\n"); - return false; - } - else if ( - (result_v.size() != (sizeof(expected_result_v) / sizeof(T))) || - !std::equal(result_v.begin(),result_v.end(),expected_result_v) - ) - { - printf("run_test21() - ERROR result_v is not expected value!\n"); - return false; - } - else if (!results.get_string(3,result_s)) - { - printf("run_test21() - ERROR Failed to get string from return result!\n"); - return false; - } - else if (result_s != expected_result_s) - { - printf("run_test21() - ERROR result_s is not expected value!\n"); - return false; - } - } - - { - const std::string invalid_expressions[] = - { - "x := 1", - "x += 1", - "v := 1 + v", - "v += 1", - "v += x + 1", - "v += v", - "v[0] += x", - "v[1] += x", - "v[2] += x", - "v[3] += x", - "v[4] += x", - "var i := 2; v[i] := x", - "var i := 2; v[i] += x", - "s := 'abc' + s", - "s[0:2] := 'abc'", - "s[1:3] := 'abc'", - "aa[4:4] := bb", - "aa[1:3] := bb", - "var i := 2; aa[i:3] := bb", - "var i := 2; aa[i+1:3] := bb", - "var i := 2; aa[0:i] := bb", - "var i := 2; aa[0:i+1] := bb", - "var i := 1; var j := 3; aa[i:j] := bb", - "var i := 1; var j := 3; aa[i+1:j] := bb", - "var i := 1; var j := 3; aa[i:j+1] := bb", - "var i := 1; var j := 3; aa[i+1:j+1] := bb", - }; - - const std::size_t invalid_expressions_size = sizeof(invalid_expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < invalid_expressions_size; ++i) - { - symbol_table_t mutable_symbol_table; - symbol_table_t immutable_symbol_table(symbol_table_t::e_immutable); - - T x = 0.0; - T v[5]; - std::string s = "xyz"; - std::string aa = "0123456789"; - std::string bb = "A"; - - T x_ = 0.0; - T v_[5]; - std::string s_ = "xyz"; - - std::string a_ = "0123456789"; - std::string b_ = "A"; - - immutable_symbol_table.add_variable ("x" , x ); - immutable_symbol_table.add_vector ("v" , v ); - immutable_symbol_table.add_stringvar("s" , s ); - immutable_symbol_table.add_stringvar("aa", aa); - immutable_symbol_table.add_stringvar("bb", bb); - - mutable_symbol_table.add_variable ("x_", x_); - mutable_symbol_table.add_vector ("v_", v_); - mutable_symbol_table.add_stringvar ("s_", s_); - mutable_symbol_table.add_stringvar ("a_", a_); - mutable_symbol_table.add_stringvar ("b_", b_); - - const std::string& expression_str = invalid_expressions[i]; - expression_t expression; - expression.register_symbol_table(immutable_symbol_table); - expression.register_symbol_table(mutable_symbol_table ); - - parser_t parser; - const bool compile_result = parser.compile(expression_str, expression); - - if (compile_result) - { - expression.value(); - printf("run_test21() - Invalid expression due to immutability was successfully compiled. Expression: %s\n", - expression_str.c_str()); - } - } - } - - { - T x = 1.1; - T y = 2.2; - T z = 3.3; - T w = 4.4; - - symbol_table_t mutable_symbol_table; - symbol_table_t immutable_symbol_table(symbol_table_t::e_immutable); - - mutable_symbol_table.add_variable("x", x); - mutable_symbol_table.add_variable("y", y); - - immutable_symbol_table.add_variable("w", w); - immutable_symbol_table.add_variable("z", z); - - expression_t expression; - expression.register_symbol_table(mutable_symbol_table ); - expression.register_symbol_table(immutable_symbol_table); - - parser_t parser; - - typedef std::pair local_test_t; - - const local_test_t expressions[] = - { - std::make_pair("x := y + (z / w)" , true ), - std::make_pair("y := y / x + (z / w)" , true ), - std::make_pair("z := y + x - w" , false), - std::make_pair("z == (w += y / x)" , false) - }; - - const std::size_t expressions_size = sizeof(expressions) / sizeof(local_test_t); - - bool error_found = false; - - for (std::size_t i = 0; i < expressions_size; ++i) - { - const std::string expression_str = expressions[i].first; - const bool expected_compile_result = expressions[i].second; - - if (expected_compile_result != parser.compile(expression_str, expression)) - { - printf("run_test21() - Invalid compilation of expression. Expected compile result: %c Expression: %s\n", - expected_compile_result ? 'T' : 'F', - expression_str.c_str()); - - error_found = true; - } - - x += 1.1; - y += 2.2; - z += 3.3; - w += 4.4; - - expression.value(); - } - - if (error_found) - { - return false; - } - } - - { - typedef typename parser_t::settings_store settings_t; - - const std::string expressions[] = - { - "var result := 0; if (true) { result := 2 } if (true) { result := 3 }; result", - "var result := 0; if (true) { result := 2 }; if (true) { result := 3 } result", - "var result := 0; if (true) { result := 2 } if (true) { result := 3 } result", - "var result := 0; var x:=1; if (x > 0) { result := 2 } else if (x > 0) { result := 3 } result", - "var result := 0; var x := 1; if (x > 0) { result := 2 } if (x > 0) { result := 3 }; result", - "var result := 0; var x := 1; if (x > 0) { result := 2 }; if (x > 0) { result := 3 } result", - "var result := 0; var x := 1; if (x > 0) { result := 2 } if (x > 0) { result := 3 } result", - "var result := 0; var x := 1; if (x > 0) { result := 2 } else if (x > 0) { result := 3 } result", - "var result := 0; var x := 1; if (x > 0) result := 2 else if (x > 0) { result := 3 } result", - "var result := 0; var x := 1; if (x > 0) {result := 2 } else if (x > 0) result := 3 result" - }; - - const std::size_t expressions_size = sizeof(expressions) / sizeof(std::string); - - static const std::size_t compile_options = - settings_t::e_replacer + - settings_t::e_joiner + - settings_t::e_numeric_check + - settings_t::e_bracket_check + - settings_t::e_sequence_check + - settings_t::e_strength_reduction; - - const settings_t settings(compile_options); - parser_t parser(settings); - - bool error_found = false; - - for (std::size_t e = 0; e < expressions_size; ++e) - { - const std::string& expression_string = expressions[e]; - expression_t expression; - - if (parser.compile(expression_string,expression)) - { - printf("run_test21() - Expected compilation error for expression: %s\n", - expression_string.c_str()); - error_found = true; - continue; - } - - expression.value(); - } - - if (error_found) - { - return false; - } - } - - { - const std::string expressions[] = - { - // conditional_vector_node - "var x := 2; sum(if (x > 1) { vv8 } else { vv7 }) == sum(vv8)", - "var x := 2; sum(if (x > 1) { vv8 + 1 } else { vv8 + 2 }) == sum(vv8 + 1)", - - // unary_vector_node - "var v[8] := {1,1,1,1,1,1,1,1}; vv8 += 1; sgn(vv8) == v", - "abs(-1 * vv8) == vv8", - "abs(vv8 * -1) == vv8", - "var x := -1; abs(x * vv8) == vv8", - "var x := -1; abs(vv8 * x) == vv8", - "var x := 1; abs(-x * vv8) == vv8", - "var x := 1; abs(vv8 * -x) == vv8", - "var x := -2; abs(x * vv8) == 2vv8", - "var x := -2; abs(vv8 * x) == 2vv8", - "var x := 2; abs(-x * vv8) == 2vv8", - "var x := 2; abs(vv8 * -x) == 2vv8", - "var x := -2; abs(x * vv8) == -x * vv8", - "var x := -2; abs(vv8 * x) == -x * vv8", - "var x := 2; abs(-x * vv8) == x * vv8", - "var x := 2; abs(vv8 * -x) == x * vv8", - "var x := -2; abs(x * vv8) == vv8 * -x", - "var x := -2; abs(vv8 * x) == vv8 * -x", - "var x := 2; abs(-x * vv8) == vv8 * x", - "var x := 2; abs(vv8 * -x) == vv8 * x", - "var x := -2; abs(x * vv8) == abs(x) * vv8", - "var x := -2; abs(vv8 * x) == abs(x) * vv8", - "var x := -2; abs(x * vv8) == vv8 * abs(x)", - "var x := -2; abs(vv8 * x) == vv8 * abs(x)", - - // vec_binop_vecval_node and vec_binop_valvec_node - "var v[8] := {1,2,3,4,5,6,7,8}; var x := 1; (vv8 + x) == v", - "var v[7] := {1,2,3,4,5,6,7}; var x := 1; (vv8 + x) == v", - "var v[6] := {1,2,3,4,5,6}; var x := 1; (vv8 + x) == v", - "var v[5] := {1,2,3,4,5}; var x := 1; (vv8 + x) == v", - "var v[4] := {1,2,3,4}; var x := 1; (vv8 + x) == v", - "var v[3] := {1,2,3}; var x := 1; (vv8 + x) == v", - "var v[2] := {1,2}; var x := 1; (vv8 + x) == v", - "var v[1] := {1}; var x := 1; (vv8 + x) == v", - "var v[8] := {1,2,3,4,5,6,7,8}; var x := 1; (x + vv8) == v", - "var v[7] := {1,2,3,4,5,6,7}; var x := 1; (x + vv8) == v", - "var v[6] := {1,2,3,4,5,6}; var x := 1; (x + vv8) == v", - "var v[5] := {1,2,3,4,5}; var x := 1; (x + vv8) == v", - "var v[4] := {1,2,3,4}; var x := 1; (x + vv8) == v", - "var v[3] := {1,2,3}; var x := 1; (x + vv8) == v", - "var v[2] := {1,2}; var x := 1; (x + vv8) == v", - "var v[1] := {1}; var x := 1; (x + vv8) == v", - - // vec_binop_vecvec_node - "var v[8] := [-1]; v < vv8", - "var v[7] := [-1]; v < vv8", - "var v[3] := [-1]; v < vv8", - "var v[2] := [-1]; v < vv8", - "var v[1] := [-1]; v < vv8", - - // assignment_vecvec_op_node - "var vv8sum := sum(vv8); vv8 += (vv8 + 1); sum(vv8) == (2 * sum(vv8sum) + vv8[] * 1)", - "var vv8sum := sum(vv8); vv8 += (vv8 - 1); sum(vv8) == (2 * sum(vv8sum) - vv8[] * 1)", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + x); sum(vv8) == (2 * sum(vv8sum) + vv8[] * 1)", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 - x); sum(vv8) == (2 * sum(vv8sum) - vv8[] * 1)", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + (vv8 + x)); sum(vv8) == (3 * sum(vv8sum) + vv8[] * 1)", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + (vv8 - x)); sum(vv8) == (3 * sum(vv8sum) - vv8[] * 1)", - "var vv8sum := sum(vv8); vv8 += (vv8 += 1); sum(vv8) == (2 * vv8sum + 2 * (vv8[] * 1))", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 += x); sum(vv8) == (2 * vv8sum + 2 * (vv8[] * x))", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 -= x); sum(vv8) == (2 * vv8sum - 2 * (vv8[] * x))", - "var vv8sum := sum(vv8); vv8 += (vv8 + 1); sum(vv8) == (2 * sum(vv8sum) + vv8[] * 1);", - "var vv8sum := sum(vv8); vv8 += (vv8 - 1); sum(vv8) == (2 * sum(vv8sum) - vv8[] * 1);", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + x); sum(vv8) == (2 * sum(vv8sum) + vv8[] * 1);", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 - x); sum(vv8) == (2 * sum(vv8sum) - vv8[] * 1);", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + (vv8 + x)); sum(vv8) == (3 * sum(vv8sum) + vv8[] * 1);", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 + (vv8 - x)); sum(vv8) == (3 * sum(vv8sum) - vv8[] * 1);", - "var vv8sum := sum(vv8); vv8 += (vv8 += 1); sum(vv8) == (2 * vv8sum + 2 * (vv8[] * 1));", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 += x); sum(vv8) == (2 * vv8sum + 2 * (vv8[] * x));", - "var vv8sum := sum(vv8); var x := 1; vv8 += (vv8 -= x); sum(vv8) == (2 * vv8sum - 2 * (vv8[] * x));", - "var vv3sum := sum(vv3); vv3 += (vv3 + 1); sum(vv3) == (2 * sum(vv3sum) + vv3[] * 1)", - "var vv3sum := sum(vv3); vv3 += (vv3 - 1); sum(vv3) == (2 * sum(vv3sum) - vv3[] * 1)", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + x); sum(vv3) == (2 * sum(vv3sum) + vv3[] * 1)", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 - x); sum(vv3) == (2 * sum(vv3sum) - vv3[] * 1)", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + (vv3 + x)); sum(vv3) == (3 * sum(vv3sum) + vv3[] * 1)", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + (vv3 - x)); sum(vv3) == (3 * sum(vv3sum) - vv3[] * 1)", - "var vv3sum := sum(vv3); vv3 += (vv3 += 1); sum(vv3) == (2 * vv3sum + 2 * (vv3[] * 1))", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 += x); sum(vv3) == (2 * vv3sum + 2 * (vv3[] * x))", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 -= x); sum(vv3) == (2 * vv3sum - 2 * (vv3[] * x))", - "var vv3sum := sum(vv3); vv3 += (vv3 + 1); sum(vv3) == (2 * sum(vv3sum) + vv3[] * 1);", - "var vv3sum := sum(vv3); vv3 += (vv3 - 1); sum(vv3) == (2 * sum(vv3sum) - vv3[] * 1);", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + x); sum(vv3) == (2 * sum(vv3sum) + vv3[] * 1);", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 - x); sum(vv3) == (2 * sum(vv3sum) - vv3[] * 1);", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + (vv3 + x)); sum(vv3) == (3 * sum(vv3sum) + vv3[] * 1);", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 + (vv3 - x)); sum(vv3) == (3 * sum(vv3sum) - vv3[] * 1);", - "var vv3sum := sum(vv3); vv3 += (vv3 += 1); sum(vv3) == (2 * vv3sum + 2 * (vv3[] * 1));", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 += x); sum(vv3) == (2 * vv3sum + 2 * (vv3[] * x));", - "var vv3sum := sum(vv3); var x := 1; vv3 += (vv3 -= x); sum(vv3) == (2 * vv3sum - 2 * (vv3[] * x));", - - // assignment_vec_op_node - "var vv8sum := sum(vv8); vv8 += 1; sum(vv8) == (vv8sum + vv8[] * 1)", - "var vv7sum := sum(vv7); vv7 += 1; sum(vv7) == (vv7sum + vv7[] * 1)", - "var vv6sum := sum(vv6); vv6 += 1; sum(vv6) == (vv6sum + vv6[] * 1)", - "var vv5sum := sum(vv5); vv5 += 1; sum(vv5) == (vv5sum + vv5[] * 1)", - "var vv4sum := sum(vv4); vv4 += 1; sum(vv4) == (vv4sum + vv4[] * 1)", - "var vv3sum := sum(vv3); vv3 += 1; sum(vv3) == (vv3sum + vv3[] * 1)", - "var vv2sum := sum(vv2); vv2 += 1; sum(vv2) == (vv2sum + vv2[] * 1)", - "var vv1sum := sum(vv1); vv1 += 1; sum(vv1) == (vv1sum + vv1[] * 1)", - "var vv8sum := sum(vv8); var x := 7; vv8 += (x - 1) / 2; sum(vv8) == (vv8sum + vv8[] * 3)", - "var vv7sum := sum(vv7); var x := 7; vv7 += (x - 1) / 2; sum(vv7) == (vv7sum + vv7[] * 3)", - "var vv6sum := sum(vv6); var x := 7; vv6 += (x - 1) / 2; sum(vv6) == (vv6sum + vv6[] * 3)", - "var vv5sum := sum(vv5); var x := 7; vv5 += (x - 1) / 2; sum(vv5) == (vv5sum + vv5[] * 3)", - "var vv4sum := sum(vv4); var x := 7; vv4 += (x - 1) / 2; sum(vv4) == (vv4sum + vv4[] * 3)", - "var vv3sum := sum(vv3); var x := 7; vv3 += (x - 1) / 2; sum(vv3) == (vv3sum + vv3[] * 3)", - "var vv2sum := sum(vv2); var x := 7; vv2 += (x - 1) / 2; sum(vv2) == (vv2sum + vv2[] * 3)", - "var vv1sum := sum(vv1); var x := 7; vv1 += (x - 1) / 2; sum(vv1) == (vv1sum + vv1[] * 3)", - - // assignment_vecvec_node - "var v[8] := [-1]; vv8 := v; sum(vv8) == (-1 * 8 + 0)", - "var v[7] := [-1]; vv8 := v; sum(vv8) == (-1 * 7 + (7))", - "var v[6] := [-1]; vv8 := v; sum(vv8) == (-1 * 6 + (6+7))", - "var v[5] := [-1]; vv8 := v; sum(vv8) == (-1 * 5 + (5+6+7))", - "var v[4] := [-1]; vv8 := v; sum(vv8) == (-1 * 4 + (4+5+6+7))", - "var v[3] := [-1]; vv8 := v; sum(vv8) == (-1 * 3 + (3+4+5+6+7))", - "var v[2] := [-1]; vv8 := v; sum(vv8) == (-1 * 2 + (2+3+4+5+6+7))", - "var v[1] := [-1]; vv8 := v; sum(vv8) == (-1 * 1 + (1+2+3+4+5+6+7))", - "var v[8] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, -1, -1, -1, -1, -1 }; x == vv8", - "var v[7] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, -1, -1, -1, -1, 7 }; x == vv8", - "var v[6] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, -1, -1, -1, 6, 7 }; x == vv8", - "var v[5] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, -1, -1, 5, 6, 7 }; x == vv8", - "var v[4] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, -1, 4, 5, 6, 7 }; x == vv8", - "var v[3] := [-1]; vv8 := v; var x[8] := { -1, -1, -1, 3, 4, 5, 6, 7 }; x == vv8", - "var v[2] := [-1]; vv8 := v; var x[8] := { -1, -1, 2, 3, 4, 5, 6, 7 }; x == vv8", - "var v[1] := [-1]; vv8 := v; var x[8] := { -1, 1, 2, 3, 4, 5, 6, 7 }; x == vv8", - "var v[3] := [-1]; vv3 := v; sum(vv3) == (-1 * 3 + (0))", - "var v[2] := [-1]; vv3 := v; sum(vv3) == (-1 * 2 + (2))", - "var v[1] := [-1]; vv3 := v; sum(vv3) == (-1 * 1 + (1+2))", - "var v[3] := [-1]; vv3 := v; var x[3] := { -1, -1, -1}; x == vv3", - "var v[2] := [-1]; vv3 := v; var x[3] := { -1, -1, 2}; x == vv3", - "var v[1] := [-1]; vv3 := v; var x[3] := { -1, 1, 2}; x == vv3", - "vv8 := vv7; sum(vv8) == (sum(vv7) + 7)", - "vv8 := vv6; sum(vv8) == (sum(vv6) + 6+ 7)", - "vv8 := vv5; sum(vv8) == (sum(vv5) + 5 + 6 + 7)", - "vv8 := vv4; sum(vv8) == (sum(vv4) + 4 + 5 + 6 + 7)", - "vv8 := vv3; sum(vv8) == (sum(vv3) + 3 + 4 + 5 + 6 + 7)", - "vv8 := vv2; sum(vv8) == (sum(vv2) + 2 + 3 + 4 + 5 + 6 + 7)", - "vv8 := vv1; sum(vv8) == (sum(vv1) + 1 + 2 + 3 + 4 + 5 + 6 + 7)", - "vv8 := vv7 + vv7; sum(vv8) == (2 * sum(vv7) + 7)", - "vv8 := vv6 + vv6; sum(vv8) == (2 * sum(vv6) + 6+ 7)", - "vv8 := vv5 + vv5; sum(vv8) == (2 * sum(vv5) + 5 + 6 + 7)", - "vv8 := vv4 + vv4; sum(vv8) == (2 * sum(vv4) + 4 + 5 + 6 + 7)", - "vv8 := vv3 + vv3; sum(vv8) == (2 * sum(vv3) + 3 + 4 + 5 + 6 + 7)", - "vv8 := vv2 + vv2; sum(vv8) == (2 * sum(vv2) + 2 + 3 + 4 + 5 + 6 + 7)", - "vv8 := vv1 + vv1; sum(vv8) == (2 * sum(vv1) + 1 + 2 + 3 + 4 + 5 + 6 + 7)", - - // assignment_vec_node - "var x := 3; vv8 := 2*x+1; sum(vv8) == (vv8[] * 7)", - "var x := 3; vv7 := 2*x+1; sum(vv7) == (vv7[] * 7)", - "var x := 3; vv6 := 2*x+1; sum(vv6) == (vv6[] * 7)", - "var x := 3; vv5 := 2*x+1; sum(vv5) == (vv5[] * 7)", - "var x := 3; vv4 := 2*x+1; sum(vv4) == (vv4[] * 7)", - "var x := 3; vv3 := 2*x+1; sum(vv3) == (vv3[] * 7)", - "var x := 3; vv2 := 2*x+1; sum(vv2) == (vv2[] * 7)", - "var x := 3; vv1 := 2*x+1; sum(vv1) == (vv1[] * 7)", - "var x[3] := [3]; vv8 := 2x[0]+1; sum(vv8) == (vv8[] * 7)", - "var x[3] := [3]; vv7 := 2x[1]+1; sum(vv7) == (vv7[] * 7)", - "var x[3] := [3]; vv6 := 2x[2]+1; sum(vv6) == (vv6[] * 7)", - "var x[3] := [3]; vv5 := 2x[0]+1; sum(vv5) == (vv5[] * 7)", - "var x[3] := [3]; vv4 := 2x[1]+1; sum(vv4) == (vv4[] * 7)", - "var x[3] := [3]; vv3 := 2x[2]+1; sum(vv3) == (vv3[] * 7)", - "var x[3] := [3]; vv2 := 2x[0]+1; sum(vv2) == (vv2[] * 7)", - "var x[3] := [3]; vv1 := 2x[1]+1; sum(vv1) == (vv1[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv8 := 2x[0]+y[0]; sum(vv8) == (vv8[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv7 := 2x[1]+y[1]; sum(vv7) == (vv7[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv6 := 2x[2]+y[2]; sum(vv6) == (vv6[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv5 := 2x[0]+y[0]; sum(vv5) == (vv5[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv4 := 2x[1]+y[1]; sum(vv4) == (vv4[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv3 := 2x[2]+y[2]; sum(vv3) == (vv3[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv2 := 2x[0]+y[0]; sum(vv2) == (vv2[] * 7)", - "var x[3] := [3]; var y[3] := [1]; vv1 := 2x[1]+y[1]; sum(vv1) == (vv1[] * 7)", - - // swap vec vec node - "var v[8] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 8 + 0)", - "var v[7] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 7 + (7))", - "var v[6] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 6 + (6+7))", - "var v[5] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 5 + (5+6+7))", - "var v[4] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 4 + (4+5+6+7))", - "var v[3] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 3 + (3+4+5+6+7))", - "var v[2] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 2 + (2+3+4+5+6+7))", - "var v[1] := [-1]; vv8 <=> v; sum(vv8) == (-1 * 1 + (1+2+3+4+5+6+7))", - "var v[8] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, -1, -1, -1, -1, -1 }; x == vv8", - "var v[7] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, -1, -1, -1, -1, 7 }; x == vv8", - "var v[6] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, -1, -1, -1, 6, 7 }; x == vv8", - "var v[5] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, -1, -1, 5, 6, 7 }; x == vv8", - "var v[4] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, -1, 4, 5, 6, 7 }; x == vv8", - "var v[3] := [-1]; vv8 <=> v; var x[8] := { -1, -1, -1, 3, 4, 5, 6, 7 }; x == vv8", - "var v[2] := [-1]; vv8 <=> v; var x[8] := { -1, -1, 2, 3, 4, 5, 6, 7 }; x == vv8", - "var v[1] := [-1]; vv8 <=> v; var x[8] := { -1, 1, 2, 3, 4, 5, 6, 7 }; x == vv8", - "var v[3] := [-1]; vv3 <=> v; sum(vv3) == (-1 * 3 + (0))", - "var v[2] := [-1]; vv3 <=> v; sum(vv3) == (-1 * 2 + (2))", - "var v[1] := [-1]; vv3 <=> v; sum(vv3) == (-1 * 1 + (1+2))", - "var v[3] := [-1]; vv3 <=> v; var x[3] := { -1, -1, -1}; x == vv3", - "var v[2] := [-1]; vv3 <=> v; var x[3] := { -1, -1, 2}; x == vv3", - "var v[1] := [-1]; vv3 <=> v; var x[3] := { -1, 1, 2}; x == vv3", - - // rebasevector_elem_node - "vv8[0] == 0", - "vv8[2 - 2] == 0", - "vv8[vv8[] - 1] == vv8[] - 1", - "var vec_sum := 0; for (var i := 0; i < vv8[]; i +=1) { vec_sum += vv8[i]; }; vec_sum == (vv8[] - 1) * vv8[] / 2", - "var vec_sum := 0; for (var i := 0; i < vv8[]; i +=1) { vec_sum += vv8[2i / 2]; }; vec_sum == (vv8[] - 1) * vv8[] / 2", - "var x:= 1; var y:= 1; (vv8 + x)[y / x] == 2", - "var x:= 1; var y:= 1; (vv8 + x - y)[y / x] == 1", - "var x:= 1; (x + vv8)[1] == 2", - "var x:= 1; var y:= 1; (x + vv8)[y / x] == 2", - "var x:= 1; var y:= 1; (x + vv8 - y)[y / x] == 1", - "var successes := 0; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + 1)[i] == i + 1; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + x)[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (x + vv8)[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + x)[i / x] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (x + vv8)[i / x] == i + x; }; successes == vv8[]", - "(1 + vv8)[1] == 2", - "(vv8 + 1)[1] == 2", - "(vv8 + 1)[2 / 2] == 2", - "(1 + vv8)[2 / 2] == 2", - "var x:= 1; (x + vv8)[1] == 2", - "var x:= 1; (vv8 + x)[1] == 2", - "var x:= 1; var y:= 1; (x + vv8)[y] == 2", - "var x:= 1; var y:= 1; (vv8 + x)[y] == 2", - "var x:= 1; var y:= 1; (vv8 + x)[y / x] == 2", - "var x:= 1; var y:= 1; (vv8 + x - y)[y / x] == 1", - "var x:= 1; var y:= 1; (x + vv8)[y / x] == 2", - "var x:= 1; var y:= 1; (x + vv8 - y)[y / x] == 1", - "(abs(vv8 + 1))[1] == 2", - "(abs(1 + vv8))[1] == 2", - "(abs(vv8 + 1))[2 / 2] == 2", - "(abs(1 + vv8))[2 / 2] == 2", - "(abs(vv8 + 1)/2)[1] == 1", - "(abs(1 + vv8)/2)[1] == 1", - "(abs(vv8 + 1)/2)[2 / 2] == 1", - "(abs(1 + vv8)/2)[2 / 2] == 1", - "(abs(abs(vv8 + 1)) - 1)[1] == 1", - "(abs(2 * abs(vv8 + 1)) - 1)[1] == 3", - "(abs(abs(vv8 + 1) * 2) - 1)[1] == 3", - "(abs(2abs(vv8 + 1)) - 1)[1] == 3", - "(abs(abs(vv8 + 1)2) - 1)[1] == 3", - "var x:= 1; (abs(x + vv8))[1] == 2", - "var x:= 1; (abs(vv8 + x))[1] == 2", - "var x:= 1; var y:= 1; (abs(x + vv8))[y] == 2", - "var x:= 1; var y:= 1; (abs(vv8 + x))[y] == 2", - "var x:= 1; var y:= 1; (abs(vv8 + x))[y / x] == 2", - "var x:= 1; var y:= 1; (abs(vv8 + x - y))[y / x] == 1", - "var x:= 1; var y:= 1; (abs(x + vv8))[y / x] == 2", - "var x:= 1; var y:= 1; (abs(x + vv8 - y))[y / x] == 1", - "var x:= 1; (abs(x + vv8)/2)[1] == 1", - "var x:= 1; (abs(vv8 + x)/2)[1] == 1", - "var x:= 1; var y:= 1; (abs(x + vv8)/2)[y] == 1", - "var x:= 1; var y:= 1; (abs(vv8 + x)/2)[y] == 1", - "var x:= 1; var y:= 1; (abs(vv8 + x)/2)[y / x] == 1", - "var x:= 1; var y:= 1; (abs(x + vv8)/2)[y / x] == 1", - "var x := 1; (abs(abs(vv8 + x)) - x)[1] == 1", - "var x := 1; (abs(2 * abs(vv8 + x)) - x)[1] == 3", - "var x := 1; (abs(abs(vv8 + x) * 2) - x)[1] == 3", - "var x := 1; (abs(2abs(vv8 + x)) - x)[1] == 3", - "var x := 1; (abs(abs(vv8 + x)2) - x)[1] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x)) - x)[y] == 1", - "var x := 1; var y := 1; (abs(2 * abs(vv8 + x)) - x)[y] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x) * 2) - x)[y] == 3", - "var x := 1; var y := 1; (abs(2abs(vv8 + x)) - x)[y] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x)2) - x)[y] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x)) - x)[x / y] == 1", - "var x := 1; var y := 1; (abs(2 * abs(vv8 + x)) - x)[x / y] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x) * 2) - x)[x / y] == 3", - "var x := 1; var y := 1; (abs(2abs(vv8 + x)) - x)[x / y] == 3", - "var x := 1; var y := 1; (abs(abs(vv8 + x)2) - x)[x / y] == 3", - "var successes := 0; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + 1)[i] == i + 1; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + x)[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (x + vv8)[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (vv8 + x)[i / x] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (x + vv8)[i / x] == i + x; }; successes == vv8[]", - "var successes := 0; for(var i:=0; i < vv8[]; i += 1) { successes += (abs(vv8 + 1))[i] == i + 1; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (abs(vv8 + x))[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (abs(x + vv8))[i] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (abs(vv8 + x))[i / x] == i + x; }; successes == vv8[]", - "var successes := 0; var x := 1 ; for(var i:=0; i < vv8[]; i += 1) { successes += (abs(x + vv8))[i / x] == i + x; }; successes == vv8[]", - }; - - bool error_found = false; - - for (std::size_t e = 0; e < sizeof(expressions)/sizeof(std::string); ++e) - { - T vs8[] = { 0, 1, 2, 3, 4, 5, 6, 7 }; - T vs7[] = { 0, 1, 2, 3, 4, 5, 6 }; - T vs6[] = { 0, 1, 2, 3, 4, 5 }; - T vs5[] = { 0, 1, 2, 3, 4 }; - T vs4[] = { 0, 1, 2, 3 }; - T vs3[] = { 0, 1, 2 }; - T vs2[] = { 0, 1 }; - T vs1[] = { 0 }; - - exprtk::vector_view vv1 = exprtk::make_vector_view(vs1, 1); - exprtk::vector_view vv2 = exprtk::make_vector_view(vs2, 2); - exprtk::vector_view vv3 = exprtk::make_vector_view(vs3, 3); - exprtk::vector_view vv4 = exprtk::make_vector_view(vs4, 4); - exprtk::vector_view vv5 = exprtk::make_vector_view(vs5, 5); - exprtk::vector_view vv6 = exprtk::make_vector_view(vs6, 6); - exprtk::vector_view vv7 = exprtk::make_vector_view(vs7, 7); - exprtk::vector_view vv8 = exprtk::make_vector_view(vs8, 8); - - symbol_table_t symbol_table; - - symbol_table.add_vector("vv1", vv1); - symbol_table.add_vector("vv2", vv2); - symbol_table.add_vector("vv3", vv3); - symbol_table.add_vector("vv4", vv4); - symbol_table.add_vector("vv5", vv5); - symbol_table.add_vector("vv6", vv6); - symbol_table.add_vector("vv7", vv7); - symbol_table.add_vector("vv8", vv8); - - parser_t parser; - - const std::string& expression_string = expressions[e]; - expression_t expression; - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expression_string,expression)) - { - printf("run_test21() - vector_veiw expression compilation error. Expression: %s\n", - expression_string.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - error_type error = parser.get_error(i); - exprtk::parser_error::update_error(error,expression_string); - - printf("run_test21() - Exp[%02d] Error[%02d] Position: %02d line: %d column: %d Type: [%14s] Msg: %s\n", - static_cast(e), - static_cast(i), - static_cast(error.token.position), - static_cast(error.line_no), - static_cast(error.column_no), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - - error_found = true; - - continue; - } - - const T result = expression.value(); - - if (result != T(1.0)) - { - error_found = true; - - printf("run_test21() - Error: Exp[%02d] Expression result: %5.3f expected: 1 expression: %s\n", - static_cast(e), - result, - expression_string.c_str()); - } - } - - if (error_found) - { - return false; - } - } - - { - const std::string expressions[] = - { - "vv0[] == vv0_size", - "sum(vv0) == (vv0[] * (vv0[] + 1) / 2) and (vv0[] == vv0_size)", - "(min(vv0) == 1) and (vv0[] == vv0_size)", - "(max(vv0) == vv0[]) and (vv0[] == vv0_size)", - "(avg(vv0) == (min(vv0) + max(vv0)) / 2) and (vv0[] == vv0_size)", - "(sum(vv0 + 1) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1))) and (vv0[] == vv0_size)", - "(sum(vv0 - 1) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1))) and (vv0[] == vv0_size)", - "(sum(1 + vv0) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * 1))) and (vv0[] == vv0_size)", - "(sum(-1 + vv0) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * 1))) and (vv0[] == vv0_size)", - "var x:= 1; sum(vv0 + x) == (vv0[] * (vv0[] + 1) / 2 + (vv0[] * x)) and (vv0[] == vv0_size)", - "var x:= 1; sum(vv0 - x) == (vv0[] * (vv0[] + 1) / 2 - (vv0[] * x)) and (vv0[] == vv0_size)", - "sum(2vv0) == (vv0[] * (vv0[] + 1)) and (vv0[] == vv0_size)", - "sum(vv0 * 2) == (vv0[] * (vv0[] + 1)) and (vv0[] == vv0_size)", - "sum(2vv0 + 1) == (vv0[] * (vv0[] + 1) + vv0[]) and (vv0[] == vv0_size)", - "sum(1 + 2vv0) == (vv0[] * (vv0[] + 1) + vv0[]) and (vv0[] == vv0_size)", - "var x := 1; sum(2vv0 + x) == (vv0[] * (vv0[] + 1) + x * vv0[]) and (vv0[] == vv0_size)", - "var x := 1; sum(x + 2vv0) == (vv0[] * (vv0[] + 1) + x * vv0[]) and (vv0[] == vv0_size)", - "sum(vv0 += 1) == (vv0[] * (vv0[] + 1) / 2 + vv0[]) and (vv0[] == vv0_size)", - "var x:= 1; sum(vv0 += x) == (vv0[] * (vv0[] + 1) / 2 + x * vv0[]) and (vv0[] == vv0_size)", - "var x:= 1; sum(vv0 -= x) == (vv0[] * (vv0[] + 1 - 2x) / 2) and (vv0[] == vv0_size)", - "(sum(2vv0) == 2 * sum(vv0)) and (vv0[] == vv0_size)", - "(sum(vv0 * 2) == 2 * sum(vv0)) and (vv0[] == vv0_size)", - "var x:= 1; sum(2vv0) == (vv0[] * (vv0[] + 1)) and (vv0[] == vv0_size)", - "var x := 2; sum(if (x > 1) { vv0 } else { vv1 }) == sum(vv0)", - "dot(2 * vv0,vv1 - 1) + dot(2 * vv0,vv1 - 1) == 2sum(2vv0 * (vv1 - 1))", - "(0 * dot(2 * vv0,vv1 - 1)) == 0" - }; - - bool error_found = false; - - for (std::size_t e = 0; e < sizeof(expressions) / sizeof(std::string); ++e) - { - const T vanilla[] = { 1, 2, 3, 4, 5, 6, 7, 8 }; - const std::size_t vanilla_size = sizeof(vanilla) / sizeof(T); - - std::vector v0(vanilla, vanilla + vanilla_size); - exprtk::vector_view vv0 = exprtk::make_vector_view(v0, v0.size()); - - std::vector v1(vanilla, vanilla + vanilla_size); - exprtk::vector_view vv1 = exprtk::make_vector_view(v1, v1.size()); - - T vv0_size = T(0.0); - - symbol_table_t symbol_table; - symbol_table.add_variable("vv0_size", vv0_size); - symbol_table.add_vector ("vv0" , vv0 ); - symbol_table.add_vector ("vv1" , vv1 ); - - exprtk::rtl::vecops::package vector_package; - exprtk::rtl::io::package io_package; - - symbol_table.add_package( vector_package ); - symbol_table.add_package( io_package ); - - const std::string& expression_string = expressions[e]; - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_string, expression)) - { - printf("run_test21() - Error: %s\tExpression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - error_type error = parser.get_error(i); - exprtk::parser_error::update_error(error,expression_string); - - printf("run_test21() - Exp[%02d] Error[%02d] Position: %02d line: %d column: %d Type: [%14s] Msg: %s\n", - static_cast(e), - static_cast(i), - static_cast(error.token.position), - static_cast(error.line_no), - static_cast(error.column_no), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - - continue; - } - - for (std::size_t i = 1; i <= vv0.base_size(); ++i) - { - v0.assign(vanilla, vanilla + vanilla_size); - v1.assign(vanilla, vanilla + vanilla_size); - - vv0_size = T(i); - vv0.set_size(i); - - const T result = expression.value(); - - if (result != 1) - { - printf("run_test21() - Exp[%02d] Error: size: %d expected 1 instead got: %f expr:%s\n", - static_cast(e), - static_cast(i), - result, - expression_string.c_str()); - } - } - - vv1.rebase(v0.data()); - vv0.rebase(v1.data()); - expression.value(); - - vv0.rebase(v0.data()); - vv1.rebase(v1.data()); - expression.value(); - - expression.release(); - } - - if (error_found) - { - return false; - } - } - - { - const T vanilla[] = { 1, 2, 3, 4, 5, 6, 7, 8 }; - const std::size_t vanilla_size = sizeof(vanilla) / sizeof(T); - - std::vector v0(vanilla, vanilla + vanilla_size); - std::vector v1(vanilla, vanilla + vanilla_size); - - exprtk::vector_view vv = exprtk::make_vector_view(v0, v0.size()); - - vv_size_handler_t vv_size_handler; - vv_size_handler.register_vector_view(vv); - - symbol_table_t symbol_table; - symbol_table.add_vector("v", vv); - - exprtk::rtl::vecops::package vector_package; - exprtk::rtl::io::package io_package; - - symbol_table.add_package( vector_package ); - symbol_table.add_package( io_package ); - symbol_table.add_function("resize", vv_size_handler); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - const std::string resize_expression = - " var vec_original_size := v[]; " - " var success_count := 0; " - " " - " for (var i := 1; i <= vec_original_size; i += 1) " - " { " - " if (resize(v,i) == true and v[] == i) " - " { " - " success_count += 1; " - " } " - " }; " - " " - " success_count == vec_original_size "; - - if (!parser.compile(resize_expression, expression)) - { - printf("run_test21() - Error: %s\tExpression: %s\n", - parser.error().c_str(), - resize_expression.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - error_type error = parser.get_error(i); - exprtk::parser_error::update_error(error,resize_expression); - - printf("run_test21() - Error[%02d] Position: %02d line: %d column: %d Type: [%14s] Msg: %s\n", - static_cast(i), - static_cast(error.token.position), - static_cast(error.line_no), - static_cast(error.column_no), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - - return false; - } - - const T value0 = expression.value(); - - if (expression.value() != T(1)) - { - printf("run_test21() - Error: Failed evaluation Expected 1 got: %f (1)\n", value0); - } - - vv.rebase(v1.data()); - vv_size_handler.register_vector_view(vv); - - const T value1 = expression.value(); - - if (expression.value() != T(1)) - { - printf("run_test21() - Error: Failed evaluation Expected 1 got: %f (1)\n", value1); - } - - vv.rebase(v0.data()); - vv_size_handler.register_vector_view(vv); - - expression.release(); - } - - { - const T vanilla[] = { 1, 2, 3, 4, 5, 6, 7, 8 }; - const std::size_t vanilla_size = sizeof(vanilla) / sizeof(T); - - std::vector v0(vanilla, vanilla + vanilla_size); - std::vector v1(vanilla, vanilla + vanilla_size); - - exprtk::vector_view vv = exprtk::make_vector_view(v0, v0.size()); - - vv_size_handler_t vv_size_handler; - vv_size_handler.register_vector_view(vv); - - symbol_table_t symbol_table; - symbol_table.add_vector("v", vv); - - exprtk::rtl::vecops::package vector_package; - exprtk::rtl::io::package io_package; - - symbol_table.add_package( vector_package ); - symbol_table.add_package( io_package ); - symbol_table.add_function("resize", vv_size_handler); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - const std::string resize_expression = - " var vec_original_size := v[]; " - " var failure_count := 0; " - " " - " for (var i := vec_original_size + 1; i <= 2 * vec_original_size; i += 1) " - " { " - " if (resize(v,i) == false or v[] != i) " - " { " - " failure_count += 1 " - " } " - " }; " - " " - " failure_count == vec_original_size "; - - if (!parser.compile(resize_expression, expression)) - { - printf("run_test21() - Error: %s\tExpression: %s\n", - parser.error().c_str(), - resize_expression.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - error_type error = parser.get_error(i); - exprtk::parser_error::update_error(error,resize_expression); - - printf("run_test21() - Error[%02d] Position: %02d line: %d column: %d Type: [%14s] Msg: %s\n", - static_cast(i), - static_cast(error.token.position), - static_cast(error.line_no), - static_cast(error.column_no), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - - return false; - } - - const T value0 = expression.value(); - - if (expression.value() != T(1)) - { - printf("run_test21() - Error: Failed evaluation Expected 1 got: %f (2)\n", value0); - } - - vv.rebase(v1.data()); - vv_size_handler.register_vector_view(vv); - - const T value1 = expression.value(); - - if (expression.value() != T(1)) - { - printf("run_test21() - Error: Failed evaluation Expected 1 got: %f (2)\n", value1); - } - - vv.rebase(v0.data()); - vv_size_handler.register_vector_view(vv); - - expression.release(); - } - - return true; -} - -struct assert_handler exprtk_test_final : public exprtk::assert_check -{ - std::size_t assert_count; - void handle_assert(const assert_context& /*context*/) exprtk_test_override - { - ++assert_count; - } -}; - -template -bool run_test22() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - bool result = true; - - { - const std::string expressions[] = - { - " assert(1 > 1); ", - " assert(1 > 2, 'assert statement 2'); ", - " assert(1 > 3, 'assert ' + 'statement 3'); ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); ", - " assert(1 > 5, 'assert ' + 'statement 5'); ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [1]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - else if (!exprtk::expression_helper::is_null(expression)) - { - printf("run_test22() - Error: Expression is not null! expression: %s [1]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 1 + 0 ", - " assert(1 > 2, 'assert statement 2'); 2 + 0 ", - " assert(1 > 3, 'assert ' + 'statement 3'); 3 + 0 ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 4 + 0 ", - " assert(1 > 5, 'assert ' + 'statement 5'); 5 + 0 ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 6 + 0 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [2]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - else if (!exprtk::expression_helper::is_literal(expression)) - { - printf("run_test22() - Error: Expression is not constant! expression: %s [2]\n", - expressions[i].c_str()); - continue; - } - - expression.value(); - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); " - " assert(1 > 2, 'assert statement 2'); " - " assert(1 > 3, 'assert ' + 'statement 3'); " - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); " - " assert(1 > 5, 'assert ' + 'statement 5'); " - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [3]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [3]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [3]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 1 ", - " assert(1 > 2, 'assert statement 2'); 2 ", - " assert(1 > 3, 'assert ' + 'statement 3'); 3 ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 4 ", - " assert(1 > 5, 'assert ' + 'statement 5'); 5 ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 6 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [4]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_literal); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [4]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [4]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 1 + 0 ", - " assert(1 > 2, 'assert statement 2'); 2 + 0 ", - " assert(1 > 3, 'assert ' + 'statement 3'); 3 + 0 ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 4 + 0 ", - " assert(1 > 5, 'assert ' + 'statement 5'); 5 + 0 ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 6 + 0 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [5]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_literal); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [5]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [5]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 'assert statement 0001' ", - " assert(1 > 2, 'assert statement 2'); 'assert statement 0002' ", - " assert(1 > 3, 'assert ' + 'statement 3'); 'assert statement 0003' ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 'assert statement 0004' ", - " assert(1 > 5, 'assert ' + 'statement 5'); 'assert statement 0005' ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert statement 0006' " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [6]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [6]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [6]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 'assert statement' + '0001' ", - " assert(1 > 2, 'assert statement 2'); 'assert statement' + '0002' ", - " assert(1 > 3, 'assert ' + 'statement 3'); 'assert statement' + '0003' ", - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 'assert statement' + '0004' ", - " assert(1 > 5, 'assert ' + 'statement 5'); 'assert statement' + '0005' ", - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert statement' + '0006' " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [7]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [7]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [7]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); ", - " assert(x > y, 'assert statement 2'); ", - " assert(x > y, 'assert ' + 'statement 3'); ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); ", - " assert(x > y, 'assert ' + 'statement 5'); ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [8]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - else if (!exprtk::expression_helper::is_null(expression)) - { - printf("run_test22() - Error: Expression is not null! expression: %s [8]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 1 + 0 ", - " assert(x > y, 'assert statement 2'); 2 + 0 ", - " assert(x > y, 'assert ' + 'statement 3'); 3 + 0 ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 4 + 0 ", - " assert(x > y, 'assert ' + 'statement 5'); 5 + 0 ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 6 + 0 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [9]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - else if (!exprtk::expression_helper::is_literal(expression)) - { - printf("run_test22() - Error: Expression is not constant! expression: %s [9]\n", - expressions[i].c_str()); - continue; - } - - expression.value(); - } - } - - { - const std::string expressions[] = - { - " assert(x > y); " - " assert(x > y, 'assert statement 2'); " - " assert(x > y, 'assert ' + 'statement 3'); " - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); " - " assert(x > y, 'assert ' + 'statement 5'); " - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [10]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [10]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [10]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 1 ", - " assert(x > y, 'assert statement 2'); 2 ", - " assert(x > y, 'assert ' + 'statement 3'); 3 ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 4 ", - " assert(x > y, 'assert ' + 'statement 5'); 5 ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 6 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [11]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_literal); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [11]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [11]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 1 + 0 ", - " assert(x > y, 'assert statement 2'); 2 + 0 ", - " assert(x > y, 'assert ' + 'statement 3'); 3 + 0 ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 4 + 0 ", - " assert(x > y, 'assert ' + 'statement 5'); 5 + 0 ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 6 + 0 " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [12]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_literal); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [12]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [12]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 'assert statement 0001' ", - " assert(x > y, 'assert statement 2'); 'assert statement 0002' ", - " assert(x > y, 'assert ' + 'statement 3'); 'assert statement 0003' ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 'assert statement 0004' ", - " assert(x > y, 'assert ' + 'statement 5'); 'assert statement 0005' ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert statement 0006' " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [13]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [13]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [13]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 'assert statement' + '0001' ", - " assert(x > y, 'assert statement 2'); 'assert statement' + '0002' ", - " assert(x > y, 'assert ' + 'statement 3'); 'assert statement' + '0003' ", - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 'assert statement' + '0004' ", - " assert(x > y, 'assert ' + 'statement 5'); 'assert statement' + '0005' ", - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert statement' + '0006' " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [14]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [14]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (1 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [14]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 1 + 0; " - " assert(1 > 2, 'assert statement 2'); 2 + 0; " - " assert(1 > 3, 'assert ' + 'statement 3'); 3 + 0; " - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 4 + 0; " - " assert(1 > 5, 'assert ' + 'statement 5'); 5 + 0 " - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 6 + 0; " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [15]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_assert ); - type_sequence.push_back(et_t::e_literal); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [15]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [15]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(1 > 1); 'assert' + '01'; " - " assert(1 > 2, 'assert statement 2'); 'assert' + '02'; " - " assert(1 > 3, 'assert ' + 'statement 3'); 'assert' + '03'; " - " assert(1 > 4, 'assert ' + 'statement 4', 'Assert04'); 'assert' + '04'; " - " assert(1 > 5, 'assert ' + 'statement 5'); 'assert' + '05'; " - " assert(1 > 6, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert' + '06'; " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [16]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [16]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 1. Expression: %s [16]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); x + y + 1; " - " assert(x > y, 'assert statement 2'); x + y + 1; " - " assert(x > y, 'assert ' + 'statement 3'); x + y + 1; " - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); x + y + 1; " - " assert(x > y, 'assert ' + 'statement 5'); x + y + 1; " - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); x + y + 1; " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [17]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_sf3ext); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [17]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 6. Expression: %s [17]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - { - const std::string expressions[] = - { - " assert(x > y); 'assert' + ((x < y) ? '01' : 'XYZ'); " - " assert(x > y, 'assert statement 2'); 'assert' + ((x < y) ? '02' : 'XYZ'); " - " assert(x > y, 'assert ' + 'statement 3'); 'assert' + ((x < y) ? '03' : 'XYZ'); " - " assert(x > y, 'assert ' + 'statement 4', 'Assert04'); 'assert' + ((x < y) ? '04' : 'XYZ'); " - " assert(x > y, 'assert ' + 'statement 5'); 'assert' + ((x < y) ? '05' : 'XYZ'); " - " assert(x > y, 'assert ' + 'statement 6', 'Assert' + '06'); 'assert' + ((x < y) ? '06' : 'XYZ'); " - }; - - const std::size_t expression_count = sizeof(expressions) / sizeof(std::string); - - for (std::size_t i = 0; i < expression_count; ++i) - { - T x = T(1); - T y = T(2); - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - assert_handler handler; - - handler.assert_count = 0; - - symbol_table.add_variable("x", x); - symbol_table.add_variable("y", y); - expression.register_symbol_table(symbol_table); - - parser.register_assert_check(handler); - - if (!parser.compile(expressions[i], expression)) - { - printf("run_test22() - Error: %s\tExpression: %s [18]\n", - parser.error().c_str(), - expressions[i].c_str()); - result = false; - continue; - } - - std::vector::node_types> type_sequence; - - typedef typename exprtk::expression_helper et_t; - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_assert); - type_sequence.push_back(et_t::e_string); - - if (!exprtk::expression_helper::match_type_sequence(expression,type_sequence)) - { - printf("run_test22() - Error: Expression failed to match type sequence. Expression: %s [18]\n", - expressions[i].c_str()); - result = false; - continue; - } - - expression.value(); - - if (6 != handler.assert_count) - { - printf("run_test22() - Error: Invalid assert count of %d expected 6. Expression: %s [18]\n", - static_cast(handler.assert_count), - expressions[i].c_str()); - result = false; - continue; - } - } - } - - return result; -} - -template -struct type_name { static inline std::string value() { return "unknown"; } }; -template <> struct type_name { static inline std::string value() { return "float"; } }; -template <> struct type_name { static inline std::string value() { return "double"; } }; -template <> struct type_name { static inline std::string value() { return "long double"; } }; - -int main(int argc, char*argv[]) -{ - const std::string test_set = (argc == 2) ? std::string(argv[1]) : ""; - - #define perform_test(Type,Number) \ - { \ - const std::string test_name = "run_test"#Number; \ - if ( \ - test_set.empty() || \ - test_set.find(test_name) != std::string::npos \ - ) \ - { \ - exprtk::timer timer; \ - timer.start(); \ - if (!run_test##Number()) \ - { \ - printf("run_test"#Number" (%s) *** FAILED! ***\n", \ - type_name::value().c_str()); \ - result = EXIT_FAILURE; \ - } \ - else \ - { \ - timer.stop(); \ - printf("run_test"#Number" (%s) - Result: SUCCESS Time: %8.4fsec\n", \ - type_name::value().c_str(), \ - timer.time()); \ - } \ - } \ - } \ - - int result = 0; - - perform_test( numeric_type, 00 ) - perform_test( numeric_type, 01 ) - perform_test( numeric_type, 02 ) - perform_test( numeric_type, 03 ) - perform_test( numeric_type, 04 ) - perform_test( numeric_type, 05 ) - perform_test( numeric_type, 06 ) - perform_test( numeric_type, 07 ) - perform_test( numeric_type, 08 ) - perform_test( numeric_type, 09 ) - perform_test( numeric_type, 10 ) - perform_test( numeric_type, 11 ) - perform_test( numeric_type, 12 ) - perform_test( numeric_type, 13 ) - perform_test( numeric_type, 14 ) - perform_test( numeric_type, 15 ) - perform_test( numeric_type, 16 ) - perform_test( numeric_type, 17 ) - perform_test( numeric_type, 18 ) - perform_test( numeric_type, 19 ) - perform_test( numeric_type, 20 ) - perform_test( numeric_type, 21 ) - perform_test( numeric_type, 22 ) - - #undef perform_test - - return result; -} diff --git a/license.txt b/license.txt deleted file mode 100644 index b83b4dc..0000000 --- a/license.txt +++ /dev/null @@ -1,22 +0,0 @@ -MIT License - -Copyright (c) 1999-2024 Arash Partow - -Permission is hereby granted, free of charge, to any person obtaining -a copy of this software and associated documentation files (the -"Software"), to deal in the Software without restriction, including -without limitation the rights to use, copy, modify, merge, publish, -distribute, sublicense, and/or sell copies of the Software, and to -permit persons to whom the Software is furnished to do so, subject to -the following conditions: - -The above copyright notice and this permission notice shall be -included in all copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, -EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF -MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. -IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY -CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, -TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE -SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. diff --git a/readme.txt b/readme.txt deleted file mode 100644 index 38a40e4..0000000 --- a/readme.txt +++ /dev/null @@ -1,6238 +0,0 @@ -C++ Mathematical Expression Toolkit Library Documentation - - Section 00 - Introduction - Section 01 - Capabilities - Section 02 - Example Expressions - Section 03 - Copyright Notice - Section 04 - Downloads & Updates - Section 05 - Installation - Section 06 - Compilation - Section 07 - Compiler Compatibility - Section 08 - Built-In Operations & Functions - Section 09 - Fundamental Types - Section 10 - Components - Section 11 - Compilation Options - Section 12 - Expression Structures - Section 13 - Variable, Vector & String Definition - Section 14 - Vector Processing - Section 15 - User Defined Functions - Section 16 - Expression Dependents - Section 17 - Hierarchies Of Symbol Tables - Section 18 - Unknown Unknowns - Section 19 - Enabling & Disabling Features - Section 20 - Expression Return Values - Section 21 - Compilation Errors - Section 22 - Runtime Library Packages - Section 23 - Helpers & Utils - Section 24 - Runtime Checks - Section 25 - Benchmarking - Section 26 - Exprtk Notes - Section 27 - Simple Exprtk Example - Section 28 - Build Options - Section 29 - Files - Section 30 - Language Structure - - -[SECTION 00 - INTRODUCTION] -The C++ Mathematical Expression Toolkit Library (ExprTk) is a simple -to use, easy to integrate and extremely efficient run-time -mathematical expression parsing and evaluation engine. The parsing -engine supports numerous forms of functional and logic processing -semantics and is easily extensible. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 01 - CAPABILITIES] -The ExprTk expression evaluator supports the following fundamental -arithmetic operations, functions and processes: - - (00) Types: Scalar, Vector, String - - (01) Basic operators: +, -, *, /, %, ^ - - (02) Assignment: :=, +=, -=, *=, /=, %= - - (03) Equalities & - Inequalities: =, ==, <>, !=, <, <=, >, >= - - (04) Logic operators: and, mand, mor, nand, nor, not, or, shl, shr, - xnor, xor, true, false - - (05) Functions: abs, avg, ceil, clamp, equal, erf, erfc, exp, - expm1, floor, frac, log, log10, log1p, log2, - logn, max, min, mul, ncdf, not_equal, root, - round, roundn, sgn, sqrt, sum, swap, trunc - - (06) Trigonometry: acos, acosh, asin, asinh, atan, atanh, atan2, - cos, cosh, cot, csc, sec, sin, sinc, sinh, - tan, tanh, hypot, rad2deg, deg2grad, deg2rad, - grad2deg - - (07) Control - structures: if-then-else, ternary conditional, switch-case, - return-statement - - (08) Loop statements: while, for, repeat-until, break, continue - - (09) String - processing: in, like, ilike, concatenation - - (10) Optimisations: constant-folding, simple strength reduction and - dead code elimination - - (11) Runtime checks: vector bounds, string bounds, loop iteration, - execution-time bounds and compilation process - checkpointing, assert statements - - (12) Calculus: numerical integration and differentiation - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 02 - EXAMPLE EXPRESSIONS] -The following is a short listing of infix format based mathematical -expressions that can be parsed and evaluated using the ExprTk library. - - (01) sqrt(1 - (3 / x^2)) - (02) clamp(-1, sin(2 * pi * x) + cos(y / 2 * pi), +1) - (03) sin(2.34e-3 * x) - (04) if(((x[2] + 2) == 3) and ((y + 5) <= 9),1 + w, 2 / z) - (05) inrange(-2,m,+2) == if(({-2 <= m} and [m <= +2]),1,0) - (06) ({1/1}*[1/2]+(1/3))-{1/4}^[1/5]+(1/6)-({1/7}+[1/8]*(1/9)) - (07) a * exp(2.2 / 3.3 * t) + c - (08) z := x + sin(2.567 * pi / y) - (09) u := 2.123 * {pi * z} / (w := x + cos(y / pi)) - (10) 2x + 3y + 4z + 5w == 2 * x + 3 * y + 4 * z + 5 * w - (11) 3(x + y) / 2.9 + 1.234e+12 == 3 * (x + y) / 2.9 + 1.234e+12 - (12) (x + y)3.3 + 1 / 4.5 == [x + y] * 3.3 + 1 / 4.5 - (13) (x + y[i])z + 1.1 / 2.7 == (x + y[i]) * z + 1.1 / 2.7 - (14) (sin(x / pi) cos(2y) + 1) == (sin(x / pi) * cos(2 * y) + 1) - (15) 75x^17 + 25.1x^5 - 35x^4 - 15.2x^3 + 40x^2 - 15.3x + 1 - (16) (avg(x,y) <= x + y ? x - y : x * y) + 2.345 * pi / x - (17) while (x <= 100) { x -= 1; } - (18) x <= 'abc123' and (y in 'AString') or ('1x2y3z' != z) - (19) ((x + 'abc') like '*123*') or ('a123b' ilike y) - (20) sgn(+1.2^3.4z / -5.6y) <= {-7.8^9 / -10.11x } - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 03 - COPYRIGHT NOTICE] -Free use of the C++ Mathematical Expression Toolkit Library is -permitted under the guidelines and in accordance with the most current -version of the MIT License. - - (1) https://www.opensource.org/licenses/MIT - (2) SPDX-License-Identifier: MIT - (3) SPDX-FileCopyrightText : Copyright (C) 1999-2024 Arash Partow - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 04 - DOWNLOADS & UPDATES] -The most recent version of the C++ Mathematical Expression Toolkit -Library including all updates and tests can be found at the following -locations: - - (1) Download: https://www.partow.net/programming/exprtk/index.html - (2) Mirror Repository: https://github.com/ArashPartow/exprtk - https://github.com/ArashPartow/exprtk-extras - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 05 - INSTALLATION] -The header file exprtk.hpp should be placed in a project or system -include path (e.g: /usr/include/). - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 06 - COMPILATION] -The ExprTk package contains the ExprTk header, a set of simple -examples and a benchmark and unit test suite. The following is a list -of commands to build the various components: - - (a) For a complete build: make clean all - (b) For a PGO build: make clean pgo - (c) To strip executables: make strip_bin - (d) Execute valgrind check: make valgrind_check - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 07 - COMPILER COMPATIBILITY] -ExprTk has been built error and warning free using the following set -of C++ compilers: - - (*) GNU Compiler Collection (3.5+) - (*) Clang/LLVM (1.1+) - (*) Microsoft Visual Studio C++ Compiler (7.1+) - (*) Intel C++ Compiler (8.x+) - (*) AMD Optimizing C++ Compiler (1.2+) - (*) Nvidia C++ Compiler (19.x+) - (*) PGI C++ (10.x+) - (*) Circle C++ (circa: b81c37d2bb227c) - (*) IBM XL C/C++ (9.x+) - (*) C++ Builder (XE4+) - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 08 - BUILT-IN OPERATIONS & FUNCTIONS] - -(0) Arithmetic & Assignment Operators -+----------+---------------------------------------------------------+ -| OPERATOR | DEFINITION | -+----------+---------------------------------------------------------+ -| + | Addition between x and y. (eg: x + y) | -+----------+---------------------------------------------------------+ -| - | Subtraction between x and y. (eg: x - y) | -+----------+---------------------------------------------------------+ -| * | Multiplication between x and y. (eg: x * y) | -+----------+---------------------------------------------------------+ -| / | Division between x and y. (eg: x / y) | -+----------+---------------------------------------------------------+ -| % | Modulus of x with respect to y. (eg: x % y) | -+----------+---------------------------------------------------------+ -| ^ | x to the power of y. (eg: x ^ y) | -+----------+---------------------------------------------------------+ -| := | Assign the value of x to y. Where y is either a variable| -| | or vector type. (eg: y := x) | -+----------+---------------------------------------------------------+ -| += | Increment x by the value of the expression on the right | -| | hand side. Where x is either a variable or vector type. | -| | (eg: x += abs(y - z)) | -+----------+---------------------------------------------------------+ -| -= | Decrement x by the value of the expression on the right | -| | hand side. Where x is either a variable or vector type. | -| | (eg: x[i] -= abs(y + z)) | -+----------+---------------------------------------------------------+ -| *= | Assign the multiplication of x by the value of the | -| | expression on the righthand side to x. Where x is either| -| | a variable or vector type. | -| | (eg: x *= abs(y / z)) | -+----------+---------------------------------------------------------+ -| /= | Assign the division of x by the value of the expression | -| | on the right-hand side to x. Where x is either a | -| | variable or vector type. (eg: x[i + j] /= abs(y * z)) | -+----------+---------------------------------------------------------+ -| %= | Assign x modulo the value of the expression on the right| -| | hand side to x. Where x is either a variable or vector | -| | type. (eg: x[2] %= y ^ 2) | -+----------+---------------------------------------------------------+ - -(1) Equalities & Inequalities -+----------+---------------------------------------------------------+ -| OPERATOR | DEFINITION | -+----------+---------------------------------------------------------+ -| == or = | True only if x is strictly equal to y. (eg: x == y) | -+----------+---------------------------------------------------------+ -| <> or != | True only if x does not equal y. (eg: x <> y or x != y) | -+----------+---------------------------------------------------------+ -| < | True only if x is less than y. (eg: x < y) | -+----------+---------------------------------------------------------+ -| <= | True only if x is less than or equal to y. (eg: x <= y) | -+----------+---------------------------------------------------------+ -| > | True only if x is greater than y. (eg: x > y) | -+----------+---------------------------------------------------------+ -| >= | True only if x greater than or equal to y. (eg: x >= y) | -+----------+---------------------------------------------------------+ - -(2) Boolean Operations -+----------+---------------------------------------------------------+ -| OPERATOR | DEFINITION | -+----------+---------------------------------------------------------+ -| true | True state or any value other than zero (typically 1). | -+----------+---------------------------------------------------------+ -| false | False state, value of exactly zero. | -+----------+---------------------------------------------------------+ -| and | Logical AND, True only if x and y are both true. | -| | (eg: x and y) | -+----------+---------------------------------------------------------+ -| mand | Multi-input logical AND, True only if all inputs are | -| | true. Left to right short-circuiting of expressions. | -| | (eg: mand(x > y, z < w, u or v, w and x)) | -+----------+---------------------------------------------------------+ -| mor | Multi-input logical OR, True if at least one of the | -| | inputs are true. Left to right short-circuiting of | -| | expressions. (eg: mor(x > y, z < w, u or v, w and x)) | -+----------+---------------------------------------------------------+ -| nand | Logical NAND, True only if either x or y is false. | -| | (eg: x nand y) | -+----------+---------------------------------------------------------+ -| nor | Logical NOR, True only if the result of x or y is false | -| | (eg: x nor y) | -+----------+---------------------------------------------------------+ -| not | Logical NOT, Negate the logical sense of the input. | -| | (eg: not(x and y) == x nand y) | -+----------+---------------------------------------------------------+ -| or | Logical OR, True if either x or y is true. (eg: x or y) | -+----------+---------------------------------------------------------+ -| xor | Logical XOR, True only if the logical states of x and y | -| | differ. (eg: x xor y) | -+----------+---------------------------------------------------------+ -| xnor | Logical XNOR, True iff the biconditional of x and y is | -| | satisfied. (eg: x xnor y) | -+----------+---------------------------------------------------------+ -| & | Similar to AND but with left to right expression short | -| | circuiting optimisation. (eg: (x & y) == (y and x)) | -+----------+---------------------------------------------------------+ -| | | Similar to OR but with left to right expression short | -| | circuiting optimisation. (eg: (x | y) == (y or x)) | -+----------+---------------------------------------------------------+ - -(3) General Purpose Functions -+----------+---------------------------------------------------------+ -| FUNCTION | DEFINITION | -+----------+---------------------------------------------------------+ -| abs | Absolute value of x. (eg: abs(x)) | -+----------+---------------------------------------------------------+ -| avg | Average of all the inputs. | -| | (eg: avg(x,y,z,w,u,v) == (x + y + z + w + u + v) / 6) | -+----------+---------------------------------------------------------+ -| ceil | Smallest integer that is greater than or equal to x. | -+----------+---------------------------------------------------------+ -| clamp | Clamp x in range between r0 and r1, where r0 < r1. | -| | (eg: clamp(r0,x,r1)) | -+----------+---------------------------------------------------------+ -| equal | Equality test between x and y using normalised epsilon | -+----------+---------------------------------------------------------+ -| erf | Error function of x. (eg: erf(x)) | -+----------+---------------------------------------------------------+ -| erfc | Complimentary error function of x. (eg: erfc(x)) | -+----------+---------------------------------------------------------+ -| exp | e to the power of x. (eg: exp(x)) | -+----------+---------------------------------------------------------+ -| expm1 | e to the power of x minus 1, where x is very small. | -| | (eg: expm1(x)) | -+----------+---------------------------------------------------------+ -| floor | Largest integer that is less than or equal to x. | -| | (eg: floor(x)) | -+----------+---------------------------------------------------------+ -| frac | Fractional portion of x. (eg: frac(x)) | -+----------+---------------------------------------------------------+ -| hypot | Hypotenuse of x and y (eg: hypot(x,y) = sqrt(x*x + y*y))| -+----------+---------------------------------------------------------+ -| iclamp | Inverse-clamp x outside of the range r0 and r1. Where | -| | r0 < r1. If x is within the range it will snap to the | -| | closest bound. (eg: iclamp(r0,x,r1) | -+----------+---------------------------------------------------------+ -| inrange | In-range returns 'true' when x is within the range r0 | -| | and r1. Where r0 < r1. (eg: inrange(r0,x,r1) | -+----------+---------------------------------------------------------+ -| log | Natural logarithm of x. (eg: log(x)) | -+----------+---------------------------------------------------------+ -| log10 | Base 10 logarithm of x. (eg: log10(x)) | -+----------+---------------------------------------------------------+ -| log1p | Natural logarithm of 1 + x, where x is very small. | -| | (eg: log1p(x)) | -+----------+---------------------------------------------------------+ -| log2 | Base 2 logarithm of x. (eg: log2(x)) | -+----------+---------------------------------------------------------+ -| logn | Base N logarithm of x. where n is a positive integer. | -| | (eg: logn(x,8)) | -+----------+---------------------------------------------------------+ -| max | Largest value of all the inputs. (eg: max(x,y,z,w,u,v)) | -+----------+---------------------------------------------------------+ -| min | Smallest value of all the inputs. (eg: min(x,y,z,w,u)) | -+----------+---------------------------------------------------------+ -| mul | Product of all the inputs. | -| | (eg: mul(x,y,z,w,u,v,t) == (x * y * z * w * u * v * t)) | -+----------+---------------------------------------------------------+ -| ncdf | Normal cumulative distribution function. (eg: ncdf(x)) | -+----------+---------------------------------------------------------+ -| not_equal| Not-equal test between x and y using normalised epsilon | -+----------+---------------------------------------------------------+ -| pow | x to the power of y. (eg: pow(x,y) == x ^ y) | -+----------+---------------------------------------------------------+ -| root | Nth-Root of x. where n is a positive integer. | -| | (eg: root(x,3) == x^(1/3)) | -+----------+---------------------------------------------------------+ -| round | Round x to the nearest integer. (eg: round(x)) | -+----------+---------------------------------------------------------+ -| roundn | Round x to n decimal places (eg: roundn(x,3)) | -| | where n > 0 and is an integer. | -| | (eg: roundn(1.2345678,4) == 1.2346) | -+----------+---------------------------------------------------------+ -| sgn | Sign of x, -1 where x < 0, +1 where x > 0, else zero. | -| | (eg: sgn(x)) | -+----------+---------------------------------------------------------+ -| sqrt | Square root of x, where x >= 0. (eg: sqrt(x)) | -+----------+---------------------------------------------------------+ -| sum | Sum of all the inputs. | -| | (eg: sum(x,y,z,w,u,v,t) == (x + y + z + w + u + v + t)) | -+----------+---------------------------------------------------------+ -| swap | Swap the values of the variables x and y and return the | -| <=> | current value of y. (eg: swap(x,y) or x <=> y) | -+----------+---------------------------------------------------------+ -| trunc | Integer portion of x. (eg: trunc(x)) | -+----------+---------------------------------------------------------+ - -(4) Trigonometry Functions -+----------+---------------------------------------------------------+ -| FUNCTION | DEFINITION | -+----------+---------------------------------------------------------+ -| acos | Arc cosine of x expressed in radians. Interval [-1,+1] | -| | (eg: acos(x)) | -+----------+---------------------------------------------------------+ -| acosh | Inverse hyperbolic cosine of x expressed in radians. | -| | (eg: acosh(x)) | -+----------+---------------------------------------------------------+ -| asin | Arc sine of x expressed in radians. Interval [-1,+1] | -| | (eg: asin(x)) | -+----------+---------------------------------------------------------+ -| asinh | Inverse hyperbolic sine of x expressed in radians. | -| | (eg: asinh(x)) | -+----------+---------------------------------------------------------+ -| atan | Arc tangent of x expressed in radians. Interval [-1,+1] | -| | (eg: atan(x)) | -+----------+---------------------------------------------------------+ -| atan2 | Arc tangent of (x / y) expressed in radians. [-pi,+pi] | -| | eg: atan2(x,y) | -+----------+---------------------------------------------------------+ -| atanh | Inverse hyperbolic tangent of x expressed in radians. | -| | (eg: atanh(x)) | -+----------+---------------------------------------------------------+ -| cos | Cosine of x. (eg: cos(x)) | -+----------+---------------------------------------------------------+ -| cosh | Hyperbolic cosine of x. (eg: cosh(x)) | -+----------+---------------------------------------------------------+ -| cot | Cotangent of x. (eg: cot(x)) | -+----------+---------------------------------------------------------+ -| csc | Cosecant of x. (eg: csc(x)) | -+----------+---------------------------------------------------------+ -| sec | Secant of x. (eg: sec(x)) | -+----------+---------------------------------------------------------+ -| sin | Sine of x. (eg: sin(x)) | -+----------+---------------------------------------------------------+ -| sinc | Sine cardinal of x. (eg: sinc(x)) | -+----------+---------------------------------------------------------+ -| sinh | Hyperbolic sine of x. (eg: sinh(x)) | -+----------+---------------------------------------------------------+ -| tan | Tangent of x. (eg: tan(x)) | -+----------+---------------------------------------------------------+ -| tanh | Hyperbolic tangent of x. (eg: tanh(x)) | -+----------+---------------------------------------------------------+ -| deg2rad | Convert x from degrees to radians. (eg: deg2rad(x)) | -+----------+---------------------------------------------------------+ -| deg2grad | Convert x from degrees to gradians. (eg: deg2grad(x)) | -+----------+---------------------------------------------------------+ -| rad2deg | Convert x from radians to degrees. (eg: rad2deg(x)) | -+----------+---------------------------------------------------------+ -| grad2deg | Convert x from gradians to degrees. (eg: grad2deg(x)) | -+----------+---------------------------------------------------------+ - -(5) String Processing -+----------+---------------------------------------------------------+ -| FUNCTION | DEFINITION | -+----------+---------------------------------------------------------+ -| = , == | All common equality/inequality operators are applicable | -| !=, <> | to strings and are applied in a case sensitive manner. | -| <=, >= | In the following example x, y and z are of type string. | -| < , > | (eg: not((x <= 'AbC') and ('1x2y3z' <> y)) or (z == x) | -+----------+---------------------------------------------------------+ -| in | True only if x is a substring of y. | -| | (eg: x in y or 'abc' in 'abcdefgh') | -+----------+---------------------------------------------------------+ -| like | True only if the string x matches the pattern y. | -| | Available wildcard characters are '*' and '?' denoting | -| | zero or more and zero or one matches respectively. | -| | (eg: x like y or 'abcdefgh' like 'a?d*h') | -+----------+---------------------------------------------------------+ -| ilike | True only if the string x matches the pattern y in a | -| | case insensitive manner. Available wildcard characters | -| | are '*' and '?' denoting zero or more and zero or one | -| | matches respectively. | -| | (eg: x ilike y or 'a1B2c3D4e5F6g7H' ilike 'a?d*h') | -+----------+---------------------------------------------------------+ -| [r0:r1] | The closed interval[r0,r1] of the specified string. | -| | eg: Given a string x with a value of 'abcdefgh' then: | -| | 1. x[1:4] == 'bcde' | -| | 2. x[ :4] == x[:8 / 2] == 'abcde' | -| | 3. x[2 + 1: ] == x[3:] =='defgh' | -| | 4. x[ : ] == x[:] == 'abcdefgh' | -| | 5. x[4/2:3+1] == x[2:4] == 'cde' | -| | | -| | Note: Both r0 and r1 are assumed to be integers, where | -| | r0 <= r1. They may also be the result of an expression, | -| | in the event they have fractional components truncation | -| | shall be performed. (eg: 1.67 --> 1) | -+----------+---------------------------------------------------------+ -| := | Assign the value of x to y. Where y is a mutable string | -| | or string range and x is either a string or a string | -| | range. eg: | -| | 1. y := x | -| | 2. y := 'abc' | -| | 3. y := x[:i + j] | -| | 4. y := '0123456789'[2:7] | -| | 5. y := '0123456789'[2i + 1:7] | -| | 6. y := (x := '0123456789'[2:7]) | -| | 7. y[i:j] := x | -| | 8. y[i:j] := (x + 'abcdefg'[8 / 4:5])[m:n] | -| | | -| | Note: For options 7 and 8 the shorter of the two ranges | -| | will denote the number characters that are to be copied.| -+----------+---------------------------------------------------------+ -| + | Concatenation of x and y. Where x and y are strings or | -| | string ranges. eg | -| | 1. x + y | -| | 2. x + 'abc' | -| | 3. x + y[:i + j] | -| | 4. x[i:j] + y[2:3] + '0123456789'[2:7] | -| | 5. 'abc' + x + y | -| | 6. 'abc' + '1234567' | -| | 7. (x + 'a1B2c3D4' + y)[i:2j] | -+----------+---------------------------------------------------------+ -| += | Append to x the value of y. Where x is a mutable string | -| | and y is either a string or a string range. eg: | -| | 1. x += y | -| | 2. x += 'abc' | -| | 3. x += y[:i + j] + 'abc' | -| | 4. x += '0123456789'[2:7] | -+----------+---------------------------------------------------------+ -| <=> | Swap the values of x and y. Where x and y are mutable | -| | strings. (eg: x <=> y) | -+----------+---------------------------------------------------------+ -| [] | The string size operator returns the size of the string | -| | being actioned. | -| | eg: | -| | 1. 'abc'[] == 3 | -| | 2. var max_str_length := max(s0[], s1[], s2[], s3[]) | -| | 3. ('abc' + 'd')[] == 6 | -| | 4. (('abc' + 'xyz')[1:4])[] == 4 | -+----------+---------------------------------------------------------+ - -(6) Control Structures -+----------+---------------------------------------------------------+ -|STRUCTURE | DEFINITION | -+----------+---------------------------------------------------------+ -| if | If x is true then return y else return z. | -| | eg: | -| | 1. if (x, y, z) | -| | 2. if ((x + 1) > 2y, z + 1, w / v) | -| | 3. if (x > y) z; | -| | 4. if (x <= 2*y) { z + w }; | -+----------+---------------------------------------------------------+ -| if-else | The if-else/else-if statement. Subject to the condition | -| | branch the statement will return either the value of the| -| | consequent or the alternative branch. | -| | eg: | -| | 1. if (x > y) z; else w; | -| | 2. if (x > y) z; else if (w != u) v; | -| | 3. if (x < y) { z; w + 1; } else u; | -| | 4. if ((x != y) and (z > w)) | -| | { | -| | y := sin(x) / u; | -| | z := w + 1; | -| | } | -| | else if (x > (z + 1)) | -| | { | -| | w := abs (x - y) + z; | -| | u := (x + 1) > 2y ? 2u : 3u; | -| | } | -+----------+---------------------------------------------------------+ -| switch | The first true case condition that is encountered will | -| | determine the result of the switch. If none of the case | -| | conditions hold true, the default action is assumed as | -| | the final return value. This is sometimes also known as | -| | a multi-way branch mechanism. | -| | eg: | -| | switch | -| | { | -| | case x > (y + z) : 2 * x / abs(y - z); | -| | case x < 3 : sin(x + y); | -| | default : 1 + x; | -| | } | -+----------+---------------------------------------------------------+ -| while | The structure will repeatedly evaluate the internal | -| | statement(s) 'while' the condition is true. The final | -| | statement in the final iteration shall be used as the | -| | return value of the loop. | -| | eg: | -| | while ((x -= 1) > 0) | -| | { | -| | y := x + z; | -| | w := u + y; | -| | } | -+----------+---------------------------------------------------------+ -| repeat/ | The structure will repeatedly evaluate the internal | -| until | statement(s) 'until' the condition is true. The final | -| | statement in the final iteration shall be used as the | -| | return value of the loop. | -| | eg: | -| | repeat | -| | y := x + z; | -| | w := u + y; | -| | until ((x += 1) > 100) | -+----------+---------------------------------------------------------+ -| for | The structure will repeatedly evaluate the internal | -| | statement(s) while the condition is true. On each loop | -| | iteration, an 'incrementing' expression is evaluated. | -| | The conditional is mandatory whereas the initialiser | -| | and incrementing expressions are optional. | -| | eg: | -| | for (var x := 0; (x < n) and (x != y); x += 1) | -| | { | -| | y := y + x / 2 - z; | -| | w := u + y; | -| | } | -+----------+---------------------------------------------------------+ -| break | Break terminates the execution of the nearest enclosed | -| break[] | loop, allowing for the execution to continue on external| -| | to the loop. The default break statement will set the | -| | return value of the loop to NaN, where as the return | -| | based form will set the value to that of the break | -| | expression. | -| | eg: | -| | while ((i += 1) < 10) | -| | { | -| | if (i < 5) | -| | j -= i + 2; | -| | else if (i % 2 == 0) | -| | break; | -| | else | -| | break[2i + 3]; | -| | } | -+----------+---------------------------------------------------------+ -| continue | Continue results in the remaining portion of the nearest| -| | enclosing loop body to be skipped. | -| | eg: | -| | for (var i := 0; i < 10; i += 1) | -| | { | -| | if (i < 5) | -| | continue; | -| | j -= i + 2; | -| | } | -+----------+---------------------------------------------------------+ -| return | Return immediately from within the current expression. | -| | With the option of passing back a variable number of | -| | values (scalar, vector or string). eg: | -| | 1. return [1]; | -| | 2. return [x, 'abx']; | -| | 3. return [x, x + y,'abx']; | -| | 4. return []; | -| | 5. if (x < y) | -| | return [x, x - y, 'result-set1', 123.456]; | -| | else | -| | return [y, x + y, 'result-set2']; | -+----------+---------------------------------------------------------+ -| ?: | Ternary conditional statement, similar to that of the | -| | above denoted if-statement. | -| | eg: | -| | 1. x ? y : z | -| | 2. x + 1 > 2y ? z + 1 : (w / v) | -| | 3. min(x,y) > z ? (x < y + 1) ? x : y : (w * v) | -+----------+---------------------------------------------------------+ -| ~ | Evaluate each sub-expression, then return as the result | -| | the value of the last sub-expression. This is sometimes | -| | known as multiple sequence point evaluation. | -| | eg: | -| | ~(i := x + 1, j := y / z, k := sin(w/u)) == (sin(w/u))) | -| | ~{i := x + 1; j := y / z; k := sin(w/u)} == (sin(w/u))) | -+----------+---------------------------------------------------------+ -| [*] | Evaluate any consequent for which its case statement is | -| | true. The return value will be either zero or the result| -| | of the last consequent to have been evaluated. | -| | eg: | -| | [*] | -| | { | -| | case (x + 1) > (y - 2) : x := z / 2 + sin(y / pi); | -| | case (x + 2) < abs(y + 3) : w / 4 + min(5y,9); | -| | case (x + 3) == (y * 4) : y := abs(z / 6) + 7y; | -| | } | -+----------+---------------------------------------------------------+ -| [] | The vector size operator returns the size of the vector | -| | being actioned. | -| | eg: | -| | 1. v[] | -| | 2. max_size := max(v0[],v1[],v2[],v3[]) | -+----------+---------------------------------------------------------+ - -Note01: In the tables above, the symbols x, y, z, w, u and v where -appropriate may represent any of one the following: - - 1. Literal numeric/string value - 2. A variable - 3. A vector element - 4. A vector - 5. A string - 6. An expression comprised of [1], [2] or [3] (eg: 2 + x / vec[3]) - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 09 - FUNDAMENTAL TYPES] -ExprTk supports three fundamental types which can be used freely in -expressions. The types are as follows: - - (1) Scalar - (2) Vector - (3) String - - -(1) Scalar Type -The scalar type is a singular numeric value. The underlying type is -that used to specialise the ExprTk components (float, double, long -double, MPFR et al). - - -(2) Vector Type -The vector type is a fixed size sequence of contiguous scalar values. -A vector can be indexed resulting in a scalar value. Operations -between a vector and scalar will result in a vector with a size equal -to that of the original vector, whereas operations between vectors -will result in a vector of size equal to that of the smaller of the -two. In both mentioned cases, the operations will occur element-wise. - - -(3) String Type -The string type is a variable length sequence of 8-bit chars. Strings -can be assigned and concatenated to one another, they can also be -manipulated via sub-ranges using the range definition syntax. Strings -however can not interact with scalar or vector types. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 10 - COMPONENTS] -There are three primary components, that are specialised upon a given -numeric type, which make up the core of ExprTk. The components are as -follows: - - (1) Symbol Table exprtk::symbol_table - (2) Expression exprtk::expression - (3) Parser exprtk::parser - - -(1) Symbol Table -A structure that is used to store references to variables, constants -and functions that are to be used within expressions. Furthermore in -the context of composited recursive functions the symbol table can -also be thought of as a simple representation of a stack specific for -the expression(s) that reference it. The following is a list of the -types a symbol table can handle: - - (a) Numeric variables - (b) Numeric constants - (c) Numeric vector elements - (d) String variables - (e) String constants - (f) Functions - (g) Vararg functions - - -During the compilation process if an expression is found to require -any of the elements noted above, the expression's associated -symbol_table will be queried for the element and if present a -reference to the element will be embedded within the expression's AST. -This allows for the original element to be modified independently of -the expression instance and to also allow the expression to be -evaluated using the current value of the element. - -The example below demonstrates the relationship between variables, -symbol_table and expression. Note the variables are modified as they -normally would in a program, and when the expression is evaluated the -current values assigned to the variables shall be used. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - double x = 0; - double y = 0; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - std::string expression_string = "x * y + 3"; - - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - expression.register_symbol_table(symbol_table); - - parser.compile(expression_string,expression); - - x = 1.0; - y = 2.0; - expression.value(); // 1 * 2 + 3 - - x = 3.7; - expression.value(); // 3.7 * 2 + 3 - - y = -9.0; - expression.value(); // 3.7 * -9 + 3 - - // 'x * -9 + 3' for x in range of [0,100) in steps of 0.0001 - for (x = 0.0; x < 100.0; x += 0.0001) - { - expression.value(); // x * -9 + 3 - } - - -Note02: Any variable reference provided to a given symbol_table -instance, must have a lifetime at least as long as the lifetime of the -symbol_table instance. In the event the variable reference is -invalidated before the symbol_table or any dependent expression -instances have been destructed, then any associated expression -evaluations or variable referencing via the symbol_table instance will -result in undefined behaviour. - -The following bit of code instantiates a symbol_table and expression -instance, then proceeds to demonstrate various ways in which -references to variables can be added to the symbol_table, and how -those references are subsequently invalidated resulting in various -forms of undefined behaviour. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - - symbol_table_t symbol_table; - expression_t expression; - - std::deque y {1.1, 2.2, 3.3}; - std::vector z {4.4, 5.5, 6.6}; - double* w = new double(123.456); - - { - double x = 123.4567; - symbol_table.add_variable("x", x); - } // Reference to variable x has been invalidated - - - symbol_table.add_variable("y", y.back()); - - y.pop_back(); // Reference to variable y has been invalidated - - - symbol_table.add_variable("z", z.front()); - - z.erase(z.begin()); - // Reference to variable z has been invalidated - - symbol_table.add_variable("w", *w); - - delete w; // Reference to variable w has been invalidated - - const std::string expression_string = "x + y / z * w"; - - // Compilation of expression will succeed - parser.compile(expression_string,expression); - - expression.value(); - // Evaluation will result in undefined behaviour - // due to 'x' and 'w' having been destroyed. - - symbol_table.get_variable("x")->ref() = 135.791; - // Assignment will result in undefined behaviour - - -A compiled expression that references variables from a symbol_table is -dependent on that symbol_table instance and the variables it holds -being valid. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - - symbol_table_t symbol_table; - expression_t expression; - - double x = 123.456; - - symbol_table.add_variable("x", x); - - const std::string expression_string = "(x + 1) / 2"; - - // Compilation of the expression will succeed - parser.compile(expression_string,expression); - - // Clear all variables from symbol_table - symbol_table.clear(); - - expression.value(); - // Evaluation will result in undefined behaviour - // because the reference to 'x' having been destroyed - // during the clearing of the symbol_table - - -In the above example, an expression is compiled that references -variable "x". As part of the compilation process the node holding the -variable "x" is obtained from the symbol_table and embedded in the AST -of the expression - in short the expression is now referencing the -node that holds the variable "x". The following diagram depicts the -dependencies between the variable x, the symbol table and the -expression: - - +--[Symbol Table]--+ - | | - | +- ------+ | - | | x-node | | - | +-----A--+ | +--[Expression]--+ - +---|---|----------+ | +---------+ | - v | | | A.S.T | | - | +--------<--------[.] | | - +-----+ | +---------+ | - | +----------------+ - +-v-[variable]---+ - | x: 123.456 | - +----------------+ - - -When the clear method is called on the symbol table the X-Node is -destroyed, so now the expression is referencing a node that has been -destroyed. From this point onwards any attempts to reference the -expression instance will result in undefined behaviour. Simply put the -above example violates the requirement that the lifetime of any -objects referenced by expressions should exceed the lifetime of the -expression instance. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - - symbol_table_t symbol_table; - expression_t expression; - - double x = 123.456; - - symbol_table.add_variable("x", x); - - const std::string expression_string = "(x + 1) / 2"; - - // Compilation of the expression will succeed - parser.compile(expression_string,expression); - - expression.value(); - - // Release the expression and its dependents - expression.release(); - - // Clear all variables from symbol_table - symbol_table.clear(); - - expression.value(); - // Will return null_node value of NaN - - -In the above example the expression is released before the associated -symbol_table is cleared of its variables, which resolves the undefined -behaviour issue noted in the previous example. - -Note03: It is possible to register multiple symbol_tables with a -single expression object. In the event an expression has multiple -symbol tables, and where there exists conflicts between symbols, the -compilation stage will resolve the conflicts based on the order of -registration of the symbol_tables to the expression. For a more -expansive discussion please review section [17 - Hierarchies Of Symbol -Tables] - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - symbol_table_t symbol_table0; - symbol_table_t symbol_table1; - - expression_t expression; - parser_t parser; - - double x0 = 123.0; - double x1 = 678.0; - - std::string expression_string = "x + 1"; - - symbol_table0.add_variable("x",x0); - symbol_table1.add_variable("x",x1); - - expression.register_symbol_table(symbol_table0); - expression.register_symbol_table(symbol_table1); - - parser.compile(expression_string,expression); - - expression.value(); // 123 + 1 - - -The symbol table supports adding references to external instances of -types that can be accessed within expressions via the following -methods: - - 1. bool add_variable (const std::string& name, scalar_t& ) - 2. bool add_constant (const std::string& name, const scalar_t& ) - 3. bool add_stringvar (const std::string& name, std::string& ) - 4. bool add_vector (const std::string& name, vector_type& ) - 5. bool add_function (const std::string& name, function_t& ) - 6. bool create_stringvar(const std::string& name,const std::string&) - 7. bool create_variable (const std::string& name, const T& ) - - -Note04: The 'vector' type must be comprised from a contiguous array of -scalars with a size that is larger than zero. The vector type itself -can be any one of the following: - - 1. std::vector - 2. scalar_t(&v)[N] - 3. scalar_t* and array size - 4. exprtk::vector_view - - -When registering a variable, vector, string or function with an -instance of a symbol_table, the call to 'add_...' may fail and return -a false result due to one or more of the following reasons: - - 1. Variable name contains invalid characters or is ill-formed - 2. Variable name conflicts with a reserved word (eg: 'while') - 3. Variable name conflicts with a previously registered variable - 4. A vector of size (length) zero is being registered - 5. A free function exceeding fifteen parameters is being registered - 6. The symbol_table instance is in an invalid state - - -Note05: The symbol_table has a method called clear, which when invoked -will clear all variables, vectors, strings and functions registered -with the symbol_table instance. If this method is to be called, then -one must make sure that all compiled expression instances that -reference variables belonging to that symbol_table instance are -released (aka call release method on expression) before calling the -clear method on the symbol_table instance, otherwise undefined -behaviours will occur. - -A further property of symbol tables is that they can be classified at -instantiation as either being mutable (by default) or immutable. This -property determines if variables, vectors or strings registered with -the symbol table can undergo modifications within expressions that -reference them. The following demonstrates construction of an -immutable symbol table instance: - - symbol_table_t immutable_symbol_table - (symbol_table_t::symtab_mutability_type::e_immutable); - - -When a symbol table, that has been constructed as being immutable, is -registered with an expression, any statements in the expression string -that modify the variables that are managed by the immutable symbol -table will result in a compilation error. The operations that trigger -the mutability constraint are the following assignment operators: - - 1. Assignment: := - 2. Assign operation: +=, -=, *=, /= , %= - - const std::string expression_str = "x += x + 123.456"; - - symbol_table_t immutable_symbol_table - (symbol_table_t::symtab_mutability_type::e_immutable); - - T x = 0.0; - - immutable_symbol_table.add_variable("x" , x); - - expression_t expression; - expression.register_symbol_table(immutable_symbol_table); - - parser_t parser; - - parser.compile(expression_str, expression); - // Compile error because of assignment to variable x - - -In the above example, variable x is registered to an immutable symbol -table, making it an immutable variable within the context of any -expressions that reference it. The expression string being compiled -uses the addition assignment operator which will modify the value of -variable x. The compilation process detects this semantic violation -and proceeds to halt compilation and return the appropriate error. - -One of the main reasons for this functionality is that, one may want -the immutability properties that come with constness of a variable -such as scalars, vectors and strings, but not necessarily the -accompanying compile time const-folding optimisations, that would -result in the value of the variables being retrieved only once at -compile time, causing external updates to the variables to not be part -of the expression evaluation. - - symbol_table_t immutable_symbol_table - (symbol_table_t::symtab_mutability_type::e_immutable); - - T x = 0.0; - - const std::string expression_str = "x + (y + y)"; - - immutable_symbol_table.add_variable("x" , x ); - immutable_symbol_table.add_constant("y" , 123.0); - - expression_t expression; - expression.register_symbol_table(immutable_symbol_table); - - parser_t parser; - parser.compile(expression_str, expression); - - for (; x < 10.0; ++x) - { - const auto expected_value = x + (123.0 + 123.0); - const auto result_value = expression.value(); - assert(expression.value() != expected_value); - } - - -In the above example, there are two variables X and Y. Where Y is a -constant and X is a normal variable. Both are registered with a symbol -table that is immutable. The expression when compiled will result in -the "(y + y)" part being const-folded at compile time to the literal -value of 246. Whereas the current value of X, being updated via the -for-loop, externally to the expression and the symbol table shall be -observable to the expression upon each evaluation. - - -(2) Expression -A structure that holds an Abstract Syntax Tree or AST for a specified -expression and is used to evaluate said expression. Evaluation of the -expression is accomplished by performing a post-order traversal of the -AST. If a compiled Expression uses variables or user defined -functions, it will have an associated Symbol Table, which will contain -references to said variables, functions or strings. An example AST -structure for the denoted expression is as follows: - -Expression: z := (x + y^-2.345) * sin(pi / min(w - 7.3,v)) - - [Root] - | - [Assignment] - ________/ \_____ - / \ - Variable(z) [Multiplication] - ____________/ \___________ - / \ - / [Unary-Function(sin)] - [Addition] | - ____/ \____ [Division] - / \ ___/ \___ - Variable(x) [Exponentiation] / \ - ______/ \______ Constant(pi) [Binary-Function(min)] - / \ ____/ \___ - Variable(y) [Negation] / \ - | / Variable(v) - Constant(2.345) / - / - [Subtraction] - ____/ \____ - / \ - Variable(w) Constant(7.3) - - -The above denoted AST shall be evaluated in the following order: - - (01) Load Variable (z) (10) Load Constant (7.3) - (02) Load Variable (x) (11) Subtraction (09 & 10) - (03) Load Variable (y) (12) Load Variable (v) - (04) Load Constant (2.345) (13) Min (11 & 12) - (05) Negation (04) (14) Division (08 & 13) - (06) Exponentiation (03 & 05) (15) Sin (14) - (07) Addition (02 & 06) (16) Multiplication (07 & 15) - (08) Load Constant (pi) (17) Assignment (01 & 16) - (09) Load Variable (w) - - -Generally an expression in ExprTk can be thought of as a free function -similar to those found in imperative languages. This form of pseudo -function will have a name, it may have a set of one or more inputs and -will return at least one value as its result. Furthermore the function -when invoked, may cause a side-effect that changes the state of the -host program. - -As an example the following is a pseudo-code definition of a free -function that performs a computation taking four inputs, modifying one -of them and returning a value based on some arbitrary calculation: - - ResultType foo(InputType x, InputType y, InputType z, InputType w) - { - w = 2 * x^y + z; // Side-Effect - return abs(x - y) / z; // Return Result - } - - -Given the above definition the following is a functionally equivalent -version using ExprTk: - - const std::string foo_str = - " w := 2 * x^y + z; " - " abs(x - y) / z; "; - - T x, y, z, w; - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_variable("w",w); - - expression_t foo; - foo.register_symbol_table(symbol_table); - - parser_t parser; - if (!parser.compile(foo_str,foo)) - { - // Error in expression... - return; - } - - T result = foo.value(); - - -(3) Parser -A component which takes as input a string representation of an -expression and attempts to compile said input with the result being an -instance of Expression. If an error is encountered during the -compilation process, the parser will stop compiling and return an -error status code, with a more detailed description of the error(s) -and its location within the input provided by the 'get_error' -interface. - -Note06: The exprtk::expression and exprtk::symbol_table components are -reference counted entities. Copy constructing or assigning to or from -either component will result in a shallow copy and a reference count -increment, rather than a complete replication. Furthermore the -expression and symbol_table components being Default-Constructible, -Copy-Constructible and Copy-Assignable make them compatible with -various C++ standard library containers and adaptors such as -std::vector, std::map, std::stack etc. - -The following is an example of two unique expressions, after having -been instantiated and compiled, one expression is assigned to the -other. The diagrams depict their initial and post assignment states, -including which control block each expression references and their -associated reference counts. - - - exprtk::expression e0; // constructed expression, eg: x + 1 - exprtk::expression e1; // constructed expression, eg: 2z + y - - +-----[ e0 cntrl block]----+ +-----[ e1 cntrl block]-----+ - | 1. Expression Node 'x+1' | | 1. Expression Node '2z+y' | - | 2. Ref Count: 1 |<-+ | 2. Ref Count: 1 |<-+ - +--------------------------+ | +---------------------------+ | - | | - +--[ e0 expression]--+ | +--[ e1 expression]--+ | - | 1. Reference to ]------+ | 1. Reference to ]-------+ - | e0 Control Block | | e1 Control Block | - +--------------------+ +--------------------+ - - - e0 = e1; // e0 and e1 are now 2z+y - - +-----[ e1 cntrl block]-----+ - | 1. Expression Node '2z+y' | - +----------->| 2. Ref Count: 2 |<----------+ - | +---------------------------+ | - | | - | +--[ e0 expression]--+ +--[ e1 expression]--+ | - +---[ 1. Reference to | | 1. Reference to ]---+ - | e1 Control Block | | e1 Control Block | - +--------------------+ +--------------------+ - -The reason for the above complexity and restrictions of deep copies -for the expression and symbol_table components is because expressions -may include user defined variables or functions. These are embedded as -references into the expression's AST. When copying an expression, said -references need to also be copied. If the references are blindly -copied, it will then result in two or more identical expressions -utilising the exact same references for variables. This obviously is -not the default assumed scenario and will give rise to non-obvious -behaviours when using the expressions in various contexts such as -multi-threading et al. - -The prescribed method for cloning an expression is to compile it from -its string form. Doing so will allow the 'user' to properly consider -the exact source of user defined variables and functions. - -Note07: The exprtk::parser is a non-copyable and non-thread safe -component, and should only be shared via either a reference, a shared -pointer or a std::ref mechanism, and considerations relating to -synchronisation taken into account where appropriate. The parser -represents an object factory, specifically a factory of expressions, -and generally should not be instantiated solely on a per expression -compilation basis. - -The following diagram and example depicts the flow of data and -operations for compiling multiple expressions via the parser and -inserting the newly minted exprtk::expression instances into a -std::vector. - - +----[exprtk::parser]---+ - | Expression Factory | - | parser_t::compile(...)| - +--> ~.~.~.~.~.~.~.~.~.~ ->--+ - | +-----------------------+ | - Expressions in | | Expressions as - string form ^ V exprtk::expression - | | instances - [s0:'x+1']--->--+ | | +-[e0: x+1] - | | | | - [s1:'2z+y']-->--+--+ +->+-[e1: 2z+y] - | | - [s2:'sin(k+w)']-+ +-[e2: sin(k+w)] - - - const std::string expression_str[3] = - { - "x + 1", - "2x + y", - "sin(k + w)" - }; - - std::vector expression_list; - - parser_t parser; - expression_t expression; - symbol_table_t symbol_table; - - expression.register_symbol_table(symbol_table); - - for (std::size_t i = 0; i < 3; ++i) - { - if (parser.compile(expression_str[i],expression)) - { - expression_list.push_back(expression); - } - else - std::cout << "Error in " << expression_str[i] << "\n"; - } - - for (auto& e : expression_list) - { - e.value(); - } - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 11 - COMPILATION OPTIONS] -The exprtk::parser when being instantiated takes as input a set of -options to be used during the compilation process of expressions. -An example instantiation of exprtk::parser where only the joiner, -commutative and strength reduction options are enabled is as follows: - - typedef exprtk::parser::settings_t settings_t; - - const std::size_t compile_options = - settings_t::e_joiner + - settings_t::e_commutative_check + - settings_t::e_strength_reduction; - - parser_t parser(compile_options); - - -Currently eight types of compile time options are supported, and -enabled by default. The options and their explanations are as follows: - - (1) Replacer - (2) Joiner - (3) Numeric Check - (4) Bracket Check - (5) Sequence Check - (6) Commutative Check - (7) Strength Reduction Check - (8) Stack And Node Depth Check - (9) Vector Size Check - - -(1) Replacer (e_replacer) -Enable replacement of specific tokens with other tokens. For example -the token "true" of type symbol shall be replaced with the numeric -token of value one. - - (a) (x < y) == true ---> (x < y) == 1 - (b) false == (x > y) ---> 0 == (x > y) - - -(2) Joiner (e_joiner) -Enable joining of multi-character operators that may have been -incorrectly disjoint in the string representation of the specified -expression. For example the consecutive tokens of ">" "=" will become -">=" representing the "greater than or equal to" operator. If not -properly resolved the original form will cause a compilation error. -The following is a listing of the scenarios that the joiner can -handle: - - (a) '>' '=' ---> '>=' (gte) - (b) '<' '=' ---> '<=' (lte) - (c) '=' '=' ---> '==' (equal) - (d) '!' '=' ---> '!=' (not-equal) - (e) '<' '>' ---> '<>' (not-equal) - (f) ':' '=' ---> ':=' (assignment) - (g) '+' '=' ---> '+=' (addition assignment) - (h) '-' '=' ---> '-=' (subtraction assignment) - (i) '*' '=' ---> '*=' (multiplication assignment) - (j) '/' '=' ---> '/=' (division assignment) - (k) '%' '=' ---> '%=' (modulo assignment) - (l) '+' '-' ---> '-' (subtraction) - (m) '-' '+' ---> '-' (subtraction) - (n) '-' '-' ---> '+' (addition) - (o) '<=' '>' ---> '<=>' (swap) - - -An example of the transformation that takes place is as follows: - - (a) (x > = y) and (z ! = w) ---> (x >= y) and (z != w) - - -(3) Numeric Check (e_numeric_check) -Enable validation of tokens representing numeric types so as to catch -any errors prior to the costly process of the main compilation step -commencing. - - -(4) Bracket Check (e_bracket_check) -Enable the check for validating the ordering of brackets in the -specified expression. - - -(5) Sequence Check (e_sequence_check) -Enable the check for validating that sequences of either pairs or -triplets of tokens make sense. For example the following sequence of -tokens when encountered will raise an error: - - (a) (x + * 3) ---> sequence error - - -(6) Commutative Check (e_commutative_check) -Enable the check that will transform sequences of pairs of tokens that -imply a multiplication operation. The following are some examples of -such transformations: - - (a) 2x ---> 2 * x - (b) 25x^3 ---> 25 * x^3 - (c) 3(x + 1) ---> 3 * (x + 1) - (d) (x + 1)4 ---> (x + 1) * 4 - (e) 5foo(x,y) ---> 5 * foo(x,y) - (f) foo(x,y)6 + 1 ---> foo(x,y) * 6 + 1 - (g) (4((2x)3)) ---> 4 * ((2 * x) * 3) - (h) w / (x - y)z ---> w / (x - y) * z - - -(7) Strength Reduction Check (e_strength_reduction) -Enable the use of strength reduction optimisations during the -compilation process. In ExprTk strength reduction optimisations -predominantly involve transforming sub-expressions into other forms -that are algebraically equivalent yet less costly to compute. The -following are examples of the various transformations that can occur: - - (a) (x / y) / z ---> x / (y * z) - (b) (x / y) / (z / w) ---> (x * w) / (y * z) - (c) (2 * x) - (2 * y) ---> 2 * (x - y) - (d) (2 / x) / (3 / y) ---> (2 / 3) / (x * y) - (e) (2 * x) * (3 * y) ---> 6 * (x * y) - (f) (2 * x) * (2 - 4 / 2) ---> 0 - (g) (3 - 6 / 2) / (2 * x) ---> 0 - (h) avg(x,y,z) * (2 - 4 / 2) ---> 0 - - -Note08: When using strength reduction in conjunction with expressions -whose inputs or sub-expressions may result in values nearing either of -the bounds of the underlying numeric type (eg: double), there may be -the possibility of a decrease in the precision of results. - -In the following example the given expression which represents an -attempt at computing the average between x and y will be transformed -as follows: - - (0.5 * x) + (y * 0.5) ---> 0.5 * (x + y) - -There may be situations where the above transformation will cause -numerical overflows and that the original form of the expression is -desired over the strength reduced form. In these situations it is best -to turn off strength reduction optimisations or to use a type with a -larger numerical bound. - - -(8) Stack And Node Depth Check -ExprTk incorporates a recursive descent parser. When parsing -expressions comprising inner sub-expressions, the recursive nature of -the parsing process causes the stack to grow. If the expression causes -the stack to grow beyond the stack size limit, this would lead to a -stackoverflow and its associated stack corruption and security -vulnerability issues. - -Similarly to parsing, evaluating an expression may cause the stack to -grow. Such things like user defined functions, composite functions and -the general nature of the AST being evaluated can cause the stack to -grow, and may result in potential stackoverflow issues as denoted -above. - -ExprTk provides a set of checks that prevent both of the above denoted -problems at compile time. These checks rely on two specific limits -being set on the parser settings instance, these limits are: - - 1. max_stack_depth (default: 400 ) - 2. max_node_depth (default: 10000) - - -The following demonstrates how these two parser parameters can be set: - - parser_t parser; - - parser.settings().set_max_stack_depth(100); - parser.settings().set_max_node_depth(200); - - -In the above code, during parsing if the stack depth reaches or -exceeds 100 levels, the parsing process will immediately halt and -return with a failure. Similarly, during synthesizing the AST nodes, -if the compilation process detects an AST tree depth exceeding 200 -levels the parsing process will halt and return a parsing failure. - - -(9) Vector Size Check -When defining an expression local vector, ExprTk uses a default max -vector size of two billion elements. One may want to limit the max -vector size to be either smaller or larger than the specified default -value. The max size value can be changed via the parser settings. - - parser_t parser; - - parser.settings().set_max_local_vector_size(1000000); - - std::string expression1 = "var v[1e6] := [123]"; - std::string expression2 = "var v[1e9] := [123]"; - - expression_t expression; - - parser.compile(expression1, expression); // compilation success - parser.compile(expression2, expression); // compilation error - - -In the above code, the max local vector size is set to one million -elements. During compilation of an expression if there is a vector -definition where the vector size exceeds the max vector size a -compilation error shall be emitted. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 12 - EXPRESSION STRUCTURES] -Exprtk supports mathematical expressions in numerous forms based on a -simple imperative programming model. This section will cover the -following topics related to general structure and programming of -expressions using ExprTk: - - (1) Multi-Statement Expressions - (2) Statements And Side-Effects - (3) Conditional Statements - (4) Special Functions - - -(1) Multi-Statement Expressions -Expressions in ExprTk can be comprised of one or more statements, which -may sometimes be called sub-expressions. The following are two -examples of expressions stored in std::string variables, the first a -single statement and the second a multi-statement expression: - - std::string single_statement = " z := x + y "; - - std::string multi_statement = " var temp := x; " - " x := y + z; " - " y := temp; "; - - -In a multi-statement expression, the final statement will determine -the overall result of the expression. In the following multi-statement -expression, the result of the expression when evaluated will be '2.3', -which will also be the value stored in the 'y' variable. - - z := x + y; - y := 2.3; - - -As demonstrated in the expression above, statements within an -expression are separated using the semi-colon ';' operator. In the -event two statements are not separated by a semi-colon, and the -implied multiplication feature is active (enabled by default), the -compiler will assume a multiplication operation between the two -statements. - -In the following example we have a multi-statement expression composed -of two variable definitions and initialisations for variables x and y -and two seemingly separate mathematical operations. - - var x:= 2; - var y:= 3; - x + 1 - y * 2 - - -However the result of the expression will not be 6 as may have been -assumed based on the calculation of 'y * 2', but rather the result -will be 8. This is because the compiler will have conjoined the two -mathematical statements into one via a multiplication operation. The -expression when compiled will actually evaluate as the following: - - var x:= 2; - var y:= 3; - x + 1 * y * 2; // 2 + 1 * 3 * 2 == 8 - - -In ExprTk any valid statement will itself return a value. This value -can further be used in conjunction with other statements. This -includes language structures such as if-statements, loops (for, while) -and the switch statement. Typically the last statement executed in the -given construct (conditional, loop etc), will be the value that is -returned. - -In the following example, the return value of the expression will be -11, which is the sum of the variable 'x' and the final value computed -within the loop body upon its last iteration: - - var x := 1; - x + for (var i := x; i < 10; i += 1) - { - i / 2; - i + 1; - } - - -(2) Statements And Side-Effects -Statements themselves may have side effects, which in-turn affect the -proceeding statements in multi-statement expressions. - -A statement is said to have a side-effect if it causes the state of -the expression to change in some way - this includes but is not -limited to the modification of the state of external variables used -within the expression. Currently the following actions being present -in a statement will cause it to have a side-effect: - - (a) Assignment operation (explicit or potentially) - (b) Invoking a user-defined function that has side-effects - -The following are examples of expressions where the side-effect status -of the statements (sub-expressions) within the expressions have been -noted: - - +-+----------------------+------------------------------+ - |#| Expression | Side Effect Status | - +-+----------------------+------------------------------+ - |0| x + y | False | - +-+----------------------+------------------------------+ - |1| z := x + y | True - Due to assignment | - +-+----------------------+------------------------------+ - |2| abs(x - y) | False | - +-+----------------------+------------------------------+ - |3| abs(x - y); | False | - | | z := (x += y); | True - Due to assignments | - +-+----------------------+------------------------------+ - |4| abs(x - y); | False | - | | z := (x += y); | True - Due to assignments | - +-+----------------------+------------------------------+ - |5| var t := abs(x - y); | True - Due to initialisation | - | | t + x; | False | - | | z := (x += y); | True - Due to assignments | - +-+----------------------+------------------------------+ - |6| foo(x - y) | True - user defined function | - +-+----------------------+------------------------------+ - - -Note09: In example 6 from the above set, it is assumed the user -defined function foo has been registered as having a side-effect. By -default all user defined functions are assumed to have side-effects, -unless they are configured in their constructors to not have side- -effects using the 'disable_has_side_effects' free function. For more -information review Section 15 - User Defined Functions sub-section 7 -Function Side-Effects. - -At this point we can see that there will be expressions composed of -certain kinds of statements that when executed will not affect the -nature of the expression's result. These statements are typically -called 'dead code'. These statements though not affecting the final -result will still be executed and as such they will consume processing -time that could otherwise be saved. As such ExprTk attempts to detect -and remove such statements from expressions. - -The 'Dead Code Elimination' (DCE) optimisation process, which is -enabled by default, will remove any statements that are determined to -not have a side-effect in a multi-statement expression, excluding the -final or last statement. - -By default the final statement in an expression will always be present -regardless of its side-effect status, as it is the statement whose -value shall be used as the result of the expression. - -In order to further explain the actions taken during the DCE process, -lets review the following expression: - - var x := 2; // Statement 1 - var y := x + 2; // Statement 2 - x + y; // Statement 3 - y := x + 3y; // Statement 4 - x - y; // Statement 5 - - -The above expression has five statements. Three of them (1, 2 and 4) -actively have side-effects. The first two are variable declaration and -initialisations, where as the third is due to an assignment operation. -There are two statements (3 and 5), that do not explicitly have -side-effects, however the latter, statement 5, is the final statement -in the expression and hence will be assumed to have a side-effect. - -During compilation when the DCE optimisation is applied to the above -expression, statement 3 will be removed from the expression, as it has -no bearing on the final result of expression, the rest of the -statements will all remain. The optimised form of the expression is as -follows: - - var x := 2; // Statement 1 - var y := x + 2; // Statement 2 - y := x + 3y; // Statement 3 - x - y; // Statement 4 - - -(3) Conditional Statements (If-Then-Else) -ExprTk supports two forms of conditional branching or otherwise known -as if-statements. The first form, is a simple function based -conditional statement, that takes exactly three input expressions: -condition, consequent and alternative. The following is an example -expression that utilises the function based if-statement. - - x := if (y < z, y + 1, 2 * z) - - -In the example above, if the condition 'y < z' is true, then the -consequent 'y + 1' will be evaluated, its value shall be returned and -subsequently assigned to the variable 'x'. Otherwise the alternative -'2 * z' will be evaluated and its value will be returned. This is -essentially the simplest form of an if-then-else statement. A simple -variation of the expression where the value of the if-statement is -used within another statement is as follows: - - x := 3 * if (y < z, y + 1, 2 * z) / 2 - - -The second form of if-statement resembles the standard syntax found in -most imperative languages. There are two variations of the statement: - - (a) If-Statement - (b) If-Then-Else Statement - - -(a) If-Statement -This version of the conditional statement returns the value of the -consequent expression when the condition expression is true, else it -will return a quiet NaN value as its result. - - Example 1: - x := if (y < z) y + 3; - - Example 2: - x := if (y < z) - { - y + 3 - }; - -The two example expressions above are equivalent. If the condition -'y < z' is true, the 'x' variable shall be assigned the value of the -consequent 'y + 3', otherwise it will be assigned the value of quiet -NaN. As previously discussed, if-statements are value returning -constructs, and if not properly terminated using a semi-colon, will -end-up combining with the next statement via a multiplication -operation. The following example will NOT result in the expected value -of 'w + x' being returned: - - x := if (y < z) y + 3 // missing semi-colon ';' - w + x - - -When the above supposed multi-statement expression is compiled, the -expression will have a multiplication inserted between the two -'intended' statements resulting in the unanticipated expression: - - x := (if (y < z) y + 3) * w + x - - -The solution to the above situation is to simply terminate the -conditional statement with a semi-colon as follows: - - x := if (y < z) y + 3; - w + x - - -(b) If-Then-Else Statement -The second variation of the if-statement is to allow for the use of -Else and Else-If cascading statements. Examples of such statements are -as follows: - - Example 1: Example 2: Example 3: - if (x < y) if (x < y) if (x > y + 1) - z := x + 3; { y := abs(x - z); - else y := z + x; else - y := x - z; z := x + 3; { - } y := z + x; - else z := x + 3; - y := x - z; }; - - - Example 4: Example 5: Example 6: - if (2 * x < max(y,3)) if (x < y) if (x < y or (x + z) > y) - { z := x + 3; { - y := z + x; else if (2y != z) z := x + 3; - z := x + 3; { y := x - z; - } z := x + 3; } - else if (2y - z) y := x - z; else if (abs(2y - z) >= 3) - y := x - z; } y := x - z; - else else - x * x; { - z := abs(x * x); - x * y * z; - }; - - -In the case where there is no final else statement and the flow -through the conditional arrives at this final point, the same rules -apply to this form of if-statement as to the previous. That is a quiet -NaN shall be returned as the result of the if-statement. Furthermore -the same requirements of terminating the statement with a semi-colon -apply. - -(4) Special Functions -The purpose of special functions in ExprTk is to provide compiler -generated equivalents of common mathematical expressions which can be -invoked by using the 'special function' syntax (eg: $f12(x,y,z) or -$f82(x,y,z,w)). - -Special functions dramatically decrease the total evaluation time of -expressions which would otherwise have been written using the common -form by reducing the total number of nodes in the evaluation tree of -an expression and by also leveraging the compiler's ability to -correctly optimise such expressions for a given architecture. - - 3-Parameter 4-Parameter - +-------------+-------------+ +--------------+------------------+ - | Prototype | Operation | | Prototype | Operation | - +-------------+-------------+ +--------------+------------------+ - $f00(x,y,z) | (x + y) / z $f48(x,y,z,w) | x + ((y + z) / w) - $f01(x,y,z) | (x + y) * z $f49(x,y,z,w) | x + ((y + z) * w) - $f02(x,y,z) | (x + y) - z $f50(x,y,z,w) | x + ((y - z) / w) - $f03(x,y,z) | (x + y) + z $f51(x,y,z,w) | x + ((y - z) * w) - $f04(x,y,z) | (x - y) + z $f52(x,y,z,w) | x + ((y * z) / w) - $f05(x,y,z) | (x - y) / z $f53(x,y,z,w) | x + ((y * z) * w) - $f06(x,y,z) | (x - y) * z $f54(x,y,z,w) | x + ((y / z) + w) - $f07(x,y,z) | (x * y) + z $f55(x,y,z,w) | x + ((y / z) / w) - $f08(x,y,z) | (x * y) - z $f56(x,y,z,w) | x + ((y / z) * w) - $f09(x,y,z) | (x * y) / z $f57(x,y,z,w) | x - ((y + z) / w) - $f10(x,y,z) | (x * y) * z $f58(x,y,z,w) | x - ((y + z) * w) - $f11(x,y,z) | (x / y) + z $f59(x,y,z,w) | x - ((y - z) / w) - $f12(x,y,z) | (x / y) - z $f60(x,y,z,w) | x - ((y - z) * w) - $f13(x,y,z) | (x / y) / z $f61(x,y,z,w) | x - ((y * z) / w) - $f14(x,y,z) | (x / y) * z $f62(x,y,z,w) | x - ((y * z) * w) - $f15(x,y,z) | x / (y + z) $f63(x,y,z,w) | x - ((y / z) / w) - $f16(x,y,z) | x / (y - z) $f64(x,y,z,w) | x - ((y / z) * w) - $f17(x,y,z) | x / (y * z) $f65(x,y,z,w) | ((x + y) * z) - w - $f18(x,y,z) | x / (y / z) $f66(x,y,z,w) | ((x - y) * z) - w - $f19(x,y,z) | x * (y + z) $f67(x,y,z,w) | ((x * y) * z) - w - $f20(x,y,z) | x * (y - z) $f68(x,y,z,w) | ((x / y) * z) - w - $f21(x,y,z) | x * (y * z) $f69(x,y,z,w) | ((x + y) / z) - w - $f22(x,y,z) | x * (y / z) $f70(x,y,z,w) | ((x - y) / z) - w - $f23(x,y,z) | x - (y + z) $f71(x,y,z,w) | ((x * y) / z) - w - $f24(x,y,z) | x - (y - z) $f72(x,y,z,w) | ((x / y) / z) - w - $f25(x,y,z) | x - (y / z) $f73(x,y,z,w) | (x * y) + (z * w) - $f26(x,y,z) | x - (y * z) $f74(x,y,z,w) | (x * y) - (z * w) - $f27(x,y,z) | x + (y * z) $f75(x,y,z,w) | (x * y) + (z / w) - $f28(x,y,z) | x + (y / z) $f76(x,y,z,w) | (x * y) - (z / w) - $f29(x,y,z) | x + (y + z) $f77(x,y,z,w) | (x / y) + (z / w) - $f30(x,y,z) | x + (y - z) $f78(x,y,z,w) | (x / y) - (z / w) - $f31(x,y,z) | x * y^2 + z $f79(x,y,z,w) | (x / y) - (z * w) - $f32(x,y,z) | x * y^3 + z $f80(x,y,z,w) | x / (y + (z * w)) - $f33(x,y,z) | x * y^4 + z $f81(x,y,z,w) | x / (y - (z * w)) - $f34(x,y,z) | x * y^5 + z $f82(x,y,z,w) | x * (y + (z * w)) - $f35(x,y,z) | x * y^6 + z $f83(x,y,z,w) | x * (y - (z * w)) - $f36(x,y,z) | x * y^7 + z $f84(x,y,z,w) | x*y^2 + z*w^2 - $f37(x,y,z) | x * y^8 + z $f85(x,y,z,w) | x*y^3 + z*w^3 - $f38(x,y,z) | x * y^9 + z $f86(x,y,z,w) | x*y^4 + z*w^4 - $f39(x,y,z) | x * log(y)+z $f87(x,y,z,w) | x*y^5 + z*w^5 - $f40(x,y,z) | x * log(y)-z $f88(x,y,z,w) | x*y^6 + z*w^6 - $f41(x,y,z) | x * log10(y)+z $f89(x,y,z,w) | x*y^7 + z*w^7 - $f42(x,y,z) | x * log10(y)-z $f90(x,y,z,w) | x*y^8 + z*w^8 - $f43(x,y,z) | x * sin(y)+z $f91(x,y,z,w) | x*y^9 + z*w^9 - $f44(x,y,z) | x * sin(y)-z $f92(x,y,z,w) | (x and y) ? z : w - $f45(x,y,z) | x * cos(y)+z $f93(x,y,z,w) | (x or y) ? z : w - $f46(x,y,z) | x * cos(y)-z $f94(x,y,z,w) | (x < y) ? z : w - $f47(x,y,z) | x ? y : z $f95(x,y,z,w) | (x <= y) ? z : w - $f96(x,y,z,w) | (x > y) ? z : w - $f97(x,y,z,w) | (x >= y) ? z : w - $f98(x,y,z,w) | (x == y) ? z : w - $f99(x,y,z,w) | x*sin(y)+z*cos(w) - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 13 - VARIABLE, VECTOR & STRING DEFINITION] -ExprTk supports the definition of expression local variables, vectors -and strings. The definitions must be unique as shadowing is not -allowed and object lifetimes are based on scope. Definitions use the -following general form: - - var := ; - -(1) Variable Definition -Variables are of numeric type denoting a single value. They can be -explicitly initialised to a value, otherwise they will be defaulted to -zero. The following are examples of variable definitions: - - (a) Initialise x to zero - var x; - - (b) Initialise y to three - var y := 3; - - (c) Initialise z to the expression - var z := if (max(1, x + y) > 2, w, v); - - (d) Initialise const literal n - var n := 12 / 3; - - -(2) Vector Definition -Vectors are arrays of a common numeric type. The elements in a vector -can be explicitly initialised, otherwise they will all be defaulted to -zero. The following are examples of vector definitions: - - (a) Initialise all values to zero - var x[3]; - - (b) Initialise all values to zero - var x[3] := {}; - - (c) Initialise all values to given value or expression - var x[3] := [ 42 ]; - var y[x[]] := [ 123 + 3y + sin(w / z) ]; - - (d) Initialise all values iota style - var v[4] := [ 0 : +1]; // 0, 1, 2, 3 - var v[5] := [-3 : -2]; // -3, -5, -7, -9, -11 - - (e) Initialise the first two values, all other elements to zero - var x[3] := { (1 + x[2]) / x[], (sin(y[0] / x[]) + 3) / x[] }; - - (f) Initialise the first three (all) values - const var size := 3; - var x[size] := { 1, 2, 3 }; - - (g) Initialise vector from a vector - var x[4] := { 1, 2, 3, 4 }; - var y[3] := x; - var w[5] := { 1, 2 }; // 1, 2, 0, 0, 0 - - (h) Initialise vector from a smaller vector - var x[3] := { 1, 2, 3 }; - var y[5] := x; // 1, 2, 3, ??, ?? - - (i) Non-initialised vector - var x[3] := null; // ?? ?? ?? - - (j) Error as there are too many initialisers - var x[3] := { 1, 2, 3, 4 }; - - (k) Error as a vector of size zero is not allowed. - var x[0]; - - -(3) String Definition -Strings are sequences comprised of 8-bit characters. They can only be -defined with an explicit initialisation value. The following are -examples of string variable definitions: - - (a) Initialise to a string - var x := 'abc'; - - (b) Initialise to an empty string - var x := ''; - - (c) Initialise to a string expression - var x := 'abc' + '123'; - - (d) Initialise to a string range - var x := 'abc123'[2:4]; - - (e) Initialise to another string variable - var x := 'abc'; - var y := x; - - (f) Initialise to another string variable range - var x := 'abc123'; - var y := x[2:4]; - - (g) Initialise to a string expression - var x := 'abc'; - var y := x + '123'; - - (h) Initialise to a string expression range - var x := 'abc'; - var y := (x + '123')[1:3]; - - -(4) Return Value -Variable and vector definitions have a return value. In the case of -variable definitions, the value to which the variable is initialised -will be returned. Where as for vectors, the value of the first element -(eg: v[0]) shall be returned. - - 8 == ((var x := 7;) + 1) - 4 == (var y[3] := {4, 5, 6};) - - -(5) Variable/Vector Assignment -The value of a variable can be assigned to a vector and a vector or a -vector expression can be assigned to a variable. - - (a) Variable To Vector: - Every element of the vector is assigned the value of the variable - or expression. - var x := 3; - var y[3] := { 1, 2, 3 }; - y := x + 1; - - (b) Vector To Variable: - The variable is assigned the value of the first element of the - vector (aka vec[0]) - var x := 3; - var y[3] := { 1, 2, 3 }; - x := y + 1; - - -Note10: During the expression compilation phase, tokens are classified -based on the following priorities: - - (a) Reserved keywords or operators (+, -, and, or, etc) - (b) Base functions (abs, sin, cos, min, max etc) - (c) Symbol table variables - (d) Expression local defined variables - (e) Symbol table functions - (f) Unknown symbol resolver based variables - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 14 - VECTOR PROCESSING] -ExprTk provides support for various forms of vector oriented -arithmetic, inequalities and processing. The various supported pairs -are as follows: - - (a) vector and vector (eg: v0 + v1) - (b) vector and scalar (eg: v + 33) - (c) scalar and vector (eg: 22 * v) - -The following is a list of operations that can be used in conjunction -with vectors: - - (a) Arithmetic: +, -, *, /, % - (b) Exponentiation: vector ^ scalar - (c) Assignment: :=, +=, -=, *=, /=, %=, <=> - (d) Inequalities: <, <=, >, >=, ==, =, equal - (e) Boolean logic: and, nand, nor, or, xnor, xor - (f) Unary operations: - abs, acos, acosh, asin, asinh, atan, atanh, ceil, cos, cosh, - cot, csc, deg2grad, deg2rad, erf, erfc, exp, expm1, floor, - frac, grad2deg, log, log10, log1p, log2, rad2deg, round, sec, - sgn, sin, sinc, sinh, sqrt, swap, tan, tanh, trunc, - thresholding - (g) Aggregate and Reduce operations: - avg, max, min, mul, dot, dotk, sum, sumk, count, all_true, - all_false, any_true, any_false - (h) Transformation operations: - copy, diff, reverse, rotate-left/right, shift-left/right, sort, - nth_element - (i) BLAS-L1: - axpy, axpby, axpyz, axpbyz, axpbz - -Note11: When one of the above described operations is being performed -between two vectors, the operation will only span the size of the -smallest vector. The elements of the larger vector outside of the -range will not be included. The operation itself will be processed -element-wise over values of the smaller of the two ranges. - -The following simple example demonstrates the vector processing -capabilities by computing the dot-product of the vectors v0 and v1 and -then assigning it to the variable v0dotv1: - - var v0[3] := { 1, 2, 3 }; - var v1[3] := { 4, 5, 6 }; - var v0dotv1 := sum(v0 * v1); - - -The following is a for-loop based implementation that is equivalent to -the previously mentioned dot-product computation expression: - - var v0[3] := { 1, 2, 3 }; - var v1[3] := { 4, 5, 6 }; - var v0dotv1; - - for (var i := 0; i < min(v0[],v1[]); i += 1) - { - v0dotv1 += (v0[i] * v1[i]); - } - - -Note12: When the aggregate or reduction operations denoted above are -used in conjunction with a vector or vector expression, the return -value is not a vector but rather a single value. - - var x[3] := { 1, 2, 3 }; - - sum(x) == 6 - sum(1 + 2x) == 15 - avg(3x + 1) == 7 - min(1 / x) == (1 / 3) - max(x / 2) == (3 / 2) - sum(x > 0 and x < 5) == x[] - - -When utilising external user defined vectors via the symbol table as -opposed to expression local defined vectors, the typical 'add_vector' -method from the symbol table will register the entirety of the vector -that is passed. The following example attempts to evaluate the sum of -elements of the external user defined vector within a typical yet -trivial expression: - - const std::string reduce_program = " sum(2 * v + 1) "; - - std::vector v0 { T(1.1), T(2.2), ..... , T(99.99) }; - - symbol_table_t symbol_table; - symbol_table.add_vector("v",v); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(reduce_program,expression); - - T sum = expression.value(); - - -For the most part, this is a very common use-case. However there may -be situations where one may want to evaluate the same vector oriented -expression many times over, but using different vectors or sub ranges -of the same vector of the same size to that of the original upon every -evaluation. - -The usual solution is to either recompile the expression for the new -vector instance, or to copy the contents from the new vector to the -symbol table registered vector and then perform the evaluation. When -the vectors are large or the re-evaluation attempts are numerous, -these solutions can become rather time consuming and generally -inefficient. - - std::vector v1 { T(2.2), T(2.2), ..... , T(2.2) }; - std::vector v2 { T(3.3), T(3.3), ..... , T(3.3) }; - std::vector v3 { T(4.4), T(4.4), ..... , T(4.4) }; - - std::vector> vv { v1, v2, v3 }; - ... - T sum = T(0); - - for (auto& new_vec : vv) - { - v = new_vec; // update vector - sum += expression.value(); - } - - -A solution to the above 'efficiency' problem, is to use the -exprtk::vector_view object. The vector_view is instantiated with a -size and backing based upon a vector. Upon evaluations if the backing -needs to be 'updated' to either another vector or sub-range, the -vector_view instance can be efficiently rebased, and the expression -evaluated as normal. - - exprtk::vector_view view = exprtk::make_vector_view(v,v.size()); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",view); - - ... - - T sum = T(0); - - for (auto& new_vec : vv) - { - view.rebase(new_vec.data()); // update vector - sum += expression.value(); - } - - -Another useful feature of exprtk::vector_view is that all such vectors -can have their sizes modified (or "resized"). The resizing of the -associated vectors can happen either between or during evaluations. - - std::vector v = { 1, 2, 3, 4, 5, 6, 7, 8 }; - exprtk::vector_view view = exprtk::make_vector_view(v,v.size()); - - symbol_table_t symbol_table; - symbol_table.add_vector("v",view); - - const std::string expression_string = "v[]"; - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string, expression); - - for (std::size_t i = 1; i <= v.size(); ++i) - { - vv.set_size(i); - expression.value(); - } - - -In the example above, a vector_view is instantiated with a std::vector -instance with eight elements and registered to the given symbol_table. -An expression is then compiled, which in this case simply returns the -size of the vector at that point in time. The expression is evaluated -eight times (size of vector times), where upon each iteration the size -of the vector is changed with values ranging from one to eight. - -Note13: When modifying the size of a vector, the new size must be at -least one or larger and must not exceed the original size of the -vector_view when it was instantiated. - -Note14: The lifetime of any parser, symbol_table or expression -instance must not exceed that of any vector_view instance that has -been registered with it. Furthermore the lifetime of a vector_view -must not exceed that of the underlying vector instance it is -associated with. - -Note15: In a multi-threaded context the rebase function should not be -called during associated expression evaluation, as this will lead to -undefined behaviour (eg: torn reads and writes). - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 15 - USER DEFINED FUNCTIONS] -ExprTk provides a means whereby custom functions can be defined and -utilised within expressions. The concept requires the user to -provide a reference to the function coupled with an associated name -that will be invoked within expressions. Functions may take numerous -inputs but will always return a single value of the underlying numeric -type. - -During expression compilation when required the reference to the -function shall be obtained from the associated symbol_table and be -embedded into the expression. - -There are five types of function interface: - - +---+----------------------+--------------+----------------------+ - | # | Name | Return Type | Input Types | - +---+----------------------+--------------+----------------------+ - | 1 | ifunction | Scalar | Scalar | - | 2 | ivararg_function | Scalar | Scalar | - | 3 | igeneric_function | Scalar | Scalar,Vector,String | - | 4 | igeneric_function II | String | Scalar,Vector,String | - | 5 | igeneric_function III| String/Scalar| Scalar,Vector,String | - | 6 | function_compositor | Scalar | Scalar | - +---+----------------------+--------------+----------------------+ - -(1) ifunction -This interface supports zero to 20 input parameters of only the scalar -type (numbers). The usage requires a custom function be derived from -ifunction and to override one of the 21 function operators. As part of -the constructor the custom function will define how many parameters it -expects to handle. The following example defines a 3 parameter -function called 'foo': - - template - struct foo final : public exprtk::ifunction - { - foo() : exprtk::ifunction(3) - {} - - T operator()(const T& v1, const T& v2, const T& v3) override - { - return T(1) + (v1 * v2) / T(v3); - } - }; - - -(2) ivararg_function -This interface supports a variable number of scalar arguments as input -into the function. The function operator interface uses a std::vector -specialised upon type T to facilitate parameter passing. The following -example defines a vararg function called 'boo': - - template - struct boo final : public exprtk::ivararg_function - { - inline T operator()(const std::vector& arglist) override - { - T result = T(0); - - for (std::size_t i = 0; i < arglist.size(); ++i) - { - result += arglist[i] / arglist[i > 0 ? (i - 1) : 0]; - } - - return result; - } - }; - - -(3) igeneric_function -This interface supports a variable number of arguments and types as -input into the function. The function operator interface uses a -std::vector specialised upon the type_store type to facilitate -parameter passing. - - Scalar <-- function(i_0, i_1, i_2....., i_N) - - -The fundamental types that can be passed into the function as -parameters and their views are as follows: - - (1) Scalar - scalar_view - (2) Vector - vector_view - (3) String - string_view - - -The above denoted type views provide non-const reference-like access -to each parameter, as such modifications made to the input parameters -will persist after the function call has completed. The following -example defines a generic function called 'too': - - template - struct too final : public exprtk::igeneric_function - { - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - too() - {} - - inline T operator()(parameter_list_t parameters) override - { - for (std::size_t i = 0; i < parameters.size(); ++i) - { - ... - } - - return T(0); - } - }; - - -In the example above, the input 'parameters' to the function operator, -parameter_list_t, is a type of std::vector of type_store. Each -type_store instance has a member called 'type' which holds the -enumeration pertaining to the underlying type of the type_store. There -are three type enumerations: - - (1) e_scalar - literals, variables, vector elements, expressions - eg: 123.456, x, vec[3x + 1], 2x + 3 - - (2) e_vector - vectors, vector expressions - eg: vec1, 2 * vec1 + vec2 / 3 - - (3) e_string - strings, string literals and range variants of both - eg: 'AString', s0, 'AString'[x:y], s1[1 + x:] + 'AString' - - -Each of the parameters can be accessed using its designated view. -A typical loop for processing the parameters is as follows: - - inline T operator()(parameter_list_t parameters) - { - typedef typename exprtk::igeneric_function::generic_type - generic_type; - - typedef typename generic_type::scalar_view scalar_t; - typedef typename generic_type::vector_view vector_t; - typedef typename generic_type::string_view string_t; - - for (std::size_t i = 0; i < parameters.size(); ++i) - { - generic_type& gt = parameters[i]; - - if (generic_type::e_scalar == gt.type) - { - scalar_t x(gt); - ... - } - else if (generic_type::e_vector == gt.type) - { - vector_t vector(gt); - ... - } - else if (generic_type::e_string == gt.type) - { - string_t string(gt); - ... - } - } - - return T(0); - } - - -Most often than not a custom generic function will require a specific -sequence of parameters, rather than some arbitrary sequence of types. -In those situations, ExprTk can perform compile-time type checking to -validate that function invocations are carried out using the correct -sequence of parameters. Furthermore performing the checks at compile --time rather than at run-time (aka every time the function is invoked) -will result in expression evaluation performance gains. - -Compile-time type checking of input parameters can be requested by -passing a string to the constructor of the igeneric_function that -represents the required sequence of parameter types. When no parameter -sequence is provided, it is implied the function can accept a variable -number of parameters comprised of any of the fundamental types. - -Each fundamental type has an associated character. The following is a -listing of said characters and their meanings: - - (1) T - Scalar - (2) V - Vector - (3) S - String - (4) Z - Zero or no parameters - (5) ? - Any type (Scalar, Vector or String) - (6) * - Wildcard operator - (7) | - Parameter sequence delimiter - - -No other characters other than the seven denoted above may be included -in the parameter sequence definition. If any such invalid characters -do exist, registration of the associated generic function to a symbol -table ('add_function' method) will fail. If the parameter sequence is -modified resulting in it becoming invalid after having been added to -the symbol table but before the compilation step, a compilation error -will be incurred. - -The following example demonstrates a simple generic function -implementation with a user specified parameter sequence: - - template - struct moo final : public exprtk::igeneric_function - { - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - moo() - : exprtk::igeneric_function("SVTT") - {} - - inline T operator()(parameter_list_t parameters) override - { - ... - } - }; - - -In the example above the generic function 'moo' expects exactly four -parameters in the following sequence: - - (1) String - (2) Vector - (3) Scalar - (4) Scalar - -Note16: The 'Z' or no parameter option may not be used in conjunction -with any other type option in a parameter sequence. When incorporated -in the parameter sequence list, the 'No Parameter' option indicates -that the function may be invoked without any parameters being passed. -For more information refer to the section: 'Zero Parameter Functions' - - -(4) igeneric_function II -This interface is identical to the igeneric_function, in that in can -consume an arbitrary number of parameters of varying type, but the -difference being that the function returns a string and as such is -treated as a string when invoked within expressions. As a result the -function call can alias a string and interact with other strings in -situations such as concatenation and equality operations. - - String <-- function(i_0, i_1, i_2....., i_N) - - -The following example defines a generic function named 'toupper' with -the string return type function operator being explicitly overridden: - - template - struct toupper final : public exprtk::igeneric_function - { - typedef exprtk::igeneric_function igenfunct_t; - typedef typename igenfunct_t::generic_type generic_t; - typedef typename igenfunct_t::parameter_list_t parameter_list_t; - typedef typename generic_t::string_view string_t; - - toupper() - : exprtk::igeneric_function("S",igenfunct_t::e_rtrn_string) - {} - - inline T operator()(std::string& result, - parameter_list_t parameters) override - { - result.clear(); - - string_t string(parameters[0]); - - for (std::size_t i = 0; i < string.size(); ++i) - { - result += std::toupper(string[i]); - } - - return T(0); - } - }; - - -In the example above the generic function 'toupper' expects only one -input parameter of type string, as noted by the parameter sequence -string passed during the constructor. Furthermore a second parameter -is passed to the constructor indicating that it should be treated as a -string returning function - by default it is assumed to be a scalar -returning function. - -When executed, the function will return as a result a copy of the -input string converted to uppercase form. An example expression using -the toupper function registered as the symbol 'toupper' is as follows: - - "'ABCDEF' == toupper('aBc') + toupper('DeF')" - - -Note17: When adding a string type returning generic function to a -symbol table the 'add_function' is invoked. The example below -demonstrates how this can be done: - - toupper tu; - - exprtk::symbol_table symbol_table; - - symbol_table.add_function("toupper",tu); - - -Note18: Two further refinements to the type checking facility are the -possibilities of a variable number of common types which can be -accomplished by using a wildcard '*' and a special 'any type' which is -done using the '?' character. It should be noted that the wildcard -operator is associated with the previous type in the sequence and -implies one or more of that type. - - template - struct zoo final : public exprtk::igeneric_function - { - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - zoo() - : exprtk::igeneric_function("SVT*V?") - {} - - inline T operator()(parameter_list_t parameters) override - { - ... - } - }; - - -In the example above the generic function 'zoo' expects at least five -parameters in the following sequence: - - (1) String - (2) Vector - (3) One or more Scalars - (4) Vector - (5) Any type (one type of either a scalar, vector or string) - - -A final piece of type checking functionality is available for the -scenarios where a single function name is intended to be used for -multiple distinct parameter sequences, another name for this feature -is function overloading. The parameter sequences are passed to the -constructor as a single string delimited by the pipe '|' character. -Two specific overrides of the function operator are provided one for -standard generic functions and one for string returning functions. The -overrides are as follows: - - // Scalar <-- function(psi,i_0,i_1,....,i_N) - inline T operator()(const std::size_t& ps_index, - parameter_list_t parameters) - { - ... - } - - // String <-- function(psi,i_0,i_1,....,i_N) - inline T operator()(const std::size_t& ps_index, - std::string& result, - parameter_list_t parameters) - { - ... - } - - -When the function operator is invoked the 'ps_index' parameter will -have as its value the index of the parameter sequence that matches the -specific invocation. This way complex and time consuming type checking -conditions need not be executed in the function itself but rather a -simple and efficient dispatch to a specific implementation for that -particular parameter sequence can be performed. - - template - struct roo final : public exprtk::igeneric_function - { - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - moo() - : exprtk::igeneric_function("SVTT|SS|TTV|S?V*S") - {} - - inline T operator()(const std::size_t& ps_index, - parameter_list_t parameters) override - { - ... - } - }; - - -In the example above there are four distinct parameter sequences that -can be processed by the generic function 'roo'. Any other parameter -sequences will cause a compilation error. The four valid sequences are -as follows: - - Sequence-0 Sequence-1 Sequence-2 Sequence-3 - 'SVTT' 'SS' 'TTV' 'S?V*S' - (1) String (1) String (1) Scalar (1) String - (2) Vector (2) String (2) Scalar (2) Any Type - (3) Scalar (3) Vector (3) One or more Vectors - (4) Scalar (4) String - - -(5) igeneric_function III -In this section we will discuss an extension of the igeneric_function -interface that will allow for the overloading of a user defined custom -function, where by it can return either a scalar or string value type -depending on the input parameter sequence with which the function is -invoked. - - template - struct foo final : public exprtk::igeneric_function - { - typedef typename exprtk::igeneric_function::parameter_list_t - parameter_list_t; - - foo() - : exprtk::igeneric_function - ( - "T:T|S:TS", - igfun_t::e_rtrn_overload - ) - {} - - // Scalar value returning invocations - inline T operator()(const std::size_t& ps_index, - parameter_list_t parameters) override - { - ... - } - - // String value returning invocations - inline T operator()(const std::size_t& ps_index, - std::string& result, - parameter_list_t& parameters) override - { - ... - } - }; - - -In the example above the custom user defined function "foo" can be -invoked by using either one of two input parameter sequences, which -are defined as follows: - - Sequence-0 Sequence-1 - 'T' -> T 'TS' -> S - (1) Scalar (1) Scalar - (2) String - - -The parameter sequence definitions are identical to the previously -defined igeneric_function, with the exception of the inclusion of the -return type - which can only be either a scalar T or a string S. - - -(6) function_compositor -The function compositor is a factory that allows one to define and -construct a function using ExprTk syntax. The functions are limited to -returning a single scalar value and consuming up to six parameters as -input. - -All composited functions are registered with a symbol table, allowing -them to call other functions and use variables that have been -registered with the symbol table instance. Furthermore the functions -can be recursive in nature due to the inherent function prototype -forwarding that occurs during construction. The following example -defines, by using two different methods, composited functions and -implicitly registering the functions with the denoted symbol table. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - T avogadro = T(6.022e23); - - symbol_table_t symbol_table; - - symbol_table.add_constant("avogadro", avogadro); - - compositor_t compositor(symbol_table); - - // Define function koo0(v1, v2) { ... } - compositor.add( - function_t("koo0"), - .vars("v1", "v2") - .expression - ( - " 1 + cos(v1 * v2) / avogadro; " - )); - - // Define function koo1(x, y, z) { ... } - compositor.add( - function_t() - .name("koo1") - .var("x").var("y").var("z") - .expression - ( - "1 + koo0(x * y, 3) / z;" - )); - - -A function compositor can also be instantiated without a symbol_table. -When this is the case an internal symbol_table is used for holding the -references to the composited functions. - - compositor_t compositor; - - // Define function koo2(v1, v2) { ... } - compositor.add( - function_t("koo2"), - .vars("v1", "v2", "v3") - .expression - ( " abs(v1 * v2) / v3; " )); - - -When wanting to reference functions from the compositor above in an -expression, the compositor's symbol_table will need to be registered -with the expression prior to compilation, as is demonstrated in the -following code: - - expression_t expression; - . - . - expression.register_symbol_table(compositor.symbol_table()); - - -In the situation where more than one symbol table's contents will be -required by the functions being composited, then those symbol tables -can be registered as auxiliary symbol tables with the compositor: - - symbol_table_t global_symbol_table; - symbol_table_t local_symbol_table; - . - . - . - compositor_t compositor; - - compositor.add_auxiliary_symtab(global_symbol_table); - compositor.add_auxiliary_symtab(local_symbol_table ); - -Note19: In the event, that two or more symbol tables contain similarly -named variables, vectors, strings or functions, the order of -registration with the compositor shall determine the symbol table from -which the target symbol will be referenced. - - -(7) Using Functions In Expressions -For the above denoted custom and composited functions to be used in an -expression, an instance of each function needs to be registered with a -symbol_table that has been associated with the expression instance. -The following demonstrates how all the pieces are put together: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - foo f; - boo b; - too t; - toupper tu; - - symbol_table_t symbol_table; - compositor_t compositor(symbol_table); - - symbol_table.add_function("foo",f); - symbol_table.add_function("boo",b); - symbol_table.add_function("too",t); - - symbol_table - .add_function("toupper", tu, symbol_table_t::e_ft_strfunc); - - compositor.add( - function_t("koo") - .var("v1") - .var("v2") - .expression - ( - "1 + cos(v1 * v2) / 3;" - )); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - const std::string expression_str = - " if (foo(1,2,3) + boo(1) > boo(1/2, 2/3, 3/4, 4/5)) " - " koo(3,4); " - " else " - " too(2 * v1 + v2 / 3, 'abcdef'[2:4], 3.3); " - " "; - - parser_t parser; - parser.compile(expression_str,expression); - - expression.value(); - - -(8) Function Side-Effects -All function calls are assumed to have side-effects by default. This -assumption implicitly disables constant folding optimisations when all -parameters being passed to the function are deduced as being constants -at compile time. - -If it is certain that the function being registered does not have any -side-effects and can be correctly constant folded where appropriate, -then during the construction of the function the side-effect trait of -the function can be disabled. - - template - struct foo final : public exprtk::ifunction - { - foo() : exprtk::ifunction(3) - { - exprtk::disable_has_side_effects(*this); - } - - T operator()(const T& v1, const T& v2, const T& v3) override - { ... } - }; - - -(9) Zero Parameter Functions -When either an ifunction, ivararg_function or igeneric_function -derived type is defined with zero number of parameters, there are two -calling conventions within expressions that are allowed. For a -function named 'foo' with zero input parameters the calling styles are -as follows: - - (1) x + sin(foo()- 2) / y - (2) x + sin(foo - 2) / y - - -By default the zero parameter trait is disabled. In order to enable -it, a process similar to that of enabling of the side-effect trait is -carried out: - - template - struct foo final : public exprtk::ivararg_function - { - foo() - { - exprtk::enable_zero_parameters(*this); - } - - inline T operator()(const std::vector& arglist) override - { ... } - }; - - -Note20: For the igeneric_function type, there also needs to be a 'Z' -parameter sequence defined in order for the zero parameter trait to -properly take effect otherwise a compilation error will occur. - - -(10) Free Functions -The ExprTk symbol table supports the registration of free functions -and lambdas (anonymous functors) for use in expressions. The basic -requirements are similar to those found in ifunction derived user -defined functions. This includes support for free functions using -anywhere from zero up to fifteen input parameters of scalar type, with -a return type that is also scalar. Furthermore such functions will by -default be assumed to have side-effects and hence will not participate -in constant folding optimisations. - -In the following example, a one input parameter free function named -'compute1', a two input parameter template free function named -'compute2' and a three input parameter lambda named 'compute3' will be -registered with the given symbol_table instance: - - double compute1(double v0) - { - return 2.0 * std::abs(v0); - } - - template - T compute2(T v0, T v1) - { - return 2.0 * v0 + v1 / 3.0; - } - . - . - . - - typedef exprtk::symbol_table symbol_table_t; - - symbol_table_t symbol_table; - - symbol_table.add_function("compute1", compute1); - symbol_table.add_function("compute2", compute2); - - symbol_table.add_function( - "compute3", - [](double v0, double v1, double v2) -> double - { return v0 / v1 + v2; }); - - -Note21: Similar to variables registered with symbol_table instances, -for any of the following function providers: - - 1. ifunction - 2. ivararg_function - 3. igeneric_function - 4. function_compositor - 5. Free function - 7. Lambda - - -Their instance lifetimes must exceed the symbol_tables and expressions -they are registered with. In the event that is not the case, the -expected result shall be undefined behaviour. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 16 - EXPRESSION DEPENDENTS] -Any expression that is not a literal (aka constant) will have -dependencies. The types of 'dependencies' an expression can have are -as follows: - - (a) Variables - (b) Vectors - (c) Strings - (d) Functions - (e) Assignments - - -In the following example the denoted expression has its various -dependencies listed: - - z := abs(x + sin(2 * pi / y)) - - (a) Variables: x, y, z and pi - (b) Functions: abs, sin - (c) Assignments: z - - -ExprTk allows for the derivation of expression dependencies via the -'dependent_entity_collector' (DEC). When activated either through -'compile_options' at the construction of the parser or through calls -to enabler methods just prior to compilation, the DEC will proceed to -collect any of the relevant types that are encountered during the -parsing phase. Once the compilation process has successfully -completed, the caller can then obtain a list of symbols and their -associated types from the DEC. - -The kinds of questions one can ask regarding the dependent entities -within an expression are as follows: - - * What user defined variables, vectors or strings are used? - * What functions or custom user functions are used? - * Which variables, vectors or strings have values assigned to them? - - -The following example demonstrates usage of the DEC in determining the -dependents of the given expression: - - typedef typename parser_t:: - dependent_entity_collector::symbol_t symbol_t; - - const std::string expression_string = - "z := abs(x + sin(2 * pi / y))"; - - T x,y,z; - - parser_t parser; - symbol_table_t symbol_table; - - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - // Collect only variable and function symbols - parser.dec().collect_variables() = true; - parser.dec().collect_functions() = true; - - if (!parser.compile(expression_string,expression)) - { - // error.... - } - - std::deque symbol_list; - - parser.dec().symbols(symbol_list); - - for (std::size_t i = 0; i < symbol_list.size(); ++i) - { - const symbol_t& symbol = symbol_list[i]; - - switch (symbol.second) - { - case parser_t::e_st_variable : ... break; - case parser_t::e_st_vector : ... break; - case parser_t::e_st_string : ... break; - case parser_t::e_st_function : ... break; - } - } - - -Note22: The 'symbol_t' type is a std::pair comprising of the symbol -name (std::string) and the associated type of the symbol as denoted by -the cases in the switch statement. - -Having particular symbols (variable or function) present in an -expression is one form of dependency. Another and just as interesting -and important type of dependency is that of assignments. Assignments -are the set of dependent symbols that 'may' have their values modified -within an expression. The following are example expressions and their -associated assignments: - - Assignments Expression - (1) x x := y + z - (2) x, y x += y += z - (3) x, y, z x := y += sin(z := w + 2) - (4) w, z if (x > y, z := x + 2, w := 'A String') - (5) None x + y + z - - -Note23: In expression 4, both variables 'w' and 'z' are denoted as -being assignments even though only one of them can ever be modified at -the time of evaluation. Furthermore the determination of which of the -two variables the modification will occur upon can only be known with -certainty at evaluation time and not beforehand, hence both are listed -as being candidates for assignment. - -The following builds upon the previous example demonstrating the usage -of the DEC in determining the 'assignments' of the given expression: - - // Collect assignments - parser.dec().collect_assignments() = true; - - if (!parser.compile(expression_string,expression)) - { - // error.... - } - - std::deque symbol_list; - - parser.dec().assignment_symbols(symbol_list); - - for (std::size_t i = 0; i < symbol_list.size(); ++i) - { - symbol_t& symbol = symbol_list[i]; - - switch (symbol.second) - { - case parser_t::e_st_variable : ... break; - case parser_t::e_st_vector : ... break; - case parser_t::e_st_string : ... break; - } - } - - -Note24: The assignments will only consist of variable types and as -such will not contain symbols denoting functions. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 17 - HIERARCHIES OF SYMBOL TABLES] -Most situations will only require a single symbol_table instance to be -associated with a given expression instance. - -However as an expression can have more than one symbol table instance -associated with itself, when building more complex systems that -utilise many expressions where each can in turn utilise one or more -variables from a large set of potential variables, functions or -constants, it becomes evident that grouping variables into layers of -symbol_tables will simplify and streamline the overall process. - -A recommended hierarchy of symbol tables is the following: - - (a) Global constant value symbol table - (b) Global non side-effect functions symbol table - (c) Global variable symbol table - (d) Expression specific variable symbol table - - -(a) Global constant value symbol table -This symbol table will contain constant variables denoting immutable -values. These variables can be made available to all expressions, and -in turn expressions will assume the values themselves will never be -modified for the duration of the process run-time. Examples of such -variables are: - - (1) pi or e - (2) speed_of_light - (3) avogadro_number - (4) num_cpus - - -(b) Global non side-effect functions symbol table -This symbol table will contain only user defined functions that will -not incur any side-effects that are observable to any of the -expressions that invoke them. These functions shall be thread-safe or -threading invariant and will not maintain any form of state between -invocations. Examples of such functions are: - - (1) calc_volume_of_sphere(r) - (2) distance(x0,y0,x1,y1) - - -(c) Global variable symbol table -This symbol table will contain variables that will be accessible to -all associated expressions and will not be specific or exclusive to -any one expression. This variant differs from (a) in that the values -of the variables can change (or be updated) between evaluations of -expressions - but through properly scheduled evaluations are -guaranteed to never change during the evaluation of any dependent -expressions. Furthermore it is assumed that these variables will be -used in a read-only context and that no expressions will attempt to -modify these variables via assignments or other means. - - (1) price_of_stock_xyz - (2) outside_temperature or inside_temperature - (3) fuel_in_tank - (4) num_customers_in_store - (5) num_items_on_shelf - - -(d) Expression specific variable symbol table -This symbol_table is the most common form, and is used to store -variables that are specific and exclusive to a particular expression. -That is to say references to variables in this symbol_table will not -be part of another expression. Though it may be possible to have -expressions that contain the variables with the same name, in that -case those variables will be distinctly different. Which would mean if -a particular expression were to be compiled twice, each expression -would have its own unique symbol_table which in turn would have its -own instances of those variables. Examples of such variables could be: - - (1) x or y - (2) customer_name - - -The following is a diagram depicting a possible variant of the denoted -symbol table hierarchies. In the diagram there are two unique -expressions, each of which have a reference to the Global constant, -functions and variables symbol tables and an exclusive reference to a -local symbol table. - - +-------------------------+ +-------------------------+ - | Global Constants | | Global Functions | - | Symbol Table | | Symbol Table | - +----o--o-----------------+ +--------------------o----+ - | | | - | | +-------+ - | +------------------->----------------------------+ | - | +----------------------------+ | | - | | Global Variables | | | - | +------o Symbol Table o-----+ | V - | | +----------------------------+ | | | - | | | | | - | | +----------------+ +----------------+ | | | - | | | Symbol Table 0 | | Symbol Table 1 | | V | - | | +--o-------------+ +--o-------------+ | | | - | | | | | | | - | | | | | | | - +--V--V----V---------+ +-V---------------V--+ | | - | Expression 0 | | Expression 1 |<--+--+ - | '2 * sin(x) - y' | | 'k + abs(x - y)' | - +--------------------+ +--------------------+ - - -Bringing all of the above together, in the following example the -hierarchy of symbol tables are instantiated and initialised. An -expression that makes use of various elements of each symbol table is -then compiled and later on evaluated: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - - // Setup global constants symbol table - symbol_table_t glbl_const_symbol_table; - glbl_const_symbtab.add_constants(); // pi, epsilon and inf - glbl_const_symbtab.add_constant("speed_of_light",299e6); - glbl_const_symbtab.add_constant("avogadro_number",6e23); - - // Setup global function symbol table - symbol_table_t glbl_funcs_symbol_table; - glbl_func_symbtab.add_function('distance',distance); - glbl_func_symbtab.add_function('calc_spherevol',calc_sphrvol); - - ...... - - // Setup global variable symbol table - symbol_table_t glbl_variable_symbol_table; - glbl_variable_symbtab.add_variable('temp_outside',thermo.outside); - glbl_variable_symbtab.add_variable('temp_inside' ,thermo.inside ); - glbl_variable_symbtab.add_variable('num_cstmrs',store.num_cstmrs); - - ...... - - double x,y,z; - - // Setup expression specific symbol table - symbol_table_t symbol_table; - symbol_table.add_variable('x',x); - symbol_table.add_variable('y',y); - symbol_table.add_variable('z',z); - - expression_t expression; - - // Register the various symbol tables - expression - .register_symbol_table(symbol_table); - - expression - .register_symbol_table(glbl_funcs_symbol_table); - - expression - .register_symbol_table(glbl_const_symbol_table); - - expression - .register_symbol_table(glbl_variable_symbol_table); - - const std::string expression_str = - "abs(temp_inside - temp_outside) + 2 * speed_of_light / x"; - - parser_t parser; - parser.compile(expression_str,expression); - - ...... - - while (keep_evaluating) - { - .... - - T result = expression.value(); - - .... - } - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 18 - UNKNOWN UNKNOWNS] -In this section we will discuss the process of handling expressions -with a mix of known and unknown variables. Initially a discussion into -the types of expressions that exist will be provided, then a series of -possible solutions will be presented for each scenario. - -When parsing an expression, there may be situations where one is not -fully aware of what if any variables will be used prior to the -expression being compiled. - -This can become problematic, as in the default scenario it is assumed -the symbol_table that is registered with the expression instance will -already possess the externally available variables, functions and -constants needed during the compilation of the expression. - -In the event there are symbols in the expression that can't be mapped -to either a reserved word, or located in the associated -symbol_table(s), an "Undefined symbol" error will be raised and the -compilation process will fail. - -The numerous scenarios that can occur when compiling an expression -with ExprTk generally fall into one of the following three categories: - - (a) No external variables - (b) Predetermined set of external variables - (c) Unknown set of variables - - -(a) No external variables -These are expressions that contain no external variables but may -contain local variables. As local variables cannot be accessed -externally from the expression, it is assumed that such expressions -will not have a need for a symbol_table and furthermore expressions -which don't make use of functions that have side-effects will be -evaluated completely at compile time resulting in a constant return -value. The following are examples of such expressions: - - (1) 1 + 2 - (2) var x := 3; 2 * x - 3 - (3) var x := 3; var y := abs(x - 8); x - y / 7 - - -(b) Predetermined set of external variables -These are expressions that are comprised of externally available -variables and functions and will only compile successfully if the -symbols that correspond to the variables and functions are already -defined in their associated symbol_table(s). This is by far the most -common scenario when using ExprTk. - -As an example, one may have three external variables: x, y and z which -have been registered with the associated symbol_table, and will then -need to compile and evaluate expressions comprised of any subset of -these three variables. The following are a few examples of such -expressions: - - (1) 1 + x - (2) x / y - (3) 2 * x * y / z - - -In this scenario one can use the 'dependent_entity_collector' -component as described in [Section 16] to further determine which of -the registered variables were actually used in the given expression. -As an example once the set of utilised variables are known, any -further 'attention' can be restricted to only those variables when -evaluating the expression. This can be quite useful when dealing with -expressions that can draw from a set of hundreds or even thousands of -variables. - - -(c) Unknown set of variables -These are expressions that are comprised of symbols other than the -standard ExprTk reserved words or what has been registered with their -associated symbol_table, and will normally fail compilation due to the -associated symbol_table not having a reference to them. As such this -scenario can be seen as a combination of scenario B, where one may -have a symbol_table with registered variables, but would also like to -handle the situation of variables that aren't present in said -symbol_table. - -When dealing with expressions of category (c), one must perform all of -the following: - - (1) Determine the variables used in the expression - (2) Populate a symbol_table(s) with the entities from (1) - (3) Compile the expression - (4) Provide a means by which the entities from (1) can be modified - - -Depending on the nature of processing, steps (1) and (2) can be done -either independently of each other or combined into one. The following -example will initially look at solving the problem of unknown -variables with the latter method using the 'unknown_symbol_resolver' -component. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - T x = T(123.456); - T y = T(789.123); - - symbol_table_t unknown_var_symbol_table; - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - expression_t expression; - expression.register_symbol_table(unknown_var_symbol_table); - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.enable_unknown_symbol_resolver(); - - const std::string expression_str = "x + abs(y / 3k) * z + 2"; - - parser.compile(expression_str,expression); - - -In the example above, the symbols 'k' and 'z' will be treated as -unknown symbols. The parser in the example is set to handle unknown -symbols using the built-in default unknown_symbol_resolver (USR). The -default USR will automatically resolve any unknown symbols as a -variable (scalar type). The new variables will be added to the primary -symbol_table, which in this case is the 'unknown_var_symbol_table' -instance. Once the compilation has completed successfully, the -variables that were resolved during compilation can be accessed from -the primary symbol_table using the 'get_variable_list' and -'variable_ref' methods and then if needed can be modified accordingly -after which the expression itself can be evaluated. - - std::vector variable_list; - - unknown_var_symbol_table.get_variable_list(variable_list); - - for (const auto& var_name : variable_list) - { - T& v = unknown_var_symbol_table.variable_ref(var_name); - - v = ...; - } - - ... - - expression.value(); - - -Note25: As previously mentioned the default USR will automatically -assume any unknown symbol to be a valid scalar variable, and will then -proceed to add said symbol as a variable to the primary symbol_table -of the associated expression during the compilation process. However a -problem that may arise, is that expressions that are parsed with the -USR enabled, but contain 'typos' or otherwise syntactic errors may -inadvertently compile successfully due to the simplistic nature of the -default USR. The following are some example expressions: - - (1) 1 + abz(x + 1) - (2) sine(y / 2) - coz(3x) - - -The two expressions above contain misspelt symbols (abz, sine, coz) -which if implied multiplications and default USR are enabled during -compilation will result in them being assumed to be valid 'variables', -which obviously is not the intended outcome by the user. A possible -solution to this problem is for one to implement their own specific -USR that will perform a user defined business logic in determining if -an encountered unknown symbol should be treated as a variable or if it -should raise a compilation error. The following example demonstrates a -simple user defined USR: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - template - struct my_usr final : public parser_t::unknown_symbol_resolver - { - typedef typename parser_t::unknown_symbol_resolver usr_t; - - bool process(const std::string& unknown_symbol, - typename usr_t::usr_symbol_type& st, - T& default_value, - std::string& error_message) override - { - if (0 != unknown_symbol.find("var_")) - { - error_message = "Invalid symbol: " + unknown_symbol; - return false; - } - - st = usr_t::e_usr_variable_type; - default_value = T(123.123); - - return true; - } - }; - - ... - - T x = T(123.456); - T y = T(789.123); - - symbol_table_t unknown_var_symbol_table; - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - expression_t expression; - expression.register_symbol_table(unknown_var_symbol_table); - expression.register_symbol_table(symbol_table); - - my_usr musr; - - parser_t parser; - parser.enable_unknown_symbol_resolver(&musr); - - std::string expression_str = "var_x + abs(var_y - 3) * var_z"; - - parser.compile(expression_str,expression); - - -In the example above, a user specified USR is defined, and is -registered with the parser enabling the USR functionality. -Subsequently during the compilation process when an unknown symbol is -encountered, the USR's process method will be invoked. The USR in the -example will only 'accept' unknown symbols that have a prefix of -'var_' as being valid variables, all other unknown symbols will result -in a compilation error being raised. - -In the example above the callback of the USR that is invoked during -the unknown symbol resolution process only allows for scalar variables -to be defined and resolved - as that is the simplest and most common -form. - -There is a further extended version of the callback that can be -overridden that will allow for more control and choice over the type -of symbol being resolved. The following is an example definition of -said extended callback: - - template - struct my_usr final : public parser_t::unknown_symbol_resolver - { - typedef typename parser_t::unknown_symbol_resolver usr_t; - - my_usr() - : usr_t(usr_t::e_usrmode_extended) - {} - - bool process(const std::string& unknown_symbol, - symbol_table_t& symbol_table, - std::string& error_message) override - { - bool result = false; - - if (0 == unknown_symbol.find("var_")) - { - // Default value of zero - result = symbol_table.create_variable(unknown_symbol,0); - - if (!result) - { - error_message = "Failed to create variable..."; - } - } - else if (0 == unknown_symbol.find("str_")) - { - // Default value of empty string - result = symbol_table.create_stringvar(unknown_symbol,""); - - if (!result) - { - error_message = "Failed to create string variable..."; - } - } - else - error_message = "Indeterminable symbol type."; - - return result; - } - }; - - -In the example above, the USR callback when invoked will pass the -primary symbol table associated with the expression being parsed. The -symbol resolution business logic can then determine under what -conditions a symbol will be resolved including its type (scalar, -string, vector etc) and default value. When the callback successfully -returns the symbol parsing and resolution process will again be -executed by the parser. The idea here is that given the primary symbol -table will now have the previously detected unknown symbol registered, -it will be correctly resolved and the general parsing processing can -then resume as per normal. - -Note26: In order to have the USR's extended mode callback be invoked -it is necessary to pass the e_usrmode_extended enum value during the -constructor of the user defined USR. - -Note27: The primary symbol table for an expression is the first symbol -table to be registered with that instance of the expression. - -Note28: For a successful symbol resolution using the normal USR all of -the following are required: - - (1) Only if successful shall the process method return TRUE - (2) The default_value parameter will have been set - (3) The error_message parameter will be empty - (4) usr_symbol_type input parameter field will be set to either: - (*) e_usr_variable_type - (*) e_usr_constant_type - -Note29: For a successful symbol resolution using the extended USR all -of the following are required: - - (1) Only if successful shall the process method return TRUE - (2) symbol_table parameter will have had the newly resolved - variable or string added to it - (3) error_message parameter will be empty - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 19 - ENABLING & DISABLING FEATURES] -The parser can be configured via its settings instance to either allow -or disallow certain features that are available within the ExprTk -grammar. The features fall into one of the following six categories: - - (1) Base Functions - (2) Control Flow Structures - (3) Logical Operators - (4) Arithmetic Operators - (5) Inequality Operators - (6) Assignment Operators - - -(1) Base Functions -The list of available base functions is as follows: - - abs, acos, acosh, asin, asinh, atan, atanh, atan2, avg, ceil, - clamp, cos, cosh, cot, csc, equal, erf, erfc, exp, expm1, - floor, frac, hypot, iclamp, like, log, log10, log2, logn, - log1p, mand, max, min, mod, mor, mul, ncdf, pow, root, round, - roundn, sec, sgn, sin, sinc, sinh, sqrt, sum, swap, tan, tanh, - trunc, not_equal, inrange, deg2grad, deg2rad, rad2deg, grad2deg - - -The above mentioned base functions can be either enabled or disabled -'all' at once, as is demonstrated below: - - parser_t parser; - expression_t expression; - - parser.settings().disable_all_base_functions(); - - parser - .compile("2 * abs(2 - 3)",expression); // compilation failure - - parser.settings().enable_all_base_functions(); - - parser - .compile("2 * abs(2 - 3)",expression); // compilation success - - -One can also enable or disable specific base functions. The following -example demonstrates the disabling of the trigonometric functions -'sin' and 'cos': - - parser_t parser; - expression_t expression; - - parser.settings() - .disable_base_function(settings_t::e_bf_sin) - .disable_base_function(settings_t::e_bf_cos); - - parser - .compile("(sin(x) / cos(x)) == tan(x)",expression); // failure - - parser.settings() - .enable_base_function(settings_t::e_bf_sin) - .enable_base_function(settings_t::e_bf_cos); - - parser - .compile("(sin(x) / cos(x)) == tan(x)",expression); // success - - -(2) Control Flow Structures -The list of available control flow structures is as follows: - - (a) If or If-Else - (b) Switch statement - (c) For Loop - (d) While Loop - (e) Repeat Loop - - -The above mentioned control flow structures can be either enabled -or disabled 'all' at once, as is demonstrated below: - - parser_t parser; - expression_t expression; - - const std::string program = - " var x := 0; " - " for (var i := 0; i < 10; i += 1) " - " { " - " x += i; " - " } "; - - parser.settings().disable_all_control_structures(); - - parser - .compile(program,expression); // compilation failure - - parser.settings().enable_all_control_structures(); - - parser - .compile(program,expression); // compilation success - - -One can also enable or disable specific control flow structures. The -following example demonstrates the disabling of the for-loop control -flow structure: - - parser_t parser; - expression_t expression; - - const std::string program = - " var x := 0; " - " for (var i := 0; i < 10; i += 1) " - " { " - " x += i; " - " } "; - - parser.settings() - .disable_control_structure(settings_t::e_ctrl_for_loop); - - parser - .compile(program,expression); // failure - - parser.settings() - .enable_control_structure(settings_t::e_ctrl_for_loop); - - parser - .compile(program,expression); // success - - -(3) Logical Operators -The list of available logical operators is as follows: - - and, nand, nor, not, or, xnor, xor, &, | - - -The above mentioned logical operators can be either enabled or -disabled 'all' at once, as is demonstrated below: - - parser_t parser; - expression_t expression; - - parser.settings().disable_all_logic_ops(); - - parser - .compile("1 or not(0 and 1)",expression); // compilation failure - - parser.settings().enable_all_logic_ops(); - - parser - .compile("1 or not(0 and 1)",expression); // compilation success - - -One can also enable or disable specific logical operators. The -following example demonstrates the disabling of the 'and' logical -operator: - - parser_t parser; - expression_t expression; - - parser.settings() - .disable_logic_operation(settings_t::e_logic_and); - - parser - .compile("1 or not(0 and 1)",expression); // failure - - parser.settings() - .enable_logic_operation(settings_t::e_logic_and); - - parser - .compile("1 or not(0 and 1)",expression); // success - - -(4) Arithmetic Operators -The list of available arithmetic operators is as follows: - - +, -, *, /, %, ^ - - -The above mentioned arithmetic operators can be either enabled or -disabled 'all' at once, as is demonstrated below: - - parser_t parser; - expression_t expression; - - parser.settings().disable_all_arithmetic_ops(); - - parser - .compile("1 + 2 / 3",expression); // compilation failure - - parser.settings().enable_all_arithmetic_ops(); - - parser - .compile("1 + 2 / 3",expression); // compilation success - - -One can also enable or disable specific arithmetic operators. The -following example demonstrates the disabling of the addition '+' -arithmetic operator: - - parser_t parser; - expression_t expression; - - parser.settings() - .disable_arithmetic_operation(settings_t::e_arith_add); - - parser - .compile("1 + 2 / 3",expression); // failure - - parser.settings() - .enable_arithmetic_operation(settings_t::e_arith_add); - - parser - .compile("1 + 2 / 3",expression); // success - - -(5) Inequality Operators -The list of available inequality operators is as follows: - - <, <=, >, >=, ==, =, != <> - - -The above mentioned inequality operators can be either enabled or -disabled 'all' at once, as is demonstrated below: - - parser_t parser; - expression_t expression; - - parser.settings().disable_all_inequality_ops(); - - parser - .compile("1 < 3",expression); // compilation failure - - parser.settings().enable_all_inequality_ops(); - - parser - .compile("1 < 3",expression); // compilation success - - -One can also enable or disable specific inequality operators. The -following example demonstrates the disabling of the less-than '<' -inequality operator: - - parser_t parser; - expression_t expression; - - parser.settings() - .disable_inequality_operation(settings_t::e_ineq_lt); - - parser - .compile("1 < 3",expression); // failure - - parser.settings() - .enable_inequality_operation(settings_t::e_ineq_lt); - - parser - .compile("1 < 3",expression); // success - - -(6) Assignment Operators -The list of available assignment operators is as follows: - - :=, +=, -=, *=, /=, %= - - -The above mentioned assignment operators can be either enabled or -disabled 'all' at once, as is demonstrated below: - - T x = T(0); - - parser_t parser; - expression_t expression; - symbol_table_t symbol_table; - - symbol_table.add_variable("x",x); - - expression.register_symbol_table(symbol_table); - - parser.settings().disable_all_assignment_ops(); - - parser - .compile("x := 3",expression); // compilation failure - - parser.settings().enable_all_assignment_ops(); - - parser - .compile("x := 3",expression); // compilation success - - -One can also enable or disable specific assignment operators. The -following example demonstrates the disabling of the '+=' addition -assignment operator: - - T x = T(0); - - parser_t parser; - expression_t expression; - symbol_table_t symbol_table; - - symbol_table.add_variable("x",x); - - expression.register_symbol_table(symbol_table); - - parser.settings() - .disable_assignment_operation(settings_t::e_assign_addass); - - parser - .compile("x += 3",expression); // failure - - parser.settings() - .enable_assignment_operation(settings_t::e_assign_addass); - - parser - .compile("x += 3",expression); // success - - -Note30: In the event of a base function being disabled, one can -redefine the base function using the standard custom function -definition process. In the following example the 'sin' function is -disabled then redefined as a function taking degree input. - - template - struct sine_deg final : public exprtk::ifunction - { - sine_deg() : exprtk::ifunction(1) {} - - inline T operator()(const T& v) override - { - const T pi = exprtk::details::numeric::constant::pi; - return std::sin((v * T(pi)) / T(180)); - } - }; - - ... - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - typedef typename parser_t::settings_store settings_t; - - sine_deg sine; - - symbol_table.add_reserved_function("sin",sine); - - expression_t expression; - - expression.register_symbol_table(symbol_table); - - parser_t parser; - - parser.settings() - .disable_base_function(settings_t::e_bf_sin); - - parser.compile("1 + sin(30)",expression); - - -In the example above, the custom 'sin' function is registered with the -symbol_table using the method 'add_reserved_function'. This is done so -as to bypass the checks for reserved words that are carried out on the -provided symbol names when calling the standard 'add_function' method. -Normally if a user specified symbol name conflicts with any of the -ExprTk reserved words, the add_function call will fail. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 20 - EXPRESSION RETURN VALUES] -ExprTk expressions can return immediately from any point by utilising -the return call. Furthermore the return call can be used to transfer -out multiple return values from within the expression. - -If an expression evaluation exits using a return point, the result of -the call to the 'value' method will be NaN, and it is expected that -the return values will be available from the results_context. - -In the following example there are three return points in the -expression. If neither of the return points are hit, then the -expression will return normally. - - const std::string expression_string = - " if (x < y) " - " return [x + 1,'return-call 1']; " - " else if (x > y) " - " return [y / 2, y + 1, 'return-call 2']; " - " else if (equal(x,y)) " - " x + y; " - " return [x, y, x + y, x - y, 'return-call 3'] "; - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - double x = 0; - double y = 0; - - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - - expression.register_symbol_table(symbol_table); - - parser.compile(expression_string,expression); - - T result = expression.value(); - - if (expression.return_invoked()) - { - typedef exprtk::results_context results_context_t; - typedef typename results_context_t::type_store_t type_t; - typedef typename type_t::scalar_view scalar_t; - typedef typename type_t::vector_view vector_t; - typedef typename type_t::string_view string_t; - - const results_context_t& results = expression.results(); - - for (std::size_t i = 0; i < results.count(); ++i) - { - type_t t = results[i]; - - switch (t.type) - { - case type_t::e_scalar : ... - break; - - case type_t::e_vector : ... - break; - - case type_t::e_string : ... - break; - - default : continue; - } - } - - -In the above example, there are three possible "return" points and one -regular result. Only one of the four paths can ever be realised. Hence -it is necessary to capture the result of the expression value method -call. In the event, the call to return_invoked is not true then the -non-return code path was executed and the result of the evaluation -will be the result of the expression's value method. - -Note31: Processing of the return results is similar to that of the -generic function call parameters. - -The results_context provides getter methods for each of the possible -return types (scalar, vector and string) and can be used as follows: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_str = - " if (x > y) " - " return [1]; " - " else " - " return [ x, x + y, 2 * v, s + 'world' ]; "; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable ("x", x); - symbol_table.add_variable ("y", y); - symbol_table.add_variable ("z", z); - symbol_table.add_vector ("v", v); - symbol_table.add_stringvar("s", s); - - parser.compile(expression_str, expression); - - expression.value(); - - typedef exprtk::results_context results_context_t; - const results_context_t& results = expression.results(); - - if (results.count() == 4) - { - T result_x0; - T result_x1; - std::string result_s; - std::vector result_v; - - results.get_scalar(0, result_x0); - results.get_scalar(1, result_x1); - results.get_string(3, result_s ); - results.get_vector(2, result_v ); - } - - -It is however recommended that if there is to be only a single flow of -execution through the expression, that the simpler approach of -registering external variables of appropriate type be used. - -This method simply requires the variables that are to hold the various -results that are to be computed within the expression to be registered -with an associated symbol_table instance. Then within the expression -itself to have the result variables be assigned the appropriate -values. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = - " var x := 123.456; " - " var s := 'ijk'; " - " result0 := x + 78.90; " - " result1 := s + '123' "; - - double result0; - std::string result1; - - symbol_table_t symbol_table; - symbol_table.add_variable ("result0",result0); - symbol_table.add_stringvar("result1",result1); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - expression.value(); - - printf("Result0: %15.5f\n", result0 ); - printf("Result1: %s\n" , result1.c_str()); - - -In the example above, the expression will compute two results. As such -two result variables are defined to hold the values named result0 and -result1 respectively. The first is of scalar type (double), the second -is of string type. Once the expression has been evaluated, the two -variables will have been updated with the new result values, and can -then be further utilised from within the calling host program. - -There will be times when an expression may have multiple exit paths, -where not all the paths will be return-statement based. The following -example builds upon the previous examples, but this time at least one -path is not return based. - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - double x = 100.0; - double y = 200.0; - - symbol_table_t symbol_table; - expression_t expression; - parser_t parser; - - symbol_table.add_variable ("x", x); - symbol_table.add_variable ("y", y); - - expression.register_symbol_table(symbol_table); - - const std::string expression_string = - " for (var i := 0; i < 10; i += 1) " - " { " - " if (i > x) " - " { " - " return [x + y, 'return-call 1']; " - " } " - " else if (i > y) " - " { " - " return [x - y, 'return-call 2']; " - " } " - " }; " - " " - " x / y "; - - parser.compile(expression_str, expression); - - const auto result = expression.value(); - - if (expression.return_invoked()) - { - const auto results = expression.results(); - - for (std::size_t i = 0; i < results.count(); ++i) - { - const auto& rtrn_result = results[i]; - . - . - . - } - } - else - { - printf("result: %f\n",result); - } - - -After having called the value method on the expression, calling the -return_invoked method will determine if the expression completed due -to a return statement being invoked or if it finished normally. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 21 - COMPILATION ERRORS] -When attempting to compile a malformed or otherwise erroneous ExprTk -expression, the compilation process will result in an error, as is -indicated by the 'compile' method returning a false value. A -diagnostic indicating the first error encountered and its cause can be -obtained by invoking the 'error' method, as is demonstrated in the -following example: - - if (!parser.compile(expression_string,expression)) - { - printf("Error: %s\n", parser.error().c_str()); - return false; - } - - -Any error(s) resulting from a failed compilation will be stored in the -parser instance until the next time a compilation is performed. Before -then errors can be enumerated in the order they occurred by invoking -the 'get_error' method which itself will return a 'parser_error' type. -A parser_error object will contain an error diagnostic, an error mode -(or class), and the character position of the error in the expression -string. The following example demonstrates the enumeration of error(s) -in the event of a failed compilation. - - typedef exprtk::parser parser_t; - typedef exprtk::parser_error::type error_t; - - if (!parser.compile(expression_string,expression)) - { - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - typedef exprtk::parser_error::type error_t; - - error_t error = parser.get_error(i); - - printf("Error[%02d] Position: %02d Type: [%14s] Msg: %s\n", - i, - error.token.position, - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - - return false; - } - - -Assuming the following expression '2 + (3 / log(1 + x))' which uses a -variable named 'x' that has not been registered with the appropriate -symbol_table instance and is not a locally defined variable, once -compiled the above denoted post compilation error handling code shall -produce the following output: - - Error[00] Pos:17 Type:[Syntax] Msg: ERR184 - Undefined symbol: 'x' - - -For expressions comprised of multiple lines, the error position -provided in the parser_error object can be converted into a pair of -line and column numbers by invoking the 'update_error' function as is -demonstrated by the following example: - - if (!parser.compile(program_str,expression)) - { - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - typedef exprtk::parser_error::type error_t; - - error_t error = parser.get_error(i); - - exprtk::parser_error::update_error(error,program_str); - - printf("Error[%0lu] at line: %lu column: %lu\n", - i, - error.line_no, - error.column_no); - } - - return false; - } - - -Note32: There are five distinct error modes in ExprTk which denote the -class of an error. These classes are as follows: - - (a) Syntax - (b) Token - (c) Numeric - (d) Symbol Table - (e) Lexer - - -(a) Syntax Errors -These are errors related to invalid syntax found within the denoted -expression. Examples are invalid sequences of operators and variables, -incorrect number of parameters to functions, invalid conditional or -loop structures and invalid use of keywords. - - eg: 'for := sin(x,y,z) + 2 * equal > until[2 - x,3]' - - -(b) Token Errors -Errors in this class relate to token level errors detected by one or -more of the following checkers: - - (1) Bracket Checker - (2) Numeric Checker - (3) Sequence Checker - - -(c) Numeric Errors -This class of error is related to conversion of numeric values from -their string form to the underlying numerical type (float, double -etc). - -(d) Symbol Table Errors -This is the class of errors related to failures when interacting with -the registered symbol_table instance. Errors such as not being able to -find, within the symbol_table, symbols representing variables or -functions, to being unable to create new variables in the symbol_table -via the 'unknown symbol resolver' mechanism. - -Note33: The function compositor also supports error message handling -similar to how it is done via the parser. The following demonstrates -how after a failed function composition the associated errors can be -enumerated. - - typedef exprtk::function_compositor compositor_t; - typedef typename compositor_t::function function_t; - - compositor_t compositor; - - const bool compositor_result = - compositor.add( - function_t("foobar") - .vars("x","y") - .expression - ( " x + y / z " )); - - if (!compositor_result) - { - printf("Error: %s\n", compositor.error().c_str()); - - for (std::size_t i = 1; i < compositor.error_count(); ++i) - { - typedef exprtk::parser_error::type error_t; - - error_t error = compositor.get_error(i); - - printf("Err No.: %02d Pos: %02d Type: [%14s] Msg: %s\n", - static_cast(i), - static_cast(error.token.position), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str()); - } - } - - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 22 - RUNTIME LIBRARY PACKAGES] -ExprTk includes a range of extensions, that provide functionalities -beyond simple numerical calculations. Currently the available packages -are: - - +---+--------------------+-----------------------------------+ - | # | Package Name | Namespace/Type | - +---+--------------------+-----------------------------------+ - | 1 | Basic I/O | exprtk::rtl::io::package | - | 2 | File I/O | exprtk::rtl::io::file::package | - | 3 | Vector Operations | exprtk::rtl::vecops::package | - +---+--------------------+-----------------------------------+ - - -In order to make the features of a specific package available within -an expression, an instance of the package must be added to the -expression's associated symbol table. In the following example, the -file I/O package is made available for the given expression: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - exprtk::rtl::io::file::package fileio_package; - - const std::string expression_string = - " var file_name := 'file.txt'; " - " var stream := null; " - " " - " stream := open(file_name,'w'); " - " " - " write(stream,'Hello world....\n'); " - " " - " close(stream); " - " "; - - symbol_table_t symbol_table; - symbol_table.add_package(fileio_package); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - expression.value(); - - -(1) Basic I/O functions: - - (a) print - (b) println - -(2) File I/O functions: - - (a) open (b) close - (c) write (d) read - (e) getline (f) eof - -(3) Vector Operations functions: - -(a) all_true (b) all_false -(c) any_true (d) any_false -(e) assign (f) count -(g) copy (h) reverse -(i) rotate-left (j) rotate-right -(k) shift-left (l) shift-right -(m) sort (n) nth_element -(o) iota (p) sumk -(q) axpy (r) axpby -(s) axpyz (t) axpbyz -(u) axpbz (v) dot -(w) dotk (x) diff - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 23 - HELPERS & UTILS] -The ExprTk library provides a series of usage simplifications via -helper routines that combine various processes into a single 'function -call' making certain actions easier to carry out though not -necessarily in the most efficient way possible. A list of the routines -are as follows: - - (a) collect_variables - (b) collect_functions - (c) compute - (d) integrate - (e) derivative - (f) second_derivative - (g) third_derivative - - -(a) collect_variables -This function will collect all the variable symbols in a given string -representation of an expression and return them in an STL compatible -sequence data structure (eg: std::vector, dequeue etc) specialised -upon a std::string type. If an error occurs during the parsing of the -expression then the return value of the function will be false, -otherwise it will be true. An example use of the given routine is as -follows: - - const std::string expression = "x + abs(y / z)"; - - std::vector variable_list; - - if (exprtk::collect_variables(expression, variable_list)) - { - for (const auto& var : variable_list) - { - ... - } - } - else - printf("An error occurred."); - - -(b) collect_functions -This function will collect all the function symbols in a given string -representation of an expression and return them in an STL compatible -sequence data structure (eg: std::vector, dequeue etc) specialised -upon a std::string type. If an error occurs during the parsing of the -expression then the return value of the function will be false, -otherwise it will be true. An example use of the given routine is as -follows: - - const std::string expression = "x + abs(y / cos(1 + z))"; - - std::deque function_list; - - if (exprtk::collect_functions(expression, function_list)) - { - for (const auto& func : function_list) - { - ... - } - } - else - printf("An error occurred."); - - -Note34: When either the 'collect_variables' or 'collect_functions' -free functions return true - that does not necessarily indicate the -expression itself is valid. It is still possible that when compiled -the expression may have certain 'type' related errors - though it is -highly likely that no semantic errors will occur if either return -true. - -Note35: The default interface provided for both the collect_variables -and collect_functions free_functions, assumes that expressions will -only be utilising the ExprTk reserved functions (eg: abs, cos, min -etc). When user defined functions are to be used in an expression, a -symbol_table instance containing said functions can be passed to -either routine, and will be incorporated during the compilation and -Dependent Entity Collection processes. In the following example, a -user defined free function named 'foo' is registered with a -symbol_table. Finally the symbol_table instance and associated -expression string are passed to the exprtk::collect_functions routine. - - template - T foo(T v) - { - return std::abs(v + T(2)) / T(3); - } - - ...... - - exprtk::symbol_table sym_tab; - - symbol_table.add_function("foo",foo); - - const std::string expression = "x + foo(y / cos(1 + z))"; - - std::deque function_list; - - if (exprtk::collect_functions(expression, sym_tab, function_list)) - { - for (const auto& func : function_list) - { - ... - } - } - else - printf("An error occurred."); - - -(c) compute -This free function will compute the value of an expression from its -string form. If an invalid expression is passed, the result of the -function will be false indicating an error, otherwise the return value -will be true indicating success. The compute function has three -overloads, the definitions of which are: - - (1) No variables - (2) One variable called x - (3) Two variables called x and y - (3) Three variables called x, y and z - - -Example uses of each of the three overloads for the compute routine -are as follows: - - T result = T(0); - - // No variables overload - const std::string no_vars = "abs(1 - (3 / pi)) * 5"; - - if (!exprtk::compute(no_vars,result)) - printf("Failed to compute: %s",no_vars.c_str()); - else - printf("Result: %15.5f\n",result); - - // One variable 'x' overload - T x = T(123.456); - - const std::string one_var = "abs(x - (3 / pi)) * 5"; - - if (!exprtk::compute(one_var, x, result)) - printf("Failed to compute: %s",one_var.c_str()); - else - printf("Result: %15.5f\n",result); - - // Two variables 'x' and 'y' overload - T y = T(789.012); - - const std::string two_var = "abs(x - (y / pi)) * 5"; - - if (!exprtk::compute(two_var, x, y, result)) - printf("Failed to compute: %s",two_var.c_str()); - else - printf("Result: %15.5f\n",result); - - // Three variables 'x', 'y' and 'z' overload - T z = T(345.678); - - const std::string three_var = "abs(x - (y / pi)) * z"; - - if (!exprtk::compute(three_var, x, y, z, result)) - printf("Failed to compute: %s",three_var.c_str()); - else - printf("Result: %15.5f\n",result); - - -(d) integrate -This free function will attempt to perform a numerical integration of -a single variable compiled expression over a specified range and step -size. The numerical integration is based on the three point form of -Simpson's rule. The integrate function has two overloads, where the -variable of integration can either be passed as a reference or as a -name in string form. Example usage of the function is as follows: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = "sqrt(1 - (x^2))"; - - T x = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - .... - - // Integrate in domain [-1,1] using a reference to x variable - T area1 = exprtk::integrate(expression, x, T(-1), T(1)); - - // Integrate in domain [-1,1] using name of x variable - T area2 = exprtk::integrate(expression, "x", T(-1), T(1)); - - -(e) derivative -This free function will attempt to perform a numerical differentiation -of a single variable compiled expression at a given point for a given -epsilon, using a variant of Newton's difference quotient called the -five-point stencil method. The derivative function has two overloads, -where the variable of differentiation can either be passed as a -reference or as a name in string form. Example usage of the derivative -function is as follows: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = "sqrt(1 - (x^2))"; - - T x = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - .... - - // Differentiate expression at value of x = 12.3 using a reference - // to the x variable - x = T(12.3); - T derivative1 = exprtk::derivative(expression, x); - - // Differentiate expression where value x = 45.6 using name - // of the x variable - x = T(45.6); - T derivative2 = exprtk::derivative(expression, "x"); - - -(f) second_derivative -This free function will attempt to perform a numerical second -derivative of a single variable compiled expression at a given point -for a given epsilon, using a variant of Newton's difference quotient -method. The second_derivative function has two overloads, where the -variable of differentiation can either be passed as a reference or as -a name in string form. Example usage of the second_derivative function -is as follows: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = "sqrt(1 - (x^2))"; - - T x = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - .... - - // Second derivative of expression where value of x = 12.3 using a - // reference to x variable - x = T(12.3); - T derivative1 = exprtk::second_derivative(expression,x); - - // Second derivative of expression where value of x = 45.6 using - // name of x variable - x = T(45.6); - T derivative2 = exprtk::second_derivative(expression, "x"); - - -(g) third_derivative -This free function will attempt to perform a numerical third -derivative of a single variable compiled expression at a given point -for a given epsilon, using a variant of Newton's difference quotient -method. The third_derivative function has two overloads, where the -variable of differentiation can either be passed as a reference or as -a name in string form. Example usage of the third_derivative function -is as follows: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string expression_string = "sqrt(1 - (x^2))"; - - T x = T(0); - - symbol_table_t symbol_table; - symbol_table.add_variable("x",x); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - parser.compile(expression_string,expression); - - .... - - // Third derivative of expression where value of x = 12.3 using a - // reference to the x variable - x = T(12.3); - T derivative1 = exprtk::third_derivative(expression, x); - - // Third derivative of expression where value of x = 45.6 using - // name of the x variable - x = T(45.6); - T derivative2 = exprtk::third_derivative(expression, "x"); - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 24 - RUNTIME CHECKS] -The ExprTk library provides the ability to perform runtime checks -during expression evaluation so as to ensure memory access violations -errors are caught and handled without causing further issues. The -checks typically cover: - - 1. Vector access and handling - 2. String access and handling - 3. Loop iteration checks - 4. Compilation checkpointing - 5. Assert statements - - -(1) Vector Access Runtime Checks -Expressions that contain vectors where elements of the vectors may be -accessed using indexes that can only be determined at runtime may -result in memory access violations when the index is out of the -vector's bound. Some examples of problematic expressions are as -follows: - - 1. vec[i] - 2. vec[i + j] - 3. vec[i + 10] - 4. vec[i + vec[]] := x + y - 5. vec[i + j] <=> vec[i] - 6. vec[i + j] := (vec1 + vec2)[i + j] - - -In the above expressions, it is assumed that the values used in the -index operator may either exceed the vector bounds or precede the -vector's start, In short, the indexes may not necessarily be within -the range [0,vec[]). - -ExprTk provides the ability to inject a runtime check at the point of -index evaluation and handle situations where the index violates the -vector's bounds. This capability is done by registering a user- -implemented Vector Access Runtime Check (VARTC) to the parser before -expression compilation. Initially a VARTC can be defined as follows: - - struct my_vector_access_rtc final : - public exprtk::vector_access_runtime_check - { - bool handle_runtime_violation(violation_context& context) - override - { - // Handling of the violation - return ...; - } - }; - - -Then an instance of the VARTC can be registered with a parser instance -as follows: - - my_vector_access_rtc vartc; - - exprtk::symbol_table symbol_table; - - T i; - T x; - T y; - std::vector vec = { 0, 1, 2, 3, 4 }; - - symbol_table.add_variable("i" , i ); - symbol_table.add_variable("x" , x ); - symbol_table.add_variable("y" , y ); - symbol_table.add_vector ("vec", vec); - - exprtk::expression expression; - exprtk::parser parser; - - parser.register_vector_access_runtime_check(vartc); - - std::string expression = "vec[i + vec[]] := x + y"; - - parser.compile(expression_str, expression); - - try - { - expression.value(); - } - catch (std::runtime_error& rte) - { - printf("Exception: %s\n", rte.what()); - } - - -Note36: The lifetime of any parser or expression instance must not -exceed that of any VARTC instance that has been registered with it. - -When a vector access violation occurs, the registered VARTC instance's -handle_runtime_violation method will be invoked, coupled with it a -violation_context shall be provided that will contain the following -members: - - 1. base_ptr: Of type void*, which points to the first element - of the vector. The base_ptr can also be used as a key to - determine the vector upon which the access violation has - occurred. - - 2. end_ptr : Of type void*, which points to one position after - the last element of the vector - - 3. access_ptr: Of type void*, points to the memory location - which is the base_ptr offset by the derived index value. - - 4. type_size: Size of the vector's element type in bytes. This - value can be used to determine the number of elements in - the vector based on the base_ptr and end_ptr. - - -The implementation of the handle_runtime_violation method can at this -point perform various actions such as: - - 1. Log the violation - 2. Throw an exception (eg: std::runtime_error) - 3. Remedy the access_ptr to allow for the evaluation to continue - - -Note37: When employing option [3], handle_runtime_violation needs to -return true, otherwise the caller will assume an unhandled access -violation and default to using the base_ptr. - -It is recommended, at the very least, to throw an exception when -handling vector access violations and to only consider option [3] when -the the ramifications of changing the access_ptr are well understood. - -The following are simple examples of how the handle_runtime_violation -can be implemented. - -Example 1: Log the access violation to stdout and then throw a runtime -error exception: - - bool handle_runtime_violation(violation_context& context) override - { - printf("ERROR - Runtime vector access violation. " - "base: %p end: %p access: %p typesize: %lu\n", - context.base_ptr , - context.end_ptr , - context.access_ptr, - context.type_size); - - throw std::runtime_error("Runtime vector access violation."); - return false; - } - - -Example 2: Handle the access violation by resetting the access pointer -to the last value in the vector. - - bool handle_runtime_violation(violation_context& context) override - { - context.access_ptr = - static_cast(context.end_ptr) - context.type_size; - return true; - } - - -Note38: The return value of true in the above handler method signals -the caller to continue the vector access using the updated access_ptr. - - -(2) String Access Runtime Checks -Expressions that contain strings where elements or substrings of the -strings may be accessed using indexes that can only be determined at -runtime may result in memory access violations when the index or range -is out of the string's bound. Examples of problematic expressions are -as follows: - - 1. s[i : j + k] - 2. s[i : j + k][-x : y] - 3. (s1 + s2)[i : j + k] - 4. '01234'[5 + i] - 5. s += s[i : j + k] - 6. s[i : j + k] := 'chappy days'[1 : ] - - -To enable string access runtime checks all one needs to do is simply -use the following define before the ExprTk header is included or as -part of the compilation define parameters: - - exprtk_enable_range_runtime_checks - - -When the above define is used, and a string related runtime access -violation occurs a std::runtime_error exception will be thrown. The -following demonstrates the general flow of handling the access -violation: - - parser.compile(expression_string, expression) - . - . - try - { - expression.value(); - } - catch (std::runtime_error& rte) - { - printf("Exception: %s\n", rte.what()); - } - - -(3) Loop Iteration Checks -Expressions that contain loop structures (eg: for/while/repeat et al) -can be problematic from a usage point of view due to the difficulty in -determining the following: - - 1. Will the loop ever complete (aka is this an infinite loop?) - 2. Maximum loop execution time - - -ExprTk provides the ability to inject a runtime check within loop -conditionals, and to have the result of the check either signal the -loop to continue or for the check to raise a loop violation error. - -The process involves instantiating a user defined loop_runtime_check -(LRTC), registering the instance with a exprtk::parser instance and -specifying which loop types the check is to performed upon. The -following code demonstrates a how custom LRTC can be instantiated and -registered with the associated parser: - - typedef exprtk::parser parser_t; - typedef exprtk::loop_runtime_check loop_runtime_check_t; - - my_loop_rtc loop_rtc; - loop_runtime_check.loop_set = loop_runtime_check_t::e_all_loops; - loop_runtime_check.max_loop_iterations = 100000; - - parser_t parser; - - parser.register_loop_runtime_check(loop_rtc); - - -The following is an example of how one could derive from and implement -a custom loop_runtime_check: - - struct my_loop_rtc final : exprtk::loop_runtime_check - { - - bool check() override - { - // - return ... - } - - void handle_runtime_violation - (const exprtk::violation_context&) override - { - throw std::runtime_error("Loop runtime violation."); - } - }; - - -In the above code, if either the check method returns false or the -loop iteration count exceeds the max_loop_iterations value, the -handle_runtime_violation method will be invoked, coupled with it a -violation_context shall be provided that will contain the following -members: - - 1. loop: Of type loop_types. This value denotes the type of - loop that triggered the violation (e_for_loop, e_while_loop, - e_repeat_until_loop). - - 2. violation: Of type type. This value denotes the type of - violation (e_iteration_count, e_timeout) - - 3. iteration_count: Of type uint64_t. The number of iterations - that the triggering loop has executed since the start of the - expression. - - -Note39: The lifetime of any parser or expression instance must not -exceed that of any LRTC instance that has been registered with it. - -The following is an example implementation of an LRTC that -supports loop timeout violations: - - struct timeout_loop_rtc final : exprtk::loop_runtime_check - { - using time_point_t = - std::chrono::time_point; - - std::size_t iterations_ = 0; - time_point_t timeout_tp_; - - bool check() override - { - if (std::chrono::steady_clock::now() >= timeout_tp_) - { - // handle_runtime_violation shall be invoked - return false; - } - - return true; - } - - void handle_runtime_violation - (const exprtk::violation_context&) override - { - throw std::runtime_error("Loop timed out"); - } - - void set_timeout_time(const time_point_t& timeout_tp) - { - timeout_tp_ = timeout_tp; - } - }; - - -In the above code, the check method shall be invoked on each iteration -of the associated loop. Within the method the current time is compared -to the setup timeout time-point, in the event the current time exceeds -the timeout, the method returns false, triggering the violation, which -in turn will result in the handle_runtime_violation being invoked. - -The following code demonstrates how the above defined LRTC can be used -to ensure that at the very least the loop portion(s) of an expression -will never exceed a given amount of execution time. - - typedef exprtk::parser parser_t; - typedef exprtk::loop_runtime_check loop_runtime_check_t; - - my_loop_rtc loop_rtc; - loop_rtc.loop_set = loop_runtime_check_t::e_all_loops; - loop_rtc.max_loop_iterations = 100000; - - parser_t parser; - - parser.register_loop_runtime_check(loop_rtc); - . - . - . - . - using std::chrono; - const auto max_duration = seconds(25); - - try - { - loop_rtc.set_timeout_time(steady_clock::now() + max_duration); - expression.value(); - - loop_rtc.set_timeout_time(steady_clock::now() + max_duration); - expression.value(); - - loop_rtc.set_timeout_time(steady_clock::now() + max_duration); - expression.value(); - - } - catch(std::runtime_error& exception) - { - printf("Exception: %s\n",exception.what()); - } - - -(4) Compilation Process Checkpointing -When compiling an expression, one may require the compilation process -to periodically checkpoint its internal state, subsequently at the -checkpoint one can then make the decision to continue the compilation -process or to immediately terminate and return. - -The following are reasons one may want to checkpoint the compilation -process: - - 1. Determine if the compilation process has run for far too long - 2. Determine if the current stack frame size exceeds a limit - 3. Enforce an external termination request - - -ExprTk provides the ability to inject a checkpoint into the -compilation process that will be evaluated periodically. This -capability is achieved by registering a user-implemented compilation -check (CCK) to the parser before expression compilation. Initially a -CCK can be defined as follows: - - struct compilation_timeout_check final : - public exprtk::compilation_check - { - bool continue_compilation(compilation_context& context) - override - { - // Determine if compilation should continue - return ...; - } - }; - - -An example checkpoint use-case could be that we do not want the -compilation process to take longer than a maximum defined period, eg: -five seconds. The associated compilation check implementation could be -as follows: - - struct my_compilation_timeout_check final : - public exprtk::compilation_check - { - - bool continue_compilation(compilation_context& context) - override - { - static constexpr std::size_t max_iters_per_check = 1000; - - if (++iterations_ >= max_iters_per_check) - { - if (std::chrono::steady_clock::now() >= timeout_tp_) - { - context.error_message = "Compilation has timed-out"; - return false; - } - - iterations_ = 0; - } - - return true; - } - - using time_point_t = std::chrono::time_point; - - void set_timeout_time(const time_point_t& timeout_tp) - { - timeout_tp_ = timeout_tp; - } - - std::size_t iterations_ = 0; - time_point_t timeout_tp_; - }; - - -Usage of the above defined compilation check will require registering -the check with the parser, setting up the expiry time and then -proceeding to compile the expression. The following is a general -outline of what will be needed: - - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - expression_t expression; - - my_compilation_timeout_check compilation_timeout_check; - - parser_t parser; - parser. - register_compilation_timeout_check(compilation_timeout_check); - - const auto max_duration = std::chrono::seconds(5); - const auto timeout_tp = - std::chrono::steady_clock::now() + max_duration; - - compilation_timeout_check.set_timeout_time(timeout_tp); - - if (!parser.compile(large_expression_string, expression)) - { - printf("Error: %s\t\n", parser.error().c_str()); - return; - } - - -(5) Assert statements -ExprTk supports the use of assert statements to verify pre and post -conditions during the evaluation of expressions. The assert statements -are only active when a user defined assert handler is registered with -the parser before expression compilation, otherwise they are compiled -out, this is similar to how asserts are included/excluded in C++ -coupled with the definition of NDEBUG. The assert syntax has three -variations as described below: - - assert(x + y > i); - assert(x + y > i, 'assert statement 1'); - assert(x + y > i, 'assert statement 1', 'ASSERT01'); - - -The three assert statement input parameters are as follows: - - 1. assert condition (mandatory) - 2. assert message (optional) - 3. assert id (optional) - - -The assert condition is essentially a boolean statement that is -expected to be true during evaluation. The other two parameters of -assert message and ID are string values that are intended to provide -feedback to the handler and to ensure the uniqueness of assert -statement respectively. The three parameters denoted above and the -offset of the assert statement from the beginning of the expression -are placed inside assert_context that is provided as part of the -assert_check handler. A user defined assert_check handler can be -defined as follows: - - struct my_assert_handler final : public exprtk::assert_check - { - void handle_assert(const assert_context& ctxt) override - { - printf("condition: [%s] \n", ctxt.condition.c_str()); - printf("message: [%s] \n", ctxt.message .c_str()); - printf("id: [%s] \n", ctxt.id .c_str()); - printf("offset: [%lu]\n", ctxt.offet ); - // throw std::runtime_error(.....); - } - }; - - -Once the assert_check handler has been registered with the parser, -expressions that contain assert statements will have their asserts -compiled in as part final evaluable expression instance: - - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - const std::string program = - " var x := 4; " - " " - " for (var i := 0; i < 10; i += 1) " - " { " - " assert(i < x, 'assert statement 1'); " - " } "; - - my_assert_handler handler; - - expression_t expression; - parser_t parser; - - parser.register_assert_check(handler); - parser.compile(program, expression); - - -(6) Runtime Check Overheads -All of the above mentioned runtime checks will incur an execution time -overhead during the evaluation of expressions. This is an unfortunate -but necessary side-effect of the process when runtime safety is of -concern. - -A recommendation to consider, that is not demonstrated above, is that -in the check method of the LRTC, one should not evaluate the timeout -condition on every call to check (aka on every loop iteration). -Instead a counter should be maintained and incremented on each call -and when the counter exceeds some predefined amount (eg: 10000 -iterations), then the timeout based check can be preformed. The -reasoning here is that incrementing an integer should be far less -expensive than computing the current "now" time-point. - - -(7) Runtime Check Limitations -The available RTC mechanisms in ExprTk are limited to implementing -said checks only within ExprTk based syntax sections of an expression. -The RTCs will not be active within user defined functions, or -composited functions that have been compiled with parser instances -that don't have the same set of RTC configurations enabled. - - -(8) Runtime Handlers - -When implementing stateful run-time check handlers one must be careful -to ensure the handler is setup correctly or reset between calls to the -expression::value or parser::compile methods. - -The following example code utilises the compilation timeout RTC and -expression loop duration RTC examples from above to demonstrate the -need to reset the internal state of the various handlers before -compilation and valuation processes are invoked, as not doing so will -affect the ability for the next expression in the list to either be -correctly compiled or evaluated due to the potential of erroneous -timeouts occurring. - - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - - my_compilation_timeout_check compilation_timeout_check; - - my_loop_rtc loop_rtc; - loop_rtc.loop_set = loop_runtime_check_t::e_all_loops; - loop_rtc.max_loop_iterations = 100000; - - parser_t parser; - parser.register_loop_runtime_check(loop_rtc); - parser. - register_compilation_timeout_check(compilation_timeout_check); - - const auto compile_timeout_tp = []() - { - const auto max_duration = std::chrono::seconds(5); - return std::chrono::steady_clock::now() + max_duration; - }; - - const auto loop_timeout_tp = []() - { - const auto max_duration = std::chrono::seconds(10); - return std::chrono::steady_clock::now() + max_duration; - }; - - const std::vector expressions = - { - "x + y / 2", - "sin(x) / cos(y) + 1", - "clamp(-1, sin(2 * pi * x) + cos(y / 2 * pi), +1)" - }; - - for (const auto& expr_str : expressions) - { - // Reset the timeout for the compilation RTC - compilation_timeout_check - .set_timeout_time(compile_timeout_tp()); - - expression_t expression; - - if (!parser.compile(large_expression_string, expression)) - { - printf("Error: %s\t\n", parser.error().c_str()); - continue; - } - - try - { - // Reset the timeout for the loop duration RTC - loop_rtc.set_timeout_time(loop_timeout_tp()); - - expression.value(); - } - catch(std::runtime_error& exception) - { - printf("Exception: %s\n Expression: %s\n", - exception.what(), - expr_str.c_str()); - } - } - - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 25 - BENCHMARKING] -As part of the ExprTk package there is an expression benchmark utility -named 'exprtk_benchmark'. The utility attempts to determine expression -evaluation speed (or rate of evaluations - evals per second), by -evaluating each expression numerous times and mutating the underlying -variables of the expression between each evaluation. The utility -assumes any valid ExprTk expression (containing conditionals, loops -etc), however it will only make use of a predefined set of scalar -variables, namely: a, b, c, x, y, z and w. That being said expressions -themselves can contain any number of local variables, vectors or -strings. There are two modes of operation: - - (1) Default - (2) User Specified Expressions - - -(1) Default -The default mode is enabled simply by executing the exprtk_benchmark -binary with no command line parameters. In this mode a predefined set -of expressions will be evaluated in three phases: - - (a) ExprTk evaluation - (b) Native evaluation - (c) ExprTk parse - - -In the first two phases (a and b) a list of predefined (hard-coded) -expressions will be evaluated using both ExprTk and native mode -implementations. This is done so as to compare evaluation times -between ExprTk and native implementations. The set of expressions used -are as follows: - - (01) (y + x) - (02) 2 * (y + x) - (03) (2 * y + 2 * x) - (04) ((1.23 * x^2) / y) - 123.123 - (05) (y + x / y) * (x - y / x) - (06) x / ((x + y) + (x - y)) / y - (07) 1 - ((x * y) + (y / x)) - 3 - (08) (5.5 + x) + (2 * x - 2 / 3 * y) * (x / 3 + y / 4) + (y + 7.7) - (09) 1.1x^1 + 2.2y^2 - 3.3x^3 + 4.4y^15 - 5.5x^23 + 6.6y^55 - (10) sin(2 * x) + cos(pi / y) - (11) 1 - sin(2 * x) + cos(pi / y) - (12) sqrt(111.111 - sin(2 * x) + cos(pi / y) / 333.333) - (13) (x^2 / sin(2 * pi / y)) - x / 2 - (14) x + (cos(y - sin(2 / x * pi)) - sin(x - cos(2 * y / pi))) - y - (15) clamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0) - (16) max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11)) - (17) if((y + (x * 2.2)) <= (x + y + 1.1), x - y, x*y) + 2 * pi / x - - -The third and final phase (c), is used to determine average -compilation rates (compiles per second) for expressions of varying -complexity. Each expression is compiled 100K times and the average for -each expression is output. - - -(2) User Specified Expressions -In this mode two parameters are passed to the utility via the command -line: - - (a) A name of a text file containing one expression per line - (b) An integer representing the number of evaluations per expression - - -An example execution of the benchmark utility in this mode is as -follows: - - ./exprtk_benchmark my_expressions.txt 1000000 - - -The above invocation will load the expressions from the file -'my_expressions.txt' and will then proceed to evaluate each expression -one million times, varying the above mentioned variables (x, y, z -etc.) between each evaluation, and at the end of each expression round -a print out of running times, result of a single evaluation and total -sum of results is provided as demonstrated below: - - Expression 1 of 7 4.770 ns 47700 ns ( 9370368.0) '((((x+y)+z)))' - Expression 2 of 7 4.750 ns 47500 ns ( 1123455.9) '((((x+y)-z)))' - Expression 3 of 7 4.766 ns 47659 ns (21635410.7) '((((x+y)*z)))' - Expression 4 of 7 5.662 ns 56619 ns ( 1272454.9) '((((x+y)/z)))' - Expression 5 of 7 4.950 ns 49500 ns ( 4123455.9) '((((x-y)+z)))' - Expression 6 of 7 7.581 ns 75810 ns (-4123455.9) '((((x-y)-z)))' - Expression 7 of 7 4.801 ns 48010 ns ( 0.0) '((((x-y)*z)))' - - -The benchmark utility can be very useful when investigating evaluation -efficiency issues with ExprTk or simply during the prototyping of -expressions. As an example, lets take the following expression: - - 1 / sqrt(2x) * e^(3y) - - -Lets say we would like to determine which sub-part of the expression -takes the most time to evaluate and perhaps attempt to rework the -expression based on the results. In order to do this we will create a -text file called 'test.txt' and then proceed to make some educated -guesses about how to break the expression up into its more -'interesting' sub-parts which we will then add as one expression per -line to the file. An example breakdown may be as follows: - - 1 / sqrt(2x) * e^(3y) - 1 / sqrt(2x) - e^(3y) - - -The benchmark with the given file, where each expression will be -evaluated 100K times can be executed as follows: - - ./exprtk_benchmark test.txt 100000 - Expr 1 of 3 90.340 ns 9034000 ns (296417859.3) '1/sqrt(2x)*e^(3y)' - Expr 2 of 3 11.100 ns 1109999 ns ( 44267.3) '1/sqrt(2x)' - Expr 3 of 3 77.830 ns 7783000 ns (615985286.6) 'e^(3y)' - [*] Number Of Evals: 300000 - [*] Total Time: 0.018sec - [*] Total Single Eval Time: 0.000ms - - -From the results above we conclude that the third expression (e^(3y)) -consumes the largest amount of time. The variable 'e', as used in both -the benchmark and in the expression, is an approximation of the -transcendental mathematical constant e (2.71828182845904...) hence the -sub-expression should perhaps be modified to use the generally more -efficient built-in 'exp' function. - - ./exprtk_benchmark test.txt 1000000 - Expr 1 of 5 86.563 ns 8656300ns (296417859.6) '1/sqrt(2x)*e^(3y)' - Expr 2 of 5 40.506 ns 4050600ns (296417859.6) '1/sqrt(2x)*exp(3y)' - Expr 3 of 5 14.248 ns 1424799ns ( 44267.2) '1/sqrt(2x)' - Expr 4 of 5 88.840 ns 8884000ns (615985286.9) 'e^(3y)' - Expr 5 of 5 29.267 ns 2926699ns (615985286.9) 'exp(3y)' - [*] Number Of Evals: 5000000 - [*] Total Time: 0.260sec - [*] Total Single Eval Time: 0.000ms - - -The above output demonstrates the results from making the previously -mentioned modification to the expression. As can be seen the new form -of the expression using the 'exp' function reduces the evaluation time -by over 50%, in other words increases the evaluation rate by two fold. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 26 - EXPRTK NOTES] -The following is a list of facts and suggestions one may want to take -into account when using ExprTk: - - (00) Precision and performance of expression evaluations are the - dominant principles of the ExprTk library. - - (01) ExprTk uses a rudimentary imperative programming model with - syntax based on languages such as Pascal and C. Furthermore - ExprTk is an LL(2) type grammar and is processed using a - recursive descent parsing algorithm. - - (02) Supported types are float, double, long double and MPFR/GMP. - Generally any user defined numerical type that supports all the - basic floating point arithmetic operations: -,+,*,/,^,% etc; - unary and binary operations: sin,cos,min,max,equal etc and any - other ExprTk dependent operations can be used to specialise the - various components: expression, parser and symbol_table. - - (03) Standard arithmetic operator precedence is applied (BEDMAS). In - general C, Pascal or Rust equivalent unary, binary, logical and - equality/inequality operator precedence rules apply. - eg: a == b and c > d + 1 ---> (a == b) and (c > (d + 1)) - x - y <= z / 2 ---> (x - y) <= (z / 2) - a - b / c * d^2^3 ---> a - ((b / c) * d^(2^3)) - - (04) Results of expressions that are deemed as being 'valid' are to - exist within the set of Real numbers. All other results will be - of the value: Not-A-Number (NaN). However this may not - necessarily be a requirement for user defined numerical types, - eg: complex number type. - - (05) Supported user defined types are numeric and string - variables, numeric vectors and functions. - - (06) All reserved words, keywords, variable, vector, string and - function names are case-insensitive. - - (07) Variable, vector, string variable and function names must begin - with a letter (A-Z or a-z), then can be comprised of any - combination of letters, digits, underscores and dots, ending in - either a letter (A-Z or a-z), digit or underscore. (eg: x, y2, - var1, power_func99, person.age, item.size.0). The associated - regex pattern is: [a-zA-Z][a-zA-Z0-9_.]*[a-zA-Z0-9_]+ - - (08) Expression lengths and sub-expression lists are limited only by - storage capacity. - - (09) The life-time of objects registered with or created from a - specific symbol-table must span at least the lifetime of the - symbol table instance and all compiled expressions which - utilise objects, such as variables, strings, vectors, function - compositor functions and functions of that symbol-table, - otherwise the result will be undefined behaviour. - - (10) Equal and not_equal are normalised-epsilon equality routines, - which use epsilons of 0.0000000001 and 0.000001 for double and - float types respectively. - - (11) All trigonometric functions assume radian input unless stated - otherwise. - - (12) Expressions may contain white-space characters such as space, - tabs, new-lines, control-feed et al. - ('\n', '\r', '\t', '\b', '\v', '\f') - - (13) Strings may be comprised of any combination of letters, digits - special characters including (~!@#$%^&*()[]|=+ ,./?<>;:"`~_) or - hexadecimal escaped sequences (eg: \0x30) and must be enclosed - with single-quotes. - eg: 'Frankly my dear, \0x49 do n0t give a damn!' - - (14) User defined normal functions can have up to 20 parameters, - where as user defined generic-functions and vararg-functions - can have an unlimited number of parameters. - - (15) The inbuilt polynomial functions can be at most of degree 12. - - (16) Where appropriate constant folding optimisations may be applied. - (eg: The expression '2 + (3 - (x / y))' becomes '5 - (x / y)') - - (17) If the strength reduction compilation option has been enabled, - then where applicable strength reduction optimisations may be - applied. - - (18) String processing capabilities are available by default. To - turn them off, the following needs to be defined at compile - time: exprtk_disable_string_capabilities - - (19) Composited functions can call themselves or any other functions - that have been defined prior to their own definition. - - (20) Recursive calls made from within composited functions will have - a stack size bound by the stack of the executing architecture. - - (21) User defined functions by default are assumed to have side - effects. As such an "all constant parameter" invocation of such - functions wont result in constant folding. If the function has - no side-effects then that can be noted during the constructor - of the ifunction allowing it to be constant folded where - appropriate. - - (22) The entity relationship between symbol_table and an expression - is many-to-many. However the intended 'typical' use-case where - possible, is to have a single symbol table manage the variable - and function requirements of multiple expressions. - - (23) The common use-case for an expression is to have it compiled - only ONCE and then subsequently have it evaluated multiple - times. An extremely inefficient and suboptimal approach would - be to recompile an expression from its string form every time - it requires evaluating. - - (24) It is strongly recommended that the return value of method - invocations from the parser and symbol_table types be taken - into account. Specifically the 'compile' method of the parser - and the 'add_xxx' set of methods of the symbol_table as they - denote either the success or failure state of the invoked call. - Continued processing from a failed state without having first - rectified the underlying issue will in turn result in further - failures and undefined behaviours. - - (25) The following are examples of compliant floating point value - representations: - - (01) 12345 (06) -123.456 - (02) +123.456e+12 (07) 123.456E-12 - (03) +012.045e+07 (08) .1234 - (04) 1234. (09) -56789. - (05) 123.456f (10) -321.654E+3L - - (26) Expressions may contain any of the following comment styles: - - (1) // .... \n - (2) # .... \n - (3) /* .... */ - - (27) The 'null' value type is a special non-zero type that - incorporates specific semantics when undergoing operations with - the standard numeric type. The following is a list of type and - boolean results associated with the use of 'null': - - (1) null +,-,*,/,% x --> x - (2) x +,-,*,/,% null --> x - (3) null +,-,*,/,% null --> null - (4) null == null --> true - (5) null == x --> true - (6) x == null --> true - (7) x != null --> false - (8) null != null --> false - (9) null != x --> false - - (28) The following is a list of reserved words and symbols used by - ExprTk. Attempting to add a variable or custom function to a - symbol table using any of the reserved words will result in a - failure. - - abs, acos, acosh, and, asin, asinh, assert, atan, atan2, - atanh, avg, break, case, ceil, clamp, continue, cosh, cos, - cot, csc, default, deg2grad, deg2rad, else, equal, erfc, - erf, exp, expm1, false, floor, for, frac, grad2deg, hypot, - iclamp, if, ilike, in, inrange, in, like, log, log10, log1p, - log2, logn, mand, max, min, mod, mor, mul, nand, ncdf, nor, - not, not_equal, not, null, or, pow, rad2deg, repeat, return, - root, roundn, round, sec, sgn, shl, shr, sinc, sinh, sin, - sqrt, sum, swap, switch, tanh, tan, true, trunc, until, var, - while, xnor, xor - - (29) Every valid ExprTk statement is a "value returning" expression. - Unlike some languages that limit the types of expressions that - can be performed in certain situations, in ExprTk any valid - expression can be used in any "value consuming" context. eg: - - var y := 3; - for (var x := switch - { - case 1 : 7; - case 2 : -1 + ~{var x{};}; - default : y > 2 ? 3 : 4; - }; - x != while (y > 0) { y -= 1; }; - x -= { - if (min(x,y) < 2 * max(x,y)) - x + 2; - else - x + y - 3; - } - ) - { - (x + y) / (x - y); - }; - - (30) It is recommended when prototyping expressions that the ExprTk - REPL be utilised, as it supports all the features available in - the library, including complete error analysis, benchmarking - and dependency dumps etc which allows for rapid - coding/prototyping and debug cycles without the hassle of - having to recompile test programs with expressions that have - been hard-coded. It is also a good source of truth for how the - library's various features can be applied. - - (31) For performance considerations, one should assume the actions - of expression, symbol table and parser instance instantiation - and destruction, and the expression compilation process itself - to be of high latency. Hence none of them should be part of any - performance critical code paths, and should instead occur - entirely either before or after such code paths. - - (32) Deep copying an expression instance for the purposes of - persisting to disk or otherwise transmitting elsewhere with the - intent to 'resurrect' the expression instance later on is not - possible due to the reasons described in the final note of - Section 10. The recommendation is to instead simply persist the - string form of the expression and compile the expression at - run-time on the target. - - (33) The correctness and robustness of the ExprTk library is - maintained by having a comprehensive suite of unit tests and - functional tests all of which are run using sanitizers (ASAN, - UBSAN, LSAN, MSAN, TSAN). Additionally, continuous fuzz-testing - provided by Google OSS Fuzz, and static analysis via Synopsis - Coverity. - - (34) The library name ExprTk is pronounced "Ex-Pee-Ar-Tee-Kay" or - simply "Mathematical Expression Toolkit" - - - (35) For general support, inquires or bug/issue reporting: - https://www.partow.net/programming/exprtk/index.html#support - - (36) Before jumping in and using ExprTk, do take the time to peruse - the documentation and all of the examples, both in the main and - the extras distributions. Having an informed general view of - what can and can't be done, and how something should be done - with ExprTk, will likely result in a far more productive and - enjoyable programming experience. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 27 - SIMPLE EXPRTK EXAMPLE] -The following is a simple yet complete example demonstrating typical -usage of the ExprTk Library. The example instantiates a symbol table -object, adding to it three variables named x, y and z, and a custom -user defined function, that accepts only two parameters, named myfunc. -The example then proceeds to instantiate an expression object and -register to it the symbol table instance. - -A parser is then instantiated, and the string representation of the -expression and the expression object are passed to the parser's -compile method for compilation. If an error occurred during -compilation, the compile method will return false, leading to a series -of error diagnostics being printed to stdout. Otherwise the newly -compiled expression is evaluated by invoking the expression object's -value method, and subsequently printing the result of the computation -to stdout. - - ---- snip --- -#include -#include - -#include "exprtk.hpp" - -template -struct myfunc final : public exprtk::ifunction -{ - myfunc() : exprtk::ifunction(2) {} - - T operator()(const T& v1, const T& v2) override - { - return T(1) + (v1 * v2) / T(3); - } -}; - -int main() -{ - typedef exprtk::symbol_table symbol_table_t; - typedef exprtk::expression expression_t; - typedef exprtk::parser parser_t; - typedef exprtk::parser_error::type error_t; - - const std::string expression_string = - "z := 2 myfunc([4 + sin(x / pi)^3],y ^ 2)"; - - double x = 1.1; - double y = 2.2; - double z = 3.3; - - myfunc mf; - - symbol_table_t symbol_table; - symbol_table.add_constants(); - symbol_table.add_variable("x",x); - symbol_table.add_variable("y",y); - symbol_table.add_variable("z",z); - symbol_table.add_function("myfunc",mf); - - expression_t expression; - expression.register_symbol_table(symbol_table); - - parser_t parser; - - if (!parser.compile(expression_string,expression)) - { - // A compilation error has occurred. Attempt to - // print all errors to stdout. - - printf("Error: %s\tExpression: %s\n", - parser.error().c_str(), - expression_string.c_str()); - - for (std::size_t i = 0; i < parser.error_count(); ++i) - { - // Include the specific nature of each error - // and its position in the expression string. - - error_t error = parser.get_error(i); - - printf("Error: %02d Position: %02d " - "Type: [%s] " - "Message: %s " - "Expression: %s\n", - static_cast(i), - static_cast(error.token.position), - exprtk::parser_error::to_str(error.mode).c_str(), - error.diagnostic.c_str(), - expression_string.c_str()); - } - - return 1; - } - - // Evaluate the expression and obtain its result. - - double result = expression.value(); - - printf("Result: %10.5f\n",result); - - return 0; -} ---- snip --- - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 28 - BUILD OPTIONS] -When building ExprTk there are a number of defines that will enable or -disable certain features and capabilities. The defines can either be -part of a compiler command line switch or scoped around the include to -the ExprTk header. The defines are as follows: - - (01) exprtk_enable_debugging - (02) exprtk_disable_cardinal_pow_optimisation - (03) exprtk_disable_comments - (04) exprtk_disable_break_continue - (05) exprtk_disable_sc_andor - (06) exprtk_disable_return_statement - (07) exprtk_disable_enhanced_features - (08) exprtk_disable_string_capabilities - (09) exprtk_disable_superscalar_unroll - (10) exprtk_disable_rtl_io - (11) exprtk_disable_rtl_io_file - (12) exprtk_disable_rtl_vecops - (13) exprtk_disable_caseinsensitivity - (14) exprtk_enable_range_runtime_checks - -(01) exprtk_enable_debugging -This define will enable printing of debug information to stdout during -the compilation process. - -(02) exprtk_disable_cardinal_pow_optimisation -This define will disable the optimisation invoked when constant -integers are used as powers in exponentiation expressions (eg: x^7). - -(03) exprtk_disable_comments -This define will disable the ability for expressions to have comments. -Expressions that have comments when parsed with a build that has this -option, will result in a compilation failure. - -(04) exprtk_disable_break_continue -This define will disable the loop-wise 'break' and 'continue' -capabilities. Any expression that contains those keywords will result -in a compilation failure. - -(05) exprtk_disable_sc_andor -This define will disable the short-circuit '&' (and) and '|' (or) -operators - -(06) exprtk_disable_return_statement -This define will disable use of return statements within expressions. - -(07) exprtk_disable_enhanced_features -This define will disable all enhanced features such as strength -reduction and special function optimisations and expression specific -type instantiations. This feature will reduce compilation times and -binary sizes but will also result in massive performance degradation -of expression evaluations. - -(08) exprtk_disable_string_capabilities -This define will disable all string processing capabilities. Any -expression that contains a string or string related syntax will result -in a compilation failure. - -(09) exprtk_disable_superscalar_unroll -This define will set the loop unroll batch size to 4 operations per -loop instead of the default 8 operations. This define is used in -operations that involve vectors and aggregations over vectors. When -targeting non-superscalar architectures, it may be recommended to -build using this particular option if efficiency of evaluations is of -concern. - -(10) exprtk_disable_rtl_io -This define will disable all of basic IO RTL package features. When -present, any attempt to register the basic IO RTL package with a given -symbol table will fail causing a compilation error. - -(11) exprtk_disable_rtl_io_file -This define will disable the file I/O RTL package features. When -present, any attempts to register the file I/O package with a given -symbol table will fail causing a compilation error. - -(12) exprtk_disable_rtl_vecops -This define will disable the extended vector operations RTL package -features. When present, any attempts to register the vector operations -package with a given symbol table will fail causing a compilation -error. - -(13) exprtk_disable_caseinsensitivity -This define will disable case-insensitivity when matching variables -and functions. Furthermore all reserved and keywords will only be -acknowledged when in all lower-case. - -(14) exprtk_enable_range_runtime_checks -This define will enable run-time checks pertaining to vector indexing -operations used in any of the vector-to-vector and vector-to-scalar -operations. - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 29 - FILES] -The source distribution of ExprTk is comprised of the following set of -files: - - (00) Makefile - (01) readme.txt - (02) exprtk.hpp - (03) exprtk_test.cpp - (04) exprtk_benchmark.cpp - (05) exprtk_simple_example_01.cpp - (06) exprtk_simple_example_02.cpp - (07) exprtk_simple_example_03.cpp - (08) exprtk_simple_example_04.cpp - (09) exprtk_simple_example_05.cpp - (10) exprtk_simple_example_06.cpp - (11) exprtk_simple_example_07.cpp - (12) exprtk_simple_example_08.cpp - (13) exprtk_simple_example_09.cpp - (14) exprtk_simple_example_10.cpp - (15) exprtk_simple_example_11.cpp - (16) exprtk_simple_example_12.cpp - (17) exprtk_simple_example_13.cpp - (18) exprtk_simple_example_14.cpp - (19) exprtk_simple_example_15.cpp - (20) exprtk_simple_example_16.cpp - (21) exprtk_simple_example_17.cpp - (22) exprtk_simple_example_18.cpp - (23) exprtk_simple_example_19.cpp - (24) exprtk_simple_example_20.cpp - (25) exprtk_simple_example_21.cpp - (26) exprtk_simple_example_22.cpp - (27) exprtk_simple_example_23.cpp - (28) exprtk_simple_example_24.cpp - - -Details for each of the above examples can be found here: - - https://www.partow.net/programming/exprtk/index.html#examples - - -Various extended and advanced examples using ExprTk are available -via the following: - - (00) exprtk_american_option_binomial_model.cpp - (01) exprtk_binomial_coefficient.cpp - (02) exprtk_bsm_benchmark.cpp - (03) exprtk_calc.cpp - (04) exprtk_collatz.cpp - (05) exprtk_compilation_timeout.cpp - (06) exprtk_exprgen.cpp - (07) exprtk_extract_dependents.cpp - (08) exprtk_e_10kdigits.cpp - (09) exprtk_factorize_fermat.cpp - (10) exprtk_factorize_pollard.cpp - (11) exprtk_fizzbuzz.cpp - (12) exprtk_funcall_benchmark.cpp - (13) exprtk_game_of_life.cpp - (14) exprtk_gcd.cpp - (15) exprtk_gnuplot.cpp - (16) exprtk_gnuplot_multi.cpp - (17) exprtk_groups_examples.cpp - (18) exprtk_immutable_symbol_table_example.cpp - (19) exprtk_import_packages.cpp - (20) exprtk_instruction_primer.cpp - (21) exprtk_jump_diffusion_process.cpp - (22) exprtk_loop_timeout_rtc.cpp - (23) exprtk_magic_square.cpp - (24) exprtk_mandelbrot.cpp - (25) exprtk_max_subarray_sum.cpp - (26) exprtk_maze_generator.cpp - (27) exprtk_miller_rabin_primality_test.cpp - (28) exprtk_montecarlo_e.cpp - (29) exprtk_montecarlo_option_pricing_model.cpp - (30) exprtk_montecarlo_pi.cpp - (31) exprtk_naive_primes.cpp - (32) exprtk_normal_random_marsaglia_method.cpp - (33) exprtk_nqueens_problem.cpp - (34) exprtk_nthroot_bisection.cpp - (35) exprtk_ornstein_uhlenbeck_process.cpp - (36) exprtk_pascals_triangle.cpp - (37) exprtk_pi_10kdigits.cpp - (38) exprtk_prime_sieve.cpp - (39) exprtk_prime_sieve_vectorized.cpp - (40) exprtk_pythagorean_triples.cpp - (41) exprtk_recursive_fibonacci.cpp - (42) exprtk_repl.cpp - (43) exprtk_riddle.cpp - (44) exprtk_rtc_overhead.cpp - (45) exprtk_sudoku_solver.cpp - (46) exprtk_sumofprimes.cpp - (47) exprtk_symtab_functions.cpp - (48) exprtk_testgen.cpp - (49) exprtk_tower_of_hanoi.cpp - (50) exprtk_truthtable_gen.cpp - (51) exprtk_vectorized_binomial_model.cpp - (52) exprtk_vectornorm.cpp - (53) exprtk_vector_benchmark.cpp - (54) exprtk_vector_benchmark_multithreaded.cpp - (55) exprtk_vector_resize_example.cpp - (56) exprtk_vector_resize_inline_example.cpp - (57) exprtk_wiener_process_pi.cpp - - -Details for each of the above examples can be found here: - - https://partow.net/programming/exprtk/index.html#variousexamples - -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -[SECTION 30 - LANGUAGE STRUCTURE] -The following are the various language structures available within -ExprTk and their structural representations. - - (00) If Statement - (01) Else Statement - (02) Ternary Statement - (03) While Loop - (04) Repeat Until Loop - (05) For Loop - (06) Switch Statement - (07) Multi Subexpression Statement - (08) Multi Case-Consequent Statement - (09) Variable Definition Statement - (10) Vector Definition Statement - (11) String Definition Statement - (12) Range Statement - (13) Return Statement - - -(00) - If Statement -+-------------------------------------------------------------+ -| | -| [if] ---> [(] ---> [condition] -+-> [,] -+ | -| | | | -| +---------------<---------------+ | | -| | | | -| | +------------------<------------------+ | -| | | | -| | +--> [consequent] ---> [,] ---> [alternative] ---> [)] | -| | | -| +--> [)] --+-> [{] ---> [expression*] ---> [}] --+ | -| | | | -| | +---------<----------+ | -| +----<-----+ | | -| | v | -| +--> [consequent] --> [;] -{*}-> [else-statement] | -| | -+-------------------------------------------------------------+ - - -(01) - Else Statement -+-------------------------------------------------------------+ -| | -| [else] -+-> [alternative] ---> [;] | -| | | -| +--> [{] ---> [expression*] ---> [}] | -| | | -| +--> [if-statement] | -| | -+-------------------------------------------------------------+ - - -(02) - Ternary Statement -+-------------------------------------------------------------+ -| | -| [condition] ---> [?] ---> [consequent] ---> [:] --+ | -| | | -| +------------------------<------------------------+ | -| | | -| +--> [alternative] --> [;] | -| | -+-------------------------------------------------------------+ - - -(03) - While Loop -+-------------------------------------------------------------+ -| | -| [while] ---> [(] ---> [condition] ---> [)] ---+ | -| | | -| +----------------------<----------------------+ | -| | | -| +--> [{] ---> [expression*] ---> [}] | -| | -+-------------------------------------------------------------+ - - -(04) - Repeat Until Loop -+-------------------------------------------------------------+ -| | -| [repeat] ---> [expression*] ---+ | -| | | -| +--------------<---------------+ | -| | | -| +--> [until] ---> [(] ---> [condition] --->[)] | -| | -+-------------------------------------------------------------+ - - -(05) - For Loop -+-------------------------------------------------------------+ -| | -| [for] ---> [(] -+-> [initialise expression] --+--+ | -| | | | | -| +------------->---------------+ v | -| | | -| +-----------------------<------------------------+ | -| | | -| +--> [;] -+-> [condition] -+-> [;] ---+ | -| | | | | -| +------->--------+ v | -| | | -| +------------------<---------+--------+ | -| | | | -| +--> [increment expression] -+-> [)] --+ | -| | | -| +------------------<-------------------+ | -| | | -| +--> [{] ---> [expression*] ---> [}] | -| | -+-------------------------------------------------------------+ - - -(06) - Switch Statement -+-------------------------------------------------------------+ -| | -| [switch] ---> [{] ---+ | -| | | -| +---------<----------+-----------<-----------+ | -| | | | -| +--> [case] ---> [condition] ---> [:] ---+ | | -| | | | -| +-------------------<--------------------+ | | -| | | | -| +--> [consequent] ---> [;] --------->--------+ | -| | | | -| | | | -| +--> [default] ---> [consequent] ---> [;] ---+ | -| | | | -| +---------------------<----------------------+ | -| | | -| +--> [}] | -| | -+-------------------------------------------------------------+ - - -(07) - Multi Subexpression Statement -+-------------------------------------------------------------+ -| | -| +--------------<---------------+ | -| | | | -| [~] ---> [{\(] -+-> [expression] -+-> [;\,] ---+ | -| | | -| +----------------<----------------+ | -| | | -| +--> [}\)] | -| | -+-------------------------------------------------------------+ - - -(08) - Multi Case-Consequent Statement -+-------------------------------------------------------------+ -| | -| [[*]] ---> [{] ---+ | -| | | -| +--------<--------+--------------<----------+ | -| | | | -| +--> [case] ---> [condition] ---> [:] ---+ | | -| | | | -| +-------------------<--------------------+ | | -| | | | -| +--> [consequent] ---> [;] ---+------>------+ | -| | | -| +--> [}] | -| | -+-------------------------------------------------------------+ - - -(09) - Variable Definition Statement -+-------------------------------------------------------------+ -| | -| [var] ---> [symbol] -+-> [:=] -+-> [expression] -+-> [;] | -| | | | | -| | +-----> [{}] -->--+ | -| | | | -| +------------->-------------+ | -| | -+-------------------------------------------------------------+ - - -(10) - Vector Definition Statement -+-------------------------------------------------------------+ -| | -| [var] ---> [symbol] ---> [[] ---> [constant] ---> []] --+ | -| | | -| +---------------------------<---------------------------+ | -| | | -| | +--------->---------+ | -| | | | | -| +--> [:=] ---> [{] -+-+-> [expression] -+-> [}] ---> [;] | -| | | | -| +--<--- [,] <-----+ | -| | -+-------------------------------------------------------------+ - - -(11) - String Definition Statement -+-------------------------------------------------------------+ -| | -| [var] --> [symbol] --> [:=] --> [str-expression] ---> [;] | -| | -+-------------------------------------------------------------+ - - -(12) - Range Statement -+-------------------------------------------------------------+ -| | -| +-------->--------+ | -| | | | -| [[] -+-> [expression] -+-> [:] -+-> [expression] -+--> []] | -| | | | -| +-------->--------+ | -| | -+-------------------------------------------------------------+ - - -(13) - Return Statement -+-------------------------------------------------------------+ -| | -| [return] ---> [[] -+-> [expression] -+-> []] ---> [;] | -| | | | -| +--<--- [,] <-----+ | -| | -+-------------------------------------------------------------+