add test for autodiff about forwarding func

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2024-04-24 15:22:10 +08:00
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// NOTE: 多变量函数的导数
// C++ includes
#include <iostream>
// autodiff include
#include <autodiff/forward/dual.hpp>
using namespace autodiff;
// The multi-variable function for which derivatives are needed
dual f(dual x, dual y, dual z)
{
return 1 + x + y + z + x*y + y*z + x*z + x*y*z + exp(x/y + y/z);
}
int main()
{
dual x = 1.0;
dual y = 2.0;
dual z = 3.0;
dual u = f(x, y, z);
double dudx = derivative(f, wrt(x), at(x, y, z));
double dudy = derivative(f, wrt(y), at(x, y, z));
double dudz = derivative(f, wrt(z), at(x, y, z));
std::cout << "u = " << u << std::endl; // print the evaluated output u = f(x, y, z)
std::cout << "du/dx = " << dudx << std::endl; // print the evaluated derivative du/dx
std::cout << "du/dy = " << dudy << std::endl; // print the evaluated derivative du/dy
std::cout << "du/dz = " << dudz << std::endl; // print the evaluated derivative du/dz
}