gctl/example/autodiff_ex.cpp

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2024-09-10 15:45:07 +08:00
/********************************************************
*
*
*
*
*
*
* Geophysical Computational Tools & Library (GCTL)
*
* Copyright (c) 2023 Yi Zhang (yizhang-geo@zju.edu.cn)
*
* GCTL is distributed under a dual licensing scheme. You can redistribute
* it and/or modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation, either version 2
* of the License, or (at your option) any later version. You should have
* received a copy of the GNU Lesser General Public License along with this
* program. If not, see <http://www.gnu.org/licenses/>.
*
* If the terms and conditions of the LGPL v.2. would prevent you from using
* the GCTL, please consider the option to obtain a commercial license for a
* fee. These licenses are offered by the GCTL's original author. As a rule,
* licenses are provided "as-is", unlimited in time for a one time fee. Please
* send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget
* to include some description of your company and the realm of its activities.
* Also add information on how to contact you by electronic and paper mail.
******************************************************/
#include "../lib/algorithm.h"
using namespace gctl;
affvar func(const affvar &x1, const affvar &x2)
{
// y(x1, x2) = x1*x2 + 2*cos(x1) - 3*sin(x2)
// dy/dx1 = x2 - 2*sin(x1)
// dy/dx2 = x1 - 3*cos(x2)
affvar y = x1*x2 + 2.0*cos(x1) - 3.0*sin(x2);
return y;
}
int main(int argc, char *argv[])
{
affvar x1 = 2.0;
affvar x2 = 3.0;
affvar y;
y.var({&x1, &x2}, x1);
y = func(x1, x2);
std::cout << y.val() << " " << y.der() << "\n";
y.var({&x1, &x2}, x2);
y = func(x1, x2);
std::cout << y.val() << " " << y.der() << "\n";
return 0;
}