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src/core/autodiff_ex.cpp

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+/********************************************************
+ *  ██████╗  ██████╗████████╗██╗
+ * ██╔════╝ ██╔════╝╚══██╔══╝██║
+ * ██║  ███╗██║        ██║   ██║
+ * ██║   ██║██║        ██║   ██║
+ * ╚██████╔╝╚██████╗   ██║   ███████╗
+ *  ╚═════╝  ╚═════╝   ╚═╝   ╚══════╝
+ * 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;
+}