67 lines
1.4 KiB
C++
67 lines
1.4 KiB
C++
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#include "../AutomaticDifferentiationVector.hpp"
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#include <iostream>
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#include <iomanip>
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using std::cout;
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using std::endl;
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using std::setw;
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#define PRINT_VAR(x) std::cout << #x << "\t= " << std::setprecision(16) << (x) << std::endl
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#define PRINT_DUAL(x) std::cout << #x << "\t= " << std::fixed << std::setprecision(4) << std::setw(10) << (x).a << ", " << std::setw(10) << (x).b << std::endl
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template<typename T>
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T f(const T & x)
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{
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return 1 + x + x*x + 1/x + log(x);
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}
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template<typename T>
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T df(const T & x)
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{
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return 2*x + 1 + 1.0/x - 1/pow(x, 2);
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}
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template<typename T>
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T ddf(const T & x)
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{
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return 2 - 1/pow(x, 2) + 2/pow(x, 3);
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}
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int main()
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{
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double xdbl = 1.5;
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{
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cout << "Analytical\n";
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cout << "f(x) = " << f(xdbl) << endl;
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cout << "df(x)/dt = " << df(xdbl) << endl;
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cout << "d²f(x)/dt = " << ddf(xdbl) << endl;
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}
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// 1st derivative forward
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{
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using Fd = DualVector<double,1>;
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Fd x = xdbl;
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x.diff(0);
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Fd y = f(x);
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cout << "\nForward\n";
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cout << "f(x) = " << y.a << endl;
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cout << "df(x)/dt = " << y.d(0) << endl;
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}
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// 2nd derivative forward
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/*
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{
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using Fdd = DualVector<DualVector<double,2>,2>;
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Fdd x(xdbl);
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x.diff(0);
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x.a.diff(1);
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Fdd y = f(x);
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cout << "\nForward 2nd der\n";
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cout << "f(x) = " << y.a.a << endl;
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cout << "df(x)/dt = " << y.d(0).a << endl;
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cout << "d²f(x)/dt = " << y.d(0).d(1) << endl;
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}//*/
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return 0;
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}
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