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Diffstat (limited to 'eigen/unsupported/test/NumericalDiff.cpp')
-rw-r--r-- | eigen/unsupported/test/NumericalDiff.cpp | 114 |
1 files changed, 114 insertions, 0 deletions
diff --git a/eigen/unsupported/test/NumericalDiff.cpp b/eigen/unsupported/test/NumericalDiff.cpp new file mode 100644 index 0000000..27d8880 --- /dev/null +++ b/eigen/unsupported/test/NumericalDiff.cpp @@ -0,0 +1,114 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2009 Thomas Capricelli <orzel@freehackers.org> + +#include <stdio.h> + +#include "main.h" +#include <unsupported/Eigen/NumericalDiff> + +// Generic functor +template<typename _Scalar, int NX=Dynamic, int NY=Dynamic> +struct Functor +{ + typedef _Scalar Scalar; + enum { + InputsAtCompileTime = NX, + ValuesAtCompileTime = NY + }; + typedef Matrix<Scalar,InputsAtCompileTime,1> InputType; + typedef Matrix<Scalar,ValuesAtCompileTime,1> ValueType; + typedef Matrix<Scalar,ValuesAtCompileTime,InputsAtCompileTime> JacobianType; + + int m_inputs, m_values; + + Functor() : m_inputs(InputsAtCompileTime), m_values(ValuesAtCompileTime) {} + Functor(int inputs, int values) : m_inputs(inputs), m_values(values) {} + + int inputs() const { return m_inputs; } + int values() const { return m_values; } + +}; + +struct my_functor : Functor<double> +{ + my_functor(void): Functor<double>(3,15) {} + int operator()(const VectorXd &x, VectorXd &fvec) const + { + double tmp1, tmp2, tmp3; + double y[15] = {1.4e-1, 1.8e-1, 2.2e-1, 2.5e-1, 2.9e-1, 3.2e-1, 3.5e-1, + 3.9e-1, 3.7e-1, 5.8e-1, 7.3e-1, 9.6e-1, 1.34, 2.1, 4.39}; + + for (int i = 0; i < values(); i++) + { + tmp1 = i+1; + tmp2 = 16 - i - 1; + tmp3 = (i>=8)? tmp2 : tmp1; + fvec[i] = y[i] - (x[0] + tmp1/(x[1]*tmp2 + x[2]*tmp3)); + } + return 0; + } + + int actual_df(const VectorXd &x, MatrixXd &fjac) const + { + double tmp1, tmp2, tmp3, tmp4; + for (int i = 0; i < values(); i++) + { + tmp1 = i+1; + tmp2 = 16 - i - 1; + tmp3 = (i>=8)? tmp2 : tmp1; + tmp4 = (x[1]*tmp2 + x[2]*tmp3); tmp4 = tmp4*tmp4; + fjac(i,0) = -1; + fjac(i,1) = tmp1*tmp2/tmp4; + fjac(i,2) = tmp1*tmp3/tmp4; + } + return 0; + } +}; + +void test_forward() +{ + VectorXd x(3); + MatrixXd jac(15,3); + MatrixXd actual_jac(15,3); + my_functor functor; + + x << 0.082, 1.13, 2.35; + + // real one + functor.actual_df(x, actual_jac); +// std::cout << actual_jac << std::endl << std::endl; + + // using NumericalDiff + NumericalDiff<my_functor> numDiff(functor); + numDiff.df(x, jac); +// std::cout << jac << std::endl; + + VERIFY_IS_APPROX(jac, actual_jac); +} + +void test_central() +{ + VectorXd x(3); + MatrixXd jac(15,3); + MatrixXd actual_jac(15,3); + my_functor functor; + + x << 0.082, 1.13, 2.35; + + // real one + functor.actual_df(x, actual_jac); + + // using NumericalDiff + NumericalDiff<my_functor,Central> numDiff(functor); + numDiff.df(x, jac); + + VERIFY_IS_APPROX(jac, actual_jac); +} + +void test_NumericalDiff() +{ + CALL_SUBTEST(test_forward()); + CALL_SUBTEST(test_central()); +} |