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Diffstat (limited to 'ml/dlib/dlib/test/numerical_integration.cpp')
| -rw-r--r-- | ml/dlib/dlib/test/numerical_integration.cpp | 228 |
1 files changed, 0 insertions, 228 deletions
diff --git a/ml/dlib/dlib/test/numerical_integration.cpp b/ml/dlib/dlib/test/numerical_integration.cpp deleted file mode 100644 index d0e247623..000000000 --- a/ml/dlib/dlib/test/numerical_integration.cpp +++ /dev/null @@ -1,228 +0,0 @@ -// Copyright (C) 2013 Steve Taylor (steve98654@gmail.com) -// License: Boost Software License See LICENSE.txt for the full license. - -// This function test battery is given in: -// -// Test functions taken from Pedro Gonnet's dissertation at ETH: -// Adaptive Quadrature Re-Revisited -// http://e-collection.library.ethz.ch/eserv/eth:65/eth-65-02.pdf - -#include <math.h> -#include <dlib/matrix.h> -#include <dlib/numeric_constants.h> -#include <dlib/numerical_integration.h> -#include "tester.h" - -namespace -{ - using namespace test; - using namespace dlib; - using namespace std; - - logger dlog("test.numerical_integration"); - - class numerical_integration_tester : public tester - { - public: - numerical_integration_tester ( - ) : - tester ("test_numerical_integration", - "Runs tests on the numerical integration function.", - 0 - ) - {} - - void perform_test() - { - - dlog <<dlib::LINFO << "Testing integrate_function_adapt_simpson"; - - matrix<double,23,1> m; - double tol = 1e-10; - double eps = 1e-8; - - m(0) = integrate_function_adapt_simp(&gg1, 0.0, 1.0, tol); - m(1) = integrate_function_adapt_simp(&gg2, 0.0, 1.0, tol); - m(2) = integrate_function_adapt_simp(&gg3, 0.0, 1.0, tol); - m(3) = integrate_function_adapt_simp(&gg4, 0.0, 1.0, tol); - m(4) = integrate_function_adapt_simp(&gg5, -1.0, 1.0, tol); - m(5) = integrate_function_adapt_simp(&gg6, 0.0, 1.0, tol); - m(6) = integrate_function_adapt_simp(&gg7, 0.0, 1.0, tol); - m(7) = integrate_function_adapt_simp(&gg8, 0.0, 1.0, tol); - m(8) = integrate_function_adapt_simp(&gg9, 0.0, 1.0, tol); - m(9) = integrate_function_adapt_simp(&gg10, 0.0, 1.0, tol); - m(10) = integrate_function_adapt_simp(&gg11, 0.0, 1.0, tol); - m(11) = integrate_function_adapt_simp(&gg12, 1e-6, 1.0, tol); - m(12) = integrate_function_adapt_simp(&gg13, 0.0, 10.0, tol); - m(13) = integrate_function_adapt_simp(&gg14, 0.0, 10.0, tol); - m(14) = integrate_function_adapt_simp(&gg15, 0.0, 10.0, tol); - m(15) = integrate_function_adapt_simp(&gg16, 0.01, 1.0, tol); - m(16) = integrate_function_adapt_simp(&gg17, 0.0, pi, tol); - m(17) = integrate_function_adapt_simp(&gg18, 0.0, 1.0, tol); - m(18) = integrate_function_adapt_simp(&gg19, -1.0, 1.0, tol); - m(19) = integrate_function_adapt_simp(&gg20, 0.0, 1.0, tol); - m(20) = integrate_function_adapt_simp(&gg21, 0.0, 1.0, tol); - m(21) = integrate_function_adapt_simp(&gg22, 0.0, 5.0, tol); - - // Here we compare the approximated integrals against - // highly accurate approximations generated either from - // the exact integral values or Mathematica's NIntegrate - // function using a working precision of 20. - - DLIB_TEST(abs(m(0) - 1.7182818284590452354) < 1e-11); - DLIB_TEST(abs(m(1) - 0.7000000000000000000) < eps); - DLIB_TEST(abs(m(2) - 0.6666666666666666667) < eps); - DLIB_TEST(abs(m(3) - 0.2397141133444008336) < eps); - DLIB_TEST(abs(m(4) - 1.5822329637296729331) < 1e-11); - DLIB_TEST(abs(m(5) - 0.4000000000000000000) < eps); - DLIB_TEST(abs(m(6) - 2.0000000000000000000) < 1e-4); - DLIB_TEST(abs(m(7) - 0.8669729873399110375) < eps); - DLIB_TEST(abs(m(8) - 1.1547005383792515290) < eps); - DLIB_TEST(abs(m(9) - 0.6931471805599453094) < eps); - DLIB_TEST(abs(m(10) - 0.3798854930417224753) < eps); - DLIB_TEST(abs(m(11) - 0.7775036341124982763) < eps); - DLIB_TEST(abs(m(12) - 0.5000000000000000000) < eps); - DLIB_TEST(abs(m(13) - 1.0000000000000000000) < eps); - DLIB_TEST(abs(m(14) - 0.4993633810764567446) < eps); - DLIB_TEST(abs(m(15) - 0.1121393035410217 ) < eps); - DLIB_TEST(abs(m(16) - 0.2910187828600526985) < eps); - DLIB_TEST(abs(m(17) + 0.4342944819032518276) < 1e-5); - DLIB_TEST(abs(m(18) - 1.56439644406905 ) < eps); - DLIB_TEST(abs(m(19) - 0.1634949430186372261) < eps); - DLIB_TEST(abs(m(20) - 0.0134924856494677726) < eps); - } - - static double gg1(double x) - { - return pow(e,x); - } - - static double gg2(double x) - { - if(x > 0.3) - { - return 1.0; - } - else - { - return 0; - } - } - - static double gg3(double x) - { - return pow(x,0.5); - } - - static double gg4(double x) - { - return 23.0/25.0*cosh(x)-cos(x); - } - - static double gg5(double x) - { - return 1/(pow(x,4) + pow(x,2) + 0.9); - } - - static double gg6(double x) - { - return pow(x,1.5); - } - - static double gg7(double x) - { - return pow(x,-0.5); - } - - static double gg8(double x) - { - return 1/(1 + pow(x,4)); - } - - static double gg9(double x) - { - return 2/(2 + sin(10*pi*x)); - } - - static double gg10(double x) - { - return 1/(1+x); - } - - static double gg11(double x) - { - return 1.0/(1 + pow(e,x)); - } - - static double gg12(double x) - { - return x/(pow(e,x)-1.0); - } - - static double gg13(double x) - { - return sqrt(50.0)*pow(e,-50.0*pi*x*x); - } - - static double gg14(double x) - { - return 25.0*pow(e,-25.0*x); - } - - static double gg15(double x) - { - return 50.0/(pi*(2500.0*x*x+1)); - } - - static double gg16(double x) - { - return 50.0*pow((sin(50.0*pi*x)/(50.0*pi*x)),2); - } - - static double gg17(double x) - { - return cos(cos(x)+3*sin(x)+2*cos(2*x)+3*cos(3*x)); - } - - static double gg18(double x) - { - return log10(x); - } - - static double gg19(double x) - { - return 1/(1.005+x*x); - } - - static double gg20(double x) - { - return 1/cosh(20.0*(x-1.0/5.0)) + 1/cosh(400.0*(x-2.0/5.0)) - + 1/cosh(8000.0*(x-3.0/5.0)); - } - - static double gg21(double x) - { - return 1.0/(1.0+(230.0*x-30.0)*(230.0*x-30.0)); - } - - static double gg22(double x) - { - if(x < 1) - { - return (x + 1.0); - } - else if(x >= 1 && x <= 3) - { - return (3.0 - x); - } - else - { - return 2.0; - } - } - - }; - - numerical_integration_tester a; -} - |