1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <cstdlib> 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <cerrno> 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <ctime> 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <iostream> 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <fstream> 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <string> 177faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#include <sstream> 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <vector> 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <typeinfo> 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <limits> 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <algorithm> 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <sstream> 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <complex> 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <deque> 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <queue> 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define min(A,B) please_protect_your_min_with_parentheses 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define max(A,B) please_protect_your_max_with_parentheses 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define FORBIDDEN_IDENTIFIER (this_identifier_is_forbidden_to_avoid_clashes) this_identifier_is_forbidden_to_avoid_clashes 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// B0 is defined in POSIX header termios.h 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define B0 FORBIDDEN_IDENTIFIER 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 347faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 357faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// shuts down ICC's remark #593: variable "XXX" was set but never used 367faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#define TEST_SET_BUT_UNUSED_VARIABLE(X) X = X + 0; 377faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// the following file is automatically generated by cmake 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include "split_test_helper.h" 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifdef NDEBUG 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#undef NDEBUG 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 457faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// On windows CE, NDEBUG is automatically defined <assert.h> if NDEBUG is not defined. 467faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#ifndef DEBUG 477faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#define DEBUG 487faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#endif 497faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// bounds integer values for AltiVec 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifdef __ALTIVEC__ 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_MAKING_DOCS 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_TEST_FUNC 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#error EIGEN_TEST_FUNC must be defined 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define DEFAULT_REPEAT 10 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static std::vector<std::string> g_test_stack; 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static int g_repeat; 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static unsigned int g_seed; 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static bool g_has_set_repeat, g_has_set_seed; 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EI_PP_MAKE_STRING2(S) #S 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EI_PP_MAKE_STRING(S) EI_PP_MAKE_STRING2(S) 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_DEFAULT_IO_FORMAT IOFormat(4, 0, " ", "\n", "", "", "", "") 73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_NO_ASSERTION_CHECKING 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath namespace Eigen 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static const bool should_raise_an_assert = false; 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // Used to avoid to raise two exceptions at a time in which 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // case the exception is not properly caught. 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // This may happen when a second exceptions is triggered in a destructor. 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static bool no_more_assert = false; 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static bool report_on_cerr_on_assert_failure = true; 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath struct eigen_assert_exception 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert_exception(void) {} 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ~eigen_assert_exception() { Eigen::no_more_assert = false; } 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // If EIGEN_DEBUG_ASSERTS is defined and if no assertion is triggered while 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // one should have been, then the list of excecuted assertions is printed out. 94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // 95c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // EIGEN_DEBUG_ASSERTS is not enabled by default as it 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // significantly increases the compilation time 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // and might even introduce side effects that would hide 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // some memory errors. 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #ifdef EIGEN_DEBUG_ASSERTS 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath namespace Eigen 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath namespace internal 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static bool push_assert = false; 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static std::vector<std::string> eigen_assert_list; 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define eigen_assert(a) \ 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if( (!(a)) && (!no_more_assert) ) \ 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { \ 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(report_on_cerr_on_assert_failure) \ 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cerr << #a << " " __FILE__ << "(" << __LINE__ << ")\n"; \ 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::no_more_assert = true; \ 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath throw Eigen::eigen_assert_exception(); \ 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } \ 117c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath else if (Eigen::internal::push_assert) \ 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { \ 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert_list.push_back(std::string(EI_PP_MAKE_STRING(__FILE__) " (" EI_PP_MAKE_STRING(__LINE__) ") : " #a) ); \ 120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define VERIFY_RAISES_ASSERT(a) \ 123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { \ 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::no_more_assert = false; \ 125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::eigen_assert_list.clear(); \ 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::internal::push_assert = true; \ 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::report_on_cerr_on_assert_failure = false; \ 128c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath try { \ 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath a; \ 130c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cerr << "One of the following asserts should have been triggered:\n"; \ 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath for (uint ai=0 ; ai<eigen_assert_list.size() ; ++ai) \ 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cerr << " " << eigen_assert_list[ai] << "\n"; \ 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY(Eigen::should_raise_an_assert && # a); \ 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } catch (Eigen::eigen_assert_exception) { \ 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::internal::push_assert = false; VERIFY(true); \ 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } \ 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::report_on_cerr_on_assert_failure = true; \ 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::internal::push_assert = false; \ 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #else // EIGEN_DEBUG_ASSERTS 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // see bug 89. The copy_bool here is working around a bug in gcc <= 4.3 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define eigen_assert(a) \ 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if( (!Eigen::internal::copy_bool(a)) && (!no_more_assert) )\ 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { \ 146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::no_more_assert = true; \ 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(report_on_cerr_on_assert_failure) \ 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_plain_assert(a); \ 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath else \ 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath throw Eigen::eigen_assert_exception(); \ 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define VERIFY_RAISES_ASSERT(a) { \ 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::no_more_assert = false; \ 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::report_on_cerr_on_assert_failure = false; \ 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath try { \ 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath a; \ 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY(Eigen::should_raise_an_assert && # a); \ 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } \ 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath catch (Eigen::eigen_assert_exception&) { VERIFY(true); } \ 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Eigen::report_on_cerr_on_assert_failure = true; \ 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #endif // EIGEN_DEBUG_ASSERTS 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define EIGEN_USE_CUSTOM_ASSERT 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#else // EIGEN_NO_ASSERTION_CHECKING 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define VERIFY_RAISES_ASSERT(a) {} 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif // EIGEN_NO_ASSERTION_CHECKING 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_INTERNAL_DEBUGGING 175c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <Eigen/QR> // required for createRandomPIMatrixOfRank 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 1777faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline void verify_impl(bool condition, const char *testname, const char *file, int line, const char *condition_as_string) 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if (!condition) 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 1817faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez std::cerr << "Test " << testname << " failed in " << file << " (" << line << ")" 1827faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez << std::endl << " " << condition_as_string << std::endl; 1837faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez std::cerr << "Stack:\n"; 1847faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez const int test_stack_size = static_cast<int>(Eigen::g_test_stack.size()); 1857faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez for(int i=test_stack_size-1; i>=0; --i) 1867faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez std::cerr << " - " << Eigen::g_test_stack[i] << "\n"; 1877faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez std::cerr << "\n"; 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath abort(); 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY(a) ::verify_impl(a, g_test_stack.back().c_str(), __FILE__, __LINE__, EI_PP_MAKE_STRING(a)) 193c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_EQUAL(a, b) VERIFY(test_is_equal(a, b)) 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_APPROX(a, b) VERIFY(test_isApprox(a, b)) 196c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_NOT_APPROX(a, b) VERIFY(!test_isApprox(a, b)) 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_MUCH_SMALLER_THAN(a, b) VERIFY(test_isMuchSmallerThan(a, b)) 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_NOT_MUCH_SMALLER_THAN(a, b) VERIFY(!test_isMuchSmallerThan(a, b)) 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_APPROX_OR_LESS_THAN(a, b) VERIFY(test_isApproxOrLessThan(a, b)) 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_NOT_APPROX_OR_LESS_THAN(a, b) VERIFY(!test_isApproxOrLessThan(a, b)) 201c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_IS_UNITARY(a) VERIFY(test_isUnitary(a)) 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 204c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define CALL_SUBTEST(FUNC) do { \ 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_test_stack.push_back(EI_PP_MAKE_STRING(FUNC)); \ 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath FUNC; \ 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_test_stack.pop_back(); \ 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } while (0) 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen { 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> inline typename NumTraits<T>::Real test_precision() { return NumTraits<T>::dummy_precision(); } 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> inline float test_precision<float>() { return 1e-3f; } 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> inline double test_precision<double>() { return 1e-6; } 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> inline float test_precision<std::complex<float> >() { return test_precision<float>(); } 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> inline double test_precision<std::complex<double> >() { return test_precision<double>(); } 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> inline long double test_precision<long double>() { return 1e-6; } 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const int& a, const int& b) 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApprox(a, b, test_precision<int>()); } 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const int& a, const int& b) 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<int>()); } 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApproxOrLessThan(const int& a, const int& b) 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApproxOrLessThan(a, b, test_precision<int>()); } 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const float& a, const float& b) 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApprox(a, b, test_precision<float>()); } 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const float& a, const float& b) 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<float>()); } 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApproxOrLessThan(const float& a, const float& b) 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApproxOrLessThan(a, b, test_precision<float>()); } 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const double& a, const double& b) 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApprox(a, b, test_precision<double>()); } 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const double& a, const double& b) 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<double>()); } 238c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApproxOrLessThan(const double& a, const double& b) 239c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApproxOrLessThan(a, b, test_precision<double>()); } 240c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 241c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const std::complex<float>& a, const std::complex<float>& b) 242c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApprox(a, b, test_precision<std::complex<float> >()); } 243c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const std::complex<float>& a, const std::complex<float>& b) 244c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<std::complex<float> >()); } 245c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 246c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const std::complex<double>& a, const std::complex<double>& b) 247c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApprox(a, b, test_precision<std::complex<double> >()); } 248c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const std::complex<double>& a, const std::complex<double>& b) 249c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<std::complex<double> >()); } 250c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 251c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const long double& a, const long double& b) 252c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 253c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool ret = internal::isApprox(a, b, test_precision<long double>()); 254c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if (!ret) std::cerr 255c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << std::endl << " actual = " << a 256c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << std::endl << " expected = " << b << std::endl << std::endl; 257c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return ret; 258c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 259c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 260c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const long double& a, const long double& b) 261c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isMuchSmallerThan(a, b, test_precision<long double>()); } 262c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApproxOrLessThan(const long double& a, const long double& b) 263c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return internal::isApproxOrLessThan(a, b, test_precision<long double>()); } 264c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 265c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Type1, typename Type2> 266c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApprox(const Type1& a, const Type2& b) 267c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 268c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return a.isApprox(b, test_precision<typename Type1::Scalar>()); 269c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 270c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 271c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// The idea behind this function is to compare the two scalars a and b where 272c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// the scalar ref is a hint about the expected order of magnitude of a and b. 2737faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// WARNING: the scalar a and b must be positive 274c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Therefore, if for some reason a and b are very small compared to ref, 275c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// we won't issue a false negative. 276c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This test could be: abs(a-b) <= eps * ref 277c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// However, it seems that simply comparing a+ref and b+ref is more sensitive to true error. 278c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Scalar,typename ScalarRef> 279c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isApproxWithRef(const Scalar& a, const Scalar& b, const ScalarRef& ref) 280c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 281c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return test_isApprox(a+ref, b+ref); 282c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 283c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 284c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived1, typename Derived2> 285c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const MatrixBase<Derived1>& m1, 286c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const MatrixBase<Derived2>& m2) 287c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 288c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m1.isMuchSmallerThan(m2, test_precision<typename internal::traits<Derived1>::Scalar>()); 289c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 290c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 291c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 292c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isMuchSmallerThan(const MatrixBase<Derived>& m, 293c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const typename NumTraits<typename internal::traits<Derived>::Scalar>::Real& s) 294c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 295c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m.isMuchSmallerThan(s, test_precision<typename internal::traits<Derived>::Scalar>()); 296c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 297c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 298c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 299c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline bool test_isUnitary(const MatrixBase<Derived>& m) 300c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 301c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m.isUnitary(test_precision<typename internal::traits<Derived>::Scalar>()); 302c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 303c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 3047faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// Forward declaration to avoid ICC warning 3057faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename T, typename U> 3067faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezbool test_is_equal(const T& actual, const U& expected); 3077faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 308c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, typename U> 309c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathbool test_is_equal(const T& actual, const U& expected) 310c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 311c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if (actual==expected) 312c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return true; 313c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // false: 314c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cerr 315c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << std::endl << " actual = " << actual 316c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << std::endl << " expected = " << expected << std::endl << std::endl; 317c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return false; 318c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 319c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 320c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** Creates a random Partial Isometry matrix of given rank. 321c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 322c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * A partial isometry is a matrix all of whose singular values are either 0 or 1. 323c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * This is very useful to test rank-revealing algorithms. 324c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 3257faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// Forward declaration to avoid ICC warning 3267faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename MatrixType> 3277faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezvoid createRandomPIMatrixOfRank(typename MatrixType::Index desired_rank, typename MatrixType::Index rows, typename MatrixType::Index cols, MatrixType& m); 328c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename MatrixType> 329c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathvoid createRandomPIMatrixOfRank(typename MatrixType::Index desired_rank, typename MatrixType::Index rows, typename MatrixType::Index cols, MatrixType& m) 330c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 331c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::traits<MatrixType>::Index Index; 332c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::traits<MatrixType>::Scalar Scalar; 333c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime }; 334c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 335c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, Dynamic, 1> VectorType; 336c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, Rows, Rows> MatrixAType; 337c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, Cols, Cols> MatrixBType; 338c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 339c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(desired_rank == 0) 340c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 341c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath m.setZero(rows,cols); 342c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return; 343c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 344c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 345c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(desired_rank == 1) 346c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 347c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // here we normalize the vectors to get a partial isometry 348c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath m = VectorType::Random(rows).normalized() * VectorType::Random(cols).normalized().transpose(); 349c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return; 350c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 351c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 352c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixAType a = MatrixAType::Random(rows,rows); 353c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixType d = MatrixType::Identity(rows,cols); 354c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixBType b = MatrixBType::Random(cols,cols); 355c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 356c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // set the diagonal such that only desired_rank non-zero entries reamain 357c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Index diag_size = (std::min)(d.rows(),d.cols()); 358c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(diag_size != desired_rank) 359c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath d.diagonal().segment(desired_rank, diag_size-desired_rank) = VectorType::Zero(diag_size-desired_rank); 360c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 361c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath HouseholderQR<MatrixAType> qra(a); 362c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath HouseholderQR<MatrixBType> qrb(b); 363c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath m = qra.householderQ() * d * qrb.householderQ(); 364c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 365c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 3667faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// Forward declaration to avoid ICC warning 3677faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename PermutationVectorType> 3687faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezvoid randomPermutationVector(PermutationVectorType& v, typename PermutationVectorType::Index size); 369c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename PermutationVectorType> 370c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathvoid randomPermutationVector(PermutationVectorType& v, typename PermutationVectorType::Index size) 371c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 372c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename PermutationVectorType::Index Index; 373c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename PermutationVectorType::Scalar Scalar; 374c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath v.resize(size); 375c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath for(Index i = 0; i < size; ++i) v(i) = Scalar(i); 376c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(size == 1) return; 377c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath for(Index n = 0; n < 3 * size; ++n) 378c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 379c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Index i = internal::random<Index>(0, size-1); 380c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Index j; 381c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath do j = internal::random<Index>(0, size-1); while(j==i); 382c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::swap(v(i), v(j)); 383c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 384c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 385c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 386c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} // end namespace Eigen 387c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 388c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct GetDifferentType; 389c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 390c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> struct GetDifferentType<float> { typedef double type; }; 391c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> struct GetDifferentType<double> { typedef float type; }; 392c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct GetDifferentType<std::complex<T> > 393c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ typedef std::complex<typename GetDifferentType<T>::type> type; }; 394c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 3957faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// Forward declaration to avoid ICC warning 3967faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename T> std::string type_name(); 3977faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename T> std::string type_name() { return "other"; } 3987faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<> std::string type_name<float>() { return "float"; } 3997faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<> std::string type_name<double>() { return "double"; } 4007faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<> std::string type_name<int>() { return "int"; } 4017faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<> std::string type_name<std::complex<float> >() { return "complex<float>"; } 402c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<> std::string type_name<std::complex<double> >() { return "complex<double>"; } 4037faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<> std::string type_name<std::complex<int> >() { return "complex<int>"; } 404c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 405c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// forward declaration of the main test function 406c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathvoid EIGEN_CAT(test_,EIGEN_TEST_FUNC)(); 407c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 408c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathusing namespace Eigen; 409c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 4107faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline void set_repeat_from_string(const char *str) 411c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 412c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath errno = 0; 413c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_repeat = int(strtoul(str, 0, 10)); 414c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(errno || g_repeat <= 0) 415c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 416c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Invalid repeat value " << str << std::endl; 417c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath exit(EXIT_FAILURE); 418c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 419c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_has_set_repeat = true; 420c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 421c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 4227faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline void set_seed_from_string(const char *str) 423c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 424c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath errno = 0; 4257faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez g_seed = int(strtoul(str, 0, 10)); 426c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(errno || g_seed == 0) 427c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 428c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Invalid seed value " << str << std::endl; 429c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath exit(EXIT_FAILURE); 430c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 431c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_has_set_seed = true; 432c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 433c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 434c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathint main(int argc, char *argv[]) 435c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 436c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_has_set_repeat = false; 437c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath g_has_set_seed = false; 438c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool need_help = false; 439c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 440c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath for(int i = 1; i < argc; i++) 441c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 442c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(argv[i][0] == 'r') 443c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 444c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(g_has_set_repeat) 445c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 446c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl; 447c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return 1; 448c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 449c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath set_repeat_from_string(argv[i]+1); 450c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 451c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath else if(argv[i][0] == 's') 452c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 453c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(g_has_set_seed) 454c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 455c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl; 456c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return 1; 457c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 458c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath set_seed_from_string(argv[i]+1); 459c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 460c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath else 461c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 462c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath need_help = true; 463c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 464c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 465c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 466c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(need_help) 467c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 468c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "This test application takes the following optional arguments:" << std::endl; 469c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << " rN Repeat each test N times (default: " << DEFAULT_REPEAT << ")" << std::endl; 470c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << " sN Use N as seed for random numbers (default: based on current time)" << std::endl; 471c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << std::endl; 472c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "If defined, the environment variables EIGEN_REPEAT and EIGEN_SEED" << std::endl; 473c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "will be used as default values for these parameters." << std::endl; 474c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return 1; 475c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 476c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 477c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath char *env_EIGEN_REPEAT = getenv("EIGEN_REPEAT"); 478c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(!g_has_set_repeat && env_EIGEN_REPEAT) 479c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath set_repeat_from_string(env_EIGEN_REPEAT); 480c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath char *env_EIGEN_SEED = getenv("EIGEN_SEED"); 481c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(!g_has_set_seed && env_EIGEN_SEED) 482c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath set_seed_from_string(env_EIGEN_SEED); 483c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 484c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(!g_has_set_seed) g_seed = (unsigned int) time(NULL); 485c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath if(!g_has_set_repeat) g_repeat = DEFAULT_REPEAT; 486c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 487c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Initializing random number generator with seed " << g_seed << std::endl; 4887faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez std::stringstream ss; 4897faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez ss << "Seed: " << g_seed; 4907faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez g_test_stack.push_back(ss.str()); 491c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath srand(g_seed); 492c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath std::cout << "Repeating each test " << g_repeat << " times" << std::endl; 493c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 4947faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez Eigen::g_test_stack.push_back(std::string(EI_PP_MAKE_STRING(EIGEN_TEST_FUNC))); 495c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 496c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_CAT(test_,EIGEN_TEST_FUNC)(); 497c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return 0; 498c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 4997faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 5007faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez// These warning are disabled here such that they are still ON when parsing Eigen's header files. 5017faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#if defined __INTEL_COMPILER 5027faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // remark #383: value copied to temporary, reference to temporary used 5037faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // -> this warning is raised even for legal usage as: g_test_stack.push_back("foo"); where g_test_stack is a std::vector<std::string> 5047faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // remark #1418: external function definition with no prior declaration 5057faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // -> this warning is raised for all our test functions. Declaring them static would fix the issue. 5067faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // warning #279: controlling expression is constant 5077faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez // remark #1572: floating-point equality and inequality comparisons are unreliable 5087faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez #pragma warning disable 279 383 1418 1572 5097faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez#endif 510