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				| // This file is part of Eigen, a lightweight C++ template library | |
| // for linear algebra. | |
| // | |
| // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> | |
| // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> | |
| // | |
| // This Source Code Form is subject to the terms of the Mozilla | |
| // Public License v. 2.0. If a copy of the MPL was not distributed | |
| // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | |
|  | |
| #include <cstdlib> | |
| #include <cerrno> | |
| #include <ctime> | |
| #include <iostream> | |
| #include <fstream> | |
| #include <string> | |
| #include <sstream> | |
| #include <vector> | |
| #include <typeinfo> | |
|  | |
| // The following includes of STL headers have to be done _before_ the | |
| // definition of macros min() and max().  The reason is that many STL | |
| // implementations will not work properly as the min and max symbols collide | |
| // with the STL functions std:min() and std::max().  The STL headers may check | |
| // for the macro definition of min/max and issue a warning or undefine the | |
| // macros. | |
| // | |
| // Still, Windows defines min() and max() in windef.h as part of the regular | |
| // Windows system interfaces and many other Windows APIs depend on these | |
| // macros being available.  To prevent the macro expansion of min/max and to | |
| // make Eigen compatible with the Windows environment all function calls of | |
| // std::min() and std::max() have to be written with parenthesis around the | |
| // function name. | |
| // | |
| // All STL headers used by Eigen should be included here.  Because main.h is | |
| // included before any Eigen header and because the STL headers are guarded | |
| // against multiple inclusions, no STL header will see our own min/max macro | |
| // definitions. | |
| #include <limits> | |
| #include <algorithm> | |
| #include <complex> | |
| #include <deque> | |
| #include <queue> | |
| #include <list> | |
| #if __cplusplus >= 201103L | |
| #include <random> | |
| #ifdef STORMEIGEN_USE_THREADS | |
| #include <future> | |
| #endif | |
| #endif | |
|  | |
| // To test that all calls from Eigen code to std::min() and std::max() are | |
| // protected by parenthesis against macro expansion, the min()/max() macros | |
| // are defined here and any not-parenthesized min/max call will cause a | |
| // compiler error. | |
| #define min(A,B) please_protect_your_min_with_parentheses | |
| #define max(A,B) please_protect_your_max_with_parentheses | |
| #define isnan(X) please_protect_your_isnan_with_parentheses | |
| #define isinf(X) please_protect_your_isinf_with_parentheses | |
| #define isfinite(X) please_protect_your_isfinite_with_parentheses | |
|  | |
| #define FORBIDDEN_IDENTIFIER (this_identifier_is_forbidden_to_avoid_clashes) this_identifier_is_forbidden_to_avoid_clashes | |
| // B0 is defined in POSIX header termios.h | |
| #define B0 FORBIDDEN_IDENTIFIER | |
|  | |
| // Unit tests calling Eigen's blas library must preserve the default blocking size | |
| // to avoid troubles. | |
| #ifndef STORMEIGEN_NO_DEBUG_SMALL_PRODUCT_BLOCKS | |
| #define STORMEIGEN_DEBUG_SMALL_PRODUCT_BLOCKS | |
| #endif | |
|  | |
| // shuts down ICC's remark #593: variable "XXX" was set but never used | |
| #define TEST_SET_BUT_UNUSED_VARIABLE(X) STORMEIGEN_UNUSED_VARIABLE(X) | |
|  | |
| #ifdef TEST_ENABLE_TEMPORARY_TRACKING | |
|  | |
| static long int nb_temporaries; | |
| 
 | |
| inline void on_temporary_creation(long int size) { | |
|   // here's a great place to set a breakpoint when debugging failures in this test! | |
|   if(size!=0) nb_temporaries++; | |
| } | |
| 
 | |
| #define STORMEIGEN_DENSE_STORAGE_CTOR_PLUGIN { on_temporary_creation(size); } | |
|  | |
| #define VERIFY_EVALUATION_COUNT(XPR,N) {\ | |
|     nb_temporaries = 0; \ | |
|     XPR; \ | |
|     if(nb_temporaries!=N) std::cerr << "nb_temporaries == " << nb_temporaries << "\n"; \ | |
|     VERIFY( (#XPR) && nb_temporaries==N ); \ | |
|   } | |
|    | |
| #endif | |
|  | |
| // the following file is automatically generated by cmake | |
| #include "split_test_helper.h" | |
|  | |
| #ifdef NDEBUG | |
| #undef NDEBUG | |
| #endif | |
|  | |
| // On windows CE, NDEBUG is automatically defined <assert.h> if NDEBUG is not defined. | |
| #ifndef DEBUG | |
| #define DEBUG | |
| #endif | |
|  | |
| // bounds integer values for AltiVec | |
| #if defined(__ALTIVEC__) || defined(__VSX__) | |
| #define STORMEIGEN_MAKING_DOCS | |
| #endif | |
|  | |
| #ifndef STORMEIGEN_TEST_FUNC | |
| #error STORMEIGEN_TEST_FUNC must be defined | |
| #endif | |
|  | |
| #define DEFAULT_REPEAT 10 | |
|  | |
| namespace StormEigen | |
| { | |
|   static std::vector<std::string> g_test_stack; | |
|   // level == 0 <=> abort if test fail | |
|   // level >= 1 <=> warning message to std::cerr if test fail | |
|   static int g_test_level = 0; | |
|   static int g_repeat; | |
|   static unsigned int g_seed; | |
|   static bool g_has_set_repeat, g_has_set_seed; | |
| } | |
| 
 | |
| #define TRACK std::cerr << __FILE__ << " " << __LINE__ << std::endl | |
| // #define TRACK while() | |
|  | |
| #define EI_PP_MAKE_STRING2(S) #S | |
| #define EI_PP_MAKE_STRING(S) EI_PP_MAKE_STRING2(S) | |
|  | |
| #define STORMEIGEN_DEFAULT_IO_FORMAT IOFormat(4, 0, "  ", "\n", "", "", "", "") | |
|  | |
| #if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(__CUDA_ARCH__) | |
|   #define STORMEIGEN_EXCEPTIONS | |
| #endif | |
|  | |
| #ifndef STORMEIGEN_NO_ASSERTION_CHECKING | |
|  | |
|   namespace StormEigen | |
|   { | |
|     static const bool should_raise_an_assert = false; | |
| 
 | |
|     // Used to avoid to raise two exceptions at a time in which | |
|     // case the exception is not properly caught. | |
|     // This may happen when a second exceptions is triggered in a destructor. | |
|     static bool no_more_assert = false; | |
|     static bool report_on_cerr_on_assert_failure = true; | |
| 
 | |
|     struct eigen_assert_exception | |
|     { | |
|       eigen_assert_exception(void) {} | |
|       ~eigen_assert_exception() { StormEigen::no_more_assert = false; } | |
|     }; | |
|   } | |
|   // If STORMEIGEN_DEBUG_ASSERTS is defined and if no assertion is triggered while | |
|   // one should have been, then the list of excecuted assertions is printed out. | |
|   // | |
|   // STORMEIGEN_DEBUG_ASSERTS is not enabled by default as it | |
|   // significantly increases the compilation time | |
|   // and might even introduce side effects that would hide | |
|   // some memory errors. | |
|   #ifdef STORMEIGEN_DEBUG_ASSERTS | |
|  | |
|     namespace StormEigen | |
|     { | |
|       namespace internal | |
|       { | |
|         static bool push_assert = false; | |
|       } | |
|       static std::vector<std::string> eigen_assert_list; | |
|     } | |
|     #define eigen_assert(a)                       \ | |
|       if( (!(a)) && (!no_more_assert) )     \ | |
|       { \ | |
|         if(report_on_cerr_on_assert_failure) \ | |
|           std::cerr <<  #a << " " __FILE__ << "(" << __LINE__ << ")\n"; \ | |
|         StormEigen::no_more_assert = true;       \ | |
|         STORMEIGEN_THROW_X(StormEigen::eigen_assert_exception()); \ | |
|       }                                     \ | |
|       else if (StormEigen::internal::push_assert)       \ | |
|       {                                     \ | |
|         eigen_assert_list.push_back(std::string(EI_PP_MAKE_STRING(__FILE__) " (" EI_PP_MAKE_STRING(__LINE__) ") : " #a) ); \ | |
|       } | |
|  | |
|     #ifdef STORMEIGEN_EXCEPTIONS | |
|     #define VERIFY_RAISES_ASSERT(a)                                                   \ | |
|       {                                                                               \ | |
|         StormEigen::no_more_assert = false;                                                \ | |
|         StormEigen::eigen_assert_list.clear();                                             \ | |
|         StormEigen::internal::push_assert = true;                                          \ | |
|         StormEigen::report_on_cerr_on_assert_failure = false;                              \ | |
|         try {                                                                         \ | |
|           a;                                                                          \ | |
|           std::cerr << "One of the following asserts should have been triggered:\n";  \ | |
|           for (uint ai=0 ; ai<eigen_assert_list.size() ; ++ai)                        \ | |
|             std::cerr << "  " << eigen_assert_list[ai] << "\n";                       \ | |
|           VERIFY(StormEigen::should_raise_an_assert && # a);                               \ | |
|         } catch (StormEigen::eigen_assert_exception) {                                     \ | |
|           StormEigen::internal::push_assert = false; VERIFY(true);                         \ | |
|         }                                                                             \ | |
|         StormEigen::report_on_cerr_on_assert_failure = true;                               \ | |
|         StormEigen::internal::push_assert = false;                                         \ | |
|       } | |
|     #endif //STORMEIGEN_EXCEPTIONS | |
|  | |
|   #elif !defined(__CUDACC__) // STORMEIGEN_DEBUG_ASSERTS | |
|     // see bug 89. The copy_bool here is working around a bug in gcc <= 4.3 | |
|     #define eigen_assert(a) \ | |
|       if( (!StormEigen::internal::copy_bool(a)) && (!no_more_assert) )\ | |
|       {                                       \ | |
|         StormEigen::no_more_assert = true;         \ | |
|         if(report_on_cerr_on_assert_failure)  \ | |
|           eigen_plain_assert(a);              \ | |
|         else                                  \ | |
|           STORMEIGEN_THROW_X(StormEigen::eigen_assert_exception()); \ | |
|       } | |
|     #ifdef STORMEIGEN_EXCEPTIONS | |
|       #define VERIFY_RAISES_ASSERT(a) {                           \ | |
|         StormEigen::no_more_assert = false;                            \ | |
|         StormEigen::report_on_cerr_on_assert_failure = false;          \ | |
|         try {                                                     \ | |
|           a;                                                      \ | |
|           VERIFY(StormEigen::should_raise_an_assert && # a);           \ | |
|         }                                                         \ | |
|         catch (StormEigen::eigen_assert_exception&) { VERIFY(true); }  \ | |
|         StormEigen::report_on_cerr_on_assert_failure = true;           \ | |
|       } | |
|     #endif //STORMEIGEN_EXCEPTIONS | |
|   #endif // STORMEIGEN_DEBUG_ASSERTS | |
|  | |
| #ifndef VERIFY_RAISES_ASSERT | |
|   #define VERIFY_RAISES_ASSERT(a) \ | |
|     std::cout << "Can't VERIFY_RAISES_ASSERT( " #a " ) with exceptions disabled\n"; | |
| #endif | |
|      | |
|   #if !defined(__CUDACC__) | |
|   #define STORMEIGEN_USE_CUSTOM_ASSERT | |
|   #endif | |
|  | |
| #else // STORMEIGEN_NO_ASSERTION_CHECKING | |
|  | |
|   #define VERIFY_RAISES_ASSERT(a) {} | |
|  | |
| #endif // STORMEIGEN_NO_ASSERTION_CHECKING | |
|  | |
| 
 | |
| #define STORMEIGEN_INTERNAL_DEBUGGING | |
| #include <StormEigen/QR> // required for createRandomPIMatrixOfRank | |
|  | |
| inline void verify_impl(bool condition, const char *testname, const char *file, int line, const char *condition_as_string) | |
| { | |
|   if (!condition) | |
|   { | |
|     if(StormEigen::g_test_level>0) | |
|       std::cerr << "WARNING: "; | |
|     std::cerr << "Test " << testname << " failed in " << file << " (" << line << ")" | |
|       << std::endl << "    " << condition_as_string << std::endl; | |
|     std::cerr << "Stack:\n"; | |
|     const int test_stack_size = static_cast<int>(StormEigen::g_test_stack.size()); | |
|     for(int i=test_stack_size-1; i>=0; --i) | |
|       std::cerr << "  - " << StormEigen::g_test_stack[i] << "\n"; | |
|     std::cerr << "\n"; | |
|     if(StormEigen::g_test_level==0) | |
|       abort(); | |
|   } | |
| } | |
| 
 | |
| #define VERIFY(a) ::verify_impl(a, g_test_stack.back().c_str(), __FILE__, __LINE__, EI_PP_MAKE_STRING(a)) | |
|  | |
| #define VERIFY_IS_EQUAL(a, b) VERIFY(test_is_equal(a, b)) | |
| #define VERIFY_IS_NOT_EQUAL(a, b) VERIFY(!test_is_equal(a, b)) | |
| #define VERIFY_IS_APPROX(a, b) VERIFY(verifyIsApprox(a, b)) | |
| #define VERIFY_IS_NOT_APPROX(a, b) VERIFY(!test_isApprox(a, b)) | |
| #define VERIFY_IS_MUCH_SMALLER_THAN(a, b) VERIFY(test_isMuchSmallerThan(a, b)) | |
| #define VERIFY_IS_NOT_MUCH_SMALLER_THAN(a, b) VERIFY(!test_isMuchSmallerThan(a, b)) | |
| #define VERIFY_IS_APPROX_OR_LESS_THAN(a, b) VERIFY(test_isApproxOrLessThan(a, b)) | |
| #define VERIFY_IS_NOT_APPROX_OR_LESS_THAN(a, b) VERIFY(!test_isApproxOrLessThan(a, b)) | |
|  | |
| #define VERIFY_IS_UNITARY(a) VERIFY(test_isUnitary(a)) | |
|  | |
| #define CALL_SUBTEST(FUNC) do { \ | |
|     g_test_stack.push_back(EI_PP_MAKE_STRING(FUNC)); \ | |
|     FUNC; \ | |
|     g_test_stack.pop_back(); \ | |
|   } while (0) | |
|  | |
| 
 | |
| namespace StormEigen { | |
| 
 | |
| template<typename T> inline typename NumTraits<T>::Real test_precision() { return NumTraits<T>::dummy_precision(); } | |
| template<> inline float test_precision<float>() { return 1e-3f; } | |
| template<> inline double test_precision<double>() { return 1e-6; } | |
| template<> inline long double test_precision<long double>() { return 1e-6; } | |
| template<> inline float test_precision<std::complex<float> >() { return test_precision<float>(); } | |
| template<> inline double test_precision<std::complex<double> >() { return test_precision<double>(); } | |
| template<> inline long double test_precision<std::complex<long double> >() { return test_precision<long double>(); } | |
| 
 | |
| inline bool test_isApprox(const int& a, const int& b) | |
| { return internal::isApprox(a, b, test_precision<int>()); } | |
| inline bool test_isMuchSmallerThan(const int& a, const int& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<int>()); } | |
| inline bool test_isApproxOrLessThan(const int& a, const int& b) | |
| { return internal::isApproxOrLessThan(a, b, test_precision<int>()); } | |
| 
 | |
| inline bool test_isApprox(const float& a, const float& b) | |
| { return internal::isApprox(a, b, test_precision<float>()); } | |
| inline bool test_isMuchSmallerThan(const float& a, const float& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<float>()); } | |
| inline bool test_isApproxOrLessThan(const float& a, const float& b) | |
| { return internal::isApproxOrLessThan(a, b, test_precision<float>()); } | |
| inline bool test_isApprox(const double& a, const double& b) | |
| { return internal::isApprox(a, b, test_precision<double>()); } | |
| 
 | |
| inline bool test_isMuchSmallerThan(const double& a, const double& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<double>()); } | |
| inline bool test_isApproxOrLessThan(const double& a, const double& b) | |
| { return internal::isApproxOrLessThan(a, b, test_precision<double>()); } | |
| 
 | |
| #ifndef STORMEIGEN_TEST_NO_COMPLEX | |
| inline bool test_isApprox(const std::complex<float>& a, const std::complex<float>& b) | |
| { return internal::isApprox(a, b, test_precision<std::complex<float> >()); } | |
| inline bool test_isMuchSmallerThan(const std::complex<float>& a, const std::complex<float>& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<std::complex<float> >()); } | |
| 
 | |
| inline bool test_isApprox(const std::complex<double>& a, const std::complex<double>& b) | |
| { return internal::isApprox(a, b, test_precision<std::complex<double> >()); } | |
| inline bool test_isMuchSmallerThan(const std::complex<double>& a, const std::complex<double>& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<std::complex<double> >()); } | |
| 
 | |
| inline bool test_isApprox(const std::complex<long double>& a, const std::complex<long double>& b) | |
| { return internal::isApprox(a, b, test_precision<std::complex<long double> >()); } | |
| inline bool test_isMuchSmallerThan(const std::complex<long double>& a, const std::complex<long double>& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<std::complex<long double> >()); } | |
| #endif | |
|  | |
| #ifndef STORMEIGEN_TEST_NO_LONGDOUBLE | |
| inline bool test_isApprox(const long double& a, const long double& b) | |
| { | |
|     bool ret = internal::isApprox(a, b, test_precision<long double>()); | |
|     if (!ret) std::cerr | |
|         << std::endl << "    actual   = " << a | |
|         << std::endl << "    expected = " << b << std::endl << std::endl; | |
|     return ret; | |
| } | |
| 
 | |
| inline bool test_isMuchSmallerThan(const long double& a, const long double& b) | |
| { return internal::isMuchSmallerThan(a, b, test_precision<long double>()); } | |
| inline bool test_isApproxOrLessThan(const long double& a, const long double& b) | |
| { return internal::isApproxOrLessThan(a, b, test_precision<long double>()); } | |
| #endif // STORMEIGEN_TEST_NO_LONGDOUBLE | |
|  | |
| 
 | |
| // test_relative_error returns the relative difference between a and b as a real scalar as used in isApprox. | |
| template<typename T1,typename T2> | |
| typename T1::RealScalar test_relative_error(const EigenBase<T1> &a, const EigenBase<T2> &b) | |
| { | |
|   using std::sqrt; | |
|   typedef typename T1::RealScalar RealScalar; | |
|   typename internal::nested_eval<T1,2>::type ea(a.derived()); | |
|   typename internal::nested_eval<T2,2>::type eb(b.derived()); | |
|   return sqrt(RealScalar((ea-eb).cwiseAbs2().sum()) / RealScalar((std::min)(eb.cwiseAbs2().sum(),ea.cwiseAbs2().sum()))); | |
| } | |
| 
 | |
| template<typename T1,typename T2> | |
| typename T1::RealScalar test_relative_error(const T1 &a, const T2 &b, const typename T1::Coefficients* = 0) | |
| { | |
|   return test_relative_error(a.coeffs(), b.coeffs()); | |
| } | |
| 
 | |
| template<typename T1,typename T2> | |
| typename T1::Scalar test_relative_error(const T1 &a, const T2 &b, const typename T1::MatrixType* = 0) | |
| { | |
|   return test_relative_error(a.matrix(), b.matrix()); | |
| } | |
| 
 | |
| template<typename S, int D> | |
| S test_relative_error(const Translation<S,D> &a, const Translation<S,D> &b) | |
| { | |
|   return test_relative_error(a.vector(), b.vector()); | |
| } | |
| 
 | |
| template <typename S, int D, int O> | |
| S test_relative_error(const ParametrizedLine<S,D,O> &a, const ParametrizedLine<S,D,O> &b) | |
| { | |
|   return (std::max)(test_relative_error(a.origin(), b.origin()), test_relative_error(a.origin(), b.origin())); | |
| } | |
| 
 | |
| template <typename S, int D> | |
| S test_relative_error(const AlignedBox<S,D> &a, const AlignedBox<S,D> &b) | |
| { | |
|   return (std::max)(test_relative_error((a.min)(), (b.min)()), test_relative_error((a.max)(), (b.max)())); | |
| } | |
| 
 | |
| template<typename Derived> class SparseMatrixBase; | |
| template<typename T1,typename T2> | |
| typename T1::RealScalar test_relative_error(const MatrixBase<T1> &a, const SparseMatrixBase<T2> &b) | |
| { | |
|   return test_relative_error(a,b.toDense()); | |
| } | |
| 
 | |
| template<typename Derived> class SparseMatrixBase; | |
| template<typename T1,typename T2> | |
| typename T1::RealScalar test_relative_error(const SparseMatrixBase<T1> &a, const MatrixBase<T2> &b) | |
| { | |
|   return test_relative_error(a.toDense(),b); | |
| } | |
| 
 | |
| template<typename Derived> class SparseMatrixBase; | |
| template<typename T1,typename T2> | |
| typename T1::RealScalar test_relative_error(const SparseMatrixBase<T1> &a, const SparseMatrixBase<T2> &b) | |
| { | |
|   return test_relative_error(a.toDense(),b.toDense()); | |
| } | |
| 
 | |
| template<typename T1,typename T2> | |
| typename NumTraits<T1>::Real test_relative_error(const T1 &a, const T2 &b, typename internal::enable_if<internal::is_arithmetic<typename NumTraits<T1>::Real>::value, T1>::type* = 0) | |
| { | |
|   typedef typename NumTraits<T1>::Real RealScalar;  | |
|   using std::min; | |
|   using std::sqrt; | |
|   return sqrt(RealScalar(numext::abs2(a-b))/RealScalar((min)(numext::abs2(a),numext::abs2(b)))); | |
| } | |
| 
 | |
| template<typename T> | |
| T test_relative_error(const Rotation2D<T> &a, const Rotation2D<T> &b) | |
| { | |
|   return test_relative_error(a.angle(), b.angle()); | |
| } | |
| 
 | |
| template<typename T> | |
| T test_relative_error(const AngleAxis<T> &a, const AngleAxis<T> &b) | |
| { | |
|   return (std::max)(test_relative_error(a.angle(), b.angle()), test_relative_error(a.axis(), b.axis())); | |
| } | |
| 
 | |
| template<typename Type1, typename Type2> | |
| inline bool test_isApprox(const Type1& a, const Type2& b) | |
| { | |
|   return a.isApprox(b, test_precision<typename Type1::Scalar>()); | |
| } | |
| 
 | |
| // get_test_precision is a small wrapper to test_precision allowing to return the scalar precision for either scalars or expressions | |
| template<typename T> | |
| typename NumTraits<typename T::Scalar>::Real get_test_precision(const typename T::Scalar* = 0) | |
| { | |
|   return test_precision<typename NumTraits<typename T::Scalar>::Real>(); | |
| } | |
| 
 | |
| template<typename T> | |
| typename NumTraits<T>::Real get_test_precision(typename internal::enable_if<internal::is_arithmetic<typename NumTraits<T>::Real>::value, T>::type* = 0) | |
| { | |
|   return test_precision<typename NumTraits<T>::Real>(); | |
| } | |
| 
 | |
| // verifyIsApprox is a wrapper to test_isApprox that outputs the relative difference magnitude if the test fails. | |
| template<typename Type1, typename Type2> | |
| inline bool verifyIsApprox(const Type1& a, const Type2& b) | |
| { | |
|   bool ret = test_isApprox(a,b); | |
|   if(!ret) | |
|   { | |
|     std::cerr << "Difference too large wrt tolerance " << get_test_precision<Type1>()  << ", relative error is: " << test_relative_error(a,b) << std::endl; | |
|   } | |
|   return ret; | |
| } | |
| 
 | |
| // The idea behind this function is to compare the two scalars a and b where | |
| // the scalar ref is a hint about the expected order of magnitude of a and b. | |
| // WARNING: the scalar a and b must be positive | |
| // Therefore, if for some reason a and b are very small compared to ref, | |
| // we won't issue a false negative. | |
| // This test could be: abs(a-b) <= eps * ref | |
| // However, it seems that simply comparing a+ref and b+ref is more sensitive to true error. | |
| template<typename Scalar,typename ScalarRef> | |
| inline bool test_isApproxWithRef(const Scalar& a, const Scalar& b, const ScalarRef& ref) | |
| { | |
|   return test_isApprox(a+ref, b+ref); | |
| } | |
| 
 | |
| template<typename Derived1, typename Derived2> | |
| inline bool test_isMuchSmallerThan(const MatrixBase<Derived1>& m1, | |
|                                    const MatrixBase<Derived2>& m2) | |
| { | |
|   return m1.isMuchSmallerThan(m2, test_precision<typename internal::traits<Derived1>::Scalar>()); | |
| } | |
| 
 | |
| template<typename Derived> | |
| inline bool test_isMuchSmallerThan(const MatrixBase<Derived>& m, | |
|                                    const typename NumTraits<typename internal::traits<Derived>::Scalar>::Real& s) | |
| { | |
|   return m.isMuchSmallerThan(s, test_precision<typename internal::traits<Derived>::Scalar>()); | |
| } | |
| 
 | |
| template<typename Derived> | |
| inline bool test_isUnitary(const MatrixBase<Derived>& m) | |
| { | |
|   return m.isUnitary(test_precision<typename internal::traits<Derived>::Scalar>()); | |
| } | |
| 
 | |
| // Forward declaration to avoid ICC warning | |
| template<typename T, typename U> | |
| bool test_is_equal(const T& actual, const U& expected); | |
| 
 | |
| template<typename T, typename U> | |
| bool test_is_equal(const T& actual, const U& expected) | |
| { | |
|     if (actual==expected) | |
|         return true; | |
|     // false: | |
|     std::cerr | |
|         << std::endl << "    actual   = " << actual | |
|         << std::endl << "    expected = " << expected << std::endl << std::endl; | |
|     return false; | |
| } | |
| 
 | |
| /** Creates a random Partial Isometry matrix of given rank. | |
|   * | |
|   * A partial isometry is a matrix all of whose singular values are either 0 or 1. | |
|   * This is very useful to test rank-revealing algorithms. | |
|   */ | |
| // Forward declaration to avoid ICC warning | |
| template<typename MatrixType> | |
| void createRandomPIMatrixOfRank(Index desired_rank, Index rows, Index cols, MatrixType& m); | |
| template<typename MatrixType> | |
| void createRandomPIMatrixOfRank(Index desired_rank, Index rows, Index cols, MatrixType& m) | |
| { | |
|   typedef typename internal::traits<MatrixType>::Scalar Scalar; | |
|   enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime }; | |
| 
 | |
|   typedef Matrix<Scalar, Dynamic, 1> VectorType; | |
|   typedef Matrix<Scalar, Rows, Rows> MatrixAType; | |
|   typedef Matrix<Scalar, Cols, Cols> MatrixBType; | |
| 
 | |
|   if(desired_rank == 0) | |
|   { | |
|     m.setZero(rows,cols); | |
|     return; | |
|   } | |
| 
 | |
|   if(desired_rank == 1) | |
|   { | |
|     // here we normalize the vectors to get a partial isometry | |
|     m = VectorType::Random(rows).normalized() * VectorType::Random(cols).normalized().transpose(); | |
|     return; | |
|   } | |
| 
 | |
|   MatrixAType a = MatrixAType::Random(rows,rows); | |
|   MatrixType d = MatrixType::Identity(rows,cols); | |
|   MatrixBType  b = MatrixBType::Random(cols,cols); | |
| 
 | |
|   // set the diagonal such that only desired_rank non-zero entries reamain | |
|   const Index diag_size = (std::min)(d.rows(),d.cols()); | |
|   if(diag_size != desired_rank) | |
|     d.diagonal().segment(desired_rank, diag_size-desired_rank) = VectorType::Zero(diag_size-desired_rank); | |
| 
 | |
|   HouseholderQR<MatrixAType> qra(a); | |
|   HouseholderQR<MatrixBType> qrb(b); | |
|   m = qra.householderQ() * d * qrb.householderQ(); | |
| } | |
| 
 | |
| // Forward declaration to avoid ICC warning | |
| template<typename PermutationVectorType> | |
| void randomPermutationVector(PermutationVectorType& v, Index size); | |
| template<typename PermutationVectorType> | |
| void randomPermutationVector(PermutationVectorType& v, Index size) | |
| { | |
|   typedef typename PermutationVectorType::Scalar Scalar; | |
|   v.resize(size); | |
|   for(Index i = 0; i < size; ++i) v(i) = Scalar(i); | |
|   if(size == 1) return; | |
|   for(Index n = 0; n < 3 * size; ++n) | |
|   { | |
|     Index i = internal::random<Index>(0, size-1); | |
|     Index j; | |
|     do j = internal::random<Index>(0, size-1); while(j==i); | |
|     std::swap(v(i), v(j)); | |
|   } | |
| } | |
| 
 | |
| template<typename T> bool isNotNaN(const T& x) | |
| { | |
|   return x==x; | |
| } | |
| 
 | |
| template<typename T> bool isPlusInf(const T& x) | |
| { | |
|   return x > NumTraits<T>::highest(); | |
| } | |
| 
 | |
| template<typename T> bool isMinusInf(const T& x) | |
| { | |
|   return x < NumTraits<T>::lowest(); | |
| } | |
| 
 | |
| } // end namespace StormEigen | |
|  | |
| template<typename T> struct GetDifferentType; | |
| 
 | |
| template<> struct GetDifferentType<float> { typedef double type; }; | |
| template<> struct GetDifferentType<double> { typedef float type; }; | |
| template<typename T> struct GetDifferentType<std::complex<T> > | |
| { typedef std::complex<typename GetDifferentType<T>::type> type; }; | |
| 
 | |
| // Forward declaration to avoid ICC warning | |
| template<typename T> std::string type_name(); | |
| template<typename T> std::string type_name()                    { return "other"; } | |
| template<> std::string type_name<float>()                       { return "float"; } | |
| template<> std::string type_name<double>()                      { return "double"; } | |
| template<> std::string type_name<long double>()                 { return "long double"; } | |
| template<> std::string type_name<int>()                         { return "int"; } | |
| template<> std::string type_name<std::complex<float> >()        { return "complex<float>"; } | |
| template<> std::string type_name<std::complex<double> >()       { return "complex<double>"; } | |
| template<> std::string type_name<std::complex<long double> >()  { return "complex<long double>"; } | |
| template<> std::string type_name<std::complex<int> >()          { return "complex<int>"; } | |
| 
 | |
| // forward declaration of the main test function | |
| void STORMEIGEN_CAT(test_,STORMEIGEN_TEST_FUNC)(); | |
| 
 | |
| using namespace StormEigen; | |
| 
 | |
| inline void set_repeat_from_string(const char *str) | |
| { | |
|   errno = 0; | |
|   g_repeat = int(strtoul(str, 0, 10)); | |
|   if(errno || g_repeat <= 0) | |
|   { | |
|     std::cout << "Invalid repeat value " << str << std::endl; | |
|     exit(EXIT_FAILURE); | |
|   } | |
|   g_has_set_repeat = true; | |
| } | |
| 
 | |
| inline void set_seed_from_string(const char *str) | |
| { | |
|   errno = 0; | |
|   g_seed = int(strtoul(str, 0, 10)); | |
|   if(errno || g_seed == 0) | |
|   { | |
|     std::cout << "Invalid seed value " << str << std::endl; | |
|     exit(EXIT_FAILURE); | |
|   } | |
|   g_has_set_seed = true; | |
| } | |
| 
 | |
| int main(int argc, char *argv[]) | |
| { | |
|     g_has_set_repeat = false; | |
|     g_has_set_seed = false; | |
|     bool need_help = false; | |
| 
 | |
|     for(int i = 1; i < argc; i++) | |
|     { | |
|       if(argv[i][0] == 'r') | |
|       { | |
|         if(g_has_set_repeat) | |
|         { | |
|           std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl; | |
|           return 1; | |
|         } | |
|         set_repeat_from_string(argv[i]+1); | |
|       } | |
|       else if(argv[i][0] == 's') | |
|       { | |
|         if(g_has_set_seed) | |
|         { | |
|           std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl; | |
|           return 1; | |
|         } | |
|          set_seed_from_string(argv[i]+1); | |
|       } | |
|       else | |
|       { | |
|         need_help = true; | |
|       } | |
|     } | |
| 
 | |
|     if(need_help) | |
|     { | |
|       std::cout << "This test application takes the following optional arguments:" << std::endl; | |
|       std::cout << "  rN     Repeat each test N times (default: " << DEFAULT_REPEAT << ")" << std::endl; | |
|       std::cout << "  sN     Use N as seed for random numbers (default: based on current time)" << std::endl; | |
|       std::cout << std::endl; | |
|       std::cout << "If defined, the environment variables STORMEIGEN_REPEAT and STORMEIGEN_SEED" << std::endl; | |
|       std::cout << "will be used as default values for these parameters." << std::endl; | |
|       return 1; | |
|     } | |
| 
 | |
|     char *env_STORMEIGEN_REPEAT = getenv("STORMEIGEN_REPEAT"); | |
|     if(!g_has_set_repeat && env_STORMEIGEN_REPEAT) | |
|       set_repeat_from_string(env_STORMEIGEN_REPEAT); | |
|     char *env_STORMEIGEN_SEED = getenv("STORMEIGEN_SEED"); | |
|     if(!g_has_set_seed && env_STORMEIGEN_SEED) | |
|       set_seed_from_string(env_STORMEIGEN_SEED); | |
| 
 | |
|     if(!g_has_set_seed) g_seed = (unsigned int) time(NULL); | |
|     if(!g_has_set_repeat) g_repeat = DEFAULT_REPEAT; | |
| 
 | |
|     std::cout << "Initializing random number generator with seed " << g_seed << std::endl; | |
|     std::stringstream ss; | |
|     ss << "Seed: " << g_seed; | |
|     g_test_stack.push_back(ss.str()); | |
|     srand(g_seed); | |
|     std::cout << "Repeating each test " << g_repeat << " times" << std::endl; | |
| 
 | |
|     StormEigen::g_test_stack.push_back(std::string(EI_PP_MAKE_STRING(STORMEIGEN_TEST_FUNC))); | |
| 
 | |
|     STORMEIGEN_CAT(test_,STORMEIGEN_TEST_FUNC)(); | |
|     return 0; | |
| } | |
| 
 | |
| // These warning are disabled here such that they are still ON when parsing Eigen's header files. | |
| #if defined __INTEL_COMPILER | |
|   // remark #383: value copied to temporary, reference to temporary used | |
|   //  -> 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> | |
|   // remark #1418: external function definition with no prior declaration | |
|   //  -> this warning is raised for all our test functions. Declaring them static would fix the issue. | |
|   // warning #279: controlling expression is constant | |
|   // remark #1572: floating-point equality and inequality comparisons are unreliable | |
|   #pragma warning disable 279 383 1418 1572 | |
| #endif
 |