// 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>
// 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 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
// shuts down ICC's remark #593: variable "XXX" was set but never used
#define TEST_SET_BUT_UNUSED_VARIABLE(X) X = X + 0;
// 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
#ifdef __ALTIVEC__
#define EIGEN_MAKING_DOCS
#endif
#ifndef EIGEN_TEST_FUNC
#error EIGEN_TEST_FUNC must be defined
#endif
#define DEFAULT_REPEAT 10
namespace Eigen
{
static std::vector<std::string> g_test_stack;
static int g_repeat;
static unsigned int g_seed;
static bool g_has_set_repeat, g_has_set_seed;
}
#define EI_PP_MAKE_STRING2(S) #S
#define EI_PP_MAKE_STRING(S) EI_PP_MAKE_STRING2(S)
#define EIGEN_DEFAULT_IO_FORMAT IOFormat(4, 0, " ", "\n", "", "", "", "")
#ifndef EIGEN_NO_ASSERTION_CHECKING
namespace Eigen
{
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() { Eigen::no_more_assert = false; }
};
}
// If EIGEN_DEBUG_ASSERTS is defined and if no assertion is triggered while
// one should have been, then the list of excecuted assertions is printed out.
//
// EIGEN_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 EIGEN_DEBUG_ASSERTS
namespace Eigen
{
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"; \
Eigen::no_more_assert = true; \
throw Eigen::eigen_assert_exception(); \
} \
else if (Eigen::internal::push_assert) \
{ \
eigen_assert_list.push_back(std::string(EI_PP_MAKE_STRING(__FILE__) " (" EI_PP_MAKE_STRING(__LINE__) ") : " #a) ); \
}
#define VERIFY_RAISES_ASSERT(a) \
{ \
Eigen::no_more_assert = false; \
Eigen::eigen_assert_list.clear(); \
Eigen::internal::push_assert = true; \
Eigen::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(Eigen::should_raise_an_assert && # a); \
} catch (Eigen::eigen_assert_exception) { \
Eigen::internal::push_assert = false; VERIFY(true); \
} \
Eigen::report_on_cerr_on_assert_failure = true; \
Eigen::internal::push_assert = false; \
}
#else // EIGEN_DEBUG_ASSERTS
// see bug 89. The copy_bool here is working around a bug in gcc <= 4.3
#define eigen_assert(a) \
if( (!Eigen::internal::copy_bool(a)) && (!no_more_assert) )\
{ \
Eigen::no_more_assert = true; \
if(report_on_cerr_on_assert_failure) \
eigen_plain_assert(a); \
else \
throw Eigen::eigen_assert_exception(); \
}
#define VERIFY_RAISES_ASSERT(a) { \
Eigen::no_more_assert = false; \
Eigen::report_on_cerr_on_assert_failure = false; \
try { \
a; \
VERIFY(Eigen::should_raise_an_assert && # a); \
} \
catch (Eigen::eigen_assert_exception&) { VERIFY(true); } \
Eigen::report_on_cerr_on_assert_failure = true; \
}
#endif // EIGEN_DEBUG_ASSERTS
#define EIGEN_USE_CUSTOM_ASSERT
#else // EIGEN_NO_ASSERTION_CHECKING
#define VERIFY_RAISES_ASSERT(a) {}
#endif // EIGEN_NO_ASSERTION_CHECKING
#define EIGEN_INTERNAL_DEBUGGING
#include <Eigen/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)
{
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>(Eigen::g_test_stack.size());
for(int i=test_stack_size-1; i>=0; --i)
std::cerr << " - " << Eigen::g_test_stack[i] << "\n";
std::cerr << "\n";
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_APPROX(a, b) VERIFY(test_isApprox(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 Eigen {
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 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<long double>() { return 1e-6; }
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>()); }
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 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>()); }
template<typename Type1, typename Type2>
inline bool test_isApprox(const Type1& a, const Type2& b)
{
return a.isApprox(b, test_precision<typename Type1::Scalar>());
}
// 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(typename MatrixType::Index desired_rank, typename MatrixType::Index rows, typename MatrixType::Index cols, MatrixType& m);
template<typename MatrixType>
void createRandomPIMatrixOfRank(typename MatrixType::Index desired_rank, typename MatrixType::Index rows, typename MatrixType::Index cols, MatrixType& m)
{
typedef typename internal::traits<MatrixType>::Index Index;
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, typename PermutationVectorType::Index size);
template<typename PermutationVectorType>
void randomPermutationVector(PermutationVectorType& v, typename PermutationVectorType::Index size)
{
typedef typename PermutationVectorType::Index Index;
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 isNaN(const T& x)
{
return x!=x;
}
template<typename T> bool isInf(const T& x)
{
return x > NumTraits<T>::highest();
}
template<typename T> bool isMinusInf(const T& x)
{
return x < NumTraits<T>::lowest();
}
} // end namespace Eigen
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<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<int> >() { return "complex<int>"; }
// forward declaration of the main test function
void EIGEN_CAT(test_,EIGEN_TEST_FUNC)();
using namespace Eigen;
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 EIGEN_REPEAT and EIGEN_SEED" << std::endl;
std::cout << "will be used as default values for these parameters." << std::endl;
return 1;
}
char *env_EIGEN_REPEAT = getenv("EIGEN_REPEAT");
if(!g_has_set_repeat && env_EIGEN_REPEAT)
set_repeat_from_string(env_EIGEN_REPEAT);
char *env_EIGEN_SEED = getenv("EIGEN_SEED");
if(!g_has_set_seed && env_EIGEN_SEED)
set_seed_from_string(env_EIGEN_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;
Eigen::g_test_stack.push_back(std::string(EI_PP_MAKE_STRING(EIGEN_TEST_FUNC)));
EIGEN_CAT(test_,EIGEN_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