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804 lines
31 KiB
C++
804 lines
31 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include <cstdlib>
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#include <cerrno>
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#include <ctime>
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#include <iostream>
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#include <fstream>
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#include <string>
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#include <sstream>
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#include <vector>
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#include <typeinfo>
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// The following includes of STL headers have to be done _before_ the
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// definition of macros min() and max(). The reason is that many STL
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// implementations will not work properly as the min and max symbols collide
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// with the STL functions std:min() and std::max(). The STL headers may check
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// for the macro definition of min/max and issue a warning or undefine the
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// macros.
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//
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// Still, Windows defines min() and max() in windef.h as part of the regular
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// Windows system interfaces and many other Windows APIs depend on these
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// macros being available. To prevent the macro expansion of min/max and to
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// make Eigen compatible with the Windows environment all function calls of
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// std::min() and std::max() have to be written with parenthesis around the
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// function name.
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//
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// All STL headers used by Eigen should be included here. Because main.h is
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// included before any Eigen header and because the STL headers are guarded
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// against multiple inclusions, no STL header will see our own min/max macro
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// definitions.
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#include <limits>
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#include <algorithm>
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#include <complex>
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#include <deque>
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#include <queue>
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#include <cassert>
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#include <list>
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#if __cplusplus >= 201103L
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#include <random>
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#ifdef EIGEN_USE_THREADS
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#include <future>
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#endif
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#endif
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// Same for cuda_fp16.h
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#if defined(__CUDACC_VER_MAJOR__) && (__CUDACC_VER_MAJOR__ >= 9)
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#define EIGEN_TEST_CUDACC_VER ((__CUDACC_VER_MAJOR__ * 10000) + (__CUDACC_VER_MINOR__ * 100))
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#elif defined(__CUDACC_VER__)
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#define EIGEN_TEST_CUDACC_VER __CUDACC_VER__
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#else
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#define EIGEN_TEST_CUDACC_VER 0
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#endif
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#if EIGEN_TEST_CUDACC_VER >= 70500
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#include <cuda_fp16.h>
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#endif
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// To test that all calls from Eigen code to std::min() and std::max() are
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// protected by parenthesis against macro expansion, the min()/max() macros
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// are defined here and any not-parenthesized min/max call will cause a
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// compiler error.
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#define min(A,B) please_protect_your_min_with_parentheses
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#define max(A,B) please_protect_your_max_with_parentheses
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#define isnan(X) please_protect_your_isnan_with_parentheses
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#define isinf(X) please_protect_your_isinf_with_parentheses
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#define isfinite(X) please_protect_your_isfinite_with_parentheses
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#ifdef M_PI
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#undef M_PI
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#endif
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#define M_PI please_use_EIGEN_PI_instead_of_M_PI
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#define FORBIDDEN_IDENTIFIER (this_identifier_is_forbidden_to_avoid_clashes) this_identifier_is_forbidden_to_avoid_clashes
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// B0 is defined in POSIX header termios.h
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#define B0 FORBIDDEN_IDENTIFIER
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// Unit tests calling Eigen's blas library must preserve the default blocking size
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// to avoid troubles.
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#ifndef EIGEN_NO_DEBUG_SMALL_PRODUCT_BLOCKS
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#define EIGEN_DEBUG_SMALL_PRODUCT_BLOCKS
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#endif
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// shuts down ICC's remark #593: variable "XXX" was set but never used
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#define TEST_SET_BUT_UNUSED_VARIABLE(X) EIGEN_UNUSED_VARIABLE(X)
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#ifdef TEST_ENABLE_TEMPORARY_TRACKING
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static long int nb_temporaries;
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static long int nb_temporaries_on_assert = -1;
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inline void on_temporary_creation(long int size) {
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// here's a great place to set a breakpoint when debugging failures in this test!
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if(size!=0) nb_temporaries++;
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if(nb_temporaries_on_assert>0) assert(nb_temporaries<nb_temporaries_on_assert);
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}
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#define EIGEN_DENSE_STORAGE_CTOR_PLUGIN { on_temporary_creation(size); }
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#define VERIFY_EVALUATION_COUNT(XPR,N) {\
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nb_temporaries = 0; \
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XPR; \
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if(nb_temporaries!=N) { std::cerr << "nb_temporaries == " << nb_temporaries << "\n"; }\
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VERIFY( (#XPR) && nb_temporaries==N ); \
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}
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#endif
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// the following file is automatically generated by cmake
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#include "split_test_helper.h"
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#ifdef NDEBUG
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#undef NDEBUG
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#endif
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// On windows CE, NDEBUG is automatically defined <assert.h> if NDEBUG is not defined.
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#ifndef DEBUG
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#define DEBUG
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#endif
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// bounds integer values for AltiVec
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#if defined(__ALTIVEC__) || defined(__VSX__)
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#define EIGEN_MAKING_DOCS
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#endif
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#ifndef EIGEN_TEST_FUNC
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#error EIGEN_TEST_FUNC must be defined
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#endif
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#define DEFAULT_REPEAT 10
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namespace Eigen
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{
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static std::vector<std::string> g_test_stack;
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// level == 0 <=> abort if test fail
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// level >= 1 <=> warning message to std::cerr if test fail
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static int g_test_level = 0;
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static int g_repeat;
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static unsigned int g_seed;
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static bool g_has_set_repeat, g_has_set_seed;
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}
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#define TRACK std::cerr << __FILE__ << " " << __LINE__ << std::endl
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// #define TRACK while()
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#define EI_PP_MAKE_STRING2(S) #S
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#define EI_PP_MAKE_STRING(S) EI_PP_MAKE_STRING2(S)
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#define EIGEN_DEFAULT_IO_FORMAT IOFormat(4, 0, " ", "\n", "", "", "", "")
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#if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(__CUDA_ARCH__)
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#define EIGEN_EXCEPTIONS
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#endif
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#ifndef EIGEN_NO_ASSERTION_CHECKING
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namespace Eigen
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{
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static const bool should_raise_an_assert = false;
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// Used to avoid to raise two exceptions at a time in which
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// case the exception is not properly caught.
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// This may happen when a second exceptions is triggered in a destructor.
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static bool no_more_assert = false;
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static bool report_on_cerr_on_assert_failure = true;
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struct eigen_assert_exception
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{
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eigen_assert_exception(void) {}
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~eigen_assert_exception() { Eigen::no_more_assert = false; }
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};
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struct eigen_static_assert_exception
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{
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eigen_static_assert_exception(void) {}
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~eigen_static_assert_exception() { Eigen::no_more_assert = false; }
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};
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}
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// If EIGEN_DEBUG_ASSERTS is defined and if no assertion is triggered while
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// one should have been, then the list of executed assertions is printed out.
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//
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// EIGEN_DEBUG_ASSERTS is not enabled by default as it
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// significantly increases the compilation time
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// and might even introduce side effects that would hide
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// some memory errors.
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#ifdef EIGEN_DEBUG_ASSERTS
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namespace Eigen
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{
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namespace internal
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{
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static bool push_assert = false;
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}
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static std::vector<std::string> eigen_assert_list;
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}
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#define eigen_assert(a) \
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if( (!(a)) && (!no_more_assert) ) \
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{ \
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if(report_on_cerr_on_assert_failure) \
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std::cerr << #a << " " __FILE__ << "(" << __LINE__ << ")\n"; \
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Eigen::no_more_assert = true; \
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EIGEN_THROW_X(Eigen::eigen_assert_exception()); \
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} \
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else if (Eigen::internal::push_assert) \
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{ \
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eigen_assert_list.push_back(std::string(EI_PP_MAKE_STRING(__FILE__) " (" EI_PP_MAKE_STRING(__LINE__) ") : " #a) ); \
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}
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#ifdef EIGEN_EXCEPTIONS
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#define VERIFY_RAISES_ASSERT(a) \
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{ \
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Eigen::no_more_assert = false; \
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Eigen::eigen_assert_list.clear(); \
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Eigen::internal::push_assert = true; \
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Eigen::report_on_cerr_on_assert_failure = false; \
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try { \
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a; \
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std::cerr << "One of the following asserts should have been triggered:\n"; \
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for (uint ai=0 ; ai<eigen_assert_list.size() ; ++ai) \
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std::cerr << " " << eigen_assert_list[ai] << "\n"; \
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VERIFY(Eigen::should_raise_an_assert && # a); \
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} catch (Eigen::eigen_assert_exception) { \
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Eigen::internal::push_assert = false; VERIFY(true); \
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} \
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Eigen::report_on_cerr_on_assert_failure = true; \
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Eigen::internal::push_assert = false; \
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}
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#endif //EIGEN_EXCEPTIONS
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#elif !defined(__CUDACC__) // EIGEN_DEBUG_ASSERTS
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// see bug 89. The copy_bool here is working around a bug in gcc <= 4.3
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#define eigen_assert(a) \
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if( (!Eigen::internal::copy_bool(a)) && (!no_more_assert) )\
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{ \
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Eigen::no_more_assert = true; \
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if(report_on_cerr_on_assert_failure) \
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eigen_plain_assert(a); \
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else \
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EIGEN_THROW_X(Eigen::eigen_assert_exception()); \
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}
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#ifdef EIGEN_EXCEPTIONS
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#define VERIFY_RAISES_ASSERT(a) { \
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Eigen::no_more_assert = false; \
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Eigen::report_on_cerr_on_assert_failure = false; \
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try { \
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a; \
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VERIFY(Eigen::should_raise_an_assert && # a); \
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} \
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catch (Eigen::eigen_assert_exception&) { VERIFY(true); } \
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Eigen::report_on_cerr_on_assert_failure = true; \
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}
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#endif // EIGEN_EXCEPTIONS
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#endif // EIGEN_DEBUG_ASSERTS
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#if defined(TEST_CHECK_STATIC_ASSERTIONS) && defined(EIGEN_EXCEPTIONS)
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#define EIGEN_STATIC_ASSERT(a,MSG) \
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if( (!Eigen::internal::copy_bool(a)) && (!no_more_assert) )\
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{ \
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Eigen::no_more_assert = true; \
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if(report_on_cerr_on_assert_failure) \
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eigen_plain_assert((a) && #MSG); \
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else \
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EIGEN_THROW_X(Eigen::eigen_static_assert_exception()); \
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}
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#define VERIFY_RAISES_STATIC_ASSERT(a) { \
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Eigen::no_more_assert = false; \
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Eigen::report_on_cerr_on_assert_failure = false; \
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try { \
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a; \
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VERIFY(Eigen::should_raise_an_assert && # a); \
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} \
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catch (Eigen::eigen_static_assert_exception&) { VERIFY(true); } \
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Eigen::report_on_cerr_on_assert_failure = true; \
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}
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#endif // TEST_CHECK_STATIC_ASSERTIONS
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#ifndef VERIFY_RAISES_ASSERT
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#define VERIFY_RAISES_ASSERT(a) \
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std::cout << "Can't VERIFY_RAISES_ASSERT( " #a " ) with exceptions disabled\n";
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#endif
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#ifndef VERIFY_RAISES_STATIC_ASSERT
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#define VERIFY_RAISES_STATIC_ASSERT(a) \
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std::cout << "Can't VERIFY_RAISES_STATIC_ASSERT( " #a " ) with exceptions disabled\n";
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#endif
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#if !defined(__CUDACC__)
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#define EIGEN_USE_CUSTOM_ASSERT
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#endif
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#else // EIGEN_NO_ASSERTION_CHECKING
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#define VERIFY_RAISES_ASSERT(a) {}
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#define VERIFY_RAISES_STATIC_ASSERT(a) {}
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#endif // EIGEN_NO_ASSERTION_CHECKING
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#define EIGEN_INTERNAL_DEBUGGING
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#include <Eigen/QR> // required for createRandomPIMatrixOfRank
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inline void verify_impl(bool condition, const char *testname, const char *file, int line, const char *condition_as_string)
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{
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if (!condition)
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{
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if(Eigen::g_test_level>0)
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std::cerr << "WARNING: ";
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std::cerr << "Test " << testname << " failed in " << file << " (" << line << ")"
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<< std::endl << " " << condition_as_string << std::endl;
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std::cerr << "Stack:\n";
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const int test_stack_size = static_cast<int>(Eigen::g_test_stack.size());
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for(int i=test_stack_size-1; i>=0; --i)
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std::cerr << " - " << Eigen::g_test_stack[i] << "\n";
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std::cerr << "\n";
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if(Eigen::g_test_level==0)
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abort();
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}
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}
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#define VERIFY(a) ::verify_impl(a, g_test_stack.back().c_str(), __FILE__, __LINE__, EI_PP_MAKE_STRING(a))
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#define VERIFY_GE(a, b) ::verify_impl(a >= b, g_test_stack.back().c_str(), __FILE__, __LINE__, EI_PP_MAKE_STRING(a >= b))
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#define VERIFY_LE(a, b) ::verify_impl(a <= b, g_test_stack.back().c_str(), __FILE__, __LINE__, EI_PP_MAKE_STRING(a <= b))
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#define VERIFY_IS_EQUAL(a, b) VERIFY(test_is_equal(a, b, true))
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#define VERIFY_IS_NOT_EQUAL(a, b) VERIFY(test_is_equal(a, b, false))
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#define VERIFY_IS_APPROX(a, b) VERIFY(verifyIsApprox(a, b))
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#define VERIFY_IS_NOT_APPROX(a, b) VERIFY(!test_isApprox(a, b))
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#define VERIFY_IS_MUCH_SMALLER_THAN(a, b) VERIFY(test_isMuchSmallerThan(a, b))
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#define VERIFY_IS_NOT_MUCH_SMALLER_THAN(a, b) VERIFY(!test_isMuchSmallerThan(a, b))
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#define VERIFY_IS_APPROX_OR_LESS_THAN(a, b) VERIFY(test_isApproxOrLessThan(a, b))
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#define VERIFY_IS_NOT_APPROX_OR_LESS_THAN(a, b) VERIFY(!test_isApproxOrLessThan(a, b))
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#define VERIFY_IS_UNITARY(a) VERIFY(test_isUnitary(a))
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#define CALL_SUBTEST(FUNC) do { \
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g_test_stack.push_back(EI_PP_MAKE_STRING(FUNC)); \
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FUNC; \
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g_test_stack.pop_back(); \
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} while (0)
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namespace Eigen {
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template<typename T> inline typename NumTraits<T>::Real test_precision() { return NumTraits<T>::dummy_precision(); }
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template<> inline float test_precision<float>() { return 1e-3f; }
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template<> inline double test_precision<double>() { return 1e-6; }
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template<> inline long double test_precision<long double>() { return 1e-6l; }
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template<> inline float test_precision<std::complex<float> >() { return test_precision<float>(); }
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template<> inline double test_precision<std::complex<double> >() { return test_precision<double>(); }
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template<> inline long double test_precision<std::complex<long double> >() { return test_precision<long double>(); }
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inline bool test_isApprox(const short& a, const short& b)
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{ return internal::isApprox(a, b, test_precision<short>()); }
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inline bool test_isApprox(const unsigned short& a, const unsigned short& b)
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{ return internal::isApprox(a, b, test_precision<unsigned long>()); }
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inline bool test_isApprox(const unsigned int& a, const unsigned int& b)
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{ return internal::isApprox(a, b, test_precision<unsigned int>()); }
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inline bool test_isApprox(const long& a, const long& b)
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{ return internal::isApprox(a, b, test_precision<long>()); }
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inline bool test_isApprox(const unsigned long& a, const unsigned long& b)
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{ return internal::isApprox(a, b, test_precision<unsigned long>()); }
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inline bool test_isApprox(const int& a, const int& b)
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{ return internal::isApprox(a, b, test_precision<int>()); }
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inline bool test_isMuchSmallerThan(const int& a, const int& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<int>()); }
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inline bool test_isApproxOrLessThan(const int& a, const int& b)
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{ return internal::isApproxOrLessThan(a, b, test_precision<int>()); }
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inline bool test_isApprox(const float& a, const float& b)
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{ return internal::isApprox(a, b, test_precision<float>()); }
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inline bool test_isMuchSmallerThan(const float& a, const float& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<float>()); }
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inline bool test_isApproxOrLessThan(const float& a, const float& b)
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{ return internal::isApproxOrLessThan(a, b, test_precision<float>()); }
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inline bool test_isApprox(const double& a, const double& b)
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{ return internal::isApprox(a, b, test_precision<double>()); }
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inline bool test_isMuchSmallerThan(const double& a, const double& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<double>()); }
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inline bool test_isApproxOrLessThan(const double& a, const double& b)
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{ return internal::isApproxOrLessThan(a, b, test_precision<double>()); }
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#ifndef EIGEN_TEST_NO_COMPLEX
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inline bool test_isApprox(const std::complex<float>& a, const std::complex<float>& b)
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{ return internal::isApprox(a, b, test_precision<std::complex<float> >()); }
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inline bool test_isMuchSmallerThan(const std::complex<float>& a, const std::complex<float>& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<std::complex<float> >()); }
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inline bool test_isApprox(const std::complex<double>& a, const std::complex<double>& b)
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{ return internal::isApprox(a, b, test_precision<std::complex<double> >()); }
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inline bool test_isMuchSmallerThan(const std::complex<double>& a, const std::complex<double>& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<std::complex<double> >()); }
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#ifndef EIGEN_TEST_NO_LONGDOUBLE
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inline bool test_isApprox(const std::complex<long double>& a, const std::complex<long double>& b)
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{ return internal::isApprox(a, b, test_precision<std::complex<long double> >()); }
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inline bool test_isMuchSmallerThan(const std::complex<long double>& a, const std::complex<long double>& b)
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{ return internal::isMuchSmallerThan(a, b, test_precision<std::complex<long double> >()); }
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#endif
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#endif
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#ifndef EIGEN_TEST_NO_LONGDOUBLE
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inline bool test_isApprox(const long double& a, const long double& b)
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{
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bool ret = internal::isApprox(a, b, test_precision<long double>());
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if (!ret) std::cerr
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<< std::endl << " actual = " << a
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<< std::endl << " expected = " << b << std::endl << std::endl;
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return ret;
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}
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inline bool test_isMuchSmallerThan(const long double& a, const long double& b)
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{ 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 // EIGEN_TEST_NO_LONGDOUBLE
|
|
|
|
inline bool test_isApprox(const half& a, const half& b)
|
|
{ return internal::isApprox(a, b, test_precision<half>()); }
|
|
inline bool test_isMuchSmallerThan(const half& a, const half& b)
|
|
{ return internal::isMuchSmallerThan(a, b, test_precision<half>()); }
|
|
inline bool test_isApproxOrLessThan(const half& a, const half& b)
|
|
{ return internal::isApproxOrLessThan(a, b, test_precision<half>()); }
|
|
|
|
// 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 NumTraits<typename T1::RealScalar>::NonInteger test_relative_error(const EigenBase<T1> &a, const EigenBase<T2> &b)
|
|
{
|
|
using std::sqrt;
|
|
typedef typename NumTraits<typename T1::RealScalar>::NonInteger 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<typename NumTraits<T1>::Real>::NonInteger 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<typename NumTraits<T1>::Real>::NonInteger RealScalar;
|
|
return numext::sqrt(RealScalar(numext::abs2(a-b))/RealScalar((numext::mini)(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, typename Type1::Scalar* = 0) // Enabled for Eigen's type only
|
|
{
|
|
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 T&, const typename T::Scalar* = 0)
|
|
{
|
|
return test_precision<typename NumTraits<typename T::Scalar>::Real>();
|
|
}
|
|
|
|
template<typename T>
|
|
typename NumTraits<T>::Real get_test_precision(const T&,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(a) << ", 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, bool expect_equal=true);
|
|
|
|
template<typename T, typename U>
|
|
bool test_is_equal(const T& actual, const U& expected, bool expect_equal)
|
|
{
|
|
if ((actual==expected) == expect_equal)
|
|
return true;
|
|
// false:
|
|
std::cerr
|
|
<< "\n actual = " << actual
|
|
<< "\n expected " << (expect_equal ? "= " : "!=") << expected << "\n\n";
|
|
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 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<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 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
|
|
|
|
#ifdef _MSC_VER
|
|
// 4503 - decorated name length exceeded, name was truncated
|
|
#pragma warning( disable : 4503)
|
|
#endif
|