Squashed 'third_party/eigen/' content from commit 61d72f6
Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/test/eigen2/main.h b/test/eigen2/main.h
new file mode 100644
index 0000000..ad2ba19
--- /dev/null
+++ b/test/eigen2/main.h
@@ -0,0 +1,399 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2008 Gael Guennebaud <g.gael@free.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 <ctime>
+#include <iostream>
+#include <string>
+#include <vector>
+
+#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;
+}
+
+#define EI_PP_MAKE_STRING2(S) #S
+#define EI_PP_MAKE_STRING(S) EI_PP_MAKE_STRING2(S)
+
+#define EI_PP_CAT2(a,b) a ## b
+#define EI_PP_CAT(a,b) EI_PP_CAT2(a,b)
+
+#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 raise in a destructor.
+ static bool no_more_assert = false;
+
+ 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 raised 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
+ {
+ static bool ei_push_assert = false;
+ static std::vector<std::string> eigen_assert_list;
+ }
+
+ #define eigen_assert(a) \
+ if( (!(a)) && (!no_more_assert) ) \
+ { \
+ Eigen::no_more_assert = true; \
+ throw Eigen::eigen_assert_exception(); \
+ } \
+ else if (Eigen::ei_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; \
+ try { \
+ Eigen::eigen_assert_list.clear(); \
+ Eigen::ei_push_assert = true; \
+ a; \
+ Eigen::ei_push_assert = false; \
+ std::cerr << "One of the following asserts should have been raised:\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 e) { \
+ Eigen::ei_push_assert = false; VERIFY(true); \
+ } \
+ }
+
+ #else // EIGEN_DEBUG_ASSERTS
+
+ #undef eigen_assert
+
+ // 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; \
+ throw Eigen::eigen_assert_exception(); \
+ }
+
+ #define VERIFY_RAISES_ASSERT(a) { \
+ Eigen::no_more_assert = false; \
+ try { a; VERIFY(Eigen::should_raise_an_assert && # a); } \
+ catch (Eigen::eigen_assert_exception e) { VERIFY(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
+#define EIGEN_NICE_RANDOM
+#include <Eigen/Array>
+
+
+#define VERIFY(a) do { if (!(a)) { \
+ std::cerr << "Test " << g_test_stack.back() << " failed in "EI_PP_MAKE_STRING(__FILE__) << " (" << EI_PP_MAKE_STRING(__LINE__) << ")" \
+ << std::endl << " " << EI_PP_MAKE_STRING(a) << std::endl << std::endl; \
+ abort(); \
+ } } while (0)
+
+#define VERIFY_IS_APPROX(a, b) VERIFY(test_ei_isApprox(a, b))
+#define VERIFY_IS_NOT_APPROX(a, b) VERIFY(!test_ei_isApprox(a, b))
+#define VERIFY_IS_MUCH_SMALLER_THAN(a, b) VERIFY(test_ei_isMuchSmallerThan(a, b))
+#define VERIFY_IS_NOT_MUCH_SMALLER_THAN(a, b) VERIFY(!test_ei_isMuchSmallerThan(a, b))
+#define VERIFY_IS_APPROX_OR_LESS_THAN(a, b) VERIFY(test_ei_isApproxOrLessThan(a, b))
+#define VERIFY_IS_NOT_APPROX_OR_LESS_THAN(a, b) VERIFY(!test_ei_isApproxOrLessThan(a, b))
+
+#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();
+template<> inline int test_precision<int>() { return 0; }
+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_ei_isApprox(const int& a, const int& b)
+{ return ei_isApprox(a, b, test_precision<int>()); }
+inline bool test_ei_isMuchSmallerThan(const int& a, const int& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<int>()); }
+inline bool test_ei_isApproxOrLessThan(const int& a, const int& b)
+{ return ei_isApproxOrLessThan(a, b, test_precision<int>()); }
+
+inline bool test_ei_isApprox(const float& a, const float& b)
+{ return ei_isApprox(a, b, test_precision<float>()); }
+inline bool test_ei_isMuchSmallerThan(const float& a, const float& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<float>()); }
+inline bool test_ei_isApproxOrLessThan(const float& a, const float& b)
+{ return ei_isApproxOrLessThan(a, b, test_precision<float>()); }
+
+inline bool test_ei_isApprox(const double& a, const double& b)
+{ return ei_isApprox(a, b, test_precision<double>()); }
+inline bool test_ei_isMuchSmallerThan(const double& a, const double& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<double>()); }
+inline bool test_ei_isApproxOrLessThan(const double& a, const double& b)
+{ return ei_isApproxOrLessThan(a, b, test_precision<double>()); }
+
+inline bool test_ei_isApprox(const std::complex<float>& a, const std::complex<float>& b)
+{ return ei_isApprox(a, b, test_precision<std::complex<float> >()); }
+inline bool test_ei_isMuchSmallerThan(const std::complex<float>& a, const std::complex<float>& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<std::complex<float> >()); }
+
+inline bool test_ei_isApprox(const std::complex<double>& a, const std::complex<double>& b)
+{ return ei_isApprox(a, b, test_precision<std::complex<double> >()); }
+inline bool test_ei_isMuchSmallerThan(const std::complex<double>& a, const std::complex<double>& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<std::complex<double> >()); }
+
+inline bool test_ei_isApprox(const long double& a, const long double& b)
+{ return ei_isApprox(a, b, test_precision<long double>()); }
+inline bool test_ei_isMuchSmallerThan(const long double& a, const long double& b)
+{ return ei_isMuchSmallerThan(a, b, test_precision<long double>()); }
+inline bool test_ei_isApproxOrLessThan(const long double& a, const long double& b)
+{ return ei_isApproxOrLessThan(a, b, test_precision<long double>()); }
+
+template<typename Type1, typename Type2>
+inline bool test_ei_isApprox(const Type1& a, const Type2& b)
+{
+ return a.isApprox(b, test_precision<typename Type1::Scalar>());
+}
+
+template<typename Derived1, typename Derived2>
+inline bool test_ei_isMuchSmallerThan(const MatrixBase<Derived1>& m1,
+ const MatrixBase<Derived2>& m2)
+{
+ return m1.isMuchSmallerThan(m2, test_precision<typename ei_traits<Derived1>::Scalar>());
+}
+
+template<typename Derived>
+inline bool test_ei_isMuchSmallerThan(const MatrixBase<Derived>& m,
+ const typename NumTraits<typename ei_traits<Derived>::Scalar>::Real& s)
+{
+ return m.isMuchSmallerThan(s, test_precision<typename ei_traits<Derived>::Scalar>());
+}
+
+} // 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 of the main test function
+void EI_PP_CAT(test_,EIGEN_TEST_FUNC)();
+
+using namespace Eigen;
+
+#ifdef EIGEN_TEST_PART_1
+#define CALL_SUBTEST_1(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_1(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_2
+#define CALL_SUBTEST_2(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_2(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_3
+#define CALL_SUBTEST_3(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_3(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_4
+#define CALL_SUBTEST_4(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_4(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_5
+#define CALL_SUBTEST_5(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_5(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_6
+#define CALL_SUBTEST_6(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_6(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_7
+#define CALL_SUBTEST_7(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_7(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_8
+#define CALL_SUBTEST_8(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_8(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_9
+#define CALL_SUBTEST_9(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_9(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_10
+#define CALL_SUBTEST_10(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_10(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_11
+#define CALL_SUBTEST_11(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_11(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_12
+#define CALL_SUBTEST_12(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_12(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_13
+#define CALL_SUBTEST_13(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_13(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_14
+#define CALL_SUBTEST_14(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_14(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_15
+#define CALL_SUBTEST_15(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_15(FUNC)
+#endif
+
+#ifdef EIGEN_TEST_PART_16
+#define CALL_SUBTEST_16(FUNC) CALL_SUBTEST(FUNC)
+#else
+#define CALL_SUBTEST_16(FUNC)
+#endif
+
+
+
+int main(int argc, char *argv[])
+{
+ bool has_set_repeat = false;
+ bool has_set_seed = false;
+ bool need_help = false;
+ unsigned int seed = 0;
+ int repeat = DEFAULT_REPEAT;
+
+ for(int i = 1; i < argc; i++)
+ {
+ if(argv[i][0] == 'r')
+ {
+ if(has_set_repeat)
+ {
+ std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl;
+ return 1;
+ }
+ repeat = std::atoi(argv[i]+1);
+ has_set_repeat = true;
+ if(repeat <= 0)
+ {
+ std::cout << "Invalid \'repeat\' value " << argv[i]+1 << std::endl;
+ return 1;
+ }
+ }
+ else if(argv[i][0] == 's')
+ {
+ if(has_set_seed)
+ {
+ std::cout << "Argument " << argv[i] << " conflicting with a former argument" << std::endl;
+ return 1;
+ }
+ seed = int(std::strtoul(argv[i]+1, 0, 10));
+ has_set_seed = true;
+ bool ok = seed!=0;
+ if(!ok)
+ {
+ std::cout << "Invalid \'seed\' value " << argv[i]+1 << std::endl;
+ return 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;
+ return 1;
+ }
+
+ if(!has_set_seed) seed = (unsigned int) std::time(NULL);
+ if(!has_set_repeat) repeat = DEFAULT_REPEAT;
+
+ std::cout << "Initializing random number generator with seed " << seed << std::endl;
+ std::srand(seed);
+ std::cout << "Repeating each test " << repeat << " times" << std::endl;
+
+ Eigen::g_repeat = repeat;
+ Eigen::g_test_stack.push_back(EI_PP_MAKE_STRING(EIGEN_TEST_FUNC));
+
+ EI_PP_CAT(test_,EIGEN_TEST_FUNC)();
+ return 0;
+}
+
+
+