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132 lines
5.4 KiB
132 lines
5.4 KiB
// 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) 2014 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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static bool g_called;
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#define STORMEIGEN_SPECIAL_SCALAR_MULTIPLE_PLUGIN { g_called = true; }
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#include "main.h"
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template<typename MatrixType> void linearStructure(const MatrixType& m)
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{
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using std::abs;
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/* this test covers the following files:
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CwiseUnaryOp.h, CwiseBinaryOp.h, SelfCwiseBinaryOp.h
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*/
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typedef typename MatrixType::Index Index;
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typedef typename MatrixType::Scalar Scalar;
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Index rows = m.rows();
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Index cols = m.cols();
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// this test relies a lot on Random.h, and there's not much more that we can do
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// to test it, hence I consider that we will have tested Random.h
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols),
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m3(rows, cols);
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Scalar s1 = internal::random<Scalar>();
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while (abs(s1)<1e-3) s1 = internal::random<Scalar>();
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Index r = internal::random<Index>(0, rows-1),
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c = internal::random<Index>(0, cols-1);
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VERIFY_IS_APPROX(-(-m1), m1);
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VERIFY_IS_APPROX(m1+m1, 2*m1);
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VERIFY_IS_APPROX(m1+m2-m1, m2);
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VERIFY_IS_APPROX(-m2+m1+m2, m1);
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VERIFY_IS_APPROX(m1*s1, s1*m1);
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VERIFY_IS_APPROX((m1+m2)*s1, s1*m1+s1*m2);
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VERIFY_IS_APPROX((-m1+m2)*s1, -s1*m1+s1*m2);
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m3 = m2; m3 += m1;
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VERIFY_IS_APPROX(m3, m1+m2);
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m3 = m2; m3 -= m1;
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VERIFY_IS_APPROX(m3, m2-m1);
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m3 = m2; m3 *= s1;
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VERIFY_IS_APPROX(m3, s1*m2);
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if(!NumTraits<Scalar>::IsInteger)
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{
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m3 = m2; m3 /= s1;
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VERIFY_IS_APPROX(m3, m2/s1);
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}
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// again, test operator() to check const-qualification
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VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
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VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
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VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
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VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
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VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
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if(!NumTraits<Scalar>::IsInteger)
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VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);
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// use .block to disable vectorization and compare to the vectorized version
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VERIFY_IS_APPROX(m1+m1.block(0,0,rows,cols), m1+m1);
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VERIFY_IS_APPROX(m1.cwiseProduct(m1.block(0,0,rows,cols)), m1.cwiseProduct(m1));
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VERIFY_IS_APPROX(m1 - m1.block(0,0,rows,cols), m1 - m1);
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VERIFY_IS_APPROX(m1.block(0,0,rows,cols) * s1, m1 * s1);
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}
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// Make sure that complex * real and real * complex are properly optimized
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template<typename MatrixType> void real_complex(DenseIndex rows = MatrixType::RowsAtCompileTime, DenseIndex cols = MatrixType::ColsAtCompileTime)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename MatrixType::RealScalar RealScalar;
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RealScalar s = internal::random<RealScalar>();
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MatrixType m1 = MatrixType::Random(rows, cols);
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g_called = false;
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VERIFY_IS_APPROX(s*m1, Scalar(s)*m1);
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VERIFY(g_called && "real * matrix<complex> not properly optimized");
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g_called = false;
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VERIFY_IS_APPROX(m1*s, m1*Scalar(s));
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VERIFY(g_called && "matrix<complex> * real not properly optimized");
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g_called = false;
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VERIFY_IS_APPROX(m1/s, m1/Scalar(s));
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VERIFY(g_called && "matrix<complex> / real not properly optimized");
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}
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void test_linearstructure()
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{
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g_called = true;
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VERIFY(g_called); // avoid `unneeded-internal-declaration` warning.
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( linearStructure(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( linearStructure(Matrix2f()) );
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CALL_SUBTEST_3( linearStructure(Vector3d()) );
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CALL_SUBTEST_4( linearStructure(Matrix4d()) );
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CALL_SUBTEST_5( linearStructure(MatrixXcf(internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE/2))) );
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CALL_SUBTEST_6( linearStructure(MatrixXf (internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_7( linearStructure(MatrixXi (internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_8( linearStructure(MatrixXcd(internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE/2))) );
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CALL_SUBTEST_9( linearStructure(ArrayXXf (internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_10( linearStructure(ArrayXXcf (internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE), internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_11( real_complex<Matrix4cd>() );
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CALL_SUBTEST_11( real_complex<MatrixXcf>(10,10) );
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CALL_SUBTEST_11( real_complex<ArrayXXcf>(10,10) );
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}
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#ifdef STORMEIGEN_TEST_PART_4
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{
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// make sure that /=scalar and /scalar do not overflow
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// rational: 1.0/4.94e-320 overflow, but m/4.94e-320 should not
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Matrix4d m2, m3;
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m3 = m2 = Matrix4d::Random()*1e-20;
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m2 = m2 / 4.9e-320;
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VERIFY_IS_APPROX(m2.cwiseQuotient(m2), Matrix4d::Ones());
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m3 /= 4.9e-320;
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VERIFY_IS_APPROX(m3.cwiseQuotient(m3), Matrix4d::Ones());
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}
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#endif
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}
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