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105 lines
3.4 KiB
C++
105 lines
3.4 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) 2012 Chen-Pang He <jdh8@ms63.hinet.net>
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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 "matrix_functions.h"
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template <typename T>
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void test2dRotation(double tol)
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{
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Matrix<T,2,2> A, B, C;
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T angle, c, s;
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A << 0, 1, -1, 0;
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for (int i = 0; i <= 20; i++) {
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angle = pow(10, (i-10) / 5.);
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c = std::cos(angle);
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s = std::sin(angle);
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B << c, s, -s, c;
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C = A.pow(std::ldexp(angle, 1) / M_PI);
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std::cout << "test2dRotation: i = " << i << " error powerm = " << relerr(C, B) << "\n";
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VERIFY(C.isApprox(B, T(tol)));
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}
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}
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template <typename T>
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void test2dHyperbolicRotation(double tol)
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{
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Matrix<std::complex<T>,2,2> A, B, C;
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T angle, ch = std::cosh(1);
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std::complex<T> ish(0, std::sinh(1));
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A << ch, ish, -ish, ch;
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for (int i = 0; i <= 20; i++) {
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angle = std::ldexp(T(i-10), -1);
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ch = std::cosh(angle);
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ish = std::complex<T>(0, std::sinh(angle));
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B << ch, ish, -ish, ch;
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C = A.pow(angle);
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std::cout << "test2dHyperbolicRotation: i = " << i << " error powerm = " << relerr(C, B) << "\n";
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VERIFY(C.isApprox(B, T(tol)));
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}
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}
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template <typename MatrixType>
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void testExponentLaws(const MatrixType& m, double tol)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typename MatrixType::Index rows = m.rows();
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typename MatrixType::Index cols = m.cols();
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MatrixType m1, m1x, m1y, m2, m3;
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RealScalar x = internal::random<RealScalar>(), y = internal::random<RealScalar>();
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double err[3];
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for(int i = 0; i < g_repeat; i++) {
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generateTestMatrix<MatrixType>::run(m1, m.rows());
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m1x = m1.pow(x);
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m1y = m1.pow(y);
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m2 = m1.pow(x + y);
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m3 = m1x * m1y;
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err[0] = relerr(m2, m3);
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VERIFY(m2.isApprox(m3, static_cast<RealScalar>(tol)));
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m2 = m1.pow(x * y);
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m3 = m1x.pow(y);
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err[1] = relerr(m2, m3);
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VERIFY(m2.isApprox(m3, static_cast<RealScalar>(tol)));
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m2 = (std::abs(x) * m1).pow(y);
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m3 = std::pow(std::abs(x), y) * m1y;
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err[2] = relerr(m2, m3);
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VERIFY(m2.isApprox(m3, static_cast<RealScalar>(tol)));
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std::cout << "testExponentLaws: error powerm = " << err[0] << " " << err[1] << " " << err[2] << "\n";
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}
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}
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void test_matrix_power()
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{
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CALL_SUBTEST_2(test2dRotation<double>(1e-13));
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CALL_SUBTEST_1(test2dRotation<float>(2e-5)); // was 1e-5, relaxed for clang 2.8 / linux / x86-64
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CALL_SUBTEST_8(test2dRotation<long double>(1e-13));
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CALL_SUBTEST_2(test2dHyperbolicRotation<double>(1e-14));
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CALL_SUBTEST_1(test2dHyperbolicRotation<float>(1e-5));
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CALL_SUBTEST_8(test2dHyperbolicRotation<long double>(1e-14));
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CALL_SUBTEST_2(testExponentLaws(Matrix2d(), 1e-13));
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CALL_SUBTEST_7(testExponentLaws(Matrix<double,3,3,RowMajor>(), 1e-13));
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CALL_SUBTEST_3(testExponentLaws(Matrix4cd(), 1e-13));
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CALL_SUBTEST_4(testExponentLaws(MatrixXd(8,8), 1e-13));
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CALL_SUBTEST_1(testExponentLaws(Matrix2f(), 1e-4));
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CALL_SUBTEST_5(testExponentLaws(Matrix3cf(), 1e-4));
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CALL_SUBTEST_1(testExponentLaws(Matrix4f(), 1e-4));
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CALL_SUBTEST_6(testExponentLaws(MatrixXf(8,8), 1e-4));
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CALL_SUBTEST_9(testExponentLaws(Matrix<long double,Dynamic,Dynamic>(7,7), 1e-13));
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}
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