Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 1 | // This file is part of Eigen, a lightweight C++ template library |
| 2 | // for linear algebra. |
| 3 | // |
| 4 | // Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com> |
| 5 | // |
| 6 | // This Source Code Form is subject to the terms of the Mozilla |
| 7 | // Public License v. 2.0. If a copy of the MPL was not distributed |
| 8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
| 9 | |
| 10 | #define EIGEN_NO_STATIC_ASSERT // otherwise we fail at compile time on unused paths |
| 11 | #include "main.h" |
| 12 | |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 13 | template<typename MatrixType, typename Index, typename Scalar> |
| 14 | typename Eigen::internal::enable_if<!NumTraits<typename MatrixType::Scalar>::IsComplex,typename MatrixType::Scalar>::type |
| 15 | block_real_only(const MatrixType &m1, Index r1, Index r2, Index c1, Index c2, const Scalar& s1) { |
| 16 | // check cwise-Functions: |
| 17 | VERIFY_IS_APPROX(m1.row(r1).cwiseMax(s1), m1.cwiseMax(s1).row(r1)); |
| 18 | VERIFY_IS_APPROX(m1.col(c1).cwiseMin(s1), m1.cwiseMin(s1).col(c1)); |
| 19 | |
| 20 | VERIFY_IS_APPROX(m1.block(r1,c1,r2-r1+1,c2-c1+1).cwiseMin(s1), m1.cwiseMin(s1).block(r1,c1,r2-r1+1,c2-c1+1)); |
| 21 | VERIFY_IS_APPROX(m1.block(r1,c1,r2-r1+1,c2-c1+1).cwiseMax(s1), m1.cwiseMax(s1).block(r1,c1,r2-r1+1,c2-c1+1)); |
| 22 | |
| 23 | return Scalar(0); |
| 24 | } |
| 25 | |
| 26 | template<typename MatrixType, typename Index, typename Scalar> |
| 27 | typename Eigen::internal::enable_if<NumTraits<typename MatrixType::Scalar>::IsComplex,typename MatrixType::Scalar>::type |
| 28 | block_real_only(const MatrixType &, Index, Index, Index, Index, const Scalar&) { |
| 29 | return Scalar(0); |
| 30 | } |
| 31 | |
| 32 | |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 33 | template<typename MatrixType> void block(const MatrixType& m) |
| 34 | { |
| 35 | typedef typename MatrixType::Index Index; |
| 36 | typedef typename MatrixType::Scalar Scalar; |
| 37 | typedef typename MatrixType::RealScalar RealScalar; |
| 38 | typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType; |
| 39 | typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime> RowVectorType; |
| 40 | typedef Matrix<Scalar, Dynamic, Dynamic> DynamicMatrixType; |
| 41 | typedef Matrix<Scalar, Dynamic, 1> DynamicVectorType; |
| 42 | |
| 43 | Index rows = m.rows(); |
| 44 | Index cols = m.cols(); |
| 45 | |
| 46 | MatrixType m1 = MatrixType::Random(rows, cols), |
| 47 | m1_copy = m1, |
| 48 | m2 = MatrixType::Random(rows, cols), |
| 49 | m3(rows, cols), |
| 50 | ones = MatrixType::Ones(rows, cols); |
| 51 | VectorType v1 = VectorType::Random(rows); |
| 52 | |
| 53 | Scalar s1 = internal::random<Scalar>(); |
| 54 | |
| 55 | Index r1 = internal::random<Index>(0,rows-1); |
| 56 | Index r2 = internal::random<Index>(r1,rows-1); |
| 57 | Index c1 = internal::random<Index>(0,cols-1); |
| 58 | Index c2 = internal::random<Index>(c1,cols-1); |
| 59 | |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 60 | block_real_only(m1, r1, r2, c1, c1, s1); |
| 61 | |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 62 | //check row() and col() |
| 63 | VERIFY_IS_EQUAL(m1.col(c1).transpose(), m1.transpose().row(c1)); |
| 64 | //check operator(), both constant and non-constant, on row() and col() |
| 65 | m1 = m1_copy; |
| 66 | m1.row(r1) += s1 * m1_copy.row(r2); |
| 67 | VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + s1 * m1_copy.row(r2)); |
| 68 | // check nested block xpr on lhs |
| 69 | m1.row(r1).row(0) += s1 * m1_copy.row(r2); |
| 70 | VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + Scalar(2) * s1 * m1_copy.row(r2)); |
| 71 | m1 = m1_copy; |
| 72 | m1.col(c1) += s1 * m1_copy.col(c2); |
| 73 | VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + s1 * m1_copy.col(c2)); |
| 74 | m1.col(c1).col(0) += s1 * m1_copy.col(c2); |
| 75 | VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + Scalar(2) * s1 * m1_copy.col(c2)); |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 76 | |
| 77 | |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 78 | //check block() |
| 79 | Matrix<Scalar,Dynamic,Dynamic> b1(1,1); b1(0,0) = m1(r1,c1); |
| 80 | |
| 81 | RowVectorType br1(m1.block(r1,0,1,cols)); |
| 82 | VectorType bc1(m1.block(0,c1,rows,1)); |
| 83 | VERIFY_IS_EQUAL(b1, m1.block(r1,c1,1,1)); |
| 84 | VERIFY_IS_EQUAL(m1.row(r1), br1); |
| 85 | VERIFY_IS_EQUAL(m1.col(c1), bc1); |
| 86 | //check operator(), both constant and non-constant, on block() |
| 87 | m1.block(r1,c1,r2-r1+1,c2-c1+1) = s1 * m2.block(0, 0, r2-r1+1,c2-c1+1); |
| 88 | m1.block(r1,c1,r2-r1+1,c2-c1+1)(r2-r1,c2-c1) = m2.block(0, 0, r2-r1+1,c2-c1+1)(0,0); |
| 89 | |
| 90 | enum { |
| 91 | BlockRows = 2, |
| 92 | BlockCols = 5 |
| 93 | }; |
| 94 | if (rows>=5 && cols>=8) |
| 95 | { |
| 96 | // test fixed block() as lvalue |
| 97 | m1.template block<BlockRows,BlockCols>(1,1) *= s1; |
| 98 | // test operator() on fixed block() both as constant and non-constant |
| 99 | m1.template block<BlockRows,BlockCols>(1,1)(0, 3) = m1.template block<2,5>(1,1)(1,2); |
| 100 | // check that fixed block() and block() agree |
| 101 | Matrix<Scalar,Dynamic,Dynamic> b = m1.template block<BlockRows,BlockCols>(3,3); |
| 102 | VERIFY_IS_EQUAL(b, m1.block(3,3,BlockRows,BlockCols)); |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 103 | |
| 104 | // same tests with mixed fixed/dynamic size |
| 105 | m1.template block<BlockRows,Dynamic>(1,1,BlockRows,BlockCols) *= s1; |
| 106 | m1.template block<BlockRows,Dynamic>(1,1,BlockRows,BlockCols)(0,3) = m1.template block<2,5>(1,1)(1,2); |
| 107 | Matrix<Scalar,Dynamic,Dynamic> b2 = m1.template block<Dynamic,BlockCols>(3,3,2,5); |
| 108 | VERIFY_IS_EQUAL(b2, m1.block(3,3,BlockRows,BlockCols)); |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 109 | } |
| 110 | |
| 111 | if (rows>2) |
| 112 | { |
| 113 | // test sub vectors |
| 114 | VERIFY_IS_EQUAL(v1.template head<2>(), v1.block(0,0,2,1)); |
| 115 | VERIFY_IS_EQUAL(v1.template head<2>(), v1.head(2)); |
| 116 | VERIFY_IS_EQUAL(v1.template head<2>(), v1.segment(0,2)); |
| 117 | VERIFY_IS_EQUAL(v1.template head<2>(), v1.template segment<2>(0)); |
| 118 | Index i = rows-2; |
| 119 | VERIFY_IS_EQUAL(v1.template tail<2>(), v1.block(i,0,2,1)); |
| 120 | VERIFY_IS_EQUAL(v1.template tail<2>(), v1.tail(2)); |
| 121 | VERIFY_IS_EQUAL(v1.template tail<2>(), v1.segment(i,2)); |
| 122 | VERIFY_IS_EQUAL(v1.template tail<2>(), v1.template segment<2>(i)); |
| 123 | i = internal::random<Index>(0,rows-2); |
| 124 | VERIFY_IS_EQUAL(v1.segment(i,2), v1.template segment<2>(i)); |
| 125 | } |
| 126 | |
| 127 | // stress some basic stuffs with block matrices |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 128 | VERIFY(numext::real(ones.col(c1).sum()) == RealScalar(rows)); |
| 129 | VERIFY(numext::real(ones.row(r1).sum()) == RealScalar(cols)); |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 130 | |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 131 | VERIFY(numext::real(ones.col(c1).dot(ones.col(c2))) == RealScalar(rows)); |
| 132 | VERIFY(numext::real(ones.row(r1).dot(ones.row(r2))) == RealScalar(cols)); |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 133 | |
| 134 | // now test some block-inside-of-block. |
| 135 | |
| 136 | // expressions with direct access |
| 137 | VERIFY_IS_EQUAL( (m1.block(r1,c1,rows-r1,cols-c1).block(r2-r1,c2-c1,rows-r2,cols-c2)) , (m1.block(r2,c2,rows-r2,cols-c2)) ); |
| 138 | VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , (m1.row(r1).segment(c1,c2-c1+1)) ); |
| 139 | VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0)) , (m1.col(c1).segment(r1,r2-r1+1)) ); |
| 140 | VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0)) , (m1.row(r1).segment(c1,c2-c1+1)).transpose() ); |
| 141 | VERIFY_IS_EQUAL( (m1.transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0)) , (m1.row(r1).segment(c1,c2-c1+1)).transpose() ); |
| 142 | |
| 143 | // expressions without direct access |
| 144 | VERIFY_IS_EQUAL( ((m1+m2).block(r1,c1,rows-r1,cols-c1).block(r2-r1,c2-c1,rows-r2,cols-c2)) , ((m1+m2).block(r2,c2,rows-r2,cols-c2)) ); |
| 145 | VERIFY_IS_EQUAL( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)) ); |
| 146 | VERIFY_IS_EQUAL( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).col(0)) , ((m1+m2).col(c1).segment(r1,r2-r1+1)) ); |
| 147 | VERIFY_IS_EQUAL( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)).transpose() ); |
| 148 | VERIFY_IS_EQUAL( ((m1+m2).transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)).transpose() ); |
| 149 | |
| 150 | // evaluation into plain matrices from expressions with direct access (stress MapBase) |
| 151 | DynamicMatrixType dm; |
| 152 | DynamicVectorType dv; |
| 153 | dm.setZero(); |
| 154 | dm = m1.block(r1,c1,rows-r1,cols-c1).block(r2-r1,c2-c1,rows-r2,cols-c2); |
| 155 | VERIFY_IS_EQUAL(dm, (m1.block(r2,c2,rows-r2,cols-c2))); |
| 156 | dm.setZero(); |
| 157 | dv.setZero(); |
| 158 | dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0).transpose(); |
| 159 | dv = m1.row(r1).segment(c1,c2-c1+1); |
| 160 | VERIFY_IS_EQUAL(dv, dm); |
| 161 | dm.setZero(); |
| 162 | dv.setZero(); |
| 163 | dm = m1.col(c1).segment(r1,r2-r1+1); |
| 164 | dv = m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0); |
| 165 | VERIFY_IS_EQUAL(dv, dm); |
| 166 | dm.setZero(); |
| 167 | dv.setZero(); |
| 168 | dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0); |
| 169 | dv = m1.row(r1).segment(c1,c2-c1+1); |
| 170 | VERIFY_IS_EQUAL(dv, dm); |
| 171 | dm.setZero(); |
| 172 | dv.setZero(); |
| 173 | dm = m1.row(r1).segment(c1,c2-c1+1).transpose(); |
| 174 | dv = m1.transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0); |
| 175 | VERIFY_IS_EQUAL(dv, dm); |
| 176 | } |
| 177 | |
| 178 | |
| 179 | template<typename MatrixType> |
| 180 | void compare_using_data_and_stride(const MatrixType& m) |
| 181 | { |
| 182 | typedef typename MatrixType::Index Index; |
| 183 | Index rows = m.rows(); |
| 184 | Index cols = m.cols(); |
| 185 | Index size = m.size(); |
| 186 | Index innerStride = m.innerStride(); |
| 187 | Index outerStride = m.outerStride(); |
| 188 | Index rowStride = m.rowStride(); |
| 189 | Index colStride = m.colStride(); |
| 190 | const typename MatrixType::Scalar* data = m.data(); |
| 191 | |
| 192 | for(int j=0;j<cols;++j) |
| 193 | for(int i=0;i<rows;++i) |
| 194 | VERIFY(m.coeff(i,j) == data[i*rowStride + j*colStride]); |
| 195 | |
| 196 | if(!MatrixType::IsVectorAtCompileTime) |
| 197 | { |
| 198 | for(int j=0;j<cols;++j) |
| 199 | for(int i=0;i<rows;++i) |
| 200 | VERIFY(m.coeff(i,j) == data[(MatrixType::Flags&RowMajorBit) |
| 201 | ? i*outerStride + j*innerStride |
| 202 | : j*outerStride + i*innerStride]); |
| 203 | } |
| 204 | |
| 205 | if(MatrixType::IsVectorAtCompileTime) |
| 206 | { |
| 207 | VERIFY(innerStride == int((&m.coeff(1))-(&m.coeff(0)))); |
| 208 | for (int i=0;i<size;++i) |
| 209 | VERIFY(m.coeff(i) == data[i*innerStride]); |
| 210 | } |
| 211 | } |
| 212 | |
| 213 | template<typename MatrixType> |
| 214 | void data_and_stride(const MatrixType& m) |
| 215 | { |
| 216 | typedef typename MatrixType::Index Index; |
| 217 | Index rows = m.rows(); |
| 218 | Index cols = m.cols(); |
| 219 | |
| 220 | Index r1 = internal::random<Index>(0,rows-1); |
| 221 | Index r2 = internal::random<Index>(r1,rows-1); |
| 222 | Index c1 = internal::random<Index>(0,cols-1); |
| 223 | Index c2 = internal::random<Index>(c1,cols-1); |
| 224 | |
| 225 | MatrixType m1 = MatrixType::Random(rows, cols); |
| 226 | compare_using_data_and_stride(m1.block(r1, c1, r2-r1+1, c2-c1+1)); |
| 227 | compare_using_data_and_stride(m1.transpose().block(c1, r1, c2-c1+1, r2-r1+1)); |
| 228 | compare_using_data_and_stride(m1.row(r1)); |
| 229 | compare_using_data_and_stride(m1.col(c1)); |
| 230 | compare_using_data_and_stride(m1.row(r1).transpose()); |
| 231 | compare_using_data_and_stride(m1.col(c1).transpose()); |
| 232 | } |
| 233 | |
| 234 | void test_block() |
| 235 | { |
| 236 | for(int i = 0; i < g_repeat; i++) { |
| 237 | CALL_SUBTEST_1( block(Matrix<float, 1, 1>()) ); |
| 238 | CALL_SUBTEST_2( block(Matrix4d()) ); |
| 239 | CALL_SUBTEST_3( block(MatrixXcf(3, 3)) ); |
| 240 | CALL_SUBTEST_4( block(MatrixXi(8, 12)) ); |
| 241 | CALL_SUBTEST_5( block(MatrixXcd(20, 20)) ); |
| 242 | CALL_SUBTEST_6( block(MatrixXf(20, 20)) ); |
| 243 | |
| 244 | CALL_SUBTEST_8( block(Matrix<float,Dynamic,4>(3, 4)) ); |
| 245 | |
| 246 | #ifndef EIGEN_DEFAULT_TO_ROW_MAJOR |
| 247 | CALL_SUBTEST_6( data_and_stride(MatrixXf(internal::random(5,50), internal::random(5,50))) ); |
| 248 | CALL_SUBTEST_7( data_and_stride(Matrix<int,Dynamic,Dynamic,RowMajor>(internal::random(5,50), internal::random(5,50))) ); |
| 249 | #endif |
| 250 | } |
| 251 | } |