317 lines
14 KiB
C++
317 lines
14 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) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
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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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#define EIGEN_NO_STATIC_ASSERT // otherwise we fail at compile time on unused paths
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#include "main.h"
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template<typename MatrixType, typename Index, typename Scalar>
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typename Eigen::internal::enable_if<!NumTraits<typename MatrixType::Scalar>::IsComplex,typename MatrixType::Scalar>::type
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block_real_only(const MatrixType &m1, Index r1, Index r2, Index c1, Index c2, const Scalar& s1) {
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// check cwise-Functions:
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VERIFY_IS_APPROX(m1.row(r1).cwiseMax(s1), m1.cwiseMax(s1).row(r1));
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VERIFY_IS_APPROX(m1.col(c1).cwiseMin(s1), m1.cwiseMin(s1).col(c1));
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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));
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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));
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return Scalar(0);
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}
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template<typename MatrixType, typename Index, typename Scalar>
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typename Eigen::internal::enable_if<NumTraits<typename MatrixType::Scalar>::IsComplex,typename MatrixType::Scalar>::type
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block_real_only(const MatrixType &, Index, Index, Index, Index, const Scalar&) {
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return Scalar(0);
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}
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// Check at compile-time that T1==T2, and at runtime-time that a==b
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template<typename T1,typename T2>
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typename internal::enable_if<internal::is_same<T1,T2>::value,bool>::type
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is_same_block(const T1& a, const T2& b)
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{
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return a.isApprox(b);
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}
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template<typename MatrixType> void block(const MatrixType& m)
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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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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime> RowVectorType;
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typedef Matrix<Scalar, Dynamic, Dynamic, MatrixType::IsRowMajor?RowMajor:ColMajor> DynamicMatrixType;
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typedef Matrix<Scalar, Dynamic, 1> DynamicVectorType;
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Index rows = m.rows();
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Index cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m1_copy = m1,
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m2 = MatrixType::Random(rows, cols),
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m3(rows, cols),
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ones = MatrixType::Ones(rows, cols);
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VectorType v1 = VectorType::Random(rows);
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Scalar s1 = internal::random<Scalar>();
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Index r1 = internal::random<Index>(0,rows-1);
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Index r2 = internal::random<Index>(r1,rows-1);
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Index c1 = internal::random<Index>(0,cols-1);
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Index c2 = internal::random<Index>(c1,cols-1);
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block_real_only(m1, r1, r2, c1, c1, s1);
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//check row() and col()
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VERIFY_IS_EQUAL(m1.col(c1).transpose(), m1.transpose().row(c1));
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//check operator(), both constant and non-constant, on row() and col()
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m1 = m1_copy;
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m1.row(r1) += s1 * m1_copy.row(r2);
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VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + s1 * m1_copy.row(r2));
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// check nested block xpr on lhs
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m1.row(r1).row(0) += s1 * m1_copy.row(r2);
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VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + Scalar(2) * s1 * m1_copy.row(r2));
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m1 = m1_copy;
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m1.col(c1) += s1 * m1_copy.col(c2);
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VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + s1 * m1_copy.col(c2));
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m1.col(c1).col(0) += s1 * m1_copy.col(c2);
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VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + Scalar(2) * s1 * m1_copy.col(c2));
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//check block()
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Matrix<Scalar,Dynamic,Dynamic> b1(1,1); b1(0,0) = m1(r1,c1);
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RowVectorType br1(m1.block(r1,0,1,cols));
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VectorType bc1(m1.block(0,c1,rows,1));
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VERIFY_IS_EQUAL(b1, m1.block(r1,c1,1,1));
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VERIFY_IS_EQUAL(m1.row(r1), br1);
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VERIFY_IS_EQUAL(m1.col(c1), bc1);
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//check operator(), both constant and non-constant, on block()
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m1.block(r1,c1,r2-r1+1,c2-c1+1) = s1 * m2.block(0, 0, r2-r1+1,c2-c1+1);
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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);
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const Index BlockRows = 2;
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const Index BlockCols = 5;
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if (rows>=5 && cols>=8)
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{
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// test fixed block() as lvalue
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m1.template block<BlockRows,BlockCols>(1,1) *= s1;
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// test operator() on fixed block() both as constant and non-constant
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m1.template block<BlockRows,BlockCols>(1,1)(0, 3) = m1.template block<2,5>(1,1)(1,2);
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// check that fixed block() and block() agree
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Matrix<Scalar,Dynamic,Dynamic> b = m1.template block<BlockRows,BlockCols>(3,3);
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VERIFY_IS_EQUAL(b, m1.block(3,3,BlockRows,BlockCols));
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// same tests with mixed fixed/dynamic size
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m1.template block<BlockRows,Dynamic>(1,1,BlockRows,BlockCols) *= s1;
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m1.template block<BlockRows,Dynamic>(1,1,BlockRows,BlockCols)(0,3) = m1.template block<2,5>(1,1)(1,2);
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Matrix<Scalar,Dynamic,Dynamic> b2 = m1.template block<Dynamic,BlockCols>(3,3,2,5);
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VERIFY_IS_EQUAL(b2, m1.block(3,3,BlockRows,BlockCols));
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VERIFY(is_same_block(m1.block(3,3,BlockRows,BlockCols), m1.block(3,3,fix<Dynamic>(BlockRows),fix<Dynamic>(BlockCols))));
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VERIFY(is_same_block(m1.template block<BlockRows,Dynamic>(1,1,BlockRows,BlockCols), m1.block(1,1,fix<BlockRows>,BlockCols)));
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VERIFY(is_same_block(m1.template block<BlockRows,BlockCols>(1,1,BlockRows,BlockCols), m1.block(1,1,fix<BlockRows>(),fix<BlockCols>)));
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VERIFY(is_same_block(m1.template block<BlockRows,BlockCols>(1,1,BlockRows,BlockCols), m1.block(1,1,fix<BlockRows>,fix<BlockCols>(BlockCols))));
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}
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if (rows>2)
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{
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// test sub vectors
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VERIFY_IS_EQUAL(v1.template head<2>(), v1.block(0,0,2,1));
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VERIFY_IS_EQUAL(v1.template head<2>(), v1.head(2));
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VERIFY_IS_EQUAL(v1.template head<2>(), v1.segment(0,2));
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VERIFY_IS_EQUAL(v1.template head<2>(), v1.template segment<2>(0));
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Index i = rows-2;
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VERIFY_IS_EQUAL(v1.template tail<2>(), v1.block(i,0,2,1));
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VERIFY_IS_EQUAL(v1.template tail<2>(), v1.tail(2));
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VERIFY_IS_EQUAL(v1.template tail<2>(), v1.segment(i,2));
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VERIFY_IS_EQUAL(v1.template tail<2>(), v1.template segment<2>(i));
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i = internal::random<Index>(0,rows-2);
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VERIFY_IS_EQUAL(v1.segment(i,2), v1.template segment<2>(i));
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}
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// stress some basic stuffs with block matrices
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VERIFY(numext::real(ones.col(c1).sum()) == RealScalar(rows));
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VERIFY(numext::real(ones.row(r1).sum()) == RealScalar(cols));
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VERIFY(numext::real(ones.col(c1).dot(ones.col(c2))) == RealScalar(rows));
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VERIFY(numext::real(ones.row(r1).dot(ones.row(r2))) == RealScalar(cols));
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// check that linear acccessors works on blocks
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m1 = m1_copy;
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if((MatrixType::Flags&RowMajorBit)==0)
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VERIFY_IS_EQUAL(m1.leftCols(c1).coeff(r1+c1*rows), m1(r1,c1));
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else
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VERIFY_IS_EQUAL(m1.topRows(r1).coeff(c1+r1*cols), m1(r1,c1));
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// now test some block-inside-of-block.
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// expressions with direct access
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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)) );
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VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , (m1.row(r1).segment(c1,c2-c1+1)) );
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VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0)) , (m1.col(c1).segment(r1,r2-r1+1)) );
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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() );
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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() );
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// expressions without direct access
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VERIFY_IS_APPROX( ((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)) );
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VERIFY_IS_APPROX( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)) );
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VERIFY_IS_APPROX( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , ((m1+m2).eval().row(r1).segment(c1,c2-c1+1)) );
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VERIFY_IS_APPROX( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).col(0)) , ((m1+m2).col(c1).segment(r1,r2-r1+1)) );
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VERIFY_IS_APPROX( ((m1+m2).block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)).transpose() );
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VERIFY_IS_APPROX( ((m1+m2).transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0)) , ((m1+m2).row(r1).segment(c1,c2-c1+1)).transpose() );
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VERIFY_IS_APPROX( ((m1+m2).template block<Dynamic,1>(r1,c1,r2-r1+1,1)) , ((m1+m2).eval().col(c1).eval().segment(r1,r2-r1+1)) );
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VERIFY_IS_APPROX( ((m1+m2).template block<1,Dynamic>(r1,c1,1,c2-c1+1)) , ((m1+m2).eval().row(r1).eval().segment(c1,c2-c1+1)) );
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VERIFY_IS_APPROX( ((m1+m2).transpose().template block<1,Dynamic>(c1,r1,1,r2-r1+1)) , ((m1+m2).eval().col(c1).eval().segment(r1,r2-r1+1)).transpose() );
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VERIFY_IS_APPROX( (m1+m2).row(r1).eval(), (m1+m2).eval().row(r1) );
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VERIFY_IS_APPROX( (m1+m2).adjoint().col(r1).eval(), (m1+m2).adjoint().eval().col(r1) );
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VERIFY_IS_APPROX( (m1+m2).adjoint().row(c1).eval(), (m1+m2).adjoint().eval().row(c1) );
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VERIFY_IS_APPROX( (m1*1).row(r1).segment(c1,c2-c1+1).eval(), m1.row(r1).eval().segment(c1,c2-c1+1).eval() );
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VERIFY_IS_APPROX( m1.col(c1).reverse().segment(r1,r2-r1+1).eval(),m1.col(c1).reverse().eval().segment(r1,r2-r1+1).eval() );
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VERIFY_IS_APPROX( (m1*1).topRows(r1), m1.topRows(r1) );
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VERIFY_IS_APPROX( (m1*1).leftCols(c1), m1.leftCols(c1) );
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VERIFY_IS_APPROX( (m1*1).transpose().topRows(c1), m1.transpose().topRows(c1) );
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VERIFY_IS_APPROX( (m1*1).transpose().leftCols(r1), m1.transpose().leftCols(r1) );
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VERIFY_IS_APPROX( (m1*1).transpose().middleRows(c1,c2-c1+1), m1.transpose().middleRows(c1,c2-c1+1) );
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VERIFY_IS_APPROX( (m1*1).transpose().middleCols(r1,r2-r1+1), m1.transpose().middleCols(r1,r2-r1+1) );
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// evaluation into plain matrices from expressions with direct access (stress MapBase)
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DynamicMatrixType dm;
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DynamicVectorType dv;
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dm.setZero();
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dm = m1.block(r1,c1,rows-r1,cols-c1).block(r2-r1,c2-c1,rows-r2,cols-c2);
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VERIFY_IS_EQUAL(dm, (m1.block(r2,c2,rows-r2,cols-c2)));
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dm.setZero();
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dv.setZero();
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dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0).transpose();
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dv = m1.row(r1).segment(c1,c2-c1+1);
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VERIFY_IS_EQUAL(dv, dm);
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dm.setZero();
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dv.setZero();
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dm = m1.col(c1).segment(r1,r2-r1+1);
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dv = m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0);
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VERIFY_IS_EQUAL(dv, dm);
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dm.setZero();
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dv.setZero();
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dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0);
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dv = m1.row(r1).segment(c1,c2-c1+1);
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VERIFY_IS_EQUAL(dv, dm);
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dm.setZero();
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dv.setZero();
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dm = m1.row(r1).segment(c1,c2-c1+1).transpose();
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dv = m1.transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0);
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VERIFY_IS_EQUAL(dv, dm);
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VERIFY_IS_EQUAL( (m1.template block<Dynamic,1>(1,0,0,1)), m1.block(1,0,0,1));
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VERIFY_IS_EQUAL( (m1.template block<1,Dynamic>(0,1,1,0)), m1.block(0,1,1,0));
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VERIFY_IS_EQUAL( ((m1*1).template block<Dynamic,1>(1,0,0,1)), m1.block(1,0,0,1));
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VERIFY_IS_EQUAL( ((m1*1).template block<1,Dynamic>(0,1,1,0)), m1.block(0,1,1,0));
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if (rows>=2 && cols>=2)
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{
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VERIFY_RAISES_ASSERT( m1 += m1.col(0) );
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VERIFY_RAISES_ASSERT( m1 -= m1.col(0) );
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VERIFY_RAISES_ASSERT( m1.array() *= m1.col(0).array() );
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VERIFY_RAISES_ASSERT( m1.array() /= m1.col(0).array() );
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}
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VERIFY_IS_EQUAL( m1.template subVector<Horizontal>(r1), m1.row(r1) );
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VERIFY_IS_APPROX( (m1+m1).template subVector<Horizontal>(r1), (m1+m1).row(r1) );
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VERIFY_IS_EQUAL( m1.template subVector<Vertical>(c1), m1.col(c1) );
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VERIFY_IS_APPROX( (m1+m1).template subVector<Vertical>(c1), (m1+m1).col(c1) );
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VERIFY_IS_EQUAL( m1.template subVectors<Horizontal>(), m1.rows() );
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VERIFY_IS_EQUAL( m1.template subVectors<Vertical>(), m1.cols() );
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if (rows>=2 || cols>=2) {
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VERIFY_IS_EQUAL( int(m1.middleCols(0,0).IsRowMajor), int(m1.IsRowMajor) );
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VERIFY_IS_EQUAL( m1.middleCols(0,0).outerSize(), m1.IsRowMajor ? rows : 0);
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VERIFY_IS_EQUAL( m1.middleCols(0,0).innerSize(), m1.IsRowMajor ? 0 : rows);
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VERIFY_IS_EQUAL( int(m1.middleRows(0,0).IsRowMajor), int(m1.IsRowMajor) );
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VERIFY_IS_EQUAL( m1.middleRows(0,0).outerSize(), m1.IsRowMajor ? 0 : cols);
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VERIFY_IS_EQUAL( m1.middleRows(0,0).innerSize(), m1.IsRowMajor ? cols : 0);
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}
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}
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template<typename MatrixType>
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void compare_using_data_and_stride(const MatrixType& m)
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{
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Index rows = m.rows();
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Index cols = m.cols();
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Index size = m.size();
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Index innerStride = m.innerStride();
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Index outerStride = m.outerStride();
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Index rowStride = m.rowStride();
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Index colStride = m.colStride();
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const typename MatrixType::Scalar* data = m.data();
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for(int j=0;j<cols;++j)
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for(int i=0;i<rows;++i)
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VERIFY(m.coeff(i,j) == data[i*rowStride + j*colStride]);
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if(!MatrixType::IsVectorAtCompileTime)
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{
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for(int j=0;j<cols;++j)
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for(int i=0;i<rows;++i)
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VERIFY(m.coeff(i,j) == data[(MatrixType::Flags&RowMajorBit)
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? i*outerStride + j*innerStride
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: j*outerStride + i*innerStride]);
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}
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if(MatrixType::IsVectorAtCompileTime)
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{
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VERIFY(innerStride == int((&m.coeff(1))-(&m.coeff(0))));
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for (int i=0;i<size;++i)
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VERIFY(m.coeff(i) == data[i*innerStride]);
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}
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}
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template<typename MatrixType>
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void data_and_stride(const MatrixType& m)
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{
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Index rows = m.rows();
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Index cols = m.cols();
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Index r1 = internal::random<Index>(0,rows-1);
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Index r2 = internal::random<Index>(r1,rows-1);
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Index c1 = internal::random<Index>(0,cols-1);
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Index c2 = internal::random<Index>(c1,cols-1);
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MatrixType m1 = MatrixType::Random(rows, cols);
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compare_using_data_and_stride(m1.block(r1, c1, r2-r1+1, c2-c1+1));
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compare_using_data_and_stride(m1.transpose().block(c1, r1, c2-c1+1, r2-r1+1));
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compare_using_data_and_stride(m1.row(r1));
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compare_using_data_and_stride(m1.col(c1));
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compare_using_data_and_stride(m1.row(r1).transpose());
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compare_using_data_and_stride(m1.col(c1).transpose());
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}
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EIGEN_DECLARE_TEST(block)
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( block(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_1( block(Matrix<float, 1, Dynamic>(internal::random(2,50))) );
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CALL_SUBTEST_1( block(Matrix<float, Dynamic, 1>(internal::random(2,50))) );
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CALL_SUBTEST_2( block(Matrix4d()) );
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CALL_SUBTEST_3( block(MatrixXcf(internal::random(2,50), internal::random(2,50))) );
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CALL_SUBTEST_4( block(MatrixXi(internal::random(2,50), internal::random(2,50))) );
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CALL_SUBTEST_5( block(MatrixXcd(internal::random(2,50), internal::random(2,50))) );
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CALL_SUBTEST_6( block(MatrixXf(internal::random(2,50), internal::random(2,50))) );
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CALL_SUBTEST_7( block(Matrix<int,Dynamic,Dynamic,RowMajor>(internal::random(2,50), internal::random(2,50))) );
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CALL_SUBTEST_8( block(Matrix<float,Dynamic,4>(3, 4)) );
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#ifndef EIGEN_DEFAULT_TO_ROW_MAJOR
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CALL_SUBTEST_6( data_and_stride(MatrixXf(internal::random(5,50), internal::random(5,50))) );
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CALL_SUBTEST_7( data_and_stride(Matrix<int,Dynamic,Dynamic,RowMajor>(internal::random(5,50), internal::random(5,50))) );
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#endif
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}
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}
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