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eigen/test/block.cpp

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#define EIGEN_NO_STATIC_ASSERT // otherwise we fail at compile time on unused paths
#include "main.h"
template<typename MatrixType> void block(const MatrixType& m)
{
typedef typename MatrixType::Index Index;
typedef typename MatrixType::Scalar Scalar;
typedef typename MatrixType::RealScalar RealScalar;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime> RowVectorType;
typedef Matrix<Scalar, Dynamic, Dynamic> DynamicMatrixType;
typedef Matrix<Scalar, Dynamic, 1> DynamicVectorType;
Index rows = m.rows();
Index cols = m.cols();
MatrixType m1 = MatrixType::Random(rows, cols),
m1_copy = m1,
m2 = MatrixType::Random(rows, cols),
m3(rows, cols),
mzero = MatrixType::Zero(rows, cols),
ones = MatrixType::Ones(rows, cols);
VectorType v1 = VectorType::Random(rows),
v2 = VectorType::Random(rows),
v3 = VectorType::Random(rows),
vzero = VectorType::Zero(rows);
Scalar s1 = internal::random<Scalar>();
Index r1 = internal::random<Index>(0,rows-1);
Index r2 = internal::random<Index>(r1,rows-1);
Index c1 = internal::random<Index>(0,cols-1);
Index c2 = internal::random<Index>(c1,cols-1);
//check row() and col()
VERIFY_IS_EQUAL(m1.col(c1).transpose(), m1.transpose().row(c1));
//check operator(), both constant and non-constant, on row() and col()
m1 = m1_copy;
m1.row(r1) += s1 * m1_copy.row(r2);
VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + s1 * m1_copy.row(r2));
// check nested block xpr on lhs
m1.row(r1).row(0) += s1 * m1_copy.row(r2);
VERIFY_IS_APPROX(m1.row(r1), m1_copy.row(r1) + Scalar(2) * s1 * m1_copy.row(r2));
m1 = m1_copy;
m1.col(c1) += s1 * m1_copy.col(c2);
VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + s1 * m1_copy.col(c2));
m1.col(c1).col(0) += s1 * m1_copy.col(c2);
VERIFY_IS_APPROX(m1.col(c1), m1_copy.col(c1) + Scalar(2) * s1 * m1_copy.col(c2));
//check block()
Matrix<Scalar,Dynamic,Dynamic> b1(1,1); b1(0,0) = m1(r1,c1);
RowVectorType br1(m1.block(r1,0,1,cols));
VectorType bc1(m1.block(0,c1,rows,1));
VERIFY_IS_EQUAL(b1, m1.block(r1,c1,1,1));
VERIFY_IS_EQUAL(m1.row(r1), br1);
VERIFY_IS_EQUAL(m1.col(c1), bc1);
//check operator(), both constant and non-constant, on block()
m1.block(r1,c1,r2-r1+1,c2-c1+1) = s1 * m2.block(0, 0, r2-r1+1,c2-c1+1);
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);
enum {
BlockRows = 2,
BlockCols = 5
};
if (rows>=5 && cols>=8)
{
// test fixed block() as lvalue
m1.template block<BlockRows,BlockCols>(1,1) *= s1;
// test operator() on fixed block() both as constant and non-constant
m1.template block<BlockRows,BlockCols>(1,1)(0, 3) = m1.template block<2,5>(1,1)(1,2);
// check that fixed block() and block() agree
Matrix<Scalar,Dynamic,Dynamic> b = m1.template block<BlockRows,BlockCols>(3,3);
VERIFY_IS_EQUAL(b, m1.block(3,3,BlockRows,BlockCols));
}
if (rows>2)
{
// test sub vectors
VERIFY_IS_EQUAL(v1.template head<2>(), v1.block(0,0,2,1));
VERIFY_IS_EQUAL(v1.template head<2>(), v1.head(2));
VERIFY_IS_EQUAL(v1.template head<2>(), v1.segment(0,2));
VERIFY_IS_EQUAL(v1.template head<2>(), v1.template segment<2>(0));
Index i = rows-2;
VERIFY_IS_EQUAL(v1.template tail<2>(), v1.block(i,0,2,1));
VERIFY_IS_EQUAL(v1.template tail<2>(), v1.tail(2));
VERIFY_IS_EQUAL(v1.template tail<2>(), v1.segment(i,2));
VERIFY_IS_EQUAL(v1.template tail<2>(), v1.template segment<2>(i));
i = internal::random<Index>(0,rows-2);
VERIFY_IS_EQUAL(v1.segment(i,2), v1.template segment<2>(i));
}
// stress some basic stuffs with block matrices
VERIFY(internal::real(ones.col(c1).sum()) == RealScalar(rows));
VERIFY(internal::real(ones.row(r1).sum()) == RealScalar(cols));
VERIFY(internal::real(ones.col(c1).dot(ones.col(c2))) == RealScalar(rows));
VERIFY(internal::real(ones.row(r1).dot(ones.row(r2))) == RealScalar(cols));
// now test some block-inside-of-block.
// expressions with direct access
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)) );
VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0)) , (m1.row(r1).segment(c1,c2-c1+1)) );
VERIFY_IS_EQUAL( (m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0)) , (m1.col(c1).segment(r1,r2-r1+1)) );
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() );
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() );
// expressions without direct access
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)) );
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)) );
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)) );
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() );
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() );
// evaluation into plain matrices from expressions with direct access (stress MapBase)
DynamicMatrixType dm;
DynamicVectorType dv;
dm.setZero();
dm = m1.block(r1,c1,rows-r1,cols-c1).block(r2-r1,c2-c1,rows-r2,cols-c2);
VERIFY_IS_EQUAL(dm, (m1.block(r2,c2,rows-r2,cols-c2)));
dm.setZero();
dv.setZero();
dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).row(0).transpose();
dv = m1.row(r1).segment(c1,c2-c1+1);
VERIFY_IS_EQUAL(dv, dm);
dm.setZero();
dv.setZero();
dm = m1.col(c1).segment(r1,r2-r1+1);
dv = m1.block(r1,c1,r2-r1+1,c2-c1+1).col(0);
VERIFY_IS_EQUAL(dv, dm);
dm.setZero();
dv.setZero();
dm = m1.block(r1,c1,r2-r1+1,c2-c1+1).transpose().col(0);
dv = m1.row(r1).segment(c1,c2-c1+1);
VERIFY_IS_EQUAL(dv, dm);
dm.setZero();
dv.setZero();
dm = m1.row(r1).segment(c1,c2-c1+1).transpose();
dv = m1.transpose().block(c1,r1,c2-c1+1,r2-r1+1).col(0);
VERIFY_IS_EQUAL(dv, dm);
}
template<typename MatrixType>
void compare_using_data_and_stride(const MatrixType& m)
{
typedef typename MatrixType::Index Index;
Index rows = m.rows();
Index cols = m.cols();
Index size = m.size();
Index innerStride = m.innerStride();
Index outerStride = m.outerStride();
Index rowStride = m.rowStride();
Index colStride = m.colStride();
const typename MatrixType::Scalar* data = m.data();
for(int j=0;j<cols;++j)
for(int i=0;i<rows;++i)
VERIFY(m.coeff(i,j) == data[i*rowStride + j*colStride]);
if(!MatrixType::IsVectorAtCompileTime)
{
for(int j=0;j<cols;++j)
for(int i=0;i<rows;++i)
VERIFY(m.coeff(i,j) == data[(MatrixType::Flags&RowMajorBit)
? i*outerStride + j*innerStride
: j*outerStride + i*innerStride]);
}
if(MatrixType::IsVectorAtCompileTime)
{
VERIFY(innerStride == int((&m.coeff(1))-(&m.coeff(0))));
for (int i=0;i<size;++i)
VERIFY(m.coeff(i) == data[i*innerStride]);
}
}
template<typename MatrixType>
void data_and_stride(const MatrixType& m)
{
typedef typename MatrixType::Index Index;
Index rows = m.rows();
Index cols = m.cols();
Index r1 = internal::random<Index>(0,rows-1);
Index r2 = internal::random<Index>(r1,rows-1);
Index c1 = internal::random<Index>(0,cols-1);
Index c2 = internal::random<Index>(c1,cols-1);
MatrixType m1 = MatrixType::Random(rows, cols);
compare_using_data_and_stride(m1.block(r1, c1, r2-r1+1, c2-c1+1));
compare_using_data_and_stride(m1.transpose().block(c1, r1, c2-c1+1, r2-r1+1));
compare_using_data_and_stride(m1.row(r1));
compare_using_data_and_stride(m1.col(c1));
compare_using_data_and_stride(m1.row(r1).transpose());
compare_using_data_and_stride(m1.col(c1).transpose());
}
void test_block()
{
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1( block(Matrix<float, 1, 1>()) );
CALL_SUBTEST_2( block(Matrix4d()) );
CALL_SUBTEST_3( block(MatrixXcf(3, 3)) );
CALL_SUBTEST_4( block(MatrixXi(8, 12)) );
CALL_SUBTEST_5( block(MatrixXcd(20, 20)) );
CALL_SUBTEST_6( block(MatrixXf(20, 20)) );
CALL_SUBTEST_8( block(Matrix<float,Dynamic,4>(3, 4)) );
#ifndef EIGEN_DEFAULT_TO_ROW_MAJOR
CALL_SUBTEST_6( data_and_stride(MatrixXf(internal::random(5,50), internal::random(5,50))) );
CALL_SUBTEST_7( data_and_stride(Matrix<int,Dynamic,Dynamic,RowMajor>(internal::random(5,50), internal::random(5,50))) );
#endif
}
}
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