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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008 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/>.
#include "main.h"
template<typename MatrixType> void matrixRedux(const MatrixType& m)
{
typedef typename MatrixType::Index Index;
typedef typename MatrixType::Scalar Scalar;
typedef typename MatrixType::RealScalar RealScalar;
Index rows = m.rows();
Index cols = m.cols();
MatrixType m1 = MatrixType::Random(rows, cols);
VERIFY_IS_MUCH_SMALLER_THAN(MatrixType::Zero(rows, cols).sum(), Scalar(1));
VERIFY_IS_APPROX(MatrixType::Ones(rows, cols).sum(), Scalar(float(rows*cols))); // the float() here to shut up excessive MSVC warning about int->complex conversion being lossy
Scalar s(0), p(1), minc(ei_real(m1.coeff(0))), maxc(ei_real(m1.coeff(0)));
for(int j = 0; j < cols; j++)
for(int i = 0; i < rows; i++)
{
s += m1(i,j);
p *= m1(i,j);
minc = std::min(ei_real(minc), ei_real(m1(i,j)));
maxc = std::max(ei_real(maxc), ei_real(m1(i,j)));
}
const Scalar mean = s/Scalar(RealScalar(rows*cols));
VERIFY_IS_APPROX(m1.sum(), s);
VERIFY_IS_APPROX(m1.mean(), mean);
VERIFY_IS_APPROX(m1.prod(), p);
VERIFY_IS_APPROX(m1.real().minCoeff(), ei_real(minc));
VERIFY_IS_APPROX(m1.real().maxCoeff(), ei_real(maxc));
// test slice vectorization assuming assign is ok
Index r0 = ei_random<Index>(0,rows-1);
Index c0 = ei_random<Index>(0,cols-1);
Index r1 = ei_random<Index>(r0+1,rows)-r0;
Index c1 = ei_random<Index>(c0+1,cols)-c0;
VERIFY_IS_APPROX(m1.block(r0,c0,r1,c1).sum(), m1.block(r0,c0,r1,c1).eval().sum());
VERIFY_IS_APPROX(m1.block(r0,c0,r1,c1).mean(), m1.block(r0,c0,r1,c1).eval().mean());
VERIFY_IS_APPROX(m1.block(r0,c0,r1,c1).prod(), m1.block(r0,c0,r1,c1).eval().prod());
VERIFY_IS_APPROX(m1.block(r0,c0,r1,c1).real().minCoeff(), m1.block(r0,c0,r1,c1).real().eval().minCoeff());
VERIFY_IS_APPROX(m1.block(r0,c0,r1,c1).real().maxCoeff(), m1.block(r0,c0,r1,c1).real().eval().maxCoeff());
// test empty objects
VERIFY_IS_APPROX(m1.block(r0,c0,0,0).sum(), Scalar(0));
VERIFY_IS_APPROX(m1.block(r0,c0,0,0).prod(), Scalar(1));
}
template<typename VectorType> void vectorRedux(const VectorType& w)
{
typedef typename VectorType::Index Index;
typedef typename VectorType::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
Index size = w.size();
VectorType v = VectorType::Random(size);
for(int i = 1; i < size; i++)
{
Scalar s(0), p(1);
RealScalar minc(ei_real(v.coeff(0))), maxc(ei_real(v.coeff(0)));
for(int j = 0; j < i; j++)
{
s += v[j];
p *= v[j];
minc = std::min(minc, ei_real(v[j]));
maxc = std::max(maxc, ei_real(v[j]));
}
VERIFY_IS_APPROX(s, v.head(i).sum());
VERIFY_IS_APPROX(p, v.head(i).prod());
VERIFY_IS_APPROX(minc, v.real().head(i).minCoeff());
VERIFY_IS_APPROX(maxc, v.real().head(i).maxCoeff());
}
for(int i = 0; i < size-1; i++)
{
Scalar s(0), p(1);
RealScalar minc(ei_real(v.coeff(i))), maxc(ei_real(v.coeff(i)));
for(int j = i; j < size; j++)
{
s += v[j];
p *= v[j];
minc = std::min(minc, ei_real(v[j]));
maxc = std::max(maxc, ei_real(v[j]));
}
VERIFY_IS_MUCH_SMALLER_THAN(ei_abs(s - v.tail(size-i).sum()), Scalar(1));
VERIFY_IS_APPROX(p, v.tail(size-i).prod());
VERIFY_IS_APPROX(minc, v.real().tail(size-i).minCoeff());
VERIFY_IS_APPROX(maxc, v.real().tail(size-i).maxCoeff());
}
for(int i = 0; i < size/2; i++)
{
Scalar s(0), p(1);
RealScalar minc(ei_real(v.coeff(i))), maxc(ei_real(v.coeff(i)));
for(int j = i; j < size-i; j++)
{
s += v[j];
p *= v[j];
minc = std::min(minc, ei_real(v[j]));
maxc = std::max(maxc, ei_real(v[j]));
}
VERIFY_IS_APPROX(s, v.segment(i, size-2*i).sum());
VERIFY_IS_APPROX(p, v.segment(i, size-2*i).prod());
VERIFY_IS_APPROX(minc, v.real().segment(i, size-2*i).minCoeff());
VERIFY_IS_APPROX(maxc, v.real().segment(i, size-2*i).maxCoeff());
}
// test empty objects
VERIFY_IS_APPROX(v.head(0).sum(), Scalar(0));
VERIFY_IS_APPROX(v.tail(0).prod(), Scalar(1));
VERIFY_RAISES_ASSERT(v.head(0).mean());
VERIFY_RAISES_ASSERT(v.head(0).minCoeff());
VERIFY_RAISES_ASSERT(v.head(0).maxCoeff());
}
void test_redux()
{
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1( matrixRedux(Matrix<float, 1, 1>()) );
CALL_SUBTEST_1( matrixRedux(Array<float, 1, 1>()) );
CALL_SUBTEST_2( matrixRedux(Matrix2f()) );
CALL_SUBTEST_2( matrixRedux(Array2f()) );
CALL_SUBTEST_3( matrixRedux(Matrix4d()) );
CALL_SUBTEST_3( matrixRedux(Array4d()) );
CALL_SUBTEST_4( matrixRedux(MatrixXcf(3, 3)) );
CALL_SUBTEST_4( matrixRedux(ArrayXXcf(3, 3)) );
CALL_SUBTEST_5( matrixRedux(MatrixXd(8, 12)) );
CALL_SUBTEST_5( matrixRedux(ArrayXXd(8, 12)) );
CALL_SUBTEST_6( matrixRedux(MatrixXi(8, 12)) );
CALL_SUBTEST_6( matrixRedux(ArrayXXi(8, 12)) );
}
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_7( vectorRedux(Vector4f()) );
CALL_SUBTEST_7( vectorRedux(Array4f()) );
CALL_SUBTEST_5( vectorRedux(VectorXd(10)) );
CALL_SUBTEST_5( vectorRedux(ArrayXd(10)) );
CALL_SUBTEST_8( vectorRedux(VectorXf(33)) );
CALL_SUBTEST_8( vectorRedux(ArrayXf(33)) );
}
}
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