eigen/test/array_reverse.cpp

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
// Copyright (C) 2009 Ricard Marxer <email@ricardmarxer.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"
#include <iostream>

using namespace std;

template<typename MatrixType> void reverse(const MatrixType& m)
{
  typedef typename MatrixType::Scalar Scalar;
  typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;

  int rows = m.rows();
  int cols = m.cols();

  // this test relies a lot on Random.h, and there's not much more that we can do
  // to test it, hence I consider that we will have tested Random.h
  MatrixType m1 = MatrixType::Random(rows, cols);
  VectorType v1 = VectorType::Random(rows);

  MatrixType m1_r = m1.reverse();
  // Verify that MatrixBase::reverse() works
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_r(i, j), m1(rows - 1 - i, cols - 1 - j));
    }
  }

  Reverse<MatrixType> m1_rd(m1);
  // Verify that a Reverse default (in both directions) of an expression works
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_rd(i, j), m1(rows - 1 - i, cols - 1 - j));
    }
  }

  Reverse<MatrixType, BothDirections> m1_rb(m1);
  // Verify that a Reverse in both directions of an expression works
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_rb(i, j), m1(rows - 1 - i, cols - 1 - j));
    }
  }

  Reverse<MatrixType, Vertical> m1_rv(m1);
  // Verify that a Reverse in the vertical directions of an expression works
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_rv(i, j), m1(rows - 1 - i, j));
    }
  }

  Reverse<MatrixType, Horizontal> m1_rh(m1);
  // Verify that a Reverse in the horizontal directions of an expression works
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_rh(i, j), m1(i, cols - 1 - j));
    }
  }

  VectorType v1_r = v1.reverse();
  // Verify that a VectorType::reverse() of an expression works
  for ( int i = 0; i < rows; i++ ) {
    VERIFY_IS_APPROX(v1_r(i), v1(rows - 1 - i));
  }

  MatrixType m1_cr = m1.colwise().reverse();
  // Verify that PartialRedux::reverse() works (for colwise())
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_cr(i, j), m1(rows - 1 - i, j));
    }
  }

  MatrixType m1_rr = m1.rowwise().reverse();
  // Verify that PartialRedux::reverse() works (for rowwise())
  for ( int i = 0; i < rows; i++ ) {
    for ( int j = 0; j < cols; j++ ) {
      VERIFY_IS_APPROX(m1_rr(i, j), m1(i, cols - 1 - j));
    }
  }

  /*
  cout << "m1:" << endl << m1 << endl;
  cout << "m1c_reversed:" << endl << m1c_reversed << endl;

  cout << "----------------" << endl;

  for ( int i=0; i< rows*cols; i++){
    cout << m1c_reversed.coeff(i) << endl;
  }

  cout << "----------------" << endl;

  for ( int i=0; i< rows*cols; i++){
    cout << m1c_reversed.colwise().reverse().coeff(i) << endl;
  }

  cout << "================" << endl;

  cout << "m1.coeff( ind ): " << m1.coeff( ind ) << endl;
  cout << "m1c_reversed.colwise().reverse().coeff( ind ): " << m1c_reversed.colwise().reverse().coeff( ind ) << endl;
  */

  //MatrixType m1r_reversed = m1.rowwise().reverse();
  //VERIFY_IS_APPROX( m1r_reversed.rowwise().reverse().coeff( ind ), m1.coeff( ind ) );

  /*
  cout << "m1" << endl << m1 << endl;
  cout << "m1 using coeff(int index)" << endl;
  for ( int i = 0; i < rows*cols; i++) {
    cout << m1.coeff(i) << " ";
  }
  cout << endl;

  cout << "m1.transpose()" << endl << m1.transpose() << endl;
  cout << "m1.transpose() using coeff(int index)" << endl;
  for ( int i = 0; i < rows*cols; i++) {
    cout << m1.transpose().coeff(i) << " ";
  }
  cout << endl;
  */
  /*
  Scalar x = ei_random<Scalar>();

  int r = ei_random<int>(0, rows-1),
      c = ei_random<int>(0, cols-1);

  m1.reverse()(r, c) = x;
  VERIFY_IS_APPROX(x, m1(rows - 1 - r, cols - 1 - c));

  m1.colwise().reverse()(r, c) = x;
  VERIFY_IS_APPROX(x, m1(rows - 1 - r, c));

  m1.rowwise().reverse()(r, c) = x;
  VERIFY_IS_APPROX(x, m1(r, cols - 1 - c));
  */
}

void test_array_reverse()
{
  for(int i = 0; i < g_repeat; i++) {
    CALL_SUBTEST_1( reverse(Matrix<float, 1, 1>()) );
    CALL_SUBTEST_2( reverse(Matrix2f()) );
    CALL_SUBTEST_3( reverse(Matrix4f()) );
    CALL_SUBTEST_4( reverse(Matrix4d()) );
    CALL_SUBTEST_5( reverse(MatrixXcf(3, 3)) );
    CALL_SUBTEST_6( reverse(MatrixXi(6, 3)) );
    CALL_SUBTEST_7( reverse(MatrixXcd(20, 20)) );
    CALL_SUBTEST_8( reverse(Matrix<float, 100, 100>()) );
    CALL_SUBTEST_9( reverse(Matrix<float,Dynamic,Dynamic,RowMajor>(6,3)) );
  }
#ifdef EIGEN_TEST_PART_3
  Vector4f x; x << 1, 2, 3, 4;
  Vector4f y; y << 4, 3, 2, 1;
  VERIFY(x.reverse()[1] == 3);
  VERIFY(x.reverse() == y);
#endif
}