testMath.cpp

/****************************************************************************
 *
 * This file is part of the ViSP software.
 * Copyright (C) 2005 - 2017 by Inria. All rights reserved.
 *
 * This software is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * ("GPL") version 2 as published by the Free Software Foundation.
 * See the file LICENSE.txt at the root directory of this source
 * distribution for additional information about the GNU GPL.
 *
 * For using ViSP with software that can not be combined with the GNU
 * GPL, please contact Inria about acquiring a ViSP Professional
 * Edition License.
 *
 * See http://visp.inria.fr for more information.
 *
 * This software was developed at:
 * Inria Rennes - Bretagne Atlantique
 * Campus Universitaire de Beaulieu
 * 35042 Rennes Cedex
 * France
 *
 * If you have questions regarding the use of this file, please contact
 * Inria at visp@inria.fr
 *
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 * Description:
 * Test some vpColVector functionalities.
 *
 * Authors:
 * Souriya Trinh
 *
 *****************************************************************************/

#include <iostream>
#include <limits>
#include <cfloat>

#include <visp3/core/vpMath.h>

#if defined _MSC_VER && _MSC_VER >= 1200
  #pragma warning( disable: 4723 )

// 4723 : potential divide by 0
#endif

#ifdef WIN32
  #ifndef NAN
    //https://msdn.microsoft.com/en-us/library/w22adx1s%28v=vs.120%29.aspx
    //http://tdistler.com/2011/03/24/how-to-define-nan-not-a-number-on-windows
    static const unsigned long __nan[2] = {0xffffffff, 0x7fffffff};
    #define NAN (*(const float *) __nan)
  #endif
#endif

int main() {
  //Test isNaN
  if(vpMath::isNaN(0.0)) {
    std::cerr << "Fail: IsNaN(0.0)=" << vpMath::isNaN(0.0) << " / should be false" << std::endl;
    return -1;
  }

  double num = 1.0, den = 0.0;
  if(vpMath::isNaN(num/den)) {
    std::cerr << "Fail: IsNaN(1.0/0.0)=" << vpMath::isNaN(num/den) << " / should be false" << std::endl;
    return -1;
  }

  if(!vpMath::isNaN(NAN)) {
    std::cerr << "Fail: IsNaN(NAN)=" << vpMath::isNaN(NAN) << " / should be true" << std::endl;
    return -1;
  }

  num = 0.0;
  if(!vpMath::isNaN(num/den)) {
    std::cerr << "Fail: IsNaN(0.0/0.0)=" << vpMath::isNaN(num/den) << " / should be true" << std::endl;
    return -1;
  }

  if(!vpMath::isNaN(std::numeric_limits<double>::quiet_NaN())) {
    std::cerr << "Fail: IsNaN(quiet_NaN)=" << vpMath::isNaN(std::numeric_limits<double>::quiet_NaN())
      << " / should be true" << std::endl;
    return -1;
  }

  if(!vpMath::isNaN(std::numeric_limits<double>::signaling_NaN())) {
    std::cerr << "Fail: IsNaN(signaling_NaN)=" << vpMath::isNaN(std::numeric_limits<double>::signaling_NaN())
      << " / should be true" << std::endl;
    return -1;
  }

  if(vpMath::isNaN(std::numeric_limits<double>::infinity())) {
    std::cerr << "Fail: IsNaN(infinity)=" << vpMath::isNaN(std::numeric_limits<double>::infinity())
      << " / should be false" << std::endl;
    return -1;
  }

  if(vpMath::isNaN(1.0 / std::numeric_limits<double>::epsilon())) {
    std::cerr << "Fail: IsNaN(1.0/epsilon)=" << vpMath::isNaN(1.0/std::numeric_limits<double>::epsilon())
      << " / should be false" << std::endl;
    return -1;
  }

  if(!vpMath::isNaN(std::numeric_limits<double>::infinity() - std::numeric_limits<double>::infinity())) {
    std::cerr << "Fail: IsNaN(1.0/epsilon)=" << vpMath::isNaN(1.0/std::numeric_limits<double>::epsilon())
      << " / should be true" << std::endl;
    return -1;
  }

  float a = 0.0f, b = 0.0f;
  if(!vpMath::isNaN(a/b)) {
    std::cerr << "Fail: IsNaN(0.0f/0.0f)=" << vpMath::isNaN(a/b) << " / should be true" << std::endl;
    return -1;
  }
  std::cout << "vpMath::isNaN is Ok !" << std::endl;


  //Test isInf
#if !defined(VISP_HAVE_FUNC__FINITE)
  //Disable this test if using _finite as (!_finite(NAN)) returns true whereas isinf(NAN) returns false
  if(vpMath::isInf(NAN)) {
    std::cerr << "Fail: vpMath::isInf(NAN)=" << vpMath::isInf(NAN) << " / should be false" << std::endl;
    return -1;
  }
#endif

  if(!vpMath::isInf(1.0/a)) {
    std::cerr << "Fail: vpMath::isInf(1.0/0.0)=" << vpMath::isInf(1.0/a) << " / should be true" << std::endl;
    return -1;
  }

  if(vpMath::isInf(0.0)) {
    std::cerr << "Fail: vpMath::isInf(0.0)=" << vpMath::isInf(0.0) << " / should be false" << std::endl;
    return -1;
  }

  if(!vpMath::isInf(exp(800.))) {
    std::cerr << "Fail: vpMath::isInf(exp(800.))=" << vpMath::isInf(exp(800.)) << " / should be true" << std::endl;
    return -1;
  }

  if(vpMath::isInf(DBL_MIN/2.0)) {
    std::cerr << "Fail: vpMath::isInf(DBL_MIN/2.0)=" << vpMath::isInf(DBL_MIN/2.0) << " / should be false" << std::endl;
    return -1;
  }
  std::cout << "vpMath::isInf is Ok !" << std::endl;


  //Test round
  if(vpMath::round(2.3) != 2) {
    std::cerr << "Fail: vpMath::round(2.3)=" << vpMath::round(2.3) << " / should be 2" << std::endl;
    return -1;
  }

  if(vpMath::round(3.8) != 4) {
    std::cerr << "Fail: vpMath::round(3.8)=" << vpMath::round(3.8) << " / should be 4" << std::endl;
    return -1;
  }

  if(vpMath::round(5.5) != 6) {
    std::cerr << "Fail: vpMath::round(5.5)=" << vpMath::round(5.5) << " / should be 6" << std::endl;
    return -1;
  }

  if(vpMath::round(-2.3) != -2) {
    std::cerr << "Fail: vpMath::round(-2.3)=" << vpMath::round(-2.3) << " / should be -2" << std::endl;
    return -1;
  }

  if(vpMath::round(-3.8) != -4) {
    std::cerr << "Fail: vpMath::round(-3.8)=" << vpMath::round(-3.8) << " / should be -4" << std::endl;
    return -1;
  }

  if(vpMath::round(-5.5) != -6) {
    std::cerr << "Fail: vpMath::round(-5.5)=" << vpMath::round(-5.5) << " / should be -6" << std::endl;
    return -1;
  }

  if(vpMath::round(0.0) != 0) {
    std::cerr << "Fail: vpMath::round(0.0)=" << vpMath::round(0.0) << " / should be 0" << std::endl;
    return -1;
  }
  std::cout << "vpMath::round is Ok !" << std::endl;


  //Test saturate functions
  //unsigned char
  char char_value = -127;
  unsigned char uchar_value = vpMath::saturate<unsigned char>(char_value);
  if(uchar_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(-127)=" << uchar_value << " / should be 0" << std::endl;
    return -1;
  }

  unsigned short ushort_value = 60000;
  uchar_value = vpMath::saturate<unsigned char>(ushort_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(60000)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  int int_value = 70000;
  uchar_value = vpMath::saturate<unsigned char>(int_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(70000)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  int_value = -70000;
  uchar_value = vpMath::saturate<unsigned char>(int_value);
  if(uchar_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(-70000)=" << uchar_value << " / should be 0" << std::endl;
    return -1;
  }

  short short_value = 30000;
  uchar_value = vpMath::saturate<unsigned char>(short_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(30000)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  short_value = -30000;
  uchar_value = vpMath::saturate<unsigned char>(short_value);
  if(uchar_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(-30000)=" << uchar_value << " / should be 0" << std::endl;
    return -1;
  }

  unsigned int uint_value = 10000;
  uchar_value = vpMath::saturate<unsigned char>(uint_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(10000)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  float float_value = 10000.1f;
  uchar_value = vpMath::saturate<unsigned char>(float_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(10000.1f)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  float_value = -10000.1f;
  uchar_value = vpMath::saturate<unsigned char>(float_value);
  if(uchar_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(-10000.1f)=" << uchar_value << " / should be 0" << std::endl;
    return -1;
  }

  double double_value = 10000.1;
  uchar_value = vpMath::saturate<unsigned char>(double_value);
  if(uchar_value != UCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(10000.0)=" << uchar_value << " / should be " << UCHAR_MAX << std::endl;
    return -1;
  }

  double_value = -10000.1;
  uchar_value = vpMath::saturate<unsigned char>(double_value);
  if(uchar_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned char>(-10000.0)=" << uchar_value << " / should be 0" << std::endl;
    return -1;
  }
  std::cout << "vpMath::saturate<unsigned char>() is Ok !" << std::endl;


  //char
  uchar_value = 255;
  char_value = vpMath::saturate<char>(uchar_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(255)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  ushort_value = 60000;
  char_value = vpMath::saturate<char>(ushort_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(60000)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  int_value = 70000;
  char_value = vpMath::saturate<char>(int_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(70000)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  int_value = -70000;
  char_value = vpMath::saturate<char>(int_value);
  if(char_value != (char)SCHAR_MIN) {
    std::cerr << "Fail: vpMath::saturate<char>(-70000)=" << char_value << " / should be " << SCHAR_MIN << std::endl;
    return -1;
  }

  short_value = 30000;
  char_value = vpMath::saturate<char>(short_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(30000)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  short_value = -30000;
  char_value = vpMath::saturate<char>(short_value);
  if(char_value != (char)SCHAR_MIN) {
    std::cerr << "Fail: vpMath::saturate<char>(-30000)=" << char_value << " / should be " << SCHAR_MIN << std::endl;
    return -1;
  }

  uint_value = 10000;
  char_value = vpMath::saturate<char>(uint_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(10000)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  float_value = 10000.1f;
  char_value = vpMath::saturate<char>(float_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(10000.1f)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  float_value = -10000.1f;
  char_value = vpMath::saturate<char>(float_value);
  if(char_value != (char)SCHAR_MIN) {
    std::cerr << "Fail: vpMath::saturate<char>(-10000.1f)=" << char_value << " / should be " << SCHAR_MIN << std::endl;
    return -1;
  }

  double_value = 10000.1;
  char_value = vpMath::saturate<char>(double_value);
  if(char_value != SCHAR_MAX) {
    std::cerr << "Fail: vpMath::saturate<char>(10000.1)=" << char_value << " / should be " << SCHAR_MAX << std::endl;
    return -1;
  }

  double_value = -10000.1;
  char_value = vpMath::saturate<char>(double_value);
  if(char_value != (char)SCHAR_MIN) {
    std::cerr << "Fail: vpMath::saturate<char>(-10000.1)=" << char_value << " / should be " << SCHAR_MIN << std::endl;
    return -1;
  }
  std::cout << "vpMath::saturate<char>() is Ok !" << std::endl;


  //unsigned short
  char_value = -127;
  ushort_value = vpMath::saturate<unsigned short>(char_value);
  if(ushort_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(-127)=" << ushort_value << " / should be 0" << std::endl;
    return -1;
  }

  short_value = -30000;
  ushort_value = vpMath::saturate<unsigned short>(short_value);
  if(ushort_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(-30000)=" << ushort_value << " / should be 0" << std::endl;
    return -1;
  }

  int_value = 70000;
  ushort_value = vpMath::saturate<unsigned short>(int_value);
  if(ushort_value != USHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(70000)=" << ushort_value << " / should be " << USHRT_MAX << std::endl;
    return -1;
  }

  int_value = -70000;
  ushort_value = vpMath::saturate<unsigned short>(int_value);
  if(ushort_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(-70000)=" << ushort_value << " / should be 0" << std::endl;
    return -1;
  }

  uint_value = 70000;
  ushort_value = vpMath::saturate<unsigned short>(uint_value);
  if(ushort_value != USHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(70000)=" << ushort_value << " / should be " << USHRT_MAX << std::endl;
    return -1;
  }

  float_value = 70000.1f;
  ushort_value = vpMath::saturate<unsigned short>(float_value);
  if(ushort_value != USHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(70000.1f)=" << ushort_value << " / should be " << USHRT_MAX << std::endl;
    return -1;
  }

  float_value = -10000.1f;
  ushort_value = vpMath::saturate<unsigned short>(float_value);
  if(ushort_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(-10000.1f)=" << ushort_value << " / should be 0" << std::endl;
    return -1;
  }

  double_value = 70000.1;
  ushort_value = vpMath::saturate<unsigned short>(double_value);
  if(ushort_value != USHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(70000.1)=" << ushort_value << " / should be " << USHRT_MAX << std::endl;
    return -1;
  }

  double_value = -10000.1;
  ushort_value = vpMath::saturate<unsigned short>(double_value);
  if(ushort_value != 0) {
    std::cerr << "Fail: vpMath::saturate<unsigned short>(-10000.1)=" << ushort_value << " / should be 0" << std::endl;
    return -1;
  }
  std::cout << "vpMath::saturate<unsigned short>() is Ok !" << std::endl;


  //short
  ushort_value = 60000;
  short_value = vpMath::saturate<short>(ushort_value);
  if(short_value != SHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<short>(60000)=" << short_value << " / should be " << SHRT_MAX << std::endl;
    return -1;
  }

  int_value = 70000;
  short_value = vpMath::saturate<short>(int_value);
  if(short_value != SHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<short>(70000)=" << short_value << " / should be " << SHRT_MAX << std::endl;
    return -1;
  }

  int_value = -70000;
  short_value = vpMath::saturate<short>(int_value);
  if(short_value != SHRT_MIN) {
    std::cerr << "Fail: vpMath::saturate<short>(-70000)=" << short_value << " / should be " << SHRT_MIN << std::endl;
    return -1;
  }

  uint_value = 70000;
  short_value = vpMath::saturate<short>(uint_value);
  if(short_value != SHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<short>(70000)=" << short_value << " / should be " << SHRT_MAX << std::endl;
    return -1;
  }

  float_value = 70000.1f;
  short_value = vpMath::saturate<short>(float_value);
  if(short_value != SHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<short>(70000.1f)=" << short_value << " / should be " << SHRT_MAX << std::endl;
    return -1;
  }

  float_value = -70000.1f;
  short_value = vpMath::saturate<short>(float_value);
  if(short_value != SHRT_MIN) {
    std::cerr << "Fail: vpMath::saturate<short>(-70000.1f)=" << short_value << " / should be " << SHRT_MIN << std::endl;
    return -1;
  }

  double_value = 70000.1;
  short_value = vpMath::saturate<short>(double_value);
  if(short_value != SHRT_MAX) {
    std::cerr << "Fail: vpMath::saturate<short>(70000.1)=" << short_value << " / should be " << SHRT_MAX << std::endl;
    return -1;
  }

  double_value = -70000.1;
  short_value = vpMath::saturate<short>(double_value);
  if(short_value != SHRT_MIN) {
    std::cerr << "Fail: vpMath::saturate<short>(70000.1)=" << short_value << " / should be " << SHRT_MIN << std::endl;
    return -1;
  }
  std::cout << "vpMath::saturate<short>() is Ok !" << std::endl;


  //Test mean, median and standard deviation against Matlab with rng(0) and rand(10,1)*10
  std::vector<double> vectorOfDoubles(10);
  vectorOfDoubles[0] = 8.1472;
  vectorOfDoubles[1] = 9.0579;
  vectorOfDoubles[2] = 1.2699;
  vectorOfDoubles[3] = 9.1338;
  vectorOfDoubles[4] = 6.3236;
  vectorOfDoubles[5] = 0.9754;
  vectorOfDoubles[6] = 2.7850;
  vectorOfDoubles[7] = 5.4688;
  vectorOfDoubles[8] = 9.5751;
  vectorOfDoubles[9] = 9.6489;


  double res = vpMath::getMean(vectorOfDoubles);
  if(!vpMath::equal(res, 6.2386, 0.001)) {
    std::cerr << "Problem with vpMath::getMean()=" << res << std::endl;
    return -1;
  }
  std::cout << "vpMath::getMean() is Ok !" << std::endl;

  res = vpMath::getStdev(vectorOfDoubles);
  if(!vpMath::equal(res, 3.2810, 0.001)) {
    std::cerr << "Problem with vpMath::getStdev()=" << res << std::endl;
    return -1;
  }

  res = vpMath::getStdev(vectorOfDoubles, true);
  if(!vpMath::equal(res, 3.4585, 0.001)) {
    std::cerr << "Problem with vpMath::getStdev() with Bessel correction=" << res << std::endl;
    return -1;
  }
  std::cout << "vpMath::getStdev() is Ok !" << std::endl;

  res = vpMath::getMedian(vectorOfDoubles);
  if(!vpMath::equal(res, 7.2354, 0.001)) {
    std::cerr << "Problem with vpMath::getMedian()=" << res << std::endl;
    return -1;
  }

  //Test median with odd number of elements
  vectorOfDoubles.push_back(1.5761);
  res = vpMath::getMedian(vectorOfDoubles);
  if(!vpMath::equal(res, 6.3236, 0.001)) {
    std::cerr << "Problem with vpMath::getMedian()=" << res << std::endl;
    return -1;
  }
  std::cout << "vpMath::getMedian() is Ok !" << std::endl;


  std::cout << "OK !" << std::endl;
  return 0;
}