File: itkCompensatedSummationTest.cxx

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/*=========================================================================
 *
 *  Copyright Insight Software Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *         http://www.apache.org/licenses/LICENSE-2.0.txt
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 *
 *=========================================================================*/
#include "itkCompensatedSummation.h"
#include "itkStdStreamStateSave.h"

#include "itkMath.h"
#include "itkMersenneTwisterRandomVariateGenerator.h"

int itkCompensatedSummationTest( int, char * [] )
{
// Save the format stream variables for std::cout
// They will be restored when coutState goes out of scope
// scope.
  itk::StdStreamStateSave coutState(std::cout);

  typedef float FloatType;
  long int seedValue = 17;

  const FloatType expectedMean = 0.5;

  const itk::SizeValueType accumSize = 50000000;

  typedef itk::Statistics::MersenneTwisterRandomVariateGenerator GeneratorType;
  GeneratorType::Pointer generator = GeneratorType::New();
  generator->Initialize( seedValue );

  FloatType vanillaSum = 0.0;
  typedef itk::CompensatedSummation< FloatType > CompensatedSummationType;
  CompensatedSummationType floatAccumulator;
  FloatType randomNumber;
  for( itk::SizeValueType ii = 0; ii < accumSize; ++ii )
    {
    randomNumber = generator->GetVariate();
    vanillaSum += randomNumber;
    floatAccumulator.AddElement( randomNumber );
    }
  const FloatType vanillaMean      = vanillaSum / static_cast< FloatType >( accumSize );
  const FloatType vanillaError     = itk::Math::abs( vanillaMean - expectedMean );
  const FloatType accumulatorSum   = floatAccumulator.GetSum();
  const FloatType accumulatorMean  = accumulatorSum / static_cast< FloatType >( accumSize );
  const FloatType accumulatorError = itk::Math::abs( accumulatorMean - expectedMean );

  std::cout << "The expected mean is:     " << expectedMean << std::endl;

  std::cout << "The vanilla sum is:       " << vanillaSum << std::endl;
  std::cout << "The vanilla mean is:      " << vanillaMean << std::endl;
  std::cout << "The vanilla error is:     " << vanillaError << std::endl;

  std::cout << "The accumulator sum is:   " << accumulatorSum << std::endl;
  std::cout << "The accumulator mean is:  " << accumulatorMean << std::endl;
  std::cout << "The accumulator error is: " << accumulatorError << std::endl;

  if( vanillaError <= accumulatorError || accumulatorError > 1.0e-4 )
    {
    std::cerr << "The compensated summation did not compensate well (crazy compiler flags?)." << std::endl;
    return EXIT_FAILURE;
    }

  // exercise other methods
  CompensatedSummationType floatAccumulatorCopy = floatAccumulator;
  if( itk::Math::NotExactlyEquals(floatAccumulatorCopy.GetSum(), floatAccumulator.GetSum()) )
    {
    std::cerr << "The copy constructor failed." << std::endl;
    return EXIT_FAILURE;
    }

  CompensatedSummationType floatAccumulatorCopy2;
  floatAccumulatorCopy2 = floatAccumulator;
  if( itk::Math::NotExactlyEquals(floatAccumulatorCopy2.GetSum(), floatAccumulator.GetSum()) )
    {
    std::cerr << "The assignment operator failed." << std::endl;
    return EXIT_FAILURE;
    }

  floatAccumulator += randomNumber;
  floatAccumulator -= randomNumber;
  if( itk::Math::NotAlmostEquals( floatAccumulatorCopy2.GetSum(), floatAccumulator.GetSum() ) )
    {
    std::cerr << "The operator+= and operator-= are not reversible." << std::endl;
    return EXIT_FAILURE;
    }

  floatAccumulator *= randomNumber;
  floatAccumulator /= randomNumber;
  if( itk::Math::NotAlmostEquals( floatAccumulatorCopy2.GetSum(), floatAccumulator.GetSum() ) )
    {
    std::cerr << "The operator*= and operator/= are not reversible." << std::endl;
    return EXIT_FAILURE;
    }

  floatAccumulator.ResetToZero();
  if( itk::Math::NotAlmostEquals( floatAccumulator.GetSum(), itk::NumericTraits< FloatType >::ZeroValue() ) )
    {
    std::cerr << "GetSize() did return the correct value!" << std::endl;
    return EXIT_FAILURE;
    }

  floatAccumulator = 2.0;
  if( floatAccumulator.GetSum() != 2.0 )
    {
    std::cerr << "operator= did not set the value." << std::endl;
    return EXIT_FAILURE;
    }

  return EXIT_SUCCESS;
}