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/*=========================================================================
*
* Copyright UMC Utrecht and contributors
*
* 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 "itkBSplineInterpolationSecondOrderDerivativeWeightFunction.h"
#include <ctime>
#include <iomanip>
//-------------------------------------------------------------------------------------
int
main( int argc, char * argv[] )
{
/** Some basic type definitions.
* NOTE: don't change the dimension or the spline order, since the
* hard-coded ground truth depends on this.
*/
const unsigned int Dimension = 2;
const unsigned int SplineOrder = 3;
typedef float CoordinateRepresentationType;
const double distance = 1e-3; // the allowable distance
//const double allowedTimeDifference = 0.1; // 10% is considered within limits
/** The number of calls to Evaluate(). This number gives reasonably
* fast test results in Release mode.
*/
unsigned int N = static_cast< unsigned int >( 1e6 );
/** Other typedefs. */
typedef itk::BSplineInterpolationSecondOrderDerivativeWeightFunction<
CoordinateRepresentationType,
Dimension, SplineOrder > SODerivativeWeightFunctionType;
typedef SODerivativeWeightFunctionType::ContinuousIndexType ContinuousIndexType;
typedef SODerivativeWeightFunctionType::WeightsType WeightsType;
std::cerr << "TESTING:\n" << std::endl;
/**
* *********** TESTING 1 ************************************************
*/
std::cerr << "\nTESTING: derivatives (0,1)\n" << std::endl;
/** Construct several weight functions. */
SODerivativeWeightFunctionType::Pointer soWeightFunction
= SODerivativeWeightFunctionType::New();
/** Create and fill a continuous index.
* NOTE: don't change this, since the hard-coded ground truth depends on this.
*/
ContinuousIndexType cindex;
cindex[ 0 ] = 3.1f;
cindex[ 1 ] = -2.2f;
soWeightFunction->SetDerivativeDirections( 0, 1 );
/** Run evaluate for the second order derivative. */
WeightsType soWeights = soWeightFunction->Evaluate( cindex );
std::cerr << "weights (2nd order) " << soWeights << std::endl;
/** Hard code the ground truth. You should change this if you change the
* spline order.
*
* x1 = 3.1 -> support y1 = 2 3 4 5 -> x1 - y1 = 1.1 0.1 -0.9 -1.9
* x2 = -2.2 -> support y2 = -4 -3 -3 -1 -> x2 - y2 = 1.8 0.8 -0.2 -1.2
*
* B3 is the third order B-spline. ?etc means repeat ? for ever.
* The coefficients are:
* [ B2(x1-y1i+1/2)-B2(x1-y1i-1/2) ] * [ B2(x2-y2i+1/2)-B2(x2-y2i-1/2) ]
*
* B3d( 1.1 ) = -0.405
* B3d( 0.1 ) = -0.185
* B3d( -0.9 ) = 0.585
* B3d( -1.9 ) = 0.005
* B3d( 1.8 ) = -0.02
* B3d( 0.8 ) = -0.64
* B3d( -0.2 ) = 0.34
* B3d( -1.2 ) = 0.32
*
* -> i
* 0.0081 0.0037 -0.0117 -0.0001
* | 0.2592 0.1184 -0.3744 -0.0032
* j -0.1377 -0.0629 0.1989 0.0017
* -0.1296 -0.0592 0.1872 0.0016
*
* These numbers are created by a small Matlab program. So, if this appears
* to be not a valid check, then we made the same bug twice.
*/
WeightsType trueSOWeights( 16 );
trueSOWeights.Fill( 0.0 );
trueSOWeights[ 0 ] = 0.0081;
trueSOWeights[ 1 ] = 0.0037;
trueSOWeights[ 2 ] = -0.0117;
trueSOWeights[ 3 ] = -0.0001;
trueSOWeights[ 4 ] = 0.2592;
trueSOWeights[ 5 ] = 0.1184;
trueSOWeights[ 6 ] = -0.3744;
trueSOWeights[ 7 ] = -0.0032;
trueSOWeights[ 8 ] = -0.1377;
trueSOWeights[ 9 ] = -0.0629;
trueSOWeights[ 10 ] = 0.1989;
trueSOWeights[ 11 ] = 0.0017;
trueSOWeights[ 12 ] = -0.1296;
trueSOWeights[ 13 ] = -0.0592;
trueSOWeights[ 14 ] = 0.1872;
trueSOWeights[ 15 ] = 0.0016;
/** Compute the distance between the two vectors. */
double error = 0.0;
for( unsigned int i = 0; i < soWeights.Size(); ++i )
{
error += vnl_math::sqr( soWeights[ i ] - trueSOWeights[ i ] );
}
error = std::sqrt( error );
/** TEST: Compare the two qualitatively. */
if( error > distance )
{
std::cerr << "ERROR: the first order weights differs more than "
<< distance << " from the truth." << std::endl;
return 1;
}
std::cerr << std::showpoint;
std::cerr << std::scientific;
std::cerr << std::setprecision( 4 );
std::cerr << "The distance is: " << error << std::endl;
/** Time the so implementation. */
clock_t startClock = clock();
for( unsigned int i = 0; i < N; ++i )
{
soWeightFunction->Evaluate( cindex );
}
clock_t endClock = clock();
clock_t elapsed = endClock - startClock;
std::cerr << "The elapsed time for the 2nd order derivative (0,1) is: "
<< elapsed << std::endl;
/**
* *********** TESTING 2 ************************************************
*/
std::cerr << "\n--------------------------------------------------------";
std::cerr << "\nTESTING: derivatives (0,0)\n" << std::endl;
/** Run evaluate for the second order derivative. */
soWeightFunction->SetDerivativeDirections( 0, 0 );
soWeights = soWeightFunction->Evaluate( cindex );
std::cerr << "weights (2nd order) " << soWeights << std::endl;
/** Hard code the ground truth. You should change this if you change the
* spline order.
*
* x1 = 3.1 -> support y1 = 2 3 4 5 -> x1 - y1 = 1.1 0.1 -0.9 -1.9
* x2 = -2.2 -> support y2 = -4 -3 -3 -1 -> x2 - y2 = 1.8 0.8 -0.2 -1.2
*
* B3 is the third order B-spline. ?etc means repeat ? for ever.
* The coefficients are:
* [ B1(x1-y1i+1) - 2*B1(x1-y1i) + B1(x1-y1i-1) ] * B3(x2-y2i)
*
* B3dd( 1.1 ) = 0.9
* B3dd( 0.1 ) = -1.7
* B3dd( -0.9 ) = 0.7
* B3dd( -1.9 ) = 0.1
* B3 ( 1.8 ) = 0.0013etc
* B3 ( 0.8 ) = 0.2826etc
* B3 ( -0.2 ) = 0.6306etc
* B3 ( -1.2 ) = 0.0853etc
*
* -> i
* 0.0012 -0.00226/ 9.3/e-4 1.3/e-4
* | 0.2544 -0.48053/ 0.19786/ 0.02826/
* j 0.5676 -1.07213/ 0.44146/ 0.06306/
* 0.0768 -0.14506/ 0.05973/ 0.00853/
*
* These numbers are created by a small Matlab program. So, if this appears
* to be not a valid check, then we made the same bug twice.
*/
trueSOWeights.Fill( 0.0 );
trueSOWeights[ 0 ] = 1.200000000000e-3;
trueSOWeights[ 1 ] = -2.266666666666e-3;
trueSOWeights[ 2 ] = 9.333333333333e-4;
trueSOWeights[ 3 ] = 1.333333333333e-4;
trueSOWeights[ 4 ] = 2.544000000000e-1;
trueSOWeights[ 5 ] = -4.805333333333e-1;
trueSOWeights[ 6 ] = 1.978666666666e-1;
trueSOWeights[ 7 ] = 2.826666666666e-2;
trueSOWeights[ 8 ] = 5.676000000000e-1;
trueSOWeights[ 9 ] = -1.072133333333;
trueSOWeights[ 10 ] = 4.414666666666e-1;
trueSOWeights[ 11 ] = 6.306666666666e-2;
trueSOWeights[ 12 ] = 7.680000000000e-2;
trueSOWeights[ 13 ] = -1.450666666666e-1;
trueSOWeights[ 14 ] = 5.973333333333e-2;
trueSOWeights[ 15 ] = 8.533333333333e-3;
/** Compute the distance between the two vectors. */
error = 0.0;
for( unsigned int i = 0; i < soWeights.Size(); ++i )
{
error += vnl_math::sqr( soWeights[ i ] - trueSOWeights[ i ] );
}
error = std::sqrt( error );
/** TEST: Compare the two qualitatively. */
if( error > distance )
{
std::cerr << "ERROR: the first order weights differs more than "
<< distance << " from the truth." << std::endl;
return 1;
}
std::cerr << std::showpoint;
std::cerr << std::scientific;
std::cerr << std::setprecision( 4 );
std::cerr << "The distance is: " << error << std::endl;
/** Time the so implementation. */
startClock = clock();
for( unsigned int i = 0; i < N; ++i )
{
soWeightFunction->Evaluate( cindex );
}
endClock = clock();
elapsed = endClock - startClock;
std::cerr << "The elapsed time for the 2nd order derivative (0,0) is: "
<< elapsed << std::endl;
/**
* *********** Function TESTING ****************************************
*/
std::cerr << "\n--------------------------------------------------------";
std::cerr << "\nFunction TESTING:\n" << std::endl;
/** Just call all available public functions. */
SODerivativeWeightFunctionType::IndexType startIndex;
SODerivativeWeightFunctionType::IndexType trueStartIndex;
trueStartIndex[ 0 ] = 2;
trueStartIndex[ 1 ] = -4;
soWeightFunction->ComputeStartIndex( cindex, startIndex );
if( startIndex != trueStartIndex )
{
std::cerr << "ERROR: wrong start index was computed." << std::endl;
return 1;
}
SODerivativeWeightFunctionType::SizeType trueSize;
trueSize.Fill( SplineOrder + 1 );
if( soWeightFunction->GetSupportSize() != trueSize )
{
std::cerr << "ERROR: wrong support size was computed." << std::endl;
return 1;
}
if( soWeightFunction->GetNumberOfWeights()
!= static_cast< unsigned long >( std::pow(
static_cast< float >( SplineOrder + 1 ), 2.0f ) ) )
{
std::cerr << "ERROR: wrong number of weights was computed." << std::endl;
return 1;
}
std::cerr << "All public functions returned valid output." << std::endl;
/**
* *********** PrintSelf TESTING ****************************************
*/
std::cerr << "\n--------------------------------------------------------";
std::cerr << "\nPrintSelf() TESTING:\n" << std::endl;
soWeightFunction->Print( std::cerr, 0 );
/** Return a value. */
return 0;
} // end main
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