vtk-m2/vtkm/worklet/wavelets/WaveletTransforms.h
2016-09-13 13:10:38 -06:00

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49 KiB
C++

//============================================================================
// Copyright (c) Kitware, Inc.
// All rights reserved.
// See LICENSE.txt for details.
// This software is distributed WITHOUT ANY WARRANTY; without even
// the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
// PURPOSE. See the above copyright notice for more information.
//
// Copyright 2014 Sandia Corporation.
// Copyright 2014 UT-Battelle, LLC.
// Copyright 2014 Los Alamos National Security.
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
//
// Under the terms of Contract DE-AC52-06NA25396 with Los Alamos National
// Laboratory (LANL), the U.S. Government retains certain rights in
// this software.
//============================================================================
#ifndef vtk_m_worklet_Wavelets_h
#define vtk_m_worklet_Wavelets_h
#include <vtkm/worklet/WorkletMapField.h>
#include <vtkm/worklet/DispatcherMapField.h>
#include <vtkm/Math.h>
namespace vtkm {
namespace worklet {
namespace wavelets {
enum DWTMode { // boundary extension modes
SYMH,
SYMW,
ASYMH,
ASYMW
};
enum ExtensionDirection2D { // which side of a matrix to extend
LEFT,
RIGHT,
TOP,
BOTTOM
};
class IndexTranslator3Matrices
{
public:
IndexTranslator3Matrices( vtkm::Id x_1, vtkm::Id x_2, vtkm::Id x_3,
vtkm::Id y_1, vtkm::Id y_2, vtkm::Id y_3, bool mode ) :
x1(x_1), x2(x_2), x3(x_3),
y1(y_1), y2(y_2), y3(y_3), mode_lr(mode) {}
void Translate2Dto1D( vtkm::Id inX, vtkm::Id inY, // 2D indices as input
vtkm::Id &mat, vtkm::Id &idx ) const // which matrix, and idx of that matrix
{
if( mode_lr ) // left-right mode
{
if( inX < 0 )
vtkm::cont::ErrorControlInternal("Invalid index!");
else if ( 0 <= inX && inX < x1 )
{
mat = 0;
idx = inY * x1 + inX;
}
else if ( x1 <= inX && inX < (x1 + x2) )
{
mat = 1;
idx = inY * x2 + (inX - x1);
}
else if ( (x1 + x2) <= inX && inX < (x1 + x2 + x3) )
{
mat = 2;
idx = inY * x3 + (inX - x1 - x2);
}
else
vtkm::cont::ErrorControlInternal("Invalid index!");
}
else // top-down mode
{
if( inY < 0 )
vtkm::cont::ErrorControlInternal("Invalid index!");
else if ( 0 <= inY && inY < y1 )
{
mat = 0;
idx = inY * x1 + inX;
}
else if ( y1 <= inY && inY < (y1 + y2) )
{
mat = 1;
idx = (inY - y1) * x1 + inX;
}
else if ( (y1 + y2) <= inY && inY < (y1 + y2 + y3) )
{
mat = 2;
idx = (inY - y1 - y2) * x1 + inX;
}
else
vtkm::cont::ErrorControlInternal("Invalid index!");
}
}
private:
const vtkm::Id x1, x2, x3, y1, y2, y3; // dimensions of 3 matrices.
const bool mode_lr; // true: left right mode; false: top down mode.
};
// Worklet: perform a simple 2D forward transform
template< typename DeviceTag >
class ForwardTransform2Dv3: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // left/top extension
WholeArrayIn<ScalarAll>, // sigIn
WholeArrayIn<ScalarAll>, // right/bottom extension
WholeArrayOut<ScalarAll>); // cA followed by cD
typedef void ExecutionSignature(_1, _2, _3, _4, WorkIndex);
typedef _4 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
ForwardTransform2Dv3( const vtkm::cont::ArrayHandle<vtkm::Float64> &loFilter,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hiFilter,
vtkm::Id filter_len, vtkm::Id approx_len,
bool odd_low, bool mode_lr,
vtkm::Id x1, vtkm::Id y1, vtkm::Id x2, vtkm::Id y2,
vtkm::Id x3, vtkm::Id y3 )
: lowFilter( loFilter.PrepareForInput( DeviceTag() ) ),
highFilter( hiFilter.PrepareForInput( DeviceTag() ) ),
filterLen( filter_len ), approxLen( approx_len ),
outDimX( x2 ), outDimY( y2 ),
oddlow( odd_low ), modeLR( mode_lr ),
translator( x1, x2, x3, y1, y2, y3, mode_lr )
{ this->SetStartPosition(); }
VTKM_EXEC_CONT_EXPORT
void Output1Dto2D( vtkm::Id idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % outDimX;
y = idx / outDimX;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Output2Dto1D( vtkm::Id x, vtkm::Id y ) const
{
return y * outDimX + x;
}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InPortalType1, typename InPortalType2, typename InPortalType3 >
VTKM_EXEC_CONT_EXPORT
VAL GetVal( const InPortalType1 &portal1, const InPortalType2 &portal2,
const InPortalType3 &portal3, vtkm::Id inMatrix, vtkm::Id inIdx ) const
{
if( inMatrix == 1 )
return MAKEVAL( portal1.Get(inIdx) );
else if( inMatrix == 2 )
return MAKEVAL( portal2.Get(inIdx) );
else if( inMatrix == 3 )
return MAKEVAL( portal3.Get(inIdx) );
else
{
vtkm::cont::ErrorControlInternal("Invalid matrix index!");
return -1;
}
}
template <typename InPortalType1, typename InPortalType2,
typename InPortalType3, typename OutputPortalType>
VTKM_EXEC_EXPORT
void operator()(const InPortalType1 &inPortal1, // left/top extension
const InPortalType2 &inPortal2, // signal
const InPortalType3 &inPortal3, // right/bottom extension
OutputPortalType &coeffOut,
const vtkm::Id &workIndex) const
{
vtkm::Id outputX, outputY, output1D;
Output1Dto2D( workIndex, outputX, outputY );
vtkm::Id inputX = outputX;
vtkm::Id inputY = outputY;
vtkm::Id inputMatrix, inputIdx;
typedef typename OutputPortalType::ValueType OutputValueType;
if( modeLR )
{
if( inputX % 2 == 0 ) // calculate cA
{
vtkm::Id xl = xlstart + inputX;
VAL sum = MAKEVAL(0.0);
for( vtkm::Id k = filterLen - 1; k > -1; k-- )
{
translator.Translate2Dto1D( xl, inputY, inputMatrix, inputIdx );
sum += lowFilter.Get(k) *
GetVal( inPortal1, inPortal2, inPortal3, inputMatrix, inputIdx );
xl++;
}
output1D = Output2Dto1D( inputX/2, outputY );
coeffOut.Set( output1D, static_cast<OutputValueType>(sum) );
}
else // calculate cD
{
vtkm::Id xh = xhstart + inputX - 1;
VAL sum=MAKEVAL(0.0);
for( vtkm::Id k = filterLen - 1; k > -1; k-- )
{
translator.Translate2Dto1D( xh, inputY, inputMatrix, inputIdx );
sum += highFilter.Get(k) *
GetVal( inPortal1, inPortal2, inPortal3, inputMatrix, inputIdx );
xh++;
}
output1D = Output2Dto1D( (inputX-1)/2 + approxLen, outputY );
coeffOut.Set( output1D, static_cast<OutputValueType>(sum) );
}
}
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen, approxLen;
const vtkm::Id outDimX, outDimY;
bool oddlow;
bool modeLR; // true = left right; false = top down.
const IndexTranslator3Matrices translator;
vtkm::Id xlstart, xhstart;
VTKM_EXEC_CONT_EXPORT
void SetStartPosition()
{
this->xlstart = this->oddlow ? 1 : 0;
this->xhstart = 1;
}
};
// Worklet for 2D signal extension
class ExtensionWorklet2D : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
typedef vtkm::Id Id;
// Constructor
VTKM_EXEC_CONT_EXPORT
ExtensionWorklet2D( Id x1, Id y1, Id x2, Id y2, DWTMode m,
ExtensionDirection2D dir, bool pad_zero)
: extDimX( x1 ), extDimY( y1 ), sigDimX( x2 ), sigDimY( y2 ),
mode(m), direction( dir ), padZero( pad_zero ) {}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
void Ext1Dto2D ( Id idx, Id &x, Id &y ) const
{
x = idx % extDimX;
y = idx / extDimX;
}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
Id Sig2Dto1D( Id x, Id y ) const
{
return y * sigDimX + x;
}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
Id extX, extY, sigX, sigY;
Ext1Dto2D( workIndex, extX, extY );
typename PortalOutType::ValueType sym = 1.0;
if( mode == ASYMH || mode == ASYMW )
sym = -1.0;
if( direction == LEFT )
{
sigY = extY;
if( mode == SYMH || mode == ASYMH )
sigX = extDimX - extX - 1;
else // mode == SYMW || mode == ASYMW
sigX = extDimX - extX;
}
else if( direction == TOP )
{
sigX = extX;
if( mode == SYMH || mode == ASYMH )
sigY = extDimY - extY - 1;
else // mode == SYMW || mode == ASYMW
sigY = extDimY - extY;
}
else if( direction == RIGHT )
{
sigY = extY;
if( mode == SYMH || mode == ASYMH )
sigX = sigDimX - extX - 1;
else
sigX = sigDimX - extX - 2;
if( padZero )
sigX++;
}
else // direction == BOTTOM
{
sigX = extX;
if( mode == SYMH || mode == ASYMH )
sigY = sigDimY - extY - 1;
else
sigY = sigDimY - extY - 2;
if( padZero )
sigY++;
}
if( sigX == sigDimX || sigY == sigDimY )
portalOut.Set( workIndex, 0.0 );
else
portalOut.Set( workIndex, sym * portalIn.Get( Sig2Dto1D(sigX, sigY) ) );
}
private:
const vtkm::Id extDimX, extDimY, sigDimX, sigDimY;
const ExtensionDirection2D direction;
const DWTMode mode;
const bool padZero; // only applicable when direction is right or bottom.
};
// Worklet: perform a simple forward transform
template< typename DeviceTag >
class ForwardTransform: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // sigIn
WholeArrayOut<ScalarAll>); // cA followed by cD
typedef void ExecutionSignature(_1, _2, WorkIndex);
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
ForwardTransform( const vtkm::cont::ArrayHandle<vtkm::Float64> &loFilter,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hiFilter,
vtkm::Id filLen, vtkm::Id approx_len, vtkm::Id detail_len,
bool odd_low, bool odd_high ) :
lowFilter( loFilter.PrepareForInput(DeviceTag()) ),
highFilter( hiFilter.PrepareForInput(DeviceTag()) ),
filterLen( filLen ),
approxLen( approx_len ),
detailLen( detail_len ),
oddlow ( odd_low ),
oddhigh ( odd_high )
{ this->SetStartPosition(); }
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InputPortalType, typename OutputPortalType>
VTKM_EXEC_EXPORT
void operator()(const InputPortalType &signalIn,
OutputPortalType &coeffOut,
const vtkm::Id &workIndex) const
{
typedef typename OutputPortalType::ValueType OutputValueType;
if( workIndex < approxLen + detailLen )
{
if( workIndex % 2 == 0 ) // calculate cA
{
vtkm::Id xl = xlstart + workIndex;
VAL sum=MAKEVAL(0.0);
for( vtkm::Id k = filterLen - 1; k >= 0; k-- )
sum += lowFilter.Get(k) * MAKEVAL( signalIn.Get(xl++) );
vtkm::Id outputIdx = workIndex / 2; // put cA at the beginning
coeffOut.Set( outputIdx, static_cast<OutputValueType>(sum) );
}
else // calculate cD
{
VAL sum=MAKEVAL(0.0);
vtkm::Id xh = xhstart + workIndex - 1;
for( vtkm::Id k = filterLen - 1; k >= 0; k-- )
sum += highFilter.Get(k) * MAKEVAL( signalIn.Get(xh++) );
vtkm::Id outputIdx = approxLen + (workIndex-1) / 2; // put cD after cA
coeffOut.Set( outputIdx, static_cast<OutputValueType>(sum) );
}
}
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen, approxLen, detailLen; // filter and outcome coeff length.
bool oddlow, oddhigh;
vtkm::Id xlstart, xhstart;
VTKM_EXEC_CONT_EXPORT
void SetStartPosition()
{
this->xlstart = this->oddlow ? 1 : 0;
this->xhstart = this->oddhigh ? 1 : 0;
}
};
// Worklet: perform a simple 2D inverse transform on odd length filters
template< typename DeviceTag >
class InverseTransform2DOdd: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayIn< ScalarAll >, // input extended signal
FieldOut< ScalarAll> ); // outptu coeffs
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _2 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
InverseTransform2DOdd( const vtkm::cont::ArrayHandle<vtkm::Float64> &lo_fil,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hi_fil,
vtkm::Id fil_len, vtkm::Id x1, vtkm::Id y1, vtkm::Id x2,
vtkm::Id y2, vtkm::Id cA_len_ext )
: lowFilter( lo_fil.PrepareForInput( DeviceTag() ) ),
highFilter( hi_fil.PrepareForInput( DeviceTag() ) ),
filterLen( fil_len ), inputDimX( x1 ), inputDimY( y1 ),
outputDimX( x2 ), outputDimY( y2 ), cALenExtended( cA_len_ext ) {}
VTKM_EXEC_CONT_EXPORT
void Output1Dto2D( const vtkm::Id &idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % outputDimX;
y = idx / outputDimX;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Input2Dto1D( vtkm::Id x, vtkm::Id y ) const
{
return y * inputDimX + x;
}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template< typename InputPortalType, typename OutputValueType >
VTKM_EXEC_EXPORT
void operator() (const InputPortalType &sigIn,
OutputValueType &coeffOut,
const vtkm::Id &workIdx ) const
{
vtkm::Id outX, outY;
Output1Dto2D( workIdx, outX, outY );
vtkm::Id inX = outX;
vtkm::Id inY = outY;
vtkm::Id k1, k2;
VAL sum = 0.0;
if( inX % 2 != 0 )
{
k1 = filterLen - 2;
k2 = filterLen - 1;
}
else
{
k1 = filterLen - 1;
k2 = filterLen - 2;
}
vtkm::Id xi = (inX + 1) / 2;
vtkm::Id sigIdx1D;
while( k1 > -1 )
{
sigIdx1D = Input2Dto1D( xi, inY );
sum += lowFilter.Get(k1) * MAKEVAL( sigIn.Get( sigIdx1D ) );
xi++;
k1 -= 2;
}
xi = inX / 2;
while( k2 > -1 )
{
sigIdx1D = Input2Dto1D( xi + cALenExtended, inY );
sum += highFilter.Get(k2) * MAKEVAL( sigIn.Get( sigIdx1D ) );
xi++;
k2 -= 2;
}
coeffOut = static_cast< OutputValueType> (sum);
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen;
const vtkm::Id inputDimX, inputDimY, outputDimX, outputDimY;
const vtkm::Id cALenExtended; // Number of cA at the beginning of input, followed by cD
};
// Worklet: perform an inverse transform for odd length, symmetric filters.
template< typename DeviceTag >
class InverseTransformOdd: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // Input: coeffs,
// cA followed by cD
WholeArrayOut<ScalarAll>); // output
typedef void ExecutionSignature(_1, _2, WorkIndex);
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
InverseTransformOdd( const vtkm::cont::ArrayHandle<vtkm::Float64> &loFilter,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hiFilter,
vtkm::Id filLen, vtkm::Id ca_len, vtkm::Id ext_len ) :
lowFilter( loFilter.PrepareForInput(DeviceTag()) ),
highFilter( hiFilter.PrepareForInput(DeviceTag()) ),
filterLen( filLen ), cALen( ca_len ),
cALen2( ca_len * 2 ), cALenExtended( ext_len ) {}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InputPortalType, typename OutputPortalType>
VTKM_EXEC_EXPORT
void operator()(const InputPortalType &coeffs,
OutputPortalType &sigOut,
const vtkm::Id &workIndex) const
{
if( workIndex < cALen2 ) // valid calculation region
{
vtkm::Id xi; // coeff indices
vtkm::Id k1, k2; // indices for low and high filter
VAL sum = 0.0;
if( workIndex % 2 != 0 )
{
k1 = this->filterLen - 2;
k2 = this->filterLen - 1;
}
else
{
k1 = this->filterLen - 1;
k2 = this->filterLen - 2;
}
xi = (workIndex+1) / 2;
while( k1 > -1 ) // k1 >= 0
{
sum += lowFilter.Get(k1) * MAKEVAL( coeffs.Get(xi++) );
k1 -= 2;
}
xi = workIndex / 2;
while( k2 > -1 ) // k2 >= 0
{
sum += highFilter.Get(k2) * MAKEVAL( coeffs.Get( this->cALenExtended + xi++ ) );
k2 -= 2;
}
sigOut.Set(workIndex, static_cast<typename OutputPortalType::ValueType>( sum ) );
}
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen; // filter length.
const vtkm::Id cALen; // Number of actual cAs
const vtkm::Id cALen2; // = cALen * 2
const vtkm::Id cALenExtended; // Number of cA at the beginning of input, followed by cD
};
// Worklet: perform an inverse transform for even length, symmetric filters.
template< typename DeviceTag >
class InverseTransform2DEven: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // Input: coeffs,
// cA followed by cD
FieldOut<ScalarAll>); // output
typedef void ExecutionSignature(_1, _2, WorkIndex);
typedef _2 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
InverseTransform2DEven( const vtkm::cont::ArrayHandle<vtkm::Float64> &lo_fil,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hi_fil,
vtkm::Id filtL, vtkm::Id x1, vtkm::Id y1,
vtkm::Id x2, vtkm::Id y2, vtkm::Id cALExt )
: lowFilter( lo_fil.PrepareForInput( DeviceTag() ) ),
highFilter( hi_fil.PrepareForInput( DeviceTag() ) ),
filterLen(filtL), inputDimX( x1 ), inputDimY( y1 ),
outputDimX( x2 ), outputDimY( y2 ), cALenExtended(cALExt) {}
VTKM_EXEC_CONT_EXPORT
void Output1Dto2D( const vtkm::Id &idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % outputDimX;
y = idx / outputDimX;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Input2Dto1D( vtkm::Id x, vtkm::Id y ) const
{
return y * inputDimX + x;
}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InputPortalType, typename OutputValueType>
VTKM_EXEC_EXPORT
void operator()(const InputPortalType &coeffs,
OutputValueType &sigOut,
const vtkm::Id &workIndex) const
{
vtkm::Id outX, outY;
Output1Dto2D( workIndex, outX, outY );
vtkm::Id inX = outX;
vtkm::Id inY = outY;
vtkm::Id xi, k;
VAL sum = 0.0;
if( (filterLen/2) % 2 != 0 ) // odd length half filter
{
xi = inX / 2;
if( inX % 2 != 0 )
k = filterLen - 1;
else
k = filterLen - 2;
}
else
{
xi = (inX + 1) / 2;
if( inX % 2 != 0 )
k = filterLen - 2;
else
k = filterLen - 1;
}
vtkm::Id cAIdx1D, cDIdx1D;
while( k > -1 ) // k >= 0
{
cAIdx1D = Input2Dto1D( xi, inY );
cDIdx1D = Input2Dto1D( xi + cALenExtended, inY );
sum += lowFilter.Get(k) * MAKEVAL( coeffs.Get( cAIdx1D ) ) + // cA
highFilter.Get(k) * MAKEVAL( coeffs.Get( cDIdx1D ) ); // cD
xi++;
k -= 2;
}
sigOut = static_cast<OutputValueType>( sum );
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen; // filter length.
const vtkm::Id inputDimX, inputDimY, outputDimX, outputDimY;
const vtkm::Id cALenExtended; // Number of cA at the beginning of input, followed by cD
};
// Worklet: perform an inverse transform for even length, symmetric filters.
template< typename DeviceTag >
class InverseTransformEven: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // Input: coeffs,
// cA followed by cD
WholeArrayOut<ScalarAll>); // output
typedef void ExecutionSignature(_1, _2, WorkIndex);
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
InverseTransformEven( const vtkm::cont::ArrayHandle<vtkm::Float64> &loFilter,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hiFilter,
vtkm::Id filtL, vtkm::Id cAL, vtkm::Id cALExt, bool m ) :
lowFilter( loFilter.PrepareForInput(DeviceTag()) ),
highFilter( hiFilter.PrepareForInput(DeviceTag()) ),
filterLen( filtL ), cALen( cAL ), cALen2( cAL * 2 ),
cALenExtended( cALExt ), matlab( m ) {}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InputPortalType, typename OutputPortalType>
VTKM_EXEC_EXPORT
void operator()(const InputPortalType &coeffs,
OutputPortalType &sigOut,
const vtkm::Id &workIndex) const
{
if( workIndex < cALen2 ) // valid calculation region
{
vtkm::Id xi; // coeff indices
vtkm::Id k; // indices for low and high filter
VAL sum = 0.0;
if( matlab || (filterLen/2) % 2 != 0 ) // odd length half filter
{
xi = workIndex / 2;
if( workIndex % 2 != 0 )
k = filterLen - 1;
else
k = filterLen - 2;
}
else
{
xi = (workIndex + 1) / 2;
if( workIndex % 2 != 0 )
k = filterLen - 2;
else
k = filterLen - 1;
}
while( k > -1 ) // k >= 0
{
sum += lowFilter.Get(k) * MAKEVAL( coeffs.Get( xi ) ) + // cA
highFilter.Get(k) * MAKEVAL( coeffs.Get( xi + cALenExtended) ); // cD
xi++;
k -= 2;
}
sigOut.Set(workIndex, static_cast<typename OutputPortalType::ValueType>( sum ) );
}
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen; // filter length.
const vtkm::Id cALen; // Number of actual cAs
const vtkm::Id cALen2; // = cALen * 2
const vtkm::Id cALenExtended; // Number of cA at the beginning of input, followed by cD
bool matlab; // followed the naming convention from VAPOR
// It's always false for the 1st 4 filters.
};
// Worklet:
class ThresholdWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( FieldInOut <ScalarAll> ); // Thresholding in-place
typedef void ExecutionSignature( _1 );
typedef _1 InputDomain;
// Constructor
ThresholdWorklet( vtkm::Float64 t ) : threshold( t ), // must pass in a positive val
neg_threshold( t*-1.0 ) {}
template <typename ValueType >
VTKM_EXEC_EXPORT
void operator()( ValueType &coeffVal ) const
{
if( neg_threshold < coeffVal && coeffVal < threshold )
coeffVal = 0.0;
}
private:
vtkm::Float64 threshold; // positive
vtkm::Float64 neg_threshold; // negative
};
// Worklet:
class SquaredDeviation: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(FieldIn<ScalarAll>,
FieldOut<ScalarAll>);
typedef _2 ExecutionSignature( _1 );
typedef _1 InputDomain;
// Constructor
template <typename ValueType>
VTKM_EXEC_CONT_EXPORT
SquaredDeviation( ValueType t )
{
this->mean = static_cast<vtkm::Float64>(t);
}
template <typename ValueType>
VTKM_EXEC_EXPORT
ValueType operator()( const ValueType &num ) const
{
vtkm::Float64 num64 = static_cast<vtkm::Float64>( num );
vtkm::Float64 diff = this->mean - num64;
return static_cast<ValueType>( diff * diff );
}
private:
vtkm::Float64 mean;
};
// Worklet:
class Differencer: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(FieldIn<ScalarAll>,
FieldIn<ScalarAll>,
FieldOut<ScalarAll>);
typedef _3 ExecutionSignature( _1, _2 );
typedef _1 InputDomain;
template <typename ValueType1, typename ValueType2 >
VTKM_EXEC_EXPORT
ValueType1 operator()( const ValueType1 &v1, const ValueType2 &v2 ) const
{
return v1 - static_cast<ValueType1>(v2);
}
};
// Worklet:
class SquareWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(FieldIn< ScalarAll>,
FieldOut<ScalarAll>);
typedef _2 ExecutionSignature( _1 );
typedef _1 InputDomain;
template <typename ValueType>
VTKM_EXEC_EXPORT
ValueType operator()( const ValueType &v ) const
{
return (v * v);
}
};
// Worklet:
class CopyWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayIn< ScalarAll >,
WholeArrayOut< ScalarAll > );
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
CopyWorklet( vtkm::Id idx )
{
this->startIdx = idx;
}
template< typename PortalInType, typename PortalOutType >
VTKM_EXEC_EXPORT
void operator()( const PortalInType &portalIn,
PortalOutType &portalOut,
const vtkm::Id &workIndex) const
{
portalOut.Set( (startIdx + workIndex), portalIn.Get(workIndex) );
}
private:
vtkm::Id startIdx;
};
// Worklet for signal extension no. 1
class LeftSYMHExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
LeftSYMHExtentionWorklet( vtkm::Id len ) : addLen( len ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get(this->addLen - workIndex - 1) );
}
private:
vtkm::Id addLen;
};
// Worklet for signal extension no. 2
class LeftSYMWExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
LeftSYMWExtentionWorklet( vtkm::Id len ) : addLen( len ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get(this->addLen - workIndex) );
}
private:
vtkm::Id addLen;
};
// Worklet for signal extension no. 3
class LeftASYMHExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
LeftASYMHExtentionWorklet( vtkm::Id len ) : addLen (len) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_CONT_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get( addLen - workIndex - 1) * (-1.0) );
}
private:
vtkm::Id addLen;
};
// Worklet for signal extension no. 4
class LeftASYMWExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
LeftASYMWExtentionWorklet( vtkm::Id len ) : addLen (len) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_CONT_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get( addLen - workIndex ) * (-1.0) );
}
private:
vtkm::Id addLen;
};
// Worklet for 2D signal extension on the right
class RightExtensionWorklet2D : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
typedef vtkm::Id Id;
// Constructor
VTKM_EXEC_CONT_EXPORT
RightExtensionWorklet2D( bool padZero, Id x1, Id y1, Id x2, Id y2, DWTMode m) :
sigPadZero( padZero), extDimX( x1 ), extDimY( y1 ),
sigRealDimX( x2 ), sigRealDimY( y2 ), mode(m) {}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
void Ext1Dto2D( const Id &idx, Id &x, Id &y ) const
{
x = idx % extDimX;
y = idx / extDimX;
}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
Id Sig2Dto1D( Id x, Id y ) const
{
return y * sigRealDimX + x;
}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
Id extX, extY;
Id sigX;
Id sigDimX = sigRealDimX;
if( sigPadZero ) // pretent signal is padded a zero at the end
sigDimX++;
typename PortalOutType::ValueType sym = 1.0;
Ext1Dto2D( workIndex, extX, extY );
if ( mode == SYMH )
sigX = sigDimX - extX - 1;
else if ( mode == SYMW )
sigX = sigDimX - extX - 2;
else if ( mode == ASYMH )
{
sigX = sigDimX - extX - 1;
sym = -1.0;
}
else // mode == ASYMW
{
sigX = sigDimX - extX - 2;
sym = -1.0;
}
if( sigX == sigRealDimX ) // copy from the imaginary zero
portalOut.Set( workIndex, 0.0 );
else
portalOut.Set( workIndex, portalIn.Get( Sig2Dto1D(sigX, extY) ) * sym );
}
private:
const bool sigPadZero; // if to pretend that signal has zero padded
const vtkm::Id extDimX, extDimY;
const vtkm::Id sigRealDimX, sigRealDimY; // real dimX of signal
DWTMode mode;
};
// Worklet for signal extension no. 5
class RightSYMHExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
RightSYMHExtentionWorklet ( vtkm::Id sigInl ) : sigInLen( sigInl ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get(this->sigInLen - workIndex - 1) );
}
private:
vtkm::Id sigInLen;
};
// Worklet for signal extension no. 6
class RightSYMWExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
RightSYMWExtentionWorklet ( vtkm::Id sigInl ) : sigInLen( sigInl ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get(this->sigInLen - workIndex - 2) );
}
private:
vtkm::Id sigInLen;
};
// Worklet for signal extension no. 7
class RightASYMHExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
RightASYMHExtentionWorklet ( vtkm::Id sigInl ) : sigInLen( sigInl ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_CONT_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get( sigInLen - workIndex - 1) * (-1.0) );
}
private:
vtkm::Id sigInLen;
};
// Worklet for signal extension no. 8
class RightASYMWExtentionWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
RightASYMWExtentionWorklet ( vtkm::Id sigInl ) : sigInLen( sigInl ) {}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_CONT_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
portalOut.Set( workIndex, portalIn.Get( sigInLen - workIndex - 2) * (-1.0) );
}
private:
vtkm::Id sigInLen;
};
// Worklet
class AssignZeroWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayInOut< ScalarAll > );
typedef void ExecutionSignature( _1, WorkIndex );
// Constructor
VTKM_EXEC_CONT_EXPORT
AssignZeroWorklet( vtkm::Id idx ) : zeroIdx( idx ) { }
template< typename PortalType >
VTKM_EXEC_EXPORT
void operator()( PortalType &array,
const vtkm::Id &workIdx ) const
{
if( workIdx == this->zeroIdx )
array.Set( workIdx, static_cast<typename PortalType::ValueType>(0.0) );
}
private:
vtkm::Id zeroIdx;
};
// Worklet
class AssignZero2DColumnWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayInOut< ScalarAll > );
typedef void ExecutionSignature( _1, WorkIndex );
// Constructor
VTKM_EXEC_CONT_EXPORT
AssignZero2DColumnWorklet( vtkm::Id x, vtkm::Id y, vtkm::Id idx )
: dimX( x ), dimY( y ), zeroIdx( idx ) { }
// Index translation helper
VTKM_EXEC_CONT_EXPORT
void GetLogicalDim( const Id &idx, Id &x, Id &y ) const
{
x = idx % dimX;
y = idx / dimX;
}
template< typename PortalType >
VTKM_EXEC_EXPORT
void operator()( PortalType &array,
const vtkm::Id &workIdx ) const
{
vtkm::Id x, y;
GetLogicalDim( workIdx, x, y );
if( x == zeroIdx ) // assign zero to a column
array.Set( workIdx, static_cast<typename PortalType::ValueType>(0.0) );
}
private:
vtkm::Id dimX, dimY, zeroIdx;
};
// Worklet:
class TransposeWorklet : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( FieldIn < ScalarAll >,
WholeArrayOut< ScalarAll > );
typedef void ExecutionSignature( _1, _2, WorkIndex );
// Constructor
VTKM_EXEC_CONT_EXPORT
TransposeWorklet( vtkm::Id inx, vtkm::Id iny, vtkm::Id outx, vtkm::Id outy,
vtkm::Id out_startx, vtkm::Id out_starty )
: inXDim( inx ), inYDim( iny ), outXDim( outx ), outYDim( outy ),
outStartX( out_startx ), outStartY( out_starty ) {}
VTKM_EXEC_CONT_EXPORT
void Input1Dto2D( const vtkm::Id &idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % inXDim;
y = idx / inXDim;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Output2Dto1D( vtkm::Id &x, vtkm::Id &y ) const
{
return y * outXDim + x;
}
template< typename ValueInType, typename PortalOutType >
VTKM_EXEC_EXPORT
void operator()( const ValueInType &valueIn,
PortalOutType &arrayOut,
const vtkm::Id &workIdx ) const
{
vtkm::Id x, y;
Input1Dto2D( workIdx, x, y );
vtkm::Id outX = y + outStartX;
vtkm::Id outY = x + outStartY;
vtkm::Id outputIdx = Output2Dto1D( outX, outY );
arrayOut.Set( outputIdx, valueIn );
}
private:
vtkm::Id inXDim, inYDim;
vtkm::Id outXDim, outYDim;
vtkm::Id outStartX, outStartY;
};
// Worklet:
// Copys a small rectangle to part of a big rectangle
// WARNING: this worklet only supports basic ArrayHandle types.
class RectangleCopyTo : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( FieldIn< ScalarAll >, // Input, small rectangle
WholeArrayOut< ScalarAll > ); // Output, big rectangle
typedef void ExecutionSignature( _1, _2, WorkIndex );
// Constructor
VTKM_EXEC_CONT_EXPORT
RectangleCopyTo( vtkm::Id inx, vtkm::Id iny,
vtkm::Id outx, vtkm::Id outy,
vtkm::Id xStart, vtkm::Id yStart )
{
this->inXLen = inx; this->inYLen = iny;
this->outXLen = outx; this->outYLen = outy;
this->outXStart = xStart; this->outYStart = yStart;
}
VTKM_EXEC_CONT_EXPORT
void GetLogicalDimOfInputRect( const vtkm::Id &idx,
vtkm::Id &x,
vtkm::Id &y ) const
{
x = idx % inXLen;
y = idx / inXLen;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Get1DIdxOfOutputRect( vtkm::Id x,
vtkm::Id y ) const
{
return y * outXLen + x;
}
template< typename ValueInType, typename PortalOutType >
VTKM_EXEC_EXPORT
void operator()( const ValueInType &valueIn,
PortalOutType &arrayOut,
const vtkm::Id &workIdx ) const
{
vtkm::Id xOfIn, yOfIn;
GetLogicalDimOfInputRect( workIdx, xOfIn, yOfIn );
vtkm::Id outputIdx = Get1DIdxOfOutputRect( xOfIn+outXStart, yOfIn+outYStart );
arrayOut.Set( outputIdx, valueIn );
}
private:
vtkm::Id inXLen, inYLen;
vtkm::Id outXLen, outYLen;
vtkm::Id outXStart, outYStart;
};
// Worklet:
// Copys a part of a big rectangle to a small rectangle
// WARNING: this worklet only supports basic ArrayHandle types.
class RectangleCopyFrom : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( FieldInOut< ScalarAll >, // small rectangle to be filled
WholeArrayIn< ScalarAll > ); // big rectangle to read from
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
RectangleCopyFrom( vtkm::Id smallx, vtkm::Id smally,
vtkm::Id bigx, vtkm::Id bigy,
vtkm::Id xStart, vtkm::Id yStart )
{
this->smallXLen = smallx; this->smallYLen = smally;
this->bigXLen = bigx; this->bigYLen = bigy;
this->bigXStart = xStart; this->bigYStart = yStart;
}
VTKM_EXEC_CONT_EXPORT
void GetLogicalDimOfSmallRect( const vtkm::Id &idx,
vtkm::Id &x,
vtkm::Id &y ) const
{
x = idx % smallXLen;
y = idx / smallXLen;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Get1DIdxOfBigRect( vtkm::Id x,
vtkm::Id y ) const
{
return y * bigXLen + x;
}
template< typename ValueType, typename PortalType >
VTKM_EXEC_EXPORT
void operator()( ValueType &value,
const PortalType &array,
const vtkm::Id &workIdx ) const
{
vtkm::Id xOfValue, yOfValue;
GetLogicalDimOfSmallRect( workIdx, xOfValue, yOfValue );
vtkm::Id bigRectIdx = Get1DIdxOfBigRect( xOfValue+bigXStart, yOfValue+bigYStart );
value = static_cast<ValueType>( array.Get( bigRectIdx ) );
}
private:
vtkm::Id smallXLen, smallYLen;
vtkm::Id bigXLen, bigYLen;
vtkm::Id bigXStart, bigYStart;
};
/*
* put old implementations below this line
*/
class LeftExtensionWorklet2D : public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature( WholeArrayOut < ScalarAll >, // extension part
WholeArrayIn < ScalarAll > ); // signal part
typedef void ExecutionSignature( _1, _2, WorkIndex );
typedef _1 InputDomain;
typedef vtkm::Id Id;
// Constructor
VTKM_EXEC_CONT_EXPORT
LeftExtensionWorklet2D( Id x1, Id y1, Id x2, Id y2, DWTMode m)
: extDimX( x1 ), extDimY( y1 ), sigDimX( x2 ), sigDimY( y2 ), mode(m) {}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
void Ext1Dto2D ( const Id &idx, Id &x, Id &y ) const
{
x = idx % extDimX;
y = idx / extDimX;
}
// Index translation helper
VTKM_EXEC_CONT_EXPORT
Id Sig2Dto1D( Id x, Id y ) const
{
return y * sigDimX + x;
}
template< typename PortalOutType, typename PortalInType >
VTKM_EXEC_EXPORT
void operator()( PortalOutType &portalOut,
const PortalInType &portalIn,
const vtkm::Id &workIndex) const
{
Id extX, extY;
Id sigX;
typename PortalOutType::ValueType sym = 1.0;
Ext1Dto2D( workIndex, extX, extY );
if ( mode == SYMH )
sigX = extDimX - extX - 1;
else if ( mode == SYMW )
sigX = extDimX - extX;
else if ( mode == ASYMH )
{
sigX = extDimX - extX - 1;
sym = -1.0;
}
else // mode == ASYMW
{
sigX = extDimX - extX;
sym = -1.0;
}
portalOut.Set( workIndex, portalIn.Get( Sig2Dto1D(sigX, extY) ) * sym );
}
private:
vtkm::Id extDimX, extDimY, sigDimX, sigDimY;
DWTMode mode;
};
// Worklet: perform a simple 2D forward transform
template< typename DeviceTag >
class ForwardTransform2D: public vtkm::worklet::WorkletMapField
{
public:
typedef void ControlSignature(WholeArrayIn<ScalarAll>, // sigIn
WholeArrayOut<ScalarAll>); // cA followed by cD
typedef void ExecutionSignature(_1, _2, WorkIndex);
typedef _2 InputDomain;
// Constructor
VTKM_EXEC_CONT_EXPORT
ForwardTransform2D( const vtkm::cont::ArrayHandle<vtkm::Float64> &loFilter,
const vtkm::cont::ArrayHandle<vtkm::Float64> &hiFilter,
vtkm::Id filter_len, vtkm::Id approx_len,
vtkm::Id input_dimx, vtkm::Id input_dimy,
vtkm::Id output_dimx, vtkm::Id output_dimy, bool odd_low )
: lowFilter( loFilter.PrepareForInput( DeviceTag() ) ),
highFilter( hiFilter.PrepareForInput( DeviceTag() ) ),
filterLen( filter_len ), approxLen( approx_len ),
inputDimX( input_dimx ), inputDimY( input_dimy ),
outputDimX( output_dimx), outputDimY( output_dimy),
oddlow( odd_low )
{ this->SetStartPosition(); }
VTKM_EXEC_CONT_EXPORT
void Input1Dto2D( const vtkm::Id &idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % inputDimX;
y = idx / inputDimX;
}
VTKM_EXEC_CONT_EXPORT
void Output1Dto2D( const vtkm::Id &idx, vtkm::Id &x, vtkm::Id &y ) const
{
x = idx % outputDimX;
y = idx / outputDimX;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Input2Dto1D( const vtkm::Id &x, const vtkm::Id &y ) const
{
return y * inputDimX + x;
}
VTKM_EXEC_CONT_EXPORT
vtkm::Id Output2Dto1D( const vtkm::Id &x, const vtkm::Id &y ) const
{
return y * outputDimX + x;
}
// Use 64-bit float for convolution calculation
#define VAL vtkm::Float64
#define MAKEVAL(a) (static_cast<VAL>(a))
template <typename InputPortalType, typename OutputPortalType>
VTKM_EXEC_EXPORT
void operator()(const InputPortalType &signalIn,
OutputPortalType &coeffOut,
const vtkm::Id &workIndex) const
{
vtkm::Id outputX, outputY;
Output1Dto2D( workIndex, outputX, outputY );
vtkm::Id inputX = outputX;
vtkm::Id inputY = outputY;
vtkm::Id idx1D;
typedef typename OutputPortalType::ValueType OutputValueType;
if( inputX % 2 == 0 ) // calculate cA
{
vtkm::Id xl = xlstart + inputX;
VAL sum=MAKEVAL(0.0);
for( vtkm::Id k = filterLen - 1; k > -1; k-- )
{
idx1D = Input2Dto1D( xl, inputY );
sum += lowFilter.Get(k) * MAKEVAL( signalIn.Get( idx1D ) );
xl++;
}
vtkm::Id dstX = inputX / 2; // put cA at the beginning
idx1D = Output2Dto1D( dstX, outputY );
coeffOut.Set( idx1D, static_cast<OutputValueType>(sum) );
}
else // calculate cD
{
vtkm::Id xh = xhstart + inputX - 1;
VAL sum=MAKEVAL(0.0);
for( vtkm::Id k = filterLen - 1; k > -1; k-- )
{
idx1D = Input2Dto1D( xh, inputY );
sum += highFilter.Get(k) * MAKEVAL( signalIn.Get( idx1D ) );
xh++;
}
vtkm::Id dstX = approxLen + (inputX-1) / 2; // put cD after cA
idx1D = Output2Dto1D( dstX, outputY );
coeffOut.Set( idx1D, static_cast<OutputValueType>(sum) );
}
}
#undef MAKEVAL
#undef VAL
private:
const typename vtkm::cont::ArrayHandle<vtkm::Float64>::ExecutionTypes<DeviceTag>::
PortalConst lowFilter, highFilter;
const vtkm::Id filterLen, approxLen;
const vtkm::Id inputDimX, inputDimY, outputDimX, outputDimY;
bool oddlow;
vtkm::Id xlstart, xhstart;
VTKM_EXEC_CONT_EXPORT
void SetStartPosition()
{
this->xlstart = this->oddlow ? 1 : 0;
this->xhstart = 1;
}
};
} // namespace wavelets
} // namespace worlet
} // namespace vtkm
#endif // vtk_m_worklet_Wavelets_h