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@*
HermiteGaussTwiddleBasis.tmpl
Hermite-Gauss Fourier basis using the definite parity of the basis functions to remove
half the work.
Created by Graham Dennis on 2009-08-12.
Copyright (c) 2009-2012, Graham Dennis
This program is free software: 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.
This program 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 General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*@
@extends xpdeint.Features.Transforms.Basis
@def description: Hermite-Gauss Twiddle basis (Multiplies eigenvalues by i)
@attr $supportsInPlaceOperation = True
@attr $matrixType = 'complex'
@def costEstimate(basisReps)
@return min([rep.latticeEstimate for rep in basisReps])
@end def
@def transformFunction(transformID, transformDict, function)
@#
@set $transformPair = transformDict['transformPair']
@set $forwardDimRep = transformPair[0][0]
@set $backwardDimRep = transformPair[1][0]
@set isOutOfPlace = transformDict.get('outOfPlace', True)
static const complex _forward_multipliers[4] = {1, -i, -1, i};
static const complex _backward_multipliers[4] = {1, i, -1, -i};
complex* const __restrict__ source_data = reinterpret_cast<complex* const>(_data_in);
@if isOutOfPlace
complex* const __restrict__ dest_data = reinterpret_cast<complex* const>(_data_out);
@end if
const complex* const __restrict__ _multipliers = _forward ? _forward_multipliers : _backward_multipliers;
@set featureOrdering = ['OpenMP']
@set featureDict = {
'templateString': ''
}
for (long _i0 = 0; _i0 < _prefix_lattice; _i0++) {
for (long _i1 = 0; _i1 < ${forwardDimRep.globalLattice}; _i1++) {
long multiplier_index = (_i1 & 3);
@if not isOutOfPlace
if (multiplier_index == 0) continue;
@end if
const complex multiplier = _multipliers[multiplier_index];
#pragma ivdep
${insertCodeForFeatures('loopOverVectorsWithInnerContentTemplateBegin', featureOrdering, featureDict)}@slurp
for (long _i2 = 0; _i2 < _postfix_lattice; _i2++) {
ptrdiff_t _index = (_i0 * ${forwardDimRep.globalLattice} + _i1) * _postfix_lattice + _i2;
@if isOutOfPlace
dest_data[_index] = multiplier * source_data[_index];
@else
source_data[_index] *= multiplier;
@end if
}
}
}
${insertCodeForFeaturesInReverseOrder('loopOverVectorsWithInnerContentTemplateEnd', featureOrdering, featureDict)}@slurp
@#
@end def
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