@*
BesselBasis.tmpl

Created by Graham Dennis on 2008-12-14.

Copyright (c) 2008-2012, 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: Bessel function basis

@def transformMatricesForDimRepsAtIndices($forwardDimRep, $backwardDimRep, $forwardIndex, $backwardIndex)
  @#
  @set $order = forwardDimRep._order
const real besselFactor = ${forwardDimRep.besselJFunctionCall($order, c'_besseljzeros_${forwardDimRep.parent.name}[${forwardIndex}] * _besseljzeros_${forwardDimRep.parent.name}[${backwardIndex}] / _besseljS_${forwardDimRep.parent.name}')};
  @#
  @super(forwardDimRep, backwardDimRep, forwardIndex, backwardIndex)
  @#
@end def

@def forwardMatrixForDimAtIndices($forwardDimRep, $backwardDimRep, $forwardIndex, $backwardIndex)
besselFactor * ${forwardDimRep.stepSizeArrayName}[$forwardIndex]@slurp
@end def

@def backwardMatrixForDimAtIndices($forwardDimRep, $backwardDimRep, $forwardIndex, $backwardIndex)
besselFactor * ${backwardDimRep.stepSizeArrayName}[$backwardIndex]@slurp
@end def

