bsplinesbasis Module Reference

Extraction of BSplines funcitonalities from the solver module. More...

Functions/Subroutines
subroutine	initbsplinesbasis (nx_, ny_, nz_, degree_, xmin_, xmax_, ymin_, ymax_, zmin_, zmax_, nsel_bsplines_basis)
subroutine	destroybsplinesbasismodule ()
subroutine	computebsplinesx (fun, pos, x)
subroutine	computebsplinesxd (fun, fund, pos, x)
subroutine	computebsplinesy (fun, pos, y)
subroutine	computebsplinesy_fft (basisspline_m, y)
subroutine	computebsplinesyd (fun, fund, pos, y)
subroutine	computebsplinesz (fun, pos, z)
subroutine	computebsplinesz_fft (bspline_n, z)
subroutine	computebsplinesgridvalues_cpx (gridx_, gridy_, output, input)
subroutine	computebsplinesgridvalues (gridx_, gridy_, output, input)
subroutine	computebsplinesgridvalueswithderivative (gridx_, gridy_, f, dfdx, dfdy, input)
pure integer function	computemapping2to1 (i, j)
pure integer function	computemapping2to1bis (i, j, n)
pure subroutine	computemapping1to2 (a, i, j)
double precision function	computecouplingcoeff (n, NB)

Variables
real, dimension(:), allocatable	gridx
real, dimension(:), allocatable	gridy
real, dimension(:), allocatable	gridz
integer	nx
integer	ny
integer	nz
integer	degree
integer	ns_loc
real	xmin
real	xmax
real	lx
real	ymin
real	ymax
real	ly
real	zmin
real	zmax
real	lz
real	dx
real	dx_inv
real	dy
real	dy_inv
real	dz
real	dz_inv
integer	bsplines_uniform
class(bsplines), allocatable	bsplinesx
class(bsplines), allocatable	bsplinesy
class(bsplines), allocatable	bsplinesz
real	y_m
real	z_n
complex, dimension(:), allocatable	basisspline_m
complex, dimension(:), allocatable	basisspline_n
complex	icomplex
integer	ny2
integer	nz2
type(c_ptr)	plany
type(c_ptr)	cptr_outy
type(c_ptr)	cptr_iny
type(c_ptr)	planz
type(c_ptr)	cptr_outz
type(c_ptr)	cptr_inz
real(c_double_complex), dimension(:), pointer	p_iny
real(c_double_complex), dimension(:), pointer	p_inz
complex(c_double_complex), dimension(:), pointer	p_outy
complex(c_double_complex), dimension(:), pointer	p_outz

Detailed Description

Extraction of BSplines funcitonalities from the solver module.

Author

Julien Dominski

Date

October 2015

Function/Subroutine Documentation

computebsplinesgridvalues()

subroutine bsplinesbasis::computebsplinesgridvalues	(	double precision, dimension(0:), intent(in)	gridx_,
		double precision, dimension(0:), intent(in)	gridy_,
		double precision, dimension(0:,0:), intent(inout)	output,
		double precision, dimension(:), intent(in)	input
	)

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computebsplinesgridvalues_cpx()

subroutine bsplinesbasis::computebsplinesgridvalues_cpx	(	double precision, dimension(0:), intent(in)	gridx_,
		double precision, dimension(0:), intent(in)	gridy_,
		double complex, dimension(0:,0:), intent(inout)	output,
		double complex, dimension(:), intent(in)	input
	)

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computebsplinesgridvalueswithderivative()

subroutine bsplinesbasis::computebsplinesgridvalueswithderivative	(	double precision, dimension(0:), intent(in)	gridx_,
		double precision, dimension(0:), intent(in)	gridy_,
		double precision, dimension(0:,0:), intent(inout)	f,
		double precision, dimension(0:,0:), intent(inout)	dfdx,
		double precision, dimension(0:,0:), intent(inout)	dfdy,
		double precision, dimension(:), intent(in)	input
	)

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computebsplinesx()

subroutine bsplinesbasis::computebsplinesx	(	double precision, dimension(:), intent(inout)	fun,
		integer, dimension(:), intent(inout)	pos,
		double precision, intent(in)	x
	)

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computebsplinesxd()

subroutine bsplinesbasis::computebsplinesxd	(	double precision, dimension(:), intent(inout)	fun,
		double precision, dimension(:), intent(inout)	fund,
		integer, dimension(:), intent(inout)	pos,
		double precision, intent(in)	x
	)

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computebsplinesy()

subroutine bsplinesbasis::computebsplinesy	(	double precision, dimension(:), intent(inout)	fun,
		integer, dimension(:), intent(inout)	pos,
		double precision, intent(in)	y
	)

Note

NOA 08/2019: Shift cubic splines support for consistency with ORB5 numbering and achieve good convergence. This has been verified for LWA and Padé solvers, but NOT for the arbitrary wavelength solver.

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computebsplinesy_fft()

subroutine bsplinesbasis::computebsplinesy_fft	(	complex, dimension(:), intent(inout)	basisspline_m,
		double precision, intent(in)	y
	)

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computebsplinesyd()

subroutine bsplinesbasis::computebsplinesyd	(	double precision, dimension(:), intent(inout)	fun,
		double precision, dimension(:), intent(inout)	fund,
		integer, dimension(:), intent(inout)	pos,
		double precision, intent(in)	y
	)

Note

NOA 08/2019: Shift cubic splines support for consistency with ORB5 numbering and achieve good convergence. This has been verified for LWA and Padé solvers, but NOT for the arbitrary wavelength solver.

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computebsplinesz()

subroutine bsplinesbasis::computebsplinesz	(	double precision, dimension(:), intent(inout)	fun,
		integer, dimension(:), intent(inout)	pos,
		double precision, intent(in)	z
	)

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computebsplinesz_fft()

subroutine bsplinesbasis::computebsplinesz_fft	(	complex, dimension(:), intent(inout)	bspline_n,
		double precision, intent(in)	z
	)

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computecouplingcoeff()

double precision function bsplinesbasis::computecouplingcoeff	(	integer, intent(in)	n,
		integer, intent(in)	NB
	)

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computemapping1to2()

pure subroutine bsplinesbasis::computemapping1to2	(	integer, intent(in)	a,
		integer, intent(out)	i,
		integer, intent(out)	j
	)

computemapping2to1()

pure integer function bsplinesbasis::computemapping2to1	(	integer, intent(in)	i,
		integer, intent(in)	j
	)

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computemapping2to1bis()

pure integer function bsplinesbasis::computemapping2to1bis	(	integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	n
	)

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destroybsplinesbasismodule()

subroutine bsplinesbasis::destroybsplinesbasismodule

initbsplinesbasis()

subroutine bsplinesbasis::initbsplinesbasis	(	integer, intent(in)	nx_,
		integer, intent(in)	ny_,
		integer, intent(in)	nz_,
		integer, intent(in)	degree_,
		double precision, intent(in)	xmin_,
		double precision, intent(in)	xmax_,
		double precision, intent(in)	ymin_,
		double precision, intent(in)	ymax_,
		double precision, intent(in)	zmin_,
		double precision, intent(in)	zmax_,
		integer, intent(in)	nsel_bsplines_basis
	)

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Variable Documentation

basisspline_m

complex, dimension(:), allocatable bsplinesbasis::basisspline_m

basisspline_n

complex, dimension(:), allocatable bsplinesbasis::basisspline_n

bsplines_uniform

integer bsplinesbasis::bsplines_uniform

bsplinesx

class(bsplines), allocatable bsplinesbasis::bsplinesx

bsplinesy

class(bsplines), allocatable bsplinesbasis::bsplinesy

bsplinesz

class(bsplines), allocatable bsplinesbasis::bsplinesz

cptr_iny

type(c_ptr) bsplinesbasis::cptr_iny

cptr_inz

type(c_ptr) bsplinesbasis::cptr_inz

cptr_outy

type(c_ptr) bsplinesbasis::cptr_outy

cptr_outz

type(c_ptr) bsplinesbasis::cptr_outz

degree

integer bsplinesbasis::degree

dx

real bsplinesbasis::dx

dx_inv

real bsplinesbasis::dx_inv

dy

real bsplinesbasis::dy

dy_inv

real bsplinesbasis::dy_inv

dz

real bsplinesbasis::dz

dz_inv

real bsplinesbasis::dz_inv

gridx

real, dimension(:), allocatable bsplinesbasis::gridx

gridy

real, dimension(:), allocatable bsplinesbasis::gridy

gridz

real, dimension(:), allocatable bsplinesbasis::gridz

icomplex

complex bsplinesbasis::icomplex

lx

real bsplinesbasis::lx

ly

real bsplinesbasis::ly

lz

real bsplinesbasis::lz

ns_loc

integer bsplinesbasis::ns_loc

nx

integer bsplinesbasis::nx

ny

integer bsplinesbasis::ny

ny2

integer bsplinesbasis::ny2

nz

integer bsplinesbasis::nz

nz2

integer bsplinesbasis::nz2

p_iny

real(c_double_complex), dimension (:), pointer bsplinesbasis::p_iny

p_inz

real(c_double_complex), dimension (:), pointer bsplinesbasis::p_inz

p_outy

complex(c_double_complex), dimension (:), pointer bsplinesbasis::p_outy

p_outz

complex(c_double_complex), dimension (:), pointer bsplinesbasis::p_outz

plany

type(c_ptr) bsplinesbasis::plany

planz

type(c_ptr) bsplinesbasis::planz

xmax

real bsplinesbasis::xmax

xmin

real bsplinesbasis::xmin

y_m

real bsplinesbasis::y_m

ymax

real bsplinesbasis::ymax

ymin

real bsplinesbasis::ymin

z_n

real bsplinesbasis::z_n

zmax

real bsplinesbasis::zmax

zmin

real bsplinesbasis::zmin