fourier.f90 File Reference

Contains module fourier. More...

Data Types
interface	fourier::fourier_class
	Base class containing fourier memory. More...

Modules
module	fourier
	Module contains subroutines for computing FFT on parallel radial intervals. Converts quantities between real and fourier space. Note fixarray must be called once before call any of the Fourier subroutines to calculate all necessary sine and cosine factors on a fixed mesh of collocation angles.

Functions/Subroutines
class(fourier_class) function, pointer	fourier::fourier_construct (mpol, ntor, ntheta, nzeta, nfp, sym, tor_modes)
	Construct a fourier_class object.
subroutine	fourier::fourier_destruct (this)
	Deconstruct a fourier_class object.
subroutine	fourier::fourier_tomnsp_3d (this, xuv, xmn, parity)
	Convert a quantity from real to fourier space in parallel.
subroutine	fourier::fourier_tomnsp_3d_pest (this, xuv, xmn, lmns, lmnc,
	Convert a quantity from real to fourier space in pest coordinates.
pure subroutine	fourier::fourier_tomnsp_2d (this, xuv, xmn, parity)
	Fourier transform a 2D quantity to fourier space.
pure subroutine	fourier::fourier_tomnsp_2d_pest (this, xuv, xmn, lambda, dup
	Fourier transform a 2D quantity to fourier space.
pure subroutine	fourier::fourier_tomnsp_2d_u (this, xuv)
	Sum over the poloidal part.
pure subroutine	fourier::fourier_tomnsp_2d_u_pest (this, xuv, lambda, dupdu,
	Sum over the poloidal part.
pure subroutine	fourier::fourier_tomnsp_2d_v (this, xmn, parity)
	Sum over toroidal angle.
subroutine	fourier::fourier_toijsp_3d (this, xmn, xuv, dflag, parity)
	Convert a quantity from fourier to real space in parallel.
pure subroutine	fourier::fourier_toijsp_2d (this, xmn, xuv, dflag, parity)
	Fourier transform a 2D quantity to real space.
subroutine	fourier::fourier_get_origin (this, xuv, mode, asym)
	Computes the origin value of a half-mesh quantity.
subroutine	fourier::fourier_round_trig (cosi, sini)
	Round trig values to whole number for near numbers.
logical function	fourier::fourier_get_index (this, n)
	The the index position of the toroidal mode if it exists.
logical function	fourier::test_fourier ()
	Test fourier routines.

Variables
integer, parameter	fourier::f_cos = 0
	Cosine parity.
integer, parameter	fourier::f_sin = 1
	Sine parity.
integer, parameter	fourier::f_none = 0
	Do not sum fouier real space transformed quantity. This is used when a stellarator symmetric parity is being converted to real space.
integer, parameter	fourier::f_ds = 1
	Radial derivative flag.
integer, parameter	fourier::f_du = 2
	Poloidal derivative flag.
integer, parameter	fourier::f_dv = 4
	Toroidal derivative flag.
integer, parameter	fourier::f_dudv = IOR(f_du, f_dv)
	Combined toroidal and poloidal derivatives.
integer, parameter	fourier::f_sum = 8
	Sum fouier real space transformed quantity. This is used when a non-stellarator symmetric parity is being converted to real space.
integer, parameter	fourier::f_jac = 16
	Quantity, contains jacobian.
integer, parameter	fourier::f_con = 32
	Covariant basis.
integer, parameter	fourier::b_ds = 0
	Bit position of the f_ds flag.
integer, parameter	fourier::b_du = 1
	Bit position of the f_du flag.
integer, parameter	fourier::b_dv = 2
	Bit position of the f_dv flag.
integer, parameter	fourier::b_sum = 3
	Bit position of the f_sum flag.
integer, parameter	fourier::b_jac = 4
	Bit position of the f_jac flag.
integer, parameter	fourier::b_con = 5
	Bit position of the f_co flag.
integer, parameter	fourier::m0 = 0
	m = 0 mode.
integer, parameter	fourier::m1 = 1
	m = 1 mode.
integer, parameter	fourier::m2 = 2
	m = 2 mode.
integer, parameter	fourier::n0 = 0
	n = 0 mode.
integer, parameter	fourier::n1 = 1
	n = 1 mode.

Detailed Description

Contains module fourier.