Public Member Functions
real(r8) function	fdfdpsi (psi_n)

real(r8) function	dpdpsi (psi_n)

real(r8) function	fdia (psi_n)

real(r8) function	pressure (psi_n)

real(r8) function	current_profile (psi_n)

subroutine	helena21 (R_bnd_in, Z_bnd_in, n_bnd_in, Rgeo_in, Zgeo_in, amin_in, ellip_in, tria_u_in, tria_l_in, quad_u_in, quad_l_in, Bgeo_in, psi_in, pprime_in, ffprime_in, pressure_in, fdia_in, current_in, n_prof_in, iopt_p, iopt_f, nr_grid, np_grid, psi_out, pprime_out, ffprime_out, pressure_out, fdia_out, current_out, qprof_out, vprime, fraction_circ, moments, n_moments, surface_powers, surface_integrals, n_var_surfaces, n_int_surfaces, volume_powers, volume_integrals, n_var_volumes, n_int_volumes, n_psi_out, n_tht_out, amin_out, Rgeo_out, Zgeo_out, area_out, volume_out, betap_out, xip_out, xli_out, beta_out, R_axis_out, Z_axis_out, B_axis_out, psi_axis_out, psi_bnd_out, RRflux, ZZflux, PSflux)

subroutine	helena_mapping (RR, ZZ, PSI, n_tht, n_chi)

subroutine	helena_moments (RRflux, ZZflux, nr_flux, np_flux, moments, n_moments)

subroutine	helena_circulating (nr_flux, np_flux, RRflux, ZZflux, PSflux, fraction_circ)

subroutine	helena_volume_integrals (nr_flux, np_flux, RR_flux, ZZ_flux, PS_flux, powers, volume_integrals, n_var, n_int, n_psi)

subroutine	helena_remesh (nrnew, npnew, RRnew, ZZnew, PSInew)

subroutine	export_helena

subroutine	phys_values

subroutine	update_fdf (fmix, fdf_error)

subroutine	gs_solve (n_iter, rhs_only, solve_only, error_iteration, amix, ifail)

subroutine	find_flux_surfaces

subroutine	flux_surface_add_line (i, j, r_psi, s_psi, dpsi_dr, dpsi_ds)

subroutine	flux_surface_add_point (s, i, iv, ifound, r_psi, s_psi, dpsi_dr, dpsi_ds)

subroutine	plot_flux_surfaces

subroutine	fluxsurface_current (R_av, OR_av)

subroutine	fluxsurface_integrals (powers, n_int, n_var, results)

subroutine	helena_flux_surface_integrals (nr_flux, np_flux, RR_flux, ZZ_flux, PS_flux, powers, n_int, n_var, results, q, vprime)

subroutine	solvem2 (a, b, c, d, e, f, x, y)

subroutine	solvp3 (C0, C1, C2, C3, X1, X2, X3, IFAIL)

real(r8) function	root (A, B, C, D, SGN)

subroutine	psi_minmax (n, psimin, psimax)

subroutine	tht_minmax (n, thtmin, thtmax)

subroutine	initialise_profiles (n_prof_in, iopt_p, iopt_f, psi_in, pprime_in, ffprime_in, pressure_in, fdia_in, current_in)

subroutine	plot_solution

subroutine	plot_elements

subroutine	solve_matrix (amix, solve_only, error_iteration)

subroutine	matrix_gs (ps_axis, rhs_only)

subroutine	initialise_elements

subroutine	initialise_grid

subroutine	plot_grid (R, Z, nr, np)

subroutine	plotcu (X1, X1S, Y1, Y1S, X2, X2S, Y2, Y2S)

subroutine	cubich (I, J, R0, S0, R, S, H, HR, HS, HRS, HRR, HSS)

subroutine	cub1d (X1, X1S, X2, X2S, S, X, XS)

subroutine	fshape

subroutine	findaxis

subroutine	mnewtax (ps1, ps2, ps3, ps4, r, s, errx, errf, ifail)

subroutine	interp (XN1, XN2, XN3, XN4, R, S, X, XR, XS, XRS, XRR, XSS)

subroutine	interp1 (XN1, XN2, XN3, XN4, R, S, X)

subroutine	interp2 (XN1, XN2, XN3, XN4, R, S, X, XR, XS)

subroutine	interp3 (XN1, XN2, XN3, XN4, YN1, YN2, YN3, YN4, PN1, PN2, PN3, PN4, R, S, X, XR, XS, YR, YS, PS)

subroutine	rft2 (DATA, NR, KR)

subroutine	rtran2 (DATA, NR, KR, KTRAN)

subroutine	fft2 (DATAR, DATAI, N, INC)

subroutine	fsum2 (F, T, FFNUL, FFCOS, FFSIN, MHARM)

subroutine	grid2nv (TIN, TOUT, JPTS, ACC, IGRD)

subroutine	rft (F, FFNUL, FFCOS, FFSIN, JPTS, MHARM)

subroutine	spline (N, X, Y, ALFA, BETA, TYP, A, B, C, D)

real(r8) function	spwert (N, XWERT, A, B, C, D, X, ABLTG)

subroutine	sgtsl (N, C, D, E, B, INFO)

subroutine	tb15a (N, X, F, D, W, LP)

subroutine	tg02a (IX, N, U, S, D, X, V)

subroutine	qsort2 (ORD, N, A)

Detailed Description

Definition at line 101 of file helena21_mod.f90.

Member Function/Subroutine Documentation

subroutine helena21_mod::cub1d	(	real (r8)	X1,
		real (r8)	X1S,
		real (r8)	X2,
		real (r8)	X2S,
		real (r8)	S,
		real (r8)	X,
		real (r8)	XS
	)

Definition at line 3349 of file helena21_mod.f90.

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subroutine helena21_mod::cubich	(	integer	I,
		integer	J,
		real (r8)	R0,
		real (r8)	S0,
		real (r8)	R,
		real (r8)	S,
		real (r8)	H,
		real (r8)	HR,
		real (r8)	HS,
		real (r8)	HRS,
		real (r8)	HRR,
		real (r8)	HSS
	)

Definition at line 3312 of file helena21_mod.f90.

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real (r8) function helena21_mod::current_profile ( real (r8) psi_n )

Definition at line 182 of file helena21_mod.f90.

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real (r8) function helena21_mod::dpdpsi ( real (r8) psi_n )

Definition at line 122 of file helena21_mod.f90.

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subroutine helena21_mod::export_helena ( )

Definition at line 1502 of file helena21_mod.f90.

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real (r8) function helena21_mod::fdfdpsi ( real (r8) psi_n )

Definition at line 105 of file helena21_mod.f90.

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real (r8) function helena21_mod::fdia ( real (r8) psi_n )

Definition at line 139 of file helena21_mod.f90.

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subroutine helena21_mod::fft2	(	real (r8), dimension(*)	DATAR,
		real (r8), dimension(*)	DATAI,
		integer	N,
		integer	INC
	)

Definition at line 4053 of file helena21_mod.f90.

subroutine helena21_mod::find_flux_surfaces ( )

Definition at line 1758 of file helena21_mod.f90.

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subroutine helena21_mod::findaxis ( )

Definition at line 3539 of file helena21_mod.f90.

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subroutine helena21_mod::flux_surface_add_line	(	integer	i,
		integer	j,
		real (r8), dimension(*)	r_psi,
		real (r8), dimension(*)	s_psi,
		real (r8), dimension(*)	dpsi_dr,
		real (r8), dimension(*)	dpsi_ds
	)

Definition at line 1891 of file helena21_mod.f90.

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subroutine helena21_mod::flux_surface_add_point	(	real (r8)	s,
		integer	i,
		integer	iv,
		integer	ifound,
		real (r8), dimension(*)	r_psi,
		real (r8), dimension(*)	s_psi,
		real (r8), dimension(*)	dpsi_dr,
		real (r8), dimension(*)	dpsi_ds
	)

Definition at line 1963 of file helena21_mod.f90.

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subroutine helena21_mod::fluxsurface_current	(	real (r8), dimension(*)	R_av,
		real (r8), dimension(*)	OR_av
	)

Definition at line 2071 of file helena21_mod.f90.

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subroutine helena21_mod::fluxsurface_integrals	(	real (r8), dimension(n_var,n_int)	powers,
		integer	n_int,
		integer	n_var,
		real (r8), dimension(n_psi+1,n_int)	results
	)

Definition at line 2157 of file helena21_mod.f90.

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subroutine helena21_mod::fshape ( )

Definition at line 3373 of file helena21_mod.f90.

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subroutine helena21_mod::fsum2	(	real (r8)	F,
		real (r8)	T,
		real (r8)	FFNUL,
		real (r8), dimension(*)	FFCOS,
		real (r8), dimension(*)	FFSIN,
		integer	MHARM
	)

Definition at line 4118 of file helena21_mod.f90.

subroutine helena21_mod::grid2nv	(	real (r8), dimension(*)	TIN,
		real (r8), dimension(*)	TOUT,
		integer	JPTS,
		real (r8)	ACC,
		integer	IGRD
	)

Definition at line 4142 of file helena21_mod.f90.

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subroutine helena21_mod::gs_solve	(	integer	n_iter,
		logical	rhs_only,
		logical	solve_only,
		real (r8)	error_iteration,
		real (r8)	amix,
		integer	ifail
	)

Definition at line 1712 of file helena21_mod.f90.

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subroutine helena21_mod::helena21	(	real (r8), dimension(*)	R_bnd_in,
		real (r8), dimension(*)	Z_bnd_in,
		integer	n_bnd_in,
		real (r8)	Rgeo_in,
		real (r8)	Zgeo_in,
		real (r8)	amin_in,
		real (r8)	ellip_in,
		real (r8)	tria_u_in,
		real (r8)	tria_l_in,
		real (r8)	quad_u_in,
		real (r8)	quad_l_in,
		real (r8)	Bgeo_in,
		real (r8), dimension(*)	psi_in,
		real (r8), dimension(*)	pprime_in,
		real (r8), dimension(*)	ffprime_in,
		real (r8), dimension(*)	pressure_in,
		real (r8), dimension(*)	fdia_in,
		real (r8), dimension(*)	current_in,
		integer	n_prof_in,
		integer	iopt_p,
		integer	iopt_f,
		integer	nr_grid,
		integer	np_grid,
		real (r8), dimension(*)	psi_out,
		real (r8), dimension(*)	pprime_out,
		real (r8), dimension(*)	ffprime_out,
		real (r8), dimension(*)	pressure_out,
		real (r8), dimension(*)	fdia_out,
		real (r8), dimension(*)	current_out,
		real (r8), dimension(*)	qprof_out,
		real (r8), dimension(*)	vprime,
		real (r8), dimension(*)	fraction_circ,
		real (r8), dimension(n_moments,*)	moments,
		integer	n_moments,
		real (r8), dimension(n_var_surfaces,n_int_surfaces)	surface_powers,
		real (r8), dimension(n_psi_out,n_int_surfaces)	surface_integrals,
		integer	n_var_surfaces,
		integer	n_int_surfaces,
		real (r8), dimension(n_var_volumes,n_int_volumes)	volume_powers,
		real (r8), dimension(n_psi_out,n_int_volumes)	volume_integrals,
		integer	n_var_volumes,
		integer	n_int_volumes,
		integer	n_psi_out,
		integer	n_tht_out,
		real (r8)	amin_out,
		real (r8)	Rgeo_out,
		real (r8)	Zgeo_out,
		real (r8)	area_out,
		real (r8)	volume_out,
		real (r8)	betap_out,
		real (r8)	xip_out,
		real (r8)	xli_out,
		real (r8)	beta_out,
		real (r8)	R_axis_out,
		real (r8)	Z_axis_out,
		real (r8)	B_axis_out,
		real (r8)	psi_axis_out,
		real (r8)	psi_bnd_out,
		real (r8), dimension(4,*)	RRflux,
		real (r8), dimension(4,*)	ZZflux,
		real (r8), dimension(4,*)	PSflux
	)

Definition at line 200 of file helena21_mod.f90.

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subroutine helena21_mod::helena_circulating	(	integer	nr_flux,
		integer	np_flux,
		real (r8), dimension(4,*)	RRflux,
		real (r8), dimension(4,*)	ZZflux,
		real (r8), dimension(4,*)	PSflux,
		real (r8), dimension(*)	fraction_circ
	)

Definition at line 932 of file helena21_mod.f90.

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subroutine helena21_mod::helena_flux_surface_integrals	(	integer	nr_flux,
		integer	np_flux,
		real (r8), dimension(4,*)	RR_flux,
		real (r8), dimension(4,*)	ZZ_flux,
		real (r8), dimension(4,*)	PS_flux,
		real (r8), dimension(n_var,n_int)	powers,
		integer	n_int,
		integer	n_var,
		real (r8), dimension(nr_flux,n_int)	results,
		real (r8), dimension(nr_flux)	q,
		real (r8), dimension(nr_flux)	vprime
	)

Definition at line 2276 of file helena21_mod.f90.

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subroutine helena21_mod::helena_mapping	(	real (r8), dimension(4,*)	RR,
		real (r8), dimension(4,*)	ZZ,
		real (r8), dimension(4,*)	PSI,
		integer	n_tht,
		integer	n_chi
	)

Definition at line 484 of file helena21_mod.f90.

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subroutine helena21_mod::helena_moments	(	real (r8), dimension(4,*)	RRflux,
		real (r8), dimension(4,*)	ZZflux,
		integer	nr_flux,
		integer	np_flux,
		real (r8), dimension(n_moments,*)	moments,
		integer	n_moments
	)

Definition at line 826 of file helena21_mod.f90.

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subroutine helena21_mod::helena_remesh	(	integer	nrnew,
		integer	npnew,
		real (r8), dimension(4,*)	RRnew,
		real (r8), dimension(4,*)	ZZnew,
		real (r8), dimension(4,*)	PSInew
	)

Definition at line 1191 of file helena21_mod.f90.

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subroutine helena21_mod::helena_volume_integrals	(	integer	nr_flux,
		integer	np_flux,
		real (r8), dimension(4,*)	RR_flux,
		real (r8), dimension(4,*)	ZZ_flux,
		real (r8), dimension(4,*)	PS_flux,
		real (r8), dimension(n_var,n_int)	powers,
		real (r8), dimension(n_psi,n_int)	volume_integrals,
		integer	n_var,
		integer	n_int,
		integer	n_psi
	)

Definition at line 1107 of file helena21_mod.f90.

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subroutine helena21_mod::initialise_elements ( )

Definition at line 3081 of file helena21_mod.f90.

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subroutine helena21_mod::initialise_grid ( )

Definition at line 3168 of file helena21_mod.f90.

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subroutine helena21_mod::initialise_profiles	(	integer	n_prof_in,
		integer	iopt_p,
		integer	iopt_f,
		real (r8), dimension(*)	psi_in,
		real (r8), dimension(*)	pprime_in,
		real (r8), dimension(*)	ffprime_in,
		real (r8), dimension(*)	pressure_in,
		real (r8), dimension(*)	fdia_in,
		real (r8), dimension(*)	current_in
	)

Definition at line 2621 of file helena21_mod.f90.

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subroutine helena21_mod::interp	(	real (r8), dimension(4)	XN1,
		real (r8), dimension(4)	XN2,
		real (r8), dimension(4)	XN3,
		real (r8), dimension(4)	XN4,
		real (r8)	R,
		real (r8)	S,
		real (r8)	X,
		real (r8)	XR,
		real (r8)	XS,
		real (r8)	XRS,
		real (r8)	XRR,
		real (r8)	XSS
	)

Definition at line 3761 of file helena21_mod.f90.

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subroutine helena21_mod::interp1	(	real (r8), dimension(4)	XN1,
		real (r8), dimension(4)	XN2,
		real (r8), dimension(4)	XN3,
		real (r8), dimension(4)	XN4,
		real (r8)	R,
		real (r8)	S,
		real (r8)	X
	)

Definition at line 3835 of file helena21_mod.f90.

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subroutine helena21_mod::interp2	(	real (r8), dimension(4)	XN1,
		real (r8), dimension(4)	XN2,
		real (r8), dimension(4)	XN3,
		real (r8), dimension(4)	XN4,
		real (r8)	R,
		real (r8)	S,
		real (r8)	X,
		real (r8)	XR,
		real (r8)	XS
	)

Definition at line 3865 of file helena21_mod.f90.

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subroutine helena21_mod::interp3	(	real (r8), dimension(4)	XN1,
		real (r8), dimension(4)	XN2,
		real (r8), dimension(4)	XN3,
		real (r8), dimension(4)	XN4,
		real (r8), dimension(4)	YN1,
		real (r8), dimension(4)	YN2,
		real (r8), dimension(4)	YN3,
		real (r8), dimension(4)	YN4,
		real (r8), dimension(4)	PN1,
		real (r8), dimension(4)	PN2,
		real (r8), dimension(4)	PN3,
		real (r8), dimension(4)	PN4,
		real (r8)	R,
		real (r8)	S,
		real (r8)	X,
		real (r8)	XR,
		real (r8)	XS,
		real (r8)	YR,
		real (r8)	YS,
		real (r8)	PS
	)

Definition at line 3913 of file helena21_mod.f90.

subroutine helena21_mod::matrix_gs	(	real (r8)	ps_axis,
		logical	rhs_only
	)

Definition at line 2922 of file helena21_mod.f90.

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subroutine helena21_mod::mnewtax	(	real (r8), dimension(4)	ps1,
		real (r8), dimension(4)	ps2,
		real (r8), dimension(4)	ps3,
		real (r8), dimension(4)	ps4,
		real (r8)	r,
		real (r8)	s,
		real (r8)	errx,
		real (r8)	errf,
		integer	ifail
	)

Definition at line 3682 of file helena21_mod.f90.

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subroutine helena21_mod::phys_values ( )

Definition at line 1552 of file helena21_mod.f90.

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subroutine helena21_mod::plot_elements ( )

Definition at line 2853 of file helena21_mod.f90.

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subroutine helena21_mod::plot_flux_surfaces ( )

Definition at line 1991 of file helena21_mod.f90.

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subroutine helena21_mod::plot_grid	(	real (r8), dimension(4,*)	R,
		real (r8), dimension(4,*)	Z,
		integer	nr,
		integer	np
	)

Definition at line 3254 of file helena21_mod.f90.

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subroutine helena21_mod::plot_solution ( )

Definition at line 2795 of file helena21_mod.f90.

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subroutine helena21_mod::plotcu	(	real (r8)	X1,
		real (r8)	X1S,
		real (r8)	Y1,
		real (r8)	Y1S,
		real (r8)	X2,
		real (r8)	X2S,
		real (r8)	Y2,
		real (r8)	Y2S
	)

Definition at line 3290 of file helena21_mod.f90.

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real (r8) function helena21_mod::pressure ( real (r8) psi_n )

Definition at line 164 of file helena21_mod.f90.

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subroutine helena21_mod::psi_minmax	(	integer	n,
		real (r8)	psimin,
		real (r8)	psimax
	)

Definition at line 2531 of file helena21_mod.f90.

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subroutine helena21_mod::qsort2	(	integer, dimension(n)	ORD,
		integer	N,
		real (r8), dimension(n)	A
	)

Definition at line 4736 of file helena21_mod.f90.

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subroutine helena21_mod::rft	(	real (r8), dimension(*)	F,
		real (r8)	FFNUL,
		real (r8), dimension(*)	FFCOS,
		real (r8), dimension(*)	FFSIN,
		integer	JPTS,
		integer	MHARM
	)

Definition at line 4226 of file helena21_mod.f90.

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subroutine helena21_mod::rft2	(	real (r8), dimension(*)	DATA,
		integer	NR,
		integer	KR
	)

Definition at line 3980 of file helena21_mod.f90.

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real (r8) function helena21_mod::root	(	real (r8)	A,
		real (r8)	B,
		real (r8)	C,
		real (r8)	D,
		real (r8)	SGN
	)

Definition at line 2513 of file helena21_mod.f90.

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subroutine helena21_mod::rtran2	(	real (r8), dimension(*)	DATA,
		integer	NR,
		integer	KR,
		integer	KTRAN
	)

Definition at line 4004 of file helena21_mod.f90.

subroutine helena21_mod::sgtsl	(	integer	N,
		real (r8), dimension(*)	C,
		real (r8), dimension(*)	D,
		real (r8), dimension(*)	E,
		real (r8), dimension(*)	B,
		integer	INFO
	)

Definition at line 4458 of file helena21_mod.f90.

subroutine helena21_mod::solve_matrix	(	real (r8)	amix,
		logical	solve_only,
		real (r8)	error_iteration
	)

Definition at line 2887 of file helena21_mod.f90.

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subroutine helena21_mod::solvem2	(	real (r8)	a,
		real (r8)	b,
		real (r8)	c,
		real (r8)	d,
		real (r8)	e,
		real (r8)	f,
		real (r8)	x,
		real (r8)	y
	)

Definition at line 2418 of file helena21_mod.f90.

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subroutine helena21_mod::solvp3	(	real (r8)	C0,
		real (r8)	C1,
		real (r8)	C2,
		real (r8)	C3,
		real (r8)	X1,
		real (r8)	X2,
		real (r8)	X3,
		integer	IFAIL
	)

Definition at line 2439 of file helena21_mod.f90.

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subroutine helena21_mod::spline	(	integer	N,
		real (r8), dimension(n)	X,
		real (r8), dimension(n)	Y,
		real (r8)	ALFA,
		real (r8)	BETA,
		integer	TYP,
		real (r8), dimension(n)	A,
		real (r8), dimension(n)	B,
		real (r8), dimension(n)	C,
		real (r8), dimension(n)	D
	)

Definition at line 4256 of file helena21_mod.f90.

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real (r8) function helena21_mod::spwert	(	integer	N,
		real (r8)	XWERT,
		real (r8), dimension(n)	A,
		real (r8), dimension(n)	B,
		real (r8), dimension(n)	C,
		real (r8), dimension(n)	D,
		real (r8), dimension(n)	X,
		real (r8), dimension(3)	ABLTG
	)

Definition at line 4409 of file helena21_mod.f90.

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subroutine helena21_mod::tb15a	(	integer	N,
		real (r8), dimension(n)	X,
		real (r8), dimension(n)	F,
		real (r8), dimension(n)	D,
		real (r8), dimension(*)	W,
		integer	LP
	)

Definition at line 4580 of file helena21_mod.f90.

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subroutine helena21_mod::tg02a	(	integer	IX,
		integer	N,
		real (r8), dimension(*)	U,
		real (r8), dimension(*)	S,
		real (r8), dimension(*)	D,
		real (r8)	X,
		real (r8), dimension(*)	V
	)

Definition at line 4661 of file helena21_mod.f90.

subroutine helena21_mod::tht_minmax	(	integer	n,
		real (r8)	thtmin,
		real (r8)	thtmax
	)

Definition at line 2595 of file helena21_mod.f90.

subroutine helena21_mod::update_fdf	(	real (r8)	fmix,
		real (r8)	fdf_error
	)

Definition at line 1654 of file helena21_mod.f90.

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The documentation for this module was generated from the following file:

src/helena2/helena21_mod.f90

Public Member Functions

Detailed Description

Member Function/Subroutine Documentation