integration.finc File Reference

Functions/Subroutines
integer(fgsl_int) function	fgsl_integration_qng (f, a, b, epsabs, epsrel, result, abserr, neval)
type(fgsl_integration_workspace) function	fgsl_integration_workspace_alloc (n)
subroutine	fgsl_integration_workspace_free (w)
integer(fgsl_int) function	fgsl_integration_qag (f, a, b, epsabs, epsrel, limit, key, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qags (f, a, b, epsabs, epsrel, limit, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qagp (f, pts, epsabs, epsrel, limit, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qagi (f, epsabs, epsrel, limit, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qagiu (f, a, epsabs, epsrel, limit, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qagil (f, b, epsabs, epsrel, limit, workspace, result, abserr)
integer(fgsl_int) function	fgsl_integration_qawc (f, a, b, c, epsabs, epsrel, limit, workspace, result, abserr)
type(fgsl_integration_qaws_table) function	fgsl_integration_qaws_table_alloc (alpha, beta, mu, nu)
integer(c_int) function	fgsl_integration_qaws_table_set (t, alpha, beta, mu, nu)
subroutine	fgsl_integration_qaws_table_free (w)
integer(fgsl_int) function	fgsl_integration_qaws (f, a, b, t, epsabs, epsrel, limit, workspace, result, abserr)
type(fgsl_integration_qawo_table) function	fgsl_integration_qawo_table_alloc (omega, l, sine, n)
integer(fgsl_int) function	fgsl_integration_qawo_table_set (t, omega, l, sine)
integer(fgsl_int) function	fgsl_integration_qawo_table_set_length (t, l)
subroutine	fgsl_integration_qawo_table_free (w)
integer(fgsl_int) function	fgsl_integration_qawo (f, a, epsabs, epsrel, limit, workspace, wf, result, abserr)
integer(fgsl_int) function	fgsl_integration_qawf (f, a, epsabs, limit, workspace, cyc_workspace, wf, result, abserr)
type(fgsl_integration_cquad_workspace) function	fgsl_integration_cquad_workspace_alloc (n)
subroutine	fgsl_integration_cquad_workspace_free (w)
integer(fgsl_int) function	fgsl_integration_cquad (f, a, b, epsabs, epsrel, workspace, result, abserr, nevals)
type(fgsl_integration_romberg_workspace) function	fgsl_integration_romberg_alloc (n)
subroutine	fgsl_integration_romberg_free (w)
integer(fgsl_int) function	fgsl_integration_romberg (f, a, b, epsabs, epsrel, result, neval, w)
type(fgsl_integration_glfixed_table) function	fgsl_integration_glfixed_table_alloc (n)
subroutine	fgsl_integration_glfixed_table_free (t)
real(fgsl_double) function	fgsl_integration_glfixed (f, a, b, t)
integer(fgsl_int) function	fgsl_integration_glfixed_point (a, b, i, xi, wi, t)
type(fgsl_integration_fixed_workspace) function	fgsl_integration_fixed_alloc (t, n, a, b, alpha, beta)
subroutine	fgsl_integration_fixed_free (w)
integer(fgsl_size_t) function	fgsl_integration_fixed_n (w)
real(fgsl_double) function, dimension(:), pointer	fgsl_integration_fixed_nodes (w)
real(fgsl_double) function, dimension(:), pointer	fgsl_integration_fixed_weights (w)
integer(fgsl_int) function	fgsl_integration_fixed (func, result, w)
logical function	fgsl_integration_workspace_status (integration_workspace)
logical function	fgsl_integration_qaws_table_status (integration_qaws_table)
logical function	fgsl_integration_qawo_table_status (integration_qawo_table)
logical function	fgsl_integration_cquad_workspace_status (integration_workspace)
logical function	fgsl_integration_glfixed_table_status (integration_glfixed_table)
integer(fgsl_size_t) function	fgsl_sizeof_integration_workspace (w)
integer(fgsl_size_t) function	fgsl_sizeof_integration_qaws_table (w)
integer(fgsl_size_t) function	fgsl_sizeof_integration_qawo_table (w)

Function/Subroutine Documentation

fgsl_integration_cquad()

integer(fgsl_int) function fgsl_integration_cquad	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		type(fgsl_integration_cquad_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr,
		integer(fgsl_size_t), intent(inout)	nevals
	)

fgsl_integration_cquad_workspace_alloc()

type(fgsl_integration_cquad_workspace) function fgsl_integration_cquad_workspace_alloc

(

integer(fgsl_size_t), intent(in)

n

)

fgsl_integration_cquad_workspace_free()

subroutine fgsl_integration_cquad_workspace_free

(

type(fgsl_integration_cquad_workspace), intent(inout)

w

)

fgsl_integration_cquad_workspace_status()

logical function fgsl_integration_cquad_workspace_status

(

type(fgsl_integration_cquad_workspace), intent(in)

integration_workspace

)

fgsl_integration_fixed()

integer(fgsl_int) function fgsl_integration_fixed	(	type(fgsl_function), intent(inout)	func,
		real(fgsl_double), target	result,
		type(fgsl_integration_fixed_workspace), intent(in)	w
	)

fgsl_integration_fixed_alloc()

type(fgsl_integration_fixed_workspace) function fgsl_integration_fixed_alloc	(	integer(fgsl_int), intent(in)	t,
		integer(fgsl_size_t), intent(in)	n,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	alpha,
		real(fgsl_double), intent(in)	beta
	)

fgsl_integration_fixed_free()

subroutine fgsl_integration_fixed_free

(

type(fgsl_integration_fixed_workspace), intent(inout)

w

)

fgsl_integration_fixed_n()

integer(fgsl_size_t) function fgsl_integration_fixed_n

(

type(fgsl_integration_fixed_workspace), intent(in)

w

)

fgsl_integration_fixed_nodes()

real(fgsl_double) function, dimension(:), pointer fgsl_integration_fixed_nodes

(

type(fgsl_integration_fixed_workspace), intent(in)

w

)

fgsl_integration_fixed_weights()

real(fgsl_double) function, dimension(:), pointer fgsl_integration_fixed_weights

(

type(fgsl_integration_fixed_workspace), intent(in)

w

)

fgsl_integration_glfixed()

real(fgsl_double) function fgsl_integration_glfixed	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		type(fgsl_integration_glfixed_table), intent(in)	t
	)

fgsl_integration_glfixed_point()

integer(fgsl_int) function fgsl_integration_glfixed_point	(	real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		integer(fgsl_size_t), intent(in)	i,
		real(fgsl_double), intent(inout)	xi,
		real(fgsl_double), intent(inout)	wi,
		type(fgsl_integration_glfixed_table), intent(in)	t
	)

fgsl_integration_glfixed_table_alloc()

type(fgsl_integration_glfixed_table) function fgsl_integration_glfixed_table_alloc

(

integer(fgsl_size_t), intent(in)

n

)

fgsl_integration_glfixed_table_free()

subroutine fgsl_integration_glfixed_table_free

(

type(fgsl_integration_glfixed_table)

t

)

fgsl_integration_glfixed_table_status()

logical function fgsl_integration_glfixed_table_status

(

type(fgsl_integration_glfixed_table), intent(in)

integration_glfixed_table

)

fgsl_integration_qag()

integer(fgsl_int) function fgsl_integration_qag	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		integer(fgsl_int), intent(in)	key,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qagi()

integer(fgsl_int) function fgsl_integration_qagi	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qagil()

integer(fgsl_int) function fgsl_integration_qagil	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qagiu()

integer(fgsl_int) function fgsl_integration_qagiu	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qagp()

integer(fgsl_int) function fgsl_integration_qagp	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), dimension(:), intent(in), target, contiguous	pts,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qags()

integer(fgsl_int) function fgsl_integration_qags	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qawc()

integer(fgsl_int) function fgsl_integration_qawc	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	c,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qawf()

integer(fgsl_int) function fgsl_integration_qawf	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	epsabs,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		type(fgsl_integration_workspace), intent(inout)	cyc_workspace,
		type(fgsl_integration_qawo_table), intent(in)	wf,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qawo()

integer(fgsl_int) function fgsl_integration_qawo	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		type(fgsl_integration_qawo_table), intent(in)	wf,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qawo_table_alloc()

type(fgsl_integration_qawo_table) function fgsl_integration_qawo_table_alloc	(	real(fgsl_double), intent(in)	omega,
		real(fgsl_double), intent(in)	l,
		integer(fgsl_int), intent(in)	sine,
		integer(fgsl_size_t), intent(in)	n
	)

fgsl_integration_qawo_table_free()

subroutine fgsl_integration_qawo_table_free

(

type(fgsl_integration_qawo_table), intent(inout)

w

)

fgsl_integration_qawo_table_set()

integer(fgsl_int) function fgsl_integration_qawo_table_set	(	type(fgsl_integration_qawo_table), intent(inout)	t,
		real(fgsl_double), intent(in)	omega,
		real(fgsl_double), intent(in)	l,
		integer(fgsl_int), intent(in)	sine
	)

fgsl_integration_qawo_table_set_length()

integer(fgsl_int) function fgsl_integration_qawo_table_set_length	(	type(fgsl_integration_qawo_table), intent(inout)	t,
		real(fgsl_double), intent(in)	l
	)

fgsl_integration_qawo_table_status()

logical function fgsl_integration_qawo_table_status

(

type(fgsl_integration_qawo_table), intent(in)

integration_qawo_table

)

fgsl_integration_qaws()

integer(fgsl_int) function fgsl_integration_qaws	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		type(fgsl_integration_qaws_table), intent(in)	t,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		integer(fgsl_size_t), intent(in)	limit,
		type(fgsl_integration_workspace), intent(inout)	workspace,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr
	)

fgsl_integration_qaws_table_alloc()

type(fgsl_integration_qaws_table) function fgsl_integration_qaws_table_alloc	(	real(fgsl_double), intent(in)	alpha,
		real(fgsl_double), intent(in)	beta,
		integer(fgsl_int), intent(in)	mu,
		integer(fgsl_int), intent(in)	nu
	)

fgsl_integration_qaws_table_free()

subroutine fgsl_integration_qaws_table_free

(

type(fgsl_integration_qaws_table), intent(inout)

w

)

fgsl_integration_qaws_table_set()

integer(c_int) function fgsl_integration_qaws_table_set	(	type(fgsl_integration_qaws_table)	t,
		real(fgsl_double), intent(in)	alpha,
		real(fgsl_double), intent(in)	beta,
		integer(fgsl_int), intent(in)	mu,
		integer(fgsl_int), intent(in)	nu
	)

fgsl_integration_qaws_table_status()

logical function fgsl_integration_qaws_table_status

(

type(fgsl_integration_qaws_table), intent(in)

integration_qaws_table

)

fgsl_integration_qng()

integer(fgsl_int) function fgsl_integration_qng	(	type(fgsl_function), intent(in)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		real(fgsl_double), intent(out)	result,
		real(fgsl_double), intent(out)	abserr,
		integer(fgsl_size_t), intent(inout)	neval
	)

fgsl_integration_romberg()

integer(fgsl_int) function fgsl_integration_romberg	(	type(fgsl_function)	f,
		real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(in)	epsabs,
		real(fgsl_double), intent(in)	epsrel,
		real(fgsl_double), intent(inout)	result,
		integer(c_size_t), intent(inout)	neval,
		type(fgsl_integration_romberg_workspace), intent(inout)	w
	)

fgsl_integration_romberg_alloc()

type(fgsl_integration_romberg_workspace) function fgsl_integration_romberg_alloc

(

integer(fgsl_size_t), intent(in)

n

)

fgsl_integration_romberg_free()

subroutine fgsl_integration_romberg_free

(

type(fgsl_integration_romberg_workspace), intent(inout)

w

)

fgsl_integration_workspace_alloc()

type(fgsl_integration_workspace) function fgsl_integration_workspace_alloc

(

integer(fgsl_size_t), intent(in)

n

)

fgsl_integration_workspace_free()

subroutine fgsl_integration_workspace_free

(

type(fgsl_integration_workspace), intent(inout)

w

)

fgsl_integration_workspace_status()

logical function fgsl_integration_workspace_status

(

type(fgsl_integration_workspace), intent(in)

integration_workspace

)

fgsl_sizeof_integration_qawo_table()

integer(fgsl_size_t) function fgsl_sizeof_integration_qawo_table

(

type(fgsl_integration_qawo_table), intent(in)

w

)

fgsl_sizeof_integration_qaws_table()

integer(fgsl_size_t) function fgsl_sizeof_integration_qaws_table

(

type(fgsl_integration_qaws_table), intent(in)

w

)

fgsl_sizeof_integration_workspace()

integer(fgsl_size_t) function fgsl_sizeof_integration_workspace

(

type(fgsl_integration_workspace), intent(in)

w

)