math_tools Module Reference

List of all members.

Data Types
interface	fft
Public Member Functions
subroutine, public	fftn (array, shape, dim, inv, stat)
subroutine, public	hilbert (xi, m)
subroutine, public	flipv (x, M)
subroutine, public	flipiv (x, M)
subroutine, public	flipa (x, M1, M2, flip)
real *8 function, dimension(size(x)), public	xerf (x)
real *8 function, public	random (j)
Public Attributes
integer, parameter, public	fftkind = kind(0.0d0)
integer, parameter, public	realkind = kind(0.0d0)
Private Member Functions
complex(fftkind) function, dimension(size(array, 1))	fft1d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2))	fft2d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3))	fft3d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3), size(array, 4))	fft4d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3), size(array, 4),size(array, 5))	fft5d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3), size(array, 4),size(array, 5), size(array, 6))	fft6d (array, dim, inv, stat)
complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3), size(array, 4),size(array, 5), size(array, 6), size(array, 7))	fft7d (array, dim, inv, stat)
subroutine	fftradix (array, ntotal, npass, nspan, inv, stat)
Private Attributes
real(fftkind), parameter	sin60 = 0.86602540378443865_fftkind
real(fftkind), parameter	cos72 = 0.30901699437494742_fftkind
real(fftkind), parameter	sin72 = 0.95105651629515357_fftkind
real(fftkind), parameter	pi = 3.14159265358979323_fftkind

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Detailed Description

Definition at line 1 of file math_tools.F90.

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Member Function/Subroutine Documentation

complex(fftkind) function, dimension(size(array, 1)) math_tools::fft1d	(	complex(fftkind), dimension(:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 172 of file math_tools.F90.

complex(fftkind) function, dimension(size(array, 1), size(array, 2)) math_tools::fft2d	(	complex(fftkind), dimension(:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 190 of file math_tools.F90.

complex(fftkind) function, dimension(size(array, 1), size(array, 2), size(array, 3)) math_tools::fft3d	(	complex(fftkind), dimension(:,:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 207 of file math_tools.F90.

complex(fftkind) function, dimension( size(array, 1), size(array, 2), size(array, 3), size(array, 4)) math_tools::fft4d	(	complex(fftkind), dimension(:,:,:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 225 of file math_tools.F90.

complex(fftkind) function, dimension( size(array, 1), size(array, 2), size(array, 3), size(array, 4), size(array, 5)) math_tools::fft5d	(	complex(fftkind), dimension(:,:,:,:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 243 of file math_tools.F90.

complex(fftkind) function, dimension( size(array, 1), size(array, 2), size(array, 3), size(array, 4), size(array, 5), size(array, 6)) math_tools::fft6d	(	complex(fftkind), dimension(:,:,:,:,:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 262 of file math_tools.F90.

complex(fftkind) function, dimension( size(array, 1), size(array, 2), size(array, 3), size(array, 4), size(array, 5), size(array, 6), size(array, 7)) math_tools::fft7d	(	complex(fftkind), dimension(:,:,:,:,:,:,:), intent(in)	array,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 281 of file math_tools.F90.

subroutine, public math_tools::fftn	(	complex(fftkind), dimension(*), intent(inout)	array,
		integer, dimension(:), intent(in)	shape,
		integer, dimension(:), intent(in), optional	dim,
		logical, intent(in), optional	inv,
		integer, intent(out), optional	stat
	)

Definition at line 300 of file math_tools.F90.

subroutine math_tools::fftradix	(	complex(fftkind), dimension(*), intent(inout)	array,
		integer, intent(in)	ntotal,
		integer, intent(in)	npass,
		integer, intent(in)	nspan,
		logical, intent(in)	inv,
		integer, intent(out), optional	stat
	)		[private]

Definition at line 348 of file math_tools.F90.

References factorize(), permute(), and transform().

subroutine, public math_tools::flipa	(	real*8, dimension(m1,m2)	x,
		integer	M1,
		integer	M2,
		integer	flip
	)

Definition at line 1099 of file math_tools.F90.

subroutine, public math_tools::flipiv	(	complex(fftkind), dimension(m)	x,
		integer	M
	)

Definition at line 1063 of file math_tools.F90.

subroutine, public math_tools::flipv	(	real*8, dimension(m)	x,
		integer	M
	)

Definition at line 1028 of file math_tools.F90.

subroutine, public math_tools::hilbert	(	complex(fftkind), dimension(m)	xi,
		integer	m
	)

Definition at line 976 of file math_tools.F90.

real*8 function, public math_tools::random

(

integer

j

)

Definition at line 1268 of file math_tools.F90.

real*8 function, dimension(size(x)), public math_tools::xerf

(

real*8, dimension(:)

x

)

Definition at line 1141 of file math_tools.F90.

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Member Data Documentation

real(fftkind), parameter math_tools::cos72 = 0.30901699437494742_fftkind [private]

Definition at line 156 of file math_tools.F90.

integer, parameter, public math_tools::fftkind = kind(0.0d0)

Definition at line 153 of file math_tools.F90.

real(fftkind), parameter math_tools::pi = 3.14159265358979323_fftkind [private]

Definition at line 158 of file math_tools.F90.

integer, parameter, public math_tools::realkind = kind(0.0d0)

Definition at line 154 of file math_tools.F90.

real(fftkind), parameter math_tools::sin60 = 0.86602540378443865_fftkind [private]

Definition at line 155 of file math_tools.F90.

real(fftkind), parameter math_tools::sin72 = 0.95105651629515357_fftkind [private]

Definition at line 157 of file math_tools.F90.

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

• C:/repositories/XBeach/trunk/src/xbeachlibrary/math_tools.F90