zfftz2(3P) Sun Performance Library zfftz2(3P)NAMEzfftz2 - initialize the trigonometric weight and factor tables or com‐
pute the two-dimensional Fast Fourier Transform (forward or inverse) of
a two-dimensional double complex array.
SYNOPSIS
SUBROUTINE ZFFTZ2(IOPT, N1, N2, SCALE, X, LDX, Y, LDY, TRIGS, IFAC, WORK, LWORK, IERR)
INTEGER IOPT, N1, N2, LDX, LDY, IFAC(*), LWORK, IERR
DOUBLE COMPLEX X(LDX, *), Y(LDY, *)
DOUBLE PRECISION SCALE, TRIGS(*), WORK(*)
SUBROUTINE ZFFTZ2_64(IOPT, N1, N2, SCALE, X, LDX, Y, LDY, TRIGS, IFAC, WORK, LWORK, IERR)
INTEGER*8 IOPT, N1, N2, LDX, LDY, IFAC(*), LWORK, IERR
DOUBLE PRECISION SCALE, TRIGS(*), WORK(*)
DOUBLE COMPLEX X(LDX, *), Y(LDY, *)
F95 INTERFACE
SUBROUTINE FFT2(IOPT, [N1], [N2], [SCALE], X, [LDX], Y, [LDY], TRIGS,
IFAC, WORK, [LWORK], IERR)
INTEGER, INTENT(IN) :: IOPT
INTEGER, INTENT(IN), OPTIONAL :: N1, N2, LDX, LDY, LWORK
REAL(8), INTENT(IN), OPTIONAL :: SCALE
COMPLEX(8), INTENT(IN), DIMENSION(:,:) :: X
COMPLEX(8), INTENT(OUT), DIMENSION(:,:) :: Y
REAL(8), INTENT(INOUT), DIMENSION(:) :: TRIGS
INTEGER, INTENT(INOUT), DIMENSION(:) :: IFAC
REAL(8), INTENT(OUT), DIMENSION(:) :: WORK
INTEGER, INTENT(OUT) :: IERR
SUBROUTINE FFT2_64(IOPT, [N1], [N2], [SCALE], X, [LDX], Y, [LDY], TRIGS, IFAC, WORK, [LWORK], IERR)
INTEGER(8), INTENT(IN) :: IOPT
INTEGER(8), INTENT(IN), OPTIONAL :: N1, N2, LDX, LDY, LWORK
REAL(8), INTENT(IN), OPTIONAL :: SCALE
COMPLEX(8), INTENT(IN), DIMENSION(:,:) :: X
COMPLEX(8), INTENT(OUT), DIMENSION(:,:) :: Y
REAL(8), INTENT(INOUT), DIMENSION(:) :: TRIGS
INTEGER(8), INTENT(INOUT), DIMENSION(:) :: IFAC
REAL(8), INTENT(OUT), DIMENSION(:) :: WORK
INTEGER(8), INTENT(OUT) :: IERR
C INTERFACE
#include <sunperf.h>
void zfftz2_ (int *iopt, int *n1, int *n2, double *scale, doublecomplex
*x, int *ldx, doublecomplex *y, int *ldy, double *trigs, int
*ifac, double *work, int *lwork, int *ierr);
void zfftz2_64_ (long *iopt, long *n1, long *n2, double *scale, double‐
complex *x, long *ldx, doublecomplex *y, long *ldy, double
*trigs, long *ifac, double *work, long *lwork, long *ierr);
PURPOSEzfftz2 initializes the trigonometric weight and factor tables or com‐
putes the two-dimensional Fast Fourier Transform (forward or inverse)
of a two-dimensional double complex array. In computing the two-dimen‐
sional FFT, one-dimensional FFTs are computed along the columns of the
input array. One-dimensional FFTs are then computed along the rows of
the intermediate results.
N2-1 N1-1
Y(k1,k2) = scale * SUM SUM W2*W1*X(j1,j2)
j2=0 j1=0
where
k1 ranges from 0 to N1-1 and k2 ranges from 0 to N2-1
i = sqrt(-1)
isign = 1 for inverse transform or -1 for forward transform
W1 = exp(isign*i*j1*k1*2*pi/N1)
W2 = exp(isign*i*j2*k2*2*pi/N2)
ARGUMENTS
IOPT (input)
Integer specifying the operation to be performed:
IOPT = 0 computes the trigonometric weight table and factor
table
IOPT = -1 computes forward FFT
IOPT = +1 computes inverse FFT
N1 (input)
Integer specifying length of the transform in the first
dimension. N1 is most efficient when it is a product of
small primes. N1 >= 0. Unchanged on exit.
N2 (input)
Integer specifying length of the transform in the second
dimension. N2 is most efficient when it is a product of
small primes. N2 >= 0. Unchanged on exit.
SCALE (input)
Double precision scalar by which transform results are
scaled. Unchanged on exit. SCALE is defaulted to 1.0D0 for
F95 INTERFACE.
X (input) X is a double complex array of dimensions (LDX, N2) that con‐
tains input data to be transformed.
LDX (input)
Leading dimension of X. LDX >= N1 Unchanged on exit.
Y (output)
Y is a double complex array of dimensions (LDY, N2) that con‐
tains the transform results. X and Y can be the same array
starting at the same memory location, in which case the input
data are overwritten by their transform results. Otherwise,
it is assumed that there is no overlap between X and Y in
memory.
LDY (input)
Leading dimension of Y. If X and Y are the same array, LDY =
LDX Else LDY >= N1 Unchanged on exit.
TRIGS (input/output)
Double precision array of length 2*(N1+N2) that contains the
trigonometric weights. The weights are computed when the
routine is called with IOPT = 0 and they are used in subse‐
quent calls when IOPT = 1 or IOPT = -1. Unchanged on exit.
IFAC (input/output)
Integer array of dimension at least 2*128 that contains the
factors of N1 and N2. The factors are computed when the rou‐
tine is called with IOPT = 0 and they are used in subsequent
calls when IOPT = 1 or IOPT = -1. Unchanged on exit.
WORK (workspace)
Double precision array of dimension at least
2*MAX(N1,N2)*NCPUS where NCPUS is the number of threads used
to execute the routine. The user can also choose to have the
routine allocate its own workspace (see LWORK).
LWORK (input)
Integer specifying workspace size. If LWORK = 0, the routine
will allocate its own workspace.
IERR (output)
On exit, integer IERR has one of the following values:
0 = normal return
-1 = IOPT is not 0, 1 or -1
-2 = N1 < 0
-3 = N2 < 0
-4 = (LDX < N1)
-5 = (LDY < N1) or (LDY not equal LDX when X and Y are same
array)
-6 = (LWORK not equal 0) and (LWORK < 2*MAX(N1,N2)*NCPUS)
-7 = memory allocation failed
SEE ALSO
fft
CAUTIONS
On exit, entire output array Y(1:LDY, 1:N2) is overwritten.
6 Mar 2009 zfftz2(3P)
