Contents


NAME

     vrfftf - compute the  Fourier  coefficients  of  a  periodic
     sequence.  The VRFFT operations are normalized, so a call of
     VRFFTF followed by a call of VRFFTB will return the original
     sequence.

SYNOPSIS

     SUBROUTINE VRFFTF(M, N, X, XT, MDIMX, WSAVE)

     INTEGER M, N, MDIMX
     REAL X(MDIMX,*), XT(MDIMX,*), WSAVE(*)

     SUBROUTINE VRFFTF_64(M, N, X, XT, MDIMX, WSAVE)

     INTEGER*8 M, N, MDIMX
     REAL X(MDIMX,*), XT(MDIMX,*), WSAVE(*)

  F95 INTERFACE
     SUBROUTINE FFTF([M], [N], X, XT, [MDIMX], WSAVE)

     INTEGER :: M, N, MDIMX
     REAL, DIMENSION(:) :: WSAVE
     REAL, DIMENSION(:,:) :: X, XT

     SUBROUTINE FFTF_64([M], [N], X, XT, [MDIMX], WSAVE)

     INTEGER(8) :: M, N, MDIMX
     REAL, DIMENSION(:) :: WSAVE
     REAL, DIMENSION(:,:) :: X, XT

  C INTERFACE
     #include <sunperf.h>

     void vrfftf(int m, int n, float *x, float  *xt,  int  mdimx,
               float *wsave);

     void vrfftf_64(long m, long n, float  *x,  float  *xt,  long
               mdimx, float *wsave);

ARGUMENTS

     M (input)
               The number of sequences to be transformed.   M  >=
               0.

     N (input) Length of the sequence to be  transformed.   These
               subroutines are most efficient when N is a product
               of small primes.  N >= 0.

     X (input) On entry, an array  of  length  N  containing  the
               sequence  to  be  transformed.  For VRFFTF, a real
               two- dimensional array X(M,N) whose  rows  contain
               the sequences to be transformed.

     XT (input)
               A real two-dimensional work array with  dimensions
               of (MDIMX x N).

     MDIMX (input)
               Leading dimension of the arrays X and XT as speci-
               fied  in  a dimension or type statement.  MDIMX >=
               M.

     WSAVE (input)
               On entry, an array of dimension (N+15) or  greater
               initialized by VRFFTI.