vdsint

NAME

vdsint - compute the discrete Fourier sine transform of an odd sequence. The VSINT transforms are unnormalized inverses of themselves, so a call of VSINT followed by another call of VSINT will multiply the input sequence by 2 * (N+1). The VSINT transforms are normalized, so a call of VSINT followed by a call of VSINT will return the original sequence.

SYNOPSIS

  SUBROUTINE VDSINT( M, N, X, XT, MDIMX, WSAVE)
  INTEGER M, N, MDIMX
  DOUBLE PRECISION X(MDIMX,*), XT(MDIMX,*), WSAVE(*)
 
  SUBROUTINE VDSINT_64( M, N, X, XT, MDIMX, WSAVE)
  INTEGER*8 M, N, MDIMX
  DOUBLE PRECISION X(MDIMX,*), XT(MDIMX,*), WSAVE(*)

F95 INTERFACE

  SUBROUTINE SINT( [M], [N], X, XT, [MDIMX], WSAVE)
  INTEGER :: M, N, MDIMX
  REAL(8), DIMENSION(:) :: WSAVE
  REAL(8), DIMENSION(:,:) :: X, XT
 
  SUBROUTINE SINT_64( [M], [N], X, XT, [MDIMX], WSAVE)
  INTEGER(8) :: M, N, MDIMX
  REAL(8), DIMENSION(:) :: WSAVE
  REAL(8), DIMENSION(:,:) :: X, XT

C INTERFACE

#include <sunperf.h>

void vdsint(int m, int n, double *x, double *xt, int mdimx, double *wsave);

void vdsint_64(long m, long n, double *x, double *xt, long mdimx, double *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+1 is a product of small primes. N >= 0.
* X (input/output): On entry, a real two-dimensional array with dimensions of (MDIMX x (N+1)) whose rows contain the sequences to be transformed. On exit, the sine transform of the input.
* XT (input/output): A real two-dimensional work array with dimensions of (MDIMX x (N+1)).
* MDIMX (input): Leading dimension of the arrays X and XT as specified in a dimension or type statement. MDIMX >= M.
* WSAVE (input): On entry, an array with dimension of at least int(2.5 * N + 15) initialized by VSINTI.