vdcosqf

NAME

vdcosqf - compute the Fourier coefficients in a cosine series representation with only odd wave numbers. The VCOSQ operations are normalized, so a call of VCOSQF followed by a call of VCOSQB will return the original sequence.

SYNOPSIS

  SUBROUTINE VDCOSQF( M, N, X, XT, MDIMX, WSAVE)
  INTEGER M, N, MDIMX
  DOUBLE PRECISION X(MDIMX,*), XT(MDIMX,*), WSAVE(*)
 
  SUBROUTINE VDCOSQF_64( M, N, X, XT, MDIMX, WSAVE)
  INTEGER*8 M, N, MDIMX
  DOUBLE PRECISION X(MDIMX,*), XT(MDIMX,*), WSAVE(*)

F95 INTERFACE

  SUBROUTINE COSQF( [M], [N], X, XT, [MDIMX], WSAVE)
  INTEGER :: M, N, MDIMX
  REAL(8), DIMENSION(:) :: WSAVE
  REAL(8), DIMENSION(:,:) :: X, XT
 
  SUBROUTINE COSQF_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 vdcosqf(int m, int n, double *x, double *xt, int mdimx, double *wsave);

void vdcosqf_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 is a product of small primes. N >= 0.
* X (input/output): On entry, an array of length N containing the sequence to be transformed. For VCOSQF, a real two-dimensional array with dimensions of (MDIMX x N) whose rows contain the sequences to be transformed. On exit, the quarter-wave cosine transform of the input.
* 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 specified in a dimension or type statement. MDIMX >= M.
* WSAVE (input): On entry, an array of dimension (2 * N + 15) or greater initialized by VCOSQI.