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sinqb (3)
  • >> sinqb (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sinqb - synthesize a Fourier sequence from  its  representa-
         tion  in  terms of a sine series with odd wave numbers.  The
         xSINQ operations are unnormalized inverses of themselves, so
         a  call to xSINQF followed by a call to xSINQB will multiply
         the input sequence by 4 * N.  The VxSINQ operations are nor-
         malized,  so a call of VxSINQF followed by a call of VxSINQB
         will return the original sequence.
    
    SYNOPSIS
         SUBROUTINE SINQB (N, RX, RWSAVE)
    
         SUBROUTINE DSINQB (N, DX, DWSAVE)
    
         SUBROUTINE VSINQB (M, N, RX, RXT, MDIMX, RWSAVE)
    
         SUBROUTINE VDSINQB (M, N, DX, DXT, MDIMX, DWSAVE)
    
    
    
         #include <sunperf.h>
    
         void sinqb (int n, float *sx, float *wsave) ;
    
         void dsinqb (int n, double *dx, double *wsave) ;
    
         void vsinqb(int m,  int  n,  float  *sx,  int  mdimx,  float
                   *wsave) ;
    
         void vdsinqb(int m, int n, double  *dx,  int  mdimx,  double
                   *wsave) ;
    
    ARGUMENTS
         M         (For vector operations only.)
                   The number of sequences to be transformed.   M  >=
                   0.
    
         N         Length of the sequence to be  transformed.   These
                   subroutines are most efficient when N is a product
                   of small primes.  N >= 0.
    
         xX        On entry, an array  of  length  N  containing  the
                   sequence  to  be transformed.  For VxSINQB, a real
                   two- dimensional array with dimensions of (MDIMX x
                   N)   whose   rows  contain  the  sequences  to  be
                   transformed.  On exit, the quarter-wave sine  syn-
                   thesis of the input.
    
         xXT       (For vector operations only.)
                   A real two-dimensional work array with  dimensions
                   of (MDIMX x N).
    
         MDIMX     (For vector operations only.)
                   Leading dimension of the  arrays  xX  and  xXT  as
                   specified in a dimension or type statement.  MDIMX
                   >= M.
    
         xWSAVE    On entry, an array with dimension of at least   (3
                   *  N  + 15) for scalar subroutines or (2 * N + 15)
                   for vector subroutines, initialized by  xSINQI  or
                   VxSINQI.
    
    SAMPLE PROGRAM
               PROGRAM TEST
               IMPLICIT NONE
         C
               INTEGER         M, N
               PARAMETER      (M = 1)
               PARAMETER      (N = 6)
         C
               INTEGER         I
               REAL            PI, WSAVE(N + 15), X(M, N), XT(M, N)
         C
               EXTERNAL        VSINQB, VSINQF, VSINQI
               INTRINSIC       ACOS, SIN
         C
         C     Initialize the first row of the array to a real odd
         C     quarter-wave sequence, that is, it can be expanded in
         C     terms of a cosine series with only odd wave numbers.
         C
               PI = ACOS (-1.0)
               DO 100, I=1, N
                 X(M,I) = 40.0 * SIN ((I * PI / (2.0 * N)))
           100 CONTINUE
         C
               CALL VSINQI (N, WSAVE)
               PRINT 1000
               PRINT 1010, (X(M, I), I = 1, N)
               CALL VSINQF (M, N, X, XT, M, WSAVE)
               PRINT 1020
               PRINT 1010, (X(M, I), I = 1, N)
               CALL VSINQB (M, N, X, XT, M, WSAVE)
               PRINT 1030
               PRINT 1010, (X(M, I), I = 1, N)
         C
          1000 FORMAT (1X, 'Original Sequence: ')
          1010 FORMAT (1X, 100(F5.1, 1X))
          1020 FORMAT (1X, 'Transformed Sequence: ')
          1030 FORMAT (1X, 'Recovered Sequence: ')
         C
               END
    
    SAMPLE OUTPUT
          Original Sequence:
           10.4  20.0  28.3  34.6  38.6  40.0
          Transformed Sequence:
           49.0   0.0   0.0   0.0   0.0   0.0
          Recovered Sequence:
           10.4  20.0  28.3  34.6  38.6  40.0
    
    
    
    


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