alibCartProd

RWalib C Array Library User Guide > Concatenation and Tiling > alibCartProd

alibCartProd

Returns the Cartesian product of some arrays, e.g., the coordinate grid defined by a set of coordinate vectors. The PV-WAVE API for this routine is the CPROD Function.

Prototypes

void alibCartProdb( wvlong m, wvlong *n, UCHAR **p, UCHAR *q )

void alibCartProds( wvlong m, wvlong *n, short **p, short *q )

void alibCartProdi( wvlong m, wvlong *n, int **p, int *q )

void alibCartProdl( wvlong m, wvlong *n, wvlong **p, wvlong *q )

void alibCartProdf( wvlong m, wvlong *n, float **p, float *q )

void alibCartProdd( wvlong m, wvlong *n, double **p, double *q )

void alibCartProdc( wvlong m, wvlong *n, COMPLEX **p, COMPLEX *q )

void alibCartProdz( wvlong m, wvlong *n, DCOMPLEX **p, DCOMPLEX *q )

Parameters

m — (Input) The number of source arrays.

*n — (Input) The m-element array specifying the number of elements in each source array.

**p — (Input) The m-element array of pointers to the source arrays. The number of elements in array p[i] is n[i].

*q — (Input/Output) The destination array. On return, array q contains the Cartesian product of the source arrays and is viewed as a (m,n[0]*...*n[m-1]) matrix of k points in m-dimensional space representing the coordinate grid defined by the m vectors p. q[k*i+j] is the ith coordinate of the jth grid point.

Example

The following example is a four-dimensional example.

#include <stdio.h>

#include <stdlib.h>

#include <math.h>

#include "alib.h"

void main() {

   /* make up four coordinate vectors to use for a

   /* four-dimensional example */

   wvlong j, k, n[4]={2,2,3,4};

   UCHAR *b, b0[2], b1[2], b2[3], b3[4], *bi[4]={b0,b1,b2,b3};

      alibinit( NULL, NULL, NULL, NULL );

      alibIndexb( 2, 0, 1, b0 );

      alibIndexb( 2, 0, 1, b1 );

      alibIndexb( 3, 0, 1, b2 );

      alibIndexb( 4, 0, 1, b3 );

   /* make array to hold grid of points defined by the coordinate

   /* vectors */

   b = (UCHAR*)malloc(4*2*2*3*4*sizeof(UCHAR));

   printf( "\n\n print each of the four coordinate vectors" );

      alibPrintArrayb( 1, 1, 1, 2, b0, NULL );

      alibPrintArrayb( 1, 1, 1, 2, b1, NULL );

      alibPrintArrayb( 1, 1, 1, 3, b2, NULL );

      alibPrintArrayb( 1, 1, 1, 4, b3, NULL );

   printf( "\n\n show the four-dimensional grid defined by the coordinate vectors" );

      alibCartProdb( 4, n, bi, b );

      printf( "\n\n" );

      for ( k=0; k<48; k++ ) {

         printf( "\n" );

         for ( j=0; j<4; j++ ) printf( "%4d", b[48*j+k] );

Output:

 print each of the four coordinate vectors

   0   1

   0   1

   0   1   2

   0   1   2   3

 show the four-dimensional grid defined by the coordinate vectors

   0   0   0   0

   0   0   0   1

   0   0   0   2

   0   0   0   3

   0   0   1   0

   0   0   1   1

   0   0   1   2

   0   0   1   3

   0   0   2   0

   0   0   2   1

   0   0   2   2

   0   0   2   3

   0   1   0   0

   0   1   0   1

   0   1   0   2

   0   1   0   3

   0   1   1   0

   0   1   1   1

   0   1   1   2

   0   1   1   3

   0   1   2   0

   0   1   2   1

   0   1   2   2

   0   1   2   3

   1   0   0   0

   1   0   0   1

   1   0   0   2

   1   0   0   3

   1   0   1   0

   1   0   1   1

   1   0   1   2

   1   0   1   3

   1   0   2   0

   1   0   2   1

   1   0   2   2

   1   0   2   3

   1   1   0   0

   1   1   0   1

   1   1   0   2

   1   1   0   3

   1   1   1   0

   1   1   1   1

   1   1   1   2

   1   1   1   3

   1   1   2   0

   1   1   2   1

   1   1   2   2

   1   1   2   3

Version 2017.0