alibIndex1dToNd
For an
n-dimensional array, converts an array of one-dimensional indices into arrays of
n-dimensional indices, i.e., convert a set of flat indices into their multidimensional equivalents. The PV-WAVE API for this routine is the
INDEX_CONV Function.
Prototype
void alibIndex1dToNd( wvlong n, wvlong *d, wvlong m, wvlong *i, wvlong **j )
Parameters
n — (Input) The number of dimensions for the reference array. This array, possibly virtual, is the array to which the indices refer.
*d — (Input) The n-element array of dimensions for the reference array.
m — (Input) The number of one-dimensional indices to be converted to n-dimensional indices.
*i — (Input) The m-element array of one-dimensional indices into the reference array.
**j — (Input/Output) The n-element array of pointers to m-element arrays. On output, j contains the n-dimensional equivalents of one-dimensional indices i. For a reference array c, the relationship between one-dimensional indices i and n-dimensional indices j is:
c[ j[0][k], ..., j[n-1][k] ] = c[ i[k] ];
Example
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "alib.h"
void main() { /* array of dimensions to use for two-dimensional, three-dimensional, and four-dimensional examples */
wvlong dims[4] = {2,3,4,5}; /* output index array to use for two-dimensional, three-dimensional, and four-dimensional examples */
wvlong *j[4];
/* allocate arrays big enough for two-dimensional, three-dimensional, and four-dimensional examples */
wvlong *i, k;
i = (wvlong*)malloc(120*sizeof(wvlong));
for ( k=0; k<4; k++ ) j[k] = (wvlong*)malloc(120*sizeof(wvlong));
printf( "\n\n initialize one-dimensional indices to use in two-dimensional, three-dimensional, four-dimensional examples" );
alibinit( NULL, NULL, NULL, NULL );
alibIndexl( 120, 0, 1, i );
alibPrintArrayl( 1, 1, 12, 10, i, "%8lld" );
printf( "\n\n for (4,5) array convert all 1d indices to 2d indices\n" );
alibIndex1dToNd( 2, &dims[2], 20, i, j );
for ( k=0; k<20; k++ ) { printf( "%8lld %8lld\n", j[0][k], j[1][k] );
}
printf( "\n\n for (3,4,5) array convert all 1d indices to 3d indices\n" );
alibIndex1dToNd( 3, &dims[1], 60, i, j );
for ( k=0; k<60; k++ ) { printf( "%8lld %8lld %8lld\n", j[0][k], j[1][k], j[2][k] );
}
printf( "\n\n for (2,3,4,5) array convert 1d indices to 4d indices\n" );
alibIndex1dToNd( 4, dims, 120, i, j );
for ( k=0; k<120; k++ ) { printf( "%8lld %8lld %8lld %8lld\n",
j[0][k], j[1][k], j[2][k], j[3][k] );
}
}
Output:
initialize one-dimensional indices to use in two-dimensional, three-dimensional, four-dimensional examples
0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
100 101 102 103 104 105 106 107 108 109
110 111 112 113 114 115 116 117 118 119
for (4,5) array convert all 1d indices to 2d indices
0 0
0 1
0 2
0 3
0 4
1 0
1 1
1 2
1 3
1 4
2 0
2 1
2 2
2 3
2 4
3 0
3 1
3 2
3 3
3 4
for (3,4,5) array convert all 1d indices to 3d indices
0 0 0
0 0 1
0 0 2
0 0 3
0 0 4
0 1 0
0 1 1
0 1 2
0 1 3
0 1 4
0 2 0
0 2 1
0 2 2
0 2 3
0 2 4
0 3 0
0 3 1
0 3 2
0 3 3
0 3 4
1 0 0
1 0 1
1 0 2
1 0 3
1 0 4
1 1 0
1 1 1
1 1 2
1 1 3
1 1 4
1 2 0
1 2 1
1 2 2
1 2 3
1 2 4
1 3 0
1 3 1
1 3 2
1 3 3
1 3 4
2 0 0
2 0 1
2 0 2
2 0 3
2 0 4
2 1 0
2 1 1
2 1 2
2 1 3
2 1 4
2 2 0
2 2 1
2 2 2
2 2 3
2 2 4
2 3 0
2 3 1
2 3 2
2 3 3
2 3 4
for (2,3,4,5) array convert 1d indices to 4d indices
0 0 0 0
0 0 0 1
0 0 0 2
0 0 0 3
0 0 0 4
0 0 1 0
0 0 1 1
0 0 1 2
0 0 1 3
0 0 1 4
0 0 2 0
0 0 2 1
0 0 2 2
0 0 2 3
0 0 2 4
0 0 3 0
0 0 3 1
0 0 3 2
0 0 3 3
0 0 3 4
0 1 0 0
0 1 0 1
0 1 0 2
0 1 0 3
0 1 0 4
0 1 1 0
0 1 1 1
0 1 1 2
0 1 1 3
0 1 1 4
0 1 2 0
0 1 2 1
0 1 2 2
0 1 2 3
0 1 2 4
0 1 3 0
0 1 3 1
0 1 3 2
0 1 3 3
0 1 3 4
0 2 0 0
0 2 0 1
0 2 0 2
0 2 0 3
0 2 0 4
0 2 1 0
0 2 1 1
0 2 1 2
0 2 1 3
0 2 1 4
0 2 2 0
0 2 2 1
0 2 2 2
0 2 2 3
0 2 2 4
0 2 3 0
0 2 3 1
0 2 3 2
0 2 3 3
0 2 3 4
1 0 0 0
1 0 0 1
1 0 0 2
1 0 0 3
1 0 0 4
1 0 1 0
1 0 1 1
1 0 1 2
1 0 1 3
1 0 1 4
1 0 2 0
1 0 2 1
1 0 2 2
1 0 2 3
1 0 2 4
1 0 3 0
1 0 3 1
1 0 3 2
1 0 3 3
1 0 3 4
1 1 0 0
1 1 0 1
1 1 0 2
1 1 0 3
1 1 0 4
1 1 1 0
1 1 1 1
1 1 1 2
1 1 1 3
1 1 1 4
1 1 2 0
1 1 2 1
1 1 2 2
1 1 2 3
1 1 2 4
1 1 3 0
1 1 3 1
1 1 3 2
1 1 3 3
1 1 3 4
1 2 0 0
1 2 0 1
1 2 0 2
1 2 0 3
1 2 0 4
1 2 1 0
1 2 1 1
1 2 1 2
1 2 1 3
1 2 1 4
1 2 2 0
1 2 2 1
1 2 2 2
1 2 2 3
1 2 2 4
1 2 3 0
1 2 3 1
1 2 3 2
1 2 3 3
1 2 3 4
Version 2017.0
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