Algorithm-FEC
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*/
irow = icol = -1 ;
if (ipiv[col] != 1 && src[col*k + col] != 0) {
irow = col ;
icol = col ;
goto found_piv ;
}
for (row = 0 ; row < k ; row++) {
if (ipiv[row] != 1) {
for (ix = 0 ; ix < k ; ix++) {
DEB( pivloops++ ; )
if (ipiv[ix] == 0) {
if (src[row*k + ix] != 0) {
irow = row ;
icol = ix ;
goto found_piv ;
}
} else if (ipiv[ix] > 1) {
fprintf(stderr, "singular matrix\n");
goto fail ;
}
}
}
}
if (icol == -1) {
fprintf(stderr, "XXX pivot not found!\n");
goto fail ;
}
found_piv:
++(ipiv[icol]) ;
/*
* swap rows irow and icol, so afterwards the diagonal
* element will be correct. Rarely done, not worth
* optimizing.
*/
if (irow != icol) {
for (ix = 0 ; ix < k ; ix++ ) {
SWAP( src[irow*k + ix], src[icol*k + ix], gf) ;
}
}
indxr[col] = irow ;
indxc[col] = icol ;
pivot_row = &src[icol*k] ;
c = pivot_row[icol] ;
if (c == 0) {
fprintf(stderr, "singular matrix 2\n");
goto fail ;
}
if (c != 1 ) { /* otherwhise this is a NOP */
/*
* this is done often , but optimizing is not so
* fruitful, at least in the obvious ways (unrolling)
*/
DEB( pivswaps++ ; )
c = inverse[ c ] ;
pivot_row[icol] = 1 ;
for (ix = 0 ; ix < k ; ix++ )
pivot_row[ix] = gf_mul(c, pivot_row[ix] );
}
/*
* from all rows, remove multiples of the selected row
* to zero the relevant entry (in fact, the entry is not zero
* because we know it must be zero).
* (Here, if we know that the pivot_row is the identity,
* we can optimize the addmul).
*/
id_row[icol] = 1;
if (bcmp(pivot_row, id_row, k*sizeof(gf)) != 0) {
for (p = src, ix = 0 ; ix < k ; ix++, p += k ) {
if (ix != icol) {
c = p[icol] ;
p[icol] = 0 ;
addmul(p, pivot_row, c, k );
}
}
}
id_row[icol] = 0;
} /* done all columns */
for (col = k-1 ; col >= 0 ; col-- ) {
if (indxr[col] <0 || indxr[col] >= k)
fprintf(stderr, "AARGH, indxr[col] %d\n", indxr[col]);
else if (indxc[col] <0 || indxc[col] >= k)
fprintf(stderr, "AARGH, indxc[col] %d\n", indxc[col]);
else
if (indxr[col] != indxc[col] ) {
for (row = 0 ; row < k ; row++ ) {
SWAP( src[row*k + indxr[col]], src[row*k + indxc[col]], gf) ;
}
}
}
error = 0 ;
fail:
free(indxc);
free(indxr);
free(ipiv);
free(id_row);
free(temp_row);
return error ;
}
/*
* fast code for inverting a vandermonde matrix.
* XXX NOTE: It assumes that the matrix
* is not singular and _IS_ a vandermonde matrix. Only uses
* the second column of the matrix, containing the p_i's.
*
* Algorithm borrowed from "Numerical recipes in C" -- sec.2.8, but
* largely revised for my purposes.
* p = coefficients of the matrix (p_i)
* q = values of the polynomial (known)
*/
static int
invert_vdm(gf *src, int k)
{
int i, j, row, col ;
gf *b, *c, *p;
gf t, xx ;
if (k == 1) /* degenerate case, matrix must be p^0 = 1 */
return 0 ;
( run in 0.841 second using v1.01-cache-2.11-cpan-ba708fea25c )