+++ /dev/null
-#include "mltaln.h"
-#include "mtxutl.h"
-
-/*
- from "C gengo niyoru saishin algorithm jiten" ISBN4-87408-414-1 Haruhiko Okumura
-*/
-static void make_sintbl(int n, float sintbl[])
-{
- int i, n2, n4, n8;
- double c, s, dc, ds, t;
-
- n2 = n / 2; n4 = n / 4; n8 = n / 8;
- t = sin(PI / n);
- dc = 2 * t * t; ds = sqrt(dc * (2 - dc));
- t = 2 * dc; c = sintbl[n4] = 1; s = sintbl[0] = 0;
- for (i = 1; i < n8; i++) {
- c -= dc; dc += t * c;
- s += ds; ds -= t * s;
- sintbl[i] = s; sintbl[n4 - i] = c;
- }
- if (n8 != 0) sintbl[n8] = sqrt(0.5);
- for (i = 0; i < n4; i++)
- sintbl[n2 - i] = sintbl[i];
- for (i = 0; i < n2 + n4; i++)
- sintbl[i + n2] = - sintbl[i];
-}
-/*
- {\tt fft()}.
-*/
-static void make_bitrev(int n, int bitrev[])
-{
- int i, j, k, n2;
-
- n2 = n / 2; i = j = 0;
- for ( ; ; ) {
- bitrev[i] = j;
- if (++i >= n) break;
- k = n2;
- while (k <= j) { j -= k; k /= 2; }
- j += k;
- }
-}
-/*
-*/
-int fft(int n, Fukusosuu *x, int freeflag)
-{
- static TLS int last_n = 0; /* {\tt n} */
- static TLS int *bitrev = NULL; /* */
- static TLS float *sintbl = NULL; /* */
- int i, j, k, ik, h, d, k2, n4, inverse;
- float t, s, c, dR, dI;
-
- if (freeflag)
- {
- if (bitrev) free(bitrev);
- if (sintbl) free(sintbl);
- return( 0 );
- }
-
- /* */
- if (n < 0) {
- n = -n; inverse = 1; /* */
- } else inverse = 0;
- n4 = n / 4;
- if (n != last_n || n == 0) {
- last_n = n;
-#if 0
- if (sintbl != NULL) {
- free(sintbl);
- sintbl = NULL;
- }
- if (bitrev != NULL) {
- free(bitrev);
- bitrev = NULL;
- }
- if (n == 0) return 0; /* */
- sintbl = (float *)malloc((n + n4) * sizeof(float));
- bitrev = (int *)malloc(n * sizeof(int));
-#else /* by T. Nishiyama */
- sintbl = realloc(sintbl, (n + n4) * sizeof(float));
- bitrev = realloc(bitrev, n * sizeof(int));
-#endif
- if (sintbl == NULL || bitrev == NULL) {
- fprintf(stderr, "\n"); return 1;
- }
- make_sintbl(n, sintbl);
- make_bitrev(n, bitrev);
- }
- for (i = 0; i < n; i++) { /* */
- j = bitrev[i];
- if (i < j) {
- t = x[i].R; x[i].R = x[j].R; x[j].R = t;
- t = x[i].I; x[i].I = x[j].I; x[j].I = t;
- }
- }
- for (k = 1; k < n; k = k2) { /* */
-#if 0
- fprintf( stderr, "%d / %d\n", k, n );
-#endif
- h = 0; k2 = k + k; d = n / k2;
- for (j = 0; j < k; j++) {
-#if 0
- if( j % 1 == 0 )
- fprintf( stderr, "%d / %d\r", j, k );
-#endif
- c = sintbl[h + n4];
- if (inverse) s = - sintbl[h];
- else s = sintbl[h];
- for (i = j; i < n; i += k2) {
-#if 0
- if( k>=4194000 ) fprintf( stderr, "in loop %d - %d < %d, k2=%d\r", j, i, n, k2 );
-#endif
- ik = i + k;
- dR = s * x[ik].I + c * x[ik].R;
- dI = c * x[ik].I - s * x[ik].R;
- x[ik].R = x[i].R - dR; x[i].R += dR;
- x[ik].I = x[i].I - dI; x[i].I += dI;
- }
- h += d;
- }
- }
- if (! inverse) /* n */
- for (i = 0; i < n; i++) { x[i].R /= n; x[i].I /= n; }
- return 0; /* */
-}