fft.c
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上传日期:2007-02-02
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流媒体/Mpeg4/MP4
开发平台:
Visual C++
- /*
- ** FFT and FHT routines
- ** Copyright 1988, 1993; Ron Mayer
- **
- ** fht(fz,n);
- ** Does a hartley transform of "n" points in the array "fz".
- **
- ** NOTE: This routine uses at least 2 patented algorithms, and may be
- ** under the restrictions of a bunch of different organizations.
- ** Although I wrote it completely myself; it is kind of a derivative
- ** of a routine I once authored and released under the GPL, so it
- ** may fall under the free software foundation's restrictions;
- ** it was worked on as a Stanford Univ project, so they claim
- ** some rights to it; it was further optimized at work here, so
- ** I think this company claims parts of it. The patents are
- ** held by R. Bracewell (the FHT algorithm) and O. Buneman (the
- ** trig generator), both at Stanford Univ.
- ** If it were up to me, I'd say go do whatever you want with it;
- ** but it would be polite to give credit to the following people
- ** if you use this anywhere:
- ** Euler - probable inventor of the fourier transform.
- ** Gauss - probable inventor of the FFT.
- ** Hartley - probable inventor of the hartley transform.
- ** Buneman - for a really cool trig generator
- ** Mayer(me) - for authoring this particular version and
- ** including all the optimizations in one package.
- ** Thanks,
- ** Ron Mayer; mayer@acuson.com
- ** and added some optimization by
- ** Mather - idea of using lookup table
- ** Takehiro - some dirty hack for speed up
- */
- #include <math.h>
- #include "util.h"
- #include "psymodel.h"
- #include "lame.h"
- #define TRI_SIZE (5-1) /* 1024 = 4**5 */
- static FLOAT costab[TRI_SIZE*2];
- static FLOAT window[BLKSIZE / 2], window_s[BLKSIZE_s / 2];
- static INLINE void fht(FLOAT *fz, short n)
- {
- short k4;
- FLOAT *fi, *fn, *gi;
- FLOAT *tri;
- fn = fz + n;
- tri = &costab[0];
- k4 = 4;
- do {
- FLOAT s1, c1;
- short i, k1, k2, k3, kx;
- kx = k4 >> 1;
- k1 = k4;
- k2 = k4 << 1;
- k3 = k2 + k1;
- k4 = k2 << 1;
- fi = fz;
- gi = fi + kx;
- do {
- FLOAT f0,f1,f2,f3;
- f1 = fi[0] - fi[k1];
- f0 = fi[0] + fi[k1];
- f3 = fi[k2] - fi[k3];
- f2 = fi[k2] + fi[k3];
- fi[k2] = f0 - f2;
- fi[0 ] = f0 + f2;
- fi[k3] = f1 - f3;
- fi[k1] = f1 + f3;
- f1 = gi[0] - gi[k1];
- f0 = gi[0] + gi[k1];
- f3 = SQRT2 * gi[k3];
- f2 = SQRT2 * gi[k2];
- gi[k2] = f0 - f2;
- gi[0 ] = f0 + f2;
- gi[k3] = f1 - f3;
- gi[k1] = f1 + f3;
- gi += k4;
- fi += k4;
- } while (fi<fn);
- c1 = tri[0];
- s1 = tri[1];
- for (i = 1; i < kx; i++) {
- FLOAT c2,s2;
- c2 = 1 - (2*s1)*s1;
- s2 = (2*s1)*c1;
- fi = fz + i;
- gi = fz + k1 - i;
- do {
- FLOAT a,b,g0,f0,f1,g1,f2,g2,f3,g3;
- b = s2*fi[k1] - c2*gi[k1];
- a = c2*fi[k1] + s2*gi[k1];
- f1 = fi[0 ] - a;
- f0 = fi[0 ] + a;
- g1 = gi[0 ] - b;
- g0 = gi[0 ] + b;
- b = s2*fi[k3] - c2*gi[k3];
- a = c2*fi[k3] + s2*gi[k3];
- f3 = fi[k2] - a;
- f2 = fi[k2] + a;
- g3 = gi[k2] - b;
- g2 = gi[k2] + b;
- b = s1*f2 - c1*g3;
- a = c1*f2 + s1*g3;
- fi[k2] = f0 - a;
- fi[0 ] = f0 + a;
- gi[k3] = g1 - b;
- gi[k1] = g1 + b;
- b = c1*g2 - s1*f3;
- a = s1*g2 + c1*f3;
- gi[k2] = g0 - a;
- gi[0 ] = g0 + a;
- fi[k3] = f1 - b;
- fi[k1] = f1 + b;
- gi += k4;
- fi += k4;
- } while (fi<fn);
- c2 = c1;
- c1 = c2 * tri[0] - s1 * tri[1];
- s1 = c2 * tri[1] + s1 * tri[0];
- }
- tri += 2;
- } while (k4<n);
- }
- static const short rv_tbl[] = {
- 0x00, 0x80, 0x40, 0xc0, 0x20, 0xa0, 0x60, 0xe0,
- 0x10, 0x90, 0x50, 0xd0, 0x30, 0xb0, 0x70, 0xf0,
- 0x08, 0x88, 0x48, 0xc8, 0x28, 0xa8, 0x68, 0xe8,
- 0x18, 0x98, 0x58, 0xd8, 0x38, 0xb8, 0x78, 0xf8,
- 0x04, 0x84, 0x44, 0xc4, 0x24, 0xa4, 0x64, 0xe4,
- 0x14, 0x94, 0x54, 0xd4, 0x34, 0xb4, 0x74, 0xf4,
- 0x0c, 0x8c, 0x4c, 0xcc, 0x2c, 0xac, 0x6c, 0xec,
- 0x1c, 0x9c, 0x5c, 0xdc, 0x3c, 0xbc, 0x7c, 0xfc,
- 0x02, 0x82, 0x42, 0xc2, 0x22, 0xa2, 0x62, 0xe2,
- 0x12, 0x92, 0x52, 0xd2, 0x32, 0xb2, 0x72, 0xf2,
- 0x0a, 0x8a, 0x4a, 0xca, 0x2a, 0xaa, 0x6a, 0xea,
- 0x1a, 0x9a, 0x5a, 0xda, 0x3a, 0xba, 0x7a, 0xfa,
- 0x06, 0x86, 0x46, 0xc6, 0x26, 0xa6, 0x66, 0xe6,
- 0x16, 0x96, 0x56, 0xd6, 0x36, 0xb6, 0x76, 0xf6,
- 0x0e, 0x8e, 0x4e, 0xce, 0x2e, 0xae, 0x6e, 0xee,
- 0x1e, 0x9e, 0x5e, 0xde, 0x3e, 0xbe, 0x7e, 0xfe
- };
- #define ch01(index) (buffer[chn][index])
- #define ch2(index) (((FLOAT)(0.5*SQRT2))*(buffer[0][index] + buffer[1][index]))
- #define ch3(index) (((FLOAT)(0.5*SQRT2))*(buffer[0][index] - buffer[1][index]))
- #define ml00(f) (window[i ] * f(i))
- #define ml10(f) (window[0x1ff - i] * f(i + 0x200))
- #define ml20(f) (window[i + 0x100] * f(i + 0x100))
- #define ml30(f) (window[0x0ff - i] * f(i + 0x300))
- #define ml01(f) (window[i + 0x001] * f(i + 0x001))
- #define ml11(f) (window[0x1fe - i] * f(i + 0x201))
- #define ml21(f) (window[i + 0x101] * f(i + 0x101))
- #define ml31(f) (window[0x0fe - i] * f(i + 0x301))
- #define ms00(f) (window_s[i ] * f(i + k))
- #define ms10(f) (window_s[0x7f - i] * f(i + k + 0x80))
- #define ms20(f) (window_s[i + 0x40] * f(i + k + 0x40))
- #define ms30(f) (window_s[0x3f - i] * f(i + k + 0xc0))
- #define ms01(f) (window_s[i + 0x01] * f(i + k + 0x01))
- #define ms11(f) (window_s[0x7e - i] * f(i + k + 0x81))
- #define ms21(f) (window_s[i + 0x41] * f(i + k + 0x41))
- #define ms31(f) (window_s[0x3e - i] * f(i + k + 0xc1))
- void fft_short(
- FLOAT x_real[3][BLKSIZE_s], int chn, short *buffer[2])
- {
- short i, j, b;
- for (b = 0; b < 3; b++) {
- FLOAT *x = &x_real[b][BLKSIZE_s / 2];
- short k = (576 / 3) * (b + 1);
- j = BLKSIZE_s / 8 - 1;
- if (chn < 2) {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[j << 2];
- f0 = ms00(ch01); w = ms10(ch01); f1 = f0 - w; f0 = f0 + w;
- f2 = ms20(ch01); w = ms30(ch01); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ms01(ch01); w = ms11(ch01); f1 = f0 - w; f0 = f0 + w;
- f2 = ms21(ch01); w = ms31(ch01); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE_s / 2 + 0] = f0 + f2;
- x[BLKSIZE_s / 2 + 2] = f0 - f2;
- x[BLKSIZE_s / 2 + 1] = f1 + f3;
- x[BLKSIZE_s / 2 + 3] = f1 - f3;
- } while (--j >= 0);
- } else if (chn == 2) {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[j << 2];
- f0 = ms00(ch2); w = ms10(ch2); f1 = f0 - w; f0 = f0 + w;
- f2 = ms20(ch2); w = ms30(ch2); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ms01(ch2); w = ms11(ch2); f1 = f0 - w; f0 = f0 + w;
- f2 = ms21(ch2); w = ms31(ch2); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE_s / 2 + 0] = f0 + f2;
- x[BLKSIZE_s / 2 + 2] = f0 - f2;
- x[BLKSIZE_s / 2 + 1] = f1 + f3;
- x[BLKSIZE_s / 2 + 3] = f1 - f3;
- } while (--j >= 0);
- } else {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[j << 2];
- f0 = ms00(ch3); w = ms10(ch3); f1 = f0 - w; f0 = f0 + w;
- f2 = ms20(ch3); w = ms30(ch3); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ms01(ch3); w = ms11(ch3); f1 = f0 - w; f0 = f0 + w;
- f2 = ms21(ch3); w = ms31(ch3); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE_s / 2 + 0] = f0 + f2;
- x[BLKSIZE_s / 2 + 2] = f0 - f2;
- x[BLKSIZE_s / 2 + 1] = f1 + f3;
- x[BLKSIZE_s / 2 + 3] = f1 - f3;
- } while (--j >= 0);
- }
- fht(x, BLKSIZE_s);
- }
- }
- void fft_long(
- FLOAT x[BLKSIZE], int chn, short *buffer[2])
- {
- short i,jj = BLKSIZE / 8 - 1;
- x += BLKSIZE / 2;
- if (chn < 2) {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[jj];
- f0 = ml00(ch01); w = ml10(ch01); f1 = f0 - w; f0 = f0 + w;
- f2 = ml20(ch01); w = ml30(ch01); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ml01(ch01); w = ml11(ch01); f1 = f0 - w; f0 = f0 + w;
- f2 = ml21(ch01); w = ml31(ch01); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE / 2 + 0] = f0 + f2;
- x[BLKSIZE / 2 + 2] = f0 - f2;
- x[BLKSIZE / 2 + 1] = f1 + f3;
- x[BLKSIZE / 2 + 3] = f1 - f3;
- } while (--jj >= 0);
- } else if (chn == 2) {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[jj];
- f0 = ml00(ch2); w = ml10(ch2); f1 = f0 - w; f0 = f0 + w;
- f2 = ml20(ch2); w = ml30(ch2); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ml01(ch2); w = ml11(ch2); f1 = f0 - w; f0 = f0 + w;
- f2 = ml21(ch2); w = ml31(ch2); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE / 2 + 0] = f0 + f2;
- x[BLKSIZE / 2 + 2] = f0 - f2;
- x[BLKSIZE / 2 + 1] = f1 + f3;
- x[BLKSIZE / 2 + 3] = f1 - f3;
- } while (--jj >= 0);
- } else {
- do {
- FLOAT f0,f1,f2,f3, w;
- i = rv_tbl[jj];
- f0 = ml00(ch3); w = ml10(ch3); f1 = f0 - w; f0 = f0 + w;
- f2 = ml20(ch3); w = ml30(ch3); f3 = f2 - w; f2 = f2 + w;
- x -= 4;
- x[0] = f0 + f2;
- x[2] = f0 - f2;
- x[1] = f1 + f3;
- x[3] = f1 - f3;
- f0 = ml01(ch3); w = ml11(ch3); f1 = f0 - w; f0 = f0 + w;
- f2 = ml21(ch3); w = ml31(ch3); f3 = f2 - w; f2 = f2 + w;
- x[BLKSIZE / 2 + 0] = f0 + f2;
- x[BLKSIZE / 2 + 2] = f0 - f2;
- x[BLKSIZE / 2 + 1] = f1 + f3;
- x[BLKSIZE / 2 + 3] = f1 - f3;
- } while (--jj >= 0);
- }
- fht(x, BLKSIZE);
- }
- void init_fft(void)
- {
- int i;
- FLOAT r = PI*0.125;
- for (i = 0; i < TRI_SIZE; i++) {
- costab[i*2 ] = cos(r);
- costab[i*2+1] = sin(r);
- r *= 0.25;
- }
- /*
- * calculate HANN window coefficients
- */
- for (i = 0; i < BLKSIZE / 2; i++)
- window[i] = 0.5 * (1.0 - cos(2.0 * PI * (i + 0.5) / BLKSIZE));
- for (i = 0; i < BLKSIZE_s / 2; i++)
- window_s[i] = 0.5 * (1.0 - cos(2.0 * PI * (i + 0.5) / BLKSIZE_s));
- }