import type { LameInternalFlags } from './LameInternalFlags'; import { BLKSIZE, BLKSIZE_s } from './constants'; export class FFT { private window: Float32Array = new Float32Array(BLKSIZE); private window_s: Float32Array = new Float32Array(BLKSIZE_s / 2); private readonly costab = [ 9.238795325112867e-1, 3.826834323650898e-1, 9.951847266721969e-1, 9.80171403295606e-2, 9.996988186962042e-1, 2.454122852291229e-2, 9.999811752826011e-1, 6.135884649154475e-3, ] as const; private fht(fz: Float32Array, fzPos: number, n: number) { let tri = 0; let k4: number; let fi: number; let gi: number; n <<= 1; const fn = fzPos + n; k4 = 4; do { let s1; let c1; let i; const kx = k4 >> 1; const k1 = k4; const k2 = k4 << 1; const k3 = k2 + k1; k4 = k2 << 1; fi = fzPos; gi = fi + kx; do { let f0; let f1; let f2; let f3; f1 = fz[fi + 0] - fz[fi + k1]; f0 = fz[fi + 0] + fz[fi + k1]; f3 = fz[fi + k2] - fz[fi + k3]; f2 = fz[fi + k2] + fz[fi + k3]; fz[fi + k2] = f0 - f2; fz[fi + 0] = f0 + f2; fz[fi + k3] = f1 - f3; fz[fi + k1] = f1 + f3; f1 = fz[gi + 0] - fz[gi + k1]; f0 = fz[gi + 0] + fz[gi + k1]; f3 = Math.SQRT2 * fz[gi + k3]; f2 = Math.SQRT2 * fz[gi + k2]; fz[gi + k2] = f0 - f2; fz[gi + 0] = f0 + f2; fz[gi + k3] = f1 - f3; fz[gi + k1] = f1 + f3; gi += k4; fi += k4; } while (fi < fn); c1 = this.costab[tri + 0]; s1 = this.costab[tri + 1]; for (i = 1; i < kx; i++) { let c2: number = 1 - 2 * s1 * s1; const s2 = 2 * s1 * c1; fi = fzPos + i; gi = fzPos + k1 - i; do { let a: number; let b: number; b = s2 * fz[fi + k1] - c2 * fz[gi + k1]; a = c2 * fz[fi + k1] + s2 * fz[gi + k1]; const f1 = fz[fi + 0] - a; const f0 = fz[fi + 0] + a; const g1 = fz[gi + 0] - b; const g0 = fz[gi + 0] + b; b = s2 * fz[fi + k3] - c2 * fz[gi + k3]; a = c2 * fz[fi + k3] + s2 * fz[gi + k3]; const f3 = fz[fi + k2] - a; const f2 = fz[fi + k2] + a; const g3 = fz[gi + k2] - b; const g2 = fz[gi + k2] + b; b = s1 * f2 - c1 * g3; a = c1 * f2 + s1 * g3; fz[fi + k2] = f0 - a; fz[fi + 0] = f0 + a; fz[gi + k3] = g1 - b; fz[gi + k1] = g1 + b; b = c1 * g2 - s1 * f3; a = s1 * g2 + c1 * f3; fz[gi + k2] = g0 - a; fz[gi + 0] = g0 + a; fz[fi + k3] = f1 - b; fz[fi + k1] = f1 + b; gi += k4; fi += k4; } while (fi < fn); c2 = c1; c1 = c2 * this.costab[tri + 0] - s1 * this.costab[tri + 1]; s1 = c2 * this.costab[tri + 1] + s1 * this.costab[tri + 0]; } tri += 2; } while (k4 < n); } private readonly 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, ] as const; fft_short(_gfc: LameInternalFlags, x_real: Float32Array[], chn: number, buffer: Float32Array[], bufPos: number) { for (let b = 0; b < 3; b++) { let x = BLKSIZE_s / 2; const k = 0xffff & ((576 / 3) * (b + 1)); let j = BLKSIZE_s / 8 - 1; do { let f0; let f1; let f2; let f3; let w; const i = this.rv_tbl[j << 2] & 0xff; f0 = this.window_s[i] * buffer[chn][bufPos + i + k]; w = this.window_s[0x7f - i] * buffer[chn][bufPos + i + k + 0x80]; f1 = f0 - w; f0 += w; f2 = this.window_s[i + 0x40] * buffer[chn][bufPos + i + k + 0x40]; w = this.window_s[0x3f - i] * buffer[chn][bufPos + i + k + 0xc0]; f3 = f2 - w; f2 += w; x -= 4; x_real[b][x + 0] = f0 + f2; x_real[b][x + 2] = f0 - f2; x_real[b][x + 1] = f1 + f3; x_real[b][x + 3] = f1 - f3; f0 = this.window_s[i + 0x01] * buffer[chn][bufPos + i + k + 0x01]; w = this.window_s[0x7e - i] * buffer[chn][bufPos + i + k + 0x81]; f1 = f0 - w; f0 += w; f2 = this.window_s[i + 0x41] * buffer[chn][bufPos + i + k + 0x41]; w = this.window_s[0x3e - i] * buffer[chn][bufPos + i + k + 0xc1]; f3 = f2 - w; f2 += w; x_real[b][x + BLKSIZE_s / 2 + 0] = f0 + f2; x_real[b][x + BLKSIZE_s / 2 + 2] = f0 - f2; x_real[b][x + BLKSIZE_s / 2 + 1] = f1 + f3; x_real[b][x + BLKSIZE_s / 2 + 3] = f1 - f3; } while (--j >= 0); this.fht(x_real[b], x, BLKSIZE_s / 2); } } fft_long(_gfc: LameInternalFlags, y: Float32Array, chn: number, buffer: Float32Array[], bufPos: number) { let jj = BLKSIZE / 8 - 1; let x = BLKSIZE / 2; do { let f0; let f1; let f2; let f3; let w; const i = this.rv_tbl[jj] & 0xff; f0 = this.window[i] * buffer[chn][bufPos + i]; w = this.window[i + 0x200] * buffer[chn][bufPos + i + 0x200]; f1 = f0 - w; f0 += w; f2 = this.window[i + 0x100] * buffer[chn][bufPos + i + 0x100]; w = this.window[i + 0x300] * buffer[chn][bufPos + i + 0x300]; f3 = f2 - w; f2 += w; x -= 4; y[x + 0] = f0 + f2; y[x + 2] = f0 - f2; y[x + 1] = f1 + f3; y[x + 3] = f1 - f3; f0 = this.window[i + 0x001] * buffer[chn][bufPos + i + 0x001]; w = this.window[i + 0x201] * buffer[chn][bufPos + i + 0x201]; f1 = f0 - w; f0 += w; f2 = this.window[i + 0x101] * buffer[chn][bufPos + i + 0x101]; w = this.window[i + 0x301] * buffer[chn][bufPos + i + 0x301]; f3 = f2 - w; f2 += w; y[x + BLKSIZE / 2 + 0] = f0 + f2; y[x + BLKSIZE / 2 + 2] = f0 - f2; y[x + BLKSIZE / 2 + 1] = f1 + f3; y[x + BLKSIZE / 2 + 3] = f1 - f3; } while (--jj >= 0); this.fht(y, x, BLKSIZE / 2); } init() { for (let i = 0; i < BLKSIZE; i++) { this.window[i] = 0.42 - 0.5 * Math.cos((2 * Math.PI * (i + 0.5)) / BLKSIZE) + 0.08 * Math.cos((4 * Math.PI * (i + 0.5)) / BLKSIZE); } for (let i = 0; i < BLKSIZE_s / 2; i++) { this.window_s[i] = 0.5 * (1.0 - Math.cos((2.0 * Math.PI * (i + 0.5)) / BLKSIZE_s)); } } }