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+/*
+ * http://www.kurims.kyoto-u.ac.jp/~ooura/fft.html
+ * Copyright Takuya OOURA, 1996-2001
+ *
+ * You may use, copy, modify and distribute this code for any purpose (include
+ * commercial use) and without fee. Please refer to this package when you modify
+ * this code.
+ *
+ * Changes by the WebRTC authors:
+ * - Trivial type modifications.
+ * - Minimal code subset to do rdft of length 128.
+ * - Optimizations because of known length.
+ *
+ * All changes are covered by the WebRTC license and IP grant:
+ * Use of this source code is governed by a BSD-style license
+ * that can be found in the LICENSE file in the root of the source
+ * tree. An additional intellectual property rights grant can be found
+ * in the file PATENTS. All contributing project authors may
+ * be found in the AUTHORS file in the root of the source tree.
+ */
+
+#include <math.h>
+
+#include "aec_rdft.h"
+#include "system_wrappers/interface/cpu_features_wrapper.h"
+
+float rdft_w[64];
+static int ip[16];
+
+static void bitrv2_32or128(int n, int *ip, float *a) {
+ // n is 32 or 128
+ int j, j1, k, k1, m, m2;
+ float xr, xi, yr, yi;
+
+ ip[0] = 0;
+ {
+ int l = n;
+ m = 1;
+ while ((m << 3) < l) {
+ l >>= 1;
+ for (j = 0; j < m; j++) {
+ ip[m + j] = ip[j] + l;
+ }
+ m <<= 1;
+ }
+ }
+ m2 = 2 * m;
+ for (k = 0; k < m; k++) {
+ for (j = 0; j < k; j++) {
+ j1 = 2 * j + ip[k];
+ k1 = 2 * k + ip[j];
+ xr = a[j1];
+ xi = a[j1 + 1];
+ yr = a[k1];
+ yi = a[k1 + 1];
+ a[j1] = yr;
+ a[j1 + 1] = yi;
+ a[k1] = xr;
+ a[k1 + 1] = xi;
+ j1 += m2;
+ k1 += 2 * m2;
+ xr = a[j1];
+ xi = a[j1 + 1];
+ yr = a[k1];
+ yi = a[k1 + 1];
+ a[j1] = yr;
+ a[j1 + 1] = yi;
+ a[k1] = xr;
+ a[k1 + 1] = xi;
+ j1 += m2;
+ k1 -= m2;
+ xr = a[j1];
+ xi = a[j1 + 1];
+ yr = a[k1];
+ yi = a[k1 + 1];
+ a[j1] = yr;
+ a[j1 + 1] = yi;
+ a[k1] = xr;
+ a[k1 + 1] = xi;
+ j1 += m2;
+ k1 += 2 * m2;
+ xr = a[j1];
+ xi = a[j1 + 1];
+ yr = a[k1];
+ yi = a[k1 + 1];
+ a[j1] = yr;
+ a[j1 + 1] = yi;
+ a[k1] = xr;
+ a[k1 + 1] = xi;
+ }
+ j1 = 2 * k + m2 + ip[k];
+ k1 = j1 + m2;
+ xr = a[j1];
+ xi = a[j1 + 1];
+ yr = a[k1];
+ yi = a[k1 + 1];
+ a[j1] = yr;
+ a[j1 + 1] = yi;
+ a[k1] = xr;
+ a[k1 + 1] = xi;
+ }
+}
+
+static void makewt_32() {
+ const int nw = 32;
+ int j, nwh;
+ float delta, x, y;
+
+ ip[0] = nw;
+ ip[1] = 1;
+ nwh = nw >> 1;
+ delta = atanf(1.0f) / nwh;
+ rdft_w[0] = 1;
+ rdft_w[1] = 0;
+ rdft_w[nwh] = cosf(delta * nwh);
+ rdft_w[nwh + 1] = rdft_w[nwh];
+ for (j = 2; j < nwh; j += 2) {
+ x = cosf(delta * j);
+ y = sinf(delta * j);
+ rdft_w[j] = x;
+ rdft_w[j + 1] = y;
+ rdft_w[nw - j] = y;
+ rdft_w[nw - j + 1] = x;
+ }
+ bitrv2_32or128(nw, ip + 2, rdft_w);
+}
+
+static void makect_32() {
+ float *c = rdft_w + 32;
+ const int nc = 32;
+ int j, nch;
+ float delta;
+
+ ip[1] = nc;
+ nch = nc >> 1;
+ delta = atanf(1.0f) / nch;
+ c[0] = cosf(delta * nch);
+ c[nch] = 0.5f * c[0];
+ for (j = 1; j < nch; j++) {
+ c[j] = 0.5f * cosf(delta * j);
+ c[nc - j] = 0.5f * sinf(delta * j);
+ }
+}
+
+static void cft1st_128(float *a) {
+ const int n = 128;
+ int j, k1, k2;
+ float wk1r, wk1i, wk2r, wk2i, wk3r, wk3i;
+ float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
+
+ x0r = a[0] + a[2];
+ x0i = a[1] + a[3];
+ x1r = a[0] - a[2];
+ x1i = a[1] - a[3];
+ x2r = a[4] + a[6];
+ x2i = a[5] + a[7];
+ x3r = a[4] - a[6];
+ x3i = a[5] - a[7];
+ a[0] = x0r + x2r;
+ a[1] = x0i + x2i;
+ a[4] = x0r - x2r;
+ a[5] = x0i - x2i;
+ a[2] = x1r - x3i;
+ a[3] = x1i + x3r;
+ a[6] = x1r + x3i;
+ a[7] = x1i - x3r;
+ wk1r = rdft_w[2];
+ x0r = a[8] + a[10];
+ x0i = a[9] + a[11];
+ x1r = a[8] - a[10];
+ x1i = a[9] - a[11];
+ x2r = a[12] + a[14];
+ x2i = a[13] + a[15];
+ x3r = a[12] - a[14];
+ x3i = a[13] - a[15];
+ a[8] = x0r + x2r;
+ a[9] = x0i + x2i;
+ a[12] = x2i - x0i;
+ a[13] = x0r - x2r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[10] = wk1r * (x0r - x0i);
+ a[11] = wk1r * (x0r + x0i);
+ x0r = x3i + x1r;
+ x0i = x3r - x1i;
+ a[14] = wk1r * (x0i - x0r);
+ a[15] = wk1r * (x0i + x0r);
+ k1 = 0;
+ for (j = 16; j < n; j += 16) {
+ k1 += 2;
+ k2 = 2 * k1;
+ wk2r = rdft_w[k1];
+ wk2i = rdft_w[k1 + 1];
+ wk1r = rdft_w[k2];
+ wk1i = rdft_w[k2 + 1];
+ wk3r = wk1r - 2 * wk2i * wk1i;
+ wk3i = 2 * wk2i * wk1r - wk1i;
+ x0r = a[j] + a[j + 2];
+ x0i = a[j + 1] + a[j + 3];
+ x1r = a[j] - a[j + 2];
+ x1i = a[j + 1] - a[j + 3];
+ x2r = a[j + 4] + a[j + 6];
+ x2i = a[j + 5] + a[j + 7];
+ x3r = a[j + 4] - a[j + 6];
+ x3i = a[j + 5] - a[j + 7];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ x0r -= x2r;
+ x0i -= x2i;
+ a[j + 4] = wk2r * x0r - wk2i * x0i;
+ a[j + 5] = wk2r * x0i + wk2i * x0r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[j + 2] = wk1r * x0r - wk1i * x0i;
+ a[j + 3] = wk1r * x0i + wk1i * x0r;
+ x0r = x1r + x3i;
+ x0i = x1i - x3r;
+ a[j + 6] = wk3r * x0r - wk3i * x0i;
+ a[j + 7] = wk3r * x0i + wk3i * x0r;
+ wk1r = rdft_w[k2 + 2];
+ wk1i = rdft_w[k2 + 3];
+ wk3r = wk1r - 2 * wk2r * wk1i;
+ wk3i = 2 * wk2r * wk1r - wk1i;
+ x0r = a[j + 8] + a[j + 10];
+ x0i = a[j + 9] + a[j + 11];
+ x1r = a[j + 8] - a[j + 10];
+ x1i = a[j + 9] - a[j + 11];
+ x2r = a[j + 12] + a[j + 14];
+ x2i = a[j + 13] + a[j + 15];
+ x3r = a[j + 12] - a[j + 14];
+ x3i = a[j + 13] - a[j + 15];
+ a[j + 8] = x0r + x2r;
+ a[j + 9] = x0i + x2i;
+ x0r -= x2r;
+ x0i -= x2i;
+ a[j + 12] = -wk2i * x0r - wk2r * x0i;
+ a[j + 13] = -wk2i * x0i + wk2r * x0r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[j + 10] = wk1r * x0r - wk1i * x0i;
+ a[j + 11] = wk1r * x0i + wk1i * x0r;
+ x0r = x1r + x3i;
+ x0i = x1i - x3r;
+ a[j + 14] = wk3r * x0r - wk3i * x0i;
+ a[j + 15] = wk3r * x0i + wk3i * x0r;
+ }
+}
+
+static void cftmdl_128(int l, float *a) {
+ const int n = 128;
+ int j, j1, j2, j3, k, k1, k2, m, m2;
+ float wk1r, wk1i, wk2r, wk2i, wk3r, wk3i;
+ float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
+
+ m = l << 2;
+ for (j = 0; j < l; j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = a[j + 1] + a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = a[j + 1] - a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ a[j2] = x0r - x2r;
+ a[j2 + 1] = x0i - x2i;
+ a[j1] = x1r - x3i;
+ a[j1 + 1] = x1i + x3r;
+ a[j3] = x1r + x3i;
+ a[j3 + 1] = x1i - x3r;
+ }
+ wk1r = rdft_w[2];
+ for (j = m; j < l + m; j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = a[j + 1] + a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = a[j + 1] - a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ a[j2] = x2i - x0i;
+ a[j2 + 1] = x0r - x2r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[j1] = wk1r * (x0r - x0i);
+ a[j1 + 1] = wk1r * (x0r + x0i);
+ x0r = x3i + x1r;
+ x0i = x3r - x1i;
+ a[j3] = wk1r * (x0i - x0r);
+ a[j3 + 1] = wk1r * (x0i + x0r);
+ }
+ k1 = 0;
+ m2 = 2 * m;
+ for (k = m2; k < n; k += m2) {
+ k1 += 2;
+ k2 = 2 * k1;
+ wk2r = rdft_w[k1];
+ wk2i = rdft_w[k1 + 1];
+ wk1r = rdft_w[k2];
+ wk1i = rdft_w[k2 + 1];
+ wk3r = wk1r - 2 * wk2i * wk1i;
+ wk3i = 2 * wk2i * wk1r - wk1i;
+ for (j = k; j < l + k; j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = a[j + 1] + a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = a[j + 1] - a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ x0r -= x2r;
+ x0i -= x2i;
+ a[j2] = wk2r * x0r - wk2i * x0i;
+ a[j2 + 1] = wk2r * x0i + wk2i * x0r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[j1] = wk1r * x0r - wk1i * x0i;
+ a[j1 + 1] = wk1r * x0i + wk1i * x0r;
+ x0r = x1r + x3i;
+ x0i = x1i - x3r;
+ a[j3] = wk3r * x0r - wk3i * x0i;
+ a[j3 + 1] = wk3r * x0i + wk3i * x0r;
+ }
+ wk1r = rdft_w[k2 + 2];
+ wk1i = rdft_w[k2 + 3];
+ wk3r = wk1r - 2 * wk2r * wk1i;
+ wk3i = 2 * wk2r * wk1r - wk1i;
+ for (j = k + m; j < l + (k + m); j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = a[j + 1] + a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = a[j + 1] - a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ x0r -= x2r;
+ x0i -= x2i;
+ a[j2] = -wk2i * x0r - wk2r * x0i;
+ a[j2 + 1] = -wk2i * x0i + wk2r * x0r;
+ x0r = x1r - x3i;
+ x0i = x1i + x3r;
+ a[j1] = wk1r * x0r - wk1i * x0i;
+ a[j1 + 1] = wk1r * x0i + wk1i * x0r;
+ x0r = x1r + x3i;
+ x0i = x1i - x3r;
+ a[j3] = wk3r * x0r - wk3i * x0i;
+ a[j3 + 1] = wk3r * x0i + wk3i * x0r;
+ }
+ }
+}
+
+static void cftfsub_128(float *a) {
+ int j, j1, j2, j3, l;
+ float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
+
+ cft1st_128(a);
+ cftmdl_128(8, a);
+ l = 32;
+ for (j = 0; j < l; j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = a[j + 1] + a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = a[j + 1] - a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i + x2i;
+ a[j2] = x0r - x2r;
+ a[j2 + 1] = x0i - x2i;
+ a[j1] = x1r - x3i;
+ a[j1 + 1] = x1i + x3r;
+ a[j3] = x1r + x3i;
+ a[j3 + 1] = x1i - x3r;
+ }
+}
+
+static void cftbsub_128(float *a) {
+ int j, j1, j2, j3, l;
+ float x0r, x0i, x1r, x1i, x2r, x2i, x3r, x3i;
+
+ cft1st_128(a);
+ cftmdl_128(8, a);
+ l = 32;
+
+ for (j = 0; j < l; j += 2) {
+ j1 = j + l;
+ j2 = j1 + l;
+ j3 = j2 + l;
+ x0r = a[j] + a[j1];
+ x0i = -a[j + 1] - a[j1 + 1];
+ x1r = a[j] - a[j1];
+ x1i = -a[j + 1] + a[j1 + 1];
+ x2r = a[j2] + a[j3];
+ x2i = a[j2 + 1] + a[j3 + 1];
+ x3r = a[j2] - a[j3];
+ x3i = a[j2 + 1] - a[j3 + 1];
+ a[j] = x0r + x2r;
+ a[j + 1] = x0i - x2i;
+ a[j2] = x0r - x2r;
+ a[j2 + 1] = x0i + x2i;
+ a[j1] = x1r - x3i;
+ a[j1 + 1] = x1i - x3r;
+ a[j3] = x1r + x3i;
+ a[j3 + 1] = x1i + x3r;
+ }
+}
+
+static void rftfsub_128_C(float *a) {
+ const float *c = rdft_w + 32;
+ int j1, j2, k1, k2;
+ float wkr, wki, xr, xi, yr, yi;
+
+ for (j1 = 1, j2 = 2; j2 < 64; j1 += 1, j2 += 2) {
+ k2 = 128 - j2;
+ k1 = 32 - j1;
+ wkr = 0.5f - c[k1];
+ wki = c[j1];
+ xr = a[j2 + 0] - a[k2 + 0];
+ xi = a[j2 + 1] + a[k2 + 1];
+ yr = wkr * xr - wki * xi;
+ yi = wkr * xi + wki * xr;
+ a[j2 + 0] -= yr;
+ a[j2 + 1] -= yi;
+ a[k2 + 0] += yr;
+ a[k2 + 1] -= yi;
+ }
+}
+
+static void rftbsub_128_C(float *a) {
+ const float *c = rdft_w + 32;
+ int j1, j2, k1, k2;
+ float wkr, wki, xr, xi, yr, yi;
+
+ a[1] = -a[1];
+ for (j1 = 1, j2 = 2; j2 < 64; j1 += 1, j2 += 2) {
+ k2 = 128 - j2;
+ k1 = 32 - j1;
+ wkr = 0.5f - c[k1];
+ wki = c[j1];
+ xr = a[j2 + 0] - a[k2 + 0];
+ xi = a[j2 + 1] + a[k2 + 1];
+ yr = wkr * xr + wki * xi;
+ yi = wkr * xi - wki * xr;
+ a[j2 + 0] = a[j2 + 0] - yr;
+ a[j2 + 1] = yi - a[j2 + 1];
+ a[k2 + 0] = yr + a[k2 + 0];
+ a[k2 + 1] = yi - a[k2 + 1];
+ }
+ a[65] = -a[65];
+}
+
+void aec_rdft_forward_128(float *a) {
+ const int n = 128;
+ int nw;
+ float xi;
+
+ nw = ip[0];
+ bitrv2_32or128(n, ip + 2, a);
+ cftfsub_128(a);
+ rftfsub_128(a);
+ xi = a[0] - a[1];
+ a[0] += a[1];
+ a[1] = xi;
+}
+
+void aec_rdft_inverse_128(float *a) {
+ const int n = 128;
+ int nw;
+ float xi;
+
+ nw = ip[0];
+ a[1] = 0.5f * (a[0] - a[1]);
+ a[0] -= a[1];
+ rftbsub_128(a);
+ bitrv2_32or128(n, ip + 2, a);
+ cftbsub_128(a);
+}
+
+// code path selection
+rft_sub_128_t rftfsub_128;
+rft_sub_128_t rftbsub_128;
+
+void aec_rdft_init(void) {
+ rftfsub_128 = rftfsub_128_C;
+ rftbsub_128 = rftbsub_128_C;
+ if (WebRtc_GetCPUInfo(kSSE2)) {
+#if defined(__SSE2__)
+ aec_rdft_init_sse2();
+#endif
+ }
+ // init library constants.
+ makewt_32();
+ makect_32();
+}