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/*
* Copyright (c) 2011 The WebRTC project authors. All Rights Reserved.
*
* 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.
*/
/*
* WebRtcIsacfix_kTransform.c
*
* Transform functions
*
*/
#include "fft.h"
#include "codec.h"
#include "settings.h"
/* Cosine table 1 in Q14 */
static const WebRtc_Word16 kCosTab1[FRAMESAMPLES/2] = {
16384, 16383, 16378, 16371, 16362, 16349, 16333, 16315, 16294, 16270,
16244, 16214, 16182, 16147, 16110, 16069, 16026, 15980, 15931, 15880,
15826, 15769, 15709, 15647, 15582, 15515, 15444, 15371, 15296, 15218,
15137, 15053, 14968, 14879, 14788, 14694, 14598, 14500, 14399, 14295,
14189, 14081, 13970, 13856, 13741, 13623, 13502, 13380, 13255, 13128,
12998, 12867, 12733, 12597, 12458, 12318, 12176, 12031, 11885, 11736,
11585, 11433, 11278, 11121, 10963, 10803, 10641, 10477, 10311, 10143,
9974, 9803, 9630, 9456, 9280, 9102, 8923, 8743, 8561, 8377,
8192, 8006, 7818, 7629, 7438, 7246, 7053, 6859, 6664, 6467,
6270, 6071, 5872, 5671, 5469, 5266, 5063, 4859, 4653, 4447,
4240, 4033, 3825, 3616, 3406, 3196, 2986, 2775, 2563, 2351,
2139, 1926, 1713, 1499, 1285, 1072, 857, 643, 429, 214,
0, -214, -429, -643, -857, -1072, -1285, -1499, -1713, -1926,
-2139, -2351, -2563, -2775, -2986, -3196, -3406, -3616, -3825, -4033,
-4240, -4447, -4653, -4859, -5063, -5266, -5469, -5671, -5872, -6071,
-6270, -6467, -6664, -6859, -7053, -7246, -7438, -7629, -7818, -8006,
-8192, -8377, -8561, -8743, -8923, -9102, -9280, -9456, -9630, -9803,
-9974, -10143, -10311, -10477, -10641, -10803, -10963, -11121, -11278, -11433,
-11585, -11736, -11885, -12031, -12176, -12318, -12458, -12597, -12733, -12867,
-12998, -13128, -13255, -13380, -13502, -13623, -13741, -13856, -13970, -14081,
-14189, -14295, -14399, -14500, -14598, -14694, -14788, -14879, -14968, -15053,
-15137, -15218, -15296, -15371, -15444, -15515, -15582, -15647, -15709, -15769,
-15826, -15880, -15931, -15980, -16026, -16069, -16110, -16147, -16182, -16214,
-16244, -16270, -16294, -16315, -16333, -16349, -16362, -16371, -16378, -16383
};
/* Sine table 1 in Q14 */
static const WebRtc_Word16 kSinTab1[FRAMESAMPLES/2] = {
0, 214, 429, 643, 857, 1072, 1285, 1499, 1713, 1926,
2139, 2351, 2563, 2775, 2986, 3196, 3406, 3616, 3825, 4033,
4240, 4447, 4653, 4859, 5063, 5266, 5469, 5671, 5872, 6071,
6270, 6467, 6664, 6859, 7053, 7246, 7438, 7629, 7818, 8006,
8192, 8377, 8561, 8743, 8923, 9102, 9280, 9456, 9630, 9803,
9974, 10143, 10311, 10477, 10641, 10803, 10963, 11121, 11278, 11433,
11585, 11736, 11885, 12031, 12176, 12318, 12458, 12597, 12733, 12867,
12998, 13128, 13255, 13380, 13502, 13623, 13741, 13856, 13970, 14081,
14189, 14295, 14399, 14500, 14598, 14694, 14788, 14879, 14968, 15053,
15137, 15218, 15296, 15371, 15444, 15515, 15582, 15647, 15709, 15769,
15826, 15880, 15931, 15980, 16026, 16069, 16110, 16147, 16182, 16214,
16244, 16270, 16294, 16315, 16333, 16349, 16362, 16371, 16378, 16383,
16384, 16383, 16378, 16371, 16362, 16349, 16333, 16315, 16294, 16270,
16244, 16214, 16182, 16147, 16110, 16069, 16026, 15980, 15931, 15880,
15826, 15769, 15709, 15647, 15582, 15515, 15444, 15371, 15296, 15218,
15137, 15053, 14968, 14879, 14788, 14694, 14598, 14500, 14399, 14295,
14189, 14081, 13970, 13856, 13741, 13623, 13502, 13380, 13255, 13128,
12998, 12867, 12733, 12597, 12458, 12318, 12176, 12031, 11885, 11736,
11585, 11433, 11278, 11121, 10963, 10803, 10641, 10477, 10311, 10143,
9974, 9803, 9630, 9456, 9280, 9102, 8923, 8743, 8561, 8377,
8192, 8006, 7818, 7629, 7438, 7246, 7053, 6859, 6664, 6467,
6270, 6071, 5872, 5671, 5469, 5266, 5063, 4859, 4653, 4447,
4240, 4033, 3825, 3616, 3406, 3196, 2986, 2775, 2563, 2351,
2139, 1926, 1713, 1499, 1285, 1072, 857, 643, 429, 214
};
/* Cosine table 2 in Q14 */
static const WebRtc_Word16 kCosTab2[FRAMESAMPLES/4] = {
107, -322, 536, -750, 965, -1179, 1392, -1606, 1819, -2032,
2245, -2457, 2669, -2880, 3091, -3301, 3511, -3720, 3929, -4137,
4344, -4550, 4756, -4961, 5165, -5368, 5570, -5771, 5971, -6171,
6369, -6566, 6762, -6957, 7150, -7342, 7534, -7723, 7912, -8099,
8285, -8469, 8652, -8833, 9013, -9191, 9368, -9543, 9717, -9889,
10059, -10227, 10394, -10559, 10722, -10883, 11042, -11200, 11356, -11509,
11661, -11810, 11958, -12104, 12247, -12389, 12528, -12665, 12800, -12933,
13063, -13192, 13318, -13441, 13563, -13682, 13799, -13913, 14025, -14135,
14242, -14347, 14449, -14549, 14647, -14741, 14834, -14924, 15011, -15095,
15178, -15257, 15334, -15408, 15480, -15549, 15615, -15679, 15739, -15798,
15853, -15906, 15956, -16003, 16048, -16090, 16129, -16165, 16199, -16229,
16257, -16283, 16305, -16325, 16342, -16356, 16367, -16375, 16381, -16384
};
/* Sine table 2 in Q14 */
static const WebRtc_Word16 kSinTab2[FRAMESAMPLES/4] = {
16384, -16381, 16375, -16367, 16356, -16342, 16325, -16305, 16283, -16257,
16229, -16199, 16165, -16129, 16090, -16048, 16003, -15956, 15906, -15853,
15798, -15739, 15679, -15615, 15549, -15480, 15408, -15334, 15257, -15178,
15095, -15011, 14924, -14834, 14741, -14647, 14549, -14449, 14347, -14242,
14135, -14025, 13913, -13799, 13682, -13563, 13441, -13318, 13192, -13063,
12933, -12800, 12665, -12528, 12389, -12247, 12104, -11958, 11810, -11661,
11509, -11356, 11200, -11042, 10883, -10722, 10559, -10394, 10227, -10059,
9889, -9717, 9543, -9368, 9191, -9013, 8833, -8652, 8469, -8285,
8099, -7912, 7723, -7534, 7342, -7150, 6957, -6762, 6566, -6369,
6171, -5971, 5771, -5570, 5368, -5165, 4961, -4756, 4550, -4344,
4137, -3929, 3720, -3511, 3301, -3091, 2880, -2669, 2457, -2245,
2032, -1819, 1606, -1392, 1179, -965, 750, -536, 322, -107
};
void WebRtcIsacfix_Time2Spec(WebRtc_Word16 *inre1Q9,
WebRtc_Word16 *inre2Q9,
WebRtc_Word16 *outreQ7,
WebRtc_Word16 *outimQ7)
{
int k;
WebRtc_Word32 tmpreQ16[FRAMESAMPLES/2], tmpimQ16[FRAMESAMPLES/2];
WebRtc_Word16 tmp1rQ14, tmp1iQ14;
WebRtc_Word32 xrQ16, xiQ16, yrQ16, yiQ16;
WebRtc_Word32 v1Q16, v2Q16;
WebRtc_Word16 factQ19, sh;
/* Multiply with complex exponentials and combine into one complex vector */
factQ19 = 16921; // 0.5/sqrt(240) in Q19 is round(.5/sqrt(240)*(2^19)) = 16921
for (k = 0; k < FRAMESAMPLES/2; k++) {
tmp1rQ14 = kCosTab1[k];
tmp1iQ14 = kSinTab1[k];
xrQ16 = WEBRTC_SPL_RSHIFT_W32(WEBRTC_SPL_MUL_16_16(tmp1rQ14, inre1Q9[k]) + WEBRTC_SPL_MUL_16_16(tmp1iQ14, inre2Q9[k]), 7);
xiQ16 = WEBRTC_SPL_RSHIFT_W32(WEBRTC_SPL_MUL_16_16(tmp1rQ14, inre2Q9[k]) - WEBRTC_SPL_MUL_16_16(tmp1iQ14, inre1Q9[k]), 7);
tmpreQ16[k] = WEBRTC_SPL_RSHIFT_W32(WEBRTC_SPL_MUL_16_32_RSFT16(factQ19, xrQ16)+4, 3); // (Q16*Q19>>16)>>3 = Q16
tmpimQ16[k] = WEBRTC_SPL_RSHIFT_W32(WEBRTC_SPL_MUL_16_32_RSFT16(factQ19, xiQ16)+4, 3); // (Q16*Q19>>16)>>3 = Q16
}
xrQ16 = WebRtcSpl_MaxAbsValueW32(tmpreQ16, FRAMESAMPLES/2);
yrQ16 = WebRtcSpl_MaxAbsValueW32(tmpimQ16, FRAMESAMPLES/2);
if (yrQ16>xrQ16) {
xrQ16 = yrQ16;
}
sh = WebRtcSpl_NormW32(xrQ16);
sh = sh-24; //if sh becomes >=0, then we should shift sh steps to the left, and the domain will become Q(16+sh)
//if sh becomes <0, then we should shift -sh steps to the right, and the domain will become Q(16+sh)
//"Fastest" vectors
if (sh>=0) {
for (k=0; k<FRAMESAMPLES/2; k++) {
inre1Q9[k] = (WebRtc_Word16) WEBRTC_SPL_LSHIFT_W32(tmpreQ16[k], sh); //Q(16+sh)
inre2Q9[k] = (WebRtc_Word16) WEBRTC_SPL_LSHIFT_W32(tmpimQ16[k], sh); //Q(16+sh)
}
} else {
WebRtc_Word32 round = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)1, -sh-1);
for (k=0; k<FRAMESAMPLES/2; k++) {
inre1Q9[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(tmpreQ16[k]+round, -sh); //Q(16+sh)
inre2Q9[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(tmpimQ16[k]+round, -sh); //Q(16+sh)
}
}
/* Get DFT */
WebRtcIsacfix_FftRadix16Fastest(inre1Q9, inre2Q9, -1); // real call
//"Fastest" vectors
if (sh>=0) {
for (k=0; k<FRAMESAMPLES/2; k++) {
tmpreQ16[k] = WEBRTC_SPL_RSHIFT_W32((WebRtc_Word32)inre1Q9[k], sh); //Q(16+sh) -> Q16
tmpimQ16[k] = WEBRTC_SPL_RSHIFT_W32((WebRtc_Word32)inre2Q9[k], sh); //Q(16+sh) -> Q16
}
} else {
for (k=0; k<FRAMESAMPLES/2; k++) {
tmpreQ16[k] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)inre1Q9[k], -sh); //Q(16+sh) -> Q16
tmpimQ16[k] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)inre2Q9[k], -sh); //Q(16+sh) -> Q16
}
}
/* Use symmetry to separate into two complex vectors and center frames in time around zero */
for (k = 0; k < FRAMESAMPLES/4; k++) {
xrQ16 = tmpreQ16[k] + tmpreQ16[FRAMESAMPLES/2 - 1 - k];
yiQ16 = -tmpreQ16[k] + tmpreQ16[FRAMESAMPLES/2 - 1 - k];
xiQ16 = tmpimQ16[k] - tmpimQ16[FRAMESAMPLES/2 - 1 - k];
yrQ16 = tmpimQ16[k] + tmpimQ16[FRAMESAMPLES/2 - 1 - k];
tmp1rQ14 = kCosTab2[k];
tmp1iQ14 = kSinTab2[k];
v1Q16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, xrQ16) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, xiQ16);
v2Q16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, xrQ16) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, xiQ16);
outreQ7[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(v1Q16, 9);
outimQ7[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(v2Q16, 9);
v1Q16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, yrQ16) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, yiQ16);
v2Q16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, yrQ16) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, yiQ16);
outreQ7[FRAMESAMPLES/2 - 1 - k] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(v1Q16, 9); //CalcLrIntQ(v1Q16, 9);
outimQ7[FRAMESAMPLES/2 - 1 - k] = (WebRtc_Word16)WEBRTC_SPL_RSHIFT_W32(v2Q16, 9); //CalcLrIntQ(v2Q16, 9);
}
}
void WebRtcIsacfix_Spec2Time(WebRtc_Word16 *inreQ7, WebRtc_Word16 *inimQ7, WebRtc_Word32 *outre1Q16, WebRtc_Word32 *outre2Q16)
{
int k;
WebRtc_Word16 tmp1rQ14, tmp1iQ14;
WebRtc_Word32 xrQ16, xiQ16, yrQ16, yiQ16;
WebRtc_Word32 tmpInRe, tmpInIm, tmpInRe2, tmpInIm2;
WebRtc_Word16 factQ11;
WebRtc_Word16 sh;
for (k = 0; k < FRAMESAMPLES/4; k++) {
/* Move zero in time to beginning of frames */
tmp1rQ14 = kCosTab2[k];
tmp1iQ14 = kSinTab2[k];
tmpInRe = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32) inreQ7[k], 9); // Q7 -> Q16
tmpInIm = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32) inimQ7[k], 9); // Q7 -> Q16
tmpInRe2 = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32) inreQ7[FRAMESAMPLES/2 - 1 - k], 9); // Q7 -> Q16
tmpInIm2 = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32) inimQ7[FRAMESAMPLES/2 - 1 - k], 9); // Q7 -> Q16
xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInRe) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInIm);
xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInIm) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInRe);
yrQ16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInIm2) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInRe2);
yiQ16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInRe2) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInIm2);
/* Combine into one vector, z = x + j * y */
outre1Q16[k] = xrQ16 - yiQ16;
outre1Q16[FRAMESAMPLES/2 - 1 - k] = xrQ16 + yiQ16;
outre2Q16[k] = xiQ16 + yrQ16;
outre2Q16[FRAMESAMPLES/2 - 1 - k] = -xiQ16 + yrQ16;
}
/* Get IDFT */
tmpInRe = WebRtcSpl_MaxAbsValueW32(outre1Q16, 240);
tmpInIm = WebRtcSpl_MaxAbsValueW32(outre2Q16, 240);
if (tmpInIm>tmpInRe) {
tmpInRe = tmpInIm;
}
sh = WebRtcSpl_NormW32(tmpInRe);
sh = sh-24; //if sh becomes >=0, then we should shift sh steps to the left, and the domain will become Q(16+sh)
//if sh becomes <0, then we should shift -sh steps to the right, and the domain will become Q(16+sh)
//"Fastest" vectors
if (sh>=0) {
for (k=0; k<240; k++) {
inreQ7[k] = (WebRtc_Word16) WEBRTC_SPL_LSHIFT_W32(outre1Q16[k], sh); //Q(16+sh)
inimQ7[k] = (WebRtc_Word16) WEBRTC_SPL_LSHIFT_W32(outre2Q16[k], sh); //Q(16+sh)
}
} else {
WebRtc_Word32 round = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)1, -sh-1);
for (k=0; k<240; k++) {
inreQ7[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(outre1Q16[k]+round, -sh); //Q(16+sh)
inimQ7[k] = (WebRtc_Word16) WEBRTC_SPL_RSHIFT_W32(outre2Q16[k]+round, -sh); //Q(16+sh)
}
}
WebRtcIsacfix_FftRadix16Fastest(inreQ7, inimQ7, 1); // real call
//"Fastest" vectors
if (sh>=0) {
for (k=0; k<240; k++) {
outre1Q16[k] = WEBRTC_SPL_RSHIFT_W32((WebRtc_Word32)inreQ7[k], sh); //Q(16+sh) -> Q16
outre2Q16[k] = WEBRTC_SPL_RSHIFT_W32((WebRtc_Word32)inimQ7[k], sh); //Q(16+sh) -> Q16
}
} else {
for (k=0; k<240; k++) {
outre1Q16[k] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)inreQ7[k], -sh); //Q(16+sh) -> Q16
outre2Q16[k] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)inimQ7[k], -sh); //Q(16+sh) -> Q16
}
}
/* Divide through by the normalizing constant: */
/* scale all values with 1/240, i.e. with 273 in Q16 */
/* 273/65536 ~= 0.0041656 */
/* 1/240 ~= 0.0041666 */
for (k=0; k<240; k++) {
outre1Q16[k] = WEBRTC_SPL_MUL_16_32_RSFT16(273, outre1Q16[k]);
outre2Q16[k] = WEBRTC_SPL_MUL_16_32_RSFT16(273, outre2Q16[k]);
}
/* Demodulate and separate */
factQ11 = 31727; // sqrt(240) in Q11 is round(15.49193338482967*2048) = 31727
for (k = 0; k < FRAMESAMPLES/2; k++) {
tmp1rQ14 = kCosTab1[k];
tmp1iQ14 = kSinTab1[k];
xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, outre1Q16[k]) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, outre2Q16[k]);
xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, outre2Q16[k]) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, outre1Q16[k]);
xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT11(factQ11, xrQ16);
xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT11(factQ11, xiQ16);
outre2Q16[k] = xiQ16;
outre1Q16[k] = xrQ16;
}
}
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