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      1 /*
      2  *  Copyright (c) 2011 The WebRTC project authors. All Rights Reserved.
      3  *
      4  *  Use of this source code is governed by a BSD-style license
      5  *  that can be found in the LICENSE file in the root of the source
      6  *  tree. An additional intellectual property rights grant can be found
      7  *  in the file PATENTS.  All contributing project authors may
      8  *  be found in the AUTHORS file in the root of the source tree.
      9  */
     10 
     11 /*
     12  * WebRtcIsacfix_kTransform.c
     13  *
     14  * Transform functions
     15  *
     16  */
     17 
     18 #include "webrtc/modules/audio_coding/codecs/isac/fix/source/codec.h"
     19 #include "webrtc/modules/audio_coding/codecs/isac/fix/source/fft.h"
     20 #include "webrtc/modules/audio_coding/codecs/isac/fix/source/settings.h"
     21 
     22 /* Tables are defined in transform_tables.c file or ARM assembly files. */
     23 /* Cosine table 1 in Q14 */
     24 extern const int16_t WebRtcIsacfix_kCosTab1[FRAMESAMPLES/2];
     25 /* Sine table 1 in Q14 */
     26 extern const int16_t WebRtcIsacfix_kSinTab1[FRAMESAMPLES/2];
     27 /* Sine table 2 in Q14 */
     28 extern const int16_t WebRtcIsacfix_kSinTab2[FRAMESAMPLES/4];
     29 
     30 void WebRtcIsacfix_Time2SpecC(int16_t *inre1Q9,
     31                               int16_t *inre2Q9,
     32                               int16_t *outreQ7,
     33                               int16_t *outimQ7)
     34 {
     35 
     36   int k;
     37   int32_t tmpreQ16[FRAMESAMPLES/2], tmpimQ16[FRAMESAMPLES/2];
     38   int16_t tmp1rQ14, tmp1iQ14;
     39   int32_t xrQ16, xiQ16, yrQ16, yiQ16;
     40   int32_t v1Q16, v2Q16;
     41   int16_t factQ19, sh;
     42 
     43   /* Multiply with complex exponentials and combine into one complex vector */
     44   factQ19 = 16921; // 0.5/sqrt(240) in Q19 is round(.5/sqrt(240)*(2^19)) = 16921
     45   for (k = 0; k < FRAMESAMPLES/2; k++) {
     46     tmp1rQ14 = WebRtcIsacfix_kCosTab1[k];
     47     tmp1iQ14 = WebRtcIsacfix_kSinTab1[k];
     48     xrQ16 = (tmp1rQ14 * inre1Q9[k] + tmp1iQ14 * inre2Q9[k]) >> 7;
     49     xiQ16 = (tmp1rQ14 * inre2Q9[k] - tmp1iQ14 * inre1Q9[k]) >> 7;
     50     // Q-domains below: (Q16*Q19>>16)>>3 = Q16
     51     tmpreQ16[k] = (WEBRTC_SPL_MUL_16_32_RSFT16(factQ19, xrQ16) + 4) >> 3;
     52     tmpimQ16[k] = (WEBRTC_SPL_MUL_16_32_RSFT16(factQ19, xiQ16) + 4) >> 3;
     53   }
     54 
     55 
     56   xrQ16  = WebRtcSpl_MaxAbsValueW32(tmpreQ16, FRAMESAMPLES/2);
     57   yrQ16 = WebRtcSpl_MaxAbsValueW32(tmpimQ16, FRAMESAMPLES/2);
     58   if (yrQ16>xrQ16) {
     59     xrQ16 = yrQ16;
     60   }
     61 
     62   sh = WebRtcSpl_NormW32(xrQ16);
     63   sh = sh-24; //if sh becomes >=0, then we should shift sh steps to the left, and the domain will become Q(16+sh)
     64   //if sh becomes <0, then we should shift -sh steps to the right, and the domain will become Q(16+sh)
     65 
     66   //"Fastest" vectors
     67   if (sh>=0) {
     68     for (k=0; k<FRAMESAMPLES/2; k++) {
     69       inre1Q9[k] = (int16_t)(tmpreQ16[k] << sh);  // Q(16+sh)
     70       inre2Q9[k] = (int16_t)(tmpimQ16[k] << sh);  // Q(16+sh)
     71     }
     72   } else {
     73     int32_t round = 1 << (-sh - 1);
     74     for (k=0; k<FRAMESAMPLES/2; k++) {
     75       inre1Q9[k] = (int16_t)((tmpreQ16[k] + round) >> -sh);  // Q(16+sh)
     76       inre2Q9[k] = (int16_t)((tmpimQ16[k] + round) >> -sh);  // Q(16+sh)
     77     }
     78   }
     79 
     80   /* Get DFT */
     81   WebRtcIsacfix_FftRadix16Fastest(inre1Q9, inre2Q9, -1); // real call
     82 
     83   //"Fastest" vectors
     84   if (sh>=0) {
     85     for (k=0; k<FRAMESAMPLES/2; k++) {
     86       tmpreQ16[k] = inre1Q9[k] >> sh;  // Q(16+sh) -> Q16
     87       tmpimQ16[k] = inre2Q9[k] >> sh;  // Q(16+sh) -> Q16
     88     }
     89   } else {
     90     for (k=0; k<FRAMESAMPLES/2; k++) {
     91       tmpreQ16[k] = inre1Q9[k] << -sh;  // Q(16+sh) -> Q16
     92       tmpimQ16[k] = inre2Q9[k] << -sh;  // Q(16+sh) -> Q16
     93     }
     94   }
     95 
     96 
     97   /* Use symmetry to separate into two complex vectors and center frames in time around zero */
     98   for (k = 0; k < FRAMESAMPLES/4; k++) {
     99     xrQ16 = tmpreQ16[k] + tmpreQ16[FRAMESAMPLES/2 - 1 - k];
    100     yiQ16 = -tmpreQ16[k] + tmpreQ16[FRAMESAMPLES/2 - 1 - k];
    101     xiQ16 = tmpimQ16[k] - tmpimQ16[FRAMESAMPLES/2 - 1 - k];
    102     yrQ16 = tmpimQ16[k] + tmpimQ16[FRAMESAMPLES/2 - 1 - k];
    103     tmp1rQ14 = -WebRtcIsacfix_kSinTab2[FRAMESAMPLES/4 - 1 - k];
    104     tmp1iQ14 = WebRtcIsacfix_kSinTab2[k];
    105     v1Q16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, xrQ16) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, xiQ16);
    106     v2Q16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, xrQ16) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, xiQ16);
    107     outreQ7[k] = (int16_t)(v1Q16 >> 9);
    108     outimQ7[k] = (int16_t)(v2Q16 >> 9);
    109     v1Q16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, yrQ16) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, yiQ16);
    110     v2Q16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, yrQ16) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, yiQ16);
    111     // CalcLrIntQ(v1Q16, 9);
    112     outreQ7[FRAMESAMPLES / 2 - 1 - k] = (int16_t)(v1Q16 >> 9);
    113     // CalcLrIntQ(v2Q16, 9);
    114     outimQ7[FRAMESAMPLES / 2 - 1 - k] = (int16_t)(v2Q16 >> 9);
    115 
    116   }
    117 }
    118 
    119 
    120 void WebRtcIsacfix_Spec2TimeC(int16_t *inreQ7, int16_t *inimQ7, int32_t *outre1Q16, int32_t *outre2Q16)
    121 {
    122 
    123   int k;
    124   int16_t tmp1rQ14, tmp1iQ14;
    125   int32_t xrQ16, xiQ16, yrQ16, yiQ16;
    126   int32_t tmpInRe, tmpInIm, tmpInRe2, tmpInIm2;
    127   int16_t factQ11;
    128   int16_t sh;
    129 
    130   for (k = 0; k < FRAMESAMPLES/4; k++) {
    131     /* Move zero in time to beginning of frames */
    132     tmp1rQ14 = -WebRtcIsacfix_kSinTab2[FRAMESAMPLES/4 - 1 - k];
    133     tmp1iQ14 = WebRtcIsacfix_kSinTab2[k];
    134 
    135     tmpInRe = inreQ7[k] << 9;  // Q7 -> Q16
    136     tmpInIm = inimQ7[k] << 9;  // Q7 -> Q16
    137     tmpInRe2 = inreQ7[FRAMESAMPLES / 2 - 1 - k] << 9;  // Q7 -> Q16
    138     tmpInIm2 = inimQ7[FRAMESAMPLES / 2 - 1 - k] << 9;  // Q7 -> Q16
    139 
    140     xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInRe) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInIm);
    141     xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInIm) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInRe);
    142     yrQ16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInIm2) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInRe2);
    143     yiQ16 = -WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, tmpInRe2) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, tmpInIm2);
    144 
    145     /* Combine into one vector,  z = x + j * y */
    146     outre1Q16[k] = xrQ16 - yiQ16;
    147     outre1Q16[FRAMESAMPLES/2 - 1 - k] = xrQ16 + yiQ16;
    148     outre2Q16[k] = xiQ16 + yrQ16;
    149     outre2Q16[FRAMESAMPLES/2 - 1 - k] = -xiQ16 + yrQ16;
    150   }
    151 
    152   /* Get IDFT */
    153   tmpInRe  = WebRtcSpl_MaxAbsValueW32(outre1Q16, 240);
    154   tmpInIm = WebRtcSpl_MaxAbsValueW32(outre2Q16, 240);
    155   if (tmpInIm>tmpInRe) {
    156     tmpInRe = tmpInIm;
    157   }
    158 
    159   sh = WebRtcSpl_NormW32(tmpInRe);
    160   sh = sh-24; //if sh becomes >=0, then we should shift sh steps to the left, and the domain will become Q(16+sh)
    161   //if sh becomes <0, then we should shift -sh steps to the right, and the domain will become Q(16+sh)
    162 
    163   //"Fastest" vectors
    164   if (sh>=0) {
    165     for (k=0; k<240; k++) {
    166       inreQ7[k] = (int16_t)(outre1Q16[k] << sh);  // Q(16+sh)
    167       inimQ7[k] = (int16_t)(outre2Q16[k] << sh);  // Q(16+sh)
    168     }
    169   } else {
    170     int32_t round = 1 << (-sh - 1);
    171     for (k=0; k<240; k++) {
    172       inreQ7[k] = (int16_t)((outre1Q16[k] + round) >> -sh);  // Q(16+sh)
    173       inimQ7[k] = (int16_t)((outre2Q16[k] + round) >> -sh);  // Q(16+sh)
    174     }
    175   }
    176 
    177   WebRtcIsacfix_FftRadix16Fastest(inreQ7, inimQ7, 1); // real call
    178 
    179   //"Fastest" vectors
    180   if (sh>=0) {
    181     for (k=0; k<240; k++) {
    182       outre1Q16[k] = inreQ7[k] >> sh;  // Q(16+sh) -> Q16
    183       outre2Q16[k] = inimQ7[k] >> sh;  // Q(16+sh) -> Q16
    184     }
    185   } else {
    186     for (k=0; k<240; k++) {
    187       outre1Q16[k] = inreQ7[k] << -sh;  // Q(16+sh) -> Q16
    188       outre2Q16[k] = inimQ7[k] << -sh;  // Q(16+sh) -> Q16
    189     }
    190   }
    191 
    192   /* Divide through by the normalizing constant: */
    193   /* scale all values with 1/240, i.e. with 273 in Q16 */
    194   /* 273/65536 ~= 0.0041656                            */
    195   /*     1/240 ~= 0.0041666                            */
    196   for (k=0; k<240; k++) {
    197     outre1Q16[k] = WEBRTC_SPL_MUL_16_32_RSFT16(273, outre1Q16[k]);
    198     outre2Q16[k] = WEBRTC_SPL_MUL_16_32_RSFT16(273, outre2Q16[k]);
    199   }
    200 
    201   /* Demodulate and separate */
    202   factQ11 = 31727; // sqrt(240) in Q11 is round(15.49193338482967*2048) = 31727
    203   for (k = 0; k < FRAMESAMPLES/2; k++) {
    204     tmp1rQ14 = WebRtcIsacfix_kCosTab1[k];
    205     tmp1iQ14 = WebRtcIsacfix_kSinTab1[k];
    206     xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, outre1Q16[k]) - WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, outre2Q16[k]);
    207     xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT14(tmp1rQ14, outre2Q16[k]) + WEBRTC_SPL_MUL_16_32_RSFT14(tmp1iQ14, outre1Q16[k]);
    208     xrQ16 = WEBRTC_SPL_MUL_16_32_RSFT11(factQ11, xrQ16);
    209     xiQ16 = WEBRTC_SPL_MUL_16_32_RSFT11(factQ11, xiQ16);
    210     outre2Q16[k] = xiQ16;
    211     outre1Q16[k] = xrQ16;
    212   }
    213 }
    214