iac: generate codec tables as they are supposed to be

Unlike its predecessor, Indeo Audio codec generates tables depending on
sampling rate. Previously decoder used pre-generated tables for 22050 Hz
which obviously doesn't work with other frequencies.

Many thanks to Maxim Poliakovsky for providing all needed information
for this.

libavcodec/imc.c

@@ -114,6 +114,62 @@ static const int vlc_offsets[17] = {
 
 static VLC_TYPE vlc_tables[VLC_TABLES_SIZE][2];
 
+static inline double freq2bark(double freq)
+{
+    return 3.5 * atan((freq / 7500.0) * (freq / 7500.0)) + 13.0 * atan(freq * 0.00076);
+}
+
+static av_cold void iac_generate_tabs(IMCContext *q, int sampling_rate)
+{
+    double freqmin[32], freqmid[32], freqmax[32];
+    double scale = sampling_rate / (256.0 * 2.0 * 2.0);
+    double nyquist_freq = sampling_rate * 0.5;
+    double freq, bark, prev_bark = 0, tf, tb;
+    int i, j;
+
+    for (i = 0; i < 32; i++) {
+        freq = (band_tab[i] + band_tab[i + 1] - 1) * scale;
+        bark = freq2bark(freq);
+
+        if (i > 0) {
+            tb = bark - prev_bark;
+            q->weights1[i - 1] = pow(10.0, -1.0 * tb);
+            q->weights2[i - 1] = pow(10.0, -2.7 * tb);
+        }
+        prev_bark = bark;
+
+        freqmid[i] = freq;
+
+        tf = freq;
+        while (tf < nyquist_freq) {
+            tf += 0.5;
+            tb =  freq2bark(tf);
+            if (tb > bark + 0.5)
+                break;
+        }
+        freqmax[i] = tf;
+
+        tf = freq;
+        while (tf > 0.0) {
+            tf -= 0.5;
+            tb =  freq2bark(tf);
+            if (tb <= bark - 0.5)
+                break;
+        }
+        freqmin[i] = tf;
+    }
+
+    for (i = 0; i < 32; i++) {
+        freq = freqmax[i];
+        for (j = 31; j > 0 && freq <= freqmid[j]; j--);
+        q->cyclTab[i] = j + 1;
+
+        freq = freqmin[i];
+        for (j = 0; j < 32 && freq >= freqmid[j]; j++);
+        q->cyclTab2[i] = j - 1;
+    }
+}
+
 static av_cold int imc_decode_init(AVCodecContext *avctx)
 {
     int i, j, ret;
@@ -173,14 +229,14 @@ static av_cold int imc_decode_init(AVCodecContext *avctx)
     }
     q->one_div_log2 = 1 / log(2);
 
-    memcpy(q->cyclTab,  cyclTab,  sizeof(cyclTab));
-    memcpy(q->cyclTab2, cyclTab2, sizeof(cyclTab2));
     if (avctx->codec_id == CODEC_ID_IAC) {
-        q->cyclTab[29]  = 31;
-        q->cyclTab2[31] = 28;
-        memcpy(q->weights1, iac_weights1, sizeof(iac_weights1));
-        memcpy(q->weights2, iac_weights2, sizeof(iac_weights2));
+    }
+
+    if (avctx->codec_id == CODEC_ID_IAC) {
+        iac_generate_tabs(q, avctx->sample_rate);
     } else {
+        memcpy(q->cyclTab,  cyclTab,  sizeof(cyclTab));
+        memcpy(q->cyclTab2, cyclTab2, sizeof(cyclTab2));
         memcpy(q->weights1, imc_weights1, sizeof(imc_weights1));
         memcpy(q->weights2, imc_weights2, sizeof(imc_weights2));
     }

libavcodec/imcdata.h

@@ -44,25 +44,6 @@ static const int8_t cyclTab2[32] = {
  12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22,
 23, 24, 25, 26, 27, 28, 29};
 
-static const float iac_weights1[31] = {
-    0.0538585, 0.0576251, 0.0645592, 0.0494032, 0.0428915, 0.0592188,
-    0.0604145, 0.0673549, 0.0797351, 0.0972911, 0.119376,  0.144777,
-    0.17181,   0.198625,  0.242918,  0.262113,  0.278434,  0.310752,
-    0.319978,  0.328482,  0.354631,  0.380212,  0.388783,  0.400428,
-    0.43096,   0.462397,  0.479469,  0.499329,  0.534526,  0.568631,
-    0.589218
-};
-
-static const float iac_weights2[31] = {
-    0.000375307, 0.000450455, 0.000612191, 0.000297262, 0.000202956,
-    0.000484887, 0.000511777, 0.000686431, 0.00108256,  0.00185267,
-    0.00321869,  0.00541861,  0.00860266,  0.012726,    0.0219151,
-    0.0269104,   0.0316774,   0.0426107,   0.046113,    0.0494974,
-    0.0608692,   0.0734633,   0.0780208,   0.0844921,   0.103034,
-    0.124606,    0.137421,    0.153336,    0.184296,    0.217792,
-    0.239742
-};
-
 static const float imc_weights1[31] = {
     0.119595, 0.123124, 0.129192, 9.97377e-2, 8.1923e-2, 9.61153e-2, 8.77885e-2, 8.61174e-2,
     9.00882e-2, 9.91658e-2, 0.112991, 0.131126, 0.152886, 0.177292, 0.221782, 0.244917, 0.267386,