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ref: b5d123a5f540f47e0227a31758654f0518bae9b6
parent: 13bffd288d535766375a2f79fe0ead2d000a0873
author: Timothy B. Terriberry <[email protected]>
date: Sun Jan 30 17:18:12 EST 2011

More band caps updates.

Use measured cross-entropy to estimate the real cost of coding
 qtheta given the allocated qb parameter, instead of the entropy of
 the PDF.
This is generally much lower, and reduces waste at high rates.
This patch also removes some intermediate rounding from this
 computation.

--- a/libcelt/rate.c
+++ b/libcelt/rate.c
@@ -159,7 +159,7 @@
             N0 = m->eBands[j+1]-m->eBands[j];
             /* N=1 bands only have a sign bit and fine bits. */
             if (N0<<i == 1)
-              max_bits = C*(1+MAX_FINE_BITS)<<BITRES;
+               max_bits = C*(1+MAX_FINE_BITS)<<BITRES;
             else
             {
                const unsigned char *pcache;
@@ -200,14 +200,14 @@
                       total/N */
                   offset = (m->logN[j]+(LM0+k<<BITRES)>>1)-QTHETA_OFFSET;
                   /* The number of qtheta bits we'll allocate if the remainder
-                      is to be max_bits. */
-                  num=(celt_int32)((2*N-1)*offset+max_bits)<<9;
-                  den=((celt_int32)(2*N-1)<<9)-495;
-                  qb = IMIN((num+(den>>1))/den, 8<<BITRES);
+                      is to be max_bits.
+                     The average measured cost for theta is 0.89701 times qb,
+                      approximated here as 459/512. */
+                  num=459*(celt_int32)((2*N-1)*offset+max_bits);
+                  den=((celt_int32)(2*N-1)<<9)-459;
+                  qb = IMIN((num+(den>>1))/den, 57);
                   celt_assert(qb >= 0);
-                  /* The average cost for theta when qn==256 is
-                      7.73246 bits for the triangular PDF. */
-                  max_bits += qb*495+256>>9;
+                  max_bits += qb;
                   N <<= 1;
                }
                /* Add in the cost of a stereo split, if necessary. */
@@ -216,13 +216,13 @@
                   max_bits <<= 1;
                   offset = (m->logN[j]+(i<<BITRES)>>1)-QTHETA_OFFSET_STEREO;
                   ndof = 2*N-1-(N==2);
-                  num = (celt_int32)(max_bits+ndof*offset)<<7;
-                  den = ((celt_int32)ndof<<7)-(N==2?128:125);
-                  qb = IMIN((num+(den>>1))/den, 8<<BITRES);
+                  /* The average measured cost for theta with the step PDF is
+                      0.95164 times qb, approximated here as 487/512. */
+                  num = (N==2?512:487)*(celt_int32)(max_bits+ndof*offset);
+                  den = ((celt_int32)ndof<<9)-(N==2?512:487);
+                  qb = IMIN((num+(den>>1))/den, (N==2?64:61));
                   celt_assert(qb >= 0);
-                  /* The average cost for theta when qn==256, N>2 is
-                      7.8174 bits for the step PDF. */
-                  max_bits += N==2 ? qb : (qb*125+64>>7);
+                  max_bits += qb;
                }
                /* Add the fine bits we'll use. */
                /* Compensate for the extra DoF in stereo */
@@ -248,7 +248,7 @@
    }
 }
 
-#endif /* !CUSTOM_MODES */
+#endif /* CUSTOM_MODES */
 
 
 #define ALLOC_STEPS 6
--- a/libcelt/static_modes_fixed.c
+++ b/libcelt/static_modes_fixed.c
@@ -22,7 +22,7 @@
 static const unsigned char cache_bits50[392] = {
 40, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 40, 15, 23, 28, 31, 34, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 47, 49, 50, 51, 52, 53, 54, 55, 55, 57, 58, 59, 60, 61, 62, 63, 63, 65, 66, 67, 68, 69, 70, 71, 71, 40, 20, 33, 41, 48, 53, 57, 61, 64, 66, 69, 71, 73, 75, 76, 78, 80, 82, 85, 87, 89, 91, 92, 94, 96, 98, 101, 103, 105, 107, 108, 110, 112, 114, 117, 119, 121, 123, 124, 126, 128, 40, 23, 39, 51, 60, 67, 73, 79, 83, 87, 91, 94, 97, 100, 102, 105, 107, 111, 115, 118, 121, 124, 126, 129, 131, 135, 139, 142, 145, 148, 150, 153, 155, 159, 163, 166, 169, 172, 174, 177, 179, 35, 28, 49, 65, 78, 89, 99, 107, 114, 120, 126, 132, 136, 141, 145, 149, 153, 159, 165, 171, 176, 180, 185, 189, 192, 199, 205, 211, 216, 220, 225, 229, 232, 239, 245, 251, 21, 33, 58, 79, 97, 112, 125, 137, 148, 157, 166, 174, 182, 189, 195, 201, 207, 217, 227, 235, 243, 251, 17, 35, 63, 86, 106, 123, 139, 152, 165, 177, 187, 197, 206, 214, 222, 230, 237, 250, 25, 31, 55, 75, 91, 105, 117, 128, 138, 146, 154, 161, 168, 174, 180, 185, 190, 200, 208, 215, 222, 229, 235, 240, 245, 255, 16, 36, 65, 89, 110, 128, 144, 159, 173, 185, 196, 207, 217, 226, 234, 242, 250, 11, 41, 74, 103, 128, 151, 172, 191, 209, 225, 241, 255, 9, 43, 79, 110, 138, 163, 186, 207, 227, 246, 12, 39, 71, 99, 123, 144, 164, 182, 198, 214, 228, 241, 253, 9, 44, 81, 113, 142, 168, 192, 214, 235, 255, 7, 49, 90, 127, 160, 191, 220, 247, 6, 51, 95, 134, 170, 203, 234, 7, 47, 87, 123, 155, 184, 212, 237, 6, 52, 97, 137, 174, 208, 240, 5, 57, 106, 151, 192, 231, 5, 59, 111, 158, 202, 243, 5, 55, 103, 147, 187, 224, 5, 60, 113, 161, 206, 248, 4, 65, 122, 175, 224, 4, 67, 127, 182, 234, };
 static const unsigned char cache_caps50[168] = {
-18, 18, 18, 18, 18, 18, 18, 18, 28, 28, 28, 28, 55, 55, 55, 92, 92, 117, 149, 142, 140, 18, 18, 18, 18, 18, 18, 18, 18, 38, 38, 38, 38, 62, 62, 62, 99, 99, 125, 157, 147, 145, 14, 14, 14, 14, 14, 14, 14, 14, 27, 27, 27, 27, 58, 58, 58, 94, 94, 120, 153, 145, 142, 19, 19, 19, 19, 19, 19, 19, 19, 31, 31, 31, 31, 62, 62, 62, 98, 98, 124, 157, 148, 144, 13, 13, 13, 13, 13, 13, 13, 13, 29, 29, 29, 29, 60, 60, 60, 95, 95, 120, 154, 147, 143, 15, 15, 15, 15, 15, 15, 15, 15, 31, 31, 31, 31, 62, 62, 62, 97, 97, 122, 156, 148, 145, 14, 14, 14, 14, 14, 14, 14, 14, 30, 30, 30, 30, 60, 60, 60, 95, 95, 121, 154, 147, 144, 15, 15, 15, 15, 15, 15, 15, 15, 31, 31, 31, 31, 61, 61, 61, 96, 96, 122, 155, 148, 145, };
+18, 18, 18, 18, 18, 18, 18, 18, 28, 28, 28, 28, 55, 55, 55, 90, 90, 116, 148, 141, 139, 18, 18, 18, 18, 18, 18, 18, 18, 38, 38, 38, 38, 62, 62, 62, 98, 98, 123, 156, 146, 144, 14, 14, 14, 14, 14, 14, 14, 14, 27, 27, 27, 27, 58, 58, 58, 92, 92, 118, 151, 144, 141, 19, 19, 19, 19, 19, 19, 19, 19, 31, 31, 31, 31, 61, 61, 61, 96, 96, 122, 155, 147, 143, 13, 13, 13, 13, 13, 13, 13, 13, 29, 29, 29, 29, 59, 59, 59, 92, 92, 118, 152, 145, 142, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 61, 61, 61, 94, 94, 120, 153, 147, 143, 14, 14, 14, 14, 14, 14, 14, 14, 29, 29, 29, 29, 59, 59, 59, 93, 93, 118, 152, 145, 142, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 60, 60, 60, 94, 94, 119, 153, 146, 143, };
 #endif
 
 #ifndef FFT_TWIDDLES48000_960
--- a/libcelt/static_modes_float.c
+++ b/libcelt/static_modes_float.c
@@ -22,7 +22,7 @@
 static const unsigned char cache_bits50[392] = {
 40, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 40, 15, 23, 28, 31, 34, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 47, 49, 50, 51, 52, 53, 54, 55, 55, 57, 58, 59, 60, 61, 62, 63, 63, 65, 66, 67, 68, 69, 70, 71, 71, 40, 20, 33, 41, 48, 53, 57, 61, 64, 66, 69, 71, 73, 75, 76, 78, 80, 82, 85, 87, 89, 91, 92, 94, 96, 98, 101, 103, 105, 107, 108, 110, 112, 114, 117, 119, 121, 123, 124, 126, 128, 40, 23, 39, 51, 60, 67, 73, 79, 83, 87, 91, 94, 97, 100, 102, 105, 107, 111, 115, 118, 121, 124, 126, 129, 131, 135, 139, 142, 145, 148, 150, 153, 155, 159, 163, 166, 169, 172, 174, 177, 179, 35, 28, 49, 65, 78, 89, 99, 107, 114, 120, 126, 132, 136, 141, 145, 149, 153, 159, 165, 171, 176, 180, 185, 189, 192, 199, 205, 211, 216, 220, 225, 229, 232, 239, 245, 251, 21, 33, 58, 79, 97, 112, 125, 137, 148, 157, 166, 174, 182, 189, 195, 201, 207, 217, 227, 235, 243, 251, 17, 35, 63, 86, 106, 123, 139, 152, 165, 177, 187, 197, 206, 214, 222, 230, 237, 250, 25, 31, 55, 75, 91, 105, 117, 128, 138, 146, 154, 161, 168, 174, 180, 185, 190, 200, 208, 215, 222, 229, 235, 240, 245, 255, 16, 36, 65, 89, 110, 128, 144, 159, 173, 185, 196, 207, 217, 226, 234, 242, 250, 11, 41, 74, 103, 128, 151, 172, 191, 209, 225, 241, 255, 9, 43, 79, 110, 138, 163, 186, 207, 227, 246, 12, 39, 71, 99, 123, 144, 164, 182, 198, 214, 228, 241, 253, 9, 44, 81, 113, 142, 168, 192, 214, 235, 255, 7, 49, 90, 127, 160, 191, 220, 247, 6, 51, 95, 134, 170, 203, 234, 7, 47, 87, 123, 155, 184, 212, 237, 6, 52, 97, 137, 174, 208, 240, 5, 57, 106, 151, 192, 231, 5, 59, 111, 158, 202, 243, 5, 55, 103, 147, 187, 224, 5, 60, 113, 161, 206, 248, 4, 65, 122, 175, 224, 4, 67, 127, 182, 234, };
 static const unsigned char cache_caps50[168] = {
-18, 18, 18, 18, 18, 18, 18, 18, 28, 28, 28, 28, 55, 55, 55, 92, 92, 117, 149, 142, 140, 18, 18, 18, 18, 18, 18, 18, 18, 38, 38, 38, 38, 62, 62, 62, 99, 99, 125, 157, 147, 145, 14, 14, 14, 14, 14, 14, 14, 14, 27, 27, 27, 27, 58, 58, 58, 94, 94, 120, 153, 145, 142, 19, 19, 19, 19, 19, 19, 19, 19, 31, 31, 31, 31, 62, 62, 62, 98, 98, 124, 157, 148, 144, 13, 13, 13, 13, 13, 13, 13, 13, 29, 29, 29, 29, 60, 60, 60, 95, 95, 120, 154, 147, 143, 15, 15, 15, 15, 15, 15, 15, 15, 31, 31, 31, 31, 62, 62, 62, 97, 97, 122, 156, 148, 145, 14, 14, 14, 14, 14, 14, 14, 14, 30, 30, 30, 30, 60, 60, 60, 95, 95, 121, 154, 147, 144, 15, 15, 15, 15, 15, 15, 15, 15, 31, 31, 31, 31, 61, 61, 61, 96, 96, 122, 155, 148, 145, };
+18, 18, 18, 18, 18, 18, 18, 18, 28, 28, 28, 28, 55, 55, 55, 90, 90, 116, 148, 141, 139, 18, 18, 18, 18, 18, 18, 18, 18, 38, 38, 38, 38, 62, 62, 62, 98, 98, 123, 156, 146, 144, 14, 14, 14, 14, 14, 14, 14, 14, 27, 27, 27, 27, 58, 58, 58, 92, 92, 118, 151, 144, 141, 19, 19, 19, 19, 19, 19, 19, 19, 31, 31, 31, 31, 61, 61, 61, 96, 96, 122, 155, 147, 143, 13, 13, 13, 13, 13, 13, 13, 13, 29, 29, 29, 29, 59, 59, 59, 92, 92, 118, 152, 145, 142, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 61, 61, 61, 94, 94, 120, 153, 147, 143, 14, 14, 14, 14, 14, 14, 14, 14, 29, 29, 29, 29, 59, 59, 59, 93, 93, 118, 152, 145, 142, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 60, 60, 60, 94, 94, 119, 153, 146, 143, };
 #endif
 
 #ifndef FFT_TWIDDLES48000_960