ref: 173774bbf974d208942ea2aa9d7b2e24d0880804
parent: 2b13401fe6f0059e585b1ea8d1ce2c50cd607212
author: Timothy B. Terriberry <[email protected]>
date: Wed Jan 12 11:34:34 EST 2011
Replace log2_frac in the delta offset calculation. Adds a new bitexact_log2tan() function which is much simpler, and more accurate. The new approximation has an RMS error of 0.0038 bits from the correctly rounded result over the range of inputs we use, compared to an RMS error of 0.013 for the old log2_frac() method. The actual computation of delta is also changed to use FRAC_MUL16, since this allows us to keep the full accuracy of the new method while avoiding 16-bit overflow. The old delta computation actually could overflow 16 bits: it needed 8 for the log2_frac() result, 1 for the sign of the difference, and 8 more for N.
--- a/libcelt/bands.c
+++ b/libcelt/bands.c
@@ -61,6 +61,18 @@
return 1+x2;
}
+static int bitexact_log2tan(int isin,int icos)
+{
+ int lc;
+ int ls;
+ lc=EC_ILOG(icos);
+ ls=EC_ILOG(isin);
+ icos<<=15-lc;
+ isin<<=15-ls;
+ return (ls-lc<<11)
+ +FRAC_MUL16(isin, FRAC_MUL16(isin, -2597) + 7932)
+ -FRAC_MUL16(icos, FRAC_MUL16(icos, -2597) + 7932);
+}
#ifdef FIXED_POINT
/* Compute the amplitude (sqrt energy) in each of the bands */
@@ -760,7 +772,7 @@
iside = bitexact_cos(16384-itheta);
/* This is the mid vs side allocation that minimizes squared error
in that band. */
- delta = (N-1)*(log2_frac(iside,BITRES+2)-log2_frac(imid,BITRES+2))>>2;
+ delta = FRAC_MUL16(N-1<<7,bitexact_log2tan(iside,imid));
}
#ifdef FIXED_POINT