fixlog.c
/* -*- c-basic-offset: 4; indent-tabs-mode: nil -*- */
/* ====================================================================
* Copyright (c) 2005 Carnegie Mellon University. All rights
* reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* This work was supported in part by funding from the Defense Advanced
* Research Projects Agency and the National Science Foundation of the
* United States of America, and the CMU Sphinx Speech Consortium.
*
* THIS SOFTWARE IS PROVIDED BY CARNEGIE MELLON UNIVERSITY ``AS IS'' AND
* ANY EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
* THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL CARNEGIE MELLON UNIVERSITY
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
* ====================================================================
*
* File: fixlog.c
*
* Description: Fast approximate fixed-point logarithms
*
* Author: David Huggins-Daines <dhuggins@cs.cmu.edu>
*
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include "sphinxbase/prim_type.h"
#include "sphinxbase/fixpoint.h"
#include "fe_internal.h"
/* Table of log2(x/64)*(1<<DEFAULT_RADIX) */
/* perl -e 'for (0..63) {my $x = 1 + $_/64; print "\t(uint32)(", log($x)/log(2), "*(1<<DEFAULT_RADIX)),\n"}' */
static uint32 logtable[] = {
(uint32) (0 * (1 << DEFAULT_RADIX)),
(uint32) (0.0223678130284545 * (1 << DEFAULT_RADIX)),
(uint32) (0.0443941193584534 * (1 << DEFAULT_RADIX)),
(uint32) (0.0660891904577724 * (1 << DEFAULT_RADIX)),
(uint32) (0.0874628412503394 * (1 << DEFAULT_RADIX)),
(uint32) (0.108524456778169 * (1 << DEFAULT_RADIX)),
(uint32) (0.129283016944966 * (1 << DEFAULT_RADIX)),
(uint32) (0.149747119504682 * (1 << DEFAULT_RADIX)),
(uint32) (0.169925001442312 * (1 << DEFAULT_RADIX)),
(uint32) (0.189824558880017 * (1 << DEFAULT_RADIX)),
(uint32) (0.20945336562895 * (1 << DEFAULT_RADIX)),
(uint32) (0.228818690495881 * (1 << DEFAULT_RADIX)),
(uint32) (0.247927513443586 * (1 << DEFAULT_RADIX)),
(uint32) (0.266786540694901 * (1 << DEFAULT_RADIX)),
(uint32) (0.285402218862248 * (1 << DEFAULT_RADIX)),
(uint32) (0.303780748177103 * (1 << DEFAULT_RADIX)),
(uint32) (0.321928094887362 * (1 << DEFAULT_RADIX)),
(uint32) (0.339850002884625 * (1 << DEFAULT_RADIX)),
(uint32) (0.357552004618084 * (1 << DEFAULT_RADIX)),
(uint32) (0.375039431346925 * (1 << DEFAULT_RADIX)),
(uint32) (0.39231742277876 * (1 << DEFAULT_RADIX)),
(uint32) (0.409390936137702 * (1 << DEFAULT_RADIX)),
(uint32) (0.426264754702098 * (1 << DEFAULT_RADIX)),
(uint32) (0.442943495848728 * (1 << DEFAULT_RADIX)),
(uint32) (0.459431618637297 * (1 << DEFAULT_RADIX)),
(uint32) (0.475733430966398 * (1 << DEFAULT_RADIX)),
(uint32) (0.491853096329675 * (1 << DEFAULT_RADIX)),
(uint32) (0.507794640198696 * (1 << DEFAULT_RADIX)),
(uint32) (0.523561956057013 * (1 << DEFAULT_RADIX)),
(uint32) (0.539158811108031 * (1 << DEFAULT_RADIX)),
(uint32) (0.554588851677637 * (1 << DEFAULT_RADIX)),
(uint32) (0.569855608330948 * (1 << DEFAULT_RADIX)),
(uint32) (0.584962500721156 * (1 << DEFAULT_RADIX)),
(uint32) (0.599912842187128 * (1 << DEFAULT_RADIX)),
(uint32) (0.614709844115208 * (1 << DEFAULT_RADIX)),
(uint32) (0.62935662007961 * (1 << DEFAULT_RADIX)),
(uint32) (0.643856189774725 * (1 << DEFAULT_RADIX)),
(uint32) (0.658211482751795 * (1 << DEFAULT_RADIX)),
(uint32) (0.672425341971496 * (1 << DEFAULT_RADIX)),
(uint32) (0.686500527183218 * (1 << DEFAULT_RADIX)),
(uint32) (0.700439718141092 * (1 << DEFAULT_RADIX)),
(uint32) (0.714245517666123 * (1 << DEFAULT_RADIX)),
(uint32) (0.727920454563199 * (1 << DEFAULT_RADIX)),
(uint32) (0.741466986401147 * (1 << DEFAULT_RADIX)),
(uint32) (0.754887502163469 * (1 << DEFAULT_RADIX)),
(uint32) (0.768184324776926 * (1 << DEFAULT_RADIX)),
(uint32) (0.78135971352466 * (1 << DEFAULT_RADIX)),
(uint32) (0.794415866350106 * (1 << DEFAULT_RADIX)),
(uint32) (0.807354922057604 * (1 << DEFAULT_RADIX)),
(uint32) (0.820178962415188 * (1 << DEFAULT_RADIX)),
(uint32) (0.832890014164742 * (1 << DEFAULT_RADIX)),
(uint32) (0.845490050944375 * (1 << DEFAULT_RADIX)),
(uint32) (0.857980995127572 * (1 << DEFAULT_RADIX)),
(uint32) (0.870364719583405 * (1 << DEFAULT_RADIX)),
(uint32) (0.882643049361841 * (1 << DEFAULT_RADIX)),
(uint32) (0.894817763307944 * (1 << DEFAULT_RADIX)),
(uint32) (0.906890595608518 * (1 << DEFAULT_RADIX)),
(uint32) (0.918863237274595 * (1 << DEFAULT_RADIX)),
(uint32) (0.930737337562886 * (1 << DEFAULT_RADIX)),
(uint32) (0.94251450533924 * (1 << DEFAULT_RADIX)),
(uint32) (0.954196310386875 * (1 << DEFAULT_RADIX)),
(uint32) (0.965784284662087 * (1 << DEFAULT_RADIX)),
(uint32) (0.977279923499917 * (1 << DEFAULT_RADIX)),
(uint32) (0.988684686772166 * (1 << DEFAULT_RADIX)),
};
int32
fixlog2(uint32 x)
{
uint32 y;
if (x == 0)
return MIN_FIXLOG2;
/* Get the exponent. */
#if defined(__GNUC__) && defined(__i386__)
__asm__("bsrl %1, %0\n": "=r"(y): "g"(x):"cc");
x <<= (31 - y);
#elif defined(__ppc__)
__asm__("cntlzw %0, %1\n": "=r"(y):"r"(x));
x <<= y;
y = 31 - y;
#elif ((defined(__ARM_ARCH_5__) || defined(__ARM_ARCH_5T__) || \
defined(__ARM_ARCH_5TE__)) && !defined(__thumb__))
__asm__("clz %0, %1\n": "=r"(y):"r"(x));
x <<= y;
y = 31 - y;
#else
for (y = 31; y > 0; --y) {
if (x & 0x80000000)
break;
x <<= 1;
}
#endif
y <<= DEFAULT_RADIX;
/* Do a table lookup for the MSB of the mantissa. */
x = (x >> 25) & 0x3f;
return y + logtable[x];
}
int
fixlog(uint32 x)
{
int32 y;
if (x == 0)
return MIN_FIXLOG;
y = fixlog2(x);
return FIXMUL(y, FIXLN_2);
}
prim_type.h
Basic type definitions used in Sphinx.