mirror of
https://github.com/Rockbox/rockbox.git
synced 2025-10-13 18:17:39 -04:00
Take 2 at 'Consolidate all fixed point math routines in one library' (FS#10400) by Jeffrey Goode
git-svn-id: svn://svn.rockbox.org/rockbox/trunk@21664 a1c6a512-1295-4272-9138-f99709370657
This commit is contained in:
Maurus Cuelenaere
parent
427bf0b893
commit
802743a061
22 changed files with 754 additions and 755 deletions
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@ -125,6 +125,7 @@ recorder/recording.c
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#if INPUT_SRC_CAPS != 0
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audio_path.c
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#endif /* INPUT_SRC_CAPS != 0 */
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fixedpoint.c
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pcmbuf.c
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playback.c
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codecs.c
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@ -21,6 +21,7 @@
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#include "codeclib.h"
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#include "inttypes.h"
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#include "math.h"
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#include "lib/fixedpoint.h"
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CODEC_HEADER
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@ -41,124 +42,6 @@ const long cutoff = 500;
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static int16_t samples[WAV_CHUNK_SIZE] IBSS_ATTR;
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/* fixed point stuff from apps/plugins/lib/fixedpoint.c */
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/* Inverse gain of circular cordic rotation in s0.31 format. */
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static const long cordic_circular_gain = 0xb2458939; /* 0.607252929 */
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/* Table of values of atan(2^-i) in 0.32 format fractions of pi where pi = 0xffffffff / 2 */
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static const unsigned long atan_table[] = {
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0x1fffffff, /* +0.785398163 (or pi/4) */
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0x12e4051d, /* +0.463647609 */
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0x09fb385b, /* +0.244978663 */
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0x051111d4, /* +0.124354995 */
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0x028b0d43, /* +0.062418810 */
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0x0145d7e1, /* +0.031239833 */
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0x00a2f61e, /* +0.015623729 */
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0x00517c55, /* +0.007812341 */
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0x0028be53, /* +0.003906230 */
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0x00145f2e, /* +0.001953123 */
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0x000a2f98, /* +0.000976562 */
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0x000517cc, /* +0.000488281 */
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0x00028be6, /* +0.000244141 */
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0x000145f3, /* +0.000122070 */
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0x0000a2f9, /* +0.000061035 */
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0x0000517c, /* +0.000030518 */
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0x000028be, /* +0.000015259 */
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0x0000145f, /* +0.000007629 */
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0x00000a2f, /* +0.000003815 */
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0x00000517, /* +0.000001907 */
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0x0000028b, /* +0.000000954 */
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0x00000145, /* +0.000000477 */
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0x000000a2, /* +0.000000238 */
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0x00000051, /* +0.000000119 */
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0x00000028, /* +0.000000060 */
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0x00000014, /* +0.000000030 */
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0x0000000a, /* +0.000000015 */
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0x00000005, /* +0.000000007 */
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0x00000002, /* +0.000000004 */
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0x00000001, /* +0.000000002 */
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0x00000000, /* +0.000000001 */
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0x00000000, /* +0.000000000 */
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};
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/**
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* Implements sin and cos using CORDIC rotation.
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*
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* @param phase has range from 0 to 0xffffffff, representing 0 and
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* 2*pi respectively.
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* @param cos return address for cos
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* @return sin of phase, value is a signed value from LONG_MIN to LONG_MAX,
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* representing -1 and 1 respectively.
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*/
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static long fsincos(unsigned long phase, long *cos)
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{
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int32_t x, x1, y, y1;
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unsigned long z, z1;
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int i;
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/* Setup initial vector */
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x = cordic_circular_gain;
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y = 0;
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z = phase;
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/* The phase has to be somewhere between 0..pi for this to work right */
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if (z < 0xffffffff / 4) {
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/* z in first quadrant, z += pi/2 to correct */
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x = -x;
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z += 0xffffffff / 4;
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} else if (z < 3 * (0xffffffff / 4)) {
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/* z in third quadrant, z -= pi/2 to correct */
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z -= 0xffffffff / 4;
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} else {
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/* z in fourth quadrant, z -= 3pi/2 to correct */
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x = -x;
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z -= 3 * (0xffffffff / 4);
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}
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/* Each iteration adds roughly 1-bit of extra precision */
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for (i = 0; i < 31; i++) {
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x1 = x >> i;
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y1 = y >> i;
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z1 = atan_table[i];
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/* Decided which direction to rotate vector. Pivot point is pi/2 */
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if (z >= 0xffffffff / 4) {
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x -= y1;
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y += x1;
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z -= z1;
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} else {
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x += y1;
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y -= x1;
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z += z1;
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}
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}
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if (cos)
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*cos = x;
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return y;
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}
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/**
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* Fixed point square root via Newton-Raphson.
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* @param a square root argument.
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* @param fracbits specifies number of fractional bits in argument.
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* @return Square root of argument in same fixed point format as input.
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*/
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static long fsqrt(long a, unsigned int fracbits)
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{
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long b = a/2 + (1 << fracbits); /* initial approximation */
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unsigned n;
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const unsigned iterations = 8; /* bumped up from 4 as it wasn't
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nearly enough for 28 fractional bits */
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for (n = 0; n < iterations; ++n)
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b = (b + (long)(((long long)(a) << fracbits)/b))/2;
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return b;
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}
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/* this is the codec entry point */
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enum codec_status codec_main(void)
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{
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@ -238,7 +121,7 @@ next_track:
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int64_t c;
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int64_t d;
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fsincos((unsigned long)phasemultiple,&z);
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fp_sincos((unsigned long)phasemultiple,&z);
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a = (M_SQRT2*big28)-(z*big28/LONG_MAX);
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@ -247,7 +130,7 @@ next_track:
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* which is sufficient here, but this is the only reason why I don't
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* use 32 fractional bits everywhere.
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*/
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d = fsqrt((a+b)*(a-b)/big28,28);
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d = fp_sqrt((a+b)*(a-b)/big28,28);
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c = (a-d)*big28/b;
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coef1 = (c*8192) >> 28;
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@ -1,6 +1,6 @@
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#if CONFIG_CODEC == SWCODEC /* software codec platforms */
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codeclib.c
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fixedpoint.c
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mdct2.c
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#ifdef CPU_ARM
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1
apps/codecs/lib/fixedpoint.c
Normal file
1
apps/codecs/lib/fixedpoint.c
Normal file
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@ -0,0 +1 @@
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#include "../../fixedpoint.c"
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49
apps/codecs/lib/fixedpoint.h
Normal file
49
apps/codecs/lib/fixedpoint.h
Normal file
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@ -0,0 +1,49 @@
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/***************************************************************************
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* __________ __ ___.
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* Open \______ \ ____ ____ | | _\_ |__ _______ ___
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* Source | _// _ \_/ ___\| |/ /| __ \ / _ \ \/ /
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* Jukebox | | ( <_> ) \___| < | \_\ ( <_> > < <
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* Firmware |____|_ /\____/ \___ >__|_ \|___ /\____/__/\_ \
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* \/ \/ \/ \/ \/
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* $Id: fixedpoint.h -1 $
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*
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* Copyright (C) 2006 Jens Arnold
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*
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* Fixed point library for plugins
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
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* KIND, either express or implied.
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*
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****************************************************************************/
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/** CODECS - FIXED POINT MATH ROUTINES - USAGE
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*
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* - x and y arguments are fixed point integers
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* - fracbits is the number of fractional bits in the argument(s)
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* - functions return long fixed point integers with the specified number
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* of fractional bits unless otherwise specified
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*
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* Calculate sin and cos of an angle:
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* fp_sincos(phase, *cos)
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* where phase is a 32 bit unsigned integer with 0 representing 0
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* and 0xFFFFFFFF representing 2*pi, and *cos is the address to
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* a long signed integer. Value returned is a long signed integer
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* from LONG_MIN to LONG_MAX, representing -1 to 1 respectively.
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* That is, value is a fixed point integer with 31 fractional bits.
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*
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* Take square root of a fixed point number:
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* fp_sqrt(x, fracbits)
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*
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*/
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#ifndef _FIXEDPOINT_H_CODECS
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#define _FIXEDPOINT_H_CODECS
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long fp_sincos(unsigned long phase, long *cos);
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long fp_sqrt(long a, unsigned int fracbits);
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#endif
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@ -26,6 +26,7 @@
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/* DSP Based on Brad Martin's OpenSPC DSP emulator */
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/* tag reading from sexyspc by John Brawn (John_Brawn@yahoo.com) and others */
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#include "codeclib.h"
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#include "../fracmul.h"
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#include "libspc/spc_codec.h"
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#include "libspc/spc_profiler.h"
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@ -33,6 +33,8 @@
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#include "misc.h"
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#include "tdspeed.h"
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#include "buffer.h"
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#include "fixedpoint.h"
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#include "fracmul.h"
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/* 16-bit samples are scaled based on these constants. The shift should be
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* no more than 15.
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@ -841,7 +843,7 @@ void dsp_set_crossfeed_cross_params(long lf_gain, long hf_gain, long cutoff)
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* crossfeed shelf filter and should be removed if crossfeed settings are
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* ever made incompatible for any other good reason.
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*/
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cutoff = DIV64(cutoff, get_replaygain_int(hf_gain*5), 24);
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cutoff = fp_div(cutoff, get_replaygain_int(hf_gain*5), 24);
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filter_shelf_coefs(cutoff, hf_gain, false, c);
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/* Scale coefs by LF gain and shift them to s0.31 format. We have no gains
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* over 1 and can do this safely
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80
apps/dsp.h
80
apps/dsp.h
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@ -64,86 +64,6 @@ enum {
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DSP_CALLBACK_SET_STEREO_WIDTH
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};
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/* A bunch of fixed point assembler helper macros */
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#if defined(CPU_COLDFIRE)
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/* These macros use the Coldfire EMAC extension and need the MACSR flags set
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* to fractional mode with no rounding.
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*/
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/* Multiply two S.31 fractional integers and return the sign bit and the
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* 31 most significant bits of the result.
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*/
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#define FRACMUL(x, y) \
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({ \
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long t; \
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asm ("mac.l %[a], %[b], %%acc0\n\t" \
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"movclr.l %%acc0, %[t]\n\t" \
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: [t] "=r" (t) : [a] "r" (x), [b] "r" (y)); \
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t; \
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})
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/* Multiply two S.31 fractional integers, and return the 32 most significant
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* bits after a shift left by the constant z. NOTE: Only works for shifts of
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* 1 to 8 on Coldfire!
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*/
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#define FRACMUL_SHL(x, y, z) \
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({ \
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long t, t2; \
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asm ("mac.l %[a], %[b], %%acc0\n\t" \
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"moveq.l %[d], %[t]\n\t" \
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"move.l %%accext01, %[t2]\n\t" \
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"and.l %[mask], %[t2]\n\t" \
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"lsr.l %[t], %[t2]\n\t" \
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"movclr.l %%acc0, %[t]\n\t" \
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"asl.l %[c], %[t]\n\t" \
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"or.l %[t2], %[t]\n\t" \
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: [t] "=&d" (t), [t2] "=&d" (t2) \
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: [a] "r" (x), [b] "r" (y), [mask] "d" (0xff), \
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[c] "i" ((z)), [d] "i" (8 - (z))); \
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t; \
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})
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#elif defined(CPU_ARM)
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/* Multiply two S.31 fractional integers and return the sign bit and the
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* 31 most significant bits of the result.
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*/
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#define FRACMUL(x, y) \
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({ \
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long t, t2; \
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asm ("smull %[t], %[t2], %[a], %[b]\n\t" \
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"mov %[t2], %[t2], asl #1\n\t" \
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"orr %[t], %[t2], %[t], lsr #31\n\t" \
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: [t] "=&r" (t), [t2] "=&r" (t2) \
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: [a] "r" (x), [b] "r" (y)); \
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t; \
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})
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/* Multiply two S.31 fractional integers, and return the 32 most significant
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* bits after a shift left by the constant z.
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*/
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#define FRACMUL_SHL(x, y, z) \
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({ \
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long t, t2; \
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asm ("smull %[t], %[t2], %[a], %[b]\n\t" \
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"mov %[t2], %[t2], asl %[c]\n\t" \
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"orr %[t], %[t2], %[t], lsr %[d]\n\t" \
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: [t] "=&r" (t), [t2] "=&r" (t2) \
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: [a] "r" (x), [b] "r" (y), \
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[c] "M" ((z) + 1), [d] "M" (31 - (z))); \
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t; \
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})
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#else
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#define FRACMUL(x, y) (long) (((((long long) (x)) * ((long long) (y))) >> 31))
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#define FRACMUL_SHL(x, y, z) \
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((long)(((((long long) (x)) * ((long long) (y))) >> (31 - (z)))))
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#endif
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#define DIV64(x, y, z) (long)(((long long)(x) << (z))/(y))
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struct dsp_config;
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int dsp_process(struct dsp_config *dsp, char *dest,
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120
apps/eq.c
120
apps/eq.c
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@ -21,105 +21,11 @@
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#include <inttypes.h>
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#include "config.h"
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#include "dsp.h"
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#include "fixedpoint.h"
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#include "fracmul.h"
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#include "eq.h"
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#include "replaygain.h"
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/* Inverse gain of circular cordic rotation in s0.31 format. */
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static const long cordic_circular_gain = 0xb2458939; /* 0.607252929 */
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/* Table of values of atan(2^-i) in 0.32 format fractions of pi where pi = 0xffffffff / 2 */
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static const unsigned long atan_table[] = {
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0x1fffffff, /* +0.785398163 (or pi/4) */
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0x12e4051d, /* +0.463647609 */
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0x09fb385b, /* +0.244978663 */
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0x051111d4, /* +0.124354995 */
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0x028b0d43, /* +0.062418810 */
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0x0145d7e1, /* +0.031239833 */
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0x00a2f61e, /* +0.015623729 */
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0x00517c55, /* +0.007812341 */
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0x0028be53, /* +0.003906230 */
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0x00145f2e, /* +0.001953123 */
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0x000a2f98, /* +0.000976562 */
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0x000517cc, /* +0.000488281 */
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0x00028be6, /* +0.000244141 */
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0x000145f3, /* +0.000122070 */
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0x0000a2f9, /* +0.000061035 */
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0x0000517c, /* +0.000030518 */
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0x000028be, /* +0.000015259 */
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0x0000145f, /* +0.000007629 */
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0x00000a2f, /* +0.000003815 */
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0x00000517, /* +0.000001907 */
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0x0000028b, /* +0.000000954 */
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0x00000145, /* +0.000000477 */
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0x000000a2, /* +0.000000238 */
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0x00000051, /* +0.000000119 */
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0x00000028, /* +0.000000060 */
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0x00000014, /* +0.000000030 */
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0x0000000a, /* +0.000000015 */
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0x00000005, /* +0.000000007 */
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0x00000002, /* +0.000000004 */
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0x00000001, /* +0.000000002 */
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0x00000000, /* +0.000000001 */
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0x00000000, /* +0.000000000 */
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};
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/**
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* Implements sin and cos using CORDIC rotation.
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*
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* @param phase has range from 0 to 0xffffffff, representing 0 and
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* 2*pi respectively.
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* @param cos return address for cos
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* @return sin of phase, value is a signed value from LONG_MIN to LONG_MAX,
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* representing -1 and 1 respectively.
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*/
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static long fsincos(unsigned long phase, long *cos) {
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int32_t x, x1, y, y1;
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unsigned long z, z1;
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int i;
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/* Setup initial vector */
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x = cordic_circular_gain;
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y = 0;
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z = phase;
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/* The phase has to be somewhere between 0..pi for this to work right */
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if (z < 0xffffffff / 4) {
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/* z in first quadrant, z += pi/2 to correct */
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x = -x;
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z += 0xffffffff / 4;
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} else if (z < 3 * (0xffffffff / 4)) {
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/* z in third quadrant, z -= pi/2 to correct */
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z -= 0xffffffff / 4;
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} else {
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/* z in fourth quadrant, z -= 3pi/2 to correct */
|
||||
x = -x;
|
||||
z -= 3 * (0xffffffff / 4);
|
||||
}
|
||||
|
||||
/* Each iteration adds roughly 1-bit of extra precision */
|
||||
for (i = 0; i < 31; i++) {
|
||||
x1 = x >> i;
|
||||
y1 = y >> i;
|
||||
z1 = atan_table[i];
|
||||
|
||||
/* Decided which direction to rotate vector. Pivot point is pi/2 */
|
||||
if (z >= 0xffffffff / 4) {
|
||||
x -= y1;
|
||||
y += x1;
|
||||
z -= z1;
|
||||
} else {
|
||||
x += y1;
|
||||
y -= x1;
|
||||
z += z1;
|
||||
}
|
||||
}
|
||||
|
||||
*cos = x;
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculate first order shelving filter. Filter is not directly usable by the
|
||||
* eq_filter() function.
|
||||
|
|
@ -135,16 +41,16 @@ void filter_shelf_coefs(unsigned long cutoff, long A, bool low, int32_t *c)
|
|||
int32_t b0, b1, a0, a1; /* s3.28 */
|
||||
const long g = get_replaygain_int(A*5) << 4; /* 10^(db/40), s3.28 */
|
||||
|
||||
sin = fsincos(cutoff/2, &cos);
|
||||
sin = fp_sincos(cutoff/2, &cos);
|
||||
if (low) {
|
||||
const int32_t sin_div_g = DIV64(sin, g, 25);
|
||||
const int32_t sin_div_g = fp_div(sin, g, 25);
|
||||
cos >>= 3;
|
||||
b0 = FRACMUL(sin, g) + cos; /* 0.25 .. 4.10 */
|
||||
b1 = FRACMUL(sin, g) - cos; /* -1 .. 3.98 */
|
||||
a0 = sin_div_g + cos; /* 0.25 .. 4.10 */
|
||||
a1 = sin_div_g - cos; /* -1 .. 3.98 */
|
||||
} else {
|
||||
const int32_t cos_div_g = DIV64(cos, g, 25);
|
||||
const int32_t cos_div_g = fp_div(cos, g, 25);
|
||||
sin >>= 3;
|
||||
b0 = sin + FRACMUL(cos, g); /* 0.25 .. 4.10 */
|
||||
b1 = sin - FRACMUL(cos, g); /* -3.98 .. 1 */
|
||||
|
|
@ -152,7 +58,7 @@ void filter_shelf_coefs(unsigned long cutoff, long A, bool low, int32_t *c)
|
|||
a1 = sin - cos_div_g; /* -3.98 .. 1 */
|
||||
}
|
||||
|
||||
const int32_t rcp_a0 = DIV64(1, a0, 57); /* 0.24 .. 3.98, s2.29 */
|
||||
const int32_t rcp_a0 = fp_div(1, a0, 57); /* 0.24 .. 3.98, s2.29 */
|
||||
*c++ = FRACMUL_SHL(b0, rcp_a0, 1); /* 0.063 .. 15.85 */
|
||||
*c++ = FRACMUL_SHL(b1, rcp_a0, 1); /* -15.85 .. 15.85 */
|
||||
*c++ = -FRACMUL_SHL(a1, rcp_a0, 1); /* -1 .. 1 */
|
||||
|
|
@ -220,10 +126,10 @@ void eq_pk_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
long cs;
|
||||
const long one = 1 << 28; /* s3.28 */
|
||||
const long A = get_replaygain_int(db*5) << 5; /* 10^(db/40), s2.29 */
|
||||
const long alpha = fsincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
const long alpha = fp_sincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
int32_t a0, a1, a2; /* these are all s3.28 format */
|
||||
int32_t b0, b1, b2;
|
||||
const long alphadivA = DIV64(alpha, A, 27);
|
||||
const long alphadivA = fp_div(alpha, A, 27);
|
||||
|
||||
/* possible numerical ranges are in comments by each coef */
|
||||
b0 = one + FRACMUL(alpha, A); /* [1 .. 5] */
|
||||
|
|
@ -233,7 +139,7 @@ void eq_pk_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
a2 = one - alphadivA; /* [-3 .. 1] */
|
||||
|
||||
/* range of this is roughly [0.2 .. 1], but we'll never hit 1 completely */
|
||||
const long rcp_a0 = DIV64(1, a0, 59); /* s0.31 */
|
||||
const long rcp_a0 = fp_div(1, a0, 59); /* s0.31 */
|
||||
*c++ = FRACMUL(b0, rcp_a0); /* [0.25 .. 4] */
|
||||
*c++ = FRACMUL(b1, rcp_a0); /* [-2 .. 2] */
|
||||
*c++ = FRACMUL(b2, rcp_a0); /* [-2.4 .. 1] */
|
||||
|
|
@ -251,7 +157,7 @@ void eq_ls_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
const long one = 1 << 25; /* s6.25 */
|
||||
const long sqrtA = get_replaygain_int(db*5/2) << 2; /* 10^(db/80), s5.26 */
|
||||
const long A = FRACMUL_SHL(sqrtA, sqrtA, 8); /* s2.29 */
|
||||
const long alpha = fsincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
const long alpha = fp_sincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
const long ap1 = (A >> 4) + one;
|
||||
const long am1 = (A >> 4) - one;
|
||||
const long twosqrtalpha = 2*FRACMUL(sqrtA, alpha);
|
||||
|
|
@ -272,7 +178,7 @@ void eq_ls_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
a2 = ap1 + FRACMUL(am1, cs) - twosqrtalpha;
|
||||
|
||||
/* [0.1 .. 1.99] */
|
||||
const long rcp_a0 = DIV64(1, a0, 55); /* s1.30 */
|
||||
const long rcp_a0 = fp_div(1, a0, 55); /* s1.30 */
|
||||
*c++ = FRACMUL_SHL(b0, rcp_a0, 2); /* [0.06 .. 15.9] */
|
||||
*c++ = FRACMUL_SHL(b1, rcp_a0, 2); /* [-2 .. 31.7] */
|
||||
*c++ = FRACMUL_SHL(b2, rcp_a0, 2); /* [0 .. 15.9] */
|
||||
|
|
@ -290,7 +196,7 @@ void eq_hs_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
const long one = 1 << 25; /* s6.25 */
|
||||
const long sqrtA = get_replaygain_int(db*5/2) << 2; /* 10^(db/80), s5.26 */
|
||||
const long A = FRACMUL_SHL(sqrtA, sqrtA, 8); /* s2.29 */
|
||||
const long alpha = fsincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
const long alpha = fp_sincos(cutoff, &cs)/(2*Q)*10 >> 1; /* s1.30 */
|
||||
const long ap1 = (A >> 4) + one;
|
||||
const long am1 = (A >> 4) - one;
|
||||
const long twosqrtalpha = 2*FRACMUL(sqrtA, alpha);
|
||||
|
|
@ -311,7 +217,7 @@ void eq_hs_coefs(unsigned long cutoff, unsigned long Q, long db, int32_t *c)
|
|||
a2 = ap1 - FRACMUL(am1, cs) - twosqrtalpha;
|
||||
|
||||
/* [0.1 .. 1.99] */
|
||||
const long rcp_a0 = DIV64(1, a0, 55); /* s1.30 */
|
||||
const long rcp_a0 = fp_div(1, a0, 55); /* s1.30 */
|
||||
*c++ = FRACMUL_SHL(b0, rcp_a0, 2); /* [0 .. 16] */
|
||||
*c++ = FRACMUL_SHL(b1, rcp_a0, 2); /* [-31.7 .. 2] */
|
||||
*c++ = FRACMUL_SHL(b2, rcp_a0, 2); /* [0 .. 16] */
|
||||
|
|
|
|||
|
|
@ -23,6 +23,7 @@
|
|||
#define _EQ_H
|
||||
|
||||
#include <inttypes.h>
|
||||
#include <stdbool.h>
|
||||
|
||||
/* These depend on the fixed point formats used by the different filter types
|
||||
and need to be changed when they change.
|
||||
|
|
|
|||
452
apps/fixedpoint.c
Normal file
452
apps/fixedpoint.c
Normal file
|
|
@ -0,0 +1,452 @@
|
|||
/***************************************************************************
|
||||
* __________ __ ___.
|
||||
* Open \______ \ ____ ____ | | _\_ |__ _______ ___
|
||||
* Source | _// _ \_/ ___\| |/ /| __ \ / _ \ \/ /
|
||||
* Jukebox | | ( <_> ) \___| < | \_\ ( <_> > < <
|
||||
* Firmware |____|_ /\____/ \___ >__|_ \|___ /\____/__/\_ \
|
||||
* \/ \/ \/ \/ \/
|
||||
* $Id: fixedpoint.c -1 $
|
||||
*
|
||||
* Copyright (C) 2006 Jens Arnold
|
||||
*
|
||||
* Fixed point library for plugins
|
||||
*
|
||||
* This program is free software; you can redistribute it and/or
|
||||
* modify it under the terms of the GNU General Public License
|
||||
* as published by the Free Software Foundation; either version 2
|
||||
* of the License, or (at your option) any later version.
|
||||
*
|
||||
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
|
||||
* KIND, either express or implied.
|
||||
*
|
||||
****************************************************************************/
|
||||
|
||||
#include "fixedpoint.h"
|
||||
#include <stdlib.h>
|
||||
#include <stdbool.h>
|
||||
#include <inttypes.h>
|
||||
|
||||
#ifndef BIT_N
|
||||
#define BIT_N(n) (1U << (n))
|
||||
#endif
|
||||
|
||||
/** TAKEN FROM ORIGINAL fixedpoint.h */
|
||||
/* Inverse gain of circular cordic rotation in s0.31 format. */
|
||||
static const long cordic_circular_gain = 0xb2458939; /* 0.607252929 */
|
||||
|
||||
/* Table of values of atan(2^-i) in 0.32 format fractions of pi where pi = 0xffffffff / 2 */
|
||||
static const unsigned long atan_table[] = {
|
||||
0x1fffffff, /* +0.785398163 (or pi/4) */
|
||||
0x12e4051d, /* +0.463647609 */
|
||||
0x09fb385b, /* +0.244978663 */
|
||||
0x051111d4, /* +0.124354995 */
|
||||
0x028b0d43, /* +0.062418810 */
|
||||
0x0145d7e1, /* +0.031239833 */
|
||||
0x00a2f61e, /* +0.015623729 */
|
||||
0x00517c55, /* +0.007812341 */
|
||||
0x0028be53, /* +0.003906230 */
|
||||
0x00145f2e, /* +0.001953123 */
|
||||
0x000a2f98, /* +0.000976562 */
|
||||
0x000517cc, /* +0.000488281 */
|
||||
0x00028be6, /* +0.000244141 */
|
||||
0x000145f3, /* +0.000122070 */
|
||||
0x0000a2f9, /* +0.000061035 */
|
||||
0x0000517c, /* +0.000030518 */
|
||||
0x000028be, /* +0.000015259 */
|
||||
0x0000145f, /* +0.000007629 */
|
||||
0x00000a2f, /* +0.000003815 */
|
||||
0x00000517, /* +0.000001907 */
|
||||
0x0000028b, /* +0.000000954 */
|
||||
0x00000145, /* +0.000000477 */
|
||||
0x000000a2, /* +0.000000238 */
|
||||
0x00000051, /* +0.000000119 */
|
||||
0x00000028, /* +0.000000060 */
|
||||
0x00000014, /* +0.000000030 */
|
||||
0x0000000a, /* +0.000000015 */
|
||||
0x00000005, /* +0.000000007 */
|
||||
0x00000002, /* +0.000000004 */
|
||||
0x00000001, /* +0.000000002 */
|
||||
0x00000000, /* +0.000000001 */
|
||||
0x00000000, /* +0.000000000 */
|
||||
};
|
||||
|
||||
/* Precalculated sine and cosine * 16384 (2^14) (fixed point 18.14) */
|
||||
static const short sin_table[91] =
|
||||
{
|
||||
0, 285, 571, 857, 1142, 1427, 1712, 1996, 2280, 2563,
|
||||
2845, 3126, 3406, 3685, 3963, 4240, 4516, 4790, 5062, 5334,
|
||||
5603, 5871, 6137, 6401, 6663, 6924, 7182, 7438, 7691, 7943,
|
||||
8191, 8438, 8682, 8923, 9161, 9397, 9630, 9860, 10086, 10310,
|
||||
10531, 10748, 10963, 11173, 11381, 11585, 11785, 11982, 12175, 12365,
|
||||
12550, 12732, 12910, 13084, 13254, 13420, 13582, 13740, 13894, 14043,
|
||||
14188, 14329, 14466, 14598, 14725, 14848, 14967, 15081, 15190, 15295,
|
||||
15395, 15491, 15582, 15668, 15749, 15825, 15897, 15964, 16025, 16082,
|
||||
16135, 16182, 16224, 16261, 16294, 16321, 16344, 16361, 16374, 16381,
|
||||
16384
|
||||
};
|
||||
|
||||
/**
|
||||
* Implements sin and cos using CORDIC rotation.
|
||||
*
|
||||
* @param phase has range from 0 to 0xffffffff, representing 0 and
|
||||
* 2*pi respectively.
|
||||
* @param cos return address for cos
|
||||
* @return sin of phase, value is a signed value from LONG_MIN to LONG_MAX,
|
||||
* representing -1 and 1 respectively.
|
||||
*/
|
||||
long fp_sincos(unsigned long phase, long *cos)
|
||||
{
|
||||
int32_t x, x1, y, y1;
|
||||
unsigned long z, z1;
|
||||
int i;
|
||||
|
||||
/* Setup initial vector */
|
||||
x = cordic_circular_gain;
|
||||
y = 0;
|
||||
z = phase;
|
||||
|
||||
/* The phase has to be somewhere between 0..pi for this to work right */
|
||||
if (z < 0xffffffff / 4) {
|
||||
/* z in first quadrant, z += pi/2 to correct */
|
||||
x = -x;
|
||||
z += 0xffffffff / 4;
|
||||
} else if (z < 3 * (0xffffffff / 4)) {
|
||||
/* z in third quadrant, z -= pi/2 to correct */
|
||||
z -= 0xffffffff / 4;
|
||||
} else {
|
||||
/* z in fourth quadrant, z -= 3pi/2 to correct */
|
||||
x = -x;
|
||||
z -= 3 * (0xffffffff / 4);
|
||||
}
|
||||
|
||||
/* Each iteration adds roughly 1-bit of extra precision */
|
||||
for (i = 0; i < 31; i++) {
|
||||
x1 = x >> i;
|
||||
y1 = y >> i;
|
||||
z1 = atan_table[i];
|
||||
|
||||
/* Decided which direction to rotate vector. Pivot point is pi/2 */
|
||||
if (z >= 0xffffffff / 4) {
|
||||
x -= y1;
|
||||
y += x1;
|
||||
z -= z1;
|
||||
} else {
|
||||
x += y1;
|
||||
y -= x1;
|
||||
z += z1;
|
||||
}
|
||||
}
|
||||
|
||||
if (cos)
|
||||
*cos = x;
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
|
||||
#if defined(PLUGIN) || defined(CODEC)
|
||||
/**
|
||||
* Fixed point square root via Newton-Raphson.
|
||||
* @param x square root argument.
|
||||
* @param fracbits specifies number of fractional bits in argument.
|
||||
* @return Square root of argument in same fixed point format as input.
|
||||
*
|
||||
* This routine has been modified to run longer for greater precision,
|
||||
* but cuts calculation short if the answer is reached sooner. In
|
||||
* general, the closer x is to 1, the quicker the calculation.
|
||||
*/
|
||||
long fp_sqrt(long x, unsigned int fracbits)
|
||||
{
|
||||
long b = x/2 + BIT_N(fracbits); /* initial approximation */
|
||||
long c;
|
||||
unsigned n;
|
||||
const unsigned iterations = 8;
|
||||
|
||||
for (n = 0; n < iterations; ++n)
|
||||
{
|
||||
c = fp_div(x, b, fracbits);
|
||||
if (c == b) break;
|
||||
b = (b + c)/2;
|
||||
}
|
||||
|
||||
return b;
|
||||
}
|
||||
#endif /* PLUGIN or CODEC */
|
||||
|
||||
|
||||
#if defined(PLUGIN)
|
||||
/**
|
||||
* Fixed point sinus using a lookup table
|
||||
* don't forget to divide the result by 16384 to get the actual sinus value
|
||||
* @param val sinus argument in degree
|
||||
* @return sin(val)*16384
|
||||
*/
|
||||
long fp14_sin(int val)
|
||||
{
|
||||
val = (val+360)%360;
|
||||
if (val < 181)
|
||||
{
|
||||
if (val < 91)/* phase 0-90 degree */
|
||||
return (long)sin_table[val];
|
||||
else/* phase 91-180 degree */
|
||||
return (long)sin_table[180-val];
|
||||
}
|
||||
else
|
||||
{
|
||||
if (val < 271)/* phase 181-270 degree */
|
||||
return -(long)sin_table[val-180];
|
||||
else/* phase 270-359 degree */
|
||||
return -(long)sin_table[360-val];
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed point cosinus using a lookup table
|
||||
* don't forget to divide the result by 16384 to get the actual cosinus value
|
||||
* @param val sinus argument in degree
|
||||
* @return cos(val)*16384
|
||||
*/
|
||||
long fp14_cos(int val)
|
||||
{
|
||||
val = (val+360)%360;
|
||||
if (val < 181)
|
||||
{
|
||||
if (val < 91)/* phase 0-90 degree */
|
||||
return (long)sin_table[90-val];
|
||||
else/* phase 91-180 degree */
|
||||
return -(long)sin_table[val-90];
|
||||
}
|
||||
else
|
||||
{
|
||||
if (val < 271)/* phase 181-270 degree */
|
||||
return -(long)sin_table[270-val];
|
||||
else/* phase 270-359 degree */
|
||||
return (long)sin_table[val-270];
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed-point natural log
|
||||
* taken from http://www.quinapalus.com/efunc.html
|
||||
* "The code assumes integers are at least 32 bits long. The (positive)
|
||||
* argument and the result of the function are both expressed as fixed-point
|
||||
* values with 16 fractional bits, although intermediates are kept with 28
|
||||
* bits of precision to avoid loss of accuracy during shifts."
|
||||
*/
|
||||
|
||||
long fp16_log(int x) {
|
||||
long t,y;
|
||||
|
||||
y=0xa65af;
|
||||
if(x<0x00008000) x<<=16, y-=0xb1721;
|
||||
if(x<0x00800000) x<<= 8, y-=0x58b91;
|
||||
if(x<0x08000000) x<<= 4, y-=0x2c5c8;
|
||||
if(x<0x20000000) x<<= 2, y-=0x162e4;
|
||||
if(x<0x40000000) x<<= 1, y-=0x0b172;
|
||||
t=x+(x>>1); if((t&0x80000000)==0) x=t,y-=0x067cd;
|
||||
t=x+(x>>2); if((t&0x80000000)==0) x=t,y-=0x03920;
|
||||
t=x+(x>>3); if((t&0x80000000)==0) x=t,y-=0x01e27;
|
||||
t=x+(x>>4); if((t&0x80000000)==0) x=t,y-=0x00f85;
|
||||
t=x+(x>>5); if((t&0x80000000)==0) x=t,y-=0x007e1;
|
||||
t=x+(x>>6); if((t&0x80000000)==0) x=t,y-=0x003f8;
|
||||
t=x+(x>>7); if((t&0x80000000)==0) x=t,y-=0x001fe;
|
||||
x=0x80000000-x;
|
||||
y-=x>>15;
|
||||
return y;
|
||||
}
|
||||
#endif /* PLUGIN */
|
||||
|
||||
|
||||
#if (!defined(PLUGIN) && !defined(CODEC))
|
||||
/** MODIFIED FROM replaygain.c */
|
||||
/* These math routines have 64-bit internal precision to avoid overflows.
|
||||
* Arguments and return values are 32-bit (long) precision.
|
||||
*/
|
||||
|
||||
#define FP_MUL64(x, y) (((x) * (y)) >> (fracbits))
|
||||
#define FP_DIV64(x, y) (((x) << (fracbits)) / (y))
|
||||
|
||||
static long long fp_exp10(long long x, unsigned int fracbits);
|
||||
/* static long long fp_log10(long long n, unsigned int fracbits); */
|
||||
|
||||
/* constants in fixed point format, 28 fractional bits */
|
||||
#define FP28_LN2 (186065279LL) /* ln(2) */
|
||||
#define FP28_LN2_INV (387270501LL) /* 1/ln(2) */
|
||||
#define FP28_EXP_ZERO (44739243LL) /* 1/6 */
|
||||
#define FP28_EXP_ONE (-745654LL) /* -1/360 */
|
||||
#define FP28_EXP_TWO (12428LL) /* 1/21600 */
|
||||
#define FP28_LN10 (618095479LL) /* ln(10) */
|
||||
#define FP28_LOG10OF2 (80807124LL) /* log10(2) */
|
||||
|
||||
#define TOL_BITS 2 /* log calculation tolerance */
|
||||
|
||||
|
||||
/* The fpexp10 fixed point math routine is based
|
||||
* on oMathFP by Dan Carter (http://orbisstudios.com).
|
||||
*/
|
||||
|
||||
/** FIXED POINT EXP10
|
||||
* Return 10^x as FP integer. Argument is FP integer.
|
||||
*/
|
||||
static long long fp_exp10(long long x, unsigned int fracbits)
|
||||
{
|
||||
long long k;
|
||||
long long z;
|
||||
long long R;
|
||||
long long xp;
|
||||
|
||||
/* scale constants */
|
||||
const long long fp_one = (1 << fracbits);
|
||||
const long long fp_half = (1 << (fracbits - 1));
|
||||
const long long fp_two = (2 << fracbits);
|
||||
const long long fp_mask = (fp_one - 1);
|
||||
const long long fp_ln2_inv = (FP28_LN2_INV >> (28 - fracbits));
|
||||
const long long fp_ln2 = (FP28_LN2 >> (28 - fracbits));
|
||||
const long long fp_ln10 = (FP28_LN10 >> (28 - fracbits));
|
||||
const long long fp_exp_zero = (FP28_EXP_ZERO >> (28 - fracbits));
|
||||
const long long fp_exp_one = (FP28_EXP_ONE >> (28 - fracbits));
|
||||
const long long fp_exp_two = (FP28_EXP_TWO >> (28 - fracbits));
|
||||
|
||||
/* exp(0) = 1 */
|
||||
if (x == 0)
|
||||
{
|
||||
return fp_one;
|
||||
}
|
||||
|
||||
/* convert from base 10 to base e */
|
||||
x = FP_MUL64(x, fp_ln10);
|
||||
|
||||
/* calculate exp(x) */
|
||||
k = (FP_MUL64(abs(x), fp_ln2_inv) + fp_half) & ~fp_mask;
|
||||
|
||||
if (x < 0)
|
||||
{
|
||||
k = -k;
|
||||
}
|
||||
|
||||
x -= FP_MUL64(k, fp_ln2);
|
||||
z = FP_MUL64(x, x);
|
||||
R = fp_two + FP_MUL64(z, fp_exp_zero + FP_MUL64(z, fp_exp_one
|
||||
+ FP_MUL64(z, fp_exp_two)));
|
||||
xp = fp_one + FP_DIV64(FP_MUL64(fp_two, x), R - x);
|
||||
|
||||
if (k < 0)
|
||||
{
|
||||
k = fp_one >> (-k >> fracbits);
|
||||
}
|
||||
else
|
||||
{
|
||||
k = fp_one << (k >> fracbits);
|
||||
}
|
||||
|
||||
return FP_MUL64(k, xp);
|
||||
}
|
||||
|
||||
|
||||
#if 0 /* useful code, but not currently used */
|
||||
/** FIXED POINT LOG10
|
||||
* Return log10(x) as FP integer. Argument is FP integer.
|
||||
*/
|
||||
static long long fp_log10(long long n, unsigned int fracbits)
|
||||
{
|
||||
/* Calculate log2 of argument */
|
||||
|
||||
long long log2, frac;
|
||||
const long long fp_one = (1 << fracbits);
|
||||
const long long fp_two = (2 << fracbits);
|
||||
const long tolerance = (1 << ((fracbits / 2) + 2));
|
||||
|
||||
if (n <=0) return FP_NEGINF;
|
||||
log2 = 0;
|
||||
|
||||
/* integer part */
|
||||
while (n < fp_one)
|
||||
{
|
||||
log2 -= fp_one;
|
||||
n <<= 1;
|
||||
}
|
||||
while (n >= fp_two)
|
||||
{
|
||||
log2 += fp_one;
|
||||
n >>= 1;
|
||||
}
|
||||
|
||||
/* fractional part */
|
||||
frac = fp_one;
|
||||
while (frac > tolerance)
|
||||
{
|
||||
frac >>= 1;
|
||||
n = FP_MUL64(n, n);
|
||||
if (n >= fp_two)
|
||||
{
|
||||
n >>= 1;
|
||||
log2 += frac;
|
||||
}
|
||||
}
|
||||
|
||||
/* convert log2 to log10 */
|
||||
return FP_MUL64(log2, (FP28_LOG10OF2 >> (28 - fracbits)));
|
||||
}
|
||||
|
||||
|
||||
/** CONVERT FACTOR TO DECIBELS */
|
||||
long fp_decibels(unsigned long factor, unsigned int fracbits)
|
||||
{
|
||||
long long decibels;
|
||||
long long f = (long long)factor;
|
||||
bool neg;
|
||||
|
||||
/* keep factor in signed long range */
|
||||
if (f >= (1LL << 31))
|
||||
f = (1LL << 31) - 1;
|
||||
|
||||
/* decibels = 20 * log10(factor) */
|
||||
decibels = FP_MUL64((20LL << fracbits), fp_log10(f, fracbits));
|
||||
|
||||
/* keep result in signed long range */
|
||||
if ((neg = (decibels < 0)))
|
||||
decibels = -decibels;
|
||||
if (decibels >= (1LL << 31))
|
||||
return neg ? FP_NEGINF : FP_INF;
|
||||
|
||||
return neg ? (long)-decibels : (long)decibels;
|
||||
}
|
||||
#endif /* unused code */
|
||||
|
||||
|
||||
/** CONVERT DECIBELS TO FACTOR */
|
||||
long fp_factor(long decibels, unsigned int fracbits)
|
||||
{
|
||||
bool neg;
|
||||
long long factor;
|
||||
long long db = (long long)decibels;
|
||||
|
||||
/* if decibels is 0, factor is 1 */
|
||||
if (db == 0)
|
||||
return (1L << fracbits);
|
||||
|
||||
/* calculate for positive decibels only */
|
||||
if ((neg = (db < 0)))
|
||||
db = -db;
|
||||
|
||||
/* factor = 10 ^ (decibels / 20) */
|
||||
factor = fp_exp10(FP_DIV64(db, (20LL << fracbits)), fracbits);
|
||||
|
||||
/* keep result in signed long range, return 0 if very small */
|
||||
if (factor >= (1LL << 31))
|
||||
{
|
||||
if (neg)
|
||||
return 0;
|
||||
else
|
||||
return FP_INF;
|
||||
}
|
||||
|
||||
/* if negative argument, factor is 1 / result */
|
||||
if (neg)
|
||||
factor = FP_DIV64((1LL << fracbits), factor);
|
||||
|
||||
return (long)factor;
|
||||
}
|
||||
#endif /* !PLUGIN and !CODEC */
|
||||
69
apps/fixedpoint.h
Normal file
69
apps/fixedpoint.h
Normal file
|
|
@ -0,0 +1,69 @@
|
|||
/***************************************************************************
|
||||
* __________ __ ___.
|
||||
* Open \______ \ ____ ____ | | _\_ |__ _______ ___
|
||||
* Source | _// _ \_/ ___\| |/ /| __ \ / _ \ \/ /
|
||||
* Jukebox | | ( <_> ) \___| < | \_\ ( <_> > < <
|
||||
* Firmware |____|_ /\____/ \___ >__|_ \|___ /\____/__/\_ \
|
||||
* \/ \/ \/ \/ \/
|
||||
* $Id: fixedpoint.h -1 $
|
||||
*
|
||||
* Copyright (C) 2006 Jens Arnold
|
||||
*
|
||||
* Fixed point library for plugins
|
||||
*
|
||||
* This program is free software; you can redistribute it and/or
|
||||
* modify it under the terms of the GNU General Public License
|
||||
* as published by the Free Software Foundation; either version 2
|
||||
* of the License, or (at your option) any later version.
|
||||
*
|
||||
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
|
||||
* KIND, either express or implied.
|
||||
*
|
||||
****************************************************************************/
|
||||
|
||||
/** APPS - FIXED POINT MATH ROUTINES - USAGE
|
||||
*
|
||||
* - x and y arguments are fixed point integers
|
||||
* - fracbits is the number of fractional bits in the argument(s)
|
||||
* - functions return long fixed point integers with the specified number
|
||||
* of fractional bits unless otherwise specified
|
||||
*
|
||||
* Multiply two fixed point numbers:
|
||||
* fp_mul(x, y, fracbits)
|
||||
*
|
||||
* Divide two fixed point numbers:
|
||||
* fp_div(x, y, fracbits)
|
||||
*
|
||||
* Calculate decibel equivalent of a gain factor:
|
||||
* fp_decibels(factor, fracbits)
|
||||
* where fracbits is in the range 12 to 22 (higher is better),
|
||||
* and factor is a positive fixed point integer.
|
||||
*
|
||||
* Calculate factor equivalent of a decibel value:
|
||||
* fp_factor(decibels, fracbits)
|
||||
* where fracbits is in the range 12 to 22 (lower is better),
|
||||
* and decibels is a fixed point integer.
|
||||
*/
|
||||
|
||||
#ifndef _FIXEDPOINT_H_APPS
|
||||
#define _FIXEDPOINT_H_APPS
|
||||
|
||||
#define fp_mul(x, y, z) (long)((((long long)(x)) * ((long long)(y))) >> (z))
|
||||
#define fp_div(x, y, z) (long)((((long long)(x)) << (z)) / ((long long)(y)))
|
||||
|
||||
|
||||
/** TAKEN FROM ORIGINAL fixedpoint.h */
|
||||
long fp_sincos(unsigned long phase, long *cos);
|
||||
|
||||
|
||||
/** MODIFIED FROM replaygain.c */
|
||||
#define FP_INF (0x7fffffff)
|
||||
#define FP_NEGINF -(0x7fffffff)
|
||||
|
||||
/* fracbits in range 12 - 22 work well. Higher is better for
|
||||
* calculating dB, lower is better for calculating ratio.
|
||||
*/
|
||||
/* long fp_decibels(unsigned long factor, unsigned int fracbits); */
|
||||
long fp_factor(long decibels, unsigned int fracbits);
|
||||
|
||||
#endif
|
||||
93
apps/fracmul.h
Normal file
93
apps/fracmul.h
Normal file
|
|
@ -0,0 +1,93 @@
|
|||
#ifndef _FRACMUL_H
|
||||
#define _FRACMUL_H
|
||||
|
||||
/** FRACTIONAL MULTIPLICATION - TAKEN FROM apps/dsp.h
|
||||
* Multiply two fixed point numbers with 31 fractional bits:
|
||||
* FRACMUL(x, y)
|
||||
*
|
||||
* Multiply two fixed point numbers with 31 fractional bits,
|
||||
* then shift left by z bits:
|
||||
* FRACMUL_SHL(x, y, z)
|
||||
* NOTE: z must be in the range 1-8 on Coldfire targets.
|
||||
*/
|
||||
|
||||
|
||||
/* A bunch of fixed point assembler helper macros */
|
||||
#if defined(CPU_COLDFIRE)
|
||||
/* These macros use the Coldfire EMAC extension and need the MACSR flags set
|
||||
* to fractional mode with no rounding.
|
||||
*/
|
||||
|
||||
/* Multiply two S.31 fractional integers and return the sign bit and the
|
||||
* 31 most significant bits of the result.
|
||||
*/
|
||||
#define FRACMUL(x, y) \
|
||||
({ \
|
||||
long t; \
|
||||
asm ("mac.l %[a], %[b], %%acc0\n\t" \
|
||||
"movclr.l %%acc0, %[t]\n\t" \
|
||||
: [t] "=r" (t) : [a] "r" (x), [b] "r" (y)); \
|
||||
t; \
|
||||
})
|
||||
|
||||
/* Multiply two S.31 fractional integers, and return the 32 most significant
|
||||
* bits after a shift left by the constant z. NOTE: Only works for shifts of
|
||||
* 1 to 8 on Coldfire!
|
||||
*/
|
||||
#define FRACMUL_SHL(x, y, z) \
|
||||
({ \
|
||||
long t, t2; \
|
||||
asm ("mac.l %[a], %[b], %%acc0\n\t" \
|
||||
"moveq.l %[d], %[t]\n\t" \
|
||||
"move.l %%accext01, %[t2]\n\t" \
|
||||
"and.l %[mask], %[t2]\n\t" \
|
||||
"lsr.l %[t], %[t2]\n\t" \
|
||||
"movclr.l %%acc0, %[t]\n\t" \
|
||||
"asl.l %[c], %[t]\n\t" \
|
||||
"or.l %[t2], %[t]\n\t" \
|
||||
: [t] "=&d" (t), [t2] "=&d" (t2) \
|
||||
: [a] "r" (x), [b] "r" (y), [mask] "d" (0xff), \
|
||||
[c] "i" ((z)), [d] "i" (8 - (z))); \
|
||||
t; \
|
||||
})
|
||||
|
||||
#elif defined(CPU_ARM)
|
||||
|
||||
/* Multiply two S.31 fractional integers and return the sign bit and the
|
||||
* 31 most significant bits of the result.
|
||||
*/
|
||||
#define FRACMUL(x, y) \
|
||||
({ \
|
||||
long t, t2; \
|
||||
asm ("smull %[t], %[t2], %[a], %[b]\n\t" \
|
||||
"mov %[t2], %[t2], asl #1\n\t" \
|
||||
"orr %[t], %[t2], %[t], lsr #31\n\t" \
|
||||
: [t] "=&r" (t), [t2] "=&r" (t2) \
|
||||
: [a] "r" (x), [b] "r" (y)); \
|
||||
t; \
|
||||
})
|
||||
|
||||
/* Multiply two S.31 fractional integers, and return the 32 most significant
|
||||
* bits after a shift left by the constant z.
|
||||
*/
|
||||
#define FRACMUL_SHL(x, y, z) \
|
||||
({ \
|
||||
long t, t2; \
|
||||
asm ("smull %[t], %[t2], %[a], %[b]\n\t" \
|
||||
"mov %[t2], %[t2], asl %[c]\n\t" \
|
||||
"orr %[t], %[t2], %[t], lsr %[d]\n\t" \
|
||||
: [t] "=&r" (t), [t2] "=&r" (t2) \
|
||||
: [a] "r" (x), [b] "r" (y), \
|
||||
[c] "M" ((z) + 1), [d] "M" (31 - (z))); \
|
||||
t; \
|
||||
})
|
||||
|
||||
#else
|
||||
|
||||
#define FRACMUL(x, y) (long) (((((long long) (x)) * ((long long) (y))) >> 31))
|
||||
#define FRACMUL_SHL(x, y, z) \
|
||||
((long)(((((long long) (x)) * ((long long) (y))) >> (31 - (z)))))
|
||||
|
||||
#endif
|
||||
|
||||
#endif
|
||||
|
|
@ -344,7 +344,7 @@ static void init_tables(void)
|
|||
phase = pfrac = 0;
|
||||
|
||||
for (i = 0; i < TABLE_SIZE; i++) {
|
||||
sin = fsincos(phase, NULL);
|
||||
sin = fp_sincos(phase, NULL);
|
||||
xtable[i] = RADIUS_X + sin / DIV_X;
|
||||
ytable[i] = RADIUS_Y + sin / DIV_Y;
|
||||
|
||||
|
|
@ -411,7 +411,7 @@ static void init_clock(void)
|
|||
phase = pfrac = 0;
|
||||
|
||||
for (i = 0; i < 60; i++) {
|
||||
sin = fsincos(phase, &cos);
|
||||
sin = fp_sincos(phase, &cos);
|
||||
xminute[i] = LCD_WIDTH/2 + sin / DIV_MX;
|
||||
yminute[i] = LCD_HEIGHT/2 - cos / DIV_MY;
|
||||
xhour[i] = LCD_WIDTH/2 + sin / DIV_HX;
|
||||
|
|
|
|||
|
|
@ -1469,17 +1469,17 @@ static void bubbles_drawboard(struct game_context* bb) {
|
|||
ROW_HEIGHT*(BB_HEIGHT-2)+BUBBLE_HEIGHT);
|
||||
|
||||
/* draw arrow */
|
||||
tipx = SHOTX+BUBBLE_WIDTH/2+(((sin_int(bb->angle)>>4)*BUBBLE_WIDTH*3/2)>>10);
|
||||
tipy = SHOTY+BUBBLE_HEIGHT/2-(((cos_int(bb->angle)>>4)*BUBBLE_HEIGHT*3/2)>>10);
|
||||
tipx = SHOTX+BUBBLE_WIDTH/2+(((fp14_sin(bb->angle)>>4)*BUBBLE_WIDTH*3/2)>>10);
|
||||
tipy = SHOTY+BUBBLE_HEIGHT/2-(((fp14_cos(bb->angle)>>4)*BUBBLE_HEIGHT*3/2)>>10);
|
||||
|
||||
rb->lcd_drawline(SHOTX+BUBBLE_WIDTH/2+(((sin_int(bb->angle)>>4)*BUBBLE_WIDTH/2)>>10),
|
||||
SHOTY+BUBBLE_HEIGHT/2-(((cos_int(bb->angle)>>4)*BUBBLE_HEIGHT/2)>>10),
|
||||
rb->lcd_drawline(SHOTX+BUBBLE_WIDTH/2+(((fp14_sin(bb->angle)>>4)*BUBBLE_WIDTH/2)>>10),
|
||||
SHOTY+BUBBLE_HEIGHT/2-(((fp14_cos(bb->angle)>>4)*BUBBLE_HEIGHT/2)>>10),
|
||||
tipx, tipy);
|
||||
xlcd_filltriangle(tipx, tipy,
|
||||
tipx+(((sin_int(bb->angle-135)>>4)*BUBBLE_WIDTH/3)>>10),
|
||||
tipy-(((cos_int(bb->angle-135)>>4)*BUBBLE_HEIGHT/3)>>10),
|
||||
tipx+(((sin_int(bb->angle+135)>>4)*BUBBLE_WIDTH/3)>>10),
|
||||
tipy-(((cos_int(bb->angle+135)>>4)*BUBBLE_HEIGHT/3)>>10));
|
||||
tipx+(((fp14_sin(bb->angle-135)>>4)*BUBBLE_WIDTH/3)>>10),
|
||||
tipy-(((fp14_cos(bb->angle-135)>>4)*BUBBLE_HEIGHT/3)>>10),
|
||||
tipx+(((fp14_sin(bb->angle+135)>>4)*BUBBLE_WIDTH/3)>>10),
|
||||
tipy-(((fp14_cos(bb->angle+135)>>4)*BUBBLE_HEIGHT/3)>>10));
|
||||
|
||||
/* draw text */
|
||||
rb->lcd_getstringsize(level, &w, &h);
|
||||
|
|
@ -1524,8 +1524,8 @@ static int bubbles_fire(struct game_context* bb) {
|
|||
|
||||
/* get current bubble */
|
||||
bubblecur = bb->queue[bb->nextinq];
|
||||
shotxinc = ((sin_int(bb->angle)>>4)*BUBBLE_WIDTH)/3;
|
||||
shotyinc = ((-1*(cos_int(bb->angle)>>4))*BUBBLE_HEIGHT)/3;
|
||||
shotxinc = ((fp14_sin(bb->angle)>>4)*BUBBLE_WIDTH)/3;
|
||||
shotyinc = ((-1*(fp14_cos(bb->angle)>>4))*BUBBLE_HEIGHT)/3;
|
||||
shotxofs = shotyofs = 0;
|
||||
|
||||
/* advance the queue */
|
||||
|
|
|
|||
|
|
@ -41,11 +41,11 @@ void polar_to_cartesian(int a, int r, int* x, int* y)
|
|||
{
|
||||
#if CONFIG_LCD == LCD_SSD1815
|
||||
/* Correct non-square pixel aspect of archos recorder LCD */
|
||||
*x = (sin_int(a) * 5 / 4 * r) >> 14;
|
||||
*x = (fp14_sin(a) * 5 / 4 * r) >> 14;
|
||||
#else
|
||||
*x = (sin_int(a) * r) >> 14;
|
||||
*x = (fp14_sin(a) * r) >> 14;
|
||||
#endif
|
||||
*y = (sin_int(a-90) * r) >> 14;
|
||||
*y = (fp14_sin(a-90) * r) >> 14;
|
||||
}
|
||||
|
||||
void polar_to_cartesian_screen_centered(struct screen * display,
|
||||
|
|
|
|||
|
|
@ -433,12 +433,12 @@ static void cube_rotate(int xa, int ya, int za)
|
|||
/* Just to prevent unnecessary lookups */
|
||||
long sxa, cxa, sya, cya, sza, cza;
|
||||
|
||||
sxa = sin_int(xa);
|
||||
cxa = cos_int(xa);
|
||||
sya = sin_int(ya);
|
||||
cya = cos_int(ya);
|
||||
sza = sin_int(za);
|
||||
cza = cos_int(za);
|
||||
sxa = fp14_sin(xa);
|
||||
cxa = fp14_cos(xa);
|
||||
sya = fp14_sin(ya);
|
||||
cya = fp14_cos(ya);
|
||||
sza = fp14_sin(za);
|
||||
cza = fp14_cos(za);
|
||||
|
||||
/* calculate overall translation matrix */
|
||||
matrice[0][0] = (cza * cya) >> 14;
|
||||
|
|
|
|||
|
|
@ -1,238 +1 @@
|
|||
/***************************************************************************
|
||||
* __________ __ ___.
|
||||
* Open \______ \ ____ ____ | | _\_ |__ _______ ___
|
||||
* Source | _// _ \_/ ___\| |/ /| __ \ / _ \ \/ /
|
||||
* Jukebox | | ( <_> ) \___| < | \_\ ( <_> > < <
|
||||
* Firmware |____|_ /\____/ \___ >__|_ \|___ /\____/__/\_ \
|
||||
* \/ \/ \/ \/ \/
|
||||
* $Id$
|
||||
*
|
||||
* Copyright (C) 2006 Jens Arnold
|
||||
*
|
||||
* Fixed point library for plugins
|
||||
*
|
||||
* This program is free software; you can redistribute it and/or
|
||||
* modify it under the terms of the GNU General Public License
|
||||
* as published by the Free Software Foundation; either version 2
|
||||
* of the License, or (at your option) any later version.
|
||||
*
|
||||
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
|
||||
* KIND, either express or implied.
|
||||
*
|
||||
****************************************************************************/
|
||||
|
||||
#include <inttypes.h>
|
||||
#include "plugin.h"
|
||||
#include "fixedpoint.h"
|
||||
|
||||
/* Inverse gain of circular cordic rotation in s0.31 format. */
|
||||
static const long cordic_circular_gain = 0xb2458939; /* 0.607252929 */
|
||||
|
||||
/* Table of values of atan(2^-i) in 0.32 format fractions of pi where pi = 0xffffffff / 2 */
|
||||
static const unsigned long atan_table[] = {
|
||||
0x1fffffff, /* +0.785398163 (or pi/4) */
|
||||
0x12e4051d, /* +0.463647609 */
|
||||
0x09fb385b, /* +0.244978663 */
|
||||
0x051111d4, /* +0.124354995 */
|
||||
0x028b0d43, /* +0.062418810 */
|
||||
0x0145d7e1, /* +0.031239833 */
|
||||
0x00a2f61e, /* +0.015623729 */
|
||||
0x00517c55, /* +0.007812341 */
|
||||
0x0028be53, /* +0.003906230 */
|
||||
0x00145f2e, /* +0.001953123 */
|
||||
0x000a2f98, /* +0.000976562 */
|
||||
0x000517cc, /* +0.000488281 */
|
||||
0x00028be6, /* +0.000244141 */
|
||||
0x000145f3, /* +0.000122070 */
|
||||
0x0000a2f9, /* +0.000061035 */
|
||||
0x0000517c, /* +0.000030518 */
|
||||
0x000028be, /* +0.000015259 */
|
||||
0x0000145f, /* +0.000007629 */
|
||||
0x00000a2f, /* +0.000003815 */
|
||||
0x00000517, /* +0.000001907 */
|
||||
0x0000028b, /* +0.000000954 */
|
||||
0x00000145, /* +0.000000477 */
|
||||
0x000000a2, /* +0.000000238 */
|
||||
0x00000051, /* +0.000000119 */
|
||||
0x00000028, /* +0.000000060 */
|
||||
0x00000014, /* +0.000000030 */
|
||||
0x0000000a, /* +0.000000015 */
|
||||
0x00000005, /* +0.000000007 */
|
||||
0x00000002, /* +0.000000004 */
|
||||
0x00000001, /* +0.000000002 */
|
||||
0x00000000, /* +0.000000001 */
|
||||
0x00000000, /* +0.000000000 */
|
||||
};
|
||||
|
||||
/* Precalculated sine and cosine * 16384 (2^14) (fixed point 18.14) */
|
||||
static const short sin_table[91] =
|
||||
{
|
||||
0, 285, 571, 857, 1142, 1427, 1712, 1996, 2280, 2563,
|
||||
2845, 3126, 3406, 3685, 3963, 4240, 4516, 4790, 5062, 5334,
|
||||
5603, 5871, 6137, 6401, 6663, 6924, 7182, 7438, 7691, 7943,
|
||||
8191, 8438, 8682, 8923, 9161, 9397, 9630, 9860, 10086, 10310,
|
||||
10531, 10748, 10963, 11173, 11381, 11585, 11785, 11982, 12175, 12365,
|
||||
12550, 12732, 12910, 13084, 13254, 13420, 13582, 13740, 13894, 14043,
|
||||
14188, 14329, 14466, 14598, 14725, 14848, 14967, 15081, 15190, 15295,
|
||||
15395, 15491, 15582, 15668, 15749, 15825, 15897, 15964, 16025, 16082,
|
||||
16135, 16182, 16224, 16261, 16294, 16321, 16344, 16361, 16374, 16381,
|
||||
16384
|
||||
};
|
||||
|
||||
/**
|
||||
* Implements sin and cos using CORDIC rotation.
|
||||
*
|
||||
* @param phase has range from 0 to 0xffffffff, representing 0 and
|
||||
* 2*pi respectively.
|
||||
* @param cos return address for cos
|
||||
* @return sin of phase, value is a signed value from LONG_MIN to LONG_MAX,
|
||||
* representing -1 and 1 respectively.
|
||||
*/
|
||||
long fsincos(unsigned long phase, long *cos)
|
||||
{
|
||||
int32_t x, x1, y, y1;
|
||||
unsigned long z, z1;
|
||||
int i;
|
||||
|
||||
/* Setup initial vector */
|
||||
x = cordic_circular_gain;
|
||||
y = 0;
|
||||
z = phase;
|
||||
|
||||
/* The phase has to be somewhere between 0..pi for this to work right */
|
||||
if (z < 0xffffffff / 4) {
|
||||
/* z in first quadrant, z += pi/2 to correct */
|
||||
x = -x;
|
||||
z += 0xffffffff / 4;
|
||||
} else if (z < 3 * (0xffffffff / 4)) {
|
||||
/* z in third quadrant, z -= pi/2 to correct */
|
||||
z -= 0xffffffff / 4;
|
||||
} else {
|
||||
/* z in fourth quadrant, z -= 3pi/2 to correct */
|
||||
x = -x;
|
||||
z -= 3 * (0xffffffff / 4);
|
||||
}
|
||||
|
||||
/* Each iteration adds roughly 1-bit of extra precision */
|
||||
for (i = 0; i < 31; i++) {
|
||||
x1 = x >> i;
|
||||
y1 = y >> i;
|
||||
z1 = atan_table[i];
|
||||
|
||||
/* Decided which direction to rotate vector. Pivot point is pi/2 */
|
||||
if (z >= 0xffffffff / 4) {
|
||||
x -= y1;
|
||||
y += x1;
|
||||
z -= z1;
|
||||
} else {
|
||||
x += y1;
|
||||
y -= x1;
|
||||
z += z1;
|
||||
}
|
||||
}
|
||||
|
||||
if (cos)
|
||||
*cos = x;
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed point square root via Newton-Raphson.
|
||||
* @param a square root argument.
|
||||
* @param fracbits specifies number of fractional bits in argument.
|
||||
* @return Square root of argument in same fixed point format as input.
|
||||
*/
|
||||
long fsqrt(long a, unsigned int fracbits)
|
||||
{
|
||||
long b = a/2 + BIT_N(fracbits); /* initial approximation */
|
||||
unsigned n;
|
||||
const unsigned iterations = 4;
|
||||
|
||||
for (n = 0; n < iterations; ++n)
|
||||
b = (b + (long)(((long long)(a) << fracbits)/b))/2;
|
||||
|
||||
return b;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed point sinus using a lookup table
|
||||
* don't forget to divide the result by 16384 to get the actual sinus value
|
||||
* @param val sinus argument in degree
|
||||
* @return sin(val)*16384
|
||||
*/
|
||||
long sin_int(int val)
|
||||
{
|
||||
val = (val+360)%360;
|
||||
if (val < 181)
|
||||
{
|
||||
if (val < 91)/* phase 0-90 degree */
|
||||
return (long)sin_table[val];
|
||||
else/* phase 91-180 degree */
|
||||
return (long)sin_table[180-val];
|
||||
}
|
||||
else
|
||||
{
|
||||
if (val < 271)/* phase 181-270 degree */
|
||||
return -(long)sin_table[val-180];
|
||||
else/* phase 270-359 degree */
|
||||
return -(long)sin_table[360-val];
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed point cosinus using a lookup table
|
||||
* don't forget to divide the result by 16384 to get the actual cosinus value
|
||||
* @param val sinus argument in degree
|
||||
* @return cos(val)*16384
|
||||
*/
|
||||
long cos_int(int val)
|
||||
{
|
||||
val = (val+360)%360;
|
||||
if (val < 181)
|
||||
{
|
||||
if (val < 91)/* phase 0-90 degree */
|
||||
return (long)sin_table[90-val];
|
||||
else/* phase 91-180 degree */
|
||||
return -(long)sin_table[val-90];
|
||||
}
|
||||
else
|
||||
{
|
||||
if (val < 271)/* phase 181-270 degree */
|
||||
return -(long)sin_table[270-val];
|
||||
else/* phase 270-359 degree */
|
||||
return (long)sin_table[val-270];
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
/**
|
||||
* Fixed-point natural log
|
||||
* taken from http://www.quinapalus.com/efunc.html
|
||||
* "The code assumes integers are at least 32 bits long. The (positive)
|
||||
* argument and the result of the function are both expressed as fixed-point
|
||||
* values with 16 fractional bits, although intermediates are kept with 28
|
||||
* bits of precision to avoid loss of accuracy during shifts."
|
||||
*/
|
||||
|
||||
long flog(int x) {
|
||||
long t,y;
|
||||
|
||||
y=0xa65af;
|
||||
if(x<0x00008000) x<<=16, y-=0xb1721;
|
||||
if(x<0x00800000) x<<= 8, y-=0x58b91;
|
||||
if(x<0x08000000) x<<= 4, y-=0x2c5c8;
|
||||
if(x<0x20000000) x<<= 2, y-=0x162e4;
|
||||
if(x<0x40000000) x<<= 1, y-=0x0b172;
|
||||
t=x+(x>>1); if((t&0x80000000)==0) x=t,y-=0x067cd;
|
||||
t=x+(x>>2); if((t&0x80000000)==0) x=t,y-=0x03920;
|
||||
t=x+(x>>3); if((t&0x80000000)==0) x=t,y-=0x01e27;
|
||||
t=x+(x>>4); if((t&0x80000000)==0) x=t,y-=0x00f85;
|
||||
t=x+(x>>5); if((t&0x80000000)==0) x=t,y-=0x007e1;
|
||||
t=x+(x>>6); if((t&0x80000000)==0) x=t,y-=0x003f8;
|
||||
t=x+(x>>7); if((t&0x80000000)==0) x=t,y-=0x001fe;
|
||||
x=0x80000000-x;
|
||||
y-=x>>15;
|
||||
return y;
|
||||
}
|
||||
#include "../../fixedpoint.c"
|
||||
|
|
|
|||
|
|
@ -21,11 +21,44 @@
|
|||
*
|
||||
****************************************************************************/
|
||||
|
||||
long fsincos(unsigned long phase, long *cos);
|
||||
long fsqrt(long a, unsigned int fracbits);
|
||||
long cos_int(int val);
|
||||
long sin_int(int val);
|
||||
long flog(int x);
|
||||
/** PLUGINS - FIXED POINT MATH ROUTINES - USAGE
|
||||
*
|
||||
* - x and y arguments are fixed point integers
|
||||
* - fracbits is the number of fractional bits in the argument(s)
|
||||
* - functions return long fixed point integers with the specified number
|
||||
* of fractional bits unless otherwise specified
|
||||
*
|
||||
* Calculate sin and cos of an angle:
|
||||
* fp_sincos(phase, *cos)
|
||||
* where phase is a 32 bit unsigned integer with 0 representing 0
|
||||
* and 0xFFFFFFFF representing 2*pi, and *cos is the address to
|
||||
* a long signed integer. Value returned is a long signed integer
|
||||
* from LONG_MIN to LONG_MAX, representing -1 to 1 respectively.
|
||||
* That is, value is a fixed point integer with 31 fractional bits.
|
||||
*
|
||||
* Take square root of a fixed point number:
|
||||
* fp_sqrt(x, fracbits)
|
||||
*
|
||||
* Calculate sin or cos of an angle (very fast, from a table):
|
||||
* fp14_sin(angle)
|
||||
* fp14_cos(angle)
|
||||
* where angle is a non-fixed point integer in degrees. Value
|
||||
* returned is a fixed point integer with 14 fractional bits.
|
||||
*
|
||||
* Calculate the natural log of a positive fixed point integer
|
||||
* fp16_log(x)
|
||||
* where x and the value returned are fixed point integers
|
||||
* with 16 fractional bits.
|
||||
*/
|
||||
|
||||
#ifndef _FIXEDPOINT_H_PLUGINS
|
||||
#define _FIXEDPOINT_H_PLUGINS
|
||||
|
||||
long fp_sincos(unsigned long phase, long *cos);
|
||||
long fp_sqrt(long a, unsigned int fracbits);
|
||||
long fp14_cos(int val);
|
||||
long fp14_sin(int val);
|
||||
long fp16_log(int x);
|
||||
|
||||
/* fast unsigned multiplication (16x16bit->32bit or 32x32bit->32bit,
|
||||
* whichever is faster for the architecture) */
|
||||
|
|
@ -34,3 +67,5 @@ long flog(int x);
|
|||
#else /* SH1, coldfire */
|
||||
#define FMULU(a, b) ((uint32_t) (((uint16_t) (a)) * ((uint16_t) (b))))
|
||||
#endif
|
||||
|
||||
#endif
|
||||
|
|
|
|||
|
|
@ -198,7 +198,7 @@ static void wave_table_generate(void)
|
|||
for (i=0;i<256;++i)
|
||||
{
|
||||
wave_array[i] = (unsigned char)((WAV_AMP
|
||||
* (sin_int((i * 360 * plasma_frequency) / 256))) / 16384);
|
||||
* (fp14_sin((i * 360 * plasma_frequency) / 256))) / 16384);
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -415,7 +415,7 @@ void calc_scales(void)
|
|||
for (i=1; i <= half_width; i++)
|
||||
{
|
||||
/* analog scale */
|
||||
y = (half_width/5)*flog(i*fx_log_factor);
|
||||
y = (half_width/5)*fp16_log(i*fx_log_factor);
|
||||
|
||||
/* better way of checking for negative values? */
|
||||
z = y>>16;
|
||||
|
|
@ -431,7 +431,7 @@ void calc_scales(void)
|
|||
k = nh2 - ( j * j );
|
||||
|
||||
/* fsqrt+1 seems to give a closer approximation */
|
||||
y_values[i-1] = LCD_HEIGHT - (fsqrt(k, 16)>>8) - 1;
|
||||
y_values[i-1] = LCD_HEIGHT - (fp_sqrt(k, 16)>>8) - 1;
|
||||
rb->yield();
|
||||
}
|
||||
}
|
||||
|
|
|
|||
|
|
@ -30,188 +30,11 @@
|
|||
#include "metadata.h"
|
||||
#include "debug.h"
|
||||
#include "replaygain.h"
|
||||
|
||||
/* The fixed point math routines (with the exception of fp_atof) are based
|
||||
* on oMathFP by Dan Carter (http://orbisstudios.com).
|
||||
*/
|
||||
|
||||
/* 12 bits of precision gives fairly accurate result, but still allows a
|
||||
* compact implementation. The math code supports up to 13...
|
||||
*/
|
||||
#include "fixedpoint.h"
|
||||
|
||||
#define FP_BITS (12)
|
||||
#define FP_MASK ((1 << FP_BITS) - 1)
|
||||
#define FP_ONE (1 << FP_BITS)
|
||||
#define FP_TWO (2 << FP_BITS)
|
||||
#define FP_HALF (1 << (FP_BITS - 1))
|
||||
#define FP_LN2 ( 45426 >> (16 - FP_BITS))
|
||||
#define FP_LN2_INV ( 94548 >> (16 - FP_BITS))
|
||||
#define FP_EXP_ZERO ( 10922 >> (16 - FP_BITS))
|
||||
#define FP_EXP_ONE ( -182 >> (16 - FP_BITS))
|
||||
#define FP_EXP_TWO ( 4 >> (16 - FP_BITS))
|
||||
#define FP_INF (0x7fffffff)
|
||||
#define FP_LN10 (150902 >> (16 - FP_BITS))
|
||||
|
||||
#define FP_MAX_DIGITS (4)
|
||||
#define FP_MAX_DIGITS_INT (10000)
|
||||
|
||||
#define FP_FAST_MUL_DIV
|
||||
|
||||
#ifdef FP_FAST_MUL_DIV
|
||||
|
||||
/* These macros can easily overflow, but they are good enough for our uses,
|
||||
* and saves some code.
|
||||
*/
|
||||
#define fp_mul(x, y) (((x) * (y)) >> FP_BITS)
|
||||
#define fp_div(x, y) (((x) << FP_BITS) / (y))
|
||||
|
||||
#else
|
||||
|
||||
static long fp_mul(long x, long y)
|
||||
{
|
||||
long x_neg = 0;
|
||||
long y_neg = 0;
|
||||
long rc;
|
||||
|
||||
if ((x == 0) || (y == 0))
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (x < 0)
|
||||
{
|
||||
x_neg = 1;
|
||||
x = -x;
|
||||
}
|
||||
|
||||
if (y < 0)
|
||||
{
|
||||
y_neg = 1;
|
||||
y = -y;
|
||||
}
|
||||
|
||||
rc = (((x >> FP_BITS) * (y >> FP_BITS)) << FP_BITS)
|
||||
+ (((x & FP_MASK) * (y & FP_MASK)) >> FP_BITS)
|
||||
+ ((x & FP_MASK) * (y >> FP_BITS))
|
||||
+ ((x >> FP_BITS) * (y & FP_MASK));
|
||||
|
||||
if ((x_neg ^ y_neg) == 1)
|
||||
{
|
||||
rc = -rc;
|
||||
}
|
||||
|
||||
return rc;
|
||||
}
|
||||
|
||||
static long fp_div(long x, long y)
|
||||
{
|
||||
long x_neg = 0;
|
||||
long y_neg = 0;
|
||||
long shifty;
|
||||
long rc;
|
||||
int msb = 0;
|
||||
int lsb = 0;
|
||||
|
||||
if (x == 0)
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (y == 0)
|
||||
{
|
||||
return (x < 0) ? -FP_INF : FP_INF;
|
||||
}
|
||||
|
||||
if (x < 0)
|
||||
{
|
||||
x_neg = 1;
|
||||
x = -x;
|
||||
}
|
||||
|
||||
if (y < 0)
|
||||
{
|
||||
y_neg = 1;
|
||||
y = -y;
|
||||
}
|
||||
|
||||
while ((x & BIT_N(30 - msb)) == 0)
|
||||
{
|
||||
msb++;
|
||||
}
|
||||
|
||||
while ((y & BIT_N(lsb)) == 0)
|
||||
{
|
||||
lsb++;
|
||||
}
|
||||
|
||||
shifty = FP_BITS - (msb + lsb);
|
||||
rc = ((x << msb) / (y >> lsb));
|
||||
|
||||
if (shifty > 0)
|
||||
{
|
||||
rc <<= shifty;
|
||||
}
|
||||
else
|
||||
{
|
||||
rc >>= -shifty;
|
||||
}
|
||||
|
||||
if ((x_neg ^ y_neg) == 1)
|
||||
{
|
||||
rc = -rc;
|
||||
}
|
||||
|
||||
return rc;
|
||||
}
|
||||
|
||||
#endif /* FP_FAST_MUL_DIV */
|
||||
|
||||
static long fp_exp(long x)
|
||||
{
|
||||
long k;
|
||||
long z;
|
||||
long R;
|
||||
long xp;
|
||||
|
||||
if (x == 0)
|
||||
{
|
||||
return FP_ONE;
|
||||
}
|
||||
|
||||
k = (fp_mul(abs(x), FP_LN2_INV) + FP_HALF) & ~FP_MASK;
|
||||
|
||||
if (x < 0)
|
||||
{
|
||||
k = -k;
|
||||
}
|
||||
|
||||
x -= fp_mul(k, FP_LN2);
|
||||
z = fp_mul(x, x);
|
||||
R = FP_TWO + fp_mul(z, FP_EXP_ZERO + fp_mul(z, FP_EXP_ONE
|
||||
+ fp_mul(z, FP_EXP_TWO)));
|
||||
xp = FP_ONE + fp_div(fp_mul(FP_TWO, x), R - x);
|
||||
|
||||
if (k < 0)
|
||||
{
|
||||
k = FP_ONE >> (-k >> FP_BITS);
|
||||
}
|
||||
else
|
||||
{
|
||||
k = FP_ONE << (k >> FP_BITS);
|
||||
}
|
||||
|
||||
return fp_mul(k, xp);
|
||||
}
|
||||
|
||||
static long fp_exp10(long x)
|
||||
{
|
||||
if (x == 0)
|
||||
{
|
||||
return FP_ONE;
|
||||
}
|
||||
|
||||
return fp_exp(fp_mul(FP_LN10, x));
|
||||
}
|
||||
|
||||
static long fp_atof(const char* s, int precision)
|
||||
{
|
||||
|
|
@ -300,7 +123,7 @@ static long convert_gain(long gain)
|
|||
gain = 17 * FP_ONE;
|
||||
}
|
||||
|
||||
gain = fp_exp10(gain / 20) << (24 - FP_BITS);
|
||||
gain = fp_factor(gain, FP_BITS) << (24 - FP_BITS);
|
||||
|
||||
return gain;
|
||||
}
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue