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FreeBSD hs32.drive.ne.jp 9.1-RELEASE FreeBSD 9.1-RELEASE #1: Wed Jan 14 12:18:08 JST 2015 root@hs32.drive.ne.jp:/sys/amd64/compile/hs32 amd64 |
| Current File : //sys/tools/sound/feeder_eq_mkfilter.awk |
#!/usr/bin/awk -f
#
# Copyright (c) 2008-2009 Ariff Abdullah <ariff@FreeBSD.org>
# 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 SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
# ANY EXPRESS 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 THE AUTHOR OR CONTRIBUTORS BE LIABLE
# FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
# OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
# HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
# OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
# SUCH DAMAGE.
#
# $FreeBSD: release/9.1.0/sys/tools/sound/feeder_eq_mkfilter.awk 193889 2009-06-10 06:49:45Z ariff $
#
#
# Biquad coefficients generator for Parametric Software Equalizer. Not as ugly
# as 'feeder_rate_mkfilter.awk'
#
# Based on:
#
# "Cookbook formulae for audio EQ biquad filter coefficients"
# by Robert Bristow-Johnson <rbj@audioimagination.com>
#
# - http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt
#
#
# Some basic Math functions.
#
function abs(x)
{
return (((x < 0) ? -x : x) + 0);
}
function fabs(x)
{
return (((x < 0.0) ? -x : x) + 0.0);
}
function floor(x, r)
{
r = int(x);
if (r > x)
r--;
return (r + 0);
}
function pow(x, y)
{
return (exp(1.0 * y * log(1.0 * x)));
}
#
# What the hell...
#
function shl(x, y)
{
while (y > 0) {
x *= 2;
y--;
}
return (x);
}
function feedeq_w0(fc, rate)
{
return ((2.0 * M_PI * fc) / (1.0 * rate));
}
function feedeq_A(gain, A)
{
if (FEEDEQ_TYPE == FEEDEQ_TYPE_PEQ || FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF)
A = pow(10, gain / 40.0);
else
A = sqrt(pow(10, gain / 20.0));
return (A);
}
function feedeq_alpha(w0, A, QS)
{
if (FEEDEQ_TYPE == FEEDEQ_TYPE_PEQ)
alpha = sin(w0) / (2.0 * QS);
else if (FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF)
alpha = sin(w0) * 0.5 * sqrt(A + ((1.0 / A) * \
((1.0 / QS) - 1.0)) + 2.0);
else
alpha = 0.0;
return (alpha);
}
function feedeq_fx_floor(v, r)
{
if (fabs(v) < fabs(smallest))
smallest = v;
if (fabs(v) > fabs(largest))
largest = v;
r = floor((v * FEEDEQ_COEFF_ONE) + 0.5);
if (r < INT32_MIN || r > INT32_MAX)
printf("\n#error overflow v=%f, " \
"please reduce FEEDEQ_COEFF_SHIFT\n", v);
return (r);
}
function feedeq_gen_biquad_coeffs(coeffs, rate, gain, \
w0, A, alpha, a0, a1, a2, b0, b1, b2)
{
w0 = feedeq_w0(FEEDEQ_TREBLE_SFREQ, 1.0 * rate);
A = feedeq_A(1.0 * gain);
alpha = feedeq_alpha(w0, A, FEEDEQ_TREBLE_SLOPE);
if (FEEDEQ_TYPE == FEEDEQ_TYPE_PEQ) {
b0 = 1.0 + (alpha * A);
b1 = -2.0 * cos(w0);
b2 = 1.0 - (alpha * A);
a0 = 1.0 + (alpha / A);
a1 = -2.0 * cos(w0);
a2 = 1.0 - (alpha / A);
} else if (FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF) {
b0 = A*((A+1.0)+((A-1.0)*cos(w0))+(2.0*sqrt(A)*alpha));
b1 = -2.0*A*((A-1.0)+((A+1.0)*cos(w0)) );
b2 = A*((A+1.0)+((A-1.0)*cos(w0))-(2.0*sqrt(A)*alpha));
a0 = (A+1.0)-((A-1.0)*cos(w0))+(2.0*sqrt(A)*alpha );
a1 = 2.0 * ((A-1.0)-((A+1.0)*cos(w0)) );
a2 = (A+1.0)-((A-1.0)*cos(w0))-(2.0*sqrt(A)*alpha );
} else
b0 = b1 = b2 = a0 = a1 = a2 = 0.0;
b0 /= a0;
b1 /= a0;
b2 /= a0;
a1 /= a0;
a2 /= a0;
coeffs["treble", gain, 0] = feedeq_fx_floor(a0);
coeffs["treble", gain, 1] = feedeq_fx_floor(a1);
coeffs["treble", gain, 2] = feedeq_fx_floor(a2);
coeffs["treble", gain, 3] = feedeq_fx_floor(b0);
coeffs["treble", gain, 4] = feedeq_fx_floor(b1);
coeffs["treble", gain, 5] = feedeq_fx_floor(b2);
w0 = feedeq_w0(FEEDEQ_BASS_SFREQ, 1.0 * rate);
A = feedeq_A(1.0 * gain);
alpha = feedeq_alpha(w0, A, FEEDEQ_BASS_SLOPE);
if (FEEDEQ_TYPE == FEEDEQ_TYPE_PEQ) {
b0 = 1.0 + (alpha * A);
b1 = -2.0 * cos(w0);
b2 = 1.0 - (alpha * A);
a0 = 1.0 + (alpha / A);
a1 = -2.0 * cos(w0);
a2 = 1.0 - (alpha / A);
} else if (FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF) {
b0 = A*((A+1.0)-((A-1.0)*cos(w0))+(2.0*sqrt(A)*alpha));
b1 = 2.0*A*((A-1.0)-((A+1.0)*cos(w0)) );
b2 = A*((A+1.0)-((A-1.0)*cos(w0))-(2.0*sqrt(A)*alpha));
a0 = (A+1.0)+((A-1.0)*cos(w0))+(2.0*sqrt(A)*alpha );
a1 = -2.0 * ((A-1.0)+((A+1.0)*cos(w0)) );
a2 = (A+1.0)+((A-1.0)*cos(w0))-(2.0*sqrt(A)*alpha );
} else
b0 = b1 = b2 = a0 = a1 = a2 = 0.0;
b0 /= a0;
b1 /= a0;
b2 /= a0;
a1 /= a0;
a2 /= a0;
coeffs["bass", gain, 0] = feedeq_fx_floor(a0);
coeffs["bass", gain, 1] = feedeq_fx_floor(a1);
coeffs["bass", gain, 2] = feedeq_fx_floor(a2);
coeffs["bass", gain, 3] = feedeq_fx_floor(b0);
coeffs["bass", gain, 4] = feedeq_fx_floor(b1);
coeffs["bass", gain, 5] = feedeq_fx_floor(b2);
}
function feedeq_gen_freq_coeffs(frq, g, i, v)
{
coeffs[0] = 0;
for (g = (FEEDEQ_GAIN_MIN * FEEDEQ_GAIN_DIV); \
g <= (FEEDEQ_GAIN_MAX * FEEDEQ_GAIN_DIV); \
g += FEEDEQ_GAIN_STEP) {
feedeq_gen_biquad_coeffs(coeffs, frq, \
g * FEEDEQ_GAIN_RECIPROCAL);
}
printf("\nstatic struct feed_eq_coeff eq_%d[%d] " \
"= {\n", frq, FEEDEQ_LEVELS);
for (g = (FEEDEQ_GAIN_MIN * FEEDEQ_GAIN_DIV); \
g <= (FEEDEQ_GAIN_MAX * FEEDEQ_GAIN_DIV); \
g += FEEDEQ_GAIN_STEP) {
printf(" {{ ");
for (i = 1; i < 6; i++) {
v = coeffs["treble", g * FEEDEQ_GAIN_RECIPROCAL, i];
printf("%s0x%08x%s", \
(v < 0) ? "-" : " ", abs(v), \
(i == 5) ? " " : ", ");
}
printf("},\n { ");
for (i = 1; i < 6; i++) {
v = coeffs["bass", g * FEEDEQ_GAIN_RECIPROCAL, i];
printf("%s0x%08x%s", \
(v < 0) ? "-" : " ", abs(v), \
(i == 5) ? " " : ", ");
}
printf("}}%s\n", \
(g < (FEEDEQ_GAIN_MAX * FEEDEQ_GAIN_DIV)) ? "," : "");
}
printf("};\n");
}
function feedeq_calc_preamp(norm, gain, shift, mul, bit, attn)
{
shift = FEEDEQ_PREAMP_SHIFT;
if (floor(FEEDEQ_PREAMP_BITDB) == 6 && \
(1.0 * floor(gain)) == gain && (floor(gain) % 6) == 0) {
mul = 1;
shift = floor(floor(gain) / 6);
} else {
bit = 32.0 - ((1.0 * gain) / (1.0 * FEEDEQ_PREAMP_BITDB));
attn = pow(2.0, bit) / pow(2.0, 32.0);
mul = floor((attn * FEEDEQ_PREAMP_ONE) + 0.5);
}
while ((mul % 2) == 0 && shift > 0) {
mul = floor(mul / 2);
shift--;
}
norm["mul"] = mul;
norm["shift"] = shift;
}
BEGIN {
M_PI = atan2(0.0, -1.0);
INT32_MAX = 1 + ((shl(1, 30) - 1) * 2);
INT32_MIN = -1 - INT32_MAX;
FEEDEQ_TYPE_PEQ = 0;
FEEDEQ_TYPE_SHELF = 1;
FEEDEQ_TYPE = FEEDEQ_TYPE_PEQ;
FEEDEQ_COEFF_SHIFT = 24;
FEEDEQ_COEFF_ONE = shl(1, FEEDEQ_COEFF_SHIFT);
FEEDEQ_PREAMP_SHIFT = 31;
FEEDEQ_PREAMP_ONE = shl(1, FEEDEQ_PREAMP_SHIFT);
FEEDEQ_PREAMP_BITDB = 6; # 20.0 * (log(2.0) / log(10.0));
FEEDEQ_GAIN_DIV = 10;
i = 0;
j = 1;
while (j < FEEDEQ_GAIN_DIV) {
j *= 2;
i++;
}
FEEDEQ_GAIN_SHIFT = i;
FEEDEQ_GAIN_FMASK = shl(1, FEEDEQ_GAIN_SHIFT) - 1;
FEEDEQ_GAIN_RECIPROCAL = 1.0 / FEEDEQ_GAIN_DIV;
if (ARGC == 2) {
i = 1;
split(ARGV[1], arg, ":");
while (match(arg[i], "^[^0-9]*$")) {
if (arg[i] == "PEQ") {
FEEDEQ_TYPE = FEEDEQ_TYPE_PEQ;
} else if (arg[i] == "SHELF") {
FEEDEQ_TYPE = FEEDEQ_TYPE_SHELF;
}
i++;
}
split(arg[i++], subarg, ",");
FEEDEQ_TREBLE_SFREQ = 1.0 * subarg[1];
FEEDEQ_TREBLE_SLOPE = 1.0 * subarg[2];
split(arg[i++], subarg, ",");
FEEDEQ_BASS_SFREQ = 1.0 * subarg[1];
FEEDEQ_BASS_SLOPE = 1.0 * subarg[2];
split(arg[i++], subarg, ",");
FEEDEQ_GAIN_MIN = floor(1.0 * subarg[1]);
FEEDEQ_GAIN_MAX = floor(1.0 * subarg[2]);
if (length(subarg) > 2) {
j = floor(1.0 * FEEDEQ_GAIN_DIV * subarg[3]);
if (j < 2)
j = 1;
else if (j < 5)
j = 2;
else if (j < 10)
j = 5;
else
j = 10;
if (j > FEEDEQ_GAIN_DIV || (FEEDEQ_GAIN_DIV % j) != 0)
j = FEEDEQ_GAIN_DIV;
FEEDEQ_GAIN_STEP = j;
} else
FEEDEQ_GAIN_STEP = FEEDEQ_GAIN_DIV;
split(arg[i], subarg, ",");
for (i = 1; i <= length(subarg); i++)
allfreq[i - 1] = floor(1.0 * subarg[i]);
} else {
FEEDEQ_TREBLE_SFREQ = 16000.0;
FEEDEQ_TREBLE_SLOPE = 0.25;
FEEDEQ_BASS_SFREQ = 62.0;
FEEDEQ_BASS_SLOPE = 0.25;
FEEDEQ_GAIN_MIN = -9;
FEEDEQ_GAIN_MAX = 9;
FEEDEQ_GAIN_STEP = FEEDEQ_GAIN_DIV;
allfreq[0] = 44100;
allfreq[1] = 48000;
allfreq[2] = 88200;
allfreq[3] = 96000;
allfreq[4] = 176400;
allfreq[5] = 192000;
}
FEEDEQ_LEVELS = ((FEEDEQ_GAIN_MAX - FEEDEQ_GAIN_MIN) * \
floor(FEEDEQ_GAIN_DIV / FEEDEQ_GAIN_STEP)) + 1;
FEEDEQ_ERR_CLIP = 0;
smallest = 10.000000;
largest = 0.000010;
printf("#ifndef _FEEDER_EQ_GEN_H_\n");
printf("#define _FEEDER_EQ_GEN_H_\n\n");
printf("/*\n");
printf(" * Generated using feeder_eq_mkfilter.awk, heaven, wind and awesome.\n");
printf(" *\n");
printf(" * DO NOT EDIT!\n");
printf(" */\n\n");
printf("/*\n");
printf(" * EQ: %s\n", (FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF) ? \
"Shelving" : "Peaking EQ");
printf(" */\n");
printf("#define FEEDER_EQ_PRESETS\t\"");
printf("%s:%d,%.4f,%d,%.4f:%d,%d,%.1f:", \
(FEEDEQ_TYPE == FEEDEQ_TYPE_SHELF) ? "SHELF" : "PEQ", \
FEEDEQ_TREBLE_SFREQ, FEEDEQ_TREBLE_SLOPE, \
FEEDEQ_BASS_SFREQ, FEEDEQ_BASS_SLOPE, \
FEEDEQ_GAIN_MIN, FEEDEQ_GAIN_MAX, \
FEEDEQ_GAIN_STEP * FEEDEQ_GAIN_RECIPROCAL);
for (i = 0; i < length(allfreq); i++) {
if (i != 0)
printf(",");
printf("%d", allfreq[i]);
}
printf("\"\n\n");
printf("struct feed_eq_coeff_tone {\n");
printf("\tint32_t a1, a2;\n");
printf("\tint32_t b0, b1, b2;\n");
printf("};\n\n");
printf("struct feed_eq_coeff {\n");
#printf("\tstruct {\n");
#printf("\t\tint32_t a1, a2;\n");
#printf("\t\tint32_t b0, b1, b2;\n");
#printf("\t} treble, bass;\n");
printf("\tstruct feed_eq_coeff_tone treble;\n");
printf("\tstruct feed_eq_coeff_tone bass;\n");
#printf("\tstruct {\n");
#printf("\t\tint32_t a1, a2;\n");
#printf("\t\tint32_t b0, b1, b2;\n");
#printf("\t} bass;\n");
printf("};\n");
for (i = 0; i < length(allfreq); i++)
feedeq_gen_freq_coeffs(allfreq[i]);
printf("\n");
printf("static const struct {\n");
printf("\tuint32_t rate;\n");
printf("\tstruct feed_eq_coeff *coeff;\n");
printf("} feed_eq_tab[] = {\n");
for (i = 0; i < length(allfreq); i++) {
printf("\t{ %6d, eq_%-6d },\n", allfreq[i], allfreq[i]);
}
printf("};\n");
printf("\n#define FEEDEQ_RATE_MIN\t\t%d\n", allfreq[0]);
printf("#define FEEDEQ_RATE_MAX\t\t%d\n", allfreq[length(allfreq) - 1]);
printf("\n#define FEEDEQ_TAB_SIZE\t\t\t\t\t\t\t\\\n");
printf("\t((int32_t)(sizeof(feed_eq_tab) / sizeof(feed_eq_tab[0])))\n");
printf("\nstatic const struct {\n");
printf("\tint32_t mul, shift;\n");
printf("} feed_eq_preamp[] = {\n");
for (i = (FEEDEQ_GAIN_MAX * 2 * FEEDEQ_GAIN_DIV); i >= 0; \
i -= FEEDEQ_GAIN_STEP) {
feedeq_calc_preamp(norm, i * FEEDEQ_GAIN_RECIPROCAL);
dbgain = ((FEEDEQ_GAIN_MAX * FEEDEQ_GAIN_DIV) - i) * \
FEEDEQ_GAIN_RECIPROCAL;
printf("\t{ 0x%08x, 0x%08x },\t/* %+5.1f dB */\n", \
norm["mul"], norm["shift"], dbgain);
}
printf("};\n");
printf("\n#define FEEDEQ_GAIN_MIN\t\t%d", FEEDEQ_GAIN_MIN);
printf("\n#define FEEDEQ_GAIN_MAX\t\t%d\n", FEEDEQ_GAIN_MAX);
printf("\n#define FEEDEQ_GAIN_SHIFT\t%d\n", FEEDEQ_GAIN_SHIFT);
printf("#define FEEDEQ_GAIN_DIV\t\t%d\n", FEEDEQ_GAIN_DIV);
printf("#define FEEDEQ_GAIN_FMASK\t0x%08x\n", FEEDEQ_GAIN_FMASK);
printf("#define FEEDEQ_GAIN_STEP\t%d\n", FEEDEQ_GAIN_STEP);
#printf("\n#define FEEDEQ_PREAMP_MIN\t-%d\n", \
# shl(FEEDEQ_GAIN_MAX, FEEDEQ_GAIN_SHIFT));
#printf("#define FEEDEQ_PREAMP_MAX\t%d\n", \
# shl(FEEDEQ_GAIN_MAX, FEEDEQ_GAIN_SHIFT));
printf("\n#define FEEDEQ_COEFF_SHIFT\t%d\n", FEEDEQ_COEFF_SHIFT);
#feedeq_calc_preamp(norm, FEEDEQ_GAIN_MAX);
#printf("#define FEEDEQ_COEFF_NORM(v)\t(");
#if (norm["mul"] == 1)
# printf("(v) >> %d", norm["shift"]);
#else
# printf("(0x%xLL * (v)) >> %d", norm["mul"], norm["shift"]);
#printf(")\n");
#printf("\n#define FEEDEQ_LEVELS\t\t%d\n", FEEDEQ_LEVELS);
if (FEEDEQ_ERR_CLIP != 0)
printf("\n#define FEEDEQ_ERR_CLIP\t\t%d\n", FEEDEQ_ERR_CLIP);
printf("\n/*\n");
printf(" * volume level mapping (0 - 100):\n");
printf(" *\n");
for (i = 0; i <= 100; i++) {
ind = floor((i * FEEDEQ_LEVELS) / 100);
if (ind >= FEEDEQ_LEVELS)
ind = FEEDEQ_LEVELS - 1;
printf(" *\t%3d -> %3d (%+5.1f dB)\n", \
i, ind, FEEDEQ_GAIN_MIN + \
(ind * (FEEDEQ_GAIN_RECIPROCAL * FEEDEQ_GAIN_STEP)));
}
printf(" */\n");
printf("\n/*\n * smallest: %.32f\n * largest: %.32f\n */\n", \
smallest, largest);
printf("\n#endif\t/* !_FEEDER_EQ_GEN_H_ */\n");
}