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| author | Dave Chapman <dave@dchapman.com> | 2005-02-16 19:33:19 +0000 |
|---|---|---|
| committer | Dave Chapman <dave@dchapman.com> | 2005-02-16 19:33:19 +0000 |
| commit | aa97e4d4981d61808a558c5ab36be6d3bcc2c4f6 (patch) | |
| tree | a66b2fcd87f37b26e2d4f360e6c2a9db53eb1b5b /apps/codecs/libFLAC/lpc.c | |
| parent | 9b32a1988f848145d96ba2be8cba86e837196df3 (diff) | |
| download | rockbox-aa97e4d4981d61808a558c5ab36be6d3bcc2c4f6.zip rockbox-aa97e4d4981d61808a558c5ab36be6d3bcc2c4f6.tar.gz rockbox-aa97e4d4981d61808a558c5ab36be6d3bcc2c4f6.tar.bz2 rockbox-aa97e4d4981d61808a558c5ab36be6d3bcc2c4f6.tar.xz | |
Initial import of libFLAC from flac-1.1.2.tar.gz
git-svn-id: svn://svn.rockbox.org/rockbox/trunk@5983 a1c6a512-1295-4272-9138-f99709370657
Diffstat (limited to 'apps/codecs/libFLAC/lpc.c')
| -rw-r--r-- | apps/codecs/libFLAC/lpc.c | 430 |
1 files changed, 430 insertions, 0 deletions
diff --git a/apps/codecs/libFLAC/lpc.c b/apps/codecs/libFLAC/lpc.c new file mode 100644 index 0000000..b846db5 --- /dev/null +++ b/apps/codecs/libFLAC/lpc.c @@ -0,0 +1,430 @@ +/* libFLAC - Free Lossless Audio Codec library + * Copyright (C) 2000,2001,2002,2003,2004,2005 Josh Coalson + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * - Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * - 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. + * + * - Neither the name of the Xiph.org Foundation nor the names of its + * contributors may be used to endorse or promote products derived from + * this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 FOUNDATION 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. + */ + +#include <math.h> +#include "FLAC/assert.h" +#include "FLAC/format.h" +#include "private/bitmath.h" +#include "private/lpc.h" +#if defined DEBUG || defined FLAC__OVERFLOW_DETECT || defined FLAC__OVERFLOW_DETECT_VERBOSE +#include <stdio.h> +#endif + +#ifndef FLAC__INTEGER_ONLY_LIBRARY + +#ifndef M_LN2 +/* math.h in VC++ doesn't seem to have this (how Microsoft is that?) */ +#define M_LN2 0.69314718055994530942 +#endif + +void FLAC__lpc_compute_autocorrelation(const FLAC__real data[], unsigned data_len, unsigned lag, FLAC__real autoc[]) +{ + /* a readable, but slower, version */ +#if 0 + FLAC__real d; + unsigned i; + + FLAC__ASSERT(lag > 0); + FLAC__ASSERT(lag <= data_len); + + while(lag--) { + for(i = lag, d = 0.0; i < data_len; i++) + d += data[i] * data[i - lag]; + autoc[lag] = d; + } +#endif + + /* + * this version tends to run faster because of better data locality + * ('data_len' is usually much larger than 'lag') + */ + FLAC__real d; + unsigned sample, coeff; + const unsigned limit = data_len - lag; + + FLAC__ASSERT(lag > 0); + FLAC__ASSERT(lag <= data_len); + + for(coeff = 0; coeff < lag; coeff++) + autoc[coeff] = 0.0; + for(sample = 0; sample <= limit; sample++) { + d = data[sample]; + for(coeff = 0; coeff < lag; coeff++) + autoc[coeff] += d * data[sample+coeff]; + } + for(; sample < data_len; sample++) { + d = data[sample]; + for(coeff = 0; coeff < data_len - sample; coeff++) + autoc[coeff] += d * data[sample+coeff]; + } +} + +void FLAC__lpc_compute_lp_coefficients(const FLAC__real autoc[], unsigned max_order, FLAC__real lp_coeff[][FLAC__MAX_LPC_ORDER], FLAC__double error[]) +{ + unsigned i, j; + FLAC__double r, err, ref[FLAC__MAX_LPC_ORDER], lpc[FLAC__MAX_LPC_ORDER]; + + FLAC__ASSERT(0 < max_order); + FLAC__ASSERT(max_order <= FLAC__MAX_LPC_ORDER); + FLAC__ASSERT(autoc[0] != 0.0); + + err = autoc[0]; + + for(i = 0; i < max_order; i++) { + /* Sum up this iteration's reflection coefficient. */ + r = -autoc[i+1]; + for(j = 0; j < i; j++) + r -= lpc[j] * autoc[i-j]; + ref[i] = (r/=err); + + /* Update LPC coefficients and total error. */ + lpc[i]=r; + for(j = 0; j < (i>>1); j++) { + FLAC__double tmp = lpc[j]; + lpc[j] += r * lpc[i-1-j]; + lpc[i-1-j] += r * tmp; + } + if(i & 1) + lpc[j] += lpc[j] * r; + + err *= (1.0 - r * r); + + /* save this order */ + for(j = 0; j <= i; j++) + lp_coeff[i][j] = (FLAC__real)(-lpc[j]); /* negate FIR filter coeff to get predictor coeff */ + error[i] = err; + } +} + +int FLAC__lpc_quantize_coefficients(const FLAC__real lp_coeff[], unsigned order, unsigned precision, FLAC__int32 qlp_coeff[], int *shift) +{ + unsigned i; + FLAC__double d, cmax = -1e32; + FLAC__int32 qmax, qmin; + const int max_shiftlimit = (1 << (FLAC__SUBFRAME_LPC_QLP_SHIFT_LEN-1)) - 1; + const int min_shiftlimit = -max_shiftlimit - 1; + + FLAC__ASSERT(precision > 0); + FLAC__ASSERT(precision >= FLAC__MIN_QLP_COEFF_PRECISION); + + /* drop one bit for the sign; from here on out we consider only |lp_coeff[i]| */ + precision--; + qmax = 1 << precision; + qmin = -qmax; + qmax--; + + for(i = 0; i < order; i++) { + if(lp_coeff[i] == 0.0) + continue; + d = fabs(lp_coeff[i]); + if(d > cmax) + cmax = d; + } +redo_it: + if(cmax <= 0.0) { + /* => coefficients are all 0, which means our constant-detect didn't work */ + return 2; + } + else { + int log2cmax; + + (void)frexp(cmax, &log2cmax); + log2cmax--; + *shift = (int)precision - log2cmax - 1; + + if(*shift < min_shiftlimit || *shift > max_shiftlimit) { +#if 0 + /*@@@ this does not seem to help at all, but was not extensively tested either: */ + if(*shift > max_shiftlimit) + *shift = max_shiftlimit; + else +#endif + return 1; + } + } + + if(*shift >= 0) { + for(i = 0; i < order; i++) { + qlp_coeff[i] = (FLAC__int32)floor((FLAC__double)lp_coeff[i] * (FLAC__double)(1 << *shift)); + + /* double-check the result */ + if(qlp_coeff[i] > qmax || qlp_coeff[i] < qmin) { +#ifdef FLAC__OVERFLOW_DETECT + fprintf(stderr,"FLAC__lpc_quantize_coefficients: compensating for overflow, qlp_coeff[%u]=%d, lp_coeff[%u]=%f, cmax=%f, precision=%u, shift=%d, q=%f, f(q)=%f\n", i, qlp_coeff[i], i, lp_coeff[i], cmax, precision, *shift, (FLAC__double)lp_coeff[i] * (FLAC__double)(1 << *shift), floor((FLAC__double)lp_coeff[i] * (FLAC__double)(1 << *shift))); +#endif + cmax *= 2.0; + goto redo_it; + } + } + } + else { /* (*shift < 0) */ + const int nshift = -(*shift); +#ifdef DEBUG + fprintf(stderr,"FLAC__lpc_quantize_coefficients: negative shift = %d\n", *shift); +#endif + for(i = 0; i < order; i++) { + qlp_coeff[i] = (FLAC__int32)floor((FLAC__double)lp_coeff[i] / (FLAC__double)(1 << nshift)); + + /* double-check the result */ + if(qlp_coeff[i] > qmax || qlp_coeff[i] < qmin) { +#ifdef FLAC__OVERFLOW_DETECT + fprintf(stderr,"FLAC__lpc_quantize_coefficients: compensating for overflow, qlp_coeff[%u]=%d, lp_coeff[%u]=%f, cmax=%f, precision=%u, shift=%d, q=%f, f(q)=%f\n", i, qlp_coeff[i], i, lp_coeff[i], cmax, precision, *shift, (FLAC__double)lp_coeff[i] / (FLAC__double)(1 << nshift), floor((FLAC__double)lp_coeff[i] / (FLAC__double)(1 << nshift))); +#endif + cmax *= 2.0; + goto redo_it; + } + } + } + + return 0; +} + +void FLAC__lpc_compute_residual_from_qlp_coefficients(const FLAC__int32 *data, unsigned data_len, const FLAC__int32 qlp_coeff[], unsigned order, int lp_quantization, FLAC__int32 residual[]) +{ +#ifdef FLAC__OVERFLOW_DETECT + FLAC__int64 sumo; +#endif + unsigned i, j; + FLAC__int32 sum; + const FLAC__int32 *history; + +#ifdef FLAC__OVERFLOW_DETECT_VERBOSE + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients: data_len=%d, order=%u, lpq=%d",data_len,order,lp_quantization); + for(i=0;i<order;i++) + fprintf(stderr,", q[%u]=%d",i,qlp_coeff[i]); + fprintf(stderr,"\n"); +#endif + FLAC__ASSERT(order > 0); + + for(i = 0; i < data_len; i++) { +#ifdef FLAC__OVERFLOW_DETECT + sumo = 0; +#endif + sum = 0; + history = data; + for(j = 0; j < order; j++) { + sum += qlp_coeff[j] * (*(--history)); +#ifdef FLAC__OVERFLOW_DETECT + sumo += (FLAC__int64)qlp_coeff[j] * (FLAC__int64)(*history); +#if defined _MSC_VER + if(sumo > 2147483647I64 || sumo < -2147483648I64) + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients: OVERFLOW, i=%u, j=%u, c=%d, d=%d, sumo=%I64d\n",i,j,qlp_coeff[j],*history,sumo); +#else + if(sumo > 2147483647ll || sumo < -2147483648ll) + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients: OVERFLOW, i=%u, j=%u, c=%d, d=%d, sumo=%lld\n",i,j,qlp_coeff[j],*history,sumo); +#endif +#endif + } + *(residual++) = *(data++) - (sum >> lp_quantization); + } + + /* Here's a slower but clearer version: + for(i = 0; i < data_len; i++) { + sum = 0; + for(j = 0; j < order; j++) + sum += qlp_coeff[j] * data[i-j-1]; + residual[i] = data[i] - (sum >> lp_quantization); + } + */ +} + +void FLAC__lpc_compute_residual_from_qlp_coefficients_wide(const FLAC__int32 *data, unsigned data_len, const FLAC__int32 qlp_coeff[], unsigned order, int lp_quantization, FLAC__int32 residual[]) +{ + unsigned i, j; + FLAC__int64 sum; + const FLAC__int32 *history; + +#ifdef FLAC__OVERFLOW_DETECT_VERBOSE + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients_wide: data_len=%d, order=%u, lpq=%d",data_len,order,lp_quantization); + for(i=0;i<order;i++) + fprintf(stderr,", q[%u]=%d",i,qlp_coeff[i]); + fprintf(stderr,"\n"); +#endif + FLAC__ASSERT(order > 0); + + for(i = 0; i < data_len; i++) { + sum = 0; + history = data; + for(j = 0; j < order; j++) + sum += (FLAC__int64)qlp_coeff[j] * (FLAC__int64)(*(--history)); +#ifdef FLAC__OVERFLOW_DETECT + if(FLAC__bitmath_silog2_wide(sum >> lp_quantization) > 32) { + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients_wide: OVERFLOW, i=%u, sum=%lld\n", i, sum >> lp_quantization); + break; + } + if(FLAC__bitmath_silog2_wide((FLAC__int64)(*data) - (sum >> lp_quantization)) > 32) { + fprintf(stderr,"FLAC__lpc_compute_residual_from_qlp_coefficients_wide: OVERFLOW, i=%u, data=%d, sum=%lld, residual=%lld\n", i, *data, sum >> lp_quantization, (FLAC__int64)(*data) - (sum >> lp_quantization)); + break; + } +#endif + *(residual++) = *(data++) - (FLAC__int32)(sum >> lp_quantization); + } +} + +#endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ + +void FLAC__lpc_restore_signal(const FLAC__int32 residual[], unsigned data_len, const FLAC__int32 qlp_coeff[], unsigned order, int lp_quantization, FLAC__int32 data[]) +{ +#ifdef FLAC__OVERFLOW_DETECT + FLAC__int64 sumo; +#endif + unsigned i, j; + FLAC__int32 sum; + const FLAC__int32 *history; + +#ifdef FLAC__OVERFLOW_DETECT_VERBOSE + fprintf(stderr,"FLAC__lpc_restore_signal: data_len=%d, order=%u, lpq=%d",data_len,order,lp_quantization); + for(i=0;i<order;i++) + fprintf(stderr,", q[%u]=%d",i,qlp_coeff[i]); + fprintf(stderr,"\n"); +#endif + FLAC__ASSERT(order > 0); + + for(i = 0; i < data_len; i++) { +#ifdef FLAC__OVERFLOW_DETECT + sumo = 0; +#endif + sum = 0; + history = data; + for(j = 0; j < order; j++) { + sum += qlp_coeff[j] * (*(--history)); +#ifdef FLAC__OVERFLOW_DETECT + sumo += (FLAC__int64)qlp_coeff[j] * (FLAC__int64)(*history); +#if defined _MSC_VER + if(sumo > 2147483647I64 || sumo < -2147483648I64) + fprintf(stderr,"FLAC__lpc_restore_signal: OVERFLOW, i=%u, j=%u, c=%d, d=%d, sumo=%I64d\n",i,j,qlp_coeff[j],*history,sumo); +#else + if(sumo > 2147483647ll || sumo < -2147483648ll) + fprintf(stderr,"FLAC__lpc_restore_signal: OVERFLOW, i=%u, j=%u, c=%d, d=%d, sumo=%lld\n",i,j,qlp_coeff[j],*history,sumo); +#endif +#endif + } + *(data++) = *(residual++) + (sum >> lp_quantization); + } + + /* Here's a slower but clearer version: + for(i = 0; i < data_len; i++) { + sum = 0; + for(j = 0; j < order; j++) + sum += qlp_coeff[j] * data[i-j-1]; + data[i] = residual[i] + (sum >> lp_quantization); + } + */ +} + +void FLAC__lpc_restore_signal_wide(const FLAC__int32 residual[], unsigned data_len, const FLAC__int32 qlp_coeff[], unsigned order, int lp_quantization, FLAC__int32 data[]) +{ + unsigned i, j; + FLAC__int64 sum; + const FLAC__int32 *history; + +#ifdef FLAC__OVERFLOW_DETECT_VERBOSE + fprintf(stderr,"FLAC__lpc_restore_signal_wide: data_len=%d, order=%u, lpq=%d",data_len,order,lp_quantization); + for(i=0;i<order;i++) + fprintf(stderr,", q[%u]=%d",i,qlp_coeff[i]); + fprintf(stderr,"\n"); +#endif + FLAC__ASSERT(order > 0); + + for(i = 0; i < data_len; i++) { + sum = 0; + history = data; + for(j = 0; j < order; j++) + sum += (FLAC__int64)qlp_coeff[j] * (FLAC__int64)(*(--history)); +#ifdef FLAC__OVERFLOW_DETECT + if(FLAC__bitmath_silog2_wide(sum >> lp_quantization) > 32) { + fprintf(stderr,"FLAC__lpc_restore_signal_wide: OVERFLOW, i=%u, sum=%lld\n", i, sum >> lp_quantization); + break; + } + if(FLAC__bitmath_silog2_wide((FLAC__int64)(*residual) + (sum >> lp_quantization)) > 32) { + fprintf(stderr,"FLAC__lpc_restore_signal_wide: OVERFLOW, i=%u, residual=%d, sum=%lld, data=%lld\n", i, *residual, sum >> lp_quantization, (FLAC__int64)(*residual) + (sum >> lp_quantization)); + break; + } +#endif + *(data++) = *(residual++) + (FLAC__int32)(sum >> lp_quantization); + } +} + +#ifndef FLAC__INTEGER_ONLY_LIBRARY + +FLAC__double FLAC__lpc_compute_expected_bits_per_residual_sample(FLAC__double lpc_error, unsigned total_samples) +{ + FLAC__double error_scale; + + FLAC__ASSERT(total_samples > 0); + + error_scale = 0.5 * M_LN2 * M_LN2 / (FLAC__double)total_samples; + + return FLAC__lpc_compute_expected_bits_per_residual_sample_with_error_scale(lpc_error, error_scale); +} + +FLAC__double FLAC__lpc_compute_expected_bits_per_residual_sample_with_error_scale(FLAC__double lpc_error, FLAC__double error_scale) +{ + if(lpc_error > 0.0) { + FLAC__double bps = (FLAC__double)0.5 * log(error_scale * lpc_error) / M_LN2; + if(bps >= 0.0) + return bps; + else + return 0.0; + } + else if(lpc_error < 0.0) { /* error should not be negative but can happen due to inadequate floating-point resolution */ + return 1e32; + } + else { + return 0.0; + } +} + +unsigned FLAC__lpc_compute_best_order(const FLAC__double lpc_error[], unsigned max_order, unsigned total_samples, unsigned bits_per_signal_sample) +{ + unsigned order, best_order; + FLAC__double best_bits, tmp_bits, error_scale; + + FLAC__ASSERT(max_order > 0); + FLAC__ASSERT(total_samples > 0); + + error_scale = 0.5 * M_LN2 * M_LN2 / (FLAC__double)total_samples; + + best_order = 0; + best_bits = FLAC__lpc_compute_expected_bits_per_residual_sample_with_error_scale(lpc_error[0], error_scale) * (FLAC__double)total_samples; + + for(order = 1; order < max_order; order++) { + tmp_bits = FLAC__lpc_compute_expected_bits_per_residual_sample_with_error_scale(lpc_error[order], error_scale) * (FLAC__double)(total_samples - order) + (FLAC__double)(order * bits_per_signal_sample); + if(tmp_bits < best_bits) { + best_order = order; + best_bits = tmp_bits; + } + } + + return best_order+1; /* +1 since index of lpc_error[] is order-1 */ +} + +#endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ |