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authorDave Chapman <dave@dchapman.com>2005-02-16 19:33:19 +0000
committerDave Chapman <dave@dchapman.com>2005-02-16 19:33:19 +0000
commitaa97e4d4981d61808a558c5ab36be6d3bcc2c4f6 (patch)
treea66b2fcd87f37b26e2d4f360e6c2a9db53eb1b5b /apps/codecs/libFLAC/lpc.c
parent9b32a1988f848145d96ba2be8cba86e837196df3 (diff)
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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.c430
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 */