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+/*
+ Copyright 1992, 1993, 1994 by Jutta Degener and Carsten Bormann,
+ Technische Universitaet Berlin
+
+ Any use of this software is permitted provided that this notice is not
+ removed and that neither the authors nor the Technische Universitaet Berlin
+ are deemed to have made any representations as to the suitability of this
+ software for any purpose nor are held responsible for any defects of
+ this software. THERE IS ABSOLUTELY NO WARRANTY FOR THIS SOFTWARE.
+
+ As a matter of courtesy, the authors request to be informed about uses
+ this software has found, about bugs in this software, and about any
+ improvements that may be of general interest.
+
+ Berlin, 28.11.1994
+ Jutta Degener
+ Carsten Bormann
+
+
+ Code modified by Jean-Marc Valin
+
+ Speex License:
+
+ 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.
+*/
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include "lpc.h"
+
+#ifdef BFIN_ASM
+#include "lpc_bfin.h"
+#endif
+
+/* LPC analysis
+ *
+ * The next two functions calculate linear prediction coefficients
+ * and/or the related reflection coefficients from the first P_MAX+1
+ * values of the autocorrelation function.
+ */
+
+/* Invented by N. Levinson in 1947, modified by J. Durbin in 1959.
+ */
+
+/* returns minimum mean square error */
+spx_word32_t _spx_lpc(
+spx_coef_t *lpc, /* out: [0...p-1] LPC coefficients */
+const spx_word16_t *ac, /* in: [0...p] autocorrelation values */
+int p
+)
+{
+ int i, j;
+ spx_word16_t r;
+ spx_word16_t error = ac[0];
+
+ if (ac[0] == 0)
+ {
+ for (i = 0; i < p; i++)
+ lpc[i] = 0;
+ return 0;
+ }
+
+ for (i = 0; i < p; i++) {
+
+ /* Sum up this iteration's reflection coefficient */
+ spx_word32_t rr = NEG32(SHL32(EXTEND32(ac[i + 1]),13));
+ for (j = 0; j < i; j++)
+ rr = SUB32(rr,MULT16_16(lpc[j],ac[i - j]));
+#ifdef FIXED_POINT
+ r = DIV32_16(rr+PSHR32(error,1),ADD16(error,8));
+#else
+ r = rr/(error+.003*ac[0]);
+#endif
+ /* Update LPC coefficients and total error */
+ lpc[i] = r;
+ for (j = 0; j < i>>1; j++)
+ {
+ spx_word16_t tmp = lpc[j];
+ lpc[j] = MAC16_16_P13(lpc[j],r,lpc[i-1-j]);
+ lpc[i-1-j] = MAC16_16_P13(lpc[i-1-j],r,tmp);
+ }
+ if (i & 1)
+ lpc[j] = MAC16_16_P13(lpc[j],lpc[j],r);
+
+ error = SUB16(error,MULT16_16_Q13(r,MULT16_16_Q13(error,r)));
+ }
+ return error;
+}
+
+
+#ifdef FIXED_POINT
+
+/* Compute the autocorrelation
+ * ,--,
+ * ac(i) = > x(n) * x(n-i) for all n
+ * `--'
+ * for lags between 0 and lag-1, and x == 0 outside 0...n-1
+ */
+
+#ifndef OVERRIDE_SPEEX_AUTOCORR
+void _spx_autocorr(
+const spx_word16_t *x, /* in: [0...n-1] samples x */
+spx_word16_t *ac, /* out: [0...lag-1] ac values */
+int lag,
+int n
+)
+{
+ spx_word32_t d;
+ int i, j;
+ spx_word32_t ac0=1;
+ int shift, ac_shift;
+
+ for (j=0;j<n;j++)
+ ac0 = ADD32(ac0,SHR32(MULT16_16(x[j],x[j]),8));
+ ac0 = ADD32(ac0,n);
+ shift = 8;
+ while (shift && ac0<0x40000000)
+ {
+ shift--;
+ ac0 <<= 1;
+ }
+ ac_shift = 18;
+ while (ac_shift && ac0<0x40000000)
+ {
+ ac_shift--;
+ ac0 <<= 1;
+ }
+
+
+ for (i=0;i<lag;i++)
+ {
+ d=0;
+ for (j=i;j<n;j++)
+ {
+ d = ADD32(d,SHR32(MULT16_16(x[j],x[j-i]), shift));
+ }
+
+ ac[i] = SHR32(d, ac_shift);
+ }
+}
+#endif
+
+
+#else
+
+
+
+/* Compute the autocorrelation
+ * ,--,
+ * ac(i) = > x(n) * x(n-i) for all n
+ * `--'
+ * for lags between 0 and lag-1, and x == 0 outside 0...n-1
+ */
+void _spx_autocorr(
+const spx_word16_t *x, /* in: [0...n-1] samples x */
+float *ac, /* out: [0...lag-1] ac values */
+int lag,
+int n
+)
+{
+ float d;
+ int i;
+ while (lag--)
+ {
+ for (i = lag, d = 0; i < n; i++)
+ d += x[i] * x[i-lag];
+ ac[lag] = d;
+ }
+ ac[0] += 10;
+}
+
+#endif
+
+