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+/*
+
+$Log$
+Revision 1.15 2004/06/26 03:50:14 markster
+Merge source cleanups (bug #1911)
+
+Revision 1.14 2003/02/12 13:59:15 matteo
+mer feb 12 14:56:57 CET 2003
+
+Revision 1.1.1.1 2003/02/12 13:59:15 matteo
+mer feb 12 14:56:57 CET 2003
+
+Revision 1.2 2000/01/05 08:20:39 markster
+Some OSS fixes and a few lpc changes to make it actually work
+
+ * Revision 1.1 1996/08/19 22:32:00 jaf
+ * Initial revision
+ *
+
+*/
+
+/* -- translated by f2c (version 19951025).
+ You must link the resulting object file with the libraries:
+ -lf2c -lm (in that order)
+*/
+
+#include "f2c.h"
+
+#ifdef P_R_O_T_O_T_Y_P_E_S
+extern int invert_(integer *order, real *phi, real *psi, real *rc);
+#endif
+
+/* **************************************************************** */
+
+/* INVERT Version 45G */
+
+/* $Log$
+ * Revision 1.15 2004/06/26 03:50:14 markster
+ * Merge source cleanups (bug #1911)
+ *
+ * Revision 1.14 2003/02/12 13:59:15 matteo
+ * mer feb 12 14:56:57 CET 2003
+ *
+ * Revision 1.1.1.1 2003/02/12 13:59:15 matteo
+ * mer feb 12 14:56:57 CET 2003
+ *
+ * Revision 1.2 2000/01/05 08:20:39 markster
+ * Some OSS fixes and a few lpc changes to make it actually work
+ *
+ * Revision 1.1 1996/08/19 22:32:00 jaf
+ * Initial revision
+ * */
+/* Revision 1.3 1996/03/18 20:52:47 jaf */
+/* Just added a few comments about which array indices of the arguments */
+/* are used, and mentioning that this subroutine has no local state. */
+
+/* Revision 1.2 1996/03/13 16:51:32 jaf */
+/* Comments added explaining that none of the local variables of this */
+/* subroutine need to be saved from one invocation to the next. */
+
+/* Eliminated a comment from the original, describing a local array X */
+/* that appeared nowhere in the code. */
+
+/* Revision 1.1 1996/02/07 14:47:20 jaf */
+/* Initial revision */
+
+
+/* **************************************************************** */
+
+/* Invert a covariance matrix using Choleski decomposition method. */
+
+/* Input: */
+/* ORDER - Analysis order */
+/* PHI(ORDER,ORDER) - Covariance matrix */
+/* Indices (I,J) read, where ORDER .GE. I .GE. J .GE. 1.*/
+/* All other indices untouched. */
+/* PSI(ORDER) - Column vector to be predicted */
+/* Indices 1 through ORDER read. */
+/* Output: */
+/* RC(ORDER) - Pseudo reflection coefficients */
+/* Indices 1 through ORDER written, and then possibly read.
+*/
+/* Internal: */
+/* V(ORDER,ORDER) - Temporary matrix */
+/* Same indices written as read from PHI. */
+/* Many indices may be read and written again after */
+/* initially being copied from PHI, but all indices */
+/* are written before being read. */
+
+/* NOTE: Temporary matrix V is not needed and may be replaced */
+/* by PHI if the original PHI values do not need to be preserved. */
+
+/* Subroutine */ int invert_(integer *order, real *phi, real *psi, real *rc)
+{
+ /* System generated locals */
+ integer phi_dim1, phi_offset, i__1, i__2, i__3;
+ real r__1, r__2;
+
+ /* Local variables */
+ real save;
+ integer i__, j, k;
+ real v[100] /* was [10][10] */;
+
+/* Arguments */
+/* $Log$
+ * Revision 1.15 2004/06/26 03:50:14 markster
+ * Merge source cleanups (bug #1911)
+ *
+ * Revision 1.14 2003/02/12 13:59:15 matteo
+ * mer feb 12 14:56:57 CET 2003
+ *
+ * Revision 1.1.1.1 2003/02/12 13:59:15 matteo
+ * mer feb 12 14:56:57 CET 2003
+ *
+ * Revision 1.2 2000/01/05 08:20:39 markster
+ * Some OSS fixes and a few lpc changes to make it actually work
+ *
+ * Revision 1.1 1996/08/19 22:32:00 jaf
+ * Initial revision
+ * */
+/* Revision 1.3 1996/03/29 22:03:47 jaf */
+/* Removed definitions for any constants that were no longer used. */
+
+/* Revision 1.2 1996/03/26 19:34:33 jaf */
+/* Added comments indicating which constants are not needed in an */
+/* application that uses the LPC-10 coder. */
+
+/* Revision 1.1 1996/02/07 14:43:51 jaf */
+/* Initial revision */
+
+/* LPC Configuration parameters: */
+/* Frame size, Prediction order, Pitch period */
+/* Parameters/constants */
+/* Local variables that need not be saved */
+/* Decompose PHI into V * D * V' where V is a triangular matrix whose */
+/* main diagonal elements are all 1, V' is the transpose of V, and */
+/* D is a vector. Here D(n) is stored in location V(n,n). */
+ /* Parameter adjustments */
+ --rc;
+ --psi;
+ phi_dim1 = *order;
+ phi_offset = phi_dim1 + 1;
+ phi -= phi_offset;
+
+ /* Function Body */
+ i__1 = *order;
+ for (j = 1; j <= i__1; ++j) {
+ i__2 = *order;
+ for (i__ = j; i__ <= i__2; ++i__) {
+ v[i__ + j * 10 - 11] = phi[i__ + j * phi_dim1];
+ }
+ i__2 = j - 1;
+ for (k = 1; k <= i__2; ++k) {
+ save = v[j + k * 10 - 11] * v[k + k * 10 - 11];
+ i__3 = *order;
+ for (i__ = j; i__ <= i__3; ++i__) {
+ v[i__ + j * 10 - 11] -= v[i__ + k * 10 - 11] * save;
+ }
+ }
+/* Compute intermediate results, which are similar to RC's */
+ if ((r__1 = v[j + j * 10 - 11], abs(r__1)) < 1e-10f) {
+ goto L100;
+ }
+ rc[j] = psi[j];
+ i__2 = j - 1;
+ for (k = 1; k <= i__2; ++k) {
+ rc[j] -= rc[k] * v[j + k * 10 - 11];
+ }
+ v[j + j * 10 - 11] = 1.f / v[j + j * 10 - 11];
+ rc[j] *= v[j + j * 10 - 11];
+/* Computing MAX */
+/* Computing MIN */
+ r__2 = rc[j];
+ r__1 = min(r__2,.999f);
+ rc[j] = max(r__1,-.999f);
+ }
+ return 0;
+/* Zero out higher order RC's if algorithm terminated early */
+L100:
+ i__1 = *order;
+ for (i__ = j; i__ <= i__1; ++i__) {
+ rc[i__] = 0.f;
+ }
+/* Back substitute for PC's (if needed) */
+/* 110 DO J = ORDER,1,-1 */
+/* PC(J) = RC(J) */
+/* DO I = 1,J-1 */
+/* PC(J) = PC(J) - PC(I)*V(J,I) */
+/* END DO */
+/* END DO */
+ return 0;
+} /* invert_ */
+