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+/* -*- c-basic-offset: 4 -*- */
+/* ====================================================================
+ * Copyright (c) 1997-2006 Carnegie Mellon University. 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 work was supported in part by funding from the Defense Advanced
+ * Research Projects Agency and the National Science Foundation of the
+ * United States of America, and the CMU Sphinx Speech Consortium.
+ *
+ * THIS SOFTWARE IS PROVIDED BY CARNEGIE MELLON UNIVERSITY ``AS IS'' AND
+ * ANY EXPRESSED 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 CARNEGIE MELLON UNIVERSITY
+ * NOR ITS EMPLOYEES 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 <string.h>
+#include <stdlib.h>
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include "sphinxbase/clapack_lite.h"
+#include "sphinxbase/matrix.h"
+#include "sphinxbase/err.h"
+#include "sphinxbase/ckd_alloc.h"
+
+void
+norm_3d(float32 ***arr,
+ uint32 d1,
+ uint32 d2,
+ uint32 d3)
+{
+ uint32 i, j, k;
+ float64 s;
+
+ for (i = 0; i < d1; i++) {
+ for (j = 0; j < d2; j++) {
+
+ /* compute sum (i, j) as over all k */
+ for (k = 0, s = 0; k < d3; k++) {
+ s += arr[i][j][k];
+ }
+
+ /* do 1 floating point divide */
+ s = 1.0 / s;
+
+ /* divide all k by sum over k */
+ for (k = 0; k < d3; k++) {
+ arr[i][j][k] *= s;
+ }
+ }
+ }
+}
+
+void
+accum_3d(float32 ***out,
+ float32 ***in,
+ uint32 d1,
+ uint32 d2,
+ uint32 d3)
+{
+ uint32 i, j, k;
+
+ for (i = 0; i < d1; i++) {
+ for (j = 0; j < d2; j++) {
+ for (k = 0; k < d3; k++) {
+ out[i][j][k] += in[i][j][k];
+ }
+ }
+ }
+}
+
+void
+floor_nz_3d(float32 ***m,
+ uint32 d1,
+ uint32 d2,
+ uint32 d3,
+ float32 floor)
+{
+ uint32 i, j, k;
+
+ for (i = 0; i < d1; i++) {
+ for (j = 0; j < d2; j++) {
+ for (k = 0; k < d3; k++) {
+ if ((m[i][j][k] != 0) && (m[i][j][k] < floor))
+ m[i][j][k] = floor;
+ }
+ }
+ }
+}
+void
+floor_nz_1d(float32 *v,
+ uint32 d1,
+ float32 floor)
+{
+ uint32 i;
+
+ for (i = 0; i < d1; i++) {
+ if ((v[i] != 0) && (v[i] < floor))
+ v[i] = floor;
+ }
+}
+
+void
+band_nz_1d(float32 *v,
+ uint32 d1,
+ float32 band)
+{
+ uint32 i;
+
+ for (i = 0; i < d1; i++) {
+ if (v[i] != 0) {
+ if ((v[i] > 0) && (v[i] < band)) {
+ v[i] = band;
+ }
+ else if ((v[i] < 0) && (v[i] > -band)) {
+ v[i] = -band;
+ }
+ }
+ }
+}
+
+#ifndef WITH_LAPACK
+float64
+determinant(float32 **a, int32 n)
+{
+ E_FATAL("No LAPACK library available, cannot compute determinant (FIXME)\n");
+ return 0.0;
+}
+int32
+invert(float32 **ainv, float32 **a, int32 n)
+{
+ E_FATAL("No LAPACK library available, cannot compute matrix inverse (FIXME)\n");
+ return 0;
+}
+int32
+solve(float32 **a, float32 *b, float32 *out_x, int32 n)
+{
+ E_FATAL("No LAPACK library available, cannot solve linear equations (FIXME)\n");
+ return 0;
+}
+
+void
+matrixmultiply(float32 ** c, float32 ** a, float32 ** b, int32 n)
+{
+ int32 i, j, k;
+
+ memset(c[0], 0, n*n*sizeof(float32));
+ for (i = 0; i < n; ++i) {
+ for (j = 0; j < n; ++j) {
+ for (k = 0; k < n; ++k) {
+ c[i][k] += a[i][j] * b[j][k];
+ }
+ }
+ }
+}
+#else /* WITH_LAPACK */
+/* Find determinant through LU decomposition. */
+float64
+determinant(float32 ** a, int32 n)
+{
+ float32 **tmp_a;
+ float64 det;
+ char uplo;
+ int32 info, i;
+
+ /* a is assumed to be symmetric, so we don't need to switch the
+ * ordering of the data. But we do need to copy it since it is
+ * overwritten by LAPACK. */
+ tmp_a = (float32 **)ckd_calloc_2d(n, n, sizeof(float32));
+ memcpy(tmp_a[0], a[0], n*n*sizeof(float32));
+
+ uplo = 'L';
+ spotrf_(&uplo, &n, tmp_a[0], &n, &info);
+ det = tmp_a[0][0];
+ /* det = prod(diag(l))^2 */
+ for (i = 1; i < n; ++i)
+ det *= tmp_a[i][i];
+ ckd_free_2d((void **)tmp_a);
+ if (info > 0)
+ return -1.0; /* Generic "not positive-definite" answer */
+ else
+ return det * det;
+}
+
+int32
+solve(float32 **a, /*Input : an n*n matrix A */
+ float32 *b, /*Input : a n dimesion vector b */
+ float32 *out_x, /*Output : a n dimesion vector x */
+ int32 n)
+{
+ char uplo;
+ float32 **tmp_a;
+ int32 info, nrhs;
+
+ /* a is assumed to be symmetric, so we don't need to switch the
+ * ordering of the data. But we do need to copy it since it is
+ * overwritten by LAPACK. */
+ tmp_a = (float32 **)ckd_calloc_2d(n, n, sizeof(float32));
+ memcpy(tmp_a[0], a[0], n*n*sizeof(float32));
+ memcpy(out_x, b, n*sizeof(float32));
+ uplo = 'L';
+ nrhs = 1;
+ sposv_(&uplo, &n, &nrhs, tmp_a[0], &n, out_x, &n, &info);
+ ckd_free_2d((void **)tmp_a);
+
+ if (info != 0)
+ return -1;
+ else
+ return info;
+}
+
+/* Find inverse by solving AX=I. */
+int32
+invert(float32 ** ainv, float32 ** a, int32 n)
+{
+ char uplo;
+ float32 **tmp_a;
+ int32 info, nrhs, i;
+
+ /* Construct an identity matrix. */
+ memset(ainv[0], 0, sizeof(float32) * n * n);
+ for (i = 0; i < n; i++)
+ ainv[i][i] = 1.0;
+ /* a is assumed to be symmetric, so we don't need to switch the
+ * ordering of the data. But we do need to copy it since it is
+ * overwritten by LAPACK. */
+ tmp_a = (float32 **)ckd_calloc_2d(n, n, sizeof(float32));
+ memcpy(tmp_a[0], a[0], n*n*sizeof(float32));
+ uplo = 'L';
+ nrhs = n;
+ sposv_(&uplo, &n, &nrhs, tmp_a[0], &n, ainv[0], &n, &info);
+ ckd_free_2d((void **)tmp_a);
+
+ if (info != 0)
+ return -1;
+ else
+ return info;
+}
+
+void
+matrixmultiply(float32 ** c, float32 ** a, float32 ** b, int32 n)
+{
+ char side, uplo;
+ float32 alpha;
+
+ side = 'L';
+ uplo = 'L';
+ alpha = 1.0;
+ ssymm_(&side, &uplo, &n, &n, &alpha, a[0], &n, b[0], &n, &alpha, c[0], &n);
+}
+
+#endif /* WITH_LAPACK */
+
+void
+outerproduct(float32 ** a, float32 * x, float32 * y, int32 len)
+{
+ int32 i, j;
+
+ for (i = 0; i < len; ++i) {
+ a[i][i] = x[i] * y[i];
+ for (j = i + 1; j < len; ++j) {
+ a[i][j] = x[i] * y[j];
+ a[j][i] = x[j] * y[i];
+ }
+ }
+}
+
+void
+scalarmultiply(float32 ** a, float32 x, int32 n)
+{
+ int32 i, j;
+
+ for (i = 0; i < n; ++i) {
+ a[i][i] *= x;
+ for (j = i+1; j < n; ++j) {
+ a[i][j] *= x;
+ a[j][i] *= x;
+ }
+ }
+}
+
+void
+matrixadd(float32 ** a, float32 ** b, int32 n)
+{
+ int32 i, j;
+
+ for (i = 0; i < n; ++i)
+ for (j = 0; j < n; ++j)
+ a[i][j] += b[i][j];
+}
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