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-/* -*- c-basic-offset: 4; indent-tabs-mode: nil -*- */
-/* ====================================================================
- * Copyright (c) 1997-2000 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.
- *
- * ====================================================================
- *
- */
-/*********************************************************************
- *
- * File: matrix.h
- *
- * Description: Matrix and linear algebra functions
- *
- * Author:
- *
- *********************************************************************/
-
-#ifndef MATRIX_H
-#define MATRIX_H
-
-/** \file matrix.h
- * \brief Matrix and linear algebra functions.
- *
- * This file contains some basic matrix and linear algebra operations.
- * In general these operate on positive definite matrices ONLY,
- * because all matrices we're likely to encounter are either
- * covariance matrices or are derived from them, and therefore a
- * non-positive-definite matrix indicates some kind of pathological
- * condition.
- */
-#ifdef __cplusplus
-extern "C" {
-#endif
-#if 0
-/* Fool Emacs. */
-}
-#endif
-
-/* Win32/WinCE DLL gunk */
-#include <sphinxbase/sphinxbase_export.h>
-#include <sphinxbase/prim_type.h>
-
-
-/**
- * Norm an array
- * @param arr array
- * @param d1 dimension
- * @param d2 dimension
- * @param d3 dimension
- **/
-SPHINXBASE_EXPORT void norm_3d(float32 ***arr, uint32 d1, uint32 d2, uint32 d3);
-
-/**
- * Floor 3-d array
- * @param out output array
- * @para in input array
- * @param d1 dimension
- * @param d2 dimension
- * @param d3 dimension
- **/
-SPHINXBASE_EXPORT void
-accum_3d(float32 ***out, float32 ***in, uint32 d1, uint32 d2, uint32 d3);
-
-/** Ensures that non-zero values x such that -band < x < band, band > 0 are set to -band if x < 0 and band if x > 0.
- * @param v array
- * @param d1 array size
- * @param band band value
- */
-SPHINXBASE_EXPORT void band_nz_1d(float32 *v, uint32 d1, float32 band);
-
-/**
- * Floor 3-d array
- * @param m array
- * @param d1 dimension
- * @param d2 dimension
- * @param d3 dimension
- * @param floor floor value
- **/
-SPHINXBASE_EXPORT void floor_nz_3d(float32 ***m, uint32 d1, uint32 d2, uint32 d3, float32 floor);
-
-/**
- * Floor 1-d array
- * @param m array
- * @param d1 dimension
- * @param floor floor value
- **/
-SPHINXBASE_EXPORT void floor_nz_1d(float32 *v, uint32 d1, float32 floor);
-
-/**
- * Calculate the determinant of a positive definite matrix.
- * @param a The input matrix, must be positive definite.
- * @param len The dimension of the input matrix.
- * @return The determinant of the input matrix, or -1.0 if the matrix is
- * not positive definite.
- *
- * \note These can be vanishingly small hence the float64 return type.
- * Also note that only the upper triangular portion of a is
- * considered, therefore the check for positive-definiteness is not
- * reliable.
- **/
-SPHINXBASE_EXPORT
-float64 determinant(float32 **a, int32 len);
-
-/**
- * Invert (if possible) a positive definite matrix.
- * @param out_ainv The inverse of a will be stored here.
- * @param a The input matrix, must be positive definite.
- * @param len The dimension of the input matrix.
- * @return 0 for success or -1 for a non-positive-definite matrix.
- *
- * \note Only the upper triangular portion of a is considered,
- * therefore the check for positive-definiteness is not reliable.
- **/
-SPHINXBASE_EXPORT
-int32 invert(float32 **out_ainv, float32 **a, int32 len);
-
-/**
- * Solve (if possible) a positive-definite system of linear equations AX=B for X.
- * @param a The A matrix on the left-hand side of the equation, must be positive-definite.
- * @param b The B vector on the right-hand side of the equation.
- * @param out_x The X vector will be stored here.
- * @param n The dimension of the A matrix (n by n) and the B and X vectors.
- * @return 0 for success or -1 for a non-positive-definite matrix.
- *
- * \note Only the upper triangular portion of a is considered,
- * therefore the check for positive-definiteness is not reliable.
- **/
-SPHINXBASE_EXPORT
-int32 solve(float32 **a, float32 *b,
- float32 *out_x, int32 n);
-
-/**
- * Calculate the outer product of two vectors.
- * @param out_a A (pre-allocated) len x len array. The outer product
- * will be stored here.
- * @param x A vector of length len.
- * @param y A vector of length len.
- * @param len The length of the input vectors.
- **/
-SPHINXBASE_EXPORT
-void outerproduct(float32 **out_a, float32 *x, float32 *y, int32 len);
-
-/**
- * Multiply C=AB where A and B are symmetric matrices.
- * @param out_c The output matrix C.
- * @param a The input matrix A.
- * @param b The input matrix B.
- * @param n Dimensionality of A and B.
- **/
-SPHINXBASE_EXPORT
-void matrixmultiply(float32 **out_c, /* = */
- float32 **a, /* * */ float32 **b,
- int32 n);
-
-/**
- * Multiply a symmetric matrix by a constant in-place.
- * @param inout_a The matrix to multiply.
- * @param x The constant to multiply it by.
- * @param n dimension of a.
- **/
-SPHINXBASE_EXPORT
-void scalarmultiply(float32 **inout_a, float32 x, int32 n);
-
-/**
- * Add A += B.
- * @param inout_a The A matrix to add.
- * @param b The B matrix to add to A.
- * @param n dimension of a and b.
- **/
-SPHINXBASE_EXPORT
-void matrixadd(float32 **inout_a, float32 **b, int32 n);
-
-#if 0
-{ /* Fool indent. */
-#endif
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* MATRIX_H */
-