rhubarb-lip-sync/rhubarb/lib/sphinxbase-rev13216/include/sphinxbase/matrix.h

/* -*- c-basic-offset: 4; indent-tabs-mode: nil -*- */
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/*********************************************************************
 *
 * 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 with QR
 * algorithm.
 *
 * @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.
 *
 * \note The inversion can be done in-place, so you can use the same matrix
 * if you do not need to keep a.
 **/
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 */