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758 lines
30 KiB
C
758 lines
30 KiB
C
/******************************************************************************
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* @file matrix_functions.h
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* @brief Public header file for CMSIS DSP Library
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* @version V1.10.0
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* @date 08 July 2021
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* Target Processor: Cortex-M and Cortex-A cores
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******************************************************************************/
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/*
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* Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the License); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an AS IS BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef _MATRIX_FUNCTIONS_H_
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#define _MATRIX_FUNCTIONS_H_
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#include "arm_math_types.h"
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#include "arm_math_memory.h"
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#include "dsp/none.h"
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#include "dsp/utils.h"
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#ifdef __cplusplus
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extern "C"
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{
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#endif
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/**
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* @defgroup groupMatrix Matrix Functions
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*
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* This set of functions provides basic matrix math operations.
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* The functions operate on matrix data structures. For example,
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* the type
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* definition for the floating-point matrix structure is shown
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* below:
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* <pre>
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* typedef struct
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* {
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* uint16_t numRows; // number of rows of the matrix.
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* uint16_t numCols; // number of columns of the matrix.
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* float32_t *pData; // points to the data of the matrix.
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* } arm_matrix_instance_f32;
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* </pre>
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* There are similar definitions for Q15 and Q31 data types.
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*
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* The structure specifies the size of the matrix and then points to
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* an array of data. The array is of size <code>numRows X numCols</code>
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* and the values are arranged in row order. That is, the
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* matrix element (i, j) is stored at:
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* <pre>
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* pData[i*numCols + j]
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* </pre>
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*
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* \par Init Functions
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* There is an associated initialization function for each type of matrix
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* data structure.
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* The initialization function sets the values of the internal structure fields.
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* Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15()
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* for floating-point, Q31 and Q15 types, respectively.
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*
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* \par
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* Use of the initialization function is optional. However, if initialization function is used
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* then the instance structure cannot be placed into a const data section.
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* To place the instance structure in a const data
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* section, manually initialize the data structure. For example:
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* <pre>
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* <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
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* <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
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* <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
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* </pre>
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* where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
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* specifies the number of columns, and <code>pData</code> points to the
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* data array.
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*
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* \par Size Checking
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* By default all of the matrix functions perform size checking on the input and
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* output matrices. For example, the matrix addition function verifies that the
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* two input matrices and the output matrix all have the same number of rows and
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* columns. If the size check fails the functions return:
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* <pre>
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* ARM_MATH_SIZE_MISMATCH
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* </pre>
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* Otherwise the functions return
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* <pre>
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* ARM_MATH_SUCCESS
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* </pre>
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* There is some overhead associated with this matrix size checking.
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* The matrix size checking is enabled via the \#define
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* <pre>
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* ARM_MATH_MATRIX_CHECK
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* </pre>
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* within the library project settings. By default this macro is defined
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* and size checking is enabled. By changing the project settings and
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* undefining this macro size checking is eliminated and the functions
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* run a bit faster. With size checking disabled the functions always
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* return <code>ARM_MATH_SUCCESS</code>.
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*/
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/**
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* @brief Instance structure for the floating-point matrix structure.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows of the matrix. */
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uint16_t numCols; /**< number of columns of the matrix. */
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float32_t *pData; /**< points to the data of the matrix. */
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} arm_matrix_instance_f32;
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/**
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* @brief Instance structure for the floating-point matrix structure.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows of the matrix. */
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uint16_t numCols; /**< number of columns of the matrix. */
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float64_t *pData; /**< points to the data of the matrix. */
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} arm_matrix_instance_f64;
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/**
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* @brief Instance structure for the Q7 matrix structure.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows of the matrix. */
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uint16_t numCols; /**< number of columns of the matrix. */
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q7_t *pData; /**< points to the data of the matrix. */
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} arm_matrix_instance_q7;
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/**
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* @brief Instance structure for the Q15 matrix structure.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows of the matrix. */
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uint16_t numCols; /**< number of columns of the matrix. */
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q15_t *pData; /**< points to the data of the matrix. */
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} arm_matrix_instance_q15;
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/**
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* @brief Instance structure for the Q31 matrix structure.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows of the matrix. */
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uint16_t numCols; /**< number of columns of the matrix. */
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q31_t *pData; /**< points to the data of the matrix. */
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} arm_matrix_instance_q31;
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/**
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* @brief Floating-point matrix addition.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_add_f32(
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const arm_matrix_instance_f32 * pSrcA,
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const arm_matrix_instance_f32 * pSrcB,
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arm_matrix_instance_f32 * pDst);
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/**
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* @brief Q15 matrix addition.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_add_q15(
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const arm_matrix_instance_q15 * pSrcA,
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const arm_matrix_instance_q15 * pSrcB,
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arm_matrix_instance_q15 * pDst);
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/**
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* @brief Q31 matrix addition.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_add_q31(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst);
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/**
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* @brief Floating-point, complex, matrix multiplication.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_mult_f32(
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const arm_matrix_instance_f32 * pSrcA,
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const arm_matrix_instance_f32 * pSrcB,
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arm_matrix_instance_f32 * pDst);
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/**
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* @brief Q15, complex, matrix multiplication.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_mult_q15(
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const arm_matrix_instance_q15 * pSrcA,
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const arm_matrix_instance_q15 * pSrcB,
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arm_matrix_instance_q15 * pDst,
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q15_t * pScratch);
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/**
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* @brief Q31, complex, matrix multiplication.
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_mult_q31(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst);
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/**
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* @brief Floating-point matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_trans_f32(
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const arm_matrix_instance_f32 * pSrc,
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arm_matrix_instance_f32 * pDst);
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/**
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* @brief Floating-point matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_trans_f64(
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const arm_matrix_instance_f64 * pSrc,
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arm_matrix_instance_f64 * pDst);
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/**
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* @brief Floating-point complex matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_trans_f32(
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const arm_matrix_instance_f32 * pSrc,
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arm_matrix_instance_f32 * pDst);
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/**
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* @brief Q15 matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_trans_q15(
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const arm_matrix_instance_q15 * pSrc,
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arm_matrix_instance_q15 * pDst);
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/**
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* @brief Q15 complex matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_trans_q15(
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const arm_matrix_instance_q15 * pSrc,
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arm_matrix_instance_q15 * pDst);
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/**
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* @brief Q7 matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_trans_q7(
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const arm_matrix_instance_q7 * pSrc,
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arm_matrix_instance_q7 * pDst);
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/**
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* @brief Q31 matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_trans_q31(
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const arm_matrix_instance_q31 * pSrc,
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arm_matrix_instance_q31 * pDst);
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/**
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* @brief Q31 complex matrix transpose.
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* @param[in] pSrc points to the input matrix
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* @param[out] pDst points to the output matrix
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* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
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* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_cmplx_trans_q31(
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const arm_matrix_instance_q31 * pSrc,
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arm_matrix_instance_q31 * pDst);
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/**
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* @brief Floating-point matrix multiplication
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_f32(
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const arm_matrix_instance_f32 * pSrcA,
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const arm_matrix_instance_f32 * pSrcB,
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arm_matrix_instance_f32 * pDst);
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/**
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* @brief Floating-point matrix multiplication
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_f64(
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const arm_matrix_instance_f64 * pSrcA,
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const arm_matrix_instance_f64 * pSrcB,
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arm_matrix_instance_f64 * pDst);
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/**
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* @brief Floating-point matrix and vector multiplication
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* @param[in] pSrcMat points to the input matrix structure
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* @param[in] pVec points to vector
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* @param[out] pDst points to output vector
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*/
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void arm_mat_vec_mult_f32(
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const arm_matrix_instance_f32 *pSrcMat,
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const float32_t *pVec,
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float32_t *pDst);
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/**
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* @brief Q7 matrix multiplication
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @param[in] pState points to the array for storing intermediate results
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_q7(
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const arm_matrix_instance_q7 * pSrcA,
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const arm_matrix_instance_q7 * pSrcB,
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arm_matrix_instance_q7 * pDst,
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q7_t * pState);
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/**
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* @brief Q7 matrix and vector multiplication
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* @param[in] pSrcMat points to the input matrix structure
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* @param[in] pVec points to vector
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* @param[out] pDst points to output vector
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*/
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void arm_mat_vec_mult_q7(
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const arm_matrix_instance_q7 *pSrcMat,
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const q7_t *pVec,
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q7_t *pDst);
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/**
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* @brief Q15 matrix multiplication
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @param[in] pState points to the array for storing intermediate results
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_q15(
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const arm_matrix_instance_q15 * pSrcA,
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const arm_matrix_instance_q15 * pSrcB,
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arm_matrix_instance_q15 * pDst,
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q15_t * pState);
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/**
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* @brief Q15 matrix and vector multiplication
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* @param[in] pSrcMat points to the input matrix structure
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* @param[in] pVec points to vector
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* @param[out] pDst points to output vector
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*/
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void arm_mat_vec_mult_q15(
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const arm_matrix_instance_q15 *pSrcMat,
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const q15_t *pVec,
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q15_t *pDst);
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/**
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* @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @param[in] pState points to the array for storing intermediate results
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_fast_q15(
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const arm_matrix_instance_q15 * pSrcA,
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const arm_matrix_instance_q15 * pSrcB,
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arm_matrix_instance_q15 * pDst,
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q15_t * pState);
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/**
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* @brief Q31 matrix multiplication
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* @param[in] pSrcA points to the first input matrix structure
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* @param[in] pSrcB points to the second input matrix structure
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* @param[out] pDst points to output matrix structure
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* @return The function returns either
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* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
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*/
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arm_status arm_mat_mult_q31(
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const arm_matrix_instance_q31 * pSrcA,
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const arm_matrix_instance_q31 * pSrcB,
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arm_matrix_instance_q31 * pDst);
|
|
|
|
/**
|
|
* @brief Q31 matrix multiplication
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @param[in] pState points to the array for storing intermediate results
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_mult_opt_q31(
|
|
const arm_matrix_instance_q31 * pSrcA,
|
|
const arm_matrix_instance_q31 * pSrcB,
|
|
arm_matrix_instance_q31 * pDst,
|
|
q31_t *pState);
|
|
|
|
/**
|
|
* @brief Q31 matrix and vector multiplication
|
|
* @param[in] pSrcMat points to the input matrix structure
|
|
* @param[in] pVec points to vector
|
|
* @param[out] pDst points to output vector
|
|
*/
|
|
void arm_mat_vec_mult_q31(
|
|
const arm_matrix_instance_q31 *pSrcMat,
|
|
const q31_t *pVec,
|
|
q31_t *pDst);
|
|
|
|
/**
|
|
* @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_mult_fast_q31(
|
|
const arm_matrix_instance_q31 * pSrcA,
|
|
const arm_matrix_instance_q31 * pSrcB,
|
|
arm_matrix_instance_q31 * pDst);
|
|
|
|
/**
|
|
* @brief Floating-point matrix subtraction
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_sub_f32(
|
|
const arm_matrix_instance_f32 * pSrcA,
|
|
const arm_matrix_instance_f32 * pSrcB,
|
|
arm_matrix_instance_f32 * pDst);
|
|
|
|
/**
|
|
* @brief Floating-point matrix subtraction
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_sub_f64(
|
|
const arm_matrix_instance_f64 * pSrcA,
|
|
const arm_matrix_instance_f64 * pSrcB,
|
|
arm_matrix_instance_f64 * pDst);
|
|
|
|
/**
|
|
* @brief Q15 matrix subtraction
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_sub_q15(
|
|
const arm_matrix_instance_q15 * pSrcA,
|
|
const arm_matrix_instance_q15 * pSrcB,
|
|
arm_matrix_instance_q15 * pDst);
|
|
|
|
/**
|
|
* @brief Q31 matrix subtraction
|
|
* @param[in] pSrcA points to the first input matrix structure
|
|
* @param[in] pSrcB points to the second input matrix structure
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_sub_q31(
|
|
const arm_matrix_instance_q31 * pSrcA,
|
|
const arm_matrix_instance_q31 * pSrcB,
|
|
arm_matrix_instance_q31 * pDst);
|
|
|
|
/**
|
|
* @brief Floating-point matrix scaling.
|
|
* @param[in] pSrc points to the input matrix
|
|
* @param[in] scale scale factor
|
|
* @param[out] pDst points to the output matrix
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_scale_f32(
|
|
const arm_matrix_instance_f32 * pSrc,
|
|
float32_t scale,
|
|
arm_matrix_instance_f32 * pDst);
|
|
|
|
/**
|
|
* @brief Q15 matrix scaling.
|
|
* @param[in] pSrc points to input matrix
|
|
* @param[in] scaleFract fractional portion of the scale factor
|
|
* @param[in] shift number of bits to shift the result by
|
|
* @param[out] pDst points to output matrix
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_scale_q15(
|
|
const arm_matrix_instance_q15 * pSrc,
|
|
q15_t scaleFract,
|
|
int32_t shift,
|
|
arm_matrix_instance_q15 * pDst);
|
|
|
|
/**
|
|
* @brief Q31 matrix scaling.
|
|
* @param[in] pSrc points to input matrix
|
|
* @param[in] scaleFract fractional portion of the scale factor
|
|
* @param[in] shift number of bits to shift the result by
|
|
* @param[out] pDst points to output matrix structure
|
|
* @return The function returns either
|
|
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
|
|
*/
|
|
arm_status arm_mat_scale_q31(
|
|
const arm_matrix_instance_q31 * pSrc,
|
|
q31_t scaleFract,
|
|
int32_t shift,
|
|
arm_matrix_instance_q31 * pDst);
|
|
|
|
/**
|
|
* @brief Q31 matrix initialization.
|
|
* @param[in,out] S points to an instance of the floating-point matrix structure.
|
|
* @param[in] nRows number of rows in the matrix.
|
|
* @param[in] nColumns number of columns in the matrix.
|
|
* @param[in] pData points to the matrix data array.
|
|
*/
|
|
void arm_mat_init_q31(
|
|
arm_matrix_instance_q31 * S,
|
|
uint16_t nRows,
|
|
uint16_t nColumns,
|
|
q31_t * pData);
|
|
|
|
/**
|
|
* @brief Q15 matrix initialization.
|
|
* @param[in,out] S points to an instance of the floating-point matrix structure.
|
|
* @param[in] nRows number of rows in the matrix.
|
|
* @param[in] nColumns number of columns in the matrix.
|
|
* @param[in] pData points to the matrix data array.
|
|
*/
|
|
void arm_mat_init_q15(
|
|
arm_matrix_instance_q15 * S,
|
|
uint16_t nRows,
|
|
uint16_t nColumns,
|
|
q15_t * pData);
|
|
|
|
/**
|
|
* @brief Floating-point matrix initialization.
|
|
* @param[in,out] S points to an instance of the floating-point matrix structure.
|
|
* @param[in] nRows number of rows in the matrix.
|
|
* @param[in] nColumns number of columns in the matrix.
|
|
* @param[in] pData points to the matrix data array.
|
|
*/
|
|
void arm_mat_init_f32(
|
|
arm_matrix_instance_f32 * S,
|
|
uint16_t nRows,
|
|
uint16_t nColumns,
|
|
float32_t * pData);
|
|
|
|
|
|
|
|
/**
|
|
* @brief Floating-point matrix inverse.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] dst points to the instance of the output floating-point matrix structure.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
|
|
*/
|
|
arm_status arm_mat_inverse_f32(
|
|
const arm_matrix_instance_f32 * src,
|
|
arm_matrix_instance_f32 * dst);
|
|
|
|
|
|
/**
|
|
* @brief Floating-point matrix inverse.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] dst points to the instance of the output floating-point matrix structure.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
|
|
*/
|
|
arm_status arm_mat_inverse_f64(
|
|
const arm_matrix_instance_f64 * src,
|
|
arm_matrix_instance_f64 * dst);
|
|
|
|
/**
|
|
* @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] dst points to the instance of the output floating-point matrix structure.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
|
|
* If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
|
|
* The decomposition is returning a lower triangular matrix.
|
|
*/
|
|
arm_status arm_mat_cholesky_f64(
|
|
const arm_matrix_instance_f64 * src,
|
|
arm_matrix_instance_f64 * dst);
|
|
|
|
/**
|
|
* @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] dst points to the instance of the output floating-point matrix structure.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
|
|
* If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
|
|
* The decomposition is returning a lower triangular matrix.
|
|
*/
|
|
arm_status arm_mat_cholesky_f32(
|
|
const arm_matrix_instance_f32 * src,
|
|
arm_matrix_instance_f32 * dst);
|
|
|
|
/**
|
|
* @brief Solve UT . X = A where UT is an upper triangular matrix
|
|
* @param[in] ut The upper triangular matrix
|
|
* @param[in] a The matrix a
|
|
* @param[out] dst The solution X of UT . X = A
|
|
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
|
|
*/
|
|
arm_status arm_mat_solve_upper_triangular_f32(
|
|
const arm_matrix_instance_f32 * ut,
|
|
const arm_matrix_instance_f32 * a,
|
|
arm_matrix_instance_f32 * dst);
|
|
|
|
/**
|
|
* @brief Solve LT . X = A where LT is a lower triangular matrix
|
|
* @param[in] lt The lower triangular matrix
|
|
* @param[in] a The matrix a
|
|
* @param[out] dst The solution X of LT . X = A
|
|
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
|
|
*/
|
|
arm_status arm_mat_solve_lower_triangular_f32(
|
|
const arm_matrix_instance_f32 * lt,
|
|
const arm_matrix_instance_f32 * a,
|
|
arm_matrix_instance_f32 * dst);
|
|
|
|
|
|
/**
|
|
* @brief Solve UT . X = A where UT is an upper triangular matrix
|
|
* @param[in] ut The upper triangular matrix
|
|
* @param[in] a The matrix a
|
|
* @param[out] dst The solution X of UT . X = A
|
|
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
|
|
*/
|
|
arm_status arm_mat_solve_upper_triangular_f64(
|
|
const arm_matrix_instance_f64 * ut,
|
|
const arm_matrix_instance_f64 * a,
|
|
arm_matrix_instance_f64 * dst);
|
|
|
|
/**
|
|
* @brief Solve LT . X = A where LT is a lower triangular matrix
|
|
* @param[in] lt The lower triangular matrix
|
|
* @param[in] a The matrix a
|
|
* @param[out] dst The solution X of LT . X = A
|
|
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
|
|
*/
|
|
arm_status arm_mat_solve_lower_triangular_f64(
|
|
const arm_matrix_instance_f64 * lt,
|
|
const arm_matrix_instance_f64 * a,
|
|
arm_matrix_instance_f64 * dst);
|
|
|
|
|
|
/**
|
|
* @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] l points to the instance of the output floating-point triangular matrix structure.
|
|
* @param[out] d points to the instance of the output floating-point diagonal matrix structure.
|
|
* @param[out] p points to the instance of the output floating-point permutation vector.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
|
|
* The decomposition is returning a lower triangular matrix.
|
|
*/
|
|
arm_status arm_mat_ldlt_f32(
|
|
const arm_matrix_instance_f32 * src,
|
|
arm_matrix_instance_f32 * l,
|
|
arm_matrix_instance_f32 * d,
|
|
uint16_t * pp);
|
|
|
|
/**
|
|
* @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
|
|
* @param[in] src points to the instance of the input floating-point matrix structure.
|
|
* @param[out] l points to the instance of the output floating-point triangular matrix structure.
|
|
* @param[out] d points to the instance of the output floating-point diagonal matrix structure.
|
|
* @param[out] p points to the instance of the output floating-point permutation vector.
|
|
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
|
|
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
|
|
* The decomposition is returning a lower triangular matrix.
|
|
*/
|
|
arm_status arm_mat_ldlt_f64(
|
|
const arm_matrix_instance_f64 * src,
|
|
arm_matrix_instance_f64 * l,
|
|
arm_matrix_instance_f64 * d,
|
|
uint16_t * pp);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif /* ifndef _MATRIX_FUNCTIONS_H_ */
|