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+/******************************************************************************
+ * @file matrix_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef MATRIX_FUNCTIONS_F16_H_
+#define MATRIX_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ #define DEFAULT_HOUSEHOLDER_THRESHOLD_F16 (1.0e-3f)
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float16_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f16;
+
+ /**
+ * @brief Floating-point matrix addition.
+ * @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_add_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point, complex, 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
+ * @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_cmplx_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @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_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point complex matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @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_cmplx_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point 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
+ * @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_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+ /**
+ * @brief Floating-point 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_f16(
+ const arm_matrix_instance_f16 *pSrcMat,
+ const float16_t *pVec,
+ float16_t *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_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * 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_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ float16_t scale,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @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_f16(
+ arm_matrix_instance_f16 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float16_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_f16(
+ const arm_matrix_instance_f16 * src,
+ arm_matrix_instance_f16 * 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_f16(
+ const arm_matrix_instance_f16 * src,
+ arm_matrix_instance_f16 * 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_f16(
+ const arm_matrix_instance_f16 * ut,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * 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_f16(
+ const arm_matrix_instance_f16 * lt,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst);
+
+
+/**
+ @brief QR decomposition of a m x n floating point matrix with m >= n.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[in] threshold norm2 threshold.
+ @param[out] pOutR points to output R matrix structure of dimension m x n
+ @param[out] pOutQ points to output Q matrix structure of dimension m x m
+ @param[out] pOutTau points to Householder scaling factors of dimension n
+ @param[inout] pTmpA points to a temporary vector of dimension m.
+ @param[inout] pTmpB points to a temporary vector of dimension n.
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+arm_status arm_mat_qr_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ const float16_t threshold,
+ arm_matrix_instance_f16 * pOutR,
+ arm_matrix_instance_f16 * pOutQ,
+ float16_t * pOutTau,
+ float16_t *pTmpA,
+ float16_t *pTmpB
+ );
+
+/**
+ @brief Householder transform of a half floating point vector.
+ @param[in] pSrc points to the input vector.
+ @param[in] threshold norm2 threshold.
+ @param[in] blockSize dimension of the vector space.
+ @param[outQ] pOut points to the output vector.
+ @return beta return the scaling factor beta
+ */
+float16_t arm_householder_f16(
+ const float16_t * pSrc,
+ const float16_t threshold,
+ uint32_t blockSize,
+ float16_t * pOut
+ );
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _MATRIX_FUNCTIONS_F16_H_ */