320 lines
9.4 KiB
C
320 lines
9.4 KiB
C
/******************************************************************************
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* @file interpolation_functions.h
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* @brief Public header file for CMSIS DSP Library
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* @version V1.9.0
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* @date 23 April 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 _INTERPOLATION_FUNCTIONS_H_
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#define _INTERPOLATION_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 groupInterpolation Interpolation Functions
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* These functions perform 1- and 2-dimensional interpolation of data.
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* Linear interpolation is used for 1-dimensional data and
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* bilinear interpolation is used for 2-dimensional data.
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*/
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/**
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* @brief Instance structure for the floating-point Linear Interpolate function.
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*/
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typedef struct
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{
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uint32_t nValues; /**< nValues */
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float32_t x1; /**< x1 */
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float32_t xSpacing; /**< xSpacing */
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float32_t *pYData; /**< pointer to the table of Y values */
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} arm_linear_interp_instance_f32;
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/**
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* @brief Instance structure for the floating-point bilinear interpolation function.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows in the data table. */
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uint16_t numCols; /**< number of columns in the data table. */
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float32_t *pData; /**< points to the data table. */
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} arm_bilinear_interp_instance_f32;
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/**
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* @brief Instance structure for the Q31 bilinear interpolation function.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows in the data table. */
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uint16_t numCols; /**< number of columns in the data table. */
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q31_t *pData; /**< points to the data table. */
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} arm_bilinear_interp_instance_q31;
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/**
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* @brief Instance structure for the Q15 bilinear interpolation function.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows in the data table. */
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uint16_t numCols; /**< number of columns in the data table. */
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q15_t *pData; /**< points to the data table. */
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} arm_bilinear_interp_instance_q15;
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/**
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* @brief Instance structure for the Q15 bilinear interpolation function.
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*/
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typedef struct
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{
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uint16_t numRows; /**< number of rows in the data table. */
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uint16_t numCols; /**< number of columns in the data table. */
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q7_t *pData; /**< points to the data table. */
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} arm_bilinear_interp_instance_q7;
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/**
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* @brief Struct for specifying cubic spline type
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*/
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typedef enum
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{
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ARM_SPLINE_NATURAL = 0, /**< Natural spline */
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ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */
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} arm_spline_type;
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/**
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* @brief Instance structure for the floating-point cubic spline interpolation.
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*/
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typedef struct
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{
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arm_spline_type type; /**< Type (boundary conditions) */
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const float32_t * x; /**< x values */
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const float32_t * y; /**< y values */
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uint32_t n_x; /**< Number of known data points */
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float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */
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} arm_spline_instance_f32;
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/**
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* @ingroup groupInterpolation
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*/
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/**
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* @addtogroup SplineInterpolate
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* @{
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*/
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/**
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* @brief Processing function for the floating-point cubic spline interpolation.
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* @param[in] S points to an instance of the floating-point spline structure.
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* @param[in] xq points to the x values ot the interpolated data points.
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* @param[out] pDst points to the block of output data.
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* @param[in] blockSize number of samples of output data.
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*/
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void arm_spline_f32(
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arm_spline_instance_f32 * S,
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const float32_t * xq,
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float32_t * pDst,
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uint32_t blockSize);
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/**
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* @brief Initialization function for the floating-point cubic spline interpolation.
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* @param[in,out] S points to an instance of the floating-point spline structure.
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* @param[in] type type of cubic spline interpolation (boundary conditions)
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* @param[in] x points to the x values of the known data points.
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* @param[in] y points to the y values of the known data points.
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* @param[in] n number of known data points.
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* @param[in] coeffs coefficients array for b, c, and d
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* @param[in] tempBuffer buffer array for internal computations
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*/
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void arm_spline_init_f32(
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arm_spline_instance_f32 * S,
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arm_spline_type type,
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const float32_t * x,
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const float32_t * y,
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uint32_t n,
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float32_t * coeffs,
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float32_t * tempBuffer);
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/**
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* @} end of SplineInterpolate group
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*/
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/**
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* @addtogroup LinearInterpolate
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* @{
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*/
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/**
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* @brief Process function for the floating-point Linear Interpolation Function.
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* @param[in,out] S is an instance of the floating-point Linear Interpolation structure
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* @param[in] x input sample to process
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* @return y processed output sample.
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*
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*/
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float32_t arm_linear_interp_f32(
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arm_linear_interp_instance_f32 * S,
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float32_t x);
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/**
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*
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* @brief Process function for the Q31 Linear Interpolation Function.
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* @param[in] pYData pointer to Q31 Linear Interpolation table
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* @param[in] x input sample to process
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* @param[in] nValues number of table values
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* @return y processed output sample.
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*
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* \par
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* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
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* This function can support maximum of table size 2^12.
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*
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*/
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q31_t arm_linear_interp_q31(
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q31_t * pYData,
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q31_t x,
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uint32_t nValues);
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/**
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*
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* @brief Process function for the Q15 Linear Interpolation Function.
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* @param[in] pYData pointer to Q15 Linear Interpolation table
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* @param[in] x input sample to process
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* @param[in] nValues number of table values
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* @return y processed output sample.
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*
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* \par
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* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
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* This function can support maximum of table size 2^12.
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*
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*/
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q15_t arm_linear_interp_q15(
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q15_t * pYData,
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q31_t x,
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uint32_t nValues);
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/**
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*
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* @brief Process function for the Q7 Linear Interpolation Function.
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* @param[in] pYData pointer to Q7 Linear Interpolation table
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* @param[in] x input sample to process
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* @param[in] nValues number of table values
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* @return y processed output sample.
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*
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* \par
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* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
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* This function can support maximum of table size 2^12.
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*/
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q7_t arm_linear_interp_q7(
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q7_t * pYData,
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q31_t x,
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uint32_t nValues);
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/**
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* @} end of LinearInterpolate group
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*/
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/**
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* @ingroup groupInterpolation
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*/
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/**
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* @addtogroup BilinearInterpolate
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* @{
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*/
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/**
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* @brief Floating-point bilinear interpolation.
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* @param[in,out] S points to an instance of the interpolation structure.
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* @param[in] X interpolation coordinate.
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* @param[in] Y interpolation coordinate.
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* @return out interpolated value.
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*/
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float32_t arm_bilinear_interp_f32(
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const arm_bilinear_interp_instance_f32 * S,
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float32_t X,
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float32_t Y);
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/**
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* @brief Q31 bilinear interpolation.
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* @param[in,out] S points to an instance of the interpolation structure.
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* @param[in] X interpolation coordinate in 12.20 format.
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* @param[in] Y interpolation coordinate in 12.20 format.
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* @return out interpolated value.
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*/
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q31_t arm_bilinear_interp_q31(
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arm_bilinear_interp_instance_q31 * S,
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q31_t X,
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q31_t Y);
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/**
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* @brief Q15 bilinear interpolation.
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* @param[in,out] S points to an instance of the interpolation structure.
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* @param[in] X interpolation coordinate in 12.20 format.
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* @param[in] Y interpolation coordinate in 12.20 format.
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* @return out interpolated value.
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*/
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q15_t arm_bilinear_interp_q15(
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arm_bilinear_interp_instance_q15 * S,
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q31_t X,
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q31_t Y);
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/**
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* @brief Q7 bilinear interpolation.
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* @param[in,out] S points to an instance of the interpolation structure.
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* @param[in] X interpolation coordinate in 12.20 format.
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* @param[in] Y interpolation coordinate in 12.20 format.
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* @return out interpolated value.
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*/
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q7_t arm_bilinear_interp_q7(
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arm_bilinear_interp_instance_q7 * S,
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q31_t X,
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q31_t Y);
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/**
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* @} end of BilinearInterpolate group
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*/
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#ifdef __cplusplus
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}
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#endif
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#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */
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