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/******************************************************************************
* @file interpolation_functions.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 _INTERPOLATION_FUNCTIONS_H_
#define _INTERPOLATION_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupInterpolation Interpolation Functions
* These functions perform 1- and 2-dimensional interpolation of data.
* Linear interpolation is used for 1-dimensional data and
* bilinear interpolation is used for 2-dimensional data.
*/
/**
* @brief Instance structure for the floating-point Linear Interpolate function.
*/
typedef struct
{
uint32_t nValues; /**< nValues */
float32_t x1; /**< x1 */
float32_t xSpacing; /**< xSpacing */
float32_t *pYData; /**< pointer to the table of Y values */
} arm_linear_interp_instance_f32;
/**
* @brief Instance structure for the floating-point bilinear interpolation function.
*/
typedef struct
{
uint16_t numRows; /**< number of rows in the data table. */
uint16_t numCols; /**< number of columns in the data table. */
float32_t *pData; /**< points to the data table. */
} arm_bilinear_interp_instance_f32;
/**
* @brief Instance structure for the Q31 bilinear interpolation function.
*/
typedef struct
{
uint16_t numRows; /**< number of rows in the data table. */
uint16_t numCols; /**< number of columns in the data table. */
q31_t *pData; /**< points to the data table. */
} arm_bilinear_interp_instance_q31;
/**
* @brief Instance structure for the Q15 bilinear interpolation function.
*/
typedef struct
{
uint16_t numRows; /**< number of rows in the data table. */
uint16_t numCols; /**< number of columns in the data table. */
q15_t *pData; /**< points to the data table. */
} arm_bilinear_interp_instance_q15;
/**
* @brief Instance structure for the Q15 bilinear interpolation function.
*/
typedef struct
{
uint16_t numRows; /**< number of rows in the data table. */
uint16_t numCols; /**< number of columns in the data table. */
q7_t *pData; /**< points to the data table. */
} arm_bilinear_interp_instance_q7;
/**
* @brief Struct for specifying cubic spline type
*/
typedef enum
{
ARM_SPLINE_NATURAL = 0, /**< Natural spline */
ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */
} arm_spline_type;
/**
* @brief Instance structure for the floating-point cubic spline interpolation.
*/
typedef struct
{
arm_spline_type type; /**< Type (boundary conditions) */
const float32_t * x; /**< x values */
const float32_t * y; /**< y values */
uint32_t n_x; /**< Number of known data points */
float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */
} arm_spline_instance_f32;
/**
* @ingroup groupInterpolation
*/
/**
* @addtogroup SplineInterpolate
* @{
*/
/**
* @brief Processing function for the floating-point cubic spline interpolation.
* @param[in] S points to an instance of the floating-point spline structure.
* @param[in] xq points to the x values ot the interpolated data points.
* @param[out] pDst points to the block of output data.
* @param[in] blockSize number of samples of output data.
*/
void arm_spline_f32(
arm_spline_instance_f32 * S,
const float32_t * xq,
float32_t * pDst,
uint32_t blockSize);
/**
* @brief Initialization function for the floating-point cubic spline interpolation.
* @param[in,out] S points to an instance of the floating-point spline structure.
* @param[in] type type of cubic spline interpolation (boundary conditions)
* @param[in] x points to the x values of the known data points.
* @param[in] y points to the y values of the known data points.
* @param[in] n number of known data points.
* @param[in] coeffs coefficients array for b, c, and d
* @param[in] tempBuffer buffer array for internal computations
*/
void arm_spline_init_f32(
arm_spline_instance_f32 * S,
arm_spline_type type,
const float32_t * x,
const float32_t * y,
uint32_t n,
float32_t * coeffs,
float32_t * tempBuffer);
/**
* @} end of SplineInterpolate group
*/
/**
* @addtogroup LinearInterpolate
* @{
*/
/**
* @brief Process function for the floating-point Linear Interpolation Function.
* @param[in,out] S is an instance of the floating-point Linear Interpolation structure
* @param[in] x input sample to process
* @return y processed output sample.
*
*/
float32_t arm_linear_interp_f32(
arm_linear_interp_instance_f32 * S,
float32_t x);
/**
*
* @brief Process function for the Q31 Linear Interpolation Function.
* @param[in] pYData pointer to Q31 Linear Interpolation table
* @param[in] x input sample to process
* @param[in] nValues number of table values
* @return y processed output sample.
*
* \par
* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
* This function can support maximum of table size 2^12.
*
*/
q31_t arm_linear_interp_q31(
const q31_t * pYData,
q31_t x,
uint32_t nValues);
/**
*
* @brief Process function for the Q15 Linear Interpolation Function.
* @param[in] pYData pointer to Q15 Linear Interpolation table
* @param[in] x input sample to process
* @param[in] nValues number of table values
* @return y processed output sample.
*
* \par
* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
* This function can support maximum of table size 2^12.
*
*/
q15_t arm_linear_interp_q15(
const q15_t * pYData,
q31_t x,
uint32_t nValues);
/**
*
* @brief Process function for the Q7 Linear Interpolation Function.
* @param[in] pYData pointer to Q7 Linear Interpolation table
* @param[in] x input sample to process
* @param[in] nValues number of table values
* @return y processed output sample.
*
* \par
* Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
* This function can support maximum of table size 2^12.
*/
q7_t arm_linear_interp_q7(
const q7_t * pYData,
q31_t x,
uint32_t nValues);
/**
* @} end of LinearInterpolate group
*/
/**
* @ingroup groupInterpolation
*/
/**
* @addtogroup BilinearInterpolate
* @{
*/
/**
* @brief Floating-point bilinear interpolation.
* @param[in,out] S points to an instance of the interpolation structure.
* @param[in] X interpolation coordinate.
* @param[in] Y interpolation coordinate.
* @return out interpolated value.
*/
float32_t arm_bilinear_interp_f32(
const arm_bilinear_interp_instance_f32 * S,
float32_t X,
float32_t Y);
/**
* @brief Q31 bilinear interpolation.
* @param[in,out] S points to an instance of the interpolation structure.
* @param[in] X interpolation coordinate in 12.20 format.
* @param[in] Y interpolation coordinate in 12.20 format.
* @return out interpolated value.
*/
q31_t arm_bilinear_interp_q31(
arm_bilinear_interp_instance_q31 * S,
q31_t X,
q31_t Y);
/**
* @brief Q15 bilinear interpolation.
* @param[in,out] S points to an instance of the interpolation structure.
* @param[in] X interpolation coordinate in 12.20 format.
* @param[in] Y interpolation coordinate in 12.20 format.
* @return out interpolated value.
*/
q15_t arm_bilinear_interp_q15(
arm_bilinear_interp_instance_q15 * S,
q31_t X,
q31_t Y);
/**
* @brief Q7 bilinear interpolation.
* @param[in,out] S points to an instance of the interpolation structure.
* @param[in] X interpolation coordinate in 12.20 format.
* @param[in] Y interpolation coordinate in 12.20 format.
* @return out interpolated value.
*/
q7_t arm_bilinear_interp_q7(
arm_bilinear_interp_instance_q7 * S,
q31_t X,
q31_t Y);
/**
* @} end of BilinearInterpolate group
*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */
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