minkbd: repo restructure

3 files changed, 0 insertions, 7344 deletions

diff --git a/Blink/Drivers/CMSIS/DSP/Include/arm_common_tables.h b/Blink/Drivers/CMSIS/DSP/Include/arm_common_tables.h
deleted file mode 100644
index 233f623..0000000
--- a/Blink/Drivers/CMSIS/DSP/Include/arm_common_tables.h
+++ /dev/null
@@ -1,121 +0,0 @@
-/* ----------------------------------------------------------------------

- * Project:      CMSIS DSP Library

- * Title:        arm_common_tables.h

- * Description:  Extern declaration for common tables

- *

- * $Date:        27. January 2017

- * $Revision:    V.1.5.1

- *

- * Target Processor: Cortex-M cores

- * -------------------------------------------------------------------- */

-/*

- * Copyright (C) 2010-2017 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 _ARM_COMMON_TABLES_H

-#define _ARM_COMMON_TABLES_H

-

-#include "arm_math.h"

-

-extern const uint16_t armBitRevTable[1024];

-extern const q15_t armRecipTableQ15[64];

-extern const q31_t armRecipTableQ31[64];

-extern const float32_t twiddleCoef_16[32];

-extern const float32_t twiddleCoef_32[64];

-extern const float32_t twiddleCoef_64[128];

-extern const float32_t twiddleCoef_128[256];

-extern const float32_t twiddleCoef_256[512];

-extern const float32_t twiddleCoef_512[1024];

-extern const float32_t twiddleCoef_1024[2048];

-extern const float32_t twiddleCoef_2048[4096];

-extern const float32_t twiddleCoef_4096[8192];

-#define twiddleCoef twiddleCoef_4096

-extern const q31_t twiddleCoef_16_q31[24];

-extern const q31_t twiddleCoef_32_q31[48];

-extern const q31_t twiddleCoef_64_q31[96];

-extern const q31_t twiddleCoef_128_q31[192];

-extern const q31_t twiddleCoef_256_q31[384];

-extern const q31_t twiddleCoef_512_q31[768];

-extern const q31_t twiddleCoef_1024_q31[1536];

-extern const q31_t twiddleCoef_2048_q31[3072];

-extern const q31_t twiddleCoef_4096_q31[6144];

-extern const q15_t twiddleCoef_16_q15[24];

-extern const q15_t twiddleCoef_32_q15[48];

-extern const q15_t twiddleCoef_64_q15[96];

-extern const q15_t twiddleCoef_128_q15[192];

-extern const q15_t twiddleCoef_256_q15[384];

-extern const q15_t twiddleCoef_512_q15[768];

-extern const q15_t twiddleCoef_1024_q15[1536];

-extern const q15_t twiddleCoef_2048_q15[3072];

-extern const q15_t twiddleCoef_4096_q15[6144];

-extern const float32_t twiddleCoef_rfft_32[32];

-extern const float32_t twiddleCoef_rfft_64[64];

-extern const float32_t twiddleCoef_rfft_128[128];

-extern const float32_t twiddleCoef_rfft_256[256];

-extern const float32_t twiddleCoef_rfft_512[512];

-extern const float32_t twiddleCoef_rfft_1024[1024];

-extern const float32_t twiddleCoef_rfft_2048[2048];

-extern const float32_t twiddleCoef_rfft_4096[4096];

-

-/* floating-point bit reversal tables */

-#define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)

-#define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)

-#define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)

-#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)

-#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)

-#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)

-#define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)

-#define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)

-#define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)

-

-extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];

-

-/* fixed-point bit reversal tables */

-#define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)

-#define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)

-#define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)

-#define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)

-#define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)

-#define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)

-#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)

-#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)

-#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)

-

-extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];

-extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];

-

-/* Tables for Fast Math Sine and Cosine */

-extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];

-extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];

-extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];

-

-#endif /*  ARM_COMMON_TABLES_H */

diff --git a/Blink/Drivers/CMSIS/DSP/Include/arm_const_structs.h b/Blink/Drivers/CMSIS/DSP/Include/arm_const_structs.h
deleted file mode 100644
index 677073e..0000000
--- a/Blink/Drivers/CMSIS/DSP/Include/arm_const_structs.h
+++ /dev/null
@@ -1,66 +0,0 @@
-/* ----------------------------------------------------------------------

- * Project:      CMSIS DSP Library

- * Title:        arm_const_structs.h

- * Description:  Constant structs that are initialized for user convenience.

- *               For example, some can be given as arguments to the arm_cfft_f32() function.

- *

- * $Date:        27. January 2017

- * $Revision:    V.1.5.1

- *

- * Target Processor: Cortex-M cores

- * -------------------------------------------------------------------- */

-/*

- * Copyright (C) 2010-2017 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 _ARM_CONST_STRUCTS_H

-#define _ARM_CONST_STRUCTS_H

-

-#include "arm_math.h"

-#include "arm_common_tables.h"

-

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;

-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;

-

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;

-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;

-

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;

-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;

-

-#endif

diff --git a/Blink/Drivers/CMSIS/DSP/Include/arm_math.h b/Blink/Drivers/CMSIS/DSP/Include/arm_math.h
deleted file mode 100644
index 997aeae..0000000
--- a/Blink/Drivers/CMSIS/DSP/Include/arm_math.h
+++ /dev/null
@@ -1,7157 +0,0 @@
-/******************************************************************************

- * @file     arm_math.h

- * @brief    Public header file for CMSIS DSP LibraryU

- * @version  V1.5.3

- * @date     10. January 2018

- ******************************************************************************/

-/*

- * Copyright (c) 2010-2018 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.

- */

-

-/**

-   \mainpage CMSIS DSP Software Library

-   *

-   * Introduction

-   * ------------

-   *

-   * This user manual describes the CMSIS DSP software library,

-   * a suite of common signal processing functions for use on Cortex-M processor based devices.

-   *

-   * The library is divided into a number of functions each covering a specific category:

-   * - Basic math functions

-   * - Fast math functions

-   * - Complex math functions

-   * - Filters

-   * - Matrix functions

-   * - Transforms

-   * - Motor control functions

-   * - Statistical functions

-   * - Support functions

-   * - Interpolation functions

-   *

-   * The library has separate functions for operating on 8-bit integers, 16-bit integers,

-   * 32-bit integer and 32-bit floating-point values.

-   *

-   * Using the Library

-   * ------------

-   *

-   * The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.

-   * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit)

-   * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit)

-   * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit)

-   * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on)

-   * - arm_cortexM7l_math.lib (Cortex-M7, Little endian)

-   * - arm_cortexM7b_math.lib (Cortex-M7, Big endian)

-   * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit)

-   * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit)

-   * - arm_cortexM4l_math.lib (Cortex-M4, Little endian)

-   * - arm_cortexM4b_math.lib (Cortex-M4, Big endian)

-   * - arm_cortexM3l_math.lib (Cortex-M3, Little endian)

-   * - arm_cortexM3b_math.lib (Cortex-M3, Big endian)

-   * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian)

-   * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian)

-   * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian)

-   * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian)

-   * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit)

-   * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions)

-   * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit)

-   *

-   * The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.

-   * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single

-   * public header file <code> arm_math.h</code> for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.

-   * Define the appropriate preprocessor macro ARM_MATH_CM7 or ARM_MATH_CM4 or ARM_MATH_CM3 or

-   * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.

-   * For Armv8-M cores define preprocessor macro ARM_MATH_ARMV8MBL or ARM_MATH_ARMV8MML.

-   * Set preprocessor macro __DSP_PRESENT if Armv8-M Mainline core supports DSP instructions.

-   * 

-   *

-   * Examples

-   * --------

-   *

-   * The library ships with a number of examples which demonstrate how to use the library functions.

-   *

-   * Toolchain Support

-   * ------------

-   *

-   * The library has been developed and tested with MDK version 5.14.0.0

-   * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.

-   *

-   * Building the Library

-   * ------------

-   *

-   * The library installer contains a project file to rebuild libraries on MDK toolchain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder.

-   * - arm_cortexM_math.uvprojx

-   *

-   *

-   * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above.

-   *

-   * Preprocessor Macros

-   * ------------

-   *

-   * Each library project have different preprocessor macros.

-   *

-   * - UNALIGNED_SUPPORT_DISABLE:

-   *

-   * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access

-   *

-   * - ARM_MATH_BIG_ENDIAN:

-   *

-   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.

-   *

-   * - ARM_MATH_MATRIX_CHECK:

-   *

-   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices

-   *

-   * - ARM_MATH_ROUNDING:

-   *

-   * Define macro ARM_MATH_ROUNDING for rounding on support functions

-   *

-   * - ARM_MATH_CMx:

-   *

-   * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target

-   * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and

-   * ARM_MATH_CM7 for building the library on cortex-M7.

-   *

-   * - ARM_MATH_ARMV8MxL:

-   *

-   * Define macro ARM_MATH_ARMV8MBL for building the library on Armv8-M Baseline target, ARM_MATH_ARMV8MML for building library

-   * on Armv8-M Mainline target.

-   *

-   * - __FPU_PRESENT:

-   *

-   * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for floating point libraries.

-   *

-   * - __DSP_PRESENT:

-   *

-   * Initialize macro __DSP_PRESENT = 1 when Armv8-M Mainline core supports DSP instructions.

-   *

-   * <hr>

-   * CMSIS-DSP in ARM::CMSIS Pack

-   * -----------------------------

-   *

-   * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:

-   * |File/Folder                   |Content                                                                 |

-   * |------------------------------|------------------------------------------------------------------------|

-   * |\b CMSIS\\Documentation\\DSP  | This documentation                                                     |

-   * |\b CMSIS\\DSP_Lib             | Software license agreement (license.txt)                               |

-   * |\b CMSIS\\DSP_Lib\\Examples   | Example projects demonstrating the usage of the library functions      |

-   * |\b CMSIS\\DSP_Lib\\Source     | Source files for rebuilding the library                                |

-   *

-   * <hr>

-   * Revision History of CMSIS-DSP

-   * ------------

-   * Please refer to \ref ChangeLog_pg.

-   *

-   * Copyright Notice

-   * ------------

-   *

-   * Copyright (C) 2010-2015 Arm Limited. All rights reserved.

-   */

-

-

-/**

- * @defgroup groupMath Basic Math Functions

- */

-

-/**

- * @defgroup groupFastMath Fast Math Functions

- * This set of functions provides a fast approximation to sine, cosine, and square root.

- * As compared to most of the other functions in the CMSIS math library, the fast math functions

- * operate on individual values and not arrays.

- * There are separate functions for Q15, Q31, and floating-point data.

- *

- */

-

-/**

- * @defgroup groupCmplxMath Complex Math Functions

- * This set of functions operates on complex data vectors.

- * The data in the complex arrays is stored in an interleaved fashion

- * (real, imag, real, imag, ...).

- * In the API functions, the number of samples in a complex array refers

- * to the number of complex values; the array contains twice this number of

- * real values.

- */

-

-/**

- * @defgroup groupFilters Filtering Functions

- */

-

-/**

- * @defgroup groupMatrix Matrix Functions

- *

- * This set of functions provides basic matrix math operations.

- * The functions operate on matrix data structures.  For example,

- * the type

- * definition for the floating-point matrix structure is shown

- * below:

- * <pre>

- *     typedef struct

- *     {

- *       uint16_t numRows;     // number of rows of the matrix.

- *       uint16_t numCols;     // number of columns of the matrix.

- *       float32_t *pData;     // points to the data of the matrix.

- *     } arm_matrix_instance_f32;

- * </pre>

- * There are similar definitions for Q15 and Q31 data types.

- *

- * The structure specifies the size of the matrix and then points to

- * an array of data.  The array is of size <code>numRows X numCols</code>

- * and the values are arranged in row order.  That is, the

- * matrix element (i, j) is stored at:

- * <pre>

- *     pData[i*numCols + j]

- * </pre>

- *

- * \par Init Functions

- * There is an associated initialization function for each type of matrix

- * data structure.

- * The initialization function sets the values of the internal structure fields.

- * Refer to the function <code>arm_mat_init_f32()</code>, <code>arm_mat_init_q31()</code>

- * and <code>arm_mat_init_q15()</code> for floating-point, Q31 and Q15 types,  respectively.

- *

- * \par

- * Use of the initialization function is optional. However, if initialization function is used

- * then the instance structure cannot be placed into a const data section.

- * To place the instance structure in a const data

- * section, manually initialize the data structure.  For example:

- * <pre>

- * <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>

- * <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>

- * <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>

- * </pre>

- * where <code>nRows</code> specifies the number of rows, <code>nColumns</code>

- * specifies the number of columns, and <code>pData</code> points to the

- * data array.

- *

- * \par Size Checking

- * By default all of the matrix functions perform size checking on the input and

- * output matrices. For example, the matrix addition function verifies that the

- * two input matrices and the output matrix all have the same number of rows and

- * columns. If the size check fails the functions return:

- * <pre>

- *     ARM_MATH_SIZE_MISMATCH

- * </pre>

- * Otherwise the functions return

- * <pre>

- *     ARM_MATH_SUCCESS

- * </pre>

- * There is some overhead associated with this matrix size checking.

- * The matrix size checking is enabled via the \#define

- * <pre>

- *     ARM_MATH_MATRIX_CHECK

- * </pre>

- * within the library project settings.  By default this macro is defined

- * and size checking is enabled. By changing the project settings and

- * undefining this macro size checking is eliminated and the functions

- * run a bit faster. With size checking disabled the functions always

- * return <code>ARM_MATH_SUCCESS</code>.

- */

-

-/**

- * @defgroup groupTransforms Transform Functions

- */

-

-/**

- * @defgroup groupController Controller Functions

- */

-

-/**

- * @defgroup groupStats Statistics Functions

- */

-/**

- * @defgroup groupSupport Support Functions

- */

-

-/**

- * @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.

- */

-

-/**

- * @defgroup groupExamples Examples

- */

-#ifndef _ARM_MATH_H

-#define _ARM_MATH_H

-

-/* Compiler specific diagnostic adjustment */

-#if   defined ( __CC_ARM )

-

-#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )

-

-#elif defined ( __GNUC__ )

-#pragma GCC diagnostic push

-#pragma GCC diagnostic ignored "-Wsign-conversion"

-#pragma GCC diagnostic ignored "-Wconversion"

-#pragma GCC diagnostic ignored "-Wunused-parameter"

-

-#elif defined ( __ICCARM__ )

-

-#elif defined ( __TI_ARM__ )

-

-#elif defined ( __CSMC__ )

-

-#elif defined ( __TASKING__ )

-

-#else

-  #error Unknown compiler

-#endif

-

-

-#define __CMSIS_GENERIC         /* disable NVIC and Systick functions */

-

-#if defined(ARM_MATH_CM7)

-  #include "core_cm7.h"

-  #define ARM_MATH_DSP

-#elif defined (ARM_MATH_CM4)

-  #include "core_cm4.h"

-  #define ARM_MATH_DSP

-#elif defined (ARM_MATH_CM3)

-  #include "core_cm3.h"

-#elif defined (ARM_MATH_CM0)

-  #include "core_cm0.h"

-  #define ARM_MATH_CM0_FAMILY

-#elif defined (ARM_MATH_CM0PLUS)

-  #include "core_cm0plus.h"

-  #define ARM_MATH_CM0_FAMILY

-#elif defined (ARM_MATH_ARMV8MBL)

-  #include "core_armv8mbl.h"

-  #define ARM_MATH_CM0_FAMILY

-#elif defined (ARM_MATH_ARMV8MML)

-  #include "core_armv8mml.h"

-  #if (defined (__DSP_PRESENT) && (__DSP_PRESENT == 1))

-    #define ARM_MATH_DSP

-  #endif

-#else

-  #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS, ARM_MATH_CM0, ARM_MATH_ARMV8MBL, ARM_MATH_ARMV8MML"

-#endif

-

-#undef  __CMSIS_GENERIC         /* enable NVIC and Systick functions */

-#include "string.h"

-#include "math.h"

-#ifdef   __cplusplus

-extern "C"

-{

-#endif

-

-

-  /**

-   * @brief Macros required for reciprocal calculation in Normalized LMS

-   */

-

-#define DELTA_Q31          (0x100)

-#define DELTA_Q15          0x5

-#define INDEX_MASK         0x0000003F

-#ifndef PI

-  #define PI               3.14159265358979f

-#endif

-

-  /**

-   * @brief Macros required for SINE and COSINE Fast math approximations

-   */

-

-#define FAST_MATH_TABLE_SIZE  512

-#define FAST_MATH_Q31_SHIFT   (32 - 10)

-#define FAST_MATH_Q15_SHIFT   (16 - 10)

-#define CONTROLLER_Q31_SHIFT  (32 - 9)

-#define TABLE_SPACING_Q31     0x400000

-#define TABLE_SPACING_Q15     0x80

-

-  /**

-   * @brief Macros required for SINE and COSINE Controller functions

-   */

-  /* 1.31(q31) Fixed value of 2/360 */

-  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */

-#define INPUT_SPACING         0xB60B61

-

-  /**

-   * @brief Macro for Unaligned Support

-   */

-#ifndef UNALIGNED_SUPPORT_DISABLE

-    #define ALIGN4

-#else

-  #if defined  (__GNUC__)

-    #define ALIGN4 __attribute__((aligned(4)))

-  #else

-    #define ALIGN4 __align(4)

-  #endif

-#endif   /* #ifndef UNALIGNED_SUPPORT_DISABLE */

-

-  /**

-   * @brief Error status returned by some functions in the library.

-   */

-

-  typedef enum

-  {

-    ARM_MATH_SUCCESS = 0,                /**< No error */

-    ARM_MATH_ARGUMENT_ERROR = -1,        /**< One or more arguments are incorrect */

-    ARM_MATH_LENGTH_ERROR = -2,          /**< Length of data buffer is incorrect */

-    ARM_MATH_SIZE_MISMATCH = -3,         /**< Size of matrices is not compatible with the operation. */

-    ARM_MATH_NANINF = -4,                /**< Not-a-number (NaN) or infinity is generated */

-    ARM_MATH_SINGULAR = -5,              /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */

-    ARM_MATH_TEST_FAILURE = -6           /**< Test Failed  */

-  } arm_status;

-

-  /**

-   * @brief 8-bit fractional data type in 1.7 format.

-   */

-  typedef int8_t q7_t;

-

-  /**

-   * @brief 16-bit fractional data type in 1.15 format.

-   */

-  typedef int16_t q15_t;

-

-  /**

-   * @brief 32-bit fractional data type in 1.31 format.

-   */

-  typedef int32_t q31_t;

-

-  /**

-   * @brief 64-bit fractional data type in 1.63 format.

-   */

-  typedef int64_t q63_t;

-

-  /**

-   * @brief 32-bit floating-point type definition.

-   */

-  typedef float float32_t;

-

-  /**

-   * @brief 64-bit floating-point type definition.

-   */

-  typedef double float64_t;

-

-  /**

-   * @brief definition to read/write two 16 bit values.

-   */

-#if   defined ( __CC_ARM )

-  #define __SIMD32_TYPE int32_t __packed

-  #define CMSIS_UNUSED __attribute__((unused))

-  #define CMSIS_INLINE __attribute__((always_inline))

-

-#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )

-  #define __SIMD32_TYPE int32_t

-  #define CMSIS_UNUSED __attribute__((unused))

-  #define CMSIS_INLINE __attribute__((always_inline))

-

-#elif defined ( __GNUC__ )

-  #define __SIMD32_TYPE int32_t

-  #define CMSIS_UNUSED __attribute__((unused))

-  #define CMSIS_INLINE __attribute__((always_inline))

-

-#elif defined ( __ICCARM__ )

-  #define __SIMD32_TYPE int32_t __packed

-  #define CMSIS_UNUSED

-  #define CMSIS_INLINE

-

-#elif defined ( __TI_ARM__ )

-  #define __SIMD32_TYPE int32_t

-  #define CMSIS_UNUSED __attribute__((unused))

-  #define CMSIS_INLINE

-

-#elif defined ( __CSMC__ )

-  #define __SIMD32_TYPE int32_t

-  #define CMSIS_UNUSED

-  #define CMSIS_INLINE

-

-#elif defined ( __TASKING__ )

-  #define __SIMD32_TYPE __unaligned int32_t

-  #define CMSIS_UNUSED

-  #define CMSIS_INLINE

-

-#else

-  #error Unknown compiler

-#endif

-

-#define __SIMD32(addr)        (*(__SIMD32_TYPE **) & (addr))

-#define __SIMD32_CONST(addr)  ((__SIMD32_TYPE *)(addr))

-#define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE *)  (addr))

-#define __SIMD64(addr)        (*(int64_t **) & (addr))

-

-#if !defined (ARM_MATH_DSP)

-  /**

-   * @brief definition to pack two 16 bit values.

-   */

-#define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0x0000FFFF) | \

-                                    (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )

-#define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0xFFFF0000) | \

-                                    (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )

-

-#endif /* !defined (ARM_MATH_DSP) */

-

-   /**

-   * @brief definition to pack four 8 bit values.

-   */

-#ifndef ARM_MATH_BIG_ENDIAN

-

-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) | \

-                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) | \

-                                (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \

-                                (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )

-#else

-

-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) | \

-                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) | \

-                                (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \

-                                (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )

-

-#endif

-

-

-  /**

-   * @brief Clips Q63 to Q31 values.

-   */

-  CMSIS_INLINE __STATIC_INLINE q31_t clip_q63_to_q31(

-  q63_t x)

-  {

-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?

-      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;

-  }

-

-  /**

-   * @brief Clips Q63 to Q15 values.

-   */

-  CMSIS_INLINE __STATIC_INLINE q15_t clip_q63_to_q15(

-  q63_t x)

-  {

-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?

-      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);

-  }

-

-  /**

-   * @brief Clips Q31 to Q7 values.

-   */

-  CMSIS_INLINE __STATIC_INLINE q7_t clip_q31_to_q7(

-  q31_t x)

-  {

-    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?

-      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;

-  }

-

-  /**

-   * @brief Clips Q31 to Q15 values.

-   */

-  CMSIS_INLINE __STATIC_INLINE q15_t clip_q31_to_q15(

-  q31_t x)

-  {

-    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?

-      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;

-  }

-

-  /**

-   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.

-   */

-

-  CMSIS_INLINE __STATIC_INLINE q63_t mult32x64(

-  q63_t x,

-  q31_t y)

-  {

-    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +

-            (((q63_t) (x >> 32) * y)));

-  }

-

-  /**

-   * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.

-   */

-

-  CMSIS_INLINE __STATIC_INLINE uint32_t arm_recip_q31(

-  q31_t in,

-  q31_t * dst,

-  q31_t * pRecipTable)

-  {

-    q31_t out;

-    uint32_t tempVal;

-    uint32_t index, i;

-    uint32_t signBits;

-

-    if (in > 0)

-    {

-      signBits = ((uint32_t) (__CLZ( in) - 1));

-    }

-    else

-    {

-      signBits = ((uint32_t) (__CLZ(-in) - 1));

-    }

-

-    /* Convert input sample to 1.31 format */

-    in = (in << signBits);

-

-    /* calculation of index for initial approximated Val */

-    index = (uint32_t)(in >> 24);

-    index = (index & INDEX_MASK);

-

-    /* 1.31 with exp 1 */

-    out = pRecipTable[index];

-

-    /* calculation of reciprocal value */

-    /* running approximation for two iterations */

-    for (i = 0U; i < 2U; i++)

-    {

-      tempVal = (uint32_t) (((q63_t) in * out) >> 31);

-      tempVal = 0x7FFFFFFFu - tempVal;

-      /*      1.31 with exp 1 */

-      /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */

-      out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);

-    }

-

-    /* write output */

-    *dst = out;

-

-    /* return num of signbits of out = 1/in value */

-    return (signBits + 1U);

-  }

-

-

-  /**

-   * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t arm_recip_q15(

-  q15_t in,

-  q15_t * dst,

-  q15_t * pRecipTable)

-  {

-    q15_t out = 0;

-    uint32_t tempVal = 0;

-    uint32_t index = 0, i = 0;

-    uint32_t signBits = 0;

-

-    if (in > 0)

-    {

-      signBits = ((uint32_t)(__CLZ( in) - 17));

-    }

-    else

-    {

-      signBits = ((uint32_t)(__CLZ(-in) - 17));

-    }

-

-    /* Convert input sample to 1.15 format */

-    in = (in << signBits);

-

-    /* calculation of index for initial approximated Val */

-    index = (uint32_t)(in >>  8);

-    index = (index & INDEX_MASK);

-

-    /*      1.15 with exp 1  */

-    out = pRecipTable[index];

-

-    /* calculation of reciprocal value */

-    /* running approximation for two iterations */

-    for (i = 0U; i < 2U; i++)

-    {

-      tempVal = (uint32_t) (((q31_t) in * out) >> 15);

-      tempVal = 0x7FFFu - tempVal;

-      /*      1.15 with exp 1 */

-      out = (q15_t) (((q31_t) out * tempVal) >> 14);

-      /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */

-    }

-

-    /* write output */

-    *dst = out;

-

-    /* return num of signbits of out = 1/in value */

-    return (signBits + 1);

-  }

-

-

-/*

- * @brief C custom defined intrinsic function for M3 and M0 processors

- */

-#if !defined (ARM_MATH_DSP)

-

-  /*

-   * @brief C custom defined QADD8 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QADD8(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s, t, u;

-

-    r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;

-    s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;

-    t = __SSAT(((((q31_t)x <<  8) >> 24) + (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;

-    u = __SSAT(((((q31_t)x      ) >> 24) + (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;

-

-    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined QSUB8 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QSUB8(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s, t, u;

-

-    r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;

-    s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;

-    t = __SSAT(((((q31_t)x <<  8) >> 24) - (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;

-    u = __SSAT(((((q31_t)x      ) >> 24) - (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;

-

-    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined QADD16 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QADD16(

-  uint32_t x,

-  uint32_t y)

-  {

-/*  q31_t r,     s;  without initialisation 'arm_offset_q15 test' fails  but 'intrinsic' tests pass! for armCC */

-    q31_t r = 0, s = 0;

-

-    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;

-    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined SHADD16 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SHADD16(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-    s = (((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined QSUB16 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QSUB16(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;

-    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined SHSUB16 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SHSUB16(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-    s = (((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined QASX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QASX(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;

-    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined SHASX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SHASX(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-    s = (((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined QSAX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __QSAX(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;

-    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined SHSAX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SHSAX(

-  uint32_t x,

-  uint32_t y)

-  {

-    q31_t r, s;

-

-    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-    s = (((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;

-

-    return ((uint32_t)((s << 16) | (r      )));

-  }

-

-

-  /*

-   * @brief C custom defined SMUSDX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMUSDX(

-  uint32_t x,

-  uint32_t y)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));

-  }

-

-  /*

-   * @brief C custom defined SMUADX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMUADX(

-  uint32_t x,

-  uint32_t y)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));

-  }

-

-

-  /*

-   * @brief C custom defined QADD for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE int32_t __QADD(

-  int32_t x,

-  int32_t y)

-  {

-    return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));

-  }

-

-

-  /*

-   * @brief C custom defined QSUB for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE int32_t __QSUB(

-  int32_t x,

-  int32_t y)

-  {

-    return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));

-  }

-

-

-  /*

-   * @brief C custom defined SMLAD for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMLAD(

-  uint32_t x,

-  uint32_t y,

-  uint32_t sum)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +

-                       ( ((q31_t)sum    )                                  )   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMLADX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMLADX(

-  uint32_t x,

-  uint32_t y,

-  uint32_t sum)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ( ((q31_t)sum    )                                  )   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMLSDX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMLSDX(

-  uint32_t x,

-  uint32_t y,

-  uint32_t sum)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ( ((q31_t)sum    )                                  )   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMLALD for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint64_t __SMLALD(

-  uint32_t x,

-  uint32_t y,

-  uint64_t sum)

-  {

-/*  return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */

-    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +

-                       ( ((q63_t)sum    )                                  )   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMLALDX for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint64_t __SMLALDX(

-  uint32_t x,

-  uint32_t y,

-  uint64_t sum)

-  {

-/*  return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */

-    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ( ((q63_t)sum    )                                  )   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMUAD for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMUAD(

-  uint32_t x,

-  uint32_t y)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));

-  }

-

-

-  /*

-   * @brief C custom defined SMUSD for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SMUSD(

-  uint32_t x,

-  uint32_t y)

-  {

-    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -

-                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));

-  }

-

-

-  /*

-   * @brief C custom defined SXTB16 for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE uint32_t __SXTB16(

-  uint32_t x)

-  {

-    return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |

-                       ((((q31_t)x <<  8) >>  8) & (q31_t)0xFFFF0000)  ));

-  }

-

-  /*

-   * @brief C custom defined SMMLA for M3 and M0 processors

-   */

-  CMSIS_INLINE __STATIC_INLINE int32_t __SMMLA(

-  int32_t x,

-  int32_t y,

-  int32_t sum)

-  {

-    return (sum + (int32_t) (((int64_t) x * y) >> 32));

-  }

-

-#endif /* !defined (ARM_MATH_DSP) */

-

-

-  /**

-   * @brief Instance structure for the Q7 FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;        /**< number of filter coefficients in the filter. */

-    q7_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q7_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/

-  } arm_fir_instance_q7;

-

-  /**

-   * @brief Instance structure for the Q15 FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */

-    q15_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q15_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/

-  } arm_fir_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */

-    q31_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q31_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps. */

-  } arm_fir_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;     /**< number of filter coefficients in the filter. */

-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */

-  } arm_fir_instance_f32;

-

-

-  /**

-   * @brief Processing function for the Q7 FIR filter.

-   * @param[in]  S          points to an instance of the Q7 FIR filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_q7(

-  const arm_fir_instance_q7 * S,

-  q7_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q7 FIR filter.

-   * @param[in,out] S          points to an instance of the Q7 FIR structure.

-   * @param[in]     numTaps    Number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of samples that are processed.

-   */

-  void arm_fir_init_q7(

-  arm_fir_instance_q7 * S,

-  uint16_t numTaps,

-  q7_t * pCoeffs,

-  q7_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q15 FIR filter.

-   * @param[in]  S          points to an instance of the Q15 FIR structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_q15(

-  const arm_fir_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q15 FIR filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_fast_q15(

-  const arm_fir_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q15 FIR filter.

-   * @param[in,out] S          points to an instance of the Q15 FIR filter structure.

-   * @param[in]     numTaps    Number of filter coefficients in the filter. Must be even and greater than or equal to 4.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of samples that are processed at a time.

-   * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if

-   * <code>numTaps</code> is not a supported value.

-   */

-  arm_status arm_fir_init_q15(

-  arm_fir_instance_q15 * S,

-  uint16_t numTaps,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 FIR filter.

-   * @param[in]  S          points to an instance of the Q31 FIR filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_q31(

-  const arm_fir_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q31 FIR structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_fast_q31(

-  const arm_fir_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q31 FIR filter.

-   * @param[in,out] S          points to an instance of the Q31 FIR structure.

-   * @param[in]     numTaps    Number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of samples that are processed at a time.

-   */

-  void arm_fir_init_q31(

-  arm_fir_instance_q31 * S,

-  uint16_t numTaps,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the floating-point FIR filter.

-   * @param[in]  S          points to an instance of the floating-point FIR structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_f32(

-  const arm_fir_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point FIR filter.

-   * @param[in,out] S          points to an instance of the floating-point FIR filter structure.

-   * @param[in]     numTaps    Number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of samples that are processed at a time.

-   */

-  void arm_fir_init_f32(

-  arm_fir_instance_f32 * S,

-  uint16_t numTaps,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q15 Biquad cascade filter.

-   */

-  typedef struct

-  {

-    int8_t numStages;        /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    q15_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */

-    q15_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */

-    int8_t postShift;        /**< Additional shift, in bits, applied to each output sample. */

-  } arm_biquad_casd_df1_inst_q15;

-

-  /**

-   * @brief Instance structure for the Q31 Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */

-    q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */

-    uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */

-  } arm_biquad_casd_df1_inst_q31;

-

-  /**

-   * @brief Instance structure for the floating-point Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    float32_t *pState;       /**< Points to the array of state coefficients.  The array is of length 4*numStages. */

-    float32_t *pCoeffs;      /**< Points to the array of coefficients.  The array is of length 5*numStages. */

-  } arm_biquad_casd_df1_inst_f32;

-

-

-  /**

-   * @brief Processing function for the Q15 Biquad cascade filter.

-   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df1_q15(

-  const arm_biquad_casd_df1_inst_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q15 Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the Q15 Biquad cascade structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format

-   */

-  void arm_biquad_cascade_df1_init_q15(

-  arm_biquad_casd_df1_inst_q15 * S,

-  uint8_t numStages,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  int8_t postShift);

-

-

-  /**

-   * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df1_fast_q15(

-  const arm_biquad_casd_df1_inst_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 Biquad cascade filter

-   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df1_q31(

-  const arm_biquad_casd_df1_inst_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df1_fast_q31(

-  const arm_biquad_casd_df1_inst_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q31 Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the Q31 Biquad cascade structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format

-   */

-  void arm_biquad_cascade_df1_init_q31(

-  arm_biquad_casd_df1_inst_q31 * S,

-  uint8_t numStages,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  int8_t postShift);

-

-

-  /**

-   * @brief Processing function for the floating-point Biquad cascade filter.

-   * @param[in]  S          points to an instance of the floating-point Biquad cascade structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df1_f32(

-  const arm_biquad_casd_df1_inst_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the floating-point Biquad cascade structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   */

-  void arm_biquad_cascade_df1_init_f32(

-  arm_biquad_casd_df1_inst_f32 * S,

-  uint8_t numStages,

-  float32_t * pCoeffs,

-  float32_t * pState);

-

-

-  /**

-   * @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.  */

-    float32_t *pData;     /**< points to the data of the matrix. */

-  } arm_matrix_instance_f32;

-

-

-  /**

-   * @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.  */

-    float64_t *pData;     /**< points to the data of the matrix. */

-  } arm_matrix_instance_f64;

-

-  /**

-   * @brief Instance structure for the Q15 matrix structure.

-   */

-  typedef struct

-  {

-    uint16_t numRows;     /**< number of rows of the matrix.     */

-    uint16_t numCols;     /**< number of columns of the matrix.  */

-    q15_t *pData;         /**< points to the data of the matrix. */

-  } arm_matrix_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 matrix structure.

-   */

-  typedef struct

-  {

-    uint16_t numRows;     /**< number of rows of the matrix.     */

-    uint16_t numCols;     /**< number of columns of the matrix.  */

-    q31_t *pData;         /**< points to the data of the matrix. */

-  } arm_matrix_instance_q31;

-

-

-  /**

-   * @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_f32(

-  const arm_matrix_instance_f32 * pSrcA,

-  const arm_matrix_instance_f32 * pSrcB,

-  arm_matrix_instance_f32 * pDst);

-

-

-  /**

-   * @brief Q15 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_q15(

-  const arm_matrix_instance_q15 * pSrcA,

-  const arm_matrix_instance_q15 * pSrcB,

-  arm_matrix_instance_q15 * pDst);

-

-

-  /**

-   * @brief Q31 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_q31(

-  const arm_matrix_instance_q31 * pSrcA,

-  const arm_matrix_instance_q31 * pSrcB,

-  arm_matrix_instance_q31 * 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_f32(

-  const arm_matrix_instance_f32 * pSrcA,

-  const arm_matrix_instance_f32 * pSrcB,

-  arm_matrix_instance_f32 * pDst);

-

-

-  /**

-   * @brief Q15, 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_q15(

-  const arm_matrix_instance_q15 * pSrcA,

-  const arm_matrix_instance_q15 * pSrcB,

-  arm_matrix_instance_q15 * pDst,

-  q15_t * pScratch);

-

-

-  /**

-   * @brief Q31, 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_q31(

-  const arm_matrix_instance_q31 * pSrcA,

-  const arm_matrix_instance_q31 * pSrcB,

-  arm_matrix_instance_q31 * 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_f32(

-  const arm_matrix_instance_f32 * pSrc,

-  arm_matrix_instance_f32 * pDst);

-

-

-  /**

-   * @brief Q15 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_q15(

-  const arm_matrix_instance_q15 * pSrc,

-  arm_matrix_instance_q15 * pDst);

-

-

-  /**

-   * @brief Q31 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_q31(

-  const arm_matrix_instance_q31 * pSrc,

-  arm_matrix_instance_q31 * 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_f32(

-  const arm_matrix_instance_f32 * pSrcA,

-  const arm_matrix_instance_f32 * pSrcB,

-  arm_matrix_instance_f32 * pDst);

-

-

-  /**

-   * @brief Q15 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_q15(

-  const arm_matrix_instance_q15 * pSrcA,

-  const arm_matrix_instance_q15 * pSrcB,

-  arm_matrix_instance_q15 * pDst,

-  q15_t * pState);

-

-

-  /**

-   * @brief Q15 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

-   * @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_fast_q15(

-  const arm_matrix_instance_q15 * pSrcA,

-  const arm_matrix_instance_q15 * pSrcB,

-  arm_matrix_instance_q15 * pDst,

-  q15_t * pState);

-

-

-  /**

-   * @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

-   * @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_q31(

-  const arm_matrix_instance_q31 * pSrcA,

-  const arm_matrix_instance_q31 * pSrcB,

-  arm_matrix_instance_q31 * 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 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 Instance structure for the Q15 PID Control.

-   */

-  typedef struct

-  {

-    q15_t A0;           /**< The derived gain, A0 = Kp + Ki + Kd . */

-#if !defined (ARM_MATH_DSP)

-    q15_t A1;

-    q15_t A2;

-#else

-    q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/

-#endif

-    q15_t state[3];     /**< The state array of length 3. */

-    q15_t Kp;           /**< The proportional gain. */

-    q15_t Ki;           /**< The integral gain. */

-    q15_t Kd;           /**< The derivative gain. */

-  } arm_pid_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 PID Control.

-   */

-  typedef struct

-  {

-    q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */

-    q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */

-    q31_t A2;            /**< The derived gain, A2 = Kd . */

-    q31_t state[3];      /**< The state array of length 3. */

-    q31_t Kp;            /**< The proportional gain. */

-    q31_t Ki;            /**< The integral gain. */

-    q31_t Kd;            /**< The derivative gain. */

-  } arm_pid_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point PID Control.

-   */

-  typedef struct

-  {

-    float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */

-    float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */

-    float32_t A2;          /**< The derived gain, A2 = Kd . */

-    float32_t state[3];    /**< The state array of length 3. */

-    float32_t Kp;          /**< The proportional gain. */

-    float32_t Ki;          /**< The integral gain. */

-    float32_t Kd;          /**< The derivative gain. */

-  } arm_pid_instance_f32;

-

-

-

-  /**

-   * @brief  Initialization function for the floating-point PID Control.

-   * @param[in,out] S               points to an instance of the PID structure.

-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.

-   */

-  void arm_pid_init_f32(

-  arm_pid_instance_f32 * S,

-  int32_t resetStateFlag);

-

-

-  /**

-   * @brief  Reset function for the floating-point PID Control.

-   * @param[in,out] S  is an instance of the floating-point PID Control structure

-   */

-  void arm_pid_reset_f32(

-  arm_pid_instance_f32 * S);

-

-

-  /**

-   * @brief  Initialization function for the Q31 PID Control.

-   * @param[in,out] S               points to an instance of the Q15 PID structure.

-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.

-   */

-  void arm_pid_init_q31(

-  arm_pid_instance_q31 * S,

-  int32_t resetStateFlag);

-

-

-  /**

-   * @brief  Reset function for the Q31 PID Control.

-   * @param[in,out] S   points to an instance of the Q31 PID Control structure

-   */

-

-  void arm_pid_reset_q31(

-  arm_pid_instance_q31 * S);

-

-

-  /**

-   * @brief  Initialization function for the Q15 PID Control.

-   * @param[in,out] S               points to an instance of the Q15 PID structure.

-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.

-   */

-  void arm_pid_init_q15(

-  arm_pid_instance_q15 * S,

-  int32_t resetStateFlag);

-

-

-  /**

-   * @brief  Reset function for the Q15 PID Control.

-   * @param[in,out] S  points to an instance of the q15 PID Control structure

-   */

-  void arm_pid_reset_q15(

-  arm_pid_instance_q15 * S);

-

-

-  /**

-   * @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 Q7 vector multiplication.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_mult_q7(

-  q7_t * pSrcA,

-  q7_t * pSrcB,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q15 vector multiplication.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_mult_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q31 vector multiplication.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_mult_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Floating-point vector multiplication.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_mult_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q15 CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                 /**< length of the FFT. */

-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    q15_t *pTwiddle;                 /**< points to the Sin twiddle factor table. */

-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-  } arm_cfft_radix2_instance_q15;

-

-/* Deprecated */

-  arm_status arm_cfft_radix2_init_q15(

-  arm_cfft_radix2_instance_q15 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-/* Deprecated */

-  void arm_cfft_radix2_q15(

-  const arm_cfft_radix2_instance_q15 * S,

-  q15_t * pSrc);

-

-

-  /**

-   * @brief Instance structure for the Q15 CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                 /**< length of the FFT. */

-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    q15_t *pTwiddle;                 /**< points to the twiddle factor table. */

-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-  } arm_cfft_radix4_instance_q15;

-

-/* Deprecated */

-  arm_status arm_cfft_radix4_init_q15(

-  arm_cfft_radix4_instance_q15 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-/* Deprecated */

-  void arm_cfft_radix4_q15(

-  const arm_cfft_radix4_instance_q15 * S,

-  q15_t * pSrc);

-

-  /**

-   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                 /**< length of the FFT. */

-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    q31_t *pTwiddle;                 /**< points to the Twiddle factor table. */

-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-  } arm_cfft_radix2_instance_q31;

-

-/* Deprecated */

-  arm_status arm_cfft_radix2_init_q31(

-  arm_cfft_radix2_instance_q31 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-/* Deprecated */

-  void arm_cfft_radix2_q31(

-  const arm_cfft_radix2_instance_q31 * S,

-  q31_t * pSrc);

-

-  /**

-   * @brief Instance structure for the Q31 CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                 /**< length of the FFT. */

-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    q31_t *pTwiddle;                 /**< points to the twiddle factor table. */

-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-  } arm_cfft_radix4_instance_q31;

-

-/* Deprecated */

-  void arm_cfft_radix4_q31(

-  const arm_cfft_radix4_instance_q31 * S,

-  q31_t * pSrc);

-

-/* Deprecated */

-  arm_status arm_cfft_radix4_init_q31(

-  arm_cfft_radix4_instance_q31 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-  /**

-   * @brief Instance structure for the floating-point CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                   /**< length of the FFT. */

-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */

-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-    float32_t onebyfftLen;             /**< value of 1/fftLen. */

-  } arm_cfft_radix2_instance_f32;

-

-/* Deprecated */

-  arm_status arm_cfft_radix2_init_f32(

-  arm_cfft_radix2_instance_f32 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-/* Deprecated */

-  void arm_cfft_radix2_f32(

-  const arm_cfft_radix2_instance_f32 * S,

-  float32_t * pSrc);

-

-  /**

-   * @brief Instance structure for the floating-point CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                   /**< length of the FFT. */

-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */

-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */

-    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */

-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */

-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */

-    float32_t onebyfftLen;             /**< value of 1/fftLen. */

-  } arm_cfft_radix4_instance_f32;

-

-/* Deprecated */

-  arm_status arm_cfft_radix4_init_f32(

-  arm_cfft_radix4_instance_f32 * S,

-  uint16_t fftLen,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-/* Deprecated */

-  void arm_cfft_radix4_f32(

-  const arm_cfft_radix4_instance_f32 * S,

-  float32_t * pSrc);

-

-  /**

-   * @brief Instance structure for the fixed-point CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                   /**< length of the FFT. */

-    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */

-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */

-    uint16_t bitRevLength;             /**< bit reversal table length. */

-  } arm_cfft_instance_q15;

-

-void arm_cfft_q15(

-    const arm_cfft_instance_q15 * S,

-    q15_t * p1,

-    uint8_t ifftFlag,

-    uint8_t bitReverseFlag);

-

-  /**

-   * @brief Instance structure for the fixed-point CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                   /**< length of the FFT. */

-    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */

-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */

-    uint16_t bitRevLength;             /**< bit reversal table length. */

-  } arm_cfft_instance_q31;

-

-void arm_cfft_q31(

-    const arm_cfft_instance_q31 * S,

-    q31_t * p1,

-    uint8_t ifftFlag,

-    uint8_t bitReverseFlag);

-

-  /**

-   * @brief Instance structure for the floating-point CFFT/CIFFT function.

-   */

-  typedef struct

-  {

-    uint16_t fftLen;                   /**< length of the FFT. */

-    const float32_t *pTwiddle;         /**< points to the Twiddle factor table. */

-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */

-    uint16_t bitRevLength;             /**< bit reversal table length. */

-  } arm_cfft_instance_f32;

-

-  void arm_cfft_f32(

-  const arm_cfft_instance_f32 * S,

-  float32_t * p1,

-  uint8_t ifftFlag,

-  uint8_t bitReverseFlag);

-

-  /**

-   * @brief Instance structure for the Q15 RFFT/RIFFT function.

-   */

-  typedef struct

-  {

-    uint32_t fftLenReal;                      /**< length of the real FFT. */

-    uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */

-    uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */

-    uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */

-    q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */

-    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */

-  } arm_rfft_instance_q15;

-

-  arm_status arm_rfft_init_q15(

-  arm_rfft_instance_q15 * S,

-  uint32_t fftLenReal,

-  uint32_t ifftFlagR,

-  uint32_t bitReverseFlag);

-

-  void arm_rfft_q15(

-  const arm_rfft_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst);

-

-  /**

-   * @brief Instance structure for the Q31 RFFT/RIFFT function.

-   */

-  typedef struct

-  {

-    uint32_t fftLenReal;                        /**< length of the real FFT. */

-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */

-    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */

-    uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */

-    q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */

-    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */

-  } arm_rfft_instance_q31;

-

-  arm_status arm_rfft_init_q31(

-  arm_rfft_instance_q31 * S,

-  uint32_t fftLenReal,

-  uint32_t ifftFlagR,

-  uint32_t bitReverseFlag);

-

-  void arm_rfft_q31(

-  const arm_rfft_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst);

-

-  /**

-   * @brief Instance structure for the floating-point RFFT/RIFFT function.

-   */

-  typedef struct

-  {

-    uint32_t fftLenReal;                        /**< length of the real FFT. */

-    uint16_t fftLenBy2;                         /**< length of the complex FFT. */

-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */

-    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */

-    uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */

-    float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */

-    float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */

-    arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */

-  } arm_rfft_instance_f32;

-

-  arm_status arm_rfft_init_f32(

-  arm_rfft_instance_f32 * S,

-  arm_cfft_radix4_instance_f32 * S_CFFT,

-  uint32_t fftLenReal,

-  uint32_t ifftFlagR,

-  uint32_t bitReverseFlag);

-

-  void arm_rfft_f32(

-  const arm_rfft_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst);

-

-  /**

-   * @brief Instance structure for the floating-point RFFT/RIFFT function.

-   */

-typedef struct

-  {

-    arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */

-    uint16_t fftLenRFFT;             /**< length of the real sequence */

-    float32_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */

-  } arm_rfft_fast_instance_f32 ;

-

-arm_status arm_rfft_fast_init_f32 (

-   arm_rfft_fast_instance_f32 * S,

-   uint16_t fftLen);

-

-void arm_rfft_fast_f32(

-  arm_rfft_fast_instance_f32 * S,

-  float32_t * p, float32_t * pOut,

-  uint8_t ifftFlag);

-

-  /**

-   * @brief Instance structure for the floating-point DCT4/IDCT4 function.

-   */

-  typedef struct

-  {

-    uint16_t N;                          /**< length of the DCT4. */

-    uint16_t Nby2;                       /**< half of the length of the DCT4. */

-    float32_t normalize;                 /**< normalizing factor. */

-    float32_t *pTwiddle;                 /**< points to the twiddle factor table. */

-    float32_t *pCosFactor;               /**< points to the cosFactor table. */

-    arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */

-    arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */

-  } arm_dct4_instance_f32;

-

-

-  /**

-   * @brief  Initialization function for the floating-point DCT4/IDCT4.

-   * @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure.

-   * @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure.

-   * @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure.

-   * @param[in]     N          length of the DCT4.

-   * @param[in]     Nby2       half of the length of the DCT4.

-   * @param[in]     normalize  normalizing factor.

-   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.

-   */

-  arm_status arm_dct4_init_f32(

-  arm_dct4_instance_f32 * S,

-  arm_rfft_instance_f32 * S_RFFT,

-  arm_cfft_radix4_instance_f32 * S_CFFT,

-  uint16_t N,

-  uint16_t Nby2,

-  float32_t normalize);

-

-

-  /**

-   * @brief Processing function for the floating-point DCT4/IDCT4.

-   * @param[in]     S              points to an instance of the floating-point DCT4/IDCT4 structure.

-   * @param[in]     pState         points to state buffer.

-   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.

-   */

-  void arm_dct4_f32(

-  const arm_dct4_instance_f32 * S,

-  float32_t * pState,

-  float32_t * pInlineBuffer);

-

-

-  /**

-   * @brief Instance structure for the Q31 DCT4/IDCT4 function.

-   */

-  typedef struct

-  {

-    uint16_t N;                          /**< length of the DCT4. */

-    uint16_t Nby2;                       /**< half of the length of the DCT4. */

-    q31_t normalize;                     /**< normalizing factor. */

-    q31_t *pTwiddle;                     /**< points to the twiddle factor table. */

-    q31_t *pCosFactor;                   /**< points to the cosFactor table. */

-    arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */

-    arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */

-  } arm_dct4_instance_q31;

-

-

-  /**

-   * @brief  Initialization function for the Q31 DCT4/IDCT4.

-   * @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.

-   * @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure

-   * @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure

-   * @param[in]     N          length of the DCT4.

-   * @param[in]     Nby2       half of the length of the DCT4.

-   * @param[in]     normalize  normalizing factor.

-   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.

-   */

-  arm_status arm_dct4_init_q31(

-  arm_dct4_instance_q31 * S,

-  arm_rfft_instance_q31 * S_RFFT,

-  arm_cfft_radix4_instance_q31 * S_CFFT,

-  uint16_t N,

-  uint16_t Nby2,

-  q31_t normalize);

-

-

-  /**

-   * @brief Processing function for the Q31 DCT4/IDCT4.

-   * @param[in]     S              points to an instance of the Q31 DCT4 structure.

-   * @param[in]     pState         points to state buffer.

-   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.

-   */

-  void arm_dct4_q31(

-  const arm_dct4_instance_q31 * S,

-  q31_t * pState,

-  q31_t * pInlineBuffer);

-

-

-  /**

-   * @brief Instance structure for the Q15 DCT4/IDCT4 function.

-   */

-  typedef struct

-  {

-    uint16_t N;                          /**< length of the DCT4. */

-    uint16_t Nby2;                       /**< half of the length of the DCT4. */

-    q15_t normalize;                     /**< normalizing factor. */

-    q15_t *pTwiddle;                     /**< points to the twiddle factor table. */

-    q15_t *pCosFactor;                   /**< points to the cosFactor table. */

-    arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */

-    arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */

-  } arm_dct4_instance_q15;

-

-

-  /**

-   * @brief  Initialization function for the Q15 DCT4/IDCT4.

-   * @param[in,out] S          points to an instance of Q15 DCT4/IDCT4 structure.

-   * @param[in]     S_RFFT     points to an instance of Q15 RFFT/RIFFT structure.

-   * @param[in]     S_CFFT     points to an instance of Q15 CFFT/CIFFT structure.

-   * @param[in]     N          length of the DCT4.

-   * @param[in]     Nby2       half of the length of the DCT4.

-   * @param[in]     normalize  normalizing factor.

-   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.

-   */

-  arm_status arm_dct4_init_q15(

-  arm_dct4_instance_q15 * S,

-  arm_rfft_instance_q15 * S_RFFT,

-  arm_cfft_radix4_instance_q15 * S_CFFT,

-  uint16_t N,

-  uint16_t Nby2,

-  q15_t normalize);

-

-

-  /**

-   * @brief Processing function for the Q15 DCT4/IDCT4.

-   * @param[in]     S              points to an instance of the Q15 DCT4 structure.

-   * @param[in]     pState         points to state buffer.

-   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.

-   */

-  void arm_dct4_q15(

-  const arm_dct4_instance_q15 * S,

-  q15_t * pState,

-  q15_t * pInlineBuffer);

-

-

-  /**

-   * @brief Floating-point vector addition.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_add_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q7 vector addition.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_add_q7(

-  q7_t * pSrcA,

-  q7_t * pSrcB,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q15 vector addition.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_add_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q31 vector addition.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_add_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Floating-point vector subtraction.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_sub_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q7 vector subtraction.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_sub_q7(

-  q7_t * pSrcA,

-  q7_t * pSrcB,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q15 vector subtraction.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_sub_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q31 vector subtraction.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_sub_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Multiplies a floating-point vector by a scalar.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  scale      scale factor to be applied

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_scale_f32(

-  float32_t * pSrc,

-  float32_t scale,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Multiplies a Q7 vector by a scalar.

-   * @param[in]  pSrc        points to the input vector

-   * @param[in]  scaleFract  fractional portion of the scale value

-   * @param[in]  shift       number of bits to shift the result by

-   * @param[out] pDst        points to the output vector

-   * @param[in]  blockSize   number of samples in the vector

-   */

-  void arm_scale_q7(

-  q7_t * pSrc,

-  q7_t scaleFract,

-  int8_t shift,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Multiplies a Q15 vector by a scalar.

-   * @param[in]  pSrc        points to the input vector

-   * @param[in]  scaleFract  fractional portion of the scale value

-   * @param[in]  shift       number of bits to shift the result by

-   * @param[out] pDst        points to the output vector

-   * @param[in]  blockSize   number of samples in the vector

-   */

-  void arm_scale_q15(

-  q15_t * pSrc,

-  q15_t scaleFract,

-  int8_t shift,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Multiplies a Q31 vector by a scalar.

-   * @param[in]  pSrc        points to the input vector

-   * @param[in]  scaleFract  fractional portion of the scale value

-   * @param[in]  shift       number of bits to shift the result by

-   * @param[out] pDst        points to the output vector

-   * @param[in]  blockSize   number of samples in the vector

-   */

-  void arm_scale_q31(

-  q31_t * pSrc,

-  q31_t scaleFract,

-  int8_t shift,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q7 vector absolute value.

-   * @param[in]  pSrc       points to the input buffer

-   * @param[out] pDst       points to the output buffer

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_abs_q7(

-  q7_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Floating-point vector absolute value.

-   * @param[in]  pSrc       points to the input buffer

-   * @param[out] pDst       points to the output buffer

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_abs_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q15 vector absolute value.

-   * @param[in]  pSrc       points to the input buffer

-   * @param[out] pDst       points to the output buffer

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_abs_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Q31 vector absolute value.

-   * @param[in]  pSrc       points to the input buffer

-   * @param[out] pDst       points to the output buffer

-   * @param[in]  blockSize  number of samples in each vector

-   */

-  void arm_abs_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Dot product of floating-point vectors.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[in]  blockSize  number of samples in each vector

-   * @param[out] result     output result returned here

-   */

-  void arm_dot_prod_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  uint32_t blockSize,

-  float32_t * result);

-

-

-  /**

-   * @brief Dot product of Q7 vectors.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[in]  blockSize  number of samples in each vector

-   * @param[out] result     output result returned here

-   */

-  void arm_dot_prod_q7(

-  q7_t * pSrcA,

-  q7_t * pSrcB,

-  uint32_t blockSize,

-  q31_t * result);

-

-

-  /**

-   * @brief Dot product of Q15 vectors.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[in]  blockSize  number of samples in each vector

-   * @param[out] result     output result returned here

-   */

-  void arm_dot_prod_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  uint32_t blockSize,

-  q63_t * result);

-

-

-  /**

-   * @brief Dot product of Q31 vectors.

-   * @param[in]  pSrcA      points to the first input vector

-   * @param[in]  pSrcB      points to the second input vector

-   * @param[in]  blockSize  number of samples in each vector

-   * @param[out] result     output result returned here

-   */

-  void arm_dot_prod_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  uint32_t blockSize,

-  q63_t * result);

-

-

-  /**

-   * @brief  Shifts the elements of a Q7 vector a specified number of bits.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_shift_q7(

-  q7_t * pSrc,

-  int8_t shiftBits,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Shifts the elements of a Q15 vector a specified number of bits.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_shift_q15(

-  q15_t * pSrc,

-  int8_t shiftBits,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Shifts the elements of a Q31 vector a specified number of bits.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_shift_q31(

-  q31_t * pSrc,

-  int8_t shiftBits,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Adds a constant offset to a floating-point vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  offset     is the offset to be added

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_offset_f32(

-  float32_t * pSrc,

-  float32_t offset,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Adds a constant offset to a Q7 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  offset     is the offset to be added

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_offset_q7(

-  q7_t * pSrc,

-  q7_t offset,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Adds a constant offset to a Q15 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  offset     is the offset to be added

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_offset_q15(

-  q15_t * pSrc,

-  q15_t offset,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Adds a constant offset to a Q31 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[in]  offset     is the offset to be added

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_offset_q31(

-  q31_t * pSrc,

-  q31_t offset,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Negates the elements of a floating-point vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_negate_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Negates the elements of a Q7 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_negate_q7(

-  q7_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Negates the elements of a Q15 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_negate_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Negates the elements of a Q31 vector.

-   * @param[in]  pSrc       points to the input vector

-   * @param[out] pDst       points to the output vector

-   * @param[in]  blockSize  number of samples in the vector

-   */

-  void arm_negate_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Copies the elements of a floating-point vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_copy_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Copies the elements of a Q7 vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_copy_q7(

-  q7_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Copies the elements of a Q15 vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_copy_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Copies the elements of a Q31 vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_copy_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Fills a constant value into a floating-point vector.

-   * @param[in]  value      input value to be filled

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_fill_f32(

-  float32_t value,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Fills a constant value into a Q7 vector.

-   * @param[in]  value      input value to be filled

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_fill_q7(

-  q7_t value,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Fills a constant value into a Q15 vector.

-   * @param[in]  value      input value to be filled

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_fill_q15(

-  q15_t value,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Fills a constant value into a Q31 vector.

-   * @param[in]  value      input value to be filled

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_fill_q31(

-  q31_t value,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-/**

- * @brief Convolution of floating-point sequences.

- * @param[in]  pSrcA    points to the first input sequence.

- * @param[in]  srcALen  length of the first input sequence.

- * @param[in]  pSrcB    points to the second input sequence.

- * @param[in]  srcBLen  length of the second input sequence.

- * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.

- */

-  void arm_conv_f32(

-  float32_t * pSrcA,

-  uint32_t srcALen,

-  float32_t * pSrcB,

-  uint32_t srcBLen,

-  float32_t * pDst);

-

-

-  /**

-   * @brief Convolution of Q15 sequences.

-   * @param[in]  pSrcA      points to the first input sequence.

-   * @param[in]  srcALen    length of the first input sequence.

-   * @param[in]  pSrcB      points to the second input sequence.

-   * @param[in]  srcBLen    length of the second input sequence.

-   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.

-   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).

-   */

-  void arm_conv_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-/**

- * @brief Convolution of Q15 sequences.

- * @param[in]  pSrcA    points to the first input sequence.

- * @param[in]  srcALen  length of the first input sequence.

- * @param[in]  pSrcB    points to the second input sequence.

- * @param[in]  srcBLen  length of the second input sequence.

- * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.

- */

-  void arm_conv_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst);

-

-

-  /**

-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.

-   */

-  void arm_conv_fast_q15(

-          q15_t * pSrcA,

-          uint32_t srcALen,

-          q15_t * pSrcB,

-          uint32_t srcBLen,

-          q15_t * pDst);

-

-

-  /**

-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA      points to the first input sequence.

-   * @param[in]  srcALen    length of the first input sequence.

-   * @param[in]  pSrcB      points to the second input sequence.

-   * @param[in]  srcBLen    length of the second input sequence.

-   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.

-   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).

-   */

-  void arm_conv_fast_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-  /**

-   * @brief Convolution of Q31 sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.

-   */

-  void arm_conv_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst);

-

-

-  /**

-   * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.

-   */

-  void arm_conv_fast_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst);

-

-

-    /**

-   * @brief Convolution of Q7 sequences.

-   * @param[in]  pSrcA      points to the first input sequence.

-   * @param[in]  srcALen    length of the first input sequence.

-   * @param[in]  pSrcB      points to the second input sequence.

-   * @param[in]  srcBLen    length of the second input sequence.

-   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.

-   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).

-   */

-  void arm_conv_opt_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-  /**

-   * @brief Convolution of Q7 sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.

-   */

-  void arm_conv_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst);

-

-

-  /**

-   * @brief Partial convolution of floating-point sequences.

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_f32(

-  float32_t * pSrcA,

-  uint32_t srcALen,

-  float32_t * pSrcB,

-  uint32_t srcBLen,

-  float32_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Partial convolution of Q15 sequences.

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-  /**

-   * @brief Partial convolution of Q15 sequences.

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_fast_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_fast_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-  /**

-   * @brief Partial convolution of Q31 sequences.

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_fast_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Partial convolution of Q7 sequences

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @param[in]  pScratch1   points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2   points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_opt_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-/**

-   * @brief Partial convolution of Q7 sequences.

-   * @param[in]  pSrcA       points to the first input sequence.

-   * @param[in]  srcALen     length of the first input sequence.

-   * @param[in]  pSrcB       points to the second input sequence.

-   * @param[in]  srcBLen     length of the second input sequence.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  firstIndex  is the first output sample to start with.

-   * @param[in]  numPoints   is the number of output points to be computed.

-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].

-   */

-  arm_status arm_conv_partial_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst,

-  uint32_t firstIndex,

-  uint32_t numPoints);

-

-

-  /**

-   * @brief Instance structure for the Q15 FIR decimator.

-   */

-  typedef struct

-  {

-    uint8_t M;                  /**< decimation factor. */

-    uint16_t numTaps;           /**< number of coefficients in the filter. */

-    q15_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/

-    q15_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-  } arm_fir_decimate_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 FIR decimator.

-   */

-  typedef struct

-  {

-    uint8_t M;                  /**< decimation factor. */

-    uint16_t numTaps;           /**< number of coefficients in the filter. */

-    q31_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/

-    q31_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-  } arm_fir_decimate_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point FIR decimator.

-   */

-  typedef struct

-  {

-    uint8_t M;                  /**< decimation factor. */

-    uint16_t numTaps;           /**< number of coefficients in the filter. */

-    float32_t *pCoeffs;         /**< points to the coefficient array. The array is of length numTaps.*/

-    float32_t *pState;          /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-  } arm_fir_decimate_instance_f32;

-

-

-  /**

-   * @brief Processing function for the floating-point FIR decimator.

-   * @param[in]  S          points to an instance of the floating-point FIR decimator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_decimate_f32(

-  const arm_fir_decimate_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point FIR decimator.

-   * @param[in,out] S          points to an instance of the floating-point FIR decimator structure.

-   * @param[in]     numTaps    number of coefficients in the filter.

-   * @param[in]     M          decimation factor.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * <code>blockSize</code> is not a multiple of <code>M</code>.

-   */

-  arm_status arm_fir_decimate_init_f32(

-  arm_fir_decimate_instance_f32 * S,

-  uint16_t numTaps,

-  uint8_t M,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q15 FIR decimator.

-   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_decimate_q15(

-  const arm_fir_decimate_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_decimate_fast_q15(

-  const arm_fir_decimate_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q15 FIR decimator.

-   * @param[in,out] S          points to an instance of the Q15 FIR decimator structure.

-   * @param[in]     numTaps    number of coefficients in the filter.

-   * @param[in]     M          decimation factor.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * <code>blockSize</code> is not a multiple of <code>M</code>.

-   */

-  arm_status arm_fir_decimate_init_q15(

-  arm_fir_decimate_instance_q15 * S,

-  uint16_t numTaps,

-  uint8_t M,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 FIR decimator.

-   * @param[in]  S     points to an instance of the Q31 FIR decimator structure.

-   * @param[in]  pSrc  points to the block of input data.

-   * @param[out] pDst  points to the block of output data

-   * @param[in] blockSize number of input samples to process per call.

-   */

-  void arm_fir_decimate_q31(

-  const arm_fir_decimate_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-  /**

-   * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.

-   * @param[in]  S          points to an instance of the Q31 FIR decimator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_decimate_fast_q31(

-  arm_fir_decimate_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q31 FIR decimator.

-   * @param[in,out] S          points to an instance of the Q31 FIR decimator structure.

-   * @param[in]     numTaps    number of coefficients in the filter.

-   * @param[in]     M          decimation factor.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * <code>blockSize</code> is not a multiple of <code>M</code>.

-   */

-  arm_status arm_fir_decimate_init_q31(

-  arm_fir_decimate_instance_q31 * S,

-  uint16_t numTaps,

-  uint8_t M,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q15 FIR interpolator.

-   */

-  typedef struct

-  {

-    uint8_t L;                      /**< upsample factor. */

-    uint16_t phaseLength;           /**< length of each polyphase filter component. */

-    q15_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */

-    q15_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */

-  } arm_fir_interpolate_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 FIR interpolator.

-   */

-  typedef struct

-  {

-    uint8_t L;                      /**< upsample factor. */

-    uint16_t phaseLength;           /**< length of each polyphase filter component. */

-    q31_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */

-    q31_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */

-  } arm_fir_interpolate_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point FIR interpolator.

-   */

-  typedef struct

-  {

-    uint8_t L;                     /**< upsample factor. */

-    uint16_t phaseLength;          /**< length of each polyphase filter component. */

-    float32_t *pCoeffs;            /**< points to the coefficient array. The array is of length L*phaseLength. */

-    float32_t *pState;             /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */

-  } arm_fir_interpolate_instance_f32;

-

-

-  /**

-   * @brief Processing function for the Q15 FIR interpolator.

-   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_interpolate_q15(

-  const arm_fir_interpolate_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q15 FIR interpolator.

-   * @param[in,out] S          points to an instance of the Q15 FIR interpolator structure.

-   * @param[in]     L          upsample factor.

-   * @param[in]     numTaps    number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficient buffer.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.

-   */

-  arm_status arm_fir_interpolate_init_q15(

-  arm_fir_interpolate_instance_q15 * S,

-  uint8_t L,

-  uint16_t numTaps,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 FIR interpolator.

-   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_interpolate_q31(

-  const arm_fir_interpolate_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q31 FIR interpolator.

-   * @param[in,out] S          points to an instance of the Q31 FIR interpolator structure.

-   * @param[in]     L          upsample factor.

-   * @param[in]     numTaps    number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficient buffer.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.

-   */

-  arm_status arm_fir_interpolate_init_q31(

-  arm_fir_interpolate_instance_q31 * S,

-  uint8_t L,

-  uint16_t numTaps,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the floating-point FIR interpolator.

-   * @param[in]  S          points to an instance of the floating-point FIR interpolator structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of input samples to process per call.

-   */

-  void arm_fir_interpolate_f32(

-  const arm_fir_interpolate_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point FIR interpolator.

-   * @param[in,out] S          points to an instance of the floating-point FIR interpolator structure.

-   * @param[in]     L          upsample factor.

-   * @param[in]     numTaps    number of filter coefficients in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficient buffer.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     blockSize  number of input samples to process per call.

-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if

-   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.

-   */

-  arm_status arm_fir_interpolate_init_f32(

-  arm_fir_interpolate_instance_f32 * S,

-  uint8_t L,

-  uint16_t numTaps,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the high precision Q31 Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */

-    q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */

-    uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */

-  } arm_biquad_cas_df1_32x64_ins_q31;

-

-

-  /**

-   * @param[in]  S          points to an instance of the high precision Q31 Biquad cascade filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cas_df1_32x64_q31(

-  const arm_biquad_cas_df1_32x64_ins_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @param[in,out] S          points to an instance of the high precision Q31 Biquad cascade filter structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     postShift  shift to be applied to the output. Varies according to the coefficients format

-   */

-  void arm_biquad_cas_df1_32x64_init_q31(

-  arm_biquad_cas_df1_32x64_ins_q31 * S,

-  uint8_t numStages,

-  q31_t * pCoeffs,

-  q63_t * pState,

-  uint8_t postShift);

-

-

-  /**

-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */

-    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */

-  } arm_biquad_cascade_df2T_instance_f32;

-

-  /**

-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */

-    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */

-  } arm_biquad_cascade_stereo_df2T_instance_f32;

-

-  /**

-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.

-   */

-  typedef struct

-  {

-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */

-    float64_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */

-    float64_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */

-  } arm_biquad_cascade_df2T_instance_f64;

-

-

-  /**

-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.

-   * @param[in]  S          points to an instance of the filter data structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df2T_f32(

-  const arm_biquad_cascade_df2T_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels

-   * @param[in]  S          points to an instance of the filter data structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_stereo_df2T_f32(

-  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.

-   * @param[in]  S          points to an instance of the filter data structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_biquad_cascade_df2T_f64(

-  const arm_biquad_cascade_df2T_instance_f64 * S,

-  float64_t * pSrc,

-  float64_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the filter data structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   */

-  void arm_biquad_cascade_df2T_init_f32(

-  arm_biquad_cascade_df2T_instance_f32 * S,

-  uint8_t numStages,

-  float32_t * pCoeffs,

-  float32_t * pState);

-

-

-  /**

-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the filter data structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   */

-  void arm_biquad_cascade_stereo_df2T_init_f32(

-  arm_biquad_cascade_stereo_df2T_instance_f32 * S,

-  uint8_t numStages,

-  float32_t * pCoeffs,

-  float32_t * pState);

-

-

-  /**

-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.

-   * @param[in,out] S          points to an instance of the filter data structure.

-   * @param[in]     numStages  number of 2nd order stages in the filter.

-   * @param[in]     pCoeffs    points to the filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   */

-  void arm_biquad_cascade_df2T_init_f64(

-  arm_biquad_cascade_df2T_instance_f64 * S,

-  uint8_t numStages,

-  float64_t * pCoeffs,

-  float64_t * pState);

-

-

-  /**

-   * @brief Instance structure for the Q15 FIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of filter stages. */

-    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages. */

-    q15_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */

-  } arm_fir_lattice_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 FIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of filter stages. */

-    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages. */

-    q31_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */

-  } arm_fir_lattice_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point FIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of filter stages. */

-    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages. */

-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */

-  } arm_fir_lattice_instance_f32;

-

-

-  /**

-   * @brief Initialization function for the Q15 FIR lattice filter.

-   * @param[in] S          points to an instance of the Q15 FIR lattice structure.

-   * @param[in] numStages  number of filter stages.

-   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.

-   * @param[in] pState     points to the state buffer.  The array is of length numStages.

-   */

-  void arm_fir_lattice_init_q15(

-  arm_fir_lattice_instance_q15 * S,

-  uint16_t numStages,

-  q15_t * pCoeffs,

-  q15_t * pState);

-

-

-  /**

-   * @brief Processing function for the Q15 FIR lattice filter.

-   * @param[in]  S          points to an instance of the Q15 FIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_lattice_q15(

-  const arm_fir_lattice_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for the Q31 FIR lattice filter.

-   * @param[in] S          points to an instance of the Q31 FIR lattice structure.

-   * @param[in] numStages  number of filter stages.

-   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.

-   * @param[in] pState     points to the state buffer.   The array is of length numStages.

-   */

-  void arm_fir_lattice_init_q31(

-  arm_fir_lattice_instance_q31 * S,

-  uint16_t numStages,

-  q31_t * pCoeffs,

-  q31_t * pState);

-

-

-  /**

-   * @brief Processing function for the Q31 FIR lattice filter.

-   * @param[in]  S          points to an instance of the Q31 FIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_lattice_q31(

-  const arm_fir_lattice_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-/**

- * @brief Initialization function for the floating-point FIR lattice filter.

- * @param[in] S          points to an instance of the floating-point FIR lattice structure.

- * @param[in] numStages  number of filter stages.

- * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.

- * @param[in] pState     points to the state buffer.  The array is of length numStages.

- */

-  void arm_fir_lattice_init_f32(

-  arm_fir_lattice_instance_f32 * S,

-  uint16_t numStages,

-  float32_t * pCoeffs,

-  float32_t * pState);

-

-

-  /**

-   * @brief Processing function for the floating-point FIR lattice filter.

-   * @param[in]  S          points to an instance of the floating-point FIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_fir_lattice_f32(

-  const arm_fir_lattice_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q15 IIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of stages in the filter. */

-    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */

-    q15_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */

-    q15_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */

-  } arm_iir_lattice_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q31 IIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of stages in the filter. */

-    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */

-    q31_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */

-    q31_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */

-  } arm_iir_lattice_instance_q31;

-

-  /**

-   * @brief Instance structure for the floating-point IIR lattice filter.

-   */

-  typedef struct

-  {

-    uint16_t numStages;                  /**< number of stages in the filter. */

-    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages+blockSize. */

-    float32_t *pkCoeffs;                 /**< points to the reflection coefficient array. The array is of length numStages. */

-    float32_t *pvCoeffs;                 /**< points to the ladder coefficient array. The array is of length numStages+1. */

-  } arm_iir_lattice_instance_f32;

-

-

-  /**

-   * @brief Processing function for the floating-point IIR lattice filter.

-   * @param[in]  S          points to an instance of the floating-point IIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_iir_lattice_f32(

-  const arm_iir_lattice_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for the floating-point IIR lattice filter.

-   * @param[in] S          points to an instance of the floating-point IIR lattice structure.

-   * @param[in] numStages  number of stages in the filter.

-   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.

-   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.

-   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize-1.

-   * @param[in] blockSize  number of samples to process.

-   */

-  void arm_iir_lattice_init_f32(

-  arm_iir_lattice_instance_f32 * S,

-  uint16_t numStages,

-  float32_t * pkCoeffs,

-  float32_t * pvCoeffs,

-  float32_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 IIR lattice filter.

-   * @param[in]  S          points to an instance of the Q31 IIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_iir_lattice_q31(

-  const arm_iir_lattice_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for the Q31 IIR lattice filter.

-   * @param[in] S          points to an instance of the Q31 IIR lattice structure.

-   * @param[in] numStages  number of stages in the filter.

-   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.

-   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.

-   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize.

-   * @param[in] blockSize  number of samples to process.

-   */

-  void arm_iir_lattice_init_q31(

-  arm_iir_lattice_instance_q31 * S,

-  uint16_t numStages,

-  q31_t * pkCoeffs,

-  q31_t * pvCoeffs,

-  q31_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q15 IIR lattice filter.

-   * @param[in]  S          points to an instance of the Q15 IIR lattice structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[out] pDst       points to the block of output data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_iir_lattice_q15(

-  const arm_iir_lattice_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-/**

- * @brief Initialization function for the Q15 IIR lattice filter.

- * @param[in] S          points to an instance of the fixed-point Q15 IIR lattice structure.

- * @param[in] numStages  number of stages in the filter.

- * @param[in] pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages.

- * @param[in] pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1.

- * @param[in] pState     points to state buffer.  The array is of length numStages+blockSize.

- * @param[in] blockSize  number of samples to process per call.

- */

-  void arm_iir_lattice_init_q15(

-  arm_iir_lattice_instance_q15 * S,

-  uint16_t numStages,

-  q15_t * pkCoeffs,

-  q15_t * pvCoeffs,

-  q15_t * pState,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the floating-point LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;    /**< number of coefficients in the filter. */

-    float32_t *pState;   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    float32_t *pCoeffs;  /**< points to the coefficient array. The array is of length numTaps. */

-    float32_t mu;        /**< step size that controls filter coefficient updates. */

-  } arm_lms_instance_f32;

-

-

-  /**

-   * @brief Processing function for floating-point LMS filter.

-   * @param[in]  S          points to an instance of the floating-point LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_f32(

-  const arm_lms_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pRef,

-  float32_t * pOut,

-  float32_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for floating-point LMS filter.

-   * @param[in] S          points to an instance of the floating-point LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to the coefficient buffer.

-   * @param[in] pState     points to state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   */

-  void arm_lms_init_f32(

-  arm_lms_instance_f32 * S,

-  uint16_t numTaps,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  float32_t mu,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q15 LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;    /**< number of coefficients in the filter. */

-    q15_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q15_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */

-    q15_t mu;            /**< step size that controls filter coefficient updates. */

-    uint32_t postShift;  /**< bit shift applied to coefficients. */

-  } arm_lms_instance_q15;

-

-

-  /**

-   * @brief Initialization function for the Q15 LMS filter.

-   * @param[in] S          points to an instance of the Q15 LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to the coefficient buffer.

-   * @param[in] pState     points to the state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   * @param[in] postShift  bit shift applied to coefficients.

-   */

-  void arm_lms_init_q15(

-  arm_lms_instance_q15 * S,

-  uint16_t numTaps,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  q15_t mu,

-  uint32_t blockSize,

-  uint32_t postShift);

-

-

-  /**

-   * @brief Processing function for Q15 LMS filter.

-   * @param[in]  S          points to an instance of the Q15 LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_q15(

-  const arm_lms_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pRef,

-  q15_t * pOut,

-  q15_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q31 LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;    /**< number of coefficients in the filter. */

-    q31_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */

-    q31_t mu;            /**< step size that controls filter coefficient updates. */

-    uint32_t postShift;  /**< bit shift applied to coefficients. */

-  } arm_lms_instance_q31;

-

-

-  /**

-   * @brief Processing function for Q31 LMS filter.

-   * @param[in]  S          points to an instance of the Q15 LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_q31(

-  const arm_lms_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pRef,

-  q31_t * pOut,

-  q31_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for Q31 LMS filter.

-   * @param[in] S          points to an instance of the Q31 LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to coefficient buffer.

-   * @param[in] pState     points to state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   * @param[in] postShift  bit shift applied to coefficients.

-   */

-  void arm_lms_init_q31(

-  arm_lms_instance_q31 * S,

-  uint16_t numTaps,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  q31_t mu,

-  uint32_t blockSize,

-  uint32_t postShift);

-

-

-  /**

-   * @brief Instance structure for the floating-point normalized LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;     /**< number of coefficients in the filter. */

-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */

-    float32_t mu;         /**< step size that control filter coefficient updates. */

-    float32_t energy;     /**< saves previous frame energy. */

-    float32_t x0;         /**< saves previous input sample. */

-  } arm_lms_norm_instance_f32;

-

-

-  /**

-   * @brief Processing function for floating-point normalized LMS filter.

-   * @param[in]  S          points to an instance of the floating-point normalized LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_norm_f32(

-  arm_lms_norm_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pRef,

-  float32_t * pOut,

-  float32_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for floating-point normalized LMS filter.

-   * @param[in] S          points to an instance of the floating-point LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to coefficient buffer.

-   * @param[in] pState     points to state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   */

-  void arm_lms_norm_init_f32(

-  arm_lms_norm_instance_f32 * S,

-  uint16_t numTaps,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  float32_t mu,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Instance structure for the Q31 normalized LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;     /**< number of coefficients in the filter. */

-    q31_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q31_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */

-    q31_t mu;             /**< step size that controls filter coefficient updates. */

-    uint8_t postShift;    /**< bit shift applied to coefficients. */

-    q31_t *recipTable;    /**< points to the reciprocal initial value table. */

-    q31_t energy;         /**< saves previous frame energy. */

-    q31_t x0;             /**< saves previous input sample. */

-  } arm_lms_norm_instance_q31;

-

-

-  /**

-   * @brief Processing function for Q31 normalized LMS filter.

-   * @param[in]  S          points to an instance of the Q31 normalized LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_norm_q31(

-  arm_lms_norm_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pRef,

-  q31_t * pOut,

-  q31_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for Q31 normalized LMS filter.

-   * @param[in] S          points to an instance of the Q31 normalized LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to coefficient buffer.

-   * @param[in] pState     points to state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   * @param[in] postShift  bit shift applied to coefficients.

-   */

-  void arm_lms_norm_init_q31(

-  arm_lms_norm_instance_q31 * S,

-  uint16_t numTaps,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  q31_t mu,

-  uint32_t blockSize,

-  uint8_t postShift);

-

-

-  /**

-   * @brief Instance structure for the Q15 normalized LMS filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;     /**< Number of coefficients in the filter. */

-    q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */

-    q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */

-    q15_t mu;             /**< step size that controls filter coefficient updates. */

-    uint8_t postShift;    /**< bit shift applied to coefficients. */

-    q15_t *recipTable;    /**< Points to the reciprocal initial value table. */

-    q15_t energy;         /**< saves previous frame energy. */

-    q15_t x0;             /**< saves previous input sample. */

-  } arm_lms_norm_instance_q15;

-

-

-  /**

-   * @brief Processing function for Q15 normalized LMS filter.

-   * @param[in]  S          points to an instance of the Q15 normalized LMS filter structure.

-   * @param[in]  pSrc       points to the block of input data.

-   * @param[in]  pRef       points to the block of reference data.

-   * @param[out] pOut       points to the block of output data.

-   * @param[out] pErr       points to the block of error data.

-   * @param[in]  blockSize  number of samples to process.

-   */

-  void arm_lms_norm_q15(

-  arm_lms_norm_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pRef,

-  q15_t * pOut,

-  q15_t * pErr,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Initialization function for Q15 normalized LMS filter.

-   * @param[in] S          points to an instance of the Q15 normalized LMS filter structure.

-   * @param[in] numTaps    number of filter coefficients.

-   * @param[in] pCoeffs    points to coefficient buffer.

-   * @param[in] pState     points to state buffer.

-   * @param[in] mu         step size that controls filter coefficient updates.

-   * @param[in] blockSize  number of samples to process.

-   * @param[in] postShift  bit shift applied to coefficients.

-   */

-  void arm_lms_norm_init_q15(

-  arm_lms_norm_instance_q15 * S,

-  uint16_t numTaps,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  q15_t mu,

-  uint32_t blockSize,

-  uint8_t postShift);

-

-

-  /**

-   * @brief Correlation of floating-point sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-  void arm_correlate_f32(

-  float32_t * pSrcA,

-  uint32_t srcALen,

-  float32_t * pSrcB,

-  uint32_t srcBLen,

-  float32_t * pDst);

-

-

-   /**

-   * @brief Correlation of Q15 sequences

-   * @param[in]  pSrcA     points to the first input sequence.

-   * @param[in]  srcALen   length of the first input sequence.

-   * @param[in]  pSrcB     points to the second input sequence.

-   * @param[in]  srcBLen   length of the second input sequence.

-   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   */

-  void arm_correlate_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  q15_t * pScratch);

-

-

-  /**

-   * @brief Correlation of Q15 sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-

-  void arm_correlate_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst);

-

-

-  /**

-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-

-  void arm_correlate_fast_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst);

-

-

-  /**

-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.

-   * @param[in]  pSrcA     points to the first input sequence.

-   * @param[in]  srcALen   length of the first input sequence.

-   * @param[in]  pSrcB     points to the second input sequence.

-   * @param[in]  srcBLen   length of the second input sequence.

-   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   */

-  void arm_correlate_fast_opt_q15(

-  q15_t * pSrcA,

-  uint32_t srcALen,

-  q15_t * pSrcB,

-  uint32_t srcBLen,

-  q15_t * pDst,

-  q15_t * pScratch);

-

-

-  /**

-   * @brief Correlation of Q31 sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-  void arm_correlate_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst);

-

-

-  /**

-   * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-  void arm_correlate_fast_q31(

-  q31_t * pSrcA,

-  uint32_t srcALen,

-  q31_t * pSrcB,

-  uint32_t srcBLen,

-  q31_t * pDst);

-

-

- /**

-   * @brief Correlation of Q7 sequences.

-   * @param[in]  pSrcA      points to the first input sequence.

-   * @param[in]  srcALen    length of the first input sequence.

-   * @param[in]  pSrcB      points to the second input sequence.

-   * @param[in]  srcBLen    length of the second input sequence.

-   * @param[out] pDst       points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.

-   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).

-   */

-  void arm_correlate_opt_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst,

-  q15_t * pScratch1,

-  q15_t * pScratch2);

-

-

-  /**

-   * @brief Correlation of Q7 sequences.

-   * @param[in]  pSrcA    points to the first input sequence.

-   * @param[in]  srcALen  length of the first input sequence.

-   * @param[in]  pSrcB    points to the second input sequence.

-   * @param[in]  srcBLen  length of the second input sequence.

-   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.

-   */

-  void arm_correlate_q7(

-  q7_t * pSrcA,

-  uint32_t srcALen,

-  q7_t * pSrcB,

-  uint32_t srcBLen,

-  q7_t * pDst);

-

-

-  /**

-   * @brief Instance structure for the floating-point sparse FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;             /**< number of coefficients in the filter. */

-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */

-    float32_t *pState;            /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */

-    float32_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/

-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */

-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */

-  } arm_fir_sparse_instance_f32;

-

-  /**

-   * @brief Instance structure for the Q31 sparse FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;             /**< number of coefficients in the filter. */

-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */

-    q31_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */

-    q31_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/

-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */

-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */

-  } arm_fir_sparse_instance_q31;

-

-  /**

-   * @brief Instance structure for the Q15 sparse FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;             /**< number of coefficients in the filter. */

-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */

-    q15_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */

-    q15_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/

-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */

-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */

-  } arm_fir_sparse_instance_q15;

-

-  /**

-   * @brief Instance structure for the Q7 sparse FIR filter.

-   */

-  typedef struct

-  {

-    uint16_t numTaps;             /**< number of coefficients in the filter. */

-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */

-    q7_t *pState;                 /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */

-    q7_t *pCoeffs;                /**< points to the coefficient array. The array is of length numTaps.*/

-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */

-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */

-  } arm_fir_sparse_instance_q7;

-

-

-  /**

-   * @brief Processing function for the floating-point sparse FIR filter.

-   * @param[in]  S           points to an instance of the floating-point sparse FIR structure.

-   * @param[in]  pSrc        points to the block of input data.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.

-   * @param[in]  blockSize   number of input samples to process per call.

-   */

-  void arm_fir_sparse_f32(

-  arm_fir_sparse_instance_f32 * S,

-  float32_t * pSrc,

-  float32_t * pDst,

-  float32_t * pScratchIn,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the floating-point sparse FIR filter.

-   * @param[in,out] S          points to an instance of the floating-point sparse FIR structure.

-   * @param[in]     numTaps    number of nonzero coefficients in the filter.

-   * @param[in]     pCoeffs    points to the array of filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     pTapDelay  points to the array of offset times.

-   * @param[in]     maxDelay   maximum offset time supported.

-   * @param[in]     blockSize  number of samples that will be processed per block.

-   */

-  void arm_fir_sparse_init_f32(

-  arm_fir_sparse_instance_f32 * S,

-  uint16_t numTaps,

-  float32_t * pCoeffs,

-  float32_t * pState,

-  int32_t * pTapDelay,

-  uint16_t maxDelay,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q31 sparse FIR filter.

-   * @param[in]  S           points to an instance of the Q31 sparse FIR structure.

-   * @param[in]  pSrc        points to the block of input data.

-   * @param[out] pDst        points to the block of output data

-   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.

-   * @param[in]  blockSize   number of input samples to process per call.

-   */

-  void arm_fir_sparse_q31(

-  arm_fir_sparse_instance_q31 * S,

-  q31_t * pSrc,

-  q31_t * pDst,

-  q31_t * pScratchIn,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q31 sparse FIR filter.

-   * @param[in,out] S          points to an instance of the Q31 sparse FIR structure.

-   * @param[in]     numTaps    number of nonzero coefficients in the filter.

-   * @param[in]     pCoeffs    points to the array of filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     pTapDelay  points to the array of offset times.

-   * @param[in]     maxDelay   maximum offset time supported.

-   * @param[in]     blockSize  number of samples that will be processed per block.

-   */

-  void arm_fir_sparse_init_q31(

-  arm_fir_sparse_instance_q31 * S,

-  uint16_t numTaps,

-  q31_t * pCoeffs,

-  q31_t * pState,

-  int32_t * pTapDelay,

-  uint16_t maxDelay,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q15 sparse FIR filter.

-   * @param[in]  S            points to an instance of the Q15 sparse FIR structure.

-   * @param[in]  pSrc         points to the block of input data.

-   * @param[out] pDst         points to the block of output data

-   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.

-   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.

-   * @param[in]  blockSize    number of input samples to process per call.

-   */

-  void arm_fir_sparse_q15(

-  arm_fir_sparse_instance_q15 * S,

-  q15_t * pSrc,

-  q15_t * pDst,

-  q15_t * pScratchIn,

-  q31_t * pScratchOut,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q15 sparse FIR filter.

-   * @param[in,out] S          points to an instance of the Q15 sparse FIR structure.

-   * @param[in]     numTaps    number of nonzero coefficients in the filter.

-   * @param[in]     pCoeffs    points to the array of filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     pTapDelay  points to the array of offset times.

-   * @param[in]     maxDelay   maximum offset time supported.

-   * @param[in]     blockSize  number of samples that will be processed per block.

-   */

-  void arm_fir_sparse_init_q15(

-  arm_fir_sparse_instance_q15 * S,

-  uint16_t numTaps,

-  q15_t * pCoeffs,

-  q15_t * pState,

-  int32_t * pTapDelay,

-  uint16_t maxDelay,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Processing function for the Q7 sparse FIR filter.

-   * @param[in]  S            points to an instance of the Q7 sparse FIR structure.

-   * @param[in]  pSrc         points to the block of input data.

-   * @param[out] pDst         points to the block of output data

-   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.

-   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.

-   * @param[in]  blockSize    number of input samples to process per call.

-   */

-  void arm_fir_sparse_q7(

-  arm_fir_sparse_instance_q7 * S,

-  q7_t * pSrc,

-  q7_t * pDst,

-  q7_t * pScratchIn,

-  q31_t * pScratchOut,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Initialization function for the Q7 sparse FIR filter.

-   * @param[in,out] S          points to an instance of the Q7 sparse FIR structure.

-   * @param[in]     numTaps    number of nonzero coefficients in the filter.

-   * @param[in]     pCoeffs    points to the array of filter coefficients.

-   * @param[in]     pState     points to the state buffer.

-   * @param[in]     pTapDelay  points to the array of offset times.

-   * @param[in]     maxDelay   maximum offset time supported.

-   * @param[in]     blockSize  number of samples that will be processed per block.

-   */

-  void arm_fir_sparse_init_q7(

-  arm_fir_sparse_instance_q7 * S,

-  uint16_t numTaps,

-  q7_t * pCoeffs,

-  q7_t * pState,

-  int32_t * pTapDelay,

-  uint16_t maxDelay,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Floating-point sin_cos function.

-   * @param[in]  theta   input value in degrees

-   * @param[out] pSinVal  points to the processed sine output.

-   * @param[out] pCosVal  points to the processed cos output.

-   */

-  void arm_sin_cos_f32(

-  float32_t theta,

-  float32_t * pSinVal,

-  float32_t * pCosVal);

-

-

-  /**

-   * @brief  Q31 sin_cos function.

-   * @param[in]  theta    scaled input value in degrees

-   * @param[out] pSinVal  points to the processed sine output.

-   * @param[out] pCosVal  points to the processed cosine output.

-   */

-  void arm_sin_cos_q31(

-  q31_t theta,

-  q31_t * pSinVal,

-  q31_t * pCosVal);

-

-

-  /**

-   * @brief  Floating-point complex conjugate.

-   * @param[in]  pSrc        points to the input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_conj_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t numSamples);

-

-  /**

-   * @brief  Q31 complex conjugate.

-   * @param[in]  pSrc        points to the input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_conj_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q15 complex conjugate.

-   * @param[in]  pSrc        points to the input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_conj_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Floating-point complex magnitude squared

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_squared_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q31 complex magnitude squared

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_squared_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q15 complex magnitude squared

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_squared_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t numSamples);

-

-

- /**

-   * @ingroup groupController

-   */

-

-  /**

-   * @defgroup PID PID Motor Control

-   *

-   * A Proportional Integral Derivative (PID) controller is a generic feedback control

-   * loop mechanism widely used in industrial control systems.

-   * A PID controller is the most commonly used type of feedback controller.

-   *

-   * This set of functions implements (PID) controllers

-   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample

-   * of data and each call to the function returns a single processed value.

-   * <code>S</code> points to an instance of the PID control data structure.  <code>in</code>

-   * is the input sample value. The functions return the output value.

-   *

-   * \par Algorithm:

-   * <pre>

-   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]

-   *    A0 = Kp + Ki + Kd

-   *    A1 = (-Kp ) - (2 * Kd )

-   *    A2 = Kd  </pre>

-   *

-   * \par

-   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant

-   *

-   * \par

-   * \image html PID.gif "Proportional Integral Derivative Controller"

-   *

-   * \par

-   * The PID controller calculates an "error" value as the difference between

-   * the measured output and the reference input.

-   * The controller attempts to minimize the error by adjusting the process control inputs.

-   * The proportional value determines the reaction to the current error,

-   * the integral value determines the reaction based on the sum of recent errors,

-   * and the derivative value determines the reaction based on the rate at which the error has been changing.

-   *

-   * \par Instance Structure

-   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.

-   * A separate instance structure must be defined for each PID Controller.

-   * There are separate instance structure declarations for each of the 3 supported data types.

-   *

-   * \par Reset Functions

-   * There is also an associated reset function for each data type which clears the state array.

-   *

-   * \par Initialization Functions

-   * There is also an associated initialization function for each data type.

-   * The initialization function performs the following operations:

-   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.

-   * - Zeros out the values in the state buffer.

-   *

-   * \par

-   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.

-   *

-   * \par Fixed-Point Behavior

-   * Care must be taken when using the fixed-point versions of the PID Controller functions.

-   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.

-   * Refer to the function specific documentation below for usage guidelines.

-   */

-

-  /**

-   * @addtogroup PID

-   * @{

-   */

-

-  /**

-   * @brief  Process function for the floating-point PID Control.

-   * @param[in,out] S   is an instance of the floating-point PID Control structure

-   * @param[in]     in  input sample to process

-   * @return out processed output sample.

-   */

-  CMSIS_INLINE __STATIC_INLINE float32_t arm_pid_f32(

-  arm_pid_instance_f32 * S,

-  float32_t in)

-  {

-    float32_t out;

-

-    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */

-    out = (S->A0 * in) +

-      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);

-

-    /* Update state */

-    S->state[1] = S->state[0];

-    S->state[0] = in;

-    S->state[2] = out;

-

-    /* return to application */

-    return (out);

-

-  }

-

-  /**

-   * @brief  Process function for the Q31 PID Control.

-   * @param[in,out] S  points to an instance of the Q31 PID Control structure

-   * @param[in]     in  input sample to process

-   * @return out processed output sample.

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using an internal 64-bit accumulator.

-   * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.

-   * Thus, if the accumulator result overflows it wraps around rather than clip.

-   * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.

-   * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.

-   */

-  CMSIS_INLINE __STATIC_INLINE q31_t arm_pid_q31(

-  arm_pid_instance_q31 * S,

-  q31_t in)

-  {

-    q63_t acc;

-    q31_t out;

-

-    /* acc = A0 * x[n]  */

-    acc = (q63_t) S->A0 * in;

-

-    /* acc += A1 * x[n-1] */

-    acc += (q63_t) S->A1 * S->state[0];

-

-    /* acc += A2 * x[n-2]  */

-    acc += (q63_t) S->A2 * S->state[1];

-

-    /* convert output to 1.31 format to add y[n-1] */

-    out = (q31_t) (acc >> 31U);

-

-    /* out += y[n-1] */

-    out += S->state[2];

-

-    /* Update state */

-    S->state[1] = S->state[0];

-    S->state[0] = in;

-    S->state[2] = out;

-

-    /* return to application */

-    return (out);

-  }

-

-

-  /**

-   * @brief  Process function for the Q15 PID Control.

-   * @param[in,out] S   points to an instance of the Q15 PID Control structure

-   * @param[in]     in  input sample to process

-   * @return out processed output sample.

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using a 64-bit internal accumulator.

-   * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.

-   * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.

-   * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.

-   * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.

-   * Lastly, the accumulator is saturated to yield a result in 1.15 format.

-   */

-  CMSIS_INLINE __STATIC_INLINE q15_t arm_pid_q15(

-  arm_pid_instance_q15 * S,

-  q15_t in)

-  {

-    q63_t acc;

-    q15_t out;

-

-#if defined (ARM_MATH_DSP)

-    __SIMD32_TYPE *vstate;

-

-    /* Implementation of PID controller */

-

-    /* acc = A0 * x[n]  */

-    acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);

-

-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */

-    vstate = __SIMD32_CONST(S->state);

-    acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)*vstate, (uint64_t)acc);

-#else

-    /* acc = A0 * x[n]  */

-    acc = ((q31_t) S->A0) * in;

-

-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */

-    acc += (q31_t) S->A1 * S->state[0];

-    acc += (q31_t) S->A2 * S->state[1];

-#endif

-

-    /* acc += y[n-1] */

-    acc += (q31_t) S->state[2] << 15;

-

-    /* saturate the output */

-    out = (q15_t) (__SSAT((acc >> 15), 16));

-

-    /* Update state */

-    S->state[1] = S->state[0];

-    S->state[0] = in;

-    S->state[2] = out;

-

-    /* return to application */

-    return (out);

-  }

-

-  /**

-   * @} end of PID group

-   */

-

-

-  /**

-   * @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);

-

-

-

-  /**

-   * @ingroup groupController

-   */

-

-  /**

-   * @defgroup clarke Vector Clarke Transform

-   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.

-   * Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents

-   * in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.

-   * When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below

-   * \image html clarke.gif Stator current space vector and its components in (a,b).

-   * and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>

-   * can be calculated using only <code>Ia</code> and <code>Ib</code>.

-   *

-   * The function operates on a single sample of data and each call to the function returns the processed output.

-   * The library provides separate functions for Q31 and floating-point data types.

-   * \par Algorithm

-   * \image html clarkeFormula.gif

-   * where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and

-   * <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector.

-   * \par Fixed-Point Behavior

-   * Care must be taken when using the Q31 version of the Clarke transform.

-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.

-   * Refer to the function specific documentation below for usage guidelines.

-   */

-

-  /**

-   * @addtogroup clarke

-   * @{

-   */

-

-  /**

-   *

-   * @brief  Floating-point Clarke transform

-   * @param[in]  Ia       input three-phase coordinate <code>a</code>

-   * @param[in]  Ib       input three-phase coordinate <code>b</code>

-   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha

-   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_clarke_f32(

-  float32_t Ia,

-  float32_t Ib,

-  float32_t * pIalpha,

-  float32_t * pIbeta)

-  {

-    /* Calculate pIalpha using the equation, pIalpha = Ia */

-    *pIalpha = Ia;

-

-    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */

-    *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);

-  }

-

-

-  /**

-   * @brief  Clarke transform for Q31 version

-   * @param[in]  Ia       input three-phase coordinate <code>a</code>

-   * @param[in]  Ib       input three-phase coordinate <code>b</code>

-   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha

-   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using an internal 32-bit accumulator.

-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.

-   * There is saturation on the addition, hence there is no risk of overflow.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_clarke_q31(

-  q31_t Ia,

-  q31_t Ib,

-  q31_t * pIalpha,

-  q31_t * pIbeta)

-  {

-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */

-

-    /* Calculating pIalpha from Ia by equation pIalpha = Ia */

-    *pIalpha = Ia;

-

-    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */

-    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);

-

-    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */

-    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);

-

-    /* pIbeta is calculated by adding the intermediate products */

-    *pIbeta = __QADD(product1, product2);

-  }

-

-  /**

-   * @} end of clarke group

-   */

-

-  /**

-   * @brief  Converts the elements of the Q7 vector to Q31 vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_q7_to_q31(

-  q7_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-

-  /**

-   * @ingroup groupController

-   */

-

-  /**

-   * @defgroup inv_clarke Vector Inverse Clarke Transform

-   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.

-   *

-   * The function operates on a single sample of data and each call to the function returns the processed output.

-   * The library provides separate functions for Q31 and floating-point data types.

-   * \par Algorithm

-   * \image html clarkeInvFormula.gif

-   * where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and

-   * <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector.

-   * \par Fixed-Point Behavior

-   * Care must be taken when using the Q31 version of the Clarke transform.

-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.

-   * Refer to the function specific documentation below for usage guidelines.

-   */

-

-  /**

-   * @addtogroup inv_clarke

-   * @{

-   */

-

-   /**

-   * @brief  Floating-point Inverse Clarke transform

-   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha

-   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta

-   * @param[out] pIa     points to output three-phase coordinate <code>a</code>

-   * @param[out] pIb     points to output three-phase coordinate <code>b</code>

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_f32(

-  float32_t Ialpha,

-  float32_t Ibeta,

-  float32_t * pIa,

-  float32_t * pIb)

-  {

-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */

-    *pIa = Ialpha;

-

-    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */

-    *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;

-  }

-

-

-  /**

-   * @brief  Inverse Clarke transform for Q31 version

-   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha

-   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta

-   * @param[out] pIa     points to output three-phase coordinate <code>a</code>

-   * @param[out] pIb     points to output three-phase coordinate <code>b</code>

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using an internal 32-bit accumulator.

-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.

-   * There is saturation on the subtraction, hence there is no risk of overflow.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_q31(

-  q31_t Ialpha,

-  q31_t Ibeta,

-  q31_t * pIa,

-  q31_t * pIb)

-  {

-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */

-

-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */

-    *pIa = Ialpha;

-

-    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */

-    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);

-

-    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */

-    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);

-

-    /* pIb is calculated by subtracting the products */

-    *pIb = __QSUB(product2, product1);

-  }

-

-  /**

-   * @} end of inv_clarke group

-   */

-

-  /**

-   * @brief  Converts the elements of the Q7 vector to Q15 vector.

-   * @param[in]  pSrc       input pointer

-   * @param[out] pDst       output pointer

-   * @param[in]  blockSize  number of samples to process

-   */

-  void arm_q7_to_q15(

-  q7_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-

-  /**

-   * @ingroup groupController

-   */

-

-  /**

-   * @defgroup park Vector Park Transform

-   *

-   * Forward Park transform converts the input two-coordinate vector to flux and torque components.

-   * The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents

-   * from the stationary to the moving reference frame and control the spatial relationship between

-   * the stator vector current and rotor flux vector.

-   * If we consider the d axis aligned with the rotor flux, the diagram below shows the

-   * current vector and the relationship from the two reference frames:

-   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"

-   *

-   * The function operates on a single sample of data and each call to the function returns the processed output.

-   * The library provides separate functions for Q31 and floating-point data types.

-   * \par Algorithm

-   * \image html parkFormula.gif

-   * where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,

-   * <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the

-   * cosine and sine values of theta (rotor flux position).

-   * \par Fixed-Point Behavior

-   * Care must be taken when using the Q31 version of the Park transform.

-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.

-   * Refer to the function specific documentation below for usage guidelines.

-   */

-

-  /**

-   * @addtogroup park

-   * @{

-   */

-

-  /**

-   * @brief Floating-point Park transform

-   * @param[in]  Ialpha  input two-phase vector coordinate alpha

-   * @param[in]  Ibeta   input two-phase vector coordinate beta

-   * @param[out] pId     points to output   rotor reference frame d

-   * @param[out] pIq     points to output   rotor reference frame q

-   * @param[in]  sinVal  sine value of rotation angle theta

-   * @param[in]  cosVal  cosine value of rotation angle theta

-   *

-   * The function implements the forward Park transform.

-   *

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_park_f32(

-  float32_t Ialpha,

-  float32_t Ibeta,

-  float32_t * pId,

-  float32_t * pIq,

-  float32_t sinVal,

-  float32_t cosVal)

-  {

-    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */

-    *pId = Ialpha * cosVal + Ibeta * sinVal;

-

-    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */

-    *pIq = -Ialpha * sinVal + Ibeta * cosVal;

-  }

-

-

-  /**

-   * @brief  Park transform for Q31 version

-   * @param[in]  Ialpha  input two-phase vector coordinate alpha

-   * @param[in]  Ibeta   input two-phase vector coordinate beta

-   * @param[out] pId     points to output rotor reference frame d

-   * @param[out] pIq     points to output rotor reference frame q

-   * @param[in]  sinVal  sine value of rotation angle theta

-   * @param[in]  cosVal  cosine value of rotation angle theta

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using an internal 32-bit accumulator.

-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.

-   * There is saturation on the addition and subtraction, hence there is no risk of overflow.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_park_q31(

-  q31_t Ialpha,

-  q31_t Ibeta,

-  q31_t * pId,

-  q31_t * pIq,

-  q31_t sinVal,

-  q31_t cosVal)

-  {

-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */

-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */

-

-    /* Intermediate product is calculated by (Ialpha * cosVal) */

-    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);

-

-    /* Intermediate product is calculated by (Ibeta * sinVal) */

-    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);

-

-

-    /* Intermediate product is calculated by (Ialpha * sinVal) */

-    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);

-

-    /* Intermediate product is calculated by (Ibeta * cosVal) */

-    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);

-

-    /* Calculate pId by adding the two intermediate products 1 and 2 */

-    *pId = __QADD(product1, product2);

-

-    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */

-    *pIq = __QSUB(product4, product3);

-  }

-

-  /**

-   * @} end of park group

-   */

-

-  /**

-   * @brief  Converts the elements of the Q7 vector to floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q7_to_float(

-  q7_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @ingroup groupController

-   */

-

-  /**

-   * @defgroup inv_park Vector Inverse Park transform

-   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.

-   *

-   * The function operates on a single sample of data and each call to the function returns the processed output.

-   * The library provides separate functions for Q31 and floating-point data types.

-   * \par Algorithm

-   * \image html parkInvFormula.gif

-   * where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,

-   * <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the

-   * cosine and sine values of theta (rotor flux position).

-   * \par Fixed-Point Behavior

-   * Care must be taken when using the Q31 version of the Park transform.

-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.

-   * Refer to the function specific documentation below for usage guidelines.

-   */

-

-  /**

-   * @addtogroup inv_park

-   * @{

-   */

-

-   /**

-   * @brief  Floating-point Inverse Park transform

-   * @param[in]  Id       input coordinate of rotor reference frame d

-   * @param[in]  Iq       input coordinate of rotor reference frame q

-   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha

-   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta

-   * @param[in]  sinVal   sine value of rotation angle theta

-   * @param[in]  cosVal   cosine value of rotation angle theta

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_inv_park_f32(

-  float32_t Id,

-  float32_t Iq,

-  float32_t * pIalpha,

-  float32_t * pIbeta,

-  float32_t sinVal,

-  float32_t cosVal)

-  {

-    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */

-    *pIalpha = Id * cosVal - Iq * sinVal;

-

-    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */

-    *pIbeta = Id * sinVal + Iq * cosVal;

-  }

-

-

-  /**

-   * @brief  Inverse Park transform for   Q31 version

-   * @param[in]  Id       input coordinate of rotor reference frame d

-   * @param[in]  Iq       input coordinate of rotor reference frame q

-   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha

-   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta

-   * @param[in]  sinVal   sine value of rotation angle theta

-   * @param[in]  cosVal   cosine value of rotation angle theta

-   *

-   * <b>Scaling and Overflow Behavior:</b>

-   * \par

-   * The function is implemented using an internal 32-bit accumulator.

-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.

-   * There is saturation on the addition, hence there is no risk of overflow.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_inv_park_q31(

-  q31_t Id,

-  q31_t Iq,

-  q31_t * pIalpha,

-  q31_t * pIbeta,

-  q31_t sinVal,

-  q31_t cosVal)

-  {

-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */

-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */

-

-    /* Intermediate product is calculated by (Id * cosVal) */

-    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);

-

-    /* Intermediate product is calculated by (Iq * sinVal) */

-    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);

-

-

-    /* Intermediate product is calculated by (Id * sinVal) */

-    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);

-

-    /* Intermediate product is calculated by (Iq * cosVal) */

-    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);

-

-    /* Calculate pIalpha by using the two intermediate products 1 and 2 */

-    *pIalpha = __QSUB(product1, product2);

-

-    /* Calculate pIbeta by using the two intermediate products 3 and 4 */

-    *pIbeta = __QADD(product4, product3);

-  }

-

-  /**

-   * @} end of Inverse park group

-   */

-

-

-  /**

-   * @brief  Converts the elements of the Q31 vector to floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q31_to_float(

-  q31_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-  /**

-   * @ingroup groupInterpolation

-   */

-

-  /**

-   * @defgroup LinearInterpolate Linear Interpolation

-   *

-   * Linear interpolation is a method of curve fitting using linear polynomials.

-   * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line

-   *

-   * \par

-   * \image html LinearInterp.gif "Linear interpolation"

-   *

-   * \par

-   * A  Linear Interpolate function calculates an output value(y), for the input(x)

-   * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)

-   *

-   * \par Algorithm:

-   * <pre>

-   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))

-   *       where x0, x1 are nearest values of input x

-   *             y0, y1 are nearest values to output y

-   * </pre>

-   *

-   * \par

-   * This set of functions implements Linear interpolation process

-   * for Q7, Q15, Q31, and floating-point data types.  The functions operate on a single

-   * sample of data and each call to the function returns a single processed value.

-   * <code>S</code> points to an instance of the Linear Interpolate function data structure.

-   * <code>x</code> is the input sample value. The functions returns the output value.

-   *

-   * \par

-   * if x is outside of the table boundary, Linear interpolation returns first value of the table

-   * if x is below input range and returns last value of table if x is above range.

-   */

-

-  /**

-   * @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.

-   *

-   */

-  CMSIS_INLINE __STATIC_INLINE float32_t arm_linear_interp_f32(

-  arm_linear_interp_instance_f32 * S,

-  float32_t x)

-  {

-    float32_t y;

-    float32_t x0, x1;                            /* Nearest input values */

-    float32_t y0, y1;                            /* Nearest output values */

-    float32_t xSpacing = S->xSpacing;            /* spacing between input values */

-    int32_t i;                                   /* Index variable */

-    float32_t *pYData = S->pYData;               /* pointer to output table */

-

-    /* Calculation of index */

-    i = (int32_t) ((x - S->x1) / xSpacing);

-

-    if (i < 0)

-    {

-      /* Iniatilize output for below specified range as least output value of table */

-      y = pYData[0];

-    }

-    else if ((uint32_t)i >= S->nValues)

-    {

-      /* Iniatilize output for above specified range as last output value of table */

-      y = pYData[S->nValues - 1];

-    }

-    else

-    {

-      /* Calculation of nearest input values */

-      x0 = S->x1 +  i      * xSpacing;

-      x1 = S->x1 + (i + 1) * xSpacing;

-

-      /* Read of nearest output values */

-      y0 = pYData[i];

-      y1 = pYData[i + 1];

-

-      /* Calculation of output */

-      y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));

-

-    }

-

-    /* returns output value */

-    return (y);

-  }

-

-

-   /**

-   *

-   * @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.

-   *

-   */

-  CMSIS_INLINE __STATIC_INLINE q31_t arm_linear_interp_q31(

-  q31_t * pYData,

-  q31_t x,

-  uint32_t nValues)

-  {

-    q31_t y;                                     /* output */

-    q31_t y0, y1;                                /* Nearest output values */

-    q31_t fract;                                 /* fractional part */

-    int32_t index;                               /* Index to read nearest output values */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    index = ((x & (q31_t)0xFFF00000) >> 20);

-

-    if (index >= (int32_t)(nValues - 1))

-    {

-      return (pYData[nValues - 1]);

-    }

-    else if (index < 0)

-    {

-      return (pYData[0]);

-    }

-    else

-    {

-      /* 20 bits for the fractional part */

-      /* shift left by 11 to keep fract in 1.31 format */

-      fract = (x & 0x000FFFFF) << 11;

-

-      /* Read two nearest output values from the index in 1.31(q31) format */

-      y0 = pYData[index];

-      y1 = pYData[index + 1];

-

-      /* Calculation of y0 * (1-fract) and y is in 2.30 format */

-      y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));

-

-      /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */

-      y += ((q31_t) (((q63_t) y1 * fract) >> 32));

-

-      /* Convert y to 1.31 format */

-      return (y << 1U);

-    }

-  }

-

-

-  /**

-   *

-   * @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.

-   *

-   */

-  CMSIS_INLINE __STATIC_INLINE q15_t arm_linear_interp_q15(

-  q15_t * pYData,

-  q31_t x,

-  uint32_t nValues)

-  {

-    q63_t y;                                     /* output */

-    q15_t y0, y1;                                /* Nearest output values */

-    q31_t fract;                                 /* fractional part */

-    int32_t index;                               /* Index to read nearest output values */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    index = ((x & (int32_t)0xFFF00000) >> 20);

-

-    if (index >= (int32_t)(nValues - 1))

-    {

-      return (pYData[nValues - 1]);

-    }

-    else if (index < 0)

-    {

-      return (pYData[0]);

-    }

-    else

-    {

-      /* 20 bits for the fractional part */

-      /* fract is in 12.20 format */

-      fract = (x & 0x000FFFFF);

-

-      /* Read two nearest output values from the index */

-      y0 = pYData[index];

-      y1 = pYData[index + 1];

-

-      /* Calculation of y0 * (1-fract) and y is in 13.35 format */

-      y = ((q63_t) y0 * (0xFFFFF - fract));

-

-      /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */

-      y += ((q63_t) y1 * (fract));

-

-      /* convert y to 1.15 format */

-      return (q15_t) (y >> 20);

-    }

-  }

-

-

-  /**

-   *

-   * @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.

-   */

-  CMSIS_INLINE __STATIC_INLINE q7_t arm_linear_interp_q7(

-  q7_t * pYData,

-  q31_t x,

-  uint32_t nValues)

-  {

-    q31_t y;                                     /* output */

-    q7_t y0, y1;                                 /* Nearest output values */

-    q31_t fract;                                 /* fractional part */

-    uint32_t index;                              /* Index to read nearest output values */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    if (x < 0)

-    {

-      return (pYData[0]);

-    }

-    index = (x >> 20) & 0xfff;

-

-    if (index >= (nValues - 1))

-    {

-      return (pYData[nValues - 1]);

-    }

-    else

-    {

-      /* 20 bits for the fractional part */

-      /* fract is in 12.20 format */

-      fract = (x & 0x000FFFFF);

-

-      /* Read two nearest output values from the index and are in 1.7(q7) format */

-      y0 = pYData[index];

-      y1 = pYData[index + 1];

-

-      /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */

-      y = ((y0 * (0xFFFFF - fract)));

-

-      /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */

-      y += (y1 * fract);

-

-      /* convert y to 1.7(q7) format */

-      return (q7_t) (y >> 20);

-     }

-  }

-

-  /**

-   * @} end of LinearInterpolate group

-   */

-

-  /**

-   * @brief  Fast approximation to the trigonometric sine function for floating-point data.

-   * @param[in] x  input value in radians.

-   * @return  sin(x).

-   */

-  float32_t arm_sin_f32(

-  float32_t x);

-

-

-  /**

-   * @brief  Fast approximation to the trigonometric sine function for Q31 data.

-   * @param[in] x  Scaled input value in radians.

-   * @return  sin(x).

-   */

-  q31_t arm_sin_q31(

-  q31_t x);

-

-

-  /**

-   * @brief  Fast approximation to the trigonometric sine function for Q15 data.

-   * @param[in] x  Scaled input value in radians.

-   * @return  sin(x).

-   */

-  q15_t arm_sin_q15(

-  q15_t x);

-

-

-  /**

-   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.

-   * @param[in] x  input value in radians.

-   * @return  cos(x).

-   */

-  float32_t arm_cos_f32(

-  float32_t x);

-

-

-  /**

-   * @brief Fast approximation to the trigonometric cosine function for Q31 data.

-   * @param[in] x  Scaled input value in radians.

-   * @return  cos(x).

-   */

-  q31_t arm_cos_q31(

-  q31_t x);

-

-

-  /**

-   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.

-   * @param[in] x  Scaled input value in radians.

-   * @return  cos(x).

-   */

-  q15_t arm_cos_q15(

-  q15_t x);

-

-

-  /**

-   * @ingroup groupFastMath

-   */

-

-

-  /**

-   * @defgroup SQRT Square Root

-   *

-   * Computes the square root of a number.

-   * There are separate functions for Q15, Q31, and floating-point data types.

-   * The square root function is computed using the Newton-Raphson algorithm.

-   * This is an iterative algorithm of the form:

-   * <pre>

-   *      x1 = x0 - f(x0)/f'(x0)

-   * </pre>

-   * where <code>x1</code> is the current estimate,

-   * <code>x0</code> is the previous estimate, and

-   * <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.

-   * For the square root function, the algorithm reduces to:

-   * <pre>

-   *     x0 = in/2                         [initial guess]

-   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]

-   * </pre>

-   */

-

-

-  /**

-   * @addtogroup SQRT

-   * @{

-   */

-

-  /**

-   * @brief  Floating-point square root function.

-   * @param[in]  in    input value.

-   * @param[out] pOut  square root of input value.

-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if

-   * <code>in</code> is negative value and returns zero output for negative values.

-   */

-  CMSIS_INLINE __STATIC_INLINE arm_status arm_sqrt_f32(

-  float32_t in,

-  float32_t * pOut)

-  {

-    if (in >= 0.0f)

-    {

-

-#if   (__FPU_USED == 1) && defined ( __CC_ARM   )

-      *pOut = __sqrtf(in);

-#elif (__FPU_USED == 1) && (defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050))

-      *pOut = __builtin_sqrtf(in);

-#elif (__FPU_USED == 1) && defined(__GNUC__)

-      *pOut = __builtin_sqrtf(in);

-#elif (__FPU_USED == 1) && defined ( __ICCARM__ ) && (__VER__ >= 6040000)

-      __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));

-#else

-      *pOut = sqrtf(in);

-#endif

-

-      return (ARM_MATH_SUCCESS);

-    }

-    else

-    {

-      *pOut = 0.0f;

-      return (ARM_MATH_ARGUMENT_ERROR);

-    }

-  }

-

-

-  /**

-   * @brief Q31 square root function.

-   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.

-   * @param[out] pOut  square root of input value.

-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if

-   * <code>in</code> is negative value and returns zero output for negative values.

-   */

-  arm_status arm_sqrt_q31(

-  q31_t in,

-  q31_t * pOut);

-

-

-  /**

-   * @brief  Q15 square root function.

-   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.

-   * @param[out] pOut  square root of input value.

-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if

-   * <code>in</code> is negative value and returns zero output for negative values.

-   */

-  arm_status arm_sqrt_q15(

-  q15_t in,

-  q15_t * pOut);

-

-  /**

-   * @} end of SQRT group

-   */

-

-

-  /**

-   * @brief floating-point Circular write function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_f32(

-  int32_t * circBuffer,

-  int32_t L,

-  uint16_t * writeOffset,

-  int32_t bufferInc,

-  const int32_t * src,

-  int32_t srcInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0U;

-    int32_t wOffset;

-

-    /* Copy the value of Index pointer that points

-     * to the current location where the input samples to be copied */

-    wOffset = *writeOffset;

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the input sample to the circular buffer */

-      circBuffer[wOffset] = *src;

-

-      /* Update the input pointer */

-      src += srcInc;

-

-      /* Circularly update wOffset.  Watch out for positive and negative value */

-      wOffset += bufferInc;

-      if (wOffset >= L)

-        wOffset -= L;

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *writeOffset = (uint16_t)wOffset;

-  }

-

-

-

-  /**

-   * @brief floating-point Circular Read function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularRead_f32(

-  int32_t * circBuffer,

-  int32_t L,

-  int32_t * readOffset,

-  int32_t bufferInc,

-  int32_t * dst,

-  int32_t * dst_base,

-  int32_t dst_length,

-  int32_t dstInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0U;

-    int32_t rOffset, dst_end;

-

-    /* Copy the value of Index pointer that points

-     * to the current location from where the input samples to be read */

-    rOffset = *readOffset;

-    dst_end = (int32_t) (dst_base + dst_length);

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the sample from the circular buffer to the destination buffer */

-      *dst = circBuffer[rOffset];

-

-      /* Update the input pointer */

-      dst += dstInc;

-

-      if (dst == (int32_t *) dst_end)

-      {

-        dst = dst_base;

-      }

-

-      /* Circularly update rOffset.  Watch out for positive and negative value  */

-      rOffset += bufferInc;

-

-      if (rOffset >= L)

-      {

-        rOffset -= L;

-      }

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *readOffset = rOffset;

-  }

-

-

-  /**

-   * @brief Q15 Circular write function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_q15(

-  q15_t * circBuffer,

-  int32_t L,

-  uint16_t * writeOffset,

-  int32_t bufferInc,

-  const q15_t * src,

-  int32_t srcInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0U;

-    int32_t wOffset;

-

-    /* Copy the value of Index pointer that points

-     * to the current location where the input samples to be copied */

-    wOffset = *writeOffset;

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the input sample to the circular buffer */

-      circBuffer[wOffset] = *src;

-

-      /* Update the input pointer */

-      src += srcInc;

-

-      /* Circularly update wOffset.  Watch out for positive and negative value */

-      wOffset += bufferInc;

-      if (wOffset >= L)

-        wOffset -= L;

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *writeOffset = (uint16_t)wOffset;

-  }

-

-

-  /**

-   * @brief Q15 Circular Read function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularRead_q15(

-  q15_t * circBuffer,

-  int32_t L,

-  int32_t * readOffset,

-  int32_t bufferInc,

-  q15_t * dst,

-  q15_t * dst_base,

-  int32_t dst_length,

-  int32_t dstInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0;

-    int32_t rOffset, dst_end;

-

-    /* Copy the value of Index pointer that points

-     * to the current location from where the input samples to be read */

-    rOffset = *readOffset;

-

-    dst_end = (int32_t) (dst_base + dst_length);

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the sample from the circular buffer to the destination buffer */

-      *dst = circBuffer[rOffset];

-

-      /* Update the input pointer */

-      dst += dstInc;

-

-      if (dst == (q15_t *) dst_end)

-      {

-        dst = dst_base;

-      }

-

-      /* Circularly update wOffset.  Watch out for positive and negative value */

-      rOffset += bufferInc;

-

-      if (rOffset >= L)

-      {

-        rOffset -= L;

-      }

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *readOffset = rOffset;

-  }

-

-

-  /**

-   * @brief Q7 Circular write function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_q7(

-  q7_t * circBuffer,

-  int32_t L,

-  uint16_t * writeOffset,

-  int32_t bufferInc,

-  const q7_t * src,

-  int32_t srcInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0U;

-    int32_t wOffset;

-

-    /* Copy the value of Index pointer that points

-     * to the current location where the input samples to be copied */

-    wOffset = *writeOffset;

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the input sample to the circular buffer */

-      circBuffer[wOffset] = *src;

-

-      /* Update the input pointer */

-      src += srcInc;

-

-      /* Circularly update wOffset.  Watch out for positive and negative value */

-      wOffset += bufferInc;

-      if (wOffset >= L)

-        wOffset -= L;

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *writeOffset = (uint16_t)wOffset;

-  }

-

-

-  /**

-   * @brief Q7 Circular Read function.

-   */

-  CMSIS_INLINE __STATIC_INLINE void arm_circularRead_q7(

-  q7_t * circBuffer,

-  int32_t L,

-  int32_t * readOffset,

-  int32_t bufferInc,

-  q7_t * dst,

-  q7_t * dst_base,

-  int32_t dst_length,

-  int32_t dstInc,

-  uint32_t blockSize)

-  {

-    uint32_t i = 0;

-    int32_t rOffset, dst_end;

-

-    /* Copy the value of Index pointer that points

-     * to the current location from where the input samples to be read */

-    rOffset = *readOffset;

-

-    dst_end = (int32_t) (dst_base + dst_length);

-

-    /* Loop over the blockSize */

-    i = blockSize;

-

-    while (i > 0U)

-    {

-      /* copy the sample from the circular buffer to the destination buffer */

-      *dst = circBuffer[rOffset];

-

-      /* Update the input pointer */

-      dst += dstInc;

-

-      if (dst == (q7_t *) dst_end)

-      {

-        dst = dst_base;

-      }

-

-      /* Circularly update rOffset.  Watch out for positive and negative value */

-      rOffset += bufferInc;

-

-      if (rOffset >= L)

-      {

-        rOffset -= L;

-      }

-

-      /* Decrement the loop counter */

-      i--;

-    }

-

-    /* Update the index pointer */

-    *readOffset = rOffset;

-  }

-

-

-  /**

-   * @brief  Sum of the squares of the elements of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_power_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q63_t * pResult);

-

-

-  /**

-   * @brief  Sum of the squares of the elements of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_power_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult);

-

-

-  /**

-   * @brief  Sum of the squares of the elements of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_power_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q63_t * pResult);

-

-

-  /**

-   * @brief  Sum of the squares of the elements of a Q7 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_power_q7(

-  q7_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult);

-

-

-  /**

-   * @brief  Mean value of a Q7 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_mean_q7(

-  q7_t * pSrc,

-  uint32_t blockSize,

-  q7_t * pResult);

-

-

-  /**

-   * @brief  Mean value of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_mean_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult);

-

-

-  /**

-   * @brief  Mean value of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_mean_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult);

-

-

-  /**

-   * @brief  Mean value of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_mean_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult);

-

-

-  /**

-   * @brief  Variance of the elements of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_var_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult);

-

-

-  /**

-   * @brief  Variance of the elements of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_var_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult);

-

-

-  /**

-   * @brief  Variance of the elements of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_var_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult);

-

-

-  /**

-   * @brief  Root Mean Square of the elements of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_rms_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult);

-

-

-  /**

-   * @brief  Root Mean Square of the elements of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_rms_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult);

-

-

-  /**

-   * @brief  Root Mean Square of the elements of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_rms_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult);

-

-

-  /**

-   * @brief  Standard deviation of the elements of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_std_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult);

-

-

-  /**

-   * @brief  Standard deviation of the elements of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_std_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult);

-

-

-  /**

-   * @brief  Standard deviation of the elements of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output value.

-   */

-  void arm_std_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult);

-

-

-  /**

-   * @brief  Floating-point complex magnitude

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_f32(

-  float32_t * pSrc,

-  float32_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q31 complex magnitude

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_q31(

-  q31_t * pSrc,

-  q31_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q15 complex magnitude

-   * @param[in]  pSrc        points to the complex input vector

-   * @param[out] pDst        points to the real output vector

-   * @param[in]  numSamples  number of complex samples in the input vector

-   */

-  void arm_cmplx_mag_q15(

-  q15_t * pSrc,

-  q15_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q15 complex dot product

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   * @param[out] realResult  real part of the result returned here

-   * @param[out] imagResult  imaginary part of the result returned here

-   */

-  void arm_cmplx_dot_prod_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  uint32_t numSamples,

-  q31_t * realResult,

-  q31_t * imagResult);

-

-

-  /**

-   * @brief  Q31 complex dot product

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   * @param[out] realResult  real part of the result returned here

-   * @param[out] imagResult  imaginary part of the result returned here

-   */

-  void arm_cmplx_dot_prod_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  uint32_t numSamples,

-  q63_t * realResult,

-  q63_t * imagResult);

-

-

-  /**

-   * @brief  Floating-point complex dot product

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   * @param[out] realResult  real part of the result returned here

-   * @param[out] imagResult  imaginary part of the result returned here

-   */

-  void arm_cmplx_dot_prod_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  uint32_t numSamples,

-  float32_t * realResult,

-  float32_t * imagResult);

-

-

-  /**

-   * @brief  Q15 complex-by-real multiplication

-   * @param[in]  pSrcCmplx   points to the complex input vector

-   * @param[in]  pSrcReal    points to the real input vector

-   * @param[out] pCmplxDst   points to the complex output vector

-   * @param[in]  numSamples  number of samples in each vector

-   */

-  void arm_cmplx_mult_real_q15(

-  q15_t * pSrcCmplx,

-  q15_t * pSrcReal,

-  q15_t * pCmplxDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q31 complex-by-real multiplication

-   * @param[in]  pSrcCmplx   points to the complex input vector

-   * @param[in]  pSrcReal    points to the real input vector

-   * @param[out] pCmplxDst   points to the complex output vector

-   * @param[in]  numSamples  number of samples in each vector

-   */

-  void arm_cmplx_mult_real_q31(

-  q31_t * pSrcCmplx,

-  q31_t * pSrcReal,

-  q31_t * pCmplxDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Floating-point complex-by-real multiplication

-   * @param[in]  pSrcCmplx   points to the complex input vector

-   * @param[in]  pSrcReal    points to the real input vector

-   * @param[out] pCmplxDst   points to the complex output vector

-   * @param[in]  numSamples  number of samples in each vector

-   */

-  void arm_cmplx_mult_real_f32(

-  float32_t * pSrcCmplx,

-  float32_t * pSrcReal,

-  float32_t * pCmplxDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Minimum value of a Q7 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] result     is output pointer

-   * @param[in]  index      is the array index of the minimum value in the input buffer.

-   */

-  void arm_min_q7(

-  q7_t * pSrc,

-  uint32_t blockSize,

-  q7_t * result,

-  uint32_t * index);

-

-

-  /**

-   * @brief  Minimum value of a Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output pointer

-   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.

-   */

-  void arm_min_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult,

-  uint32_t * pIndex);

-

-

-  /**

-   * @brief  Minimum value of a Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output pointer

-   * @param[out] pIndex     is the array index of the minimum value in the input buffer.

-   */

-  void arm_min_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult,

-  uint32_t * pIndex);

-

-

-  /**

-   * @brief  Minimum value of a floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[in]  blockSize  is the number of samples to process

-   * @param[out] pResult    is output pointer

-   * @param[out] pIndex     is the array index of the minimum value in the input buffer.

-   */

-  void arm_min_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult,

-  uint32_t * pIndex);

-

-

-/**

- * @brief Maximum value of a Q7 vector.

- * @param[in]  pSrc       points to the input buffer

- * @param[in]  blockSize  length of the input vector

- * @param[out] pResult    maximum value returned here

- * @param[out] pIndex     index of maximum value returned here

- */

-  void arm_max_q7(

-  q7_t * pSrc,

-  uint32_t blockSize,

-  q7_t * pResult,

-  uint32_t * pIndex);

-

-

-/**

- * @brief Maximum value of a Q15 vector.

- * @param[in]  pSrc       points to the input buffer

- * @param[in]  blockSize  length of the input vector

- * @param[out] pResult    maximum value returned here

- * @param[out] pIndex     index of maximum value returned here

- */

-  void arm_max_q15(

-  q15_t * pSrc,

-  uint32_t blockSize,

-  q15_t * pResult,

-  uint32_t * pIndex);

-

-

-/**

- * @brief Maximum value of a Q31 vector.

- * @param[in]  pSrc       points to the input buffer

- * @param[in]  blockSize  length of the input vector

- * @param[out] pResult    maximum value returned here

- * @param[out] pIndex     index of maximum value returned here

- */

-  void arm_max_q31(

-  q31_t * pSrc,

-  uint32_t blockSize,

-  q31_t * pResult,

-  uint32_t * pIndex);

-

-

-/**

- * @brief Maximum value of a floating-point vector.

- * @param[in]  pSrc       points to the input buffer

- * @param[in]  blockSize  length of the input vector

- * @param[out] pResult    maximum value returned here

- * @param[out] pIndex     index of maximum value returned here

- */

-  void arm_max_f32(

-  float32_t * pSrc,

-  uint32_t blockSize,

-  float32_t * pResult,

-  uint32_t * pIndex);

-

-

-  /**

-   * @brief  Q15 complex-by-complex multiplication

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_mult_cmplx_q15(

-  q15_t * pSrcA,

-  q15_t * pSrcB,

-  q15_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Q31 complex-by-complex multiplication

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_mult_cmplx_q31(

-  q31_t * pSrcA,

-  q31_t * pSrcB,

-  q31_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief  Floating-point complex-by-complex multiplication

-   * @param[in]  pSrcA       points to the first input vector

-   * @param[in]  pSrcB       points to the second input vector

-   * @param[out] pDst        points to the output vector

-   * @param[in]  numSamples  number of complex samples in each vector

-   */

-  void arm_cmplx_mult_cmplx_f32(

-  float32_t * pSrcA,

-  float32_t * pSrcB,

-  float32_t * pDst,

-  uint32_t numSamples);

-

-

-  /**

-   * @brief Converts the elements of the floating-point vector to Q31 vector.

-   * @param[in]  pSrc       points to the floating-point input vector

-   * @param[out] pDst       points to the Q31 output vector

-   * @param[in]  blockSize  length of the input vector

-   */

-  void arm_float_to_q31(

-  float32_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Converts the elements of the floating-point vector to Q15 vector.

-   * @param[in]  pSrc       points to the floating-point input vector

-   * @param[out] pDst       points to the Q15 output vector

-   * @param[in]  blockSize  length of the input vector

-   */

-  void arm_float_to_q15(

-  float32_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief Converts the elements of the floating-point vector to Q7 vector.

-   * @param[in]  pSrc       points to the floating-point input vector

-   * @param[out] pDst       points to the Q7 output vector

-   * @param[in]  blockSize  length of the input vector

-   */

-  void arm_float_to_q7(

-  float32_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Converts the elements of the Q31 vector to Q15 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q31_to_q15(

-  q31_t * pSrc,

-  q15_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Converts the elements of the Q31 vector to Q7 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q31_to_q7(

-  q31_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Converts the elements of the Q15 vector to floating-point vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q15_to_float(

-  q15_t * pSrc,

-  float32_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Converts the elements of the Q15 vector to Q31 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q15_to_q31(

-  q15_t * pSrc,

-  q31_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @brief  Converts the elements of the Q15 vector to Q7 vector.

-   * @param[in]  pSrc       is input pointer

-   * @param[out] pDst       is output pointer

-   * @param[in]  blockSize  is the number of samples to process

-   */

-  void arm_q15_to_q7(

-  q15_t * pSrc,

-  q7_t * pDst,

-  uint32_t blockSize);

-

-

-  /**

-   * @ingroup groupInterpolation

-   */

-

-  /**

-   * @defgroup BilinearInterpolate Bilinear Interpolation

-   *

-   * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.

-   * The underlying function <code>f(x, y)</code> is sampled on a regular grid and the interpolation process

-   * determines values between the grid points.

-   * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.

-   * Bilinear interpolation is often used in image processing to rescale images.

-   * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.

-   *

-   * <b>Algorithm</b>

-   * \par

-   * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.

-   * For floating-point, the instance structure is defined as:

-   * <pre>

-   *   typedef struct

-   *   {

-   *     uint16_t numRows;

-   *     uint16_t numCols;

-   *     float32_t *pData;

-   * } arm_bilinear_interp_instance_f32;

-   * </pre>

-   *

-   * \par

-   * where <code>numRows</code> specifies the number of rows in the table;

-   * <code>numCols</code> specifies the number of columns in the table;

-   * and <code>pData</code> points to an array of size <code>numRows*numCols</code> values.

-   * The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes.

-   * That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.

-   *

-   * \par

-   * Let <code>(x, y)</code> specify the desired interpolation point.  Then define:

-   * <pre>

-   *     XF = floor(x)

-   *     YF = floor(y)

-   * </pre>

-   * \par

-   * The interpolated output point is computed as:

-   * <pre>

-   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))

-   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))

-   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)

-   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)

-   * </pre>

-   * Note that the coordinates (x, y) contain integer and fractional components.

-   * The integer components specify which portion of the table to use while the

-   * fractional components control the interpolation processor.

-   *

-   * \par

-   * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output.

-   */

-

-  /**

-   * @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.

-  */

-  CMSIS_INLINE __STATIC_INLINE float32_t arm_bilinear_interp_f32(

-  const arm_bilinear_interp_instance_f32 * S,

-  float32_t X,

-  float32_t Y)

-  {

-    float32_t out;

-    float32_t f00, f01, f10, f11;

-    float32_t *pData = S->pData;

-    int32_t xIndex, yIndex, index;

-    float32_t xdiff, ydiff;

-    float32_t b1, b2, b3, b4;

-

-    xIndex = (int32_t) X;

-    yIndex = (int32_t) Y;

-

-    /* Care taken for table outside boundary */

-    /* Returns zero output when values are outside table boundary */

-    if (xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0 || yIndex > (S->numCols - 1))

-    {

-      return (0);

-    }

-

-    /* Calculation of index for two nearest points in X-direction */

-    index = (xIndex - 1) + (yIndex - 1) * S->numCols;

-

-

-    /* Read two nearest points in X-direction */

-    f00 = pData[index];

-    f01 = pData[index + 1];

-

-    /* Calculation of index for two nearest points in Y-direction */

-    index = (xIndex - 1) + (yIndex) * S->numCols;

-

-

-    /* Read two nearest points in Y-direction */

-    f10 = pData[index];

-    f11 = pData[index + 1];

-

-    /* Calculation of intermediate values */

-    b1 = f00;

-    b2 = f01 - f00;

-    b3 = f10 - f00;

-    b4 = f00 - f01 - f10 + f11;

-

-    /* Calculation of fractional part in X */

-    xdiff = X - xIndex;

-

-    /* Calculation of fractional part in Y */

-    ydiff = Y - yIndex;

-

-    /* Calculation of bi-linear interpolated output */

-    out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff;

-

-    /* return to application */

-    return (out);

-  }

-

-

-  /**

-  *

-  * @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.

-  */

-  CMSIS_INLINE __STATIC_INLINE q31_t arm_bilinear_interp_q31(

-  arm_bilinear_interp_instance_q31 * S,

-  q31_t X,

-  q31_t Y)

-  {

-    q31_t out;                                   /* Temporary output */

-    q31_t acc = 0;                               /* output */

-    q31_t xfract, yfract;                        /* X, Y fractional parts */

-    q31_t x1, x2, y1, y2;                        /* Nearest output values */

-    int32_t rI, cI;                              /* Row and column indices */

-    q31_t *pYData = S->pData;                    /* pointer to output table values */

-    uint32_t nCols = S->numCols;                 /* num of rows */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    rI = ((X & (q31_t)0xFFF00000) >> 20);

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    cI = ((Y & (q31_t)0xFFF00000) >> 20);

-

-    /* Care taken for table outside boundary */

-    /* Returns zero output when values are outside table boundary */

-    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))

-    {

-      return (0);

-    }

-

-    /* 20 bits for the fractional part */

-    /* shift left xfract by 11 to keep 1.31 format */

-    xfract = (X & 0x000FFFFF) << 11U;

-

-    /* Read two nearest output values from the index */

-    x1 = pYData[(rI) + (int32_t)nCols * (cI)    ];

-    x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1];

-

-    /* 20 bits for the fractional part */

-    /* shift left yfract by 11 to keep 1.31 format */

-    yfract = (Y & 0x000FFFFF) << 11U;

-

-    /* Read two nearest output values from the index */

-    y1 = pYData[(rI) + (int32_t)nCols * (cI + 1)    ];

-    y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1];

-

-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */

-    out = ((q31_t) (((q63_t) x1  * (0x7FFFFFFF - xfract)) >> 32));

-    acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));

-

-    /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */

-    out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32));

-    acc += ((q31_t) ((q63_t) out * (xfract) >> 32));

-

-    /* y1 * (1 - xfract) * (yfract)  in 3.29(q29) and adding to acc */

-    out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32));

-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));

-

-    /* y2 * (xfract) * (yfract)  in 3.29(q29) and adding to acc */

-    out = ((q31_t) ((q63_t) y2 * (xfract) >> 32));

-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));

-

-    /* Convert acc to 1.31(q31) format */

-    return ((q31_t)(acc << 2));

-  }

-

-

-  /**

-  * @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.

-  */

-  CMSIS_INLINE __STATIC_INLINE q15_t arm_bilinear_interp_q15(

-  arm_bilinear_interp_instance_q15 * S,

-  q31_t X,

-  q31_t Y)

-  {

-    q63_t acc = 0;                               /* output */

-    q31_t out;                                   /* Temporary output */

-    q15_t x1, x2, y1, y2;                        /* Nearest output values */

-    q31_t xfract, yfract;                        /* X, Y fractional parts */

-    int32_t rI, cI;                              /* Row and column indices */

-    q15_t *pYData = S->pData;                    /* pointer to output table values */

-    uint32_t nCols = S->numCols;                 /* num of rows */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    rI = ((X & (q31_t)0xFFF00000) >> 20);

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    cI = ((Y & (q31_t)0xFFF00000) >> 20);

-

-    /* Care taken for table outside boundary */

-    /* Returns zero output when values are outside table boundary */

-    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))

-    {

-      return (0);

-    }

-

-    /* 20 bits for the fractional part */

-    /* xfract should be in 12.20 format */

-    xfract = (X & 0x000FFFFF);

-

-    /* Read two nearest output values from the index */

-    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];

-    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];

-

-    /* 20 bits for the fractional part */

-    /* yfract should be in 12.20 format */

-    yfract = (Y & 0x000FFFFF);

-

-    /* Read two nearest output values from the index */

-    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];

-    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];

-

-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */

-

-    /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */

-    /* convert 13.35 to 13.31 by right shifting  and out is in 1.31 */

-    out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4U);

-    acc = ((q63_t) out * (0xFFFFF - yfract));

-

-    /* x2 * (xfract) * (1-yfract)  in 1.51 and adding to acc */

-    out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4U);

-    acc += ((q63_t) out * (xfract));

-

-    /* y1 * (1 - xfract) * (yfract)  in 1.51 and adding to acc */

-    out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4U);

-    acc += ((q63_t) out * (yfract));

-

-    /* y2 * (xfract) * (yfract)  in 1.51 and adding to acc */

-    out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U);

-    acc += ((q63_t) out * (yfract));

-

-    /* acc is in 13.51 format and down shift acc by 36 times */

-    /* Convert out to 1.15 format */

-    return ((q15_t)(acc >> 36));

-  }

-

-

-  /**

-  * @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.

-  */

-  CMSIS_INLINE __STATIC_INLINE q7_t arm_bilinear_interp_q7(

-  arm_bilinear_interp_instance_q7 * S,

-  q31_t X,

-  q31_t Y)

-  {

-    q63_t acc = 0;                               /* output */

-    q31_t out;                                   /* Temporary output */

-    q31_t xfract, yfract;                        /* X, Y fractional parts */

-    q7_t x1, x2, y1, y2;                         /* Nearest output values */

-    int32_t rI, cI;                              /* Row and column indices */

-    q7_t *pYData = S->pData;                     /* pointer to output table values */

-    uint32_t nCols = S->numCols;                 /* num of rows */

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    rI = ((X & (q31_t)0xFFF00000) >> 20);

-

-    /* Input is in 12.20 format */

-    /* 12 bits for the table index */

-    /* Index value calculation */

-    cI = ((Y & (q31_t)0xFFF00000) >> 20);

-

-    /* Care taken for table outside boundary */

-    /* Returns zero output when values are outside table boundary */

-    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))

-    {

-      return (0);

-    }

-

-    /* 20 bits for the fractional part */

-    /* xfract should be in 12.20 format */

-    xfract = (X & (q31_t)0x000FFFFF);

-

-    /* Read two nearest output values from the index */

-    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];

-    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];

-

-    /* 20 bits for the fractional part */

-    /* yfract should be in 12.20 format */

-    yfract = (Y & (q31_t)0x000FFFFF);

-

-    /* Read two nearest output values from the index */

-    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];

-    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];

-

-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */

-    out = ((x1 * (0xFFFFF - xfract)));

-    acc = (((q63_t) out * (0xFFFFF - yfract)));

-

-    /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */

-    out = ((x2 * (0xFFFFF - yfract)));

-    acc += (((q63_t) out * (xfract)));

-

-    /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */

-    out = ((y1 * (0xFFFFF - xfract)));

-    acc += (((q63_t) out * (yfract)));

-

-    /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */

-    out = ((y2 * (yfract)));

-    acc += (((q63_t) out * (xfract)));

-

-    /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */

-    return ((q7_t)(acc >> 40));

-  }

-

-  /**

-   * @} end of BilinearInterpolate group

-   */

-

-

-/* SMMLAR */

-#define multAcc_32x32_keep32_R(a, x, y) \

-    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)

-

-/* SMMLSR */

-#define multSub_32x32_keep32_R(a, x, y) \

-    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)

-

-/* SMMULR */

-#define mult_32x32_keep32_R(a, x, y) \

-    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)

-

-/* SMMLA */

-#define multAcc_32x32_keep32(a, x, y) \

-    a += (q31_t) (((q63_t) x * y) >> 32)

-

-/* SMMLS */

-#define multSub_32x32_keep32(a, x, y) \

-    a -= (q31_t) (((q63_t) x * y) >> 32)

-

-/* SMMUL */

-#define mult_32x32_keep32(a, x, y) \

-    a = (q31_t) (((q63_t) x * y ) >> 32)

-

-

-#if   defined ( __CC_ARM )

-  /* Enter low optimization region - place directly above function definition */

-  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)

-    #define LOW_OPTIMIZATION_ENTER \

-       _Pragma ("push")         \

-       _Pragma ("O1")

-  #else

-    #define LOW_OPTIMIZATION_ENTER

-  #endif

-

-  /* Exit low optimization region - place directly after end of function definition */

-  #if defined ( ARM_MATH_CM4 ) || defined ( ARM_MATH_CM7 )

-    #define LOW_OPTIMIZATION_EXIT \

-       _Pragma ("pop")

-  #else

-    #define LOW_OPTIMIZATION_EXIT

-  #endif

-

-  /* Enter low optimization region - place directly above function definition */

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-

-  /* Exit low optimization region - place directly after end of function definition */

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )

-  #define LOW_OPTIMIZATION_ENTER

-  #define LOW_OPTIMIZATION_EXIT

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined ( __GNUC__ )

-  #define LOW_OPTIMIZATION_ENTER \

-       __attribute__(( optimize("-O1") ))

-  #define LOW_OPTIMIZATION_EXIT

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined ( __ICCARM__ )

-  /* Enter low optimization region - place directly above function definition */

-  #if defined ( ARM_MATH_CM4 ) || defined ( ARM_MATH_CM7 )

-    #define LOW_OPTIMIZATION_ENTER \

-       _Pragma ("optimize=low")

-  #else

-    #define LOW_OPTIMIZATION_ENTER

-  #endif

-

-  /* Exit low optimization region - place directly after end of function definition */

-  #define LOW_OPTIMIZATION_EXIT

-

-  /* Enter low optimization region - place directly above function definition */

-  #if defined ( ARM_MATH_CM4 ) || defined ( ARM_MATH_CM7 )

-    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \

-       _Pragma ("optimize=low")

-  #else

-    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #endif

-

-  /* Exit low optimization region - place directly after end of function definition */

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined ( __TI_ARM__ )

-  #define LOW_OPTIMIZATION_ENTER

-  #define LOW_OPTIMIZATION_EXIT

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined ( __CSMC__ )

-  #define LOW_OPTIMIZATION_ENTER

-  #define LOW_OPTIMIZATION_EXIT

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#elif defined ( __TASKING__ )

-  #define LOW_OPTIMIZATION_ENTER

-  #define LOW_OPTIMIZATION_EXIT

-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER

-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT

-

-#endif

-

-

-#ifdef   __cplusplus

-}

-#endif

-

-/* Compiler specific diagnostic adjustment */

-#if   defined ( __CC_ARM )

-

-#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )

-

-#elif defined ( __GNUC__ )

-#pragma GCC diagnostic pop

-

-#elif defined ( __ICCARM__ )

-

-#elif defined ( __TI_ARM__ )

-

-#elif defined ( __CSMC__ )

-

-#elif defined ( __TASKING__ )

-

-#else

-  #error Unknown compiler

-#endif

-

-#endif /* _ARM_MATH_H */

-

-/**

- *

- * End of file.

- */