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yaokon/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/Abstract.txt Normal file
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CMSIS DSP_Lib example arm_matrix_example for
Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
The example is configured for uVision Simulator.

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yaokon/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
*
* $Date: 17. January 2013
* $Revision: V1.4.0
*
* Project: CMSIS DSP Library
* Title: arm_matrix_example_f32.c
*
* Description: Example code demonstrating least square fit to data
* using matrix functions
*
* Target Processor: Cortex-M4/Cortex-M3
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
/**
* @ingroup groupExamples
*/
/**
* @defgroup MatrixExample Matrix Example
*
* \par Description:
* \par
* Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse
* functions to apply least squares fitting to input data. Least squares fitting is
* the procedure for finding the best-fitting curve that minimizes the sum of the
* squares of the offsets (least square error) from a given set of data.
*
* \par Algorithm:
* \par
* The linear combination of parameters considered is as follows:
* \par
* <code>A * X = B</code>, where \c X is the unknown value and can be estimated
* from \c A & \c B.
* \par
* The least squares estimate \c X is given by the following equation:
* \par
* <code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code>
*
* \par Block Diagram:
* \par
* \image html matrixExample.gif
*
* \par Variables Description:
* \par
* \li \c A_f32 input matrix in the linear combination equation
* \li \c B_f32 output matrix in the linear combination equation
* \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices
*
* \par CMSIS DSP Software Library Functions Used:
* \par
* - arm_mat_init_f32()
* - arm_mat_trans_f32()
* - arm_mat_mult_f32()
* - arm_mat_inverse_f32()
*
* <b> Refer </b>
* \link arm_matrix_example_f32.c \endlink
*
*/
/** \example arm_matrix_example_f32.c
*/
#include "arm_math.h"
#include "math_helper.h"
#define SNR_THRESHOLD 90
/* --------------------------------------------------------------------------------
* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize
* and tapSize
* --------------------------------------------------------------------------------- */
const float32_t B_f32[4] =
{
782.0, 7577.0, 470.0, 4505.0
};
/* --------------------------------------------------------------------------------
* Formula to fit is C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize
* -------------------------------------------------------------------------------- */
const float32_t A_f32[16] =
{
/* Const, numTaps, blockSize, numTaps*blockSize */
1.0, 32.0, 4.0, 128.0,
1.0, 32.0, 64.0, 2048.0,
1.0, 16.0, 4.0, 64.0,
1.0, 16.0, 64.0, 1024.0,
};
/* ----------------------------------------------------------------------
* Temporary buffers for storing intermediate values
* ------------------------------------------------------------------- */
/* Transpose of A Buffer */
float32_t AT_f32[16];
/* (Transpose of A * A) Buffer */
float32_t ATMA_f32[16];
/* Inverse(Transpose of A * A) Buffer */
float32_t ATMAI_f32[16];
/* Test Output Buffer */
float32_t X_f32[4];
/* ----------------------------------------------------------------------
* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB
* ------------------------------------------------------------------- */
const float32_t xRef_f32[4] = {73.0, 8.0, 21.25, 2.875};
float32_t snr;
/* ----------------------------------------------------------------------
* Max magnitude FFT Bin test
* ------------------------------------------------------------------- */
int32_t main(void)
{
arm_matrix_instance_f32 A; /* Matrix A Instance */
arm_matrix_instance_f32 AT; /* Matrix AT(A transpose) instance */
arm_matrix_instance_f32 ATMA; /* Matrix ATMA( AT multiply with A) instance */
arm_matrix_instance_f32 ATMAI; /* Matrix ATMAI(Inverse of ATMA) instance */
arm_matrix_instance_f32 B; /* Matrix B instance */
arm_matrix_instance_f32 X; /* Matrix X(Unknown Matrix) instance */
uint32_t srcRows, srcColumns; /* Temporary variables */
arm_status status;
/* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */
srcRows = 4;
srcColumns = 4;
arm_mat_init_f32(&A, srcRows, srcColumns, (float32_t *)A_f32);
/* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */
srcRows = 4;
srcColumns = 4;
arm_mat_init_f32(&AT, srcRows, srcColumns, AT_f32);
/* calculation of A transpose */
status = arm_mat_trans_f32(&A, &AT);
/* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */
srcRows = 4;
srcColumns = 4;
arm_mat_init_f32(&ATMA, srcRows, srcColumns, ATMA_f32);
/* calculation of AT Multiply with A */
status = arm_mat_mult_f32(&AT, &A, &ATMA);
/* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */
srcRows = 4;
srcColumns = 4;
arm_mat_init_f32(&ATMAI, srcRows, srcColumns, ATMAI_f32);
/* calculation of Inverse((Transpose(A) * A) */
status = arm_mat_inverse_f32(&ATMA, &ATMAI);
/* calculation of (Inverse((Transpose(A) * A)) * Transpose(A)) */
status = arm_mat_mult_f32(&ATMAI, &AT, &ATMA);
/* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */
srcRows = 4;
srcColumns = 1;
arm_mat_init_f32(&B, srcRows, srcColumns, (float32_t *)B_f32);
/* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */
srcRows = 4;
srcColumns = 1;
arm_mat_init_f32(&X, srcRows, srcColumns, X_f32);
/* calculation ((Inverse((Transpose(A) * A)) * Transpose(A)) * B) */
status = arm_mat_mult_f32(&ATMA, &B, &X);
/* Comparison of reference with test output */
snr = arm_snr_f32((float32_t *)xRef_f32, X_f32, 4);
/*------------------------------------------------------------------------------
* Initialise status depending on SNR calculations
*------------------------------------------------------------------------------*/
if ( snr > SNR_THRESHOLD)
{
status = ARM_MATH_SUCCESS;
}
else
{
status = ARM_MATH_TEST_FAILURE;
}
/* ----------------------------------------------------------------------
** Loop here if the signals fail the PASS check.
** This denotes a test failure
** ------------------------------------------------------------------- */
if ( status != ARM_MATH_SUCCESS)
{
while (1);
}
while (1); /* main function does not return */
}
/** \endlink */

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yaokon/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
*
* $Date: 17. January 2013
* $Revision: V1.4.0 b
*
* Project: CMSIS DSP Library
*
* Title: math_helper.c
*
* Description: Definition of all helper functions required.
*
* Target Processor: Cortex-M4/Cortex-M3
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
/* ----------------------------------------------------------------------
* Include standard header files
* -------------------------------------------------------------------- */
#include<math.h>
/* ----------------------------------------------------------------------
* Include project header files
* -------------------------------------------------------------------- */
#include "math_helper.h"
/**
* @brief Caluclation of SNR
* @param[in] pRef Pointer to the reference buffer
* @param[in] pTest Pointer to the test buffer
* @param[in] buffSize total number of samples
* @return SNR
* The function Caluclates signal to noise ratio for the reference output
* and test output
*/
float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
{
float EnergySignal = 0.0, EnergyError = 0.0;
uint32_t i;
float SNR;
int temp;
int *test;
for (i = 0; i < buffSize; i++)
{
/* Checking for a NAN value in pRef array */
test = (int *)(&pRef[i]);
temp = *test;
if (temp == 0x7FC00000)
{
return(0);
}
/* Checking for a NAN value in pTest array */
test = (int *)(&pTest[i]);
temp = *test;
if (temp == 0x7FC00000)
{
return(0);
}
EnergySignal += pRef[i] * pRef[i];
EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
}
/* Checking for a NAN value in EnergyError */
test = (int *)(&EnergyError);
temp = *test;
if (temp == 0x7FC00000)
{
return(0);
}
SNR = 10 * log10 (EnergySignal / EnergyError);
return (SNR);
}
/**
* @brief Provide guard bits for Input buffer
* @param[in,out] input_buf Pointer to input buffer
* @param[in] blockSize block Size
* @param[in] guard_bits guard bits
* @return none
* The function Provides the guard bits for the buffer
* to avoid overflow
*/
void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
uint32_t guard_bits)
{
uint32_t i;
for (i = 0; i < blockSize; i++)
{
input_buf[i] = input_buf[i] >> guard_bits;
}
}
/**
* @brief Converts float to fixed in q12.20 format
* @param[in] pIn pointer to input buffer
* @param[out] pOut pointer to outputbuffer
* @param[in] numSamples number of samples in the input buffer
* @return none
* The function converts floating point values to fixed point(q12.20) values
*/
void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
/* 1048576.0f corresponds to pow(2, 20) */
pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
if (pIn[i] == (float) 1.0)
{
pOut[i] = 0x000FFFFF;
}
}
}
/**
* @brief Compare MATLAB Reference Output and ARM Test output
* @param[in] pIn Pointer to Ref buffer
* @param[in] pOut Pointer to Test buffer
* @param[in] numSamples number of samples in the buffer
* @return maximum difference
*/
uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
{
uint32_t i;
int32_t diff, diffCrnt = 0;
uint32_t maxDiff = 0;
for (i = 0; i < numSamples; i++)
{
diff = pIn[i] - pOut[i];
diffCrnt = (diff > 0) ? diff : -diff;
if (diffCrnt > maxDiff)
{
maxDiff = diffCrnt;
}
}
return(maxDiff);
}
/**
* @brief Compare MATLAB Reference Output and ARM Test output
* @param[in] pIn Pointer to Ref buffer
* @param[in] pOut Pointer to Test buffer
* @param[in] numSamples number of samples in the buffer
* @return maximum difference
*/
uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
{
uint32_t i;
int32_t diff, diffCrnt = 0;
uint32_t maxDiff = 0;
for (i = 0; i < numSamples; i++)
{
diff = pIn[i] - pOut[i];
diffCrnt = (diff > 0) ? diff : -diff;
if (diffCrnt > maxDiff)
{
maxDiff = diffCrnt;
}
}
return(maxDiff);
}
/**
* @brief Provide guard bits for Input buffer
* @param[in,out] input_buf Pointer to input buffer
* @param[in] blockSize block Size
* @param[in] guard_bits guard bits
* @return none
* The function Provides the guard bits for the buffer
* to avoid overflow
*/
void arm_provide_guard_bits_q31 (q31_t * input_buf,
uint32_t blockSize,
uint32_t guard_bits)
{
uint32_t i;
for (i = 0; i < blockSize; i++)
{
input_buf[i] = input_buf[i] >> guard_bits;
}
}
/**
* @brief Provide guard bits for Input buffer
* @param[in,out] input_buf Pointer to input buffer
* @param[in] blockSize block Size
* @param[in] guard_bits guard bits
* @return none
* The function Provides the guard bits for the buffer
* to avoid overflow
*/
void arm_provide_guard_bits_q7 (q7_t * input_buf,
uint32_t blockSize,
uint32_t guard_bits)
{
uint32_t i;
for (i = 0; i < blockSize; i++)
{
input_buf[i] = input_buf[i] >> guard_bits;
}
}
/**
* @brief Caluclates number of guard bits
* @param[in] num_adds number of additions
* @return guard bits
* The function Caluclates the number of guard bits
* depending on the numtaps
*/
uint32_t arm_calc_guard_bits (uint32_t num_adds)
{
uint32_t i = 1, j = 0;
if (num_adds == 1)
{
return (0);
}
while (i < num_adds)
{
i = i * 2;
j++;
}
return (j);
}
/**
* @brief Apply guard bits to buffer
* @param[in,out] pIn pointer to input buffer
* @param[in] numSamples number of samples in the input buffer
* @param[in] guard_bits guard bits
* @return none
*/
void arm_apply_guard_bits (float32_t *pIn,
uint32_t numSamples,
uint32_t guard_bits)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
}
}
/**
* @brief Calculates pow(2, numShifts)
* @param[in] numShifts number of shifts
* @return pow(2, numShifts)
*/
uint32_t arm_calc_2pow(uint32_t numShifts)
{
uint32_t i, val = 1;
for (i = 0; i < numShifts; i++)
{
val = val * 2;
}
return(val);
}
/**
* @brief Converts float to fixed q14
* @param[in] pIn pointer to input buffer
* @param[out] pOut pointer to output buffer
* @param[in] numSamples number of samples in the buffer
* @return none
* The function converts floating point values to fixed point values
*/
void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
/* 16384.0f corresponds to pow(2, 14) */
pOut[i] = (q15_t) (pIn[i] * 16384.0f);
pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
if (pIn[i] == (float) 2.0)
{
pOut[i] = 0x7FFF;
}
}
}
/**
* @brief Converts float to fixed q30 format
* @param[in] pIn pointer to input buffer
* @param[out] pOut pointer to output buffer
* @param[in] numSamples number of samples in the buffer
* @return none
* The function converts floating point values to fixed point values
*/
void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
/* 1073741824.0f corresponds to pow(2, 30) */
pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
if (pIn[i] == (float) 2.0)
{
pOut[i] = 0x7FFFFFFF;
}
}
}
/**
* @brief Converts float to fixed q30 format
* @param[in] pIn pointer to input buffer
* @param[out] pOut pointer to output buffer
* @param[in] numSamples number of samples in the buffer
* @return none
* The function converts floating point values to fixed point values
*/
void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
/* 1073741824.0f corresponds to pow(2, 30) */
pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
if (pIn[i] == (float) 4.0)
{
pOut[i] = 0x7FFFFFFF;
}
}
}
/**
* @brief Converts float to fixed q28 format
* @param[in] pIn pointer to input buffer
* @param[out] pOut pointer to output buffer
* @param[in] numSamples number of samples in the buffer
* @return none
* The function converts floating point values to fixed point values
*/
void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
/* 268435456.0f corresponds to pow(2, 28) */
pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
if (pIn[i] == (float) 8.0)
{
pOut[i] = 0x7FFFFFFF;
}
}
}
/**
* @brief Clip the float values to +/- 1
* @param[in,out] pIn input buffer
* @param[in] numSamples number of samples in the buffer
* @return none
* The function converts floating point values to fixed point values
*/
void arm_clip_f32 (float *pIn, uint32_t numSamples)
{
uint32_t i;
for (i = 0; i < numSamples; i++)
{
if (pIn[i] > 1.0f)
{
pIn[i] = 1.0;
}
else if ( pIn[i] < -1.0f)
{
pIn[i] = -1.0;
}
}
}

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yaokon/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
*
* $Date: 17. January 2013
* $Revision: V1.4.0
*
* Project: CMSIS DSP Library
*
* Title: math_helper.h
*
* Description: Prototypes of all helper functions required.
*
* Target Processor: Cortex-M4/Cortex-M3
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#ifndef MATH_HELPER_H
#define MATH_HELPER_H
float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
void arm_clip_f32(float *pIn, uint32_t numSamples);
uint32_t arm_calc_guard_bits(uint32_t num_adds);
void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
uint32_t arm_calc_2pow(uint32_t guard_bits);
#endif