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arm_math.h
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2011 ARM Limited. All rights reserved.
*
* $Date: 15. February 2012
* $Revision: V1.1.0
*
* Project: CMSIS DSP Library
* Title: arm_math.h
*
* Description: Public header file for CMSIS DSP Library
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Version 1.1.0 2012/02/15
* Updated with more optimizations, bug fixes and minor API changes.
*
* Version 1.0.10 2011/7/15
* Big Endian support added and Merged M0 and M3/M4 Source code.
*
* Version 1.0.3 2010/11/29
* Re-organized the CMSIS folders and updated documentation.
*
* Version 1.0.2 2010/11/11
* Documentation updated.
*
* Version 1.0.1 2010/10/05
* Production release and review comments incorporated.
*
* Version 1.0.0 2010/09/20
* Production release and review comments incorporated.
* -------------------------------------------------------------------- */
/**
\mainpage CMSIS DSP Software Library
*
* <b>Introduction</b>
*
* 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.
*
* <b>Pre-processor Macros</b>
*
* Each library project have differant pre-processor 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.
*
* - __FPU_PRESENT:
*
* Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries
*
* <b>Toolchain Support</b>
*
* The library has been developed and tested with MDK-ARM version 4.23.
* The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
*
* <b>Using the Library</b>
*
* The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.
* - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)
* - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)
* - arm_cortexM4l_math.lib (Little endian on Cortex-M4)
* - arm_cortexM4b_math.lib (Big endian on Cortex-M4)
* - arm_cortexM3l_math.lib (Little endian on Cortex-M3)
* - arm_cortexM3b_math.lib (Big endian on Cortex-M3)
* - arm_cortexM0l_math.lib (Little endian on Cortex-M0)
* - arm_cortexM0b_math.lib (Big endian on Cortex-M3)
*
* 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-M4/M3/M0 with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
* Define the appropriate pre processor MACRO ARM_MATH_CM4 or ARM_MATH_CM3 or
* ARM_MATH_CM0 depending on the target processor in the application.
*
* <b>Examples</b>
*
* The library ships with a number of examples which demonstrate how to use the library functions.
*
* <b>Building the Library</b>
*
* The library installer contains project files to re build libraries on MDK Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder.
* - arm_cortexM0b_math.uvproj
* - arm_cortexM0l_math.uvproj
* - arm_cortexM3b_math.uvproj
* - arm_cortexM3l_math.uvproj
* - arm_cortexM4b_math.uvproj
* - arm_cortexM4l_math.uvproj
* - arm_cortexM4bf_math.uvproj
* - arm_cortexM4lf_math.uvproj
*
*
* The project can be built by opening the appropriate project in MDK-ARM 4.23 chain and defining the optional pre processor MACROs detailed above.
*
* <b>Copyright Notice</b>
*
* Copyright (C) 2010 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
// Teensy 3.0
#include <stdint.h>
#define __ASM __asm
#define __INLINE inline
#define __STATIC_INLINE static inline
#define __CORTEX_M 4
#define __FPU_USED 0
#define ARM_MATH_CM4
#include "core_cmInstr.h"
#include "core_cm4_simd.h"
#if 0
// generic for any board...
#define __CMSIS_GENERIC /* disable NVIC and Systick functions */
#if defined (ARM_MATH_CM4)
#include "core_cm4.h"
#elif defined (ARM_MATH_CM3)
#include "core_cm3.h"
#elif defined (ARM_MATH_CM0)
#include "core_cm0.h"
#else
#include "ARMCM4.h"
#warning "Define either ARM_MATH_CM4 OR ARM_MATH_CM3...By Default building on ARM_MATH_CM4....."
#endif
#undef __CMSIS_GENERIC /* enable NVIC and Systick functions */
#endif
#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 TABLE_SIZE 256
#define TABLE_SPACING_Q31 0x800000
#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 (__GNUC__)
#define __SIMD32(addr) (*( int32_t **) & (addr))
#define _SIMD32_OFFSET(addr) (*( int32_t * ) (addr))
#else
#define __SIMD32(addr) (*(__packed int32_t **) & (addr))
#define _SIMD32_OFFSET(addr) (*(__packed int32_t * ) (addr))
#endif
#define __SIMD64(addr) (*(int64_t **) & (addr))
#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0)
/**
* @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
/**
* @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.
*/
__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.
*/
__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.
*/
__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.
*/
__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.
*/
__STATIC_INLINE q63_t mult32x64(
q63_t x,
q31_t y)
{
return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
(((q63_t) (x >> 32) * y)));
}
#if defined (ARM_MATH_CM0) && defined ( __CC_ARM )
#define __CLZ __clz
#endif
#if defined (ARM_MATH_CM0) && defined ( __TASKING__ )
/* No need to redefine __CLZ */
#endif
#if defined (ARM_MATH_CM0) && ((defined (__ICCARM__)) ||(defined (__GNUC__)) )
__STATIC_INLINE uint32_t __CLZ(q31_t data);
__STATIC_INLINE uint32_t __CLZ(q31_t data)
{
uint32_t count = 0;
uint32_t mask = 0x80000000;
while((data & mask) == 0)
{
count += 1u;
mask = mask >> 1u;
}
return (count);
}
#endif
/**
* @brief Function to Calculates 1/in(reciprocal) value of Q31 Data type.
*/
__STATIC_INLINE uint32_t arm_recip_q31(
q31_t in,
q31_t * dst,
q31_t * pRecipTable)
{
uint32_t out, tempVal;
uint32_t index, i;
uint32_t signBits;
if(in > 0)
{
signBits = __CLZ(in) - 1;
}
else
{
signBits = __CLZ(-in) - 1;
}
/* Convert input sample to 1.31 format */
in = in << signBits;
/* calculation of index for initial approximated Val */
index = (uint32_t) (in >> 24u);
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 = (q31_t) (((q63_t) in * out) >> 31u);
tempVal = 0x7FFFFFFF - tempVal;
/* 1.31 with exp 1 */
//out = (q31_t) (((q63_t) out * tempVal) >> 30u);
out = (q31_t) clip_q63_to_q31(((q63_t) out * tempVal) >> 30u);
}
/* 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.
*/
__STATIC_INLINE uint32_t arm_recip_q15(
q15_t in,
q15_t * dst,
q15_t * pRecipTable)
{
uint32_t out = 0, tempVal = 0;
uint32_t index = 0, i = 0;
uint32_t signBits = 0;
if(in > 0)
{
signBits = __CLZ(in) - 17;
}
else
{
signBits = __CLZ(-in) - 17;
}
/* Convert input sample to 1.15 format */
in = in << signBits;
/* calculation of index for initial approximated Val */
index = 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 = 0; i < 2; i++)
{
tempVal = (q15_t) (((q31_t) in * out) >> 15);
tempVal = 0x7FFF - tempVal;
/* 1.15 with exp 1 */
out = (q15_t) (((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 intrinisic function for only M0 processors
*/
#if defined(ARM_MATH_CM0)
__STATIC_INLINE q31_t __SSAT(
q31_t x,
uint32_t y)
{
int32_t posMax, negMin;
uint32_t i;
posMax = 1;
for (i = 0; i < (y - 1); i++)
{
posMax = posMax * 2;
}
if(x > 0)
{
posMax = (posMax - 1);
if(x > posMax)
{
x = posMax;
}
}
else
{
negMin = -posMax;
if(x < negMin)
{
x = negMin;
}
}
return (x);
}
#endif /* end of ARM_MATH_CM0 */
/*
* @brief C custom defined intrinsic function for M3 and M0 processors
*/
#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0)
/*
* @brief C custom defined QADD8 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QADD8(
q31_t x,
q31_t y)
{
q31_t sum;
q7_t r, s, t, u;
r = (q7_t) x;
s = (q7_t) y;
r = __SSAT((q31_t) (r + s), 8);
s = __SSAT(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8);
t = __SSAT(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8);
u = __SSAT(((q31_t) ((x >> 24) + (y >> 24))), 8);
sum =
(((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) |
(((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF);
return sum;
}
/*
* @brief C custom defined QSUB8 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QSUB8(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s, t, u;
r = (q7_t) x;
s = (q7_t) y;
r = __SSAT((r - s), 8);
s = __SSAT(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8;
t = __SSAT(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16;
u = __SSAT(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24;
sum =
(u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r &
0x000000FF);
return sum;
}
/*
* @brief C custom defined QADD16 for M3 and M0 processors
*/
/*
* @brief C custom defined QADD16 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QADD16(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s;
r = (short) x;
s = (short) y;
r = __SSAT(r + s, 16);
s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16;
sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return sum;
}
/*
* @brief C custom defined SHADD16 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SHADD16(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s;
r = (short) x;
s = (short) y;
r = ((r >> 1) + (s >> 1));
s = ((q31_t) ((x >> 17) + (y >> 17))) << 16;
sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return sum;
}
/*
* @brief C custom defined QSUB16 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QSUB16(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s;
r = (short) x;
s = (short) y;
r = __SSAT(r - s, 16);
s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16;
sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return sum;
}
/*
* @brief C custom defined SHSUB16 for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SHSUB16(
q31_t x,
q31_t y)
{
q31_t diff;
q31_t r, s;
r = (short) x;
s = (short) y;
r = ((r >> 1) - (s >> 1));
s = (((x >> 17) - (y >> 17)) << 16);
diff = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return diff;
}
/*
* @brief C custom defined QASX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QASX(
q31_t x,
q31_t y)
{
q31_t sum = 0;
sum =
((sum +
clip_q31_to_q15((q31_t) ((short) (x >> 16) + (short) y))) << 16) +
clip_q31_to_q15((q31_t) ((short) x - (short) (y >> 16)));
return sum;
}
/*
* @brief C custom defined SHASX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SHASX(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s;
r = (short) x;
s = (short) y;
r = ((r >> 1) - (y >> 17));
s = (((x >> 17) + (s >> 1)) << 16);
sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return sum;
}
/*
* @brief C custom defined QSAX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QSAX(
q31_t x,
q31_t y)
{
q31_t sum = 0;
sum =
((sum +
clip_q31_to_q15((q31_t) ((short) (x >> 16) - (short) y))) << 16) +
clip_q31_to_q15((q31_t) ((short) x + (short) (y >> 16)));
return sum;
}
/*
* @brief C custom defined SHSAX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SHSAX(
q31_t x,
q31_t y)
{
q31_t sum;
q31_t r, s;
r = (short) x;
s = (short) y;
r = ((r >> 1) + (y >> 17));
s = (((x >> 17) - (s >> 1)) << 16);
sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
return sum;
}
/*
* @brief C custom defined SMUSDX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMUSDX(
q31_t x,
q31_t y)
{
return ((q31_t) (((short) x * (short) (y >> 16)) -
((short) (x >> 16) * (short) y)));
}
/*
* @brief C custom defined SMUADX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMUADX(
q31_t x,
q31_t y)
{
return ((q31_t) (((short) x * (short) (y >> 16)) +
((short) (x >> 16) * (short) y)));
}
/*
* @brief C custom defined QADD for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QADD(
q31_t x,
q31_t y)
{
return clip_q63_to_q31((q63_t) x + y);
}
/*
* @brief C custom defined QSUB for M3 and M0 processors
*/
__STATIC_INLINE q31_t __QSUB(
q31_t x,
q31_t y)
{
return clip_q63_to_q31((q63_t) x - y);
}
/*
* @brief C custom defined SMLAD for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMLAD(
q31_t x,
q31_t y,
q31_t sum)
{
return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
((short) x * (short) y));
}
/*
* @brief C custom defined SMLADX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMLADX(
q31_t x,
q31_t y,
q31_t sum)
{
return (sum + ((short) (x >> 16) * (short) (y)) +
((short) x * (short) (y >> 16)));
}
/*
* @brief C custom defined SMLSDX for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMLSDX(
q31_t x,
q31_t y,
q31_t sum)
{
return (sum - ((short) (x >> 16) * (short) (y)) +
((short) x * (short) (y >> 16)));
}
/*
* @brief C custom defined SMLALD for M3 and M0 processors
*/
__STATIC_INLINE q63_t __SMLALD(
q31_t x,
q31_t y,
q63_t sum)
{
return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
((short) x * (short) y));
}
/*
* @brief C custom defined SMLALDX for M3 and M0 processors
*/
__STATIC_INLINE q63_t __SMLALDX(
q31_t x,
q31_t y,
q63_t sum)
{
return (sum + ((short) (x >> 16) * (short) y)) +
((short) x * (short) (y >> 16));
}
/*
* @brief C custom defined SMUAD for M3 and M0 processors
*/
__STATIC_INLINE q31_t __SMUAD(
q31_t x,