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Import of the watch repository from Pebble
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Matthieu Jeanson
Katharine Berry
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10334 changed files with 2564465 additions and 0 deletions
127
third_party/ARM/Source/FastMathFunctions/arm_cos_f32.c
vendored
Normal file
127
third_party/ARM/Source/FastMathFunctions/arm_cos_f32.c
vendored
Normal file
|
|
@ -0,0 +1,127 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 21. September 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_cos_f32.c
|
||||
*
|
||||
* Description: Fast cosine calculation for floating-point values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @defgroup cos Cosine
|
||||
*
|
||||
* Computes the trigonometric cosine function using a combination of table lookup
|
||||
* and linear interpolation. There are separate functions for
|
||||
* Q15, Q31, and floating-point data types.
|
||||
* The input to the floating-point version is in radians while the
|
||||
* fixed-point Q15 and Q31 have a scaled input with the range
|
||||
* [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a
|
||||
* value of 2*pi wraps around to 0.
|
||||
*
|
||||
* The implementation is based on table lookup using 256 values together with linear interpolation.
|
||||
* The steps used are:
|
||||
* -# Calculation of the nearest integer table index
|
||||
* -# Compute the fractional portion (fract) of the table index.
|
||||
* -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
|
||||
*
|
||||
* where
|
||||
* <pre>
|
||||
* b=Table[index+0];
|
||||
* c=Table[index+1];
|
||||
* </pre>
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup cos
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @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)
|
||||
{
|
||||
float32_t cosVal, fract, in; /* Temporary variables for input, output */
|
||||
uint16_t index; /* Index variable */
|
||||
float32_t a, b; /* Two nearest output values */
|
||||
int32_t n;
|
||||
float32_t findex;
|
||||
|
||||
/* input x is in radians */
|
||||
/* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */
|
||||
in = x * 0.159154943092f + 0.25f;
|
||||
|
||||
/* Calculation of floor value of input */
|
||||
n = (int32_t) in;
|
||||
|
||||
/* Make negative values towards -infinity */
|
||||
if(in < 0.0f)
|
||||
{
|
||||
n--;
|
||||
}
|
||||
|
||||
/* Map input value to [0 1] */
|
||||
in = in - (float32_t) n;
|
||||
|
||||
/* Calculation of index of the table */
|
||||
findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
|
||||
index = ((uint16_t)findex) & 0x1ff;
|
||||
|
||||
/* fractional value calculation */
|
||||
fract = findex - (float32_t) index;
|
||||
|
||||
/* Read two nearest values of input value from the cos table */
|
||||
a = sinTable_f32[index];
|
||||
b = sinTable_f32[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
cosVal = (1.0f-fract)*a + fract*b;
|
||||
|
||||
/* Return the output value */
|
||||
return (cosVal);
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of cos group
|
||||
*/
|
||||
96
third_party/ARM/Source/FastMathFunctions/arm_cos_q15.c
vendored
Normal file
96
third_party/ARM/Source/FastMathFunctions/arm_cos_q15.c
vendored
Normal file
|
|
@ -0,0 +1,96 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 07. September 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_cos_q15.c
|
||||
*
|
||||
* Description: Fast cosine calculation for Q15 values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup cos
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @brief Fast approximation to the trigonometric cosine function for Q15 data.
|
||||
* @param[in] x Scaled input value in radians.
|
||||
* @return cos(x).
|
||||
*
|
||||
* The Q15 input value is in the range [0 +0.9999] and is mapped to a radian
|
||||
* value in the range [0 2*pi).
|
||||
*/
|
||||
|
||||
q15_t arm_cos_q15(
|
||||
q15_t x)
|
||||
{
|
||||
q15_t cosVal; /* Temporary variables for input, output */
|
||||
int32_t index; /* Index variables */
|
||||
q15_t a, b; /* Four nearest output values */
|
||||
q15_t fract; /* Temporary values for fractional values */
|
||||
|
||||
/* add 0.25 (pi/2) to read sine table */
|
||||
x = (uint16_t)x + 0x2000;
|
||||
if(x < 0)
|
||||
{ /* convert negative numbers to corresponding positive ones */
|
||||
x = (uint16_t)x + 0x8000;
|
||||
}
|
||||
|
||||
/* Calculate the nearest index */
|
||||
index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
|
||||
|
||||
/* Calculation of fractional value */
|
||||
fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
|
||||
|
||||
/* Read two nearest values of input value from the sin table */
|
||||
a = sinTable_q15[index];
|
||||
b = sinTable_q15[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
cosVal = (q31_t)(0x8000-fract)*a >> 16;
|
||||
cosVal = (q15_t)((((q31_t)cosVal << 16) + ((q31_t)fract*b)) >> 16);
|
||||
|
||||
return cosVal << 1;
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of cos group
|
||||
*/
|
||||
96
third_party/ARM/Source/FastMathFunctions/arm_cos_q31.c
vendored
Normal file
96
third_party/ARM/Source/FastMathFunctions/arm_cos_q31.c
vendored
Normal file
|
|
@ -0,0 +1,96 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 07. September 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_cos_q31.c
|
||||
*
|
||||
* Description: Fast cosine calculation for Q31 values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup cos
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @brief Fast approximation to the trigonometric cosine function for Q31 data.
|
||||
* @param[in] x Scaled input value in radians.
|
||||
* @return cos(x).
|
||||
*
|
||||
* The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
|
||||
* value in the range [0 2*pi).
|
||||
*/
|
||||
|
||||
q31_t arm_cos_q31(
|
||||
q31_t x)
|
||||
{
|
||||
q31_t cosVal; /* Temporary variables for input, output */
|
||||
int32_t index; /* Index variables */
|
||||
q31_t a, b; /* Four nearest output values */
|
||||
q31_t fract; /* Temporary values for fractional values */
|
||||
|
||||
/* add 0.25 (pi/2) to read sine table */
|
||||
x = (uint32_t)x + 0x20000000;
|
||||
if(x < 0)
|
||||
{ /* convert negative numbers to corresponding positive ones */
|
||||
x = (uint32_t)x + 0x80000000;
|
||||
}
|
||||
|
||||
/* Calculate the nearest index */
|
||||
index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
|
||||
|
||||
/* Calculation of fractional value */
|
||||
fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
|
||||
|
||||
/* Read two nearest values of input value from the sin table */
|
||||
a = sinTable_q31[index];
|
||||
b = sinTable_q31[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
cosVal = (q63_t)(0x80000000-fract)*a >> 32;
|
||||
cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);
|
||||
|
||||
return cosVal << 1;
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of cos group
|
||||
*/
|
||||
133
third_party/ARM/Source/FastMathFunctions/arm_sin_f32.c
vendored
Normal file
133
third_party/ARM/Source/FastMathFunctions/arm_sin_f32.c
vendored
Normal file
|
|
@ -0,0 +1,133 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 21. September 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_sin_f32.c
|
||||
*
|
||||
* Description: Fast sine calculation for floating-point values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
#include <math.h>
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @defgroup sin Sine
|
||||
*
|
||||
* Computes the trigonometric sine function using a combination of table lookup
|
||||
* and linear interpolation. There are separate functions for
|
||||
* Q15, Q31, and floating-point data types.
|
||||
* The input to the floating-point version is in radians while the
|
||||
* fixed-point Q15 and Q31 have a scaled input with the range
|
||||
* [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a
|
||||
* value of 2*pi wraps around to 0.
|
||||
*
|
||||
* The implementation is based on table lookup using 256 values together with linear interpolation.
|
||||
* The steps used are:
|
||||
* -# Calculation of the nearest integer table index
|
||||
* -# Compute the fractional portion (fract) of the table index.
|
||||
* -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
|
||||
*
|
||||
* where
|
||||
* <pre>
|
||||
* b=Table[index+0];
|
||||
* c=Table[index+1];
|
||||
* </pre>
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup sin
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @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)
|
||||
{
|
||||
float32_t sinVal, fract, in; /* Temporary variables for input, output */
|
||||
uint16_t index; /* Index variable */
|
||||
float32_t a, b; /* Two nearest output values */
|
||||
int32_t n;
|
||||
float32_t findex;
|
||||
|
||||
/* input x is in radians */
|
||||
/* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
|
||||
in = x * 0.159154943092f;
|
||||
|
||||
/* Calculation of floor value of input */
|
||||
n = (int32_t) in;
|
||||
|
||||
/* Make negative values towards -infinity */
|
||||
if(x < 0.0f)
|
||||
{
|
||||
n--;
|
||||
}
|
||||
|
||||
/* Map input value to [0 1] */
|
||||
in = in - (float32_t) n;
|
||||
|
||||
/* Calculation of index of the table */
|
||||
findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
|
||||
if (findex >= 512.0f) {
|
||||
findex -= 512.0f;
|
||||
}
|
||||
|
||||
index = ((uint16_t)findex) & 0x1ff;
|
||||
|
||||
/* fractional value calculation */
|
||||
fract = findex - (float32_t) index;
|
||||
|
||||
/* Read two nearest values of input value from the sin table */
|
||||
a = sinTable_f32[index];
|
||||
b = sinTable_f32[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
sinVal = (1.0f-fract)*a + fract*b;
|
||||
|
||||
/* Return the output value */
|
||||
return (sinVal);
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of sin group
|
||||
*/
|
||||
88
third_party/ARM/Source/FastMathFunctions/arm_sin_q15.c
vendored
Normal file
88
third_party/ARM/Source/FastMathFunctions/arm_sin_q15.c
vendored
Normal file
|
|
@ -0,0 +1,88 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 19. March 2015
|
||||
* $Revision: V.1.4.5
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_sin_q15.c
|
||||
*
|
||||
* Description: Fast sine calculation for Q15 values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup sin
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @brief Fast approximation to the trigonometric sine function for Q15 data.
|
||||
* @param[in] x Scaled input value in radians.
|
||||
* @return sin(x).
|
||||
*
|
||||
* The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi).
|
||||
*/
|
||||
|
||||
q15_t arm_sin_q15(
|
||||
q15_t x)
|
||||
{
|
||||
q15_t sinVal; /* Temporary variables for input, output */
|
||||
int32_t index; /* Index variables */
|
||||
q15_t a, b; /* Four nearest output values */
|
||||
q15_t fract; /* Temporary values for fractional values */
|
||||
|
||||
/* Calculate the nearest index */
|
||||
index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
|
||||
|
||||
/* Calculation of fractional value */
|
||||
fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
|
||||
|
||||
/* Read two nearest values of input value from the sin table */
|
||||
a = sinTable_q15[index];
|
||||
b = sinTable_q15[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
sinVal = (q31_t)(0x8000-fract)*a >> 16;
|
||||
sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
|
||||
|
||||
return sinVal << 1;
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of sin group
|
||||
*/
|
||||
87
third_party/ARM/Source/FastMathFunctions/arm_sin_q31.c
vendored
Normal file
87
third_party/ARM/Source/FastMathFunctions/arm_sin_q31.c
vendored
Normal file
|
|
@ -0,0 +1,87 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 19. March 2015
|
||||
* $Revision: V.1.4.5
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_sin_q31.c
|
||||
*
|
||||
* Description: Fast sine calculation for Q31 values.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup sin
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @brief Fast approximation to the trigonometric sine function for Q31 data.
|
||||
* @param[in] x Scaled input value in radians.
|
||||
* @return sin(x).
|
||||
*
|
||||
* The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */
|
||||
|
||||
q31_t arm_sin_q31(
|
||||
q31_t x)
|
||||
{
|
||||
q31_t sinVal; /* Temporary variables for input, output */
|
||||
int32_t index; /* Index variables */
|
||||
q31_t a, b; /* Four nearest output values */
|
||||
q31_t fract; /* Temporary values for fractional values */
|
||||
|
||||
/* Calculate the nearest index */
|
||||
index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
|
||||
|
||||
/* Calculation of fractional value */
|
||||
fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
|
||||
|
||||
/* Read two nearest values of input value from the sin table */
|
||||
a = sinTable_q31[index];
|
||||
b = sinTable_q31[index+1];
|
||||
|
||||
/* Linear interpolation process */
|
||||
sinVal = (q63_t)(0x80000000-fract)*a >> 32;
|
||||
sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32);
|
||||
|
||||
return sinVal << 1;
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of sin group
|
||||
*/
|
||||
155
third_party/ARM/Source/FastMathFunctions/arm_sqrt_q15.c
vendored
Normal file
155
third_party/ARM/Source/FastMathFunctions/arm_sqrt_q15.c
vendored
Normal file
|
|
@ -0,0 +1,155 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 19. October 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_sqrt_q15.c
|
||||
*
|
||||
* Description: Q15 square root function.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup SQRT
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @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 the input value is positive
|
||||
* and ARM_MATH_ARGUMENT_ERROR if the input is negative. For
|
||||
* negative inputs, the function returns *pOut = 0.
|
||||
*/
|
||||
|
||||
arm_status arm_sqrt_q15(
|
||||
q15_t in,
|
||||
q15_t * pOut)
|
||||
{
|
||||
q15_t number, temp1, var1, signBits1, half;
|
||||
q31_t bits_val1;
|
||||
float32_t temp_float1;
|
||||
union
|
||||
{
|
||||
q31_t fracval;
|
||||
float32_t floatval;
|
||||
} tempconv;
|
||||
|
||||
number = in;
|
||||
|
||||
/* If the input is a positive number then compute the signBits. */
|
||||
if(number > 0)
|
||||
{
|
||||
signBits1 = __CLZ(number) - 17;
|
||||
|
||||
/* Shift by the number of signBits1 */
|
||||
if((signBits1 % 2) == 0)
|
||||
{
|
||||
number = number << signBits1;
|
||||
}
|
||||
else
|
||||
{
|
||||
number = number << (signBits1 - 1);
|
||||
}
|
||||
|
||||
/* Calculate half value of the number */
|
||||
half = number >> 1;
|
||||
/* Store the number for later use */
|
||||
temp1 = number;
|
||||
|
||||
/* Convert to float */
|
||||
temp_float1 = number * 3.051757812500000e-005f;
|
||||
/*Store as integer */
|
||||
tempconv.floatval = temp_float1;
|
||||
bits_val1 = tempconv.fracval;
|
||||
/* Subtract the shifted value from the magic number to give intial guess */
|
||||
bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */
|
||||
/* Store as float */
|
||||
tempconv.fracval = bits_val1;
|
||||
temp_float1 = tempconv.floatval;
|
||||
/* Convert to integer format */
|
||||
var1 = (q31_t) (temp_float1 * 16384);
|
||||
|
||||
/* 1st iteration */
|
||||
var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
|
||||
((q15_t)
|
||||
((((q15_t)
|
||||
(((q31_t) var1 * var1) >> 15)) *
|
||||
(q31_t) half) >> 15))) >> 15)) << 2;
|
||||
/* 2nd iteration */
|
||||
var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
|
||||
((q15_t)
|
||||
((((q15_t)
|
||||
(((q31_t) var1 * var1) >> 15)) *
|
||||
(q31_t) half) >> 15))) >> 15)) << 2;
|
||||
/* 3rd iteration */
|
||||
var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
|
||||
((q15_t)
|
||||
((((q15_t)
|
||||
(((q31_t) var1 * var1) >> 15)) *
|
||||
(q31_t) half) >> 15))) >> 15)) << 2;
|
||||
|
||||
/* Multiply the inverse square root with the original value */
|
||||
var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1;
|
||||
|
||||
/* Shift the output down accordingly */
|
||||
if((signBits1 % 2) == 0)
|
||||
{
|
||||
var1 = var1 >> (signBits1 / 2);
|
||||
}
|
||||
else
|
||||
{
|
||||
var1 = var1 >> ((signBits1 - 1) / 2);
|
||||
}
|
||||
*pOut = var1;
|
||||
|
||||
return (ARM_MATH_SUCCESS);
|
||||
}
|
||||
/* If the number is a negative number then store zero as its square root value */
|
||||
else
|
||||
{
|
||||
*pOut = 0;
|
||||
return (ARM_MATH_ARGUMENT_ERROR);
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of SQRT group
|
||||
*/
|
||||
153
third_party/ARM/Source/FastMathFunctions/arm_sqrt_q31.c
vendored
Normal file
153
third_party/ARM/Source/FastMathFunctions/arm_sqrt_q31.c
vendored
Normal file
|
|
@ -0,0 +1,153 @@
|
|||
/* ----------------------------------------------------------------------
|
||||
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
|
||||
*
|
||||
* $Date: 19. October 2015
|
||||
* $Revision: V.1.4.5 a
|
||||
*
|
||||
* Project: CMSIS DSP Library
|
||||
* Title: arm_sqrt_q31.c
|
||||
*
|
||||
* Description: Q31 square root function.
|
||||
*
|
||||
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
|
||||
*
|
||||
* 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"
|
||||
#include "arm_common_tables.h"
|
||||
|
||||
/**
|
||||
* @ingroup groupFastMath
|
||||
*/
|
||||
|
||||
/**
|
||||
* @addtogroup SQRT
|
||||
* @{
|
||||
*/
|
||||
|
||||
/**
|
||||
* @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 the input value is positive
|
||||
* and ARM_MATH_ARGUMENT_ERROR if the input is negative. For
|
||||
* negative inputs, the function returns *pOut = 0.
|
||||
*/
|
||||
|
||||
arm_status arm_sqrt_q31(
|
||||
q31_t in,
|
||||
q31_t * pOut)
|
||||
{
|
||||
q31_t number, temp1, bits_val1, var1, signBits1, half;
|
||||
float32_t temp_float1;
|
||||
union
|
||||
{
|
||||
q31_t fracval;
|
||||
float32_t floatval;
|
||||
} tempconv;
|
||||
|
||||
number = in;
|
||||
|
||||
/* If the input is a positive number then compute the signBits. */
|
||||
if(number > 0)
|
||||
{
|
||||
signBits1 = __CLZ(number) - 1;
|
||||
|
||||
/* Shift by the number of signBits1 */
|
||||
if((signBits1 % 2) == 0)
|
||||
{
|
||||
number = number << signBits1;
|
||||
}
|
||||
else
|
||||
{
|
||||
number = number << (signBits1 - 1);
|
||||
}
|
||||
|
||||
/* Calculate half value of the number */
|
||||
half = number >> 1;
|
||||
/* Store the number for later use */
|
||||
temp1 = number;
|
||||
|
||||
/*Convert to float */
|
||||
temp_float1 = number * 4.6566128731e-010f;
|
||||
/*Store as integer */
|
||||
tempconv.floatval = temp_float1;
|
||||
bits_val1 = tempconv.fracval;
|
||||
/* Subtract the shifted value from the magic number to give intial guess */
|
||||
bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */
|
||||
/* Store as float */
|
||||
tempconv.fracval = bits_val1;
|
||||
temp_float1 = tempconv.floatval;
|
||||
/* Convert to integer format */
|
||||
var1 = (q31_t) (temp_float1 * 1073741824);
|
||||
|
||||
/* 1st iteration */
|
||||
var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
|
||||
((q31_t)
|
||||
((((q31_t)
|
||||
(((q63_t) var1 * var1) >> 31)) *
|
||||
(q63_t) half) >> 31))) >> 31)) << 2;
|
||||
/* 2nd iteration */
|
||||
var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
|
||||
((q31_t)
|
||||
((((q31_t)
|
||||
(((q63_t) var1 * var1) >> 31)) *
|
||||
(q63_t) half) >> 31))) >> 31)) << 2;
|
||||
/* 3rd iteration */
|
||||
var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
|
||||
((q31_t)
|
||||
((((q31_t)
|
||||
(((q63_t) var1 * var1) >> 31)) *
|
||||
(q63_t) half) >> 31))) >> 31)) << 2;
|
||||
|
||||
/* Multiply the inverse square root with the original value */
|
||||
var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1;
|
||||
|
||||
/* Shift the output down accordingly */
|
||||
if((signBits1 % 2) == 0)
|
||||
{
|
||||
var1 = var1 >> (signBits1 / 2);
|
||||
}
|
||||
else
|
||||
{
|
||||
var1 = var1 >> ((signBits1 - 1) / 2);
|
||||
}
|
||||
*pOut = var1;
|
||||
|
||||
return (ARM_MATH_SUCCESS);
|
||||
}
|
||||
/* If the number is a negative number then store zero as its square root value */
|
||||
else
|
||||
{
|
||||
*pOut = 0;
|
||||
return (ARM_MATH_ARGUMENT_ERROR);
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @} end of SQRT group
|
||||
*/
|
||||
Loading…
Add table
Add a link
Reference in a new issue