From 76177aa280494bb36d7a0bcbda1078d4db717020 Mon Sep 17 00:00:00 2001 From: Ali Labbene Date: Mon, 9 Dec 2019 11:25:19 +0100 Subject: Official ARM version: v4.5 --- DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c | 127 +++++++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c | 96 +++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c | 96 +++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c | 133 ++++++++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c | 88 ++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c | 87 +++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c | 155 ++++++++++++++++++++++++ DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c | 153 +++++++++++++++++++++++ 8 files changed, 935 insertions(+) create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c create mode 100644 DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c (limited to 'DSP_Lib/Source/FastMathFunctions') diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c new file mode 100644 index 0000000..890f37a --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c @@ -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 (1.0f-fract)*a + fract*b; + * + * where + * 
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ *
+ */ + + /** + * @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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c new file mode 100644 index 0000000..cb69268 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c @@ -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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c new file mode 100644 index 0000000..72c51e6 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c @@ -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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c new file mode 100644 index 0000000..8655cf9 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c @@ -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 + +/** + * @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 (1.0f-fract)*a + fract*b; + * + * where + * 
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ *
+ */ + +/** + * @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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c new file mode 100644 index 0000000..e2209b3 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c @@ -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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c new file mode 100644 index 0000000..606ab66 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c @@ -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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c new file mode 100644 index 0000000..3085dec --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c @@ -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 + */ diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c new file mode 100644 index 0000000..a9a0bf4 --- /dev/null +++ b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c @@ -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 + */ -- cgit