mirror of
https://github.com/IcedRooibos/py32f0-template.git
synced 2025-10-31 01:42:04 -07:00
374 lines
9.6 KiB
C
374 lines
9.6 KiB
C
/******************************************************************************
|
|
* @file arm_vec_math.h
|
|
* @brief Public header file for CMSIS DSP Library
|
|
* @version V1.10.0
|
|
* @date 08 July 2021
|
|
* Target Processor: Cortex-M and Cortex-A cores
|
|
******************************************************************************/
|
|
/*
|
|
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
|
|
*
|
|
* SPDX-License-Identifier: Apache-2.0
|
|
*
|
|
* Licensed under the Apache License, Version 2.0 (the License); you may
|
|
* not use this file except in compliance with the License.
|
|
* You may obtain a copy of the License at
|
|
*
|
|
* www.apache.org/licenses/LICENSE-2.0
|
|
*
|
|
* Unless required by applicable law or agreed to in writing, software
|
|
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
|
|
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
* See the License for the specific language governing permissions and
|
|
* limitations under the License.
|
|
*/
|
|
|
|
#ifndef _ARM_VEC_MATH_H
|
|
#define _ARM_VEC_MATH_H
|
|
|
|
#include "arm_math_types.h"
|
|
#include "arm_common_tables.h"
|
|
#include "arm_helium_utils.h"
|
|
|
|
#ifdef __cplusplus
|
|
extern "C"
|
|
{
|
|
#endif
|
|
|
|
#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
|
|
|
|
#define INV_NEWTON_INIT_F32 0x7EF127EA
|
|
|
|
static const float32_t __logf_rng_f32=0.693147180f;
|
|
|
|
|
|
/* fast inverse approximation (3x newton) */
|
|
__STATIC_INLINE f32x4_t vrecip_medprec_f32(
|
|
f32x4_t x)
|
|
{
|
|
q31x4_t m;
|
|
f32x4_t b;
|
|
any32x4_t xinv;
|
|
f32x4_t ax = vabsq(x);
|
|
|
|
xinv.f = ax;
|
|
m = 0x3F800000 - (xinv.i & 0x7F800000);
|
|
xinv.i = xinv.i + m;
|
|
xinv.f = 1.41176471f - 0.47058824f * xinv.f;
|
|
xinv.i = xinv.i + m;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
|
|
/*
|
|
* restore sign
|
|
*/
|
|
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
|
|
|
|
return xinv.f;
|
|
}
|
|
|
|
/* fast inverse approximation (4x newton) */
|
|
__STATIC_INLINE f32x4_t vrecip_hiprec_f32(
|
|
f32x4_t x)
|
|
{
|
|
q31x4_t m;
|
|
f32x4_t b;
|
|
any32x4_t xinv;
|
|
f32x4_t ax = vabsq(x);
|
|
|
|
xinv.f = ax;
|
|
|
|
m = 0x3F800000 - (xinv.i & 0x7F800000);
|
|
xinv.i = xinv.i + m;
|
|
xinv.f = 1.41176471f - 0.47058824f * xinv.f;
|
|
xinv.i = xinv.i + m;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
b = 2.0f - xinv.f * ax;
|
|
xinv.f = xinv.f * b;
|
|
|
|
xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
|
|
/*
|
|
* restore sign
|
|
*/
|
|
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
|
|
|
|
return xinv.f;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vdiv_f32(
|
|
f32x4_t num, f32x4_t den)
|
|
{
|
|
return vmulq(num, vrecip_hiprec_f32(den));
|
|
}
|
|
|
|
/**
|
|
@brief Single-precision taylor dev.
|
|
@param[in] x f32 quad vector input
|
|
@param[in] coeffs f32 quad vector coeffs
|
|
@return destination f32 quad vector
|
|
*/
|
|
|
|
__STATIC_INLINE f32x4_t vtaylor_polyq_f32(
|
|
f32x4_t x,
|
|
const float32_t * coeffs)
|
|
{
|
|
f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]);
|
|
f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]);
|
|
f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]);
|
|
f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]);
|
|
f32x4_t x2 = vmulq(x, x);
|
|
f32x4_t x4 = vmulq(x2, x2);
|
|
f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4);
|
|
|
|
return res;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vmant_exp_f32(
|
|
f32x4_t x,
|
|
int32x4_t * e)
|
|
{
|
|
any32x4_t r;
|
|
int32x4_t n;
|
|
|
|
r.f = x;
|
|
n = r.i >> 23;
|
|
n = n - 127;
|
|
r.i = r.i - (n << 23);
|
|
|
|
*e = n;
|
|
return r.f;
|
|
}
|
|
|
|
|
|
__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn)
|
|
{
|
|
q31x4_t vecExpUnBiased;
|
|
f32x4_t vecTmpFlt0, vecTmpFlt1;
|
|
f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3;
|
|
f32x4_t vecExpUnBiasedFlt;
|
|
|
|
/*
|
|
* extract exponent
|
|
*/
|
|
vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased);
|
|
|
|
vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
|
|
/*
|
|
* a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]);
|
|
*/
|
|
vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]);
|
|
vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]);
|
|
/*
|
|
* b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]);
|
|
*/
|
|
vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]);
|
|
vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]);
|
|
/*
|
|
* c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]);
|
|
*/
|
|
vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]);
|
|
vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]);
|
|
/*
|
|
* d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]);
|
|
*/
|
|
vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]);
|
|
vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]);
|
|
/*
|
|
* a = a + b * xx;
|
|
*/
|
|
vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0);
|
|
/*
|
|
* c = c + d * xx;
|
|
*/
|
|
vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0);
|
|
/*
|
|
* xx = xx * xx;
|
|
*/
|
|
vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0;
|
|
vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased);
|
|
/*
|
|
* r.f = a + c * xx;
|
|
*/
|
|
vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
|
|
/*
|
|
* add exponent
|
|
* r.f = r.f + ((float32_t) m) * __logf_rng_f32;
|
|
*/
|
|
vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32);
|
|
// set log0 down to -inf
|
|
vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f));
|
|
return vecAcc0;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vexpq_f32(
|
|
f32x4_t x)
|
|
{
|
|
// Perform range reduction [-log(2),log(2)]
|
|
int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f));
|
|
f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f));
|
|
|
|
// Polynomial Approximation
|
|
f32x4_t poly = vtaylor_polyq_f32(val, exp_tab);
|
|
|
|
// Reconstruct
|
|
poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23)));
|
|
|
|
poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126));
|
|
return poly;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb)
|
|
{
|
|
f32x4_t r = x;
|
|
nb--;
|
|
while (nb > 0) {
|
|
r = vmulq(r, x);
|
|
nb--;
|
|
}
|
|
return (r);
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn)
|
|
{
|
|
f32x4_t vecSx, vecW, vecTmp;
|
|
any32x4_t v;
|
|
|
|
vecSx = vabsq(vecIn);
|
|
|
|
v.f = vecIn;
|
|
v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i);
|
|
|
|
vecW = vmulq(vecSx, v.f);
|
|
|
|
// v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w)))))));
|
|
vecTmp = vsubq(vdupq_n_f32(8.0f), vecW);
|
|
vecTmp = vfmasq(vecW, vecTmp, -28.0f);
|
|
vecTmp = vfmasq(vecW, vecTmp, 56.0f);
|
|
vecTmp = vfmasq(vecW, vecTmp, -70.0f);
|
|
vecTmp = vfmasq(vecW, vecTmp, 56.0f);
|
|
vecTmp = vfmasq(vecW, vecTmp, -28.0f);
|
|
vecTmp = vfmasq(vecW, vecTmp, 8.0f);
|
|
v.f = vmulq(v.f, vecTmp);
|
|
|
|
v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f));
|
|
/*
|
|
* restore sign
|
|
*/
|
|
v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f));
|
|
return v.f;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vtanhq_f32(
|
|
f32x4_t val)
|
|
{
|
|
f32x4_t x =
|
|
vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f));
|
|
f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f));
|
|
f32x4_t num = vsubq_n_f32(exp2x, 1.f);
|
|
f32x4_t den = vaddq_n_f32(exp2x, 1.f);
|
|
f32x4_t tanh = vmulq_f32(num, vrecip_f32(den));
|
|
return tanh;
|
|
}
|
|
|
|
__STATIC_INLINE f32x4_t vpowq_f32(
|
|
f32x4_t val,
|
|
f32x4_t n)
|
|
{
|
|
return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
|
|
}
|
|
|
|
#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
|
|
|
|
#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
|
|
#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
|
|
|
|
#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
|
|
|
|
#include "NEMath.h"
|
|
/**
|
|
* @brief Vectorized integer exponentiation
|
|
* @param[in] x value
|
|
* @param[in] nb integer exponent >= 1
|
|
* @return x^nb
|
|
*
|
|
*/
|
|
__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb)
|
|
{
|
|
float32x4_t r = x;
|
|
nb --;
|
|
while(nb > 0)
|
|
{
|
|
r = vmulq_f32(r , x);
|
|
nb--;
|
|
}
|
|
return(r);
|
|
}
|
|
|
|
|
|
__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x)
|
|
{
|
|
float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN));
|
|
float32x4_t e = vrsqrteq_f32(x1);
|
|
e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
|
|
e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
|
|
return vmulq_f32(x, e);
|
|
}
|
|
|
|
__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec)
|
|
{
|
|
float32x4_t tempF;
|
|
int32x4_t tempHI,tempLO;
|
|
|
|
tempLO = vmovl_s16(vget_low_s16(vec));
|
|
tempF = vcvtq_n_f32_s32(tempLO,15);
|
|
tempF = __arm_vec_sqrt_f32_neon(tempF);
|
|
tempLO = vcvtq_n_s32_f32(tempF,15);
|
|
|
|
tempHI = vmovl_s16(vget_high_s16(vec));
|
|
tempF = vcvtq_n_f32_s32(tempHI,15);
|
|
tempF = __arm_vec_sqrt_f32_neon(tempF);
|
|
tempHI = vcvtq_n_s32_f32(tempF,15);
|
|
|
|
return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI)));
|
|
}
|
|
|
|
__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec)
|
|
{
|
|
float32x4_t temp;
|
|
|
|
temp = vcvtq_n_f32_s32(vec,31);
|
|
temp = __arm_vec_sqrt_f32_neon(temp);
|
|
return(vcvtq_n_s32_f32(temp,31));
|
|
}
|
|
|
|
#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
|
|
#endif /* _ARM_VEC_MATH_H */
|
|
|
|
/**
|
|
*
|
|
* End of file.
|
|
*/
|