373 lines
9.9 KiB
C
373 lines
9.9 KiB
C
/******************************************************************************
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* @file arm_vec_math.h
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* @version v2.0.9
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* @date 2022-06-28
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* @brief Public header file for CMSIS DSP Library
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******************************************************************************/
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/*
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* Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the License); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an AS IS BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef _ARM_VEC_MATH_H
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#define _ARM_VEC_MATH_H
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#include "arm_math.h"
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#include "arm_common_tables.h"
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#include "arm_helium_utils.h"
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#ifdef __cplusplus
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extern "C"
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{
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#endif
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#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
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#define INV_NEWTON_INIT_F32 0x7EF127EA
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static const float32_t __logf_rng_f32=0.693147180f;
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/* fast inverse approximation (3x newton) */
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__STATIC_INLINE f32x4_t vrecip_medprec_f32(
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f32x4_t x)
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{
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q31x4_t m;
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f32x4_t b;
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any32x4_t xinv;
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f32x4_t ax = vabsq(x);
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xinv.f = ax;
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m = 0x3F800000 - (xinv.i & 0x7F800000);
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xinv.i = xinv.i + m;
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xinv.f = 1.41176471f - 0.47058824f * xinv.f;
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xinv.i = xinv.i + m;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
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/*
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* restore sign
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*/
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xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
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return xinv.f;
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}
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/* fast inverse approximation (4x newton) */
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__STATIC_INLINE f32x4_t vrecip_hiprec_f32(
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f32x4_t x)
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{
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q31x4_t m;
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f32x4_t b;
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any32x4_t xinv;
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f32x4_t ax = vabsq(x);
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xinv.f = ax;
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m = 0x3F800000 - (xinv.i & 0x7F800000);
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xinv.i = xinv.i + m;
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xinv.f = 1.41176471f - 0.47058824f * xinv.f;
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xinv.i = xinv.i + m;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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b = 2.0f - xinv.f * ax;
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xinv.f = xinv.f * b;
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xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
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/*
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* restore sign
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*/
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xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
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return xinv.f;
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}
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__STATIC_INLINE f32x4_t vdiv_f32(
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f32x4_t num, f32x4_t den)
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{
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return vmulq(num, vrecip_hiprec_f32(den));
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}
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/**
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@brief Single-precision taylor dev.
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@param[in] x f32 quad vector input
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@param[in] coeffs f32 quad vector coeffs
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@return destination f32 quad vector
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*/
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__STATIC_INLINE f32x4_t vtaylor_polyq_f32(
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f32x4_t x,
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const float32_t * coeffs)
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{
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f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]);
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f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]);
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f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]);
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f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]);
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f32x4_t x2 = vmulq(x, x);
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f32x4_t x4 = vmulq(x2, x2);
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f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4);
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return res;
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}
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__STATIC_INLINE f32x4_t vmant_exp_f32(
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f32x4_t x,
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int32x4_t * e)
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{
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any32x4_t r;
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int32x4_t n;
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r.f = x;
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n = r.i >> 23;
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n = n - 127;
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r.i = r.i - (n << 23);
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*e = n;
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return r.f;
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}
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__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn)
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{
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q31x4_t vecExpUnBiased;
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f32x4_t vecTmpFlt0, vecTmpFlt1;
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f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3;
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f32x4_t vecExpUnBiasedFlt;
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/*
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* extract exponent
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*/
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vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased);
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vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
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/*
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* a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]);
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*/
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vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]);
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vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]);
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/*
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* b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]);
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*/
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vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]);
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vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]);
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/*
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* c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]);
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*/
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vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]);
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vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]);
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/*
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* d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]);
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*/
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vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]);
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vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]);
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/*
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* a = a + b * xx;
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*/
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vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0);
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/*
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* c = c + d * xx;
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*/
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vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0);
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/*
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* xx = xx * xx;
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*/
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vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0;
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vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased);
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/*
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* r.f = a + c * xx;
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*/
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vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
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/*
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* add exponent
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* r.f = r.f + ((float32_t) m) * __logf_rng_f32;
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*/
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vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32);
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// set log0 down to -inf
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vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f));
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return vecAcc0;
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}
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__STATIC_INLINE f32x4_t vexpq_f32(
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f32x4_t x)
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{
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// Perform range reduction [-log(2),log(2)]
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int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f));
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f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f));
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// Polynomial Approximation
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f32x4_t poly = vtaylor_polyq_f32(val, exp_tab);
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// Reconstruct
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poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23)));
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poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126));
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return poly;
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}
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__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb)
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{
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f32x4_t r = x;
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nb--;
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while (nb > 0) {
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r = vmulq(r, x);
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nb--;
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}
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return (r);
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}
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__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn)
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{
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f32x4_t vecSx, vecW, vecTmp;
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any32x4_t v;
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vecSx = vabsq(vecIn);
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v.f = vecIn;
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v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i);
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vecW = vmulq(vecSx, v.f);
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// v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w)))))));
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vecTmp = vsubq(vdupq_n_f32(8.0f), vecW);
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vecTmp = vfmasq(vecW, vecTmp, -28.0f);
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vecTmp = vfmasq(vecW, vecTmp, 56.0f);
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vecTmp = vfmasq(vecW, vecTmp, -70.0f);
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vecTmp = vfmasq(vecW, vecTmp, 56.0f);
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vecTmp = vfmasq(vecW, vecTmp, -28.0f);
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vecTmp = vfmasq(vecW, vecTmp, 8.0f);
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v.f = vmulq(v.f, vecTmp);
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v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f));
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/*
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* restore sign
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*/
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v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f));
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return v.f;
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}
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__STATIC_INLINE f32x4_t vtanhq_f32(
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f32x4_t val)
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{
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f32x4_t x =
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vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f));
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f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f));
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f32x4_t num = vsubq_n_f32(exp2x, 1.f);
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f32x4_t den = vaddq_n_f32(exp2x, 1.f);
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f32x4_t tanh = vmulq_f32(num, vrecip_f32(den));
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return tanh;
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}
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__STATIC_INLINE f32x4_t vpowq_f32(
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f32x4_t val,
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f32x4_t n)
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{
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return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
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}
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#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
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#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM))
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#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
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#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
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#include "NEMath.h"
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/**
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* @brief Vectorized integer exponentiation
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* @param[in] x value
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* @param[in] nb integer exponent >= 1
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* @return x^nb
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*
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*/
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__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb)
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{
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float32x4_t r = x;
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nb --;
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while(nb > 0)
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{
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r = vmulq_f32(r , x);
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nb--;
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}
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return(r);
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}
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__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x)
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{
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float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN));
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float32x4_t e = vrsqrteq_f32(x1);
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e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
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e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
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return vmulq_f32(x, e);
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}
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__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec)
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{
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float32x4_t tempF;
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int32x4_t tempHI,tempLO;
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tempLO = vmovl_s16(vget_low_s16(vec));
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tempF = vcvtq_n_f32_s32(tempLO,15);
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tempF = __arm_vec_sqrt_f32_neon(tempF);
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tempLO = vcvtq_n_s32_f32(tempF,15);
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tempHI = vmovl_s16(vget_high_s16(vec));
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tempF = vcvtq_n_f32_s32(tempHI,15);
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tempF = __arm_vec_sqrt_f32_neon(tempF);
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tempHI = vcvtq_n_s32_f32(tempF,15);
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return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI)));
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}
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__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec)
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{
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float32x4_t temp;
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temp = vcvtq_n_f32_s32(vec,31);
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temp = __arm_vec_sqrt_f32_neon(temp);
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return(vcvtq_n_s32_f32(temp,31));
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}
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#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */
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#ifdef __cplusplus
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}
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#endif
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#endif /* _ARM_VEC_MATH_H */
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/**
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*
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* End of file.
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*/
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