1*4bdc9457SAndroid Build Coastguard Worker// Copyright 2020 Google LLC 2*4bdc9457SAndroid Build Coastguard Worker// 3*4bdc9457SAndroid Build Coastguard Worker// This source code is licensed under the BSD-style license found in the 4*4bdc9457SAndroid Build Coastguard Worker// LICENSE file in the root directory of this source tree. 5*4bdc9457SAndroid Build Coastguard Worker 6*4bdc9457SAndroid Build Coastguard Worker$assert BATCH_TILE % 8 == 0 7*4bdc9457SAndroid Build Coastguard Worker$assert BATCH_TILE >= 8 8*4bdc9457SAndroid Build Coastguard Worker$assert DIV_ALGO in ["div", "nr2"] 9*4bdc9457SAndroid Build Coastguard Worker$ABC = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ" 10*4bdc9457SAndroid Build Coastguard Worker$SIMD_TILE = BATCH_TILE // 8 11*4bdc9457SAndroid Build Coastguard Worker#include <assert.h> 12*4bdc9457SAndroid Build Coastguard Worker 13*4bdc9457SAndroid Build Coastguard Worker#include <immintrin.h> 14*4bdc9457SAndroid Build Coastguard Worker 15*4bdc9457SAndroid Build Coastguard Worker#include <xnnpack/common.h> 16*4bdc9457SAndroid Build Coastguard Worker#include <xnnpack/vunary.h> 17*4bdc9457SAndroid Build Coastguard Worker 18*4bdc9457SAndroid Build Coastguard Worker 19*4bdc9457SAndroid Build Coastguard Workervoid xnn_f32_vsigmoid_ukernel__avx_rr2_p5_${DIV_ALGO}_x${BATCH_TILE}( 20*4bdc9457SAndroid Build Coastguard Worker size_t n, 21*4bdc9457SAndroid Build Coastguard Worker const float* x, 22*4bdc9457SAndroid Build Coastguard Worker float* y, 23*4bdc9457SAndroid Build Coastguard Worker const union xnn_f32_sigmoid_params params[restrict XNN_MIN_ELEMENTS(1)]) 24*4bdc9457SAndroid Build Coastguard Worker{ 25*4bdc9457SAndroid Build Coastguard Worker assert(n % sizeof(float) == 0); 26*4bdc9457SAndroid Build Coastguard Worker 27*4bdc9457SAndroid Build Coastguard Worker const __m256 vsign_mask = _mm256_load_ps(params->avx_rr2_p5.sign_mask); 28*4bdc9457SAndroid Build Coastguard Worker const __m256 vmagic_bias = _mm256_load_ps(params->avx_rr2_p5.magic_bias); 29*4bdc9457SAndroid Build Coastguard Worker const __m256 vlog2e = _mm256_load_ps(params->avx_rr2_p5.log2e); 30*4bdc9457SAndroid Build Coastguard Worker const __m256 vminus_ln2_hi = _mm256_load_ps(params->avx_rr2_p5.minus_ln2_hi); 31*4bdc9457SAndroid Build Coastguard Worker const __m256 vminus_ln2_lo = _mm256_load_ps(params->avx_rr2_p5.minus_ln2_lo); 32*4bdc9457SAndroid Build Coastguard Worker const __m256 vc5 = _mm256_load_ps(params->avx_rr2_p5.c5); 33*4bdc9457SAndroid Build Coastguard Worker const __m256 vc4 = _mm256_load_ps(params->avx_rr2_p5.c4); 34*4bdc9457SAndroid Build Coastguard Worker const __m256 vc3 = _mm256_load_ps(params->avx_rr2_p5.c3); 35*4bdc9457SAndroid Build Coastguard Worker const __m256 vc2 = _mm256_load_ps(params->avx_rr2_p5.c2); 36*4bdc9457SAndroid Build Coastguard Worker const __m256 vc1 = _mm256_load_ps(params->avx_rr2_p5.c1); 37*4bdc9457SAndroid Build Coastguard Worker const __m256 vone = _mm256_load_ps(params->avx_rr2_p5.one); 38*4bdc9457SAndroid Build Coastguard Worker $if DIV_ALGO == "nr2": 39*4bdc9457SAndroid Build Coastguard Worker const __m256 vtwo = _mm256_load_ps(params->avx_rr2_p5.two); 40*4bdc9457SAndroid Build Coastguard Worker const __m256 vdenorm_cutoff = _mm256_load_ps(params->avx_rr2_p5.denorm_cutoff); 41*4bdc9457SAndroid Build Coastguard Worker 42*4bdc9457SAndroid Build Coastguard Worker $if BATCH_TILE > 8: 43*4bdc9457SAndroid Build Coastguard Worker for (; n >= ${BATCH_TILE} * sizeof(float); n -= ${BATCH_TILE} * sizeof(float)) { 44*4bdc9457SAndroid Build Coastguard Worker const __m256 vx${ABC[0]} = _mm256_loadu_ps(x); 45*4bdc9457SAndroid Build Coastguard Worker $for N in range(1, SIMD_TILE): 46*4bdc9457SAndroid Build Coastguard Worker const __m256 vx${ABC[N]} = _mm256_loadu_ps(x + ${N * 8}); 47*4bdc9457SAndroid Build Coastguard Worker x += ${BATCH_TILE}; 48*4bdc9457SAndroid Build Coastguard Worker 49*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 50*4bdc9457SAndroid Build Coastguard Worker const __m256 vz${ABC[N]} = _mm256_or_ps(vx${ABC[N]}, vsign_mask); 51*4bdc9457SAndroid Build Coastguard Worker 52*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 53*4bdc9457SAndroid Build Coastguard Worker __m256 vn${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vz${ABC[N]}, vlog2e), vmagic_bias); 54*4bdc9457SAndroid Build Coastguard Worker 55*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 56*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_lo${ABC[N]} = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_castps256_ps128(vn${ABC[N]})), 23)); 57*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_hi${ABC[N]} = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_extractf128_ps(vn${ABC[N]}, 1)), 23)); 58*4bdc9457SAndroid Build Coastguard Worker const __m256 vs${ABC[N]} = _mm256_insertf128_ps(_mm256_castps128_ps256(vs_lo${ABC[N]}), vs_hi${ABC[N]}, 1); 59*4bdc9457SAndroid Build Coastguard Worker 60*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 61*4bdc9457SAndroid Build Coastguard Worker vn${ABC[N]} = _mm256_sub_ps(vn${ABC[N]}, vmagic_bias); 62*4bdc9457SAndroid Build Coastguard Worker 63*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 64*4bdc9457SAndroid Build Coastguard Worker __m256 vt${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vn${ABC[N]}, vminus_ln2_hi), vz${ABC[N]}); 65*4bdc9457SAndroid Build Coastguard Worker 66*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 67*4bdc9457SAndroid Build Coastguard Worker vt${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vn${ABC[N]}, vminus_ln2_lo), vt${ABC[N]}); 68*4bdc9457SAndroid Build Coastguard Worker 69*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 70*4bdc9457SAndroid Build Coastguard Worker __m256 vp${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vc5, vt${ABC[N]}), vc4); 71*4bdc9457SAndroid Build Coastguard Worker 72*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 73*4bdc9457SAndroid Build Coastguard Worker vp${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vp${ABC[N]}, vt${ABC[N]}), vc3); 74*4bdc9457SAndroid Build Coastguard Worker 75*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 76*4bdc9457SAndroid Build Coastguard Worker vp${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vp${ABC[N]}, vt${ABC[N]}), vc2); 77*4bdc9457SAndroid Build Coastguard Worker 78*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 79*4bdc9457SAndroid Build Coastguard Worker vp${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vp${ABC[N]}, vt${ABC[N]}), vc1); 80*4bdc9457SAndroid Build Coastguard Worker 81*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 82*4bdc9457SAndroid Build Coastguard Worker vt${ABC[N]} = _mm256_mul_ps(vt${ABC[N]}, vs${ABC[N]}); 83*4bdc9457SAndroid Build Coastguard Worker 84*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 85*4bdc9457SAndroid Build Coastguard Worker const __m256 ve${ABC[N]} = _mm256_add_ps(_mm256_mul_ps(vt${ABC[N]}, vp${ABC[N]}), vs${ABC[N]}); 86*4bdc9457SAndroid Build Coastguard Worker 87*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 88*4bdc9457SAndroid Build Coastguard Worker const __m256 vd${ABC[N]} = _mm256_add_ps(ve${ABC[N]}, vone); 89*4bdc9457SAndroid Build Coastguard Worker 90*4bdc9457SAndroid Build Coastguard Worker $if DIV_ALGO == "div": 91*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 92*4bdc9457SAndroid Build Coastguard Worker __m256 vf${ABC[N]} = _mm256_div_ps(ve${ABC[N]}, vd${ABC[N]}); 93*4bdc9457SAndroid Build Coastguard Worker $else: 94*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 95*4bdc9457SAndroid Build Coastguard Worker __m256 vr${ABC[N]} = _mm256_rcp_ps(vd${ABC[N]}); 96*4bdc9457SAndroid Build Coastguard Worker 97*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 98*4bdc9457SAndroid Build Coastguard Worker vr${ABC[N]} = _mm256_mul_ps(vr${ABC[N]}, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr${ABC[N]}, vd${ABC[N]}))); 99*4bdc9457SAndroid Build Coastguard Worker vr${ABC[N]} = _mm256_mul_ps(vr${ABC[N]}, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr${ABC[N]}, vd${ABC[N]}))); 100*4bdc9457SAndroid Build Coastguard Worker 101*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 102*4bdc9457SAndroid Build Coastguard Worker __m256 vf${ABC[N]} = _mm256_mul_ps(ve${ABC[N]}, vr${ABC[N]}); 103*4bdc9457SAndroid Build Coastguard Worker 104*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 105*4bdc9457SAndroid Build Coastguard Worker vf${ABC[N]} = _mm256_andnot_ps(_mm256_cmp_ps(vz${ABC[N]}, vdenorm_cutoff, _CMP_LT_OS), vf${ABC[N]}); 106*4bdc9457SAndroid Build Coastguard Worker 107*4bdc9457SAndroid Build Coastguard Worker $for N in range(SIMD_TILE): 108*4bdc9457SAndroid Build Coastguard Worker vf${ABC[N]} = _mm256_blendv_ps(_mm256_sub_ps(vone, vf${ABC[N]}), vf${ABC[N]}, vx${ABC[N]}); 109*4bdc9457SAndroid Build Coastguard Worker 110*4bdc9457SAndroid Build Coastguard Worker _mm256_storeu_ps(y, vf${ABC[0]}); 111*4bdc9457SAndroid Build Coastguard Worker $for N in range(1, SIMD_TILE): 112*4bdc9457SAndroid Build Coastguard Worker _mm256_storeu_ps(y + ${N * 8}, vf${ABC[N]}); 113*4bdc9457SAndroid Build Coastguard Worker y += ${BATCH_TILE}; 114*4bdc9457SAndroid Build Coastguard Worker } 115*4bdc9457SAndroid Build Coastguard Worker for (; n >= 8 * sizeof(float); n -= 8 * sizeof(float)) { 116*4bdc9457SAndroid Build Coastguard Worker const __m256 vx = _mm256_loadu_ps(x); 117*4bdc9457SAndroid Build Coastguard Worker x += 8; 118*4bdc9457SAndroid Build Coastguard Worker 119*4bdc9457SAndroid Build Coastguard Worker const __m256 vz = _mm256_or_ps(vx, vsign_mask); 120*4bdc9457SAndroid Build Coastguard Worker 121*4bdc9457SAndroid Build Coastguard Worker __m256 vn = _mm256_add_ps(_mm256_mul_ps(vz, vlog2e), vmagic_bias); 122*4bdc9457SAndroid Build Coastguard Worker 123*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_lo = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_castps256_ps128(vn)), 23)); 124*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_hi = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_extractf128_ps(vn, 1)), 23)); 125*4bdc9457SAndroid Build Coastguard Worker const __m256 vs = _mm256_insertf128_ps(_mm256_castps128_ps256(vs_lo), vs_hi, 1); 126*4bdc9457SAndroid Build Coastguard Worker 127*4bdc9457SAndroid Build Coastguard Worker vn = _mm256_sub_ps(vn, vmagic_bias); 128*4bdc9457SAndroid Build Coastguard Worker 129*4bdc9457SAndroid Build Coastguard Worker __m256 vt = _mm256_add_ps(_mm256_mul_ps(vn, vminus_ln2_hi), vz); 130*4bdc9457SAndroid Build Coastguard Worker vt = _mm256_add_ps(_mm256_mul_ps(vn, vminus_ln2_lo), vt); 131*4bdc9457SAndroid Build Coastguard Worker 132*4bdc9457SAndroid Build Coastguard Worker __m256 vp = _mm256_add_ps(_mm256_mul_ps(vc5, vt), vc4); 133*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc3); 134*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc2); 135*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc1); 136*4bdc9457SAndroid Build Coastguard Worker 137*4bdc9457SAndroid Build Coastguard Worker vt = _mm256_mul_ps(vt, vs); 138*4bdc9457SAndroid Build Coastguard Worker const __m256 ve = _mm256_add_ps(_mm256_mul_ps(vt, vp), vs); 139*4bdc9457SAndroid Build Coastguard Worker 140*4bdc9457SAndroid Build Coastguard Worker const __m256 vd = _mm256_add_ps(ve, vone); 141*4bdc9457SAndroid Build Coastguard Worker $if DIV_ALGO == "div": 142*4bdc9457SAndroid Build Coastguard Worker __m256 vf = _mm256_div_ps(ve, vd); 143*4bdc9457SAndroid Build Coastguard Worker $else: 144*4bdc9457SAndroid Build Coastguard Worker __m256 vr = _mm256_rcp_ps(vd); 145*4bdc9457SAndroid Build Coastguard Worker vr = _mm256_mul_ps(vr, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr, vd))); 146*4bdc9457SAndroid Build Coastguard Worker vr = _mm256_mul_ps(vr, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr, vd))); 147*4bdc9457SAndroid Build Coastguard Worker __m256 vf = _mm256_mul_ps(ve, vr); 148*4bdc9457SAndroid Build Coastguard Worker 149*4bdc9457SAndroid Build Coastguard Worker vf = _mm256_andnot_ps(_mm256_cmp_ps(vz, vdenorm_cutoff, _CMP_LT_OS), vf); 150*4bdc9457SAndroid Build Coastguard Worker vf = _mm256_blendv_ps(_mm256_sub_ps(vone, vf), vf, vx); 151*4bdc9457SAndroid Build Coastguard Worker 152*4bdc9457SAndroid Build Coastguard Worker _mm256_storeu_ps(y, vf); 153*4bdc9457SAndroid Build Coastguard Worker y += 8; 154*4bdc9457SAndroid Build Coastguard Worker } 155*4bdc9457SAndroid Build Coastguard Worker if XNN_UNLIKELY(n != 0) { 156*4bdc9457SAndroid Build Coastguard Worker assert(n >= 1 * sizeof(float)); 157*4bdc9457SAndroid Build Coastguard Worker assert(n <= 7 * sizeof(float)); 158*4bdc9457SAndroid Build Coastguard Worker const __m256i vmask = _mm256_loadu_si256((const __m256i*) ((uintptr_t) ¶ms->avx_rr2_p5.mask_table[7] - n)); 159*4bdc9457SAndroid Build Coastguard Worker 160*4bdc9457SAndroid Build Coastguard Worker const __m256 vx = _mm256_maskload_ps(x, vmask); 161*4bdc9457SAndroid Build Coastguard Worker 162*4bdc9457SAndroid Build Coastguard Worker const __m256 vz = _mm256_or_ps(vx, vsign_mask); 163*4bdc9457SAndroid Build Coastguard Worker 164*4bdc9457SAndroid Build Coastguard Worker __m256 vn = _mm256_add_ps(_mm256_mul_ps(vz, vlog2e), vmagic_bias); 165*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_lo = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_castps256_ps128(vn)), 23)); 166*4bdc9457SAndroid Build Coastguard Worker const __m128 vs_hi = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(_mm256_extractf128_ps(vn, 1)), 23)); 167*4bdc9457SAndroid Build Coastguard Worker const __m256 vs = _mm256_insertf128_ps(_mm256_castps128_ps256(vs_lo), vs_hi, 1); 168*4bdc9457SAndroid Build Coastguard Worker 169*4bdc9457SAndroid Build Coastguard Worker vn = _mm256_sub_ps(vn, vmagic_bias); 170*4bdc9457SAndroid Build Coastguard Worker 171*4bdc9457SAndroid Build Coastguard Worker __m256 vt = _mm256_add_ps(_mm256_mul_ps(vn, vminus_ln2_hi), vz); 172*4bdc9457SAndroid Build Coastguard Worker vt = _mm256_add_ps(_mm256_mul_ps(vn, vminus_ln2_lo), vt); 173*4bdc9457SAndroid Build Coastguard Worker 174*4bdc9457SAndroid Build Coastguard Worker __m256 vp = _mm256_add_ps(_mm256_mul_ps(vc5, vt), vc4); 175*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc3); 176*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc2); 177*4bdc9457SAndroid Build Coastguard Worker vp = _mm256_add_ps(_mm256_mul_ps(vp, vt), vc1); 178*4bdc9457SAndroid Build Coastguard Worker 179*4bdc9457SAndroid Build Coastguard Worker vt = _mm256_mul_ps(vt, vs); 180*4bdc9457SAndroid Build Coastguard Worker const __m256 ve = _mm256_add_ps(_mm256_mul_ps(vt, vp), vs); 181*4bdc9457SAndroid Build Coastguard Worker 182*4bdc9457SAndroid Build Coastguard Worker const __m256 vd = _mm256_add_ps(ve, vone); 183*4bdc9457SAndroid Build Coastguard Worker $if DIV_ALGO == "div": 184*4bdc9457SAndroid Build Coastguard Worker __m256 vf = _mm256_div_ps(ve, vd); 185*4bdc9457SAndroid Build Coastguard Worker $else: 186*4bdc9457SAndroid Build Coastguard Worker __m256 vr = _mm256_rcp_ps(vd); 187*4bdc9457SAndroid Build Coastguard Worker vr = _mm256_mul_ps(vr, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr, vd))); 188*4bdc9457SAndroid Build Coastguard Worker vr = _mm256_mul_ps(vr, _mm256_sub_ps(vtwo, _mm256_mul_ps(vr, vd))); 189*4bdc9457SAndroid Build Coastguard Worker __m256 vf = _mm256_mul_ps(ve, vr); 190*4bdc9457SAndroid Build Coastguard Worker 191*4bdc9457SAndroid Build Coastguard Worker vf = _mm256_andnot_ps(_mm256_cmp_ps(vz, vdenorm_cutoff, _CMP_LT_OS), vf); 192*4bdc9457SAndroid Build Coastguard Worker vf = _mm256_blendv_ps(_mm256_sub_ps(vone, vf), vf, vx); 193*4bdc9457SAndroid Build Coastguard Worker 194*4bdc9457SAndroid Build Coastguard Worker __m128 vf_lo = _mm256_castps256_ps128(vf); 195*4bdc9457SAndroid Build Coastguard Worker if (n & (4 * sizeof(float))) { 196*4bdc9457SAndroid Build Coastguard Worker _mm_storeu_ps(y, vf_lo); 197*4bdc9457SAndroid Build Coastguard Worker vf_lo = _mm256_extractf128_ps(vf, 1); 198*4bdc9457SAndroid Build Coastguard Worker y += 4; 199*4bdc9457SAndroid Build Coastguard Worker } 200*4bdc9457SAndroid Build Coastguard Worker if (n & (2 * sizeof(float))) { 201*4bdc9457SAndroid Build Coastguard Worker _mm_storel_pi((__m64*) y, vf_lo); 202*4bdc9457SAndroid Build Coastguard Worker vf_lo = _mm_movehl_ps(vf_lo, vf_lo); 203*4bdc9457SAndroid Build Coastguard Worker y += 2; 204*4bdc9457SAndroid Build Coastguard Worker } 205*4bdc9457SAndroid Build Coastguard Worker if (n & (1 * sizeof(float))) { 206*4bdc9457SAndroid Build Coastguard Worker _mm_store_ss(y, vf_lo); 207*4bdc9457SAndroid Build Coastguard Worker } 208*4bdc9457SAndroid Build Coastguard Worker } 209*4bdc9457SAndroid Build Coastguard Worker} 210