| // Auto-generated file. Do not edit! |
| // Template: src/f32-raddstoreexpminusmax/avx512f-p5-scalef.c.in |
| // Generator: tools/xngen |
| // |
| // Copyright 2019 Google LLC |
| // |
| // This source code is licensed under the BSD-style license found in the |
| // LICENSE file in the root directory of this source tree. |
| |
| #include <assert.h> |
| |
| #include <immintrin.h> |
| |
| #include <xnnpack/intrinsics-polyfill.h> |
| #include <xnnpack/raddstoreexpminusmax.h> |
| |
| |
| void xnn_f32_raddstoreexpminusmax_ukernel__avx512f_p5_scalef_x128_acc2( |
| size_t elements, |
| const float* input, |
| float* output, |
| float* sum, |
| float max) |
| { |
| assert(elements % sizeof(float) == 0); |
| |
| const __m512 vlog2e = _mm512_set1_ps(0x1.715476p+0f); |
| const __m512 vminus_ln2_hi = _mm512_set1_ps(-0x1.62E43p-1f); |
| const __m512 vminus_ln2_lo = _mm512_set1_ps(0x1.05C61p-29f); |
| |
| const __m512 vc0 = _mm512_set1_ps(1.0f); |
| const __m512 vc1 = _mm512_set1_ps(0x1.FFFFF6p-1f); |
| const __m512 vc2 = _mm512_set1_ps(0x1.FFFDC6p-2f); |
| const __m512 vc3 = _mm512_set1_ps(0x1.555A80p-3f); |
| const __m512 vc4 = _mm512_set1_ps(0x1.573A1Ap-5f); |
| const __m512 vc5 = _mm512_set1_ps(0x1.0F9F9Cp-7f); |
| |
| const __m512 vi_max = _mm512_set1_ps(max); |
| |
| __m512 vacc0 = _mm512_setzero_ps(); |
| __m512 vacc1 = _mm512_setzero_ps(); |
| for (; elements >= 128 * sizeof(float); elements -= 128 * sizeof(float)) { |
| // Load 128 (8x16) inputs at a time. |
| const __m512 vi0 = _mm512_loadu_ps(input); |
| const __m512 vi1 = _mm512_loadu_ps(input + 16); |
| const __m512 vi2 = _mm512_loadu_ps(input + 32); |
| const __m512 vi3 = _mm512_loadu_ps(input + 48); |
| const __m512 vi4 = _mm512_loadu_ps(input + 64); |
| const __m512 vi5 = _mm512_loadu_ps(input + 80); |
| const __m512 vi6 = _mm512_loadu_ps(input + 96); |
| const __m512 vi7 = _mm512_loadu_ps(input + 112); |
| input += 128; |
| |
| // Subtract maximum input x := i - i_max. |
| const __m512 vx0 = _mm512_sub_ps(vi0, vi_max); |
| const __m512 vx1 = _mm512_sub_ps(vi1, vi_max); |
| const __m512 vx2 = _mm512_sub_ps(vi2, vi_max); |
| const __m512 vx3 = _mm512_sub_ps(vi3, vi_max); |
| const __m512 vx4 = _mm512_sub_ps(vi4, vi_max); |
| const __m512 vx5 = _mm512_sub_ps(vi5, vi_max); |
| const __m512 vx6 = _mm512_sub_ps(vi6, vi_max); |
| const __m512 vx7 = _mm512_sub_ps(vi7, vi_max); |
| |
| // Compute reduced argument elements := round(x / log(2)). |
| const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0); |
| const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0); |
| const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0); |
| const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0); |
| const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0); |
| const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0); |
| const __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0); |
| const __m512 vn7 = _mm512_roundscale_ps(_mm512_mul_ps(vx7, vlog2e), 0); |
| |
| // Compute reduced argument t := x - elements * log(2). |
| // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy. |
| __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0); |
| __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1); |
| __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2); |
| __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3); |
| __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4); |
| __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5); |
| __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6); |
| __m512 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_hi, vx7); |
| |
| vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0); |
| vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1); |
| vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2); |
| vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3); |
| vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4); |
| vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5); |
| vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6); |
| vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_lo, vt7); |
| |
| // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2]. |
| __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4); |
| __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4); |
| __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4); |
| __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4); |
| __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4); |
| __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4); |
| __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4); |
| __m512 vp7 = _mm512_fmadd_ps(vc5, vt7, vc4); |
| |
| vp0 = _mm512_fmadd_ps(vp0, vt0, vc3); |
| vp1 = _mm512_fmadd_ps(vp1, vt1, vc3); |
| vp2 = _mm512_fmadd_ps(vp2, vt2, vc3); |
| vp3 = _mm512_fmadd_ps(vp3, vt3, vc3); |
| vp4 = _mm512_fmadd_ps(vp4, vt4, vc3); |
| vp5 = _mm512_fmadd_ps(vp5, vt5, vc3); |
| vp6 = _mm512_fmadd_ps(vp6, vt6, vc3); |
| vp7 = _mm512_fmadd_ps(vp7, vt7, vc3); |
| |
| vp0 = _mm512_fmadd_ps(vp0, vt0, vc2); |
| vp1 = _mm512_fmadd_ps(vp1, vt1, vc2); |
| vp2 = _mm512_fmadd_ps(vp2, vt2, vc2); |
| vp3 = _mm512_fmadd_ps(vp3, vt3, vc2); |
| vp4 = _mm512_fmadd_ps(vp4, vt4, vc2); |
| vp5 = _mm512_fmadd_ps(vp5, vt5, vc2); |
| vp6 = _mm512_fmadd_ps(vp6, vt6, vc2); |
| vp7 = _mm512_fmadd_ps(vp7, vt7, vc2); |
| |
| vp0 = _mm512_fmadd_ps(vp0, vt0, vc1); |
| vp1 = _mm512_fmadd_ps(vp1, vt1, vc1); |
| vp2 = _mm512_fmadd_ps(vp2, vt2, vc1); |
| vp3 = _mm512_fmadd_ps(vp3, vt3, vc1); |
| vp4 = _mm512_fmadd_ps(vp4, vt4, vc1); |
| vp5 = _mm512_fmadd_ps(vp5, vt5, vc1); |
| vp6 = _mm512_fmadd_ps(vp6, vt6, vc1); |
| vp7 = _mm512_fmadd_ps(vp7, vt7, vc1); |
| |
| vp0 = _mm512_fmadd_ps(vp0, vt0, vc0); |
| vp1 = _mm512_fmadd_ps(vp1, vt1, vc0); |
| vp2 = _mm512_fmadd_ps(vp2, vt2, vc0); |
| vp3 = _mm512_fmadd_ps(vp3, vt3, vc0); |
| vp4 = _mm512_fmadd_ps(vp4, vt4, vc0); |
| vp5 = _mm512_fmadd_ps(vp5, vt5, vc0); |
| vp6 = _mm512_fmadd_ps(vp6, vt6, vc0); |
| vp7 = _mm512_fmadd_ps(vp7, vt7, vc0); |
| |
| // Reconstruct the final f value: |
| // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))) |
| // = 2**elements * p |
| const __m512 vf0 = _mm512_scalef_ps(vp0, vn0); |
| const __m512 vf1 = _mm512_scalef_ps(vp1, vn1); |
| const __m512 vf2 = _mm512_scalef_ps(vp2, vn2); |
| const __m512 vf3 = _mm512_scalef_ps(vp3, vn3); |
| const __m512 vf4 = _mm512_scalef_ps(vp4, vn4); |
| const __m512 vf5 = _mm512_scalef_ps(vp5, vn5); |
| const __m512 vf6 = _mm512_scalef_ps(vp6, vn6); |
| const __m512 vf7 = _mm512_scalef_ps(vp7, vn7); |
| |
| // Store 128 (8x16) outputs at a time. |
| _mm512_storeu_ps(output, vf0); |
| _mm512_storeu_ps(output + 16, vf1); |
| _mm512_storeu_ps(output + 32, vf2); |
| _mm512_storeu_ps(output + 48, vf3); |
| _mm512_storeu_ps(output + 64, vf4); |
| _mm512_storeu_ps(output + 80, vf5); |
| _mm512_storeu_ps(output + 96, vf6); |
| _mm512_storeu_ps(output + 112, vf7); |
| output += 128; |
| |
| // Accumulate computed exponents. |
| vacc0 = _mm512_add_ps(vacc0, vf0); |
| vacc1 = _mm512_add_ps(vacc1, vf1); |
| vacc0 = _mm512_add_ps(vacc0, vf2); |
| vacc1 = _mm512_add_ps(vacc1, vf3); |
| vacc0 = _mm512_add_ps(vacc0, vf4); |
| vacc1 = _mm512_add_ps(vacc1, vf5); |
| vacc0 = _mm512_add_ps(vacc0, vf6); |
| vacc1 = _mm512_add_ps(vacc1, vf7); |
| } |
| // Add up all accumulators to vacc0 |
| vacc0 = _mm512_add_ps(vacc0, vacc1); |
| |
| __m512 vacc = vacc0; |
| for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) { |
| // Load 16 inputs at a time. |
| const __m512 vi = _mm512_loadu_ps(input); |
| input += 16; |
| |
| // Subtract maximum input x := i - i_max. |
| const __m512 vx = _mm512_sub_ps(vi, vi_max); |
| |
| // Compute reduced argument elements := round(x / log(2)). |
| const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0); |
| |
| // Compute reduced argument t := x - elements * log(2). |
| // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy. |
| __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx); |
| vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt); |
| |
| // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2]. |
| __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4); |
| vp = _mm512_fmadd_ps(vp, vt, vc3); |
| vp = _mm512_fmadd_ps(vp, vt, vc2); |
| vp = _mm512_fmadd_ps(vp, vt, vc1); |
| vp = _mm512_fmadd_ps(vp, vt, vc0); |
| |
| // Reconstruct the final f value: |
| // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))) |
| // = 2**elements * p |
| const __m512 vf = _mm512_scalef_ps(vp, vn); |
| |
| // Store 16 outputs at a time. |
| _mm512_storeu_ps(output, vf); |
| output += 16; |
| |
| // Accumulate computed exponents. |
| vacc = _mm512_add_ps(vacc, vf); |
| } |
| if (elements != 0) { |
| // Prepare mask for valid 32-bit elements (depends on elements). |
| elements >>= 2 /* log2(sizeof(float)) */; |
| const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1))); |
| |
| // Load up to 15 inputs at a time. |
| const __m512 vi = _mm512_maskz_loadu_ps(vmask, input); |
| |
| // Subtract maximum input x := i - i_max. |
| const __m512 vx = _mm512_sub_ps(vi, vi_max); |
| |
| // Compute reduced argument elements := round(x / log(2)). |
| const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0); |
| |
| // Compute reduced argument t := x - elements * log(2). |
| // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy. |
| __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx); |
| vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt); |
| |
| // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2]. |
| __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4); |
| vp = _mm512_fmadd_ps(vp, vt, vc3); |
| vp = _mm512_fmadd_ps(vp, vt, vc2); |
| vp = _mm512_fmadd_ps(vp, vt, vc1); |
| vp = _mm512_fmadd_ps(vp, vt, vc0); |
| |
| // Reconstruct the final f value: |
| // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))) |
| // = 2**elements * p |
| const __m512 vf = _mm512_scalef_ps(vp, vn); |
| |
| // Store up to 15 outputs at a time. |
| _mm512_mask_storeu_ps(output, vmask, vf); |
| |
| // Accumulate computed exponents. |
| vacc = _mm512_mask_add_ps(vacc, vmask, vacc, vf); |
| } |
| *sum = _mm512_reduce_add_ps(vacc); |
| } |