text: // Auto-generated file. Do not edit!
  //   Template: src/f32-raddstoreexpminusmax/sse2-rr2-p5.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 <emmintrin.h>
  
  #include <xnnpack/common.h>
  #include <xnnpack/raddstoreexpminusmax.h>
  
  
  void xnn_f32_raddstoreexpminusmax_ukernel__sse2_rr2_p5_x20_acc2(
      size_t elements,
      const float* input,
      const float* max,
      float* output,
      float* sum,
      const union xnn_f32_expminus_params params[restrict XNN_MIN_ELEMENTS(1)]) XNN_OOB_READS
  {
    assert(elements % sizeof(float) == 0);
  
    const __m128 vi_max = _mm_load1_ps(max);
    const __m128 vlog2e = _mm_load_ps(params->sse2_rr2_p5.log2e);
    const __m128 vmagic_bias = _mm_load_ps(params->sse2_rr2_p5.magic_bias);
    const __m128 vminus_ln2_hi = _mm_load_ps(params->sse2_rr2_p5.minus_ln2_hi);
    const __m128 vminus_ln2_lo = _mm_load_ps(params->sse2_rr2_p5.minus_ln2_lo);
    const __m128 vc5 = _mm_load_ps(params->sse2_rr2_p5.c5);
    const __m128 vc4 = _mm_load_ps(params->sse2_rr2_p5.c4);
    const __m128 vc3 = _mm_load_ps(params->sse2_rr2_p5.c3);
    const __m128 vc2 = _mm_load_ps(params->sse2_rr2_p5.c2);
    const __m128 vc1 = _mm_load_ps(params->sse2_rr2_p5.c1);
    const __m128 vdenorm_cutoff = _mm_load_ps(params->sse2_rr2_p5.denorm_cutoff);
  
    __m128 vacc0 = _mm_setzero_ps();
    __m128 vacc1 = _mm_setzero_ps();
    for (; elements >= 20 * sizeof(float); elements -= 20 * sizeof(float)) {
      // Load 20 (5x4) inputs at a time.
      const __m128 vi0123 = _mm_loadu_ps(input);
      const __m128 vi4567 = _mm_loadu_ps(input + 4);
      const __m128 vi89AB = _mm_loadu_ps(input + 8);
      const __m128 viCDEF = _mm_loadu_ps(input + 12);
      const __m128 viGHIJ = _mm_loadu_ps(input + 16);
      input += 20;
  
      // Subtract maximum input x := i - i_max. This implies x <= 0.
      const __m128 vx0123 = _mm_sub_ps(vi0123, vi_max);
      const __m128 vx4567 = _mm_sub_ps(vi4567, vi_max);
      const __m128 vx89AB = _mm_sub_ps(vi89AB, vi_max);
      const __m128 vxCDEF = _mm_sub_ps(viCDEF, vi_max);
      const __m128 vxGHIJ = _mm_sub_ps(viGHIJ, vi_max);
  
      // Compute reduced argument elements := round(x / log(2)).
      __m128 vn0123 = _mm_add_ps(_mm_mul_ps(vx0123, vlog2e), vmagic_bias);
      __m128 vn4567 = _mm_add_ps(_mm_mul_ps(vx4567, vlog2e), vmagic_bias);
      __m128 vn89AB = _mm_add_ps(_mm_mul_ps(vx89AB, vlog2e), vmagic_bias);
      __m128 vnCDEF = _mm_add_ps(_mm_mul_ps(vxCDEF, vlog2e), vmagic_bias);
      __m128 vnGHIJ = _mm_add_ps(_mm_mul_ps(vxGHIJ, vlog2e), vmagic_bias);
  
      // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
      // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
      const __m128 vs0123 = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vn0123), 23));
      const __m128 vs4567 = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vn4567), 23));
      const __m128 vs89AB = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vn89AB), 23));
      const __m128 vsCDEF = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vnCDEF), 23));
      const __m128 vsGHIJ = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vnGHIJ), 23));
  
      // Subtract the large number back to get final elements := round(x / log(2)).
      vn0123 = _mm_sub_ps(vn0123, vmagic_bias);
      vn4567 = _mm_sub_ps(vn4567, vmagic_bias);
      vn89AB = _mm_sub_ps(vn89AB, vmagic_bias);
      vnCDEF = _mm_sub_ps(vnCDEF, vmagic_bias);
      vnGHIJ = _mm_sub_ps(vnGHIJ, vmagic_bias);
  
      // Compute reduced argument t := x - elements * log(2).
      // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
      __m128 vt0123 = _mm_add_ps(_mm_mul_ps(vn0123, vminus_ln2_hi), vx0123);
      __m128 vt4567 = _mm_add_ps(_mm_mul_ps(vn4567, vminus_ln2_hi), vx4567);
      __m128 vt89AB = _mm_add_ps(_mm_mul_ps(vn89AB, vminus_ln2_hi), vx89AB);
      __m128 vtCDEF = _mm_add_ps(_mm_mul_ps(vnCDEF, vminus_ln2_hi), vxCDEF);
      __m128 vtGHIJ = _mm_add_ps(_mm_mul_ps(vnGHIJ, vminus_ln2_hi), vxGHIJ);
  
      vt0123 = _mm_add_ps(_mm_mul_ps(vn0123, vminus_ln2_lo), vt0123);
      vt4567 = _mm_add_ps(_mm_mul_ps(vn4567, vminus_ln2_lo), vt4567);
      vt89AB = _mm_add_ps(_mm_mul_ps(vn89AB, vminus_ln2_lo), vt89AB);
      vtCDEF = _mm_add_ps(_mm_mul_ps(vnCDEF, vminus_ln2_lo), vtCDEF);
      vtGHIJ = _mm_add_ps(_mm_mul_ps(vnGHIJ, vminus_ln2_lo), vtGHIJ);
  
      // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
      __m128 vp0123 = _mm_add_ps(_mm_mul_ps(vc5, vt0123), vc4);
      __m128 vp4567 = _mm_add_ps(_mm_mul_ps(vc5, vt4567), vc4);
      __m128 vp89AB = _mm_add_ps(_mm_mul_ps(vc5, vt89AB), vc4);
      __m128 vpCDEF = _mm_add_ps(_mm_mul_ps(vc5, vtCDEF), vc4);
      __m128 vpGHIJ = _mm_add_ps(_mm_mul_ps(vc5, vtGHIJ), vc4);
  
      vp0123 = _mm_add_ps(_mm_mul_ps(vp0123, vt0123), vc3);
      vp4567 = _mm_add_ps(_mm_mul_ps(vp4567, vt4567), vc3);
      vp89AB = _mm_add_ps(_mm_mul_ps(vp89AB, vt89AB), vc3);
      vpCDEF = _mm_add_ps(_mm_mul_ps(vpCDEF, vtCDEF), vc3);
      vpGHIJ = _mm_add_ps(_mm_mul_ps(vpGHIJ, vtGHIJ), vc3);
  
      vp0123 = _mm_add_ps(_mm_mul_ps(vp0123, vt0123), vc2);
      vp4567 = _mm_add_ps(_mm_mul_ps(vp4567, vt4567), vc2);
      vp89AB = _mm_add_ps(_mm_mul_ps(vp89AB, vt89AB), vc2);
      vpCDEF = _mm_add_ps(_mm_mul_ps(vpCDEF, vtCDEF), vc2);
      vpGHIJ = _mm_add_ps(_mm_mul_ps(vpGHIJ, vtGHIJ), vc2);
  
      vp0123 = _mm_add_ps(_mm_mul_ps(vp0123, vt0123), vc1);
      vp4567 = _mm_add_ps(_mm_mul_ps(vp4567, vt4567), vc1);
      vp89AB = _mm_add_ps(_mm_mul_ps(vp89AB, vt89AB), vc1);
      vpCDEF = _mm_add_ps(_mm_mul_ps(vpCDEF, vtCDEF), vc1);
      vpGHIJ = _mm_add_ps(_mm_mul_ps(vpGHIJ, vtGHIJ), vc1);
  
      // Reconstruct the final f value:
      //   f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
      //     = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
      //     = s + (t * s) * p
      vt0123 = _mm_mul_ps(vt0123, vs0123);
      vt4567 = _mm_mul_ps(vt4567, vs4567);
      vt89AB = _mm_mul_ps(vt89AB, vs89AB);
      vtCDEF = _mm_mul_ps(vtCDEF, vsCDEF);
      vtGHIJ = _mm_mul_ps(vtGHIJ, vsGHIJ);
  
      __m128 vf0123 = _mm_add_ps(_mm_mul_ps(vt0123, vp0123), vs0123);
      __m128 vf4567 = _mm_add_ps(_mm_mul_ps(vt4567, vp4567), vs4567);
      __m128 vf89AB = _mm_add_ps(_mm_mul_ps(vt89AB, vp89AB), vs89AB);
      __m128 vfCDEF = _mm_add_ps(_mm_mul_ps(vtCDEF, vpCDEF), vsCDEF);
      __m128 vfGHIJ = _mm_add_ps(_mm_mul_ps(vtGHIJ, vpGHIJ), vsGHIJ);
  
      // For inputs below zero cutoff, replace output with +0.0f.
      // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
      vf0123 = _mm_andnot_ps(_mm_cmplt_ps(vx0123, vdenorm_cutoff), vf0123);
      vf4567 = _mm_andnot_ps(_mm_cmplt_ps(vx4567, vdenorm_cutoff), vf4567);
      vf89AB = _mm_andnot_ps(_mm_cmplt_ps(vx89AB, vdenorm_cutoff), vf89AB);
      vfCDEF = _mm_andnot_ps(_mm_cmplt_ps(vxCDEF, vdenorm_cutoff), vfCDEF);
      vfGHIJ = _mm_andnot_ps(_mm_cmplt_ps(vxGHIJ, vdenorm_cutoff), vfGHIJ);
  
      // Store 20 (5x4) outputs at a time.
      _mm_storeu_ps(output, vf0123);
      _mm_storeu_ps(output + 4, vf4567);
      _mm_storeu_ps(output + 8, vf89AB);
      _mm_storeu_ps(output + 12, vfCDEF);
      _mm_storeu_ps(output + 16, vfGHIJ);
      output += 20;
  
      // Accumulate computed exponents.
      vacc0 = _mm_add_ps(vacc0, vf0123);
      vacc0 = _mm_add_ps(vacc0, vf4567);
      vacc0 = _mm_add_ps(vacc0, vf89AB);
      vacc0 = _mm_add_ps(vacc0, vfCDEF);
      vacc0 = _mm_add_ps(vacc0, vfGHIJ);
    }
    // Add up all accumulators to vacc0
    vacc0 = _mm_add_ps(vacc0, vacc1);
  
    __m128 vacc = vacc0;
    for (; elements >= 4 * sizeof(float); elements -= 4 * sizeof(float)) {
      // Load 4 inputs at a time.
      const __m128 vi = _mm_loadu_ps(input);
      input += 4;
  
      // Subtract maximum input x := i - i_max. This implies x <= 0.
      const __m128 vx = _mm_sub_ps(vi, vi_max);
  
      // Compute reduced argument elements := round(x / log(2)).
      __m128 vn = _mm_add_ps(_mm_mul_ps(vx, vlog2e), vmagic_bias);
  
      // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
      // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
      const __m128 vs = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vn), 23));
  
      // Subtract the large number back to get final elements := round(x / log(2)).
      vn = _mm_sub_ps(vn, vmagic_bias);
  
      // Compute reduced argument t := x - elements * log(2).
      // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
      __m128 vt = _mm_add_ps(_mm_mul_ps(vn, vminus_ln2_hi), vx);
      vt = _mm_add_ps(_mm_mul_ps(vn, vminus_ln2_lo), vt);
  
      // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
      __m128 vp = _mm_add_ps(_mm_mul_ps(vc5, vt), vc4);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc3);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc2);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc1);
  
      // Reconstruct the final f value:
      //   f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
      //     = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
      //     = s + (t * s) * p
      vt = _mm_mul_ps(vt, vs);
      __m128 vf = _mm_add_ps(_mm_mul_ps(vt, vp), vs);
  
      // For inputs below zero cutoff, replace output with +0.0f.
      // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
      vf = _mm_andnot_ps(_mm_cmplt_ps(vx, vdenorm_cutoff), vf);
  
      // Store 4 outputs at a time.
      _mm_storeu_ps(output, vf);
      output += 4;
  
      // Accumulate computed exponents.
      vacc = _mm_add_ps(vacc, vf);
    }
    if (elements != 0) {
      assert(elements >= 1 * sizeof(float));
      assert(elements <= 3 * sizeof(float));
      // Load 4 inputs at a time.
      const __m128 vi = _mm_loadu_ps(input);
  
      // Subtract maximum input x := i - i_max. This implies x <= 0.
      const __m128 vx = _mm_sub_ps(vi, vi_max);
  
      // Compute reduced argument elements := round(x / log(2)).
      __m128 vn = _mm_add_ps(_mm_mul_ps(vx, vlog2e), vmagic_bias);
  
      // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
      // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
      const __m128 vs = _mm_castsi128_ps(_mm_slli_epi32(_mm_castps_si128(vn), 23));
  
      // Subtract the large number back to get final elements := round(x / log(2)).
      vn = _mm_sub_ps(vn, vmagic_bias);
  
      // Compute reduced argument t := x - elements * log(2).
      // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
      __m128 vt = _mm_add_ps(_mm_mul_ps(vn, vminus_ln2_hi), vx);
      vt = _mm_add_ps(_mm_mul_ps(vn, vminus_ln2_lo), vt);
  
      // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
      __m128 vp = _mm_add_ps(_mm_mul_ps(vc5, vt), vc4);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc3);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc2);
      vp = _mm_add_ps(_mm_mul_ps(vp, vt), vc1);
  
      // Reconstruct the final f value:
      //   f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
      //     = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
      //     = s + (t * s) * p
      vt = _mm_mul_ps(vt, vs);
      __m128 vf = _mm_add_ps(_mm_mul_ps(vt, vp), vs);
  
      // For inputs below zero cutoff, replace output with +0.0f.
      // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
      vf = _mm_andnot_ps(_mm_cmplt_ps(vx, vdenorm_cutoff), vf);
  
      if (elements & (2 * sizeof(float))) {
        // Store 2 outputs at a time.
        _mm_storel_pi((__m64*) output, vf);
        output += 2;
  
        // Accumulate 2 computed exponents.
        vacc = _mm_add_ps(vacc, _mm_movelh_ps(vf, _mm_setzero_ps()));
  
        vf = _mm_movehl_ps(vf, vf);
      }
      if (elements & (1 * sizeof(float))) {
        // Store 1 output at a time.
        _mm_store_ss(output, vf);
  
        // Accumulate 1 computed exponent.
        vacc = _mm_add_ss(vacc, vf);
      }
    }
    // Reduce 4 elements in the SIMD register
    vacc = _mm_add_ps(vacc, _mm_movehl_ps(vacc, vacc));
    vacc = _mm_add_ss(vacc, _mm_shuffle_ps(vacc, vacc, _MM_SHUFFLE(2, 3, 0, 1)));
    _mm_store_ss(sum, vacc);
  }
  