text: // Auto-generated file. Do not edit!
  //   Template: src/f32-raddextexp/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 <math.h>
  
  #include <immintrin.h>
  
  #include <xnnpack/common.h>
  #include <xnnpack/intrinsics-polyfill.h>
  #include <xnnpack/raddextexp.h>
  
  
  void xnn_f32_raddextexp_ukernel__avx512f_p5_scalef_x128_acc2(
      size_t elements,
      const float* x,
      float* sum)
  {
    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 vminus_inf = _mm512_set1_ps(-INFINITY);
  
    __m512 vaccv0 = _mm512_setzero_ps();
    __m512 vaccv1 = _mm512_setzero_ps();
    __m512 vacce0 = vminus_inf;
    __m512 vacce1 = vminus_inf;
    for (; elements >= 128 * sizeof(float); elements -= 128 * sizeof(float)) {
      // Load 128 (8x16) inputs at a time.
      const __m512 vx0 = _mm512_loadu_ps(x);
      const __m512 vx1 = _mm512_loadu_ps(x + 16);
      const __m512 vx2 = _mm512_loadu_ps(x + 32);
      const __m512 vx3 = _mm512_loadu_ps(x + 48);
      const __m512 vx4 = _mm512_loadu_ps(x + 64);
      const __m512 vx5 = _mm512_loadu_ps(x + 80);
      const __m512 vx6 = _mm512_loadu_ps(x + 96);
      const __m512 vx7 = _mm512_loadu_ps(x + 112);
      x += 128;
  
      // 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 approximation 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);
  
      // Accumulate "extended" floating-point numbers in ("mantissa", "exponent") representation where
      //  - vnX is "exponent"
      //  - vpX is "mantissa"
      //
      // exp2(ae) * av + exp2(be) * bv =
      //   = exp2(max(ae, be)) * exp2(ae - max(ae, be)) * av + exp2(max(ae, be)) * exp2(be - max(ae, be)) * bv
      //   = exp2(max_e) * (exp2(ae - max_e) * av + exp2(be - max_e) * bv)
      //   = exp2(max_e) * (exp2(delta_ae) * av + exp2(delta_be) * bv)
      //
      // For computational efficiency we add three "extended" floating-point numbers at a time.
      __m512 vmax_e0 = _mm512_max_ps(vacce0, vn0);
      __m512 vmax_e1 = _mm512_max_ps(vacce1, vn1);
      vmax_e0 = _mm512_max_ps(vmax_e0, vn2);
      vmax_e1 = _mm512_max_ps(vmax_e1, vn3);
      vmax_e0 = _mm512_max_ps(vmax_e0, vn4);
      vmax_e1 = _mm512_max_ps(vmax_e1, vn5);
      vmax_e0 = _mm512_max_ps(vmax_e0, vn6);
      vmax_e1 = _mm512_max_ps(vmax_e1, vn7);
  
      const __m512 vdelta_acce0 = _mm512_sub_ps(vacce0, vmax_e0);
      const __m512 vdelta_acce1 = _mm512_sub_ps(vacce1, vmax_e1);
      const __m512 vdelta_e0 = _mm512_sub_ps(vn0, vmax_e0);
      const __m512 vdelta_e1 = _mm512_sub_ps(vn1, vmax_e1);
      const __m512 vdelta_e2 = _mm512_sub_ps(vn2, vmax_e0);
      const __m512 vdelta_e3 = _mm512_sub_ps(vn3, vmax_e1);
      const __m512 vdelta_e4 = _mm512_sub_ps(vn4, vmax_e0);
      const __m512 vdelta_e5 = _mm512_sub_ps(vn5, vmax_e1);
      const __m512 vdelta_e6 = _mm512_sub_ps(vn6, vmax_e0);
      const __m512 vdelta_e7 = _mm512_sub_ps(vn7, vmax_e1);
  
      // Update accumulated "mantissa" and "exponent" values
      vaccv0 = _mm512_scalef_ps(vaccv0, vdelta_acce0);
      vaccv1 = _mm512_scalef_ps(vaccv1, vdelta_acce1);
      vaccv0 = _mm512_add_ps(vaccv0, _mm512_scalef_ps(vp0, vdelta_e0));
      vaccv1 = _mm512_add_ps(vaccv1, _mm512_scalef_ps(vp1, vdelta_e1));
      vaccv0 = _mm512_add_ps(vaccv0, _mm512_scalef_ps(vp2, vdelta_e2));
      vaccv1 = _mm512_add_ps(vaccv1, _mm512_scalef_ps(vp3, vdelta_e3));
      vaccv0 = _mm512_add_ps(vaccv0, _mm512_scalef_ps(vp4, vdelta_e4));
      vaccv1 = _mm512_add_ps(vaccv1, _mm512_scalef_ps(vp5, vdelta_e5));
      vaccv0 = _mm512_add_ps(vaccv0, _mm512_scalef_ps(vp6, vdelta_e6));
      vaccv1 = _mm512_add_ps(vaccv1, _mm512_scalef_ps(vp7, vdelta_e7));
  
      vacce0 = vmax_e0;
      vacce1 = vmax_e1;
    }
  
    // Reduce partial sums of "extended" floating-point numbers into a single "extended" SIMD vector of sums.
    const __m512 vmax_acce01 = _mm512_max_ps(vacce0, vacce1);
  
    const __m512 vdelta_acce0 = _mm512_sub_ps(vacce0, vmax_acce01);
    const __m512 vdelta_acce1 = _mm512_sub_ps(vacce1, vmax_acce01);
  
    __m512 vaccv = _mm512_scalef_ps(vaccv0, vdelta_acce0);
    vaccv = _mm512_add_ps(vaccv, _mm512_scalef_ps(vaccv1, vdelta_acce1));
    __m512 vacce = vmax_acce01;
  
    for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
      // Load 16 inputs at a time.
      const __m512 vx = _mm512_loadu_ps(x);
      x += 16;
  
      // 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 approximation 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);
  
      // Accumulate "extended" floating-point numbers in ("mantissa", "exponent") representation.
      const __m512 vmax_e = _mm512_max_ps(vacce, vn);
      const __m512 vdelta_acce = _mm512_sub_ps(vacce, vmax_e);
      const __m512 vdelta_e = _mm512_sub_ps(vn, vmax_e);
      vaccv = _mm512_scalef_ps(vaccv, vdelta_acce);
      vaccv = _mm512_add_ps(vaccv, _mm512_scalef_ps(vp, vdelta_e));
  
      vacce = vmax_e;
    }
    if XNN_UNLIKELY(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 vx = _mm512_maskz_loadu_ps(vmask, x);
  
      // 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 approximation 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);
  
      // Accumulate "extended" floating-point numbers in ("mantissa", "exponent") representation.
      const __m512 vmax_e = _mm512_mask_max_ps(vacce, vmask, vacce, vn);
      const __m512 vdelta_acce = _mm512_sub_ps(vacce, vmax_e);
      const __m512 vdelta_e = _mm512_sub_ps(vn, vmax_e);
      vaccv = _mm512_mask_scalef_ps(vaccv, vmask, vaccv, vdelta_acce);
      vaccv = _mm512_mask_add_ps(vaccv, vmask, vaccv, _mm512_maskz_scalef_ps(vmask, vp, vdelta_e));
      vacce = vmax_e;
    }
  
    // Reduce partial sums of "extended" floating-point numbers into a single "extended" floating-point sum.
    const float vmax_acce = _mm512_reduce_max_ps(vacce);
    const __m512 vdelta_acce = _mm512_sub_ps(vacce, _mm512_set1_ps(vmax_acce));
  
    sum[0] = _mm512_reduce_add_ps(_mm512_scalef_ps(vaccv, vdelta_acce));
    sum[1] = vmax_acce;
  
    _mm256_zeroupper();
  }
  