src/f32-sigmoid/avx2-p5.c.in

// 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.

$assert BATCH_TILE % 8 == 0
$assert BATCH_TILE >= 8
$assert RR_STEPS in [1, 2]
$assert DIV_ALGO in ["div", "nr1fma", "nr2fma"]
$ABC = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
$SIMD_TILE = BATCH_TILE // 8
#include <assert.h>

#include <immintrin.h>

#include <xnnpack/common.h>
#include <xnnpack/vunary.h>


static const int32_t mask_table[14] = {-1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0};

void xnn_f32_sigmoid_ukernel__avx2_rr${RR_STEPS}_p5_${DIV_ALGO}_x${BATCH_TILE}(
    size_t n,
    const float* x,
    float* y,
    const void* params)
{
  assert(n % sizeof(float) == 0);

  const __m256 vsign_mask = _mm256_set1_ps(-0.0f);
  const __m256 vmagic_bias = _mm256_set1_ps(0x1.8000FEp23f);
  const __m256 vlog2e = _mm256_set1_ps(0x1.715476p0f);
  $if RR_STEPS == 1:
    const __m256 vminus_ln2 = _mm256_set1_ps(-0x1.62E43p-1f);
  $else:
    const __m256 vminus_ln2_hi = _mm256_set1_ps(-0x1.62E43p-1f);
    const __m256 vminus_ln2_lo = _mm256_set1_ps(0x1.05C61p-29f);
  const __m256 vc5 = _mm256_set1_ps(0x1.0F9F9Cp-7f);
  const __m256 vc4 = _mm256_set1_ps(0x1.573A1Ap-5f);
  const __m256 vc3 = _mm256_set1_ps(0x1.555A80p-3f);
  const __m256 vc2 = _mm256_set1_ps(0x1.FFFDC6p-2f);
  const __m256 vc1 = _mm256_set1_ps(0x1.FFFFF6p-1f);
  const __m256 vone = _mm256_set1_ps(1.0f);
  const __m256 vdenorm_cutoff = _mm256_set1_ps(-0x1.5D589Ep+6f);

  $if BATCH_TILE > 8:
    for (; n >= ${BATCH_TILE} * sizeof(float); n -= ${BATCH_TILE} * sizeof(float)) {
      const __m256 vx${ABC[0]} = _mm256_loadu_ps(x);
      $for N in range(1, SIMD_TILE):
        const __m256 vx${ABC[N]} = _mm256_loadu_ps(x + ${N * 8});
      x += ${BATCH_TILE};

      $for N in range(SIMD_TILE):
        const __m256 vz${ABC[N]} = _mm256_or_ps(vx${ABC[N]}, vsign_mask);

      $for N in range(SIMD_TILE):
        __m256 vn${ABC[N]} = _mm256_fmadd_ps(vz${ABC[N]}, vlog2e, vmagic_bias);

      $for N in range(SIMD_TILE):
        const __m256 vs${ABC[N]} = _mm256_castsi256_ps(_mm256_slli_epi32(_mm256_castps_si256(vn${ABC[N]}), 23));

      $for N in range(SIMD_TILE):
        vn${ABC[N]} = _mm256_sub_ps(vn${ABC[N]}, vmagic_bias);

      $if RR_STEPS == 1:
        $for N in range(SIMD_TILE):
          __m256 vt${ABC[N]} = _mm256_fmadd_ps(vn${ABC[N]}, vminus_ln2, vz${ABC[N]});
      $else:
        $for N in range(SIMD_TILE):
          __m256 vt${ABC[N]} = _mm256_fmadd_ps(vn${ABC[N]}, vminus_ln2_hi, vz${ABC[N]});

        $for N in range(SIMD_TILE):
          vt${ABC[N]} = _mm256_fmadd_ps(vn${ABC[N]}, vminus_ln2_lo, vt${ABC[N]});

      $for N in range(SIMD_TILE):
        __m256 vp${ABC[N]} = _mm256_fmadd_ps(vc5, vt${ABC[N]}, vc4);

      $for N in range(SIMD_TILE):
        vp${ABC[N]} = _mm256_fmadd_ps(vp${ABC[N]}, vt${ABC[N]}, vc3);

      $for N in range(SIMD_TILE):
        vp${ABC[N]} = _mm256_fmadd_ps(vp${ABC[N]}, vt${ABC[N]}, vc2);

      $for N in range(SIMD_TILE):
        vp${ABC[N]} = _mm256_fmadd_ps(vp${ABC[N]}, vt${ABC[N]}, vc1);

      $for N in range(SIMD_TILE):
        vt${ABC[N]} = _mm256_mul_ps(vt${ABC[N]}, vs${ABC[N]});

      $for N in range(SIMD_TILE):
        const __m256 ve${ABC[N]} = _mm256_fmadd_ps(vt${ABC[N]}, vp${ABC[N]}, vs${ABC[N]});

      $for N in range(SIMD_TILE):
        const __m256 vd${ABC[N]} = _mm256_add_ps(ve${ABC[N]}, vone);

      $if DIV_ALGO == "div":
        $for N in range(SIMD_TILE):
          __m256 vf${ABC[N]} = _mm256_div_ps(ve${ABC[N]}, vd${ABC[N]});
      $else:
        $for N in range(SIMD_TILE):
          __m256 vr${ABC[N]} = _mm256_rcp_ps(vd${ABC[N]});

        $for N in range(SIMD_TILE):
          vr${ABC[N]} = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr${ABC[N]}, vd${ABC[N]}, vone), vr${ABC[N]}, vr${ABC[N]});

        $if DIV_ALGO == "nr2fma":
          $for N in range(SIMD_TILE):
            vr${ABC[N]} = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr${ABC[N]}, vd${ABC[N]}, vone), vr${ABC[N]}, vr${ABC[N]});

        $for N in range(SIMD_TILE):
          __m256 vf${ABC[N]} = _mm256_mul_ps(ve${ABC[N]}, vr${ABC[N]});

      $for N in range(SIMD_TILE):
        vf${ABC[N]} = _mm256_andnot_ps(_mm256_cmp_ps(vz${ABC[N]}, vdenorm_cutoff, _CMP_LT_OS), vf${ABC[N]});

      $for N in range(SIMD_TILE):
        vf${ABC[N]} = _mm256_blendv_ps(_mm256_sub_ps(vone, vf${ABC[N]}), vf${ABC[N]}, vx${ABC[N]});

      _mm256_storeu_ps(y, vf${ABC[0]});
      $for N in range(1, SIMD_TILE):
        _mm256_storeu_ps(y + ${N * 8}, vf${ABC[N]});
      y += ${BATCH_TILE};
    }
  for (; n >= 8 * sizeof(float); n -= 8 * sizeof(float)) {
    const __m256 vx = _mm256_loadu_ps(x);
    x += 8;

    const __m256 vz = _mm256_or_ps(vx, vsign_mask);

    __m256 vn = _mm256_fmadd_ps(vz, vlog2e, vmagic_bias);
    const __m256 vs = _mm256_castsi256_ps(_mm256_slli_epi32(_mm256_castps_si256(vn), 23));
    vn = _mm256_sub_ps(vn, vmagic_bias);

    $if RR_STEPS == 1:
      __m256 vt = _mm256_fmadd_ps(vn, vminus_ln2, vz);
    $else:
      __m256 vt = _mm256_fmadd_ps(vn, vminus_ln2_hi, vz);
      vt = _mm256_fmadd_ps(vn, vminus_ln2_lo, vt);

    __m256 vp = _mm256_fmadd_ps(vc5, vt, vc4);
    vp = _mm256_fmadd_ps(vp, vt, vc3);
    vp = _mm256_fmadd_ps(vp, vt, vc2);
    vp = _mm256_fmadd_ps(vp, vt, vc1);

    vt = _mm256_mul_ps(vt, vs);
    const __m256 ve = _mm256_fmadd_ps(vt, vp, vs);

    const __m256 vd = _mm256_add_ps(ve, vone);
    $if DIV_ALGO == "div":
      __m256 vf = _mm256_div_ps(ve, vd);
    $else:
      __m256 vr = _mm256_rcp_ps(vd);
      vr = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr, vd, vone), vr, vr);
      $if DIV_ALGO == "nr2fma":
        vr = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr, vd, vone), vr, vr);
      __m256 vf = _mm256_mul_ps(ve, vr);

    vf = _mm256_andnot_ps(_mm256_cmp_ps(vz, vdenorm_cutoff, _CMP_LT_OS), vf);
    vf = _mm256_blendv_ps(_mm256_sub_ps(vone, vf), vf, vx);

    _mm256_storeu_ps(y, vf);
    y += 8;
  }
  if XNN_UNLIKELY(n != 0) {
    assert(n >= 1 * sizeof(float));
    assert(n <= 7 * sizeof(float));
    __m256i vmask = _mm256_loadu_si256((const __m256i*) ((uintptr_t) &mask_table[7] - n));

    const __m256 vx = _mm256_maskload_ps(x, vmask);

    const __m256 vz = _mm256_or_ps(vx, vsign_mask);

    __m256 vn = _mm256_fmadd_ps(vz, vlog2e, vmagic_bias);
    const __m256 vs = _mm256_castsi256_ps(_mm256_slli_epi32(_mm256_castps_si256(vn), 23));
    vn = _mm256_sub_ps(vn, vmagic_bias);

    $if RR_STEPS == 1:
      __m256 vt = _mm256_fmadd_ps(vn, vminus_ln2, vz);
    $else:
      __m256 vt = _mm256_fmadd_ps(vn, vminus_ln2_hi, vz);
      vt = _mm256_fmadd_ps(vn, vminus_ln2_lo, vt);

    __m256 vp = _mm256_fmadd_ps(vc5, vt, vc4);
    vp = _mm256_fmadd_ps(vp, vt, vc3);
    vp = _mm256_fmadd_ps(vp, vt, vc2);
    vp = _mm256_fmadd_ps(vp, vt, vc1);

    vt = _mm256_mul_ps(vt, vs);
    const __m256 ve = _mm256_fmadd_ps(vt, vp, vs);

    const __m256 vd = _mm256_add_ps(ve, vone);
    $if DIV_ALGO == "div":
      __m256 vf = _mm256_div_ps(ve, vd);
    $else:
      __m256 vr = _mm256_rcp_ps(vd);
      vr = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr, vd, vone), vr, vr);
      $if DIV_ALGO == "nr2fma":
        vr = _mm256_fmadd_ps(_mm256_fnmadd_ps(vr, vd, vone), vr, vr);
      __m256 vf = _mm256_mul_ps(ve, vr);

    vf = _mm256_andnot_ps(_mm256_cmp_ps(vz, vdenorm_cutoff, _CMP_LT_OS), vf);
    vf = _mm256_blendv_ps(_mm256_sub_ps(vone, vf), vf, vx);

    // _mm256_maskstore_ps(y, vmask, vf) could be used here, but triggers msan failures (probably an msan bug).
    __m128 vf_lo = _mm256_castps256_ps128(vf);
    if (n & (4 * sizeof(float))) {
      _mm_storeu_ps(y, vf_lo);
      vf_lo = _mm256_extractf128_ps(vf, 1);
      y += 4;
    }
    if (n & (2 * sizeof(float))) {
      _mm_storel_pi((__m64*) y, vf_lo);
      vf_lo = _mm_movehl_ps(vf_lo, vf_lo);
      y += 2;
    }
    if (n & (1 * sizeof(float))) {
      _mm_store_ss(y, vf_lo);
    }
  }
}