Add files using upload-large-folder tool

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/vsx/vec256_common_vsx.h

@@ -0,0 +1,246 @@
+#pragma once
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec256/vsx/vsx_helpers.h>
+
+// Note: header order is important here
+#include <ATen/cpu/vec/vec256/vsx/vec256_double_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_float_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_int16_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_int32_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_int64_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_qint32_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_qint8_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_quint8_vsx.h>
+
+#include <ATen/cpu/vec/vec256/vsx/vec256_complex_float_vsx.h>
+#include <ATen/cpu/vec/vec256/vsx/vec256_complex_double_vsx.h>
+
+#include <ATen/cpu/vec/vec256/vsx/vec256_bfloat16_vsx.h>
+
+namespace at {
+namespace vec {
+
+inline namespace CPU_CAPABILITY {
+
+DEFINE_CLAMP_FUNCS(c10::quint8)
+DEFINE_CLAMP_FUNCS(c10::qint8)
+DEFINE_CLAMP_FUNCS(c10::qint32)
+DEFINE_CLAMP_FUNCS(int16_t)
+DEFINE_CLAMP_FUNCS(int32_t)
+DEFINE_CLAMP_FUNCS(int64_t)
+DEFINE_CLAMP_FUNCS(float)
+DEFINE_CLAMP_FUNCS(double)
+
+template <>
+Vectorized<double> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b,
+    const Vectorized<double>& c) {
+  return Vectorized<double>{
+      vec_madd(a.vec0(), b.vec0(), c.vec0()),
+      vec_madd(a.vec1(), b.vec1(), c.vec1())};
+}
+
+template <>
+Vectorized<int64_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int64_t>& a,
+    const Vectorized<int64_t>& b,
+    const Vectorized<int64_t>& c) {
+  return Vectorized<int64_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+template <>
+Vectorized<int32_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int32_t>& a,
+    const Vectorized<int32_t>& b,
+    const Vectorized<int32_t>& c) {
+  return Vectorized<int32_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+template <>
+Vectorized<int16_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int16_t>& a,
+    const Vectorized<int16_t>& b,
+    const Vectorized<int16_t>& c) {
+  return Vectorized<int16_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(float)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(double)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int64_t)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int32_t)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int16_t)
+
+template <>
+Vectorized<int64_t> C10_ALWAYS_INLINE
+convert_to_int_of_same_size<double>(const Vectorized<double>& src) {
+  return Vectorized<int64_t>{vec_signed(src.vec0()), vec_signed(src.vec1())};
+}
+
+template <>
+Vectorized<int32_t> C10_ALWAYS_INLINE
+convert_to_int_of_same_size<float>(
+    const Vectorized<float>& src) {
+  return Vectorized<int32_t>{vec_signed(src.vec0()), vec_signed(src.vec1())};
+}
+
+template <>
+inline void convert(const int32_t* src, float* dst, int64_t n) {
+  // int32_t and float have same size
+  int64_t i;
+  for (i = 0; i <= (n - Vectorized<float>::size()); i += Vectorized<float>::size()) {
+    const int32_t* src_a = src + i;
+    float* dst_a = dst + i;
+    vint32 input_vec0 = vec_vsx_ld(offset0, reinterpret_cast<const vint32*>(src_a));
+    vint32 input_vec1 =
+        vec_vsx_ld(offset16, reinterpret_cast<const vint32*>(src_a));
+    vfloat32 c0 = vec_float(input_vec0);
+    vfloat32 c1 = vec_float(input_vec1);
+    vec_vsx_st(c0, offset0, dst_a);
+    vec_vsx_st(c1, offset16, dst_a);
+  }
+
+  for (; i < n; i++) {
+    dst[i] = static_cast<float>(src[i]);
+  }
+}
+
+template <>
+inline void convert(const int64_t* src, double* dst, int64_t n) {
+  int64_t i;
+  for (i = 0; i <= (n - Vectorized<double>::size()); i += Vectorized<double>::size()) {
+    const int64_t* src_a = src + i;
+    double* dst_a = dst + i;
+    vint64 input_vec0 =
+        vec_vsx_ld(offset0, reinterpret_cast<const vint64*>(src_a));
+    vint64 input_vec1 =
+        vec_vsx_ld(offset16, reinterpret_cast<const vint64*>(src_a));
+    vfloat64 c0 = vec_double(input_vec0);
+    vfloat64 c1 = vec_double(input_vec1);
+    vec_vsx_st(c0, offset0, reinterpret_cast<double*>(dst_a));
+    vec_vsx_st(c1, offset16, reinterpret_cast<double*>(dst_a));
+  }
+  for (; i < n; i++) {
+    dst[i] = static_cast<double>(src[i]);
+  }
+}
+//Generic implementation to fix compiler error
+//TO-DO : Add optimized version for ppc64
+inline std::tuple<Vectorized<float>, Vectorized<float>> convert_half_float(
+    const Vectorized<Half>& a) {
+  constexpr int64_t K = Vectorized<Half>::size();
+  __at_align__ float arr[K];
+  __at_align__ Half arr2[K];
+  a.store(arr2);
+  convert(arr2, arr, K);
+  return std::make_tuple(
+       Vectorized<float>::loadu(arr),
+       Vectorized<float>::loadu(arr + Vectorized<float>::size()));
+}
+
+inline Vectorized<Half> convert_float_half(
+    const Vectorized<float>& a, const Vectorized<float>& b) {
+  constexpr int64_t K = Vectorized<Half>::size();
+  __at_align__ float arr[K];
+  __at_align__ Half arr2[K];
+  a.store(arr);
+  b.store(arr + Vectorized<float>::size());
+  convert(arr, arr2, K);
+  return Vectorized<Half>::loadu(arr2);
+};
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>> inline interleave2<double>(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  // inputs:
+  //   a      = {a0, a1, a2, a3}
+  //   b      = {b0, b1, b2, b3}
+
+  vfloat64 ab00 = vec_xxpermdi(a.vec0(), b.vec0(), 0);
+  vfloat64 ab11 = vec_xxpermdi(a.vec0(), b.vec0(), 3);
+  vfloat64 ab2_00 = vec_xxpermdi(a.vec1(), b.vec1(), 0);
+  vfloat64 ab2_11 = vec_xxpermdi(a.vec1(), b.vec1(), 3);
+  //   return {a0, b0, a1, b1}
+  //          {a2, b2, a3, b3}
+  return std::make_pair(
+      Vectorized<double>{ab00, ab11}, Vectorized<double>{ab2_00, ab2_11});
+}
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>> inline deinterleave2<double>(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1}
+  //   b = {a2, b2, a3, b3}
+  vfloat64 aa01 = vec_xxpermdi(a.vec0(), a.vec1(), 0);
+  vfloat64 aa23 = vec_xxpermdi(b.vec0(), b.vec1(), 0);
+
+  vfloat64 bb_01 = vec_xxpermdi(a.vec0(), a.vec1(), 3);
+  vfloat64 bb_23 = vec_xxpermdi(b.vec0(), b.vec1(), 3);
+
+  // swap lanes:
+  //   return {a0, a1, a2, a3}
+  //          {b0, b1, b2, b3}
+  return std::make_pair(
+      Vectorized<double>{aa01, aa23}, Vectorized<double>{bb_01, bb_23});
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>> inline interleave2<float>(
+    const Vectorized<float>& a,
+    const Vectorized<float>& b) {
+  // inputs:
+  //   a = {a0, a1, a2, a3,, a4, a5, a6, a7}
+  //   b = {b0, b1, b2, b3,, b4, b5, b6, b7}
+
+  vfloat32 ab0011 = vec_mergeh(a.vec0(), b.vec0());
+  vfloat32 ab2233 = vec_mergel(a.vec0(), b.vec0());
+
+  vfloat32 ab2_0011 = vec_mergeh(a.vec1(), b.vec1());
+  vfloat32 ab2_2233 = vec_mergel(a.vec1(), b.vec1());
+  // group cols crossing lanes:
+  //   return {a0, b0, a1, b1,, a2, b2, a3, b3}
+  //          {a4, b4, a5, b5,, a6, b6, a7, b7}
+
+  return std::make_pair(
+      Vectorized<float>{ab0011, ab2233}, Vectorized<float>{ab2_0011, ab2_2233});
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>> inline deinterleave2<float>(
+    const Vectorized<float>& a,
+    const Vectorized<float>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1,, a2, b2, a3, b3}
+  //   b = {a4, b4, a5, b5,, a6, b6, a7, b7}
+
+  // {a0,a2,b0,b2} {a1,a3,b1,b3}
+  vfloat32 a0a2b0b2 = vec_mergeh(a.vec0(), a.vec1());
+  vfloat32 a1a3b1b3 = vec_mergel(a.vec0(), a.vec1());
+
+  vfloat32 aa0123 = vec_mergeh(a0a2b0b2, a1a3b1b3);
+  vfloat32 bb0123 = vec_mergel(a0a2b0b2, a1a3b1b3);
+
+  vfloat32 a0a2b0b2_2 = vec_mergeh(b.vec0(), b.vec1());
+  vfloat32 a1a3b1b3_2 = vec_mergel(b.vec0(), b.vec1());
+
+  vfloat32 aa0123_2 = vec_mergeh(a0a2b0b2_2, a1a3b1b3_2);
+  vfloat32 bb0123_2 = vec_mergel(a0a2b0b2_2, a1a3b1b3_2);
+
+  // it could be done with vec_perm ,too
+  // swap lanes:
+  //   return {a0, a1, a2, a3,, a4, a5, a6, a7}
+  //          {b0, b1, b2, b3,, b4, b5, b6, b7}
+
+  return std::make_pair(
+      Vectorized<float>{aa0123, aa0123_2}, Vectorized<float>{bb0123, bb0123_2});
+}
+
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/vsx/vec256_complex_double_vsx.h

@@ -0,0 +1,558 @@
+#pragma once
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec256/vsx/vsx_helpers.h>
+#include <c10/util/complex.h>
+#include <c10/util/irange.h>
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+using ComplexDbl = c10::complex<double>;
+
+template <>
+class Vectorized<ComplexDbl> {
+  union {
+    struct {
+      vfloat64 _vec0;
+      vfloat64 _vec1;
+    };
+    struct {
+      vbool64 _vecb0;
+      vbool64 _vecb1;
+    };
+
+  } __attribute__((__may_alias__));
+
+ public:
+  using value_type = ComplexDbl;
+  using vec_internal_type = vfloat64;
+  using vec_internal_mask_type = vbool64;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 2;
+  }
+  Vectorized() {}
+  C10_ALWAYS_INLINE Vectorized(vfloat64 v) : _vec0{v}, _vec1{v} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 vmask) : _vecb0{vmask}, _vecb1{vmask} {}
+  C10_ALWAYS_INLINE Vectorized(vfloat64 v1, vfloat64 v2) : _vec0{v1}, _vec1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 v1, vbool64 v2) : _vecb0{v1}, _vecb1{v2} {}
+
+  Vectorized(ComplexDbl val) {
+    double real_value = val.real();
+    double imag_value = val.imag();
+    _vec0 = vfloat64{real_value, imag_value};
+    _vec1 = vfloat64{real_value, imag_value};
+  }
+  Vectorized(ComplexDbl val1, ComplexDbl val2) {
+    _vec0 = vfloat64{val1.real(), val1.imag()};
+    _vec1 = vfloat64{val2.real(), val2.imag()};
+  }
+
+  C10_ALWAYS_INLINE const vec_internal_type& vec0() const {
+    return _vec0;
+  }
+  C10_ALWAYS_INLINE const vec_internal_type& vec1() const {
+    return _vec1;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceComplexDbl(mask) == 0, Vectorized<ComplexDbl>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexDbl>& a, const Vectorized<ComplexDbl>& b) {
+    return a;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceComplexDbl(mask) == 1, Vectorized<ComplexDbl>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexDbl>& a, const Vectorized<ComplexDbl>& b) {
+    return b;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceComplexDbl(mask) == 2, Vectorized<ComplexDbl>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexDbl>& a, const Vectorized<ComplexDbl>& b) {
+    return {b._vec0, a._vec1};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceComplexDbl(mask) == 3, Vectorized<ComplexDbl>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexDbl>& a, const Vectorized<ComplexDbl>& b) {
+    return {a._vec0, b._vec1};
+  }
+
+  template <int64_t mask>
+  static Vectorized<ComplexDbl> C10_ALWAYS_INLINE
+  el_blend(const Vectorized<ComplexDbl>& a, const Vectorized<ComplexDbl>& b) {
+    const vbool64 mask_1st = VsxDblMask1(mask);
+    const vbool64 mask_2nd = VsxDblMask2(mask);
+    return {
+        (vfloat64)vec_sel(a._vec0, b._vec0, mask_1st),
+        (vfloat64)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  static Vectorized<ComplexDbl> blendv(
+      const Vectorized<ComplexDbl>& a,
+      const Vectorized<ComplexDbl>& b,
+      const Vectorized<ComplexDbl>& mask) {
+    // convert std::complex<V> index mask to V index mask: xy -> xxyy
+    auto mask_complex =
+        Vectorized<ComplexDbl>(vec_splat(mask._vec0, 0), vec_splat(mask._vec1, 0));
+    return {
+        vec_sel(a._vec0, b._vec0, mask_complex._vecb0),
+        vec_sel(a._vec1, b._vec1, mask_complex._vecb1)};
+  }
+
+  static Vectorized<ComplexDbl> C10_ALWAYS_INLINE elwise_blendv(
+      const Vectorized<ComplexDbl>& a,
+      const Vectorized<ComplexDbl>& b,
+      const Vectorized<ComplexDbl>& mask) {
+    return {
+        vec_sel(a._vec0, b._vec0, mask._vecb0),
+        vec_sel(a._vec1, b._vec1, mask._vecb1)};
+  }
+  template <typename step_t>
+  static Vectorized<ComplexDbl> arange(
+      ComplexDbl base = 0.,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<ComplexDbl>(base, base + step);
+  }
+  static Vectorized<ComplexDbl> set(
+      const Vectorized<ComplexDbl>& a,
+      const Vectorized<ComplexDbl>& b,
+      int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+    }
+    return b;
+  }
+
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    if (count == size()) {
+      return {
+          vec_vsx_ld(offset0, reinterpret_cast<const double*>(ptr)),
+          vec_vsx_ld(offset16, reinterpret_cast<const double*>(ptr))};
+    }
+
+    __at_align__ value_type tmp_values[size()] = {};
+    std::memcpy(tmp_values, ptr, std::min(count, size()) * sizeof(value_type));
+
+    return {
+        vec_vsx_ld(offset0, reinterpret_cast<const double*>(tmp_values)),
+        vec_vsx_ld(offset16, reinterpret_cast<const double*>(tmp_values))};
+  }
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      vec_vsx_st(_vec0, offset0, reinterpret_cast<double*>(ptr));
+      vec_vsx_st(_vec1, offset16, reinterpret_cast<double*>(ptr));
+    } else if (count > 0) {
+      __at_align__ value_type tmp_values[size()];
+      vec_vsx_st(_vec0, offset0, reinterpret_cast<double*>(tmp_values));
+      vec_vsx_st(_vec1, offset16, reinterpret_cast<double*>(tmp_values));
+      std::memcpy(
+          ptr, tmp_values, std::min(count, size()) * sizeof(value_type));
+    }
+  }
+
+  const ComplexDbl& operator[](int idx) const = delete;
+  ComplexDbl& operator[](int idx) = delete;
+
+  Vectorized<ComplexDbl> map(ComplexDbl (*const f)(ComplexDbl)) const {
+    __at_align__ ComplexDbl tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+
+  Vectorized<ComplexDbl> map(ComplexDbl (*const f)(const ComplexDbl&)) const {
+    __at_align__ ComplexDbl tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+
+  Vectorized<ComplexDbl> el_swapped() const {
+    vfloat64 v0 = vec_xxpermdi(_vec0, _vec0, 2);
+    vfloat64 v1 = vec_xxpermdi(_vec1, _vec1, 2);
+    return {v0, v1};
+  }
+
+  Vectorized<ComplexDbl> el_madd(
+      const Vectorized<ComplexDbl>& multiplier,
+      const Vectorized<ComplexDbl>& val) const {
+    return {
+        vec_madd(_vec0, multiplier._vec0, val._vec0),
+        vec_madd(_vec1, multiplier._vec1, val._vec1)};
+  }
+
+  Vectorized<ComplexDbl> el_mergeo() const {
+    vfloat64 v0 = vec_splat(_vec0, 1);
+    vfloat64 v1 = vec_splat(_vec1, 1);
+    return {v0, v1};
+  }
+
+  Vectorized<ComplexDbl> el_mergee() const {
+    vfloat64 v0 = vec_splat(_vec0, 0);
+    vfloat64 v1 = vec_splat(_vec1, 0);
+    return {v0, v1};
+  }
+
+  static Vectorized<ComplexDbl> el_mergee(
+      Vectorized<ComplexDbl>& first,
+      Vectorized<ComplexDbl>& second) {
+    // as mergee phased in , we can use vec_perm with mask
+    return {
+        vec_mergeh(first._vec0, second._vec0),
+        vec_mergeh(first._vec1, second._vec1)};
+  }
+
+  Vectorized<ComplexDbl> abs_2_() const {
+    auto a = (*this).elwise_mult(*this);
+    auto permuted = a.el_swapped();
+    a = a + permuted;
+    return a;
+  }
+
+  Vectorized<ComplexDbl> abs_() const {
+    auto ret = abs_2_();
+    return ret.elwise_sqrt();
+  }
+
+  Vectorized<ComplexDbl> abs() const {
+    return abs_() & vd_real_mask;
+  }
+
+  Vectorized<ComplexDbl> angle_() const {
+    // angle = atan2(b/a)
+    // auto b_a = _mm256_permute_pd(values, 0x05);     // b        a
+    // return Sleef_atan2d4_u10(values, b_a);          // 90-angle angle
+    Vectorized<ComplexDbl> ret;
+    ret._vec0[0] = std::atan2(_vec0[1], _vec0[0]);
+    ret._vec1[0] = std::atan2(_vec1[1], _vec1[0]);
+    return ret;
+  }
+
+  Vectorized<ComplexDbl> angle() const {
+    return angle_() & vd_real_mask;
+  }
+
+  Vectorized<ComplexDbl> real_() const {
+    return *this & vd_real_mask;
+  }
+  Vectorized<ComplexDbl> real() const {
+    return *this & vd_real_mask;
+  }
+  Vectorized<ComplexDbl> imag_() const {
+    return *this & vd_imag_mask;
+  }
+  Vectorized<ComplexDbl> imag() const {
+    return imag_().el_swapped();
+  }
+
+  Vectorized<ComplexDbl> conj_() const {
+    return *this ^ vd_isign_mask;
+  }
+  Vectorized<ComplexDbl> conj() const {
+    return *this ^ vd_isign_mask;
+  }
+
+  Vectorized<ComplexDbl> log() const {
+    // Most trigonomic ops use the log() op to improve complex number
+    // performance.
+    return map(std::log);
+  }
+
+  Vectorized<ComplexDbl> log2() const {
+    // log2eB_inv
+    auto ret = log();
+    return ret.elwise_mult(vd_log2e_inv);
+  }
+  Vectorized<ComplexDbl> log10() const {
+    auto ret = log();
+    return ret.elwise_mult(vd_log10e_inv);
+  }
+
+  Vectorized<ComplexDbl> log1p() const {
+    return map(std::log1p);
+  }
+
+  Vectorized<ComplexDbl> asin() const {
+    // asin(x)
+    // = -i*ln(iz + sqrt(1 -z^2))
+    // = -i*ln((ai - b) + sqrt(1 - (a + bi)*(a + bi)))
+    // = -i*ln((-b + ai) + sqrt(1 - (a**2 - b**2) - 2*abi))
+    auto conj = conj_();
+    auto b_a = conj.el_swapped();
+    auto ab = conj.elwise_mult(b_a);
+    auto im = ab + ab;
+    auto val_2 = (*this).elwise_mult(*this);
+    auto val_2_swapped = val_2.el_swapped();
+    auto re = horizontal_sub(val_2, val_2_swapped);
+    re = Vectorized<ComplexDbl>(vd_one) - re;
+    auto root = el_blend<0x0A>(re, im).sqrt();
+    auto ln = (b_a + root).log();
+    return ln.el_swapped().conj();
+  }
+
+  Vectorized<ComplexDbl> acos() const {
+    // acos(x) = pi/2 - asin(x)
+    return Vectorized(vd_pi_2) - asin();
+  }
+
+  Vectorized<ComplexDbl> atan() const {
+    // atan(x) = i/2 * ln((i + z)/(i - z))
+    auto ione = Vectorized(vd_imag_one);
+    auto sum = ione + *this;
+    auto sub = ione - *this;
+    auto ln = (sum / sub).log(); // ln((i + z)/(i - z))
+    return ln * vd_imag_half; // i/2*ln()
+  }
+  Vectorized<ComplexDbl> atanh() const {
+    return map(std::atanh);
+  }
+
+  Vectorized<ComplexDbl> sin() const {
+    return map(std::sin);
+  }
+  Vectorized<ComplexDbl> sinh() const {
+    return map(std::sinh);
+  }
+  Vectorized<ComplexDbl> cos() const {
+    return map(std::cos);
+  }
+  Vectorized<ComplexDbl> cosh() const {
+    return map(std::cosh);
+  }
+
+  Vectorized<ComplexDbl> tan() const {
+    return map(std::tan);
+  }
+  Vectorized<ComplexDbl> tanh() const {
+    return map(std::tanh);
+  }
+  Vectorized<ComplexDbl> ceil() const {
+    return {vec_ceil(_vec0), vec_ceil(_vec1)};
+  }
+  Vectorized<ComplexDbl> floor() const {
+    return {vec_floor(_vec0), vec_floor(_vec1)};
+  }
+  Vectorized<ComplexDbl> neg() const {
+    auto z = Vectorized<ComplexDbl>(vd_zero);
+    return z - *this;
+  }
+  Vectorized<ComplexDbl> round() const {
+    return {vec_rint(_vec0), vec_rint(_vec1)};
+  }
+
+  Vectorized<ComplexDbl> trunc() const {
+    return {vec_trunc(_vec0), vec_trunc(_vec1)};
+  }
+
+  Vectorized<ComplexDbl> elwise_sqrt() const {
+    return {vec_sqrt(_vec0), vec_sqrt(_vec1)};
+  }
+
+  Vectorized<ComplexDbl> sqrt() const {
+    return map(std::sqrt);
+  }
+
+  Vectorized<ComplexDbl> reciprocal() const {
+    // re + im*i = (a + bi)  / (c + di)
+    // re = (ac + bd)/abs_2() = c/abs_2()
+    // im = (bc - ad)/abs_2() = d/abs_2()
+    auto c_d = *this ^ vd_isign_mask; // c       -d
+    auto abs = abs_2_();
+    return c_d.elwise_div(abs);
+  }
+
+  Vectorized<ComplexDbl> rsqrt() const {
+    return sqrt().reciprocal();
+  }
+
+  static Vectorized<ComplexDbl> horizontal_add(
+      Vectorized<ComplexDbl>& first,
+      Vectorized<ComplexDbl>& second) {
+    auto first_perm = first.el_swapped(); // 2perm
+    auto second_perm = second.el_swapped(); // 2perm
+    // summ
+    auto first_ret = first + first_perm; // 2add
+    auto second_ret = second + second_perm; // 2 add
+    // now lets choose evens
+    return el_mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  static Vectorized<ComplexDbl> horizontal_sub(
+      Vectorized<ComplexDbl>& first,
+      Vectorized<ComplexDbl>& second) {
+    // we will simulate it differently with 6 instructions total
+    // lets permute second so that we can add it getting horizontal sums
+    auto first_perm = first.el_swapped(); // 2perm
+    auto second_perm = second.el_swapped(); // 2perm
+    // summ
+    auto first_ret = first - first_perm; // 2sub
+    auto second_ret = second - second_perm; // 2 sub
+    // now lets choose evens
+    return el_mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  Vectorized<ComplexDbl> inline operator*(const Vectorized<ComplexDbl>& b) const {
+    //(a + bi)  * (c + di) = (ac - bd) + (ad + bc)i
+#if 1
+    // this is more vsx friendly than simulating horizontal from x86
+    auto vi = b.el_mergeo();
+    auto vr = b.el_mergee();
+    vi = vi ^ vd_rsign_mask;
+    auto ret = elwise_mult(vr);
+    auto vx_swapped = el_swapped();
+    ret = vx_swapped.el_madd(vi, ret);
+#else
+    auto ac_bd = elwise_mult(b);
+    auto d_c = b.el_swapped();
+    d_c = d_c ^ vd_isign_mask;
+    auto ad_bc = elwise_mult(d_c);
+    auto ret = horizontal_sub(ac_bd, ad_bc);
+#endif
+    return ret;
+  }
+
+  Vectorized<ComplexDbl> inline operator/(const Vectorized<ComplexDbl>& b) const {
+    // re + im*i = (a + bi)  / (c + di)
+    // re = (ac + bd)/abs_2()
+    // im = (bc - ad)/abs_2()
+#if 1
+    auto vi = b.el_mergeo();
+    auto vr = b.el_mergee();
+    auto abs_b = b.abs_2_();
+    vi = vi ^ vd_isign_mask;
+    auto ret = elwise_mult(vr);
+    auto vx_swapped = el_swapped();
+    ret = vx_swapped.el_madd(vi, ret);
+    ret = ret.elwise_div(abs_b);
+#else
+    // Vectorized x86 simulation
+    auto ac_bd = elwise_mult(b);
+    auto d_c = b.el_swapped();
+    d_c = d_c ^ vd_rsign_mask;
+    auto ad_bc = elwise_mult(d_c);
+    auto abs_b = b.abs_2_();
+    auto re_im = horizontal_add(ac_bd, ad_bc);
+    auto ret = re_im.elwise_div(abs_b);
+#endif
+    return ret;
+  }
+
+  Vectorized<ComplexDbl> exp() const {
+    return map(std::exp);
+  }
+  Vectorized<ComplexDbl> exp2() const {
+    return map(exp2_impl);
+  }
+  Vectorized<ComplexDbl> expm1() const {
+    return map(std::expm1);
+  }
+
+  Vectorized<ComplexDbl> pow(const Vectorized<ComplexDbl>& exp) const {
+    __at_align__ ComplexDbl x_tmp[size()];
+    __at_align__ ComplexDbl y_tmp[size()];
+    store(x_tmp);
+    exp.store(y_tmp);
+    for (const auto i : c10::irange(size())) {
+      x_tmp[i] = std::pow(x_tmp[i], y_tmp[i]);
+    }
+    return loadu(x_tmp);
+  }
+
+  Vectorized<ComplexDbl> sgn() const {
+    return map(at::native::sgn_impl);
+  }
+
+  Vectorized<ComplexDbl> operator<(const Vectorized<ComplexDbl>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<ComplexDbl> operator<=(const Vectorized<ComplexDbl>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<ComplexDbl> operator>(const Vectorized<ComplexDbl>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<ComplexDbl> operator>=(const Vectorized<ComplexDbl>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<ComplexDbl> eq(const Vectorized<ComplexDbl>& other) const {
+    auto eq = (*this == other);  // compares real and imag individually
+    // If both real numbers and imag numbers are equal, then the complex numbers are equal
+    return (eq.real() & eq.imag()) & vd_one;
+  }
+  Vectorized<ComplexDbl> ne(const Vectorized<ComplexDbl>& other) const {
+    auto ne = (*this != other);  // compares real and imag individually
+    // If either real numbers or imag numbers are not equal, then the complex numbers are not equal
+    return (ne.real() | ne.imag()) & vd_one;
+  }
+
+  DEFINE_MEMBER_OP(operator==, ComplexDbl, vec_cmpeq)
+  DEFINE_MEMBER_OP(operator!=, ComplexDbl, vec_cmpne)
+
+  DEFINE_MEMBER_OP(operator+, ComplexDbl, vec_add)
+  DEFINE_MEMBER_OP(operator-, ComplexDbl, vec_sub)
+  DEFINE_MEMBER_OP(operator&, ComplexDbl, vec_and)
+  DEFINE_MEMBER_OP(operator|, ComplexDbl, vec_or)
+  DEFINE_MEMBER_OP(operator^, ComplexDbl, vec_xor)
+  // elelemtwise helpers
+  DEFINE_MEMBER_OP(elwise_mult, ComplexDbl, vec_mul)
+  DEFINE_MEMBER_OP(elwise_div, ComplexDbl, vec_div)
+  DEFINE_MEMBER_OP(elwise_gt, ComplexDbl, vec_cmpgt)
+  DEFINE_MEMBER_OP(elwise_ge, ComplexDbl, vec_cmpge)
+  DEFINE_MEMBER_OP(elwise_lt, ComplexDbl, vec_cmplt)
+  DEFINE_MEMBER_OP(elwise_le, ComplexDbl, vec_cmple)
+};
+
+template <>
+Vectorized<ComplexDbl> inline maximum(
+    const Vectorized<ComplexDbl>& a,
+    const Vectorized<ComplexDbl>& b) {
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  // auto mask = _mm256_cmp_ps(abs_a, abs_b, _CMP_LT_OQ);
+  // auto max = _mm256_blendv_ps(a, b, mask);
+  auto mask = abs_a.elwise_lt(abs_b);
+  auto max = Vectorized<ComplexDbl>::elwise_blendv(a, b, mask);
+
+  return max;
+  // Exploit the fact that all-ones is a NaN.
+  // auto isnan = _mm256_cmp_ps(abs_a, abs_b, _CMP_UNORD_Q);
+  // return _mm256_or_ps(max, isnan);
+}
+
+template <>
+Vectorized<ComplexDbl> inline minimum(
+    const Vectorized<ComplexDbl>& a,
+    const Vectorized<ComplexDbl>& b) {
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  // auto mask = _mm256_cmp_ps(abs_a, abs_b, _CMP_GT_OQ);
+  // auto min = _mm256_blendv_ps(a, b, mask);
+  auto mask = abs_a.elwise_gt(abs_b);
+  auto min = Vectorized<ComplexDbl>::elwise_blendv(a, b, mask);
+  return min;
+  // Exploit the fact that all-ones is a NaN.
+  // auto isnan = _mm256_cmp_ps(abs_a, abs_b, _CMP_UNORD_Q);
+  // return _mm256_or_ps(min, isnan);
+}
+
+
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/vsx/vec256_complex_float_vsx.h

@@ -0,0 +1,628 @@
+
+#pragma once
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec256/vsx/vsx_helpers.h>
+#include <c10/util/complex.h>
+#include <c10/util/irange.h>
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+using ComplexFlt = c10::complex<float>;
+
+template <>
+class Vectorized<ComplexFlt> {
+ private:
+  union {
+    struct {
+      vfloat32 _vec0;
+      vfloat32 _vec1;
+    };
+    struct {
+      vbool32 _vecb0;
+      vbool32 _vecb1;
+    };
+
+  } __attribute__((__may_alias__));
+
+ public:
+  using value_type = ComplexFlt;
+  using vec_internal_type = vfloat32;
+  using vec_internal_mask_type = vbool32;
+  using size_type = int;
+
+  static constexpr size_type size() {
+    return 4;
+  }
+  Vectorized() {}
+
+  C10_ALWAYS_INLINE Vectorized(vfloat32 v) : _vec0{v}, _vec1{v} {}
+  C10_ALWAYS_INLINE Vectorized(vbool32 vmask) : _vecb0{vmask}, _vecb1{vmask} {}
+  C10_ALWAYS_INLINE Vectorized(vfloat32 v1, vfloat32 v2) : _vec0{v1}, _vec1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(vbool32 v1, vbool32 v2) : _vecb0{v1}, _vecb1{v2} {}
+
+  Vectorized(ComplexFlt val) {
+    float real_value = val.real();
+    float imag_value = val.imag();
+    _vec0 = vfloat32{real_value, imag_value, real_value, imag_value};
+    _vec1 = vfloat32{real_value, imag_value, real_value, imag_value};
+  }
+
+  Vectorized(ComplexFlt val1, ComplexFlt val2, ComplexFlt val3, ComplexFlt val4) {
+    _vec0 = vfloat32{val1.real(), val1.imag(), val2.real(), val2.imag()};
+    _vec1 = vfloat32{val3.real(), val3.imag(), val4.real(), val4.imag()};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 0, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    return a;
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 1, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    return b;
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 2, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    return {b._vec0, a._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 3, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    return {a._vec0, b._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 4, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_1st = VsxComplexMask1(mask);
+    return {(vfloat32)vec_sel(a._vec0, b._vec0, mask_1st), a._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 5, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_1st = VsxComplexMask1(mask);
+    return {(vfloat32)vec_sel(a._vec0, b._vec0, mask_1st), b._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 6, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_2nd = VsxComplexMask2(mask);
+    // generated masks
+    return {a._vec0, (vfloat32)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 7, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_2nd = VsxComplexMask2(mask);
+    // generated masks
+    return {b._vec0, (vfloat32)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<blendChoiceComplex(mask) == 8, Vectorized<ComplexFlt>>
+      C10_ALWAYS_INLINE
+      blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_1st = VsxComplexMask1(mask);
+    const vbool32 mask_2nd = VsxComplexMask2(mask);
+    return {
+        (vfloat32)vec_sel(a._vec0, b._vec0, mask_1st),
+        (vfloat32)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <int64_t mask>
+  static Vectorized<ComplexFlt> C10_ALWAYS_INLINE
+  el_blend(const Vectorized<ComplexFlt>& a, const Vectorized<ComplexFlt>& b) {
+    const vbool32 mask_1st = VsxMask1(mask);
+    const vbool32 mask_2nd = VsxMask2(mask);
+    return {
+        (vfloat32)vec_sel(a._vec0, b._vec0, mask_1st),
+        (vfloat32)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  static Vectorized<ComplexFlt> blendv(
+      const Vectorized<ComplexFlt>& a,
+      const Vectorized<ComplexFlt>& b,
+      const Vectorized<ComplexFlt>& mask) {
+    // convert std::complex<V> index mask to V index mask: xy -> xxyy
+    auto mask_complex = Vectorized<ComplexFlt>(
+        vec_mergeh(mask._vec0, mask._vec0), vec_mergeh(mask._vec1, mask._vec1));
+    return {
+        vec_sel(a._vec0, b._vec0, reinterpret_cast<vbool32>(mask_complex._vec0)),
+        vec_sel(a._vec1, b._vec1, reinterpret_cast<vbool32>(mask_complex._vec1)),
+    };
+  }
+
+  static Vectorized<ComplexFlt> elwise_blendv(
+      const Vectorized<ComplexFlt>& a,
+      const Vectorized<ComplexFlt>& b,
+      const Vectorized<ComplexFlt>& mask) {
+    return {
+        vec_sel(a._vec0, b._vec0, reinterpret_cast<vbool32>(mask._vec0)),
+        vec_sel(a._vec1, b._vec1, reinterpret_cast<vbool32>(mask._vec1)),
+    };
+  }
+
+  template <typename step_t>
+  static Vectorized<ComplexFlt> arange(
+      ComplexFlt base = 0.,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<ComplexFlt>(
+        base,
+        base + step,
+        base + ComplexFlt(2) * step,
+        base + ComplexFlt(3) * step);
+  }
+  static Vectorized<ComplexFlt> set(
+      const Vectorized<ComplexFlt>& a,
+      const Vectorized<ComplexFlt>& b,
+      int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+    }
+    return b;
+  }
+
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    if (count == size()) {
+      return {
+          vec_vsx_ld(offset0, reinterpret_cast<const float*>(ptr)),
+          vec_vsx_ld(offset16, reinterpret_cast<const float*>(ptr))};
+    }
+
+    __at_align__ value_type tmp_values[size()] = {};
+    std::memcpy(tmp_values, ptr, std::min(count, size()) * sizeof(value_type));
+
+    return {
+        vec_vsx_ld(offset0, reinterpret_cast<const float*>(tmp_values)),
+        vec_vsx_ld(offset16, reinterpret_cast<const float*>(tmp_values))};
+  }
+
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      vec_vsx_st(_vec0, offset0, reinterpret_cast<float*>(ptr));
+      vec_vsx_st(_vec1, offset16, reinterpret_cast<float*>(ptr));
+    } else if (count > 0) {
+      __at_align__ value_type tmp_values[size()];
+      vec_vsx_st(_vec0, offset0, reinterpret_cast<float*>(tmp_values));
+      vec_vsx_st(_vec1, offset16, reinterpret_cast<float*>(tmp_values));
+      std::memcpy(
+          ptr, tmp_values, std::min(count, size()) * sizeof(value_type));
+    }
+  }
+
+  const ComplexFlt& operator[](int idx) const = delete;
+  ComplexFlt& operator[](int idx) = delete;
+
+  Vectorized<ComplexFlt> map(ComplexFlt (*const f)(ComplexFlt)) const {
+    __at_align__ ComplexFlt tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+
+  Vectorized<ComplexFlt> map(ComplexFlt (*const f)(const ComplexFlt&)) const {
+    __at_align__ ComplexFlt tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+
+  static Vectorized<ComplexFlt> horizontal_add_permD8(
+      Vectorized<ComplexFlt>& first,
+      Vectorized<ComplexFlt>& second) {
+    // we will simulate it differently with 6 instructions total
+    // lets permute second so that we can add it getting horizontal sums
+    auto first_perm = first.el_swapped(); // 2perm
+    auto second_perm = second.el_swapped(); // 2perm
+    // sum
+    auto first_ret = first + first_perm; // 2add
+    auto second_ret = second + second_perm; // 2 add
+    // now lets choose evens
+    return el_mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  static Vectorized<ComplexFlt> horizontal_sub_permD8(
+      Vectorized<ComplexFlt>& first,
+      Vectorized<ComplexFlt>& second) {
+    // we will simulate it differently with 6 instructions total
+    // lets permute second so that we can add it getting horizontal sums
+    auto first_perm = first.el_swapped(); // 2perm
+    auto second_perm = second.el_swapped(); // 2perm
+    // sum
+    auto first_ret = first - first_perm; // 2sub
+    auto second_ret = second - second_perm; // 2 sub
+    // now lets choose evens
+    return el_mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  Vectorized<ComplexFlt> abs_2_() const {
+    auto a = (*this).elwise_mult(*this);
+    auto permuted = a.el_swapped();
+    a = a + permuted;
+    return a.el_mergee();
+  }
+
+  Vectorized<ComplexFlt> abs_() const {
+    auto ret = abs_2_();
+    return ret.elwise_sqrt();
+  }
+
+  Vectorized<ComplexFlt> abs() const {
+    return abs_() & real_mask;
+  }
+
+  Vectorized<ComplexFlt> real_() const {
+    return *this & real_mask;
+  }
+  Vectorized<ComplexFlt> real() const {
+    return *this & real_mask;
+  }
+  Vectorized<ComplexFlt> imag_() const {
+    return *this & imag_mask;
+  }
+  Vectorized<ComplexFlt> imag() const {
+    // we can use swap_mask or sldwi
+    auto ret = imag_();
+    return {
+        vec_sldw(ret._vec0, ret._vec0, 3), vec_sldw(ret._vec1, ret._vec1, 3)};
+  }
+
+  Vectorized<ComplexFlt> conj_() const {
+    return *this ^ isign_mask;
+  }
+  Vectorized<ComplexFlt> conj() const {
+    return *this ^ isign_mask;
+  }
+
+  Vectorized<ComplexFlt> log() const {
+    // Most trigonomic ops use the log() op to improve complex number
+    // performance.
+    return map(std::log);
+  }
+
+  Vectorized<ComplexFlt> log2() const {
+    // log2eB_inv
+    auto ret = log();
+    return ret.elwise_mult(log2e_inv);
+  }
+  Vectorized<ComplexFlt> log10() const {
+    auto ret = log();
+    return ret.elwise_mult(log10e_inv);
+  }
+
+  Vectorized<ComplexFlt> log1p() const {
+    return map(std::log1p);
+  }
+
+  Vectorized<ComplexFlt> el_swapped() const {
+    vfloat32 v0 = vec_perm(_vec0, _vec0, swap_mask);
+    vfloat32 v1 = vec_perm(_vec1, _vec1, swap_mask);
+    return {v0, v1};
+  }
+
+  Vectorized<ComplexFlt> el_mergee() const {
+    // as mergee phased in , we can use vec_perm with mask
+    return {vec_mergee(_vecb0, _vecb0), vec_mergee(_vecb1, _vecb1)};
+  }
+
+  Vectorized<ComplexFlt> el_mergeo() const {
+    // as mergeo phased in , we can use vec_perm with mask
+    return {vec_mergeo(_vecb0, _vecb0), vec_mergeo(_vecb1, _vecb1)};
+  }
+
+  Vectorized<ComplexFlt> el_madd(
+      const Vectorized<ComplexFlt>& multiplier,
+      const Vectorized<ComplexFlt>& val) const {
+    return {
+        vec_madd(_vec0, multiplier._vec0, val._vec0),
+        vec_madd(_vec1, multiplier._vec1, val._vec1)};
+  }
+
+  static Vectorized<ComplexFlt> el_mergee(
+      Vectorized<ComplexFlt>& first,
+      Vectorized<ComplexFlt>& second) {
+    // as mergee phased in , we can use vec_perm with mask
+    return {
+        vec_mergee(first._vecb0, second._vecb0),
+        vec_mergee(first._vecb1, second._vecb1)};
+  }
+
+  Vectorized<ComplexFlt> angle_() const {
+    // angle = atan2(b/a)
+    // auto b_a = _mm256_permute_ps(values, 0xB1); // b        a
+    // return Sleef_atan2f8_u10(values, b_a); // 90-angle angle
+    Vectorized<ComplexFlt> ret;
+    for (int i = 0; i < 4; i += 2) {
+      ret._vec0[i] = std::atan2(_vec0[i + 1], _vec0[i]);
+      ret._vec1[i] = std::atan2(_vec1[i + 1], _vec1[i]);
+    }
+    return ret;
+  }
+
+  Vectorized<ComplexFlt> angle() const {
+    return angle_() & real_mask;
+  }
+
+  Vectorized<ComplexFlt> sin() const {
+    return map(std::sin);
+  }
+  Vectorized<ComplexFlt> sinh() const {
+    return map(std::sinh);
+  }
+  Vectorized<ComplexFlt> cos() const {
+    return map(std::cos);
+  }
+  Vectorized<ComplexFlt> cosh() const {
+    return map(std::cosh);
+  }
+  Vectorized<ComplexFlt> ceil() const {
+    return {vec_ceil(_vec0), vec_ceil(_vec1)};
+  }
+  Vectorized<ComplexFlt> floor() const {
+    return {vec_floor(_vec0), vec_floor(_vec1)};
+  }
+  Vectorized<ComplexFlt> neg() const {
+    auto z = Vectorized<ComplexFlt>(zero);
+    return z - *this;
+  }
+  Vectorized<ComplexFlt> round() const {
+    return {vec_round(_vec0), vec_round(_vec1)};
+  }
+  Vectorized<ComplexFlt> tan() const {
+    return map(std::tan);
+  }
+  Vectorized<ComplexFlt> tanh() const {
+    return map(std::tanh);
+  }
+  Vectorized<ComplexFlt> trunc() const {
+    return {vec_trunc(_vec0), vec_trunc(_vec1)};
+  }
+
+  Vectorized<ComplexFlt> elwise_sqrt() const {
+    return {vec_sqrt(_vec0), vec_sqrt(_vec1)};
+  }
+
+  Vectorized<ComplexFlt> sqrt() const {
+    return map(std::sqrt);
+  }
+
+  Vectorized<ComplexFlt> reciprocal() const {
+    // re + im*i = (a + bi)  / (c + di)
+    // re = (ac + bd)/abs_2() = c/abs_2()
+    // im = (bc - ad)/abs_2() = d/abs_2()
+    auto c_d = *this ^ isign_mask; // c       -d
+    auto abs = abs_2_();
+    return c_d.elwise_div(abs);
+  }
+
+  Vectorized<ComplexFlt> rsqrt() const {
+    return sqrt().reciprocal();
+  }
+
+  Vectorized<ComplexFlt> pow(const Vectorized<ComplexFlt>& exp) const {
+    __at_align__ ComplexFlt x_tmp[size()];
+    __at_align__ ComplexFlt y_tmp[size()];
+    store(x_tmp);
+    exp.store(y_tmp);
+    for (const auto i : c10::irange(size())) {
+      x_tmp[i] = std::pow(x_tmp[i], y_tmp[i]);
+    }
+    return loadu(x_tmp);
+  }
+
+  Vectorized<ComplexFlt> atan() const {
+    // atan(x) = i/2 * ln((i + z)/(i - z))
+    auto ione = Vectorized(imag_one);
+    auto sum = ione + *this;
+    auto sub = ione - *this;
+    auto ln = (sum / sub).log(); // ln((i + z)/(i - z))
+    return ln * imag_half; // i/2*ln()
+  }
+  Vectorized<ComplexFlt> atanh() const {
+    return map(std::atanh);
+  }
+
+  Vectorized<ComplexFlt> acos() const {
+    // acos(x) = pi/2 - asin(x)
+    return Vectorized(pi_2) - asin();
+  }
+
+  Vectorized<ComplexFlt> inline operator*(const Vectorized<ComplexFlt>& b) const {
+    //(a + bi)  * (c + di) = (ac - bd) + (ad + bc)i
+
+#if 1
+    // this is more vsx friendly than simulating horizontal from x86
+
+    auto vi = b.el_mergeo();
+    auto vr = b.el_mergee();
+    vi = vi ^ rsign_mask;
+    auto ret = elwise_mult(vr);
+    auto vx_swapped = el_swapped();
+    ret = vx_swapped.el_madd(vi, ret);
+    return ret;
+
+#else
+
+    auto ac_bd = elwise_mult(b);
+    auto d_c = b.el_swapped();
+    d_c = d_c ^ isign_mask;
+    auto ad_bc = elwise_mult(d_c);
+    auto ret = horizontal_sub_permD8(ac_bd, ad_bc);
+    return ret;
+#endif
+  }
+
+  Vectorized<ComplexFlt> inline operator/(const Vectorized<ComplexFlt>& b) const {
+    // re + im*i = (a + bi)  / (c + di)
+    // re = (ac + bd)/abs_2()
+    // im = (bc - ad)/abs_2()
+#if 1
+    auto vi = b.el_mergeo();
+    auto vr = b.el_mergee();
+    auto abs_b = b.abs_2_();
+    vi = vi ^ isign_mask;
+    auto ret = elwise_mult(vr);
+    auto vx_swapped = el_swapped();
+    ret = vx_swapped.el_madd(vi, ret);
+    ret = ret.elwise_div(abs_b);
+#else
+    // Vectorized x86 simulation
+    auto ac_bd = elwise_mult(b);
+    auto d_c = b.el_swapped();
+    d_c = d_c ^ rsign_mask;
+    auto ad_bc = elwise_mult(d_c);
+    auto abs_b = b.abs_2_();
+    auto re_im = horizontal_add_permD8(ac_bd, ad_bc);
+    auto ret = re_im.elwise_div(abs_b);
+#endif
+    return ret;
+  }
+
+  Vectorized<ComplexFlt> asin() const {
+    // asin(x)
+    // = -i*ln(iz + sqrt(1 -z^2))
+    // = -i*ln((ai - b) + sqrt(1 - (a + bi)*(a + bi)))
+    // = -i*ln((-b + ai) + sqrt(1 - (a**2 - b**2) - 2*abi))
+
+#if 1
+    auto conj = conj_();
+    auto b_a = conj.el_swapped();
+    auto ab = conj.elwise_mult(b_a);
+    auto im = ab + ab;
+    auto val_2 = (*this).elwise_mult(*this);
+    auto val_2_swapped = val_2.el_swapped();
+    auto re = horizontal_sub_permD8(val_2, val_2_swapped);
+    re = Vectorized<ComplexFlt>(one) - re;
+    auto root = el_blend<0xAA>(re, im).sqrt();
+    auto ln = (b_a + root).log();
+    return ln.el_swapped().conj();
+#else
+    return map(std::asin);
+#endif
+  }
+
+  Vectorized<ComplexFlt> exp() const {
+    return map(std::exp);
+  }
+  Vectorized<ComplexFlt> exp2() const {
+    return map(exp2_impl);
+  }
+  Vectorized<ComplexFlt> expm1() const {
+    return map(std::expm1);
+  }
+
+  Vectorized<ComplexFlt> eq(const Vectorized<ComplexFlt>& other) const {
+    auto eq = (*this == other);  // compares real and imag individually
+    // If both real numbers and imag numbers are equal, then the complex numbers are equal
+    return (eq.real() & eq.imag()) & one;
+  }
+  Vectorized<ComplexFlt> ne(const Vectorized<ComplexFlt>& other) const {
+    auto ne = (*this != other);  // compares real and imag individually
+    // If either real numbers or imag numbers are not equal, then the complex numbers are not equal
+    return (ne.real() | ne.imag()) & one;
+  }
+
+  Vectorized<ComplexFlt> sgn() const {
+    return map(at::native::sgn_impl);
+  }
+
+  Vectorized<ComplexFlt> operator<(const Vectorized<ComplexFlt>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<ComplexFlt> operator<=(const Vectorized<ComplexFlt>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<ComplexFlt> operator>(const Vectorized<ComplexFlt>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<ComplexFlt> operator>=(const Vectorized<ComplexFlt>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  DEFINE_MEMBER_OP(operator==, ComplexFlt, vec_cmpeq)
+  DEFINE_MEMBER_OP(operator!=, ComplexFlt, vec_cmpne)
+
+  DEFINE_MEMBER_OP(operator+, ComplexFlt, vec_add)
+  DEFINE_MEMBER_OP(operator-, ComplexFlt, vec_sub)
+  DEFINE_MEMBER_OP(operator&, ComplexFlt, vec_and)
+  DEFINE_MEMBER_OP(operator|, ComplexFlt, vec_or)
+  DEFINE_MEMBER_OP(operator^, ComplexFlt, vec_xor)
+  // elementwise helpers
+  DEFINE_MEMBER_OP(elwise_mult, ComplexFlt, vec_mul)
+  DEFINE_MEMBER_OP(elwise_div, ComplexFlt, vec_div)
+  DEFINE_MEMBER_OP(elwise_gt, ComplexFlt, vec_cmpgt)
+  DEFINE_MEMBER_OP(elwise_ge, ComplexFlt, vec_cmpge)
+  DEFINE_MEMBER_OP(elwise_lt, ComplexFlt, vec_cmplt)
+  DEFINE_MEMBER_OP(elwise_le, ComplexFlt, vec_cmple)
+};
+
+template <>
+Vectorized<ComplexFlt> inline maximum(
+    const Vectorized<ComplexFlt>& a,
+    const Vectorized<ComplexFlt>& b) {
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  // auto mask = _mm256_cmp_ps(abs_a, abs_b, _CMP_LT_OQ);
+  // auto max = _mm256_blendv_ps(a, b, mask);
+  auto mask = abs_a.elwise_lt(abs_b);
+  auto max = Vectorized<ComplexFlt>::elwise_blendv(a, b, mask);
+
+  return max;
+  // Exploit the fact that all-ones is a NaN.
+  // auto isnan = _mm256_cmp_ps(abs_a, abs_b, _CMP_UNORD_Q);
+  // return _mm256_or_ps(max, isnan);
+}
+
+template <>
+Vectorized<ComplexFlt> inline minimum(
+    const Vectorized<ComplexFlt>& a,
+    const Vectorized<ComplexFlt>& b) {
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  // auto mask = _mm256_cmp_ps(abs_a, abs_b, _CMP_GT_OQ);
+  // auto min = _mm256_blendv_ps(a, b, mask);
+  auto mask = abs_a.elwise_gt(abs_b);
+  auto min = Vectorized<ComplexFlt>::elwise_blendv(a, b, mask);
+  return min;
+  // Exploit the fact that all-ones is a NaN.
+  // auto isnan = _mm256_cmp_ps(abs_a, abs_b, _CMP_UNORD_Q);
+  // return _mm256_or_ps(min, isnan);
+}
+
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/vsx/vec256_double_vsx.h

@@ -0,0 +1,422 @@
+#pragma once
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec256/vsx/vsx_helpers.h>
+#include <c10/util/irange.h>
+
+#include <sleef.h>
+
+namespace at {
+namespace vec {
+
+inline namespace CPU_CAPABILITY {
+
+
+template <>
+class Vectorized<double> {
+ private:
+  union {
+    struct {
+      vfloat64 _vec0;
+      vfloat64 _vec1;
+    };
+    struct {
+      vbool64 _vecb0;
+      vbool64 _vecb1;
+    };
+
+  } __attribute__((__may_alias__));
+
+ public:
+  using value_type = double;
+  using vec_internal_type = vfloat64;
+  using vec_internal_mask_type = vbool64;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 4;
+  }
+  Vectorized() {}
+  C10_ALWAYS_INLINE Vectorized(vfloat64 v) : _vec0{v}, _vec1{v} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 vmask) : _vecb0{vmask}, _vecb1{vmask} {}
+  C10_ALWAYS_INLINE Vectorized(vfloat64 v1, vfloat64 v2) : _vec0{v1}, _vec1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 v1, vbool64 v2) : _vecb0{v1}, _vecb1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(double scalar)
+      : _vec0{vec_splats(scalar)}, _vec1{vec_splats(scalar)} {}
+  C10_ALWAYS_INLINE Vectorized(
+      double scalar1,
+      double scalar2,
+      double scalar3,
+      double scalar4)
+      : _vec0{vfloat64{scalar1, scalar2}}, _vec1{vfloat64{scalar3, scalar4}} {}
+  C10_ALWAYS_INLINE const vec_internal_type& vec0() const {
+    return _vec0;
+  }
+  C10_ALWAYS_INLINE const vec_internal_type& vec1() const {
+    return _vec1;
+  }
+
+  int zero_mask() const {
+    auto cmp = (*this == vd_zero);
+    return (cmp._vecb0[0] & 1) | (cmp._vecb0[1] & 2) | (cmp._vecb1[0] & 4) |
+        (cmp._vecb1[1] & 8);
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 0, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      return a;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 1, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      return b;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 2, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      return { b._vec0, a._vec1 };
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 3, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      return { a._vec0, b._vec1 };
+  }
+
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 4, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      const vbool64 mask_1st = VsxDblMask1(mask);
+      return { (vfloat64)vec_sel(a._vec0, b._vec0, mask_1st), a._vec1 };
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 5, Vectorized<double>> C10_ALWAYS_INLINE
+      blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      const vbool64 mask_1st = VsxDblMask1(mask);
+      return { (vfloat64)vec_sel(a._vec0, b._vec0, mask_1st), b._vec1 };
+  }
+
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 6,
+      Vectorized<double>>
+      C10_ALWAYS_INLINE blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      const vbool64 mask_2nd = VsxDblMask2(mask);
+      // generated masks
+      return { a._vec0,
+          (vfloat64)vec_sel(a._vec1, b._vec1, mask_2nd) };
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 7,
+      Vectorized<double>>
+      C10_ALWAYS_INLINE blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      const vbool64 mask_2nd = VsxDblMask2(mask);
+      // generated masks
+      return { b._vec0,
+          (vfloat64)vec_sel(a._vec1, b._vec1, mask_2nd) };
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoiceDbl(mask) == 8, Vectorized<double>>
+      C10_ALWAYS_INLINE blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+      const vbool64 mask_1st = VsxDblMask1(mask);
+      const vbool64 mask_2nd = VsxDblMask2(mask);
+      return {
+          (vfloat64)vec_sel(a._vec0, b._vec0, mask_1st),
+          (vfloat64)vec_sel(a._vec1, b._vec1, mask_2nd) };
+  }
+
+
+  static Vectorized<double> C10_ALWAYS_INLINE blendv(
+      const Vectorized<double>& a,
+      const Vectorized<double>& b,
+      const Vectorized<double>& mask) {
+    // the mask used here returned by comparision of vec256
+
+    return {
+        vec_sel(a._vec0, b._vec0, mask._vecb0),
+        vec_sel(a._vec1, b._vec1, mask._vecb1)};
+  }
+  template <typename step_t>
+  static Vectorized<double> arange(double base = 0., step_t step = static_cast<step_t>(1)) {
+    return Vectorized<double>(base, base + step, base + 2 * step, base + 3 * step);
+  }
+
+  static Vectorized<double> C10_ALWAYS_INLINE
+  set(const Vectorized<double>& a, const Vectorized<double>& b, size_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+    }
+
+    return b;
+  }
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    if (count == size()) {
+      return {
+          vec_vsx_ld(offset0, reinterpret_cast<const value_type*>(ptr)),
+          vec_vsx_ld(offset16, reinterpret_cast<const value_type*>(ptr))};
+    }
+
+    __at_align__ value_type tmp_values[size()] = {};
+    std::memcpy(tmp_values, ptr, std::min(count, size()) * sizeof(value_type));
+
+    return {vec_vsx_ld(offset0, tmp_values), vec_vsx_ld(offset16, tmp_values)};
+  }
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      vec_vsx_st(_vec0, offset0, reinterpret_cast<value_type*>(ptr));
+      vec_vsx_st(_vec1, offset16, reinterpret_cast<value_type*>(ptr));
+    } else if (count > 0) {
+      __at_align__ value_type tmp_values[size()];
+      vec_vsx_st(_vec0, offset0, tmp_values);
+      vec_vsx_st(_vec1, offset16, tmp_values);
+      std::memcpy(
+          ptr, tmp_values, std::min(count, size()) * sizeof(value_type));
+    }
+  }
+  const double& operator[](int idx) const = delete;
+  double& operator[](int idx) = delete;
+  Vectorized<double> map(double (*const f)(double)) const {
+    Vectorized<double> ret;
+    for (const auto i : c10::irange(size()/2)) {
+        ret._vec0[i] = f(_vec0[i]);
+    }
+    for (const auto i : c10::irange(size()/2)) {
+        ret._vec1[i] = f(_vec1[i]);
+    }
+    return ret;
+  }
+
+  Vectorized<double> mapbi(double (*const f)(double, double), const Vectorized<double>& other)
+      const {
+    Vectorized<double> ret;
+    for (const auto i : c10::irange(size()/2)) {
+        ret._vec0[i] = f(_vec0[i], other._vec0[i]);
+    }
+    for (const auto i : c10::irange(size()/2)) {
+        ret._vec1[i] = f(_vec1[i], other._vec1[i]);
+    }
+    return ret;
+  }
+  Vectorized<double> C10_ALWAYS_INLINE abs() const {
+    return {vec_abs(_vec0), vec_abs(_vec1)};
+  }
+
+  Vectorized<double> C10_ALWAYS_INLINE acos() const {
+     return {Sleef_acosd2_u10(_vec0), Sleef_acosd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE asin() const {
+     return {Sleef_asind2_u10(_vec0), Sleef_asind2_u10(_vec1)};
+  }
+  Vectorized<double> atan() const {
+     return {Sleef_atand2_u10(_vec0), Sleef_atand2_u10(_vec1)};
+  }
+  Vectorized<double> atanh() const {
+     return {Sleef_atanhd2_u10(_vec0), Sleef_atanhd2_u10(_vec1)};
+  }
+  Vectorized<double> atan2(const Vectorized<double>& b) const {
+     return {Sleef_atan2d2_u10(_vec0, b._vec0), Sleef_atan2d2_u10(_vec1, b._vec1)};
+  }
+  Vectorized<double> copysign(const Vectorized<double> &sign) const {
+    return {Sleef_copysignd2(_vec0, sign._vec0), Sleef_copysignd2(_vec1, sign._vec1)};
+  }
+  Vectorized<double> erf() const {
+     return {Sleef_erfd2_u10(_vec0), Sleef_erfd2_u10(_vec1)};
+  }
+  Vectorized<double> erfc() const {
+     return {Sleef_erfcd2_u15(_vec0), Sleef_erfcd2_u15(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE exp() const {
+     return {Sleef_expd2_u10(_vec0), Sleef_expd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE exp2() const {
+    return {Sleef_exp2d2_u10(_vec0), Sleef_exp2d2_u10(_vec1)};
+  }
+  Vectorized<double> expm1() const {
+     return {Sleef_expm1d2_u10(_vec0), Sleef_expm1d2_u10(_vec1)};
+  }
+
+  Vectorized<double> lgamma() const __ubsan_ignore_undefined__ {
+     return {Sleef_lgammad2_u10(_vec0), Sleef_lgammad2_u10(_vec1)};
+  }
+
+  Vectorized<double> erfinv() const {
+    return map(calc_erfinv);
+  }
+
+  Vectorized<double> angle() const {
+    auto tmp = blendv(
+      Vectorized<double>(0), Vectorized<double>(c10::pi<double>), *this < Vectorized<double>(0));
+    return blendv(tmp, *this, isnan());
+  }
+  Vectorized<double> real() const {
+    return *this;
+  }
+  Vectorized<double> imag() const {
+    return Vectorized<double>{0};
+  }
+  Vectorized<double> conj() const {
+    return *this;
+  }
+
+  Vectorized<double> C10_ALWAYS_INLINE log() const {
+     return {Sleef_logd2_u10(_vec0), Sleef_logd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE log10() const {
+     return {Sleef_log10d2_u10(_vec0), Sleef_log10d2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE log1p() const {
+     return {Sleef_log1pd2_u10(_vec0), Sleef_log1pd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE log2() const {
+     return {Sleef_log2d2_u10(_vec0), Sleef_log2d2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE ceil() const {
+    return {vec_ceil(_vec0), vec_ceil(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE cos() const {
+     return {Sleef_cosd2_u10(_vec0), Sleef_cosd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE cosh() const {
+     return {Sleef_coshd2_u10(_vec0), Sleef_coshd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE floor() const {
+    return {vec_floor(_vec0), vec_floor(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE neg() const {
+    return {vec_neg(_vec0), vec_neg(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE round() const {
+    return {vec_rint(_vec0), vec_rint(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE sin() const {
+     return {Sleef_sind2_u10(_vec0), Sleef_sind2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE sinh() const {
+     return {Sleef_sinhd2_u10(_vec0), Sleef_sinhd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE tan() const {
+     return {Sleef_tand2_u10(_vec0), Sleef_tand2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE tanh() const {
+     return {Sleef_tanhd2_u10(_vec0), Sleef_tanhd2_u10(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE trunc() const {
+    return {vec_trunc(_vec0), vec_trunc(_vec1)};
+  }
+
+  Vectorized<double> C10_ALWAYS_INLINE frac() const {
+    return *this - trunc();
+  }
+
+  Vectorized<double> C10_ALWAYS_INLINE sqrt() const {
+    return {vec_sqrt(_vec0), vec_sqrt(_vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE reciprocal() const {
+    return {
+        vec_div(vd_one, _vec0), // vec_re(_vec0) is estimated one.
+        vec_div(vd_one, _vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE rsqrt() const {
+    return sqrt().reciprocal();
+  }
+
+  Vectorized<double> C10_ALWAYS_INLINE pow(const Vectorized<double>& b) const {
+     return {Sleef_powd2_u10(_vec0, b._vec0), Sleef_powd2_u10(_vec1, b._vec1)};
+  }
+  Vectorized<double> C10_ALWAYS_INLINE fmod(const Vectorized<double>& b) const {
+     return {Sleef_fmodd2(_vec0, b._vec0),Sleef_fmodd2(_vec1, b._vec1)};
+  }
+
+  Vectorized<double> hypot(const Vectorized<double>& b) const {
+     return {Sleef_hypotd2_u05(_vec0, b._vec0), Sleef_hypotd2_u05(_vec1, b._vec1)};
+  }
+
+  Vectorized<double> nextafter(const Vectorized<double>& b) const {
+     return {Sleef_nextafterd2(_vec0, b._vec0), Sleef_nextafterd2(_vec1, b._vec1)};
+  }
+
+  Vectorized<double> igamma(const Vectorized<double>& x) const {
+    return mapbi(calc_igamma, x);
+  }
+
+  Vectorized<double> igammac(const Vectorized<double>& x) const {
+    return mapbi(calc_igammac, x);
+  }
+
+
+  Vectorized<double> i0() const {
+    return map(calc_i0);
+  }
+
+  Vectorized<double> i0e() const {
+    return map(calc_i0e);
+  }
+
+  Vectorized<double> digamma() const {
+    return map(calc_digamma);
+  }
+
+  Vectorized<double> _nor() const {
+    return {vec_nor(_vec0, _vec0), vec_nor(_vec1, _vec1)};
+  }
+
+  Vectorized<double> isnan() const {
+    auto x = *this;
+    auto ret = (x == x);
+    return ret._nor();
+  }
+
+  DEFINE_MEMBER_OP(operator==, double, vec_cmpeq)
+  DEFINE_MEMBER_OP(operator!=, double, vec_cmpne)
+  DEFINE_MEMBER_OP(operator<, double, vec_cmplt)
+  DEFINE_MEMBER_OP(operator<=, double, vec_cmple)
+  DEFINE_MEMBER_OP(operator>, double, vec_cmpgt)
+  DEFINE_MEMBER_OP(operator>=, double, vec_cmpge)
+  DEFINE_MEMBER_OP_AND_ONE(eq, double, vec_cmpeq)
+  DEFINE_MEMBER_OP_AND_ONE(ne, double, vec_cmpne)
+  DEFINE_MEMBER_OP_AND_ONE(lt, double, vec_cmplt)
+  DEFINE_MEMBER_OP_AND_ONE(le, double, vec_cmple)
+  DEFINE_MEMBER_OP_AND_ONE(gt, double, vec_cmpgt)
+  DEFINE_MEMBER_OP_AND_ONE(ge, double, vec_cmpge)
+  DEFINE_MEMBER_OP(operator+, double, vec_add)
+  DEFINE_MEMBER_OP(operator-, double, vec_sub)
+  DEFINE_MEMBER_OP(operator*, double, vec_mul)
+  DEFINE_MEMBER_OP(operator/, double, vec_div)
+  DEFINE_MEMBER_OP(maximum, double, vec_max_nan2)
+  DEFINE_MEMBER_OP(minimum, double, vec_min_nan2)
+  DEFINE_MEMBER_OP(operator&, double, vec_and)
+  DEFINE_MEMBER_OP(operator|, double, vec_or)
+  DEFINE_MEMBER_OP(operator^, double, vec_xor)
+  DEFINE_MEMBER_TERNARY_OP(madd, double, vec_madd)
+};
+template <>
+Vectorized<double> inline maximum(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  return a.maximum(b);
+}
+
+template <>
+Vectorized<double> inline minimum(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  return a.minimum(b);
+}
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/vsx/vec256_int64_vsx.h

@@ -0,0 +1,251 @@
+#pragma once
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec256/vsx/vsx_helpers.h>
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+template <>
+class Vectorized<int64_t> {
+ private:
+  union {
+    struct {
+      vint64 _vec0;
+      vint64 _vec1;
+    };
+    struct {
+      vbool64 _vecb0;
+      vbool64 _vecb1;
+    };
+
+  } __attribute__((__may_alias__));
+
+ public:
+  using value_type = int64_t;
+  using vec_internal_type = vint64;
+  using vec_internal_mask_type = vbool64;
+  using size_type = int;
+  using ElementType = signed long long;
+  static constexpr size_type size() {
+    return 4;
+  }
+  Vectorized() {}
+  C10_ALWAYS_INLINE Vectorized(vint64 v) : _vec0{v}, _vec1{v} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 vmask) : _vecb0{vmask}, _vecb1{vmask} {}
+  C10_ALWAYS_INLINE Vectorized(vint64 v1, vint64 v2) : _vec0{v1}, _vec1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(vbool64 v1, vbool64 v2) : _vecb0{v1}, _vecb1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(int64_t scalar)
+      : _vec0{vec_splats(scalar)}, _vec1{vec_splats(scalar)} {}
+  C10_ALWAYS_INLINE Vectorized(
+      int64_t scalar1,
+      int64_t scalar2,
+      int64_t scalar3,
+      int64_t scalar4)
+      : _vec0{vint64{scalar1, scalar2}}, _vec1{vint64{scalar3, scalar4}} {}
+
+  C10_ALWAYS_INLINE const vec_internal_type& vec0() const {
+    return _vec0;
+  }
+  C10_ALWAYS_INLINE const vec_internal_type& vec1() const {
+    return _vec1;
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<mask == 0, Vectorized<int64_t>> C10_ALWAYS_INLINE
+  blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    return a;
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<mask == 3, Vectorized<int64_t>> C10_ALWAYS_INLINE
+  blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    return {b._vec0, a._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<(mask & 15) == 15, Vectorized<int64_t>> C10_ALWAYS_INLINE
+  blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    return b;
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<(mask > 0 && mask < 3), Vectorized<int64_t>> C10_ALWAYS_INLINE
+  blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    constexpr uint64_t g0 = (mask & 1) * 0xffffffffffffffff;
+    constexpr uint64_t g1 = ((mask & 2) >> 1) * 0xffffffffffffffff;
+    const vbool64 mask_1st = (vbool64){g0, g1};
+    return {(vint64)vec_sel(a._vec0, b._vec0, (vbool64)mask_1st), a._vec1};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<(mask > 3) && (mask & 3) == 0, Vectorized<int64_t>>
+      C10_ALWAYS_INLINE blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    constexpr uint64_t g0_2 = ((mask & 4) >> 2) * 0xffffffffffffffff;
+    constexpr uint64_t g1_2 = ((mask & 8) >> 3) * 0xffffffffffffffff;
+
+    const vbool64 mask_2nd = (vbool64){g0_2, g1_2};
+    return {a._vec0, (vint64)vec_sel(a._vec1, b._vec1, (vbool64)mask_2nd)};
+  }
+
+  template <uint64_t mask>
+  static std::enable_if_t<
+      (mask > 3) && (mask & 3) != 0 && (mask & 15) != 15,
+      Vectorized<int64_t>>
+      C10_ALWAYS_INLINE blend(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+    constexpr uint64_t g0 = (mask & 1) * 0xffffffffffffffff;
+    constexpr uint64_t g1 = ((mask & 2) >> 1) * 0xffffffffffffffff;
+    constexpr uint64_t g0_2 = ((mask & 4) >> 2) * 0xffffffffffffffff;
+    constexpr uint64_t g1_2 = ((mask & 8) >> 3) * 0xffffffffffffffff;
+
+    const vbool64 mask_1st = (vbool64){g0, g1};
+    const vbool64 mask_2nd = (vbool64){g0_2, g1_2};
+    return {
+        (vint64)vec_sel(a._vec0, b._vec0, (vbool64)mask_1st),
+        (vint64)vec_sel(a._vec1, b._vec1, (vbool64)mask_2nd)};
+  }
+
+  static Vectorized<int64_t> C10_ALWAYS_INLINE blendv(
+      const Vectorized<int64_t>& a,
+      const Vectorized<int64_t>& b,
+      const Vectorized<int64_t>& mask) {
+    // the mask used here returned by comparision of vec256
+
+    return {
+        vec_sel(a._vec0, b._vec0, mask._vecb0),
+        vec_sel(a._vec1, b._vec1, mask._vecb1)};
+  }
+  template <typename step_t>
+  static Vectorized<int64_t> arange(int64_t base = 0., step_t step = static_cast<step_t>(1)) {
+    return Vectorized<int64_t>(base, base + step, base + 2 * step, base + 3 * step);
+  }
+
+  static Vectorized<int64_t> C10_ALWAYS_INLINE
+  set(const Vectorized<int64_t>& a,
+      const Vectorized<int64_t>& b,
+      size_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+    }
+
+    return b;
+  }
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    if (count == size()) {
+      static_assert(sizeof(double) == sizeof(value_type));
+      const double* dptr = reinterpret_cast<const double*>(ptr);
+      return {// treat it as double load
+              (vint64)vec_vsx_ld(offset0, dptr),
+              (vint64)vec_vsx_ld(offset16, dptr)};
+    }
+
+    __at_align__ double tmp_values[size()] = {};
+    std::memcpy(tmp_values, ptr, std::min(count, size()) * sizeof(value_type));
+
+    return {
+        (vint64)vec_vsx_ld(offset0, tmp_values),
+        (vint64)vec_vsx_ld(offset16, tmp_values)};
+  }
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      double* dptr = reinterpret_cast<double*>(ptr);
+      vec_vsx_st((vfloat64)_vec0, offset0, dptr);
+      vec_vsx_st((vfloat64)_vec1, offset16, dptr);
+    } else if (count > 0) {
+      __at_align__ double tmp_values[size()];
+      vec_vsx_st((vfloat64)_vec0, offset0, tmp_values);
+      vec_vsx_st((vfloat64)_vec1, offset16, tmp_values);
+      std::memcpy(
+          ptr, tmp_values, std::min(count, size()) * sizeof(value_type));
+    }
+  }
+  const int64_t& operator[](int idx) const = delete;
+  int64_t& operator[](int idx) = delete;
+
+  Vectorized<int64_t> angle() const {
+    return blendv(
+      Vectorized<int64_t>(0), Vectorized<int64_t>(c10::pi<int64_t>), *this < Vectorized<int64_t>(0));
+  }
+  Vectorized<int64_t> real() const {
+    return *this;
+  }
+  Vectorized<int64_t> imag() const {
+    return Vectorized<int64_t>{0};
+  }
+  Vectorized<int64_t> conj() const {
+    return *this;
+  }
+
+  Vectorized<int64_t> C10_ALWAYS_INLINE abs() const {
+    return {vec_abs(_vec0), vec_abs(_vec1)};
+  }
+
+  Vectorized<int64_t> C10_ALWAYS_INLINE neg() const {
+    return {vec_neg(_vec0), vec_neg(_vec1)};
+  }
+
+  DEFINE_MEMBER_UNARY_OP(operator~, int64_t, vec_not)
+  DEFINE_MEMBER_OP(operator==, int64_t, vec_cmpeq)
+  DEFINE_MEMBER_OP(operator!=, int64_t, vec_cmpne)
+  DEFINE_MEMBER_OP(operator<, int64_t, vec_cmplt)
+  DEFINE_MEMBER_OP(operator<=, int64_t, vec_cmple)
+  DEFINE_MEMBER_OP(operator>, int64_t, vec_cmpgt)
+  DEFINE_MEMBER_OP(operator>=, int64_t, vec_cmpge)
+  DEFINE_MEMBER_OP_AND_ONE(eq, int64_t, vec_cmpeq)
+  DEFINE_MEMBER_OP_AND_ONE(ne, int64_t, vec_cmpne)
+  DEFINE_MEMBER_OP_AND_ONE(lt, int64_t, vec_cmplt)
+  DEFINE_MEMBER_OP_AND_ONE(le, int64_t, vec_cmple)
+  DEFINE_MEMBER_OP_AND_ONE(gt, int64_t, vec_cmpgt)
+  DEFINE_MEMBER_OP_AND_ONE(ge, int64_t, vec_cmpge)
+  DEFINE_MEMBER_OP(operator+, int64_t, vec_add)
+  DEFINE_MEMBER_OP(operator-, int64_t, vec_sub)
+  DEFINE_MEMBER_OP(operator*, int64_t, vec_mul)
+  DEFINE_MEMBER_OP(operator/, int64_t, vec_div)
+  DEFINE_MEMBER_OP(maximum, int64_t, vec_max)
+  DEFINE_MEMBER_OP(minimum, int64_t, vec_min)
+  DEFINE_MEMBER_OP(operator&, int64_t, vec_and)
+  DEFINE_MEMBER_OP(operator|, int64_t, vec_or)
+  DEFINE_MEMBER_OP(operator^, int64_t, vec_xor)
+};
+
+template <>
+Vectorized<int64_t> inline operator<<(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+                vuint64 shift_vec0 = reinterpret_cast<vuint64>(b.vec0());
+                vuint64 shift_vec1 = reinterpret_cast<vuint64>(b.vec1()) ;
+          return Vectorized<int64_t>{vec_sl(a.vec0(), shift_vec0), vec_sl(a.vec1(), shift_vec1)};
+}
+
+template <>
+Vectorized<int64_t> inline operator>>(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+                vuint64 shift_vec0 = reinterpret_cast<vuint64>(b.vec0());
+                vuint64 shift_vec1 = reinterpret_cast<vuint64>(b.vec1()) ;
+          return Vectorized<int64_t>{vec_sr(a.vec0(), shift_vec0), vec_sr(a.vec1(), shift_vec1)};
+}
+
+template <>
+Vectorized<int64_t> inline maximum(
+    const Vectorized<int64_t>& a,
+    const Vectorized<int64_t>& b) {
+  return a.maximum(b);
+}
+
+template <>
+Vectorized<int64_t> inline minimum(
+    const Vectorized<int64_t>& a,
+    const Vectorized<int64_t>& b) {
+  return a.minimum(b);
+}
+
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec256/zarch/vec256_zarch.h

@@ -0,0 +1,2797 @@
+#include <cmath>
+#include <cstring>
+#include <limits>
+#include <type_traits>
+#include <utility>
+#if defined(__clang__)
+#include <sleef.h>
+#elif defined(__GNUC__) || defined(__GNUG__)
+#include <sleef.h>
+#include <vecintrin.h>
+#endif
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <c10/util/complex.h>
+
+#define SLEEF_MEMORY_WORKAROUND
+
+namespace at {
+namespace vec {
+
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+template <typename T>
+constexpr bool is_zarch_implemented() {
+  return (
+      std::is_same<T, float>::value || std::is_same<T, double>::value ||
+      std::is_same<T, int8_t>::value || std::is_same<T, uint8_t>::value ||
+      std::is_same<T, uint16_t>::value || std::is_same<T, int16_t>::value ||
+      std::is_same<T, int32_t>::value || std::is_same<T, int64_t>::value);
+}
+
+template <typename T>
+constexpr bool is_zarch_implemented_quant() {
+  return (
+      std::is_same<T, c10::qint32>::value ||
+      std::is_same<T, c10::qint8>::value ||
+      std::is_same<T, c10::quint8>::value);
+}
+
+template <typename T>
+constexpr bool is_zarch_implemented_complex() {
+  return std::is_same<T, c10::complex<float>>::value ||
+      std::is_same<T, c10::complex<double>>::value;
+}
+
+constexpr int offset0 = 0;
+constexpr int offset16 = 16;
+
+template <int N>
+struct VecBinaryType {
+  using type __attribute__((vector_size(16))) = uintmax_t;
+};
+
+template <>
+struct VecBinaryType<8> {
+  using type = __attribute__((vector_size(16))) unsigned long long;
+};
+
+template <>
+struct VecBinaryType<4> {
+  using type = __attribute__((vector_size(16))) unsigned int;
+};
+
+template <>
+struct VecBinaryType<2> {
+  using type = __attribute__((vector_size(16))) unsigned short;
+};
+
+template <>
+struct VecBinaryType<1> {
+  using type = __attribute__((vector_size(16))) unsigned char;
+};
+
+template <typename T>
+struct VecInnerType {
+  using Type __attribute__((vector_size(16))) = T;
+  using BinaryType = typename VecBinaryType<sizeof(T)>::type;
+  using ElementType = T;
+  static constexpr int size = 16 / sizeof(T);
+};
+
+// define for int64_t properly for load
+template <>
+struct VecInnerType<int64_t> {
+  using Type = __attribute__((vector_size(16))) signed long long;
+  using ElementType = signed long long;
+  using BinaryType = typename VecBinaryType<sizeof(signed long long)>::type;
+  static constexpr int size = 16 / sizeof(signed long long);
+};
+
+template <typename T>
+using ZSimdVect = typename VecInnerType<T>::Type;
+template <typename T>
+using ZSimdVectBinary = typename VecInnerType<T>::BinaryType;
+template <typename T>
+using ZSimdVectElement = typename VecInnerType<T>::ElementType;
+
+constexpr int blendChoiceInner(
+    const uint64_t mask,
+    const uint64_t half1 = 0xF,
+    const uint64_t half2 = 0xF0) {
+  uint64_t none = 0;
+  uint64_t both = half1 | half2;
+  // clamp it between 0 and both
+  auto res_mask = mask & both;
+  // return  (a._vec0, a._vec1)
+  if (res_mask == none)
+    return 0;
+  // return (b._vec0,b._vec1)
+  else if (res_mask == both)
+    return 1;
+  // return  (b._vec0, a._vec1)
+  else if (res_mask == half1)
+    return 2;
+  // return  (a._vec0,b._vec1)
+  else if (res_mask == half2)
+    return 3;
+  // return  (*_vec0,a._vec1)
+  else if (res_mask > 0 && res_mask < half1)
+    return 4;
+  // return  (*_vec0,b._vec1)
+  else if ((res_mask & half2) == half2)
+    return 5;
+  // return (a._vec0,*_vec1)
+  else if ((res_mask & half1) == 0 && res_mask > half1)
+    return 6;
+  // return (b._vec0,*_vec1)
+  else if ((res_mask & half1) == half1 && res_mask > half1)
+    return 7;
+  // return (*_vec0,*_vec1)
+  return 8;
+}
+
+// it can be used to emulate blend faster
+template <int Z>
+constexpr int blendChoice(const uint64_t mask) {
+  static_assert(Z < 1 || Z > 8, "not implemented");
+  return blendChoiceInner(mask);
+}
+
+template <>
+constexpr int blendChoice<1>(const uint64_t mask) {
+  return blendChoiceInner(mask, 0x0000FFFF, 0xFFFF0000);
+}
+
+template <>
+constexpr int blendChoice<2>(const uint64_t mask) {
+  return blendChoiceInner(mask, 0x00FF, 0xFF00);
+}
+
+template <>
+constexpr int blendChoice<4>(const uint64_t mask) {
+  return blendChoiceInner(mask, 0xF, 0xF0);
+}
+
+template <>
+constexpr int blendChoice<8>(const uint64_t mask) {
+  // clamp it 0 and 0xF
+  return blendChoiceInner(mask, 0x3, 0xC);
+}
+
+template <int N>
+constexpr auto GetMask1(const uint64_t mask) {
+  return typename VecBinaryType<N>::type{};
+}
+
+template <int N>
+constexpr auto GetMask2(const uint64_t mask) {
+  return typename VecBinaryType<N>::type{};
+}
+
+template <>
+constexpr auto GetMask1<1>(const uint64_t mask) {
+  constexpr uint8_t t = (int)0xFF;
+  uint8_t g0 = (mask & 1) * t;
+  uint8_t g1 = ((mask & 2) >> 1) * t;
+  uint8_t g2 = ((mask & 4) >> 2) * t;
+  uint8_t g3 = ((mask & 8) >> 3) * t;
+  uint8_t g4 = ((mask & 16) >> 4) * t;
+  uint8_t g5 = ((mask & 32) >> 5) * t;
+  uint8_t g6 = ((mask & 64) >> 6) * t;
+  uint8_t g7 = ((mask & 128) >> 7) * t;
+  uint8_t g8 = ((mask & 256) >> 8) * t;
+  uint8_t g9 = ((mask & 512) >> 9) * t;
+  uint8_t g10 = ((mask & 1024) >> 10) * t;
+  uint8_t g11 = ((mask & 2048) >> 11) * t;
+  uint8_t g12 = ((mask & 4096) >> 12) * t;
+  uint8_t g13 = ((mask & 8192) >> 13) * t;
+  uint8_t g14 = ((mask & 16384) >> 14) * t;
+  uint8_t g15 = ((mask & 32768) >> 15) * t;
+  return (typename VecBinaryType<1>::type){
+      g0, g1, g2, g3, g4, g5, g6, g7, g8, g9, g10, g11, g12, g13, g14, g15};
+}
+
+template <>
+constexpr auto GetMask2<1>(const uint64_t mask) {
+  uint64_t mask2 = (mask & 0xFFFFFFFF) >> 16;
+  return GetMask1<1>(mask2);
+}
+
+template <>
+constexpr auto GetMask1<2>(const uint64_t mask) {
+  constexpr uint16_t t = (int)0xFFFF;
+  uint16_t g0 = (mask & 1) * t;
+  uint16_t g1 = ((mask & 2) >> 1) * t;
+  uint16_t g2 = ((mask & 4) >> 2) * t;
+  uint16_t g3 = ((mask & 8) >> 3) * t;
+  uint16_t g4 = ((mask & 16) >> 4) * t;
+  uint16_t g5 = ((mask & 32) >> 5) * t;
+  uint16_t g6 = ((mask & 64) >> 6) * t;
+  uint16_t g7 = ((mask & 128) >> 7) * t;
+  return (typename VecBinaryType<2>::type){g0, g1, g2, g3, g4, g5, g6, g7};
+}
+
+template <>
+constexpr auto GetMask2<2>(const uint64_t mask) {
+  uint64_t mask2 = (mask & 0xFFFF) >> 8;
+  return GetMask1<2>(mask2);
+}
+
+template <>
+constexpr auto GetMask1<4>(const uint64_t mask) {
+  uint32_t g0 = (mask & 1) * 0xffffffff;
+  uint32_t g1 = ((mask & 2) >> 1) * 0xffffffff;
+  uint32_t g2 = ((mask & 4) >> 2) * 0xffffffff;
+  uint32_t g3 = ((mask & 8) >> 3) * 0xffffffff;
+  return (typename VecBinaryType<4>::type){g0, g1, g2, g3};
+}
+
+template <>
+constexpr auto GetMask2<4>(const uint64_t mask) {
+  uint64_t mask2 = (mask & 0xFF) >> 4;
+  return GetMask1<4>(mask2);
+}
+
+template <>
+constexpr auto GetMask1<8>(const uint64_t mask) {
+  uint64_t g0 = (mask & 1) * 0xffffffffffffffff;
+  uint64_t g1 = ((mask & 2) >> 1) * 0xffffffffffffffff;
+  return (typename VecBinaryType<8>::type){g0, g1};
+}
+
+template <>
+constexpr auto GetMask2<8>(const uint64_t mask) {
+  uint64_t mask2 = (mask & 0xF) >> 2;
+  return GetMask1<8>(mask2);
+}
+
+template <int Z>
+constexpr int maskForComplex(uint32_t mask) {
+  return 0;
+}
+
+template <>
+constexpr int maskForComplex<8>(uint32_t mask) {
+  mask = mask & 0xF;
+  int complex_mask = 0;
+  if (mask & 1)
+    complex_mask |= 3;
+  if (mask & 2)
+    complex_mask |= (3 << 2);
+  if (mask & 4)
+    complex_mask |= (3 << 4);
+  if (mask & 8)
+    complex_mask |= (3 << 6);
+  return complex_mask;
+}
+
+template <>
+constexpr int maskForComplex<16>(uint32_t mask) {
+  mask = mask & 0x3;
+  int complex_mask = 0;
+  if (mask & 1)
+    complex_mask |= 3;
+  if (mask & 2)
+    complex_mask |= (3 << 2);
+  return complex_mask;
+}
+
+template <typename T = c10::complex<float>>
+constexpr int blend_choice() {
+  return 0xAA;
+}
+
+template <>
+constexpr int blend_choice<c10::complex<double>>() {
+  return 0x0A;
+}
+
+constexpr int64_t allbitset(int16_t x) {
+  int64_t onex = 1;
+  return (onex << x) - onex;
+}
+
+namespace { /* unnamed namespace */
+
+ZSimdVect<float> vec_mergee(ZSimdVect<float> x, ZSimdVect<float> y) {
+  constexpr ZSimdVectBinary<uint8_t> mergee_mask{
+      0, 1, 2, 3, 16, 17, 18, 19, 8, 9, 10, 11, 24, 25, 26, 27};
+  return vec_perm(x, y, mergee_mask);
+}
+
+ZSimdVect<double> vec_mergee(ZSimdVect<double> x, ZSimdVect<double> y) {
+  return vec_mergeh(x, y);
+}
+
+ZSimdVect<float> vec_mergeo(ZSimdVect<float> x, ZSimdVect<float> y) {
+  constexpr ZSimdVectBinary<uint8_t> mergeo_mask{
+      4, 5, 6, 7, 20, 21, 22, 23, 12, 13, 14, 15, 28, 29, 30, 31};
+  return vec_perm(x, y, mergeo_mask);
+}
+
+ZSimdVect<double> vec_mergeo(ZSimdVect<double> x, ZSimdVect<double> y) {
+  return vec_mergel(x, y);
+}
+
+} /* unnamed namespace */
+
+//
+template <typename T>
+constexpr auto GetBpermZeroMask() {
+  return ZSimdVectBinary<uint8_t>{
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      96,
+      64,
+      32,
+      0};
+}
+
+template <>
+constexpr auto GetBpermZeroMask<double>() {
+  return ZSimdVectBinary<uint8_t>{
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      128,
+      64,
+      0};
+}
+
+constexpr auto GetSwapMaskFloat() {
+  return ZSimdVectBinary<uint8_t>{
+      4, 5, 6, 7, 0, 1, 2, 3, 12, 13, 14, 15, 8, 9, 10, 11};
+}
+
+template <typename T>
+struct Vectorized<T, std::enable_if_t<is_zarch_implemented<T>()>> {
+ public:
+  using value_type = T;
+  using vtype = ZSimdVect<T>;
+  using vmaskType = ZSimdVectBinary<T>;
+  using size_type = int;
+  // because of gcc inconsistency for int64_t we are obliged to use this, not
+  // value_type
+  using ElementType = ZSimdVectElement<T>;
+  using vinner_data = std::pair<vtype, vtype>;
+
+ private:
+  vtype _vec0;
+  vtype _vec1;
+
+ public:
+  static constexpr size_type size() {
+    return VECTOR_WIDTH / sizeof(ElementType);
+  }
+  Vectorized() {}
+
+  C10_ALWAYS_INLINE Vectorized(vtype v) : _vec0{v}, _vec1{v} {}
+  C10_ALWAYS_INLINE Vectorized(const vinner_data &v) : _vec0{v.first}, _vec1{v.second} {}
+  C10_ALWAYS_INLINE Vectorized(vtype v1, vtype v2) : _vec0{v1}, _vec1{v2} {}
+  C10_ALWAYS_INLINE Vectorized(T s)
+      : _vec0{vec_splats((ElementType)s)}, _vec1{vec_splats((ElementType)s)} {}
+
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    if (count == size()) {
+      return {
+          vec_xl(offset0, reinterpret_cast<const ElementType*>(ptr)),
+          vec_xl(offset16, reinterpret_cast<const ElementType*>(ptr))};
+    }
+
+    __at_align__ ElementType tmp_values[size()] = {};
+    std::memcpy(tmp_values, ptr, std::min(count, size()) * sizeof(ElementType));
+
+    return {
+        vec_xl(offset0, reinterpret_cast<const ElementType*>(tmp_values)),
+        vec_xl(offset16, reinterpret_cast<const ElementType*>(tmp_values))};
+  }
+
+  static Vectorized<value_type> C10_ALWAYS_INLINE
+  loadu_one_fourth(const void* ptr) {
+    // load only first 8 bytes
+    // only intended to be used with uint8_t
+    return loadu(ptr, 8 / sizeof(ElementType));
+  }
+
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      vec_xst(_vec0, offset0, reinterpret_cast<ElementType*>(ptr));
+      vec_xst(_vec1, offset16, reinterpret_cast<ElementType*>(ptr));
+    } else if (count > 0) {
+      __at_align__ ElementType tmp_values[size()];
+      vec_xst(_vec0, offset0, reinterpret_cast<ElementType*>(tmp_values));
+      vec_xst(_vec1, offset16, reinterpret_cast<ElementType*>(tmp_values));
+      std::memcpy(
+          ptr, tmp_values, std::min(count, size()) * sizeof(ElementType));
+    }
+  }
+
+  C10_ALWAYS_INLINE const vtype& vec0() const {
+    return _vec0;
+  }
+
+  C10_ALWAYS_INLINE const vtype& vec1() const {
+    return _vec1;
+  }
+
+  C10_ALWAYS_INLINE vinner_data data() const {
+    return std::make_pair<>(_vec0, _vec1);
+  }
+
+  C10_ALWAYS_INLINE operator vinner_data() const {
+    return data();
+  }
+
+  C10_ALWAYS_INLINE const vmaskType vecb0() const {
+    return (vmaskType)_vec0;
+  }
+  C10_ALWAYS_INLINE const vmaskType vecb1() const {
+    return (vmaskType)_vec1;
+  }
+
+  static Vectorized<T> C10_ALWAYS_INLINE blendv(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      const Vectorized<T>& mask) {
+    return {
+        vec_sel(a._vec0, b._vec0, mask.vecb0()),
+        vec_sel(a._vec1, b._vec1, mask.vecb1())};
+  }
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 8), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s1, T s2, T s3, T s4)
+      : _vec0{s1, s2}, _vec1{s3, s4} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 4), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s1, T s2, T s3, T s4, T s5, T s6, T s7, T s8)
+      : _vec0{s1, s2, s3, s4}, _vec1{s5, s6, s7, s8} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 2), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(
+      T s1,
+      T s2,
+      T s3,
+      T s4,
+      T s5,
+      T s6,
+      T s7,
+      T s8,
+      T s9,
+      T s10,
+      T s11,
+      T s12,
+      T s13,
+      T s14,
+      T s15,
+      T s16)
+      : _vec0{s1, s2, s3, s4, s5, s6, s7, s8},
+        _vec1{s9, s10, s11, s12, s13, s14, s15, s16} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 1), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(
+      T s1,
+      T s2,
+      T s3,
+      T s4,
+      T s5,
+      T s6,
+      T s7,
+      T s8,
+      T s9,
+      T s10,
+      T s11,
+      T s12,
+      T s13,
+      T s14,
+      T s15,
+      T s16,
+      T s17,
+      T s18,
+      T s19,
+      T s20,
+      T s21,
+      T s22,
+      T s23,
+      T s24,
+      T s25,
+      T s26,
+      T s27,
+      T s28,
+      T s29,
+      T s30,
+      T s31,
+      T s32)
+      : _vec0{s1, s2, s3, s4, s5, s6, s7, s8, s9, s10, s11, s12, s13, s14, s15, s16},
+        _vec1{
+            s17,
+            s18,
+            s19,
+            s20,
+            s21,
+            s22,
+            s23,
+            s24,
+            s25,
+            s26,
+            s27,
+            s28,
+            s29,
+            s30,
+            s31,
+            s32} {}
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 8, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(base, base + step, base + 2 * step, base + 3 * step);
+  }
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 4, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+        base,
+        base + step,
+        base + 2 * step,
+        base + 3 * step,
+        base + 4 * step,
+        base + 5 * step,
+        base + 6 * step,
+        base + 7 * step);
+  }
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 2, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+        base,
+        base + step,
+        base + 2 * step,
+        base + 3 * step,
+        base + 4 * step,
+        base + 5 * step,
+        base + 6 * step,
+        base + 7 * step,
+        base + 8 * step,
+        base + 9 * step,
+        base + 10 * step,
+        base + 11 * step,
+        base + 12 * step,
+        base + 13 * step,
+        base + 14 * step,
+        base + 15 * step);
+  }
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 1, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+        base,
+        base + step,
+        base + 2 * step,
+        base + 3 * step,
+        base + 4 * step,
+        base + 5 * step,
+        base + 6 * step,
+        base + 7 * step,
+        base + 8 * step,
+        base + 9 * step,
+        base + 10 * step,
+        base + 11 * step,
+        base + 12 * step,
+        base + 13 * step,
+        base + 14 * step,
+        base + 15 * step,
+        base + 16 * step,
+        base + 17 * step,
+        base + 18 * step,
+        base + 19 * step,
+        base + 20 * step,
+        base + 21 * step,
+        base + 22 * step,
+        base + 23 * step,
+        base + 24 * step,
+        base + 25 * step,
+        base + 26 * step,
+        base + 27 * step,
+        base + 28 * step,
+        base + 29 * step,
+        base + 30 * step,
+        base + 31 * step);
+  }
+
+  // blend section
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 0, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    return a;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 1, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    return b;
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 2, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    return {b._vec0, a._vec1};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 3, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    return {a._vec0, b._vec1};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 4, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    const vmaskType mask_1st = GetMask1<sizeof(T)>(mask);
+    return {(vtype)vec_sel(a._vec0, b._vec0, mask_1st), a._vec1};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 5, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    const vmaskType mask_1st = GetMask1<sizeof(T)>(mask);
+    return {(vtype)vec_sel(a._vec0, b._vec0, mask_1st), b._vec1};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 6, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    const vmaskType mask_2nd = GetMask2<sizeof(T)>(mask);
+    // generated masks
+    return {a._vec0, (vtype)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 7, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    const vmaskType mask_2nd = GetMask2<sizeof(T)>(mask);
+    // generated masks
+    return {b._vec0, (vtype)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <int64_t mask>
+  static std::enable_if_t<blendChoice<sizeof(T)>(mask) == 8, Vectorized<T>>
+      C10_ALWAYS_INLINE blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    const vmaskType mask_1st = GetMask1<sizeof(T)>(mask);
+    const vmaskType mask_2nd = GetMask2<sizeof(T)>(mask);
+    return {
+        (vtype)vec_sel(a._vec0, b._vec0, mask_1st),
+        (vtype)vec_sel(a._vec1, b._vec1, mask_2nd)};
+  }
+
+  template <int16_t Z, int16_t C>
+  static inline std::enable_if_t<(Z >= C), Vectorized<T>> set_inner(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count) {
+    return b;
+  }
+
+  template <int16_t Z, int16_t C>
+  static inline std::enable_if_t<(Z < C), Vectorized<T>> set_inner(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count) {
+    if (count == Z)
+      return blend<allbitset(Z)>(a, b);
+    else
+      return set_inner<Z + 1, C>(a, b, count);
+  }
+
+  static Vectorized<T> set(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count = size()) {
+    if (count == 0)
+      return a;
+    return set_inner<1, size()>(a, b, count);
+  }
+
+  const ElementType& operator[](int idx) const = delete;
+  ElementType& operator[](int idx) = delete;
+
+  Vectorized<T> C10_ALWAYS_INLINE operator+(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec0 + other._vec0, _vec1 + other._vec1};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator-(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec0 - other._vec0, _vec1 - other._vec1};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator*(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec0 * other._vec0, _vec1 * other._vec1};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator/(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec0 / other._vec0, _vec1 / other._vec1};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator&(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        (vtype)(vecb0() & other.vecb0()), (vtype)(vecb1() & other.vecb1())};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator|(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        (vtype)(vecb0() | other.vecb0()), (vtype)(vecb1() | other.vecb1())};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator^(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        (vtype)(vecb0() ^ other.vecb0()), (vtype)(vecb1() ^ other.vecb1())};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator<<(const Vectorized<T> &other) const {
+    constexpr ElementType max_shift = sizeof(ElementType) * CHAR_BIT;
+
+    ElementType a_array[Vectorized<T>::size()];
+    ElementType b_array[Vectorized<T>::size()];
+    ElementType c_array[Vectorized<T>::size()];
+
+    store(a_array);
+    other.store(b_array);
+
+    for (int i = 0; i != Vectorized<T>::size(); i++) {
+      T shift = b_array[i];
+      if ((static_cast<std::make_signed_t<T>>(shift) < 0) || (shift >= max_shift)) {
+        c_array[i] = 0;
+      } else {
+        c_array[i] = static_cast<std::make_unsigned_t<T>>(a_array[i]) << shift;
+      }
+   }
+
+    return loadu(c_array);
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator>>(const Vectorized<T> &other) const {
+    // right shift value to retain sign bit for signed and no bits for unsigned
+    constexpr ElementType max_shift = sizeof(T) * CHAR_BIT - std::is_signed_v<T>;
+
+    ElementType a_array[Vectorized<T>::size()];
+    ElementType b_array[Vectorized<T>::size()];
+    ElementType c_array[Vectorized<T>::size()];
+
+    store(a_array);
+    other.store(b_array);
+
+    for (int i = 0; i != Vectorized<T>::size(); i++) {
+      T shift = b_array[i];
+      if ((static_cast<std::make_signed_t<T>>(shift) < 0) || (shift >= max_shift)) {
+        c_array[i] = a_array[i] >> max_shift;
+      } else {
+        c_array[i] = a_array[i] >> shift;
+      }
+    }
+
+    return loadu(c_array);
+  }
+
+  Vectorized<T> _not() const {
+    return {(vtype)vec_nor(vecb0(), vecb0()), (vtype)vec_nor(vecb1(), vecb1())};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator==(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmpeq(_vec0, other._vec0), vec_cmpeq(_vec1, other._vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator!=(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmpeq(_vec0, other._vec0), vec_cmpeq(_vec1, other._vec1)}
+        ._not();
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator>(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmpgt(_vec0, other._vec0), vec_cmpgt(_vec1, other._vec1)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator>=(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmpge(_vec0, other._vec0), vec_cmpge(_vec1, other._vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator<(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmplt(_vec0, other._vec0), vec_cmplt(_vec1, other._vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator<=(const Vectorized<T>& other) const {
+    return Vectorized<T>{
+        vec_cmple(_vec0, other._vec0), vec_cmple(_vec1, other._vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE eq(const Vectorized<T>& other) const {
+    return (*this == other) & Vectorized<T>((T)1.0);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE ne(const Vectorized<T>& other) const {
+    return (*this != other) & Vectorized<T>((T)1.0);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE gt(const Vectorized<T>& other) const {
+    return (*this > other) & Vectorized<T>((T)1.0);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE ge(const Vectorized<T>& other) const {
+    return (*this >= other) & Vectorized<T>((T)1.0);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE lt(const Vectorized<T>& other) const {
+    return (*this < other) & Vectorized<T>((T)1.0);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE le(const Vectorized<T>& other) const {
+    return (*this <= other) & Vectorized<T>((T)1.0);
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_unsigned<U>::value, int> = 0>
+  Vectorized<U> C10_ALWAYS_INLINE abs() const {
+    return {vec_abs(_vec0), vec_abs(_vec1)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_unsigned<U>::value, int> = 0>
+  Vectorized<U> C10_ALWAYS_INLINE abs() const {
+    return {_vec0, _vec1};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE neg() const {
+    return {-_vec0, -_vec1};
+  }
+
+  Vectorized<T> isnan() const {
+    auto x = *this;
+    auto ret = (x == x);
+    return ret._not();
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<U> angle() const {
+    auto tmp = blendv(
+        Vectorized<U>(0), Vectorized<U>(c10::pi<U>), *this < Vectorized<U>(0));
+    return blendv(tmp, *this, isnan());
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_floating_point<U>::value, int> = 0>
+  Vectorized<U> angle() const {
+    return blendv(
+        Vectorized<U>(0), Vectorized<U>(c10::pi<U>), *this < Vectorized<U>(0));
+  }
+
+  Vectorized<T> real() const {
+    return *this;
+  }
+  Vectorized<T> imag() const {
+    return Vectorized<T>{0};
+  }
+  Vectorized<T> conj() const {
+    return *this;
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  int zero_mask() const {
+    auto cmp = (*this == Vectorized<U>(0));
+    constexpr auto mask_zero_bits = GetBpermZeroMask<U>();
+    ZSimdVectBinary<uint64_t> result0 =
+        vec_bperm_u128((ZSimdVectBinary<uint8_t>)cmp.vecb0(), mask_zero_bits);
+    ZSimdVectBinary<uint64_t> result1 =
+        vec_bperm_u128((ZSimdVectBinary<uint8_t>)cmp.vecb1(), mask_zero_bits);
+    return (result0[0] | (result1[0] << (size() / 2)));
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE floor() const {
+    return {vec_floor(_vec0), vec_floor(_vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE ceil() const {
+    return {vec_ceil(_vec0), vec_ceil(_vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE round() const {
+    return {vec_round(_vec0), vec_round(_vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE rint() const {
+    return {vec_rint(_vec0), vec_rint(_vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE trunc() const {
+    return {vec_trunc(_vec0), vec_trunc(_vec1)};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE frac() const {
+    return *this - trunc();
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE sqrt() const {
+    return {vec_sqrt(_vec0), vec_sqrt(_vec1)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE reciprocal() const {
+    return Vectorized<T>((T)1) / (*this);
+  }
+  Vectorized<T> C10_ALWAYS_INLINE rsqrt() const {
+    return sqrt().reciprocal();
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, float>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(float (*const f)(float)) const {
+    float a00 = f(_vec0[0]);
+    float a01 = f(_vec0[1]);
+    float a02 = f(_vec0[2]);
+    float a03 = f(_vec0[3]);
+    float a10 = f(_vec1[0]);
+    float a11 = f(_vec1[1]);
+    float a12 = f(_vec1[2]);
+    float a13 = f(_vec1[3]);
+    return Vectorized<T>{a00, a01, a02, a03, a10, a11, a12, a13};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, double>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(double (*const f)(double)) const {
+    return Vectorized<T>(f(_vec0[0]), f(_vec0[1]), f(_vec1[0]), f(_vec1[1]));
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, float>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(
+      float (*const f)(float, float),
+      const Vectorized<T>& b) const {
+    float a00 = f(_vec0[0], b._vec0[0]);
+    float a01 = f(_vec0[1], b._vec0[1]);
+    float a02 = f(_vec0[2], b._vec0[2]);
+    float a03 = f(_vec0[3], b._vec0[3]);
+    float a10 = f(_vec1[0], b._vec1[0]);
+    float a11 = f(_vec1[1], b._vec1[1]);
+    float a12 = f(_vec1[2], b._vec1[2]);
+    float a13 = f(_vec1[3], b._vec1[3]);
+    return Vectorized<T>{a00, a01, a02, a03, a10, a11, a12, a13};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, double>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(
+      double (*const f)(double, double),
+      const Vectorized<T>& b) const {
+    return Vectorized<T>(
+        f(_vec0[0], b._vec0[0]),
+        f(_vec0[1], b._vec0[1]),
+        f(_vec1[0], b._vec1[0]),
+        f(_vec1[1], b._vec1[1]));
+  }
+
+  template <
+      typename FloatOp,
+      typename DoubleOp,
+      typename U = T,
+      std::enable_if_t<std::is_same<U, float>::value, int> = 0>
+  inline Vectorized<T> mapSleef(FloatOp f, DoubleOp d) const {
+    vtype a0 = f(_vec0);
+    vtype a1 = f(_vec1);
+    return Vectorized<T>{a0, a1};
+  }
+
+  template <
+      typename FloatOp,
+      typename DoubleOp,
+      typename U = T,
+      std::enable_if_t<std::is_same<U, double>::value, int> = 0>
+  inline Vectorized<T> mapSleef(FloatOp f, DoubleOp d) const {
+    return Vectorized<T>(d(_vec0), d(_vec1));
+  }
+
+  template <
+      typename FloatOp,
+      typename DoubleOp,
+      typename U = T,
+      std::enable_if_t<std::is_same<U, float>::value, int> = 0>
+  inline Vectorized<T> mapSleef(FloatOp f, DoubleOp d, const Vectorized<T>& b)
+      const {
+    vtype a0 = f(_vec0, b._vec0);
+    vtype a1 = f(_vec1, b._vec1);
+    return Vectorized<T>{a0, a1};
+  }
+
+  template <
+      typename FloatOp,
+      typename DoubleOp,
+      typename U = T,
+      std::enable_if_t<std::is_same<U, double>::value, int> = 0>
+  inline Vectorized<T> mapSleef(FloatOp f, DoubleOp d, const Vectorized<T>& b)
+      const {
+    return Vectorized<T>(d(_vec0, b._vec0), d(_vec1, b._vec1));
+  }
+
+  Vectorized<T> acos() const {
+    return mapSleef(Sleef_acosf4_u10, Sleef_acosd2_u10);
+  }
+  Vectorized<T> asin() const {
+    return mapSleef(Sleef_asinf4_u10, Sleef_asind2_u10);
+  }
+  Vectorized<T> atan() const {
+    return mapSleef(Sleef_atanf4_u10, Sleef_atand2_u10);
+  }
+  Vectorized<T> atanh() const {
+    return mapSleef(Sleef_atanhf4_u10, Sleef_atanhd2_u10);
+  }
+
+  Vectorized<T> erf() const {
+    return mapSleef(Sleef_erff4_u10, Sleef_erfd2_u10);
+  }
+  Vectorized<T> erfc() const {
+    return mapSleef(Sleef_erfcf4_u15, Sleef_erfcd2_u15);
+  }
+
+  Vectorized<T> exp() const {
+    return mapSleef(Sleef_expf4_u10, Sleef_expd2_u10);
+  }
+  Vectorized<T> exp2() const {
+    return mapSleef(Sleef_exp2f4_u10, Sleef_exp2d2_u10);
+  }
+  Vectorized<T> expm1() const {
+    return mapSleef(Sleef_expm1f4_u10, Sleef_expm1d2_u10);
+  }
+
+  Vectorized<T> log() const {
+    return mapSleef(Sleef_logf4_u10, Sleef_logd2_u10);
+  }
+  Vectorized<T> log2() const {
+    return mapSleef(Sleef_log2f4_u10, Sleef_log2d2_u10);
+  }
+  Vectorized<T> log10() const {
+    return mapSleef(Sleef_log10f4_u10, Sleef_log10d2_u10);
+  }
+  Vectorized<T> log1p() const {
+    return mapSleef(Sleef_log1pf4_u10, Sleef_log1pd2_u10);
+  }
+
+  Vectorized<T> sin() const {
+#ifndef SLEEF_MEMORY_WORKAROUND
+    return mapSleef(Sleef_sinf4_u10, Sleef_sind2_u10);
+#else
+    return mapOrdinary(std::sin);
+#endif
+  }
+  Vectorized<T> sinh() const {
+    return mapSleef(Sleef_sinhf4_u10, Sleef_sinhd2_u10);
+  }
+  Vectorized<T> cos() const {
+#ifndef SLEEF_MEMORY_WORKAROUND
+    return mapSleef(Sleef_cosf4_u10, Sleef_cosd2_u10);
+#else
+    return mapOrdinary(std::cos);
+#endif
+  }
+  Vectorized<T> cosh() const {
+    return mapSleef(Sleef_coshf4_u10, Sleef_coshd2_u10);
+  }
+
+  Vectorized<T> tan() const {
+#ifndef SLEEF_MEMORY_WORKAROUND
+    return mapSleef(Sleef_tanf4_u10, Sleef_tand2_u10);
+#else
+    return mapOrdinary(std::tan);
+#endif
+  }
+  Vectorized<T> tanh() const {
+    return mapSleef(Sleef_tanhf4_u10, Sleef_tanhd2_u10);
+  }
+
+  Vectorized<T> lgamma() const {
+    return mapSleef(Sleef_lgammaf4_u10, Sleef_lgammad2_u10);
+  }
+
+  Vectorized<T> atan2(const Vectorized<T>& b) const {
+    return mapSleef(Sleef_atan2f4_u10, Sleef_atan2d2_u10, b);
+  }
+  Vectorized<T> copysign(const Vectorized<T>& sign) const {
+    return mapSleef(Sleef_copysignf4, Sleef_copysignd2, sign);
+  }
+  Vectorized<T> fmod(const Vectorized<T>& q) const {
+    return mapSleef(Sleef_fmodf4, Sleef_fmodd2, q);
+  }
+
+  Vectorized<T> hypot(const Vectorized<T>& b) const {
+    return mapSleef(Sleef_hypotf4_u05, Sleef_hypotd2_u05, b);
+  }
+
+  Vectorized<T> pow(const Vectorized<T>& b) const {
+    return mapSleef(Sleef_powf4_u10, Sleef_powd2_u10, b);
+  }
+
+  Vectorized<T> nextafter(const Vectorized<T>& b) const {
+    return mapSleef(Sleef_nextafterf4, Sleef_nextafterd2, b);
+  }
+
+  Vectorized<T> erfinv() const {
+    return mapOrdinary(calc_erfinv);
+  }
+
+  Vectorized<T> digamma() const {
+    return mapOrdinary(calc_digamma);
+  }
+
+  Vectorized<T> igamma(const Vectorized<T>& x) const {
+    return mapOrdinary(calc_igamma, x);
+  }
+
+  Vectorized<T> igammac(const Vectorized<T>& x) const {
+    return mapOrdinary(calc_igammac, x);
+  }
+
+  Vectorized<T> i0() const {
+    return mapOrdinary(calc_i0);
+  }
+
+  Vectorized<T> i0e() const {
+    return mapOrdinary(calc_i0e);
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> minimum(const Vectorized<T>& other) const {
+    return {vec_min(_vec0, other._vec0), vec_min(_vec1, other._vec1)};
+  }
+
+  /* Propagates NaN if either input is a NaN. */
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> minimum(const Vectorized<T>& other) const {
+    Vectorized<T> tmp = {vec_min(_vec0, other._vec0), vec_min(_vec1, other._vec1)};
+    tmp = blendv(tmp, *this, isnan());
+    return blendv(tmp, other, other.isnan());
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> maximum(const Vectorized<T>& other) const {
+    return {vec_max(_vec0, other._vec0), vec_max(_vec1, other._vec1)};
+  }
+
+  /* Propagates NaN if either input is a NaN. */
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> maximum(const Vectorized<T>& other) const {
+    Vectorized<T> tmp = {vec_max(_vec0, other._vec0), vec_max(_vec1, other._vec1)};
+    tmp = blendv(tmp, *this, isnan());
+    return blendv(tmp, other, other.isnan());
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> clamp_min(const Vectorized<T>& min) const {
+    return {vec_max(_vec0, min._vec0), vec_max(_vec1, min._vec1)};
+  }
+
+  /* Keeps NaN if actual value is NaN */
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> clamp_min(const Vectorized<T>& min) const {
+    Vectorized<T> tmp = {vec_max(_vec0, min._vec0), vec_max(_vec1, min._vec1)};
+    return blendv(tmp, *this, isnan());
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<!std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> clamp_max(const Vectorized<T>& max) const {
+    return {vec_min(_vec0, max._vec0), vec_min(_vec1, max._vec1)};
+  }
+
+  /* Keeps NaN if actual value is NaN */
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> clamp_max(const Vectorized<T>& max) const {
+    Vectorized<T> tmp = {vec_min(_vec0, max._vec0), vec_min(_vec1, max._vec1)};
+    return blendv(tmp, *this, isnan());
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, float>::value, int> = 0>
+  Vectorized<T> swapped() const {
+    auto swap_mask = GetSwapMaskFloat();
+    vtype v0 = vec_perm(_vec0, _vec0, swap_mask);
+    vtype v1 = vec_perm(_vec1, _vec1, swap_mask);
+    return {v0, v1};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, double>::value, int> = 0>
+  Vectorized<T> swapped() const {
+    vtype v0 = vec_permi(_vec0, _vec0, 2);
+    vtype v1 = vec_permi(_vec1, _vec1, 2);
+    return {v0, v1};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  static Vectorized<T> mergee(Vectorized<T>& first, Vectorized<T>& second) {
+    return {
+        vec_mergee(first._vec0, second._vec0),
+        vec_mergee(first._vec1, second._vec1)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  static Vectorized<T> mergeo(Vectorized<T>& first, Vectorized<T>& second) {
+    return {
+        vec_mergeo(first._vec0, second._vec0),
+        vec_mergeo(first._vec1, second._vec1)};
+  }
+
+  static Vectorized<T> horizontal_add_perm(
+      Vectorized<T>& first,
+      Vectorized<T>& second) {
+    // we will simulate it differently with 6 instructions total
+    // lets permute second so that we can add it getting horizontal sums
+    auto first_perm = first.swapped(); // 2perm
+    auto second_perm = second.swapped(); // 2perm
+    // summ
+    auto first_ret = first + first_perm; // 2add
+    auto second_ret = second + second_perm; // 2 add
+    // now lets choose evens
+    return mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  static Vectorized<T> horizontal_sub_perm(
+      Vectorized<T>& first,
+      Vectorized<T>& second) {
+    // we will simulate it differently with 6 instructions total
+    // lets permute second so that we can add it getting horizontal sums
+    auto first_perm = first.swapped(); // 2perm
+    auto second_perm = second.swapped(); // 2perm
+    // summ
+    auto first_ret = first - first_perm; // 2sub
+    auto second_ret = second - second_perm; // 2 sub
+    // now lets choose evens
+    return mergee(first_ret, second_ret); // 2 mergee's
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> mergee() const {
+    return {vec_mergee(_vec0, _vec0), vec_mergee(_vec1, _vec1)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_floating_point<U>::value, int> = 0>
+  Vectorized<T> mergeo() const {
+    return {vec_mergeo(_vec0, _vec0), vec_mergeo(_vec1, _vec1)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, uint8_t>::value, int> = 0>
+  Vectorized<int32_t> to_vec_float_helper() const {
+    int32_t values[8] = {
+      _vec0[0],
+      _vec0[1],
+      _vec0[2],
+      _vec0[3],
+      _vec0[4],
+      _vec0[5],
+      _vec0[6],
+      _vec0[7],
+    };
+
+    return Vectorized<int32_t>{
+      values[0], values[1], values[2], values[3],
+      values[4], values[5], values[6], values[7]
+    };
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, int32_t>::value, int> = 0>
+  Vectorized<uint8_t> to_vec_uint8_helper() const {
+    // helper function for float to uint8_t conversion
+    uint8_t values[8] = {
+      static_cast<uint8_t>(_vec0[0]),
+      static_cast<uint8_t>(_vec0[1]),
+      static_cast<uint8_t>(_vec0[2]),
+      static_cast<uint8_t>(_vec0[3]),
+      static_cast<uint8_t>(_vec1[0]),
+      static_cast<uint8_t>(_vec1[1]),
+      static_cast<uint8_t>(_vec1[2]),
+      static_cast<uint8_t>(_vec1[3]),
+    };
+
+    return Vectorized<uint8_t>{
+      values[0], values[1], values[2], values[3],
+      values[4], values[5], values[6], values[7],
+      0, 0, 0, 0,
+      0, 0, 0, 0,
+      0, 0, 0, 0,
+      0, 0, 0, 0,
+      0, 0, 0, 0,
+      0, 0, 0, 0,
+    };
+  }
+};
+
+template <>
+inline Vectorized<int64_t> operator~(const Vectorized<int64_t>& a) {
+  return a._not();
+}
+
+template <>
+inline Vectorized<int32_t> operator~(const Vectorized<int32_t>& a) {
+  return a._not();
+}
+
+template <>
+inline Vectorized<int16_t> operator~(const Vectorized<int16_t>& a) {
+  return a._not();
+}
+
+template <>
+inline Vectorized<int8_t> operator~(const Vectorized<int8_t>& a) {
+  return a._not();
+}
+
+template <>
+inline Vectorized<uint8_t> operator~(const Vectorized<uint8_t>& a) {
+  return a._not();
+}
+
+#define DEFINE_MAXMIN_FUNCS(operand_type)                                     \
+  template <>                                                                 \
+  Vectorized<operand_type> inline maximum(                                    \
+      const Vectorized<operand_type>& a, const Vectorized<operand_type>& b) { \
+    return a.maximum(b);                                                      \
+  }                                                                           \
+  template <>                                                                 \
+  Vectorized<operand_type> inline minimum(                                    \
+      const Vectorized<operand_type>& a, const Vectorized<operand_type>& b) { \
+    return a.minimum(b);                                                      \
+  }
+
+#define DEFINE_CLAMP_MAXMIN_FUNCS(typex)                          \
+  DEFINE_MAXMIN_FUNCS(typex)                                      \
+  template <>                                                     \
+  Vectorized<typex> C10_ALWAYS_INLINE clamp_min(                  \
+      const Vectorized<typex>& a, const Vectorized<typex>& min) { \
+    return a.clamp_min(min);                                      \
+  }                                                               \
+  template <>                                                     \
+  Vectorized<typex> C10_ALWAYS_INLINE clamp_max(                  \
+      const Vectorized<typex>& a, const Vectorized<typex>& max) { \
+    return a.clamp_max(max);                                      \
+  }                                                               \
+  template <>                                                     \
+  Vectorized<typex> C10_ALWAYS_INLINE clamp(                      \
+      const Vectorized<typex>& a,                                 \
+      const Vectorized<typex>& min,                               \
+      const Vectorized<typex>& max) {                             \
+    return clamp_max(clamp_min(a, min), max);                     \
+  }
+
+DEFINE_CLAMP_MAXMIN_FUNCS(int8_t)
+DEFINE_CLAMP_MAXMIN_FUNCS(uint8_t)
+DEFINE_CLAMP_MAXMIN_FUNCS(int16_t)
+DEFINE_CLAMP_MAXMIN_FUNCS(int32_t)
+DEFINE_CLAMP_MAXMIN_FUNCS(int64_t)
+DEFINE_CLAMP_MAXMIN_FUNCS(float)
+DEFINE_CLAMP_MAXMIN_FUNCS(double)
+
+namespace { /* unnamed namespace */
+
+#if !defined(vec_float) || __ARCH__ < 13
+#warning \
+    "float->int and int->float conversion is simulated. compile for z15 for improved performance"
+inline ZSimdVect<float> vec_int_flt(const ZSimdVect<int> x) {
+  return ZSimdVect<float>{float(x[0]), float(x[1]), float(x[2]), float(x[3])};
+}
+inline ZSimdVect<int> vec_flt_int(const ZSimdVect<float> x) {
+  return ZSimdVect<int>{int(x[0]), int(x[1]), int(x[2]), int(x[3])};
+}
+#else
+#define vec_int_flt vec_float
+#define vec_flt_int vec_signed
+#endif
+
+Vectorized<float> convert_to_float(const Vectorized<int32_t>& x) {
+  return {vec_int_flt(x.vec0()), vec_int_flt(x.vec1())};
+}
+
+Vectorized<int32_t> convert_to_int(const Vectorized<float>& x) {
+  return {vec_flt_int(x.vec0()), vec_flt_int(x.vec1())};
+}
+
+Vectorized<double> convert_to_float(const Vectorized<int64_t>& x) {
+  return {vec_double(x.vec0()), vec_double(x.vec1())};
+}
+
+Vectorized<int64_t> convert_to_int(const Vectorized<double>& x) {
+  return {vec_signed(x.vec0()), vec_signed(x.vec1())};
+}
+
+} /* unnamed namespace */
+
+template <typename T, typename V>
+Vectorized<V> cast_zvector(const Vectorized<T>& x) {
+  using cast_type = typename Vectorized<V>::vtype;
+  return Vectorized<V>{(cast_type)x.vec0(), (cast_type)x.vec1()};
+}
+
+template <>
+Vectorized<float> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<float>& a,
+    const Vectorized<float>& b,
+    const Vectorized<float>& c) {
+  return Vectorized<float>{
+      __builtin_s390_vfmasb(a.vec0(), b.vec0(), c.vec0()),
+      __builtin_s390_vfmasb(a.vec1(), b.vec1(), c.vec1())};
+}
+template <>
+Vectorized<double> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b,
+    const Vectorized<double>& c) {
+  return Vectorized<double>{
+      __builtin_s390_vfmadb(a.vec0(), b.vec0(), c.vec0()),
+      __builtin_s390_vfmadb(a.vec1(), b.vec1(), c.vec1())};
+}
+template <>
+Vectorized<int16_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int16_t>& a,
+    const Vectorized<int16_t>& b,
+    const Vectorized<int16_t>& c) {
+  return Vectorized<int16_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+template <>
+Vectorized<int32_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int32_t>& a,
+    const Vectorized<int32_t>& b,
+    const Vectorized<int32_t>& c) {
+  return Vectorized<int32_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+template <>
+Vectorized<int64_t> C10_ALWAYS_INLINE fmadd(
+    const Vectorized<int64_t>& a,
+    const Vectorized<int64_t>& b,
+    const Vectorized<int64_t>& c) {
+  return Vectorized<int64_t>{
+      a.vec0() * b.vec0() + c.vec0(), a.vec1() * b.vec1() + c.vec1()};
+}
+
+template <>
+Vectorized<int64_t> C10_ALWAYS_INLINE
+convert_to_int_of_same_size<double>(const Vectorized<double>& src) {
+  return convert_to_int(src);
+}
+
+template <>
+Vectorized<int32_t> C10_ALWAYS_INLINE
+convert_to_int_of_same_size<float>(const Vectorized<float>& src) {
+  return convert_to_int(src);
+}
+
+template <>
+inline void convert(const int32_t* src, float* dst, int64_t n) {
+  // int32_t and float have same size
+  int64_t i;
+  for (i = 0; i <= (n - Vectorized<float>::size());
+       i += Vectorized<float>::size()) {
+    const int32_t* src_a = src + i;
+    float* dst_a = dst + i;
+    auto input_vec = Vectorized<int32_t>::loadu(src_a);
+    auto output_vec = convert_to_float(input_vec);
+    output_vec.store(dst_a);
+  }
+
+  for (; i < n; i++) {
+    dst[i] = static_cast<float>(src[i]);
+  }
+}
+
+template <>
+inline void convert(const int64_t* src, double* dst, int64_t n) {
+  int64_t i;
+  for (i = 0; i <= (n - Vectorized<double>::size());
+       i += Vectorized<double>::size()) {
+    const int64_t* src_a = src + i;
+    double* dst_a = dst + i;
+    auto input_vec = Vectorized<int64_t>::loadu(src_a);
+    auto output_vec = convert_to_float(input_vec);
+    output_vec.store(dst_a);
+  }
+  for (; i < n; i++) {
+    dst[i] = static_cast<double>(src[i]);
+  }
+}
+
+#define DEFINE_REINTERPRET_CAST_FUNCS(Fst, Cst)     \
+  template <>                                       \
+  C10_ALWAYS_INLINE Vectorized<Cst> cast<Cst, Fst>( \
+      const Vectorized<Fst>& src) {                 \
+    return cast_zvector<Fst, Cst>(src);             \
+  }
+
+#define DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(Fst) \
+  DEFINE_REINTERPRET_CAST_FUNCS(Fst, double)      \
+  DEFINE_REINTERPRET_CAST_FUNCS(Fst, float)       \
+  DEFINE_REINTERPRET_CAST_FUNCS(Fst, int64_t)     \
+  DEFINE_REINTERPRET_CAST_FUNCS(Fst, int32_t)     \
+  DEFINE_REINTERPRET_CAST_FUNCS(Fst, int16_t)
+
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(float)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(double)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int64_t)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int32_t)
+DEFINE_REINTERPRET_CAST_TO_ALL_FUNCS(int16_t)
+
+#undef DEFINE_REINTERPRET_CAST_FUNCS
+
+template <typename T>
+struct unpack_type {
+  using type = T;
+};
+template <>
+struct unpack_type<int8_t> {
+  using type = int16_t;
+};
+template <>
+struct unpack_type<uint8_t> {
+  using type = int16_t;
+};
+template <>
+struct unpack_type<int16_t> {
+  using type = int32_t;
+};
+
+template <typename T>
+struct pack_type {
+  using type = T;
+};
+template <>
+struct pack_type<int16_t> {
+  using type = int8_t;
+};
+template <>
+struct pack_type<int32_t> {
+  using type = int16_t;
+};
+
+namespace { /* unnamed namespace */
+
+template <typename T, typename V = typename unpack_type<T>::type>
+std::pair<Vectorized<V>, Vectorized<V>> unpack(const Vectorized<T>& x) {
+  auto vec0 = vec_unpackh(x.vec0());
+  auto vec1 = vec_unpackl(x.vec0());
+  auto vec2 = vec_unpackh(x.vec1());
+  auto vec3 = vec_unpackl(x.vec1());
+  return {Vectorized<V>{vec0, vec1}, Vectorized<V>{vec2, vec3}};
+}
+
+template <>
+std::pair<Vectorized<int16_t>, Vectorized<int16_t>> unpack<uint8_t, int16_t>(
+    const Vectorized<uint8_t>& x) {
+  using typeX = typename Vectorized<uint16_t>::vtype;
+  typeX vec0 = vec_unpackh(x.vec0());
+  typeX vec1 = vec_unpackl(x.vec0());
+  typeX vec2 = vec_unpackh(x.vec1());
+  typeX vec3 = vec_unpackl(x.vec1());
+  // auto mask = Vectorized<uint16_t>(0xFF);
+  // vec0 = vec0 & mask;
+  // vec1 = vec1 & mask;
+  // vec2 = vec2 & mask;
+  // vec3 = vec3 & mask;
+  return {
+      cast_zvector<uint16_t, int16_t>(Vectorized<uint16_t>{vec0, vec1}),
+      cast_zvector<uint16_t, int16_t>(Vectorized<uint16_t>{vec2, vec3})};
+}
+
+template <typename T, typename V = typename pack_type<T>::type>
+Vectorized<V> pack(const Vectorized<T>& first, const Vectorized<T>& second) {
+  auto vec0 = vec_packs(first.vec0(), first.vec1());
+  auto vec1 = vec_packs(second.vec0(), second.vec1());
+  return Vectorized<V>{vec0, vec1};
+}
+
+template <>
+Vectorized<uint8_t> pack(
+    const Vectorized<int16_t>& first,
+    const Vectorized<int16_t>& second) {
+  auto vec0 = vec_packsu(first.vec0(), first.vec1());
+  auto vec1 = vec_packsu(second.vec0(), second.vec1());
+  return Vectorized<uint8_t>{vec0, vec1};
+}
+
+} /* unnamed namespace */
+
+//////////////////////////////////QUANT///////////////////////////////////////////
+template <typename T>
+struct Vectorized<T, std::enable_if_t<is_zarch_implemented_quant<T>()>> {
+ public:
+  using value_type = typename T::underlying;
+  using vtype = ZSimdVect<value_type>;
+  using vmaskType = ZSimdVectBinary<value_type>;
+  using vinner_type = Vectorized<value_type>;
+  using size_type = int;
+
+  static constexpr size_type size() {
+    return VECTOR_WIDTH / sizeof(value_type);
+  }
+
+  static constexpr size_t float_num_vecs() {
+    return size() / Vectorized<float>::size();
+  }
+  static constexpr int int_num_vecs() {
+    return float_num_vecs();
+  }
+  using float_vec_return_type = std::array<Vectorized<float>, float_num_vecs()>;
+  using int_vec_return_type =
+      std::array<Vectorized<c10::qint32>, int_num_vecs()>;
+
+ private:
+  vinner_type _vec;
+
+ public:
+  Vectorized() {}
+
+  explicit C10_ALWAYS_INLINE Vectorized(vinner_type v) : _vec{v} {}
+  Vectorized(const T& val) : _vec(val.val_) {}
+
+  C10_ALWAYS_INLINE const vinner_type& vec() const {
+    return _vec;
+  }
+
+  static Vectorized<T> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    return Vectorized<T>{vinner_type::loadu(ptr, count)};
+  }
+
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    _vec.store(ptr, count);
+  }
+
+  Vectorized<T> relu(Vectorized<T> zero_point) const {
+    return Vectorized<T>{_vec.maximum(zero_point._vec)};
+  }
+
+  Vectorized<T> relu6(Vectorized<T> zero_point, Vectorized<T> q_six) const {
+    auto ret_max = _vec.maximum(zero_point._vec);
+    auto ret_min = ret_max.minimum(q_six._vec);
+    return Vectorized<T>{ret_min};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 1, int> = 0>
+  int_vec_return_type widening_subtract(Vectorized<T> b) const {
+    return {*this - b};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 1, int> = 0>
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point,
+      Vectorized<float> scale_zp_premul) const {
+    auto float_val = convert_to_float(_vec);
+    return {fmadd(scale, float_val, scale_zp_premul)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 1, int> = 0>
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point) const {
+    auto float_val = convert_to_float(_vec);
+    return {(float_val - zero_point) * scale};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 1, int> = 0>
+  static Vectorized<T> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    Vectorized<float> vecf = rhs[0];
+    vecf = vecf * Vectorized<float>(inverse_scale);
+    vecf = vecf.rint() + Vectorized<float>((float)(zero_point));
+    auto veci = convert_to_int(vecf);
+
+    return Vectorized<T>{veci};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::int_num_vecs() == 1, int> = 0>
+  static Vectorized<T> requantize_from_int(
+      const int_vec_return_type& inp,
+      float multiplier,
+      int32_t zero_point) {
+    Vectorized<T> vi = inp[0];
+    auto vecf = convert_to_float(vi.vec());
+    vecf = vecf * Vectorized<float>(multiplier);
+    vecf = vecf.rint();
+    auto veci = convert_to_int(vecf) + Vectorized<int>(zero_point);
+
+    return Vectorized<T>{veci};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::int_num_vecs() == 4, int> = 0>
+  int_vec_return_type widening_subtract(Vectorized<U> b) const {
+    auto ret16 = unpack(_vec);
+    auto ret16B = unpack(b.vec());
+    auto ret32_0 = unpack(ret16.first);
+    auto ret32_1 = unpack(ret16.second);
+    auto ret32B_0 = unpack(ret16B.first);
+    auto ret32B_1 = unpack(ret16B.second);
+
+    return {
+        Vectorized<c10::qint32>(ret32_0.first - ret32B_0.first),
+        Vectorized<c10::qint32>(ret32_0.second - ret32B_0.second),
+        Vectorized<c10::qint32>(ret32_1.first - ret32B_1.first),
+        Vectorized<c10::qint32>(ret32_1.second - ret32B_1.second)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 4, int> = 0>
+  float_vec_return_type C10_ALWAYS_INLINE dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point,
+      Vectorized<float> scale_zp_premul) const {
+    // unpacking unsigned as signed
+    auto ret16 = unpack(_vec);
+    auto ret32_0 = unpack(ret16.first);
+    auto ret32_1 = unpack(ret16.second);
+
+    auto vecf_0 = convert_to_float(ret32_0.first);
+    auto vecf_1 = convert_to_float(ret32_0.second);
+
+    auto vecf_2 = convert_to_float(ret32_1.first);
+    auto vecf_3 = convert_to_float(ret32_1.second);
+    return {
+        fmadd(scale, vecf_0, scale_zp_premul),
+        fmadd(scale, vecf_1, scale_zp_premul),
+        fmadd(scale, vecf_2, scale_zp_premul),
+        fmadd(scale, vecf_3, scale_zp_premul)};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 4, int> = 0>
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point) const {
+    // unpacking unsigned as signed
+    auto ret16 = unpack(_vec);
+    auto ret32_0 = unpack(ret16.first);
+    auto ret32_1 = unpack(ret16.second);
+
+    auto vecf_0 = convert_to_float(ret32_0.first);
+    auto vecf_1 = convert_to_float(ret32_0.second);
+
+    auto vecf_2 = convert_to_float(ret32_1.first);
+    auto vecf_3 = convert_to_float(ret32_1.second);
+
+    return {
+        (vecf_0 - zero_point) * scale,
+        (vecf_1 - zero_point) * scale,
+        (vecf_2 - zero_point) * scale,
+        (vecf_3 - zero_point) * scale };
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::float_num_vecs() == 4, int> = 0>
+  static Vectorized<T> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    auto vec_inverse = Vectorized<float>(inverse_scale);
+    auto vec_zero_point = Vectorized<float>((float)zero_point);
+
+    auto vecf0 = rhs[0];
+    auto vecf2 = rhs[1];
+    auto vecf4 = rhs[2];
+    auto vecf6 = rhs[3];
+
+    vecf0 = vecf0 * vec_inverse;
+    vecf2 = vecf2 * vec_inverse;
+    vecf4 = vecf4 * vec_inverse;
+    vecf6 = vecf6 * vec_inverse;
+
+    vecf0 = vecf0.rint() + vec_zero_point;
+    vecf2 = vecf2.rint() + vec_zero_point;
+    vecf4 = vecf4.rint() + vec_zero_point;
+    vecf6 = vecf6.rint() + vec_zero_point;
+
+    auto veci0 = convert_to_int(vecf0);
+    auto veci2 = convert_to_int(vecf2);
+    auto veci4 = convert_to_int(vecf4);
+    auto veci6 = convert_to_int(vecf6);
+
+    auto vecshi0 = pack(veci0, veci2);
+    auto vecshi2 = pack(veci4, veci6);
+    auto ret = pack<int16_t, typename U::underlying>(vecshi0, vecshi2);
+
+    return Vectorized<T>{ret};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<Vectorized<U>::int_num_vecs() == 4, int> = 0>
+  static Vectorized<U> requantize_from_int(
+      const int_vec_return_type& inp,
+      float multiplier,
+      int32_t zero_point) {
+    Vectorized<float> vec_multiplier = Vectorized<float>(multiplier);
+    Vectorized<int32_t> vec_zero_point = Vectorized<int32_t>(zero_point);
+
+    Vectorized<c10::qint32> vi0 = inp[0];
+    Vectorized<c10::qint32> vi1 = inp[1];
+    Vectorized<c10::qint32> vi2 = inp[2];
+    Vectorized<c10::qint32> vi3 = inp[3];
+
+    auto vecf0 = convert_to_float(vi0.vec());
+    auto vecf2 = convert_to_float(vi1.vec());
+
+    auto vecf4 = convert_to_float(vi2.vec());
+    auto vecf6 = convert_to_float(vi3.vec());
+
+    vecf0 = vecf0 * vec_multiplier;
+    vecf2 = vecf2 * vec_multiplier;
+
+    vecf4 = vecf4 * vec_multiplier;
+    vecf6 = vecf6 * vec_multiplier;
+
+    vecf0 = vecf0.rint();
+    vecf2 = vecf2.rint();
+    vecf4 = vecf4.rint();
+    vecf6 = vecf6.rint();
+
+    auto veci0 = convert_to_int(vecf0);
+    auto veci2 = convert_to_int(vecf2);
+    auto veci4 = convert_to_int(vecf4);
+    auto veci6 = convert_to_int(vecf6);
+
+    veci0 = veci0 + vec_zero_point;
+    veci2 = veci2 + vec_zero_point;
+
+    veci4 = veci4 + vec_zero_point;
+    veci6 = veci6 + vec_zero_point;
+
+    auto vecshi0 = pack<int32_t, int16_t>(veci0, veci2);
+    auto vecshi2 = pack<int32_t, int16_t>(veci4, veci6);
+
+    auto ret = pack<int16_t, typename U::underlying>(vecshi0, vecshi2);
+
+    return Vectorized<U>{ret};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator+(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec + other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator-(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec - other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator*(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec * other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator/(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec / other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator&(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec & other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator|(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec | other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator^(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec ^ other._vec};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator==(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec == other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator!=(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec != other._vec};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator>(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec > other._vec};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator>=(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec >= other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator<(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec < other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator<=(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec <= other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE eq(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.eq(other._vec)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE ne(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.ne(other._vec)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE gt(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.gt(other._vec)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE ge(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.ge(other._vec)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE lt(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.lt(other._vec)};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE le(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.le(other._vec)};
+  }
+
+  Vectorized<T> clamp_min(const Vectorized<T>& min) const {
+    return Vectorized<T>{_vec.clamp_min(min._vec)};
+  }
+
+  Vectorized<T> clamp_max(const Vectorized<T>& max) const {
+    return Vectorized<T>{_vec.clamp_max(max._vec)};
+  }
+
+  Vectorized<T> minimum(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.minimum(other._vec)};
+  }
+
+  Vectorized<T> maximum(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec.maximum(other._vec)};
+  }
+};
+
+DEFINE_CLAMP_MAXMIN_FUNCS(c10::quint8)
+DEFINE_CLAMP_MAXMIN_FUNCS(c10::qint8)
+DEFINE_CLAMP_MAXMIN_FUNCS(c10::qint32)
+
+template <typename U = float>
+constexpr auto real_mask() {
+  return (ZSimdVect<U>)ZSimdVectBinary<float>{0xFFFFFFFF, 0, 0xFFFFFFFF, 0};
+}
+
+template <>
+constexpr auto real_mask<double>() {
+  return (ZSimdVect<double>)ZSimdVectBinary<double>{0xFFFFFFFFFFFFFFFF, 0};
+}
+
+template <typename U = float>
+constexpr auto image_mask() {
+  return (ZSimdVect<U>)ZSimdVectBinary<U>{0, 0xFFFFFFFF, 0, 0xFFFFFFFF};
+}
+
+template <>
+constexpr auto image_mask<double>() {
+  return (ZSimdVect<double>)ZSimdVectBinary<double>{0, 0xFFFFFFFFFFFFFFFF};
+}
+
+template <typename U = float>
+constexpr auto rsign_mask() {
+  return ZSimdVect<U>{-0.f, 0.f, -0.f, 0.f};
+}
+
+template <>
+constexpr auto rsign_mask<double>() {
+  return ZSimdVect<double>{-0.0, 0.f};
+}
+
+template <typename U = float>
+constexpr auto isign_mask() {
+  return ZSimdVect<U>{0.0, -0.f, 0.0, -0.f};
+}
+
+template <>
+constexpr auto isign_mask<double>() {
+  return ZSimdVect<double>{0.0, -0.0};
+}
+
+template <typename U = float>
+constexpr auto image_one() {
+  return ZSimdVect<U>{0, 1.f, 0, 1.f};
+}
+
+template <>
+constexpr auto image_one<double>() {
+  return ZSimdVect<double>{0.0, 1.0};
+}
+
+template <typename U = float>
+constexpr auto pi_half() {
+  return ZSimdVect<U>{(float)(M_PI / 2.0), 0.f, (float)(M_PI / 2.0), 0.f};
+}
+
+template <>
+constexpr auto pi_half<double>() {
+  return ZSimdVect<double>{M_PI / 2.0, 0.0};
+}
+
+template <typename U = float>
+constexpr auto image_half() {
+  return ZSimdVect<U>{0, 0.5f, 0, 0.5f};
+}
+
+template <>
+constexpr auto image_half<double>() {
+  return ZSimdVect<double>{0.0, 0.5};
+}
+
+template <typename U>
+constexpr U log2e_inv() {
+  return static_cast<U>(1.4426950408889634);
+}
+
+template <typename U>
+constexpr U log10e_inv() {
+  return static_cast<U>(0.43429448190325176);
+}
+
+template <typename T>
+struct Vectorized<T, std::enable_if_t<is_zarch_implemented_complex<T>()>> {
+ public:
+  using underline_type = decltype(std::declval<T>().imag());
+  using value_type = T;
+  using vtype = ZSimdVect<underline_type>;
+  using vmaskType = ZSimdVectBinary<underline_type>;
+  using vinner_type = Vectorized<underline_type>;
+  using size_type = int;
+  using vinner_data = typename Vectorized<underline_type>::vinner_data;
+
+  static constexpr size_type size() {
+    return VECTOR_WIDTH / sizeof(value_type);
+  }
+
+ private:
+  vinner_type _vec;
+
+ public:
+  Vectorized() {}
+
+  C10_ALWAYS_INLINE Vectorized(const vinner_data &v) : _vec{v.first, v.second} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 16), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s1, T s2)
+      : _vec{s1.real(), s1.imag(), s2.real(), s2.imag()} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 8), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s1, T s2, T s3, T s4)
+      : _vec{
+            s1.real(),
+            s1.imag(),
+            s2.real(),
+            s2.imag(),
+            s3.real(),
+            s3.imag(),
+            s4.real(),
+            s4.imag()} {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 16), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s) : Vectorized<T>(s, s) {}
+
+  template <typename U = T, std::enable_if_t<(sizeof(U) == 8), int> = 0>
+  C10_ALWAYS_INLINE Vectorized(T s) : Vectorized<T>(s, s, s, s) {}
+
+  C10_ALWAYS_INLINE operator vinner_type() const {
+    return _vec;
+  }
+
+  C10_ALWAYS_INLINE const vinner_type& vec() const {
+    return _vec;
+  }
+
+  C10_ALWAYS_INLINE operator vinner_data() const {
+    return _vec.data();
+  }
+
+  C10_ALWAYS_INLINE vinner_data data() const {
+    return _vec.data();
+  }
+
+  static Vectorized<T> C10_ALWAYS_INLINE
+  loadu(const void* ptr, int count = size()) {
+    return Vectorized<T>{vinner_type::loadu(ptr, 2 * count)};
+  }
+
+  void C10_ALWAYS_INLINE store(void* ptr, int count = size()) const {
+    return _vec.store(ptr, 2 * count);
+  }
+
+  static Vectorized<T> blendv(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      const Vectorized<T>& mask) {
+    // convert std::complex<V> index mask to V index mask: xy -> xxyy
+    vinner_type vmask = mask.vec();
+    auto mask_complex = vinner_type(
+        vec_mergeh(vmask.vec0(), vmask.vec0()),
+        vec_mergeh(vmask.vec1(), vmask.vec1()));
+    return Vectorized<T>{vinner_type::blendv(a.vec(), b.vec(), mask_complex)};
+  }
+
+  template <int64_t mask>
+  static auto C10_ALWAYS_INLINE
+  blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    constexpr int mask_complex = maskForComplex<sizeof(T)>(mask);
+    return Vectorized<T>{
+        vinner_type::template blend<mask_complex>(a.vec(), b.vec())};
+  }
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 16, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(base, base + step);
+  }
+
+  template <typename step_t, typename U = T>
+  static std::enable_if_t<sizeof(U) == 8, Vectorized<T>> arange(
+      T base = 0,
+      step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+        base,
+        base + step,
+        base + value_type(2) * step,
+        base + value_type(3) * step);
+  }
+
+  template <int16_t Z, int16_t C>
+  static inline std::enable_if_t<(Z >= C), Vectorized<T>> set_inner(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count) {
+    return b;
+  }
+
+  template <int16_t Z, int16_t C>
+  static inline std::enable_if_t<(Z < C), Vectorized<T>> set_inner(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count) {
+    if (count == Z)
+      return blend<allbitset(Z)>(a, b);
+    else
+      return set_inner<Z + 1, C>(a, b, count);
+  }
+
+  static Vectorized<T> set(
+      const Vectorized<T>& a,
+      const Vectorized<T>& b,
+      size_t count = size()) {
+    if (count == 0)
+      return a;
+    return set_inner<1, size()>(a, b, count);
+  }
+
+  const T& operator[](int idx) const = delete;
+  T& operator[](int idx) = delete;
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<float>>::value, int> = 0>
+  Vectorized<T> mapOrdinary(T (*const f)(const T&)) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    return Vectorized<T>{
+        f(T(v0[0], v0[1])),
+        f(T(v0[2], v0[3])),
+        f(T(v1[0], v1[1])),
+        f(T(v1[2], v1[3]))};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<double>>::value, int> = 0>
+  Vectorized<U> mapOrdinary(T (*const f)(const T&)) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    return Vectorized<T>{f(T(v0[0], v0[1])), f(T(v1[0], v1[1]))};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<float>>::value, int> = 0>
+  Vectorized<T> mapOrdinary(T (*const f)(T)) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    return Vectorized<T>{
+        f(T(v0[0], v0[1])),
+        f(T(v0[2], v0[3])),
+        f(T(v1[0], v1[1])),
+        f(T(v1[2], v1[3]))};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<double>>::value, int> = 0>
+  Vectorized<T> mapOrdinary(T (*const f)(T)) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    return Vectorized<T>{f(T(v0[0], v0[1])), f(T(v1[0], v1[1]))};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<float>>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(
+      T (*const f)(const T&, const T&),
+      const Vectorized<T>& b) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    auto bvec = b.vec();
+    auto b0 = bvec.vec0();
+    auto b1 = bvec.vec1();
+    T a00 = f(T(v0[0], v0[1]), T(b0[0], b0[1]));
+    T a01 = f(T(v0[2], v0[3]), T(b0[2], b0[3]));
+    T a02 = f(T(v1[0], v1[1]), T(b1[0], b1[1]));
+    T a03 = f(T(v1[2], v1[3]), T(b1[2], b1[3]));
+    return Vectorized<T>{a00, a01, a02, a03};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<double>>::value, int> = 0>
+  inline Vectorized<T> mapOrdinary(
+      T (*const f)(const T&, const T&),
+      const Vectorized<T>& b) const {
+    auto v0 = _vec.vec0();
+    auto v1 = _vec.vec1();
+    auto bvec = b.vec();
+    auto b0 = bvec.vec0();
+    auto b1 = bvec.vec1();
+    U a00 = f(U(v0[0], v0[1]), U(b0[0], b0[1]));
+    U a01 = f(U(v1[0], v1[1]), U(b1[0], b1[1]));
+    return Vectorized<T>{a00, a01};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator+(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec + other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator-(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec - other._vec};
+  }
+
+  Vectorized<T> inline operator*(const Vectorized<T>& b) const {
+    //(a + bi)  * (c + di) = (ac - bd) + (ad + bc)i
+    vinner_type bv = b.vec();
+#if !defined(ZVECTOR_SIMULATE_X86_MULT)
+    // this is more z arch friendly than simulating horizontal from x86
+    vinner_type vi = bv.mergeo();
+    vinner_type vr = bv.mergee();
+    vi = vi ^ rsign_mask<underline_type>();
+    vinner_type ret = _vec * vr;
+    vinner_type vx_swapped = _vec.swapped();
+    ret = fmadd(vx_swapped, vi, ret);
+#else
+    vinner_type ac_bd = _vec * b;
+    vinner_type d_c = bv.swapped();
+    d_c = d_c ^ isign_mask<underline_type>();
+    vinner_type ad_bc = _vec * d_c;
+    vinner_type ret = vinner_type::horizontal_sub_perm(ac_bd, ad_bc);
+#endif
+    return Vectorized<T>{ret};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<float>>::value, int> = 0>
+  static typename Vectorized<T>::vinner_type real_neg(const typename Vectorized<T>::vinner_type &a)
+  {
+    const auto swap_mask = ZSimdVectBinary<uint8_t>{
+      0, 1, 2, 3, 20, 21, 22, 23, 8, 9, 10, 11, 28, 29, 30, 31};
+
+    auto a_neg = a.neg();
+    vtype v0 = vec_perm(a_neg.vec0(), a.vec0(), swap_mask);
+    vtype v1 = vec_perm(a_neg.vec1(), a.vec1(), swap_mask);
+    return {v0, v1};
+  }
+
+  template <
+      typename U = T,
+      std::enable_if_t<std::is_same<U, c10::complex<double>>::value, int> = 0>
+  static typename Vectorized<T>::vinner_type real_neg(const typename Vectorized<T>::vinner_type &a)
+  {
+    auto a_neg = a.neg();
+    auto v0 = vec_permi(a_neg.vec0(), a.vec0(), 1);
+    auto v1 = vec_permi(a_neg.vec1(), a.vec1(), 1);
+    return { v0, v1 };
+  }
+
+  Vectorized<T> inline operator/(const Vectorized<T>& b) const {
+    // Unfortunately, this breaks some tests
+    // Implement it like it's done for avx2
+    auto fabs_cd = b.vec().abs();                               // |c|    |d|
+    auto fabs_dc = fabs_cd.swapped();                           // |d|    |c|
+    auto scale = vinner_type {1.0} / maximum(fabs_cd, fabs_dc); // 1/sc     1/sc
+    auto a2 = vec() * scale;                                    // a/sc     b/sc
+    auto b2 = b.vec() * scale;                                  // c/sc     d/sc
+    auto acbd2 = a2 * b2;                                       // ac/sc^2  bd/sc^2
+
+    auto dc2 = b2.swapped();                                    // d/sc         c/sc
+    dc2 = Vectorized<T>::real_neg(dc2);                         // -d/|c,d|        c/sc
+    auto adbc2 = a2 * dc2;                                      // -ad/sc^2      bc/sc^2
+    auto sum1 = acbd2 + acbd2.swapped();                        // (ac+bd)/sc^2  (ac+bd)/sc^2
+    auto sum2 = adbc2 + adbc2.swapped();                        // (bc-ad)/sc^2  (bc-ad)/sc^2
+    auto res2 = vinner_type::mergee(sum1, sum2);                // (ac+bd)/sc^2  (bc-ad)/sc^2
+
+    // get the denominator
+    auto denom2 = Vectorized<T>{b2}.abs_2_();                   // (c^2+d^2)/sc^2   (c^2+d^2)/sc^2
+    res2 = res2 / denom2;
+    return Vectorized<T>{ res2 };
+  }
+
+  Vectorized<T> angle2_() const {
+    auto b_a = _vec.swapped(); // b        a
+    return Vectorized<T>{_vec.atan2(b_a).swapped()};
+  }
+
+  Vectorized<T> angle() const {
+    return angle2_().real();
+  }
+
+  Vectorized<T> atan() const {
+    // atan(x) = i/2 * ln((i + z)/(i - z))
+    auto ione = Vectorized<T>{vinner_type(image_one<underline_type>())};
+    auto sum = ione + *this;
+    auto sub = ione - *this;
+    auto ln = (sum / sub).log(); // ln((i + z)/(i - z))
+    return ln *
+        Vectorized<T>{vinner_type(image_half<underline_type>())}; // i/2*ln()
+  }
+
+  Vectorized<T> atanh() const {
+    return mapOrdinary(std::atanh);
+  }
+
+  Vectorized<T> asin() const {
+    // asin(x)
+    // = -i*ln(iz + sqrt(1 -z^2))
+    // = -i*ln((ai - b) + sqrt(1 - (a + bi)*(a + bi)))
+    // = -i*ln((-b + ai) + sqrt(1 - (a**2 - b**2) - 2*abi))
+#if 1
+    vinner_type cnj = conj().vec();
+    vinner_type b_a = cnj.swapped();
+    vinner_type ab = cnj * b_a;
+    vinner_type im = ab + ab;
+    vinner_type val_2 = _vec * _vec;
+    vinner_type val_2_swapped = val_2.swapped();
+    vinner_type re = vinner_type::horizontal_sub_perm(val_2, val_2_swapped);
+    re = vinner_type(static_cast<underline_type>(1)) - re;
+    constexpr int blend_mask =
+        blend_choice<T>(); // 0x0A for complex<double> , 0xAA for complex<float>
+    vinner_type blendx = vinner_type::template blend<blend_mask>(re, im);
+    auto root = Vectorized<T>(blendx).sqrt();
+    auto ln = Vectorized<T>(Vectorized<T>(b_a) + root).log();
+    return Vectorized<T>(ln.vec().swapped()).conj();
+#else
+    return mapOrdinary(std::asin);
+#endif
+  }
+
+  Vectorized<T> acos() const {
+    // acos(x) = pi/2 - asin(x)
+    return Vectorized<T>(vinner_type(pi_half<underline_type>())) - asin();
+  }
+
+  Vectorized<T> sin() const {
+    return mapOrdinary(std::sin);
+  }
+  Vectorized<T> sinh() const {
+    return mapOrdinary(std::sinh);
+  }
+  Vectorized<T> cos() const {
+    return mapOrdinary(std::cos);
+  }
+  Vectorized<T> cosh() const {
+    return mapOrdinary(std::cosh);
+  }
+  Vectorized<T> ceil() const {
+    return Vectorized<T>{_vec.ceil()};
+  }
+  Vectorized<T> floor() const {
+    return Vectorized<T>{_vec.floor()};
+  }
+  Vectorized<T> neg() const {
+    return Vectorized<T>(_vec.neg());
+  }
+  Vectorized<T> round() const {
+    return Vectorized<T>{_vec.round()};
+  }
+  Vectorized<T> tan() const {
+    return mapOrdinary(std::tan);
+  }
+  Vectorized<T> tanh() const {
+    return mapOrdinary(std::tanh);
+  }
+  Vectorized<T> trunc() const {
+    return Vectorized<T>{_vec.trunc()};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator&(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec & other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator|(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec | other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator^(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec ^ other._vec};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE operator==(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec == other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE operator!=(const Vectorized<T>& other) const {
+    return Vectorized<T>{_vec != other._vec};
+  }
+
+  Vectorized<T> C10_ALWAYS_INLINE eq(const Vectorized<T>& other) const {
+    auto eq = _vec.eq(other._vec);  // compares real and imag individually
+    // If both real numbers and imag numbers are equal, then the complex numbers are equal
+    auto real = eq & vinner_type(real_mask<underline_type>());
+    auto imag = (eq & vinner_type(image_mask<underline_type>())).swapped();
+    return Vectorized<T>{real & imag};
+  }
+  Vectorized<T> C10_ALWAYS_INLINE ne(const Vectorized<T>& other) const {
+    auto ne = _vec.ne(other._vec);  // compares real and imag individually
+    // If either real numbers or imag numbers are not equal, then the complex numbers are not equal
+    auto real = ne & vinner_type(real_mask<underline_type>());
+    auto imag = (ne & vinner_type(image_mask<underline_type>())).swapped();
+    return Vectorized<T>{real | imag};
+  }
+
+  Vectorized<T> real() const {
+    return Vectorized<T>(_vec & vinner_type(real_mask<underline_type>()));
+  }
+  Vectorized<T> imag_() const {
+    return Vectorized<T>(_vec & vinner_type(image_mask<underline_type>()));
+  }
+  Vectorized<T> imag() const {
+    return Vectorized<T>{
+        (_vec & vinner_type(image_mask<underline_type>())).swapped()};
+  }
+
+  Vectorized<T> conj() const {
+    return Vectorized<T>(_vec ^ vinner_type(isign_mask<underline_type>()));
+  }
+
+  vinner_data abs_2_() const {
+    auto a = _vec * _vec;
+    a = a + a.swapped();
+    return a.mergee().data();
+  }
+
+  static T abs_helper(const T &value)
+  {
+    return T(std::abs(value));
+  }
+
+  Vectorized<T> abs() const {
+    return mapOrdinary(abs_helper);
+  }
+
+  Vectorized<T> exp() const {
+    return mapOrdinary(std::exp);
+  }
+
+  Vectorized<T> exp2() const {
+    return mapOrdinary(exp2_impl);
+  }
+
+  Vectorized<T> expm1() const {
+    return mapOrdinary(std::expm1);
+  }
+
+  Vectorized<T> log() const {
+    return mapOrdinary(std::log);
+  }
+
+  Vectorized<T> log2() const {
+    // log2eB_inv
+    auto ret = log();
+    return Vectorized<T>{ret._vec * vinner_type(log2e_inv<underline_type>())};
+  }
+
+  Vectorized<T> log10() const {
+    auto ret = log();
+    return Vectorized<T>{ret._vec * vinner_type(log10e_inv<underline_type>())};
+  }
+
+  Vectorized<T> log1p() const {
+    return mapOrdinary(std::log1p);
+  }
+
+  Vectorized<T> sgn() const {
+    return mapOrdinary(at::native::sgn_impl);
+  }
+
+  Vectorized<T> pow(const Vectorized<T>& exp) const {
+    return mapOrdinary(std::pow, exp);
+  }
+
+  Vectorized<T> sqrt() const {
+    return mapOrdinary(std::sqrt);
+  }
+
+  Vectorized<T> reciprocal() const {
+    // re + im*i = (a + bi)  / (c + di)
+    // re = (ac + bd)/abs_2() = c/abs_2()
+    // im = (bc - ad)/abs_2() = d/abs_2()
+    vinner_type c_d = _vec ^ vinner_type(isign_mask<underline_type>());
+    vinner_type abs = abs_2_();
+    return Vectorized<T>{c_d / abs};
+  }
+
+  Vectorized<T> rsqrt() const {
+    return sqrt().reciprocal();
+  }
+
+  Vectorized<T> operator<(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> operator<=(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> operator>(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> operator>=(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> lt(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> le(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> gt(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<T> ge(const Vectorized<T>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+};
+
+template <typename T, std::enable_if_t<(sizeof(T) == 8), int> = 0>
+std::pair<Vectorized<T>, Vectorized<T>> inline inner_interleave2(
+    const Vectorized<T>& a,
+    const Vectorized<T>& b) {
+  // inputs:
+  //   a      = {a0, a1, a2, a3}
+  //   b      = {b0, b1, b2, b3}
+  using vtype = typename Vectorized<T>::vtype;
+  vtype ab00 = vec_permi(a.vec0(), b.vec0(), 0);
+  vtype ab11 = vec_permi(a.vec0(), b.vec0(), 3);
+  vtype ab2_00 = vec_permi(a.vec1(), b.vec1(), 0);
+  vtype ab2_11 = vec_permi(a.vec1(), b.vec1(), 3);
+  //   return {a0, b0, a1, b1}
+  //          {a2, b2, a3, b3}
+  return std::make_pair(
+      Vectorized<T>{ab00, ab11}, Vectorized<T>{ab2_00, ab2_11});
+}
+
+template <typename T, std::enable_if_t<(sizeof(T) == 8), int> = 0>
+std::pair<Vectorized<T>, Vectorized<T>> inline inner_deinterleave2(
+    const Vectorized<T>& a,
+    const Vectorized<T>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1}
+  //   b = {a2, b2, a3, b3}
+  using vtype = typename Vectorized<T>::vtype;
+  vtype aa01 = vec_permi(a.vec0(), a.vec1(), 0);
+  vtype aa23 = vec_permi(b.vec0(), b.vec1(), 0);
+
+  vtype bb_01 = vec_permi(a.vec0(), a.vec1(), 3);
+  vtype bb_23 = vec_permi(b.vec0(), b.vec1(), 3);
+
+  // swap lanes:
+  //   return {a0, a1, a2, a3}
+  //          {b0, b1, b2, b3}
+  return std::make_pair(Vectorized<T>{aa01, aa23}, Vectorized<T>{bb_01, bb_23});
+}
+
+template <typename T, std::enable_if_t<(sizeof(T) == 4), int> = 0>
+std::pair<Vectorized<T>, Vectorized<T>> inline inner_interleave2(
+    const Vectorized<T>& a,
+    const Vectorized<T>& b) {
+  // inputs:
+  //   a = {a0, a1, a2, a3,, a4, a5, a6, a7}
+  //   b = {b0, b1, b2, b3,, b4, b5, b6, b7}
+  using vtype = typename Vectorized<T>::vtype;
+  vtype ab0011 = vec_mergeh(a.vec0(), b.vec0());
+  vtype ab2233 = vec_mergel(a.vec0(), b.vec0());
+
+  vtype ab2_0011 = vec_mergeh(a.vec1(), b.vec1());
+  vtype ab2_2233 = vec_mergel(a.vec1(), b.vec1());
+  // group cols crossing lanes:
+  //   return {a0, b0, a1, b1,, a2, b2, a3, b3}
+  //          {a4, b4, a5, b5,, a6, b6, a7, b7}
+
+  return std::make_pair(
+      Vectorized<T>{ab0011, ab2233}, Vectorized<T>{ab2_0011, ab2_2233});
+}
+
+template <typename T, std::enable_if_t<(sizeof(T) == 4), int> = 0>
+std::pair<Vectorized<T>, Vectorized<T>> inline inner_deinterleave2(
+    const Vectorized<T>& a,
+    const Vectorized<T>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1,, a2, b2, a3, b3}
+  //   b = {a4, b4, a5, b5,, a6, b6, a7, b7}
+  using vtype = typename Vectorized<T>::vtype;
+  // {a0,a2,b0,b2} {a1,a3,b1,b3}
+  vtype a0a2b0b2 = vec_mergeh(a.vec0(), a.vec1());
+  vtype a1a3b1b3 = vec_mergel(a.vec0(), a.vec1());
+
+  vtype aa0123 = vec_mergeh(a0a2b0b2, a1a3b1b3);
+  vtype bb0123 = vec_mergel(a0a2b0b2, a1a3b1b3);
+
+  vtype a0a2b0b2_2 = vec_mergeh(b.vec0(), b.vec1());
+  vtype a1a3b1b3_2 = vec_mergel(b.vec0(), b.vec1());
+
+  vtype aa0123_2 = vec_mergeh(a0a2b0b2_2, a1a3b1b3_2);
+  vtype bb0123_2 = vec_mergel(a0a2b0b2_2, a1a3b1b3_2);
+
+  // it could be done with vec_perm ,too
+  // swap lanes:
+  //   return {a0, a1, a2, a3,, a4, a5, a6, a7}
+  //          {b0, b1, b2, b3,, b4, b5, b6, b7}
+
+  return std::make_pair(
+      Vectorized<T>{aa0123, aa0123_2}, Vectorized<T>{bb0123, bb0123_2});
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>> inline interleave2<float>(
+    const Vectorized<float>& a,
+    const Vectorized<float>& b) {
+  return inner_interleave2<float>(a, b);
+}
+
+template <>
+std::pair<Vectorized<int32_t>, Vectorized<int32_t>> inline interleave2<int32_t>(
+    const Vectorized<int32_t>& a,
+    const Vectorized<int32_t>& b) {
+  return inner_interleave2<int32_t>(a, b);
+}
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>> inline interleave2<double>(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  return inner_interleave2<double>(a, b);
+}
+
+template <>
+std::pair<Vectorized<int64_t>, Vectorized<int64_t>> inline interleave2<int64_t>(
+    const Vectorized<int64_t>& a,
+    const Vectorized<int64_t>& b) {
+  return inner_interleave2<int64_t>(a, b);
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>> inline deinterleave2<float>(
+    const Vectorized<float>& a,
+    const Vectorized<float>& b) {
+  return inner_deinterleave2<float>(a, b);
+}
+
+template <>
+std::pair<Vectorized<int32_t>, Vectorized<int32_t>> inline deinterleave2<
+    int32_t>(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return inner_deinterleave2<int32_t>(a, b);
+}
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>> inline deinterleave2<double>(
+    const Vectorized<double>& a,
+    const Vectorized<double>& b) {
+  return inner_deinterleave2<double>(a, b);
+}
+
+template <>
+std::pair<Vectorized<int64_t>, Vectorized<int64_t>> inline deinterleave2<
+    int64_t>(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return inner_deinterleave2<int64_t>(a, b);
+}
+
+inline Vectorized<float> convert_uint8_to_float(const Vectorized<uint8_t> &src) {
+  // Note: this function only convert inputs number of elements equal to at::vec::Vectorized<float>.size()
+  // Only handle first 64 bits
+  auto vec_int = src.to_vec_float_helper();
+
+  return convert_to_float(vec_int);
+}
+
+inline Vectorized<uint8_t> convert_float_to_uint8(const Vectorized<float> &src) {
+  constexpr auto min_val = std::numeric_limits<uint8_t>::min();
+  constexpr auto max_val = std::numeric_limits<uint8_t>::max();
+
+  auto vec_int = clamp(convert_to_int(src), Vectorized<int32_t>(min_val), Vectorized<int32_t>(max_val));
+
+  return vec_int.to_vec_uint8_helper();
+}
+
+#undef DEFINE_CLAMP_MAXMIN_FUNCS
+#undef DEFINE_MAXMIN_FUNCS
+} // namespace
+} // namespace vec
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512.h

@@ -0,0 +1,263 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/cpu/vec/vec512/vec512_float.h>
+#include <ATen/cpu/vec/vec512/vec512_bfloat16.h>
+#include <ATen/cpu/vec/vec512/vec512_double.h>
+#include <ATen/cpu/vec/vec512/vec512_int.h>
+#include <ATen/cpu/vec/vec512/vec512_qint.h>
+#include <ATen/cpu/vec/vec512/vec512_complex_float.h>
+#include <ATen/cpu/vec/vec512/vec512_complex_double.h>
+
+#include <algorithm>
+#include <cstddef>
+#include <cstdint>
+#include <cstring>
+#include <ostream>
+
+namespace at {
+namespace vec {
+
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+inline std::ostream& operator<<(std::ostream& stream, const c10::qint32& val) {
+  stream << val.val_;
+  return stream;
+}
+inline std::ostream& operator<<(std::ostream& stream, const c10::qint8& val) {
+  stream << static_cast<int>(val.val_);
+  return stream;
+}
+inline std::ostream& operator<<(std::ostream& stream, const c10::quint8& val) {
+  stream << static_cast<unsigned int>(val.val_);
+  return stream;
+}
+
+template <typename T>
+std::ostream& operator<<(std::ostream& stream, const Vectorized<T>& vec) {
+  T buf[Vectorized<T>::size()];
+  vec.store(buf);
+  stream << "vec[";
+  for (int i = 0; i != Vectorized<T>::size(); i++) {
+    if (i != 0) {
+      stream << ", ";
+    }
+    stream << buf[i];
+  }
+  stream << "]";
+  return stream;
+}
+
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ CAST (AVX512) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template<>
+inline Vectorized<float> cast<float, double>(const Vectorized<double>& src) {
+  return _mm512_castpd_ps(src);
+}
+
+template<>
+inline Vectorized<double> cast<double, float>(const Vectorized<float>& src) {
+  return _mm512_castps_pd(src);
+}
+
+template<>
+inline Vectorized<float> cast<float, int32_t>(const Vectorized<int32_t>& src) {
+  return _mm512_castsi512_ps(src);
+}
+
+template<>
+inline Vectorized<double> cast<double, int64_t>(const Vectorized<int64_t>& src) {
+  return _mm512_castsi512_pd(src);
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ GATHER ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template<int64_t scale = 1>
+std::enable_if_t<scale == 1 || scale == 2 || scale == 4 || scale == 8, Vectorized<double>>
+inline gather(const double* base_addr, const Vectorized<int64_t>& vindex) {
+  return _mm512_i64gather_pd(vindex, base_addr, scale);
+}
+
+template<int64_t scale = 1>
+std::enable_if_t<scale == 1 || scale == 2 || scale == 4 || scale == 8, Vectorized<float>>
+inline gather(const float* base_addr, const Vectorized<int32_t>& vindex) {
+  return _mm512_i32gather_ps(vindex, base_addr, scale);
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ MASK GATHER ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template<int64_t scale = 1>
+std::enable_if_t<scale == 1 || scale == 2 || scale == 4 || scale == 8, Vectorized<double>>
+inline mask_gather(const Vectorized<double>& src, const double* base_addr,
+                   const Vectorized<int64_t>& vindex, Vectorized<double>& mask) {
+  auto all_ones = _mm512_castsi512_pd(_mm512_set1_epi64(0xFFFFFFFFFFFFFFFF));
+  auto mask_ = _mm512_cmp_pd_mask(all_ones, mask.values, _CMP_EQ_OQ);
+  return _mm512_mask_i64gather_pd(src, mask_, vindex, base_addr, scale);
+}
+
+template<int64_t scale = 1>
+std::enable_if_t<scale == 1 || scale == 2 || scale == 4 || scale == 8, Vectorized<float>>
+inline mask_gather(const Vectorized<float>& src, const float* base_addr,
+                   const Vectorized<int32_t>& vindex, Vectorized<float>& mask) {
+  auto all_ones = _mm512_castsi512_ps(_mm512_set1_epi32(0xFFFFFFFF));
+  auto mask_ = _mm512_cmp_ps_mask(all_ones, mask.values, _CMP_EQ_OQ);
+  return _mm512_mask_i32gather_ps(src, mask_, vindex, base_addr, scale);
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ CONVERT ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template<>
+Vectorized<int64_t>
+inline convert_to_int_of_same_size<double>(const Vectorized<double> &src) {
+  return _mm512_cvtpd_epi64(src);
+}
+
+template<>
+Vectorized<int32_t>
+inline convert_to_int_of_same_size<float>(const Vectorized<float> &src) {
+  return _mm512_cvttps_epi32(src);
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ INTERLEAVE ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>>
+inline interleave2<double>(const Vectorized<double>& a, const Vectorized<double>& b) {
+  // inputs:
+  //   a = {a0, a1, a3, a3, a4, a5, a6, a7}
+  //   b = {b0, b1, b2, b3, b4, b5, b6, b7}
+  // group cols crossing lanes:
+  //   return {a0, b0, a1, b1, a2, b2, a3, b3}
+  //          {a4, b4, a5, b5, a6, b6, a7, b7}
+  __m512i idx1 = _mm512_set_epi64(11, 3, 10, 2, 9, 1, 8, 0);
+  __m512i idx2 = _mm512_set_epi64(15, 7, 14, 6, 13, 5, 12, 4);
+  return std::make_pair(_mm512_mask_permutex2var_pd(a, 0xff, idx1, b),
+                        _mm512_mask_permutex2var_pd(a, 0xff, idx2, b));
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>>
+inline interleave2<float>(const Vectorized<float>& a, const Vectorized<float>& b) {
+  // inputs:
+  //   a = {a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15}
+  //   b = {b0, b1, b2, b3, b4, b5, b6, b7, b8, b9, b10, b11, b12, b13, b14, b15}
+  //
+  //  return:
+  //    {a0, b0, a1, b1, a2, b2, a3, b3, a4, b4, a5, b5, a6, b6, a7, b7}
+  //    {a8, b8, a9, b9, a10, b10, a11, b11, a12, b12, a13, b13, a14, b14, a15, b15}
+  __m512i idx1 = _mm512_set_epi32(23, 7, 22, 6, 21, 5, 20, 4,
+                                  19, 3, 18, 2, 17, 1, 16, 0);
+  __m512i idx2 = _mm512_set_epi32(31, 15, 30, 14, 29, 13, 28, 12,
+                                  27, 11, 26, 10, 25, 9, 24, 8);
+  return std::make_pair(_mm512_mask_permutex2var_ps(a, 0xffff, idx1, b),
+                        _mm512_mask_permutex2var_ps(a, 0xffff, idx2, b));
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ DEINTERLEAVE ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template <>
+std::pair<Vectorized<double>, Vectorized<double>>
+inline deinterleave2<double>(const Vectorized<double>& a, const Vectorized<double>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1, a2, b2, a3, b3}
+  //   b = {a4, b4, a5, b5, a6, b6, a7, b7}
+  // output:
+  //   return {a0, a1, a2, a3, a4, a5, a6, a7}
+  //          {b0, b1, b2, b3, b4, b5, b6, b7}
+  // The members of indices have been written in binary format for better understandability
+  __m512i idx1 = _mm512_set_epi64(14, 12, 10, 8, 6, 4, 2, 0);
+  __m512i idx2 = _mm512_set_epi64(15, 13, 11, 9, 7, 5, 3, 1);
+
+  return std::make_pair(_mm512_mask_permutex2var_pd(a, 0xff, idx1, b),
+                        _mm512_mask_permutex2var_pd(a, 0xff, idx2, b));
+}
+
+template <>
+std::pair<Vectorized<float>, Vectorized<float>>
+inline deinterleave2<float>(const Vectorized<float>& a, const Vectorized<float>& b) {
+  // inputs:
+  //   a = {a0, b0, a1, b1, a2, b2, a3, b3, a4, b4, a5, b5, a6, b6, a7, b7}
+  //   b = {a8, b8, a9, b9, a10, b10, a11, b11, a12, b12, a13, b13, a14, b14, a15, b15}
+  // output:
+  //   return {a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15}
+  //          {b0, b1, b2, b3, b4, b5, b6, b7, b8, b9, b10, b11, b12, b13, b14, b15}
+  __m512i idx1 = _mm512_set_epi32(30, 28, 26, 24, 22, 20, 18, 16,
+                                  14, 12, 10, 8, 6, 4, 2, 0);
+  __m512i idx2 = _mm512_set_epi32(31, 29, 27, 25, 23, 21, 19, 17,
+                                  15, 13, 11, 9, 7, 5, 3, 1);
+
+  return std::make_pair(_mm512_mask_permutex2var_ps(a, 0xffff, idx1, b),
+                        _mm512_mask_permutex2var_ps(a, 0xffff, idx2, b));
+}
+
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ FLIP ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+template<>
+inline Vectorized<float> flip(const Vectorized<float> & v) {
+  const __m512i mask = _mm512_set_epi32(0, 1, 2, 3, 4, 5, 6, 7,
+                                        8, 9, 10, 11, 12, 13, 14, 15);
+  return _mm512_permutexvar_ps(mask, v);
+}
+
+template<>
+inline Vectorized<double> flip(const Vectorized<double> & v) {
+  const __m512i mask = _mm512_set_epi64(0, 1, 2, 3, 4, 5, 6, 7);
+  return _mm512_permutexvar_pd(mask, v);
+}
+
+template<>
+inline Vectorized<int64_t> flip(const Vectorized<int64_t> & v) {
+  const __m512i mask = _mm512_set_epi64(0, 1, 2, 3, 4, 5, 6, 7);
+  return _mm512_permutexvar_epi64(mask, v);
+}
+
+template<>
+inline Vectorized<int32_t> flip(const Vectorized<int32_t> & v) {
+  const __m512i mask = _mm512_set_epi32(0, 1, 2, 3, 4, 5, 6, 7,
+                                        8, 9, 10, 11, 12, 13, 14, 15);
+  return _mm512_permutexvar_epi32(mask, v);
+}
+
+template<>
+inline Vectorized<int16_t> flip(const Vectorized<int16_t> & v) {
+  const __m512i mask = _mm512_set_epi16(
+      0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+      16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31
+  );
+  return _mm512_permutexvar_epi16(mask, v);
+}
+
+inline __m512i flip8(const __m512i & v) {
+  const __m512i mask1 = _mm512_set_epi8(
+      0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+      0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+      0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+      0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
+  );
+  const __m512i mask2 = _mm512_set_epi64(1, 0, 3, 2, 5, 4, 7, 6);
+  auto reversed_vec = _mm512_shuffle_epi8(v, mask1);
+  return _mm512_permutexvar_epi64(mask2, reversed_vec);
+}
+
+template<>
+inline Vectorized<int8_t> flip(const Vectorized<int8_t> & v) {
+  return flip8(v);
+}
+
+template<>
+inline Vectorized<uint8_t> flip(const Vectorized<uint8_t> & v) {
+  return flip8(v);
+}
+
+#endif // defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_bfloat16.h

@@ -0,0 +1,1232 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <c10/util/irange.h>
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#include <sleef.h>
+#endif
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+// bfloat16 conversion
+static inline void cvtbf16_fp32(const __m256i& a, __m512& o) {
+  o = _mm512_castsi512_ps(_mm512_slli_epi32(_mm512_cvtepu16_epi32(a), 16));
+}
+
+static inline void cvtbf16_fp32(const __m512i& a, __m512& o1, __m512& o2) {
+  __m256i lo = _mm512_extracti32x8_epi32(a, 0);
+  __m256i hi = _mm512_extracti32x8_epi32(a, 1);
+  cvtbf16_fp32(lo, o1);
+  cvtbf16_fp32(hi, o2);
+}
+
+static inline __m512i cvtfp32_bf16(const __m512& a, const __m512& b) {
+  __m512i lo = _mm512_castps_si512(a);
+  __m512i hi = _mm512_castps_si512(b);
+  __m512i nan = _mm512_set1_epi32(0xffff);
+  auto mask_lo = _mm512_cmp_ps_mask(a, a, _CMP_ORD_Q);
+  auto mask_hi = _mm512_cmp_ps_mask(b, b, _CMP_ORD_Q);
+  __m512i ones = _mm512_set1_epi32(0x1);
+  __m512i vec_bias = _mm512_set1_epi32(0x7fff);
+  // uint32_t lsb = (input >> 16) & 1;
+  auto t_lo = _mm512_and_si512(_mm512_srli_epi32(lo, 16), ones);
+  auto t_hi = _mm512_and_si512(_mm512_srli_epi32(hi, 16), ones);
+  // uint32_t rounding_bias = 0x7fff + lsb;
+  t_lo = _mm512_add_epi32(t_lo, vec_bias);
+  t_hi = _mm512_add_epi32(t_hi, vec_bias);
+  // input += rounding_bias;
+  t_lo = _mm512_add_epi32(t_lo, lo);
+  t_hi = _mm512_add_epi32(t_hi, hi);
+  // input = input >> 16;
+  t_lo = _mm512_srli_epi32(t_lo, 16);
+  t_hi = _mm512_srli_epi32(t_hi, 16);
+  // Check NaN before converting back to bf16
+  t_lo = _mm512_mask_blend_epi32(mask_lo, nan, t_lo);
+  t_hi = _mm512_mask_blend_epi32(mask_hi, nan, t_hi);
+
+  t_lo = _mm512_packus_epi32(t_lo, t_hi); // t_hi[4-7] t_lo[4-7] t_hi[0-4] t_lo[0-4]
+  __m512i idx = _mm512_set_epi64(7, 5, 3, 1, 6, 4, 2, 0);
+  return _mm512_permutexvar_epi64(idx, t_lo);
+}
+
+static inline __m512i merge_compare_result(const __m512& a, const __m512& b) {
+  __m512i lo = _mm512_castps_si512(a);
+  __m512i hi = _mm512_castps_si512(b);
+  lo = _mm512_srli_epi32(lo, 16);
+  hi = _mm512_srli_epi32(hi, 16);
+  auto out = _mm512_packus_epi32(lo, hi);
+  __m512i idx = _mm512_set_epi64(7, 5, 3, 1, 6, 4, 2, 0);
+  return _mm512_permutexvar_epi64(idx, out);
+}
+
+// float16 conversion
+static inline void cvtfp16_fp32(const __m256i& a, __m512& o) {
+  o = _mm512_cvtph_ps(a);
+}
+
+static inline void cvtfp16_fp32(const __m512i& a, __m512& o1, __m512& o2) {
+  __m256i lo = _mm512_extracti32x8_epi32(a, 0);
+  __m256i hi = _mm512_extracti32x8_epi32(a, 1);
+  cvtfp16_fp32(lo, o1);
+  cvtfp16_fp32(hi, o2);
+}
+
+static inline __m512i cvtfp32_fp16(const __m512& a, const __m512& b) {
+  __m256i lo = _mm512_cvtps_ph(
+      a, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  __m256i hi = _mm512_cvtps_ph(
+      b, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  __m512 t_lo = _mm512_castsi512_ps(_mm512_castsi256_si512(lo));
+  __m256 t_hi = _mm256_castsi256_ps(hi);
+  return _mm512_castps_si512(_mm512_insertf32x8(t_lo, t_hi, 1));
+}
+
+// dtype conversion between float16/bfloat16 and float32
+template <typename T, typename std::enable_if_t<is_reduced_floating_point_v<T>, int> = 0>
+inline void cvt_to_fp32(const __m256i& a, __m512& o);
+template <> inline void cvt_to_fp32<BFloat16>(const __m256i& a, __m512& o) {
+  cvtbf16_fp32(a, o);
+}
+template <> inline void cvt_to_fp32<Half>(const __m256i& a, __m512& o) {
+  cvtfp16_fp32(a, o);
+}
+
+template <typename T, typename std::enable_if_t<is_reduced_floating_point_v<T>, int> = 0>
+inline void cvt_to_fp32(const __m512i& a, __m512& o1, __m512& o2);
+template <> inline void cvt_to_fp32<BFloat16>(const __m512i& a, __m512& o1, __m512& o2) {
+  cvtbf16_fp32(a, o1, o2);
+}
+template <> inline void cvt_to_fp32<Half>(const __m512i& a, __m512& o1, __m512& o2) {
+  cvtfp16_fp32(a, o1, o2);
+}
+
+template <typename T, bool is_compare_op = false,
+          typename std::enable_if_t<is_reduced_floating_point_v<T>, int> = 0>
+inline __m512i cvt_from_fp32(const __m512& a, const __m512& b);
+template <> inline __m512i cvt_from_fp32<BFloat16, false>(const __m512& a, const __m512& b) {
+  return cvtfp32_bf16(a, b);
+}
+template <> inline __m512i cvt_from_fp32<BFloat16, true>(const __m512& a, const __m512& b) {
+  return merge_compare_result(a, b);
+}
+template <> inline __m512i cvt_from_fp32<Half, false>(const __m512& a, const __m512& b) {
+  return cvtfp32_fp16(a, b);
+}
+template <> inline __m512i cvt_from_fp32<Half, true>(const __m512& a, const __m512& b) {
+  return cvtfp32_fp16(a, b);
+}
+
+template <typename T>
+class Vectorized16 {
+static_assert(
+  is_reduced_floating_point_v<T>,
+  "Support only float16 and bfloat16.");
+private:
+  __m512i values;
+public:
+  using value_type = uint16_t;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 32;
+  }
+  Vectorized16() {}
+  Vectorized16(__m512i v) : values(v) {}
+  Vectorized16(T val) {
+    value_type uw = val.x;
+    values = _mm512_set1_epi16(uw);
+  }
+  Vectorized16(T val1, T val2, T val3, T val4,
+         T val5, T val6, T val7, T val8,
+         T val9, T val10, T val11, T val12,
+         T val13, T val14, T val15, T val16,
+         T val17, T val18, T val19, T val20,
+         T val21, T val22, T val23, T val24,
+         T val25, T val26, T val27, T val28,
+         T val29, T val30, T val31, T val32) {
+    values = _mm512_set_epi16(
+        val32.x, val31.x, val30.x, val29.x, val28.x, val27.x, val26.x, val25.x,
+        val24.x, val23.x, val22.x, val21.x, val20.x, val19.x, val18.x, val17.x,
+        val16.x, val15.x, val14.x, val13.x, val12.x, val11.x, val10.x, val9.x,
+        val8.x, val7.x, val6.x, val5.x, val4.x, val3.x, val2.x, val1.x);
+  }
+  operator __m512i() const {
+    return values;
+  }
+  T& operator[](int idx) = delete;
+  const T& operator[](int idx) const  = delete;
+  int zero_mask() const {
+    // returns an integer mask where all zero elements are translated to 1-bit and others are translated to 0-bit
+    return _mm512_cmpeq_epi16_mask(values, _mm512_set1_epi16(0));
+  }
+  static Vectorized<T> loadu(const void* ptr, int16_t count = size()) {
+    if (count == size())
+      return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(ptr));
+
+    __at_align__ int16_t tmp_values[size()];
+    std::memcpy(tmp_values, ptr, count * sizeof(int16_t));
+    return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(tmp_values));
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(ptr), values);
+    } else if (count > 0) {
+      __at_align__ int16_t tmp_values[size()];
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(int16_t));
+    }
+  }
+  template <int64_t mask>
+  static Vectorized<T> blend(const Vectorized<T>& a, const Vectorized<T>& b) {
+    __at_align__ int16_t tmp_values[size()];
+    a.store(tmp_values);
+    if (mask & 0x01)
+      tmp_values[0] = b.values[31];
+    if (mask & 0x02)
+      tmp_values[1] = b.values[30];
+    if (mask & 0x04)
+      tmp_values[2] = b.values[29];
+    if (mask & 0x08)
+      tmp_values[3] = b.values[28];
+    if (mask & 0x10)
+      tmp_values[4] = b.values[27];
+    if (mask & 0x20)
+      tmp_values[5] = b.values[26];
+    if (mask & 0x40)
+      tmp_values[6] = b.values[25];
+    if (mask & 0x80)
+      tmp_values[7] = b.values[24];
+    if (mask & 0x100)
+      tmp_values[8] = b.values[23];
+    if (mask & 0x200)
+      tmp_values[9] = b.values[22];
+    if (mask & 0x400)
+      tmp_values[10] = b.values[21];
+    if (mask & 0x800)
+      tmp_values[11] = b.values[20];
+    if (mask & 0x1000)
+      tmp_values[12] = b.values[19];
+    if (mask & 0x2000)
+      tmp_values[13] = b.values[18];
+    if (mask & 0x4000)
+      tmp_values[14] = b.values[17];
+    if (mask & 0x8000)
+      tmp_values[15] = b.values[16];
+    if (mask & 0x10000)
+      tmp_values[16] = b.values[15];
+    if (mask & 0x20000)
+      tmp_values[17] = b.values[14];
+    if (mask & 0x40000)
+      tmp_values[18] = b.values[13];
+    if (mask & 0x80000)
+      tmp_values[19] = b.values[12];
+    if (mask & 0x100000)
+      tmp_values[20] = b.values[11];
+    if (mask & 0x200000)
+      tmp_values[21] = b.values[10];
+    if (mask & 0x400000)
+      tmp_values[22] = b.values[9];
+    if (mask & 0x800000)
+      tmp_values[23] = b.values[8];
+    if (mask & 0x1000000)
+      tmp_values[24] = b.values[7];
+    if (mask & 0x2000000)
+      tmp_values[25] = b.values[6];
+    if (mask & 0x4000000)
+      tmp_values[26] = b.values[5];
+    if (mask & 0x8000000)
+      tmp_values[27] = b.values[4];
+    if (mask & 0x10000000)
+      tmp_values[28] = b.values[3];
+    if (mask & 0x20000000)
+      tmp_values[29] = b.values[2];
+    if (mask & 0x40000000)
+      tmp_values[30] = b.values[1];
+    if (mask & 0x80000000)
+      tmp_values[31] = b.values[0];
+    return loadu(tmp_values);
+  }
+  static Vectorized<T> blendv(const Vectorized<T>& a,
+      const Vectorized<T>& b, const Vectorized<T>& mask) {
+    auto all_ones = _mm512_set1_epi16(0xFFFF);
+    auto mask_ = _mm512_cmp_epi16_mask(mask, all_ones, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi16(mask_, a.values, b.values);
+  }
+  template<typename step_t>
+  static Vectorized<T> arange(T base = 0.f, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+      base,             base +      step, base +  2 * step, base +  3 * step,
+      base +  4 * step, base +  5 * step, base +  6 * step, base +  7 * step,
+      base +  8 * step, base +  9 * step, base + 10 * step, base + 11 * step,
+      base + 12 * step, base + 13 * step, base + 14 * step, base + 15 * step,
+      base + 16 * step, base + 17 * step, base + 18 * step, base + 19 * step,
+      base + 20 * step, base + 21 * step, base + 22 * step, base + 23 * step,
+      base + 24 * step, base + 25 * step, base + 26 * step, base + 27 * step,
+      base + 28 * step, base + 29 * step, base + 30 * step, base + 31 * step);
+  }
+  static Vectorized<T> set(const Vectorized<T>& a,
+      const Vectorized<T>& b, int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+      case 8:
+        return blend<255>(a, b);
+      case 9:
+        return blend<511>(a, b);
+      case 10:
+        return blend<1023>(a, b);
+      case 11:
+        return blend<2047>(a, b);
+      case 12:
+        return blend<4095>(a, b);
+      case 13:
+        return blend<8191>(a, b);
+      case 14:
+        return blend<16383>(a, b);
+      case 15:
+        return blend<32767>(a, b);
+      case 16:
+        return blend<65535>(a, b);
+      case 17:
+        return blend<131071>(a, b);
+      case 18:
+        return blend<262143>(a, b);
+      case 19:
+        return blend<524287>(a, b);
+      case 20:
+        return blend<1048575>(a, b);
+      case 21:
+        return blend<2097151>(a, b);
+      case 22:
+        return blend<4194303>(a, b);
+      case 23:
+        return blend<8388607>(a, b);
+      case 24:
+        return blend<16777215>(a, b);
+      case 25:
+        return blend<33554431>(a, b);
+      case 26:
+        return blend<67108863>(a, b);
+      case 27:
+        return blend<134217727>(a, b);
+      case 28:
+        return blend<268435455>(a, b);
+      case 29:
+        return blend<536870911>(a, b);
+      case 30:
+        return blend<1073741823>(a, b);
+      case 31:
+        return blend<2147483647>(a, b);
+    }
+    return b;
+  }
+  #pragma clang diagnostic push
+  #pragma clang diagnostic ignored "-Wignored-qualifiers"
+  Vectorized<T> map(const __m512 (*const vop)(__m512)) const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    const auto o1 = vop(lo);
+    const auto o2 = vop(hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> isnan() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    __mmask16 lo_mask, hi_mask;
+    __m512 zero = _mm512_set1_ps(0.0);
+    __m512i zeroi = _mm512_castps_si512(zero);
+    lo_mask = _mm512_cmp_ps_mask(lo, zero, _CMP_UNORD_Q);
+    lo = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zeroi, lo_mask, 0xFFFF'FFFF));
+    hi_mask = _mm512_cmp_ps_mask(hi, zero, _CMP_UNORD_Q);
+    hi = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zeroi, hi_mask, 0xFFFF'FFFF));
+    return merge_compare_result(lo, hi);
+  }
+  #pragma clang diagnostic pop
+  Vectorized<T> abs() const {
+    return _mm512_andnot_si512(_mm512_set1_epi16(0x8000), values);
+  }
+  Vectorized<T> angle() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto angle_lambda = [](__m512 values) {
+      const auto zero_vec = _mm512_set1_ps(0.f);
+      const auto nan_vec = _mm512_set1_ps(NAN);
+      const auto not_nan_mask = _mm512_cmp_ps_mask(values, values, _CMP_EQ_OQ);
+      const auto non_nan_mask_vec = _mm512_mask_set1_epi32(_mm512_castps_si512(zero_vec),
+                                                           not_nan_mask, 0xFFFFFFFF);
+      const auto nan_mask = _mm512_cmp_ps_mask(_mm512_castsi512_ps(non_nan_mask_vec),
+                                               zero_vec, _CMP_EQ_OQ);
+      const auto pi = _mm512_set1_ps(c10::pi<float>);
+
+      const auto neg_mask = _mm512_cmp_ps_mask(values, zero_vec, _CMP_LT_OQ);
+      auto angle = _mm512_mask_blend_ps(neg_mask, zero_vec, pi);
+      angle = _mm512_mask_blend_ps(nan_mask, angle, nan_vec);
+      return angle;
+    };
+    auto o1 = angle_lambda(lo);
+    auto o2 = angle_lambda(hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> real() const {
+    return *this;
+  }
+  Vectorized<T> imag() const {
+    return _mm512_set1_epi16(0);
+  }
+  Vectorized<T> conj() const {
+    return *this;
+  }
+  Vectorized<T> acos() const {
+    return map(Sleef_acosf16_u10);
+  }
+  Vectorized<T> asin() const {
+    return map(Sleef_asinf16_u10);
+  }
+  Vectorized<T> atan() const {
+    return map(Sleef_atanf16_u10);
+  }
+  Vectorized<T> atanh() const {
+    return map(Sleef_atanhf16_u10);
+  }
+  Vectorized<T> atan2(const Vectorized<T> &b) const {
+    __m512 lo, hi;
+    __m512 b1, b2;
+    cvt_to_fp32<T>(values, lo, hi);
+    cvt_to_fp32<T>(b.values, b1, b2);
+    auto o1 = Sleef_atan2f16_u10(lo, b1);
+    auto o2 = Sleef_atan2f16_u10(hi, b2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> copysign(const Vectorized<T> &sign) const {
+    // copy sign bit (0x8000) from sign and remaining bits from values
+    __m512i mask_value = _mm512_set1_epi32(~0x80008000);
+    __m512i mask_signbit = _mm512_set1_epi32(0x80008000);
+    return Vectorized<T>(
+      _mm512_or_si512(
+        _mm512_and_si512(values, mask_value),
+        _mm512_and_si512(sign, mask_signbit)));
+  }
+  Vectorized<T> erf() const {
+    return map(Sleef_erff16_u10);
+  }
+  Vectorized<T> erfc() const {
+    return map(Sleef_erfcf16_u15);
+  }
+  Vectorized<T> erfinv() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    __at_align__ float tmp1[size() / 2], tmp2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+    for (int64_t i = 0; i < size() / 2; i++) {
+      tmp1[i] = calc_erfinv(tmp1[i]);
+      tmp2[i] = calc_erfinv(tmp2[i]);
+    }
+    auto o1 = _mm512_loadu_ps(tmp1);
+    auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> exp() const {
+    return map(Sleef_expf16_u10);
+  }
+  Vectorized<T> exp2() const {
+    return map(Sleef_exp2f16_u10);
+  }
+  Vectorized<T> expm1() const {
+    return map(Sleef_expm1f16_u10);
+  }
+  Vectorized<T> fmod(const Vectorized<T> & q) const {
+    __m512 x_lo, x_hi;
+    cvt_to_fp32<T>(values, x_lo, x_hi);
+    __m512 q_lo, q_hi;
+    cvtbf16_fp32(q.values, q_lo, q_hi);
+    auto o1 = Sleef_fmodf16(x_lo, q_lo);
+    auto o2 = Sleef_fmodf16(x_hi, q_hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> hypot(const Vectorized<T> &b) const {
+    __m512 lo, hi;
+    __m512 b1, b2;
+    cvt_to_fp32<T>(values, lo, hi);
+    cvt_to_fp32<T>(b.values, b1, b2);
+    auto o1 = Sleef_hypotf16_u05(lo, b1);
+    auto o2 = Sleef_hypotf16_u05(hi, b2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> i0() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    __at_align__ float tmp1[size() / 2], tmp2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+    for (int64_t i = 0; i < size() / 2; i++) {
+      tmp1[i] = calc_i0(tmp1[i]);
+      tmp2[i] = calc_i0(tmp2[i]);
+    }
+    auto o1 = _mm512_loadu_ps(tmp1);
+    auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> i0e() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    constexpr auto sz = size();
+    __at_align__ float tmp1[sz / 2], tmp2[sz / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+
+    for (auto i = decltype(sz){0}; i < sz / 2; i++) {
+      tmp1[i] = calc_i0e(tmp1[i]);
+      tmp2[i] = calc_i0e(tmp2[i]);
+    }
+    const auto o1 = _mm512_loadu_ps(tmp1);
+    const auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> digamma() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    constexpr auto sz = size();
+    __at_align__ float tmp1[sz / 2], tmp2[sz / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+
+    for (auto i = decltype(sz){0}; i < sz / 2; i++) {
+      tmp1[i] = calc_digamma(tmp1[i]);
+      tmp2[i] = calc_digamma(tmp2[i]);
+    }
+    const auto o1 = _mm512_loadu_ps(tmp1);
+    const auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> igamma(const Vectorized<T> &x) const {
+    __m512 lo, hi;
+    __m512 xlo, xhi;
+    cvt_to_fp32<T>(values, lo, hi);
+    cvt_to_fp32<T>(x.values, xlo, xhi);
+    __at_align__ float tmp1[size() / 2], tmp2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+    __at_align__ float tmpx1[size() / 2], tmpx2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmpx1), xlo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmpx2), xhi);
+    for (int64_t i = 0; i < size() / 2; ++i) {
+      tmp1[i] = calc_igamma(tmp1[i], tmpx1[i]);
+      tmp2[i] = calc_igamma(tmp2[i], tmpx2[i]);
+    }
+    auto o1 = _mm512_loadu_ps(tmp1);
+    auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+
+  Vectorized<T> igammac(const Vectorized<T> &x) const {
+    __m512 lo, hi;
+    __m512 xlo, xhi;
+    cvt_to_fp32<T>(values, lo, hi);
+    cvt_to_fp32<T>(x.values, xlo, xhi);
+    __at_align__ float tmp1[size() / 2], tmp2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp1), lo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmp2), hi);
+    __at_align__ float tmpx1[size() / 2], tmpx2[size() / 2];
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmpx1), xlo);
+    _mm512_storeu_ps(reinterpret_cast<float*>(tmpx2), xhi);
+    for (int64_t i = 0; i < size() / 2; ++i) {
+      tmp1[i] = calc_igammac(tmp1[i], tmpx1[i]);
+      tmp2[i] = calc_igammac(tmp2[i], tmpx2[i]);
+    }
+    auto o1 = _mm512_loadu_ps(tmp1);
+    auto o2 = _mm512_loadu_ps(tmp2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> log() const {
+    return map(Sleef_logf16_u10);
+  }
+  Vectorized<T> log2() const {
+    return map(Sleef_log2f16_u10);
+  }
+  Vectorized<T> log10() const {
+    return map(Sleef_log10f16_u10);
+  }
+  Vectorized<T> log1p() const {
+    return map(Sleef_log1pf16_u10);
+  }
+  Vectorized<T> sin() const {
+    return map(Sleef_sinf16_u10);
+  }
+  Vectorized<T> sinh() const {
+    return map(Sleef_sinhf16_u10);
+  }
+  Vectorized<T> cos() const {
+    return map(Sleef_cosf16_u10);
+  }
+  Vectorized<T> cosh() const {
+    return map(Sleef_coshf16_u10);
+  }
+  Vectorized<T> ceil() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto o1 = _mm512_ceil_ps(lo);
+    auto o2 = _mm512_ceil_ps(hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> floor() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto o1 = _mm512_floor_ps(lo);
+    auto o2 = _mm512_floor_ps(hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> neg() const {
+    return _mm512_xor_si512(values, _mm512_set1_epi16(0x8000));
+  }
+  Vectorized<T> round() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto o1 = _mm512_roundscale_ps(lo, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+    auto o2 = _mm512_roundscale_ps(hi, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> tan() const {
+    return map(Sleef_tanf16_u10);
+  }
+  Vectorized<T> tanh() const {
+    return map(Sleef_tanhf16_u10);
+  }
+  Vectorized<T> trunc() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto o1 = _mm512_roundscale_ps(lo, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+    auto o2 = _mm512_roundscale_ps(hi, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> lgamma() const {
+    return map(Sleef_lgammaf16_u10);
+  }
+  Vectorized<T> sqrt() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto o1 = _mm512_sqrt_ps(lo);
+    auto o2 = _mm512_sqrt_ps(hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> reciprocal() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto ones = _mm512_set1_ps(1);
+    auto o1 = _mm512_div_ps(ones, lo);
+    auto o2 = _mm512_div_ps(ones, hi);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> rsqrt() const {
+    __m512 lo, hi;
+    cvt_to_fp32<T>(values, lo, hi);
+    auto ones = _mm512_set1_ps(1);
+    auto o1 = _mm512_div_ps(ones, _mm512_sqrt_ps(lo));
+    auto o2 = _mm512_div_ps(ones, _mm512_sqrt_ps(hi));
+    return cvt_from_fp32<T>(o1, o2);
+  }
+  Vectorized<T> pow(const Vectorized<T> &b) const {
+    __m512 lo, hi;
+    __m512 b1, b2;
+    cvt_to_fp32<T>(values, lo, hi);
+    cvt_to_fp32<T>(b.values, b1, b2);
+    auto o1 = Sleef_powf16_u10(lo, b1);
+    auto o2 = Sleef_powf16_u10(hi, b2);
+    return cvt_from_fp32<T>(o1, o2);
+  }
+private:
+  template<typename Op>
+  Vectorized<T> inline binary_compare(const Vectorized<T>& b, Op op) const {
+    __m512 a_lo, a_hi;
+    __m512 b_lo, b_hi;
+    cvt_to_fp32<T>(values, a_lo, a_hi);
+    cvt_to_fp32<T>(b.values, b_lo, b_hi);
+    auto o1 = op(a_lo, b_lo);
+    auto o2 = op(a_hi, b_hi);
+    return cvt_from_fp32<T, /*is_compare_op*/true>(o1, o2);
+  }
+
+public:
+  Vectorized<T> inline operator>(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_GT_OQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+  Vectorized<T> inline operator<(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_LT_OQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+  Vectorized<T> inline operator>=(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_GE_OQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+  Vectorized<T> inline operator<=(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_LE_OQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+  Vectorized<T> inline operator==(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_EQ_OQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+  Vectorized<T> inline operator!=(const Vectorized<T>& other) const {
+    return binary_compare(other, [](__m512 x, __m512 y) {
+      auto zero_vec = _mm512_set1_epi32(0);
+      auto cmp = _mm512_cmp_ps_mask(x, y, _CMP_NEQ_UQ);
+      return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, cmp, 0xFFFFFFFF));
+    });
+  }
+};
+
+template<typename T, typename Op>
+static inline Vectorized<T> binary_op_as_fp32(const Vectorized<T>& a, const Vectorized<T>& b, Op op) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  cvt_to_fp32<T>(__m512i(a), a_lo, a_hi);
+  cvt_to_fp32<T>(__m512i(b), b_lo, b_hi);
+  auto o1 = op(a_lo, b_lo);
+  auto o2 = op(a_hi, b_hi);
+  return cvt_from_fp32<T>(o1, o2);
+}
+
+template <>
+class Vectorized<BFloat16>: public Vectorized16<BFloat16> {
+public:
+  using Vectorized16::Vectorized16;
+
+  Vectorized<BFloat16> frac() const;
+
+  Vectorized<BFloat16> eq(const Vectorized<BFloat16>& other) const;
+  Vectorized<BFloat16> ne(const Vectorized<BFloat16>& other) const;
+  Vectorized<BFloat16> gt(const Vectorized<BFloat16>& other) const;
+  Vectorized<BFloat16> ge(const Vectorized<BFloat16>& other) const;
+  Vectorized<BFloat16> lt(const Vectorized<BFloat16>& other) const;
+  Vectorized<BFloat16> le(const Vectorized<BFloat16>& other) const;
+};
+
+Vectorized<BFloat16> inline operator+(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_add_ps(x, y); });
+}
+Vectorized<BFloat16> inline operator-(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_sub_ps(x, y); });
+}
+Vectorized<BFloat16> inline operator*(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_mul_ps(x, y); });
+}
+Vectorized<BFloat16> inline operator/(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_div_ps(x, y); });
+}
+Vectorized<BFloat16> inline operator&(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return _mm512_and_si512(a, b);
+}
+Vectorized<BFloat16> inline operator|(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return _mm512_or_si512(a, b);
+}
+Vectorized<BFloat16> inline operator^(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  return _mm512_xor_si512(a, b);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::eq(const Vectorized<BFloat16>& other) const {
+  return (*this == other) & Vectorized<BFloat16>(1.0f);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::ne(const Vectorized<BFloat16>& other) const {
+  return (*this != other) & Vectorized<BFloat16>(1.0f);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::gt(const Vectorized<BFloat16>& other) const {
+  return (*this > other) & Vectorized<BFloat16>(1.0f);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::ge(const Vectorized<BFloat16>& other) const {
+  return (*this >= other) & Vectorized<BFloat16>(1.0f);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::lt(const Vectorized<BFloat16>& other) const {
+  return (*this < other) & Vectorized<BFloat16>(1.0f);
+}
+
+inline Vectorized<BFloat16> Vectorized<BFloat16>::le(const Vectorized<BFloat16>& other) const {
+  return (*this <= other) & Vectorized<BFloat16>(1.0f);
+}
+
+// frac. Implement this here so we can use subtraction
+inline Vectorized<BFloat16> Vectorized<BFloat16>::frac() const {
+  return *this - this->trunc();
+}
+
+// Implements the IEEE 754 201X `maximum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<BFloat16> inline maximum(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(b), b_lo, b_hi);
+  auto max_lo = _mm512_max_ps(a_lo, b_lo);
+  auto max_hi = _mm512_max_ps(a_hi, b_hi);
+  auto nan_lo_mask = _mm512_cmp_ps_mask(a_lo, b_lo, _CMP_UNORD_Q);
+  auto nan_hi_mask = _mm512_cmp_ps_mask(a_hi, b_hi, _CMP_UNORD_Q);
+  auto nan_lo = _mm512_castsi512_ps(_mm512_set1_epi32(nan_lo_mask));
+  auto nan_hi = _mm512_castsi512_ps(_mm512_set1_epi32(nan_hi_mask));
+  // Exploit the fact that all-ones is a NaN.
+  auto o1 = _mm512_or_ps(max_lo, nan_lo);
+  auto o2 = _mm512_or_ps(max_hi, nan_hi);
+  return cvtfp32_bf16(o1, o2);
+}
+
+// Implements the IEEE 754 201X `minimum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<BFloat16> inline minimum(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& b) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  __m512i zero_vec = _mm512_set1_epi32(0);
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(b), b_lo, b_hi);
+  auto min_lo = _mm512_min_ps(a_lo, b_lo);
+  auto min_hi = _mm512_min_ps(a_hi, b_hi);
+  auto nan_lo_mask = _mm512_cmp_ps_mask(a_lo, b_lo, _CMP_UNORD_Q);
+  auto nan_hi_mask = _mm512_cmp_ps_mask(a_hi, b_hi, _CMP_UNORD_Q);
+  auto nan_lo = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, nan_lo_mask,
+                                                           0xFFFFFFFF));
+  auto nan_hi = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, nan_hi_mask,
+                                                           0xFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  auto o1 = _mm512_or_ps(min_lo, nan_lo);
+  auto o2 = _mm512_or_ps(min_hi, nan_hi);
+  return cvtfp32_bf16(o1, o2);
+}
+
+template <>
+Vectorized<BFloat16> inline clamp(const Vectorized<BFloat16>& a,
+    const Vectorized<BFloat16>& min, const Vectorized<BFloat16>& max) {
+  __m512 a_lo, a_hi;
+  __m512 min_lo, min_hi;
+  __m512 max_lo, max_hi;
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(min), min_lo, min_hi);
+  cvtbf16_fp32(__m512i(max), max_lo, max_hi);
+  auto o1 = _mm512_min_ps(max_lo, _mm512_max_ps(min_lo, a_lo));
+  auto o2 = _mm512_min_ps(max_hi, _mm512_max_ps(min_hi, a_hi));
+  return cvtfp32_bf16(o1, o2);
+}
+
+template <>
+Vectorized<BFloat16> inline clamp_max(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& max) {
+  __m512 a_lo, a_hi;
+  __m512 max_lo, max_hi;
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(max), max_lo, max_hi);
+  auto o1 = _mm512_min_ps(max_lo, a_lo);
+  auto o2 = _mm512_min_ps(max_hi, a_hi);
+  return cvtfp32_bf16(o1, o2);
+}
+
+template <>
+Vectorized<BFloat16> inline clamp_min(const Vectorized<BFloat16>& a, const Vectorized<BFloat16>& min) {
+  __m512 a_lo, a_hi;
+  __m512 min_lo, min_hi;
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(min), min_lo, min_hi);
+  auto o1 = _mm512_max_ps(min_lo, a_lo);
+  auto o2 = _mm512_max_ps(min_hi, a_hi);
+  return cvtfp32_bf16(o1, o2);
+}
+
+template <>
+inline void convert(const BFloat16* src, BFloat16* dst, int64_t n) {
+  int64_t i;
+#pragma unroll
+  for (i = 0; i <= (n - Vectorized<BFloat16>::size()); i += Vectorized<BFloat16>::size()) {
+    auto vsrc = _mm512_loadu_si512(reinterpret_cast<__m512i*>((void*)(src + i)));
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>((void*)(dst + i)), vsrc);
+  }
+#pragma unroll
+  for (; i < n; i++) {
+    dst[i] = src[i];
+  }
+}
+
+template <>
+inline void convert(const float* src, BFloat16* dst, int64_t n) {
+  int64_t i;
+  for (i = 0; i + Vectorized<BFloat16>::size() <= n; i += Vectorized<BFloat16>::size()) {
+    __m512 a = _mm512_loadu_ps(&src[i]);
+    __m512 b = _mm512_loadu_ps(&src[i + 16]);
+
+    __m512i bf = cvtfp32_bf16(a, b);
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>(&dst[i]), bf);
+  }
+  for (; i < n; i++) {
+    dst[i] = c10::convert<BFloat16>(src[i]);
+  }
+}
+
+template <>
+inline void convert(const double* src, BFloat16* dst, int64_t n) {
+  auto load_float = [](const double *src) -> __m512 {
+    // Load one float vector from an array of doubles
+    __m256 a = _mm512_cvtpd_ps(_mm512_loadu_pd(src));
+    __m256 b = _mm512_cvtpd_ps(_mm512_loadu_pd(src + 8));
+    return _mm512_insertf32x8(_mm512_castps256_ps512(a), b, 1);
+  };
+
+  int64_t i;
+  for (i = 0; i + Vectorized<BFloat16>::size() <= n; i += Vectorized<BFloat16>::size()) {
+    __m512 a = load_float(&src[i]);
+    __m512 b = load_float(&src[i + 16]);
+
+    __m512i bf = cvtfp32_bf16(a, b);
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>(&dst[i]), bf);
+  }
+  for (; i < n; i++) {
+    dst[i] = c10::convert<BFloat16>(src[i]);
+  }
+}
+
+template <>
+Vectorized<BFloat16> inline fmadd(const Vectorized<BFloat16>& a,
+    const Vectorized<BFloat16>& b, const Vectorized<BFloat16>& c) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  __m512 c_lo, c_hi;
+  cvtbf16_fp32(__m512i(a), a_lo, a_hi);
+  cvtbf16_fp32(__m512i(b), b_lo, b_hi);
+  cvtbf16_fp32(__m512i(c), c_lo, c_hi);
+  auto o1 = _mm512_fmadd_ps(a_lo, b_lo, c_lo);
+  auto o2 = _mm512_fmadd_ps(a_hi, b_hi, c_hi);
+  return cvtfp32_bf16(o1, o2);
+}
+
+template <>
+class Vectorized<Half>: public Vectorized16<Half> {
+public:
+  using Vectorized16::Vectorized16;
+
+  Vectorized<Half> frac() const;
+
+  Vectorized<Half> eq(const Vectorized<Half>& other) const;
+  Vectorized<Half> ne(const Vectorized<Half>& other) const;
+  Vectorized<Half> gt(const Vectorized<Half>& other) const;
+  Vectorized<Half> ge(const Vectorized<Half>& other) const;
+  Vectorized<Half> lt(const Vectorized<Half>& other) const;
+  Vectorized<Half> le(const Vectorized<Half>& other) const;
+};
+
+Vectorized<Half> inline operator+(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_add_ps(x, y); });
+}
+Vectorized<Half> inline operator-(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_sub_ps(x, y); });
+}
+Vectorized<Half> inline operator*(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_mul_ps(x, y); });
+}
+Vectorized<Half> inline operator/(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return binary_op_as_fp32(a, b, [](const __m512& x, const __m512& y) { return _mm512_div_ps(x, y); });
+}
+
+Vectorized<Half> inline operator&(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return _mm512_and_si512(a, b);
+}
+Vectorized<Half> inline operator|(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return _mm512_or_si512(a, b);
+}
+Vectorized<Half> inline operator^(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  return _mm512_xor_si512(a, b);
+}
+
+inline Vectorized<Half> Vectorized<Half>::eq(const Vectorized<Half>& other) const {
+  return (*this == other) & Vectorized<Half>(1.0f);
+}
+
+inline Vectorized<Half> Vectorized<Half>::ne(const Vectorized<Half>& other) const {
+  return (*this != other) & Vectorized<Half>(1.0f);
+}
+
+inline Vectorized<Half> Vectorized<Half>::gt(const Vectorized<Half>& other) const {
+  return (*this > other) & Vectorized<Half>(1.0f);
+}
+
+inline Vectorized<Half> Vectorized<Half>::ge(const Vectorized<Half>& other) const {
+  return (*this >= other) & Vectorized<Half>(1.0f);
+}
+
+inline Vectorized<Half> Vectorized<Half>::lt(const Vectorized<Half>& other) const {
+  return (*this < other) & Vectorized<Half>(1.0f);
+}
+
+inline Vectorized<Half> Vectorized<Half>::le(const Vectorized<Half>& other) const {
+  return (*this <= other) & Vectorized<Half>(1.0f);
+}
+
+// frac. Implement this here so we can use subtraction
+inline Vectorized<Half> Vectorized<Half>::frac() const {
+  return *this - this->trunc();
+}
+
+// Implements the IEEE 754 201X `maximum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<Half> inline maximum(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(b), b_lo, b_hi);
+  auto max_lo = _mm512_max_ps(a_lo, b_lo);
+  auto max_hi = _mm512_max_ps(a_hi, b_hi);
+  auto nan_lo_mask = _mm512_cmp_ps_mask(a_lo, b_lo, _CMP_UNORD_Q);
+  auto nan_hi_mask = _mm512_cmp_ps_mask(a_hi, b_hi, _CMP_UNORD_Q);
+  auto nan_lo = _mm512_castsi512_ps(_mm512_set1_epi32(nan_lo_mask));
+  auto nan_hi = _mm512_castsi512_ps(_mm512_set1_epi32(nan_hi_mask));
+  // Exploit the fact that all-ones is a NaN.
+  auto o1 = _mm512_or_ps(max_lo, nan_lo);
+  auto o2 = _mm512_or_ps(max_hi, nan_hi);
+  return cvtfp32_fp16(o1, o2);
+}
+
+// Implements the IEEE 754 201X `minimum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<Half> inline minimum(const Vectorized<Half>& a, const Vectorized<Half>& b) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  __m512i zero_vec = _mm512_set1_epi32(0);
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(b), b_lo, b_hi);
+  auto min_lo = _mm512_min_ps(a_lo, b_lo);
+  auto min_hi = _mm512_min_ps(a_hi, b_hi);
+  auto nan_lo_mask = _mm512_cmp_ps_mask(a_lo, b_lo, _CMP_UNORD_Q);
+  auto nan_hi_mask = _mm512_cmp_ps_mask(a_hi, b_hi, _CMP_UNORD_Q);
+  auto nan_lo = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, nan_lo_mask,
+                                                           0xFFFFFFFF));
+  auto nan_hi = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, nan_hi_mask,
+                                                           0xFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  auto o1 = _mm512_or_ps(min_lo, nan_lo);
+  auto o2 = _mm512_or_ps(min_hi, nan_hi);
+  return cvtfp32_fp16(o1, o2);
+}
+
+template <>
+Vectorized<Half> inline clamp(const Vectorized<Half>& a,
+    const Vectorized<Half>& min, const Vectorized<Half>& max) {
+  __m512 a_lo, a_hi;
+  __m512 min_lo, min_hi;
+  __m512 max_lo, max_hi;
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(min), min_lo, min_hi);
+  cvtfp16_fp32(__m512i(max), max_lo, max_hi);
+  auto o1 = _mm512_min_ps(max_lo, _mm512_max_ps(min_lo, a_lo));
+  auto o2 = _mm512_min_ps(max_hi, _mm512_max_ps(min_hi, a_hi));
+  return cvtfp32_fp16(o1, o2);
+}
+
+template <>
+Vectorized<Half> inline clamp_max(const Vectorized<Half>& a, const Vectorized<Half>& max) {
+  __m512 a_lo, a_hi;
+  __m512 max_lo, max_hi;
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(max), max_lo, max_hi);
+  auto o1 = _mm512_min_ps(max_lo, a_lo);
+  auto o2 = _mm512_min_ps(max_hi, a_hi);
+  return cvtfp32_fp16(o1, o2);
+}
+
+template <>
+Vectorized<Half> inline clamp_min(const Vectorized<Half>& a, const Vectorized<Half>& min) {
+  __m512 a_lo, a_hi;
+  __m512 min_lo, min_hi;
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(min), min_lo, min_hi);
+  auto o1 = _mm512_max_ps(min_lo, a_lo);
+  auto o2 = _mm512_max_ps(min_hi, a_hi);
+  return cvtfp32_fp16(o1, o2);
+}
+
+template <>
+inline void convert(const Half* src, Half* dst, int64_t n) {
+  int64_t i;
+#pragma unroll
+  for (i = 0; i <= (n - Vectorized<Half>::size()); i += Vectorized<Half>::size()) {
+    auto vsrc = _mm512_loadu_si512(reinterpret_cast<__m512i*>((void*)(src + i)));
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>((void*)(dst + i)), vsrc);
+  }
+#pragma unroll
+  for (; i < n; i++) {
+    dst[i] = src[i];
+  }
+}
+
+template <>
+inline void convert(const float* src, Half* dst, int64_t n) {
+  int64_t i;
+  for (i = 0; i + Vectorized<Half>::size() <= n; i += Vectorized<Half>::size()) {
+    __m512 a = _mm512_loadu_ps(&src[i]);
+    __m512 b = _mm512_loadu_ps(&src[i + 16]);
+
+    __m512i bf = cvtfp32_fp16(a, b);
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>(&dst[i]), bf);
+  }
+  for (; i < n; i++) {
+    dst[i] = c10::convert<Half>(src[i]);
+  }
+}
+
+template <>
+inline void convert(const double* src, Half* dst, int64_t n) {
+  auto load_float = [](const double *src) -> __m512 {
+    // Load one float vector from an array of doubles
+    __m256 a = _mm512_cvtpd_ps(_mm512_loadu_pd(src));
+    __m256 b = _mm512_cvtpd_ps(_mm512_loadu_pd(src + 8));
+    return _mm512_insertf32x8(_mm512_castps256_ps512(a), b, 1);
+  };
+
+  int64_t i;
+  for (i = 0; i + Vectorized<Half>::size() <= n; i += Vectorized<Half>::size()) {
+    __m512 a = load_float(&src[i]);
+    __m512 b = load_float(&src[i + 16]);
+
+    __m512i bf = cvtfp32_fp16(a, b);
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>(&dst[i]), bf);
+  }
+  for (; i < n; i++) {
+    dst[i] = c10::convert<Half>(src[i]);
+  }
+}
+
+template <>
+Vectorized<Half> inline fmadd(const Vectorized<Half>& a,
+    const Vectorized<Half>& b, const Vectorized<Half>& c) {
+  __m512 a_lo, a_hi;
+  __m512 b_lo, b_hi;
+  __m512 c_lo, c_hi;
+  cvtfp16_fp32(__m512i(a), a_lo, a_hi);
+  cvtfp16_fp32(__m512i(b), b_lo, b_hi);
+  cvtfp16_fp32(__m512i(c), c_lo, c_hi);
+  auto o1 = _mm512_fmadd_ps(a_lo, b_lo, c_lo);
+  auto o2 = _mm512_fmadd_ps(a_hi, b_hi, c_hi);
+  return cvtfp32_fp16(o1, o2);
+}
+
+#define CONVERT_VECTORIZED_INIT(type, name) \
+inline std::tuple<Vectorized<float>, Vectorized<float>> convert_##name##_float(const Vectorized<type>& a) { \
+  __m512 o1, o2; \
+  cvt_to_fp32<type>(__m512i(a), o1, o2); \
+  return std::make_tuple(o1, o2); \
+} \
+\
+inline Vectorized<type> convert_float_##name(const Vectorized<float>& a, const Vectorized<float>& b) { \
+ return cvt_from_fp32<type>(__m512(a), __m512(b)); \
+}
+CONVERT_VECTORIZED_INIT(BFloat16, bfloat16);
+CONVERT_VECTORIZED_INIT(Half, half);
+
+#else //defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+#define CONVERT_NON_VECTORIZED_INIT(type, name) \
+inline std::tuple<Vectorized<float>, Vectorized<float>> convert_##name##_float(const Vectorized<type>& a) { \
+  constexpr int64_t K = Vectorized<type>::size(); \
+  __at_align__ float arr[K]; \
+  __at_align__ type arr2[K]; \
+  a.store(arr2); \
+  for (const auto k : c10::irange(K)) { \
+    arr[k] = c10::convert<float>(arr2[k]); \
+  } \
+  return std::make_tuple( \
+      Vectorized<float>::loadu(arr), \
+      Vectorized<float>::loadu(arr + Vectorized<float>::size())); \
+} \
+\
+inline Vectorized<type> convert_float_##name(const Vectorized<float>& a, const Vectorized<float>& b) { \
+  constexpr int64_t K = Vectorized<type>::size(); \
+  __at_align__ float arr[K]; \
+  __at_align__ type arr2[K]; \
+  a.store(arr); \
+  b.store(arr + Vectorized<float>::size()); \
+  for (const auto k : c10::irange(K)) { \
+    arr2[k] = c10::convert<type>(arr[k]); \
+  } \
+  return Vectorized<type>::loadu(arr2); \
+}
+CONVERT_NON_VECTORIZED_INIT(BFloat16, bfloat16);
+CONVERT_NON_VECTORIZED_INIT(Half, half);
+
+#endif // defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#define LOAD_FP32_VECTORIZED_INIT(type, name) \
+inline void load_fp32_from_##name(const type *data, Vectorized<float>& out) { \
+  auto values = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(data)); \
+  __m512 out_values; \
+  cvt_to_fp32<type>(values, out_values); \
+  out = out_values; \
+} \
+\
+inline void load_fp32_from_##name(const type *data, Vectorized<float>& out1, Vectorized<float>& out2) { \
+  auto vec = Vectorized<type>::loadu(data); \
+  __m512 out1_values, out2_values; \
+  cvt_to_fp32<type>(vec, out1_values, out2_values); \
+  out1 = out1_values; \
+  out2 = out2_values; \
+}
+LOAD_FP32_VECTORIZED_INIT(BFloat16, bf16);
+LOAD_FP32_VECTORIZED_INIT(Half, fp16);
+
+#else // defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#define LOAD_FP32_NON_VECTORIZED_INIT(type, name) \
+inline void load_fp32_from_##name(const type *data, Vectorized<float>& out) { \
+  __at_align__ float values[Vectorized<float>::size()]; \
+  for (const auto k : c10::irange(Vectorized<float>::size())) { \
+    values[k] = data[k]; \
+  } \
+  out = Vectorized<float>::loadu(values); \
+} \
+\
+inline void load_fp32_from_##name(const type *data, Vectorized<float>& out1, Vectorized<float>& out2) { \
+  load_fp32_from_##name(data, out1); \
+  data += Vectorized<float>::size(); \
+  load_fp32_from_##name(data, out2); \
+}
+LOAD_FP32_NON_VECTORIZED_INIT(BFloat16, bf16);
+LOAD_FP32_NON_VECTORIZED_INIT(Half, fp16);
+
+#endif
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_complex_double.h

@@ -0,0 +1,512 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <c10/util/complex.h>
+#include <c10/util/irange.h>
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#include <sleef.h>
+#endif
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+template <> class Vectorized<c10::complex<double>> {
+private:
+  __m512d values;
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+public:
+  using value_type = c10::complex<double>;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 4;
+  }
+  Vectorized() {}
+  Vectorized(__m512d v) : values(v) {}
+  Vectorized(c10::complex<double> val) {
+    double real_value = val.real();
+    double imag_value = val.imag();
+    values = _mm512_setr_pd(real_value, imag_value, real_value, imag_value,
+                            real_value, imag_value, real_value, imag_value);
+  }
+  Vectorized(c10::complex<double> val1, c10::complex<double> val2,
+            c10::complex<double> val3, c10::complex<double> val4) {
+    values = _mm512_setr_pd(val1.real(), val1.imag(),
+                            val2.real(), val2.imag(),
+                            val3.real(), val3.imag(),
+                            val4.real(), val4.imag());
+  }
+  operator __m512d() const {
+    return values;
+  }
+  template <int64_t mask>
+  static Vectorized<c10::complex<double>> blend(const Vectorized<c10::complex<double>>& a,
+                                               const Vectorized<c10::complex<double>>& b) {
+     // convert c10::complex<V> index mask to V index mask: xy -> xxyy
+    // NOLINTNEXTLINE(clang-diagnostic-warning)
+    switch (mask) {
+      case 0:
+        return a;
+      case 1:
+        return _mm512_mask_blend_pd(0x03, a.values, b.values); //b0000 0001 = b0000 0011
+      case 2:
+        return _mm512_mask_blend_pd(0x0C, a.values, b.values); //b0000 0010 = b0000 1100
+      case 3:
+        return _mm512_mask_blend_pd(0x0F, a.values, b.values); //b0000 0011 = b0000 1111
+      case 4:
+        return _mm512_mask_blend_pd(0x30, a.values, b.values); //b0000 0100 = b0011 0000
+      case 5:
+        return _mm512_mask_blend_pd(0x33, a.values, b.values); //b0000 0101 = b0011 0011
+      case 6:
+        return _mm512_mask_blend_pd(0x3C, a.values, b.values); //b0000 0110 = b0011 1100
+      case 7:
+        return _mm512_mask_blend_pd(0x3F, a.values, b.values); //b0000 0111 = b0011 1111
+      case 8:
+        return _mm512_mask_blend_pd(0xC0, a.values, b.values); //b0000 1000 = b1100 0000
+      case 9:
+        return _mm512_mask_blend_pd(0xC3, a.values, b.values); //b0000 1001 = b1100 0011
+      case 10:
+        return _mm512_mask_blend_pd(0xCC, a.values, b.values); //b0000 1010 = b1100 1100
+      case 11:
+        return _mm512_mask_blend_pd(0xCF, a.values, b.values); //b0000 1011 = b1100 1111
+      case 12:
+        return _mm512_mask_blend_pd(0xF0, a.values, b.values); //b0000 1100 = b1111 0000
+      case 13:
+        return _mm512_mask_blend_pd(0xF3, a.values, b.values); //b0000 1101 = b1111 0011
+      case 14:
+        return _mm512_mask_blend_pd(0xFC, a.values, b.values); //b0000 1110 = b1111 1100
+      case 15:
+        return _mm512_mask_blend_pd(0xFF, a.values, b.values); //b0000 1111 = b1111 1111
+    }
+    return b;
+  }
+  static Vectorized<c10::complex<double>> blendv(const Vectorized<c10::complex<double>>& a,
+                                                const Vectorized<c10::complex<double>>& b,
+                                                const Vectorized<c10::complex<double>>& mask) {
+    // convert c10::complex<V> index mask to V index mask: xy -> xxyy
+    auto mask_ = _mm512_unpacklo_pd(mask.values, mask.values);
+    auto all_ones = _mm512_set1_epi64(0xFFFFFFFFFFFFFFFF);
+    auto mmask = _mm512_cmp_epi64_mask(_mm512_castpd_si512(mask_), all_ones, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_pd(mmask, a.values, b.values);
+  }
+  template<typename step_t>
+  static Vectorized<c10::complex<double>> arange(c10::complex<double> base = 0.,
+                                                step_t step = static_cast<step_t>(1)) {
+    return Vectorized<c10::complex<double>>(base,
+                                           base + c10::complex<double>(1)*step,
+                                           base + c10::complex<double>(2)*step,
+                                           base + c10::complex<double>(3)*step);
+  }
+  static Vectorized<c10::complex<double>> set(const Vectorized<c10::complex<double>>& a,
+                                             const Vectorized<c10::complex<double>>& b,
+                                             int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<c10::complex<double>> loadu(const void* ptr, int64_t count = size()) {
+    if (count == size())
+      return _mm512_loadu_pd(reinterpret_cast<const double*>(ptr));
+
+    __at_align__ double tmp_values[2*size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(2*size())) {
+      tmp_values[i] = 0.0;
+    }
+    std::memcpy(
+        tmp_values,
+        reinterpret_cast<const double*>(ptr),
+        count * sizeof(c10::complex<double>));
+    return _mm512_load_pd(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      _mm512_storeu_pd(reinterpret_cast<double*>(ptr), values);
+    } else if (count > 0) {
+      double tmp_values[2*size()];
+      _mm512_storeu_pd(reinterpret_cast<double*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(c10::complex<double>));
+    }
+  }
+  const c10::complex<double>& operator[](int idx) const  = delete;
+  c10::complex<double>& operator[](int idx) = delete;
+  Vectorized<c10::complex<double>> map(c10::complex<double> (*const f)(const c10::complex<double> &)) const {
+    __at_align__ c10::complex<double> tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+  // AVX512 doesn't have horizontal add & horizontal sub instructions.
+  // TODO: hadd_pd() & hsub_pd() may have scope for improvement.
+  static inline __m512d hadd_pd(__m512d a, __m512d b) {
+  __m512i idx1 = _mm512_set_epi64(14, 6, 12, 4, 10, 2, 8, 0);
+  __m512i idx2 = _mm512_set_epi64(15, 7, 13, 5, 11, 3, 9, 1);
+  return _mm512_add_pd(_mm512_mask_permutex2var_pd(a, 0xff, idx1, b),
+                       _mm512_mask_permutex2var_pd(a, 0xff, idx2, b));
+  }
+  static inline __m512d hsub_pd(__m512d a, __m512d b) {
+  __m512i idx1 = _mm512_set_epi64(14, 6, 12, 4, 10, 2, 8, 0);
+  __m512i idx2 = _mm512_set_epi64(15, 7, 13, 5, 11, 3, 9, 1);
+  return _mm512_sub_pd(_mm512_mask_permutex2var_pd(a, 0xff, idx1, b),
+                       _mm512_mask_permutex2var_pd(a, 0xff, idx2, b));
+  }
+  __m512d abs_2_() const {
+    auto val_2 = _mm512_mul_pd(values, values);     // a*a     b*b
+    return hadd_pd(val_2, val_2);            // a*a+b*b a*a+b*b
+  }
+  __m512d abs_() const {
+    auto real = _mm512_movedup_pd(values);        // real real
+    // movehdup_pd does not exist...
+    auto imag = _mm512_permute_pd(values, 0xff);  // imag imag
+    return Sleef_hypotd8_u05(real, imag);         // abs  abs
+  }
+  Vectorized<c10::complex<double>> abs() const {
+    const __m512d real_mask = _mm512_castsi512_pd(_mm512_setr_epi64(0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000));
+    return _mm512_and_pd(abs_(), real_mask);        // abs     0
+  }
+  __m512d angle_() const {
+    //angle = atan2(b/a)
+    auto b_a = _mm512_permute_pd(values, 0x55);     // b        a
+    return Sleef_atan2d8_u10(values, b_a);          // 90-angle angle
+  }
+  Vectorized<c10::complex<double>> angle() const {
+    const __m512d real_mask = _mm512_castsi512_pd(_mm512_setr_epi64(0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000));
+    auto angle = _mm512_permute_pd(angle_(), 0x55); // angle    90-angle
+    return _mm512_and_pd(angle, real_mask);         // angle    0
+  }
+  Vectorized<c10::complex<double>> sgn() const {
+    auto abs = abs_();
+    auto zero = _mm512_setzero_pd();
+    auto mask = _mm512_cmp_pd_mask(abs, zero, _CMP_EQ_OQ);
+    auto div = values / abs;
+    return _mm512_mask_blend_pd(mask, div, zero);
+  }
+  __m512d real_() const {
+    const __m512d real_mask = _mm512_castsi512_pd(_mm512_setr_epi64(0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000,
+                                                                    0xFFFFFFFFFFFFFFFF, 0x0000000000000000));
+    return _mm512_and_pd(values, real_mask);
+  }
+  Vectorized<c10::complex<double>> real() const {
+    return real_();
+  }
+  __m512d imag_() const {
+    const __m512d imag_mask = _mm512_castsi512_pd(_mm512_setr_epi64(0x0000000000000000, 0xFFFFFFFFFFFFFFFF,
+                                                                    0x0000000000000000, 0xFFFFFFFFFFFFFFFF,
+                                                                    0x0000000000000000, 0xFFFFFFFFFFFFFFFF,
+                                                                    0x0000000000000000, 0xFFFFFFFFFFFFFFFF));
+    return _mm512_and_pd(values, imag_mask);
+  }
+  Vectorized<c10::complex<double>> imag() const {
+    return _mm512_permute_pd(imag_(), 0x55);           //b        a
+  }
+  __m512d conj_() const {
+    const __m512d sign_mask = _mm512_setr_pd(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+    return _mm512_xor_pd(values, sign_mask);           // a       -b
+  }
+  Vectorized<c10::complex<double>> conj() const {
+    return conj_();
+  }
+  Vectorized<c10::complex<double>> log() const {
+    // Most trigonomic ops use the log() op to improve complex number performance.
+    return map(std::log);
+  }
+  Vectorized<c10::complex<double>> log2() const {
+    const __m512d log2_ = _mm512_set1_pd(std::log(2));
+    return _mm512_div_pd(log(), log2_);
+  }
+  Vectorized<c10::complex<double>> log10() const {
+    const __m512d log10_ = _mm512_set1_pd(std::log(10));
+    return _mm512_div_pd(log(), log10_);
+  }
+  Vectorized<c10::complex<double>> log1p() const {
+    return map(std::log1p);
+  }
+  Vectorized<c10::complex<double>> asin() const {
+    // asin(x)
+    // = -i*ln(iz + sqrt(1 -z^2))
+    // = -i*ln((ai - b) + sqrt(1 - (a + bi)*(a + bi)))
+    // = -i*ln((-b + ai) + sqrt(1 - (a**2 - b**2) - 2*abi))
+    const __m512d one = _mm512_set1_pd(1);
+
+    auto conj = conj_();
+    auto b_a = _mm512_permute_pd(conj, 0x55);                         //-b        a
+    auto ab = _mm512_mul_pd(conj, b_a);                               //-ab       -ab
+    auto im = _mm512_add_pd(ab, ab);                                  //-2ab      -2ab
+
+    auto val_2 = _mm512_mul_pd(values, values);                       // a*a      b*b
+    auto re = hsub_pd(val_2, _mm512_permute_pd(val_2, 0x55));  // a*a-b*b  b*b-a*a
+    re = _mm512_sub_pd(one, re);
+
+    auto root = Vectorized(_mm512_mask_blend_pd(0xAA, re, im)).sqrt();         //sqrt(re + i*im)
+    auto ln = Vectorized(_mm512_add_pd(b_a, root)).log();                 //ln(iz + sqrt())
+    return Vectorized(_mm512_permute_pd(ln.values, 0x55)).conj();         //-i*ln()
+  }
+  Vectorized<c10::complex<double>> acos() const {
+    // acos(x) = pi/2 - asin(x)
+    constexpr auto pi_2d = c10::pi<double> / 2;
+    const __m512d pi_2 = _mm512_setr_pd(pi_2d, 0.0, pi_2d, 0.0, pi_2d, 0.0, pi_2d, 0.0);
+    return _mm512_sub_pd(pi_2, asin());
+  }
+  Vectorized<c10::complex<double>> atan() const;
+  Vectorized<c10::complex<double>> atanh() const {
+    return map(std::atanh);
+  }
+  Vectorized<c10::complex<double>> exp() const {
+    //exp(a + bi)
+    // = exp(a)*(cos(b) + sin(b)i)
+    auto exp = Sleef_expd8_u10(values);                               //exp(a)           exp(b)
+    exp = _mm512_mask_blend_pd(0xAA, exp, _mm512_permute_pd(exp, 0x55));   //exp(a)           exp(a)
+
+    auto sin_cos = Sleef_sincosd8_u10(values);                        //[sin(a), cos(a)] [sin(b), cos(b)]
+    auto cos_sin = _mm512_mask_blend_pd(0xAA, _mm512_permute_pd(sin_cos.y, 0x55),
+                                   sin_cos.x);                  //cos(b)           sin(b)
+    return _mm512_mul_pd(exp, cos_sin);
+  }
+  Vectorized<c10::complex<double>> exp2() const {
+    // Use identity 2**x = exp(log(2) * x)
+    const __m512d ln_2 = _mm512_set1_pd(c10::ln_2<double>);
+    Vectorized<c10::complex<double>> scaled_values = _mm512_mul_pd(values, ln_2);
+    return scaled_values.exp();
+  }
+  Vectorized<c10::complex<double>> expm1() const {
+    return map(std::expm1);
+  }
+  Vectorized<c10::complex<double>> sin() const {
+    return map(std::sin);
+  }
+  Vectorized<c10::complex<double>> sinh() const {
+    return map(std::sinh);
+  }
+  Vectorized<c10::complex<double>> cos() const {
+    return map(std::cos);
+  }
+  Vectorized<c10::complex<double>> cosh() const {
+    return map(std::cosh);
+  }
+  Vectorized<c10::complex<double>> ceil() const {
+    return _mm512_ceil_pd(values);
+  }
+  Vectorized<c10::complex<double>> floor() const {
+    return _mm512_floor_pd(values);
+  }
+  Vectorized<c10::complex<double>> neg() const {
+    auto zero = _mm512_setzero_pd();
+    return _mm512_sub_pd(zero, values);
+  }
+  Vectorized<c10::complex<double>> round() const {
+    return _mm512_roundscale_pd(values, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<c10::complex<double>> tan() const {
+    return map(std::tan);
+  }
+  Vectorized<c10::complex<double>> tanh() const {
+    return map(std::tanh);
+  }
+  Vectorized<c10::complex<double>> trunc() const {
+    return _mm512_roundscale_pd(values, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<c10::complex<double>> sqrt() const {
+    return map(std::sqrt);
+  }
+  Vectorized<c10::complex<double>> reciprocal() const;
+  Vectorized<c10::complex<double>> rsqrt() const {
+    return sqrt().reciprocal();
+  }
+  Vectorized<c10::complex<double>> pow(const Vectorized<c10::complex<double>> &exp) const {
+    __at_align__ c10::complex<double> x_tmp[size()];
+    __at_align__ c10::complex<double> y_tmp[size()];
+    store(x_tmp);
+    exp.store(y_tmp);
+    for (const auto i : c10::irange(size())) {
+      x_tmp[i] = std::pow(x_tmp[i], y_tmp[i]);
+    }
+    return loadu(x_tmp);
+  }
+  // Comparison using the _CMP_**_OQ predicate.
+  //   `O`: get false if an operand is NaN
+  //   `Q`: do not raise if an operand is NaN
+  Vectorized<c10::complex<double>> operator==(const Vectorized<c10::complex<double>>& other) const {
+    auto mask = _mm512_cmp_pd_mask(values, other.values, _CMP_EQ_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+  Vectorized<c10::complex<double>> operator!=(const Vectorized<c10::complex<double>>& other) const {
+    auto mask = _mm512_cmp_pd_mask(values, other.values, _CMP_NEQ_UQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+  Vectorized<c10::complex<double>> operator<(const Vectorized<c10::complex<double>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<double>> operator<=(const Vectorized<c10::complex<double>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<double>> operator>(const Vectorized<c10::complex<double>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<double>> operator>=(const Vectorized<c10::complex<double>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<c10::complex<double>> eq(const Vectorized<c10::complex<double>>& other) const;
+  Vectorized<c10::complex<double>> ne(const Vectorized<c10::complex<double>>& other) const;
+};
+
+template <> Vectorized<c10::complex<double>> inline operator+(const Vectorized<c10::complex<double>> &a,
+                                                             const Vectorized<c10::complex<double>> &b) {
+  return _mm512_add_pd(a, b);
+}
+
+template <> Vectorized<c10::complex<double>> inline operator-(const Vectorized<c10::complex<double>> &a,
+                                                             const Vectorized<c10::complex<double>> &b) {
+  return _mm512_sub_pd(a, b);
+}
+
+template <> Vectorized<c10::complex<double>> inline operator*(const Vectorized<c10::complex<double>> &a,
+                                                             const Vectorized<c10::complex<double>> &b) {
+  //(a + bi)  * (c + di) = (ac - bd) + (ad + bc)i
+  const __m512d sign_mask = _mm512_setr_pd(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+  auto ac_bd = _mm512_mul_pd(a, b);         //ac       bd
+
+  auto d_c = _mm512_permute_pd(b, 0x55);    //d        c
+  d_c = _mm512_xor_pd(sign_mask, d_c);      //d       -c
+  auto ad_bc = _mm512_mul_pd(a, d_c);       //ad      -bc
+
+  auto ret = Vectorized<c10::complex<double>>::hsub_pd(ac_bd, ad_bc);  //ac - bd  ad + bc
+  return ret;
+}
+
+template <> Vectorized<c10::complex<double>> inline operator/(const Vectorized<c10::complex<double>> &a,
+                                                             const Vectorized<c10::complex<double>> &b) {
+  //re + im*i = (a + bi)  / (c + di)
+  auto mask = _mm512_set1_pd(-0.f);
+  auto fabs_cd = _mm512_andnot_pd(mask, b);     // |c|    |d|
+  auto fabs_dc = _mm512_permute_pd(fabs_cd, 0x55);   // |d|    |c|
+  auto scale = _mm512_rcp14_pd(_mm512_max_pd(fabs_cd, fabs_dc));  // 1/sc     1/sc
+  auto a2 = _mm512_mul_pd(a, scale);         // a/sc     b/sc
+  auto b2 = _mm512_mul_pd(b, scale);         // c/sc     d/sc
+  auto acbd2 = _mm512_mul_pd(a2, b2);
+
+  const __m512d sign_mask = _mm512_setr_pd(-0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0);
+  auto dc2 = _mm512_permute_pd(b2, 0x55);    // d/sc         c/sc
+  dc2 = _mm512_xor_pd(sign_mask, dc2);       // -d/|c,d|        c/sc
+  auto adbc2 = _mm512_mul_pd(a2, dc2);       //-ad/sc^2      bc/sc^2
+  auto res2 = Vectorized<c10::complex<double>>::hadd_pd(acbd2, adbc2);  //(ac+bd)/sc^2  (bc-ad)/sc^2
+
+  // get the denominator
+  auto denom2 = Vectorized<c10::complex<double>>(b2).abs_2_();  // (c^2+d^2)/sc^2   (c^2+d^2)/sc^2
+  res2 = _mm512_div_pd(res2, denom2);
+  return res2;
+}
+
+// reciprocal. Implement this here so we can use multiplication.
+inline Vectorized<c10::complex<double>> Vectorized<c10::complex<double>>::reciprocal() const{
+  //re + im*i = (a + bi)  / (c + di)
+  //re = (ac + bd)/abs_2() = c/abs_2()
+  //im = (bc - ad)/abs_2() = d/abs_2()
+  const __m512d sign_mask = _mm512_setr_pd(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+  auto c_d = _mm512_xor_pd(sign_mask, values);    //c       -d
+  return _mm512_div_pd(c_d, abs_2_());
+}
+
+inline Vectorized<c10::complex<double>> Vectorized<c10::complex<double>>::atan() const {
+  // atan(x) = i/2 * ln((i + z)/(i - z))
+  const __m512d i = _mm512_setr_pd(0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);
+  const Vectorized i_half = _mm512_setr_pd(0.0, 0.5, 0.0, 0.5, 0.0, 0.5, 0.0, 0.5);
+
+  auto sum = Vectorized(_mm512_add_pd(i, values));                      // a        1+b
+  auto sub = Vectorized(_mm512_sub_pd(i, values));                      // -a       1-b
+  auto ln = (sum/sub).log();                                        // ln((i + z)/(i - z))
+  return i_half*ln;                                                 // i/2*ln()
+}
+
+template <>
+Vectorized<c10::complex<double>> inline maximum(const Vectorized<c10::complex<double>>& a,
+                                               const Vectorized<c10::complex<double>>& b) {
+  auto zero_vec = _mm512_set1_epi64(0);
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  auto mask = _mm512_cmp_pd_mask(abs_a, abs_b, _CMP_LT_OQ);
+  auto max = _mm512_mask_blend_pd(mask, a, b);
+  // Exploit the fact that all-ones is a NaN.
+  auto isnan_mask = _mm512_cmp_pd_mask(abs_a, abs_b, _CMP_UNORD_Q);
+  auto isnan = _mm512_mask_set1_epi64(zero_vec, isnan_mask,
+                                      0xFFFFFFFFFFFFFFFF);
+  return _mm512_or_pd(max, _mm512_castsi512_pd(isnan));
+}
+
+template <>
+Vectorized<c10::complex<double>> inline minimum(const Vectorized<c10::complex<double>>& a,
+                                               const Vectorized<c10::complex<double>>& b) {
+  auto zero_vec = _mm512_set1_epi64(0);
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  auto mask = _mm512_cmp_pd_mask(abs_a, abs_b, _CMP_GT_OQ);
+  auto min = _mm512_mask_blend_pd(mask, a, b);
+  // Exploit the fact that all-ones is a NaN.
+  auto isnan_mask = _mm512_cmp_pd_mask(abs_a, abs_b, _CMP_UNORD_Q);
+  auto isnan = _mm512_mask_set1_epi64(zero_vec, isnan_mask,
+                                      0xFFFFFFFFFFFFFFFF);
+  return _mm512_or_pd(min, _mm512_castsi512_pd(isnan));
+}
+
+template <>
+Vectorized<c10::complex<double>> inline operator&(const Vectorized<c10::complex<double>>& a,
+                                                 const Vectorized<c10::complex<double>>& b) {
+  return _mm512_and_pd(a, b);
+}
+
+template <>
+Vectorized<c10::complex<double>> inline operator|(const Vectorized<c10::complex<double>>& a,
+                                                 const Vectorized<c10::complex<double>>& b) {
+  return _mm512_or_pd(a, b);
+}
+
+template <>
+Vectorized<c10::complex<double>> inline operator^(const Vectorized<c10::complex<double>>& a,
+                                                 const Vectorized<c10::complex<double>>& b) {
+  return _mm512_xor_pd(a, b);
+}
+
+inline Vectorized<c10::complex<double>> Vectorized<c10::complex<double>>::eq(const Vectorized<c10::complex<double>>& other) const {
+  auto eq = (*this == other);  // compares real and imag individually
+  // If both real numbers and imag numbers are equal, then the complex numbers are equal
+  return (eq.real() & eq.imag()) & Vectorized<c10::complex<double>>(_mm512_set1_pd(1.0));
+}
+
+inline Vectorized<c10::complex<double>> Vectorized<c10::complex<double>>::ne(const Vectorized<c10::complex<double>>& other) const {
+  auto ne = (*this != other);  // compares real and imag individually
+  // If either real numbers or imag numbers are not equal, then the complex numbers are not equal
+  return (ne.real() | ne.imag()) & Vectorized<c10::complex<double>>(_mm512_set1_pd(1.0));
+}
+
+#endif
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_complex_float.h

@@ -0,0 +1,1018 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <c10/util/complex.h>
+#include <c10/util/irange.h>
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#include <sleef.h>
+#endif
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+template <> class Vectorized<c10::complex<float>> {
+private:
+  __m512 values;
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+public:
+  using value_type = c10::complex<float>;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 8;
+  }
+  Vectorized() {}
+  Vectorized(__m512 v) : values(v) {}
+  Vectorized(c10::complex<float> val) {
+    float real_value = val.real();
+    float imag_value = val.imag();
+    values = _mm512_setr_ps(real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value,
+                            real_value, imag_value);
+  }
+  Vectorized(c10::complex<float> val1, c10::complex<float> val2,
+            c10::complex<float> val3, c10::complex<float> val4,
+            c10::complex<float> val5, c10::complex<float> val6,
+            c10::complex<float> val7, c10::complex<float> val8) {
+    values = _mm512_setr_ps(val1.real(), val1.imag(),
+                            val2.real(), val2.imag(),
+                            val3.real(), val3.imag(),
+                            val4.real(), val4.imag(),
+                            val5.real(), val5.imag(),
+                            val6.real(), val6.imag(),
+                            val7.real(), val7.imag(),
+                            val8.real(), val8.imag());
+  }
+  operator __m512() const {
+    return values;
+  }
+  template <int64_t mask>
+  static Vectorized<c10::complex<float>> blend(const Vectorized<c10::complex<float>>& a,
+                                              const Vectorized<c10::complex<float>>& b) {
+    // convert c10::complex<V> index mask to V index mask: xy -> xxyy
+    static_assert(mask > -1 && mask < 256, "Unexpected mask value");
+    // The compiler would hopefully convert this switch condition
+    // into a jump table
+    switch (mask) {
+      case 0:
+        return a;
+      case 1:
+        return _mm512_mask_blend_ps(0x03, a.values, b.values);
+      case 2:
+        return _mm512_mask_blend_ps(0x0C, a.values, b.values);
+      case 3:
+        return _mm512_mask_blend_ps(0x0F, a.values, b.values);
+      case 4:
+        return _mm512_mask_blend_ps(0x30, a.values, b.values);
+      case 5:
+        return _mm512_mask_blend_ps(0x33, a.values, b.values);
+      case 6:
+        return _mm512_mask_blend_ps(0x3C, a.values, b.values);
+      case 7:
+        return _mm512_mask_blend_ps(0x3F, a.values, b.values);
+      case 8:
+        return _mm512_mask_blend_ps(0xC0, a.values, b.values);
+      case 9:
+        return _mm512_mask_blend_ps(0xC3, a.values, b.values);
+      case 10:
+        return _mm512_mask_blend_ps(0xCC, a.values, b.values);
+      case 11:
+        return _mm512_mask_blend_ps(0xCF, a.values, b.values);
+      case 12:
+        return _mm512_mask_blend_ps(0xF0, a.values, b.values);
+      case 13:
+        return _mm512_mask_blend_ps(0xF3, a.values, b.values);
+      case 14:
+        return _mm512_mask_blend_ps(0xFC, a.values, b.values);
+      case 15:
+        return _mm512_mask_blend_ps(0xFF, a.values, b.values);
+      case 16:
+        return _mm512_mask_blend_ps(0x300, a.values, b.values);
+      case 17:
+        return _mm512_mask_blend_ps(0x303, a.values, b.values);
+      case 18:
+        return _mm512_mask_blend_ps(0x30C, a.values, b.values);
+      case 19:
+        return _mm512_mask_blend_ps(0x30F, a.values, b.values);
+      case 20:
+        return _mm512_mask_blend_ps(0x330, a.values, b.values);
+      case 21:
+        return _mm512_mask_blend_ps(0x333, a.values, b.values);
+      case 22:
+        return _mm512_mask_blend_ps(0x33C, a.values, b.values);
+      case 23:
+        return _mm512_mask_blend_ps(0x33F, a.values, b.values);
+      case 24:
+        return _mm512_mask_blend_ps(0x3C0, a.values, b.values);
+      case 25:
+        return _mm512_mask_blend_ps(0x3C3, a.values, b.values);
+      case 26:
+        return _mm512_mask_blend_ps(0x3CC, a.values, b.values);
+      case 27:
+        return _mm512_mask_blend_ps(0x3CF, a.values, b.values);
+      case 28:
+        return _mm512_mask_blend_ps(0x3F0, a.values, b.values);
+      case 29:
+        return _mm512_mask_blend_ps(0x3F3, a.values, b.values);
+      case 30:
+        return _mm512_mask_blend_ps(0x3FC, a.values, b.values);
+      case 31:
+        return _mm512_mask_blend_ps(0x3FF, a.values, b.values);
+      case 32:
+        return _mm512_mask_blend_ps(0xC00, a.values, b.values);
+      case 33:
+        return _mm512_mask_blend_ps(0xC03, a.values, b.values);
+      case 34:
+        return _mm512_mask_blend_ps(0xC0C, a.values, b.values);
+      case 35:
+        return _mm512_mask_blend_ps(0xC0F, a.values, b.values);
+      case 36:
+        return _mm512_mask_blend_ps(0xC30, a.values, b.values);
+      case 37:
+        return _mm512_mask_blend_ps(0xC33, a.values, b.values);
+      case 38:
+        return _mm512_mask_blend_ps(0xC3C, a.values, b.values);
+      case 39:
+        return _mm512_mask_blend_ps(0xC3F, a.values, b.values);
+      case 40:
+        return _mm512_mask_blend_ps(0xCC0, a.values, b.values);
+      case 41:
+        return _mm512_mask_blend_ps(0xCC3, a.values, b.values);
+      case 42:
+        return _mm512_mask_blend_ps(0xCCC, a.values, b.values);
+      case 43:
+        return _mm512_mask_blend_ps(0xCCF, a.values, b.values);
+      case 44:
+        return _mm512_mask_blend_ps(0xCF0, a.values, b.values);
+      case 45:
+        return _mm512_mask_blend_ps(0xCF3, a.values, b.values);
+      case 46:
+        return _mm512_mask_blend_ps(0xCFC, a.values, b.values);
+      case 47:
+        return _mm512_mask_blend_ps(0xCFF, a.values, b.values);
+      case 48:
+        return _mm512_mask_blend_ps(0xF00, a.values, b.values);
+      case 49:
+        return _mm512_mask_blend_ps(0xF03, a.values, b.values);
+      case 50:
+        return _mm512_mask_blend_ps(0xF0C, a.values, b.values);
+      case 51:
+        return _mm512_mask_blend_ps(0xF0F, a.values, b.values);
+      case 52:
+        return _mm512_mask_blend_ps(0xF30, a.values, b.values);
+      case 53:
+        return _mm512_mask_blend_ps(0xF33, a.values, b.values);
+      case 54:
+        return _mm512_mask_blend_ps(0xF3C, a.values, b.values);
+      case 55:
+        return _mm512_mask_blend_ps(0xF3F, a.values, b.values);
+      case 56:
+        return _mm512_mask_blend_ps(0xFC0, a.values, b.values);
+      case 57:
+        return _mm512_mask_blend_ps(0xFC3, a.values, b.values);
+      case 58:
+        return _mm512_mask_blend_ps(0xFCC, a.values, b.values);
+      case 59:
+        return _mm512_mask_blend_ps(0xFCF, a.values, b.values);
+      case 60:
+        return _mm512_mask_blend_ps(0xFF0, a.values, b.values);
+      case 61:
+        return _mm512_mask_blend_ps(0xFF3, a.values, b.values);
+      case 62:
+        return _mm512_mask_blend_ps(0xFFC, a.values, b.values);
+      case 63:
+        return _mm512_mask_blend_ps(0xFFF, a.values, b.values);
+      case 64:
+        return _mm512_mask_blend_ps(0x3000, a.values, b.values);
+      case 65:
+        return _mm512_mask_blend_ps(0x3003, a.values, b.values);
+      case 66:
+        return _mm512_mask_blend_ps(0x300C, a.values, b.values);
+      case 67:
+        return _mm512_mask_blend_ps(0x300F, a.values, b.values);
+      case 68:
+        return _mm512_mask_blend_ps(0x3030, a.values, b.values);
+      case 69:
+        return _mm512_mask_blend_ps(0x3033, a.values, b.values);
+      case 70:
+        return _mm512_mask_blend_ps(0x303C, a.values, b.values);
+      case 71:
+        return _mm512_mask_blend_ps(0x303F, a.values, b.values);
+      case 72:
+        return _mm512_mask_blend_ps(0x30C0, a.values, b.values);
+      case 73:
+        return _mm512_mask_blend_ps(0X30C3, a.values, b.values);
+      case 74:
+        return _mm512_mask_blend_ps(0x30CC, a.values, b.values);
+      case 75:
+        return _mm512_mask_blend_ps(0x30CF, a.values, b.values);
+      case 76:
+        return _mm512_mask_blend_ps(0x30F0, a.values, b.values);
+      case 77:
+        return _mm512_mask_blend_ps(0x30F3, a.values, b.values);
+      case 78:
+        return _mm512_mask_blend_ps(0x30FC, a.values, b.values);
+      case 79:
+        return _mm512_mask_blend_ps(0x30FF, a.values, b.values);
+      case 80:
+        return _mm512_mask_blend_ps(0x3300, a.values, b.values);
+      case 81:
+        return _mm512_mask_blend_ps(0X3303, a.values, b.values);
+      case 82:
+        return _mm512_mask_blend_ps(0x330C, a.values, b.values);
+      case 83:
+        return _mm512_mask_blend_ps(0x330F, a.values, b.values);
+      case 84:
+        return _mm512_mask_blend_ps(0x3330, a.values, b.values);
+      case 85:
+        return _mm512_mask_blend_ps(0x3333, a.values, b.values);
+      case 86:
+        return _mm512_mask_blend_ps(0x333C, a.values, b.values);
+      case 87:
+        return _mm512_mask_blend_ps(0X333F, a.values, b.values);
+      case 88:
+        return _mm512_mask_blend_ps(0x33C0, a.values, b.values);
+      case 89:
+        return _mm512_mask_blend_ps(0x33C3, a.values, b.values);
+      case 90:
+        return _mm512_mask_blend_ps(0x33CC, a.values, b.values);
+      case 91:
+        return _mm512_mask_blend_ps(0x33CF, a.values, b.values);
+      case 92:
+        return _mm512_mask_blend_ps(0x33F0, a.values, b.values);
+      case 93:
+        return _mm512_mask_blend_ps(0x33F3, a.values, b.values);
+      case 94:
+        return _mm512_mask_blend_ps(0x33FC, a.values, b.values);
+      case 95:
+        return _mm512_mask_blend_ps(0x33FF, a.values, b.values);
+      case 96:
+        return _mm512_mask_blend_ps(0X3C00, a.values, b.values);
+      case 97:
+        return _mm512_mask_blend_ps(0x3C03, a.values, b.values);
+      case 98:
+        return _mm512_mask_blend_ps(0x3C0C, a.values, b.values);
+      case 99:
+        return _mm512_mask_blend_ps(0x3C0F, a.values, b.values);
+      case 100:
+        return _mm512_mask_blend_ps(0x3C30, a.values, b.values);
+      case 101:
+        return _mm512_mask_blend_ps(0x3C33, a.values, b.values);
+      case 102:
+        return _mm512_mask_blend_ps(0x3C3C, a.values, b.values);
+      case 103:
+        return _mm512_mask_blend_ps(0x3C3F, a.values, b.values);
+      case 104:
+        return _mm512_mask_blend_ps(0x3CC0, a.values, b.values);
+      case 105:
+        return _mm512_mask_blend_ps(0x3CC3, a.values, b.values);
+      case 106:
+        return _mm512_mask_blend_ps(0x3CCC, a.values, b.values);
+      case 107:
+        return _mm512_mask_blend_ps(0x3CCF, a.values, b.values);
+      case 108:
+        return _mm512_mask_blend_ps(0x3CF0, a.values, b.values);
+      case 109:
+        return _mm512_mask_blend_ps(0x3CF3, a.values, b.values);
+      case 110:
+        return _mm512_mask_blend_ps(0x3CFC, a.values, b.values);
+      case 111:
+        return _mm512_mask_blend_ps(0x3CFF, a.values, b.values);
+      case 112:
+        return _mm512_mask_blend_ps(0x3F00, a.values, b.values);
+      case 113:
+        return _mm512_mask_blend_ps(0x3F03, a.values, b.values);
+      case 114:
+        return _mm512_mask_blend_ps(0x3F0C, a.values, b.values);
+      case 115:
+        return _mm512_mask_blend_ps(0x3F0F, a.values, b.values);
+      case 116:
+        return _mm512_mask_blend_ps(0x3F30, a.values, b.values);
+      case 117:
+        return _mm512_mask_blend_ps(0x3F33, a.values, b.values);
+      case 118:
+        return _mm512_mask_blend_ps(0x3F3C, a.values, b.values);
+      case 119:
+        return _mm512_mask_blend_ps(0x3F3F, a.values, b.values);
+      case 120:
+        return _mm512_mask_blend_ps(0x3FC0, a.values, b.values);
+      case 121:
+        return _mm512_mask_blend_ps(0x3FC3, a.values, b.values);
+      case 122:
+        return _mm512_mask_blend_ps(0x3FCC, a.values, b.values);
+      case 123:
+        return _mm512_mask_blend_ps(0x3FCF, a.values, b.values);
+      case 124:
+        return _mm512_mask_blend_ps(0x3FF0, a.values, b.values);
+      case 125:
+        return _mm512_mask_blend_ps(0x3FF3, a.values, b.values);
+      case 126:
+        return _mm512_mask_blend_ps(0x3FFC, a.values, b.values);
+      case 127:
+        return _mm512_mask_blend_ps(0x3FFF, a.values, b.values);
+      case 128:
+        return _mm512_mask_blend_ps(0xC000, a.values, b.values);
+      case 129:
+        return _mm512_mask_blend_ps(0xC003, a.values, b.values);
+      case 130:
+        return _mm512_mask_blend_ps(0xC00C, a.values, b.values);
+      case 131:
+        return _mm512_mask_blend_ps(0xC00F, a.values, b.values);
+      case 132:
+        return _mm512_mask_blend_ps(0xC030, a.values, b.values);
+      case 133:
+        return _mm512_mask_blend_ps(0xC033, a.values, b.values);
+      case 134:
+        return _mm512_mask_blend_ps(0xC03C, a.values, b.values);
+      case 135:
+        return _mm512_mask_blend_ps(0xC03F, a.values, b.values);
+      case 136:
+        return _mm512_mask_blend_ps(0xC0C0, a.values, b.values);
+      case 137:
+        return _mm512_mask_blend_ps(0xC0C3, a.values, b.values);
+      case 138:
+        return _mm512_mask_blend_ps(0xC0CC, a.values, b.values);
+      case 139:
+        return _mm512_mask_blend_ps(0xC0CF, a.values, b.values);
+      case 140:
+        return _mm512_mask_blend_ps(0xC0F0, a.values, b.values);
+      case 141:
+        return _mm512_mask_blend_ps(0xC0F3, a.values, b.values);
+      case 142:
+        return _mm512_mask_blend_ps(0xC0FC, a.values, b.values);
+      case 143:
+        return _mm512_mask_blend_ps(0xC0FF, a.values, b.values);
+      case 144:
+        return _mm512_mask_blend_ps(0xC300, a.values, b.values);
+      case 145:
+        return _mm512_mask_blend_ps(0xC303, a.values, b.values);
+      case 146:
+        return _mm512_mask_blend_ps(0xC30C, a.values, b.values);
+      case 147:
+        return _mm512_mask_blend_ps(0xC30F, a.values, b.values);
+      case 148:
+        return _mm512_mask_blend_ps(0xC330, a.values, b.values);
+      case 149:
+        return _mm512_mask_blend_ps(0xC333, a.values, b.values);
+      case 150:
+        return _mm512_mask_blend_ps(0xC33C, a.values, b.values);
+      case 151:
+        return _mm512_mask_blend_ps(0xC33F, a.values, b.values);
+      case 152:
+        return _mm512_mask_blend_ps(0xC3C0, a.values, b.values);
+      case 153:
+        return _mm512_mask_blend_ps(0xC3C3, a.values, b.values);
+      case 154:
+        return _mm512_mask_blend_ps(0xC3CC, a.values, b.values);
+      case 155:
+        return _mm512_mask_blend_ps(0xC3CF, a.values, b.values);
+      case 156:
+        return _mm512_mask_blend_ps(0xC3F0, a.values, b.values);
+      case 157:
+        return _mm512_mask_blend_ps(0xC3F3, a.values, b.values);
+      case 158:
+        return _mm512_mask_blend_ps(0xC3FC, a.values, b.values);
+      case 159:
+        return _mm512_mask_blend_ps(0xC3FF, a.values, b.values);
+      case 160:
+        return _mm512_mask_blend_ps(0xCC00, a.values, b.values);
+      case 161:
+        return _mm512_mask_blend_ps(0xCC03, a.values, b.values);
+      case 162:
+        return _mm512_mask_blend_ps(0xCC0C, a.values, b.values);
+      case 163:
+        return _mm512_mask_blend_ps(0xCC0F, a.values, b.values);
+      case 164:
+        return _mm512_mask_blend_ps(0xCC30, a.values, b.values);
+      case 165:
+        return _mm512_mask_blend_ps(0xCC33, a.values, b.values);
+      case 166:
+        return _mm512_mask_blend_ps(0xCC3C, a.values, b.values);
+      case 167:
+        return _mm512_mask_blend_ps(0xCC3F, a.values, b.values);
+      case 168:
+        return _mm512_mask_blend_ps(0xCCC0, a.values, b.values);
+      case 169:
+        return _mm512_mask_blend_ps(0xCCC3, a.values, b.values);
+      case 170:
+        return _mm512_mask_blend_ps(0xCCCC, a.values, b.values);
+      case 171:
+        return _mm512_mask_blend_ps(0xCCCF, a.values, b.values);
+      case 172:
+        return _mm512_mask_blend_ps(0xCCF0, a.values, b.values);
+      case 173:
+        return _mm512_mask_blend_ps(0xCCF3, a.values, b.values);
+      case 174:
+        return _mm512_mask_blend_ps(0xCCFC, a.values, b.values);
+      case 175:
+        return _mm512_mask_blend_ps(0xCCFF, a.values, b.values);
+      case 176:
+        return _mm512_mask_blend_ps(0xCF00, a.values, b.values);
+      case 177:
+        return _mm512_mask_blend_ps(0xCF03, a.values, b.values);
+      case 178:
+        return _mm512_mask_blend_ps(0xCF0C, a.values, b.values);
+      case 179:
+        return _mm512_mask_blend_ps(0xCF0F, a.values, b.values);
+      case 180:
+        return _mm512_mask_blend_ps(0xCF30, a.values, b.values);
+      case 181:
+        return _mm512_mask_blend_ps(0xCF33, a.values, b.values);
+      case 182:
+        return _mm512_mask_blend_ps(0xCF3C, a.values, b.values);
+      case 183:
+        return _mm512_mask_blend_ps(0xCF3F, a.values, b.values);
+      case 184:
+        return _mm512_mask_blend_ps(0xCFC0, a.values, b.values);
+      case 185:
+        return _mm512_mask_blend_ps(0xCFC3, a.values, b.values);
+      case 186:
+        return _mm512_mask_blend_ps(0xCFCC, a.values, b.values);
+      case 187:
+        return _mm512_mask_blend_ps(0xCFCF, a.values, b.values);
+      case 188:
+        return _mm512_mask_blend_ps(0xCFF0, a.values, b.values);
+      case 189:
+        return _mm512_mask_blend_ps(0xCFF3, a.values, b.values);
+      case 190:
+        return _mm512_mask_blend_ps(0xCFFC, a.values, b.values);
+      case 191:
+        return _mm512_mask_blend_ps(0xCFFF, a.values, b.values);
+      case 192:
+        return _mm512_mask_blend_ps(0xF000, a.values, b.values);
+      case 193:
+        return _mm512_mask_blend_ps(0xF003, a.values, b.values);
+      case 194:
+        return _mm512_mask_blend_ps(0xF00C, a.values, b.values);
+      case 195:
+        return _mm512_mask_blend_ps(0xF00F, a.values, b.values);
+      case 196:
+        return _mm512_mask_blend_ps(0xF030, a.values, b.values);
+      case 197:
+        return _mm512_mask_blend_ps(0xF033, a.values, b.values);
+      case 198:
+        return _mm512_mask_blend_ps(0xF03C, a.values, b.values);
+      case 199:
+        return _mm512_mask_blend_ps(0xF03F, a.values, b.values);
+      case 200:
+        return _mm512_mask_blend_ps(0XF0C0, a.values, b.values);
+      case 201:
+        return _mm512_mask_blend_ps(0xF0C3, a.values, b.values);
+      case 202:
+        return _mm512_mask_blend_ps(0xF0CC, a.values, b.values);
+      case 203:
+        return _mm512_mask_blend_ps(0xF0CF, a.values, b.values);
+      case 204:
+        return _mm512_mask_blend_ps(0xF0F0, a.values, b.values);
+      case 205:
+        return _mm512_mask_blend_ps(0xF0F3, a.values, b.values);
+      case 206:
+        return _mm512_mask_blend_ps(0xF0FC, a.values, b.values);
+      case 207:
+        return _mm512_mask_blend_ps(0xF0FF, a.values, b.values);
+      case 208:
+        return _mm512_mask_blend_ps(0XF300, a.values, b.values);
+      case 209:
+        return _mm512_mask_blend_ps(0xF303, a.values, b.values);
+      case 210:
+        return _mm512_mask_blend_ps(0xF30C, a.values, b.values);
+      case 211:
+        return _mm512_mask_blend_ps(0xF30F, a.values, b.values);
+      case 212:
+        return _mm512_mask_blend_ps(0xF330, a.values, b.values);
+      case 213:
+        return _mm512_mask_blend_ps(0xF333, a.values, b.values);
+      case 214:
+        return _mm512_mask_blend_ps(0XF33C, a.values, b.values);
+      case 215:
+        return _mm512_mask_blend_ps(0xF33F, a.values, b.values);
+      case 216:
+        return _mm512_mask_blend_ps(0xF3C0, a.values, b.values);
+      case 217:
+        return _mm512_mask_blend_ps(0xF3C3, a.values, b.values);
+      case 218:
+        return _mm512_mask_blend_ps(0xF3CC, a.values, b.values);
+      case 219:
+        return _mm512_mask_blend_ps(0xF3CF, a.values, b.values);
+      case 220:
+        return _mm512_mask_blend_ps(0xF3F0, a.values, b.values);
+      case 221:
+        return _mm512_mask_blend_ps(0xF3F3, a.values, b.values);
+      case 222:
+        return _mm512_mask_blend_ps(0xF3FC, a.values, b.values);
+      case 223:
+        return _mm512_mask_blend_ps(0XF3FF, a.values, b.values);
+      case 224:
+        return _mm512_mask_blend_ps(0xFC00, a.values, b.values);
+      case 225:
+        return _mm512_mask_blend_ps(0xFC03, a.values, b.values);
+      case 226:
+        return _mm512_mask_blend_ps(0xFC0C, a.values, b.values);
+      case 227:
+        return _mm512_mask_blend_ps(0xFC0F, a.values, b.values);
+      case 228:
+        return _mm512_mask_blend_ps(0xFC30, a.values, b.values);
+      case 229:
+        return _mm512_mask_blend_ps(0xFC33, a.values, b.values);
+      case 230:
+        return _mm512_mask_blend_ps(0xFC3C, a.values, b.values);
+      case 231:
+        return _mm512_mask_blend_ps(0xFC3F, a.values, b.values);
+      case 232:
+        return _mm512_mask_blend_ps(0xFCC0, a.values, b.values);
+      case 233:
+        return _mm512_mask_blend_ps(0xFCC3, a.values, b.values);
+      case 234:
+        return _mm512_mask_blend_ps(0xFCCC, a.values, b.values);
+      case 235:
+        return _mm512_mask_blend_ps(0xFCCF, a.values, b.values);
+      case 236:
+        return _mm512_mask_blend_ps(0xFCF0, a.values, b.values);
+      case 237:
+        return _mm512_mask_blend_ps(0xFCF3, a.values, b.values);
+      case 238:
+        return _mm512_mask_blend_ps(0xFCFC, a.values, b.values);
+      case 239:
+        return _mm512_mask_blend_ps(0xFCFF, a.values, b.values);
+      case 240:
+        return _mm512_mask_blend_ps(0xFF00, a.values, b.values);
+      case 241:
+        return _mm512_mask_blend_ps(0xFF03, a.values, b.values);
+      case 242:
+        return _mm512_mask_blend_ps(0xFF0C, a.values, b.values);
+      case 243:
+        return _mm512_mask_blend_ps(0xFF0F, a.values, b.values);
+      case 244:
+        return _mm512_mask_blend_ps(0xFF30, a.values, b.values);
+      case 245:
+        return _mm512_mask_blend_ps(0xFF33, a.values, b.values);
+      case 246:
+        return _mm512_mask_blend_ps(0xFF3C, a.values, b.values);
+      case 247:
+        return _mm512_mask_blend_ps(0xFF3F, a.values, b.values);
+      case 248:
+        return _mm512_mask_blend_ps(0xFFC0, a.values, b.values);
+      case 249:
+        return _mm512_mask_blend_ps(0xFFC3, a.values, b.values);
+      case 250:
+        return _mm512_mask_blend_ps(0xFFCC, a.values, b.values);
+      case 251:
+        return _mm512_mask_blend_ps(0xFFCF, a.values, b.values);
+      case 252:
+        return _mm512_mask_blend_ps(0xFFF0, a.values, b.values);
+      case 253:
+        return _mm512_mask_blend_ps(0xFFF3, a.values, b.values);
+      case 254:
+        return _mm512_mask_blend_ps(0xFFFC, a.values, b.values);
+      default: break;
+    }
+    return b;
+  }
+  static Vectorized<c10::complex<float>> blendv(const Vectorized<c10::complex<float>>& a,
+                                               const Vectorized<c10::complex<float>>& b,
+                                               const Vectorized<c10::complex<float>>& mask) {
+    // convert c10::complex<V> index mask to V index mask: xy -> xxyy
+    auto mask_ = _mm512_unpacklo_ps(mask.values, mask.values);
+    auto all_ones = _mm512_set1_epi32(0xFFFFFFFF);
+    auto mmask = _mm512_cmp_epi32_mask(_mm512_castps_si512(mask_), all_ones, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_ps(mmask, a.values, b.values);
+  }
+  template<typename step_t>
+  static Vectorized<c10::complex<float>> arange(c10::complex<float> base = 0.,
+                                               step_t step = static_cast<step_t>(1)) {
+    return Vectorized<c10::complex<float>>(base,
+                                        base + step,
+                                        base + c10::complex<float>(2)*step,
+                                        base + c10::complex<float>(3)*step,
+                                        base + c10::complex<float>(4)*step,
+                                        base + c10::complex<float>(5)*step,
+                                        base + c10::complex<float>(6)*step,
+                                        base + c10::complex<float>(7)*step);
+  }
+  static Vectorized<c10::complex<float>> set(const Vectorized<c10::complex<float>>& a,
+                                            const Vectorized<c10::complex<float>>& b,
+                            int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<c10::complex<float>> loadu(const void* ptr, int64_t count = size()) {
+    if (count == size())
+      return _mm512_loadu_ps(reinterpret_cast<const float*>(ptr));
+
+    __at_align__ float tmp_values[2*size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(2*size())) {
+      tmp_values[i] = 0.0;
+    }
+    std::memcpy(
+        tmp_values,
+        reinterpret_cast<const float*>(ptr),
+        count * sizeof(c10::complex<float>));
+    return _mm512_load_ps(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      _mm512_storeu_ps(reinterpret_cast<float*>(ptr), values);
+    } else if (count > 0) {
+      float tmp_values[2*size()];
+      _mm512_storeu_ps(reinterpret_cast<float*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(c10::complex<float>));
+    }
+  }
+  // AVX512 doesn't have horizontal add & horizontal sub instructions.
+  // TODO: hadd_pd() & hsub_pd() may have scope for improvement.
+  static inline __m512 hadd_ps(__m512 a, __m512 b) {
+  __m512i idx1 = _mm512_set_epi32(30, 14, 28, 12, 26, 10, 24, 8, 22, 6, 20, 4, 18, 2, 16, 0);
+  __m512i idx2 = _mm512_set_epi32(31, 15, 29, 13, 27, 11, 25, 9, 23, 7, 21, 5, 19, 3, 17, 1);
+  return _mm512_add_ps(_mm512_mask_permutex2var_ps(a, 0xffff, idx1, b),
+                       _mm512_mask_permutex2var_ps(a, 0xffff, idx2, b));
+  }
+  static inline __m512 hsub_ps(__m512 a, __m512 b) {
+  __m512i idx1 = _mm512_set_epi32(30, 14, 28, 12, 26, 10, 24, 8, 22, 6, 20, 4, 18, 2, 16, 0);
+  __m512i idx2 = _mm512_set_epi32(31, 15, 29, 13, 27, 11, 25, 9, 23, 7, 21, 5, 19, 3, 17, 1);
+  return _mm512_sub_ps(_mm512_mask_permutex2var_ps(a, 0xffff, idx1, b),
+                       _mm512_mask_permutex2var_ps(a, 0xffff, idx2, b));
+  }
+  const c10::complex<float>& operator[](int idx) const  = delete;
+  c10::complex<float>& operator[](int idx) = delete;
+  Vectorized<c10::complex<float>> map(c10::complex<float> (*const f)(const c10::complex<float> &)) const {
+    __at_align__ c10::complex<float> tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+  __m512 abs_2_() const {
+    auto val_2 = _mm512_mul_ps(values, values);     // a*a     b*b
+    auto ret = hadd_ps(val_2, val_2);               // a*a+b*b a*a+b*b
+    return ret;
+  }
+  __m512 abs_() const {
+    auto real = _mm512_moveldup_ps(values);    // real real
+    auto imag = _mm512_movehdup_ps(values);    // imag imag
+    return Sleef_hypotf16_u05(real, imag);     // abs  abs
+  }
+  Vectorized<c10::complex<float>> abs() const {
+    const __m512 real_mask = _mm512_castsi512_ps(_mm512_setr_epi32(0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000));
+    return _mm512_and_ps(abs_(), real_mask);        // abs     0
+  }
+  __m512 angle_() const {
+    //angle = atan2(b/a)
+    auto b_a = _mm512_permute_ps(values, 0xB1);     // b        a
+    return Sleef_atan2f16_u10(values, b_a);          // 90-angle angle
+  }
+  Vectorized<c10::complex<float>> angle() const {
+    const __m512 real_mask = _mm512_castsi512_ps(_mm512_setr_epi32(0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000));
+    auto angle = _mm512_permute_ps(angle_(), 0xB1); // angle    90-angle
+    return _mm512_and_ps(angle, real_mask);         // angle    0
+  }
+  Vectorized<c10::complex<float>> sgn() const {
+    auto abs = abs_();
+    auto zero = _mm512_setzero_ps();
+    auto mask = _mm512_cmp_ps_mask(abs, zero, _CMP_EQ_OQ);
+    auto div = values / abs;
+    return _mm512_mask_blend_ps(mask, div, zero);
+  }
+  __m512 real_() const {
+    const __m512 real_mask = _mm512_castsi512_ps(_mm512_setr_epi32(0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000,
+                                                                   0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0x00000000));
+    return _mm512_and_ps(values, real_mask);
+  }
+  Vectorized<c10::complex<float>> real() const {
+    return real_();
+  }
+  __m512 imag_() const {
+    const __m512 imag_mask = _mm512_castsi512_ps(_mm512_setr_epi32(0x00000000, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF,
+                                                                   0x00000000, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF,
+                                                                   0x00000000, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF,
+                                                                   0x00000000, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF));
+    return _mm512_and_ps(values, imag_mask);
+  }
+  Vectorized<c10::complex<float>> imag() const {
+    return _mm512_permute_ps(imag_(), 0xB1);        //b        a
+  }
+  __m512 conj_() const {
+    const __m512 sign_mask = _mm512_setr_ps(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0,
+                                            0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+    return _mm512_xor_ps(values, sign_mask);        // a       -b
+  }
+  Vectorized<c10::complex<float>> conj() const {
+    return conj_();
+  }
+  Vectorized<c10::complex<float>> log() const {
+    // Most trigonomic ops use the log() op to improve complex number performance.
+    return map(std::log);
+  }
+  Vectorized<c10::complex<float>> log2() const {
+    const __m512 log2_ = _mm512_set1_ps(std::log(2));
+    return _mm512_div_ps(log(), log2_);
+  }
+  Vectorized<c10::complex<float>> log10() const {
+    const __m512 log10_ = _mm512_set1_ps(std::log(10));
+    return _mm512_div_ps(log(), log10_);
+  }
+  Vectorized<c10::complex<float>> log1p() const {
+    return map(std::log1p);
+  }
+  Vectorized<c10::complex<float>> asin() const {
+    // asin(x)
+    // = -i*ln(iz + sqrt(1 -z^2))
+    // = -i*ln((ai - b) + sqrt(1 - (a + bi)*(a + bi)))
+    // = -i*ln((-b + ai) + sqrt(1 - (a**2 - b**2) - 2*abi))
+    const __m512 one = _mm512_set1_ps(1);
+
+    auto conj = conj_();
+    auto b_a = _mm512_permute_ps(conj, 0xB1);                         //-b        a
+    auto ab = _mm512_mul_ps(conj, b_a);                               //-ab       -ab
+    auto im = _mm512_add_ps(ab, ab);                                  //-2ab      -2ab
+
+    auto val_2 = _mm512_mul_ps(values, values);                       // a*a      b*b
+    auto re = hsub_ps(val_2, _mm512_permute_ps(val_2, 0xB1));  // a*a-b*b  b*b-a*a
+    re = _mm512_sub_ps(one, re);
+
+    auto root = Vectorized(_mm512_mask_blend_ps(0xAAAA, re, im)).sqrt();         //sqrt(re + i*im)
+    auto ln = Vectorized(_mm512_add_ps(b_a, root)).log();                 //ln(iz + sqrt())
+    return Vectorized(_mm512_permute_ps(ln.values, 0xB1)).conj();         //-i*ln()
+  }
+  Vectorized<c10::complex<float>> acos() const {
+    return map(std::acos);
+  }
+  Vectorized<c10::complex<float>> atan() const;
+  Vectorized<c10::complex<float>> atanh() const {
+    return map(std::atanh);
+  }
+  Vectorized<c10::complex<float>> exp() const {
+    //exp(a + bi)
+    // = exp(a)*(cos(b) + sin(b)i)
+    auto exp = Sleef_expf16_u10(values);                               //exp(a)           exp(b)
+    exp = _mm512_mask_blend_ps(0xAAAA, exp, _mm512_permute_ps(exp, 0xB1));   //exp(a)           exp(a)
+
+    auto sin_cos = Sleef_sincosf16_u10(values);                        //[sin(a), cos(a)] [sin(b), cos(b)]
+    auto cos_sin = _mm512_mask_blend_ps(0xAAAA, _mm512_permute_ps(sin_cos.y, 0xB1),
+                                   sin_cos.x);                  //cos(b)           sin(b)
+    return _mm512_mul_ps(exp, cos_sin);
+  }
+  Vectorized<c10::complex<float>> exp2() const {
+    // Use identity 2**x = exp(log(2) * x)
+    const __m512 ln_2 = _mm512_set1_ps(c10::ln_2<float>);
+    Vectorized<c10::complex<float>> scaled_values = _mm512_mul_ps(values, ln_2);
+    return scaled_values.exp();
+  }
+  Vectorized<c10::complex<float>> expm1() const {
+    return map(std::expm1);
+  }
+  Vectorized<c10::complex<float>> sin() const {
+    return map(std::sin);
+  }
+  Vectorized<c10::complex<float>> sinh() const {
+    return map(std::sinh);
+  }
+  Vectorized<c10::complex<float>> cos() const {
+    return map(std::cos);
+  }
+  Vectorized<c10::complex<float>> cosh() const {
+    return map(std::cosh);
+  }
+  Vectorized<c10::complex<float>> ceil() const {
+    return _mm512_ceil_ps(values);
+  }
+  Vectorized<c10::complex<float>> floor() const {
+    return _mm512_floor_ps(values);
+  }
+  Vectorized<c10::complex<float>> neg() const {
+    auto zero = _mm512_setzero_ps();
+    return _mm512_sub_ps(zero, values);
+  }
+  Vectorized<c10::complex<float>> round() const {
+    return _mm512_roundscale_ps(values, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<c10::complex<float>> tan() const {
+    return map(std::tan);
+  }
+  Vectorized<c10::complex<float>> tanh() const {
+    return map(std::tanh);
+  }
+  Vectorized<c10::complex<float>> trunc() const {
+    return _mm512_roundscale_ps(values, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<c10::complex<float>> sqrt() const {
+    return map(std::sqrt);
+  }
+  Vectorized<c10::complex<float>> reciprocal() const;
+  Vectorized<c10::complex<float>> rsqrt() const {
+    return sqrt().reciprocal();
+  }
+  Vectorized<c10::complex<float>> pow(const Vectorized<c10::complex<float>> &exp) const {
+    __at_align__ c10::complex<float> x_tmp[size()];
+    __at_align__ c10::complex<float> y_tmp[size()];
+    store(x_tmp);
+    exp.store(y_tmp);
+    for (const auto i : c10::irange(size())) {
+      x_tmp[i] = std::pow(x_tmp[i], y_tmp[i]);
+    }
+    return loadu(x_tmp);
+  }
+  // Comparison using the _CMP_**_OQ predicate.
+  //   `O`: get false if an operand is NaN
+  //   `Q`: do not raise if an operand is NaN
+  Vectorized<c10::complex<float>> operator==(const Vectorized<c10::complex<float>>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_EQ_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF));
+  }
+  Vectorized<c10::complex<float>> operator!=(const Vectorized<c10::complex<float>>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_NEQ_UQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF));
+  }
+  Vectorized<c10::complex<float>> operator<(const Vectorized<c10::complex<float>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<float>> operator<=(const Vectorized<c10::complex<float>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<float>> operator>(const Vectorized<c10::complex<float>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+  Vectorized<c10::complex<float>> operator>=(const Vectorized<c10::complex<float>>& other) const {
+    TORCH_CHECK(false, "not supported for complex numbers");
+  }
+
+  Vectorized<c10::complex<float>> eq(const Vectorized<c10::complex<float>>& other) const;
+  Vectorized<c10::complex<float>> ne(const Vectorized<c10::complex<float>>& other) const;
+};
+
+template <> Vectorized<c10::complex<float>> inline operator+(const Vectorized<c10::complex<float>> &a,
+                                                            const Vectorized<c10::complex<float>> &b) {
+  return _mm512_add_ps(a, b);
+}
+
+template <> Vectorized<c10::complex<float>> inline operator-(const Vectorized<c10::complex<float>> &a,
+                                                            const Vectorized<c10::complex<float>> &b) {
+  return _mm512_sub_ps(a, b);
+}
+
+template <> Vectorized<c10::complex<float>> inline operator*(const Vectorized<c10::complex<float>> &a,
+                                                            const Vectorized<c10::complex<float>> &b) {
+  //(a + bi)  * (c + di) = (ac - bd) + (ad + bc)i
+  const __m512 sign_mask = _mm512_setr_ps(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0,
+                                          0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+  auto ac_bd = _mm512_mul_ps(a, b);         //ac       bd
+
+  auto d_c = _mm512_permute_ps(b, 0xB1);    //d        c
+  d_c = _mm512_xor_ps(sign_mask, d_c);      //d       -c
+  auto ad_bc = _mm512_mul_ps(a, d_c);       //ad      -bc
+
+  auto ret = Vectorized<c10::complex<float>>::hsub_ps(ac_bd, ad_bc);  //ac - bd  ad + bc
+  return ret;
+}
+
+template <> Vectorized<c10::complex<float>> inline operator/(const Vectorized<c10::complex<float>> &a,
+                                                            const Vectorized<c10::complex<float>> &b) {
+  //re + im*i = (a + bi)  / (c + di)
+  auto mask = _mm512_set1_ps(-0.f);
+  auto fabs_cd = _mm512_andnot_ps(mask, b);     // |c|    |d|
+  auto fabs_dc = _mm512_permute_ps(fabs_cd, 0xB1);   // |d|    |c|
+  auto scale = _mm512_rcp14_ps(_mm512_max_ps(fabs_cd, fabs_dc));  // 1/sc     1/sc
+  auto a2 = _mm512_mul_ps(a, scale);         // a/sc     b/sc
+  auto b2 = _mm512_mul_ps(b, scale);         // c/sc     d/sc
+  auto acbd2 = _mm512_mul_ps(a2, b2);
+
+  const __m512 sign_mask = _mm512_setr_ps(-0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0,
+                                          -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0);
+  auto dc2 = _mm512_permute_ps(b2, 0xB1);    // d/sc         c/sc
+  dc2 = _mm512_xor_ps(sign_mask, dc2);       // -d/|c,d|        c/sc
+  auto adbc2 = _mm512_mul_ps(a2, dc2);       //-ad/sc^2      bc/sc^2
+  auto res2 = Vectorized<c10::complex<float>>::hadd_ps(acbd2, adbc2);  //(ac+bd)/sc^2  (bc-ad)/sc^2
+
+  // get the denominator
+  auto denom2 = Vectorized<c10::complex<float>>(b2).abs_2_();  // (c^2+d^2)/sc^2   (c^2+d^2)/sc^2
+  res2 = _mm512_div_ps(res2, denom2);
+  return res2;
+}
+
+// reciprocal. Implement this here so we can use multiplication.
+inline Vectorized<c10::complex<float>> Vectorized<c10::complex<float>>::reciprocal() const {
+  //re + im*i = (a + bi)  / (c + di)
+  //re = (ac + bd)/abs_2() = c/abs_2()
+  //im = (bc - ad)/abs_2() = d/abs_2()
+  const __m512 sign_mask = _mm512_setr_ps(0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0,
+                                          0.0, -0.0, 0.0, -0.0, 0.0, -0.0, 0.0, -0.0);
+  auto c_d = _mm512_xor_ps(sign_mask, values);    //c       -d
+  return _mm512_div_ps(c_d, abs_2_());
+}
+
+inline Vectorized<c10::complex<float>> Vectorized<c10::complex<float>>::atan() const {
+  // atan(x) = i/2 * ln((i + z)/(i - z))
+  const __m512 i = _mm512_setr_ps(0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0,
+                                  0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);
+  const Vectorized i_half = _mm512_setr_ps(0.0, 0.5, 0.0, 0.5, 0.0, 0.5, 0.0, 0.5,
+                                          0.0, 0.5, 0.0, 0.5, 0.0, 0.5, 0.0, 0.5);
+
+  auto sum = Vectorized(_mm512_add_ps(i, values));                      // a        1+b
+  auto sub = Vectorized(_mm512_sub_ps(i, values));                      // -a       1-b
+  auto ln = (sum/sub).log();                                        // ln((i + z)/(i - z))
+  return i_half*ln;                                                 // i/2*ln()
+}
+
+template <>
+Vectorized<c10::complex<float>> inline maximum(const Vectorized<c10::complex<float>>& a,
+                                              const Vectorized<c10::complex<float>>& b) {
+  auto zero_vector = _mm512_set1_epi32(0);
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  auto mask = _mm512_cmp_ps_mask(abs_a, abs_b, _CMP_LT_OQ);
+  auto max = _mm512_mask_blend_ps(mask, a, b);
+  // Exploit the fact that all-ones is a NaN.
+  auto isnan_mask = _mm512_cmp_ps_mask(abs_a, abs_b, _CMP_UNORD_Q);
+  auto isnan = _mm512_mask_set1_epi32(zero_vector, isnan_mask, 0xFFFFFFFF);
+  return _mm512_or_ps(max, _mm512_castsi512_ps(isnan));
+}
+
+template <>
+Vectorized<c10::complex<float>> inline minimum(const Vectorized<c10::complex<float>>& a,
+                                              const Vectorized<c10::complex<float>>& b) {
+  auto zero_vector = _mm512_set1_epi32(0);
+  auto abs_a = a.abs_2_();
+  auto abs_b = b.abs_2_();
+  auto mask = _mm512_cmp_ps_mask(abs_a, abs_b, _CMP_GT_OQ);
+  auto min = _mm512_mask_blend_ps(mask, a, b);
+  // Exploit the fact that all-ones is a NaN.
+  auto isnan_mask = _mm512_cmp_ps_mask(abs_a, abs_b, _CMP_UNORD_Q);
+  auto isnan = _mm512_mask_set1_epi32(zero_vector, isnan_mask, 0xFFFFFFFF);
+  return _mm512_or_ps(min, _mm512_castsi512_ps(isnan));
+}
+
+template <>
+Vectorized<c10::complex<float>> inline operator&(const Vectorized<c10::complex<float>>& a,
+                                                const Vectorized<c10::complex<float>>& b) {
+  return _mm512_and_ps(a, b);
+}
+
+template <>
+Vectorized<c10::complex<float>> inline operator|(const Vectorized<c10::complex<float>>& a,
+                                                const Vectorized<c10::complex<float>>& b) {
+  return _mm512_or_ps(a, b);
+}
+
+template <>
+Vectorized<c10::complex<float>> inline operator^(const Vectorized<c10::complex<float>>& a,
+                                                const Vectorized<c10::complex<float>>& b) {
+  return _mm512_xor_ps(a, b);
+}
+
+inline Vectorized<c10::complex<float>> Vectorized<c10::complex<float>>::eq(
+    const Vectorized<c10::complex<float>>& other) const {
+  auto eq = (*this == other);  // compares real and imag individually
+  // If both real numbers and imag numbers are equal, then the complex numbers are equal
+  return (eq.real() & eq.imag()) & Vectorized<c10::complex<float>>(_mm512_set1_ps(1.0f));
+}
+
+inline Vectorized<c10::complex<float>> Vectorized<c10::complex<float>>::ne(
+    const Vectorized<c10::complex<float>>& other) const {
+  auto ne = (*this != other);  // compares real and imag individually
+  // If either real numbers or imag numbers are not equal, then the complex numbers are not equal
+  return (ne.real() | ne.imag()) & Vectorized<c10::complex<float>>(_mm512_set1_ps(1.0f));
+}
+
+#endif
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_double.h

@@ -0,0 +1,469 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <c10/util/irange.h>
+#if (defined(CPU_CAPABILITY_AVX512)) && !defined(_MSC_VER)
+#include <sleef.h>
+#endif
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+template <> class Vectorized<double> {
+private:
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+public:
+  // values needs to be public for compilation with clang
+  // as vec512.h uses it
+  __m512d values;
+  using value_type = double;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 8;
+  }
+  Vectorized() {}
+  Vectorized(__m512d v) : values(v) {}
+  Vectorized(double val) {
+    values = _mm512_set1_pd(val);
+  }
+  Vectorized(double val1, double val2, double val3, double val4,
+         double val5, double val6, double val7, double val8) {
+    values = _mm512_setr_pd(val1, val2, val3, val4, val5, val6, val7, val8);
+  }
+  operator __m512d() const {
+    return values;
+  }
+  template <int64_t mask>
+  static Vectorized<double> blend(const Vectorized<double>& a, const Vectorized<double>& b) {
+    return _mm512_mask_blend_pd(mask, a.values, b.values);
+  }
+  static Vectorized<double> blendv(const Vectorized<double>& a, const Vectorized<double>& b,
+                               const Vectorized<double>& mask) {
+    auto all_ones = _mm512_set1_epi64(0xFFFFFFFFFFFFFFFF);
+    auto mmask = _mm512_cmp_epi64_mask(_mm512_castpd_si512(mask.values), all_ones, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_pd(mmask, a.values, b.values);
+  }
+  template<typename step_t>
+  static Vectorized<double> arange(double base = 0., step_t step = static_cast<step_t>(1)) {
+    return Vectorized<double>(base, base + step, base + 2 * step, base + 3 * step,
+                          base + 4 * step, base + 5 * step, base + 6 * step,
+                          base + 7 * step);
+  }
+  static Vectorized<double> set(const Vectorized<double>& a, const Vectorized<double>& b,
+                            int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<double> loadu(const void* ptr, int64_t count = size()) {
+    if (count == size())
+      return _mm512_loadu_pd(reinterpret_cast<const double*>(ptr));
+
+
+    __at_align__ double tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0.0;
+    }
+    std::memcpy(
+        tmp_values,
+        reinterpret_cast<const double*>(ptr),
+        count * sizeof(double));
+    return _mm512_load_pd(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      _mm512_storeu_pd(reinterpret_cast<double*>(ptr), values);
+    } else if (count > 0) {
+      double tmp_values[size()];
+      _mm512_storeu_pd(reinterpret_cast<double*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(double));
+    }
+  }
+  const double& operator[](int idx) const  = delete;
+  double& operator[](int idx) = delete;
+  int zero_mask() const {
+    // returns an integer mask where all zero elements are translated to 1-bit and others are translated to 0-bit
+    __mmask8 cmp = _mm512_cmp_pd_mask(values, _mm512_set1_pd(0.0), _CMP_EQ_OQ);
+    return static_cast<int32_t>(cmp);
+  }
+  Vectorized<double> isnan() const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, _mm512_set1_pd(0.0), _CMP_UNORD_Q);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+  Vectorized<double> map(double (*const f)(double)) const {
+    __at_align__ double tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<double> abs() const {
+    auto mask = _mm512_set1_pd(-0.f);
+    return _mm512_andnot_pd(mask, values);
+  }
+  Vectorized<double> angle() const {
+    const auto zero_vec = _mm512_castsi512_pd(zero_vector);
+    const auto nan_vec = _mm512_set1_pd(NAN);
+    const auto not_nan_mask = _mm512_cmp_pd_mask(values, values, _CMP_EQ_OQ);
+    const auto not_nan = _mm512_mask_set1_epi64(zero_vector, not_nan_mask,
+                                                0xFFFFFFFFFFFFFFFF);
+    const auto nan_mask = _mm512_cmp_pd_mask(_mm512_castsi512_pd(not_nan),
+                                             zero_vec, _CMP_EQ_OQ);
+    const auto pi = _mm512_set1_pd(c10::pi<double>);
+
+    const auto neg_mask = _mm512_cmp_pd_mask(values, zero_vec, _CMP_LT_OQ);
+    auto angle = _mm512_mask_blend_pd(neg_mask, zero_vec, pi);
+    angle = _mm512_mask_blend_pd(nan_mask, angle, nan_vec);
+    return angle;
+  }
+  Vectorized<double> real() const {
+    return *this;
+  }
+  Vectorized<double> imag() const {
+    return _mm512_set1_pd(0);
+  }
+  Vectorized<double> conj() const {
+    return *this;
+  }
+  Vectorized<double> acos() const {
+    return Vectorized<double>(Sleef_acosd8_u10(values));
+  }
+  Vectorized<double> asin() const {
+    return Vectorized<double>(Sleef_asind8_u10(values));
+  }
+  Vectorized<double> atan() const {
+    return Vectorized<double>(Sleef_atand8_u10(values));
+  }
+  Vectorized<double> atanh() const {
+    return Vectorized<double>(Sleef_atanhd8_u10(values));
+  }
+  Vectorized<double> atan2(const Vectorized<double> &b) const {
+    return Vectorized<double>(Sleef_atan2d8_u10(values, b));
+  }
+  Vectorized<double> copysign(const Vectorized<double> &sign) const {
+    return Vectorized<double>(Sleef_copysignd8(values, sign));
+  }
+  Vectorized<double> erf() const {
+    return Vectorized<double>(Sleef_erfd8_u10(values));
+  }
+  Vectorized<double> erfc() const {
+    return Vectorized<double>(Sleef_erfcd8_u15(values));
+  }
+  Vectorized<double> erfinv() const {
+    return map(calc_erfinv);
+  }
+  Vectorized<double> exp() const {
+    return Vectorized<double>(Sleef_expd8_u10(values));
+  }
+  Vectorized<double> exp2() const {
+    return Vectorized<double>(Sleef_exp2d8_u10(values));
+  }
+  Vectorized<double> expm1() const {
+    return Vectorized<double>(Sleef_expm1d8_u10(values));
+  }
+  Vectorized<double> fmod(const Vectorized<double>& q) const {
+    return Vectorized<double>(Sleef_fmodd8(values, q));
+  }
+  Vectorized<double> hypot(const Vectorized<double> &b) const {
+    return Vectorized<double>(Sleef_hypotd8_u05(values, b));
+  }
+  Vectorized<double> i0() const {
+    return map(calc_i0);
+  }
+  Vectorized<double> i0e() const {
+    return map(calc_i0e);
+  }
+  Vectorized<double> digamma() const {
+    return map(calc_digamma);
+  }
+  Vectorized<double> igamma(const Vectorized<double> &x) const {
+    __at_align__ double tmp[size()];
+    __at_align__ double tmp_x[size()];
+    store(tmp);
+    x.store(tmp_x);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = calc_igamma(tmp[i], tmp_x[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<double> igammac(const Vectorized<double> &x) const {
+    __at_align__ double tmp[size()];
+    __at_align__ double tmp_x[size()];
+    store(tmp);
+    x.store(tmp_x);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = calc_igammac(tmp[i], tmp_x[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<double> log() const {
+    return Vectorized<double>(Sleef_logd8_u10(values));
+  }
+  Vectorized<double> log2() const {
+    return Vectorized<double>(Sleef_log2d8_u10(values));
+  }
+  Vectorized<double> log10() const {
+    return Vectorized<double>(Sleef_log10d8_u10(values));
+  }
+  Vectorized<double> log1p() const {
+    return Vectorized<double>(Sleef_log1pd8_u10(values));
+  }
+  Vectorized<double> sin() const {
+    return Vectorized<double>(Sleef_sind8_u10(values));
+  }
+  Vectorized<double> sinh() const {
+    return Vectorized<double>(Sleef_sinhd8_u10(values));
+  }
+  Vectorized<double> cos() const {
+    return Vectorized<double>(Sleef_cosd8_u10(values));
+  }
+  Vectorized<double> cosh() const {
+    return Vectorized<double>(Sleef_coshd8_u10(values));
+  }
+  Vectorized<double> ceil() const {
+    return _mm512_ceil_pd(values);
+  }
+  Vectorized<double> floor() const {
+    return _mm512_floor_pd(values);
+  }
+  Vectorized<double> frac() const;
+  Vectorized<double> neg() const {
+    return _mm512_xor_pd(_mm512_set1_pd(-0.), values);
+  }
+  Vectorized<double> nextafter(const Vectorized<double> &b) const {
+    return Vectorized<double>(Sleef_nextafterd8(values, b));
+  }
+  Vectorized<double> round() const {
+    return _mm512_roundscale_pd(values, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<double> tan() const {
+    return Vectorized<double>(Sleef_tand8_u10(values));
+  }
+  Vectorized<double> tanh() const {
+    return Vectorized<double>(Sleef_tanhd8_u10(values));
+  }
+  Vectorized<double> trunc() const {
+    return _mm512_roundscale_pd(values, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<double> lgamma() const {
+    return Vectorized<double>(Sleef_lgammad8_u10(values));
+  }
+  Vectorized<double> sqrt() const {
+    return _mm512_sqrt_pd(values);
+  }
+  Vectorized<double> reciprocal() const {
+    return _mm512_div_pd(_mm512_set1_pd(1), values);
+  }
+  Vectorized<double> rsqrt() const {
+    return _mm512_div_pd(_mm512_set1_pd(1), _mm512_sqrt_pd(values));
+  }
+  Vectorized<double> pow(const Vectorized<double> &b) const {
+    return Vectorized<double>(Sleef_powd8_u10(values, b));
+  }
+  // Comparison using the _CMP_**_OQ predicate.
+  //   `O`: get false if an operand is NaN
+  //   `Q`: do not raise if an operand is NaN
+  Vectorized<double> operator==(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_EQ_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> operator!=(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_NEQ_UQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> operator<(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_LT_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> operator<=(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_LE_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> operator>(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_GT_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> operator>=(const Vectorized<double>& other) const {
+    auto cmp_mask = _mm512_cmp_pd_mask(values, other.values, _CMP_GE_OQ);
+    return _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vector, cmp_mask,
+                                                      0xFFFFFFFFFFFFFFFF));
+  }
+
+  Vectorized<double> eq(const Vectorized<double>& other) const;
+  Vectorized<double> ne(const Vectorized<double>& other) const;
+  Vectorized<double> lt(const Vectorized<double>& other) const;
+  Vectorized<double> le(const Vectorized<double>& other) const;
+  Vectorized<double> gt(const Vectorized<double>& other) const;
+  Vectorized<double> ge(const Vectorized<double>& other) const;
+};
+
+template <>
+Vectorized<double> inline operator+(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_add_pd(a, b);
+}
+
+template <>
+Vectorized<double> inline operator-(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_sub_pd(a, b);
+}
+
+template <>
+Vectorized<double> inline operator*(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_mul_pd(a, b);
+}
+
+template <>
+Vectorized<double> inline operator/(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_div_pd(a, b);
+}
+
+// frac. Implement this here so we can use subtraction.
+inline Vectorized<double> Vectorized<double>::frac() const {
+  return *this - this->trunc();
+}
+
+// Implements the IEEE 754 201X `maximum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<double> inline maximum(const Vectorized<double>& a, const Vectorized<double>& b) {
+  auto zero_vec = _mm512_set1_epi64(0);
+  Vectorized<double> max = _mm512_max_pd(a, b);
+  auto isnan_mask = _mm512_cmp_pd_mask(a, b, _CMP_UNORD_Q);
+  auto isnan = _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vec, isnan_mask,
+                                                          0xFFFFFFFFFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  return _mm512_or_pd(max, isnan);
+}
+
+// Implements the IEEE 754 201X `minimum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<double> inline minimum(const Vectorized<double>& a, const Vectorized<double>& b) {
+  auto zero_vec = _mm512_set1_epi64(0);
+  Vectorized<double> min = _mm512_min_pd(a, b);
+  auto isnan_mask = _mm512_cmp_pd_mask(a, b, _CMP_UNORD_Q);
+  auto isnan = _mm512_castsi512_pd(_mm512_mask_set1_epi64(zero_vec, isnan_mask,
+                                                          0xFFFFFFFFFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  return _mm512_or_pd(min, isnan);
+}
+
+template <>
+Vectorized<double> inline clamp(const Vectorized<double>& a, const Vectorized<double>& min, const Vectorized<double>& max) {
+  return _mm512_min_pd(max, _mm512_max_pd(min, a));
+}
+
+template <>
+Vectorized<double> inline clamp_min(const Vectorized<double>& a, const Vectorized<double>& min) {
+  return _mm512_max_pd(min, a);
+}
+
+template <>
+Vectorized<double> inline clamp_max(const Vectorized<double>& a, const Vectorized<double>& max) {
+  return _mm512_min_pd(max, a);
+}
+
+template <>
+Vectorized<double> inline operator&(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_and_pd(a, b);
+}
+
+template <>
+Vectorized<double> inline operator|(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_or_pd(a, b);
+}
+
+template <>
+Vectorized<double> inline operator^(const Vectorized<double>& a, const Vectorized<double>& b) {
+  return _mm512_xor_pd(a, b);
+}
+
+inline Vectorized<double> Vectorized<double>::eq(const Vectorized<double>& other) const {
+  return (*this == other) & Vectorized<double>(1.0);
+}
+
+inline Vectorized<double> Vectorized<double>::ne(const Vectorized<double>& other) const {
+  return (*this != other) & Vectorized<double>(1.0);
+}
+
+inline Vectorized<double> Vectorized<double>::gt(const Vectorized<double>& other) const {
+  return (*this > other) & Vectorized<double>(1.0);
+}
+
+inline Vectorized<double> Vectorized<double>::ge(const Vectorized<double>& other) const {
+  return (*this >= other) & Vectorized<double>(1.0);
+}
+
+inline Vectorized<double> Vectorized<double>::lt(const Vectorized<double>& other) const {
+  return (*this < other) & Vectorized<double>(1.0);
+}
+
+inline Vectorized<double> Vectorized<double>::le(const Vectorized<double>& other) const {
+  return (*this <= other) & Vectorized<double>(1.0);
+}
+
+template <>
+inline void convert(const double* src, double* dst, int64_t n) {
+  int64_t i;
+#pragma unroll
+  for (i = 0; i <= (n - Vectorized<double>::size()); i += Vectorized<double>::size()) {
+    _mm512_storeu_pd(dst + i, _mm512_loadu_pd(src + i));
+  }
+#pragma unroll
+  for (; i < n; i++) {
+    dst[i] = src[i];
+  }
+}
+
+template <>
+Vectorized<double> inline fmadd(const Vectorized<double>& a, const Vectorized<double>& b, const Vectorized<double>& c) {
+  return _mm512_fmadd_pd(a, b, c);
+}
+
+template <>
+Vectorized<double> inline fmsub(const Vectorized<double>& a, const Vectorized<double>& b, const Vectorized<double>& c) {
+  return _mm512_fmsub_pd(a, b, c);
+}
+
+#endif
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_float.h

@@ -0,0 +1,730 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <c10/util/irange.h>
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+#include <sleef.h>
+#endif
+
+namespace at {
+namespace vec {
+// See Note [CPU_CAPABILITY namespace]
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+template <> class Vectorized<float> {
+private:
+  static constexpr __m512i zero_vec {0, 0, 0, 0, 0, 0, 0, 0};
+public:
+  __m512 values;
+  using value_type = float;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 16;
+  }
+  Vectorized() {}
+  Vectorized(__m512 v) : values(v) {}
+  Vectorized(float val) {
+    values = _mm512_set1_ps(val);
+  }
+  Vectorized(float val1, float val2, float val3, float val4,
+         float val5, float val6, float val7, float val8,
+         float val9, float val10, float val11, float val12,
+         float val13, float val14, float val15, float val16) {
+    values = _mm512_setr_ps(val1, val2, val3, val4, val5, val6, val7, val8,
+                            val9, val10, val11, val12, val13, val14, val15, val16);
+  }
+  operator __m512() const {
+    return values;
+  }
+  template <int64_t mask>
+  static Vectorized<float> blend(const Vectorized<float>& a, const Vectorized<float>& b) {
+    return _mm512_mask_blend_ps(mask, a.values, b.values);
+  }
+  static Vectorized<float> blendv(const Vectorized<float>& a, const Vectorized<float>& b,
+                              const Vectorized<float>& mask) {
+    auto all_ones = _mm512_set1_epi32(0xFFFFFFFF);
+    auto mmask = _mm512_cmp_epi32_mask(_mm512_castps_si512(mask.values), all_ones, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_ps(mmask, a.values, b.values);
+  }
+  template<typename step_t>
+  static Vectorized<float> arange(float base = 0.f, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<float>(
+      base,            base +     step, base + 2 * step, base + 3 * step,
+      base + 4 * step, base + 5 * step, base + 6 * step, base + 7 * step,
+      base + 8 * step, base + 9 * step, base + 10 * step, base + 11 * step,
+      base + 12 * step, base + 13 * step, base + 14 * step, base + 15 * step);
+  }
+  static Vectorized<float> set(const Vectorized<float>& a, const Vectorized<float>& b,
+                           int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+      case 8:
+        return blend<255>(a, b);
+      case 9:
+        return blend<511>(a, b);
+      case 10:
+        return blend<1023>(a, b);
+      case 11:
+        return blend<2047>(a, b);
+      case 12:
+        return blend<4095>(a, b);
+      case 13:
+        return blend<8191>(a, b);
+      case 14:
+        return blend<16383>(a, b);
+      case 15:
+        return blend<32767>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<float> loadu(const void* ptr, int64_t count = size()) {
+    if (count == size())
+      return _mm512_loadu_ps(reinterpret_cast<const float*>(ptr));
+    __at_align__ float tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0.0;
+    }
+    std::memcpy(
+        tmp_values, reinterpret_cast<const float*>(ptr), count * sizeof(float));
+    return _mm512_loadu_ps(tmp_values);
+  }
+  void store(void* ptr, int64_t count = size()) const {
+    if (count == size()) {
+      _mm512_storeu_ps(reinterpret_cast<float*>(ptr), values);
+    } else if (count > 0) {
+      float tmp_values[size()];
+      _mm512_storeu_ps(reinterpret_cast<float*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(float));
+    }
+  }
+  const float& operator[](int idx) const  = delete;
+  float& operator[](int idx) = delete;
+  int zero_mask() const {
+    // returns an integer mask where all zero elements are translated to 1-bit and others are translated to 0-bit
+    __mmask16 cmp = _mm512_cmp_ps_mask(values, _mm512_set1_ps(0.0), _CMP_EQ_OQ);
+    return static_cast<int32_t>(cmp);
+  }
+  Vectorized<float> isnan() const {
+    auto mask =  _mm512_cmp_ps_mask(values, _mm512_set1_ps(0.0), _CMP_UNORD_Q);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+  Vectorized<float> map(float (*const f)(float)) const {
+    __at_align__ float tmp[size()];
+    store(tmp);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = f(tmp[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<float> abs() const {
+    auto mask = _mm512_set1_ps(-0.f);
+    return _mm512_andnot_ps(mask, values);
+  }
+  Vectorized<float> angle() const {
+    __m512 zero_vec = _mm512_set1_ps(0.f);
+    const auto nan_vec = _mm512_set1_ps(NAN);
+    const auto not_nan_mask = _mm512_cmp_ps_mask(values, values, _CMP_EQ_OQ);
+    const auto not_nan_vec = _mm512_mask_set1_epi32(_mm512_castps_si512(zero_vec),
+                                                    not_nan_mask, 0xFFFFFFFF);
+    const auto nan_mask = _mm512_cmp_ps_mask(_mm512_castsi512_ps(not_nan_vec),
+                                             zero_vec, _CMP_EQ_OQ);
+    const auto pi = _mm512_set1_ps(c10::pi<double>);
+
+    const auto neg_mask = _mm512_cmp_ps_mask(values, zero_vec, _CMP_LT_OQ);
+    auto angle = _mm512_mask_blend_ps(neg_mask, zero_vec, pi);
+    angle = _mm512_mask_blend_ps(nan_mask, angle, nan_vec);
+    return angle;
+  }
+  Vectorized<float> real() const {
+    return *this;
+  }
+  Vectorized<float> imag() const {
+    return _mm512_set1_ps(0);
+  }
+  Vectorized<float> conj() const {
+    return *this;
+  }
+  Vectorized<float> acos() const {
+    return Vectorized<float>(Sleef_acosf16_u10(values));
+  }
+  Vectorized<float> asin() const {
+    return Vectorized<float>(Sleef_asinf16_u10(values));
+  }
+  Vectorized<float> atan() const {
+    return Vectorized<float>(Sleef_atanf16_u10(values));
+  }
+  Vectorized<float> atanh() const {
+    return Vectorized<float>(Sleef_atanhf16_u10(values));
+  }
+  Vectorized<float> atan2(const Vectorized<float> &b) const {
+    return Vectorized<float>(Sleef_atan2f16_u10(values, b));
+  }
+  Vectorized<float> copysign(const Vectorized<float> &sign) const {
+    return Vectorized<float>(Sleef_copysignf16(values, sign));
+  }
+  Vectorized<float> erf() const {
+    // constants
+    const auto neg_zero_vec = _mm512_set1_ps(-0.f);
+    const auto one_vec = _mm512_set1_ps(1.0f);
+    const auto p = _mm512_set1_ps(0.3275911f);
+    const auto p1 = _mm512_set1_ps(0.254829592f);
+    const auto p2 = _mm512_set1_ps(-0.284496736f);
+    const auto p3 = _mm512_set1_ps(1.421413741f);
+    const auto p4 = _mm512_set1_ps(-1.453152027f);
+    const auto p5 = _mm512_set1_ps(1.061405429f);
+    // sign(x)
+    auto sign_mask = _mm512_and_ps(neg_zero_vec, values);
+    auto abs_vec = _mm512_abs_ps(values);
+    // t = 1 / (p * abs(x) + 1)
+    auto tmp0 = _mm512_fmadd_ps(p, abs_vec, one_vec);
+    auto t = _mm512_div_ps(one_vec, tmp0);
+    // r = p5 * t ^ 4 + p4 * t ^ 3 + p3 * t ^ 2 + p2 * t + p1
+    auto tmp1 = _mm512_fmadd_ps(p5, t, p4);
+    auto tmp2 = _mm512_fmadd_ps(tmp1, t, p3);
+    auto tmp3 = _mm512_fmadd_ps(tmp2, t, p2);
+    auto r = _mm512_fmadd_ps(tmp3, t, p1);
+    // - exp(- x * x)
+    auto pow_2 = _mm512_mul_ps(values, values);
+    auto neg_pow_2 = _mm512_xor_ps(neg_zero_vec, pow_2);
+    // auto tmp4 = exp(neg_pow_2);
+    auto tmp4 = Vectorized<float>(Sleef_expf16_u10(neg_pow_2));
+    auto tmp5 = _mm512_xor_ps(neg_zero_vec, tmp4);
+    // erf(x) = sign(x) * (1 - r * t * exp(- x * x))
+    auto tmp6 = _mm512_mul_ps(tmp5, t);
+    auto tmp7 = _mm512_fmadd_ps(tmp6, r, one_vec);
+    return _mm512_xor_ps(sign_mask, tmp7);
+  }
+  Vectorized<float> erfc() const {
+    return Vectorized<float>(Sleef_erfcf16_u15(values));
+  }
+  Vectorized<float> erfinv() const {
+    return map(calc_erfinv);
+  }
+  Vectorized<float> exp() const {
+    return Vectorized<float>(Sleef_expf16_u10(values));
+  }
+  Vectorized<float> exp2() const {
+    return Vectorized<float>(Sleef_exp2f16_u10(values));
+  }
+  Vectorized<float> expm1() const {
+    return Vectorized<float>(Sleef_expm1f16_u10(values));
+  }
+  Vectorized<float> fmod(const Vectorized<float>& q) const {
+    return Vectorized<float>(Sleef_fmodf16(values, q));
+  }
+  Vectorized<float> log() const {
+    return Vectorized<float>(Sleef_logf16_u10(values));
+  }
+  Vectorized<float> log2() const {
+    return Vectorized<float>(Sleef_log2f16_u10(values));
+  }
+  Vectorized<float> log10() const {
+    return Vectorized<float>(Sleef_log10f16_u10(values));
+  }
+  Vectorized<float> log1p() const {
+    return Vectorized<float>(Sleef_log1pf16_u10(values));
+  }
+  Vectorized<float> frac() const;
+  Vectorized<float> sin() const {
+    return Vectorized<float>(Sleef_sinf16_u35(values));
+  }
+  Vectorized<float> sinh() const {
+    return Vectorized<float>(Sleef_sinhf16_u10(values));
+  }
+  Vectorized<float> cos() const {
+    return Vectorized<float>(Sleef_cosf16_u35(values));
+  }
+  Vectorized<float> cosh() const {
+    return Vectorized<float>(Sleef_coshf16_u10(values));
+  }
+  Vectorized<float> ceil() const {
+    return _mm512_ceil_ps(values);
+  }
+  Vectorized<float> floor() const {
+    return _mm512_floor_ps(values);
+  }
+  Vectorized<float> hypot(const Vectorized<float> &b) const {
+    return Vectorized<float>(Sleef_hypotf16_u05(values, b));
+  }
+  Vectorized<float> i0() const {
+    return map(calc_i0);
+  }
+  Vectorized<float> i0e() const {
+    return map(calc_i0e);
+  }
+  Vectorized<float> digamma() const {
+    return map(calc_digamma);
+  }
+  Vectorized<float> igamma(const Vectorized<float> &x) const {
+    __at_align__ float tmp[size()];
+    __at_align__ float tmp_x[size()];
+    store(tmp);
+    x.store(tmp_x);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = calc_igamma(tmp[i], tmp_x[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<float> igammac(const Vectorized<float> &x) const {
+    __at_align__ float tmp[size()];
+    __at_align__ float tmp_x[size()];
+    store(tmp);
+    x.store(tmp_x);
+    for (const auto i : c10::irange(size())) {
+      tmp[i] = calc_igammac(tmp[i], tmp_x[i]);
+    }
+    return loadu(tmp);
+  }
+  Vectorized<float> neg() const {
+    return _mm512_xor_ps(_mm512_set1_ps(-0.f), values);
+  }
+  Vectorized<float> nextafter(const Vectorized<float> &b) const {
+    return Vectorized<float>(Sleef_nextafterf16(values, b));
+  }
+  Vectorized<float> round() const {
+    return _mm512_roundscale_ps(values, (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<float> tan() const {
+    return Vectorized<float>(Sleef_tanf16_u10(values));
+  }
+  Vectorized<float> tanh() const {
+    return Vectorized<float>(Sleef_tanhf16_u10(values));
+  }
+  Vectorized<float> trunc() const {
+    return _mm512_roundscale_ps(values, (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
+  }
+  Vectorized<float> lgamma() const {
+    return Vectorized<float>(Sleef_lgammaf16_u10(values));
+  }
+  Vectorized<float> sqrt() const {
+    return _mm512_sqrt_ps(values);
+  }
+  Vectorized<float> reciprocal() const {
+    return _mm512_div_ps(_mm512_set1_ps(1), values);
+  }
+  Vectorized<float> rsqrt() const {
+    return _mm512_div_ps(_mm512_set1_ps(1), _mm512_sqrt_ps(values));
+  }
+  Vectorized<float> pow(const Vectorized<float> &b) const {
+    return Vectorized<float>(Sleef_powf16_u10(values, b));
+  }
+  // Comparison using the _CMP_**_OQ predicate.
+  //   `O`: get false if an operand is NaN
+  //   `Q`: do not raise if an operand is NaN
+  Vectorized<float> operator==(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_EQ_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> operator!=(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_NEQ_UQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> operator<(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_LT_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> operator<=(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_LE_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> operator>(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_GT_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> operator>=(const Vectorized<float>& other) const {
+    auto mask = _mm512_cmp_ps_mask(values, other.values, _CMP_GE_OQ);
+    return _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, mask,
+                                                      0xFFFFFFFF));
+  }
+
+  Vectorized<float> eq(const Vectorized<float>& other) const;
+  Vectorized<float> ne(const Vectorized<float>& other) const;
+  Vectorized<float> gt(const Vectorized<float>& other) const;
+  Vectorized<float> ge(const Vectorized<float>& other) const;
+  Vectorized<float> lt(const Vectorized<float>& other) const;
+  Vectorized<float> le(const Vectorized<float>& other) const;
+};
+
+template <>
+Vectorized<float> inline operator+(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_add_ps(a, b);
+}
+
+template <>
+Vectorized<float> inline operator-(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_sub_ps(a, b);
+}
+
+template <>
+Vectorized<float> inline operator*(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_mul_ps(a, b);
+}
+
+template <>
+Vectorized<float> inline operator/(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_div_ps(a, b);
+}
+
+// frac. Implement this here so we can use subtraction
+inline Vectorized<float> Vectorized<float>::frac() const {
+  return *this - this->trunc();
+}
+
+// Implements the IEEE 754 201X `maximum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<float> inline maximum(const Vectorized<float>& a, const Vectorized<float>& b) {
+  auto zero_vec = _mm512_set1_epi32(0);
+  auto max = _mm512_max_ps(a, b);
+  auto isnan_mask = _mm512_cmp_ps_mask(a, b, _CMP_UNORD_Q);
+  auto isnan = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, isnan_mask,
+                                                          0xFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  return _mm512_or_ps(max, isnan);
+}
+
+// Implements the IEEE 754 201X `minimum` operation, which propagates NaN if
+// either input is a NaN.
+template <>
+Vectorized<float> inline minimum(const Vectorized<float>& a, const Vectorized<float>& b) {
+  auto zero_vec = _mm512_set1_epi32(0);
+  auto min = _mm512_min_ps(a, b);
+  auto isnan_mask = _mm512_cmp_ps_mask(a, b, _CMP_UNORD_Q);
+  auto isnan = _mm512_castsi512_ps(_mm512_mask_set1_epi32(zero_vec, isnan_mask,
+                                                          0xFFFFFFFF));
+  // Exploit the fact that all-ones is a NaN.
+  return _mm512_or_ps(min, isnan);
+}
+
+template <>
+Vectorized<float> inline clamp(const Vectorized<float>& a, const Vectorized<float>& min, const Vectorized<float>& max) {
+  return _mm512_min_ps(max, _mm512_max_ps(min, a));
+}
+
+template <>
+Vectorized<float> inline clamp_max(const Vectorized<float>& a, const Vectorized<float>& max) {
+  return _mm512_min_ps(max, a);
+}
+
+template <>
+Vectorized<float> inline clamp_min(const Vectorized<float>& a, const Vectorized<float>& min) {
+  return _mm512_max_ps(min, a);
+}
+
+template <>
+Vectorized<float> inline operator&(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_and_ps(a, b);
+}
+
+template <>
+Vectorized<float> inline operator|(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_or_ps(a, b);
+}
+
+template <>
+Vectorized<float> inline operator^(const Vectorized<float>& a, const Vectorized<float>& b) {
+  return _mm512_xor_ps(a, b);
+}
+
+inline Vectorized<float> Vectorized<float>::eq(const Vectorized<float>& other) const {
+  return (*this == other) & Vectorized<float>(1.0f);
+}
+
+inline Vectorized<float> Vectorized<float>::ne(const Vectorized<float>& other) const {
+  return (*this != other) & Vectorized<float>(1.0f);
+}
+
+inline Vectorized<float> Vectorized<float>::gt(const Vectorized<float>& other) const {
+  return (*this > other) & Vectorized<float>(1.0f);
+}
+
+inline Vectorized<float> Vectorized<float>::ge(const Vectorized<float>& other) const {
+  return (*this >= other) & Vectorized<float>(1.0f);
+}
+
+inline Vectorized<float> Vectorized<float>::lt(const Vectorized<float>& other) const {
+  return (*this < other) & Vectorized<float>(1.0f);
+}
+
+inline Vectorized<float> Vectorized<float>::le(const Vectorized<float>& other) const {
+  return (*this <= other) & Vectorized<float>(1.0f);
+}
+
+template <>
+inline void convert(const float* src, float* dst, int64_t n) {
+  int64_t i;
+#pragma unroll
+  for (i = 0; i <= (n - Vectorized<float>::size()); i += Vectorized<float>::size()) {
+    _mm512_storeu_ps(dst + i, _mm512_loadu_ps(src + i));
+  }
+#pragma unroll
+  for (; i < n; i++) {
+    dst[i] = src[i];
+  }
+}
+
+template <>
+Vectorized<float> inline fmadd(const Vectorized<float>& a, const Vectorized<float>& b, const Vectorized<float>& c) {
+  return _mm512_fmadd_ps(a, b, c);
+}
+
+template <>
+Vectorized<float> inline fmsub(const Vectorized<float>& a, const Vectorized<float>& b, const Vectorized<float>& c) {
+  return _mm512_fmsub_ps(a, b, c);
+}
+
+// TODO(jgong5): rewrite with ATEN vectorized (need to add unpack and shuffle)
+// Used by Inductor CPP codegen
+// Code referred to FBGEMM:
+// https://github.com/pytorch/FBGEMM/blob/39a423e4ad1a04b77fea81c7d09c3e6f8984fae9/src/UtilsAvx512.cc#LL19C6-L19C6
+// 16 * 6 = 96 instructions
+template<>
+inline void transpose_mxn<float, 16, 16>(
+    const float* src,
+    int64_t ld_src,
+    float* dst,
+    int64_t ld_dst) {
+  // load from src to registers
+  // a: a0  a1  a2  a3  a4  a5  a6  a7  a8  a9  a10 a11 a12 a13 a14 a15
+  // b: b0  b1  b2  b3  b4  b5  b6  b7  b8  b9  b10 b11 b12 b13 b14 b15
+  // c: c0  c1  c2  c3  c4  c5  c6  c7  c8  c9  c10 c11 c12 c13 c14 c15
+  // d: d0  d1  d2  d3  d4  d5  d6  d7  d8  d9  d10 d11 d12 d13 d14 d15
+  // e: e0  e1  e2  e3  e4  e5  e6  e7  e8  e9  e10 e11 e12 e13 e14 e15
+  // f: f0  f1  f2  f3  f4  f5  f6  f7  f8  f9  f10 f11 f12 f13 f14 f15
+  // g: g0  g1  g2  g3  g4  g5  g6  g7  g8  g9  g10 g11 g12 g13 g14 g15
+  // h: h0  h1  h2  h3  h4  h5  h6  h7  h8  h9  h10 h11 h12 h13 h14 h15
+  // i: i0  i1  i2  i3  i4  i5  i6  i7  i8  i9  i10 i11 i12 i13 i14 i15
+  // j: j0  j1  j2  j3  j4  j5  j6  j7  j8  j9  j10 j11 j12 j13 j14 j15
+  // k: k0  k1  k2  k3  k4  k5  k6  k7  k8  k9  k10 k11 k12 k13 k14 k15
+  // l: l0  l1  l2  l3  l4  l5  l6  l7  l8  l9  l10 l11 l12 l13 l14 l15
+  // m: m0  m1  m2  m3  m4  m5  m6  m7  m8  m9  m10 m11 m12 m13 m14 m15
+  // n: n0  n1  n2  n3  n4  n5  n6  n7  n8  n9  n10 n11 n12 n13 n14 n15
+  // o: o0  o1  o2  o3  o4  o5  o6  o7  o8  o9  o10 o11 o12 o13 o14 o15
+  // p: p0  p1  p2  p3  p4  p5  p6  p7  p8  p9  p10 p11 p12 p13 p14 p15
+  __m512 a = _mm512_loadu_ps(&src[0 * ld_src]);
+  __m512 b = _mm512_loadu_ps(&src[1 * ld_src]);
+  __m512 c = _mm512_loadu_ps(&src[2 * ld_src]);
+  __m512 d = _mm512_loadu_ps(&src[3 * ld_src]);
+  __m512 e = _mm512_loadu_ps(&src[4 * ld_src]);
+  __m512 f = _mm512_loadu_ps(&src[5 * ld_src]);
+  __m512 g = _mm512_loadu_ps(&src[6 * ld_src]);
+  __m512 h = _mm512_loadu_ps(&src[7 * ld_src]);
+  __m512 i = _mm512_loadu_ps(&src[8 * ld_src]);
+  __m512 j = _mm512_loadu_ps(&src[9 * ld_src]);
+  __m512 k = _mm512_loadu_ps(&src[10 * ld_src]);
+  __m512 l = _mm512_loadu_ps(&src[11 * ld_src]);
+  __m512 m = _mm512_loadu_ps(&src[12 * ld_src]);
+  __m512 n = _mm512_loadu_ps(&src[13 * ld_src]);
+  __m512 o = _mm512_loadu_ps(&src[14 * ld_src]);
+  __m512 p = _mm512_loadu_ps(&src[15 * ld_src]);
+
+  __m512 ta, tb, tc, td, te, tf, tg, th, ti, tj, tk, tl, tm, tn, to, tq;
+  // unpacking and interleaving 32-bit elements
+  // a0  b0  a1  b1  a4  b4  a5  b5  a8  b8  a9  b9  a12  b12 a13 b13
+  // a2  b2  a3  b3  a6  b6  a7  b7  a10 b10 a11 b11 a14  b14 a15 b15
+  // c0  d0  c1  d1 ...
+  // c2  d2  c3  d3 ...
+  // e0  f0  e1  f1 ...
+  // e2  f2  e3  f3 ...
+  // g0  h0  g1  h1 ...
+  // g2  h2  g3  h3 ...
+  // i0  ...
+  // i2  ...
+  // k0  ...
+  // k2  ...
+  // m0  ...
+  // m2  ...
+  // o0  ...
+  // o1  ...
+  ta = _mm512_unpacklo_ps(a, b);
+  tb = _mm512_unpackhi_ps(a, b);
+  tc = _mm512_unpacklo_ps(c, d);
+  td = _mm512_unpackhi_ps(c, d);
+  te = _mm512_unpacklo_ps(e, f);
+  tf = _mm512_unpackhi_ps(e, f);
+  tg = _mm512_unpacklo_ps(g, h);
+  th = _mm512_unpackhi_ps(g, h);
+  ti = _mm512_unpacklo_ps(i, j);
+  tj = _mm512_unpackhi_ps(i, j);
+  tk = _mm512_unpacklo_ps(k, l);
+  tl = _mm512_unpackhi_ps(k, l);
+  tm = _mm512_unpacklo_ps(m, n);
+  tn = _mm512_unpackhi_ps(m, n);
+  to = _mm512_unpacklo_ps(o, p);
+  tq = _mm512_unpackhi_ps(o, p);
+
+  // unpacking and interleaving 64-bit elements
+  //  a0  b0  c0  d0  a4  b4  c4  d4  a8  b8  c8  d8  a12 b12 c12 d12
+  //  a1  b1  c1  d1 ...
+  //  a2  b2  c2  d2 ...
+  //  a3  b3  c3  d3 ...
+  //  e0  f0  g0  h0  e4  f4  g4  h4  e8  f8  g8  h8  e12 f12 g12 h12
+  //  e1  f1  g1  h1 ...
+  //  e2  f2  g2  h2 ...
+  //  e3  f3  g3  h3 ...
+  //  i0  j0  k0  l0 ...
+  //  i1  j1  k1  l1 ...
+  //  i2  j2  k2  l2 ...
+  //  i3  j3  k3  l3 ...
+  //  m0  n0  o0  p0 ...
+  //  m1  n1  o1  p1 ...
+  //  m2  n2  o2  p2 ...
+  //  m3  n3  o3  p3 ...
+  a = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(ta), _mm512_castps_pd(tc)));
+  b = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(ta), _mm512_castps_pd(tc)));
+  c = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(tb), _mm512_castps_pd(td)));
+  d = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(tb), _mm512_castps_pd(td)));
+  e = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(te), _mm512_castps_pd(tg)));
+  f = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(te), _mm512_castps_pd(tg)));
+  g = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(tf), _mm512_castps_pd(th)));
+  h = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(tf), _mm512_castps_pd(th)));
+  i = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(ti), _mm512_castps_pd(tk)));
+  j = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(ti), _mm512_castps_pd(tk)));
+  k = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(tj), _mm512_castps_pd(tl)));
+  l = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(tj), _mm512_castps_pd(tl)));
+  m = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(tm), _mm512_castps_pd(to)));
+  n = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(tm), _mm512_castps_pd(to)));
+  o = _mm512_castpd_ps(
+      _mm512_unpacklo_pd(_mm512_castps_pd(tn), _mm512_castps_pd(tq)));
+  p = _mm512_castpd_ps(
+      _mm512_unpackhi_pd(_mm512_castps_pd(tn), _mm512_castps_pd(tq)));
+
+  //  shuffle 128-bits (composed of 4 32-bit elements)
+  //  a0  b0  c0  d0  a8  b8  c8  d8  e0  f0  g0  h0  e8  f8  g8  h8
+  //  a1  b1  c1  d1 ...
+  //  a2  b2  c2  d2 ...
+  //  a3  b3  c3  d3 ...
+  //  a4  b4  c4  d4 ...
+  //  a5  b5  c5  d5 ...
+  //  a6  b6  c6  d6 ...
+  //  a7  b7  c7  d7 ...
+  //  i0  j0  k0  l0  i8  j8  k8  l8  m0  n0  o0  p0  m8  n8  o8  p8
+  //  i1  j1  k1  l1 ...
+  //  i2  j2  k2  l2 ...
+  //  i3  j3  k3  l3 ...
+  //  i4  j4  k4  l4 ...
+  //  i5  j5  k5  l5 ...
+  //  i6  j6  k6  l6 ...
+  //  i7  j7  k7  l7 ...
+  ta = _mm512_shuffle_f32x4(a, e, 0x88);
+  tb = _mm512_shuffle_f32x4(b, f, 0x88);
+  tc = _mm512_shuffle_f32x4(c, g, 0x88);
+  td = _mm512_shuffle_f32x4(d, h, 0x88);
+  te = _mm512_shuffle_f32x4(a, e, 0xdd);
+  tf = _mm512_shuffle_f32x4(b, f, 0xdd);
+  tg = _mm512_shuffle_f32x4(c, g, 0xdd);
+  th = _mm512_shuffle_f32x4(d, h, 0xdd);
+  ti = _mm512_shuffle_f32x4(i, m, 0x88);
+  tj = _mm512_shuffle_f32x4(j, n, 0x88);
+  tk = _mm512_shuffle_f32x4(k, o, 0x88);
+  tl = _mm512_shuffle_f32x4(l, p, 0x88);
+  tm = _mm512_shuffle_f32x4(i, m, 0xdd);
+  tn = _mm512_shuffle_f32x4(j, n, 0xdd);
+  to = _mm512_shuffle_f32x4(k, o, 0xdd);
+  tq = _mm512_shuffle_f32x4(l, p, 0xdd);
+
+  //  shuffle 128-bits (composed of 4 32-bit elements)
+  //  a0  b0  c0  d0  ...  o0
+  //  a1  b1  c1  d1  ...  o1
+  //  a2  b2  c2  d2  ...  o2
+  //  a3  b3  c3  d3  ...  o3
+  //  a4  ...
+  //  a5  ...
+  //  a6  ...
+  //  a7  ...
+  //  a8  ...
+  //  a9  ...
+  //  a10 ...
+  //  a11 ...
+  //  a12 ...
+  //  a13 ...
+  //  a14 ...
+  //  a15 b15 c15 d15 ...  o15
+  a = _mm512_shuffle_f32x4(ta, ti, 0x88);
+  b = _mm512_shuffle_f32x4(tb, tj, 0x88);
+  c = _mm512_shuffle_f32x4(tc, tk, 0x88);
+  d = _mm512_shuffle_f32x4(td, tl, 0x88);
+  e = _mm512_shuffle_f32x4(te, tm, 0x88);
+  f = _mm512_shuffle_f32x4(tf, tn, 0x88);
+  g = _mm512_shuffle_f32x4(tg, to, 0x88);
+  h = _mm512_shuffle_f32x4(th, tq, 0x88);
+  i = _mm512_shuffle_f32x4(ta, ti, 0xdd);
+  j = _mm512_shuffle_f32x4(tb, tj, 0xdd);
+  k = _mm512_shuffle_f32x4(tc, tk, 0xdd);
+  l = _mm512_shuffle_f32x4(td, tl, 0xdd);
+  m = _mm512_shuffle_f32x4(te, tm, 0xdd);
+  n = _mm512_shuffle_f32x4(tf, tn, 0xdd);
+  o = _mm512_shuffle_f32x4(tg, to, 0xdd);
+  p = _mm512_shuffle_f32x4(th, tq, 0xdd);
+
+  // store from registers to dst
+  _mm512_storeu_ps(&dst[0 * ld_dst], a);
+  _mm512_storeu_ps(&dst[1 * ld_dst], b);
+  _mm512_storeu_ps(&dst[2 * ld_dst], c);
+  _mm512_storeu_ps(&dst[3 * ld_dst], d);
+  _mm512_storeu_ps(&dst[4 * ld_dst], e);
+  _mm512_storeu_ps(&dst[5 * ld_dst], f);
+  _mm512_storeu_ps(&dst[6 * ld_dst], g);
+  _mm512_storeu_ps(&dst[7 * ld_dst], h);
+  _mm512_storeu_ps(&dst[8 * ld_dst], i);
+  _mm512_storeu_ps(&dst[9 * ld_dst], j);
+  _mm512_storeu_ps(&dst[10 * ld_dst], k);
+  _mm512_storeu_ps(&dst[11 * ld_dst], l);
+  _mm512_storeu_ps(&dst[12 * ld_dst], m);
+  _mm512_storeu_ps(&dst[13 * ld_dst], n);
+  _mm512_storeu_ps(&dst[14 * ld_dst], o);
+  _mm512_storeu_ps(&dst[15 * ld_dst], p);
+}
+
+#endif
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_int.h

@@ -0,0 +1,1448 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <c10/macros/Macros.h>
+#include <c10/util/irange.h>
+
+namespace at {
+namespace vec {
+inline namespace CPU_CAPABILITY {
+
+#ifdef CPU_CAPABILITY_AVX512
+
+struct Vectorizedi {
+protected:
+  __m512i values;
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+  static inline __m512i invert(const __m512i& v) {
+    const auto ones = _mm512_set1_epi64(-1);
+    return _mm512_xor_si512(ones, v);
+  }
+public:
+  Vectorizedi() {}
+  Vectorizedi(__m512i v) : values(v) {}
+  operator __m512i() const {
+    return values;
+  }
+};
+
+#else
+
+struct Vectorizedi {};  // dummy definition to make Vectorizedi always defined
+
+#endif // CPU_CAPABILITY_AVX512
+
+#ifdef CPU_CAPABILITY_AVX512
+
+template <>
+class Vectorized<int64_t> : public Vectorizedi {
+private:
+  static const Vectorized<int64_t> ones;
+public:
+  using value_type = int64_t;
+  using size_type = int;
+  static constexpr size_type size() {
+    return 8;
+  }
+  using Vectorizedi::Vectorizedi;
+  Vectorized() {}
+  Vectorized(int64_t v) { values = _mm512_set1_epi64(v); }
+  Vectorized(int64_t val1, int64_t val2, int64_t val3, int64_t val4,
+         int64_t val5, int64_t val6, int64_t val7, int64_t val8) {
+    values = _mm512_setr_epi64(val1, val2, val3, val4,
+                                val5, val6, val7, val8);
+  }
+  template <int64_t mask>
+  static Vectorized<int64_t> blend(Vectorized<int64_t> a, Vectorized<int64_t> b) {
+    return _mm512_mask_blend_epi64(mask, a.values, b.values);
+  }
+  static Vectorized<int64_t> blendv(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b,
+                                const Vectorized<int64_t>& mask) {
+    auto msb_one = _mm512_set1_epi64(0xFFFFFFFFFFFFFFFF);
+    auto mask_ = _mm512_cmp_epi64_mask(mask, msb_one, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi64(mask_, a.values, b.values);
+  }
+  template <typename step_t>
+  static Vectorized<int64_t> arange(int64_t base = 0, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<int64_t>(base,            base + step,     base + 2 * step, base + 3 * step,
+                           base + 4 * step, base + 5 * step, base + 6 * step, base + 7 * step);
+  }
+  static Vectorized<int64_t>
+  set(Vectorized<int64_t> a, Vectorized<int64_t> b, int64_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<int64_t> loadu(const void* ptr) {
+    return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(ptr));
+  }
+  static Vectorized<int64_t> loadu(const void* ptr, int64_t count) {
+    __at_align__ int64_t tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, ptr, count * sizeof(int64_t));
+    return loadu(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      // ptr need not to be aligned here. See
+      // https://software.intel.com/content/www/us/en/develop/documentation/cpp-compiler-developer-guide-and-reference/top/compiler-reference/intrinsics/intrinsics-for-intel-advanced-vector-extensions/intrinsics-for-load-and-store-operations-1/mm512-storeu-si512.html
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(ptr), values);
+    } else if (count > 0) {
+      __at_align__ int64_t tmp_values[size()];
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(int64_t));
+    }
+  }
+  const int64_t& operator[](int idx) const  = delete;
+  int64_t& operator[](int idx)  = delete;
+  Vectorized<int64_t> abs() const {
+    auto is_larger_mask = _mm512_cmpgt_epi64_mask(zero_vector, values);
+    auto is_larger = _mm512_mask_set1_epi64(zero_vector, is_larger_mask, 0xFFFFFFFFFFFFFFFF);
+    auto inverse = _mm512_xor_si512(values, is_larger);
+    return _mm512_sub_epi64(inverse, is_larger);
+  }
+  Vectorized<int64_t> real() const {
+    return *this;
+  }
+  Vectorized<int64_t> imag() const {
+    return _mm512_set1_epi64(0);
+  }
+  Vectorized<int64_t> conj() const {
+    return *this;
+  }
+  Vectorized<int64_t> neg() const;
+  Vectorized<int64_t> operator==(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmpeq_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+  Vectorized<int64_t> operator!=(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmpneq_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+  Vectorized<int64_t> operator<(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmplt_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+  Vectorized<int64_t> operator<=(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmple_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+  Vectorized<int64_t> operator>(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmpgt_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+  Vectorized<int64_t> operator>=(const Vectorized<int64_t>& other) const {
+    auto mask = _mm512_cmpge_epi64_mask(values, other.values);
+    return _mm512_mask_set1_epi64(zero_vector, mask, 0xFFFFFFFFFFFFFFFF);
+  }
+
+  Vectorized<int64_t> eq(const Vectorized<int64_t>& other) const;
+  Vectorized<int64_t> ne(const Vectorized<int64_t>& other) const;
+  Vectorized<int64_t> gt(const Vectorized<int64_t>& other) const;
+  Vectorized<int64_t> ge(const Vectorized<int64_t>& other) const;
+  Vectorized<int64_t> lt(const Vectorized<int64_t>& other) const;
+  Vectorized<int64_t> le(const Vectorized<int64_t>& other) const;
+};
+
+template <>
+class Vectorized<int32_t> : public Vectorizedi {
+private:
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+  static const Vectorized<int32_t> ones;
+public:
+  using value_type = int32_t;
+  static constexpr int size() {
+    return 16;
+  }
+  using Vectorizedi::Vectorizedi;
+  Vectorized() {}
+  Vectorized(int32_t v) { values = _mm512_set1_epi32(v); }
+  Vectorized(int32_t val1, int32_t val2, int32_t val3, int32_t val4,
+            int32_t val5, int32_t val6, int32_t val7, int32_t val8,
+            int32_t val9, int32_t val10, int32_t val11, int32_t val12,
+            int32_t val13, int32_t val14, int32_t val15, int32_t val16) {
+    values = _mm512_setr_epi32(val1, val2, val3, val4, val5, val6, val7, val8,
+                               val9, val10, val11, val12, val13, val14, val15, val16);
+  }
+  template <int64_t mask>
+  static Vectorized<int32_t> blend(Vectorized<int32_t> a, Vectorized<int32_t> b) {
+    return _mm512_mask_blend_epi32(mask, a.values, b.values);
+  }
+  static Vectorized<int32_t> blendv(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b,
+                                const Vectorized<int32_t>& mask) {
+    auto msb_one = _mm512_set1_epi32(0xFFFFFFFF);
+    auto mask_ = _mm512_cmp_epi32_mask(mask, msb_one, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi32(mask_, a.values, b.values);
+  }
+  template <typename step_t>
+  static Vectorized<int32_t> arange(int32_t base = 0, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<int32_t>(
+      base,             base +      step, base +  2 * step, base +  3 * step,
+      base +  4 * step, base +  5 * step, base +  6 * step, base +  7 * step,
+      base +  8 * step, base +  9 * step, base + 10 * step, base + 11 * step,
+      base + 12 * step, base + 13 * step, base + 14 * step, base + 15 * step);
+  }
+  static Vectorized<int32_t>
+  set(Vectorized<int32_t> a, Vectorized<int32_t> b, int32_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<1>(a, b);
+      case 2:
+        return blend<3>(a, b);
+      case 3:
+        return blend<7>(a, b);
+      case 4:
+        return blend<15>(a, b);
+      case 5:
+        return blend<31>(a, b);
+      case 6:
+        return blend<63>(a, b);
+      case 7:
+        return blend<127>(a, b);
+      case 8:
+        return blend<255>(a, b);
+      case 9:
+        return blend<511>(a, b);
+      case 10:
+        return blend<1023>(a, b);
+      case 11:
+        return blend<2047>(a, b);
+      case 12:
+        return blend<4095>(a, b);
+      case 13:
+        return blend<8191>(a, b);
+      case 14:
+        return blend<16383>(a, b);
+      case 15:
+        return blend<32767>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<int32_t> loadu(const void* ptr) {
+    return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(ptr));
+  }
+  static Vectorized<int32_t> loadu(const void* ptr, int32_t count) {
+    __at_align__ int32_t tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, ptr, count * sizeof(int32_t));
+    return loadu(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      // ptr need not to be aligned here. See
+      // https://software.intel.com/content/www/us/en/develop/documentation/cpp-compiler-developer-guide-and-reference/top/compiler-reference/intrinsics/intrinsics-for-intel-advanced-vector-extensions/intrinsics-for-load-and-store-operations-1/mm512-storeu-si512.html
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(ptr), values);
+    } else if (count > 0) {
+      __at_align__ int32_t tmp_values[size()];
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(int32_t));
+    }
+  }
+  const int32_t& operator[](int idx) const  = delete;
+  int32_t& operator[](int idx)  = delete;
+  Vectorized<int32_t> abs() const {
+    return _mm512_abs_epi32(values);
+  }
+  Vectorized<int32_t> real() const {
+    return *this;
+  }
+  Vectorized<int32_t> imag() const {
+    return _mm512_set1_epi32(0);
+  }
+  Vectorized<int32_t> conj() const {
+    return *this;
+  }
+  Vectorized<int32_t> neg() const;
+  Vectorized<int32_t> operator==(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmpeq_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> operator!=(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmpneq_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> operator<(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmplt_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> operator<=(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmple_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> operator>(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmpgt_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> operator>=(const Vectorized<int32_t>& other) const {
+    auto mask = _mm512_cmpge_epi32_mask(values, other.values);
+    return _mm512_mask_set1_epi32(zero_vector, mask, 0xFFFFFFFF);
+  }
+  Vectorized<int32_t> eq(const Vectorized<int32_t>& other) const;
+  Vectorized<int32_t> ne(const Vectorized<int32_t>& other) const;
+  Vectorized<int32_t> gt(const Vectorized<int32_t>& other) const;
+  Vectorized<int32_t> ge(const Vectorized<int32_t>& other) const;
+  Vectorized<int32_t> lt(const Vectorized<int32_t>& other) const;
+  Vectorized<int32_t> le(const Vectorized<int32_t>& other) const;
+};
+
+template <>
+inline void convert(const int32_t *src, float *dst, int64_t n) {
+  int64_t i;
+  // int32_t and float have same size
+#ifndef _MSC_VER
+# pragma unroll
+#endif
+  for (i = 0; i <= (n - Vectorized<int32_t>::size()); i += Vectorized<int32_t>::size()) {
+    auto input_vec = _mm512_loadu_si512(reinterpret_cast<const __m512i*>(src + i));
+    auto output_vec = _mm512_cvtepi32_ps(input_vec);
+    _mm512_storeu_ps(reinterpret_cast<float*>(dst + i), output_vec);
+  }
+#ifndef _MSC_VER
+# pragma unroll
+#endif
+  for (; i < n; i++) {
+    dst[i] = static_cast<float>(src[i]);
+  }
+}
+
+template <>
+inline void convert(const int32_t *src, double *dst, int64_t n) {
+  int64_t i;
+  // int32_t has half the size of double
+#ifndef _MSC_VER
+# pragma unroll
+#endif
+  for (i = 0; i <= (n - Vectorized<double>::size()); i += Vectorized<double>::size()) {
+    auto input_256_vec = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(src + i));
+    auto output_vec = _mm512_cvtepi32_pd(input_256_vec);
+    _mm512_storeu_pd(reinterpret_cast<double*>(dst + i), output_vec);
+  }
+#ifndef _MSC_VER
+# pragma unroll
+#endif
+  for (; i < n; i++) {
+    dst[i] = static_cast<double>(src[i]);
+  }
+}
+
+template <>
+class Vectorized<int16_t> : public Vectorizedi {
+private:
+  static const Vectorized<int16_t> ones;
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+public:
+  using value_type = int16_t;
+  static constexpr int size() {
+    return 32;
+  }
+  using Vectorizedi::Vectorizedi;
+  Vectorized() {}
+  Vectorized(int16_t v) { values = _mm512_set1_epi16(v); }
+  Vectorized(int16_t val1, int16_t val2, int16_t val3, int16_t val4,
+         int16_t val5, int16_t val6, int16_t val7, int16_t val8,
+         int16_t val9, int16_t val10, int16_t val11, int16_t val12,
+         int16_t val13, int16_t val14, int16_t val15, int16_t val16,
+         int16_t val17, int16_t val18, int16_t val19, int16_t val20,
+         int16_t val21, int16_t val22, int16_t val23, int16_t val24,
+         int16_t val25, int16_t val26, int16_t val27, int16_t val28,
+         int16_t val29, int16_t val30, int16_t val31, int16_t val32) {
+    values = _mm512_set_epi16(val32, val31, val30, val29, val28, val27, val26, val25,
+                              val24, val23, val22, val21, val20, val19, val18, val17,
+                              val16, val15, val14, val13, val12, val11, val10, val9,
+                              val8, val7, val6, val5, val4, val3, val2, val1);
+  }
+  template <int64_t mask>
+  static Vectorized<int16_t> blend(Vectorized<int16_t> a, Vectorized<int16_t> b) {
+    return _mm512_mask_blend_epi16(mask, a.values, b.values);
+  }
+  static Vectorized<int16_t> blendv(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b,
+                                const Vectorized<int16_t>& mask) {
+    auto msb_one = _mm512_set1_epi16(0xFFFF);
+    auto mask_ = _mm512_cmp_epi16_mask(mask, msb_one, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi16(mask_, a.values, b.values);
+  }
+  template <typename step_t>
+  static Vectorized<int16_t> arange(int16_t base = 0, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<int16_t>(
+      base,             base +      step, base +  2 * step, base +  3 * step,
+      base +  4 * step, base +  5 * step, base +  6 * step, base +  7 * step,
+      base +  8 * step, base +  9 * step, base + 10 * step, base + 11 * step,
+      base + 12 * step, base + 13 * step, base + 14 * step, base + 15 * step,
+      base + 16 * step, base + 17 * step, base + 18 * step, base + 19 * step,
+      base + 20 * step, base + 21 * step, base + 22 * step, base + 23 * step,
+      base + 24 * step, base + 25 * step, base + 26 * step, base + 27 * step,
+      base + 28 * step, base + 29 * step, base + 30 * step, base + 31 * step
+    );
+  }
+  static Vectorized<int16_t>
+  set(Vectorized<int16_t> a, Vectorized<int16_t> b, int16_t count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<0x1>(a, b);
+      case 2:
+        return blend<0x3>(a, b);
+      case 3:
+        return blend<0x7>(a, b);
+      case 4:
+        return blend<0xF>(a, b);
+      case 5:
+        return blend<0x1F>(a, b);
+      case 6:
+        return blend<0x3F>(a, b);
+      case 7:
+        return blend<0x7F>(a, b);
+      case 8:
+        return blend<0xFF>(a, b);
+      case 9:
+        return blend<0x1FF>(a, b);
+      case 10:
+        return blend<0x3FF>(a, b);
+      case 11:
+        return blend<0x7FF>(a, b);
+      case 12:
+        return blend<0xFFF>(a, b);
+      case 13:
+        return blend<0x1FFF>(a, b);
+      case 14:
+        return blend<0x3FFF>(a, b);
+      case 15:
+        return blend<0x7FFF>(a, b);
+      case 16:
+        return blend<0xFFFF>(a, b);
+      case 17:
+        return blend<0x1FFFF>(a, b);
+      case 18:
+        return blend<0x3FFFF>(a, b);
+      case 19:
+        return blend<0x7FFFF>(a, b);
+      case 20:
+        return blend<0xFFFFF>(a, b);
+      case 21:
+        return blend<0x1FFFFF>(a, b);
+      case 22:
+        return blend<0x3FFFFF>(a, b);
+      case 23:
+        return blend<0x7FFFFF>(a, b);
+      case 24:
+        return blend<0xFFFFFF>(a, b);
+      case 25:
+        return blend<0x1FFFFFF>(a, b);
+      case 26:
+        return blend<0x3FFFFFF>(a, b);
+      case 27:
+        return blend<0x7FFFFFF>(a, b);
+      case 28:
+        return blend<0xFFFFFFF>(a, b);
+      case 29:
+        return blend<0x1FFFFFFF>(a, b);
+      case 30:
+        return blend<0x3FFFFFFF>(a, b);
+      case 31:
+        return blend<0x7FFFFFFF>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<int16_t> loadu(const void* ptr) {
+    return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(ptr));
+  }
+  static Vectorized<int16_t> loadu(const void* ptr, int16_t count) {
+    __at_align__ int16_t tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, ptr, count * sizeof(int16_t));
+    return loadu(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      // ptr need not to be aligned here. See
+      // https://software.intel.com/content/www/us/en/develop/documentation/cpp-compiler-developer-guide-and-reference/top/compiler-reference/intrinsics/intrinsics-for-intel-advanced-vector-extensions/intrinsics-for-load-and-store-operations-1/mm512-storeu-si512.html
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(ptr), values);
+    } else if (count > 0) {
+      __at_align__ int16_t tmp_values[size()];
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(tmp_values), values);
+      std::memcpy(ptr, tmp_values, count * sizeof(int16_t));
+    }
+  }
+  const int16_t& operator[](int idx) const  = delete;
+  int16_t& operator[](int idx)  = delete;
+  Vectorized<int16_t> abs() const {
+    return _mm512_abs_epi16(values);
+  }
+  Vectorized<int16_t> real() const {
+    return *this;
+  }
+  Vectorized<int16_t> imag() const {
+    return _mm512_set1_epi16(0);
+  }
+  Vectorized<int16_t> conj() const {
+    return *this;
+  }
+  Vectorized<int16_t> neg() const;
+  Vectorized<int16_t> operator==(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmpeq_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+  Vectorized<int16_t> operator!=(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmpneq_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+  Vectorized<int16_t> operator<(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmplt_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+  Vectorized<int16_t> operator<=(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmple_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+  Vectorized<int16_t> operator>(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmpgt_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+  Vectorized<int16_t> operator>=(const Vectorized<int16_t>& other) const {
+    auto mask = _mm512_cmpge_epi16_mask(values, other.values);
+    return _mm512_mask_set1_epi16(zero_vector, mask, 0xFFFF);
+  }
+
+  Vectorized<int16_t> eq(const Vectorized<int16_t>& other) const;
+  Vectorized<int16_t> ne(const Vectorized<int16_t>& other) const;
+  Vectorized<int16_t> gt(const Vectorized<int16_t>& other) const;
+  Vectorized<int16_t> ge(const Vectorized<int16_t>& other) const;
+  Vectorized<int16_t> lt(const Vectorized<int16_t>& other) const;
+  Vectorized<int16_t> le(const Vectorized<int16_t>& other) const;
+};
+
+template <typename T>
+class Vectorized8 : public Vectorizedi {
+  static_assert(
+    std::is_same<T, int8_t>::value || std::is_same<T, uint8_t>::value,
+    "Only int8_t/uint8_t are supported");
+protected:
+  static constexpr __m512i zero_vector {0, 0, 0, 0, 0, 0, 0, 0};
+  static const Vectorized<T> ones;
+public:
+  using value_type = T;
+  static constexpr int size() {
+    return 64;
+  }
+  using Vectorizedi::Vectorizedi;
+  Vectorized8() {}
+  Vectorized8(T v) { values = _mm512_set1_epi8(v); }
+  Vectorized8(T val1, T val2, T val3, T val4,
+         T val5, T val6, T val7, T val8,
+         T val9, T val10, T val11, T val12,
+         T val13, T val14, T val15, T val16,
+         T val17, T val18, T val19, T val20,
+         T val21, T val22, T val23, T val24,
+         T val25, T val26, T val27, T val28,
+         T val29, T val30, T val31, T val32,
+         T val33, T val34, T val35, T val36,
+         T val37, T val38, T val39, T val40,
+         T val41, T val42, T val43, T val44,
+         T val45, T val46, T val47, T val48,
+         T val49, T val50, T val51, T val52,
+         T val53, T val54, T val55, T val56,
+         T val57, T val58, T val59, T val60,
+         T val61, T val62, T val63, T val64){
+    values = _mm512_set_epi8(val64, val63, val62, val61, val60, val59, val58, val57,
+                              val56, val55, val54, val53,val52, val51, val50, val49,
+                              val48, val47, val46, val45, val44, val43, val42, val41,
+                              val40, val39, val38, val37, val36, val35, val34, val33,
+                              val32, val31, val30, val29, val28, val27, val26, val25,
+                              val24, val23, val22, val21, val20, val19, val18, val17,
+                              val16, val15, val14, val13, val12, val11, val10, val9,
+                              val8, val7, val6, val5, val4, val3, val2, val1);
+  }
+  template <int64_t mask>
+  static Vectorized<T> blend(Vectorized<T> a, Vectorized<T> b) {
+    return _mm512_mask_blend_epi8(mask, a.values, b.values);
+  }
+  template <typename step_t>
+  static Vectorized<T> arange(T base = 0, step_t step = static_cast<step_t>(1)) {
+    return Vectorized<T>(
+      base,             base +      step, base +  2 * step, base +  3 * step,
+      base +  4 * step, base +  5 * step, base +  6 * step, base +  7 * step,
+      base +  8 * step, base +  9 * step, base + 10 * step, base + 11 * step,
+      base + 12 * step, base + 13 * step, base + 14 * step, base + 15 * step,
+      base + 16 * step, base + 17 * step, base + 18 * step, base + 19 * step,
+      base + 20 * step, base + 21 * step, base + 22 * step, base + 23 * step,
+      base + 24 * step, base + 25 * step, base + 26 * step, base + 27 * step,
+      base + 28 * step, base + 29 * step, base + 30 * step, base + 31 * step,
+      base + 32 * step, base + 33 * step, base + 34 * step, base + 35 * step,
+      base + 36 * step, base + 37 * step, base + 38 * step, base + 39 * step,
+      base + 40 * step, base + 41 * step, base + 42 * step, base + 43 * step,
+      base + 44 * step, base + 45 * step, base + 46 * step, base + 47 * step,
+      base + 48 * step, base + 49 * step, base + 50 * step, base + 51 * step,
+      base + 52 * step, base + 53 * step, base + 54 * step, base + 55 * step,
+      base + 56 * step, base + 57 * step, base + 58 * step, base + 59 * step,
+      base + 60 * step, base + 61 * step, base + 62 * step, base + 63 * step);
+  }
+  static Vectorized<T>
+  set(Vectorized<T> a, Vectorized<T> b, T count = size()) {
+    switch (count) {
+      case 0:
+        return a;
+      case 1:
+        return blend<0x1>(a, b);
+      case 2:
+        return blend<0x3>(a, b);
+      case 3:
+        return blend<0x7>(a, b);
+      case 4:
+        return blend<0xF>(a, b);
+      case 5:
+        return blend<0x1F>(a, b);
+      case 6:
+        return blend<0x3F>(a, b);
+      case 7:
+        return blend<0x7F>(a, b);
+      case 8:
+        return blend<0xFF>(a, b);
+      case 9:
+        return blend<0x1FF>(a, b);
+      case 10:
+        return blend<0x3FF>(a, b);
+      case 11:
+        return blend<0x7FF>(a, b);
+      case 12:
+        return blend<0xFFF>(a, b);
+      case 13:
+        return blend<0x1FFF>(a, b);
+      case 14:
+        return blend<0x3FFF>(a, b);
+      case 15:
+        return blend<0x7FFF>(a, b);
+      case 16:
+        return blend<0xFFFF>(a, b);
+      case 17:
+        return blend<0x1FFFF>(a, b);
+      case 18:
+        return blend<0x3FFFF>(a, b);
+      case 19:
+        return blend<0x7FFFF>(a, b);
+      case 20:
+        return blend<0xFFFFF>(a, b);
+      case 21:
+        return blend<0x1FFFFF>(a, b);
+      case 22:
+        return blend<0x3FFFFF>(a, b);
+      case 23:
+        return blend<0x7FFFFF>(a, b);
+      case 24:
+        return blend<0xFFFFFF>(a, b);
+      case 25:
+        return blend<0x1FFFFFF>(a, b);
+      case 26:
+        return blend<0x3FFFFFF>(a, b);
+      case 27:
+        return blend<0x7FFFFFF>(a, b);
+      case 28:
+        return blend<0xFFFFFFF>(a, b);
+      case 29:
+        return blend<0x1FFFFFFF>(a, b);
+      case 30:
+        return blend<0x3FFFFFFF>(a, b);
+      case 31:
+        return blend<0x7FFFFFFF>(a, b);
+      case 32:
+        return blend<0xFFFFFFFF>(a, b);
+      case 33:
+        return blend<0x1FFFFFFFF>(a, b);
+      case 34:
+        return blend<0x3FFFFFFFF>(a, b);
+      case 35:
+        return blend<0x7FFFFFFFF>(a, b);
+      case 36:
+        return blend<0xFFFFFFFFF>(a, b);
+      case 37:
+        return blend<0x1FFFFFFFFF>(a, b);
+      case 38:
+        return blend<0x3FFFFFFFFF>(a, b);
+      case 39:
+        return blend<0x7FFFFFFFFF>(a, b);
+      case 40:
+        return blend<0xFFFFFFFFFF>(a, b);
+      case 41:
+        return blend<0x1FFFFFFFFFF>(a, b);
+      case 42:
+        return blend<0x3FFFFFFFFFF>(a, b);
+      case 43:
+        return blend<0x7FFFFFFFFFF>(a, b);
+      case 44:
+        return blend<0xFFFFFFFFFFF>(a, b);
+      case 45:
+        return blend<0x1FFFFFFFFFFF>(a, b);
+      case 46:
+        return blend<0x3FFFFFFFFFFF>(a, b);
+      case 47:
+        return blend<0x7FFFFFFFFFFF>(a, b);
+      case 48:
+        return blend<0xFFFFFFFFFFFF>(a, b);
+      case 49:
+        return blend<0x1FFFFFFFFFFFF>(a, b);
+      case 50:
+        return blend<0x3FFFFFFFFFFFF>(a, b);
+      case 51:
+        return blend<0x7FFFFFFFFFFFF>(a, b);
+      case 52:
+        return blend<0xFFFFFFFFFFFFF>(a, b);
+      case 53:
+        return blend<0x1FFFFFFFFFFFFF>(a, b);
+      case 54:
+        return blend<0x3FFFFFFFFFFFFF>(a, b);
+      case 55:
+        return blend<0x7FFFFFFFFFFFFF>(a, b);
+      case 56:
+        return blend<0xFFFFFFFFFFFFFF>(a, b);
+      case 57:
+        return blend<0x1FFFFFFFFFFFFFF>(a, b);
+      case 58:
+        return blend<0x3FFFFFFFFFFFFFF>(a, b);
+      case 59:
+        return blend<0x7FFFFFFFFFFFFFF>(a, b);
+      case 60:
+        return blend<0xFFFFFFFFFFFFFFF>(a, b);
+      case 61:
+        return blend<0x1FFFFFFFFFFFFFFF>(a, b);
+      case 62:
+        return blend<0x3FFFFFFFFFFFFFFF>(a, b);
+      case 63:
+        return blend<0x7FFFFFFFFFFFFFFF>(a, b);
+    }
+    return b;
+  }
+  static Vectorized<T> loadu(const void* ptr) {
+    return _mm512_loadu_si512(reinterpret_cast<const __m512i*>(ptr));
+  }
+  static Vectorized<T> loadu_one_fourth(const void* ptr) {
+      // Fast path if only load element number of 16.
+      // Note: We didn't merge it as fast path of loadu(const void* ptr, T count),
+      // Because loadu(const void* ptr, T count) requires zero initialization for upper 384 bits.
+      // However, by using _mm512_castsi128_si512, the upper 384 bits of the result are undefined.
+      // TODO<leslie> We can use _mm512_zextsi128_si512 in the furture,
+      // since gcc 9.3 doesn't support it now.
+      __m128i input_128 = _mm_loadu_si128(reinterpret_cast<const __m128i*>(ptr));
+      return _mm512_castsi128_si512(input_128);
+  }
+  static Vectorized<T> loadu(const void* ptr, T count) {
+    __at_align__ T tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, ptr, count * sizeof(T));
+    return loadu(tmp_values);
+  }
+  void store(void* ptr, int count = size()) const {
+    if (count == size()) {
+      // ptr need not to be aligned here. See
+      // https://software.intel.com/content/www/us/en/develop/documentation/cpp-compiler-developer-guide-and-reference/top/compiler-reference/intrinsics/intrinsics-for-intel-advanced-vector-extensions/intrinsics-for-load-and-store-operations-1/mm512-storeu-si512.html
+      _mm512_storeu_si512(reinterpret_cast<__m512i*>(ptr), values);
+    } else if (count > 0) {
+      if (count == 16) {
+        // Fast path if only store element number of 16
+        _mm_storeu_si128(
+          reinterpret_cast<__m128i*>(ptr),
+          _mm512_castsi512_si128(values));
+      } else {
+        __at_align__ T tmp_values[size()];
+        _mm512_storeu_si512(reinterpret_cast<__m512i*>(tmp_values), values);
+        std::memcpy(ptr, tmp_values, count * sizeof(T));
+      }
+    }
+  }
+  const T& operator[](int idx) const  = delete;
+  T& operator[](int idx)  = delete;
+  Vectorized<T> real() const {
+    return *this;
+  }
+  Vectorized<T> imag() const {
+    return _mm512_set1_epi8(0);
+  }
+  Vectorized<T> conj() const {
+    return *this;
+  }
+};
+
+template<>
+class Vectorized<int8_t>: public Vectorized8<int8_t> {
+public:
+  using Vectorized8::Vectorized8;
+
+  static Vectorized<int8_t> blendv(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b,
+                               const Vectorized<int8_t>& mask) {
+    auto msb_one = _mm512_set1_epi8(0xFF);
+    auto mask_ = _mm512_cmp_epi8_mask(mask, msb_one, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi8(mask_, a.values, b.values);
+  }
+
+  Vectorized<int8_t> neg() const;
+
+  Vectorized<int8_t> abs() const {
+    return _mm512_abs_epi8(values);
+  }
+
+  Vectorized<int8_t> operator==(const Vectorized<int8_t>& other) const {
+    auto mask = _mm512_cmpeq_epi8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<int8_t> operator!=(const Vectorized<int8_t>& other) const {
+    auto mask = _mm512_cmpneq_epi8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<int8_t> operator<(const Vectorized<int8_t>& other) const {
+    auto mask = _mm512_cmplt_epi8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<int8_t> operator<=(const Vectorized<int8_t>& other) const {
+    auto mask = _mm512_cmple_epi8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<int8_t> operator>(const Vectorized<int8_t>& other) const {
+    return other < *this;
+  }
+  Vectorized<int8_t> operator>=(const Vectorized<int8_t>& other) const {
+    return other <= *this;
+  }
+
+  Vectorized<int8_t> eq(const Vectorized<int8_t>& other) const;
+  Vectorized<int8_t> ne(const Vectorized<int8_t>& other) const;
+  Vectorized<int8_t> gt(const Vectorized<int8_t>& other) const;
+  Vectorized<int8_t> ge(const Vectorized<int8_t>& other) const;
+  Vectorized<int8_t> lt(const Vectorized<int8_t>& other) const;
+  Vectorized<int8_t> le(const Vectorized<int8_t>& other) const;
+};
+
+template<>
+class Vectorized<uint8_t>: public Vectorized8<uint8_t> {
+public:
+  using Vectorized8::Vectorized8;
+
+  static Vectorized<uint8_t> blendv(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b,
+                               const Vectorized<uint8_t>& mask) {
+    auto msb_one = _mm512_set1_epi8(0xFF);
+    auto mask_ = _mm512_cmp_epu8_mask(mask, msb_one, _MM_CMPINT_EQ);
+    return _mm512_mask_blend_epi8(mask_, a.values, b.values);
+  }
+
+  Vectorized<uint8_t> neg() const;
+
+  Vectorized<uint8_t> abs() const {
+    return *this;
+  }
+
+  Vectorized<uint8_t> operator==(const Vectorized<uint8_t>& other) const {
+    auto mask = _mm512_cmpeq_epu8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<uint8_t> operator!=(const Vectorized<uint8_t>& other) const {
+    auto mask = _mm512_cmpneq_epu8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<uint8_t> operator<(const Vectorized<uint8_t>& other) const {
+    auto mask = _mm512_cmplt_epu8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<uint8_t> operator<=(const Vectorized<uint8_t>& other) const {
+    auto mask = _mm512_cmple_epu8_mask(values, other.values);
+    return _mm512_mask_set1_epi8(zero_vector, mask, 0xFF);
+  }
+  Vectorized<uint8_t> operator>(const Vectorized<uint8_t>& other) const {
+    return other < *this;
+  }
+  Vectorized<uint8_t> operator>=(const Vectorized<uint8_t>& other) const {
+    return other <= *this;
+  }
+
+  Vectorized<uint8_t> eq(const Vectorized<uint8_t>& other) const;
+  Vectorized<uint8_t> ne(const Vectorized<uint8_t>& other) const;
+  Vectorized<uint8_t> gt(const Vectorized<uint8_t>& other) const;
+  Vectorized<uint8_t> ge(const Vectorized<uint8_t>& other) const;
+  Vectorized<uint8_t> lt(const Vectorized<uint8_t>& other) const;
+  Vectorized<uint8_t> le(const Vectorized<uint8_t>& other) const;
+};
+
+template <>
+Vectorized<int64_t> inline operator+(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_add_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline operator+(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_add_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline operator+(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_add_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline operator+(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return _mm512_add_epi8(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline operator+(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return _mm512_add_epi8(a, b);
+}
+
+template <>
+Vectorized<int64_t> inline operator-(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_sub_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline operator-(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_sub_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline operator-(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_sub_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline operator-(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return _mm512_sub_epi8(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline operator-(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return _mm512_sub_epi8(a, b);
+}
+
+// Negation. Defined here so we can utilize operator-
+inline Vectorized<int64_t> Vectorized<int64_t>::neg() const {
+  return Vectorized<int64_t>(0) - *this;
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::neg() const {
+  return Vectorized<int32_t>(0) - *this;
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::neg() const {
+  return Vectorized<int16_t>(0) - *this;
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::neg() const {
+  return Vectorized<int8_t>(0) - *this;
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::neg() const {
+  return Vectorized<uint8_t>(0) - *this;
+}
+
+template <>
+Vectorized<int64_t> inline operator*(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_mullo_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline operator*(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_mullo_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline operator*(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_mullo_epi16(a, b);
+}
+
+template <typename T, typename Op>
+Vectorized<T> inline int_elementwise_binary_512(const Vectorized<T>& a, const Vectorized<T>& b, Op op) {
+  T values_a[Vectorized<T>::size()];
+  T values_b[Vectorized<T>::size()];
+  a.store(values_a);
+  b.store(values_b);
+  for (int i = 0; i != Vectorized<T>::size(); i++) {
+    values_a[i] = op(values_a[i], values_b[i]);
+  }
+  return Vectorized<T>::loadu(values_a);
+}
+
+template <>
+Vectorized<int8_t> inline operator*(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  // We don't have an instruction for multiplying int8_t
+  return int_elementwise_binary_512(a, b, std::multiplies<int8_t>());
+}
+
+template <>
+Vectorized<uint8_t> inline operator*(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  // We don't have an instruction for multiplying uint8_t
+  return int_elementwise_binary_512(a, b, std::multiplies<uint8_t>());
+}
+
+template <>
+Vectorized<int64_t> inline minimum(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_min_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline minimum(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_min_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline minimum(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_min_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline minimum(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return _mm512_min_epi8(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline minimum(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return _mm512_min_epu8(a, b);
+}
+
+template <>
+Vectorized<int64_t> inline maximum(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_max_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline maximum(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_max_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline maximum(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_max_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline maximum(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return _mm512_max_epi8(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline maximum(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return _mm512_max_epi8(a, b);
+}
+
+template <>
+Vectorized<int64_t> inline clamp(const Vectorized<int64_t>& a, const Vectorized<int64_t>& min_val, const Vectorized<int64_t>& max_val) {
+  return _mm512_min_epi64(max_val, _mm512_max_epi64(a, min_val));
+}
+
+template <>
+Vectorized<int32_t> inline clamp(const Vectorized<int32_t>& a, const Vectorized<int32_t>& min_val, const Vectorized<int32_t>& max_val) {
+  return _mm512_min_epi32(max_val, _mm512_max_epi32(a, min_val));
+}
+
+template <>
+Vectorized<int16_t> inline clamp(const Vectorized<int16_t>& a, const Vectorized<int16_t>& min_val, const Vectorized<int16_t>& max_val) {
+  return _mm512_min_epi16(max_val, _mm512_max_epi16(a, min_val));
+}
+
+template <>
+Vectorized<int8_t> inline clamp(const Vectorized<int8_t>& a, const Vectorized<int8_t>& min_val, const Vectorized<int8_t>& max_val) {
+  return _mm512_min_epi8(max_val, _mm512_max_epi8(a, min_val));
+}
+
+template <>
+Vectorized<uint8_t> inline clamp(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& min_val, const Vectorized<uint8_t>& max_val) {
+  return _mm512_min_epu8(max_val, _mm512_max_epu8(a, min_val));
+}
+
+template <>
+Vectorized<int64_t> inline clamp_max(const Vectorized<int64_t>& a, const Vectorized<int64_t>& max_val) {
+  return _mm512_min_epi64(max_val, a);
+}
+
+template <>
+Vectorized<int32_t> inline clamp_max(const Vectorized<int32_t>& a, const Vectorized<int32_t>& max_val) {
+  return _mm512_min_epi32(max_val, a);
+}
+
+template <>
+Vectorized<int16_t> inline clamp_max(const Vectorized<int16_t>& a, const Vectorized<int16_t>& max_val) {
+  return _mm512_min_epi16(max_val, a);
+}
+
+template <>
+Vectorized<int8_t> inline clamp_max(const Vectorized<int8_t>& a, const Vectorized<int8_t>& max_val) {
+  return _mm512_min_epi8(max_val, a);
+}
+
+template <>
+Vectorized<uint8_t> inline clamp_max(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& max_val) {
+  return _mm512_min_epu8(max_val, a);
+}
+
+template <>
+Vectorized<int64_t> inline clamp_min(const Vectorized<int64_t>& a, const Vectorized<int64_t>& min_val) {
+  return _mm512_max_epi64(min_val, a);
+}
+
+template <>
+Vectorized<int32_t> inline clamp_min(const Vectorized<int32_t>& a, const Vectorized<int32_t>& min_val) {
+  return _mm512_max_epi32(min_val, a);
+}
+
+template <>
+Vectorized<int16_t> inline clamp_min(const Vectorized<int16_t>& a, const Vectorized<int16_t>& min_val) {
+  return _mm512_max_epi16(min_val, a);
+}
+
+template <>
+Vectorized<int8_t> inline clamp_min(const Vectorized<int8_t>& a, const Vectorized<int8_t>& min_val) {
+  return _mm512_max_epi8(min_val, a);
+}
+
+template <>
+Vectorized<uint8_t> inline clamp_min(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& min_val) {
+  return _mm512_max_epu8(min_val, a);
+}
+
+template<typename T>
+Vectorized<int32_t> inline convert_to_int32(const T* ptr) {
+  return Vectorized<int32_t>::loadu(ptr);
+}
+
+template<>
+Vectorized<int32_t> inline convert_to_int32<int8_t>(const int8_t* ptr) {
+  return _mm512_cvtepi8_epi32(_mm_loadu_si128(reinterpret_cast<const __m128i*>(ptr)));
+}
+
+template<>
+Vectorized<int32_t> inline convert_to_int32<uint8_t>(const uint8_t* ptr) {
+  return _mm512_cvtepu8_epi32(_mm_loadu_si128(reinterpret_cast<const __m128i*>(ptr)));
+}
+
+template <>
+Vectorized<int64_t> inline operator/(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return int_elementwise_binary_512(a, b, std::divides<int64_t>());
+}
+template <>
+Vectorized<int32_t> inline operator/(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return int_elementwise_binary_512(a, b, std::divides<int32_t>());
+}
+template <>
+Vectorized<int16_t> inline operator/(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return int_elementwise_binary_512(a, b, std::divides<int16_t>());
+}
+template <>
+Vectorized<int8_t> inline operator/(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return int_elementwise_binary_512(a, b, std::divides<int8_t>());
+}
+template <>
+Vectorized<uint8_t> inline operator/(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return int_elementwise_binary_512(a, b, std::divides<uint8_t>());
+}
+
+template<class T, typename std::enable_if_t<std::is_base_of<Vectorizedi, Vectorized<T>>::value, int> = 0>
+inline Vectorized<T> operator&(const Vectorized<T>& a, const Vectorized<T>& b) {
+  return _mm512_and_si512(a, b);
+}
+template<class T, typename std::enable_if_t<std::is_base_of<Vectorizedi, Vectorized<T>>::value, int> = 0>
+inline Vectorized<T> operator|(const Vectorized<T>& a, const Vectorized<T>& b) {
+  return _mm512_or_si512(a, b);
+}
+template<class T, typename std::enable_if_t<std::is_base_of<Vectorizedi, Vectorized<T>>::value, int> = 0>
+inline Vectorized<T> operator^(const Vectorized<T>& a, const Vectorized<T>& b) {
+  return _mm512_xor_si512(a, b);
+}
+template<class T, typename std::enable_if_t<std::is_base_of<Vectorizedi, Vectorized<T>>::value, int> = 0>
+inline Vectorized<T> operator~(const Vectorized<T>& a) {
+  return _mm512_xor_si512(a, _mm512_set1_epi32(-1));
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::eq(const Vectorized<int64_t>& other) const {
+  return (*this == other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::ne(const Vectorized<int64_t>& other) const {
+  return (*this != other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::gt(const Vectorized<int64_t>& other) const {
+  return (*this > other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::ge(const Vectorized<int64_t>& other) const {
+  return (*this >= other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::lt(const Vectorized<int64_t>& other) const {
+  return (*this < other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int64_t> Vectorized<int64_t>::le(const Vectorized<int64_t>& other) const {
+  return (*this <= other) & Vectorized<int64_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::eq(const Vectorized<int32_t>& other) const {
+  return (*this == other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::ne(const Vectorized<int32_t>& other) const {
+  return (*this != other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::gt(const Vectorized<int32_t>& other) const {
+  return (*this > other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::ge(const Vectorized<int32_t>& other) const {
+  return (*this >= other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::lt(const Vectorized<int32_t>& other) const {
+  return (*this < other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int32_t> Vectorized<int32_t>::le(const Vectorized<int32_t>& other) const {
+  return (*this <= other) & Vectorized<int32_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::eq(const Vectorized<int16_t>& other) const {
+  return (*this == other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::ne(const Vectorized<int16_t>& other) const {
+  return (*this != other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::gt(const Vectorized<int16_t>& other) const {
+  return (*this > other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::ge(const Vectorized<int16_t>& other) const {
+  return (*this >= other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::lt(const Vectorized<int16_t>& other) const {
+  return (*this < other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int16_t> Vectorized<int16_t>::le(const Vectorized<int16_t>& other) const {
+  return (*this <= other) & Vectorized<int16_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::eq(const Vectorized<int8_t>& other) const {
+  return (*this == other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::ne(const Vectorized<int8_t>& other) const {
+  return (*this != other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::gt(const Vectorized<int8_t>& other) const {
+  return (*this > other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::ge(const Vectorized<int8_t>& other) const {
+  return (*this >= other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::lt(const Vectorized<int8_t>& other) const {
+  return (*this < other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<int8_t> Vectorized<int8_t>::le(const Vectorized<int8_t>& other) const {
+  return (*this <= other) & Vectorized<int8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::eq(const Vectorized<uint8_t>& other) const {
+  return (*this == other) & Vectorized<uint8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::ne(const Vectorized<uint8_t>& other) const {
+  return (*this != other) & Vectorized<uint8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::gt(const Vectorized<uint8_t>& other) const {
+  return (*this > other) & Vectorized<uint8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::ge(const Vectorized<uint8_t>& other) const {
+  return (*this >= other) & Vectorized<uint8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::lt(const Vectorized<uint8_t>& other) const {
+  return (*this < other) & Vectorized<uint8_t>(1);
+}
+
+inline Vectorized<uint8_t> Vectorized<uint8_t>::le(const Vectorized<uint8_t>& other) const {
+  return (*this <= other) & Vectorized<uint8_t>(1);
+}
+
+template <bool left_shift, typename T, typename std::enable_if_t<std::is_same<T, int8_t>::value || std::is_same<T, uint8_t>::value, int> = 0>
+Vectorized<T> inline shift_512_8(const Vectorized<T>& a, const Vectorized<T>& b) {
+  // No vector instruction for shifting int8_t/uint8_t, so emulating
+  // it instead.
+
+  // Control masks for shuffle operation, treating 512 bits as an
+  // array of 8-bit elements, and considering pairs of neighboring
+  // elements.  Specifially, a mask named "ctl_M_N" (M,N in [0,1], and
+  // M!=N) is set so that shuffle will move element with index M from
+  // input pair into element with index N in output pair, and element
+  // with index M in output pair will be set to all 0s.
+  __m512i ctl_0_1 = _mm512_set_epi8(62, 0x80, 60, 0x80, 58, 0x80, 56, 0x80,
+                                    54, 0x80, 52, 0x80, 50, 0x80, 48, 0x80,
+                                    46, 0x80, 44, 0x80, 42, 0x80, 40, 0x80,
+                                    38, 0x80, 36, 0x80, 34, 0x80, 32, 0x80,
+                                    30, 0x80, 28, 0x80, 26, 0x80, 24, 0x80,
+                                    22, 0x80, 20, 0x80, 18, 0x80, 16, 0x80,
+                                    14, 0x80, 12, 0x80, 10, 0x80, 8, 0x80,
+                                    6, 0x80, 4, 0x80, 2, 0x80, 0, 0x80);
+  __m512i ctl_1_0 = _mm512_set_epi8(0x80, 63, 0x80, 61, 0x80, 59, 0x80, 57,
+                                    0x80, 55, 0x80, 53, 0x80, 51, 0x80, 49,
+                                    0x80, 47, 0x80, 45, 0x80, 43, 0x80, 41,
+                                    0x80, 39, 0x80, 37, 0x80, 35, 0x80, 33,
+                                    0x80, 31, 0x80, 29, 0x80, 27, 0x80, 25,
+                                    0x80, 23, 0x80, 21, 0x80, 19, 0x80, 17,
+                                    0x80, 15, 0x80, 13, 0x80, 11, 0x80, 9,
+                                    0x80, 7, 0x80, 5, 0x80, 3, 0x80, 1);
+
+  // Masks for bitwise and operation, treating 512 bits as an array of
+  // 8-bit elements, and considering them in pairs of neighboring
+  // elements.  A mask named "keep_M" (M in [0,1]) is set so that
+  // bitwise and will copy element with index M from input pair into
+  // element with the same index in output pair, while the other
+  // element in output pair will be set to all 0s.
+  __m512i keep_0 = _mm512_set1_epi16(0xFF);
+  __m512i keep_1 = _mm512_set1_epi16(0xFF00);
+
+  // Take each 8-bit element with idx%2==0 from input array to be
+  // shifted and extend it to 16 bits so that 0s are added to the
+  // right.  Then, perform shifting on this 16-bit number.  Upper 8
+  // bits will be proper result of shifting original 8-bit number, so
+  // write them to result array, into the same position from which
+  // corresponding input element is taken.  Also, make sure that
+  // result array elements with idx%2!=0 are set to all 0s.
+  //
+  // Note that number of bits to shift for is extended to 16 bits by
+  // adding 0s to the left.  That means this number is not properly
+  // sign-extended for negative values.  However, number of bits to
+  // shift is treated as an unsigned integer by respective shift
+  // intrinsics anyway so if negative then either with or without
+  // proper sign extension, it will be interpreted as a number greater
+  // than 32, and the shifting result will be the same.
+  __m512i a0 = _mm512_shuffle_epi8(a, ctl_0_1);
+  __m512i b0 = _mm512_and_si512(b, keep_0);
+  __m512i c0;
+  if (left_shift)
+    c0 = _mm512_sllv_epi16(a0, b0);
+  else
+    if constexpr (std::is_same_v<T, int8_t>)
+      c0 = _mm512_srav_epi16(a0, b0);
+    else
+      c0 = _mm512_srlv_epi16(a0, b0);
+  c0 = _mm512_shuffle_epi8(c0, ctl_1_0);
+
+  // Peform shifting the same way for input array elements with
+  // idx%2==1.
+  __m512i a1 = _mm512_and_si512(a, keep_1);
+  __m512i b1 = _mm512_shuffle_epi8(b, ctl_1_0);
+  __m512i c1;
+  if (left_shift)
+    c1 = _mm512_sllv_epi16(a1, b1);
+  else
+    if constexpr (std::is_same_v<T, int8_t>)
+      c1 = _mm512_srav_epi16(a1, b1);
+    else
+      c1 = _mm512_srlv_epi16(a1, b1);
+  c1 = _mm512_and_si512(c1, keep_1);
+
+  // Merge partial results into the final result.
+  __m512i c = _mm512_or_si512(c0, c1);
+
+  return c;
+}
+
+template <>
+Vectorized<int64_t> inline operator<<(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_sllv_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline operator<<(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_sllv_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline operator<<(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_sllv_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline operator<<(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return shift_512_8<true>(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline operator<<(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return shift_512_8<true>(a, b);
+}
+
+template <>
+Vectorized<int64_t> inline operator>>(const Vectorized<int64_t>& a, const Vectorized<int64_t>& b) {
+  return _mm512_srav_epi64(a, b);
+}
+
+template <>
+Vectorized<int32_t> inline operator>>(const Vectorized<int32_t>& a, const Vectorized<int32_t>& b) {
+  return _mm512_srav_epi32(a, b);
+}
+
+template <>
+Vectorized<int16_t> inline operator>>(const Vectorized<int16_t>& a, const Vectorized<int16_t>& b) {
+  return _mm512_srav_epi16(a, b);
+}
+
+template <>
+Vectorized<int8_t> inline operator>>(const Vectorized<int8_t>& a, const Vectorized<int8_t>& b) {
+  return shift_512_8<false>(a, b);
+}
+
+template <>
+Vectorized<uint8_t> inline operator>>(const Vectorized<uint8_t>& a, const Vectorized<uint8_t>& b) {
+  return shift_512_8<false>(a, b);
+}
+
+#endif
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vec/vec512/vec512_qint.h

@@ -0,0 +1,1338 @@
+#pragma once
+
+// DO NOT DEFINE STATIC DATA IN THIS HEADER!
+// See Note [Do not compile initializers with AVX]
+
+#include <ATen/cpu/vec/intrinsics.h>
+#include <ATen/cpu/vec/vec_base.h>
+#include <ATen/native/quantized/AffineQuantizerBase.h>
+
+#include <c10/util/irange.h>
+#include <c10/util/qint32.h>
+#include <c10/util/qint8.h>
+#include <c10/util/quint8.h>
+
+#include <array>
+#include <cmath>
+
+// This file defines Vectorized<> for the quantized types.
+//
+//
+// Currently, we simply use these classes as efficient converters between
+// the quantized types and Vectorized<float>, usually in bandwidth-bound cases
+// where doing the arithmetic in full-precision is acceptable (e.g.
+// elementwise operators).
+//
+//
+// Conversions are as follows:
+//  Vectorized<qint8> -> 4x Vectorized<float>
+//  Vectorized<quint8> -> 4x Vectorized<float>
+//  Vectorized<qint32> -> 1x Vectorized<float>
+//
+// The size of the returned float vector is specified by the special
+// constexpr function float_num_vecs. The type of the value returned
+// from dequantize (and expected as an argument to quantize) is
+// specified by float_vec_return_type.
+//
+// When writing kernels with these vectors, it is expected that floating-
+// point operations will be carried out in a loop over Vectorized<T>::float_num_vecs
+// iterations.
+
+namespace at {
+namespace vec {
+inline namespace CPU_CAPABILITY {
+
+#if defined(CPU_CAPABILITY_AVX512) && !defined(_MSC_VER)
+
+struct Vectorizedqi {
+ protected:
+  __m512i vals __attribute__((aligned(64)));
+
+ public:
+  Vectorizedqi() {}
+  Vectorizedqi(__m512i v) : vals(v) {}
+  operator __m512i() const {
+    return vals;
+  }
+};
+
+
+template <typename T>
+__m512i pack_saturate_and_clamp(
+    __m512i first,
+    __m512i second,
+    T min_val,
+    T max_val);
+
+template <>
+inline __m512i pack_saturate_and_clamp<int32_t>(
+    __m512i first,
+    __m512i second,
+    int32_t min_val,
+    int32_t max_val) {
+  // This function is for linkage only, will not be used
+  AT_ERROR("pack_saturate_and_clamp<int32_t> is not supported");
+}
+
+template <>
+inline __m512i pack_saturate_and_clamp<int8_t>(
+    __m512i first,
+    __m512i second,
+    int8_t min_val,
+    int8_t max_val) {
+  __m512i packed_and_sat = _mm512_packs_epi16(first, second);
+  return _mm512_max_epi8(
+      _mm512_set1_epi8(min_val),
+      _mm512_min_epi8(packed_and_sat, _mm512_set1_epi8(max_val)));
+}
+
+template <>
+inline __m512i pack_saturate_and_clamp<uint8_t>(
+    __m512i first,
+    __m512i second,
+    uint8_t min_val,
+    uint8_t max_val) {
+  __m512i packed_and_sat = _mm512_packus_epi16(first, second);
+  return _mm512_max_epu8(
+      _mm512_set1_epi8(min_val),
+      _mm512_min_epu8(packed_and_sat, _mm512_set1_epi8(max_val)));
+}
+
+inline Vectorized<float> convert_uint8_to_float(at::vec::Vectorized<uint8_t> src) {
+  // Note: this function only convert inputs number of elements equal to at::vec::Vectorized<float>.size()
+  // Only handle first 128 bits
+  __m128i input_128 = _mm512_castsi512_si128(src);
+  // Convert from 16*u8 to 16*int32
+  __m512i input_512_extended = _mm512_cvtepu8_epi32(input_128);
+  // Convert from 16*int32 to 16*float32
+  return _mm512_cvtepi32_ps(input_512_extended);
+}
+
+inline Vectorized<uint8_t> convert_float_to_uint8(at::vec::Vectorized<float> src) {
+  // Convert from float32 to int32 with truncation
+  __m512i x_values_int32 = _mm512_cvttps_epi32(src);
+
+  // Convert from int32 to int16 using signed saturation
+  __m512i xy_packed_v = _mm512_packs_epi32(x_values_int32, x_values_int32);
+
+  constexpr auto min_val = std::numeric_limits<uint8_t>::min();
+  constexpr auto max_val = std::numeric_limits<uint8_t>::max();
+
+  // Convert from int16 to uint8 using unsigned saturation
+  __m512i xyzw_clamped_v = pack_saturate_and_clamp<uint8_t>(
+      xy_packed_v, xy_packed_v, min_val, max_val);
+  __m512i permute_mask_v =
+      _mm512_set_epi32(0x0f, 0x0b, 0x07, 0x03, 0x0e, 0x0a, 0x06, 0x02,
+                      0x0d, 0x09, 0x05, 0x01, 0x0c, 0x08, 0x04, 0x00);
+  return _mm512_permutexvar_epi32(permute_mask_v, xyzw_clamped_v);
+}
+
+template <typename T>
+inline void __attribute__((always_inline)) QuantizeAvx512(
+    const float* src,
+    T* dst,
+    int len,
+    float inverse_scale,
+    int64_t zero_point) {
+  constexpr int VLEN = 16;
+  constexpr auto min_val = std::numeric_limits<T>::min();
+  constexpr auto max_val = std::numeric_limits<T>::max();
+  const __m512i min_v = _mm512_set1_epi32(min_val);
+  const __m512i max_v = _mm512_set1_epi32(max_val);
+  // This is the largest int32 value < int32_max exactly representable in float
+  constexpr int32_t int32_float_max_val =
+      std::numeric_limits<int32_t>::max() - 127;
+  int i = 0;
+  __m512 inverse_scale_v = _mm512_set1_ps(inverse_scale);
+  // clang-format off
+  static const __m512i shuffle_mask_v = _mm512_set_epi8(
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0x0c, 0x08, 0x04, 0x00,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0x0c, 0x08, 0x04, 0x00,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0x0c, 0x08, 0x04, 0x00,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0xff, 0xff, 0xff, 0xff,
+      0x0c, 0x08, 0x04, 0x00);
+  // clang-format on
+  __m512i permute_mask_v =
+      _mm512_set_epi32(0x0f, 0x0b, 0x07, 0x03, 0x0e, 0x0a, 0x06, 0x02,
+                       0x0d, 0x09, 0x05, 0x01, 0x0c, 0x08, 0x04, 0x00);
+  __m512i permute_mask_l8_v =
+      _mm512_set_epi32(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+                       0x00, 0x00, 0x00, 0x00, 0x0c, 0x08, 0x04, 0x00);
+  int len_aligned = len / (VLEN * 4) * (VLEN * 4);
+  for (; i < len_aligned; i += 4 * VLEN) {
+    // x
+    __m512 x_vals = _mm512_load_ps(src + i);
+    __m512 x_transformed_v = _mm512_mul_ps(x_vals, inverse_scale_v);
+    // If the floating point value is greater than int32_max,
+    // _mm512_cvtps_epi32 converts them to -ve. Clip at int32_float_max_val to
+    // Clip at int32_float_max_val to avoid this.
+    x_transformed_v =
+        _mm512_min_ps(x_transformed_v, _mm512_set1_ps(int32_float_max_val));
+    // y
+    __m512 y_vals = _mm512_load_ps(src + i + VLEN);
+    __m512 y_transformed_v = _mm512_mul_ps(y_vals, inverse_scale_v);
+    y_transformed_v =
+        _mm512_min_ps(y_transformed_v, _mm512_set1_ps(int32_float_max_val));
+    // z
+    __m512 z_vals = _mm512_load_ps(src + i + 2 * VLEN);
+    __m512 z_transformed_v = _mm512_mul_ps(z_vals, inverse_scale_v);
+    z_transformed_v =
+        _mm512_min_ps(z_transformed_v, _mm512_set1_ps(int32_float_max_val));
+    // w
+    __m512 w_vals = _mm512_load_ps(src + i + 3 * VLEN);
+    __m512 w_transformed_v = _mm512_mul_ps(w_vals, inverse_scale_v);
+    w_transformed_v =
+        _mm512_min_ps(w_transformed_v, _mm512_set1_ps(int32_float_max_val));
+
+    __m512i x_rounded_v = _mm512_cvtps_epi32(x_transformed_v);
+    __m512i y_rounded_v = _mm512_cvtps_epi32(y_transformed_v);
+    __m512i z_rounded_v = _mm512_cvtps_epi32(z_transformed_v);
+    __m512i w_rounded_v = _mm512_cvtps_epi32(w_transformed_v);
+
+    // add zero point
+    x_rounded_v = _mm512_add_epi32(x_rounded_v, _mm512_set1_epi32(zero_point));
+    y_rounded_v = _mm512_add_epi32(y_rounded_v, _mm512_set1_epi32(zero_point));
+    z_rounded_v = _mm512_add_epi32(z_rounded_v, _mm512_set1_epi32(zero_point));
+    w_rounded_v = _mm512_add_epi32(w_rounded_v, _mm512_set1_epi32(zero_point));
+
+    __m512i xy_packed_v = _mm512_packs_epi32(x_rounded_v, y_rounded_v);
+    __m512i zw_packed_v = _mm512_packs_epi32(z_rounded_v, w_rounded_v);
+    __m512i xyzw_clamped_v =
+        pack_saturate_and_clamp<T>(xy_packed_v, zw_packed_v, min_val, max_val);
+
+    xyzw_clamped_v =
+        _mm512_permutexvar_epi32(permute_mask_v, xyzw_clamped_v);
+    _mm512_storeu_si512(reinterpret_cast<__m512i*>(dst + i), xyzw_clamped_v);
+  }
+
+  // Additional 8-lane AVX512 version to take advantage when len is smaller
+  // based on fbgemm::QuantizeAvx2 (https://github.com/pytorch/FBGEMM)
+  for (; i < len / VLEN * VLEN; i += VLEN) {
+    __m512 x_vals = _mm512_load_ps(src + i);
+    __m512 x_transformed_v = _mm512_mul_ps(x_vals, inverse_scale_v);
+    x_transformed_v =
+        _mm512_min_ps(x_transformed_v, _mm512_set1_ps(int32_float_max_val));
+    __m512i x_rounded_v = _mm512_cvtps_epi32(x_transformed_v);
+    x_rounded_v = _mm512_add_epi32(x_rounded_v, _mm512_set1_epi32(zero_point));
+    __m512i x_clipped_v =
+        _mm512_max_epi32(min_v, _mm512_min_epi32(max_v, x_rounded_v));
+
+    x_clipped_v = _mm512_shuffle_epi8(x_clipped_v, shuffle_mask_v);
+    x_clipped_v = _mm512_permutexvar_epi32(permute_mask_l8_v, x_clipped_v);
+    _mm_storeu_si128(
+        reinterpret_cast<__m128i*>(dst + i),
+        _mm512_castsi512_si128(x_clipped_v));
+  }
+
+  for (; i < len; ++i) {
+    float transformed = src[i] * inverse_scale;
+
+    // Not exactly the same behavior as the vectorized code.
+    // The vectorized code above always rounds to even in halfway cases
+    // (https://software.intel.com/en-us/node/523819), but std::nearbyint
+    // does the same only when the current rounding mode is FE_TONEAREST.
+    // However, in practice, this should not be a problem because most cases
+    // use the default rounding mode FE_TONEAREST.
+    // Note that we cannot implement the same behavior as the vectorized code
+    // using std::round because it does rounding away from zero in halfway
+    // cases.
+    transformed = zero_point + std::nearbyint(transformed);
+    float clipped =
+        std::min(std::max(transformed, float(min_val)), float(max_val));
+    dst[i] = clipped;
+  }
+}
+
+template<>
+struct Vectorized<c10::qint32> : public Vectorizedqi {
+    using size_type = int;
+    static constexpr size_type size() {
+        return 16;
+    }
+
+    static constexpr int float_num_vecs() {
+        return 1;
+    }
+
+    static constexpr int int_num_vecs() {
+        return 1;
+    }
+
+    using float_vec_return_type = std::array<Vectorized<float>, 1>;
+    using int_vec_return_type = std::array<Vectorized<c10::qint32>, 1>;
+    using value_type = c10::qint32::underlying;
+
+ public:
+    using Vectorizedqi::Vectorizedqi;
+    Vectorized() {}
+
+    Vectorized(__m512i vals_) { vals = vals_;}
+
+    // Broadcast constructor
+    Vectorized(const c10::qint32& val) {
+        value_type uw = val.val_;
+        vals = _mm512_set1_epi32(uw);
+    }
+
+    void store(void* ptr, int count = size()) const {
+      if (count != size()) {
+        memcpy(ptr, &vals, count * sizeof(value_type));
+      } else {
+        _mm512_storeu_si512((__m512i*)ptr, vals);
+      }
+    }
+
+    static Vectorized<c10::qint32> loadu(const void* ptr) {
+        return Vectorized<c10::qint32>(ptr);
+    }
+
+    static Vectorized<c10::qint32> loadu(const void* ptr, int64_t count) {
+        __at_align__ value_type tmp_values[size()];
+        // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+        // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+        // instructions while a loop would be compiled to one instruction.
+        for (const auto i : c10::irange(size())) {
+          tmp_values[i] = 0;
+        }
+        std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+        return loadu(tmp_values);
+    }
+
+    float_vec_return_type dequantize(
+        Vectorized<float> scale,
+        Vectorized<float> zero_point,
+        Vectorized<float> scale_zp_premul) const {
+      __m512 float_vals = _mm512_cvtepi32_ps(vals);
+      return {vec::fmadd(scale, Vectorized<float>(float_vals), scale_zp_premul)};
+    }
+
+    float_vec_return_type dequantize(
+        Vectorized<float> scale,
+        Vectorized<float> zero_point) const {
+      __m512 float_vals = _mm512_cvtepi32_ps(vals);
+      return {(Vectorized<float>(float_vals) - zero_point) * scale};
+    }
+
+    static Vectorized<c10::qint32> quantize(
+        const float_vec_return_type& rhs,
+        float scale,
+        int32_t zero_point,
+        float inverse_scale) {
+      Vectorized<c10::qint32> retval;
+      auto rhs_data = (__m512)rhs[0];
+      at::native::quantize_vec<c10::qint32, /*precision=*/32>(
+          scale, zero_point, (float*)&rhs_data, (c10::qint32*)&retval.vals, 16);
+      return retval;
+    }
+
+    Vectorized<c10::qint32> maximum(Vectorized<c10::qint32> b) const {
+      return _mm512_max_epi32(vals, b.vals);
+    }
+
+    Vectorized<c10::qint32> minimum(Vectorized<c10::qint32> b) const {
+      return _mm512_min_epi32(vals, b.vals);
+    }
+
+    Vectorized<c10::qint32> relu(Vectorized<c10::qint32> zero_point) const {
+        return maximum(zero_point);
+    }
+
+    Vectorized<c10::qint32> relu6(
+        Vectorized<c10::qint32> zero_point,
+        Vectorized<c10::qint32> q_six) {
+      return _mm512_min_epi32(
+          _mm512_max_epi32(vals, zero_point.vals), q_six.vals);
+    }
+
+    int_vec_return_type widening_subtract(Vectorized<c10::qint32> b) const {
+      return {_mm512_sub_epi32(vals, b)};
+    }
+
+    static Vectorized<c10::qint32> requantize_from_int(
+        const int_vec_return_type& inp,
+        float multiplier,
+        int32_t zero_point) {
+      __m512 multiplier_v = _mm512_set1_ps(multiplier);
+      __m512i zero_point_v = _mm512_set1_epi32(zero_point);
+
+      __m512 scaled = _mm512_mul_ps(_mm512_cvtepi32_ps(inp[0]), multiplier_v);
+      __m512i rounded = _mm512_cvtps_epi32(scaled);
+      return _mm512_add_epi32(rounded, zero_point_v);
+    }
+
+ private:
+    // Load from memory constructor
+    Vectorized(const void* ptr) {
+      vals = _mm512_loadu_si512((const __m512i*)ptr);
+    }
+};
+
+template <>
+Vectorized<c10::qint32> inline maximum(const Vectorized<c10::qint32>& a, const Vectorized<c10::qint32>& b) {
+  return a.maximum(b);
+}
+
+template <>
+Vectorized<c10::qint32> inline operator*(
+    const Vectorized<c10::qint32>& a,
+    const Vectorized<c10::qint32>& b) {
+  return _mm512_mullo_epi32(a, b);
+}
+
+template <>
+Vectorized<c10::qint32> inline operator+(
+    const Vectorized<c10::qint32>& a,
+    const Vectorized<c10::qint32>& b) {
+  return _mm512_add_epi32(a, b);
+}
+
+/*
+ * Convert values from int32 back to int8/uint8
+ */
+template <typename T>
+__m512i RequantizeAvx512(
+    const std::array<Vectorized<c10::qint32>, 4>& inp,
+    __m512 multiplier,
+    __m512i zp) {
+  static_assert(
+      std::is_same<T, int8_t>::value || std::is_same<T, uint8_t>::value,
+      "Only int8_t/uint8_t are supported");
+  constexpr auto min_val = std::numeric_limits<T>::min();
+  constexpr auto max_val = std::numeric_limits<T>::max();
+  __m512i permute_mask_v =
+      _mm512_set_epi32(0x0f, 0x0b, 0x07, 0x03, 0x0e, 0x0a, 0x06, 0x02,
+                       0x0d, 0x09, 0x05, 0x01, 0x0c, 0x08, 0x04, 0x00);
+  __m512 x_scaled_v = _mm512_mul_ps(_mm512_cvtepi32_ps(inp[0]), multiplier);
+  __m512 y_scaled_v = _mm512_mul_ps(_mm512_cvtepi32_ps(inp[1]), multiplier);
+  __m512 z_scaled_v = _mm512_mul_ps(_mm512_cvtepi32_ps(inp[2]), multiplier);
+  __m512 w_scaled_v = _mm512_mul_ps(_mm512_cvtepi32_ps(inp[3]), multiplier);
+
+  __m512i x_rounded_v = _mm512_cvtps_epi32(x_scaled_v);
+  __m512i y_rounded_v = _mm512_cvtps_epi32(y_scaled_v);
+  __m512i z_rounded_v = _mm512_cvtps_epi32(z_scaled_v);
+  __m512i w_rounded_v = _mm512_cvtps_epi32(w_scaled_v);
+
+  /* Add zero point */
+  __m512i x_v = _mm512_add_epi32(x_rounded_v, zp);
+  __m512i y_v = _mm512_add_epi32(y_rounded_v, zp);
+  __m512i z_v = _mm512_add_epi32(z_rounded_v, zp);
+  __m512i w_v = _mm512_add_epi32(w_rounded_v, zp);
+
+  /* Pack to int16_t and saturate */
+  __m512i xy_packed_v = _mm512_packs_epi32(x_v, y_v);
+  __m512i zw_packed_v = _mm512_packs_epi32(z_v, w_v);
+
+  __m512i xyzw_clamped_v =
+      pack_saturate_and_clamp<T>(xy_packed_v, zw_packed_v, min_val, max_val);
+
+  /*
+   * xyzw_clamped_v has results in the following layout so we need to
+   * permute: x0-3 y0-3 z0-3 w0-3 x4-7 y4-7 z4-7 w4-7 x8-11 y8-11 z8-11 w8-11 x12-15 y12-15 z12-15 w12-15
+   */
+  xyzw_clamped_v = _mm512_permutexvar_epi32(permute_mask_v, xyzw_clamped_v);
+  return xyzw_clamped_v;
+}
+
+template<>
+struct Vectorized<c10::qint8> : public Vectorizedqi {
+    static constexpr int size() {
+        return 64;
+    }
+
+    static constexpr int float_num_vecs() {
+        return 4;
+    }
+
+    static constexpr int int_num_vecs() {
+        return 4;
+    }
+
+    using float_vec_return_type = std::array<Vectorized<float>, 4>;
+    using int_vec_return_type = std::array<Vectorized<c10::qint32>, 4>;
+    using value_type = typename c10::qint8::underlying;
+
+ public:
+    using Vectorizedqi::Vectorizedqi;
+
+    Vectorized() {}
+    Vectorized(__m512i vals_) { vals = vals_;}
+
+    // Broadcast constructor
+    Vectorized(const c10::qint8& val) {
+        value_type uw = val.val_;
+        vals = _mm512_set1_epi8(uw);
+    }
+
+    // This is needed because the compiler emits awful code for the default
+    // constructor for moving the enum
+    Vectorized(const Vectorized<c10::qint8>& other) : Vectorizedqi(other.vals) { }
+
+    // This is added to avoid error: definition of implicit copy assignment operator
+    // for 'Vectorized<c10::qint8>' is deprecated because it has a user-declared
+    // copy constructor [-Werror,-Wdeprecated-copy]
+    Vectorized& operator=(const Vectorized<c10::qint8>&) = default;
+
+    void store(void* ptr, int count = size()) const {
+        if (count != size()) {
+            memcpy(ptr, &vals, count * sizeof(value_type));
+        } else {
+            _mm512_storeu_si512((__m512i*)ptr, vals);
+        }
+    }
+
+    static Vectorized<c10::qint8> loadu(const void* ptr) {
+        return Vectorized<c10::qint8>(ptr);
+    }
+
+    static Vectorized<c10::qint8> loadu(const void* ptr, int64_t count) {
+        __at_align__ value_type tmp_values[size()];
+        // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+        // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+        // instructions while a loop would be compiled to one instruction.
+        for (const auto i : c10::irange(size())) {
+          tmp_values[i] = 0;
+        }
+        std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+        return loadu(tmp_values);
+    }
+
+ private:
+    __m512i cvtepi8_epi32(__m128i epi8_vals) const {
+        return _mm512_cvtepi8_epi32(epi8_vals);
+    }
+
+ public:
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point,
+      Vectorized<float> scale_neg_zp_premul) const {
+    __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+    __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+    __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+    __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+    __m512 float_val0 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val0));
+    __m512 float_val1 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val1));
+    __m512 float_val2 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val2));
+    __m512 float_val3 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val3));
+
+    auto val0 =
+        vec::fmadd(scale, Vectorized<float>(float_val0), scale_neg_zp_premul);
+    auto val1 =
+        vec::fmadd(scale, Vectorized<float>(float_val1), scale_neg_zp_premul);
+    auto val2 =
+        vec::fmadd(scale, Vectorized<float>(float_val2), scale_neg_zp_premul);
+    auto val3 =
+        vec::fmadd(scale, Vectorized<float>(float_val3), scale_neg_zp_premul);
+    return {val0, val1, val2, val3};
+  }
+
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point) const {
+    __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+    __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+    __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+    __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+    __m512 float_val0 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val0));
+    __m512 float_val1 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val1));
+    __m512 float_val2 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val2));
+    __m512 float_val3 = _mm512_cvtepi32_ps(cvtepi8_epi32(int_val3));
+
+    auto val0 = (Vectorized<float>(float_val0) - zero_point) * scale;
+    auto val1 = (Vectorized<float>(float_val1) - zero_point) * scale;
+    auto val2 = (Vectorized<float>(float_val2) - zero_point) * scale;
+    auto val3 = (Vectorized<float>(float_val3) - zero_point) * scale;
+    return {val0, val1, val2, val3};
+  }
+
+  static Vectorized<c10::qint8> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    auto* rhs_data = (float*)rhs.data();
+    int8_t quantized_values[64];
+    QuantizeAvx512<value_type>(
+        rhs_data, quantized_values, 64, inverse_scale, zero_point);
+    return Vectorized<c10::qint8>::loadu(quantized_values);
+  }
+
+  Vectorized<c10::qint8> maximum(Vectorized<c10::qint8> b) const {
+      return _mm512_max_epi8(vals, b.vals);
+    }
+
+  Vectorized<c10::qint8> minimum(Vectorized<c10::qint8> b) const {
+      return _mm512_min_epi8(vals, b.vals);
+    }
+
+    Vectorized<c10::qint8> relu(Vectorized<c10::qint8> zero_point) const {
+        return maximum(zero_point);
+    }
+
+    Vectorized<c10::qint8> relu6(
+        Vectorized<c10::qint8> zero_point,
+        Vectorized<c10::qint8> q_six) {
+      return _mm512_min_epi8(
+          _mm512_max_epi8(vals, zero_point.vals), q_six.vals);
+    }
+
+    int_vec_return_type widening_subtract(Vectorized<c10::qint8> b) const {
+      __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+      __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+      __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+      __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+      __m512i int32_val0 = cvtepi8_epi32(int_val0);
+      __m512i int32_val1 = cvtepi8_epi32(int_val1);
+      __m512i int32_val2 = cvtepi8_epi32(int_val2);
+      __m512i int32_val3 = cvtepi8_epi32(int_val3);
+
+      __m128i int_b0 = _mm_set_epi64x(b.vals[1], b.vals[0]);
+      __m128i int_b1 = _mm_set_epi64x(b.vals[3], b.vals[2]);
+      __m128i int_b2 = _mm_set_epi64x(b.vals[5], b.vals[4]);
+      __m128i int_b3 = _mm_set_epi64x(b.vals[7], b.vals[6]);
+
+      __m512i int32_b0 = cvtepi8_epi32(int_b0);
+      __m512i int32_b1 = cvtepi8_epi32(int_b1);
+      __m512i int32_b2 = cvtepi8_epi32(int_b2);
+      __m512i int32_b3 = cvtepi8_epi32(int_b3);
+
+      __m512i res_0 = _mm512_sub_epi32(int32_val0, int32_b0);
+      __m512i res_1 = _mm512_sub_epi32(int32_val1, int32_b1);
+      __m512i res_2 = _mm512_sub_epi32(int32_val2, int32_b2);
+      __m512i res_3 = _mm512_sub_epi32(int32_val3, int32_b3);
+
+      return {Vectorized<c10::qint32>(res_0),
+              Vectorized<c10::qint32>(res_1),
+              Vectorized<c10::qint32>(res_2),
+              Vectorized<c10::qint32>(res_3)};
+    }
+
+    static Vectorized<c10::qint8> requantize_from_int(
+        const int_vec_return_type& inp,
+        float multiplier,
+        int32_t zero_point) {
+      __m512 multiplier_v = _mm512_set1_ps(multiplier);
+      __m512i zero_point_v = _mm512_set1_epi32(zero_point);
+      return RequantizeAvx512<value_type>(inp, multiplier_v, zero_point_v);
+    }
+
+ private:
+    // Load from memory constructor
+    Vectorized(const void* ptr) {
+        vals = _mm512_loadu_si512((const __m512i*)ptr);
+    }
+};
+
+template <>
+Vectorized<c10::qint8> inline maximum(const Vectorized<c10::qint8>& a, const Vectorized<c10::qint8>& b) {
+  return a.maximum(b);
+}
+
+template<>
+struct Vectorized<c10::quint8> : public Vectorizedqi {
+    static constexpr int size() {
+        return 64;
+    }
+
+    static constexpr int float_num_vecs() {
+        return 4;
+    }
+
+    static constexpr int int_num_vecs() {
+        return 4;
+    }
+
+    using float_vec_return_type = std::array<Vectorized<float>, 4>;
+    using int_vec_return_type = std::array<Vectorized<c10::qint32>, 4>;
+    using value_type = typename c10::quint8::underlying;
+
+ public:
+    using Vectorizedqi::Vectorizedqi;
+    Vectorized() {}
+
+    Vectorized(__m512i vals_) { vals = vals_;}
+
+    // Broadcast constructor
+    Vectorized(const c10::quint8& val) {
+        value_type uw = val.val_;
+        vals = _mm512_set1_epi8(uw);
+    }
+
+    Vectorized(const Vectorized<c10::quint8>& other) : Vectorizedqi(other.vals) { }
+
+    // This is added to avoid error: definition of implicit copy assignment operator
+    // for 'Vectorized<c10::quint8>' is deprecated because it has a user-declared
+    // copy constructor [-Werror,-Wdeprecated-copy]
+    Vectorized& operator=(const Vectorized<c10::quint8>&) = default;
+
+    void store(void* ptr, int count = size()) const {
+        if (count != size()) {
+            memcpy(ptr, &vals, count * sizeof(value_type));
+        } else {
+            _mm512_storeu_si512((__m512i*)ptr, vals);
+        }
+    }
+
+    static Vectorized<c10::quint8> loadu(const void* ptr) {
+        return Vectorized<c10::quint8>(ptr);
+    }
+
+    static Vectorized<c10::quint8> loadu(const void* ptr, int64_t count) {
+        __at_align__ value_type tmp_values[size()];
+        // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+        // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+        // instructions while a loop would be compiled to one instruction.
+        for (const auto i : c10::irange(size())) {
+          tmp_values[i] = 0;
+        }
+        std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+        return loadu(tmp_values);
+    }
+
+ private:
+    __m512i cvtepu8_epi32(__m128i epu8_vals) const {
+        return _mm512_cvtepu8_epi32(epu8_vals);
+    }
+
+ public:
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point,
+      Vectorized<float> scale_zp_premul) const {
+    __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+    __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+    __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+    __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+    __m512 float_val0 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val0));
+    __m512 float_val1 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val1));
+    __m512 float_val2 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val2));
+    __m512 float_val3 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val3));
+
+    auto val0 =
+        vec::fmadd(scale, Vectorized<float>(float_val0), scale_zp_premul);
+    auto val1 =
+        vec::fmadd(scale, Vectorized<float>(float_val1), scale_zp_premul);
+    auto val2 =
+        vec::fmadd(scale, Vectorized<float>(float_val2), scale_zp_premul);
+    auto val3 =
+        vec::fmadd(scale, Vectorized<float>(float_val3), scale_zp_premul);
+
+    return {val0, val1, val2, val3};
+  }
+
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point) const {
+    __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+    __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+    __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+    __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+    __m512 float_val0 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val0));
+    __m512 float_val1 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val1));
+    __m512 float_val2 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val2));
+    __m512 float_val3 = _mm512_cvtepi32_ps(cvtepu8_epi32(int_val3));
+
+    auto val0 = (Vectorized<float>(float_val0) - zero_point) * scale;
+    auto val1 = (Vectorized<float>(float_val1) - zero_point) * scale;
+    auto val2 = (Vectorized<float>(float_val2) - zero_point) * scale;
+    auto val3 = (Vectorized<float>(float_val3) - zero_point) * scale;
+
+    return {val0, val1, val2, val3};
+  }
+
+  static Vectorized<c10::quint8> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    auto* rhs_data = (float*)rhs.data();
+    uint8_t quantized_values[64];
+    QuantizeAvx512<value_type>(
+        rhs_data, quantized_values, 64, inverse_scale, zero_point);
+    return Vectorized<c10::quint8>::loadu(quantized_values);
+  }
+
+  Vectorized<c10::quint8> maximum(Vectorized<c10::quint8> b) const {
+      return _mm512_max_epu8(vals, b.vals);
+    }
+
+  Vectorized<c10::quint8> minimum(Vectorized<c10::quint8> b) const {
+      return _mm512_min_epu8(vals, b.vals);
+    }
+
+    Vectorized<c10::quint8> relu(Vectorized<c10::quint8> zero_point) const {
+        return maximum(zero_point);
+    }
+
+    Vectorized<c10::quint8> relu6(
+        Vectorized<c10::quint8> zero_point,
+        Vectorized<c10::quint8> q_six) {
+      return _mm512_min_epu8(
+          _mm512_max_epu8(vals, zero_point.vals), q_six.vals);
+    }
+
+    int_vec_return_type widening_subtract(Vectorized<c10::quint8> b) const {
+      __m128i int_val0 = _mm_set_epi64x(vals[1], vals[0]);
+      __m128i int_val1 = _mm_set_epi64x(vals[3], vals[2]);
+      __m128i int_val2 = _mm_set_epi64x(vals[5], vals[4]);
+      __m128i int_val3 = _mm_set_epi64x(vals[7], vals[6]);
+
+      __m512i int32_val0 = cvtepu8_epi32(int_val0);
+      __m512i int32_val1 = cvtepu8_epi32(int_val1);
+      __m512i int32_val2 = cvtepu8_epi32(int_val2);
+      __m512i int32_val3 = cvtepu8_epi32(int_val3);
+
+      __m128i int_b0 = _mm_set_epi64x(b.vals[1], b.vals[0]);
+      __m128i int_b1 = _mm_set_epi64x(b.vals[3], b.vals[2]);
+      __m128i int_b2 = _mm_set_epi64x(b.vals[5], b.vals[4]);
+      __m128i int_b3 = _mm_set_epi64x(b.vals[7], b.vals[6]);
+
+      __m512i int32_b0 = cvtepu8_epi32(int_b0);
+      __m512i int32_b1 = cvtepu8_epi32(int_b1);
+      __m512i int32_b2 = cvtepu8_epi32(int_b2);
+      __m512i int32_b3 = cvtepu8_epi32(int_b3);
+
+      __m512i res_0 = _mm512_sub_epi32(int32_val0, int32_b0);
+      __m512i res_1 = _mm512_sub_epi32(int32_val1, int32_b1);
+      __m512i res_2 = _mm512_sub_epi32(int32_val2, int32_b2);
+      __m512i res_3 = _mm512_sub_epi32(int32_val3, int32_b3);
+      return {Vectorized<c10::qint32>(res_0),
+              Vectorized<c10::qint32>(res_1),
+              Vectorized<c10::qint32>(res_2),
+              Vectorized<c10::qint32>(res_3)};
+    }
+
+    static Vectorized<c10::quint8> requantize_from_int(
+        const int_vec_return_type& inp,
+        float multiplier,
+        int32_t zero_point) {
+      __m512 multiplier_v = _mm512_set1_ps(multiplier);
+      __m512i zero_point_v = _mm512_set1_epi32(zero_point);
+      return RequantizeAvx512<value_type>(inp, multiplier_v, zero_point_v);
+    }
+
+ private:
+
+    // Load from memory constructor
+    Vectorized(const void* ptr) {
+        vals = _mm512_loadu_si512((const __m512i*)ptr);
+    }
+};
+
+template <>
+Vectorized<c10::quint8> inline maximum(const Vectorized<c10::quint8>& a, const Vectorized<c10::quint8>& b) {
+  return a.maximum(b);
+}
+
+#else
+
+// NOTE: These are low-performance implementations that we fall back on.
+
+template <
+    typename T,
+    typename float_vec_return_type_,
+    typename int_vec_return_type_,
+    int size_>
+struct VectorizedQuantizedConverter {
+  static constexpr int size() {
+    return size_;
+  }
+
+  static constexpr int float_num_vecs() {
+    return size() / 8;
+  }
+
+  static constexpr int int_num_vecs() {
+    return size() / 8;
+  }
+
+  using float_vec_return_type = float_vec_return_type_;
+  using int_vec_return_type = int_vec_return_type_;
+
+  using value_type = typename T::underlying;
+  std::array<value_type, size_> vals;
+
+  VectorizedQuantizedConverter(T val) {
+    for (const auto i : c10::irange(size())) {
+      vals[i] = val.val_;
+    }
+  }
+
+  VectorizedQuantizedConverter(const void* ptr) {
+    memcpy(vals.data(), ptr, sizeof(value_type) * size());
+  }
+
+  void store(void* ptr, int count = size()) const {
+    memcpy(ptr, vals.data(), count * sizeof(value_type));
+  }
+
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point,
+      Vectorized<float> scale_zp_premul) const {
+    float_vec_return_type rv;
+    for (const auto i : c10::irange(float_num_vecs())) {
+      float tmp_vals[16];
+      for (const auto j : c10::irange(16)) {
+        tmp_vals[j] = at::native::dequantize_val<T>(
+            scale[j], zero_point[j], T(vals[16 * i + j]));
+      }
+      rv[i] = Vectorized<float>(tmp_vals[0],
+          tmp_vals[1],
+          tmp_vals[2],
+          tmp_vals[3],
+          tmp_vals[4],
+          tmp_vals[5],
+          tmp_vals[6],
+          tmp_vals[7],
+          tmp_vals[8],
+          tmp_vals[9],
+          tmp_vals[10],
+          tmp_vals[11],
+          tmp_vals[12],
+          tmp_vals[13],
+          tmp_vals[14],
+          tmp_vals[15]);
+    }
+    return rv;
+  }
+
+  float_vec_return_type dequantize(
+      Vectorized<float> scale,
+      Vectorized<float> zero_point) const {
+    Vectorized<float> scale_zp_premul;
+    return dequantize(scale, zero_point, scale_zp_premul);
+  }
+
+ protected:
+  VectorizedQuantizedConverter() {}
+};
+
+template <>
+struct Vectorized<c10::qint32> : public VectorizedQuantizedConverter<
+                                 c10::qint32,
+                                 std::array<Vectorized<float>, 1>,
+                                 std::array<Vectorized<c10::qint32>, 1>,
+                                 16> {
+  Vectorized()
+      : VectorizedQuantizedConverter<
+            c10::qint32,
+            std::array<Vectorized<float>, 1>,
+            std::array<Vectorized<c10::qint32>, 1>,
+            16>() {}
+  Vectorized(c10::qint32 val)
+      : VectorizedQuantizedConverter<
+            c10::qint32,
+            std::array<Vectorized<float>, 1>,
+            std::array<Vectorized<c10::qint32>, 1>,
+            16>(val) {}
+  Vectorized(const void* ptr)
+      : VectorizedQuantizedConverter<
+            c10::qint32,
+            std::array<Vectorized<float>, 1>,
+            std::array<Vectorized<c10::qint32>, 1>,
+            16>(ptr) {}
+
+  static Vectorized<c10::qint32> loadu(const void* ptr) {
+    return Vectorized<c10::qint32>(ptr);
+  }
+
+  static Vectorized<c10::qint32> loadu(const void* ptr, int64_t count) {
+    __at_align__ value_type tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+    return loadu(tmp_values);
+  }
+
+  static Vectorized<c10::qint32> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    std::array<value_type, size()> qvals;
+    std::array<float, float_num_vecs() * 16> float_vals;
+
+    for (const auto i : c10::irange(float_num_vecs())) {
+      rhs[i].store(&float_vals[i * 16], 16);
+    }
+
+    at::native::quantize_vec<c10::qint32, /*precision=*/32>(
+        scale,
+        zero_point,
+        float_vals.data(),
+        (c10::qint32*)qvals.data(),
+        16 * float_num_vecs());
+
+    return Vectorized<c10::qint32>::loadu(qvals.data());
+  }
+
+  Vectorized<c10::qint32> maximum(Vectorized<c10::qint32> b) const {
+    Vectorized<c10::qint32> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::max<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::qint32> minimum(Vectorized<c10::qint32> b) const {
+    Vectorized<c10::qint32> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::qint32> relu(Vectorized<c10::qint32> zero_point) const  {
+    return maximum(zero_point);
+  }
+
+
+  Vectorized<c10::qint32> relu6(
+      Vectorized<c10::qint32> zero_point,
+      Vectorized<c10::qint32> q_six) {
+    Vectorized<c10::qint32> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(
+          std::max<value_type>(vals[i], zero_point.vals[i]), q_six.vals[i]);
+    }
+    return retval;
+  }
+
+  int_vec_return_type widening_subtract(Vectorized<c10::qint32> b) const {
+    int_vec_return_type retval;
+    for (const auto i : c10::irange(size())) {
+      retval[0].vals[i] = vals[i] - b.vals[i];
+    }
+    return retval;
+  }
+
+  static Vectorized<c10::qint32> requantize_from_int(
+      const int_vec_return_type& inp,
+      float multiplier,
+      int32_t zero_point) {
+    Vectorized<c10::qint32> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] =
+          std::nearbyint(static_cast<float>(inp[0].vals[i]) * multiplier) +
+          zero_point;
+    }
+    return retval;
+  }
+};
+
+template <>
+Vectorized<c10::qint32> inline maximum(const Vectorized<c10::qint32>& a, const Vectorized<c10::qint32>& b) {
+  return a.maximum(b);
+}
+
+template <>
+Vectorized<c10::qint32> inline operator*(
+    const Vectorized<c10::qint32>& a,
+    const Vectorized<c10::qint32>& b) {
+  Vectorized<c10::qint32> retval;
+  for (const auto i : c10::irange(std::decay_t<decltype(a)>::size())) {
+    retval.vals[i] = a.vals[i] * b.vals[i];
+  }
+  return retval;
+}
+
+template <>
+Vectorized<c10::qint32> inline operator+(
+    const Vectorized<c10::qint32>& a,
+    const Vectorized<c10::qint32>& b) {
+  Vectorized<c10::qint32> retval;
+  for (const auto i : c10::irange(std::decay_t<decltype(a)>::size())) {
+    retval.vals[i] = a.vals[i] + b.vals[i];
+  }
+  return retval;
+}
+
+template <>
+struct Vectorized<c10::qint8> : public VectorizedQuantizedConverter<
+                                c10::qint8,
+                                std::array<Vectorized<float>, 4>,
+                                std::array<Vectorized<c10::qint32>, 4>,
+                                64> {
+  Vectorized()
+      : VectorizedQuantizedConverter<
+            c10::qint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>() {}
+  Vectorized(c10::qint8 val)
+      : VectorizedQuantizedConverter<
+            c10::qint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>(val) {}
+  Vectorized(const void* ptr)
+      : VectorizedQuantizedConverter<
+            c10::qint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>(ptr) {}
+
+  static Vectorized<c10::qint8> loadu(const void* ptr) {
+    return Vectorized<c10::qint8>(ptr);
+  }
+
+  static Vectorized<c10::qint8> loadu(const void* ptr, int64_t count) {
+    __at_align__ value_type tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+    return loadu(tmp_values);
+  }
+
+  static Vectorized<c10::qint8> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    std::array<value_type, size()> qvals;
+    std::array<float, float_num_vecs() * 16> float_vals;
+
+    for (const auto i : c10::irange(float_num_vecs())) {
+      rhs[i].store(&float_vals[i * 16], 16);
+    }
+
+    at::native::quantize_vec<c10::qint8>(
+        scale,
+        zero_point,
+        float_vals.data(),
+        (c10::qint8*)qvals.data(),
+        16 * float_num_vecs());
+
+    return Vectorized<c10::qint8>::loadu(qvals.data());
+  }
+
+  Vectorized<c10::qint8> maximum(Vectorized<c10::qint8> b) const {
+    Vectorized<c10::qint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::max<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::qint8> minimum(Vectorized<c10::qint8> b) const {
+    Vectorized<c10::qint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::qint8> relu(Vectorized<c10::qint8> zero_point) const {
+    return maximum(zero_point);
+  }
+
+  Vectorized<c10::qint8> relu6(
+      Vectorized<c10::qint8> zero_point,
+      Vectorized<c10::qint8> q_six) {
+    Vectorized<c10::qint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(
+          std::max<value_type>(vals[i], zero_point.vals[i]), q_six.vals[i]);
+    }
+    return retval;
+  }
+
+  int_vec_return_type widening_subtract(Vectorized<c10::qint8> b) const {
+    int_vec_return_type retval;
+    constexpr int elem_per_int_vec = size() / int_num_vecs();
+    for (const auto i : c10::irange(int_num_vecs())) {
+      for (const auto j : c10::irange(elem_per_int_vec)) {
+        retval[i].vals[j] =
+            static_cast<int32_t>(vals[i * elem_per_int_vec + j]) -
+            static_cast<int32_t>(b.vals[i * elem_per_int_vec + j]);
+      }
+    }
+    return retval;
+  }
+  static Vectorized<c10::qint8> requantize_from_int(
+      const int_vec_return_type& inp,
+      float multiplier,
+      int32_t zero_point) {
+    constexpr int elem_per_int_vec = size() / int_num_vecs();
+    constexpr auto min_val = std::numeric_limits<value_type>::min();
+    constexpr auto max_val = std::numeric_limits<value_type>::max();
+    Vectorized<c10::qint8> retval;
+    for (const auto i : c10::irange(int_num_vecs())) {
+      for (const auto j : c10::irange(elem_per_int_vec)) {
+        int32_t rounded =
+            std::nearbyint(static_cast<float>(inp[i].vals[j]) * multiplier) +
+            zero_point;
+        retval.vals[i * elem_per_int_vec + j] =
+            std::min<int32_t>(std::max<int32_t>(rounded, min_val), max_val);
+      }
+    }
+    return retval;
+  }
+};
+
+template <>
+Vectorized<c10::qint8> inline maximum(const Vectorized<c10::qint8>& a, const Vectorized<c10::qint8>& b) {
+  return a.maximum(b);
+}
+
+template <>
+struct Vectorized<c10::quint8> : public VectorizedQuantizedConverter<
+                                 c10::quint8,
+                                 std::array<Vectorized<float>, 4>,
+                                 std::array<Vectorized<c10::qint32>, 4>,
+                                 64> {
+  Vectorized()
+      : VectorizedQuantizedConverter<
+            c10::quint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>() {}
+  Vectorized(c10::quint8 val)
+      : VectorizedQuantizedConverter<
+            c10::quint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>(val) {}
+  Vectorized(const void* ptr)
+      : VectorizedQuantizedConverter<
+            c10::quint8,
+            std::array<Vectorized<float>, 4>,
+            std::array<Vectorized<c10::qint32>, 4>,
+            64>(ptr) {}
+
+  static Vectorized<c10::quint8> loadu(const void* ptr) {
+    return Vectorized<c10::quint8>(ptr);
+  }
+
+  static Vectorized<c10::quint8> loadu(const void* ptr, int64_t count) {
+    __at_align__ value_type tmp_values[size()];
+    // Ensure uninitialized memory does not change the output value See https://github.com/pytorch/pytorch/issues/32502
+    // for more details. We do not initialize arrays to zero using "={0}" because gcc would compile it to two
+    // instructions while a loop would be compiled to one instruction.
+    for (const auto i : c10::irange(size())) {
+      tmp_values[i] = 0;
+    }
+    std::memcpy(tmp_values, reinterpret_cast<const value_type*>(ptr), count * sizeof(value_type));
+    return loadu(tmp_values);
+  }
+
+  static Vectorized<c10::quint8> quantize(
+      const float_vec_return_type& rhs,
+      float scale,
+      int32_t zero_point,
+      float inverse_scale) {
+    std::array<value_type, size()> qvals;
+    std::array<float, float_num_vecs() * 16> float_vals;
+
+    for (const auto i : c10::irange(float_num_vecs())) {
+      rhs[i].store(&float_vals[i * 16], 16);
+    }
+
+    at::native::quantize_vec<c10::quint8>(
+        scale,
+        zero_point,
+        float_vals.data(),
+        (c10::quint8*)qvals.data(),
+        16 * float_num_vecs());
+
+    return Vectorized<c10::quint8>::loadu(qvals.data());
+  }
+
+  Vectorized<c10::quint8> maximum(Vectorized<c10::quint8> b) const {
+    Vectorized<c10::quint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::max<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::quint8> minimum(Vectorized<c10::quint8> b) const {
+    Vectorized<c10::quint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(vals[i], b.vals[i]);
+    }
+    return retval;
+  }
+
+  Vectorized<c10::quint8> relu(Vectorized<c10::quint8> zero_point) const {
+    return maximum(zero_point);
+  }
+
+
+  Vectorized<c10::quint8> relu6(
+      Vectorized<c10::quint8> zero_point,
+      Vectorized<c10::quint8> q_six) {
+    Vectorized<c10::quint8> retval;
+    for (const auto i : c10::irange(size())) {
+      retval.vals[i] = std::min<value_type>(
+          std::max<value_type>(vals[i], zero_point.vals[i]), q_six.vals[i]);
+    }
+    return retval;
+  }
+
+  int_vec_return_type widening_subtract(Vectorized<c10::quint8> b) const {
+    int_vec_return_type retval;
+    constexpr int elem_per_int_vec = size() / int_num_vecs();
+    for (const auto i : c10::irange(int_num_vecs())) {
+      for (const auto j : c10::irange(elem_per_int_vec)) {
+        retval[i].vals[j] =
+            static_cast<int32_t>(vals[i * elem_per_int_vec + j]) -
+            static_cast<int32_t>(b.vals[i * elem_per_int_vec + j]);
+      }
+    }
+    return retval;
+  }
+  static Vectorized<c10::quint8> requantize_from_int(
+      const int_vec_return_type& inp,
+      float multiplier,
+      int32_t zero_point) {
+    constexpr int elem_per_int_vec = size() / int_num_vecs();
+    constexpr auto min_val = std::numeric_limits<value_type>::min();
+    constexpr auto max_val = std::numeric_limits<value_type>::max();
+    Vectorized<c10::quint8> retval;
+    for (const auto i : c10::irange(int_num_vecs())) {
+      for (const auto j : c10::irange(elem_per_int_vec)) {
+        int32_t rounded =
+            std::nearbyint(static_cast<float>(inp[i].vals[j]) * multiplier) +
+            zero_point;
+        retval.vals[i * elem_per_int_vec + j] =
+            std::min<int32_t>(std::max<int32_t>(rounded, min_val), max_val);
+      }
+    }
+    return retval;
+  }
+};
+
+template <>
+Vectorized<c10::quint8> inline maximum(const Vectorized<c10::quint8>& a, const Vectorized<c10::quint8>& b) {
+  return a.maximum(b);
+}
+
+#endif // defined(CPU_CAPABILITY_AVX512) && !defined(MSVC)
+
+}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/cpu/vml.h

@@ -0,0 +1,171 @@
+#pragma once
+
+#include <ATen/Config.h>
+#include <ATen/Parallel.h>
+#include <ATen/OpMathType.h>
+#include <ATen/cpu/vec/functional.h>
+#include <ATen/cpu/vec/vec.h>
+#include <c10/util/complex.h>
+
+// This header implements various unary operations using a MKL VML style
+// interface.
+
+// It implements various functions with a simple interface
+// For example it enables the user to call vsin(float* out, const float* in,
+// size) This functions takes a pointer to a continuous output array of floats and
+// a constant input array. It will then apply sin to each value in the input
+// array and write the result into the output array. out and in may point to the
+// same memory, i.e. this fully supports in-place operations. These functions
+// also implement their own parallelization, so take precautions when calling
+// these from threaded functions.
+
+// When MKL is available it will call into MKL's VML library similar to NumPy
+// If MKL is not available it will use SLEEF.
+
+// This file might be compiled under AVX or AVX2 when called from e.g.
+// UnaryOpsKernel.cpp
+
+#include <algorithm>
+#include <cstddef>
+#include <cstdint>
+#include <cstring>
+#include <type_traits>
+
+#if AT_MKL_ENABLED() && !defined(__APPLE__)
+#include <mkl.h>
+#endif
+
+namespace at {
+namespace vml {
+inline namespace CPU_CAPABILITY {
+
+using namespace vec;
+
+template <typename scalar_t>
+inline void vrsqrt(scalar_t* out, scalar_t* in, int64_t size) {
+  parallel_for(0, size, 2048, [out, in](int64_t begin, int64_t end) {
+    map(
+        [](const Vectorized<scalar_t>& x) {
+          return Vectorized<scalar_t>((scalar_t)(1)) / x.sqrt();
+        },
+        out + begin,
+        in + begin,
+        end - begin);
+  });
+}
+
+// NB: We ignore numerical errors by convention and leave them to the user
+
+#define IMPLEMENT_VML(op)                                               \
+  template <typename scalar_t>                                          \
+  inline void v##op(scalar_t* out, const scalar_t* in, int64_t size) {  \
+    using vec_t = Vectorized<vec_scalar_t<scalar_t>>;                   \
+    vec::map([](vec_t x) { return x.op(); }, out, in, size);            \
+  }                                                                     \
+
+IMPLEMENT_VML(abs)
+IMPLEMENT_VML(acos)
+IMPLEMENT_VML(asin)
+IMPLEMENT_VML(atan)
+IMPLEMENT_VML(atanh)
+IMPLEMENT_VML(ceil)
+IMPLEMENT_VML(cos)
+// IMPLEMENT_VML(cosh)
+IMPLEMENT_VML(erf)
+IMPLEMENT_VML(erfc)
+IMPLEMENT_VML(erfinv)
+IMPLEMENT_VML(exp)
+IMPLEMENT_VML(expm1)
+IMPLEMENT_VML(floor)
+IMPLEMENT_VML(i0)
+IMPLEMENT_VML(i0e)
+IMPLEMENT_VML(digamma)
+IMPLEMENT_VML(reciprocal)
+IMPLEMENT_VML(log)
+IMPLEMENT_VML(log10)
+IMPLEMENT_VML(log1p)
+IMPLEMENT_VML(log2)
+IMPLEMENT_VML(neg)
+IMPLEMENT_VML(sin)
+// IMPLEMENT_VML(sinh)
+IMPLEMENT_VML(sqrt)
+IMPLEMENT_VML(round)
+IMPLEMENT_VML(rsqrt)
+IMPLEMENT_VML(tan)
+IMPLEMENT_VML(tanh)
+IMPLEMENT_VML(trunc)
+IMPLEMENT_VML(lgamma)
+
+
+#if AT_MKL_ENABLED() && !defined(__APPLE__)
+
+// NB: LP64 MKL is the most commonly used and thus we assume it here. That means
+// we need to expect MKL_INT to be of type int, which implies int32_t in most
+// cases.
+static_assert(
+    std::is_same<MKL_INT, int32_t>::value,
+    "MKL_INT is assumed to be int32_t");
+#define IMPLEMENT_VML_MKL_STUB(op, mklop, type, mkltype)                \
+  template <>                                                           \
+  inline void v##op(type * out, const type * in, int64_t size) {        \
+    int64_t max_mkl_ind = std::numeric_limits<MKL_INT>::max();          \
+    if (size <= static_cast<int64_t>(max_mkl_ind)) {                    \
+      vm##mkltype##mklop(                                               \
+          size, in, out, VML_HA | VML_FTZDAZ_OFF | VML_ERRMODE_IGNORE); \
+    } else {                                                            \
+      MKL_INT ind = 0;                                                  \
+      int64_t chunks = size / max_mkl_ind;                              \
+      int64_t rest = size % max_mkl_ind;                                \
+      for (; ind < chunks; ind++) {                                     \
+        vm##mkltype##mklop(                                             \
+            max_mkl_ind,                                                \
+            in + ind * max_mkl_ind,                                     \
+            out + ind * max_mkl_ind,                                    \
+            VML_HA | VML_FTZDAZ_OFF | VML_ERRMODE_IGNORE);              \
+      }                                                                 \
+      vm##mkltype##mklop(                                               \
+          rest,                                                         \
+          in + ind * max_mkl_ind,                                       \
+          out + ind * max_mkl_ind,                                      \
+          VML_HA | VML_FTZDAZ_OFF | VML_ERRMODE_IGNORE);                \
+    }                                                                   \
+  }
+
+#define IMPLEMENT_VML_MKL(op, mklop)          \
+  IMPLEMENT_VML_MKL_STUB(op, mklop, float, s) \
+  IMPLEMENT_VML_MKL_STUB(op, mklop, double, d)
+
+// NB: abs, cosh and sinh were temporarily disabled due to issues with Apple
+// NB: expm1 is disabled because on some configs it produces expm1(nan)=-1
+IMPLEMENT_VML_MKL(acos, Acos)
+IMPLEMENT_VML_MKL(asin, Asin)
+IMPLEMENT_VML_MKL(atan, Atan)
+IMPLEMENT_VML_MKL(cos, Cos)
+// IMPLEMENT_VML_MKL(cosh, Cosh)
+IMPLEMENT_VML_MKL(erf, Erf)
+IMPLEMENT_VML_MKL(erfc, Erfc)
+IMPLEMENT_VML_MKL(erfinv, ErfInv)
+IMPLEMENT_VML_MKL(exp, Exp)
+// IMPLEMENT_VML_MKL(expm1, Expm1)
+IMPLEMENT_VML_MKL(log, Ln)
+IMPLEMENT_VML_MKL(log10, Log10)
+IMPLEMENT_VML_MKL(sin, Sin)
+// IMPLEMENT_VML_MKL(sinh, Sinh)
+IMPLEMENT_VML_MKL(sqrt, Sqrt)
+IMPLEMENT_VML_MKL(tan, Tan)
+IMPLEMENT_VML_MKL(tanh, Tanh)
+IMPLEMENT_VML_MKL(trunc, Trunc)
+
+// Not vectorized in MKL version tested
+// IMPLEMENT_VML_MKL(abs, Abs)
+// IMPLEMENT_VML_MKL(log1p, Log1p)
+
+#if INTEL_MKL_VERSION >= 20180406
+IMPLEMENT_VML_MKL(log2, Log2)
+#endif
+
+#endif
+
+} // namespace
+} // namespace vml
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/hip/impl/HIPAllocatorMasqueradingAsCUDA.h

@@ -0,0 +1,28 @@
+#pragma once
+
+#include <c10/core/Allocator.h>
+#include <c10/core/DeviceType.h>
+
+// Use of c10::hip namespace here makes hipification easier, because
+// I don't have to also fix namespaces.  Sorry!
+namespace c10 { namespace hip {
+
+// Takes a valid HIPAllocator (of any sort) and turns it into
+// an allocator pretending to be a CUDA allocator.  See
+// Note [Masquerading as CUDA]
+class HIPAllocatorMasqueradingAsCUDA final : public Allocator {
+  Allocator* allocator_;
+public:
+  explicit HIPAllocatorMasqueradingAsCUDA(Allocator* allocator)
+    : allocator_(allocator) {}
+  DataPtr allocate(size_t size) const override {
+    DataPtr r = allocator_->allocate(size);
+    r.unsafe_set_device(Device(c10::DeviceType::CUDA, r.device().index()));
+    return r;
+  }
+  DeleterFnPtr raw_deleter() const override {
+    return allocator_->raw_deleter();
+  }
+};
+
+}} // namespace c10::hip

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/hip/impl/HIPCachingAllocatorMasqueradingAsCUDA.h

@@ -0,0 +1,18 @@
+#pragma once
+
+#include <c10/hip/HIPCachingAllocator.h>
+#include <ATen/hip/impl/HIPAllocatorMasqueradingAsCUDA.h>
+#include <ATen/hip/impl/HIPStreamMasqueradingAsCUDA.h>
+
+namespace c10 {
+// forward declaration
+class DataPtr;
+namespace hip {
+namespace HIPCachingAllocatorMasqueradingAsCUDA {
+
+C10_HIP_API Allocator* get();
+C10_HIP_API void recordStreamMasqueradingAsCUDA(const DataPtr& ptr, HIPStreamMasqueradingAsCUDA stream);
+
+} // namespace HIPCachingAllocatorMasqueradingAsCUDA
+} // namespace hip
+} // namespace c10

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/hip/impl/HIPGuardImplMasqueradingAsCUDA.h

@@ -0,0 +1,353 @@
+#pragma once
+
+#include <ATen/hip/HIPConfig.h>
+
+// The includes of HIPGuard.h
+#include <c10/hip/impl/HIPGuardImpl.h>
+#include <c10/hip/HIPMacros.h>
+#include <c10/core/DeviceType.h>
+#include <c10/core/impl/InlineDeviceGuard.h>
+#include <c10/core/impl/InlineStreamGuard.h>
+#include <c10/util/Exception.h>
+
+#include <c10/hip/impl/HIPGuardImpl.h>
+
+#include <ATen/hip/impl/HIPCachingAllocatorMasqueradingAsCUDA.h>
+#include <ATen/hip/impl/HIPStreamMasqueradingAsCUDA.h>
+
+// Use of c10::hip namespace here makes hipification easier, because
+// I don't have to also fix namespaces.  Sorry!
+namespace c10 { namespace hip {
+
+// Note [Masquerading as CUDA]
+// ~~~~~~~~~~~~~~~~~~~~~~~~~~~
+// c10_hip is very easy to understand: it is HIPified from c10_cuda,
+// and anywhere you said CUDA, the source code now says HIP.  HIPified
+// PyTorch is much harder to understand: it is HIPified from regular
+// PyTorch, yes, but NO source-to-source translation from CUDA to
+// HIP occurs; instead, anywhere we see "CUDA", it actually means "HIP".
+// For example, when you use HIPified PyTorch, you say x.cuda() to
+// move a tensor onto ROCm device.  We call this situation "HIP
+// masquerading as CUDA".
+//
+// This leads to a very awkward situation when we want to call c10_hip
+// code from PyTorch, since c10_hip is expecting things to be called
+// HIP, but PyTorch is calling them CUDA (masquerading as HIP).  To
+// fix this impedance mismatch, we have MasqueradingAsCUDA variants
+// for all c10_hip classes.  These translate between the "HIP" and "CUDA
+// masquerading as HIP" worlds.  For example,
+// HIPGuardImplMasqueradingAsCUDA (this file) provides something like a
+// HIPGuardImpl, but it reports its DeviceType as CUDA (e.g., type()
+// returns CUDA, getDevice() reports the current HIP device as a CUDA
+// device.)
+//
+// We should be able to delete all of these classes entirely once
+// we switch PyTorch to calling a HIP a HIP.
+//
+// When you add a new MasqueradingAsCUDA class/function, you need to
+// also update the rewrite rules in torch/utils/hipify/cuda_to_hip_mappings.py
+//
+//
+//
+// By the way, note that the cpp file associated with this also
+// *overwrites* the entry in the DeviceGuardImpl registry for CUDA with
+// this HIP implementation.
+
+struct HIPGuardImplMasqueradingAsCUDA final : public c10::impl::DeviceGuardImplInterface {
+  static constexpr c10::DeviceType static_type = c10::DeviceType::CUDA;
+  HIPGuardImplMasqueradingAsCUDA() {}
+  HIPGuardImplMasqueradingAsCUDA(c10::DeviceType t) {
+    TORCH_INTERNAL_ASSERT(t == c10::DeviceType::CUDA);
+  }
+  c10::DeviceType type() const override {
+    return c10::DeviceType::CUDA;
+  }
+  Device exchangeDevice(Device d) const override {
+    TORCH_INTERNAL_ASSERT(d.is_cuda());
+    Device old_device = getDevice();
+    if (old_device.index() != d.index()) {
+      C10_HIP_CHECK(hipSetDevice(d.index()));
+    }
+    return old_device;
+  }
+  Device getDevice() const override {
+    int device;
+    C10_HIP_CHECK(hipGetDevice(&device));
+    return Device(c10::DeviceType::CUDA, device);
+  }
+  void setDevice(Device d) const override {
+    TORCH_INTERNAL_ASSERT(d.is_cuda());
+    C10_HIP_CHECK(hipSetDevice(d.index()));
+  }
+  void uncheckedSetDevice(Device d) const noexcept override {
+    C10_HIP_CHECK_WARN(hipSetDevice(d.index()));
+  }
+  Stream getStream(Device d) const noexcept override {
+    return getCurrentHIPStreamMasqueradingAsCUDA(d.index()).unwrap();
+  }
+  Stream getDefaultStream(Device d) const override {
+    return getDefaultHIPStreamMasqueradingAsCUDA(d.index());
+  }
+  Stream getStreamFromGlobalPool(Device d, bool isHighPriority = false) const override {
+    return getStreamFromPoolMasqueradingAsCUDA(isHighPriority, d.index());
+  }
+  Stream exchangeStream(Stream s) const noexcept override {
+    HIPStreamMasqueradingAsCUDA cs(s);
+    auto old_stream = getCurrentHIPStreamMasqueradingAsCUDA(s.device().index());
+    setCurrentHIPStreamMasqueradingAsCUDA(cs);
+    return old_stream.unwrap();
+  }
+  DeviceIndex deviceCount() const noexcept override {
+    int deviceCnt;
+    hipError_t _err;
+    _err = hipGetDeviceCount(&deviceCnt);
+#if defined(USE_ROCM) && (ROCM_VERSION < 50201)
+    if(_err == hipErrorInvalidDevice)
+        return 0;
+#endif
+    if(_err != hipErrorNoDevice && _err != hipSuccess)
+        C10_HIP_CHECK(_err);
+    return deviceCnt;
+  }
+
+  // Event-related functions
+  // Note: hipEventCreateWithFlags should be called on the same device as
+  //  the recording stream's device.
+  void createEvent(
+    hipEvent_t* hip_event,
+    const EventFlag flag) const {
+    // Maps PyTorch's Event::Flag to HIP flag
+    auto hip_flag = hipEventDefault;
+    switch (flag) {
+      case EventFlag::PYTORCH_DEFAULT:
+      case EventFlag::HIP_EVENT_DISABLE_TIMING:
+        hip_flag = hipEventDisableTiming;
+        break;
+      case EventFlag::BACKEND_DEFAULT:
+      case EventFlag::HIP_EVENT_DEFAULT:
+        hip_flag = hipEventDefault;
+        break;
+      default:
+        TORCH_CHECK(false, "HIP event received unknown flag");
+    }
+
+    C10_HIP_CHECK(hipEventCreateWithFlags(hip_event, hip_flag));
+  }
+
+  void destroyEvent(
+    void* event,
+    const DeviceIndex device_index) const noexcept override {
+    if (!event) return;
+    auto hip_event = static_cast<hipEvent_t>(event);
+    int orig_device;
+    C10_HIP_CHECK_WARN(hipGetDevice(&orig_device));
+    C10_HIP_CHECK_WARN(hipSetDevice(device_index));
+    C10_HIP_CHECK_WARN(hipEventDestroy(hip_event));
+    C10_HIP_CHECK_WARN(hipSetDevice(orig_device));
+  }
+
+  void record(void** event,
+    const Stream& stream,
+    const DeviceIndex device_index,
+    const EventFlag flag) const override {
+    TORCH_CHECK(device_index == -1 || device_index == stream.device_index(),
+      "Event device index ",
+      device_index,
+      " does not match recording stream's device index ",
+      stream.device_index(),
+      ".");
+
+    hipEvent_t hip_event = static_cast<hipEvent_t>(*event);
+    HIPStreamMasqueradingAsCUDA hip_stream{stream};
+
+    // Moves to stream's device to record
+    const auto orig_device = getDevice();
+    setDevice(stream.device());
+
+    // Creates the event (lazily)
+    if (!hip_event) createEvent(&hip_event, flag);
+    C10_HIP_CHECK(hipEventRecord(hip_event, hip_stream));
+    // Makes the void* point to the (possibly just allocated) HIP event
+    *event = hip_event;
+
+    // Resets device
+    setDevice(orig_device);
+  }
+
+  void block(
+    void* event,
+    const Stream& stream) const override {
+    if (!event) return;
+    hipEvent_t hip_event = static_cast<hipEvent_t>(event);
+    HIPStreamMasqueradingAsCUDA hip_stream{stream};
+    const auto orig_device = getDevice();
+    setDevice(stream.device());
+    C10_HIP_CHECK(hipStreamWaitEvent(
+      hip_stream,
+      hip_event,
+      /*flags (must be zero)=*/ 0));
+    setDevice(orig_device);
+  }
+
+  bool queryEvent(void* event) const override {
+    if (!event) return true;
+    hipEvent_t hip_event = static_cast<hipEvent_t>(event);
+    const hipError_t err = hipEventQuery(hip_event);
+    if (err != hipErrorNotReady) C10_HIP_CHECK(err);
+    else {
+      // ignore and clear the error if not ready
+      (void)hipGetLastError();
+    }
+    return (err == hipSuccess);
+  }
+
+  // Stream-related functions
+  bool queryStream(const Stream& stream) const override {
+    HIPStreamMasqueradingAsCUDA hip_stream{stream};
+    return hip_stream.query();
+  }
+
+  void synchronizeStream(const Stream& stream) const override {
+    HIPStreamMasqueradingAsCUDA hip_stream{stream};
+    hip_stream.synchronize();
+  }
+
+  void recordDataPtrOnStream(
+    const c10::DataPtr& data_ptr,
+    const Stream& stream) const override {
+    HIPStreamMasqueradingAsCUDA hip_stream{stream};
+    HIPCachingAllocatorMasqueradingAsCUDA::recordStreamMasqueradingAsCUDA(data_ptr, hip_stream);
+  }
+};
+
+// All of the guards which have HIPGuardImpl burned in need to also have
+// variants using HIPGuardImplMasqueradingAsCUDA.
+
+/// This code is all a direct copy from c10/cuda/HIPGuardMasqueradingAsCUDA.h, but with
+/// the correct InlineDeviceGuard burned in.  Sorry about the
+/// copy-pasting.
+
+struct HIPGuardMasqueradingAsCUDA {
+  explicit HIPGuardMasqueradingAsCUDA() = delete;
+  explicit HIPGuardMasqueradingAsCUDA(DeviceIndex device_index) : guard_(device_index) {}
+  explicit HIPGuardMasqueradingAsCUDA(Device device) : guard_(device) {}
+
+  HIPGuardMasqueradingAsCUDA(const HIPGuardMasqueradingAsCUDA&) = delete;
+  HIPGuardMasqueradingAsCUDA& operator=(const HIPGuardMasqueradingAsCUDA&) = delete;
+  HIPGuardMasqueradingAsCUDA(HIPGuardMasqueradingAsCUDA&& other) = delete;
+  HIPGuardMasqueradingAsCUDA& operator=(HIPGuardMasqueradingAsCUDA&& other) = delete;
+
+  void set_device(Device device) { guard_.set_device(device); }
+  void reset_device(Device device) { guard_.reset_device(device); }
+  void set_index(DeviceIndex device_index) { guard_.set_index(device_index); }
+  Device original_device() const { return guard_.original_device(); }
+  Device current_device() const { return guard_.current_device(); }
+
+ private:
+  c10::impl::InlineDeviceGuard<HIPGuardImplMasqueradingAsCUDA> guard_;
+};
+
+struct OptionalHIPGuardMasqueradingAsCUDA {
+  explicit OptionalHIPGuardMasqueradingAsCUDA() : guard_() {}
+  explicit OptionalHIPGuardMasqueradingAsCUDA(optional<Device> device_opt) : guard_(device_opt) {}
+  explicit OptionalHIPGuardMasqueradingAsCUDA(optional<DeviceIndex> device_index_opt) : guard_(device_index_opt) {}
+
+  OptionalHIPGuardMasqueradingAsCUDA(const OptionalHIPGuardMasqueradingAsCUDA&) = delete;
+  OptionalHIPGuardMasqueradingAsCUDA& operator=(const OptionalHIPGuardMasqueradingAsCUDA&) = delete;
+  OptionalHIPGuardMasqueradingAsCUDA(OptionalHIPGuardMasqueradingAsCUDA&& other) = delete;
+  OptionalHIPGuardMasqueradingAsCUDA& operator=(OptionalHIPGuardMasqueradingAsCUDA&& other) = delete;
+
+  void set_device(Device device) { guard_.set_device(device); }
+  void reset_device(Device device) { guard_.reset_device(device); }
+  void set_index(DeviceIndex device_index) { guard_.set_index(device_index); }
+  optional<Device> original_device() const { return guard_.original_device(); }
+  optional<Device> current_device() const { return guard_.current_device(); }
+  void reset() { guard_.reset(); }
+
+private:
+  c10::impl::InlineOptionalDeviceGuard<HIPGuardImplMasqueradingAsCUDA> guard_;
+};
+
+struct HIPStreamGuardMasqueradingAsCUDA {
+  explicit HIPStreamGuardMasqueradingAsCUDA() = delete;
+  explicit HIPStreamGuardMasqueradingAsCUDA(Stream stream) : guard_(stream) {}
+  HIPStreamGuardMasqueradingAsCUDA(const HIPStreamGuardMasqueradingAsCUDA&) = delete;
+  HIPStreamGuardMasqueradingAsCUDA& operator=(const HIPStreamGuardMasqueradingAsCUDA&) = delete;
+  HIPStreamGuardMasqueradingAsCUDA(HIPStreamGuardMasqueradingAsCUDA&& other) = delete;
+  HIPStreamGuardMasqueradingAsCUDA& operator=(HIPStreamGuardMasqueradingAsCUDA&& other) = delete;
+
+  void reset_stream(Stream stream) { guard_.reset_stream(stream); }
+
+  HIPStreamMasqueradingAsCUDA original_stream() const {
+    return HIPStreamMasqueradingAsCUDA(HIPStreamMasqueradingAsCUDA::UNCHECKED, guard_.original_stream());
+  }
+  HIPStreamMasqueradingAsCUDA current_stream() const {
+    return HIPStreamMasqueradingAsCUDA(HIPStreamMasqueradingAsCUDA::UNCHECKED, guard_.current_stream());
+  }
+
+  Device current_device() const { return guard_.current_device(); }
+  Device original_device() const { return guard_.original_device(); }
+
+private:
+  c10::impl::InlineStreamGuard<HIPGuardImplMasqueradingAsCUDA> guard_;
+};
+
+struct OptionalHIPStreamGuardMasqueradingAsCUDA {
+  explicit OptionalHIPStreamGuardMasqueradingAsCUDA() : guard_() {}
+  explicit OptionalHIPStreamGuardMasqueradingAsCUDA(Stream stream) : guard_(stream) {}
+  explicit OptionalHIPStreamGuardMasqueradingAsCUDA(optional<Stream> stream_opt) : guard_(stream_opt) {}
+
+  OptionalHIPStreamGuardMasqueradingAsCUDA(const OptionalHIPStreamGuardMasqueradingAsCUDA&) = delete;
+  OptionalHIPStreamGuardMasqueradingAsCUDA& operator=(const OptionalHIPStreamGuardMasqueradingAsCUDA&) = delete;
+  OptionalHIPStreamGuardMasqueradingAsCUDA(OptionalHIPStreamGuardMasqueradingAsCUDA&& other) = delete;
+  OptionalHIPStreamGuardMasqueradingAsCUDA& operator=(OptionalHIPStreamGuardMasqueradingAsCUDA&& other) = delete;
+
+  void reset_stream(Stream stream) { guard_.reset_stream(stream); }
+
+  optional<HIPStreamMasqueradingAsCUDA> original_stream() const {
+    auto r = guard_.original_stream();
+    if (r.has_value()) {
+      return make_optional(HIPStreamMasqueradingAsCUDA(HIPStreamMasqueradingAsCUDA::UNCHECKED, r.value()));
+    } else {
+      return nullopt;
+    }
+  }
+
+  optional<HIPStreamMasqueradingAsCUDA> current_stream() const {
+    auto r = guard_.current_stream();
+    if (r.has_value()) {
+      return make_optional(HIPStreamMasqueradingAsCUDA(HIPStreamMasqueradingAsCUDA::UNCHECKED, r.value()));
+    } else {
+      return nullopt;
+    }
+  }
+
+  void reset() { guard_.reset(); }
+
+private:
+  c10::impl::InlineOptionalStreamGuard<HIPGuardImplMasqueradingAsCUDA> guard_;
+};
+
+struct HIPMultiStreamGuardMasqueradingAsCUDA {
+  explicit HIPMultiStreamGuardMasqueradingAsCUDA(ArrayRef<HIPStreamMasqueradingAsCUDA> streams)
+    : guard_(unwrapStreams(streams)) {}
+
+  HIPMultiStreamGuardMasqueradingAsCUDA(const HIPMultiStreamGuardMasqueradingAsCUDA&) = delete;
+  HIPMultiStreamGuardMasqueradingAsCUDA& operator=(const HIPMultiStreamGuardMasqueradingAsCUDA&) = delete;
+  HIPMultiStreamGuardMasqueradingAsCUDA(HIPMultiStreamGuardMasqueradingAsCUDA&& other) = delete;
+  HIPMultiStreamGuardMasqueradingAsCUDA& operator=(HIPMultiStreamGuardMasqueradingAsCUDA&& other) = delete;
+
+private:
+  c10::impl::InlineMultiStreamGuard<HIPGuardImplMasqueradingAsCUDA> guard_;
+
+  static std::vector<Stream> unwrapStreams(ArrayRef<HIPStreamMasqueradingAsCUDA> hipStreams) {
+    std::vector<Stream> streams;
+    streams.reserve(hipStreams.size());
+    for (const HIPStreamMasqueradingAsCUDA& hipStream : hipStreams) {
+      streams.push_back(hipStream);
+    }
+    return streams;
+  }
+};
+
+}} // namespace c10::hip

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/hip/impl/HIPStreamMasqueradingAsCUDA.h

@@ -0,0 +1,130 @@
+#pragma once
+
+#include <c10/hip/HIPStream.h>
+
+// Use of c10::hip namespace here makes hipification easier, because
+// I don't have to also fix namespaces.  Sorry!
+namespace c10 { namespace hip {
+
+// See Note [Masquerading as CUDA] for motivation
+
+class HIPStreamMasqueradingAsCUDA {
+public:
+
+  enum Unchecked { UNCHECKED };
+
+  explicit HIPStreamMasqueradingAsCUDA(Stream stream)
+    : HIPStreamMasqueradingAsCUDA(UNCHECKED, stream) {
+    // We did the coercion unchecked; check that it was right.
+    TORCH_CHECK(stream.device().is_cuda() /* !!! */);
+  }
+
+  explicit HIPStreamMasqueradingAsCUDA(Unchecked, Stream stream)
+    // Unsafely coerce the "CUDA" stream into a HIP stream
+    : stream_(
+        HIPStream(
+          Stream(
+            Stream::UNSAFE,
+            Device(c10::DeviceType::HIP, stream.device_index()),
+            stream.id())
+        )
+      ) {}
+
+  // New constructor, just for this.  Does NOT coerce.
+  explicit HIPStreamMasqueradingAsCUDA(HIPStream stream) : stream_(stream) {}
+
+  bool operator==(const HIPStreamMasqueradingAsCUDA& other) const noexcept {
+    return stream_ == other.stream_;
+  }
+
+  bool operator!=(const HIPStreamMasqueradingAsCUDA& other) const noexcept {
+    return stream_ != other.stream_;
+  }
+
+  operator hipStream_t() const { return stream_.stream(); }
+
+  operator Stream() const {
+    // Unsafely coerce HIP stream into a "CUDA" stream
+    return Stream(Stream::UNSAFE, device(), id());
+  }
+
+  DeviceIndex device_index() const { return stream_.device_index(); }
+
+  // Unsafely coerce HIP device into CUDA device
+  c10::DeviceType device_type() const { return c10::DeviceType::CUDA; }
+
+  Device device() const {
+    // Unsafely coerce HIP device into CUDA device
+    return Device(c10::DeviceType::CUDA, stream_.device_index());
+  }
+
+  StreamId id() const        { return stream_.id(); }
+  bool query() const         { return stream_.query(); }
+  void synchronize() const   { stream_.synchronize(); }
+  int priority() const       { return stream_.priority(); }
+  hipStream_t stream() const { return stream_.stream(); }
+
+  Stream unwrap() const {
+    // Unsafely coerce HIP stream into "CUDA" stream
+    return Stream(Stream::UNSAFE, device(), id());
+  }
+
+  c10::StreamData3 pack3() const noexcept {
+    // Unsafely coerce HIP stream into "CUDA" stream before packing
+    return unwrap().pack3();
+  }
+
+  static HIPStreamMasqueradingAsCUDA unpack3(StreamId stream_id,
+                                             DeviceIndex device_index,
+                                             c10::DeviceType device_type) {
+    // NB: constructor manages CUDA->HIP translation for us
+    return HIPStreamMasqueradingAsCUDA(Stream::unpack3(
+        stream_id, device_index, device_type));
+  }
+
+  static std::tuple<int, int> priority_range() { return HIPStream::priority_range(); }
+
+  // New method, gets the underlying HIPStream
+  HIPStream hip_stream() const { return stream_; }
+
+private:
+  HIPStream stream_;
+};
+
+HIPStreamMasqueradingAsCUDA
+inline getStreamFromPoolMasqueradingAsCUDA(const bool isHighPriority = false, DeviceIndex device = -1) {
+  return HIPStreamMasqueradingAsCUDA(getStreamFromPool(isHighPriority, device));
+}
+
+HIPStreamMasqueradingAsCUDA
+inline getStreamFromExternalMasqueradingAsCUDA(hipStream_t ext_stream, DeviceIndex device) {
+  return HIPStreamMasqueradingAsCUDA(getStreamFromExternal(ext_stream, device));
+}
+
+inline HIPStreamMasqueradingAsCUDA getDefaultHIPStreamMasqueradingAsCUDA(DeviceIndex device_index = -1) {
+  return HIPStreamMasqueradingAsCUDA(getDefaultHIPStream(device_index));
+}
+
+inline HIPStreamMasqueradingAsCUDA getCurrentHIPStreamMasqueradingAsCUDA(DeviceIndex device_index = -1) {
+  return HIPStreamMasqueradingAsCUDA(getCurrentHIPStream(device_index));
+}
+
+inline void setCurrentHIPStreamMasqueradingAsCUDA(HIPStreamMasqueradingAsCUDA stream) {
+  setCurrentHIPStream(stream.hip_stream());
+}
+
+inline std::ostream& operator<<(std::ostream& stream, const HIPStreamMasqueradingAsCUDA& s) {
+  stream << s.hip_stream() << " (masquerading as CUDA)";
+  return stream;
+}
+
+}} // namespace c10::hip
+
+namespace std {
+  template <>
+  struct hash<c10::hip::HIPStreamMasqueradingAsCUDA> {
+    size_t operator()(c10::hip::HIPStreamMasqueradingAsCUDA s) const noexcept {
+      return std::hash<c10::Stream>{}(s.unwrap());
+    }
+  };
+} // namespace std

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/Descriptors.h

@@ -0,0 +1,146 @@
+#pragma once
+
+#include <ATen/miopen/Exceptions.h>
+
+#include <ATen/miopen/miopen-wrapper.h>
+#include <ATen/core/Tensor.h>
+#include <ATen/TensorUtils.h>
+
+namespace at { namespace native {
+
+inline int dataSize(miopenDataType_t dataType)
+{
+  switch (dataType) {
+    case miopenHalf: return 2;
+    case miopenFloat: return 4;
+    case miopenBFloat16: return 2;
+    default: return 8;
+  }
+}
+
+template <typename T, miopenStatus_t (*dtor)(T*)>
+struct DescriptorDeleter {
+  void operator()(T* x) {
+    if (x != nullptr) {
+      MIOPEN_CHECK(dtor(x));
+    }
+  }
+};
+
+// A generic class for wrapping MIOpen descriptor types.  All you need
+// is to give the underlying type the Descriptor_t points to (usually,
+// if it's miopenTensorDescriptor_t it points to miopenTensorStruct),
+// the constructor and the destructor.  Subclasses are responsible
+// for defining a set() function to actually set the descriptor.
+//
+// Descriptors default construct to a nullptr, and have a descriptor
+// initialized the first time you call set() or any other initializing
+// function.
+template <typename T, miopenStatus_t (*ctor)(T**), miopenStatus_t (*dtor)(T*)>
+class Descriptor
+{
+public:
+  // Use desc() to access the underlying descriptor pointer in
+  // a read-only fashion.  Most client code should use this.
+  // If the descriptor was never initialized, this will return
+  // nullptr.
+  T* desc() const { return desc_.get(); }
+  T* desc() { return desc_.get(); }
+
+  // Use mut_desc() to access the underlying descriptor pointer
+  // if you intend to modify what it points to (e.g., using
+  // miopenSetFooDescriptor).  This will ensure that the descriptor
+  // is initialized.  Code in this file will use this function.
+  T* mut_desc() { init(); return desc_.get(); }
+protected:
+  void init() {
+    if (desc_ == nullptr) {
+      T* raw_desc;
+      MIOPEN_CHECK(ctor(&raw_desc));
+      desc_.reset(raw_desc);
+    }
+  }
+private:
+  std::unique_ptr<T, DescriptorDeleter<T, dtor>> desc_;
+};
+
+class TensorDescriptor
+  : public Descriptor<miopenTensorDescriptor,
+                      &miopenCreateTensorDescriptor,
+                      &miopenDestroyTensorDescriptor>
+{
+public:
+  TensorDescriptor() {}
+  explicit TensorDescriptor(const at::Tensor &t, size_t pad = 0) {
+    set(t, pad);
+  }
+
+  void set(const at::Tensor &t, size_t pad = 0);
+  void set(miopenDataType_t dataType, IntArrayRef sizes, IntArrayRef strides, size_t pad = 0);
+
+  void print();
+
+private:
+  void set(miopenDataType_t dataType, int dim, int* size, int* stride) {
+    MIOPEN_CHECK(miopenSetTensorDescriptor(mut_desc(), dataType, dim, size, stride));
+  }
+};
+
+std::ostream& operator<<(std::ostream & out, const TensorDescriptor& d);
+
+class FilterDescriptor
+  : public Descriptor<miopenTensorDescriptor,
+                      &miopenCreateTensorDescriptor,
+                      &miopenDestroyTensorDescriptor>
+{
+ public:
+  void set(const at::Tensor &t, int64_t pad = 0) {
+    set(t, at::MemoryFormat::Contiguous, pad);
+  }
+
+  void set(const at::Tensor &t, const at::MemoryFormat memory_format, int64_t pad = 0);
+
+private:
+  void set(miopenDataType_t dataType, int dim, int* size, int* stride) {
+    MIOPEN_CHECK(miopenSetTensorDescriptor(mut_desc(), dataType, dim, size, stride));
+  }
+};
+
+struct ConvolutionDescriptor
+  : public Descriptor<miopenConvolutionDescriptor,
+                      &miopenCreateConvolutionDescriptor,
+                      &miopenDestroyConvolutionDescriptor>
+{
+  void set(miopenDataType_t dataType, miopenConvolutionMode_t c_mode,  int dim, int* pad, int* stride, int * upscale /* aka dilation */, int groups, bool deterministic) {
+    MIOPEN_CHECK(miopenInitConvolutionNdDescriptor(mut_desc(), dim, pad, stride, upscale, c_mode));
+    MIOPEN_CHECK(miopenSetConvolutionGroupCount(mut_desc(), groups));
+    MIOPEN_CHECK(miopenSetConvolutionAttribute(mut_desc(), MIOPEN_CONVOLUTION_ATTRIB_DETERMINISTIC, deterministic ? 1 : 0));
+  }
+};
+
+
+struct RNNDescriptor
+  : public Descriptor<miopenRNNDescriptor,
+                      &miopenCreateRNNDescriptor,
+                      &miopenDestroyRNNDescriptor>
+{
+    void set(int64_t hidden_size, int64_t num_layers, miopenRNNInputMode_t input_mode, miopenRNNDirectionMode_t direction, miopenRNNMode_t rnn_mode,
+              miopenRNNBiasMode_t bias_mode, miopenRNNAlgo_t algorithm, miopenDataType_t datatype) {
+      MIOPEN_CHECK(miopenSetRNNDescriptor(mut_desc(), hidden_size, num_layers, input_mode, direction, rnn_mode, bias_mode, algorithm, datatype));
+    }
+};
+
+union Constant
+{
+  float f;
+  double d;
+  Constant(miopenDataType_t dataType, double value) {
+    if (dataType == miopenHalf || dataType == miopenFloat || dataType == miopenBFloat16) {
+      f = static_cast<float>(value);
+    } else {
+      d = value;
+    }
+  }
+};
+
+}}  // namespace

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/Exceptions.h

@@ -0,0 +1,41 @@
+#pragma once
+
+#include <ATen/miopen/miopen-wrapper.h>
+#include <string>
+#include <stdexcept>
+#include <sstream>
+
+namespace at { namespace native {
+
+class miopen_exception : public std::runtime_error {
+public:
+  miopenStatus_t status;
+  miopen_exception(miopenStatus_t status, const char* msg)
+      : std::runtime_error(msg)
+      , status(status) {}
+  miopen_exception(miopenStatus_t status, const std::string& msg)
+      : std::runtime_error(msg)
+      , status(status) {}
+};
+
+inline void MIOPEN_CHECK(miopenStatus_t status)
+{
+  if (status != miopenStatusSuccess) {
+    if (status == miopenStatusNotImplemented) {
+        throw miopen_exception(status, std::string(miopenGetErrorString(status)) +
+                ". This error may appear if you passed in a non-contiguous input.");
+    }
+    throw miopen_exception(status, miopenGetErrorString(status));
+  }
+}
+
+inline void HIP_CHECK(hipError_t error)
+{
+  if (error != hipSuccess) {
+    std::string msg("HIP error: ");
+    msg += hipGetErrorString(error);
+    throw std::runtime_error(msg);
+  }
+}
+
+}} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/Handle.h

@@ -0,0 +1,9 @@
+#pragma once
+
+#include <ATen/miopen/miopen-wrapper.h>
+
+namespace at { namespace native {
+
+miopenHandle_t getMiopenHandle();
+
+}} // namespace

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/Types.h

@@ -0,0 +1,12 @@
+#pragma once
+
+#include <ATen/miopen/miopen-wrapper.h>
+#include <ATen/Tensor.h>
+
+namespace at { namespace native {
+
+miopenDataType_t getMiopenDataType(const at::Tensor& tensor);
+
+int64_t miopen_version();
+
+}}  // namespace at::miopen

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/Utils.h

@@ -0,0 +1,18 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/miopen/miopen-wrapper.h>
+#include <ATen/miopen/Handle.h>
+
+namespace at { namespace native {
+
+// This function makes tensors which have zero stride contiguous, by
+// setting the strides to 1.
+inline Tensor contiguousIfZeroInStrides(const Tensor& t) {
+  for (auto s : t.strides()) {
+    if (s == 0) return t.contiguous();
+  }
+  return t;
+}
+
+}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/miopen/miopen-wrapper.h

@@ -0,0 +1,3 @@
+#pragma once
+
+#include <miopen/miopen.h>

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/EmptyTensor.h

@@ -0,0 +1,29 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+#include <ATen/core/TensorBase.h>
+
+namespace at::detail {
+
+C10_EXPORT TensorBase empty_mps(
+    IntArrayRef size,
+    c10::optional<ScalarType> dtype_opt,
+    c10::optional<Layout> layout_opt,
+    c10::optional<Device> device_opt,
+    c10::optional<bool> pin_memory_opt,
+    c10::optional<c10::MemoryFormat> memory_format_opt);
+C10_EXPORT TensorBase empty_mps(
+    IntArrayRef size, const TensorOptions &options);
+
+C10_EXPORT TensorBase empty_strided_mps(
+    IntArrayRef size,
+    IntArrayRef stride,
+    ScalarType dtype,
+    c10::optional<Device> device_opt);
+
+C10_EXPORT TensorBase empty_strided_mps(
+    IntArrayRef size,
+    IntArrayRef stride,
+    const TensorOptions &options);
+
+} // namespace at::detail

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/IndexKernels.h

@@ -0,0 +1,573 @@
+#pragma once
+
+namespace at::mps {
+
+static const char * indexing_metal_shaders = R"INDEX_METAL(
+#include <metal_stdlib>
+#include <metal_atomic>
+
+using namespace metal;
+
+#if __METAL_VERSION__ < 300
+struct IndexAB {
+    // Allow up to 16 indices
+    metal::array<constant void *, 16>  indexArray [[ id(0) ]];
+};
+#else
+struct IndexAB {
+    constant int64_t* indexArray;
+};
+
+#endif
+
+template<typename T>
+kernel void index_select(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB           [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB           [[buffer(0)]],
+#endif
+    constant void     * indexSizes        [[buffer(1)]],
+    constant void     * indexStrides      [[buffer(2)]],
+    constant uint3    * offsets           [[buffer(3)]],
+    constant void     * inputData         [[buffer(4)]],
+    device   void     * outputData        [[buffer(5)]],
+    constant uint32_t & num_indices       [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]) {
+    constant int64_t * index_sizes   = (constant int64_t *)indexSizes;
+    constant int64_t * index_strides = (constant int64_t *)indexStrides;
+    int64_t offset = 0;
+    for (uint32_t i = 0; i < num_indices; i++) {
+#if __METAL_VERSION__ >= 300
+        constant int64_t* indexArray = indexAB[i].indexArray;
+#else
+        constant int64_t* indexArray = (constant int64_t*)indexAB.indexArray[i];
+#endif
+        int64_t index = indexArray[offsets[thread_index].z / sizeof(int64_t)];
+        if (index < 0) {
+            index += index_sizes[i];
+        }
+        offset += index * index_strides[i];
+     }
+    device T * out = (device T*)((device char*)outputData + offsets[thread_index].x);
+    constant T * in  = (constant T*)((constant char*)inputData  + offsets[thread_index].y + offset);
+    *out = *in;
+}
+
+template<typename T>
+void index_put_impl(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB,
+#else
+    constant IndexAB  & indexAB,
+#endif
+    constant int64_t  * index_sizes,
+    constant int64_t  * index_strides,
+    constant uint3    * offsets,
+    constant void     * inputData,
+    device   void     * outputData,
+    constant uint32_t & num_indices,
+    uint thread_index
+){
+    int64_t offset = 0;
+    for (uint32_t i = 0; i < num_indices; i++) {
+#if __METAL_VERSION__ >= 300
+        constant int64_t* indexArray = indexAB[i].indexArray;
+#else
+        constant int64_t* indexArray = (constant int64_t*)indexAB.indexArray[i];
+#endif
+        int64_t index = indexArray[offsets[thread_index].z / sizeof(int64_t)];
+
+        if (index < 0) {
+            index += index_sizes[i];
+        }
+        offset += index * index_strides[i];
+    }
+    device T * out = (device T*)((device char*)outputData + offsets[thread_index].x + offset);
+    constant T * in  = (constant T*)((constant char*)inputData  + offsets[thread_index].y);
+    *out = *in;
+}
+
+template<typename T>
+kernel void index_put_serial(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB           [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB           [[buffer(0)]],
+#endif
+    constant void     * indexSizes        [[buffer(1)]],
+    constant void     * indexStrides      [[buffer(2)]],
+    constant uint3    * offsets           [[buffer(3)]],
+    constant void     * inputData         [[buffer(4)]],
+    device   void     * outputData        [[buffer(5)]],
+    constant uint32_t & num_indices       [[buffer(6)]],
+    constant uint     * numIters          [[buffer(7)]],
+    uint thread_index [[thread_position_in_grid]]) {
+
+    constant int64_t * index_sizes   = (constant int64_t *)indexSizes;
+    constant int64_t * index_strides = (constant int64_t *)indexStrides;
+
+    for (uint iter_i = 0; iter_i < *numIters; iter_i++) {
+        index_put_impl<T>(indexAB, index_sizes, index_strides, offsets, inputData, outputData, num_indices, iter_i);
+    }
+}
+
+template<typename T>
+kernel void index_put(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB           [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB           [[buffer(0)]],
+#endif
+    constant void     * indexSizes        [[buffer(1)]],
+    constant void     * indexStrides      [[buffer(2)]],
+    constant uint3    * offsets           [[buffer(3)]],
+    constant void     * inputData         [[buffer(4)]],
+    device   void     * outputData        [[buffer(5)]],
+    constant uint32_t & num_indices       [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]) {
+
+    constant int64_t * index_sizes   = (constant int64_t *)indexSizes;
+    constant int64_t * index_strides = (constant int64_t *)indexStrides;
+    index_put_impl<T>(indexAB, index_sizes, index_strides, offsets, inputData, outputData, num_indices, thread_index);
+}
+
+#if __METAL_VERSION__ < 300
+#define REGISTER_INDEX_OP(DTYPE_SIZE, DTYPE, INDEX_OP_TYPE)     \
+template                                                        \
+[[host_name("index_" #INDEX_OP_TYPE "_" #DTYPE_SIZE)]]          \
+kernel void index_ ## INDEX_OP_TYPE<DTYPE>(                     \
+    constant IndexAB & indexAB           [[buffer(0)]],         \
+    constant void    * indexSizes        [[buffer(1)]],         \
+    constant void    * indexStrides      [[buffer(2)]],         \
+    constant uint3   * offsets           [[buffer(3)]],         \
+    constant void    * inputData         [[buffer(4)]],         \
+    device   void    * outputData        [[buffer(5)]],         \
+    constant uint32_t & num_indices      [[buffer(6)]],         \
+    uint thread_index [[thread_position_in_grid]]);
+#else
+#define REGISTER_INDEX_OP(DTYPE_SIZE, DTYPE, INDEX_OP_TYPE)     \
+template                                                        \
+[[host_name("index_" #INDEX_OP_TYPE "_" #DTYPE_SIZE)]]          \
+kernel void index_ ## INDEX_OP_TYPE<DTYPE>(                     \
+    constant IndexAB * indexAB           [[buffer(0)]],         \
+    constant void    * indexSizes        [[buffer(1)]],         \
+    constant void    * indexStrides      [[buffer(2)]],         \
+    constant uint3   * offsets           [[buffer(3)]],         \
+    constant void    * inputData         [[buffer(4)]],         \
+    device   void    * outputData        [[buffer(5)]],         \
+    constant uint32_t & num_indices      [[buffer(6)]],         \
+    uint thread_index [[thread_position_in_grid]]);
+#endif
+
+#define REGISTER_INDEX_OP_ALL_DTYPES(INDEX_OP_TYPE)     \
+    REGISTER_INDEX_OP(8bit,  char,  INDEX_OP_TYPE);     \
+    REGISTER_INDEX_OP(16bit, short, INDEX_OP_TYPE);     \
+    REGISTER_INDEX_OP(32bit, int,   INDEX_OP_TYPE);     \
+    REGISTER_INDEX_OP(64bit, long,  INDEX_OP_TYPE);
+
+REGISTER_INDEX_OP_ALL_DTYPES(select);
+REGISTER_INDEX_OP_ALL_DTYPES(put);
+
+#if __METAL_VERSION__ < 300
+#define REGISTER_SINGLE_THREADED_INDEX_OP(DTYPE_SIZE, DTYPE, INDEX_OP_TYPE)     \
+template                                                        \
+[[host_name("index_" #INDEX_OP_TYPE "_" #DTYPE_SIZE)]]          \
+kernel void index_ ## INDEX_OP_TYPE<DTYPE>(                     \
+    constant IndexAB & indexAB           [[buffer(0)]],         \
+    constant void    * indexSizes        [[buffer(1)]],         \
+    constant void    * indexStrides      [[buffer(2)]],         \
+    constant uint3   * offsets           [[buffer(3)]],         \
+    constant void    * inputData         [[buffer(4)]],         \
+    device   void    * outputData        [[buffer(5)]],         \
+    constant uint32_t & num_indices       [[buffer(6)]],        \
+    constant uint    * numIters          [[buffer(7)]],         \
+    uint thread_index [[thread_position_in_grid]]);
+#else
+#define REGISTER_SINGLE_THREADED_INDEX_OP(DTYPE_SIZE, DTYPE, INDEX_OP_TYPE)     \
+template                                                        \
+[[host_name("index_" #INDEX_OP_TYPE "_" #DTYPE_SIZE)]]          \
+kernel void index_ ## INDEX_OP_TYPE<DTYPE>(                     \
+    constant IndexAB * indexAB           [[buffer(0)]],         \
+    constant void    * indexSizes        [[buffer(1)]],         \
+    constant void    * indexStrides      [[buffer(2)]],         \
+    constant uint3   * offsets           [[buffer(3)]],         \
+    constant void    * inputData         [[buffer(4)]],         \
+    device   void    * outputData        [[buffer(5)]],         \
+    constant uint32_t & num_indices       [[buffer(6)]],        \
+    constant uint    * numIters          [[buffer(7)]],         \
+    uint thread_index [[thread_position_in_grid]]);
+#endif
+
+#define REGISTER_SINGLE_THREADED_INDEX_OP_ALL_DTYPES(INDEX_OP_TYPE)     \
+    REGISTER_SINGLE_THREADED_INDEX_OP(8bit,  char,  INDEX_OP_TYPE);     \
+    REGISTER_SINGLE_THREADED_INDEX_OP(16bit, short, INDEX_OP_TYPE);     \
+    REGISTER_SINGLE_THREADED_INDEX_OP(32bit, int,   INDEX_OP_TYPE);     \
+    REGISTER_SINGLE_THREADED_INDEX_OP(64bit, long,  INDEX_OP_TYPE);
+
+REGISTER_SINGLE_THREADED_INDEX_OP_ALL_DTYPES(put_serial);
+
+kernel void kernel_index_offsets(constant packed_uint3 * strides         [[buffer(0)]],
+                                 device uint3          * data_offsets    [[buffer(1)]],
+                                 constant uint         * iter_shape      [[buffer(2)]],
+                                 constant uint         & num_dimensions  [[buffer(3)]],
+                                 constant uint         & num_offsets     [[buffer(4)]],
+                                 uint thread_index [[thread_position_in_grid]]) {
+    data_offsets[thread_index] = 0;
+    uint32_t idx = thread_index;
+    for (uint32_t dim = 0; dim < num_dimensions; dim++) {
+        uint32_t remainder = idx % iter_shape[dim];
+        idx /= iter_shape[dim];
+
+        data_offsets[thread_index] += remainder * strides[dim];
+    }
+}
+
+kernel void kernel_index_offset(constant uint         * strides         [[buffer(0)]],
+                                device uint           * data_offsets    [[buffer(1)]],
+                                constant uint         * iter_shape      [[buffer(2)]],
+                                constant uint         & num_dimensions  [[buffer(3)]],
+                                uint thread_index [[thread_position_in_grid]]) {
+    data_offsets[thread_index] = 0;
+    uint32_t idx = thread_index;
+    for (uint32_t dim = 0; dim < num_dimensions; dim++) {
+        uint32_t reversed_dim = num_dimensions - dim -1;
+        uint32_t remainder = idx % iter_shape[reversed_dim];
+        idx /= iter_shape[reversed_dim];
+
+        data_offsets[thread_index] += remainder * strides[reversed_dim];
+    }
+}
+
+template<typename T, typename E>
+kernel void index_put_accumulate_native_dtypes(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB     [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB     [[buffer(0)]],
+#endif
+    constant void    * indexSizes   [[buffer(1)]],
+    constant void    * indexStrides [[buffer(2)]],
+    constant uint3   * offsets      [[buffer(3)]],
+    constant void    * inputData    [[buffer(4)]],
+    device void      * outputData   [[buffer(5)]],
+    constant uint32_t& num_indices  [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]) {
+    constant int64_t * index_sizes   = (constant int64_t *)indexSizes;
+    constant int64_t * index_strides = (constant int64_t *)indexStrides;
+    int64_t offset = 0;
+    for (uint32_t i = 0; i < num_indices; i++) {
+#if __METAL_VERSION__ >= 300
+        constant int64_t* indexArray = indexAB[i].indexArray;
+#else
+        constant int64_t* indexArray = (constant int64_t*)indexAB.indexArray[i];
+#endif
+        int64_t index = indexArray[offsets[thread_index].z / sizeof(int64_t)];
+        if (index < 0) {
+            index += index_sizes[i];
+        }
+        offset += index * index_strides[i];
+    }
+    device T * out = (device T*)((device char*)outputData + offsets[thread_index].x + offset);
+    constant E * in  = (constant E*)((constant char*)inputData  + offsets[thread_index].y);
+    atomic_fetch_add_explicit(out, *in, memory_order_relaxed);
+}
+
+template<typename T>
+__attribute__((__always_inline__)) void atomic_fetch_add_relaxed(device void * addr, T value) {
+    device atomic_uint* uintAddr = (device atomic_uint*)addr;
+    uint expected = atomic_load_explicit(uintAddr, memory_order_relaxed);
+    T updated = as_type<T>(expected) + value;
+    while (!atomic_compare_exchange_weak_explicit(uintAddr, &expected, as_type<uint>(updated), memory_order_relaxed, memory_order_relaxed)) {
+        updated = as_type<T>(expected) + value;
+    }
+}
+
+template<typename T>
+kernel void atomic_index_put_accumulate(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB * indexAB           [[buffer(0)]],
+#else
+    constant IndexAB & indexAB           [[buffer(0)]],
+#endif
+    constant void    * indexSizes        [[buffer(1)]],
+    constant void    * indexStrides      [[buffer(2)]],
+    constant uint3   * offsets           [[buffer(3)]],
+    constant void    * inputData         [[buffer(4)]],
+    device   void    * outputData        [[buffer(5)]],
+    constant uint32_t& num_indices       [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]) {
+    constant int64_t * index_sizes   = (constant int64_t *)indexSizes;
+    constant int64_t * index_strides = (constant int64_t *)indexStrides;
+    int64_t offset = 0;
+    for (uint32_t i = 0; i < num_indices; i++) {
+#if __METAL_VERSION__ >= 300
+        constant int64_t* indexArray = indexAB[i].indexArray;
+#else
+        constant int64_t* indexArray = (constant int64_t*)indexAB.indexArray[i];
+#endif
+        int64_t index = indexArray[offsets[thread_index].z / sizeof(int64_t)];
+        if (index < 0) {
+            index += index_sizes[i];
+        }
+        offset += index * index_strides[i];
+    }
+    device void * out = (device void*)((device char*)outputData + offsets[thread_index].x + offset);
+    constant T  * in  = (constant T*)((constant char*)inputData + offsets[thread_index].y);
+    atomic_fetch_add_relaxed<T>(out, *in);
+}
+
+template
+[[host_name("index_put_accumulate_32bit_float")]]
+kernel void atomic_index_put_accumulate<float>(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB     [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB     [[buffer(0)]],
+#endif
+    constant void    * indexSizes   [[buffer(1)]],
+    constant void    * indexStrides [[buffer(2)]],
+    constant uint3   * offsets      [[buffer(3)]],
+    constant void    * inputData    [[buffer(4)]],
+    device   void    * outputData   [[buffer(5)]],
+    constant uint32_t& num_indices  [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]);
+
+template
+[[host_name("index_put_accumulate_32bit_int")]]
+kernel void index_put_accumulate_native_dtypes<atomic_int, int>(
+#if __METAL_VERSION__ >= 300
+    constant IndexAB  * indexAB     [[buffer(0)]],
+#else
+    constant IndexAB  & indexAB     [[buffer(0)]],
+#endif
+    constant void    * indexSizes   [[buffer(1)]],
+    constant void    * indexStrides [[buffer(2)]],
+    constant uint3   * offsets      [[buffer(3)]],
+    constant void    * inputData    [[buffer(4)]],
+    device   void    * outputData   [[buffer(5)]],
+    constant uint32_t& num_indices [[buffer(6)]],
+    uint thread_index [[thread_position_in_grid]]);
+)INDEX_METAL";
+
+static const char *SCATTER_OPS_TEMPLATE = R"METAL_SCATTER(
+struct __attribute__ ((packed)) packed_uint5{{
+  uint32_t x; uint32_t y; uint32_t z; uint32_t w; uint32_t u;
+}};
+
+kernel void scatter_kernel_5(uint linear_index              [[thread_position_in_grid]],
+                             constant void * src_           [[buffer(0)]],
+                             device void * dst_             [[buffer(1)]],
+                             constant packed_uint5 & size   [[buffer(2)]],
+                             constant packed_uint5 & stride [[buffer(3)]],
+                             constant uint32_t & numel      [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint5 local_index;
+    local_index.x = linear_index / (size.u * size.w * size.z * size.y) % size.x;
+    local_index.y = linear_index / (size.u * size.w * size.z) % size.y;
+    local_index.z = linear_index / (size.u * size.w) % size.z;
+    local_index.w = linear_index / size.u % size.w;
+    local_index.u = linear_index % size.u;
+
+    packed_uint5 strided_index;
+    strided_index.x = local_index.x * stride.x;
+    strided_index.y = local_index.y * stride.y;
+    strided_index.z = local_index.z * stride.z;
+    strided_index.w = local_index.w * stride.w;
+    strided_index.u = local_index.u * stride.u;
+
+    dst[strided_index.x + strided_index.y + strided_index.z + strided_index.w + strided_index.u] = src[linear_index];
+}}
+
+kernel void scatter_kernel_4(uint linear_index              [[thread_position_in_grid]],
+                             constant void * src_           [[buffer(0)]],
+                             device void * dst_             [[buffer(1)]],
+                             constant packed_uint4 & size   [[buffer(2)]],
+                             constant packed_uint4 & stride [[buffer(3)]],
+                             constant uint32_t & numel      [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint4 local_index;
+    local_index.x = linear_index / (size[3] * size[2] * size[1]) % size[0];
+    local_index.y = linear_index / (size[3] * size[2]) % size[1];
+    local_index.z = linear_index / size[3] % size[2];
+    local_index.w = linear_index % size[3];
+
+    const packed_uint4 strided_index = local_index * stride;
+    dst[strided_index.x + strided_index.y + strided_index.z + strided_index.w] = src[linear_index];
+}}
+
+kernel void scatter_kernel_3(uint linear_index              [[thread_position_in_grid]],
+                             constant void * src_           [[buffer(0)]],
+                             device void * dst_             [[buffer(1)]],
+                             constant packed_uint3 & size   [[buffer(2)]],
+                             constant packed_uint3 & stride [[buffer(3)]],
+                             constant uint32_t & numel      [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint3 local_index;
+    local_index.x = linear_index / (size[2] * size[1]) % size[0];
+    local_index.y = linear_index / size[2] % size[1];
+    local_index.z = linear_index % size[2];
+
+    const packed_uint3 strided_index = local_index * stride;
+    dst[strided_index.x + strided_index.y + strided_index.z] = src[linear_index];
+}}
+
+kernel void scatter_kernel_2(uint linear_index              [[thread_position_in_grid]],
+                             constant void * src_           [[buffer(0)]],
+                             device void * dst_             [[buffer(1)]],
+                             constant packed_uint2 & size   [[buffer(2)]],
+                             constant packed_uint2 & stride [[buffer(3)]],
+                             constant uint32_t & numel      [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint2 local_index;
+    local_index.x = linear_index / size[1] % size[0];
+    local_index.y = linear_index % size[1];
+
+    const packed_uint2 strided_index = local_index * stride;
+    dst[strided_index.x + strided_index.y] = src[linear_index];
+}}
+
+kernel void scatter_kernel_1(uint linear_index              [[thread_position_in_grid]],
+                             constant void * src_           [[buffer(0)]],
+                             device void * dst_             [[buffer(1)]],
+                             constant int & size            [[buffer(2)]],
+                             constant int & stride          [[buffer(3)]],
+                             constant uint32_t & numel      [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    const int local_index = linear_index % size;
+    const int strided_index = local_index * stride;
+    dst[strided_index] = src[linear_index];
+}}
+)METAL_SCATTER";
+
+static const char *GATHER_OPS_TEMPLATE = R"METAL_GATHER(
+struct __attribute__ ((packed)) packed_uint5{{
+  uint32_t x; uint32_t y; uint32_t z; uint32_t w; uint32_t u;
+}};
+
+kernel void gather_kernel_5(uint linear_index               [[thread_position_in_grid]],
+                            constant void * src_            [[buffer(0)]],
+                            device void * dst_              [[buffer(1)]],
+                            constant packed_uint5 & size    [[buffer(2)]],
+                            constant packed_uint5 & stride  [[buffer(3)]],
+                            constant uint32_t & numel       [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+
+    packed_uint5 local_index;
+    local_index.x = linear_index / (size.u * size.w * size.z * size.y) % size.x;
+    local_index.y = linear_index / (size.u * size.w * size.z) % size.y;
+    local_index.z = linear_index / (size.u * size.w) % size.z;
+    local_index.w = linear_index / size.u % size.w;
+    local_index.u = linear_index % size.u;
+
+    packed_uint5 strided_index;
+    strided_index.x = local_index.x * stride.x;
+    strided_index.y = local_index.y * stride.y;
+    strided_index.z = local_index.z * stride.z;
+    strided_index.w = local_index.w * stride.w;
+    strided_index.u = local_index.u * stride.u;
+
+    dst[linear_index] = src[strided_index.x + strided_index.y + strided_index.z + strided_index.w + strided_index.u];
+}}
+
+kernel void gather_kernel_4(uint linear_index               [[thread_position_in_grid]],
+                            constant void * src_            [[buffer(0)]],
+                            device void * dst_              [[buffer(1)]],
+                            constant packed_uint4 & size    [[buffer(2)]],
+                            constant packed_uint4 & stride  [[buffer(3)]],
+                            constant uint32_t & numel       [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint4 local_index;
+    local_index.x = linear_index / (size[3] * size[2] * size[1]) % size[0];
+    local_index.y = linear_index / (size[3] * size[2]) % size[1];
+    local_index.z = linear_index / size[3] % size[2];
+    local_index.w = linear_index % size[3];
+
+    const packed_uint4 strided_index = local_index * stride;
+    dst[linear_index] = src[strided_index.x + strided_index.y + strided_index.z + strided_index.w];
+}}
+
+kernel void gather_kernel_3(uint linear_index               [[thread_position_in_grid]],
+                            constant void * src_            [[buffer(0)]],
+                            device void * dst_              [[buffer(1)]],
+                            constant packed_uint3 & size    [[buffer(2)]],
+                            constant packed_uint3 & stride  [[buffer(3)]],
+                            constant uint32_t & numel       [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint3 local_index;
+    local_index.x = linear_index / (size[2] * size[1]) % size[0];
+    local_index.y = linear_index / size[2] % size[1];
+    local_index.z = linear_index % size[2];
+
+    const packed_uint3 strided_index = local_index * stride;
+    dst[linear_index] = src[strided_index.x + strided_index.y + strided_index.z];
+}}
+
+kernel void gather_kernel_2(uint linear_index               [[thread_position_in_grid]],
+                            constant void * src_            [[buffer(0)]],
+                            device void * dst_              [[buffer(1)]],
+                            constant packed_uint2 & size    [[buffer(2)]],
+                            constant packed_uint2 & stride  [[buffer(3)]],
+                            constant uint32_t & numel       [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    packed_uint2 local_index;
+    local_index.x = linear_index / size[1] % size[0];
+    local_index.y = linear_index % size[1];
+
+    const packed_uint2 strided_index = local_index * stride;
+    dst[linear_index] = src[strided_index.x + strided_index.y];
+}}
+
+kernel void gather_kernel_1(uint linear_index               [[thread_position_in_grid]],
+                            constant void * src_            [[buffer(0)]],
+                            device void * dst_              [[buffer(1)]],
+                            constant int & size             [[buffer(2)]],
+                            constant int & stride           [[buffer(3)]],
+                            constant uint32_t & numel       [[buffer(4)]]) {{
+    if (linear_index >= numel) return;
+
+    constant {0} * src = (constant {0} *)src_;
+    device {1} * dst = (device {1} *)dst_;
+
+    const int local_index = linear_index % size;
+    const int strided_index = local_index * stride;
+    dst[linear_index] = src[strided_index];
+}}
+)METAL_GATHER";
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSAllocator.h

@@ -0,0 +1,401 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+
+#include <ATen/mps/MPSAllocatorInterface.h>
+#include <ATen/mps/MPSEvent.h>
+#include <ATen/mps/MPSStream.h>
+
+#include <cstdio>
+#include <mutex>
+#include <set>
+#include <unordered_set>
+#include <mach/vm_page_size.h>
+#include <c10/util/flat_hash_map.h>
+
+// this implementation is based on CUDACachingAllocator.
+// It utilizes Metal Heaps to improve the performance with buffer allocation.
+// Do not include this header. Use MPSAllocatorInterface.h instead.
+// TODO: Unify the logic with CUDACachingAllocator and remove redundant code.
+namespace at::mps::HeapAllocator {
+
+static const size_t kMaxSmallAlloc = MB(1);    // largest "small" allocation is 1 MiB
+static const size_t kMinLargeAlloc = MB(10);   // allocations between 1 and 10 MiB may use kLargeHeap
+static const size_t kRoundLarge    = MB(2);    // round up large allocations to 2 MiB
+static const size_t kSmallHeap     = MB(8);    // "small" allocations are packed in 8 MiB heaps
+static const size_t kLargeHeap     = MB(32);   // "large" allocations may be packed in 32 MiB heaps
+static const size_t kXLargeHeapD   = MB(128);  // "extra large" allocations on Discrete devices may be packed in 128 MiB heaps
+static const size_t kXLargeHeapU   = MB(1024); // "extra large" allocations on Unified devices may be packed in 1 GiB heaps
+static const size_t kMaxScalarAlloc = (sizeof(int64_t)); // largest "scalar" allocation
+
+// buffer pools could be customized with a combination of usage flags
+enum UsageFlags : uint32_t {
+  PRIVATE = 0,
+  SMALL   = (1 << 0), // small heaps have sizes of kSmallHeap, and large ones kLargeHeap
+  SHARED  = (1 << 1), // shared pools allocated on devices with unified memory; otherwise, private between host/device
+  MANAGED = (1 << 2), // managed storage mode
+  HAZARD  = (1 << 3), // enables Automatic Hazard Tracking for the resources allocated on the pool
+  SCALAR  = (1 << 4), // used to import CPU scalar values to GPU and use them in MPS Stream
+};
+// debug verbosity flags
+enum DebugVerbosity : uint32_t {
+  SILENT      = 0,
+  PROFILING   = (1 << 0), // print generic profiling data for total system memory usage
+  ALLOCATIONS = (1 << 1), // print buffer allocations
+  RECYCLES    = (1 << 2), // print buffer recycling
+  RELEASES    = (1 << 3), // print buffer releases
+  LARGE_ONLY  = (1 << 4), // only log large buffer pool transactions
+};
+
+struct HeapBlock;
+
+struct BufferBlock {
+  id<MTLBuffer> buffer;
+  void* cpu_ptr = nullptr; // stores the pointer to CPU mapping of a Shared MTLBuffer
+  size_t size; // size after alignment
+  size_t requested_size; // requested size (before alignment)
+  // buffer shape is used for retrieving base of views in cached graphs
+  std::vector<int64_t> shape;
+  bool in_use = false;
+  HeapBlock* heap;
+  id_t buf_id;
+  // counter to candidate least recently used buffers for garbage collection
+  uint32_t gc_count = 0;
+  uint32_t use_count = 0;
+  // counter to assign unique ids to buffer blocks
+  static uint64_t buffer_counter;
+  // Metal events used to sync GPU/CPU operations on the shared-storage buffers
+  MPSEventPtr event;
+
+  BufferBlock(size_t Size, size_t RequestedSize = 0, const id<MTLBuffer> Buffer = nullptr,
+              HeapBlock* Heap = nullptr) :
+              buffer(Buffer), size(Size), requested_size(RequestedSize),
+              heap(Heap), buf_id(Buffer ? ++buffer_counter : 0) { }
+
+  static bool Comparator(const BufferBlock* a, const BufferBlock* b) {
+    return (a->size != b->size) ? a->size < b->size : (uintptr_t)a->buffer < (uintptr_t)b->buffer;
+  }
+  static size_t alignUp(size_t Size, size_t Alignment) {
+    assert(((Alignment - 1) & Alignment) == 0);
+    return ((Size + Alignment - 1) & ~(Alignment - 1));
+  }
+  uint32_t retainCount() const { return [buffer retainCount]; }
+};
+typedef bool (*BufferComparison)(const BufferBlock*, const BufferBlock*);
+
+struct BufferPool;
+struct AllocParams {
+  AllocParams(size_t Alloc_Size, size_t Requested_Size, BufferPool* Pool) :
+              search_key(Alloc_Size), pool(Pool), requested_size(Requested_Size) { }
+  size_t size() const { return search_key.size; }
+
+  BufferBlock search_key;
+  BufferPool* pool;
+  BufferBlock* buffer_block = nullptr;
+  size_t requested_size;
+  // true if we exceed the low watermark limit. In this case
+  // we apply strategies to relieve the pressure before allocation.
+  bool has_memory_pressure = false;
+  // true if we're allocating on a unified memory device
+  bool has_unified_memory = true;
+};
+
+struct HeapBlock {
+  id<MTLHeap> heap;
+  struct { size_t total, available; } size;
+  BufferPool* pool;
+  unsigned int n_buffers = 0;
+  id_t heap_id;
+  // indicates if we split this heap to sub-allocate 'several' buffers (otherwise single buffer)
+  bool is_split;
+  // counter to assign unique ids to heap blocks
+  static uint64_t heap_counter;
+
+  HeapBlock(size_t Size, const id<MTLHeap> Heap = nullptr, BufferPool *Pool = nullptr) :
+            heap(Heap), size({.total = Size, .available = Size}), pool(Pool),
+            heap_id(Heap ? ++heap_counter : 0), is_split(true) { }
+
+  static MTLResourceOptions getOptions(uint32_t usage) {
+    // TODO: check the caching performance of write-combined mode
+    MTLResourceOptions options = MTLResourceCPUCacheModeDefaultCache;
+
+    if (usage & UsageFlags::MANAGED)
+      options |= MTLResourceStorageModeManaged;
+    else if (usage & UsageFlags::SHARED)
+      options |= MTLResourceStorageModeShared;
+    else
+      options |= MTLResourceStorageModePrivate;
+
+    options |= (usage & UsageFlags::HAZARD) ? MTLResourceHazardTrackingModeTracked : MTLResourceHazardTrackingModeUntracked;
+
+    return options;
+  }
+
+  static HeapBlock* createHeapBlock(AllocParams& params, id<MTLDevice> device, uint32_t usage) {
+    HeapBlock *heapBlock = nullptr;
+    bool is_split = true;
+    const size_t size = params.size();
+    MTLHeapDescriptor *d = [MTLHeapDescriptor new];
+    if (d) {
+      const size_t kXLargeHeap = params.has_unified_memory ? kXLargeHeapU : kXLargeHeapD;
+      if (size <= kMaxSmallAlloc) {
+        d.size = kSmallHeap;
+      } else if (size < kMinLargeAlloc) {
+        d.size = kLargeHeap;
+      } else if (size < kXLargeHeap / 2 && !params.has_memory_pressure) {
+        d.size = kXLargeHeap;
+      } else {
+        d.size = kRoundLarge * ((size + kRoundLarge - 1) / kRoundLarge);
+        is_split = false;
+      }
+      d.storageMode = (usage & UsageFlags::SHARED) ? MTLStorageModeShared : MTLStorageModePrivate;
+      d.cpuCacheMode = MTLCPUCacheModeDefaultCache;
+      // this automatically handles Metal buffer access synchronizations at the
+      // cost of slightly lower performance.
+      d.hazardTrackingMode = (usage & UsageFlags::HAZARD) ? MTLHazardTrackingModeTracked : MTLHazardTrackingModeUntracked;
+      d.resourceOptions = getOptions(usage);
+      d.type = MTLHeapTypeAutomatic;
+      id<MTLHeap> heap = [device newHeapWithDescriptor: d];
+      if (heap) {
+        [heap setPurgeableState:MTLPurgeableStateNonVolatile];
+        const size_t heap_size = heapAvailableSize(heap);
+        heapBlock = new HeapBlock(heap_size, heap, params.pool);
+        if (heapBlock) {
+          heapBlock->is_split = is_split;
+        }
+      }
+      [d release];
+    }
+    return heapBlock;
+  }
+  static bool Comparator(const HeapBlock* a, const HeapBlock* b) {
+    return (a->size.available != b->size.available) ? a->size.available < b->size.available :
+                                                      (uintptr_t)a->heap < (uintptr_t)b->heap;
+  }
+  static NSUInteger heapAvailableSize(id<MTLHeap> heap, size_t Alignment = vm_page_size) {
+    return [heap maxAvailableSizeWithAlignment:Alignment];
+  }
+  NSUInteger Size() {
+    return [heap size];
+  }
+  id<MTLBuffer> newMTLBuffer(size_t length, uint32_t usage) {
+    id<MTLBuffer> buf = [heap newBufferWithLength:length options:getOptions(usage)];
+    if (buf) {
+      updateAvailableSize();
+      n_buffers++;
+    }
+    return buf;
+  }
+  // returns the retainCount before releasing the buffer
+  uint32_t releaseMTLBuffer(id<MTLBuffer>& buffer) {
+    const uint32_t retainCount = [buffer retainCount];
+    [buffer release];
+    buffer = nil;
+    updateAvailableSize();
+    n_buffers--;
+    return retainCount;
+  }
+  // returns the retainCount before releasing the heap
+  uint32_t releaseMTLHeap() {
+    const uint32_t retainCount = [heap retainCount];
+    TORCH_INTERNAL_ASSERT(!n_buffers); // assert if heap isn't empty
+    [heap setPurgeableState:MTLPurgeableStateEmpty];
+    [heap release];
+    heap = nil;
+    size.available = 0;
+    return retainCount;
+  }
+  uint32_t retainCount() const { return [heap retainCount]; }
+  void updateAvailableSize() { size.available = heapAvailableSize(heap); }
+};
+typedef bool (*HeapComparison)(const HeapBlock*, const HeapBlock*);
+
+struct BufferPool {
+  enum class Kind {
+    PRIVATE_SMALL,
+    PRIVATE_LARGE,
+    SHARED_SMALL,
+    SHARED_LARGE,
+    SCALAR,
+  };
+
+  BufferPool(const id<MTLDevice> Device, uint32_t Usage) :
+             device(Device), usage(Usage),
+             heaps(HeapBlock::Comparator), available_buffers(BufferBlock::Comparator) { }
+
+  const id<MTLDevice> device;
+  // usage flags to customize the pool for various purposes (see UsageFlags enum)
+  const uint32_t usage;
+  // total number of buffers in the pool
+  uint32_t n_buffers = 0;
+  // total allocations size on this pool
+  size_t allocated_size = 0;
+  // total memory available in the pool
+  size_t available_size = 0;
+  // list of heaps ordered by their "available" (not total) memory size
+  std::set<HeapBlock*, HeapComparison> heaps;
+  // list of only "available" buffers in the pool (i.e., buffers not in-use)
+  std::set<BufferBlock*, BufferComparison> available_buffers;
+  // list of buffers that are in a state of "limbo" where they've already been freed
+  // from PyTorch-side, but were not returned to pool due to still being
+  // in-use by command buffers with retainCount > 1. In this state, the buffer is
+  // neither ready to be recycled, nor could be returned to pool as available.
+  // These buffers will be returned to pool once the command buffer's
+  // completionHandler callbacks are called.
+  std::unordered_set<BufferBlock*> buffers_pending_free;
+  // list of heaps pending size update
+  std::unordered_set<HeapBlock*> heaps_pending_update;
+};
+
+class MPSHeapAllocatorImpl {
+public:
+  explicit MPSHeapAllocatorImpl() :
+    m_device(at::mps::MPSDevice::getInstance()->device()),
+    m_max_buffer_size([m_device maxBufferLength]),
+    m_stream(getDefaultMPSStream()),
+    m_event_pool(getMPSEventPool()) {
+    init_allocator();
+  }
+  ~MPSHeapAllocatorImpl() {
+    emptyCache();
+  }
+  // interface exposed to at::Allocator
+  id<MTLBuffer> malloc(size_t size, uint32_t usage);
+  // frees a buffer and returns it into buffer pool
+  void free(void* ptr);
+  // releases all the cached buffers and their associated heaps
+  void emptyCache();
+  // free inactive buffers that are pending to be freed
+  void freeInactiveBuffers();
+  // returns true if buffer was allocated from the shared pool
+  bool isSharedBuffer(const void* ptr);
+  // get the requested unaligned size of an MTLBuffer
+  ssize_t getUnalignedBufferSize(const void* ptr);
+  // set the shape of a base tensor from a view tensor
+  void setBufferShape(const void* ptr, const IntArrayRef& shape);
+  // retrieve the shape of a base tensor from a view tensor
+  IntArrayRef getBufferShape(const void* ptr);
+  // get the unique ID of the buffer
+  id_t getBufferId(const void* ptr);
+  // allocate a buffer from a specialized pool to import CPU scalars into GPU
+  id<MTLBuffer> allocScalarBufferWithValue(void* value, size_t size);
+  // returns a CPU-mapping of the input buffer and its retainCount,
+  // if only it has Shared storage-mode and allocated on MPSAllocator
+  std::pair<const void*, uint32_t> getSharedBufferPtr(const void* buffer);
+  // records events for a list of MTLBuffers (list is used to lock the mutex once)
+  // returns true if records any event (given if passed buffers exist and are shared-storage)
+  bool recordEvents(c10::ArrayRef<const void*> buffers);
+  // waits for the event to signal the completion of GPU execution
+  // on the passed shared buffers (list is used to lock the mutex once)
+  // returns true if actually waited on any event
+  bool waitForEvents(c10::ArrayRef<const void*> buffers);
+  // this indicates how far (in Megabytes) the current total allocations are from the
+  // low watermark limit which is used to detect if we're under memory pressure
+  // This returns zero if we've reached the low watermark limit
+  ssize_t getLowWatermarkValue();
+  // (see m_low_watermark_ratio for description)
+  void setLowWatermarkRatio(double ratio);
+  // (see m_high_watermark_ratio for description)
+  void setHighWatermarkRatio(double ratio);
+  // (see m_low_watermark_limit for description)
+  size_t getLowWatermarkLimit() const { return m_low_watermark_limit; }
+  // (see m_max_total_allowed_size for description)
+  size_t getHighWatermarkLimit() const { return m_max_total_allowed_size; }
+  // (see m_total_allocated_memory for description)
+  size_t getTotalAllocatedMemory() const { return m_total_allocated_memory; }
+  // (see m_current_allocated_memory for description)
+  size_t getCurrentAllocatedMemory() const { return m_current_allocated_memory; }
+  // total GPU memory allocated in the process by Metal driver; including
+  // implicit allocations from MPS/MPSGraph frameworks and MPSHeapAllocatorImpl.
+  size_t getDriverAllocatedMemory() const { return current_allocated_size(); }
+  // (see enum DebugVerbosity for description)
+  uint32_t getDebugVerbosity() const { return m_debug_verbosity; }
+  // returns the device that we allocate from
+  inline id<MTLDevice> Device() const { return m_device; }
+
+  // TODO: make a common function to do size unit conversions in PyTorch.
+  inline std::string format_size(uint64_t size) const;
+
+private:
+  // (see m_high_watermark_ratio for description)
+  constexpr static double default_high_watermark_ratio = 1.7;
+  // we set the allowed upper bound to twice the size of recommendedMaxWorkingSetSize.
+  constexpr static double default_high_watermark_upper_bound = 2.0;
+  // (see m_low_watermark_ratio for description)
+  // on unified memory, we could allocate beyond the recommendedMaxWorkingSetSize
+  constexpr static double default_low_watermark_ratio_unified  = 1.4;
+  constexpr static double default_low_watermark_ratio_discrete = 1.0;
+
+  const id<MTLDevice> m_device;
+  std::recursive_mutex m_mutex;
+  // allocated buffers by device pointer
+  ska::flat_hash_map<const void*, BufferBlock*> m_allocated_buffers;
+  // using a container for pools to simplify iterating them
+  ska::flat_hash_map<BufferPool::Kind, std::unique_ptr<BufferPool>> m_pools;
+  // total memory allocated by HeapAllocator (including blocks in pools)
+  size_t m_total_allocated_memory = 0;
+  // currently active memory allocations in use (i.e., blocks not in pools)
+  size_t m_current_allocated_memory = 0;
+  // max buffer size allowed by Metal
+  size_t m_max_buffer_size = 0;
+  // maximum total size allowed to be allocated
+  size_t m_max_total_allowed_size = 0;
+  // high watermark ratio is a hard limit for the total allowed allocations
+  // 0. : disables high watermark limit (may cause system failure if system-wide OOM occurs)
+  // 1. : recommended maximum allocation size (i.e., device.recommendedMaxWorkingSetSize)
+  // >1.: allows limits beyond the device.recommendedMaxWorkingSetSize
+  // e.g., value 0.95 means we allocate up to 95% of recommended maximum
+  // allocation size; beyond that, the allocations would fail with OOM error.
+  double m_high_watermark_ratio;
+  // low watermark ratio is a soft limit to attempt limiting memory allocations up to the lower watermark
+  // level by garbage collection or committing command buffers more frequently (a.k.a, adaptive commit).
+  // Value between 0 to m_high_watermark_ratio (setting 0.0 disables adaptive commit and garbage collection)
+  // e.g., value 0.9 means we 'attempt' to limit allocations up to 90% of recommended maximum
+  // allocation size.
+  double m_low_watermark_ratio;
+  // low watermark size limit (in Bytes) at the time we initialize the allocator
+  size_t m_low_watermark_limit;
+  // use "PYTORCH_DEBUG_MPS_ALLOCATOR" env-var to set debug verbosity
+  uint32_t m_debug_verbosity;
+  // default MPS stream
+  MPSStream* m_stream;
+  // we hold a reference to MPSEventPool so it could get destroyed after MPSAllocator
+  std::shared_ptr<MPSEventPool> m_event_pool;
+
+  void init_allocator();
+  void init_buffer_pools();
+  HeapBlock* get_free_heap(AllocParams& params);
+  bool get_free_buffer(AllocParams& params);
+  BufferBlock* get_allocated_buffer_block(const void* ptr);
+  BufferBlock* alloc_buffer_block(size_t size, uint32_t usage);
+  bool alloc_buffer(AllocParams& params);
+  void free_buffer(BufferBlock* buffer_block);
+  // returns true if the container heap is also released
+  bool release_buffer(BufferBlock* buffer_block, bool remove_empty_heap = true);
+  void release_buffers(BufferPool& pool);
+  bool release_available_cached_buffers(AllocParams& params);
+  bool release_cached_buffers();
+  // free unused cached blocks to reclaim GPU memory if memory pressure is high
+  void garbage_collect_cached_buffers(AllocParams& params);
+  // returns the suitable buffer pool type for the usage or
+  // requested/allocated sizes
+  BufferPool& get_pool(size_t requested_size, size_t aligned_size, uint32_t usage);
+  // returns the aligned allocation size that is optimized
+  // for the buffers to get reused frequently
+  size_t get_allocation_size(size_t size, uint32_t usage) const;
+  // maximum size of device memory available for allocation in current process
+  // Note: the recommendedMaxWorkingSetSize is typically 75% of the total system memory.
+  size_t max_device_size() const { return [m_device recommendedMaxWorkingSetSize]; }
+  // there are implicit allocations from MPS backend, so we need to query the 'device' for
+  // total allocated size instead of manually tracking in MPSAllocator
+  size_t current_allocated_size() const { return [m_device currentAllocatedSize]; }
+
+  bool trigger_memory_callbacks(BufferBlock* buffer_block, IMpsAllocatorCallback::EventType event) const {
+    for (const auto& name : MPSAllocatorCallbacksRegistry()->Keys()) {
+      MPSAllocatorCallbacksRegistry()->Create(name)->executeMPSAllocatorCallback(buffer_block ? buffer_block->buffer : nullptr, event);
+    }
+    return true;
+  }
+};
+
+} // namespace at::mps::HeapAllocator

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSAllocatorInterface.h

@@ -0,0 +1,61 @@
+//  Copyright © 2023 Apple Inc.
+
+#pragma once
+
+#include <c10/core/Allocator.h>
+#include <c10/util/Registry.h>
+#include <ATen/core/ATen_fwd.h>
+
+#define MB(x) (x * 1048576UL)
+
+namespace at::mps {
+
+// this is a public interface to access MPSAllocator.
+// Do not declare methods that would depend on MPS or Metal frameworks.
+class IMPSAllocator : public c10::Allocator {
+public:
+  // see the comments in MPSAllocator.h for the description of these methods.
+  virtual void emptyCache() const = 0;
+  virtual void freeInactiveBuffers() const = 0;
+  virtual ssize_t getUnalignedBufferSize(const void* ptr) const = 0;
+  virtual IntArrayRef getBufferShape(const void* ptr) const = 0;
+  virtual id_t getBufferId(const void* ptr) const = 0;
+  virtual void setBufferShape(const void* ptr, const IntArrayRef& shape) const = 0;
+  virtual bool isSharedBuffer(const void* ptr) const = 0;
+  virtual bool isSharedStorageSupported() const = 0;
+  virtual c10::DataPtr allocScalarBufferWithValue(void* value, size_t size) const = 0;
+  virtual std::string formatSize(size_t size) const = 0;
+  virtual void setLowWatermarkRatio(double ratio) const = 0;
+  virtual void setHighWatermarkRatio(double ratio) const = 0;
+  virtual ssize_t getLowWatermarkValue() const = 0;
+  virtual size_t getLowWatermarkLimit() const = 0;
+  virtual size_t getHighWatermarkLimit() const = 0;
+  virtual size_t getTotalAllocatedMemory() const = 0;
+  virtual size_t getCurrentAllocatedMemory() const = 0;
+  virtual size_t getDriverAllocatedMemory() const = 0;
+  virtual std::pair<const void*, uint32_t> getSharedBufferPtr(const void* ptr) const = 0;
+  virtual bool recordEvents(c10::ArrayRef<const void*> buffers) const = 0;
+  virtual bool waitForEvents(c10::ArrayRef<const void*> buffers) const = 0;
+};
+
+class IMpsAllocatorCallback {
+ public:
+  enum class EventType {
+    ALLOCATED, // buffer got allocated to be used immediately
+    RECYCLED,  // buffer pulled from free list to be reused
+    FREED,     // buffer put to free list for future recycling
+    RELEASED,  // buffer memory released
+    ALLOCATION_FAILED // buffer allocation failed
+  };
+  virtual ~IMpsAllocatorCallback() = default;
+  virtual void executeMPSAllocatorCallback(void* ptr, EventType event) = 0;
+};
+
+// MPS allocator will execute every registered callback when a block of memory is freed.
+C10_DECLARE_REGISTRY(MPSAllocatorCallbacksRegistry, IMpsAllocatorCallback);
+#define REGISTER_MPS_ALLOCATOR_CALLBACK(name, ...) \
+  C10_REGISTER_CLASS(MPSAllocatorCallbacksRegistry, name, __VA_ARGS__);
+
+IMPSAllocator* getIMPSAllocator(bool sharedAllocator = false);
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSDevice.h

@@ -0,0 +1,84 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+#include <c10/core/Allocator.h>
+#include <c10/macros/Macros.h>
+#include <c10/util/Exception.h>
+
+
+#ifdef __OBJC__
+#include <Foundation/Foundation.h>
+#include <Metal/Metal.h>
+#include <MetalPerformanceShaders/MetalPerformanceShaders.h>
+typedef id<MTLDevice> MTLDevice_t;
+typedef id<MTLLibrary> MTLLibrary_t;
+typedef id<MTLComputePipelineState> MTLComputePipelineState_t;
+typedef id<MTLLibrary> MTLLibrary_t;
+#else
+typedef void* MTLDevice;
+typedef void* MTLDevice_t;
+typedef void* MTLLibrary_t;
+typedef void* MTLComputePipelineState_t;
+typedef void* MTLLibrary_t;
+#endif
+
+using namespace std;
+
+namespace at::mps {
+
+// Helper enum to check if a MPSGraph op is supported in a given macOS version
+enum class MacOSVersion : uint32_t {
+  MACOS_VER_13_0_PLUS = 0,
+  MACOS_VER_13_1_PLUS,
+  MACOS_VER_13_2_PLUS,
+  MACOS_VER_13_3_PLUS,
+};
+
+//-----------------------------------------------------------------
+//  MPSDevice
+//
+// MPSDevice is a singleton class that returns the default device
+//-----------------------------------------------------------------
+
+class TORCH_API MPSDevice {
+ public:
+  /**
+   * MPSDevice should not be cloneable.
+   */
+  MPSDevice(MPSDevice& other) = delete;
+  /**
+   * MPSDevice should not be assignable.
+   */
+  void operator=(const MPSDevice&) = delete;
+  /**
+   * Gets single instance of the Device.
+   */
+  static MPSDevice* getInstance();
+  /**
+   * Returns the single device.
+   */
+  MTLDevice_t device() {
+    return _mtl_device;
+  }
+  /**
+   * Returns whether running on Ventura or newer
+   */
+  bool isMacOS13Plus(MacOSVersion version) const;
+
+  MTLComputePipelineState_t metalIndexingPSO(const std::string &kernel);
+  MTLLibrary_t getMetalIndexingLibrary();
+
+  ~MPSDevice();
+
+ private:
+  static MPSDevice* _device;
+  MTLDevice_t _mtl_device;
+  MTLLibrary_t _mtl_indexing_library;
+  MPSDevice();
+};
+
+TORCH_API bool is_available();
+TORCH_API bool is_macos_13_or_newer(MacOSVersion version = MacOSVersion::MACOS_VER_13_0_PLUS);
+TORCH_API at::Allocator* GetMPSAllocator(bool useSharedAllocator = false);
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSEvent.h

@@ -0,0 +1,100 @@
+//  Copyright © 2023 Apple Inc.
+
+#pragma once
+
+#include <ATen/mps/MPSStream.h>
+#include <ctime>
+#include <stack>
+
+namespace at::mps {
+
+// NOTE: don't create instances of this class directly.
+// Use MPSEventPool to acquire instances of MPSEvent.
+class MPSEvent {
+public:
+  explicit MPSEvent(id_t ID, MPSStream* stream, bool enable_timing);
+  ~MPSEvent();
+
+  // records an event on the stream
+  void record(bool needsLock, bool syncEvent = false);
+  // makes all future work submitted to the stream wait for this event.
+  bool wait(bool needsLock, bool syncEvent = false);
+  // schedules a notifyListener callback for the event.
+  bool notify(bool needsLock, MTLSharedEventNotificationBlock block);
+  // checks if events are already signaled.
+  bool query() const;
+  // blocks the CPU thread until all the GPU work that were scheduled
+  // prior to recording this event are completed.
+  bool synchronize();
+  // resets this event with new parameters in case it gets reused from the event pool
+  void reset(MPSStream* stream, bool enable_timing);
+  // returns the unique ID of the event instance
+  id_t getID() const { return m_id; }
+  // returns the completion timestamp of the event
+  uint64_t getCompletionTime() const { return m_completion_time; }
+  // if already recorded, waits for cpu_sync_cv to be signaled
+  void waitForCpuSync();
+
+private:
+  id_t m_id;
+  // enables measuring the completion time of the notifyListener of this event
+  bool m_enable_timing;
+  uint64_t m_signalCounter = 0;
+  MPSStream* m_stream = nullptr;
+  MTLSharedEvent_t m_event = nullptr;
+  MTLSharedEventListener* m_listener = nullptr;
+  // used to sync the events created on this Stream with CPU
+  std::mutex m_cpu_sync_mutex{};
+  std::condition_variable m_cpu_sync_cv{};
+  // CondVar predicate to sync the events created on this Stream with CPU
+  bool m_cpu_sync_completed = false;
+  // used to compute elapsed time
+  uint64_t m_completion_time = 0;
+
+  void recordLocked(bool syncEvent);
+  bool waitLocked(bool syncEvent);
+  bool notifyLocked(MTLSharedEventNotificationBlock block);
+  void notifyCpuSync();
+  static uint64_t getTime() {
+    return clock_gettime_nsec_np(CLOCK_MONOTONIC_RAW);
+  }
+};
+
+typedef std::unique_ptr<MPSEvent, std::function<void(MPSEvent*)>> MPSEventPtr;
+
+class MPSEventPool {
+public:
+  explicit MPSEventPool(MPSStream* default_stream);
+  ~MPSEventPool();
+
+  MPSEventPtr acquireEvent(bool enable_timing, MPSStream* stream);
+  void emptyCache();
+
+  // these are mainly used for MPSHooks and torch.mps.Event() bindings
+  id_t acquireEvent(bool enable_timing);
+  void releaseEvent(id_t event_id);
+  void recordEvent(id_t event_id, bool syncEvent);
+  void waitForEvent(id_t event_id, bool syncEvent);
+  void synchronizeEvent(id_t event_id);
+  bool queryEvent(id_t event_id);
+  // returns elapsed time between two recorded events in milliseconds
+  double elapsedTime(id_t start_event_id, id_t end_event_id);
+
+private:
+  MPSStream* m_default_stream = nullptr;
+  std::recursive_mutex m_mutex;
+  std::stack<std::unique_ptr<MPSEvent>> m_pool{};
+  // dictionary to associate event IDs with event objects
+  // used to retain in-use events out of the pool
+  // for torch.mps.Event() bindings.
+  std::unordered_map<id_t, MPSEventPtr> m_in_use_events{};
+  uint64_t m_event_counter = 0;
+  std::function<void(MPSEvent*)> m_default_deleter;
+
+  MPSEvent* getInUseEvent(id_t event_id, bool locked = true);
+};
+
+// shared_ptr is used to get MPSEventPool destroyed after dependent instances
+std::shared_ptr<MPSEventPool> getMPSEventPool();
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSGeneratorImpl.h

@@ -0,0 +1,52 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+
+#include <ATen/core/Generator.h>
+#include <ATen/core/PhiloxRNGEngine.h>
+#include <c10/core/GeneratorImpl.h>
+#include <c10/util/Optional.h>
+
+namespace at {
+namespace mps::detail {
+
+static const uint32_t PHILOX_STATE_N = 7;
+struct rng_data_pod {
+  std::array<uint32_t, PHILOX_STATE_N> state{1};
+  uint64_t seed = default_rng_seed_val;
+};
+
+TORCH_API const Generator& getDefaultMPSGenerator();
+TORCH_API Generator createMPSGenerator(uint64_t seed_val = default_rng_seed_val);
+
+} // namespace mps::detail
+
+struct TORCH_API MPSGeneratorImpl : public c10::GeneratorImpl {
+  // Constructors
+  MPSGeneratorImpl(uint64_t seed_in = default_rng_seed_val);
+  ~MPSGeneratorImpl() override = default;
+
+  // MPSGeneratorImpl methods
+  std::shared_ptr<MPSGeneratorImpl> clone() const;
+  void set_current_seed(uint64_t seed) override;
+  void set_offset(uint64_t offset) override;
+  uint64_t get_offset() const override;
+  uint64_t current_seed() const override;
+  uint64_t seed() override;
+  void set_state(const c10::TensorImpl& new_state) override;
+  c10::intrusive_ptr<c10::TensorImpl> get_state() const override;
+  void update_philox_counters();
+
+  void set_engine(at::Philox4_32 engine) { engine_ = engine; };
+  at::Philox4_32 engine() { return engine_; };
+  uint32_t* state_data() { return data_.state.data(); }
+  static DeviceType device_type() { return DeviceType::MPS; };
+
+private:
+  mps::detail::rng_data_pod data_;
+  at::Philox4_32 engine_;
+
+  MPSGeneratorImpl* clone_impl() const override;
+};
+
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSGuardImpl.h

@@ -0,0 +1,174 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+#include <c10/core/impl/DeviceGuardImplInterface.h>
+#include <c10/macros/Macros.h>
+#include <c10/util/Exception.h>
+#include <ATen/Context.h>
+#include <ATen/mps/MPSStream.h>
+#include <ATen/mps/MPSEvent.h>
+
+#ifdef __OBJC__
+#include <Foundation/Foundation.h>
+#include <Metal/Metal.h>
+#include <MetalPerformanceShaders/MetalPerformanceShaders.h>
+#endif
+
+#include <ATen/Tensor.h>
+#include <c10/core/MemoryFormat.h>
+#include <c10/core/Storage.h>
+#include <c10/core/TensorImpl.h>
+#include <sys/_types/_size_t.h>
+#include <memory>
+#include <c10/core/UndefinedTensorImpl.h>
+#include <c10/util/intrusive_ptr.h>
+
+
+namespace at::mps {
+
+typedef MPSEvent* mpsEvent_t;
+
+// TODO: Move the MPSGuardImpl to inherit from NoOpDeviceGuardImpl
+// https://github.com/pytorch/pytorch/issues/77170
+struct TORCH_API MPSGuardImpl final : public c10::impl::DeviceGuardImplInterface {
+  static constexpr c10::DeviceType static_type = c10::DeviceType::MPS;
+
+  // constructor
+  MPSGuardImpl() {}
+  explicit MPSGuardImpl(c10::DeviceType t) {
+    TORCH_INTERNAL_ASSERT(t == c10::DeviceType::MPS);
+  }
+
+  // returns the type
+  c10::DeviceType type() const override {
+    return c10::DeviceType::MPS;
+  }
+
+  Device exchangeDevice(Device d) const override {
+    return Device(c10::DeviceType::MPS, 0);
+  }
+
+  Device getDevice() const override {
+    return Device(c10::DeviceType::MPS, 0);
+  }
+
+  c10::optional<Device> uncheckedGetDevice() const noexcept {
+    return Device(c10::DeviceType::MPS, 0);
+  }
+
+  void setDevice(Device d) const override {
+    TORCH_INTERNAL_ASSERT(d.is_mps());
+  }
+
+  void uncheckedSetDevice(Device d) const noexcept override {
+    // TODO: Currently setting only device 0
+  }
+
+  Stream getStream(Device d) const noexcept override {
+    return Stream(Stream::DEFAULT, Device(c10::DeviceType::MPS, 0));
+  }
+
+  Stream getDefaultStream(Device d) const override {
+    return Stream(Stream::DEFAULT, Device(c10::DeviceType::MPS, 0));
+  }
+
+  // NB: These do NOT set the current device
+  Stream exchangeStream(Stream s) const noexcept override {
+    return Stream(Stream::DEFAULT, Device(c10::DeviceType::MPS, 0));
+  }
+  DeviceIndex deviceCount() const noexcept override {
+    if (at::hasMPS()) {
+      //TODO: extend it for multi-device case
+      return 1;
+    } else {
+      return 0;
+    }
+  }
+
+  // Event-related functions
+  void createEvent(
+    mpsEvent_t* event,
+    const EventFlag flag) const;
+
+  void destroyEvent(
+    void* event,
+    const DeviceIndex device_index) const noexcept override;
+
+  void record(
+    void** event,
+    const Stream& stream,
+    const DeviceIndex device_index,
+    const EventFlag flag) const override;
+
+  void block(
+    void* event,
+    const Stream& stream) const override;
+
+  bool queryEvent(void* event) const override;
+
+};
+
+/// A variant of OptionalDeviceGuard that is specialized for MPS.
+struct OptionalMPSGuard {
+  explicit OptionalMPSGuard() : guard_() {}
+
+  explicit OptionalMPSGuard(c10::optional<Device> device_opt)
+      : guard_(device_opt) {}
+
+  /// Set the current MPS device to the passed device index, if it is not
+  /// nullopt
+  explicit OptionalMPSGuard(c10::optional<DeviceIndex> device_index_opt)
+      : guard_(device_index_opt) {}
+
+  // Copy is not allowed
+  OptionalMPSGuard(const OptionalMPSGuard&) = delete;
+  OptionalMPSGuard& operator=(const OptionalMPSGuard&) = delete;
+  OptionalMPSGuard(OptionalMPSGuard&& other) = delete;
+  OptionalMPSGuard& operator=(OptionalMPSGuard&& other) = delete;
+
+  /// Sets the MPS device to the given device, initializing the guard if it
+  /// is not already initialized.  Errors if the given device is not a MPS
+  /// device.
+  void set_device(Device device) {
+    guard_.set_device(device);
+  }
+
+  /// Sets the MPS device to the given device, initializing the guard if it is
+  /// not already initialized.  Errors if the given device is not a MPS device.
+  void reset_device(Device device) {
+    guard_.reset_device(device);
+  }
+
+  /// Sets the MPS device to the given device index, initializing the guard if
+  /// it is not already initialized.
+  void set_index(DeviceIndex device_index) {
+    guard_.set_index(device_index);
+  }
+
+  /// Returns the device that was set immediately prior to initialization of the
+  /// guard, or nullopt if the guard is uninitialized.
+  c10::optional<Device> original_device() const {
+    return guard_.original_device();
+  }
+
+  /// Returns the most recent device that was set using this device guard,
+  /// either from construction, or via set_device, if the guard is initialized,
+  /// or nullopt if the guard is uninitialized.
+  c10::optional<Device> current_device() const {
+    return guard_.current_device();
+  }
+
+  /// Restore the original MPS device, resetting this guard to uninitialized
+  /// state.
+  void reset() {
+    guard_.reset();
+  }
+
+ private:
+  c10::impl::InlineOptionalDeviceGuard<MPSGuardImpl> guard_;
+};
+
+
+C10_REGISTER_GUARD_IMPL(MPS, MPSGuardImpl);
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSHooks.h

@@ -0,0 +1,51 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+
+#include <ATen/detail/MPSHooksInterface.h>
+#include <ATen/Generator.h>
+#include <ATen/mps/MPSEvent.h>
+#include <c10/util/Optional.h>
+
+namespace at::mps {
+
+// The real implementation of MPSHooksInterface
+struct MPSHooks : public at::MPSHooksInterface {
+  MPSHooks(at::MPSHooksArgs) {}
+  void initMPS() const override;
+
+  // MPSDevice interface
+  bool hasMPS() const override;
+  bool isOnMacOS13orNewer(unsigned minor) const override;
+
+  // MPSGeneratorImpl interface
+  const Generator& getDefaultMPSGenerator() const override;
+
+  // MPSStream interface
+  void deviceSynchronize() const override;
+  void commitStream() const override;
+  void* getCommandBuffer() const override;
+  void* getDispatchQueue() const override;
+
+  // MPSAllocator interface
+  Allocator* getMPSDeviceAllocator() const override;
+  void emptyCache() const override;
+  size_t getCurrentAllocatedMemory() const override;
+  size_t getDriverAllocatedMemory() const override;
+  void setMemoryFraction(double ratio) const override;
+
+  // MPSProfiler interface
+  void profilerStartTrace(const std::string& mode, bool waitUntilCompleted) const override;
+  void profilerStopTrace() const override;
+
+  // MPSEvent interface
+  uint32_t acquireEvent(bool enable_timing) const override;
+  void releaseEvent(uint32_t event_id) const override;
+  void recordEvent(uint32_t event_id) const override;
+  void waitForEvent(uint32_t event_id) const override;
+  void synchronizeEvent(uint32_t event_id) const override;
+  bool queryEvent(uint32_t event_id) const override;
+  double elapsedTimeOfEvents(uint32_t start_event_id, uint32_t end_event_id) const override;
+};
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSProfiler.h

@@ -0,0 +1,393 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+
+#include <ATen/Tensor.h>
+#include <ATen/mps/MPSStream.h>
+#include <ATen/mps/MPSAllocatorInterface.h>
+
+#include <os/signpost.h>
+#include <os/log.h>
+
+#include <sstream>
+#include <string>
+#include <atomic>
+#include <unordered_map>
+#include <utility>
+#include <ctime>
+
+namespace at::mps {
+
+namespace Profiler {
+
+struct BaseInfo {
+  // profiling info types
+  enum class Type {
+    GRAPH,
+    KERNEL,
+    COPY,
+    CPU_FALLBACK,
+  };
+
+  BaseInfo(Type infoType, uint64_t Id, const uintptr_t Handle) :
+      type(infoType), profileId(Id), handle(Handle) { }
+  virtual ~BaseInfo() = default;
+
+  // type of profiling info
+  Type type;
+  // unique profile ID for execution instances of operations or copies
+  uint64_t profileId;
+  // ID generated by os_signpost
+  // since it's possible to use event and interval-based signposts at the
+  // same time, we need separate IDs for each.
+  os_signpost_id_t eventSignpostId = 0, intervalSignpostId = 0;
+  // accumulated GPU time in ms (obtained from CompletionHandler's "GPUEndTime - GPUStartTime")
+  std::atomic<double> totalGpuTime{0.0};
+  // accumulated Scheduling time in ms (obtained from CompletionHandler's "KernelEndTime - KernelStartTime")
+  std::atomic<double> totalSchedulingTime{0.0};
+  // indicates if the operation or copy execution has completed
+  std::atomic_bool completed{false};
+  // handle used to identify the profile info's instance (usually the pointer)
+  const uintptr_t handle;
+
+  virtual const std::string toString(double gpuTime = 0, double schedulingTime = 0) const;
+  // builds a string for a tensor (format: Device:ScalarType[tensor.sizes()])
+  static std::string buildTensorString(const Tensor& tensor, bool includeBufferId = false) {
+    if (tensor.defined()) {
+      std::stringstream tensorStr;
+      auto deviceType = tensor.device().type();
+      tensorStr << c10::DeviceTypeName(deviceType);
+      // see comments for INCLUDE_BUFFER_ID
+      if (includeBufferId && deviceType == at::kMPS) {
+        id<MTLBuffer> buffer = __builtin_bit_cast(id<MTLBuffer>, tensor.storage().data());
+        tensorStr << "(buf#" << (getIMPSAllocator()->getBufferId(buffer))
+                  << ":" << buffer.retainCount << ")";
+      }
+      tensorStr << ":"
+                << tensor.scalar_type() << tensor.sizes();
+      return tensorStr.str();
+    } else {
+      return "undefined";
+    }
+  }
+  static uint64_t getTime() {
+    return clock_gettime_nsec_np(CLOCK_MONOTONIC_RAW);
+  }
+};
+
+struct OperationInfo : BaseInfo {
+  OperationInfo(const void* Handle, bool IsGraph, uint64_t Id, const std::string& StrKey) :
+      BaseInfo(IsGraph ? Type::GRAPH : Type::KERNEL, Id, uintptr_t(Handle)), strKey(StrKey) { }
+
+  uint64_t runCount = 0;
+  std::string strKey;
+
+  const std::string toString(double gpuTime = 0, double schedulingTime = 0) const override;
+
+  // builds a string for a kernel
+  static std::string buildKernelString(const std::string& kernelName,
+                                       const TensorList& tensors,
+                                       bool includeBufferId = false) {
+    std::stringstream kernelStr;
+    kernelStr << kernelName;
+    for (const Tensor& tensor: tensors) {
+      kernelStr << ":" << BaseInfo::buildTensorString(tensor, includeBufferId);
+    }
+    return kernelStr.str();
+  }
+};
+
+struct CpuFbInfo : BaseInfo {
+  CpuFbInfo(uint64_t Id, const std::string& OpName) :
+      BaseInfo(Type::CPU_FALLBACK, Id, 0), opName(OpName) { }
+
+  uint64_t runCount = 0;
+  // the current and total overhead of copies in bytes required to convert the Op's
+  // input tensors from MPS to CPU and then output from CPU back to MPS
+  size_t currentCopyOverhead = 0;
+  size_t totalCopyOverhead = 0;
+  std::string opName;
+  std::string strKey;
+  uint64_t startTime = 0;
+
+  const std::string toString(double gpuTime = 0, double schedulingTime = 0) const override;
+
+  void updateCopyOverhead(const TensorList& tensors) {
+    currentCopyOverhead = 0;
+    for (const Tensor& tensor: tensors) {
+      if (tensor.defined()) {
+        currentCopyOverhead += tensor.nbytes();
+      }
+    }
+    totalCopyOverhead += currentCopyOverhead;
+  }
+};
+
+struct CopyInfo : BaseInfo {
+  enum class Kind {
+    MPS_TO_MPS,
+    MPS_TO_CPU,
+    CPU_TO_MPS,
+  };
+
+  CopyInfo(const void* Handle, size_t Length, uint64_t Id, bool IsNonBlocking, bool UsesBlitter) :
+           BaseInfo(Type::COPY, Id, uintptr_t(Handle)), kind(Kind::MPS_TO_MPS),
+           length(Length), isNonBlocking(IsNonBlocking), usesBlitter(UsesBlitter) { }
+
+  Kind kind;
+  size_t length;
+  bool isNonBlocking;
+  bool usesBlitter;
+  std::string srcStrKey;
+  std::string dstStrKey;
+  // for copies that don't use blitters, we measure CPU time
+  uint64_t startTime = 0;
+
+  const std::string toString(double gpuTime = 0, double schedulingTime = 0) const override;
+
+  static std::string buildTensorString(const void* buffer, const OptionalTensorRef tensor, bool includeBufferId = false);
+
+  static bool isStorageOnMPS(const void* buffer, const OptionalTensorRef tensor) {
+    if (tensor.has_value()) {
+      return tensor->device().type() == at::kMPS;
+    }
+    TORCH_INTERNAL_ASSERT_DEBUG_ONLY(buffer);
+    // getUnalignedBufferSize() returns -1 if input buffer is not on MPS device
+    return getIMPSAllocator()->getUnalignedBufferSize(buffer) >= 0;
+  }
+
+  static Kind getCopyKind(const void* srcBuffer, const void* dstBuffer,
+                          const OptionalTensorRef srcTensor, const OptionalTensorRef dstTensor) {
+    const bool isSrcOnMPS = isStorageOnMPS(srcBuffer, srcTensor);
+    const bool isDstOnMPS = isStorageOnMPS(dstBuffer, dstTensor);
+    TORCH_INTERNAL_ASSERT_DEBUG_ONLY(isSrcOnMPS || isDstOnMPS);
+    if (isSrcOnMPS && !isDstOnMPS) {
+      return Kind::MPS_TO_CPU;
+    } else if (!isSrcOnMPS && isDstOnMPS) {
+      return Kind::CPU_TO_MPS;
+    }
+    return Kind::MPS_TO_MPS;
+  }
+};
+
+struct CopyStat : CopyInfo {
+  explicit CopyStat(std::string CopyKindStr) :
+          CopyInfo(nullptr, 0, 0, false, false), kindStr(std::move(CopyKindStr)) {}
+  // total number of copies
+  size_t totalCount = 0;
+  // number of Scalar copies (i.e., less than sizeof(int64))
+  size_t scalarsCount = 0;
+  // number of blocking copies (i.e., require syncing to GPU)
+  size_t blockingCount = 0;
+  // number of copies that used memcpy(), instead of Metal Blit Encoder
+  size_t memcpyCount = 0;
+  // accumulated GPU time in ms for the scalar copies
+  std::atomic<double> scalarsGpuTime{0.0};
+  // copy kind in string type
+  std::string kindStr;
+};
+
+class MPSProfiler {
+public:
+  // lower 16 bits used for profiler options
+  enum ProfileOptions : uint32_t {
+    OPTIONS_NONE = 0,
+    // ALL_* means, all signpost types (RUN_OPERATION|BLIT_COPY|CPU_FALLBACK, etc.)
+    // (used for convenience to not compute bit flags by OR-ing manually)
+    // trace all signpost types using events
+    ALL_SIGNPOST_EVENTS    = (1 << 0),
+    // trace all signpost types using intervals
+    ALL_SIGNPOST_INTERVALS = (1 << 1),
+    // always wait for command buffer to finish executing after each commit
+    WAIT_UNTIL_COMPLETED   = (1 << 2),
+    // for interval-based signposts, include the scheduling portion of
+    // Graph/Kernel/Copy executions as well.
+    // if flag is disable, only "GPU run time" is included in interval,
+    // and not schedule time.
+    INCLUDE_SCHEDULE_INTERVAL = (1 << 3),
+
+    // use these if you need to trace signposts types individually (rarely required)
+    // trace signpost using intervals
+    USE_INTERVALS = (1 << 4),
+    // trace signpost by emitting events
+    USE_EVENTS    = (1 << 5),
+    // used for sanity check (Change this when new option added)
+    OPTIONS_COUNT = (USE_EVENTS << 1) - 1,
+  };
+
+  // when adding new types, #define the type string in MPSProfiler.mm as well.
+  // upper 16 bits used for event types
+  enum SignpostTypes : uint32_t {
+    SIGNPOST_NONE = 0,
+    // trace signposts for PyTorch operation executions
+    RUN_OPERATION = (1 << 16),
+    // trace signposts for blitter copies
+    BLIT_COPY     = (1 << 17),
+    // trace signposts for ops that fall back on CPU
+    CPU_FALLBACK  = (1 << 18),
+    // used for sanity check (Change this when new type added)
+    SIGNPOST_COUNT = (CPU_FALLBACK << 1) - 1,
+  };
+
+  enum LogOptions : uint32_t {
+    LOG_NONE = 0,
+
+    // Info logging options during execution
+    // -------------------------------------
+    // prints operation info (id/key/run_count) during execution
+    OPERATION_INFO      = (1 << 0),
+    // prints copy info (src/dst tensors/buffers, size, etc.) during execution
+    COPY_INFO           = (1 << 1),
+    // prints CPU Fallback info (id/runCount/opName/copyOverhead) during execution
+    CPU_FALLBACK_INFO   = (1 << 2),
+
+    // Profiling Statistics logging options when process terminates
+    // ------------------------------------------------------------
+    // prints all stats (OPERATION_STATS, COPY_STATS, CPU_FALLBACK_STATS) before process terminates
+    // this is convenient to not combine following stats bit flags manually
+    ALL_STATS           = (1 << 3),
+    // prints operation stats (GPU times, run count, etc.) before process terminates
+    OPERATION_STATS     = (1 << 4),
+    // prints copies stats (GPU times, copy kinds, sizes, etc.) before process terminates
+    COPY_STATS          = (1 << 5),
+    // prints CPU Fallback stats (CPU times, run times, size of MPS<->CPU copies
+    // for tensors, etc.) before process terminates
+    CPU_FALLBACK_STATS  = (1 << 6),
+
+    // Metadata format options when logging the info
+    // ---------------------------------------------
+    // if enabled, includes GPU run time in metadata (i.e., GPUEndTime-GPUStartTime
+    // from Metal Command Buffers) (e.g., [GPU=0.324 ms])
+    INCLUDE_GPU_TIME    = (1 << 7),
+    // if enabled, includes GPU scheduling time in metadata separately
+    // (i.e., KernelEndTime-KernelStartTime from Metal Command Buffers)
+    // e.g., [GPU=0.324 ms, KRNL=0.036 ms]
+    INCLUDE_KERNEL_TIME = (1 << 8),
+    // if enabled, includes the unique buffer ID in metadata for the storage
+    // of a tensor that was allocated on MPSAllocator. This is useful (along with
+    // the EV "PYTORCH_DEBUG_MPS_ALLOCATOR") to identify buffers that are involved
+    // with various operations.
+    INCLUDE_BUFFER_ID   = (1 << 9),
+
+    // used for sanity check (Change this when new option added)
+    LOG_COUNT = (INCLUDE_BUFFER_ID << 1) - 1,
+  };
+
+  explicit MPSProfiler();
+  ~MPSProfiler();
+
+  // the handle is either "MPSGraph*" or "id<MTLComputePipelineState>" for Metal Kernels
+  // the beginProfile*() functions return a profileId which is unique per graph/kernel/copy
+  uint64_t beginProfileKernel(const void* handle, const std::string& strKey, bool isGraph);
+  uint64_t beginProfileKernel(const void* handle, const std::string& kernelName, const TensorList& tensors);
+  uint64_t beginProfileCopy(const void* srcBuffer, const void* dstBuffer,
+                            const OptionalTensorRef srcTensor,
+                            const OptionalTensorRef dstTensor,
+                            size_t length, bool isNonBlocking, bool usesBlitter = true);
+  uint64_t beginProfileCPUFallback(const std::string& opName, const TensorList& tensors);
+  void beginProfileGPUInterval(const void* handle);
+
+  void endProfileCopy(uint64_t profileId, SyncType syncType);
+  void endProfileKernel(const void* handle, SyncType syncType = SyncType::NONE);
+  void endProfileCPUFallback(const std::string& opName);
+
+  // these are used to hook into Python bindings for torch.mps.profiler module.
+  // this enables generating OS Signpost traces from MPSProfiler on-demand
+  // during runtime (instead of environment variables).
+  // The "mode" could be either "interval", "event", or both "interval,event"
+  // for interval-based and/or event-based signpost tracing.
+  void StartTrace(const string& mode, bool waitUntilCompleted);
+  void StopTrace();
+
+  // convenience functions to indicate whether signpost tracing or
+  // logging are enabled for the SignpostTypes
+  bool isOperationProfilingEnabled() const {
+    return (m_signpost_types & SignpostTypes::RUN_OPERATION) ||
+           (m_log_options & (LogOptions::OPERATION_INFO | LogOptions::OPERATION_STATS));
+  }
+  bool isCopyProfilingEnabled() const {
+    return (m_signpost_types & SignpostTypes::BLIT_COPY) ||
+           (m_log_options & (LogOptions::COPY_INFO | LogOptions::COPY_STATS));
+  }
+  bool isCPUFallbackProfilingEnabled() const {
+    return (m_signpost_types & SignpostTypes::CPU_FALLBACK) ||
+           (m_log_options & (LogOptions::CPU_FALLBACK_INFO | LogOptions::CPU_FALLBACK_STATS));
+  }
+  bool isSignpostTracingEnabled() const {
+    return (m_signpost_types != SignpostTypes::SIGNPOST_NONE);
+  }
+
+ private:
+  // indicates what type of signpost types are enabled and traced by MPS profiler.
+  uint32_t m_signpost_types = 0;
+  uint32_t m_profile_options = 0;
+  uint32_t m_log_options = 0;
+  uint64_t m_kernel_counter = 0;
+  uint64_t m_graph_counter = 0;
+  uint64_t m_cpu_fb_counter = 0;
+  uint64_t m_copy_counter = 0;
+  // technically, it's possible to trace both events and intervals at the same time
+  // so we use separate os_log categories for them
+  os_log_t m_os_log_events;
+  os_log_t m_os_log_intervals;
+  // stats logging could run either from destructor or signal handler
+  // so this is used to check if logging has already started.
+  std::atomic_bool hasLoggedStats{false};
+  // indicates there are pending completionHandler callbacks that haven't been called yet.
+  std::atomic_bool hasPendingCompletionHandlers{false};
+  // used to capture sigint signal to log profiling stats
+  static struct sigaction currentSigint, previousSigint;
+
+  // We use the following lists for two reasons:
+  // 1- for interval-based signposts the "begin" point won't be in same function
+  // as the "end" point where we need to be able to retrieve signpost's info
+  // 2- if Operations info need to be logged when process ends using LogOptions::OPERATION_INFO.
+
+  // the pointer key for this map is either "MPSGraph*" or "id<MTLComputePipelineState>" for Metal Kernels
+  // this list is retained and could be logged along with aggregate profiling numbers when the process ends.
+  std::unordered_map<uintptr_t, std::unique_ptr<OperationInfo>> m_op_info_list{};
+  // the string key for this map is the op name that we fall back to execute on CPU
+  // this list is retained and could be logged along with aggregate profiling numbers when the process ends.
+  std::unordered_map<std::string, std::unique_ptr<CpuFbInfo>> m_cpu_fb_info_list{};
+  // this list contains the info for copies, and its key is the unique profileId
+  // which is generated from m_copy_counter
+  // The copyInfo list is not retained.
+  std::unordered_map<uint64_t, std::unique_ptr<CopyInfo>> m_copy_info_list{};
+  // a short list that contains copy stats
+  std::unordered_map<CopyInfo::Kind, std::unique_ptr<CopyStat>> m_copy_stat_list{};
+
+  void initialize();
+  void beginProfileExecution(BaseInfo& info, bool cpuExecution = false);
+  void endProfileExecution(BaseInfo& info, os_signpost_id_t event_signpost_id,
+                           os_signpost_id_t interval_signpost_id,
+                           double gpuTime, double schedulingTime);
+  void addProfilerScheduledHandler(BaseInfo& info);
+  void addProfilerCompletedHandler(BaseInfo& info, SyncType syncType);
+  void emitSignpostEvent(SignpostTypes signpost_type, os_signpost_id_t signpost_id,
+                         const std::string& msg) const;
+  void beginSignpostInterval(SignpostTypes signpost_type, os_signpost_id_t signpost_id,
+                             const std::string& msg) const;
+  void endSignpostInterval(SignpostTypes signpost_type, os_signpost_id_t signpost_id) const;
+
+  void updateCopyStats(const CopyInfo& copyInfo, double gpuTime, double schedulingTime);
+  // returns true if logging the profiling info "during the execution" is enabled
+  bool isProfileInfoLoggingEnabled(BaseInfo::Type infoType, bool isExecutionEnded);
+  // logs all the profiling stats that are enabled
+  void logProfilingStats();
+  // logs kernel profiling stats when the process ends.
+  void logOperationsProfilingStats(std::FILE* f) const;
+  // logs CPU Fallback profiling stats when the process ends.
+  void logCPUFallbackProfilingStats(std::FILE* f) const;
+  // logs copy profiling stats when the process ends.
+  void logCopyProfilingStats(std::FILE* f) const;
+
+  os_signpost_id_t generateSignpostId(os_signpost_type_t signpostType, const void* ptr = nullptr);
+  static SignpostTypes getSignpostType(BaseInfo::Type infoType);
+  static void handleIntSignal(int signal);
+};
+
+} // namespace Profiler
+
+Profiler::MPSProfiler& getMPSProfiler();
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/mps/MPSStream.h

@@ -0,0 +1,133 @@
+//  Copyright © 2022 Apple Inc.
+
+#pragma once
+
+#include <cstdint>
+#include <utility>
+
+#include <c10/core/DeviceGuard.h>
+#include <c10/util/Exception.h>
+#include <c10/core/Stream.h>
+#include <ATen/mps/MPSDevice.h>
+
+#ifdef __OBJC__
+#include <Foundation/Foundation.h>
+#include <Metal/Metal.h>
+#include <MetalPerformanceShaders/MetalPerformanceShaders.h>
+#include <MetalPerformanceShadersGraph/MetalPerformanceShadersGraph.h>
+typedef id<MTLCommandQueue> MTLCommandQueue_t;
+typedef id<MTLCommandBuffer> MTLCommandBuffer_t;
+typedef id<MTLComputeCommandEncoder> MTLComputeCommandEncoder_t;
+typedef id<MTLSharedEvent> MTLSharedEvent_t;
+typedef id<MTLDevice> MTLDevice_t;
+#else
+typedef void* MTLCommandQueue_t;
+typedef void* MTLCommandQueue;
+typedef void* MTLCommandBuffer_t;
+typedef void* MTLCommandBuffer;
+typedef void* MTLComputeCommandEncoder_t;
+typedef void* MTLSharedEvent_t;
+typedef void* dispatch_queue_t;
+typedef void* MTLDevice_t;
+#define nil NULL;
+#endif
+
+
+namespace at::mps {
+
+//-----------------------------------------------------------------
+//  MPSStream
+//-----------------------------------------------------------------
+
+enum class SyncType {
+  NONE,               // no commit to command buffer
+  COMMIT,             // commit and flush the command buffer
+  COMMIT_AND_WAIT,    // flush and wait for command buffer execution to finish
+  COMMIT_AND_CONTINUE,// commit and continue with a new underlying command buffer
+  COMMIT_ADAPTIVE,    // commit adaptively based on available memory
+};
+
+class TORCH_API MPSStream
+{
+public:
+  enum Unchecked { UNCHECKED };
+
+  /// Construct a MPSStream from a Stream.  This construction is checked,
+  /// and will raise an error if the Stream is not, in fact, a MPS stream.
+  explicit MPSStream(Stream stream);
+
+  ~MPSStream();
+  MTLCommandQueue_t commandQueue() const { return _commandQueue; };
+  dispatch_queue_t queue() const { return _serialQueue; }
+
+  MPSCommandBuffer* commandBuffer();
+  MTLComputeCommandEncoder_t commandEncoder();
+  void endKernelCoalescing();
+  void synchronize(SyncType syncType);
+  void fill(id<MTLBuffer> buffer, uint8_t value, size_t length, size_t offset, SyncType syncType = SyncType::NONE);
+  void copy(id<MTLBuffer> srcBuffer, id<MTLBuffer> dstBuffer,
+            size_t length, size_t srcOffset, size_t dstOffset,
+            uint64_t profileId, SyncType syncType = SyncType::NONE);
+  void copy_and_sync(id<MTLBuffer> srcBuffer, id<MTLBuffer> dstBuffer,
+                     size_t length, size_t srcOffset, size_t dstOffset,
+                     bool non_blocking, uint64_t profileId);
+  void executeMPSGraph(MPSGraph* mpsGraph, NSDictionary* feeds, NSDictionary* results, SyncType syncType = SyncType::NONE);
+  void addCompletedHandler(MTLCommandBufferHandler block);
+
+  /// Get the MPS device index that this stream is associated with.
+  c10::DeviceIndex device_index() const { return _stream.device_index(); }
+
+  MTLCommandQueue_t stream() const { return _commandQueue; };
+
+  MTLDevice_t device() const { return [_commandQueue device];}
+
+  /// Explicit conversion to Stream.
+  Stream unwrap() const { return _stream; }
+
+private:
+  Stream _stream;
+  MTLCommandQueue_t _commandQueue = nil;
+  MPSCommandBuffer* _commandBuffer = nil;
+  MPSCommandBuffer* _prevCommandBuffer = nil;
+  MTLComputeCommandEncoder_t _commandEncoder = nil;
+  MPSGraphExecutionDescriptor *_executionDescriptor = nil;
+  MPSGraphCompilationDescriptor *_compilationDescriptor = nil;
+  dispatch_queue_t _serialQueue = nullptr;
+  // CommitAndContinue is enabled by default
+  bool _enableCommitAndContinue = true;
+
+  // use synchronize() to access any of these commit functions outside MPSStream
+  void commit();
+  void commitAndWait();
+  void commitAndContinue();
+  void flush();
+};
+
+/**
+ * Get the current MPS stream
+ */
+TORCH_API MPSStream* getCurrentMPSStream();
+
+/**
+ * Get the default MPS stream
+ */
+TORCH_API MPSStream* getDefaultMPSStream();
+
+//-----------------------------------------------------------------
+//  MPSStreamImpl
+//-----------------------------------------------------------------
+
+class TORCH_API MPSStreamImpl
+{
+ public:
+  /**
+   * Gets single instance of the MPSStream.
+   */
+  static MPSStream* getInstance();
+
+ private:
+  static MPSStream* _stream;
+  MPSStreamImpl();
+};
+
+} // namespace at::mps

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/CuFFTUtils.h

@@ -0,0 +1,73 @@
+#pragma once
+
+#include <ATen/Config.h>
+
+#include <string>
+#include <stdexcept>
+#include <sstream>
+#include <cufft.h>
+#include <cufftXt.h>
+
+namespace at { namespace native {
+
+// This means that max dim is 3 + 2 = 5 with batch dimension and possible
+// complex dimension
+constexpr int max_rank = 3;
+
+static inline std::string _cudaGetErrorEnum(cufftResult error)
+{
+  switch (error)
+  {
+    case CUFFT_SUCCESS:
+      return "CUFFT_SUCCESS";
+    case CUFFT_INVALID_PLAN:
+      return "CUFFT_INVALID_PLAN";
+    case CUFFT_ALLOC_FAILED:
+      return "CUFFT_ALLOC_FAILED";
+    case CUFFT_INVALID_TYPE:
+      return "CUFFT_INVALID_TYPE";
+    case CUFFT_INVALID_VALUE:
+      return "CUFFT_INVALID_VALUE";
+    case CUFFT_INTERNAL_ERROR:
+      return "CUFFT_INTERNAL_ERROR";
+    case CUFFT_EXEC_FAILED:
+      return "CUFFT_EXEC_FAILED";
+    case CUFFT_SETUP_FAILED:
+      return "CUFFT_SETUP_FAILED";
+    case CUFFT_INVALID_SIZE:
+      return "CUFFT_INVALID_SIZE";
+    case CUFFT_UNALIGNED_DATA:
+      return "CUFFT_UNALIGNED_DATA";
+    case CUFFT_INCOMPLETE_PARAMETER_LIST:
+      return "CUFFT_INCOMPLETE_PARAMETER_LIST";
+    case CUFFT_INVALID_DEVICE:
+      return "CUFFT_INVALID_DEVICE";
+    case CUFFT_PARSE_ERROR:
+      return "CUFFT_PARSE_ERROR";
+    case CUFFT_NO_WORKSPACE:
+      return "CUFFT_NO_WORKSPACE";
+    case CUFFT_NOT_IMPLEMENTED:
+      return "CUFFT_NOT_IMPLEMENTED";
+#if !defined(USE_ROCM)
+    case CUFFT_LICENSE_ERROR:
+      return "CUFFT_LICENSE_ERROR";
+#endif
+    case CUFFT_NOT_SUPPORTED:
+      return "CUFFT_NOT_SUPPORTED";
+    default:
+      std::ostringstream ss;
+      ss << "unknown error " << error;
+      return ss.str();
+  }
+}
+
+static inline void CUFFT_CHECK(cufftResult error)
+{
+  if (error != CUFFT_SUCCESS) {
+    std::ostringstream ss;
+    ss << "cuFFT error: " << _cudaGetErrorEnum(error);
+    AT_ERROR(ss.str());
+  }
+}
+
+}} // at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/ForeachMinMaxFunctors.cuh

@@ -0,0 +1,22 @@
+#pragma once
+
+#include <ATen/NumericUtils.h>
+
+namespace at::native {
+
+// std:: does not have clamp functors
+template <typename T>
+struct minimum {
+  __device__ T operator()(const T& a, const T& b) const {
+    return (_isnan(a) || a < b) ? a : b;
+  }
+};
+
+template <typename T>
+struct maximum {
+  __device__ T operator()(const T& a, const T& b) const {
+    return (_isnan(a) || a > b) ? a : b;
+  }
+};
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/MultiTensorApply.cuh

@@ -0,0 +1,379 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <ATen/cuda/CUDAContext.h>
+#include <c10/cuda/CUDAGuard.h>
+#include <ATen/native/cuda/Loops.cuh>
+#include <ATen/native/cuda/MemoryAccess.cuh>
+#include <vector>
+
+namespace at::native {
+
+namespace {
+
+static constexpr int64_t kILP = 4;
+static constexpr int64_t kChunkSize = 65536;
+static constexpr int64_t kBlockSize = 512;
+
+// TODO(crcrpar): Add `n>5` for `low prec params & their higher prec copy`
+// TensorListMetadata has to be < 4KB - the limit for kernel launch argument
+static constexpr int depth_to_max_tensors[5] = {110, 64, 48, 36, 30};
+static constexpr int depth_to_max_blocks[5] = {320, 320, 320, 320, 320};
+static constexpr int depth_to_max_tensors_scalarlist[5] = {96, 64, 48, 36, 30};
+static constexpr int depth_to_max_tensors_scalarlist_of_complex_double[2] = {
+    72,
+    60};
+
+template <typename T>
+__device__ __forceinline__ bool is_aligned(T* p) {
+  return ((uint64_t)p) % (kILP * sizeof(T)) == 0;
+}
+
+template <typename T>
+__device__ __forceinline__ void load_store(
+    T* dst,
+    T* src,
+    int64_t dst_offset,
+    int64_t src_offset) {
+  using LT = at::native::memory::aligned_vector<T, kILP>;
+  ((LT*)dst)[dst_offset] = ((LT*)src)[src_offset];
+}
+
+template <int n>
+struct TensorListMetadata {
+  const void* addresses[n][depth_to_max_tensors[n - 1]];
+  int64_t numel_for_tensor[depth_to_max_tensors[n - 1]];
+  unsigned char block_to_tensor[depth_to_max_blocks[n - 1]];
+  int block_to_chunk[depth_to_max_blocks[n - 1]];
+  int start_tensor_this_launch;
+};
+
+template <typename scalar_vals_t, int n>
+struct TensorListScalarListMetadata {
+  const void* addresses[n][depth_to_max_tensors_scalarlist[n - 1]];
+  int64_t numel_for_tensor[depth_to_max_tensors_scalarlist[n - 1]];
+  scalar_vals_t scalar_vals[depth_to_max_tensors_scalarlist[n - 1]];
+  unsigned char block_to_tensor[depth_to_max_blocks[n - 1]];
+  int block_to_chunk[depth_to_max_blocks[n - 1]];
+};
+
+// note(mkozuki): `n` of 1&2 violate the limit of cuda kernel argument size of
+// 4kb with `c10::complex<double>`
+template <>
+struct TensorListScalarListMetadata<c10::complex<double>, 1> {
+  const void* addresses[1]
+                       [depth_to_max_tensors_scalarlist_of_complex_double[0]];
+  int64_t
+      numel_for_tensor[depth_to_max_tensors_scalarlist_of_complex_double[0]];
+  c10::complex<double>
+      scalar_vals[depth_to_max_tensors_scalarlist_of_complex_double[0]];
+  unsigned char block_to_tensor[depth_to_max_blocks[1 - 1]];
+  int block_to_chunk[depth_to_max_blocks[1 - 1]];
+};
+
+template <>
+struct TensorListScalarListMetadata<c10::complex<double>, 2> {
+  const void* addresses[2]
+                       [depth_to_max_tensors_scalarlist_of_complex_double[1]];
+  int64_t
+      numel_for_tensor[depth_to_max_tensors_scalarlist_of_complex_double[1]];
+  c10::complex<double>
+      scalar_vals[depth_to_max_tensors_scalarlist_of_complex_double[1]];
+  unsigned char block_to_tensor[depth_to_max_blocks[2 - 1]];
+  int block_to_chunk[depth_to_max_blocks[2 - 1]];
+};
+
+// NOTE(crcrpar): This is a conservative resolution to handle `state_steps`
+// whose each element is `at::Tensor` of 1 element representing the number of
+// `step`s called so far.
+template <int n>
+struct FusedOptimizerTensorListMetadata {
+  const void* addresses[n][depth_to_max_tensors[n - 1]];
+  int64_t numel_for_tensor[depth_to_max_tensors[n - 1]];
+  const void* state_steps_addresses[depth_to_max_tensors_scalarlist[n - 1]];
+  unsigned char block_to_tensor[depth_to_max_blocks[n - 1]];
+  int block_to_chunk[depth_to_max_blocks[n - 1]];
+  int start_tensor_this_launch;
+};
+
+template <typename T, typename U, typename... ArgTypes>
+C10_LAUNCH_BOUNDS_1(kBlockSize)
+__global__ void multi_tensor_apply_kernel(
+    T tensorListMeta,
+    U callable,
+    ArgTypes... args) {
+  // Hand the chunk information to the user-supplied functor to process however
+  // it likes.
+  callable(kChunkSize, tensorListMeta, args...);
+}
+
+} // namespace
+
+// multi_tensor_apply enables horizontal fusion across lists of tensors.
+// For example, whereas you once had a for-loop of a + b = c, where a, b,
+// and c are individual tensors in lists as, bs, and cs, you can now with
+// fewer kernel launches compute as + bs = cs.
+//
+// You can also imagine bs to be a scalar list vs a tensor list.
+//
+// The function below takes in tensor lists, scalars, and a callable and
+// chunks up the computation to launch as few kernels as possible by iterating
+// through every "chunk" in every tensor (thus the nested for loops). In the
+// simplest case, everything gets bundled into just one kernel launch, but
+// due to blocksize constraints, we may need to launch multiple kernels.
+// Each kernel launch is defined by one tensorListMeta construct, which we
+// use to track and reset the necessary metadata for each launch.
+template <int depth, typename scalar_T, typename T, typename... ArgTypes>
+void multi_tensor_apply(
+    std::vector<std::vector<at::Tensor>>& tensor_lists,
+    at::ArrayRef<Scalar> scalars,
+    T callable,
+    ArgTypes... args) {
+  TORCH_CHECK(
+      tensor_lists.size() == depth,
+      "Number of tensor lists has to match the depth.");
+  const size_t n_tensors = tensor_lists[0].size();
+  using scalar_vals_t = typename T::opmath_t;
+  TensorListScalarListMetadata<scalar_vals_t, depth> tensorListMeta;
+
+  int loc_block_info = 0;
+  int loc_tensor_info = 0;
+  for (size_t t = 0; t < n_tensors; t++) {
+    // short-circuit to avoid adding empty tensors to tensorListMeta
+    if (tensor_lists[0][t].numel() == 0) {
+      continue;
+    }
+    tensorListMeta.scalar_vals[loc_tensor_info] = scalars[t].to<scalar_T>();
+    tensorListMeta.numel_for_tensor[loc_tensor_info] =
+        tensor_lists[0][t].numel();
+    for (int d = 0; d < depth; d++) {
+      tensorListMeta.addresses[d][loc_tensor_info] =
+          tensor_lists[d][t].const_data_ptr();
+    }
+    loc_tensor_info++;
+
+    // now we enter [chunking territory].
+    // we will launch a kernel when EITHER the blocks get filled up OR
+    // the tensors get filled up. There will always be at least one block
+    // per tensor since the zero-sized ones will not enter the loop, so
+    // the nested forloop within represents iterating through the chunks
+    // of a single tensor.
+    const auto numel = tensor_lists[0][t].numel();
+    const auto chunks = numel / kChunkSize + (numel % kChunkSize != 0);
+    for (auto chunk = 0; chunk < chunks; chunk++) {
+      tensorListMeta.block_to_tensor[loc_block_info] = loc_tensor_info - 1;
+      tensorListMeta.block_to_chunk[loc_block_info] = chunk;
+      loc_block_info++;
+
+      // a tensor is not considered full unless all its chunks have been
+      // processed
+      const bool tensors_full =
+          (loc_tensor_info == depth_to_max_tensors_scalarlist[depth - 1] &&
+           chunk == chunks - 1);
+      const bool blocks_full =
+          (loc_block_info == depth_to_max_blocks[depth - 1]);
+
+      if (tensors_full || blocks_full) {
+        multi_tensor_apply_kernel<<<
+            loc_block_info,
+            kBlockSize,
+            0,
+            at::cuda::getCurrentCUDAStream()>>>(
+            tensorListMeta, callable, args...);
+        C10_CUDA_KERNEL_LAUNCH_CHECK();
+
+        // Reset.
+        loc_block_info = 0;
+        // all chunks have already been handled in the kernel
+        if (chunk == chunks - 1) {
+          loc_tensor_info = 0;
+        } else { // blocks were full and tensor chunks remain
+          tensorListMeta.numel_for_tensor[0] =
+              tensorListMeta.numel_for_tensor[loc_tensor_info - 1];
+          tensorListMeta.scalar_vals[0] =
+              tensorListMeta.scalar_vals[loc_tensor_info - 1];
+          for (int d = 0; d < depth; d++) {
+            tensorListMeta.addresses[d][0] =
+                tensorListMeta.addresses[d][loc_tensor_info - 1];
+          }
+          loc_tensor_info = 1;
+        }
+      }
+    }
+  }
+
+  // note: [finishing what we started]
+  // if there's remaining work to be done but the tensors/blocks aren't full
+  // yet we are at the end, submit the kernel to do the work!
+  if (loc_block_info != 0) {
+    multi_tensor_apply_kernel<<<
+        loc_block_info,
+        kBlockSize,
+        0,
+        at::cuda::getCurrentCUDAStream()>>>(tensorListMeta, callable, args...);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  }
+}
+
+template <int depth, typename T, typename... ArgTypes>
+void multi_tensor_apply(
+    std::vector<std::vector<at::Tensor>>& tensor_lists,
+    T callable,
+    ArgTypes... args) {
+  TORCH_CHECK(
+      tensor_lists.size() == depth,
+      "Number of tensor lists has to match the depth.");
+  const size_t n_tensors = tensor_lists[0].size();
+  TensorListMetadata<depth> tensorListMeta;
+  tensorListMeta.start_tensor_this_launch = 0;
+
+  int loc_block_info = 0;
+  int loc_tensor_info = 0;
+  for (size_t t = 0; t < n_tensors; t++) {
+    // short-circuit to avoid adding empty tensors to tensorListMeta
+    if (tensor_lists[0][t].numel() == 0) {
+      continue;
+    }
+    tensorListMeta.numel_for_tensor[loc_tensor_info] =
+        tensor_lists[0][t].numel();
+    for (int d = 0; d < depth; d++) {
+      tensorListMeta.addresses[d][loc_tensor_info] =
+          tensor_lists[d][t].const_data_ptr();
+    }
+    loc_tensor_info++;
+
+    // see note: [chunking territory].
+    const auto numel = tensor_lists[0][t].numel();
+    const auto chunks = numel / kChunkSize + (numel % kChunkSize != 0);
+    for (auto chunk = 0; chunk < chunks; chunk++) {
+      tensorListMeta.block_to_tensor[loc_block_info] = loc_tensor_info - 1;
+      tensorListMeta.block_to_chunk[loc_block_info] = chunk;
+      loc_block_info++;
+
+      const bool tensors_full =
+          (loc_tensor_info == depth_to_max_tensors[depth - 1] &&
+           chunk == chunks - 1);
+      const bool blocks_full =
+          (loc_block_info == depth_to_max_blocks[depth - 1]);
+
+      if (tensors_full || blocks_full) {
+        multi_tensor_apply_kernel<<<
+            loc_block_info,
+            kBlockSize,
+            0,
+            at::cuda::getCurrentCUDAStream()>>>(
+            tensorListMeta, callable, args...);
+        C10_CUDA_KERNEL_LAUNCH_CHECK();
+
+        // Reset.
+        loc_block_info = 0;
+        if (chunk == chunks - 1) {
+          loc_tensor_info = 0;
+          tensorListMeta.start_tensor_this_launch = t + 1;
+        } else {
+          tensorListMeta.numel_for_tensor[0] =
+              tensorListMeta.numel_for_tensor[loc_tensor_info - 1];
+          for (int d = 0; d < depth; d++) {
+            tensorListMeta.addresses[d][0] =
+                tensorListMeta.addresses[d][loc_tensor_info - 1];
+          }
+          loc_tensor_info = 1;
+          tensorListMeta.start_tensor_this_launch = t;
+        }
+      }
+    }
+  }
+
+  // see note: [finishing what we started]
+  if (loc_block_info != 0) {
+    multi_tensor_apply_kernel<<<
+        loc_block_info,
+        kBlockSize,
+        0,
+        at::cuda::getCurrentCUDAStream()>>>(tensorListMeta, callable, args...);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  }
+}
+
+template <int depth, typename T, typename... ArgTypes>
+void multi_tensor_apply_for_fused_optimizer(
+    std::vector<std::vector<at::Tensor>>& tensor_lists,
+    at::TensorList state_steps,
+    T callable,
+    ArgTypes... args) {
+  TORCH_CHECK(
+      tensor_lists.size() == depth,
+      "Number of tensor lists has to match the depth");
+  const auto num_tensors = tensor_lists[0].size();
+  FusedOptimizerTensorListMetadata<depth> tensorListMeta;
+
+  int loc_block_info = 0;
+  int loc_tensor_info = 0;
+  for (const auto& tensor_index : c10::irange(num_tensors)) {
+    // short-circuit to avoid adding empty tensors to tensorListMeta
+    if (tensor_lists[0][tensor_index].numel() == 0) {
+      continue;
+    }
+    tensorListMeta.state_steps_addresses[loc_tensor_info] =
+        state_steps[tensor_index].const_data_ptr();
+    tensorListMeta.numel_for_tensor[loc_tensor_info] =
+        tensor_lists[0][tensor_index].numel();
+    for (const auto& d : c10::irange(depth)) {
+      tensorListMeta.addresses[d][loc_tensor_info] =
+          tensor_lists[d][tensor_index].const_data_ptr();
+    }
+    loc_tensor_info++;
+
+    // see above note: [chunking territory]
+    const auto numel = tensor_lists[0][tensor_index].numel();
+    const auto chunks = numel / kChunkSize + (numel % kChunkSize != 0);
+    TORCH_CHECK(chunks > -1);
+    for (const auto& chunk : c10::irange(chunks)) {
+      tensorListMeta.block_to_tensor[loc_block_info] = loc_tensor_info - 1;
+      tensorListMeta.block_to_chunk[loc_block_info] = chunk;
+      loc_block_info++;
+
+      const auto tensor_full =
+          (loc_tensor_info == depth_to_max_tensors[depth - 1] &&
+           chunk == chunks - 1);
+      const auto blocks_full = loc_block_info == depth_to_max_blocks[depth - 1];
+
+      if (tensor_full || blocks_full) {
+        multi_tensor_apply_kernel<<<
+            loc_block_info,
+            kBlockSize,
+            0,
+            at::cuda::getCurrentCUDAStream()>>>(
+            tensorListMeta, callable, args...);
+        C10_CUDA_KERNEL_LAUNCH_CHECK();
+
+        // Reset.
+        loc_block_info = 0;
+        if (chunk == chunks - 1) {
+          loc_tensor_info = 0;
+        } else {
+          tensorListMeta.numel_for_tensor[0] =
+              tensorListMeta.numel_for_tensor[loc_tensor_info - 1];
+          tensorListMeta.state_steps_addresses[0] =
+              tensorListMeta.state_steps_addresses[loc_tensor_info - 1];
+          for (const auto& d : c10::irange(depth)) {
+            tensorListMeta.addresses[d][0] =
+                tensorListMeta.addresses[d][loc_tensor_info - 1];
+          }
+          loc_tensor_info = 1;
+        }
+      }
+    }
+  }
+
+  // see above note: [finishing what we've started]
+  if (loc_block_info != 0) {
+    multi_tensor_apply_kernel<<<
+        loc_block_info,
+        kBlockSize,
+        0,
+        at::cuda::getCurrentCUDAStream()>>>(tensorListMeta, callable, args...);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  }
+}
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/ROCmLoops.cuh

@@ -0,0 +1,364 @@
+#pragma once
+
+// This file provides two functions to help write GPU elementwise kernels:
+//
+//   gpu_kernel(TensorIterator iter, <lambda>)
+//   gpu_kernel_with_scalars(TensorIterator iter, <lambda>)
+//
+// The gpu_kernel_with_scalars generates specializations that support a
+// single scalar CPU argument, such as from `cuda_tensor + 5`. The CPU scalar
+// is lifted to a kernel parameter instead of copying to device memory.
+// This should be  used in conjunction with TensorIterator::allow_cpu_scalars_,
+// which is the default for TensorIterator::binary_op. Otherwise, all inputs
+// and the output must be on the GPU.
+//
+// For example, to write a reciprocal kernel for GPU float Tensors:
+//
+//   gpu_kernel(iter, []GPU_LAMBDA(float a) {
+//    return 1.0f / a;
+//   });
+//
+// To write a multiplication kernel for GPU float Tensors where one argument
+// may be a CPU scalar:
+//
+//   gpu_kernel_with_scalars(iter, []GPU_LAMBDA(float a, float b) {
+//     return a * b;
+//   });
+//
+// See BinaryOpsKernel.cu for the complete implementation
+//
+
+#include <type_traits>
+
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/core/Array.h>
+#include <ATen/cuda/detail/OffsetCalculator.cuh>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/native/TensorIterator.h>
+#include <c10/macros/Macros.h>
+#include <c10/core/ScalarType.h>
+#include <c10/core/DynamicCast.h>
+
+
+#ifdef __NVCC__
+#define ASSERT_HOST_DEVICE_LAMBDA(type) \
+  static_assert(__nv_is_extended_host_device_lambda_closure_type(type), \
+                #type " must be a __host__ __device__ lambda")
+#else
+#define ASSERT_HOST_DEVICE_LAMBDA(type)
+#endif
+
+static constexpr int launch_size_1d = 512;
+static constexpr int launch_size_nd = 128;
+static constexpr int launch_bound2 = 4;
+
+
+namespace at { namespace native {
+
+// See [NOTE: Complex Operator Unification]
+// std::complex and thrust::complex don't work with some !needs_dynamic_casting optimizations.
+// They always currently map to !needs_dynamic_casting even though we sometimes rely on the ability
+// to reinterpret_cast between these representations.
+// In order to separate these concerns, we have a check for non-c10 complex separately.
+template<typename func_t, int nargs=function_traits<func_t>::arity>
+struct uses_non_c10_complex {
+  constexpr static bool check() {
+    using traits = function_traits<func_t>;
+    using type = typename traits::template arg<nargs - 1>::type;
+    constexpr bool non_c10_complex =
+        std::is_same<std::complex<float>, type>::value
+        || std::is_same<std::complex<double>, type>::value
+        || std::is_same<thrust::complex<float>, type>::value
+        || std::is_same<thrust::complex<double>, type>::value;
+
+    if constexpr (non_c10_complex) {
+      return true;
+    } else {
+      return uses_non_c10_complex<func_t, nargs - 1>::check();
+    }
+  }
+};
+
+template<typename func_t>
+struct uses_non_c10_complex<func_t, 0> {
+  constexpr static bool check() {
+    using traits = function_traits<func_t>;
+    using type = typename traits::result_type;
+    constexpr bool non_c10_complex =
+        std::is_same<std::complex<float>, type>::value
+        || std::is_same<std::complex<double>, type>::value
+        || std::is_same<thrust::complex<float>, type>::value
+        || std::is_same<thrust::complex<double>, type>::value;
+
+    return non_c10_complex;
+  }
+};
+
+// NOTE: @zasdfgbnm is currently working on rewriting the gpu loops.
+// Some of the old codes has been moved to namespace legacy, and
+// new codes will be put into namespace modern. These two namespaces
+// will coexists for a while until the rewrite is done. Once the rewrite
+// is done, we will remove the legacy and modern namespace and everything
+// will be in at::native directly.
+namespace legacy {
+
+template<int nt, int vt, typename func_t>
+C10_LAUNCH_BOUNDS_2(nt, launch_bound2)
+__global__ void elementwise_kernel(int N, func_t f) {
+  int tid = threadIdx.x;
+  int nv = nt * vt;
+  int idx = nv * blockIdx.x + tid;
+  #pragma unroll
+  for (int i = 0; i < vt; i++) {
+    if (idx < N) {
+      f(idx);
+      idx += nt;
+    }
+  }
+}
+
+template<int nt, int vt, typename func_t>
+static void launch_kernel(int64_t N, const func_t& f) {
+  TORCH_INTERNAL_ASSERT(N >= 0 && N <= std::numeric_limits<int32_t>::max());
+  if (N == 0) {
+    return;
+  }
+  dim3 block(nt);
+  dim3 grid((N + block.x * vt - 1) / (block.x * vt));
+  auto stream = at::cuda::getCurrentCUDAStream();
+  elementwise_kernel<nt, vt, func_t><<<grid, block, 0, stream>>>(N, f);
+  C10_CUDA_KERNEL_LAUNCH_CHECK();
+}
+
+template <typename traits, typename func_t, typename index_t, size_t... INDEX>
+C10_HOST_DEVICE typename traits::result_type
+invoke_impl(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], int i,
+            std::index_sequence<INDEX...>) {
+  return f(c10::load<typename traits::template arg<INDEX>::type>(data[INDEX] + i * strides[INDEX])...);
+}
+
+template <typename func_t, typename index_t, typename traits = function_traits<func_t>>
+C10_HOST_DEVICE typename traits::result_type
+invoke(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], int i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return invoke_impl<traits>(f, data, strides, i, Indices{});
+}
+
+template <typename traits, typename func_t, typename index_t, size_t... I>
+C10_HOST_DEVICE typename traits::result_type
+invoke_impl(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], const ScalarType dtypes[], int i,
+            std::index_sequence<I...>) {
+  return f(c10::fetch_and_cast<typename traits::template arg<I>::type>(dtypes[I], data[I] + i * strides[I])...);
+}
+
+template <typename func_t, typename index_t, typename traits = function_traits<func_t>>
+C10_HOST_DEVICE typename traits::result_type
+invoke(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], const ScalarType dtypes[], int i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return invoke_impl<traits>(f, data, strides, dtypes, i, Indices{});
+}
+
+} // namespace legacy
+
+// See the note for namespace legacy above.
+namespace modern {
+
+namespace detail {
+
+template <typename func_t, typename array_t, std::size_t... I>
+__device__ inline constexpr decltype(auto) invoke_with_array_impl(func_t f, array_t t, std::index_sequence<I...>)
+{
+    return f(t[I]...);
+}
+template <typename func_t, typename array_t>
+__device__ inline constexpr decltype(auto) invoke_with_array(func_t f, array_t a) {
+  constexpr auto arity = function_traits<func_t>::arity;
+  return invoke_with_array_impl(f, a, std::make_index_sequence<arity>{});
+}
+
+namespace arg_type {
+
+// We need a way to compute the argument type of a function. But
+// for nullary function, it does not really have an argument type
+// in this case, we still need to return a valid type, but we don't
+// really care what type this is.
+
+struct dont_care {};
+
+template <typename func_t, std::size_t arity>
+struct arg_type_helper {
+  using type = typename function_traits<func_t>::template arg<0>::type;
+};
+
+template <typename func_t>
+struct arg_type_helper<func_t, 0> {
+  using type = dont_care;
+};
+
+template <typename func_t>
+using type = typename arg_type_helper<func_t, function_traits<func_t>::arity>::type;
+
+}  // namespace arg_type
+
+template<typename func_t, int remaining=function_traits<func_t>::arity-1>
+struct has_same_arg_types {
+  using traits = function_traits<func_t>;
+  static constexpr bool value = std::is_same<
+      typename traits::template arg<remaining>::type,
+      typename traits::template arg<remaining-1>::type
+    >::value && has_same_arg_types<func_t, remaining-1>::value;
+};
+
+template<typename func_t>
+struct has_same_arg_types<func_t, 0> {
+  static constexpr bool value = true;
+};
+
+template<typename func_t>
+struct has_same_arg_types<func_t, -1> {
+  static constexpr bool value = true;
+};
+
+}  // namespace detail
+
+template<typename func_t, typename array_t>
+C10_LAUNCH_BOUNDS_1(num_threads())
+__global__ void elementwise_kernel(int N, func_t f, array_t data) {
+  // Assumption:
+  // 1. all arguments of `f` have the same type, which could be different from the return type of `f`
+  // 2. all tensors are contiguous, that is: stride == sizeof(type) for all tensors
+
+  using traits = function_traits<func_t>;
+  using return_t = typename traits::result_type;
+  using arg_t = detail::arg_type::type<func_t>;
+  constexpr int arity = traits::arity;
+
+  // We need to create array to hold all the arguments, for nullary `f`, this means array of size 0.
+  // Unfortunately the compiler don't allow us to create array of 0 size, so for this case, we create
+  // an array of size 1 and just don't use it.
+  constexpr int nargs = traits::arity == 0 ? 1 : traits::arity;
+
+  int tid = threadIdx.x;
+  int idx = block_work_size() * blockIdx.x + tid;
+
+  // compute base pointers
+  return_t *result_base = reinterpret_cast<return_t *>(data[0]) + idx;
+  arg_t *args_base[nargs];
+  #pragma unroll
+  for (int i = 0; i < arity; i++) {
+    args_base[i] = reinterpret_cast<arg_t *>(data[i + 1]) + idx;
+  }
+
+  // fetch data
+  return_t results[thread_work_size()];
+  arg_t args[thread_work_size()][nargs];
+  #pragma unroll
+  for (int i = 0; i < thread_work_size(); i++) {
+    if (idx + num_threads() * i < N) {
+      #pragma unroll
+      for (int j = 0; j < arity; j++) {
+        args[i][j] = c10::load(args_base[j] + i * num_threads());
+      }
+    }
+  }
+
+  // compute
+  #pragma unroll
+  for (int i = 0; i < thread_work_size(); i++) {
+    if (idx + num_threads() * i < N) {
+      results[i] = detail::invoke_with_array<func_t, arg_t[nargs]>(f, args[i]);
+    }
+  }
+
+  // store data
+  #pragma unroll
+  for (int i = 0; i < thread_work_size(); i++) {
+    if (idx + num_threads() * i < N) {
+      *(result_base + i * num_threads()) = results[i];
+    }
+  }
+}
+
+// TODO (@zasdfgbnm): this function assume trivial 1d and no dynamic casting
+template<typename func_t, typename array_t, std::enable_if_t<detail::has_same_arg_types<func_t>::value, int> = 0>
+static void launch_kernel(int64_t N, const func_t& f, array_t data) {
+  TORCH_INTERNAL_ASSERT(N >= 0 && N <= std::numeric_limits<int32_t>::max());
+  if (N == 0) {
+    return;
+  }
+  int64_t grid = (N + block_work_size() - 1) / block_work_size();
+  auto stream = at::cuda::getCurrentCUDAStream();
+  elementwise_kernel<func_t, array_t><<<grid, num_threads(), 0, stream>>>(N, f, data);
+  C10_CUDA_KERNEL_LAUNCH_CHECK();
+}
+
+template<typename func_t, typename array_t, std::enable_if_t<!detail::has_same_arg_types<func_t>::value, int> = 0>
+static void launch_kernel(int64_t N, const func_t& f, array_t data) {}
+
+} // namespace modern
+
+
+template <typename func_t>
+void gpu_kernel_impl(TensorIteratorBase& iter, const func_t& f) {
+  using traits = function_traits<func_t>;
+  using arg0_t = typename traits::result_type;
+  constexpr int ntensors = traits::arity + 1;
+
+  TORCH_INTERNAL_ASSERT(iter.can_use_32bit_indexing());
+  TORCH_INTERNAL_ASSERT(iter.ntensors() == traits::arity + 1);
+  bool non_c10_complex = uses_non_c10_complex<func_t>::check();
+
+  at::detail::Array<char*, ntensors> data;
+  for (int i = 0; i < ntensors; i++) {
+    data[i] = (char*)iter.data_ptr(i);
+  }
+
+  at::detail::Array<ScalarType, ntensors> dtypes;
+  for (int i = 0; i < ntensors; i++) {
+    dtypes[i] = iter.dtype(i);
+  }
+
+  int64_t numel = iter.numel();
+  if (iter.is_trivial_1d()) {
+    auto inner_strides = iter.get_inner_strides();
+    at::detail::Array<int, ntensors> strides;
+    for (int i = 0; i < ntensors; i++) {
+      strides[i] = inner_strides[i];
+    }
+
+    // TODO: can non_c10_complex go through the other path?  Need to verify.
+    if (needs_dynamic_casting<func_t>::check(iter) || non_c10_complex) {
+      legacy::launch_kernel<launch_size_1d, 1>(numel, [=]GPU_LAMBDA(int idx) {
+        void* out = data[0] + strides[0] * idx;
+        arg0_t result = legacy::invoke(f, &data.data[1], &strides.data[1], &dtypes.data[1], idx);
+        c10::cast_and_store<arg0_t>(dtypes[0], out, result);
+      });
+    } else if (iter.has_contiguous_first_dim() && modern::detail::has_same_arg_types<func_t>::value) {
+      modern::launch_kernel(numel, f, data);
+    } else {
+      legacy::launch_kernel<launch_size_1d, 1>(numel, [=]GPU_LAMBDA(int idx) {
+        arg0_t* out = (arg0_t*)(data[0] + strides[0] * idx);
+        *out = legacy::invoke(f, &data.data[1], &strides.data[1], idx);
+      });
+    }
+  } else {
+    auto offset_calc = ::make_offset_calculator<traits::arity + 1>(iter);
+    // TODO: can non_c10_complex go through the other path?  Need to verify.
+    if (needs_dynamic_casting<func_t>::check(iter) || non_c10_complex) {
+      legacy::launch_kernel<launch_size_nd, launch_bound2>(numel, [=]GPU_LAMBDA(int idx) {
+        auto offsets = offset_calc.get(idx);
+        void* out = data[0] + offsets[0];
+        arg0_t result = legacy::invoke(f, &data.data[1], &offsets.data[1], &dtypes.data[1], 1);
+        c10::cast_and_store<arg0_t>(dtypes[0], out, result);
+      });
+    } else {
+      legacy::launch_kernel<launch_size_nd, launch_bound2>(numel, [=]GPU_LAMBDA(int idx) {
+        auto offsets = offset_calc.get(idx);
+        arg0_t* out = (arg0_t*)(data[0] + offsets[0]);
+        *out = legacy::invoke(f, &data.data[1], &offsets.data[1], 1);
+      });
+    }
+  }
+}
+
+}} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/ReduceOps.h

@@ -0,0 +1,20 @@
+
+namespace at {
+struct TensorIterator;
+}
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at { namespace native {
+
+void norm_launch_kernel(TensorIterator &iter, double val);
+void min_launch_kernel(TensorIterator &iter);
+void max_launch_kernel(TensorIterator &iter);
+void aminmax_launch_kernel(TensorIterator &iter);
+void min_all_launch_kernel(TensorIterator &iter);
+void max_all_launch_kernel(TensorIterator &iter);
+void aminmax_allreduce_launch_kernel(TensorIterator &iter);
+
+}}  // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/TensorModeKernel.h

@@ -0,0 +1,19 @@
+#pragma once
+#include <cstdint>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at {
+namespace native {
+
+void launch_fused_mode_kernel(
+    const TensorBase &values, const TensorBase &indices,
+    const TensorBase &self, int64_t slice_size, int64_t slices);
+
+void launch_apply_mode_kernel(
+    const TensorBase &values, const TensorBase &indices,
+    const TensorBase &self, int64_t dim, int64_t ndim);
+
+}}  // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/TensorTopK.h

@@ -0,0 +1,14 @@
+#pragma once
+#include <cstdint>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at {
+namespace native {
+void launch_gather_topk_kernel(
+    const TensorBase& self,
+    int64_t k, int64_t dim, bool largest,
+    const TensorBase& values, const TensorBase& indices);
+}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/UniqueCub.cuh

@@ -0,0 +1,16 @@
+#include <ATen/core/Tensor.h>
+
+namespace at {
+namespace native {
+namespace internal {
+
+template <typename scalar_t>
+std::tuple<Tensor, Tensor, Tensor> unique_cuda_template(
+    const Tensor& self,
+    const bool consecutive,
+    const bool return_inverse,
+    const bool return_counts);
+
+} // namespace internal
+} // namespace at
+} // namespace native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/block_reduce.cuh

@@ -0,0 +1,105 @@
+#pragma once
+
+#include <thrust/tuple.h>
+
+#include <ATen/native/SharedReduceOps.h>
+#include <ATen/cuda/DeviceUtils.cuh>
+
+namespace at {
+namespace native {
+namespace cuda_utils {
+
+constexpr int kCUDABlockReduceNumThreads = 512;
+// Algorithmic limitation: BlockReduce does two WarpReduce calls, each
+// of which reduces C10_WARP_SIZE elements. So, at most
+// C10_WARP_SIZE**2 elements can be reduced at a time.
+// NOTE: This is >= the max block size on current hardware anyway (1024).
+constexpr int kCUDABlockReduceMaxThreads = C10_WARP_SIZE * C10_WARP_SIZE;
+
+// Sums `val` accross all threads in a warp.
+//
+// Assumptions:
+//   - The size of each block should be a multiple of `C10_WARP_SIZE`
+template <typename T>
+__inline__ __device__ T WarpReduceSum(T val) {
+#pragma unroll
+  for (int offset = (C10_WARP_SIZE >> 1); offset > 0; offset >>= 1) {
+    val += WARP_SHFL_DOWN(val, offset);
+  }
+  return val;
+}
+
+struct Block1D {
+    static __forceinline__ __device__ int Tid() { return threadIdx.x; }
+
+    static __forceinline__ __device__ int Warps() {
+        return blockDim.x / C10_WARP_SIZE;
+    }
+};
+
+struct Block2D {
+    static __forceinline__ __device__ int Tid() {
+        return threadIdx.x + threadIdx.y * blockDim.x;
+    }
+
+    static __forceinline__ __device__ int Warps() {
+        return blockDim.x * blockDim.y / C10_WARP_SIZE;
+    }
+};
+
+// Sums `val` across all threads in a block.
+//
+// Warning: the return value is only valid for thread 0.
+// Assumptions:
+//   - The size of each block should be a multiple of `C10_WARP_SIZE`
+//   - `shared` should be a pointer to shared memory with size of, at least,
+//     `sizeof(T) * number_of_warps`
+template <typename T, typename B = Block1D>
+__inline__ __device__ T BlockReduceSum(T val, T* shared) {
+  const int tid = B::Tid();
+  const int lid = tid % C10_WARP_SIZE;
+  const int wid = tid / C10_WARP_SIZE;
+  val = WarpReduceSum(val);
+  __syncthreads(); // prevent races when BlockReduces are called in a row.
+  if (lid == 0) {
+    shared[wid] = val;
+  }
+  __syncthreads();
+  val = (tid < B::Warps()) ? shared[lid] : T(0);
+  if (wid == 0) {
+    val = WarpReduceSum(val);
+  }
+  return val;
+}
+
+template <typename T, class ReduceOp>
+__inline__ __device__ T WarpReduce(T val, const ReduceOp& op) {
+#pragma unroll
+  for (int offset = (C10_WARP_SIZE >> 1); offset > 0; offset >>= 1) {
+    val = op.combine(val, op.warp_shfl_down(val, offset));
+  }
+  return val;
+}
+
+template <typename T, class ReduceOp, typename B = Block1D>
+__inline__ __device__ T
+BlockReduce(T val, const ReduceOp& op, const T& identity_element, T* shared) {
+  const int tid = B::Tid();
+  const int lid = tid % C10_WARP_SIZE;
+  const int wid = tid / C10_WARP_SIZE;
+  val = WarpReduce(val, op);
+  __syncthreads(); // prevent races when BlockReduces are called in a row.
+  if (lid == 0) {
+    shared[wid] = val;
+  }
+  __syncthreads();
+  val = (tid < B::Warps()) ? shared[lid] : identity_element;
+  if (wid == 0) {
+    val = WarpReduce(val, op);
+  }
+  return val;
+}
+
+} // namespace cuda_utils
+} // namespace native
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/jit_utils.h

@@ -0,0 +1,215 @@
+#pragma once
+
+#include <string>
+#include <sstream>
+#include <unordered_map>
+#include <vector>
+
+#include <c10/util/irange.h>
+#include <ATen/jit_macros.h>
+#include <ATen/cuda/detail/LazyNVRTC.h>
+
+namespace at { namespace cuda { namespace jit {
+
+enum class BinaryFuncVariant {NoScalar, RhsScalar, LhsScalar};
+
+struct NvrtcFunction {
+  CUmodule module = CUmodule();
+  CUfunction function = nullptr;
+};
+
+struct KernelDescriptor {
+  std::string name;
+  std::string f;
+  c10::ScalarType f_inputs_type;
+  c10::ScalarType result_type;
+  c10::SmallVector<c10::ScalarType> extra_args_types;
+  int nInputs, nOutputs;
+};
+
+// Helper function to return a vector<string>
+// corresponding to the type of the arguments in parameter pack.
+template <typename... Args>
+c10::SmallVector<at::ScalarType> get_extra_args_types() {
+  return {c10::CppTypeToScalarType<Args>::value ...};
+}
+
+template <
+  typename result_type,
+  typename f_inputs_type,
+  typename... ExtraArgs>
+KernelDescriptor make_kernel_descriptor(
+    std::string name,
+    std::string f,
+    int nInputs,
+    int nOutputs) {
+  KernelDescriptor ret;
+  ret.name = std::move(name);
+  ret.f = std::move(f);
+  ret.f_inputs_type = c10::CppTypeToScalarType<f_inputs_type>::value;
+  ret.result_type = c10::CppTypeToScalarType<result_type>::value;
+  ret.extra_args_types = get_extra_args_types<ExtraArgs...>();
+  ret.nInputs = nInputs;
+  ret.nOutputs = nOutputs;
+  return ret;
+}
+
+inline int can_vectorize_up_to(size_t default_alignment, void *pointer) {
+  auto ip = reinterpret_cast<uintptr_t>(pointer);
+  if (ip % (4 * default_alignment) == 0) {
+    return 4;
+  }
+  if (ip % (2 * default_alignment) == 0) {
+    return 2;
+  }
+  return 1;
+}
+
+inline int can_vectorize_up_to(const KernelDescriptor &desc, c10::ArrayRef<char*> pointers) {
+  TORCH_INTERNAL_ASSERT(desc.nOutputs == 1);
+  TORCH_INTERNAL_ASSERT(static_cast<int64_t>(pointers.size()) == 1 + desc.nInputs);
+
+  // Deals with output
+  auto result_size = c10::scalarTypeToTypeMeta(desc.result_type).itemsize();
+  int result = can_vectorize_up_to(result_size, pointers[0]);
+
+  // Incorporates input(s)
+  auto input_size = c10::scalarTypeToTypeMeta(desc.f_inputs_type).itemsize();
+  for (auto i : c10::irange(1, pointers.size())) {
+    result = std::min(result, can_vectorize_up_to(input_size, pointers[i]));
+  }
+
+  return result;
+}
+
+std::string generate_code(
+    int nInputs,
+    int nOutputs,
+    const std::string& func,
+    const std::string& name,
+    const std::string& f_input_type,
+    const std::string& compute_type,
+    const std::string& result_type,
+    bool contiguous,
+    bool dynamic_casting,
+    BinaryFuncVariant scalar_pos,
+    c10::SmallVector<std::string>& extra_args_typenames,
+    bool vectorized=false,
+    int vec_size=0,
+    bool return_by_ref=false);
+
+std::string generate_code(
+    const KernelDescriptor &desc,
+    bool contiguous,
+    bool dynamic_casting,
+    BinaryFuncVariant scalar_pos,
+    bool vectorized=false,
+    int vec_size=0,
+    bool return_by_ref=false);
+
+std::string generate_reduction_code(
+    int nOutputs,
+    const std::string& func,
+    const std::string& name,
+    const int vt0,
+    const std::string& f_inputs_type,
+    const std::string& reduction_accum_type,
+    const std::string& result_type,
+    bool contiguous,
+    bool vectorized,
+    int vec_size,
+    int max_threads_codegen);
+
+std::string generate_reduction_code(
+    const KernelDescriptor &desc,
+    const int vt0,
+    bool contiguous,
+    bool vectorized,
+    int vec_size,
+    int max_threads_codegen);
+
+NvrtcFunction jit_pwise_function(
+    const std::string& code,
+    const std::string& kernel_name);
+
+void launch_jitted_pwise_function(
+    NvrtcFunction function,
+    void* args[],
+    const dim3 nBlocks,
+    const dim3 kBlockSize,
+    const int smem=0);
+
+template <typename T>
+struct delayed_false : std::false_type {
+};
+
+// Defines type names
+// NOTE: General case is instantiated only for invalid types.
+// All the valid types have specialization using the TYPE_NAME_FN
+// macro below.
+template <typename T>
+inline std::string typeName() {
+  // we can't use static_assert(false) directly as the
+  // program will be not compiled even if the template is not
+  // instantiated, so we use `delayed_false`
+  // to make sure compiler doesn't eagerly raise
+  // fail this assertion.
+  static_assert(delayed_false<T>::value, "invalid type for jiterator");
+  return "void";
+}
+
+#define TYPE_NAME_FN(ctype, name) \
+template <> inline std::string typeName<ctype>(){ \
+    return std::string(#ctype);    \
+}
+
+AT_FORALL_SCALAR_TYPES(TYPE_NAME_FN)
+#undef TYPE_NAME_FN
+// JIT uses std::complex directly, because nvRTC compile programs
+// with -default-device, so there is no such issue like:
+//   "std::sin(complex) is __host__ only"
+template <> inline std::string typeName<bool>(){
+    return "bool";
+}
+template <> inline std::string typeName<c10::complex<at::Half>>(){
+    return "std::complex<at::Half>";
+}
+template <> inline std::string typeName<c10::complex<float>>(){
+    return "std::complex<float>";
+}
+template <> inline std::string typeName<c10::complex<double>>(){
+    return "std::complex<double>";
+}
+template <> inline std::string typeName<at::Half>(){
+    return "at::Half";
+}
+template <> inline std::string typeName<at::BFloat16>(){
+    return "at::BFloat16";
+}
+template <> inline std::string typeName<at::Float8_e5m2>(){
+    return "at::Float8_e5m2";
+}
+template <> inline std::string typeName<at::Float8_e4m3fn>(){
+    return "at::Float8_e4m3fn";
+}
+template <> inline std::string typeName<at::Float8_e5m2fnuz>() {
+    return "at::Float8_e5m2fnuz";
+}
+template <> inline std::string typeName<at::Float8_e4m3fnuz>() {
+    return "at::Float8_e4m3fnuz";
+}
+
+#define TYPE_NAME_CASE(ctype, scalartype)                    \
+  case ScalarType::scalartype:  return typeName<ctype>();
+inline std::string typeName(ScalarType t) {
+    switch (t) {
+      AT_FORALL_SCALAR_TYPES_WITH_COMPLEX(TYPE_NAME_CASE)
+      default:
+          TORCH_CHECK(false, "invalid type for jiterator");
+    }
+}
+#undef TYPE_NAME_CASE
+
+TORCH_CUDA_CPP_API void initializeCudaContext();
+
+}}}  // namespace at::cuda::jit

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/quantized/cpu/BinaryOps.h

@@ -0,0 +1,8 @@
+#include <ATen/core/Tensor.h>
+
+namespace at {
+namespace native {
+TORCH_API Tensor
+quantized_add(Tensor qa, Tensor qb, double scale, int64_t zero_point);
+}
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/quantized/cpu/QuantizedOps.h

@@ -0,0 +1,258 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <ATen/core/IListRef.h>
+#include <ATen/Dispatch.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/native/Activation.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+namespace native {
+
+using qrelu_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/);
+using qrelu_leaky_fn = void (*)(Tensor& /*out*/, const Tensor& /*qx*/,
+                                const Scalar& /*negval_*/);
+using qgelu_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/, GeluType /* approximate */);
+using qsigmoid_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/, double output_scale, int64_t output_zero_point);
+using qhardsigmoid_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/);
+using qclamp_fn = void (*)(
+    const at::Tensor& /*qx*/,
+    const Scalar& min,
+    const Scalar& max,
+    at::Tensor& /*qy*/);
+using qclamp_minmax_fn = void (*)(
+    const at::Tensor& /*qx*/,
+    const Scalar& /*min or max*/,
+    at::Tensor& /*qy*/);
+using qthreshold_fn = void (*)(
+    const at::Tensor& /*qx*/,
+    const Scalar& threshold,
+    const Scalar& value,
+    at::Tensor& /*qy*/);
+using qtanh_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/);
+using qelu_fn = void(*)(
+    const at::Tensor& /*qx*/,
+    const Scalar& /*alpha*/,
+    const Scalar& /*scale*/,
+    const Scalar& /*input_scale*/,
+    at::Tensor& /*qy*/);
+using qbinary_fn =
+    void (*)(Tensor& /*out*/, const Tensor& /*self*/, const Tensor& /*other*/);
+using qadd_scalar_fn =
+    void (*)(Tensor& /*out*/, const Tensor& /*self*/, const Scalar& other /*other*/);
+using qhardswish_fn = void (*)(const at::Tensor& /*qx*/, at::Tensor& /*qy*/);
+using qdropout_fn = void(*)(
+    const at::Tensor& /*qx*/,
+    const Scalar& /*p*/,
+    bool training /*training*/,
+    at::Tensor& /*qy*/);
+using qmaxpool_2d_fn = void (*)(
+    const Tensor& qx,
+    int64_t iC, // input/output channels
+    int64_t iH,
+    int64_t iW, // input sizes
+    int64_t oH,
+    int64_t oW, // output sizes
+    int64_t kH,
+    int64_t kW, // kernel size
+    int64_t sH,
+    int64_t sW, // strides
+    int64_t pH,
+    int64_t pW, // padding
+    int64_t dH,
+    int64_t dW, // dilation
+    Tensor& qy);
+using qmaxpool_3d_fn = void (*)(
+    const Tensor& qx,
+    int64_t iC, // input/output channels
+    int64_t iT,
+    int64_t iH,
+    int64_t iW, // input sizes
+    int64_t oT,
+    int64_t oH,
+    int64_t oW, // output sizes
+    int64_t kT,
+    int64_t kH,
+    int64_t kW, // kernel size
+    int64_t sT,
+    int64_t sH,
+    int64_t sW, // strides
+    int64_t pT,
+    int64_t pH,
+    int64_t pW, // padding
+    int64_t dT,
+    int64_t dH,
+    int64_t dW, // dilation
+    Tensor& qy);
+using qadaptive_avg_pool2d_fn = void (*)(
+    const Tensor& qx,
+    Tensor& qy,
+    int64_t sizeB,
+    int64_t sizeC,
+    int64_t isizeH,
+    int64_t isizeW,
+    int64_t osizeH,
+    int64_t osizeW,
+    int64_t istrideB,
+    int64_t istrideC,
+    int64_t istrideH,
+    int64_t istrideW);
+using qadaptive_avg_pool3d_fn = void (*)(
+    const Tensor& qx,
+    Tensor& qy,
+    int64_t sizeB,
+    int64_t sizeC,
+    int64_t isizeD,
+    int64_t isizeH,
+    int64_t isizeW,
+    int64_t osizeD,
+    int64_t osizeH,
+    int64_t osizeW,
+    int64_t istrideB,
+    int64_t istrideC,
+    int64_t istrideD,
+    int64_t istrideH,
+    int64_t istrideW);
+using qavg_pool2d_fn = void (*)(
+    const Tensor& qx,
+    Tensor& qy,
+    int64_t nBatch,
+    int64_t nInputPlane,
+    int64_t inputWidth,
+    int64_t inputHeight,
+    int64_t outputWidth,
+    int64_t outputHeight,
+    int kW,
+    int kH,
+    int dW,
+    int dH,
+    int padW,
+    int padH,
+    bool count_include_pad,
+    c10::optional<int64_t> divisor_override);
+
+using qavg_pool3d_fn = void (*)(
+    const Tensor& qx,
+    Tensor& qy,
+    int64_t nBatch,
+    int64_t nInputPlane,
+    int64_t inputWidth,
+    int64_t inputHeight,
+    int64_t inputDepth,
+    int64_t outputWidth,
+    int64_t outputHeight,
+    int64_t outputDepth,
+    int kW,
+    int kH,
+    int kD,
+    int dW,
+    int dH,
+    int dD,
+    int padW,
+    int padH,
+    int padD,
+    bool count_include_pad,
+    c10::optional<int64_t> divisor_override);
+
+using qupsample_bilinear2d_fn = void (*)(
+    Tensor& output,
+    const Tensor& input,
+    int64_t input_height,
+    int64_t input_width,
+    int64_t output_height,
+    int64_t output_width,
+    int64_t nbatch,
+    int64_t channels,
+    bool align_corners,
+    c10::optional<double> scales_h,
+    c10::optional<double> scales_w);
+
+using qcat_nhwc_fn = Tensor (*)(
+    const MaterializedITensorListRef& qxs,
+    int64_t dim,
+    double scale,
+    int64_t zero_point);
+using qtopk_fn = void(*)(Tensor&, Tensor&, const Tensor&, int64_t, int64_t, bool, bool);
+
+using qbatch_norm_fn = void(*)(int64_t, int64_t, int64_t, int64_t, int64_t, const Tensor&, const Tensor&, const Tensor&, Tensor&);
+
+using qnormalize_fn = void (*)(
+    const Tensor& /* X */,
+    const Tensor& /* gamma */,
+    const Tensor& /* beta */,
+    bool /* affine_per_channel */,
+    int /* num_channels */,
+    int /* num_groups */,
+    int64_t /* M */,
+    int64_t /* N */,
+    double /* eps */,
+    Tensor* /* Y */);
+
+using qmean_inner_dim_fn = void (*)(
+    const Tensor& /* X */,
+    OptionalIntArrayRef /* opt_dim */,
+    bool /* keepdim */,
+    c10::optional<ScalarType> /* opt_dtype */,
+    Tensor& /* Y */);
+
+using qstd_inner_dim_fn = void (*)(
+    const Tensor& /* X */,
+    OptionalIntArrayRef /* dim */,
+    const c10::optional<Scalar>& /* correction */,
+    bool /* keepdim */,
+    Tensor& /* Y */);
+
+using qnormalize_nhwc_fn = void (*)(
+    const Tensor& /* X */,
+    const Tensor& /* gamma */,
+    const Tensor& /* beta */,
+    bool /* affine_per_channel */,
+    int /* num_channels */,
+    int /* num_groups */,
+    int64_t /* M */,
+    int64_t /* N */,
+    double /* eps */,
+    Tensor* /* Y */);
+
+using qprelu_fn = void (*)(Tensor& /*out*/, const Tensor& /*qx*/,
+                           const Tensor& /*qw*/);
+
+DECLARE_DISPATCH(qadaptive_avg_pool2d_fn, qadaptive_avg_pool2d_nhwc_stub);
+DECLARE_DISPATCH(qadaptive_avg_pool3d_fn, qadaptive_avg_pool3d_ndhwc_stub);
+DECLARE_DISPATCH(qadd_scalar_fn, qadd_scalar_relu_stub);
+DECLARE_DISPATCH(qadd_scalar_fn, qadd_scalar_stub);
+DECLARE_DISPATCH(qavg_pool2d_fn, qavg_pool2d_nhwc_stub);
+DECLARE_DISPATCH(qavg_pool3d_fn, qavg_pool3d_nhwc_stub);
+DECLARE_DISPATCH(qbatch_norm_fn, qbatch_norm_relu_stub);
+DECLARE_DISPATCH(qbatch_norm_fn, qbatch_norm_stub);
+DECLARE_DISPATCH(qbinary_fn, qadd_relu_stub);
+DECLARE_DISPATCH(qbinary_fn, qadd_stub);
+DECLARE_DISPATCH(qbinary_fn, qmul_relu_stub);
+DECLARE_DISPATCH(qbinary_fn, qmul_stub);
+DECLARE_DISPATCH(qcat_nhwc_fn, qcat_nhwc_stub);
+DECLARE_DISPATCH(qcat_nhwc_fn, qcat_relu_nhwc_stub);
+DECLARE_DISPATCH(qclamp_fn, qclamp_stub);
+DECLARE_DISPATCH(qclamp_minmax_fn, qclamp_min_stub);
+DECLARE_DISPATCH(qclamp_minmax_fn, qclamp_max_stub);
+DECLARE_DISPATCH(qelu_fn, qelu_stub);
+DECLARE_DISPATCH(qhardsigmoid_fn, qhardsigmoid_stub);
+DECLARE_DISPATCH(qhardswish_fn, qhardswish_stub);
+DECLARE_DISPATCH(qdropout_fn, qdropout_stub);
+DECLARE_DISPATCH(qmaxpool_2d_fn, qmaxpool_2d_nhwc_stub);
+DECLARE_DISPATCH(qmaxpool_3d_fn, qmaxpool_3d_nthwc_stub);
+DECLARE_DISPATCH(qnormalize_fn, quantized_normalize_stub);
+DECLARE_DISPATCH(qnormalize_nhwc_fn, quantized_groupnorm_nhwc_stub);
+DECLARE_DISPATCH(qrelu_fn, qrelu_stub);
+DECLARE_DISPATCH(qrelu_leaky_fn, qrelu_leaky_stub);
+DECLARE_DISPATCH(qgelu_fn, qgelu_stub);
+DECLARE_DISPATCH(qsigmoid_fn, qsigmoid_stub);
+DECLARE_DISPATCH(qtanh_fn, qtanh_stub);
+DECLARE_DISPATCH(qthreshold_fn, qthreshold_stub);
+DECLARE_DISPATCH(qtopk_fn, qtopk_stub);
+DECLARE_DISPATCH(qupsample_bilinear2d_fn, qupsample_bilinear2d_nhwc_stub);
+DECLARE_DISPATCH(qmean_inner_dim_fn, qmean_inner_dim_stub);
+DECLARE_DISPATCH(qstd_inner_dim_fn, qstd_inner_dim_stub);
+DECLARE_DISPATCH(qprelu_fn, qprelu_stub);
+
+} // namespace native
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/quantized/cpu/RuyUtils.h

@@ -0,0 +1,21 @@
+#pragma once
+
+#ifdef USE_RUY_QMATMUL
+
+#include <ruy/ruy.h>
+
+namespace at {
+namespace native {
+namespace ruy_utils {
+
+ruy::Context* get_ruy_context();
+
+void quantize_multiplier(double scale,
+                         int* multiplier_fixedpoint,
+                         int* multiplier_exponent);
+
+} // namespace ruy_utils
+} // namespace native
+} // namesplace
+
+#endif // USE_RUY_QMATMUL

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/ops/_coalesced_ops.h

@@ -0,0 +1,50 @@
+#pragma once
+
+// @generated by torchgen/gen.py from Operator.h
+
+#include <tuple>
+#include <vector>
+
+// Forward declarations of any types needed in the operator signatures.
+// We can't directly include these classes because it will cause circular include dependencies.
+// This file is included by TensorBody.h, which defines the Tensor class.
+#include <ATen/core/ATen_fwd.h>
+
+namespace at {
+namespace _ops {
+
+
+struct TORCH_API _coalesced_ {
+  using schema = at::Tensor & (at::Tensor &, bool);
+  using ptr_schema = schema*;
+  // See Note [static constexpr char* members for windows NVCC]
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(name, "aten::_coalesced_")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(overload_name, "")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(schema_str, "_coalesced_(Tensor(a!) self, bool coalesced) -> Tensor(a!)")
+  static at::Tensor & call(at::Tensor & self, bool coalesced);
+  static at::Tensor & redispatch(c10::DispatchKeySet dispatchKeySet, at::Tensor & self, bool coalesced);
+};
+
+struct TORCH_API _coalesced_out {
+  using schema = at::Tensor & (const at::Tensor &, bool, at::Tensor &);
+  using ptr_schema = schema*;
+  // See Note [static constexpr char* members for windows NVCC]
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(name, "aten::_coalesced")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(overload_name, "out")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(schema_str, "_coalesced.out(Tensor self, bool coalesced, *, Tensor(a!) out) -> Tensor(a!)")
+  static at::Tensor & call(const at::Tensor & self, bool coalesced, at::Tensor & out);
+  static at::Tensor & redispatch(c10::DispatchKeySet dispatchKeySet, const at::Tensor & self, bool coalesced, at::Tensor & out);
+};
+
+struct TORCH_API _coalesced {
+  using schema = at::Tensor (const at::Tensor &, bool);
+  using ptr_schema = schema*;
+  // See Note [static constexpr char* members for windows NVCC]
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(name, "aten::_coalesced")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(overload_name, "")
+  STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(schema_str, "_coalesced(Tensor self, bool coalesced) -> Tensor")
+  static at::Tensor call(const at::Tensor & self, bool coalesced);
+  static at::Tensor redispatch(c10::DispatchKeySet dispatchKeySet, const at::Tensor & self, bool coalesced);
+};
+
+}} // namespace at::_ops