path: root/vec_avx_float8.h

// -*-C++-*-

#ifndef VEC_AVX_FLOAT8_H
#define VEC_AVX_FLOAT8_H

#include "floatprops.h"
#include "mathfuncs.h"
#include "vec_base.h"

#include <cmath>

// AVX intrinsics
#include <immintrin.h>



namespace vecmathlib {
  
#define VECMATHLIB_HAVE_VEC_FLOAT_8
  template<> struct boolvec<float,8>;
  template<> struct intvec<float,8>;
  template<> struct realvec<float,8>;
  
  
  
  template<>
  struct boolvec<float,8>: floatprops<float>
  {
    static int const size = 8;
    typedef bool scalar_t;
    typedef __m256 bvector_t;
    static int const alignment = sizeof(bvector_t);
    
    static_assert(size * sizeof(real_t) == sizeof(bvector_t),
                  "vector size is wrong");
    
  private:
    // true values have the sign bit set, false values have it unset
    static uint_t from_bool(bool a) { return - uint_t(a); }
    static bool to_bool(uint_t a) { return int_t(a) < int_t(0); }
  public:
    
    typedef boolvec boolvec_t;
    typedef intvec<real_t, size> intvec_t;
    typedef realvec<real_t, size> realvec_t;
    
    // Short names for type casts
    typedef real_t R;
    typedef int_t I;
    typedef uint_t U;
    typedef realvec_t RV;
    typedef intvec_t IV;
    typedef boolvec_t BV;
    typedef floatprops<real_t> FP;
    typedef mathfuncs<realvec_t> MF;
    
    
    
    bvector_t v;
    
    boolvec() {}
    // Can't have a non-trivial copy constructor; if so, objects won't
    // be passed in registers
    // boolvec(boolvec const& x): v(x.v) {}
    // boolvec& operator=(boolvec const& x) { return v=x.v, *this; }
    boolvec(bvector_t x): v(x) {}
    boolvec(bool a):
    v(_mm256_castsi256_ps(_mm256_set1_epi32(from_bool(a)))) {}
    boolvec(bool const* as):
    v(_mm256_castsi256_ps(_mm256_set_epi32(from_bool(as[7]),
                                           from_bool(as[6]),
                                           from_bool(as[5]),
                                           from_bool(as[4]),
                                           from_bool(as[3]),
                                           from_bool(as[2]),
                                           from_bool(as[1]),
                                           from_bool(as[0])))) {}
    
    operator bvector_t() const { return v; }
    bool operator[](int n) const
    {
      return to_bool(vecmathlib::get_elt<BV,bvector_t,uint_t>(v, n));
    }
    boolvec_t& set_elt(int n, bool a)
    {
      return
        vecmathlib::set_elt<BV,bvector_t,uint_t>(v, n, from_bool(a)), *this;
    }
    
    
    
    intvec_t as_int() const;      // defined after intvec
    intvec_t convert_int() const; // defined after intvec
    
    
    
    boolvec_t operator!() const { return _mm256_xor_ps(boolvec(true), v); }
    
    boolvec_t operator&&(boolvec_t x) const { return _mm256_and_ps(v, x.v); }
    boolvec_t operator||(boolvec_t x) const { return _mm256_or_ps(v, x.v); }
    boolvec_t operator==(boolvec_t x) const { return !(*this!=x); }
    boolvec_t operator!=(boolvec_t x) const { return _mm256_xor_ps(v, x.v); }
    
    bool all() const
    {
      // return
      //   (*this)[0] && (*this)[1] && (*this)[2] && (*this)[3] &&
      //   (*this)[4] && (*this)[5] && (*this)[6] && (*this)[7];
      return ! (! *this).any();
    }
    bool any() const
    {
      // return
      //   (*this)[0] || (*this)[1] || (*this)[2] || (*this)[3] ||
      //   (*this)[4] || (*this)[5] || (*this)[6] || (*this)[7];
      return ! bool(_mm256_testz_ps(v, v));
    }
    
    
    
    // ifthen(condition, then-value, else-value)
    boolvec_t ifthen(boolvec_t x, boolvec_t y) const;
    intvec_t ifthen(intvec_t x, intvec_t y) const; // defined after intvec
    realvec_t ifthen(realvec_t x, realvec_t y) const; // defined after realvec
  };
  
  
  
  template<>
  struct intvec<float,8>: floatprops<float>
  {
    static int const size = 8;
    typedef int_t scalar_t;
    typedef __m256i ivector_t;
    static int const alignment = sizeof(ivector_t);
    
    static_assert(size * sizeof(real_t) == sizeof(ivector_t),
                  "vector size is wrong");
    
    typedef boolvec<real_t, size> boolvec_t;
    typedef intvec intvec_t;
    typedef realvec<real_t, size> realvec_t;
    
    // Short names for type casts
    typedef real_t R;
    typedef int_t I;
    typedef uint_t U;
    typedef realvec_t RV;
    typedef intvec_t IV;
    typedef boolvec_t BV;
    typedef floatprops<real_t> FP;
    typedef mathfuncs<realvec_t> MF;
    
    
    
    ivector_t v;
    
    intvec() {}
    // Can't have a non-trivial copy constructor; if so, objects won't
    // be passed in registers
    // intvec(intvec const& x): v(x.v) {}
    // intvec& operator=(intvec const& x) { return v=x.v, *this; }
    intvec(ivector_t x): v(x) {}
    intvec(int_t a): v(_mm256_set1_epi32(a)) {}
    intvec(int_t const* as): v(_mm256_set_epi32(as[7], as[6], as[5], as[4],
                                                as[3], as[2], as[1], as[0])) {}
    static intvec_t iota() { return _mm256_set_epi32(7, 6, 5, 4, 3, 2, 1, 0); }
    
    operator ivector_t() const { return v; }
    int_t operator[](int n) const
    {
      return vecmathlib::get_elt<IV,ivector_t,int_t>(v, n);
    }
    intvec_t& set_elt(int n, int_t a)
    {
      return vecmathlib::set_elt<IV,ivector_t,int_t>(v, n, a), *this;
    }
    
    
    
    boolvec_t as_bool() const { return _mm256_castsi256_ps(v); }
    boolvec_t convert_bool() const
    {
      // Result: convert_bool(0)=false, convert_bool(else)=true
#ifdef __AVX2__
      return *this != IV(I(0));
#else
      // There is no intrinsic to compare to zero. Instead, we check
      // whether x is positive and x-1 is negative.
      intvec_t x = *this;
      // We know that boolvec_t values depend only on the sign bit
      // return (~(x-1) | x).as_bool();
      // return x.as_bool() || !(x-1).as_bool();
      return x.as_bool() || (x + (FP::signbit_mask - 1)).as_bool();
#endif
    }
    realvec_t as_float() const;      // defined after realvec
    realvec_t convert_float() const; // defined after realvec
    
    
    
    // Note: not all arithmetic operations are supported!
    
    intvec_t operator+() const { return *this; }
    intvec_t operator-() const { return IV(0) - *this; }
    
    intvec_t operator+(intvec_t x) const
    {
#ifdef __AVX2__
      return _mm256_add_epi32(v, x.v);
#else
      __m128i vlo = _mm256_castsi256_si128(v);
      __m128i vhi = _mm256_extractf128_si256(v, 1);
      __m128i xvlo = _mm256_castsi256_si128(x.v);
      __m128i xvhi = _mm256_extractf128_si256(x.v, 1);
      vlo = _mm_add_epi32(vlo, xvlo);
      vhi = _mm_add_epi32(vhi, xvhi);
      return _mm256_insertf128_si256(_mm256_castsi128_si256(vlo), vhi, 1);
#endif
    }
    intvec_t operator-(intvec_t x) const
    {
#ifdef __AVX2__
      return _mm256_sub_epi32(v, x.v);
#else
      __m128i vlo = _mm256_castsi256_si128(v);
      __m128i vhi = _mm256_extractf128_si256(v, 1);
      __m128i xvlo = _mm256_castsi256_si128(x.v);
      __m128i xvhi = _mm256_extractf128_si256(x.v, 1);
      vlo = _mm_sub_epi32(vlo, xvlo);
      vhi = _mm_sub_epi32(vhi, xvhi);
      return _mm256_insertf128_si256(_mm256_castsi128_si256(vlo), vhi, 1);
#endif
    }
    
    intvec_t& operator+=(intvec_t const& x) { return *this=*this+x; }
    intvec_t& operator-=(intvec_t const& x) { return *this=*this-x; }
    
    
    
    intvec_t operator~() const { return IV(~U(0)) ^ *this; }
    
    intvec_t operator&(intvec_t x) const
    {
#ifdef __AVX2__
      return _mm256_and_si256(v, x.v);
#else
      return _mm256_castps_si256(_mm256_and_ps(_mm256_castsi256_ps(v),
                                               _mm256_castsi256_ps(x.v)));
#endif
    }
    intvec_t operator|(intvec_t x) const
    {
#ifdef __AVX2__
      return _mm256_or_si256(v, x.v);
#else
      return _mm256_castps_si256(_mm256_or_ps(_mm256_castsi256_ps(v),
                                              _mm256_castsi256_ps(x.v)));
#endif
    }
    intvec_t operator^(intvec_t x) const
    {
#ifdef __AVX2__
      return _mm256_xor_si256(v, x.v);
#else
      return _mm256_castps_si256(_mm256_xor_ps(_mm256_castsi256_ps(v),
                                               _mm256_castsi256_ps(x.v)));
#endif
    }
    
    intvec_t& operator&=(intvec_t const& x) { return *this=*this&x; }
    intvec_t& operator|=(intvec_t const& x) { return *this=*this|x; }
    intvec_t& operator^=(intvec_t const& x) { return *this=*this^x; }
    
    intvec_t bitifthen(intvec_t x, intvec_t y) const;
    
    
    
    intvec_t lsr(int_t n) const
    {
#ifdef __AVX2__
      return _mm256_srli_epi32(v, n);
#else
      __m128i vlo = _mm256_castsi256_si128(v);
      __m128i vhi = _mm256_extractf128_si256(v, 1);
      vlo = _mm_srli_epi32(vlo, n);
      vhi = _mm_srli_epi32(vhi, n);
      return _mm256_insertf128_si256(_mm256_castsi128_si256(vlo), vhi, 1);
#endif
    }
    intvec_t rotate(int_t n) const;
    intvec_t operator>>(int_t n) const
    {
#ifdef __AVX2__
      return _mm256_srai_epi32(v, n);
#else
      __m128i vlo = _mm256_castsi256_si128(v);
      __m128i vhi = _mm256_extractf128_si256(v, 1);
      vlo = _mm_srai_epi32(vlo, n);
      vhi = _mm_srai_epi32(vhi, n);
      return _mm256_insertf128_si256(_mm256_castsi128_si256(vlo), vhi, 1);
#endif
    }
    intvec_t operator<<(int_t n) const
    {
#ifdef __AVX2__
      return _mm256_slli_epi32(v, n);
#else
      __m128i vlo = _mm256_castsi256_si128(v);
      __m128i vhi = _mm256_extractf128_si256(v, 1);
      vlo = _mm_slli_epi32(vlo, n);
      vhi = _mm_slli_epi32(vhi, n);
      return _mm256_insertf128_si256(_mm256_castsi128_si256(vlo), vhi, 1);
#endif
    }
    intvec_t& operator>>=(int_t n) { return *this=*this>>n; }
    intvec_t& operator<<=(int_t n) { return *this=*this<<n; }
    
    intvec_t lsr(intvec_t n) const
    {
#ifdef __AVX2__
      return _mm256_srlv_epi32(v, n.v);
#else
      intvec_t r;
      for (int i=0; i<size; ++i) {
        r.set_elt(i, U((*this)[i]) >> U(n[i]));
      }
      return r;
#endif
    }
    intvec_t rotate(intvec_t n) const;
    intvec_t operator>>(intvec_t n) const
    {
#ifdef __AVX2__
      return _mm256_srav_epi32(v, n.v);
#else
      intvec_t r;
      for (int i=0; i<size; ++i) {
        r.set_elt(i, (*this)[i] >> n[i]);
      }
      return r;
#endif
    }
    intvec_t operator<<(intvec_t n) const
    {
#ifdef __AVX2__
      return _mm256_sllv_epi32(v, n.v);
#else
      intvec_t r;
      for (int i=0; i<size; ++i) {
        r.set_elt(i, (*this)[i] << n[i]);
      }
      return r;
#endif
    }
    intvec_t& operator>>=(intvec_t n) { return *this=*this>>n; }
    intvec_t& operator<<=(intvec_t n) { return *this=*this<<n; }
    
    intvec_t clz() const;
    intvec_t popcount() const;
    
    
    
    boolvec_t operator==(intvec_t const& x) const
    {
#ifdef __AVX2__
      return _mm256_castsi256_ps(_mm256_cmpeq_epi32(v, x.v));
#else
      return ! (*this != x);
#endif
    }
    boolvec_t operator!=(intvec_t const& x) const
    {
#ifdef __AVX2__
      return ! (*this == x);
#else
      return (*this ^ x).convert_bool();
#endif
    }
    boolvec_t operator<(intvec_t const& x) const
    {
#ifdef __AVX2__
      return _mm256_castsi256_ps(_mm256_cmpgt_epi32(x.v, v));
#else
      // return (*this - x).as_bool();
      boolvec_t r;
      for (int i=0; i<size; ++i) {
        r.set_elt(i, (*this)[i] < x[i]);
      }
      return r;
#endif
    }
    boolvec_t operator<=(intvec_t const& x) const
    {
      return ! (*this > x);
    }
    boolvec_t operator>(intvec_t const& x) const
    {
      return x < *this;
    }
    boolvec_t operator>=(intvec_t const& x) const
    {
      return ! (*this < x);
    }
    
    intvec_t abs() const;
    boolvec_t isignbit() const { return as_bool(); }
    intvec_t max(intvec_t x) const;
    intvec_t min(intvec_t x) const;
  };
  
  
  
  template<>
  struct realvec<float,8>: floatprops<float>
  {
    static int const size = 8;
    typedef real_t scalar_t;
    typedef __m256 vector_t;
    static int const alignment = sizeof(vector_t);
    
    static char const* name() {
#ifdef __AVX2__
      return "<AVX2:8*float>";
#else
      return "<AVX:8*float>";
#endif
    }
    void barrier() { __asm__("": "+x"(v)); }
    
    static_assert(size * sizeof(real_t) == sizeof(vector_t),
                  "vector size is wrong");
    
    typedef boolvec<real_t, size> boolvec_t;
    typedef intvec<real_t, size> intvec_t;
    typedef realvec realvec_t;
    
    // Short names for type casts
    typedef real_t R;
    typedef int_t I;
    typedef uint_t U;
    typedef realvec_t RV;
    typedef intvec_t IV;
    typedef boolvec_t BV;
    typedef floatprops<real_t> FP;
    typedef mathfuncs<realvec_t> MF;
    
    
    
    vector_t v;
    
    realvec() {}
    // Can't have a non-trivial copy constructor; if so, objects won't
    // be passed in registers
    // realvec(realvec const& x): v(x.v) {}
    // realvec& operator=(realvec const& x) { return v=x.v, *this; }
    realvec(vector_t x): v(x) {}
    realvec(real_t a): v(_mm256_set1_ps(a)) {}
    realvec(real_t const* as): v(_mm256_set_ps(as[7], as[6], as[5], as[4],
                                               as[3], as[2], as[1], as[0])) {}
    
    operator vector_t() const { return v; }
    real_t operator[](int n) const
    {
      return vecmathlib::get_elt<RV,vector_t,real_t>(v, n);
    }
    realvec_t& set_elt(int n, real_t a)
    {
      return vecmathlib::set_elt<RV,vector_t,real_t>(v, n, a), *this;
    }
    
    
    
    typedef vecmathlib::mask_t<realvec_t> mask_t;
    
    static realvec_t loada(real_t const* p)
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      return _mm256_load_ps(p);
    }
    static realvec_t loadu(real_t const* p)
    {
      return _mm256_loadu_ps(p);
    }
    static realvec_t loadu(real_t const* p, std::ptrdiff_t ioff)
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (ioff % realvec::size == 0) return loada(p+ioff);
      return loadu(p+ioff);
    }
    realvec_t loada(real_t const* p, mask_t const& m) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (__builtin_expect(all(m.m), true)) {
        return loada(p);
      } else {
        return m.m.ifthen(loada(p), *this);
      }
    }
    realvec_t loadu(real_t const* p, mask_t const& m) const
    {
      if (__builtin_expect(m.all_m, true)) {
        return loadu(p);
      } else {
        return m.m.ifthen(loadu(p), *this);
      }
    }
    realvec_t loadu(real_t const* p, std::ptrdiff_t ioff, mask_t const& m) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (ioff % realvec::size == 0) return loada(p+ioff, m);
      return loadu(p+ioff, m);
    }
    
    void storea(real_t* p) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      _mm256_store_ps(p, v);
    }
    void storeu(real_t* p) const
    {
      return _mm256_storeu_ps(p, v);
    }
    void storeu(real_t* p, std::ptrdiff_t ioff) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (ioff % realvec::size == 0) return storea(p+ioff);
      storeu(p+ioff);
    }
    void storea(real_t* p, mask_t const& m) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (__builtin_expect(m.all_m, true)) {
        storea(p);
      } else {
        _mm256_maskstore_ps(p, m.m.as_int(), v);
      }
    }
    void storeu(real_t* p, mask_t const& m) const
    {
      if (__builtin_expect(m.all_m, true)) {
        storeu(p);
      } else {
        // TODO: this is expensive
        for (int n=0; n<size; ++n) if (m.m[n]) p[n] = (*this)[n];
      }
    }
    void storeu(real_t* p, std::ptrdiff_t ioff, mask_t const& m) const
    {
      VML_ASSERT(intptr_t(p) % alignment == 0);
      if (ioff % realvec::size == 0) return storea(p+ioff, m);
      storeu(p+ioff, m);
    }
    
    
    
    intvec_t as_int() const { return _mm256_castps_si256(v); }
    intvec_t convert_int() const { return _mm256_cvttps_epi32(v); }
    
    
    
    realvec_t operator+() const { return *this; }
    realvec_t operator-() const { return RV(0.0) - *this; }
    
    realvec_t operator+(realvec_t x) const { return _mm256_add_ps(v, x.v); }
    realvec_t operator-(realvec_t x) const { return _mm256_sub_ps(v, x.v); }
    realvec_t operator*(realvec_t x) const { return _mm256_mul_ps(v, x.v); }
    realvec_t operator/(realvec_t x) const { return _mm256_div_ps(v, x.v); }
    
    realvec_t& operator+=(realvec_t const& x) { return *this=*this+x; }
    realvec_t& operator-=(realvec_t const& x) { return *this=*this-x; }
    realvec_t& operator*=(realvec_t const& x) { return *this=*this*x; }
    realvec_t& operator/=(realvec_t const& x) { return *this=*this/x; }
    
    real_t maxval() const
    {
      // return
      //   vml_std::fmax(vml_std::fmax(vml_std::fmax((*this)[0], (*this)[1]),
      //                               vml_std::fmax((*this)[2], (*this)[3])),
      //                 vml_std::fmax(vml_std::fmax((*this)[4], (*this)[5]),
      //                               vml_std::fmax((*this)[6], (*this)[7])));
      realvec_t x01234567 = *this;
      realvec_t x10325476 = _mm256_shuffle_ps(x01234567, x01234567, 0b10110001);
      realvec_t y00224466 = x01234567.fmax(x10325476);
      realvec_t y22006644 = _mm256_shuffle_ps(y00224466, y00224466, 0b01001110);
      realvec_t z00004444 = y00224466.fmax(y22006644);
      return vml_std::fmax(z00004444[0], z00004444[4]);
    }
    real_t minval() const
    {
      // return
      //   vml_std::fmin(vml_std::fmin(vml_std::fmin((*this)[0], (*this)[1]),
      //                               vml_std::fmin((*this)[2], (*this)[3])),
      //                 vml_std::fmin(vml_std::fmin((*this)[4], (*this)[5]),
      //                               vml_std::fmin((*this)[6], (*this)[7])));
      realvec_t x01234567 = *this;
      realvec_t x10325476 = _mm256_shuffle_ps(x01234567, x01234567, 0b10110001);
      realvec_t y00224466 = x01234567.fmin(x10325476);
      realvec_t y22006644 = _mm256_shuffle_ps(y00224466, y00224466, 0b01001110);
      realvec_t z00004444 = y00224466.fmin(y22006644);
      return vml_std::fmin(z00004444[0], z00004444[4]);
    }
    real_t prod() const
    {
      // return
      //   (*this)[0] * (*this)[1] * (*this)[2] * (*this)[3] *
      //   (*this)[4] * (*this)[5] * (*this)[6] * (*this)[7];
      realvec_t x01234567 = *this;
      realvec_t x10325476 = _mm256_shuffle_ps(x01234567, x01234567, 0b10110001);
      realvec_t y00224466 = x01234567 * x10325476;
      realvec_t y22006644 = _mm256_shuffle_ps(y00224466, y00224466, 0b01001110);
      realvec_t z00004444 = y00224466 * y22006644;
      return z00004444[0] * z00004444[4];
    }
    real_t sum() const
    {
      // return
      //   (*this)[0] + (*this)[1] + (*this)[2] + (*this)[3] +
      //   (*this)[4] + (*this)[5] + (*this)[6] + (*this)[7];
      // _m256 x = vhaddps(v, v);
      // x = vhaddps(x, x);
      // __m128 xlo = _mm256_extractf128_ps(x, 0);
      // __m128 xhi = _mm256_extractf128_ps(x, 1);
      // return _mm_cvtsd_f64(xlo) + _mm_cvtsd_f64(xhi);
      realvec_t x = *this;
      x = _mm256_hadd_ps(x.v, x.v);
      x = _mm256_hadd_ps(x.v, x.v);
      return x[0] + x[4];
    }
    
    
    
    boolvec_t operator==(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_EQ_OQ);
    }
    boolvec_t operator!=(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_NEQ_UQ); // Note: _UQ here
    }
    boolvec_t operator<(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_LT_OQ);
    }
    boolvec_t operator<=(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_LE_OQ);
    }
    boolvec_t operator>(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_GT_OQ);
    }
    boolvec_t operator>=(realvec_t const& x) const
    {
      return _mm256_cmp_ps(v, x.v, _CMP_GE_OQ);
    }
    
    
    
    realvec_t acos() const { return MF::vml_acos(*this); }
    realvec_t acosh() const { return MF::vml_acosh(*this); }
    realvec_t asin() const { return MF::vml_asin(*this); }
    realvec_t asinh() const { return MF::vml_asinh(*this); }
    realvec_t atan() const { return MF::vml_atan(*this); }
    realvec_t atan2(realvec_t y) const { return MF::vml_atan2(*this, y); }
    realvec_t atanh() const { return MF::vml_atanh(*this); }
    realvec_t cbrt() const { return MF::vml_cbrt(*this); }
    realvec_t ceil() const { return _mm256_ceil_ps(v); }
    realvec_t copysign(realvec_t y) const { return MF::vml_copysign(*this, y); }
    realvec_t cos() const { return MF::vml_cos(*this); }
    realvec_t cosh() const { return MF::vml_cosh(*this); }
    realvec_t exp() const { return MF::vml_exp(*this); }
    realvec_t exp10() const { return MF::vml_exp10(*this); }
    realvec_t exp2() const { return MF::vml_exp2(*this); }
    realvec_t expm1() const { return MF::vml_expm1(*this); }
    realvec_t fabs() const { return MF::vml_fabs(*this); }
    realvec_t fdim(realvec_t y) const { return MF::vml_fdim(*this, y); }
    realvec_t floor() const { return _mm256_floor_ps(v); }
    realvec_t fma(realvec_t y, realvec_t z) const
    {
      return MF::vml_fma(*this, y, z);
    }
    realvec_t fmax(realvec_t y) const { return _mm256_max_ps(v, y.v); }
    realvec_t fmin(realvec_t y) const { return _mm256_min_ps(v, y.v); }
    realvec_t fmod(realvec_t y) const { return MF::vml_fmod(*this, y); }
    realvec_t frexp(intvec_t* r) const { return MF::vml_frexp(*this, r); }
    realvec_t hypot(realvec_t y) const { return MF::vml_hypot(*this, y); }
    intvec_t ilogb() const { return MF::vml_ilogb(*this); }
    boolvec_t isfinite() const { return MF::vml_isfinite(*this); }
    boolvec_t isinf() const { return MF::vml_isinf(*this); }
    boolvec_t isnan() const
    {
#ifdef VML_HAVE_NAN
      return _mm256_cmp_ps(v, v, _CMP_UNORD_Q);
#else
      return BV(false);
#endif
    }
    boolvec_t isnormal() const { return MF::vml_isnormal(*this); }
    realvec_t ldexp(int_t n) const { return MF::vml_ldexp(*this, n); }
    realvec_t ldexp(intvec_t n) const { return MF::vml_ldexp(*this, n); }
    realvec_t log() const { return MF::vml_log(*this); }
    realvec_t log10() const { return MF::vml_log10(*this); }
    realvec_t log1p() const { return MF::vml_log1p(*this); }
    realvec_t log2() const { return MF::vml_log2(*this); }
    realvec_t mad(realvec_t y, realvec_t z) const
    {
      return MF::vml_mad(*this, y, z);
    }
    realvec_t nextafter(realvec_t y) const
    {
      return MF::vml_nextafter(*this, y);
    }
    realvec_t pow(realvec_t y) const { return MF::vml_pow(*this, y); }
    realvec_t rcp() const
    {
      realvec_t x = *this;
      realvec_t r = _mm256_rcp_ps(x); // this is only an approximation
      r *= RV(2.0) - r*x;        // one Newton iteration (see vml_rcp)
      return r;
    }
    realvec_t remainder(realvec_t y) const
    {
      return MF::vml_remainder(*this, y);
    }
    realvec_t rint() const
    {
      return _mm256_round_ps(v, _MM_FROUND_TO_NEAREST_INT);
    }
    realvec_t round() const { return MF::vml_round(*this); }
    realvec_t rsqrt() const
    {
      realvec_t x = *this;
      realvec_t r = _mm256_rsqrt_ps(x);    // this is only an approximation
      r *= RV(1.5) - RV(0.5)*x * r*r; // one Newton iteration (see vml_rsqrt)
      return r;
    }
    boolvec_t signbit() const { return v; }
    realvec_t sin() const { return MF::vml_sin(*this); }
    realvec_t sinh() const { return MF::vml_sinh(*this); }
    realvec_t sqrt() const { return _mm256_sqrt_ps(v); }
    realvec_t tan() const { return MF::vml_tan(*this); }
    realvec_t tanh() const { return MF::vml_tanh(*this); }
    realvec_t trunc() const { return _mm256_round_ps(v, _MM_FROUND_TO_ZERO); }
  };
  
  
  
  // boolvec definitions
  
  inline intvec<float,8> boolvec<float,8>::as_int() const
  {
    return _mm256_castps_si256(v);
  }
  
  inline intvec<float,8> boolvec<float,8>::convert_int() const
  {
    return lsr(as_int(), bits-1);
  }
  
  inline
  boolvec<float,8> boolvec<float,8>::ifthen(boolvec_t x, boolvec_t y) const
  {
    return ifthen(x.as_int(), y.as_int()).as_bool();
  }
  
  inline intvec<float,8> boolvec<float,8>::ifthen(intvec_t x, intvec_t y) const
  {
    return ifthen(x.as_float(), y.as_float()).as_int();
  }
  
  inline
  realvec<float,8> boolvec<float,8>::ifthen(realvec_t x, realvec_t y) const
  {
    return _mm256_blendv_ps(y.v, x.v, v);
  }

  
  
  // intvec definitions
  
  inline intvec<float,8> intvec<float,8>::abs() const
  {
#ifdef __AVX2__
    return _mm256_abs_epi32(v);
#else
    return MF::vml_abs(*this);
#endif
  }
  
  inline realvec<float,8> intvec<float,8>::as_float() const
  {
    return _mm256_castsi256_ps(v);
  }
  
  inline intvec<float,8> intvec<float,8>::bitifthen(intvec_t x,
                                                    intvec_t y) const
  {
    return MF::vml_bitifthen(*this, x, y);
  }
  
  inline intvec<float,8> intvec<float,8>::clz() const
  {
    return MF::vml_clz(*this);
  }
  
  inline realvec<float,8> intvec<float,8>::convert_float() const
  {
    return _mm256_cvtepi32_ps(v);
  }
  
  inline intvec<float,8> intvec<float,8>::max(intvec_t x) const
  {
    return MF::vml_max(*this, x);
  }
  
  inline intvec<float,8> intvec<float,8>::min(intvec_t x) const
  {
    return MF::vml_min(*this, x);
  }
  
  inline intvec<float,8> intvec<float,8>::popcount() const
  {
    return MF::vml_popcount(*this);
  }
  
  inline intvec<float,8> intvec<float,8>::rotate(int_t n) const
  {
    return MF::vml_rotate(*this, n);
  }
  
  inline intvec<float,8> intvec<float,8>::rotate(intvec_t n) const
  {
    return MF::vml_rotate(*this, n);
  }
  
} // namespace vecmathlib

#endif  // #ifndef VEC_AVX_FLOAT8_H