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// -*-C++-*-
#ifndef VEC_MIC_DOUBLE8_H
#define VEC_MIC_DOUBLE8_H
#include "floatprops.h"
#include "mathfuncs.h"
#include "vec_base.h"
#include <cmath>
// MIC intrinsics
#include <immintrin.h>
namespace vecmathlib {
#define VECMATHLIB_HAVE_VEC_DOUBLE_8
template <> struct boolvec<double, 8>;
template <> struct intvec<double, 8>;
template <> struct realvec<double, 8>;
template <> struct boolvec<double, 8> : floatprops<double> {
static const int size = 8;
typedef bool scalar_t;
typedef __mask8 bvector_t;
static const int alignment = sizeof(bvector_t);
// static_assert(size * sizeof(real_t) == sizeof(bvector_t),
// "vector size is wrong");
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(const boolvec& x): v(x.v) {}
// boolvec& operator=(const boolvec& x) { return v=x.v, *this; }
boolvec(bvector_t x) : v(x) {}
boolvec(bool a) : v(-bvector_t(a)) {}
boolvec(const bool *as)
: v((bvector_t(as[0]) << 0) | (bvector_t(as[1]) << 1) |
(bvector_t(as[2]) << 2) | (bvector_t(as[3]) << 3) |
(bvector_t(as[4]) << 4) | (bvector_t(as[5]) << 5) |
(bvector_t(as[6]) << 6) | (bvector_t(as[7]) << 7)) {}
operator bvector_t() const { return v; }
bool operator[](int n) const { return (v >> n) & 1; }
boolvec &set_elt(int n, bool a) {
v &= ~(bvector_t(1) << n);
v |= bvector_t(a) << n;
return *this;
}
intvec_t as_int() const; // defined after intvec
intvec_t convert_int() const; // defined after intvec
boolvec operator!() const { return _mm512_knot(v); }
boolvec operator&&(boolvec x) const { return _mm512_kand(v, x.v); }
boolvec operator||(boolvec x) const { return _mm512_kor(v, x.v); }
boolvec operator==(boolvec x) const { return _mm512_kxnor(v, x.v); }
boolvec operator!=(boolvec x) const { return _mm512_kxor(v, x.v); }
bool all() const { return _mm512_kortestc(v, v); }
bool any() const { return !bool(_mm512_kortestz(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<double, 8> : floatprops<double> {
static const int size = 8;
typedef int_t scalar_t;
typedef __m512i ivector_t;
static const int 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(const intvec& x): v(x.v) {}
// intvec& operator=(const intvec& x) { return v=x.v, *this; }
intvec(ivector_t x) : v(x) {}
intvec(int_t a) : v(_mm512_set1_epi64(a)) {}
intvec(const int_t *as) {
v = _mm512_undefined_epi32();
// v = _mm512_loadunpacklo_epi32(v, as);
// v = _mm512_loadunpackhi_epi32(v, as+8);
for (int n = 0; n < size; ++n)
set_elt(n, as[n]);
}
static intvec iota() {
intvec r;
for (int n = 0; n < size; ++n)
r.set_elt(n, n);
return r;
}
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;
}
private:
static __mmask8 mask16tomask8(__mmask16 m16) {
// combine 01
m16 = ((m16 >> 1) | m16) & 0b0011001100110011;
// combine 0123
m16 = ((m16 >> 2) | m16) & 0b0000111100001111;
// combine 01234567
m16 = ((m16 >> 4) | m16) & 0b0000000011111111;
return m16;
}
public:
boolvec_t as_bool() const { return convert_bool(); }
boolvec_t convert_bool() const {
// Result: convert_bool(0)=false, convert_bool(else)=true
__mmask16 r16 = _mm512_test_epi32_mask(v, v);
return mask16tomask8(r16);
}
realvec_t as_float() const; // defined after realvec
realvec_t convert_float() const; // defined after realvec
// Note: not all arithmetic operations are supported!
intvec operator+() const { return *this; }
intvec operator-() const { return IV(I(0)) - *this; }
intvec operator+(intvec x) const { return _mm512_add_epi64(v, x.v); }
intvec operator-(intvec x) const { return _mm512_sub_epi64(v, x.v); }
intvec &operator+=(const intvec &x) { return *this = *this + x; }
intvec &operator-=(const intvec &x) { return *this = *this - x; }
intvec operator~() const { return IV(~U(0)) ^ *this; }
intvec operator&(intvec x) const { return _mm512_and_epi64(v, x.v); }
intvec operator|(intvec x) const { return _mm512_or_epi64(v, x.v); }
intvec operator^(intvec x) const { return _mm512_xor_epi64(v, x.v); }
intvec &operator&=(const intvec &x) { return *this = *this & x; }
intvec &operator|=(const intvec &x) { return *this = *this | x; }
intvec &operator^=(const intvec &x) { return *this = *this ^ x; }
intvec_t bitifthen(intvec_t x, intvec_t y) const;
intvec lsr(int_t n) const {
if (n < 32) {
__m512i vlo = _mm512_srli_epi32(v, n);
__m512i vhi = _mm512_slli_epi32(v, 32 - n);
vhi = _mm512_swizzle_epi32(vhi, _MM_SWIZ_REG_CDAB);
return _mm512_mask_or_epi32(vlo, 0xb0101010101010101, vhi, vlo);
} else {
__m512i vlo = _mm512_srli_epi32(v, n - 32);
__m512i vhi = _mm512_setzero_epi32();
return _mm512_mask_swizzle_epi32(vhi, 0xb0101010101010101, vlo);
}
}
intvec_t rotate(int_t n) const;
intvec operator>>(int_t n) const {
if (n < 32) {
__mm512i vlo = _mm512_srai_epi32(v, n);
__mm512i vlo0 = _mm512_srli_epi32(v, n);
__mm512i vhi = _mm512_slli_epi32(v, 32 - n);
vhi = _mm512_swizzle_epi32(vhi, _MM_SWIZ_REG_CDAB);
return _mm512_mask_or_epi32(vlo, 0xb0101010101010101, vhi, vlo0);
} else {
__m512i vlo = _mm512_srai_epi32(v, n - 32);
__m512i vhi = _mm512_srai_epi32(v, 31);
return _mm512_mask_swizzle_epi32(vhi, 0xb0101010101010101, vlo);
}
}
intvec operator<<(int_t n) const {
if (n < 32) {
__m512i vlo = _mm512_srli_epi32(v, n);
__m512i vhi = _mm512_slli_epi32(v, 32 - n);
vlo = _mm512_swizzle_epi32(vlo, _MM_SWIZ_REG_CDAB);
return _mm512_mask_or_epi32(vhi, 0xb1010101010101010, vhi, vlo);
} else {
__m512i vlo = _mm512_setzero_epi32();
__m512i vhi = _mm512_slli_epi32(v, n - 32);
return _mm512_mask_swizzle_epi32(vhi, 0xb1010101010101010, vlo);
}
}
intvec &operator>>=(int_t n) { return *this = *this >> n; }
intvec &operator<<=(int_t n) { return *this = *this << n; }
intvec lsr(intvec n) const {
// TODO: improve this
intvec r;
for (int i = 0; i < size; ++i) {
r.set_elt(i, U((*this)[i]) >> U(n[i]));
}
return r;
}
intvec_t rotate(intvec_t n) const;
intvec operator>>(intvec n) const {
// TODO: improve this
intvec r;
for (int i = 0; i < size; ++i) {
r.set_elt(i, (*this)[i] >> n[i]);
}
return r;
}
intvec operator<<(intvec n) const {
// TODO: improve this
intvec r;
for (int i = 0; i < size; ++i) {
r.set_elt(i, (*this)[i] << n[i]);
}
return r;
}
intvec &operator>>=(intvec n) { return *this = *this >> n; }
intvec &operator<<=(intvec n) { return *this = *this << n; }
intvec_t clz() const {
// Return 8*sizeof(TYPE) when the input is 0
intvec_t r;
for (int i = 0; i < size; ++i) {
// __lzcnt64
r.set_elt(i, __builtin_clzll((*this)[i]));
}
return r;
}
intvec_t popcount() const {
intvec_t r;
for (int i = 0; i < size; ++i) {
// _mm_popcnt_u64
r.set_elt(i, __builtin_popcountll((*this)[i]));
}
return r;
}
boolvec_t operator==(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_EQ));
}
boolvec_t operator!=(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_NE));
}
boolvec_t operator<(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_LT));
}
boolvec_t operator<=(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_LE));
}
boolvec_t operator>(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_GT));
}
boolvec_t operator>=(const intvec &x) const {
return mask16tomask8(_mm512_cmp_epi32_mask(v, x.v, _MM_CMPINT_GE));
}
intvec_t abs() const;
boolvec_t isignbit() const;
intvec_t max(intvec_t x) const;
intvec_t min(intvec_t x) const;
};
template <> struct realvec<double, 8> : floatprops<double> {
static const int size = 8;
typedef real_t scalar_t;
typedef __m512d vector_t;
static const int alignment = sizeof(vector_t);
static const char *name() { return "<MIC:8*double>"; }
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(const realvec& x): v(x.v) {}
// realvec& operator=(const realvec& x) { return v=x.v, *this; }
realvec(vector_t x) : v(x) {}
realvec(real_t a) : v(_mm512_set1_pd(a)) {}
realvec(const real_t *as) {
v = _mm512_undefined_pd();
// v = _mm512_loadunpacklo_pd(v, as);
// v = _mm512_loadunpackhi_pd(v, as+8);
for (int n = 0; n < size; ++n)
set_elt(n, as[n]);
}
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(const real_t *p) {
VML_ASSERT(intptr_t(p) % alignment == 0);
return _mm512_load_pd(p);
}
static realvec_t loadu(const real_t *p) {
realvec_t r(_mm512_undefined_pd());
r.v = _mm512_loadunpacklo_pd(r.v, p);
r.v = _mm512_loadunpackhi_pd(r.v, p + 8);
return r.v;
}
static realvec_t loadu(const real_t *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(const real_t *p, const mask_t &m) const {
VML_ASSERT(intptr_t(p) % alignment == 0);
return _mm512_mask_load_pd(v, m.m.v, p);
}
realvec_t loadu(const real_t *p, const mask_t &m) const {
if (__builtin_expect(m.all_m, true)) {
return loadu(p);
} else {
return m.m.ifthen(loadu(p), *this);
}
}
realvec_t loadu(const real_t *p, std::ptrdiff_t ioff, const mask_t &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);
_mm512_store_pd(p, v);
}
void storeu(real_t *p) const {
_mm512_packstorelo_pd(p, v);
_mm512_packstorehi_pd(p + 8, 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, const mask_t &m) const {
VML_ASSERT(intptr_t(p) % alignment == 0);
_mm512_mask_store_pd(p, m.m.v, v);
}
void storeu(real_t *p, const mask_t &m) const {
if (__builtin_expect(m.all_m, true)) {
storeu(p);
} else {
for (int n = 0; n < size; ++n) {
if (m.m[n])
p[n] = (*this)[n];
}
}
}
void storeu(real_t *p, std::ptrdiff_t ioff, const mask_t &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 _mm512_castpd_si512(v); }
intvec_t convert_int() const {
intvec_t r(_mm512_undefined_epi32());
for (int n = 0; n < size; ++n) {
r.set_elt(n, floatprops::convert_int((*this)[n]));
}
return r;
}
realvec operator+() const { return *this; }
realvec operator-() const { return RV(0.0) - *this; }
realvec operator+(realvec x) const { return _mm512_add_pd(v, x.v); }
realvec operator-(realvec x) const { return _mm512_sub_pd(v, x.v); }
realvec operator*(realvec x) const { return _mm512_mul_pd(v, x.v); }
realvec operator/(realvec x) const { return _mm512_div_pd(v, x.v); }
realvec &operator+=(const realvec &x) { return *this = *this + x; }
realvec &operator-=(const realvec &x) { return *this = *this - x; }
realvec &operator*=(const realvec &x) { return *this = *this * x; }
realvec &operator/=(const realvec &x) { return *this = *this / x; }
real_t maxval() const { returm _mm512_reduce_gmax_pd(v); }
real_t minval() const { returm _mm512_reduce_gmin_pd(v); }
real_t prod() const { returm _mm512_reduce_mul_pd(v); }
real_t sum() const { returm _mm512_reduce_add_pd(v); }
boolvec_t operator==(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_EQ_OQ);
}
boolvec_t operator!=(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_NEQ_UQ); // Note: _UQ here
}
boolvec_t operator<(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_LT_OQ);
}
boolvec_t operator<=(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_LE_OQ);
}
boolvec_t operator>(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_GT_OQ);
}
boolvec_t operator>=(const realvec &x) const {
return _mm512_cmp_pd(v, x.v, _CMP_GE_OQ);
}
realvec acos() const { return MF::vml_acos(*this); }
realvec acosh() const { return MF::vml_acosh(*this); }
realvec asin() const { return MF::vml_asin(*this); }
realvec asinh() const { return MF::vml_asinh(*this); }
realvec atan() const { return MF::vml_atan(*this); }
realvec atan2(realvec y) const { return MF::vml_atan2(*this, y); }
realvec atanh() const { return MF::vml_atanh(*this); }
realvec cbrt() const { return MF::vml_cbrt(*this); }
realvec ceil() const { return _mm512_ceil_pd(v); }
realvec copysign(realvec y) const { return MF::vml_copysign(*this, y); }
realvec cos() const { return MF::vml_cos(*this); }
realvec cosh() const { return MF::vml_cosh(*this); }
realvec exp() const { return MF::vml_exp(*this); }
realvec exp10() const { return MF::vml_exp10(*this); }
realvec exp2() const { return MF::vml_exp2(*this); }
realvec expm1() const { return MF::vml_expm1(*this); }
realvec fabs() const { return MF::vml_fabs(*this); }
realvec fdim(realvec y) const { return MF::vml_fdim(*this, y); }
realvec floor() const { return _mm512_floor_pd(v); }
realvec fma(realvec y, realvec z) const {
return _mm512_fmadd_pd(v, x.v, y.v);
}
realvec fmax(realvec y) const { return _mm512_gmax_pd(v, y.v); }
realvec fmin(realvec y) const { return _mm512_gmin_pd(v, y.v); }
realvec fmod(realvec y) const { return MF::vml_fmod(*this, y); }
realvec frexp(intvec_t *r) const { return MF::vml_frexp(*this, r); }
realvec hypot(realvec 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 _mm512_cmp_pd(v, v, _CMP_UNORD_Q);
#else
return BV(false);
#endif
}
boolvec_t isnormal() const { return MF::vml_isnormal(*this); }
realvec ldexp(int_t n) const { return MF::vml_ldexp(*this, n); }
realvec ldexp(intvec_t n) const { return MF::vml_ldexp(*this, n); }
realvec log() const { return MF::vml_log(*this); }
realvec log10() const { return MF::vml_log10(*this); }
realvec log1p() const { return MF::vml_log1p(*this); }
realvec log2() const { return MF::vml_log2(*this); }
realvec_t mad(realvec_t y, realvec_t z) const {
return _mm512_fmadd_pd(v, x.v, y.v);
}
realvec nextafter(realvec y) const { return MF::vml_nextafter(*this, y); }
realvec pow(realvec y) const { return MF::vml_pow(*this, y); }
realvec rcp() const { return _mm512_div_pd(_mm512_set1_pd(1.0), v); }
realvec remainder(realvec y) const { return MF::vml_remainder(*this, y); }
realvec rint() const { return _mm512_round_pd(v, _MM_FROUND_TO_NEAREST_INT); }
realvec round() const { return MF::vml_round(*this); }
realvec rsqrt() const { return MF::vml_rsqrt(*this); }
boolvec_t signbit() const { return as_int().signbit(); }
realvec sin() const { return MF::vml_sin(*this); }
realvec sinh() const { return MF::vml_sinh(*this); }
realvec sqrt() const { return _mm512_sqrt_pd(v); }
realvec tan() const { return MF::vml_tan(*this); }
realvec tanh() const { return MF::vml_tanh(*this); }
realvec trunc() const { return _mm512_round_pd(v, _MM_FROUND_TO_ZERO); }
};
// boolvec definitions
inline intvec<double, 4> boolvec<double, 4>::as_int() const {
return _mm512_castpd_si512(v);
}
inline intvec<double, 4> boolvec<double, 4>::convert_int() const {
return ifthen(v, IV(I(1)), IV(I(0)));
}
inline boolvec<double, 4> boolvec<double, 4>::ifthen(boolvec_t x,
boolvec_t y) const {
return (v & x.v) | (~v & y.v);
}
inline intvec<double, 4> boolvec<double, 4>::ifthen(intvec_t x,
intvec_t y) const {
return _mm512_blend_epi64(v, y.v, x.v)
}
inline realvec<double, 4> boolvec<double, 4>::ifthen(realvec_t x,
realvec_t y) const {
return _mm512_blend_pd(v, y.v, x.v)
}
// intvec definitions
inline realvec<double, 4> intvec<double, 4>::as_float() const {
return _mm512_castsi512_pd(v);
}
inline realvec<double, 4> intvec<double, 4>::convert_float() const {
intvec_t r(_mm512_undefined_pd());
for (int n = 0; n < size; ++n) {
r.set_elt(n, floatprops::convert_float((*this)[n]));
}
return r;
}
inline intvec<double, 8> intvec<double, 8>::abs() const {
return MF::vml_abs(*this);
}
inline intvec<double, 8> intvec<double, 8>::bitifthen(intvec_t x,
intvec_t y) const {
return MF::vml_bitifthen(*this, x, y);
}
inline boolvec<double, 8> intvec<double, 8>::isignbit() const {
return MF::vml_isignbit(*this);
}
inline intvec<double, 8> intvec<double, 8>::max(intvec_t x) const {
return MF::vml_max(*this, x);
}
inline intvec<double, 8> intvec<double, 8>::min(intvec_t x) const {
return MF::vml_min(*this, x);
}
inline intvec<double, 8> intvec<double, 8>::rotate(int_t n) const {
return MF::vml_rotate(*this, n);
}
inline intvec<double, 8> intvec<double, 8>::rotate(intvec_t n) const {
return MF::vml_rotate(*this, n);
}
} // namespace vecmathlib
#endif // #ifndef VEC_MIC_DOUBLE8_H
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