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|
// -*-C++-*-
#ifndef VEC_SSE_FLOAT4_H
#define VEC_SSE_FLOAT4_H
#include "floatprops.h"
#include "mathfuncs.h"
#include "vec_base.h"
#include <cmath>
// SSE2 intrinsics
#include <xmmintrin.h>
#ifdef __SSE3__ // Intel's SSE 3
#include <pmmintrin.h>
#endif
#ifdef __SSSE3__ // Intel's SSSE 3
#include <tmmintrin.h>
#endif
#if defined __SSE4_1__ // Intel's SSE 4.1
#include <smmintrin.h>
#endif
#if defined __SSE4A__ // AMD's SSE 4a
#include <ammintrin.h>
#endif
#if defined __AVX__ // Intel's AVX
#include <immintrin.h>
#endif
namespace vecmathlib {
#define VECMATHLIB_HAVE_VEC_FLOAT_4
template <> struct boolvec<float, 4>;
template <> struct intvec<float, 4>;
template <> struct realvec<float, 4>;
template <> struct boolvec<float, 4> : floatprops<float> {
static int const size = 4;
typedef bool scalar_t;
typedef __m128 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 -int_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(_mm_castsi128_ps(_mm_set1_epi32(from_bool(a)))) {}
boolvec(bool const *as)
: v(_mm_castsi128_ps(_mm_set_epi32(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 _mm_xor_ps(boolvec(true), v); }
boolvec_t operator&&(boolvec_t x) const { return _mm_and_ps(v, x.v); }
boolvec_t operator||(boolvec_t x) const { return _mm_or_ps(v, x.v); }
boolvec_t operator==(boolvec_t x) const { return !(*this != x); }
boolvec_t operator!=(boolvec_t x) const { return _mm_xor_ps(v, x.v); }
bool all() const {
// return (*this)[0] && (*this)[1] && (*this)[2] && (*this)[3];
#if defined __AVX__
return !(!*this).any();
#else
boolvec_t x = *this;
x = x && _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2, 3, 0, 1));
return x[0] && x[2];
#endif
}
bool any() const {
// return (*this)[0] || (*this)[1] || (*this)[2] || (*this)[3];
#if defined __AVX__
return !bool(_mm_testz_ps(v, v));
#else
boolvec_t x = *this;
x = x || _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2, 3, 0, 1));
return x[0] || x[2];
#endif
}
// 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, 4> : floatprops<float> {
static int const size = 4;
typedef int_t scalar_t;
typedef __m128i 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(_mm_set1_epi32(a)) {}
intvec(int_t const *as) : v(_mm_set_epi32(as[3], as[2], as[1], as[0])) {}
static intvec_t iota() { return _mm_set_epi32(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 _mm_castsi128_ps(v); }
boolvec_t convert_bool() const {
// Result: convert_bool(0)=false, convert_bool(else)=true
return !IV(_mm_cmpeq_epi32(v, IV(0))).as_bool();
}
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 { return _mm_add_epi32(v, x.v); }
intvec_t operator-(intvec_t x) const { return _mm_sub_epi32(v, x.v); }
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 {
return _mm_castps_si128(
_mm_and_ps(_mm_castsi128_ps(v), _mm_castsi128_ps(x.v)));
}
intvec_t operator|(intvec_t x) const {
return _mm_castps_si128(
_mm_or_ps(_mm_castsi128_ps(v), _mm_castsi128_ps(x.v)));
}
intvec_t operator^(intvec_t x) const {
return _mm_castps_si128(
_mm_xor_ps(_mm_castsi128_ps(v), _mm_castsi128_ps(x.v)));
}
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 { return _mm_srli_epi32(v, n); }
intvec_t rotate(int_t n) const;
intvec_t operator>>(int_t n) const { return _mm_srai_epi32(v, n); }
intvec_t operator<<(int_t n) const { return _mm_slli_epi32(v, n); }
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 {
intvec_t 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_t operator>>(intvec_t n) const {
intvec_t r;
for (int i = 0; i < size; ++i) {
r.set_elt(i, (*this)[i] >> n[i]);
}
return r;
}
intvec_t operator<<(intvec_t n) const {
intvec_t r;
for (int i = 0; i < size; ++i) {
r.set_elt(i, (*this)[i] << n[i]);
}
return r;
}
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 { return !(*this != x); }
boolvec_t operator!=(intvec_t const &x) const {
return (*this ^ x).convert_bool();
}
boolvec_t operator<(intvec_t const &x) const {
// 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;
}
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, 4> : floatprops<float> {
static int const size = 4;
typedef real_t scalar_t;
typedef __m128 vector_t;
static int const alignment = sizeof(vector_t);
static char const *name() { return "<SSE2:4*float>"; }
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(_mm_set1_ps(a)) {}
realvec(real_t const *as) : v(_mm_set_ps(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 _mm_load_ps(p);
}
static realvec_t loadu(real_t const *p) { return _mm_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);
if (ioff == 0)
return loada(p);
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);
_mm_store_ps(p, v);
}
void storeu(real_t *p) const { return _mm_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 {
#if defined __AVX__
_mm_maskstore_ps(p, m.m.as_int(), v);
#else
if (m.m[0])
p[0] = (*this)[0];
if (m.m[1])
p[1] = (*this)[1];
if (m.m[2])
p[2] = (*this)[2];
if (m.m[3])
p[3] = (*this)[3];
#endif
}
}
void storeu(real_t *p, mask_t const &m) const {
if (__builtin_expect(m.all_m, true)) {
storeu(p);
} else {
if (m.m[0])
p[0] = (*this)[0];
if (m.m[1])
p[1] = (*this)[1];
if (m.m[2])
p[2] = (*this)[2];
if (m.m[3])
p[3] = (*this)[3];
}
}
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 _mm_castps_si128(v); }
intvec_t convert_int() const { return _mm_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 _mm_add_ps(v, x.v); }
realvec_t operator-(realvec_t x) const { return _mm_sub_ps(v, x.v); }
realvec_t operator*(realvec_t x) const { return _mm_mul_ps(v, x.v); }
realvec_t operator/(realvec_t x) const { return _mm_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((*this)[0], (*this)[1]),
// vml_std::fmax((*this)[2], (*this)[3]));
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123.fmax(x1032);
return vml_std::fmax(y0022[0], y0022[2]);
}
real_t minval() const {
// return vml_std::fmin(vml_std::fmin((*this)[0], (*this)[1]),
// vml_std::fmin((*this)[2], (*this)[3]));
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123.fmin(x1032);
return vml_std::fmin(y0022[0], y0022[2]);
}
real_t prod() const {
// return (*this)[0] * (*this)[1] * (*this)[2] * (*this)[3];
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123 * x1032;
return y0022[0] * y0022[2];
}
real_t sum() const {
#ifdef __SSE3__
realvec_t x = *this;
x = _mm_hadd_ps(x.v, x.v);
x = _mm_hadd_ps(x.v, x.v);
return x[0];
#else
// return (*this)[0] + (*this)[1] + (*this)[2] + (*this)[3];
realvec_t x0123 = *this;
realvec_t x1032 = _mm_shuffle_ps(x0123, x0123, 0b10110001);
realvec_t y0022 = x0123 + x1032;
return y0022[0] + y0022[2];
#endif
}
boolvec_t operator==(realvec_t const &x) const {
return _mm_cmpeq_ps(v, x.v);
}
boolvec_t operator!=(realvec_t const &x) const {
return _mm_cmpneq_ps(v, x.v);
}
boolvec_t operator<(realvec_t const &x) const { return _mm_cmplt_ps(v, x.v); }
boolvec_t operator<=(realvec_t const &x) const {
return _mm_cmple_ps(v, x.v);
}
boolvec_t operator>(realvec_t const &x) const { return _mm_cmpgt_ps(v, x.v); }
boolvec_t operator>=(realvec_t const &x) const {
return _mm_cmpge_ps(v, x.v);
}
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 {
#ifdef __SSE4_1__
return _mm_ceil_ps(v);
#else
return MF::vml_ceil(*this);
#endif
}
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 {
#ifdef __SSE4_1__
return _mm_floor_ps(v);
#else
return MF::vml_floor(*this);
#endif
}
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 _mm_max_ps(v, y.v); }
realvec_t fmin(realvec_t y) const { return _mm_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 {
#if defined VML_HAVE_NAN
return _mm_cmpunord_ps(v, v);
#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 = _mm_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 {
#ifdef __SSE4_1__
return _mm_round_ps(v, _MM_FROUND_TO_NEAREST_INT);
#else
return MF::vml_rint(*this);
#endif
}
realvec_t round() const { return MF::vml_round(*this); }
realvec_t rsqrt() const {
realvec_t x = *this;
realvec_t r = _mm_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 _mm_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 {
#ifdef __SSE4_1__
return _mm_round_ps(v, _MM_FROUND_TO_ZERO);
#else
return MF::vml_trunc(*this);
#endif
}
};
// boolvec definitions
inline intvec<float, 4> boolvec<float, 4>::as_int() const {
return _mm_castps_si128(v);
}
inline intvec<float, 4> boolvec<float, 4>::convert_int() const {
return lsr(as_int(), bits - 1);
}
inline boolvec<float, 4> boolvec<float, 4>::ifthen(boolvec_t x,
boolvec_t y) const {
return ifthen(x.as_int(), y.as_int()).as_bool();
}
inline intvec<float, 4> boolvec<float, 4>::ifthen(intvec_t x,
intvec_t y) const {
return ifthen(x.as_float(), y.as_float()).as_int();
}
inline realvec<float, 4> boolvec<float, 4>::ifthen(realvec_t x,
realvec_t y) const {
#ifdef __SSE4_1__
return _mm_blendv_ps(y.v, x.v, v);
#else
return ((-convert_int() & x.as_int()) | (~ - convert_int() & y.as_int()))
.as_float();
#endif
}
// intvec definitions
inline intvec<float, 4> intvec<float, 4>::abs() const {
#ifdef __SSSE3__
return _mm_abs_epi32(v);
#else
return MF::vml_abs(*this);
#endif
}
inline realvec<float, 4> intvec<float, 4>::as_float() const {
return _mm_castsi128_ps(v);
}
inline intvec<float, 4> intvec<float, 4>::bitifthen(intvec_t x,
intvec_t y) const {
return MF::vml_bitifthen(*this, x, y);
}
inline intvec<float, 4> intvec<float, 4>::clz() const {
return MF::vml_clz(*this);
}
inline realvec<float, 4> intvec<float, 4>::convert_float() const {
return _mm_cvtepi32_ps(v);
}
inline intvec<float, 4> intvec<float, 4>::max(intvec_t x) const {
#ifdef __SSE4_1__
return _mm_max_epi32(v, x.v);
#else
return MF::vml_max(*this, x);
#endif
}
inline intvec<float, 4> intvec<float, 4>::min(intvec_t x) const {
#ifdef __SSE4_1__
return _mm_min_epi32(v, x.v);
#else
return MF::vml_min(*this, x);
#endif
}
inline intvec<float, 4> intvec<float, 4>::popcount() const {
return MF::vml_popcount(*this);
}
inline intvec<float, 4> intvec<float, 4>::rotate(int_t n) const {
return MF::vml_rotate(*this, n);
}
inline intvec<float, 4> intvec<float, 4>::rotate(intvec_t n) const {
return MF::vml_rotate(*this, n);
}
} // namespace vecmathlib
#endif // #ifndef VEC_SSE_FLOAT4_H
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