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// -*-C++-*-
#ifndef VEC_FLOAT_SSE2_H
#define VEC_FLOAT_SSE2_H
#include "floatprops.h"
#include "mathfuncs.h"
#include "vec_base.h"
#include <cmath>
// SSE2 intrinsics
#include <xmmintrin.h>
#if defined __SSE4_1__ // Intel's SSE 4.1
# include <smmintrin.h>
#endif
#if defined __SSE4A__ // AMD's SSE 4a
# include <ammintrin.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_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(((uint_t const*)&v)[n]);
boolvec x = *this;
switch (n){
case 0: /* do nothing */ break;
case 1: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1)); break;
case 2: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(1,0,3,2)); break;
case 3: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(0,1,2,3)); break;
default: assert(0);
}
// return to_bool(FP::as_int(_mm_cvtss_f32(x.v)));
return to_bool(_mm_cvtsi128_si32(_mm_castps_si128(x.v)));
}
boolvec& set_elt(int n, bool a)
{ return ((int_t*)&v)[n] = from_bool(a), *this; }
intvec_t as_int() const; // defined after intvec
intvec_t convert_int() const; // defined after intvec
boolvec operator!() const { return _mm_xor_ps(boolvec(true), v); }
boolvec operator&&(boolvec x) const { return _mm_and_ps(v, x.v); }
boolvec operator||(boolvec x) const { return _mm_or_ps(v, x.v); }
boolvec operator==(boolvec x) const { return !(*this==x); }
boolvec operator!=(boolvec x) const { return _mm_xor_ps(v, x.v); }
bool all() const;
bool any() const;
// ifthen(condition, then-value, else-value)
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_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])) {}
operator ivector_t() const { return v; }
int_t operator[](int n) const
{
// return ((int_t const*)&v)[n];
intvec x = *this;
switch (n){
case 0: /* do nothing */ break;
case 1: x = _mm_shuffle_epi32(x.v, _MM_SHUFFLE(2,3,0,1)); break;
case 2: x = _mm_shuffle_epi32(x.v, _MM_SHUFFLE(1,0,3,2)); break;
case 3: x = _mm_shuffle_epi32(x.v, _MM_SHUFFLE(0,1,2,3)); break;
default: assert(0);
}
return _mm_cvtsi128_si32(x.v);
}
intvec& set_elt(int n, int_t a) { return ((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 operator+() const { return *this; }
intvec operator-() const { return IV(0) - *this; }
intvec operator+(intvec x) const { return _mm_add_epi32(v, x.v); }
intvec operator-(intvec x) const { return _mm_sub_epi32(v, x.v); }
intvec& operator+=(intvec const& x) { return *this=*this+x; }
intvec& operator-=(intvec const& x) { return *this=*this-x; }
intvec operator~() const { return IV(~U(0)) ^ *this; }
intvec operator&(intvec x) const
{
return _mm_castps_si128(_mm_and_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec operator|(intvec x) const
{
return _mm_castps_si128(_mm_or_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec operator^(intvec x) const
{
return _mm_castps_si128(_mm_xor_ps(_mm_castsi128_ps(v),
_mm_castsi128_ps(x.v)));
}
intvec& operator&=(intvec const& x) { return *this=*this&x; }
intvec& operator|=(intvec const& x) { return *this=*this|x; }
intvec& operator^=(intvec const& x) { return *this=*this^x; }
intvec lsr(int_t n) const { return _mm_srli_epi32(v, n); }
intvec operator>>(int_t n) const { return _mm_srai_epi32(v, n); }
intvec operator<<(int_t n) const { return _mm_slli_epi32(v, n); }
intvec& operator>>=(int_t n) { return *this=*this>>n; }
intvec& operator<<=(int_t n) { return *this=*this<<n; }
intvec lsr(intvec n) const { return _mm_srl_epi32(v, n.v); }
intvec operator>>(intvec n) const { return _mm_sra_epi32(v, n.v); }
intvec operator<<(intvec n) const { return _mm_sll_epi32(v, n.v); }
intvec& operator>>=(intvec n) { return *this=*this>>n; }
intvec& operator<<=(intvec n) { return *this=*this<<n; }
boolvec_t operator==(intvec const& x) const
{
return ! (*this != x);
}
boolvec_t operator!=(intvec const& x) const
{
return (*this ^ x).convert_bool();
}
};
template<>
struct realvec<float,4>: floatprops<float>
{
static int const size = 4;
typedef real_t scalar_t;
typedef __m128 vector_t;
static char const* name() { return "<SSE2:4*float>"; }
inline 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 ((real_t const*)&v)[n];
realvec x = *this;
switch (n){
case 0: /* do nothing */ break;
case 1: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1)); break;
case 2: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(1,0,3,2)); break;
case 3: x = _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(0,1,2,3)); break;
default: assert(0);
}
return _mm_cvtss_f32(x.v);
}
realvec& set_elt(int n, real_t a) { return ((real_t*)&v)[n]=a, *this; }
intvec_t as_int() const { return _mm_castps_si128(v); }
intvec_t convert_int() const { return _mm_cvtps_epi32(v); }
realvec operator+() const { return *this; }
realvec operator-() const { return RV(0.0) - *this; }
realvec operator+(realvec x) const { return _mm_add_ps(v, x.v); }
realvec operator-(realvec x) const { return _mm_sub_ps(v, x.v); }
realvec operator*(realvec x) const { return _mm_mul_ps(v, x.v); }
realvec operator/(realvec x) const { return _mm_div_ps(v, x.v); }
realvec& operator+=(realvec const& x) { return *this=*this+x; }
realvec& operator-=(realvec const& x) { return *this=*this-x; }
realvec& operator*=(realvec const& x) { return *this=*this*x; }
realvec& operator/=(realvec const& x) { return *this=*this/x; }
real_t prod() const
{
return (*this)[0] * (*this)[1] * (*this)[2] * (*this)[3];
}
real_t sum() const
{
// return (*this)[0] + (*this)[1] + (*this)[2] + (*this)[3];
realvec x = *this;
x = _mm_hadd_ps(x.v, x.v);
x = _mm_hadd_ps(x.v, x.v);
return x[0];
}
boolvec_t operator==(realvec const& x) const
{
return _mm_cmpeq_ps(v, x.v);
}
boolvec_t operator!=(realvec const& x) const
{
return _mm_cmpneq_ps(v, x.v);
}
boolvec_t operator<(realvec const& x) const
{
return _mm_cmplt_ps(v, x.v);
}
boolvec_t operator<=(realvec const& x) const
{
return _mm_cmple_ps(v, x.v);
}
boolvec_t operator>(realvec const& x) const
{
return _mm_cmpgt_ps(v, x.v);
}
boolvec_t operator>=(realvec const& x) const
{
return _mm_cmpge_ps(v, x.v);
}
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 atanh() const { return MF::vml_atanh(*this); }
realvec ceil() const { return _mm_ceil_ps(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 _mm_floor_ps(v); }
realvec fma(realvec y, realvec z) const { return MF::vml_fma(*this, y, z); }
realvec fmax(realvec y) const { return _mm_max_ps(v, y.v); }
realvec fmin(realvec y) const { return _mm_min_ps(v, y.v); }
realvec fmod(realvec y) const { return MF::vml_fmod(*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 { return MF::vml_isnan(*this); }
boolvec_t isnormal() const { return MF::vml_isnormal(*this); }
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 pow(realvec y) const { return MF::vml_pow(*this, y); }
realvec rcp() const
{
realvec x = *this;
realvec 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 remainder(realvec y) const { return MF::vml_remainder(*this, y); }
realvec round() const { return _mm_round_ps(v, _MM_FROUND_NINT); }
realvec rsqrt() const
{
realvec x = *this;
realvec 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;
}
realvec scalbn(intvec_t n) const { return MF::vml_scalbn(*this, n); }
boolvec_t signbit() const { return v; }
realvec sin() const { return MF::vml_sin(*this); }
realvec sinh() const { return MF::vml_sinh(*this); }
realvec sqrt() const { return _mm_sqrt_ps(v); }
realvec tan() const { return MF::vml_tan(*this); }
realvec tanh() const { return MF::vml_tanh(*this); }
};
// boolvec definitions
inline
auto boolvec<float,4>::as_int() const -> intvec_t
{
return _mm_castps_si128(v);
}
inline
auto boolvec<float,4>::convert_int() const -> intvec_t
{
return lsr(as_int(), bits-1);
}
inline
bool boolvec<float,4>::all() const
{
// return (*this)[0] && (*this)[1] && (*this)[2] && (*this)[3];
boolvec x = *this;
x = x && _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(1,0,3,2));
x = x && _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1));
return x[0];
}
inline
bool boolvec<float,4>::any() const
{
// return (*this)[0] || (*this)[1] || (*this)[2] || (*this)[3];
boolvec x = *this;
x = x || _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(1,0,3,2));
x = x || _mm_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2,3,0,1));
return x[0];
}
inline
auto boolvec<float,4>::ifthen(intvec_t x, intvec_t y) const -> intvec_t
{
return ifthen(x.as_float(), y.as_float()).as_int();
}
inline
auto boolvec<float,4>::ifthen(realvec_t x, realvec_t y) const -> realvec_t
{
return _mm_blendv_ps(y.v, x.v, v);
}
// intvec definitions
inline auto intvec<float,4>::as_float() const -> realvec_t
{
return _mm_castsi128_ps(v);
}
inline auto intvec<float,4>::convert_float() const -> realvec_t
{
return _mm_cvtepi32_ps(v);
}
} // namespace vecmathlib
#endif // #ifndef VEC_FLOAT_SSE2_H
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