// -*-C++-*- #ifndef VEC_VSX_DOUBLE2_H #define VEC_VSX_DOUBLE2_H #include "floatprops.h" #include "mathfuncs.h" #include "vec_base.h" #include // VSX intrinsics #include #undef vector #undef pixel #undef bool namespace vecmathlib { #define VECMATHLIB_HAVE_VEC_DOUBLE_2 template<> struct boolvec; template<> struct intvec; template<> struct realvec; template<> struct boolvec: floatprops { static int const size = 2; typedef bool scalar_t; typedef __vector __bool long long 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 are -1, false values are 0 // truth values are interpreted bit-wise static uint_t from_bool(bool a) { return -int_t(a); } static bool to_bool(uint_t a) { return a; } public: typedef boolvec boolvec_t; typedef intvec 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 FP; typedef mathfuncs 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(vec_splats(from_bool(a))) {} boolvec(bool const* as) { for (int d=0; d struct intvec: floatprops { static int const size = 2; typedef int_t scalar_t; typedef __vector long long ivector_t; static int const alignment = sizeof(ivector_t); static_assert(size * sizeof(real_t) == sizeof(ivector_t), "vector size is wrong"); typedef boolvec boolvec_t; typedef intvec 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 FP; typedef mathfuncs 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(vec_splats(a)) {} intvec(int_t const* as) { for (int d=0; d 1436 // exchange pairs static __vector unsigned char perm_int_swap() { return (__vector unsigned char) {4,5,6,7, 16,17,18,19, 12,13,14,15, 24,25,26,27}; } // 0123 4567 -> 0426 // broadcast high elements of pairs static __vector unsigned char perm_int_bchi() { return (__vector unsigned char) {0,1,2,3, 16,17,18,19, 8,9,10,11, 24,25,26,27}; } public: intvec operator+() const { return *this; } intvec operator-() const { return IV(I(0)) - *this; } intvec operator+(intvec x) const { // return vec_add(v, x.v); __vector unsigned int a = (__vector unsigned int)v; __vector unsigned int b = (__vector unsigned int)x.v; __vector unsigned int s = vec_add(a, b); __vector unsigned int c = vec_addc(a, b); __vector unsigned int z = vec_xor(z, z); c = vec_perm(c, z, perm_int_swap()); s = vec_add(s, c); return (__vector long long)s; } intvec operator-(intvec x) const { // return vec_sub(v, x.v); __vector unsigned int a = (__vector unsigned int)v; __vector unsigned int b = (__vector unsigned int)x.v; __vector unsigned int d = vec_sub(a, b); __vector unsigned int c = vec_subc(a, b); c = vec_sub(vec_splats(1U), c); __vector unsigned int z = vec_xor(z, z); c = vec_perm(c, z, perm_int_swap()); d = vec_sub(d, c); return (__vector long long)d; } intvec& operator+=(intvec const& x) { return *this=*this+x; } intvec& operator-=(intvec const& x) { return *this=*this-x; } intvec operator~() const { return (__vector long long)vec_nor((__vector int)v, (__vector int)v); } intvec operator&(intvec x) const { return (__vector long long)vec_and((__vector int)v, (__vector int)x.v); } intvec operator|(intvec x) const { return (__vector long long)vec_or ((__vector int)v, (__vector int)x.v); } intvec operator^(intvec x) const { return (__vector long long)vec_xor((__vector int)v, (__vector int)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 lsr(IV(n)); } intvec operator>>(int_t n) const { return *this >> IV(n); } intvec operator<<(int_t n) const { return *this << IV(n); } intvec& operator>>=(int_t n) { return *this=*this>>n; } intvec& operator<<=(int_t n) { return *this=*this<> U(n[i])); } return r; } intvec operator>>(intvec n) const { // return vec_sra(v, (__vector unsigned long long)n.v); intvec r; for (int i=0; i> n[i]); } return r; } intvec operator<<(intvec n) const { // return vec_sl(v, (__vector unsigned long long)n.v); intvec r; for (int i=0; i>=(intvec n) { return *this=*this>>n; } intvec& operator<<=(intvec n) { return *this=*this<> (bits-1)).as_bool(); } boolvec_t operator==(intvec const& x) const { // return vec_cmpeq(v, x.v); __vector int a = (__vector int)v; __vector int b = (__vector int)x.v; __vector __bool int c = vec_cmpeq(a, b); __vector __bool int cx = vec_perm(c, c, perm_int_swap()); __vector __bool int r = vec_and(c, cx); return (__vector __bool long long)r; } boolvec_t operator!=(intvec const& x) const { return !(*this == x); } boolvec_t operator<(intvec const& x) const { __vector int a = (__vector int)v; __vector int b = (__vector int)x.v; __vector __bool int lt = vec_cmplt(a, b); __vector __bool int eq = vec_cmpeq(a, b); __vector unsigned int ua = (__vector unsigned int)v; __vector unsigned int ub = (__vector unsigned int)x.v; __vector __bool int ult = vec_cmplt(ua, ub); __vector __bool int ultx = vec_perm(ult, ult, perm_int_swap()); __vector __bool int r = vec_or(lt, vec_and(eq, ultx)); r = vec_perm(r, r, perm_int_bchi()); return (__vector __bool long long)r; } boolvec_t operator<=(intvec const& x) const { return ! (*this > x); } boolvec_t operator>(intvec const& x) const { return x < *this; } boolvec_t operator>=(intvec const& x) const { return ! (*this < x); } }; template<> struct realvec: floatprops { static int const size = 2; typedef real_t scalar_t; typedef __vector double vector_t; static int const alignment = sizeof(vector_t); static char const* name() { return ""; } void barrier() { __asm__("": "+v"(v)); } static_assert(size * sizeof(real_t) == sizeof(vector_t), "vector size is wrong"); typedef boolvec boolvec_t; typedef intvec 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 FP; typedef mathfuncs 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(vec_splats(a)) {} realvec(real_t const* as) { for (int d=0; d mask_t; static realvec_t loada(real_t const* p) { VML_ASSERT(intptr_t(p) % alignment == 0); return vec_ld(0, (const __vector double*)p); } static realvec_t loadu(real_t const* p) { realvec_t v0 = vec_ld(0, (const __vector double*)p); realvec_t v1 = vec_ld(15, (const __vector double*)p); return vec_perm(v0.v, v1.v, vec_lvsl(0, 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); vec_st(v, 0, (__vector double*)p); } void storeu(real_t* p) const { // Vector stores would require vector loads, which would need to // be atomic // TODO: see for good ideas p[0] = (*this)[0]; p[1] = (*this)[1]; } 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 { // Use vec_ste? if (m.m[0]) p[0] = (*this)[0]; if (m.m[1]) p[1] = (*this)[1]; } } void storeu(real_t* p, mask_t const& m) const { if (__builtin_expect(m.all_m, true)) { storeu(p); } else { // Use vec_ste? if (m.m[0]) p[0] = (*this)[0]; if (m.m[1]) p[1] = (*this)[1]; } } 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 (__vector long long) v; } intvec_t convert_int() const { return MF::vml_convert_int(*this); } realvec operator+() const { return *this; } realvec operator-() const { return RV(0.0) - *this; } realvec operator+(realvec x) const { return vec_add(v, x.v); } realvec operator-(realvec x) const { return vec_sub(v, x.v); } realvec operator*(realvec x) const { return vec_mul(v, x.v); } realvec operator/(realvec x) const { return vec_div(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]; } boolvec_t operator==(realvec const& x) const { return vec_cmpeq(v, x.v); } boolvec_t operator!=(realvec const& x) const { return ! (*this == x); } boolvec_t operator<(realvec const& x) const { return vec_cmplt(v, x.v); } boolvec_t operator<=(realvec const& x) const { return vec_cmple(v, x.v); } boolvec_t operator>(realvec const& x) const { return vec_cmpgt(v, x.v); } boolvec_t operator>=(realvec const& x) const { return vec_cmpge(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 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 vec_ceil(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 vec_abs(v); } realvec fdim(realvec y) const { return MF::vml_fdim(*this, y); } realvec floor() const { return vec_floor(v); } realvec fma(realvec y, realvec z) const { return vec_madd(v, y.v, z.v); } realvec fmax(realvec y) const { return vec_max(v, y.v); } realvec fmin(realvec y) const { return vec_min(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 { return MF::vml_isnan(*this); } 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 nextafter(realvec y) const { return MF::vml_nextafter(*this, y); } realvec pow(realvec y) const { return MF::vml_pow(*this, y); } realvec rcp() const { realvec x = *this; realvec r = vec_re(v); // this is only an approximation // TODO: use fma // Note: don't rewrite this expression, this may introduce // cancellation errors r += r * (RV(1.0) - x*r); // two Newton iterations (see vml_rcp) r += r * (RV(1.0) - x*r); return r; } realvec remainder(realvec y) const { return MF::vml_remainder(*this, y); } realvec rint() const { return vec_rint(v); } realvec round() const { return MF::vml_round(*this); } realvec rsqrt() const { // realvec x = *this; // realvec r = vec_rsqrte(x.v); // this is only an approximation // // TODO: use fma // // one Newton iteration (see vml_rsqrt) // r += RV(0.5)*r * (RV(1.0) - x * r*r); // return r; return vec_rsqrt(v); } boolvec_t signbit() const { return MF::vml_signbit(*this); } realvec sin() const { return MF::vml_sin(*this); } realvec sinh() const { return MF::vml_sinh(*this); } // realvec sqrt() const { return *this * rsqrt(); } realvec sqrt() const { return vec_sqrt(v); } realvec tan() const { return MF::vml_tan(*this); } realvec tanh() const { return MF::vml_tanh(*this); } realvec trunc() const { return vec_trunc(v); } }; // boolvec definitions inline auto boolvec::as_int() const -> intvec_t { return (__vector long long) v; } inline auto boolvec::convert_int() const -> intvec_t { return -(__vector long long)v; } inline auto boolvec::ifthen(intvec_t x, intvec_t y) const -> intvec_t { return vec_sel(y.v, x.v, v); } inline auto boolvec::ifthen(realvec_t x, realvec_t y) const -> realvec_t { return vec_sel(y.v, x.v, v); } // intvec definitions inline auto intvec::as_float() const -> realvec_t { return (__vector double)v; } inline auto intvec::convert_float() const -> realvec_t { // return vec_ctd(v, 0); return MF::vml_convert_float(*this); } } // namespace vecmathlib #endif // #ifndef VEC_VSX_DOUBLE2_H