1 // This file is part of Eigen, a lightweight C++ template library 2 // for linear algebra. 3 // 4 // Copyright (C) 2010 Gael Guennebaud <gael.guennebaud (at) inria.fr> 5 // 6 // This Source Code Form is subject to the terms of the Mozilla 7 // Public License v. 2.0. If a copy of the MPL was not distributed 8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 9 10 #ifndef EIGEN_COMPLEX_ALTIVEC_H 11 #define EIGEN_COMPLEX_ALTIVEC_H 12 13 namespace Eigen { 14 15 namespace internal { 16 17 static Packet4ui p4ui_CONJ_XOR = vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_ZERO_);//{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 }; 18 static Packet16uc p16uc_COMPLEX_RE = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }; 19 static Packet16uc p16uc_COMPLEX_IM = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 1), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 }; 20 static Packet16uc p16uc_COMPLEX_REV = vec_sld(p16uc_REVERSE, p16uc_REVERSE, 8);//{ 4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11 }; 21 static Packet16uc p16uc_COMPLEX_REV2 = vec_sld(p16uc_FORWARD, p16uc_FORWARD, 8);//{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 }; 22 static Packet16uc p16uc_PSET_HI = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 1));//{ 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 }; 23 static Packet16uc p16uc_PSET_LO = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 2), (Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 3));//{ 8,9,10,11, 12,13,14,15, 8,9,10,11, 12,13,14,15 }; 24 25 //---------- float ---------- 26 struct Packet2cf 27 { 28 EIGEN_STRONG_INLINE Packet2cf() {} 29 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {} 30 Packet4f v; 31 }; 32 33 template<> struct packet_traits<std::complex<float> > : default_packet_traits 34 { 35 typedef Packet2cf type; 36 enum { 37 Vectorizable = 1, 38 AlignedOnScalar = 1, 39 size = 2, 40 41 HasAdd = 1, 42 HasSub = 1, 43 HasMul = 1, 44 HasDiv = 1, 45 HasNegate = 1, 46 HasAbs = 0, 47 HasAbs2 = 0, 48 HasMin = 0, 49 HasMax = 0, 50 HasSetLinear = 0 51 }; 52 }; 53 54 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; }; 55 56 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from) 57 { 58 Packet2cf res; 59 /* On AltiVec we cannot load 64-bit registers, so wa have to take care of alignment */ 60 if((ptrdiff_t(&from) % 16) == 0) 61 res.v = pload<Packet4f>((const float *)&from); 62 else 63 res.v = ploadu<Packet4f>((const float *)&from); 64 res.v = vec_perm(res.v, res.v, p16uc_PSET_HI); 65 return res; 66 } 67 68 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_add(a.v,b.v)); } 69 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_sub(a.v,b.v)); } 70 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(a.v)); } 71 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) { return Packet2cf((Packet4f)vec_xor((Packet4ui)a.v, p4ui_CONJ_XOR)); } 72 73 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 74 { 75 Packet4f v1, v2; 76 77 // Permute and multiply the real parts of a and b 78 v1 = vec_perm(a.v, a.v, p16uc_COMPLEX_RE); 79 // Get the imaginary parts of a 80 v2 = vec_perm(a.v, a.v, p16uc_COMPLEX_IM); 81 // multiply a_re * b 82 v1 = vec_madd(v1, b.v, p4f_ZERO); 83 // multiply a_im * b and get the conjugate result 84 v2 = vec_madd(v2, b.v, p4f_ZERO); 85 v2 = (Packet4f) vec_xor((Packet4ui)v2, p4ui_CONJ_XOR); 86 // permute back to a proper order 87 v2 = vec_perm(v2, v2, p16uc_COMPLEX_REV); 88 89 return Packet2cf(vec_add(v1, v2)); 90 } 91 92 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_and(a.v,b.v)); } 93 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_or(a.v,b.v)); } 94 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_xor(a.v,b.v)); } 95 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_and(a.v, vec_nor(b.v,b.v))); } 96 97 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); } 98 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); } 99 100 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) 101 { 102 return pset1<Packet2cf>(*from); 103 } 104 105 template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((float*)to, from.v); } 106 template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((float*)to, from.v); } 107 108 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { vec_dstt((float *)addr, DST_CTRL(2,2,32), DST_CHAN); } 109 110 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a) 111 { 112 std::complex<float> EIGEN_ALIGN16 res[2]; 113 pstore((float *)&res, a.v); 114 115 return res[0]; 116 } 117 118 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) 119 { 120 Packet4f rev_a; 121 rev_a = vec_perm(a.v, a.v, p16uc_COMPLEX_REV2); 122 return Packet2cf(rev_a); 123 } 124 125 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a) 126 { 127 Packet4f b; 128 b = (Packet4f) vec_sld(a.v, a.v, 8); 129 b = padd(a.v, b); 130 return pfirst(Packet2cf(b)); 131 } 132 133 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs) 134 { 135 Packet4f b1, b2; 136 137 b1 = (Packet4f) vec_sld(vecs[0].v, vecs[1].v, 8); 138 b2 = (Packet4f) vec_sld(vecs[1].v, vecs[0].v, 8); 139 b2 = (Packet4f) vec_sld(b2, b2, 8); 140 b2 = padd(b1, b2); 141 142 return Packet2cf(b2); 143 } 144 145 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a) 146 { 147 Packet4f b; 148 Packet2cf prod; 149 b = (Packet4f) vec_sld(a.v, a.v, 8); 150 prod = pmul(a, Packet2cf(b)); 151 152 return pfirst(prod); 153 } 154 155 template<int Offset> 156 struct palign_impl<Offset,Packet2cf> 157 { 158 static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second) 159 { 160 if (Offset==1) 161 { 162 first.v = vec_sld(first.v, second.v, 8); 163 } 164 } 165 }; 166 167 template<> struct conj_helper<Packet2cf, Packet2cf, false,true> 168 { 169 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 170 { return padd(pmul(x,y),c); } 171 172 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 173 { 174 return internal::pmul(a, pconj(b)); 175 } 176 }; 177 178 template<> struct conj_helper<Packet2cf, Packet2cf, true,false> 179 { 180 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 181 { return padd(pmul(x,y),c); } 182 183 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 184 { 185 return internal::pmul(pconj(a), b); 186 } 187 }; 188 189 template<> struct conj_helper<Packet2cf, Packet2cf, true,true> 190 { 191 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 192 { return padd(pmul(x,y),c); } 193 194 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 195 { 196 return pconj(internal::pmul(a, b)); 197 } 198 }; 199 200 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 201 { 202 // TODO optimize it for AltiVec 203 Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b); 204 Packet4f s = vec_madd(b.v, b.v, p4f_ZERO); 205 return Packet2cf(pdiv(res.v, vec_add(s,vec_perm(s, s, p16uc_COMPLEX_REV)))); 206 } 207 208 template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& x) 209 { 210 return Packet2cf(vec_perm(x.v, x.v, p16uc_COMPLEX_REV)); 211 } 212 213 } // end namespace internal 214 215 } // end namespace Eigen 216 217 #endif // EIGEN_COMPLEX_ALTIVEC_H 218
