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00001 // This file is part of Eigen, a lightweight C++ template library 00002 // for linear algebra. 00003 // 00004 // Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr> 00005 // 00006 // This Source Code Form is subject to the terms of the Mozilla 00007 // Public License v. 2.0. If a copy of the MPL was not distributed 00008 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 00009 00010 #ifndef EIGEN_COMPLEX_ALTIVEC_H 00011 #define EIGEN_COMPLEX_ALTIVEC_H 00012 00013 namespace Eigen { 00014 00015 namespace internal { 00016 00017 static Packet4ui p4ui_CONJ_XOR = vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_ZERO_);//{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 }; 00018 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 }; 00019 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 }; 00020 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 }; 00021 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 }; 00022 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 }; 00023 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 }; 00024 00025 //---------- float ---------- 00026 struct Packet2cf 00027 { 00028 EIGEN_STRONG_INLINE Packet2cf() {} 00029 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {} 00030 Packet4f v; 00031 }; 00032 00033 template<> struct packet_traits<std::complex<float> > : default_packet_traits 00034 { 00035 typedef Packet2cf type; 00036 enum { 00037 Vectorizable = 1, 00038 AlignedOnScalar = 1, 00039 size = 2, 00040 00041 HasAdd = 1, 00042 HasSub = 1, 00043 HasMul = 1, 00044 HasDiv = 1, 00045 HasNegate = 1, 00046 HasAbs = 0, 00047 HasAbs2 = 0, 00048 HasMin = 0, 00049 HasMax = 0, 00050 HasSetLinear = 0 00051 }; 00052 }; 00053 00054 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; }; 00055 00056 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from) 00057 { 00058 Packet2cf res; 00059 /* On AltiVec we cannot load 64-bit registers, so wa have to take care of alignment */ 00060 if((ptrdiff_t(&from) % 16) == 0) 00061 res.v = pload<Packet4f>((const float *)&from); 00062 else 00063 res.v = ploadu<Packet4f>((const float *)&from); 00064 res.v = vec_perm(res.v, res.v, p16uc_PSET_HI); 00065 return res; 00066 } 00067 00068 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_add(a.v,b.v)); } 00069 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_sub(a.v,b.v)); } 00070 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(a.v)); } 00071 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) { return Packet2cf((Packet4f)vec_xor((Packet4ui)a.v, p4ui_CONJ_XOR)); } 00072 00073 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 00074 { 00075 Packet4f v1, v2; 00076 00077 // Permute and multiply the real parts of a and b 00078 v1 = vec_perm(a.v, a.v, p16uc_COMPLEX_RE); 00079 // Get the imaginary parts of a 00080 v2 = vec_perm(a.v, a.v, p16uc_COMPLEX_IM); 00081 // multiply a_re * b 00082 v1 = vec_madd(v1, b.v, p4f_ZERO); 00083 // multiply a_im * b and get the conjugate result 00084 v2 = vec_madd(v2, b.v, p4f_ZERO); 00085 v2 = (Packet4f) vec_xor((Packet4ui)v2, p4ui_CONJ_XOR); 00086 // permute back to a proper order 00087 v2 = vec_perm(v2, v2, p16uc_COMPLEX_REV); 00088 00089 return Packet2cf(vec_add(v1, v2)); 00090 } 00091 00092 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_and(a.v,b.v)); } 00093 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_or(a.v,b.v)); } 00094 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_xor(a.v,b.v)); } 00095 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))); } 00096 00097 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); } 00098 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); } 00099 00100 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) 00101 { 00102 return pset1<Packet2cf>(*from); 00103 } 00104 00105 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); } 00106 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); } 00107 00108 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); } 00109 00110 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a) 00111 { 00112 std::complex<float> EIGEN_ALIGN16 res[2]; 00113 pstore((float *)&res, a.v); 00114 00115 return res[0]; 00116 } 00117 00118 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) 00119 { 00120 Packet4f rev_a; 00121 rev_a = vec_perm(a.v, a.v, p16uc_COMPLEX_REV2); 00122 return Packet2cf(rev_a); 00123 } 00124 00125 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a) 00126 { 00127 Packet4f b; 00128 b = (Packet4f) vec_sld(a.v, a.v, 8); 00129 b = padd(a.v, b); 00130 return pfirst(Packet2cf(b)); 00131 } 00132 00133 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs) 00134 { 00135 Packet4f b1, b2; 00136 00137 b1 = (Packet4f) vec_sld(vecs[0].v, vecs[1].v, 8); 00138 b2 = (Packet4f) vec_sld(vecs[1].v, vecs[0].v, 8); 00139 b2 = (Packet4f) vec_sld(b2, b2, 8); 00140 b2 = padd(b1, b2); 00141 00142 return Packet2cf(b2); 00143 } 00144 00145 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a) 00146 { 00147 Packet4f b; 00148 Packet2cf prod; 00149 b = (Packet4f) vec_sld(a.v, a.v, 8); 00150 prod = pmul(a, Packet2cf(b)); 00151 00152 return pfirst(prod); 00153 } 00154 00155 template<int Offset> 00156 struct palign_impl<Offset,Packet2cf> 00157 { 00158 static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second) 00159 { 00160 if (Offset==1) 00161 { 00162 first.v = vec_sld(first.v, second.v, 8); 00163 } 00164 } 00165 }; 00166 00167 template<> struct conj_helper<Packet2cf, Packet2cf, false,true> 00168 { 00169 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00170 { return padd(pmul(x,y),c); } 00171 00172 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00173 { 00174 return internal::pmul(a, pconj(b)); 00175 } 00176 }; 00177 00178 template<> struct conj_helper<Packet2cf, Packet2cf, true,false> 00179 { 00180 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00181 { return padd(pmul(x,y),c); } 00182 00183 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00184 { 00185 return internal::pmul(pconj(a), b); 00186 } 00187 }; 00188 00189 template<> struct conj_helper<Packet2cf, Packet2cf, true,true> 00190 { 00191 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00192 { return padd(pmul(x,y),c); } 00193 00194 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00195 { 00196 return pconj(internal::pmul(a, b)); 00197 } 00198 }; 00199 00200 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 00201 { 00202 // TODO optimize it for AltiVec 00203 Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b); 00204 Packet4f s = vec_madd(b.v, b.v, p4f_ZERO); 00205 return Packet2cf(pdiv(res.v, vec_add(s,vec_perm(s, s, p16uc_COMPLEX_REV)))); 00206 } 00207 00208 template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& x) 00209 { 00210 return Packet2cf(vec_perm(x.v, x.v, p16uc_COMPLEX_REV)); 00211 } 00212 00213 } // end namespace internal 00214 00215 } // end namespace Eigen 00216 00217 #endif // EIGEN_COMPLEX_ALTIVEC_H