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Eigen
3.3.3
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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 // Copyright (C) 2016 Konstantinos Margaritis <markos@freevec.org> 00006 // 00007 // This Source Code Form is subject to the terms of the Mozilla 00008 // Public License v. 2.0. If a copy of the MPL was not distributed 00009 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 00010 00011 #ifndef EIGEN_COMPLEX32_ALTIVEC_H 00012 #define EIGEN_COMPLEX32_ALTIVEC_H 00013 00014 namespace Eigen { 00015 00016 namespace internal { 00017 00018 static Packet2ul p2ul_CONJ_XOR1 = (Packet2ul) vec_sld((Packet4ui) p2d_ZERO_, (Packet4ui) p2l_ZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 }; 00019 static Packet2ul p2ul_CONJ_XOR2 = (Packet2ul) vec_sld((Packet4ui) p2l_ZERO, (Packet4ui) p2d_ZERO_, 8);//{ 0x8000000000000000, 0x0000000000000000 }; 00020 00021 struct Packet1cd 00022 { 00023 EIGEN_STRONG_INLINE Packet1cd() {} 00024 EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {} 00025 Packet2d v; 00026 }; 00027 00028 struct Packet2cf 00029 { 00030 EIGEN_STRONG_INLINE Packet2cf() {} 00031 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {} 00032 union { 00033 Packet4f v; 00034 Packet1cd cd[2]; 00035 }; 00036 }; 00037 00038 template<> struct packet_traits<std::complex<float> > : default_packet_traits 00039 { 00040 typedef Packet2cf type; 00041 typedef Packet2cf half; 00042 enum { 00043 Vectorizable = 1, 00044 AlignedOnScalar = 1, 00045 size = 2, 00046 HasHalfPacket = 0, 00047 00048 HasAdd = 1, 00049 HasSub = 1, 00050 HasMul = 1, 00051 HasDiv = 1, 00052 HasNegate = 1, 00053 HasAbs = 0, 00054 HasAbs2 = 0, 00055 HasMin = 0, 00056 HasMax = 0, 00057 HasBlend = 1, 00058 HasSetLinear = 0 00059 }; 00060 }; 00061 00062 00063 template<> struct packet_traits<std::complex<double> > : default_packet_traits 00064 { 00065 typedef Packet1cd type; 00066 typedef Packet1cd half; 00067 enum { 00068 Vectorizable = 1, 00069 AlignedOnScalar = 1, 00070 size = 1, 00071 HasHalfPacket = 0, 00072 00073 HasAdd = 1, 00074 HasSub = 1, 00075 HasMul = 1, 00076 HasDiv = 1, 00077 HasNegate = 1, 00078 HasAbs = 0, 00079 HasAbs2 = 0, 00080 HasMin = 0, 00081 HasMax = 0, 00082 HasSetLinear = 0 00083 }; 00084 }; 00085 00086 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16}; typedef Packet2cf half; }; 00087 template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16}; typedef Packet1cd half; }; 00088 00089 /* Forward declaration */ 00090 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel); 00091 00092 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); } 00093 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); } 00094 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); } 00095 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); } 00096 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); } 00097 template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); } 00098 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); } 00099 template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); } 00100 00101 template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from) 00102 { /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); } 00103 00104 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from) 00105 { 00106 Packet2cf res; 00107 res.cd[0] = Packet1cd(vec_ld2f((const float *)&from)); 00108 res.cd[1] = res.cd[0]; 00109 return res; 00110 } 00111 template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride) 00112 { 00113 std::complex<float> EIGEN_ALIGN16 af[2]; 00114 af[0] = from[0*stride]; 00115 af[1] = from[1*stride]; 00116 return pload<Packet2cf>(af); 00117 } 00118 template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index stride EIGEN_UNUSED) 00119 { 00120 return pload<Packet1cd>(from); 00121 } 00122 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride) 00123 { 00124 std::complex<float> EIGEN_ALIGN16 af[2]; 00125 pstore<std::complex<float> >((std::complex<float> *) af, from); 00126 to[0*stride] = af[0]; 00127 to[1*stride] = af[1]; 00128 } 00129 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to, const Packet1cd& from, Index stride EIGEN_UNUSED) 00130 { 00131 pstore<std::complex<double> >(to, from); 00132 } 00133 00134 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(padd<Packet4f>(a.v, b.v)); } 00135 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v + b.v); } 00136 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(psub<Packet4f>(a.v, b.v)); } 00137 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v - b.v); } 00138 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); } 00139 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(Packet4f(a.v))); } 00140 template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) { return Packet1cd((Packet2d)vec_xor((Packet2d)a.v, (Packet2d)p2ul_CONJ_XOR2)); } 00141 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) 00142 { 00143 Packet2cf res; 00144 res.v.v4f[0] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0]))).v; 00145 res.v.v4f[1] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1]))).v; 00146 return res; 00147 } 00148 00149 template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b) 00150 { 00151 Packet2d a_re, a_im, v1, v2; 00152 00153 // Permute and multiply the real parts of a and b 00154 a_re = vec_perm(a.v, a.v, p16uc_PSET64_HI); 00155 // Get the imaginary parts of a 00156 a_im = vec_perm(a.v, a.v, p16uc_PSET64_LO); 00157 // multiply a_re * b 00158 v1 = vec_madd(a_re, b.v, p2d_ZERO); 00159 // multiply a_im * b and get the conjugate result 00160 v2 = vec_madd(a_im, b.v, p2d_ZERO); 00161 v2 = (Packet2d) vec_sld((Packet4ui)v2, (Packet4ui)v2, 8); 00162 v2 = (Packet2d) vec_xor((Packet2d)v2, (Packet2d) p2ul_CONJ_XOR1); 00163 00164 return Packet1cd(v1 + v2); 00165 } 00166 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 00167 { 00168 Packet2cf res; 00169 res.v.v4f[0] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[0]))).v; 00170 res.v.v4f[1] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[1]))).v; 00171 return res; 00172 } 00173 00174 template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_and(a.v,b.v)); } 00175 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pand<Packet4f>(a.v,b.v)); } 00176 template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_or(a.v,b.v)); } 00177 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(por<Packet4f>(a.v,b.v)); } 00178 template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_xor(a.v,b.v)); } 00179 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pxor<Packet4f>(a.v,b.v)); } 00180 template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_and(a.v, vec_nor(b.v,b.v))); } 00181 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pandnot<Packet4f>(a.v,b.v)); } 00182 00183 template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); } 00184 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); } 00185 00186 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); } 00187 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); } 00188 00189 template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a) 00190 { 00191 std::complex<double> EIGEN_ALIGN16 res; 00192 pstore<std::complex<double> >(&res, a); 00193 00194 return res; 00195 } 00196 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a) 00197 { 00198 std::complex<float> EIGEN_ALIGN16 res[2]; 00199 pstore<std::complex<float> >(res, a); 00200 00201 return res[0]; 00202 } 00203 00204 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; } 00205 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) 00206 { 00207 Packet2cf res; 00208 res.cd[0] = a.cd[1]; 00209 res.cd[1] = a.cd[0]; 00210 return res; 00211 } 00212 00213 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) 00214 { 00215 return pfirst(a); 00216 } 00217 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a) 00218 { 00219 std::complex<float> res; 00220 Packet1cd b = padd<Packet1cd>(a.cd[0], a.cd[1]); 00221 vec_st2f(b.v, (float*)&res); 00222 return res; 00223 } 00224 00225 template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs) 00226 { 00227 return vecs[0]; 00228 } 00229 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs) 00230 { 00231 PacketBlock<Packet2cf,2> transpose; 00232 transpose.packet[0] = vecs[0]; 00233 transpose.packet[1] = vecs[1]; 00234 ptranspose(transpose); 00235 00236 return padd<Packet2cf>(transpose.packet[0], transpose.packet[1]); 00237 } 00238 00239 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) 00240 { 00241 return pfirst(a); 00242 } 00243 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a) 00244 { 00245 std::complex<float> res; 00246 Packet1cd b = pmul<Packet1cd>(a.cd[0], a.cd[1]); 00247 vec_st2f(b.v, (float*)&res); 00248 return res; 00249 } 00250 00251 template<int Offset> 00252 struct palign_impl<Offset,Packet1cd> 00253 { 00254 static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/) 00255 { 00256 // FIXME is it sure we never have to align a Packet1cd? 00257 // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary... 00258 } 00259 }; 00260 00261 template<int Offset> 00262 struct palign_impl<Offset,Packet2cf> 00263 { 00264 static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second) 00265 { 00266 if (Offset == 1) { 00267 first.cd[0] = first.cd[1]; 00268 first.cd[1] = second.cd[0]; 00269 } 00270 } 00271 }; 00272 00273 template<> struct conj_helper<Packet1cd, Packet1cd, false,true> 00274 { 00275 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 00276 { return padd(pmul(x,y),c); } 00277 00278 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 00279 { 00280 return internal::pmul(a, pconj(b)); 00281 } 00282 }; 00283 00284 template<> struct conj_helper<Packet1cd, Packet1cd, true,false> 00285 { 00286 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 00287 { return padd(pmul(x,y),c); } 00288 00289 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 00290 { 00291 return internal::pmul(pconj(a), b); 00292 } 00293 }; 00294 00295 template<> struct conj_helper<Packet1cd, Packet1cd, true,true> 00296 { 00297 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 00298 { return padd(pmul(x,y),c); } 00299 00300 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 00301 { 00302 return pconj(internal::pmul(a, b)); 00303 } 00304 }; 00305 00306 template<> struct conj_helper<Packet2cf, Packet2cf, false,true> 00307 { 00308 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00309 { return padd(pmul(x,y),c); } 00310 00311 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00312 { 00313 return internal::pmul(a, pconj(b)); 00314 } 00315 }; 00316 00317 template<> struct conj_helper<Packet2cf, Packet2cf, true,false> 00318 { 00319 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00320 { return padd(pmul(x,y),c); } 00321 00322 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00323 { 00324 return internal::pmul(pconj(a), b); 00325 } 00326 }; 00327 00328 template<> struct conj_helper<Packet2cf, Packet2cf, true,true> 00329 { 00330 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 00331 { return padd(pmul(x,y),c); } 00332 00333 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 00334 { 00335 return pconj(internal::pmul(a, b)); 00336 } 00337 }; 00338 00339 template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b) 00340 { 00341 // TODO optimize it for AltiVec 00342 Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b); 00343 Packet2d s = vec_madd(b.v, b.v, p2d_ZERO_); 00344 return Packet1cd(pdiv(res.v, s + vec_perm(s, s, p16uc_REVERSE64))); 00345 } 00346 00347 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 00348 { 00349 // TODO optimize it for AltiVec 00350 Packet2cf res; 00351 res.cd[0] = pdiv<Packet1cd>(a.cd[0], b.cd[0]); 00352 res.cd[1] = pdiv<Packet1cd>(a.cd[1], b.cd[1]); 00353 return res; 00354 } 00355 00356 EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x) 00357 { 00358 return Packet1cd(preverse(Packet2d(x.v))); 00359 } 00360 00361 EIGEN_STRONG_INLINE Packet2cf pcplxflip/*<Packet2cf>*/(const Packet2cf& x) 00362 { 00363 Packet2cf res; 00364 res.cd[0] = pcplxflip(x.cd[0]); 00365 res.cd[1] = pcplxflip(x.cd[1]); 00366 return res; 00367 } 00368 00369 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel) 00370 { 00371 Packet2d tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI); 00372 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO); 00373 kernel.packet[0].v = tmp; 00374 } 00375 00376 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel) 00377 { 00378 Packet1cd tmp = kernel.packet[0].cd[1]; 00379 kernel.packet[0].cd[1] = kernel.packet[1].cd[0]; 00380 kernel.packet[1].cd[0] = tmp; 00381 } 00382 00383 template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) { 00384 Packet2cf result; 00385 const Selector<4> ifPacket4 = { ifPacket.select[0], ifPacket.select[0], ifPacket.select[1], ifPacket.select[1] }; 00386 result.v = pblend<Packet4f>(ifPacket4, thenPacket.v, elsePacket.v); 00387 return result; 00388 } 00389 00390 } // end namespace internal 00391 00392 } // end namespace Eigen 00393 00394 #endif // EIGEN_COMPLEX32_ALTIVEC_H