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@inria.fr> 5 // Copyright (C) 2016 Konstantinos Margaritis <markos@freevec.org> 6 // 7 // This Source Code Form is subject to the terms of the Mozilla 8 // Public License v. 2.0. If a copy of the MPL was not distributed 9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 10 11 #ifndef EIGEN_COMPLEX32_ALTIVEC_H 12 #define EIGEN_COMPLEX32_ALTIVEC_H 13 14 namespace Eigen { 15 16 namespace internal { 17 18 static Packet2ul p2ul_CONJ_XOR1 = (Packet2ul) vec_sld((Packet4ui) p2d_ZERO_, (Packet4ui) p2l_ZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 }; 19 static Packet2ul p2ul_CONJ_XOR2 = (Packet2ul) vec_sld((Packet4ui) p2l_ZERO, (Packet4ui) p2d_ZERO_, 8);//{ 0x8000000000000000, 0x0000000000000000 }; 20 21 struct Packet1cd 22 { Packet1cdPacket1cd23 EIGEN_STRONG_INLINE Packet1cd() {} Packet1cdPacket1cd24 EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {} 25 Packet2d v; 26 }; 27 28 struct Packet2cf 29 { Packet2cfPacket2cf30 EIGEN_STRONG_INLINE Packet2cf() {} Packet2cfPacket2cf31 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {} 32 union { 33 Packet4f v; 34 Packet1cd cd[2]; 35 }; 36 }; 37 38 template<> struct packet_traits<std::complex<float> > : default_packet_traits 39 { 40 typedef Packet2cf type; 41 typedef Packet2cf half; 42 enum { 43 Vectorizable = 1, 44 AlignedOnScalar = 1, 45 size = 2, 46 HasHalfPacket = 0, 47 48 HasAdd = 1, 49 HasSub = 1, 50 HasMul = 1, 51 HasDiv = 1, 52 HasNegate = 1, 53 HasAbs = 0, 54 HasAbs2 = 0, 55 HasMin = 0, 56 HasMax = 0, 57 HasBlend = 1, 58 HasSetLinear = 0 59 }; 60 }; 61 62 63 template<> struct packet_traits<std::complex<double> > : default_packet_traits 64 { 65 typedef Packet1cd type; 66 typedef Packet1cd half; 67 enum { 68 Vectorizable = 1, 69 AlignedOnScalar = 1, 70 size = 1, 71 HasHalfPacket = 0, 72 73 HasAdd = 1, 74 HasSub = 1, 75 HasMul = 1, 76 HasDiv = 1, 77 HasNegate = 1, 78 HasAbs = 0, 79 HasAbs2 = 0, 80 HasMin = 0, 81 HasMax = 0, 82 HasSetLinear = 0 83 }; 84 }; 85 86 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16}; typedef Packet2cf half; }; 87 template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16}; typedef Packet1cd half; }; 88 89 /* Forward declaration */ 90 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel); 91 92 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); } 93 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); } 94 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); } 95 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); } 96 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); } 97 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); } 98 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); } 99 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); } 100 101 template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from) 102 { /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); } 103 104 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from) 105 { 106 Packet2cf res; 107 res.cd[0] = Packet1cd(vec_ld2f((const float *)&from)); 108 res.cd[1] = res.cd[0]; 109 return res; 110 } 111 template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride) 112 { 113 std::complex<float> EIGEN_ALIGN16 af[2]; 114 af[0] = from[0*stride]; 115 af[1] = from[1*stride]; 116 return pload<Packet2cf>(af); 117 } 118 template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index stride EIGEN_UNUSED) 119 { 120 return pload<Packet1cd>(from); 121 } 122 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride) 123 { 124 std::complex<float> EIGEN_ALIGN16 af[2]; 125 pstore<std::complex<float> >((std::complex<float> *) af, from); 126 to[0*stride] = af[0]; 127 to[1*stride] = af[1]; 128 } 129 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to, const Packet1cd& from, Index stride EIGEN_UNUSED) 130 { 131 pstore<std::complex<double> >(to, from); 132 } 133 134 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(padd<Packet4f>(a.v, b.v)); } 135 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v + b.v); } 136 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(psub<Packet4f>(a.v, b.v)); } 137 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v - b.v); } 138 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); } 139 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(Packet4f(a.v))); } 140 template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) { return Packet1cd((Packet2d)vec_xor((Packet2d)a.v, (Packet2d)p2ul_CONJ_XOR2)); } 141 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) 142 { 143 Packet2cf res; 144 res.v.v4f[0] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0]))).v; 145 res.v.v4f[1] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1]))).v; 146 return res; 147 } 148 149 template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b) 150 { 151 Packet2d a_re, a_im, v1, v2; 152 153 // Permute and multiply the real parts of a and b 154 a_re = vec_perm(a.v, a.v, p16uc_PSET64_HI); 155 // Get the imaginary parts of a 156 a_im = vec_perm(a.v, a.v, p16uc_PSET64_LO); 157 // multiply a_re * b 158 v1 = vec_madd(a_re, b.v, p2d_ZERO); 159 // multiply a_im * b and get the conjugate result 160 v2 = vec_madd(a_im, b.v, p2d_ZERO); 161 v2 = (Packet2d) vec_sld((Packet4ui)v2, (Packet4ui)v2, 8); 162 v2 = (Packet2d) vec_xor((Packet2d)v2, (Packet2d) p2ul_CONJ_XOR1); 163 164 return Packet1cd(v1 + v2); 165 } 166 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 167 { 168 Packet2cf res; 169 res.v.v4f[0] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[0]))).v; 170 res.v.v4f[1] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[1]))).v; 171 return res; 172 } 173 174 template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_and(a.v,b.v)); } 175 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pand<Packet4f>(a.v,b.v)); } 176 template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_or(a.v,b.v)); } 177 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(por<Packet4f>(a.v,b.v)); } 178 template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_xor(a.v,b.v)); } 179 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pxor<Packet4f>(a.v,b.v)); } 180 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))); } 181 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pandnot<Packet4f>(a.v,b.v)); } 182 183 template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); } 184 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); } 185 186 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); } 187 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); } 188 189 template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a) 190 { 191 std::complex<double> EIGEN_ALIGN16 res; 192 pstore<std::complex<double> >(&res, a); 193 194 return res; 195 } 196 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a) 197 { 198 std::complex<float> EIGEN_ALIGN16 res[2]; 199 pstore<std::complex<float> >(res, a); 200 201 return res[0]; 202 } 203 204 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; } 205 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) 206 { 207 Packet2cf res; 208 res.cd[0] = a.cd[1]; 209 res.cd[1] = a.cd[0]; 210 return res; 211 } 212 213 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) 214 { 215 return pfirst(a); 216 } 217 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a) 218 { 219 std::complex<float> res; 220 Packet1cd b = padd<Packet1cd>(a.cd[0], a.cd[1]); 221 vec_st2f(b.v, (float*)&res); 222 return res; 223 } 224 225 template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs) 226 { 227 return vecs[0]; 228 } 229 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs) 230 { 231 PacketBlock<Packet2cf,2> transpose; 232 transpose.packet[0] = vecs[0]; 233 transpose.packet[1] = vecs[1]; 234 ptranspose(transpose); 235 236 return padd<Packet2cf>(transpose.packet[0], transpose.packet[1]); 237 } 238 239 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) 240 { 241 return pfirst(a); 242 } 243 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a) 244 { 245 std::complex<float> res; 246 Packet1cd b = pmul<Packet1cd>(a.cd[0], a.cd[1]); 247 vec_st2f(b.v, (float*)&res); 248 return res; 249 } 250 251 template<int Offset> 252 struct palign_impl<Offset,Packet1cd> 253 { 254 static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/) 255 { 256 // FIXME is it sure we never have to align a Packet1cd? 257 // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary... 258 } 259 }; 260 261 template<int Offset> 262 struct palign_impl<Offset,Packet2cf> 263 { 264 static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second) 265 { 266 if (Offset == 1) { 267 first.cd[0] = first.cd[1]; 268 first.cd[1] = second.cd[0]; 269 } 270 } 271 }; 272 273 template<> struct conj_helper<Packet1cd, Packet1cd, false,true> 274 { 275 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 276 { return padd(pmul(x,y),c); } 277 278 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 279 { 280 return internal::pmul(a, pconj(b)); 281 } 282 }; 283 284 template<> struct conj_helper<Packet1cd, Packet1cd, true,false> 285 { 286 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 287 { return padd(pmul(x,y),c); } 288 289 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 290 { 291 return internal::pmul(pconj(a), b); 292 } 293 }; 294 295 template<> struct conj_helper<Packet1cd, Packet1cd, true,true> 296 { 297 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const 298 { return padd(pmul(x,y),c); } 299 300 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const 301 { 302 return pconj(internal::pmul(a, b)); 303 } 304 }; 305 306 template<> struct conj_helper<Packet2cf, Packet2cf, false,true> 307 { 308 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 309 { return padd(pmul(x,y),c); } 310 311 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 312 { 313 return internal::pmul(a, pconj(b)); 314 } 315 }; 316 317 template<> struct conj_helper<Packet2cf, Packet2cf, true,false> 318 { 319 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 320 { return padd(pmul(x,y),c); } 321 322 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 323 { 324 return internal::pmul(pconj(a), b); 325 } 326 }; 327 328 template<> struct conj_helper<Packet2cf, Packet2cf, true,true> 329 { 330 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const 331 { return padd(pmul(x,y),c); } 332 333 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const 334 { 335 return pconj(internal::pmul(a, b)); 336 } 337 }; 338 339 template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b) 340 { 341 // TODO optimize it for AltiVec 342 Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b); 343 Packet2d s = vec_madd(b.v, b.v, p2d_ZERO_); 344 return Packet1cd(pdiv(res.v, s + vec_perm(s, s, p16uc_REVERSE64))); 345 } 346 347 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b) 348 { 349 // TODO optimize it for AltiVec 350 Packet2cf res; 351 res.cd[0] = pdiv<Packet1cd>(a.cd[0], b.cd[0]); 352 res.cd[1] = pdiv<Packet1cd>(a.cd[1], b.cd[1]); 353 return res; 354 } 355 356 EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x) 357 { 358 return Packet1cd(preverse(Packet2d(x.v))); 359 } 360 361 EIGEN_STRONG_INLINE Packet2cf pcplxflip/*<Packet2cf>*/(const Packet2cf& x) 362 { 363 Packet2cf res; 364 res.cd[0] = pcplxflip(x.cd[0]); 365 res.cd[1] = pcplxflip(x.cd[1]); 366 return res; 367 } 368 369 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel) 370 { 371 Packet2d tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI); 372 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO); 373 kernel.packet[0].v = tmp; 374 } 375 376 EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel) 377 { 378 Packet1cd tmp = kernel.packet[0].cd[1]; 379 kernel.packet[0].cd[1] = kernel.packet[1].cd[0]; 380 kernel.packet[1].cd[0] = tmp; 381 } 382 383 template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) { 384 Packet2cf result; 385 const Selector<4> ifPacket4 = { ifPacket.select[0], ifPacket.select[0], ifPacket.select[1], ifPacket.select[1] }; 386 result.v = pblend<Packet4f>(ifPacket4, thenPacket.v, elsePacket.v); 387 return result; 388 } 389 390 } // end namespace internal 391 392 } // end namespace Eigen 393 394 #endif // EIGEN_COMPLEX32_ALTIVEC_H 395