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AltiVec/Complex.h
1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2010 Gael Guennebaud <[email protected]>
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