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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 //
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 {
Packet2cfPacket2cf28   EIGEN_STRONG_INLINE Packet2cf() {}
Packet2cfPacket2cf29   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