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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2009 Rohit Garg <rpg.314@gmail.com>
5 // Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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_GEOMETRY_SSE_H
12 #define EIGEN_GEOMETRY_SSE_H
13 
14 namespace Eigen {
15 
16 namespace internal {
17 
18 template<class Derived, class OtherDerived>
19 struct quat_product<Architecture::SSE, Derived, OtherDerived, float>
20 {
21   enum {
22     AAlignment = traits<Derived>::Alignment,
23     BAlignment = traits<OtherDerived>::Alignment,
24     ResAlignment = traits<Quaternion<float> >::Alignment
25   };
26   static inline Quaternion<float> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
27   {
28     Quaternion<float> res;
29     const __m128 mask = _mm_setr_ps(0.f,0.f,0.f,-0.f);
30     __m128 a = _a.coeffs().template packet<AAlignment>(0);
31     __m128 b = _b.coeffs().template packet<BAlignment>(0);
32     __m128 s1 = _mm_mul_ps(vec4f_swizzle1(a,1,2,0,2),vec4f_swizzle1(b,2,0,1,2));
33     __m128 s2 = _mm_mul_ps(vec4f_swizzle1(a,3,3,3,1),vec4f_swizzle1(b,0,1,2,1));
34     pstoret<float,Packet4f,ResAlignment>(
35               &res.x(),
36               _mm_add_ps(_mm_sub_ps(_mm_mul_ps(a,vec4f_swizzle1(b,3,3,3,3)),
37                                     _mm_mul_ps(vec4f_swizzle1(a,2,0,1,0),
38                                                vec4f_swizzle1(b,1,2,0,0))),
39                          _mm_xor_ps(mask,_mm_add_ps(s1,s2))));
40 
41     return res;
42   }
43 };
44 
45 template<class Derived>
46 struct quat_conj<Architecture::SSE, Derived, float>
47 {
48   enum {
49     ResAlignment = traits<Quaternion<float> >::Alignment
50   };
51   static inline Quaternion<float> run(const QuaternionBase<Derived>& q)
52   {
53     Quaternion<float> res;
54     const __m128 mask = _mm_setr_ps(-0.f,-0.f,-0.f,0.f);
55     pstoret<float,Packet4f,ResAlignment>(&res.x(), _mm_xor_ps(mask, q.coeffs().template packet<traits<Derived>::Alignment>(0)));
56     return res;
57   }
58 };
59 
60 
61 template<typename VectorLhs,typename VectorRhs>
62 struct cross3_impl<Architecture::SSE,VectorLhs,VectorRhs,float,true>
63 {
64   enum {
65     ResAlignment = traits<typename plain_matrix_type<VectorLhs>::type>::Alignment
66   };
67   static inline typename plain_matrix_type<VectorLhs>::type
68   run(const VectorLhs& lhs, const VectorRhs& rhs)
69   {
70     __m128 a = lhs.template packet<traits<VectorLhs>::Alignment>(0);
71     __m128 b = rhs.template packet<traits<VectorRhs>::Alignment>(0);
72     __m128 mul1=_mm_mul_ps(vec4f_swizzle1(a,1,2,0,3),vec4f_swizzle1(b,2,0,1,3));
73     __m128 mul2=_mm_mul_ps(vec4f_swizzle1(a,2,0,1,3),vec4f_swizzle1(b,1,2,0,3));
74     typename plain_matrix_type<VectorLhs>::type res;
75     pstoret<float,Packet4f,ResAlignment>(&res.x(),_mm_sub_ps(mul1,mul2));
76     return res;
77   }
78 };
79 
80 
81 
82 
83 template<class Derived, class OtherDerived>
84 struct quat_product<Architecture::SSE, Derived, OtherDerived, double>
85 {
86   enum {
87     BAlignment = traits<OtherDerived>::Alignment,
88     ResAlignment = traits<Quaternion<double> >::Alignment
89   };
90 
91   static inline Quaternion<double> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
92   {
93   const Packet2d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
94 
95   Quaternion<double> res;
96 
97   const double* a = _a.coeffs().data();
98   Packet2d b_xy = _b.coeffs().template packet<BAlignment>(0);
99   Packet2d b_zw = _b.coeffs().template packet<BAlignment>(2);
100   Packet2d a_xx = pset1<Packet2d>(a[0]);
101   Packet2d a_yy = pset1<Packet2d>(a[1]);
102   Packet2d a_zz = pset1<Packet2d>(a[2]);
103   Packet2d a_ww = pset1<Packet2d>(a[3]);
104 
105   // two temporaries:
106   Packet2d t1, t2;
107 
108   /*
109    * t1 = ww*xy + yy*zw
110    * t2 = zz*xy - xx*zw
111    * res.xy = t1 +/- swap(t2)
112    */
113   t1 = padd(pmul(a_ww, b_xy), pmul(a_yy, b_zw));
114   t2 = psub(pmul(a_zz, b_xy), pmul(a_xx, b_zw));
115 #ifdef EIGEN_VECTORIZE_SSE3
116   EIGEN_UNUSED_VARIABLE(mask)
117   pstoret<double,Packet2d,ResAlignment>(&res.x(), _mm_addsub_pd(t1, preverse(t2)));
118 #else
119   pstoret<double,Packet2d,ResAlignment>(&res.x(), padd(t1, pxor(mask,preverse(t2))));
120 #endif
121 
122   /*
123    * t1 = ww*zw - yy*xy
124    * t2 = zz*zw + xx*xy
125    * res.zw = t1 -/+ swap(t2) = swap( swap(t1) +/- t2)
126    */
127   t1 = psub(pmul(a_ww, b_zw), pmul(a_yy, b_xy));
128   t2 = padd(pmul(a_zz, b_zw), pmul(a_xx, b_xy));
129 #ifdef EIGEN_VECTORIZE_SSE3
130   EIGEN_UNUSED_VARIABLE(mask)
131   pstoret<double,Packet2d,ResAlignment>(&res.z(), preverse(_mm_addsub_pd(preverse(t1), t2)));
132 #else
133   pstoret<double,Packet2d,ResAlignment>(&res.z(), psub(t1, pxor(mask,preverse(t2))));
134 #endif
135 
136   return res;
137 }
138 };
139 
140 template<class Derived>
141 struct quat_conj<Architecture::SSE, Derived, double>
142 {
143   enum {
144     ResAlignment = traits<Quaternion<double> >::Alignment
145   };
146   static inline Quaternion<double> run(const QuaternionBase<Derived>& q)
147   {
148     Quaternion<double> res;
149     const __m128d mask0 = _mm_setr_pd(-0.,-0.);
150     const __m128d mask2 = _mm_setr_pd(-0.,0.);
151     pstoret<double,Packet2d,ResAlignment>(&res.x(), _mm_xor_pd(mask0, q.coeffs().template packet<traits<Derived>::Alignment>(0)));
152     pstoret<double,Packet2d,ResAlignment>(&res.z(), _mm_xor_pd(mask2, q.coeffs().template packet<traits<Derived>::Alignment>(2)));
153     return res;
154   }
155 };
156 
157 } // end namespace internal
158 
159 } // end namespace Eigen
160 
161 #endif // EIGEN_GEOMETRY_SSE_H
162