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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 (at) gmail.com>
      5 // Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud (at) 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, Aligned>
     20 {
     21   static inline Quaternion<float> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
     22   {
     23     const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0,0,0,0x80000000));
     24     Quaternion<float> res;
     25     __m128 a = _a.coeffs().template packet<Aligned>(0);
     26     __m128 b = _b.coeffs().template packet<Aligned>(0);
     27     __m128 flip1 = _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a,1,2,0,2),
     28                                          vec4f_swizzle1(b,2,0,1,2)),mask);
     29     __m128 flip2 = _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a,3,3,3,1),
     30                                          vec4f_swizzle1(b,0,1,2,1)),mask);
     31     pstore(&res.x(),
     32               _mm_add_ps(_mm_sub_ps(_mm_mul_ps(a,vec4f_swizzle1(b,3,3,3,3)),
     33                                     _mm_mul_ps(vec4f_swizzle1(a,2,0,1,0),
     34                                                vec4f_swizzle1(b,1,2,0,0))),
     35                          _mm_add_ps(flip1,flip2)));
     36     return res;
     37   }
     38 };
     39 
     40 template<typename VectorLhs,typename VectorRhs>
     41 struct cross3_impl<Architecture::SSE,VectorLhs,VectorRhs,float,true>
     42 {
     43   static inline typename plain_matrix_type<VectorLhs>::type
     44   run(const VectorLhs& lhs, const VectorRhs& rhs)
     45   {
     46     __m128 a = lhs.template packet<VectorLhs::Flags&AlignedBit ? Aligned : Unaligned>(0);
     47     __m128 b = rhs.template packet<VectorRhs::Flags&AlignedBit ? Aligned : Unaligned>(0);
     48     __m128 mul1=_mm_mul_ps(vec4f_swizzle1(a,1,2,0,3),vec4f_swizzle1(b,2,0,1,3));
     49     __m128 mul2=_mm_mul_ps(vec4f_swizzle1(a,2,0,1,3),vec4f_swizzle1(b,1,2,0,3));
     50     typename plain_matrix_type<VectorLhs>::type res;
     51     pstore(&res.x(),_mm_sub_ps(mul1,mul2));
     52     return res;
     53   }
     54 };
     55 
     56 
     57 
     58 
     59 template<class Derived, class OtherDerived>
     60 struct quat_product<Architecture::SSE, Derived, OtherDerived, double, Aligned>
     61 {
     62   static inline Quaternion<double> run(const QuaternionBase<Derived>& _a, const QuaternionBase<OtherDerived>& _b)
     63   {
     64   const Packet2d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
     65 
     66   Quaternion<double> res;
     67 
     68   const double* a = _a.coeffs().data();
     69   Packet2d b_xy = _b.coeffs().template packet<Aligned>(0);
     70   Packet2d b_zw = _b.coeffs().template packet<Aligned>(2);
     71   Packet2d a_xx = pset1<Packet2d>(a[0]);
     72   Packet2d a_yy = pset1<Packet2d>(a[1]);
     73   Packet2d a_zz = pset1<Packet2d>(a[2]);
     74   Packet2d a_ww = pset1<Packet2d>(a[3]);
     75 
     76   // two temporaries:
     77   Packet2d t1, t2;
     78 
     79   /*
     80    * t1 = ww*xy + yy*zw
     81    * t2 = zz*xy - xx*zw
     82    * res.xy = t1 +/- swap(t2)
     83    */
     84   t1 = padd(pmul(a_ww, b_xy), pmul(a_yy, b_zw));
     85   t2 = psub(pmul(a_zz, b_xy), pmul(a_xx, b_zw));
     86 #ifdef EIGEN_VECTORIZE_SSE3
     87   EIGEN_UNUSED_VARIABLE(mask)
     88   pstore(&res.x(), _mm_addsub_pd(t1, preverse(t2)));
     89 #else
     90   pstore(&res.x(), padd(t1, pxor(mask,preverse(t2))));
     91 #endif
     92 
     93   /*
     94    * t1 = ww*zw - yy*xy
     95    * t2 = zz*zw + xx*xy
     96    * res.zw = t1 -/+ swap(t2) = swap( swap(t1) +/- t2)
     97    */
     98   t1 = psub(pmul(a_ww, b_zw), pmul(a_yy, b_xy));
     99   t2 = padd(pmul(a_zz, b_zw), pmul(a_xx, b_xy));
    100 #ifdef EIGEN_VECTORIZE_SSE3
    101   EIGEN_UNUSED_VARIABLE(mask)
    102   pstore(&res.z(), preverse(_mm_addsub_pd(preverse(t1), t2)));
    103 #else
    104   pstore(&res.z(), psub(t1, pxor(mask,preverse(t2))));
    105 #endif
    106 
    107   return res;
    108 }
    109 };
    110 
    111 } // end namespace internal
    112 
    113 } // end namespace Eigen
    114 
    115 #endif // EIGEN_GEOMETRY_SSE_H
    116