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+// Copyright (c) 2014
+// INRIA Saclay-Ile de France (France)
+//
+// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public License as
+// published by the Free Software Foundation; either version 3 of the License,
+// or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+//
+// Author(s) : Marc Glisse
+
+#ifndef CGAL_VECTOR_AVX4_H
+#define CGAL_VECTOR_AVX4_H
+
+#if !defined __AVX__ || (__GNUC__ * 100 + __GNUC_MINOR__ < 408)
+#error Requires AVX and gcc 4.8+
+#endif
+#include <x86intrin.h>
+
+#include <CGAL/NewKernel_d/functor_tags.h>
+#include <CGAL/Dimension.h>
+#include <CGAL/enum.h> // CGAL::Sign
+#include <CGAL/number_utils.h> // CGAL::sign
+
+
+
+namespace CGAL {
+
+ struct Avx_vector_4 {
+ typedef double NT;
+ typedef Dimension_tag<4> Dimension;
+ typedef Dimension_tag<4> Max_dimension;
+ // No Rebind_dimension, this is a building block
+ template<class,bool=true> struct Property : boost::false_type {};
+ template<bool b> struct Property<Has_vector_plus_minus_tag,b>
+ : boost::true_type {};
+ /* MAYBE?
+ template<bool b> struct Property<Has_vector_scalar_ops_tag,b>
+ : boost::true_type {};
+ */
+ template<bool b> struct Property<Has_determinant_of_vectors_tag,b>
+ : boost::true_type {};
+ template<bool b> struct Property<Has_dot_product_tag,b>
+ : boost::true_type {};
+ template<bool b> struct Property<Has_determinant_of_vectors_omit_last_tag,b>
+ : boost::true_type {};
+
+ typedef __m256d Vector;
+ struct Construct_vector {
+ struct Dimension {
+ // Initialize with NaN?
+ Vector operator()(unsigned d) const {
+ CGAL_assertion(d==4);
+ return Vector();
+ }
+ };
+
+ struct Iterator {
+ template<typename Iter>
+ Vector operator()(unsigned d,Iter const& f,Iter const& e) const {
+ CGAL_assertion(d==4);
+ double x0 = *f;
+ double x1 = *++f;
+ double x2 = *++f;
+ double x3 = *++f;
+ CGAL_assertion(++f==e);
+ Vector a = { x0, x1, x2, x3 };
+ return a;
+ }
+ };
+
+ struct Iterator_and_last {
+ template<typename Iter,typename T>
+ Vector operator()(unsigned d,Iter const& f,Iter const& e,double t) const {
+ CGAL_assertion(d==4);
+ double x0 = *f;
+ double x1 = *++f;
+ double x2 = *++f;
+ CGAL_assertion(++f==e);
+ Vector a = { x0, x1, x2, t };
+ return a;
+ }
+ };
+
+ struct Values {
+ Vector operator()(double a,double b,double c,double d) const {
+ Vector r = { a, b, c, d };
+ return r;
+ }
+ };
+
+ struct Values_divide {
+ Vector operator()(double h,double a,double b,double c,double d) const {
+ // {a,b,c,d}/{h,h,h,h} should be roughly the same
+ Vector r = { a/h, b/h, c/h, d/h };
+ return r;
+ }
+ };
+ };
+
+ public:
+ typedef double const* Vector_const_iterator;
+ static inline Vector_const_iterator vector_begin(Vector const&a){
+ return (Vector_const_iterator)(&a);
+ }
+ static inline Vector_const_iterator vector_end(Vector const&a){
+ return (Vector_const_iterator)(&a)+4;
+ }
+ static inline unsigned size_of_vector(Vector){
+ return 4;
+ }
+ static inline double dot_product(__m256d x, __m256d y){
+ __m256d p=x*y;
+ __m256d z=_mm256_hadd_pd(p,p);
+ return z[0]+z[2];
+ }
+ private:
+ static inline __m256d avx_sym(__m256d x){
+#if 0
+ return __builtin_shuffle(x,(__m256i){2,3,0,1});
+#else
+ return _mm256_permute2f128_pd(x,x,1);
+#endif
+ }
+ static inline __m256d avx_left(__m256d x){
+#if 0
+ return __builtin_shuffle(x,(__m256i){1,2,3,0});
+#else
+#ifdef __AVX2__
+ return _mm256_permute4x64_pd(x,1+2*4+3*16+0*64);
+#else
+ __m256d s = _mm256_permute2f128_pd(x,x,1);
+ return _mm256_shuffle_pd(x,s,5);
+#endif
+#endif
+ }
+ static inline __m256d avx_right(__m256d x){
+#if 0
+ return __builtin_shuffle(x,(__m256i){3,0,1,2});
+#else
+#ifdef __AVX2__
+ return _mm256_permute4x64_pd(x,3+0*4+1*16+2*64);
+#else
+ __m256d s = _mm256_permute2f128_pd(x,x,1);
+ return _mm256_shuffle_pd(s,x,5);
+#endif
+#endif
+ }
+ static inline double avx_altprod(__m256d x, __m256d y){
+ __m256d p=x*y;
+ __m256d z=_mm256_hsub_pd(p,p);
+ return z[0]+z[2];
+ }
+ public:
+ static double
+ determinant_of_vectors(Vector a, Vector b, Vector c, Vector d) {
+ __m256d x=a*avx_left(b)-avx_left(a)*b;
+ __m256d yy=a*avx_sym(b);
+ __m256d y=yy-avx_sym(yy);
+ __m256d z0=x*avx_sym(c);
+ __m256d z1=avx_left(x)*c;
+ __m256d z2=y*avx_left(c);
+ __m256d z=z0+z1-z2;
+ return avx_altprod(z,avx_right(d));
+ }
+ static CGAL::Sign
+ sign_of_determinant_of_vectors(Vector a, Vector b, Vector c, Vector d) {
+ return CGAL::sign(determinant_of_vectors(a,b,c,d));
+ }
+
+ private:
+ static inline __m256d avx3_right(__m256d x){
+#if 0
+ return __builtin_shuffle(x,(__m256i){2,0,1,3}); // can replace 3 with anything
+#else
+#ifdef __AVX2__
+ return _mm256_permute4x64_pd(x,2+0*4+1*16+3*64);
+#else
+ __m256d s = _mm256_permute2f128_pd(x,x,1);
+ return _mm256_shuffle_pd(s,x,12);
+#endif
+#endif
+ }
+ public:
+ static inline double dot_product_omit_last(__m256d x, __m256d y){
+ __m256d p=x*y;
+ __m128d q=_mm256_extractf128_pd(p,0);
+ double z=_mm_hadd_pd(q,q)[0];
+ return z+p[2];
+ }
+ // Note: without AVX2, is it faster than the scalar computation?
+ static double
+ determinant_of_vectors_omit_last(Vector a, Vector b, Vector c) {
+ __m256d x=a*avx3_right(b)-avx3_right(a)*b;
+ return dot_product_omit_last(c,avx3_right(x));
+ }
+ static CGAL::Sign
+ sign_of_determinant_of_vectors_omit_last(Vector a, Vector b, Vector c) {
+ return CGAL::sign(determinant_of_vectors_omit_last(a,b,c));
+ }
+
+ };
+
+}
+#endif