From 20dc97459475ce757597a4431b13e217dfb0a62c Mon Sep 17 00:00:00 2001 From: Laurent Rineau Date: Wed, 17 Mar 2021 11:28:07 +0100 Subject: [PATCH 01/29] Remove operator/ from CGAL::Mpzf The operator `operator/(Mpfz,Mpfz)` actually implements integral division. With this commit, it is renamed `division((Mpfz,Mpfz)` unless the macro `CGAL_MPZF_DIVISION_OPERATOR` is defined. I have commented the line #define CGAL_MPZF_DIVISION_OPERATOR 1 and that will breaks a lot of CGAL code in this branch. --- Number_types/include/CGAL/Mpzf.h | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/Number_types/include/CGAL/Mpzf.h b/Number_types/include/CGAL/Mpzf.h index 6e482232df0..f850010b90b 100644 --- a/Number_types/include/CGAL/Mpzf.h +++ b/Number_types/include/CGAL/Mpzf.h @@ -10,6 +10,8 @@ // // Author(s) : Marc Glisse +//#define CGAL_MPZF_DIVISION_OPERATOR 1 + #ifndef CGAL_MPZF_H #define CGAL_MPZF_H #include @@ -774,7 +776,11 @@ struct Mpzf { return res; } +#ifndef CGAL_MPZF_DIVISION_OPERATOR + friend Mpzf division(Mpzf const&a, Mpzf const&b){ +#else // CGAL_MPZF_DIVISION_OPERATOR friend Mpzf operator/(Mpzf const&a, Mpzf const&b){ +#endif // CGAL_MPZF_DIVISION_OPERATOR // FIXME: Untested int asize=std::abs(a.size); int bsize=std::abs(b.size); @@ -909,7 +915,11 @@ struct Mpzf { Mpzf& operator+=(Mpzf const&x){ *this=*this+x; return *this; } Mpzf& operator-=(Mpzf const&x){ *this=*this-x; return *this; } Mpzf& operator*=(Mpzf const&x){ *this=*this*x; return *this; } +#ifdef CGAL_MPZF_DIVISION_OPERATOR Mpzf& operator/=(Mpzf const&x){ *this=*this/x; return *this; } +#else // not CGAL_MPZF_DIVISION_OPERATOR + Mpzf& operator/=(Mpzf const&x){ *this=division(*this,x); return *this; } +#endif // not CGAL_MPZF_DIVISION_OPERATOR bool is_canonical () const { if (size == 0) return true; @@ -1096,7 +1106,11 @@ std::istream& operator>> (std::istream& is, Mpzf& a) Type operator()( const Type& x, const Type& y ) const { +#ifdef CGAL_MPZF_DIVISION_OPERATOR return x / y; +#else // not CGAL_MPZF_DIVISION_OPERATOR + return division(x, y); +#endif // not CGAL_MPZF_DIVISION_OPERATOR } }; From b32250242a40b9acfb7eb82788387d2d30be6e39 Mon Sep 17 00:00:00 2001 From: Laurent Rineau Date: Wed, 17 Mar 2021 11:30:21 +0100 Subject: [PATCH 02/29] CGAL_Kernel_pred_RT for Do_intersect_2 and Do_intersect_3 The code is not ready for that. A lot of overloads of `Do_interesect_[23]` are implemented by calling the equivalent overloads from `Intersect_23` (that requires division of coordinates). --- Kernel_23/include/CGAL/Kernel/interface_macros.h | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/Kernel_23/include/CGAL/Kernel/interface_macros.h b/Kernel_23/include/CGAL/Kernel/interface_macros.h index a4caf77e7be..40836bde411 100644 --- a/Kernel_23/include/CGAL/Kernel/interface_macros.h +++ b/Kernel_23/include/CGAL/Kernel/interface_macros.h @@ -494,10 +494,10 @@ CGAL_Kernel_pred_RT(Coplanar_3, coplanar_3_object) CGAL_Kernel_pred(Counterclockwise_in_between_2, counterclockwise_in_between_2_object) -CGAL_Kernel_pred(Do_intersect_2, - do_intersect_2_object) -CGAL_Kernel_pred(Do_intersect_3, - do_intersect_3_object) +CGAL_Kernel_pred_RT(Do_intersect_2, + do_intersect_2_object) +CGAL_Kernel_pred_RT(Do_intersect_3, + do_intersect_3_object) CGAL_Kernel_pred(Equal_xy_3, equal_xy_3_object) CGAL_Kernel_pred(Equal_x_2, From 9c28a543c113716daf74e97fa5c0a102ab0df880 Mon Sep 17 00:00:00 2001 From: Laurent Rineau Date: Thu, 18 Mar 2021 09:38:30 +0100 Subject: [PATCH 03/29] Remove unused CGAL::multiplies and CGAL::division --- NewKernel_d/include/CGAL/NewKernel_d/utils.h | 19 ------------------- 1 file changed, 19 deletions(-) diff --git a/NewKernel_d/include/CGAL/NewKernel_d/utils.h b/NewKernel_d/include/CGAL/NewKernel_d/utils.h index 3a925b3d8d6..1204e1fe669 100644 --- a/NewKernel_d/include/CGAL/NewKernel_d/utils.h +++ b/NewKernel_d/include/CGAL/NewKernel_d/utils.h @@ -94,25 +94,6 @@ struct Has_type_different_from enum { value=true }; }; - // like std::multiplies but allows mixing types - // in C++11 in doesn't need to be a template - template < class Ret > - struct multiplies { - template - decltype(auto) operator()(A&&a,B&&b)const - { - return std::forward(a)*std::forward(b); - } - }; - template < class Ret > - struct division { - template - decltype(auto) operator()(A&&a,B&&b)const - { - return std::forward(a)/std::forward(b); - } - }; - using std::decay; template struct Type_copy_ref { typedef U type; }; From be39ec02fa8a668ac88edfe58ea08c9ca07dd658 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 18 Mar 2021 14:11:57 +0100 Subject: [PATCH 04/29] Add a solve that 'returns' the denominator instead of making the division --- .../include/CGAL/Cartesian/solve_3.h | 10 +++--- Kernel_23/include/CGAL/Kernel/solve.h | 31 +++++++++++++++++++ 2 files changed, 36 insertions(+), 5 deletions(-) diff --git a/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h b/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h index 2c9137f1596..81d1f422a2d 100644 --- a/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h +++ b/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h @@ -29,13 +29,13 @@ void solve (const VectorC3 &v0, const VectorC3 &v1, const VectorC3 &v2, const VectorC3 &d, - typename R::FT &alpha, typename R::FT &beta, typename R::FT &gamma) + typename R::FT &alpha, typename R::FT &beta, typename R::FT &gamma, typename R::FT &denom) { CGAL::solve(v0.x(), v0.y(), v0.z(), - v1.x(), v1.y(), v1.z(), - v2.x(), v2.y(), v2.z(), - d.x(), d.y(), d.z(), - alpha, beta, gamma); + v1.x(), v1.y(), v1.z(), + v2.x(), v2.y(), v2.z(), + d.x(), d.y(), d.z(), + alpha, beta, gamma, denom); } } // namespace Cartesian_internal diff --git a/Kernel_23/include/CGAL/Kernel/solve.h b/Kernel_23/include/CGAL/Kernel/solve.h index f4866259898..7b915836523 100644 --- a/Kernel_23/include/CGAL/Kernel/solve.h +++ b/Kernel_23/include/CGAL/Kernel/solve.h @@ -58,6 +58,37 @@ void solve (const FT &a1, const FT &a2, const FT &a3, } +template +void solve (const FT &a1, const FT &a2, const FT &a3, + const FT &b1, const FT &b2, const FT &b3, + const FT &c1, const FT &c2, const FT &c3, + const FT &d1, const FT &d2, const FT &d3, + FT &x, FT &y, FT &z, FT& denom) +{ + FT ab23 = a3*b2 - a2*b3; + FT ab13 = a3*b1 - a1*b3; + FT ab12 = a2*b1 - a1*b2; + + denom = ab23*c1 - ab13*c2 + ab12*c3; + + FT cd23 = c3*d2 - c2*d3; + FT cd13 = c3*d1 - c1*d3; + FT cd12 = c2*d1 - c1*d2; + + x = (b3*cd12 - b2*cd13 + b1*cd23); + + y = (a2*cd13 - cd12*a3 - cd23*a1); + + z = (ab23*d1 + ab12*d3 - ab13*d2); + if(denom < 0){ + denom = -denom; + x = -x; + y = -y; + z = -z; + } +} + + // this is for a parabola c1, c2, c3 are equal to 1 template void solve_quadratic (const FT &a1, const FT &a2, const FT &a3, From 06f625a98ef5ac4a22b96e1aa789963b10c34ab8 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 18 Mar 2021 14:13:20 +0100 Subject: [PATCH 05/29] Add a compare() for two rationals given as four values --- .../include/CGAL/number_utils.h | 30 +++++++++++++++++++ 1 file changed, 30 insertions(+) diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h index d29434ad603..7195f057cef 100644 --- a/Algebraic_foundations/include/CGAL/number_utils.h +++ b/Algebraic_foundations/include/CGAL/number_utils.h @@ -324,6 +324,36 @@ NT approximate_sqrt(const NT& nt) return approximate_sqrt(nt, Sqrt()); } +template +Comparison_result +compare(const NT& xnum, const NT& xden, + const NT& ynum, const NT& yden) +{ + // No assumptions on the sign of den are made + + // code assumes that SMALLER == - 1; + CGAL_precondition( SMALLER == static_cast(-1) ); + + int xsign = sign(xnum) * sign(xden) ; + int ysign = sign(ynum) * sign(yden) ; + if (xsign == 0) return static_cast(-ysign); + if (ysign == 0) return static_cast(xsign); + // now (x != 0) && (y != 0) + int diff = xsign - ysign; + if (diff == 0) + { + int msign = sign(xden) * sign(yden); + NT leftop = NT(xnum * yden * msign); + NT rightop = NT(ynum * xden * msign); + return compare(leftop, rightop); + } + else + { + return (xsign < ysign) ? SMALLER : LARGER; + } +} + + CGAL_NTS_END_NAMESPACE } //namespace CGAL From ae945cd329dd1faae3787fa4ea70ae37ea4fa32a Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 18 Mar 2021 14:14:42 +0100 Subject: [PATCH 06/29] Avoid division for bounded side test --- .../include/CGAL/Cartesian/function_objects.h | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h index 943cc686804..1bd6debebc4 100644 --- a/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h +++ b/Cartesian_kernel/include/CGAL/Cartesian/function_objects.h @@ -253,18 +253,18 @@ namespace CartesianKernelFunctors { result_type operator()( const Tetrahedron_3& t, const Point_3& p) const { - FT alpha, beta, gamma; + FT alpha, beta, gamma, denom; Cartesian_internal::solve(t.vertex(1)-t.vertex(0), t.vertex(2)-t.vertex(0), t.vertex(3)-t.vertex(0), - p - t.vertex(0), alpha, beta, gamma); + p - t.vertex(0), alpha, beta, gamma, denom); if ( (alpha < 0) || (beta < 0) || (gamma < 0) - || (alpha + beta + gamma > 1) ) + || (alpha + beta + gamma > denom) ) return ON_UNBOUNDED_SIDE; if ( (alpha == 0) || (beta == 0) || (gamma == 0) - || (alpha+beta+gamma == 1) ) + || (alpha+beta+gamma == denom) ) return ON_BOUNDARY; return ON_BOUNDED_SIDE; @@ -3860,10 +3860,10 @@ namespace CartesianKernelFunctors { v1 = t.vertex(1)-o, v2 = t.vertex(2)-o; - FT alpha, beta, gamma; - Cartesian_internal::solve(v0, v1, v2, p-o, alpha, beta, gamma); + FT alpha, beta, gamma, denum; + Cartesian_internal::solve(v0, v1, v2, p-o, alpha, beta, gamma, denum); return (alpha >= FT(0)) && (beta >= FT(0)) && (gamma >= FT(0)) - && ((alpha+beta+gamma == FT(1))); + && ((alpha+beta+gamma == denum)); } result_type From 2e0f01be945200e4a3bbe9a1d92af45a1800d5ca Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 18 Mar 2021 14:17:41 +0100 Subject: [PATCH 07/29] WIP: make several do_intersect division free and several no longer compute the intersection. Plane/Plane/Plane as well as Plane/Ray are still wrong --- .../internal/intersection_3_1_impl.h | 130 ++++++++++++++++-- 1 file changed, 119 insertions(+), 11 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 2ade2d2fcab..291ba03160b 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -853,9 +853,9 @@ do_intersect(const typename K::Plane_3 &p, typedef typename K::FT FT; const FT d2 = CGAL::square(p.a()*s.center().x() + p.b()*s.center().y() + - p.c()*s.center().z() + p.d()) / - (square(p.a()) + square(p.b()) + square(p.c())); - return d2 <= s.squared_radius(); + p.c()*s.center().z() + p.d()); + + return d2 <= s.squared_radius() * (square(p.a()) + square(p.b()) + square(p.c())); } template @@ -1642,7 +1642,39 @@ template inline bool do_intersect(const Plane_3& plane1, const Plane_3& plane2, const R&) { - return bool(intersection(plane1, plane2)); + typedef typename R::RT RT; + const RT &a = plane1.a(); + const RT &b = plane1.b(); + const RT &c = plane1.c(); + const RT &d = plane1.d(); + const RT &p = plane2.a(); + const RT &q = plane2.b(); + const RT &r = plane2.c(); + const RT &s = plane2.d(); + + RT det = a*q-p*b; + if (det != 0) { + return true; + } + det = a*r-p*c; + if (det != 0) { + return true; + } + det = b*r-c*q; + if (det != 0) { + return true; + } +// degenerate case + if (a!=0 || p!=0) { + return (a*s == p*d); + } + if (b!=0 || q!=0) { + return (b*s == q*d); + } + if (c!=0 || r!=0) { + return (c*s == r*d); + } + return true; } @@ -1651,29 +1683,105 @@ inline bool do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, const Plane_3 &plane3, const R& r) { - return bool(intersection(plane1, plane2, plane3, r)); + return ! is_zero(determinant(plane1.a(), plane1.b(), plane1.c(), + plane2.a(), plane2.b(), plane2.c(), + plane3.a(), plane3.b(), plane3.c())); } template inline bool -do_intersect(const Iso_cuboid_3 &i, const Iso_cuboid_3 &j, const R&) +do_intersect(const Iso_cuboid_3 &icub1, const Iso_cuboid_3 &icub2, const R&) { - return bool(CGAL::intersection(i, j)); + typedef typename R::Point_3 Point_3; + typedef typename R::Iso_cuboid_3 Iso_cuboid_3; + + Point_3 min_points[2]; + Point_3 max_points[2]; + min_points[0] = (icub1.min)(); + min_points[1] = (icub2.min)(); + max_points[0] = (icub1.max)(); + max_points[1] = (icub2.max)(); + const int DIM = 3; + int min_idx[DIM]; + int max_idx[DIM]; + Point_3 newmin; + Point_3 newmax; + for (int dim = 0; dim < DIM; ++dim) { + min_idx[dim] = + min_points[0].cartesian(dim) >= min_points[1].cartesian(dim) ? 0 : 1; + max_idx[dim] = + max_points[0].cartesian(dim) <= max_points[1].cartesian(dim) ? 0 : 1; + if (min_idx[dim] != max_idx[dim] + && max_points[max_idx[dim]].cartesian(dim) + < min_points[min_idx[dim]].cartesian(dim)) + return false; + } + return true; + } template inline bool -do_intersect(const Line_3 &l, const Iso_cuboid_3 &j, const R&) +do_intersect(const Line_3 &line, const Iso_cuboid_3 &box, const R&) { - return bool(CGAL::intersection(l, j)); + typedef typename R::Point_3 Point_3; + typedef typename R::Vector_3 Vector_3; + typedef typename R::FT FT; + bool all_values = true; + FT _min = 0, _max = 0; // initialization to stop compiler warning + FT _denum; + Point_3 const & _ref_point=line.point(); + Vector_3 const & _dir=line.direction().vector(); + Point_3 const & _iso_min=(box.min)(); + Point_3 const & _iso_max=(box.max)(); + for (int i=0; i< _ref_point.dimension(); i++) { + if (_dir.homogeneous(i) == 0) { + if (_ref_point.cartesian(i) < _iso_min.cartesian(i)) { + return false; + } + if (_ref_point.cartesian(i) > _iso_max.cartesian(i)) { + return false; + } + } else { + FT newmin, newmax; + FT newdenum = _dir.cartesian(i); + if (_dir.homogeneous(i) > 0) { + newmin = (_iso_min.cartesian(i) - _ref_point.cartesian(i)); + newmax = (_iso_max.cartesian(i) - _ref_point.cartesian(i)); + } else { + newmin = (_iso_max.cartesian(i) - _ref_point.cartesian(i)); + newmax = (_iso_min.cartesian(i) - _ref_point.cartesian(i)); + } + if (all_values) { + _min = newmin; + _max = newmax; + _denum = newdenum; + } else { + + if (compare(newmin, newdenum, _min, _denum) == LARGER) + _min = newmin; + if (compare(newmax, newdenum, _max, _denum) == LARGER) + _max = newmax; + if (compare(_max, _denum, _min, _denum) == SMALLER) { + return false; + } + _denum = newdenum; + + } + all_values = false; + } + } + CGAL_kernel_assertion(!all_values); + return true; } + template inline bool -do_intersect(const Iso_cuboid_3 &j, const Line_3 &l, const R&) +do_intersect(const Iso_cuboid_3 &j, const Line_3 &l, const R& r) { - return bool(CGAL::intersection(l, j)); + return do_intersect(l, j, r); } } // namespace internal } // namespace Intersections From 75a2541d12d585bb28639444677c239f042c46db Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 18 Mar 2021 14:37:34 +0100 Subject: [PATCH 08/29] Add Plane/Ray --- .../internal/intersection_3_1_impl.h | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 291ba03160b..f1439ac3386 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -523,6 +523,7 @@ do_intersect(const typename K::Segment_3 &s1, return false; } + // AF: to be fixed template typename Intersection_traits::result_type intersection(const typename K::Line_3 &l, @@ -971,16 +972,13 @@ do_intersect(const typename K::Plane_3 &plane, { typedef typename K::Point_3 Point_3; - typename Intersection_traits - ::result_type - line_intersection = internal::intersection(plane, ray.supporting_line(), k); + K::Oriented_side_3 oriented_side_3; - if(!line_intersection) - return false; - if(const Point_3 *isp = intersect_get(line_intersection)) - return ray.collinear_has_on(*isp); - - return true; + Oriented_side os = oriented_side_3(plane,ray.source()); + if(os == ON_ORIENTED_BOUNDARY){ + return true; + } + return sign(ray.to_vector()* plane.orthogonal_vector()) * os == -1; } From 8eea3e70bb04572e4a0a84033baa599cb4b0bcc0 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Sun, 21 Mar 2021 18:17:13 +0100 Subject: [PATCH 09/29] typename --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index f1439ac3386..b06bee78f28 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -523,7 +523,7 @@ do_intersect(const typename K::Segment_3 &s1, return false; } - // AF: to be fixed + template typename Intersection_traits::result_type intersection(const typename K::Line_3 &l, @@ -972,7 +972,7 @@ do_intersect(const typename K::Plane_3 &plane, { typedef typename K::Point_3 Point_3; - K::Oriented_side_3 oriented_side_3; + typename K::Oriented_side_3 oriented_side_3; Oriented_side os = oriented_side_3(plane,ray.source()); if(os == ON_ORIENTED_BOUNDARY){ From a522818877394da6cd348c2cdb4014a51979a7b8 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Sun, 21 Mar 2021 19:06:01 +0100 Subject: [PATCH 10/29] Move compare into a namespace --- .../Min_sphere_of_spheres_d_impl.h | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/Bounding_volumes/include/CGAL/Min_sphere_of_spheres_d/Min_sphere_of_spheres_d_impl.h b/Bounding_volumes/include/CGAL/Min_sphere_of_spheres_d/Min_sphere_of_spheres_d_impl.h index 1a9263fd081..c4f37b4ddca 100644 --- a/Bounding_volumes/include/CGAL/Min_sphere_of_spheres_d/Min_sphere_of_spheres_d_impl.h +++ b/Bounding_volumes/include/CGAL/Min_sphere_of_spheres_d/Min_sphere_of_spheres_d_impl.h @@ -30,6 +30,8 @@ namespace CGAL_MINIBALL_NAMESPACE { +namespace Bounding_volumes { + template inline bool compare(const FT& a,const FT& b, const FT& ap,const FT& bp) { @@ -56,6 +58,8 @@ namespace CGAL_MINIBALL_NAMESPACE { } } +} // namespace Bounding_volumes + template void Min_sphere_of_spheres_d::update(LP_algorithm) { using namespace Min_sphere_of_spheres_d_impl; @@ -168,7 +172,7 @@ namespace CGAL_MINIBALL_NAMESPACE { t.center_cartesian_begin(*l[k]),FT(0),std::plus(), Subtract_and_square()); - if (compare(max,maxp,t.radius(*l[k]),dist)) { + if (Bounding_volumes::compare(max,maxp,t.radius(*l[k]),dist)) { max = t.radius(*l[k]); maxp = dist; i = k; @@ -203,7 +207,7 @@ namespace CGAL_MINIBALL_NAMESPACE { Subtract_and_square_to_double()); const double r = CGAL_MINIBALL_NTS to_double(t.radius(*l[k])); - if (compare(max,maxp,r,dist)) { + if (Bounding_volumes::compare(max,maxp,r,dist)) { max = r; maxp = dist; i = k; From a4c57e6f66cc6b603c546ea2dda4c4ac211f112f Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Sun, 21 Mar 2021 19:35:41 +0100 Subject: [PATCH 11/29] Keep the old solve() --- Cartesian_kernel/include/CGAL/Cartesian/solve_3.h | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h b/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h index 81d1f422a2d..b6ec10bb023 100644 --- a/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h +++ b/Cartesian_kernel/include/CGAL/Cartesian/solve_3.h @@ -38,6 +38,20 @@ void solve (const VectorC3 &v0, alpha, beta, gamma, denom); } +template +void solve (const VectorC3 &v0, + const VectorC3 &v1, + const VectorC3 &v2, + const VectorC3 &d, + typename R::FT &alpha, typename R::FT &beta, typename R::FT &gamma) +{ + CGAL::solve(v0.x(), v0.y(), v0.z(), + v1.x(), v1.y(), v1.z(), + v2.x(), v2.y(), v2.z(), + d.x(), d.y(), d.z(), + alpha, beta, gamma); +} + } // namespace Cartesian_internal } //namespace CGAL From 45909e6d766f01ca30cbdc767bbe1c9866288038 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 22 Mar 2021 09:01:56 +0100 Subject: [PATCH 12/29] Let's fix it step by step, beginning with Do_intersect_3 --- Kernel_23/include/CGAL/Kernel/interface_macros.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Kernel_23/include/CGAL/Kernel/interface_macros.h b/Kernel_23/include/CGAL/Kernel/interface_macros.h index 40836bde411..9ecc05bbd1d 100644 --- a/Kernel_23/include/CGAL/Kernel/interface_macros.h +++ b/Kernel_23/include/CGAL/Kernel/interface_macros.h @@ -494,8 +494,8 @@ CGAL_Kernel_pred_RT(Coplanar_3, coplanar_3_object) CGAL_Kernel_pred(Counterclockwise_in_between_2, counterclockwise_in_between_2_object) -CGAL_Kernel_pred_RT(Do_intersect_2, - do_intersect_2_object) +CGAL_Kernel_pred(Do_intersect_2, + do_intersect_2_object) CGAL_Kernel_pred_RT(Do_intersect_3, do_intersect_3_object) CGAL_Kernel_pred(Equal_xy_3, From 23f1badd8559600b8e81222c4e0d94962740d034 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 22 Mar 2021 09:03:50 +0100 Subject: [PATCH 13/29] Use is_zero() instead of == FT(0) --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index b06bee78f28..7d8ca152adb 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -239,7 +239,7 @@ intersection_point(const typename K::Plane_3 &plane1, const FT den = minor_0*m22 - minor_1*m12 + minor_2*m02; // determinant of M - if(den == FT(0)){ + if(is_zero(den)){ return boost::none; } @@ -379,7 +379,7 @@ intersection(const typename K::Line_3 &l1, const Vector_3 v3v2 = cross_product(v3,v2); const Vector_3 v1v2 = cross_product(v1,v2); const FT sl = v1v2.squared_length(); - if(certainly(sl == FT(0))) + if(certainly(is_zero(sl))) return intersection_return(); const FT t = ((v3v2.x()*v1v2.x()) + (v3v2.y()*v1v2.y()) + (v3v2.z()*v1v2.z())) / sl; From 6c7f05e0be07d81b6291a0b0bc5841eabf747835 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 29 Mar 2021 16:03:06 +0100 Subject: [PATCH 14/29] rank written by Sebastien --- Kernel_23/include/CGAL/rank.h | 164 ++++++++++++++++++++++++++++++ Kernel_23/test/Kernel_23/rank.cpp | 115 +++++++++++++++++++++ 2 files changed, 279 insertions(+) create mode 100644 Kernel_23/include/CGAL/rank.h create mode 100644 Kernel_23/test/Kernel_23/rank.cpp diff --git a/Kernel_23/include/CGAL/rank.h b/Kernel_23/include/CGAL/rank.h new file mode 100644 index 00000000000..58c2c5ac09a --- /dev/null +++ b/Kernel_23/include/CGAL/rank.h @@ -0,0 +1,164 @@ +// Copyright (c) 2021 +// GeometryFactory (France), +// +// This file is part of CGAL (www.cgal.org) +// +// $URL$ +// $Id$ +// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial +// +// +// Author(s) : Sebastien Loriot + +#ifndef CGAL_RANK_H +#define CGAL_RANK_H + +namespace CGAL { + +template +int rank_11(const RT& a0) +{ + return a0!=0 ? 1 : 0; +} + +template +int rank_21(const RT& a0, const RT& a1) +{ + return (a0!=0 || a1 !=0) ? 1 : 0; +} + +template +int rank_12(const RT& a0, const RT& a1) +{ + return (a0!=0 || a1 !=0) ? 1 : 0; +} + +template +int rank_31(const RT& a0, const RT& a1, const RT& a2) +{ + return (a0!=0 || a1 !=0 || a2 !=0) ? 1 : 0; +} + +template +int rank_32(const RT& a0, const RT& b0, + const RT& a1, const RT& b1, + const RT& a2, const RT& b2) +{ + if (a0==0) + { + if (a1==0) + { + if (a2==0) + { + return rank_31(b0,b1,b2); + } + else + { + return 1 + rank_21(b0, b1); + } + } + else + { + return 1 + rank_21(b0, a1*b2-a2*b1); + } + } + else + { + return 1 + rank_21(a0*b1-a1*b0, a0*b2-a2*b0); + } +} + +template +int rank_22(const RT& a0, const RT& b0, + const RT& a1, const RT& b1) +{ + if (a0==0) + { + if (a1==0) + { + return rank_21(b0,b1); + } + else + return 1 + rank_11(b0); + } + return 1 + rank_11(a0*b1-a1*b0); +} + +template +int rank_33(const RT& a0, const RT& b0, const RT& c0, + const RT& a1, const RT& b1, const RT& c1, + const RT& a2, const RT& b2, const RT& c2) +{ + if (a0==0) + { + if (a1==0) + { + if (a2==0) + { + return rank_32(b0, c0, b1, c1, b2, c2); + } + else + { + return 1 + rank_22(b0, c0, b1, c1); + } + } + else + return 1 + rank_22(b0, c0, a1*b2-a2*b1, a1*c2-a2*c1); + } + else + { + return 1 + rank_22(a0*b1-a1*b0, a0*c1-a1*c0, a0*b2-a2*b0, a0*c2-a2*c0); + } +} + + +template +int rank_23(const RT& a0, const RT& b0, const RT& c0, + const RT& a1, const RT& b1, const RT& c1) +{ + if (a0==0) + { + if (a1==0) + { + return rank_22(b0, c0, b1, c1); + } + else + return 1 + rank_12(b0,c0); + } + else + { + return 1 + rank_12(a0*b1-a1*b0,a0*c1-a1*c0); + } +} + + +template +int rank_34(const RT& a0, const RT& b0, const RT& c0, const RT& d0, + const RT& a1, const RT& b1, const RT& c1, const RT& d1, + const RT& a2, const RT& b2, const RT& c2, const RT& d2) +{ + if (a0==0) + { + if (a1==0) + { + if (a2==0) + { + return rank_33(b0, c0, d0, b1, c1, d1, b2, c2, d2); + } + else + { + return 1 + rank_23(b0, c0, d0, b1, c1, d1); + } + } + else + return 1 + rank_23(b0, c0, d0,a1*b2-a2*b1, a1*c2-a2*c1, a1*d2 - a2*d1); + } + else + { + return 1 + rank_23(a0*b1-a1*b0, a0*c1-a1*c0, a0*d1-a1*d0, a0*b2-a2*b0, a0*c2-a2*c0, a0*d2-a2*d0); + } +} + +} // namespace CGAL + +#endif // CGAL_RANK_H diff --git a/Kernel_23/test/Kernel_23/rank.cpp b/Kernel_23/test/Kernel_23/rank.cpp new file mode 100644 index 00000000000..5856d9e86ab --- /dev/null +++ b/Kernel_23/test/Kernel_23/rank.cpp @@ -0,0 +1,115 @@ +#include +#include +#include + +typedef int FT; + + +void test_rank_33(FT a0, FT b0, FT c0, + FT a1, FT b1, FT c1, + FT a2, FT b2, FT c2, + int expected) +{ + std::cout << "testing:\n" + << "\t " << a0 << "\t" << b0 << "\t" << c0 << "\n" + << "\t " << a1 << "\t" << b1 << "\t" << c1 << "\n" + << "\t " << a2 << "\t" << b2 << "\t" << c2 << "\n"; + + assert(CGAL::rank_33(a0,b0,c0,a1,b1,c1,a2,b2,c2)==expected); + assert(CGAL::rank_33(a0,b0,c0,a2,b2,c2,a1,b1,c1)==expected); + assert(CGAL::rank_33(a1,b1,c1,a0,b0,c0,a2,b2,c2)==expected); + assert(CGAL::rank_33(a1,b1,c1,a2,b2,c2,a0,b0,c0)==expected); + assert(CGAL::rank_33(a2,b2,c2,a0,b0,c0,a1,b1,c1)==expected); + assert(CGAL::rank_33(a2,b2,c2,a1,b1,c1,a0,b0,c0)==expected); +} + +void test_rank_34(FT a0, FT b0, FT c0, FT d0, + FT a1, FT b1, FT c1, FT d1, + FT a2, FT b2, FT c2, FT d2, + int expected) +{ + std::cout << "testing:\n" + << "\t " << a0 << "\t" << b0 << "\t" << c0 << "\t" << d0 << "\n" + << "\t " << a1 << "\t" << b1 << "\t" << c1 << "\t" << d1 << "\n" + << "\t " << a2 << "\t" << b2 << "\t" << c2 << "\t" << d2 << "\n"; + + assert(CGAL::rank_34(a0,b0,c0,d0,a1,b1,c1,d1,a2,b2,c2,d2)==expected); + assert(CGAL::rank_34(a0,b0,c0,d0,a2,b2,c2,d2,a1,b1,c1,d1)==expected); + assert(CGAL::rank_34(a1,b1,c1,d1,a0,b0,c0,d0,a2,b2,c2,d2)==expected); + assert(CGAL::rank_34(a1,b1,c1,d1,a2,b2,c2,d2,a0,b0,c0,d0)==expected); + assert(CGAL::rank_34(a2,b2,c2,d2,a0,b0,c0,d0,a1,b1,c1,d1)==expected); + assert(CGAL::rank_34(a2,b2,c2,d2,a1,b1,c1,d1,a0,b0,c0,d0)==expected); +} + + + +int main() +{ + test_rank_33(1,0,0, + 0,1,0, + 0,0,1, 3); + test_rank_33(1,0,0, + 0,1,0, + 1,0,1, 3); + test_rank_33(1,0,0, + 1,1,1, + 1,0,1, 3); + test_rank_33(1,0,0, + 1,1,1, + 1,0,1, 3); + test_rank_33(1,0,0, + 1,1,0, + 1,5,0, 2); + test_rank_33(0,0,0, + 0,0,0, + 0,0,0, 0); + test_rank_33(1,2,3, + 1,2,3, + 1,2,3, 1); + test_rank_33(1,2,3, + 2,4,6, + 4,8,12, 1); + test_rank_33(1,2,3, + 2,4,6, + 4,8,11, 2); + test_rank_33(1,0,1, + 1,0,1, + 1,0,1, 1); + test_rank_33(1,1,1, + 1,0,1, + 1,0,1, 2); + + test_rank_33(0,1,1, + 0,0,1, + 0,0,1, 2); + + test_rank_34(1,0,0,0, + 0,1,0,0, + 0,0,1,0, 3); + + test_rank_34(1,0,0,0, + 0,1,0,0, + 1,1,0,0, 2); + + test_rank_34(1,0,0,0, + 0,1,0,0, + 1,1,0,1, 3); + + test_rank_34(0,1,0,0, + 0,0,1,0, + 0,1,1,0, 2); + + test_rank_34(0,1,0,0, + 0,0,1,0, + 0,1,1,1, 3); + + test_rank_34(1,0,0,0, + 0,0,1,0, + 1,0,1,0, 2); + + test_rank_34(1,0,0,0, + 0,0,1,0, + 1,0,1,1, 3); + + return 0; +} From 99a52959c33ae6fbe480b277d215869d8abc8c49 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 29 Mar 2021 17:15:53 +0100 Subject: [PATCH 15/29] Add the do_intersect for 3 planes using the rank() written by Sebastien --- .../internal/intersection_3_1_impl.h | 32 ++++- .../test/Intersections_3/do_intersect.cpp | 114 ++++++++++++++++++ 2 files changed, 142 insertions(+), 4 deletions(-) create mode 100644 Intersections_3/test/Intersections_3/do_intersect.cpp diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 7d8ca152adb..f07569dc229 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -26,7 +26,7 @@ #include #include #include - +#include #include namespace CGAL { @@ -1681,9 +1681,33 @@ inline bool do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, const Plane_3 &plane3, const R& r) { - return ! is_zero(determinant(plane1.a(), plane1.b(), plane1.c(), - plane2.a(), plane2.b(), plane2.c(), - plane3.a(), plane3.b(), plane3.c())); + if(! is_zero(determinant(plane1.a(), plane1.b(), plane1.c(), + plane2.a(), plane2.b(), plane2.c(), + plane3.a(), plane3.b(), plane3.c()))){ + return true; + } + + int pcount = 0; + bool b12, b13,b23; + if(b12 = parallel(plane1,plane2)) pcount++; + if(b13 = parallel(plane1,plane3)) pcount++; + if(b23 = parallel(plane2,plane3)) pcount++; + + if(pcount == 3){ + return (( (plane1 == plane2) || (plane1 == plane2.opposite())) && ( (plane1 == plane3) || (plane1 == plane3.opposite()))); + } + + if(pcount == 1){ + if(b12 && ((plane1 == plane2)||(plane1 == plane2.opposite() ))) return true; + if(b13 && ((plane1 == plane3)||(plane1 == plane3.opposite() ))) return true; + if(b23 && ((plane2 == plane3)||(plane2 == plane3.opposite() ))) return true; + } + + int rd = rank_34(plane1.a(), plane1.b(), plane1.c(), plane1.d(), + plane2.a(), plane2.b(), plane2.c(), plane2.d(), + plane3.a(), plane3.b(), plane3.c(), plane3.d()); + + return rd == 2; } diff --git a/Intersections_3/test/Intersections_3/do_intersect.cpp b/Intersections_3/test/Intersections_3/do_intersect.cpp new file mode 100644 index 00000000000..60a583ad484 --- /dev/null +++ b/Intersections_3/test/Intersections_3/do_intersect.cpp @@ -0,0 +1,114 @@ +#include + +typedef CGAL::Exact_predicates_inexact_constructions_kernel K; +typedef K::Triangle_3 Triangle_3; +typedef K::Segment_3 Segment_3; +typedef K::Ray_3 Ray_3; +typedef K::Line_3 Line_3; +typedef K::Tetrahedron_3 Tetrahedron_3; +typedef K::Point_3 Point_3; +typedef K::Plane_3 Plane_3; +typedef K::Iso_cuboid_3 Iso_cuboid_3; +typedef K::Sphere_3 Sphere_3; + +int main() +{ + Point_3 p(0,0,0), q(1,1,1), r(1,0,0), s(1,1,0); + Segment_3 s0(p,q),s1(p,q); + Ray_3 ray(p,q); + Line_3 lin(p,q); + Triangle_3 t0(p,q,r), t1(p,q,r); + Tetrahedron_3 tet(p,q,r,s); + Plane_3 pla(p,q,r); + Iso_cuboid_3 ic(p,q); + Sphere_3 sp(p,1); + CGAL::Bbox_3 bb; + + do_intersect(p,sp); + do_intersect(bb,t0); + do_intersect(t0,t1); + do_intersect(t0,s0); + do_intersect(t0,ray); + do_intersect(t0,lin); + + do_intersect(s0,s1); + do_intersect(pla,s0); + do_intersect(pla,lin); + do_intersect(pla,ray); + do_intersect(pla,pla); + do_intersect(pla,pla,pla); + do_intersect(tet,p); + do_intersect(ic,s0); + do_intersect(ic,ray); + do_intersect(ic,ic); + do_intersect(ic,lin); + do_intersect(ic,pla); + do_intersect(ic,ic); + do_intersect(sp,sp); + + + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); + Plane_3 p1(Point_3(0,0,1), Point_3(1,0,1), Point_3(1,1,1)); + Plane_3 p2(Point_3(0,0,2), Point_3(1,0,2), Point_3(1,1,2)); + + assert(do_intersect(p0,p1,p2) == false); // three parallel + } + + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); + Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); + Plane_3 p1(Point_3(10,10,0), Point_3(10,20,0), Point_3(20,20,0)); + + assert(do_intersect(p0,p1,p2) == true); // three equal + } + + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); + Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); + Plane_3 p1(Point_3(10,10,1), Point_3(10,20,1), Point_3(20,20,1)); + + assert(do_intersect(p0,p1,p2) == false); // two equal, one parallel + } + + { + Plane_3 p0(Point_3(0,0,0), Point_3(0,1,0), Point_3(0,0,1)); + + Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); + Plane_3 p1(Point_3(10,10,1), Point_3(10,20,1), Point_3(20,20,1)); + + assert(do_intersect(p0,p1,p2) == false); // two parallel, one intersecting both + } + + { + Plane_3 p0(Point_3(0,0,0), Point_3(0,1,0), Point_3(0,0,1)); + Plane_3 p1(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); + Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); + assert(do_intersect(p0,p1,p2) == true); // two equal, one intersecting + } + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,1,1), Point_3(0,0,1)); + Plane_3 p1(Point_3(2,2,2), Point_3(6,6,6), Point_3(0,1,0)); + Plane_3 p2(Point_3(3,3,3), Point_3(5,5,5), Point_3(1,0,0)); + + assert(do_intersect(p0,p1,p2) == true); // three in a line + } + + + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(0,1,0)); // xy + Plane_3 p1(Point_3(0,0,0), Point_3(0,0,1), Point_3(0,1,1)); // yz + Plane_3 p2(Point_3(0,0,10), Point_3(0,1,10), Point_3(1,0,0)); // + + assert(do_intersect(p0,p1,p2) == false); // pairwise intersections, i.e. 3 lines + } + + { + Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(0,1,0)); + Plane_3 p1(Point_3(0,0,0), Point_3(1,1,1), Point_3(1,1,0)); + Plane_3 p2(Point_3(1,0,1), Point_3(1,1,5), Point_3(0,1,1)); + + assert(do_intersect(p0,p1,p2) == true); // three in a point + } + return 0; +} From c6b20383531cc390b0529dbe6f1b855fbdf92313 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Mon, 29 Mar 2021 17:40:46 +0100 Subject: [PATCH 16/29] Rename test --- .../test/Intersections_3/{do_intersect.cpp => do_intersect_3.cpp} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Intersections_3/test/Intersections_3/{do_intersect.cpp => do_intersect_3.cpp} (100%) diff --git a/Intersections_3/test/Intersections_3/do_intersect.cpp b/Intersections_3/test/Intersections_3/do_intersect_3.cpp similarity index 100% rename from Intersections_3/test/Intersections_3/do_intersect.cpp rename to Intersections_3/test/Intersections_3/do_intersect_3.cpp From dbfb7157bbb7f4d4d383a3642c447cac3f680552 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Tue, 30 Mar 2021 10:14:02 +0100 Subject: [PATCH 17/29] Rename compare() to compare_quotients() --- Algebraic_foundations/include/CGAL/number_utils.h | 4 ++-- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 6 +++--- 2 files changed, 5 insertions(+), 5 deletions(-) diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h index 7195f057cef..298f2708e23 100644 --- a/Algebraic_foundations/include/CGAL/number_utils.h +++ b/Algebraic_foundations/include/CGAL/number_utils.h @@ -326,8 +326,8 @@ NT approximate_sqrt(const NT& nt) template Comparison_result -compare(const NT& xnum, const NT& xden, - const NT& ynum, const NT& yden) +compare_quotients(const NT& xnum, const NT& xden, + const NT& ynum, const NT& yden) { // No assumptions on the sign of den are made diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index f07569dc229..9b2ff958e8d 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -1781,11 +1781,11 @@ do_intersect(const Line_3 &line, const Iso_cuboid_3 &box, const R&) _denum = newdenum; } else { - if (compare(newmin, newdenum, _min, _denum) == LARGER) + if (compare_quotients(newmin, newdenum, _min, _denum) == LARGER) _min = newmin; - if (compare(newmax, newdenum, _max, _denum) == LARGER) + if (compare_quotients(newmax, newdenum, _max, _denum) == LARGER) _max = newmax; - if (compare(_max, _denum, _min, _denum) == SMALLER) { + if (compare_quotients(_max, _denum, _min, _denum) == SMALLER) { return false; } _denum = newdenum; From 7ebdd07a4c406758a13697d4287c566169f00e8f Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Tue, 30 Mar 2021 14:28:55 +0100 Subject: [PATCH 18/29] Add to rank as expression templates don't match --- .../internal/intersection_3_1_impl.h | 8 +++-- Kernel_23/include/CGAL/rank.h | 36 +++++++++---------- 2 files changed, 23 insertions(+), 21 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 9b2ff958e8d..8ac11d3310f 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -1681,6 +1681,8 @@ inline bool do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, const Plane_3 &plane3, const R& r) { + typedef typename R::RT RT; + if(! is_zero(determinant(plane1.a(), plane1.b(), plane1.c(), plane2.a(), plane2.b(), plane2.c(), plane3.a(), plane3.b(), plane3.c()))){ @@ -1703,9 +1705,9 @@ do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, if(b23 && ((plane2 == plane3)||(plane2 == plane3.opposite() ))) return true; } - int rd = rank_34(plane1.a(), plane1.b(), plane1.c(), plane1.d(), - plane2.a(), plane2.b(), plane2.c(), plane2.d(), - plane3.a(), plane3.b(), plane3.c(), plane3.d()); + int rd = rank_34(plane1.a(), plane1.b(), plane1.c(), plane1.d(), + plane2.a(), plane2.b(), plane2.c(), plane2.d(), + plane3.a(), plane3.b(), plane3.c(), plane3.d()); return rd == 2; } diff --git a/Kernel_23/include/CGAL/rank.h b/Kernel_23/include/CGAL/rank.h index 58c2c5ac09a..2951e92c562 100644 --- a/Kernel_23/include/CGAL/rank.h +++ b/Kernel_23/include/CGAL/rank.h @@ -50,21 +50,21 @@ int rank_32(const RT& a0, const RT& b0, { if (a2==0) { - return rank_31(b0,b1,b2); + return rank_31(b0,b1,b2); } else { - return 1 + rank_21(b0, b1); + return 1 + rank_21(b0, b1); } } else { - return 1 + rank_21(b0, a1*b2-a2*b1); + return 1 + rank_21(b0, a1*b2-a2*b1); } } else { - return 1 + rank_21(a0*b1-a1*b0, a0*b2-a2*b0); + return 1 + rank_21(a0*b1-a1*b0, a0*b2-a2*b0); } } @@ -76,12 +76,12 @@ int rank_22(const RT& a0, const RT& b0, { if (a1==0) { - return rank_21(b0,b1); + return rank_21(b0,b1); } else - return 1 + rank_11(b0); + return 1 + rank_11(b0); } - return 1 + rank_11(a0*b1-a1*b0); + return 1 + rank_11(a0*b1-a1*b0); } template @@ -95,19 +95,19 @@ int rank_33(const RT& a0, const RT& b0, const RT& c0, { if (a2==0) { - return rank_32(b0, c0, b1, c1, b2, c2); + return rank_32(b0, c0, b1, c1, b2, c2); } else { - return 1 + rank_22(b0, c0, b1, c1); + return 1 + rank_22(b0, c0, b1, c1); } } else - return 1 + rank_22(b0, c0, a1*b2-a2*b1, a1*c2-a2*c1); + return 1 + rank_22(b0, c0, a1*b2-a2*b1, a1*c2-a2*c1); } else { - return 1 + rank_22(a0*b1-a1*b0, a0*c1-a1*c0, a0*b2-a2*b0, a0*c2-a2*c0); + return 1 + rank_22(a0*b1-a1*b0, a0*c1-a1*c0, a0*b2-a2*b0, a0*c2-a2*c0); } } @@ -120,14 +120,14 @@ int rank_23(const RT& a0, const RT& b0, const RT& c0, { if (a1==0) { - return rank_22(b0, c0, b1, c1); + return rank_22(b0, c0, b1, c1); } else - return 1 + rank_12(b0,c0); + return 1 + rank_12(b0,c0); } else { - return 1 + rank_12(a0*b1-a1*b0,a0*c1-a1*c0); + return 1 + rank_12(a0*b1-a1*b0,a0*c1-a1*c0); } } @@ -143,19 +143,19 @@ int rank_34(const RT& a0, const RT& b0, const RT& c0, const RT& d0, { if (a2==0) { - return rank_33(b0, c0, d0, b1, c1, d1, b2, c2, d2); + return rank_33(b0, c0, d0, b1, c1, d1, b2, c2, d2); } else { - return 1 + rank_23(b0, c0, d0, b1, c1, d1); + return 1 + rank_23(b0, c0, d0, b1, c1, d1); } } else - return 1 + rank_23(b0, c0, d0,a1*b2-a2*b1, a1*c2-a2*c1, a1*d2 - a2*d1); + return 1 + rank_23(b0, c0, d0,a1*b2-a2*b1, a1*c2-a2*c1, a1*d2 - a2*d1); } else { - return 1 + rank_23(a0*b1-a1*b0, a0*c1-a1*c0, a0*d1-a1*d0, a0*b2-a2*b0, a0*c2-a2*c0, a0*d2-a2*d0); + return 1 + rank_23(a0*b1-a1*b0, a0*c1-a1*c0, a0*d1-a1*d0, a0*b2-a2*b0, a0*c2-a2*c0, a0*d2-a2*d0); } } From 6ac2ee54db3edcf03c3d3079a42b256a142adf4a Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Tue, 30 Mar 2021 14:39:27 +0100 Subject: [PATCH 19/29] Remove a test file as it adds nothing new --- .../test/Intersections_3/do_intersect_3.cpp | 114 ------------------ 1 file changed, 114 deletions(-) delete mode 100644 Intersections_3/test/Intersections_3/do_intersect_3.cpp diff --git a/Intersections_3/test/Intersections_3/do_intersect_3.cpp b/Intersections_3/test/Intersections_3/do_intersect_3.cpp deleted file mode 100644 index 60a583ad484..00000000000 --- a/Intersections_3/test/Intersections_3/do_intersect_3.cpp +++ /dev/null @@ -1,114 +0,0 @@ -#include - -typedef CGAL::Exact_predicates_inexact_constructions_kernel K; -typedef K::Triangle_3 Triangle_3; -typedef K::Segment_3 Segment_3; -typedef K::Ray_3 Ray_3; -typedef K::Line_3 Line_3; -typedef K::Tetrahedron_3 Tetrahedron_3; -typedef K::Point_3 Point_3; -typedef K::Plane_3 Plane_3; -typedef K::Iso_cuboid_3 Iso_cuboid_3; -typedef K::Sphere_3 Sphere_3; - -int main() -{ - Point_3 p(0,0,0), q(1,1,1), r(1,0,0), s(1,1,0); - Segment_3 s0(p,q),s1(p,q); - Ray_3 ray(p,q); - Line_3 lin(p,q); - Triangle_3 t0(p,q,r), t1(p,q,r); - Tetrahedron_3 tet(p,q,r,s); - Plane_3 pla(p,q,r); - Iso_cuboid_3 ic(p,q); - Sphere_3 sp(p,1); - CGAL::Bbox_3 bb; - - do_intersect(p,sp); - do_intersect(bb,t0); - do_intersect(t0,t1); - do_intersect(t0,s0); - do_intersect(t0,ray); - do_intersect(t0,lin); - - do_intersect(s0,s1); - do_intersect(pla,s0); - do_intersect(pla,lin); - do_intersect(pla,ray); - do_intersect(pla,pla); - do_intersect(pla,pla,pla); - do_intersect(tet,p); - do_intersect(ic,s0); - do_intersect(ic,ray); - do_intersect(ic,ic); - do_intersect(ic,lin); - do_intersect(ic,pla); - do_intersect(ic,ic); - do_intersect(sp,sp); - - - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); - Plane_3 p1(Point_3(0,0,1), Point_3(1,0,1), Point_3(1,1,1)); - Plane_3 p2(Point_3(0,0,2), Point_3(1,0,2), Point_3(1,1,2)); - - assert(do_intersect(p0,p1,p2) == false); // three parallel - } - - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); - Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); - Plane_3 p1(Point_3(10,10,0), Point_3(10,20,0), Point_3(20,20,0)); - - assert(do_intersect(p0,p1,p2) == true); // three equal - } - - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); - Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); - Plane_3 p1(Point_3(10,10,1), Point_3(10,20,1), Point_3(20,20,1)); - - assert(do_intersect(p0,p1,p2) == false); // two equal, one parallel - } - - { - Plane_3 p0(Point_3(0,0,0), Point_3(0,1,0), Point_3(0,0,1)); - - Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); - Plane_3 p1(Point_3(10,10,1), Point_3(10,20,1), Point_3(20,20,1)); - - assert(do_intersect(p0,p1,p2) == false); // two parallel, one intersecting both - } - - { - Plane_3 p0(Point_3(0,0,0), Point_3(0,1,0), Point_3(0,0,1)); - Plane_3 p1(Point_3(0,0,0), Point_3(1,0,0), Point_3(1,1,0)); - Plane_3 p2(Point_3(2,2,0), Point_3(4,2,0), Point_3(4,4,0)); - assert(do_intersect(p0,p1,p2) == true); // two equal, one intersecting - } - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,1,1), Point_3(0,0,1)); - Plane_3 p1(Point_3(2,2,2), Point_3(6,6,6), Point_3(0,1,0)); - Plane_3 p2(Point_3(3,3,3), Point_3(5,5,5), Point_3(1,0,0)); - - assert(do_intersect(p0,p1,p2) == true); // three in a line - } - - - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(0,1,0)); // xy - Plane_3 p1(Point_3(0,0,0), Point_3(0,0,1), Point_3(0,1,1)); // yz - Plane_3 p2(Point_3(0,0,10), Point_3(0,1,10), Point_3(1,0,0)); // - - assert(do_intersect(p0,p1,p2) == false); // pairwise intersections, i.e. 3 lines - } - - { - Plane_3 p0(Point_3(0,0,0), Point_3(1,0,0), Point_3(0,1,0)); - Plane_3 p1(Point_3(0,0,0), Point_3(1,1,1), Point_3(1,1,0)); - Plane_3 p2(Point_3(1,0,1), Point_3(1,1,5), Point_3(0,1,1)); - - assert(do_intersect(p0,p1,p2) == true); // three in a point - } - return 0; -} From ab75cbea461e7b4573460510068a1cf2e497bc72 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 1 Apr 2021 18:42:05 +0100 Subject: [PATCH 20/29] Add data set that shows the performance gain when running self_intersections_example.cpp (4.6 sec master, 0.6 sec this PR when run sequentially --- .../Polygon_mesh_processing/data/blade.off | 24455 ++++++++++++++++ 1 file changed, 24455 insertions(+) create mode 100644 Polygon_mesh_processing/examples/Polygon_mesh_processing/data/blade.off diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/data/blade.off b/Polygon_mesh_processing/examples/Polygon_mesh_processing/data/blade.off new file mode 100644 index 00000000000..1837922eeaf --- /dev/null +++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/data/blade.off @@ -0,0 +1,24455 @@ +OFF +8231 16222 0 +1.2725200000000001 12.995900000000001 2.0417200000000002 +2.1514899999999999 14.8637 2.0087600000000001 +1.9427300000000001 12.995900000000001 2.0197400000000001 +2.3492600000000001 14.8637 1.99777 +2.1514899999999999 12.995900000000001 2.0087600000000001 +2.72282 12.995900000000001 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+3 2982 2985 3433 +3 248 250 6165 +3 8152 36 8229 +3 1394 7001 8207 +3 6870 6392 2077 +3 3796 3797 6012 +3 698 633 7298 +3 2176 2177 2226 +3 7466 4122 6163 +3 4816 8195 7517 +3 4070 5785 7644 +3 1528 7147 3261 +3 7148 6626 7731 +3 2919 2866 2920 +3 5000 7434 638 +3 7422 7725 3530 +3 3882 4170 3864 +3 4891 8205 5080 +3 436 5225 8136 +3 4433 4435 4434 +3 8093 6200 7780 +3 8230 5375 867 From abe6aa1eca42ad0038ea60815c37c2c41cc511ea Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 1 Apr 2021 19:48:44 +0100 Subject: [PATCH 21/29] remove unused typedefs --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 3 --- 1 file changed, 3 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 8ac11d3310f..ad5f32f6a5c 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -970,8 +970,6 @@ do_intersect(const typename K::Plane_3 &plane, const typename K::Ray_3 &ray, const K& k) { - typedef typename K::Point_3 Point_3; - typename K::Oriented_side_3 oriented_side_3; Oriented_side os = oriented_side_3(plane,ray.source()); @@ -1718,7 +1716,6 @@ inline bool do_intersect(const Iso_cuboid_3 &icub1, const Iso_cuboid_3 &icub2, const R&) { typedef typename R::Point_3 Point_3; - typedef typename R::Iso_cuboid_3 Iso_cuboid_3; Point_3 min_points[2]; Point_3 max_points[2]; From 38c0c8852cadba91867ef4434d4306d035b259b4 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Sun, 4 Apr 2021 17:39:24 +0100 Subject: [PATCH 22/29] Add the Triangle_3/Triangle_3 to the static version of Do_intersect (Thank you for pointing out @mglisse --- .../include/CGAL/internal/Static_filters/Do_intersect_3.h | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/Filtered_kernel/include/CGAL/internal/Static_filters/Do_intersect_3.h b/Filtered_kernel/include/CGAL/internal/Static_filters/Do_intersect_3.h index 92cbd3ebf3f..00224e87c7d 100644 --- a/Filtered_kernel/include/CGAL/internal/Static_filters/Do_intersect_3.h +++ b/Filtered_kernel/include/CGAL/internal/Static_filters/Do_intersect_3.h @@ -78,6 +78,13 @@ public: return Intersections::internal::do_intersect(t,s, SFK()); } + result_type + operator()(const Triangle_3 &t0, const Triangle_3& t1) const + { + return Intersections::internal::do_intersect(t0,t1, SFK()); + } + + result_type operator()(const Bbox_3& b, const Segment_3 &s) const { From 76719b903f384dbdc92e546cf3ae06e2f9dd2443 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Wed, 7 Apr 2021 12:06:26 +0100 Subject: [PATCH 23/29] Introduce the macro CGAL_NO_MPZF_DIVISION_OPERATOR --- Intersections_3/test/Intersections_3/test_intersections_3.cpp | 3 +++ Number_types/include/CGAL/Mpzf.h | 4 +++- 2 files changed, 6 insertions(+), 1 deletion(-) diff --git a/Intersections_3/test/Intersections_3/test_intersections_3.cpp b/Intersections_3/test/Intersections_3/test_intersections_3.cpp index f93026b3d11..65ec3326031 100644 --- a/Intersections_3/test/Intersections_3/test_intersections_3.cpp +++ b/Intersections_3/test/Intersections_3/test_intersections_3.cpp @@ -1,5 +1,8 @@ // 3D intersection tests. +// We want to check that no division is performed for interface macro Do_intersect_3_RT +#define CGAL_NO_MPZF_DIVISION_OPERATOR + #include #include #include diff --git a/Number_types/include/CGAL/Mpzf.h b/Number_types/include/CGAL/Mpzf.h index f850010b90b..163da7fa066 100644 --- a/Number_types/include/CGAL/Mpzf.h +++ b/Number_types/include/CGAL/Mpzf.h @@ -10,7 +10,9 @@ // // Author(s) : Marc Glisse -//#define CGAL_MPZF_DIVISION_OPERATOR 1 +#ifndef CGAL_NO_MPZF_DIVISION_OPERATOR +#define CGAL_MPZF_DIVISION_OPERATOR 1 +#endif #ifndef CGAL_MPZF_H #define CGAL_MPZF_H From a192a45f5beb0ea036803e1c2d83b9636784b7d5 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Wed, 7 Apr 2021 12:09:16 +0100 Subject: [PATCH 24/29] Fix warning: using the result of an assignment as a condition without parentheses [-Wparentheses] --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index ad5f32f6a5c..7371b641b37 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -1689,9 +1689,9 @@ do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, int pcount = 0; bool b12, b13,b23; - if(b12 = parallel(plane1,plane2)) pcount++; - if(b13 = parallel(plane1,plane3)) pcount++; - if(b23 = parallel(plane2,plane3)) pcount++; + if((b12 = parallel(plane1,plane2))) pcount++; + if((b13 = parallel(plane1,plane3))) pcount++; + if((b23 = parallel(plane2,plane3))) pcount++; if(pcount == 3){ return (( (plane1 == plane2) || (plane1 == plane2.opposite())) && ( (plane1 == plane3) || (plane1 == plane3.opposite()))); From 17b254639059bd247700d7c8c7e9fce3ff72dc42 Mon Sep 17 00:00:00 2001 From: Laurent Rineau Date: Wed, 7 Apr 2021 14:25:30 +0200 Subject: [PATCH 25/29] Use Same_uncertainty_nt --- Algebraic_foundations/include/CGAL/number_utils.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h index 298f2708e23..f54670de191 100644 --- a/Algebraic_foundations/include/CGAL/number_utils.h +++ b/Algebraic_foundations/include/CGAL/number_utils.h @@ -325,7 +325,7 @@ NT approximate_sqrt(const NT& nt) } template -Comparison_result +typename Same_uncertainty_nt::type compare_quotients(const NT& xnum, const NT& xden, const NT& ynum, const NT& yden) { From 23a0cf6321629059fa62139f0623984bfa6b6f5e Mon Sep 17 00:00:00 2001 From: Laurent Rineau Date: Wed, 7 Apr 2021 14:42:58 +0200 Subject: [PATCH 26/29] Add a #include --- Algebraic_foundations/include/CGAL/number_utils.h | 1 + 1 file changed, 1 insertion(+) diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h index f54670de191..3bf8e906fc0 100644 --- a/Algebraic_foundations/include/CGAL/number_utils.h +++ b/Algebraic_foundations/include/CGAL/number_utils.h @@ -20,6 +20,7 @@ #include #include #include +#include namespace CGAL { CGAL_NTS_BEGIN_NAMESPACE From 9473da27f8b8d8be7fb10cca627c9847d7eb38da Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Thu, 22 Apr 2021 09:23:48 +0100 Subject: [PATCH 27/29] Address warning: unused parameter 'k' [-Wunused-parameter] --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 7371b641b37..59be9bf3d31 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -968,7 +968,7 @@ template bool do_intersect(const typename K::Plane_3 &plane, const typename K::Ray_3 &ray, - const K& k) + const K& ) { typename K::Oriented_side_3 oriented_side_3; From 2849b3b785710504ee1dc4865fa45b1e3b55b126 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Fri, 23 Apr 2021 11:47:24 +0100 Subject: [PATCH 28/29] compare() -> CGAL::compare() so that it also works with Leda --- Algebraic_foundations/include/CGAL/number_utils.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h index 3bf8e906fc0..03e2e757477 100644 --- a/Algebraic_foundations/include/CGAL/number_utils.h +++ b/Algebraic_foundations/include/CGAL/number_utils.h @@ -346,7 +346,7 @@ compare_quotients(const NT& xnum, const NT& xden, int msign = sign(xden) * sign(yden); NT leftop = NT(xnum * yden * msign); NT rightop = NT(ynum * xden * msign); - return compare(leftop, rightop); + return CGAL::compare(leftop, rightop); } else { From 8ede8fc7aea7a9afa2707143020453674a8e0ba5 Mon Sep 17 00:00:00 2001 From: Andreas Fabri Date: Tue, 27 Apr 2021 14:16:55 +0100 Subject: [PATCH 29/29] Remove unused parameter --- .../CGAL/Intersections_3/internal/intersection_3_1_impl.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h index 59be9bf3d31..cfc17829443 100644 --- a/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h +++ b/Intersections_3/include/CGAL/Intersections_3/internal/intersection_3_1_impl.h @@ -1677,7 +1677,7 @@ do_intersect(const Plane_3& plane1, const Plane_3& plane2, const R&) template inline bool do_intersect(const Plane_3 &plane1, const Plane_3 &plane2, - const Plane_3 &plane3, const R& r) + const Plane_3 &plane3, const R&) { typedef typename R::RT RT;