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// Copyright (c) 2021 // GeometryFactory (France), // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Kernel_23/include/CGAL/rank.h $ // $Id: include/CGAL/rank.h b26b07a1242 $ // 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