0033661: Data Exchange, Step Import - Tessellated GDTs are not imported
[occt.git] / src / gp / gp_Dir2d.cxx
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b311480e 1// Copyright (c) 1995-1999 Matra Datavision
973c2be1 2// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e 3//
973c2be1 4// This file is part of Open CASCADE Technology software library.
b311480e 5//
d5f74e42 6// This library is free software; you can redistribute it and/or modify it under
7// the terms of the GNU Lesser General Public License version 2.1 as published
973c2be1 8// by the Free Software Foundation, with special exception defined in the file
9// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
10// distribution for complete text of the license and disclaimer of any warranty.
b311480e 11//
973c2be1 12// Alternatively, this file may be used under the terms of Open CASCADE
13// commercial license or contractual agreement.
b311480e 14
7fd59977 15// JCV 08/01/90 Modifs suite a l'introduction des classes XY et Mat2d dans gp
16
42cf5bc1 17#include <gp_Dir2d.hxx>
d5477f8c 18
19#include <gp_Ax2d.hxx>
42cf5bc1 20#include <gp_Trsf2d.hxx>
42cf5bc1 21#include <gp_XY.hxx>
42cf5bc1 22#include <Standard_DomainError.hxx>
bc73b006 23#include <Standard_Dump.hxx>
42cf5bc1 24#include <Standard_OutOfRange.hxx>
7fd59977 25
26Standard_Real gp_Dir2d::Angle (const gp_Dir2d& Other) const
27{
28 // Commentaires :
29 // Au dessus de 45 degres l'arccos donne la meilleur precision pour le
30 // calcul de l'angle. Sinon il vaut mieux utiliser l'arcsin.
31 // Les erreurs commises sont loin d'etre negligeables lorsque l'on est
32 // proche de zero ou de 90 degres.
33 // En 2D les valeurs angulaires sont comprises entre -PI et PI
34 Standard_Real Cosinus = coord.Dot (Other.coord);
35 Standard_Real Sinus = coord.Crossed (Other.coord);
36 if (Cosinus > -0.70710678118655 && Cosinus < 0.70710678118655) {
37 if (Sinus > 0.0) return acos (Cosinus);
38 else return - acos (Cosinus);
39 }
40 else {
41 if (Cosinus > 0.0) return asin (Sinus);
42 else {
c6541a0c
D
43 if (Sinus > 0.0) return M_PI - asin (Sinus);
44 else return -M_PI - asin (Sinus);
7fd59977 45 }
46 }
47}
48
49void gp_Dir2d::Mirror (const gp_Ax2d& A2)
50{
51 const gp_XY& XY = A2.Direction().XY();
52 Standard_Real A = XY.X();
53 Standard_Real B = XY.Y();
54 Standard_Real X = coord.X();
55 Standard_Real Y = coord.Y();
56 Standard_Real M1 = 2.0 * A * B;
57 Standard_Real XX = ((2.0 * A * A) - 1.0) * X + M1 * Y;
58 Standard_Real YY = M1 * X + ((2.0 * B * B) - 1.0) * Y;
59 coord.SetCoord(XX,YY);
60}
61
62void gp_Dir2d::Transform (const gp_Trsf2d& T)
63{
64 if (T.Form() == gp_Identity || T.Form() == gp_Translation) { }
65 else if (T.Form() == gp_PntMirror) { coord.Reverse(); }
66 else if (T.Form() == gp_Scale) {
67 if (T.ScaleFactor() < 0.0) { coord.Reverse(); }
68 }
69 else {
70 coord.Multiply (T.HVectorialPart());
71 Standard_Real D = coord.Modulus();
72 coord.Divide(D);
73 if (T.ScaleFactor() < 0.0) { coord.Reverse(); }
74 }
75}
76
77void gp_Dir2d::Mirror (const gp_Dir2d& V)
78{
79 const gp_XY& XY = V.coord;
80 Standard_Real A = XY.X();
81 Standard_Real B = XY.Y();
82 Standard_Real X = coord.X();
83 Standard_Real Y = coord.Y();
84 Standard_Real M1 = 2.0 * A * B;
85 Standard_Real XX = ((2.0 * A * A) - 1.0) * X + M1 * Y;
86 Standard_Real YY = M1 * X + ((2.0 * B * B) - 1.0) * Y;
87 coord.SetCoord(XX,YY);
88}
89
90gp_Dir2d gp_Dir2d::Mirrored (const gp_Dir2d& V) const
91{
92 gp_Dir2d Vres = *this;
93 Vres.Mirror (V);
94 return Vres;
95}
96
97gp_Dir2d gp_Dir2d::Mirrored (const gp_Ax2d& A) const
98{
99 gp_Dir2d V = *this;
100 V.Mirror (A);
101 return V;
102}
103
bc73b006 104void gp_Dir2d::DumpJson (Standard_OStream& theOStream, Standard_Integer) const
105{
106 OCCT_DUMP_VECTOR_CLASS (theOStream, "gp_Dir2d", 2, coord.X(), coord.Y())
107}