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Warning, file /include/opencascade/gp_Ax1.hxx was not indexed or was modified since last indexation (in which case cross-reference links may be missing, inaccurate or erroneous).
0001 // Copyright (c) 1991-1999 Matra Datavision 0002 // Copyright (c) 1999-2014 OPEN CASCADE SAS 0003 // 0004 // This file is part of Open CASCADE Technology software library. 0005 // 0006 // This library is free software; you can redistribute it and/or modify it under 0007 // the terms of the GNU Lesser General Public License version 2.1 as published 0008 // by the Free Software Foundation, with special exception defined in the file 0009 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT 0010 // distribution for complete text of the license and disclaimer of any warranty. 0011 // 0012 // Alternatively, this file may be used under the terms of Open CASCADE 0013 // commercial license or contractual agreement. 0014 0015 #ifndef _gp_Ax1_HeaderFile 0016 #define _gp_Ax1_HeaderFile 0017 0018 #include <gp_Pnt.hxx> 0019 #include <gp_Dir.hxx> 0020 0021 class gp_Ax2; 0022 class gp_Trsf; 0023 class gp_Vec; 0024 0025 //! Describes an axis in 3D space. 0026 //! An axis is defined by: 0027 //! - its origin (also referred to as its "Location point"), and 0028 //! - its unit vector (referred to as its "Direction" or "main Direction"). 0029 //! An axis is used: 0030 //! - to describe 3D geometric entities (for example, the 0031 //! axis of a revolution entity). It serves the same purpose 0032 //! as the STEP function "axis placement one axis", or 0033 //! - to define geometric transformations (axis of 0034 //! symmetry, axis of rotation, and so on). 0035 //! For example, this entity can be used to locate a geometric entity 0036 //! or to define a symmetry axis. 0037 class gp_Ax1 0038 { 0039 public: 0040 0041 DEFINE_STANDARD_ALLOC 0042 0043 //! Creates an axis object representing Z axis of 0044 //! the reference coordinate system. 0045 gp_Ax1() 0046 : loc(0.,0.,0.), vdir(0.,0.,1.) 0047 {} 0048 0049 //! P is the location point and V is the direction of <me>. 0050 gp_Ax1 (const gp_Pnt& theP, const gp_Dir& theV) 0051 : loc(theP), vdir (theV) 0052 {} 0053 0054 //! Assigns V as the "Direction" of this axis. 0055 void SetDirection (const gp_Dir& theV) { vdir = theV; } 0056 0057 //! Assigns P as the origin of this axis. 0058 void SetLocation (const gp_Pnt& theP) { loc = theP; } 0059 0060 //! Returns the direction of <me>. 0061 const gp_Dir& Direction() const { return vdir; } 0062 0063 //! Returns the location point of <me>. 0064 const gp_Pnt& Location() const { return loc; } 0065 0066 //! Returns True if : 0067 //! . the angle between <me> and <Other> is lower or equal 0068 //! to <AngularTolerance> and 0069 //! . the distance between <me>.Location() and <Other> is lower 0070 //! or equal to <LinearTolerance> and 0071 //! . the distance between <Other>.Location() and <me> is lower 0072 //! or equal to LinearTolerance. 0073 Standard_EXPORT Standard_Boolean IsCoaxial (const gp_Ax1& Other, const Standard_Real AngularTolerance, const Standard_Real LinearTolerance) const; 0074 0075 //! Returns True if the direction of this and another axis are normal to each other. 0076 //! That is, if the angle between the two axes is equal to Pi/2. 0077 //! Note: the tolerance criterion is given by theAngularTolerance. 0078 Standard_Boolean IsNormal (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const 0079 { 0080 return vdir.IsNormal (theOther.vdir, theAngularTolerance); 0081 } 0082 0083 //! Returns True if the direction of this and another axis are parallel with opposite orientation. 0084 //! That is, if the angle between the two axes is equal to Pi. 0085 //! Note: the tolerance criterion is given by theAngularTolerance. 0086 Standard_Boolean IsOpposite (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const 0087 { 0088 return vdir.IsOpposite (theOther.vdir, theAngularTolerance); 0089 } 0090 0091 //! Returns True if the direction of this and another axis are parallel with same orientation or opposite orientation. 0092 //! That is, if the angle between the two axes is equal to 0 or Pi. 0093 //! Note: the tolerance criterion is given by theAngularTolerance. 0094 Standard_Boolean IsParallel (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const 0095 { 0096 return vdir.IsParallel(theOther.vdir, theAngularTolerance); 0097 } 0098 0099 //! Computes the angular value, in radians, between this.Direction() and theOther.Direction(). 0100 //! Returns the angle between 0 and 2*PI radians. 0101 Standard_Real Angle (const gp_Ax1& theOther) const { return vdir.Angle (theOther.vdir); } 0102 0103 //! Reverses the unit vector of this axis and assigns the result to this axis. 0104 void Reverse() { vdir.Reverse(); } 0105 0106 //! Reverses the unit vector of this axis and creates a new one. 0107 Standard_NODISCARD gp_Ax1 Reversed() const 0108 { 0109 gp_Dir D = vdir.Reversed(); 0110 return gp_Ax1 (loc, D); 0111 } 0112 0113 //! Performs the symmetrical transformation of an axis 0114 //! placement with respect to the point P which is the 0115 //! center of the symmetry and assigns the result to this axis. 0116 Standard_EXPORT void Mirror (const gp_Pnt& P); 0117 0118 //! Performs the symmetrical transformation of an axis 0119 //! placement with respect to the point P which is the 0120 //! center of the symmetry and creates a new axis. 0121 Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Pnt& P) const; 0122 0123 //! Performs the symmetrical transformation of an axis 0124 //! placement with respect to an axis placement which 0125 //! is the axis of the symmetry and assigns the result to this axis. 0126 Standard_EXPORT void Mirror (const gp_Ax1& A1); 0127 0128 //! Performs the symmetrical transformation of an axis 0129 //! placement with respect to an axis placement which 0130 //! is the axis of the symmetry and creates a new axis. 0131 Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Ax1& A1) const; 0132 0133 //! Performs the symmetrical transformation of an axis 0134 //! placement with respect to a plane. The axis placement 0135 //! <A2> locates the plane of the symmetry : 0136 //! (Location, XDirection, YDirection) and assigns the result to this axis. 0137 Standard_EXPORT void Mirror (const gp_Ax2& A2); 0138 0139 //! Performs the symmetrical transformation of an axis 0140 //! placement with respect to a plane. The axis placement 0141 //! <A2> locates the plane of the symmetry : 0142 //! (Location, XDirection, YDirection) and creates a new axis. 0143 Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Ax2& A2) const; 0144 0145 //! Rotates this axis at an angle theAngRad (in radians) about the axis theA1 0146 //! and assigns the result to this axis. 0147 void Rotate (const gp_Ax1& theA1, const Standard_Real theAngRad) 0148 { 0149 loc .Rotate (theA1, theAngRad); 0150 vdir.Rotate (theA1, theAngRad); 0151 } 0152 0153 //! Rotates this axis at an angle theAngRad (in radians) about the axis theA1 0154 //! and creates a new one. 0155 Standard_NODISCARD gp_Ax1 Rotated (const gp_Ax1& theA1, const Standard_Real theAngRad) const 0156 { 0157 gp_Ax1 A = *this; 0158 A.Rotate (theA1, theAngRad); 0159 return A; 0160 } 0161 0162 //! Applies a scaling transformation to this axis with: 0163 //! - scale factor theS, and 0164 //! - center theP and assigns the result to this axis. 0165 void Scale (const gp_Pnt& theP, const Standard_Real theS) 0166 { 0167 loc.Scale (theP, theS); 0168 if (theS < 0.0) { vdir.Reverse(); } 0169 } 0170 0171 //! Applies a scaling transformation to this axis with: 0172 //! - scale factor theS, and 0173 //! - center theP and creates a new axis. 0174 Standard_NODISCARD gp_Ax1 Scaled (const gp_Pnt& theP, const Standard_Real theS) const 0175 { 0176 gp_Ax1 A1 = *this; 0177 A1.Scale (theP, theS); 0178 return A1; 0179 } 0180 0181 //! Applies the transformation theT to this axis and assigns the result to this axis. 0182 void Transform (const gp_Trsf& theT) 0183 { 0184 loc .Transform (theT); 0185 vdir.Transform (theT); 0186 } 0187 0188 //! Applies the transformation theT to this axis and creates a new one. 0189 //! 0190 //! Translates an axis plaxement in the direction of the vector <V>. 0191 //! The magnitude of the translation is the vector's magnitude. 0192 Standard_NODISCARD gp_Ax1 Transformed (const gp_Trsf& theT) const 0193 { 0194 gp_Ax1 A1 = *this; 0195 A1.Transform (theT); 0196 return A1; 0197 } 0198 0199 //! Translates this axis by the vector theV, and assigns the result to this axis. 0200 void Translate (const gp_Vec& theV) { loc.Translate (theV); } 0201 0202 //! Translates this axis by the vector theV, 0203 //! and creates a new one. 0204 Standard_NODISCARD gp_Ax1 Translated (const gp_Vec& theV) const 0205 { 0206 gp_Ax1 A1 = *this; 0207 (A1.loc).Translate (theV); 0208 return A1; 0209 } 0210 0211 //! Translates this axis by: 0212 //! the vector (theP1, theP2) defined from point theP1 to point theP2. 0213 //! and assigns the result to this axis. 0214 void Translate (const gp_Pnt& theP1, const gp_Pnt& theP2) { loc.Translate (theP1, theP2); } 0215 0216 //! Translates this axis by: 0217 //! the vector (theP1, theP2) defined from point theP1 to point theP2. 0218 //! and creates a new one. 0219 Standard_NODISCARD gp_Ax1 Translated (const gp_Pnt& theP1, const gp_Pnt& theP2) const 0220 { 0221 gp_Ax1 A1 = *this; 0222 (A1.loc).Translate (theP1, theP2); 0223 return A1; 0224 } 0225 0226 //! Dumps the content of me into the stream 0227 Standard_EXPORT void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const; 0228 0229 //! Inits the content of me from the stream 0230 Standard_EXPORT Standard_Boolean InitFromJson (const Standard_SStream& theSStream, Standard_Integer& theStreamPos); 0231 0232 private: 0233 0234 gp_Pnt loc; 0235 gp_Dir vdir; 0236 0237 }; 0238 0239 #endif // _gp_Ax1_HeaderFile
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