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408 lines
11 KiB
C++
408 lines
11 KiB
C++
// Created on: 1992-03-13
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// Created by: Christophe MARION
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// Copyright (c) 1992-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef No_Exception
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// #define No_Exception
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#endif
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#include <gp_Ax3.hxx>
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#include <gp_Lin.hxx>
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#include <gp_Pnt.hxx>
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#include <gp_Pnt2d.hxx>
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#include <gp_Trsf.hxx>
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#include <gp_Vec.hxx>
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#include <gp_Vec2d.hxx>
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#include <HLRAlgo_Projector.hxx>
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#include <Precision.hxx>
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// formula for derivating a perspective, from Mathematica
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// X'[t] X[t] Z'[t]
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// D1 = -------- + -------------
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// Z[t] Z[t] 2
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// 1 - ---- f (1 - ----)
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// f f
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//=======================================================================
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//function : HLRAlgo_Projector
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//purpose :
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//=======================================================================
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HLRAlgo_Projector::HLRAlgo_Projector () :
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myPersp(Standard_False),myFocus(0)
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{
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Scaled();
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}
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//=======================================================================
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//function : HLRAlgo_Projector
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//purpose :
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//=======================================================================
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HLRAlgo_Projector::HLRAlgo_Projector (const gp_Ax2& CS) :
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myPersp(Standard_False), myFocus(0)
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{
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myScaledTrsf.SetTransformation(CS);
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Scaled();
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SetDirection();
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}
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//=======================================================================
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//function : HLRAlgo_Projector
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//purpose :
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//=======================================================================
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HLRAlgo_Projector::HLRAlgo_Projector (const gp_Ax2& CS,
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const Standard_Real Focus) :
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myPersp(Standard_True), myFocus(Focus)
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{
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myScaledTrsf.SetTransformation(CS);
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Scaled();
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SetDirection();
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}
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//=======================================================================
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//function : HLRAlgo_Projector
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//purpose :
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//=======================================================================
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HLRAlgo_Projector::HLRAlgo_Projector (const gp_Trsf& T,
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const Standard_Boolean Persp,
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const Standard_Real Focus) :
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myPersp(Persp),
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myFocus(Focus),
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myScaledTrsf(T)
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{
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Scaled();
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SetDirection();
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}
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//=======================================================================
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//function : HLRAlgo_Projector
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//purpose :
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//=======================================================================
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HLRAlgo_Projector::HLRAlgo_Projector (const gp_Trsf& T,
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const Standard_Boolean Persp,
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const Standard_Real Focus,
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const gp_Vec2d& v1,
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const gp_Vec2d& v2,
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const gp_Vec2d& v3) :
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myPersp(Persp),
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myFocus(Focus),
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myScaledTrsf(T),
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myD1(v1),
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myD2(v2),
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myD3(v3)
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{
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Scaled();
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}
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//=======================================================================
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//function : Set
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//purpose :
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//=======================================================================
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void HLRAlgo_Projector::Set (const gp_Trsf& T,
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const Standard_Boolean Persp,
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const Standard_Real Focus)
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{
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myPersp = Persp;
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myFocus = Focus;
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myScaledTrsf = T;
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Scaled();
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SetDirection();
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}
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//=======================================================================
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//function : Scaled
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//purpose :
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//=======================================================================
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#include <gp_Mat.hxx>
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static Standard_Integer TrsfType(const gp_Trsf& Trsf) {
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const gp_Mat& Mat = Trsf.VectorialPart();
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if( (Abs(Mat.Value(1,1)-1.0) < 1e-15)
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&& (Abs(Mat.Value(2,2)-1.0) < 1e-15)
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&& (Abs(Mat.Value(3,3)-1.0) < 1e-15)) {
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return(1); //-- top
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}
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else if( (Abs(Mat.Value(1,1)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(1,2)+0.5) < 1e-15)
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&& (Abs(Mat.Value(1,3)-0.5) < 1e-15)
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&& (Abs(Mat.Value(2,1)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(2,2)-0.5) < 1e-15)
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&& (Abs(Mat.Value(2,3)+0.5) < 1e-15)
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&& (Abs(Mat.Value(3,1)) < 1e-15)
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&& (Abs(Mat.Value(3,2)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(3,3)-0.7071067811865476) < 1e-15)) {
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return(0); //--
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}
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else if( (Abs(Mat.Value(1,1)-1.0) < 1e-15)
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&& (Abs(Mat.Value(2,3)-1.0) < 1e-15)
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&& (Abs(Mat.Value(3,2)+1.0) < 1e-15)) {
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return(2); //-- front
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}
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else if( (Abs(Mat.Value(1,1)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(1,2)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(1,3)) < 1e-15)
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&& (Abs(Mat.Value(2,1)+0.5) < 1e-15)
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&& (Abs(Mat.Value(2,2)-0.5) < 1e-15)
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&& (Abs(Mat.Value(2,3)-0.7071067811865476) < 1e-15)
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&& (Abs(Mat.Value(3,1)-0.5) < 1e-15)
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&& (Abs(Mat.Value(3,2)+0.5) < 1e-15)
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&& (Abs(Mat.Value(3,3)-0.7071067811865476) < 1e-15)) {
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return(3); //-- axo
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}
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return(-1);
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}
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void HLRAlgo_Projector::Scaled (const Standard_Boolean On)
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{
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myType=-1;
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myTrsf = myScaledTrsf;
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if (!On) {
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myTrsf.SetScaleFactor(1.);
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if (!myPersp) {
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myTrsf.SetTranslationPart(gp_Vec(0.,0.,0.));
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myType=TrsfType(myTrsf);
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}
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}
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myInvTrsf = myTrsf;
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myInvTrsf.Invert();
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}
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//=======================================================================
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//function : Project
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//purpose :
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//=======================================================================
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void HLRAlgo_Projector::Project (const gp_Pnt& P, gp_Pnt2d& Pout) const
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{
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if(myType!=-1) {
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Standard_Real X,Y;
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switch (myType) {
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case 0: { //-- axono standard
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Standard_Real x07 = P.X()*0.7071067811865475;
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Standard_Real y05 = P.Y()*0.5;
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Standard_Real z05 = P.Z()*0.5;
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X=x07-y05+z05;
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Y=x07+y05-z05;
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//-- Z=0.7071067811865475*(P.Y()+P.Z());
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break;
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}
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case 1: { //-- top
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X=P.X(); Y=P.Y(); //-- Z=P.Z();
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Pout.SetCoord(X,Y);
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break;
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}
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case 2: {
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X=P.X(); Y=P.Z(); //-- Z=-P.Y();
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Pout.SetCoord(X,Y);
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break;
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}
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case 3: {
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Standard_Real xmy05 = (P.X()-P.Y())*0.5;
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Standard_Real z07 = P.Z()*0.7071067811865476;
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X=0.7071067811865476*(P.X()+P.Y());
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Y=-xmy05+z07;
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Pout.SetCoord(X,Y);
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//-- Z= xmy05+z07;
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break;
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}
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default: {
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gp_Pnt P2 = P;
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Transform(P2);
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if (myPersp) {
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Standard_Real R = 1.-P2.Z()/myFocus;
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Pout.SetCoord(P2.X()/R,P2.Y()/R);
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}
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else
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Pout.SetCoord(P2.X(),P2.Y());
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break;
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}
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}
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}
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else {
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gp_Pnt P2 = P;
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Transform(P2);
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if (myPersp) {
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Standard_Real R = 1.-P2.Z()/myFocus;
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Pout.SetCoord(P2.X()/R,P2.Y()/R);
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}
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else
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Pout.SetCoord(P2.X(),P2.Y());
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}
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}
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//=======================================================================
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//function : Project
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//purpose :
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//=======================================================================
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/* ====== TYPE 0 (??)
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(0.7071067811865476, -0.5 , 0.4999999999999999)
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(0.7071067811865475, 0.5000000000000001, -0.5 )
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(0.0, 0.7071067811865475, 0.7071067811865476)
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====== TYPE 1 (top)
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(1.0, 0.0, 0.0)
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(0.0, 1.0, 0.0)
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(0.0, 0.0, 1.0)
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======= TYPE 2 (front)
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(1.0, 0.0 , 0.0)
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(0.0, 1.110223024625157e-16 , 1.0)
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(0.0, -1.0 , 1.110223024625157e-16)
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======= TYPE 3
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( 0.7071067811865476, 0.7071067811865475, 0.0)
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(-0.5 , 0.5000000000000001, 0.7071067811865475)
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( 0.4999999999999999, -0.5 , 0.7071067811865476)
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*/
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void HLRAlgo_Projector::Project (const gp_Pnt& P,
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Standard_Real& X,
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Standard_Real& Y,
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Standard_Real& Z) const
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{
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if(myType!=-1) {
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switch (myType) {
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case 0: { //-- axono standard
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Standard_Real x07 = P.X()*0.7071067811865475;
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Standard_Real y05 = P.Y()*0.5;
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Standard_Real z05 = P.Z()*0.5;
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X=x07-y05+z05;
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Y=x07+y05-z05;
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Z=0.7071067811865475*(P.Y()+P.Z());
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break;
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}
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case 1: { //-- top
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X=P.X(); Y=P.Y(); Z=P.Z();
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break;
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}
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case 2: {
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X=P.X(); Y=P.Z(); Z=-P.Y();
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break;
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}
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case 3: {
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Standard_Real xmy05 = (P.X()-P.Y())*0.5;
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Standard_Real z07 = P.Z()*0.7071067811865476;
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X=0.7071067811865476*(P.X()+P.Y());
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Y=-xmy05+z07;
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Z= xmy05+z07;
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break;
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}
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default: {
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gp_Pnt P2 = P;
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Transform(P2);
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P2.Coord(X,Y,Z);
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break;
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}
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}
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}
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else {
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gp_Pnt P2 = P;
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Transform(P2);
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P2.Coord(X,Y,Z);
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if (myPersp) {
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Standard_Real R = 1 - Z / myFocus;
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X = X / R;
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Y = Y / R;
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}
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}
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}
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//=======================================================================
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//function : Project
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//purpose :
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//=======================================================================
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void HLRAlgo_Projector::Project (const gp_Pnt& P,
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const gp_Vec& D1,
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gp_Pnt2d& Pout,
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gp_Vec2d& D1out) const
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{
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gp_Pnt PP = P;
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PP.Transform(myTrsf);
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gp_Vec DD1 = D1;
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DD1.Transform(myTrsf);
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if (myPersp) {
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Standard_Real R = 1. - PP.Z() / myFocus;
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Pout .SetCoord(PP .X()/R , PP.Y()/R);
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D1out.SetCoord(DD1.X()/R + PP.X()*DD1.Z()/(myFocus * R*R),
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DD1.Y()/R + PP.Y()*DD1.Z()/(myFocus * R*R));
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}
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else {
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Pout .SetCoord(PP .X(),PP .Y());
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D1out.SetCoord(DD1.X(),DD1.Y());
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}
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}
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//=======================================================================
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//function : Shoot
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//purpose :
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//=======================================================================
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gp_Lin HLRAlgo_Projector::Shoot (const Standard_Real X,
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const Standard_Real Y) const
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{
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gp_Lin L;
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if (myPersp) {
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L = gp_Lin(gp_Pnt(0,0, myFocus),
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gp_Dir(X,Y,-myFocus));
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}
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else {
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L = gp_Lin(gp_Pnt(X,Y,0),
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gp_Dir(0,0,-1));
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}
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L.Transform(myInvTrsf);
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return L;
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}
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//=======================================================================
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//function : SetDirection
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//purpose :
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//=======================================================================
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void HLRAlgo_Projector::SetDirection ()
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{
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gp_Vec V1(1,0,0);
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V1.Transform(myTrsf);
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if ((Abs(V1.X()) + Abs(V1.Y())) < Precision::Angular()) V1.SetCoord(1,1,0);
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gp_Vec2d D1(V1.X(),V1.Y());
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myD1.SetCoord(-D1.Y(),D1.X());
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gp_Vec V2(0,1,0);
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V2.Transform(myTrsf);
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if ((Abs(V2.X()) + Abs(V2.Y())) < Precision::Angular()) V2.SetCoord(1,1,0);
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gp_Vec2d D2(V2.X(),V2.Y());
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myD2.SetCoord(-D2.Y(),D2.X());
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gp_Vec V3(0,0,1);
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V3.Transform(myTrsf);
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if ((Abs(V3.X()) + Abs(V3.Y())) < Precision::Angular()) V3.SetCoord(1,1,0);
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gp_Vec2d D3(V3.X(),V3.Y());
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myD3.SetCoord(-D3.Y(),D3.X());
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}
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//=======================================================================
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//function : Transformation
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//purpose :
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//=======================================================================
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const gp_Trsf & HLRAlgo_Projector::Transformation() const
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{ return myTrsf; }
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