1698 lines
57 KiB
C++
1698 lines
57 KiB
C++
/***************************************************************************
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* Copyright (c) 2015 WandererFan <wandererfan@gmail.com> *
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* *
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* This file is part of the FreeCAD CAx development system. *
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* *
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* This library is free software; you can redistribute it and/or *
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* modify it under the terms of the GNU Library General Public *
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* License as published by the Free Software Foundation; either *
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* version 2 of the License, or (at your option) any later version. *
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* *
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* This library is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU Library General Public License for more details. *
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* *
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* You should have received a copy of the GNU Library General Public *
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* License along with this library; see the file COPYING.LIB. If not, *
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* write to the Free Software Foundation, Inc., 59 Temple Place, *
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* Suite 330, Boston, MA 02111-1307, USA *
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* *
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***************************************************************************/
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#include "PreCompiled.h"
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#ifndef _PreComp_
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# include <cmath>
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# include <cstdlib>
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# include <cstring>
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# include <sstream>
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# include <boost_regex.hpp>
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# include <QChar>
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# include <QPointF>
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# include <QString>
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# include <BRep_Builder.hxx>
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# include <BRep_Tool.hxx>
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# include <BRepAdaptor_Curve.hxx>
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# include <BRepAdaptor_Surface.hxx>
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# include <BRepBndLib.hxx>
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# include <BRepBuilderAPI_MakeEdge.hxx>
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# include <BRepExtrema_DistShapeShape.hxx>
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# include <BRepLProp_CLProps.hxx>
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# include <BRepLProp_CurveTool.hxx>
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# include <BRepLProp_SLProps.hxx>
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# include <BRepTools.hxx>
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# include <GCPnts_AbscissaPoint.hxx>
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# include <GeomAPI_ExtremaCurveCurve.hxx>
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# include <gp_Ax3.hxx>
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# include <gp_Dir.hxx>
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# include <gp_Elips.hxx>
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# include <gp_Pnt.hxx>
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# include <gp_Vec.hxx>
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# include <Precision.hxx>
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# include <TopExp.hxx>
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# include <TopExp_Explorer.hxx>
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# include <TopTools_IndexedMapOfShape.hxx>
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#endif
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#include <App/Application.h>
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#include <Base/Console.h>
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#include <Base/FileInfo.h>
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#include <Base/Parameter.h>
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#include <Base/Stream.h>
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#include <Base/UnitsApi.h>
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#include <Base/Vector3D.h>
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#include "DrawUtil.h"
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#include "GeometryObject.h"
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#include "LineGroup.h"
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using namespace TechDraw;
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/*static*/ int DrawUtil::getIndexFromName(std::string geomName)
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{
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// Base::Console().Message("DU::getIndexFromName(%s)\n", geomName.c_str());
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boost::regex re("\\d+$");// one of more digits at end of string
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boost::match_results<std::string::const_iterator> what;
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boost::match_flag_type flags = boost::match_default;
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// char* endChar;
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std::string::const_iterator begin = geomName.begin();
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auto pos = geomName.rfind('.');
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if (pos != std::string::npos)
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begin += pos + 1;
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std::string::const_iterator end = geomName.end();
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std::stringstream ErrorMsg;
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if (geomName.empty()) {
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throw Base::ValueError("getIndexFromName - empty geometry name");
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}
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if (boost::regex_search(begin, end, what, re, flags)) {
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return int(std::stoi(what.str()));
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}
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else {
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ErrorMsg << "getIndexFromName: malformed geometry name - " << geomName;
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throw Base::ValueError(ErrorMsg.str());
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}
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}
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std::string DrawUtil::getGeomTypeFromName(std::string geomName)
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{
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boost::regex re("^[a-zA-Z]*");//one or more letters at start of string
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boost::match_results<std::string::const_iterator> what;
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boost::match_flag_type flags = boost::match_default;
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std::string::const_iterator begin = geomName.begin();
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auto pos = geomName.rfind('.');
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if (pos != std::string::npos)
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begin += pos + 1;
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std::string::const_iterator end = geomName.end();
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std::stringstream ErrorMsg;
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if (geomName.empty()) {
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throw Base::ValueError("getGeomTypeFromName - empty geometry name");
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}
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if (boost::regex_search(begin, end, what, re, flags)) {
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return what.str();//TODO: use std::stoi() in c++11
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}
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else {
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ErrorMsg << "In getGeomTypeFromName: malformed geometry name - " << geomName;
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throw Base::ValueError(ErrorMsg.str());
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}
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}
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std::string DrawUtil::makeGeomName(std::string geomType, int index)
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{
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std::stringstream newName;
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newName << geomType << index;
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return newName.str();
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}
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//! true if v1 and v2 are the same geometric point within tolerance
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bool DrawUtil::isSamePoint(TopoDS_Vertex v1, TopoDS_Vertex v2, double tolerance)
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{
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gp_Pnt p1 = BRep_Tool::Pnt(v1);
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gp_Pnt p2 = BRep_Tool::Pnt(v2);
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if (p1.IsEqual(p2, tolerance)) {
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return true;
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}
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return false;
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}
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bool DrawUtil::isZeroEdge(TopoDS_Edge e, double tolerance)
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{
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TopoDS_Vertex vStart = TopExp::FirstVertex(e);
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TopoDS_Vertex vEnd = TopExp::LastVertex(e);
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if (!isSamePoint(vStart, vEnd, tolerance)) {
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return false;
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}
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//closed edge will have same V's but non-zero length
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BRepAdaptor_Curve adapt(e);
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double len = GCPnts_AbscissaPoint::Length(adapt, Precision::Confusion());
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if (len > tolerance) {
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return false;
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}
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return true;
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}
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double DrawUtil::simpleMinDist(TopoDS_Shape s1, TopoDS_Shape s2)
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{
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BRepExtrema_DistShapeShape extss(s1, s2);
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if (!extss.IsDone()) {
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Base::Console().Message("DU::simpleMinDist - BRepExtrema_DistShapeShape failed");
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return -1;
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}
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int count = extss.NbSolution();
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if (count != 0) {
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return extss.Value();
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}
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else {
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return -1;
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}
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}
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//! assumes 2d on XY
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//! quick angle for straight edges
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double DrawUtil::angleWithX(TopoDS_Edge e, bool reverse)
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{
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gp_Pnt gstart = BRep_Tool::Pnt(TopExp::FirstVertex(e));
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Base::Vector3d start(gstart.X(), gstart.Y(), gstart.Z());
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gp_Pnt gend = BRep_Tool::Pnt(TopExp::LastVertex(e));
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Base::Vector3d end(gend.X(), gend.Y(), gend.Z());
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Base::Vector3d u;
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if (reverse) {
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u = start - end;
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}
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else {
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u = end - start;
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}
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double result = atan2(u.y, u.x);
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if (result < 0) {
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result += 2.0 * M_PI;
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}
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return result;
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}
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//! find angle of edge with x-Axis at First/LastVertex
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double DrawUtil::angleWithX(TopoDS_Edge e, TopoDS_Vertex v, double tolerance)
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{
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double param = 0;
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BRepAdaptor_Curve adapt(e);
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if (isFirstVert(e, v, tolerance)) {
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param = adapt.FirstParameter();
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}
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else if (isLastVert(e, v, tolerance)) {
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param = adapt.LastParameter();
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}
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else {
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//TARFU
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Base::Console().Message("Error: DU::angleWithX - v is neither first nor last \n");
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}
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gp_Pnt paramPoint;
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gp_Vec derivative;
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const Handle(Geom_Curve) c = adapt.Curve().Curve();
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c->D1(param, paramPoint, derivative);
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double angle = atan2(derivative.Y(), derivative.X());
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if (angle < 0) {//map from [-PI:PI] to [0:2PI]
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angle += 2.0 * M_PI;
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}
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return angle;
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}
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//! find angle of incidence at First/LastVertex
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double DrawUtil::incidenceAngleAtVertex(TopoDS_Edge e, TopoDS_Vertex v, double tolerance)
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{
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double incidenceAngle = 0;
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BRepAdaptor_Curve adapt(e);
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double paramRange = adapt.LastParameter() - adapt.FirstParameter();
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double paramOffset = paramRange / 100.0;
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double vertexParam;
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Base::Vector3d anglePoint = DrawUtil::vertex2Vector(v);
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Base::Vector3d offsetPoint, incidenceVec;
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int noTangents = 0;
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if (isFirstVert(e, v, tolerance)) {
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vertexParam = adapt.FirstParameter();
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BRepLProp_CLProps prop(adapt, vertexParam + paramOffset, noTangents,
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Precision::Confusion());
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const gp_Pnt& gOffsetPoint = prop.Value();
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offsetPoint = Base::Vector3d(gOffsetPoint.X(), gOffsetPoint.Y(), gOffsetPoint.Z());
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}
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else if (isLastVert(e, v, tolerance)) {
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vertexParam = adapt.LastParameter();
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BRepLProp_CLProps prop(adapt, vertexParam - paramOffset, noTangents,
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Precision::Confusion());
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const gp_Pnt& gOffsetPoint = prop.Value();
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offsetPoint = Base::Vector3d(gOffsetPoint.X(), gOffsetPoint.Y(), gOffsetPoint.Z());
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}
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else {
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//TARFU
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// Base::Console().Message("DU::incidenceAngle - v is neither first nor last \n");
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}
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incidenceVec = anglePoint - offsetPoint;
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incidenceAngle = atan2(incidenceVec.y, incidenceVec.x);
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//map to [0:2PI]
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if (incidenceAngle < 0.0) {
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incidenceAngle = M_2PI + incidenceAngle;
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}
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return incidenceAngle;
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}
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bool DrawUtil::isFirstVert(TopoDS_Edge e, TopoDS_Vertex v, double tolerance)
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{
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TopoDS_Vertex first = TopExp::FirstVertex(e);
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if (isSamePoint(first, v, tolerance)) {
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return true;
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}
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return false;
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}
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bool DrawUtil::isLastVert(TopoDS_Edge e, TopoDS_Vertex v, double tolerance)
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{
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TopoDS_Vertex last = TopExp::LastVertex(e);
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if (isSamePoint(last, v, tolerance)) {
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return true;
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}
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return false;
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}
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bool DrawUtil::fpCompare(const double& d1, const double& d2, double tolerance)
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{
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if (std::fabs(d1 - d2) < tolerance) {
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return true;
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}
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return false;
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}
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//brute force intersection points of line(point, dir) with box(xRange, yRange)
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std::pair<Base::Vector3d, Base::Vector3d>
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DrawUtil::boxIntersect2d(Base::Vector3d point, Base::Vector3d dirIn, double xRange, double yRange)
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{
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std::pair<Base::Vector3d, Base::Vector3d> result;
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Base::Vector3d p1, p2;
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Base::Vector3d dir = dirIn;
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dir.Normalize();
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// y = mx + b
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// m = (y1 - y0) / (x1 - x0)
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if (DrawUtil::fpCompare(dir.x, 0.0)) {//vertical case
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p1 = Base::Vector3d(point.x, point.y - (yRange / 2.0), 0.0);
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p2 = Base::Vector3d(point.x, point.y + (yRange / 2.0), 0.0);
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}
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else {
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double slope = dir.y / dir.x;
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double left = -xRange / 2.0;
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double right = xRange / 2.0;
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if (DrawUtil::fpCompare(slope, 0.0)) {//horizontal case
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p1 = Base::Vector3d(point.x - (xRange / 2.0), point.y);
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p2 = Base::Vector3d(point.x + (xRange / 2.0), point.y);
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}
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else {//normal case
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double top = yRange / 2.0;
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double bottom = -yRange / 2.0;
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double yLeft = point.y - slope * (point.x - left);
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double yRight = point.y - slope * (point.x - right);
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double xTop = point.x - ((point.y - top) / slope);
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double xBottom = point.x - ((point.y - bottom) / slope);
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if ((bottom < yLeft) && (top > yLeft)) {
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p1 = Base::Vector3d(left, yLeft);
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}
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else if (yLeft <= bottom) {
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p1 = Base::Vector3d(xBottom, bottom);
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}
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else if (yLeft >= top) {
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p1 = Base::Vector3d(xTop, top);
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}
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if ((bottom < yRight) && (top > yRight)) {
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p2 = Base::Vector3d(right, yRight);
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}
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else if (yRight <= bottom) {
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p2 = Base::Vector3d(xBottom, bottom);
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}
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else if (yRight >= top) {
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p2 = Base::Vector3d(xTop, top);
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}
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}
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}
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result.first = p1;
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result.second = p2;
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Base::Vector3d dirCheck = p2 - p1;
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dirCheck.Normalize();
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if (!dir.IsEqual(dirCheck, 0.00001)) {
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result.first = p2;
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result.second = p1;
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}
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return result;
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}
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//find the apparent intersection of 2 3d curves. We are only interested in curves that are lines, so we will have either 0 or 1
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//apparent intersection. The intersection is "apparent" because the curve's progenator is a trimmed curve (line segment)
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//NOTE: these curves do not have a location, so the intersection point does not respect the
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//placement of the edges which spawned the curves. Use the apparentIntersection(edge, edge) method instead.
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bool DrawUtil::apparentIntersection(const Handle(Geom_Curve) curve1,
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const Handle(Geom_Curve) curve2, Base::Vector3d& result)
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{
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GeomAPI_ExtremaCurveCurve intersector(curve1, curve2);
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if (intersector.NbExtrema() == 0 || intersector.LowerDistance() > EWTOLERANCE) {
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//no intersection
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return false;
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}
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//for our purposes, only one intersection point is required.
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gp_Pnt p1, p2;
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intersector.Points(1, p1, p2);
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result = toVector3d(p1);
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return true;
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}
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bool DrawUtil::apparentIntersection(TopoDS_Edge& edge0, TopoDS_Edge& edge1, gp_Pnt& intersect)
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{
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gp_Pnt gStart0 = BRep_Tool::Pnt(TopExp::FirstVertex(edge0));
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gp_Pnt gEnd0 = BRep_Tool::Pnt(TopExp::LastVertex(edge0));
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gp_Pnt gStart1 = BRep_Tool::Pnt(TopExp::FirstVertex(edge1));
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gp_Pnt gEnd1 = BRep_Tool::Pnt(TopExp::LastVertex(edge1));
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//intersection of 2 3d lines in point&direction form
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//https://math.stackexchange.com/questions/270767/find-intersection-of-two-3d-lines
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gp_Vec C(gStart0.XYZ());
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gp_Vec D(gStart1.XYZ());
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gp_Vec e(gEnd0.XYZ() - gStart0.XYZ());//direction of line0
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gp_Vec f(gEnd1.XYZ() - gStart1.XYZ());//direction of line1
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Base::Console().Message("DU::apparentInter - e: %s f: %s\n", formatVector(e).c_str(),
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formatVector(f).c_str());
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//check for cases the algorithm doesn't handle well
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gp_Vec C1(gEnd0.XYZ());
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gp_Vec D1(gEnd1.XYZ());
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if (C.IsEqual(D, EWTOLERANCE, EWTOLERANCE) || C.IsEqual(D1, EWTOLERANCE, EWTOLERANCE)) {
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intersect = gp_Pnt(C.XYZ());
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return true;
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}
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if (C1.IsEqual(D, EWTOLERANCE, EWTOLERANCE) || C1.IsEqual(D1, EWTOLERANCE, EWTOLERANCE)) {
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intersect = gp_Pnt(C1.XYZ());
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return true;
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}
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gp_Vec g(D - C);//between a point on each line
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Base::Console().Message("DU::apparentInter - C: %s D: %s g: %s\n", formatVector(C).c_str(),
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formatVector(D).c_str(), formatVector(g).c_str());
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gp_Vec fxg = f.Crossed(g);
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double h = fxg.Magnitude();
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gp_Vec fxe = f.Crossed(e);
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double k = fxe.Magnitude();
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Base::Console().Message("DU::apparentInter - h: %.3f k: %.3f\n", h, k);
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if (fpCompare(k, 0.0)) {
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//no intersection
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return false;
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}
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gp_Vec el = e * (h / k);
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double pm = 1.0;
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if (fpCompare(fxg.Dot(fxe), -1.0)) {
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//opposite directions
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pm = -1.0;
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}
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intersect = gp_Pnt(C.XYZ() + el.XYZ() * pm);
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return true;
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}
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//find the intersection of 2 lines (point0, dir0) and (point1, dir1)
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//existence of an intersection is not checked
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bool DrawUtil::intersect2Lines3d(Base::Vector3d point0, Base::Vector3d dir0, Base::Vector3d point1,
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Base::Vector3d dir1, Base::Vector3d& intersect)
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{
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Base::Vector3d g = point1 - point0;
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Base::Vector3d fxg = dir1.Cross(g);
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Base::Vector3d fxgn = fxg;
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fxgn.Normalize();
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Base::Vector3d fxe = dir1.Cross(dir0);
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Base::Vector3d fxen = fxe;
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fxen.Normalize();
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Base::Vector3d dir0n = dir0;
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dir0n.Normalize();
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Base::Vector3d dir1n = dir1;
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dir1n.Normalize();
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if (fabs(dir0n.Dot(dir1n)) == 1.0) {
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//parallel lines, no intersection
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Base::Console().Message("DU::intersect2 - parallel lines, no intersection\n");
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return false;
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}
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double scaler = fxg.Length() / fxe.Length();
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double direction = -1.0;
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if (fxgn == fxen) {
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direction = 1.0;
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}
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intersect = point0 + dir0 * scaler * direction;
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return true;
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}
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Base::Vector3d DrawUtil::vertex2Vector(const TopoDS_Vertex& v)
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{
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gp_Pnt gp = BRep_Tool::Pnt(v);
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return Base::Vector3d(gp.X(), gp.Y(), gp.Z());
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}
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//TODO: make formatVector using toVector3d
|
|
std::string DrawUtil::formatVector(const Base::Vector3d& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.x << ", " << v.y << ", " << v.z << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
std::string DrawUtil::formatVector(const gp_Dir& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.X() << ", " << v.Y() << ", " << v.Z() << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
std::string DrawUtil::formatVector(const gp_Dir2d& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.X() << ", " << v.Y() << ") ";
|
|
return builder.str();
|
|
}
|
|
std::string DrawUtil::formatVector(const gp_Vec& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.X() << ", " << v.Y() << ", " << v.Z() << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
std::string DrawUtil::formatVector(const gp_Pnt& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.X() << ", " << v.Y() << ", " << v.Z() << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
std::string DrawUtil::formatVector(const gp_Pnt2d& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.X() << ", " << v.Y() << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
std::string DrawUtil::formatVector(const QPointF& v)
|
|
{
|
|
std::stringstream builder;
|
|
builder << std::fixed << std::setprecision(Base::UnitsApi::getDecimals());
|
|
builder << " (" << v.x() << ", " << v.y() << ") ";
|
|
return builder.str();
|
|
}
|
|
|
|
//! compare 2 vectors for sorting - true if v1 < v2
|
|
//! precision::Confusion() is too strict for vertex - vertex comparisons
|
|
bool DrawUtil::vectorLess(const Base::Vector3d& v1, const Base::Vector3d& v2)
|
|
{
|
|
if ((v1 - v2).Length() > EWTOLERANCE) {//ie v1 != v2
|
|
if (!DrawUtil::fpCompare(v1.x, v2.x, 2.0 * EWTOLERANCE)) {
|
|
return (v1.x < v2.x);
|
|
}
|
|
else if (!DrawUtil::fpCompare(v1.y, v2.y, 2.0 * EWTOLERANCE)) {
|
|
return (v1.y < v2.y);
|
|
}
|
|
else {
|
|
return (v1.z < v2.z);
|
|
}
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! test for equality of two vertexes using the vectorLess comparator as used
|
|
//! in sorts and containers
|
|
bool DrawUtil::vertexEqual(TopoDS_Vertex& v1, TopoDS_Vertex& v2)
|
|
{
|
|
gp_Pnt gv1 = BRep_Tool::Pnt(v1);
|
|
gp_Pnt gv2 = BRep_Tool::Pnt(v2);
|
|
Base::Vector3d vv1(gv1.X(), gv1.Y(), gv1.Z());
|
|
Base::Vector3d vv2(gv2.X(), gv2.Y(), gv2.Z());
|
|
return vectorEqual(vv1, vv2);
|
|
}
|
|
|
|
//! test for equality of two vectors using the vectorLess comparator as used
|
|
//! in sorts and containers
|
|
bool DrawUtil::vectorEqual(Base::Vector3d& v1, Base::Vector3d& v2)
|
|
{
|
|
bool less1 = vectorLess(v1, v2);
|
|
bool less2 = vectorLess(v2, v1);
|
|
return !less1 && !less2;
|
|
}
|
|
|
|
//TODO: the next 2 could be templated
|
|
//construct a compound shape from a list of edges
|
|
TopoDS_Shape DrawUtil::vectorToCompound(std::vector<TopoDS_Edge> vecIn)
|
|
{
|
|
BRep_Builder builder;
|
|
TopoDS_Compound compOut;
|
|
builder.MakeCompound(compOut);
|
|
for (auto& v : vecIn) {
|
|
builder.Add(compOut, v);
|
|
}
|
|
return TechDraw::mirrorShape(compOut);
|
|
}
|
|
|
|
//construct a compound shape from a list of wires
|
|
TopoDS_Shape DrawUtil::vectorToCompound(std::vector<TopoDS_Wire> vecIn)
|
|
{
|
|
BRep_Builder builder;
|
|
TopoDS_Compound compOut;
|
|
builder.MakeCompound(compOut);
|
|
for (auto& v : vecIn) {
|
|
builder.Add(compOut, v);
|
|
}
|
|
return TechDraw::mirrorShape(compOut);
|
|
}
|
|
|
|
//constructs a list of edges from a shape
|
|
std::vector<TopoDS_Edge> DrawUtil::shapeToVector(TopoDS_Shape shapeIn)
|
|
{
|
|
std::vector<TopoDS_Edge> vectorOut;
|
|
TopExp_Explorer expl(shapeIn, TopAbs_EDGE);
|
|
for (; expl.More(); expl.Next()) {
|
|
vectorOut.push_back(TopoDS::Edge(expl.Current()));
|
|
}
|
|
return vectorOut;
|
|
}
|
|
|
|
//!convert fromPoint in coordinate system fromSystem to reference coordinate system
|
|
Base::Vector3d DrawUtil::toR3(const gp_Ax2& fromSystem, const Base::Vector3d& fromPoint)
|
|
{
|
|
gp_Pnt gFromPoint(fromPoint.x, fromPoint.y, fromPoint.z);
|
|
gp_Trsf T;
|
|
gp_Ax3 gRef;
|
|
gp_Ax3 gFrom(fromSystem);
|
|
T.SetTransformation(gFrom, gRef);
|
|
gp_Pnt gToPoint = gFromPoint.Transformed(T);
|
|
Base::Vector3d toPoint(gToPoint.X(), gToPoint.Y(), gToPoint.Z());
|
|
return toPoint;
|
|
}
|
|
|
|
//! check if two vectors are parallel. Vectors don't have to be unit vectors
|
|
bool DrawUtil::checkParallel(const Base::Vector3d v1, Base::Vector3d v2, double tolerance)
|
|
{
|
|
double dot = fabs(v1.Dot(v2));
|
|
double mag = v1.Length() * v2.Length();
|
|
if (DrawUtil::fpCompare(dot, mag, tolerance)) {
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! rotate vector by angle radians around axis through org
|
|
Base::Vector3d DrawUtil::vecRotate(Base::Vector3d vec, double angle, Base::Vector3d axis,
|
|
Base::Vector3d org)
|
|
{
|
|
Base::Matrix4D xForm;
|
|
xForm.rotLine(org, axis, angle);
|
|
return Base::Vector3d(xForm * (vec));
|
|
}
|
|
|
|
gp_Vec DrawUtil::closestBasis(gp_Vec inVec)
|
|
{
|
|
return gp_Vec(togp_Dir(closestBasis(toVector3d(inVec))));
|
|
}
|
|
|
|
Base::Vector3d DrawUtil::closestBasis(Base::Vector3d v)
|
|
{
|
|
Base::Vector3d result(0.0, -1, 0);
|
|
Base::Vector3d stdX(1.0, 0.0, 0.0);
|
|
Base::Vector3d stdY(0.0, 1.0, 0.0);
|
|
Base::Vector3d stdZ(0.0, 0.0, 1.0);
|
|
Base::Vector3d stdXr(-1.0, 0.0, 0.0);
|
|
Base::Vector3d stdYr(0.0, -1.0, 0.0);
|
|
Base::Vector3d stdZr(0.0, 0.0, -1.0);
|
|
|
|
//first check if already a basis
|
|
if (v.Dot(stdX) == 1.0 || v.Dot(stdY) == 1.0 || v.Dot(stdZ) == 1.0) {
|
|
return v;
|
|
}
|
|
if (v.Dot(stdX) == -1.0 || v.Dot(stdY) == -1.0 || v.Dot(stdZ) == -1.0) {
|
|
return -v;
|
|
}
|
|
|
|
//not a basis. find smallest angle with a basis.
|
|
double angleX, angleY, angleZ, angleXr, angleYr, angleZr, angleMin;
|
|
angleX = stdX.GetAngle(v);
|
|
angleY = stdY.GetAngle(v);
|
|
angleZ = stdZ.GetAngle(v);
|
|
angleXr = stdXr.GetAngle(v);
|
|
angleYr = stdYr.GetAngle(v);
|
|
angleZr = stdZr.GetAngle(v);
|
|
|
|
angleMin = std::min({angleX, angleY, angleZ, angleXr, angleYr, angleZr});
|
|
if (angleX == angleMin) {
|
|
return Base::Vector3d(1.0, 0.0, 0.0);
|
|
}
|
|
|
|
if (angleY == angleMin) {
|
|
return Base::Vector3d(0.0, 1.0, 0.0);
|
|
}
|
|
|
|
if (angleZ == angleMin) {
|
|
return Base::Vector3d(0.0, 0.0, 1.0);
|
|
}
|
|
|
|
if (angleXr == angleMin) {
|
|
return Base::Vector3d(1.0, 0.0, 0.0);
|
|
}
|
|
|
|
if (angleYr == angleMin) {
|
|
return Base::Vector3d(0.0, 1.0, 0.0);
|
|
}
|
|
|
|
if (angleZr == angleMin) {
|
|
return Base::Vector3d(0.0, 0.0, 1.0);
|
|
}
|
|
|
|
//should not get to here
|
|
return Base::Vector3d(1.0, 0.0, 0.0);
|
|
}
|
|
|
|
Base::Vector3d DrawUtil::closestBasis(Base::Vector3d vDir, gp_Ax2 coordSys)
|
|
{
|
|
gp_Dir gDir(vDir.x, vDir.y, vDir.z);
|
|
return closestBasis(gDir, coordSys);
|
|
}
|
|
|
|
Base::Vector3d DrawUtil::closestBasis(gp_Dir gDir, gp_Ax2 coordSys)
|
|
{
|
|
gp_Dir xCS = coordSys.XDirection();
|
|
gp_Dir yCS = coordSys.YDirection();
|
|
gp_Dir zCS = coordSys.Direction();
|
|
|
|
//first check if already a basis
|
|
if (gDir.Dot(xCS) == 1.0 || gDir.Dot(yCS) == 1.0 || gDir.Dot(zCS) == 1.0) {
|
|
//gDir is parallel with a basis
|
|
return Base::Vector3d(gDir.X(), gDir.Y(), gDir.Z());
|
|
}
|
|
|
|
if (gDir.Dot(xCS.Reversed()) == 1.0 || gDir.Dot(yCS.Reversed()) == 1.0
|
|
|| gDir.Dot(zCS.Reversed()) == 1.0) {
|
|
//gDir is anti-parallel with a basis
|
|
return Base::Vector3d(-gDir.X(), -gDir.Y(), -gDir.Z());
|
|
}
|
|
|
|
//not a basis. find smallest angle with a basis.
|
|
double angleX, angleY, angleZ, angleXr, angleYr, angleZr, angleMin;
|
|
angleX = gDir.Angle(xCS);
|
|
angleY = gDir.Angle(yCS);
|
|
angleZ = gDir.Angle(zCS);
|
|
angleXr = gDir.Angle(xCS.Reversed());
|
|
angleYr = gDir.Angle(yCS.Reversed());
|
|
angleZr = gDir.Angle(zCS.Reversed());
|
|
|
|
angleMin = std::min({angleX, angleY, angleZ, angleXr, angleYr, angleZr});
|
|
if (angleX == angleMin) {
|
|
return Base::Vector3d(xCS.X(), xCS.Y(), xCS.Z());
|
|
}
|
|
|
|
if (angleY == angleMin) {
|
|
return Base::Vector3d(yCS.X(), yCS.Y(), yCS.Z());
|
|
}
|
|
|
|
if (angleZ == angleMin) {
|
|
return Base::Vector3d(zCS.X(), zCS.Y(), zCS.Z());
|
|
}
|
|
|
|
if (angleXr == angleMin) {
|
|
return Base::Vector3d(-xCS.X(), -xCS.Y(), -xCS.Z());
|
|
}
|
|
|
|
if (angleYr == angleMin) {
|
|
return Base::Vector3d(-yCS.X(), -yCS.Y(), -yCS.Z());
|
|
}
|
|
|
|
if (angleZr == angleMin) {
|
|
return Base::Vector3d(-zCS.X(), -zCS.Y(), -zCS.Z());
|
|
}
|
|
|
|
//should not get to here
|
|
return Base::Vector3d(xCS.X(), xCS.Y(), xCS.Z());
|
|
}
|
|
|
|
double DrawUtil::getWidthInDirection(gp_Dir direction, TopoDS_Shape& shape)
|
|
{
|
|
Base::Vector3d stdX(1.0, 0.0, 0.0);
|
|
Base::Vector3d stdY(0.0, 1.0, 0.0);
|
|
Base::Vector3d stdZ(0.0, 0.0, 1.0);
|
|
Base::Vector3d stdXr(-1.0, 0.0, 0.0);
|
|
Base::Vector3d stdYr(0.0, -1.0, 0.0);
|
|
Base::Vector3d stdZr(0.0, 0.0, -1.0);
|
|
Base::Vector3d vClosestBasis = closestBasis(toVector3d(direction));
|
|
|
|
Bnd_Box shapeBox;
|
|
shapeBox.SetGap(0.0);
|
|
BRepBndLib::AddOptimal(shape, shapeBox);
|
|
double xMin = 0, xMax = 0, yMin = 0, yMax = 0, zMin = 0, zMax = 0;
|
|
if (shapeBox.IsVoid()) {
|
|
//this really shouldn't happen here as null shapes should have been caught
|
|
//long before this
|
|
Base::Console().Error("DU::getWidthInDirection - shapeBox is void\n");
|
|
return 0.0;
|
|
}
|
|
shapeBox.Get(xMin, yMin, zMin, xMax, yMax, zMax);
|
|
|
|
if (vClosestBasis.IsEqual(stdX, EWTOLERANCE) || vClosestBasis.IsEqual(stdXr, EWTOLERANCE)) {
|
|
return xMax - xMin;
|
|
}
|
|
|
|
if (vClosestBasis.IsEqual(stdY, EWTOLERANCE) || vClosestBasis.IsEqual(stdYr, EWTOLERANCE)) {
|
|
return yMax - yMin;
|
|
}
|
|
|
|
if (vClosestBasis.IsEqual(stdZ, EWTOLERANCE) || vClosestBasis.IsEqual(stdZr, EWTOLERANCE)) {
|
|
return zMax - zMin;
|
|
}
|
|
|
|
return 0.0;
|
|
}
|
|
|
|
//based on Function provided by Joe Dowsett, 2014
|
|
double DrawUtil::sensibleScale(double working_scale)
|
|
{
|
|
if (!(working_scale > 0.0)) {
|
|
return 1.0;
|
|
}
|
|
//which gives the largest scale for which the min_space requirements can be met, but we want a 'sensible' scale, rather than 0.28457239...
|
|
//eg if working_scale = 0.115, then we want to use 0.1, similarly 7.65 -> 5, and 76.5 -> 50
|
|
|
|
float exponent = std::floor(std::log10(working_scale));//if working_scale = a * 10^b, what is b?
|
|
working_scale *= std::pow(10, -exponent); //now find what 'a' is.
|
|
|
|
//int choices = 10;
|
|
float valid_scales[2][10] = {{1.0, 1.25, 2.0, 2.5, 3.75, 5.0, 7.5, 10.0, 50.0,
|
|
100.0},//equate to 1:10, 1:8, 1:5, 1:4, 3:8, 1:2, 3:4, 1:1
|
|
// .1 .125 .375 .75
|
|
{1.0, 1.5, 2.0, 3.0, 4.0, 5.0, 8.0, 10.0, 50.0,
|
|
100.0}};//equate to 1:1, 3:2, 2:1, 3:1, 4:1, 5:1, 8:1, 10:1
|
|
// 1.5:1
|
|
//int i = choices - 1;
|
|
int i = 9;
|
|
while (valid_scales[(exponent >= 0)][i]
|
|
> working_scale)//choose closest value smaller than 'a' from list.
|
|
i -= 1; //choosing top list if exponent -ve, bottom list for +ve exponent
|
|
|
|
//now have the appropriate scale, reapply the *10^b
|
|
return valid_scales[(exponent >= 0)][i] * pow(10, exponent);
|
|
}
|
|
|
|
double DrawUtil::getDefaultLineWeight(std::string lineType)
|
|
{
|
|
return TechDraw::LineGroup::getDefaultWidth(lineType);
|
|
}
|
|
|
|
bool DrawUtil::isBetween(const Base::Vector3d pt, const Base::Vector3d end1,
|
|
const Base::Vector3d end2)
|
|
{
|
|
double segLength = (end2 - end1).Length();
|
|
double l1 = (pt - end1).Length();
|
|
double l2 = (pt - end2).Length();
|
|
if (fpCompare(segLength, l1 + l2)) {
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
Base::Vector3d DrawUtil::Intersect2d(Base::Vector3d p1, Base::Vector3d d1, Base::Vector3d p2,
|
|
Base::Vector3d d2)
|
|
{
|
|
Base::Vector3d p12(p1.x + d1.x, p1.y + d1.y, 0.0);
|
|
double A1 = d1.y;
|
|
double B1 = -d1.x;
|
|
double C1 = A1 * p1.x + B1 * p1.y;
|
|
|
|
Base::Vector3d p22(p2.x + d2.x, p2.y + d2.y, 0.0);
|
|
double A2 = d2.y;
|
|
double B2 = -d2.x;
|
|
double C2 = A2 * p2.x + B2 * p2.y;
|
|
|
|
double det = A1 * B2 - A2 * B1;
|
|
if (fpCompare(det, 0.0, Precision::Confusion())) {
|
|
Base::Console().Message("Lines are parallel\n");
|
|
return Base::Vector3d(0.0, 0.0, 0.0);
|
|
}
|
|
|
|
double x = (B2 * C1 - B1 * C2) / det;
|
|
double y = (A1 * C2 - A2 * C1) / det;
|
|
return Base::Vector3d(x, y, 0.0);
|
|
}
|
|
|
|
Base::Vector2d DrawUtil::Intersect2d(Base::Vector2d p1, Base::Vector2d d1, Base::Vector2d p2,
|
|
Base::Vector2d d2)
|
|
{
|
|
Base::Vector2d p12(p1.x + d1.x, p1.y + d1.y);
|
|
double A1 = d1.y;
|
|
double B1 = -d1.x;
|
|
double C1 = A1 * p1.x + B1 * p1.y;
|
|
|
|
Base::Vector2d p22(p2.x + d2.x, p2.y + d2.y);
|
|
double A2 = d2.y;
|
|
double B2 = -d2.x;
|
|
double C2 = A2 * p2.x + B2 * p2.y;
|
|
|
|
double det = A1 * B2 - A2 * B1;
|
|
if (fpCompare(det, 0.0, Precision::Confusion())) {
|
|
Base::Console().Message("Lines are parallel\n");
|
|
return Base::Vector2d(0.0, 0.0);
|
|
}
|
|
|
|
double x = (B2 * C1 - B1 * C2) / det;
|
|
double y = (A1 * C2 - A2 * C1) / det;
|
|
return Base::Vector2d(x, y);
|
|
}
|
|
|
|
|
|
std::string DrawUtil::shapeToString(TopoDS_Shape s)
|
|
{
|
|
std::ostringstream buffer;
|
|
BRepTools::Write(s, buffer);
|
|
return buffer.str();
|
|
}
|
|
|
|
TopoDS_Shape DrawUtil::shapeFromString(std::string s)
|
|
{
|
|
TopoDS_Shape result;
|
|
BRep_Builder builder;
|
|
std::istringstream buffer(s);
|
|
BRepTools::Read(result, buffer, builder);
|
|
return result;
|
|
}
|
|
|
|
Base::Vector3d DrawUtil::invertY(Base::Vector3d v) { return Base::Vector3d(v.x, -v.y, v.z); }
|
|
|
|
QPointF DrawUtil::invertY(QPointF v) { return QPointF(v.x(), -v.y()); }
|
|
|
|
|
|
//obs? was used in CSV prototype of Cosmetics
|
|
std::vector<std::string> DrawUtil::split(std::string csvLine)
|
|
{
|
|
// Base::Console().Message("DU::split - csvLine: %s\n", csvLine.c_str());
|
|
std::vector<std::string> result;
|
|
std::stringstream lineStream(csvLine);
|
|
std::string cell;
|
|
|
|
while (std::getline(lineStream, cell, ',')) {
|
|
result.push_back(cell);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
//obs? was used in CSV prototype of Cosmetics
|
|
std::vector<std::string> DrawUtil::tokenize(std::string csvLine, std::string delimiter)
|
|
{
|
|
// Base::Console().Message("DU::tokenize - csvLine: %s delimit: %s\n", csvLine.c_str(), delimiter.c_str());
|
|
std::string s(csvLine);
|
|
size_t pos = 0;
|
|
std::vector<std::string> tokens;
|
|
while ((pos = s.find(delimiter)) != std::string::npos) {
|
|
tokens.push_back(s.substr(0, pos));
|
|
s.erase(0, pos + delimiter.length());
|
|
}
|
|
if (!s.empty()) {
|
|
tokens.push_back(s);
|
|
}
|
|
return tokens;
|
|
}
|
|
|
|
App::Color DrawUtil::pyTupleToColor(PyObject* pColor)
|
|
{
|
|
// Base::Console().Message("DU::pyTupleToColor()\n");
|
|
double red = 0.0, green = 0.0, blue = 0.0, alpha = 0.0;
|
|
if (!PyTuple_Check(pColor)) {
|
|
return App::Color(red, green, blue, alpha);
|
|
}
|
|
|
|
int tSize = (int)PyTuple_Size(pColor);
|
|
if (tSize > 2) {
|
|
PyObject* pRed = PyTuple_GetItem(pColor, 0);
|
|
red = PyFloat_AsDouble(pRed);
|
|
PyObject* pGreen = PyTuple_GetItem(pColor, 1);
|
|
green = PyFloat_AsDouble(pGreen);
|
|
PyObject* pBlue = PyTuple_GetItem(pColor, 2);
|
|
blue = PyFloat_AsDouble(pBlue);
|
|
}
|
|
if (tSize > 3) {
|
|
PyObject* pAlpha = PyTuple_GetItem(pColor, 3);
|
|
alpha = PyFloat_AsDouble(pAlpha);
|
|
}
|
|
return App::Color(red, green, blue, alpha);
|
|
}
|
|
|
|
PyObject* DrawUtil::colorToPyTuple(App::Color color)
|
|
{
|
|
// Base::Console().Message("DU::pyTupleToColor()\n");
|
|
PyObject* pTuple = PyTuple_New(4);
|
|
PyObject* pRed = PyFloat_FromDouble(color.r);
|
|
PyObject* pGreen = PyFloat_FromDouble(color.g);
|
|
PyObject* pBlue = PyFloat_FromDouble(color.b);
|
|
PyObject* pAlpha = PyFloat_FromDouble(color.a);
|
|
|
|
PyTuple_SET_ITEM(pTuple, 0, pRed);
|
|
PyTuple_SET_ITEM(pTuple, 1, pGreen);
|
|
PyTuple_SET_ITEM(pTuple, 2, pBlue);
|
|
PyTuple_SET_ITEM(pTuple, 3, pAlpha);
|
|
|
|
return pTuple;
|
|
}
|
|
|
|
//check for crazy edge. This is probably a geometry error of some sort.
|
|
bool DrawUtil::isCrazy(TopoDS_Edge e)
|
|
{
|
|
|
|
if (e.IsNull()) {
|
|
return true;
|
|
}
|
|
|
|
Base::Reference<ParameterGrp> hGrp = App::GetApplication()
|
|
.GetUserParameter()
|
|
.GetGroup("BaseApp")
|
|
->GetGroup("Preferences")
|
|
->GetGroup("Mod/TechDraw/debug");
|
|
bool crazyOK = hGrp->GetBool("allowCrazyEdge", false);
|
|
if (crazyOK) {
|
|
return false;
|
|
}
|
|
|
|
BRepAdaptor_Curve adapt(e);
|
|
|
|
double edgeLength = GCPnts_AbscissaPoint::Length(adapt, Precision::Confusion());
|
|
if (edgeLength < 0.00001) {//edge is scaled. this is 0.00001 mm on paper
|
|
return true;
|
|
}
|
|
if (edgeLength > 9999.9) {//edge is scaled. this is 10 m on paper. can't be right?
|
|
return true;
|
|
}
|
|
|
|
double start = BRepLProp_CurveTool::FirstParameter(adapt);
|
|
double end = BRepLProp_CurveTool::LastParameter(adapt);
|
|
BRepLProp_CLProps propStart(adapt, start, 0, Precision::Confusion());
|
|
const gp_Pnt& vStart = propStart.Value();
|
|
BRepLProp_CLProps propEnd(adapt, end, 0, Precision::Confusion());
|
|
const gp_Pnt& vEnd = propEnd.Value();
|
|
double distance = vStart.Distance(vEnd);
|
|
double ratio = edgeLength / distance;
|
|
if (adapt.GetType() == GeomAbs_BSplineCurve && distance > 0.001 &&// not a closed loop
|
|
ratio > 9999.9) { // 10, 000x
|
|
return true; //this is crazy edge
|
|
}
|
|
else if (adapt.GetType() == GeomAbs_Ellipse) {
|
|
gp_Elips ellp = adapt.Ellipse();
|
|
double major = ellp.MajorRadius();
|
|
double minor = ellp.MinorRadius();
|
|
if (minor < 0.001) {//too narrow
|
|
return true;
|
|
}
|
|
else if (major > 9999.9) {//too big
|
|
return true;
|
|
}
|
|
}
|
|
|
|
// Base::Console().Message("DU::isCrazy - returns: %d ratio: %.3f\n", false, ratio);
|
|
return false;
|
|
}
|
|
|
|
//get 3d position of a face's center
|
|
Base::Vector3d DrawUtil::getFaceCenter(TopoDS_Face f)
|
|
{
|
|
BRepAdaptor_Surface adapt(f);
|
|
double u1 = adapt.FirstUParameter();
|
|
double u2 = adapt.LastUParameter();
|
|
double mu = (u1 + u2) / 2.0;
|
|
double v1 = adapt.FirstVParameter();
|
|
double v2 = adapt.LastVParameter();
|
|
double mv = (v1 + v2) / 2.0;
|
|
BRepLProp_SLProps prop(adapt, mu, mv, 0, Precision::Confusion());
|
|
const gp_Pnt gv = prop.Value();
|
|
return Base::Vector3d(gv.X(), gv.Y(), gv.Z());
|
|
}
|
|
|
|
// test the circulation of the triangle A-B-C
|
|
bool DrawUtil::circulation(Base::Vector3d A, Base::Vector3d B, Base::Vector3d C)
|
|
{
|
|
if (A.x * B.y + A.y * C.x + B.x * C.y - C.x * B.y - C.y * A.x - B.x * A.y > 0.0)
|
|
return true;
|
|
else
|
|
return false;
|
|
}
|
|
|
|
int DrawUtil::countSubShapes(TopoDS_Shape shape, TopAbs_ShapeEnum subShape)
|
|
{
|
|
int count = 0;
|
|
TopExp_Explorer Ex(shape, subShape);
|
|
while (Ex.More()) {
|
|
count++;
|
|
Ex.Next();
|
|
}
|
|
return count;
|
|
}
|
|
|
|
//https://stackoverflow.com/questions/5665231/most-efficient-way-to-escape-xml-html-in-c-string
|
|
//for every character in inoutText, check if it is on the list of characters to be substituted and
|
|
//replace it with the encoding string
|
|
void DrawUtil::encodeXmlSpecialChars(std::string& inoutText)
|
|
{
|
|
std::string buffer;
|
|
buffer.reserve(inoutText.size());
|
|
for (size_t cursor = 0; cursor != inoutText.size(); ++cursor) {
|
|
switch (inoutText.at(cursor)) {
|
|
case '&':
|
|
buffer.append("&");
|
|
break;
|
|
case '\"':
|
|
buffer.append(""");
|
|
break;
|
|
case '\'':
|
|
buffer.append("'");
|
|
break;
|
|
case '<':
|
|
buffer.append("<");
|
|
break;
|
|
case '>':
|
|
buffer.append(">");
|
|
break;
|
|
default:
|
|
buffer.append(&inoutText.at(cursor), 1);//not a special character
|
|
break;
|
|
}
|
|
}
|
|
inoutText.swap(buffer);
|
|
}
|
|
|
|
//Sort edges into nose to tail order. From Part/App/AppPartPy.cpp. gives back a sequence
|
|
//of nose to tail edges and a shrunken input sequence of edges (the unconnected left overs)
|
|
//struct EdgePoints {
|
|
// gp_Pnt v1, v2;
|
|
// std::list<TopoDS_Edge>::iterator it;
|
|
// TopoDS_Edge edge;
|
|
//};
|
|
std::list<TopoDS_Edge> DrawUtil::sort_Edges(double tol3d, std::list<TopoDS_Edge>& edges)
|
|
{
|
|
tol3d = tol3d * tol3d;
|
|
std::list<EdgePoints> edge_points;
|
|
TopExp_Explorer xp;
|
|
for (std::list<TopoDS_Edge>::iterator it = edges.begin(); it != edges.end(); ++it) {
|
|
EdgePoints ep;
|
|
xp.Init(*it, TopAbs_VERTEX);
|
|
ep.v1 = BRep_Tool::Pnt(TopoDS::Vertex(xp.Current()));
|
|
xp.Next();
|
|
ep.v2 = BRep_Tool::Pnt(TopoDS::Vertex(xp.Current()));
|
|
ep.it = it;
|
|
ep.edge = *it;
|
|
edge_points.push_back(ep);
|
|
}
|
|
|
|
if (edge_points.empty())
|
|
return std::list<TopoDS_Edge>();
|
|
|
|
std::list<TopoDS_Edge> sorted;
|
|
gp_Pnt gpChainFirst, gpChainLast;
|
|
gpChainFirst = edge_points.front().v1;
|
|
gpChainLast = edge_points.front().v2;
|
|
|
|
sorted.push_back(edge_points.front().edge);
|
|
edges.erase(edge_points.front().it);
|
|
edge_points.erase(edge_points.begin());
|
|
|
|
while (!edge_points.empty()) {
|
|
// search for adjacent edge
|
|
std::list<EdgePoints>::iterator itEdgePoint;
|
|
for (itEdgePoint = edge_points.begin(); itEdgePoint != edge_points.end(); ++itEdgePoint) {
|
|
if (itEdgePoint->v1.SquareDistance(gpChainLast) <= tol3d) {
|
|
//found a connection from end of chain to start of edge
|
|
gpChainLast = itEdgePoint->v2;
|
|
sorted.push_back(itEdgePoint->edge);
|
|
edges.erase(itEdgePoint->it);
|
|
edge_points.erase(itEdgePoint);
|
|
itEdgePoint = edge_points.begin();
|
|
break;
|
|
}
|
|
else if (itEdgePoint->v2.SquareDistance(gpChainFirst) <= tol3d) {
|
|
//found a connection from start of chain to end of edge
|
|
gpChainFirst = itEdgePoint->v1;
|
|
sorted.push_front(itEdgePoint->edge);
|
|
edges.erase(itEdgePoint->it);
|
|
edge_points.erase(itEdgePoint);
|
|
itEdgePoint = edge_points.begin();
|
|
break;
|
|
}
|
|
else if (itEdgePoint->v2.SquareDistance(gpChainLast) <= tol3d) {
|
|
//found a connection from end of chain to end of edge
|
|
gpChainLast = itEdgePoint->v1;
|
|
Standard_Real firstParam, lastParam;
|
|
const Handle(Geom_Curve)& curve =
|
|
BRep_Tool::Curve(itEdgePoint->edge, firstParam, lastParam);
|
|
firstParam = curve->ReversedParameter(firstParam);
|
|
lastParam = curve->ReversedParameter(lastParam);
|
|
TopoDS_Edge edgeReversed =
|
|
BRepBuilderAPI_MakeEdge(curve->Reversed(), firstParam, lastParam);
|
|
sorted.push_back(edgeReversed);
|
|
edges.erase(itEdgePoint->it);
|
|
edge_points.erase(itEdgePoint);
|
|
itEdgePoint = edge_points.begin();
|
|
break;
|
|
}
|
|
else if (itEdgePoint->v1.SquareDistance(gpChainFirst) <= tol3d) {
|
|
//found a connection from start of chain to start of edge
|
|
gpChainFirst = itEdgePoint->v2;
|
|
Standard_Real firstParam, lastParam;
|
|
const Handle(Geom_Curve)& curve =
|
|
BRep_Tool::Curve(itEdgePoint->edge, firstParam, lastParam);
|
|
firstParam = curve->ReversedParameter(firstParam);
|
|
lastParam = curve->ReversedParameter(lastParam);
|
|
TopoDS_Edge edgeReversed =
|
|
BRepBuilderAPI_MakeEdge(curve->Reversed(), firstParam, lastParam);
|
|
sorted.push_front(edgeReversed);
|
|
edges.erase(itEdgePoint->it);
|
|
edge_points.erase(itEdgePoint);
|
|
itEdgePoint = edge_points.begin();
|
|
break;
|
|
}
|
|
}
|
|
|
|
if ((itEdgePoint == edge_points.end())
|
|
|| (gpChainLast.SquareDistance(gpChainFirst) <= tol3d)) {
|
|
// no adjacent edge found or polyline is closed
|
|
return sorted;
|
|
}
|
|
}
|
|
|
|
return sorted;
|
|
}
|
|
|
|
// Supplementary mathematical functions
|
|
// ====================================
|
|
|
|
int DrawUtil::sgn(double x)
|
|
{
|
|
return (x > +Precision::Confusion()) - (x < -Precision::Confusion());
|
|
}
|
|
|
|
double DrawUtil::sqr(double x) { return x * x; }
|
|
|
|
void DrawUtil::angleNormalize(double& fi)
|
|
{
|
|
while (fi <= -M_PI) {
|
|
fi += M_2PI;
|
|
}
|
|
while (fi > M_PI) {
|
|
fi -= M_2PI;
|
|
}
|
|
}
|
|
|
|
double DrawUtil::angleComposition(double fi, double delta)
|
|
{
|
|
fi += delta;
|
|
|
|
angleNormalize(fi);
|
|
return fi;
|
|
}
|
|
|
|
double DrawUtil::angleDifference(double fi1, double fi2, bool reflex)
|
|
{
|
|
angleNormalize(fi1);
|
|
angleNormalize(fi2);
|
|
|
|
fi1 -= fi2;
|
|
|
|
if (((fi1 > +M_PI) || (fi1 <= -M_PI)) != reflex) {
|
|
fi1 += fi1 > 0.0 ? -M_2PI : +M_2PI;
|
|
}
|
|
|
|
return fi1;
|
|
}
|
|
|
|
// Interval marking functions
|
|
// ==========================
|
|
|
|
unsigned int DrawUtil::intervalMerge(std::vector<std::pair<double, bool>>& marking, double boundary,
|
|
bool wraps)
|
|
{
|
|
// We will be returning the placement index instead of an iterator, because indices
|
|
// are still valid after we insert on higher positions, while iterators may be invalidated
|
|
// due to the insertion triggered reallocation
|
|
unsigned int i = 0;
|
|
bool last = false;
|
|
|
|
if (wraps && !marking.empty()) {
|
|
last = marking.back().second;
|
|
}
|
|
|
|
while (i < marking.size()) {
|
|
if (marking[i].first == boundary) {
|
|
return i;
|
|
}
|
|
if (marking[i].first > boundary) {
|
|
break;
|
|
}
|
|
|
|
last = marking[i].second;
|
|
++i;
|
|
}
|
|
|
|
if (!wraps && i >= marking.size()) {
|
|
last = false;
|
|
}
|
|
|
|
marking.insert(marking.begin() + i, std::pair<double, bool>(boundary, last));
|
|
return i;
|
|
}
|
|
|
|
void DrawUtil::intervalMarkLinear(std::vector<std::pair<double, bool>>& marking, double start,
|
|
double length, bool value)
|
|
{
|
|
if (length == 0.0) {
|
|
return;
|
|
}
|
|
if (length < 0.0) {
|
|
length = -length;
|
|
start -= length;
|
|
}
|
|
|
|
unsigned int startIndex = intervalMerge(marking, start, false);
|
|
unsigned int endIndex = intervalMerge(marking, start + length, false);
|
|
|
|
while (startIndex < endIndex) {
|
|
marking[startIndex].second = value;
|
|
++startIndex;
|
|
}
|
|
}
|
|
|
|
void DrawUtil::intervalMarkCircular(std::vector<std::pair<double, bool>>& marking, double start,
|
|
double length, bool value)
|
|
{
|
|
if (length == 0.0) {
|
|
return;
|
|
}
|
|
if (length < 0.0) {
|
|
length = -length;
|
|
start -= length;
|
|
}
|
|
if (length > M_2PI) {
|
|
length = M_2PI;
|
|
}
|
|
|
|
angleNormalize(start);
|
|
|
|
double end = start + length;
|
|
if (end > M_PI) {
|
|
end -= M_2PI;
|
|
}
|
|
|
|
// Just make sure the point is stored, its index is read last
|
|
intervalMerge(marking, end, true);
|
|
unsigned int startIndex = intervalMerge(marking, start, true);
|
|
unsigned int endIndex = intervalMerge(marking, end, true);
|
|
|
|
do {
|
|
marking[startIndex].second = value;
|
|
++startIndex;
|
|
startIndex %= marking.size();
|
|
} while (startIndex != endIndex);
|
|
}
|
|
|
|
// Supplementary 2D analytic geometry functions
|
|
//=============================================
|
|
|
|
int DrawUtil::findRootForValue(double Ax2, double Bxy, double Cy2, double Dx, double Ey, double F,
|
|
double value, bool findX, double roots[])
|
|
{
|
|
double qA = 0.0;
|
|
double qB = 0.0;
|
|
double qC = 0.0;
|
|
|
|
if (findX) {
|
|
qA = Ax2;
|
|
qB = Bxy * value + Dx;
|
|
qC = Cy2 * value * value + Ey * value + F;
|
|
}
|
|
else {
|
|
qA = Cy2;
|
|
qB = Bxy * value + Ey;
|
|
qC = Ax2 * value * value + Dx * value + F;
|
|
}
|
|
|
|
if (fabs(qA) < Precision::Confusion()) {
|
|
// No quadratic coefficient - the equation is linear
|
|
if (fabs(qB) < Precision::Confusion()) {
|
|
// Not even linear coefficient - test for zero
|
|
if (fabs(qC) > Precision::Confusion()) {
|
|
// This equation has no solution
|
|
return 0;
|
|
}
|
|
else {
|
|
// Signal infinite number of solutions by returning 2, but do not touch root variables
|
|
return 2;
|
|
}
|
|
}
|
|
else {
|
|
roots[0] = -qC / qB;
|
|
return 1;
|
|
}
|
|
}
|
|
else {
|
|
double qD = sqr(qB) - 4.0 * qA * qC;
|
|
if (qD < -Precision::Confusion()) {
|
|
// Negative discriminant => no real roots
|
|
return 0;
|
|
}
|
|
else if (qD > +Precision::Confusion()) {
|
|
// Two distinctive roots
|
|
roots[0] = (-qB + sqrt(qD)) * 0.5 / qA;
|
|
roots[1] = (-qB - sqrt(qD)) * 0.5 / qA;
|
|
return 2;
|
|
}
|
|
else {
|
|
// Double root
|
|
roots[0] = -qB * 0.5 / qA;
|
|
return 1;
|
|
}
|
|
}
|
|
}
|
|
|
|
bool DrawUtil::mergeBoundedPoint(const Base::Vector2d& point, const Base::BoundBox2d& boundary,
|
|
std::vector<Base::Vector2d>& storage)
|
|
{
|
|
if (!boundary.Contains(point, Precision::Confusion())) {
|
|
return false;
|
|
}
|
|
|
|
for (unsigned int i = 0; i < storage.size(); ++i) {
|
|
if (point.IsEqual(storage[i], Precision::Confusion())) {
|
|
return false;
|
|
}
|
|
}
|
|
|
|
storage.push_back(point);
|
|
return true;
|
|
}
|
|
|
|
void DrawUtil::findConicRectangleIntersections(double conicAx2, double conicBxy, double conicCy2,
|
|
double conicDx, double conicEy, double conicF,
|
|
const Base::BoundBox2d& rectangle,
|
|
std::vector<Base::Vector2d>& intersections)
|
|
{
|
|
double roots[2];
|
|
int rootCount;
|
|
|
|
// Find intersections with rectangle left side line
|
|
roots[0] = rectangle.MinY;
|
|
roots[1] = rectangle.MaxY;
|
|
rootCount = findRootForValue(conicAx2, conicBxy, conicCy2, conicDx, conicEy, conicF,
|
|
rectangle.MinX, false, roots);
|
|
if (rootCount > 0) {
|
|
mergeBoundedPoint(Base::Vector2d(rectangle.MinX, roots[0]), rectangle, intersections);
|
|
}
|
|
if (rootCount > 1) {
|
|
mergeBoundedPoint(Base::Vector2d(rectangle.MinX, roots[1]), rectangle, intersections);
|
|
}
|
|
|
|
// Find intersections with rectangle right side line
|
|
roots[0] = rectangle.MinY;
|
|
roots[1] = rectangle.MaxY;
|
|
rootCount = findRootForValue(conicAx2, conicBxy, conicCy2, conicDx, conicEy, conicF,
|
|
rectangle.MaxX, false, roots);
|
|
if (rootCount > 0) {
|
|
mergeBoundedPoint(Base::Vector2d(rectangle.MaxX, roots[0]), rectangle, intersections);
|
|
}
|
|
if (rootCount > 1) {
|
|
mergeBoundedPoint(Base::Vector2d(rectangle.MaxX, roots[1]), rectangle, intersections);
|
|
}
|
|
|
|
// Find intersections with rectangle top side line
|
|
roots[0] = rectangle.MinX;
|
|
roots[1] = rectangle.MaxX;
|
|
rootCount = findRootForValue(conicAx2, conicBxy, conicCy2, conicDx, conicEy, conicF,
|
|
rectangle.MinY, true, roots);
|
|
if (rootCount > 0) {
|
|
mergeBoundedPoint(Base::Vector2d(roots[0], rectangle.MinY), rectangle, intersections);
|
|
}
|
|
if (rootCount > 1) {
|
|
mergeBoundedPoint(Base::Vector2d(roots[1], rectangle.MinY), rectangle, intersections);
|
|
}
|
|
|
|
// Find intersections with rectangle top side line
|
|
roots[0] = rectangle.MinX;
|
|
roots[1] = rectangle.MaxX;
|
|
rootCount = findRootForValue(conicAx2, conicBxy, conicCy2, conicDx, conicEy, conicF,
|
|
rectangle.MaxY, true, roots);
|
|
if (rootCount > 0) {
|
|
mergeBoundedPoint(Base::Vector2d(roots[0], rectangle.MaxY), rectangle, intersections);
|
|
}
|
|
if (rootCount > 1) {
|
|
mergeBoundedPoint(Base::Vector2d(roots[1], rectangle.MaxY), rectangle, intersections);
|
|
}
|
|
}
|
|
|
|
void DrawUtil::findLineRectangleIntersections(const Base::Vector2d& linePoint, double lineAngle,
|
|
const Base::BoundBox2d& rectangle,
|
|
std::vector<Base::Vector2d>& intersections)
|
|
{
|
|
Base::Vector2d lineDirection(Base::Vector2d::FromPolar(1.0, lineAngle));
|
|
findConicRectangleIntersections(0.0, 0.0, 0.0, +lineDirection.y, -lineDirection.x,
|
|
lineDirection.x * linePoint.y - lineDirection.y * linePoint.x,
|
|
rectangle, intersections);
|
|
}
|
|
|
|
void DrawUtil::findCircleRectangleIntersections(const Base::Vector2d& circleCenter,
|
|
double circleRadius,
|
|
const Base::BoundBox2d& rectangle,
|
|
std::vector<Base::Vector2d>& intersections)
|
|
{
|
|
findConicRectangleIntersections(1.0, 0.0, 1.0, -2.0 * circleCenter.x, -2.0 * circleCenter.y,
|
|
sqr(circleCenter.x) + sqr(circleCenter.y) - sqr(circleRadius),
|
|
rectangle, intersections);
|
|
}
|
|
|
|
void DrawUtil::findLineSegmentRectangleIntersections(const Base::Vector2d& linePoint,
|
|
double lineAngle, double segmentBasePosition,
|
|
double segmentLength,
|
|
const Base::BoundBox2d& rectangle,
|
|
std::vector<Base::Vector2d>& intersections)
|
|
{
|
|
findLineRectangleIntersections(linePoint, lineAngle, rectangle, intersections);
|
|
|
|
if (segmentLength < 0.0) {
|
|
segmentLength = -segmentLength;
|
|
segmentBasePosition -= segmentLength;
|
|
}
|
|
|
|
// Dispose the points on rectangle but not within the line segment boundaries
|
|
Base::Vector2d segmentDirection(Base::Vector2d::FromPolar(1.0, lineAngle));
|
|
for (unsigned int i = 0; i < intersections.size();) {
|
|
double pointPosition = segmentDirection * (intersections[i] - linePoint);
|
|
|
|
if (pointPosition < segmentBasePosition - Precision::Confusion()
|
|
|| pointPosition > segmentBasePosition + segmentLength + Precision::Confusion()) {
|
|
intersections.erase(intersections.begin() + i);
|
|
}
|
|
else {
|
|
++i;
|
|
}
|
|
}
|
|
|
|
// Try to add the line segment end points
|
|
mergeBoundedPoint(linePoint + segmentBasePosition * segmentDirection, rectangle, intersections);
|
|
mergeBoundedPoint(linePoint + (segmentBasePosition + segmentLength) * segmentDirection,
|
|
rectangle, intersections);
|
|
}
|
|
|
|
void DrawUtil::findCircularArcRectangleIntersections(const Base::Vector2d& circleCenter,
|
|
double circleRadius, double arcBaseAngle,
|
|
double arcRotation,
|
|
const Base::BoundBox2d& rectangle,
|
|
std::vector<Base::Vector2d>& intersections)
|
|
{
|
|
findCircleRectangleIntersections(circleCenter, circleRadius, rectangle, intersections);
|
|
|
|
if (arcRotation < 0.0) {
|
|
arcRotation = -arcRotation;
|
|
arcBaseAngle -= arcRotation;
|
|
if (arcBaseAngle <= -M_PI) {
|
|
arcBaseAngle += M_2PI;
|
|
}
|
|
}
|
|
|
|
// Dispose the points on rectangle but not within the circular arc boundaries
|
|
for (unsigned int i = 0; i < intersections.size();) {
|
|
double pointAngle = (intersections[i] - circleCenter).Angle();
|
|
if (pointAngle < arcBaseAngle - Precision::Confusion()) {
|
|
pointAngle += M_2PI;
|
|
}
|
|
|
|
if (pointAngle > arcBaseAngle + arcRotation + Precision::Confusion()) {
|
|
intersections.erase(intersections.begin() + i);
|
|
}
|
|
else {
|
|
++i;
|
|
}
|
|
}
|
|
|
|
// Try to add the circular arc end points
|
|
mergeBoundedPoint(circleCenter + Base::Vector2d::FromPolar(circleRadius, arcBaseAngle),
|
|
rectangle, intersections);
|
|
mergeBoundedPoint(circleCenter
|
|
+ Base::Vector2d::FromPolar(circleRadius, arcBaseAngle + arcRotation),
|
|
rectangle, intersections);
|
|
}
|
|
|
|
//copy whole text file from inSpec to outSpec
|
|
//create empty outSpec file if inSpec
|
|
void DrawUtil::copyFile(std::string inSpec, std::string outSpec)
|
|
{
|
|
// Base::Console().Message("DU::copyFile(%s, %s)\n", inSpec.c_str(), outSpec.c_str());
|
|
if (inSpec.empty()) {
|
|
// create an empty file
|
|
Base::FileInfo fi(outSpec);
|
|
Base::ofstream output(fi);
|
|
return;
|
|
}
|
|
Base::FileInfo fi(inSpec);
|
|
if (!fi.isReadable()) {
|
|
return;
|
|
}
|
|
bool rc = fi.copyTo(outSpec.c_str());
|
|
if (!rc) {
|
|
Base::Console().Message("DU::copyFile - failed - in: %s out:%s\n", inSpec.c_str(),
|
|
outSpec.c_str());
|
|
}
|
|
}
|
|
|
|
|
|
//============================
|
|
// various debugging routines.
|
|
void DrawUtil::dumpVertexes(const char* text, const TopoDS_Shape& s)
|
|
{
|
|
Base::Console().Message("DUMP - %s\n", text);
|
|
TopExp_Explorer expl(s, TopAbs_VERTEX);
|
|
for (int i = 1; expl.More(); expl.Next(), i++) {
|
|
const TopoDS_Vertex& v = TopoDS::Vertex(expl.Current());
|
|
gp_Pnt pnt = BRep_Tool::Pnt(v);
|
|
Base::Console().Message("v%d: (%.3f, %.3f, %.3f)\n", i, pnt.X(), pnt.Y(), pnt.Z());
|
|
}
|
|
}
|
|
|
|
void DrawUtil::countFaces(const char* text, const TopoDS_Shape& s)
|
|
{
|
|
TopTools_IndexedMapOfShape mapOfFaces;
|
|
TopExp::MapShapes(s, TopAbs_FACE, mapOfFaces);
|
|
int num = mapOfFaces.Extent();
|
|
Base::Console().Message("COUNT - %s has %d Faces\n", text, num);
|
|
}
|
|
|
|
//count # of unique Wires in shape.
|
|
void DrawUtil::countWires(const char* text, const TopoDS_Shape& s)
|
|
{
|
|
TopTools_IndexedMapOfShape mapOfWires;
|
|
TopExp::MapShapes(s, TopAbs_WIRE, mapOfWires);
|
|
int num = mapOfWires.Extent();
|
|
Base::Console().Message("COUNT - %s has %d wires\n", text, num);
|
|
}
|
|
|
|
void DrawUtil::countEdges(const char* text, const TopoDS_Shape& s)
|
|
{
|
|
TopTools_IndexedMapOfShape mapOfEdges;
|
|
TopExp::MapShapes(s, TopAbs_EDGE, mapOfEdges);
|
|
int num = mapOfEdges.Extent();
|
|
Base::Console().Message("COUNT - %s has %d edges\n", text, num);
|
|
}
|
|
|
|
void DrawUtil::dumpEdges(const char* text, const TopoDS_Shape& s)
|
|
{
|
|
Base::Console().Message("DUMP - %s\n", text);
|
|
TopExp_Explorer expl(s, TopAbs_EDGE);
|
|
for (int i = 1; expl.More(); expl.Next(), i++) {
|
|
const TopoDS_Edge& e = TopoDS::Edge(expl.Current());
|
|
dumpEdge("dumpEdges", i, e);
|
|
}
|
|
}
|
|
|
|
void DrawUtil::dump1Vertex(const char* text, const TopoDS_Vertex& v)
|
|
{
|
|
// Base::Console().Message("DUMP - dump1Vertex - %s\n",text);
|
|
gp_Pnt pnt = BRep_Tool::Pnt(v);
|
|
Base::Console().Message("%s: (%.3f, %.3f, %.3f)\n", text, pnt.X(), pnt.Y(), pnt.Z());
|
|
}
|
|
|
|
void DrawUtil::dumpEdge(const char* label, int i, TopoDS_Edge e)
|
|
{
|
|
BRepAdaptor_Curve adapt(e);
|
|
double start = BRepLProp_CurveTool::FirstParameter(adapt);
|
|
double end = BRepLProp_CurveTool::LastParameter(adapt);
|
|
BRepLProp_CLProps propStart(adapt, start, 0, Precision::Confusion());
|
|
const gp_Pnt& vStart = propStart.Value();
|
|
BRepLProp_CLProps propEnd(adapt, end, 0, Precision::Confusion());
|
|
const gp_Pnt& vEnd = propEnd.Value();
|
|
//Base::Console().Message("%s edge:%d start:(%.3f, %.3f, %.3f)/%0.3f end:(%.2f, %.3f, %.3f)/%.3f\n", label, i,
|
|
// vStart.X(), vStart.Y(), vStart.Z(), start, vEnd.X(), vEnd.Y(), vEnd.Z(), end);
|
|
Base::Console().Message(
|
|
"%s edge:%d start:(%.3f, %.3f, %.3f) end:(%.2f, %.3f, %.3f) Orient: %d\n", label, i,
|
|
vStart.X(), vStart.Y(), vStart.Z(), vEnd.X(), vEnd.Y(), vEnd.Z(), e.Orientation());
|
|
double edgeLength = GCPnts_AbscissaPoint::Length(adapt, Precision::Confusion());
|
|
Base::Console().Message(">>>>>>> length: %.3f distance: %.3f ration: %.3f type: %d\n",
|
|
edgeLength, vStart.Distance(vEnd), edgeLength / vStart.Distance(vEnd),
|
|
adapt.GetType());
|
|
}
|
|
|
|
const char* DrawUtil::printBool(bool b) { return (b ? "True" : "False"); }
|
|
|
|
QString DrawUtil::qbaToDebug(const QByteArray& line)
|
|
{
|
|
QString s;
|
|
uchar c;
|
|
|
|
for (int i = 0; i < line.size(); i++) {
|
|
c = line[i];
|
|
if ((c >= 0x20) && (c <= 126)) {
|
|
s.append(QChar::fromLatin1(c));
|
|
}
|
|
else {
|
|
s.append(QString::fromUtf8("<%1>").arg(c, 2, 16, QChar::fromLatin1('0')));
|
|
}
|
|
}
|
|
return s;
|
|
}
|
|
|
|
void DrawUtil::dumpCS(const char* text, const gp_Ax2& CS)
|
|
{
|
|
gp_Dir baseAxis = CS.Direction();
|
|
gp_Dir baseX = CS.XDirection();
|
|
gp_Dir baseY = CS.YDirection();
|
|
gp_Pnt baseOrg = CS.Location();
|
|
Base::Console().Message(
|
|
"DU::dumpCS - %s Loc: %s Axis: %s X: %s Y: %s\n", text,
|
|
DrawUtil::formatVector(baseOrg).c_str(), DrawUtil::formatVector(baseAxis).c_str(),
|
|
DrawUtil::formatVector(baseX).c_str(), DrawUtil::formatVector(baseY).c_str());
|
|
}
|
|
|
|
void DrawUtil::dumpCS3(const char* text, const gp_Ax3& CS)
|
|
{
|
|
gp_Dir baseAxis = CS.Direction();
|
|
gp_Dir baseX = CS.XDirection();
|
|
gp_Dir baseY = CS.YDirection();
|
|
gp_Pnt baseOrg = CS.Location();
|
|
Base::Console().Message(
|
|
"DU::dumpCS3 - %s Loc: %s Axis: %s X: %s Y: %s\n", text,
|
|
DrawUtil::formatVector(baseOrg).c_str(), DrawUtil::formatVector(baseAxis).c_str(),
|
|
DrawUtil::formatVector(baseX).c_str(), DrawUtil::formatVector(baseY).c_str());
|
|
}
|