Patch for 6.7.1 version of OCCT.
IncompatibilityOfFace,
OperationAborted,
GeomAbs_C0,
+ InvalidCurveOnSurface,
NotValid
end CheckStatus;
---Purpose: Returns (modifiable) mode that means
-- checking of problem of continuity of the shape.
+ CurveOnSurfaceMode(me: in out)
+ returns Boolean from Standard;
+ ---C++: return &
+ ---C++: inline
+ ---Purpose: Returns (modifiable) mode that means
+ -- checking of problem of invalid curve on surface.
+
---
Perform(me: out);
---Purpose: performs analysis
is protected;
TestContinuity(me: out)
+ is protected;
+
+ TestCurveOnSurface(me: out)
is protected;
-- TestMergeFace(me: out)
fields
- myShape1 : Shape from TopoDS;
- myShape2 : Shape from TopoDS;
- myStopOnFirst : Boolean from Standard;
- myOperation : Operation from BOPAlgo;
- myArgumentTypeMode : Boolean from Standard;
- mySelfInterMode : Boolean from Standard;
- mySmallEdgeMode : Boolean from Standard;
- myRebuildFaceMode : Boolean from Standard;
- myTangentMode : Boolean from Standard;
- myMergeVertexMode : Boolean from Standard;
- myMergeEdgeMode : Boolean from Standard;
- myContinuityMode : Boolean from Standard;
- myEmpty1,myEmpty2 : Boolean from Standard;
- myResult : ListOfCheckResult from BOPAlgo;
-
-
+ myShape1 : Shape from TopoDS;
+ myShape2 : Shape from TopoDS;
+ myStopOnFirst : Boolean from Standard;
+ myOperation : Operation from BOPAlgo;
+ myArgumentTypeMode : Boolean from Standard;
+ mySelfInterMode : Boolean from Standard;
+ mySmallEdgeMode : Boolean from Standard;
+ myRebuildFaceMode : Boolean from Standard;
+ myTangentMode : Boolean from Standard;
+ myMergeVertexMode : Boolean from Standard;
+ myMergeEdgeMode : Boolean from Standard;
+ myContinuityMode : Boolean from Standard;
+ myCurveOnSurfaceMode : Boolean from Standard;
+ myEmpty1, myEmpty2 : Boolean from Standard;
+ myResult : ListOfCheckResult from BOPAlgo;
+
end ArgumentAnalyzer;
myMergeVertexMode(Standard_False),
myMergeEdgeMode(Standard_False),
myContinuityMode(Standard_False),
+myCurveOnSurfaceMode(Standard_False),
myEmpty1(Standard_False),
myEmpty2(Standard_False)
// myMergeFaceMode(Standard_False)
if(!(!myResult.IsEmpty() && myStopOnFirst))
TestContinuity();
}
+
+ if(myCurveOnSurfaceMode) {
+ if(!(!myResult.IsEmpty() && myStopOnFirst))
+ TestCurveOnSurface();
+ }
}
catch(Standard_Failure) {
BOPAlgo_CheckResult aResult;
}
}
+// ================================================================================
+// function: TestCurveOnSurface
+// purpose:
+// ================================================================================
+void BOPAlgo_ArgumentAnalyzer::TestCurveOnSurface()
+{
+ Standard_Integer i;
+ Standard_Real aT, aD, aTolE;
+ TopExp_Explorer aExpF, aExpE;
+ //
+ for(i = 0; i < 2; i++) {
+ const TopoDS_Shape& aS = (i == 0) ? myShape1 : myShape2;
+ if(aS.IsNull()) {
+ continue;
+ }
+ //
+ aExpF.Init(aS, TopAbs_FACE);
+ for (; aExpF.More(); aExpF.Next()) {
+ const TopoDS_Face& aF = *(TopoDS_Face*)&aExpF.Current();
+ //
+ aExpE.Init(aF, TopAbs_EDGE);
+ for (; aExpE.More(); aExpE.Next()) {
+ const TopoDS_Edge& aE = *(TopoDS_Edge*)&aExpE.Current();
+ //
+ if (BOPTools_AlgoTools::ComputeTolerance(aF, aE, aD, aT)) {
+ aTolE = BRep_Tool::Tolerance(aE);
+ if (aD > aTolE) {
+ BOPAlgo_CheckResult aResult;
+ aResult.SetCheckStatus(BOPAlgo_InvalidCurveOnSurface);
+ if(i == 0) {
+ aResult.SetShape1(myShape1);
+ aResult.AddFaultyShape1(aE);
+ aResult.AddFaultyShape1(aF);
+ aResult.SetMaxDistance1(aD);
+ aResult.SetMaxParameter1(aT);
+ }
+ else {
+ aResult.SetShape2(myShape2);
+ aResult.AddFaultyShape2(aE);
+ aResult.AddFaultyShape2(aF);
+ aResult.SetMaxDistance2(aD);
+ aResult.SetMaxParameter2(aT);
+ }
+ myResult.Append(aResult);
+ }
+ }
+ }
+ }
+ }
+}
+
// ================================================================================
// function: TestMergeFace
// purpose:
return myContinuityMode;
}
+inline Standard_Boolean& BOPAlgo_ArgumentAnalyzer::CurveOnSurfaceMode()
+{
+ return myCurveOnSurfaceMode;
+}
// inline Standard_Boolean& BOPAlgo_ArgumentAnalyzer::MergeFaceMode()
// {
// return myMergeFaceMode;
---Purpose: sets ancestor shape (tool) for faulty sub-shapes
AddFaultyShape2(me: in out; TheShape: Shape from TopoDS);
- ---Purpose: adds faulty sub-shapes from tool to a list
+ ---Purpose: adds faulty sub-shapes from tool to a list
GetShape1(me)
returns Shape from TopoDS;
GetCheckStatus(me)
returns CheckStatus from BOPAlgo;
- ---Purpose: gets status of faulty
+ ---Purpose: gets status of faulty
+
+ SetMaxDistance1(me:out;
+ theDist : Real from Standard);
+ ---Purpose: Sets max distance for the first shape
+
+ SetMaxDistance2(me:out;
+ theDist : Real from Standard);
+ ---Purpose: Sets max distance for the second shape
+
+ SetMaxParameter1(me:out;
+ thePar : Real from Standard);
+ ---Purpose: Sets the parameter for the first shape
+
+ SetMaxParameter2(me:out;
+ thePar : Real from Standard);
+ ---Purpose: Sets the parameter for the second shape
+
+ GetMaxDistance1(me)
+ returns Real from Standard;
+ ---Purpose: Returns the distance for the first shape
+
+ GetMaxDistance2(me)
+ returns Real from Standard;
+ ---Purpose: Returns the distance for the second shape
+
+ GetMaxParameter1(me)
+ returns Real from Standard;
+ ---Purpose: Returns the parameter for the fircst shape
+
+ GetMaxParameter2(me)
+ returns Real from Standard;
+ ---Purpose: Returns the parameter for the second shape
fields
myShape2 : Shape from TopoDS;
myStatus : CheckStatus from BOPAlgo;
myFaulty1 : ListOfShape from BOPCol;
- myFaulty2 : ListOfShape from BOPCol;
+ myFaulty2 : ListOfShape from BOPCol;
+ myMaxDist1 : Real from Standard;
+ myMaxDist2 : Real from Standard;
+ myMaxPar1 : Real from Standard;
+ myMaxPar2 : Real from Standard;
end CheckResult;
// function: BOPAlgo_CheckResult()
// purpose:
//=======================================================================
-BOPAlgo_CheckResult::BOPAlgo_CheckResult() : myStatus(BOPAlgo_CheckUnknown)
+BOPAlgo_CheckResult::BOPAlgo_CheckResult()
+:
+ myStatus(BOPAlgo_CheckUnknown),
+ myMaxDist1(0.),
+ myMaxDist2(0.),
+ myMaxPar1(0.),
+ myMaxPar2(0.)
{
}
{
return myStatus;
}
+
+void BOPAlgo_CheckResult::SetMaxDistance1(const Standard_Real theDist)
+{
+ myMaxDist1 = theDist;
+}
+
+void BOPAlgo_CheckResult::SetMaxDistance2(const Standard_Real theDist)
+{
+ myMaxDist2 = theDist;
+}
+
+void BOPAlgo_CheckResult::SetMaxParameter1(const Standard_Real thePar)
+{
+ myMaxPar1 = thePar;
+}
+
+void BOPAlgo_CheckResult::SetMaxParameter2(const Standard_Real thePar)
+{
+ myMaxPar2 = thePar;
+}
+
+Standard_Real BOPAlgo_CheckResult::GetMaxDistance1() const
+{
+ return myMaxDist1;
+}
+
+Standard_Real BOPAlgo_CheckResult::GetMaxDistance2() const
+{
+ return myMaxDist2;
+}
+
+Standard_Real BOPAlgo_CheckResult::GetMaxParameter1() const
+{
+ return myMaxPar1;
+}
+
+Standard_Real BOPAlgo_CheckResult::GetMaxParameter2() const
+{
+ return myMaxPar2;
+}
#include <BOPTest.ixx>
#include <TCollection_AsciiString.hxx>
+#include <TopExp_Explorer.hxx>
+
+#include <TopTools_MapOfShape.hxx>
+#include <TopTools_ShapeMapHasher.hxx>
+
#include <gp_Pnt.hxx>
#include <TopoDS_Shape.hxx>
#include <BOPAlgo_ArgumentAnalyzer.hxx>
#include <BOPAlgo_CheckResult.hxx>
+#include <BOPTools_AlgoTools.hxx>
+
static
Standard_Integer bopcheck (Draw_Interpretor&, Standard_Integer, const char** );
static
Standard_Integer bopargcheck (Draw_Interpretor&, Standard_Integer, const char** );
+
+static
+ Standard_Integer xdistef(Draw_Interpretor&, Standard_Integer, const char** );
+
+static
+ Standard_Integer checkcurveonsurf (Draw_Interpretor&, Standard_Integer, const char**);
+
//
//=======================================================================
theCommands.Add("bopargcheck" ,
"Use bopargcheck without parameters to get ",
__FILE__, bopargcheck, g);
+ theCommands.Add ("xdistef" ,
+ "Use xdistef edge face",
+ __FILE__, xdistef, g);
+ theCommands.Add("checkcurveonsurf",
+ "checkcurveonsurf shape",
+ __FILE__, checkcurveonsurf, g);
}
//=======================================================================
const Standard_Integer aIndex,
const BOPCol_ListOfShape & aList,
Standard_Integer& aCount,
- Draw_Interpretor& di)
+ Draw_Interpretor& di,
+ Standard_Boolean bCurveOnSurf = Standard_False,
+ Standard_Real aMaxDist = 0.,
+ Standard_Real aMaxParameter = 0.)
{
TCollection_AsciiString aNum(aIndex);
TCollection_AsciiString aName = aBaseName + aNum;
BB.Add(cmp, aS);
aCount++;
}
- di << "Made faulty shape: " << name << "\n";
+ di << "Made faulty shape: " << name;
+ //
+ if (bCurveOnSurf) {
+ di << " (MaxDist = " << aMaxDist
+ << ", MaxPar = " << aMaxParameter << ")";
+ }
+ //
+ di << "\n";
+ //
DBRep::Set(name, cmp);
}
if (n<2) {
di << "\n";
di << " Use >bopargcheck Shape1 [[Shape2] ";
- di << "[-F/O/C/T/S/U] [/R|F|T|V|E|I|P]] [#BF]" << "\n" << "\n";
+ di << "[-F/O/C/T/S/U] [/R|F|T|V|E|I|P|C|S]] [#BF]" << "\n" << "\n";
di << " -<Boolean Operation>" << "\n";
di << " F (fuse)" << "\n";
di << " O (common)" << "\n";
di << " I (disable self-interference test)" << "\n";
di << " P (disable shape type test)" << "\n";
di << " C (disable test for shape continuity)" << "\n";
+ di << " S (disable curve on surface check)" << "\n";
di << " For example: \"bopargcheck s1 s2 /RI\" disables ";
di << "small edge detection and self-intersection detection" << "\n";
di << " default - all options are enabled" << "\n" << "\n";
aChecker.SetShape1(aS1);
// set default options (always tested!) for single and couple shapes
- aChecker.ArgumentTypeMode() = Standard_True;
- aChecker.SelfInterMode() = Standard_True;
- aChecker.SmallEdgeMode() = Standard_True;
- aChecker.RebuildFaceMode() = Standard_True;
- aChecker.ContinuityMode() = Standard_True;
+ aChecker.ArgumentTypeMode() = Standard_True;
+ aChecker.SelfInterMode() = Standard_True;
+ aChecker.SmallEdgeMode() = Standard_True;
+ aChecker.RebuildFaceMode() = Standard_True;
+ aChecker.ContinuityMode() = Standard_True;
+ aChecker.CurveOnSurfaceMode() = Standard_True;
// test & set options and operation for two shapes
if(!aS22.IsNull()) {
else if(a[indxOP][ind] == 'C' || a[indxOP][ind] == 'c') {
aChecker.ContinuityMode() = Standard_False;
}
+ else if(a[indxOP][ind] == 'S' || a[indxOP][ind] == 's') {
+ aChecker.CurveOnSurfaceMode() = Standard_False;
+ }
else {
di << "Error: invalid test option(s)!" << "\n";
di << "Type bopargcheck without arguments for more information" << "\n";
Standard_Integer S2_SelfIntAll = 0, S2_SmalEAll = 0, S2_BadFAll = 0, S2_BadVAll = 0, S2_BadEAll = 0;
Standard_Integer S1_OpAb = 0, S2_OpAb = 0;
Standard_Integer S1_C0 = 0, S2_C0 = 0, S1_C0All = 0, S2_C0All = 0;
+ Standard_Integer S1_COnS = 0, S2_COnS = 0, S1_COnSAll = 0, S2_COnSAll = 0;
Standard_Boolean hasUnknown = Standard_False;
TCollection_AsciiString aS1SIBaseName("s1si_");
TCollection_AsciiString aS1BVBaseName("s1bv_");
TCollection_AsciiString aS1BEBaseName("s1be_");
TCollection_AsciiString aS1C0BaseName("s1C0_");
+ TCollection_AsciiString aS1COnSBaseName("s1COnS_");
TCollection_AsciiString aS2SIBaseName("s2si_");
TCollection_AsciiString aS2SEBaseName("s2se_");
TCollection_AsciiString aS2BFBaseName("s2bf_");
TCollection_AsciiString aS2BVBaseName("s2bv_");
TCollection_AsciiString aS2BEBaseName("s2be_");
TCollection_AsciiString aS2C0BaseName("s2C0_");
+ TCollection_AsciiString aS2COnSBaseName("s2COnS_");
for(; anIt.More(); anIt.Next()) {
const BOPAlgo_CheckResult& aResult = anIt.Value();
}
}
break;
+ case BOPAlgo_InvalidCurveOnSurface: {
+ if(!aSS1.IsNull()) {
+ S1_COnS++;
+ if(isL1) {
+ Standard_Real aMaxDist = aResult.GetMaxDistance1();
+ Standard_Real aMaxParameter = aResult.GetMaxParameter1();
+ MakeShapeForFullOutput(aS1COnSBaseName, S1_COnS, aLS1, S1_COnSAll, di,
+ Standard_True, aMaxDist, aMaxParameter);
+ }
+ }
+ if(!aSS2.IsNull()) {
+ S2_COnS++;
+ if(isL2) {
+ Standard_Real aMaxDist = aResult.GetMaxDistance2();
+ Standard_Real aMaxParameter = aResult.GetMaxParameter2();
+ MakeShapeForFullOutput(aS2COnSBaseName, S2_COnS, aLS2, S2_COnSAll, di,
+ Standard_True, aMaxDist, aMaxParameter);
+ }
+ }
+ }
+ break;
case BOPAlgo_OperationAborted: {
if(!aSS1.IsNull()) S1_OpAb++;
if(!aSS2.IsNull()) S2_OpAb++;
} // switch
}// faulties
- Standard_Integer FS1 = S1_SelfInt + S1_SmalE + S1_BadF + S1_BadV + S1_BadE + S1_OpAb + S1_C0;
+ Standard_Integer FS1 = S1_SelfInt + S1_SmalE + S1_BadF + S1_BadV + S1_BadE + S1_OpAb + S1_C0 + S1_COnS;
FS1 += (S1_BadType != 0) ? 1 : 0;
- Standard_Integer FS2 = S2_SelfInt + S2_SmalE + S2_BadF + S2_BadV + S2_BadE + S2_OpAb + S2_C0;
+ Standard_Integer FS2 = S2_SelfInt + S2_SmalE + S2_BadF + S2_BadV + S2_BadE + S2_OpAb + S2_C0 + S2_COnS;
FS2 += (S2_BadType != 0) ? 1 : 0;
// output for first shape
di << " Cases(" << S1_C0 << ") Total shapes(" << S1_C0All << ")" << "\n";
else
di << "\n";
+
+ Standard_CString CString17;
+ if (S1_COnS != 0)
+ CString17="YES";
+ else
+ CString17="NO";
+ di << "Invalid Curve on Surface : " << CString17;
+ if(S1_COnS != 0)
+ di << " Cases(" << S1_COnS << ") Total shapes(" << S1_COnSAll << ")" << "\n";
+ else
+ di << "\n";
}
// output for second shape
else
di << "\n";
+ Standard_CString CString18;
+ if (S2_COnS != 0)
+ CString18="YES";
+ else
+ CString18="NO";
+ di << "Invalid Curve on Surface : " << CString18;
+ if(S2_COnS != 0)
+ di << " Cases(" << S2_COnS << ") Total shapes(" << S2_COnSAll << ")" << "\n";
+ else
+ di << "\n";
+
// warning
di << "\n";
if(hasUnknown)
return 0;
}
+
+//=======================================================================
+//function : xdistef
+//purpose :
+//=======================================================================
+Standard_Integer xdistef(Draw_Interpretor& di,
+ Standard_Integer n,
+ const char** a)
+{
+ if(n < 3) {
+ di << "Use efmaxdist edge face\n";
+ return 1;
+ }
+ //
+ const TopoDS_Shape aS1 = DBRep::Get(a[1]);
+ const TopoDS_Shape aS2 = DBRep::Get(a[2]);
+ //
+ if (aS1.IsNull() || aS2.IsNull()) {
+ di << "null shapes\n";
+ return 1;
+ }
+ //
+ if (aS1.ShapeType() != TopAbs_EDGE ||
+ aS2.ShapeType() != TopAbs_FACE) {
+ di << "type mismatch\n";
+ return 1;
+ }
+ //
+ Standard_Real aMaxDist, aMaxPar, aTolE;
+ //
+ const TopoDS_Edge& anEdge = *(TopoDS_Edge*)&aS1;
+ const TopoDS_Face& aFace = *(TopoDS_Face*)&aS2;
+ //
+ if(!BOPTools_AlgoTools::ComputeTolerance
+ (aFace, anEdge, aMaxDist, aMaxPar)) {
+ di << "Tolerance cannot be computed\n";
+ return 1;
+ }
+ //
+ aTolE = BRep_Tool::Tolerance(anEdge);
+ di << "Max Distance = " << aMaxDist
+ << "; Parameter on curve = " << aMaxPar << "\n";
+ //
+ return 0;
+}
+
+//=======================================================================
+//function : checkcurveonsurf
+//purpose :
+//=======================================================================
+Standard_Integer checkcurveonsurf(Draw_Interpretor& di,
+ Standard_Integer n,
+ const char** a)
+{
+ if (n != 2) {
+ di << "use checkcurveonsurf shape\n";
+ return 1;
+ }
+ //
+ TopoDS_Shape aS = DBRep::Get(a[1]);
+ if (aS.IsNull()) {
+ di << "null shape\n";
+ return 1;
+ }
+ //
+ Standard_Integer nE, nF, anECounter, aFCounter;
+ Standard_Real aT, aTolE, aD, aDMax;
+ TopExp_Explorer aExpF, aExpE;
+ char buf[200], aFName[10], anEName[10];
+ NCollection_DataMap<TopoDS_Shape, Standard_Real, TopTools_ShapeMapHasher> aDMETol;
+ BOPCol_DataMapOfShapeInteger aMSI;
+ //
+ anECounter = 0;
+ aFCounter = 0;
+ //
+ aExpF.Init(aS, TopAbs_FACE);
+ for (; aExpF.More(); aExpF.Next()) {
+ const TopoDS_Face& aF = *(TopoDS_Face*)&aExpF.Current();
+ //
+ aExpE.Init(aF, TopAbs_EDGE);
+ for (; aExpE.More(); aExpE.Next()) {
+ const TopoDS_Edge& aE = *(TopoDS_Edge*)&aExpE.Current();
+ //
+ if (!BOPTools_AlgoTools::ComputeTolerance(aF, aE, aDMax, aT)) {
+ continue;
+ }
+ //
+ aTolE = BRep_Tool::Tolerance(aE);
+ if (aDMax < aTolE) {
+ continue;
+ }
+ //
+ if (aDMETol.IsBound(aE)) {
+ aD = aDMETol.Find(aE);
+ if (aDMax > aD) {
+ aDMETol.UnBind(aE);
+ aDMETol.Bind(aE, aDMax);
+ }
+ }
+ else {
+ aDMETol.Bind(aE, aDMax);
+ }
+ //
+ if (anECounter == 0) {
+ di << "Invalid curves on surface:\n";
+ }
+ //
+ if (aMSI.IsBound(aE)) {
+ nE = aMSI.Find(aE);
+ }
+ else {
+ nE = anECounter;
+ aMSI.Bind(aE, nE);
+ ++anECounter;
+ }
+ //
+ if (aMSI.IsBound(aF)) {
+ nF = aMSI.Find(aF);
+ } else {
+ nF = aFCounter;
+ aMSI.Bind(aF, nF);
+ ++aFCounter;
+ }
+ //
+ sprintf(anEName, "e_%d", nE);
+ sprintf(aFName , "f_%d", nF);
+ sprintf(buf, "edge %s on face %s (max dist: %3.16f, parameter on curve: %3.16f)\n",
+ anEName, aFName, aDMax, aT);
+ di << buf;
+ //
+ DBRep::Set(anEName, aE);
+ DBRep::Set(aFName , aF);
+ }
+ }
+ //
+ if (anECounter > 0) {
+ di << "\n\nSugestions to fix the shape:\n";
+ di << "explode " << a[1] << " e;\n";
+ //
+ TopTools_MapOfShape M;
+ aExpE.Init(aS, TopAbs_EDGE);
+ for (anECounter = 0; aExpE.More(); aExpE.Next()) {
+ const TopoDS_Shape& aE = aExpE.Current();
+ if (!M.Add(aE)) {
+ continue;
+ }
+ ++anECounter;
+ //
+ if (!aDMETol.IsBound(aE)) {
+ continue;
+ }
+ //
+ aTolE = aDMETol.Find(aE);
+ aTolE *= 1.001;
+ sprintf(buf, "settolerance %s_%d %3.16f;\n", a[1], anECounter, aTolE);
+ di << buf;
+ }
+ }
+ else {
+ di << "This shape seems to be OK.\n";
+ }
+ //
+ return 0;
+}
Wire from TopoDS,
Shell from TopoDS,
Solid from TopoDS,
+ Curve from Geom,
+ Curve from Geom2d,
+ Surface from Geom,
--
BaseAllocator from BOPCol,
ListOfShape from BOPCol,
returns Boolean from Standard;
---Purpose: Returns true if the solid <theSolid> is inverted
+ ComputeTolerance(myclass;
+ theCurve3D : Curve from Geom;
+ theCurve2D : Curve from Geom2d;
+ theSurf : Surface from Geom;
+ theFirst : Real from Standard;
+ theLast : Real from Standard;
+ theMaxDist : out Real from Standard;
+ theMaxPar : out Real from Standard)
+ returns Boolean from Standard;
+ ---Purpose:
+ -- Computes the max distance between points
+ -- taken from 3D and 2D curves by the same parameter
+
+ ComputeTolerance(myclass;
+ theFace : Face from TopoDS;
+ theEdge : Edge from TopoDS;
+ theMaxDist : out Real from Standard;
+ theMaxPar : out Real from Standard)
+ returns Boolean from Standard;
+ ---Purpose:
+ -- Computes the neccessary value of the tolerance for the edge
+
end AlgoTools;
static
void UpdateVertices(const TopoDS_Edge& aE);
+
+//=======================================================================
+//class : BOPTools_CheckCurveOnSurface
+//purpose : it is used to check the curve on the surface
+//=======================================================================
+#include <math_GlobOptMin.hxx>
+#include <math_MultipleVarFunctionWithHessian.hxx>
+#include <math_Matrix.hxx>
+#include <Geom2d_TrimmedCurve.hxx>
+
+class BOPTools_CheckCurveOnSurface :
+ public math_MultipleVarFunctionWithHessian
+{
+ public:
+ BOPTools_CheckCurveOnSurface(BOPTools_CheckCurveOnSurface&);
+ BOPTools_CheckCurveOnSurface(const Handle(Geom_Curve)& theC3D,
+ const Handle(Geom2d_Curve)& theC2D,
+ const Handle(Geom_Surface)& theSurf)
+ :
+ my3DCurve(theC3D),
+ my2DCurve(theC2D),
+ mySurf(theSurf)
+ {
+ }
+ //
+ virtual Standard_Integer NbVariables() const {
+ return 1;
+ }
+ //
+ virtual Standard_Boolean Value(const math_Vector& theX,
+ Standard_Real& theFVal) {
+ try {
+ const Standard_Real aPar = theX(1);
+ gp_Pnt aP1, aP2;
+ gp_Pnt2d aP2d;
+ my3DCurve->D0(aPar, aP1);
+ my2DCurve->D0(aPar, aP2d);
+ mySurf->D0(aP2d.X(), aP2d.Y(), aP2);
+ //
+ theFVal = -1.0*aP1.SquareDistance(aP2);
+ }
+ catch(...) {
+ return Standard_False;
+ }
+ //
+ return Standard_True;
+ }
+ //
+ virtual Standard_Integer GetStateNumber() {
+ return 0;
+ }
+ //
+ virtual Standard_Boolean Gradient(const math_Vector& theX,
+ math_Vector& theGrad) {
+ try {
+ const Standard_Real aPar = theX(1);
+
+ gp_Pnt aP1, aP2;
+ gp_Vec aDC3D, aDSU, aDSV;
+ gp_Pnt2d aP2d;
+ gp_Vec2d aDC2D;
+
+ my3DCurve->D1(aPar, aP1, aDC3D);
+ my2DCurve->D1(aPar, aP2d, aDC2D);
+ mySurf->D1(aP2d.X(), aP2d.Y(), aP2, aDSU, aDSV);
+
+ aP1.SetXYZ(aP1.XYZ() - aP2.XYZ());
+ aP2.SetXYZ(aDC3D.XYZ() - aDC2D.X()*aDSU.XYZ() - aDC2D.Y()*aDSV.XYZ());
+
+ theGrad(1) = -2.0*aP1.XYZ().Dot(aP2.XYZ());
+ }
+ catch(...) {
+ return Standard_False;
+ }
+
+ return Standard_True;
+ }
+ //
+ virtual Standard_Boolean Values(const math_Vector& theX,
+ Standard_Real& theVal,
+ math_Vector& theGrad) {
+ if(!Value(theX, theVal))
+ return Standard_False;
+
+ if(!Gradient(theX, theGrad))
+ return Standard_False;
+
+ return Standard_True;
+ }
+ //
+ virtual Standard_Boolean Values(const math_Vector& theX,
+ Standard_Real& theVal,
+ math_Vector& theGrad,
+ math_Matrix& theHessian) {
+ if(!Value(theX, theVal))
+ return Standard_False;
+
+ if(!Gradient(theX, theGrad))
+ return Standard_False;
+
+ theHessian(1,1) = theGrad(1);
+
+ return Standard_True;
+ }
+ //
+ private:
+ Handle(Geom_Curve) my3DCurve;
+ Handle(Geom2d_Curve) my2DCurve;
+ Handle(Geom_Surface) mySurf;
+};
+//=======================================================================
+
//=======================================================================
// Function : CorrectTolerances
// purpose :
}
}
}
+
+//=======================================================================
+// Function : ComputeTolerance
+// purpose :
+//=======================================================================
+Standard_Boolean BOPTools_AlgoTools::ComputeTolerance
+ (const Handle(Geom_Curve)& theCurve3D,
+ const Handle(Geom2d_Curve)& theCurve2D,
+ const Handle(Geom_Surface)& theSurf,
+ const Standard_Real theFirst,
+ const Standard_Real theLast,
+ Standard_Real& theMaxDist,
+ Standard_Real& theMaxPar)
+{
+ if (theCurve3D.IsNull() ||
+ theCurve2D.IsNull() ||
+ theSurf.IsNull()) {
+ return Standard_False;
+ }
+ //
+ try {
+ const Standard_Integer aNbParticles = 100;
+ //
+ BOPTools_CheckCurveOnSurface aFunc(theCurve3D, theCurve2D, theSurf);
+ //
+ math_Vector anOutputParam(1, 1);
+ anOutputParam(1) = theFirst;
+ //
+ theMaxDist = 0.;
+ theMaxPar = anOutputParam(1);
+ aFunc.Value(anOutputParam, theMaxDist);
+ //
+ Standard_Real aValue = 0.;
+ math_Vector aFirstV(1, 1), aLastV(1, 1), aStepV(1, 1);
+ aFirstV(1) = theFirst;
+ aLastV(1) = theLast;
+ aStepV = (aLastV - aFirstV)/(100.0*aNbParticles);
+ //
+ math_GlobOptMin aFinder(&aFunc, aFirstV, aLastV);
+ aFinder.SetTol(1.0e-2, 1.0e-3);
+ aFinder.Perform();
+ //
+ Standard_Integer i, aNbExtr = aFinder.NbExtrema();
+ for(i = 1; i <= aNbExtr; i++) {
+ aFinder.Points(i, anOutputParam);
+ aFunc.Value(anOutputParam, aValue);
+ aValue = sqrt(Abs(aValue));
+ //
+ if(aValue > theMaxDist) {
+ theMaxDist = aValue;
+ theMaxPar = anOutputParam(1);
+ }
+ }
+ }
+ catch (...) {
+ return Standard_False;
+ }
+ //
+ return Standard_True;
+}
+
+//=======================================================================
+// Function : ComputeTolerance
+// purpose :
+//=======================================================================
+Standard_Boolean BOPTools_AlgoTools::ComputeTolerance
+ (const TopoDS_Face& theFace,
+ const TopoDS_Edge& theEdge,
+ Standard_Real& theMaxDist,
+ Standard_Real& theParameter)
+{
+ Standard_Boolean bRet;
+ Standard_Real aT, aD, aFirst, aLast;
+ TopLoc_Location aLocC, aLocS;
+ //
+ theMaxDist = 0.;
+ theParameter = 0.;
+ bRet = Standard_False;
+ //
+ const Handle(BRep_TEdge)& aTE = *((Handle(BRep_TEdge)*)&theEdge.TShape());
+ //The edge is considered to be same range and not degenerated
+ if ((!aTE->SameRange() && aTE->SameParameter()) ||
+ aTE->Degenerated()) {
+ return bRet;
+ }
+ //
+ Handle(Geom_Curve) aC = Handle(Geom_Curve)::
+ DownCast(BRep_Tool::Curve(theEdge, aLocC, aFirst, aLast)->Copy());
+ aC = new Geom_TrimmedCurve(aC, aFirst, aLast);
+ aC->Transform(aLocC.Transformation());
+ //
+ const Handle(Geom_Surface)& aSurfF = BRep_Tool::Surface(theFace, aLocS);
+ const Handle(Geom_Surface)& aSurf = Handle(Geom_Surface)::
+ DownCast(aSurfF->Copy()->Transformed(aLocS.Transformation()));
+ //
+ Standard_Boolean isPCurveFound = Standard_False;
+ BRep_ListIteratorOfListOfCurveRepresentation itcr(aTE->Curves());
+ for (; itcr.More(); itcr.Next()) {
+ const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
+ if (!(cr->IsCurveOnSurface(aSurfF, aLocS.Predivided(theEdge.Location())))) {
+ continue;
+ }
+ isPCurveFound = Standard_True;
+ //
+ Handle(Geom2d_Curve) aC2d = Handle(Geom2d_Curve)::
+ DownCast(cr->PCurve()->Copy());
+ aC2d = new Geom2d_TrimmedCurve(aC2d, aFirst, aLast);
+ //
+ if(BOPTools_AlgoTools::ComputeTolerance
+ (aC, aC2d, aSurf, aFirst, aLast, aD, aT)) {
+ bRet = Standard_True;
+ if (aD > theMaxDist) {
+ theMaxDist = aD;
+ theParameter = aT;
+ }
+ }
+ //
+ if (cr->IsCurveOnClosedSurface()) {
+ Handle(Geom2d_Curve) aC2d = Handle(Geom2d_Curve)::
+ DownCast(cr->PCurve2()->Copy());
+ aC2d = new Geom2d_TrimmedCurve(aC2d, aFirst, aLast);
+ //
+ if(BOPTools_AlgoTools::ComputeTolerance
+ (aC, aC2d, aSurf, aFirst, aLast, aD, aT)) {
+ bRet = Standard_True;
+ if (aD > theMaxDist) {
+ theMaxDist = aD;
+ theParameter = aT;
+ }
+ }
+ }
+ }
+ //
+ if (isPCurveFound) {
+ return bRet;
+ }
+ //
+ Handle(Geom_Plane) aPlane;
+ Handle(Standard_Type) dtyp = aSurf->DynamicType();
+ //
+ if (dtyp == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
+ aPlane = Handle(Geom_Plane)::
+ DownCast(Handle(Geom_RectangularTrimmedSurface)::
+ DownCast(aSurf)->BasisSurface()->Copy());
+ }
+ else {
+ aPlane = Handle(Geom_Plane)::DownCast(aSurf->Copy());
+ }
+ //
+ if (aPlane.IsNull()) { // not a plane
+ return bRet;
+ }
+ //
+ aPlane = Handle(Geom_Plane)::DownCast(aPlane);//
+ //
+ Handle(GeomAdaptor_HSurface) GAHS = new GeomAdaptor_HSurface(aPlane);
+ Handle(Geom_Curve) ProjOnPlane =
+ GeomProjLib::ProjectOnPlane (new Geom_TrimmedCurve(aC, aFirst, aLast),
+ aPlane, aPlane->Position().Direction(),
+ Standard_True);
+ Handle(GeomAdaptor_HCurve) aHCurve = new GeomAdaptor_HCurve(ProjOnPlane);
+ //
+ ProjLib_ProjectedCurve proj(GAHS,aHCurve);
+ Handle(Geom2d_Curve) aC2d = Geom2dAdaptor::MakeCurve(proj);
+ //
+ if(BOPTools_AlgoTools::ComputeTolerance
+ (aC, aC2d, aPlane, aFirst, aLast, aD, aT)) {
+ bRet = Standard_True;
+ if (aD > theMaxDist) {
+ theMaxDist = aD;
+ theParameter = aT;
+ }
+ }
+ //
+ return bRet;
+}
\ No newline at end of file
math_Recipes.hxx
math_GaussPoints.hxx
math_Kronrod.cxx
+math_Vector.hxx
+math_Vector.cxx
+math_IntegerVector.hxx
+math_IntegerVector.cxx
+math_SingleTab.hxx
+math_GlobOptMin.hxx
+math_GlobOptMin.cxx
exception SingularMatrix inherits Failure;
- class Vector;
- class IntegerVector;
+ imported Vector;
+ imported IntegerVector;
class Matrix;
deferred class Function;
deferred class FunctionWithDerivative;
deferred class MultipleVarFunctionWithHessian;
deferred class FunctionSet;
deferred class FunctionSetWithDerivatives;
+ imported GlobOptMin;
class IntegerRandom;
class Gauss;
class GaussLeastSquare;
Array1OfValueAndWeight from math,
CompareOfValueAndWeight from math);
- generic class SingleTab;
- generic class DoubleTab;
-
- --- Instantiate classes:
- class SingleTabOfReal instantiates SingleTab(Real);
- class SingleTabOfInteger instantiates SingleTab(Integer);
- class DoubleTabOfReal instantiates DoubleTab(Real);
+ class DoubleTab;
--- Gauss Points
-- Alternatively, this file may be used under the terms of Open CASCADE
-- commercial license or contractual agreement.
-generic class DoubleTab from math (Item as any)
+class DoubleTab from math
uses Address from Standard
is
Create(LowerRow, UpperRow, LowerCol, UpperCol: Integer)
returns DoubleTab;
- Create(Tab : Item; LowerRow, UpperRow, LowerCol, UpperCol: Integer)
+ Create(Tab : Address; LowerRow, UpperRow, LowerCol, UpperCol: Integer)
returns DoubleTab;
- Init(me : in out; InitValue: Item) is static;
+ Init(me : in out; InitValue: Real) is static;
Create(Other: DoubleTab)
returns DoubleTab;
---C++: alias operator()
---C++: return &
---C++: inline
- returns Item
+ returns Real
is static;
Addr : Address;
AddrBuf : Address[32];
-Buf : Item[512];
+Buf : Real[512];
isAddrAllocated: Boolean;
isAllocated : Boolean;
LowR : Integer;
--- /dev/null
+// Copyright (c) 1997-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+// Lpa, le 7/02/92
+#include <math_DoubleTab.ixx>
+
+#include <math_Memory.hxx>
+#include <Standard_OutOfRange.hxx>
+#include <Standard_Failure.hxx>
+#include <Standard_Integer.hxx>
+
+// macro to get size of C array
+#define CARRAY_LENGTH(arr) (int)(sizeof(arr)/sizeof(arr[0]))
+
+void math_DoubleTab::Allocate()
+{
+ Standard_Integer RowNumber = UppR - LowR + 1;
+ Standard_Integer ColNumber = UppC - LowC + 1;
+
+ Standard_Real** TheAddr = !isAddrAllocated? (Standard_Real**)&AddrBuf :
+ (Standard_Real**) Standard::Allocate(RowNumber * sizeof(Standard_Real*));
+ Standard_Real* Address;
+ if(isAllocated)
+ Address = (Standard_Real*) Standard::Allocate(RowNumber * ColNumber * sizeof(Standard_Real));
+ else
+ Address = (Standard_Real*) Addr;
+ Address -= LowC;
+
+ for (Standard_Integer Index = 0; Index < RowNumber; Index++) {
+ TheAddr[Index] = Address;
+ Address += ColNumber;
+ }
+
+ TheAddr -= LowR;
+ Addr = (Standard_Address) TheAddr;
+}
+
+math_DoubleTab::math_DoubleTab(const Standard_Integer LowerRow,
+ const Standard_Integer UpperRow,
+ const Standard_Integer LowerCol,
+ const Standard_Integer UpperCol) :
+ Addr(Buf),
+ isAddrAllocated(UpperRow - LowerRow + 1 > CARRAY_LENGTH(AddrBuf)),
+ isAllocated((UpperRow - LowerRow + 1) * (UpperCol - LowerCol + 1) > CARRAY_LENGTH(Buf)),
+ LowR(LowerRow),
+ UppR(UpperRow),
+ LowC(LowerCol),
+ UppC(UpperCol)
+{
+ Allocate();
+}
+
+math_DoubleTab::math_DoubleTab(const Standard_Address Tab,
+ const Standard_Integer LowerRow,
+ const Standard_Integer UpperRow,
+ const Standard_Integer LowerCol,
+ const Standard_Integer UpperCol) :
+ Addr(Tab),
+ isAddrAllocated(UpperRow - LowerRow + 1 > CARRAY_LENGTH(AddrBuf)),
+ isAllocated(Standard_False),
+ LowR(LowerRow),
+ UppR(UpperRow),
+ LowC(LowerCol),
+ UppC(UpperCol)
+{
+ Allocate();
+}
+
+void math_DoubleTab::Init(const Standard_Real InitValue)
+{
+ for (Standard_Integer i = LowR; i <= UppR; i++) {
+ for (Standard_Integer j = LowC; j <= UppC; j++) {
+ ((Standard_Real**) Addr)[i][j] = InitValue;
+ }
+ }
+}
+
+math_DoubleTab::math_DoubleTab(const math_DoubleTab& Other) :
+ Addr(Buf),
+ isAddrAllocated(Other.UppR - Other.LowR + 1 > CARRAY_LENGTH(AddrBuf)),
+ isAllocated((Other.UppR - Other.LowR + 1) *
+ (Other.UppC - Other.LowC + 1) > CARRAY_LENGTH(Buf)),
+ LowR(Other.LowR),
+ UppR(Other.UppR),
+ LowC(Other.LowC),
+ UppC(Other.UppC)
+{
+ Allocate();
+
+ Standard_Address target = (Standard_Address) &Value(LowR,LowC);
+ Standard_Address source = (Standard_Address) &Other.Value(LowR,LowC);
+
+ memmove(target,source,
+ (int)((UppR - LowR + 1) * (UppC - LowC + 1) * sizeof(Standard_Real)));
+
+}
+
+void math_DoubleTab::Free()
+{
+ // free the data
+ if(isAllocated) {
+ Standard_Address it = (Standard_Address)&Value(LowR,LowC);
+ Standard::Free(it);
+ }
+ // free the pointers
+ if(isAddrAllocated) {
+ Standard_Address it = (Standard_Address)(((Standard_Real**)Addr) + LowR);
+ Standard::Free (it);
+ }
+ Addr = 0;
+}
+
+void math_DoubleTab::SetLowerRow(const Standard_Integer LowerRow)
+{
+ Standard_Real** TheAddr = (Standard_Real**)Addr;
+ Addr = (Standard_Address) (TheAddr + LowR - LowerRow);
+ UppR = UppR - LowR + LowerRow;
+ LowR = LowerRow;
+}
+
+void math_DoubleTab::SetLowerCol(const Standard_Integer LowerCol)
+{
+ Standard_Real** TheAddr = (Standard_Real**) Addr;
+ for (Standard_Integer Index = LowR; Index <= UppR; Index++) {
+ TheAddr[Index] = TheAddr[Index] + LowC - LowerCol;
+ }
+
+ UppC = UppC - LowC + LowerCol;
+ LowC = LowerCol;
+}
+
#include <math_Memory.hxx>
#include <Standard_OutOfRange.hxx>
-inline Item& math_DoubleTab::Value (const Standard_Integer RowIndex,
+inline Standard_Real& math_DoubleTab::Value (const Standard_Integer RowIndex,
const Standard_Integer ColIndex) const
{
- return ((Item**)Addr)[RowIndex][ColIndex];
+ return ((Standard_Real**)Addr)[RowIndex][ColIndex];
}
{
memmove((void*)(& Other.Value(Other.LowR,Other.LowC)),
(void*) (& Value(LowR,LowC)),
- (int)((UppR - LowR + 1) * (UppC - LowC + 1) * sizeof(Item)));
+ (int)((UppR - LowR + 1) * (UppC - LowC + 1) * sizeof(Standard_Real)));
}
--- /dev/null
+// Created on: 2014-01-20
+// Created by: Alexaner Malyshev
+// Copyright (c) 2014-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement
+
+#include <math_GlobOptMin.hxx>
+
+#include <math_BFGS.hxx>
+#include <math_Matrix.hxx>
+#include <math_MultipleVarFunctionWithGradient.hxx>
+#include <math_MultipleVarFunctionWithHessian.hxx>
+#include <math_NewtonMinimum.hxx>
+#include <math_Powell.hxx>
+#include <Standard_Integer.hxx>
+#include <Standard_Real.hxx>
+
+const Handle(Standard_Type)& STANDARD_TYPE(math_GlobOptMin)
+{
+ static Handle(Standard_Type) _atype = new Standard_Type ("math_GlobOptMin", sizeof (math_GlobOptMin));
+ return _atype;
+}
+
+//=======================================================================
+//function : math_GlobOptMin
+//purpose : Constructor
+//=======================================================================
+math_GlobOptMin::math_GlobOptMin(math_MultipleVarFunction* theFunc,
+ const math_Vector& theA,
+ const math_Vector& theB,
+ const Standard_Real theC,
+ const Standard_Real theDiscretizationTol,
+ const Standard_Real theSameTol)
+: myN(theFunc->NbVariables()),
+ myA(1, myN),
+ myB(1, myN),
+ myGlobA(1, myN),
+ myGlobB(1, myN),
+ myX(1, myN),
+ myTmp(1, myN),
+ myV(1, myN),
+ myMaxV(1, myN)
+{
+ Standard_Integer i;
+
+ myFunc = theFunc;
+ myC = theC;
+ myZ = -1;
+ mySolCount = 0;
+
+ for(i = 1; i <= myN; i++)
+ {
+ myGlobA(i) = theA(i);
+ myGlobB(i) = theB(i);
+
+ myA(i) = theA(i);
+ myB(i) = theB(i);
+ }
+
+ for(i = 1; i <= myN; i++)
+ {
+ myMaxV(i) = (myB(i) - myA(i)) / 3.0;
+ }
+
+ myTol = theDiscretizationTol;
+ mySameTol = theSameTol;
+
+ myDone = Standard_False;
+}
+
+//=======================================================================
+//function : SetGlobalParams
+//purpose : Set params without memory allocation.
+//=======================================================================
+void math_GlobOptMin::SetGlobalParams(math_MultipleVarFunction* theFunc,
+ const math_Vector& theA,
+ const math_Vector& theB,
+ const Standard_Real theC,
+ const Standard_Real theDiscretizationTol,
+ const Standard_Real theSameTol)
+{
+ Standard_Integer i;
+
+ myFunc = theFunc;
+ myC = theC;
+ myZ = -1;
+ mySolCount = 0;
+
+ for(i = 1; i <= myN; i++)
+ {
+ myGlobA(i) = theA(i);
+ myGlobB(i) = theB(i);
+
+ myA(i) = theA(i);
+ myB(i) = theB(i);
+ }
+
+ myTol = theDiscretizationTol;
+ mySameTol = theSameTol;
+
+ myDone = Standard_False;
+}
+
+//=======================================================================
+//function : SetLocalParams
+//purpose : Set params without memory allocation.
+//=======================================================================
+void math_GlobOptMin::SetLocalParams(const math_Vector& theLocalA,
+ const math_Vector& theLocalB)
+{
+ Standard_Integer i;
+
+ myZ = -1;
+ mySolCount = 0;
+
+ for(i = 1; i <= myN; i++)
+ {
+ myA(i) = theLocalA(i);
+ myB(i) = theLocalB(i);
+ }
+
+ for(i = 1; i <= myN; i++)
+ {
+ myMaxV(i) = (myB(i) - myA(i)) / 3.0;
+ }
+
+ myDone = Standard_False;
+}
+
+//=======================================================================
+//function : SetTol
+//purpose : Set algorithm tolerances.
+//=======================================================================
+void math_GlobOptMin::SetTol(const Standard_Real theDiscretizationTol,
+ const Standard_Real theSameTol)
+{
+ myTol = theDiscretizationTol;
+ mySameTol = theSameTol;
+}
+
+//=======================================================================
+//function : GetTol
+//purpose : Get algorithm tolerances.
+//=======================================================================
+void math_GlobOptMin::GetTol(Standard_Real& theDiscretizationTol,
+ Standard_Real& theSameTol)
+{
+ theDiscretizationTol = myTol;
+ theSameTol = mySameTol;
+}
+
+//=======================================================================
+//function : ~math_GlobOptMin
+//purpose :
+//=======================================================================
+math_GlobOptMin::~math_GlobOptMin()
+{
+}
+
+//=======================================================================
+//function : Perform
+//purpose : Compute Global extremum point
+//=======================================================================
+// In this algo indexes started from 1, not from 0.
+void math_GlobOptMin::Perform()
+{
+ Standard_Integer i;
+
+ // Compute initial values for myF, myY, myC.
+ computeInitialValues();
+
+ // Compute parameters range
+ Standard_Real minLength = RealLast();
+ Standard_Real maxLength = RealFirst();
+ for(i = 1; i <= myN; i++)
+ {
+ Standard_Real currentLength = myB(i) - myA(i);
+ if (currentLength < minLength)
+ minLength = currentLength;
+ if (currentLength > maxLength)
+ maxLength = currentLength;
+ }
+
+ myE1 = minLength * myTol;
+ myE2 = maxLength * myTol;
+ if (myC > 1.0)
+ myE3 = - maxLength * myTol / 4.0;
+ else
+ myE3 = - maxLength * myTol * myC / 4.0;
+
+ computeGlobalExtremum(myN);
+
+ myDone = Standard_True;
+}
+
+//=======================================================================
+//function : computeLocalExtremum
+//purpose :
+//=======================================================================
+Standard_Boolean math_GlobOptMin::computeLocalExtremum(const math_Vector& thePnt,
+ Standard_Real& theVal,
+ math_Vector& theOutPnt)
+{
+ Standard_Integer i;
+
+ //Newton method
+ if (dynamic_cast<math_MultipleVarFunctionWithHessian*>(myFunc))
+ {
+ math_MultipleVarFunctionWithHessian* myTmp =
+ dynamic_cast<math_MultipleVarFunctionWithHessian*> (myFunc);
+
+ math_NewtonMinimum newtonMinimum(*myTmp, thePnt);
+ if (newtonMinimum.IsDone())
+ {
+ newtonMinimum.Location(theOutPnt);
+ theVal = newtonMinimum.Minimum();
+ }
+ else return Standard_False;
+ } else
+
+ // BFGS method used.
+ if (dynamic_cast<math_MultipleVarFunctionWithGradient*>(myFunc))
+ {
+ math_MultipleVarFunctionWithGradient* myTmp =
+ dynamic_cast<math_MultipleVarFunctionWithGradient*> (myFunc);
+ math_BFGS bfgs(*myTmp, thePnt);
+ if (bfgs.IsDone())
+ {
+ bfgs.Location(theOutPnt);
+ theVal = bfgs.Minimum();
+ }
+ else return Standard_False;
+ } else
+
+ // Powell method used.
+ if (dynamic_cast<math_MultipleVarFunction*>(myFunc))
+ {
+ math_Matrix m(1, myN, 1, myN, 0.0);
+ for(i = 1; i <= myN; i++)
+ m(1, 1) = 1.0;
+
+ math_Powell powell(*myFunc, thePnt, m, 1e-10);
+
+ if (powell.IsDone())
+ {
+ powell.Location(theOutPnt);
+ theVal = powell.Minimum();
+ }
+ else return Standard_False;
+ }
+
+ if (isInside(theOutPnt))
+ return Standard_True;
+ else
+ return Standard_False;
+}
+
+//=======================================================================
+//function : computeInitialValues
+//purpose :
+//=======================================================================
+void math_GlobOptMin::computeInitialValues()
+{
+ Standard_Integer i;
+ math_Vector aCurrPnt(1, myN);
+ math_Vector aBestPnt(1, myN);
+
+ Standard_Real aCurrVal = RealLast();
+ Standard_Real aBestVal = RealLast();
+
+ // Check functional value in midpoint, low and upp point border and
+ // in each point try to perform local optimization.
+ aBestPnt = (myA + myB) * 0.5;
+ myFunc->Value(aBestPnt, aBestVal);
+
+ for(i = 1; i <= 3; i++)
+ {
+ aCurrPnt = myA + (myB - myA) * (i - 1) / 2.0;
+
+ if(computeLocalExtremum(aCurrPnt, aCurrVal, aCurrPnt))
+ {
+ // Local Extremum finds better solution than current point.
+ if (aCurrVal < aBestVal)
+ {
+ aBestVal = aCurrVal;
+ aBestPnt = aCurrPnt;
+ }
+ }
+ }
+
+ myF = aBestVal;
+ myY.Clear();
+ for(i = 1; i <= myN; i++)
+ myY.Append(aBestPnt(i));
+ mySolCount++;
+
+ // Lipschitz const approximation
+ Standard_Real aLipConst = 0.0, aPrevVal;
+ Standard_Integer aPntNb = 13;
+ myFunc->Value(myA, aPrevVal);
+ Standard_Real aStep = (myB - myA).Norm() / aPntNb;
+ for(i = 1; i <= aPntNb; i++)
+ {
+ aCurrPnt = myA + (myB - myA) * i / (aPntNb - 1);
+ myFunc->Value(aCurrPnt, aCurrVal);
+
+ if(Abs(aCurrVal - aPrevVal) / aStep > aLipConst)
+ aLipConst = Abs(aCurrVal - aPrevVal) / aStep;
+
+ aPrevVal = aCurrVal;
+ }
+ aLipConst *= Sqrt(myN);
+
+ if (aLipConst < myC * 0.1)
+ {
+ myC = Max(aLipConst * 0.1, 0.01);
+ }
+ else if (aLipConst > myC * 10)
+ {
+ myC = Min(myC * 2, 30.0);
+ }
+}
+
+//=======================================================================
+//function : ComputeGlobalExtremum
+//purpose :
+//=======================================================================
+void math_GlobOptMin::computeGlobalExtremum(Standard_Integer j)
+{
+ Standard_Integer i;
+ Standard_Real d; // Functional in moved point.
+ Standard_Real val = RealLast(); // Local extrema computed in moved point.
+ Standard_Real stepBestValue = RealLast();
+ Standard_Real realStep = RealLast();
+ math_Vector stepBestPoint(1, myN);
+ Standard_Boolean isInside = Standard_False;
+ Standard_Real r;
+
+
+ for(myX(j) = myA(j) + myE1; myX(j) < myB(j) + myE1; myX(j) += myV(j))
+ {
+ if (myX(j) > myB(j))
+ myX(j) = myB(j);
+
+ if (j == 1)
+ {
+ isInside = Standard_False;
+ myFunc->Value(myX, d);
+ r = (d - myF) * myZ;
+ if(r > myE3)
+ {
+ isInside = computeLocalExtremum(myX, val, myTmp);
+ }
+ stepBestValue = (isInside && (val < d))? val : d;
+ stepBestPoint = (isInside && (val < d))? myTmp : myX;
+
+ // Solutions are close to each other.
+ if (Abs(stepBestValue - myF) < mySameTol * 0.01)
+ {
+ if (!isStored(stepBestPoint))
+ {
+ if ((stepBestValue - myF) * myZ > 0.0)
+ myF = stepBestValue;
+ for(i = 1; i <= myN; i++)
+ myY.Append(stepBestPoint(i));
+ mySolCount++;
+ }
+ }
+
+ // New best solution.
+ if ((stepBestValue - myF) * myZ > mySameTol * 0.01)
+ {
+ mySolCount = 0;
+ myF = stepBestValue;
+ myY.Clear();
+ for(i = 1; i <= myN; i++)
+ myY.Append(stepBestPoint(i));
+ mySolCount++;
+ }
+
+ realStep = myE2 + Abs(myF - d) / myC;
+ myV(1) = Min(realStep, myMaxV(1));
+ }
+ else
+ {
+ myV(j) = RealLast() / 2.0;
+ computeGlobalExtremum(j - 1);
+ }
+ if ((j < myN) && (myV(j + 1) > realStep))
+ {
+ if (realStep > myMaxV(j + 1)) // Case of too big step.
+ myV(j + 1) = myMaxV(j + 1);
+ else
+ myV(j + 1) = realStep;
+ }
+ }
+}
+
+//=======================================================================
+//function : IsInside
+//purpose :
+//=======================================================================
+Standard_Boolean math_GlobOptMin::isInside(const math_Vector& thePnt)
+{
+ Standard_Integer i;
+
+ for(i = 1; i <= myN; i++)
+ {
+ if (thePnt(i) < myGlobA(i) || thePnt(i) > myGlobB(i))
+ return Standard_False;
+ }
+
+ return Standard_True;
+}
+//=======================================================================
+//function : IsStored
+//purpose :
+//=======================================================================
+Standard_Boolean math_GlobOptMin::isStored(const math_Vector& thePnt)
+{
+ Standard_Integer i,j;
+ Standard_Boolean isSame = Standard_True;
+
+ for(i = 0; i < mySolCount; i++)
+ {
+ isSame = Standard_True;
+ for(j = 1; j <= myN; j++)
+ {
+ if ((Abs(thePnt(j) - myY(i * myN + j))) > (myB(j) - myA(j)) * mySameTol)
+ {
+ isSame = Standard_False;
+ break;
+ }
+ }
+ if (isSame == Standard_True)
+ return Standard_True;
+
+ }
+ return Standard_False;
+}
+
+//=======================================================================
+//function : NbExtrema
+//purpose :
+//=======================================================================
+Standard_Integer math_GlobOptMin::NbExtrema()
+{
+ return mySolCount;
+}
+
+//=======================================================================
+//function : GetF
+//purpose :
+//=======================================================================
+Standard_Real math_GlobOptMin::GetF()
+{
+ return myF;
+}
+
+//=======================================================================
+//function : IsDone
+//purpose :
+//=======================================================================
+Standard_Boolean math_GlobOptMin::isDone()
+{
+ return myDone;
+}
+
+//=======================================================================
+//function : Points
+//purpose :
+//=======================================================================
+void math_GlobOptMin::Points(const Standard_Integer theIndex, math_Vector& theSol)
+{
+ Standard_Integer j;
+
+ for(j = 1; j <= myN; j++)
+ theSol(j) = myY((theIndex - 1) * myN + j);
+}
--- /dev/null
+// Created on: 2014-01-20
+// Created by: Alexaner Malyshev
+// Copyright (c) 2014-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#ifndef _math_GlobOptMin_HeaderFile
+#define _math_GlobOptMin_HeaderFile
+
+#include <math_MultipleVarFunction.hxx>
+#include <NCollection_Sequence.hxx>
+#include <Standard_Type.hxx>
+
+//! This class represents Evtushenko's algorithm of global optimization based on nonuniform mesh.<br>
+//! Article: Yu. Evtushenko. Numerical methods for finding global extreme (case of a non-uniform mesh). <br>
+//! U.S.S.R. Comput. Maths. Math. Phys., Vol. 11, N 6, pp. 38-54.
+
+class math_GlobOptMin
+{
+public:
+
+ Standard_EXPORT math_GlobOptMin(math_MultipleVarFunction* theFunc,
+ const math_Vector& theA,
+ const math_Vector& theB,
+ const Standard_Real theC = 9,
+ const Standard_Real theDiscretizationTol = 1.0e-2,
+ const Standard_Real theSameTol = 1.0e-7);
+
+ Standard_EXPORT void SetGlobalParams(math_MultipleVarFunction* theFunc,
+ const math_Vector& theA,
+ const math_Vector& theB,
+ const Standard_Real theC = 9,
+ const Standard_Real theDiscretizationTol = 1.0e-2,
+ const Standard_Real theSameTol = 1.0e-7);
+
+ Standard_EXPORT void SetLocalParams(const math_Vector& theLocalA,
+ const math_Vector& theLocalB);
+
+ Standard_EXPORT void SetTol(const Standard_Real theDiscretizationTol,
+ const Standard_Real theSameTol);
+
+ Standard_EXPORT void GetTol(Standard_Real& theDiscretizationTol,
+ Standard_Real& theSameTol);
+
+ Standard_EXPORT ~math_GlobOptMin();
+
+ Standard_EXPORT void Perform();
+
+ //! Get best functional value.
+ Standard_EXPORT Standard_Real GetF();
+
+ //! Return count of global extremas.
+ Standard_EXPORT Standard_Integer NbExtrema();
+
+ //! Return solution i, 1 <= i <= NbExtrema.
+ Standard_EXPORT void Points(const Standard_Integer theIndex, math_Vector& theSol);
+
+ Standard_Boolean isDone();
+
+private:
+
+ math_GlobOptMin & operator = (const math_GlobOptMin & theOther);
+
+ Standard_Boolean computeLocalExtremum(const math_Vector& thePnt, Standard_Real& theVal, math_Vector& theOutPnt);
+
+ void computeGlobalExtremum(Standard_Integer theIndex);
+
+ //! Computes starting value / approximation:
+ // myF - initial best value.
+ // myY - initial best point.
+ // myC - approximation of Lipschitz constant.
+ // to imporve convergence speed.
+ void computeInitialValues();
+
+ //! Check that myA <= pnt <= myB
+ Standard_Boolean isInside(const math_Vector& thePnt);
+
+ Standard_Boolean isStored(const math_Vector &thePnt);
+
+ // Input.
+ math_MultipleVarFunction* myFunc;
+ Standard_Integer myN;
+ math_Vector myA; // Left border on current C2 interval.
+ math_Vector myB; // Right border on current C2 interval.
+ math_Vector myGlobA; // Global left border.
+ math_Vector myGlobB; // Global right border.
+ Standard_Real myTol; // Discretization tolerance, default 1.0e-2.
+ Standard_Real mySameTol; // points with ||p1 - p2|| < mySameTol is equal,
+ // function values |val1 - val2| * 0.01 < mySameTol is equal,
+ // default value is 1.0e-7.
+ Standard_Real myC; //Lipschitz constant, default 9
+
+ // Output.
+ Standard_Boolean myDone;
+ NCollection_Sequence<Standard_Real> myY;// Current solutions.
+ Standard_Integer mySolCount; // Count of solutions.
+
+ // Algorithm data.
+ Standard_Real myZ;
+ Standard_Real myE1; // Border coeff.
+ Standard_Real myE2; // Minimum step size.
+ Standard_Real myE3; // Local extrema starting parameter.
+
+ math_Vector myX; // Current modified solution.
+ math_Vector myTmp; // Current modified solution.
+ math_Vector myV; // Steps array.
+ math_Vector myMaxV; // Max Steps array.
+
+ Standard_Real myF; // Current value of Global optimum.
+};
+
+const Handle(Standard_Type)& TYPE(math_GlobOptMin);
+
+#endif
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.
-//#ifndef DEB
#define No_Standard_RangeError
#define No_Standard_OutOfRange
#define No_Standard_DimensionError
-//#endif
-#include <math_IntegerVector.ixx>
+#include <math_IntegerVector.hxx>
#include <Standard_DimensionError.hxx>
#include <Standard_RangeError.hxx>
-
-
-math_IntegerVector::math_IntegerVector(const Standard_Integer First,
- const Standard_Integer Last):
- FirstIndex(First),
- LastIndex(Last),
- Array(First, Last) {
-
- Standard_RangeError_Raise_if(First > Last, " ");
+math_IntegerVector::math_IntegerVector(const Standard_Integer theFirst, const Standard_Integer theLast) :
+ FirstIndex(theFirst),
+ LastIndex(theLast),
+ Array(theFirst, theLast)
+{
+ Standard_RangeError_Raise_if(theFirst > theLast, " ");
}
-math_IntegerVector::math_IntegerVector(const Standard_Integer First,
- const Standard_Integer Last,
- const Standard_Integer InitialValue):
- FirstIndex(First),
- LastIndex(Last),
- Array(First, Last) {
-
- Standard_RangeError_Raise_if(First > Last, " ");
- Array.Init(InitialValue);
+math_IntegerVector::math_IntegerVector(const Standard_Integer theFirst,
+ const Standard_Integer theLast,
+ const Standard_Integer theInitialValue) :
+ FirstIndex(theFirst),
+ LastIndex(theLast),
+ Array(theFirst, theLast)
+{
+ Standard_RangeError_Raise_if(theFirst > theLast, " ");
+ Array.Init(theInitialValue);
}
-
-math_IntegerVector::math_IntegerVector(const Standard_Address Tab,
- const Standard_Integer First,
- const Standard_Integer Last) :
- FirstIndex(First),
- LastIndex(Last),
- Array(*((const Standard_Integer *)Tab),
- First, Last)
+math_IntegerVector::math_IntegerVector(const Standard_Address theTab,
+ const Standard_Integer theFirst,
+ const Standard_Integer theLast) :
+ FirstIndex(theFirst),
+ LastIndex(theLast),
+ Array(theTab, theFirst, theLast)
{
- Standard_RangeError_Raise_if(First > Last, " ");
+ Standard_RangeError_Raise_if(theFirst > theLast, " ");
}
-
-void math_IntegerVector::Init(const Standard_Integer InitialValue)
+void math_IntegerVector::Init(const Standard_Integer theInitialValue)
{
- Array.Init(InitialValue);
+ Array.Init(theInitialValue);
}
-
-math_IntegerVector::math_IntegerVector(const math_IntegerVector& Other):
-
- FirstIndex(Other.FirstIndex),
- LastIndex(Other.LastIndex),
- Array(Other.Array) {}
-
-
-
-void math_IntegerVector::SetFirst(const Standard_Integer First) {
-
- Array.SetLower(First);
- LastIndex = LastIndex - FirstIndex + First;
- FirstIndex = First;
+math_IntegerVector::math_IntegerVector(const math_IntegerVector& theOther) :
+ FirstIndex(theOther.FirstIndex),
+ LastIndex(theOther.LastIndex),
+ Array(theOther.Array)
+{
}
+void math_IntegerVector::SetFirst(const Standard_Integer theFirst)
+{
+ Array.SetLower(theFirst);
+ LastIndex = LastIndex - FirstIndex + theFirst;
+ FirstIndex = theFirst;
+}
-Standard_Real math_IntegerVector::Norm() const {
+Standard_Real math_IntegerVector::Norm() const
+{
Standard_Real Result = 0;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
Result = Result + Array(Index) * Array(Index);
}
return Sqrt(Result);
}
-
-Standard_Real math_IntegerVector::Norm2() const {
+Standard_Real math_IntegerVector::Norm2() const
+{
Standard_Real Result = 0;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
Result = Result + Array(Index) * Array(Index);
}
return Result;
}
-
-Standard_Integer math_IntegerVector::Max() const {
+Standard_Integer math_IntegerVector::Max() const
+{
Standard_Integer I=0;
Standard_Real X = RealFirst();
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- if(Array(Index) > X) {
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ if(Array(Index) > X)
+ {
X = Array(Index);
I = Index;
}
return I;
}
-
-Standard_Integer math_IntegerVector::Min() const {
+Standard_Integer math_IntegerVector::Min() const
+{
Standard_Integer I=0;
Standard_Real X = RealLast();
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- if(Array(Index) < X) {
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ if(Array(Index) < X)
+ {
X = Array(Index);
I = Index;
}
return I;
}
-
-void math_IntegerVector::Invert() {
-
+void math_IntegerVector::Invert()
+{
Standard_Integer J;
Standard_Integer Temp;
-
- for(Standard_Integer Index = FirstIndex;
- Index <= FirstIndex + Length() / 2 ; Index++) {
- J = LastIndex + FirstIndex - Index;
- Temp = Array(Index);
- Array(Index) = Array(J);
- Array(J) = Temp;
+
+ for(Standard_Integer Index = FirstIndex; Index <= FirstIndex + Length() / 2 ; Index++)
+ {
+ J = LastIndex + FirstIndex - Index;
+ Temp = Array(Index);
+ Array(Index) = Array(J);
+ Array(J) = Temp;
}
}
-
-math_IntegerVector math_IntegerVector::Inverse() const {
-
+math_IntegerVector math_IntegerVector::Inverse() const
+{
math_IntegerVector Result = *this;
Result.Invert();
return Result;
}
+void math_IntegerVector::Set(const Standard_Integer theI1,
+ const Standard_Integer theI2,
+ const math_IntegerVector &theV)
+{
+ Standard_DimensionError_Raise_if((theI1 < FirstIndex) || (theI2 > LastIndex) ||
+ (theI1 > theI2) || (theI2 - theI1 + 1 != theV.Length()), " ");
-void math_IntegerVector::Set(const Standard_Integer I1,
- const Standard_Integer I2,
- const math_IntegerVector &V) {
-
- Standard_DimensionError_Raise_if((I1 < FirstIndex) ||
- (I2 > LastIndex) ||
- (I1 > I2) ||
- (I2 - I1 + 1 != V.Length()), " ");
-
- Standard_Integer I = V.Lower();
- for(Standard_Integer Index = I1; Index <= I2; Index++) {
- Array(Index) = V.Array(I);
+ Standard_Integer I = theV.Lower();
+ for(Standard_Integer Index = theI1; Index <= theI2; Index++)
+ {
+ Array(Index) = theV.Array(I);
I++;
}
}
-
-void math_IntegerVector::Multiply(const Standard_Integer Right) {
-
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Array(Index) = Array(Index) * Right;
+void math_IntegerVector::Multiply(const Standard_Integer theRight)
+{
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Array(Index) = Array(Index) * theRight;
}
}
+void math_IntegerVector::Add(const math_IntegerVector& theRight)
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), " ");
-void math_IntegerVector::Add(const math_IntegerVector& Right) {
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), " ");
-
- Standard_Integer I = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Array(Index) = Array(Index) + Right.Array(I);
+ Standard_Integer I = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Array(Index) = Array(Index) + theRight.Array(I);
I++;
}
-}
-
+}
-void math_IntegerVector::Subtract(const math_IntegerVector& Right) {
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), " ");
- Standard_Integer I = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Array(Index) = Array(Index) - Right.Array(I);
+void math_IntegerVector::Subtract(const math_IntegerVector& theRight)
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), " ");
+ Standard_Integer I = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Array(Index) = Array(Index) - theRight.Array(I);
I++;
}
-}
-
-
-math_IntegerVector math_IntegerVector::Slice(const Standard_Integer I1,
- const Standard_Integer I2) const {
-
- Standard_DimensionError_Raise_if((I1 < FirstIndex) || (I1 > LastIndex) ||
- (I2 < FirstIndex) || (I2 > LastIndex),
- " ");
+}
- if(I2 >= I1) {
- math_IntegerVector Result(I1, I2);
- for(Standard_Integer Index = I1; Index <= I2; Index++) {
+math_IntegerVector math_IntegerVector::Slice(const Standard_Integer theI1,
+ const Standard_Integer theI2) const
+{
+ Standard_DimensionError_Raise_if((theI1 < FirstIndex) || (theI1 > LastIndex) ||
+ (theI2 < FirstIndex) || (theI2 > LastIndex), " ");
+
+ if(theI2 >= theI1)
+ {
+ math_IntegerVector Result(theI1, theI2);
+ for(Standard_Integer Index = theI1; Index <= theI2; Index++)
+ {
Result.Array(Index) = Array(Index);
- }
- return Result;
+ }
+ return Result;
}
- else {
- math_IntegerVector Result(I2, I1);
- for(Standard_Integer Index = I1; Index >= I2; Index--) {
+ else
+ {
+ math_IntegerVector Result(theI2, theI1);
+ for(Standard_Integer Index = theI1; Index >= theI2; Index--)
+ {
Result.Array(Index) = Array(Index);
}
return Result;
- }
+ }
}
-Standard_Integer math_IntegerVector::Multiplied (const math_IntegerVector& Right) const {
-
+Standard_Integer math_IntegerVector::Multiplied (const math_IntegerVector& theRight) const
+{
Standard_Integer Result = 0;
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), " ");
- Standard_Integer I = Right.FirstIndex;
- for(Standard_Integer Index = 0; Index < Length(); Index++) {
- Result = Result + Array(Index) * Right.Array(I);
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), " ");
+
+ Standard_Integer I = theRight.FirstIndex;
+ for(Standard_Integer Index = 0; Index < Length(); Index++)
+ {
+ Result = Result + Array(Index) * theRight.Array(I);
I++;
}
return Result;
-}
-
+}
-math_IntegerVector math_IntegerVector::Multiplied (const Standard_Integer Right)const {
-
+math_IntegerVector math_IntegerVector::Multiplied (const Standard_Integer theRight)const
+{
math_IntegerVector Result(FirstIndex, LastIndex);
-
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Result.Array(Index) = Array(Index) * Right;
+
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) * theRight;
}
return Result;
-}
-
-math_IntegerVector math_IntegerVector::TMultiplied (const Standard_Integer Right)const {
-
+}
+
+math_IntegerVector math_IntegerVector::TMultiplied (const Standard_Integer theRight) const
+{
math_IntegerVector Result(FirstIndex, LastIndex);
-
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Result.Array(Index) = Array(Index) * Right;
+
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) * theRight;
}
return Result;
-}
-
+}
+
+math_IntegerVector math_IntegerVector::Added (const math_IntegerVector& theRight) const
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), " ");
-math_IntegerVector math_IntegerVector::Added (const math_IntegerVector& Right) const {
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), " ");
-
math_IntegerVector Result(FirstIndex, LastIndex);
-
- Standard_Integer I = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Result.Array(Index) = Array(Index) + Right.Array(I);
+
+ Standard_Integer I = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) + theRight.Array(I);
I++;
}
return Result;
-}
-
+}
-
-math_IntegerVector math_IntegerVector::Opposite() {
-
+math_IntegerVector math_IntegerVector::Opposite()
+{
math_IntegerVector Result(FirstIndex, LastIndex);
-
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
+
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
Result.Array(Index) = - Array(Index);
}
return Result;
-}
-
+}
+
+math_IntegerVector math_IntegerVector::Subtracted (const math_IntegerVector& theRight) const
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), " ");
-math_IntegerVector math_IntegerVector::Subtracted (const math_IntegerVector& Right) const {
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), " ");
-
math_IntegerVector Result(FirstIndex, LastIndex);
-
- Standard_Integer I = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Result.Array(Index) = Array(Index) - Right.Array(I);
+
+ Standard_Integer I = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) - theRight.Array(I);
I++;
}
return Result;
-}
-
-void math_IntegerVector::Add (const math_IntegerVector& Left,
- const math_IntegerVector& Right) {
-
- Standard_DimensionError_Raise_if((Length() != Right.Length()) ||
- (Right.Length() != Left.Length()), " ");
-
- Standard_Integer I = Left.FirstIndex;
- Standard_Integer J = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Array(Index) = Left.Array(I) + Right.Array(J);
+}
+
+void math_IntegerVector::Add (const math_IntegerVector& theLeft, const math_IntegerVector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()) ||
+ (theRight.Length() != theLeft.Length()), " ");
+
+ Standard_Integer I = theLeft.FirstIndex;
+ Standard_Integer J = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Array(Index) = theLeft.Array(I) + theRight.Array(J);
I++;
J++;
}
-}
-
-
-void math_IntegerVector::Subtract (const math_IntegerVector& Left,
- const math_IntegerVector& Right) {
-
- Standard_DimensionError_Raise_if((Length() != Right.Length()) ||
- (Right.Length() != Left.Length()), " ");
-
- Standard_Integer I = Left.FirstIndex;
- Standard_Integer J = Right.FirstIndex;
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- Array(Index) = Left.Array(I) - Right.Array(J);
+}
+
+void math_IntegerVector::Subtract (const math_IntegerVector& theLeft,
+ const math_IntegerVector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()) ||
+ (theRight.Length() != theLeft.Length()), " ");
+
+ Standard_Integer I = theLeft.FirstIndex;
+ Standard_Integer J = theRight.FirstIndex;
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ Array(Index) = theLeft.Array(I) - theRight.Array(J);
I++;
J++;
}
-}
-
+}
-void math_IntegerVector::Multiply(const Standard_Integer Left,
- const math_IntegerVector& Right)
+void math_IntegerVector::Multiply(const Standard_Integer theLeft, const math_IntegerVector& theRight)
{
- Standard_DimensionError_Raise_if((Length() != Right.Length()),
- " ");
- for(Standard_Integer I = FirstIndex; I <= LastIndex; I++) {
- Array(I) = Left * Right.Array(I);
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()), " ");
+ for(Standard_Integer I = FirstIndex; I <= LastIndex; I++)
+ {
+ Array(I) = theLeft * theRight.Array(I);
}
}
+math_IntegerVector& math_IntegerVector::Initialized(const math_IntegerVector& theOther)
+{
+ Standard_DimensionError_Raise_if(Length() != theOther.Length(), " ");
-math_IntegerVector& math_IntegerVector::Initialized (const math_IntegerVector& Other) {
-
- Standard_DimensionError_Raise_if(Length() != Other.Length(), " ");
-
- (Other.Array).Copy(Array);
+ (theOther.Array).Copy(Array);
return *this;
}
-
-
-void math_IntegerVector::Dump(Standard_OStream& o) const
+void math_IntegerVector::Dump(Standard_OStream& theO) const
{
- o << "math_IntegerVector of Range = " << Length() << "\n";
- for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++) {
- o << "math_IntegerVector(" << Index << ") = " << Array(Index) << "\n";
- }
+ theO << "math_IntegerVector of Range = " << Length() << "\n";
+ for(Standard_Integer Index = FirstIndex; Index <= LastIndex; Index++)
+ {
+ theO << "math_IntegerVector(" << Index << ") = " << Array(Index) << "\n";
+ }
}
-
-
-
-
-
--- /dev/null
+// Copyright (c) 1997-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#ifndef _math_IntegerVector_HeaderFile
+#define _math_IntegerVector_HeaderFile
+
+#include <math_SingleTab.hxx>
+
+class Standard_DimensionError;
+class Standard_DivideByZero;
+class Standard_RangeError;
+class math_Matrix;
+
+//! This class implements the real IntegerVector abstract data type.
+//! IntegerVectors can have an arbitrary range which must be define at
+//! the declaration and cannot be changed after this declaration.
+//! Example:
+//! @code
+//! math_IntegerVector V1(-3, 5); // an IntegerVector with range [-3..5]
+//! @endcode
+//!
+//! IntegerVector is copied through assignement :
+//! @code
+//! math_IntegerVector V2( 1, 9);
+//! ....
+//! V2 = V1;
+//! V1(1) = 2.0; // the IntegerVector V2 will not be modified.
+//! @endcode
+//!
+//! The Exception RangeError is raised when trying to access outside
+//! the range of an IntegerVector :
+//! @code
+//! V1(11) = 0 // --> will raise RangeError;
+//! @endcode
+//!
+//! The Exception DimensionError is raised when the dimensions of two
+//! IntegerVectors are not compatible :
+//! @code
+//! math_IntegerVector V3(1, 2);
+//! V3 = V1; // --> will raise DimensionError;
+//! V1.Add(V3) // --> will raise DimensionError;
+//! @endcode
+class math_IntegerVector
+{
+public:
+
+ DEFINE_STANDARD_ALLOC
+
+ //! contructs an IntegerVector in the range [Lower..Upper]
+ Standard_EXPORT math_IntegerVector(const Standard_Integer theFirst, const Standard_Integer theLast);
+
+ //! contructs an IntegerVector in the range [Lower..Upper]
+ //! with all the elements set to theInitialValue.
+ Standard_EXPORT math_IntegerVector(const Standard_Integer theFirst, const Standard_Integer theLast, const Standard_Integer theInitialValue);
+
+ //! Initialize an IntegerVector with all the elements
+ //! set to theInitialValue.
+ Standard_EXPORT void Init(const Standard_Integer theInitialValue);
+
+ //! constructs an IntegerVector in the range [Lower..Upper]
+ //! which share the "c array" theTab.
+ Standard_EXPORT math_IntegerVector(const Standard_Address theTab, const Standard_Integer theFirst, const Standard_Integer theLast);
+
+ //! constructs a copy for initialization.
+ //! An exception is raised if the lengths of the IntegerVectors
+ //! are different.
+ Standard_EXPORT math_IntegerVector(const math_IntegerVector& theOther);
+
+ //! returns the length of an IntegerVector
+ inline Standard_Integer Length() const
+ {
+ return LastIndex - FirstIndex +1;
+ }
+
+ //! returns the value of the Lower index of an IntegerVector.
+ inline Standard_Integer Lower() const
+ {
+ return FirstIndex;
+ }
+
+ //! returns the value of the Upper index of an IntegerVector.
+ inline Standard_Integer Upper() const
+ {
+ return LastIndex;
+ }
+
+ //! returns the value of the norm of an IntegerVector.
+ Standard_EXPORT Standard_Real Norm() const;
+
+ //! returns the value of the square of the norm of an IntegerVector.
+ Standard_EXPORT Standard_Real Norm2() const;
+
+ //! returns the value of the Index of the maximum element of an IntegerVector.
+ Standard_EXPORT Standard_Integer Max() const;
+
+ //! returns the value of the Index of the minimum element of an IntegerVector.
+ Standard_EXPORT Standard_Integer Min() const;
+
+ //! inverses an IntegerVector.
+ Standard_EXPORT void Invert();
+
+ //! returns the inverse IntegerVector of an IntegerVector.
+ Standard_EXPORT math_IntegerVector Inverse() const;
+
+ //! sets an IntegerVector from "theI1" to "theI2" to the IntegerVector "theV";
+ //! An exception is raised if "theI1" is less than "LowerIndex" or "theI2" is greater than "UpperIndex" or "theI1" is greater than "theI2".
+ //! An exception is raised if "theI2-theI1+1" is different from the Length of "theV".
+ Standard_EXPORT void Set(const Standard_Integer theI1, const Standard_Integer theI2, const math_IntegerVector& theV);
+
+ //! slices the values of the IntegerVector between "theI1" and "theI2":
+ //! Example: [2, 1, 2, 3, 4, 5] becomes [2, 4, 3, 2, 1, 5] between 2 and 5.
+ //! An exception is raised if "theI1" is less than "LowerIndex" or "theI2" is greater than "UpperIndex".
+ Standard_EXPORT math_IntegerVector Slice(const Standard_Integer theI1, const Standard_Integer theI2) const;
+
+ //! returns the product of an IntegerVector by an integer value.
+ Standard_EXPORT void Multiply(const Standard_Integer theRight);
+
+ void operator *=(const Standard_Integer theRight)
+ {
+ Multiply(theRight);
+ }
+
+ //! returns the product of an IntegerVector by an integer value.
+ Standard_EXPORT math_IntegerVector Multiplied(const Standard_Integer theRight) const;
+
+ math_IntegerVector operator*(const Standard_Integer theRight) const
+ {
+ return Multiplied(theRight);
+ }
+
+ //! returns the product of a vector and a real value.
+ Standard_EXPORT math_IntegerVector TMultiplied(const Standard_Integer theRight) const;
+
+ friend inline math_IntegerVector operator* (const Standard_Integer theLeft, const math_IntegerVector& theRight)
+ {
+ return theRight.Multiplied(theLeft);
+ }
+
+ //! adds the IntegerVector "theRight" to an IntegerVector.
+ //! An exception is raised if the IntegerVectors have not the same length.
+ //! An exception is raised if the lengths are not equal.
+ Standard_EXPORT void Add(const math_IntegerVector& theRight);
+
+ void operator +=(const math_IntegerVector& theRight)
+ {
+ Add(theRight);
+ }
+
+ //! adds the IntegerVector "theRight" to an IntegerVector.
+ //! An exception is raised if the IntegerVectors have not the same length.
+ //! An exception is raised if the lengths are not equal.
+ Standard_EXPORT math_IntegerVector Added(const math_IntegerVector& theRight) const;
+
+ math_IntegerVector operator+(const math_IntegerVector& theRight) const
+ {
+ return Added(theRight);
+ }
+
+ //! sets an IntegerVector to the sum of the IntegerVector
+ //! "theLeft" and the IntegerVector "theRight".
+ //! An exception is raised if the lengths are different.
+ Standard_EXPORT void Add(const math_IntegerVector& theLeft, const math_IntegerVector& theRight);
+
+ //! sets an IntegerVector to the substraction of "theRight" from "theLeft".
+ //! An exception is raised if the IntegerVectors have not the same length.
+ Standard_EXPORT void Subtract(const math_IntegerVector& theLeft, const math_IntegerVector& theRight);
+
+ //! accesses (in read or write mode) the value of index theNum of an IntegerVector.
+ inline Standard_Integer& Value(const Standard_Integer theNum) const
+ {
+ Standard_RangeError_Raise_if(theNum < FirstIndex || theNum > LastIndex, " ");
+ return Array(theNum);
+ }
+
+ Standard_EXPORT Standard_Integer& operator()(const Standard_Integer theNum) const
+ {
+ return Value(theNum);
+ }
+
+ //! Initialises an IntegerVector by copying "theOther".
+ //! An exception is raised if the Lengths are different.
+ Standard_EXPORT math_IntegerVector& Initialized(const math_IntegerVector& theOther);
+
+ math_IntegerVector& operator=(const math_IntegerVector& theOther)
+ {
+ return Initialized(theOther);
+ }
+
+ //! returns the inner product of 2 IntegerVectors.
+ //! An exception is raised if the lengths are not equal.
+ Standard_EXPORT Standard_Integer Multiplied(const math_IntegerVector& theRight) const;
+
+ Standard_Integer operator*(const math_IntegerVector& theRight) const
+ {
+ return Multiplied(theRight);
+ }
+
+ //! returns the opposite of an IntegerVector.
+ Standard_EXPORT math_IntegerVector Opposite();
+
+ math_IntegerVector operator-()
+ {
+ return Opposite();
+ }
+
+ //! returns the subtraction of "theRight" from "me".
+ //! An exception is raised if the IntegerVectors have not the same length.
+ Standard_EXPORT void Subtract(const math_IntegerVector& theRight);
+
+ void operator-=(const math_IntegerVector& theRight)
+ {
+ Subtract(theRight);
+ }
+
+ //! returns the subtraction of "theRight" from "me".
+ //! An exception is raised if the IntegerVectors have not the same length.
+ Standard_EXPORT math_IntegerVector Subtracted(const math_IntegerVector& theRight) const;
+
+ math_IntegerVector operator-(const math_IntegerVector& theRight) const
+ {
+ return Subtracted(theRight);
+ }
+
+ //! returns the multiplication of an integer by an IntegerVector.
+ Standard_EXPORT void Multiply(const Standard_Integer theLeft,const math_IntegerVector& theRight);
+
+ //! Prints on the stream theO information on the current state of the object.
+ //! Is used to redefine the operator <<.
+ Standard_EXPORT void Dump(Standard_OStream& theO) const;
+
+ friend inline Standard_OStream& operator<<(Standard_OStream& theO, const math_IntegerVector& theVec)
+ {
+ theVec.Dump(theO);
+ return theO;
+ }
+
+protected:
+
+ //! is used internally to set the Lower value of the IntegerVector.
+ void SetFirst(const Standard_Integer theFirst);
+
+private:
+
+ Standard_Integer FirstIndex;
+ Standard_Integer LastIndex;
+ math_SingleTab<Standard_Integer> Array;
+};
+
+#endif
+
uses Vector from math,
- DoubleTabOfReal from math,
+ DoubleTab from math,
OStream from Standard
raises DimensionError from Standard, RangeError from Standard,
UpperRowIndex: Integer;
LowerColIndex: Integer;
UpperColIndex: Integer;
-Array: DoubleTabOfReal;
+Array: DoubleTab;
friends
class Vector from math
UpperRowIndex(UpperRow),
LowerColIndex(LowerCol),
UpperColIndex(UpperCol),
- Array(*((const Standard_Real *)Tab),
- LowerRow, UpperRow,
- LowerCol, UpperCol)
+ Array(Tab, LowerRow, UpperRow, LowerCol, UpperCol)
{
Standard_RangeError_Raise_if((LowerRow > UpperRow) ||
uses Vector from math
is
+ Delete(me:out) is virtual;
+ ---C++: alias "Standard_EXPORT virtual ~math_MultipleVarFunction(){Delete();}"
NbVariables(me)
---Purpose:
#include <math_MultipleVarFunction.ixx>
Standard_Integer math_MultipleVarFunction::GetStateNumber() { return 0; }
+
+void math_MultipleVarFunction::Delete()
+{}
is
- Delete(me:out) is virtual;
+ Delete(me:out) is redefined virtual;
---C++: alias "Standard_EXPORT virtual ~math_MultipleVarFunctionWithGradient(){Delete();}"
NbVariables(me)
is
+ Delete(me:out) is redefined virtual;
+ ---C++: alias "Standard_EXPORT virtual ~math_MultipleVarFunctionWithHessian(){Delete();}"
+
NbVariables(me)
---Purpose: returns the number of variables of the function.
// commercial license or contractual agreement.
#include <math_MultipleVarFunctionWithHessian.ixx>
+
+void math_MultipleVarFunctionWithHessian::Delete()
+{}
}
LU.Solve(TheGradient, TheStep);
- *suivant = *precedent - TheStep;
-
-
- // Gestion de la convergence
-
- F.Value(*suivant, TheMinimum);
+ Standard_Boolean hasProblem = Standard_False;
+ do
+ {
+ *suivant = *precedent - TheStep;
+
+ // Gestion de la convergence
+ hasProblem = !(F.Value(*suivant, TheMinimum));
+
+ if (hasProblem)
+ {
+ TheStep /= 2.0;
+ }
+ } while (hasProblem);
if (IsConverged()) { NbConv++; }
else { NbConv=0; }
--- /dev/null
+// Copyright (c) 1997-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#ifndef _math_SingleTab_HeaderFile
+#define _math_SingleTab_HeaderFile
+
+#include <math_Memory.hxx>
+#include <Standard_OutOfRange.hxx>
+#include <Standard_Failure.hxx>
+
+static const Standard_Integer aLengthOfBuf = 512;
+
+template<class T> class math_SingleTab
+{
+public:
+
+ DEFINE_STANDARD_ALLOC
+
+ math_SingleTab(const Standard_Integer LowerIndex, const Standard_Integer UpperIndex) :
+ Addr(Buf),
+ isAllocated(UpperIndex - LowerIndex + 1 > aLengthOfBuf),
+ First(LowerIndex), Last(UpperIndex)
+ {
+ T* TheAddr = !isAllocated? Buf :
+ (T*) Standard::Allocate((Last-First+1) * sizeof(T));
+ Addr = (Standard_Address) (TheAddr - First);
+ }
+
+ math_SingleTab(const Standard_Address Tab, const Standard_Integer LowerIndex, const Standard_Integer UpperIndex) :
+ Addr((void*)((const T*)Tab - LowerIndex)),
+ isAllocated(Standard_False),
+ First(LowerIndex), Last(UpperIndex)
+ {
+ }
+
+ void Init(const T InitValue)
+ {
+ for(Standard_Integer i = First; i<= Last; i++)
+ {
+ ((T*)Addr)[i] = InitValue;
+ }
+ }
+
+ math_SingleTab(const math_SingleTab& Other) :
+ isAllocated(Other.Last - Other.First + 1 > aLengthOfBuf),
+ First(Other.First),
+ Last(Other.Last)
+ {
+ T* TheAddr = !isAllocated? Buf : (T*) Standard::Allocate((Last-First+1) * sizeof(T));
+ Addr = (Standard_Address) (TheAddr - First);
+ T* TheOtherAddr = (T*) Other.Addr;
+ memmove((void*) TheAddr, (const void*) (TheOtherAddr + First), (size_t)(Last - First + 1) * sizeof(T));
+ }
+
+ inline void Copy(math_SingleTab& Other) const
+ {
+ memmove((void*) (((T*)Other.Addr) + Other.First),
+ (const void*) (((T*)Addr) + First),
+ (size_t)(Last - First + 1) * sizeof(T));
+ }
+
+ void SetLower(const Standard_Integer LowerIndex)
+ {
+ T* TheAddr = (T*) Addr;
+ Addr = (Standard_Address) (TheAddr + First - LowerIndex);
+ Last = Last - First + LowerIndex;
+ First = LowerIndex;
+ }
+
+ inline T& Value(const Standard_Integer Index) const
+ {
+ return ((T*)Addr)[Index];
+ }
+
+ T& operator()(const Standard_Integer Index) const
+ {
+ return Value(Index);
+ }
+
+ void Free()
+ {
+ if(isAllocated)
+ {
+ Standard_Address it = (Standard_Address)&((T*)Addr)[First];
+ Standard::Free(it);
+ Addr = 0;
+ }
+ }
+
+ ~math_SingleTab()
+ {
+ Free();
+ }
+
+private:
+
+ Standard_Address Addr;
+ T Buf[aLengthOfBuf];
+ Standard_Boolean isAllocated;
+ Standard_Integer First;
+ Standard_Integer Last;
+};
+
+#endif
#include <stdio.h>
-#include <math_Vector.ixx>
+#include <math_Vector.hxx>
#include <math_Matrix.hxx>
#include <Standard_DimensionError.hxx>
#include <Standard_RangeError.hxx>
#include <Standard_NullValue.hxx>
-
-math_Vector::math_Vector(const Standard_Integer Lower,
- const Standard_Integer Upper):
-
- LowerIndex(Lower),
- UpperIndex(Upper),
- Array(Lower,Upper) {
- Standard_RangeError_Raise_if(Lower > Upper, "");
- }
-
-math_Vector::math_Vector(const Standard_Integer Lower,
- const Standard_Integer Upper,
- const Standard_Real InitialValue):
-
- LowerIndex(Lower),
- UpperIndex(Upper),
- Array(Lower,Upper)
+math_Vector::math_Vector(const Standard_Integer theLower, const Standard_Integer theUpper) :
+ LowerIndex(theLower),
+ UpperIndex(theUpper),
+ Array(theLower,theUpper)
{
- Standard_RangeError_Raise_if(Lower > Upper, "");
- Array.Init(InitialValue);
+ Standard_RangeError_Raise_if(theLower > theUpper, "");
}
-math_Vector::math_Vector(const Standard_Address Tab,
- const Standard_Integer Lower,
- const Standard_Integer Upper) :
-
- LowerIndex(Lower),
- UpperIndex(Upper),
- Array(*((const Standard_Real *)Tab), Lower,Upper)
+math_Vector::math_Vector(const Standard_Integer theLower,
+ const Standard_Integer theUpper,
+ const Standard_Real theInitialValue):
+ LowerIndex(theLower),
+ UpperIndex(theUpper),
+ Array(theLower,theUpper)
{
- Standard_RangeError_Raise_if((Lower > Upper) , "");
+ Standard_RangeError_Raise_if(theLower > theUpper, "");
+ Array.Init(theInitialValue);
}
-void math_Vector::Init(const Standard_Real InitialValue) {
- Array.Init(InitialValue);
+math_Vector::math_Vector(const Standard_Address theTab,
+ const Standard_Integer theLower,
+ const Standard_Integer theUpper) :
+ LowerIndex(theLower),
+ UpperIndex(theUpper),
+ Array(theTab, theLower,theUpper)
+{
+ Standard_RangeError_Raise_if((theLower > theUpper) , "");
}
-math_Vector::math_Vector(const math_Vector& Other):
-
-LowerIndex(Other.LowerIndex),
-UpperIndex(Other.UpperIndex),
-Array(Other.Array) {}
-
-
-void math_Vector::SetLower(const Standard_Integer Lower) {
+void math_Vector::Init(const Standard_Real theInitialValue)
+{
+ Array.Init(theInitialValue);
+}
- Array.SetLower(Lower);
- UpperIndex = UpperIndex - LowerIndex + Lower;
- LowerIndex = Lower;
+math_Vector::math_Vector(const math_Vector& theOther) :
+ LowerIndex(theOther.LowerIndex),
+ UpperIndex(theOther.UpperIndex),
+ Array(theOther.Array)
+{
}
-Standard_Real math_Vector::Norm() const {
+void math_Vector::SetLower(const Standard_Integer theLower)
+{
+ Array.SetLower(theLower);
+ UpperIndex = UpperIndex - LowerIndex + theLower;
+ LowerIndex = theLower;
+}
+Standard_Real math_Vector::Norm() const
+{
Standard_Real Result = 0;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
Result = Result + Array(Index) * Array(Index);
}
return Sqrt(Result);
}
-Standard_Real math_Vector::Norm2() const {
-
+Standard_Real math_Vector::Norm2() const
+{
Standard_Real Result = 0;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
Result = Result + Array(Index) * Array(Index);
}
return Result;
}
-Standard_Integer math_Vector::Max() const {
-
+Standard_Integer math_Vector::Max() const
+{
Standard_Integer I=0;
Standard_Real X = RealFirst();
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- if(Array(Index) > X) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ if(Array(Index) > X)
+ {
X = Array(Index);
I = Index;
}
return I;
}
-Standard_Integer math_Vector::Min() const {
-
+Standard_Integer math_Vector::Min() const
+{
Standard_Integer I=0;
Standard_Real X = RealLast();
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- if(Array(Index) < X) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ if(Array(Index) < X)
+ {
X = Array(Index);
I = Index;
}
return I;
}
-void math_Vector::Set(const Standard_Integer I1,
- const Standard_Integer I2,
- const math_Vector &V) {
+void math_Vector::Set(const Standard_Integer theI1,
+ const Standard_Integer theI2,
+ const math_Vector &theV)
+{
+ Standard_RangeError_Raise_if((theI1 < LowerIndex) || (theI2 > UpperIndex) ||
+ (theI1 > theI2) || (theI2 - theI1 + 1 != theV.Length()), "");
- Standard_RangeError_Raise_if((I1 < LowerIndex) ||
- (I2 > UpperIndex) ||
- (I1 > I2) ||
- (I2 - I1 + 1 != V.Length()), "");
-
- Standard_Integer I = V.Lower();
- for(Standard_Integer Index = I1; Index <= I2; Index++) {
- Array(Index) = V.Array(I);
+ Standard_Integer I = theV.Lower();
+ for(Standard_Integer Index = theI1; Index <= theI2; Index++)
+ {
+ Array(Index) = theV.Array(I);
I++;
}
}
-void math_Vector::Normalize() {
-
+void math_Vector::Normalize()
+{
Standard_Real Result = Norm();
Standard_NullValue_Raise_if((Result <= RealEpsilon()), "");
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
Array(Index) = Array(Index) / Result;
}
}
-math_Vector math_Vector::Normalized() const {
-
+math_Vector math_Vector::Normalized() const
+{
math_Vector Result = *this;
Result.Normalize();
return Result;
}
-void math_Vector::Invert() {
+void math_Vector::Invert()
+{
Standard_Integer J;
Standard_Real Temp;
- for(Standard_Integer Index = LowerIndex;
-// Index <= LowerIndex + (Length()) >> 1 ; Index++) {
- Index <= (LowerIndex + Length()) >> 1 ; Index++) {
+ for(Standard_Integer Index = LowerIndex; Index <= (LowerIndex + Length()) >> 1 ; Index++)
+ {
J = UpperIndex + LowerIndex - Index;
Temp = Array(Index);
Array(Index) = Array(J);
}
}
-math_Vector math_Vector::Inverse() const {
+math_Vector math_Vector::Inverse() const
+{
math_Vector Result = *this;
Result.Invert();
return Result;
}
-math_Vector math_Vector::Multiplied(const Standard_Real Right) const{
-
+math_Vector math_Vector::Multiplied(const Standard_Real theRight) const
+{
math_Vector Result (LowerIndex, UpperIndex);
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Result.Array(Index) = Array(Index) * Right;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) * theRight;
}
return Result;
}
-math_Vector math_Vector::TMultiplied(const Standard_Real Right) const{
-
+math_Vector math_Vector::TMultiplied(const Standard_Real theRight) const
+{
math_Vector Result (LowerIndex, UpperIndex);
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Result.Array(Index) = Array(Index) * Right;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) * theRight;
}
return Result;
}
-
-void math_Vector::Multiply(const Standard_Real Right) {
-
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Array(Index) = Array(Index) * Right;
+void math_Vector::Multiply(const Standard_Real theRight)
+{
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Array(Index) = Array(Index) * theRight;
}
}
+void math_Vector::Divide(const Standard_Real theRight)
+{
+ Standard_DivideByZero_Raise_if(Abs(theRight) <= RealEpsilon(), "");
-void math_Vector::Divide(const Standard_Real Right) {
-
- Standard_DivideByZero_Raise_if(Abs(Right) <= RealEpsilon(), "");
-
- for(Standard_Integer Index =LowerIndex; Index <=UpperIndex; Index++) {
- Array(Index) = Array(Index) / Right;
+ for(Standard_Integer Index =LowerIndex; Index <=UpperIndex; Index++)
+ {
+ Array(Index) = Array(Index) / theRight;
}
}
-
-math_Vector math_Vector::Divided (const Standard_Real Right) const {
-
- Standard_DivideByZero_Raise_if(Abs(Right) <= RealEpsilon(), "");
- math_Vector temp = Multiplied(1./Right);
+math_Vector math_Vector::Divided (const Standard_Real theRight) const
+{
+ Standard_DivideByZero_Raise_if(Abs(theRight) <= RealEpsilon(), "");
+ math_Vector temp = Multiplied(1./theRight);
return temp;
}
+void math_Vector::Add(const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), "");
-void math_Vector::Add(const math_Vector& Right) {
-
- Standard_DimensionError_Raise_if(Length() != Right.Length(), "");
-
- Standard_Integer I = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Array(Index) = Array(Index) + Right.Array(I);
+ Standard_Integer I = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Array(Index) = Array(Index) + theRight.Array(I);
I++;
}
-}
-
-math_Vector math_Vector::Added(const math_Vector& Right) const{
+}
- Standard_DimensionError_Raise_if(Length() != Right.Length(), "");
+math_Vector math_Vector::Added(const math_Vector& theRight) const
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), "");
math_Vector Result(LowerIndex, UpperIndex);
-
- Standard_Integer I = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Result.Array(Index) = Array(Index) + Right.Array(I);
+
+ Standard_Integer I = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) + theRight.Array(I);
I++;
}
return Result;
-}
-
-
-
-void math_Vector::Subtract(const math_Vector& Right) {
+}
- Standard_DimensionError_Raise_if(Length() != Right.Length(), "");
+void math_Vector::Subtract(const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), "");
- Standard_Integer I = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Array(Index) = Array(Index) - Right.Array(I);
+ Standard_Integer I = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Array(Index) = Array(Index) - theRight.Array(I);
I++;
}
-}
-
+}
-math_Vector math_Vector::Subtracted (const math_Vector& Right) const {
+math_Vector math_Vector::Subtracted (const math_Vector& theRight) const
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), "");
- Standard_DimensionError_Raise_if(Length() != Right.Length(), "");
-
math_Vector Result(LowerIndex, UpperIndex);
-
- Standard_Integer I = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Result.Array(Index) = Array(Index) - Right.Array(I);
+
+ Standard_Integer I = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Result.Array(Index) = Array(Index) - theRight.Array(I);
I++;
}
return Result;
-}
-
+}
-math_Vector math_Vector::Slice(const Standard_Integer I1,
- const Standard_Integer I2) const
+math_Vector math_Vector::Slice(const Standard_Integer theI1, const Standard_Integer theI2) const
{
-
- Standard_RangeError_Raise_if((I1 < LowerIndex) ||
- (I1 > UpperIndex) ||
- (I2 < LowerIndex) ||
- (I2 > UpperIndex) , "");
-
+ Standard_RangeError_Raise_if((theI1 < LowerIndex) || (theI1 > UpperIndex) || (theI2 < LowerIndex) || (theI2 > UpperIndex) , "");
- if(I2 >= I1) {
- math_Vector Result(I1, I2);
- for(Standard_Integer Index = I1; Index <= I2; Index++) {
+ if(theI2 >= theI1)
+ {
+ math_Vector Result(theI1, theI2);
+ for(Standard_Integer Index = theI1; Index <= theI2; Index++)
+ {
Result.Array(Index) = Array(Index);
- }
- return Result;
+ }
+ return Result;
}
- else {
- math_Vector Result(I2, I1);
- for(Standard_Integer Index = I1; Index >= I2; Index--) {
+ else
+ {
+ math_Vector Result(theI2, theI1);
+ for(Standard_Integer Index = theI1; Index >= theI2; Index--)
+ {
Result.Array(Index) = Array(Index);
}
return Result;
- }
+ }
}
+void math_Vector::Add (const math_Vector& theLeft, const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()) || (theRight.Length() != theLeft.Length()), "");
-void math_Vector::Add (const math_Vector& Left, const math_Vector& Right) {
-
- Standard_DimensionError_Raise_if((Length() != Right.Length()) ||
- (Right.Length() != Left.Length()), "");
-
-
- Standard_Integer I = Left.LowerIndex;
- Standard_Integer J = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Array(Index) = Left.Array(I) + Right.Array(J);
+ Standard_Integer I = theLeft.LowerIndex;
+ Standard_Integer J = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Array(Index) = theLeft.Array(I) + theRight.Array(J);
I++;
J++;
}
-}
-
-void math_Vector::Subtract (const math_Vector& Left,
- const math_Vector& Right) {
-
- Standard_DimensionError_Raise_if((Length() != Right.Length()) ||
- (Right.Length() != Left.Length()), "");
-
- Standard_Integer I = Left.LowerIndex;
- Standard_Integer J = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Array(Index) = Left.Array(I) - Right.Array(J);
+}
+
+void math_Vector::Subtract (const math_Vector& theLeft, const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()) || (theRight.Length() != theLeft.Length()), "");
+
+ Standard_Integer I = theLeft.LowerIndex;
+ Standard_Integer J = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Array(Index) = theLeft.Array(I) - theRight.Array(J);
I++;
J++;
}
-}
-
-void math_Vector::Multiply(const math_Matrix& Left,
- const math_Vector& Right) {
+}
- Standard_DimensionError_Raise_if((Length() != Left.RowNumber()) ||
- (Left.ColNumber() != Right.Length()),
- "");
+void math_Vector::Multiply(const math_Matrix& theLeft, const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theLeft.RowNumber()) ||
+ (theLeft.ColNumber() != theRight.Length()), "");
Standard_Integer Index = LowerIndex;
- for(Standard_Integer I = Left.LowerRowIndex; I <= Left.UpperRowIndex; I++) {
+ for(Standard_Integer I = theLeft.LowerRowIndex; I <= theLeft.UpperRowIndex; I++)
+ {
Array(Index) = 0.0;
- Standard_Integer K = Right.LowerIndex;
- for(Standard_Integer J = Left.LowerColIndex; J <= Left.UpperColIndex; J++) {
- Array(Index) = Array(Index) + Left.Array(I, J) * Right.Array(K);
+ Standard_Integer K = theRight.LowerIndex;
+ for(Standard_Integer J = theLeft.LowerColIndex; J <= theLeft.UpperColIndex; J++)
+ {
+ Array(Index) = Array(Index) + theLeft.Array(I, J) * theRight.Array(K);
K++;
}
Index++;
}
-}
-
-void math_Vector::Multiply(const math_Vector& Left,
- const math_Matrix& Right) {
+}
- Standard_DimensionError_Raise_if((Length() != Right.ColNumber()) ||
- (Left.Length() != Right.RowNumber()),
- "");
+void math_Vector::Multiply(const math_Vector& theLeft, const math_Matrix& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theRight.ColNumber()) ||
+ (theLeft.Length() != theRight.RowNumber()), "");
Standard_Integer Index = LowerIndex;
- for(Standard_Integer J = Right.LowerColIndex; J <= Right.UpperColIndex; J++) {
+ for(Standard_Integer J = theRight.LowerColIndex; J <= theRight.UpperColIndex; J++)
+ {
Array(Index) = 0.0;
- Standard_Integer K = Left.LowerIndex;
- for(Standard_Integer I = Right.LowerRowIndex; I <= Right.UpperRowIndex; I++) {
- Array(Index) = Array(Index) + Left.Array(K) * Right.Array(I, J);
+ Standard_Integer K = theLeft.LowerIndex;
+ for(Standard_Integer I = theRight.LowerRowIndex; I <= theRight.UpperRowIndex; I++)
+ {
+ Array(Index) = Array(Index) + theLeft.Array(K) * theRight.Array(I, J);
K++;
}
Index++;
}
-}
-
-void math_Vector::TMultiply(const math_Matrix& TLeft,
- const math_Vector& Right) {
+}
- Standard_DimensionError_Raise_if((Length() != TLeft.ColNumber()) ||
- (TLeft.RowNumber() != Right.Length()),
- "");
+void math_Vector::TMultiply(const math_Matrix& theTLeft, const math_Vector& theRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theTLeft.ColNumber()) ||
+ (theTLeft.RowNumber() != theRight.Length()), "");
Standard_Integer Index = LowerIndex;
- for(Standard_Integer I = TLeft.LowerColIndex; I <= TLeft.UpperColIndex; I++) {
+ for(Standard_Integer I = theTLeft.LowerColIndex; I <= theTLeft.UpperColIndex; I++)
+ {
Array(Index) = 0.0;
- Standard_Integer K = Right.LowerIndex;
- for(Standard_Integer J = TLeft.LowerRowIndex; J <= TLeft.UpperRowIndex; J++) {
- Array(Index) = Array(Index) + TLeft.Array(J, I) * Right.Array(K);
+ Standard_Integer K = theRight.LowerIndex;
+ for(Standard_Integer J = theTLeft.LowerRowIndex; J <= theTLeft.UpperRowIndex; J++)
+ {
+ Array(Index) = Array(Index) + theTLeft.Array(J, I) * theRight.Array(K);
K++;
}
Index++;
}
-}
-
-void math_Vector::TMultiply(const math_Vector& Left,
- const math_Matrix& TRight) {
+}
- Standard_DimensionError_Raise_if((Length() != TRight.RowNumber()) ||
- (Left.Length() != TRight.ColNumber()),
- "");
+void math_Vector::TMultiply(const math_Vector& theLeft, const math_Matrix& theTRight)
+{
+ Standard_DimensionError_Raise_if((Length() != theTRight.RowNumber()) ||
+ (theLeft.Length() != theTRight.ColNumber()), "");
Standard_Integer Index = LowerIndex;
- for(Standard_Integer J = TRight.LowerRowIndex; J <= TRight.UpperRowIndex; J++) {
+ for(Standard_Integer J = theTRight.LowerRowIndex; J <= theTRight.UpperRowIndex; J++)
+ {
Array(Index) = 0.0;
- Standard_Integer K = Left.LowerIndex;
- for(Standard_Integer I = TRight.LowerColIndex;
- I <= TRight.UpperColIndex; I++) {
- Array(Index) = Array(Index) + Left.Array(K) * TRight.Array(J, I);
- K++;
+ Standard_Integer K = theLeft.LowerIndex;
+ for(Standard_Integer I = theTRight.LowerColIndex;
+ I <= theTRight.UpperColIndex; I++)
+ {
+ Array(Index) = Array(Index) + theLeft.Array(K) * theTRight.Array(J, I);
+ K++;
}
Index++;
}
-}
-
-
-
+}
-Standard_Real math_Vector::Multiplied(const math_Vector& Right) const{
+Standard_Real math_Vector::Multiplied(const math_Vector& theRight) const
+{
Standard_Real Result = 0;
- Standard_DimensionError_Raise_if(Length() != Right.Length(), "");
+ Standard_DimensionError_Raise_if(Length() != theRight.Length(), "");
- Standard_Integer I = Right.LowerIndex;
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
- Result = Result + Array(Index) * Right.Array(I);
+ Standard_Integer I = theRight.LowerIndex;
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ Result = Result + Array(Index) * theRight.Array(I);
I++;
}
return Result;
-}
+}
-math_Vector math_Vector::Opposite() {
+math_Vector math_Vector::Opposite()
+{
math_Vector Result(LowerIndex, UpperIndex);
- for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++) {
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
Result.Array(Index) = - Array(Index);
}
return Result;
-}
-
-math_Vector math_Vector::Multiplied(const math_Matrix& Right)const {
- Standard_DimensionError_Raise_if(Length() != Right.RowNumber(), "");
-
- math_Vector Result(Right.LowerColIndex, Right.UpperColIndex);
- for(Standard_Integer J2 = Right.LowerColIndex;
- J2 <= Right.UpperColIndex; J2++) {
- Array(J2) = 0.0;
- Standard_Integer I2 = Right.LowerRowIndex;
- for(Standard_Integer I = LowerIndex; I <= UpperIndex; I++) {
- Result.Array(J2) = Result.Array(J2) + Array(I) *
- Right.Array(I2, J2);
- I2++;
- }
+}
+
+math_Vector math_Vector::Multiplied(const math_Matrix& theRight)const
+{
+ Standard_DimensionError_Raise_if(Length() != theRight.RowNumber(), "");
+
+ math_Vector Result(theRight.LowerColIndex, theRight.UpperColIndex);
+ for(Standard_Integer J2 = theRight.LowerColIndex; J2 <= theRight.UpperColIndex; J2++)
+ {
+ Array(J2) = 0.0;
+ Standard_Integer theI2 = theRight.LowerRowIndex;
+ for(Standard_Integer I = LowerIndex; I <= UpperIndex; I++)
+ {
+ Result.Array(J2) = Result.Array(J2) + Array(I) * theRight.Array(theI2, J2);
+ theI2++;
+ }
}
return Result;
-}
-
+}
-void math_Vector::Multiply(const Standard_Real Left,
- const math_Vector& Right)
+void math_Vector::Multiply(const Standard_Real theLeft, const math_Vector& theRight)
{
- Standard_DimensionError_Raise_if((Length() != Right.Length()),
- "");
- for(Standard_Integer I = LowerIndex; I <= UpperIndex; I++) {
- Array(I) = Left * Right.Array(I);
+ Standard_DimensionError_Raise_if((Length() != theRight.Length()), "");
+ for(Standard_Integer I = LowerIndex; I <= UpperIndex; I++)
+ {
+ Array(I) = theLeft * theRight.Array(I);
}
}
+math_Vector& math_Vector::Initialized(const math_Vector& theOther)
+{
+ Standard_DimensionError_Raise_if(Length() != theOther.Length(), "");
-math_Vector& math_Vector::Initialized(const math_Vector& Other) {
-
- Standard_DimensionError_Raise_if(Length() != Other.Length(), "");
-
- (Other.Array).Copy(Array);
+ (theOther.Array).Copy(Array);
return *this;
}
-
-
-void math_Vector::Dump(Standard_OStream& o) const
+void math_Vector::Dump(Standard_OStream& theO) const
{
- o << "math_Vector of Length = " << Length() << "\n";
- for(Standard_Integer Index = LowerIndex;
- Index <= UpperIndex; Index++) {
- o << "math_Vector(" << Index << ") = " << Array(Index) << "\n";
+ theO << "math_Vector of Length = " << Length() << "\n";
+ for(Standard_Integer Index = LowerIndex; Index <= UpperIndex; Index++)
+ {
+ theO << "math_Vector(" << Index << ") = " << Array(Index) << "\n";
}
}
+
--- /dev/null
+// Copyright (c) 1997-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#ifndef _math_Vector_HeaderFile
+#define _math_Vector_HeaderFile
+
+#include <math_SingleTab.hxx>
+
+class Standard_DimensionError;
+class Standard_DivideByZero;
+class Standard_RangeError;
+class Standard_NullValue;
+class math_Matrix;
+
+//! This class implements the real vector abstract data type.
+//! Vectors can have an arbitrary range which must be defined at
+//! the declaration and cannot be changed after this declaration.
+//! @code
+//! math_Vector V1(-3, 5); // a vector with range [-3..5]
+//! @endcode
+//!
+//! Vector are copied through assignement :
+//! @code
+//! math_Vector V2( 1, 9);
+//! ....
+//! V2 = V1;
+//! V1(1) = 2.0; // the vector V2 will not be modified.
+//! @endcode
+//!
+//! The Exception RangeError is raised when trying to access outside
+//! the range of a vector :
+//! @code
+//! V1(11) = 0.0 // --> will raise RangeError;
+//! @endcode
+//!
+//! The Exception DimensionError is raised when the dimensions of two
+//! vectors are not compatible :
+//! @code
+//! math_Vector V3(1, 2);
+//! V3 = V1; // --> will raise DimensionError;
+//! V1.Add(V3) // --> will raise DimensionError;
+//! @endcode
+class math_Vector
+{
+public:
+
+ DEFINE_STANDARD_ALLOC
+
+ //! Contructs a non-initialized vector in the range [theLower..theUpper]
+ //! "theLower" and "theUpper" are the indexes of the lower and upper bounds of the constructed vector.
+ Standard_EXPORT math_Vector(const Standard_Integer theLower, const Standard_Integer theUpper);
+
+ //! Contructs a vector in the range [theLower..theUpper]
+ //! whose values are all initialized with the value "theInitialValue"
+ Standard_EXPORT math_Vector(const Standard_Integer theLower, const Standard_Integer theUpper, const Standard_Real theInitialValue);
+
+ //! Constructs a vector in the range [theLower..theUpper]
+ //! with the "c array" theTab.
+ Standard_EXPORT math_Vector(const Standard_Address theTab, const Standard_Integer theLower, const Standard_Integer theUpper);
+
+ //! Initialize all the elements of a vector with "theInitialValue".
+ Standard_EXPORT void Init(const Standard_Real theInitialValue);
+
+ //! Constructs a copy for initialization.
+ //! An exception is raised if the lengths of the vectors are different.
+ Standard_EXPORT math_Vector(const math_Vector& theOther);
+
+ //! Returns the length of a vector
+ inline Standard_Integer Length() const
+ {
+ return UpperIndex - LowerIndex +1;
+ }
+
+ //! Returns the value of the theLower index of a vector.
+ inline Standard_Integer Lower() const
+ {
+ return LowerIndex;
+ }
+
+ //! Returns the value of the theUpper index of a vector.
+ inline Standard_Integer Upper() const
+ {
+ return UpperIndex;
+ }
+
+ //! Returns the value or the square of the norm of this vector.
+ Standard_EXPORT Standard_Real Norm() const;
+
+ //! Returns the value of the square of the norm of a vector.
+ Standard_EXPORT Standard_Real Norm2() const;
+
+ //! Returns the value of the "Index" of the maximum element of a vector.
+ Standard_EXPORT Standard_Integer Max() const;
+
+ //! Returns the value of the "Index" of the minimum element of a vector.
+ Standard_EXPORT Standard_Integer Min() const;
+
+ //! Normalizes this vector (the norm of the result
+ //! is equal to 1.0) and assigns the result to this vector
+ //! Exceptions
+ //! Standard_NullValue if this vector is null (i.e. if its norm is
+ //! less than or equal to Standard_Real::RealEpsilon().
+ Standard_EXPORT void Normalize();
+
+ //! Normalizes this vector (the norm of the result
+ //! is equal to 1.0) and creates a new vector
+ //! Exceptions
+ //! Standard_NullValue if this vector is null (i.e. if its norm is
+ //! less than or equal to Standard_Real::RealEpsilon().
+ Standard_EXPORT math_Vector Normalized() const;
+
+ //! Inverts this vector and assigns the result to this vector.
+ Standard_EXPORT void Invert();
+
+ //! Inverts this vector and creates a new vector.
+ Standard_EXPORT math_Vector Inverse() const;
+
+ //! sets a vector from "theI1" to "theI2" to the vector "theV";
+ //! An exception is raised if "theI1" is less than "LowerIndex" or "theI2" is greater than "UpperIndex" or "theI1" is greater than "theI2".
+ //! An exception is raised if "theI2-theI1+1" is different from the "Length" of "theV".
+ Standard_EXPORT void Set(const Standard_Integer theI1, const Standard_Integer theI2, const math_Vector& theV);
+
+ //!Creates a new vector by inverting the values of this vector
+ //! between indexes "theI1" and "theI2".
+ //! If the values of this vector were (1., 2., 3., 4.,5., 6.),
+ //! by slicing it between indexes 2 and 5 the values
+ //! of the resulting vector are (1., 5., 4., 3., 2., 6.)
+ Standard_EXPORT math_Vector Slice(const Standard_Integer theI1, const Standard_Integer theI2) const;
+
+ //! returns the product of a vector and a real value.
+ Standard_EXPORT void Multiply(const Standard_Real theRight);
+
+ void operator *=(const Standard_Real theRight)
+ {
+ Multiply(theRight);
+ }
+
+ //! returns the product of a vector and a real value.
+ Standard_EXPORT math_Vector Multiplied(const Standard_Real theRight) const;
+
+ math_Vector operator*(const Standard_Real theRight) const
+ {
+ return Multiplied(theRight);
+ }
+
+ //! returns the product of a vector and a real value.
+ Standard_EXPORT math_Vector TMultiplied(const Standard_Real theRight) const;
+
+ friend inline math_Vector operator* (const Standard_Real theLeft, const math_Vector& theRight)
+ {
+ return theRight.Multiplied(theLeft);
+ }
+
+ //! divides a vector by the value "theRight".
+ //! An exception is raised if "theRight" = 0.
+ Standard_EXPORT void Divide(const Standard_Real theRight);
+
+ void operator /=(const Standard_Real theRight)
+ {
+ Divide(theRight);
+ }
+
+ //! divides a vector by the value "theRight".
+ //! An exception is raised if "theRight" = 0.
+ Standard_EXPORT math_Vector Divided(const Standard_Real theRight) const;
+
+ math_Vector operator/(const Standard_Real theRight) const
+ {
+ return Divided(theRight);
+ }
+
+ //! adds the vector "theRight" to a vector.
+ //! An exception is raised if the vectors have not the same length.
+ //! Warning
+ //! In order to avoid time-consuming copying of vectors, it
+ //! is preferable to use operator += or the function Add whenever possible.
+ Standard_EXPORT void Add(const math_Vector& theRight);
+
+ void operator +=(const math_Vector& theRight)
+ {
+ Add(theRight);
+ }
+
+ //! adds the vector theRight to a vector.
+ //! An exception is raised if the vectors have not the same length.
+ //! An exception is raised if the lengths are not equal.
+ Standard_EXPORT math_Vector Added(const math_Vector& theRight) const;
+
+ math_Vector operator+(const math_Vector& theRight) const
+ {
+ return Added(theRight);
+ }
+
+ //! sets a vector to the product of the vector "theLeft"
+ //! with the matrix "theRight".
+ Standard_EXPORT void Multiply(const math_Vector& theLeft, const math_Matrix& theRight);
+
+ //!sets a vector to the product of the matrix "theLeft"
+ //! with the vector "theRight".
+ Standard_EXPORT void Multiply(const math_Matrix& theLeft, const math_Vector& theRight);
+
+ //! sets a vector to the product of the transpose
+ //! of the matrix "theTLeft" by the vector "theRight".
+ Standard_EXPORT void TMultiply(const math_Matrix& theTLeft, const math_Vector& theRight);
+
+ //! sets a vector to the product of the vector
+ //! "theLeft" by the transpose of the matrix "theTRight".
+ Standard_EXPORT void TMultiply(const math_Vector& theLeft, const math_Matrix& theTRight);
+
+ //! sets a vector to the sum of the vector "theLeft"
+ //! and the vector "theRight".
+ //! An exception is raised if the lengths are different.
+ Standard_EXPORT void Add(const math_Vector& theLeft, const math_Vector& theRight);
+
+ //! sets a vector to the Subtraction of the
+ //! vector theRight from the vector theLeft.
+ //! An exception is raised if the vectors have not the same length.
+ //! Warning
+ //! In order to avoid time-consuming copying of vectors, it
+ //! is preferable to use operator -= or the function
+ //! Subtract whenever possible.
+ Standard_EXPORT void Subtract(const math_Vector& theLeft,const math_Vector& theRight);
+
+ //! accesses (in read or write mode) the value of index "theNum" of a vector.
+ inline Standard_Real& Value(const Standard_Integer theNum) const
+ {
+ Standard_RangeError_Raise_if(theNum < LowerIndex || theNum > UpperIndex, " ");
+ return Array(theNum);
+ }
+
+ Standard_Real& operator()(const Standard_Integer theNum) const
+ {
+ return Value(theNum);
+ }
+
+ //! Initialises a vector by copying "theOther".
+ //! An exception is raised if the Lengths are differents.
+ Standard_EXPORT math_Vector& Initialized(const math_Vector& theOther);
+
+ math_Vector& operator=(const math_Vector& theOther)
+ {
+ return Initialized(theOther);
+ }
+
+ //! returns the inner product of 2 vectors.
+ //! An exception is raised if the lengths are not equal.
+ Standard_EXPORT Standard_Real Multiplied(const math_Vector& theRight) const;
+ Standard_Real operator*(const math_Vector& theRight) const
+ {
+ return Multiplied(theRight);
+ }
+
+ //! returns the product of a vector by a matrix.
+ Standard_EXPORT math_Vector Multiplied(const math_Matrix& theRight) const;
+
+ math_Vector operator*(const math_Matrix& theRight) const
+ {
+ return Multiplied(theRight);
+ }
+
+ //! returns the opposite of a vector.
+ Standard_EXPORT math_Vector Opposite();
+
+ math_Vector operator-()
+ {
+ return Opposite();
+ }
+
+ //! returns the subtraction of "theRight" from "me".
+ //! An exception is raised if the vectors have not the same length.
+ Standard_EXPORT void Subtract(const math_Vector& theRight);
+
+ void operator-=(const math_Vector& theRight)
+ {
+ Subtract(theRight);
+ }
+
+ //! returns the subtraction of "theRight" from "me".
+ //! An exception is raised if the vectors have not the same length.
+ Standard_EXPORT math_Vector Subtracted(const math_Vector& theRight) const;
+
+ math_Vector operator-(const math_Vector& theRight) const
+ {
+ return Subtracted(theRight);
+ }
+
+ //! returns the multiplication of a real by a vector.
+ //! "me" = "theLeft" * "theRight"
+ Standard_EXPORT void Multiply(const Standard_Real theLeft,const math_Vector& theRight);
+
+ //! Prints information on the current state of the object.
+ //! Is used to redefine the operator <<.
+ Standard_EXPORT void Dump(Standard_OStream& theO) const;
+
+ friend inline Standard_OStream& operator<<(Standard_OStream& theO, const math_Vector& theVec)
+ {
+ theVec.Dump(theO);
+ return theO;
+ }
+
+ friend class math_Matrix;
+
+protected:
+
+ //! Is used internally to set the "theLower" value of the vector.
+ void SetLower(const Standard_Integer theLower);
+
+private:
+
+ Standard_Integer LowerIndex;
+ Standard_Integer UpperIndex;
+ math_SingleTab<Standard_Real> Array;
+};
+
+#endif
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