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d5f74e42d6
License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast Wrong license statements corrected in several files. Copyright and license statements added in XSD and GLSL files. Copyright year updated in some files. Obsolete documentation files removed from DrawResources.
232 lines
6.7 KiB
C++
232 lines
6.7 KiB
C++
// Copyright (c) 1997-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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//#ifndef DEB
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#define No_Standard_RangeError
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#define No_Standard_OutOfRange
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#define No_Standard_DimensionError
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//#endif
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#include <math_FunctionAllRoots.ixx>
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#include <Standard_NumericError.hxx>
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#include <Standard_OutOfRange.hxx>
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#include <math_FunctionRoots.hxx>
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#include <math_FunctionWithDerivative.hxx>
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#include <math_FunctionSample.hxx>
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math_FunctionAllRoots::math_FunctionAllRoots (
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math_FunctionWithDerivative& F,
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const math_FunctionSample& S,
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const Standard_Real EpsX, const Standard_Real EpsF,
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const Standard_Real EpsNul) {
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done=Standard_False;
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Standard_Boolean Nul, PNul, InterNul, Nuld, Nulf;
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Standard_Real DebNul,FinNul;
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Standard_Integer Indd,Indf;
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Standard_Real cst,val,valsav=0,valbid;
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Standard_Boolean fini;
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Standard_Integer Nbp,i;
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Nbp=S.NbPoints();
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F.Value(S.GetParameter(1),val);
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PNul=Abs(val)<=EpsNul;
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if (!PNul) {valsav=val;}
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InterNul=Standard_False;
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Nuld=Standard_False;
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Nulf=Standard_False;
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i=2;
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fini=(i>Nbp);
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while (!fini) {
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F.Value(S.GetParameter(i),val);
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Nul=Abs(val)<=EpsNul;
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if (!Nul) {
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valsav=val;
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}
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if (InterNul && (!Nul)) {
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InterNul=Standard_False;
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pdeb.Append(DebNul);
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ideb.Append(Indd);
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if (val>0.0) {
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cst=EpsNul;
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}
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else {
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cst=-EpsNul;
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}
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math_FunctionRoots Res1(F,S.GetParameter(i-1),S.GetParameter(i),10,
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EpsX,EpsF,0.0,cst);
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Standard_NumericError_Raise_if((!Res1.IsDone()) ||
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(Res1.IsAllNull()) ||
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(Res1.NbSolutions()==0), " ");
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FinNul=Res1.Value(1);
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Indf=Res1.StateNumber(1);
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cst=-cst;
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math_FunctionRoots Res2(F,S.GetParameter(i-1),S.GetParameter(i),10,
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EpsX,EpsF,0.0,cst);
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Standard_NumericError_Raise_if((!Res2.IsDone()) ||
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(Res2.IsAllNull())," ");
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//-- || (Res2.NbSolutions()!=0), " "); lbr le 13 mai 87 (!=0 -> ==0)
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if (Res2.NbSolutions()!=0) {
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if (Res2.Value(1) < FinNul) {
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FinNul = Res2.Value(1);
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Indf = Res2.StateNumber(1);
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}
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}
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pfin.Append(FinNul);
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ifin.Append(Indf);
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}
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else if ((!InterNul) && PNul && Nul) {
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InterNul=Standard_True;
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if (i==2) {
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DebNul=S.GetParameter(1);
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F.Value(DebNul,valbid);
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Indd = F.GetStateNumber();
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Nuld=Standard_True;
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}
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else {
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if (valsav>0.0) {
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cst=EpsNul;
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}
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else {
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cst=-EpsNul;
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}
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math_FunctionRoots Res1(F,S.GetParameter(i-2),S.GetParameter(i-1),10,
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EpsX,EpsF,0.0,cst);
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Standard_NumericError_Raise_if((!Res1.IsDone()) ||
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(Res1.IsAllNull()) ||
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(Res1.NbSolutions()==0), " ");
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DebNul=Res1.Value(Res1.NbSolutions());
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Indd = Res1.StateNumber(Res1.NbSolutions());
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cst=-cst;
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math_FunctionRoots Res3(F,S.GetParameter(i-2),S.GetParameter(i-1),10,
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EpsX,EpsF,0.0,cst);
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Standard_NumericError_Raise_if((!Res3.IsDone()) ||
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(Res3.IsAllNull()), " ");
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if (Res3.NbSolutions()!=0) {
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if (Res3.Value(Res3.NbSolutions()) > DebNul) {
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DebNul = Res3.Value(Res3.NbSolutions());
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Indd = Res3.StateNumber(Res3.NbSolutions());
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}
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}
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}
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}
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i=i+1;
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PNul=Nul;
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fini=(i>Nbp);
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}
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if (InterNul) { // rajouter l intervalle finissant au dernier pt
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pdeb.Append(DebNul);
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ideb.Append(Indd);
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FinNul = S.GetParameter(Nbp);
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F.Value(FinNul,valbid);
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Indf = F.GetStateNumber();
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pfin.Append(FinNul);
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ifin.Append(Indf);
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Nulf=Standard_True;
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}
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if (pdeb.Length()==0) { // Pas d intervalle nul
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math_FunctionRoots Res(F,S.GetParameter(1),S.GetParameter(Nbp),Nbp,
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EpsX,EpsF,0.0);
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Standard_NumericError_Raise_if((!Res.IsDone()) ||
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(Res.IsAllNull()), " ");
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for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
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piso.Append(Res.Value(j));
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iiso.Append(Res.StateNumber(j));
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}
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}
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else {
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Standard_Integer NbpMin = 3;
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Standard_Integer Nbrpt;
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if (!Nuld) { // Recherche des solutions entre S.GetParameter(1)
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// et le debut du 1er intervalle nul
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Nbrpt=(Standard_Integer ) IntegerPart(
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Abs((pdeb.Value(1)-S.GetParameter(1))/
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(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
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math_FunctionRoots Res(F,S.GetParameter(1),pdeb.Value(1),
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Max(Nbrpt, NbpMin), EpsX,EpsF,0.0);
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Standard_NumericError_Raise_if((!Res.IsDone()) ||
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(Res.IsAllNull()), " ");
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for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
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piso.Append(Res.Value(j));
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iiso.Append(Res.StateNumber(j));
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}
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}
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for (Standard_Integer k=2; k<=pdeb.Length(); k++) {
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Nbrpt=(Standard_Integer )
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IntegerPart(Abs((pdeb.Value(k)-pfin.Value(k-1))/
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(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
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math_FunctionRoots Res(F,pfin.Value(k-1),pdeb.Value(k),
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Max(Nbrpt, NbpMin), EpsX,EpsF,0.0);
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Standard_NumericError_Raise_if((!Res.IsDone()) ||
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(Res.IsAllNull()), " ");
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for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
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piso.Append(Res.Value(j));
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iiso.Append(Res.StateNumber(j));
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}
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}
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if (!Nulf) { // Recherche des solutions entre la fin du
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// dernier intervalle nul et Value(Nbp).
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Nbrpt=(Standard_Integer )
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IntegerPart(Abs((S.GetParameter(Nbp)-
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pfin.Value(pdeb.Length()))/
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(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
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math_FunctionRoots Res(F,pfin.Value(pdeb.Length()),
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S.GetParameter(Nbp), Max(Nbrpt, NbpMin),
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EpsX,EpsF,0.0);
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Standard_NumericError_Raise_if((!Res.IsDone()) ||
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(Res.IsAllNull()), " ");
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for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
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piso.Append(Res.Value(j));
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iiso.Append(Res.StateNumber(j));
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}
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}
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}
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done=Standard_True;
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}
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void math_FunctionAllRoots::Dump(Standard_OStream& o) const {
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o<< "math_FunctionAllRoots ";
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if(done) {
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o<< " Status = Done \n";
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o << " Number of null intervals = " << pdeb.Length() << endl;
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o << " Number of points where the function is null: " << piso.Length() << endl;
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}
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else {
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o<< " Status = not Done \n";
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}
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}
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