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//static const char* sccsid = "@(#)math_FunctionAllRoots.cxx 3.2 95/01/10"; // Do not delete this line. Used by sccs.
//#ifndef DEB
#define No_Standard_RangeError
#define No_Standard_OutOfRange
#define No_Standard_DimensionError
//#endif
#include <math_FunctionAllRoots.ixx>
#include <Standard_NumericError.hxx>
#include <Standard_OutOfRange.hxx>
#include <math_FunctionRoots.hxx>
#include <math_FunctionWithDerivative.hxx>
#include <math_FunctionSample.hxx>
math_FunctionAllRoots::math_FunctionAllRoots (
math_FunctionWithDerivative& F,
const math_FunctionSample& S,
const Standard_Real EpsX, const Standard_Real EpsF,
const Standard_Real EpsNul) {
done=Standard_False;
Standard_Boolean Nul, PNul, InterNul, Nuld, Nulf;
Standard_Real DebNul,FinNul;
Standard_Integer Indd,Indf;
Standard_Real cst,val,valsav=0,valbid;
Standard_Boolean fini;
Standard_Integer Nbp,i;
Nbp=S.NbPoints();
F.Value(S.GetParameter(1),val);
PNul=Abs(val)<=EpsNul;
if (!PNul) {valsav=val;}
InterNul=Standard_False;
Nuld=Standard_False;
Nulf=Standard_False;
i=2;
fini=(i>Nbp);
while (!fini) {
F.Value(S.GetParameter(i),val);
Nul=Abs(val)<=EpsNul;
if (!Nul) {
valsav=val;
}
if (InterNul && (!Nul)) {
InterNul=Standard_False;
pdeb.Append(DebNul);
ideb.Append(Indd);
if (val>0.0) {
cst=EpsNul;
}
else {
cst=-EpsNul;
}
math_FunctionRoots Res1(F,S.GetParameter(i-1),S.GetParameter(i),10,
EpsX,EpsF,0.0,cst);
Standard_NumericError_Raise_if((!Res1.IsDone()) ||
(Res1.IsAllNull()) ||
(Res1.NbSolutions()==0), " ");
FinNul=Res1.Value(1);
Indf=Res1.StateNumber(1);
cst=-cst;
math_FunctionRoots Res2(F,S.GetParameter(i-1),S.GetParameter(i),10,
EpsX,EpsF,0.0,cst);
Standard_NumericError_Raise_if((!Res2.IsDone()) ||
(Res2.IsAllNull())," ");
//-- || (Res2.NbSolutions()!=0), " "); lbr le 13 mai 87 (!=0 -> ==0)
if (Res2.NbSolutions()!=0) {
if (Res2.Value(1) < FinNul) {
FinNul = Res2.Value(1);
Indf = Res2.StateNumber(1);
}
}
pfin.Append(FinNul);
ifin.Append(Indf);
}
else if ((!InterNul) && PNul && Nul) {
InterNul=Standard_True;
if (i==2) {
DebNul=S.GetParameter(1);
F.Value(DebNul,valbid);
Indd = F.GetStateNumber();
Nuld=Standard_True;
}
else {
if (valsav>0.0) {
cst=EpsNul;
}
else {
cst=-EpsNul;
}
math_FunctionRoots Res1(F,S.GetParameter(i-2),S.GetParameter(i-1),10,
EpsX,EpsF,0.0,cst);
Standard_NumericError_Raise_if((!Res1.IsDone()) ||
(Res1.IsAllNull()) ||
(Res1.NbSolutions()==0), " ");
DebNul=Res1.Value(Res1.NbSolutions());
Indd = Res1.StateNumber(Res1.NbSolutions());
cst=-cst;
math_FunctionRoots Res3(F,S.GetParameter(i-2),S.GetParameter(i-1),10,
EpsX,EpsF,0.0,cst);
Standard_NumericError_Raise_if((!Res3.IsDone()) ||
(Res3.IsAllNull()), " ");
if (Res3.NbSolutions()!=0) {
if (Res3.Value(Res3.NbSolutions()) > DebNul) {
DebNul = Res3.Value(Res3.NbSolutions());
Indd = Res3.StateNumber(Res3.NbSolutions());
}
}
}
}
i=i+1;
PNul=Nul;
fini=(i>Nbp);
}
if (InterNul) { // rajouter l intervalle finissant au dernier pt
pdeb.Append(DebNul);
ideb.Append(Indd);
FinNul = S.GetParameter(Nbp);
F.Value(FinNul,valbid);
Indf = F.GetStateNumber();
pfin.Append(FinNul);
ifin.Append(Indf);
Nulf=Standard_True;
}
if (pdeb.Length()==0) { // Pas d intervalle nul
math_FunctionRoots Res(F,S.GetParameter(1),S.GetParameter(Nbp),Nbp,
EpsX,EpsF,0.0);
Standard_NumericError_Raise_if((!Res.IsDone()) ||
(Res.IsAllNull()), " ");
for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
piso.Append(Res.Value(j));
iiso.Append(Res.StateNumber(j));
}
}
else {
Standard_Integer NbpMin = 3;
Standard_Integer Nbrpt;
if (!Nuld) { // Recherche des solutions entre S.GetParameter(1)
// et le debut du 1er intervalle nul
Nbrpt=(Standard_Integer ) IntegerPart(
Abs((pdeb.Value(1)-S.GetParameter(1))/
(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
math_FunctionRoots Res(F,S.GetParameter(1),pdeb.Value(1),
Max(Nbrpt, NbpMin), EpsX,EpsF,0.0);
Standard_NumericError_Raise_if((!Res.IsDone()) ||
(Res.IsAllNull()), " ");
for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
piso.Append(Res.Value(j));
iiso.Append(Res.StateNumber(j));
}
}
for (Standard_Integer k=2; k<=pdeb.Length(); k++) {
Nbrpt=(Standard_Integer )
IntegerPart(Abs((pdeb.Value(k)-pfin.Value(k-1))/
(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
math_FunctionRoots Res(F,pfin.Value(k-1),pdeb.Value(k),
Max(Nbrpt, NbpMin), EpsX,EpsF,0.0);
Standard_NumericError_Raise_if((!Res.IsDone()) ||
(Res.IsAllNull()), " ");
for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
piso.Append(Res.Value(j));
iiso.Append(Res.StateNumber(j));
}
}
if (!Nulf) { // Recherche des solutions entre la fin du
// dernier intervalle nul et Value(Nbp).
Nbrpt=(Standard_Integer )
IntegerPart(Abs((S.GetParameter(Nbp)-
pfin.Value(pdeb.Length()))/
(S.GetParameter(Nbp)-S.GetParameter(1)))*Nbp);
math_FunctionRoots Res(F,pfin.Value(pdeb.Length()),
S.GetParameter(Nbp), Max(Nbrpt, NbpMin),
EpsX,EpsF,0.0);
Standard_NumericError_Raise_if((!Res.IsDone()) ||
(Res.IsAllNull()), " ");
for (Standard_Integer j=1; j<=Res.NbSolutions(); j++) {
piso.Append(Res.Value(j));
iiso.Append(Res.StateNumber(j));
}
}
}
done=Standard_True;
}
void math_FunctionAllRoots::Dump(Standard_OStream& o) const {
o<< "math_FunctionAllRoots ";
if(done) {
o<< " Status = Done \n";
o << " Number of null intervals = " << pdeb.Length() << endl;
o << " Number of points where the function is null: " << piso.Length() << endl;
}
else {
o<< " Status = not Done \n";
}
}
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