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//static const char* sccsid = "@(#)Expr_Exponentiate.cxx 3.2 95/01/10"; // Do not delete this line. Used by sccs.
// Copyright: Matra-Datavision 1991
// File: Expr_Exponentiate.cxx
// Created: Thu May 30 16:44:30 1991
// Author: Arnaud BOUZY
// <adn>
#include <Expr_Exponentiate.ixx>
#include <Expr_NumericValue.hxx>
#include <Expr_SequenceOfGeneralExpression.hxx>
#include <Expr_Difference.hxx>
#include <Expr_Product.hxx>
#include <Expr_LogOfe.hxx>
#include <Expr_Sum.hxx>
#include <Expr_Operators.hxx>
#include <Expr.hxx>
Expr_Exponentiate::Expr_Exponentiate (const Handle(Expr_GeneralExpression)& exp1, const Handle(Expr_GeneralExpression)& exp2)
{
CreateFirstOperand(exp1);
CreateSecondOperand(exp2);
}
Handle(Expr_GeneralExpression) Expr_Exponentiate::ShallowSimplified() const
{
Handle(Expr_GeneralExpression) myfirst = FirstOperand();
Handle(Expr_GeneralExpression) mysecond = SecondOperand();
if (mysecond->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
Handle(Expr_NumericValue) myNVs = Handle(Expr_NumericValue)::DownCast(mysecond);
Standard_Real myvals = myNVs->GetValue();
if (myvals == 0.0) {
// case X ** 0
return new Expr_NumericValue(1.0);
}
if (myvals == 1.0) {
// case X ** 1
return myfirst;
}
if (myfirst->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
Handle(Expr_NumericValue) myNVf = Handle(Expr_NumericValue)::DownCast(myfirst);
return new Expr_NumericValue(Pow(myNVf->GetValue(),myvals));
}
}
if (myfirst->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
Handle(Expr_NumericValue) myNVf = Handle(Expr_NumericValue)::DownCast(myfirst);
Standard_Real myValf = myNVf->GetValue();
if (myValf == 1.0) {
return myNVf;
}
}
Handle(Expr_Exponentiate) me = this;
return me;
}
Handle(Expr_GeneralExpression) Expr_Exponentiate::Copy () const
{
return new Expr_Exponentiate(Expr::CopyShare(FirstOperand()),
Expr::CopyShare(SecondOperand()));
}
Standard_Boolean Expr_Exponentiate::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const
{
Standard_Boolean ident = Standard_False;
if (Other->IsKind(STANDARD_TYPE(Expr_Exponentiate))) {
Handle(Expr_GeneralExpression) myfirst = FirstOperand();
Handle(Expr_GeneralExpression) mysecond = SecondOperand();
if (myfirst->IsIdentical(Other->SubExpression(1))) {
if (mysecond->IsIdentical(Other->SubExpression(2))) {
ident = Standard_True;
}
}
}
return ident;
}
Standard_Boolean Expr_Exponentiate::IsLinear () const
{
return !ContainsUnknowns();
}
Handle(Expr_GeneralExpression) Expr_Exponentiate::Derivative (const Handle(Expr_NamedUnknown)& X) const
{
if (!Contains(X)) {
return new Expr_NumericValue(0.0);
}
// Derivate of h(X) ** g(X) is :
// h(X) * (g(X) ** (h(X)-1)) * g'(X) +
// (g(X) ** h(X)) * Log(g(X)) * h'(X)
Handle(Expr_GeneralExpression) myfirst = FirstOperand();
Handle(Expr_GeneralExpression) mysecond = SecondOperand();
Handle(Expr_GeneralExpression) myfder = myfirst->Derivative(X);
Handle(Expr_GeneralExpression) mysder = mysecond->Derivative(X);
Expr_SequenceOfGeneralExpression prod1;
prod1.Append(Expr::CopyShare(mysecond)); // h(X)
Handle(Expr_Difference) difh1 = Expr::CopyShare(mysecond) - 1.0; // h(X)-1
Handle(Expr_Exponentiate) exp1 = new Expr_Exponentiate(Expr::CopyShare(myfirst),difh1->ShallowSimplified());
prod1.Append(exp1->ShallowSimplified()); // g(X) ** (h(X)-1)
prod1.Append(myfder); // g'(X)
Handle(Expr_Product) firstmember = new Expr_Product(prod1);
Expr_SequenceOfGeneralExpression prod2;
Handle(Expr_Exponentiate) exp2 = new Expr_Exponentiate(Expr::CopyShare(myfirst),Expr::CopyShare(mysecond));
prod2.Append(exp2->ShallowSimplified()); // g(X) ** h(X)
Handle(Expr_LogOfe) log = new Expr_LogOfe(Expr::CopyShare(myfirst));
prod2.Append(log->ShallowSimplified()); // Log(g(X))
prod2.Append(mysder); // h'(X)
Handle(Expr_Product) secondmember = new Expr_Product(prod2);
Handle(Expr_Sum) resu = firstmember->ShallowSimplified() + secondmember->ShallowSimplified();
return resu->ShallowSimplified();
}
Standard_Real Expr_Exponentiate::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const
{
Standard_Real res = FirstOperand()->Evaluate(vars,vals);
return ::Pow(res,SecondOperand()->Evaluate(vars,vals));
}
TCollection_AsciiString Expr_Exponentiate::String() const
{
Handle(Expr_GeneralExpression) op1 = FirstOperand();
Handle(Expr_GeneralExpression) op2 = SecondOperand();
TCollection_AsciiString str;
if (op1->NbSubExpressions() > 1) {
str = "(";
str += op1->String();
str += ")";
}
else {
str = op1->String();
}
str += "^";
if (op2->NbSubExpressions() > 1) {
str += "(";
str += op2->String();
str += ")";
}
else {
str += op2->String();
}
return str;
}
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