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//static const char* sccsid = "@(#)Expr_ArcCosine.cxx 3.2 95/01/10"; // Do not delete this line. Used by sccs.
// Copyright: Matra-Datavision 1991
// File: Expr_ArcCosine.cxx
// Created: Mon May 27 10:39:35 1991
// Author: Arnaud BOUZY
// <adn>
#include <Expr_ArcCosine.ixx>
#include <Expr_NumericValue.hxx>
#include <Expr_Cosine.hxx>
#include <Expr_Division.hxx>
#include <Expr_Square.hxx>
#include <Expr_Difference.hxx>
#include <Expr_SquareRoot.hxx>
#include <Expr_UnaryMinus.hxx>
#include <Expr_Product.hxx>
#include <Expr_Operators.hxx>
#include <Expr.hxx>
Expr_ArcCosine::Expr_ArcCosine (const Handle(Expr_GeneralExpression)& exp)
{
CreateOperand(exp);
}
Handle(Expr_GeneralExpression) Expr_ArcCosine::ShallowSimplified () const
{
Handle(Expr_GeneralExpression) op = Operand();
if (op->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
Handle(Expr_NumericValue) valop = Handle(Expr_NumericValue)::DownCast(op);
return new Expr_NumericValue(ACos(valop->GetValue()));
}
if (op->IsKind(STANDARD_TYPE(Expr_Cosine))) {
return op->SubExpression(1);
}
Handle(Expr_ArcCosine) me = this;
return me;
}
Handle(Expr_GeneralExpression) Expr_ArcCosine::Copy () const
{
return new Expr_ArcCosine(Expr::CopyShare(Operand()));
}
Standard_Boolean Expr_ArcCosine::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const
{
if (!Other->IsKind(STANDARD_TYPE(Expr_ArcCosine))) {
return Standard_False;
}
Handle(Expr_GeneralExpression) op = Operand();
return op->IsIdentical(Other->SubExpression(1));
}
Standard_Boolean Expr_ArcCosine::IsLinear () const
{
if (ContainsUnknowns()) {
return Standard_False;
}
return Standard_True;
}
Handle(Expr_GeneralExpression) Expr_ArcCosine::Derivative (const Handle(Expr_NamedUnknown)& X) const
{
if (!Contains(X)) {
return new Expr_NumericValue(0.0);
}
Handle(Expr_GeneralExpression) op = Operand();
Handle(Expr_GeneralExpression) derop = op->Derivative(X);
Handle(Expr_Square) sq = new Expr_Square(Expr::CopyShare(op));
// 1 - X2
Handle(Expr_Difference) thedif = 1.0 - sq->ShallowSimplified();
Handle(Expr_SquareRoot) theroot = new Expr_SquareRoot(thedif->ShallowSimplified());
// 1/ sqrt(1-X2)
Handle(Expr_UnaryMinus) theder = - (1.0 / theroot->ShallowSimplified());
// ArcCosine'(F(X)) = -1/sqrt(1-F(X)2) * F'(X)
Handle(Expr_Product) result = theder->ShallowSimplified() * derop;
return result->ShallowSimplified();
}
Standard_Real Expr_ArcCosine::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const
{
return ::ACos(Operand()->Evaluate(vars,vals));
}
TCollection_AsciiString Expr_ArcCosine::String() const
{
TCollection_AsciiString str("ACos(");
str += Operand()->String();
str += ")";
return str;
}
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