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114 lines
3.5 KiB
C++
114 lines
3.5 KiB
C++
// Created on: 1991-05-27
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// Created by: Arnaud BOUZY
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// Copyright (c) 1991-1999 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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#include <Expr.hxx>
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#include <Expr_ArcCosine.hxx>
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#include <Expr_Cosine.hxx>
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#include <Expr_Difference.hxx>
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#include <Expr_Division.hxx>
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#include <Expr_GeneralExpression.hxx>
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#include <Expr_NamedUnknown.hxx>
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#include <Expr_NotEvaluable.hxx>
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#include <Expr_NumericValue.hxx>
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#include <Expr_Operators.hxx>
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#include <Expr_Product.hxx>
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#include <Expr_Square.hxx>
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#include <Expr_SquareRoot.hxx>
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#include <Expr_UnaryMinus.hxx>
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#include <Standard_NumericError.hxx>
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#include <Standard_Type.hxx>
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#include <TCollection_AsciiString.hxx>
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IMPLEMENT_STANDARD_RTTIEXT(Expr_ArcCosine,Expr_UnaryExpression)
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Expr_ArcCosine::Expr_ArcCosine (const Handle(Expr_GeneralExpression)& exp)
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{
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CreateOperand(exp);
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}
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Handle(Expr_GeneralExpression) Expr_ArcCosine::ShallowSimplified () const
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{
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Handle(Expr_GeneralExpression) op = Operand();
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if (op->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
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Handle(Expr_NumericValue) valop = Handle(Expr_NumericValue)::DownCast(op);
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return new Expr_NumericValue(ACos(valop->GetValue()));
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}
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if (op->IsKind(STANDARD_TYPE(Expr_Cosine))) {
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return op->SubExpression(1);
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}
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Handle(Expr_ArcCosine) me = this;
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return me;
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}
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Handle(Expr_GeneralExpression) Expr_ArcCosine::Copy () const
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{
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return new Expr_ArcCosine(Expr::CopyShare(Operand()));
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}
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Standard_Boolean Expr_ArcCosine::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const
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{
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if (!Other->IsKind(STANDARD_TYPE(Expr_ArcCosine))) {
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return Standard_False;
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}
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Handle(Expr_GeneralExpression) op = Operand();
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return op->IsIdentical(Other->SubExpression(1));
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}
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Standard_Boolean Expr_ArcCosine::IsLinear () const
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{
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if (ContainsUnknowns()) {
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return Standard_False;
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}
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return Standard_True;
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}
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Handle(Expr_GeneralExpression) Expr_ArcCosine::Derivative (const Handle(Expr_NamedUnknown)& X) const
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{
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if (!Contains(X)) {
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return new Expr_NumericValue(0.0);
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}
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Handle(Expr_GeneralExpression) op = Operand();
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Handle(Expr_GeneralExpression) derop = op->Derivative(X);
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Handle(Expr_Square) sq = new Expr_Square(Expr::CopyShare(op));
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// 1 - X2
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Handle(Expr_Difference) thedif = 1.0 - sq->ShallowSimplified();
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Handle(Expr_SquareRoot) theroot = new Expr_SquareRoot(thedif->ShallowSimplified());
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// 1/ sqrt(1-X2)
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Handle(Expr_UnaryMinus) theder = - (1.0 / theroot->ShallowSimplified());
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// ArcCosine'(F(X)) = -1/sqrt(1-F(X)2) * F'(X)
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Handle(Expr_Product) result = theder->ShallowSimplified() * derop;
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return result->ShallowSimplified();
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}
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Standard_Real Expr_ArcCosine::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const
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{
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return ::ACos(Operand()->Evaluate(vars,vals));
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}
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TCollection_AsciiString Expr_ArcCosine::String() const
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{
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TCollection_AsciiString str("ACos(");
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str += Operand()->String();
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str += ")";
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return str;
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}
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