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[occt.git] / src / Expr / Expr_ArgSinh.cxx
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b311480e 1// Created on: 1991-05-27
2// Created by: Arnaud BOUZY
3// Copyright (c) 1991-1999 Matra Datavision
973c2be1 4// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e 5//
973c2be1 6// This file is part of Open CASCADE Technology software library.
b311480e 7//
d5f74e42 8// This library is free software; you can redistribute it and/or modify it under
9// the terms of the GNU Lesser General Public License version 2.1 as published
973c2be1 10// by the Free Software Foundation, with special exception defined in the file
11// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
12// distribution for complete text of the license and disclaimer of any warranty.
b311480e 13//
973c2be1 14// Alternatively, this file may be used under the terms of Open CASCADE
15// commercial license or contractual agreement.
7fd59977 16
42cf5bc1 17
18#include <Expr.hxx>
19#include <Expr_ArgSinh.hxx>
20#include <Expr_Division.hxx>
21#include <Expr_GeneralExpression.hxx>
22#include <Expr_NamedUnknown.hxx>
23#include <Expr_NotEvaluable.hxx>
7fd59977 24#include <Expr_NumericValue.hxx>
42cf5bc1 25#include <Expr_Operators.hxx>
7fd59977 26#include <Expr_Sinh.hxx>
7fd59977 27#include <Expr_Square.hxx>
7fd59977 28#include <Expr_SquareRoot.hxx>
42cf5bc1 29#include <Expr_Sum.hxx>
30#include <Standard_NumericError.hxx>
31#include <Standard_Type.hxx>
32#include <TCollection_AsciiString.hxx>
7fd59977 33
92efcf78 34IMPLEMENT_STANDARD_RTTIEXT(Expr_ArgSinh,Expr_UnaryExpression)
35
7fd59977 36Expr_ArgSinh::Expr_ArgSinh (const Handle(Expr_GeneralExpression)& exp)
37{
38 CreateOperand(exp);
39}
40
41Handle(Expr_GeneralExpression) Expr_ArgSinh::ShallowSimplified () const
42{
43 Handle(Expr_GeneralExpression) op = Operand();
44 if (op->IsKind(STANDARD_TYPE(Expr_NumericValue))) {
45 Handle(Expr_NumericValue) valop = Handle(Expr_NumericValue)::DownCast(op);
46 return new Expr_NumericValue(ASinh(valop->GetValue()));
47 }
48 if (op->IsKind(STANDARD_TYPE(Expr_Sinh))) {
49 return op->SubExpression(1);
50 }
51 Handle(Expr_ArgSinh) me = this;
52 return me;
53}
54
55Handle(Expr_GeneralExpression) Expr_ArgSinh::Copy () const
56{
57 return new Expr_ArgSinh(Expr::CopyShare(Operand()));
58}
59
60Standard_Boolean Expr_ArgSinh::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const
61{
62 if (!Other->IsKind(STANDARD_TYPE(Expr_ArgSinh))) {
63 return Standard_False;
64 }
65 Handle(Expr_GeneralExpression) op = Operand();
66 return op->IsIdentical(Other->SubExpression(1));
67}
68
69Standard_Boolean Expr_ArgSinh::IsLinear () const
70{
71 if (ContainsUnknowns()) {
72 return Standard_False;
73 }
74 return Standard_True;
75}
76
77Handle(Expr_GeneralExpression) Expr_ArgSinh::Derivative (const Handle(Expr_NamedUnknown)& X) const
78{
79 if (!Contains(X)) {
80 return new Expr_NumericValue(0.0);
81 }
82 Handle(Expr_GeneralExpression) op = Operand();
83 Handle(Expr_GeneralExpression) derop = op->Derivative(X);
84
85 Handle(Expr_Square) sq = new Expr_Square(Expr::CopyShare(op));
86 // X2 + 1
87 Handle(Expr_Sum) thesum = sq->ShallowSimplified() + 1.0;
88
89 // sqrt(X2 + 1)
90 Handle(Expr_SquareRoot) theroot = new Expr_SquareRoot(thesum->ShallowSimplified());
91
92 // ArgSinh'(F(X)) = F'(X)/sqrt(F(X)2+1)
93 Handle(Expr_Division) thediv = derop / theroot->ShallowSimplified();
94
95 return thediv->ShallowSimplified();
96}
97
98Standard_Real Expr_ArgSinh::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const
99{
100 Standard_Real val = Operand()->Evaluate(vars,vals);
101 return ::Log(val + ::Sqrt(::Square(val)+1.0));
102}
103
104TCollection_AsciiString Expr_ArgSinh::String() const
105{
106 TCollection_AsciiString str("ASinh(");
107 str += Operand()->String();
108 str += ")";
109 return str;
110}