blob: 228a03bff0d8f6f3298ab05818263777138a9c94 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
|
//static const char* sccsid = "@(#)Expr_ArcSine.cxx 3.2 95/01/10"; // Do not delete this line. Used by sccs.
// Copyright: Matra-Datavision 1991
// File: Expr_ArcSine.cxx
// Created: Mon May 27 11:31:25 1991
// Author: Arnaud BOUZY
// <adn>
#include <Expr_ArcSine.ixx>
#include <Expr_NumericValue.hxx>
#include <Expr_Sine.hxx>
#include <Expr_Division.hxx>
#include <Expr_Square.hxx>
#include <Expr_Difference.hxx>
#include <Expr_SquareRoot.hxx>
#include <Expr_Operators.hxx>
#include <Expr.hxx>
Expr_ArcSine::Expr_ArcSine (const Handle(Expr_GeneralExpression)& exp)
{
CreateOperand(exp);
}
Handle(Expr_GeneralExpression) Expr_ArcSine::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(ASin(valop->GetValue()));
}
if (op->IsKind(STANDARD_TYPE(Expr_Sine))) {
return op->SubExpression(1);
}
Handle(Expr_ArcSine) me = this;
return me;
}
Handle(Expr_GeneralExpression) Expr_ArcSine::Copy () const
{
return new Expr_ArcSine(Expr::CopyShare(Operand()));
}
Standard_Boolean Expr_ArcSine::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const
{
if (!Other->IsKind(STANDARD_TYPE(Expr_ArcSine))) {
return Standard_False;
}
Handle(Expr_GeneralExpression) op = Operand();
return op->IsIdentical(Other->SubExpression(1));
}
Standard_Boolean Expr_ArcSine::IsLinear () const
{
if (ContainsUnknowns()) {
return Standard_False;
}
return Standard_True;
}
Handle(Expr_GeneralExpression) Expr_ArcSine::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();
// sqrt(1-X2)
Handle(Expr_SquareRoot) theroot = new Expr_SquareRoot(thedif->ShallowSimplified());
// ArcSine'(F(X)) = F'(X)/sqrt(1-F(X)2)
Handle(Expr_Division) thediv = derop / theroot->ShallowSimplified();
return thediv->ShallowSimplified();
}
Standard_Real Expr_ArcSine::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const
{
return ::ASin(Operand()->Evaluate(vars,vals));
}
TCollection_AsciiString Expr_ArcSine::String() const
{
TCollection_AsciiString str("ASin(");
str += Operand()->String();
str += ")";
return str;
}
|
