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1 | // Copyright: Matra-Datavision 1991 |
| 2 | // File: Expr_ArcSine.cxx |
| 3 | // Created: Mon May 27 11:31:25 1991 |
| 4 | // Author: Arnaud BOUZY |
| 5 | // <adn> |
| 6 | |
| 7 | #include <Expr_ArcSine.ixx> |
| 8 | #include <Expr_NumericValue.hxx> |
| 9 | #include <Expr_Sine.hxx> |
| 10 | #include <Expr_Division.hxx> |
| 11 | #include <Expr_Square.hxx> |
| 12 | #include <Expr_Difference.hxx> |
| 13 | #include <Expr_SquareRoot.hxx> |
| 14 | #include <Expr_Operators.hxx> |
| 15 | #include <Expr.hxx> |
| 16 | |
| 17 | Expr_ArcSine::Expr_ArcSine (const Handle(Expr_GeneralExpression)& exp) |
| 18 | { |
| 19 | CreateOperand(exp); |
| 20 | } |
| 21 | |
| 22 | Handle(Expr_GeneralExpression) Expr_ArcSine::ShallowSimplified () const |
| 23 | { |
| 24 | Handle(Expr_GeneralExpression) op = Operand(); |
| 25 | if (op->IsKind(STANDARD_TYPE(Expr_NumericValue))) { |
| 26 | Handle(Expr_NumericValue) valop = Handle(Expr_NumericValue)::DownCast(op); |
| 27 | return new Expr_NumericValue(ASin(valop->GetValue())); |
| 28 | } |
| 29 | if (op->IsKind(STANDARD_TYPE(Expr_Sine))) { |
| 30 | return op->SubExpression(1); |
| 31 | } |
| 32 | Handle(Expr_ArcSine) me = this; |
| 33 | return me; |
| 34 | } |
| 35 | |
| 36 | Handle(Expr_GeneralExpression) Expr_ArcSine::Copy () const |
| 37 | { |
| 38 | return new Expr_ArcSine(Expr::CopyShare(Operand())); |
| 39 | } |
| 40 | |
| 41 | Standard_Boolean Expr_ArcSine::IsIdentical (const Handle(Expr_GeneralExpression)& Other) const |
| 42 | { |
| 43 | if (!Other->IsKind(STANDARD_TYPE(Expr_ArcSine))) { |
| 44 | return Standard_False; |
| 45 | } |
| 46 | Handle(Expr_GeneralExpression) op = Operand(); |
| 47 | return op->IsIdentical(Other->SubExpression(1)); |
| 48 | } |
| 49 | |
| 50 | Standard_Boolean Expr_ArcSine::IsLinear () const |
| 51 | { |
| 52 | if (ContainsUnknowns()) { |
| 53 | return Standard_False; |
| 54 | } |
| 55 | return Standard_True; |
| 56 | } |
| 57 | |
| 58 | Handle(Expr_GeneralExpression) Expr_ArcSine::Derivative (const Handle(Expr_NamedUnknown)& X) const |
| 59 | { |
| 60 | if (!Contains(X)) { |
| 61 | return new Expr_NumericValue(0.0); |
| 62 | } |
| 63 | Handle(Expr_GeneralExpression) op = Operand(); |
| 64 | Handle(Expr_GeneralExpression) derop = op->Derivative(X); |
| 65 | |
| 66 | Handle(Expr_Square) sq = new Expr_Square(Expr::CopyShare(op)); |
| 67 | // 1 - X2 |
| 68 | Handle(Expr_Difference) thedif = 1.0 - sq->ShallowSimplified(); |
| 69 | |
| 70 | // sqrt(1-X2) |
| 71 | Handle(Expr_SquareRoot) theroot = new Expr_SquareRoot(thedif->ShallowSimplified()); |
| 72 | |
| 73 | // ArcSine'(F(X)) = F'(X)/sqrt(1-F(X)2) |
| 74 | Handle(Expr_Division) thediv = derop / theroot->ShallowSimplified(); |
| 75 | |
| 76 | return thediv->ShallowSimplified(); |
| 77 | } |
| 78 | |
| 79 | Standard_Real Expr_ArcSine::Evaluate(const Expr_Array1OfNamedUnknown& vars, const TColStd_Array1OfReal& vals) const |
| 80 | { |
| 81 | return ::ASin(Operand()->Evaluate(vars,vals)); |
| 82 | } |
| 83 | |
| 84 | TCollection_AsciiString Expr_ArcSine::String() const |
| 85 | { |
| 86 | TCollection_AsciiString str("ASin("); |
| 87 | str += Operand()->String(); |
| 88 | str += ")"; |
| 89 | return str; |
| 90 | } |
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