unit Myc.Ast.RTL.Math; interface uses System.SysUtils, System.Math, Myc.Data.Scalar, Myc.Data.Value, Myc.Ast.Attributes; type TRtlMathFunctions = record public // --- Math Functions --- [TRtlExport('abs', Pure)] [AstDoc('Returns the absolute value of a number.')] [AstSignature('(number) -> number')] class function Abs(const Arg: TScalar): TScalar; static; [TRtlExport('round', Pure)] [AstDoc('Rounds a float to the nearest integer.')] [AstSignature('(number) -> number')] class function Round(const Arg: TScalar): TScalar; static; [TRtlExport('trunc', Pure)] [AstDoc('Returns the integer part of a float.')] [AstSignature('(number) -> number')] class function Trunc(const Arg: TScalar): TScalar; static; [TRtlExport('ceil', Pure)] [AstDoc('Returns the smallest integer >= the argument.')] [AstSignature('(number) -> number')] class function Ceil(const Arg: TScalar): TScalar; static; [TRtlExport('floor', Pure)] [AstDoc('Returns the largest integer <= the argument.')] [AstSignature('(number) -> number')] class function Floor(const Arg: TScalar): TScalar; static; [TRtlExport('sign', Pure)] [AstDoc('Returns -1 for negative, 1 for positive, 0 for zero.')] [AstSignature('(number) -> number')] class function Sign(const Arg: TScalar): TScalar; static; [TRtlExport('sqrt', Pure)] [AstDoc('Returns the square root of a number.')] [AstSignature('(number) -> number')] class function Sqrt(const Arg: TScalar): TScalar; static; [TRtlExport('pow', Pure)] [AstDoc('Returns Base raised to the power of Exponent.')] [AstSignature('(number, number) -> number')] class function Pow(const Args: TArray): TDataValue; static; [TRtlExport('random', Impure)] [AstDoc('Returns a random number. No args: [0..1). Arg N: Integer [0..N).')] [AstSignature('() -> float')] [AstSignature('(number) -> number')] class function Random(const Args: TArray): TDataValue; static; // --- Static Specializations --- [TRtlExport('abs', Pure)] class function Abs_Ordinal_Ordinal(A: Int64): Int64; static; [TRtlExport('abs', Pure)] class function Abs_Float_Float(A: Double): Double; static; [TRtlExport('round', Pure)] class function Round_Ordinal_Ordinal(A: Int64): Int64; static; [TRtlExport('round', Pure)] class function Round_Float_Ordinal(A: Double): Int64; static; [TRtlExport('trunc', Pure)] class function Trunc_Ordinal_Ordinal(A: Int64): Int64; static; [TRtlExport('trunc', Pure)] class function Trunc_Float_Ordinal(A: Double): Int64; static; [TRtlExport('sqrt', Pure)] class function Sqrt_Ordinal_Float(A: Int64): Double; static; [TRtlExport('sqrt', Pure)] class function Sqrt_Float_Float(A: Double): Double; static; [TRtlExport('pow', Pure)] class function Pow_Ordinal_Ordinal_Float(A, B: Int64): Double; static; [TRtlExport('pow', Pure)] class function Pow_Float_Float_Float(A, B: Double): Double; static; [TRtlExport('pow', Pure)] class function Pow_Ordinal_Float_Float(A: Int64; B: Double): Double; static; [TRtlExport('pow', Pure)] class function Pow_Float_Ordinal_Float(A: Double; B: Int64): Double; static; [TRtlExport('random', Impure)] class function Random_Void_Float: Double; static; [TRtlExport('random', Impure)] class function Random_Ordinal_Ordinal(Limit: Int64): Int64; static; end; implementation { TRtlMathFunctions } class function TRtlMathFunctions.Abs(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := TScalar.FromInt64(System.Abs(Arg.Value.AsInt64)); TScalar.TKind.Float, TScalar.TKind.DateTime: Result := TScalar.FromDouble(System.Abs(Arg.Value.AsDouble)); else raise EArgumentException.Create('Abs requires a numeric argument.'); end; end; class function TRtlMathFunctions.Round(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := Arg; TScalar.TKind.Float, TScalar.TKind.DateTime: begin var val: Double := Arg.Value.AsDouble; Result := TScalar.FromInt64(System.Round(val)); end; else raise EArgumentException.Create('Round requires a numeric argument.'); end; end; class function TRtlMathFunctions.Trunc(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := Arg; TScalar.TKind.Float, TScalar.TKind.DateTime: begin var val: Double := Arg.Value.AsDouble; Result := TScalar.FromInt64(System.Trunc(val)); end; else raise EArgumentException.Create('Trunc requires a numeric argument.'); end; end; class function TRtlMathFunctions.Ceil(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := Arg; TScalar.TKind.Float, TScalar.TKind.DateTime: Result := TScalar.FromInt64(System.Math.Ceil(Arg.Value.AsDouble)); else raise EArgumentException.Create('Ceil requires a numeric argument.'); end; end; class function TRtlMathFunctions.Floor(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := Arg; TScalar.TKind.Float, TScalar.TKind.DateTime: Result := TScalar.FromInt64(System.Math.Floor(Arg.Value.AsDouble)); else raise EArgumentException.Create('Floor requires a numeric argument.'); end; end; class function TRtlMathFunctions.Sign(const Arg: TScalar): TScalar; begin case Arg.Kind of TScalar.TKind.Ordinal: Result := TScalar.FromInt64(System.Math.Sign(Arg.Value.AsInt64)); TScalar.TKind.Float, TScalar.TKind.DateTime: Result := TScalar.FromInt64(System.Math.Sign(Arg.Value.AsDouble)); else raise EArgumentException.Create('Sign requires a numeric argument.'); end; end; class function TRtlMathFunctions.Sqrt(const Arg: TScalar): TScalar; begin var val: Double := Arg; // Implicit cast handles Ordinal and Float Result := TScalar.FromDouble(System.Sqrt(val)); end; class function TRtlMathFunctions.Pow(const Args: TArray): TDataValue; begin if Length(Args) <> 2 then raise EArgumentException.Create('Pow requires 2 arguments (Base, Exponent).'); var baseVal: Double := Args[0].AsScalar; var expVal: Double := Args[1].AsScalar; Result := TScalar.FromDouble(System.Math.Power(baseVal, expVal)); end; class function TRtlMathFunctions.Random(const Args: TArray): TDataValue; begin if Length(Args) = 0 then Result := TScalar.FromDouble(System.Random) else if (Length(Args) = 1) and (Args[0].AsScalar.Kind = TScalar.TKind.Ordinal) then Result := TScalar.FromInt64(System.Random(Integer(Args[0].AsScalar.Value.AsInt64))) else raise EArgumentException.Create('Random expects 0 arguments or 1 integer argument.'); end; // --- Static Specializations --- class function TRtlMathFunctions.Abs_Ordinal_Ordinal(A: Int64): Int64; begin Result := System.Abs(A); end; class function TRtlMathFunctions.Abs_Float_Float(A: Double): Double; begin Result := System.Abs(A); end; class function TRtlMathFunctions.Round_Ordinal_Ordinal(A: Int64): Int64; begin Result := A; end; class function TRtlMathFunctions.Round_Float_Ordinal(A: Double): Int64; begin Result := System.Round(A); end; class function TRtlMathFunctions.Trunc_Ordinal_Ordinal(A: Int64): Int64; begin Result := A; end; class function TRtlMathFunctions.Trunc_Float_Ordinal(A: Double): Int64; begin Result := System.Trunc(A); end; class function TRtlMathFunctions.Sqrt_Ordinal_Float(A: Int64): Double; begin Result := System.Sqrt(A); end; class function TRtlMathFunctions.Sqrt_Float_Float(A: Double): Double; begin Result := System.Sqrt(A); end; class function TRtlMathFunctions.Pow_Ordinal_Ordinal_Float(A, B: Int64): Double; begin Result := System.Math.Power(A, B); end; class function TRtlMathFunctions.Pow_Float_Float_Float(A, B: Double): Double; begin Result := System.Math.Power(A, B); end; class function TRtlMathFunctions.Pow_Ordinal_Float_Float(A: Int64; B: Double): Double; begin Result := System.Math.Power(A, B); end; class function TRtlMathFunctions.Pow_Float_Ordinal_Float(A: Double; B: Int64): Double; begin Result := System.Math.Power(A, B); end; class function TRtlMathFunctions.Random_Void_Float: Double; begin Result := System.Random; end; class function TRtlMathFunctions.Random_Ordinal_Ordinal(Limit: Int64): Int64; begin Result := System.Random(Limit); end; end.