GENERIC INTERFACEFractionBasic (R);
Arithmetic for Modula-3, see doc for detailsAbstract: Generic fraction type
Instantiate with integers, polynomials
FROM Arithmetic IMPORT Error; CONST Brand = R.Brand & "Fraction"; TYPE T = RECORD n, d: R.T; END; (* Numerator, Denominator *) QuotRem = RECORD quot, rem: T END;* CONST Zero = T{n:=R.Zero, d:=R.One}; One = T{n:=R.One, d:=R.One}; MinusOne = T{n:=R.MinusOne, d:=R.One}; Zero and One aren't constants in some modules
VAR Zero: T; One : T;
MinusOne : T;
<* INLINE *>
PROCEDURE Add (READONLY x, y: T; ): T; (* x+y *)
<* INLINE *>
PROCEDURE Sub (READONLY x, y: T; ): T; (* x-y *)
<* INLINE *>
PROCEDURE Neg (READONLY x: T; ): T; (* -x *)
<* INLINE *>
PROCEDURE Conj (READONLY x: T; ): T; (* complex conjugate of x *)
<* INLINE *>
PROCEDURE IsZero (READONLY x: T; ): BOOLEAN;
PROCEDURE Equal (READONLY x, y: T; ): BOOLEAN; (* x=y *)
PROCEDURE Compare (READONLY x, y: T; ): [-1 .. 1];
<* INLINE *>
PROCEDURE Mul (READONLY x, y: T; ): T; (* x*y *)
<* INLINE *>
PROCEDURE Div (READONLY x, y: T; ): T RAISES {Error}; (* x/y *)
<* INLINE *>
PROCEDURE Rec (READONLY x: T; ): T RAISES {Error}; (* 1/x *)
<* INLINE *>
PROCEDURE Mod (READONLY x, y: T; ): T RAISES {Error}; (* x mod y *)
<* INLINE *>
PROCEDURE DivMod (x, y: T; ): QuotRem
RAISES {Error}; (* x/y and write the remainder (0) in r *)
<* INLINE *>
PROCEDURE IntMod (READONLY x, y: T; ): T RAISES {Error}; (* x mod y *)
<* INLINE *>
PROCEDURE Square (READONLY x: T; ): T; (* x*x *)
<* INLINE *>
PROCEDURE Scale (READONLY x: T; y: R.T; ): T; (* x*y *)
END FractionBasic.