GENERIC INTERFACEComplexBasic (R);
Arithmetic for Modula-3, see doc for detailsAbstract: Generic complex number type
Instantiate with RealBasic, LongRealBasic, ExtendedBasic, IntegerBasic
FROM Arithmetic IMPORT Error; CONST Brand = R.Brand & "Complex"; TYPE T = RECORD re, im: R.T; END; QuotRem = RECORD quot, rem: T; END;Zero and One non-constant in some modules CONST Zero = T{re:=R.Zero, im:=R.Zero}; One = T{re:=R.One, im:=R.Zero}; I = T{re:=R.Zero, im:=R.One}; MinusOne = T{re:=R.MinusOne, im:=R.Zero};
VAR
Zero : T;
One : T;
I : 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;
<* INLINE *>
PROCEDURE Equal (READONLY x, y: T; ): BOOLEAN; (* x=y *)
<* 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 (READONLY x, y: T; ): QuotRem
RAISES {Error}; (* return x/y and 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 ComplexBasic.