-- --
-- B o d y --
-- --
--- --
--- Copyright (C) 1992-2001 Free Software Foundation, Inc.
+-- Copyright (C) 1992-2003 Free Software Foundation, Inc. --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
Result : Complex;
begin
+ -- For very small argument, sin (x) = x.
+
if abs Re (X) < Square_Root_Epsilon and then
abs Im (X) < Square_Root_Epsilon
then
elsif Im (Result) < -PI_2 then
Set_Im (Result, -(PI + Im (X)));
end if;
+
+ return Result;
end if;
Result := -Complex_I * Log (Complex_I * X + Sqrt (1.0 - X * X));
---------
function Exp (X : Complex) return Complex is
- EXP_RE_X : Real'Base := Exp (Re (X));
+ EXP_RE_X : constant Real'Base := Exp (Re (X));
begin
return Compose_From_Cartesian (EXP_RE_X * Cos (Im (X)),
EXP_RE_X * Sin (Im (X)));
end Exp;
-
function Exp (X : Imaginary) return Complex is
- ImX : Real'Base := Im (X);
+ ImX : constant Real'Base := Im (X);
begin
return Compose_From_Cartesian (Cos (ImX), Sin (ImX));