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TextFile

separate (Generic_Elementary_Functions)

function Cot (X : Float_Type) return Float_Type is

-- On input, X is a floating-point value in Float_Type;
-- On output, the value of cot(X) (the cotangent of X) is returned.

   Y, R1, R2, Sign_Y, Z, U, V : Common_Float;
   I_Flag, Sc_Flag            : Quadrant_Flag;

   Large_Threshold : constant Common_Float :=
      Common_Float (Radix) ** (Float_Type'Machine_Mantissa / 2);

   Two_Pi : constant Common_Float :=
      6.28318_53071_79586_47692_52867_66559_00576_83943_38798_75016;

begin

-- Argument reduction by KP_Pi2Rd

   if (X = 0.0) then
      raise Constraint_Error;
   end if;

   Y := Common_Float (X);

   if (abs (Y) > Large_Threshold) then
      Y := Y rem Two_Pi;
   end if;

   if (Y > 0.0) then
      Sign_Y := 1.0;
   else
      Sign_Y := -1.0;
      Y      := abs (Y);
   end if;

   Kp_Pi2rd (Y, R1, R2, I_Flag);

   Sc_Flag := I_Flag mod 2;

   U := Kf_Sin (R1, R2);
   V := Kf_Cos (R1, R2);

   if (Sc_Flag = 1) then
      Z := -U / V;
   else
      Z := V / U;
   end if;

   return (Float_Type (Sign_Y * Z));

end Cot;