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+
+
+package Rationals is
+
+
+ type Fraction is private;
+
+
+
+
+ function "+"
+ (Left, Right : in Fraction)
+ return Fraction;
+
+ function "+"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Fraction;
+
+ function "+"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Fraction;
+
+
+
+
+ function "-"
+ (Left, Right : in Fraction)
+ return Fraction;
+
+ function "-"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Fraction;
+
+ function "-"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Fraction;
+
+
+
+
+ function "-"
+ (Right : in Fraction)
+ return Fraction;
+
+
+
+
+ function "*"
+ (Left, Right : in Fraction)
+ return Fraction;
+
+ function "*"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Fraction;
+
+ function "*"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Fraction;
+
+
+
+
+ function "/"
+ (Left, Right : in Fraction)
+ return Fraction;
+
+ function "/"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Fraction;
+
+ function "/"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Fraction;
+
+ function "/"
+ (Left, Right : in Integer)
+ return Fraction;
+
+
+
+
+ function "="
+ (Left, Right : in Fraction)
+ return Boolean;
+
+ function "="
+ (Left : in Fraction;
+ Right : in Integer)
+ return Boolean;
+
+ function "="
+ (Left : in Integer;
+ Right : in Fraction)
+ return Boolean;
+
+
+
+
+ function "<="
+ (Left, Right : in Fraction)
+ return Boolean;
+
+ function "<="
+ (Left : in Fraction;
+ Right : in Integer)
+ return Boolean;
+
+ function "<="
+ (Left : in Integer;
+ Right : in Fraction)
+ return Boolean;
+
+
+
+
+ function "<"
+ (Left, Right : in Fraction)
+ return Boolean;
+
+ function "<"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Boolean;
+
+ function "<"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Boolean;
+
+
+
+
+ function ">="
+ (Left, Right : in Fraction)
+ return Boolean;
+
+ function ">="
+ (Left : in Fraction;
+ Right : in Integer)
+ return Boolean;
+
+ function ">="
+ (Left : in Integer;
+ Right : in Fraction)
+ return Boolean;
+
+
+
+
+ function ">"
+ (Left, Right : in Fraction)
+ return Boolean;
+
+ function ">"
+ (Left : in Fraction;
+ Right : in Integer)
+ return Boolean;
+
+ function ">"
+ (Left : in Integer;
+ Right : in Fraction)
+ return Boolean;
+
+
+
+
+ function Numerator
+ (Item : in Fraction)
+ return Integer;
+
+ function Denominator
+ (Item : in Fraction)
+ return Integer;
+
+ function Floor
+ (Item : in Fraction)
+ return Integer;
+
+ function Ceiling
+ (Item : in Fraction)
+ return Integer;
+
+ function Round
+ (Item : in Fraction)
+ return Integer;
+
+
+
+
+ function Image
+ (Item : in Fraction)
+ return String;
+
+ function Value
+ (Item : in String)
+ return Fraction;
+
+
+private
+
+
+ type Fraction is record
+ Num : Integer := 0;
+ Den : Integer := 1;
+ end record;
+
+
+end Rationals;
+
+