/usr/share/ada/adainclude/gmpada/gnu_multiple_precision-big_rationals.adb is in libgmpada3-dev 0.0.20110925-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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-- Copyright (C) 2007-2011 Nicolas Boulenguez <nicolas.boulenguez@free.fr>
--
-- This program is free software: you can redistribute it and/or modify
-- it under the terms of the GNU General Public License as published by
-- the Free Software Foundation, either version 3 of the License, or
-- (at your option) any later version.
--
-- This program is distributed in the hope that it will be useful,
-- but WITHOUT ANY WARRANTY; without even the implied warranty of
-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-- GNU General Public License for more details.
--
-- You should have received a copy of the GNU General Public License
-- along with this program. If not, see <http://www.gnu.org/licenses/>.
with Ada.Characters.Conversions;
with Interfaces.C; use Interfaces.C;
with GMP.Binding; use GMP.Binding;
with GNU_Multiple_Precision.Aux;
package body GNU_Multiple_Precision.Big_Rationals is
procedure Canonicalize (Op : in out Big_Rational)
is
begin
Mpq_Canonicalize (Op.Value);
end Canonicalize;
procedure Set
(Rop : in out Big_Rational;
Op : in Big_Rational)
is
begin
Mpq_Set (Rop.Value, Op.Value);
end Set;
function "+" (Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Set (Result, Right);
return Result;
end "+";
procedure Swap (Rop1, Rop2 : in out Big_Rational)
is
begin
Mpq_Swap (Rop1.Value, Rop2.Value);
end Swap;
function Image (Arg : Big_Rational) return String
is
Result : String
(1 .. Integer (Mpz_Sizeinbase (Mpq_Numref (Arg.Value).all, 10)
+ Mpz_Sizeinbase (Mpq_Denref (Arg.Value).all, 10) + 2));
Last : Natural := Result'First - 1;
procedure Put_Character (C : in Character);
procedure Put_Character (C : in Character) is
begin
Last := Last + 1;
Result (Last) := C;
end Put_Character;
begin
if Mpq_Sgn (Arg.Value) >= 0 then
Put_Character (' ');
end if;
GNU_Multiple_Precision.Aux.Put (Put_Character'Access, Arg.Value, 0, 10);
return Result (Result'First .. Last);
end Image;
function Wide_Image (Arg : Big_Rational) return Wide_String
is
begin
return Ada.Characters.Conversions.To_Wide_String (Image (Arg));
end Wide_Image;
function Wide_Wide_Image (Arg : Big_Rational) return Wide_Wide_String
is
begin
return Ada.Characters.Conversions.To_Wide_Wide_String (Image (Arg));
end Wide_Wide_Image;
procedure Add
(Sum : in out Big_Rational;
Addend1, Addend2 : in Big_Rational)
is
begin
Mpq_Add (Sum.Value, Addend1.Value, Addend2.Value);
end Add;
function "+" (Left, Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Add (Result, Left, Right);
return Result;
end "+";
procedure Subtract
(Difference : in out Big_Rational;
Minuend, Subtrahend : in Big_Rational)
is
begin
Mpq_Sub (Difference.Value, Minuend.Value, Subtrahend.Value);
end Subtract;
function "-" (Left, Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Subtract (Result, Left, Right);
return Result;
end "-";
procedure Multiply
(Product : in out Big_Rational;
Multiplier, Multiplicand : in Big_Rational)
is
begin
Mpq_Mul (Product.Value, Multiplier.Value, Multiplicand.Value);
end Multiply;
function "*" (Left, Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Multiply (Result, Left, Right);
return Result;
end "*";
procedure Multiply_2exp
(Rop : in out Big_Rational;
Op1 : in Big_Rational;
Op2 : in Bit_Count)
is
begin
Mpq_Mul_2exp (Rop.Value, Op1.Value, Op2);
end Multiply_2exp;
procedure Divide
(Quotient : in out Big_Rational;
Dividend, Divisor : in Big_Rational)
is
begin
Mpq_Div (Quotient.Value, Dividend.Value, Divisor.Value);
end Divide;
function "/" (Left, Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Divide (Result, Left, Right);
return Result;
end "/";
procedure Negate
(Negated_Operand : in out Big_Rational;
Operand : in Big_Rational)
is
begin
Mpq_Neg (Negated_Operand.Value, Operand.Value);
end Negate;
function "-" (Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Negate (Result, Right);
return Result;
end "-";
procedure Absolute_Value
(Rop : in out Big_Rational;
Op : in Big_Rational)
is
begin
Mpq_Abs (Rop.Value, Op.Value);
end Absolute_Value;
function "abs" (Right : Big_Rational) return Big_Rational
is
Result : Big_Rational;
begin
Absolute_Value (Result, Right);
return Result;
end "abs";
procedure Invert
(Inverted_Number : in out Big_Rational;
Number : in Big_Rational)
is
begin
Mpq_Inv (Inverted_Number.Value, Number.Value);
end Invert;
procedure Exponentiate
(Rop : in out Big_Rational;
Op : in Big_Rational;
Exponent : in Integer'Base)
is
begin
Mpz_Pow_Ui (Mpq_Numref (Rop.Value).all, Mpq_Numref (Op.Value).all, unsigned_long (abs Exponent));
Mpz_Pow_Ui (Mpq_Denref (Rop.Value).all, Mpq_Denref (Op.Value).all, unsigned_long (abs Exponent));
if Exponent < 0 then
pragma Warnings (Off, "writable actual for ""Inverted_Number"" overlaps with actual for ""Number""");
Mpq_Inv (Rop.Value, Rop.Value);
pragma Warnings (On, "writable actual for ""Inverted_Number"" overlaps with actual for ""Number""");
end if;
end Exponentiate;
function "**" (Left : Big_Rational;
Right : Integer'Base) return Big_Rational
is
Result : Big_Rational;
begin
Exponentiate (Result, Left, Right);
return Result;
end "**";
function "<" (Left, Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp (Left.Value, Right.Value) < 0;
end "<";
function "<=" (Left, Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp (Left.Value, Right.Value) <= 0;
end "<=";
function ">" (Left, Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp (Left.Value, Right.Value) > 0;
end ">";
function ">=" (Left, Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp (Left.Value, Right.Value) >= 0;
end ">=";
function Sign (Item : Big_Rational) return A_Sign
is
begin
return A_Sign (Mpq_Sgn (Item.Value));
end Sign;
package body Integer_Conversions is
procedure Set
(Rop : in out Big_Rational;
Numerator : in Num;
Denominator : in Positive_Num;
Canonicalize : in Boolean := True)
is
begin
Mpq_Set_Si (Rop.Value, long (Numerator), unsigned_long (Denominator));
if Canonicalize then
Mpq_Canonicalize (Rop.Value);
end if;
end Set;
function To_Big_Rational (Item : Num) return Big_Rational
is
Result : Big_Rational;
begin
Mpq_Set_Si (Result.Value, long (Item), 1);
return Result;
end To_Big_Rational;
function Fits_In_Num (Item : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Item.Value, long (Num'First), 1) >= 0
and Mpq_Cmp_Si (Item.Value, long (Num'Last), 1) <= 0;
end Fits_In_Num;
function To_Num (Item : Big_Rational) return Num
is
begin
return Num (Mpq_Get_D (Item.Value));
end To_Num;
function "=" (Left : Big_Rational; Right : Num) return Boolean
is
begin
return Mpq_Cmp_Si (Left.Value, long (Right), 1) = 0;
end "=";
function "=" (Left : Num; Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Right.Value, long (Left), 1) = 0;
end "=";
function "<" (Left : Big_Rational; Right : Num) return Boolean
is
begin
return Mpq_Cmp_Si (Left.Value, long (Right), 1) < 0;
end "<";
function "<" (Left : Num; Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Right.Value, long (Left), 1) > 0;
end "<";
function "<=" (Left : Big_Rational; Right : Num) return Boolean
is
begin
return Mpq_Cmp_Si (Left.Value, long (Right), 1) <= 0;
end "<=";
function "<=" (Left : Num; Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Right.Value, long (Left), 1) >= 0;
end "<=";
function ">" (Left : Big_Rational; Right : Num) return Boolean
is
begin
return Mpq_Cmp_Si (Left.Value, long (Right), 1) > 0;
end ">";
function ">" (Left : Num; Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Right.Value, long (Left), 1) < 0;
end ">";
function ">=" (Left : Big_Rational; Right : Num) return Boolean
is
begin
return Mpq_Cmp_Si (Left.Value, long (Right), 1) >= 0;
end ">=";
function ">=" (Left : Num; Right : Big_Rational) return Boolean
is
begin
return Mpq_Cmp_Si (Right.Value, long (Left), 1) <= 0;
end ">=";
function Compare
(Left : Big_Rational;
Right_Numerator : Num;
Right_Denominator : Positive_Num)
return A_Comparison
is
begin
return Mpq_Cmp_Si (Left.Value,
long (Right_Numerator),
unsigned_long (Right_Denominator));
end Compare;
end Integer_Conversions;
package body Float_Conversions is
procedure Set
(Rop : in out Big_Rational;
Op : in Num)
is
begin
Mpq_Set_D (Rop.Value, double (Op));
end Set;
function To_Big_Rational (Item : Num) return Big_Rational
is
Result : Big_Rational;
begin
Set (Result, Item);
return Result;
end To_Big_Rational;
function To_Num (Item : Big_Rational) return Num
is
begin
return Num (Mpq_Get_D (Item.Value));
end To_Num;
end Float_Conversions;
procedure Set (Rop : in out Big_Integer;
Op : in Big_Rational)
is
begin
Mpz_Set_Q (Rop.Value, Op.Value);
end Set;
procedure Set (Rop : in out Big_Rational;
Op : in Big_Integer)
is
begin
Mpq_Set_Z (Rop.Value, Op.Value);
end Set;
procedure Set_Numerator
(Item : in out Big_Rational;
New_Value : in Big_Integer;
Canonicalize : in Boolean := True)
is
begin
Mpz_Set (Mpq_Numref (Item.Value).all, New_Value.Value);
if Canonicalize then
Mpq_Canonicalize (Item.Value);
end if;
end Set_Numerator;
procedure Set_Denominator
(Item : in out Big_Rational;
New_Value : in Big_Integer;
Canonicalize : in Boolean := True)
is
begin
Mpz_Set (Mpq_Denref (Item.Value).all, New_Value.Value);
if Canonicalize then
Mpq_Canonicalize (Item.Value);
end if;
end Set_Denominator;
function To_Big_Integer (Item : Big_Rational) return Big_Integer
is
Result : Big_Integer;
begin
Set (Result, Item);
return Result;
end To_Big_Integer;
function To_Big_Rational (Item : Big_Integer) return Big_Rational
is
Result : Big_Rational;
begin
Set (Result, Item);
return Result;
end To_Big_Rational;
procedure Get_Numerator
(Value : in out Big_Integer;
Item : in Big_Rational)
is
begin
Mpz_Set (Value.Value, Mpq_Numref (Item.Value).all);
end Get_Numerator;
function Numerator (Item : Big_Rational) return Big_Integer
is
Result : Big_Integer;
begin
Get_Numerator (Result, Item);
return Result;
end Numerator;
procedure Get_Denominator
(Value : in out Big_Integer;
Item : in Big_Rational)
is
begin
Mpz_Set (Value.Value, Mpq_Denref (Item.Value).all);
end Get_Denominator;
function Denominator (Item : Big_Rational) return Big_Integer
is
Result : Big_Integer;
begin
Get_Denominator (Result, Item);
return Result;
end Denominator;
procedure Set (Rop : in out Big_Rational;
Op : in Big_Float)
is
begin
Mpq_Set_F (Rop.Value, Op.Value);
end Set;
procedure Set (Rop : in out Big_Float;
Op : in Big_Rational)
is
begin
Mpf_Set_Q (Rop.Value, Op.Value);
end Set;
end GNU_Multiple_Precision.Big_Rationals;
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