/usr/share/ada/adainclude/gmpada/gnu_multiple_precision-aux.adb is in libgmpada3-dev 0.0.20120331-1.
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.IO_Exceptions;
with Ada.Unchecked_Deallocation;
package body GNU_Multiple_Precision.Aux is
type Char_Array_Access is access char_array;
procedure Free is new Ada.Unchecked_Deallocation (char_array,
Char_Array_Access);
-- Since we will allocate huge buffers, we have to allocate on the
-- heap to avoid stack overflow.
function Is_Digit (Item : Character;
Base : int)
return Boolean
is
begin
case Item is
when '0' .. '9' =>
return Character'Pos (Item) - Character'Pos ('0') < Base;
when 'A' .. 'F' =>
return Character'Pos (Item) - Character'Pos ('A') + 10 < Base;
when 'a' .. 'f' =>
return Character'Pos (Item) - Character'Pos ('a') + 10 < Base;
when others =>
return False;
end case;
end Is_Digit;
function Is_Blank (Item : Character) return Boolean
is
begin
return Item = ' ' or Item = ASCII.HT;
end Is_Blank;
procedure Put
(Put_Character : access procedure (Item : in Character);
Item : in Mpz_T;
Width : in Natural;
Base : in Integer)
is
Buffer : Char_Array_Access
:= new char_array (0 .. Mpz_Sizeinbase (Item, int (Base)) + 1);
Length : size_t
:= Buffer'Last - 2; -- no sign and mpz_sizeinbase overestimated
Negative : Boolean;
begin
Mpz_Get_Str (Buffer.all, int (Base), Item);
Negative := To_Ada (Buffer.all (0)) = '-';
while Buffer.all (Length) /= nul loop
Length := Length + 1;
end loop;
case Base is
when 2 .. 9 =>
for I in Natural (Length) + 4 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
Put_Character.all (Character'Val (Base + Character'Pos ('0')));
Put_Character.all ('#');
when 10 =>
for I in Natural (Length) + 1 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
when 11 .. 16 =>
for I in Natural (Length) + 5 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
Put_Character.all ('1');
Put_Character.all (Character'Val
(Base - 10 + Character'Pos ('0')));
Put_Character.all ('#');
when others =>
null;
pragma Assert (False);
end case;
if Negative then
for I in 1 .. Length - 1 loop
Put_Character.all (To_Ada (Buffer.all (I)));
end loop;
else
for I in 0 .. Length - 1 loop
Put_Character.all (To_Ada (Buffer.all (I)));
end loop;
end if;
if Base /= 10 then
Put_Character.all ('#');
end if;
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end Put;
procedure Put
(Put_Character : access procedure (Item : in Character);
Item : in Mpq_T;
Width : in Natural;
Base : in Integer)
is
Buffer : Char_Array_Access := new char_array
(0 .. Mpz_Sizeinbase (Mpq_Numref (Item).all, int (Base))
+ Mpz_Sizeinbase (Mpq_Denref (Item).all, int (Base)) + 2);
Length : size_t := Buffer'Last - 4;
-- no sign, no slash and both mpz_sizeinbase overestimated
Negative : Boolean;
begin
Mpq_Get_Str (Buffer.all, int (Base), Item);
Negative := To_Ada (Buffer.all (0)) = '-';
while Buffer.all (Length) /= nul loop
Length := Length + 1;
end loop;
case Base is
when 2 .. 9 =>
for I in Natural (Length) + 4 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
Put_Character.all (Character'Val (Base + Character'Pos ('0')));
Put_Character.all ('#');
when 10 =>
for I in Natural (Length) + 1 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
when 11 .. 16 =>
for I in Natural (Length) + 5 .. Width loop
Put_Character.all (' ');
end loop;
if Negative then Put_Character.all ('-'); end if;
Put_Character.all ('1');
Put_Character.all (Character'Val
(Base - 10 + Character'Pos ('0')));
Put_Character.all ('#');
when others =>
null;
pragma Assert (False);
end case;
if Negative then
for I in 1 .. Length - 1 loop
Put_Character.all (To_Ada (Buffer.all (I)));
end loop;
else
for I in 0 .. Length - 1 loop
Put_Character.all (To_Ada (Buffer.all (I)));
end loop;
end if;
if Base /= 10 then
Put_Character.all ('#');
end if;
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end Put;
procedure Put
(Put_Character : access procedure (Item : in Character);
Item : in Mpf_T;
Fore : in Natural;
Aft : in Natural;
Exp : in Natural)
is
Actual_Fore : constant Natural := Natural'Max (1, Fore);
Actual_Aft : constant Natural := Natural'Max (1, Aft);
Next_In : size_t := 1;
Exponent : Mp_Exp_T;
procedure Copy (Buffer : in char_array);
procedure Blank_And_Sign (Buffer : in char_array;
Filled_Fore : in Natural);
pragma Inline (Copy);
procedure Copy (Buffer : in char_array)
is
begin
if Buffer (Next_In) = nul then
Put_Character.all ('0');
else
pragma Assert (To_Ada (Buffer (Next_In)) in '0' .. '9'
or To_Ada (Buffer (Next_In)) = '-');
Put_Character.all (To_Ada (Buffer (Next_In)));
Next_In := Next_In + 1;
end if;
end Copy;
procedure Blank_And_Sign (Buffer : in char_array;
Filled_Fore : in Natural)
is
begin
if Buffer (Buffer'First) = To_C ('-') then
for I in Filled_Fore + 2 .. Actual_Fore loop
Put_Character.all (' ');
end loop;
Copy (Buffer);
else
for I in Filled_Fore + 1 .. Actual_Fore loop
Put_Character.all (' ');
end loop;
end if;
end Blank_And_Sign;
begin
if Exp > 0 then
declare
Buffer : Char_Array_Access
:= new char_array (1 .. size_t (Actual_Fore + Actual_Aft) + 2);
-- 2 for sign and nul
begin
Mpf_Get_Str (Buffer.all, Exponent, 10, Buffer'Length - 2, Item);
Blank_And_Sign (Buffer.all, 1);
if Buffer.all (Next_In) /= nul then
Exponent := Exponent - 1;
end if;
Copy (Buffer.all);
Put_Character.all ('.');
for I in 1 .. Actual_Aft loop Copy (Buffer.all); end loop;
Put_Character.all ('E');
declare
E_Img : String := Mp_Exp_T'Image (Exponent);
begin
if Exponent >= 0 then E_Img (1) := '+'; end if;
Put_Character.all (E_Img (1));
for I in E_Img'Length + 1 .. Exp loop
Put_Character.all ('0');
end loop;
for I in 2 .. E_Img'Last loop
Put_Character.all (E_Img (I));
end loop;
end;
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end;
else
declare
-- Say d = # decimal digits and b = # binary digits
-- 10^{d-1} \leqslant Arg < 10^d
-- \ln Arg < d\ln 10 \leqslant \ln Arg + \ln 10
-- \ln Arg < b\ln 2 \leqslant \ln Arg + \ln 2
-- d \leqslant \frac{\ln Arg}{\ln 10} + 1
-- < b\frac{\ln 2}{\ln 10} + 1 < b / 3 + 1
N_Digits : constant unsigned_long
:= unsigned_long'Max (1, Mpf_Get_Prec (Item) / 3);
-- We want to be sure to ask at least one digit, no C
-- allocated-string.
Buffer : Char_Array_Access
:= new char_array (1 .. size_t (N_Digits) + 2); -- sign nul
begin
Mpf_Get_Str (Buffer.all, Exponent, 10, Buffer'Length - 2, Item);
if Exponent > 0 then
Blank_And_Sign (Buffer.all, Natural (Exponent));
for I in 1 .. Exponent loop Copy (Buffer.all); end loop;
Put_Character.all ('.');
for I in 1 .. Actual_Aft loop Copy (Buffer.all); end loop;
else
Exponent := -Exponent;
Blank_And_Sign (Buffer.all, 1);
Put_Character.all ('0');
Put_Character.all ('.');
if Mp_Exp_T (Actual_Aft) <= Exponent then
for I in 1 .. Actual_Aft loop
Put_Character.all ('0');
end loop;
else
for I in 1 .. Exponent loop
Put_Character.all ('0');
end loop;
for I in Exponent + 1 .. Mp_Exp_T (Actual_Aft) loop
Copy (Buffer.all);
end loop;
end if;
end if;
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end;
end if;
end Put;
package body Generic_Scan is
procedure Blanks_And_Sign (Buffer : in out char_array;
Next_Out : in out size_t);
procedure Scan_Based_Numeral
(Action : access procedure; -- Consuming a digit
Base : in int);
procedure Copy (Buffer : in out char_array;
Next_Out : in out size_t);
procedure Copy_Numeral (Buffer : in out char_array;
Next_Out : in out size_t;
Dot_Seen : out Boolean;
Base : in int;
Allow_Dot : in Boolean);
procedure Copy_Literal (Buffer : in out char_array;
Next_Out : in out size_t;
Base : out int;
Allow_Float : in Boolean);
procedure Blanks_And_Sign (Buffer : in out char_array;
Next_Out : in out size_t)
is
begin
while Is_Blank (Next) loop
Consume;
end loop;
if Next = '+' then
Consume;
elsif Next = '-' then
Copy (Buffer, Next_Out);
end if;
end Blanks_And_Sign;
procedure Scan_Based_Numeral
(Action : access procedure; -- Consuming a digit
Base : in int)
is
Digit_Is_Mandatory : Boolean := True;
begin
loop
if Is_Digit (Next, Base) then
Action.all;
Digit_Is_Mandatory := False;
elsif Digit_Is_Mandatory then
raise Ada.IO_Exceptions.Data_Error;
elsif Next = '_' then
Digit_Is_Mandatory := True;
Consume;
else
return;
end if;
end loop;
end Scan_Based_Numeral;
pragma Inline (Copy);
procedure Copy (Buffer : in out char_array;
Next_Out : in out size_t)
is
begin
Buffer (Next_Out) := To_C (Next);
Next_Out := Next_Out + 1;
Consume;
end Copy;
procedure Copy_Numeral
(Buffer : in out char_array;
Next_Out : in out size_t;
Dot_Seen : out Boolean;
Base : in int;
Allow_Dot : in Boolean)
is
procedure Action;
procedure Action is begin Copy (Buffer, Next_Out); end Action;
begin
Dot_Seen := False;
if Allow_Dot and Next = '.' then
Copy (Buffer, Next_Out);
Dot_Seen := True;
end if;
Scan_Based_Numeral (Action'Access, Base);
if Allow_Dot and not Dot_Seen and Next = '.' then
Copy (Buffer, Next_Out);
Dot_Seen := True;
if Is_Digit (Next, Base) then
Scan_Based_Numeral (Action'Access, Base);
end if;
end if;
end Copy_Numeral;
procedure Copy_Literal
(Buffer : in out char_array;
Next_Out : in out size_t;
Base : out int;
Allow_Float : in Boolean)
is
Start : constant size_t := Next_Out;
Dot_Seen : Boolean;
begin
Copy_Numeral (Buffer, Next_Out, Dot_Seen, 10,
Allow_Dot => Allow_Float);
if Next /= '#' or Dot_Seen then
Base := 10;
else
Consume;
Base := 0;
for I in Start .. Next_Out - 1 loop
Base := Base * 10
+ char'Pos (Buffer (I)) - char'Pos (To_C ('0'));
if Base > 16 then raise Ada.IO_Exceptions.Data_Error; end if;
-- Check it before an overflow occurs.
end loop;
if Base < 2 then raise Ada.IO_Exceptions.Data_Error; end if;
Next_Out := Start;
Copy_Numeral (Buffer, Next_Out, Dot_Seen, Base,
Allow_Dot => Allow_Float);
if Next /= '#' then
raise Ada.IO_Exceptions.Data_Error;
end if;
Consume;
end if;
end Copy_Literal;
procedure Get_Mpz_T (Item : in out Mpz_T;
Width : in Natural)
is
Buffer : Char_Array_Access
:= new char_array (1 .. size_t (Width) + 1); -- Keep space for nul.
Next_Out : size_t := Buffer'First;
Base, Ret : int;
Exponent : unsigned_long := 0;
Temp : Mpz_T;
procedure Action;
procedure Action is begin
Exponent := Exponent * 10
+ Character'Pos (Next) - Character'Pos ('0');
Consume;
end Action;
begin
Blanks_And_Sign (Buffer.all, Next_Out);
Copy_Literal (Buffer.all, Next_Out, Base, Allow_Float => False);
Buffer.all (Next_Out) := nul;
Mpz_Set_Str (Ret, Item, Buffer.all, Base);
pragma Assert (Ret = 0);
if Next = 'E' or Next = 'e' then
Consume;
if Next = '+' then Consume; end if;
Scan_Based_Numeral (Action'Access, 10);
Mpz_Init (Temp);
Mpz_Ui_Pow_Ui (Temp, 10, Exponent);
pragma Warnings
(Off,
"writable actual for ""Rop"" overlaps with actual for ""Op1""");
Mpz_Mul (Item, Item, Temp);
pragma Warnings
(On,
"writable actual for ""Rop"" overlaps with actual for ""Op1""");
Mpz_Clear (Temp);
end if;
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end Get_Mpz_T;
procedure Get_Mpf_T (Item : in out Mpf_T;
Width : in Natural)
is
Buffer : Char_Array_Access
:= new char_array (1 .. size_t (Width) + 1); -- Keep space for nul.
Next_Out : size_t := Buffer'First;
Base, Ret : int;
Dot_Seen : Boolean;
begin
Blanks_And_Sign (Buffer.all, Next_Out);
Copy_Literal (Buffer.all, Next_Out, Base, Allow_Float => True);
if Next = 'E' or Next = 'e' then
Consume;
Buffer.all (Next_Out) := To_C ('@');
Next_Out := Next_Out + 1;
if Next = '+' then
Consume;
elsif Next = '-' then
Copy (Buffer.all, Next_Out);
end if;
Copy_Numeral (Buffer.all, Next_Out, Dot_Seen, 10,
Allow_Dot => False);
end if;
Buffer.all (Next_Out) := nul;
Mpf_Set_Str (Ret, Item, Buffer.all, -Base);
pragma Assert (Ret = 0);
Free (Buffer);
exception
when others =>
Free (Buffer);
raise;
end Get_Mpf_T;
end Generic_Scan;
end GNU_Multiple_Precision.Aux;
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