1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
|
------------------------------------------------------------------------------
-- --
-- GNAT COMPILER COMPONENTS --
-- --
-- S Y S T E M . B I G N U M S --
-- --
-- B o d y --
-- --
-- Copyright (C) 2012-2024, 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- --
-- ware Foundation; either version 3, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
-- --
-- GNAT was originally developed by the GNAT team at New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc. --
-- --
------------------------------------------------------------------------------
with System.Generic_Bignums;
with System.Secondary_Stack; use System.Secondary_Stack;
with System.Shared_Bignums; use System.Shared_Bignums;
with System.Storage_Elements; use System.Storage_Elements;
package body System.Bignums is
function Allocate_Bignum (D : Digit_Vector; Neg : Boolean) return Bignum;
-- Allocate Bignum value with the given contents
procedure Free_Bignum (X : in out Bignum) is null;
-- No op when using the secondary stack
function To_Bignum (X : aliased in out Bignum) return Bignum is (X);
---------------------
-- Allocate_Bignum --
---------------------
function Allocate_Bignum (D : Digit_Vector; Neg : Boolean) return Bignum is
Addr : aliased Address;
begin
-- Note: The approach used here is designed to avoid strict aliasing
-- warnings that appeared previously using unchecked conversion.
SS_Allocate (Addr, Storage_Offset (4 + 4 * D'Length));
declare
B : Bignum;
for B'Address use Addr'Address;
pragma Import (Ada, B);
BD : Bignum_Data (D'Length);
for BD'Address use Addr;
pragma Import (Ada, BD);
-- Expose a writable view of discriminant BD.Len so that we can
-- initialize it. We need to use the exact layout of the record
-- to ensure that the Length field has 24 bits as expected.
type Bignum_Data_Header is record
Len : Length;
Neg : Boolean;
end record;
for Bignum_Data_Header use record
Len at 0 range 0 .. 23;
Neg at 3 range 0 .. 7;
end record;
BDH : Bignum_Data_Header;
for BDH'Address use BD'Address;
pragma Import (Ada, BDH);
pragma Assert (BDH.Len'Size = BD.Len'Size);
begin
BDH.Len := D'Length;
BDH.Neg := Neg;
B.D := D;
return B;
end;
end Allocate_Bignum;
package Sec_Stack_Bignums is new System.Generic_Bignums
(Bignum, Allocate_Bignum, Free_Bignum, To_Bignum);
function Big_Add (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Add;
function Big_Sub (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Sub;
function Big_Mul (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Mul;
function Big_Div (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Div;
function Big_Exp (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Exp;
function Big_Mod (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Mod;
function Big_Rem (X, Y : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Rem;
function Big_Neg (X : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Neg;
function Big_Abs (X : Bignum) return Bignum
renames Sec_Stack_Bignums.Big_Abs;
function Big_EQ (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_EQ;
function Big_NE (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_NE;
function Big_GE (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_GE;
function Big_LE (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_LE;
function Big_GT (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_GT;
function Big_LT (X, Y : Bignum) return Boolean
renames Sec_Stack_Bignums.Big_LT;
function Bignum_In_LLI_Range (X : Bignum) return Boolean
renames Sec_Stack_Bignums.Bignum_In_LLI_Range;
function To_Bignum (X : Long_Long_Integer) return Bignum
renames Sec_Stack_Bignums.To_Bignum;
function From_Bignum (X : Bignum) return Long_Long_Integer
renames Sec_Stack_Bignums.From_Bignum;
end System.Bignums;
|