summaryrefslogtreecommitdiff
path: root/src/rationals.ads
blob: bfd512f2a3a64a06ecef4aa05d5e29fb9fc8cdcd (plain)
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
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262


private with

    Ada.Finalization,
    Interfaces.C;


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 Long_Integer;

    function Denominator
           (Item : in Fraction)
        return Long_Integer;

    function Floor
           (Item : in Fraction)
        return Long_Integer;

    function Ceiling
           (Item : in Fraction)
        return Long_Integer;

    function Round
           (Item : in Fraction)
        return Long_Integer;


private


    --  Types necessary to bind to GMP
    type mp_limb_t is new Interfaces.C.unsigned;
    type mp_ptr is access mp_limb_t;

    type mpz_t is record
        mp_alloc, mp_size : Interfaces.C.int;
        mp_d              : mp_ptr;
    end record;

    type mpq_t is record
        mp_num, mp_den : mpz_t;
    end record;




    --  The actual type exported by this package, which
    --  has to be Controlled so it gets deallocated properly
    type Fraction is new Ada.Finalization.Controlled with record
        Data : mpq_t;
    end record;

    overriding procedure Initialize
           (This : in out Fraction);

    overriding procedure Adjust
           (This : in out Fraction);

    overriding procedure Finalize
           (This : in out Fraction);




    --  Internal type for temporary data to make some Fraction
    --  functions easier to show as correct
    type Bignum is new Ada.Finalization.Controlled with record
        Data : mpz_t;
    end record;

    overriding procedure Initialize
           (This : in out Bignum);

    overriding procedure Adjust
           (This : in out Bignum);

    overriding procedure Finalize
           (This : in out Bignum);




    pragma Linker_Options ("-lgmp");


end Rationals;