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
|
functor Test (I: INTEGER) =
struct
fun foreach (l, f) = List.app f l
val m = concat ["Int", Int.toString (valOf I.precision)]
val _ = print (concat ["Testing ", m, "\n"])
val nums =
[valOf I.maxInt,
I.- (valOf I.maxInt, I.fromInt 1)]
@ (List.foldl
(fn (i, ac) =>
case SOME (I.fromInt i) handle Overflow => NONE of
NONE => ac
| SOME i => i :: ac)
[]
[100, 10, 5, 2, 1, 0, ~1, ~2, ~5, ~10, ~100])
@ [I.+ (I.fromInt 1, valOf I.minInt),
valOf I.minInt]
fun err msg = print (concat [m, ": ", concat msg, "\n"])
datatype z = datatype StringCvt.radix
val _ =
foreach
(nums, fn i =>
foreach
([("toString", I.toString, LargeInt.toString),
("fmt BIN", I.fmt BIN, LargeInt.fmt BIN),
("fmt OCT", I.fmt OCT, LargeInt.fmt OCT),
("fmt DEC", I.fmt DEC, LargeInt.fmt DEC),
("fmt HEX", I.fmt HEX, LargeInt.fmt HEX)],
fn (name, f, f') =>
let
val s = f i
val s' = f' (I.toLarge i) handle Overflow => "Overflow"
in
if s = s'
then ()
else err [name, " ", s, " <> ", name, " ", s']
end))
structure Answer =
struct
datatype t =
Div
| Int of I.int
| Overflow
val toString =
fn Div => "Div"
| Int i => I.toString i
| Overflow => "Overflow"
fun run (f: unit -> I.int): t =
Int (f ())
handle General.Div => Div
| General.Overflow => Overflow
val equals: t * t -> bool = op =
end
val _ =
foreach
(nums, fn i =>
let
val a1 = Answer.Int i
val a2 = Answer.run (fn () => I.fromLarge (I.toLarge i))
in
if Answer.equals (a1, a2)
then ()
else err ["fromLarge (toLarge ", I.toString i, ") = ",
Answer.toString a2]
end)
val _ =
foreach
([("abs", I.abs, LargeInt.abs),
("~", I.~, LargeInt.~),
("fromString o toString",
valOf o I.fromString o I.toString,
valOf o LargeInt.fromString o LargeInt.toString)],
fn (name, f, f') =>
foreach
(nums, fn i =>
let
val a = Answer.run (fn () => f i)
val a' = Answer.run (fn () => I.fromLarge (f' (I.toLarge i)))
in
if Answer.equals (a, a')
then ()
else err [name, " ", I.toString i,
" = ", Answer.toString a,
" <> ", Answer.toString a']
end))
val _ =
foreach
(nums, fn i =>
foreach
([("BIN", BIN), ("OCT", OCT), ("DEC", DEC), ("HEX", HEX)],
fn (rName, r) =>
let
val i' = valOf (StringCvt.scanString (I.scan r) (I.fmt r i))
in
if i = i'
then ()
else err ["scan ", rName, " ", I.toString i, " = ", I.toString i']
end))
val _ =
foreach
([("sign", I.sign, LargeInt.sign),
("toInt", I.toInt, LargeInt.toInt)],
fn (name, f, f') =>
foreach
(nums, fn i =>
let
val a = Answer.run (fn () => I.fromInt (f i))
val a' = Answer.run (fn () => I.fromInt (f' (I.toLarge i)))
in
if Answer.equals (a, a')
then ()
else err [name, " ", I.toString i,
" = ", Answer.toString a,
" <> ", Answer.toString a']
end))
val _ =
foreach
([("+", I.+, LargeInt.+),
("-", I.-, LargeInt.-),
("*", I.*, LargeInt.* ),
("div", I.div, LargeInt.div),
("max", I.max, LargeInt.max),
("min", I.min, LargeInt.min),
("mod", I.mod, LargeInt.mod),
("quot", I.quot, LargeInt.quot),
("rem", I.rem, LargeInt.rem)],
fn (name,
f: I.int * I.int -> I.int,
f': LargeInt.int * LargeInt.int -> LargeInt.int) =>
foreach
(nums, fn i: I.int =>
foreach
(nums, fn j: I.int =>
let
val a = Answer.run (fn () => f (i, j))
val a' = Answer.run (fn () =>
I.fromLarge (f' (I.toLarge i, I.toLarge j)))
in
if Answer.equals (a, a')
then ()
else err [I.toString i, " ", name, " ", I.toString j,
" = ", Answer.toString a, " <> ", Answer.toString a']
end)))
val _ =
foreach
([(">", I.>, LargeInt.>),
(">=", I.>=, LargeInt.>=),
("<", I.<, LargeInt.<),
("<=", I.<=, LargeInt.<=),
("sameSign", I.sameSign, LargeInt.sameSign)],
fn (name, f, f') =>
foreach
(nums, fn i: I.int =>
foreach
(nums, fn j: I.int =>
let
val b = f (i, j)
val b' = f' (I.toLarge i, I.toLarge j)
in
if b = b'
then ()
else err [I.toString i, " ", name, " ", I.toString j,
" = ", Bool.toString b, " <> ", Bool.toString b']
end)))
structure Order =
struct
datatype t = datatype order
val equals: t * t -> bool = op =
val toString =
fn EQUAL => "EQUAL"
| GREATER => "GREATER"
| LESS => "LESS"
end
val _ =
foreach
(nums, fn i =>
foreach
(nums, fn j =>
let
val ord = I.compare (i, j)
val ord' = LargeInt.compare (I.toLarge i, I.toLarge j)
in
if Order.equals (ord, ord')
then ()
else err ["compare (", I.toString i, ", ",
I.toString j, ") = ",
Order.toString ord,
" <> ",
Order.toString ord']
end))
end
structure S = Test (Int2)
structure S = Test (Int3)
structure S = Test (Int4)
structure S = Test (Int7)
structure S = Test (Int8)
structure S = Test (Int9)
structure S = Test (Int13)
structure S = Test (Int16)
structure S = Test (Int17)
structure S = Test (Int20)
structure S = Test (Int25)
structure S = Test (Int30)
structure S = Test (Int31)
structure S = Test (Int32)
structure S = Test (Int64)
|
