-
Notifications
You must be signed in to change notification settings - Fork 78
/
stdlib_compare.mzn
310 lines (277 loc) · 15.3 KB
/
stdlib_compare.mzn
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
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
/***
@groupdef stdlib.compare Comparison Builtins
These builtins implement comparison operations.
*/
/** @group stdlib.compare Return if \a x is less than \a y */
function bool: '<'( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is less than \a y */
function var bool: '<'(var $T: x,var $T: y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than the value of \a y. */
function var bool: '<'(var opt int: x, var opt int: y) = absent(x) \/ absent(y) \/ deopt(x) < deopt(y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than the value of \a y. */
function bool: '<'(opt int: x, opt int: y) = absent(x) \/ absent(y) \/ deopt(x) < deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than the value of \a y. */
function var bool: '<'(var opt float: x, var opt float: y) = absent(x) \/ absent(y) \/ deopt(x) < deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than the value of \a y. */
function bool: '<'(opt float: x, opt float: y) = absent(x) \/ absent(y) \/ deopt(x) < deopt(y);
/** @group stdlib.compare Return if \a x is greater than \a y */
function bool: '>'( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is greater than \a y */
function var bool: '>'(var $T: x,var $T: y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than the value of \a y. */
function var bool: '>'(var opt int: x, var opt int: y) = absent(x) \/ absent(y) \/ deopt(x) > deopt(y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than the value of \a y. */
function bool: '>'(opt int: x, opt int: y) = absent(x) \/ absent(y) \/ deopt(x) > deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than the value of \a y. */
function var bool: '>'(var opt float: x, var opt float: y) = absent(x) \/ absent(y) \/ deopt(x) > deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than the value of \a y. */
function bool: '>'(opt float: x, opt float: y) = absent(x) \/ absent(y) \/ deopt(x) > deopt(y);
/** @group stdlib.compare Return if \a x is less than or equal to \a y */
function bool: '<='( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is less than or equal to \a y */
function var bool: '<='(var $T: x, var $T: y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than or equal to the value of \a y. */
function var bool: '<='(var opt int: x, var opt int: y) = absent(x) \/ absent(y) \/ deopt(x) <= deopt(y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than or equal to the value of \a y. */
function bool: '<='(opt int: x, opt int: y) = absent(x) \/ absent(y) \/ deopt(x) <= deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than or equal to the value of \a y. */
function var bool: '<='(var opt float: x, var opt float: y) = absent(x) \/ absent(y) \/ deopt(x) <= deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is less than or equal to the value of \a y. */
function bool: '<='(opt float: x, opt float: y) = absent(x) \/ absent(y) \/ deopt(x) <= deopt(y);
/** @group stdlib.compare Return if \a x is greater than or equal to \a y */
function bool: '>='( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is greater than or equal to \a y */
function var bool: '>='(var $T: x,var $T: y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than or equal to the value of \a y. */
function var bool: '>='(var opt int: x, var opt int: y) = absent(x) \/ absent(y) \/ deopt(x) >= deopt(y);
/** @group stdlib.compare Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than or equal to the value of \a y. */
function bool: '>='(opt int: x, opt int: y) = absent(x) \/ absent(y) \/ deopt(x) >= deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than or equal to the value of \a y. */
function var bool: '>='(var opt float: x, var opt float: y) = absent(x) \/ absent(y) \/ deopt(x) >= deopt(y);
/** @group stdlib.arithmetic Weak comparison: true iff either \a x or \a y is absent, or both
occur and the value of \a x is greater than or equal to the value of \a y. */
function bool: '>='(opt float: x, opt float: y) = absent(x) \/ absent(y) \/ deopt(x) >= deopt(y);
/** @group stdlib.compare Return if \a x is equal to \a y */
function bool: '='( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is equal to \a y */
function bool: '='(opt $T: x, opt $T: y) =
absent(x) /\ absent(y) \/ occurs(x) /\ occurs(y) /\ deopt(x) = deopt(y);
/** @group stdlib.compare Return if \a x is equal to \a y */
function var bool: '='(var $T: x,var $T: y);
/** @group stdlib.compare Return if \a x is equal to \a y */
function var bool: '='(var opt $T: x,var opt $T: y);
/** @group stdlib.compare Return if \a x is not equal to \a y */
function bool: '!='( $T: x, $T: y);
/** @group stdlib.compare Return if \a x is not equal to \a y */
function bool: '!='(opt $T: x, opt $T: y) = not (x = y);
/** @group stdlib.compare Return if \a x is not equal to \a y */
function var bool: '!='(var $T: x, var $T: y);
/** @group stdlib.compare Return if \a x is not equal to \a y */
function var bool: '!='(var opt $T: x, var opt $T: y);
% Special case comparison operators for integer variable and float constant
function var bool: '<='(var int: x, float: y) = (x <= floor(y));
function var bool: '>='(var int: x, float: y) = (x >= ceil(y));
function var bool: '<='(float: x, var int: y) = (y >= ceil(x));
function var bool: '>='(float: x, var int: y) = (y <= floor(x));
function var bool: '<'(var int: x, float: y) = (x <= ceil(y)-1);
function var bool: '>'(float: x, var int: y) = (y <= ceil(x)-1);
function var bool: '>'(var int: x, float: y) = (x >= floor(y)+1);
function var bool: '<'(float: x, var int: y) = (y >= floor(x)+1);
function var bool: '='(var int: x, float: y) =
if ceil(y)=floor(y) then x=ceil(y) else false endif;
function var bool: '='(float: x, var int: y) =
if ceil(x)=floor(x) then y=ceil(x) else false endif;
function var bool: '!='(var int: x, float: y) =
if ceil(y)=floor(y) then x != ceil(y) else true endif;
function var bool: '!='(float: x, var int: y) =
if ceil(x)=floor(x) then y != ceil(x) else true endif;
function bool: '<='(int: x, float: y) = (x <= floor(y));
function bool: '>='(int: x, float: y) = (x >= ceil(y));
function bool: '<='(float: x, int: y) = (y >= ceil(x));
function bool: '>='(float: x, int: y) = (y <= floor(x));
function bool: '<'(int: x, float: y) = (x <= ceil(y)-1);
function bool: '>'(float: x, int: y) = (y <= ceil(x)-1);
function bool: '>'(int: x, float: y) = (x >= floor(y)+1);
function bool: '<'(float: x, int: y) = (y >= floor(x)+1);
function bool: '='(int: x, float: y) =
if ceil(y)=floor(y) then x=ceil(y) else false endif;
function bool: '='(float: x, int: y) =
if ceil(x)=floor(x) then y=ceil(x) else false endif;
function bool: '!='(int: x, float: y) =
if ceil(y)=floor(y) then x != ceil(y) else true endif;
function bool: '!='(float: x, int: y) =
if ceil(x)=floor(x) then y != ceil(x) else true endif;
/** @group stdlib.compare Return if array \a x is lexicographically smaller than array \a y */
function bool: '<'(array[$U] of $T: x,array[$U] of $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically smaller than array \a y */
function var bool: '<'(array[$U] of var $T: x,array[$U] of var $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically greater than array \a y */
function bool: '>'(array[$U] of $T: x,array[$U] of $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically greater than array \a y */
function var bool: '>'(array[$U] of var $T: x,array[$U] of var $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically smaller than or equal to array \a y */
function bool: '<='(array[$U] of $T: x,array[$U] of $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically smaller than or equal to array \a y */
function var bool: '<='(array[$U] of var $T: x,array[$U] of var $T: y);
/** @group stdlib.compare Return if array \a x is lexicographically greater than or equal to array \a y */
function bool: '>='(array[$U] of $T: x,array[$U] of $T: y);
function var bool: '>='(array[$U] of var $T: x,array[$U] of var $T: y);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function bool: '='(array[$T] of int: x,array[$T] of int: y) =
let {
array[int] of int: xx = array1d(x);
array[int] of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function var bool: '='(array[$T] of var int: x,array[$T] of var int: y) =
let {
array[int] of var int: xx = array1d(x);
array[int] of var int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function bool: '='(array[$T] of bool: x,array[$T] of bool: y) =
let {
array[int] of bool: xx = array1d(x);
array[int] of bool: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function var bool: '='(array[$T] of var bool: x,array[$T] of var bool: y) =
let {
array[int] of var bool: xx = array1d(x);
array[int] of var bool: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function bool: '='(array[$T] of set of int: x,array[$T] of set of int: y) =
let {
array[int] of set of int: xx = array1d(x);
array[int] of set of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function var bool: '='(array[$T] of var set of int: x,array[$T] of var set of int: y) =
let {
array[int] of var set of int: xx = array1d(x);
array[int] of var set of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function bool: '='(array[$T] of float: x,array[$T] of float: y) =
let {
array[int] of float: xx = array1d(x);
array[int] of float: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is equal to array \a y */
function var bool: '='(array[$T] of var float: x,array[$T] of var float: y) =
let {
array[int] of var float: xx = array1d(x);
array[int] of var float: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
forall (i in index_set(xx)) (xx[i]=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function bool: '!='(array[$T] of int: x,array[$T] of int: y) =
let {
array[int] of int: xx = array1d(x);
array[int] of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function var bool: '!='(array[$T] of var int: x,array[$T] of var int: y) =
let {
array[int] of var int: xx = array1d(x);
array[int] of var int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function bool: '!='(array[$T] of bool: x,array[$T] of bool: y) =
let {
array[int] of bool: xx = array1d(x);
array[int] of bool: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function var bool: '!='(array[$T] of var bool: x,array[$T] of var bool: y) =
let {
array[int] of var bool: xx = array1d(x);
array[int] of var bool: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function bool: '!='(array[$T] of set of int: x,array[$T] of set of int: y) =
let {
array[int] of set of int: xx = array1d(x);
array[int] of set of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function var bool: '!='(array[$T] of var set of int: x,array[$T] of var set of int: y) =
let {
array[int] of var set of int: xx = array1d(x);
array[int] of var set of int: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function bool: '!='(array[$T] of float: x,array[$T] of float: y) =
let {
array[int] of float: xx = array1d(x);
array[int] of float: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);
/** @group stdlib.compare Return if array \a x is not equal to array \a y */
function var bool: '!='(array[$T] of var float: x,array[$T] of var float: y) =
let {
array[int] of var float: xx = array1d(x);
array[int] of var float: yy = array1d(y);
} in
assert(index_sets_agree(x,y), "array index sets do not match",
exists (i in index_set(xx)) (xx[i]!=yy[i])
);