/
sets.jl
368 lines (329 loc) · 11.7 KB
/
sets.jl
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
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
# Copyright (c) 2017: Miles Lubin and contributors
# Copyright (c) 2017: Google Inc.
#
# Use of this source code is governed by an MIT-style license that can be found
# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
module TestSets
using Test
import MathOptInterface as MOI
include("dummy.jl")
"""
MutLessThan{T<:Real} <: MOI.AbstractScalarSet
A mutable `LessThan`-like set to test `copy` of indicator set
"""
mutable struct MutLessThan{T<:Real} <: MOI.AbstractScalarSet
upper::T
MutLessThan(v::T) where {T<:Real} = new{T}(v)
end
Base.copy(mlt::MutLessThan) = MutLessThan(Base.copy(mlt.upper))
function test_sets_equals()
# By default, `==` redirects to `===`, it works for bits type
# but not for `BigInt`s. We define functions creating different
# instances so that `a() !== a()`.
a() = big(1)
b() = big(2)
@test a() !== a()
@test b() !== b()
for S in [
MOI.LessThan,
MOI.GreaterThan,
MOI.EqualTo,
MOI.PowerCone,
MOI.DualPowerCone,
]
@test S(a()) == S(a())
@test S(a()) != S(b())
@test S(b()) == S(b())
@test S(b()) != S(a())
end
for S in [MOI.Interval, MOI.Semicontinuous, MOI.Semiinteger]
@test S(a(), b()) == S(a(), b())
@test S(a(), b()) != S(b(), a())
@test S(a(), b()) != S(b(), b())
@test S(a(), b()) != S(a(), a())
@test S(a(), a()) != S(b(), b())
@test S(a(), a()) == S(a(), a())
end
S = MOI.Indicator
A() = MOI.LessThan(a())
B() = MOI.LessThan(b())
@test S{MOI.ACTIVATE_ON_ZERO}(A()) == S{MOI.ACTIVATE_ON_ZERO}(A())
@test S{MOI.ACTIVATE_ON_ZERO}(A()) != S{MOI.ACTIVATE_ON_ONE}(A())
@test S{MOI.ACTIVATE_ON_ZERO}(A()) != S{MOI.ACTIVATE_ON_ZERO}(B())
@test S{MOI.ACTIVATE_ON_ONE}(A()) != S{MOI.ACTIVATE_ON_ONE}(B())
end
function test_sets_sos1_copy()
s = MOI.SOS1([1.0])
s_copy = copy(s)
s_copy.weights[1] = 2.0
@test s.weights[1] == 1.0
end
function test_sets_sos2_copy()
s = MOI.SOS2([1.0])
s_copy = copy(s)
s_copy.weights[1] = 2.0
@test s.weights[1] == 1.0
end
function test_sets_indicator_copy()
s1 = MOI.Indicator{MOI.ACTIVATE_ON_ONE}(MOI.LessThan(4.0))
s2 = MOI.Indicator{MOI.ACTIVATE_ON_ZERO}(MOI.GreaterThan(4.0))
s1_copy = copy(s1)
s2_copy = copy(s2)
@test s1_copy isa MOI.Indicator{MOI.ACTIVATE_ON_ONE}
@test s1 == s1_copy
@test s2_copy isa MOI.Indicator{MOI.ACTIVATE_ON_ZERO}
@test s2 == s2_copy
s3 = MOI.Indicator{MOI.ACTIVATE_ON_ZERO}(MutLessThan(4.0))
s3_copy = copy(s3)
@test s3.set.upper ≈ 4.0
s3_copy.set.upper = 5.0
@test s3.set.upper ≈ 4.0
@test s3_copy.set.upper ≈ 5.0
end
function test_sets_broadcast()
model = DummyModelWithAdd()
x = MOI.add_variables(model, 3)
cis = MOI.add_constraint.(model, x, MOI.EqualTo(0.0))
@test cis isa
Vector{MOI.ConstraintIndex{MOI.VariableIndex,MOI.EqualTo{Float64}}}
@test length(cis) == 3
end
function test_sets_dimension()
@test MOI.dimension(MOI.ExponentialCone()) == 3
@test MOI.dimension(MOI.DualExponentialCone()) == 3
@test MOI.dimension(MOI.PowerCone(1 / 2)) == 3
@test MOI.dimension(MOI.DualPowerCone(1 / 2)) == 3
@test MOI.dimension(MOI.ScaledPositiveSemidefiniteConeTriangle(5)) == 15
@test MOI.dimension(MOI.PositiveSemidefiniteConeTriangle(5)) == 15
@test MOI.dimension(MOI.PositiveSemidefiniteConeSquare(5)) == 25
@test MOI.dimension(MOI.LogDetConeTriangle(5)) == 17
@test MOI.dimension(MOI.LogDetConeSquare(5)) == 27
@test MOI.dimension(MOI.RootDetConeTriangle(5)) == 16
@test MOI.dimension(MOI.RootDetConeSquare(5)) == 26
@test MOI.dimension(MOI.SOS1([1.0, 2.0])) == 2
@test MOI.dimension(MOI.SOS2([1.0, 2.0])) == 2
@test MOI.dimension(
MOI.Indicator{MOI.ACTIVATE_ON_ONE}(MOI.LessThan(1.0)),
) == 2
@test MOI.dimension(MOI.Complements(10)) == 10
end
function test_sets_bin_packing_errors()
@test_throws DomainError MOI.BinPacking(-1.0, [1.0, 2.0])
@test_throws DomainError MOI.BinPacking(1.0, [1.0, -2.0])
return
end
function test_sets_DimensionMismatch()
for (S, min_dimension) in (
(MOI.Reals, 0),
(MOI.Zeros, 0),
(MOI.Nonnegatives, 0),
(MOI.Nonpositives, 0),
(MOI.NormInfinityCone, 1),
(MOI.NormOneCone, 1),
(MOI.SecondOrderCone, 1),
(MOI.RotatedSecondOrderCone, 2),
(MOI.GeometricMeanCone, 2),
(MOI.Complements, 0),
(MOI.RelativeEntropyCone, 1),
(MOI.ScaledPositiveSemidefiniteConeTriangle, 0),
(MOI.PositiveSemidefiniteConeTriangle, 0),
(MOI.PositiveSemidefiniteConeSquare, 0),
(MOI.LogDetConeTriangle, 0),
(MOI.LogDetConeSquare, 0),
(MOI.RootDetConeTriangle, 0),
(MOI.RootDetConeSquare, 0),
(MOI.AllDifferent, 0),
(MOI.CountDistinct, 1),
(MOI.CountGreaterThan, 2),
(MOI.Cumulative, 1),
(MOI.Circuit, 0),
)
@test_throws DimensionMismatch S(min_dimension - 1)
@test S(min_dimension) isa S
end
@test_throws DimensionMismatch MOI.NormSpectralCone(-1, 0)
@test_throws DimensionMismatch MOI.NormSpectralCone(0, -1)
@test MOI.NormSpectralCone(0, 0) isa MOI.NormSpectralCone
@test_throws DimensionMismatch MOI.NormNuclearCone(-1, 0)
@test_throws DimensionMismatch MOI.NormNuclearCone(0, -1)
@test MOI.NormNuclearCone(0, 0) isa MOI.NormNuclearCone
# Other dimension checks
@test_throws DimensionMismatch MOI.RelativeEntropyCone(2)
@test_throws DimensionMismatch MOI.Complements(-3)
@test_throws DimensionMismatch MOI.Complements(3)
@test_throws DimensionMismatch MOI.CountBelongs(0, Set([1, 2]))
@test_throws DimensionMismatch MOI.CountAtLeast(1, [-1, 2], Set([1, 2]))
@test_throws DimensionMismatch MOI.NormCone(4, 0)
@test MOI.NormCone(4, 1) isa MOI.NormCone
@test_throws ArgumentError MOI.NormCone(0.99, 5)
@test_throws ArgumentError MOI.NormCone(0.5, 5)
@test_throws ArgumentError MOI.NormCone(-2, 5)
return
end
function _dual_set_test(set1, set2)
@test MOI.dual_set(set1) == set2
@test MOI.dual_set_type(typeof(set1)) == typeof(set2)
@test MOI.dual_set(set2) == set1
@test MOI.dual_set_type(typeof(set2)) == typeof(set1)
end
function _self_dual_set_test(set)
@test MOI.dual_set(set) == set
@test MOI.dual_set_type(typeof(set)) == typeof(set)
end
function test_sets_dual_nonpositives()
nonpositives3 = MOI.Nonpositives(3)
nonpositives4 = MOI.Nonpositives(4)
_self_dual_set_test(nonpositives3)
@test MOI.dual_set(nonpositives3) != nonpositives4
_self_dual_set_test(nonpositives4)
return
end
function test_sets_dual_nonnegatives()
nonnegatives3 = MOI.Nonnegatives(3)
nonnegatives4 = MOI.Nonnegatives(4)
_self_dual_set_test(nonnegatives3)
@test MOI.dual_set(nonnegatives3) != nonnegatives4
_self_dual_set_test(nonnegatives4)
return
end
function test_sets_dual_zeroreal()
zeros3 = MOI.Zeros(3)
zeros4 = MOI.Zeros(4)
reals3 = MOI.Reals(3)
reals4 = MOI.Reals(4)
_dual_set_test(zeros3, reals3)
@test MOI.dual_set(reals3) != zeros4
_dual_set_test(zeros4, reals4)
@test MOI.dual_set(zeros4) != reals3
return
end
function test_sets_dual_norm()
norminf2 = MOI.NormInfinityCone(2)
norminf3 = MOI.NormInfinityCone(3)
normone2 = MOI.NormOneCone(2)
normone3 = MOI.NormOneCone(3)
_dual_set_test(norminf2, normone2)
_dual_set_test(norminf3, normone3)
@test MOI.dual_set(norminf2) != normone3
@test MOI.dual_set(normone2) != norminf3
return
end
function test_sets_dual_soc()
soc2 = MOI.SecondOrderCone(2)
soc3 = MOI.SecondOrderCone(3)
_self_dual_set_test(soc2)
@test MOI.dual_set(soc2) != soc3
_self_dual_set_test(soc3)
return
end
function test_sets_dual_rsoc()
rsoc2 = MOI.RotatedSecondOrderCone(2)
rsoc3 = MOI.RotatedSecondOrderCone(3)
_self_dual_set_test(rsoc2)
@test MOI.dual_set(rsoc2) != rsoc3
_self_dual_set_test(rsoc3)
return
end
function test_sets_dual_normspectral()
normspec22 = MOI.NormSpectralCone(2, 2)
normspec23 = MOI.NormSpectralCone(2, 3)
normnuc22 = MOI.NormNuclearCone(2, 2)
normnuc23 = MOI.NormNuclearCone(2, 3)
_dual_set_test(normspec23, normnuc23)
_dual_set_test(normspec22, normnuc22)
@test MOI.dual_set(normspec22) != normnuc23
@test MOI.dual_set(normnuc22) != normspec23
return
end
function _test_sets_dual_psdtriangle(psd2, psd3)
_self_dual_set_test(psd2)
@test MOI.dual_set(psd2) != psd3
_self_dual_set_test(psd3)
return
end
function test_sets_dual_psdtriangle()
_test_sets_dual_psdtriangle(
MOI.PositiveSemidefiniteConeTriangle(2),
MOI.PositiveSemidefiniteConeTriangle(3),
)
_test_sets_dual_psdtriangle(
MOI.ScaledPositiveSemidefiniteConeTriangle(2),
MOI.ScaledPositiveSemidefiniteConeTriangle(3),
)
return
end
function test_sets_dual_exponential()
exp = MOI.ExponentialCone()
dual_exp = MOI.DualExponentialCone()
_dual_set_test(exp, dual_exp)
@test MOI.dual_set(exp) != exp
_dual_set_test(dual_exp, exp)
@test MOI.dual_set(dual_exp) != dual_exp
return
end
function test_sets_dual_power()
pow03 = MOI.PowerCone(0.3)
pow04 = MOI.PowerCone(0.4)
dual_pow03 = MOI.DualPowerCone(0.3)
_dual_set_test(pow03, dual_pow03)
@test MOI.dual_set(pow03) != pow03
_dual_set_test(dual_pow03, pow03)
@test MOI.dual_set(dual_pow03) != pow04
@test MOI.dual_set(dual_pow03) != dual_pow03
return
end
function test_sets_dual_psdsquare()
s = MOI.PositiveSemidefiniteConeSquare(4)
err = ErrorException(
"""Dual of `PositiveSemidefiniteConeSquare` is not defined in MathOptInterface.
For more details see the comments in `src/Bridges/Constraint/square.jl`.""",
)
@test_throws err MOI.dual_set(MOI.PositiveSemidefiniteConeSquare(4))
@test_throws err MOI.dual_set_type(MOI.PositiveSemidefiniteConeSquare)
end
function test_sets_dual_nonimplemented()
s = MOI.LogDetConeTriangle(4)
err = ErrorException("Dual of $s is not implemented.")
@test_throws err MOI.dual_set(MOI.LogDetConeTriangle(4))
err = ErrorException("Dual type of $(typeof(s)) is not implemented.")
@test_throws err MOI.dual_set_type(MOI.LogDetConeTriangle)
end
function test_sets_Interval()
@test MOI.Interval(MOI.GreaterThan(1.0)) === MOI.Interval(1.0, Inf)
@test MOI.Interval(MOI.LessThan(2.0)) === MOI.Interval(-Inf, 2.0)
@test MOI.Interval(MOI.EqualTo(3.0)) === MOI.Interval(3.0, 3.0)
@test MOI.Interval(MOI.GreaterThan(1.0f0)) === MOI.Interval(1.0f0, Inf32)
@test MOI.Interval(MOI.LessThan(2.0f0)) === MOI.Interval(-Inf32, 2.0f0)
@test MOI.Interval(MOI.EqualTo(3.0f0)) === MOI.Interval(3.0f0, 3.0f0)
@test_throws MethodError MOI.Interval(MOI.GreaterThan(false))
@test_throws MethodError MOI.Interval(MOI.LessThan(true))
@test MOI.Interval(MOI.EqualTo(true)) === MOI.Interval(true, true)
@test_throws MethodError MOI.Interval(MOI.GreaterThan(1))
@test_throws MethodError MOI.Interval(MOI.LessThan(2))
@test MOI.Interval(MOI.EqualTo(3)) === MOI.Interval(3, 3)
@test MOI.Interval(MOI.Interval(1, 2)) == MOI.Interval(1, 2)
end
function test_sets_hyperrectangle()
@test_throws ArgumentError MOI.HyperRectangle([1.0], [2.0, 3.0])
return
end
function test_sets_reified()
set = MOI.Reified(MOI.AllDifferent(2))
@test MOI.dimension(set) == 3
@test set == copy(set)
set = MOI.Reified(MOI.GreaterThan(1))
@test MOI.dimension(set) == 2
@test set == copy(set)
return
end
function runtests()
for name in names(@__MODULE__; all = true)
if startswith("$name", "test_")
@testset "$(name)" begin
getfield(@__MODULE__, name)()
end
end
end
end
end
TestSets.runtests()