/
doubledescription.jl
156 lines (156 loc) · 7.15 KB
/
doubledescription.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
@testset "Double Description" begin
@test Polyhedra.polytypefor(Float32) == Float64
@testset "H-representation -> V-representation" begin
@testset "Intersection" begin
@testset "Vector" begin
@testset "Exact" begin
h = hrep([HalfSpace([ 1, 1], 1),
HalfSpace([ 1, -1], 0),
HalfSpace([-1, 0], 0)])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Rational{BigInt},Vector{Rational{BigInt}}}
@test collect(points(v)) == [[1//2, 1//2], [0, 0], [0, 1]]
@test !hasallrays(v)
end
@testset "Numerical" begin
h = hrep([HalfSpace([ 1., 1], 1),
HalfSpace([ 1., -1], 0),
HalfSpace([-1., 0], 0)])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Float64,Vector{Float64}}
@test collect(points(v)) == [[1/2, 1/2], [0.0, 0.0], [0.0, 1.0]]
@test !hasallrays(v)
end
end
@testset "SVector" begin
@testset "Exact" begin
h = hrep([HalfSpace((@SVector [ 1, 1]), 1),
HalfSpace((@SVector [ 1, -1]), 0),
HalfSpace((@SVector [-1, 0]), 0)])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Rational{BigInt},SVector{2,Rational{BigInt}}}
@test collect(points(v)) == [(@SVector [1//2, 1//2]), (@SVector [0, 0]), (@SVector [0, 1])]
@test !hasallrays(v)
end
@testset "Numerical" begin
h = hrep([HalfSpace((@SVector [ 1., 1]), 1),
HalfSpace((@SVector [ 1., -1]), 0),
HalfSpace((@SVector [-1., 0]), 0)])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Float64,SVector{2,Float64}}
@test collect(points(v)) == [(@SVector [1/2, 1/2]), (@SVector [0.0, 0.0]), (@SVector [0.0, 1.0])]
@test !hasallrays(v)
end
end
end
@testset "MixedMatHRep" begin
@testset "Exact" begin
h = hrep([ 1 1
1 -1
-1 0],
[1, 0, 0])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.MixedMatVRep{Rational{BigInt}}
@test v.V == [1//2 1//2; 0//1 0//1; 0//1 1//1]
@test v.R == zeros(Rational{BigInt}, 0, 2)
@test isempty(v.Rlinset)
end
@testset "Numerical" begin
h = hrep([ 1 1
1 -1
-1 0],
[1., 0, 0])
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.MixedMatVRep{Float64}
@test v.V == [1/2 1/2; 0 0; 0 1]
@test v.R == zeros(0, 2)
@test isempty(v.Rlinset)
end
end
@testset "Empty Intersection" begin
h = HyperPlane([0, 1], 1) ∩ HyperPlane([0, 1], -1)
@testset "0x_1 + 0x_2 = 1" begin
@testset "Exact" begin
h = intersect(HyperPlane([0, 0], 1))
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Rational{BigInt},Vector{Rational{BigInt}}}
@test !haspoints(v)
@test !hasallrays(v)
end
@testset "Numerical" begin
h = intersect(HyperPlane([0., 0], 1))
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Float64,Vector{Float64}}
@test !haspoints(v)
@test !hasallrays(v)
end
end
@testset "-1 = 0x_1 + x_2 = 1" begin
@testset "Exact" begin
h = HyperPlane([0, 1], 1) ∩ HyperPlane([0, 1], -1)
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Rational{BigInt},Vector{Rational{BigInt}}}
@test !haspoints(v)
@test !hasallrays(v)
end
@testset "Numerical" begin
h = HyperPlane([0, 1.], 1) ∩ HyperPlane([0, 1.], -1)
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Float64,Vector{Float64}}
@test !haspoints(v)
@test !hasallrays(v)
end
end
@testset "1 ≤ x_1 + 0x_2 ≤ -1" begin
@testset "Exact" begin
h = HalfSpace([1, 0], -1) ∩ HalfSpace([-1, 0], -1)
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Rational{BigInt},Vector{Rational{BigInt}}}
@test !haspoints(v)
@test !hasallrays(v)
end
@testset "Numerical" begin
h = HalfSpace([1, 0.], -1) ∩ HalfSpace([-1, 0.], -1)
#v = @inferred doubledescription(h)
v = doubledescription(h)
@test v isa Polyhedra.Hull{Float64,Vector{Float64}}
@test !haspoints(v)
@test !hasallrays(v)
end
end
end
end
@testset "V-representation -> H-representation" begin
@testset "Hull" begin
@testset "Vector" begin
@testset "Exact" begin
v = conichull([1, 0],
[0, 1])
h = doubledescription(v)
#h = @inferred doubledescription(v)
@test !hashyperplanes(h)
@test collect(halfspaces(h)) == [HalfSpace([0, -1], 0), HalfSpace([-1, 0], 0), HalfSpace([0, 0], 1)] # FIXME get rid of (0, 0) 1
end
@testset "Numerical" begin
v = conichull([1., 0.],
[0., 1.])
h = doubledescription(v)
#h = @inferred doubledescription(v)
@test !hashyperplanes(h)
@test collect(halfspaces(h)) == [HalfSpace([0, -1], 0), HalfSpace([-1, 0], 0), HalfSpace([0, 0], 1)] # FIXME get rid of (0, 0) 1
end
end
end
end
end