/
doubledescription.jl
157 lines (154 loc) · 6.37 KB
/
doubledescription.jl
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using Test
using StaticArrays
function empty_test(h::HRepresentation{T}) where T
#v = @inferred doubledescription(h)
v = doubledescription(h)
U = T == Float64 ? Float64 : Rational{BigInt}
v = doubledescription(h)
@test v isa Polyhedra.Hull{U,Vector{U}}
@test !haspoints(v)
@test !hasallrays(v)
end
empty_hyperplane_test(z) = empty_test(intersect(HyperPlane([z, z], 1)))
empty_halfspace_test(z) = empty_test(intersect(HalfSpace([z, z], -1)))
empty_space_test(z) = empty_test(HyperPlane([z, 1], 1) ∩ HyperPlane([z, 1], -1))
empty_range_test(z) = empty_test(HalfSpace([1, z], -1) ∩ HalfSpace([-1, z], -1))
function simplex_test(z)
h = hrep([HalfSpace([ 1, 1], 1),
HalfSpace([ 1, -1], z),
HalfSpace([-1, z], z)])
v = doubledescription(h)
T = z isa AbstractFloat ? Float64 : Rational{BigInt}
@test v isa Polyhedra.Hull{T,Vector{T}}
@test collect(points(v)) == [[z, z], [z, 1], [1//2, 1//2]]
@test !hasallrays(v)
h = hrep([HalfSpace(zeros(typeof(z), 2), z); h.halfspaces])
h = hrep([HalfSpace([ 1, 1], 1),
HalfSpace([ z, z], z),
HalfSpace([ 1, -1], z),
HalfSpace([-1, z], z)])
#intersect!(h, )
v = doubledescription(h)
@test v isa Polyhedra.Hull{T,Vector{T}}
@test collect(points(v)) == [[z, z], [z, 1], [1//2, 1//2]]
@test !hasallrays(v)
end
@testset "Double Description" begin
@test Polyhedra.polytypefor(Float32) == Float64
@testset "H-representation -> V-representation" begin
@testset "Intersection" begin
@testset "Vector" begin
@testset "Exact" begin
simplex_test(0)
end
@testset "Numerical" begin
simplex_test(0.0)
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 [0, 0]), (@SVector [0, 1]), (@SVector [1//2, 1//2])]
@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 [0.0, 0.0]), (@SVector [0.0, 1.0]), (@SVector [1/2, 1/2])]
@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 == [0//1 0//1; 0//1 1//1; 1//2 1//2]
@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 == [0 0; 0 1; 1/2 1/2]
@test v.R == zeros(0, 2)
@test isempty(v.Rlinset)
end
end
_str(::Float64) = "Numerical"
_str(::Int) = "Exact"
@testset "Empty Intersection $(_str(z))" for z in [0, 0.0]
@testset "0x_1 + 0x_2 = 1" begin
empty_hyperplane_test(z)
end
@testset "0x_1 + 0x_2 ≤ -1" begin
empty_halfspace_test(z)
end
@testset "-1 = 0x_1 + x_2 = 1" begin
empty_space_test(z)
end
@testset "1 ≤ x_1 + 0x_2 ≤ -1" begin
empty_range_test(z)
end
end
@testset "Simple hyperplane $(_str(o))" for o in [1, 1.0]
h = intersect(HyperPlane([o, o], o))
v = doubledescription(h)
@test nlines(v) == 1
@test first(lines(v)) == Line([-1, 1])
@test !hasrays(v) == 1
@test npoints(v) == 1
@test first(points(v)) == [1, 0]
end
@testset "Quadrilateral $(_str(z))" for z in [0, 0.0]
h = HalfSpace([2, 1], 4) ∩ HalfSpace([1, 2], 4) ∩
HalfSpace([-1, z], z) ∩ HalfSpace([z, -1], z)
v = doubledescription(h)
@test !haslines(v)
@test !hasrays(v)
@test npoints(v) == 4
@test all(points(v) .≈ [[0, 0], [2, 0], [0, 2], [4//3, 4//3]])
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, 0], 1), HalfSpace([-1, 0], 0), HalfSpace([0, -1], 0)] # 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, 0], 1), HalfSpace([-1, 0], 0), HalfSpace([0, -1], 0)] # FIXME get rid of (0, 0) 1
end
end
end
end
end