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@testset "FieldProcess" begin | ||
@testset "GaussianProcess" begin | ||
@testset "defaultmethod" begin | ||
grid = CartesianGrid(100, 100) | ||
vgrid = view(grid, 1:1000) | ||
pset1 = PointSet(rand(Point2, 1000)) | ||
pset2 = PointSet(rand(Point2, 10000)) | ||
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process = GaussianProcess() | ||
setup = GeoStatsProcesses.randsetup(grid, [:z => Float64], 1) | ||
@test GeoStatsProcesses.defaultmethod(process, setup) isa FFTMethod | ||
setup = GeoStatsProcesses.randsetup(vgrid, [:z => Float64], 1) | ||
@test GeoStatsProcesses.defaultmethod(process, setup) isa FFTMethod | ||
setup = GeoStatsProcesses.randsetup(pset1, [:z => Float64], 1) | ||
@test GeoStatsProcesses.defaultmethod(process, setup) isa LUMethod | ||
setup = GeoStatsProcesses.randsetup(pset2, [:z => Float64], 1) | ||
@test GeoStatsProcesses.defaultmethod(process, setup) isa SEQMethod | ||
end | ||
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@testset "FFTMethod" begin | ||
# isotropic simulation | ||
Random.seed!(2019) | ||
dom = CartesianGrid(100, 100) | ||
process = GaussianProcess(GaussianVariogram(range=10.0)) | ||
method = FFTMethod() | ||
sims = rand(process, dom, [:z => Float64], 3, method) | ||
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# anisotropic simulation | ||
Random.seed!(2019) | ||
dom = CartesianGrid(100, 100) | ||
process = GaussianProcess(GaussianVariogram(MetricBall((20.0, 5.0)))) | ||
method = FFTMethod() | ||
sims = rand(process, dom, [:z => Float64], 3, method) | ||
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# simulation on view of grid | ||
Random.seed!(2022) | ||
grid = CartesianGrid(100, 100) | ||
vgrid = view(grid, 1:5000) | ||
process = GaussianProcess(GaussianVariogram(range=10.0)) | ||
method = FFTMethod() | ||
sim = rand(process, vgrid, [:z => Float64], method) | ||
@test domain(sim) == vgrid | ||
@test length(sim.geometry) == 5000 | ||
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# conditional simulation | ||
Random.seed!(2022) | ||
table = (; z=[1.0, -1.0, 1.0]) | ||
coords = [(25.0, 25.0), (50.0, 75.0), (75.0, 50.0)] | ||
samples = georef(table, coords) | ||
sdomain = CartesianGrid(100, 100) | ||
process = GaussianProcess(GaussianVariogram(range=10.0)) | ||
method = FFTMethod(maxneighbors=3) | ||
sim = rand(process, sdomain, samples, method) | ||
end | ||
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@testset "SEQMethod" begin | ||
𝒮 = georef((; z=[1.0, 0.0, 1.0]), [25.0 50.0 75.0; 25.0 75.0 50.0]) | ||
𝒟 = CartesianGrid((100, 100), (0.5, 0.5), (1.0, 1.0)) | ||
N = 3 | ||
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process = GaussianProcess(SphericalVariogram(range=35.0)) | ||
method = SEQMethod(neighborhood=MetricBall(30.0), maxneighbors=3) | ||
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Random.seed!(2017) | ||
sims₁ = rand(process, 𝒟, 𝒮, 3) | ||
sims₂ = rand(process, 𝒟, [:z => Float64], 3) | ||
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# basic checks | ||
reals = sims₁[:z] | ||
inds = LinearIndices(size(𝒟)) | ||
@test all(reals[i][inds[25, 25]] == 1.0 for i in 1:N) | ||
@test all(reals[i][inds[50, 75]] == 0.0 for i in 1:N) | ||
@test all(reals[i][inds[75, 50]] == 1.0 for i in 1:N) | ||
end | ||
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@testset "LUMethod" begin | ||
𝒮 = georef((; z=[0.0, 1.0, 0.0, 1.0, 0.0]), [0.0 25.0 50.0 75.0 100.0]) | ||
𝒟 = CartesianGrid(100) | ||
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# ---------------------- | ||
# conditional simulation | ||
# ---------------------- | ||
rng = MersenneTwister(123) | ||
process = GaussianProcess(SphericalVariogram(range=10.0)) | ||
method = LUMethod() | ||
sims = rand(rng, process, 𝒟, 𝒮, 2, method) | ||
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# ------------------------ | ||
# unconditional simulation | ||
# ------------------------ | ||
rng = MersenneTwister(123) | ||
process = GaussianProcess(SphericalVariogram(range=10.0)) | ||
method = LUMethod() | ||
sims = rand(rng, process, 𝒟, [:z => Float64], 2, method) | ||
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# ------------- | ||
# co-simulation | ||
# ------------- | ||
𝒟 = CartesianGrid(500) | ||
rng = MersenneTwister(123) | ||
process = GaussianProcess((SphericalVariogram(range=10.0), GaussianVariogram(range=10.0))) | ||
method = LUMethod(correlation=0.95) | ||
sim = rand(rng, process, 𝒟, [:a => Float64, :b => Float64], method) | ||
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# ----------- | ||
# 2D example | ||
# ----------- | ||
𝒟 = CartesianGrid(100, 100) | ||
rng = MersenneTwister(123) | ||
process = GaussianProcess(GaussianVariogram(range=10.0)) | ||
method = LUMethod() | ||
sims = rand(rng, process, 𝒟, [:z => Float64], 3, method) | ||
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# ------------------- | ||
# anisotropy example | ||
# ------------------- | ||
𝒟 = CartesianGrid(100, 100) | ||
rng = MersenneTwister(123) | ||
ball = MetricBall((20.0, 5.0)) | ||
process = GaussianProcess(GaussianVariogram(ball)) | ||
method = LUMethod() | ||
sims = rand(rng, process, 𝒟, [:z => Float64], 3, method) | ||
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# --------------------- | ||
# custom factorization | ||
# --------------------- | ||
𝒟 = CartesianGrid(100) | ||
rng = MersenneTwister(123) | ||
process = GaussianProcess(SphericalVariogram(range=10.0)) | ||
method1 = LUMethod(factorization=lu) | ||
method2 = LUMethod(factorization=cholesky) | ||
sim1 = rand(rng, process, 𝒟, 𝒮, 2, method1) | ||
sim2 = rand(rng, process, 𝒟, 𝒮, 2, method2) | ||
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# throws | ||
𝒟 = CartesianGrid(100, 100) | ||
process = GaussianProcess(GaussianVariogram(range=10.0)) | ||
method = LUMethod() | ||
# only 1 or 2 variables can be simulated simultaneously | ||
@test_throws AssertionError rand(process, 𝒟, [:a => Float64, :b => Float64, :c => Float64], method) | ||
process = GaussianProcess((GaussianVariogram(range=10.0),)) | ||
# the number of parameters must be equal to the number of variables | ||
@test_throws AssertionError rand(process, 𝒟, [:a => Float64, :b => Float64], method) | ||
end | ||
end | ||
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@testset "QuiltingProcess" begin | ||
sdata = georef((; facies=[1.0, 0.0, 1.0]), [25.0 50.0 75.0; 25.0 75.0 50.0]) | ||
sdomain = CartesianGrid(100, 100) | ||
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rng = MersenneTwister(2017) | ||
trainimg = geostatsimage("Strebelle") | ||
inactive = [CartesianIndex(i, j) for i in 1:30 for j in 1:30] | ||
process = QuiltingProcess(trainimg, (30, 30); inactive) | ||
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sims = rand(rng, process, sdomain, sdata, 3) | ||
@test length(sims) == 3 | ||
@test size(domain(sims[1])) == (100, 100) | ||
end | ||
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@testset "TuringProcess" begin | ||
Random.seed!(2019) | ||
sdomain = CartesianGrid(200, 200) | ||
sims = rand(TuringProcess(), sdomain, [:z => Float64], 3) | ||
@test length(sims) == 3 | ||
@test size(domain(sims[1])) == (200, 200) | ||
end | ||
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@testset "StrataProcess" begin | ||
rng = MersenneTwister(2019) | ||
proc = SmoothingProcess() | ||
env = Environment(rng, [proc, proc], [0.5 0.5; 0.5 0.5], ExponentialDuration(rng, 1.0)) | ||
sdomain = CartesianGrid(50, 50, 20) | ||
sims = rand(StrataProcess(env), sdomain, [:z => Float64], 3) | ||
@test length(sims) == 3 | ||
@test size(domain(sims[1])) == (50, 50, 20) | ||
end | ||
end |
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@testset "PointProcess" begin | ||
# geometries and domains | ||
seg = Segment((0.0, 0.0), (11.3, 11.3)) | ||
tri = Triangle((0.0, 0.0), (5.65, 0.0), (5.65, 5.65)) | ||
quad = Quadrangle((0.0, 0.0), (0.0, 4.0), (4.0, 4.0), (4.0, 0.0)) | ||
box = Box((0.0, 0.0), (4.0, 4.0)) | ||
ball = Ball((1.0, 1.0), 2.25) | ||
outer = [(0, -4), (4, -1), (4, 1.5), (0, 3)] | ||
hole1 = [(0.2, -0.2), (1.4, -0.2), (1.4, 0.6), (0.2, 0.6)] | ||
hole2 = [(2, -0.2), (3, -0.2), (3, 0.4), (2, 0.4)] | ||
poly = PolyArea([outer, hole1, hole2]) | ||
grid = CartesianGrid((0, 0), (4, 4), dims=(10, 10)) | ||
points = Point2[(0, 0), (4.5, 0), (0, 4.2), (4, 4.3), (1.5, 1.5)] | ||
connec = connect.([(1, 2, 5), (2, 4, 5), (4, 3, 5), (3, 1, 5)], Triangle) | ||
mesh = SimpleMesh(points, connec) | ||
geoms = [seg, tri, quad, box, ball, poly, grid, mesh] | ||
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# point processes | ||
λ(s) = sum(coordinates(s) .^ 2) | ||
binom = BinomialProcess(100) | ||
poisson1 = PoissonProcess(100.0) | ||
poisson2 = PoissonProcess(λ) | ||
inhibit = InhibitionProcess(0.1) | ||
procs = [binom, poisson1, poisson2, inhibit] | ||
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@testset "Basic" begin | ||
for p in procs, g in geoms | ||
pp = rand(p, g) | ||
@test all(∈(g), pp) | ||
end | ||
end | ||
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@testset "Binomial" begin | ||
p = BinomialProcess(10) | ||
for g in geoms | ||
pp = rand(p, g) | ||
@test nelements(pp) == 10 | ||
end | ||
end | ||
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@testset "Poisson" begin | ||
# inhomogeneous with piecewise constant intensity | ||
for g in [grid, mesh] | ||
p = PoissonProcess(λ.(centroid.(g))) | ||
pp = rand(p, g) | ||
@test all(∈(g), pp) | ||
end | ||
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# empty pointsets | ||
for g in geoms | ||
@test isnothing(rand(PoissonProcess(0.0), seg)) | ||
end | ||
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pp = PointSet(rand(Point2, 10)) | ||
@test isnothing(rand(PoissonProcess(100.0), pp)) | ||
end | ||
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@testset "Inhibition" begin end | ||
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@testset "Cluster" begin | ||
binom = BinomialProcess(100) | ||
poisson = PoissonProcess(100.0) | ||
procs = [binom, poisson] | ||
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ofun1 = parent -> rand(BinomialProcess(10), Ball(parent, 0.2)) | ||
ofun2 = parent -> rand(PoissonProcess(100), Ball(parent, 0.2)) | ||
ofun3 = parent -> rand(PoissonProcess(x -> 100 * sum((x - parent) .^ 2)), Ball(parent, 0.5)) | ||
ofun4 = parent -> PointSet(sample(Sphere(parent, 0.1), RegularSampling(10))) | ||
ofuns = [ofun1, ofun2, ofun3, ofun4] | ||
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box = Box((0.0, 0.0), (4.0, 4.0)) | ||
ball = Ball((1.0, 1.0), 2.25) | ||
tri = Triangle((0.0, 0.0), (5.65, 0.0), (5.65, 5.65)) | ||
grid = CartesianGrid((0, 0), (4, 4), dims=(10, 10)) | ||
geoms = [box, ball, tri, grid] | ||
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for p in procs, ofun in ofuns, g in geoms | ||
cp = ClusterProcess(p, ofun) | ||
pp = rand(cp, g) | ||
if !isnothing(pp) | ||
@test all(∈(g), pp) | ||
end | ||
end | ||
end | ||
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@testset "Union" begin | ||
b = Box((0.0, 0.0), (100.0, 100.0)) | ||
p₁ = BinomialProcess(50) | ||
p₂ = BinomialProcess(50) | ||
p = p₁ ∪ p₂ # 100 points | ||
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s = rand(p, b, 2) | ||
@test length(s) == 2 | ||
@test s[1] isa PointSet | ||
@test s[2] isa PointSet | ||
@test nelements.(s) == [100, 100] | ||
end | ||
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@testset "Thinning" begin | ||
p = PoissonProcess(10) | ||
q = Quadrangle((0.0, 0.0), (4.0, 0.0), (4.0, 4.0), (0.0, 4.0)) | ||
pp = rand(p, q) | ||
tp = thin(pp, RandomThinning(0.3)) | ||
@test length(tp) ≤ length(pp) | ||
xs = coordinates.(tp) | ||
@test all(0 .≤ first.(xs) .≤ 4.0) | ||
@test all(0 .≤ last.(xs) .≤ 4.0) | ||
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λ(s::Point2) = sum(coordinates(s) .^ 2) | ||
tp = thin(pp, RandomThinning(s -> λ(s) / λ(Point(4.0, 4.0)))) | ||
@test length(tp) ≤ length(pp) | ||
xs = coordinates.(tp) | ||
@test all(0 .≤ first.(xs) .≤ 4.0) | ||
@test all(0 .≤ last.(xs) .≤ 4.0) | ||
end | ||
end |
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