mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
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data structures, new testing concept
This commit is contained in:
Jukka Aho
+237
-178
@@ -2,115 +2,222 @@
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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module TypesTests
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module FieldTests
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using JuliaFEM: Increment, TimeStep, AbstractField, DefaultDiscreteField, FieldSet
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using JuliaFEM: Increment, TimeStep, Field, DefaultDiscreteField, FieldSet
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using JuliaFEM: TemporalBasis, SpatialBasis, ContinuousField, DiscreteField
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using JuliaFEM: Field
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using JuliaFEM: DefaultContinuousField
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using JuliaFEM.Test
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using Base.Test
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""" testing Increment """
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function test_increment()
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info("testing Increment")
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# testing Increment
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# constant increment
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I3 = Increment(1)
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@test isa(I3, Increment)
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@test length(I3) == 1
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# FIXME: i don't like 1-length arrays
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@test I3 == [1]
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# two increments with vector data
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I1 = Increment([1, 2, 3])
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I2 = Increment([2, 3, 4])
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@test dot(I1, I2) == 20
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@test dot([1,2,3], I2) == 20
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@test dot(I1, [2,3,4]) == 20
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@test length(I1) == 3
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@test length(I2) == 3
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# basic math
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@test 1/2*(I1+I2) == [1.5, 2.5, 3.5]
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@test I1 + 1 == [2, 3, 4]
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@test I1 - 1 == [0, 1, 2]
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@test I1*3 == [3, 6, 9]
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@test I1+I2 == [3, 5, 7]
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# dot product
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@test dot(I1, I2) == 20
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@test dot([1,2,3], I2) == 20
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@test dot(I1, [2,3,4]) == 20
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@test dot([1, 2], Increment[I1, I2])
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# similarity
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f = zeros(Increment, 2, 4)
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@test length(f) == 4
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g = similar(f, ones(8))
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@test typeof(f) == typeof(g)
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@test length(f) == length(g)
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# promotion of increment
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@test typeof(I1+1) == typeof(I1)
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@test typeof(I1-1) == typeof(I1)
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@test typeof(I1*3) == typeof(I1)
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# vec
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@test vec(g) == ones(8)
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# promotion
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# FIXME: how to do promotion so that modified increment is still increment?
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@test isa(I1+1, Increment)
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@test isa(I1-1, Increment)
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@test isa(3*I1, Increment)
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@test isa(1/2*I1, Increment)
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@test isa(I1+I2, Increment)
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@test isa(I1-I2, Increment)
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# FIXME
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#@test typeof(I1) == typeof(I1+I2)
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#@test typeof(I1/2) == typeof(I1)
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#@test typeof(1/2*S1) == typeof(I1)
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end
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test_increment()
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""" testing TimeStep """
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function test_timestep()
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info("testing TimeStep")
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info("test_timestep(): create empty timestep")
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ts = TimeStep()
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@test length(ts) == 0
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@test ts.time == 0.0
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info("create timestep with two increments")
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i1 = Increment([1, 2, 3])
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i2 = Increment([2, 3, 4])
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i3 = Increment([2, 3, 4])
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i4 = Increment([3, 4, 5])
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t1 = TimeStep(1.0, Increment[i1, i2])
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t2 = TimeStep(2.0, Increment[i3, i4])
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@test length(t1) == length(t2) == 2
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t3 = TimeStep(3.0, i1+1)
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increments = Increment[i1, i2]
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ts = TimeStep(1.0, increments)
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@test length(ts) == 2
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info("create timestep with scalar value")
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ts = TimeStep(1)
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@test length(ts) == 1
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@test ts.time == 0.0
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@test isa(ts[1], Increment)
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@test ts[1] == [1]
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info("create timestep compactly for time t=0.0")
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ts = TimeStep([1, 2, 3])
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@test length(ts) == 1
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@test ts.time == 0.0
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@test isa(ts[1], Increment)
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@test ts[1] == [1, 2, 3]
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info("create timestep compactly, add three increments compactly for time t=0.0")
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ts = TimeStep(1, 2, 3)
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@test length(ts) == 3
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@test ts.time == 0.0
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@test isa(ts[1], Increment)
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info("create timestep compactly, add two increments compactly for time t=0.0")
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ts = TimeStep([1, 2, 3], [2, 3, 4])
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@test length(ts) == 2
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@test ts.time == 0.0
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@test isa(ts[1], Increment)
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@test ts[1] == [1, 2, 3]
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@test ts[2] == [2, 3, 4]
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info("create standard timesteps")
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info(TimeStep(0.5, Increment([1, 2])))
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@test TimeStep(0.5, [1, 2]).time == 0.5
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@test TimeStep(0.5, [1, 2]) == [1, 2]
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@test TimeStep(0.5, 1).time == 0.5
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@test TimeStep(0.5, 1) == [1]
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end
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test_timestep()
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function test_watta_fak()
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# TODO: this test will fail if Increment is typealiased to Vector
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fs = FieldSet()
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fs["discrete field"] = [1, 2, 3, 4]
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T0 = last(fs["discrete field"])
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info("last discrete field: $T0, ", typeof(T0))
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T1 = T0 + 1
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info("adding 1 to discrete field: $T1, ", typeof(T1))
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ts = TimeStep(1.0, T1)
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info("creating time step: $ts, ", typeof(ts))
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push!(fs["discrete field"], ts)
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info("last discrete field = ", last(fs["discrete field"]))
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info("fieldset: $fs")
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@test last(fs["discrete field"]) == [2, 3, 4, 5]
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end
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test_watta_fak()
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""" testing DefaultDiscreteField """
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function test_default_discrete_field()
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info("testing DefaultDiscreteField")
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info("test_default_discrete_field(): the traditional way")
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i1 = Increment([1, 2, 3])
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i2 = Increment([2, 3, 4])
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t1 = TimeStep(1.0, Increment[i1, i2])
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i3 = Increment([2, 3, 4])
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i4 = Increment([3, 4, 5])
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t1 = TimeStep(1.0, Increment[i1, i2])
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t2 = TimeStep(2.0, Increment[i3, i4])
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timesteps = TimeStep[t1, t2]
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f1 = DefaultDiscreteField(timesteps)
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@test length(f1) == 2
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@test isa(f1, AbstractField) == true
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end
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test_default_discrete_field()
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@test isa(f1, Field)
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@test f1[1][1] == [1, 2, 3]
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@test f1[1][2] == [2, 3, 4]
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@test f1[2][1] == [2, 3, 4]
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@test f1[2][2] == [3, 4, 5]
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@test f1[1].time == 1.0
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@test f1[2].time == 2.0
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info("test_default_discrete_field(): quick way, this creates one timestep with vector value")
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f1 = DefaultDiscreteField([1, 2, 3])
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info("f1 = $f1")
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@test isa(f1[1], TimeStep)
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@test isa(f1[1][1], Increment)
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@test f1[1][1] == [1, 2, 3]
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@test f1[1].time == 0.0
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info("test_default_discrete_field(): quick way, two timesteps with constant value")
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f1 = DefaultDiscreteField(1, 2)
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@test length(f1) == 2
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@test isa(f1[1], TimeStep)
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@test isa(f1[2], TimeStep)
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@test isa(f1[1][1], Increment)
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@test isa(f1[2][1], Increment)
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@test f1[1][1] == [1]
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@test f1[2][1] == [2]
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@test f1[1].time == 0.0
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@test f1[2].time == 1.0
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info("test_default_discrete_field(): quick way, one timestep with scalar value")
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f1 = DefaultDiscreteField(1)
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@test length(f1) == 1
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@test isa(f1[1], TimeStep)
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@test isa(f1[1][1], Increment)
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@test f1[1][1] == [1]
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@test f1[1].time == 0.0
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info("test_default_discrete_field(): quick way, two timesteps with vector value")
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f1 = DefaultDiscreteField([1, 2, 3], [3, 4, 5])
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@test length(f1) == 2
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@test isa(f1[1], TimeStep)
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@test isa(f1[2], TimeStep)
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@test isa(f1[1][1], Increment)
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@test isa(f1[2][1], Increment)
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@test f1[1][1] == [1, 2, 3]
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@test f1[2][1] == [3, 4, 5]
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@test f1[1].time == 0.0
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@test f1[2].time == 1.0
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info("test_default_discrete_field(): quick way, set time vector also")
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f1 = DefaultDiscreteField( (0.5, [1, 2, 3]), (1.0, [3, 4, 5]) )
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@test isa(f1[1], TimeStep)
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@test isa(f1[2], TimeStep)
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@test isa(f1[1][1], Increment)
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@test isa(f1[2][1], Increment)
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@test f1[1][1] == [1, 2, 3]
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@test f1[2][1] == [3, 4, 5]
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@test f1[1].time == 0.5
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@test f1[2].time == 1.0
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end
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""" testing DefaultContinuousField """
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function test_default_continuous_field()
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function myfield(xi::Vector, time::Float64)
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time/4*[
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(1-xi[1])*(1-xi[2]),
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(1+xi[1])*(1-xi[2]),
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(1+xi[1])*(1+xi[2]),
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(1-xi[1])*(1+xi[2])]'
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end
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f = DefaultContinuousField(myfield)
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@test f([0.0, 0.0], 1.0) == [0.25 0.25 0.25 0.25]
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end
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""" testing FieldSet """
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function test_fieldset()
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i1 = Increment([1, 2, 3])
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i2 = Increment([2, 3, 4])
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i3 = Increment([2, 3, 4])
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i4 = Increment([3, 4, 5])
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t1 = TimeStep(1.0, Increment[i1, i2])
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t2 = TimeStep(2.0, Increment[i3, i4])
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timesteps = TimeStep[t1, t2]
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f1 = DefaultDiscreteField(timesteps)
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info("testing adding discrete field to FieldSet")
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info("test_fieldset(): testing adding discrete field to FieldSet")
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fs = FieldSet()
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fs["temperature"] = f1
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fs["temperature"] = DefaultDiscreteField([1, 2, 3])
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@test length(fs) == 1
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info("testing adding discrete fields quickly")
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# the easy way
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info("test_fieldset(): testing adding discrete fields quickly")
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fs2 = FieldSet()
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fs2["temperature"] = [1, 2, 3, 4]
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@test fs2["temperature"][end][end] == [1, 2, 3, 4]
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@test last(fs2["temperature"]) == [1, 2, 3, 4]
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info("test_fieldset(): testing adding all kind of discrete fields")
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fs2 = FieldSet()
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fs2["constant scalar field"] = 1
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fs2["scalar field"] = [1, 2, 3, 4]
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@@ -120,45 +227,61 @@ function test_fieldset()
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timestep = fs2["vector field"][end]
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@test timestep.time == 0.0
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info("testing adding timesteps")
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# add another timestep
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info("test_fieldset(): testing adding timesteps")
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fs = FieldSet()
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fs["temperature"] = [1, 2, 3, 4]
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T0 = last(fs["temperature"]) # last increment of last field
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info("last temperature = $T0")
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T1 = T0 + 1
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@test typeof(T0) == typeof(T1)
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info("last temperature T0 = $T0")
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T1 = Increment(T0 + 1)
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info("typeof T1 = $(typeof(T1))")
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timestep = TimeStep(1.0, Increment[T1]) # new list of increments for timestep
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push!(fs["temperature"], timestep)
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T2 = last(fs["temperature"])
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info("last temperature = $T2")
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info("last temperature T2 = $T2")
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@test last(fs["temperature"]) == [2, 3, 4, 5]
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# or more easily
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info("test_fieldset(): testing adding timesteps compactly")
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timestep = TimeStep(2.0, T1)
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push!(fs["temperature"], timestep)
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@test length(fs["temperature"].timesteps) == 3
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info("test adding several time steps at once")
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info("test_fieldset(): test adding several time steps at once without time vector")
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fs3 = FieldSet()
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fs3["time series 1"] = (0.0, [1, 2, 3, 4]), (0.5, [2, 3, 4, 5]), (1.0, [1, 1, 1, 1])
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@test fs3["time series 1"][end].time == 1.0
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fs3["time series 2"] = [1, 2, 3, 4], [2, 3, 4, 5], [1, 1, 1, 1]
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@test fs3["time series 2"][end].time == 2.0
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end
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test_fieldset()
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fs3["time series 2"] = [1, 2, 3, 4], [2, 3, 4, 5]
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info(fs3)
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@test fs3["time series 2"][1].time == 0.0
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@test fs3["time series 2"][2].time == 1.0
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@test fs3["time series 2"][1][end] == [1, 2, 3, 4]
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@test fs3["time series 2"][2][end] == [2, 3, 4, 5]
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info("test_fieldset(): test adding several time steps at once with time vector")
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fs3 = FieldSet()
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fs3["time series 1"] = (0.0, [1, 2, 3, 4]), (0.5, [2, 3, 4, 5])
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@test fs3["time series 1"][1].time == 0.0
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@test fs3["time series 1"][2].time == 0.5
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@test fs3["time series 1"][1][end] == [1, 2, 3, 4]
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@test fs3["time series 1"][2][end] == [2, 3, 4, 5]
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info("test_fieldset(): adding continuous field")
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fs = FieldSet()
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fs["continuous field"] = (xi, t) -> xi[1]*xi[2]*t
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@test fs["continuous field"]([1.0, 2.0], 3.0) == 6.0
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type MyFunnyContinuousField <: ContinuousField
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basis :: Function
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discretefield :: DiscreteField
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end
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function Base.call(field::MyFunnyContinuousField, xi::Vector, time::Number=1.0)
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data = last(field.discretefield) # get the last timestep last increment
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type MyContinuousField <: ContinuousField
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basis :: Function
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discrete_field :: DiscreteField
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end
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function Base.call(field::MyContinuousField, xi::Vector, time::Number=1.0)
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data = last(field.discrete_field) # get the last timestep last increment
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info("data = $data, typeof data = $(typeof(data))")
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basis = time*field.basis(xi) # evaluate basis at point ξ.
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sum([basis[i]*data[i] for i=1:length(data)]) # sum results
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end
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""" testing ContinuousField """
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function test_continuous_field()
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info("testing continuous field")
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fs = FieldSet()
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fs["discrete field"] = [1, 2, 3, 4]
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basis(xi) = 1/4*[
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@@ -166,7 +289,7 @@ function test_continuous_field()
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(1+xi[1])*(1-xi[2]),
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(1+xi[1])*(1+xi[2]),
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(1-xi[1])*(1+xi[2])]
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fs["continuous field"] = MyFunnyContinuousField(basis, fs["discrete field"])
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fs["continuous field"] = MyContinuousField(basis, fs["discrete field"])
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@test fs["continuous field"]([0.0, 0.0], 1.0) == 1/4*(1+2+3+4)
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T0 = last(fs["discrete field"])
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T1 = T0 + 1.0
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@@ -174,21 +297,20 @@ function test_continuous_field()
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push!(fs["discrete field"], TimeStep(1.0, T0+1.0))
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@test fs["continuous field"]([0.0, 0.0], 1.0) == 1/4*(2+3+4+5)
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end
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test_continuous_field()
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type MyFunnyDiscreteField <: DiscreteField
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type MyDiscreteField <: DiscreteField
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discrete_points :: Vector
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continuousfield :: ContinuousField
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continuous_field :: ContinuousField
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end
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Base.length(field::MyFunnyDiscreteField) = length(field.discrete_points)
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Base.endof(field::MyFunnyDiscreteField) = endof(field.discrete_points)
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Base.last(field::MyFunnyDiscreteField) = Float64[field[i] for i=1:length(field)]
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function Base.getindex(field::MyFunnyDiscreteField, idx::Int64)
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field.continuousfield(field.discrete_points[idx])
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Base.length(field::MyDiscreteField) = length(field.discrete_points)
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Base.endof(field::MyDiscreteField) = endof(field.discrete_points)
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Base.last(field::MyDiscreteField) = Float64[field[i] for i=1:length(field)]
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function Base.getindex(field::MyDiscreteField, idx::Int64)
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field.continuous_field(field.discrete_points[idx])
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end
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||||
""" testing DiscreteField """
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||||
function test_discrete_field()
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info("testing discrete field")
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||||
fs = FieldSet()
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||||
fs["discrete field"] = [1, 2, 3, 4]
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||||
basis(xi) = 1/4*[
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||||
@@ -196,98 +318,35 @@ function test_discrete_field()
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||||
(1+xi[1])*(1-xi[2]),
|
||||
(1+xi[1])*(1+xi[2]),
|
||||
(1-xi[1])*(1+xi[2])]
|
||||
fs["continuous field"] = MyFunnyContinuousField(basis, fs["discrete field"])
|
||||
fs["continuous field"] = MyContinuousField(basis, fs["discrete field"])
|
||||
discrete_points = 1.0/sqrt(3.0)*Vector[[-1, -1], [1, -1], [1, 1], [-1, 1]]
|
||||
fs["discrete field 2"] = MyFunnyDiscreteField(discrete_points, fs["continuous field"])
|
||||
fs["discrete field 2"] = MyDiscreteField(discrete_points, fs["continuous field"])
|
||||
@test last(fs["discrete field 2"]) ≈ [
|
||||
1.7559830641437073,
|
||||
2.0893163974770410,
|
||||
2.9106836025229590,
|
||||
3.2440169358562922]
|
||||
end
|
||||
test_discrete_field()
|
||||
|
||||
|
||||
function test_interpolation_in_temporal_basis()
|
||||
info("testing interpolation on temporal basis")
|
||||
temporalbasis = TemporalBasis((t) -> [1-t, t], (t) -> [-1, 1])
|
||||
@test temporalbasis(0.2) == [0.8, 0.2]
|
||||
i1 = Increment([0.0])
|
||||
i2 = Increment([1.0])
|
||||
i3 = Increment([2.0])
|
||||
t1 = TimeStep(0.0, Increment[i1])
|
||||
t2 = TimeStep(2.0, Increment[i2])
|
||||
t3 = TimeStep(4.0, Increment[i3])
|
||||
field = Field(TimeStep[t1, t2, t3])
|
||||
@test call(field, temporalbasis, -Inf) == [0.0]
|
||||
@test call(field, temporalbasis, 0.0) == [0.0]
|
||||
@test call(field, temporalbasis, 1.0) == [0.5]
|
||||
@test call(field, temporalbasis, 2.0) == [1.0]
|
||||
@test call(field, temporalbasis, 3.0) == [1.5]
|
||||
@test call(field, temporalbasis, 4.0) == [2.0]
|
||||
@test call(field, temporalbasis, +Inf) == [2.0]
|
||||
@test call(field, temporalbasis, +Inf, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, -Inf, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, 0.0, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, 0.5, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, 1.0, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, 1.5, Val{:derivative}) == [0.5]
|
||||
@test call(field, temporalbasis, 2.0, Val{:derivative}) == [0.5]
|
||||
fs = FieldSet()
|
||||
|
||||
t = collect(linspace(0, 2, 5))
|
||||
x = 1/2*t.^2
|
||||
x2 = tuple(collect(zip(t, x))...)
|
||||
# => ((0.0,0.0),(0.5,0.125),(1.0,0.5),(1.5,1.125),(2.0,2.0))
|
||||
fs["particle"] = x2
|
||||
position = call(fs["particle"], temporalbasis, 1.0)[1]
|
||||
@test position ≈ 0.50
|
||||
velocity = call(fs["particle"], temporalbasis, 2.0, Val{:derivative})[1]
|
||||
@test velocity ≈ (2.0-1.125)/0.5 # = 1.75
|
||||
velocity = call(fs["particle"], temporalbasis, 1.0, Val{:derivative})[1]
|
||||
v1 = (0.500 - 0.125)/0.5
|
||||
v2 = (1.125 - 0.500)/0.5
|
||||
info("v1 = $v1, v2 = $v2")
|
||||
info(mean([v1, v2]))
|
||||
@test velocity ≈ mean([v1, v2]) # = 1.00
|
||||
|
||||
# FIXME, returns wrong type.
|
||||
#=
|
||||
@test isa(position, Increment) == true
|
||||
@test isa(velocity, Increment) == true
|
||||
=#
|
||||
function test_field_conversion()
|
||||
i1 = Increment([1, 2, 3])
|
||||
i2 = Increment([2, 3, 4])
|
||||
t1 = TimeStep(1.0, Increment[i1, i2])
|
||||
i3 = Increment([2, 3, 4])
|
||||
i4 = Increment([3, 4, 5])
|
||||
t2 = TimeStep(2.0, Increment[i3, i4])
|
||||
timesteps = TimeStep[t1, t2]
|
||||
info("timesteps = $timesteps")
|
||||
f1 = Field(timesteps)
|
||||
info("field = $f1")
|
||||
@test length(f1) == 2
|
||||
@test isa(f1, Field)
|
||||
@test f1[1][1] == [1, 2, 3]
|
||||
@test f1[1][2] == [2, 3, 4]
|
||||
@test f1[2][1] == [2, 3, 4]
|
||||
@test f1[2][2] == [3, 4, 5]
|
||||
@test f1[1].time == 1.0
|
||||
@test f1[2].time == 2.0
|
||||
end
|
||||
test_interpolation_in_temporal_basis()
|
||||
|
||||
function test_interpolation_in_spatial_basis()
|
||||
info("testing interpolation on spatial basis")
|
||||
basis(xi) = 1/4*[
|
||||
(1-xi[1])*(1-xi[2])
|
||||
(1+xi[1])*(1-xi[2])
|
||||
(1+xi[1])*(1+xi[2])
|
||||
(1-xi[1])*(1+xi[2])]'
|
||||
dbasis(xi) = 1/4*[
|
||||
-(1-xi[2]) (1-xi[2]) (1+xi[2]) -(1+xi[2])
|
||||
-(1-xi[1]) -(1+xi[1]) (1+xi[1]) (1-xi[1])]
|
||||
spatialbasis = SpatialBasis(basis, dbasis)
|
||||
@test spatialbasis.basis([0.0, 0.0]) == 1/4*[1 1 1 1]
|
||||
|
||||
fs = FieldSet()
|
||||
fs["geometry"] = Vector{Float64}[[0.0,0.0], [1.0,0.0], [1.0,1.0], [0.0,1.0]]
|
||||
fs["displacement"] = (0.0, zeros(2, 4)), (1.0, Vector[[0.0, 0.0], [0.0, 0.0], [0.25, 0.0], [0.0, 0.0]])
|
||||
|
||||
X = call(last(fs["geometry"]), spatialbasis, [0.0, 0.0])
|
||||
u = call(last(fs["displacement"]), spatialbasis, [0.0, 0.0])
|
||||
x = X+u
|
||||
@test X ≈ 1/2*[1, 1]
|
||||
@test x ≈ [9/16, 1/2]
|
||||
|
||||
gradu = call(last(fs["displacement"]), spatialbasis, [0.0, 0.0], last(fs["geometry"]), Val{:gradient})
|
||||
@test gradu ≈ [0.125 0.125; 0.0 0.0]
|
||||
end
|
||||
test_interpolation_in_spatial_basis()
|
||||
|
||||
|
||||
println("test_fields.jl: all test passing.")
|
||||
|
||||
end
|
||||
|
||||
Reference in New Issue
Block a user