mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-08-18 03:19:21 +00:00
Jukka Aho
353 lines
11 KiB
Julia
353 lines
11 KiB
Julia
# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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module FieldTests
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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: DefaultContinuousField
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using JuliaFEM.Test
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""" testing Increment """
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function test_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 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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# 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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end
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""" testing TimeStep """
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function test_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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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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""" testing DefaultDiscreteField """
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function test_default_discrete_field()
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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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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, 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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info("test_fieldset(): testing adding discrete field to FieldSet")
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fs = FieldSet()
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fs["temperature"] = DefaultDiscreteField([1, 2, 3])
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@test length(fs) == 1
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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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fs2["vector field"] = reshape(collect(1:8), 2, 4)
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fs2["second order tensor field"] = reshape(collect(1:3*3*4), 3, 3, 4)
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fs2["fourth order tensor field"] = reshape(collect(1:3*3*3*3*4), 3, 3, 3, 3, 4)
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timestep = fs2["vector field"][end]
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@test timestep.time == 0.0
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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 = $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 = $T2")
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@test last(fs["temperature"]) == [2, 3, 4, 5]
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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_fieldset(): test adding several time steps at once without time vector")
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fs3 = 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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end
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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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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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(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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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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ts = TimeStep(1.0, T1)
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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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type MyDiscreteField <: DiscreteField
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discrete_points :: Vector
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continuous_field :: ContinuousField
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end
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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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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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(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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fs["continuous field"] = MyContinuousField(basis, fs["discrete field"])
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discrete_points = 1.0/sqrt(3.0)*Vector[[-1, -1], [1, -1], [1, 1], [-1, 1]]
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fs["discrete field 2"] = MyDiscreteField(discrete_points, fs["continuous field"])
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@test last(fs["discrete field 2"]) ≈ [
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1.7559830641437073,
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2.0893163974770410,
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2.9106836025229590,
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3.2440169358562922]
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end
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function test_field_conversion()
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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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t2 = TimeStep(2.0, Increment[i3, i4])
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timesteps = TimeStep[t1, t2]
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info("timesteps = $timesteps")
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f1 = Field(timesteps)
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info("field = $f1")
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@test length(f1) == 2
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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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end
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end
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