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Update test_types.jl
Added description for testing
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+10
-3
@@ -33,30 +33,37 @@ facts("test fields and interpolation") do
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u2 = (t*u)(0.5)
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@fact u2.values --> [0.5, 1.5]
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# interpolation between set of fields
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# interpolation in set of fields is defined for every time value
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u1 = Field(0.0, [0.0, 0.0])
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u2 = Field(1.0, [1.0, 2.0])
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u3 = Field(2.0, [0.5, 1.5])
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u = Field[u1, u2, u3]
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@fact u(-1.0).values --> [0.0, 0.0]
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@fact u(-1.0).values --> [0.0, 0.0] # "out of range -" -> first known value
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@fact u(0.0).values --> [0.0, 0.0]
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@fact u(1.0).values --> [1.0, 2.0]
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@fact u(2.0).values --> [0.5, 1.5]
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@fact u(3.0).values --> [0.5, 1.5]
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@fact u(3.0).values --> [0.5, 1.5] # "out of range +" -> last known value
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@fact u(0.5).values --> [0.5, 1.0]
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@fact u(1.5).values --> [0.75, 1.75]
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# use Inf to get very first or last value of field
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@fact u(-Inf).values --> [0.0, 0.0]
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@fact u(+Inf).values --> [0.75, 1.75]
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# multidimensional interpolation with and without derivatives
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X = Field(0.0, Vector[[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0]])
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h = Basis((xi) ->
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[(1-xi[1])*(1-xi[2])/4
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(1+xi[1])*(1-xi[2])/4
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(1+xi[1])*(1+xi[2])/4
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(1-xi[1])*(1+xi[2])/4])
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# midpoint of field
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@fact (h*X)([0.0, 0.0]) --> [0.5, 0.5]
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@fact h([0.0, 0.0])*X --> [0.5, 0.5]
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# derivatives of field at midpoint
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@fact diff(h)([0.0, 0.0])*X --> [0.5 0.0; 0.0 0.5]
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@fact (diff(h)*X)([0.0, 0.0]) --> [0.5 0.0; 0.0 0.5]
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# multiplying scalar field with a vector -> vector
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b = Basis((xi) -> [1/2*(1-xi[1]), 1/2*(1+xi[1])])
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f = Field(0.0, 100.0)
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@fact b(0.0) * f --> [50.0, 50.0]
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