forked from SciML/ModelingToolkit.jl
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathdq_units.jl
172 lines (149 loc) · 5.31 KB
/
dq_units.jl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
using ModelingToolkit, OrdinaryDiffEq, JumpProcesses, IfElse, DynamicQuantities
using Test
MT = ModelingToolkit
@parameters τ [unit = u"s"] γ
@variables t [unit = u"s"] E(t) [unit = u"J"] P(t) [unit = u"W"]
D = Differential(t)
# Basic access
@test MT.get_unit(t) == u"s"
@test MT.get_unit(E) == u"J"
@test MT.get_unit(τ) == u"s"
@test MT.get_unit(γ) == MT.unitless
@test MT.get_unit(0.5) == MT.unitless
@test MT.get_unit(MT.SciMLBase.NullParameters()) == MT.unitless
# Prohibited unit types
@parameters γ [unit = 1u"ms"]
@test_throws MT.ValidationError MT.get_unit(γ)
eqs = [D(E) ~ P - E / τ
0 ~ P]
@test MT.validate(eqs)
@named sys = ODESystem(eqs)
@test !MT.validate(D(D(E)) ~ P)
@test !MT.validate(0 ~ P + E * τ)
# Disabling unit validation/checks selectively
@test_throws MT.ArgumentError ODESystem(eqs, t, [E, P, t], [τ], name = :sys)
ODESystem(eqs, t, [E, P, t], [τ], name = :sys, checks = MT.CheckUnits)
eqs = [D(E) ~ P - E / τ
0 ~ P + E * τ]
@test_throws MT.ValidationError ODESystem(eqs, name = :sys, checks = MT.CheckAll)
@test_throws MT.ValidationError ODESystem(eqs, name = :sys, checks = true)
ODESystem(eqs, name = :sys, checks = MT.CheckNone)
ODESystem(eqs, name = :sys, checks = false)
@test_throws MT.ValidationError ODESystem(eqs, name = :sys,
checks = MT.CheckComponents | MT.CheckUnits)
@named sys = ODESystem(eqs, checks = MT.CheckComponents)
@test_throws MT.ValidationError ODESystem(eqs, t, [E, P, t], [τ], name = :sys,
checks = MT.CheckUnits)
# connection validation
@connector function Pin(; name)
sts = @variables(v(t)=1.0, [unit = u"V"],
i(t)=1.0, [unit = u"A", connect = Flow])
ODESystem(Equation[], t, sts, []; name = name)
end
@connector function OtherPin(; name)
sts = @variables(v(t)=1.0, [unit = u"mV"],
i(t)=1.0, [unit = u"mA", connect = Flow])
ODESystem(Equation[], t, sts, []; name = name)
end
@connector function LongPin(; name)
sts = @variables(v(t)=1.0, [unit = u"V"],
i(t)=1.0, [unit = u"A", connect = Flow],
x(t)=1.0)
ODESystem(Equation[], t, sts, []; name = name)
end
@named p1 = Pin()
@named p2 = Pin()
@test_throws MT.ValidationError @named op = OtherPin()
@named lp = LongPin()
good_eqs = [connect(p1, p2)]
@test MT.validate(good_eqs)
@named sys = ODESystem(good_eqs, t, [], [])
# Array variables
@variables t [unit = u"s"] x(t)[1:3] [unit = u"m"]
@parameters v[1:3]=[1, 2, 3] [unit = u"m/s"]
D = Differential(t)
eqs = D.(x) .~ v
ODESystem(eqs, name = :sys)
# Difference equation
@parameters t [unit = u"s"] a [unit = u"s"^-1]
@variables x(t) [unit = u"kg"]
δ = Differential(t)
D = Difference(t; dt = 0.1u"s")
eqs = [
δ(x) ~ a * x,
]
de = ODESystem(eqs, t, [x], [a], name = :sys)
# Nonlinear system
@parameters a [unit = u"kg"^-1]
@variables x [unit = u"kg"]
eqs = [
0 ~ a * x,
]
@named nls = NonlinearSystem(eqs, [x], [a])
# SDE test w/ noise vector
@parameters τ [unit = u"s"] Q [unit = u"W"]
@variables t [unit = u"s"] E(t) [unit = u"J"] P(t) [unit = u"W"]
D = Differential(t)
eqs = [D(E) ~ P - E / τ
P ~ Q]
noiseeqs = [0.1u"W",
0.1u"W"]
@named sys = SDESystem(eqs, noiseeqs, t, [P, E], [τ, Q])
# With noise matrix
noiseeqs = [0.1u"W" 0.1u"W"
0.1u"W" 0.1u"W"]
@named sys = SDESystem(eqs, noiseeqs, t, [P, E], [τ, Q])
# Invalid noise matrix
noiseeqs = [0.1u"W" 0.1u"W"
0.1u"W" 0.1u"s"]
@test !MT.validate(eqs, noiseeqs)
# Non-trivial simplifications
@variables t [unit = u"s"] V(t) [unit = u"m"^3] L(t) [unit = u"m"]
@parameters v [unit = u"m/s"] r [unit = u"m"^3 / u"s"]
D = Differential(t)
eqs = [D(L) ~ v,
V ~ L^3]
@named sys = ODESystem(eqs)
sys_simple = structural_simplify(sys)
eqs = [D(V) ~ r,
V ~ L^3]
@named sys = ODESystem(eqs)
sys_simple = structural_simplify(sys)
@variables V [unit = u"m"^3] L [unit = u"m"]
@parameters v [unit = u"m/s"] r [unit = u"m"^3 / u"s"] t [unit = u"s"]
eqs = [V ~ r * t,
V ~ L^3]
@named sys = NonlinearSystem(eqs, [V, L], [t, r])
sys_simple = structural_simplify(sys)
eqs = [L ~ v * t,
V ~ L^3]
@named sys = NonlinearSystem(eqs, [V, L], [t, r])
sys_simple = structural_simplify(sys)
#Jump System
@parameters β [unit = u"(mol^2*s)^-1"] γ [unit = u"(mol*s)^-1"] t [unit = u"s"] jumpmol [
unit = u"mol",
]
@variables S(t) [unit = u"mol"] I(t) [unit = u"mol"] R(t) [unit = u"mol"]
rate₁ = β * S * I
affect₁ = [S ~ S - 1 * jumpmol, I ~ I + 1 * jumpmol]
rate₂ = γ * I
affect₂ = [I ~ I - 1 * jumpmol, R ~ R + 1 * jumpmol]
j₁ = ConstantRateJump(rate₁, affect₁)
j₂ = VariableRateJump(rate₂, affect₂)
js = JumpSystem([j₁, j₂], t, [S, I, R], [β, γ], name = :sys)
affect_wrong = [S ~ S - jumpmol, I ~ I + 1]
j_wrong = ConstantRateJump(rate₁, affect_wrong)
@test_throws MT.ValidationError JumpSystem([j_wrong, j₂], t, [S, I, R], [β, γ], name = :sys)
rate_wrong = γ^2 * I
j_wrong = ConstantRateJump(rate_wrong, affect₂)
@test_throws MT.ValidationError JumpSystem([j₁, j_wrong], t, [S, I, R], [β, γ], name = :sys)
# mass action jump tests for SIR model
maj1 = MassActionJump(2 * β / 2, [S => 1, I => 1], [S => -1, I => 1])
maj2 = MassActionJump(γ, [I => 1], [I => -1, R => 1])
@named js3 = JumpSystem([maj1, maj2], t, [S, I, R], [β, γ])
#Test unusual jump system
@parameters β γ t
@variables S(t) I(t) R(t)
maj1 = MassActionJump(2.0, [0 => 1], [S => 1])
maj2 = MassActionJump(γ, [S => 1], [S => -1])
@named js4 = JumpSystem([maj1, maj2], t, [S], [β, γ])