Merge branch 'master' into tutorial

Author: iliailmer

src/ModelingToolkit.jl

@@ -151,6 +151,7 @@ using .SystemStructures
 
 include("systems/alias_elimination.jl")
 include("structural_transformation/StructuralTransformations.jl")
+
 @reexport using .StructuralTransformations
 
 for S in subtypes(ModelingToolkit.AbstractSystem)
@@ -207,4 +208,6 @@ export modelingtoolkitize
 export @variables, @parameters
 export @named, @nonamespace, @namespace, extend, compose
 
+include("precompile.jl")
+
 end # module

src/precompile.jl

@@ -0,0 +1,28 @@
+let
+    while true
+        @parameters t σ ρ β
+        @variables x(t) y(t) z(t)
+        D = Differential(t)
+
+        eqs = [D(D(x)) ~ σ*(y-x) + x^0.000000000000135,
+               D(y) ~ x*(ρ-z)-y,
+               D(z) ~ x*y - β*z]
+
+        @named sys = ODESystem(eqs)
+        sys = structural_simplify(sys)
+
+        u0 = [D(x) => 2.0,
+              x => 1.0,
+              y => 0.0,
+              z => 0.0]
+
+        p  = [σ => 28.0,
+              ρ => 10.0,
+              β => 8/3]
+
+        tspan = (0.0,100.0)
+        prob = ODEProblem(sys,u0,tspan,p,jac=true)
+
+        break
+    end
+end