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docs: document @mtkmodel and @connector
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156 changes: 156 additions & 0 deletions docs/src/basics/MTKModel_Connector.md
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## Defining components with `@mtkmodel`

`@mtkmodel` is a convenience macro to define ModelingToolkit components. It returns `ModelingToolkit.Model`, which includes a constructor that returns an ODESystem, a `structure` dictionary with metadata and flag `isconnector` which is set to `false`.

### What can an MTK-Model definition have?

`@mtkmodel` definition contains begin blocks of

- `@components`: for listing sub-components of the system
- `@equations`: for the list of equations
- `@extend`: for extending a base system and unpacking its states
- `@parameters`: for specifying the symbolic parameters
- `@structural_parameters`: for specifying non-symbolic parameters
- `@variables`: for specifing the states

Let's explore these in more detail with the following example:

```@example mtkmodel-example
using ModelingToolkit
@mtkmodel ModelA begin
@parameters begin
k1
k2
end
end
@mtkmodel ModelB begin
@parameters begin
p1 = 1.0, [description = "Parameter of ModelB"]
p2 = 1.0, [description = "Parameter of ModelB"]
end
end
@mtkmodel ModelC begin
@structural_parameters begin
f = sin
end
begin
v_var = 1.0
end
@variables begin
v(t) = v_var
end
@extend p1, p2 = model_b = ModelB(; p1)
@components begin
model_a = ModelA(; k1)
end
@equations begin
model_a.k1 ~ f(v)
end
end
```

#### `@parameters` and `@variables` begin block

- Parameters and variables are declared with respective begin blocks.
- Variables must be functions of an independent variable.
- Optionally, default values and metadata can be specified for these parameters and variables. See `ModelB` in the above example.
- Along with creating parameters and variables, keyword arguments of same name with default value `nothing` are created.
- Whenever a parameter or variable has default value, for example `v(t) = 0.0`, a symbolic variable named `v` with default value 0.0 and a keyword argument `v`, with default value `nothing` are created. <br> This way, users can optionally pass new value of `v` while creating a component.

```julia
julia > @named model_c = ModelC(; v = 2.0);

julia > ModelingToolkit.getdefault(model_c.v)
2.0
```

#### `@structural_parameters` begin block

- This block is for non symbolic input arguements. These are for inputs that usually are not meant to be part of components; but influence how they are defined. One can list inputs like boolean flags, functions etc... here.
- Whenever default values are specified, unlike parameters/variables, they are reflected in the keyword argument list.

#### `@extend` block

To extend a partial system,

- List the variables to unpack. If there is a single variable, explicitly specify it as a tuple.
- Give a name to the base system
- List the kwargs of the base system that should be listed as kwargs of the main component.
- Note that in above example, `p1` is promoted as an argument of `ModelC`. Users can set the value of `p1` as

```julia
julia> @named model_c = ModelC(; p1 = 2.0)

```

However, as `p2` isn't listed in the model definition, its default can't be modified by users.

#### `@components` begin block

- Declare the subcomponents within `@components` begin block.
- The arguments in these subcomponents are promoted as keyword arguments as `subcomponent_name__argname` with `nothing` as default value.
- Whenever components are created with `@named` macro, these can be accessed with `.` operator as `subcomponent_name.argname`
- In the above example, `k1` of `model_a` can be set in following ways:

```julia
julia> @named model_c1 = ModelC(; model_a.k1 = 1);
# or as

julia> model_c2 = ModelC(; name = :model_c, model_a__k1 = 1);

```

And as `k2` isn't listed in the sub-component definition of `ModelC`, its default value can't be modified by users.

#### `@equations` begin block

- List all the equations here

#### A begin block

- Any other Julia operations can be included with dedicated begin blocks.

## Defining connectors with `@connector`

`@connector` returns `ModelingToolkit.Model`. It includes a constructor that returns a connector ODESystem, a `structure` dictionary with metadata and flag `isconnector` which is set to `true`.

A simple connector can be defined with syntax similar to following example:

```julia
using ModelingToolkit

@connector Pin begin
v(t) = 0.0, [description = "Voltage"]
i(t), [connect = Flow]
end
```

- Variables (as function of independent variable) are listed out in the definition. These variables can optionally have default values and metadata like `descrption`, `connect` and so on.

`@connector`s accepts begin blocks of `@components`, `@equations`, `@extend`, `@parameters`, `@structural_parameters`, `@variables`. These keywords mean the same as described above for `@mtkmodel`.

!!! note

For more examples of usage, checkout [ModelingToolkitStandardLibrary.jl](https://github.com/SciML/ModelingToolkitStandardLibrary.jl/)

* * *

### What's a `structure` dictionary?

For components defined with `@mtkmodel` or `@connector`, a dictionary with metadata is created. It lists `:components` (sub-component list), `:extend` (the extended states and base system), `:parameters`, `:variables`, ``:kwargs`` (list of keyword arguments), `:independent_variable`, `:equations`.

For example, the structure of `ModelC` is:

```julia
julia> ModelC.structure
Dict{Symbol, Any} with 6 entries:
:components => [[:model_a, :ModelA]]
:variables => Dict{Symbol, Dict{Symbol, Any}}(:v=>Dict(:default=>:v_var))
:kwargs => Dict{Symbol, Any}(:f=>:sin, :v=>:v_var, :p1=>nothing, :model_a__k1=>nothing)
:independent_variable => t
:extend => Any[[:p1, :p2], :model_b, :ModelB]
:equations => ["model_a.k1 ~ f(v)"]
```
19 changes: 19 additions & 0 deletions src/systems/model_parsing.jl
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"""
$(TYPEDEF)
ModelingToolkit component or connector with metadata
# Fields
$(FIELDS)
"""
struct Model{F, S}
"""The constructor that returns ODESystem."""
f::F
"""
The dictionary with metadata like keyword arguements (:kwargs), base
system this Model extends (:extend), sub-components of the Model (:components),
variables (:variables), parameters (:parameters), structural parameters
(:structural_parameters) and equations (:equations).
"""
structure::S
"""
This flag is `true` when the Model is a connector and is `false` when it is
a component
"""
isconnector::Bool
end
(m::Model)(args...; kw...) = m.f(args...; kw...)
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