DimensionalData.jl

DimensionalData.jl provides tools and abstractions for working with rectangular arrays that have named dimensions.

The DimensionalData extension in JuMP lets you construct a DimensionalData.DimArray as an alternative to Containers.DenseAxisArray in the JuMP macros.

License

DimensionalData.jl is licensed under the MIT license.

Installation

Install DimensionalData using Pkg.add:

import Pkg
Pkg.add("DimensionalData")

Use with JuMP

Activate the extension by loading both JuMP and DimensionalData:

julia> using JuMP, DimensionalData

Then, pass container = DimensionalData.DimArray in the @variable, @constraint, or @expression macros:

julia> model = Model();

julia> @variable(
           model,
           x[i = 2:4, j = ["a", "b"]] >= i,
           container = DimensionalData.DimArray,
       )
╭─────────────────────────────╮
│ 3×2 DimArray{VariableRef,2} │
├─────────────────────────────┴─────────────────── dims ┐
  ↓ i Sampled{Int64} 2:4 ForwardOrdered Regular Points,
  → j Categorical{String} ["a", "b"] ForwardOrdered
└───────────────────────────────────────────────────────┘
 ↓ →  "a"     "b"
 2    x[2,a]  x[2,b]
 3    x[3,a]  x[3,b]
 4    x[4,a]  x[4,b]

Here x is a DimensionalData.Dim array object, so indexing uses the DimensionalData syntax:

julia> x[At(2), At("a")]
x[2,a]

julia> x[2, 2]
x[3,b]

You can use container = DimensionalData.DimArray in the @expression macro:

julia> @expression(
           model,
           expr[j = ["a", "b"]],
           sum(x[At(i), At(j)] for i in 2:4),
           container = DimensionalData.DimArray,
       )
╭───────────────────────────────╮
│ 2-element DimArray{AffExpr,1} │
├───────────────────────────────┴───────────── dims ┐
  ↓ j Categorical{String} ["a", "b"] ForwardOrdered
└───────────────────────────────────────────────────┘
 "a"  x[2,a] + x[3,a] + x[4,a]
 "b"  x[2,b] + x[3,b] + x[4,b]

and in @constraint:

julia> @constraint(
           model,
           [j = ["a", "b"]],
           expr[At(j)] <= 1,
           container = DimensionalData.DimArray,
       )
╭──────────────────────────────────────────────────────────────────────────────╮
│ 2-element DimArray{ConstraintRef{Model, MathOptInterface.ConstraintIndex{MathOptInterface.ScalarAffineFunction{Float64}, MathOptInterface.LessThan{Float64}}, ScalarShape},1} │
├──────────────────────────────────────────────────────────────────────── dims ┤
  ↓ j Categorical{String} ["a", "b"] ForwardOrdered
└──────────────────────────────────────────────────────────────────────────────┘
 "a"  x[2,a] + x[3,a] + x[4,a] ≤ 1
 "b"  x[2,b] + x[3,b] + x[4,b] ≤ 1

Documentation

See the DimensionalData.jl documentation for more details on the syntax and features of DimensionalData.DimArray.