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#730 - Add constraints list of Zonotope #732

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Oct 7, 2018
Merged

#730 - Add constraints list of Zonotope #732

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26 changes: 25 additions & 1 deletion src/Zonotope.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -6,7 +6,8 @@ export Zonotope,
linear_map,
scale,
ngens,
reduce_order
reduce_order,
constraints_list

"""
Zonotope{N<:Real} <: AbstractCentrallySymmetricPolytope{N}
Expand Down Expand Up @@ -389,3 +390,26 @@ function reduce_order(Z::Zonotope{N}, r)::Zonotope{N} where {N<:Real}
end
return Zonotope(c, Gred)
end

"""
constraints_list(P::Zonotope{N})::Vector{LinearConstraint{N}} where {N<:Real}

Return the list of constraints defining a zonotope.

### Input

- `Z` -- zonotope

### Output

The list of constraints of the polyhedron.

### Algorithm

This is a naive implementation that calculates all vertices and transforms
to the H-representation of the zonotope. The transformation to the dual
representation requires the concrete polyhedra package `Polyhedra`.
"""
function constraints_list(Z::Zonotope{N})::Vector{LinearConstraint{N}} where {N<:Real}
return constraints_list(convert(HPolytope, Z))
end