remove type parameter from signatures

docs/src/lib/interfaces/AbstractCentrallySymmetric.md

@@ -41,7 +41,7 @@ extrema(::AbstractCentrallySymmetric)
 extrema(::AbstractCentrallySymmetric, ::Int)
 isbounded(::AbstractCentrallySymmetric)
 isempty(::AbstractCentrallySymmetric)
-isuniversal(::AbstractCentrallySymmetric{N}, ::Bool=false) where {N}
+isuniversal(::AbstractCentrallySymmetric, ::Bool=false)
 ```
 
 ## Implementations

docs/src/lib/interfaces/AbstractHyperrectangle.md

@@ -26,7 +26,7 @@ This interface defines the following functions:
 
 ```@docs
 □(c, r)
-constraints_list(::AbstractHyperrectangle{N}) where {N}
+constraints_list(::AbstractHyperrectangle)
 extrema(::AbstractHyperrectangle)
 extrema(::AbstractHyperrectangle, ::Int)
 generators(::AbstractHyperrectangle)

docs/src/lib/interfaces/AbstractPolytope.md

@@ -35,7 +35,7 @@ This interface defines the following functions:
 ```@docs
 isbounded(::AbstractPolytope)
 isempty(::AbstractPolytope)
-isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N}
+isuniversal(::AbstractPolytope, ::Bool=false)
 volume(::AbstractPolytope)
 ```
 

docs/src/lib/interfaces/AbstractSingleton.md

@@ -27,17 +27,17 @@ This interface defines the following functions:
 center(::AbstractSingleton)
 center(::AbstractSingleton, ::Int)
 element(::AbstractSingleton, ::Int)
-generators(::AbstractSingleton{N}) where {N}
-genmat(::AbstractSingleton{N}) where {N}
+generators(::AbstractSingleton)
+genmat(::AbstractSingleton)
 high(::AbstractSingleton)
 high(::AbstractSingleton, ::Int)
 low(::AbstractSingleton)
 low(::AbstractSingleton, ::Int)
 ngens(::AbstractSingleton)
-radius_hyperrectangle(::AbstractSingleton{N}) where {N}
-radius_hyperrectangle(::AbstractSingleton{N}, ::Int) where {N}
+radius_hyperrectangle(::AbstractSingleton)
+radius_hyperrectangle(::AbstractSingleton, ::Int)
 reflect(::AbstractSingleton)
-vertices(::AbstractSingleton{N}) where {N}
+vertices(::AbstractSingleton)
 vertices_list(::AbstractSingleton)
 ∈(::AbstractVector, ::AbstractSingleton)
 ρ(::AbstractVector, ::AbstractSingleton)

docs/src/lib/sets/Ball2.md

@@ -71,7 +71,7 @@ sample(::LazySet, ::Int)
 CurrentModule = LazySets.Ball2Module
 ```
 ```@docs
-sample(::Ball2{N}, ::Int) where {N}
+sample(::Ball2, ::Int)
 ```
 ```@meta
 CurrentModule = LazySets.API
@@ -187,7 +187,7 @@ CurrentModule = LazySets.API
 CurrentModule = LazySets
 ```
 * [`isempty`](@ref isempty(::AbstractCentrallySymmetric))
-* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric, ::Bool=false))
 
 Inherited from [`AbstractBallp`](@ref):
 * [`high`](@ref high(::AbstractBallp, ::Int))

docs/src/lib/sets/BallInf.md

@@ -148,7 +148,7 @@ Inherited from [`AbstractCentrallySymmetricPolytope`](@ref):
 * [`center`](@ref center(::LazySet, ::Int))
 * [`dim`](@ref dim(::AbstractCentrallySymmetricPolytope))
 * [`isempty`](@ref isempty(::AbstractCentrallySymmetricPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 
 Inherited from [`AbstractZonotope`](@ref):
 * [`order`](@ref order(::AbstractZonotope))
@@ -163,7 +163,7 @@ CurrentModule = LazySets.API
 ```@meta
 CurrentModule = LazySets
 ```
-* [`constraints_list`](@ref constraints_list(::AbstractHyperrectangle{N}) where {N})
+* [`constraints_list`](@ref constraints_list(::AbstractHyperrectangle))
 * [`extrema`](@ref extrema(::AbstractHyperrectangle))
 * [`extrema`](@ref extrema(::AbstractHyperrectangle, ::Int))
 * [`generators`](@ref generators(::AbstractHyperrectangle))

docs/src/lib/sets/Ballp.md

@@ -91,7 +91,7 @@ Inherited from [`AbstractCentrallySymmetric`](@ref):
 * [`isboundedtype`](@ref isboundedtype(::Type{AbstractCentrallySymmetric}))
 * [`isconvextype`](@ref isconvextype(::Type{AbstractCentrallySymmetric}))
 * [`isempty`](@ref isempty(::AbstractCentrallySymmetric))
-* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric, ::Bool=false))
 
 Inherited from [`AbstractBallp`](@ref):
 * [`low`](@ref low(::AbstractBallp, ::Int))

docs/src/lib/sets/Ellipsoid.md

@@ -126,4 +126,4 @@ CurrentModule = LazySets.API
 CurrentModule = LazySets
 ```
 * [`isempty`](@ref isempty(::AbstractCentrallySymmetric))
-* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetric, ::Bool=false))

docs/src/lib/sets/HParallelotope.md

@@ -50,7 +50,7 @@ Inherited from [`AbstractCentrallySymmetricPolytope`](@ref):
 * [`an_element`](@ref an_element(::AbstractCentrallySymmetricPolytope))
 * [`extrema`](@ref extrema(::AbstractCentrallySymmetricPolytope))
 * [`extrema`](@ref extrema(::AbstractCentrallySymmetricPolytope, ::Int))
-* [`isuniversal`](@ref isuniversal(::AbstractCentrallySymmetricPolytope, ::Bool=false))
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 
 Inherited from [`AbstractZonotope`](@ref):
 * [`isempty`](@ref isempty(::AbstractZonotope))

docs/src/lib/sets/HPolygon.md

@@ -29,7 +29,7 @@ Inherited from [`LazySet`](@ref):
 
 Inherited from [`AbstractPolytope`](@ref):
 * [`isempty`](@ref isempty(::AbstractPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 
 Inherited from [`AbstractPolygon`](@ref):
 * [`dim`](@ref dim(::AbstractPolygon))

docs/src/lib/sets/HPolygonOpt.md

@@ -18,7 +18,7 @@ Inherited from [`LazySet`](@ref):
 
 Inherited from [`AbstractPolytope`](@ref):
 * [`isempty`](@ref isempty(::AbstractPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 
 Inherited from [`AbstractPolygon`](@ref):
 * [`dim`](@ref dim(::AbstractPolygon))

docs/src/lib/sets/HPolytope.md

@@ -47,5 +47,5 @@ CurrentModule = LazySets
 ```
 
 Inherited from [`AbstractPolytope`](@ref):
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 * [`volume`](@ref volume(::AbstractPolytope))

docs/src/lib/sets/Hyperrectangle.md

@@ -50,7 +50,7 @@ Inherited from [`AbstractZonotope`](@ref):
 * [`linear_map`](@ref linear_map(::AbstractMatrix, ::AbstractZonotope))
 
 Inherited from [`AbstractHyperrectangle`](@ref):
-* [`constraints_list`](@ref constraints_list(::AbstractHyperrectangle{N}) where {N})
+* [`constraints_list`](@ref constraints_list(::AbstractHyperrectangle))
 * [`extrema`](@ref extrema(::AbstractHyperrectangle))
 * [`extrema`](@ref extrema(::AbstractHyperrectangle, ::Int))
 * [`generators`](@ref generators(::AbstractHyperrectangle))

docs/src/lib/sets/Singleton.md

@@ -120,18 +120,18 @@ Inherited from [`AbstractSingleton`](@ref):
 * [`center`](@ref center(::AbstractSingleton))
 * [`center`](@ref center(::AbstractSingleton, ::Int))
 * [`constraints_list`](@ref constraints_list(::AbstractSingleton))
-* [`generators`](@ref generators(::AbstractSingleton{N}) where {N})
-* [`genmat`](@ref genmat(::AbstractSingleton{N}) where {N})
+* [`generators`](@ref generators(::AbstractSingleton))
+* [`genmat`](@ref genmat(::AbstractSingleton))
 * [`high`](@ref high(::AbstractSingleton))
 * [`high`](@ref high(::AbstractSingleton, ::Int))
 * [`isboundedtype`](@ref isboundedtype(::Type{AbstractSingleton}))
 * [`low`](@ref low(::AbstractSingleton))
 * [`low`](@ref low(::AbstractSingleton, ::Int))
 * [`ngens`](@ref ngens(::AbstractSingleton))
-* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton{N}) where {N})
-* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton{N}, ::Int) where {N})
+* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton))
+* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton, ::Int))
 * [`reflect`](@ref reflect(::AbstractSingleton))
-* [`vertices`](@ref vertices(::AbstractSingleton{N}) where {N})
+* [`vertices`](@ref vertices(::AbstractSingleton))
 * [`vertices_list`](@ref vertices_list(::AbstractSingleton))
 * [`∈`](@ref ∈(::AbstractVector, ::AbstractSingleton))
 * [`ρ`](@ref σ(::AbstractVector, ::AbstractSingleton))

docs/src/lib/sets/Universe.md

@@ -20,7 +20,7 @@ an_element(::LazySet)
 CurrentModule = LazySets.UniverseModule
 ```
 ```@docs
-an_element(::Universe{N}) where {N}
+an_element(::Universe)
 constrained_dimensions(::Universe)
 ```
 ```@meta

docs/src/lib/sets/VPolygon.md

@@ -52,7 +52,7 @@ Inherited from [`LazySet`](@ref):
 Inherited from [`AbstractPolytope`](@ref):
 * [`isbounded`](@ref isbounded(::AbstractPolytope))
 * [`isempty`](@ref isempty(::AbstractPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 
 Inherited from [`AbstractPolygon`](@ref):
 * [`dim`](@ref dim(::AbstractPolygon))

docs/src/lib/sets/VPolytope.md

@@ -55,5 +55,5 @@ Inherited from [`AbstractPolyhedron`](@ref):
 Inherited from [`AbstractPolytope`](@ref):
 * [`isbounded`](@ref isbounded(::AbstractPolytope))
 * [`isempty`](@ref isempty(::AbstractPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 * [`volume`](@ref volume(::AbstractPolytope))

docs/src/lib/sets/ZeroSet.md

@@ -11,8 +11,8 @@ ZeroSet
 ## Operations
 
 ```@docs
-element(::ZeroSet{N}) where {N}
-element(::ZeroSet{N}, ::Int) where {N}
+element(::ZeroSet)
+element(::ZeroSet, ::Int)
 ```
 ```@meta
 CurrentModule = LazySets.API
@@ -99,17 +99,17 @@ Inherited from [`AbstractSingleton`](@ref):
 * [`center`](@ref center(::AbstractSingleton))
 * [`center`](@ref center(::AbstractSingleton, ::Int))
 * [`constraints_list`](@ref constraints_list(::AbstractSingleton))
-* [`generators`](@ref generators(::AbstractSingleton{N}) where {N})
-* [`genmat`](@ref genmat(::AbstractSingleton{N}) where {N})
+* [`generators`](@ref generators(::AbstractSingleton))
+* [`genmat`](@ref genmat(::AbstractSingleton))
 * [`high`](@ref high(::AbstractSingleton))
 * [`high`](@ref high(::AbstractSingleton, ::Int))
 * [`isconvextype`](@ref isconvextype(::Type{AbstractSingleton}))
 * [`low`](@ref low(::AbstractSingleton))
 * [`low`](@ref low(::AbstractSingleton, ::Int))
 * [`ngens`](@ref ngens(::AbstractSingleton))
-* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton{N}) where {N})
-* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton{N}, ::Int) where {N})
-* [`vertices`](@ref vertices(::AbstractSingleton{N}) where {N})
+* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton))
+* [`radius_hyperrectangle`](@ref radius_hyperrectangle(::AbstractSingleton, ::Int))
+* [`vertices`](@ref vertices(::AbstractSingleton))
 * [`vertices`](@ref vertices(::AbstractSingleton))
 * [`vertices_list`](@ref vertices_list(::AbstractSingleton))
 * [`σ`](@ref σ(::AbstractVector, ::AbstractSingleton))

docs/src/lib/sets/Zonotope.md

@@ -47,7 +47,7 @@ Inherited from [`LazySet`](@ref):
 
 Inherited from [`AbstractPolytope`](@ref):
 * [`isbounded`](@ref isbounded(::AbstractPolytope))
-* [`isuniversal`](@ref isuniversal(::AbstractPolytope{N}, ::Bool=false) where {N})
+* [`isuniversal`](@ref isuniversal(::AbstractPolytope, ::Bool=false))
 * [`volume`](@ref volume(::AbstractPolytope))
 
 Inherited from [`AbstractCentrallySymmetricPolytope`](@ref):

src/Interfaces/AbstractCentrallySymmetric.jl

@@ -99,8 +99,7 @@ function isempty(::AbstractCentrallySymmetric)
 end
 
 """
-    isuniversal(S::AbstractCentrallySymmetric{N},
-                [witness]::Bool=false) where {N}
+    isuniversal(S::AbstractCentrallySymmetric, [witness]::Bool=false)
 
 Check whether a centrally symmetric set is universal.
 
@@ -120,9 +119,9 @@ Centrally symmetric sets are bounded.
 A witness is obtained by computing the support vector in direction
 `d = [1, 0, …, 0]` and adding `d` on top.
 """
-function isuniversal(S::AbstractCentrallySymmetric{N},
-                     witness::Bool=false) where {N}
+function isuniversal(S::AbstractCentrallySymmetric, witness::Bool=false)
     if witness
+        N = eltype(S)
         d = SingleEntryVector{N}(1, dim(S))
         w = σ(d, S) + d
         return (false, w)

src/Interfaces/AbstractHyperrectangle.jl

@@ -283,7 +283,7 @@ function vertices_list(H::AbstractHyperrectangle; kwargs...)
 end
 
 """
-    constraints_list(H::AbstractHyperrectangle{N}) where {N}
+    constraints_list(H::AbstractHyperrectangle)
 
 Return the list of constraints of a hyperrectangular set.
 
@@ -295,7 +295,7 @@ Return the list of constraints of a hyperrectangular set.
 
 A list of ``2n`` linear constraints, where ``n`` is the dimension of `H`.
 """
-function constraints_list(H::AbstractHyperrectangle{N}) where {N}
+function constraints_list(H::AbstractHyperrectangle)
     return _constraints_list_hyperrectangle(H)
 end
 

src/Interfaces/AbstractPolytope.jl

@@ -76,7 +76,7 @@ function isempty(P::AbstractPolytope)
 end
 
 """
-    isuniversal(P::AbstractPolytope{N}, [witness]::Bool=false) where {N}
+    isuniversal(P::AbstractPolytope, [witness]::Bool=false)
 
 Check whether a polytopic set is universal.
 
@@ -96,10 +96,11 @@ Check whether a polytopic set is universal.
 A witness is produced using `isuniversal(H)` where `H` is the first linear
 constraint of `P`.
 """
-function isuniversal(P::AbstractPolytope{N}, witness::Bool=false) where {N}
+function isuniversal(P::AbstractPolytope, witness::Bool=false)
     if witness
         constraints = constraints_list(P)
         if isempty(constraints)
+            N = eltype(P)
             return (true, N[])  # special case for polytopes without constraints
         end
         return isuniversal(constraints[1], true)

src/Interfaces/AbstractSingleton.jl

@@ -63,7 +63,7 @@ function element(S::AbstractSingleton, i::Int)
 end
 
 """
-    radius_hyperrectangle(S::AbstractSingleton{N}, i::Int) where {N}
+    radius_hyperrectangle(S::AbstractSingleton, i::Int)
 
 Return the box radius of a set with a single value in a given dimension.
 
@@ -76,13 +76,14 @@ Return the box radius of a set with a single value in a given dimension.
 
 Zero.
 """
-function radius_hyperrectangle(S::AbstractSingleton{N}, i::Int) where {N}
+function radius_hyperrectangle(S::AbstractSingleton, i::Int)
     @boundscheck _check_bounds(S, i)
+    N = eltype(S)
     return zero(N)
 end
 
 """
-    radius_hyperrectangle(S::AbstractSingleton{N}) where {N}
+    radius_hyperrectangle(S::AbstractSingleton)
 
 Return the box radius of a set with a single value in every dimension.
 
@@ -94,7 +95,8 @@ Return the box radius of a set with a single value in every dimension.
 
 The zero vector.
 """
-function radius_hyperrectangle(S::AbstractSingleton{N}) where {N}
+function radius_hyperrectangle(S::AbstractSingleton)
+    N = eltype(S)
     return zeros(N, dim(S))
 end
 
@@ -173,7 +175,7 @@ function low(S::AbstractSingleton, i::Int)
 end
 
 """
-   genmat(S::AbstractSingleton{N}) where {N}
+   genmat(S::AbstractSingleton)
 
 Return the (empty) generator matrix of a set with a single value.
 
@@ -185,12 +187,13 @@ Return the (empty) generator matrix of a set with a single value.
 
 A matrix with no columns representing the generators of `S`.
 """
-function genmat(S::AbstractSingleton{N}) where {N}
+function genmat(S::AbstractSingleton)
+    N = eltype(S)
     return Matrix{N}(undef, dim(S), 0)
 end
 
 """
-    generators(S::AbstractSingleton{N}) where {N}
+    generators(S::AbstractSingleton)
 
 Return an (empty) iterator over the generators of a set with a single value.
 
@@ -202,7 +205,8 @@ Return an (empty) iterator over the generators of a set with a single value.
 
 An empty iterator.
 """
-function generators(S::AbstractSingleton{N}) where {N}
+function generators(S::AbstractSingleton)
+    N = eltype(S)
     return EmptyIterator{Vector{N}}()
 end
 
@@ -260,7 +264,7 @@ function center(S::AbstractSingleton, i::Int)
 end
 
 """
-    vertices(S::AbstractSingleton{N}) where {N}
+    vertices(S::AbstractSingleton)
 
 Construct an iterator over the vertices of a set with a single value.
 
@@ -272,7 +276,7 @@ Construct an iterator over the vertices of a set with a single value.
 
 An iterator with a single value.
 """
-function vertices(S::AbstractSingleton{N}) where {N}
+function vertices(S::AbstractSingleton)
     return SingletonIterator(element(S))
 end