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annotate src/Grids/parameter_space.jl @ 1906:447ea06bfa07 feature/grids/parameter_spaces

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Make promoting constructor for Interval an outer constructor
author Jonatan Werpers <jonatan@werpers.com>
date Sat, 01 Feb 2025 22:48:13 +0100
parents 238ef43fe92a
children 09c4fda8779d
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1 """
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2 ParameterSpace{D}
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3
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4 A space of parameters of dimension `D`.
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5
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6 Common parameter spaces are created using functions for unit sized spaces
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7 * [`unitinterval`](@ref)
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8 * [`unitsquare`](@ref)
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9 * [`unitcube`](@ref)
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10 * [`unithyperbox`](@ref)
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11 * [`unittriangle`](@ref)
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12 * [`unittetrahedron`](@ref)
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13 * [`unitsimplex`](@ref)
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14
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15 See also: [`Interval`](@ref), [`Rectangle`](@ref), [`Box`](@ref),
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16 [`Triangle`](@ref), [`Tetrahedron`](@ref), [`HyperBox`](@ref),
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17 [`Simplex`](@ref),
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18 """
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19 abstract type ParameterSpace{D} end
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20 Base.ndims(::ParameterSpace{D}) where D = D
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21
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22 """
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23 Interval{T} <: ParameterSpace{1}
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24
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25 A `ParameterSpace` representing an interval.
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26 """
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27 struct Interval{T} <: ParameterSpace{1}
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28 a::T
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29 b::T
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30 end
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31
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32 """
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33 Interval(a,b)
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34
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35 An interval with limits `a` and `b`.
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36 """
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37 function Interval(a,b)
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38 a, b = promote(a, b)
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39 Interval{typeof(a)}(a,b)
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40 end
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42 """
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43 limits(i::Interval)
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44
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45 The limits of the interval.
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46 """
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47 limits(i::Interval) = (i.a, i.b)
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49 """
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50 unitinterval(T=Float64)
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51
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52 The interval ``(0,1)``.
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53 """
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54 unitinterval(T=Float64) = Interval(zero(T), one(T))
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55
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57 """
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58 HyperBox{T,D} <: ParameterSpace{D}
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59
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60 A `ParameterSpace` representing a hyper box.
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61 """
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62 struct HyperBox{T,D} <: ParameterSpace{D}
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63 a::SVector{D,T}
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64 b::SVector{D,T}
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65 end
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66
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67 """
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68 HyperBox(a,b)
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69
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70 A `HyperBox` with lower limits `a` and upper limits `b` for each dimension.
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71 """
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72 function HyperBox(a,b)
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73 ET = promote_type(eltype(a),eltype(b))
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74 T = SVector{length(a),ET}
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75 HyperBox(convert(T,a), convert(T,b))
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76 end
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77
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78 Rectangle{T} = HyperBox{T,2}
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79 Box{T} = HyperBox{T,3}
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80
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81 """
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82 limits(box::HyperBox, d)
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83
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84 Limits of `box` along dimension `d`.
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85 """
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86 limits(box::HyperBox, d) = (box.a[d], box.b[d])
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87
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88 """
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89 limits(box::HyperBox)
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90
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91 The lower and upper limits of `box` as tuples.
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92 """
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93 limits(box::HyperBox) = (box.a, box.b)
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94
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95 """
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96 unitsquare(T=Float64)
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97
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98 The square starting at ``(0,0)`` with side length 1.
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99 """
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100 unitsquare(T=Float64) = unithyperbox(T,2)
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101
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102 """
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103 unitcube(T=Float64)
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104
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105 The cube starting at ``(0,0,0)`` with side length 1.
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106 """
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107 unitcube(T=Float64) = unithyperbox(T,3)
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108
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109 """
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110 unithyperbox(T=Float64, D)
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111
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112 The hypercube in dimension `D` starting at ``(0,0,0,...)`` with side length 1.
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113 """
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114 unithyperbox(T, D) = HyperBox((@SVector zeros(T,D)), (@SVector ones(T,D)))
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115 unithyperbox(D) = unithyperbox(Float64,D)
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116
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118 """
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119 Simplex{T,D,NV} <: ParameterSpace{D}
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120
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121 A `ParameterSpace` representing a simplex.
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122 """
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123 struct Simplex{T,D,NV} <: ParameterSpace{D}
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124 verticies::NTuple{NV,SVector{D,T}}
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125
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126 Simplex(verticies::Tuple{SVector{D,T}, Vararg{SVector{D,T},N}}) where {T,D,N} = new{T,D,N+1}(verticies)
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127 Simplex(::Tuple{}) = throw(ArgumentError("Must provide at least one vertex."))
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128 end
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129
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130 """
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131 Simplex(verticies...)
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132
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133 A simplex with the given vierticies.
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134 """
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135 function Simplex(verticies::Vararg{AbstractArray})
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136 ET = mapreduce(eltype,promote_type,verticies)
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137 T = SVector{length(verticies[1]),ET}
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138
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139 return Simplex(Tuple(convert(T,v) for v ∈ verticies))
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140 end
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141
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142 """
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143 verticies(s::Simplex)
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144
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145 Verticies of `s`.
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146 """
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147 verticies(s::Simplex) = s.verticies
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148
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149 Triangle{T} = Simplex{T,2}
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150 Tetrahedron{T} = Simplex{T,3}
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151
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152 """
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153 unittriangle(T=Float64)
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154
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155 The simplex with verticies ``(0,0)``, ``(1,0)``, and ``(0,1).
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156 """
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157 unittriangle(T=Float64) = unitsimplex(T,2)
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158
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159 """
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160 unittetrahedron(T=Float64)
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161
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162 The simplex with verticies ``(0,0,0)``, ``(1,0,0)``, ``(0,1,0)``, and ``(0,0,1)``.
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163 """
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164 unittetrahedron(T=Float64) = unitsimplex(T,3)
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165
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166 """
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167 unitsimplex(T=Float64,D)
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168
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169 The unit simplex in dimension ``D`` with verticies ``(0,0,0,...)``, ``(1,0,0,...)``, ``(0,1,0,...)``, ``(0,0,1,...)``...
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170 """
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171 function unitsimplex(T,D)
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172 z = @SVector zeros(T,D)
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173 unitelement = one(eltype(z))
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174 verticies = ntuple(i->setindex(z, unitelement, i), D)
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175 return Simplex((z,verticies...))
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176 end
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177 unitsimplex(D) = unitsimplex(Float64, D)