Mercurial > repos > public > sbplib_julia
annotate src/Grids/parameter_space.jl @ 1989:77ff0a2acbe5 feature/grids/parameter_spaces/in
Add Base.in for Interval
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 23 Apr 2025 15:27:42 +0200 |
parents | 449cce897da9 |
children | 8cf1764ba124 |
rev | line source |
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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), [`HyperBox`](@ref), |
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16 [`Simplex`](@ref). |
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17 """ |
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18 abstract type ParameterSpace{D} end |
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19 Base.ndims(::ParameterSpace{D}) where D = D |
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20 |
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21 """ |
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22 Interval{T} <: ParameterSpace{1} |
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23 |
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24 A `ParameterSpace` representing an interval. |
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25 """ |
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26 struct Interval{T} <: ParameterSpace{1} |
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27 a::T |
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28 b::T |
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29 end |
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30 |
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31 """ |
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32 Interval(a,b) |
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33 |
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34 An interval with limits `a` and `b`. |
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35 """ |
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36 function Interval(a,b) |
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37 a, b = promote(a, b) |
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38 Interval{typeof(a)}(a,b) |
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39 end |
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40 |
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41 """ |
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42 limits(i::Interval) |
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43 |
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44 The limits of the interval. |
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45 """ |
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46 limits(i::Interval) = (i.a, i.b) |
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47 |
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48 boundary_identifiers(::Interval) = (LowerBoundary(), UpperBoundary()) |
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49 |
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50 Base.in(x, i::Interval) = i.a <= x <= i.b |
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51 |
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52 """ |
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53 unitinterval(T=Float64) |
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54 |
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55 The interval ``(0,1)``. |
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56 """ |
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57 unitinterval(T=Float64) = Interval(zero(T), one(T)) |
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58 |
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59 |
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60 """ |
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61 HyperBox{T,D} <: ParameterSpace{D} |
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62 |
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63 A `ParameterSpace` representing a hyper box. |
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64 """ |
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65 struct HyperBox{T,D} <: ParameterSpace{D} |
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66 a::SVector{D,T} |
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67 b::SVector{D,T} |
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68 end |
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69 |
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70 """ |
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71 HyperBox(a,b) |
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72 |
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73 A `HyperBox` with lower limits `a` and upper limits `b` for each dimension. |
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74 """ |
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75 function HyperBox(a,b) |
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76 ET = promote_type(eltype(a),eltype(b)) |
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77 T = SVector{length(a),ET} |
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78 HyperBox(convert(T,a), convert(T,b)) |
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79 end |
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80 |
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81 Rectangle{T} = HyperBox{T,2} |
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82 Box{T} = HyperBox{T,3} |
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83 |
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84 """ |
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85 limits(box::HyperBox, d) |
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86 |
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87 Limits of `box` along dimension `d`. |
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88 """ |
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89 limits(box::HyperBox, d) = (box.a[d], box.b[d]) |
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90 |
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91 """ |
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92 limits(box::HyperBox) |
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93 |
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94 The lower and upper limits of `box` as tuples. |
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95 """ |
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96 limits(box::HyperBox) = (box.a, box.b) |
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97 |
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98 function boundary_identifiers(box::HyperBox) |
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99 mapreduce(vcat, 1:ndims(box)) do d |
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100 [ |
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101 CartesianBoundary{d, LowerBoundary}(), |
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102 CartesianBoundary{d, UpperBoundary}(), |
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103 ] |
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104 end |
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105 end |
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106 |
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107 |
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108 """ |
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109 unitsquare(T=Float64) |
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110 |
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111 The square limited by 0 and 1 in each dimension. |
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112 """ |
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113 unitsquare(T=Float64) = unithyperbox(T,2) |
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114 |
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115 """ |
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116 unitcube(T=Float64) |
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117 |
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118 The cube limited by 0 and 1 in each dimension. |
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119 """ |
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120 unitcube(T=Float64) = unithyperbox(T,3) |
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121 |
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122 """ |
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123 unithyperbox(T=Float64, D) |
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124 |
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125 The hypercube limited by 0 and 1 in each dimension. |
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126 """ |
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127 unithyperbox(T, D) = HyperBox((@SVector zeros(T,D)), (@SVector ones(T,D))) |
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128 unithyperbox(D) = unithyperbox(Float64,D) |
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129 |
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130 |
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131 """ |
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132 Simplex{T,D,NV} <: ParameterSpace{D} |
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133 |
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134 A `ParameterSpace` representing a simplex. |
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135 """ |
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136 struct Simplex{T,D,NV} <: ParameterSpace{D} |
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137 verticies::NTuple{NV,SVector{D,T}} |
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138 |
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139 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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140 Simplex(::Tuple{}) = throw(ArgumentError("Must provide at least one vertex.")) |
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141 end |
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142 |
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143 """ |
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144 Simplex(verticies...) |
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145 |
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146 A simplex with the given verticies. |
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147 """ |
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148 function Simplex(verticies::Vararg{AbstractArray}) |
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149 ET = mapreduce(eltype,promote_type,verticies) |
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150 T = SVector{length(verticies[1]),ET} |
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151 |
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152 return Simplex(Tuple(convert(T,v) for v ∈ verticies)) |
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153 end |
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154 |
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155 """ |
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156 verticies(s::Simplex) |
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157 |
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158 Verticies of `s`. |
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159 """ |
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160 verticies(s::Simplex) = s.verticies |
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161 |
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162 Triangle{T} = Simplex{T,2} |
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163 Tetrahedron{T} = Simplex{T,3} |
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164 |
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165 """ |
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166 unittriangle(T=Float64) |
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167 |
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168 The simplex with verticies ``(0,0)``, ``(1,0)``, and ``(0,1)``. |
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169 """ |
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170 unittriangle(T=Float64) = unitsimplex(T,2) |
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171 |
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172 """ |
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173 unittetrahedron(T=Float64) |
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174 |
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175 The simplex with verticies ``(0,0,0)``, ``(1,0,0)``, ``(0,1,0)``, and ``(0,0,1)``. |
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176 """ |
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177 unittetrahedron(T=Float64) = unitsimplex(T,3) |
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178 |
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179 """ |
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180 unitsimplex(T=Float64,D) |
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181 |
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182 The unit simplex in dimension `D` with verticies ``(0,0,0,...)``, ``(1,0,0,...)``, ``(0,1,0,...)``, ``(0,0,1,...)``... |
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183 """ |
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184 function unitsimplex(T,D) |
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185 z = @SVector zeros(T,D) |
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186 unitelement = one(eltype(z)) |
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187 verticies = ntuple(i->setindex(z, unitelement, i), D) |
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188 return Simplex((z,verticies...)) |
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189 end |
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190 unitsimplex(D) = unitsimplex(Float64, D) |