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annotate src/SbpOperators/stencil.jl @ 898:cd6d71781137 feature/variable_derivatives

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Add promotion functionality for NestedTuples
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 13 Feb 2022 21:40:23 +0100
parents 737cd68318c7
children 18f63f1a0c44
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1 export CenteredStencil
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2 export CenteredNestedStencil
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3
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4 struct Stencil{T,N}
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5 range::UnitRange
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6 weights::NTuple{N,T}
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7
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8 function Stencil(range::UnitRange,weights::NTuple{N,T}) where {T, N}
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9 @assert length(range) == N
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10 new{T,N}(range,weights)
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11 end
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12 end
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13
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14 """
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15 Stencil(weights::NTuple; center::Int)
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17 Create a stencil with the given weights with element `center` as the center of the stencil.
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18 """
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19 function Stencil(weights...; center::Int)
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20 weights = promote(weights...)
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21 N = length(weights)
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22 range = (1:N) .- center
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24 return Stencil(range, weights)
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25 end
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26
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27 Stencil{T,N}(s::Stencil{S,N}) where {T,S,N} = Stencil(s.range, T.(s.weights))
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28 Stencil{T}(s::Stencil) where T = Stencil{T,length(s)}(s)
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29
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30 Base.convert(::Type{Stencil{T1,N}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s)
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31 Base.convert(::Type{Stencil{T1}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s)
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32
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33 Base.promote_rule(::Type{Stencil{T1,N}}, ::Type{Stencil{T2,N}}) where {T1,T2,N} = Stencil{promote_type(T1,T2),N}
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34
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35 function CenteredStencil(weights...)
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36 if iseven(length(weights))
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37 throw(ArgumentError("a centered stencil must have an odd number of weights."))
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38 end
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40 r = length(weights) ÷ 2
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41
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42 return Stencil(-r:r, weights)
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43 end
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44
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45
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46 """
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47 scale(s::Stencil, a)
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48
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49 Scale the weights of the stencil `s` with `a` and return a new stencil.
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50 """
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51 function scale(s::Stencil, a)
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52 return Stencil(s.range, a.*s.weights)
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53 end
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54
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55 Base.eltype(::Stencil{T,N}) where {T,N} = T
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56 Base.length(::Stencil{T,N}) where {T,N} = N
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57
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58 function flip(s::Stencil)
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59 range = (-s.range[2], -s.range[1])
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60 return Stencil(range, reverse(s.weights))
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61 end
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62
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63 # Provides index into the Stencil based on offset for the root element
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64 @inline function Base.getindex(s::Stencil, i::Int)
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65 @boundscheck if i ∉ s.range
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66 return zero(eltype(s))
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67 end
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68 return s.weights[1 + i - s.range[1]]
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69 end
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71 Base.@propagate_inbounds @inline function apply_stencil(s::Stencil, v::AbstractVector, i::Int)
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72 w = zero(eltype(v))
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73 @simd for k ∈ 1:length(s)
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74 w += s.weights[k]*v[i + s.range[k]]
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75 end
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76
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77 return w
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78 end
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79
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80 Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil, v::AbstractVector, i::Int)
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81 w = zero(eltype(v))
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82 @simd for k ∈ length(s):-1:1
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83 w += s.weights[k]*v[i - s.range[k]]
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84 end
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85 return w
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86 end
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87
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88
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89 struct NestedStencil{T,N,M}
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90 s::Stencil{Stencil{T,N},M}
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91 end
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92
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93 # Stencil input
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94 NestedStencil(s::Vararg{Stencil}; center) = NestedStencil(Stencil(s... ; center))
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95 CenteredNestedStencil(s::Vararg{Stencil}) = NestedStencil(CenteredStencil(s...))
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96
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97 # Tuple input
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98 function NestedStencil(weights::Vararg{NTuple{N,Any}}; center) where N
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99 inner_stencils = map(w -> Stencil(w...; center), weights)
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100 return NestedStencil(Stencil(inner_stencils... ; center))
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101 end
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102 function CenteredNestedStencil(weights::Vararg{NTuple{N,Any}}) where N
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103 inner_stencils = map(w->CenteredStencil(w...), weights)
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104 return CenteredNestedStencil(inner_stencils...)
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105 end
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106
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107
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108 # Conversion
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109 function NestedStencil{T,N,M}(ns::NestedStencil{S,N,M}) where {T,S,N,M}
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110 return NestedStencil(Stencil{Stencil{T}}(ns.s))
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111 end
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112
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113 function NestedStencil{T}(ns::NestedStencil{S,N,M}) where {T,S,N,M}
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114 NestedStencil{T,N,M}(ns)
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115 end
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116
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117 function Base.convert(::Type{NestedStencil{T,N,M}}, s::NestedStencil{S,N,M}) where {T,S,N,M}
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118 return NestedStencil{T,N,M}(s)
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119 end
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120 Base.convert(::Type{NestedStencil{T}}, stencil) where T = NestedStencil{T}(stencil)
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121
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122 function Base.promote_rule(::Type{NestedStencil{T,N,M}}, ::Type{NestedStencil{S,N,M}}) where {T,S,N,M}
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123 return NestedStencil{promote_type(T,S),N,M}
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124 end
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125
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126 Base.eltype(::NestedStencil{T}) where T = T
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127
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128 function scale(ns::NestedStencil, a)
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129 range = ns.s.range
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130 weights = ns.s.weights
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131
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132 return NestedStencil(Stencil(range, scale.(weights,a)))
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133 end
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134
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135 function flip(ns::NestedStencil)
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136 s_flip = flip(ns.s)
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137 return NestedStencil(Stencil(s_flip.range, flip.(s_flip.weights)))
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138 end
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139
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140 Base.getindex(ns::NestedStencil, i::Int) = ns.s[i]
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141
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142 "Apply inner stencils to `c` and get a concrete stencil"
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143 Base.@propagate_inbounds function apply_inner_stencils(ns::NestedStencil, c::AbstractVector, i::Int)
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144 weights = apply_stencil.(ns.s.weights, Ref(c), i)
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145 return Stencil(ns.s.range, weights)
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146 end
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147
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148 "Apply the whole nested stencil"
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149 Base.@propagate_inbounds function apply_stencil(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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150 s = apply_inner_stencils(ns,c,i)
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151 return apply_stencil(s, v, i)
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152 end
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153
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154 "Apply inner stencils backwards to `c` and get a concrete stencil"
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155 Base.@propagate_inbounds @inline function apply_inner_stencils_backwards(ns::NestedStencil, c::AbstractVector, i::Int)
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156 weights = apply_stencil_backwards.(ns.s.weights, Ref(c), i)
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157 return Stencil(ns.s.range, weights)
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158 end
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159
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160 "Apply the whole nested stencil backwards"
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161 Base.@propagate_inbounds @inline function apply_stencil_backwards(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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162 s = apply_inner_stencils_backwards(ns,c,i)
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163 return apply_stencil_backwards(s, v, i)
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164 end