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annotate src/SbpOperators/stencil.jl @ 892:06c510d40ebb feature/variable_derivatives

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Add parse_nested_stencil
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 10 Feb 2022 09:58:36 +0100
parents 0be29e65521e
children 54e36688dab8
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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::Tuple{Int,Int}
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6 weights::NTuple{N,T}
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7
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8 function Stencil(range::Tuple{Int,Int},weights::NTuple{N,T}) where {T, N}
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9 @assert range[2]-range[1]+1 == 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::Vararg{T}; center::Int) where T # Type parameter T makes sure the weights are valid for the Stencil constuctors and throws an earlier, more readable, error
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20 N = length(weights)
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21 range = (1, N) .- center
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23 return Stencil(range, weights)
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24 end
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25
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26 function Stencil{T}(s::Stencil) where T
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27 return Stencil(s.range, T.(s.weights))
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28 end
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30 Base.convert(::Type{Stencil{T}}, stencil) where T = Stencil{T}(stencil)
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31
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32 function CenteredStencil(weights::Vararg{T}) where T
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33 if iseven(length(weights))
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34 throw(ArgumentError("a centered stencil must have an odd number of weights."))
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35 end
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37 r = length(weights) ÷ 2
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39 return Stencil((-r, r), weights)
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40 end
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41
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42
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43 """
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44 scale(s::Stencil, a)
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45
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46 Scale the weights of the stencil `s` with `a` and return a new stencil.
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47 """
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48 function scale(s::Stencil, a)
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49 return Stencil(s.range, a.*s.weights)
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50 end
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51
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52 Base.eltype(::Stencil{T,N}) where {T,N} = T
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53 Base.length(::Stencil{T,N}) where {T,N} = N
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54
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55 function flip(s::Stencil)
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56 range = (-s.range[2], -s.range[1])
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57 return Stencil(range, reverse(s.weights))
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58 end
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59
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60 # Provides index into the Stencil based on offset for the root element
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61 @inline function Base.getindex(s::Stencil, i::Int)
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62 @boundscheck if i < s.range[1] || s.range[2] < i
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63 return zero(eltype(s))
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64 end
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65 return s.weights[1 + i - s.range[1]]
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66 end
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68 Base.@propagate_inbounds @inline function apply_stencil(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
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69 w = s.weights[1]*v[i + s.range[1]]
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70 @simd for k ∈ 2:N
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71 w += s.weights[k]*v[i + s.range[1] + k-1]
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72 end
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73 return w
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74 end
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76 Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
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77 w = s.weights[N]*v[i - s.range[2]]
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78 @simd for k ∈ N-1:-1:1
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79 w += s.weights[k]*v[i - s.range[1] - k + 1]
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80 end
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81 return w
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82 end
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83
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84
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85 struct NestedStencil{T,N,M}
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86 s::Stencil{Stencil{T,N},M}
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87 end
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88
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89 # The exessive use of type parameters for the following constructors are to catch errors earlier with clearer error messages
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90
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91 # Stencil input
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92 NestedStencil(s::Vararg{Stencil{T,N}}; center) where {T,N} = NestedStencil(Stencil(s... ; center))
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93 CenteredNestedStencil(s::Vararg{Stencil{T,N}}) where {T,N} = NestedStencil(CenteredStencil(s...))
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94
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95 # Tuple input
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96 function NestedStencil(weights::Vararg{NTuple{N,T}}; center) where {T,N}
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97 inner_stencils = map(w -> Stencil(w...; center), weights)
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98 return NestedStencil(Stencil(inner_stencils... ; center))
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99 end
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100 function CenteredNestedStencil(weights::Vararg{NTuple{N,T}}) where {T,N}
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101 inner_stencils = map(w->CenteredStencil(w...), weights)
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102 return CenteredNestedStencil(inner_stencils...)
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103 end
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104
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105 Base.eltype(::NestedStencil{T}) where T = T
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106
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107 function flip(ns::NestedStencil)
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108 s_flip = flip(ns.s)
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109 return NestedStencil(Stencil(s_flip.range, flip.(s_flip.weights)))
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110 end
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111
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112 Base.getindex(ns::NestedStencil, i::Int) = ns.s[i]
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113
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114 "Apply inner stencils to `c` and get a concrete stencil"
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115 Base.@propagate_inbounds function apply_inner_stencils(ns::NestedStencil, c::AbstractVector, i::Int)
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116 weights = apply_stencil.(ns.s.weights, Ref(c), i)
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117 return Stencil(ns.s.range, weights)
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118 end
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119
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120 "Apply the whole nested stencil"
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121 Base.@propagate_inbounds function apply_stencil(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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122 s = apply_inner_stencils(ns,c,i)
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123 return apply_stencil(s, v, i)
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124 end
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125
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126 "Apply inner stencils backwards to `c` and get a concrete stencil"
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127 Base.@propagate_inbounds @inline function apply_inner_stencils_backwards(ns::NestedStencil, c::AbstractVector, i::Int)
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128 weights = apply_stencil_backwards.(ns.s.weights, Ref(c), i)
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129 return Stencil(ns.s.range, weights)
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130 end
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131
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132 "Apply the whole nested stencil backwards"
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133 Base.@propagate_inbounds @inline function apply_stencil_backwards(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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134 s = apply_inner_stencils_backwards(ns,c,i)
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135 return apply_stencil_backwards(s, v, i)
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136 end