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annotate src/SbpOperators/stencil.jl @ 1055:df498ce0cf52 feature/nested_stencils

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Add methods for CenteredNestedStencil with tuple input (grafted from 011d3ff65e9f9751507863ec9879c4789f8409dc)
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 20 Jan 2022 14:03:16 +0100
parents cb0a5f41be02
children f74189c954d6
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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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22
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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)
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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}) where T = T
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53
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54 function flip(s::Stencil)
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55 range = (-s.range[2], -s.range[1])
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56 return Stencil(range, reverse(s.weights))
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57 end
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58
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59 # Provides index into the Stencil based on offset for the root element
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60 @inline function Base.getindex(s::Stencil, i::Int)
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61 @boundscheck if i < s.range[1] || s.range[2] < i
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62 return zero(eltype(s))
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63 end
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64 return s.weights[1 + i - s.range[1]]
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65 end
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67 Base.@propagate_inbounds @inline function apply_stencil(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
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68 w = s.weights[1]*v[i + s.range[1]]
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69 @simd for k ∈ 2:N
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70 w += s.weights[k]*v[i + s.range[1] + k-1]
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71 end
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72 return w
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73 end
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75 Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
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76 w = s.weights[N]*v[i - s.range[2]]
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77 @simd for k ∈ N-1:-1:1
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78 w += s.weights[k]*v[i - s.range[1] - k + 1]
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79 end
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80 return w
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81 end
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82
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83
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84 struct NestedStencil{T,N}
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85 s::Stencil{Stencil{T,N},N}
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86 end
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87
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88 # Stencil input
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89 NestedStencil(s::Vararg{Stencil}; center) = NestedStencil(Stencil(s... ; center))
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90 CenteredNestedStencil(s::Vararg{Stencil}) = NestedStencil(CenteredStencil(s...))
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91
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92 # Tuple input
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93 function NestedStencil(weights::Vararg{Tuple}; center)
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94 inner_stencils = map(w -> Stencil(w...; center), weights)
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95 return NestedStencil(Stencil(inner_stencils... ; center))
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96 end
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97 function CenteredNestedStencil(weights::Vararg{Tuple})
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98 inner_stencils = map(w->CenteredStencil(w...), weights)
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99 return CenteredNestedStencil(inner_stencils...)
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100 end
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101
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102 Base.eltype(::NestedStencil{T}) where T = T
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103
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104 function flip(ns::NestedStencil)
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105 s_flip = flip(ns.s)
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106 return NestedStencil(Stencil(s_flip.range, flip.(s_flip.weights)))
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107 end
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108
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109 Base.getindex(ns::NestedStencil, i::Int) = ns.s[i]
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110
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111 "Apply inner stencils to `c` and get a concrete stencil"
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112 Base.@propagate_inbounds function apply_inner_stencils(ns::NestedStencil, c::AbstractVector, i::Int)
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113 weights = apply_stencil.(ns.s.weights, Ref(c), i)
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114 return Stencil(ns.s.range, weights)
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115 end
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116
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117 "Apply the whole nested stencil"
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118 Base.@propagate_inbounds function apply_stencil(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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119 s = apply_inner_stencils(ns,c,i)
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120 return apply_stencil(s, v, i)
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121 end
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122
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123 "Apply inner stencils backwards to `c` and get a concrete stencil"
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124 Base.@propagate_inbounds @inline function apply_inner_stencils_backwards(ns::NestedStencil, c::AbstractVector, i::Int)
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125 weights = apply_stencil_backwards.(ns.s.weights, Ref(c), i)
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126 return Stencil(ns.s.range, weights)
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127 end
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128
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129 "Apply the whole nested stencil backwards"
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130 Base.@propagate_inbounds @inline function apply_stencil_backwards(ns::NestedStencil, c::AbstractVector, v::AbstractVector, i::Int)
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131 s = apply_inner_stencils_backwards(ns,c,i)
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132 return apply_stencil_backwards(s, v, i)
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133 end