annotate diffOp.jl @ 174:187295479984 boundary_conditions

Sketch implementation of sat methods for Neumann and Dirichlet
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 12 Jun 2019 15:09:45 +0200
parents fabd475bb258
children bcd2029c590d
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
1 abstract type DiffOp end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
2
95
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
3 # TBD: The "error("not implemented")" thing seems to be hiding good error information. How to fix that? Different way of saying that these should be implemented?
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
4 function apply(D::DiffOp, v::AbstractVector, i::Int)
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
5 error("not implemented")
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
6 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
7
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
8 function innerProduct(D::DiffOp, u::AbstractVector, v::AbstractVector)::Real
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
9 error("not implemented")
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
10 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
11
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
12 function matrixRepresentation(D::DiffOp)
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
13 error("not implemented")
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
14 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
15
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
16 function boundaryCondition(D::DiffOp,b::BoundaryIdentifier,type)::(Closure, Penalty)
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
17 error("not implemented")
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
18 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
19
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
20 function interface(Du::DiffOp, Dv::DiffOp, b::BoundaryIdentifier; type)
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
21 error("not implemented")
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
22 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
23
55
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
24 abstract type Closure end
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
25
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
26 function apply(c::Closure, v::AbstractVector, i::Int)
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
27 error("not implemented")
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
28 end
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
29
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
30 abstract type Penalty end
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
31
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
32 function apply(c::Penalty, g, i::Int)
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
33 error("not implemented")
c62ea0112d4d Add abstract types for Closure and Penalty
Ylva Rydin <ylva.rydin@telia.com>
parents: 54
diff changeset
34 end
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
35
95
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
36 abstract type DiffOpCartesian{Dim} <: DiffOp end
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
37
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
38 # DiffOp must have a grid of dimension Dim!!!
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
39 function apply!(D::DiffOpCartesian{Dim}, u::AbstractArray{T,Dim}, v::AbstractArray{T,Dim}) where {T,Dim}
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
40 for I ∈ eachindex(D.grid)
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
41 u[I] = apply(D, v, I)
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
42 end
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
43
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
44 return nothing
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
45 end
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
46
112
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
47 function apply_region!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
48 apply_region!(D, u, v, Lower, Lower)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
49 apply_region!(D, u, v, Lower, Interior)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
50 apply_region!(D, u, v, Lower, Upper)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
51 apply_region!(D, u, v, Interior, Lower)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
52 apply_region!(D, u, v, Interior, Interior)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
53 apply_region!(D, u, v, Interior, Upper)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
54 apply_region!(D, u, v, Upper, Lower)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
55 apply_region!(D, u, v, Upper, Interior)
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
56 apply_region!(D, u, v, Upper, Upper)
108
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
57 return nothing
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
58 end
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
59
114
d24497780ebd Add comment about maybe splitting apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 113
diff changeset
60 # Maybe this should be split according to b3fbef345810 after all?! Seems like it makes performance more predictable
112
98c788cba9bf Rename the apply! that applies in regions to apply_region!
Jonatan Werpers <jonatan@werpers.com>
parents: 111
diff changeset
61 function apply_region!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}, r1::Type{<:Region}, r2::Type{<:Region}) where T
124
631eb9b35d72 Make grid spacing a property of EquidistantGrid. Create plotting module for sbplib.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 118
diff changeset
62 for I ∈ regionindices(D.grid.size, closureSize(D.op), (r1,r2))
110
ee071b8ed58c Use deafult constructor for Index in apply!
Jonatan Werpers <jonatan@werpers.com>
parents: 109
diff changeset
63 @inbounds indextuple = (Index{r1}(I[1]), Index{r2}(I[2]))
108
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
64 @inbounds u[I] = apply(D, v, indextuple)
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
65 end
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
66 return nothing
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
67 end
d0a28888528a Change input type of apply(::Laplace) to ::DiffOpCartesian
Jonatan Werpers <jonatan@werpers.com>
parents: 107
diff changeset
68
113
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
69 function apply_tiled!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}) where T
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
70 apply_region_tiled!(D, u, v, Lower, Lower)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
71 apply_region_tiled!(D, u, v, Lower, Interior)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
72 apply_region_tiled!(D, u, v, Lower, Upper)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
73 apply_region_tiled!(D, u, v, Interior, Lower)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
74 apply_region_tiled!(D, u, v, Interior, Interior)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
75 apply_region_tiled!(D, u, v, Interior, Upper)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
76 apply_region_tiled!(D, u, v, Upper, Lower)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
77 apply_region_tiled!(D, u, v, Upper, Interior)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
78 apply_region_tiled!(D, u, v, Upper, Upper)
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
79 return nothing
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
80 end
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
81
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
82 using TiledIteration
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
83 function apply_region_tiled!(D::DiffOpCartesian{2}, u::AbstractArray{T,2}, v::AbstractArray{T,2}, r1::Type{<:Region}, r2::Type{<:Region}) where T
124
631eb9b35d72 Make grid spacing a property of EquidistantGrid. Create plotting module for sbplib.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 118
diff changeset
84 ri = regionindices(D.grid.size, closureSize(D.op), (r1,r2))
136
c6aaf061c0a9 Fix incorrect indexing of solution vector in apply_region_tiled
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 129
diff changeset
85 # TODO: Pass Tilesize to function
c6aaf061c0a9 Fix incorrect indexing of solution vector in apply_region_tiled
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 129
diff changeset
86 for tileaxs ∈ TileIterator(axes(ri), padded_tilesize(T, (5,5), 2))
117
ff7f377433b4 Change loop order to follow memory layout
Jonatan Werpers <jonatan@werpers.com>
parents: 114
diff changeset
87 for j ∈ tileaxs[2], i ∈ tileaxs[1]
113
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
88 I = ri[i,j]
136
c6aaf061c0a9 Fix incorrect indexing of solution vector in apply_region_tiled
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 129
diff changeset
89 u[I] = apply(D, v, (Index{r1}(I[1]), Index{r2}(I[2])))
113
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
90 end
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
91 end
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
92 return nothing
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
93 end
3b89aa6dc7f2 Add apply_tiled! that tiles the iteration to optimize cache usage. Doesn't improve runtime at all at the moment
Jonatan Werpers <jonatan@werpers.com>
parents: 112
diff changeset
94
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
95 function apply(D::DiffOp, v::AbstractVector)::AbstractVector
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
96 u = zeros(eltype(v), size(v))
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
97 apply!(D,v,u)
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
98 return u
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
99 end
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
100
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
101 struct NormalDerivative{N,M,K}
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
102 op::D2{Float64,N,M,K}
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
103 grid::EquidistantGrid
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
104 bId::CartesianBoundary
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
105 end
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
106
169
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
107 function apply_transpose(d::NormalDerivative, v::AbstractArray, I::Integer)
172
a8bc71608588 Fix bug in dimension selection in apply_tanspose of boundary operators
Jonatan Werpers <jonatan@werpers.com>
parents: 171
diff changeset
108 u = selectdim(v,3-dim(d.bId),I)
171
d407611ed71a Add BondaryValue operator
Jonatan Werpers <jonatan@werpers.com>
parents: 169
diff changeset
109 return apply_d(d.op, d.grid.inverse_spacing[dim(d.bId)], u, region(d.bId))
169
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
110 end
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
111
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
112 # Not correct abstraction level
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
113 # TODO: Not type stable D:<
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
114 function apply(d::NormalDerivative, v::AbstractArray, I::Tuple{Integer,Integer})
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
115 i = I[dim(d.bId)]
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
116 j = I[3-dim(d.bId)]
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
117 N_i = d.grid.size[dim(d.bId)]
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
118
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
119 r = getregion(i, closureSize(d.op), N_i)
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
120
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
121 if r != region(d.bId)
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
122 return 0
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
123 end
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
124
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
125 if r == Lower
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
126 # Note, closures are indexed by offset. Fix this D:<
171
d407611ed71a Add BondaryValue operator
Jonatan Werpers <jonatan@werpers.com>
parents: 169
diff changeset
127 return d.grid.inverse_spacing[dim(d.bId)]*d.op.dClosure[i-1]*v[j]
169
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
128 elseif r == Upper
171
d407611ed71a Add BondaryValue operator
Jonatan Werpers <jonatan@werpers.com>
parents: 169
diff changeset
129 return d.grid.inverse_spacing[dim(d.bId)]*d.op.dClosure[N_i-j]*v[j]
169
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
130 end
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
131 end
24ee4def7ffb Move NormalDerivative methods to type definition
Jonatan Werpers <jonatan@werpers.com>
parents: 168
diff changeset
132
173
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
133 struct BoundaryValue{N,M,K}
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
134 op::D2{Float64,N,M,K}
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
135 grid::EquidistantGrid
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
136 bId::CartesianBoundary
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
137 end
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
138
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
139 function apply(e::BoundaryValue, v::AbstractArray, I::Tuple{Integer,Integer})
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
140 i = I[dim(e.bId)]
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
141 j = I[3-dim(e.bId)]
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
142 N_i = e.grid.size[dim(e.bId)]
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
143
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
144 r = getregion(i, closureSize(e.op), N_i)
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
145
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
146 if r != region(e.bId)
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
147 return 0
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
148 end
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
149
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
150 if r == Lower
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
151 # Note, closures are indexed by offset. Fix this D:<
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
152 return e.op.eClosure[i-1]*v[j]
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
153 elseif r == Upper
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
154 return e.op.eClosure[N_i-j]*v[j]
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
155 end
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
156 end
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
157
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
158 function apply_transpose(e::BoundaryValue, v::AbstractArray, I::Integer)
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
159 u = selectdim(v,3-dim(e.bId),I)
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
160 return apply_e(e.op, u, region(e.bId))
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
161 end
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
162
95
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
163 struct Laplace{Dim,T<:Real,N,M,K} <: DiffOpCartesian{Dim}
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
164 grid::EquidistantGrid{Dim,T}
76
81d9510cb2d0 Make Laplace take dimension as a parameter
Jonatan Werpers <jonatan@werpers.com>
parents: 73
diff changeset
165 a::T
84
48079bd39969 Change to using tuples in stencils and ops
Jonatan Werpers <jonatan@werpers.com>
parents: 76
diff changeset
166 op::D2{Float64,N,M,K}
173
fabd475bb258 Move definition of BoundaryValue before definition of Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 172
diff changeset
167 e::BoundaryValue
154
3193bac1c086 More sketching of how things might work
Jonatan Werpers <jonatan@werpers.com>
parents: 153
diff changeset
168 d::NormalDerivative
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
169 end
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
170
95
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
171 function apply(L::Laplace{Dim}, v::AbstractArray{T,Dim} where T, I::CartesianIndex{Dim}) where Dim
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
172 error("not implemented")
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
173 end
9d53ecca34f7 Switch to using cartesian indicies
Jonatan Werpers <jonatan@werpers.com>
parents: 85
diff changeset
174
6
cb8e50ca9e15 Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 2
diff changeset
175 # u = L*v
65
7054230b639c Make dimension a type parameter in Laplace
Jonatan Werpers <jonatan@werpers.com>
parents: 57
diff changeset
176 function apply(L::Laplace{1}, v::AbstractVector, i::Int)
124
631eb9b35d72 Make grid spacing a property of EquidistantGrid. Create plotting module for sbplib.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 118
diff changeset
177 uᵢ = L.a * apply(L.op, L.grid.spacing[1], v, i)
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
178 return uᵢ
2
43be32298ae2 Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
179 end
49
947f7579ba9c Add Laplace2d
Jonatan Werpers <jonatan@werpers.com>
parents: 48
diff changeset
180
129
1aaeb46ba5f4 Improve efficiency of apply by the following:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 124
diff changeset
181 @inline function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, I::Tuple{Index{R1}, Index{R2}}) where {R1, R2}
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
182 # 2nd x-derivative
118
4c0c02a80cd4 Change uview to view. It seems the compiler is now able to remove the allocation
Jonatan Werpers <jonatan@werpers.com>
parents: 117
diff changeset
183 @inbounds vx = view(v, :, Int(I[2]))
129
1aaeb46ba5f4 Improve efficiency of apply by the following:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 124
diff changeset
184 @inbounds uᵢ = L.a*apply(L.op, L.grid.inverse_spacing[1], vx , I[1])
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
185 # 2nd y-derivative
118
4c0c02a80cd4 Change uview to view. It seems the compiler is now able to remove the allocation
Jonatan Werpers <jonatan@werpers.com>
parents: 117
diff changeset
186 @inbounds vy = view(v, Int(I[1]), :)
129
1aaeb46ba5f4 Improve efficiency of apply by the following:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 124
diff changeset
187 @inbounds uᵢ += L.a*apply(L.op, L.grid.inverse_spacing[2], vy, I[2])
56
27a8d3021a1c Convert apply functions to cell-based
Ylva Rydin <ylva.rydin@telia.com>
parents: 55
diff changeset
188 return uᵢ
49
947f7579ba9c Add Laplace2d
Jonatan Werpers <jonatan@werpers.com>
parents: 48
diff changeset
189 end
99
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
190
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
191 # Slow but maybe convenient?
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
192 function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, i::CartesianIndex{2})
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
193 I = Index{Unknown}.(Tuple(i))
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
194 apply(L, v, I)
6b6d680f2e25 Allow apply(::Laplace) to take Index types
Jonatan Werpers <jonatan@werpers.com>
parents: 95
diff changeset
195 end
135
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
196
154
3193bac1c086 More sketching of how things might work
Jonatan Werpers <jonatan@werpers.com>
parents: 153
diff changeset
197 struct BoundaryOperator
3193bac1c086 More sketching of how things might work
Jonatan Werpers <jonatan@werpers.com>
parents: 153
diff changeset
198
3193bac1c086 More sketching of how things might work
Jonatan Werpers <jonatan@werpers.com>
parents: 153
diff changeset
199 end
3193bac1c086 More sketching of how things might work
Jonatan Werpers <jonatan@werpers.com>
parents: 153
diff changeset
200
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
201
135
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
202 """
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
203 A BoundaryCondition should implement the method
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
204 sat(::DiffOp, v::AbstractArray, data::AbstractArray, ...)
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
205 """
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
206 abstract type BoundaryCondition end
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
207
174
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
208 struct Neumann{Bid<:BoundaryIdentifier} <: BoundaryCondition end
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
209
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
210 function sat(L::Laplace{2,T}, bc::Neumann{Bid}, v::AbstractArray{T,2}, g::AbstractVector{T}, I::CartesianIndex{2}) where {T,Bid}
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
211 e = BoundaryValue(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
212 d = NormalDerivative(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
213 Hᵧ = BoundaryQuadrature(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
214 # TODO: Implement BoundaryQuadrature method
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
215
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
216 return -L.Hi*e*Hᵧ*(d'*v - g)
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
217 # Need to handle d'*v - g so that it is an AbstractArray that TensorMappings can act on
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
218 end
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
219
145
e0c8f5cf3a3f Rename boundary indentifiers and use them inte the sat functions
Jonatan Werpers <jonatan@werpers.com>
parents: 143
diff changeset
220 struct Dirichlet{Bid<:BoundaryIdentifier} <: BoundaryCondition
135
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
221 tau::Float64
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
222 end
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
223
174
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
224 function sat(L::Laplace{2,T}, bc::Dirichlet{Bid}, v::AbstractArray{T,2}, g::AbstractVector{T}, i::CartesianIndex{2}) where {T,Bid}
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
225 e = BoundaryValue(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
226 d = NormalDerivative(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
227 Hᵧ = BoundaryQuadrature(L.op, L.grid, Bid())
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
228 # TODO: Implement BoundaryQuadrature method
145
e0c8f5cf3a3f Rename boundary indentifiers and use them inte the sat functions
Jonatan Werpers <jonatan@werpers.com>
parents: 143
diff changeset
229
174
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
230 return -L.Hi*(tau/h*e + d)*Hᵧ*(e'*v - g)
187295479984 Sketch implementation of sat methods for Neumann and Dirichlet
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
231 # Need to handle scalar multiplication and addition of TensorMapping
135
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
232 end
bb1cc9c7877c Add outline of idea for implemenation of sats
Jonatan Werpers <jonatan@werpers.com>
parents: 129
diff changeset
233
168
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
234 # function apply(s::MyWaveEq{D}, v::AbstractArray{T,D}, i::CartesianIndex{D}) where D
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
235 # return apply(s.L, v, i) +
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
236 # sat(s.L, Dirichlet{CartesianBoundary{1,Lower}}(s.tau), v, s.g_w, i) +
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
237 # sat(s.L, Dirichlet{CartesianBoundary{1,Upper}}(s.tau), v, s.g_e, i) +
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
238 # sat(s.L, Dirichlet{CartesianBoundary{2,Lower}}(s.tau), v, s.g_s, i) +
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
239 # sat(s.L, Dirichlet{CartesianBoundary{2,Upper}}(s.tau), v, s.g_n, i)
45840a8127d6 Fix typos and add NormalDerivative
Jonatan Werpers <jonatan@werpers.com>
parents: 166
diff changeset
240 # end