Mercurial > repos > public > sbplib_julia

annotate src/SbpOperators/volumeops/derivatives/second_derivative_variable.jl @ 932:863287577ad4 feature/variable_derivatives

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Temporarily add specialized methods for 2D
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 22 Feb 2022 07:24:22 +0100
parents 720b1358e06d
children 025a506ca2fa
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 export SecondDerivativeVariable
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2
916
fc1f03fc8d65 Remove comments
Jonatan Werpers <jonatan@werpers.com>
parents: 913
diff changeset
3 # REVIEW: Fixa docs
fc1f03fc8d65 Remove comments
Jonatan Werpers <jonatan@werpers.com>
parents: 913
diff changeset
4 """
fc1f03fc8d65 Remove comments
Jonatan Werpers <jonatan@werpers.com>
parents: 913
diff changeset
5 SecondDerivativeVariable{Dir,T,D,...} <: TensorMapping{T,D,D}
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6
916
fc1f03fc8d65 Remove comments
Jonatan Werpers <jonatan@werpers.com>
parents: 913
diff changeset
7 A second derivative operator in direction `Dir` with a variable coefficient.
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8 """
906
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
9 struct SecondDerivativeVariable{Dir,T,D,M,IStencil<:NestedStencil{T},CStencil<:NestedStencil{T},TArray<:AbstractArray} <: TensorMapping{T,D,D}
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
10 inner_stencil::IStencil
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
11 closure_stencils::NTuple{M,CStencil}
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
12 size::NTuple{D,Int}
882
9098fc936776 Add the coefficient as a part of the struct. Wrap tests in testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 881
diff changeset
13 coefficient::TArray
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
14
906
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
15 function SecondDerivativeVariable{Dir, D}(inner_stencil::NestedStencil{T}, closure_stencils::NTuple{M,NestedStencil{T}}, size::NTuple{D,Int}, coefficient::AbstractArray) where {Dir,T,D,M}
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
16 IStencil = typeof(inner_stencil)
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
17 CStencil = eltype(closure_stencils)
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
18 TArray = typeof(coefficient)
33c7e266e1a9 Add fix for type instability in SecondDerivativeVariable along with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 901
diff changeset
19 return new{Dir,T,D,M,IStencil,CStencil,TArray}(inner_stencil,closure_stencils,size, coefficient)
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
20 end
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
21 end
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
22
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
23 function SecondDerivativeVariable(grid::EquidistantGrid, coeff::AbstractArray, inner_stencil, closure_stencils, dir)
901
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
24 Δxᵢ = spacing(grid)[dir]
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
25 scaled_inner_stencil = scale(inner_stencil, 1/Δxᵢ^2)
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
26 scaled_closure_stencils = scale.(Tuple(closure_stencils), 1/Δxᵢ^2)
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
27 return SecondDerivativeVariable{dir, dimension(grid)}(scaled_inner_stencil, scaled_closure_stencils, size(grid), coeff)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
28 end
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29
882
9098fc936776 Add the coefficient as a part of the struct. Wrap tests in testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 881
diff changeset
30 function SecondDerivativeVariable(grid::EquidistantGrid{1}, coeff::AbstractVector, inner_stencil, closure_stencils)
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
31 return SecondDerivativeVariable(grid, coeff, inner_stencil, closure_stencils, 1)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
32 end
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
33
917
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
34 @doc raw"""
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
35 SecondDerivativeVariable(grid::EquidistantGrid, coeff::AbstractArray, stencil_set, dir)
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
36
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
37 Create a `TensorMapping` for the second derivative with a variable coefficient
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
38 `coeff` on `grid` from the stencils in `stencil_set`. The direction is
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
39 determined by `dir`.
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
40
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
41 `coeff` is a grid function on `grid`.
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
42
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
43 # Example
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
44 With
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
45 ```
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
46 D = SecondDerivativeVariable(g, c, stencil_set, 2)
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
47 ```
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
48 then `D*u` approximates
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
49 ```math
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
50 \frac{\partial}{\partial y} c(x,y) \frac{\partial u}{\partial y},
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
51 ```
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
52 on ``(0,1)⨯(0,1)`` represented by `g`.
eb054537fc63 More docs
Jonatan Werpers <jonatan@werpers.com>
parents: 916
diff changeset
53 """
901
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
54 function SecondDerivativeVariable(grid::EquidistantGrid, coeff::AbstractArray, stencil_set, dir)
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
55 inner_stencil = parse_nested_stencil(eltype(coeff), stencil_set["D2variable"]["inner_stencil"])
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
56 closure_stencils = parse_nested_stencil.(eltype(coeff), stencil_set["D2variable"]["closure_stencils"])
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
57
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
58 return SecondDerivativeVariable(grid, coeff, inner_stencil, closure_stencils, dir)
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
59 end
5bbc3ea3821b Implement building from stencil set. Add tests for real operators
Jonatan Werpers <jonatan@werpers.com>
parents: 893
diff changeset
60
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
61 derivative_direction(::SecondDerivativeVariable{Dir}) where {Dir} = Dir
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
62
891
f72cc96a58c6 Add some size tests
Jonatan Werpers <jonatan@werpers.com>
parents: 889
diff changeset
63 closure_size(op::SecondDerivativeVariable) = length(op.closure_stencils)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
64
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
65 LazyTensors.range_size(op::SecondDerivativeVariable) = op.size
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
66 LazyTensors.domain_size(op::SecondDerivativeVariable) = op.size
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
67
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
68
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
69 function derivative_view(op, a, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
70 d = derivative_direction(op)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
71
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
72 Iview = Base.setindex(I,:,d)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
73 return @view a[Iview...]
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
74 end
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
75
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
76 function apply_lower(op::SecondDerivativeVariable, v, I...)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
77 ṽ = derivative_view(op, v, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
78 c̃ = derivative_view(op, op.coefficient, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
79
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
80 i = I[derivative_direction(op)]
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
81 return @inbounds apply_stencil(op.closure_stencils[i], c̃, ṽ, i)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
82 end
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
83
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
84 function apply_interior(op::SecondDerivativeVariable, v, I...)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
85 ṽ = derivative_view(op, v, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
86 c̃ = derivative_view(op, op.coefficient, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
87
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
88 i = I[derivative_direction(op)]
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
89 return apply_stencil(op.inner_stencil, c̃, ṽ, i)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
90 end
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
91
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
92 function apply_upper(op::SecondDerivativeVariable, v, I...)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
93 ṽ = derivative_view(op, v, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
94 c̃ = derivative_view(op, op.coefficient, I)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
95
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
96 i = I[derivative_direction(op)]
893
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
97 stencil = op.closure_stencils[op.size[derivative_direction(op)]-i+1]
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
98 return @inbounds apply_stencil_backwards(stencil, c̃, ṽ, i)
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
99 end
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
100
893
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
101 function LazyTensors.apply(op::SecondDerivativeVariable, v::AbstractArray, I::Vararg{Index})
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
102 if I[derivative_direction(op)] isa Index{Lower}
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
103 return apply_lower(op, v, Int.(I)...)
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
104 elseif I[derivative_direction(op)] isa Index{Upper}
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
105 return apply_upper(op, v, Int.(I)...)
931
720b1358e06d More strict apply
Jonatan Werpers <jonatan@werpers.com>
parents: 930
diff changeset
106 elseif I[derivative_direction(op)] isa Index{Interior}
720b1358e06d More strict apply
Jonatan Werpers <jonatan@werpers.com>
parents: 930
diff changeset
107 return apply_interior(op, v, Int.(I)...)
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
108 else
931
720b1358e06d More strict apply
Jonatan Werpers <jonatan@werpers.com>
parents: 930
diff changeset
109 error("Invalid region")
889
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
110 end
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
111 end
069e58fb3829 Refactor as multidimensional operator
Jonatan Werpers <jonatan@werpers.com>
parents: 884
diff changeset
112
893
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
113 function LazyTensors.apply(op::SecondDerivativeVariable, v::AbstractArray, I...)
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
114 dir = derivative_direction(op)
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
115
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
116 i = I[dir]
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
117
422c9f22cf92 Make higher dimensions work
Jonatan Werpers <jonatan@werpers.com>
parents: 891
diff changeset
118 I = map(i->Index(i, Interior), I)
930
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
119 if 0 < i <= closure_size(op)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
120 I = Base.setindex(I, Index(i, Lower), dir)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
121 return LazyTensors.apply(op, v, I...)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
122 elseif closure_size(op) < i <= op.size[dir]-closure_size(op)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
123 I = Base.setindex(I, Index(i, Interior), dir)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
124 return LazyTensors.apply(op, v, I...)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
125 elseif op.size[dir]-closure_size(op) < i <= op.size[dir]
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
126 I = Base.setindex(I, Index(i, Upper), dir)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
127 return LazyTensors.apply(op, v, I...)
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
128 else
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
129 error("Bounds error") # TODO: Make this more standard
ba5f4a0ec879 Fix type stability for 2d operator
Jonatan Werpers <jonatan@werpers.com>
parents: 917
diff changeset
130 end
881
aa4875f9a530 Start implementing the variable second derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
131 end
932
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
132
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
133
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
134 ## 2D Specific implementations to avoid instability
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
135 ## TODO: Should really be solved by fixing the general methods instead
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
136
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
137
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
138 ## x-direction
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
139 function apply_lower(op::SecondDerivativeVariable{1}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
140 ṽ = @view v[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
141 c̃ = @view op.coefficient[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
142
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
143 return @inbounds apply_stencil(op.closure_stencils[i], c̃, ṽ, i)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
144 end
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
145
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
146 function apply_interior(op::SecondDerivativeVariable{1}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
147 ṽ = @view v[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
148 c̃ = @view op.coefficient[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
149
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
150 return @inbounds apply_stencil(op.inner_stencil, c̃, ṽ, i)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
151 end
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
152
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
153 function apply_upper(op::SecondDerivativeVariable{1}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
154 ṽ = @view v[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
155 c̃ = @view op.coefficient[:,j]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
156
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
157 stencil = op.closure_stencils[op.size[derivative_direction(op)]-i+1]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
158 return @inbounds apply_stencil_backwards(stencil, c̃, ṽ, i)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
159 end
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
160
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
161
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
162 ## y-direction
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
163 function apply_lower(op::SecondDerivativeVariable{2}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
164 ṽ = @view v[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
165 c̃ = @view op.coefficient[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
166
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
167 return @inbounds apply_stencil(op.closure_stencils[j], c̃, ṽ, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
168 end
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
169
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
170 function apply_interior(op::SecondDerivativeVariable{2}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
171 ṽ = @view v[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
172 c̃ = @view op.coefficient[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
173
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
174 return @inbounds apply_stencil(op.inner_stencil, c̃, ṽ, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
175 end
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
176
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
177 function apply_upper(op::SecondDerivativeVariable{2}, v, i, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
178 ṽ = @view v[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
179 c̃ = @view op.coefficient[i,:]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
180
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
181 stencil = op.closure_stencils[op.size[derivative_direction(op)]-j+1]
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
182 return @inbounds apply_stencil_backwards(stencil, c̃, ṽ, j)
863287577ad4 Temporarily add specialized methods for 2D
Jonatan Werpers <jonatan@werpers.com>
parents: 931
diff changeset
183 end