Mercurial > repos > public > sbplib_julia

annotate src/LazyTensors/lazy_tensor_operations.jl @ 1685:4aa0973bffb0 feature/grids/manifolds

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Restrict the argument types of the simplest equidistant_grid to Number to avoid ambiguity
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 21 Aug 2024 19:10:37 +0200
parents df1856b0e2f0
children 164e26a6cf79 8b64df6cadba
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
196
b3c252280a19 Move LazyArray and make LazyTensorMappingApplication and LazyElementwiseOperation subtypes of it
Jonatan Werpers <jonatan@werpers.com>
parents: 195
diff changeset
1 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
2 TensorApplication{T,R,D} <: LazyArray{T,R}
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
4 Struct for lazy application of a LazyTensor. Created using `*`.
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
6 Allows the result of a `LazyTensor` applied to a vector to be treated as an `AbstractArray`.
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
7 With a mapping `m` and a vector `v` the TensorApplication object can be created by `m*v`.
1513
d7bc11053951 Fix spelling mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 1365
diff changeset
8 The actual result will be calculated when indexing into `m*v`.
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
10 struct TensorApplication{T,R,D, TM<:LazyTensor{<:Any,R,D}, AA<:AbstractArray{<:Any,D}} <: LazyArray{T,R}
378
946516954c85 Use concrete types in LazyTensorApplication
Jonatan Werpers <jonatan@werpers.com>
parents: 359
diff changeset
11 t::TM
946516954c85 Use concrete types in LazyTensorApplication
Jonatan Werpers <jonatan@werpers.com>
parents: 359
diff changeset
12 o::AA
942
7829c09f8137 Add promotion calculation of element type for LazyTensorMappingApplication
Jonatan Werpers <jonatan@werpers.com>
parents: 838
diff changeset
13
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
14 function TensorApplication(t::LazyTensor{<:Any,R,D}, o::AbstractArray{<:Any,D}) where {R,D}
1005
becd95ba0fce Add bounds checking for lazy tensor application and clea up tests a bit
Jonatan Werpers <jonatan@werpers.com>
parents: 1002
diff changeset
15 @boundscheck check_domain_size(t, size(o))
977
043d13ef8898 Fix type calculation of LazyTensorMappingApplication element type
Jonatan Werpers <jonatan@werpers.com>
parents: 976
diff changeset
16 I = ntuple(i->1, range_dim(t))
043d13ef8898 Fix type calculation of LazyTensorMappingApplication element type
Jonatan Werpers <jonatan@werpers.com>
parents: 976
diff changeset
17 T = typeof(apply(t,o,I...))
942
7829c09f8137 Add promotion calculation of element type for LazyTensorMappingApplication
Jonatan Werpers <jonatan@werpers.com>
parents: 838
diff changeset
18 return new{T,R,D,typeof(t), typeof(o)}(t,o)
7829c09f8137 Add promotion calculation of element type for LazyTensorMappingApplication
Jonatan Werpers <jonatan@werpers.com>
parents: 838
diff changeset
19 end
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
20 end
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
21
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
22 function Base.getindex(ta::TensorApplication{T,R}, I::Vararg{Any,R}) where {T,R}
1005
becd95ba0fce Add bounds checking for lazy tensor application and clea up tests a bit
Jonatan Werpers <jonatan@werpers.com>
parents: 1002
diff changeset
23 @boundscheck checkbounds(ta, Int.(I)...)
1015
4dd3c2312d9e Fix some @boundscheck @inboudns combos
Jonatan Werpers <jonatan@werpers.com>
parents: 1007
diff changeset
24 return @inbounds apply(ta.t, ta.o, I...)
1005
becd95ba0fce Add bounds checking for lazy tensor application and clea up tests a bit
Jonatan Werpers <jonatan@werpers.com>
parents: 1002
diff changeset
25 end
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
26 Base.@propagate_inbounds Base.getindex(ta::TensorApplication{T,1} where T, I::CartesianIndex{1}) = ta[Tuple(I)...] # Would otherwise be caught in the previous method.
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
27 Base.size(ta::TensorApplication) = range_size(ta.t)
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
28
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29
194
d30d42a11566 Move all Lazy operation into the same module
Jonatan Werpers <jonatan@werpers.com>
parents: 190
diff changeset
30 """
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
31 TensorTranspose{T,R,D} <: LazyTensor{T,D,R}
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
32
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
33 Struct for lazy transpose of a LazyTensor.
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
34
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
35 If a mapping implements the the `apply_transpose` method this allows working with
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
36 the transpose of mapping `m` by using `m'`. `m'` will work as a regular LazyTensor lazily calling
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
37 the appropriate methods of `m`.
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
38 """
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
39 struct TensorTranspose{T,R,D, TM<:LazyTensor{T,R,D}} <: LazyTensor{T,D,R}
438
907b0510699f Change LazyTensorTranspose to have concrete fields
Jonatan Werpers <jonatan@werpers.com>
parents: 436
diff changeset
40 tm::TM
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
41 end
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
42
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
43 # # TBD: Should this be implemented on a type by type basis or through a trait to provide earlier errors?
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
44 # Jonatan 2020-09-25: Is the problem that you can take the transpose of any LazyTensor even if it doesn't implement `apply_transpose`?
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
45 Base.adjoint(tm::LazyTensor) = TensorTranspose(tm)
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
46 Base.adjoint(tmt::TensorTranspose) = tmt.tm
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
47
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
48 apply(tmt::TensorTranspose{T,R,D}, v::AbstractArray{<:Any,R}, I::Vararg{Any,D}) where {T,R,D} = apply_transpose(tmt.tm, v, I...)
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
49 apply_transpose(tmt::TensorTranspose{T,R,D}, v::AbstractArray{<:Any,D}, I::Vararg{Any,R}) where {T,R,D} = apply(tmt.tm, v, I...)
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
50
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
51 range_size(tmt::TensorTranspose) = domain_size(tmt.tm)
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
52 domain_size(tmt::TensorTranspose) = range_size(tmt.tm)
197
a340fa91b1fc Move transpose def to the bottom of the file
Jonatan Werpers <jonatan@werpers.com>
parents: 196
diff changeset
53
1002
271aa6ae1055 Split out a file for tensor types
Jonatan Werpers <jonatan@werpers.com>
parents: 1001
diff changeset
54
1298
aa8579b7fc15 Fix parameter order in subtyping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1229
diff changeset
55 struct ElementwiseTensorOperation{Op,T,R,D,T1<:LazyTensor{T,R,D},T2<:LazyTensor{T,R,D}} <: LazyTensor{T,R,D}
274
11010bb74260 Dispatch getindex for TensorMappingApplication on region indices. Dispatch apply
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 267
diff changeset
56 tm1::T1
11010bb74260 Dispatch getindex for TensorMappingApplication on region indices. Dispatch apply
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 267
diff changeset
57 tm2::T2
210
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
58
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
59 function ElementwiseTensorOperation{Op,T,R,D}(tm1::T1,tm2::T2) where {Op,T,R,D, T1<:LazyTensor{T,R,D},T2<:LazyTensor{T,R,D}}
1007
f7a718bcb4da Add checking of sizes to LazyTensorBinaryOperation
Jonatan Werpers <jonatan@werpers.com>
parents: 1006
diff changeset
60 @boundscheck check_domain_size(tm2, domain_size(tm1))
f7a718bcb4da Add checking of sizes to LazyTensorBinaryOperation
Jonatan Werpers <jonatan@werpers.com>
parents: 1006
diff changeset
61 @boundscheck check_range_size(tm2, range_size(tm1))
274
11010bb74260 Dispatch getindex for TensorMappingApplication on region indices. Dispatch apply
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 267
diff changeset
62 return new{Op,T,R,D,T1,T2}(tm1,tm2)
210
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
63 end
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
64 end
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
65
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
66 ElementwiseTensorOperation{Op}(s,t) where Op = ElementwiseTensorOperation{Op,eltype(s), range_dim(s), domain_dim(s)}(s,t)
1001
a3df203861d3 Simplify some type parameter usage
Jonatan Werpers <jonatan@werpers.com>
parents: 1000
diff changeset
67
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
68 apply(tmBinOp::ElementwiseTensorOperation{:+,T,R,D}, v::AbstractArray{<:Any,D}, I::Vararg{Any,R}) where {T,R,D} = apply(tmBinOp.tm1, v, I...) + apply(tmBinOp.tm2, v, I...)
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
69 apply(tmBinOp::ElementwiseTensorOperation{:-,T,R,D}, v::AbstractArray{<:Any,D}, I::Vararg{Any,R}) where {T,R,D} = apply(tmBinOp.tm1, v, I...) - apply(tmBinOp.tm2, v, I...)
210
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
70
1037
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
71 range_size(tmBinOp::ElementwiseTensorOperation) = range_size(tmBinOp.tm1)
9e76bf19904c Drop more prefixes
Jonatan Werpers <jonatan@werpers.com>
parents: 1017
diff changeset
72 domain_size(tmBinOp::ElementwiseTensorOperation) = domain_size(tmBinOp.tm1)
210
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
73
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
74
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
75 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
76 TensorComposition{T,R,K,D}
210
2aa33d0eef90 Add ability to add and subtract TensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 209
diff changeset
77
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
78 Lazily compose two `LazyTensor`s, so that they can be handled as a single `LazyTensor`.
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
79 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
80 struct TensorComposition{T,R,K,D, TM1<:LazyTensor{T,R,K}, TM2<:LazyTensor{T,K,D}} <: LazyTensor{T,R,D}
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
81 t1::TM1
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
82 t2::TM2
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
83
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
84 function TensorComposition(t1::LazyTensor{T,R,K}, t2::LazyTensor{T,K,D}) where {T,R,K,D}
485
4b49f03bdb98 Switch from DimensionMismatch to SizeMismatch for boundschecks on compositions
Jonatan Werpers <jonatan@werpers.com>
parents: 484
diff changeset
85 @boundscheck check_domain_size(t1, range_size(t2))
417
4c6604b7d990 Add dimension checking in the constructor
Jonatan Werpers <jonatan@werpers.com>
parents: 415
diff changeset
86 return new{T,R,K,D, typeof(t1), typeof(t2)}(t1,t2)
4c6604b7d990 Add dimension checking in the constructor
Jonatan Werpers <jonatan@werpers.com>
parents: 415
diff changeset
87 end
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
88 end
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
89
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
90 range_size(tm::TensorComposition) = range_size(tm.t1)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
91 domain_size(tm::TensorComposition) = domain_size(tm.t2)
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
92
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
93 function apply(c::TensorComposition{T,R,K,D}, v::AbstractArray{<:Any,D}, I::Vararg{Any,R}) where {T,R,K,D}
418
264af2bb646f Switch to using * instead of calling the constructor
Jonatan Werpers <jonatan@werpers.com>
parents: 417
diff changeset
94 apply(c.t1, c.t2*v, I...)
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
95 end
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
96
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
97 function apply_transpose(c::TensorComposition{T,R,K,D}, v::AbstractArray{<:Any,R}, I::Vararg{Any,D}) where {T,R,K,D}
418
264af2bb646f Switch to using * instead of calling the constructor
Jonatan Werpers <jonatan@werpers.com>
parents: 417
diff changeset
98 apply_transpose(c.t2, c.t1'*v, I...)
412
d94891b8dfca Start implementing TensorComposition
Jonatan Werpers <jonatan@werpers.com>
parents: 402
diff changeset
99 end
190
8964b3165097 Break LazyTensors.jl into several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
100
377
8414c2334393 Start implementing LazyLinearMap
Jonatan Werpers <jonatan@werpers.com>
parents: 359
diff changeset
101 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
102 TensorComposition(tm, tmi::IdentityTensor)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
103 TensorComposition(tmi::IdentityTensor, tm)
479
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
104
1513
d7bc11053951 Fix spelling mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 1365
diff changeset
105 Composes a `LazyTensor` `tm` with an `IdentityTensor` `tmi`, by returning `tm`
479
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
106 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
107 function TensorComposition(tm::LazyTensor{T,R,D}, tmi::IdentityTensor{T,D}) where {T,R,D}
485
4b49f03bdb98 Switch from DimensionMismatch to SizeMismatch for boundschecks on compositions
Jonatan Werpers <jonatan@werpers.com>
parents: 484
diff changeset
108 @boundscheck check_domain_size(tm, range_size(tmi))
479
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
109 return tm
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
110 end
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
111
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
112 function TensorComposition(tmi::IdentityTensor{T,R}, tm::LazyTensor{T,R,D}) where {T,R,D}
485
4b49f03bdb98 Switch from DimensionMismatch to SizeMismatch for boundschecks on compositions
Jonatan Werpers <jonatan@werpers.com>
parents: 484
diff changeset
113 @boundscheck check_domain_size(tmi, range_size(tm))
479
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
114 return tm
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
115 end
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
116 # Specialization for the case where tm is an IdentityTensor. Required to resolve ambiguity.
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
117 function TensorComposition(tm::IdentityTensor{T,D}, tmi::IdentityTensor{T,D}) where {T,D}
485
4b49f03bdb98 Switch from DimensionMismatch to SizeMismatch for boundschecks on compositions
Jonatan Werpers <jonatan@werpers.com>
parents: 484
diff changeset
118 @boundscheck check_domain_size(tm, range_size(tmi))
479
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
119 return tmi
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
120 end
95f3b9036801 Specialize composition operator for composing a tensormapping with an identitymapping.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 465
diff changeset
121
1084
2e606d4c0ab1 Add support for multiplying a LazyTensor with a scalar
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1037
diff changeset
122 Base.:*(a::T, tm::LazyTensor{T}) where T = TensorComposition(ScalingTensor{T,range_dim(tm)}(a,range_size(tm)), tm)
2e606d4c0ab1 Add support for multiplying a LazyTensor with a scalar
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1037
diff changeset
123 Base.:*(tm::LazyTensor{T}, a::T) where T = a*tm
1609
df1856b0e2f0 Remove extra `where T`
Jonatan Werpers <jonatan@werpers.com>
parents: 1605
diff changeset
124 Base.:-(tm::LazyTensor) = (-one(eltype(tm)))*tm
992
bc384aaade30 Add a bunch of todos and add a ScalingTensor
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
125
459
11e58c49fb46 Add some documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 458
diff changeset
126 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
127 InflatedTensor{T,R,D} <: LazyTensor{T,R,D}
459
11e58c49fb46 Add some documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 458
diff changeset
128
1513
d7bc11053951 Fix spelling mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 1365
diff changeset
129 An inflated `LazyTensor` with dimensions added before and after its actual dimensions.
459
11e58c49fb46 Add some documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 458
diff changeset
130 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
131 struct InflatedTensor{T,R,D,D_before,R_middle,D_middle,D_after, TM<:LazyTensor{T,R_middle,D_middle}} <: LazyTensor{T,R,D}
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
132 before::IdentityTensor{T,D_before}
449
14d60de71b72 Change to concrete fields in the type
Jonatan Werpers <jonatan@werpers.com>
parents: 448
diff changeset
133 tm::TM
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
134 after::IdentityTensor{T,D_after}
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
135
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
136 function InflatedTensor(before, tm::LazyTensor{T}, after) where T
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
137 R_before = range_dim(before)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
138 R_middle = range_dim(tm)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
139 R_after = range_dim(after)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
140 R = R_before+R_middle+R_after
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
141
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
142 D_before = domain_dim(before)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
143 D_middle = domain_dim(tm)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
144 D_after = domain_dim(after)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
145 D = D_before+D_middle+D_after
449
14d60de71b72 Change to concrete fields in the type
Jonatan Werpers <jonatan@werpers.com>
parents: 448
diff changeset
146 return new{T,R,D,D_before,R_middle,D_middle,D_after, typeof(tm)}(before, tm, after)
448
912ae510dec9 Use new name of IdentityMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 447
diff changeset
147 end
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
148 end
1002
271aa6ae1055 Split out a file for tensor types
Jonatan Werpers <jonatan@werpers.com>
parents: 1001
diff changeset
149
461
a0e40d16ba0e Better documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 460
diff changeset
150 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
151 InflatedTensor(before, tm, after)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
152 InflatedTensor(before,tm)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
153 InflatedTensor(tm,after)
461
a0e40d16ba0e Better documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 460
diff changeset
154
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
155 The outer product of `before`, `tm` and `after`, where `before` and `after` are `IdentityTensor`s.
465
f270d82fc9ad Change documention in an attempt to follow the guidelines
Jonatan Werpers <jonatan@werpers.com>
parents: 464
diff changeset
156
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
157 If one of `before` or `after` is left out, a 0-dimensional `IdentityTensor` is used as the default value.
493
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
158
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
159 If `tm` already is an `InflatedTensor`, `before` and `after` will be extended instead of
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
160 creating a nested `InflatedTensor`.
461
a0e40d16ba0e Better documentation
Jonatan Werpers <jonatan@werpers.com>
parents: 460
diff changeset
161 """
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
162 InflatedTensor(::IdentityTensor, ::LazyTensor, ::IdentityTensor)
493
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
163
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
164 function InflatedTensor(before, itm::InflatedTensor, after)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
165 return InflatedTensor(
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
166 IdentityTensor(before.size..., itm.before.size...),
493
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
167 itm.tm,
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
168 IdentityTensor(itm.after.size..., after.size...),
493
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
169 )
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
170 end
df566372bb4f Implement constructors to avoid creating nested InflatedTensorMappings
Jonatan Werpers <jonatan@werpers.com>
parents: 487
diff changeset
171
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
172 InflatedTensor(before::IdentityTensor, tm::LazyTensor{T}) where T = InflatedTensor(before,tm,IdentityTensor{T}())
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
173 InflatedTensor(tm::LazyTensor{T}, after::IdentityTensor) where T = InflatedTensor(IdentityTensor{T}(),tm,after)
465
f270d82fc9ad Change documention in an attempt to follow the guidelines
Jonatan Werpers <jonatan@werpers.com>
parents: 464
diff changeset
174 # Resolve ambiguity between the two previous methods
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
175 InflatedTensor(I1::IdentityTensor{T}, I2::IdentityTensor{T}) where T = InflatedTensor(I1,I2,IdentityTensor{T}())
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
176
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
177 # TODO: Implement some pretty printing in terms of ⊗. E.g InflatedTensor(I(3),B,I(2)) -> I(3)⊗B⊗I(2)
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
178
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
179 function range_size(itm::InflatedTensor)
1225
6567e38b05ca Replace flatten_tuple with concatenate_tuple
Jonatan Werpers <jonatan@werpers.com>
parents: 1098
diff changeset
180 return concatenate_tuples(
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
181 range_size(itm.before),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
182 range_size(itm.tm),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
183 range_size(itm.after),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
184 )
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
185 end
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
186
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
187 function domain_size(itm::InflatedTensor)
1225
6567e38b05ca Replace flatten_tuple with concatenate_tuple
Jonatan Werpers <jonatan@werpers.com>
parents: 1098
diff changeset
188 return concatenate_tuples(
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
189 domain_size(itm.before),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
190 domain_size(itm.tm),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
191 domain_size(itm.after),
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
192 )
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
193 end
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
194
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
195 function apply(itm::InflatedTensor{T,R,D}, v::AbstractArray{<:Any,D}, I::Vararg{Any,R}) where {T,R,D}
538
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
196 dim_before = range_dim(itm.before)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
197 dim_domain = domain_dim(itm.tm)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
198 dim_range = range_dim(itm.tm)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
199 dim_after = range_dim(itm.after)
520
fe86ac896377 Start refactoring split index and apply to accomodate future addition of apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 501
diff changeset
200
1229
8f4259fbd39c Simplify split_index
Jonatan Werpers <jonatan@werpers.com>
parents: 1225
diff changeset
201 view_index, inner_index = split_index(dim_before, dim_domain, dim_range, dim_after, I...)
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
202
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
203 v_inner = view(v, view_index...)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
204 return apply(itm.tm, v_inner, inner_index...)
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
205 end
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
206
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
207 function apply_transpose(itm::InflatedTensor{T,R,D}, v::AbstractArray{<:Any,R}, I::Vararg{Any,D}) where {T,R,D}
538
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
208 dim_before = range_dim(itm.before)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
209 dim_domain = domain_dim(itm.tm)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
210 dim_range = range_dim(itm.tm)
848dec405332 Change variable names in apply and apply_transpose
Jonatan Werpers <jonatan@werpers.com>
parents: 537
diff changeset
211 dim_after = range_dim(itm.after)
526
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
212
1229
8f4259fbd39c Simplify split_index
Jonatan Werpers <jonatan@werpers.com>
parents: 1225
diff changeset
213 view_index, inner_index = split_index(dim_before, dim_range, dim_domain, dim_after, I...)
526
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
214
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
215 v_inner = view(v, view_index...)
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
216 return apply_transpose(itm.tm, v_inner, inner_index...)
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
217 end
be152486d136 Implement apply_transpose with tests
Jonatan Werpers <jonatan@werpers.com>
parents: 525
diff changeset
218
446
904aae1899df Start implementing InflatedTensorMapping
Jonatan Werpers <jonatan@werpers.com>
parents: 429
diff changeset
219
838
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
220 @doc raw"""
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
221 LazyOuterProduct(tms...)
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
222
1513
d7bc11053951 Fix spelling mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 1365
diff changeset
223 Creates a `TensorComposition` for the outer product of `tms...`.
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
224 This is done by separating the outer product into regular products of outer products involving only identity mappings and one non-identity mapping.
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
225
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
226 First let
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
227 ```math
838
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
228 \begin{aligned}
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
229 A &= A_{I,J} \\
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
230 B &= B_{M,N} \\
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
231 C &= C_{P,Q} \\
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
232 \end{aligned}
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
233 ```
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
234
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
235 where ``I``, ``M``, ``P`` are multi-indexes for the ranges of ``A``, ``B``, ``C``, and ``J``, ``N``, ``Q`` are multi-indexes of the domains.
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
236
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
237 We use ``⊗`` to denote the outer product
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
238 ```math
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
239 (A⊗B)_{IM,JN} = A_{I,J}B_{M,N}
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
240 ```
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
241
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
242 We note that
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
243 ```math
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
244 A⊗B⊗C = (A⊗B⊗C)_{IMP,JNQ} = A_{I,J}B_{M,N}C_{P,Q}
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
245 ```
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
246 And that
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
247 ```math
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
248 A⊗B⊗C = (A⊗I_{|M|}⊗I_{|P|})(I_{|J|}⊗B⊗I_{|P|})(I_{|J|}⊗I_{|N|}⊗C)
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
249 ```
838
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
250 where ``|⋅|`` of a multi-index is a vector of sizes for each dimension. ``I_v`` denotes the identity tensor of size ``v[i]`` in each direction
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
251 To apply ``A⊗B⊗C`` we evaluate
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
252
838
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
253 ```math
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
254 (A⊗B⊗C)v = [(A⊗I_{|M|}⊗I_{|P|}) [(I_{|J|}⊗B⊗I_{|P|}) [(I_{|J|}⊗I_{|N|}⊗C)v]]]
838
76e5682d0e52 Fix a bunch of docstring mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 625
diff changeset
255 ```
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
256 """
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
257 function LazyOuterProduct end
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
258
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
259 function LazyOuterProduct(tm1::LazyTensor{T}, tm2::LazyTensor{T}) where T
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
260 itm1 = InflatedTensor(tm1, IdentityTensor{T}(range_size(tm2)))
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
261 itm2 = InflatedTensor(IdentityTensor{T}(domain_size(tm1)),tm2)
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
262
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
263 return itm1∘itm2
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
264 end
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
265
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
266 LazyOuterProduct(t1::IdentityTensor{T}, t2::IdentityTensor{T}) where T = IdentityTensor{T}(t1.size...,t2.size...)
1017
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
267 LazyOuterProduct(t1::LazyTensor, t2::IdentityTensor) = InflatedTensor(t1, t2)
6abbb2c6c3e4 Remove the Lazy prefix on some types
Jonatan Werpers <jonatan@werpers.com>
parents: 1016
diff changeset
268 LazyOuterProduct(t1::IdentityTensor, t2::LazyTensor) = InflatedTensor(t1, t2)
491
2dc2eac27f75 Add special methods for Identity mappings
Jonatan Werpers <jonatan@werpers.com>
parents: 475
diff changeset
269
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
270 LazyOuterProduct(tms::Vararg{LazyTensor}) = foldl(LazyOuterProduct, tms)
468
a52f38e72258 Start implementing function for outer products
Jonatan Werpers <jonatan@werpers.com>
parents: 461
diff changeset
271
498
5a600ec40ccc Merge in default
Jonatan Werpers <jonatan@werpers.com>
parents: 491 493
diff changeset
272
5a600ec40ccc Merge in default
Jonatan Werpers <jonatan@werpers.com>
parents: 491 493
diff changeset
273
1022
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
274 """
1088
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
275 inflate(tm::LazyTensor, sz, dir)
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
276
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
277 Inflate `tm` such that it gets the size `sz` in all directions except `dir`.
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
278 Here `sz[dir]` is ignored and replaced with the range and domains size of
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
279 `tm`.
1022
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
280
1088
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
281 An example of when this operation is useful is when extending a one
1513
d7bc11053951 Fix spelling mistakes
Jonatan Werpers <jonatan@werpers.com>
parents: 1365
diff changeset
282 dimensional difference operator `D` to a 2D grid of a certain size. In that
1088
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
283 case we could have
1022
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
284
1088
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
285 ```julia
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
286 Dx = inflate(D, (10,10), 1)
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
287 Dy = inflate(D, (10,10), 2)
62f321caa964 Improve docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
288 ```
1022
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
289 """
1023
52f07c77299d Merge refactor/lazy_tensors
Jonatan Werpers <jonatan@werpers.com>
parents: 1022 1007
diff changeset
290 function inflate(tm::LazyTensor, sz, dir)
52f07c77299d Merge refactor/lazy_tensors
Jonatan Werpers <jonatan@werpers.com>
parents: 1022 1007
diff changeset
291 Is = IdentityTensor{eltype(tm)}.(sz)
1022
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
292 parts = Base.setindex(Is, tm, dir)
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
293 return foldl(⊗, parts)
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
294 end
bbbc31953367 Introduce an inflate function in lazy tensors and use it in volume_operator and boundary_operator
Jonatan Werpers <jonatan@werpers.com>
parents: 977
diff changeset
295
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
296 function check_domain_size(tm::LazyTensor, sz)
487
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
297 if domain_size(tm) != sz
1006
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
298 throw(DomainSizeMismatch(tm,sz))
487
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
299 end
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
300 end
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
301
1006
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
302 function check_range_size(tm::LazyTensor, sz)
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
303 if range_size(tm) != sz
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
304 throw(RangeSizeMismatch(tm,sz))
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
305 end
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
306 end
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
307
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
308 struct DomainSizeMismatch <: Exception
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
309 tm::LazyTensor
487
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
310 sz
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
311 end
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
312
1006
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
313 function Base.showerror(io::IO, err::DomainSizeMismatch)
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
314 print(io, "DomainSizeMismatch: ")
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 994
diff changeset
315 print(io, "domain size $(domain_size(err.tm)) of LazyTensor not matching size $(err.sz)")
487
6a6b7eaf9edf Move exception handling to end of file and update error message.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 485
diff changeset
316 end
1006
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
317
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
318
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
319 struct RangeSizeMismatch <: Exception
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
320 tm::LazyTensor
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
321 sz
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
322 end
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
323
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
324 function Base.showerror(io::IO, err::RangeSizeMismatch)
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
325 print(io, "RangeSizeMismatch: ")
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
326 print(io, "range size $(range_size(err.tm)) of LazyTensor not matching size $(err.sz)")
d9476fede83d Add check methods for range size
Jonatan Werpers <jonatan@werpers.com>
parents: 1005
diff changeset
327 end