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annotate TensorMappings.jl @ 161:ea01b5550ff6 boundary_conditions

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Add some missing methods in TensorMappings.jl
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 10 May 2019 21:48:28 +0200
parents d33b13d2d92b
children be50c5e40121
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1 module TensorMappings
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2 # Needs a better name ImplicitTensorMappings? Get rid of "Tensor" in the name_
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3
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4 abstract type TensorMapping{T,R,D} end
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6 range_dim(::TensorMapping{T,R,D}) where {T,R,D} = R
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7 domain_dim(::TensorMapping{T,R,D}) where {T,R,D} = D
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8 # range_size(::TensorMapping{T,R,D}, domain_size::NTuple{D,Integer}) where {T,R,D}
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9 # domain_size(::TensorMapping{T,R,D}, range_size::NTuple{R,Integer}) where {T,R,D}
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11 # apply(t::TensorMapping{T,R,D}, v::AbstractArray{T,D}, I::Vararg) where {R,D,T} =
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12 # apply_transpose(t::TensorMapping{T,R,D}, v::AbstractArray{T,D}, I::Vararg) where {R,D,T} =
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13 # Implementing apply_transpose and domain_size is only needed if you want to take transposes of the TensorMapping.
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14 # TODO: Think about boundschecking!
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16 abstract type TensorOperator{T,D} <: TensorMapping{T,D,D} end
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17 domain_size(::TensorOperator{T,D}, range_size::NTuple{D,Integer}) where {T,D} = range_size
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18 range_size(::TensorOperator{T,D}, domain_size::NTuple{D,Integer}) where {T,D} = domain_size
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22 # Allow using the ' operator:
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23 struct TensorMappingTranspose{T,R,D} <: TensorMapping{T,D,R}
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24 tm::TensorMapping{T,R,D}
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25 end
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27 Base.adjoint(t::TensorMapping) = TensorMappingTranspose(t)
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28 # TBD: Should this be implemented on a type by type basis or through a trait to provide earlier errors?
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29 Base.adjoint(t::TensorMappingTranspose) = t.tm
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30
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31 apply(tm::TensorMappingTranspose{T,R,D}, v::AbstractArray{T,R}, I::Vararg) where {T,R,D} = apply_transpose(tm.tm, v, I...)
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32 apply_transpose(tm::TensorMappingTranspose{T,R,D}, v::AbstractArray{T,D}, I::Vararg) where {T,R,D} = apply(tm.tm, v, I...)
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33
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34 range_size(tmt::TensorMappingTranspose{T,R,D}, domain_size::NTuple{D,Integer}) = domain_size(tmt.tm, domain_size)
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35 domain_size(tmt::TensorMappingTranspose{T,R,D}, range_size::NTuple{D,Integer}) = range_size(tmt.tm, range_size)
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39 struct TensorApplication{T,R,D} <: AbstractArray{T,R}
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40 t::TensorMapping{R,D}
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41 o::AbstractArray{T,D}
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42 end
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44 Base.size(ta::TensorApplication) = range_size(ta.t,size(ta.o))
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45 Base.getindex(tm::TensorApplication, I::Vararg) = apply(tm.t, tm.o, I...)
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46 # TODO: What else is needed to implement the AbstractArray interface?
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47
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48 →(t::TensorMapping{T,R,D}, o::AbstractArray{T,D}) where {T,R,D} = TensorApplication(t,o)
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49 # Should we overload some other infix binary operator?
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50 # We need the associativity to be a→b→c = a→(b→c), which is the case for '→'
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52 import Base.*
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53 *(args::Union{TensorMapping{T}, AbstractArray{T}}...) where T = foldr(*,args)
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54 *(t::TensorMapping{T,R,D}, o::AbstractArray{T,D}) where {T,R,D} = TensorApplication(t,o)
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55 # We need to be really careful about good error messages.
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56 # For example what happens if you try to multiply TensorApplication with a TensorMapping(wrong order)?
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60 struct TensorMappingComposition{T,R,K,D} <: TensorMapping{T,R,D}
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61 t1::TensorMapping{T,R,K}
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62 t2::TensorMapping{T,K,D}
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63 end
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64
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65 import Base.∘
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66 ∘(s::TensorMapping{T,R,K}, t::TensorMapping{T,K,D}) where {T,R,K,D} = TensorMappingComposition(s,t)
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67
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68 function range_size(tm::TensorMappingComposition{T,R,K,D}, domain_size::NTuple{D,Integer}) where {T,R,D}
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69 range_size(tm.t1, domain_size(tm.t2, domain_size))
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70 end
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71
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72 function domain_size(tm::TensorMappingComposition{T,R,K,D}, range_size::NTuple{R,Integer}) where {T,R,D}
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73 domain_size(tm.t1, domain_size(tm.t2, range_size))
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74 end
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75
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76 function apply(c::TensorMappingComposition{T,R,K,D}, v::AbstractArray{T,D}, I::Vararg) where {T,R,K,D}
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77 apply(c.t1, TensorApplication(c.t2,v), I...)
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78 end
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79
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80 function apply_transpose(c::TensorMappingComposition{T,R,K,D}, v::AbstractArray{T,D}, I::Vararg) where {T,R,K,D}
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81 apply_transpose(c.t2, TensorApplication(c.t1',v), I...)
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82 end
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83
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84 # Have i gone too crazy with the type parameters? Maybe they aren't all needed?
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86
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87 export apply
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88 export apply_transpose
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89 export range_dim
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90 export domain_dim
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91 export range_size
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92 export →
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94
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95 end #module