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Add some notes about vector valued grid functions
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 15 Oct 2020 21:06:28 +0200
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1 # Notes
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2
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3 ## Known size of range and domain?
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4 Is there any reason to use a trait to differentiate between fixed size and unknown size?
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5
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6 When do we need to know the size of the range and domain?
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7 * When indexing to provide boundschecking?
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8 * When doing specialised computations for different parts of the range/domain?
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9 * More?
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10
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11 Maybe if we should have dynamic sizing it could be only for the range. `domain_size` would not be implemented. And the `range_size` would be a function of a vector that the TensorMapping is applied to.
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13 ## Reasearch and thinking
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14 - [ ] Use a trait to indicate if a TensorMapping uses indices with regions.
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15 The default should be that they do NOT.
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16 - [ ] What to name this trait? Can we call it IndexStyle but not export it to avoid conflicts with Base.IndexStyle?
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17 - [ ] Use a trait to indicate that a TensorMapping har the same range and domain?
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18 - [ ] Rename all the Tensor stuff to just LazyOperator, LazyApplication and so on?
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19 - [ ] Figure out repeated application of regioned TensorMappings. Maybe an instance of a tensor mapping needs to know the exact size of the range and domain for this to work?
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20 - [ ] Check how the native julia doc generator works
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21 - [ ] Check if Vidars design docs fit in there
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22 - [ ] Create a macro @lazy which replaces a binary op (+,-) by its lazy equivalent? Would be a neat way to indicate which evaluations are lazy without cluttering/confusing with special characters.
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23 - [ ] Specificera operatorer i TOML eller något liknande?
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24 H.. H_gamma etc.)
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25 - [ ] Dispatch in Lower() instead of the type Lower so `::Lower` instead of `::Type{Lower}` ???
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26 Seems better unless there is some specific reason to use the type instead of the value.
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27 - [ ] How do we handle mixes of periodic and non-periodic grids? Seems it should be supported on the grid level and on the 1d operator level. Between there it should be transparent.
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28 - [ ] Can we have a trait to tell if a TensorMapping is transposable?
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29 - [ ] Is it ok to have "Constructors" for abstract types which create subtypes? For example a Grids() functions that gives different kind of grids based on input?
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30
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31 ## Vector valued grid functions
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32 Från slack konversation:
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33
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34 Jonatan Werpers:
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35 Med vektorvärda gridfunktioner vill vi ju fortfarande att grid funktionen ska vara till exempel AbstractArray{LitenVektor,2}
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36 Och att man ska kunna göra allt man vill med LitenVektor
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37 typ addera, jämföra osv
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38 Och då borde points returnera AbstractArray{LitenVektor{Float,2},2} för ett 2d nät
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39 Men det kanske bara ska vara Static arrays?
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40
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41 Vidar Stiernström:
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42 Ja, jag vet inte riktigt vad som är en rimlig representation
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43 Du menar en vektor av static arrays då?
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44
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45 Jonatan Werpers:
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46 Ja, att LitenVektor är en StaticArray
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47
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48 Vidar Stiernström:
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49 Tuplar känns typ rätt inuitivt för att representera värdet i en punkt
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50 men
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51 det suger att man inte har + och - för dem
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52
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53 Jonatan Werpers:
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54 Ja precis
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55
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56 Vidar Stiernström:
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57 så kanske är bra med static arrays i detta fall
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58
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59 Jonatan Werpers:
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60 Man vill ju kunna köra en Operator rakt på och vara klar eller?
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61
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62 Vidar Stiernström:
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63 Har inte alls tänkt på hur det vi gör funkar mot vektorvärda funktioner
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64 men känns som staticarrays är hur man vill göra det
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65 tuplar är ju immutable också
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66 blir jobbigt om man bara agerar på en komponent då
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67
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68 Jonatan Werpers:
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69 Hm…
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70 Tål att tänkas på
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71 Men det lär ju bli mer indirektion med mutables eller?
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72 Hur fungerar det?
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73 Det finns ju hur som helst både SVector och MVector i StaticArrays
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74
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75 Vidar Stiernström:
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76 När vi jobbat i c/c++ och kollat runt lite hur man brukar göra så lagrar man i princip alla sina obekanta i en lång vektor och så får man specificera i funktioerna vilken komponent man agerar på och till vilken man skriver
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77 så man lagrar grejer enl: w = [u1, v1, u2, v2, …] i 1D.
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78 Men alltså har ingen aning hur julia hanterar detta
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79
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80 Jonatan Werpers:
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81 Det vi är ute efter kanske är att en grid funcktion är en AbstractArray{T,2} where T<:NågotSomViKanRäknaMed
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82 Och så får den typen var lite vad som helst.
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83
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84 Vidar Stiernström:
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85 Tror det kan vara farligt att ha nåt som är AbstractArray{LitenArray{NDof},Dim}
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86 Jag gissar att det kompilatorn vill ha är en stor array med doubles
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87
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88 Jonatan Werpers:
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89 Och sen är det upp till den som använder grejerna att vara smart
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90 Vill man vara trixig kan man väl då imlementera SuperHaxxorGridFunction <: AbstractArray{Array{…},2} som lagrar allt linjärt eller något sånt
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91 Det kommer väl lösa sig när man börjar implementera vektorvärda saker
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92 Euler nästa!
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93 New
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94 Vidar Stiernström:
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95 Det vore skönt att inte behöva skriva såhär varje gång man testar mot en tupel :smile: @test [gp[i]...] ≈ [p[i]...] atol=5e-13
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96
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97 Jonatan Werpers:
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98 https://github.com/JuliaArrays/ArraysOfArrays.jl
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99 https://github.com/jw3126/Setfield.jl