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annotate cbc/named-product.agda @ 40:e6b965df2137

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Trying define type composition using subtype through DS
author atton <atton@cr.ie.u-ryukyu.ac.jp>
date Tue, 03 Jan 2017 07:52:43 +0000
parents d8312361afdc
children 2abf1cd97f10
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60e604972f30 Trying define codesegment using named-product with subtype
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1 module named-product where
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3 open import Function
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4 open import Data.Bool
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5 open import Data.Nat
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6 open import Data.String
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7 open import Data.Vec
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8 open import Relation.Binary.PropositionalEquality
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11 data DataSegment {n : ℕ } : (Vec Set n) -> Set where
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12 ds : (l : Vec Set n) -> DataSegment l
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15 record Context : Set where
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16 field
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17 cycle : ℕ
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18 led : String
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19 signature : String
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21 record Datum (A : Set) : Set where
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22 field
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23 get : Context -> A
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24 set : Context -> A -> Context
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27 record LoopCounter : Set where
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28 field
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29 count : ℕ
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30 name : String
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32 record SignatureWithNum : Set where
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33 field
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34 signature : String
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35 num : ℕ
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37 instance
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38 contextHasLoopCounter : Datum LoopCounter
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39 contextHasLoopCounter = record {get = (\c -> record {count = Context.cycle c ;
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40 name = Context.led c });
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41 set = (\c l -> record {cycle = LoopCounter.count l;
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42 led = LoopCounter.name l;
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43 signature = Context.signature c})}
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44 contextHasSignatureWithNum : Datum SignatureWithNum
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45 contextHasSignatureWithNum = record {get = (\c -> record { signature = Context.signature c
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46 ; num = Context.cycle c})
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47 ;set = (\c s -> record { cycle = SignatureWithNum.num s
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48 ; led = Context.led c
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49 ; signature = SignatureWithNum.signature s})
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50 }
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53 inc : LoopCounter -> LoopCounter
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54 inc l = record l {count = suc (LoopCounter.count l)}
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56 firstContext : Context
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57 firstContext = record { cycle = 3 ; led = "q" ; signature = "aaa" }
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59 incContextCycle : {{_ : Datum LoopCounter }} -> Context -> Context
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60 incContextCycle {{l}} c = Datum.set l c (inc (Datum.get l c))
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63 equiv : incContextCycle firstContext ≡ record { cycle = 4 ; led = "q" ; signature = "aaa" }
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64 equiv = refl
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68 data CodeSegment {n : ℕ} {l : Vec Set n} (A B : Set) : (DataSegment (A ∷ (B ∷ l))) -> Set where
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69 cs : {{_ : Datum A}} {{_ : Datum B}} -> (A -> B) -> CodeSegment A B (ds (A ∷ (B ∷ l)))
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72 exec : {n : ℕ } {I O : Set} -> {l : Vec Set (suc (suc n))} {{_ : Datum I}} {{_ : Datum O}} -> CodeSegment I O (ds (I ∷ O ∷ l)) -> Context -> Context
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73 exec {{i}} {{o}} (cs b) c = Datum.set o c (b (Datum.get i c))
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76 equiv-exec : {n : ℕ } {l : Vec Set n} -> incContextCycle firstContext ≡ exec (cs inc) firstContext
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77 equiv-exec = refl
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78 {-
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81 InputIsHead : {n : ℕ} {I O : Set} {l : Vec Set (suc (suc n))} -> (cs : CodeSegment I O l) -> I ≡ head l
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82 InputIsHead (cs _) = refl
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84 OutputIsLast : {n : ℕ} {I O : Set} {l : Vec Set (suc (suc n))} -> (cs : CodeSegment I O l) -> O ≡ last l
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85 OutputIsLast {_} {_} {_} {l} (cs x) = {!!}
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87 -}
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91 --yoyo : DataSegment
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92 --yoyo = record { name = "yoyo" ; ds = [ Yo ]}