annotate redBlackTreeTest.agda @ 545:b180dc78abcf

add someTest
author ryokka
date Fri, 12 Jan 2018 18:30:05 +0900
parents 4f692df9b3db
children b654ce34c894
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1 module redBlackTreeTest where
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2
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3 open import RedBlackTree
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4 open import stack
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5 open import Level hiding (zero)
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6
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7 open import Data.Nat
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8
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9 open Tree
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10 open Node
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11 open RedBlackTree.RedBlackTree
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12 open Stack
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13
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14 -- tests
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15
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16 putTree1 : {n m : Level } {a k : Set n} {t : Set m} -> RedBlackTree {n} {m} {t} a k -> k -> a -> (RedBlackTree {n} {m} {t} a k -> t) -> t
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17 putTree1 {n} {m} {a} {k} {t} tree k1 value next with (root tree)
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18 ... | Nothing = next (record tree {root = Just (leafNode k1 value) })
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19 ... | Just n2 = clearSingleLinkedStack (nodeStack tree) (\ s -> findNode tree s (leafNode k1 value) n2 (\ tree1 s n1 -> replaceNode tree1 s n1 next))
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20
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21 open import Relation.Binary.PropositionalEquality
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22 open import Relation.Binary.Core
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23 open import Function
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24
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25
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26 check1 : {m : Level } (n : Maybe (Node ℕ ℕ)) -> ℕ -> Bool {m}
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27 check1 Nothing _ = False
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28 check1 (Just n) x with Data.Nat.compare (value n) x
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29 ... | equal _ = True
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30 ... | _ = False
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31
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32 test1 : putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero} ) 1 1 ( \t -> getRedBlackTree t 1 ( \t x -> check1 x 1 ≡ True ))
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33 test1 = refl
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34
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35 test2 : putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero} ) 1 1 (
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36 \t -> putTree1 t 2 2 (
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37 \t -> getRedBlackTree t 1 (
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38 \t x -> check1 x 1 ≡ True )))
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39 test2 = refl
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40
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41 open ≡-Reasoning
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42 test3 : putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero}) 1 1
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43 $ \t -> putTree1 t 2 2
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44 $ \t -> putTree1 t 3 3
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45 $ \t -> putTree1 t 4 4
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46 $ \t -> getRedBlackTree t 1
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47 $ \t x -> check1 x 1 ≡ True
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48 test3 = begin
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49 check1 (Just (record {key = 1 ; value = 1 ; color = Black ; left = Nothing ; right = Just (leafNode 2 2)})) 1
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50 ≡⟨ refl ⟩
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51 True
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52
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53
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54 test31 = putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ ) 1 1
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55 $ \t -> putTree1 t 2 2
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56 $ \t -> putTree1 t 3 3
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57 $ \t -> putTree1 t 4 4
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58 $ \t -> getRedBlackTree t 4
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59 $ \t x -> x
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60
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61 -- test5 : Maybe (Node ℕ ℕ)
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62 test5 = putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ ) 4 4
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63 $ \t -> putTree1 t 6 6
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64 $ \t0 -> clearSingleLinkedStack (nodeStack t0)
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65 $ \s -> findNode1 t0 s (leafNode 3 3) ( root t0 )
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66 $ \t1 s n1 -> replaceNode t1 s n1
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67 $ \t -> getRedBlackTree t 3
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68 -- $ \t x -> SingleLinkedStack.top (stack s)
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69 -- $ \t x -> n1
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70 $ \t x -> root t
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71 where
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72 findNode1 : {n m : Level } {a k : Set n} {t : Set m} -> RedBlackTree {n} {m} {t} a k -> SingleLinkedStack (Node a k) -> (Node a k) -> (Maybe (Node a k)) -> (RedBlackTree {n} {m} {t} a k -> SingleLinkedStack (Node a k) -> Node a k -> t) -> t
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73 findNode1 t s n1 Nothing next = next t s n1
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74 findNode1 t s n1 ( Just n2 ) next = findNode t s n1 n2 next
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75
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76 -- test51 : putTree1 {_} {_} {ℕ} {ℕ} {_} {Maybe (Node ℕ ℕ)} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero} ) 1 1 $ \t ->
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77 -- putTree1 t 2 2 $ \t -> putTree1 t 3 3 $ \t -> root t ≡ Just (record { key = 1; value = 1; left = Just (record { key = 2 ; value = 2 } ); right = Nothing} )
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78 -- test51 = refl
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79
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80 test6 : Maybe (Node ℕ ℕ)
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81 test6 = root (createEmptyRedBlackTreeℕ {_} ℕ {Maybe (Node ℕ ℕ)})
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82
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83
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84 test7 : Maybe (Node ℕ ℕ)
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85 test7 = clearSingleLinkedStack (nodeStack tree2) (\ s -> replaceNode tree2 s n2 (\ t -> root t))
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86 where
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87 tree2 = createEmptyRedBlackTreeℕ {_} ℕ {Maybe (Node ℕ ℕ)}
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88 k1 = 1
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89 n2 = leafNode 0 0
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90 value1 = 1
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91
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92 test8 : Maybe (Node ℕ ℕ)
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93 test8 = putTree1 {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ) 1 1
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94 $ \t -> putTree1 t 2 2 (\ t -> root t)
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95
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96
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97 test9 : putRedBlackTree {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero} ) 1 1 ( \t -> getRedBlackTree t 1 ( \t x -> check1 x 1 ≡ True ))
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98 test9 = refl
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99
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100 test10 : putRedBlackTree {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ {Set Level.zero} ) 1 1 (
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101 \t -> putRedBlackTree t 2 2 (
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102 \t -> getRedBlackTree t 1 (
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103 \t x -> check1 x 1 ≡ True )))
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104 test10 = refl
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105
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106 test11 = putRedBlackTree {_} {_} {ℕ} {ℕ} (createEmptyRedBlackTreeℕ ℕ) 1 1
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107 $ \t -> putRedBlackTree t 2 2
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108 $ \t -> putRedBlackTree t 3 3
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109 $ \t -> getRedBlackTree t 2
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110 $ \t x -> root t
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111
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112
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113 redBlackInSomeState :{ m : Level } (a : Set Level.zero) (n : Maybe (Node a ℕ)) {t : Set m} -> RedBlackTree {Level.zero} {m} {t} a ℕ
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114 redBlackInSomeState {m} a n {t} = record { root = n ; nodeStack = emptySingleLinkedStack ; compare = compareℕ }
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115
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116 putTest1 :{ m : Level } (n : Maybe (Node ℕ ℕ))
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117 -> (k : ℕ) (x : ℕ)
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118 -> putTree1 {_} {_} {ℕ} {ℕ} (redBlackInSomeState {_} ℕ n {Set Level.zero}) k x
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119 (\ t -> getRedBlackTree t k (\ t x1 -> check1 x1 x ≡ True))
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120 putTest1 n k x = {!!}
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121
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122 -- begin
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123 -- ?
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124 -- ≡⟨ ? ⟩
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125 -- True
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126 -- ∎