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7
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1 singleLinkedStackSpec : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ StackMethods {n} {m} a {t} (SingleLinkedStack a)
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2 singleLinkedStackSpec = record {
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3 push = pushSingleLinkedStack
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4 ; pop = popSingleLinkedStack
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5 ; pop2 = pop2SingleLinkedStack
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6 ; get = getSingleLinkedStack
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7 ; get2 = get2SingleLinkedStack
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8 ; clear = clearSingleLinkedStack
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9 }
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10
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11 createSingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ Stack {n} {m} a {t} (SingleLinkedStack a)
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12 createSingleLinkedStack = record {
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13 stack = emptySingleLinkedStack ;
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14 stackMethods = singleLinkedStackSpec
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15 }
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16
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17 -- Implementation
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18
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19 pushSingleLinkedStack : {n m : Level } {t : Set m } {Data : Set n} @$\rightarrow$@ SingleLinkedStack Data @$\rightarrow$@ Data @$\rightarrow$@ (Code : SingleLinkedStack Data @$\rightarrow$@ t) @$\rightarrow$@ t
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20 pushSingleLinkedStack stack datum next = next stack1
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21 where
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22 element = cons datum (top stack)
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23 stack1 = record {top = Just element}
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24
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25
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26 popSingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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27 popSingleLinkedStack stack cs with (top stack)
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28 ... | Nothing = cs stack Nothing
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29 ... | Just d = cs stack1 (Just data1)
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30 where
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31 data1 = datum d
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32 stack1 = record { top = (next d) }
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33
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34 pop2SingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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35 pop2SingleLinkedStack {n} {m} {t} {a} stack cs with (top stack)
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36 ... | Nothing = cs stack Nothing Nothing
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37 ... | Just d = pop2SingleLinkedStack' {n} {m} stack cs
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38 where
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39 pop2SingleLinkedStack' : {n m : Level } {t : Set m } @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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40 pop2SingleLinkedStack' stack cs with (next d)
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41 ... | Nothing = cs stack Nothing Nothing
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42 ... | Just d1 = cs (record {top = (next d1)}) (Just (datum d)) (Just (datum d1))
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43
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44
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45 getSingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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46 getSingleLinkedStack stack cs with (top stack)
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47 ... | Nothing = cs stack Nothing
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48 ... | Just d = cs stack (Just data1)
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49 where
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50 data1 = datum d
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51
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52 get2SingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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53 get2SingleLinkedStack {n} {m} {t} {a} stack cs with (top stack)
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54 ... | Nothing = cs stack Nothing Nothing
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55 ... | Just d = get2SingleLinkedStack' {n} {m} stack cs
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56 where
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57 get2SingleLinkedStack' : {n m : Level} {t : Set m } @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (Code : SingleLinkedStack a @$\rightarrow$@ (Maybe a) @$\rightarrow$@ (Maybe a) @$\rightarrow$@ t) @$\rightarrow$@ t
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58 get2SingleLinkedStack' stack cs with (next d)
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59 ... | Nothing = cs stack Nothing Nothing
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60 ... | Just d1 = cs stack (Just (datum d)) (Just (datum d1))
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61
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62 clearSingleLinkedStack : {n m : Level } {t : Set m } {a : Set n} @$\rightarrow$@ SingleLinkedStack a @$\rightarrow$@ (SingleLinkedStack a @$\rightarrow$@ t) @$\rightarrow$@ t
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63 clearSingleLinkedStack stack next = next (record {top = Nothing})
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