queue.ml
| @@ -17,33 +17,32 @@ functor HoodMelvilleQueue () : QUEUE = | |||
| 17 | 17 | struct | |
| 18 | 18 | ||
| 19 | 19 | datatype 'a Queue = | |
| 20 | - | Simple of | |
| 21 | - | {front : 'a list, | |
| 22 | - | rear : 'a list, | |
| 23 | - | diff : int} (* diff = length front - length rear *) | |
| 20 | + | Simple of | |
| 21 | + | { front : 'a list, | |
| 22 | + | rear : 'a list, | |
| 23 | + | diff : int} (* diff = length front - length rear *) | |
| 24 | 24 | ||
| 25 | 25 | | Copy1 of (* in process of reversing f and r *) | |
| 26 | - | { oldfront : 'a list, | |
| 27 | - | rear : 'a list, | |
| 28 | - | f : 'a list, | |
| 26 | + | { oldfront : 'a list, | |
| 27 | + | rear : 'a list, | |
| 28 | + | f : 'a list, | |
| 29 | 29 | r : 'a list, | |
| 30 | 30 | frev : 'a list, | |
| 31 | 31 | rrev : 'a list, (* the partial new front *) | |
| 32 | - | diff : int, (* diff = length rrev - length rear *) | |
| 33 | - | copy : int} (* copy = # of valid elements in frev *) | |
| 32 | + | diff : int, (* diff = length rrev - length rear *) | |
| 33 | + | copy : int} (* copy = # of valid elements in frev *) | |
| 34 | 34 | ||
| 35 | 35 | | Copy2 of (* in process of reversing frev onto newfront *) | |
| 36 | - | { oldfront : 'a list, | |
| 37 | - | rear : 'a list, | |
| 36 | + | { oldfront : 'a list, | |
| 37 | + | rear : 'a list, | |
| 38 | 38 | frev : 'a list, | |
| 39 | 39 | newfront : 'a list, | |
| 40 | - | diff : int, (* diff = length newfront - length rear *) | |
| 41 | - | copy : int} (* copy = # of valid elements in frev *) | |
| 42 | - | ||
| 40 | + | diff : int, (* diff = length newfront - length rear *) | |
| 41 | + | copy : int} (* copy = # of valid elements in frev *) | |
| 43 | 42 | ||
| 44 | 43 | (* begin process of moving elements from rear to front *) | |
| 45 | 44 | fun rotate (front,rear) = (* length rear = length front + 1 *) | |
| 46 | - | Copy1 { oldfront = front | |
| 45 | + | Copy1 { oldfront = front | |
| 47 | 46 | , rear = [] | |
| 48 | 47 | , f = front | |
| 49 | 48 | , r = rear | |
| @@ -54,7 +53,7 @@ struct | |||
| 54 | 53 | ||
| 55 | 54 | (* do one step in process of moving elements from rear to front *) | |
| 56 | 55 | fun tick (Copy1 {oldfront, rear, f=x::f, r=y::r, frev, rrev, diff, copy}) = | |
| 57 | - | Copy1 { oldfront = oldfront | |
| 56 | + | Copy1 { oldfront = oldfront | |
| 58 | 57 | , rear = rear | |
| 59 | 58 | , f = f | |
| 60 | 59 | , r = r | |
| @@ -63,24 +62,24 @@ struct | |||
| 63 | 62 | , diff = diff + 1 | |
| 64 | 63 | , copy = copy + 1 } | |
| 65 | 64 | | tick (Copy1 {oldfront, rear, f=[], r=[y], frev, rrev, diff, copy}) = | |
| 66 | - | Copy2 { oldfront = oldfront | |
| 65 | + | Copy2 { oldfront = oldfront | |
| 67 | 66 | , rear = rear | |
| 68 | 67 | , frev = frev | |
| 69 | 68 | , newfront = y::rrev | |
| 70 | 69 | , diff = diff + 1 | |
| 71 | 70 | , copy = copy } | |
| 72 | 71 | | tick (Copy2 {oldfront, rear, newfront, diff, copy = 0, frev}) = | |
| 73 | - | Simple { front = newfront | |
| 72 | + | Simple { front = newfront | |
| 74 | 73 | , rear = rear | |
| 75 | 74 | , diff = diff | |
| 76 | 75 | } | |
| 77 | 76 | | tick (Copy2 {oldfront, rear, newfront, diff, copy = 1, frev = x::_}) = | |
| 78 | - | Simple { front = x::newfront | |
| 77 | + | Simple { front = x::newfront | |
| 79 | 78 | , rear = rear | |
| 80 | 79 | , diff = diff + 1 | |
| 81 | 80 | } | |
| 82 | 81 | | tick (Copy2 {oldfront, rear, newfront, diff, copy, frev = x::frev}) = | |
| 83 | - | Copy2 { oldfront = oldfront | |
| 82 | + | Copy2 { oldfront = oldfront | |
| 84 | 83 | , rear = rear | |
| 85 | 84 | , newfront = x::newfront | |
| 86 | 85 | , frev = frev | |
| @@ -103,14 +102,14 @@ struct | |||
| 103 | 102 | | size (Copy1 {rear,diff,copy,f,r,...}) = | |
| 104 | 103 | 2 * length rear + diff + copy + length f + length r | |
| 105 | 104 | | size (Copy2 {rear,diff,copy,...}) = | |
| 106 | - | 2 * length rear + diff + copy | |
| 105 | + | 2 * length rear + diff + copy | |
| 107 | 106 | ||
| 108 | 107 | fun insert (x, Simple {front, rear, diff = 0}) = | |
| 109 | - | tick2 (rotate (front, x::rear)) | |
| 108 | + | tick2 (rotate (front, x::rear)) | |
| 110 | 109 | | insert (x, Simple { front, rear, diff }) = | |
| 111 | - | Simple { front = front, rear = x::rear, diff = diff - 1 } | |
| 110 | + | Simple { front = front, rear = x::rear, diff = diff - 1 } | |
| 112 | 111 | | insert (x, Copy1 { oldfront, rear, f, r, frev, rrev, diff, copy }) = | |
| 113 | - | tick2 (Copy1 { oldfront = oldfront | |
| 112 | + | tick2 (Copy1 { oldfront = oldfront | |
| 114 | 113 | , rear = x::rear | |
| 115 | 114 | , f = f | |
| 116 | 115 | , r = r | |
| @@ -119,7 +118,7 @@ struct | |||
| 119 | 118 | , diff = diff-1 | |
| 120 | 119 | , copy = copy }) | |
| 121 | 120 | | insert (x, Copy2 {oldfront, rear, frev, newfront, diff, copy}) = | |
| 122 | - | tick2 (Copy2 { oldfront = oldfront | |
| 121 | + | tick2 (Copy2 { oldfront = oldfront | |
| 123 | 122 | , rear = x::rear | |
| 124 | 123 | , frev = frev | |
| 125 | 124 | , newfront = newfront | |
| @@ -128,11 +127,11 @@ struct | |||
| 128 | 127 | ||
| 129 | 128 | fun remove (Simple {front = [], ...}) = raise Empty | |
| 130 | 129 | | remove (Simple {front = x::front, rear, diff = 0}) = | |
| 131 | - | (x, tick2 (rotate (front, rear))) | |
| 130 | + | (x, tick2 (rotate (front, rear))) | |
| 132 | 131 | | remove (Simple {front = x::front, rear, diff}) = | |
| 133 | - | (x, Simple {front = front, rear = rear, diff = diff - 1}) | |
| 132 | + | (x, Simple {front = front, rear = rear, diff = diff - 1}) | |
| 134 | 133 | | remove (Copy1 {oldfront = x::oldfront, rear, f, r, frev, rrev, diff, copy})= | |
| 135 | - | (x, tick2 (Copy1 { oldfront = oldfront | |
| 134 | + | (x, tick2 (Copy1 { oldfront = oldfront | |
| 136 | 135 | , rear = rear | |
| 137 | 136 | , f = f | |
| 138 | 137 | , r = r | |
| @@ -141,7 +140,7 @@ struct | |||
| 141 | 140 | , diff = diff | |
| 142 | 141 | , copy = copy - 1 } ) ) | |
| 143 | 142 | | remove (Copy2 {oldfront=x::oldfront,rear,frev,newfront,diff,copy})= | |
| 144 | - | (x, tick2 (Copy2 { oldfront = oldfront | |
| 143 | + | (x, tick2 (Copy2 { oldfront = oldfront | |
| 145 | 144 | , rear = rear | |
| 146 | 145 | , frev = frev | |
| 147 | 146 | , newfront = newfront | |
queue.ml
| @@ -118,7 +118,7 @@ struct | |||
| 118 | 118 | , rrev = rrev | |
| 119 | 119 | , diff = diff-1 | |
| 120 | 120 | , copy = copy }) | |
| 121 | - | | insert (x, Copy2 {oldfront,rear,frev,newfront,diff,copy}) = | |
| 121 | + | | insert (x, Copy2 {oldfront, rear, frev, newfront, diff, copy}) = | |
| 122 | 122 | tick2 (Copy2 { oldfront = oldfront | |
| 123 | 123 | , rear = x::rear | |
| 124 | 124 | , frev = frev | |
queue.ml(文件已创建)
| @@ -0,0 +1,153 @@ | |||
| 1 | + | (* Chris Okasaki | |
| 2 | + | School of Computer Science | |
| 3 | + | Carnegie Mellon University | |
| 4 | + | Pittsburgh, PA 15213 | |
| 5 | + | cokasaki@cs.cmu.edu *) | |
| 6 | + | ||
| 7 | + | functor HoodMelvilleQueue () : QUEUE = | |
| 8 | + | (* Alternative implementation of queues with O(1) worst-case *) | |
| 9 | + | (* performance. Provided for comparison. *) | |
| 10 | + | (* *) | |
| 11 | + | (* Taken from *) | |
| 12 | + | (* Hood and Melville *) | |
| 13 | + | (* "Real-time queue operations in pure Lisp" *) | |
| 14 | + | (* IPL 13(2) (Nov 1981), 50-53 *) | |
| 15 | + | (* *) | |
| 16 | + | (* Warning! Does not support insertf! *) | |
| 17 | + | struct | |
| 18 | + | ||
| 19 | + | datatype 'a Queue = | |
| 20 | + | Simple of | |
| 21 | + | {front : 'a list, | |
| 22 | + | rear : 'a list, | |
| 23 | + | diff : int} (* diff = length front - length rear *) | |
| 24 | + | ||
| 25 | + | | Copy1 of (* in process of reversing f and r *) | |
| 26 | + | { oldfront : 'a list, | |
| 27 | + | rear : 'a list, | |
| 28 | + | f : 'a list, | |
| 29 | + | r : 'a list, | |
| 30 | + | frev : 'a list, | |
| 31 | + | rrev : 'a list, (* the partial new front *) | |
| 32 | + | diff : int, (* diff = length rrev - length rear *) | |
| 33 | + | copy : int} (* copy = # of valid elements in frev *) | |
| 34 | + | ||
| 35 | + | | Copy2 of (* in process of reversing frev onto newfront *) | |
| 36 | + | { oldfront : 'a list, | |
| 37 | + | rear : 'a list, | |
| 38 | + | frev : 'a list, | |
| 39 | + | newfront : 'a list, | |
| 40 | + | diff : int, (* diff = length newfront - length rear *) | |
| 41 | + | copy : int} (* copy = # of valid elements in frev *) | |
| 42 | + | ||
| 43 | + | ||
| 44 | + | (* begin process of moving elements from rear to front *) | |
| 45 | + | fun rotate (front,rear) = (* length rear = length front + 1 *) | |
| 46 | + | Copy1 { oldfront = front | |
| 47 | + | , rear = [] | |
| 48 | + | , f = front | |
| 49 | + | , r = rear | |
| 50 | + | , frev = [] | |
| 51 | + | , rrev = [] | |
| 52 | + | , diff = 0 | |
| 53 | + | , copy = 0 } | |
| 54 | + | ||
| 55 | + | (* do one step in process of moving elements from rear to front *) | |
| 56 | + | fun tick (Copy1 {oldfront, rear, f=x::f, r=y::r, frev, rrev, diff, copy}) = | |
| 57 | + | Copy1 { oldfront = oldfront | |
| 58 | + | , rear = rear | |
| 59 | + | , f = f | |
| 60 | + | , r = r | |
| 61 | + | , frev = x::frev | |
| 62 | + | , rrev = y::rrev | |
| 63 | + | , diff = diff + 1 | |
| 64 | + | , copy = copy + 1 } | |
| 65 | + | | tick (Copy1 {oldfront, rear, f=[], r=[y], frev, rrev, diff, copy}) = | |
| 66 | + | Copy2 { oldfront = oldfront | |
| 67 | + | , rear = rear | |
| 68 | + | , frev = frev | |
| 69 | + | , newfront = y::rrev | |
| 70 | + | , diff = diff + 1 | |
| 71 | + | , copy = copy } | |
| 72 | + | | tick (Copy2 {oldfront, rear, newfront, diff, copy = 0, frev}) = | |
| 73 | + | Simple { front = newfront | |
| 74 | + | , rear = rear | |
| 75 | + | , diff = diff | |
| 76 | + | } | |
| 77 | + | | tick (Copy2 {oldfront, rear, newfront, diff, copy = 1, frev = x::_}) = | |
| 78 | + | Simple { front = x::newfront | |
| 79 | + | , rear = rear | |
| 80 | + | , diff = diff + 1 | |
| 81 | + | } | |
| 82 | + | | tick (Copy2 {oldfront, rear, newfront, diff, copy, frev = x::frev}) = | |
| 83 | + | Copy2 { oldfront = oldfront | |
| 84 | + | , rear = rear | |
| 85 | + | , newfront = x::newfront | |
| 86 | + | , frev = frev | |
| 87 | + | , diff = diff + 1 | |
| 88 | + | , copy = copy - 1 } | |
| 89 | + | | tick simpleq = simpleq | |
| 90 | + | ||
| 91 | + | fun tick2 q = tick (tick q) | |
| 92 | + | ||
| 93 | + | ||
| 94 | + | exception Empty | |
| 95 | + | ||
| 96 | + | val empty = Simple {front = [], rear = [], diff = 0} | |
| 97 | + | ||
| 98 | + | fun isempty (Simple {front = [], ...}) = true | |
| 99 | + | | isempty _ = false | |
| 100 | + | ||
| 101 | + | fun size (Simple {rear, diff, ...}) = | |
| 102 | + | 2 * length rear + diff | |
| 103 | + | | size (Copy1 {rear,diff,copy,f,r,...}) = | |
| 104 | + | 2 * length rear + diff + copy + length f + length r | |
| 105 | + | | size (Copy2 {rear,diff,copy,...}) = | |
| 106 | + | 2 * length rear + diff + copy | |
| 107 | + | ||
| 108 | + | fun insert (x, Simple {front, rear, diff = 0}) = | |
| 109 | + | tick2 (rotate (front, x::rear)) | |
| 110 | + | | insert (x, Simple { front, rear, diff }) = | |
| 111 | + | Simple { front = front, rear = x::rear, diff = diff - 1 } | |
| 112 | + | | insert (x, Copy1 { oldfront, rear, f, r, frev, rrev, diff, copy }) = | |
| 113 | + | tick2 (Copy1 { oldfront = oldfront | |
| 114 | + | , rear = x::rear | |
| 115 | + | , f = f | |
| 116 | + | , r = r | |
| 117 | + | , frev = frev | |
| 118 | + | , rrev = rrev | |
| 119 | + | , diff = diff-1 | |
| 120 | + | , copy = copy }) | |
| 121 | + | | insert (x, Copy2 {oldfront,rear,frev,newfront,diff,copy}) = | |
| 122 | + | tick2 (Copy2 { oldfront = oldfront | |
| 123 | + | , rear = x::rear | |
| 124 | + | , frev = frev | |
| 125 | + | , newfront = newfront | |
| 126 | + | , diff = diff - 1 | |
| 127 | + | , copy = copy}) | |
| 128 | + | ||
| 129 | + | fun remove (Simple {front = [], ...}) = raise Empty | |
| 130 | + | | remove (Simple {front = x::front, rear, diff = 0}) = | |
| 131 | + | (x, tick2 (rotate (front, rear))) | |
| 132 | + | | remove (Simple {front = x::front, rear, diff}) = | |
| 133 | + | (x, Simple {front = front, rear = rear, diff = diff - 1}) | |
| 134 | + | | remove (Copy1 {oldfront = x::oldfront, rear, f, r, frev, rrev, diff, copy})= | |
| 135 | + | (x, tick2 (Copy1 { oldfront = oldfront | |
| 136 | + | , rear = rear | |
| 137 | + | , f = f | |
| 138 | + | , r = r | |
| 139 | + | , frev = frev | |
| 140 | + | , rrev = rrev | |
| 141 | + | , diff = diff | |
| 142 | + | , copy = copy - 1 } ) ) | |
| 143 | + | | remove (Copy2 {oldfront=x::oldfront,rear,frev,newfront,diff,copy})= | |
| 144 | + | (x, tick2 (Copy2 { oldfront = oldfront | |
| 145 | + | , rear = rear | |
| 146 | + | , frev = frev | |
| 147 | + | , newfront = newfront | |
| 148 | + | , diff = diff | |
| 149 | + | , copy = copy - 1 } ) ) | |
| 150 | + | ||
| 151 | + | exception InsertfNotSupported | |
| 152 | + | fun insertf (_,_) = raise InsertfNotSupported | |
| 153 | + | end | |
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