1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
|
\documentclass{article}
\usepackage{open-axiom}
\begin{document}
\title{\$SPAD/src/algebra table.spad}
\author{Stephen M. Watt, Barry Trager}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{domain HASHTBL HashTable}
<<domain HASHTBL HashTable>>=
)abbrev domain HASHTBL HashTable
++ Author: Stephen M. Watt
++ Date Created: 1985
++ Date Last Updated: June 21, 1991
++ Basic Operations:
++ Related Domains: Table, EqTable, StringTable
++ Also See:
++ AMS Classifications:
++ Keywords:
++ Examples:
++ References:
++ Description:
++ This domain provides access to the underlying Lisp hash tables.
++ By varying the hashfn parameter, tables suited for different
++ purposes can be obtained.
HashTable(Key, Entry, hashfn): Exports == Implementation where
Key, Entry: SetCategory
hashfn: String -- Union("EQ", "EQL", "EQUAL", "UEQUAL", "CVEC", "ID")
Exports ==> TableAggregate(Key, Entry)
Implementation ==> add
import tableValue: (%,Key) -> Entry from Foreign Builtin
import tableLength: % -> NonNegativeInteger from Foreign Builtin
Pair ==> Record(key: Key, entry: Entry)
Ex ==> OutputForm
failMsg := GENSYM()$Lisp
t1 = t2 == %peq(t1,t2)$Foreign(Builtin)
keys t == HKEYS(t)$Lisp
# t == tableLength t
setelt(t, k, e) == %store(tableValue(t,k),e)$Foreign(Builtin)
remove!(k:Key, t:%) ==
r := HGET(t,k,failMsg)$Lisp
not %peq(r,failMsg)$Foreign(Builtin) =>
HREM(t, k)$Lisp
r pretend Entry
"failed"
empty() ==
hashTable(INTERN(hashfn)$Lisp)$Lisp
search(k:Key, t:%) ==
r := HGET(t, k, failMsg)$Lisp
not %peq(r,failMsg)$Foreign(Builtin) => r pretend Entry
"failed"
@
\section{domain INTABL InnerTable}
<<domain INTABL InnerTable>>=
)abbrev domain INTABL InnerTable
++ Author: Barry Trager
++ Date Created: 1992
++ Date Last Updated: Sept 15, 1992
++ Basic Operations:
++ Related Domains: HashTable, AssociationList, Table
++ Also See:
++ AMS Classifications:
++ Keywords:
++ Examples:
++ References:
++ Description:
++ This domain is used to provide a conditional "add" domain
++ for the implementation of \spadtype{Table}.
InnerTable(Key: SetCategory, Entry: SetCategory, addDom):Exports == Implementation where
addDom : TableAggregate(Key, Entry)
Exports ==> TableAggregate(Key, Entry)
Implementation ==> addDom
@
\section{domain TABLE Table}
<<domain TABLE Table>>=
)abbrev domain TABLE Table
++ Author: Stephen M. Watt, Barry Trager
++ Date Created: 1985
++ Date Last Updated: Sept 15, 1992
++ Basic Operations:
++ Related Domains: HashTable, EqTable, StringTable, AssociationList
++ Also See:
++ AMS Classifications:
++ Keywords:
++ Examples:
++ References:
++ Description:
++ This is the general purpose table type.
++ The keys are hashed to look up the entries.
++ This creates a \spadtype{HashTable} if equal for the Key
++ domain is consistent with Lisp EQUAL otherwise an
++ \spadtype{AssociationList}
Table(Key: SetCategory, Entry: SetCategory):Exports == Implementation where
Exports ==> TableAggregate(Key, Entry)
Implementation ==> InnerTable(Key, Entry,
if hashable(Key)$Lisp then HashTable(Key, Entry, "EQUAL")
else AssociationList(Key, Entry))
@
\section{domain EQTBL EqTable}
<<domain EQTBL EqTable>>=
)abbrev domain EQTBL EqTable
++ Author: Stephen M. Watt
++ Date Created:
++ Date Last Updated: June 21, 1991
++ Basic Operations:
++ Related Domains: HashTable, Table, StringTable
++ Also See:
++ AMS Classifications:
++ Keywords: equation
++ Examples:
++ References:
++ Description:
++ This domain provides tables where the keys are compared using
++ \spadfun{eq?}. Thus keys are considered equal only if they
++ are the same instance of a structure.
EqTable(Key: SetCategory, Entry: SetCategory) ==
HashTable(Key, Entry, "EQ")
@
\section{domain STRTBL StringTable}
<<domain STRTBL StringTable>>=
)abbrev domain STRTBL StringTable
++ Author: Stephen M. Watt
++ Date Created:
++ Date Last Updated: June 21, 1991
++ Basic Operations:
++ Related Domains: Table
++ Also See:
++ AMS Classifications:
++ Keywords: equation
++ Examples:
++ References:
++ Description:
++ This domain provides tables where the keys are strings.
++ A specialized hash function for strings is used.
StringTable(Entry: SetCategory) ==
HashTable(String, Entry, "EQUAL")
@
\section{domain GSTBL GeneralSparseTable}
<<domain GSTBL GeneralSparseTable>>=
)abbrev domain GSTBL GeneralSparseTable
++ Author: Stephen M. Watt
++ Date Created: 1986
++ Date Last Updated: June 21, 1991
++ Basic Operations:
++ Related Domains: Table
++ Also See:
++ AMS Classifications:
++ Keywords: equation
++ Examples:
++ References:
++ Description:
++ A sparse table has a default entry, which is returned if no other
++ value has been explicitly stored for a key.
GeneralSparseTable(Key, Entry, Tbl, dent): TableAggregate(Key, Entry) == Impl
where
Key, Entry: SetCategory
Tbl: TableAggregate(Key, Entry)
dent: Entry
Impl ==> Tbl add
Rep := Tbl
elt(t:%, k:Key) ==
(u := search(k, t)$Rep) case "failed" => dent
u::Entry
setelt(t:%, k:Key, e:Entry) ==
e = dent => (remove!(k, t); e)
setelt(t, k, e)$Rep
search(k:Key, t:%) ==
(u := search(k, t)$Rep) case "failed" => dent
u
@
\section{domain STBL SparseTable}
<<domain STBL SparseTable>>=
)abbrev domain STBL SparseTable
++ Author: Stephen M. Watt
++ Date Created: 1986
++ Date Last Updated: June 21, 1991
++ Basic Operations:
++ Related Domains: Table
++ Also See:
++ AMS Classifications:
++ Keywords: equation
++ Examples:
++ References:
++ Description:
++ A sparse table has a default entry, which is returned if no other
++ value has been explicitly stored for a key.
SparseTable(Key:SetCategory, Ent:SetCategory, dent:Ent) ==
GeneralSparseTable(Key, Ent, Table(Key, Ent), dent)
@
\section{License}
<<license>>=
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--All rights reserved.
--
--Redistribution and use in source and binary forms, with or without
--modification, are permitted provided that the following conditions are
--met:
--
-- - Redistributions of source code must retain the above copyright
-- notice, this list of conditions and the following disclaimer.
--
-- - Redistributions in binary form must reproduce the above copyright
-- notice, this list of conditions and the following disclaimer in
-- the documentation and/or other materials provided with the
-- distribution.
--
-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the
-- names of its contributors may be used to endorse or promote products
-- derived from this software without specific prior written permission.
--
--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
@
<<*>>=
<<license>>
<<domain HASHTBL HashTable>>
<<domain INTABL InnerTable>>
<<domain TABLE Table>>
<<domain EQTBL EqTable>>
<<domain STRTBL StringTable>>
<<domain GSTBL GeneralSparseTable>>
<<domain STBL SparseTable>>
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
|