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
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
|
\documentclass{article}
\usepackage{axiom}
\title{\File{src/interp/g-boot.boot} Pamphlet}
\author{The Axiom Team}
\begin{document}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\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>>
import '"def"
import '"g-util"
)package "BOOT"
-- @(#)g-boot.boot 2.2 89/11/02 14:44:09
--% BOOT to LISP Translation
-- these supplement those in DEF and MACRO LISP
--% Utilities
$LET := 'SPADLET -- LET is a standard macro in Common Lisp
nakedEXIT? c ==
ATOM c => NIL
[a,:d] := c
IDENTP a =>
a = 'EXIT => true
a = 'QUOTE => NIL
MEMQ(a,'(SEQ PROG LAMBDA MLAMBDA LAM)) => NIL
nakedEXIT?(d)
nakedEXIT?(a) or nakedEXIT?(d)
mergeableCOND x ==
ATOM(x) or x isnt ['COND,:cls] => NIL
-- to be mergeable, every result must be an EXIT and the last
-- predicate must be a pair
ok := true
while (cls and ok) repeat
[[p,:r],:cls] := cls
PAIRP QCDR r => ok := NIL
CAR(r) isnt ['EXIT,.] => ok := NIL
NULL(cls) and ATOM(p) => ok := NIL
NULL(cls) and (p = ''T) => ok := NIL
ok
mergeCONDsWithEXITs l ==
-- combines things like
-- (COND (foo (EXIT a)))
-- (COND (bar (EXIT b)))
-- into one COND
NULL l => NIL
ATOM l => l
NULL PAIRP QCDR l => l
a := QCAR l
if a is ['COND,:.] then a := flattenCOND a
am := mergeableCOND a
CDR(l) is [b,:k] and am and mergeableCOND(b) =>
b:= flattenCOND b
c := ['COND,:QCDR a,:QCDR b]
mergeCONDsWithEXITs [flattenCOND c,:k]
CDR(l) is [b] and am =>
[removeEXITFromCOND flattenCOND ['COND,:QCDR a,[''T,b]]]
[a,:mergeCONDsWithEXITs CDR l]
removeEXITFromCOND? c ==
-- c is '(COND ...)
-- only can do it if every clause simply EXITs
ok := true
c := CDR c
while ok and c repeat
[[p,:r],:c] := c
nakedEXIT? p => ok := NIL
[:f,r1] := r
nakedEXIT? f => ok := NIL
r1 isnt ['EXIT,r2] => ok := NIL
nakedEXIT? r2 => ok := NIL
ok
removeEXITFromCOND c ==
-- c is '(COND ...)
z := NIL
for cl in CDR c repeat
ATOM cl => z := CONS(cl,z)
cond := QCAR cl
length1? cl =>
PAIRP(cond) and EQCAR(cond,'EXIT) =>
z := CONS(QCDR cond,z)
z := CONS(cl,z)
cl' := REVERSE cl
lastSE := QCAR cl'
ATOM lastSE => z := CONS(cl,z)
EQCAR(lastSE,'EXIT) =>
z := CONS(REVERSE CONS(CADR lastSE,CDR cl'),z)
z := CONS(cl,z)
CONS('COND,NREVERSE z)
flattenCOND body ==
-- transforms nested COND clauses to flat ones, if possible
body isnt ['COND,:.] => body
['COND,:extractCONDClauses body]
extractCONDClauses clauses ==
-- extracts nested COND clauses into a flat structure
clauses is ['COND, [pred1,:act1],:restClauses] =>
if act1 is [['PROGN,:acts]] then act1 := acts
restClauses is [[''T,restCond]] =>
[[pred1,:act1],:extractCONDClauses restCond]
[[pred1,:act1],:restClauses]
[[''T,clauses]]
--% COND and IF
bootIF c ==
-- handles IF expressions by turning them into CONDs
c is [.,p,t] => bootCOND ['COND,[p,t]]
[.,p,t,e] := c
bootCOND ['COND,[p,t],[''T,e]]
bootCOND c ==
-- handles COND expressions: c is ['COND,:.]
cls := CDR c
NULL cls => NIL
cls is [[''T,r],:.] => r
[:icls,fcls] := cls
ncls := NIL
for cl in icls repeat
[p,:r] := cl
ncls :=
r is [['PROGN,:r1]] => CONS([p,:r1],ncls)
CONS(cl,ncls)
fcls := bootPushEXITintoCONDclause fcls
ncls :=
fcls is [''T,['COND,:mcls]] =>
APPEND(REVERSE mcls,ncls)
fcls is [''T,['PROGN,:mcls]] =>
CONS([''T,:mcls],ncls)
CONS(fcls,ncls)
['COND,:REVERSE ncls]
bootPushEXITintoCONDclause e ==
e isnt [''T,['EXIT,['COND,:cls]]] => e
ncls := NIL
for cl in cls repeat
[p,:r] := cl
ncls :=
r is [['EXIT,:.]] => CONS(cl,ncls)
r is [r1] => CONS([p,['EXIT,r1]],ncls)
CONS([p,['EXIT,bootTran ['PROGN,:r]]],ncls)
[''T,['COND,:NREVERSE ncls]]
--% SEQ and PROGN
-- following is a more sophisticated def than that in MACRO LISP
-- it is used for boot code
tryToRemoveSEQ e ==
-- returns e if unsuccessful
e isnt ['SEQ,cl,:cls] => NIL
nakedEXIT? cl =>
cl is ['COND,[p,['EXIT,r]],:ccls] =>
nakedEXIT? p or nakedEXIT? r => e
null ccls =>
bootCOND ['COND,[p,r],[''T,bootSEQ ['SEQ,:cls]]]
bootCOND ['COND,[p,r],[''T,bootSEQ ['SEQ,['COND,:ccls],:cls]]]
e
bootPROGN ['PROGN,cl,bootSEQ ['SEQ,:cls]]
bootAbsorbSEQsAndPROGNs e ==
-- assume e is a list from a SEQ or a PROGN
ATOM e => e
[:cls,lcl] := e
g := [:flatten(f) for f in cls] where
flatten x ==
NULL x => NIL
IDENTP x =>
MEMQ(x,$labelsForGO) => [x]
NIL
ATOM x => NIL
x is ['PROGN,:pcls,lpcl] =>
ATOM lpcl => pcls
CDR x
-- next usually comes about from if foo then bar := zap
x is ['COND,y,[''T,'NIL]] => [['COND,y]]
[x]
while lcl is ['EXIT,f] repeat
lcl := f
lcl is ['PROGN,:pcls] => APPEND(g,pcls)
lcl is ['COND,[''T,:pcls]] => APPEND(g,pcls)
lcl is ['COND,[pred,['EXIT,h]]] =>
APPEND(g,[['COND,[pred,h]]])
APPEND(g,[lcl])
bootSEQ e ==
e := ['SEQ,:mergeCONDsWithEXITs bootAbsorbSEQsAndPROGNs CDR e]
if e is [.,:cls,lcl] and IDENTP lcl and not MEMQ(lcl,$labelsForGO) then
e := ['SEQ,:cls,['EXIT,lcl]]
cls := QCDR e
cls is [['SEQ,:.]] => tryToRemoveSEQ QCAR cls
cls is [['EXIT,body]] =>
nakedEXIT? body => bootTran ['SEQ,body]
body
not (nakedEXIT?(cls) or "or"/[MEMQ(g,$labelsForGO) for g in cls]) =>
bootTran ['PROGN,:cls]
e is ['SEQ,['COND,[pred,['EXIT,r1]]],:r2] =>
nakedEXIT?(pred) or nakedEXIT?(r1) or nakedEXIT?(r2) =>
tryToRemoveSEQ e
bootTran ['COND,[pred,r1],[''T,:r2]]
tryToRemoveSEQ e
bootPROGN e ==
e := ['PROGN,:bootAbsorbSEQsAndPROGNs CDR e]
[.,:cls] := e
NULL cls => NIL
cls is [body] => body
e
--% LET
defLetForm(lhs,rhs) ==
--if functionp lhs then
-- sayMSG ['"Danger: Reassigning value to LISP function:",:bright lhs]
[$LET,lhs,rhs]
defLET1(lhs,rhs) ==
IDENTP lhs => defLetForm(lhs,rhs)
lhs is ['FLUID,id] => defLetForm(lhs,rhs)
IDENTP rhs and not CONTAINED(rhs,lhs) =>
rhs' := defLET2(lhs,rhs)
EQCAR(rhs',$LET) => MKPROGN [rhs',rhs]
EQCAR(rhs','PROGN) => APPEND(rhs',[rhs])
if IDENTP CAR rhs' then rhs' := CONS(rhs',NIL)
MKPROGN [:rhs',rhs]
PAIRP(rhs) and EQCAR(rhs, $LET) and IDENTP(name := CADR rhs) =>
-- handle things like [a] := x := foo
l1 := defLET1(name,CADDR rhs)
l2 := defLET1(lhs,name)
EQCAR(l2,'PROGN) => MKPROGN [l1,:CDR l2]
if IDENTP CAR l2 then l2 := cons(l2,nil)
MKPROGN [l1,:l2,name]
g := INTERN STRCONC('"LETTMP#",STRINGIMAGE $letGenVarCounter)
$letGenVarCounter := $letGenVarCounter + 1
rhs' := [$LET,g,rhs]
let' := defLET1(lhs,g)
EQCAR(let','PROGN) => MKPROGN [rhs',:CDR let']
if IDENTP CAR let' then let' := CONS(let',NIL)
MKPROGN [rhs',:let',g]
defLET2(lhs,rhs) ==
IDENTP lhs => defLetForm(lhs,rhs)
NULL lhs => NIL
lhs is ['FLUID,id] => defLetForm(lhs,rhs)
lhs is [=$LET,a,b] =>
a := defLET2(a,rhs)
null (b := defLET2(b,rhs)) => a
ATOM b => [a,b]
PAIRP QCAR b => CONS(a,b)
[a,b]
lhs is ['CONS,var1,var2] =>
var1 = "." or (PAIRP(var1) and EQCAR(var1,'QUOTE)) =>
defLET2(var2,addCARorCDR('CDR,rhs))
l1 := defLET2(var1,addCARorCDR('CAR,rhs))
MEMQ(var2,'(NIL _.)) => l1
if PAIRP l1 and ATOM CAR l1 then l1 := cons(l1,nil)
IDENTP var2 =>
[:l1,defLetForm(var2,addCARorCDR('CDR,rhs))]
l2 := defLET2(var2,addCARorCDR('CDR,rhs))
if PAIRP l2 and ATOM CAR l2 then l2 := cons(l2,nil)
APPEND(l1,l2)
lhs is ['APPEND,var1,var2] =>
patrev := defISReverse(var2,var1)
rev := ['REVERSE,rhs]
g := INTERN STRCONC('"LETTMP#",STRINGIMAGE $letGenVarCounter)
$letGenVarCounter := $letGenVarCounter + 1
l2 := defLET2(patrev,g)
if PAIRP l2 and ATOM CAR l2 then l2 := cons(l2,nil)
var1 = "." => [[$LET,g,rev],:l2]
last l2 is [=$LET, =var1, val1] =>
[[$LET,g,rev],:REVERSE CDR REVERSE l2,
defLetForm(var1,['NREVERSE,val1])]
[[$LET,g,rev],:l2,defLetForm(var1,['NREVERSE,var1])]
lhs is ['EQUAL,var1] =>
['COND,[['EQUAL,var1,rhs],var1]]
-- let the IS code take over from here
isPred :=
$inDefIS => defIS1(rhs,lhs)
defIS(rhs,lhs)
['COND,[isPred,rhs]]
defLET(lhs,rhs) ==
$letGenVarCounter : local := 1
$inDefLET : local := true
defLET1(lhs,rhs)
addCARorCDR(acc,expr) ==
NULL PAIRP expr => [acc,expr]
acc = 'CAR and EQCAR(expr,'REVERSE) =>
cons('last,QCDR expr)
funs := '(CAR CDR CAAR CDAR CADR CDDR CAAAR CADAR CAADR CADDR
CDAAR CDDAR CDADR CDDDR)
p := position(QCAR expr,funs)
p = -1 => [acc,expr]
funsA := '(CAAR CADR CAAAR CADAR CAADR CADDR CAAAAR CAADAR CAAADR
CAADDR CADAAR CADDAR CADADR CADDDR)
funsR := '(CDAR CDDR CDAAR CDDAR CDADR CDDDR CDAAAR CDADAR CDAADR
CDADDR CDDAAR CDDDAR CDDADR CDDDDR)
if acc = 'CAR then CONS(funsA.p,QCDR expr)
else CONS(funsR.p,QCDR expr)
--% IS
defISReverse(x,a) ==
-- reverses forms coming from APPENDs in patterns
-- pretty much just a translation of DEF-IS-REV
x is ['CONS,:.] =>
NULL CADDR x => ['CONS,CADR x, a]
y := defISReverse(CADDR x, NIL)
RPLAC(CADDR y,['CONS,CADR x,a])
y
ERRHUH()
defIS1(lhs,rhs) ==
NULL rhs =>
['NULL,lhs]
STRINGP rhs =>
['EQ,lhs,['QUOTE,INTERN rhs]]
NUMBERP rhs =>
['EQUAL,lhs,rhs]
ATOM rhs =>
['PROGN,defLetForm(rhs,lhs),''T]
rhs is ['QUOTE,a] =>
IDENTP a => ['EQ,lhs,rhs]
['EQUAL,lhs,rhs]
rhs is [=$LET,c,d] =>
l :=
$inDefLET => defLET1(c,lhs)
defLET(c,lhs)
['AND,defIS1(lhs,d),MKPROGN [l,''T]]
rhs is ['EQUAL,a] =>
['EQUAL,lhs,a]
PAIRP lhs =>
g := INTERN STRCONC('"ISTMP#",STRINGIMAGE $isGenVarCounter)
$isGenVarCounter := $isGenVarCounter + 1
MKPROGN [[$LET,g,lhs],defIS1(g,rhs)]
rhs is ['CONS,a,b] =>
a = "." =>
NULL b =>
['AND,['PAIRP,lhs],
['EQ,['QCDR,lhs],'NIL]]
['AND,['PAIRP,lhs],
defIS1(['QCDR,lhs],b)]
NULL b =>
['AND,['PAIRP,lhs],
['EQ,['QCDR,lhs],'NIL],_
defIS1(['QCAR,lhs],a)]
b = "." =>
['AND,['PAIRP,lhs],defIS1(['QCAR,lhs],a)]
a1 := defIS1(['QCAR,lhs],a)
b1 := defIS1(['QCDR,lhs],b)
a1 is ['PROGN,c,''T] and b1 is ['PROGN,:cls] =>
['AND,['PAIRP,lhs],MKPROGN [c,:cls]]
['AND,['PAIRP,lhs],a1,b1]
rhs is ['APPEND,a,b] =>
patrev := defISReverse(b,a)
g := INTERN STRCONC('"ISTMP#",STRINGIMAGE $isGenVarCounter)
$isGenVarCounter := $isGenVarCounter + 1
rev := ['AND,['PAIRP,lhs],['PROGN,[$LET,g,['REVERSE,lhs]],''T]]
l2 := defIS1(g,patrev)
if PAIRP l2 and ATOM CAR l2 then l2 := cons(l2,nil)
a = "." => ['AND,rev,:l2]
['AND,rev,:l2,['PROGN,defLetForm(a,['NREVERSE,a]),''T]]
SAY '"WARNING (defIS1): possibly bad IS code being generated"
DEF_-IS [lhs,rhs]
defIS(lhs,rhs) ==
$isGenVarCounter : local := 1
$inDefIS : local := true
defIS1(DEFTRAN lhs,rhs)
--% OR and AND
bootOR e ==
-- flatten any contained ORs.
cls := CDR e
NULL cls => NIL
NULL CDR cls => CAR cls
ncls := [:flatten(c) for c in cls] where
flatten x ==
x is ['OR,:.] => QCDR x
[x]
['OR,:ncls]
bootAND e ==
-- flatten any contained ANDs.
cls := CDR e
NULL cls => 'T
NULL CDR cls => CAR cls
ncls := [:flatten(c) for c in cls] where
flatten x ==
x is ['AND,:.] => QCDR x
[x]
['AND,:ncls]
--% Main Transformation Functions
bootLabelsForGO e ==
ATOM e => NIL
[head,:tail] := e
IDENTP head =>
head = 'GO => $labelsForGO := CONS(CAR tail,$labelsForGO)
head = 'QUOTE => NIL
bootLabelsForGO tail
bootLabelsForGO head
bootLabelsForGO tail
bootTran e ==
ATOM e => e
[head,:tail] := e
head = 'QUOTE => e
tail := [bootTran t for t in tail]
e := [head,:tail]
IDENTP head =>
head = 'IF => bootIF e
head = 'COND => bootCOND e
head = 'PROGN => bootPROGN e
head = 'SEQ => bootSEQ e
head = 'OR => bootOR e
head = 'AND => bootAND e
e
[bootTran head,:QCDR e]
bootTransform e ==
--NULL $BOOT => e
$labelsForGO : local := NIL
bootLabelsForGO e
bootTran e
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
|