Fix #4341: atan of complex bfloat calls rat
[maxima.git] / src / suprv1.lisp
blob493c2e66950f1613c72c2365fc9e8dc15439924d
1 ;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*- ;;;;
2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
3 ;;; The data in this file contains enhancements. ;;;;;
4 ;;; ;;;;;
5 ;;; Copyright (c) 1984,1987 by William Schelter,University of Texas ;;;;;
6 ;;; All rights reserved ;;;;;
7 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
9 (in-package :maxima)
11 ;; ** (c) Copyright 1982 Massachusetts Institute of Technology **
13 ;;note in converting this file (originally suprv.lisp) to common lisp
14 ;;for the lisp machine, I removed a lot of the old stuff which did not
15 ;;apply, and tried to eliminate any / quoting. Most of the relevant
16 ;;stuff is in system.lisp for the lispm and nil friends.--wfs
18 ;; It would probably be better to bind *print-base* and *read-base* as
19 ;; needed in various functions instead of doing it this way with
20 ;; *old-ibase* and *old-base*. There are already some cases where
21 ;; *print-base* is bound in various functions.
22 (defvar *old-ibase*)
23 (defvar *old-base*)
25 (eval-when
26 (:compile-toplevel :execute)
27 (setq *old-ibase* *read-base* *old-base* *print-base*)
28 (setq *read-base* 10. *print-base* 10.))
30 (declare-top (special errset
31 $features featurel
32 dispflag savefile
33 opers *ratweights
34 transp autoload))
36 (defvar thistime 0)
37 (defvar mcatch nil)
38 (defvar brklvl -1)
39 (defvar allbutl nil)
41 (defmvar $strdisp t)
43 (defmvar $grind nil
44 "When the variable 'grind' is 'true', the output of 'string' and
45 'stringout' has the same format as that of 'grind'; otherwise no
46 attempt is made to specially format the output of those functions.")
48 (defmvar $backtrace '$backtrace)
50 (defmvar $debugmode nil
51 "When 'debugmode' is 'true', Maxima will start the Maxima debugger
52 when a Maxima error occurs.
54 When 'debugmode' is 'lisp', Maxima will start the Lisp debugger when
55 a Maxima error occurs.
57 In either case, enabling 'debugmode' will not catch Lisp errors."
58 :properties ((assign 'debugmode1)))
60 (defmvar $poislim 5
61 "Determines the domain of the coefficients in the arguments of the
62 trig functions. The initial value of 5 corresponds to the interval
63 [-2^(5-1)+1,2^(5-1)], or [-15,16], but it can be set to [-2^(n-1)+1,
64 2^(n-1)]."
65 :properties ((assign 'poislim1)))
67 ;; This version of meval* makes sure, that the facts from the global variable
68 ;; *local-signs* are cleared with a call to clearsign. The facts are added by
69 ;; asksign and friends. The function meval* is only used for top level
70 ;; evaluations. For other cases the function meval can be used.
72 (defmvar $ratvarswitch t) ; If T, start an evaluation with a fresh list VARLIST.
74 (defun meval* (expr)
75 ;; Make sure that clearsign is called after the evaluation.
76 (unwind-protect
77 (let (*refchkl* *checkfactors*)
78 (if $ratvarswitch (setq varlist (cdr $ratvars)))
79 (meval expr))
80 ;; Clear the facts from asksign and friends.
81 (clearsign)))
83 (defun makelabel10 (x)
84 (let (*print-radix*
85 (*print-base* 10.))
86 ($concat '|| x $linenum)))
87 (defun makelabel (x)
88 (setq *linelabel* (makelabel10 x))
89 (unless $nolabels
90 (when (or (null (cdr $labels))
91 (when (member *linelabel* (cddr $labels) :test #'equal)
92 (setf $labels (delete *linelabel* $labels :count 1 :test #'eq)) t)
93 (not (eq *linelabel* (cadr $labels))))
94 (setq $labels (cons (car $labels) (cons *linelabel* (cdr $labels))))))
95 *linelabel*)
97 (defun printlabel ()
98 (mtell-open "(~A) " (subseq (print-invert-case *linelabel*) 1)))
100 (defun mexploden (x)
101 (let (*print-radix*
102 (*print-base* 10))
103 (exploden x)))
105 (defun addlabel (label)
106 (setq $labels (cons (car $labels) (cons label (delete label (cdr $labels) :count 1 :test #'eq)))))
108 (defun tyi* ()
109 (clear-input)
110 (do ((n (tyi) (tyi))) (nil)
111 (cond ((or (char= n #\newline) (and (> (char-code n) 31) (char/= n #\rubout)))
112 (return n))
113 ((char= n #\page) (format t "~|") (throw 'retry nil)))))
115 (defun continuep ()
116 (loop
117 (catch 'retry
118 (unwind-protect
119 (progn
120 (fresh-line)
121 (princ (break-prompt))
122 (finish-output)
123 (return (char= (tyi*) #\newline)))
124 (clear-input)))))
126 (defun checklabel (x) ; CHECKLABEL returns T iff label is not in use
127 (not (or $nolabels
128 (= $linenum 0)
129 (boundp (makelabel10 x)))))
131 (defun gctimep (timep tim)
132 (cond ((and (eq timep '$all) (not (zerop tim))) (princ (intl:gettext "Total time = ")) t)
133 (t (princ (intl:gettext "Time = ")) nil)))
135 ; Following GENERIC-AUTOLOAD is copied from orthopoly/orthopoly-init.lisp.
136 ; Previous version didn't take Clisp, CMUCL, or SBCL into account.
138 (defvar *autoloaded-files* ())
140 (defun generic-autoload (file &aux type)
141 (unless (member file *autoloaded-files* :test #'equal)
142 (push file *autoloaded-files*)
143 (setq file (pathname (cdr file)))
144 (setq type (pathname-type file))
145 (let ((bin-ext #+gcl "o"
146 #+cmu (c::backend-fasl-file-type c::*target-backend*)
147 #+clisp "fas"
148 #+allegro "fasl"
149 #+openmcl (pathname-type ccl::*.fasl-pathname*)
150 #+lispworks (pathname-type (compile-file-pathname "foo.lisp"))
151 #-(or gcl cmu clisp allegro openmcl lispworks) ""))
152 (if (member type (list bin-ext "lisp" "lsp") :test 'equalp)
153 (let ((*read-base* 10.)) #-sbcl (load file) #+sbcl (with-compilation-unit nil (load file)))
154 ($load file)))))
156 (defvar autoload 'generic-autoload)
158 (defun load-function (func mexprp) ; The dynamic loader
159 (declare (ignore mexprp))
160 (let ((file (get func 'autoload)))
161 (if file (funcall autoload (cons func file)))))
163 (defmspec $loadfile (form)
164 (loadfile (namestring (maxima-string (meval (cadr form)))) nil
165 (not (member $loadprint '(nil $autoload) :test #'equal))))
167 (defmfun $setup_autoload (filename &rest functions)
168 (let ((file ($file_search filename)))
169 (dolist (func functions)
170 (nonsymchk func '$setup_autoload)
171 (putprop (setq func ($verbify func)) file 'autoload)
172 (add2lnc func $props)))
173 '$done)
175 (defun dollarify (l)
176 (let ((errset t))
177 (cons '(mlist simp)
178 (mapcar #'(lambda (x)
179 (let (y)
180 (cond ((numberp x) x)
181 ((numberp (setq y (car (errset (readlist (mexploden x))))))
183 (t (makealias x)))))
184 l))))
186 (defun mfboundp (func)
187 (or (mgetl func '(mexpr mmacro))
188 (getl func '(translated-mmacro mfexpr* mfexpr*s))))
190 (defun loadfile (file findp printp)
191 (and findp (member $loadprint '(nil $loadfile) :test #'equal) (setq printp nil))
192 ;; Should really get the truename of FILE.
193 (if printp (format t (intl:gettext "loadfile: loading ~A.~%") file))
194 (let* ((path (pathname file))
195 (*package* (find-package :maxima))
196 ($load_pathname path)
197 (*read-base* 10.)
198 (tem (errset #-sbcl (load (pathname file)) #+sbcl (with-compilation-unit nil (load (pathname file))))))
199 (or tem (merror (intl:gettext "loadfile: failed to load ~A") (namestring path)))
200 (namestring path)))
202 (defmfun $directory (path)
203 (cons '(mlist) (mapcar 'namestring (directory ($filename_merge path)))))
205 (defmspec $kill (form)
206 (clear) ;; get assume db into consistent state
207 (mapc #'kill1 (cdr form))
208 '$done)
210 ;;; The following *builtin- variables are used to keep/restore builtin
211 ;;; symbols and values during kill operations. Their values are set at
212 ;;; the end of init-cl.lisp, after all symbols have been defined.
214 (defvar *builtin-symbols* nil)
215 (defvar *builtin-symbol-props* (make-hash-table))
216 (defvar *builtin-$props* nil)
217 (defvar *builtin-$rules* nil)
218 (defvar *builtin-symbols-with-values* nil)
219 (defvar *builtin-symbol-values* (make-hash-table))
221 (defun kill1-atom (x)
222 (let ((z (or (and (member x (cdr $aliases) :test #'equal) (get x 'noun)) (get x 'verb))))
223 (when (or (null allbutl) (not (member z allbutl :test #'equal)))
224 (remvalue x '$kill)
225 (mget x 'array)
226 (remcompary x)
227 (when (member x (cdr $contexts) :test #'equal)
228 ($killcontext x))
229 (when (mget x '$rule)
230 (let ((y (ruleof x)))
231 (cond (y ($remrule y x))
232 (t (when (not (member x *builtin-$rules* :test #'equal))
233 (fmakunbound x)
234 (setf $rules (delete x $rules :count 1 :test #'eq)))))))
235 (when (and (get x 'operators) (rulechk x))
236 ($remrule x '$all))
237 (when (mget x 'trace)
238 (macsyma-untrace x))
239 (when (get x 'translated)
240 (when (not (member x *builtin-symbols* :test #'equal))
241 (remove-transl-fun-props x)
242 (remove-transl-array-fun-props x)))
243 (when (not (get x 'sysconst))
244 (remprop x 'lineinfo)
245 (remprop x 'mprops))
246 (dolist (u '(bindtest nonarray evfun evflag opers special mode))
247 (remprop x u))
248 (dolist (u opers)
249 (when (and (remprop x u)
250 (let ((xopval (get x 'operators)))
251 (or (eq xopval 'simpargs1) (eq xopval nil))))
252 (remprop x 'operators)))
253 (when (member x (cdr $props) :test #'equal)
254 (remprop x 'sp2)
255 (killframe x)
256 (i-$remove (list x $features)))
257 (let ((y (get x 'op)))
258 (when (and y
259 (not (member y *mopl* :test #'equal))
260 (member y (cdr $props) :test #'equal))
261 (kill-operator x)))
262 (remalias x nil)
263 (setf $arrays (delete x $arrays :count 1 :test #'eq))
264 (rempropchk x)
265 (setf *autoloaded-files*
266 (delete (assoc x *autoloaded-files* :test #'eq) *autoloaded-files* :count 1 :test #'equal))
267 (setf $functions
268 (delete (assoc (ncons x) $functions :test #'equal) $functions :count 1 :test #'equal))
269 (setf $macros
270 (delete (assoc (ncons x) $macros :test #'equal) $macros :count 1 :test #'equal))
271 (let ((y (assoc (ncons x) $gradefs :test #'equal)))
272 (when y
273 (remprop x 'grad)
274 (setf $gradefs (delete y $gradefs :count 1 :test #'equal))))
275 (setf $dependencies
276 (delete (assoc (ncons x) $dependencies :test #'equal) $dependencies :count 1 :test #'equal))
277 (let ((y (assoc-if #'(lambda (e) (equal x (car e))) (cdr $structures))))
278 (when y
279 (remprop x 'dimension)
280 (remprop x 'defstruct-template)
281 (remprop x 'defstruct-default)
282 (remprop x 'translate)
283 (setf $structures (delete y $structures :count 1 :test #'equal))))
284 (when (and (member x *builtin-symbols* :test #'equal)
285 (gethash x *builtin-symbol-props*))
286 (setf (symbol-plist x)
287 (copy-tree (gethash x *builtin-symbol-props*))))
288 (when (member x *builtin-numeric-constants*)
289 (initialize-numeric-constant x)) ;; reset db value for $%pi, $%e, etc
290 (if z (kill1 z)))))
292 (defun kill1 (x)
293 (if (and (stringp x) (not (getopr0 x))) (return-from kill1 nil))
294 (funcall
295 #'(lambda (z)
296 (cond ((and allbutl (member x allbutl :test #'equal)))
297 ((eq (setq x (getopr x)) '$labels)
298 (dolist (u (cdr $labels))
299 (cond ((and allbutl (member u allbutl :test #'equal))
300 (setq z (nconc z (ncons u))))
301 (t (makunbound u) (remprop u 'time)
302 (remprop u 'nodisp))))
303 (setq $labels (cons '(mlist simp) z) $linenum 0))
304 ((member x '($values $arrays $aliases $rules $props
305 $let_rule_packages) :test #'equal)
306 (mapc #'kill1 (cdr (symbol-value x))))
307 ((member x '($functions $macros $gradefs $dependencies $structures) :test #'equal)
308 (mapc #'(lambda (y) (kill1 (caar y))) (cdr (symbol-value x))))
309 ((eq x '$myoptions))
310 ((eq x '$tellrats) (setq tellratlist nil))
311 ((eq x '$ratvars) (setq $ratvars '((mlist simp)) varlist nil))
312 ((eq x '$ratweights) (setq *ratweights nil
313 $ratweights '((mlist simp))))
314 ((eq x '$features)
315 (cond ((not (equal (cdr $features) featurel))
316 (setq $features (cons '(mlist simp) (copy-list featurel))))))
317 ((or (eq x t) (eq x '$all))
318 (mapc #'kill1 (cdr $infolists))
319 (setq $ratvars '((mlist simp)) varlist nil genvar nil
320 *checkfactors* nil greatorder nil lessorder nil $gensumnum 0
321 *ratweights nil $ratweights
322 '((mlist simp))
323 tellratlist nil $dontfactor '((mlist)) $setcheck nil)
324 (killallcontexts))
325 ((setq z (assoc x '(($inlabels . $inchar) ($outlabels . $outchar) ($linelabels . $linechar)) :test #'eq))
326 (mapc #'(lambda (y) (remvalue y '$kill))
327 (getlabels* (eval (cdr z)) nil)))
328 ((and (fixnump x) (>= x 0)) (remlabels x))
329 ((atom x) (kill1-atom x))
330 ((and (eq (caar x) 'mlist) (fixnump (cadr x))
331 (or (and (null (cddr x))
332 (setq x (append x (ncons (cadr x)))))
333 (and (fixnump (caddr x))
334 (not (> (cadr x) (caddr x))))))
335 (let (($linenum (caddr x))) (remlabels (- (caddr x) (cadr x)))))
336 ((setq z (mgetl (caar x) '(hashar array))) (remarrelem z x))
337 ((and ($subvarp x)
338 (boundp (caar x))
339 (hash-table-p (setq z (symbol-value (caar x)))))
340 ; Evaluate the subscripts (as is done in ARRSTORE)
341 (let ((indices (mevalargs (cdr x))))
342 (if (gethash 'dim1 z)
343 (remhash (car indices) z)
344 (remhash indices z))))
345 ((eq (caar x) '$@) (mrecord-kill x))
346 ((and (eq (caar x) '$allbut)
347 (not (dolist (u (cdr x))
348 (if (not (symbolp u)) (return t)))))
349 (let ((allbutl (cdr x))) (kill1 t)))
350 (t (improper-arg-err x '$kill))))
351 nil))
354 (defun remlabels (n)
355 (prog (l x)
356 (setq l (list (exploden $inchar)
357 (exploden $outchar)
358 (exploden $linechar)))
359 loop (setq x (mexploden $linenum))
360 (do ((l l (cdr l)))
361 ((null l))
362 (remvalue (implode (append (car l) x)) '$kill))
363 (if (or (minusp (setq n (1- n))) (= $linenum 0)) (return nil))
364 (decf $linenum)
365 (go loop)))
367 (defun remvalue (x fn)
368 (cond ((not (symbolp x)) (improper-arg-err x fn))
369 ((boundp x)
370 (let (y)
371 (cond ((or (setq y (member x (cdr $values) :test #'equal))
372 (member x (cdr $labels) :test #'equal))
373 (cond (y (setf $values (delete x $values :count 1 :test #'eq)))
374 (t (setf $labels (delete x $labels :count 1 :test #'eq))
375 (remprop x 'time) (remprop x 'nodisp)))
376 (makunbound x)
377 (when (member x *builtin-symbols-with-values* :test #'equal)
378 (setf (symbol-value x)
379 (gethash x *builtin-symbol-values*)))
381 ((get x 'special)
382 (makunbound x)
383 (when (member x *builtin-symbols-with-values* :test #'equal)
384 (setf (symbol-value x)
385 (gethash x *builtin-symbol-values*)))
387 (transp (setf (symbol-value x) x) t)
388 ((eq x '$default_let_rule_package) t)
389 ;; Next case: X is bound to itself but X is not on values list.
390 ;; Translation code does that; I don't know why.
391 ;; Silently let it stand and hope it doesn't cause trouble.
392 ((eq (symbol-value x) x) t)
394 (mtell (intl:gettext "remvalue: ~M doesn't appear to be a known variable; just unbind it anyway.~%") x)
395 (makunbound x)
396 t))))))
398 (defun ruleof (rule)
399 (or (mget rule 'ruleof)
400 (let* ((pattern (cadr (mget rule '$rule)))
401 (op (if (atom pattern) nil (caar pattern))) l)
402 (and (setq l (get op 'rules))
403 (member rule l :test #'equal) op))))
405 (defmfun $debugmode (x)
406 (debugmode1 nil x)
407 (setq $debugmode x))
409 (defun debugmode1 (assign-var y)
410 ;; The user manual says $debugmode has one of three values: false
411 ;; (NIL), true (T), or lisp ($lisp). Enforce that.
412 (unless (member y '(nil t $lisp))
413 (mseterr assign-var y "Must be one of false, true, or lisp"))
414 (setq *mdebug* y))
416 (defun errlfun1 (mpdls)
417 (do ((l bindlist (cdr l))
418 (l1))
419 ((eq l (car mpdls)) (munbind l1))
420 (setq l1 (cons (car l) l1)))
421 (do ()
422 ((eq loclist (cdr mpdls)))
423 (munlocal)))
425 (defun getalias (x)
426 (cond ((get x 'alias))
427 ((eq x '$false) nil)
428 (t x)))
430 (defun makealias (x)
431 (implode (cons #\$ (exploden x))))
433 ;; (DEFMSPEC $F (FORM) (SETQ FORM (FEXPRCHECK FORM)) ...)
434 ;; makes sure that F was called with exactly one argument and
435 ;; returns that argument.
437 (defun fexprcheck (form)
438 (if (or (null (cdr form)) (cddr form))
439 (merror (intl:gettext "~:M: expected just one argument; found: ~M") (caar form) form)
440 (cadr form)))
442 (defun nonsymchk (x fn)
443 (unless (symbolp x)
444 (merror (intl:gettext "~:M: argument must be a symbol; found: ~M") fn x)))
446 (defmfun $print (&rest args)
447 (if (null args)
448 '((mlist simp))
449 (let ((l args) $stringdisp) ;; Don't print out strings with quotation marks!
450 (do ((l l (cddr l)))
451 ((null l))
452 (rplacd l (cons " " (cdr l))))
453 (displa (cons '(mtext) l))
454 (cadr (reverse l)))))
456 (defmspec $playback (x)
457 (setq x (cdr x))
458 (prog (l l1 l2 numbp slowp nostringp inputp timep grindp inchar largp)
459 (setq inchar (getlabcharn $inchar)) ; Only the 1st alphabetic char. of $INCHAR is tested
460 (setq timep $showtime grindp $grind)
461 (do ((x x (cdr x)))( (null x))
462 (cond ((fixnump (car x)) (setq numbp (car x)))
463 ((eq (car x) '$all))
464 ((eq (car x) '$slow) (setq slowp t))
465 ((eq (car x) '$nostring) (setq nostringp t))
466 ((eq (car x) '$grind) (setq grindp t))
467 ((eq (car x) '$input) (setq inputp t))
468 ((member (car x) '($showtime $time) :test #'equal) (setq timep (or timep t)))
469 ((member (car x) '($gctime $totaltime) :test #'equal) (setq timep '$all))
470 ((setq l2 (listargp (car x)))
471 (setq l1 (nconc l1 (getlabels (car l2) (cdr l2) nil)) largp t))
472 (t (improper-arg-err (car x) '$playback))))
473 (cond ((and largp (null numbp)) (go loop))
474 ((and (setq l (cdr $labels)) (not $nolabels)) (setq l (cdr l))))
475 (when (or (null numbp) (< (length l) numbp))
476 (setq l1 (reverse l)) (go loop))
477 (do ((i numbp (1- i)) (l2)) ((zerop i) (setq l1 (nconc l1 l2)))
478 (setq l2 (cons (car l) l2) l (cdr l)))
479 loop (if (null l1) (return '$done))
480 (let ((errset t)
481 (incharp (char= (getlabcharn (car l1)) inchar)))
482 (errset
483 (cond ((and (not nostringp) incharp)
484 (let ((*linelabel* (car l1))) (mterpri) (printlabel))
485 (if grindp
486 (mgrind (meval1 (car l1)) nil)
487 (mapc #'(lambda (x) (write-char x)) (mstring (meval1 (car l1))))) ;gcl doesn't like a
488 ; simple write-char, therefore wrapped it up in a lambda - are_muc
489 (if (get (car l1) 'nodisp) (princ "$") (princ ";"))
490 (mterpri))
491 ((or incharp
492 (prog2 (when (and timep (setq l (get (car l1) 'time)))
493 (setq x (gctimep timep (cdr l)))
494 (mtell (intl:gettext "~A seconds") (car l))
495 (if x (mtell (intl:gettext " GC time = ~A seconds") (cdr l)))
496 (mterpri))
497 (not (or inputp (get (car l1) 'nodisp)))))
498 (mterpri) (displa (list '(mlabel) (car l1) (meval1 (car l1)))))
499 (t (go a)))))
500 (when (and slowp (cdr l1) (not (continuep)))
501 (return '$terminated))
502 a (setq l1 (cdr l1))
503 (go loop)))
505 (defun listargp (x)
506 (let (high)
507 (if (and ($listp x) (fixnump (cadr x))
508 (or (and (null (cddr x)) (setq high (cadr x)))
509 (and (fixnump (setq high (caddr x)))
510 (not (> (cadr x) high)))))
511 (cons (cadr x) high))))
513 (defmspec $alias (form)
514 (if (oddp (length (setq form (cdr form))))
515 (merror (intl:gettext "alias: expected an even number of arguments.")))
516 (do ((l nil (cons (alias (pop form) (pop form))
517 l)))
518 ((null form)
519 `((mlist simp),@(nreverse l)))))
521 (defun alias (x y)
522 (cond ((nonsymchk x '$alias))
523 ((nonsymchk y '$alias))
524 ((eq x y) y) ; x is already the alias of y
525 ((get x 'reversealias)
526 (merror (intl:gettext "alias: ~M already has an alias.") x))
527 (t (putprop x y'alias)
528 (putprop y x 'reversealias)
529 (add2lnc y $aliases)
530 y)))
532 (defun remalias (x &optional remp)
533 (let ((y (and (or remp (member x (cdr $aliases) :test #'equal)) (get x 'reversealias))))
534 (cond ((and y (eq x '%derivative))
535 (remprop x 'reversealias)
536 (setf $aliases (delete x $aliases :count 1 :test #'eq))
537 (remprop '$diff 'alias) '$diff)
538 (y (remprop x 'reversealias)
539 (remprop x 'noun)
540 (setf $aliases (delete x $aliases :count 1 :test #'eq))
541 (remprop (setq x y) 'alias) (remprop x 'verb) x))))
543 (defun stripdollar (x)
544 (cond ((not (atom x))
545 (cond ((and (eq (caar x) 'bigfloat) (not (minusp (cadr x)))) (implode (fpformat x)))
546 (t (merror (intl:gettext "STRIPDOLLAR: argument must be an atom; found: ~M") x))))
547 ((numberp x) x)
548 ((null x) 'false)
549 ((eq x t) 'true)
550 ((member (get-first-char x) '(#\$ #\%) :test #'char=)
551 (intern (subseq (string x) 1)))
552 (t x)))
554 (defun fullstrip (x)
555 (mapcar #'fullstrip1 x))
557 (defun fullstrip1 (x)
558 (or (and (numberp x) x)
559 (let ((y (get x 'reversealias))) (if y (stripdollar y)))
560 (stripdollar x)))
562 (defun string* (x)
563 (or (and (numberp x) (exploden x))
564 (string*1 x)))
566 (defun string*1 (x)
567 (let ($stringdisp $lispdisp)
568 (makestring x)))
570 ;;; Note that this function had originally stripped a prefix of '|M|. This
571 ;;; was intended for operators such as 'MABS, but with the case flipping
572 ;;; performed by explodec this test would always fail. Dependent code has
573 ;;; been written assuming the '|M| prefix is not stripped so this test has
574 ;;; been disabled for now.
576 (defmfun $nounify (x)
577 (if (not (or (symbolp x) (stringp x)))
578 (merror (intl:gettext "nounify: argument must be a symbol or a string; found: ~M") x))
579 (setq x (amperchk x))
580 (cond ((get x 'verb))
581 ((get x 'noun) x)
583 (let* ((y (explodec x))
584 (u #+nil (member (car y) '($ |M| |m|) :test 'eq)
585 (eq (car y) '$)))
586 (cond ((or u (not (eq (car y) '%)))
587 (setq y (implode (cons '% (if u (cdr y) y))))
588 (putprop y x 'noun) (putprop x y 'verb))
589 (t x))))))
591 (defmfun $verbify (x)
592 (if (not (or (symbolp x) (stringp x)))
593 (merror (intl:gettext "verbify: argument must be a symbol or a string; found: ~M") x))
594 (setq x (amperchk x))
595 (cond ((get x 'noun))
596 ((eq x '||) x)
597 ((and (char= (char (symbol-name x) 0) #\%)
598 (prog2
599 ($nounify (implode (cons #\$ (cdr (exploden x)))))
600 (get x 'noun))))
601 (t x)))
603 (defmspec $string (form)
604 (let (($lispdisp t))
605 (setq form (strmeval (fexprcheck form)))
606 (setq form (if $grind (strgrind form) (mstring form)))
607 (coerce form 'string)))
609 (defun makstring (x)
610 (setq x (mstring x))
611 (do ((l x (cdr l)))
612 ((null l))
613 (rplaca l (ascii (car l))))
616 (defun strmeval (x)
617 (cond ((atom x) (meval1 x))
618 ((member (caar x) '(msetq mdefine mdefmacro) :test #'equal) x)
619 (t (meval x))))
622 (mapc #'(lambda (x) (putprop (car x) (cadr x) 'alias)
623 (putprop (cadr x) (car x) 'reversealias))
624 '(($block mprog) ($lambda lambda)
625 ($subst $substitute)
626 ($go mgo) ($signum %signum)
627 ($return mreturn) ($factorial mfactorial)
628 ($ibase *read-base*) ($obase *print-base*)
629 ($mode_declare $modedeclare)))
631 ;; Validate values assigned to $ibase and $obase, which are aliased to
632 ;; *read-base* and *print-base*, respectively, above.
633 (putprop '*read-base* #'(lambda (name val)
634 (unless (typep val '(integer 2 36))
635 (mseterr name val "must be an integer between 2 and 36, inclusive")))
636 'assign)
638 (putprop '*print-base* #'(lambda (name val)
639 (unless (typep val '(integer 2 36))
640 (mseterr name val "must be an integer between 2 and 36, inclusive")))
641 'assign)
643 (mapc #'(lambda (x) (putprop (car x) (cadr x) 'alias))
644 '(($ratcoeff $ratcoef) ($ratnum $ratnumer) ($true t)
645 ($derivative $diff) ($prod $product)
646 ($bothcoeff $bothcoef)))
648 (defun amperchk (name)
649 (cond
650 ((symbolp name) name)
651 ((stringp name)
652 (getalias (or (getopr0 name) (implode (cons #\$ (coerce name 'list))))))
653 (t name)))
655 (defmspec $stringout (x)
656 (setq x (cdr x))
657 (let*
658 ((file (namestring (maxima-string (meval (car x)))))
659 (filespec (if (or (eq $file_output_append '$true) (eq $file_output_append t))
660 `(savefile ,file :direction :output :if-exists :append :if-does-not-exist :create)
661 `(savefile ,file :direction :output :if-exists :supersede :if-does-not-exist :create))))
662 (setq x (cdr x))
663 (eval
664 `(let (maxima-error l1 truename)
665 (declare (special $grind $strdisp))
666 (with-open-file ,filespec
667 (cond ((null
668 (errset
669 (do ((l ',x (cdr l)))( (null l))
670 (cond ((member (car l) '($all $input) :test #'equal)
671 (setq l (nconc (getlabels* $inchar t) (cdr l))))
672 ((eq (car l) '$values)
673 (setq l (nconc (mapcan
674 #'(lambda (x)
675 (if (boundp x)
676 (ncons (list '(msetq) x (symbol-value x)))))
677 (cdr $values))
678 (cdr l))))
679 ((eq (car l) '$functions)
680 (setq l (nconc (mapcar
681 #'(lambda (x) (consfundef (caar x) nil nil))
682 (cdr $functions))
683 (mapcan
684 #'(lambda (x)
685 (if (mget x 'aexpr)
686 (ncons (consfundef x t nil))))
687 (cdr $arrays))
688 (mapcar
689 #'(lambda (x) (consfundef (caar x) nil nil))
690 (cdr $macros))
691 (cdr l))))
692 ((setq l1 (listargp (car l)))
693 (setq l (nconc (getlabels (car l1) (cdr l1) t) (cdr l)))))
694 (if (null l) (return nil))
695 (terpri savefile)
696 (if $grind (mgrind (strmeval (car l)) savefile)
697 (princ (print-invert-case (maknam (mstring (strmeval (car l)))))
698 savefile))
699 (if (or (and (symbolp (car l)) (get (car l) 'nodisp)) (not $strdisp))
700 (write-char #\$ savefile)
701 (write-char #\; savefile)))))
702 (setq maxima-error t)))
703 (setq truename (truename savefile))
704 (terpri savefile))
705 (if maxima-error (merror (intl:gettext "stringout: unspecified error.")))
706 (cl:namestring truename)))))
708 (defmfun $labels (label-prefix)
709 (nonsymchk label-prefix '$labels)
710 (cons '(mlist simp) (nreverse (getlabels* label-prefix nil))))
712 (defmfun $%th (x)
713 (prog (l outchar)
714 (if (or (not (fixnump x)) (zerop x))
715 (improper-arg-err x '$%th))
716 (if (> x 0) (setq x (- x)))
717 (if (cdr $labels)
718 (setq l (cddr $labels) outchar (getlabcharn $outchar)))
719 loop (if (null l) (merror (intl:gettext "%th: no such previous output: ~M") x))
720 (if (and (char= (getlabcharn (car l)) outchar) (= (setq x (1+ x)) 0))
721 ; Only the 1st alphabetic character of $OUTCHAR is tested.
722 (return (meval (car l))))
723 (setq l (cdr l))
724 (go loop)))
726 (defun getlabels (n1 n2 flag) ; FLAG = T for STRINGOUT, = NIL for PLAYBACK and SAVE.
727 (do ((i n1 (1+ i)) (l1)
728 (l (if flag (list (exploden $inchar))
729 (list (exploden $inchar) (exploden $linechar)
730 (exploden $outchar)))))
731 ((> i n2) (nreverse l1))
732 (do ((l l (cdr l)) (x (mexploden i)) (z)) ((null l))
733 (if (boundp (setq z (implode (append (car l) x))))
734 (setq l1 (cons z l1))))))
736 (defun getlabels* (label-prefix flag) ; FLAG = T only for STRINGOUT
737 (let*
738 ((label-prefix-name (symbol-name label-prefix))
739 (label-prefix-length (length label-prefix-name)))
740 (do ((l (if flag (cddr $labels) (cdr $labels)) (cdr l)) (l1))
741 ((null l) l1)
742 (let ((label-name-1 (symbol-name (car l))))
744 (and
745 (<= label-prefix-length (length label-name-1))
746 (string= label-name-1 label-prefix-name :end1 label-prefix-length))
747 (setq l1 (cons (car l) l1)))))))
749 (defun getlabcharn (label)
750 (let ((c (char (symbol-name label) 1)))
751 (if (char= c #\%)
752 (char (symbol-name label) 2)
753 c)))
755 ; Evaluate form while catching throws to some specific tags (called
756 ; "errcatch tags"). If no throw to an errcatch tag is caught, then
757 ; the values from form are returned. If a throw to an errcatch tag
758 ; is caught, then a Maxima error is signaled.
760 ; The errcatch tags are ERRORSW, MACSYMA-QUIT and RAT-ERR.
761 (defmacro with-errcatch-tag-$errors (form)
762 (let ((block-name (gensym)))
763 `(block ,block-name
764 ; RAT-ERROR-TO-MERROR will catch any throws to RAT-ERR and
765 ; call merror with a specific error message.
766 (catch 'macsyma-quit
767 (catch 'errorsw
768 (rat-error-to-merror
769 (return-from ,block-name ,form))))
770 ; If we're here, then we don't know any information about the
771 ; error, so just call MERROR with a vague error message. This
772 ; message will not be printed by MERROR, but it will be stored
773 ; in Maxima's error variable.
774 (with-$error
775 (merror (intl:gettext "An error was caught by errcatch."))))))
777 ; This is similar to the classic errset, but errcatch handles lisp and
778 ; Maxima errors.
779 (defmacro errcatch (form)
780 `(let ((errcatch (cons bindlist loclist))
781 (*mdebug* nil))
782 (declare (special errcatch))
783 (handler-case (list (with-errcatch-tag-$errors ,form))
784 (maxima-$error ()
785 ; If this was signaled by MERROR, then it has already handled
786 ; the setting of the error variable and the printing of any error
787 ; messages (as applicable).
789 ; If for some reason this wasn't signaled by MERROR, then it's the
790 ; signaler's responsibility to handle error messages.
792 ; Either way, we just need to clean up here.
793 (errlfun1 errcatch)
794 nil)
795 (error (e)
796 ; We store the error report message in the error variable and
797 ; print the message if errormsg is true. Then we clean up.
798 (setq $error (list '(mlist simp) (princ-to-string e)))
799 (when $errormsg
800 ($errormsg))
801 (errlfun1 errcatch)
802 nil))))
804 (defmspec $errcatch (form)
805 (cons '(mlist) (errcatch (mevaln (cdr form)))))
807 (defmacro mcatch (form)
808 `(let ((mcatch (cons bindlist loclist)))
809 (unwind-protect
810 (catch 'mcatch (rat-error-to-merror ,form))
811 (errlfun1 mcatch))))
813 (defmspec $catch (form)
814 (mcatch (mevaln (cdr form))))
816 (defmfun $throw (exp)
817 (if (null mcatch) (merror (intl:gettext "throw: not within 'catch'; expression: ~M") exp))
818 (throw 'mcatch exp))
820 (defmspec $time (l)
821 (setq l (cdr l))
822 (cons '(mlist simp)
823 (mapcar
824 #'(lambda (x)
825 (or (and (symbolp x)
826 (setq x (get x 'time))
827 (if (= (cdr x) 0)
828 (car x)
829 (list '(mlist simp) (car x) (cdr x))))
830 '$unknown))
831 l)))
833 (defun timeorg (tim)
834 (if (> thistime 0)
835 (incf thistime (- (get-internal-run-time) tim))))
838 (defmfun $quit (&optional (exit-code 0))
839 "Quit Maxima with an optional exit code for Lisps and systems that
840 support exit codes."
841 (princ *maxima-epilog*)
842 (bye exit-code)
843 (mtell (intl:gettext "quit: No known quit function for this Lisp.~%")))
845 ;; File-processing stuff.
847 (defun mterpri ()
848 (terpri)
849 (finish-output))
851 (defmspec $status (form)
852 (setq form (cdr form))
853 (let* ((keyword (car form))
854 (feature (cadr form)))
855 (when (not (symbolp keyword))
856 (merror (intl:gettext "status: first argument must be a symbol; found: ~M") keyword))
857 (when (not (or (stringp feature) (symbolp feature)))
858 (merror
859 (intl:gettext "status: second argument must be symbol or a string; found: ~M") feature))
860 (case keyword
861 ($feature (cond ((null feature) (dollarify *features*))
862 ((member (intern (if (stringp feature)
863 (maybe-invert-string-case feature)
864 (symbol-name (fullstrip1 feature)))
865 'keyword)
866 *features* :test #'equal) t)))
867 (t (merror (intl:gettext "status: unknown argument: ~M") keyword)))))
869 (defquote $sstatus (keyword item)
870 (cond ((equal keyword '$feature)
871 (pushnew ($mkey item) *features*) t)
872 ((equal keyword '$nofeature)
873 (setq *features* (delete ($mkey item) *features*)) t)
875 (merror (intl:gettext "sstatus: unknown argument: ~M") keyword))))
877 (dolist (l '($sin $cos $tan $sec $csc $cot $sinh $cosh
878 $tanh $sech $csch $coth $asin $acos $atan $acot $acsc $asec $asinh
879 $acosh $atanh $acsch $asech $acoth $del))
880 (let ((x ($nounify l)))
881 (putprop l x 'alias)
882 (putprop x l 'reversealias)))
884 ($nounify '$sum)
885 ($nounify '$lsum)
886 ($nounify '$product)
887 ($nounify '$integrate)
888 ($nounify '$limit)
890 (defprop $diff %derivative verb)
891 (defprop %derivative $diff noun)
893 (eval-when
894 (:compile-toplevel :execute)
895 (setq *print-base* *old-base* *read-base* *old-ibase*))