/usr/share/wxMaxima/wxmathml.lisp is in wxmaxima 15.08.2-1.
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;; wxMaxima xml format (based on David Drysdale MathML printing)
;; Andrej Vodopivec, 2004-2014
;; MathML-printing
;; Created by David Drysdale (DMD), December 2002/January 2003
;;
;; closely based on the original TeX conversion code in mactex.lisp,
;; for which the following credits apply:
;; (c) copyright 1987, Richard J. Fateman
;; small corrections and additions: Andrey Grozin, 2001
;; additional additions: Judah Milgram (JM), September 2001
;; additional corrections: Barton Willis (BLW), October 2001
;; Method:
;; Producing wxxml from a maxima internal expression is done by
;; a reversal of the parsing process. Fundamentally, a
;; traversal of the expression tree is produced by the program,
;; with appropriate substitutions and recognition of the
;; infix / prefix / postfix / matchfix relations on symbols. Various
;; changes are made to this so that MathML will like the results.
(declare-top
(special lop rop $inchar)
(*expr wxxml-lbp wxxml-rbp))
(defvar $wxfilename "")
(defvar $wxdirname "")
(defun wx-cd (dir)
(when $wxchangedir
(let ((dir (cond ((pathnamep dir) dir)
((stringp dir)
(make-pathname :directory (pathname-directory dir)
:device (pathname-device dir)))
(t (error "cd(dir): dir must be a string or pathname.")))))
(and (xchdir dir) (setf *default-pathname-defaults* dir) (namestring dir)))))
#+ccl (setf *print-circle* nil)
;;; Muffle compiler-notes globally
#+sbcl (declaim (sb-ext:muffle-conditions sb-ext:compiler-note))
(defmacro no-warning (form)
#+sbcl `(handler-bind
((style-warning #'muffle-warning)
(sb-ext:compiler-note #'muffle-warning))
,form)
#+clisp `(let ((custom:*suppress-check-redefinition* t)) ,form)
#-(or sbcl clisp) `(progn ,form))
($put '$wxmaxima `((mlist simp) 15 8 2) '$version)
(defun $wxbuild_info ()
(let ((wxmaxima-version (cdr ($get '$wxmaxima '$version)))
(year (sixth cl-user:*maxima-build-time*))
(month (fifth cl-user:*maxima-build-time*))
(day (fourth cl-user:*maxima-build-time*))
(hour (third cl-user:*maxima-build-time*))
(minute (second cl-user:*maxima-build-time*))
(seconds (first cl-user:*maxima-build-time*)))
(format t "wxMaxima version: ~{~d~^.~}~%" wxmaxima-version)
(format t "Maxima version: ~a~%" *autoconf-version*)
(format t "Maxima build date: ~4,'0d-~2,'0d-~2,'0d ~2,'0d:~2,'0d:~2,'0d~%"
year month day hour minute seconds)
(format t "Host type: ~a~%" *autoconf-host*)
(format t "System type: ~a ~a ~a~%" (software-type) (software-version) (machine-type))
(format t "Lisp implementation type: ~a~%" (lisp-implementation-type))
(format t "Lisp implementation version: ~a~%" (lisp-implementation-version)))
"")
(defmfun $wxbug_report ()
(format t "~%The Maxima bug database is available at~%")
(format t " http://sourceforge.net/tracker/?atid=104933&group_id=4933&func=browse~%")
(format t "Submit bug reports by following the 'Add new' link on that page.~%~%")
(format t "The wxMaxima bug database is available at~%")
(format t " https://github.com/andrejv/wxmaxima/issues?direction=desc&sort=created&state=open~%")
(format t "Submit bug reports by following the 'New issue' link on that page.~%~%")
(format t "Please include the following information with your bug report:~%")
(format t "-------------------------------------------------------------~%")
($wxbuild_info)
(format t "-------------------------------------------------------------~%"))
(setf (get '$inchar 'assign) 'neverset)
(setf (get '$outchar 'assign) 'neverset)
(defvar *var-tag* '("<v>" "</v>"))
(defun wxxml-get (x p)
(if (symbolp x) (get x p)))
(defun wxxml (x l r lop rop)
;; x is the expression of interest; l is the list of strings to its
;; left, r to its right. lop and rop are the operators on the left
;; and right of x in the tree, and will determine if parens must
;; be inserted
(setq x (nformat x))
(cond ((atom x) (wxxml-atom x l r))
((or (<= (wxxml-lbp (caar x)) (wxxml-rbp lop))
(> (wxxml-lbp rop) (wxxml-rbp (caar x))))
(wxxml-paren x l r))
;; special check needed because macsyma notates arrays peculiarly
((member 'array (cdar x) :test #'eq) (wxxml-array x l r))
;; dispatch for object-oriented wxxml-ifiying
((wxxml-get (caar x) 'wxxml) (funcall (get (caar x) 'wxxml) x l r))
((equal (wxxml-get (caar x) 'dimension) 'dimension-infix)
(wxxml-infix x l r))
((equal (wxxml-get (caar x) 'dimension) 'dimension-match)
(wxxml-matchfix-dim x l r))
((equal (wxxml-get (caar x) 'dimension) 'dimension-nary)
(wxxml-nary x l r))
((equal (wxxml-get (caar x) 'dimension) 'dimension-postfix)
(wxxml-postfix x l r))
((wxxml-get (caar x) 'defstruct-template)
(wxxml-defstruct x l r))
(t (wxxml-function x l r))))
(defmacro make-tag (val tag)
``((wxxmltag simp) ,,val ,,tag))
(defun $wxxmltag (val tag)
(make-tag ($sconcat val) ($sconcat tag)))
(defun string-substitute (newstring oldchar x &aux matchpos)
(setq matchpos (position oldchar x))
(if (null matchpos) x
(concatenate 'string
(subseq x 0 matchpos)
newstring
(string-substitute newstring oldchar
(subseq x (1+ matchpos))))))
(defun wxxml-fix-string (x)
(if (stringp x)
(let* ((tmp-x (string-substitute "&" #\& x))
(tmp-x (string-substitute "<" #\< tmp-x))
(tmp-x (string-substitute ">" #\> tmp-x)))
tmp-x)
x))
;;; First we have the functions which are called directly by wxxml and its
;;; descendants
(defun wxxml-atom (x l r &aux tmp-x)
(append l
(list (cond ((numberp x) (wxxmlnumformat x))
((and (symbolp x) (get x 'wxxmlword)))
((and (symbolp x) (get x 'reversealias))
(wxxml-stripdollar (get x 'reversealias)))
((stringp x)
(setq tmp-x (wxxml-fix-string x))
(if (and (boundp '$stringdisp) $stringdisp)
(setq tmp-x (format nil "\"~a\"" tmp-x)))
(concatenate 'string "<st>" tmp-x "</st>"))
((arrayp x)
(format nil "<v>Lisp array [~{~a~^,~}]</v>"
(array-dimensions x)))
((streamp x)
(format nil "<v>Stream [~A]</v>"
(stream-element-type x)))
((member (type-of x) '(GRAPH DIGRAPH))
(format nil "<v>~a</v>" x))
((typep x 'structure-object)
(format nil "<v>Structure [~A]</v>" (type-of x)))
((hash-table-p x)
(format nil "<v>HashTable</v>"))
(t (wxxml-stripdollar x))))
r))
(defun wxxmlnumformat (atom)
(let (r firstpart exponent)
(cond ((integerp atom)
(format nil "<n>~{~c~}</n>" (exploden atom)))
(t
(setq r (exploden atom))
(setq exponent (member 'e r :test #'string-equal))
(cond ((null exponent)
(format nil "<n>~{~c~}</n>" r))
(t
(setq firstpart
(nreverse (cdr (member 'e (reverse r)
:test #'string-equal))))
(if (char= (cadr exponent) #\+)
(setq exponent (cddr exponent))
(setq exponent (cdr exponent)))
(format nil
"<r><n>~{~c~}</n><h>*</h><e><n>10</n><n>~{~c~}</n></e></r>"
firstpart exponent)))))))
(defun wxxml-stripdollar (sym &aux pname)
(or (symbolp sym)
(return-from wxxml-stripdollar
(wxxml-fix-string (format nil "~a" sym))))
(setq pname (maybe-invert-string-case (symbol-name sym)))
(setq pname (cond ((and (> (length pname) 0)
(member (elt pname 0) '(#\$ #\&) :test #'eq))
(subseq pname 1))
((and (> (length pname) 0)
(equal (elt pname 0) #\%))
(if $noundisp
(concatenate 'string "'"
(subseq pname 1))
(subseq pname 1)))
($lispdisp
(concatenate 'string "?" pname))
(t pname)))
(setq pname (wxxml-fix-string pname))
(concatenate 'string (car *var-tag*) pname (cadr *var-tag*)))
(defun wxxml-paren (x l r)
(wxxml x (append l '("<p>")) (cons "</p>" r) 'mparen 'mparen))
(defun wxxml-array (x l r &aux f)
(if (eq 'mqapply (caar x))
(setq f (cadr x)
x (cdr x)
l (wxxml f (append l (list "<i><p>")) (list "</p>")
'mparen 'mparen))
(setq f (caar x)
l (wxxml f (append l '("<i><r>"))
(list "</r>") lop 'mfunction)))
(setq r (nconc (wxxml-list (cdr x) (list "<r>")
(list "</r></i>") "<v>,</v>") r))
(nconc l r))
;; set up a list , separated by symbols (, * ...) and then tack on the
;; ending item (e.g. "]" or perhaps ")"
(defun wxxml-list (x l r sym)
(if (null x) r
(do ((nl))
((null (cdr x))
(setq nl (nconc nl (wxxml (car x) l r 'mparen 'mparen)))
nl)
(setq nl (nconc nl (wxxml (car x) l (list sym) 'mparen 'mparen))
x (cdr x)
l nil))))
(defun wxxml-defstruct (x l r)
(let ((L1 (cdr (get (caar x) 'defstruct-template)))
(L2 (cdr x)))
(wxxml-function
(cons (car x)
(mapcar #'(lambda (e1 e2) (if (eq e1 e2) e1 `((mequal) ,e1 ,e2))) L1 L2))
l r)))
;; we could patch this so sin x rather than sin(x), but instead we made
;; sin a prefix operator
(defun wxxml-function (x l r)
(setq l
(let ((*var-tag* '("<fnm>" "</fnm>")))
(wxxml (caar x) (append l '("<fn>"))
nil 'mparen 'mparen))
r (wxxml (cons '(mprogn) (cdr x)) nil (append '("</fn>") r)
'mparen 'mparen))
(append l r))
;;; Now we have functions which are called via property lists
(defun wxxml-prefix (x l r)
(wxxml (cadr x) (append l (wxxmlsym (caar x))) r (caar x) rop))
(defun wxxml-infix (x l r)
;; check for 2 args
(if (or (null (cddr x)) (cdddr x)) (wna-err (caar x)))
(setq l (wxxml (cadr x) l nil lop (caar x)))
(wxxml (caddr x) (append l (wxxmlsym (caar x))) r (caar x) rop))
(defun wxxml-postfix (x l r)
(wxxml (cadr x) l (append (wxxmlsym (caar x)) r) lop (caar x)))
(defun wxxml-nary (x l r)
(let* ((op (caar x))
(sym (cond ((member op '(mtimes wxtimes) :test #'eq)
(if $stardisp
"<t>*</t>"
"<h>*</h>"))
;((wxxmlsym op))
((eq (get op 'dimension) 'dimension-nary)
(wxxml-dissym-to-string (get op 'dissym)))))
(y (cdr x))
(ext-lop lop)
(ext-rop rop))
(cond ((null y)
(wxxml-function x l r)) ; this should not happen
((null (cdr y))
(wxxml-function x l r)) ; this should not happen, too
(t (do ((nl) (lop ext-lop op)
(rop op (if (null (cdr y)) ext-rop op)))
((null (cdr y))
(setq nl (nconc nl (wxxml (car y) l r lop rop))) nl)
(setq nl (nconc nl (wxxml (car y) l (list sym) lop rop))
y (cdr y)
l nil))))))
(defun wxxml-nofix (x l r) (wxxml (caar x) l r (caar x) rop))
(defun wxxml-matchfix (x l r)
(setq l (append l (car (wxxmlsym (caar x))))
;; car of wxxmlsym of a matchfix operator is the lead op
r (append (cdr (wxxmlsym (caar x))) r)
;; cdr is the trailing op
x (wxxml-list (cdr x) nil r "<t>,</t>"))
(append l x))
(defun wxxml-matchfix-dim (x l r)
(setq l (append l
(list (wxxml-dissym-to-string (car (get (caar x) 'dissym)))))
r (append (list (wxxml-dissym-to-string (cdr (get (caar x) 'dissym))))
r)
x (wxxml-list (cdr x) nil r "<t>,</t>"))
(append l x))
(defun wxxml-dissym-to-string (lst &aux pname)
(setq pname
(wxxml-fix-string (format nil "~{~a~}" lst)))
(concatenate 'string "<v>" pname "</v>"))
(defun wxxmlsym (x)
(or (get x 'wxxmlsym)
(get x 'strsym)
(and (get x 'dissym)
(list (wxxml-dissym-to-string (get x 'dissym))))
(list (stripdollar x))))
(defun wxxmlword (x)
(or (get x 'wxxmlword)
(stripdollar x)))
(defprop bigfloat wxxml-bigfloat wxxml)
;;(defun mathml-bigfloat (x l r) (declare (ignore l r)) (fpformat x))
(defun wxxml-bigfloat (x l r)
(append l '("<n>") (fpformat x) '("</n>") r))
(defprop mprog "<fnm>block</fnm>" wxxmlword)
(defprop $true "<t>true</t>" wxxmlword)
(defprop $false "<t>false</t>" wxxmlword)
(defprop mprogn wxxml-matchfix wxxml)
(defprop mprogn (("<p>") "</p>") wxxmlsym)
(defprop mlist wxxml-matchfix wxxml)
(defprop mlist (("<t>[</t>")"<t>]</t>") wxxmlsym)
(defprop $set wxxml-matchfix wxxml)
(defprop $set (("<t>{</t>")"<t>}</t>") wxxmlsym)
(defprop mabs wxxml-matchfix wxxml)
(defprop mabs (("<a>")"</a>") wxxmlsym)
(defprop $conjugate wxxml-matchfix wxxml)
(defprop $conjugate (("<cj>")"</cj>") wxxmlsym)
(defprop mbox wxxml-mbox wxxml)
(defprop mlabox wxxml-mbox wxxml)
(defprop mbox 10. wxxml-rbp)
(defprop mbox 10. wxxml-lbp)
(defprop mlabbox 10. wxxml-rbp)
(defprop mlabbox 10. wxxml-lbp)
(defun wxxml-mbox (x l r)
(setq l (wxxml (cadr x) (append l '("<hl>")) nil 'mparen 'mparen)
r (append '("</hl>") r))
(append l r))
(defprop mqapply wxxml-mqapply wxxml)
(defun wxxml-mqapply (x l r)
(setq l (wxxml (cadr x) (append l '("<fn>"))
(list "<p>" ) lop 'mfunction)
r (wxxml-list (cddr x) nil (cons "</p></fn>" r) "<t>,</t>"))
(append l r))
(defprop $zeta "<g>zeta</g>" wxxmlword)
(defprop %zeta "<g>zeta</g>" wxxmlword)
;;
;; Greek characters
;;
(defprop $%alpha "<g>%alpha</g>" wxxmlword)
(defprop $alpha "<g>alpha</g>" wxxmlword)
(defprop $%beta "<g>%beta</g>" wxxmlword)
(defprop $beta "<g>beta</g>" wxxmlword)
(defprop $%gamma "<g>%gamma</g>" wxxmlword)
(defprop %gamma "<g>gamma</g>" wxxmlword)
(defprop $%delta "<g>%delta</g>" wxxmlword)
(defprop $delta "<g>delta</g>" wxxmlword)
(defprop $%epsilon "<g>%epsilon</g>" wxxmlword)
(defprop $epsilon "<g>epsilon</g>" wxxmlword)
(defprop $%zeta "<g>%zeta</g>" wxxmlword)
(defprop $%eta "<g>%eta</g>" wxxmlword)
(defprop $eta "<g>eta</g>" wxxmlword)
(defprop $%theta "<g>%theta</g>" wxxmlword)
(defprop $theta "<g>theta</g>" wxxmlword)
(defprop $%iota "<g>%iota</g>" wxxmlword)
(defprop $iota "<g>iota</g>" wxxmlword)
(defprop $%kappa "<g>%kappa</g>" wxxmlword)
(defprop $kappa "<g>kappa</g>" wxxmlword)
(defprop $%lambda "<g>%lambda</g>" wxxmlword)
(defprop $lambda "<g>lambda</g>" wxxmlword)
(defprop $%mu "<g>%mu</g>" wxxmlword)
(defprop $mu "<g>mu</g>" wxxmlword)
(defprop $%nu "<g>%nu</g>" wxxmlword)
(defprop $nu "<g>nu</g>" wxxmlword)
(defprop $%xi "<g>%xi</g>" wxxmlword)
(defprop $xi "<g>xi</g>" wxxmlword)
(defprop $%omicron "<g>%omicron</g>" wxxmlword)
(defprop $omicron "<g>omicron</g>" wxxmlword)
(defprop $%pi "<s>%pi</s>" wxxmlword)
(defprop $pi "<g>pi</g>" wxxmlword)
(defprop $%rho "<g>%rho</g>" wxxmlword)
(defprop $rho "<g>rho</g>" wxxmlword)
(defprop $%sigma "<g>%sigma</g>" wxxmlword)
(defprop $sigma "<g>sigma</g>" wxxmlword)
(defprop $%tau "<g>%tau</g>" wxxmlword)
(defprop $tau "<g>tau</g>" wxxmlword)
(defprop $%upsilon "<g>%upsilon</g>" wxxmlword)
(defprop $upsilon "<g>upsilon</g>" wxxmlword)
(defprop $%phi "<g>%phi</g>" wxxmlword)
(defprop $phi "<g>phi</g>" wxxmlword)
(defprop $%chi "<g>%chi</g>" wxxmlword)
(defprop $chi "<g>chi</g>" wxxmlword)
(defprop $%psi "<g>%psi</g>" wxxmlword)
(defprop $psi "<g>psi</g>" wxxmlword)
(defprop $%omega "<g>%omega</g>" wxxmlword)
(defprop $omega "<g>omega</g>" wxxmlword)
(defprop |$%Alpha| "<g>%Alpha</g>" wxxmlword)
(defprop |$Alpha| "<g>Alpha</g>" wxxmlword)
(defprop |$%Beta| "<g>%Beta</g>" wxxmlword)
(defprop |$Beta| "<g>Beta</g>" wxxmlword)
(defprop |$%Gamma| "<g>%Gamma</g>" wxxmlword)
(defprop |$Gamma| "<g>Gamma</g>" wxxmlword)
(defprop |$%Delta| "<g>%Delta</g>" wxxmlword)
(defprop |$Delta| "<g>Delta</g>" wxxmlword)
(defprop |$%Epsilon| "<g>%Epsilon</g>" wxxmlword)
(defprop |$Epsilon| "<g>Epsilon</g>" wxxmlword)
(defprop |$%Zeta| "<g>%Zeta</g>" wxxmlword)
(defprop |$Zeta| "<g>Zeta</g>" wxxmlword)
(defprop |$%Eta| "<g>%Eta</g>" wxxmlword)
(defprop |$Eta| "<g>Eta</g>" wxxmlword)
(defprop |$%Theta| "<g>%Theta</g>" wxxmlword)
(defprop |$Theta| "<g>Theta</g>" wxxmlword)
(defprop |$%Iota| "<g>%Iota</g>" wxxmlword)
(defprop |$Iota| "<g>Iota</g>" wxxmlword)
(defprop |$%Kappa| "<g>%Kappa</g>" wxxmlword)
(defprop |$Kappa| "<g>Kappa</g>" wxxmlword)
(defprop |$%Lambda| "<g>%Lambda</g>" wxxmlword)
(defprop |$Lambda| "<g>Lambda</g>" wxxmlword)
(defprop |$%Mu| "<g>%Mu</g>" wxxmlword)
(defprop |$Mu| "<g>Mu</g>" wxxmlword)
(defprop |$%Nu| "<g>%Nu</g>" wxxmlword)
(defprop |$Nu| "<g>Nu</g>" wxxmlword)
(defprop |$%Xi| "<g>%Xi</g>" wxxmlword)
(defprop |$Xi| "<g>Xi</g>" wxxmlword)
(defprop |$%Omicron| "<g>%Omicron</g>" wxxmlword)
(defprop |$Omicron| "<g>Omicron</g>" wxxmlword)
(defprop |$%Rho| "<g>%Rho</g>" wxxmlword)
(defprop |$Rho| "<g>Rho</g>" wxxmlword)
(defprop |$%Sigma| "<g>%Sigma</g>" wxxmlword)
(defprop |$Sigma| "<g>Sigma</g>" wxxmlword)
(defprop |$%Tau| "<g>%Tau</g>" wxxmlword)
(defprop |$Tau| "<g>Tau</g>" wxxmlword)
(defprop |$%Upsilon| "<g>%Upsilon</g>" wxxmlword)
(defprop |$Upsilon| "<g>Upsilon</g>" wxxmlword)
(defprop |$%Phi| "<g>%Phi</g>" wxxmlword)
(defprop |$Phi| "<g>Phi</g>" wxxmlword)
(defprop |$%Chi| "<g>%Chi</g>" wxxmlword)
(defprop |$Chi| "<g>Chi</g>" wxxmlword)
(defprop |$%Psi| "<g>%Psi</g>" wxxmlword)
(defprop |$Psi| "<g>Psi</g>" wxxmlword)
(defprop |$%Omega| "<g>%Omega</g>" wxxmlword)
(defprop |$Omega| "<g>Omega</g>" wxxmlword)
(defprop |$%Pi| "<g>%Pi</g>" wxxmlword)
(defprop |$Pi| "<g>Pi</g>" wxxmlword)
(defprop $%i "<s>%i</s>" wxxmlword)
(defprop $%e "<s>%e</s>" wxxmlword)
(defprop $inf "<s>inf</s>" wxxmlword)
(defprop $minf "<t>-</t><s>inf</s>" wxxmlword)
(defprop mreturn "return" wxxmlword)
(defprop mquote wxxml-prefix wxxml)
(defprop mquote ("<t>'</t>") wxxmlsym)
(defprop mquote "<t>'</t>" wxxmlword)
(defprop mquote 201. wxxml-rbp)
(defprop msetq wxxml-infix wxxml)
(defprop msetq ("<t>:</t>") wxxmlsym)
(defprop msetq "<t>:</t>" wxxmlword)
(defprop msetq 180. wxxml-rbp)
(defprop msetq 20. wxxml-rbp)
(defprop mset wxxml-infix wxxml)
(defprop mset ("<t>::</t>") wxxmlsym)
(defprop mset "<t>::</t>" wxxmlword)
(defprop mset 180. wxxml-lbp)
(defprop mset 20. wxxml-rbp)
(defprop mdefine wxxml-infix wxxml)
(defprop mdefine ("<t>:=</t>") wxxmlsym)
(defprop mdefine "<t>:=</t>" wxxmlword)
(defprop mdefine 180. wxxml-lbp)
(defprop mdefine 20. wxxml-rbp)
(defprop mdefmacro wxxml-infix wxxml)
(defprop mdefmacro ("<t>::=</t>") wxxmlsym)
(defprop mdefmacro "<t>::=</t>" wxxmlword)
(defprop mdefmacro 180. wxxml-lbp)
(defprop mdefmacro 20. wxxml-rbp)
(defprop marrow wxxml-infix wxxml)
(defprop marrow ("<t>-></t>") wxxmlsym)
(defprop marrow "<t>-></t>" wxxmlword)
(defprop marrow 25 wxxml-lbp)
(defprop marrow 25 wxxml-rbp)
(defprop mfactorial wxxml-postfix wxxml)
(defprop mfactorial ("<t>!</t>") wxxmlsym)
(defprop mfactorial "<t>!</t>" wxxmlword)
(defprop mfactorial 160. wxxml-lbp)
(defprop mexpt wxxml-mexpt wxxml)
(defprop mexpt 140. wxxml-lbp)
(defprop mexpt 139. wxxml-rbp)
(defprop %sum 90. wxxml-rbp)
(defprop %product 95. wxxml-rbp)
;; insert left-angle-brackets for mncexpt. a^<t> is how a^^n looks.
(defun wxxml-mexpt (x l r)
(cond ((atom (cadr x))
(wxxml-mexpt-simple x l r))
((member 'array (caadr x))
(wxxml-mexpt-array x l r))
(t
(wxxml-mexpt-simple x l r))))
(defun wxxml-mexpt-array (x l r)
(let* ((nc (eq (caar x) 'mncexpt))
f (xarr (cadr x))
(xexp (nformat (caddr x))))
;; the index part
(if (eq 'mqapply (caar xarr))
(setq f (cadr xarr)
xarr (cdr xarr)
l (wxxml f (append l (list "<ie><p>")) (list "</p>")
'mparen 'mparen))
(setq f (caar xarr)
l (wxxml f (append l (if nc
(list "<ie mat=\"true\"><r>")
(list "<ie><r>")))
(list "</r>") lop 'mfunction)))
(setq l (append l (wxxml-list (cdr xarr) (list "<r>")
(list "</r>") "<v>,</v>")))
;; The exponent part
(setq r (if (mmminusp xexp)
;; the change in base-line makes parens unnecessary
(wxxml (cadr xexp) '("<r><v>-</v>")
(cons "</r></ie>" r) 'mparen 'mparen)
(if (and (integerp xexp) (< xexp 10))
(wxxml xexp nil
(cons "</ie>" r) 'mparen 'mparen)
(wxxml xexp (list "<r>")
(cons "</r></ie>" r) 'mparen 'mparen)
)))
(append l r)))
(defun wxxml-mexpt-simple (x l r)
(let((nc (eq (caar x) 'mncexpt)))
(setq l (wxxml (cadr x) (append l (if nc
'("<e mat=\"true\"><r>")
'("<e><r>")))
nil lop (caar x))
r (if (mmminusp (setq x (nformat (caddr x))))
;; the change in base-line makes parens unnecessary
(wxxml (cadr x) '("</r><r><v>-</v>")
(cons "</r></e>" r) 'mminus 'mminus)
(if (and (integerp x) (< x 10))
(wxxml x (list "</r>")
(cons "</e>" r) 'mparen 'mparen)
(wxxml x (list "</r><r>")
(cons "</r></e>" r) 'mparen 'mparen)
)))
(append l r)))
(defprop mncexpt wxxml-mexpt wxxml)
(defprop mncexpt 135. wxxml-lbp)
(defprop mncexpt 134. wxxml-rbp)
(defprop mnctimes wxxml-nary wxxml)
(defprop mnctimes "<t>.</t>" wxxmlsym)
(defprop mnctimes "<t>.</t>" wxxmlword)
(defprop mnctimes 110. wxxml-lbp)
(defprop mnctimes 109. wxxml-rbp)
(defprop mtimes wxxml-nary wxxml)
(defprop mtimes "<h>*</h>" wxxmlsym)
(defprop mtimes "<t>*</t>" wxxmlword)
(defprop mtimes 120. wxxml-lbp)
(defprop mtimes 120. wxxml-rbp)
(defprop wxtimes wxxml-nary wxxml)
(defprop wxtimes "<h>*</h>" wxxmlsym)
(defprop wxtimes "<t>*</t>" wxxmlword)
(defprop wxtimes 120. wxxml-lbp)
(defprop wxtimes 120. wxxml-rbp)
(defprop %sqrt wxxml-sqrt wxxml)
(defun wxxml-sqrt (x l r)
(wxxml (cadr x) (append l '("<q>"))
(append '("</q>") r) 'mparen 'mparen))
(defprop mquotient wxxml-mquotient wxxml)
(defprop mquotient ("<t>/</t>") wxxmlsym)
(defprop mquotient "<t>/</t>" wxxmlword)
(defprop mquotient 122. wxxml-lbp) ;;dunno about this
(defprop mquotient 123. wxxml-rbp)
(defun wxxml-mquotient (x l r)
(if (or (null (cddr x)) (cdddr x)) (wna-err (caar x)))
(setq l (wxxml (cadr x) (append l '("<f><r>")) nil 'mparen 'mparen)
r (wxxml (caddr x) (list "</r><r>")
(append '("</r></f>")r) 'mparen 'mparen))
(append l r))
(defprop $matrix wxxml-matrix-test wxxml)
(defun wxxml-matrix-test (x l r)
(if (every #'$listp (cdr x))
(wxxml-matrix x l r)
(wxxml-function x l r)))
(defun wxxml-matrix(x l r) ;;matrix looks like ((mmatrix)((mlist) a b) ...)
(cond ((null (cdr x))
(append l `("<fn><fnm>matrix</fnm><p/></fn>") r))
((and (null (cddr x))
(null (cdadr x)))
(append l `("<fn><fnm>matrix</fnm><p><t>[</t><t>]</t></p></fn>") r))
(t
(append l (cond
((find 'inference (car x))
(list "<tb inference=\"true\">"))
((find 'special (car x))
(list (format nil "<tb special=\"true\" rownames=~s colnames=~s>"
(if (find 'rownames (car x)) "true" "false")
(if (find 'colnames (car x)) "true" "false"))))
(t
(list "<tb>")))
(mapcan #'(lambda (y)
(cond ((null (cdr y))
(list "<mtr><mtd><mspace/></mtd></mtr>"))
(t
(wxxml-list (cdr y)
(list "<mtr><mtd>")
(list "</mtd></mtr>")
"</mtd><mtd>"))))
(cdr x))
`("</tb>") r))))
;; macsyma sum or prod is over integer range, not low <= index <= high
;; wxxml is lots more flexible .. but
(defprop %sum wxxml-sum wxxml)
(defprop %lsum wxxml-lsum wxxml)
(defprop %product wxxml-sum wxxml)
(defprop $sum wxxml-sum wxxml)
(defprop $lsum wxxml-lsum wxxml)
(defprop $product wxxml-sum wxxml)
;; easily extended to union, intersect, otherops
(defun wxxml-lsum(x l r)
(let ((op "<sm type=\"lsum\"><r>")
;; gotta be one of those above
(s1 (wxxml (cadr x) nil nil 'mparen rop));; summand
(index ;; "index = lowerlimit"
(wxxml `((min simp) , (caddr x), (cadddr x))
nil nil 'mparen 'mparen)))
(append l `(,op ,@index
"</r><r><mn/></r><r>"
,@s1 "</r></sm>") r)))
(defun wxxml-sum(x l r)
(let ((op (if (or (eq (caar x) '%sum)
(eq (caar x) '$sum))
"<sm><r>"
"<sm type=\"prod\"><r>"))
(s1 (wxxml (cadr x) nil nil 'mparen rop));; summand
(index ;; "index = lowerlimit"
(wxxml `((mequal simp) ,(caddr x) ,(cadddr x))
nil nil 'mparen 'mparen))
(toplim (wxxml (car (cddddr x)) nil nil 'mparen 'mparen)))
(append l `( ,op ,@index "</r><r>" ,@toplim
"</r><r>"
,@s1 "</r></sm>") r)))
(defprop %integrate wxxml-int wxxml)
(defprop $integrate wxxml-int wxxml)
(defun wxxml-int (x l r)
(let ((s1 (wxxml (cadr x) nil nil 'mparen 'mparen));;integrand delims / & d
(var (wxxml (caddr x) nil nil 'mparen rop))) ;; variable
(cond ((= (length x) 3)
(append l `("<in def=\"false\"><r>"
,@s1
"</r><r><s>d</s>"
,@var
"</r></in>") r))
(t ;; presumably length 5
(let ((low (wxxml (nth 3 x) nil nil 'mparen 'mparen))
;; 1st item is 0
(hi (wxxml (nth 4 x) nil nil 'mparen 'mparen)))
(append l `("<in><r>"
,@low
"</r><r>"
,@hi
"</r><r>"
,@s1
"</r><r><s>d</s>"
,@var "</r></in>") r))))))
(defprop %limit wxxml-limit wxxml)
(defprop mrarr wxxml-infix wxxml)
(defprop mrarr ("<t>-></t>") wxxmlsym)
(defprop mrarr 80. wxxml-lbp)
(defprop mrarr 80. wxxml-rbp)
(defun wxxml-limit (x l r) ;; ignoring direction, last optional arg to limit
(let ((s1 (wxxml (second x) nil nil 'mparen rop));; limitfunction
(subfun ;; the thing underneath "limit"
(wxxml `((mrarr simp) ,(third x)
,(fourth x)) nil nil 'mparen 'mparen)))
(case (fifth x)
($plus
(append l `("<lm><fnm>lim</fnm><r>"
,@subfun "<v>+</v></r><r>"
,@s1 "</r></lm>") r))
($minus
(append l `("<lm><fnm>lim</fnm><r>"
,@subfun "<t>-</t></r><r>"
,@s1 "</r></lm>") r))
(otherwise
(append l `("<lm><fnm>lim</fnm><r>"
,@subfun "</r><r>"
,@s1 "</r></lm>") r)))))
(defprop %at wxxml-at wxxml)
;; e.g. at(diff(f(x)),x=a)
(defun wxxml-at (x l r)
(let ((s1 (wxxml (cadr x) nil nil lop rop))
(sub (wxxml (caddr x) nil nil 'mparen 'mparen)))
(append l '("<at><r>") s1
'("</r><r>") sub '("</r></at>") r)))
;;binomial coefficients
(defprop %binomial wxxml-choose wxxml)
(defun wxxml-choose (x l r)
`(,@l
"<p print=\"no\"><f line=\"no\"><r>"
,@(wxxml (cadr x) nil nil 'mparen 'mparen)
"</r><r>"
,@(wxxml (caddr x) nil nil 'mparen 'mparen)
"</r></f></p>"
,@r))
(defprop rat wxxml-rat wxxml)
(defprop rat 120. wxxml-lbp)
(defprop rat 121. wxxml-rbp)
(defun wxxml-rat(x l r) (wxxml-mquotient x l r))
(defprop mplus wxxml-mplus wxxml)
(defprop mplus 100. wxxml-lbp)
(defprop mplus 100. wxxml-rbp)
(defun wxxml-mplus (x l r)
(cond ((member 'trunc (car x) :test #'eq)
(setq r (cons "<v>+</v><t>...</t>" r))))
(cond ((null (cddr x))
(if (null (cdr x))
(wxxml-function x l r)
(wxxml (cadr x) l r 'mplus rop)))
(t (setq l (wxxml (cadr x) l nil lop 'mplus)
x (cddr x))
(do ((nl l) (dissym))
((null (cdr x))
(if (mmminusp (car x)) (setq l (cadar x) dissym
(list "<v>-</v>"))
(setq l (car x) dissym (list "<v>+</v>")))
(setq r (wxxml l dissym r 'mplus rop))
(append nl r))
(if (mmminusp (car x)) (setq l (cadar x) dissym
(list "<v>-</v>"))
(setq l (car x) dissym (list "<v>+</v>")))
(setq nl (append nl (wxxml l dissym nil 'mplus 'mplus))
x (cdr x))))))
(defprop mminus wxxml-prefix wxxml)
(defprop mminus ("<v>-</v>") wxxmlsym)
(defprop mminus "<v>-</v>" wxxmlword)
(defprop mminus 101. wxxml-rbp)
(defprop mminus 101. wxxml-lbp)
(defprop $~ wxxml-infix wxxml)
(defprop $~ ("<t>~</t>") wxxmlsym)
(defprop $~ "<t>~</t>" wxxmlword)
(defprop $~ 134. wxxml-lbp)
(defprop $~ 133. wxxml-rbp)
(defprop min wxxml-infix wxxml)
(defprop min ("<fnm>in</fnm>") wxxmlsym)
(defprop min "<fnm>in</fnm>" wxxmlword)
(defprop min 80. wxxml-lbp)
(defprop min 80. wxxml-rbp)
(defprop mequal wxxml-infix wxxml)
(defprop mequal ("<v>=</v>") wxxmlsym)
(defprop mequal "<v>=</v>" wxxmlword)
(defprop mequal 80. wxxml-lbp)
(defprop mequal 80. wxxml-rbp)
(defprop mnotequal wxxml-infix wxxml)
(defprop mnotequal ("<t>#</t>") wxxmlsym)
(defprop mnotequal 80. wxxml-lbp)
(defprop mnotequal 80. wxxml-rbp)
(defprop mgreaterp wxxml-infix wxxml)
(defprop mgreaterp ("<t>></t>") wxxmlsym)
(defprop mgreaterp "<t>></t>" wxxmlword)
(defprop mgreaterp 80. wxxml-lbp)
(defprop mgreaterp 80. wxxml-rbp)
(defprop mgeqp wxxml-infix wxxml)
(defprop mgeqp ("<t>>=</t>") wxxmlsym)
(defprop mgeqp "<t>>=</t>" wxxmlword)
(defprop mgeqp 80. wxxml-lbp)
(defprop mgeqp 80. wxxml-rbp)
(defprop mlessp wxxml-infix wxxml)
(defprop mlessp ("<t><</t>") wxxmlsym)
(defprop mlessp "<t><</t>" wxxmlword)
(defprop mlessp 80. wxxml-lbp)
(defprop mlessp 80. wxxml-rbp)
(defprop mleqp wxxml-infix wxxml)
(defprop mleqp ("<t><=</t>") wxxmlsym)
(defprop mleqp "<t><=</t>" wxxmlword)
(defprop mleqp 80. wxxml-lbp)
(defprop mleqp 80. wxxml-rbp)
(defprop mnot wxxml-prefix wxxml)
(defprop mnot ("<fnm altCopy=\"not \">not</fnm>") wxxmlsym)
(defprop mnot "<fnm>not</fnm>" wxxmlword)
(defprop mnot 70. wxxml-rbp)
(defprop mand wxxml-nary wxxml)
(defprop mand "<mspace/><fnm>and</fnm><mspace/>" wxxmlsym)
(defprop mand "<fnm>and</fnm>" wxxmlword)
(defprop mand 60. wxxml-lbp)
(defprop mand 60. wxxml-rbp)
(defprop mor wxxml-nary wxxml)
(defprop mor "<mspace/><fnm>or</fnm><mspace/>" wxxmlsym)
(defprop mor "<fnm>or</fnm>" wxxmlword)
(defprop mor 50. wxxml-lbp)
(defprop mor 50. wxxml-rbp)
(defprop mcond wxxml-mcond wxxml)
(defprop mcond 25. wxxml-lbp)
(defprop mcond 25. wxxml-rbp)
(defprop %derivative wxxml-derivative wxxml)
(defprop %derivative 120. wxxml-lbp)
(defprop %derivative 119. wxxml-rbp)
(defun wxxml-derivative (x l r)
(if (and $derivabbrev
(every #'integerp (odds (cddr x) 0))
(every #'atom (odds (cddr x) 1)))
(append l (wxxml-d-abbrev x) r)
(wxxml (wxxml-d x) (append l '("<d>"))
(append '("</d>") r) 'mparen 'mparen)))
(defun $derivabbrev (a)
(if a
(progn
(defprop %derivative 130. wxxml-lbp)
(defprop %derivative 129. wxxml-rbp)
(setq $derivabbrev t))
(progn
(defprop %derivative 120. wxxml-lbp)
(defprop %derivative 119. wxxml-rbp)
(setq $derivabbrev nil))))
(defun wxxml-d-abbrev-subscript (l_vars l_ords &aux var_xml)
(let ((sub ()))
(loop while l_vars do
(setq var_xml (car (wxxml (car l_vars) nil nil 'mparen 'mparen)))
(loop for i from 1 to (car l_ords) do
(setq sub (cons var_xml sub)))
(setq l_vars (cdr l_vars)
l_ords (cdr l_ords)))
(reverse sub)))
(defun wxxml-d-abbrev (x)
(let*
((difflist (cddr x))
(ords (odds difflist 0))
(ords (cond ((null ords) '(1))
(t ords)))
(vars (odds difflist 1))
(fun (wxxml (cadr x) nil nil 'mparen 'mparen)))
(append '("<i d=\"1\"><r>") fun '("</r>")
'("<r>") (wxxml-d-abbrev-subscript vars ords) '("</r></i>"))))
(defun wxxml-d (x)
;; format the macsyma derivative form so it looks
;; sort of like a quotient times the deriva-dand.
(let*
(($simp t)
(arg (cadr x)) ;; the function being differentiated
(difflist (cddr x)) ;; list of derivs e.g. (x 1 y 2)
(ords (odds difflist 0)) ;; e.g. (1 2)
(ords (cond ((null ords) '(1))
(t ords)))
(vars (odds difflist 1)) ;; e.g. (x y)
(dsym '((wxxmltag simp) "d" "s"))
(numer `((mexpt) ,dsym ((mplus) ,@ords))) ; d^n numerator
(denom (cons '(mtimes)
(mapcan #'(lambda(b e)
`(,dsym ,(simplifya `((mexpt) ,b ,e) nil)))
vars ords))))
`((wxtimes)
((mquotient) ,(simplifya numer nil) ,denom)
,arg)))
(defun wxxml-mcond (x l r)
(let ((res ()))
(setq res (wxxml (cadr x) '("<fnm>if</fnm><mspace/>")
'("<mspace/><fnm>then</fnm><mspace/>") 'mparen 'mparen))
(setq res (append res (wxxml (caddr x) nil
'("<mspace/>") 'mparen 'mparen)))
(let ((args (cdddr x)))
(loop while (>= (length args) 2) do
(cond
((and (= (length args) 2) (eql (car args) t))
(unless (or (eql (cadr args) '$false) (null (cadr args)))
(setq res (wxxml (cadr args)
(append res '("<fnm>else</fnm><mspace/>"))
nil 'mparen 'mparen))))
(t
(setq res (wxxml (car args)
(append res '("<fnm>elseif</fnm><mspace/>"))
(wxxml (cadr args)
'("<mspace/><fnm>then</fnm><mspace/>")
'("<mspace/>") 'mparen 'mparen)
'mparen 'mparen))))
(setq args (cddr args)))
(append l res r))))
(defprop mdo wxxml-mdo wxxml)
(defprop mdo 30. wxxml-lbp)
(defprop mdo 30. wxxml-rbp)
(defprop mdoin wxxml-mdoin wxxml)
(defprop mdoin 30. wxxml-rbp)
(defun wxxml-lbp (x)
(cond ((wxxml-get x 'wxxml-lbp))
(t(lbp x))))
(defun wxxml-rbp (x)
(cond ((wxxml-get x 'wxxml-rbp))
(t(lbp x))))
;; these aren't quite right
(defun wxxml-mdo (x l r)
(wxxml-list (wxxmlmdo x) l r "<mspace/>"))
(defun wxxml-mdoin (x l r)
(wxxml-list (wxxmlmdoin x) l r "<mspace/>"))
(defun wxxmlmdo (x)
(nconc (cond ((second x) (list (make-tag "for" "fnm") (second x))))
(cond ((equal 1 (third x)) nil)
((third x) (list (make-tag "from" "fnm") (third x))))
(cond ((equal 1 (fourth x)) nil)
((fourth x)
(list (make-tag "step" "fnm") (fourth x)))
((fifth x)
(list (make-tag "next" "fnm") (fifth x))))
(cond ((sixth x)
(list (make-tag "thru" "fnm") (sixth x))))
(cond ((null (seventh x)) nil)
((eq 'mnot (caar (seventh x)))
(list (make-tag "while" "fnm") (cadr (seventh x))))
(t (list (make-tag "unless" "fnm") (seventh x))))
(list (make-tag "do" "fnm") (eighth x))))
(defun wxxmlmdoin (x)
(nconc (list (make-tag "for" "fnm") (second x)
(make-tag "in" "fnm") (third x))
(cond ((sixth x)
(list (make-tag "thru" "fnm") (sixth x))))
(cond ((null (seventh x)) nil)
((eq 'mnot (caar (seventh x)))
(list (make-tag "while" "fnm") (cadr (seventh x))))
(t (list (make-tag "unless" "fnm") (seventh x))))
(list (make-tag "do" "fnm") (eighth x))))
(defun wxxml-matchfix-np (x l r)
(setq l (append l (car (wxxmlsym (caar x))))
;; car of wxxmlsym of a matchfix operator is the lead op
r (append (cdr (wxxmlsym (caar x))) r)
;; cdr is the trailing op
x (wxxml-list (cdr x) nil r ""))
(append l x))
(defprop text-string wxxml-matchfix-np wxxml)
(defprop text-string (("<t>")"</t>") wxxmlsym)
(defprop mtext wxxml-matchfix-np wxxml)
(defprop mtext (("")"") wxxmlsym)
(defvar *wxxml-mratp* nil)
(defun wxxml-mlable (x l r)
(wxxml (caddr x)
(append l
(if (cadr x)
(list
(format nil "<lbl>(~A)~A </lbl>"
(stripdollar (maybe-invert-string-case (symbol-name (cadr x))))
*wxxml-mratp*))
nil))
r 'mparen 'mparen))
(defprop mlable wxxml-mlable wxxml)
(defprop mlabel wxxml-mlable wxxml)
(defun wxxml-spaceout (x l r)
(append l (list " " (make-string (cadr x) :initial-element #\.) "") r))
(defprop spaceout wxxml-spaceout wxxml)
(defun mydispla (x)
(let ((*print-circle* nil)
(*wxxml-mratp* (format nil "~{~a~}" (cdr (checkrat x)))))
(mapc #'princ
(wxxml x '("<mth>") '("</mth>") 'mparen 'mparen))))
(setf *alt-display2d* 'mydispla)
(defun $set_display (tp)
(cond
((eq tp '$none)
(setq $display2d nil))
((eq tp '$ascii)
(setq $display2d t)
(setf *alt-display2d* nil))
((eq tp '$xml)
(setq $display2d t)
(setf *alt-display2d* 'mydispla))
(t
(format t "Unknown display type")
(setq tp '$unknown)))
tp)
;;
;; inference_result from the stats package
;;
(defun wxxml-inference (x l r)
(let ((name (cadr x))
(values (caddr x))
(dis (cadddr x))
(m ()))
(labels
((build-eq (e)
`((mequal simp) ,(cadr e) ,(caddr e))))
(dolist (i (cdr dis))
(setq m (append m `(((mlist simp) ,(build-eq (nth i values)))))))
(setq m (cons `((mlist simp) ,name) m))
(setq m (cons '($matrix simp inference) m))
(wxxml m l r 'mparen 'mparen))))
(defprop $inference_result wxxml-inference wxxml)
(defun wxxml-amatrix (x l r)
(let* ((nr ($@-function x '$nr))
(nc ($@-function x '$nc))
(M (simplifya ($genmatrix
`((lambda) ((mlist) i j) (mfuncall '$get_element ,x i j))
nr nc)
t)))
(wxxml-matrix M l r)))
(defprop $amatrix wxxml-amatrix wxxml)
;;
;; orthopoly functions
;;
(defun wxxml-pochhammer (x l r)
(let ((n (cadr x))
(k (caddr x)))
(append l
(list (format nil "<i altCopy=\"~{~a~}\"><p>" (mstring x)))
(wxxml n nil nil 'mparen 'mparen)
(list "</p><r>")
(wxxml k nil nil 'mparen 'mparen)
(list "</r></i>")
r)))
(defprop $pochhammer wxxml-pochhammer wxxml)
(defun wxxml-orthopoly (x l r)
(let* ((fun-name (caar x))
(disp-name (get fun-name 'wxxml-orthopoly-disp))
(args (cdr x)))
(append l
(list (format nil "<fn altCopy=\"~{~a~}\">" (mstring x)))
(if (nth 2 disp-name)
(list (format nil "<ie><fnm>~a</fnm><r>" (car disp-name)))
(list (format nil "<i><fnm>~a</fnm><r>" (car disp-name))))
(wxxml (nth (nth 1 disp-name) args) nil nil 'mparen 'mparen)
(when (nth 2 disp-name)
(append (list "</r><r>")
(when (nth 3 disp-name) (list "<p>"))
(wxxml-list (or (nth 5 disp-name)
(mapcar (lambda (i) (nth i args)) (nth 2 disp-name)))
nil nil ",")
(when (nth 3 disp-name) (list "</p>"))
(list "</r>")))
(if (nth 2 disp-name)
(list "</ie>")
(list "</r></i>"))
(list "<p>")
(wxxml-list (mapcar (lambda (i) (nth i args)) (nth 4 disp-name)) nil nil ",")
(list "</p></fn>")
r)))
(dolist (ortho-pair
'(($laguerre "L" 0 nil nil (1))
(%laguerre "L" 0 nil nil (1))
($legendre_p "P" 0 nil nil (1))
(%legendre_p "P" 0 nil nil (1))
($legendre_q "Q" 0 nil nil (1))
(%legendre_q "Q" 0 nil nil (1))
($chebyshev_t "T" 0 nil nil (1))
(%chebyshev_t "T" 0 nil nil (1))
($chebyshev_u "U" 0 nil nil (1))
(%chebyshev_u "U" 0 nil nil (1))
($hermite "H" 0 nil nil (1))
(%hermite "H" 0 nil nil (1))
($spherical_bessel_j "J" 0 nil nil (1))
(%spherical_bessel_j "J" 0 nil nil (1))
($spherical_bessel_y "Y" 0 nil nil (1))
(%spherical_bessel_y "Y" 0 nil nil (1))
($assoc_legendre_p "P" 0 (1) nil (2))
(%assoc_legendre_p "P" 0 (1) nil (2))
($assoc_legendre_q "Q" 0 (1) nil (2))
(%assoc_legendre_q "Q" 0 (1) nil (2))
($jacobi_p "P" 0 (1 2) t (3))
(%jacobi_p "P" 0 (1 2) t (3))
($gen_laguerre "L" 0 (1) t (2))
(%gen_laguerre "L" 0 (1) t (2))
($spherical_harmonic "Y" 0 (1) nil (2 3))
(%spherical_harmonic "Y" 0 (1) nil (2 3))
($ultraspherical "C" 0 (1) t (2))
(%ultraspherical "C" 0 (1) t (2))
($spherical_hankel1 "H" 0 t t (1) (1))
(%spherical_hankel1 "H" 0 t t (1) (1))
($spherical_hankel2 "H" 0 t t (1) (2))
(%spherical_hankel2 "H" 0 t t (1) (2))))
(setf (get (car ortho-pair) 'wxxml) 'wxxml-orthopoly)
(setf (get (car ortho-pair) 'wxxml-orthopoly-disp) (cdr ortho-pair)))
;;;
;;; This is the display support only - copy/paste will not work
;;;
(defmvar $pdiff_uses_prime_for_derivatives nil)
(defmvar $pdiff_prime_limit 3)
(defmvar $pdiff_uses_named_subscripts_for_derivatives nil)
(defmvar $pdiff_diff_var_names (list '(mlist) '|$x| '|$y| '|$z|))
(setf (get '%pderivop 'wxxml) 'wxxml-pderivop)
(setf (get '$pderivop 'wxxml) 'wxxml-pderivop)
(defun wxxml-pderivop (x l r)
(cond ((and $pdiff_uses_prime_for_derivatives (eq 3 (length x)))
(let* ((n (car (last x)))
(p))
(cond ((<= n $pdiff_prime_limit)
(setq p (make-list n :initial-element "'")))
(t
(setq p (list "(" n ")"))))
(append (append l '("<r>"))
(let ((*var-tag* (list "<fnm>" "</fnm>"))) (wxxml (cadr x) nil nil lop rop))
p
(list "</r>") r)))
((and $pdiff_uses_named_subscripts_for_derivatives
(< (apply #'+ (cddr x)) $pdiff_prime_limit))
(let ((n (cddr x))
(v (mapcar #'stripdollar (cdr $pdiff_diff_var_names)))
(p))
(cond ((> (length n) (length v))
(merror "Not enough elements in pdiff_diff_var_names to display the expression")))
(dotimes (i (length n))
(setq p (append p (make-list (nth i n)
:initial-element (nth i v)))))
(append (append l '("<i><r>"))
(wxxml (cadr x) nil nil lop rop)
(list "</r><r>") p (list "</r></i>") r)))
(t
(append (append l '("<i><r>"))
(wxxml (cadr x) nil nil lop rop)
(list "</r><r>(")
(wxxml-list (cddr x) nil nil ",")
(list ")</r></i>") r))))
;;
;; Plotting support
;;
(defprop wxxmltag wxxml-tag wxxml)
(defun wxxml-tag (x l r)
(let ((name (cadr x))
(tag (caddr x))
(prop (cadddr x)))
(if prop
(append l (list (format nil "<~a ~a>~a</~a>" tag prop name tag)) r)
(append l (list (format nil "<~a>~a</~a>" tag name tag)) r))))
(defmvar $wxplot_old_gnuplot nil)
(defvar *image-counter* 0)
(defvar $gnuplot_file_name)
(defvar $data_file_name)
(setq $gnuplot_file_name (format nil "maxout_~d.gnuplot" (getpid)))
(setq $data_file_name (format nil "maxout_~d.dat" (getpid)))
(defun wxplot-filename (&optional (suff t))
(incf *image-counter*)
(plot-temp-file (if suff
(format nil "maxout_~d_~d.png" (getpid) *image-counter*)
(format nil "maxout_~d_~d" (getpid) *image-counter*))))
(defun $wxplot_preamble ()
(let ((frmt
(cond
($wxplot_old_gnuplot "set terminal png picsize ~d ~d; set zeroaxis;")
($wxplot_pngcairo "set terminal pngcairo dashed background \"white\" enhanced font \"arial,10\" fontscale 1.0 size ~d,~d; set zeroaxis;")
(t "set terminal png size ~d,~d; set zeroaxis;"))))
(format nil frmt
($first $wxplot_size)
($second $wxplot_size))))
(defun $int_range (lo &optional hi (st 1))
(unless (integerp lo)
($error "int_range: first argument is not an integer."))
(unless (or (null hi) (integerp hi))
($error "int_range: second argument is not an integer."))
(when (null hi)
(setq hi lo)
(setq lo 1))
(cons '(mlist simp) (loop :for i :from lo :to hi :by st :collect i)))
(defvar *default-framerate* 2)
(defvar $wxanimate_framerate *default-framerate*)
(defun slide-tag (images)
(if (eql *default-framerate* $wxanimate_framerate)
($ldisp (list '(wxxmltag simp) (format nil "~{~a;~}" images) "slide"))
($ldisp (list '(wxxmltag simp) (format nil "~{~a;~}" images) "slide"
(format nil "fr=\"~a\"" $wxanimate_framerate)))))
(defun wxanimate (scene)
(let* ((scene (cdr scene))
(a (car scene))
(a-range (meval (cadr scene)))
(expr (caddr scene))
(args (cdddr scene))
(images ()))
(when (integerp a-range)
(setq a-range (cons '(mlist simp) (loop for i from 1 to a-range collect i))))
(dolist (aval (reverse (cdr a-range)))
(let ((preamble ($wxplot_preamble))
(system-preamble (get-plot-option-string '$gnuplot_preamble 2))
(filename (wxplot-filename))
(expr (maxima-substitute aval a expr)))
(when (string= system-preamble "false")
(setq system-preamble ""))
(setq preamble (format nil "~a; ~a" preamble system-preamble))
(dolist (arg args)
(if (and (listp arg) (eql (cadr arg) '$gnuplot_preamble))
(setq preamble (format nil "~a; ~a"
preamble (meval (maxima-substitute aval a (caddr arg)))))))
(apply #'$plot2d `(,(meval expr) ,@(mapcar #'meval args)
((mlist simp) $plot_format $gnuplot)
((mlist simp) $gnuplot_term ,(if $wxplot_pngcairo '$pngcairo '$png))
((mlist simp) $gnuplot_preamble ,preamble)
((mlist simp) $gnuplot_out_file ,filename)))
(setq images (cons filename images))))
(when images
(slide-tag images)))
"")
(defmspec $with_slider (scene)
(wxanimate scene))
(defmspec $wxanimate (scene)
(wxanimate scene))
(defvar *windows-OS* (string= *autoconf-win32* "true"))
(defun get-file-name-opt (scene)
(let (opts filename)
(loop for opt in scene do
(if (and (not (atom opt))
(eq (caar opt) 'mequal)
(eq (cadr opt) '$file_name))
(setq filename (caddr opt))
(setq opts (cons opt opts))))
(values (reverse opts) filename)))
(defun get-pic-size-opt ()
(cond
((eq ($get '$draw '$version) 1)
`(((mequal simp) $pic_width ,($first $wxplot_size))
((mequal simp) $pic_height ,($second $wxplot_size))))
(t
`(((mequal simp) $dimensions ,$wxplot_size)))))
(defun wxanimate-draw (scenes scene-head)
(unless ($get '$draw '$version) ($load "draw"))
(multiple-value-bind (scene file-name) (get-file-name-opt (cdr scenes))
(let* ((a (meval (car scene)))
(a-range (meval (cadr scene)))
(*windows-OS* t)
(args (cddr scene))
(images ()))
(when (integerp a-range)
(setq a-range (cons '(mlist simp) (loop for i from 1 to a-range collect i))))
(if file-name
;; If file_name is set, draw the animation into gif using gnuplot
(let (imgs)
(dolist (aval (reverse (cdr a-range)))
(setq imgs (cons
(cons scene-head
(mapcar #'(lambda (arg) (meval (maxima-substitute aval a arg)))
args))
imgs)))
($apply '$draw
(append
`((mlist simp)
((mequal simp) $gnuplot_file_name ,$gnuplot_file_name)
((mequal simp) $data_file_name ,$data_file_name)
((mequal simp) $terminal $animated_gif)
((mequal simp) $file_name ,file-name))
(get-pic-size-opt)
imgs))
"")
;; If file_name is not set, show the animation in wxMaxima
(progn
(dolist (aval (reverse (cdr a-range)))
(let* ((filename (wxplot-filename nil))
(args (cons scene-head
(mapcar #'(lambda (arg) (meval (maxima-substitute aval a arg)))
args))))
(setq images (cons (format nil "~a.png" filename) images))
($apply '$draw
(append
`((mlist simp)
((mequal simp) $gnuplot_file_name ,$gnuplot_file_name)
((mequal simp) $data_file_name ,$data_file_name)
((mequal simp) $terminal ,(if $wxplot_pngcairo '$pngcairo '$png))
((mequal simp) $file_name ,filename))
(get-pic-size-opt)
(list args)))))
(when images
(slide-tag images))))
"")))
(defmspec $wxanimate_draw (scene)
(wxanimate-draw scene '($gr2d)))
(defmspec $with_slider_draw (scene)
(wxanimate-draw scene '($gr2d)))
(defmspec $with_slider_draw3d (scene)
(wxanimate-draw scene '($gr3d)))
(defmspec $wxanimate_draw3d (scene)
(wxanimate-draw scene '($gr3d)))
(defun $wxplot2d (&rest args)
(let ((preamble ($wxplot_preamble))
(system-preamble (get-plot-option-string '$gnuplot_preamble 2))
(filename (wxplot-filename)))
(when (string= system-preamble "false")
(setq system-preamble ""))
(setq preamble (format nil "~a; ~a" preamble system-preamble))
(dolist (arg args)
(if (and (listp arg) (eql (cadr arg) '$gnuplot_preamble))
(setq preamble (format nil "~a; ~a" preamble (caddr arg)))))
(apply #'$plot2d `(,@args
((mlist simp) $plot_format $gnuplot)
((mlist simp) $gnuplot_term ,(if $wxplot_pngcairo '$pngcairo '$png))
((mlist simp) $gnuplot_preamble ,preamble)
((mlist simp) $gnuplot_out_file ,filename)))
($ldisp `((wxxmltag simp) ,filename "img")))
"")
(defun $wxplot3d (&rest args)
(let ((preamble ($wxplot_preamble))
(system-preamble (get-plot-option-string '$gnuplot_preamble 2))
(filename (wxplot-filename)))
(when (string= system-preamble "false")
(setq system-preamble ""))
(setq preamble (format nil "~a; ~a" preamble system-preamble))
(dolist (arg args)
(if (and (listp arg) (eql (cadr arg) '$gnuplot_preamble))
(setq preamble (format nil "~a; ~a"
preamble (caddr arg)))))
(apply #'$plot3d `(,@args
((mlist simp) $plot_format $gnuplot)
((mlist simp) $gnuplot_term ,(if $wxplot_pngcairo '$pngcairo '$png))
((mlist simp) $gnuplot_preamble ,preamble)
((mlist simp) $gnuplot_out_file ,filename)))
($ldisp `((wxxmltag simp) ,filename "img")))
"")
(defun $wxdraw2d (&rest args)
(apply #'$wxdraw
(list (cons '($gr2d) args))))
(defun $wxdraw3d (&rest args)
(apply #'$wxdraw
(list (cons '($gr3d) args))))
(defvar $display_graphics t)
(defun $wxdraw (&rest args)
(unless ($get '$draw '$version) ($load "draw"))
(let* ((filename (wxplot-filename nil))
(*windows-OS* t)
res)
(setq res ($apply '$draw
(append
'((mlist simp))
args
`(((mequal simp) $gnuplot_file_name ,$gnuplot_file_name)
((mequal simp) $data_file_name ,$data_file_name)
((mequal simp) $terminal ,(if $wxplot_pngcairo '$pngcairo '$png))
((mequal simp) $file_name ,filename))
(cond
((eq ($get '$draw '$version) 1)
`(((mequal simp) $pic_width ,($first $wxplot_size))
((mequal simp) $pic_height ,($second $wxplot_size))))
(t
`(((mequal simp) $dimensions ,$wxplot_size)))))))
(if $display_graphics
(progn
($ldisp `((wxxmltag simp) ,(format nil "~a.png" filename) "img"))
(setq res ""))
(setf res `((wxxmltag simp) ,(format nil "~a.png" filename) "img")))
res))
(defmspec $wxdraw_list (args)
(unless ($get '$draw '$version) ($load "draw"))
(let (($display_graphics nil))
($ldisp (cons '(mlist simp) (mapcar #'meval (cdr args)))))
'$done)
(defun $wximplicit_plot (&rest args)
(let ((preamble ($wxplot_preamble))
(system-preamble (get-plot-option-string '$gnuplot_preamble 2))
(filename (wxplot-filename)))
(when (string= system-preamble "false")
(setq system-preamble ""))
(setq preamble (format nil "~a; ~a" preamble system-preamble))
(dolist (arg args)
(if (and (listp arg) (eql (cadr arg) '$gnuplot_preamble))
(setq preamble (format nil "~a; ~a"
preamble (caddr arg)))))
($apply '$implicit_plot `((mlist simp) ,@args
((mlist simp) $plot_format $gnuplot)
((mlist simp) $gnuplot_term ,(if $wxplot_pngcairo '$pngcairo '$png))
((mlist simp) $gnuplot_preamble ,preamble)
((mlist simp) $gnuplot_out_file ,filename)))
($ldisp `((wxxmltag simp) ,filename "img")))
"")
(defun $wxcontour_plot (&rest args)
(let ((preamble ($wxplot_preamble))
($plot_options $plot_options)
(system-preamble (get-plot-option-string '$gnuplot_preamble 2))
(filename (wxplot-filename)))
(when (string= system-preamble "false")
(setq system-preamble ""))
(setq preamble (format nil "~a; ~a" preamble system-preamble))
(dolist (arg args)
(if (and (listp arg) (eql (cadr arg) '$gnuplot_preamble))
(setq preamble (format nil "~a; ~a" preamble (caddr arg)))))
(apply #'$contour_plot `(,@args
((mlist simp) $gnuplot_term ,(if $wxplot_pngcairo '$pngcairo '$png))
((mlist simp) $plot_format $gnuplot)
((mlist simp) $gnuplot_preamble ,preamble)
((mlist simp) $gnuplot_out_file ,filename)))
($ldisp `((wxxmltag simp) ,filename "img")))
"")
(defun $show_image (file)
($ldisp `((wxxmltag simp) ,file "img" "del=\"no\"")))
;;
;; Port of Barton Willis's texput function.
;;
(defun $wxxmlput (e s &optional tx lbp rbp)
(when (stringp e)
(setf e (define-symbol e)))
(cond (($listp s)
(setq s (margs s)))
((stringp s)
(setq s (list s)))
((atom s)
(setq s (list (wxxml-stripdollar ($sconcat s))))))
(when (or (null lbp) (not (integerp lbp)))
(setq lbp 180))
(when (or (null rbp) (not (integerp rbp)))
(setq rbp 180))
(cond ((null tx)
(if (stringp (nth 0 s))
(putprop e (nth 0 s) 'wxxmlword)
(let ((fun-name (gensym))
(fun-body
`(append l
(list
(let ((f-x (mfuncall ',s x)))
(if (stringp f-x)
f-x
(merror "wxxml: function ~s did not return a string.~%"
($sconcat ',(nth 0 s))))))
r)))
(setf (symbol-function fun-name) (coerce `(lambda (x l r) ,fun-body) 'function))
(setf (get e 'wxxml) fun-name))))
((eq tx '$matchfix)
(putprop e 'wxxml-matchfix 'wxxml)
(cond ((< (length s) 2)
(merror
"Improper 2nd argument to `wxxmlput' for matchfix operator."))
((eq (length s) 2)
(putprop e (list (list (nth 0 s)) (nth 1 s)) 'wxxmlsym))
(t
(putprop
e (list (list (nth 0 s)) (nth 1 s) (nth 2 s)) 'wxxmlsym))))
((eq tx '$prefix)
(putprop e 'wxxml-prefix 'wxxml)
(putprop e s 'wxxmlsym)
(putprop e lbp 'wxxml-lbp)
(putprop e rbp 'wxxml-rbp))
((eq tx '$infix)
(putprop e 'wxxml-infix 'wxxml)
(putprop e s 'wxxmlsym)
(putprop e lbp 'wxxml-lbp)
(putprop e rbp 'wxxml-rbp))
((eq tx '$postfix)
(putprop e 'wxxml-postfix 'wxxml)
(putprop e s 'wxxmlsym)
(putprop e lbp 'wxxml-lbp))
(t (merror "Improper arguments to `wxxmlput'."))))
;;;;;;;;;;;;;
;; Auto-loaded functions
;;;;
(setf (get '$lbfgs 'autoload) "lbfgs")
(setf (get '$lcm 'autoload) "functs")
;;;;;;;;;;;;;
;; Statistics functions
;;;;
(defvar $draw_compound t)
(defmacro create-statistics-wrapper (fun wxfun)
`(defun ,wxfun (&rest args)
(let (($draw_compound nil) res)
(declare (special $draw_compound))
(setq res ($apply ',fun (cons '(mlist simp) args)))
($apply '$wxdraw2d res))))
(create-statistics-wrapper $histogram $wxhistogram)
(create-statistics-wrapper $scatterplot $wxscatterplot)
(create-statistics-wrapper $barsplot $wxbarsplot)
(create-statistics-wrapper $piechart $wxpiechart)
(create-statistics-wrapper $boxplot $wxboxplot)
(dolist (fun '($histogram
$scatterplot
$barsplot
$piechart
$boxplot))
(setf (get fun 'autoload) "descriptive"))
(dolist (fun '($mean
$median
$var
$std
$test_mean
$test_means_difference
$test_normality
$simple_linear_regression
$subsample))
(setf (get fun 'autoload) "stats"))
(setf (get '$lsquares_estimates 'autoload) "lsquares")
(setf (get '$to_poly_solve 'autoload) "to_poly_solver")
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; Redefine load so that it prints the list of functions
;; used for autocompletion.
;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(defun symbol-to-string (s)
(maybe-invert-string-case (symbol-name (stripdollar s))))
(defun $print_function (fun)
(let ((fun-name (symbol-to-string (caar fun)))
(*print-circle* nil)
(args (mapcar (lambda (u)
(cond ((atom u) (symbol-to-string u))
((eq (caar u) 'mlist)
($concat "[" (symbol-to-string
(if (atom (cadr u)) (cadr u) (cadadr u))) "]"))
(t (symbol-to-string (cadr u)))))
(cdr fun))))
(format nil "FUNCTION: ~a$TEMPLATE: ~a(~{<~a>~^, ~})" fun-name fun-name args)))
(defun $add_function_template (&rest functs)
(let ((*print-circle* nil))
(format t "<wxxml-symbols>~{~a~^$~}</wxxml-symbols>" (mapcar #'$print_function functs))
(cons '(mlist simp) functs)))
;;;
;;; Rewrite of the function load (maxima/src/mload.lisp)
;;; (displays functions after loading a maxima package
;;;
(no-warning
(defun $load (filename)
(let ((searched-for
($file_search1 filename
'((mlist) $file_search_maxima $file_search_lisp )))
type)
(setq type ($file_type searched-for))
(case type
(($maxima)
($batchload searched-for)
(format t "<wxxml-symbols>~{~a~^$~}</wxxml-symbols>"
(append (mapcar #'$print_function (cdr ($append $functions $macros)))
(mapcar #'symbol-to-string (cdr $values)))))
(($lisp $object)
;; do something about handling errors
;; during loading. Foobar fail act errors.
(no-warning
(load-and-tell searched-for)))
(t
(merror "Maxima bug: Unknown file type ~M" type)))
searched-for)))
;;;;;;;;;;;;;;;;;;;;;
;; table_form implementation
(defun make-zeros (n)
(cons '(mlist simp) (loop for i from 1 to n collect "")))
(defun take-first (l n)
(if (= n 0) nil (cons (first l) (take-first (rest l) (- n 1)))))
(defun $table_form (mat &rest opts)
(when (mapatom mat)
($error "table_form: the argument should not be an atom."))
(setq mat ($args mat))
(unless (every #'$listp (cdr mat))
($error "table_form: data can not be displayed as a table."))
(setq opts (cons '(mlist simp) opts))
(let ((row-names ($assoc '$row_names opts))
(col-names ($assoc '$column_names opts))
(m (apply #'max (mapcar '$length (cdr mat))))
(n (length (cdr mat)))
(mtrx '(special)))
(when ($assoc '$transpose opts)
(rotatef m n))
(when (eq row-names '$auto)
(setq row-names (cons '(mlist simp) (loop for i from 1 to n collect i))))
(when (eq col-names '$auto)
(setq col-names (cons '(mlist simp) (loop for i from 1 to m collect i))))
(when row-names
(setq row-names ($append row-names (make-zeros (- n ($length row-names)))))
(setq row-names (cons '(mlist simp) (take-first (cdr row-names) n))))
(when col-names
(setq col-names ($append col-names (make-zeros (- m ($length col-names)))))
(setq col-names (cons '(mlist simp) (take-first (cdr col-names) m))))
(when (and row-names col-names)
(setq col-names ($cons "" col-names)))
(setq mat (cons '(mlist simp) (mapcar
(lambda (r) ($append r (make-zeros (- m ($length r)))))
(cdr mat))))
(setq mat ($apply '$matrix mat))
(when ($assoc '$transpose opts)
(setq mat ($transpose mat)))
(when row-names
(setq mat (cons '($matrix simp)
(mapcar #'$append (cdr ($transpose row-names)) (cdr mat))))
(setq mtrx (cons 'rownames mtrx)))
(when col-names
(setq mat (cons '(matrix simp)
(cons col-names (cdr mat))))
(setq mtrx (cons 'colnames mtrx)))
($ldisp (cons (append '($matrix simp) mtrx) (cdr mat)))
'$done))
;; Load the initial functions (from mac-init.mac)
(let ((*print-circle* nil))
(format t "<wxxml-symbols>~{~a~^$~}</wxxml-symbols>"
(mapcar #'$print_function (cdr ($append $functions $macros)))))
(no-warning
(defun mredef-check (fnname)
(declare (ignore fnname))
t))
(when ($file_search "wxmaxima-init")
($load "wxmaxima-init"))
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