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+;; Calculator for GNU Emacs, part II [calc-prog.el]
+;; Copyright (C) 1990, 1991, 1992, 1993 Free Software Foundation, Inc.
+;; Written by Dave Gillespie, daveg@synaptics.com.
+
+;; This file is part of GNU Emacs.
+
+;; GNU Emacs is distributed in the hope that it will be useful,
+;; but WITHOUT ANY WARRANTY. No author or distributor
+;; accepts responsibility to anyone for the consequences of using it
+;; or for whether it serves any particular purpose or works at all,
+;; unless he says so in writing. Refer to the GNU Emacs General Public
+;; License for full details.
+
+;; Everyone is granted permission to copy, modify and redistribute
+;; GNU Emacs, but only under the conditions described in the
+;; GNU Emacs General Public License. A copy of this license is
+;; supposed to have been given to you along with GNU Emacs so you
+;; can know your rights and responsibilities. It should be in a
+;; file named COPYING. Among other things, the copyright notice
+;; and this notice must be preserved on all copies.
+
+
+
+;; This file is autoloaded from calc-ext.el.
+(require 'calc-ext)
+
+(require 'calc-macs)
+
+(defun calc-Need-calc-prog () nil)
+
+
+(defun calc-equal-to (arg)
+ (interactive "P")
+ (calc-wrapper
+ (if (and (integerp arg) (> arg 2))
+ (calc-enter-result arg "eq" (cons 'calcFunc-eq (calc-top-list-n arg)))
+ (calc-binary-op "eq" 'calcFunc-eq arg)))
+)
+
+(defun calc-remove-equal (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-unary-op "rmeq" 'calcFunc-rmeq arg))
+)
+
+(defun calc-not-equal-to (arg)
+ (interactive "P")
+ (calc-wrapper
+ (if (and (integerp arg) (> arg 2))
+ (calc-enter-result arg "neq" (cons 'calcFunc-neq (calc-top-list-n arg)))
+ (calc-binary-op "neq" 'calcFunc-neq arg)))
+)
+
+(defun calc-less-than (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "lt" 'calcFunc-lt arg))
+)
+
+(defun calc-greater-than (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "gt" 'calcFunc-gt arg))
+)
+
+(defun calc-less-equal (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "leq" 'calcFunc-leq arg))
+)
+
+(defun calc-greater-equal (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "geq" 'calcFunc-geq arg))
+)
+
+(defun calc-in-set (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "in" 'calcFunc-in arg))
+)
+
+(defun calc-logical-and (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "land" 'calcFunc-land arg 1))
+)
+
+(defun calc-logical-or (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-binary-op "lor" 'calcFunc-lor arg 0))
+)
+
+(defun calc-logical-not (arg)
+ (interactive "P")
+ (calc-wrapper
+ (calc-unary-op "lnot" 'calcFunc-lnot arg))
+)
+
+(defun calc-logical-if ()
+ (interactive)
+ (calc-wrapper
+ (calc-enter-result 3 "if" (cons 'calcFunc-if (calc-top-list-n 3))))
+)
+
+
+
+
+
+(defun calc-timing (n)
+ (interactive "P")
+ (calc-wrapper
+ (calc-change-mode 'calc-timing n nil t)
+ (message (if calc-timing
+ "Reporting timing of slow commands in Trail."
+ "Not reporting timing of commands.")))
+)
+
+(defun calc-pass-errors ()
+ (interactive)
+ ;; The following two cases are for the new, optimizing byte compiler
+ ;; or the standard 18.57 byte compiler, respectively.
+ (condition-case err
+ (let ((place (aref (nth 2 (nth 2 (symbol-function 'calc-do))) 15)))
+ (or (memq (car-safe (car-safe place)) '(error xxxerror))
+ (setq place (aref (nth 2 (nth 2 (symbol-function 'calc-do))) 27)))
+ (or (memq (car (car place)) '(error xxxerror))
+ (error "foo"))
+ (setcar (car place) 'xxxerror))
+ (error (error "The calc-do function has been modified; unable to patch.")))
+)
+
+(defun calc-user-define ()
+ (interactive)
+ (message "Define user key: z-")
+ (let ((key (read-char)))
+ (if (= (calc-user-function-classify key) 0)
+ (error "Can't redefine \"?\" key"))
+ (let ((func (intern (completing-read (concat "Set key z "
+ (char-to-string key)
+ " to command: ")
+ obarray
+ 'commandp
+ t
+ "calc-"))))
+ (let* ((kmap (calc-user-key-map))
+ (old (assq key kmap)))
+ (if old
+ (setcdr old func)
+ (setcdr kmap (cons (cons key func) (cdr kmap)))))))
+)
+
+(defun calc-user-undefine ()
+ (interactive)
+ (message "Undefine user key: z-")
+ (let ((key (read-char)))
+ (if (= (calc-user-function-classify key) 0)
+ (error "Can't undefine \"?\" key"))
+ (let* ((kmap (calc-user-key-map)))
+ (delq (or (assq key kmap)
+ (assq (upcase key) kmap)
+ (assq (downcase key) kmap)
+ (error "No such user key is defined"))
+ kmap)))
+)
+
+(defun calc-user-define-formula ()
+ (interactive)
+ (calc-wrapper
+ (let* ((form (calc-top 1))
+ (arglist nil)
+ (is-lambda (and (eq (car-safe form) 'calcFunc-lambda)
+ (>= (length form) 2)))
+ odef key keyname cmd cmd-base func alist is-symb)
+ (if is-lambda
+ (setq arglist (mapcar (function (lambda (x) (nth 1 x)))
+ (nreverse (cdr (reverse (cdr form)))))
+ form (nth (1- (length form)) form))
+ (calc-default-formula-arglist form)
+ (setq arglist (sort arglist 'string-lessp)))
+ (message "Define user key: z-")
+ (setq key (read-char))
+ (if (= (calc-user-function-classify key) 0)
+ (error "Can't redefine \"?\" key"))
+ (setq key (and (not (memq key '(13 32))) key)
+ keyname (and key
+ (if (or (and (<= ?0 key) (<= key ?9))
+ (and (<= ?a key) (<= key ?z))
+ (and (<= ?A key) (<= key ?Z)))
+ (char-to-string key)
+ (format "%03d" key)))
+ odef (assq key (calc-user-key-map)))
+ (while
+ (progn
+ (setq cmd (completing-read "Define M-x command name: "
+ obarray 'commandp nil
+ (if (and odef (symbolp (cdr odef)))
+ (symbol-name (cdr odef))
+ "calc-"))
+ cmd-base (and (string-match "\\`calc-\\(.+\\)\\'" cmd)
+ (math-match-substring cmd 1))
+ cmd (and (not (or (string-equal cmd "")
+ (string-equal cmd "calc-")))
+ (intern cmd)))
+ (and cmd
+ (fboundp cmd)
+ odef
+ (not
+ (y-or-n-p
+ (if (get cmd 'calc-user-defn)
+ (concat "Replace previous definition for "
+ (symbol-name cmd) "? ")
+ "That name conflicts with a built-in Emacs function. Replace this function? "))))))
+ (if (and key (not cmd))
+ (setq cmd (intern (concat "calc-User-" keyname))))
+ (while
+ (progn
+ (setq func (completing-read "Define algebraic function name: "
+ obarray 'fboundp nil
+ (concat "calcFunc-"
+ (if cmd-base
+ (if (string-match
+ "\\`User-.+" cmd-base)
+ (concat
+ "User"
+ (substring cmd-base 5))
+ cmd-base)
+ "")))
+ func (and (not (or (string-equal func "")
+ (string-equal func "calcFunc-")))
+ (intern func)))
+ (and func
+ (fboundp func)
+ (not (fboundp cmd))
+ odef
+ (not
+ (y-or-n-p
+ (if (get func 'calc-user-defn)
+ (concat "Replace previous definition for "
+ (symbol-name func) "? ")
+ "That name conflicts with a built-in Emacs function. Replace this function? "))))))
+ (if (not func)
+ (setq func (intern (concat "calcFunc-User"
+ (or keyname
+ (and cmd (symbol-name cmd))
+ (format "%05d" (% (random) 10000)))))))
+ (if is-lambda
+ (setq alist arglist)
+ (while
+ (progn
+ (setq alist (read-from-minibuffer "Function argument list: "
+ (if arglist
+ (prin1-to-string arglist)
+ "()")
+ minibuffer-local-map
+ t))
+ (and (not (calc-subsetp alist arglist))
+ (not (y-or-n-p
+ "Okay for arguments that don't appear in formula to be ignored? "))))))
+ (setq is-symb (and alist
+ func
+ (y-or-n-p
+ "Leave it symbolic for non-constant arguments? ")))
+ (setq alist (mapcar (function (lambda (x)
+ (or (cdr (assq x '((nil . arg-nil)
+ (t . arg-t))))
+ x))) alist))
+ (if cmd
+ (progn
+ (calc-need-macros)
+ (fset cmd
+ (list 'lambda
+ '()
+ '(interactive)
+ (list 'calc-wrapper
+ (list 'calc-enter-result
+ (length alist)
+ (let ((name (symbol-name (or func cmd))))
+ (and (string-match
+ "\\([^-][^-]?[^-]?[^-]?\\)[^-]*\\'"
+ name)
+ (math-match-substring name 1)))
+ (list 'cons
+ (list 'quote func)
+ (list 'calc-top-list-n
+ (length alist)))))))
+ (put cmd 'calc-user-defn t)))
+ (let ((body (list 'math-normalize (calc-fix-user-formula form))))
+ (fset func
+ (append
+ (list 'lambda alist)
+ (and is-symb
+ (mapcar (function (lambda (v)
+ (list 'math-check-const v t)))
+ alist))
+ (list body))))
+ (put func 'calc-user-defn form)
+ (setq math-integral-cache-state nil)
+ (if key
+ (let* ((kmap (calc-user-key-map))
+ (old (assq key kmap)))
+ (if old
+ (setcdr old cmd)
+ (setcdr kmap (cons (cons key cmd) (cdr kmap)))))))
+ (message ""))
+)
+
+(defun calc-default-formula-arglist (form)
+ (if (consp form)
+ (if (eq (car form) 'var)
+ (if (or (memq (nth 1 form) arglist)
+ (math-const-var form))
+ ()
+ (setq arglist (cons (nth 1 form) arglist)))
+ (calc-default-formula-arglist-step (cdr form))))
+)
+
+(defun calc-default-formula-arglist-step (l)
+ (and l
+ (progn
+ (calc-default-formula-arglist (car l))
+ (calc-default-formula-arglist-step (cdr l))))
+)
+
+(defun calc-subsetp (a b)
+ (or (null a)
+ (and (memq (car a) b)
+ (calc-subsetp (cdr a) b)))
+)
+
+(defun calc-fix-user-formula (f)
+ (if (consp f)
+ (let (temp)
+ (cond ((and (eq (car f) 'var)
+ (memq (setq temp (or (cdr (assq (nth 1 f) '((nil . arg-nil)
+ (t . arg-t))))
+ (nth 1 f)))
+ alist))
+ temp)
+ ((or (math-constp f) (eq (car f) 'var))
+ (list 'quote f))
+ ((and (eq (car f) 'calcFunc-eval)
+ (= (length f) 2))
+ (list 'let '((calc-simplify-mode nil))
+ (list 'math-normalize (calc-fix-user-formula (nth 1 f)))))
+ ((and (eq (car f) 'calcFunc-evalsimp)
+ (= (length f) 2))
+ (list 'math-simplify (calc-fix-user-formula (nth 1 f))))
+ ((and (eq (car f) 'calcFunc-evalextsimp)
+ (= (length f) 2))
+ (list 'math-simplify-extended
+ (calc-fix-user-formula (nth 1 f))))
+ (t
+ (cons 'list
+ (cons (list 'quote (car f))
+ (mapcar 'calc-fix-user-formula (cdr f)))))))
+ f)
+)
+
+(defun calc-user-define-composition ()
+ (interactive)
+ (calc-wrapper
+ (if (eq calc-language 'unform)
+ (error "Can't define formats for unformatted mode"))
+ (let* ((comp (calc-top 1))
+ (func (intern (completing-read "Define format for which function: "
+ obarray 'fboundp nil "calcFunc-")))
+ (comps (get func 'math-compose-forms))
+ entry entry2
+ (arglist nil)
+ (alist nil))
+ (if (math-zerop comp)
+ (if (setq entry (assq calc-language comps))
+ (put func 'math-compose-forms (delq entry comps)))
+ (calc-default-formula-arglist comp)
+ (setq arglist (sort arglist 'string-lessp))
+ (while
+ (progn
+ (setq alist (read-from-minibuffer "Composition argument list: "
+ (if arglist
+ (prin1-to-string arglist)
+ "()")
+ minibuffer-local-map
+ t))
+ (and (not (calc-subsetp alist arglist))
+ (y-or-n-p
+ "Okay for arguments that don't appear in formula to be invisible? "))))
+ (or (setq entry (assq calc-language comps))
+ (put func 'math-compose-forms
+ (cons (setq entry (list calc-language)) comps)))
+ (or (setq entry2 (assq (length alist) (cdr entry)))
+ (setcdr entry
+ (cons (setq entry2 (list (length alist))) (cdr entry))))
+ (setcdr entry2 (list 'lambda alist (calc-fix-user-formula comp))))
+ (calc-pop-stack 1)
+ (calc-do-refresh)))
+)
+
+
+(defun calc-user-define-kbd-macro (arg)
+ (interactive "P")
+ (or last-kbd-macro
+ (error "No keyboard macro defined"))
+ (message "Define last kbd macro on user key: z-")
+ (let ((key (read-char)))
+ (if (= (calc-user-function-classify key) 0)
+ (error "Can't redefine \"?\" key"))
+ (let ((cmd (intern (completing-read "Full name for new command: "
+ obarray
+ 'commandp
+ nil
+ (concat "calc-User-"
+ (if (or (and (>= key ?a)
+ (<= key ?z))
+ (and (>= key ?A)
+ (<= key ?Z))
+ (and (>= key ?0)
+ (<= key ?9)))
+ (char-to-string key)
+ (format "%03d" key)))))))
+ (and (fboundp cmd)
+ (not (let ((f (symbol-function cmd)))
+ (or (stringp f)
+ (and (consp f)
+ (eq (car-safe (nth 3 f))
+ 'calc-execute-kbd-macro)))))
+ (error "Function %s is already defined and not a keyboard macro"
+ cmd))
+ (put cmd 'calc-user-defn t)
+ (fset cmd (if (< (prefix-numeric-value arg) 0)
+ last-kbd-macro
+ (list 'lambda
+ '(arg)
+ '(interactive "P")
+ (list 'calc-execute-kbd-macro
+ (vector (key-description last-kbd-macro)
+ last-kbd-macro)
+ 'arg
+ (format "z%c" key)))))
+ (let* ((kmap (calc-user-key-map))
+ (old (assq key kmap)))
+ (if old
+ (setcdr old cmd)
+ (setcdr kmap (cons (cons key cmd) (cdr kmap)))))))
+)
+
+
+(defun calc-edit-user-syntax ()
+ (interactive)
+ (calc-wrapper
+ (let ((lang calc-language))
+ (calc-edit-mode (list 'calc-finish-user-syntax-edit (list 'quote lang))
+ t
+ (format "Editing %s-Mode Syntax Table"
+ (cond ((null lang) "Normal")
+ ((eq lang 'tex) "TeX")
+ (t (capitalize (symbol-name lang))))))
+ (calc-write-parse-table (cdr (assq lang calc-user-parse-tables))
+ lang)))
+ (calc-show-edit-buffer)
+)
+
+(defun calc-finish-user-syntax-edit (lang)
+ (let ((tab (calc-read-parse-table calc-original-buffer lang))
+ (entry (assq lang calc-user-parse-tables)))
+ (if tab
+ (setcdr (or entry
+ (car (setq calc-user-parse-tables
+ (cons (list lang) calc-user-parse-tables))))
+ tab)
+ (if entry
+ (setq calc-user-parse-tables
+ (delq entry calc-user-parse-tables)))))
+ (switch-to-buffer calc-original-buffer)
+)
+
+(defun calc-write-parse-table (tab calc-lang)
+ (let ((p tab))
+ (while p
+ (calc-write-parse-table-part (car (car p)))
+ (insert ":= "
+ (let ((math-format-hash-args t))
+ (math-format-flat-expr (cdr (car p)) 0))
+ "\n")
+ (setq p (cdr p))))
+)
+
+(defun calc-write-parse-table-part (p)
+ (while p
+ (cond ((stringp (car p))
+ (let ((s (car p)))
+ (if (and (string-match "\\`\\\\dots\\>" s)
+ (not (eq calc-lang 'tex)))
+ (setq s (concat ".." (substring s 5))))
+ (if (or (and (string-match
+ "[a-zA-Z0-9\"{}]\\|\\`:=\\'\\|\\`#\\|\\`%%" s)
+ (string-match "[^a-zA-Z0-9\\]" s))
+ (and (assoc s '((")") ("]") (">")))
+ (not (cdr p))))
+ (insert (prin1-to-string s) " ")
+ (insert s " "))))
+ ((integerp (car p))
+ (insert "#")
+ (or (= (car p) 0)
+ (insert "/" (int-to-string (car p))))
+ (insert " "))
+ ((and (eq (car (car p)) '\?) (equal (car (nth 2 (car p))) "$$"))
+ (insert (car (nth 1 (car p))) " "))
+ (t
+ (insert "{ ")
+ (calc-write-parse-table-part (nth 1 (car p)))
+ (insert "}" (symbol-name (car (car p))))
+ (if (nth 2 (car p))
+ (calc-write-parse-table-part (list (car (nth 2 (car p)))))
+ (insert " "))))
+ (setq p (cdr p)))
+)
+
+(defun calc-read-parse-table (calc-buf calc-lang)
+ (let ((tab nil))
+ (while (progn
+ (skip-chars-forward "\n\t ")
+ (not (eobp)))
+ (if (looking-at "%%")
+ (end-of-line)
+ (let ((pt (point))
+ (p (calc-read-parse-table-part ":=[\n\t ]+" ":=")))
+ (or (stringp (car p))
+ (and (integerp (car p))
+ (stringp (nth 1 p)))
+ (progn
+ (goto-char pt)
+ (error "Malformed syntax rule")))
+ (let ((pos (point)))
+ (end-of-line)
+ (let* ((str (buffer-substring pos (point)))
+ (exp (save-excursion
+ (set-buffer calc-buf)
+ (let ((calc-user-parse-tables nil)
+ (calc-language nil)
+ (math-expr-opers math-standard-opers)
+ (calc-hashes-used 0))
+ (math-read-expr
+ (if (string-match ",[ \t]*\\'" str)
+ (substring str 0 (match-beginning 0))
+ str))))))
+ (if (eq (car-safe exp) 'error)
+ (progn
+ (goto-char (+ pos (nth 1 exp)))
+ (error (nth 2 exp))))
+ (setq tab (nconc tab (list (cons p exp)))))))))
+ tab)
+)
+
+(defun calc-fix-token-name (name &optional unquoted)
+ (cond ((string-match "\\`\\.\\." name)
+ (concat "\\dots" (substring name 2)))
+ ((and (equal name "{") (memq calc-lang '(tex eqn)))
+ "(")
+ ((and (equal name "}") (memq calc-lang '(tex eqn)))
+ ")")
+ ((and (equal name "&") (eq calc-lang 'tex))
+ ",")
+ ((equal name "#")
+ (search-backward "#")
+ (error "Token '#' is reserved"))
+ ((and unquoted (string-match "#" name))
+ (error "Tokens containing '#' must be quoted"))
+ ((not (string-match "[^ ]" name))
+ (search-backward "\"" nil t)
+ (error "Blank tokens are not allowed"))
+ (t name))
+)
+
+(defun calc-read-parse-table-part (term eterm)
+ (let ((part nil)
+ (quoted nil))
+ (while (progn
+ (skip-chars-forward "\n\t ")
+ (if (eobp) (error "Expected '%s'" eterm))
+ (not (looking-at term)))
+ (cond ((looking-at "%%")
+ (end-of-line))
+ ((looking-at "{[\n\t ]")
+ (forward-char 2)
+ (let ((p (calc-read-parse-table-part "}" "}")))
+ (or (looking-at "[+*?]")
+ (error "Expected '+', '*', or '?'"))
+ (let ((sym (intern (buffer-substring (point) (1+ (point))))))
+ (forward-char 1)
+ (looking-at "[^\n\t ]*")
+ (let ((sep (buffer-substring (point) (match-end 0))))
+ (goto-char (match-end 0))
+ (and (eq sym '\?) (> (length sep) 0)
+ (not (equal sep "$")) (not (equal sep "."))
+ (error "Separator not allowed with { ... }?"))
+ (if (string-match "\\`\"" sep)
+ (setq sep (read-from-string sep)))
+ (setq sep (calc-fix-token-name sep))
+ (setq part (nconc part
+ (list (list sym p
+ (and (> (length sep) 0)
+ (cons sep p))))))))))
+ ((looking-at "}")
+ (error "Too many }'s"))
+ ((looking-at "\"")
+ (setq quoted (calc-fix-token-name (read (current-buffer)))
+ part (nconc part (list quoted))))
+ ((looking-at "#\\(\\(/[0-9]+\\)?\\)[\n\t ]")
+ (setq part (nconc part (list (if (= (match-beginning 1)
+ (match-end 1))
+ 0
+ (string-to-int
+ (buffer-substring
+ (1+ (match-beginning 1))
+ (match-end 1)))))))
+ (goto-char (match-end 0)))
+ ((looking-at ":=[\n\t ]")
+ (error "Misplaced ':='"))
+ (t
+ (looking-at "[^\n\t ]*")
+ (let ((end (match-end 0)))
+ (setq part (nconc part (list (calc-fix-token-name
+ (buffer-substring
+ (point) end) t))))
+ (goto-char end)))))
+ (goto-char (match-end 0))
+ (let ((len (length part)))
+ (while (and (> len 1)
+ (let ((last (nthcdr (setq len (1- len)) part)))
+ (and (assoc (car last) '((")") ("]") (">")))
+ (not (eq (car last) quoted))
+ (setcar last
+ (list '\? (list (car last)) '("$$"))))))))
+ part)
+)
+
+
+(defun calc-user-define-invocation ()
+ (interactive)
+ (or last-kbd-macro
+ (error "No keyboard macro defined"))
+ (setq calc-invocation-macro last-kbd-macro)
+ (message "Use `M-# Z' to invoke this macro")
+)
+
+
+(defun calc-user-define-edit (prefix)
+ (interactive "P") ; but no calc-wrapper!
+ (message "Edit definition of command: z-")
+ (let* ((key (read-char))
+ (def (or (assq key (calc-user-key-map))
+ (assq (upcase key) (calc-user-key-map))
+ (assq (downcase key) (calc-user-key-map))
+ (error "No command defined for that key")))
+ (cmd (cdr def)))
+ (if (symbolp cmd)
+ (setq cmd (symbol-function cmd)))
+ (cond ((or (stringp cmd)
+ (and (consp cmd)
+ (eq (car-safe (nth 3 cmd)) 'calc-execute-kbd-macro)))
+ (if (and (>= (prefix-numeric-value prefix) 0)
+ (fboundp 'edit-kbd-macro)
+ (symbolp (cdr def))
+ (eq major-mode 'calc-mode))
+ (progn
+ (if (and (< (window-width) (screen-width))
+ calc-display-trail)
+ (let ((win (get-buffer-window (calc-trail-buffer))))
+ (if win
+ (delete-window win))))
+ (edit-kbd-macro (cdr def) prefix nil
+ (function
+ (lambda (x)
+ (and calc-display-trail
+ (calc-wrapper
+ (calc-trail-display 1 t)))))
+ (function
+ (lambda (cmd)
+ (if (stringp (symbol-function cmd))
+ (symbol-function cmd)
+ (let ((mac (nth 1 (nth 3 (symbol-function
+ cmd)))))
+ (if (vectorp mac)
+ (aref mac 1)
+ mac)))))
+ (function
+ (lambda (new cmd)
+ (if (stringp (symbol-function cmd))
+ (fset cmd new)
+ (let ((mac (cdr (nth 3 (symbol-function
+ cmd)))))
+ (if (vectorp (car mac))
+ (progn
+ (aset (car mac) 0
+ (key-description new))
+ (aset (car mac) 1 new))
+ (setcar mac new))))))))
+ (let ((keys (progn (and (fboundp 'edit-kbd-macro)
+ (edit-kbd-macro nil))
+ (fboundp 'MacEdit-parse-keys))))
+ (calc-wrapper
+ (calc-edit-mode (list 'calc-finish-macro-edit
+ (list 'quote def)
+ keys)
+ t)
+ (if keys
+ (let (top
+ (fill-column 70)
+ (fill-prefix nil))
+ (insert "Notations: RET, SPC, TAB, DEL, LFD, NUL"
+ ", C-xxx, M-xxx.\n\n")
+ (setq top (point))
+ (insert (if (stringp cmd)
+ (key-description cmd)
+ (if (vectorp (nth 1 (nth 3 cmd)))
+ (aref (nth 1 (nth 3 cmd)) 0)
+ (key-description (nth 1 (nth 3 cmd)))))
+ "\n")
+ (if (>= (prog2 (forward-char -1)
+ (current-column)
+ (forward-char 1))
+ (screen-width))
+ (fill-region top (point))))
+ (insert "Press C-q to quote control characters like RET"
+ " and TAB.\n"
+ (if (stringp cmd)
+ cmd
+ (if (vectorp (nth 1 (nth 3 cmd)))
+ (aref (nth 1 (nth 3 cmd)) 1)
+ (nth 1 (nth 3 cmd)))))))
+ (calc-show-edit-buffer)
+ (forward-line (if keys 2 1)))))
+ (t (let* ((func (calc-stack-command-p cmd))
+ (defn (and func
+ (symbolp func)
+ (get func 'calc-user-defn))))
+ (if (and defn (calc-valid-formula-func func))
+ (progn
+ (calc-wrapper
+ (calc-edit-mode (list 'calc-finish-formula-edit
+ (list 'quote func)))
+ (insert (math-showing-full-precision
+ (math-format-nice-expr defn (screen-width)))
+ "\n"))
+ (calc-show-edit-buffer))
+ (error "That command's definition cannot be edited"))))))
+)
+
+(defun calc-finish-macro-edit (def keys)
+ (forward-line 1)
+ (if (and keys (looking-at "\n")) (forward-line 1))
+ (let* ((true-str (buffer-substring (point) (point-max)))
+ (str true-str))
+ (if keys (setq str (MacEdit-parse-keys str)))
+ (if (symbolp (cdr def))
+ (if (stringp (symbol-function (cdr def)))
+ (fset (cdr def) str)
+ (let ((mac (cdr (nth 3 (symbol-function (cdr def))))))
+ (if (vectorp (car mac))
+ (progn
+ (aset (car mac) 0 (if keys true-str (key-description str)))
+ (aset (car mac) 1 str))
+ (setcar mac str))))
+ (setcdr def str)))
+)
+
+;;; The following are hooks into the MacEdit package from macedit.el.
+(put 'calc-execute-extended-command 'MacEdit-print
+ (function (lambda ()
+ (setq macro-str (concat "\excalc-" macro-str))))
+)
+
+(put 'calcDigit-start 'MacEdit-print
+ (function (lambda ()
+ (if calc-algebraic-mode
+ (calc-macro-edit-algebraic)
+ (MacEdit-unread-chars key-last)
+ (let ((str "")
+ (min-bsp 0)
+ ch last)
+ (while (and (setq ch (MacEdit-read-char))
+ (or (and (>= ch ?0) (<= ch ?9))
+ (memq ch '(?\. ?e ?\_ ?n ?\: ?\# ?M
+ ?o ?h ?\@ ?\"))
+ (and (memq ch '(?\' ?m ?s))
+ (string-match "[@oh]" str))
+ (and (or (and (>= ch ?a) (<= ch ?z))
+ (and (>= ch ?A) (<= ch ?Z)))
+ (string-match
+ "^[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#"
+ str))
+ (and (memq ch '(?\177 ?\C-h))
+ (> (length str) 0))
+ (and (memq ch '(?+ ?-))
+ (> (length str) 0)
+ (eq (aref str (1- (length str)))
+ ?e))))
+ (if (or (and (>= ch ?0) (<= ch ?9))
+ (and (or (not (memq ch '(?\177 ?\C-h)))
+ (<= (length str) min-bsp))
+ (setq min-bsp (1+ (length str)))))
+ (setq str (concat str (char-to-string ch)))
+ (setq str (substring str 0 -1))))
+ (if (memq ch '(32 10 13))
+ (setq str (concat str (char-to-string ch)))
+ (MacEdit-unread-chars ch))
+ (insert "type \"")
+ (MacEdit-insert-string str)
+ (insert "\"\n")))))
+)
+
+(defun calc-macro-edit-algebraic ()
+ (MacEdit-unread-chars key-last)
+ (let ((str "")
+ (min-bsp 0))
+ (while (progn
+ (MacEdit-lookup-key calc-alg-ent-map)
+ (or (and (memq key-symbol '(self-insert-command
+ calcAlg-previous))
+ (< (length str) 60))
+ (memq key-symbol
+ '(backward-delete-char
+ delete-backward-char
+ backward-delete-char-untabify))
+ (eq key-last 9)))
+ (setq macro-str (substring macro-str (length key-str)))
+ (if (or (eq key-symbol 'self-insert-command)
+ (and (or (not (memq key-symbol '(backward-delete-char
+ delete-backward-char
+ backward-delete-char-untabify)))
+ (<= (length str) min-bsp))
+ (setq min-bsp (+ (length str) (length key-str)))))
+ (setq str (concat str key-str))
+ (setq str (substring str 0 -1))))
+ (if (memq key-last '(10 13))
+ (setq str (concat str key-str)
+ macro-str (substring macro-str (length key-str))))
+ (if (> (length str) 0)
+ (progn
+ (insert "type \"")
+ (MacEdit-insert-string str)
+ (insert "\"\n"))))
+)
+(put 'calc-algebraic-entry 'MacEdit-print 'calc-macro-edit-algebraic)
+(put 'calc-auto-algebraic-entry 'MacEdit-print 'calc-macro-edit-algebraic)
+
+(defun calc-macro-edit-variable (&optional no-cmd)
+ (let ((str "") ch)
+ (or no-cmd (insert (symbol-name key-symbol) "\n"))
+ (if (memq (MacEdit-peek-char) '(?\+ ?\- ?\* ?\/ ?\^ ?\|))
+ (setq str (char-to-string (MacEdit-read-char))))
+ (if (and (setq ch (MacEdit-peek-char))
+ (>= ch ?0) (<= ch ?9))
+ (insert "type \"" str
+ (char-to-string (MacEdit-read-char)) "\"\n")
+ (if (> (length str) 0)
+ (insert "type \"" str "\"\n"))
+ (MacEdit-read-argument)))
+)
+(put 'calc-store 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-into 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-neg 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-plus 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-minus 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-times 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-div 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-power 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-concat 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-inv 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-decr 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-incr 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-store-exchange 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-unstore 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-recall 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-let 'MacEdit-print 'calc-macro-edit-variable)
+(put 'calc-permanent-variable 'MacEdit-print 'calc-macro-edit-variable)
+
+(defun calc-macro-edit-variable-2 ()
+ (calc-macro-edit-variable)
+ (calc-macro-edit-variable t)
+)
+(put 'calc-copy-variable 'MacEdit-print 'calc-macro-edit-variable-2)
+(put 'calc-declare-variable 'MacEdit-print 'calc-macro-edit-variable-2)
+
+(defun calc-macro-edit-quick-digit ()
+ (insert "type \"" key-str "\" # " (symbol-name key-symbol) "\n")
+)
+(put 'calc-store-quick 'MacEdit-print 'calc-macro-edit-quick-digit)
+(put 'calc-store-into-quick 'MacEdit-print 'calc-macro-edit-quick-digit)
+(put 'calc-recall-quick 'MacEdit-print 'calc-macro-edit-quick-digit)
+(put 'calc-select-part 'MacEdit-print 'calc-macro-edit-quick-digit)
+(put 'calc-clean-num 'MacEdit-print 'calc-macro-edit-quick-digit)
+
+
+(defun calc-finish-formula-edit (func)
+ (let ((buf (current-buffer))
+ (str (buffer-substring (point) (point-max)))
+ (start (point))
+ (body (calc-valid-formula-func func)))
+ (set-buffer calc-original-buffer)
+ (let ((val (math-read-expr str)))
+ (if (eq (car-safe val) 'error)
+ (progn
+ (set-buffer buf)
+ (goto-char (+ start (nth 1 val)))
+ (error (nth 2 val))))
+ (setcar (cdr body)
+ (let ((alist (nth 1 (symbol-function func))))
+ (calc-fix-user-formula val)))
+ (put func 'calc-user-defn val)))
+)
+
+(defun calc-valid-formula-func (func)
+ (let ((def (symbol-function func)))
+ (and (consp def)
+ (eq (car def) 'lambda)
+ (progn
+ (setq def (cdr (cdr def)))
+ (while (and def
+ (not (eq (car (car def)) 'math-normalize)))
+ (setq def (cdr def)))
+ (car def))))
+)
+
+
+(defun calc-get-user-defn ()
+ (interactive)
+ (calc-wrapper
+ (message "Get definition of command: z-")
+ (let* ((key (read-char))
+ (def (or (assq key (calc-user-key-map))
+ (assq (upcase key) (calc-user-key-map))
+ (assq (downcase key) (calc-user-key-map))
+ (error "No command defined for that key")))
+ (cmd (cdr def)))
+ (if (symbolp cmd)
+ (setq cmd (symbol-function cmd)))
+ (cond ((stringp cmd)
+ (message "Keyboard macro: %s" cmd))
+ (t (let* ((func (calc-stack-command-p cmd))
+ (defn (and func
+ (symbolp func)
+ (get func 'calc-user-defn))))
+ (if defn
+ (progn
+ (and (calc-valid-formula-func func)
+ (setq defn (append '(calcFunc-lambda)
+ (mapcar 'math-build-var-name
+ (nth 1 (symbol-function
+ func)))
+ (list defn))))
+ (calc-enter-result 0 "gdef" defn))
+ (error "That command is not defined by a formula")))))))
+)
+
+
+(defun calc-user-define-permanent ()
+ (interactive)
+ (calc-wrapper
+ (message "Record in %s the command: z-" calc-settings-file)
+ (let* ((key (read-char))
+ (def (or (assq key (calc-user-key-map))
+ (assq (upcase key) (calc-user-key-map))
+ (assq (downcase key) (calc-user-key-map))
+ (and (eq key ?\')
+ (cons nil
+ (intern (completing-read
+ (format "Record in %s the function: "
+ calc-settings-file)
+ obarray 'fboundp nil "calcFunc-"))))
+ (error "No command defined for that key"))))
+ (set-buffer (find-file-noselect (substitute-in-file-name
+ calc-settings-file)))
+ (goto-char (point-max))
+ (let* ((cmd (cdr def))
+ (fcmd (and cmd (symbolp cmd) (symbol-function cmd)))
+ (func nil)
+ (pt (point))
+ (fill-column 70)
+ (fill-prefix nil)
+ str q-ok)
+ (insert "\n;;; Definition stored by Calc on " (current-time-string)
+ "\n(put 'calc-define '"
+ (if (symbolp cmd) (symbol-name cmd) (format "key%d" key))
+ " '(progn\n")
+ (if (and fcmd
+ (eq (car-safe fcmd) 'lambda)
+ (get cmd 'calc-user-defn))
+ (let ((pt (point)))
+ (and (eq (car-safe (nth 3 fcmd)) 'calc-execute-kbd-macro)
+ (vectorp (nth 1 (nth 3 fcmd)))
+ (progn (and (fboundp 'edit-kbd-macro)
+ (edit-kbd-macro nil))
+ (fboundp 'MacEdit-parse-keys))
+ (setq q-ok t)
+ (aset (nth 1 (nth 3 fcmd)) 1 nil))
+ (insert (setq str (prin1-to-string
+ (cons 'defun (cons cmd (cdr fcmd)))))
+ "\n")
+ (or (and (string-match "\"" str) (not q-ok))
+ (fill-region pt (point)))
+ (indent-rigidly pt (point) 2)
+ (delete-region pt (1+ pt))
+ (insert " (put '" (symbol-name cmd)
+ " 'calc-user-defn '"
+ (prin1-to-string (get cmd 'calc-user-defn))
+ ")\n")
+ (setq func (calc-stack-command-p cmd))
+ (let ((ffunc (and func (symbolp func) (symbol-function func)))
+ (pt (point)))
+ (and ffunc
+ (eq (car-safe ffunc) 'lambda)
+ (get func 'calc-user-defn)
+ (progn
+ (insert (setq str (prin1-to-string
+ (cons 'defun (cons func
+ (cdr ffunc)))))
+ "\n")
+ (or (and (string-match "\"" str) (not q-ok))
+ (fill-region pt (point)))
+ (indent-rigidly pt (point) 2)
+ (delete-region pt (1+ pt))
+ (setq pt (point))
+ (insert "(put '" (symbol-name func)
+ " 'calc-user-defn '"
+ (prin1-to-string (get func 'calc-user-defn))
+ ")\n")
+ (fill-region pt (point))
+ (indent-rigidly pt (point) 2)
+ (delete-region pt (1+ pt))))))
+ (and (stringp fcmd)
+ (insert " (fset '" (prin1-to-string cmd)
+ " " (prin1-to-string fcmd) ")\n")))
+ (or func (setq func (and cmd (symbolp cmd) (fboundp cmd) cmd)))
+ (if (get func 'math-compose-forms)
+ (let ((pt (point)))
+ (insert "(put '" (symbol-name cmd)
+ " 'math-compose-forms '"
+ (prin1-to-string (get func 'math-compose-forms))
+ ")\n")
+ (fill-region pt (point))
+ (indent-rigidly pt (point) 2)
+ (delete-region pt (1+ pt))))
+ (if (car def)
+ (insert " (define-key calc-mode-map "
+ (prin1-to-string (concat "z" (char-to-string key)))
+ " '"
+ (prin1-to-string cmd)
+ ")\n")))
+ (insert "))\n")
+ (save-buffer)))
+)
+
+(defun calc-stack-command-p (cmd)
+ (if (and cmd (symbolp cmd))
+ (and (fboundp cmd)
+ (calc-stack-command-p (symbol-function cmd)))
+ (and (consp cmd)
+ (eq (car cmd) 'lambda)
+ (setq cmd (or (assq 'calc-wrapper cmd)
+ (assq 'calc-slow-wrapper cmd)))
+ (setq cmd (assq 'calc-enter-result cmd))
+ (memq (car (nth 3 cmd)) '(cons list))
+ (eq (car (nth 1 (nth 3 cmd))) 'quote)
+ (nth 1 (nth 1 (nth 3 cmd)))))
+)
+
+
+(defun calc-call-last-kbd-macro (arg)
+ (interactive "P")
+ (and defining-kbd-macro
+ (error "Can't execute anonymous macro while defining one"))
+ (or last-kbd-macro
+ (error "No kbd macro has been defined"))
+ (calc-execute-kbd-macro last-kbd-macro arg)
+)
+
+(defun calc-execute-kbd-macro (mac arg &rest prefix)
+ (if (and (vectorp mac) (> (length mac) 0) (stringp (aref mac 0)))
+ (setq mac (or (aref mac 1)
+ (aset mac 1 (progn (and (fboundp 'edit-kbd-macro)
+ (edit-kbd-macro nil))
+ (MacEdit-parse-keys (aref mac 0)))))))
+ (if (< (prefix-numeric-value arg) 0)
+ (execute-kbd-macro mac (- (prefix-numeric-value arg)))
+ (if calc-executing-macro
+ (execute-kbd-macro mac arg)
+ (calc-slow-wrapper
+ (let ((old-stack-whole (copy-sequence calc-stack))
+ (old-stack-top calc-stack-top)
+ (old-buffer-size (buffer-size))
+ (old-refresh-count calc-refresh-count))
+ (unwind-protect
+ (let ((calc-executing-macro mac))
+ (execute-kbd-macro mac arg))
+ (calc-select-buffer)
+ (let ((new-stack (reverse calc-stack))
+ (old-stack (reverse old-stack-whole)))
+ (while (and new-stack old-stack
+ (equal (car new-stack) (car old-stack)))
+ (setq new-stack (cdr new-stack)
+ old-stack (cdr old-stack)))
+ (or (equal prefix '(nil))
+ (calc-record-list (if (> (length new-stack) 1)
+ (mapcar 'car new-stack)
+ '(""))
+ (or (car prefix) "kmac")))
+ (calc-record-undo (list 'set 'saved-stack-top old-stack-top))
+ (and old-stack
+ (calc-record-undo (list 'pop 1 (mapcar 'car old-stack))))
+ (let ((calc-stack old-stack-whole)
+ (calc-stack-top 0))
+ (calc-cursor-stack-index (length old-stack)))
+ (if (and (= old-buffer-size (buffer-size))
+ (= old-refresh-count calc-refresh-count))
+ (let ((buffer-read-only nil))
+ (delete-region (point) (point-max))
+ (while new-stack
+ (calc-record-undo (list 'push 1))
+ (insert (math-format-stack-value (car new-stack)) "\n")
+ (setq new-stack (cdr new-stack)))
+ (calc-renumber-stack))
+ (while new-stack
+ (calc-record-undo (list 'push 1))
+ (setq new-stack (cdr new-stack)))
+ (calc-refresh))
+ (calc-record-undo (list 'set 'saved-stack-top 0))))))))
+)
+
+(defun calc-push-list-in-macro (vals m sels)
+ (let ((entry (list (car vals) 1 (car sels)))
+ (mm (+ (or m 1) calc-stack-top)))
+ (if (> mm 1)
+ (setcdr (nthcdr (- mm 2) calc-stack)
+ (cons entry (nthcdr (1- mm) calc-stack)))
+ (setq calc-stack (cons entry calc-stack))))
+)
+
+(defun calc-pop-stack-in-macro (n mm)
+ (if (> mm 1)
+ (setcdr (nthcdr (- mm 2) calc-stack)
+ (nthcdr (+ n mm -1) calc-stack))
+ (setq calc-stack (nthcdr n calc-stack)))
+)
+
+
+(defun calc-kbd-if ()
+ (interactive)
+ (calc-wrapper
+ (let ((cond (calc-top-n 1)))
+ (calc-pop-stack 1)
+ (if (math-is-true cond)
+ (if defining-kbd-macro
+ (message "If true..."))
+ (if defining-kbd-macro
+ (message "Condition is false; skipping to Z: or Z] ..."))
+ (calc-kbd-skip-to-else-if t))))
+)
+
+(defun calc-kbd-else-if ()
+ (interactive)
+ (calc-kbd-if)
+)
+
+(defun calc-kbd-skip-to-else-if (else-okay)
+ (let ((count 0)
+ ch)
+ (while (>= count 0)
+ (setq ch (read-char))
+ (if (= ch -1)
+ (error "Unterminated Z[ in keyboard macro"))
+ (if (= ch ?Z)
+ (progn
+ (setq ch (read-char))
+ (cond ((= ch ?\[)
+ (setq count (1+ count)))
+ ((= ch ?\])
+ (setq count (1- count)))
+ ((= ch ?\:)
+ (and (= count 0)
+ else-okay
+ (setq count -1)))
+ ((eq ch 7)
+ (keyboard-quit))))))
+ (and defining-kbd-macro
+ (if (= ch ?\:)
+ (message "Else...")
+ (message "End-if..."))))
+)
+
+(defun calc-kbd-end-if ()
+ (interactive)
+ (if defining-kbd-macro
+ (message "End-if..."))
+)
+
+(defun calc-kbd-else ()
+ (interactive)
+ (if defining-kbd-macro
+ (message "Else; skipping to Z] ..."))
+ (calc-kbd-skip-to-else-if nil)
+)
+
+
+(defun calc-kbd-repeat ()
+ (interactive)
+ (let (count)
+ (calc-wrapper
+ (setq count (math-trunc (calc-top-n 1)))
+ (or (Math-integerp count)
+ (error "Count must be an integer"))
+ (if (Math-integer-negp count)
+ (setq count 0))
+ (or (integerp count)
+ (setq count 1000000))
+ (calc-pop-stack 1))
+ (calc-kbd-loop count))
+)
+
+(defun calc-kbd-for (dir)
+ (interactive "P")
+ (let (init final)
+ (calc-wrapper
+ (setq init (calc-top-n 2)
+ final (calc-top-n 1))
+ (or (and (math-anglep init) (math-anglep final))
+ (error "Initial and final values must be real numbers"))
+ (calc-pop-stack 2))
+ (calc-kbd-loop nil init final (and dir (prefix-numeric-value dir))))
+)
+
+(defun calc-kbd-loop (rpt-count &optional initial final dir)
+ (interactive "P")
+ (setq rpt-count (if rpt-count (prefix-numeric-value rpt-count) 1000000))
+ (let* ((count 0)
+ (parts nil)
+ (body "")
+ (open last-command-char)
+ (counter initial)
+ ch)
+ (or executing-macro
+ (message "Reading loop body..."))
+ (while (>= count 0)
+ (setq ch (read-char))
+ (if (= ch -1)
+ (error "Unterminated Z%c in keyboard macro" open))
+ (if (= ch ?Z)
+ (progn
+ (setq ch (read-char)
+ body (concat body "Z" (char-to-string ch)))
+ (cond ((memq ch '(?\< ?\( ?\{))
+ (setq count (1+ count)))
+ ((memq ch '(?\> ?\) ?\}))
+ (setq count (1- count)))
+ ((and (= ch ?/)
+ (= count 0))
+ (setq parts (nconc parts (list (concat (substring body 0 -2)
+ "Z]")))
+ body ""))
+ ((eq ch 7)
+ (keyboard-quit))))
+ (setq body (concat body (char-to-string ch)))))
+ (if (/= ch (cdr (assq open '( (?\< . ?\>) (?\( . ?\)) (?\{ . ?\}) ))))
+ (error "Mismatched Z%c and Z%c in keyboard macro" open ch))
+ (or executing-macro
+ (message "Looping..."))
+ (setq body (concat (substring body 0 -2) "Z]"))
+ (and (not executing-macro)
+ (= rpt-count 1000000)
+ (null parts)
+ (null counter)
+ (progn
+ (message "Warning: Infinite loop! Not executing.")
+ (setq rpt-count 0)))
+ (or (not initial) dir
+ (setq dir (math-compare final initial)))
+ (calc-wrapper
+ (while (> rpt-count 0)
+ (let ((part parts))
+ (if counter
+ (if (cond ((eq dir 0) (Math-equal final counter))
+ ((eq dir 1) (Math-lessp final counter))
+ ((eq dir -1) (Math-lessp counter final)))
+ (setq rpt-count 0)
+ (calc-push counter)))
+ (while (and part (> rpt-count 0))
+ (execute-kbd-macro (car part))
+ (if (math-is-true (calc-top-n 1))
+ (setq rpt-count 0)
+ (setq part (cdr part)))
+ (calc-pop-stack 1))
+ (if (> rpt-count 0)
+ (progn
+ (execute-kbd-macro body)
+ (if counter
+ (let ((step (calc-top-n 1)))
+ (calc-pop-stack 1)
+ (setq counter (calcFunc-add counter step)))
+ (setq rpt-count (1- rpt-count))))))))
+ (or executing-macro
+ (message "Looping...done")))
+)
+
+(defun calc-kbd-end-repeat ()
+ (interactive)
+ (error "Unbalanced Z> in keyboard macro")
+)
+
+(defun calc-kbd-end-for ()
+ (interactive)
+ (error "Unbalanced Z) in keyboard macro")
+)
+
+(defun calc-kbd-end-loop ()
+ (interactive)
+ (error "Unbalanced Z} in keyboard macro")
+)
+
+(defun calc-kbd-break ()
+ (interactive)
+ (calc-wrapper
+ (let ((cond (calc-top-n 1)))
+ (calc-pop-stack 1)
+ (if (math-is-true cond)
+ (error "Keyboard macro aborted."))))
+)
+
+
+(defun calc-kbd-push (arg)
+ (interactive "P")
+ (calc-wrapper
+ (let* ((defs (and arg (> (prefix-numeric-value arg) 0)))
+ (var-q0 (and (boundp 'var-q0) var-q0))
+ (var-q1 (and (boundp 'var-q1) var-q1))
+ (var-q2 (and (boundp 'var-q2) var-q2))
+ (var-q3 (and (boundp 'var-q3) var-q3))
+ (var-q4 (and (boundp 'var-q4) var-q4))
+ (var-q5 (and (boundp 'var-q5) var-q5))
+ (var-q6 (and (boundp 'var-q6) var-q6))
+ (var-q7 (and (boundp 'var-q7) var-q7))
+ (var-q8 (and (boundp 'var-q8) var-q8))
+ (var-q9 (and (boundp 'var-q9) var-q9))
+ (calc-internal-prec (if defs 12 calc-internal-prec))
+ (calc-word-size (if defs 32 calc-word-size))
+ (calc-angle-mode (if defs 'deg calc-angle-mode))
+ (calc-simplify-mode (if defs nil calc-simplify-mode))
+ (calc-algebraic-mode (if arg nil calc-algebraic-mode))
+ (calc-incomplete-algebraic-mode (if arg nil
+ calc-incomplete-algebraic-mode))
+ (calc-symbolic-mode (if defs nil calc-symbolic-mode))
+ (calc-matrix-mode (if defs nil calc-matrix-mode))
+ (calc-prefer-frac (if defs nil calc-prefer-frac))
+ (calc-complex-mode (if defs nil calc-complex-mode))
+ (calc-infinite-mode (if defs nil calc-infinite-mode))
+ (count 0)
+ (body "")
+ ch)
+ (if (or executing-macro defining-kbd-macro)
+ (progn
+ (if defining-kbd-macro
+ (message "Reading body..."))
+ (while (>= count 0)
+ (setq ch (read-char))
+ (if (= ch -1)
+ (error "Unterminated Z` in keyboard macro"))
+ (if (= ch ?Z)
+ (progn
+ (setq ch (read-char)
+ body (concat body "Z" (char-to-string ch)))
+ (cond ((eq ch ?\`)
+ (setq count (1+ count)))
+ ((eq ch ?\')
+ (setq count (1- count)))
+ ((eq ch 7)
+ (keyboard-quit))))
+ (setq body (concat body (char-to-string ch)))))
+ (if defining-kbd-macro
+ (message "Reading body...done"))
+ (let ((calc-kbd-push-level 0))
+ (execute-kbd-macro (substring body 0 -2))))
+ (let ((calc-kbd-push-level (1+ calc-kbd-push-level)))
+ (message "Saving modes; type Z' to restore")
+ (recursive-edit)))))
+)
+(setq calc-kbd-push-level 0)
+
+(defun calc-kbd-pop ()
+ (interactive)
+ (if (> calc-kbd-push-level 0)
+ (progn
+ (message "Mode settings restored")
+ (exit-recursive-edit))
+ (error "Unbalanced Z' in keyboard macro"))
+)
+
+
+(defun calc-kbd-report (msg)
+ (interactive "sMessage: ")
+ (calc-wrapper
+ (let ((executing-macro nil)
+ (defining-kbd-macro nil))
+ (math-working msg (calc-top-n 1))))
+)
+
+(defun calc-kbd-query (msg)
+ (interactive "sPrompt: ")
+ (calc-wrapper
+ (let ((executing-macro nil)
+ (defining-kbd-macro nil))
+ (calc-alg-entry nil (and (not (equal msg "")) msg))))
+)
+
+
+
+
+
+
+
+;;;; Logical operations.
+
+(defun calcFunc-eq (a b &rest more)
+ (if more
+ (let* ((args (cons a (cons b (copy-sequence more))))
+ (res 1)
+ (p args)
+ p2)
+ (while (and (cdr p) (not (eq res 0)))
+ (setq p2 p)
+ (while (and (setq p2 (cdr p2)) (not (eq res 0)))
+ (setq res (math-two-eq (car p) (car p2)))
+ (if (eq res 1)
+ (setcdr p (delq (car p2) (cdr p)))))
+ (setq p (cdr p)))
+ (if (eq res 0)
+ 0
+ (if (cdr args)
+ (cons 'calcFunc-eq args)
+ 1)))
+ (or (math-two-eq a b)
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-eq (math-neg a) (math-neg b))
+ (list 'calcFunc-eq a b))))
+)
+
+(defun calcFunc-neq (a b &rest more)
+ (if more
+ (let* ((args (cons a (cons b more)))
+ (res 0)
+ (all t)
+ (p args)
+ p2)
+ (while (and (cdr p) (not (eq res 1)))
+ (setq p2 p)
+ (while (and (setq p2 (cdr p2)) (not (eq res 1)))
+ (setq res (math-two-eq (car p) (car p2)))
+ (or res (setq all nil)))
+ (setq p (cdr p)))
+ (if (eq res 1)
+ 0
+ (if all
+ 1
+ (cons 'calcFunc-neq args))))
+ (or (cdr (assq (math-two-eq a b) '((0 . 1) (1 . 0))))
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-neq (math-neg a) (math-neg b))
+ (list 'calcFunc-neq a b))))
+)
+
+(defun math-two-eq (a b)
+ (if (eq (car-safe a) 'vec)
+ (if (eq (car-safe b) 'vec)
+ (if (= (length a) (length b))
+ (let ((res 1))
+ (while (and (setq a (cdr a) b (cdr b)) (not (eq res 0)))
+ (if res
+ (setq res (math-two-eq (car a) (car b)))
+ (if (eq (math-two-eq (car a) (car b)) 0)
+ (setq res 0))))
+ res)
+ 0)
+ (if (Math-objectp b)
+ 0
+ nil))
+ (if (eq (car-safe b) 'vec)
+ (if (Math-objectp a)
+ 0
+ nil)
+ (let ((res (math-compare a b)))
+ (if (= res 0)
+ 1
+ (if (and (= res 2) (not (and (Math-scalarp a) (Math-scalarp b))))
+ nil
+ 0)))))
+)
+
+(defun calcFunc-lt (a b)
+ (let ((res (math-compare a b)))
+ (if (= res -1)
+ 1
+ (if (= res 2)
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-gt (math-neg a) (math-neg b))
+ (list 'calcFunc-lt a b))
+ 0)))
+)
+
+(defun calcFunc-gt (a b)
+ (let ((res (math-compare a b)))
+ (if (= res 1)
+ 1
+ (if (= res 2)
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-lt (math-neg a) (math-neg b))
+ (list 'calcFunc-gt a b))
+ 0)))
+)
+
+(defun calcFunc-leq (a b)
+ (let ((res (math-compare a b)))
+ (if (= res 1)
+ 0
+ (if (= res 2)
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-geq (math-neg a) (math-neg b))
+ (list 'calcFunc-leq a b))
+ 1)))
+)
+
+(defun calcFunc-geq (a b)
+ (let ((res (math-compare a b)))
+ (if (= res -1)
+ 0
+ (if (= res 2)
+ (if (and (or (math-looks-negp a) (math-zerop a))
+ (or (math-looks-negp b) (math-zerop b)))
+ (list 'calcFunc-leq (math-neg a) (math-neg b))
+ (list 'calcFunc-geq a b))
+ 1)))
+)
+
+(defun calcFunc-rmeq (a)
+ (if (math-vectorp a)
+ (math-map-vec 'calcFunc-rmeq a)
+ (if (assq (car-safe a) calc-tweak-eqn-table)
+ (if (and (eq (car-safe (nth 2 a)) 'var)
+ (math-objectp (nth 1 a)))
+ (nth 1 a)
+ (nth 2 a))
+ (if (eq (car-safe a) 'calcFunc-assign)
+ (nth 2 a)
+ (if (eq (car-safe a) 'calcFunc-evalto)
+ (nth 1 a)
+ (list 'calcFunc-rmeq a)))))
+)
+
+(defun calcFunc-land (a b)
+ (cond ((Math-zerop a)
+ a)
+ ((Math-zerop b)
+ b)
+ ((math-is-true a)
+ b)
+ ((math-is-true b)
+ a)
+ (t (list 'calcFunc-land a b)))
+)
+
+(defun calcFunc-lor (a b)
+ (cond ((Math-zerop a)
+ b)
+ ((Math-zerop b)
+ a)
+ ((math-is-true a)
+ a)
+ ((math-is-true b)
+ b)
+ (t (list 'calcFunc-lor a b)))
+)
+
+(defun calcFunc-lnot (a)
+ (if (Math-zerop a)
+ 1
+ (if (math-is-true a)
+ 0
+ (let ((op (and (= (length a) 3)
+ (assq (car a) calc-tweak-eqn-table))))
+ (if op
+ (cons (nth 2 op) (cdr a))
+ (list 'calcFunc-lnot a)))))
+)
+
+(defun calcFunc-if (c e1 e2)
+ (if (Math-zerop c)
+ e2
+ (if (and (math-is-true c) (not (Math-vectorp c)))
+ e1
+ (or (and (Math-vectorp c)
+ (math-constp c)
+ (let ((ee1 (if (Math-vectorp e1)
+ (if (= (length c) (length e1))
+ (cdr e1)
+ (calc-record-why "*Dimension error" e1))
+ (list e1)))
+ (ee2 (if (Math-vectorp e2)
+ (if (= (length c) (length e2))
+ (cdr e2)
+ (calc-record-why "*Dimension error" e2))
+ (list e2))))
+ (and ee1 ee2
+ (cons 'vec (math-if-vector (cdr c) ee1 ee2)))))
+ (list 'calcFunc-if c e1 e2))))
+)
+
+(defun math-if-vector (c e1 e2)
+ (and c
+ (cons (if (Math-zerop (car c)) (car e2) (car e1))
+ (math-if-vector (cdr c)
+ (or (cdr e1) e1)
+ (or (cdr e2) e2))))
+)
+
+(defun math-normalize-logical-op (a)
+ (or (and (eq (car a) 'calcFunc-if)
+ (= (length a) 4)
+ (let ((a1 (math-normalize (nth 1 a))))
+ (if (Math-zerop a1)
+ (math-normalize (nth 3 a))
+ (if (Math-numberp a1)
+ (math-normalize (nth 2 a))
+ (if (and (Math-vectorp (nth 1 a))
+ (math-constp (nth 1 a)))
+ (calcFunc-if (nth 1 a)
+ (math-normalize (nth 2 a))
+ (math-normalize (nth 3 a)))
+ (let ((calc-simplify-mode 'none))
+ (list 'calcFunc-if a1
+ (math-normalize (nth 2 a))
+ (math-normalize (nth 3 a)))))))))
+ a)
+)
+
+(defun calcFunc-in (a b)
+ (or (and (eq (car-safe b) 'vec)
+ (let ((bb b))
+ (while (and (setq bb (cdr bb))
+ (not (if (memq (car-safe (car bb)) '(vec intv))
+ (eq (calcFunc-in a (car bb)) 1)
+ (Math-equal a (car bb))))))
+ (if bb 1 (and (math-constp a) (math-constp bb) 0))))
+ (and (eq (car-safe b) 'intv)
+ (let ((res (math-compare a (nth 2 b))) res2)
+ (cond ((= res -1)
+ 0)
+ ((and (= res 0)
+ (or (/= (nth 1 b) 2)
+ (Math-lessp (nth 2 b) (nth 3 b))))
+ (if (memq (nth 1 b) '(2 3)) 1 0))
+ ((= (setq res2 (math-compare a (nth 3 b))) 1)
+ 0)
+ ((and (= res2 0)
+ (or (/= (nth 1 b) 1)
+ (Math-lessp (nth 2 b) (nth 3 b))))
+ (if (memq (nth 1 b) '(1 3)) 1 0))
+ ((/= res 1)
+ nil)
+ ((/= res2 -1)
+ nil)
+ (t 1))))
+ (and (Math-equal a b)
+ 1)
+ (and (math-constp a) (math-constp b)
+ 0)
+ (list 'calcFunc-in a b))
+)
+
+(defun calcFunc-typeof (a)
+ (cond ((Math-integerp a) 1)
+ ((eq (car a) 'frac) 2)
+ ((eq (car a) 'float) 3)
+ ((eq (car a) 'hms) 4)
+ ((eq (car a) 'cplx) 5)
+ ((eq (car a) 'polar) 6)
+ ((eq (car a) 'sdev) 7)
+ ((eq (car a) 'intv) 8)
+ ((eq (car a) 'mod) 9)
+ ((eq (car a) 'date) (if (Math-integerp (nth 1 a)) 10 11))
+ ((eq (car a) 'var)
+ (if (memq (nth 2 a) '(var-inf var-uinf var-nan)) 12 100))
+ ((eq (car a) 'vec) (if (math-matrixp a) 102 101))
+ (t (math-calcFunc-to-var func)))
+)
+
+(defun calcFunc-integer (a)
+ (if (Math-integerp a)
+ 1
+ (if (Math-objvecp a)
+ 0
+ (list 'calcFunc-integer a)))
+)
+
+(defun calcFunc-real (a)
+ (if (Math-realp a)
+ 1
+ (if (Math-objvecp a)
+ 0
+ (list 'calcFunc-real a)))
+)
+
+(defun calcFunc-constant (a)
+ (if (math-constp a)
+ 1
+ (if (Math-objvecp a)
+ 0
+ (list 'calcFunc-constant a)))
+)
+
+(defun calcFunc-refers (a b)
+ (if (math-expr-contains a b)
+ 1
+ (if (eq (car-safe a) 'var)
+ (list 'calcFunc-refers a b)
+ 0))
+)
+
+(defun calcFunc-negative (a)
+ (if (math-looks-negp a)
+ 1
+ (if (or (math-zerop a)
+ (math-posp a))
+ 0
+ (list 'calcFunc-negative a)))
+)
+
+(defun calcFunc-variable (a)
+ (if (eq (car-safe a) 'var)
+ 1
+ (if (Math-objvecp a)
+ 0
+ (list 'calcFunc-variable a)))
+)
+
+(defun calcFunc-nonvar (a)
+ (if (eq (car-safe a) 'var)
+ (list 'calcFunc-nonvar a)
+ 1)
+)
+
+(defun calcFunc-istrue (a)
+ (if (math-is-true a)
+ 1
+ 0)
+)
+
+
+
+
+;;;; User-programmability.
+
+;;; Compiling Lisp-like forms to use the math library.
+
+(defun math-do-defmath (func args body)
+ (calc-need-macros)
+ (let* ((fname (intern (concat "calcFunc-" (symbol-name func))))
+ (doc (if (stringp (car body)) (list (car body))))
+ (clargs (mapcar 'math-clean-arg args))
+ (body (math-define-function-body
+ (if (stringp (car body)) (cdr body) body)
+ clargs)))
+ (list 'progn
+ (if (and (consp (car body))
+ (eq (car (car body)) 'interactive))
+ (let ((inter (car body)))
+ (setq body (cdr body))
+ (if (or (> (length inter) 2)
+ (integerp (nth 1 inter)))
+ (let ((hasprefix nil) (hasmulti nil))
+ (if (stringp (nth 1 inter))
+ (progn
+ (cond ((equal (nth 1 inter) "p")
+ (setq hasprefix t))
+ ((equal (nth 1 inter) "m")
+ (setq hasmulti t))
+ (t (error
+ "Can't handle interactive code string \"%s\""
+ (nth 1 inter))))
+ (setq inter (cdr inter))))
+ (if (not (integerp (nth 1 inter)))
+ (error
+ "Expected an integer in interactive specification"))
+ (append (list 'defun
+ (intern (concat "calc-"
+ (symbol-name func)))
+ (if (or hasprefix hasmulti)
+ '(&optional n)
+ ()))
+ doc
+ (if (or hasprefix hasmulti)
+ '((interactive "P"))
+ '((interactive)))
+ (list
+ (append
+ '(calc-slow-wrapper)
+ (and hasmulti
+ (list
+ (list 'setq
+ 'n
+ (list 'if
+ 'n
+ (list 'prefix-numeric-value
+ 'n)
+ (nth 1 inter)))))
+ (list
+ (list 'calc-enter-result
+ (if hasmulti 'n (nth 1 inter))
+ (nth 2 inter)
+ (if hasprefix
+ (list 'append
+ (list 'quote (list fname))
+ (list 'calc-top-list-n
+ (nth 1 inter))
+ (list 'and
+ 'n
+ (list
+ 'list
+ (list
+ 'math-normalize
+ (list
+ 'prefix-numeric-value
+ 'n)))))
+ (list 'cons
+ (list 'quote fname)
+ (list 'calc-top-list-n
+ (if hasmulti
+ 'n
+ (nth 1 inter)))))))))))
+ (append (list 'defun
+ (intern (concat "calc-" (symbol-name func)))
+ args)
+ doc
+ (list
+ inter
+ (cons 'calc-wrapper body))))))
+ (append (list 'defun fname clargs)
+ doc
+ (math-do-arg-list-check args nil nil)
+ body)))
+)
+
+(defun math-clean-arg (arg)
+ (if (consp arg)
+ (math-clean-arg (nth 1 arg))
+ arg)
+)
+
+(defun math-do-arg-check (arg var is-opt is-rest)
+ (if is-opt
+ (let ((chk (math-do-arg-check arg var nil nil)))
+ (list (cons 'and
+ (cons var
+ (if (cdr chk)
+ (setq chk (list (cons 'progn chk)))
+ chk)))))
+ (and (consp arg)
+ (let* ((rest (math-do-arg-check (nth 1 arg) var is-opt is-rest))
+ (qual (car arg))
+ (qqual (list 'quote qual))
+ (qual-name (symbol-name qual))
+ (chk (intern (concat "math-check-" qual-name))))
+ (if (fboundp chk)
+ (append rest
+ (list
+ (if is-rest
+ (list 'setq var
+ (list 'mapcar (list 'quote chk) var))
+ (list 'setq var (list chk var)))))
+ (if (fboundp (setq chk (intern (concat "math-" qual-name))))
+ (append rest
+ (list
+ (if is-rest
+ (list 'mapcar
+ (list 'function
+ (list 'lambda '(x)
+ (list 'or
+ (list chk 'x)
+ (list 'math-reject-arg
+ 'x qqual))))
+ var)
+ (list 'or
+ (list chk var)
+ (list 'math-reject-arg var qqual)))))
+ (if (and (string-match "\\`not-\\(.*\\)\\'" qual-name)
+ (fboundp (setq chk (intern
+ (concat "math-"
+ (math-match-substring
+ qual-name 1))))))
+ (append rest
+ (list
+ (if is-rest
+ (list 'mapcar
+ (list 'function
+ (list 'lambda '(x)
+ (list 'and
+ (list chk 'x)
+ (list 'math-reject-arg
+ 'x qqual))))
+ var)
+ (list 'and
+ (list chk var)
+ (list 'math-reject-arg var qqual)))))
+ (error "Unknown qualifier `%s'" qual-name)))))))
+)
+
+(defun math-do-arg-list-check (args is-opt is-rest)
+ (cond ((null args) nil)
+ ((consp (car args))
+ (append (math-do-arg-check (car args)
+ (math-clean-arg (car args))
+ is-opt is-rest)
+ (math-do-arg-list-check (cdr args) is-opt is-rest)))
+ ((eq (car args) '&optional)
+ (math-do-arg-list-check (cdr args) t nil))
+ ((eq (car args) '&rest)
+ (math-do-arg-list-check (cdr args) nil t))
+ (t (math-do-arg-list-check (cdr args) is-opt is-rest)))
+)
+
+(defconst math-prim-funcs
+ '( (~= . math-nearly-equal)
+ (% . math-mod)
+ (lsh . calcFunc-lsh)
+ (ash . calcFunc-ash)
+ (logand . calcFunc-and)
+ (logandc2 . calcFunc-diff)
+ (logior . calcFunc-or)
+ (logxor . calcFunc-xor)
+ (lognot . calcFunc-not)
+ (equal . equal) ; need to leave these ones alone!
+ (eq . eq)
+ (and . and)
+ (or . or)
+ (if . if)
+ (^ . math-pow)
+ (expt . math-pow)
+ )
+)
+
+(defconst math-prim-vars
+ '( (nil . nil)
+ (t . t)
+ (&optional . &optional)
+ (&rest . &rest)
+ )
+)
+
+(defun math-define-function-body (body env)
+ (let ((body (math-define-body body env)))
+ (if (math-body-refers-to body 'math-return)
+ (list (cons 'catch (cons '(quote math-return) body)))
+ body))
+)
+
+(defun math-define-body (body exp-env)
+ (math-define-list body)
+)
+
+(defun math-define-list (body &optional quote)
+ (cond ((null body)
+ nil)
+ ((and (eq (car body) ':)
+ (stringp (nth 1 body)))
+ (cons (let* ((math-read-expr-quotes t)
+ (exp (math-read-plain-expr (nth 1 body) t)))
+ (math-define-exp exp))
+ (math-define-list (cdr (cdr body)))))
+ (quote
+ (cons (cond ((consp (car body))
+ (math-define-list (cdr body) t))
+ (t
+ (car body)))
+ (math-define-list (cdr body))))
+ (t
+ (cons (math-define-exp (car body))
+ (math-define-list (cdr body)))))
+)
+
+(defun math-define-exp (exp)
+ (cond ((consp exp)
+ (let ((func (car exp)))
+ (cond ((memq func '(quote function))
+ (if (and (consp (nth 1 exp))
+ (eq (car (nth 1 exp)) 'lambda))
+ (cons 'quote
+ (math-define-lambda (nth 1 exp) exp-env))
+ exp))
+ ((memq func '(let let* for foreach))
+ (let ((head (nth 1 exp))
+ (body (cdr (cdr exp))))
+ (if (memq func '(let let*))
+ ()
+ (setq func (cdr (assq func '((for . math-for)
+ (foreach . math-foreach)))))
+ (if (not (listp (car head)))
+ (setq head (list head))))
+ (macroexpand
+ (cons func
+ (cons (math-define-let head)
+ (math-define-body body
+ (nconc
+ (math-define-let-env head)
+ exp-env)))))))
+ ((and (memq func '(setq setf))
+ (math-complicated-lhs (cdr exp)))
+ (if (> (length exp) 3)
+ (cons 'progn (math-define-setf-list (cdr exp)))
+ (math-define-setf (nth 1 exp) (nth 2 exp))))
+ ((eq func 'condition-case)
+ (cons func
+ (cons (nth 1 exp)
+ (math-define-body (cdr (cdr exp))
+ (cons (nth 1 exp)
+ exp-env)))))
+ ((eq func 'cond)
+ (cons func
+ (math-define-cond (cdr exp))))
+ ((and (consp func) ; ('spam a b) == force use of plain spam
+ (eq (car func) 'quote))
+ (cons func (math-define-list (cdr exp))))
+ ((symbolp func)
+ (let ((args (math-define-list (cdr exp)))
+ (prim (assq func math-prim-funcs)))
+ (cond (prim
+ (cons (cdr prim) args))
+ ((eq func 'floatp)
+ (list 'eq (car args) '(quote float)))
+ ((eq func '+)
+ (math-define-binop 'math-add 0
+ (car args) (cdr args)))
+ ((eq func '-)
+ (if (= (length args) 1)
+ (cons 'math-neg args)
+ (math-define-binop 'math-sub 0
+ (car args) (cdr args))))
+ ((eq func '*)
+ (math-define-binop 'math-mul 1
+ (car args) (cdr args)))
+ ((eq func '/)
+ (math-define-binop 'math-div 1
+ (car args) (cdr args)))
+ ((eq func 'min)
+ (math-define-binop 'math-min 0
+ (car args) (cdr args)))
+ ((eq func 'max)
+ (math-define-binop 'math-max 0
+ (car args) (cdr args)))
+ ((eq func '<)
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-negp (car args))
+ (cons 'math-lessp args)))
+ ((eq func '>)
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-posp (car args))
+ (list 'math-lessp (nth 1 args) (nth 0 args))))
+ ((eq func '<=)
+ (list 'not
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-posp (car args))
+ (list 'math-lessp
+ (nth 1 args) (nth 0 args)))))
+ ((eq func '>=)
+ (list 'not
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-negp (car args))
+ (cons 'math-lessp args))))
+ ((eq func '=)
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-zerop (nth 0 args))
+ (if (and (integerp (nth 1 args))
+ (/= (% (nth 1 args) 10) 0))
+ (cons 'math-equal-int args)
+ (cons 'math-equal args))))
+ ((eq func '/=)
+ (list 'not
+ (if (and (math-numberp (nth 1 args))
+ (math-zerop (nth 1 args)))
+ (list 'math-zerop (nth 0 args))
+ (if (and (integerp (nth 1 args))
+ (/= (% (nth 1 args) 10) 0))
+ (cons 'math-equal-int args)
+ (cons 'math-equal args)))))
+ ((eq func '1+)
+ (list 'math-add (car args) 1))
+ ((eq func '1-)
+ (list 'math-add (car args) -1))
+ ((eq func 'not) ; optimize (not (not x)) => x
+ (if (eq (car-safe args) func)
+ (car (nth 1 args))
+ (cons func args)))
+ ((and (eq func 'elt) (cdr (cdr args)))
+ (math-define-elt (car args) (cdr args)))
+ (t
+ (macroexpand
+ (let* ((name (symbol-name func))
+ (cfunc (intern (concat "calcFunc-" name)))
+ (mfunc (intern (concat "math-" name))))
+ (cond ((fboundp cfunc)
+ (cons cfunc args))
+ ((fboundp mfunc)
+ (cons mfunc args))
+ ((or (fboundp func)
+ (string-match "\\`calcFunc-.*" name))
+ (cons func args))
+ (t
+ (cons cfunc args)))))))))
+ (t (cons func args)))))
+ ((symbolp exp)
+ (let ((prim (assq exp math-prim-vars))
+ (name (symbol-name exp)))
+ (cond (prim
+ (cdr prim))
+ ((memq exp exp-env)
+ exp)
+ ((string-match "-" name)
+ exp)
+ (t
+ (intern (concat "var-" name))))))
+ ((integerp exp)
+ (if (or (<= exp -1000000) (>= exp 1000000))
+ (list 'quote (math-normalize exp))
+ exp))
+ (t exp))
+)
+
+(defun math-define-cond (forms)
+ (and forms
+ (cons (math-define-list (car forms))
+ (math-define-cond (cdr forms))))
+)
+
+(defun math-complicated-lhs (body)
+ (and body
+ (or (not (symbolp (car body)))
+ (math-complicated-lhs (cdr (cdr body)))))
+)
+
+(defun math-define-setf-list (body)
+ (and body
+ (cons (math-define-setf (nth 0 body) (nth 1 body))
+ (math-define-setf-list (cdr (cdr body)))))
+)
+
+(defun math-define-setf (place value)
+ (setq place (math-define-exp place)
+ value (math-define-exp value))
+ (cond ((symbolp place)
+ (list 'setq place value))
+ ((eq (car-safe place) 'nth)
+ (list 'setcar (list 'nthcdr (nth 1 place) (nth 2 place)) value))
+ ((eq (car-safe place) 'elt)
+ (list 'setcar (list 'nthcdr (nth 2 place) (nth 1 place)) value))
+ ((eq (car-safe place) 'car)
+ (list 'setcar (nth 1 place) value))
+ ((eq (car-safe place) 'cdr)
+ (list 'setcdr (nth 1 place) value))
+ (t
+ (error "Bad place form for setf: %s" place)))
+)
+
+(defun math-define-binop (op ident arg1 rest)
+ (if rest
+ (math-define-binop op ident
+ (list op arg1 (car rest))
+ (cdr rest))
+ (or arg1 ident))
+)
+
+(defun math-define-let (vlist)
+ (and vlist
+ (cons (if (consp (car vlist))
+ (cons (car (car vlist))
+ (math-define-list (cdr (car vlist))))
+ (car vlist))
+ (math-define-let (cdr vlist))))
+)
+
+(defun math-define-let-env (vlist)
+ (and vlist
+ (cons (if (consp (car vlist))
+ (car (car vlist))
+ (car vlist))
+ (math-define-let-env (cdr vlist))))
+)
+
+(defun math-define-lambda (exp exp-env)
+ (nconc (list (nth 0 exp) ; 'lambda
+ (nth 1 exp)) ; arg list
+ (math-define-function-body (cdr (cdr exp))
+ (append (nth 1 exp) exp-env)))
+)
+
+(defun math-define-elt (seq idx)
+ (if idx
+ (math-define-elt (list 'elt seq (car idx)) (cdr idx))
+ seq)
+)
+
+
+
+;;; Useful programming macros.
+
+(defmacro math-while (head &rest body)
+ (let ((body (cons 'while (cons head body))))
+ (if (math-body-refers-to body 'math-break)
+ (cons 'catch (cons '(quote math-break) (list body)))
+ body))
+)
+
+
+(defmacro math-for (head &rest body)
+ (let ((body (if head
+ (math-handle-for head body)
+ (cons 'while (cons t body)))))
+ (if (math-body-refers-to body 'math-break)
+ (cons 'catch (cons '(quote math-break) (list body)))
+ body))
+)
+
+(defun math-handle-for (head body)
+ (let* ((var (nth 0 (car head)))
+ (init (nth 1 (car head)))
+ (limit (nth 2 (car head)))
+ (step (or (nth 3 (car head)) 1))
+ (body (if (cdr head)
+ (list (math-handle-for (cdr head) body))
+ body))
+ (all-ints (and (integerp init) (integerp limit) (integerp step)))
+ (const-limit (or (integerp limit)
+ (and (eq (car-safe limit) 'quote)
+ (math-realp (nth 1 limit)))))
+ (const-step (or (integerp step)
+ (and (eq (car-safe step) 'quote)
+ (math-realp (nth 1 step)))))
+ (save-limit (if const-limit limit (make-symbol "<limit>")))
+ (save-step (if const-step step (make-symbol "<step>"))))
+ (cons 'let
+ (cons (append (if const-limit nil (list (list save-limit limit)))
+ (if const-step nil (list (list save-step step)))
+ (list (list var init)))
+ (list
+ (cons 'while
+ (cons (if all-ints
+ (if (> step 0)
+ (list '<= var save-limit)
+ (list '>= var save-limit))
+ (list 'not
+ (if const-step
+ (if (or (math-posp step)
+ (math-posp
+ (cdr-safe step)))
+ (list 'math-lessp
+ save-limit
+ var)
+ (list 'math-lessp
+ var
+ save-limit))
+ (list 'if
+ (list 'math-posp
+ save-step)
+ (list 'math-lessp
+ save-limit
+ var)
+ (list 'math-lessp
+ var
+ save-limit)))))
+ (append body
+ (list (list 'setq
+ var
+ (list (if all-ints
+ '+
+ 'math-add)
+ var
+ save-step))))))))))
+)
+
+
+(defmacro math-foreach (head &rest body)
+ (let ((body (math-handle-foreach head body)))
+ (if (math-body-refers-to body 'math-break)
+ (cons 'catch (cons '(quote math-break) (list body)))
+ body))
+)
+
+
+(defun math-handle-foreach (head body)
+ (let ((var (nth 0 (car head)))
+ (data (nth 1 (car head)))
+ (body (if (cdr head)
+ (list (math-handle-foreach (cdr head) body))
+ body)))
+ (cons 'let
+ (cons (list (list var data))
+ (list
+ (cons 'while
+ (cons var
+ (append body
+ (list (list 'setq
+ var
+ (list 'cdr var))))))))))
+)
+
+
+(defun math-body-refers-to (body thing)
+ (or (equal body thing)
+ (and (consp body)
+ (or (math-body-refers-to (car body) thing)
+ (math-body-refers-to (cdr body) thing))))
+)
+
+(defun math-break (&optional value)
+ (throw 'math-break value)
+)
+
+(defun math-return (&optional value)
+ (throw 'math-return value)
+)
+
+
+
+
+
+(defun math-composite-inequalities (x op)
+ (if (memq (nth 1 op) '(calcFunc-eq calcFunc-neq))
+ (if (eq (car x) (nth 1 op))
+ (append x (list (math-read-expr-level (nth 3 op))))
+ (throw 'syntax "Syntax error"))
+ (list 'calcFunc-in
+ (nth 2 x)
+ (if (memq (nth 1 op) '(calcFunc-lt calcFunc-leq))
+ (if (memq (car x) '(calcFunc-lt calcFunc-leq))
+ (math-make-intv
+ (+ (if (eq (car x) 'calcFunc-leq) 2 0)
+ (if (eq (nth 1 op) 'calcFunc-leq) 1 0))
+ (nth 1 x) (math-read-expr-level (nth 3 op)))
+ (throw 'syntax "Syntax error"))
+ (if (memq (car x) '(calcFunc-gt calcFunc-geq))
+ (math-make-intv
+ (+ (if (eq (nth 1 op) 'calcFunc-geq) 2 0)
+ (if (eq (car x) 'calcFunc-geq) 1 0))
+ (math-read-expr-level (nth 3 op)) (nth 1 x))
+ (throw 'syntax "Syntax error")))))
+)
+