calc-graph.el   [plain text]

;;; calc-graph.el --- graph output functions for Calc

;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
;;   2005, 2006, 2007 Free Software Foundation, Inc.

;; Author: David Gillespie <daveg@synaptics.com>
;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>

;; This file is part of GNU Emacs.

;; GNU Emacs is free software; you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation; either version 2, or (at your option)
;; any later version.

;; GNU Emacs is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
;; GNU General Public License for more details.

;; You should have received a copy of the GNU General Public License
;; along with GNU Emacs; see the file COPYING.  If not, write to the
;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
;; Boston, MA 02110-1301, USA.

;;; Commentary:

;;; Code:

;; This file is autoloaded from calc-ext.el.

(require 'calc-ext)
(require 'calc-macs)

;;; Graphics

;; The following three variables are customizable and defined in calc.el.
(defvar calc-gnuplot-name)
(defvar calc-gnuplot-plot-command)
(defvar calc-gnuplot-print-command)

(defvar calc-gnuplot-tempfile "calc")

(defvar calc-gnuplot-default-device)
(defvar calc-gnuplot-default-output)
(defvar calc-gnuplot-print-device)
(defvar calc-gnuplot-print-output)
(defvar calc-gnuplot-keep-outfile nil)
(defvar calc-gnuplot-version nil)

(defvar calc-gnuplot-display (getenv "DISPLAY"))
(defvar calc-gnuplot-geometry)

(defvar calc-graph-default-resolution)
(defvar calc-graph-default-resolution-3d)
(defvar calc-graph-default-precision 5)

(defvar calc-gnuplot-buffer nil)
(defvar calc-gnuplot-input nil)

(defvar calc-gnuplot-last-error-pos 1)
(defvar calc-graph-last-device nil)
(defvar calc-graph-last-output nil)
(defvar calc-graph-file-cache nil)
(defvar calc-graph-var-cache nil)
(defvar calc-graph-data-cache nil)
(defvar calc-graph-data-cache-limit 10)
(defvar calc-graph-no-auto-view nil)
(defvar calc-graph-no-wait nil)
(defvar calc-gnuplot-trail-mark)

(defun calc-graph-fast (many)
  (interactive "P")
  (let ((calc-graph-no-auto-view t))
    (calc-graph-delete t)
    (calc-graph-add many)
    (calc-graph-plot nil)))

(defun calc-graph-fast-3d (many)
  (interactive "P")
  (let ((calc-graph-no-auto-view t))
    (calc-graph-delete t)
    (calc-graph-add-3d many)
    (calc-graph-plot nil)))

(defun calc-graph-delete (all)
  (interactive "P")
  (calc-wrapper
   (calc-graph-init)
   (save-excursion
     (set-buffer calc-gnuplot-input)
     (and (calc-graph-find-plot t all)
	  (progn
	    (if (looking-at "s?plot")
		(progn
		  (setq calc-graph-var-cache nil)
		  (delete-region (point) (point-max)))
	      (delete-region (point) (1- (point-max)))))))
   (calc-graph-view-commands)))

(defun calc-graph-find-plot (&optional before all)
  (goto-char (point-min))
  (and (re-search-forward "^s?plot[ \t]+" nil t)
       (let ((beg (point)))
	 (goto-char (point-max))
	 (if (or all
		 (not (search-backward "," nil t))
		 (< (point) beg))
	     (progn
	       (goto-char beg)
	       (if before
		   (beginning-of-line)))
	   (or before
	       (re-search-forward ",[ \t]+")))
	 t)))

(defun calc-graph-add (many)
  (interactive "P")
  (calc-wrapper
   (calc-graph-init)
   (cond ((null many)
	  (calc-graph-add-curve (calc-graph-lookup (calc-top-n 2))
				(calc-graph-lookup (calc-top-n 1))))
	 ((or (consp many) (eq many 0))
	  (let ((xdata (calc-graph-lookup (calc-top-n 2)))
		(ylist (calc-top-n 1)))
	    (or (eq (car-safe ylist) 'vec)
		(error "Y argument must be a vector"))
	    (while (setq ylist (cdr ylist))
	      (calc-graph-add-curve xdata (calc-graph-lookup (car ylist))))))
	 ((> (setq many (prefix-numeric-value many)) 0)
	  (let ((xdata (calc-graph-lookup (calc-top-n (1+ many)))))
	    (while (> many 0)
	      (calc-graph-add-curve xdata
				    (calc-graph-lookup (calc-top-n many)))
	      (setq many (1- many)))))
	 (t
	  (let (pair)
	    (setq many (- many))
	    (while (> many 0)
	      (setq pair (calc-top-n many))
	      (or (and (eq (car-safe pair) 'vec)
		       (= (length pair) 3))
		  (error "Argument must be an [x,y] vector"))
	      (calc-graph-add-curve (calc-graph-lookup (nth 1 pair))
				    (calc-graph-lookup (nth 2 pair)))
	      (setq many (1- many))))))
   (calc-graph-view-commands)))

(defun calc-graph-add-3d (many)
  (interactive "P")
  (calc-wrapper
   (calc-graph-init)
   (cond ((null many)
	  (calc-graph-add-curve (calc-graph-lookup (calc-top-n 3))
				(calc-graph-lookup (calc-top-n 2))
				(calc-graph-lookup (calc-top-n 1))))
	 ((or (consp many) (eq many 0))
	  (let ((xdata (calc-graph-lookup (calc-top-n 3)))
		(ydata (calc-graph-lookup (calc-top-n 2)))
		(zlist (calc-top-n 1)))
	    (or (eq (car-safe zlist) 'vec)
		(error "Z argument must be a vector"))
	    (while (setq zlist (cdr zlist))
	      (calc-graph-add-curve xdata ydata
				    (calc-graph-lookup (car zlist))))))
	 ((> (setq many (prefix-numeric-value many)) 0)
	  (let ((xdata (calc-graph-lookup (calc-top-n (+ many 2))))
		(ydata (calc-graph-lookup (calc-top-n (+ many 1)))))
	    (while (> many 0)
	      (calc-graph-add-curve xdata ydata
				    (calc-graph-lookup (calc-top-n many)))
	      (setq many (1- many)))))
	 (t
	  (let (curve)
	    (setq many (- many))
	    (while (> many 0)
	      (setq curve (calc-top-n many))
	      (or (and (eq (car-safe curve) 'vec)
		       (= (length curve) 4))
		  (error "Argument must be an [x,y,z] vector"))
	      (calc-graph-add-curve (calc-graph-lookup (nth 1 curve))
				    (calc-graph-lookup (nth 2 curve))
				    (calc-graph-lookup (nth 3 curve)))
	      (setq many (1- many))))))
   (calc-graph-view-commands)))

(defun calc-graph-add-curve (xdata ydata &optional zdata)
  (let ((num (calc-graph-count-curves))
	(pstyle (calc-var-value 'var-PointStyles))
	(lstyle (calc-var-value 'var-LineStyles)))
    (save-excursion
      (set-buffer calc-gnuplot-input)
      (goto-char (point-min))
      (if (re-search-forward (if zdata "^plot[ \t]" "^splot[ \t]")
			     nil t)
	  (error "Can't mix 2d and 3d curves on one graph"))
      (if (re-search-forward "^s?plot[ \t]" nil t)
	  (progn
	    (end-of-line)
	    (insert ", "))
	(goto-char (point-max))
	(or (eq (preceding-char) ?\n)
	    (insert "\n"))
	(insert (if zdata "splot" "plot") " \n")
	(forward-char -1))
      (insert "{" (symbol-name (nth 1 xdata))
	      ":" (symbol-name (nth 1 ydata)))
      (if zdata
	  (insert ":" (symbol-name (nth 1 zdata))))
      (insert "} "
	      "title \"" (symbol-name (nth 1 ydata)) "\" "
	      "with dots")
      (setq pstyle (and (eq (car-safe pstyle) 'vec) (nth (1+ num) pstyle)))
      (setq lstyle (and (eq (car-safe lstyle) 'vec) (nth (1+ num) lstyle))))
    (calc-graph-set-styles
     (or (and (Math-num-integerp lstyle) (math-trunc lstyle))
         0)
     (or (and (Math-num-integerp pstyle) (math-trunc pstyle))
         (if (eq (car-safe (calc-var-value (nth 2 ydata))) 'vec)
             0 -1)))))

(defun calc-graph-lookup (thing)
  (if (and (eq (car-safe thing) 'var)
	   (calc-var-value (nth 2 thing)))
      thing
    (let ((found (assoc thing calc-graph-var-cache)))
      (or found
	  (let ((varname (concat "PlotData"
                                 (int-to-string
                                  (1+ (length calc-graph-var-cache))))))
            (setq var (list 'var (intern varname)
			    (intern (concat "var-" varname)))
		  found (cons thing var)
		  calc-graph-var-cache (cons found calc-graph-var-cache))
	    (set (nth 2 var) thing)))
      (cdr found))))

(defun calc-graph-juggle (arg)
  (interactive "p")
  (calc-graph-init)
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (if (< arg 0)
	(let ((num (calc-graph-count-curves)))
	  (if (> num 0)
	      (while (< arg 0)
		(setq arg (+ arg num))))))
    (while (>= (setq arg (1- arg)) 0)
      (calc-graph-do-juggle))))

(defun calc-graph-count-curves ()
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (if (re-search-forward "^s?plot[ \t]" nil t)
	(let ((num 1))
	  (goto-char (point-min))
	  (while (search-forward "," nil t)
	    (setq num (1+ num)))
	  num)
      0)))

(defun calc-graph-do-juggle ()
  (let (base)
    (and (calc-graph-find-plot t t)
	 (progn
	   (setq base (point))
	   (calc-graph-find-plot t nil)
	   (or (eq base (point))
	       (let ((str (buffer-substring (+ (point) 2) (1- (point-max)))))
		 (delete-region (point) (1- (point-max)))
		 (goto-char (+ base 5))
		 (insert str ", ")))))))

(defun calc-graph-print (flag)
  (interactive "P")
  (calc-graph-plot flag t))

(defvar var-DUMMY)
(defvar var-DUMMY2)
(defvar var-PlotRejects)

;; The following variables are local to calc-graph-plot, but are 
;; used in the functions calc-graph-compute-2d, calc-graph-refine-2d,
;; calc-graph-recompute-2d, calc-graph-compute-3d and 
;; calc-graph-format-data, which are called by calc-graph-plot.
(defvar calc-graph-yvalue)
(defvar calc-graph-yvec)
(defvar calc-graph-numsteps)
(defvar calc-graph-numsteps3)
(defvar calc-graph-xvalue)
(defvar calc-graph-xvec)
(defvar calc-graph-xname)
(defvar calc-graph-yname)
(defvar calc-graph-xstep)
(defvar calc-graph-ycache)
(defvar calc-graph-ycacheptr)
(defvar calc-graph-refine)
(defvar calc-graph-keep-file)
(defvar calc-graph-xval)
(defvar calc-graph-xlow)
(defvar calc-graph-xhigh)
(defvar calc-graph-yval)
(defvar calc-graph-yp)
(defvar calc-graph-xp)
(defvar calc-graph-zp)
(defvar calc-graph-yvector)
(defvar calc-graph-resolution)
(defvar calc-graph-y3value)
(defvar calc-graph-y3name)
(defvar calc-graph-y3step)
(defvar calc-graph-zval)
(defvar calc-graph-stepcount)
(defvar calc-graph-is-splot)
(defvar calc-graph-surprise-splot)
(defvar calc-graph-blank)
(defvar calc-graph-non-blank)
(defvar calc-graph-curve-num)

(defun calc-graph-plot (flag &optional printing)
  (interactive "P")
  (calc-slow-wrapper
   (let ((calcbuf (current-buffer))
	 (tempbuf (get-buffer-create "*Gnuplot Temp-2*"))
	 (tempbuftop 1)
	 (tempoutfile nil)
	 (calc-graph-curve-num 0)
	 (calc-graph-refine (and flag (> (prefix-numeric-value flag) 0)))
	 (recompute (and flag (< (prefix-numeric-value flag) 0)))
	 (calc-graph-surprise-splot nil)
	 (tty-output nil)
	 cache-env calc-graph-is-splot device output calc-graph-resolution precision samples-pos)
     (add-hook 'kill-emacs-hook 'calc-graph-kill-hook)
     (save-excursion
       (calc-graph-init)
       (set-buffer tempbuf)
       (erase-buffer)
       (set-buffer calc-gnuplot-input)
       (goto-char (point-min))
       (setq calc-graph-is-splot (re-search-forward "^splot[ \t]" nil t))
       (let ((str (buffer-string))
	     (ver calc-gnuplot-version))
	 (set-buffer (get-buffer-create "*Gnuplot Temp*"))
	 (erase-buffer)
	 (insert "# (Note: This is a temporary copy---do not edit!)\n")
	 (if (>= ver 2)
	     (insert "set noarrow\nset nolabel\n"
		     "set autoscale xy\nset nologscale xy\n"
		     "set xlabel\nset ylabel\nset title\n"
		     "set noclip points\nset clip one\nset clip two\n"
		     "set format \"%g\"\nset tics\nset xtics\nset ytics\n"
		     "set data style linespoints\n"
		     "set nogrid\nset nokey\nset nopolar\n"))
	 (if (>= ver 3)
	     (insert "set surface\nset nocontour\n"
		     "set " (if calc-graph-is-splot "" "no") "parametric\n"
		     "set notime\nset border\nset ztics\nset zeroaxis\n"
		     "set view 60,30,1,1\nset offsets 0,0,0,0\n"))
	 (setq samples-pos (point))
	 (insert "\n\n" str))
       (goto-char (point-min))
       (if calc-graph-is-splot
	   (if calc-graph-refine
	       (error "This option works only for 2d plots")
	     (setq recompute t)))
       (let ((calc-gnuplot-input (current-buffer))
	     (calc-graph-no-auto-view t))
	 (if printing
	     (setq device calc-gnuplot-print-device
		   output calc-gnuplot-print-output)
	   (setq device (calc-graph-find-command "terminal")
		 output (calc-graph-find-command "output"))
	   (or device
	       (setq device calc-gnuplot-default-device))
	   (if output
	       (setq output (car (read-from-string output)))
	     (setq output calc-gnuplot-default-output)))
	 (if (or (equal device "") (equal device "default"))
	     (setq device (if printing
			      "postscript"
			    (if (or (eq window-system 'x) (getenv "DISPLAY"))
				"x11"
			      (if (>= calc-gnuplot-version 3)
				  "dumb" "postscript")))))
	 (if (equal device "dumb")
	     (setq device (format "dumb %d %d"
				  (1- (frame-width)) (1- (frame-height)))))
	 (if (equal device "big")
	     (setq device (format "dumb %d %d"
				  (* 4 (- (frame-width) 3))
				  (* 4 (- (frame-height) 3)))))
	 (if (stringp output)
	     (if (or (equal output "auto")
		     (and (equal output "tty") (setq tty-output t)))
		 (setq tempoutfile (calc-temp-file-name -1)
		       output tempoutfile))
	   (setq output (eval output)))
	 (or (equal device calc-graph-last-device)
	     (progn
	       (setq calc-graph-last-device device)
	       (calc-gnuplot-command "set terminal" device)))
	 (or (equal output calc-graph-last-output)
	     (progn
	       (setq calc-graph-last-output output)
	       (calc-gnuplot-command "set output"
				     (if (equal output "STDOUT")
					 ""
				       (prin1-to-string output)))))
	 (setq calc-graph-resolution (calc-graph-find-command "samples"))
	 (if calc-graph-resolution
	     (setq calc-graph-resolution (string-to-number calc-graph-resolution))
	   (setq calc-graph-resolution (if calc-graph-is-splot
				calc-graph-default-resolution-3d
			      calc-graph-default-resolution)))
	 (setq precision (calc-graph-find-command "precision"))
	 (if precision
	     (setq precision (string-to-number precision))
	   (setq precision calc-graph-default-precision))
	 (calc-graph-set-command "terminal")
	 (calc-graph-set-command "output")
	 (calc-graph-set-command "samples")
	 (calc-graph-set-command "precision"))
       (goto-char samples-pos)
       (insert "set samples " (int-to-string (max (if calc-graph-is-splot 20 200)
						  (+ 5 calc-graph-resolution))) "\n")
       (while (re-search-forward "{\\*[^}]+}[^,\n]*" nil t)
	 (delete-region (match-beginning 0) (match-end 0))
	 (if (looking-at ",")
	     (delete-char 1)
	   (while (memq (preceding-char) '(?\s ?\t))
	     (forward-char -1))
	   (if (eq (preceding-char) ?\,)
	       (delete-backward-char 1))))
       (save-excursion
	 (set-buffer calcbuf)
	 (setq cache-env (list calc-angle-mode
			       calc-complex-mode
			       calc-simplify-mode
			       calc-infinite-mode
			       calc-word-size
			       precision calc-graph-is-splot))
	 (if (and (not recompute)
		  (equal (cdr (car calc-graph-data-cache)) cache-env))
	     (while (> (length calc-graph-data-cache)
		       calc-graph-data-cache-limit)
	       (setcdr calc-graph-data-cache
		       (cdr (cdr calc-graph-data-cache))))
	   (setq calc-graph-data-cache (list (cons nil cache-env)))))
       (calc-graph-find-plot t t)
       (while (re-search-forward
	       (if calc-graph-is-splot
		   "{\\([^{}:\n]+\\):\\([^{}:\n]+\\):\\([^{}:\n]+\\)}"
		 "{\\([^{}:\n]+\\)\\(:\\)\\([^{}:\n]+\\)}")
	       nil t)
	 (setq calc-graph-curve-num (1+ calc-graph-curve-num))
	 (let* ((calc-graph-xname (buffer-substring (match-beginning 1) (match-end 1)))
		(xvar (intern (concat "var-" calc-graph-xname)))
		(calc-graph-xvalue (math-evaluate-expr (calc-var-value xvar)))
		(calc-graph-y3name (and calc-graph-is-splot
			     (buffer-substring (match-beginning 2)
					       (match-end 2))))
		(y3var (and calc-graph-is-splot (intern (concat "var-" calc-graph-y3name))))
		(calc-graph-y3value (and calc-graph-is-splot (calc-var-value y3var)))
		(calc-graph-yname (buffer-substring (match-beginning 3) (match-end 3)))
		(yvar (intern (concat "var-" calc-graph-yname)))
		(calc-graph-yvalue (calc-var-value yvar))
		filename)
	   (delete-region (match-beginning 0) (match-end 0))
	   (setq filename (calc-temp-file-name calc-graph-curve-num))
	   (save-excursion
	     (set-buffer calcbuf)
	     (let (tempbuftop
		   (calc-graph-xp calc-graph-xvalue)
		   (calc-graph-yp calc-graph-yvalue)
		   (calc-graph-zp nil)
		   (calc-graph-xlow nil) (calc-graph-xhigh nil) (y3low nil) (y3high nil)
		   calc-graph-xvec calc-graph-xval calc-graph-xstep var-DUMMY
		   y3val calc-graph-y3step var-DUMMY2 (calc-graph-zval nil)
		   calc-graph-yvec calc-graph-yval calc-graph-ycache calc-graph-ycacheptr calc-graph-yvector
		   calc-graph-numsteps calc-graph-numsteps3
		   (calc-graph-keep-file (and (not calc-graph-is-splot) (file-exists-p filename)))
		   (calc-graph-stepcount 0)
		   (calc-symbolic-mode nil)
		   (calc-prefer-frac nil)
		   (calc-internal-prec (max 3 precision))
		   (calc-simplify-mode (and (not (memq calc-simplify-mode
						       '(none num)))
					    calc-simplify-mode))
		   (calc-graph-blank t)
		   (calc-graph-non-blank nil)
		   (math-working-step 0)
		   (math-working-step-2 nil))
	       (save-excursion
		 (if calc-graph-is-splot
		     (calc-graph-compute-3d)
		   (calc-graph-compute-2d))
		 (set-buffer tempbuf)
		 (goto-char (point-max))
		 (insert "\n" calc-graph-xname)
		 (if calc-graph-is-splot
		     (insert ":" calc-graph-y3name))
		 (insert ":" calc-graph-yname "\n\n")
		 (setq tempbuftop (point))
		 (let ((calc-group-digits nil)
		       (calc-leading-zeros nil)
		       (calc-number-radix 10)
		       (entry (and (not calc-graph-is-splot)
				   (list calc-graph-xp calc-graph-yp calc-graph-xhigh calc-graph-numsteps))))
		   (or (equal entry
			      (nth 1 (nth (1+ calc-graph-curve-num)
					  calc-graph-file-cache)))
		       (setq calc-graph-keep-file nil))
		   (setcar (cdr (nth (1+ calc-graph-curve-num) calc-graph-file-cache))
			   entry)
		   (or calc-graph-keep-file
		       (calc-graph-format-data)))
		 (or calc-graph-keep-file
		     (progn
		       (or calc-graph-non-blank
			   (error "No valid data points for %s:%s"
				  calc-graph-xname calc-graph-yname))
		       (write-region tempbuftop (point-max) filename
				     nil 'quiet))))))
	   (insert (prin1-to-string filename))))
       (if calc-graph-surprise-splot
	   (setcdr cache-env nil))
       (if (= calc-graph-curve-num 0)
	   (progn
	     (calc-gnuplot-command "clear")
	     (calc-clear-command-flag 'clear-message)
	     (message "No data to plot!"))
	 (setq calc-graph-data-cache-limit (max calc-graph-curve-num
						calc-graph-data-cache-limit)
	       filename (calc-temp-file-name 0))
	 (write-region (point-min) (point-max) filename nil 'quiet)
	 (calc-gnuplot-command "load" (prin1-to-string filename))
	 (or (equal output "STDOUT")
	     calc-gnuplot-keep-outfile
	     (progn   ; need to close the output file before printing/plotting
	       (setq calc-graph-last-output "STDOUT")
	       (calc-gnuplot-command "set output")))
	 (let ((command (if printing
			    calc-gnuplot-print-command
			  (or calc-gnuplot-plot-command
			      (and (string-match "^dumb" device)
				   'calc-graph-show-dumb)
			      (and tty-output
				   'calc-graph-show-tty)))))
	   (if command
	       (if (stringp command)
		   (calc-gnuplot-command
		    "!" (format command
				(or tempoutfile
				    calc-gnuplot-print-output)))
		 (if (symbolp command)
		     (funcall command output)
		   (eval command))))))))))

(defun calc-graph-compute-2d ()
  (if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
      (if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
	  (error "Can't plot an empty vector")
	(if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
	    (or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
		(error "%s and %s have different lengths" calc-graph-xname calc-graph-yname))
	  (if (and (eq (car-safe calc-graph-xvalue) 'intv)
		   (math-constp calc-graph-xvalue))
	      (setq calc-graph-xstep (math-div (math-sub (nth 3 calc-graph-xvalue)
					      (nth 2 calc-graph-xvalue))
				    (1- calc-graph-numsteps))
		    calc-graph-xvalue (nth 2 calc-graph-xvalue))
	    (if (math-realp calc-graph-xvalue)
		(setq calc-graph-xstep 1)
	      (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname)))))
    (or (math-realp calc-graph-yvalue)
	(let ((arglist nil))
	  (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
	  (calc-default-formula-arglist calc-graph-yvalue)
	  (or arglist
	      (error "%s does not contain any unassigned variables" calc-graph-yname))
	  (and (cdr arglist)
	       (error "%s contains more than one variable: %s"
		      calc-graph-yname arglist))
	  (setq calc-graph-yvalue (math-expr-subst calc-graph-yvalue
					(math-build-var-name (car arglist))
					'(var DUMMY var-DUMMY)))))
    (setq calc-graph-ycache (assoc calc-graph-yvalue calc-graph-data-cache))
    (delq calc-graph-ycache calc-graph-data-cache)
    (nconc calc-graph-data-cache
	   (list (or calc-graph-ycache (setq calc-graph-ycache (list calc-graph-yvalue)))))
    (if (and (not (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec)))
	     calc-graph-refine (cdr (cdr calc-graph-ycache)))
	(calc-graph-refine-2d)
      (calc-graph-recompute-2d))))

(defun calc-graph-refine-2d ()
  (setq calc-graph-keep-file nil
	calc-graph-ycacheptr (cdr calc-graph-ycache))
  (if (and (setq calc-graph-xval (calc-graph-find-command "xrange"))
	   (string-match "\\`\\[\\([0-9.eE+-]*\\):\\([0-9.eE+-]*\\)\\]\\'"
			 calc-graph-xval))
      (let ((b2 (match-beginning 2))
	    (e2 (match-end 2)))
	(setq calc-graph-xlow (math-read-number (substring calc-graph-xval
						(match-beginning 1)
						(match-end 1)))
	      calc-graph-xhigh (math-read-number (substring calc-graph-xval b2 e2))))
    (if calc-graph-xlow
	(while (and (cdr calc-graph-ycacheptr)
		    (Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xlow))
	  (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))))
  (setq math-working-step-2 (1- (length calc-graph-ycacheptr)))
  (while (and (cdr calc-graph-ycacheptr)
	      (or (not calc-graph-xhigh)
		  (Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xhigh)))
    (setq var-DUMMY (math-div (math-add (car (car calc-graph-ycacheptr))
					(car (nth 1 calc-graph-ycacheptr)))
			      2)
	  math-working-step (1+ math-working-step)
	  calc-graph-yval (math-evaluate-expr calc-graph-yvalue))
    (setcdr calc-graph-ycacheptr (cons (cons var-DUMMY calc-graph-yval)
			    (cdr calc-graph-ycacheptr)))
    (setq calc-graph-ycacheptr (cdr (cdr calc-graph-ycacheptr))))
  (setq calc-graph-yp calc-graph-ycache
	calc-graph-numsteps 1000000))

(defun calc-graph-recompute-2d ()
  (setq calc-graph-ycacheptr calc-graph-ycache)
  (if calc-graph-xvec
      (setq calc-graph-numsteps (1- (length calc-graph-xvalue))
	    calc-graph-yvector nil)
    (if (and (eq (car-safe calc-graph-xvalue) 'intv)
	     (math-constp calc-graph-xvalue))
	(setq calc-graph-numsteps calc-graph-resolution
	      calc-graph-yp nil
	      calc-graph-xlow (nth 2 calc-graph-xvalue)
	      calc-graph-xhigh (nth 3 calc-graph-xvalue)
	      calc-graph-xstep (math-div (math-sub calc-graph-xhigh calc-graph-xlow)
			      (1- calc-graph-numsteps))
	      calc-graph-xvalue (nth 2 calc-graph-xvalue))
      (error "%s is not a suitable basis for %s"
	     calc-graph-xname calc-graph-yname)))
  (setq math-working-step-2 calc-graph-numsteps)
  (while (>= (setq calc-graph-numsteps (1- calc-graph-numsteps)) 0)
    (setq math-working-step (1+ math-working-step))
    (if calc-graph-xvec
	(progn
	  (setq calc-graph-xp (cdr calc-graph-xp)
		calc-graph-xval (car calc-graph-xp))
	  (and (not (eq calc-graph-ycacheptr calc-graph-ycache))
	       (consp (car calc-graph-ycacheptr))
	       (not (Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xval))
	       (setq calc-graph-ycacheptr calc-graph-ycache)))
      (if (= calc-graph-numsteps 0)
	  (setq calc-graph-xval calc-graph-xhigh)   ; avoid cumulative roundoff
	(setq calc-graph-xval calc-graph-xvalue
	      calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep))))
    (while (and (cdr calc-graph-ycacheptr)
		(Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
      (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))
    (or (and (cdr calc-graph-ycacheptr)
	     (Math-equal (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
	(progn
	  (setq calc-graph-keep-file nil
		var-DUMMY calc-graph-xval)
	  (setcdr calc-graph-ycacheptr (cons (cons calc-graph-xval (math-evaluate-expr calc-graph-yvalue))
				  (cdr calc-graph-ycacheptr)))))
    (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr))
    (if calc-graph-xvec
	(setq calc-graph-yvector (cons (cdr (car calc-graph-ycacheptr)) calc-graph-yvector))
      (or calc-graph-yp (setq calc-graph-yp calc-graph-ycacheptr))))
  (if calc-graph-xvec
      (setq calc-graph-xp calc-graph-xvalue
	    calc-graph-yvec t
	    calc-graph-yp (cons 'vec (nreverse calc-graph-yvector))
	    calc-graph-numsteps (1- (length calc-graph-xp)))
    (setq calc-graph-numsteps 1000000)))

(defun calc-graph-compute-3d ()
  (if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
      (if (math-matrixp calc-graph-yvalue)
	  (progn
	    (setq calc-graph-numsteps (1- (length calc-graph-yvalue))
		  calc-graph-numsteps3 (1- (length (nth 1 calc-graph-yvalue))))
	    (if (eq (car-safe calc-graph-xvalue) 'vec)
		(or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
		    (error "%s has wrong length" calc-graph-xname))
	      (if (and (eq (car-safe calc-graph-xvalue) 'intv)
		       (math-constp calc-graph-xvalue))
		  (setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps
					       (nth 2 calc-graph-xvalue)
					       (math-div
						(math-sub (nth 3 calc-graph-xvalue)
							  (nth 2 calc-graph-xvalue))
						(1- calc-graph-numsteps))))
		(if (math-realp calc-graph-xvalue)
		    (setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps calc-graph-xvalue 1))
		  (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))))
	    (if (eq (car-safe calc-graph-y3value) 'vec)
		(or (= (1- (length calc-graph-y3value)) calc-graph-numsteps3)
		    (error "%s has wrong length" calc-graph-y3name))
	      (if (and (eq (car-safe calc-graph-y3value) 'intv)
		       (math-constp calc-graph-y3value))
		  (setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3
						(nth 2 calc-graph-y3value)
						(math-div
						 (math-sub (nth 3 calc-graph-y3value)
							   (nth 2 calc-graph-y3value))
						 (1- calc-graph-numsteps3))))
		(if (math-realp calc-graph-y3value)
		    (setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3 calc-graph-y3value 1))
		  (error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))))
	    (setq calc-graph-xp nil
		  calc-graph-yp nil
		  calc-graph-zp nil
		  calc-graph-xvec t)
	    (while (setq calc-graph-xvalue (cdr calc-graph-xvalue) calc-graph-yvalue (cdr calc-graph-yvalue))
	      (setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
		    calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
		    calc-graph-zp (nconc calc-graph-zp (cons '(skip)
				       (copy-sequence (cdr (car calc-graph-yvalue)))))))
	    (setq calc-graph-numsteps (1- (* calc-graph-numsteps 
                                             (1+ calc-graph-numsteps3)))))
	(if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
	    (error "Can't plot an empty vector"))
	(or (and (eq (car-safe calc-graph-xvalue) 'vec)
		 (= (1- (length calc-graph-xvalue)) calc-graph-numsteps))
	    (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))
	(or (and (eq (car-safe calc-graph-y3value) 'vec)
		 (= (1- (length calc-graph-y3value)) calc-graph-numsteps))
	    (error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))
	(setq calc-graph-xp calc-graph-xvalue
	      calc-graph-yp calc-graph-y3value
	      calc-graph-zp calc-graph-yvalue
	      calc-graph-xvec t))
    (or (math-realp calc-graph-yvalue)
	(let ((arglist nil))
	  (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
	  (calc-default-formula-arglist calc-graph-yvalue)
	  (setq arglist (sort arglist 'string-lessp))
	  (or (cdr arglist)
	      (error "%s does not contain enough unassigned variables" calc-graph-yname))
	  (and (cdr (cdr arglist))
	       (error "%s contains too many variables: %s" calc-graph-yname arglist))
	  (setq calc-graph-yvalue (math-multi-subst calc-graph-yvalue
					 (mapcar 'math-build-var-name
						 arglist)
					 '((var DUMMY var-DUMMY)
					   (var DUMMY2 var-DUMMY2))))))
    (if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
	(setq calc-graph-numsteps (1- (length calc-graph-xvalue)))
      (if (and (eq (car-safe calc-graph-xvalue) 'intv)
	       (math-constp calc-graph-xvalue))
	  (setq calc-graph-numsteps calc-graph-resolution
		calc-graph-xvalue (calcFunc-index calc-graph-numsteps
				       (nth 2 calc-graph-xvalue)
				       (math-div (math-sub (nth 3 calc-graph-xvalue)
							   (nth 2 calc-graph-xvalue))
						 (1- calc-graph-numsteps))))
	(error "%s is not a suitable basis for %s"
	       calc-graph-xname calc-graph-yname)))
    (if (eq (car-safe calc-graph-y3value) 'vec)
	(setq calc-graph-numsteps3 (1- (length calc-graph-y3value)))
      (if (and (eq (car-safe calc-graph-y3value) 'intv)
	       (math-constp calc-graph-y3value))
	  (setq calc-graph-numsteps3 calc-graph-resolution
		calc-graph-y3value (calcFunc-index calc-graph-numsteps3
					(nth 2 calc-graph-y3value)
					(math-div (math-sub (nth 3 calc-graph-y3value)
							    (nth 2 calc-graph-y3value))
						  (1- calc-graph-numsteps3))))
	(error "%s is not a suitable basis for %s"
	       calc-graph-y3name calc-graph-yname)))
    (setq calc-graph-xp nil
	  calc-graph-yp nil
	  calc-graph-zp nil
	  calc-graph-xvec t)
    (setq math-working-step 0)
    (while (setq calc-graph-xvalue (cdr calc-graph-xvalue))
      (setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
	    calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
	    calc-graph-zp (cons '(skip) calc-graph-zp)
	    calc-graph-y3step calc-graph-y3value
	    var-DUMMY (car calc-graph-xvalue)
	    math-working-step-2 0
	    math-working-step (1+ math-working-step))
      (while (setq calc-graph-y3step (cdr calc-graph-y3step))
	(setq math-working-step-2 (1+ math-working-step-2)
	      var-DUMMY2 (car calc-graph-y3step)
	      calc-graph-zp (cons (math-evaluate-expr calc-graph-yvalue) calc-graph-zp))))
    (setq calc-graph-zp (nreverse calc-graph-zp)
	  calc-graph-numsteps (1- (* calc-graph-numsteps (1+ calc-graph-numsteps3))))))

(defun calc-graph-format-data ()
  (while (<= (setq calc-graph-stepcount (1+ calc-graph-stepcount)) calc-graph-numsteps)
    (if calc-graph-xvec
	(setq calc-graph-xp (cdr calc-graph-xp)
	      calc-graph-xval (car calc-graph-xp)
	      calc-graph-yp (cdr calc-graph-yp)
	      calc-graph-yval (car calc-graph-yp)
	      calc-graph-zp (cdr calc-graph-zp)
	      calc-graph-zval (car calc-graph-zp))
      (if calc-graph-yvec
	  (setq calc-graph-xval calc-graph-xvalue
		calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep)
		calc-graph-yp (cdr calc-graph-yp)
		calc-graph-yval (car calc-graph-yp))
	(setq calc-graph-xval (car (car calc-graph-yp))
	      calc-graph-yval (cdr (car calc-graph-yp))
	      calc-graph-yp (cdr calc-graph-yp))
	(if (or (not calc-graph-yp)
		(and calc-graph-xhigh (equal calc-graph-xval calc-graph-xhigh)))
	    (setq calc-graph-numsteps 0))))
    (if calc-graph-is-splot
	(if (and (eq (car-safe calc-graph-zval) 'calcFunc-xyz)
		 (= (length calc-graph-zval) 4))
	    (setq calc-graph-xval (nth 1 calc-graph-zval)
		  calc-graph-yval (nth 2 calc-graph-zval)
		  calc-graph-zval (nth 3 calc-graph-zval)))
      (if (and (eq (car-safe calc-graph-yval) 'calcFunc-xyz)
	       (= (length calc-graph-yval) 4))
	  (progn
	    (or calc-graph-surprise-splot
		(save-excursion
		  (set-buffer (get-buffer-create "*Gnuplot Temp*"))
		  (save-excursion
		    (goto-char (point-max))
		    (re-search-backward "^plot[ \t]")
		    (insert "set parametric\ns")
		    (setq calc-graph-surprise-splot t))))
	    (setq calc-graph-xval (nth 1 calc-graph-yval)
		  calc-graph-zval (nth 3 calc-graph-yval)
		  calc-graph-yval (nth 2 calc-graph-yval)))
	(if (and (eq (car-safe calc-graph-yval) 'calcFunc-xy)
		 (= (length calc-graph-yval) 3))
	    (setq calc-graph-xval (nth 1 calc-graph-yval)
		  calc-graph-yval (nth 2 calc-graph-yval)))))
    (if (and (Math-realp calc-graph-xval)
	     (Math-realp calc-graph-yval)
	     (or (not calc-graph-zval) (Math-realp calc-graph-zval)))
	(progn
	  (setq calc-graph-blank nil
		calc-graph-non-blank t)
	  (if (Math-integerp calc-graph-xval)
	      (insert (math-format-number calc-graph-xval))
	    (if (eq (car calc-graph-xval) 'frac)
		(setq calc-graph-xval (math-float calc-graph-xval)))
	    (insert (math-format-number (nth 1 calc-graph-xval))
		    "e" (int-to-string (nth 2 calc-graph-xval))))
	  (insert " ")
	  (if (Math-integerp calc-graph-yval)
	      (insert (math-format-number calc-graph-yval))
	    (if (eq (car calc-graph-yval) 'frac)
		(setq calc-graph-yval (math-float calc-graph-yval)))
	    (insert (math-format-number (nth 1 calc-graph-yval))
		    "e" (int-to-string (nth 2 calc-graph-yval))))
	  (if calc-graph-zval
	      (progn
		(insert " ")
		(if (Math-integerp calc-graph-zval)
		    (insert (math-format-number calc-graph-zval))
		  (if (eq (car calc-graph-zval) 'frac)
		      (setq calc-graph-zval (math-float calc-graph-zval)))
		  (insert (math-format-number (nth 1 calc-graph-zval))
			  "e" (int-to-string (nth 2 calc-graph-zval))))))
	  (insert "\n"))
      (and (not (equal calc-graph-zval '(skip)))
           (boundp 'var-PlotRejects)
	   (eq (car-safe var-PlotRejects) 'vec)
	   (nconc var-PlotRejects
		  (list (list 'vec
			      calc-graph-curve-num
			      calc-graph-stepcount
			      calc-graph-xval calc-graph-yval)))
	   (calc-refresh-evaltos 'var-PlotRejects))
      (or calc-graph-blank
	  (progn
	    (insert "\n")
	    (setq calc-graph-blank t))))))

(defun calc-temp-file-name (num)
  (while (<= (length calc-graph-file-cache) (1+ num))
    (setq calc-graph-file-cache (nconc calc-graph-file-cache (list nil))))
  (car (or (nth (1+ num) calc-graph-file-cache)
	   (setcar (nthcdr (1+ num) calc-graph-file-cache)
		   (list (make-temp-file
			  (concat calc-gnuplot-tempfile
				  (if (<= num 0)
				      (char-to-string (- ?A num))
				    (int-to-string num))))
			 nil)))))

(defun calc-graph-delete-temps ()
  (while calc-graph-file-cache
    (and (car calc-graph-file-cache)
	 (file-exists-p (car (car calc-graph-file-cache)))
	 (condition-case err
	     (delete-file (car (car calc-graph-file-cache)))
	   (error nil)))
    (setq calc-graph-file-cache (cdr calc-graph-file-cache))))

(defun calc-graph-kill-hook ()
  (calc-graph-delete-temps))

(defun calc-graph-show-tty (output)
  "Default calc-gnuplot-plot-command for \"tty\" output mode.
This is useful for tek40xx and other graphics-terminal types."
  (call-process-region 1 1 shell-file-name
		       nil calc-gnuplot-buffer nil
		       "-c" (format "cat %s >/dev/tty; rm %s" output output)))

(defvar calc-dumb-map nil
  "The keymap for the \"dumb\" terminal plot.")

(defun calc-graph-show-dumb (&optional output)
  "Default calc-gnuplot-plot-command for Pinard's \"dumb\" terminal type.
This \"dumb\" driver will be present in Gnuplot 3.0."
  (interactive)
  (save-window-excursion
    (switch-to-buffer calc-gnuplot-buffer)
    (delete-other-windows)
    (goto-char calc-gnuplot-trail-mark)
    (or (search-forward "\f" nil t)
	(sleep-for 1))
    (goto-char (point-max))
    (re-search-backward "\f\\|^[ \t]+\\^$\\|G N U P L O T")
    (if (looking-at "\f")
	(progn
	  (forward-char 1)
	  (if (eolp) (forward-line 1))
	  (or (calc-graph-find-command "time")
	      (calc-graph-find-command "title")
	      (calc-graph-find-command "ylabel")
	      (let ((pt (point)))
		(insert-before-markers (format "(%s)" (current-time-string)))
		(goto-char pt)))
	  (set-window-start (selected-window) (point))
	  (goto-char (point-max)))
      (end-of-line)
      (backward-char 1)
      (recenter '(4)))
    (or calc-dumb-map
	(progn
	  (setq calc-dumb-map (make-sparse-keymap))
	  (define-key calc-dumb-map "\n" 'scroll-up)
	  (define-key calc-dumb-map " " 'scroll-up)
	  (define-key calc-dumb-map "\177" 'scroll-down)
	  (define-key calc-dumb-map "<" 'scroll-left)
	  (define-key calc-dumb-map ">" 'scroll-right)
	  (define-key calc-dumb-map "{" 'scroll-down)
	  (define-key calc-dumb-map "}" 'scroll-up)
	  (define-key calc-dumb-map "q" 'exit-recursive-edit)
	  (define-key calc-dumb-map "\C-c\C-c" 'exit-recursive-edit)))
    (use-local-map calc-dumb-map)
    (setq truncate-lines t)
    (message "Type `q' or `C-c C-c' to return to Calc")
    (recursive-edit)
    (bury-buffer "*Gnuplot Trail*")))

(defun calc-graph-clear ()
  (interactive)
  (if calc-graph-last-device
      (if (or (equal calc-graph-last-device "x11")
	      (equal calc-graph-last-device "X11"))
	  (calc-gnuplot-command "set output"
				(if (equal calc-graph-last-output "STDOUT")
				    ""
				  (prin1-to-string calc-graph-last-output)))
	(calc-gnuplot-command "clear"))))

(defun calc-graph-title-x (title)
  (interactive "sX axis title: ")
  (calc-graph-set-command "xlabel" (if (not (equal title ""))
				       (prin1-to-string title))))

(defun calc-graph-title-y (title)
  (interactive "sY axis title: ")
  (calc-graph-set-command "ylabel" (if (not (equal title ""))
				       (prin1-to-string title))))

(defun calc-graph-title-z (title)
  (interactive "sZ axis title: ")
  (calc-graph-set-command "zlabel" (if (not (equal title ""))
				       (prin1-to-string title))))

(defun calc-graph-range-x (range)
  (interactive "sX axis range: ")
  (calc-graph-set-range "xrange" range))

(defun calc-graph-range-y (range)
  (interactive "sY axis range: ")
  (calc-graph-set-range "yrange" range))

(defun calc-graph-range-z (range)
  (interactive "sZ axis range: ")
  (calc-graph-set-range "zrange" range))

(defun calc-graph-set-range (cmd range)
  (if (equal range "$")
      (calc-wrapper
       (let ((val (calc-top-n 1)))
	 (if (and (eq (car-safe val) 'intv) (math-constp val))
	     (setq range (concat
			  (math-format-number (math-float (nth 2 val))) ":"
			  (math-format-number (math-float (nth 3 val)))))
	   (if (and (eq (car-safe val) 'vec)
		    (= (length val) 3))
	       (setq range (concat
			    (math-format-number (math-float (nth 1 val))) ":"
			    (math-format-number (math-float (nth 2 val)))))
	     (error "Range specification must be an interval or 2-vector")))
	 (calc-pop-stack 1))))
  (if (string-match "\\[.+\\]" range)
      (setq range (substring range 1 -1)))
  (if (and (not (string-match ":" range))
	   (or (string-match "," range)
	       (string-match " " range)))
      (aset range (match-beginning 0) ?\:))
  (calc-graph-set-command cmd (if (not (equal range ""))
				  (concat "[" range "]"))))

(defun calc-graph-log-x (flag)
  (interactive "P")
  (calc-graph-set-log flag 0 0))

(defun calc-graph-log-y (flag)
  (interactive "P")
  (calc-graph-set-log 0 flag 0))

(defun calc-graph-log-z (flag)
  (interactive "P")
  (calc-graph-set-log 0 0 flag))

(defun calc-graph-set-log (xflag yflag zflag)
  (let* ((old (or (calc-graph-find-command "logscale") ""))
	 (xold (string-match "x" old))
	 (yold (string-match "y" old))
	 (zold (string-match "z" old))
	 str)
    (setq str (concat (if (if xflag
			      (if (eq xflag 0) xold
				(> (prefix-numeric-value xflag) 0))
			    (not xold)) "x" "")
		      (if (if yflag
			      (if (eq yflag 0) yold
				(> (prefix-numeric-value yflag) 0))
			    (not yold)) "y" "")
		      (if (if zflag
			      (if (eq zflag 0) zold
				(> (prefix-numeric-value zflag) 0))
			    (not zold)) "z" "")))
    (calc-graph-set-command "logscale" (if (not (equal str "")) str))))

(defun calc-graph-line-style (style)
  (interactive "P")
  (calc-graph-set-styles (and style (prefix-numeric-value style)) t))

(defun calc-graph-point-style (style)
  (interactive "P")
  (calc-graph-set-styles t (and style (prefix-numeric-value style))))

(defun calc-graph-set-styles (lines points)
  (calc-graph-init)
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (or (calc-graph-find-plot nil nil)
	(error "No data points have been set!"))
    (let ((base (point))
	  (mode nil) (lstyle nil) (pstyle nil)
	  start end lenbl penbl)
      (re-search-forward "[,\n]")
      (forward-char -1)
      (setq end (point) start end)
      (goto-char base)
      (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+with\\)")
	  (progn
	    (setq start (match-beginning 1))
	    (goto-char (match-end 0))
	    (if (looking-at "[ \t]+\\([a-z]+\\)")
		(setq mode (buffer-substring (match-beginning 1)
					     (match-end 1))))
	    (if (looking-at "[ \ta-z]+\\([0-9]+\\)")
		(setq lstyle (string-to-number
			      (buffer-substring (match-beginning 1)
						(match-end 1)))))
	    (if (looking-at "[ \ta-z]+[0-9]+[ \t]+\\([0-9]+\\)")
		(setq pstyle (string-to-number
			      (buffer-substring (match-beginning 1)
						(match-end 1)))))))
      (setq lenbl (or (equal mode "lines") (equal mode "linespoints"))
	    penbl (or (equal mode "points") (equal mode "linespoints")))
      (if lines
	  (or (eq lines t)
	      (setq lstyle lines
		    lenbl (>= lines 0)))
	(setq lenbl (not lenbl)))
      (if points
	  (or (eq points t)
	      (setq pstyle points
		    penbl (>= points 0)))
	(setq penbl (not penbl)))
      (delete-region start end)
      (goto-char start)
      (insert " with "
	      (if lenbl
		  (if penbl "linespoints" "lines")
		(if penbl "points" "dots")))
      (if (and pstyle (> pstyle 0))
	  (insert " " (if (and lstyle (> lstyle 0)) (int-to-string lstyle) "1")
		  " " (int-to-string pstyle))
	(if (and lstyle (> lstyle 0))
	    (insert " " (int-to-string lstyle))))))
  (calc-graph-view-commands))

(defun calc-graph-zero-x (flag)
  (interactive "P")
  (calc-graph-set-command "noxzeroaxis"
			  (and (if flag
				   (<= (prefix-numeric-value flag) 0)
				 (not (calc-graph-find-command "noxzeroaxis")))
			       " ")))

(defun calc-graph-zero-y (flag)
  (interactive "P")
  (calc-graph-set-command "noyzeroaxis"
			  (and (if flag
				   (<= (prefix-numeric-value flag) 0)
				 (not (calc-graph-find-command "noyzeroaxis")))
			       " ")))

(defun calc-graph-name (name)
  (interactive "sTitle for current curve: ")
  (calc-graph-init)
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (or (calc-graph-find-plot nil nil)
	(error "No data points have been set!"))
    (let ((base (point))
	  start
          end)
      (re-search-forward "[,\n]\\|[ \t]+with")
      (setq end (match-beginning 0))
      (goto-char base)
      (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+title\\)")
	  (progn
	    (goto-char (match-beginning 1))
	    (delete-region (point) end))
	(goto-char end))
      (insert " title " (prin1-to-string name))))
  (calc-graph-view-commands))

(defun calc-graph-hide (flag)
  (interactive "P")
  (calc-graph-init)
  (and (calc-graph-find-plot nil nil)
       (progn
	 (or (looking-at "{")
	     (error "Can't hide this curve (wrong format)"))
	 (forward-char 1)
	 (if (looking-at "*")
	     (if (or (null flag) (<= (prefix-numeric-value flag) 0))
		 (delete-char 1))
	   (if (or (null flag) (> (prefix-numeric-value flag) 0))
	       (insert "*"))))))

(defun calc-graph-header (title)
  (interactive "sTitle for entire graph: ")
  (calc-graph-set-command "title" (if (not (equal title ""))
				      (prin1-to-string title))))

(defun calc-graph-border (flag)
  (interactive "P")
  (calc-graph-set-command "noborder"
			  (and (if flag
				   (<= (prefix-numeric-value flag) 0)
				 (not (calc-graph-find-command "noborder")))
			       " ")))

(defun calc-graph-grid (flag)
  (interactive "P")
  (calc-graph-set-command "grid" (and (if flag
					  (> (prefix-numeric-value flag) 0)
					(not (calc-graph-find-command "grid")))
				      " ")))

(defun calc-graph-key (flag)
  (interactive "P")
  (calc-graph-set-command "key" (and (if flag
					 (> (prefix-numeric-value flag) 0)
				       (not (calc-graph-find-command "key")))
				     " ")))

(defun calc-graph-num-points (res flag)
  (interactive "sNumber of data points: \nP")
  (if flag
      (if (> (prefix-numeric-value flag) 0)
	  (if (equal res "")
	      (message "Default resolution is %d"
		       calc-graph-default-resolution)
	    (setq calc-graph-default-resolution (string-to-number res)))
	(if (equal res "")
	    (message "Default 3D resolution is %d"
		     calc-graph-default-resolution-3d)
	  (setq calc-graph-default-resolution-3d (string-to-number res))))
    (calc-graph-set-command "samples" (if (not (equal res "")) res))))

(defun calc-graph-device (name flag)
  (interactive "sDevice name: \nP")
  (if (equal name "?")
      (progn
	(calc-gnuplot-command "set terminal")
	(calc-graph-view-trail))
    (if flag
	(if (> (prefix-numeric-value flag) 0)
	    (if (equal name "")
		(message "Default GNUPLOT device is \"%s\""
			 calc-gnuplot-default-device)
	      (setq calc-gnuplot-default-device name))
	  (if (equal name "")
	      (message "GNUPLOT device for Print command is \"%s\""
		       calc-gnuplot-print-device)
	    (setq calc-gnuplot-print-device name)))
      (calc-graph-set-command "terminal" (if (not (equal name ""))
					     name)))))

(defun calc-graph-output (name flag)
  (interactive "FOutput file name: \np")
  (cond ((string-match "\\<[aA][uU][tT][oO]$" name)
	 (setq name "auto"))
	((string-match "\\<[tT][tT][yY]$" name)
	 (setq name "tty"))
	((string-match "\\<[sS][tT][dD][oO][uU][tT]$" name)
	 (setq name "STDOUT"))
	((equal (file-name-nondirectory name) "")
	 (setq name ""))
	(t (setq name (expand-file-name name))))
  (if flag
      (if (> (prefix-numeric-value flag) 0)
	  (if (equal name "")
	      (message "Default GNUPLOT output file is \"%s\""
		       calc-gnuplot-default-output)
	    (setq calc-gnuplot-default-output name))
	(if (equal name "")
	    (message "GNUPLOT output file for Print command is \"%s\""
		     calc-gnuplot-print-output)
	  (setq calc-gnuplot-print-output name)))
    (calc-graph-set-command "output" (if (not (equal name ""))
					 (prin1-to-string name)))))

(defun calc-graph-display (name)
  (interactive "sX display name: ")
  (if (equal name "")
      (message "Current X display is \"%s\""
	       (or calc-gnuplot-display "<none>"))
    (setq calc-gnuplot-display name)
    (if (calc-gnuplot-alive)
	(calc-gnuplot-command "exit"))))

(defun calc-graph-geometry (name)
  (interactive "sX geometry spec (or \"default\"): ")
  (if (equal name "")
      (message "Current X geometry is \"%s\""
	       (or calc-gnuplot-geometry "default"))
    (setq calc-gnuplot-geometry (and (not (equal name "default")) name))
    (if (calc-gnuplot-alive)
	(calc-gnuplot-command "exit"))))

(defun calc-graph-find-command (cmd)
  (calc-graph-init)
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (goto-char (point-min))
    (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t]*\\(.*\\)$") nil t)
	(buffer-substring (match-beginning 1) (match-end 1)))))

(defun calc-graph-set-command (cmd &rest args)
  (calc-graph-init)
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (goto-char (point-min))
    (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t\n]") nil t)
	(progn
	  (forward-char -1)
	  (end-of-line)
	  (let ((end (point)))
	    (beginning-of-line)
	    (delete-region (point) (1+ end))))
      (if (calc-graph-find-plot t t)
	  (if (eq (preceding-char) ?\n)
	      (forward-char -1))
	(goto-char (1- (point-max)))))
    (if (and args (car args))
	(progn
	  (or (bolp)
	      (insert "\n"))
	  (insert "set " (mapconcat 'identity (cons cmd args) " ") "\n"))))
  (calc-graph-view-commands))

(defun calc-graph-command (cmd)
  (interactive "sGNUPLOT command: ")
  (calc-wrapper
   (calc-graph-init)
   (calc-graph-view-trail)
   (calc-gnuplot-command cmd)
   (accept-process-output)
   (calc-graph-view-trail)))

(defun calc-graph-kill (&optional no-view)
  (interactive)
  (calc-graph-delete-temps)
  (if (calc-gnuplot-alive)
      (calc-wrapper
       (or no-view (calc-graph-view-trail))
       (let ((calc-graph-no-wait t))
	 (calc-gnuplot-command "exit"))
       (sit-for 1)
       (if (process-status calc-gnuplot-process)
	   (delete-process calc-gnuplot-process))
       (setq calc-gnuplot-process nil))))

(defun calc-graph-quit ()
  (interactive)
  (if (get-buffer-window calc-gnuplot-input)
      (calc-graph-view-commands t))
  (if (get-buffer-window calc-gnuplot-buffer)
      (calc-graph-view-trail t))
  (calc-graph-kill t))

(defun calc-graph-view-commands (&optional no-need)
  (interactive "p")
  (or calc-graph-no-auto-view (calc-graph-init-buffers))
  (calc-graph-view calc-gnuplot-input calc-gnuplot-buffer (null no-need)))

(defun calc-graph-view-trail (&optional no-need)
  (interactive "p")
  (or calc-graph-no-auto-view (calc-graph-init-buffers))
  (calc-graph-view calc-gnuplot-buffer calc-gnuplot-input (null no-need)))

(defun calc-graph-view (buf other-buf need)
  (let (win)
    (or calc-graph-no-auto-view
	(if (setq win (get-buffer-window buf))
	    (or need
		(and (eq buf calc-gnuplot-buffer)
		     (save-excursion
		       (set-buffer buf)
		       (not (pos-visible-in-window-p (point-max) win))))
		(progn
		  (bury-buffer buf)
		  (bury-buffer other-buf)
		  (let ((curwin (selected-window)))
		    (select-window win)
		    (switch-to-buffer nil)
		    (select-window curwin))))
	  (if (setq win (get-buffer-window other-buf))
	      (set-window-buffer win buf)
	    (if (eq major-mode 'calc-mode)
		(if (or need
			(< (window-height) (1- (frame-height))))
		    (display-buffer buf))
	      (switch-to-buffer buf)))))
    (save-excursion
      (set-buffer buf)
      (if (and (eq buf calc-gnuplot-buffer)
	       (setq win (get-buffer-window buf))
	       (not (pos-visible-in-window-p (point-max) win)))
	  (progn
	    (goto-char (point-max))
	    (vertical-motion (- 6 (window-height win)))
	    (set-window-start win (point))
	    (goto-char (point-max)))))
    (or calc-graph-no-auto-view (sit-for 0))))

(defun calc-gnuplot-check-for-errors ()
  (if (save-excursion
	(prog2
	 (progn
	   (set-buffer calc-gnuplot-buffer)
	   (goto-char calc-gnuplot-last-error-pos))
	 (re-search-forward "^[ \t]+\\^$" nil t)
	 (goto-char (point-max))
	 (setq calc-gnuplot-last-error-pos (point-max))))
      (calc-graph-view-trail)))

(defun calc-gnuplot-command (&rest args)
  (calc-graph-init)
  (let ((cmd (concat (mapconcat 'identity args " ") "\n")))
    (accept-process-output)
    (save-excursion
      (set-buffer calc-gnuplot-buffer)
      (calc-gnuplot-check-for-errors)
      (goto-char (point-max))
      (setq calc-gnuplot-trail-mark (point))
      (or (>= calc-gnuplot-version 3)
	  (insert cmd))
      (set-marker (process-mark calc-gnuplot-process) (point))
      (process-send-string calc-gnuplot-process cmd)
      (if (get-buffer-window calc-gnuplot-buffer)
	  (calc-graph-view-trail))
      (accept-process-output (and (not calc-graph-no-wait)
				  calc-gnuplot-process))
      (calc-gnuplot-check-for-errors)
      (if (get-buffer-window calc-gnuplot-buffer)
	  (calc-graph-view-trail)))))

(defun calc-graph-init-buffers ()
  (or (and calc-gnuplot-buffer
	   (buffer-name calc-gnuplot-buffer))
      (setq calc-gnuplot-buffer (get-buffer-create "*Gnuplot Trail*")))
  (or (and calc-gnuplot-input
	   (buffer-name calc-gnuplot-input))
      (setq calc-gnuplot-input (get-buffer-create "*Gnuplot Commands*"))))

(defun calc-graph-init ()
  (or (calc-gnuplot-alive)
      (let ((process-connection-type t)
	    origin)
	(if calc-gnuplot-process
	    (progn
	      (delete-process calc-gnuplot-process)
	      (setq calc-gnuplot-process nil)))
	(calc-graph-init-buffers)
	(save-excursion
	  (set-buffer calc-gnuplot-buffer)
	  (insert "\nStarting gnuplot...\n")
	  (setq origin (point)))
	(setq calc-graph-last-device nil)
	(setq calc-graph-last-output nil)
	(condition-case err
	    (let ((args (append (and calc-gnuplot-display
				     (not (equal calc-gnuplot-display
						 (getenv "DISPLAY")))
				     (list "-display"
					   calc-gnuplot-display))
				(and calc-gnuplot-geometry
				     (list "-geometry"
					   calc-gnuplot-geometry)))))
	      (setq calc-gnuplot-process
		    (apply 'start-process
			   "gnuplot"
			   calc-gnuplot-buffer
			   calc-gnuplot-name
			   args))
	      (set-process-query-on-exit-flag calc-gnuplot-process nil))
	  (file-error
	   (error "Sorry, can't find \"%s\" on your system"
		  calc-gnuplot-name)))
	(save-excursion
	  (set-buffer calc-gnuplot-buffer)
	  (while (and (not (save-excursion
			     (goto-char origin)
			     (search-forward "gnuplot> " nil t)))
		      (memq (process-status calc-gnuplot-process) '(run stop)))
	    (accept-process-output calc-gnuplot-process))
	  (or (memq (process-status calc-gnuplot-process) '(run stop))
	      (error "Unable to start GNUPLOT process"))
	  (if (save-excursion
		(goto-char origin)
		(re-search-forward
		 "G N U P L O T.*\n.*version \\([0-9]+\\)\\." nil t))
	      (setq calc-gnuplot-version (string-to-number (buffer-substring
							 (match-beginning 1)
							 (match-end 1))))
	    (setq calc-gnuplot-version 1))
	  (goto-char (point-max)))))
  (save-excursion
    (set-buffer calc-gnuplot-input)
    (if (= (buffer-size) 0)
	(insert "# Commands for running gnuplot\n\n\n")
      (or calc-graph-no-auto-view
	  (eq (char-after (1- (point-max))) ?\n)
	  (progn
	    (goto-char (point-max))
	    (insert "\n"))))))

(provide 'calc-graph)

;;; arch-tag: e4b06a52-c386-4d54-a2bb-7c0a0ef533c2
;;; calc-graph.el ends here