lisp/calc/calc-graph.el

   1 ;;; calc-graph.el --- graph output functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
   4 ;;   2005, 2006, 2007 Free Software Foundation, Inc.
   5
   6 ;; Author: David Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software; you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation; either version 3, or (at your option)
  14 ;; any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs; see the file COPYING.  If not, write to the
  23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
  24 ;; Boston, MA 02110-1301, USA.
  25
  26 ;;; Commentary:
  27
  28 ;;; Code:
  29
  30 ;; This file is autoloaded from calc-ext.el.
  31
  32 (require 'calc-ext)
  33 (require 'calc-macs)
  34
  35 ;;; Graphics
  36
  37 ;; The following three variables are customizable and defined in calc.el.
  38 (defvar calc-gnuplot-name)
  39 (defvar calc-gnuplot-plot-command)
  40 (defvar calc-gnuplot-print-command)
  41
  42 (defvar calc-gnuplot-tempfile "calc")
  43
  44 (defvar calc-gnuplot-default-device)
  45 (defvar calc-gnuplot-default-output)
  46 (defvar calc-gnuplot-print-device)
  47 (defvar calc-gnuplot-print-output)
  48 (defvar calc-gnuplot-keep-outfile nil)
  49 (defvar calc-gnuplot-version nil)
  50
  51 (defvar calc-gnuplot-display (getenv "DISPLAY"))
  52 (defvar calc-gnuplot-geometry)
  53
  54 (defvar calc-graph-default-resolution)
  55 (defvar calc-graph-default-resolution-3d)
  56 (defvar calc-graph-default-precision 5)
  57
  58 (defvar calc-gnuplot-buffer nil)
  59 (defvar calc-gnuplot-input nil)
  60
  61 (defvar calc-gnuplot-last-error-pos 1)
  62 (defvar calc-graph-last-device nil)
  63 (defvar calc-graph-last-output nil)
  64 (defvar calc-graph-file-cache nil)
  65 (defvar calc-graph-var-cache nil)
  66 (defvar calc-graph-data-cache nil)
  67 (defvar calc-graph-data-cache-limit 10)
  68 (defvar calc-graph-no-auto-view nil)
  69 (defvar calc-graph-no-wait nil)
  70 (defvar calc-gnuplot-trail-mark)
  71
  72 (defun calc-graph-fast (many)
  73   (interactive "P")
  74   (let ((calc-graph-no-auto-view t))
  75     (calc-graph-delete t)
  76     (calc-graph-add many)
  77     (calc-graph-plot nil)))
  78
  79 (defun calc-graph-fast-3d (many)
  80   (interactive "P")
  81   (let ((calc-graph-no-auto-view t))
  82     (calc-graph-delete t)
  83     (calc-graph-add-3d many)
  84     (calc-graph-plot nil)))
  85
  86 (defun calc-graph-delete (all)
  87   (interactive "P")
  88   (calc-wrapper
  89    (calc-graph-init)
  90    (save-excursion
  91      (set-buffer calc-gnuplot-input)
  92      (and (calc-graph-find-plot t all)
  93           (progn
  94             (if (looking-at "s?plot")
  95                 (progn
  96                   (setq calc-graph-var-cache nil)
  97                   (delete-region (point) (point-max)))
  98               (delete-region (point) (1- (point-max)))))))
  99    (calc-graph-view-commands)))
 100
 101 (defun calc-graph-find-plot (&optional before all)
 102   (goto-char (point-min))
 103   (and (re-search-forward "^s?plot[ \t]+" nil t)
 104        (let ((beg (point)))
 105          (goto-char (point-max))
 106          (if (or all
 107                  (not (search-backward "," nil t))
 108                  (< (point) beg))
 109              (progn
 110                (goto-char beg)
 111                (if before
 112                    (beginning-of-line)))
 113            (or before
 114                (re-search-forward ",[ \t]+")))
 115          t)))
 116
 117 (defun calc-graph-add (many)
 118   (interactive "P")
 119   (calc-wrapper
 120    (calc-graph-init)
 121    (cond ((null many)
 122           (calc-graph-add-curve (calc-graph-lookup (calc-top-n 2))
 123                                 (calc-graph-lookup (calc-top-n 1))))
 124          ((or (consp many) (eq many 0))
 125           (let ((xdata (calc-graph-lookup (calc-top-n 2)))
 126                 (ylist (calc-top-n 1)))
 127             (or (eq (car-safe ylist) 'vec)
 128                 (error "Y argument must be a vector"))
 129             (while (setq ylist (cdr ylist))
 130               (calc-graph-add-curve xdata (calc-graph-lookup (car ylist))))))
 131          ((> (setq many (prefix-numeric-value many)) 0)
 132           (let ((xdata (calc-graph-lookup (calc-top-n (1+ many)))))
 133             (while (> many 0)
 134               (calc-graph-add-curve xdata
 135                                     (calc-graph-lookup (calc-top-n many)))
 136               (setq many (1- many)))))
 137          (t
 138           (let (pair)
 139             (setq many (- many))
 140             (while (> many 0)
 141               (setq pair (calc-top-n many))
 142               (or (and (eq (car-safe pair) 'vec)
 143                        (= (length pair) 3))
 144                   (error "Argument must be an [x,y] vector"))
 145               (calc-graph-add-curve (calc-graph-lookup (nth 1 pair))
 146                                     (calc-graph-lookup (nth 2 pair)))
 147               (setq many (1- many))))))
 148    (calc-graph-view-commands)))
 149
 150 (defun calc-graph-add-3d (many)
 151   (interactive "P")
 152   (calc-wrapper
 153    (calc-graph-init)
 154    (cond ((null many)
 155           (calc-graph-add-curve (calc-graph-lookup (calc-top-n 3))
 156                                 (calc-graph-lookup (calc-top-n 2))
 157                                 (calc-graph-lookup (calc-top-n 1))))
 158          ((or (consp many) (eq many 0))
 159           (let ((xdata (calc-graph-lookup (calc-top-n 3)))
 160                 (ydata (calc-graph-lookup (calc-top-n 2)))
 161                 (zlist (calc-top-n 1)))
 162             (or (eq (car-safe zlist) 'vec)
 163                 (error "Z argument must be a vector"))
 164             (while (setq zlist (cdr zlist))
 165               (calc-graph-add-curve xdata ydata
 166                                     (calc-graph-lookup (car zlist))))))
 167          ((> (setq many (prefix-numeric-value many)) 0)
 168           (let ((xdata (calc-graph-lookup (calc-top-n (+ many 2))))
 169                 (ydata (calc-graph-lookup (calc-top-n (+ many 1)))))
 170             (while (> many 0)
 171               (calc-graph-add-curve xdata ydata
 172                                     (calc-graph-lookup (calc-top-n many)))
 173               (setq many (1- many)))))
 174          (t
 175           (let (curve)
 176             (setq many (- many))
 177             (while (> many 0)
 178               (setq curve (calc-top-n many))
 179               (or (and (eq (car-safe curve) 'vec)
 180                        (= (length curve) 4))
 181                   (error "Argument must be an [x,y,z] vector"))
 182               (calc-graph-add-curve (calc-graph-lookup (nth 1 curve))
 183                                     (calc-graph-lookup (nth 2 curve))
 184                                     (calc-graph-lookup (nth 3 curve)))
 185               (setq many (1- many))))))
 186    (calc-graph-view-commands)))
 187
 188 (defun calc-graph-add-curve (xdata ydata &optional zdata)
 189   (let ((num (calc-graph-count-curves))
 190         (pstyle (calc-var-value 'var-PointStyles))
 191         (lstyle (calc-var-value 'var-LineStyles)))
 192     (save-excursion
 193       (set-buffer calc-gnuplot-input)
 194       (goto-char (point-min))
 195       (if (re-search-forward (if zdata "^plot[ \t]" "^splot[ \t]")
 196                              nil t)
 197           (error "Can't mix 2d and 3d curves on one graph"))
 198       (if (re-search-forward "^s?plot[ \t]" nil t)
 199           (progn
 200             (end-of-line)
 201             (insert ", "))
 202         (goto-char (point-max))
 203         (or (eq (preceding-char) ?\n)
 204             (insert "\n"))
 205         (insert (if zdata "splot" "plot") " \n")
 206         (forward-char -1))
 207       (insert "{" (symbol-name (nth 1 xdata))
 208               ":" (symbol-name (nth 1 ydata)))
 209       (if zdata
 210           (insert ":" (symbol-name (nth 1 zdata))))
 211       (insert "} "
 212               "title \"" (symbol-name (nth 1 ydata)) "\" "
 213               "with dots")
 214       (setq pstyle (and (eq (car-safe pstyle) 'vec) (nth (1+ num) pstyle)))
 215       (setq lstyle (and (eq (car-safe lstyle) 'vec) (nth (1+ num) lstyle))))
 216     (calc-graph-set-styles
 217      (or (and (Math-num-integerp lstyle) (math-trunc lstyle))
 218          0)
 219      (or (and (Math-num-integerp pstyle) (math-trunc pstyle))
 220          (if (eq (car-safe (calc-var-value (nth 2 ydata))) 'vec)
 221              0 -1))
 222      (math-contains-sdev-p (eval (nth 2 ydata))))))
 223
 224 (defun calc-graph-lookup (thing)
 225   (if (and (eq (car-safe thing) 'var)
 226            (calc-var-value (nth 2 thing)))
 227       thing
 228     (let ((found (assoc thing calc-graph-var-cache)))
 229       (or found
 230           (let ((varname (concat "PlotData"
 231                                  (int-to-string
 232                                   (1+ (length calc-graph-var-cache))))))
 233             (setq var (list 'var (intern varname)
 234                             (intern (concat "var-" varname)))
 235                   found (cons thing var)
 236                   calc-graph-var-cache (cons found calc-graph-var-cache))
 237             (set (nth 2 var) thing)))
 238       (cdr found))))
 239
 240 (defun calc-graph-juggle (arg)
 241   (interactive "p")
 242   (calc-graph-init)
 243   (save-excursion
 244     (set-buffer calc-gnuplot-input)
 245     (if (< arg 0)
 246         (let ((num (calc-graph-count-curves)))
 247           (if (> num 0)
 248               (while (< arg 0)
 249                 (setq arg (+ arg num))))))
 250     (while (>= (setq arg (1- arg)) 0)
 251       (calc-graph-do-juggle))))
 252
 253 (defun calc-graph-count-curves ()
 254   (save-excursion
 255     (set-buffer calc-gnuplot-input)
 256     (if (re-search-forward "^s?plot[ \t]" nil t)
 257         (let ((num 1))
 258           (goto-char (point-min))
 259           (while (search-forward "," nil t)
 260             (setq num (1+ num)))
 261           num)
 262       0)))
 263
 264 (defun calc-graph-do-juggle ()
 265   (let (base)
 266     (and (calc-graph-find-plot t t)
 267          (progn
 268            (setq base (point))
 269            (calc-graph-find-plot t nil)
 270            (or (eq base (point))
 271                (let ((str (buffer-substring (+ (point) 2) (1- (point-max)))))
 272                  (delete-region (point) (1- (point-max)))
 273                  (goto-char (+ base 5))
 274                  (insert str ", ")))))))
 275
 276 (defun calc-graph-print (flag)
 277   (interactive "P")
 278   (calc-graph-plot flag t))
 279
 280 (defvar var-DUMMY)
 281 (defvar var-DUMMY2)
 282 (defvar var-PlotRejects)
 283
 284 ;; The following variables are local to calc-graph-plot, but are
 285 ;; used in the functions calc-graph-compute-2d, calc-graph-refine-2d,
 286 ;; calc-graph-recompute-2d, calc-graph-compute-3d and
 287 ;; calc-graph-format-data, which are called by calc-graph-plot.
 288 (defvar calc-graph-yvalue)
 289 (defvar calc-graph-yvec)
 290 (defvar calc-graph-numsteps)
 291 (defvar calc-graph-numsteps3)
 292 (defvar calc-graph-xvalue)
 293 (defvar calc-graph-xvec)
 294 (defvar calc-graph-xname)
 295 (defvar calc-graph-yname)
 296 (defvar calc-graph-xstep)
 297 (defvar calc-graph-ycache)
 298 (defvar calc-graph-ycacheptr)
 299 (defvar calc-graph-refine)
 300 (defvar calc-graph-keep-file)
 301 (defvar calc-graph-xval)
 302 (defvar calc-graph-xlow)
 303 (defvar calc-graph-xhigh)
 304 (defvar calc-graph-yval)
 305 (defvar calc-graph-yp)
 306 (defvar calc-graph-xp)
 307 (defvar calc-graph-zp)
 308 (defvar calc-graph-yvector)
 309 (defvar calc-graph-resolution)
 310 (defvar calc-graph-y3value)
 311 (defvar calc-graph-y3name)
 312 (defvar calc-graph-y3step)
 313 (defvar calc-graph-zval)
 314 (defvar calc-graph-stepcount)
 315 (defvar calc-graph-is-splot)
 316 (defvar calc-graph-surprise-splot)
 317 (defvar calc-graph-blank)
 318 (defvar calc-graph-non-blank)
 319 (defvar calc-graph-curve-num)
 320
 321 (defun calc-graph-plot (flag &optional printing)
 322   (interactive "P")
 323   (calc-slow-wrapper
 324    (let ((calcbuf (current-buffer))
 325          (tempbuf (get-buffer-create "*Gnuplot Temp-2*"))
 326          (tempbuftop 1)
 327          (tempoutfile nil)
 328          (calc-graph-curve-num 0)
 329          (calc-graph-refine (and flag (> (prefix-numeric-value flag) 0)))
 330          (recompute (and flag (< (prefix-numeric-value flag) 0)))
 331          (calc-graph-surprise-splot nil)
 332          (tty-output nil)
 333          cache-env calc-graph-is-splot device output calc-graph-resolution precision samples-pos)
 334      (add-hook 'kill-emacs-hook 'calc-graph-kill-hook)
 335      (save-excursion
 336        (calc-graph-init)
 337        (set-buffer tempbuf)
 338        (erase-buffer)
 339        (set-buffer calc-gnuplot-input)
 340        (goto-char (point-min))
 341        (setq calc-graph-is-splot (re-search-forward "^splot[ \t]" nil t))
 342        (let ((str (buffer-string))
 343              (ver calc-gnuplot-version))
 344          (set-buffer (get-buffer-create "*Gnuplot Temp*"))
 345          (erase-buffer)
 346          (insert "# (Note: This is a temporary copy---do not edit!)\n")
 347          (if (>= ver 2)
 348              (insert "set noarrow\nset nolabel\n"
 349                      "set autoscale xy\nset nologscale xy\n"
 350                      "set xlabel\nset ylabel\nset title\n"
 351                      "set noclip points\nset clip one\nset clip two\n"
 352                      "set format \"%g\"\nset tics\nset xtics\nset ytics\n"
 353                      "set data style linespoints\n"
 354                      "set nogrid\nset nokey\nset nopolar\n"))
 355          (if (>= ver 3)
 356              (insert "set surface\nset nocontour\n"
 357                      "set " (if calc-graph-is-splot "" "no") "parametric\n"
 358                      "set notime\nset border\nset ztics\nset zeroaxis\n"
 359                      "set view 60,30,1,1\nset offsets 0,0,0,0\n"))
 360          (setq samples-pos (point))
 361          (insert "\n\n" str))
 362        (goto-char (point-min))
 363        (if calc-graph-is-splot
 364            (if calc-graph-refine
 365                (error "This option works only for 2d plots")
 366              (setq recompute t)))
 367        (let ((calc-gnuplot-input (current-buffer))
 368              (calc-graph-no-auto-view t))
 369          (if printing
 370              (setq device calc-gnuplot-print-device
 371                    output calc-gnuplot-print-output)
 372            (setq device (calc-graph-find-command "terminal")
 373                  output (calc-graph-find-command "output"))
 374            (or device
 375                (setq device calc-gnuplot-default-device))
 376            (if output
 377                (setq output (car (read-from-string output)))
 378              (setq output calc-gnuplot-default-output)))
 379          (if (or (equal device "") (equal device "default"))
 380              (setq device (if printing
 381                               "postscript"
 382                             (if (or (eq window-system 'x) (getenv "DISPLAY"))
 383                                 "x11"
 384                               (if (>= calc-gnuplot-version 3)
 385                                   "dumb" "postscript")))))
 386          (if (equal device "dumb")
 387              (setq device (format "dumb %d %d"
 388                                   (1- (frame-width)) (1- (frame-height)))))
 389          (if (equal device "big")
 390              (setq device (format "dumb %d %d"
 391                                   (* 4 (- (frame-width) 3))
 392                                   (* 4 (- (frame-height) 3)))))
 393          (if (stringp output)
 394              (if (or (equal output "auto")
 395                      (and (equal output "tty") (setq tty-output t)))
 396                  (setq tempoutfile (calc-temp-file-name -1)
 397                        output tempoutfile))
 398            (setq output (eval output)))
 399          (or (equal device calc-graph-last-device)
 400              (progn
 401                (setq calc-graph-last-device device)
 402                (calc-gnuplot-command "set terminal" device)))
 403          (or (equal output calc-graph-last-output)
 404              (progn
 405                (setq calc-graph-last-output output)
 406                (calc-gnuplot-command "set output"
 407                                      (if (equal output "STDOUT")
 408                                          ""
 409                                        (prin1-to-string output)))))
 410          (setq calc-graph-resolution (calc-graph-find-command "samples"))
 411          (if calc-graph-resolution
 412              (setq calc-graph-resolution (string-to-number calc-graph-resolution))
 413            (setq calc-graph-resolution (if calc-graph-is-splot
 414                                 calc-graph-default-resolution-3d
 415                               calc-graph-default-resolution)))
 416          (setq precision (calc-graph-find-command "precision"))
 417          (if precision
 418              (setq precision (string-to-number precision))
 419            (setq precision calc-graph-default-precision))
 420          (calc-graph-set-command "terminal")
 421          (calc-graph-set-command "output")
 422          (calc-graph-set-command "samples")
 423          (calc-graph-set-command "precision"))
 424        (goto-char samples-pos)
 425        (insert "set samples " (int-to-string (max (if calc-graph-is-splot 20 200)
 426                                                   (+ 5 calc-graph-resolution))) "\n")
 427        (while (re-search-forward "{\\*[^}]+}[^,\n]*" nil t)
 428          (delete-region (match-beginning 0) (match-end 0))
 429          (if (looking-at ",")
 430              (delete-char 1)
 431            (while (memq (preceding-char) '(?\s ?\t))
 432              (forward-char -1))
 433            (if (eq (preceding-char) ?\,)
 434                (delete-backward-char 1))))
 435        (save-excursion
 436          (set-buffer calcbuf)
 437          (setq cache-env (list calc-angle-mode
 438                                calc-complex-mode
 439                                calc-simplify-mode
 440                                calc-infinite-mode
 441                                calc-word-size
 442                                precision calc-graph-is-splot))
 443          (if (and (not recompute)
 444                   (equal (cdr (car calc-graph-data-cache)) cache-env))
 445              (while (> (length calc-graph-data-cache)
 446                        calc-graph-data-cache-limit)
 447                (setcdr calc-graph-data-cache
 448                        (cdr (cdr calc-graph-data-cache))))
 449            (setq calc-graph-data-cache (list (cons nil cache-env)))))
 450        (calc-graph-find-plot t t)
 451        (while (re-search-forward
 452                (if calc-graph-is-splot
 453                    "{\\([^{}:\n]+\\):\\([^{}:\n]+\\):\\([^{}:\n]+\\)}"
 454                  "{\\([^{}:\n]+\\)\\(:\\)\\([^{}:\n]+\\)}")
 455                nil t)
 456          (setq calc-graph-curve-num (1+ calc-graph-curve-num))
 457          (let* ((calc-graph-xname (buffer-substring (match-beginning 1) (match-end 1)))
 458                 (xvar (intern (concat "var-" calc-graph-xname)))
 459                 (calc-graph-xvalue (math-evaluate-expr (calc-var-value xvar)))
 460                 (calc-graph-y3name (and calc-graph-is-splot
 461                              (buffer-substring (match-beginning 2)
 462                                                (match-end 2))))
 463                 (y3var (and calc-graph-is-splot (intern (concat "var-" calc-graph-y3name))))
 464                 (calc-graph-y3value (and calc-graph-is-splot (calc-var-value y3var)))
 465                 (calc-graph-yname (buffer-substring (match-beginning 3) (match-end 3)))
 466                 (yvar (intern (concat "var-" calc-graph-yname)))
 467                 (calc-graph-yvalue (calc-var-value yvar))
 468                 filename)
 469            (delete-region (match-beginning 0) (match-end 0))
 470            (setq filename (calc-temp-file-name calc-graph-curve-num))
 471            (save-excursion
 472              (set-buffer calcbuf)
 473              (let (tempbuftop
 474                    (calc-graph-xp calc-graph-xvalue)
 475                    (calc-graph-yp calc-graph-yvalue)
 476                    (calc-graph-zp nil)
 477                    (calc-graph-xlow nil) (calc-graph-xhigh nil) (y3low nil) (y3high nil)
 478                    calc-graph-xvec calc-graph-xval calc-graph-xstep var-DUMMY
 479                    y3val calc-graph-y3step var-DUMMY2 (calc-graph-zval nil)
 480                    calc-graph-yvec calc-graph-yval calc-graph-ycache calc-graph-ycacheptr calc-graph-yvector
 481                    calc-graph-numsteps calc-graph-numsteps3
 482                    (calc-graph-keep-file (and (not calc-graph-is-splot) (file-exists-p filename)))
 483                    (calc-graph-stepcount 0)
 484                    (calc-symbolic-mode nil)
 485                    (calc-prefer-frac nil)
 486                    (calc-internal-prec (max 3 precision))
 487                    (calc-simplify-mode (and (not (memq calc-simplify-mode
 488                                                        '(none num)))
 489                                             calc-simplify-mode))
 490                    (calc-graph-blank t)
 491                    (calc-graph-non-blank nil)
 492                    (math-working-step 0)
 493                    (math-working-step-2 nil))
 494                (save-excursion
 495                  (if calc-graph-is-splot
 496                      (calc-graph-compute-3d)
 497                    (calc-graph-compute-2d))
 498                  (set-buffer tempbuf)
 499                  (goto-char (point-max))
 500                  (insert "\n" calc-graph-xname)
 501                  (if calc-graph-is-splot
 502                      (insert ":" calc-graph-y3name))
 503                  (insert ":" calc-graph-yname "\n\n")
 504                  (setq tempbuftop (point))
 505                  (let ((calc-group-digits nil)
 506                        (calc-leading-zeros nil)
 507                        (calc-number-radix 10)
 508                        (entry (and (not calc-graph-is-splot)
 509                                    (list calc-graph-xp calc-graph-yp calc-graph-xhigh calc-graph-numsteps))))
 510                    (or (equal entry
 511                               (nth 1 (nth (1+ calc-graph-curve-num)
 512                                           calc-graph-file-cache)))
 513                        (setq calc-graph-keep-file nil))
 514                    (setcar (cdr (nth (1+ calc-graph-curve-num) calc-graph-file-cache))
 515                            entry)
 516                    (or calc-graph-keep-file
 517                        (calc-graph-format-data)))
 518                  (or calc-graph-keep-file
 519                      (progn
 520                        (or calc-graph-non-blank
 521                            (error "No valid data points for %s:%s"
 522                                   calc-graph-xname calc-graph-yname))
 523                        (write-region tempbuftop (point-max) filename
 524                                      nil 'quiet))))))
 525            (insert (prin1-to-string filename))))
 526        (if calc-graph-surprise-splot
 527            (setcdr cache-env nil))
 528        (if (= calc-graph-curve-num 0)
 529            (progn
 530              (calc-gnuplot-command "clear")
 531              (calc-clear-command-flag 'clear-message)
 532              (message "No data to plot!"))
 533          (setq calc-graph-data-cache-limit (max calc-graph-curve-num
 534                                                 calc-graph-data-cache-limit)
 535                filename (calc-temp-file-name 0))
 536          (write-region (point-min) (point-max) filename nil 'quiet)
 537          (calc-gnuplot-command "load" (prin1-to-string filename))
 538          (or (equal output "STDOUT")
 539              calc-gnuplot-keep-outfile
 540              (progn   ; need to close the output file before printing/plotting
 541                (setq calc-graph-last-output "STDOUT")
 542                (calc-gnuplot-command "set output")))
 543          (let ((command (if printing
 544                             calc-gnuplot-print-command
 545                           (or calc-gnuplot-plot-command
 546                               (and (string-match "^dumb" device)
 547                                    'calc-graph-show-dumb)
 548                               (and tty-output
 549                                    'calc-graph-show-tty)))))
 550            (if command
 551                (if (stringp command)
 552                    (calc-gnuplot-command
 553                     "!" (format command
 554                                 (or tempoutfile
 555                                     calc-gnuplot-print-output)))
 556                  (if (symbolp command)
 557                      (funcall command output)
 558                    (eval command))))))))))
 559
 560 (defun calc-graph-compute-2d ()
 561   (if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
 562       (if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
 563           (error "Can't plot an empty vector")
 564         (if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
 565             (or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
 566                 (error "%s and %s have different lengths" calc-graph-xname calc-graph-yname))
 567           (if (and (eq (car-safe calc-graph-xvalue) 'intv)
 568                    (math-constp calc-graph-xvalue))
 569               (setq calc-graph-xstep (math-div (math-sub (nth 3 calc-graph-xvalue)
 570                                               (nth 2 calc-graph-xvalue))
 571                                     (1- calc-graph-numsteps))
 572                     calc-graph-xvalue (nth 2 calc-graph-xvalue))
 573             (if (math-realp calc-graph-xvalue)
 574                 (setq calc-graph-xstep 1)
 575               (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname)))))
 576     (or (math-realp calc-graph-yvalue)
 577         (let ((arglist nil))
 578           (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
 579           (calc-default-formula-arglist calc-graph-yvalue)
 580           (or arglist
 581               (error "%s does not contain any unassigned variables" calc-graph-yname))
 582           (and (cdr arglist)
 583                (error "%s contains more than one variable: %s"
 584                       calc-graph-yname arglist))
 585           (setq calc-graph-yvalue (math-expr-subst calc-graph-yvalue
 586                                         (math-build-var-name (car arglist))
 587                                         '(var DUMMY var-DUMMY)))))
 588     (setq calc-graph-ycache (assoc calc-graph-yvalue calc-graph-data-cache))
 589     (delq calc-graph-ycache calc-graph-data-cache)
 590     (nconc calc-graph-data-cache
 591            (list (or calc-graph-ycache (setq calc-graph-ycache (list calc-graph-yvalue)))))
 592     (if (and (not (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec)))
 593              calc-graph-refine (cdr (cdr calc-graph-ycache)))
 594         (calc-graph-refine-2d)
 595       (calc-graph-recompute-2d))))
 596
 597 (defun calc-graph-refine-2d ()
 598   (setq calc-graph-keep-file nil
 599         calc-graph-ycacheptr (cdr calc-graph-ycache))
 600   (if (and (setq calc-graph-xval (calc-graph-find-command "xrange"))
 601            (string-match "\\`\\[\\([0-9.eE+-]*\\):\\([0-9.eE+-]*\\)\\]\\'"
 602                          calc-graph-xval))
 603       (let ((b2 (match-beginning 2))
 604             (e2 (match-end 2)))
 605         (setq calc-graph-xlow (math-read-number (substring calc-graph-xval
 606                                                 (match-beginning 1)
 607                                                 (match-end 1)))
 608               calc-graph-xhigh (math-read-number (substring calc-graph-xval b2 e2))))
 609     (if calc-graph-xlow
 610         (while (and (cdr calc-graph-ycacheptr)
 611                     (Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xlow))
 612           (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))))
 613   (setq math-working-step-2 (1- (length calc-graph-ycacheptr)))
 614   (while (and (cdr calc-graph-ycacheptr)
 615               (or (not calc-graph-xhigh)
 616                   (Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xhigh)))
 617     (setq var-DUMMY (math-div (math-add (car (car calc-graph-ycacheptr))
 618                                         (car (nth 1 calc-graph-ycacheptr)))
 619                               2)
 620           math-working-step (1+ math-working-step)
 621           calc-graph-yval (math-evaluate-expr calc-graph-yvalue))
 622     (setcdr calc-graph-ycacheptr (cons (cons var-DUMMY calc-graph-yval)
 623                             (cdr calc-graph-ycacheptr)))
 624     (setq calc-graph-ycacheptr (cdr (cdr calc-graph-ycacheptr))))
 625   (setq calc-graph-yp calc-graph-ycache
 626         calc-graph-numsteps 1000000))
 627
 628 (defun calc-graph-recompute-2d ()
 629   (setq calc-graph-ycacheptr calc-graph-ycache)
 630   (if calc-graph-xvec
 631       (setq calc-graph-numsteps (1- (length calc-graph-xvalue))
 632             calc-graph-yvector nil)
 633     (if (and (eq (car-safe calc-graph-xvalue) 'intv)
 634              (math-constp calc-graph-xvalue))
 635         (setq calc-graph-numsteps calc-graph-resolution
 636               calc-graph-yp nil
 637               calc-graph-xlow (nth 2 calc-graph-xvalue)
 638               calc-graph-xhigh (nth 3 calc-graph-xvalue)
 639               calc-graph-xstep (math-div (math-sub calc-graph-xhigh calc-graph-xlow)
 640                               (1- calc-graph-numsteps))
 641               calc-graph-xvalue (nth 2 calc-graph-xvalue))
 642       (error "%s is not a suitable basis for %s"
 643              calc-graph-xname calc-graph-yname)))
 644   (setq math-working-step-2 calc-graph-numsteps)
 645   (while (>= (setq calc-graph-numsteps (1- calc-graph-numsteps)) 0)
 646     (setq math-working-step (1+ math-working-step))
 647     (if calc-graph-xvec
 648         (progn
 649           (setq calc-graph-xp (cdr calc-graph-xp)
 650                 calc-graph-xval (car calc-graph-xp))
 651           (and (not (eq calc-graph-ycacheptr calc-graph-ycache))
 652                (consp (car calc-graph-ycacheptr))
 653                (not (Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xval))
 654                (setq calc-graph-ycacheptr calc-graph-ycache)))
 655       (if (= calc-graph-numsteps 0)
 656           (setq calc-graph-xval calc-graph-xhigh)   ; avoid cumulative roundoff
 657         (setq calc-graph-xval calc-graph-xvalue
 658               calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep))))
 659     (while (and (cdr calc-graph-ycacheptr)
 660                 (Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
 661       (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))
 662     (or (and (cdr calc-graph-ycacheptr)
 663              (Math-equal (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
 664         (progn
 665           (setq calc-graph-keep-file nil
 666                 var-DUMMY calc-graph-xval)
 667           (setcdr calc-graph-ycacheptr (cons (cons calc-graph-xval (math-evaluate-expr calc-graph-yvalue))
 668                                   (cdr calc-graph-ycacheptr)))))
 669     (setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr))
 670     (if calc-graph-xvec
 671         (setq calc-graph-yvector (cons (cdr (car calc-graph-ycacheptr)) calc-graph-yvector))
 672       (or calc-graph-yp (setq calc-graph-yp calc-graph-ycacheptr))))
 673   (if calc-graph-xvec
 674       (setq calc-graph-xp calc-graph-xvalue
 675             calc-graph-yvec t
 676             calc-graph-yp (cons 'vec (nreverse calc-graph-yvector))
 677             calc-graph-numsteps (1- (length calc-graph-xp)))
 678     (setq calc-graph-numsteps 1000000)))
 679
 680 (defun calc-graph-compute-3d ()
 681   (if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
 682       (if (math-matrixp calc-graph-yvalue)
 683           (progn
 684             (setq calc-graph-numsteps (1- (length calc-graph-yvalue))
 685                   calc-graph-numsteps3 (1- (length (nth 1 calc-graph-yvalue))))
 686             (if (eq (car-safe calc-graph-xvalue) 'vec)
 687                 (or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
 688                     (error "%s has wrong length" calc-graph-xname))
 689               (if (and (eq (car-safe calc-graph-xvalue) 'intv)
 690                        (math-constp calc-graph-xvalue))
 691                   (setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps
 692                                                (nth 2 calc-graph-xvalue)
 693                                                (math-div
 694                                                 (math-sub (nth 3 calc-graph-xvalue)
 695                                                           (nth 2 calc-graph-xvalue))
 696                                                 (1- calc-graph-numsteps))))
 697                 (if (math-realp calc-graph-xvalue)
 698                     (setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps calc-graph-xvalue 1))
 699                   (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))))
 700             (if (eq (car-safe calc-graph-y3value) 'vec)
 701                 (or (= (1- (length calc-graph-y3value)) calc-graph-numsteps3)
 702                     (error "%s has wrong length" calc-graph-y3name))
 703               (if (and (eq (car-safe calc-graph-y3value) 'intv)
 704                        (math-constp calc-graph-y3value))
 705                   (setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3
 706                                                 (nth 2 calc-graph-y3value)
 707                                                 (math-div
 708                                                  (math-sub (nth 3 calc-graph-y3value)
 709                                                            (nth 2 calc-graph-y3value))
 710                                                  (1- calc-graph-numsteps3))))
 711                 (if (math-realp calc-graph-y3value)
 712                     (setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3 calc-graph-y3value 1))
 713                   (error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))))
 714             (setq calc-graph-xp nil
 715                   calc-graph-yp nil
 716                   calc-graph-zp nil
 717                   calc-graph-xvec t)
 718             (while (setq calc-graph-xvalue (cdr calc-graph-xvalue) calc-graph-yvalue (cdr calc-graph-yvalue))
 719               (setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
 720                     calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
 721                     calc-graph-zp (nconc calc-graph-zp (cons '(skip)
 722                                        (copy-sequence (cdr (car calc-graph-yvalue)))))))
 723             (setq calc-graph-numsteps (1- (* calc-graph-numsteps
 724                                              (1+ calc-graph-numsteps3)))))
 725         (if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
 726             (error "Can't plot an empty vector"))
 727         (or (and (eq (car-safe calc-graph-xvalue) 'vec)
 728                  (= (1- (length calc-graph-xvalue)) calc-graph-numsteps))
 729             (error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))
 730         (or (and (eq (car-safe calc-graph-y3value) 'vec)
 731                  (= (1- (length calc-graph-y3value)) calc-graph-numsteps))
 732             (error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))
 733         (setq calc-graph-xp calc-graph-xvalue
 734               calc-graph-yp calc-graph-y3value
 735               calc-graph-zp calc-graph-yvalue
 736               calc-graph-xvec t))
 737     (or (math-realp calc-graph-yvalue)
 738         (let ((arglist nil))
 739           (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
 740           (calc-default-formula-arglist calc-graph-yvalue)
 741           (setq arglist (sort arglist 'string-lessp))
 742           (or (cdr arglist)
 743               (error "%s does not contain enough unassigned variables" calc-graph-yname))
 744           (and (cdr (cdr arglist))
 745                (error "%s contains too many variables: %s" calc-graph-yname arglist))
 746           (setq calc-graph-yvalue (math-multi-subst calc-graph-yvalue
 747                                          (mapcar 'math-build-var-name
 748                                                  arglist)
 749                                          '((var DUMMY var-DUMMY)
 750                                            (var DUMMY2 var-DUMMY2))))))
 751     (if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
 752         (setq calc-graph-numsteps (1- (length calc-graph-xvalue)))
 753       (if (and (eq (car-safe calc-graph-xvalue) 'intv)
 754                (math-constp calc-graph-xvalue))
 755           (setq calc-graph-numsteps calc-graph-resolution
 756                 calc-graph-xvalue (calcFunc-index calc-graph-numsteps
 757                                        (nth 2 calc-graph-xvalue)
 758                                        (math-div (math-sub (nth 3 calc-graph-xvalue)
 759                                                            (nth 2 calc-graph-xvalue))
 760                                                  (1- calc-graph-numsteps))))
 761         (error "%s is not a suitable basis for %s"
 762                calc-graph-xname calc-graph-yname)))
 763     (if (eq (car-safe calc-graph-y3value) 'vec)
 764         (setq calc-graph-numsteps3 (1- (length calc-graph-y3value)))
 765       (if (and (eq (car-safe calc-graph-y3value) 'intv)
 766                (math-constp calc-graph-y3value))
 767           (setq calc-graph-numsteps3 calc-graph-resolution
 768                 calc-graph-y3value (calcFunc-index calc-graph-numsteps3
 769                                         (nth 2 calc-graph-y3value)
 770                                         (math-div (math-sub (nth 3 calc-graph-y3value)
 771                                                             (nth 2 calc-graph-y3value))
 772                                                   (1- calc-graph-numsteps3))))
 773         (error "%s is not a suitable basis for %s"
 774                calc-graph-y3name calc-graph-yname)))
 775     (setq calc-graph-xp nil
 776           calc-graph-yp nil
 777           calc-graph-zp nil
 778           calc-graph-xvec t)
 779     (setq math-working-step 0)
 780     (while (setq calc-graph-xvalue (cdr calc-graph-xvalue))
 781       (setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
 782             calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
 783             calc-graph-zp (cons '(skip) calc-graph-zp)
 784             calc-graph-y3step calc-graph-y3value
 785             var-DUMMY (car calc-graph-xvalue)
 786             math-working-step-2 0
 787             math-working-step (1+ math-working-step))
 788       (while (setq calc-graph-y3step (cdr calc-graph-y3step))
 789         (setq math-working-step-2 (1+ math-working-step-2)
 790               var-DUMMY2 (car calc-graph-y3step)
 791               calc-graph-zp (cons (math-evaluate-expr calc-graph-yvalue) calc-graph-zp))))
 792     (setq calc-graph-zp (nreverse calc-graph-zp)
 793           calc-graph-numsteps (1- (* calc-graph-numsteps (1+ calc-graph-numsteps3))))))
 794
 795 (defun calc-graph-format-data ()
 796   (if (math-contains-sdev-p calc-graph-yp)
 797       (let ((yp calc-graph-yp))
 798         (setq calc-graph-yp (cons 'vec (mapcar 'math-get-value (cdr yp))))
 799         (setq calc-graph-zp (cons 'vec (mapcar 'math-get-sdev (cdr yp))))))
 800   (while (<= (setq calc-graph-stepcount (1+ calc-graph-stepcount)) calc-graph-numsteps)
 801     (if calc-graph-xvec
 802         (setq calc-graph-xp (cdr calc-graph-xp)
 803               calc-graph-xval (car calc-graph-xp)
 804               calc-graph-yp (cdr calc-graph-yp)
 805               calc-graph-yval (car calc-graph-yp)
 806               calc-graph-zp (cdr calc-graph-zp)
 807               calc-graph-zval (car calc-graph-zp))
 808       (if calc-graph-yvec
 809           (setq calc-graph-xval calc-graph-xvalue
 810                 calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep)
 811                 calc-graph-yp (cdr calc-graph-yp)
 812                 calc-graph-yval (car calc-graph-yp))
 813         (setq calc-graph-xval (car (car calc-graph-yp))
 814               calc-graph-yval (cdr (car calc-graph-yp))
 815               calc-graph-yp (cdr calc-graph-yp))
 816         (if (or (not calc-graph-yp)
 817                 (and calc-graph-xhigh (equal calc-graph-xval calc-graph-xhigh)))
 818             (setq calc-graph-numsteps 0))))
 819     (if calc-graph-is-splot
 820         (if (and (eq (car-safe calc-graph-zval) 'calcFunc-xyz)
 821                  (= (length calc-graph-zval) 4))
 822             (setq calc-graph-xval (nth 1 calc-graph-zval)
 823                   calc-graph-yval (nth 2 calc-graph-zval)
 824                   calc-graph-zval (nth 3 calc-graph-zval)))
 825       (if (and (eq (car-safe calc-graph-yval) 'calcFunc-xyz)
 826                (= (length calc-graph-yval) 4))
 827           (progn
 828             (or calc-graph-surprise-splot
 829                 (save-excursion
 830                   (set-buffer (get-buffer-create "*Gnuplot Temp*"))
 831                   (save-excursion
 832                     (goto-char (point-max))
 833                     (re-search-backward "^plot[ \t]")
 834                     (insert "set parametric\ns")
 835                     (setq calc-graph-surprise-splot t))))
 836             (setq calc-graph-xval (nth 1 calc-graph-yval)
 837                   calc-graph-zval (nth 3 calc-graph-yval)
 838                   calc-graph-yval (nth 2 calc-graph-yval)))
 839         (if (and (eq (car-safe calc-graph-yval) 'calcFunc-xy)
 840                  (= (length calc-graph-yval) 3))
 841             (setq calc-graph-xval (nth 1 calc-graph-yval)
 842                   calc-graph-yval (nth 2 calc-graph-yval)))))
 843     (if (and (Math-realp calc-graph-xval)
 844              (Math-realp calc-graph-yval)
 845              (or (not calc-graph-zval) (Math-realp calc-graph-zval)))
 846         (progn
 847           (setq calc-graph-blank nil
 848                 calc-graph-non-blank t)
 849           (if (Math-integerp calc-graph-xval)
 850               (insert (math-format-number calc-graph-xval))
 851             (if (eq (car calc-graph-xval) 'frac)
 852                 (setq calc-graph-xval (math-float calc-graph-xval)))
 853             (insert (math-format-number (nth 1 calc-graph-xval))
 854                     "e" (int-to-string (nth 2 calc-graph-xval))))
 855           (insert " ")
 856           (if (Math-integerp calc-graph-yval)
 857               (insert (math-format-number calc-graph-yval))
 858             (if (eq (car calc-graph-yval) 'frac)
 859                 (setq calc-graph-yval (math-float calc-graph-yval)))
 860             (insert (math-format-number (nth 1 calc-graph-yval))
 861                     "e" (int-to-string (nth 2 calc-graph-yval))))
 862           (if calc-graph-zval
 863               (progn
 864                 (insert " ")
 865                 (if (Math-integerp calc-graph-zval)
 866                     (insert (math-format-number calc-graph-zval))
 867                   (if (eq (car calc-graph-zval) 'frac)
 868                       (setq calc-graph-zval (math-float calc-graph-zval)))
 869                   (insert (math-format-number (nth 1 calc-graph-zval))
 870                           "e" (int-to-string (nth 2 calc-graph-zval))))))
 871           (insert "\n"))
 872       (and (not (equal calc-graph-zval '(skip)))
 873            (boundp 'var-PlotRejects)
 874            (eq (car-safe var-PlotRejects) 'vec)
 875            (nconc var-PlotRejects
 876                   (list (list 'vec
 877                               calc-graph-curve-num
 878                               calc-graph-stepcount
 879                               calc-graph-xval calc-graph-yval)))
 880            (calc-refresh-evaltos 'var-PlotRejects))
 881       (or calc-graph-blank
 882           (progn
 883             (insert "\n")
 884             (setq calc-graph-blank t))))))
 885
 886 (defun calc-temp-file-name (num)
 887   (while (<= (length calc-graph-file-cache) (1+ num))
 888     (setq calc-graph-file-cache (nconc calc-graph-file-cache (list nil))))
 889   (car (or (nth (1+ num) calc-graph-file-cache)
 890            (setcar (nthcdr (1+ num) calc-graph-file-cache)
 891                    (list (make-temp-file
 892                           (concat calc-gnuplot-tempfile
 893                                   (if (<= num 0)
 894                                       (char-to-string (- ?A num))
 895                                     (int-to-string num))))
 896                          nil)))))
 897
 898 (defun calc-graph-delete-temps ()
 899   (while calc-graph-file-cache
 900     (and (car calc-graph-file-cache)
 901          (file-exists-p (car (car calc-graph-file-cache)))
 902          (condition-case err
 903              (delete-file (car (car calc-graph-file-cache)))
 904            (error nil)))
 905     (setq calc-graph-file-cache (cdr calc-graph-file-cache))))
 906
 907 (defun calc-graph-kill-hook ()
 908   (calc-graph-delete-temps))
 909
 910 (defun calc-graph-show-tty (output)
 911   "Default calc-gnuplot-plot-command for \"tty\" output mode.
 912 This is useful for tek40xx and other graphics-terminal types."
 913   (call-process-region 1 1 shell-file-name
 914                        nil calc-gnuplot-buffer nil
 915                        "-c" (format "cat %s >/dev/tty; rm %s" output output)))
 916
 917 (defvar calc-dumb-map nil
 918   "The keymap for the \"dumb\" terminal plot.")
 919
 920 (defun calc-graph-show-dumb (&optional output)
 921   "Default calc-gnuplot-plot-command for Pinard's \"dumb\" terminal type.
 922 This \"dumb\" driver will be present in Gnuplot 3.0."
 923   (interactive)
 924   (save-window-excursion
 925     (switch-to-buffer calc-gnuplot-buffer)
 926     (delete-other-windows)
 927     (goto-char calc-gnuplot-trail-mark)
 928     (or (search-forward "\f" nil t)
 929         (sleep-for 1))
 930     (goto-char (point-max))
 931     (re-search-backward "\f\\|^[ \t]+\\^$\\|G N U P L O T")
 932     (if (looking-at "\f")
 933         (progn
 934           (forward-char 1)
 935           (if (eolp) (forward-line 1))
 936           (or (calc-graph-find-command "time")
 937               (calc-graph-find-command "title")
 938               (calc-graph-find-command "ylabel")
 939               (let ((pt (point)))
 940                 (insert-before-markers (format "(%s)" (current-time-string)))
 941                 (goto-char pt)))
 942           (set-window-start (selected-window) (point))
 943           (goto-char (point-max)))
 944       (end-of-line)
 945       (backward-char 1)
 946       (recenter '(4)))
 947     (or calc-dumb-map
 948         (progn
 949           (setq calc-dumb-map (make-sparse-keymap))
 950           (define-key calc-dumb-map "\n" 'scroll-up)
 951           (define-key calc-dumb-map " " 'scroll-up)
 952           (define-key calc-dumb-map "\177" 'scroll-down)
 953           (define-key calc-dumb-map "<" 'scroll-left)
 954           (define-key calc-dumb-map ">" 'scroll-right)
 955           (define-key calc-dumb-map "{" 'scroll-down)
 956           (define-key calc-dumb-map "}" 'scroll-up)
 957           (define-key calc-dumb-map "q" 'exit-recursive-edit)
 958           (define-key calc-dumb-map "\C-c\C-c" 'exit-recursive-edit)))
 959     (use-local-map calc-dumb-map)
 960     (setq truncate-lines t)
 961     (message "Type `q' or `C-c C-c' to return to Calc")
 962     (recursive-edit)
 963     (bury-buffer "*Gnuplot Trail*")))
 964
 965 (defun calc-graph-clear ()
 966   (interactive)
 967   (if calc-graph-last-device
 968       (if (or (equal calc-graph-last-device "x11")
 969               (equal calc-graph-last-device "X11"))
 970           (calc-gnuplot-command "set output"
 971                                 (if (equal calc-graph-last-output "STDOUT")
 972                                     ""
 973                                   (prin1-to-string calc-graph-last-output)))
 974         (calc-gnuplot-command "clear"))))
 975
 976 (defun calc-graph-title-x (title)
 977   (interactive "sX axis title: ")
 978   (calc-graph-set-command "xlabel" (if (not (equal title ""))
 979                                        (prin1-to-string title))))
 980
 981 (defun calc-graph-title-y (title)
 982   (interactive "sY axis title: ")
 983   (calc-graph-set-command "ylabel" (if (not (equal title ""))
 984                                        (prin1-to-string title))))
 985
 986 (defun calc-graph-title-z (title)
 987   (interactive "sZ axis title: ")
 988   (calc-graph-set-command "zlabel" (if (not (equal title ""))
 989                                        (prin1-to-string title))))
 990
 991 (defun calc-graph-range-x (range)
 992   (interactive "sX axis range: ")
 993   (calc-graph-set-range "xrange" range))
 994
 995 (defun calc-graph-range-y (range)
 996   (interactive "sY axis range: ")
 997   (calc-graph-set-range "yrange" range))
 998
 999 (defun calc-graph-range-z (range)
1000   (interactive "sZ axis range: ")
1001   (calc-graph-set-range "zrange" range))
1002
1003 (defun calc-graph-set-range (cmd range)
1004   (if (equal range "$")
1005       (calc-wrapper
1006        (let ((val (calc-top-n 1)))
1007          (if (and (eq (car-safe val) 'intv) (math-constp val))
1008              (setq range (concat
1009                           (math-format-number (math-float (nth 2 val))) ":"
1010                           (math-format-number (math-float (nth 3 val)))))
1011            (if (and (eq (car-safe val) 'vec)
1012                     (= (length val) 3))
1013                (setq range (concat
1014                             (math-format-number (math-float (nth 1 val))) ":"
1015                             (math-format-number (math-float (nth 2 val)))))
1016              (error "Range specification must be an interval or 2-vector")))
1017          (calc-pop-stack 1))))
1018   (if (string-match "\\[.+\\]" range)
1019       (setq range (substring range 1 -1)))
1020   (if (and (not (string-match ":" range))
1021            (or (string-match "," range)
1022                (string-match " " range)))
1023       (aset range (match-beginning 0) ?\:))
1024   (calc-graph-set-command cmd (if (not (equal range ""))
1025                                   (concat "[" range "]"))))
1026
1027 (defun calc-graph-log-x (flag)
1028   (interactive "P")
1029   (calc-graph-set-log flag 0 0))
1030
1031 (defun calc-graph-log-y (flag)
1032   (interactive "P")
1033   (calc-graph-set-log 0 flag 0))
1034
1035 (defun calc-graph-log-z (flag)
1036   (interactive "P")
1037   (calc-graph-set-log 0 0 flag))
1038
1039 (defun calc-graph-set-log (xflag yflag zflag)
1040   (let* ((old (or (calc-graph-find-command "logscale") ""))
1041          (xold (string-match "x" old))
1042          (yold (string-match "y" old))
1043          (zold (string-match "z" old))
1044          str)
1045     (setq str (concat (if (if xflag
1046                               (if (eq xflag 0) xold
1047                                 (> (prefix-numeric-value xflag) 0))
1048                             (not xold)) "x" "")
1049                       (if (if yflag
1050                               (if (eq yflag 0) yold
1051                                 (> (prefix-numeric-value yflag) 0))
1052                             (not yold)) "y" "")
1053                       (if (if zflag
1054                               (if (eq zflag 0) zold
1055                                 (> (prefix-numeric-value zflag) 0))
1056                             (not zold)) "z" "")))
1057     (calc-graph-set-command "logscale" (if (not (equal str "")) str))))
1058
1059 (defun calc-graph-line-style (style)
1060   (interactive "P")
1061   (calc-graph-set-styles (and style (prefix-numeric-value style)) t))
1062
1063 (defun calc-graph-point-style (style)
1064   (interactive "P")
1065   (calc-graph-set-styles t (and style (prefix-numeric-value style))))
1066
1067 (defun calc-graph-set-styles (lines points &optional yerr)
1068   (calc-graph-init)
1069   (save-excursion
1070     (set-buffer calc-gnuplot-input)
1071     (or (calc-graph-find-plot nil nil)
1072         (error "No data points have been set!"))
1073     (let ((base (point))
1074           (mode nil) (lstyle nil) (pstyle nil)
1075           start end lenbl penbl errform)
1076       (re-search-forward "[,\n]")
1077       (forward-char -1)
1078       (setq end (point) start end)
1079       (goto-char base)
1080       (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+with\\)")
1081           (progn
1082             (setq start (match-beginning 1))
1083             (goto-char (match-end 0))
1084             (if (looking-at "[ \t]+\\([a-z]+\\)")
1085                 (setq mode (buffer-substring (match-beginning 1)
1086                                              (match-end 1))))
1087             (if (looking-at "[ \ta-z]+\\([0-9]+\\)")
1088                 (setq lstyle (string-to-number
1089                               (buffer-substring (match-beginning 1)
1090                                                 (match-end 1)))))
1091             (if (looking-at "[ \ta-z]+[0-9]+[ \t]+\\([0-9]+\\)")
1092                 (setq pstyle (string-to-number
1093                               (buffer-substring (match-beginning 1)
1094                                                 (match-end 1)))))))
1095       (unless yerr
1096         (setq lenbl (or (equal mode "lines")
1097                         (equal mode "linespoints"))
1098               penbl (or (equal mode "points")
1099                         (equal mode "linespoints")))
1100         (if lines
1101             (or (eq lines t)
1102                 (setq lstyle lines
1103                       lenbl (>= lines 0)))
1104           (setq lenbl (not lenbl)))
1105         (if points
1106             (or (eq points t)
1107                 (setq pstyle points
1108                       penbl (>= points 0)))
1109           (setq penbl (not penbl))))
1110         (delete-region start end)
1111       (goto-char start)
1112       (setq errform
1113             (condition-case nil
1114                 (math-contains-sdev-p
1115                  (eval (intern
1116                         (concat "var-"
1117                                 (save-excursion
1118                                   (re-search-backward ":\\(.*\\)\\}")
1119                                   (match-string 1))))))
1120               (error nil)))
1121       (if yerr
1122           (insert " with yerrorbars")
1123         (insert " with "
1124                 (if (and errform
1125                          (equal mode "dots")
1126                          (eq lines t))
1127                     "yerrorbars"
1128                   (if lenbl
1129                       (if penbl "linespoints" "lines")
1130                     (if penbl "points" "dots"))))
1131         (if (and pstyle (> pstyle 0))
1132             (insert " "
1133                     (if (and lstyle (> lstyle 0)) (int-to-string lstyle) "1")
1134                     " " (int-to-string pstyle))
1135           (if (and lstyle (> lstyle 0))
1136               (insert " " (int-to-string lstyle)))))))
1137   (calc-graph-view-commands))
1138
1139 (defun calc-graph-zero-x (flag)
1140   (interactive "P")
1141   (calc-graph-set-command "noxzeroaxis"
1142                           (and (if flag
1143                                    (<= (prefix-numeric-value flag) 0)
1144                                  (not (calc-graph-find-command "noxzeroaxis")))
1145                                " ")))
1146
1147 (defun calc-graph-zero-y (flag)
1148   (interactive "P")
1149   (calc-graph-set-command "noyzeroaxis"
1150                           (and (if flag
1151                                    (<= (prefix-numeric-value flag) 0)
1152                                  (not (calc-graph-find-command "noyzeroaxis")))
1153                                " ")))
1154
1155 (defun calc-graph-name (name)
1156   (interactive "sTitle for current curve: ")
1157   (calc-graph-init)
1158   (save-excursion
1159     (set-buffer calc-gnuplot-input)
1160     (or (calc-graph-find-plot nil nil)
1161         (error "No data points have been set!"))
1162     (let ((base (point))
1163           start
1164           end)
1165       (re-search-forward "[,\n]\\|[ \t]+with")
1166       (setq end (match-beginning 0))
1167       (goto-char base)
1168       (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+title\\)")
1169           (progn
1170             (goto-char (match-beginning 1))
1171             (delete-region (point) end))
1172         (goto-char end))
1173       (insert " title " (prin1-to-string name))))
1174   (calc-graph-view-commands))
1175
1176 (defun calc-graph-hide (flag)
1177   (interactive "P")
1178   (calc-graph-init)
1179   (and (calc-graph-find-plot nil nil)
1180        (progn
1181          (or (looking-at "{")
1182              (error "Can't hide this curve (wrong format)"))
1183          (forward-char 1)
1184          (if (looking-at "*")
1185              (if (or (null flag) (<= (prefix-numeric-value flag) 0))
1186                  (delete-char 1))
1187            (if (or (null flag) (> (prefix-numeric-value flag) 0))
1188                (insert "*"))))))
1189
1190 (defun calc-graph-header (title)
1191   (interactive "sTitle for entire graph: ")
1192   (calc-graph-set-command "title" (if (not (equal title ""))
1193                                       (prin1-to-string title))))
1194
1195 (defun calc-graph-border (flag)
1196   (interactive "P")
1197   (calc-graph-set-command "noborder"
1198                           (and (if flag
1199                                    (<= (prefix-numeric-value flag) 0)
1200                                  (not (calc-graph-find-command "noborder")))
1201                                " ")))
1202
1203 (defun calc-graph-grid (flag)
1204   (interactive "P")
1205   (calc-graph-set-command "grid" (and (if flag
1206                                           (> (prefix-numeric-value flag) 0)
1207                                         (not (calc-graph-find-command "grid")))
1208                                       " ")))
1209
1210 (defun calc-graph-key (flag)
1211   (interactive "P")
1212   (calc-graph-set-command "key" (and (if flag
1213                                          (> (prefix-numeric-value flag) 0)
1214                                        (not (calc-graph-find-command "key")))
1215                                      " ")))
1216
1217 (defun calc-graph-num-points (res flag)
1218   (interactive "sNumber of data points: \nP")
1219   (if flag
1220       (if (> (prefix-numeric-value flag) 0)
1221           (if (equal res "")
1222               (message "Default resolution is %d"
1223                        calc-graph-default-resolution)
1224             (setq calc-graph-default-resolution (string-to-number res)))
1225         (if (equal res "")
1226             (message "Default 3D resolution is %d"
1227                      calc-graph-default-resolution-3d)
1228           (setq calc-graph-default-resolution-3d (string-to-number res))))
1229     (calc-graph-set-command "samples" (if (not (equal res "")) res))))
1230
1231 (defun calc-graph-device (name flag)
1232   (interactive "sDevice name: \nP")
1233   (if (equal name "?")
1234       (progn
1235         (calc-gnuplot-command "set terminal")
1236         (calc-graph-view-trail))
1237     (if flag
1238         (if (> (prefix-numeric-value flag) 0)
1239             (if (equal name "")
1240                 (message "Default GNUPLOT device is \"%s\""
1241                          calc-gnuplot-default-device)
1242               (setq calc-gnuplot-default-device name))
1243           (if (equal name "")
1244               (message "GNUPLOT device for Print command is \"%s\""
1245                        calc-gnuplot-print-device)
1246             (setq calc-gnuplot-print-device name)))
1247       (calc-graph-set-command "terminal" (if (not (equal name ""))
1248                                              name)))))
1249
1250 (defun calc-graph-output (name flag)
1251   (interactive "FOutput file name: \np")
1252   (cond ((string-match "\\<[aA][uU][tT][oO]$" name)
1253          (setq name "auto"))
1254         ((string-match "\\<[tT][tT][yY]$" name)
1255          (setq name "tty"))
1256         ((string-match "\\<[sS][tT][dD][oO][uU][tT]$" name)
1257          (setq name "STDOUT"))
1258         ((equal (file-name-nondirectory name) "")
1259          (setq name ""))
1260         (t (setq name (expand-file-name name))))
1261   (if flag
1262       (if (> (prefix-numeric-value flag) 0)
1263           (if (equal name "")
1264               (message "Default GNUPLOT output file is \"%s\""
1265                        calc-gnuplot-default-output)
1266             (setq calc-gnuplot-default-output name))
1267         (if (equal name "")
1268             (message "GNUPLOT output file for Print command is \"%s\""
1269                      calc-gnuplot-print-output)
1270           (setq calc-gnuplot-print-output name)))
1271     (calc-graph-set-command "output" (if (not (equal name ""))
1272                                          (prin1-to-string name)))))
1273
1274 (defun calc-graph-display (name)
1275   (interactive "sX display name: ")
1276   (if (equal name "")
1277       (message "Current X display is \"%s\""
1278                (or calc-gnuplot-display "<none>"))
1279     (setq calc-gnuplot-display name)
1280     (if (calc-gnuplot-alive)
1281         (calc-gnuplot-command "exit"))))
1282
1283 (defun calc-graph-geometry (name)
1284   (interactive "sX geometry spec (or \"default\"): ")
1285   (if (equal name "")
1286       (message "Current X geometry is \"%s\""
1287                (or calc-gnuplot-geometry "default"))
1288     (setq calc-gnuplot-geometry (and (not (equal name "default")) name))
1289     (if (calc-gnuplot-alive)
1290         (calc-gnuplot-command "exit"))))
1291
1292 (defun calc-graph-find-command (cmd)
1293   (calc-graph-init)
1294   (save-excursion
1295     (set-buffer calc-gnuplot-input)
1296     (goto-char (point-min))
1297     (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t]*\\(.*\\)$") nil t)
1298         (buffer-substring (match-beginning 1) (match-end 1)))))
1299
1300 (defun calc-graph-set-command (cmd &rest args)
1301   (calc-graph-init)
1302   (save-excursion
1303     (set-buffer calc-gnuplot-input)
1304     (goto-char (point-min))
1305     (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t\n]") nil t)
1306         (progn
1307           (forward-char -1)
1308           (end-of-line)
1309           (let ((end (point)))
1310             (beginning-of-line)
1311             (delete-region (point) (1+ end))))
1312       (if (calc-graph-find-plot t t)
1313           (if (eq (preceding-char) ?\n)
1314               (forward-char -1))
1315         (goto-char (1- (point-max)))))
1316     (if (and args (car args))
1317         (progn
1318           (or (bolp)
1319               (insert "\n"))
1320           (insert "set " (mapconcat 'identity (cons cmd args) " ") "\n"))))
1321   (calc-graph-view-commands))
1322
1323 (defun calc-graph-command (cmd)
1324   (interactive "sGNUPLOT command: ")
1325   (calc-wrapper
1326    (calc-graph-init)
1327    (calc-graph-view-trail)
1328    (calc-gnuplot-command cmd)
1329    (accept-process-output)
1330    (calc-graph-view-trail)))
1331
1332 (defun calc-graph-kill (&optional no-view)
1333   (interactive)
1334   (calc-graph-delete-temps)
1335   (if (calc-gnuplot-alive)
1336       (calc-wrapper
1337        (or no-view (calc-graph-view-trail))
1338        (let ((calc-graph-no-wait t))
1339          (calc-gnuplot-command "exit"))
1340        (sit-for 1)
1341        (if (process-status calc-gnuplot-process)
1342            (delete-process calc-gnuplot-process))
1343        (setq calc-gnuplot-process nil))))
1344
1345 (defun calc-graph-quit ()
1346   (interactive)
1347   (if (get-buffer-window calc-gnuplot-input)
1348       (calc-graph-view-commands t))
1349   (if (get-buffer-window calc-gnuplot-buffer)
1350       (calc-graph-view-trail t))
1351   (calc-graph-kill t))
1352
1353 (defun calc-graph-view-commands (&optional no-need)
1354   (interactive "p")
1355   (or calc-graph-no-auto-view (calc-graph-init-buffers))
1356   (calc-graph-view calc-gnuplot-input calc-gnuplot-buffer (null no-need)))
1357
1358 (defun calc-graph-view-trail (&optional no-need)
1359   (interactive "p")
1360   (or calc-graph-no-auto-view (calc-graph-init-buffers))
1361   (calc-graph-view calc-gnuplot-buffer calc-gnuplot-input (null no-need)))
1362
1363 (defun calc-graph-view (buf other-buf need)
1364   (let (win)
1365     (or calc-graph-no-auto-view
1366         (if (setq win (get-buffer-window buf))
1367             (or need
1368                 (and (eq buf calc-gnuplot-buffer)
1369                      (save-excursion
1370                        (set-buffer buf)
1371                        (not (pos-visible-in-window-p (point-max) win))))
1372                 (progn
1373                   (bury-buffer buf)
1374                   (bury-buffer other-buf)
1375                   (let ((curwin (selected-window)))
1376                     (select-window win)
1377                     (switch-to-buffer nil)
1378                     (select-window curwin))))
1379           (if (setq win (get-buffer-window other-buf))
1380               (set-window-buffer win buf)
1381             (if (eq major-mode 'calc-mode)
1382                 (if (or need
1383                         (< (window-height) (1- (frame-height))))
1384                     (display-buffer buf))
1385               (switch-to-buffer buf)))))
1386     (save-excursion
1387       (set-buffer buf)
1388       (if (and (eq buf calc-gnuplot-buffer)
1389                (setq win (get-buffer-window buf))
1390                (not (pos-visible-in-window-p (point-max) win)))
1391           (progn
1392             (goto-char (point-max))
1393             (vertical-motion (- 6 (window-height win)))
1394             (set-window-start win (point))
1395             (goto-char (point-max)))))
1396     (or calc-graph-no-auto-view (sit-for 0))))
1397
1398 (defun calc-gnuplot-check-for-errors ()
1399   (if (save-excursion
1400         (prog2
1401          (progn
1402            (set-buffer calc-gnuplot-buffer)
1403            (goto-char calc-gnuplot-last-error-pos))
1404          (re-search-forward "^[ \t]+\\^$" nil t)
1405          (goto-char (point-max))
1406          (setq calc-gnuplot-last-error-pos (point-max))))
1407       (calc-graph-view-trail)))
1408
1409 (defun calc-gnuplot-command (&rest args)
1410   (calc-graph-init)
1411   (let ((cmd (concat (mapconcat 'identity args " ") "\n")))
1412     (accept-process-output)
1413     (save-excursion
1414       (set-buffer calc-gnuplot-buffer)
1415       (calc-gnuplot-check-for-errors)
1416       (goto-char (point-max))
1417       (setq calc-gnuplot-trail-mark (point))
1418       (or (>= calc-gnuplot-version 3)
1419           (insert cmd))
1420       (set-marker (process-mark calc-gnuplot-process) (point))
1421       (process-send-string calc-gnuplot-process cmd)
1422       (if (get-buffer-window calc-gnuplot-buffer)
1423           (calc-graph-view-trail))
1424       (accept-process-output (and (not calc-graph-no-wait)
1425                                   calc-gnuplot-process))
1426       (calc-gnuplot-check-for-errors)
1427       (if (get-buffer-window calc-gnuplot-buffer)
1428           (calc-graph-view-trail)))))
1429
1430 (defun calc-graph-init-buffers ()
1431   (or (and calc-gnuplot-buffer
1432            (buffer-name calc-gnuplot-buffer))
1433       (setq calc-gnuplot-buffer (get-buffer-create "*Gnuplot Trail*")))
1434   (or (and calc-gnuplot-input
1435            (buffer-name calc-gnuplot-input))
1436       (setq calc-gnuplot-input (get-buffer-create "*Gnuplot Commands*"))))
1437
1438 (defun calc-graph-init ()
1439   (or (calc-gnuplot-alive)
1440       (let ((process-connection-type t)
1441             origin)
1442         (if calc-gnuplot-process
1443             (progn
1444               (delete-process calc-gnuplot-process)
1445               (setq calc-gnuplot-process nil)))
1446         (calc-graph-init-buffers)
1447         (save-excursion
1448           (set-buffer calc-gnuplot-buffer)
1449           (insert "\nStarting gnuplot...\n")
1450           (setq origin (point)))
1451         (setq calc-graph-last-device nil)
1452         (setq calc-graph-last-output nil)
1453         (condition-case err
1454             (let ((args (append (and calc-gnuplot-display
1455                                      (not (equal calc-gnuplot-display
1456                                                  (getenv "DISPLAY")))
1457                                      (list "-display"
1458                                            calc-gnuplot-display))
1459                                 (and calc-gnuplot-geometry
1460                                      (list "-geometry"
1461                                            calc-gnuplot-geometry)))))
1462               (setq calc-gnuplot-process
1463                     (apply 'start-process
1464                            "gnuplot"
1465                            calc-gnuplot-buffer
1466                            calc-gnuplot-name
1467                            args))
1468               (set-process-query-on-exit-flag calc-gnuplot-process nil))
1469           (file-error
1470            (error "Sorry, can't find \"%s\" on your system"
1471                   calc-gnuplot-name)))
1472         (save-excursion
1473           (set-buffer calc-gnuplot-buffer)
1474           (while (and (not (save-excursion
1475                              (goto-char origin)
1476                              (search-forward "gnuplot> " nil t)))
1477                       (memq (process-status calc-gnuplot-process) '(run stop)))
1478             (accept-process-output calc-gnuplot-process))
1479           (or (memq (process-status calc-gnuplot-process) '(run stop))
1480               (error "Unable to start GNUPLOT process"))
1481           (if (save-excursion
1482                 (goto-char origin)
1483                 (re-search-forward
1484                  "G N U P L O T.*\n.*version \\([0-9]+\\)\\." nil t))
1485               (setq calc-gnuplot-version (string-to-number (buffer-substring
1486                                                          (match-beginning 1)
1487                                                          (match-end 1))))
1488             (setq calc-gnuplot-version 1))
1489           (goto-char (point-max)))))
1490   (save-excursion
1491     (set-buffer calc-gnuplot-input)
1492     (if (= (buffer-size) 0)
1493         (insert "# Commands for running gnuplot\n\n\n")
1494       (or calc-graph-no-auto-view
1495           (eq (char-after (1- (point-max))) ?\n)
1496           (progn
1497             (goto-char (point-max))
1498             (insert "\n"))))))
1499
1500 (provide 'calc-graph)
1501
1502 ;;; arch-tag: e4b06a52-c386-4d54-a2bb-7c0a0ef533c2
1503 ;;; calc-graph.el ends here