lisp/calc/calc-graph.el

   1 ;;; calc-graph.el --- graph output functions for Calc
   2
   3 ;; Copyright (C) 1990-1993, 2001-2011 Free Software Foundation, Inc.
   4
   5 ;; Author: David Gillespie <daveg@synaptics.com>
   6 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   7
   8 ;; This file is part of GNU Emacs.
   9
  10 ;; GNU Emacs is free software: you can redistribute it and/or modify
  11 ;; it under the terms of the GNU General Public License as published by
  12 ;; the Free Software Foundation, either version 3 of the License, or
  13 ;; (at your option) any later version.
  14
  15 ;; GNU Emacs is distributed in the hope that it will be useful,
  16 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  18 ;; GNU General Public License for more details.
  19
  20 ;; You should have received a copy of the GNU General Public License
  21 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  22
  23 ;;; Commentary:
  24
  25 ;;; Code:
  26
  27 ;; This file is autoloaded from calc-ext.el.
  28
  29 (require 'calc-ext)
  30 (require 'calc-macs)
  31
  32 ;;; Graphics
  33
  34 ;; The following three variables are customizable and defined in calc.el.
  35 (defvar calc-gnuplot-name)
  36 (defvar calc-gnuplot-plot-command)
  37 (defvar calc-gnuplot-print-command)
  38
  39 (defvar calc-gnuplot-tempfile "calc")
  40
  41 (defvar calc-gnuplot-default-device)
  42 (defvar calc-gnuplot-default-output)
  43 (defvar calc-gnuplot-print-device)
  44 (defvar calc-gnuplot-print-output)
  45 (defvar calc-gnuplot-keep-outfile nil)
  46 (defvar calc-gnuplot-version nil)
  47
  48 (defvar calc-gnuplot-display (getenv "DISPLAY"))
  49 (defvar calc-gnuplot-geometry)
  50
  51 (defvar calc-graph-default-resolution)
  52 (defvar calc-graph-default-resolution-3d)
  53 (defvar calc-graph-default-precision 5)
  54
  55 (defvar calc-gnuplot-buffer nil)
  56 (defvar calc-gnuplot-input nil)
  57
  58 (defvar calc-gnuplot-last-error-pos 1)
  59 (defvar calc-graph-last-device nil)
  60 (defvar calc-graph-last-output nil)
  61 (defvar calc-graph-file-cache nil)
  62 (defvar calc-graph-var-cache nil)
  63 (defvar calc-graph-data-cache nil)
  64 (defvar calc-graph-data-cache-limit 10)
  65 (defvar calc-graph-no-auto-view nil)
  66 (defvar calc-graph-no-wait nil)
  67 (defvar calc-gnuplot-trail-mark)
  68
  69 (defun calc-graph-fast (many)
  70   (interactive "P")
  71   (let ((calc-graph-no-auto-view t))
  72     (calc-graph-delete t)
  73     (calc-graph-add many)
  74     (calc-graph-plot nil)))
  75
  76 (defun calc-graph-fast-3d (many)
  77   (interactive "P")
  78   (let ((calc-graph-no-auto-view t))
  79     (calc-graph-delete t)
  80     (calc-graph-add-3d many)
  81     (calc-graph-plot nil)))
  82
  83 (defun calc-graph-delete (all)
  84   (interactive "P")
  85   (calc-wrapper
  86    (calc-graph-init)
  87    (with-current-buffer calc-gnuplot-input
  88      (and (calc-graph-find-plot t all)
  89           (progn
  90             (if (looking-at "s?plot")
  91                 (progn
  92                   (setq calc-graph-var-cache nil)
  93                   (delete-region (point) (point-max)))
  94               (delete-region (point) (1- (point-max)))))))
  95    (calc-graph-view-commands)))
  96
  97 (defun calc-graph-find-plot (&optional before all)
  98   (goto-char (point-min))
  99   (and (re-search-forward "^s?plot[ \t]+" nil t)
 100        (let ((beg (point)))
 101          (goto-char (point-max))
 102          (if (or all
 103                  (not (search-backward "," nil t))
 104                  (< (point) beg))
 105              (progn
 106                (goto-char beg)
 107                (if before
 108                    (beginning-of-line)))
 109            (or before
 110                (re-search-forward ",[ \t]+")))
 111          t)))
 112
 113 (defun calc-graph-add (many)
 114   (interactive "P")
 115   (calc-wrapper
 116    (calc-graph-init)
 117    (cond ((null many)
 118           (calc-graph-add-curve (calc-graph-lookup (calc-top-n 2))
 119                                 (calc-graph-lookup (calc-top-n 1))))
 120          ((or (consp many) (eq many 0))
 121           (let ((xdata (calc-graph-lookup (calc-top-n 2)))
 122                 (ylist (calc-top-n 1)))
 123             (or (eq (car-safe ylist) 'vec)
 124                 (error "Y argument must be a vector"))
 125             (while (setq ylist (cdr ylist))
 126               (calc-graph-add-curve xdata (calc-graph-lookup (car ylist))))))
 127          ((> (setq many (prefix-numeric-value many)) 0)
 128           (let ((xdata (calc-graph-lookup (calc-top-n (1+ many)))))
 129             (while (> many 0)
 130               (calc-graph-add-curve xdata
 131                                     (calc-graph-lookup (calc-top-n many)))
 132               (setq many (1- many)))))
 133          (t
 134           (let (pair)
 135             (setq many (- many))
 136             (while (> many 0)
 137               (setq pair (calc-top-n many))
 138               (or (and (eq (car-safe pair) 'vec)
 139                        (= (length pair) 3))
 140                   (error "Argument must be an [x,y] vector"))
 141               (calc-graph-add-curve (calc-graph-lookup (nth 1 pair))
 142                                     (calc-graph-lookup (nth 2 pair)))
 143               (setq many (1- many))))))
 144    (calc-graph-view-commands)))
 145
 146 (defun calc-graph-add-3d (many)
 147   (interactive "P")
 148   (calc-wrapper
 149    (calc-graph-init)
 150    (cond ((null many)
 151           (calc-graph-add-curve (calc-graph-lookup (calc-top-n 3))
 152                                 (calc-graph-lookup (calc-top-n 2))
 153                                 (calc-graph-lookup (calc-top-n 1))))
 154          ((or (consp many) (eq many 0))
 155           (let ((xdata (calc-graph-lookup (calc-top-n 3)))
 156                 (ydata (calc-graph-lookup (calc-top-n 2)))
 157                 (zlist (calc-top-n 1)))
 158             (or (eq (car-safe zlist) 'vec)
 159                 (error "Z argument must be a vector"))
 160             (while (setq zlist (cdr zlist))
 161               (calc-graph-add-curve xdata ydata
 162                                     (calc-graph-lookup (car zlist))))))
 163          ((> (setq many (prefix-numeric-value many)) 0)
 164           (let ((xdata (calc-graph-lookup (calc-top-n (+ many 2))))
 165                 (ydata (calc-graph-lookup (calc-top-n (+ many 1)))))
 166             (while (> many 0)
 167               (calc-graph-add-curve xdata ydata
 168                                     (calc-graph-lookup (calc-top-n many)))
 169               (setq many (1- many)))))
 170          (t
 171           (let (curve)
 172             (setq many (- many))
 173             (while (> many 0)
 174               (setq curve (calc-top-n many))
 175               (or (and (eq (car-safe curve) 'vec)
 176                        (= (length curve) 4))
 177                   (error "Argument must be an [x,y,z] vector"))
 178               (calc-graph-add-curve (calc-graph-lookup (nth 1 curve))
 179                                     (calc-graph-lookup (nth 2 curve))
 180                                     (calc-graph-lookup (nth 3 curve)))
 181               (setq many (1- many))))))
 182    (calc-graph-view-commands)))
 183
 184 (defun calc-graph-add-curve (xdata ydata &optional zdata)
 185   (let ((num (calc-graph-count-curves))
 186         (pstyle (calc-var-value 'var-PointStyles))
 187         (lstyle (calc-var-value 'var-LineStyles)))
 188     (with-current-buffer calc-gnuplot-input
 189       (goto-char (point-min))
 190       (if (re-search-forward (if zdata "^plot[ \t]" "^splot[ \t]")
 191                              nil t)
 192           (error "Can't mix 2d and 3d curves on one graph"))
 193       (if (re-search-forward "^s?plot[ \t]" nil t)
 194           (progn
 195             (end-of-line)
 196             (insert ", "))
 197         (goto-char (point-max))
 198         (or (eq (preceding-char) ?\n)
 199             (insert "\n"))
 200         (insert (if zdata "splot" "plot") " \n")
 201         (forward-char -1))
 202       (insert "{" (symbol-name (nth 1 xdata))
 203               ":" (symbol-name (nth 1 ydata)))
 204       (if zdata
 205           (insert ":" (symbol-name (nth 1 zdata))))
 206       (insert "} "
 207               "title \"" (symbol-name (nth 1 ydata)) "\" "
 208               "with dots")
 209       (setq pstyle (and (eq (car-safe pstyle) 'vec) (nth (1+ num) pstyle)))
 210       (setq lstyle (and (eq (car-safe lstyle) 'vec) (nth (1+ num) lstyle))))
 211     (calc-graph-set-styles
 212      (or (and (Math-num-integerp lstyle) (math-trunc lstyle))
 213          0)
 214      (or (and (Math-num-integerp pstyle) (math-trunc pstyle))
 215          (if (eq (car-safe (calc-var-value (nth 2 ydata))) 'vec)
 216              0 -1))
 217      (math-contains-sdev-p (eval (nth 2 ydata))))))
 218
 219 (defun calc-graph-lookup (thing)
 220   (if (and (eq (car-safe thing) 'var)
 221            (calc-var-value (nth 2 thing)))
 222       thing
 223     (let ((found (assoc thing calc-graph-var-cache)))
 224       (or found
 225           (let ((varname (concat "PlotData"
 226                                  (int-to-string
 227                                   (1+ (length calc-graph-var-cache)))))
 228                 var)
 229             (setq var (list 'var (intern varname)
 230                             (intern (concat "var-" varname)))
 231                   found (cons thing var)
 232                   calc-graph-var-cache (cons found calc-graph-var-cache))
 233             (set (nth 2 var) thing)))
 234       (cdr found))))
 235
 236 (defun calc-graph-juggle (arg)
 237   (interactive "p")
 238   (calc-graph-init)
 239   (with-current-buffer calc-gnuplot-input
 240     (if (< arg 0)
 241         (let ((num (calc-graph-count-curves)))
 242           (if (> num 0)
 243               (while (< arg 0)
 244                 (setq arg (+ arg num))))))
 245     (while (>= (setq arg (1- arg)) 0)
 246       (calc-graph-do-juggle))))
 247
 248 (defun calc-graph-count-curves ()
 249   (with-current-buffer calc-gnuplot-input
 250     (if (re-search-forward "^s?plot[ \t]" nil t)
 251         (let ((num 1))
 252           (goto-char (point-min))
 253           (while (search-forward "," nil t)
 254             (setq num (1+ num)))
 255           num)
 256       0)))
 257
 258 (defun calc-graph-do-juggle ()
 259   (let (base)
 260     (and (calc-graph-find-plot t t)
 261          (progn
 262            (setq base (point))
 263            (calc-graph-find-plot t nil)
 264            (or (eq base (point))
 265                (let ((str (buffer-substring (+ (point) 2) (1- (point-max)))))
 266                  (delete-region (point) (1- (point-max)))
 267                  (goto-char (+ base 5))
 268                  (insert str ", ")))))))
 269
 270 (defun calc-graph-print (flag)
 271   (interactive "P")
 272   (calc-graph-plot flag t))
 273
 274 (defvar var-DUMMY)
 275 (defvar var-DUMMY2)
 276 (defvar var-PlotRejects)
 277
 278 ;; The following variables are local to calc-graph-plot, but are
 279 ;; used in the functions calc-graph-compute-2d, calc-graph-refine-2d,
 280 ;; calc-graph-recompute-2d, calc-graph-compute-3d and
 281 ;; calc-graph-format-data, which are called by calc-graph-plot.
 282 (defvar calc-graph-yvalue)
 283 (defvar calc-graph-yvec)
 284 (defvar calc-graph-numsteps)
 285 (defvar calc-graph-numsteps3)
 286 (defvar calc-graph-xvalue)
 287 (defvar calc-graph-xvec)
 288 (defvar calc-graph-xname)
 289 (defvar calc-graph-yname)
 290 (defvar calc-graph-xstep)
 291 (defvar calc-graph-ycache)
 292 (defvar calc-graph-ycacheptr)
 293 (defvar calc-graph-refine)
 294 (defvar calc-graph-keep-file)
 295 (defvar calc-graph-xval)
 296 (defvar calc-graph-xlow)
 297 (defvar calc-graph-xhigh)
 298 (defvar calc-graph-yval)
 299 (defvar calc-graph-yp)
 300 (defvar calc-graph-xp)
 301 (defvar calc-graph-zp)
 302 (defvar calc-graph-yvector)
 303 (defvar calc-graph-resolution)
 304 (defvar calc-graph-y3value)
 305 (defvar calc-graph-y3name)
 306 (defvar calc-graph-y3step)
 307 (defvar calc-graph-zval)
 308 (defvar calc-graph-stepcount)
 309 (defvar calc-graph-is-splot)
 310 (defvar calc-graph-surprise-splot)
 311 (defvar calc-graph-blank)
 312 (defvar calc-graph-non-blank)
 313 (defvar calc-graph-curve-num)
 314
 315 (defun calc-graph-plot (flag &optional printing)
 316   (interactive "P")
 317   (calc-slow-wrapper
 318    (let ((calcbuf (current-buffer))
 319          (tempbuf (get-buffer-create "*Gnuplot Temp-2*"))
 320          (tempbuftop 1)
 321          (tempoutfile nil)
 322          (calc-graph-curve-num 0)
 323          (calc-graph-refine (and flag (> (prefix-numeric-value flag) 0)))
 324          (recompute (and flag (< (prefix-numeric-value flag) 0)))
 325          (calc-graph-surprise-splot nil)
 326          (tty-output nil)
 327          cache-env calc-graph-is-splot device output calc-graph-resolution precision samples-pos)
 328      (add-hook 'kill-emacs-hook 'calc-graph-kill-hook)
 329      (save-excursion
 330        (calc-graph-init)
 331        (set-buffer tempbuf)
 332        (erase-buffer)
 333        (set-buffer calc-gnuplot-input)
 334        (goto-char (point-min))
 335        (setq calc-graph-is-splot (re-search-forward "^splot[ \t]" nil t))
 336        (let ((str (buffer-string))
 337              (ver calc-gnuplot-version))
 338          (set-buffer (get-buffer-create "*Gnuplot Temp*"))
 339          (erase-buffer)
 340          (insert "# (Note: This is a temporary copy---do not edit!)\n")
 341          (if (>= ver 2)
 342              (insert "set noarrow\nset nolabel\n"
 343                      "set autoscale xy\nset nologscale xy\n"
 344                      "set xlabel\nset ylabel\nset title\n"
 345                      "set noclip points\nset clip one\nset clip two\n"
 346                      "set format \"%g\"\nset tics\nset xtics\nset ytics\n"
 347                      "set style data linespoints\n"
 348                      "set nogrid\nset nokey\nset nopolar\n"))
 349          (if (>= ver 3)
 350              (insert "set surface\nset nocontour\n"
 351                      "set " (if calc-graph-is-splot "" "no") "parametric\n"
 352                      "set notime\nset border\nset ztics\nset zeroaxis\n"
 353                      "set view 60,30,1,1\nset offsets 0,0,0,0\n"))
 354          (setq samples-pos (point))
 355          (insert "\n\n" str))
 356        (goto-char (point-min))
 357        (if calc-graph-is-splot
 358            (if calc-graph-refine
 359                (error "This option works only for 2d plots")
 360              (setq recompute t)))
 361        (let ((calc-gnuplot-input (current-buffer))
 362              (calc-graph-no-auto-view t))
 363          (if printing
 364              (setq device calc-gnuplot-print-device
 365                    output calc-gnuplot-print-output)
 366            (setq device (calc-graph-find-command "terminal")
 367                  output (calc-graph-find-command "output"))
 368            (or device
 369                (setq device calc-gnuplot-default-device))
 370            (if output
 371                (setq output (car (read-from-string output)))
 372              (setq output calc-gnuplot-default-output)))
 373          (if (or (equal device "") (equal device "default"))
 374              (setq device
 375                    (cond
 376                     (printing "postscript")
 377                     ;; Check MS-Windows before X, in case they have
 378                     ;; $DISPLAY set for some reason (e.g., Cygwin or
 379                     ;; whatever)
 380                     ((string= calc-gnuplot-name "pgnuplot")
 381                      "windows")
 382                     ((or (eq window-system 'x) (getenv "DISPLAY"))
 383                      "x11")
 384                     ((>= calc-gnuplot-version 3)
 385                      "dumb")
 386                     (t "postscript"))))
 387          (if (equal device "dumb")
 388              (setq device (format "dumb %d %d"
 389                                   (1- (frame-width)) (1- (frame-height)))))
 390          (if (equal device "big")
 391              (setq device (format "dumb %d %d"
 392                                   (* 4 (- (frame-width) 3))
 393                                   (* 4 (- (frame-height) 3)))))
 394          (if (stringp output)
 395              (if (or (equal output "auto")
 396                      (and (equal output "tty") (setq tty-output t)))
 397                  (setq tempoutfile (calc-temp-file-name -1)
 398                        output tempoutfile))
 399            (setq output (eval output)))
 400          (or (equal device calc-graph-last-device)
 401              (progn
 402                (setq calc-graph-last-device device)
 403                (calc-gnuplot-command "set terminal" device)))
 404          (or (equal output calc-graph-last-output)
 405              (progn
 406                (setq calc-graph-last-output output)
 407                (calc-gnuplot-command "set output"
 408                                      (if (equal output "STDOUT")
 409                                          ""
 410                                        (prin1-to-string output)))))
 411          (setq calc-graph-resolution (calc-graph-find-command "samples"))
 412          (if calc-graph-resolution
 413              (setq calc-graph-resolution (string-to-number calc-graph-resolution))
 414            (setq calc-graph-resolution (if calc-graph-is-splot
 415                                 calc-graph-default-resolution-3d
 416                               calc-graph-default-resolution)))
 417          (setq precision (calc-graph-find-command "precision"))
 418          (if precision
 419              (setq precision (string-to-number precision))
 420            (setq precision calc-graph-default-precision))
 421          (calc-graph-set-command "terminal")
 422          (calc-graph-set-command "output")
 423          (calc-graph-set-command "samples")
 424          (calc-graph-set-command "precision"))
 425        (goto-char samples-pos)
 426        (insert "set samples " (int-to-string (max (if calc-graph-is-splot 20 200)
 427                                                   (+ 5 calc-graph-resolution))) "\n")
 428        (while (re-search-forward "{\\*[^}]+}[^,\n]*" nil t)
 429          (delete-region (match-beginning 0) (match-end 0))
 430          (if (looking-at ",")
 431              (delete-char 1)
 432            (while (memq (preceding-char) '(?\s ?\t))
 433              (forward-char -1))
 434            (if (eq (preceding-char) ?\,)
 435                (delete-char -1))))
 436        (with-current-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            (with-current-buffer calcbuf
 472              (let (tempbuftop
 473                    (calc-graph-xp calc-graph-xvalue)
 474                    (calc-graph-yp calc-graph-yvalue)
 475                    (calc-graph-zp nil)
 476                    (calc-graph-xlow nil) (calc-graph-xhigh nil) (y3low nil) (y3high nil)
 477                    calc-graph-xvec calc-graph-xval calc-graph-xstep var-DUMMY
 478                    y3val calc-graph-y3step var-DUMMY2 (calc-graph-zval nil)
 479                    calc-graph-yvec calc-graph-yval calc-graph-ycache calc-graph-ycacheptr calc-graph-yvector
 480                    calc-graph-numsteps calc-graph-numsteps3
 481                    (calc-graph-keep-file (and (not calc-graph-is-splot) (file-exists-p filename)))
 482                    (calc-graph-stepcount 0)
 483                    (calc-symbolic-mode nil)
 484                    (calc-prefer-frac nil)
 485                    (calc-internal-prec (max 3 precision))
 486                    (calc-simplify-mode (and (not (memq calc-simplify-mode
 487                                                        '(none num)))
 488                                             calc-simplify-mode))
 489                    (calc-graph-blank t)
 490                    (calc-graph-non-blank nil)
 491                    (math-working-step 0)
 492                    (math-working-step-2 nil))
 493                (save-excursion
 494                  (if calc-graph-is-splot
 495                      (calc-graph-compute-3d)
 496                    (calc-graph-compute-2d))
 497                  (set-buffer tempbuf)
 498                  (goto-char (point-max))
 499                  (insert "\n" calc-graph-xname)
 500                  (if calc-graph-is-splot
 501                      (insert ":" calc-graph-y3name))
 502                  (insert ":" calc-graph-yname "\n\n")
 503                  (setq tempbuftop (point))
 504                  (let ((calc-group-digits nil)
 505                        (calc-leading-zeros nil)
 506                        (calc-number-radix 10)
 507                        (calc-twos-complement-mode nil)
 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          (let ((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 ((math-arglist nil))
 578           (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
 579           (calc-default-formula-arglist calc-graph-yvalue)
 580           (or math-arglist
 581               (error "%s does not contain any unassigned variables" calc-graph-yname))
 582           (and (cdr math-arglist)
 583                (error "%s contains more than one variable: %s"
 584                       calc-graph-yname math-arglist))
 585           (setq calc-graph-yvalue (math-expr-subst calc-graph-yvalue
 586                                         (math-build-var-name (car math-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 ((math-arglist nil))
 739           (setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
 740           (calc-default-formula-arglist calc-graph-yvalue)
 741           (setq math-arglist (sort math-arglist 'string-lessp))
 742           (or (cdr math-arglist)
 743               (error "%s does not contain enough unassigned variables" calc-graph-yname))
 744           (and (cdr (cdr math-arglist))
 745                (error "%s contains too many variables: %s" calc-graph-yname math-arglist))
 746           (setq calc-graph-yvalue (math-multi-subst calc-graph-yvalue
 747                                          (mapcar 'math-build-var-name
 748                                                  math-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                 (with-current-buffer (get-buffer-create "*Gnuplot Temp*")
 830                   (save-excursion
 831                     (goto-char (point-max))
 832                     (re-search-backward "^plot[ \t]")
 833                     (insert "set parametric\ns")
 834                     (setq calc-graph-surprise-splot t))))
 835             (setq calc-graph-xval (nth 1 calc-graph-yval)
 836                   calc-graph-zval (nth 3 calc-graph-yval)
 837                   calc-graph-yval (nth 2 calc-graph-yval)))
 838         (if (and (eq (car-safe calc-graph-yval) 'calcFunc-xy)
 839                  (= (length calc-graph-yval) 3))
 840             (setq calc-graph-xval (nth 1 calc-graph-yval)
 841                   calc-graph-yval (nth 2 calc-graph-yval)))))
 842     (if (and (Math-realp calc-graph-xval)
 843              (Math-realp calc-graph-yval)
 844              (or (not calc-graph-zval) (Math-realp calc-graph-zval)))
 845         (progn
 846           (setq calc-graph-blank nil
 847                 calc-graph-non-blank t)
 848           (if (Math-integerp calc-graph-xval)
 849               (insert (math-format-number calc-graph-xval))
 850             (if (eq (car calc-graph-xval) 'frac)
 851                 (setq calc-graph-xval (math-float calc-graph-xval)))
 852             (insert (math-format-number (nth 1 calc-graph-xval))
 853                     "e" (int-to-string (nth 2 calc-graph-xval))))
 854           (insert " ")
 855           (if (Math-integerp calc-graph-yval)
 856               (insert (math-format-number calc-graph-yval))
 857             (if (eq (car calc-graph-yval) 'frac)
 858                 (setq calc-graph-yval (math-float calc-graph-yval)))
 859             (insert (math-format-number (nth 1 calc-graph-yval))
 860                     "e" (int-to-string (nth 2 calc-graph-yval))))
 861           (if calc-graph-zval
 862               (progn
 863                 (insert " ")
 864                 (if (Math-integerp calc-graph-zval)
 865                     (insert (math-format-number calc-graph-zval))
 866                   (if (eq (car calc-graph-zval) 'frac)
 867                       (setq calc-graph-zval (math-float calc-graph-zval)))
 868                   (insert (math-format-number (nth 1 calc-graph-zval))
 869                           "e" (int-to-string (nth 2 calc-graph-zval))))))
 870           (insert "\n"))
 871       (and (not (equal calc-graph-zval '(skip)))
 872            (boundp 'var-PlotRejects)
 873            (eq (car-safe var-PlotRejects) 'vec)
 874            (nconc var-PlotRejects
 875                   (list (list 'vec
 876                               calc-graph-curve-num
 877                               calc-graph-stepcount
 878                               calc-graph-xval calc-graph-yval)))
 879            (calc-refresh-evaltos 'var-PlotRejects))
 880       (or calc-graph-blank
 881           (progn
 882             (insert "\n")
 883             (setq calc-graph-blank t))))))
 884
 885 (defun calc-temp-file-name (num)
 886   (while (<= (length calc-graph-file-cache) (1+ num))
 887     (setq calc-graph-file-cache (nconc calc-graph-file-cache (list nil))))
 888   (car (or (nth (1+ num) calc-graph-file-cache)
 889            (setcar (nthcdr (1+ num) calc-graph-file-cache)
 890                    (list (make-temp-file
 891                           (concat calc-gnuplot-tempfile
 892                                   (if (<= num 0)
 893                                       (char-to-string (- ?A num))
 894                                     (int-to-string num))))
 895                          nil)))))
 896
 897 (defun calc-graph-delete-temps ()
 898   (while calc-graph-file-cache
 899     (and (car calc-graph-file-cache)
 900          (file-exists-p (car (car calc-graph-file-cache)))
 901          (condition-case err
 902              (delete-file (car (car calc-graph-file-cache)))
 903            (error nil)))
 904     (setq calc-graph-file-cache (cdr calc-graph-file-cache))))
 905
 906 (defun calc-graph-kill-hook ()
 907   (calc-graph-delete-temps))
 908
 909 (defun calc-graph-show-tty (output)
 910   "Default calc-gnuplot-plot-command for \"tty\" output mode.
 911 This is useful for tek40xx and other graphics-terminal types."
 912   (call-process-region 1 1 shell-file-name
 913                        nil calc-gnuplot-buffer nil
 914                        "-c" (format "cat %s >/dev/tty; rm %s" output output)))
 915
 916 (defvar calc-dumb-map nil
 917   "The keymap for the \"dumb\" terminal plot.")
 918
 919 (defun calc-graph-show-dumb (&optional output)
 920   "Default calc-gnuplot-plot-command for Pinard's \"dumb\" terminal type.
 921 This \"dumb\" driver will be present in Gnuplot 3.0."
 922   (interactive)
 923   (save-window-excursion
 924     (switch-to-buffer calc-gnuplot-buffer)
 925     (delete-other-windows)
 926     (goto-char calc-gnuplot-trail-mark)
 927     (or (search-forward "\f" nil t)
 928         (sleep-for 1))
 929     (goto-char (point-max))
 930     (re-search-backward "\f\\|^[ \t]+\\^$\\|G N U P L O T")
 931     (if (looking-at "\f")
 932         (progn
 933           (forward-char 1)
 934           (if (eolp) (forward-line 1))
 935           (or (calc-graph-find-command "time")
 936               (calc-graph-find-command "title")
 937               (calc-graph-find-command "ylabel")
 938               (let ((pt (point)))
 939                 (insert-before-markers (format "(%s)" (current-time-string)))
 940                 (goto-char pt)))
 941           (set-window-start (selected-window) (point))
 942           (goto-char (point-max)))
 943       (end-of-line)
 944       (backward-char 1)
 945       (recenter '(4)))
 946     (or calc-dumb-map
 947         (progn
 948           (setq calc-dumb-map (make-sparse-keymap))
 949           (define-key calc-dumb-map "\n" 'scroll-up)
 950           (define-key calc-dumb-map " " 'scroll-up)
 951           (define-key calc-dumb-map "\177" 'scroll-down)
 952           (define-key calc-dumb-map "<" 'scroll-left)
 953           (define-key calc-dumb-map ">" 'scroll-right)
 954           (define-key calc-dumb-map "{" 'scroll-down)
 955           (define-key calc-dumb-map "}" 'scroll-up)
 956           (define-key calc-dumb-map "q" 'exit-recursive-edit)
 957           (define-key calc-dumb-map "\C-c\C-c" 'exit-recursive-edit)))
 958     (use-local-map calc-dumb-map)
 959     (setq truncate-lines t)
 960     (message "Type `q' or `C-c C-c' to return to Calc")
 961     (recursive-edit)
 962     (bury-buffer "*Gnuplot Trail*")))
 963
 964 (defun calc-graph-clear ()
 965   (interactive)
 966   (if calc-graph-last-device
 967       (if (or (equal calc-graph-last-device "x11")
 968               (equal calc-graph-last-device "X11"))
 969           (calc-gnuplot-command "set output"
 970                                 (if (equal calc-graph-last-output "STDOUT")
 971                                     ""
 972                                   (prin1-to-string calc-graph-last-output)))
 973         (calc-gnuplot-command "clear"))))
 974
 975 (defun calc-graph-title-x (title)
 976   (interactive "sX axis title: ")
 977   (calc-graph-set-command "xlabel" (if (not (equal title ""))
 978                                        (prin1-to-string title))))
 979
 980 (defun calc-graph-title-y (title)
 981   (interactive "sY axis title: ")
 982   (calc-graph-set-command "ylabel" (if (not (equal title ""))
 983                                        (prin1-to-string title))))
 984
 985 (defun calc-graph-title-z (title)
 986   (interactive "sZ axis title: ")
 987   (calc-graph-set-command "zlabel" (if (not (equal title ""))
 988                                        (prin1-to-string title))))
 989
 990 (defun calc-graph-range-x (range)
 991   (interactive "sX axis range: ")
 992   (calc-graph-set-range "xrange" range))
 993
 994 (defun calc-graph-range-y (range)
 995   (interactive "sY axis range: ")
 996   (calc-graph-set-range "yrange" range))
 997
 998 (defun calc-graph-range-z (range)
 999   (interactive "sZ axis range: ")
1000   (calc-graph-set-range "zrange" range))
1001
1002 (defun calc-graph-set-range (cmd range)
1003   (if (equal range "$")
1004       (calc-wrapper
1005        (let ((val (calc-top-n 1)))
1006          (if (and (eq (car-safe val) 'intv) (math-constp val))
1007              (setq range (concat
1008                           (math-format-number (math-float (nth 2 val))) ":"
1009                           (math-format-number (math-float (nth 3 val)))))
1010            (if (and (eq (car-safe val) 'vec)
1011                     (= (length val) 3))
1012                (setq range (concat
1013                             (math-format-number (math-float (nth 1 val))) ":"
1014                             (math-format-number (math-float (nth 2 val)))))
1015              (error "Range specification must be an interval or 2-vector")))
1016          (calc-pop-stack 1))))
1017   (if (string-match "\\[.+\\]" range)
1018       (setq range (substring range 1 -1)))
1019   (if (and (not (string-match ":" range))
1020            (or (string-match "," range)
1021                (string-match " " range)))
1022       (aset range (match-beginning 0) ?\:))
1023   (calc-graph-set-command cmd (if (not (equal range ""))
1024                                   (concat "[" range "]"))))
1025
1026 (defun calc-graph-log-x (flag)
1027   (interactive "P")
1028   (calc-graph-set-log flag 0 0))
1029
1030 (defun calc-graph-log-y (flag)
1031   (interactive "P")
1032   (calc-graph-set-log 0 flag 0))
1033
1034 (defun calc-graph-log-z (flag)
1035   (interactive "P")
1036   (calc-graph-set-log 0 0 flag))
1037
1038 (defun calc-graph-set-log (xflag yflag zflag)
1039   (let* ((old (or (calc-graph-find-command "logscale") ""))
1040          (xold (string-match "x" old))
1041          (yold (string-match "y" old))
1042          (zold (string-match "z" old))
1043          str)
1044     (setq str (concat (if (if xflag
1045                               (if (eq xflag 0) xold
1046                                 (> (prefix-numeric-value xflag) 0))
1047                             (not xold)) "x" "")
1048                       (if (if yflag
1049                               (if (eq yflag 0) yold
1050                                 (> (prefix-numeric-value yflag) 0))
1051                             (not yold)) "y" "")
1052                       (if (if zflag
1053                               (if (eq zflag 0) zold
1054                                 (> (prefix-numeric-value zflag) 0))
1055                             (not zold)) "z" "")))
1056     (calc-graph-set-command "logscale" (if (not (equal str "")) str))))
1057
1058 (defun calc-graph-line-style (style)
1059   (interactive "P")
1060   (calc-graph-set-styles (and style (prefix-numeric-value style)) t))
1061
1062 (defun calc-graph-point-style (style)
1063   (interactive "P")
1064   (calc-graph-set-styles t (and style (prefix-numeric-value style))))
1065
1066 (defun calc-graph-set-styles (lines points &optional yerr)
1067   (calc-graph-init)
1068   (with-current-buffer calc-gnuplot-input
1069     (or (calc-graph-find-plot nil nil)
1070         (error "No data points have been set!"))
1071     (let ((base (point))
1072           (mode nil) (lstyle nil) (pstyle nil)
1073           start end lenbl penbl errform)
1074       (re-search-forward "[,\n]")
1075       (forward-char -1)
1076       (setq end (point) start end)
1077       (goto-char base)
1078       (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+with\\)")
1079           (progn
1080             (setq start (match-beginning 1))
1081             (goto-char (match-end 0))
1082             (if (looking-at "[ \t]+\\([a-z]+\\)")
1083                 (setq mode (buffer-substring (match-beginning 1)
1084                                              (match-end 1))))
1085             (if (looking-at "[ \ta-z]+\\([0-9]+\\)")
1086                 (setq lstyle (string-to-number
1087                               (buffer-substring (match-beginning 1)
1088                                                 (match-end 1)))))
1089             (if (looking-at "[ \ta-z]+[0-9]+[ \t]+\\([0-9]+\\)")
1090                 (setq pstyle (string-to-number
1091                               (buffer-substring (match-beginning 1)
1092                                                 (match-end 1)))))))
1093       (unless yerr
1094         (setq lenbl (or (equal mode "lines")
1095                         (equal mode "linespoints"))
1096               penbl (or (equal mode "points")
1097                         (equal mode "linespoints")))
1098         (if lines
1099             (or (eq lines t)
1100                 (setq lstyle lines
1101                       lenbl (>= lines 0)))
1102           (setq lenbl (not lenbl)))
1103         (if points
1104             (or (eq points t)
1105                 (setq pstyle points
1106                       penbl (>= points 0)))
1107           (setq penbl (not penbl))))
1108         (delete-region start end)
1109       (goto-char start)
1110       (setq errform
1111             (condition-case nil
1112                 (math-contains-sdev-p
1113                  (eval (intern
1114                         (concat "var-"
1115                                 (save-excursion
1116                                   (re-search-backward ":\\(.*\\)\\}")
1117                                   (match-string 1))))))
1118               (error nil)))
1119       (if yerr
1120           (insert " with yerrorbars")
1121         (insert " with "
1122                 (if (and errform
1123                          (equal mode "dots")
1124                          (eq lines t))
1125                     "yerrorbars"
1126                   (if lenbl
1127                       (if penbl "linespoints" "lines")
1128                     (if penbl "points" "dots"))))
1129         (if (and pstyle (> pstyle 0))
1130             (insert " "
1131                     (if (and lstyle (> lstyle 0)) (int-to-string lstyle) "1")
1132                     " " (int-to-string pstyle))
1133           (if (and lstyle (> lstyle 0))
1134               (insert " " (int-to-string lstyle)))))))
1135   (calc-graph-view-commands))
1136
1137 (defun calc-graph-zero-x (flag)
1138   (interactive "P")
1139   (calc-graph-set-command "noxzeroaxis"
1140                           (and (if flag
1141                                    (<= (prefix-numeric-value flag) 0)
1142                                  (not (calc-graph-find-command "noxzeroaxis")))
1143                                " ")))
1144
1145 (defun calc-graph-zero-y (flag)
1146   (interactive "P")
1147   (calc-graph-set-command "noyzeroaxis"
1148                           (and (if flag
1149                                    (<= (prefix-numeric-value flag) 0)
1150                                  (not (calc-graph-find-command "noyzeroaxis")))
1151                                " ")))
1152
1153 (defun calc-graph-name (name)
1154   (interactive "sTitle for current curve: ")
1155   (calc-graph-init)
1156   (with-current-buffer calc-gnuplot-input
1157     (or (calc-graph-find-plot nil nil)
1158         (error "No data points have been set!"))
1159     (let ((base (point))
1160           start
1161           end)
1162       (re-search-forward "[,\n]\\|[ \t]+with")
1163       (setq end (match-beginning 0))
1164       (goto-char base)
1165       (if (looking-at "[^,\n]*[^,\n \t]\\([ \t]+title\\)")
1166           (progn
1167             (goto-char (match-beginning 1))
1168             (delete-region (point) end))
1169         (goto-char end))
1170       (insert " title " (prin1-to-string name))))
1171   (calc-graph-view-commands))
1172
1173 (defun calc-graph-hide (flag)
1174   (interactive "P")
1175   (calc-graph-init)
1176   (and (calc-graph-find-plot nil nil)
1177        (progn
1178          (or (looking-at "{")
1179              (error "Can't hide this curve (wrong format)"))
1180          (forward-char 1)
1181          (if (looking-at "*")
1182              (if (or (null flag) (<= (prefix-numeric-value flag) 0))
1183                  (delete-char 1))
1184            (if (or (null flag) (> (prefix-numeric-value flag) 0))
1185                (insert "*"))))))
1186
1187 (defun calc-graph-header (title)
1188   (interactive "sTitle for entire graph: ")
1189   (calc-graph-set-command "title" (if (not (equal title ""))
1190                                       (prin1-to-string title))))
1191
1192 (defun calc-graph-border (flag)
1193   (interactive "P")
1194   (calc-graph-set-command "noborder"
1195                           (and (if flag
1196                                    (<= (prefix-numeric-value flag) 0)
1197                                  (not (calc-graph-find-command "noborder")))
1198                                " ")))
1199
1200 (defun calc-graph-grid (flag)
1201   (interactive "P")
1202   (calc-graph-set-command "grid" (and (if flag
1203                                           (> (prefix-numeric-value flag) 0)
1204                                         (not (calc-graph-find-command "grid")))
1205                                       " ")))
1206
1207 (defun calc-graph-key (flag)
1208   (interactive "P")
1209   (calc-graph-set-command "key" (and (if flag
1210                                          (> (prefix-numeric-value flag) 0)
1211                                        (not (calc-graph-find-command "key")))
1212                                      " ")))
1213
1214 (defun calc-graph-num-points (res flag)
1215   (interactive "sNumber of data points: \nP")
1216   (if flag
1217       (if (> (prefix-numeric-value flag) 0)
1218           (if (equal res "")
1219               (message "Default resolution is %d"
1220                        calc-graph-default-resolution)
1221             (setq calc-graph-default-resolution (string-to-number res)))
1222         (if (equal res "")
1223             (message "Default 3D resolution is %d"
1224                      calc-graph-default-resolution-3d)
1225           (setq calc-graph-default-resolution-3d (string-to-number res))))
1226     (calc-graph-set-command "samples" (if (not (equal res "")) res))))
1227
1228 (defun calc-graph-device (name flag)
1229   (interactive "sDevice name: \nP")
1230   (if (equal name "?")
1231       (progn
1232         (calc-gnuplot-command "set terminal")
1233         (calc-graph-view-trail))
1234     (if flag
1235         (if (> (prefix-numeric-value flag) 0)
1236             (if (equal name "")
1237                 (message "Default GNUPLOT device is \"%s\""
1238                          calc-gnuplot-default-device)
1239               (setq calc-gnuplot-default-device name))
1240           (if (equal name "")
1241               (message "GNUPLOT device for Print command is \"%s\""
1242                        calc-gnuplot-print-device)
1243             (setq calc-gnuplot-print-device name)))
1244       (calc-graph-set-command "terminal" (if (not (equal name ""))
1245                                              name)))))
1246
1247 (defun calc-graph-output (name flag)
1248   (interactive "FOutput file name: \np")
1249   (cond ((string-match "\\<[aA][uU][tT][oO]$" name)
1250          (setq name "auto"))
1251         ((string-match "\\<[tT][tT][yY]$" name)
1252          (setq name "tty"))
1253         ((string-match "\\<[sS][tT][dD][oO][uU][tT]$" name)
1254          (setq name "STDOUT"))
1255         ((equal (file-name-nondirectory name) "")
1256          (setq name ""))
1257         (t (setq name (expand-file-name name))))
1258   (if flag
1259       (if (> (prefix-numeric-value flag) 0)
1260           (if (equal name "")
1261               (message "Default GNUPLOT output file is \"%s\""
1262                        calc-gnuplot-default-output)
1263             (setq calc-gnuplot-default-output name))
1264         (if (equal name "")
1265             (message "GNUPLOT output file for Print command is \"%s\""
1266                      calc-gnuplot-print-output)
1267           (setq calc-gnuplot-print-output name)))
1268     (calc-graph-set-command "output" (if (not (equal name ""))
1269                                          (prin1-to-string name)))))
1270
1271 (defun calc-graph-display (name)
1272   (interactive "sX display name: ")
1273   (if (equal name "")
1274       (message "Current X display is \"%s\""
1275                (or calc-gnuplot-display "<none>"))
1276     (setq calc-gnuplot-display name)
1277     (if (calc-gnuplot-alive)
1278         (calc-gnuplot-command "exit"))))
1279
1280 (defun calc-graph-geometry (name)
1281   (interactive "sX geometry spec (or \"default\"): ")
1282   (if (equal name "")
1283       (message "Current X geometry is \"%s\""
1284                (or calc-gnuplot-geometry "default"))
1285     (setq calc-gnuplot-geometry (and (not (equal name "default")) name))
1286     (if (calc-gnuplot-alive)
1287         (calc-gnuplot-command "exit"))))
1288
1289 (defun calc-graph-find-command (cmd)
1290   (calc-graph-init)
1291   (with-current-buffer calc-gnuplot-input
1292     (goto-char (point-min))
1293     (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t]*\\(.*\\)$") nil t)
1294         (buffer-substring (match-beginning 1) (match-end 1)))))
1295
1296 (defun calc-graph-set-command (cmd &rest args)
1297   (calc-graph-init)
1298   (with-current-buffer calc-gnuplot-input
1299     (goto-char (point-min))
1300     (if (re-search-forward (concat "^set[ \t]+" cmd "[ \t\n]") nil t)
1301         (progn
1302           (forward-char -1)
1303           (end-of-line)
1304           (let ((end (point)))
1305             (beginning-of-line)
1306             (delete-region (point) (1+ end))))
1307       (if (calc-graph-find-plot t t)
1308           (if (eq (preceding-char) ?\n)
1309               (forward-char -1))
1310         (goto-char (1- (point-max)))))
1311     (if (and args (car args))
1312         (progn
1313           (or (bolp)
1314               (insert "\n"))
1315           (insert "set " (mapconcat 'identity (cons cmd args) " ") "\n"))))
1316   (calc-graph-view-commands))
1317
1318 (defun calc-graph-command (cmd)
1319   (interactive "sGNUPLOT command: ")
1320   (calc-wrapper
1321    (calc-graph-init)
1322    (calc-graph-view-trail)
1323    (calc-gnuplot-command cmd)
1324    (or (string= calc-gnuplot-name "pgnuplot")
1325        (progn
1326          (accept-process-output)
1327          (calc-graph-view-trail)))))
1328
1329 (defun calc-graph-kill (&optional no-view)
1330   (interactive)
1331   (calc-graph-delete-temps)
1332   (if (calc-gnuplot-alive)
1333       (calc-wrapper
1334        (or no-view (calc-graph-view-trail))
1335        (let ((calc-graph-no-wait t))
1336          (calc-gnuplot-command "exit"))
1337        (sit-for 1)
1338        (if (process-status calc-gnuplot-process)
1339            (delete-process calc-gnuplot-process))
1340        (setq calc-gnuplot-process nil))))
1341
1342 (defun calc-graph-quit ()
1343   (interactive)
1344   (if (get-buffer-window calc-gnuplot-input)
1345       (calc-graph-view-commands t))
1346   (if (get-buffer-window calc-gnuplot-buffer)
1347       (calc-graph-view-trail t))
1348   (calc-graph-kill t))
1349
1350 (defun calc-graph-view-commands (&optional no-need)
1351   (interactive "p")
1352   (or calc-graph-no-auto-view (calc-graph-init-buffers))
1353   (calc-graph-view calc-gnuplot-input calc-gnuplot-buffer (null no-need)))
1354
1355 (defun calc-graph-view-trail (&optional no-need)
1356   (interactive "p")
1357   (or calc-graph-no-auto-view (calc-graph-init-buffers))
1358   (calc-graph-view calc-gnuplot-buffer calc-gnuplot-input (null no-need)))
1359
1360 (defun calc-graph-view (buf other-buf need)
1361   (let (win)
1362     (or calc-graph-no-auto-view
1363         (if (setq win (get-buffer-window buf))
1364             (or need
1365                 (and (eq buf calc-gnuplot-buffer)
1366                      (with-current-buffer buf
1367                        (not (pos-visible-in-window-p (point-max) win))))
1368                 (progn
1369                   (bury-buffer buf)
1370                   (bury-buffer other-buf)
1371                   (let ((curwin (selected-window)))
1372                     (select-window win)
1373                     (switch-to-buffer nil)
1374                     (select-window curwin))))
1375           (if (setq win (get-buffer-window other-buf))
1376               (set-window-buffer win buf)
1377             (if (eq major-mode 'calc-mode)
1378                 (if (or need
1379                         (not (window-full-height-p)))
1380                     (display-buffer buf))
1381               (switch-to-buffer buf)))))
1382     (with-current-buffer buf
1383       (if (and (eq buf calc-gnuplot-buffer)
1384                (setq win (get-buffer-window buf))
1385                (not (pos-visible-in-window-p (point-max) win)))
1386           (progn
1387             (goto-char (point-max))
1388             (vertical-motion (- 6 (window-height win)))
1389             (set-window-start win (point))
1390             (goto-char (point-max)))))
1391     (or calc-graph-no-auto-view (sit-for 0))))
1392
1393 (defun calc-gnuplot-check-for-errors ()
1394   (if (save-excursion
1395         (prog2
1396          (progn
1397            (set-buffer calc-gnuplot-buffer)
1398            (goto-char calc-gnuplot-last-error-pos))
1399          (re-search-forward "^[ \t]+\\^$" nil t)
1400          (goto-char (point-max))
1401          (setq calc-gnuplot-last-error-pos (point-max))))
1402       (calc-graph-view-trail)))
1403
1404 (defun calc-gnuplot-command (&rest args)
1405   (calc-graph-init)
1406   (let ((cmd (concat (mapconcat 'identity args " ") "\n")))
1407     (or (string= calc-gnuplot-name "pgnuplot")
1408         (accept-process-output))
1409     (with-current-buffer calc-gnuplot-buffer
1410       (calc-gnuplot-check-for-errors)
1411       (goto-char (point-max))
1412       (setq calc-gnuplot-trail-mark (point))
1413       (or (>= calc-gnuplot-version 3)
1414           (insert cmd))
1415       (set-marker (process-mark calc-gnuplot-process) (point))
1416       (process-send-string calc-gnuplot-process cmd)
1417       (if (get-buffer-window calc-gnuplot-buffer)
1418           (calc-graph-view-trail))
1419       (or (string= calc-gnuplot-name "pgnuplot")
1420           (accept-process-output (and (not calc-graph-no-wait)
1421                                       calc-gnuplot-process)))
1422       (calc-gnuplot-check-for-errors)
1423       (if (get-buffer-window calc-gnuplot-buffer)
1424           (calc-graph-view-trail)))))
1425
1426 (defun calc-graph-init-buffers ()
1427   (or (and calc-gnuplot-buffer
1428            (buffer-name calc-gnuplot-buffer))
1429       (setq calc-gnuplot-buffer (get-buffer-create "*Gnuplot Trail*")))
1430   (or (and calc-gnuplot-input
1431            (buffer-name calc-gnuplot-input))
1432       (setq calc-gnuplot-input (get-buffer-create "*Gnuplot Commands*"))))
1433
1434 (defun calc-graph-init ()
1435   (or (calc-gnuplot-alive)
1436       (let ((process-connection-type t)
1437             origin)
1438         (if calc-gnuplot-process
1439             (progn
1440               (delete-process calc-gnuplot-process)
1441               (setq calc-gnuplot-process nil)))
1442         (calc-graph-init-buffers)
1443         (with-current-buffer calc-gnuplot-buffer
1444           (insert "\nStarting gnuplot...\n")
1445           (setq origin (point)))
1446         (setq calc-graph-last-device nil)
1447         (setq calc-graph-last-output nil)
1448         (if (string= calc-gnuplot-name "pgnuplot")
1449             (let ((version-str (shell-command-to-string "pgnuplot -V")))
1450               (if (string-match "gnuplot \\([0-9]+\\)\\." version-str)
1451                   (setq calc-gnuplot-version (string-to-number
1452                                               (substring version-str
1453                                                          (match-beginning 1)
1454                                                          (match-end 1))))
1455                 (setq calc-gnuplot-version 1))))
1456         (condition-case err
1457             (let ((args (append (and calc-gnuplot-display
1458                                      (not (equal calc-gnuplot-display
1459                                                  (getenv "DISPLAY")))
1460                                      (not (string= calc-gnuplot-name "pgnuplot"))
1461                                      (list "-display"
1462                                            calc-gnuplot-display))
1463                                 (and calc-gnuplot-geometry
1464                                      (not (string= calc-gnuplot-name "pgnuplot"))
1465                                      (list "-geometry"
1466                                            calc-gnuplot-geometry)))))
1467               (setq calc-gnuplot-process
1468                     (apply 'start-process
1469                            "gnuplot"
1470                            calc-gnuplot-buffer
1471                            calc-gnuplot-name
1472                            args))
1473               (set-process-query-on-exit-flag calc-gnuplot-process nil))
1474           (file-error
1475            (error "Sorry, can't find \"%s\" on your system"
1476                   calc-gnuplot-name)))
1477         (with-current-buffer calc-gnuplot-buffer
1478           (while (and (not (string= calc-gnuplot-name "pgnuplot"))
1479                       (not (save-excursion
1480                              (goto-char origin)
1481                              (search-forward "gnuplot> " nil t)))
1482                       (memq (process-status calc-gnuplot-process) '(run stop)))
1483             (accept-process-output calc-gnuplot-process))
1484           (or (memq (process-status calc-gnuplot-process) '(run stop))
1485               (error "Unable to start GNUPLOT process"))
1486           (if (not (string= calc-gnuplot-name "pgnuplot"))
1487               (if (save-excursion
1488                     (goto-char origin)
1489                     (re-search-forward
1490                      "G N U P L O T.*\n.*version \\([0-9]+\\)\\." nil t))
1491                   (setq calc-gnuplot-version
1492                         (string-to-number (buffer-substring
1493                                            (match-beginning 1)
1494                                            (match-end 1))))
1495                 (setq calc-gnuplot-version 1)))
1496           (goto-char (point-max)))))
1497   (with-current-buffer calc-gnuplot-input
1498     (if (= (buffer-size) 0)
1499         (insert "# Commands for running gnuplot\n\n\n")
1500       (or calc-graph-no-auto-view
1501           (eq (char-after (1- (point-max))) ?\n)
1502           (progn
1503             (goto-char (point-max))
1504             (insert "\n"))))))
1505
1506 (provide 'calc-graph)
1507
1508 ;;; calc-graph.el ends here