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calc-graph.el
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;;; calc-graph.el --- graph output functions for Calc
;; Copyright (C) 1990-1993, 2001-2020 Free Software Foundation, Inc.
;; Author: David Gillespie <[email protected]>
;; This file is part of GNU Emacs.
;; GNU Emacs is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;; GNU Emacs is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;; You should have received a copy of the GNU General Public License
;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
;;; Commentary:
;;; Code:
;; This file is autoloaded from calc-ext.el.
(require 'calc-ext)
(require 'calc-macs)
;;; Graphics
;; The following three variables are customizable and defined in calc.el.
(defvar calc-gnuplot-name)
(defvar calc-gnuplot-plot-command)
(defvar calc-gnuplot-print-command)
(defvar calc-gnuplot-tempfile "calc")
(defvar calc-gnuplot-default-device)
(defvar calc-gnuplot-default-output)
(defvar calc-gnuplot-print-device)
(defvar calc-gnuplot-print-output)
(defvar calc-gnuplot-keep-outfile nil)
(defvar calc-gnuplot-version nil)
(defvar calc-gnuplot-display (getenv "DISPLAY"))
(defvar calc-gnuplot-geometry)
(defvar calc-graph-default-resolution)
(defvar calc-graph-default-resolution-3d)
(defvar calc-graph-default-precision 5)
(defvar calc-gnuplot-buffer nil)
(defvar calc-gnuplot-input nil)
(defvar calc-gnuplot-last-error-pos 1)
(defvar calc-graph-last-device nil)
(defvar calc-graph-last-output nil)
(defvar calc-graph-file-cache nil)
(defvar calc-graph-var-cache nil)
(defvar calc-graph-data-cache nil)
(defvar calc-graph-data-cache-limit 10)
(defvar calc-graph-no-auto-view nil)
(defvar calc-graph-no-wait nil)
(defvar calc-gnuplot-trail-mark)
(defsubst calc-graph-w32-p ()
(eq system-type 'windows-nt))
(defun calc-graph-fast (many)
(interactive "P")
(let ((calc-graph-no-auto-view t))
(calc-graph-delete t)
(calc-graph-add many)
(calc-graph-plot nil)))
(defun calc-graph-fast-3d (many)
(interactive "P")
(let ((calc-graph-no-auto-view t))
(calc-graph-delete t)
(calc-graph-add-3d many)
(calc-graph-plot nil)))
(defun calc-graph-delete (all)
(interactive "P")
(calc-wrapper
(calc-graph-init)
(with-current-buffer calc-gnuplot-input
(and (calc-graph-find-plot t all)
(progn
(if (looking-at "s?plot")
(progn
(setq calc-graph-var-cache nil)
(delete-region (point) (point-max)))
(delete-region (point) (1- (point-max)))))))
(calc-graph-view-commands)))
(defun calc-graph-find-plot (&optional before all)
(goto-char (point-min))
(and (re-search-forward "^s?plot[ \t]+" nil t)
(let ((beg (point)))
(goto-char (point-max))
(if (or all
(not (search-backward "," nil t))
(< (point) beg))
(progn
(goto-char beg)
(if before
(beginning-of-line)))
(or before
(re-search-forward ",[ \t]+")))
t)))
(defun calc-graph-add (many)
(interactive "P")
(calc-wrapper
(calc-graph-init)
(cond ((null many)
(calc-graph-add-curve (calc-graph-lookup (calc-top-n 2))
(calc-graph-lookup (calc-top-n 1))))
((or (consp many) (eq many 0))
(let ((xdata (calc-graph-lookup (calc-top-n 2)))
(ylist (calc-top-n 1)))
(or (eq (car-safe ylist) 'vec)
(error "Y argument must be a vector"))
(while (setq ylist (cdr ylist))
(calc-graph-add-curve xdata (calc-graph-lookup (car ylist))))))
((> (setq many (prefix-numeric-value many)) 0)
(let ((xdata (calc-graph-lookup (calc-top-n (1+ many)))))
(while (> many 0)
(calc-graph-add-curve xdata
(calc-graph-lookup (calc-top-n many)))
(setq many (1- many)))))
(t
(let (pair)
(setq many (- many))
(while (> many 0)
(setq pair (calc-top-n many))
(or (and (eq (car-safe pair) 'vec)
(= (length pair) 3))
(error "Argument must be an [x,y] vector"))
(calc-graph-add-curve (calc-graph-lookup (nth 1 pair))
(calc-graph-lookup (nth 2 pair)))
(setq many (1- many))))))
(calc-graph-view-commands)))
(defun calc-graph-add-3d (many)
(interactive "P")
(calc-wrapper
(calc-graph-init)
(cond ((null many)
(calc-graph-add-curve (calc-graph-lookup (calc-top-n 3))
(calc-graph-lookup (calc-top-n 2))
(calc-graph-lookup (calc-top-n 1))))
((or (consp many) (eq many 0))
(let ((xdata (calc-graph-lookup (calc-top-n 3)))
(ydata (calc-graph-lookup (calc-top-n 2)))
(zlist (calc-top-n 1)))
(or (eq (car-safe zlist) 'vec)
(error "Z argument must be a vector"))
(while (setq zlist (cdr zlist))
(calc-graph-add-curve xdata ydata
(calc-graph-lookup (car zlist))))))
((> (setq many (prefix-numeric-value many)) 0)
(let ((xdata (calc-graph-lookup (calc-top-n (+ many 2))))
(ydata (calc-graph-lookup (calc-top-n (+ many 1)))))
(while (> many 0)
(calc-graph-add-curve xdata ydata
(calc-graph-lookup (calc-top-n many)))
(setq many (1- many)))))
(t
(let (curve)
(setq many (- many))
(while (> many 0)
(setq curve (calc-top-n many))
(or (and (eq (car-safe curve) 'vec)
(= (length curve) 4))
(error "Argument must be an [x,y,z] vector"))
(calc-graph-add-curve (calc-graph-lookup (nth 1 curve))
(calc-graph-lookup (nth 2 curve))
(calc-graph-lookup (nth 3 curve)))
(setq many (1- many))))))
(calc-graph-view-commands)))
(defun calc-graph-add-curve (xdata ydata &optional zdata)
(let ((num (calc-graph-count-curves))
(pstyle (calc-var-value 'var-PointStyles))
(lstyle (calc-var-value 'var-LineStyles)))
(with-current-buffer calc-gnuplot-input
(goto-char (point-min))
(if (re-search-forward (if zdata "^plot[ \t]" "^splot[ \t]")
nil t)
(error "Can't mix 2d and 3d curves on one graph"))
(if (re-search-forward "^s?plot[ \t]" nil t)
(progn
(end-of-line)
(insert ", "))
(goto-char (point-max))
(or (eq (preceding-char) ?\n)
(insert "\n"))
(insert (if zdata "splot" "plot") " \n")
(forward-char -1))
(insert "{" (symbol-name (nth 1 xdata))
":" (symbol-name (nth 1 ydata)))
(if zdata
(insert ":" (symbol-name (nth 1 zdata))))
(insert "} "
"title \"" (symbol-name (nth 1 ydata)) "\" "
"with dots")
(setq pstyle (and (eq (car-safe pstyle) 'vec) (nth (1+ num) pstyle)))
(setq lstyle (and (eq (car-safe lstyle) 'vec) (nth (1+ num) lstyle))))
(calc-graph-set-styles
(or (and (Math-num-integerp lstyle) (math-trunc lstyle))
0)
(or (and (Math-num-integerp pstyle) (math-trunc pstyle))
(if (eq (car-safe (calc-var-value (nth 2 ydata))) 'vec)
0 -1))
(math-contains-sdev-p (eval (nth 2 ydata))))))
(defun calc-graph-lookup (thing)
(if (and (eq (car-safe thing) 'var)
(calc-var-value (nth 2 thing)))
thing
(let ((found (assoc thing calc-graph-var-cache)))
(or found
(let ((varname (concat "PlotData"
(int-to-string
(1+ (length calc-graph-var-cache)))))
var)
(setq var (list 'var (intern varname)
(intern (concat "var-" varname)))
found (cons thing var)
calc-graph-var-cache (cons found calc-graph-var-cache))
(set (nth 2 var) thing)))
(cdr found))))
(defun calc-graph-juggle (arg)
(interactive "p")
(calc-graph-init)
(with-current-buffer calc-gnuplot-input
(if (< arg 0)
(let ((num (calc-graph-count-curves)))
(if (> num 0)
(while (< arg 0)
(setq arg (+ arg num))))))
(while (>= (setq arg (1- arg)) 0)
(calc-graph-do-juggle))))
(defun calc-graph-count-curves ()
(with-current-buffer calc-gnuplot-input
(if (re-search-forward "^s?plot[ \t]" nil t)
(let ((num 1))
(goto-char (point-min))
(while (search-forward "," nil t)
(setq num (1+ num)))
num)
0)))
(defun calc-graph-do-juggle ()
(let (base)
(and (calc-graph-find-plot t t)
(progn
(setq base (point))
(calc-graph-find-plot t nil)
(or (eq base (point))
(let ((str (buffer-substring (+ (point) 2) (1- (point-max)))))
(delete-region (point) (1- (point-max)))
(goto-char (+ base 5))
(insert str ", ")))))))
(defun calc-graph-print (flag)
(interactive "P")
(calc-graph-plot flag t))
(defvar var-DUMMY)
(defvar var-DUMMY2)
(defvar var-PlotRejects)
;; The following variables are local to calc-graph-plot, but are
;; used in the functions calc-graph-compute-2d, calc-graph-refine-2d,
;; calc-graph-recompute-2d, calc-graph-compute-3d and
;; calc-graph-format-data, which are called by calc-graph-plot.
(defvar calc-graph-yvalue)
(defvar calc-graph-yvec)
(defvar calc-graph-numsteps)
(defvar calc-graph-numsteps3)
(defvar calc-graph-xvalue)
(defvar calc-graph-xvec)
(defvar calc-graph-xname)
(defvar calc-graph-yname)
(defvar calc-graph-xstep)
(defvar calc-graph-ycache)
(defvar calc-graph-ycacheptr)
(defvar calc-graph-refine)
(defvar calc-graph-keep-file)
(defvar calc-graph-xval)
(defvar calc-graph-xlow)
(defvar calc-graph-xhigh)
(defvar calc-graph-yval)
(defvar calc-graph-yp)
(defvar calc-graph-xp)
(defvar calc-graph-zp)
(defvar calc-graph-yvector)
(defvar calc-graph-resolution)
(defvar calc-graph-y3value)
(defvar calc-graph-y3name)
(defvar calc-graph-y3step)
(defvar calc-graph-zval)
(defvar calc-graph-stepcount)
(defvar calc-graph-is-splot)
(defvar calc-graph-surprise-splot)
(defvar calc-graph-blank)
(defvar calc-graph-non-blank)
(defvar calc-graph-curve-num)
(defun calc-graph-plot (flag &optional printing)
(interactive "P")
(calc-slow-wrapper
(let ((calcbuf (current-buffer))
(tempbuf (get-buffer-create "*Gnuplot Temp-2*"))
(tempbuftop 1)
(tempoutfile nil)
(calc-graph-curve-num 0)
(calc-graph-refine (and flag (> (prefix-numeric-value flag) 0)))
(recompute (and flag (< (prefix-numeric-value flag) 0)))
(calc-graph-surprise-splot nil)
(tty-output nil)
cache-env calc-graph-is-splot device output calc-graph-resolution precision samples-pos)
(add-hook 'kill-emacs-hook 'calc-graph-kill-hook)
(save-excursion
(calc-graph-init)
(set-buffer tempbuf)
(erase-buffer)
(set-buffer calc-gnuplot-input)
(goto-char (point-min))
(setq calc-graph-is-splot (re-search-forward "^splot[ \t]" nil t))
(let ((str (buffer-string))
(ver calc-gnuplot-version))
(set-buffer (get-buffer-create "*Gnuplot Temp*"))
(erase-buffer)
(insert "# (Note: This is a temporary copy---do not edit!)\n")
(if (>= ver 2)
(insert "set noarrow\nset nolabel\n"
"set autoscale xy\nset nologscale xy\n"
"set xlabel\nset ylabel\nset title\n"
"set noclip points\nset clip one\nset clip two\n"
"set format \"%g\"\nset tics\nset xtics\nset ytics\n"
"set style data linespoints\n"
"set nogrid\nset nokey\nset nopolar\n"))
(if (>= ver 3)
(insert "set surface\nset nocontour\n"
"set " (if calc-graph-is-splot "" "no") "parametric\n"
"set notime\nset border\nset ztics\nset zeroaxis\n"
"set view 60,30,1,1\nset offsets 0,0,0,0\n"))
(setq samples-pos (point))
(insert "\n\n" str))
(goto-char (point-min))
(if calc-graph-is-splot
(if calc-graph-refine
(error "This option works only for 2d plots")
(setq recompute t)))
(let ((calc-gnuplot-input (current-buffer))
(calc-graph-no-auto-view t))
(if printing
(setq device calc-gnuplot-print-device
output calc-gnuplot-print-output)
(setq device (calc-graph-find-command "terminal")
output (calc-graph-find-command "output"))
(or device
(setq device calc-gnuplot-default-device))
(if output
(setq output (car (read-from-string output)))
(setq output calc-gnuplot-default-output)))
(if (or (equal device "") (equal device "default"))
(setq device
(cond
(printing "postscript")
;; Check MS-Windows before X, in case they have
;; $DISPLAY set for some reason (e.g., Cygwin or
;; whatever)
((string= calc-gnuplot-name "pgnuplot")
"windows")
;; Versions of gnuplot that come without pgnuplot
;; only work on MS-Windows with "qt" as the
;; terminal, for some reason.
((calc-graph-w32-p)
"qt")
((or (eq window-system 'x) (getenv "DISPLAY"))
"x11")
((>= calc-gnuplot-version 3)
"dumb")
(t "postscript"))))
(if (equal device "dumb")
(setq device (format "dumb %d %d"
(1- (frame-width)) (1- (frame-height)))))
(if (equal device "big")
(setq device (format "dumb %d %d"
(* 4 (- (frame-width) 3))
(* 4 (- (frame-height) 3)))))
(if (stringp output)
(if (or (equal output "auto")
(and (equal output "tty") (setq tty-output t)))
(setq tempoutfile (calc-temp-file-name -1)
output tempoutfile))
(setq output (eval output)))
(or (equal device calc-graph-last-device)
(progn
(setq calc-graph-last-device device)
(calc-gnuplot-command "set terminal" device)))
(or (equal output calc-graph-last-output)
(progn
(setq calc-graph-last-output output)
(calc-gnuplot-command "set output"
(if (equal output "STDOUT")
""
(prin1-to-string output)))))
(setq calc-graph-resolution (calc-graph-find-command "samples"))
(if calc-graph-resolution
(setq calc-graph-resolution (string-to-number calc-graph-resolution))
(setq calc-graph-resolution (if calc-graph-is-splot
calc-graph-default-resolution-3d
calc-graph-default-resolution)))
(setq precision (calc-graph-find-command "precision"))
(if precision
(setq precision (string-to-number precision))
(setq precision calc-graph-default-precision))
(calc-graph-set-command "terminal")
(calc-graph-set-command "output")
(calc-graph-set-command "samples")
(calc-graph-set-command "precision"))
(goto-char samples-pos)
(insert "set samples " (int-to-string (max (if calc-graph-is-splot 20 200)
(+ 5 calc-graph-resolution))) "\n")
(while (re-search-forward "{\\*[^}]+}[^,\n]*" nil t)
(delete-region (match-beginning 0) (match-end 0))
(if (looking-at ",")
(delete-char 1)
(while (memq (preceding-char) '(?\s ?\t))
(forward-char -1))
(if (eq (preceding-char) ?\,)
(delete-char -1))))
(with-current-buffer calcbuf
(setq cache-env (list calc-angle-mode
calc-complex-mode
calc-simplify-mode
calc-infinite-mode
calc-word-size
precision calc-graph-is-splot))
(if (and (not recompute)
(equal (cdr (car calc-graph-data-cache)) cache-env))
(while (> (length calc-graph-data-cache)
calc-graph-data-cache-limit)
(setcdr calc-graph-data-cache
(cdr (cdr calc-graph-data-cache))))
(setq calc-graph-data-cache (list (cons nil cache-env)))))
(calc-graph-find-plot t t)
(while (re-search-forward
(if calc-graph-is-splot
"{\\([^{}:\n]+\\):\\([^{}:\n]+\\):\\([^{}:\n]+\\)}"
"{\\([^{}:\n]+\\)\\(:\\)\\([^{}:\n]+\\)}")
nil t)
(setq calc-graph-curve-num (1+ calc-graph-curve-num))
(let* ((calc-graph-xname (buffer-substring (match-beginning 1) (match-end 1)))
(xvar (intern (concat "var-" calc-graph-xname)))
(calc-graph-xvalue (math-evaluate-expr (calc-var-value xvar)))
(calc-graph-y3name (and calc-graph-is-splot
(buffer-substring (match-beginning 2)
(match-end 2))))
(y3var (and calc-graph-is-splot (intern (concat "var-" calc-graph-y3name))))
(calc-graph-y3value (and calc-graph-is-splot (calc-var-value y3var)))
(calc-graph-yname (buffer-substring (match-beginning 3) (match-end 3)))
(yvar (intern (concat "var-" calc-graph-yname)))
(calc-graph-yvalue (calc-var-value yvar))
filename)
(delete-region (match-beginning 0) (match-end 0))
(setq filename (calc-temp-file-name calc-graph-curve-num))
(with-current-buffer calcbuf
(let (tempbuftop
(calc-graph-xp calc-graph-xvalue)
(calc-graph-yp calc-graph-yvalue)
(calc-graph-zp nil)
(calc-graph-xlow nil) (calc-graph-xhigh nil) (y3low nil) (y3high nil)
calc-graph-xvec calc-graph-xval calc-graph-xstep var-DUMMY
y3val calc-graph-y3step var-DUMMY2 (calc-graph-zval nil)
calc-graph-yvec calc-graph-yval calc-graph-ycache calc-graph-ycacheptr calc-graph-yvector
calc-graph-numsteps calc-graph-numsteps3
(calc-graph-keep-file (and (not calc-graph-is-splot) (file-exists-p filename)))
(calc-graph-stepcount 0)
(calc-symbolic-mode nil)
(calc-prefer-frac nil)
(calc-internal-prec (max 3 precision))
(calc-simplify-mode (and (not (memq calc-simplify-mode
'(none num)))
calc-simplify-mode))
(calc-graph-blank t)
(calc-graph-non-blank nil)
(math-working-step 0)
(math-working-step-2 nil))
(save-excursion
(if calc-graph-is-splot
(calc-graph-compute-3d)
(calc-graph-compute-2d))
(set-buffer tempbuf)
(goto-char (point-max))
(insert "\n" calc-graph-xname)
(if calc-graph-is-splot
(insert ":" calc-graph-y3name))
(insert ":" calc-graph-yname "\n\n")
(setq tempbuftop (point))
(let ((calc-group-digits nil)
(calc-leading-zeros nil)
(calc-number-radix 10)
(calc-twos-complement-mode nil)
(entry (and (not calc-graph-is-splot)
(list calc-graph-xp calc-graph-yp calc-graph-xhigh calc-graph-numsteps))))
(or (equal entry
(nth 1 (nth (1+ calc-graph-curve-num)
calc-graph-file-cache)))
(setq calc-graph-keep-file nil))
(setcar (cdr (nth (1+ calc-graph-curve-num) calc-graph-file-cache))
entry)
(or calc-graph-keep-file
(calc-graph-format-data)))
(or calc-graph-keep-file
(progn
(or calc-graph-non-blank
(error "No valid data points for %s:%s"
calc-graph-xname calc-graph-yname))
(write-region tempbuftop (point-max) filename
nil 'quiet))))))
(insert (prin1-to-string filename))))
(if calc-graph-surprise-splot
(setcdr cache-env nil))
(if (= calc-graph-curve-num 0)
(progn
(calc-gnuplot-command "clear")
(calc-clear-command-flag 'clear-message)
(message "No data to plot!"))
(setq calc-graph-data-cache-limit (max calc-graph-curve-num
calc-graph-data-cache-limit))
(let ((filename (calc-temp-file-name 0)))
(write-region (point-min) (point-max) filename nil 'quiet)
(calc-gnuplot-command "load" (prin1-to-string filename)))
(or (equal output "STDOUT")
calc-gnuplot-keep-outfile
(progn ; need to close the output file before printing/plotting
(setq calc-graph-last-output "STDOUT")
(calc-gnuplot-command "set output")))
(let ((command (if printing
calc-gnuplot-print-command
(or calc-gnuplot-plot-command
(and (string-match "^dumb" device)
'calc-graph-show-dumb)
(and tty-output
'calc-graph-show-tty)))))
(if command
(if (stringp command)
(calc-gnuplot-command
"!" (format command
(or tempoutfile
calc-gnuplot-print-output)))
(if (symbolp command)
(funcall command output)
(eval command))))))))))
(defun calc-graph-compute-2d ()
(if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
(if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
(error "Can't plot an empty vector")
(if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
(or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
(error "%s and %s have different lengths" calc-graph-xname calc-graph-yname))
(if (and (eq (car-safe calc-graph-xvalue) 'intv)
(math-constp calc-graph-xvalue))
(setq calc-graph-xstep (math-div (math-sub (nth 3 calc-graph-xvalue)
(nth 2 calc-graph-xvalue))
(1- calc-graph-numsteps))
calc-graph-xvalue (nth 2 calc-graph-xvalue))
(if (math-realp calc-graph-xvalue)
(setq calc-graph-xstep 1)
(error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname)))))
(or (math-realp calc-graph-yvalue)
(let ((math-arglist nil))
(setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
(calc-default-formula-arglist calc-graph-yvalue)
(or math-arglist
(error "%s does not contain any unassigned variables" calc-graph-yname))
(and (cdr math-arglist)
(error "%s contains more than one variable: %s"
calc-graph-yname math-arglist))
(setq calc-graph-yvalue (math-expr-subst calc-graph-yvalue
(math-build-var-name (car math-arglist))
'(var DUMMY var-DUMMY)))))
(setq calc-graph-ycache (assoc calc-graph-yvalue calc-graph-data-cache))
(delq calc-graph-ycache calc-graph-data-cache)
(nconc calc-graph-data-cache
(list (or calc-graph-ycache (setq calc-graph-ycache (list calc-graph-yvalue)))))
(if (and (not (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec)))
calc-graph-refine (cdr (cdr calc-graph-ycache)))
(calc-graph-refine-2d)
(calc-graph-recompute-2d))))
(defun calc-graph-refine-2d ()
(setq calc-graph-keep-file nil
calc-graph-ycacheptr (cdr calc-graph-ycache))
(if (and (setq calc-graph-xval (calc-graph-find-command "xrange"))
(string-match "\\`\\[\\([0-9.eE+-]*\\):\\([0-9.eE+-]*\\)\\]\\'"
calc-graph-xval))
(let ((b2 (match-beginning 2))
(e2 (match-end 2)))
(setq calc-graph-xlow (math-read-number (substring calc-graph-xval
(match-beginning 1)
(match-end 1)))
calc-graph-xhigh (math-read-number (substring calc-graph-xval b2 e2))))
(if calc-graph-xlow
(while (and (cdr calc-graph-ycacheptr)
(Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xlow))
(setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))))
(setq math-working-step-2 (1- (length calc-graph-ycacheptr)))
(while (and (cdr calc-graph-ycacheptr)
(or (not calc-graph-xhigh)
(Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xhigh)))
(setq var-DUMMY (math-div (math-add (car (car calc-graph-ycacheptr))
(car (nth 1 calc-graph-ycacheptr)))
2)
math-working-step (1+ math-working-step)
calc-graph-yval (math-evaluate-expr calc-graph-yvalue))
(setcdr calc-graph-ycacheptr (cons (cons var-DUMMY calc-graph-yval)
(cdr calc-graph-ycacheptr)))
(setq calc-graph-ycacheptr (cdr (cdr calc-graph-ycacheptr))))
(setq calc-graph-yp calc-graph-ycache
calc-graph-numsteps 1000000))
(defun calc-graph-recompute-2d ()
(setq calc-graph-ycacheptr calc-graph-ycache)
(if calc-graph-xvec
(setq calc-graph-numsteps (1- (length calc-graph-xvalue))
calc-graph-yvector nil)
(if (and (eq (car-safe calc-graph-xvalue) 'intv)
(math-constp calc-graph-xvalue))
(setq calc-graph-numsteps calc-graph-resolution
calc-graph-yp nil
calc-graph-xlow (nth 2 calc-graph-xvalue)
calc-graph-xhigh (nth 3 calc-graph-xvalue)
calc-graph-xstep (math-div (math-sub calc-graph-xhigh calc-graph-xlow)
(1- calc-graph-numsteps))
calc-graph-xvalue (nth 2 calc-graph-xvalue))
(error "%s is not a suitable basis for %s"
calc-graph-xname calc-graph-yname)))
(setq math-working-step-2 calc-graph-numsteps)
(while (>= (setq calc-graph-numsteps (1- calc-graph-numsteps)) 0)
(setq math-working-step (1+ math-working-step))
(if calc-graph-xvec
(progn
(setq calc-graph-xp (cdr calc-graph-xp)
calc-graph-xval (car calc-graph-xp))
(and (not (eq calc-graph-ycacheptr calc-graph-ycache))
(consp (car calc-graph-ycacheptr))
(not (Math-lessp (car (car calc-graph-ycacheptr)) calc-graph-xval))
(setq calc-graph-ycacheptr calc-graph-ycache)))
(if (= calc-graph-numsteps 0)
(setq calc-graph-xval calc-graph-xhigh) ; avoid cumulative roundoff
(setq calc-graph-xval calc-graph-xvalue
calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep))))
(while (and (cdr calc-graph-ycacheptr)
(Math-lessp (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
(setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr)))
(or (and (cdr calc-graph-ycacheptr)
(Math-equal (car (nth 1 calc-graph-ycacheptr)) calc-graph-xval))
(progn
(setq calc-graph-keep-file nil
var-DUMMY calc-graph-xval)
(setcdr calc-graph-ycacheptr (cons (cons calc-graph-xval (math-evaluate-expr calc-graph-yvalue))
(cdr calc-graph-ycacheptr)))))
(setq calc-graph-ycacheptr (cdr calc-graph-ycacheptr))
(if calc-graph-xvec
(setq calc-graph-yvector (cons (cdr (car calc-graph-ycacheptr)) calc-graph-yvector))
(or calc-graph-yp (setq calc-graph-yp calc-graph-ycacheptr))))
(if calc-graph-xvec
(setq calc-graph-xp calc-graph-xvalue
calc-graph-yvec t
calc-graph-yp (cons 'vec (nreverse calc-graph-yvector))
calc-graph-numsteps (1- (length calc-graph-xp)))
(setq calc-graph-numsteps 1000000)))
(defun calc-graph-compute-3d ()
(if (setq calc-graph-yvec (eq (car-safe calc-graph-yvalue) 'vec))
(if (math-matrixp calc-graph-yvalue)
(progn
(setq calc-graph-numsteps (1- (length calc-graph-yvalue))
calc-graph-numsteps3 (1- (length (nth 1 calc-graph-yvalue))))
(if (eq (car-safe calc-graph-xvalue) 'vec)
(or (= (1- (length calc-graph-xvalue)) calc-graph-numsteps)
(error "%s has wrong length" calc-graph-xname))
(if (and (eq (car-safe calc-graph-xvalue) 'intv)
(math-constp calc-graph-xvalue))
(setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps
(nth 2 calc-graph-xvalue)
(math-div
(math-sub (nth 3 calc-graph-xvalue)
(nth 2 calc-graph-xvalue))
(1- calc-graph-numsteps))))
(if (math-realp calc-graph-xvalue)
(setq calc-graph-xvalue (calcFunc-index calc-graph-numsteps calc-graph-xvalue 1))
(error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))))
(if (eq (car-safe calc-graph-y3value) 'vec)
(or (= (1- (length calc-graph-y3value)) calc-graph-numsteps3)
(error "%s has wrong length" calc-graph-y3name))
(if (and (eq (car-safe calc-graph-y3value) 'intv)
(math-constp calc-graph-y3value))
(setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3
(nth 2 calc-graph-y3value)
(math-div
(math-sub (nth 3 calc-graph-y3value)
(nth 2 calc-graph-y3value))
(1- calc-graph-numsteps3))))
(if (math-realp calc-graph-y3value)
(setq calc-graph-y3value (calcFunc-index calc-graph-numsteps3 calc-graph-y3value 1))
(error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))))
(setq calc-graph-xp nil
calc-graph-yp nil
calc-graph-zp nil
calc-graph-xvec t)
(while (setq calc-graph-xvalue (cdr calc-graph-xvalue) calc-graph-yvalue (cdr calc-graph-yvalue))
(setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
calc-graph-zp (nconc calc-graph-zp (cons '(skip)
(copy-sequence (cdr (car calc-graph-yvalue)))))))
(setq calc-graph-numsteps (1- (* calc-graph-numsteps
(1+ calc-graph-numsteps3)))))
(if (= (setq calc-graph-numsteps (1- (length calc-graph-yvalue))) 0)
(error "Can't plot an empty vector"))
(or (and (eq (car-safe calc-graph-xvalue) 'vec)
(= (1- (length calc-graph-xvalue)) calc-graph-numsteps))
(error "%s is not a suitable basis for %s" calc-graph-xname calc-graph-yname))
(or (and (eq (car-safe calc-graph-y3value) 'vec)
(= (1- (length calc-graph-y3value)) calc-graph-numsteps))
(error "%s is not a suitable basis for %s" calc-graph-y3name calc-graph-yname))
(setq calc-graph-xp calc-graph-xvalue
calc-graph-yp calc-graph-y3value
calc-graph-zp calc-graph-yvalue
calc-graph-xvec t))
(or (math-realp calc-graph-yvalue)
(let ((math-arglist nil))
(setq calc-graph-yvalue (math-evaluate-expr calc-graph-yvalue))
(calc-default-formula-arglist calc-graph-yvalue)
(setq math-arglist (sort math-arglist 'string-lessp))
(or (cdr math-arglist)
(error "%s does not contain enough unassigned variables" calc-graph-yname))
(and (cdr (cdr math-arglist))
(error "%s contains too many variables: %s" calc-graph-yname math-arglist))
(setq calc-graph-yvalue (math-multi-subst calc-graph-yvalue
(mapcar 'math-build-var-name
math-arglist)
'((var DUMMY var-DUMMY)
(var DUMMY2 var-DUMMY2))))))
(if (setq calc-graph-xvec (eq (car-safe calc-graph-xvalue) 'vec))
(setq calc-graph-numsteps (1- (length calc-graph-xvalue)))
(if (and (eq (car-safe calc-graph-xvalue) 'intv)
(math-constp calc-graph-xvalue))
(setq calc-graph-numsteps calc-graph-resolution
calc-graph-xvalue (calcFunc-index calc-graph-numsteps
(nth 2 calc-graph-xvalue)
(math-div (math-sub (nth 3 calc-graph-xvalue)
(nth 2 calc-graph-xvalue))
(1- calc-graph-numsteps))))
(error "%s is not a suitable basis for %s"
calc-graph-xname calc-graph-yname)))
(if (eq (car-safe calc-graph-y3value) 'vec)
(setq calc-graph-numsteps3 (1- (length calc-graph-y3value)))
(if (and (eq (car-safe calc-graph-y3value) 'intv)
(math-constp calc-graph-y3value))
(setq calc-graph-numsteps3 calc-graph-resolution
calc-graph-y3value (calcFunc-index calc-graph-numsteps3
(nth 2 calc-graph-y3value)
(math-div (math-sub (nth 3 calc-graph-y3value)
(nth 2 calc-graph-y3value))
(1- calc-graph-numsteps3))))
(error "%s is not a suitable basis for %s"
calc-graph-y3name calc-graph-yname)))
(setq calc-graph-xp nil
calc-graph-yp nil
calc-graph-zp nil
calc-graph-xvec t)
(setq math-working-step 0)
(while (setq calc-graph-xvalue (cdr calc-graph-xvalue))
(setq calc-graph-xp (nconc calc-graph-xp (make-list (1+ calc-graph-numsteps3) (car calc-graph-xvalue)))
calc-graph-yp (nconc calc-graph-yp (cons 0 (copy-sequence (cdr calc-graph-y3value))))
calc-graph-zp (cons '(skip) calc-graph-zp)
calc-graph-y3step calc-graph-y3value
var-DUMMY (car calc-graph-xvalue)
math-working-step-2 0
math-working-step (1+ math-working-step))
(while (setq calc-graph-y3step (cdr calc-graph-y3step))
(setq math-working-step-2 (1+ math-working-step-2)
var-DUMMY2 (car calc-graph-y3step)
calc-graph-zp (cons (math-evaluate-expr calc-graph-yvalue) calc-graph-zp))))
(setq calc-graph-zp (nreverse calc-graph-zp)
calc-graph-numsteps (1- (* calc-graph-numsteps (1+ calc-graph-numsteps3))))))
(defun calc-graph-format-data ()
(if (math-contains-sdev-p calc-graph-yp)
(let ((yp calc-graph-yp))
(setq calc-graph-yp (cons 'vec (mapcar 'math-get-value (cdr yp))))
(setq calc-graph-zp (cons 'vec (mapcar 'math-get-sdev (cdr yp))))))
(while (<= (setq calc-graph-stepcount (1+ calc-graph-stepcount)) calc-graph-numsteps)
(if calc-graph-xvec
(setq calc-graph-xp (cdr calc-graph-xp)
calc-graph-xval (car calc-graph-xp)
calc-graph-yp (cdr calc-graph-yp)
calc-graph-yval (car calc-graph-yp)
calc-graph-zp (cdr calc-graph-zp)
calc-graph-zval (car calc-graph-zp))
(if calc-graph-yvec
(setq calc-graph-xval calc-graph-xvalue
calc-graph-xvalue (math-add calc-graph-xvalue calc-graph-xstep)
calc-graph-yp (cdr calc-graph-yp)
calc-graph-yval (car calc-graph-yp))
(setq calc-graph-xval (car (car calc-graph-yp))
calc-graph-yval (cdr (car calc-graph-yp))
calc-graph-yp (cdr calc-graph-yp))
(if (or (not calc-graph-yp)
(and calc-graph-xhigh (equal calc-graph-xval calc-graph-xhigh)))
(setq calc-graph-numsteps 0))))
(if calc-graph-is-splot
(if (and (eq (car-safe calc-graph-zval) 'calcFunc-xyz)
(= (length calc-graph-zval) 4))
(setq calc-graph-xval (nth 1 calc-graph-zval)
calc-graph-yval (nth 2 calc-graph-zval)
calc-graph-zval (nth 3 calc-graph-zval)))
(if (and (eq (car-safe calc-graph-yval) 'calcFunc-xyz)
(= (length calc-graph-yval) 4))
(progn
(or calc-graph-surprise-splot
(with-current-buffer (get-buffer-create "*Gnuplot Temp*")
(save-excursion
(goto-char (point-max))
(re-search-backward "^plot[ \t]")
(insert "set parametric\ns")
(setq calc-graph-surprise-splot t))))
(setq calc-graph-xval (nth 1 calc-graph-yval)
calc-graph-zval (nth 3 calc-graph-yval)
calc-graph-yval (nth 2 calc-graph-yval)))
(if (and (eq (car-safe calc-graph-yval) 'calcFunc-xy)
(= (length calc-graph-yval) 3))
(setq calc-graph-xval (nth 1 calc-graph-yval)
calc-graph-yval (nth 2 calc-graph-yval)))))
(if (and (Math-realp calc-graph-xval)
(Math-realp calc-graph-yval)
(or (not calc-graph-zval) (Math-realp calc-graph-zval)))
(progn
(setq calc-graph-blank nil
calc-graph-non-blank t)
(if (Math-integerp calc-graph-xval)
(insert (math-format-number calc-graph-xval))
(if (eq (car calc-graph-xval) 'frac)
(setq calc-graph-xval (math-float calc-graph-xval)))
(insert (math-format-number (nth 1 calc-graph-xval))
"e" (int-to-string (nth 2 calc-graph-xval))))
(insert " ")
(if (Math-integerp calc-graph-yval)
(insert (math-format-number calc-graph-yval))
(if (eq (car calc-graph-yval) 'frac)
(setq calc-graph-yval (math-float calc-graph-yval)))
(insert (math-format-number (nth 1 calc-graph-yval))
"e" (int-to-string (nth 2 calc-graph-yval))))
(if calc-graph-zval
(progn
(insert " ")
(if (Math-integerp calc-graph-zval)
(insert (math-format-number calc-graph-zval))
(if (eq (car calc-graph-zval) 'frac)
(setq calc-graph-zval (math-float calc-graph-zval)))
(insert (math-format-number (nth 1 calc-graph-zval))
"e" (int-to-string (nth 2 calc-graph-zval))))))
(insert "\n"))
(and (not (equal calc-graph-zval '(skip)))
(boundp 'var-PlotRejects)
(eq (car-safe var-PlotRejects) 'vec)
(nconc var-PlotRejects
(list (list 'vec
calc-graph-curve-num
calc-graph-stepcount
calc-graph-xval calc-graph-yval)))
(calc-refresh-evaltos 'var-PlotRejects))
(or calc-graph-blank
(progn
(insert "\n")
(setq calc-graph-blank t))))))
(defun calc-temp-file-name (num)
(while (<= (length calc-graph-file-cache) (1+ num))
(setq calc-graph-file-cache (nconc calc-graph-file-cache (list nil))))
(car (or (nth (1+ num) calc-graph-file-cache)
(setcar (nthcdr (1+ num) calc-graph-file-cache)
(list (make-temp-file
(concat calc-gnuplot-tempfile
(if (<= num 0)
(char-to-string (- ?A num))
(int-to-string num))))
nil)))))
(defun calc-graph-delete-temps ()
(while calc-graph-file-cache
(and (car calc-graph-file-cache)
(file-exists-p (car (car calc-graph-file-cache)))
(condition-case err
(delete-file (car (car calc-graph-file-cache)))
(error nil)))
(setq calc-graph-file-cache (cdr calc-graph-file-cache))))
(defun calc-graph-kill-hook ()
(calc-graph-delete-temps))
(defun calc-graph-show-tty (output)
"Default calc-gnuplot-plot-command for \"tty\" output mode.
This is useful for tek40xx and other graphics-terminal types."
(call-process shell-file-name nil calc-gnuplot-buffer nil
shell-command-switch
(format "cat %s >/dev/tty; rm %s" output output)))
(defvar calc-dumb-map nil
"The keymap for the \"dumb\" terminal plot.")
(defun calc-graph-show-dumb (&optional output)
"Default calc-gnuplot-plot-command for Pinard's \"dumb\" terminal type.
This \"dumb\" driver will be present in Gnuplot 3.0."
(interactive)
(save-window-excursion
(switch-to-buffer calc-gnuplot-buffer)
(delete-other-windows)
(goto-char calc-gnuplot-trail-mark)
(or (search-forward "\f" nil t)
(sleep-for 1))
(goto-char (point-max))
(re-search-backward "\f\\|^[ \t]+\\^$\\|G N U P L O T")
(if (looking-at "\f")
(progn
(forward-char 1)
(if (eolp) (forward-line 1))
(or (calc-graph-find-command "time")
(calc-graph-find-command "title")
(calc-graph-find-command "ylabel")
(let ((pt (point)))
(insert-before-markers (format "(%s)" (current-time-string)))
(goto-char pt)))
(set-window-start (selected-window) (point))
(goto-char (point-max)))
(end-of-line)
(backward-char 1)
(recenter '(4)))
(or calc-dumb-map
(progn
(setq calc-dumb-map (make-sparse-keymap))
(define-key calc-dumb-map "\n" 'scroll-up-command)
(define-key calc-dumb-map " " 'scroll-up-command)
(define-key calc-dumb-map [?\S-\ ] 'scroll-down-command)
(define-key calc-dumb-map "\177" 'scroll-down-command)
(define-key calc-dumb-map "<" 'scroll-left)
(define-key calc-dumb-map ">" 'scroll-right)
(define-key calc-dumb-map "{" 'scroll-down-command)
(define-key calc-dumb-map "}" 'scroll-up-command)
(define-key calc-dumb-map "q" 'exit-recursive-edit)
(define-key calc-dumb-map "\C-c\C-c" 'exit-recursive-edit)))
(use-local-map calc-dumb-map)
(setq truncate-lines t)
(message "Type `q' or `C-c C-c' to return to Calc")
(recursive-edit)
(bury-buffer "*Gnuplot Trail*")))
(defun calc-graph-clear ()
(interactive)
(if calc-graph-last-device
(if (or (equal calc-graph-last-device "x11")
(equal calc-graph-last-device "X11"))
(calc-gnuplot-command "set output"
(if (equal calc-graph-last-output "STDOUT")
""
(prin1-to-string calc-graph-last-output)))
(calc-gnuplot-command "clear"))))
(defun calc-graph-title-x (title)
(interactive "sX axis title: ")
(calc-graph-set-command "xlabel" (if (not (equal title ""))
(prin1-to-string title))))
(defun calc-graph-title-y (title)
(interactive "sY axis title: ")
(calc-graph-set-command "ylabel" (if (not (equal title ""))
(prin1-to-string title))))
(defun calc-graph-title-z (title)
(interactive "sZ axis title: ")
(calc-graph-set-command "zlabel" (if (not (equal title ""))
(prin1-to-string title))))
(defun calc-graph-range-x (range)
(interactive "sX axis range: ")
(calc-graph-set-range "xrange" range))