lisp/calc/calccomp.el

   1 ;;; calccomp.el --- composition functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
   4 ;;   2005, 2006, 2007, 2008 Free Software Foundation, Inc.
   5
   6 ;; Author: David Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software; you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation; either version 3, or (at your option)
  14 ;; any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs; see the file COPYING.  If not, write to the
  23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
  24 ;; Boston, MA 02110-1301, USA.
  25
  26 ;;; Commentary:
  27
  28 ;;; Code:
  29
  30 ;; This file is autoloaded from calc-ext.el.
  31
  32 (require 'calc-ext)
  33 (require 'calc-macs)
  34
  35 ;;; A "composition" has one of the following forms:
  36 ;;;
  37 ;;;    "string"              A literal string
  38 ;;;
  39 ;;;    (horiz C1 C2 ...)     Horizontally abutted sub-compositions
  40 ;;;
  41 ;;;    (set LEVEL OFF)       Set left margin + offset for line-break level
  42 ;;;    (break LEVEL)         A potential line-break point
  43 ;;;
  44 ;;;    (vleft N C1 C2 ...)   Vertically stacked, left-justified sub-comps
  45 ;;;    (vcent N C1 C2 ...)   Vertically stacked, centered sub-comps
  46 ;;;    (vright N C1 C2 ...)  Vertically stacked, right-justified sub-comps
  47 ;;;                          N specifies baseline of the stack, 0=top line.
  48 ;;;
  49 ;;;    (supscr C1 C2)        Composition C1 with superscript C2
  50 ;;;    (subscr C1 C2)        Composition C1 with subscript C2
  51 ;;;    (rule X)              Horizontal line of X, full width of enclosing comp
  52 ;;;
  53 ;;;    (tag X C)             Composition C corresponds to sub-expression X
  54
  55 ;; math-comp-just and math-comp-comma-spc are local to
  56 ;; math-compose-expr, but are used by math-compose-matrix, which is
  57 ;; called by math-compose-expr
  58 (defvar math-comp-just)
  59 (defvar math-comp-comma-spc)
  60
  61 ;; math-comp-vector-prec is local to math-compose-expr, but is used by
  62 ;; math-compose-matrix and math-compose-rows, which are called by
  63 ;; math-compose-expr.
  64 (defvar math-comp-vector-prec)
  65
  66 ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are
  67 ;; local to math-compose-expr, but are used by math-compose-rows, which is
  68 ;; called by math-compose-expr.
  69 (defvar math-comp-left-bracket)
  70 (defvar math-comp-right-bracket)
  71 (defvar math-comp-comma)
  72
  73 (defun math-compose-var (a)
  74   (let (v sn)
  75     (if (and math-compose-hash-args
  76              (let ((p calc-arg-values))
  77                (setq v 1)
  78                (while (and p (not (equal (car p) a)))
  79                  (setq p (and (eq math-compose-hash-args t) (cdr p))
  80                        v (1+ v)))
  81                p))
  82         (if (eq math-compose-hash-args 1)
  83             "#"
  84           (format "#%d" v))
  85       (setq sn (symbol-name (nth 1 a)))
  86       (if (memq calc-language calc-lang-allow-percentsigns)
  87           (setq sn (math-to-percentsigns sn)))
  88       (if (memq calc-language calc-lang-allow-underscores)
  89           (setq sn (math-to-underscores sn)))
  90       sn)))
  91
  92 (defun math-compose-expr (a prec)
  93   (let ((math-compose-level (1+ math-compose-level))
  94         (math-expr-opers (math-expr-ops))
  95         spfn)
  96     (cond
  97      ((or (and (eq a math-comp-selected) a)
  98           (and math-comp-tagged
  99                (not (eq math-comp-tagged a))))
 100       (let ((math-comp-selected nil))
 101         (and math-comp-tagged (setq math-comp-tagged a))
 102         (list 'tag a (math-compose-expr a prec))))
 103      ((and (not (consp a)) (not (integerp a)))
 104       (concat "'" (prin1-to-string a)))
 105      ((setq spfn (assq (car-safe a)
 106                        (get calc-language 'math-special-function-table)))
 107       (setq spfn (cdr spfn))
 108       (if (consp spfn)
 109           (funcall (car spfn) a spfn)
 110         (funcall spfn a)))
 111      ((math-scalarp a)
 112       (if (or (eq (car-safe a) 'frac)
 113               (and (nth 1 calc-frac-format) (Math-integerp a)))
 114           (if (and
 115                calc-language
 116                (not (memq calc-language
 117                           '(flat big unform))))
 118               (let ((aa (math-adjust-fraction a))
 119                     (calc-frac-format nil))
 120                 (math-compose-expr (list '/
 121                                          (if (memq calc-language
 122                                                    calc-lang-slash-idiv)
 123                                              (math-float (nth 1 aa))
 124                                            (nth 1 aa))
 125                                          (nth 2 aa)) prec))
 126             (if (and (eq calc-language 'big)
 127                      (= (length (car calc-frac-format)) 1))
 128                 (let* ((aa (math-adjust-fraction a))
 129                        (calc-frac-format nil)
 130                        (math-radix-explicit-format nil)
 131                        (c (list 'horiz
 132                                 (if (math-negp (nth 1 aa))
 133                                     "- " "")
 134                                 (list 'vcent 1
 135                                       (math-format-number
 136                                        (math-abs (nth 1 aa)))
 137                                       '(rule ?-)
 138                                       (math-format-number (nth 2 aa))))))
 139                   (if (= calc-number-radix 10)
 140                       c
 141                     (list 'horiz "(" c
 142                           (list 'subscr ")"
 143                                 (int-to-string calc-number-radix)))))
 144               (math-format-number a)))
 145         (if (not (eq calc-language 'big))
 146             (math-format-number a prec)
 147           (if (memq (car-safe a) '(cplx polar))
 148               (if (math-zerop (nth 2 a))
 149                   (math-compose-expr (nth 1 a) prec)
 150                 (list 'horiz "("
 151                       (math-compose-expr (nth 1 a) 0)
 152                       (if (eq (car a) 'cplx) ", " "; ")
 153                       (math-compose-expr (nth 2 a) 0) ")"))
 154             (if (or (= calc-number-radix 10)
 155                     (not (Math-realp a))
 156                     (and calc-group-digits
 157                          (not (assoc calc-group-char '((",") (" "))))))
 158                 (math-format-number a prec)
 159               (let ((s (math-format-number a prec))
 160                     (c nil))
 161                 (while (string-match (if (> calc-number-radix 14)
 162                                          "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)"
 163                                        "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)")
 164                                      s)
 165                   (setq c (nconc c (list (substring s 0 (match-beginning 0))
 166                                          (list 'subscr
 167                                                (math-match-substring s 2)
 168                                                (math-match-substring s 1))))
 169                         s (substring s (match-end 0))))
 170                 (if (string-match
 171                      "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s)
 172                     (setq s (list 'horiz
 173                                   (substring s 0 (match-beginning 0)) " "
 174                                   (list 'supscr
 175                                         (math-match-substring s 1)
 176                                         (math-match-substring s 2))
 177                                   (math-match-substring s 3))))
 178                 (if c (cons 'horiz (nconc c (list s))) s)))))))
 179      ((and (get (car a) 'math-compose-forms)
 180            (not (eq calc-language 'unform))
 181            (let ((comps (get (car a) 'math-compose-forms))
 182                  temp temp2)
 183              (or (and (setq temp (assq calc-language comps))
 184                       (or (and (setq temp2 (assq (1- (length a)) (cdr temp)))
 185                                (setq temp (apply (cdr temp2) (cdr a)))
 186                                (math-compose-expr temp prec))
 187                           (and (setq temp2 (assq nil (cdr temp)))
 188                                (funcall (cdr temp2) a))))
 189                  (and (setq temp (assq nil comps))
 190                       (or (and (setq temp2 (assq (1- (length a)) (cdr temp)))
 191                                (setq temp (apply (cdr temp2) (cdr a)))
 192                                (math-compose-expr temp prec))
 193                           (and (setq temp2 (assq nil (cdr temp)))
 194                                (funcall (cdr temp2) a))))))))
 195      ((eq (car a) 'vec)
 196       (let* ((math-comp-left-bracket (if calc-vector-brackets
 197                                (substring calc-vector-brackets 0 1) ""))
 198              (math-comp-right-bracket (if calc-vector-brackets
 199                                 (substring calc-vector-brackets 1 2) ""))
 200              (inner-brackets (memq 'R calc-matrix-brackets))
 201              (outer-brackets (memq 'O calc-matrix-brackets))
 202              (row-commas (memq 'C calc-matrix-brackets))
 203              (math-comp-comma-spc (or calc-vector-commas " "))
 204              (math-comp-comma (or calc-vector-commas ""))
 205              (math-comp-vector-prec (if (or (and calc-vector-commas
 206                                        (math-vector-no-parens a))
 207                                   (memq 'P calc-matrix-brackets)) 0 1000))
 208              (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright)
 209                                       ((eq calc-matrix-just 'center) 'vcent)
 210                                       (t 'vleft)))
 211              (break calc-break-vectors))
 212         (if (and (memq calc-language '(nil big))
 213                  (not calc-break-vectors)
 214                  (math-matrixp a) (not (math-matrixp (nth 1 a)))
 215                  (or calc-full-vectors
 216                      (and (< (length a) 7) (< (length (nth 1 a)) 7))
 217                      (progn (setq break t) nil)))
 218             (if (progn
 219                   (setq math-comp-vector-prec (if (or (and calc-vector-commas
 220                                                            (math-vector-no-parens
 221                                                             (nth 1 a)))
 222                                                       (memq 'P calc-matrix-brackets))
 223                                                   0 1000))
 224                   (= (length a) 2))
 225                 (list 'horiz
 226                       (concat math-comp-left-bracket math-comp-left-bracket " ")
 227                       (math-compose-vector (cdr (nth 1 a)) (concat math-comp-comma " ")
 228                                            math-comp-vector-prec)
 229                       (concat " " math-comp-right-bracket math-comp-right-bracket))
 230               (let* ((rows (1- (length a)))
 231                      (cols (1- (length (nth 1 a))))
 232                      (base (/ (1- rows) 2))
 233                      (calc-language 'flat))
 234                 (append '(horiz)
 235                         (list (append '(vleft)
 236                                       (list base)
 237                                       (list (concat (and outer-brackets
 238                                                          (concat math-comp-left-bracket
 239                                                                  " "))
 240                                                     (and inner-brackets
 241                                                          (concat math-comp-left-bracket
 242                                                                  " "))))
 243                                       (make-list (1- rows)
 244                                                  (concat (and outer-brackets
 245                                                               "  ")
 246                                                          (and inner-brackets
 247                                                               (concat
 248                                                                math-comp-left-bracket
 249                                                                " "))))))
 250                         (math-compose-matrix (cdr a) 1 cols base)
 251                         (list (append '(vleft)
 252                                       (list base)
 253                                       (make-list (1- rows)
 254                                                  (if inner-brackets
 255                                                      (concat " "
 256                                                              math-comp-right-bracket
 257                                                              (and row-commas
 258                                                                   math-comp-comma))
 259                                                    (if (and outer-brackets
 260                                                             row-commas)
 261                                                        ";" "")))
 262                                       (list (concat
 263                                              (and inner-brackets
 264                                                   (concat " "
 265                                                           math-comp-right-bracket))
 266                                              (and outer-brackets
 267                                                   (concat
 268                                                    " "
 269                                                    math-comp-right-bracket)))))))))
 270           (if (and calc-display-strings
 271                    (cdr a)
 272                    (math-vector-is-string a))
 273               (math-vector-to-string a t)
 274             (if (and break (cdr a)
 275                      (not (eq calc-language 'flat)))
 276                 (let* ((full (or calc-full-vectors (< (length a) 7)))
 277                        (rows (if full (1- (length a)) 5))
 278                        (base (/ (1- rows) 2))
 279                        (calc-break-vectors nil))
 280                   (list 'horiz
 281                         (cons 'vleft (cons base
 282                                            (math-compose-rows
 283                                             (cdr a)
 284                                             (if full rows 3) t)))))
 285               (if (or calc-full-vectors (< (length a) 7))
 286                   (if (and
 287                        (setq spfn (get calc-language 'math-matrix-formatter))
 288                        (math-matrixp a))
 289                       (funcall spfn a)
 290                     (list 'horiz
 291                           math-comp-left-bracket
 292                           (math-compose-vector (cdr a)
 293                                                (concat math-comp-comma " ")
 294                                                math-comp-vector-prec)
 295                           math-comp-right-bracket))
 296                 (list 'horiz
 297                       math-comp-left-bracket
 298                       (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a))
 299                                            (concat math-comp-comma " ")
 300                                            math-comp-vector-prec)
 301                       math-comp-comma
 302                       (if (setq spfn (get calc-language 'math-dots))
 303                           (concat " " spfn)
 304                         " ...")
 305                       math-comp-comma " "
 306                       (list 'break math-compose-level)
 307                       (math-compose-expr (nth (1- (length a)) a)
 308                                          (if (equal math-comp-comma "") 1000 0))
 309                       math-comp-right-bracket)))))))
 310      ((eq (car a) 'incomplete)
 311       (if (cdr (cdr a))
 312           (cond ((eq (nth 1 a) 'vec)
 313                  (list 'horiz "["
 314                        (math-compose-vector (cdr (cdr a)) ", " 0)
 315                        " ..."))
 316                 ((eq (nth 1 a) 'cplx)
 317                  (list 'horiz "("
 318                        (math-compose-vector (cdr (cdr a)) ", " 0)
 319                        ", ..."))
 320                 ((eq (nth 1 a) 'polar)
 321                  (list 'horiz "("
 322                        (math-compose-vector (cdr (cdr a)) "; " 0)
 323                        "; ..."))
 324                 ((eq (nth 1 a) 'intv)
 325                  (list 'horiz
 326                        (if (memq (nth 2 a) '(0 1)) "(" "[")
 327                        (math-compose-vector (cdr (cdr (cdr a))) " .. " 0)
 328                        " .. ..."))
 329                 (t (format "%s" a)))
 330         (cond ((eq (nth 1 a) 'vec) "[ ...")
 331               ((eq (nth 1 a) 'intv)
 332                (if (memq (nth 2 a) '(0 1)) "( ..." "[ ..."))
 333               (t "( ..."))))
 334      ((eq (car a) 'var)
 335       (let ((v (rassq (nth 2 a) math-expr-variable-mapping)))
 336         (if v
 337             (symbol-name (car v))
 338           (if (setq spfn (get calc-language 'math-var-formatter))
 339               (funcall spfn a prec)
 340             (math-compose-var a)))))
 341      ((eq (car a) 'intv)
 342       (list 'horiz
 343             (if (memq (nth 1 a) '(0 1)) "(" "[")
 344             (math-compose-expr (nth 2 a) 0)
 345             " .. "
 346             (math-compose-expr (nth 3 a) 0)
 347             (if (memq (nth 1 a) '(0 2)) ")" "]")))
 348      ((eq (car a) 'date)
 349       (if (eq (car calc-date-format) 'X)
 350           (math-format-date a)
 351         (concat "<" (math-format-date a) ">")))
 352      ((and (eq (car a) 'calcFunc-subscr)
 353            (setq spfn (get calc-language 'math-compose-subscr)))
 354       (funcall spfn a))
 355      ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3)
 356            (eq calc-language 'big))
 357       (let* ((a1 (math-compose-expr (nth 1 a) 1000))
 358              (calc-language 'flat)
 359              (a2 (math-compose-expr (nth 2 a) 0)))
 360         (if (or (eq (car-safe a1) 'subscr)
 361                 (and (eq (car-safe a1) 'tag)
 362                      (eq (car-safe (nth 2 a1)) 'subscr)
 363                      (setq a1 (nth 2 a1))))
 364             (list 'subscr
 365                   (nth 1 a1)
 366                   (list 'horiz
 367                         (nth 2 a1)
 368                         ", "
 369                         a2))
 370           (list 'subscr a1 a2))))
 371      ((and (eq (car a) '^)
 372            (eq calc-language 'big))
 373       (list 'supscr
 374             (if (or (math-looks-negp (nth 1 a))
 375                     (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt))
 376                     (and (eq (car-safe (nth 1 a)) 'cplx)
 377                          (math-negp (nth 1 (nth 1 a)))
 378                          (eq (nth 2 (nth 1 a)) 0)))
 379                 (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")")
 380               (math-compose-expr (nth 1 a) 201))
 381             (let ((calc-language 'flat)
 382                   (calc-number-radix 10))
 383               (math-compose-expr (nth 2 a) 0))))
 384      ((and (eq (car a) '/)
 385            (eq calc-language 'big))
 386       (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac))
 387                                          'flat 'big)))
 388                   (math-compose-expr (nth 1 a) 0)))
 389             (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac))
 390                                          'flat 'big)))
 391                   (math-compose-expr (nth 2 a) 0))))
 392         (list 'vcent
 393               (math-comp-height a1)
 394               a1 '(rule ?-) a2)))
 395      ((and (eq (car a) 'calcFunc-lambda)
 396            (> (length a) 2)
 397            (memq calc-language '(nil flat big)))
 398       (let ((p (cdr a))
 399             (ap calc-arg-values)
 400             (math-compose-hash-args (if (= (length a) 3) 1 t)))
 401         (while (and (cdr p) (equal (car p) (car ap)))
 402           (setq p (cdr p) ap (cdr ap)))
 403         (append '(horiz "<")
 404                 (if (cdr p)
 405                     (list (math-compose-vector
 406                            (nreverse (cdr (reverse (cdr a)))) ", " 0)
 407                           " : ")
 408                   nil)
 409                 (list (math-compose-expr (nth (1- (length a)) a) 0)
 410                       ">"))))
 411      ((and (eq (car a) 'calcFunc-string)
 412            (= (length a) 2)
 413            (math-vectorp (nth 1 a))
 414            (math-vector-is-string (nth 1 a)))
 415       (if (eq calc-language 'unform)
 416           (concat "string(" (math-vector-to-string (nth 1 a) t) ")")
 417         (math-vector-to-string (nth 1 a) nil)))
 418      ((and (eq (car a) 'calcFunc-bstring)
 419            (= (length a) 2)
 420            (math-vectorp (nth 1 a))
 421            (math-vector-is-string (nth 1 a)))
 422       (if (eq calc-language 'unform)
 423           (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")")
 424         (let ((c nil)
 425               (s (math-vector-to-string (nth 1 a) nil))
 426               p)
 427           (while (string-match "[^ ] +[^ ]" s)
 428             (setq p (1- (match-end 0))
 429                   c (cons (list 'break math-compose-level)
 430                           (cons (substring s 0 p)
 431                                 c))
 432                   s (substring s p)))
 433           (setq c (nreverse (cons s c)))
 434           (or (= prec -123)
 435               (setq c (cons (list 'set math-compose-level 2) c)))
 436           (cons 'horiz c))))
 437      ((and (eq (car a) 'calcFunc-cprec)
 438            (not (eq calc-language 'unform))
 439            (= (length a) 3)
 440            (integerp (nth 2 a)))
 441       (let ((c (math-compose-expr (nth 1 a) -1)))
 442         (if (> prec (nth 2 a))
 443             (if (setq spfn (get calc-language 'math-big-parens))
 444                 (list 'horiz (car spfn) c (cdr spfn))
 445               (list 'horiz "(" c ")"))
 446           c)))
 447      ((and (eq (car a) 'calcFunc-choriz)
 448            (not (eq calc-language 'unform))
 449            (memq (length a) '(2 3 4))
 450            (math-vectorp (nth 1 a))
 451            (if (integerp (nth 2 a))
 452                (or (null (nth 3 a))
 453                    (and (math-vectorp (nth 3 a))
 454                         (math-vector-is-string (nth 3 a))))
 455              (or (null (nth 2 a))
 456                  (and (math-vectorp (nth 2 a))
 457                       (math-vector-is-string (nth 2 a))))))
 458       (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a)))
 459              (sep (nth (if cprec 3 2) a))
 460              (bprec nil))
 461         (if sep
 462             (math-compose-vector (cdr (nth 1 a))
 463                                  (math-vector-to-string sep nil)
 464                                  (or cprec prec))
 465           (cons 'horiz (mapcar (function
 466                                 (lambda (x)
 467                                   (if (eq (car-safe x) 'calcFunc-bstring)
 468                                       (prog1
 469                                           (math-compose-expr
 470                                            x (or bprec cprec prec))
 471                                         (setq bprec -123))
 472                                     (math-compose-expr x (or cprec prec)))))
 473                                (cdr (nth 1 a)))))))
 474      ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert))
 475            (not (eq calc-language 'unform))
 476            (memq (length a) '(2 3))
 477            (math-vectorp (nth 1 a))
 478            (or (null (nth 2 a))
 479                (integerp (nth 2 a))))
 480       (let* ((base 0)
 481              (v 0)
 482              (prec (or (nth 2 a) prec))
 483              (c (mapcar (function
 484                          (lambda (x)
 485                            (let ((b nil) (cc nil) a d)
 486                              (if (and (memq (car-safe x) '(calcFunc-cbase
 487                                                            calcFunc-ctbase
 488                                                            calcFunc-cbbase))
 489                                       (memq (length x) '(1 2)))
 490                                  (setq b (car x)
 491                                        x (nth 1 x)))
 492                              (if (and (eq (car-safe x) 'calcFunc-crule)
 493                                       (memq (length x) '(1 2))
 494                                       (or (null (nth 1 x))
 495                                           (and (math-vectorp (nth 1 x))
 496                                                (= (length (nth 1 x)) 2)
 497                                                (math-vector-is-string
 498                                                 (nth 1 x)))
 499                                           (and (natnump (nth 1 x))
 500                                                (<= (nth 1 x) 255))))
 501                                  (setq cc (list
 502                                            'rule
 503                                            (if (math-vectorp (nth 1 x))
 504                                                (aref (math-vector-to-string
 505                                                       (nth 1 x) nil) 0)
 506                                              (or (nth 1 x) ?-))))
 507                                (or (and (memq (car-safe x) '(calcFunc-cvspace
 508                                                              calcFunc-ctspace
 509                                                              calcFunc-cbspace))
 510                                         (memq (length x) '(2 3))
 511                                         (eq (nth 1 x) 0))
 512                                    (null x)
 513                                    (setq cc (math-compose-expr x prec))))
 514                              (setq a (if cc (math-comp-ascent cc) 0)
 515                                    d (if cc (math-comp-descent cc) 0))
 516                              (if (eq b 'calcFunc-cbase)
 517                                  (setq base (+ v a -1))
 518                                (if (eq b 'calcFunc-ctbase)
 519                                    (setq base v)
 520                                  (if (eq b 'calcFunc-cbbase)
 521                                      (setq base (+ v a d -1)))))
 522                              (setq v (+ v a d))
 523                              cc)))
 524                         (cdr (nth 1 a)))))
 525         (setq c (delq nil c))
 526         (if c
 527             (cons (if (eq (car a) 'calcFunc-cvert) 'vcent
 528                     (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright))
 529                   (cons base c))
 530           " ")))
 531      ((and (memq (car a) '(calcFunc-csup calcFunc-csub))
 532            (not (eq calc-language 'unform))
 533            (memq (length a) '(3 4))
 534            (or (null (nth 3 a))
 535                (integerp (nth 3 a))))
 536       (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr)
 537             (math-compose-expr (nth 1 a) (or (nth 3 a) 0))
 538             (math-compose-expr (nth 2 a) 0)))
 539      ((and (eq (car a) 'calcFunc-cflat)
 540            (not (eq calc-language 'unform))
 541            (memq (length a) '(2 3))
 542            (or (null (nth 2 a))
 543                (integerp (nth 2 a))))
 544       (let ((calc-language (if (memq calc-language '(nil big))
 545                                'flat calc-language)))
 546         (math-compose-expr (nth 1 a) (or (nth 2 a) 0))))
 547      ((and (eq (car a) 'calcFunc-cspace)
 548            (memq (length a) '(2 3))
 549            (natnump (nth 1 a)))
 550       (if (nth 2 a)
 551           (cons 'horiz (make-list (nth 1 a)
 552                                   (if (and (math-vectorp (nth 2 a))
 553                                            (math-vector-is-string (nth 2 a)))
 554                                       (math-vector-to-string (nth 2 a) nil)
 555                                     (math-compose-expr (nth 2 a) 0))))
 556         (make-string (nth 1 a) ?\ )))
 557      ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
 558            (memq (length a) '(2 3))
 559            (natnump (nth 1 a)))
 560       (if (= (nth 1 a) 0)
 561           ""
 562         (let* ((c (if (nth 2 a)
 563                       (if (and (math-vectorp (nth 2 a))
 564                                (math-vector-is-string (nth 2 a)))
 565                           (math-vector-to-string (nth 2 a) nil)
 566                         (math-compose-expr (nth 2 a) 0))
 567                     " "))
 568                (ca (math-comp-ascent c))
 569                (cd (math-comp-descent c)))
 570           (cons 'vleft
 571                 (cons (if (eq (car a) 'calcFunc-ctspace)
 572                           (1- ca)
 573                         (if (eq (car a) 'calcFunc-cbspace)
 574                             (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca))
 575                           (/ (1- (* (nth 1 a) (+ ca cd))) 2)))
 576                       (make-list (nth 1 a) c))))))
 577      ((and (eq (car a) 'calcFunc-evalto)
 578            (setq calc-any-evaltos t)
 579            (setq spfn (get calc-language 'math-evalto))
 580            (= math-compose-level (if math-comp-tagged 2 1))
 581            (= (length a) 3))
 582       (list 'horiz
 583             (car spfn)
 584             (math-compose-expr (nth 1 a) 0)
 585             (cdr spfn)
 586             (math-compose-expr (nth 2 a) 0)))
 587      (t
 588       (let ((op (and (not (eq calc-language 'unform))
 589                      (if (and (eq (car a) 'calcFunc-if) (= (length a) 4))
 590                          (assoc "?" math-expr-opers)
 591                        (math-assq2 (car a) math-expr-opers)))))
 592         (cond ((and op
 593                     (or (= (length a) 3) (eq (car a) 'calcFunc-if))
 594                     (/= (nth 3 op) -1))
 595                (cond
 596                 ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op))))
 597                  (if (and (memq calc-language '(tex latex))
 598                           (not (math-tex-expr-is-flat a)))
 599                      (if (eq (car-safe a) '/)
 600                          (list 'horiz "{" (math-compose-expr a -1) "}")
 601                        (list 'horiz "\\left( "
 602                              (math-compose-expr a -1)
 603                              " \\right)"))
 604                    (if (eq calc-language 'eqn)
 605                        (if (or (eq (car-safe a) '/)
 606                                (= (/ prec 100) 9))
 607                            (list 'horiz "{" (math-compose-expr a -1) "}")
 608                          (if (math-tex-expr-is-flat a)
 609                              (list 'horiz "( " (math-compose-expr a -1) " )")
 610                            (list 'horiz "{left ( "
 611                                  (math-compose-expr a -1)
 612                                  " right )}")))
 613                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 614                 ((and (memq calc-language '(tex latex))
 615                       (memq (car a) '(/ calcFunc-choose calcFunc-evalto))
 616                       (>= prec 0))
 617                  (list 'horiz "{" (math-compose-expr a -1) "}"))
 618                 ((eq (car a) 'calcFunc-if)
 619                  (list 'horiz
 620                        (math-compose-expr (nth 1 a) (nth 2 op))
 621                        " ? "
 622                        (math-compose-expr (nth 2 a) 0)
 623                        " : "
 624                        (math-compose-expr (nth 3 a) (nth 3 op))))
 625                 (t
 626                  (let* ((math-comp-tagged (and math-comp-tagged
 627                                                (not (math-primp a))
 628                                                math-comp-tagged))
 629                         (setlev (if (= prec (min (nth 2 op) (nth 3 op)))
 630                                     (progn
 631                                       (setq math-compose-level
 632                                             (1- math-compose-level))
 633                                       nil)
 634                                   math-compose-level))
 635                         (lhs (math-compose-expr (nth 1 a) (nth 2 op)))
 636                         (rhs (math-compose-expr (nth 2 a) (nth 3 op))))
 637                    (and (equal (car op) "^")
 638                         (eq (math-comp-first-char lhs) ?-)
 639                         (setq lhs (list 'horiz "(" lhs ")")))
 640                    (and (memq calc-language '(tex latex))
 641                         (or (equal (car op) "^") (equal (car op) "_"))
 642                         (not (and (stringp rhs) (= (length rhs) 1)))
 643                         (setq rhs (list 'horiz "{" rhs "}")))
 644                    (or (and (eq (car a) '*)
 645                             (or (null calc-language)
 646                                 (assoc "2x" math-expr-opers))
 647                             (let* ((prevt (math-prod-last-term (nth 1 a)))
 648                                    (nextt (math-prod-first-term (nth 2 a)))
 649                                    (prevc (or (math-comp-last-char lhs)
 650                                               (and (memq (car-safe prevt)
 651                                                          '(^ calcFunc-subscr
 652                                                              calcFunc-sqrt
 653                                                              frac))
 654                                                    (eq calc-language 'big)
 655                                                    ?0)))
 656                                    (nextc (or (math-comp-first-char rhs)
 657                                               (and (memq (car-safe nextt)
 658                                                          '(calcFunc-sqrt
 659                                                            calcFunc-sum
 660                                                            calcFunc-prod
 661                                                            calcFunc-integ))
 662                                                    (eq calc-language 'big)
 663                                                    ?0))))
 664                               (and prevc nextc
 665                                    (or (and (>= nextc ?a) (<= nextc ?z))
 666                                        (and (>= nextc ?A) (<= nextc ?Z))
 667                                        (and (>= nextc ?0) (<= nextc ?9))
 668                                        (memq nextc '(?. ?_ ?#
 669                                                         ?\( ?\[ ?\{))
 670                                        (and (eq nextc ?\\)
 671                                             (not (string-match
 672                                                   "\\`\\\\left("
 673                                                   (math-comp-first-string
 674                                                    rhs)))))
 675                                    (not (and (eq (car-safe prevt) 'var)
 676                                              (eq nextc ?\()))
 677                                    (list 'horiz
 678                                          (list 'set setlev 1)
 679                                          lhs
 680                                          (list 'break math-compose-level)
 681                                          " "
 682                                          rhs))))
 683                        (list 'horiz
 684                              (list 'set setlev 1)
 685                              lhs
 686                              (list 'break math-compose-level)
 687                              (if (or (equal (car op) "^")
 688                                      (equal (car op) "_")
 689                                      (equal (car op) "**")
 690                                      (and (equal (car op) "*")
 691                                           (math-comp-last-char lhs)
 692                                           (math-comp-first-char rhs))
 693                                      (and (equal (car op) "/")
 694                                           (math-num-integerp (nth 1 a))
 695                                           (math-integerp (nth 2 a))))
 696                                  (car op)
 697                                (if (and (eq calc-language 'big)
 698                                         (equal (car op) "=>"))
 699                                    "  =>  "
 700                                  (concat " " (car op) " ")))
 701                              rhs))))))
 702               ((and op (= (length a) 2) (= (nth 3 op) -1))
 703                (cond
 704                 ((or (> prec (or (nth 4 op) (nth 2 op)))
 705                      (and (not (eq (assoc (car op) math-expr-opers) op))
 706                           (> prec 0)))   ; don't write x% + y
 707                  (if (and (memq calc-language '(tex latex))
 708                           (not (math-tex-expr-is-flat a)))
 709                      (list 'horiz "\\left( "
 710                            (math-compose-expr a -1)
 711                            " \\right)")
 712                    (if (eq calc-language 'eqn)
 713                        (if (= (/ prec 100) 9)
 714                            (list 'horiz "{" (math-compose-expr a -1) "}")
 715                          (if (math-tex-expr-is-flat a)
 716                              (list 'horiz "{( " (math-compose-expr a -1) " )}")
 717                            (list 'horiz "{left ( "
 718                                  (math-compose-expr a -1)
 719                                  " right )}")))
 720                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 721                 (t
 722                  (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op))))
 723                  (list 'horiz
 724                        lhs
 725                        (if (or (> (length (car op)) 1)
 726                                (not (math-comp-is-flat lhs)))
 727                            (concat " " (car op))
 728                          (car op)))))))
 729               ((and op (= (length a) 2) (= (nth 2 op) -1))
 730                (cond
 731                 ((eq (nth 3 op) 0)
 732                  (let ((lr (and (memq calc-language '(tex latex))
 733                                 (not (math-tex-expr-is-flat (nth 1 a))))))
 734                    (list 'horiz
 735                          (if lr "\\left" "")
 736                          (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op))
 737                              (substring (car op) 1)
 738                            (car op))
 739                          (if (or lr (> (length (car op)) 2)) " " "")
 740                          (math-compose-expr (nth 1 a) -1)
 741                          (if (or lr (> (length (car op)) 2)) " " "")
 742                          (if lr "\\right" "")
 743                          (car (nth 1 (memq op math-expr-opers))))))
 744                 ((> prec (or (nth 4 op) (nth 3 op)))
 745                  (if (and (memq calc-language '(tex latex))
 746                           (not (math-tex-expr-is-flat a)))
 747                      (list 'horiz "\\left( "
 748                            (math-compose-expr a -1)
 749                            " \\right)")
 750                    (if (eq calc-language 'eqn)
 751                        (if (= (/ prec 100) 9)
 752                            (list 'horiz "{" (math-compose-expr a -1) "}")
 753                          (if (math-tex-expr-is-flat a)
 754                              (list 'horiz "{( " (math-compose-expr a -1) " )}")
 755                            (list 'horiz "{left ( "
 756                                  (math-compose-expr a -1)
 757                                  " right )}")))
 758                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 759                 (t
 760                  (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op))))
 761                    (list 'horiz
 762                          (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'"
 763                                                       (car op))
 764                                         (substring (car op) 1)
 765                                       (car op))))
 766                            (if (or (> (length ops) 1)
 767                                    (not (math-comp-is-flat rhs)))
 768                                (concat ops " ")
 769                              ops))
 770                          rhs)))))
 771               ((and (eq calc-language 'big)
 772                     (setq op (get (car a) 'math-compose-big))
 773                     (funcall op a prec)))
 774               ((and (setq op (assq calc-language
 775                                    '( ( nil . math-compose-normal )
 776                                       ( flat . math-compose-normal )
 777                                       ( big . math-compose-normal )
 778                                       ( c . math-compose-c )
 779                                       ( pascal . math-compose-pascal )
 780                                       ( fortran . math-compose-fortran )
 781                                       ( tex . math-compose-tex )
 782                                       ( latex . math-compose-latex )
 783                                       ( eqn . math-compose-eqn )
 784                                       ( yacas . math-compose-yacas )
 785                                       ( maxima . math-compose-maxima )
 786                                       ( giac . math-compose-giac )
 787                                       ( math . math-compose-math )
 788                                       ( maple . math-compose-maple ))))
 789                     (setq op (get (car a) (cdr op)))
 790                     (funcall op a prec)))
 791               (t
 792                (let* ((func (car a))
 793                       (func2 (assq func '(( mod . calcFunc-makemod )
 794                                           ( sdev . calcFunc-sdev )
 795                                           ( + . calcFunc-add )
 796                                           ( - . calcFunc-sub )
 797                                           ( * . calcFunc-mul )
 798                                           ( / . calcFunc-div )
 799                                           ( % . calcFunc-mod )
 800                                           ( ^ . calcFunc-pow )
 801                                           ( neg . calcFunc-neg )
 802                                           ( | . calcFunc-vconcat ))))
 803                       left right args)
 804                  (if func2
 805                      (setq func (cdr func2)))
 806                  (if (setq func2 (rassq func math-expr-function-mapping))
 807                      (setq func (car func2)))
 808                  (setq func (math-remove-dashes
 809                              (if (string-match
 810                                   "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
 811                                   (symbol-name func))
 812                                  (math-match-substring (symbol-name func) 1)
 813                                (symbol-name func))))
 814                  (if (memq calc-language calc-lang-allow-percentsigns)
 815                      (setq func (math-to-percentsigns func)))
 816                  (if (memq calc-language calc-lang-allow-underscores)
 817                      (setq func (math-to-underscores func)))
 818                  (if (setq spfn (get calc-language 'math-func-formatter))
 819                      (funcall spfn func a)
 820
 821                    (list 'horiz func calc-function-open
 822                        (math-compose-vector (cdr a) ", " 0)
 823                        calc-function-close))))))))))
 824
 825
 826 (defun math-prod-first-term (x)
 827   (while (eq (car-safe x) '*)
 828     (setq x (nth 1 x)))
 829   x)
 830
 831 (defun math-prod-last-term (x)
 832   (while (eq (car-safe x) '*)
 833     (setq x (nth 2 x)))
 834   x)
 835
 836 (defun math-compose-vector (a sep prec)
 837   (if a
 838       (cons 'horiz
 839             (cons (list 'set math-compose-level)
 840                   (let ((c (list (math-compose-expr (car a) prec))))
 841                     (while (setq a (cdr a))
 842                       (setq c (cons (if (eq (car-safe (car a))
 843                                             'calcFunc-bstring)
 844                                         (let ((math-compose-level
 845                                                (1- math-compose-level)))
 846                                           (math-compose-expr (car a) -123))
 847                                       (math-compose-expr (car a) prec))
 848                                     (cons (list 'break math-compose-level)
 849                                           (cons sep c)))))
 850                     (nreverse c))))
 851     ""))
 852
 853 (defun math-vector-no-parens (a)
 854   (or (cdr (cdr a))
 855       (not (eq (car-safe (nth 1 a)) '*))))
 856
 857 (defun math-compose-matrix (a col cols base)
 858   (let ((col 0)
 859         (res nil))
 860     (while (<= (setq col (1+ col)) cols)
 861       (setq res (cons (cons math-comp-just
 862                             (cons base
 863                                   (mapcar (function
 864                                            (lambda (r)
 865                                              (list 'horiz
 866                                                    (math-compose-expr
 867                                                     (nth col r)
 868                                                     math-comp-vector-prec)
 869                                                    (if (= col cols)
 870                                                        ""
 871                                                      (concat
 872                                                       math-comp-comma-spc " ")))))
 873                                           a)))
 874                       res)))
 875     (nreverse res)))
 876
 877 (defun math-compose-rows (a count first)
 878   (if (cdr a)
 879       (if (<= count 0)
 880           (if (< count 0)
 881               (math-compose-rows (cdr a) -1 nil)
 882             (cons (concat
 883                    (let ((mdots (get calc-language 'math-dots)))
 884                      (if mdots
 885                          (concat " " mdots)
 886                        "  ..."))
 887                    math-comp-comma)
 888                   (math-compose-rows (cdr a) -1 nil)))
 889         (cons (list 'horiz
 890                     (if first (concat math-comp-left-bracket " ") "  ")
 891                     (math-compose-expr (car a) math-comp-vector-prec)
 892                     math-comp-comma)
 893               (math-compose-rows (cdr a) (1- count) nil)))
 894     (list (list 'horiz
 895                 (if first (concat math-comp-left-bracket " ") "  ")
 896                 (math-compose-expr (car a) math-comp-vector-prec)
 897                 (concat " " math-comp-right-bracket)))))
 898
 899 (defun math-vector-is-string (a)
 900   (while (and (setq a (cdr a))
 901               (or (and (natnump (car a))
 902                        (<= (car a) 255))
 903                   (and (eq (car-safe (car a)) 'cplx)
 904                        (natnump (nth 1 (car a)))
 905                        (eq (nth 2 (car a)) 0)
 906                        (<= (nth 1 (car a)) 255)))))
 907   (null a))
 908
 909 (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" )
 910                                          ( ?\\ . "\\\\" )
 911                                          ( ?\a . "\\a" )
 912                                          ( ?\b . "\\b" )
 913                                          ( ?\e . "\\e" )
 914                                          ( ?\f . "\\f" )
 915                                          ( ?\n . "\\n" )
 916                                          ( ?\r . "\\r" )
 917                                          ( ?\t . "\\t" )
 918                                          ( ?\^? . "\\^?" )))
 919
 920 (defun math-vector-to-string (a &optional quoted)
 921   (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x)))
 922                           (cdr a))))
 923   (if (string-match "[\000-\037\177\\\"]" a)
 924       (let ((p 0)
 925             (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]"))
 926             (codes (if quoted math-vector-to-string-chars '((?\^? . "^?"))))
 927             (fmt (if quoted "\\^%c" "^%c"))
 928             new)
 929         (while (setq p (string-match pat a p))
 930           (if (setq new (assq (aref a p) codes))
 931               (setq a (concat (substring a 0 p)
 932                               (cdr new)
 933                               (substring a (1+ p)))
 934                     p (+ p (length (cdr new))))
 935             (setq a (concat (substring a 0 p)
 936                             (format fmt (+ (aref a p) 64))
 937                             (substring a (1+ p)))
 938                   p (+ p 2))))))
 939   (if quoted
 940       (concat "\"" a "\"")
 941     a))
 942
 943
 944 (defun math-to-underscores (x)
 945   (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
 946       (math-to-underscores
 947        (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
 948     x))
 949
 950 (defun math-to-percentsigns (x)
 951   (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x)
 952       (math-to-underscores
 953        (concat (math-match-substring x 1) "%" (math-match-substring x 2)))
 954     x))
 955
 956 (defun math-tex-expr-is-flat (a)
 957   (or (Math-integerp a)
 958       (memq (car a) '(float var))
 959       (and (memq (car a) '(+ - * neg))
 960            (progn
 961              (while (and (setq a (cdr a))
 962                          (math-tex-expr-is-flat (car a))))
 963              (null a)))
 964       (and (memq (car a) '(^ calcFunc-subscr))
 965            (math-tex-expr-is-flat (nth 1 a)))))
 966
 967 (put 'calcFunc-log 'math-compose-big 'math-compose-log)
 968 (defun math-compose-log (a prec)
 969   (and (= (length a) 3)
 970        (list 'horiz
 971              (list 'subscr "log"
 972                    (let ((calc-language 'flat))
 973                      (math-compose-expr (nth 2 a) 1000)))
 974              "("
 975              (math-compose-expr (nth 1 a) 1000)
 976              ")")))
 977
 978 (put 'calcFunc-log10 'math-compose-big 'math-compose-log10)
 979 (defun math-compose-log10 (a prec)
 980   (and (= (length a) 2)
 981        (list 'horiz
 982              (list 'subscr "log" "10")
 983              "("
 984              (math-compose-expr (nth 1 a) 1000)
 985              ")")))
 986
 987 (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv)
 988 (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv)
 989 (defun math-compose-deriv (a prec)
 990   (when (= (length a) 3)
 991     (math-compose-expr (list '/
 992                              (list 'calcFunc-choriz
 993                                    (list 'vec
 994                                          '(calcFunc-string (vec ?d))
 995                                          (nth 1 a)))
 996                              (list 'calcFunc-choriz
 997                                    (list 'vec
 998                                          '(calcFunc-string (vec ?d))
 999                                          (nth 2 a))))
1000                        prec)))
1001
1002 (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt)
1003 (defun math-compose-sqrt (a prec)
1004   (when (= (length a) 2)
1005     (let* ((c (math-compose-expr (nth 1 a) 0))
1006            (a (math-comp-ascent c))
1007            (d (math-comp-descent c))
1008            (h (+ a d))
1009            (w (math-comp-width c)))
1010       (list 'vleft
1011             a
1012             (concat (if (= h 1) " " "  ")
1013                     (make-string (+ w 2) ?\_))
1014             (list 'horiz
1015                   (if (= h 1)
1016                       "V"
1017                     (append (list 'vleft (1- a))
1018                             (make-list (1- h) " |")
1019                             '("\\|")))
1020                   " "
1021                   c)))))
1022
1023 (put 'calcFunc-choose 'math-compose-big 'math-compose-choose)
1024 (defun math-compose-choose (a prec)
1025   (let ((a1 (math-compose-expr (nth 1 a) 0))
1026         (a2 (math-compose-expr (nth 2 a) 0)))
1027     (list 'horiz
1028           "("
1029           (list 'vcent
1030                 (math-comp-height a1)
1031                 a1 " " a2)
1032           ")")))
1033
1034 (put 'calcFunc-integ 'math-compose-big 'math-compose-integ)
1035 (defun math-compose-integ (a prec)
1036   (and (memq (length a) '(3 5))
1037        (eq (car-safe (nth 2 a)) 'var)
1038        (let* ((parens (and (>= prec 196) (/= prec 1000)))
1039               (var (math-compose-expr (nth 2 a) 0))
1040               (over (and (eq (car-safe (nth 2 a)) 'var)
1041                          (or (and (eq (car-safe (nth 1 a)) '/)
1042                                   (math-numberp (nth 1 (nth 1 a))))
1043                              (and (eq (car-safe (nth 1 a)) '^)
1044                                   (math-looks-negp (nth 2 (nth 1 a)))))))
1045               (expr (math-compose-expr (if over
1046                                            (math-mul (nth 1 a)
1047                                                      (math-build-var-name
1048                                                       (format
1049                                                        "d%s"
1050                                                        (nth 1 (nth 2 a)))))
1051                                          (nth 1 a)) 185))
1052               (calc-language 'flat)
1053               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1054               (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0))))
1055          (list 'horiz
1056                (if parens "(" "")
1057                (append (list 'vcent (if high 3 2))
1058                        (and high (list (list 'horiz "  " high)))
1059                        '("  /"
1060                          " | "
1061                          " | "
1062                          " | "
1063                          "/  ")
1064                        (and low (list (list 'horiz low "  "))))
1065                expr
1066                (if over
1067                    ""
1068                  (list 'horiz " d" var))
1069                (if parens ")" "")))))
1070
1071 (put 'calcFunc-sum 'math-compose-big 'math-compose-sum)
1072 (defun math-compose-sum (a prec)
1073   (and (memq (length a) '(3 5 6))
1074        (let* ((expr (math-compose-expr (nth 1 a) 185))
1075               (calc-language 'flat)
1076               (var (math-compose-expr (nth 2 a) 0))
1077               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1078               (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1079          (list 'horiz
1080                (if (memq prec '(180 201)) "(" "")
1081                (append (list 'vcent (if high 3 2))
1082                        (and high (list high))
1083                        '("---- "
1084                          "\\    "
1085                          " >   "
1086                          "/    "
1087                          "---- ")
1088                        (if low
1089                            (list (list 'horiz var " = " low))
1090                          (list var)))
1091                (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1092                    " " "")
1093                expr
1094                (if (memq prec '(180 201)) ")" "")))))
1095
1096 (put 'calcFunc-prod 'math-compose-big 'math-compose-prod)
1097 (defun math-compose-prod (a prec)
1098   (and (memq (length a) '(3 5 6))
1099        (let* ((expr (math-compose-expr (nth 1 a) 198))
1100               (calc-language 'flat)
1101               (var (math-compose-expr (nth 2 a) 0))
1102               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1103               (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1104          (list 'horiz
1105                (if (memq prec '(196 201)) "(" "")
1106                (append (list 'vcent (if high 3 2))
1107                        (and high (list high))
1108                        '("----- "
1109                          " | |  "
1110                          " | |  "
1111                          " | |  ")
1112                        (if low
1113                            (list (list 'horiz var " = " low))
1114                          (list var)))
1115                (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1116                    " " "")
1117                expr
1118                (if (memq prec '(196 201)) ")" "")))))
1119
1120 ;; The variables math-svo-c, math-svo-wid and math-svo-off are local
1121 ;; to math-stack-value-offset in calc.el, but are used by
1122 ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset..
1123 (defvar math-svo-c)
1124 (defvar math-svo-wid)
1125 (defvar math-svo-off)
1126
1127 (defun math-stack-value-offset-fancy ()
1128   (let ((cwid (+ (math-comp-width math-svo-c))))
1129     (cond ((eq calc-display-just 'right)
1130            (if calc-display-origin
1131                (setq math-svo-wid (max calc-display-origin 5))
1132              (if (integerp calc-line-breaking)
1133                  (setq math-svo-wid calc-line-breaking)))
1134            (setq math-svo-off (- math-svo-wid cwid
1135                         (max (- (length calc-right-label)
1136                                 (if (and (integerp calc-line-breaking)
1137                                          calc-display-origin)
1138                                     (max (- calc-line-breaking
1139                                             calc-display-origin)
1140                                          0)
1141                                   0))
1142                              0))))
1143           (t
1144            (if calc-display-origin
1145                (progn
1146                  (setq math-svo-off (- calc-display-origin (/ cwid 2)))
1147                  (if (integerp calc-line-breaking)
1148                      (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid
1149                                            (length calc-right-label)))))
1150                  (if (>= math-svo-off 0)
1151                      (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid)))))
1152              (if (integerp calc-line-breaking)
1153                  (setq math-svo-wid calc-line-breaking))
1154              (setq math-svo-off (/ (- math-svo-wid cwid) 2)))))
1155     (and (integerp calc-line-breaking)
1156          (or (< math-svo-off 0)
1157              (and calc-display-origin
1158                   (> calc-line-breaking calc-display-origin)))
1159          (setq math-svo-wid calc-line-breaking))))
1160
1161
1162 ;;; Convert a composition to string form, with embedded \n's if necessary.
1163
1164 (defun math-composition-to-string (c &optional width)
1165   (or width (setq width (calc-window-width)))
1166   (if calc-display-raw
1167       (math-comp-to-string-raw c 0)
1168     (if (math-comp-is-flat c)
1169         (math-comp-to-string-flat c width)
1170       (math-vert-comp-to-string
1171        (math-comp-simplify c width)))))
1172
1173 (defvar math-comp-buf-string (make-vector 10 ""))
1174 (defvar math-comp-buf-margin (make-vector 10 0))
1175 (defvar math-comp-buf-level (make-vector 10 0))
1176 (defun math-comp-is-flat (c)     ; check if c's height is 1.
1177   (cond ((not (consp c)) t)
1178         ((memq (car c) '(set break)) t)
1179         ((eq (car c) 'horiz)
1180          (while (and (setq c (cdr c))
1181                      (math-comp-is-flat (car c))))
1182          (null c))
1183         ((memq (car c) '(vleft vcent vright))
1184          (and (= (length c) 3)
1185               (= (nth 1 c) 0)
1186               (math-comp-is-flat (nth 2 c))))
1187         ((eq (car c) 'tag)
1188          (math-comp-is-flat (nth 2 c)))
1189         (t nil)))
1190
1191
1192 ;;; Convert a one-line composition to a string.  Break into multiple
1193 ;;; lines if necessary, choosing break points according to the structure
1194 ;;; of the formula.
1195
1196 ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word,
1197 ;; math-comp-level, math-comp-margin and math-comp-buf are local to
1198 ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term,
1199 ;; which is called by math-comp-to-string-flat.
1200 ;; math-comp-highlight and math-comp-buf are also local to
1201 ;; math-comp-simplify-term and math-comp-simplify respectively, but are used
1202 ;; by math-comp-add-string.
1203 (defvar math-comp-full-width)
1204 (defvar math-comp-highlight)
1205 (defvar math-comp-word)
1206 (defvar math-comp-level)
1207 (defvar math-comp-margin)
1208 (defvar math-comp-buf)
1209 ;; The variable math-comp-pos is local to math-comp-to-string-flat, but
1210 ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term,
1211 ;; which are called by math-comp-to-string-flat.
1212 (defvar math-comp-pos)
1213
1214 (defun math-comp-to-string-flat (c math-comp-full-width)
1215   (if math-comp-sel-hpos
1216       (let ((math-comp-pos 0))
1217         (math-comp-sel-flat-term c))
1218     (let ((math-comp-buf "")
1219           (math-comp-word "")
1220           (math-comp-pos 0)
1221           (math-comp-margin 0)
1222           (math-comp-highlight (and math-comp-selected calc-show-selections))
1223           (math-comp-level -1))
1224       (math-comp-to-string-flat-term '(set -1 0))
1225       (math-comp-to-string-flat-term c)
1226       (math-comp-to-string-flat-term '(break -1))
1227       (let ((str (aref math-comp-buf-string 0))
1228             (prefix ""))
1229         (and (> (length str) 0) (= (aref str 0) ? )
1230              (> (length math-comp-buf) 0)
1231              (let ((k (length math-comp-buf)))
1232                (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n)))
1233                (aset math-comp-buf k ? )
1234                (if (and (< (1+ k) (length math-comp-buf))
1235                         (= (aref math-comp-buf (1+ k)) ? ))
1236                    (progn
1237                      (aset math-comp-buf (1+ k) ?\n)
1238                      (setq prefix " "))
1239                  (setq prefix "\n"))))
1240         (concat math-comp-buf prefix str)))))
1241
1242 (defun math-comp-to-string-flat-term (c)
1243   (cond ((not (consp c))
1244          (if math-comp-highlight
1245              (setq c (math-comp-highlight-string c)))
1246          (setq math-comp-word (if (= (length math-comp-word) 0) c
1247                                 (concat math-comp-word c))
1248                math-comp-pos (+ math-comp-pos (length c))))
1249
1250         ((eq (car c) 'horiz)
1251          (while (setq c (cdr c))
1252            (math-comp-to-string-flat-term (car c))))
1253
1254         ((eq (car c) 'set)
1255          (if (nth 1 c)
1256              (progn
1257                (setq math-comp-level (1+ math-comp-level))
1258                (if (>= math-comp-level (length math-comp-buf-string))
1259                    (setq math-comp-buf-string (vconcat math-comp-buf-string
1260                                                        math-comp-buf-string)
1261                          math-comp-buf-margin (vconcat math-comp-buf-margin
1262                                                        math-comp-buf-margin)
1263                          math-comp-buf-level (vconcat math-comp-buf-level
1264                                                       math-comp-buf-level)))
1265                (aset math-comp-buf-string math-comp-level "")
1266                (aset math-comp-buf-margin math-comp-level (+ math-comp-pos
1267                                                         (or (nth 2 c) 0)))
1268                (aset math-comp-buf-level math-comp-level (nth 1 c)))))
1269
1270         ((eq (car c) 'break)
1271          (if (not calc-line-breaking)
1272              (setq math-comp-buf (concat math-comp-buf math-comp-word)
1273                    math-comp-word "")
1274            (let ((i 0) str)
1275              (if (and (> math-comp-pos math-comp-full-width)
1276                       (progn
1277                         (while (progn
1278                                  (setq str (aref math-comp-buf-string i))
1279                                  (and (= (length str) 0) (< i math-comp-level)))
1280                           (setq i (1+ i)))
1281                         (or (> (length str) 0) (> (length math-comp-buf) 0))))
1282                  (let ((prefix "") mrg wid)
1283                    (setq mrg (aref math-comp-buf-margin i))
1284                    (if (> mrg 12)  ; indenting too far, go back to far left
1285                        (let ((j i) (new (if calc-line-numbering 5 1)))
1286                          '(while (<= j math-comp-level)
1287                            (aset math-comp-buf-margin j
1288                                  (+ (aref math-comp-buf-margin j) (- new mrg)))
1289                            (setq j (1+ j)))
1290                          (setq mrg new)))
1291                    (setq wid (+ (length str) math-comp-margin))
1292                    (and (> (length str) 0) (= (aref str 0) ? )
1293                         (> (length math-comp-buf) 0)
1294                         (let ((k (length math-comp-buf)))
1295                           (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n)))
1296                           (aset math-comp-buf k ? )
1297                           (if (and (< (1+ k) (length math-comp-buf))
1298                                    (= (aref math-comp-buf (1+ k)) ? ))
1299                               (progn
1300                                 (aset math-comp-buf (1+ k) ?\n)
1301                                 (setq prefix " "))
1302                             (setq prefix "\n"))))
1303                    (setq math-comp-buf (concat math-comp-buf prefix str "\n"
1304                                           (make-string mrg ? ))
1305                          math-comp-pos (+ math-comp-pos (- mrg wid))
1306                          math-comp-margin mrg)
1307                    (aset math-comp-buf-string i "")
1308                    (while (<= (setq i (1+ i)) math-comp-level)
1309                      (if (> (aref math-comp-buf-margin i) wid)
1310                          (aset math-comp-buf-margin i
1311                                (+ (aref math-comp-buf-margin i)
1312                                   (- mrg wid))))))))
1313            (if (and (= (nth 1 c) (aref math-comp-buf-level math-comp-level))
1314                     (< math-comp-pos (+ (aref math-comp-buf-margin math-comp-level) 2)))
1315                ()  ; avoid stupid breaks, e.g., "1 +\n really_long_expr"
1316              (let ((str (aref math-comp-buf-string math-comp-level)))
1317                (setq str (if (= (length str) 0)
1318                              math-comp-word
1319                            (concat str math-comp-word))
1320                      math-comp-word "")
1321                (while (< (nth 1 c) (aref math-comp-buf-level math-comp-level))
1322                  (setq math-comp-level (1- math-comp-level))
1323                  (or (= (length (aref math-comp-buf-string math-comp-level)) 0)
1324                      (setq str (concat (aref math-comp-buf-string math-comp-level)
1325                                        str))))
1326                (aset math-comp-buf-string math-comp-level str)))))
1327
1328         ((eq (car c) 'tag)
1329          (cond ((eq (nth 1 c) math-comp-selected)
1330                 (let ((math-comp-highlight (not calc-show-selections)))
1331                   (math-comp-to-string-flat-term (nth 2 c))))
1332                ((eq (nth 1 c) t)
1333                 (let ((math-comp-highlight nil))
1334                   (math-comp-to-string-flat-term (nth 2 c))))
1335                (t (math-comp-to-string-flat-term (nth 2 c)))))
1336
1337         (t (math-comp-to-string-flat-term (nth 2 c)))))
1338
1339 (defun math-comp-highlight-string (s)
1340   (setq s (copy-sequence s))
1341   (let ((i (length s)))
1342     (while (>= (setq i (1- i)) 0)
1343       (or (memq (aref s i) '(32 ?\n))
1344           (aset s i (if calc-show-selections ?\. ?\#)))))
1345   s)
1346
1347
1348 ;; The variable math-comp-sel-tag is local to calc-find-selected-part
1349 ;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1350 ;; math-comp-add-string-sel, which are called (indirectly) by
1351 ;; calc-find-selected-part.
1352 (defvar math-comp-sel-tag)
1353
1354 (defun math-comp-sel-flat-term (c)
1355   (cond ((not (consp c))
1356          (setq math-comp-pos (+ math-comp-pos (length c))))
1357         ((memq (car c) '(set break)))
1358         ((eq (car c) 'horiz)
1359          (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000))
1360            (math-comp-sel-flat-term (car c))))
1361         ((eq (car c) 'tag)
1362          (if (<= math-comp-pos math-comp-sel-cpos)
1363              (progn
1364                (math-comp-sel-flat-term (nth 2 c))
1365                (if (> math-comp-pos math-comp-sel-cpos)
1366                    (setq math-comp-sel-tag c
1367                          math-comp-sel-cpos 1000000)))
1368            (math-comp-sel-flat-term (nth 2 c))))
1369         (t (math-comp-sel-flat-term (nth 2 c)))))
1370
1371
1372 ;;; Simplify a composition to a canonical form consisting of
1373 ;;;   (vleft n "string" "string" "string" ...)
1374 ;;; where 0 <= n < number-of-strings.
1375
1376 ;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1377 ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1378 ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1379 ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1380 ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1381 ;; math-comp-simplify.
1382 (defvar math-comp-base)
1383 (defvar math-comp-hgt)
1384 (defvar math-comp-tag)
1385 (defvar math-comp-hpos)
1386 (defvar math-comp-vpos)
1387
1388 (defun math-comp-simplify (c full-width)
1389   (let ((math-comp-buf (list ""))
1390         (math-comp-base 0)
1391         (math-comp-hgt 1)
1392         (math-comp-hpos 0)
1393         (math-comp-vpos 0)
1394         (math-comp-highlight (and math-comp-selected calc-show-selections))
1395         (math-comp-tag nil))
1396     (math-comp-simplify-term c)
1397     (cons 'vleft (cons math-comp-base math-comp-buf))))
1398
1399 (defun math-comp-add-string (s h v)
1400   (and (> (length s) 0)
1401        (let ((vv (+ v math-comp-base)))
1402          (if math-comp-sel-hpos
1403              (math-comp-add-string-sel h vv (length s) 1)
1404            (if (< vv 0)
1405                (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf)
1406                      math-comp-base (- v)
1407                      math-comp-hgt (- math-comp-hgt vv)
1408                      vv 0)
1409              (if (>= vv math-comp-hgt)
1410                  (setq math-comp-buf (nconc math-comp-buf
1411                                        (make-list (1+ (- vv math-comp-hgt)) ""))
1412                        math-comp-hgt (1+ vv))))
1413            (let ((str (nthcdr vv math-comp-buf)))
1414              (setcar str (concat (car str)
1415                                  (make-string (- h (length (car str))) 32)
1416                                  (if math-comp-highlight
1417                                      (math-comp-highlight-string s)
1418                                    s))))))))
1419
1420 (defun math-comp-add-string-sel (x y w h)
1421   (if (and (<= y math-comp-sel-vpos)
1422            (> (+ y h) math-comp-sel-vpos)
1423            (<= x math-comp-sel-hpos)
1424            (> (+ x w) math-comp-sel-hpos))
1425       (setq math-comp-sel-tag math-comp-tag
1426             math-comp-sel-vpos 10000)))
1427
1428 (defun math-comp-simplify-term (c)
1429   (cond ((stringp c)
1430          (math-comp-add-string c math-comp-hpos math-comp-vpos)
1431          (setq math-comp-hpos (+ math-comp-hpos (length c))))
1432         ((memq (car c) '(set break))
1433          nil)
1434         ((eq (car c) 'horiz)
1435          (while (setq c (cdr c))
1436            (math-comp-simplify-term (car c))))
1437         ((memq (car c) '(vleft vcent vright))
1438          (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c))
1439                               (1- (math-comp-ascent (nth 2 c)))))
1440                 (widths (mapcar 'math-comp-width (cdr (cdr c))))
1441                 (maxwid (apply 'max widths))
1442                 (bias (cond ((eq (car c) 'vleft) 0)
1443                             ((eq (car c) 'vcent) 1)
1444                             (t 2))))
1445            (setq c (cdr c))
1446            (while (setq c (cdr c))
1447              (if (eq (car-safe (car c)) 'rule)
1448                  (math-comp-add-string (make-string maxwid (nth 1 (car c)))
1449                                        math-comp-hpos math-comp-vpos)
1450                (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid
1451                                                            (car widths)))
1452                                                 2))))
1453                  (math-comp-simplify-term (car c))))
1454              (and (cdr c)
1455                   (setq math-comp-vpos (+ math-comp-vpos
1456                                      (+ (math-comp-descent (car c))
1457                                         (math-comp-ascent (nth 1 c))))
1458                         widths (cdr widths))))
1459            (setq math-comp-hpos (+ math-comp-hpos maxwid))))
1460         ((eq (car c) 'supscr)
1461          (let* ((asc (or 1 (math-comp-ascent (nth 1 c))))
1462                 (desc (math-comp-descent (nth 2 c)))
1463                 (oldh (prog1
1464                           math-comp-hpos
1465                         (math-comp-simplify-term (nth 1 c))))
1466                 (math-comp-vpos (- math-comp-vpos (+ asc desc))))
1467            (math-comp-simplify-term (nth 2 c))
1468            (if math-comp-sel-hpos
1469                (math-comp-add-string-sel oldh
1470                                          (- math-comp-vpos
1471                                             -1
1472                                             (math-comp-ascent (nth 2 c)))
1473                                          (- math-comp-hpos oldh)
1474                                          (math-comp-height c)))))
1475         ((eq (car c) 'subscr)
1476          (let* ((asc (math-comp-ascent (nth 2 c)))
1477                 (desc (math-comp-descent (nth 1 c)))
1478                 (oldv math-comp-vpos)
1479                 (oldh (prog1
1480                           math-comp-hpos
1481                         (math-comp-simplify-term (nth 1 c))))
1482                 (math-comp-vpos (+ math-comp-vpos (+ asc desc))))
1483            (math-comp-simplify-term (nth 2 c))
1484            (if math-comp-sel-hpos
1485                (math-comp-add-string-sel oldh oldv
1486                                          (- math-comp-hpos oldh)
1487                                          (math-comp-height c)))))
1488         ((eq (car c) 'tag)
1489          (cond ((eq (nth 1 c) math-comp-selected)
1490                 (let ((math-comp-highlight (not calc-show-selections)))
1491                   (math-comp-simplify-term (nth 2 c))))
1492                ((eq (nth 1 c) t)
1493                 (let ((math-comp-highlight nil))
1494                   (math-comp-simplify-term (nth 2 c))))
1495                (t (let ((math-comp-tag c))
1496                     (math-comp-simplify-term (nth 2 c))))))))
1497
1498
1499 ;;; Measuring a composition.
1500
1501 (defun math-comp-first-char (c)
1502   (cond ((stringp c)
1503          (and (> (length c) 0)
1504               (elt c 0)))
1505         ((memq (car c) '(horiz subscr supscr))
1506          (while (and (setq c (cdr c))
1507                      (math-comp-is-null (car c))))
1508          (and c (math-comp-first-char (car c))))
1509         ((eq (car c) 'tag)
1510          (math-comp-first-char (nth 2 c)))))
1511
1512 (defun math-comp-first-string (c)
1513   (cond ((stringp c)
1514          (and (> (length c) 0)
1515               c))
1516         ((eq (car c) 'horiz)
1517          (while (and (setq c (cdr c))
1518                      (math-comp-is-null (car c))))
1519          (and c (math-comp-first-string (car c))))
1520         ((eq (car c) 'tag)
1521          (math-comp-first-string (nth 2 c)))))
1522
1523 (defun math-comp-last-char (c)
1524   (cond ((stringp c)
1525          (and (> (length c) 0)
1526               (elt c (1- (length c)))))
1527         ((eq (car c) 'horiz)
1528          (let ((c (reverse (cdr c))))
1529            (while (and c (math-comp-is-null (car c)))
1530              (setq c (cdr c)))
1531            (and c (math-comp-last-char (car c)))))
1532         ((eq (car c) 'tag)
1533          (math-comp-last-char (nth 2 c)))))
1534
1535 (defun math-comp-is-null (c)
1536   (cond ((stringp c) (= (length c) 0))
1537         ((memq (car c) '(horiz subscr supscr))
1538          (while (and (setq c (cdr c))
1539                      (math-comp-is-null (car c))))
1540          (null c))
1541         ((eq (car c) 'tag)
1542          (math-comp-is-null (nth 2 c)))
1543         ((memq (car c) '(set break)) t)))
1544
1545 (defun math-comp-width (c)
1546   (cond ((not (consp c)) (length c))
1547         ((memq (car c) '(horiz subscr supscr))
1548          (let ((accum 0))
1549            (while (setq c (cdr c))
1550              (setq accum (+ accum (math-comp-width (car c)))))
1551            accum))
1552         ((memq (car c) '(vcent vleft vright))
1553          (setq c (cdr c))
1554          (let ((accum 0))
1555            (while (setq c (cdr c))
1556              (setq accum (max accum (math-comp-width (car c)))))
1557            accum))
1558         ((eq (car c) 'tag)
1559          (math-comp-width (nth 2 c)))
1560         (t 0)))
1561
1562 (defun math-comp-height (c)
1563   (if (stringp c)
1564       1
1565     (+ (math-comp-ascent c) (math-comp-descent c))))
1566
1567 (defun math-comp-ascent (c)
1568   (cond ((not (consp c)) 1)
1569         ((eq (car c) 'horiz)
1570          (let ((accum 0))
1571            (while (setq c (cdr c))
1572              (setq accum (max accum (math-comp-ascent (car c)))))
1573            accum))
1574         ((memq (car c) '(vcent vleft vright))
1575          (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1))
1576         ((eq (car c) 'supscr)
1577          (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c)))))
1578         ((eq (car c) 'subscr)
1579          (math-comp-ascent (nth 1 c)))
1580         ((eq (car c) 'tag)
1581          (math-comp-ascent (nth 2 c)))
1582         (t 1)))
1583
1584 (defun math-comp-descent (c)
1585   (cond ((not (consp c)) 0)
1586         ((eq (car c) 'horiz)
1587          (let ((accum 0))
1588            (while (setq c (cdr c))
1589              (setq accum (max accum (math-comp-descent (car c)))))
1590            accum))
1591         ((memq (car c) '(vcent vleft vright))
1592          (let ((accum (- (nth 1 c))))
1593            (setq c (cdr c))
1594            (while (setq c (cdr c))
1595              (setq accum (+ accum (math-comp-height (car c)))))
1596            (max (1- accum) 0)))
1597         ((eq (car c) 'supscr)
1598          (math-comp-descent (nth 1 c)))
1599         ((eq (car c) 'subscr)
1600          (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c))))
1601         ((eq (car c) 'tag)
1602          (math-comp-descent (nth 2 c)))
1603         (t 0)))
1604
1605 (defun calcFunc-cwidth (a &optional prec)
1606   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1607   (math-comp-width (math-compose-expr a (or prec 0))))
1608
1609 (defun calcFunc-cheight (a &optional prec)
1610   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1611   (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1612            (memq (length a) '(2 3))
1613            (eq (nth 1 a) 0))
1614       0
1615     (math-comp-height (math-compose-expr a (or prec 0)))))
1616
1617 (defun calcFunc-cascent (a &optional prec)
1618   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1619   (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1620            (memq (length a) '(2 3))
1621            (eq (nth 1 a) 0))
1622       0
1623     (math-comp-ascent (math-compose-expr a (or prec 0)))))
1624
1625 (defun calcFunc-cdescent (a &optional prec)
1626   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1627   (math-comp-descent (math-compose-expr a (or prec 0))))
1628
1629
1630 ;;; Convert a simplified composition into string form.
1631
1632 (defun math-vert-comp-to-string (c)
1633   (if (stringp c)
1634       c
1635     (math-vert-comp-to-string-step (cdr (cdr c)))))
1636
1637 (defun math-vert-comp-to-string-step (c)
1638   (if (cdr c)
1639       (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c)))
1640     (car c)))
1641
1642
1643 ;;; Convert a composition to a string in "raw" form (for debugging).
1644
1645 (defun math-comp-to-string-raw (c indent)
1646   (cond ((or (not (consp c)) (eq (car c) 'set))
1647          (prin1-to-string c))
1648         ((null (cdr c))
1649          (concat "(" (symbol-name (car c)) ")"))
1650         (t
1651          (let ((next-indent (+ indent 2 (length (symbol-name (car c))))))
1652            (concat "("
1653                    (symbol-name (car c))
1654                    " "
1655                    (math-comp-to-string-raw (nth 1 c) next-indent)
1656                    (math-comp-to-string-raw-step (cdr (cdr c))
1657                                                  next-indent)
1658                    ")")))))
1659
1660 (defun math-comp-to-string-raw-step (cl indent)
1661   (if cl
1662       (concat "\n"
1663               (make-string indent 32)
1664               (math-comp-to-string-raw (car cl) indent)
1665               (math-comp-to-string-raw-step (cdr cl) indent))
1666     ""))
1667
1668 (provide 'calccomp)
1669
1670 ;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78
1671 ;;; calccomp.el ends here