lisp/calc/calccomp.el

   1 ;;; calccomp.el --- composition functions for Calc
   2
   3 ;; Copyright (C) 1990-1993, 2001-2014 Free Software Foundation, Inc.
   4
   5 ;; Author: David Gillespie <daveg@synaptics.com>
   6 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   7
   8 ;; This file is part of GNU Emacs.
   9
  10 ;; GNU Emacs is free software: you can redistribute it and/or modify
  11 ;; it under the terms of the GNU General Public License as published by
  12 ;; the Free Software Foundation, either version 3 of the License, or
  13 ;; (at your option) any later version.
  14
  15 ;; GNU Emacs is distributed in the hope that it will be useful,
  16 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  18 ;; GNU General Public License for more details.
  19
  20 ;; You should have received a copy of the GNU General Public License
  21 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  22
  23 ;;; Commentary:
  24
  25 ;;; Code:
  26
  27 ;; This file is autoloaded from calc-ext.el.
  28
  29 (require 'calc-ext)
  30 (require 'calc-macs)
  31
  32 ;;; A "composition" has one of the following forms:
  33 ;;;
  34 ;;;    "string"              A literal string
  35 ;;;
  36 ;;;    (horiz C1 C2 ...)     Horizontally abutted sub-compositions
  37 ;;;
  38 ;;;    (set LEVEL OFF)       Set left margin + offset for line-break level
  39 ;;;    (break LEVEL)         A potential line-break point
  40 ;;;
  41 ;;;    (vleft N C1 C2 ...)   Vertically stacked, left-justified sub-comps
  42 ;;;    (vcent N C1 C2 ...)   Vertically stacked, centered sub-comps
  43 ;;;    (vright N C1 C2 ...)  Vertically stacked, right-justified sub-comps
  44 ;;;                          N specifies baseline of the stack, 0=top line.
  45 ;;;
  46 ;;;    (supscr C1 C2)        Composition C1 with superscript C2
  47 ;;;    (subscr C1 C2)        Composition C1 with subscript C2
  48 ;;;    (rule X)              Horizontal line of X, full width of enclosing comp
  49 ;;;
  50 ;;;    (tag X C)             Composition C corresponds to sub-expression X
  51
  52 ;; math-comp-just and math-comp-comma-spc are local to
  53 ;; math-compose-expr, but are used by math-compose-matrix, which is
  54 ;; called by math-compose-expr
  55 (defvar math-comp-just)
  56 (defvar math-comp-comma-spc)
  57
  58 ;; math-comp-vector-prec is local to math-compose-expr, but is used by
  59 ;; math-compose-matrix and math-compose-rows, which are called by
  60 ;; math-compose-expr.
  61 (defvar math-comp-vector-prec)
  62
  63 ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are
  64 ;; local to math-compose-expr, but are used by math-compose-rows, which is
  65 ;; called by math-compose-expr.
  66 (defvar math-comp-left-bracket)
  67 (defvar math-comp-right-bracket)
  68 (defvar math-comp-comma)
  69
  70 (defun math-compose-var (a)
  71   (let (v sn)
  72     (if (and math-compose-hash-args
  73              (let ((p calc-arg-values))
  74                (setq v 1)
  75                (while (and p (not (equal (car p) a)))
  76                  (setq p (and (eq math-compose-hash-args t) (cdr p))
  77                        v (1+ v)))
  78                p))
  79         (if (eq math-compose-hash-args 1)
  80             "#"
  81           (format "#%d" v))
  82       (setq sn (symbol-name (nth 1 a)))
  83       (if (memq calc-language calc-lang-allow-percentsigns)
  84           (setq sn (math-to-percentsigns sn)))
  85       (if (memq calc-language calc-lang-allow-underscores)
  86           (setq sn (math-to-underscores sn)))
  87       sn)))
  88
  89 ;;; Give multiplication precedence when composing to avoid
  90 ;;; writing a*(b c) instead of a b c
  91 (defun math-compose-expr (a prec &optional div)
  92   (let ((calc-multiplication-has-precedence t)
  93         (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                   (calc-twos-complement-mode nil))
 384               (math-compose-expr (nth 2 a) 0))))
 385      ((and (eq (car a) '/)
 386            (eq calc-language 'big))
 387       (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac))
 388                                          'flat 'big)))
 389                   (math-compose-expr (nth 1 a) 0)))
 390             (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac))
 391                                          'flat 'big)))
 392                   (math-compose-expr (nth 2 a) 0))))
 393         (list 'vcent
 394               (math-comp-height a1)
 395               a1 '(rule ?-) a2)))
 396      ((and (eq (car a) 'calcFunc-lambda)
 397            (> (length a) 2)
 398            (memq calc-language '(nil flat big)))
 399       (let ((p (cdr a))
 400             (ap calc-arg-values)
 401             (math-compose-hash-args (if (= (length a) 3) 1 t)))
 402         (while (and (cdr p) (equal (car p) (car ap)))
 403           (setq p (cdr p) ap (cdr ap)))
 404         (append '(horiz "<")
 405                 (if (cdr p)
 406                     (list (math-compose-vector
 407                            (nreverse (cdr (reverse (cdr a)))) ", " 0)
 408                           " : ")
 409                   nil)
 410                 (list (math-compose-expr (nth (1- (length a)) a) 0)
 411                       ">"))))
 412      ((and (eq (car a) 'calcFunc-string)
 413            (= (length a) 2)
 414            (math-vectorp (nth 1 a))
 415            (math-vector-is-string (nth 1 a)))
 416       (if (eq calc-language 'unform)
 417           (concat "string(" (math-vector-to-string (nth 1 a) t) ")")
 418         (math-vector-to-string (nth 1 a) nil)))
 419      ((and (eq (car a) 'calcFunc-bstring)
 420            (= (length a) 2)
 421            (math-vectorp (nth 1 a))
 422            (math-vector-is-string (nth 1 a)))
 423       (if (eq calc-language 'unform)
 424           (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")")
 425         (let ((c nil)
 426               (s (math-vector-to-string (nth 1 a) nil))
 427               p)
 428           (while (string-match "[^ ] +[^ ]" s)
 429             (setq p (1- (match-end 0))
 430                   c (cons (list 'break math-compose-level)
 431                           (cons (substring s 0 p)
 432                                 c))
 433                   s (substring s p)))
 434           (setq c (nreverse (cons s c)))
 435           (or (= prec -123)
 436               (setq c (cons (list 'set math-compose-level 2) c)))
 437           (cons 'horiz c))))
 438      ((and (eq (car a) 'calcFunc-cprec)
 439            (not (eq calc-language 'unform))
 440            (= (length a) 3)
 441            (integerp (nth 2 a)))
 442       (let ((c (math-compose-expr (nth 1 a) -1)))
 443         (if (> prec (nth 2 a))
 444             (if (setq spfn (get calc-language 'math-big-parens))
 445                 (list 'horiz (car spfn) c (cdr spfn))
 446               (list 'horiz "(" c ")"))
 447           c)))
 448      ((and (eq (car a) 'calcFunc-choriz)
 449            (not (eq calc-language 'unform))
 450            (memq (length a) '(2 3 4))
 451            (math-vectorp (nth 1 a))
 452            (if (integerp (nth 2 a))
 453                (or (null (nth 3 a))
 454                    (and (math-vectorp (nth 3 a))
 455                         (math-vector-is-string (nth 3 a))))
 456              (or (null (nth 2 a))
 457                  (and (math-vectorp (nth 2 a))
 458                       (math-vector-is-string (nth 2 a))))))
 459       (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a)))
 460              (sep (nth (if cprec 3 2) a))
 461              (bprec nil))
 462         (if sep
 463             (math-compose-vector (cdr (nth 1 a))
 464                                  (math-vector-to-string sep nil)
 465                                  (or cprec prec))
 466           (cons 'horiz (mapcar (function
 467                                 (lambda (x)
 468                                   (if (eq (car-safe x) 'calcFunc-bstring)
 469                                       (prog1
 470                                           (math-compose-expr
 471                                            x (or bprec cprec prec))
 472                                         (setq bprec -123))
 473                                     (math-compose-expr x (or cprec prec)))))
 474                                (cdr (nth 1 a)))))))
 475      ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert))
 476            (not (eq calc-language 'unform))
 477            (memq (length a) '(2 3))
 478            (math-vectorp (nth 1 a))
 479            (or (null (nth 2 a))
 480                (integerp (nth 2 a))))
 481       (let* ((base 0)
 482              (v 0)
 483              (prec (or (nth 2 a) prec))
 484              (c (mapcar (function
 485                          (lambda (x)
 486                            (let ((b nil) (cc nil) a d)
 487                              (if (and (memq (car-safe x) '(calcFunc-cbase
 488                                                            calcFunc-ctbase
 489                                                            calcFunc-cbbase))
 490                                       (memq (length x) '(1 2)))
 491                                  (setq b (car x)
 492                                        x (nth 1 x)))
 493                              (if (and (eq (car-safe x) 'calcFunc-crule)
 494                                       (memq (length x) '(1 2))
 495                                       (or (null (nth 1 x))
 496                                           (and (math-vectorp (nth 1 x))
 497                                                (= (length (nth 1 x)) 2)
 498                                                (math-vector-is-string
 499                                                 (nth 1 x)))
 500                                           (and (natnump (nth 1 x))
 501                                                (<= (nth 1 x) 255))))
 502                                  (setq cc (list
 503                                            'rule
 504                                            (if (math-vectorp (nth 1 x))
 505                                                (aref (math-vector-to-string
 506                                                       (nth 1 x) nil) 0)
 507                                              (or (nth 1 x) ?-))))
 508                                (or (and (memq (car-safe x) '(calcFunc-cvspace
 509                                                              calcFunc-ctspace
 510                                                              calcFunc-cbspace))
 511                                         (memq (length x) '(2 3))
 512                                         (eq (nth 1 x) 0))
 513                                    (null x)
 514                                    (setq cc (math-compose-expr x prec))))
 515                              (setq a (if cc (math-comp-ascent cc) 0)
 516                                    d (if cc (math-comp-descent cc) 0))
 517                              (if (eq b 'calcFunc-cbase)
 518                                  (setq base (+ v a -1))
 519                                (if (eq b 'calcFunc-ctbase)
 520                                    (setq base v)
 521                                  (if (eq b 'calcFunc-cbbase)
 522                                      (setq base (+ v a d -1)))))
 523                              (setq v (+ v a d))
 524                              cc)))
 525                         (cdr (nth 1 a)))))
 526         (setq c (delq nil c))
 527         (if c
 528             (cons (if (eq (car a) 'calcFunc-cvert) 'vcent
 529                     (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright))
 530                   (cons base c))
 531           " ")))
 532      ((and (memq (car a) '(calcFunc-csup calcFunc-csub))
 533            (not (eq calc-language 'unform))
 534            (memq (length a) '(3 4))
 535            (or (null (nth 3 a))
 536                (integerp (nth 3 a))))
 537       (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr)
 538             (math-compose-expr (nth 1 a) (or (nth 3 a) 0))
 539             (math-compose-expr (nth 2 a) 0)))
 540      ((and (eq (car a) 'calcFunc-cflat)
 541            (not (eq calc-language 'unform))
 542            (memq (length a) '(2 3))
 543            (or (null (nth 2 a))
 544                (integerp (nth 2 a))))
 545       (let ((calc-language (if (memq calc-language '(nil big))
 546                                'flat calc-language)))
 547         (math-compose-expr (nth 1 a) (or (nth 2 a) 0))))
 548      ((and (eq (car a) 'calcFunc-cspace)
 549            (memq (length a) '(2 3))
 550            (natnump (nth 1 a)))
 551       (if (nth 2 a)
 552           (cons 'horiz (make-list (nth 1 a)
 553                                   (if (and (math-vectorp (nth 2 a))
 554                                            (math-vector-is-string (nth 2 a)))
 555                                       (math-vector-to-string (nth 2 a) nil)
 556                                     (math-compose-expr (nth 2 a) 0))))
 557         (make-string (nth 1 a) ?\ )))
 558      ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
 559            (memq (length a) '(2 3))
 560            (natnump (nth 1 a)))
 561       (if (= (nth 1 a) 0)
 562           ""
 563         (let* ((c (if (nth 2 a)
 564                       (if (and (math-vectorp (nth 2 a))
 565                                (math-vector-is-string (nth 2 a)))
 566                           (math-vector-to-string (nth 2 a) nil)
 567                         (math-compose-expr (nth 2 a) 0))
 568                     " "))
 569                (ca (math-comp-ascent c))
 570                (cd (math-comp-descent c)))
 571           (cons 'vleft
 572                 (cons (if (eq (car a) 'calcFunc-ctspace)
 573                           (1- ca)
 574                         (if (eq (car a) 'calcFunc-cbspace)
 575                             (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca))
 576                           (/ (1- (* (nth 1 a) (+ ca cd))) 2)))
 577                       (make-list (nth 1 a) c))))))
 578      ((and (eq (car a) 'calcFunc-evalto)
 579            (setq calc-any-evaltos t)
 580            (setq spfn (get calc-language 'math-evalto))
 581            (= math-compose-level (if math-comp-tagged 2 1))
 582            (= (length a) 3))
 583       (list 'horiz
 584             (car spfn)
 585             (math-compose-expr (nth 1 a) 0)
 586             (cdr spfn)
 587             (math-compose-expr (nth 2 a) 0)))
 588      (t
 589       (let ((op (and (not (eq calc-language 'unform))
 590                      (if (and (eq (car a) 'calcFunc-if) (= (length a) 4))
 591                          (assoc "?" math-expr-opers)
 592                        (math-assq2 (car a) math-expr-opers)))))
 593         (cond ((and op
 594                     (or (= (length a) 3) (eq (car a) 'calcFunc-if))
 595                     (/= (nth 3 op) -1))
 596                (cond
 597                 ((or
 598                   (> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op))))
 599                   (and div (eq (car a) '*)))
 600                  (if (and (memq calc-language '(tex latex))
 601                           (not (math-tex-expr-is-flat a)))
 602                      (if (eq (car-safe a) '/)
 603                          (list 'horiz "{" (math-compose-expr a -1) "}")
 604                        (list 'horiz "\\left( "
 605                              (math-compose-expr a -1)
 606                              " \\right)"))
 607                    (if (eq calc-language 'eqn)
 608                        (if (or (eq (car-safe a) '/)
 609                                (= (/ prec 100) 9))
 610                            (list 'horiz "{" (math-compose-expr a -1) "}")
 611                          (if (math-tex-expr-is-flat a)
 612                              (list 'horiz "( " (math-compose-expr a -1) " )")
 613                            (list 'horiz "{left ( "
 614                                  (math-compose-expr a -1)
 615                                  " right )}")))
 616                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 617                 ((and (memq calc-language '(tex latex))
 618                       (memq (car a) '(/ calcFunc-choose calcFunc-evalto))
 619                       (>= prec 0))
 620                  (list 'horiz "{" (math-compose-expr a -1) "}"))
 621                 ((eq (car a) 'calcFunc-if)
 622                  (list 'horiz
 623                        (math-compose-expr (nth 1 a) (nth 2 op))
 624                        " ? "
 625                        (math-compose-expr (nth 2 a) 0)
 626                        " : "
 627                        (math-compose-expr (nth 3 a) (nth 3 op))))
 628                 (t
 629                  (let* ((math-comp-tagged (and math-comp-tagged
 630                                                (not (math-primp a))
 631                                                math-comp-tagged))
 632                         (setlev (if (= prec (min (nth 2 op) (nth 3 op)))
 633                                     (progn
 634                                       (setq math-compose-level
 635                                             (1- math-compose-level))
 636                                       nil)
 637                                   math-compose-level))
 638                         (lhs (math-compose-expr (nth 1 a) (nth 2 op)))
 639                         (rhs (math-compose-expr (nth 2 a) (nth 3 op) (eq (nth 1 op) '/))))
 640                    (and (equal (car op) "^")
 641                         (eq (math-comp-first-char lhs) ?-)
 642                         (setq lhs (list 'horiz "(" lhs ")")))
 643                    (and (memq calc-language '(tex latex))
 644                         (or (equal (car op) "^") (equal (car op) "_"))
 645                         (not (and (stringp rhs) (= (length rhs) 1)))
 646                         (setq rhs (list 'horiz "{" rhs "}")))
 647                    (or (and (eq (car a) '*)
 648                             (or (null calc-language)
 649                                 (assoc "2x" math-expr-opers))
 650                             (let* ((prevt (math-prod-last-term (nth 1 a)))
 651                                    (nextt (math-prod-first-term (nth 2 a)))
 652                                    (prevc (or (math-comp-last-char lhs)
 653                                               (and (memq (car-safe prevt)
 654                                                          '(^ calcFunc-subscr
 655                                                              calcFunc-sqrt
 656                                                              frac))
 657                                                    (eq calc-language 'big)
 658                                                    ?0)))
 659                                    (nextc (or (math-comp-first-char rhs)
 660                                               (and (memq (car-safe nextt)
 661                                                          '(calcFunc-sqrt
 662                                                            calcFunc-sum
 663                                                            calcFunc-prod
 664                                                            calcFunc-integ))
 665                                                    (eq calc-language 'big)
 666                                                    ?0))))
 667                               (and prevc nextc
 668                                    (or (and (>= nextc ?a) (<= nextc ?z))
 669                                        (and (>= nextc ?A) (<= nextc ?Z))
 670                                        (and (>= nextc ?α) (<= nextc ?ω))
 671                                        (and (>= nextc ?Α) (<= nextc ?Ω))
 672                                        (and (>= nextc ?0) (<= nextc ?9))
 673                                        (memq nextc '(?. ?_ ?#
 674                                                         ?\( ?\[ ?\{))
 675                                        (and (eq nextc ?\\)
 676                                             (not (string-match
 677                                                   "\\`\\\\left("
 678                                                   (math-comp-first-string
 679                                                    rhs)))))
 680                                    (not (and (eq (car-safe prevt) 'var)
 681                                              (eq nextc ?\()))
 682                                    (list 'horiz
 683                                          (list 'set setlev 1)
 684                                          lhs
 685                                          (list 'break math-compose-level)
 686                                          " "
 687                                          rhs))))
 688                        (list 'horiz
 689                              (list 'set setlev 1)
 690                              lhs
 691                              (list 'break math-compose-level)
 692                              (if (or (equal (car op) "^")
 693                                      (equal (car op) "_")
 694                                      (equal (car op) "**")
 695                                      (and (equal (car op) "*")
 696                                           (math-comp-last-char lhs)
 697                                           (math-comp-first-char rhs))
 698                                      (and (equal (car op) "/")
 699                                           (math-num-integerp (nth 1 a))
 700                                           (math-integerp (nth 2 a))))
 701                                  (car op)
 702                                (if (and (eq calc-language 'big)
 703                                         (equal (car op) "=>"))
 704                                    "  =>  "
 705                                  (concat " " (car op) " ")))
 706                              rhs))))))
 707               ((and op (= (length a) 2) (= (nth 3 op) -1))
 708                (cond
 709                 ((or (> prec (or (nth 4 op) (nth 2 op)))
 710                      (and (not (eq (assoc (car op) math-expr-opers) op))
 711                           (> prec 0)))   ; don't write x% + y
 712                  (if (and (memq calc-language '(tex latex))
 713                           (not (math-tex-expr-is-flat a)))
 714                      (list 'horiz "\\left( "
 715                            (math-compose-expr a -1)
 716                            " \\right)")
 717                    (if (eq calc-language 'eqn)
 718                        (if (= (/ prec 100) 9)
 719                            (list 'horiz "{" (math-compose-expr a -1) "}")
 720                          (if (math-tex-expr-is-flat a)
 721                              (list 'horiz "{( " (math-compose-expr a -1) " )}")
 722                            (list 'horiz "{left ( "
 723                                  (math-compose-expr a -1)
 724                                  " right )}")))
 725                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 726                 (t
 727                  (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op))))
 728                  (list 'horiz
 729                        lhs
 730                        (if (or (> (length (car op)) 1)
 731                                (not (math-comp-is-flat lhs)))
 732                            (concat " " (car op))
 733                          (car op)))))))
 734               ((and op (= (length a) 2) (= (nth 2 op) -1))
 735                (cond
 736                 ((eq (nth 3 op) 0)
 737                  (let ((lr (and (memq calc-language '(tex latex))
 738                                 (not (math-tex-expr-is-flat (nth 1 a))))))
 739                    (list 'horiz
 740                          (if lr "\\left" "")
 741                          (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'" (car op))
 742                              (substring (car op) 1)
 743                            (car op))
 744                          (if (or lr (> (length (car op)) 2)) " " "")
 745                          (math-compose-expr (nth 1 a) -1)
 746                          (if (or lr (> (length (car op)) 2)) " " "")
 747                          (if lr "\\right" "")
 748                          (car (nth 1 (memq op math-expr-opers))))))
 749                 ((> prec (or (nth 4 op) (nth 3 op)))
 750                  (if (and (memq calc-language '(tex latex))
 751                           (not (math-tex-expr-is-flat a)))
 752                      (list 'horiz "\\left( "
 753                            (math-compose-expr a -1)
 754                            " \\right)")
 755                    (if (eq calc-language 'eqn)
 756                        (if (= (/ prec 100) 9)
 757                            (list 'horiz "{" (math-compose-expr a -1) "}")
 758                          (if (math-tex-expr-is-flat a)
 759                              (list 'horiz "{( " (math-compose-expr a -1) " )}")
 760                            (list 'horiz "{left ( "
 761                                  (math-compose-expr a -1)
 762                                  " right )}")))
 763                      (list 'horiz "(" (math-compose-expr a 0) ")"))))
 764                 (t
 765                  (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op))))
 766                    (list 'horiz
 767                          (let ((ops (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'"
 768                                                       (car op))
 769                                         (substring (car op) 1)
 770                                       (car op))))
 771                            (if (or (> (length ops) 1)
 772                                    (not (math-comp-is-flat rhs)))
 773                                (concat ops " ")
 774                              ops))
 775                          rhs)))))
 776               ((and (eq calc-language 'big)
 777                     (setq op (get (car a) 'math-compose-big))
 778                     (funcall op a prec)))
 779               ((and (setq op (assq calc-language
 780                                    '( ( nil . math-compose-normal )
 781                                       ( flat . math-compose-normal )
 782                                       ( big . math-compose-normal )
 783                                       ( c . math-compose-c )
 784                                       ( pascal . math-compose-pascal )
 785                                       ( fortran . math-compose-fortran )
 786                                       ( tex . math-compose-tex )
 787                                       ( latex . math-compose-latex )
 788                                       ( eqn . math-compose-eqn )
 789                                       ( yacas . math-compose-yacas )
 790                                       ( maxima . math-compose-maxima )
 791                                       ( giac . math-compose-giac )
 792                                       ( math . math-compose-math )
 793                                       ( maple . math-compose-maple ))))
 794                     (setq op (get (car a) (cdr op)))
 795                     (funcall op a prec)))
 796               (t
 797                (let* ((func (car a))
 798                       (func2 (assq func '(( mod . calcFunc-makemod )
 799                                           ( sdev . calcFunc-sdev )
 800                                           ( + . calcFunc-add )
 801                                           ( - . calcFunc-sub )
 802                                           ( * . calcFunc-mul )
 803                                           ( / . calcFunc-div )
 804                                           ( % . calcFunc-mod )
 805                                           ( ^ . calcFunc-pow )
 806                                           ( neg . calcFunc-neg )
 807                                           ( | . calcFunc-vconcat ))))
 808                       left right args)
 809                  (if func2
 810                      (setq func (cdr func2)))
 811                  (if (setq func2 (rassq func math-expr-function-mapping))
 812                      (setq func (car func2)))
 813                  (setq func (math-remove-dashes
 814                              (if (string-match
 815                                   "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'"
 816                                   (symbol-name func))
 817                                  (math-match-substring (symbol-name func) 1)
 818                                (symbol-name func))))
 819                  (if (memq calc-language calc-lang-allow-percentsigns)
 820                      (setq func (math-to-percentsigns func)))
 821                  (if (memq calc-language calc-lang-allow-underscores)
 822                      (setq func (math-to-underscores func)))
 823                  (if (setq spfn (get calc-language 'math-func-formatter))
 824                      (funcall spfn func a)
 825
 826                    (list 'horiz func calc-function-open
 827                        (math-compose-vector (cdr a) ", " 0)
 828                        calc-function-close))))))))))
 829
 830
 831 (defun math-prod-first-term (x)
 832   (while (eq (car-safe x) '*)
 833     (setq x (nth 1 x)))
 834   x)
 835
 836 (defun math-prod-last-term (x)
 837   (while (eq (car-safe x) '*)
 838     (setq x (nth 2 x)))
 839   x)
 840
 841 (defun math-compose-vector (a sep prec)
 842   (if a
 843       (cons 'horiz
 844             (cons (list 'set math-compose-level)
 845                   (let ((c (list (math-compose-expr (car a) prec))))
 846                     (while (setq a (cdr a))
 847                       (setq c (cons (if (eq (car-safe (car a))
 848                                             'calcFunc-bstring)
 849                                         (let ((math-compose-level
 850                                                (1- math-compose-level)))
 851                                           (math-compose-expr (car a) -123))
 852                                       (math-compose-expr (car a) prec))
 853                                     (cons (list 'break math-compose-level)
 854                                           (cons sep c)))))
 855                     (nreverse c))))
 856     ""))
 857
 858 (defun math-vector-no-parens (a)
 859   (or (cdr (cdr a))
 860       (not (eq (car-safe (nth 1 a)) '*))))
 861
 862 (defun math-compose-matrix (a col cols base)
 863   (let ((col 0)
 864         (res nil))
 865     (while (<= (setq col (1+ col)) cols)
 866       (setq res (cons (cons math-comp-just
 867                             (cons base
 868                                   (mapcar (function
 869                                            (lambda (r)
 870                                              (list 'horiz
 871                                                    (math-compose-expr
 872                                                     (nth col r)
 873                                                     math-comp-vector-prec)
 874                                                    (if (= col cols)
 875                                                        ""
 876                                                      (concat
 877                                                       math-comp-comma-spc " ")))))
 878                                           a)))
 879                       res)))
 880     (nreverse res)))
 881
 882 (defun math-compose-rows (a count first)
 883   (if (cdr a)
 884       (if (<= count 0)
 885           (if (< count 0)
 886               (math-compose-rows (cdr a) -1 nil)
 887             (cons (concat
 888                    (let ((mdots (get calc-language 'math-dots)))
 889                      (if mdots
 890                          (concat " " mdots)
 891                        "  ..."))
 892                    math-comp-comma)
 893                   (math-compose-rows (cdr a) -1 nil)))
 894         (cons (list 'horiz
 895                     (if first (concat math-comp-left-bracket " ") "  ")
 896                     (math-compose-expr (car a) math-comp-vector-prec)
 897                     math-comp-comma)
 898               (math-compose-rows (cdr a) (1- count) nil)))
 899     (list (list 'horiz
 900                 (if first (concat math-comp-left-bracket " ") "  ")
 901                 (math-compose-expr (car a) math-comp-vector-prec)
 902                 (concat " " math-comp-right-bracket)))))
 903
 904 (defun math-vector-is-string (a)
 905   (while (and (setq a (cdr a))
 906               (or (and (natnump (car a))
 907                        (<= (car a) 255))
 908                   (and (eq (car-safe (car a)) 'cplx)
 909                        (natnump (nth 1 (car a)))
 910                        (eq (nth 2 (car a)) 0)
 911                        (<= (nth 1 (car a)) 255)))))
 912   (null a))
 913
 914 (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" )
 915                                          ( ?\\ . "\\\\" )
 916                                          ( ?\a . "\\a" )
 917                                          ( ?\b . "\\b" )
 918                                          ( ?\e . "\\e" )
 919                                          ( ?\f . "\\f" )
 920                                          ( ?\n . "\\n" )
 921                                          ( ?\r . "\\r" )
 922                                          ( ?\t . "\\t" )
 923                                          ( ?\^? . "\\^?" )))
 924
 925 (defun math-vector-to-string (a &optional quoted)
 926   (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x)))
 927                           (cdr a))))
 928   (if (string-match "[\000-\037\177\\\"]" a)
 929       (let ((p 0)
 930             (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]"))
 931             (codes (if quoted math-vector-to-string-chars '((?\^? . "^?"))))
 932             (fmt (if quoted "\\^%c" "^%c"))
 933             new)
 934         (while (setq p (string-match pat a p))
 935           (if (setq new (assq (aref a p) codes))
 936               (setq a (concat (substring a 0 p)
 937                               (cdr new)
 938                               (substring a (1+ p)))
 939                     p (+ p (length (cdr new))))
 940             (setq a (concat (substring a 0 p)
 941                             (format fmt (+ (aref a p) 64))
 942                             (substring a (1+ p)))
 943                   p (+ p 2))))))
 944   (if quoted
 945       (concat "\"" a "\"")
 946     a))
 947
 948
 949 (defun math-to-underscores (x)
 950   (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
 951       (math-to-underscores
 952        (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
 953     x))
 954
 955 (defun math-to-percentsigns (x)
 956   (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x)
 957       (math-to-underscores
 958        (concat (math-match-substring x 1) "%" (math-match-substring x 2)))
 959     x))
 960
 961 (defun math-tex-expr-is-flat (a)
 962   (or (Math-integerp a)
 963       (memq (car a) '(float var))
 964       (and (memq (car a) '(+ - * neg))
 965            (progn
 966              (while (and (setq a (cdr a))
 967                          (math-tex-expr-is-flat (car a))))
 968              (null a)))
 969       (and (memq (car a) '(^ calcFunc-subscr))
 970            (math-tex-expr-is-flat (nth 1 a)))))
 971
 972 (put 'calcFunc-log 'math-compose-big 'math-compose-log)
 973 (defun math-compose-log (a prec)
 974   (and (= (length a) 3)
 975        (list 'horiz
 976              (list 'subscr "log"
 977                    (let ((calc-language 'flat))
 978                      (math-compose-expr (nth 2 a) 1000)))
 979              "("
 980              (math-compose-expr (nth 1 a) 1000)
 981              ")")))
 982
 983 (put 'calcFunc-log10 'math-compose-big 'math-compose-log10)
 984 (defun math-compose-log10 (a prec)
 985   (and (= (length a) 2)
 986        (list 'horiz
 987              (list 'subscr "log" "10")
 988              "("
 989              (math-compose-expr (nth 1 a) 1000)
 990              ")")))
 991
 992 (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv)
 993 (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv)
 994 (defun math-compose-deriv (a prec)
 995   (when (= (length a) 3)
 996     (math-compose-expr (list '/
 997                              (list 'calcFunc-choriz
 998                                    (list 'vec
 999                                          '(calcFunc-string (vec ?d))
1000                                          (nth 1 a)))
1001                              (list 'calcFunc-choriz
1002                                    (list 'vec
1003                                          '(calcFunc-string (vec ?d))
1004                                          (nth 2 a))))
1005                        prec)))
1006
1007 (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt)
1008 (defun math-compose-sqrt (a prec)
1009   (when (= (length a) 2)
1010     (let* ((c (math-compose-expr (nth 1 a) 0))
1011            (a (math-comp-ascent c))
1012            (d (math-comp-descent c))
1013            (h (+ a d))
1014            (w (math-comp-width c)))
1015       (list 'vleft
1016             a
1017             (concat (if (= h 1) " " "  ")
1018                     (make-string (+ w 2) ?\_))
1019             (list 'horiz
1020                   (if (= h 1)
1021                       "V"
1022                     (append (list 'vleft (1- a))
1023                             (make-list (1- h) " |")
1024                             '("\\|")))
1025                   " "
1026                   c)))))
1027
1028 (put 'calcFunc-choose 'math-compose-big 'math-compose-choose)
1029 (defun math-compose-choose (a prec)
1030   (let ((a1 (math-compose-expr (nth 1 a) 0))
1031         (a2 (math-compose-expr (nth 2 a) 0)))
1032     (list 'horiz
1033           "("
1034           (list 'vcent
1035                 (math-comp-height a1)
1036                 a1 " " a2)
1037           ")")))
1038
1039 (put 'calcFunc-integ 'math-compose-big 'math-compose-integ)
1040 (defun math-compose-integ (a prec)
1041   (and (memq (length a) '(3 5))
1042        (eq (car-safe (nth 2 a)) 'var)
1043        (let* ((parens (and (>= prec 196) (/= prec 1000)))
1044               (var (math-compose-expr (nth 2 a) 0))
1045               (over (and (eq (car-safe (nth 2 a)) 'var)
1046                          (or (and (eq (car-safe (nth 1 a)) '/)
1047                                   (math-numberp (nth 1 (nth 1 a))))
1048                              (and (eq (car-safe (nth 1 a)) '^)
1049                                   (math-looks-negp (nth 2 (nth 1 a)))))))
1050               (expr (math-compose-expr (if over
1051                                            (math-mul (nth 1 a)
1052                                                      (math-build-var-name
1053                                                       (format
1054                                                        "d%s"
1055                                                        (nth 1 (nth 2 a)))))
1056                                          (nth 1 a)) 185))
1057               (calc-language 'flat)
1058               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1059               (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0))))
1060          (list 'horiz
1061                (if parens "(" "")
1062                (append (list 'vcent (if high 3 2))
1063                        (and high (list (list 'horiz "  " high)))
1064                        '("  /"
1065                          " | "
1066                          " | "
1067                          " | "
1068                          "/  ")
1069                        (and low (list (list 'horiz low "  "))))
1070                expr
1071                (if over
1072                    ""
1073                  (list 'horiz " d" var))
1074                (if parens ")" "")))))
1075
1076 (put 'calcFunc-sum 'math-compose-big 'math-compose-sum)
1077 (defun math-compose-sum (a prec)
1078   (and (memq (length a) '(3 5 6))
1079        (let* ((expr (math-compose-expr (nth 1 a) 185))
1080               (calc-language 'flat)
1081               (var (math-compose-expr (nth 2 a) 0))
1082               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1083               (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1084          (list 'horiz
1085                (if (memq prec '(180 201)) "(" "")
1086                (append (list 'vcent (if high 3 2))
1087                        (and high (list high))
1088                        '("---- "
1089                          "\\    "
1090                          " >   "
1091                          "/    "
1092                          "---- ")
1093                        (if low
1094                            (list (list 'horiz var " = " low))
1095                          (list var)))
1096                (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1097                    " " "")
1098                expr
1099                (if (memq prec '(180 201)) ")" "")))))
1100
1101 (put 'calcFunc-prod 'math-compose-big 'math-compose-prod)
1102 (defun math-compose-prod (a prec)
1103   (and (memq (length a) '(3 5 6))
1104        (let* ((expr (math-compose-expr (nth 1 a) 198))
1105               (calc-language 'flat)
1106               (var (math-compose-expr (nth 2 a) 0))
1107               (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1108               (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1109          (list 'horiz
1110                (if (memq prec '(196 201)) "(" "")
1111                (append (list 'vcent (if high 3 2))
1112                        (and high (list high))
1113                        '("----- "
1114                          " | |  "
1115                          " | |  "
1116                          " | |  ")
1117                        (if low
1118                            (list (list 'horiz var " = " low))
1119                          (list var)))
1120                (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1121                    " " "")
1122                expr
1123                (if (memq prec '(196 201)) ")" "")))))
1124
1125 ;; The variables math-svo-c, math-svo-wid and math-svo-off are local
1126 ;; to math-stack-value-offset in calc.el, but are used by
1127 ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset..
1128 (defvar math-svo-c)
1129 (defvar math-svo-wid)
1130 (defvar math-svo-off)
1131
1132 (defun math-stack-value-offset-fancy ()
1133   (let ((cwid (+ (math-comp-width math-svo-c))))
1134     (cond ((eq calc-display-just 'right)
1135            (if calc-display-origin
1136                (setq math-svo-wid (max calc-display-origin 5))
1137              (if (integerp calc-line-breaking)
1138                  (setq math-svo-wid calc-line-breaking)))
1139            (setq math-svo-off (- math-svo-wid cwid
1140                         (max (- (length calc-right-label)
1141                                 (if (and (integerp calc-line-breaking)
1142                                          calc-display-origin)
1143                                     (max (- calc-line-breaking
1144                                             calc-display-origin)
1145                                          0)
1146                                   0))
1147                              0))))
1148           (t
1149            (if calc-display-origin
1150                (progn
1151                  (setq math-svo-off (- calc-display-origin (/ cwid 2)))
1152                  (if (integerp calc-line-breaking)
1153                      (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid
1154                                            (length calc-right-label)))))
1155                  (if (>= math-svo-off 0)
1156                      (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid)))))
1157              (if (integerp calc-line-breaking)
1158                  (setq math-svo-wid calc-line-breaking))
1159              (setq math-svo-off (/ (- math-svo-wid cwid) 2)))))
1160     (and (integerp calc-line-breaking)
1161          (or (< math-svo-off 0)
1162              (and calc-display-origin
1163                   (> calc-line-breaking calc-display-origin)))
1164          (setq math-svo-wid calc-line-breaking))))
1165
1166
1167 ;;; Convert a composition to string form, with embedded \n's if necessary.
1168
1169 (defun math-composition-to-string (c &optional width)
1170   (or width (setq width (calc-window-width)))
1171   (if calc-display-raw
1172       (math-comp-to-string-raw c 0)
1173     (if (math-comp-is-flat c)
1174         (math-comp-to-string-flat c width)
1175       (math-vert-comp-to-string
1176        (math-comp-simplify c width)))))
1177
1178 (defvar math-comp-buf-string (make-vector 10 ""))
1179 (defvar math-comp-buf-margin (make-vector 10 0))
1180 (defvar math-comp-buf-level (make-vector 10 0))
1181 (defun math-comp-is-flat (c)     ; check if c's height is 1.
1182   (cond ((not (consp c)) t)
1183         ((memq (car c) '(set break)) t)
1184         ((eq (car c) 'horiz)
1185          (while (and (setq c (cdr c))
1186                      (math-comp-is-flat (car c))))
1187          (null c))
1188         ((memq (car c) '(vleft vcent vright))
1189          (and (= (length c) 3)
1190               (= (nth 1 c) 0)
1191               (math-comp-is-flat (nth 2 c))))
1192         ((eq (car c) 'tag)
1193          (math-comp-is-flat (nth 2 c)))
1194         (t nil)))
1195
1196
1197 ;;; Convert a one-line composition to a string.  Break into multiple
1198 ;;; lines if necessary, choosing break points according to the structure
1199 ;;; of the formula.
1200
1201 ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word,
1202 ;; math-comp-level, math-comp-margin and math-comp-buf are local to
1203 ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term,
1204 ;; which is called by math-comp-to-string-flat.
1205 ;; math-comp-highlight and math-comp-buf are also local to
1206 ;; math-comp-simplify-term and math-comp-simplify respectively, but are used
1207 ;; by math-comp-add-string.
1208 (defvar math-comp-full-width)
1209 (defvar math-comp-highlight)
1210 (defvar math-comp-word)
1211 (defvar math-comp-level)
1212 (defvar math-comp-margin)
1213 (defvar math-comp-buf)
1214 ;; The variable math-comp-pos is local to math-comp-to-string-flat, but
1215 ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term,
1216 ;; which are called by math-comp-to-string-flat.
1217 (defvar math-comp-pos)
1218
1219 (defun math-comp-to-string-flat (c math-comp-full-width)
1220   (if math-comp-sel-hpos
1221       (let ((math-comp-pos 0))
1222         (math-comp-sel-flat-term c))
1223     (let ((math-comp-buf "")
1224           (math-comp-word "")
1225           (math-comp-pos 0)
1226           (math-comp-margin 0)
1227           (math-comp-highlight (and math-comp-selected calc-show-selections))
1228           (math-comp-level -1))
1229       (math-comp-to-string-flat-term '(set -1 0))
1230       (math-comp-to-string-flat-term c)
1231       (math-comp-to-string-flat-term '(break -1))
1232       (let ((str (aref math-comp-buf-string 0))
1233             (prefix ""))
1234         (and (> (length str) 0) (= (aref str 0) ? )
1235              (> (length math-comp-buf) 0)
1236              (let ((k (length math-comp-buf)))
1237                (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n)))
1238                (aset math-comp-buf k ? )
1239                (if (and (< (1+ k) (length math-comp-buf))
1240                         (= (aref math-comp-buf (1+ k)) ? ))
1241                    (progn
1242                      (aset math-comp-buf (1+ k) ?\n)
1243                      (setq prefix " "))
1244                  (setq prefix "\n"))))
1245         (concat math-comp-buf prefix str)))))
1246
1247 (defun math-comp-to-string-flat-term (c)
1248   (cond ((not (consp c))
1249          (if math-comp-highlight
1250              (setq c (math-comp-highlight-string c)))
1251          (setq math-comp-word (if (= (length math-comp-word) 0) c
1252                                 (concat math-comp-word c))
1253                math-comp-pos (+ math-comp-pos (length c))))
1254
1255         ((eq (car c) 'horiz)
1256          (while (setq c (cdr c))
1257            (math-comp-to-string-flat-term (car c))))
1258
1259         ((eq (car c) 'set)
1260          (if (nth 1 c)
1261              (progn
1262                (setq math-comp-level (1+ math-comp-level))
1263                (if (>= math-comp-level (length math-comp-buf-string))
1264                    (setq math-comp-buf-string (vconcat math-comp-buf-string
1265                                                        math-comp-buf-string)
1266                          math-comp-buf-margin (vconcat math-comp-buf-margin
1267                                                        math-comp-buf-margin)
1268                          math-comp-buf-level (vconcat math-comp-buf-level
1269                                                       math-comp-buf-level)))
1270                (aset math-comp-buf-string math-comp-level "")
1271                (aset math-comp-buf-margin math-comp-level (+ math-comp-pos
1272                                                         (or (nth 2 c) 0)))
1273                (aset math-comp-buf-level math-comp-level (nth 1 c)))))
1274
1275         ((eq (car c) 'break)
1276          (if (not calc-line-breaking)
1277              (setq math-comp-buf (concat math-comp-buf math-comp-word)
1278                    math-comp-word "")
1279            (let ((i 0) str)
1280              (if (and (> math-comp-pos math-comp-full-width)
1281                       (progn
1282                         (while (progn
1283                                  (setq str (aref math-comp-buf-string i))
1284                                  (and (= (length str) 0) (< i math-comp-level)))
1285                           (setq i (1+ i)))
1286                         (or (> (length str) 0) (> (length math-comp-buf) 0))))
1287                  (let ((prefix "") mrg wid)
1288                    (setq mrg (aref math-comp-buf-margin i))
1289                    (if (> mrg 12)  ; indenting too far, go back to far left
1290                        (setq mrg (if calc-line-numbering 5 1)))
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   (if calc-highlight-selections-with-faces
1342       (if (not calc-show-selections)
1343           (propertize s 'face 'calc-selected-face)
1344         (propertize s 'face 'calc-nonselected-face))
1345     (let ((i (length s)))
1346       (while (>= (setq i (1- i)) 0)
1347         (or (memq (aref s i) '(32 ?\n))
1348             (aset s i (if calc-show-selections ?\. ?\#)))))
1349     s))
1350
1351 ;; The variable math-comp-sel-tag is local to calc-find-selected-part
1352 ;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1353 ;; math-comp-add-string-sel, which are called (indirectly) by
1354 ;; calc-find-selected-part.
1355 (defvar math-comp-sel-tag)
1356
1357 (defun math-comp-sel-flat-term (c)
1358   (cond ((not (consp c))
1359          (setq math-comp-pos (+ math-comp-pos (length c))))
1360         ((memq (car c) '(set break)))
1361         ((eq (car c) 'horiz)
1362          (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000))
1363            (math-comp-sel-flat-term (car c))))
1364         ((eq (car c) 'tag)
1365          (if (<= math-comp-pos math-comp-sel-cpos)
1366              (progn
1367                (math-comp-sel-flat-term (nth 2 c))
1368                (if (> math-comp-pos math-comp-sel-cpos)
1369                    (setq math-comp-sel-tag c
1370                          math-comp-sel-cpos 1000000)))
1371            (math-comp-sel-flat-term (nth 2 c))))
1372         (t (math-comp-sel-flat-term (nth 2 c)))))
1373
1374
1375 ;;; Simplify a composition to a canonical form consisting of
1376 ;;;   (vleft n "string" "string" "string" ...)
1377 ;;; where 0 <= n < number-of-strings.
1378
1379 ;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1380 ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1381 ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1382 ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1383 ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1384 ;; math-comp-simplify.
1385 (defvar math-comp-base)
1386 (defvar math-comp-hgt)
1387 (defvar math-comp-tag)
1388 (defvar math-comp-hpos)
1389 (defvar math-comp-vpos)
1390
1391 (defun math-comp-simplify (c full-width)
1392   (let ((math-comp-buf (list ""))
1393         (math-comp-base 0)
1394         (math-comp-hgt 1)
1395         (math-comp-hpos 0)
1396         (math-comp-vpos 0)
1397         (math-comp-highlight (and math-comp-selected calc-show-selections))
1398         (math-comp-tag nil))
1399     (math-comp-simplify-term c)
1400     (cons 'vleft (cons math-comp-base math-comp-buf))))
1401
1402 (defun math-comp-add-string (s h v)
1403   (and (> (length s) 0)
1404        (let ((vv (+ v math-comp-base)))
1405          (if math-comp-sel-hpos
1406              (math-comp-add-string-sel h vv (length s) 1)
1407            (if (< vv 0)
1408                (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf)
1409                      math-comp-base (- v)
1410                      math-comp-hgt (- math-comp-hgt vv)
1411                      vv 0)
1412              (if (>= vv math-comp-hgt)
1413                  (setq math-comp-buf (nconc math-comp-buf
1414                                        (make-list (1+ (- vv math-comp-hgt)) ""))
1415                        math-comp-hgt (1+ vv))))
1416            (let ((str (nthcdr vv math-comp-buf)))
1417              (setcar str (concat (car str)
1418                                  (make-string (- h (length (car str))) 32)
1419                                  (if math-comp-highlight
1420                                      (math-comp-highlight-string s)
1421                                    s))))))))
1422
1423 (defun math-comp-add-string-sel (x y w h)
1424   (if (and (<= y math-comp-sel-vpos)
1425            (> (+ y h) math-comp-sel-vpos)
1426            (<= x math-comp-sel-hpos)
1427            (> (+ x w) math-comp-sel-hpos))
1428       (setq math-comp-sel-tag math-comp-tag
1429             math-comp-sel-vpos 10000)))
1430
1431 (defun math-comp-simplify-term (c)
1432   (cond ((stringp c)
1433          (math-comp-add-string c math-comp-hpos math-comp-vpos)
1434          (setq math-comp-hpos (+ math-comp-hpos (length c))))
1435         ((memq (car c) '(set break))
1436          nil)
1437         ((eq (car c) 'horiz)
1438          (while (setq c (cdr c))
1439            (math-comp-simplify-term (car c))))
1440         ((memq (car c) '(vleft vcent vright))
1441          (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c))
1442                               (1- (math-comp-ascent (nth 2 c)))))
1443                 (widths (mapcar 'math-comp-width (cdr (cdr c))))
1444                 (maxwid (apply 'max widths))
1445                 (bias (cond ((eq (car c) 'vleft) 0)
1446                             ((eq (car c) 'vcent) 1)
1447                             (t 2))))
1448            (setq c (cdr c))
1449            (while (setq c (cdr c))
1450              (if (eq (car-safe (car c)) 'rule)
1451                  (math-comp-add-string (make-string maxwid (nth 1 (car c)))
1452                                        math-comp-hpos math-comp-vpos)
1453                (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid
1454                                                            (car widths)))
1455                                                 2))))
1456                  (math-comp-simplify-term (car c))))
1457              (and (cdr c)
1458                   (setq math-comp-vpos (+ math-comp-vpos
1459                                      (+ (math-comp-descent (car c))
1460                                         (math-comp-ascent (nth 1 c))))
1461                         widths (cdr widths))))
1462            (setq math-comp-hpos (+ math-comp-hpos maxwid))))
1463         ((eq (car c) 'supscr)
1464          (let* ((asc (or 1 (math-comp-ascent (nth 1 c))))
1465                 (desc (math-comp-descent (nth 2 c)))
1466                 (oldh (prog1
1467                           math-comp-hpos
1468                         (math-comp-simplify-term (nth 1 c))))
1469                 (math-comp-vpos (- math-comp-vpos (+ asc desc))))
1470            (math-comp-simplify-term (nth 2 c))
1471            (if math-comp-sel-hpos
1472                (math-comp-add-string-sel oldh
1473                                          (- math-comp-vpos
1474                                             -1
1475                                             (math-comp-ascent (nth 2 c)))
1476                                          (- math-comp-hpos oldh)
1477                                          (math-comp-height c)))))
1478         ((eq (car c) 'subscr)
1479          (let* ((asc (math-comp-ascent (nth 2 c)))
1480                 (desc (math-comp-descent (nth 1 c)))
1481                 (oldv math-comp-vpos)
1482                 (oldh (prog1
1483                           math-comp-hpos
1484                         (math-comp-simplify-term (nth 1 c))))
1485                 (math-comp-vpos (+ math-comp-vpos (+ asc desc))))
1486            (math-comp-simplify-term (nth 2 c))
1487            (if math-comp-sel-hpos
1488                (math-comp-add-string-sel oldh oldv
1489                                          (- math-comp-hpos oldh)
1490                                          (math-comp-height c)))))
1491         ((eq (car c) 'tag)
1492          (cond ((eq (nth 1 c) math-comp-selected)
1493                 (let ((math-comp-highlight (not calc-show-selections)))
1494                   (math-comp-simplify-term (nth 2 c))))
1495                ((eq (nth 1 c) t)
1496                 (let ((math-comp-highlight nil))
1497                   (math-comp-simplify-term (nth 2 c))))
1498                (t (let ((math-comp-tag c))
1499                     (math-comp-simplify-term (nth 2 c))))))))
1500
1501
1502 ;;; Measuring a composition.
1503
1504 (defun math-comp-first-char (c)
1505   (cond ((stringp c)
1506          (and (> (length c) 0)
1507               (elt c 0)))
1508         ((memq (car c) '(horiz subscr supscr))
1509          (while (and (setq c (cdr c))
1510                      (math-comp-is-null (car c))))
1511          (and c (math-comp-first-char (car c))))
1512         ((eq (car c) 'tag)
1513          (math-comp-first-char (nth 2 c)))))
1514
1515 (defun math-comp-first-string (c)
1516   (cond ((stringp c)
1517          (and (> (length c) 0)
1518               c))
1519         ((eq (car c) 'horiz)
1520          (while (and (setq c (cdr c))
1521                      (math-comp-is-null (car c))))
1522          (and c (math-comp-first-string (car c))))
1523         ((eq (car c) 'tag)
1524          (math-comp-first-string (nth 2 c)))))
1525
1526 (defun math-comp-last-char (c)
1527   (cond ((stringp c)
1528          (and (> (length c) 0)
1529               (elt c (1- (length c)))))
1530         ((eq (car c) 'horiz)
1531          (let ((c (reverse (cdr c))))
1532            (while (and c (math-comp-is-null (car c)))
1533              (setq c (cdr c)))
1534            (and c (math-comp-last-char (car c)))))
1535         ((eq (car c) 'tag)
1536          (math-comp-last-char (nth 2 c)))))
1537
1538 (defun math-comp-is-null (c)
1539   (cond ((stringp c) (= (length c) 0))
1540         ((memq (car c) '(horiz subscr supscr))
1541          (while (and (setq c (cdr c))
1542                      (math-comp-is-null (car c))))
1543          (null c))
1544         ((eq (car c) 'tag)
1545          (math-comp-is-null (nth 2 c)))
1546         ((memq (car c) '(set break)) t)))
1547
1548 (defun math-comp-width (c)
1549   (cond ((not (consp c)) (length c))
1550         ((memq (car c) '(horiz subscr supscr))
1551          (let ((accum 0))
1552            (while (setq c (cdr c))
1553              (setq accum (+ accum (math-comp-width (car c)))))
1554            accum))
1555         ((memq (car c) '(vcent vleft vright))
1556          (setq c (cdr c))
1557          (let ((accum 0))
1558            (while (setq c (cdr c))
1559              (setq accum (max accum (math-comp-width (car c)))))
1560            accum))
1561         ((eq (car c) 'tag)
1562          (math-comp-width (nth 2 c)))
1563         (t 0)))
1564
1565 (defun math-comp-height (c)
1566   (if (stringp c)
1567       1
1568     (+ (math-comp-ascent c) (math-comp-descent c))))
1569
1570 (defun math-comp-ascent (c)
1571   (cond ((not (consp c)) 1)
1572         ((eq (car c) 'horiz)
1573          (let ((accum 0))
1574            (while (setq c (cdr c))
1575              (setq accum (max accum (math-comp-ascent (car c)))))
1576            accum))
1577         ((memq (car c) '(vcent vleft vright))
1578          (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1))
1579         ((eq (car c) 'supscr)
1580          (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c)))))
1581         ((eq (car c) 'subscr)
1582          (math-comp-ascent (nth 1 c)))
1583         ((eq (car c) 'tag)
1584          (math-comp-ascent (nth 2 c)))
1585         (t 1)))
1586
1587 (defun math-comp-descent (c)
1588   (cond ((not (consp c)) 0)
1589         ((eq (car c) 'horiz)
1590          (let ((accum 0))
1591            (while (setq c (cdr c))
1592              (setq accum (max accum (math-comp-descent (car c)))))
1593            accum))
1594         ((memq (car c) '(vcent vleft vright))
1595          (let ((accum (- (nth 1 c))))
1596            (setq c (cdr c))
1597            (while (setq c (cdr c))
1598              (setq accum (+ accum (math-comp-height (car c)))))
1599            (max (1- accum) 0)))
1600         ((eq (car c) 'supscr)
1601          (math-comp-descent (nth 1 c)))
1602         ((eq (car c) 'subscr)
1603          (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c))))
1604         ((eq (car c) 'tag)
1605          (math-comp-descent (nth 2 c)))
1606         (t 0)))
1607
1608 (defun calcFunc-cwidth (a &optional prec)
1609   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1610   (math-comp-width (math-compose-expr a (or prec 0))))
1611
1612 (defun calcFunc-cheight (a &optional prec)
1613   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1614   (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1615            (memq (length a) '(2 3))
1616            (eq (nth 1 a) 0))
1617       0
1618     (math-comp-height (math-compose-expr a (or prec 0)))))
1619
1620 (defun calcFunc-cascent (a &optional prec)
1621   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1622   (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1623            (memq (length a) '(2 3))
1624            (eq (nth 1 a) 0))
1625       0
1626     (math-comp-ascent (math-compose-expr a (or prec 0)))))
1627
1628 (defun calcFunc-cdescent (a &optional prec)
1629   (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1630   (math-comp-descent (math-compose-expr a (or prec 0))))
1631
1632
1633 ;;; Convert a simplified composition into string form.
1634
1635 (defun math-vert-comp-to-string (c)
1636   (if (stringp c)
1637       c
1638     (math-vert-comp-to-string-step (cdr (cdr c)))))
1639
1640 (defun math-vert-comp-to-string-step (c)
1641   (if (cdr c)
1642       (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c)))
1643     (car c)))
1644
1645
1646 ;;; Convert a composition to a string in "raw" form (for debugging).
1647
1648 (defun math-comp-to-string-raw (c indent)
1649   (cond ((or (not (consp c)) (eq (car c) 'set))
1650          (prin1-to-string c))
1651         ((null (cdr c))
1652          (concat "(" (symbol-name (car c)) ")"))
1653         (t
1654          (let ((next-indent (+ indent 2 (length (symbol-name (car c))))))
1655            (concat "("
1656                    (symbol-name (car c))
1657                    " "
1658                    (math-comp-to-string-raw (nth 1 c) next-indent)
1659                    (math-comp-to-string-raw-step (cdr (cdr c))
1660                                                  next-indent)
1661                    ")")))))
1662
1663 (defun math-comp-to-string-raw-step (cl indent)
1664   (if cl
1665       (concat "\n"
1666               (make-string indent 32)
1667               (math-comp-to-string-raw (car cl) indent)
1668               (math-comp-to-string-raw-step (cdr cl) indent))
1669     ""))
1670
1671 (provide 'calccomp)
1672
1673 ;; Local variables:
1674 ;; coding: utf-8
1675 ;; End:
1676
1677 ;;; calccomp.el ends here