lisp/calc/calc-forms.el

   1 ;;; calc-forms.el --- data format conversion functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
   4
   5 ;; Author: David Gillespie <daveg@synaptics.com>
   6 ;; Maintainers: D. Goel <deego@gnufans.org>
   7 ;;              Colin Walters <walters@debian.org>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is distributed in the hope that it will be useful,
  12 ;; but WITHOUT ANY WARRANTY.  No author or distributor
  13 ;; accepts responsibility to anyone for the consequences of using it
  14 ;; or for whether it serves any particular purpose or works at all,
  15 ;; unless he says so in writing.  Refer to the GNU Emacs General Public
  16 ;; License for full details.
  17
  18 ;; Everyone is granted permission to copy, modify and redistribute
  19 ;; GNU Emacs, but only under the conditions described in the
  20 ;; GNU Emacs General Public License.   A copy of this license is
  21 ;; supposed to have been given to you along with GNU Emacs so you
  22 ;; can know your rights and responsibilities.  It should be in a
  23 ;; file named COPYING.  Among other things, the copyright notice
  24 ;; and this notice must be preserved on all copies.
  25
  26 ;;; Commentary:
  27
  28 ;;; Code:
  29
  30 ;; This file is autoloaded from calc-ext.el.
  31 (require 'calc-ext)
  32
  33 (require 'calc-macs)
  34
  35 (defun calc-Need-calc-forms () nil)
  36
  37
  38 (defun calc-time ()
  39   (interactive)
  40   (calc-wrapper
  41    (let ((time (current-time-string)))
  42      (calc-enter-result 0 "time"
  43                         (list 'mod
  44                               (list 'hms
  45                                     (string-to-int (substring time 11 13))
  46                                     (string-to-int (substring time 14 16))
  47                                     (string-to-int (substring time 17 19)))
  48                               (list 'hms 24 0 0))))))
  49
  50 (defun calc-to-hms (arg)
  51   (interactive "P")
  52   (calc-wrapper
  53    (if (calc-is-inverse)
  54        (if (eq calc-angle-mode 'rad)
  55            (calc-unary-op ">rad" 'calcFunc-rad arg)
  56          (calc-unary-op ">deg" 'calcFunc-deg arg))
  57      (calc-unary-op ">hms" 'calcFunc-hms arg))))
  58
  59 (defun calc-from-hms (arg)
  60   (interactive "P")
  61   (calc-invert-func)
  62   (calc-to-hms arg))
  63
  64
  65 (defun calc-hms-notation (fmt)
  66   (interactive "sHours-minutes-seconds format (hms, @ ' \", etc.): ")
  67   (calc-wrapper
  68    (if (string-match "\\`\\([^,; ]+\\)\\([,; ]*\\)\\([^,; ]\\)\\([,; ]*\\)\\([^,; ]\\)\\'" fmt)
  69        (progn
  70          (calc-change-mode 'calc-hms-format
  71                            (concat "%s" (math-match-substring fmt 1)
  72                                    (math-match-substring fmt 2)
  73                                    "%s" (math-match-substring fmt 3)
  74                                    (math-match-substring fmt 4)
  75                                    "%s" (math-match-substring fmt 5))
  76                            t)
  77          (setq-default calc-hms-format calc-hms-format))  ; for minibuffer
  78      (error "Bad hours-minutes-seconds format"))))
  79
  80 (defun calc-date-notation (fmt arg)
  81   (interactive "sDate format (e.g., M/D/YY h:mm:ss): \nP")
  82   (calc-wrapper
  83    (if (equal fmt "")
  84        (setq fmt "1"))
  85    (if (string-match "\\` *[0-9] *\\'" fmt)
  86        (setq fmt (nth (string-to-int fmt) calc-standard-date-formats)))
  87    (or (string-match "[a-zA-Z]" fmt)
  88        (error "Bad date format specifier"))
  89    (and arg
  90         (>= (setq arg (prefix-numeric-value arg)) 0)
  91         (<= arg 9)
  92         (setq calc-standard-date-formats
  93               (copy-sequence calc-standard-date-formats))
  94         (setcar (nthcdr arg calc-standard-date-formats) fmt))
  95    (let ((case-fold-search nil))
  96      (and (not (string-match "<.*>" fmt))
  97           (string-match "\\`[^hHspP]*\\([^ac-gi-lnoqrt-zAC-GI-OQRT-Z]*[bBhHmpPsS]+[^ac-gi-lnoqrt-zAC-GI-OQRT-Z]*\\)[^hHspP]*\\'" fmt)
  98           (string-match (concat "[^ac-gi-lnoqrt-zAC-GI-OQRT-Z]*"
  99                                 (regexp-quote (math-match-substring fmt 1))
 100                                 "[^ac-gi-lnoqrt-zAC-GI-OQRT-Z]*") fmt)
 101           (setq fmt (concat (substring fmt 0 (match-beginning 0))
 102                             "<"
 103                             (substring fmt (match-beginning 0) (match-end 0))
 104                             ">"
 105                             (substring fmt (match-end 0))))))
 106    (let ((lfmt nil)
 107          (fullfmt nil)
 108          (time nil)
 109          pos pos2 sym temp)
 110      (let ((case-fold-search nil))
 111        (and (setq temp (string-match ":[BS]S" fmt))
 112             (aset fmt temp ?C)))
 113      (while (setq pos (string-match "[<>a-zA-Z]" fmt))
 114        (if (> pos 0)
 115            (setq lfmt (cons (substring fmt 0 pos) lfmt)))
 116        (setq pos2 (1+ pos))
 117        (cond ((= (aref fmt pos) ?\<)
 118               (and time (error "Nested <'s not allowed"))
 119               (and lfmt (setq fullfmt (nconc lfmt fullfmt)
 120                               lfmt nil))
 121               (setq time t))
 122              ((= (aref fmt pos) ?\>)
 123               (or time (error "Misplaced > in format"))
 124               (and lfmt (setq fullfmt (cons (nreverse lfmt) fullfmt)
 125                               lfmt nil))
 126               (setq time nil))
 127              (t
 128               (if (string-match "\\`[^a-zA-Z]*[bB][a-zA-Z]" fmt)
 129                   (setq pos2 (1+ pos2)))
 130               (while (and (< pos2 (length fmt))
 131                           (= (upcase (aref fmt pos2))
 132                              (upcase (aref fmt (1- pos2)))))
 133                 (setq pos2 (1+ pos2)))
 134               (setq sym (intern (substring fmt pos pos2)))
 135               (or (memq sym '(Y YY BY YYY YYYY
 136                                 aa AA aaa AAA aaaa AAAA
 137                                 bb BB bbb BBB bbbb BBBB
 138                                 M MM BM mmm Mmm Mmmm MMM MMMM
 139                                 D DD BD d ddd bdd
 140                                 W www Www Wwww WWW WWWW
 141                                 h hh bh H HH BH
 142                                 p P pp PP pppp PPPP
 143                                 m mm bm s ss bss SS BS C
 144                                 N n J j U b))
 145                   (and (eq sym 'X) (not lfmt) (not fullfmt))
 146                   (error "Bad format code: %s" sym))
 147               (and (memq sym '(bb BB bbb BBB bbbb BBBB))
 148                    (setq lfmt (cons 'b lfmt)))
 149               (setq lfmt (cons sym lfmt))))
 150        (setq fmt (substring fmt pos2)))
 151      (or (equal fmt "")
 152          (setq lfmt (cons fmt lfmt)))
 153      (and lfmt (if time
 154                    (setq fullfmt (cons (nreverse lfmt) fullfmt))
 155                  (setq fullfmt (nconc lfmt fullfmt))))
 156      (calc-change-mode 'calc-date-format (nreverse fullfmt) t))))
 157
 158
 159 (defun calc-hms-mode ()
 160   (interactive)
 161   (calc-wrapper
 162    (calc-change-mode 'calc-angle-mode 'hms)
 163    (message "Angles measured in degrees-minutes-seconds")))
 164
 165
 166 (defun calc-now (arg)
 167   (interactive "P")
 168   (calc-date-zero-args "now" 'calcFunc-now arg))
 169
 170 (defun calc-date-part (arg)
 171   (interactive "NPart code (1-9 = Y,M,D,H,M,S,Wd,Yd,Hms): ")
 172   (if (or (< arg 1) (> arg 9))
 173       (error "Part code out of range"))
 174   (calc-wrapper
 175    (calc-enter-result 1
 176                       (nth arg '(nil "year" "mnth" "day" "hour" "minu"
 177                                       "sec" "wday" "yday" "hmst"))
 178                       (list (nth arg '(nil calcFunc-year calcFunc-month
 179                                            calcFunc-day calcFunc-hour
 180                                            calcFunc-minute calcFunc-second
 181                                            calcFunc-weekday calcFunc-yearday
 182                                            calcFunc-time))
 183                             (calc-top-n 1)))))
 184
 185 (defun calc-date (arg)
 186   (interactive "p")
 187   (if (or (< arg 1) (> arg 6))
 188       (error "Between one and six arguments are allowed"))
 189   (calc-wrapper
 190    (calc-enter-result arg "date" (cons 'calcFunc-date (calc-top-list-n arg)))))
 191
 192 (defun calc-julian (arg)
 193   (interactive "P")
 194   (calc-date-one-arg "juln" 'calcFunc-julian arg))
 195
 196 (defun calc-unix-time (arg)
 197   (interactive "P")
 198   (calc-date-one-arg "unix" 'calcFunc-unixtime arg))
 199
 200 (defun calc-time-zone (arg)
 201   (interactive "P")
 202   (calc-date-zero-args "zone" 'calcFunc-tzone arg))
 203
 204 (defun calc-convert-time-zones (old &optional new)
 205   (interactive "sFrom time zone: ")
 206   (calc-wrapper
 207    (if (equal old "$")
 208        (calc-enter-result 3 "tzcv" (cons 'calcFunc-tzconv (calc-top-list-n 3)))
 209      (if (equal old "") (setq old "local"))
 210      (or new
 211          (setq new (read-string (concat "From time zone: " old
 212                                         ", to zone: "))))
 213      (if (stringp old) (setq old (math-read-expr old)))
 214      (if (eq (car-safe old) 'error)
 215          (error "Error in expression: " (nth 1 old)))
 216      (if (equal new "") (setq new "local"))
 217      (if (stringp new) (setq new (math-read-expr new)))
 218      (if (eq (car-safe new) 'error)
 219          (error "Error in expression: " (nth 1 new)))
 220      (calc-enter-result 1 "tzcv" (list 'calcFunc-tzconv
 221                                        (calc-top-n 1) old new)))))
 222
 223 (defun calc-new-week (arg)
 224   (interactive "P")
 225   (calc-date-one-arg "nwwk" 'calcFunc-newweek arg))
 226
 227 (defun calc-new-month (arg)
 228   (interactive "P")
 229   (calc-date-one-arg "nwmn" 'calcFunc-newmonth arg))
 230
 231 (defun calc-new-year (arg)
 232   (interactive "P")
 233   (calc-date-one-arg "nwyr" 'calcFunc-newyear arg))
 234
 235 (defun calc-inc-month (arg)
 236   (interactive "p")
 237   (calc-date-one-arg "incm" 'calcFunc-incmonth arg))
 238
 239 (defun calc-business-days-plus (arg)
 240   (interactive "P")
 241   (calc-wrapper
 242    (calc-binary-op "bus+" 'calcFunc-badd arg)))
 243
 244 (defun calc-business-days-minus (arg)
 245   (interactive "P")
 246   (calc-wrapper
 247    (calc-binary-op "bus-" 'calcFunc-bsub arg)))
 248
 249 (defun calc-date-zero-args (prefix func arg)
 250   (calc-wrapper
 251    (if (consp arg)
 252        (calc-enter-result 1 prefix (list func (calc-top-n 1)))
 253      (calc-enter-result 0 prefix (if arg
 254                                      (list func (prefix-numeric-value arg))
 255                                    (list func))))))
 256
 257 (defun calc-date-one-arg (prefix func arg)
 258   (calc-wrapper
 259    (if (consp arg)
 260        (calc-enter-result 2 prefix (cons func (calc-top-list-n 2)))
 261      (calc-enter-result 1 prefix (if arg
 262                                      (list func (calc-top-n 1)
 263                                            (prefix-numeric-value arg))
 264                                    (list func (calc-top-n 1)))))))
 265
 266
 267 ;;;; Hours-minutes-seconds forms.
 268
 269 (defun math-normalize-hms (a)
 270   (let ((h (math-normalize (nth 1 a)))
 271         (m (math-normalize (nth 2 a)))
 272         (s (let ((calc-internal-prec (max (- calc-internal-prec 4) 3)))
 273              (math-normalize (nth 3 a)))))
 274     (if (math-negp h)
 275         (progn
 276           (if (math-posp s)
 277               (setq s (math-add s -60)
 278                     m (math-add m 1)))
 279           (if (math-posp m)
 280               (setq m (math-add m -60)
 281                     h (math-add h 1)))
 282           (if (not (Math-lessp -60 s))
 283               (setq s (math-add s 60)
 284                     m (math-add m -1)))
 285           (if (not (Math-lessp -60 m))
 286               (setq m (math-add m 60)
 287                     h (math-add h -1))))
 288       (if (math-negp s)
 289           (setq s (math-add s 60)
 290                 m (math-add m -1)))
 291       (if (math-negp m)
 292           (setq m (math-add m 60)
 293                 h (math-add h -1)))
 294       (if (not (Math-lessp s 60))
 295           (setq s (math-add s -60)
 296                 m (math-add m 1)))
 297       (if (not (Math-lessp m 60))
 298           (setq m (math-add m -60)
 299                 h (math-add h 1))))
 300     (if (and (eq (car-safe s) 'float)
 301              (<= (+ (math-numdigs (nth 1 s)) (nth 2 s))
 302                  (- 2 calc-internal-prec)))
 303         (setq s 0))
 304     (list 'hms h m s)))
 305
 306 ;;; Convert A from ANG or current angular mode to HMS format.
 307 (defun math-to-hms (a &optional ang)   ; [X R] [Public]
 308   (cond ((eq (car-safe a) 'hms) a)
 309         ((eq (car-safe a) 'sdev)
 310          (math-make-sdev (math-to-hms (nth 1 a))
 311                          (math-to-hms (nth 2 a))))
 312         ((not (Math-numberp a))
 313          (list 'calcFunc-hms a))
 314         ((math-negp a)
 315          (math-neg (math-to-hms (math-neg a) ang)))
 316         ((eq (or ang calc-angle-mode) 'rad)
 317          (math-to-hms (math-div a (math-pi-over-180)) 'deg))
 318         ((memq (car-safe a) '(cplx polar)) a)
 319         (t
 320          ;(setq a (let ((calc-internal-prec (max (1- calc-internal-prec) 3)))
 321          ;          (math-normalize a)))
 322          (math-normalize
 323           (let* ((b (math-mul a 3600))
 324                  (hm (math-trunc (math-div b 60)))
 325                  (hmd (math-idivmod hm 60)))
 326             (list 'hms
 327                   (car hmd)
 328                   (cdr hmd)
 329                   (math-sub b (math-mul hm 60))))))))
 330 (defun calcFunc-hms (h &optional m s)
 331   (or (Math-realp h) (math-reject-arg h 'realp))
 332   (or m (setq m 0))
 333   (or (Math-realp m) (math-reject-arg m 'realp))
 334   (or s (setq s 0))
 335   (or (Math-realp s) (math-reject-arg s 'realp))
 336   (if (and (not (Math-lessp m 0)) (Math-lessp m 60)
 337            (not (Math-lessp s 0)) (Math-lessp s 60))
 338       (math-add (math-to-hms h)
 339                 (list 'hms 0 m s))
 340     (math-to-hms (math-add h
 341                            (math-add (math-div (or m 0) 60)
 342                                      (math-div (or s 0) 3600)))
 343                  'deg)))
 344
 345 ;;; Convert A from HMS format to ANG or current angular mode.
 346 (defun math-from-hms (a &optional ang)   ; [R X] [Public]
 347   (cond ((not (eq (car-safe a) 'hms))
 348          (if (Math-numberp a)
 349              a
 350            (if (eq (car-safe a) 'sdev)
 351                (math-make-sdev (math-from-hms (nth 1 a) ang)
 352                                (math-from-hms (nth 2 a) ang))
 353              (if (eq (or ang calc-angle-mode) 'rad)
 354                  (list 'calcFunc-rad a)
 355                (list 'calcFunc-deg a)))))
 356         ((math-negp a)
 357          (math-neg (math-from-hms (math-neg a) ang)))
 358         ((eq (or ang calc-angle-mode) 'rad)
 359          (math-mul (math-from-hms a 'deg) (math-pi-over-180)))
 360         (t
 361          (math-add (math-div (math-add (math-div (nth 3 a)
 362                                                  '(float 6 1))
 363                                        (nth 2 a))
 364                              60)
 365                    (nth 1 a)))))
 366
 367 ;;;; Date forms.
 368
 369
 370 ;;; Some of these functions are adapted from Edward Reingold's "calendar.el".
 371 ;;; These versions are rewritten to use arbitrary-size integers.
 372 ;;; The Julian calendar is used up to 9/2/1752, after which the Gregorian
 373 ;;; calendar is used; the first day after 9/2/1752 is 9/14/1752.
 374
 375 ;;; A numerical date is the number of days since midnight on
 376 ;;; the morning of January 1, 1 A.D.  If the date is a non-integer,
 377 ;;; it represents a specific date and time.
 378 ;;; A "dt" is a list of the form, (year month day), corresponding to
 379 ;;; an integer code, or (year month day hour minute second), corresponding
 380 ;;; to a non-integer code.
 381
 382 (defun math-date-to-dt (value)
 383   (if (eq (car-safe value) 'date)
 384       (setq value (nth 1 value)))
 385   (or (math-realp value)
 386       (math-reject-arg value 'datep))
 387   (let* ((parts (math-date-parts value))
 388          (date (car parts))
 389          (time (nth 1 parts))
 390          (month 1)
 391          day
 392          (year (math-quotient (math-add date (if (Math-lessp date 711859)
 393                                                  365  ; for speed, we take
 394                                                -108)) ; >1950 as a special case
 395                               (if (math-negp value) 366 365)))
 396                                         ; this result may be an overestimate
 397          temp)
 398     (while (Math-lessp date (setq temp (math-absolute-from-date year 1 1)))
 399       (setq year (math-add year -1)))
 400     (if (eq year 0) (setq year -1))
 401     (setq date (1+ (math-sub date temp)))
 402     (and (eq year 1752) (>= date 247)
 403          (setq date (+ date 11)))
 404     (setq temp (if (math-leap-year-p year)
 405                    [1 32 61 92 122 153 183 214 245 275 306 336 999]
 406                  [1 32 60 91 121 152 182 213 244 274 305 335 999]))
 407     (while (>= date (aref temp month))
 408       (setq month (1+ month)))
 409     (setq day (1+ (- date (aref temp (1- month)))))
 410     (if (math-integerp value)
 411         (list year month day)
 412       (list year month day
 413             (/ time 3600)
 414             (% (/ time 60) 60)
 415             (math-add (% time 60) (nth 2 parts))))))
 416
 417 (defun math-dt-to-date (dt)
 418   (or (integerp (nth 1 dt))
 419       (math-reject-arg (nth 1 dt) 'fixnump))
 420   (if (or (< (nth 1 dt) 1) (> (nth 1 dt) 12))
 421       (math-reject-arg (nth 1 dt) "Month value is out of range"))
 422   (or (integerp (nth 2 dt))
 423       (math-reject-arg (nth 2 dt) 'fixnump))
 424   (if (or (< (nth 2 dt) 1) (> (nth 2 dt) 31))
 425       (math-reject-arg (nth 2 dt) "Day value is out of range"))
 426   (let ((date (math-absolute-from-date (car dt) (nth 1 dt) (nth 2 dt))))
 427     (if (nth 3 dt)
 428         (math-add (math-float date)
 429                   (math-div (math-add (+ (* (nth 3 dt) 3600)
 430                                          (* (nth 4 dt) 60))
 431                                       (nth 5 dt))
 432                             '(float 864 2)))
 433       date)))
 434
 435 (defun math-date-parts (value &optional offset)
 436   (let* ((date (math-floor value))
 437          (time (math-round (math-mul (math-sub value (or offset date)) 86400)
 438                            (and (> calc-internal-prec 12)
 439                                 (- calc-internal-prec 12))))
 440          (ftime (math-floor time)))
 441     (list date
 442           ftime
 443           (math-sub time ftime))))
 444
 445
 446 (defun math-this-year ()
 447   (string-to-int (substring (current-time-string) -4)))
 448
 449 (defun math-leap-year-p (year)
 450   (if (Math-lessp year 1752)
 451       (if (math-negp year)
 452           (= (math-imod (math-neg year) 4) 1)
 453         (= (math-imod year 4) 0))
 454     (setq year (math-imod year 400))
 455     (or (and (= (% year 4) 0) (/= (% year 100) 0))
 456         (= year 0))))
 457
 458 (defun math-days-in-month (year month)
 459   (if (and (= month 2) (math-leap-year-p year))
 460       29
 461     (aref [31 28 31 30 31 30 31 31 30 31 30 31] (1- month))))
 462
 463 (defun math-day-number (year month day)
 464   (let ((day-of-year (+ day (* 31 (1- month)))))
 465     (if (> month 2)
 466         (progn
 467           (setq day-of-year (- day-of-year (/ (+ 23 (* 4 month)) 10)))
 468           (if (math-leap-year-p year)
 469               (setq day-of-year (1+ day-of-year)))))
 470     (and (eq year 1752)
 471          (or (> month 9)
 472              (and (= month 9) (>= day 14)))
 473          (setq day-of-year (- day-of-year 11)))
 474     day-of-year))
 475
 476 (defun math-absolute-from-date (year month day)
 477   (if (eq year 0) (setq year -1))
 478   (let ((yearm1 (math-sub year 1)))
 479     (math-sub (math-add (math-day-number year month day)
 480                         (math-add (math-mul 365 yearm1)
 481                                   (if (math-posp year)
 482                                       (math-quotient yearm1 4)
 483                                     (math-sub 365
 484                                               (math-quotient (math-sub 3 year)
 485                                                              4)))))
 486               (if (or (Math-lessp year 1753)
 487                       (and (eq year 1752) (<= month 9)))
 488                   1
 489                 (let ((correction (math-mul (math-quotient yearm1 100) 3)))
 490                   (let ((res (math-idivmod correction 4)))
 491                     (math-add (if (= (cdr res) 0)
 492                                   -1
 493                                 0)
 494                               (car res))))))))
 495
 496
 497 ;;; It is safe to redefine these in your .emacs file to use a different
 498 ;;; language.
 499
 500 (defvar math-long-weekday-names '( "Sunday" "Monday" "Tuesday" "Wednesday"
 501                                    "Thursday" "Friday" "Saturday" ))
 502 (defvar math-short-weekday-names '( "Sun" "Mon" "Tue" "Wed"
 503                                     "Thu" "Fri" "Sat" ))
 504
 505 (defvar math-long-month-names '( "January" "February" "March" "April"
 506                                  "May" "June" "July" "August"
 507                                  "September" "October" "November" "December" ))
 508 (defvar math-short-month-names '( "Jan" "Feb" "Mar" "Apr" "May" "Jun"
 509                                   "Jul" "Aug" "Sep" "Oct" "Nov" "Dec" ))
 510
 511
 512 (defvar math-format-date-cache nil)
 513 (defun math-format-date (date)
 514   (if (eq (car-safe date) 'date)
 515       (setq date (nth 1 date)))
 516   (let ((entry (list date calc-internal-prec calc-date-format)))
 517     (or (cdr (assoc entry math-format-date-cache))
 518         (let* ((dt nil)
 519                (calc-group-digits nil)
 520                (calc-leading-zeros nil)
 521                (calc-number-radix 10)
 522                year month day weekday hour minute second
 523                (bc-flag nil)
 524                (fmt (apply 'concat (mapcar 'math-format-date-part
 525                                            calc-date-format))))
 526           (setq math-format-date-cache (cons (cons entry fmt)
 527                                              math-format-date-cache))
 528           (and (setq dt (nthcdr 10 math-format-date-cache))
 529                (setcdr dt nil))
 530           fmt))))
 531
 532 (defun math-format-date-part (x)
 533   (cond ((stringp x)
 534          x)
 535         ((listp x)
 536          (if (math-integerp date)
 537              ""
 538            (apply 'concat (mapcar 'math-format-date-part x))))
 539         ((eq x 'X)
 540          "")
 541         ((eq x 'N)
 542          (math-format-number date))
 543         ((eq x 'n)
 544          (math-format-number (math-floor date)))
 545         ((eq x 'J)
 546          (math-format-number (math-add date '(float (bigpos 235 214 17) -1))))
 547         ((eq x 'j)
 548          (math-format-number (math-add (math-floor date) '(bigpos 424 721 1))))
 549         ((eq x 'U)
 550          (math-format-number (nth 1 (math-date-parts date 719164))))
 551         ((progn
 552            (or dt
 553                (progn
 554                  (setq dt (math-date-to-dt date)
 555                        year (car dt)
 556                        month (nth 1 dt)
 557                        day (nth 2 dt)
 558                        weekday (math-mod (math-add (math-floor date) 6) 7)
 559                        hour (nth 3 dt)
 560                        minute (nth 4 dt)
 561                        second (nth 5 dt))
 562                  (and (memq 'b calc-date-format)
 563                       (math-negp year)
 564                       (setq year (math-neg year)
 565                             bc-flag t))))
 566            (memq x '(Y YY BY)))
 567          (if (and (integerp year) (> year 1940) (< year 2040))
 568              (format (cond ((eq x 'YY) "%02d")
 569                            ((eq x 'BYY) "%2d")
 570                            (t "%d"))
 571                      (% year 100))
 572            (if (and (natnump year) (< year 100))
 573                (format "+%d" year)
 574              (math-format-number year))))
 575         ((eq x 'YYY)
 576          (math-format-number year))
 577         ((eq x 'YYYY)
 578          (if (and (natnump year) (< year 100))
 579              (format "+%d" year)
 580            (math-format-number year)))
 581         ((eq x 'b) "")
 582         ((eq x 'aa)
 583          (and (not bc-flag) "ad"))
 584         ((eq x 'AA)
 585          (and (not bc-flag) "AD"))
 586         ((eq x 'aaa)
 587          (and (not bc-flag) "ad "))
 588         ((eq x 'AAA)
 589          (and (not bc-flag) "AD "))
 590         ((eq x 'aaaa)
 591          (and (not bc-flag) "a.d."))
 592         ((eq x 'AAAA)
 593          (and (not bc-flag) "A.D."))
 594         ((eq x 'bb)
 595          (and bc-flag "bc"))
 596         ((eq x 'BB)
 597          (and bc-flag "BC"))
 598         ((eq x 'bbb)
 599          (and bc-flag " bc"))
 600         ((eq x 'BBB)
 601          (and bc-flag " BC"))
 602         ((eq x 'bbbb)
 603          (and bc-flag "b.c."))
 604         ((eq x 'BBBB)
 605          (and bc-flag "B.C."))
 606         ((eq x 'M)
 607          (format "%d" month))
 608         ((eq x 'MM)
 609          (format "%02d" month))
 610         ((eq x 'BM)
 611          (format "%2d" month))
 612         ((eq x 'mmm)
 613          (downcase (nth (1- month) math-short-month-names)))
 614         ((eq x 'Mmm)
 615          (nth (1- month) math-short-month-names))
 616         ((eq x 'MMM)
 617          (upcase (nth (1- month) math-short-month-names)))
 618         ((eq x 'Mmmm)
 619          (nth (1- month) math-long-month-names))
 620         ((eq x 'MMMM)
 621          (upcase (nth (1- month) math-long-month-names)))
 622         ((eq x 'D)
 623          (format "%d" day))
 624         ((eq x 'DD)
 625          (format "%02d" day))
 626         ((eq x 'BD)
 627          (format "%2d" day))
 628         ((eq x 'W)
 629          (format "%d" weekday))
 630         ((eq x 'www)
 631          (downcase (nth weekday math-short-weekday-names)))
 632         ((eq x 'Www)
 633          (nth weekday math-short-weekday-names))
 634         ((eq x 'WWW)
 635          (upcase (nth weekday math-short-weekday-names)))
 636         ((eq x 'Wwww)
 637          (nth weekday math-long-weekday-names))
 638         ((eq x 'WWWW)
 639          (upcase (nth weekday math-long-weekday-names)))
 640         ((eq x 'd)
 641          (format "%d" (math-day-number year month day)))
 642         ((eq x 'ddd)
 643          (format "%03d" (math-day-number year month day)))
 644         ((eq x 'bdd)
 645          (format "%3d" (math-day-number year month day)))
 646         ((eq x 'h)
 647          (and hour (format "%d" hour)))
 648         ((eq x 'hh)
 649          (and hour (format "%02d" hour)))
 650         ((eq x 'bh)
 651          (and hour (format "%2d" hour)))
 652         ((eq x 'H)
 653          (and hour (format "%d" (1+ (% (+ hour 11) 12)))))
 654         ((eq x 'HH)
 655          (and hour (format "%02d" (1+ (% (+ hour 11) 12)))))
 656         ((eq x 'BH)
 657          (and hour (format "%2d" (1+ (% (+ hour 11) 12)))))
 658         ((eq x 'p)
 659          (and hour (if (< hour 12) "a" "p")))
 660         ((eq x 'P)
 661          (and hour (if (< hour 12) "A" "P")))
 662         ((eq x 'pp)
 663          (and hour (if (< hour 12) "am" "pm")))
 664         ((eq x 'PP)
 665          (and hour (if (< hour 12) "AM" "PM")))
 666         ((eq x 'pppp)
 667          (and hour (if (< hour 12) "a.m." "p.m.")))
 668         ((eq x 'PPPP)
 669          (and hour (if (< hour 12) "A.M." "P.M.")))
 670         ((eq x 'm)
 671          (and minute (format "%d" minute)))
 672         ((eq x 'mm)
 673          (and minute (format "%02d" minute)))
 674         ((eq x 'bm)
 675          (and minute (format "%2d" minute)))
 676         ((eq x 'C)
 677          (and second (not (math-zerop second))
 678               ":"))
 679         ((memq x '(s ss bs SS BS))
 680          (and second
 681               (not (and (memq x '(SS BS)) (math-zerop second)))
 682               (if (integerp second)
 683                   (format (cond ((memq x '(ss SS)) "%02d")
 684                                 ((memq x '(bs BS)) "%2d")
 685                                 (t "%d"))
 686                           second)
 687                 (concat (if (Math-lessp second 10)
 688                             (cond ((memq x '(ss SS)) "0")
 689                                   ((memq x '(bs BS)) " ")
 690                                   (t ""))
 691                           "")
 692                         (let ((calc-float-format
 693                                (list 'fix (min (- 12 calc-internal-prec)
 694                                                0))))
 695                           (math-format-number second))))))))
 696
 697
 698 (defun math-parse-date (str)
 699   (catch 'syntax
 700     (or (math-parse-standard-date str t)
 701         (math-parse-standard-date str nil)
 702         (and (string-match "\\`[^-+/0-9a-zA-Z]*\\([-+]?[0-9]+\\.?[0-9]*\\([eE][-+]?[0-9]+\\)?\\)[^-+/0-9a-zA-Z]*\\'" str)
 703              (list 'date (math-read-number (math-match-substring str 1))))
 704         (let ((case-fold-search t)
 705               (year nil) (month nil) (day nil) (weekday nil)
 706               (hour nil) (minute nil) (second nil) (bc-flag nil)
 707               (a nil) (b nil) (c nil) (bigyear nil) temp)
 708
 709           ;; Extract the time, if any.
 710           (if (or (string-match "\\([0-9][0-9]?\\):\\([0-9][0-9]?\\)\\(:\\([0-9][0-9]?\\(\\.[0-9]+\\)?\\)\\)? *\\([ap]m?\\|[ap]\\. *m\\.\\|noon\\|n\\>\\|midnight\\|mid\\>\\|m\\>\\)?" str)
 711                   (string-match "\\([0-9][0-9]?\\)\\(\\)\\(\\(\\(\\)\\)\\) *\\([ap]m?\\|[ap]\\. *m\\.\\|noon\\|n\\>\\|midnight\\|mid\\>\\|m\\>\\)" str))
 712               (let ((ampm (math-match-substring str 6)))
 713                 (setq hour (string-to-int (math-match-substring str 1))
 714                       minute (math-match-substring str 2)
 715                       second (math-match-substring str 4)
 716                       str (concat (substring str 0 (match-beginning 0))
 717                                   (substring str (match-end 0))))
 718                 (if (equal minute "")
 719                     (setq minute 0)
 720                   (setq minute (string-to-int minute)))
 721                 (if (equal second "")
 722                     (setq second 0)
 723                   (setq second (math-read-number second)))
 724                 (if (equal ampm "")
 725                     (if (> hour 23)
 726                         (throw 'syntax "Hour value out of range"))
 727                   (setq ampm (upcase (aref ampm 0)))
 728                   (if (memq ampm '(?N ?M))
 729                       (if (and (= hour 12) (= minute 0) (eq second 0))
 730                           (if (eq ampm ?M) (setq hour 0))
 731                         (throw 'syntax
 732                                "Time must be 12:00:00 in this context"))
 733                     (if (or (= hour 0) (> hour 12))
 734                         (throw 'syntax "Hour value out of range"))
 735                     (if (eq (= ampm ?A) (= hour 12))
 736                         (setq hour (% (+ hour 12) 24)))))))
 737
 738           ;; Rewrite xx-yy-zz to xx/yy/zz to avoid seeing "-" as a minus sign.
 739           (while (string-match "[0-9a-zA-Z]\\(-\\)[0-9a-zA-Z]" str)
 740             (progn
 741               (setq str (copy-sequence str))
 742               (aset str (match-beginning 1) ?\/)))
 743
 744           ;; Extract obvious month or weekday names.
 745           (if (string-match "[a-zA-Z]" str)
 746               (progn
 747                 (setq month (math-parse-date-word math-long-month-names))
 748                 (setq weekday (math-parse-date-word math-long-weekday-names))
 749                 (or month (setq month
 750                                 (math-parse-date-word math-short-month-names)))
 751                 (or weekday (math-parse-date-word math-short-weekday-names))
 752                 (or hour
 753                     (if (setq temp (math-parse-date-word
 754                                     '( "noon" "midnight" "mid" )))
 755                         (setq hour (if (= temp 1) 12 0) minute 0 second 0)))
 756                 (or (math-parse-date-word '( "ad" "a.d." ))
 757                     (if (math-parse-date-word '( "bc" "b.c." ))
 758                         (setq bc-flag t)))
 759                 (if (string-match "[a-zA-Z]+" str)
 760                     (throw 'syntax (format "Bad word in date: \"%s\""
 761                                            (math-match-substring str 0))))))
 762
 763           ;; If there is a huge number other than the year, ignore it.
 764           (while (and (string-match "[-+]?0*[1-9][0-9][0-9][0-9][0-9]+" str)
 765                       (setq temp (concat (substring str 0 (match-beginning 0))
 766                                          (substring str (match-end 0))))
 767                       (string-match "[4-9][0-9]\\|[0-9][0-9][0-9]\\|[-+][0-9]+[^-]*\\'" temp))
 768             (setq str temp))
 769
 770           ;; If there is a number with a sign or a large number, it is a year.
 771           (if (or (string-match "\\([-+][0-9]+\\)[^-]*\\'" str)
 772                   (string-match "\\(0*[1-9][0-9][0-9]+\\)" str))
 773               (setq year (math-match-substring str 1)
 774                     str (concat (substring str 0 (match-beginning 1))
 775                                 (substring str (match-end 1)))
 776                     year (math-read-number year)
 777                     bigyear t))
 778
 779           ;; Collect remaining numbers.
 780           (setq temp 0)
 781           (while (string-match "[0-9]+" str temp)
 782             (and c (throw 'syntax "Too many numbers in date"))
 783             (setq c (string-to-int (math-match-substring str 0)))
 784             (or b (setq b c c nil))
 785             (or a (setq a b b nil))
 786             (setq temp (match-end 0)))
 787
 788           ;; Check that we have the right amount of information.
 789           (setq temp (+ (if year 1 0) (if month 1 0) (if day 1 0)
 790                         (if a 1 0) (if b 1 0) (if c 1 0)))
 791           (if (> temp 3)
 792               (throw 'syntax "Too many numbers in date")
 793             (if (or (< temp 2) (and year (= temp 2)))
 794                 (throw 'syntax "Not enough numbers in date")
 795               (if (= temp 2)   ; if year omitted, assume current year
 796                   (setq year (math-this-year)))))
 797
 798           ;; A large number must be a year.
 799           (or year
 800               (if (and a (or (> a 31) (< a 1)))
 801                   (setq year a a b b c c nil)
 802                 (if (and b (or (> b 31) (< b 1)))
 803                     (setq year b b c c nil)
 804                   (if (and c (or (> c 31) (< c 1)))
 805                       (setq year c c nil)))))
 806
 807           ;; A medium-large number must be a day.
 808           (if year
 809               (if (and a (> a 12))
 810                   (setq day a a b b c c nil)
 811                 (if (and b (> b 12))
 812                     (setq day b b c c nil)
 813                   (if (and c (> c 12))
 814                       (setq day c c nil)))))
 815
 816           ;; We may know enough to sort it out now.
 817           (if (and year day)
 818               (or month (setq month a))
 819             (if (and year month)
 820                 (setq day a)
 821
 822               ;; Interpret order of numbers as same as for display format.
 823               (setq temp calc-date-format)
 824               (while temp
 825                 (cond ((not (symbolp (car temp))))
 826                       ((memq (car temp) '(Y YY BY YYY YYYY))
 827                        (or year (setq year a a b b c)))
 828                       ((memq (car temp) '(M MM BM mmm Mmm Mmmm MMM MMMM))
 829                        (or month (setq month a a b b c)))
 830                       ((memq (car temp) '(D DD BD))
 831                        (or day (setq day a a b b c))))
 832                 (setq temp (cdr temp)))
 833
 834               ;; If display format was not complete, assume American style.
 835               (or month (setq month a a b b c))
 836               (or day (setq day a a b b c))
 837               (or year (setq year a a b b c))))
 838
 839           (if bc-flag
 840               (setq year (math-neg (math-abs year))))
 841
 842           (math-parse-date-validate year bigyear month day
 843                                     hour minute second)))))
 844
 845 (defun math-parse-date-validate (year bigyear month day hour minute second)
 846   (and (not bigyear) (natnump year) (< year 100)
 847        (setq year (+ year (if (< year 40) 2000 1900))))
 848   (if (eq year 0)
 849       (throw 'syntax "Year value is out of range"))
 850   (if (or (< month 1) (> month 12))
 851       (throw 'syntax "Month value is out of range"))
 852   (if (or (< day 1) (> day (math-days-in-month year month)))
 853       (throw 'syntax "Day value is out of range"))
 854   (and hour
 855        (progn
 856          (if (or (< hour 0) (> hour 23))
 857              (throw 'syntax "Hour value is out of range"))
 858          (if (or (< minute 0) (> minute 59))
 859              (throw 'syntax "Minute value is out of range"))
 860          (if (or (math-negp second) (not (Math-lessp second 60)))
 861              (throw 'syntax "Seconds value is out of range"))))
 862   (list 'date (math-dt-to-date (append (list year month day)
 863                                        (and hour (list hour minute second))))))
 864
 865 (defun math-parse-date-word (names &optional front)
 866   (let ((n 1))
 867     (while (and names (not (string-match (if (equal (car names) "Sep")
 868                                              "Sept?"
 869                                            (regexp-quote (car names)))
 870                                          str)))
 871       (setq names (cdr names)
 872             n (1+ n)))
 873     (and names
 874          (or (not front) (= (match-beginning 0) 0))
 875          (progn
 876            (setq str (concat (substring str 0 (match-beginning 0))
 877                              (if front "" " ")
 878                              (substring str (match-end 0))))
 879            n))))
 880
 881 (defun math-parse-standard-date (str with-time)
 882   (let ((case-fold-search t)
 883         (okay t) num
 884         (fmt calc-date-format) this next (gnext nil)
 885         (year nil) (month nil) (day nil) (bigyear nil) (yearday nil)
 886         (hour nil) (minute nil) (second nil) (bc-flag nil))
 887     (while (and fmt okay)
 888       (setq this (car fmt)
 889             fmt (setq fmt (or (cdr fmt)
 890                                 (prog1
 891                                     gnext
 892                                   (setq gnext nil))))
 893             next (car fmt))
 894       (if (consp next) (setq next (car next)))
 895       (or (cond ((listp this)
 896                  (or (not with-time)
 897                      (not this)
 898                      (setq gnext fmt
 899                            fmt this)))
 900                 ((stringp this)
 901                  (if (and (<= (length this) (length str))
 902                           (equal this
 903                                  (substring str 0 (length this))))
 904                      (setq str (substring str (length this)))))
 905                 ((eq this 'X)
 906                  t)
 907                 ((memq this '(n N j J))
 908                  (and (string-match "\\`[-+]?[0-9.]+\\([eE][-+]?[0-9]+\\)?" str)
 909                       (setq num (math-match-substring str 0)
 910                             str (substring str (match-end 0))
 911                             num (math-date-to-dt (math-read-number num))
 912                             num (math-sub num
 913                                           (if (memq this '(n N))
 914                                               0
 915                                             (if (or (eq this 'j)
 916                                                     (math-integerp num))
 917                                                 '(bigpos 424 721 1)
 918                                               '(float (bigpos 235 214 17)
 919                                                       -1))))
 920                             hour (or (nth 3 num) hour)
 921                             minute (or (nth 4 num) minute)
 922                             second (or (nth 5 num) second)
 923                             year (car num)
 924                             month (nth 1 num)
 925                             day (nth 2 num))))
 926                 ((eq this 'U)
 927                  (and (string-match "\\`[-+]?[0-9]+" str)
 928                       (setq num (math-match-substring str 0)
 929                             str (substring str (match-end 0))
 930                             num (math-date-to-dt
 931                                  (math-add 719164
 932                                            (math-div (math-read-number num)
 933                                                      '(float 864 2))))
 934                             hour (nth 3 num)
 935                             minute (nth 4 num)
 936                             second (nth 5 num)
 937                             year (car num)
 938                             month (nth 1 num)
 939                             day (nth 2 num))))
 940                 ((memq this '(mmm Mmm MMM))
 941                  (setq month (math-parse-date-word math-short-month-names t)))
 942                 ((memq this '(Mmmm MMMM))
 943                  (setq month (math-parse-date-word math-long-month-names t)))
 944                 ((memq this '(www Www WWW))
 945                  (math-parse-date-word math-short-weekday-names t))
 946                 ((memq this '(Wwww WWWW))
 947                  (math-parse-date-word math-long-weekday-names t))
 948                 ((memq this '(p P))
 949                  (if (string-match "\\`a" str)
 950                      (setq hour (if (= hour 12) 0 hour)
 951                            str (substring str 1))
 952                    (if (string-match "\\`p" str)
 953                        (setq hour (if (= hour 12) 12 (% (+ hour 12) 24))
 954                              str (substring str 1)))))
 955                 ((memq this '(pp PP pppp PPPP))
 956                  (if (string-match "\\`am\\|a\\.m\\." str)
 957                      (setq hour (if (= hour 12) 0 hour)
 958                            str (substring str (match-end 0)))
 959                    (if (string-match "\\`pm\\|p\\.m\\." str)
 960                        (setq hour (if (= hour 12) 12 (% (+ hour 12) 24))
 961                              str (substring str (match-end 0))))))
 962                 ((memq this '(Y YY BY YYY YYYY))
 963                  (and (if (memq next '(MM DD ddd hh HH mm ss SS))
 964                           (if (memq this '(Y YY BYY))
 965                               (string-match "\\` *[0-9][0-9]" str)
 966                             (string-match "\\`[0-9][0-9][0-9][0-9]" str))
 967                         (string-match "\\`[-+]?[0-9]+" str))
 968                       (setq year (math-match-substring str 0)
 969                             bigyear (or (eq this 'YYY)
 970                                         (memq (aref str 0) '(?\+ ?\-)))
 971                             str (substring str (match-end 0))
 972                             year (math-read-number year))))
 973                 ((eq this 'b)
 974                  t)
 975                 ((memq this '(aa AA aaaa AAAA))
 976                  (if (string-match "\\` *\\(ad\\|a\\.d\\.\\)" str)
 977                      (setq str (substring str (match-end 0)))))
 978                 ((memq this '(aaa AAA))
 979                  (if (string-match "\\` *ad *" str)
 980                      (setq str (substring str (match-end 0)))))
 981                 ((memq this '(bb BB bbb BBB bbbb BBBB))
 982                  (if (string-match "\\` *\\(bc\\|b\\.c\\.\\)" str)
 983                      (setq str (substring str (match-end 0))
 984                            bc-flag t)))
 985                 ((memq this '(s ss bs SS BS))
 986                  (and (if (memq next '(YY YYYY MM DD hh HH mm))
 987                           (string-match "\\` *[0-9][0-9]\\(\\.[0-9]+\\)?" str)
 988                         (string-match "\\` *[0-9][0-9]?\\(\\.[0-9]+\\)?" str))
 989                       (setq second (math-match-substring str 0)
 990                             str (substring str (match-end 0))
 991                             second (math-read-number second))))
 992                 ((eq this 'C)
 993                  (if (string-match "\\`:[0-9][0-9]" str)
 994                      (setq str (substring str 1))
 995                    t))
 996                 ((or (not (if (and (memq this '(ddd MM DD hh HH mm))
 997                                    (memq next '(YY YYYY MM DD ddd
 998                                                    hh HH mm ss SS)))
 999                               (if (eq this 'ddd)
1000                                   (string-match "\\` *[0-9][0-9][0-9]" str)
1001                                 (string-match "\\` *[0-9][0-9]" str))
1002                             (string-match "\\` *[0-9]+" str)))
1003                      (and (setq num (string-to-int
1004                                      (math-match-substring str 0))
1005                                 str (substring str (match-end 0)))
1006                           nil))
1007                  nil)
1008                 ((eq this 'W)
1009                  (and (>= num 0) (< num 7)))
1010                 ((memq this '(d ddd bdd))
1011                  (setq yearday num))
1012                 ((memq this '(M MM BM))
1013                  (setq month num))
1014                 ((memq this '(D DD BD))
1015                  (setq day num))
1016                 ((memq this '(h hh bh H HH BH))
1017                  (setq hour num))
1018                 ((memq this '(m mm bm))
1019                  (setq minute num)))
1020           (setq okay nil)))
1021     (if yearday
1022         (if (and month day)
1023             (setq yearday nil)
1024           (setq month 1 day 1)))
1025     (if (and okay (equal str ""))
1026         (and month day (or (not (or hour minute second))
1027                            (and hour minute))
1028              (progn
1029                (or year (setq year (math-this-year)))
1030                (or second (setq second 0))
1031                (if bc-flag
1032                    (setq year (math-neg (math-abs year))))
1033                (setq day (math-parse-date-validate year bigyear month day
1034                                                    hour minute second))
1035                (if yearday
1036                    (setq day (math-add day (1- yearday))))
1037                day)))))
1038
1039
1040 (defun calcFunc-now (&optional zone)
1041   (let ((date (let ((calc-date-format nil))
1042                 (math-parse-date (current-time-string)))))
1043     (if (consp date)
1044         (if zone
1045             (math-add date (math-div (math-sub (calcFunc-tzone nil date)
1046                                                (calcFunc-tzone zone date))
1047                                      '(float 864 2)))
1048           date)
1049       (calc-record-why "*Unable to interpret current date from system")
1050       (append (list 'calcFunc-now) (and zone (list zone))))))
1051
1052 (defun calcFunc-year (date)
1053   (car (math-date-to-dt date)))
1054
1055 (defun calcFunc-month (date)
1056   (nth 1 (math-date-to-dt date)))
1057
1058 (defun calcFunc-day (date)
1059   (nth 2 (math-date-to-dt date)))
1060
1061 (defun calcFunc-weekday (date)
1062   (if (eq (car-safe date) 'date)
1063       (setq date (nth 1 date)))
1064   (or (math-realp date)
1065       (math-reject-arg date 'datep))
1066   (math-mod (math-add (math-floor date) 6) 7))
1067
1068 (defun calcFunc-yearday (date)
1069   (let ((dt (math-date-to-dt date)))
1070     (math-day-number (car dt) (nth 1 dt) (nth 2 dt))))
1071
1072 (defun calcFunc-hour (date)
1073   (if (eq (car-safe date) 'hms)
1074       (nth 1 date)
1075     (or (nth 3 (math-date-to-dt date)) 0)))
1076
1077 (defun calcFunc-minute (date)
1078   (if (eq (car-safe date) 'hms)
1079       (nth 2 date)
1080     (or (nth 4 (math-date-to-dt date)) 0)))
1081
1082 (defun calcFunc-second (date)
1083   (if (eq (car-safe date) 'hms)
1084       (nth 3 date)
1085     (or (nth 5 (math-date-to-dt date)) 0)))
1086
1087 (defun calcFunc-time (date)
1088   (let ((dt (math-date-to-dt date)))
1089     (if (nth 3 dt)
1090         (cons 'hms (nthcdr 3 dt))
1091       (list 'hms 0 0 0))))
1092
1093 (defun calcFunc-date (date &optional month day hour minute second)
1094   (and (math-messy-integerp month) (setq month (math-trunc month)))
1095   (and month (not (integerp month)) (math-reject-arg month 'fixnump))
1096   (and (math-messy-integerp day) (setq day (math-trunc day)))
1097   (and day (not (integerp day)) (math-reject-arg day 'fixnump))
1098   (if (and (eq (car-safe hour) 'hms) (not minute))
1099       (setq second (nth 3 hour)
1100             minute (nth 2 hour)
1101             hour (nth 1 hour)))
1102   (and (math-messy-integerp hour) (setq hour (math-trunc hour)))
1103   (and hour (not (integerp hour)) (math-reject-arg hour 'fixnump))
1104   (and (math-messy-integerp minute) (setq minute (math-trunc minute)))
1105   (and minute (not (integerp minute)) (math-reject-arg minute 'fixnump))
1106   (and (math-messy-integerp second) (setq second (math-trunc second)))
1107   (and second (not (math-realp second)) (math-reject-arg second 'realp))
1108   (if month
1109       (progn
1110         (and (math-messy-integerp date) (setq date (math-trunc date)))
1111         (and date (not (math-integerp date)) (math-reject-arg date 'integerp))
1112         (if day
1113             (if hour
1114                 (list 'date (math-dt-to-date (list date month day hour
1115                                                    (or minute 0)
1116                                                    (or second 0))))
1117               (list 'date (math-dt-to-date (list date month day))))
1118           (list 'date (math-dt-to-date (list (math-this-year) date month)))))
1119     (if (math-realp date)
1120         (list 'date date)
1121       (if (eq (car date) 'date)
1122           (nth 1 date)
1123         (math-reject-arg date 'datep)))))
1124
1125 (defun calcFunc-julian (date &optional zone)
1126   (if (math-realp date)
1127       (list 'date (if (math-integerp date)
1128                       (math-sub date '(bigpos 424 721 1))
1129                     (setq date (math-sub date '(float (bigpos 235 214 17) -1)))
1130                     (math-sub date (math-div (calcFunc-tzone zone date)
1131                                              '(float 864 2)))))
1132     (if (eq (car date) 'date)
1133         (math-add (nth 1 date) (if (math-integerp (nth 1 date))
1134                                    '(bigpos 424 721 1)
1135                                  (math-add '(float (bigpos 235 214 17) -1)
1136                                            (math-div (calcFunc-tzone zone date)
1137                                                      '(float 864 2)))))
1138       (math-reject-arg date 'datep))))
1139
1140 (defun calcFunc-unixtime (date &optional zone)
1141   (if (math-realp date)
1142       (progn
1143         (setq date (math-add 719164 (math-div date '(float 864 2))))
1144         (list 'date (math-sub date (math-div (calcFunc-tzone zone date)
1145                                              '(float 864 2)))))
1146     (if (eq (car date) 'date)
1147         (math-add (nth 1 (math-date-parts (nth 1 date) 719164))
1148                   (calcFunc-tzone zone date))
1149       (math-reject-arg date 'datep))))
1150
1151 (defun calcFunc-tzone (&optional zone date)
1152   (if zone
1153       (cond ((math-realp zone)
1154              (math-round (math-mul zone 3600)))
1155             ((eq (car zone) 'hms)
1156              (math-round (math-mul (math-from-hms zone 'deg) 3600)))
1157             ((eq (car zone) '+)
1158              (math-add (calcFunc-tzone (nth 1 zone) date)
1159                        (calcFunc-tzone (nth 2 zone) date)))
1160             ((eq (car zone) '-)
1161              (math-sub (calcFunc-tzone (nth 1 zone) date)
1162                        (calcFunc-tzone (nth 2 zone) date)))
1163             ((eq (car zone) 'var)
1164              (let ((name (upcase (symbol-name (nth 1 zone))))
1165                    found)
1166                (if (setq found (assoc name math-tzone-names))
1167                    (calcFunc-tzone (math-add (nth 1 found)
1168                                              (if (integerp (nth 2 found))
1169                                                  (nth 2 found)
1170                                                (or
1171                                                 (math-daylight-savings-adjust
1172                                                  date (car found))
1173                                                 0)))
1174                                    date)
1175                  (if (equal name "LOCAL")
1176                      (calcFunc-tzone nil date)
1177                    (math-reject-arg zone "*Unrecognized time zone name")))))
1178             (t (math-reject-arg zone "*Expected a time zone")))
1179     (if (calc-var-value 'var-TimeZone)
1180         (calcFunc-tzone (calc-var-value 'var-TimeZone) date)
1181       (let ((p math-tzone-names)
1182             (offset 0)
1183             (tz '(var error var-error)))
1184         (save-excursion
1185           (set-buffer (get-buffer-create " *Calc Temporary*"))
1186           (erase-buffer)
1187           (call-process "date" nil t)
1188           (goto-char 1)
1189           (let ((case-fold-search t))
1190             (while (and p (not (search-forward (car (car p)) nil t)))
1191               (setq p (cdr p))))
1192           (if (looking-at "\\([-+][0-9]?[0-9]\\)\\([0-9][0-9]\\)?\\(\\'\\|[^0-9]\\)")
1193               (setq offset (math-add
1194                             (string-to-int (buffer-substring
1195                                             (match-beginning 1)
1196                                             (match-end 1)))
1197                             (if (match-beginning 2)
1198                                 (math-div (string-to-int (buffer-substring
1199                                                           (match-beginning 2)
1200                                                           (match-end 2)))
1201                                           60)
1202                               0)))))
1203         (if p
1204             (progn
1205               (setq p (car p))
1206               ;; Try to convert to a generalized time zone.
1207               (if (integerp (nth 2 p))
1208                   (let ((gen math-tzone-names))
1209                     (while (and gen
1210                                 (not (equal (nth 2 (car gen)) (car p)))
1211                                 (not (equal (nth 3 (car gen)) (car p)))
1212                                 (not (equal (nth 4 (car gen)) (car p)))
1213                                 (not (equal (nth 5 (car gen)) (car p))))
1214                       (setq gen (cdr gen)))
1215                     (and gen
1216                          (setq gen (car gen))
1217                          (equal (math-daylight-savings-adjust nil (car gen))
1218                                 (nth 2 p))
1219                          (setq p gen))))
1220               (setq tz (math-add (list 'var
1221                                        (intern (car p))
1222                                        (intern (concat "var-" (car p))))
1223                                  offset))))
1224         (kill-buffer " *Calc Temporary*")
1225         (setq var-TimeZone tz)
1226         (calc-refresh-evaltos 'var-TimeZone)
1227         (calcFunc-tzone tz date)))))
1228
1229 ;;; Note: Longer names must appear before shorter names which are
1230 ;;;       substrings of them.
1231 (defvar math-tzone-names
1232   '(( "UTC" 0 0)
1233     ( "MEGT" -1 "MET" "METDST" )                          ; Middle Europe
1234     ( "METDST" -1 -1 ) ( "MET" -1 0 )
1235     ( "MEGZ" -1 "MEZ" "MESZ" ) ( "MEZ" -1 0 ) ( "MESZ" -1 -1 )
1236     ( "WEGT" 0 "WET" "WETDST" )                           ; Western Europe
1237     ( "WETDST" 0 -1 ) ( "WET" 0 0 )
1238     ( "BGT" 0 "GMT" "BST" ) ( "GMT" 0 0 ) ( "BST" 0 -1 )  ; Britain
1239     ( "NGT" (float 35 -1) "NST" "NDT" )                   ; Newfoundland
1240     ( "NST" (float 35 -1) 0 ) ( "NDT" (float 35 -1) -1 )
1241     ( "AGT" 4 "AST" "ADT" ) ( "AST" 4 0 ) ( "ADT" 4 -1 )  ; Atlantic
1242     ( "EGT" 5 "EST" "EDT" ) ( "EST" 5 0 ) ( "EDT" 5 -1 )  ; Eastern
1243     ( "CGT" 6 "CST" "CDT" ) ( "CST" 6 0 ) ( "CDT" 6 -1 )  ; Central
1244     ( "MGT" 7 "MST" "MDT" ) ( "MST" 7 0 ) ( "MDT" 7 -1 )  ; Mountain
1245     ( "PGT" 8 "PST" "PDT" ) ( "PST" 8 0 ) ( "PDT" 8 -1 )  ; Pacific
1246     ( "YGT" 9 "YST" "YDT" ) ( "YST" 9 0 ) ( "YDT" 9 -1 )  ; Yukon
1247     )
1248   "No doc yet.  See calc manual for now. ")
1249
1250
1251 (defun math-daylight-savings-adjust (date zone &optional dt)
1252   (or date (setq date (nth 1 (calcFunc-now))))
1253   (let (bump)
1254     (if (eq (car-safe date) 'date)
1255         (setq bump 0
1256               date (nth 1 date))
1257       (if (and date (math-realp date))
1258           (let ((zadj (assoc zone math-tzone-names)))
1259             (if zadj (setq bump -1
1260                            date (math-sub date (math-div (nth 1 zadj)
1261                                                          '(float 24 0))))))
1262         (math-reject-arg date 'datep)))
1263     (setq date (math-float date))
1264     (or dt (setq dt (math-date-to-dt date)))
1265     (and math-daylight-savings-hook
1266          (funcall math-daylight-savings-hook date dt zone bump))))
1267
1268 (defun calcFunc-dsadj (date &optional zone)
1269   (if zone
1270       (or (eq (car-safe zone) 'var)
1271           (math-reject-arg zone "*Time zone variable expected"))
1272     (setq zone (or (calc-var-value 'var-TimeZone)
1273                    (progn
1274                      (calcFunc-tzone)
1275                      (calc-var-value 'var-TimeZone)))))
1276   (setq zone (and (eq (car-safe zone) 'var)
1277                   (upcase (symbol-name (nth 1 zone)))))
1278   (let ((zadj (assoc zone math-tzone-names)))
1279     (or zadj (math-reject-arg zone "*Unrecognized time zone name"))
1280     (if (integerp (nth 2 zadj))
1281         (nth 2 zadj)
1282       (math-daylight-savings-adjust date zone))))
1283
1284 (defun calcFunc-tzconv (date z1 z2)
1285   (if (math-realp date)
1286       (nth 1 (calcFunc-tzconv (list 'date date) z1 z2))
1287     (calcFunc-unixtime (calcFunc-unixtime date z1) z2)))
1288
1289 (defvar math-daylight-savings-hook 'math-std-daylight-savings)
1290
1291 (defun math-std-daylight-savings (date dt zone bump)
1292   "Standard North American daylight savings algorithm.
1293 This implements the rules for the U.S. and Canada as of 1987.
1294 Daylight savings begins on the first Sunday of April at 2 a.m.,
1295 and ends on the last Sunday of October at 2 a.m."
1296   (cond ((< (nth 1 dt) 4) 0)
1297         ((= (nth 1 dt) 4)
1298          (let ((sunday (math-prev-weekday-in-month date dt 7 0)))
1299            (cond ((< (nth 2 dt) sunday) 0)
1300                  ((= (nth 2 dt) sunday)
1301                   (if (>= (nth 3 dt) (+ 3 bump)) -1 0))
1302                  (t -1))))
1303         ((< (nth 1 dt) 10) -1)
1304         ((= (nth 1 dt) 10)
1305          (let ((sunday (math-prev-weekday-in-month date dt 31 0)))
1306            (cond ((< (nth 2 dt) sunday) -1)
1307                  ((= (nth 2 dt) sunday)
1308                   (if (>= (nth 3 dt) (+ 2 bump)) 0 -1))
1309                  (t 0))))
1310         (t 0)))
1311
1312 ;;; Compute the day (1-31) of the WDAY (0-6) on or preceding the given
1313 ;;; day of the given month.
1314 (defun math-prev-weekday-in-month (date dt day wday)
1315   (or day (setq day (nth 2 dt)))
1316   (if (> day (math-days-in-month (car dt) (nth 1 dt)))
1317       (setq day (math-days-in-month (car dt) (nth 1 dt))))
1318   (let ((zeroth (math-sub (math-floor date) (nth 2 dt))))
1319     (math-sub (nth 1 (calcFunc-newweek (math-add zeroth day))) zeroth)))
1320
1321 (defun calcFunc-pwday (date &optional day weekday)
1322   (if (eq (car-safe date) 'date)
1323       (setq date (nth 1 date)))
1324   (or (math-realp date)
1325       (math-reject-arg date 'datep))
1326   (if (math-messy-integerp day) (setq day (math-trunc day)))
1327   (or (integerp day) (math-reject-arg day 'fixnump))
1328   (if (= day 0) (setq day 31))
1329   (and (or (< day 7) (> day 31)) (math-reject-arg day 'range))
1330   (math-prev-weekday-in-month date (math-date-to-dt date) day (or weekday 0)))
1331
1332
1333 (defun calcFunc-newweek (date &optional weekday)
1334   (if (eq (car-safe date) 'date)
1335       (setq date (nth 1 date)))
1336   (or (math-realp date)
1337       (math-reject-arg date 'datep))
1338   (or weekday (setq weekday 0))
1339   (and (math-messy-integerp weekday) (setq weekday (math-trunc weekday)))
1340   (or (integerp weekday) (math-reject-arg weekday 'fixnump))
1341   (and (or (< weekday 0) (> weekday 6)) (math-reject-arg weekday 'range))
1342   (setq date (math-floor date))
1343   (list 'date (math-sub date (calcFunc-weekday (math-sub date weekday)))))
1344
1345 (defun calcFunc-newmonth (date &optional day)
1346   (or day (setq day 1))
1347   (and (math-messy-integerp day) (setq day (math-trunc day)))
1348   (or (integerp day) (math-reject-arg day 'fixnump))
1349   (and (or (< day 0) (> day 31)) (math-reject-arg day 'range))
1350   (let ((dt (math-date-to-dt date)))
1351     (if (or (= day 0) (> day (math-days-in-month (car dt) (nth 1 dt))))
1352         (setq day (math-days-in-month (car dt) (nth 1 dt))))
1353     (and (eq (car dt) 1752) (= (nth 1 dt) 9)
1354          (if (>= day 14) (setq day (- day 11))))
1355     (list 'date (math-add (math-dt-to-date (list (car dt) (nth 1 dt) 1))
1356                           (1- day)))))
1357
1358 (defun calcFunc-newyear (date &optional day)
1359   (or day (setq day 1))
1360   (and (math-messy-integerp day) (setq day (math-trunc day)))
1361   (or (integerp day) (math-reject-arg day 'fixnump))
1362   (let ((dt (math-date-to-dt date)))
1363     (if (and (>= day 0) (<= day 366))
1364         (let ((max (if (eq (car dt) 1752) 355
1365                      (if (math-leap-year-p (car dt)) 366 365))))
1366           (if (or (= day 0) (> day max)) (setq day max))
1367           (list 'date (math-add (math-dt-to-date (list (car dt) 1 1))
1368                                 (1- day))))
1369       (if (and (>= day -12) (<= day -1))
1370           (list 'date (math-dt-to-date (list (car dt) (- day) 1)))
1371         (math-reject-arg day 'range)))))
1372
1373 (defun calcFunc-incmonth (date &optional step)
1374   (or step (setq step 1))
1375   (and (math-messy-integerp step) (setq step (math-trunc step)))
1376   (or (math-integerp step) (math-reject-arg step 'integerp))
1377   (let* ((dt (math-date-to-dt date))
1378          (year (car dt))
1379          (month (math-add (1- (nth 1 dt)) step))
1380          (extra (calcFunc-idiv month 12))
1381          (day (nth 2 dt)))
1382     (setq month (1+ (math-sub month (math-mul extra 12)))
1383           year (math-add year extra)
1384           day (min day (math-days-in-month year month)))
1385     (and (math-posp (car dt)) (not (math-posp year))
1386          (setq year (math-sub year 1)))   ; did we go past the year zero?
1387     (and (math-negp (car dt)) (not (math-negp year))
1388          (setq year (math-add year 1)))
1389     (list 'date (math-dt-to-date
1390                  (cons year (cons month (cons day (cdr (cdr (cdr dt))))))))))
1391
1392 (defun calcFunc-incyear (date &optional step)
1393   (calcFunc-incmonth date (math-mul (or step 1) 12)))
1394
1395
1396
1397 (defun calcFunc-bsub (a b)
1398   (or (eq (car-safe a) 'date)
1399       (math-reject-arg a 'datep))
1400   (if (eq (car-safe b) 'date)
1401       (if (math-lessp (nth 1 a) (nth 1 b))
1402           (math-neg (calcFunc-bsub b a))
1403         (math-setup-holidays b)
1404         (let* ((da (math-to-business-day a))
1405                (db (math-to-business-day b)))
1406           (math-add (math-sub (car da) (car db))
1407                     (if (and (cdr db) (not (cdr da))) 1 0))))
1408     (calcFunc-badd a (math-neg b))))
1409
1410 (defvar math-holidays-cache nil)
1411 (defvar math-holidays-cache-tag t)
1412 (defun calcFunc-badd (a b)
1413   (if (eq (car-safe b) 'date)
1414       (if (eq (car-safe a) 'date)
1415           (math-reject-arg nil "*Illegal combination in date arithmetic")
1416         (calcFunc-badd b a))
1417     (if (eq (car-safe a) 'date)
1418         (if (Math-realp b)
1419             (if (Math-zerop b)
1420                 a
1421               (let* ((d (math-to-business-day a))
1422                      (bb (math-add (car d)
1423                                    (if (and (cdr d) (Math-posp b))
1424                                        (math-sub b 1) b))))
1425                 (or (math-from-business-day bb)
1426                     (calcFunc-badd a b))))
1427           (if (eq (car-safe b) 'hms)
1428               (let ((hours (nth 7 math-holidays-cache)))
1429                 (setq b (math-div (math-from-hms b 'deg) 24))
1430                 (if hours
1431                     (setq b (math-div b (cdr hours))))
1432                 (calcFunc-badd a b))
1433             (math-reject-arg nil "*Illegal combination in date arithmetic")))
1434       (math-reject-arg a 'datep))))
1435
1436 (defun calcFunc-holiday (a)
1437   (if (cdr (math-to-business-day a)) 1 0))
1438
1439 ;;; Compute the number of business days since Jan 1, 1 AD.
1440
1441 (defun math-to-business-day (date &optional need-year)
1442   (if (eq (car-safe date) 'date)
1443       (setq date (nth 1 date)))
1444   (or (Math-realp date)
1445       (math-reject-arg date 'datep))
1446   (let* ((day (math-floor date))
1447          (time (math-sub date day))
1448          (dt (math-date-to-dt day))
1449          (delta 0)
1450          (holiday nil))
1451     (or (not need-year) (eq (car dt) need-year)
1452         (math-reject-arg (list 'date day) "*Generated holiday has wrong year"))
1453     (math-setup-holidays date)
1454     (let ((days (car math-holidays-cache)))
1455       (while (and (setq days (cdr days)) (< (car days) day))
1456         (setq delta (1+ delta)))
1457       (and days (= day (car days))
1458            (setq holiday t)))
1459     (let* ((weekdays (nth 3 math-holidays-cache))
1460            (weeks (1- (/ (+ day 6) 7)))
1461            (wkday (- day 1 (* weeks 7))))
1462       (setq delta (+ delta (* weeks (length weekdays))))
1463       (while (and weekdays (< (car weekdays) wkday))
1464         (setq weekdays (cdr weekdays)
1465               delta (1+ delta)))
1466       (and weekdays (eq wkday (car weekdays))
1467            (setq holiday t)))
1468     (let ((hours (nth 7 math-holidays-cache)))
1469       (if hours
1470           (progn
1471             (setq time (math-div (math-sub time (car hours)) (cdr hours)))
1472             (if (Math-lessp time 0) (setq time 0))
1473             (or (Math-lessp time 1)
1474                 (setq time
1475                       (math-sub 1
1476                                 (math-div 1 (math-mul 86400 (cdr hours)))))))))
1477     (cons (math-add (math-sub day delta) time) holiday)))
1478
1479
1480 ;;; Compute the date a certain number of business days since Jan 1, 1 AD.
1481 ;;; If this returns nil, holiday table was adjusted; redo calculation.
1482
1483 (defun math-from-business-day (num)
1484   (let* ((day (math-floor num))
1485          (time (math-sub num day)))
1486     (or (integerp day)
1487         (math-reject-arg nil "*Date is outside valid range"))
1488     (math-setup-holidays)
1489     (let ((days (nth 1 math-holidays-cache))
1490           (delta 0))
1491       (while (and (setq days (cdr days)) (< (car days) day))
1492         (setq delta (1+ delta)))
1493       (setq day (+ day delta)))
1494     (let* ((weekdays (nth 3 math-holidays-cache))
1495            (bweek (- 7 (length weekdays)))
1496            (weeks (1- (/ (+ day (1- bweek)) bweek)))
1497            (wkday (- day 1 (* weeks bweek)))
1498            (w 0))
1499       (setq day (+ day (* weeks (length weekdays))))
1500       (while (if (memq w weekdays)
1501                  (setq day (1+ day))
1502                (> (setq wkday (1- wkday)) 0))
1503         (setq w (1+ w)))
1504       (let ((hours (nth 7 math-holidays-cache)))
1505         (if hours
1506             (setq time (math-add (math-mul time (cdr hours)) (car hours)))))
1507       (and (not (math-setup-holidays day))
1508            (list 'date (math-add day time))))))
1509
1510
1511 (defun math-setup-holidays (&optional date)
1512   (or (eq (calc-var-value 'var-Holidays) math-holidays-cache-tag)
1513       (let ((h (calc-var-value 'var-Holidays))
1514             (wdnames '( (sun . 0) (mon . 1) (tue . 2) (wed . 3)
1515                         (thu . 4) (fri . 5) (sat . 6) ))
1516             (days nil) (weekdays nil) (exprs nil) (limit nil) (hours nil))
1517         (or (math-vectorp h)
1518             (math-reject-arg h "*Holidays variable must be a vector"))
1519         (while (setq h (cdr h))
1520           (cond ((or (and (eq (car-safe (car h)) 'date)
1521                           (integerp (nth 1 (car h))))
1522                      (and (eq (car-safe (car h)) 'intv)
1523                           (eq (car-safe (nth 2 (car h))) 'date))
1524                      (eq (car-safe (car h)) 'vec))
1525                  (setq days (cons (car h) days)))
1526                 ((and (eq (car-safe (car h)) 'var)
1527                       (assq (nth 1 (car h)) wdnames))
1528                  (setq weekdays (cons (cdr (assq (nth 1 (car h)) wdnames))
1529                                       weekdays)))
1530                 ((and (eq (car-safe (car h)) 'intv)
1531                       (eq (car-safe (nth 2 (car h))) 'hms)
1532                       (eq (car-safe (nth 3 (car h))) 'hms))
1533                  (if hours
1534                      (math-reject-arg
1535                       (car h) "*Only one hours interval allowed in Holidays"))
1536                  (setq hours (math-div (car h) '(hms 24 0 0)))
1537                  (if (or (Math-lessp (nth 2 hours) 0)
1538                          (Math-lessp 1 (nth 3 hours)))
1539                      (math-reject-arg
1540                       (car h) "*Hours interval out of range"))
1541                  (setq hours (cons (nth 2 hours)
1542                                    (math-sub (nth 3 hours) (nth 2 hours))))
1543                  (if (Math-zerop (cdr hours))
1544                      (math-reject-arg
1545                       (car h) "*Degenerate hours interval")))
1546                 ((or (and (eq (car-safe (car h)) 'intv)
1547                           (Math-integerp (nth 2 (car h)))
1548                           (Math-integerp (nth 3 (car h))))
1549                      (and (integerp (car h))
1550                           (> (car h) 1900) (< (car h) 2100)))
1551                  (if limit
1552                      (math-reject-arg
1553                       (car h) "*Only one limit allowed in Holidays"))
1554                  (setq limit (calcFunc-vint (car h) '(intv 3 1 2737)))
1555                  (if (equal limit '(vec))
1556                      (math-reject-arg (car h) "*Limit is out of range")))
1557                 ((or (math-expr-contains (car h) '(var y var-y))
1558                      (math-expr-contains (car h) '(var m var-m)))
1559                  (setq exprs (cons (car h) exprs)))
1560                 (t (math-reject-arg
1561                     (car h) "*Holidays must contain a vector of holidays"))))
1562         (if (= (length weekdays) 7)
1563             (math-reject-arg nil "*Too many weekend days"))
1564         (setq math-holidays-cache (list (list -1)  ; 0: days list
1565                                         (list -1)  ; 1: inverse-days list
1566                                         nil        ; 2: exprs
1567                                         (sort weekdays '<)
1568                                         (or limit '(intv 3 1 2737))
1569                                         nil        ; 5: (lo.hi) expanded years
1570                                         (cons exprs days)
1571                                         hours)     ; 7: business hours
1572               math-holidays-cache-tag (calc-var-value 'var-Holidays))))
1573   (if date
1574       (let ((year (calcFunc-year date))
1575             (limits (nth 5 math-holidays-cache))
1576             (done nil))
1577         (or (eq (calcFunc-in year (nth 4 math-holidays-cache)) 1)
1578             (progn
1579               (or (eq (car-safe date) 'date) (setq date (list 'date date)))
1580               (math-reject-arg date "*Date is outside valid range")))
1581         (unwind-protect
1582             (let ((days (nth 6 math-holidays-cache)))
1583               (if days
1584                   (let ((year nil))   ; see below
1585                     (setcar (nthcdr 6 math-holidays-cache) nil)
1586                     (math-setup-add-holidays (cons 'vec (cdr days)))
1587                     (setcar (nthcdr 2 math-holidays-cache) (car days))))
1588               (cond ((not (nth 2 math-holidays-cache))
1589                      (setq done t)
1590                      nil)
1591                     ((not limits)
1592                      (setcar (nthcdr 5 math-holidays-cache) (cons year year))
1593                      (math-setup-year-holidays year)
1594                      (setq done t))
1595                     ((< year (car limits))
1596                      (message "Computing holidays, %d .. %d"
1597                               year (1- (car limits)))
1598                      (calc-set-command-flag 'clear-message)
1599                      (while (< year (car limits))
1600                        (setcar limits (1- (car limits)))
1601                        (math-setup-year-holidays (car limits)))
1602                      (setq done t))
1603                     ((> year (cdr limits))
1604                      (message "Computing holidays, %d .. %d"
1605                               (1+ (cdr limits)) year)
1606                      (calc-set-command-flag 'clear-message)
1607                      (while (> year (cdr limits))
1608                        (setcdr limits (1+ (cdr limits)))
1609                        (math-setup-year-holidays (cdr limits)))
1610                      (setq done t))
1611                     (t
1612                      (setq done t)
1613                      nil)))
1614           (or done (setq math-holidays-cache-tag t))))))
1615
1616 (defun math-setup-year-holidays (year)
1617   (let ((exprs (nth 2 math-holidays-cache)))
1618     (while exprs
1619       (let* ((var-y year)
1620              (var-m nil)
1621              (expr (math-evaluate-expr (car exprs))))
1622         (if (math-expr-contains expr '(var m var-m))
1623             (let ((var-m 0))
1624               (while (<= (setq var-m (1+ var-m)) 12)
1625                 (math-setup-add-holidays (math-evaluate-expr expr))))
1626           (math-setup-add-holidays expr)))
1627       (setq exprs (cdr exprs)))))
1628
1629 (defun math-setup-add-holidays (days)   ; uses "year"
1630   (cond ((eq (car-safe days) 'vec)
1631          (while (setq days (cdr days))
1632            (math-setup-add-holidays (car days))))
1633         ((eq (car-safe days) 'intv)
1634          (let ((day (math-ceiling (nth 2 days))))
1635            (or (eq (calcFunc-in day days) 1)
1636                (setq day (math-add day 1)))
1637            (while (eq (calcFunc-in day days) 1)
1638              (math-setup-add-holidays day)
1639              (setq day (math-add day 1)))))
1640         ((eq (car-safe days) 'date)
1641          (math-setup-add-holidays (nth 1 days)))
1642         ((eq days 0))
1643         ((integerp days)
1644          (let ((b (math-to-business-day days year)))
1645            (or (cdr b)   ; don't register holidays twice!
1646                (let ((prev (car math-holidays-cache))
1647                      (iprev (nth 1 math-holidays-cache)))
1648                  (while (and (cdr prev) (< (nth 1 prev) days))
1649                    (setq prev (cdr prev) iprev (cdr iprev)))
1650                  (setcdr prev (cons days (cdr prev)))
1651                  (setcdr iprev (cons (car b) (cdr iprev)))
1652                  (while (setq iprev (cdr iprev))
1653                    (setcar iprev (1- (car iprev))))))))
1654         ((Math-realp days)
1655          (math-reject-arg (list 'date days) "*Invalid holiday value"))
1656         (t
1657          (math-reject-arg days "*Holiday formula failed to evaluate"))))
1658
1659
1660
1661
1662 ;;;; Error forms.
1663
1664 ;;; Build a standard deviation form.  [X X X]
1665 (defun math-make-sdev (x sigma)
1666   (if (memq (car-safe x) '(date mod sdev intv vec))
1667       (math-reject-arg x 'realp))
1668   (if (memq (car-safe sigma) '(date mod sdev intv vec))
1669       (math-reject-arg sigma 'realp))
1670   (if (or (Math-negp sigma) (memq (car-safe sigma) '(cplx polar)))
1671       (setq sigma (math-abs sigma)))
1672   (if (and (Math-zerop sigma) (Math-scalarp x))
1673       x
1674     (list 'sdev x sigma)))
1675 (defun calcFunc-sdev (x sigma)
1676   (math-make-sdev x sigma))
1677
1678
1679
1680 ;;;; Modulo forms.
1681
1682 (defun math-normalize-mod (a)
1683   (let ((n (math-normalize (nth 1 a)))
1684         (m (math-normalize (nth 2 a))))
1685     (if (and (math-anglep n) (math-anglep m) (math-posp m))
1686         (math-make-mod n m)
1687       (math-normalize (list 'calcFunc-makemod n m)))))
1688
1689 ;;; Build a modulo form.  [N R R]
1690 (defun math-make-mod (n m)
1691   (setq calc-previous-modulo m)
1692   (and n
1693        (cond ((not (Math-anglep m))
1694               (math-reject-arg m 'anglep))
1695              ((not (math-posp m))
1696               (math-reject-arg m 'posp))
1697              ((Math-anglep n)
1698               (if (or (Math-negp n)
1699                       (not (Math-lessp n m)))
1700                   (list 'mod (math-mod n m) m)
1701                 (list 'mod n m)))
1702              ((memq (car n) '(+ - / vec neg))
1703               (math-normalize
1704                (cons (car n)
1705                      (mapcar (function (lambda (x) (math-make-mod x m)))
1706                              (cdr n)))))
1707              ((and (eq (car n) '*) (Math-anglep (nth 1 n)))
1708               (math-mul (math-make-mod (nth 1 n) m) (nth 2 n)))
1709              ((memq (car n) '(* ^ var calcFunc-subscr))
1710               (math-mul (math-make-mod 1 m) n))
1711              (t (math-reject-arg n 'anglep)))))
1712 (defun calcFunc-makemod (n m)
1713   (math-make-mod n m))
1714
1715
1716
1717 ;;;; Interval forms.
1718
1719 ;;; Build an interval form.  [X S X X]
1720 (defun math-make-intv (mask lo hi)
1721   (if (memq (car-safe lo) '(cplx polar mod sdev intv vec))
1722       (math-reject-arg lo 'realp))
1723   (if (memq (car-safe hi) '(cplx polar mod sdev intv vec))
1724       (math-reject-arg hi 'realp))
1725   (or (eq (eq (car-safe lo) 'date) (eq (car-safe hi) 'date))
1726       (math-reject-arg (if (eq (car-safe lo) 'date) hi lo) 'datep))
1727   (if (and (or (Math-realp lo) (eq (car lo) 'date))
1728            (or (Math-realp hi) (eq (car hi) 'date)))
1729       (let ((cmp (math-compare lo hi)))
1730         (if (= cmp 0)
1731             (if (= mask 3)
1732                 lo
1733               (list 'intv mask lo hi))
1734           (if (> cmp 0)
1735               (if (= mask 3)
1736                   (list 'intv 2 lo lo)
1737                 (list 'intv mask lo lo))
1738             (list 'intv mask lo hi))))
1739     (list 'intv mask lo hi)))
1740 (defun calcFunc-intv (mask lo hi)
1741   (if (math-messy-integerp mask) (setq mask (math-trunc mask)))
1742   (or (natnump mask) (math-reject-arg mask 'fixnatnump))
1743   (or (<= mask 3) (math-reject-arg mask 'range))
1744   (math-make-intv mask lo hi))
1745
1746 (defun math-sort-intv (mask lo hi)
1747   (if (Math-lessp hi lo)
1748       (math-make-intv (aref [0 2 1 3] mask) hi lo)
1749     (math-make-intv mask lo hi)))
1750
1751
1752
1753
1754 (defun math-combine-intervals (a am b bm c cm d dm)
1755   (let (res)
1756     (if (= (setq res (math-compare a c)) 1)
1757         (setq a c am cm)
1758       (if (= res 0)
1759           (setq am (or am cm))))
1760     (if (= (setq res (math-compare b d)) -1)
1761         (setq b d bm dm)
1762       (if (= res 0)
1763           (setq bm (or bm dm))))
1764     (math-make-intv (+ (if am 2 0) (if bm 1 0)) a b)))
1765
1766
1767 (defun math-div-mod (a b m)   ; [R R R R]  (Returns nil if no solution)
1768   (and (Math-integerp a) (Math-integerp b) (Math-integerp m)
1769        (let ((u1 1) (u3 b) (v1 0) (v3 m))
1770          (while (not (eq v3 0))   ; See Knuth sec 4.5.2, exercise 15
1771            (let* ((q (math-idivmod u3 v3))
1772                   (t1 (math-sub u1 (math-mul v1 (car q)))))
1773              (setq u1 v1  u3 v3  v1 t1  v3 (cdr q))))
1774          (let ((q (math-idivmod a u3)))
1775            (and (eq (cdr q) 0)
1776                 (math-mod (math-mul (car q) u1) m))))))
1777
1778 (defun math-mod-intv (a b)
1779   (let* ((q1 (math-floor (math-div (nth 2 a) b)))
1780          (q2 (math-floor (math-div (nth 3 a) b)))
1781          (m1 (math-sub (nth 2 a) (math-mul q1 b)))
1782          (m2 (math-sub (nth 3 a) (math-mul q2 b))))
1783     (cond ((equal q1 q2)
1784            (math-sort-intv (nth 1 a) m1 m2))
1785           ((and (math-equal-int (math-sub q2 q1) 1)
1786                 (math-zerop m2)
1787                 (memq (nth 1 a) '(0 2)))
1788            (math-make-intv (nth 1 a) m1 b))
1789           (t
1790            (math-make-intv 2 0 b)))))
1791
1792
1793 (defun math-read-angle-brackets ()
1794   (let* ((last (or (math-check-for-commas t) (length exp-str)))
1795          (str (substring exp-str exp-pos last))
1796          (res
1797           (if (string-match "\\` *\\([a-zA-Z#][a-zA-Z0-9#]* *,? *\\)*:" str)
1798               (let ((str1 (substring str 0 (1- (match-end 0))))
1799                     (str2 (substring str (match-end 0)))
1800                     (calc-hashes-used 0))
1801                 (setq str1 (math-read-expr (concat "[" str1 "]")))
1802                 (if (eq (car-safe str1) 'error)
1803                     str1
1804                   (setq str2 (math-read-expr str2))
1805                   (if (eq (car-safe str2) 'error)
1806                       str2
1807                     (append '(calcFunc-lambda) (cdr str1) (list str2)))))
1808             (if (string-match "#" str)
1809                 (let ((calc-hashes-used 0))
1810                   (and (setq str (math-read-expr str))
1811                        (if (eq (car-safe str) 'error)
1812                            str
1813                          (append '(calcFunc-lambda)
1814                                  (calc-invent-args calc-hashes-used)
1815                                  (list str)))))
1816               (math-parse-date str)))))
1817     (if (stringp res)
1818         (throw 'syntax res))
1819     (if (eq (car-safe res) 'error)
1820         (throw 'syntax (nth 2 res)))
1821     (setq exp-pos (1+ last))
1822     (math-read-token)
1823     res))
1824
1825 ;;; arch-tag: a3d8f33b-9508-4043-8060-d02b8c9c750c
1826 ;;; calc-forms.el ends here