code.delx.au - gnu-emacs/blob - lisp/calc/calc-forms.el

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