lisp/calendar/cal-hebrew.el

   1 ;;; cal-hebrew.el --- calendar functions for the Hebrew calendar.
   2
   3 ;; Copyright (C) 1995 Free Software Foundation, Inc.
   4
   5 ;; Author: Nachum Dershowitz <nachum@cs.uiuc.edu>
   6 ;;      Edward M. Reingold <reingold@cs.uiuc.edu>
   7 ;; Keywords: calendar
   8 ;; Human-Keywords: Hebrew calendar, calendar, diary
   9
  10 ;; This file is part of GNU Emacs.
  11
  12 ;; GNU Emacs is free software; you can redistribute it and/or modify
  13 ;; it under the terms of the GNU General Public License as published by
  14 ;; the Free Software Foundation; either version 2, or (at your option)
  15 ;; any later version.
  16
  17 ;; GNU Emacs is distributed in the hope that it will be useful,
  18 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  19 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  20 ;; GNU General Public License for more details.
  21
  22 ;; You should have received a copy of the GNU General Public License
  23 ;; along with GNU Emacs; see the file COPYING.  If not, write to the
  24 ;; Free Software Foundation, Inc., 59 Temple Place - Suite 330,
  25 ;; Boston, MA 02111-1307, USA.
  26
  27 ;;; Commentary:
  28
  29 ;; This collection of functions implements the features of calendar.el and
  30 ;; diary.el that deal with the Hebrew calendar.
  31
  32 ;; Comments, corrections, and improvements should be sent to
  33 ;;  Edward M. Reingold               Department of Computer Science
  34 ;;  (217) 333-6733                   University of Illinois at Urbana-Champaign
  35 ;;  reingold@cs.uiuc.edu             1304 West Springfield Avenue
  36 ;;                                   Urbana, Illinois 61801
  37
  38 ;;; Code:
  39
  40 (require 'calendar)
  41
  42 (defun calendar-hebrew-from-absolute (date)
  43   "Compute the Hebrew date (month day year) corresponding to absolute DATE.
  44 The absolute date is the number of days elapsed since the (imaginary)
  45 Gregorian date Sunday, December 31, 1 BC."
  46   (let* ((greg-date (calendar-gregorian-from-absolute date))
  47          (month (aref [9 10 11 12 1 2 3 4 7 7 7 8]
  48                  (1- (extract-calendar-month greg-date))))
  49          (day)
  50          (year (+ 3760 (extract-calendar-year greg-date))))
  51     (while (>= date (calendar-absolute-from-hebrew (list 7 1 (1+ year))))
  52         (setq year (1+ year)))
  53     (let ((length (hebrew-calendar-last-month-of-year year)))
  54       (while (> date
  55                 (calendar-absolute-from-hebrew
  56                  (list month
  57                        (hebrew-calendar-last-day-of-month month year)
  58                        year)))
  59         (setq month (1+ (% month length)))))
  60     (setq day (1+
  61                (- date (calendar-absolute-from-hebrew (list month 1 year)))))
  62     (list month day year)))
  63
  64 (defun hebrew-calendar-leap-year-p (year)
  65   "t if YEAR is a Hebrew calendar leap year."
  66   (< (% (1+ (* 7 year)) 19) 7))
  67
  68 (defun hebrew-calendar-last-month-of-year (year)
  69   "The last month of the Hebrew calendar YEAR."
  70   (if (hebrew-calendar-leap-year-p year)
  71       13
  72     12))
  73
  74 (defun hebrew-calendar-last-day-of-month (month year)
  75   "The last day of MONTH in YEAR."
  76   (if (or (memq month (list 2 4 6 10 13))
  77           (and (= month 12) (not (hebrew-calendar-leap-year-p year)))
  78           (and (= month 8) (not (hebrew-calendar-long-heshvan-p year)))
  79           (and (= month 9) (hebrew-calendar-short-kislev-p year)))
  80       29
  81     30))
  82
  83 (defun hebrew-calendar-elapsed-days (year)
  84   "Days from Sun. prior to start of Hebrew calendar to mean conjunction of Tishri of Hebrew YEAR."
  85   (let* ((months-elapsed
  86           (+ (* 235 (/ (1- year) 19));; Months in complete cycles so far.
  87              (* 12 (% (1- year) 19))      ;; Regular months in this cycle
  88              (/ (1+ (* 7 (% (1- year) 19))) 19)));; Leap months this cycle
  89          (parts-elapsed (+ 204 (* 793 (% months-elapsed 1080))))
  90          (hours-elapsed (+ 5
  91                            (* 12 months-elapsed)
  92                            (* 793 (/ months-elapsed 1080))
  93                            (/ parts-elapsed 1080)))
  94          (parts                                  ;; Conjunction parts
  95           (+ (* 1080 (% hours-elapsed 24)) (% parts-elapsed 1080)))
  96          (day                                    ;; Conjunction day
  97           (+ 1 (* 29 months-elapsed) (/ hours-elapsed 24)))
  98          (alternative-day
  99           (if (or (>= parts 19440)    ;; If the new moon is at or after midday,
 100                   (and (= (% day 7) 2);; ...or is on a Tuesday...
 101                        (>= parts 9924)  ;;    at 9 hours, 204 parts or later...
 102                        (not (hebrew-calendar-leap-year-p year)));; of a
 103                                                                 ;; common year,
 104                   (and (= (% day 7) 1);; ...or is on a Monday...
 105                        (>= parts 16789) ;;   at 15 hours, 589 parts or later...
 106                        (hebrew-calendar-leap-year-p (1- year))));; at the end
 107                                                      ;; of a leap year
 108        ;; Then postpone Rosh HaShanah one day
 109               (1+ day)
 110        ;; Else
 111             day)))
 112     (if ;; If Rosh HaShanah would occur on Sunday, Wednesday, or Friday
 113         (memq (% alternative-day 7) (list 0 3 5))
 114   ;; Then postpone it one (more) day and return
 115         (1+ alternative-day)
 116   ;; Else return
 117       alternative-day)))
 118
 119 (defun hebrew-calendar-days-in-year (year)
 120   "Number of days in Hebrew YEAR."
 121   (- (hebrew-calendar-elapsed-days (1+ year))
 122      (hebrew-calendar-elapsed-days year)))
 123
 124 (defun hebrew-calendar-long-heshvan-p (year)
 125   "t if Heshvan is long in Hebrew YEAR."
 126   (= (% (hebrew-calendar-days-in-year year) 10) 5))
 127
 128 (defun hebrew-calendar-short-kislev-p (year)
 129   "t if Kislev is short in Hebrew YEAR."
 130   (= (% (hebrew-calendar-days-in-year year) 10) 3))
 131
 132 (defun calendar-absolute-from-hebrew (date)
 133   "Absolute date of Hebrew DATE.
 134 The absolute date is the number of days elapsed since the (imaginary)
 135 Gregorian date Sunday, December 31, 1 BC."
 136   (let* ((month (extract-calendar-month date))
 137          (day (extract-calendar-day date))
 138          (year (extract-calendar-year date)))
 139     (+ day                            ;; Days so far this month.
 140        (if (< month 7);; before Tishri
 141      ;; Then add days in prior months this year before and after Nisan
 142            (+ (calendar-sum
 143                m 7 (<= m (hebrew-calendar-last-month-of-year year))
 144                (hebrew-calendar-last-day-of-month m year))
 145               (calendar-sum
 146                m 1 (< m month)
 147                (hebrew-calendar-last-day-of-month m year)))
 148      ;; Else add days in prior months this year
 149          (calendar-sum
 150           m 7 (< m month)
 151           (hebrew-calendar-last-day-of-month m year)))
 152     (hebrew-calendar-elapsed-days year);; Days in prior years.
 153     -1373429)))                        ;; Days elapsed before absolute date 1.
 154
 155 (defvar calendar-hebrew-month-name-array-common-year
 156   ["Nisan" "Iyar" "Sivan" "Tammuz" "Av" "Elul" "Tishri"
 157    "Heshvan" "Kislev" "Teveth" "Shevat" "Adar"])
 158
 159 (defvar calendar-hebrew-month-name-array-leap-year
 160   ["Nisan" "Iyar" "Sivan" "Tammuz" "Av" "Elul" "Tishri"
 161    "Heshvan" "Kislev" "Teveth" "Shevat" "Adar I" "Adar II"])
 162
 163 (defun calendar-hebrew-date-string (&optional date)
 164   "String of Hebrew date before sunset of Gregorian DATE.
 165 Defaults to today's date if DATE is not given.
 166 Driven by the variable `calendar-date-display-form'."
 167   (let* ((hebrew-date (calendar-hebrew-from-absolute
 168                        (calendar-absolute-from-gregorian
 169                         (or date (calendar-current-date)))))
 170          (calendar-month-name-array
 171           (if (hebrew-calendar-leap-year-p (extract-calendar-year hebrew-date))
 172               calendar-hebrew-month-name-array-leap-year
 173             calendar-hebrew-month-name-array-common-year)))
 174     (calendar-date-string hebrew-date nil t)))
 175
 176 (defun calendar-print-hebrew-date ()
 177   "Show the Hebrew calendar equivalent of the date under the cursor."
 178   (interactive)
 179   (message "Hebrew date (until sunset): %s"
 180            (calendar-hebrew-date-string (calendar-cursor-to-date t))))
 181
 182 (defun hebrew-calendar-yahrzeit (death-date year)
 183   "Absolute date of the anniversary of Hebrew DEATH-DATE in Hebrew YEAR."
 184   (let* ((death-day (extract-calendar-day death-date))
 185          (death-month (extract-calendar-month death-date))
 186          (death-year (extract-calendar-year death-date)))
 187     (cond
 188      ;; If it's Heshvan 30 it depends on the first anniversary; if
 189      ;; that was not Heshvan 30, use the day before Kislev 1.
 190      ((and (= death-month 8)
 191            (= death-day 30)
 192            (not (hebrew-calendar-long-heshvan-p (1+ death-year))))
 193       (1- (calendar-absolute-from-hebrew (list 9 1 year))))
 194      ;; If it's Kislev 30 it depends on the first anniversary; if
 195      ;; that was not Kislev 30, use the day before Teveth 1.
 196      ((and (= death-month 9)
 197            (= death-day 30)
 198            (hebrew-calendar-short-kislev-p (1+ death-year)))
 199       (1- (calendar-absolute-from-hebrew (list 10 1 year))))
 200      ;; If it's Adar II, use the same day in last month of
 201      ;; year (Adar or Adar II).
 202      ((= death-month 13)
 203       (calendar-absolute-from-hebrew
 204        (list (hebrew-calendar-last-month-of-year year) death-day year)))
 205      ;; If it's the 30th in Adar I and year is not a leap year
 206      ;; (so Adar has only 29 days), use the last day in Shevat.
 207      ((and (= death-day 30)
 208            (= death-month 12)
 209            (not (hebrew-calendar-leap-year-p year)))
 210       (calendar-absolute-from-hebrew (list 11 30 year)))
 211      ;; In all other cases, use the normal anniversary of the date of death.
 212      (t (calendar-absolute-from-hebrew
 213          (list death-month death-day year))))))
 214
 215 (defun calendar-goto-hebrew-date (date &optional noecho)
 216   "Move cursor to Hebrew DATE; echo Hebrew date unless NOECHO is t."
 217   (interactive
 218    (let* ((today (calendar-current-date))
 219           (year (calendar-read
 220                  "Hebrew calendar year (>3760): "
 221                  '(lambda (x) (> x 3760))
 222                  (int-to-string
 223                   (extract-calendar-year
 224                    (calendar-hebrew-from-absolute
 225                     (calendar-absolute-from-gregorian today))))))
 226           (month-array (if (hebrew-calendar-leap-year-p year)
 227                            calendar-hebrew-month-name-array-leap-year
 228                          calendar-hebrew-month-name-array-common-year))
 229           (completion-ignore-case t)
 230           (month (cdr (assoc
 231                        (capitalize
 232                         (completing-read
 233                          "Hebrew calendar month name: "
 234                          (mapcar 'list (append month-array nil))
 235                          (if (= year 3761)
 236                              '(lambda (x)
 237                                 (let ((m (cdr
 238                                           (assoc
 239                                            (car x)
 240                                            (calendar-make-alist
 241                                             month-array)))))
 242                                   (< 0
 243                                      (calendar-absolute-from-hebrew
 244                                       (list m
 245                                             (hebrew-calendar-last-day-of-month
 246                                              m year)
 247                                             year))))))
 248
 249                          t))
 250                        (calendar-make-alist month-array 1 'capitalize))))
 251           (last (hebrew-calendar-last-day-of-month month year))
 252           (first (if (and (= year 3761) (= month 10))
 253                      18 1))
 254           (day (calendar-read
 255                 (format "Hebrew calendar day (%d-%d): "
 256                         first last)
 257                 '(lambda (x) (and (<= first x) (<= x last))))))
 258      (list (list month day year))))
 259   (calendar-goto-date (calendar-gregorian-from-absolute
 260                        (calendar-absolute-from-hebrew date)))
 261   (or noecho (calendar-print-hebrew-date)))
 262
 263 (defun holiday-hebrew (month day string)
 264   "Holiday on MONTH, DAY (Hebrew) called STRING.
 265 If MONTH, DAY (Hebrew) is visible, the value returned is corresponding
 266 Gregorian date in the form of the list (((month day year) STRING)).  Returns
 267 nil if it is not visible in the current calendar window."
 268   (if (memq displayed-month;;  This test is only to speed things up a bit;
 269             (list          ;;  it works fine without the test too.
 270              (if (< 11 month) (- month 11) (+ month 1))
 271              (if (< 10 month) (- month 10) (+ month 2))
 272              (if (<  9 month) (- month  9) (+ month 3))
 273              (if (<  8 month) (- month  8) (+ month 4))
 274              (if (<  7 month) (- month  7) (+ month 5))))
 275       (let ((m1 displayed-month)
 276             (y1 displayed-year)
 277             (m2 displayed-month)
 278             (y2 displayed-year)
 279             (year))
 280         (increment-calendar-month m1 y1 -1)
 281         (increment-calendar-month m2 y2 1)
 282         (let* ((start-date (calendar-absolute-from-gregorian
 283                             (list m1 1 y1)))
 284                (end-date (calendar-absolute-from-gregorian
 285                           (list m2 (calendar-last-day-of-month m2 y2) y2)))
 286                (hebrew-start (calendar-hebrew-from-absolute start-date))
 287                (hebrew-end (calendar-hebrew-from-absolute end-date))
 288                (hebrew-y1 (extract-calendar-year hebrew-start))
 289                (hebrew-y2 (extract-calendar-year hebrew-end)))
 290           (setq year (if (< 6 month) hebrew-y2 hebrew-y1))
 291           (let ((date (calendar-gregorian-from-absolute
 292                        (calendar-absolute-from-hebrew
 293                         (list month day year)))))
 294             (if (calendar-date-is-visible-p date)
 295                 (list (list date string))))))))
 296
 297 (defun holiday-rosh-hashanah-etc ()
 298   "List of dates related to Rosh Hashanah, as visible in calendar window."
 299   (if (or (< displayed-month 8)
 300           (> displayed-month 11))
 301       nil;; None of the dates is visible
 302     (let* ((abs-r-h (calendar-absolute-from-hebrew
 303                       (list 7 1 (+ displayed-year 3761))))
 304             (mandatory
 305              (list
 306               (list (calendar-gregorian-from-absolute abs-r-h)
 307                     (format "Rosh HaShanah %d" (+ 3761 displayed-year)))
 308               (list (calendar-gregorian-from-absolute (+ abs-r-h 9))
 309                     "Yom Kippur")
 310               (list (calendar-gregorian-from-absolute (+ abs-r-h 14))
 311                     "Sukkot")
 312               (list (calendar-gregorian-from-absolute (+ abs-r-h 21))
 313                     "Shemini Atzeret")
 314               (list (calendar-gregorian-from-absolute (+ abs-r-h 22))
 315                     "Simchat Torah")))
 316            (optional
 317             (list
 318              (list (calendar-gregorian-from-absolute
 319                     (calendar-dayname-on-or-before 6 (- abs-r-h 4)))
 320                    "Selichot (night)")
 321              (list (calendar-gregorian-from-absolute (1- abs-r-h))
 322                    "Erev Rosh HaShanah")
 323              (list (calendar-gregorian-from-absolute (1+ abs-r-h))
 324                    "Rosh HaShanah (second day)")
 325              (list (calendar-gregorian-from-absolute
 326                     (if (= (% abs-r-h 7) 4) (+ abs-r-h 3) (+ abs-r-h 2)))
 327                    "Tzom Gedaliah")
 328              (list (calendar-gregorian-from-absolute
 329                     (calendar-dayname-on-or-before 6 (+ 7 abs-r-h)))
 330                    "Shabbat Shuvah")
 331              (list (calendar-gregorian-from-absolute (+ abs-r-h 8))
 332                    "Erev Yom Kippur")
 333              (list (calendar-gregorian-from-absolute (+ abs-r-h 13))
 334                    "Erev Sukkot")
 335              (list (calendar-gregorian-from-absolute (+ abs-r-h 15))
 336                    "Sukkot (second day)")
 337              (list (calendar-gregorian-from-absolute (+ abs-r-h 16))
 338                    "Hol Hamoed Sukkot (first day)")
 339              (list (calendar-gregorian-from-absolute (+ abs-r-h 17))
 340                    "Hol Hamoed Sukkot (second day)")
 341              (list (calendar-gregorian-from-absolute (+ abs-r-h 18))
 342                    "Hol Hamoed Sukkot (third day)")
 343              (list (calendar-gregorian-from-absolute (+ abs-r-h 19))
 344                    "Hol Hamoed Sukkot (fourth day)")
 345              (list (calendar-gregorian-from-absolute (+ abs-r-h 20))
 346                    "Hoshannah Rabbah")))
 347             (output-list
 348              (filter-visible-calendar-holidays mandatory)))
 349       (if all-hebrew-calendar-holidays
 350           (setq output-list
 351                 (append
 352                  (filter-visible-calendar-holidays optional)
 353                  output-list)))
 354       output-list)))
 355
 356 (defun holiday-hanukkah ()
 357   "List of dates related to Hanukkah, as visible in calendar window."
 358     (if (memq displayed-month;;  This test is only to speed things up a bit;
 359               '(10 11 12 1 2));; it works fine without the test too.
 360         (let ((m displayed-month)
 361               (y displayed-year))
 362           (increment-calendar-month m y 1)
 363           (let* ((h-y (extract-calendar-year
 364                          (calendar-hebrew-from-absolute
 365                           (calendar-absolute-from-gregorian
 366                            (list m (calendar-last-day-of-month m y) y)))))
 367                  (abs-h (calendar-absolute-from-hebrew (list 9 25 h-y))))
 368             (filter-visible-calendar-holidays
 369              (list
 370               (list (calendar-gregorian-from-absolute (1- abs-h))
 371                     "Erev Hanukkah")
 372               (list (calendar-gregorian-from-absolute abs-h)
 373                     "Hanukkah (first day)")
 374               (list (calendar-gregorian-from-absolute (1+ abs-h))
 375                     "Hanukkah (second day)")
 376               (list (calendar-gregorian-from-absolute (+ abs-h 2))
 377                     "Hanukkah (third day)")
 378               (list (calendar-gregorian-from-absolute (+ abs-h 3))
 379                     "Hanukkah (fourth day)")
 380               (list (calendar-gregorian-from-absolute (+ abs-h 4))
 381                     "Hanukkah (fifth day)")
 382               (list (calendar-gregorian-from-absolute (+ abs-h 5))
 383                     "Hanukkah (sixth day)")
 384               (list (calendar-gregorian-from-absolute (+ abs-h 6))
 385                     "Hanukkah (seventh day)")
 386               (list (calendar-gregorian-from-absolute (+ abs-h 7))
 387                     "Hanukkah (eighth day)")))))))
 388
 389 (defun holiday-passover-etc ()
 390   "List of dates related to Passover, as visible in calendar window."
 391  (if (< 7 displayed-month)
 392       nil;; None of the dates is visible
 393     (let* ((abs-p (calendar-absolute-from-hebrew
 394                       (list 1 15 (+ displayed-year 3760))))
 395            (mandatory
 396             (list
 397              (list (calendar-gregorian-from-absolute abs-p)
 398                    "Passover")
 399              (list (calendar-gregorian-from-absolute (+ abs-p 50))
 400                    "Shavuot")))
 401            (optional
 402             (list
 403              (list (calendar-gregorian-from-absolute
 404                     (calendar-dayname-on-or-before 6 (- abs-p 43)))
 405                    "Shabbat Shekalim")
 406              (list (calendar-gregorian-from-absolute
 407                     (calendar-dayname-on-or-before 6 (- abs-p 30)))
 408                    "Shabbat Zachor")
 409              (list (calendar-gregorian-from-absolute
 410                     (if (= (% abs-p 7) 2) (- abs-p 33) (- abs-p 31)))
 411                    "Fast of Esther")
 412              (list (calendar-gregorian-from-absolute (- abs-p 31))
 413                    "Erev Purim")
 414              (list (calendar-gregorian-from-absolute (- abs-p 30))
 415                    "Purim")
 416              (list (calendar-gregorian-from-absolute
 417                     (if (zerop (% abs-p 7)) (- abs-p 28) (- abs-p 29)))
 418                    "Shushan Purim")
 419              (list (calendar-gregorian-from-absolute
 420                     (- (calendar-dayname-on-or-before 6 (- abs-p 14)) 7))
 421                    "Shabbat Parah")
 422              (list (calendar-gregorian-from-absolute
 423                     (calendar-dayname-on-or-before 6 (- abs-p 14)))
 424                    "Shabbat HaHodesh")
 425              (list (calendar-gregorian-from-absolute
 426                     (calendar-dayname-on-or-before 6 (1- abs-p)))
 427                    "Shabbat HaGadol")
 428              (list (calendar-gregorian-from-absolute (1- abs-p))
 429                    "Erev Passover")
 430              (list (calendar-gregorian-from-absolute (1+ abs-p))
 431                    "Passover (second day)")
 432              (list (calendar-gregorian-from-absolute (+ abs-p 2))
 433                    "Hol Hamoed Passover (first day)")
 434              (list (calendar-gregorian-from-absolute (+ abs-p 3))
 435                    "Hol Hamoed Passover (second day)")
 436              (list (calendar-gregorian-from-absolute (+ abs-p 4))
 437                    "Hol Hamoed Passover (third day)")
 438              (list (calendar-gregorian-from-absolute (+ abs-p 5))
 439                    "Hol Hamoed Passover (fourth day)")
 440              (list (calendar-gregorian-from-absolute (+ abs-p 6))
 441                    "Passover (seventh day)")
 442              (list (calendar-gregorian-from-absolute (+ abs-p 7))
 443                    "Passover (eighth day)")
 444              (list (calendar-gregorian-from-absolute
 445                     (if (zerop (% (+ abs-p 12) 7))
 446                         (+ abs-p 13)
 447                       (+ abs-p 12)))
 448                    "Yom HaShoah")
 449              (list (calendar-gregorian-from-absolute
 450                     (if (zerop (% abs-p 7))
 451                         (+ abs-p 18)
 452                       (if (= (% abs-p 7) 6)
 453                           (+ abs-p 19)
 454                         (+ abs-p 20))))
 455                    "Yom HaAtzma'ut")
 456              (list (calendar-gregorian-from-absolute (+ abs-p 33))
 457                    "Lag BaOmer")
 458              (list (calendar-gregorian-from-absolute (+ abs-p 43))
 459                    "Yom Yerushalim")
 460              (list (calendar-gregorian-from-absolute (+ abs-p 49))
 461                    "Erev Shavuot")
 462              (list (calendar-gregorian-from-absolute (+ abs-p 51))
 463                    "Shavuot (second day)")))
 464            (output-list
 465              (filter-visible-calendar-holidays mandatory)))
 466       (if all-hebrew-calendar-holidays
 467           (setq output-list
 468                 (append
 469                  (filter-visible-calendar-holidays optional)
 470                  output-list)))
 471       output-list)))
 472
 473 (defun holiday-tisha-b-av-etc ()
 474   "List of dates around Tisha B'Av, as visible in calendar window."
 475   (if (or (< displayed-month 5)
 476           (> displayed-month 9))
 477       nil;; None of the dates is visible
 478     (let* ((abs-t-a (calendar-absolute-from-hebrew
 479                       (list 5 9 (+ displayed-year 3760)))))
 480
 481       (filter-visible-calendar-holidays
 482        (list
 483         (list (calendar-gregorian-from-absolute
 484                (if (= (% abs-t-a 7) 6) (- abs-t-a 20) (- abs-t-a 21)))
 485               "Tzom Tammuz")
 486         (list (calendar-gregorian-from-absolute
 487                (calendar-dayname-on-or-before 6 abs-t-a))
 488               "Shabbat Hazon")
 489         (list (calendar-gregorian-from-absolute
 490                (if (= (% abs-t-a 7) 6) (1+ abs-t-a) abs-t-a))
 491               "Tisha B'Av")
 492         (list (calendar-gregorian-from-absolute
 493                (calendar-dayname-on-or-before 6 (+ abs-t-a 7)))
 494               "Shabbat Nahamu"))))))
 495
 496 (defun list-hebrew-diary-entries ()
 497   "Add any Hebrew date entries from the diary file to `diary-entries-list'.
 498 Hebrew date diary entries must be prefaced by `hebrew-diary-entry-symbol'
 499 \(normally an `H').  The same diary date forms govern the style of the Hebrew
 500 calendar entries, except that the Hebrew month names must be spelled in full.
 501 The Hebrew months are numbered from 1 to 13 with Nisan being 1, 12 being
 502 Adar I and 13 being Adar II; you must use `Adar I' if you want Adar of a
 503 common Hebrew year.  If a Hebrew date diary entry begins with a
 504 `diary-nonmarking-symbol', the entry will appear in the diary listing, but will
 505 not be marked in the calendar.  This function is provided for use with the
 506 `nongregorian-diary-listing-hook'."
 507   (if (< 0 number)
 508       (let ((buffer-read-only nil)
 509             (diary-modified (buffer-modified-p))
 510             (gdate original-date)
 511             (mark (regexp-quote diary-nonmarking-symbol)))
 512         (calendar-for-loop i from 1 to number do
 513            (let* ((d diary-date-forms)
 514                   (hdate (calendar-hebrew-from-absolute
 515                           (calendar-absolute-from-gregorian gdate)))
 516                   (month (extract-calendar-month hdate))
 517                   (day (extract-calendar-day hdate))
 518                   (year (extract-calendar-year hdate)))
 519              (while d
 520                (let*
 521                    ((date-form (if (equal (car (car d)) 'backup)
 522                                    (cdr (car d))
 523                                  (car d)))
 524                     (backup (equal (car (car d)) 'backup))
 525                     (dayname
 526                      (concat
 527                       (calendar-day-name gdate) "\\|"
 528                       (substring (calendar-day-name gdate) 0 3) ".?"))
 529                     (calendar-month-name-array
 530                      calendar-hebrew-month-name-array-leap-year)
 531                     (monthname
 532                      (concat
 533                       "\\*\\|"
 534                       (calendar-month-name month)))
 535                     (month (concat "\\*\\|0*" (int-to-string month)))
 536                     (day (concat "\\*\\|0*" (int-to-string day)))
 537                     (year
 538                      (concat
 539                       "\\*\\|0*" (int-to-string year)
 540                       (if abbreviated-calendar-year
 541                           (concat "\\|" (int-to-string (% year 100)))
 542                         "")))
 543                     (regexp
 544                      (concat
 545                       "\\(\\`\\|\^M\\|\n\\)" mark "?"
 546                       (regexp-quote hebrew-diary-entry-symbol)
 547                       "\\("
 548                       (mapconcat 'eval date-form "\\)\\(")
 549                       "\\)"))
 550                     (case-fold-search t))
 551                  (goto-char (point-min))
 552                  (while (re-search-forward regexp nil t)
 553                    (if backup (re-search-backward "\\<" nil t))
 554                    (if (and (or (char-equal (preceding-char) ?\^M)
 555                                 (char-equal (preceding-char) ?\n))
 556                             (not (looking-at " \\|\^I")))
 557                        ;;  Diary entry that consists only of date.
 558                        (backward-char 1)
 559                      ;;  Found a nonempty diary entry--make it visible and
 560                      ;;  add it to the list.
 561                      (let ((entry-start (point))
 562                            (date-start))
 563                        (re-search-backward "\^M\\|\n\\|\\`")
 564                        (setq date-start (point))
 565                        (re-search-forward "\^M\\|\n" nil t 2)
 566                        (while (looking-at " \\|\^I")
 567                          (re-search-forward "\^M\\|\n" nil t))
 568                        (backward-char 1)
 569                        (subst-char-in-region date-start (point) ?\^M ?\n t)
 570                        (add-to-diary-list
 571                          gdate (buffer-substring entry-start (point)))))))
 572                (setq d (cdr d))))
 573            (setq gdate
 574                  (calendar-gregorian-from-absolute
 575                   (1+ (calendar-absolute-from-gregorian gdate)))))
 576            (set-buffer-modified-p diary-modified))
 577         (goto-char (point-min))))
 578
 579 (defun mark-hebrew-diary-entries ()
 580   "Mark days in the calendar window that have Hebrew date diary entries.
 581 Each entry in diary-file (or included files) visible in the calendar window
 582 is marked.  Hebrew date entries are prefaced by a hebrew-diary-entry-symbol
 583 \(normally an `H').  The same diary-date-forms govern the style of the Hebrew
 584 calendar entries, except that the Hebrew month names must be spelled in full.
 585 The Hebrew months are numbered from 1 to 13 with Nisan being 1, 12 being
 586 Adar I and 13 being Adar II; you must use `Adar I' if you want Adar of a
 587 common Hebrew year.  Hebrew date diary entries that begin with a
 588 diary-nonmarking symbol will not be marked in the calendar.  This function
 589 is provided for use as part of the nongregorian-diary-marking-hook."
 590   (let ((d diary-date-forms))
 591     (while d
 592       (let*
 593           ((date-form (if (equal (car (car d)) 'backup)
 594                           (cdr (car d))
 595                         (car d)));; ignore 'backup directive
 596            (dayname (diary-name-pattern calendar-day-name-array))
 597            (monthname
 598             (concat
 599              (diary-name-pattern calendar-hebrew-month-name-array-leap-year t)
 600              "\\|\\*"))
 601            (month "[0-9]+\\|\\*")
 602            (day "[0-9]+\\|\\*")
 603            (year "[0-9]+\\|\\*")
 604            (l (length date-form))
 605            (d-name-pos (- l (length (memq 'dayname date-form))))
 606            (d-name-pos (if (/= l d-name-pos) (+ 2 d-name-pos)))
 607            (m-name-pos (- l (length (memq 'monthname date-form))))
 608            (m-name-pos (if (/= l m-name-pos) (+ 2 m-name-pos)))
 609            (d-pos (- l (length (memq 'day date-form))))
 610            (d-pos (if (/= l d-pos) (+ 2 d-pos)))
 611            (m-pos (- l (length (memq 'month date-form))))
 612            (m-pos (if (/= l m-pos) (+ 2 m-pos)))
 613            (y-pos (- l (length (memq 'year date-form))))
 614            (y-pos (if (/= l y-pos) (+ 2 y-pos)))
 615            (regexp
 616             (concat
 617              "\\(\\`\\|\^M\\|\n\\)"
 618              (regexp-quote hebrew-diary-entry-symbol)
 619              "\\("
 620              (mapconcat 'eval date-form "\\)\\(")
 621              "\\)"))
 622            (case-fold-search t))
 623         (goto-char (point-min))
 624         (while (re-search-forward regexp nil t)
 625           (let* ((dd-name
 626                   (if d-name-pos
 627                       (buffer-substring
 628                        (match-beginning d-name-pos)
 629                        (match-end d-name-pos))))
 630                  (mm-name
 631                   (if m-name-pos
 632                       (buffer-substring
 633                        (match-beginning m-name-pos)
 634                        (match-end m-name-pos))))
 635                  (mm (string-to-int
 636                       (if m-pos
 637                           (buffer-substring
 638                            (match-beginning m-pos)
 639                            (match-end m-pos))
 640                         "")))
 641                  (dd (string-to-int
 642                       (if d-pos
 643                           (buffer-substring
 644                            (match-beginning d-pos)
 645                            (match-end d-pos))
 646                         "")))
 647                  (y-str (if y-pos
 648                             (buffer-substring
 649                              (match-beginning y-pos)
 650                              (match-end y-pos))))
 651                  (yy (if (not y-str)
 652                          0
 653                        (if (and (= (length y-str) 2)
 654                                 abbreviated-calendar-year)
 655                            (let* ((current-y
 656                                    (extract-calendar-year
 657                                     (calendar-hebrew-from-absolute
 658                                      (calendar-absolute-from-gregorian
 659                                       (calendar-current-date)))))
 660                                   (y (+ (string-to-int y-str)
 661                                         (* 100 (/ current-y 100)))))
 662                              (if (> (- y current-y) 50)
 663                                  (- y 100)
 664                                (if (> (- current-y y) 50)
 665                                    (+ y 100)
 666                                  y)))
 667                          (string-to-int y-str)))))
 668             (if dd-name
 669                 (mark-calendar-days-named
 670                  (cdr (assoc (capitalize (substring dd-name 0 3))
 671                              (calendar-make-alist
 672                                calendar-day-name-array
 673                                0
 674                               '(lambda (x) (substring x 0 3))))))
 675               (if mm-name
 676                   (if (string-equal mm-name "*")
 677                       (setq mm 0)
 678                     (setq
 679                       mm
 680                       (cdr
 681                         (assoc
 682                           (capitalize mm-name)
 683                             (calendar-make-alist
 684                                calendar-hebrew-month-name-array-leap-year))))))
 685               (mark-hebrew-calendar-date-pattern mm dd yy)))))
 686       (setq d (cdr d)))))
 687
 688 (defun mark-hebrew-calendar-date-pattern (month day year)
 689   "Mark dates in calendar window that conform to Hebrew date MONTH/DAY/YEAR.
 690 A value of 0 in any position is a wildcard."
 691   (save-excursion
 692     (set-buffer calendar-buffer)
 693     (if (and (/= 0 month) (/= 0 day))
 694         (if (/= 0 year)
 695             ;; Fully specified Hebrew date.
 696             (let ((date (calendar-gregorian-from-absolute
 697                          (calendar-absolute-from-hebrew
 698                           (list month day year)))))
 699               (if (calendar-date-is-visible-p date)
 700                   (mark-visible-calendar-date date)))
 701           ;; Month and day in any year--this taken from the holiday stuff.
 702           (if (memq displayed-month;;  This test is only to speed things up a
 703                     (list          ;;  bit; it works fine without the test too.
 704                      (if (< 11 month) (- month 11) (+ month 1))
 705                      (if (< 10 month) (- month 10) (+ month 2))
 706                      (if (<  9 month) (- month  9) (+ month 3))
 707                      (if (<  8 month) (- month  8) (+ month 4))
 708                      (if (<  7 month) (- month  7) (+ month 5))))
 709               (let ((m1 displayed-month)
 710                     (y1 displayed-year)
 711                     (m2 displayed-month)
 712                     (y2 displayed-year)
 713                     (year))
 714                 (increment-calendar-month m1 y1 -1)
 715                 (increment-calendar-month m2 y2 1)
 716                 (let* ((start-date (calendar-absolute-from-gregorian
 717                                     (list m1 1 y1)))
 718                        (end-date (calendar-absolute-from-gregorian
 719                                   (list m2
 720                                         (calendar-last-day-of-month m2 y2)
 721                                         y2)))
 722                        (hebrew-start
 723                         (calendar-hebrew-from-absolute start-date))
 724                        (hebrew-end (calendar-hebrew-from-absolute end-date))
 725                        (hebrew-y1 (extract-calendar-year hebrew-start))
 726                        (hebrew-y2 (extract-calendar-year hebrew-end)))
 727                   (setq year (if (< 6 month) hebrew-y2 hebrew-y1))
 728                   (let ((date (calendar-gregorian-from-absolute
 729                                (calendar-absolute-from-hebrew
 730                                 (list month day year)))))
 731                     (if (calendar-date-is-visible-p date)
 732                         (mark-visible-calendar-date date)))))))
 733       ;; Not one of the simple cases--check all visible dates for match.
 734       ;; Actually, the following code takes care of ALL of the cases, but
 735       ;; it's much too slow to be used for the simple (common) cases.
 736       (let ((m displayed-month)
 737             (y displayed-year)
 738             (first-date)
 739             (last-date))
 740         (increment-calendar-month m y -1)
 741         (setq first-date
 742               (calendar-absolute-from-gregorian
 743                (list m 1 y)))
 744         (increment-calendar-month m y 2)
 745         (setq last-date
 746               (calendar-absolute-from-gregorian
 747                (list m (calendar-last-day-of-month m y) y)))
 748         (calendar-for-loop date from first-date to last-date do
 749           (let* ((h-date (calendar-hebrew-from-absolute date))
 750                  (h-month (extract-calendar-month h-date))
 751                  (h-day (extract-calendar-day h-date))
 752                  (h-year (extract-calendar-year h-date)))
 753             (and (or (zerop month)
 754                      (= month h-month))
 755                  (or (zerop day)
 756                      (= day h-day))
 757                  (or (zerop year)
 758                      (= year h-year))
 759                  (mark-visible-calendar-date
 760                   (calendar-gregorian-from-absolute date)))))))))
 761
 762 (defun insert-hebrew-diary-entry (arg)
 763   "Insert a diary entry.
 764 For the Hebrew date corresponding to the date indicated by point.
 765 Prefix arg will make the entry nonmarking."
 766   (interactive "P")
 767   (let* ((calendar-month-name-array
 768           calendar-hebrew-month-name-array-leap-year))
 769     (make-diary-entry
 770      (concat
 771       hebrew-diary-entry-symbol
 772       (calendar-date-string
 773        (calendar-hebrew-from-absolute
 774         (calendar-absolute-from-gregorian
 775          (calendar-cursor-to-date t)))
 776        nil t))
 777      arg)))
 778
 779 (defun insert-monthly-hebrew-diary-entry (arg)
 780   "Insert a monthly diary entry.
 781 For the day of the Hebrew month corresponding to the date indicated by point.
 782 Prefix arg will make the entry nonmarking."
 783   (interactive "P")
 784   (let* ((calendar-date-display-form
 785           (if european-calendar-style '(day " * ") '("* " day )))
 786          (calendar-month-name-array
 787           calendar-hebrew-month-name-array-leap-year))
 788     (make-diary-entry
 789      (concat
 790       hebrew-diary-entry-symbol
 791       (calendar-date-string
 792        (calendar-hebrew-from-absolute
 793         (calendar-absolute-from-gregorian
 794          (calendar-cursor-to-date t)))))
 795      arg)))
 796
 797 (defun insert-yearly-hebrew-diary-entry (arg)
 798   "Insert an annual diary entry.
 799 For the day of the Hebrew year corresponding to the date indicated by point.
 800 Prefix arg will make the entry nonmarking."
 801   (interactive "P")
 802   (let* ((calendar-date-display-form
 803           (if european-calendar-style
 804               '(day " " monthname)
 805             '(monthname " " day)))
 806          (calendar-month-name-array
 807           calendar-hebrew-month-name-array-leap-year))
 808     (make-diary-entry
 809      (concat
 810       hebrew-diary-entry-symbol
 811       (calendar-date-string
 812        (calendar-hebrew-from-absolute
 813         (calendar-absolute-from-gregorian
 814          (calendar-cursor-to-date t)))))
 815      arg)))
 816
 817 ;;;###autoload
 818 (defun list-yahrzeit-dates (death-date start-year end-year)
 819   "List Yahrzeit dates for *Gregorian* DEATH-DATE from START-YEAR to END-YEAR.
 820 When called interactively from the calendar window, the date of death is taken
 821 from the cursor position."
 822   (interactive
 823    (let* ((death-date
 824            (if (equal (current-buffer) (get-buffer calendar-buffer))
 825                (calendar-cursor-to-date)
 826              (let* ((today (calendar-current-date))
 827                     (year (calendar-read
 828                            "Year of death (>0): "
 829                            '(lambda (x) (> x 0))
 830                            (int-to-string (extract-calendar-year today))))
 831                     (month-array calendar-month-name-array)
 832                     (completion-ignore-case t)
 833                     (month (cdr (assoc
 834                                  (capitalize
 835                                   (completing-read
 836                                    "Month of death (name): "
 837                                    (mapcar 'list (append month-array nil))
 838                                    nil t))
 839                                  (calendar-make-alist
 840                                   month-array 1 'capitalize))))
 841                     (last (calendar-last-day-of-month month year))
 842                     (day (calendar-read
 843                           (format "Day of death (1-%d): " last)
 844                           '(lambda (x) (and (< 0 x) (<= x last))))))
 845                (list month day year))))
 846           (death-year (extract-calendar-year death-date))
 847           (start-year (calendar-read
 848                        (format "Starting year of Yahrzeit table (>%d): "
 849                                death-year)
 850                        '(lambda (x) (> x death-year))
 851                        (int-to-string (1+ death-year))))
 852           (end-year (calendar-read
 853                      (format "Ending year of Yahrzeit table (>=%d): "
 854                              start-year)
 855                        '(lambda (x) (>= x start-year)))))
 856    (list death-date start-year end-year)))
 857   (message "Computing yahrzeits...")
 858   (let* ((yahrzeit-buffer "*Yahrzeits*")
 859          (h-date (calendar-hebrew-from-absolute
 860                   (calendar-absolute-from-gregorian death-date)))
 861          (h-month (extract-calendar-month h-date))
 862          (h-day (extract-calendar-day h-date))
 863          (h-year (extract-calendar-year h-date)))
 864     (set-buffer (get-buffer-create yahrzeit-buffer))
 865     (setq buffer-read-only nil)
 866     (calendar-set-mode-line
 867      (format "Yahrzeit dates for %s = %s"
 868              (calendar-date-string death-date)
 869              (let ((calendar-month-name-array
 870                     (if (hebrew-calendar-leap-year-p h-year)
 871                         calendar-hebrew-month-name-array-leap-year
 872                       calendar-hebrew-month-name-array-common-year)))
 873                (calendar-date-string h-date nil t))))
 874     (erase-buffer)
 875     (goto-char (point-min))
 876     (calendar-for-loop i from start-year to end-year do
 877         (insert
 878          (calendar-date-string
 879           (calendar-gregorian-from-absolute
 880            (hebrew-calendar-yahrzeit
 881             h-date
 882             (extract-calendar-year
 883              (calendar-hebrew-from-absolute
 884               (calendar-absolute-from-gregorian (list 1 1 i))))))) "\n"))
 885     (goto-char (point-min))
 886     (set-buffer-modified-p nil)
 887     (setq buffer-read-only t)
 888     (display-buffer yahrzeit-buffer)
 889     (message "Computing yahrzeits...done")))
 890
 891 (defun diary-hebrew-date ()
 892   "Hebrew calendar equivalent of date diary entry."
 893   (format "Hebrew date (until sunset): %s" (calendar-hebrew-date-string date)))
 894
 895 (defun diary-omer ()
 896   "Omer count diary entry.
 897 Entry applies if date is within 50 days after Passover."
 898   (let* ((passover
 899           (calendar-absolute-from-hebrew
 900            (list 1 15 (+ (extract-calendar-year date) 3760))))
 901          (omer (- (calendar-absolute-from-gregorian date) passover))
 902          (week (/ omer 7))
 903          (day (% omer 7)))
 904     (if (and (> omer 0) (< omer 50))
 905         (format "Day %d%s of the omer (until sunset)"
 906                 omer
 907                 (if (zerop week)
 908                     ""
 909                   (format ", that is, %d week%s%s"
 910                           week
 911                           (if (= week 1) "" "s")
 912                           (if (zerop day)
 913                               ""
 914                             (format " and %d day%s"
 915                                     day (if (= day 1) "" "s")))))))))
 916
 917 (defun diary-yahrzeit (death-month death-day death-year)
 918   "Yahrzeit diary entry--entry applies if date is yahrzeit or the day before.
 919 Parameters are DEATH-MONTH, DEATH-DAY, DEATH-YEAR; the diary entry is assumed
 920 to be the name of the person.  Date of death is on the *civil* calendar;
 921 although the date of death is specified by the civil calendar, the proper
 922 Hebrew calendar yahrzeit is determined.  If `european-calendar-style' is t, the
 923 order of the parameters is changed to DEATH-DAY, DEATH-MONTH, DEATH-YEAR."
 924   (let* ((h-date (calendar-hebrew-from-absolute
 925                   (calendar-absolute-from-gregorian
 926                    (if european-calendar-style
 927                        (list death-day death-month death-year)
 928                    (list death-month death-day death-year)))))
 929          (h-month (extract-calendar-month h-date))
 930          (h-day (extract-calendar-day h-date))
 931          (h-year (extract-calendar-year h-date))
 932          (d (calendar-absolute-from-gregorian date))
 933          (yr (extract-calendar-year (calendar-hebrew-from-absolute d)))
 934          (diff (- yr h-year))
 935          (y (hebrew-calendar-yahrzeit h-date yr)))
 936     (if (and (> diff 0) (or (= y d) (= y (1+ d))))
 937         (format "Yahrzeit of %s%s: %d%s anniversary"
 938                 entry
 939                 (if (= y d) "" " (evening)")
 940                 diff
 941                 (cond ((= (% diff 10) 1) "st")
 942                       ((= (% diff 10) 2) "nd")
 943                       ((= (% diff 10) 3) "rd")
 944                       (t "th"))))))
 945
 946 (defun diary-rosh-hodesh ()
 947   "Rosh Hodesh diary entry.
 948 Entry applies if date is Rosh Hodesh, the day before, or the Saturday before."
 949   (let* ((d (calendar-absolute-from-gregorian date))
 950          (h-date (calendar-hebrew-from-absolute d))
 951          (h-month (extract-calendar-month h-date))
 952          (h-day (extract-calendar-day h-date))
 953          (h-year (extract-calendar-year h-date))
 954          (leap-year (hebrew-calendar-leap-year-p h-year))
 955          (last-day (hebrew-calendar-last-day-of-month h-month h-year))
 956          (h-month-names
 957           (if leap-year
 958               calendar-hebrew-month-name-array-leap-year
 959             calendar-hebrew-month-name-array-common-year))
 960          (this-month (aref h-month-names (1- h-month)))
 961          (h-yesterday (extract-calendar-day
 962                        (calendar-hebrew-from-absolute (1- d)))))
 963     (if (or (= h-day 30) (and (= h-day 1) (/= h-month 7)))
 964         (format
 965          "Rosh Hodesh %s"
 966          (if (= h-day 30)
 967              (format
 968               "%s (first day)"
 969               ;; next month must be in the same year since this
 970               ;; month can't be the last month of the year since
 971               ;; it has 30 days
 972               (aref h-month-names h-month))
 973            (if (= h-yesterday 30)
 974                (format "%s (second day)" this-month)
 975              this-month)))
 976       (if (= (% d 7) 6);; Saturday--check for Shabbat Mevarhim
 977           (cond ((and (> h-day 22) (/= h-month 6) (= 29 last-day))
 978                  (format "Mevarhim Rosh Hodesh %s (%s)"
 979                          (aref h-month-names
 980                                (if (= h-month
 981                                       (hebrew-calendar-last-month-of-year
 982                                        h-year))
 983                                    0 h-month))
 984                          (aref calendar-day-name-array (- 29 h-day))))
 985                 ((and (< h-day 30) (> h-day 22) (= 30 last-day))
 986                  (format "Mevarhim Rosh Hodesh %s (%s-%s)"
 987                          (aref h-month-names h-month)
 988                          (if (= h-day 29)
 989                              "tomorrow"
 990                            (aref calendar-day-name-array (- 29 h-day)))
 991                          (aref calendar-day-name-array
 992                                (% (- 30 h-day) 7)))))
 993         (if (and (= h-day 29) (/= h-month 6))
 994             (format "Erev Rosh Hodesh %s"
 995                     (aref h-month-names
 996                           (if (= h-month
 997                                  (hebrew-calendar-last-month-of-year
 998                                   h-year))
 999                               0 h-month))))))))
1000
1001 (defun diary-parasha ()
1002   "Parasha diary entry--entry applies if date is a Saturday."
1003   (let ((d (calendar-absolute-from-gregorian date)))
1004     (if (= (% d 7) 6);;  Saturday
1005         (let*
1006             ((h-year (extract-calendar-year
1007                       (calendar-hebrew-from-absolute d)))
1008              (rosh-hashanah
1009               (calendar-absolute-from-hebrew (list 7 1 h-year)))
1010              (passover
1011               (calendar-absolute-from-hebrew (list 1 15 h-year)))
1012              (rosh-hashanah-day
1013               (aref calendar-day-name-array (% rosh-hashanah 7)))
1014              (passover-day
1015               (aref calendar-day-name-array (% passover 7)))
1016              (long-h (hebrew-calendar-long-heshvan-p h-year))
1017              (short-k (hebrew-calendar-short-kislev-p h-year))
1018              (type (cond ((and long-h (not short-k)) "complete")
1019                          ((and (not long-h) short-k) "incomplete")
1020                          (t "regular")))
1021              (year-format
1022               (symbol-value
1023                (intern (format "hebrew-calendar-year-%s-%s-%s";; keviah
1024                                rosh-hashanah-day type passover-day))))
1025              (first-saturday;; of Hebrew year
1026               (calendar-dayname-on-or-before 6 (+ 6 rosh-hashanah)))
1027              (saturday;; which Saturday of the Hebrew year
1028               (/ (- d first-saturday) 7))
1029              (parasha (aref year-format saturday)))
1030           (if parasha
1031               (format
1032                "Parashat %s"
1033                (if (listp parasha);; Israel differs from diaspora
1034                    (if (car parasha)
1035                        (format "%s (diaspora), %s (Israel)"
1036                                (hebrew-calendar-parasha-name (car parasha))
1037                                (hebrew-calendar-parasha-name (cdr parasha)))
1038                      (format "%s (Israel)"
1039                              (hebrew-calendar-parasha-name (cdr parasha))))
1040                  (hebrew-calendar-parasha-name parasha))))))))
1041
1042 (defvar hebrew-calendar-parashiot-names
1043 ["Bereshith"   "Noah"      "Lech L'cha" "Vayera"    "Hayei Sarah" "Toledoth"
1044  "Vayetze"     "Vayishlah" "Vayeshev"   "Mikketz"   "Vayiggash"   "Vayhi"
1045  "Shemoth"     "Vaera"     "Bo"         "Beshallah" "Yithro"      "Mishpatim"
1046  "Terumah"     "Tetzavveh" "Ki Tissa"   "Vayakhel"  "Pekudei"     "Vayikra"
1047  "Tzav"        "Shemini"   "Tazria"     "Metzora"   "Aharei Moth" "Kedoshim"
1048  "Emor"        "Behar"     "Behukkotai" "Bemidbar"  "Naso"       "Behaalot'cha"
1049  "Shelah L'cha" "Korah"    "Hukkath"    "Balak"     "Pinhas"      "Mattoth"
1050  "Masei"       "Devarim"   "Vaethanan"  "Ekev"      "Reeh"        "Shofetim"
1051  "Ki Tetze"    "Ki Tavo"   "Nitzavim"   "Vayelech"  "Haazinu"]
1052   "The names of the parashiot in the Torah.")
1053
1054 ;; The seven ordinary year types (keviot)
1055
1056 (defconst hebrew-calendar-year-Saturday-incomplete-Sunday
1057   [nil 52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22]
1058     23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 34 35 36 37 38 39 40 [41 42]
1059     43 44 45 46 47 48 49 50]
1060   "The structure of the parashiot.
1061 Hebrew year starts on Saturday, is `incomplete' (Heshvan and Kislev each have
1062 29 days), and has Passover start on Sunday.")
1063
1064 (defconst hebrew-calendar-year-Saturday-complete-Tuesday
1065   [nil 52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22]
1066     23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 34 35 36 37 38 39 40 [41 42]
1067     43 44 45 46 47 48 49 [50 51]]
1068   "The structure of the parashiot.
1069 Hebrew year that starts on Saturday, is `complete' (Heshvan and Kislev each
1070 have 30 days), and has Passover start on Tuesday.")
1071
1072 (defconst hebrew-calendar-year-Monday-incomplete-Tuesday
1073   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22]
1074     23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 34 35 36 37 38 39 40 [41 42]
1075     43 44 45 46 47 48 49 [50 51]]
1076   "The structure of the parashiot.
1077 Hebrew year that starts on Monday, is `incomplete' (Heshvan and Kislev each
1078 have 29 days), and has Passover start on Tuesday.")
1079
1080 (defconst hebrew-calendar-year-Monday-complete-Thursday
1081   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22]
1082    23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 (nil . 34) (34 . 35) (35 . 36)
1083    (36 . 37) (37 . 38) ([38 39] . 39) 40 [41 42] 43 44 45 46 47 48 49 [50 51]]
1084   "The structure of the parashiot.
1085 Hebrew year that starts on Monday, is `complete' (Heshvan and Kislev each have
1086 30 days), and has Passover start on Thursday.")
1087
1088 (defconst hebrew-calendar-year-Tuesday-regular-Thursday
1089   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22]
1090    23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 (nil . 34) (34 . 35) (35 . 36)
1091    (36 . 37) (37 . 38) ([38 39] . 39) 40 [41 42] 43 44 45 46 47 48 49 [50 51]]
1092   "The structure of the parashiot.
1093 Hebrew year that starts on Tuesday, is `regular' (Heshvan has 29 days and
1094 Kislev has 30 days), and has Passover start on Thursday.")
1095
1096 (defconst hebrew-calendar-year-Thursday-regular-Saturday
1097   [52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 [21 22] 23
1098    24 nil (nil . 25) (25 . [26 27]) ([26 27] . [28 29]) ([28 29] . 30)
1099    (30 . 31) ([31 32] . 32) 33 34 35 36 37 38 39 40 [41 42] 43 44 45 46 47 48
1100    49 50]
1101   "The structure of the parashiot.
1102 Hebrew year that starts on Thursday, is `regular' (Heshvan has 29 days and
1103 Kislev has 30 days), and has Passover start on Saturday.")
1104
1105 (defconst hebrew-calendar-year-Thursday-complete-Sunday
1106   [52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1107     23 24 nil 25 [26 27] [28 29] 30 [31 32] 33 34 35 36 37 38 39 40 [41 42]
1108     43 44 45 46 47 48 49 50]
1109   "The structure of the parashiot.
1110 Hebrew year that starts on Thursday, is `complete' (Heshvan and Kislev each
1111 have 30 days), and has Passover start on Sunday.")
1112
1113 ;; The seven leap year types (keviot)
1114
1115 (defconst hebrew-calendar-year-Saturday-incomplete-Tuesday
1116   [nil 52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1117     23 24 25 26 27 nil 28 29 30 31 32 33 34 35 36 37 38 39 40 [41 42]
1118     43 44 45 46 47 48 49 [50 51]]
1119   "The structure of the parashiot.
1120 Hebrew year that starts on Saturday, is `incomplete' (Heshvan and Kislev each
1121 have 29 days), and has Passover start on Tuesday.")
1122
1123 (defconst hebrew-calendar-year-Saturday-complete-Thursday
1124   [nil 52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1125    23 24 25 26 27 nil 28 29 30 31 32 33 (nil . 34) (34 . 35) (35 . 36)
1126    (36 . 37) (37 . 38) ([38 39] . 39) 40 [41 42] 43 44 45 46 47 48 49 [50 51]]
1127   "The structure of the parashiot.
1128 Hebrew year that starts on Saturday, is `complete' (Heshvan and Kislev each
1129 have 30 days), and has Passover start on Thursday.")
1130
1131 (defconst hebrew-calendar-year-Monday-incomplete-Thursday
1132   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1133    23 24 25 26 27 nil 28 29 30 31 32 33 (nil . 34) (34 . 35) (35 . 36)
1134    (36 . 37) (37 . 38) ([38 39] . 39) 40 [41 42] 43 44 45 46 47 48 49 [50 51]]
1135   "The structure of the parashiot.
1136 Hebrew year that starts on Monday, is `incomplete' (Heshvan and Kislev each
1137 have 29 days), and has Passover start on Thursday.")
1138
1139 (defconst hebrew-calendar-year-Monday-complete-Saturday
1140   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1141    23 24 25 26 27 nil (nil . 28) (28 . 29) (29 . 30) (30 . 31) (31 . 32)
1142    (32 . 33) (33 . 34) (34 . 35) (35 . 36) (36 . 37) (37 . 38) (38 . 39)
1143    (39 . 40) (40 . 41) ([41 42] . 42) 43 44 45 46 47 48 49 50]
1144   "The structure of the parashiot.
1145 Hebrew year that starts on Monday, is `complete' (Heshvan and Kislev each have
1146 30 days), and has Passover start on Saturday.")
1147
1148 (defconst hebrew-calendar-year-Tuesday-regular-Saturday
1149   [51 52 nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1150    23 24 25 26 27 nil (nil . 28) (28 . 29) (29 . 30) (30 . 31) (31 . 32)
1151    (32 . 33) (33 . 34) (34 . 35) (35 . 36) (36 . 37) (37 . 38) (38 . 39)
1152    (39 . 40) (40 . 41) ([41 42] . 42) 43 44 45 46 47 48 49 50]
1153   "The structure of the parashiot.
1154 Hebrew year that starts on Tuesday, is `regular' (Heshvan has 29 days and
1155 Kislev has 30 days), and has Passover start on Saturday.")
1156
1157 (defconst hebrew-calendar-year-Thursday-incomplete-Sunday
1158   [52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1159     23 24 25 26 27 28 nil 29 30 31 32 33 34 35 36 37 38 39 40 41 42
1160     43 44 45 46 47 48 49 50]
1161   "The structure of the parashiot.
1162 Hebrew year that starts on Thursday, is `incomplete' (Heshvan and Kislev both
1163 have 29 days), and has Passover start on Sunday.")
1164
1165 (defconst hebrew-calendar-year-Thursday-complete-Tuesday
1166   [52 nil nil 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
1167     23 24 25 26 27 28 nil 29 30 31 32 33 34 35 36 37 38 39 40 41 42
1168     43 44 45 46 47 48 49 [50 51]]
1169   "The structure of the parashiot.
1170 Hebrew year that starts on Thursday, is `complete' (Heshvan and Kislev both
1171 have 30 days), and has Passover start on Tuesday.")
1172
1173 (defun hebrew-calendar-parasha-name (p)
1174   "Name(s) corresponding to parasha P."
1175   (if (arrayp p);; combined parasha
1176       (format "%s/%s"
1177               (aref hebrew-calendar-parashiot-names (aref p 0))
1178               (aref hebrew-calendar-parashiot-names (aref p 1)))
1179     (aref hebrew-calendar-parashiot-names p)))
1180
1181 (provide 'cal-hebrew)
1182
1183 ;;; cal-hebrew.el ends here