/
indian.rb
1268 lines (1153 loc) · 50.3 KB
/
indian.rb
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# -*- coding: utf-8 -*-
=begin
Copyright (C) 2011-2014 Takashi SUGA
You may use and/or modify this file according to the license described in the LICENSE.txt file included in this archive.
=end
module When
module Parts::Locale
#
# IAST: International Alphabet of Sanskrit Transliteration
#
IAST = {
'hi' => {
"A" => "अ", "a" => "अ",
"Ā" => "आ", "ā" => "आ",
"I" => "इ", "i" => "इ",
"Ī" => "ई", "ī" => "ई",
"U" => "उ", "u" => "उ",
"Ū" => "ऊ", "ū" => "ऊ",
"Ṛ" => "ऋ", "ṛ" => "ऋ",
"Ṝ" => "ॠ", "ṝ" => "ॠ",
"Ḷ" => "ऌ", "ḷ" => "ऌ",
"Ḹ" => "ॡ", "ḹ" => "ॡ",
"E" => "ए", "e" => "ए",
"Ai" => "ऐ", "ai" => "ऐ",
"O" => "ओ", "o" => "ओ",
"Au" => "औ", "au" => "औ",
"Ṃ" => "अं", "ṃ" => "अं",
"Ḥ" => "अः", "ḥ" => "अः",
"'" => "अऽ",
"K" => "क", "k" => "क",
"C" => "च", "c" => "च",
"Ṭ" => "ट", "ṭ" => "ट",
"T" => "त", "t" => "त",
"P" => "प", "p" => "प",
"Kh" => "ख", "kh" => "ख",
"Ch" => "छ", "ch" => "छ",
"Ṭh" => "ठ", "ṭh" => "ठ",
"Th" => "थ", "th" => "थ",
"Ph" => "फ", "ph" => "फ",
"G" => "ग", "g" => "ग",
"J" => "ज", "j" => "ज",
"Ḍ" => "ड", "ḍ" => "ड",
"D" => "द", "d" => "द",
"B" => "ब", "b" => "ब",
"Gh" => "घ", "gh" => "घ",
"Jh" => "झ", "jh" => "झ",
"Ḍh" => "ढ", "ḍh" => "ढ",
"Dh" => "ध", "dh" => "ध",
"Bh" => "भ", "bh" => "भ",
"Ṅ" => "ङ", "ṅ" => "ङ",
"Ñ" => "ञ", "ñ" => "ञ",
"Ṇ" => "ण", "ṇ" => "ण",
"N" => "न", "n" => "न",
"M" => "म", "m" => "म",
"H" => "ह", "h" => "ह",
"Y" => "य", "y" => "य",
"R" => "र", "r" => "र",
"L" => "ल", "l" => "ल",
"V" => "व", "v" => "व",
"Ś" => "श", "ś" => "श",
"Ṣ" => "ष", "ṣ" => "ष",
"S" => "स", "s" => "स"
},
'ja' => {
"Ā" => "A-", "ā" => "a-",
"Ī" => "I-", "ī" => "i-",
"Ū" => "U-", "ū" => "u-",
"E" => "e-", "e" => "e-",
"O" => "O-", "o" => "o-",
"Ṛ" => "R", "ṛ" => "r",
"Ṝ" => "R", "ṝ" => "r",
"Ḷ" => "L", "ḷ" => "l",
"Ḹ" => "L", "ḹ" => "l",
"Ṃ" => "M", "ṃ" => "m",
"Ḥ" => "H", "ḥ" => "h",
"C" => "Ch", "c" => "ch",
"Ṭ" => "T", "ṭ" => "t",
"Kh" => "K", "kh" => "k",
"Ch" => "Ch", "ch" => "ch",
"Ṭh" => "T", "ṭh" => "t",
"Th" => "T", "th" => "t",
"Ph" => "P", "ph" => "p",
"Ḍ" => "D", "ḍ" => "d",
"Gh" => "G", "gh" => "g",
"Jh" => "J", "jh" => "j",
"Ḍh" => "D", "ḍh" => "d",
"Dh" => "D", "dh" => "d",
"Bh" => "B", "bh" => "b",
"Ṅ" => "N", "ṅ" => "n",
"Ñ" => "Ny", "ñ" => "ny",
"Ṇ" => "N", "ṇ" => "n",
"Ś" => "Sh", "ś" => "sh",
"Ṣ" => "Sh", "ṣ" => "sh",
}
}
# @private
IAST_keys = Hash[*(IAST.keys.map {|locale|
[locale, Regexp.new((IAST[locale].keys.sort_by {|key| -key.length} + ['%.*?[A-Za-z]']).join('|'))]
}).flatten]
#
# Convert IAST string to indic scripts
#
# @private
def self.iast(string, locale)
string.gsub(IAST_keys[locale]) {|code|
IAST[locale][code] || code
}
end
end
class BasicTypes::M17n
IndianTerms = [self, [
"namespace:[en=http://en.wikipedia.org/wiki/, ja=http://ja.wikipedia.org/wiki/, hi=http://hi.wikipedia.org/wiki/]",
"locale:[=en:, ja=ja:, hi=hi:, alias]",
"names:[IndianTerms=]",
"[IndianNationalSolar=en:Indian_national_calendar, インド国定暦]",
"[HinduSolar=en:Hindu_calendar, インド太陽暦=ja:%%<ヒンドゥー暦>]",
"[HinduLuniSolar=en:Hindu_calendar, インド太陰太陽暦=ja:%%<ヒンドゥー暦>]",
[self,
"names:[IntercalaryMonth=en:Intercalation, 閏月]",
"[%s Śuklapakṣa=, %s 白分=, _IAST_]",
"[%s Kṛṣṇapakṣa=, %s 黒分=, _IAST_]",
"[adhika %s Śuklapakṣa=, 閏%s 白分=, _IAST_]",
"[adhika %s Kṛṣṇapakṣa=, 閏%s 黒分=, _IAST_]"
],
[self,
"names:[IntercalaryDay=en:Intercalation, 閏日=ja:%%<閏>]",
"[Double %s=, 欠= ]",
"[Intercalary %s=, 重= ]"
],
[self,
"names:[LunarMonth=, 太陰月=ja:%%<月_(暦)>]",
"[Mārgaśīra=en:Margashirsha, マールガシールシャ=, _IAST_]",
"[Pauṣa=en:Pausha, パウシャ=, _IAST_]",
"[Māgha=en:Maagha, マーガ=, _IAST_]",
"[Phālguna=en:Phalguna, パールグナ=, _IAST_]",
"[Caitra=en:Chaitra, チャイトラ=, _IAST_]",
"[Vaiśākha=en:Vaisakha, ヴァイシャーカ=, _IAST_]",
"[Jyaiṣṭha=en:Jyeshta, ジャイシュタ=, _IAST_]",
"[Āṣāḍha=en:Aashaadha, アーシャーダ=, _IAST_]",
"[Śrāvaṇa=en:Shraavana, シュラーヴァナ=, _IAST_]",
"[Bhādrapada=en:Bhadrapada, バードラパダ=, _IAST_]",
"[Āśvina=en:Ashwin, アーシュヴィナ=, _IAST_]",
"[Kārttika=en:Kartika_(month), カールッティカ=, _IAST_]"
],
[self,
"names:[SolarMonth=, 太陽月=ja:%%<月_(暦)>]",
"[Maysha=, 白羊宮, _IAST_]",
"[Vrushabha=, 金牛宮, _IAST_]",
"[Mithuna=, 双児宮, _IAST_]",
"[Karka=, 巨蟹宮, _IAST_]",
"[Simha=, 獅子宮, _IAST_]",
"[Kanya=, 処女宮, _IAST_]",
"[Tula=, 天秤宮, _IAST_]",
"[Vrushchika=, 天蝎宮, _IAST_]",
"[Dhanu=, 人馬宮, _IAST_]",
"[Makar=, 磨羯宮, _IAST_]",
"[Kumbha=, 宝瓶宮, _IAST_]",
"[Meena=, 双魚宮, _IAST_]"
]
]]
end
module Coordinates
# Location of cities in India
IndianCities = [When::BasicTypes::M17n, [
"namespace:[en=http://en.wikipedia.org/wiki/, ja=http://ja.wikipedia.org/wiki/]",
"locale:[=en:, ja=ja:, alias]",
"names:[IndianCities]",
[Spatial, "long:+82.5", "lat:N23.11", "label:[CentralIndia, インド中部]" ],
[Spatial, "long:+82.5", "lat:+29.0", "label:[NorthIndia, インド北部]" ],
[Spatial, "long:+78.0", "lat:+27.2", "label:[Agra, アーグラ]" ],
[Spatial, "long:+72.6", "lat:+23.0", "label:[Ahmedabad, アフマダーバード]" ],
[Spatial, "long:+74.6", "lat:+26.5", "label:[Ajmer, アジメール]" ],
[Spatial, "long:+78.1", "lat:+27.9", "label:[Aligarh, アリーガル]" ],
[Spatial, "long:+74.9", "lat:+31.6", "label:[Amritsar, アムリトサル]" ],
[Spatial, "long:+77.6", "lat:+13.0", "label:[Bangalore, バンガロール]" ],
[Spatial, "long:+85.8", "lat:+20.2", "label:[Bhuvaneswar, ブヴァネーシュヴァル]"],
[Spatial, "long:+80.3", "lat:+13.1", "label:[Chennai, チェンナイ, Madras]" ],
[Spatial, "long:+79.9", "lat: +6.9", "label:[Colombo, コロンボ]" ],
[Spatial, "long:+90.4", "lat:+23.7", "label:[Dacca, ダッカ]" ],
[Spatial, "long:+77.2", "lat:+28.6", "label:[Delhi, デリー]" ],
[Spatial, "long:+78.5", "lat:+17.4", "label:[Hyderabad, ハイデラバード]" ],
[Spatial, "long:+75.8", "lat:+26.9", "label:[Jaipur, ジャイプル]" ],
[Spatial, "long:+85.2", "lat:+27.7", "label:[Kathmandu, カトマンズ]" ],
[Spatial, "long:+76.2", "lat:+10.0", "label:[Kochi, コーチ, Cochin]" ],
[Spatial, "long:+88.4", "lat:+22.6", "label:[Kolkata, コルカタ, Calcutta]" ],
[Spatial, "long:+74.3", "lat:+31.6", "label:[Lahor, ラホール]" ],
[Spatial, "long:+77.7", "lat:+27.5", "label:[Mathura, マトゥラー]" ],
[Spatial, "long:+72.8", "lat:+19.0", "label:[Mumbai, ムンバイ, Bombay]" ],
[Spatial, "long:+76.6", "lat:+12.3", "label:[Mysore, マイソール]" ],
[Spatial, "long:+85.1", "lat:+25.6", "label:[Patna, パトナ]" ],
[Spatial, "long:+73.9", "lat:+18.5", "label:[Pune, プネー]" ],
[Spatial, "long:+74.8", "lat:+34.1", "label:[Srinagar, シュリーナガル]" ],
[Spatial, "long:+77.0", "lat: +8.5", "label:[Thiruvananthapuram, ティルヴァナンタプラム, Trivandrum]"],
[Spatial, "long:+83.0", "lat:+25.3", "label:[Varanasi, ワーラーナシー]" ],
[Spatial, "long:+75.8", "lat:+23.2", "label:[Ujjain, ウッジャイン]" ]
]]
end
module Ephemeris
#
# Hindu Luni-Solar Calendar Formula
#
class Hindu < Formula
# Basic Astronomical Constants for Surya-Siddhanta
Tz = 0.5+75.8/360 # time difference between JulianDayNumber and Ujjain
E = 588_466 - Tz # Yuga Epoch -3101-02-18T00:00:00
P = 180 # Precession cycles in yuga
Ep = 1_903_318 - Tz # Precession Epoch 499-01-01
Ob = 24.0 / 360.0 # Obliquity of the ecliptic
Grahas = {
'SS' => { # Previous / Newest
:Star => 1_582_237_800.0, # 1_582_237_500 / 1_582_237_800
:Sun => 4_320_000.0,
:Moon => 57_753_336.0,
:Mercury => 17_937_000.0,
:Venus => 7_022_388.0,
:Mars => 2_296_824.0,
:Jupiter => 364_220.0,
:Saturn => 146_564.0,
:Candrocca => 488_219.0, # 488_203 / 488_219
:Rahu => -232_226.0
},
'SB' => {
:Star => 1_582_237_828.0,
:Sun => 4_320_000.0,
:Moon => 57_753_336.0,
:Mercury => 17_937_060.0,
:Venus => 7_022_376.0,
:Mars => 2_296_832.0,
:Jupiter => 364_220.0,
:Saturn => 146_568.0,
:Candrocca => 488_203.0, # 488_199 / 488_203
:Rahu => -232_238.0
}
}
#
# 日月五惑星とラーフおよびケートゥ
#
# @abstract
class Graha
include When::Ephemeris
end
#
# 現代的“惑星”
#
class ModernGraha < Graha
# 真黄経
#
# @param [Numeric] t ユリウス日
#
# @return [Numeric]
#
def true_longitude(t)
@target.coords(t, @base).phi
end
# オブジェクトの生成
#
# @param [When::Ephemeris::Datum] target 天体
# @param [When::Coordinates::Spatial] base 観測地
#
def initialize(target, base)
@target = target
@base = base
end
end
#
# 古典的“惑星”
#
# @abstract
class ClassicGraha < Graha
# 平均黄経
#
# @param [Numeric] t ユリウス日
#
# @return [Numeric]
#
def mean_longitude(t)
_mean_rotation(t - E)
end
# 真黄経
#
# @param [Numeric] t ユリウス日
#
# @return [Numeric]
#
def true_longitude(t)
_true_rotation(t - E)
end
# 平均黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _mean_rotation(ahar)
@rotation * ahar / @formula.civil_days
end
# オブジェクトの生成
#
# @param [When::Ephemeris::Formula] formula 親オブジェクト
# @param [Numeric] rotation ユガあたりの回転数
#
def initialize(formula, rotation)
@formula = formula
@rotation = rotation
end
end
# 架空の“惑星” - ラーフ / 月軌道の遠地点としてのケートゥ
class VirtualGraha < ClassicGraha
# 平均黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _mean_rotation(ahar)
super + @rotation0
end
alias :_true_rotation :_mean_rotation
# オブジェクトの生成
#
# @param [When::Ephemeris::Formula] formula 親オブジェクト
# @param [Numeric] rotation ユガあたりの回転数
# @param [Numeric] rotation0 カリユガ暦元での回転量
#
def initialize(formula, rotation, rotation0)
@rotation0 = rotation0 / 360.0
super(formula, rotation)
end
end
# 実在の“惑星”
# @abstract
class RealGraha < ClassicGraha
# マンダ補正
#
# @param [Numeric] rot 平均近点角など / CIRCLE
#
# @return [Numeric]
#
def _manda_equation(rot)
asin(@circumm * sinc(rot)) / CIRCLE
end
# オブジェクトの生成
#
# @param [When::Ephemeris::Formula] formula 親オブジェクト
# @param [Numeric] rotation ユガあたりの回転数
# @param [Numeric] circumm マンダ円の半径
# @param [Numeric] apogee 近点黄経 / CIRCLE
#
def initialize(formula, rotation, circumm, apogee)
@circumm = circumm / 360.0
@apogee = apogee / 360.0
super(formula, rotation)
end
end
# 太陽と月 - 逆行しない“惑星”
# @abstract
class ConcentricGraha < RealGraha
# 平均黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _mean_rotation(ahar)
super + @epoch
end
# オブジェクトの生成
#
# @param [When::Ephemeris::Formula] formula 親オブジェクト
# @param [Numeric] rotation ユガあたりの回転数
# @param [Numeric] circumm マンダ円の半径
# @param [Numeric] apogee 近点黄経 / CIRCLE
# @param [Numeric] epoch カリユガ暦元での黄経 / CIRCLE
#
def initialize(formula, rotation, circumm, apogee, epoch)
@epoch = epoch
super(formula, rotation, circumm, apogee)
end
end
# 太陽
class Sun < ConcentricGraha
# 真黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _true_rotation(ahar)
mean = _mean_rotation(ahar)
mean - _manda_equation(mean - @apogee)
end
end
# 月
class Moon < ConcentricGraha
# 真黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _true_rotation(ahar)
mean = _mean_rotation(ahar)
mean - _manda_equation(mean - @formula.graha[:Candrocca]._mean_rotation(ahar))
end
end
# 惑星 - 逆行するもの
# @abstract
class Planet < RealGraha
# シグラ補正
#
# @param [Numeric] anomaly 平均近点角 / CIRCLE
#
# @return [Numeric]
#
def _sighra_equation(anomaly)
atan2(@circums * sinc(anomaly), @circums * cosc(anomaly) + 1) / CIRCLE
end
# 平均シグラ
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
#
# @return [Numeric]
#
def _mean_sighra(ahar)
@sighra * ahar / @formula.civil_days
end
# 真黄経
#
# @param [Numeric] ahar カリユガ暦元からの経過日数
# @param [Numeric] rotation 基準回転量 / CIRCLE
#
# @return [Numeric]
#
def _true_rotation(ahar, rotation)
# first sighra correction
delta = _sighra_equation(_mean_sighra(ahar) - rotation) / 2
# first manda correction
mean = _mean_rotation(ahar) + delta
delta = _manda_equation(mean - @apogee) / 2
# second manda correction
mean -= delta
delta = _manda_equation(mean - @apogee)
# second sighra correction
mean = _mean_rotation(ahar) - delta
delta = _sighra_equation(_mean_sighra(ahar) - mean)
# true rotation
mean + delta
end
# オブジェクトの生成
#
# @param [When::Ephemeris::Formula] formula 親オブジェクト
# @param [Numeric] rotation ユガあたりの回転数
# @param [Numeric] circumm マンダ円の半径
# @param [Numeric] apogee 近点黄経 / CIRCLE
# @param [Numeric] sighra シグラ対象のカリユガあたりの回転数
# @param [Numeric] circums シグラ円の半径
#
def initialize(formula, rotation, circumm, apogee, sighra, circums)
@sighra = sighra
@circums = circums / 360.0
super(formula, rotation, circumm, apogee)
end
end
# 内惑星 - 水金
class InferiorPlanet < Planet
# 真黄経
#
# @param [Numeric] t ユリウス日
#
# @return [Numeric]
#
def true_longitude(t)
ahar = t - E
_true_rotation(ahar, @formula.graha[:Sun]._mean_rotation(ahar))
end
end
# 外惑星 - 火木土
class SuperiorPlanet < Planet
# 真黄経
#
# @param [Numeric] t ユリウス日
#
# @return [Numeric]
#
def true_longitude(t)
ahar = t - E
_true_rotation(ahar, _mean_rotation(ahar))
end
end
#
# ユガの太陽日数
#
# @return [Numeric]
#
attr_reader :civil_days
# 日の出の日時
#
# @param [Numeric] sdn ユリウス日
# @param [When::TM::TemporalPosition] sdn
# @param [nil] height 太陽高度(本クラスでは使用しない)
#
# @return [Integer, When::TM::DateAndTime] 日の出の日時
#
def sunrise(sdn, height=nil)
t = sdn.to_i - @long / 360.0 - 0.25
p = _mean_sun(t) + P * (t - Ep) / @civil_days
_to_seed_type(t - asin(tand(@lat)*tan(asin(sinc(p)*sinc(Ob)))) / CIRCLE, sdn)
end
# 日の入りの日時
#
# @param [Numeric] sdn ユリウス日
# @param [When::TM::TemporalPosition] sdn
# @param [nil] height 太陽高度(本クラスでは使用しない)
#
# @return [Integer, When::TM::DateAndTime] 日の入りの日時
#
def sunset(sdn, height=nil)
t = sdn.to_i - @long / 360.0 + 0.25
p = _mean_sun(t) + P * (t - Ep) / @civil_days
_to_seed_type(t + asin(tand(@lat)*tan(asin(sinc(p)*sinc(Ob)))) / CIRCLE, sdn)
end
# 太陽の南中の日時
#
# @param [Numeric] sdn ユリウス日
# @param [When::TM::TemporalPosition] sdn
#
# @return [Integer, When::TM::DateAndTime] 太陽の南中の日時
#
def sun_noon(sdn)
_to_seed_type(sdn.to_i - @long / 360.0, sdn)
end
private
# オブジェクトの正規化
def _normalize(args=[], options={})
@time_standard ||= 'universal'
@bija ||= 'SB'
super
end
# 9惑星オブジェクトの生成
def _normalize_grahas
grahas = Grahas[@bija]
# ユガあたりの暦定数
@sidereal_days = grahas[:Star] # 恒星日
@solar_years = grahas[:Sun] # 太陽年
@civil_days = @sidereal_days - @solar_years # 太陽日
@sidereal_months = grahas[:Moon] # 恒星月
@synodic_months = @sidereal_months - @solar_years # 朔望月
@adhimasas = @synodic_months - 12 * @solar_years # 閏月
@tithis = 30 * @sidereal_months # 太陰日
@ksayadinas = @tithis - @civil_days # 欠日
# 9惑星
@graha = {}
@graha.update({
:Sun => Sun.new( self, @solar_years, 13+50/60.0, 77+17/60.0, -3101)
}) if @formula =~ /[SL]/i
@graha.update({
:Moon => Moon.new( self, @sidereal_months, 31+50/60.0, 0, -28086),
:Candrocca => VirtualGraha.new( self, grahas[:Candrocca], 90.0)
}) if @formula =~ /[ML]/i
@graha.update({
:Mercury => InferiorPlanet.new(self, @solar_years, 29.0, 220+27/60.0, grahas[:Mercury], 131.5),
:Venus => InferiorPlanet.new(self, @solar_years, 11.5, 79+50/60.0, grahas[:Venus], 261.0),
:Mars => SuperiorPlanet.new(self, grahas[:Mars], 73.5, 130+02/60.0, @solar_years, 233.5),
:Jupiter => SuperiorPlanet.new(self, grahas[:Jupiter], 32.5, 171+18/60.0, @solar_years, 71.0),
:Saturn => SuperiorPlanet.new(self, grahas[:Saturn], 48.5, 236+37/60.0, @solar_years, 39.5),
:Rahu => VirtualGraha.new( self, grahas[:Rahu], 180.0)
}) if @formula == '2L'
end
end
end
class TM::CalendarEra
IndianNationalSolar = [self, [
"namespace:[en=http://en.wikipedia.org/wiki/, ja=http://ja.wikipedia.org/wiki/]",
"locale:[=en:, ja=ja:, alias]",
"area:[IndianNationalSolar=en:Indian_national_calendar, インド国定暦]",
["[SE=, サカ暦=, alias:Saka_Era]1.1.1", "Calendar Epoch", "79-01-01^IndianNationalSolar"]
]]
end
module CalendarTypes
#
# Indian national solar calendar
#
IndianNationalSolar = [CyclicTableBased, {
'label' => When.Resource('_m:IndianTerms::IndianNationalSolar'),
'origin_of_LSC' => 1721140,
'indices' => [
When::Coordinates::Index.new({:unit =>12, :trunk=>When.Resource('_m:IndianTerms::LunarMonth::*'), :shift=>4}),
When::Coordinates::DefaultDayIndex
],
'rule_table' => {
'T' => {'Rule' =>['LC', 'SC', 'SC', 'SC']},
'SC' => {'Rule' =>[365]*4 + [366, 365, 365, 365]*24},
'LC' => {'Rule' =>[366, 365, 365, 365]*25},
365 => {'Length'=>[30] + [31]*5 + [30]*6},
366 => {'Length'=> [31]*6 + [30]*6}
},
}]
#
# Hindu Solar Calendar
#
class HinduSolar < EphemerisBasedSolar
# protected
# 月初の通日
#
# @param [Integer] m 通月
#
# @return [Integer] 月初の通日
#
def _new_month_(m)
new_month_time = @formula[0].cn_to_time(m + @cycle_offset)
new_month_date = (new_month_time + 0.5 + @formula[0].long/360.0).floor
sunrise_time = @formula[0].sunrise(new_month_date)
(sunrise_time <= new_month_time) ? new_month_date : new_month_date-1
end
private
# オブジェクトの正規化
#
# @formula[0] = 位相の計算に用いる太陽の Formula
# @cycle_offset = 位相のオフセット
# @start_month = 暦年の最初の月
#
def _normalize(args=[], options={})
@label ||= When.Resource('_m:IndianTerms::HinduSolar')
@type ||= 'SBS'
raise ArgumentError, "Irregal formula: #{@formula}" unless @type.upcase =~ /^(M|SS|SB)(V|S|VZ|SZ)$/
@location ||= HinduLuniSolar::Location[$1]
@cycle_offset ||= HinduLuniSolar::CycleOffset[$1]
@origin_of_MSC ||= -HinduLuniSolar::YearEpoch[$2]
@epoch_in_CE ||= 0
@start_month ||= 1 # Maysha
@start_month = @start_month.to_i
@cycle_offset = @cycle_offset.to_f + (@start_month - 1)
formula = @formula || HinduLuniSolar::Formula[$1]
if formula.kind_of?(String)
formula += (formula =~ /\?/) ? '&' : '?'
@formula = [When.Resource("_ep:#{formula}location=(#{@location})&formula=12S")]
end
@indices ||= [
Coordinates::Index.new({:trunk=>When.Resource('_m:IndianTerms::SolarMonth::*'),
:shift=>@start_month-1}),
Coordinates::DefaultDayIndex
]
super
end
end
#
# Hindu Luni-Solar Calendar
#
class HinduLuniSolar < EphemerisBasedLuniSolar
# Calendar Type
Formula = {'M'=>'Formula', 'SS'=>'Hindu?bija=SS', 'SB'=>'Hindu?bija=SB'}
Location = {'M'=>'_co:IndianCities::CentralIndia', 'SS'=>'_co:IndianCities::Ujjain', 'SB'=>'_co:IndianCities::Ujjain'}
CycleOffset = {'M'=>+23.25/30, 'SS'=>0.0, 'SB'=>0.0}
HinduStyle = {'A'=>0, 'P'=>1, 'PX'=>2}
YearEpoch = {'V'=>-58,'VZ'=>-57,'S'=>78, 'SZ'=>79}
# White / black month and leap month identification table
#[w]/b [n]/l #0 #1 #2
LEAP_MAP = {[nil, false] => [ 0, 0, 0 ],
[nil, true ] => [-1.5, -1.5, -1.5],
[true, false] => [+0.5, -0.5, -2.5],
[true, true ] => [-1, -2, -1 ]}
# protected
# 月初の通日
#
# @param [Integer] m 通月
#
# @return [Integer] 月初の通日
#
def _new_month_(m)
new_moon_time = @formula[-1].cn_to_time(m)
new_moon_date = (new_moon_time + 0.5 + @formula[-1].long/360.0).floor
sunrise_time = @formula[-1].sunrise(new_moon_date)
(sunrise_time >= new_moon_time) ? new_moon_date : new_moon_date+1
end
# 年初の通月
#
# @param [Integer] y 年
#
# @return [Integer] 年初の通月
#
def _new_year_month_(y)
(Residue.mod(y-1) {|t| _tithi_to_coordinates(t*15)[0]})[0] + 1
end
# 朔望日 -> 年・月・日
#
# tithi : 朔望日(月の位相 / (CIRCLE/30))
#
# @return [Array<Numeric>] ( y, m, d )
# [ y - 年(Integer) ]
# [ m - 月(When::Coordinates::Pair) ]
# [ d - 日(Integer) ]
#
def _tithi_to_coordinates(tithi)
m, d = tithi.divmod(30)
s = [0,1,2].map {|i| (@formula[1].time_to_cn(30*(m+i)) - @cycle_offset).floor + 1 }
f = s[0]==s[1]
if (d >= 15.0)
d -= 15
b = true
n = true unless @hindu_style==0
f = s[1]==s[2] if @hindu_style==1
end
y, m = (n ? s[1] : s[0]).divmod(12)
return [y, Pair._force_pair(m+1, LEAP_MAP[[b,f]][@hindu_style]), d.floor]
end
# 日時要素の翻訳表の取得
#
# @overload _ids_(date)
# @param [Array<Numeric>] date ( 年 )
# @return [Array<When::Coordinates::Pair>] 1年の月の配置の翻訳表
#
# @overload _ids_(date)
# @param [Array<Numeric>] date ( 年 月 )
# @return [Array<When::Coordinates::Pair>] 1月の日の配置の翻訳表
# @note 月は 0 始まりの通番
#
def _ids_(date)
y, m = date
y = +y
mm = _new_year_month(y)
return (_table(_new_month_(mm+m.to_i)) {|i| _new_month(mm+m+i/15.0)}) if m
table = (0...26).to_a.map {|i| _tithi_to_coordinates((mm+i)*15)[1]}
table.pop while table[-1].trunk < 11
return table
end
private
# 日時要素の翻訳表の作成
def _table(b0)
table = [Pair._force_pair(0,0)]
(1..16).each do |i|
b1 = yield(i)
case b1-b0
when 0 ; table[-1] = Pair._force_pair(i-1, -2)
when 1 ; table << Pair._force_pair(i, 0)
when 2 ; table << Pair._force_pair(i, 0) << Pair._force_pair(i, 1)
else ; raise ArgumentError, "Irregal date span: #{b1-b0}"
end
b0 = b1
end
table.pop while table[-1].trunk >= 16
table.shift
return table
end
# オブジェクトの正規化
#
# @formula = 位相の計算に用いる太陽・変換・月の Formula
# @cycle_offset = 位相のオフセット
# @hindu_style = 閏月の表現方法
# @start_month = 暦年の最初の月
#
def _normalize(args=[], options={})
@label ||= When.Resource('_m:IndianTerms::HinduLuniSolar')
@type ||= 'SBSA'
raise ArgumentError, "Irregal formula: #{@formula}" unless @type.upcase =~ /^(M|SS|SB)(V|S|VZ|SZ)(A|P|PX)$/
@location ||= Location[$1]
@cycle_offset ||= CycleOffset[$1]
@origin_of_MSC ||= -YearEpoch[$2]
@hindu_style ||= HinduStyle[$3]
@epoch_in_CE ||= 0
@start_month ||= 5 # Chaitra
@start_month = @start_month.to_i
@cycle_offset = @cycle_offset.to_f + (@start_month - 5)
@hindu_style = @hindu_style.to_i
@origin_of_MSC = @origin_of_MSC.to_i
formula = @formula || Formula[$1]
if formula.kind_of?(String)
formula += (formula =~ /\?/) ? '&' : '?'
@formula = When.Resource(["_ep:#{formula}formula=12S",
"_ep:#{formula}formula=30L->12S",
"_ep:#{formula}location=(#{@location})&formula=2L"])
end
intercalary_month = When.Resource('_m:IndianTerms::IntercalaryMonth::*')
intercalary_day = When.Resource('_m:IndianTerms::IntercalaryDay::*')
@indices ||= [
Coordinates::Index.new({:branch=>{-2.5 => intercalary_month[1], # 黒分
-2 => intercalary_month[3], # 閏黒分
-1.5 => intercalary_month[2], # 閏白分
-1 => intercalary_month[3], # 閏黒分
-0.5 => intercalary_month[1], # 黒分
0 => intercalary_month[0], # 白分
+0.5 => intercalary_month[1]}, # 黒分
:trunk=>When.Resource('_m:IndianTerms::LunarMonth::*'),
:shift=>@start_month-1}),
Coordinates::Index.new({:branch=>{-2=>intercalary_day[0], -1=>intercalary_day[1]}})
]
super
end
end
end
class CalendarNote
#
# ヒンドゥー系の暦注
#
class HinduNote < self
NoteObjects = [When::BasicTypes::M17n, [
"namespace:[en=http://en.wikipedia.org/wiki/, ja=http://ja.wikipedia.org/wiki/, hi=http://hi.wikipedia.org/wiki/]",
"locale:[=en:, ja=ja:, hi=hi:, alias]",
"names:[Hindu]",
# 年の暦注 ----------------------------
[When::BasicTypes::M17n,
"names:[year]",
[When::BasicTypes::M17n,
"names:[samvatsara, 木星年=]",
"[Prabhava=, プラバヴァ=, _IAST_]", # 1
"[Vibhava=, ヴィバヴァ=, _IAST_]", # 2
"[Sukha=, スカ=, _IAST_]", # 3
"[Pramoda=, プラモーダ=, _IAST_]", # 4
"[Prajāpati=, プラジャーパティ=, _IAST_]", # 5
"[Aṅgiras=, アンギラス=, _IAST_]", # 6
"[Śrīmukha=, シュリームカ=, _IAST_]", # 7
"[Bhāva=, バーヴァ=, _IAST_]", # 8
"[Yuvan=, ユヴァン=, _IAST_]", # 9
"[Dhātṛ=, ダートリ=, _IAST_]", # 10
"[Īśvara=, イーシュヴァラ=, _IAST_]", # 11
"[Bahudhānya=, バフダーニャ=, _IAST_]", # 12
"[Pramāthin=, プラマーティン=, _IAST_]", # 13
"[Vikrama=, ヴィクラマ=, _IAST_]", # 14
"[Vṛṣa=, ヴリシャ=, _IAST_]", # 15
"[Chitrabhānu=, チトラバーヌ=, _IAST_]", # 16
"[Subhānu=, スバーヌ=, _IAST_]", # 17
"[Tāraṇa=, ターラナ=, _IAST_]", # 18
"[Pārthiva=, パールティヴァ=, _IAST_]", # 19
"[Vyaya=, ヴヤヤ=, _IAST_]", # 20
"[Sarvajit=, サルヴァジト=, _IAST_]", # 21
"[Sarvadhārin=, サルヴァダーリン=, _IAST_]", # 22
"[Virodhin=, ヴィローディン=, _IAST_]", # 23
"[Vikṛta=, ヴィクリタ=, _IAST_]", # 24
"[Khara=, カラ=, _IAST_]", # 25
"[Nandana=, ナンダナ=, _IAST_]", # 26
"[Vijaya=, ヴィジャヤ=, _IAST_]", # 27
"[Jaya=, ジャヤ=, _IAST_]", # 28
"[Manmatha=, マンマタ=, _IAST_]", # 29
"[Durmukha=, ドゥルムカ=, _IAST_]", # 30
"[Hemalamba=, ヘマラムバ=, _IAST_]", # 31
"[Vilambin=, ヴィラムビン=, _IAST_]", # 32
"[Vikārin=, ヴィカーリン=, _IAST_]", # 33
"[Śārvarin=, シャールヴァリン=, _IAST_]", # 34
"[Plava=, プラヴァ=, _IAST_]", # 35
"[Śubhakṛt=, シュバクリト=, _IAST_]", # 36
"[Śobhana=, ショバナ=, _IAST_]", # 37
"[Krodhin=, クロディン=, _IAST_]", # 38
"[Viśvāvasu=, ヴィシュヴァーヴァス=, _IAST_]", # 39
"[Parābhava=, パラーバヴァ=, _IAST_]", # 40
"[Plavaṅga=, プラヴァンガ=, _IAST_]", # 41
"[Kīlaka=, キーラカ=, _IAST_]", # 42
"[Saumya=, サウムヤ=, _IAST_]", # 43
"[Sādhāraṇa=, サーダーラナ=, _IAST_]", # 44
"[Virodhakṛt=, ヴィローダクリト=, _IAST_]", # 45
"[Paridhāvin=, パリダーヴィン=, _IAST_]", # 46
"[Pramādin=, プラマーディン=, _IAST_]", # 47
"[Ānanda=, アーナンダ=, _IAST_]", # 48
"[Rākṣasa=, ラークシャサ=, _IAST_]", # 49
"[Anala=, アナラ=, _IAST_]", # 50
"[Piṅgala=, ピンガラ=, _IAST_]", # 51
"[Kālayukta=, カーラユクタ=, _IAST_]", # 52
"[Siddhārthin=, シッダールティン=, _IAST_]", # 53
"[Raudra=, ラウドラ=, _IAST_]", # 54
"[Durmati=, ドゥルマティ=, _IAST_]", # 55
"[Dundubhi=, ドゥンドゥビ=, _IAST_]", # 56
"[Rudhirodgārin=, ルディロードガーリン=, _IAST_]", # 57
"[Raktākṣin=, ラクタークシン=, _IAST_]", # 58
"[Krodhana=, クローダナ=, _IAST_]", # 59
"[Kṣaya=, クシャヤ=, _IAST_]" # 60
]
],
# 月の暦注 ----------------------------
[When::BasicTypes::M17n,
"names:[month]",
[When::BasicTypes::M17n,
"names:[Month]"
]
],
# 日の暦注 ----------------------------
[When::BasicTypes::M17n,
"names:[day]",
[When::BasicTypes::M17n,
"names:[tithi=, ティティ=ja:%%<ティティ>]",
"[Amavasya, 新月, _IAST_]", # 新月
"[Pratipad=en:Prathama_(day), １日=, _IAST_]", # 1
"[Dwitiya, ２日=, _IAST_]", # 2
"[Tritiya, ３日=, _IAST_]", # 3
"[Chaturthi, ４日=, _IAST_]", # 4
"[Panchami, ５日=, _IAST_]", # 5
"[Ṣaṣṭhī=en:Shashti, ６日=, _IAST_]", # 6
"[Saptami, ７日=, _IAST_]", # 7
"[Ashtami, ８日=, _IAST_]", # 8
"[Navami, ９日=, _IAST_]", # 9
"[Dashami, 10日=, _IAST_]", # 10
"[Ekadashi, 11日=, _IAST_]", # 11
"[Dwadashi, 12日=, _IAST_]", # 12
"[Thrayodashi, 13日=, _IAST_]", # 13
"[Chaturdashi, 14日=, _IAST_]", # 14
"[Purnima, 満月, _IAST_]" # 満月
],
[When::BasicTypes::M17n,
"names:[vāra=, ヴァーラ=, _IAST_, *vara=]",
"[Ravi=en:S%C5%ABrya, 日曜日, _IAST_]",
"[Soma, 月曜日, _IAST_]",
"[Maṅgala=en:Mangala, 火曜日, _IAST_]",
"[Budha, 水曜日, _IAST_]",
"[Guru, 木曜日, _IAST_]",
"[Śukra=en:Shukra, 金曜日, _IAST_]",
"[Śani=en:Shani, 土曜日, _IAST_]"
],