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(.module:
  [lux #*
   [abstract
    [equivalence (#+ Equivalence)]
    [order (#+ Order)]
    [enum (#+ Enum)]
    [codec (#+ Codec)]
    [monad (#+ Monad do)]]
   [control
    [io (#+ IO io)]
    ["." try]
    ["." exception (#+ exception:)]
    ["<>" parser
     ["<t>" text (#+ Parser)]]]
   [data
    ["." maybe]
    [number
     ["i" int]]
    ["." text ("#\." monoid)]
    [collection
     ["." row]]]
   [type
    abstract]]
  ["." // (#+ Time)
   ["." duration (#+ Duration)]
   ["." year (#+ Year)]
   ["." month (#+ Month)]
   ["." day (#+ Day)]
   ["." date (#+ Date)]])

(abstract: #export Instant
  Int

  {#.doc "Instant is defined as milliseconds since the epoch."}

  (def: #export from-millis
    (-> Int Instant)
    (|>> :abstraction))

  (def: #export to-millis
    (-> Instant Int)
    (|>> :representation))

  (def: #export (span from to)
    (-> Instant Instant Duration)
    (duration.from-millis (i.- (:representation from) (:representation to))))

  (def: #export (shift duration instant)
    (-> Duration Instant Instant)
    (:abstraction (i.+ (duration.to-millis duration) (:representation instant))))

  (def: #export (relative instant)
    (-> Instant Duration)
    (|> instant :representation duration.from-millis))

  (def: #export (absolute offset)
    (-> Duration Instant)
    (|> offset duration.to-millis :abstraction))

  (structure: #export equivalence
    (Equivalence Instant)
    
    (def: (= param subject)
      (\ i.equivalence = (:representation param) (:representation subject))))

  (structure: #export order
    (Order Instant)
    
    (def: &equivalence ..equivalence)
    (def: (< param subject)
      (\ i.order < (:representation param) (:representation subject))))

  (`` (structure: #export enum
        (Enum Instant)
        
        (def: &order ..order)
        (~~ (template [<name>]
              [(def: <name>
                 (|>> :representation (\ i.enum <name>) :abstraction))]

              [succ] [pred]
              ))))
  )

(def: #export epoch
  {#.doc "The instant corresponding to 1970-01-01T00:00:00Z"}
  Instant
  (..from-millis +0))

(def: millis-per-day
  (duration.query duration.milli-second duration.day))

(def: (date-time instant)
  (-> Instant [Date Duration])
  (let [offset (..to-millis instant)
        bce? (i.< +0 offset)
        [days day-time] (if bce?
                          (let [[days millis] (i./% ..millis-per-day offset)]
                            (case millis
                              +0 [days millis]
                              _ [(dec days) (i.+ ..millis-per-day millis)]))
                          (i./% ..millis-per-day offset))]
    [(date.from-days days)
     (duration.from-millis day-time)]))

(template [<value> <definition>]
  [(def: <definition> Text <value>)]

  ["T" date-suffix]
  ["Z" time-suffix]
  )

(def: (clock-time duration)
  (-> Duration Time)
  (let [time (if (\ duration.order < duration.empty duration)
               (duration.merge duration.day duration)
               duration)]
    (|> time duration.to-millis .nat //.from-millis try.assume)))

(def: (encode instant)
  (-> Instant Text)
  (let [[date time] (..date-time instant)
        time (..clock-time time)]
    ($_ text\compose
        (\ date.codec encode date) ..date-suffix
        (\ //.codec encode time) ..time-suffix)))

(def: parser
  (Parser Instant)
  (do {! <>.monad}
    [days (\ ! map date.days date.parser)
     _ (<t>.this ..date-suffix)
     time (\ ! map //.to-millis //.parser)
     _ (<t>.this ..time-suffix)]
    (wrap (|> (if (i.< +0 days)
                (|> duration.day
                    (duration.scale-up (.nat (i.* -1 days)))
                    duration.inverse)
                (duration.scale-up (.nat days) duration.day))
              (duration.merge (duration.scale-up time duration.milli-second))
              ..absolute))))

(structure: #export codec
  {#.doc (doc "Based on ISO 8601."
              "For example: 2017-01-15T21:14:51.827Z")}
  (Codec Text Instant)
  
  (def: encode ..encode)
  (def: decode (<t>.run ..parser)))

(def: #export now
  (IO Instant)
  (io (..from-millis ("lux io current-time"))))

(template [<field> <type> <post-processing>]
  [(def: #export (<field> instant)
     (-> Instant <type>)
     (let [[date time] (..date-time instant)]
       (|> <field> <post-processing>)))]

  [date Date (|>)]
  [time Time ..clock-time]
  )

(def: #export (day-of-week instant)
  (-> Instant Day)
  (let [offset (..relative instant)
        days (duration.query duration.day offset)
        day-time (duration.frame duration.day offset)
        days (if (and (duration.negative? offset)
                      (not (duration.neutral? day-time)))
               (dec days)
               days)
        ## 1970/01/01 was a Thursday
        y1970m0d0 +4]
    (case (|> y1970m0d0
              (i.+ days) (i.% +7)
              ## This is done to turn negative days into positive days.
              (i.+ +7) (i.% +7))
      +0 #day.Sunday
      +1 #day.Monday
      +2 #day.Tuesday
      +3 #day.Wednesday
      +4 #day.Thursday
      +5 #day.Friday
      +6 #day.Saturday
      _ (undefined))))