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                                                      • 2q: Molds and Mold-Builders
                                                      • 3a: Modular and Signed Ints
                                                      • 3b: Floating Point
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                                                                                                  Reference/Hoon/Standard Library

                                                                                                  3c: Urbit Time

                                                                                                  ++year

                                                                                                  Date to @da

                                                                                                  Accept a parsed date of form [[a=? y=@ud] m=@ud t=tarp] and produce its @da representation.

                                                                                                  Accepts

                                                                                                  det is a date

                                                                                                  Produces

                                                                                                  A @da.

                                                                                                  Source

                                                                                                  ++ year
                                                                                                  |= det=date
                                                                                                  ^- @da
                                                                                                  =+ ^= yer
                                                                                                  ?: a.det
                                                                                                  (add 292.277.024.400 y.det)
                                                                                                  (sub 292.277.024.400 (dec y.det))
                                                                                                  =+ day=(yawn yer m.det d.t.det)
                                                                                                  (yule day h.t.det m.t.det s.t.det f.t.det)

                                                                                                  Examples

                                                                                                  > (year [[a=%.y y=2.014] m=8 t=[d=4 h=20 m=4 s=57 f=~[0xd940]]])
                                                                                                  ~2014.8.4..20.04.57..d940

                                                                                                  ++yore

                                                                                                  Date from atomic date

                                                                                                  Produces a date from a @da.

                                                                                                  Accepts

                                                                                                  now is a time atom, @da.

                                                                                                  Produces

                                                                                                  A date.

                                                                                                  Source

                                                                                                  ++ yore
                                                                                                  |= now=@da
                                                                                                  ^- date
                                                                                                  =+ rip=(yell now)
                                                                                                  =+ ger=(yall d.rip)
                                                                                                  :- ?: (gth y.ger 292.277.024.400)
                                                                                                  [a=& y=(sub y.ger 292.277.024.400)]
                                                                                                  [a=| y=+((sub 292.277.024.400 y.ger))]
                                                                                                  [m.ger d.ger h.rip m.rip s.rip f.rip]

                                                                                                  Examples

                                                                                                  > (yore ~2014.6.6..21.09.15..0a16)
                                                                                                  [[a=%.y y=2.014] m=6 t=[d=6 h=21 m=9 s=15 f=~[0xa16]]]

                                                                                                  ++yell

                                                                                                  Tarp from atomic date

                                                                                                  Produce a $tarp time format from a@da.

                                                                                                  Accepts

                                                                                                  now is a @da.

                                                                                                  Produces

                                                                                                  A tarp.

                                                                                                  Source

                                                                                                  ++ yell
                                                                                                  |= now=@d
                                                                                                  ^- tarp
                                                                                                  =+ sec=(rsh 6 now)
                                                                                                  =+ ^= fan
                                                                                                  =+ [muc=4 raw=(end 6 now)]
                                                                                                  |- ^- (list @ux)
                                                                                                  ?: |(=(0 raw) =(0 muc))
                                                                                                  ~
                                                                                                  => .(muc (dec muc))
                                                                                                  [(cut 4 [muc 1] raw) $(raw (end [4 muc] raw))]
                                                                                                  =+ day=(div sec day:yo)
                                                                                                  => .(sec (mod sec day:yo))
                                                                                                  =+ hor=(div sec hor:yo)
                                                                                                  => .(sec (mod sec hor:yo))
                                                                                                  =+ mit=(div sec mit:yo)
                                                                                                  => .(sec (mod sec mit:yo))
                                                                                                  [day hor mit sec fan]

                                                                                                  Examples

                                                                                                  > (yell ~2014.3.20..05.42.53..7456)
                                                                                                  [d=106.751.991.820.094 h=5 m=42 s=53 f=~[0x7456]]
                                                                                                  > (yell ~2014.6.9..19.09.40..8b66)
                                                                                                  [d=106.751.991.820.175 h=19 m=9 s=40 f=~[0x8b66]]
                                                                                                  > (yell ~1776.7.4)
                                                                                                  [d=106.751.991.733.273 h=0 m=0 s=0 f=~]

                                                                                                  ++yule

                                                                                                  Daily time to time atom

                                                                                                  Accepts a $tarp, a parsed daily time, and produces a @da.

                                                                                                  Accepts

                                                                                                  rip is a tarp.

                                                                                                  Produces

                                                                                                  A time atom, @da.

                                                                                                  Source

                                                                                                  ++ yule
                                                                                                  |= rip=tarp
                                                                                                  ^- @d
                                                                                                  =+ ^= sec ;: add
                                                                                                  (mul d.rip day:yo)
                                                                                                  (mul h.rip hor:yo)
                                                                                                  (mul m.rip mit:yo)
                                                                                                  s.rip
                                                                                                  ==
                                                                                                  =+ ^= fac =+ muc=4
                                                                                                  |- ^- @
                                                                                                  ?~ f.rip
                                                                                                  0
                                                                                                  => .(muc (dec muc))
                                                                                                  (add (lsh [4 muc] i.f.rip) $(f.rip t.f.rip))
                                                                                                  (con (lsh 6 sec) fac)

                                                                                                  Examples

                                                                                                  > =murica (yell ~1776.7.4)
                                                                                                  > murica
                                                                                                  [d=106.751.991.733.273 h=0 m=0 s=0 f=~]
                                                                                                  > (yule murica)
                                                                                                  0x8000000b62aaf5800000000000000000
                                                                                                  > `@da`(yule murica)
                                                                                                  ~1776.7.4
                                                                                                  > `@da`(yule (yell ~2014.3.20..05.42.53..7456))
                                                                                                  ~2014.3.20..05.42.53..7456
                                                                                                  > `tarp`[31 12 30 0 ~]
                                                                                                  [d=31 h=12 m=30 s=0 f=~]
                                                                                                  > `@dr`(yule `tarp`[31 12 30 0 ~])
                                                                                                  ~d31.h12.m30

                                                                                                  ++yall

                                                                                                  Time since beginning of time

                                                                                                  Produce the date tuple of [y=@ud m=@ud d=@ud] of the year, month, and day from a number of days from the beginning of the Gregorian calendar.

                                                                                                  Accepts

                                                                                                  day is a @ud.

                                                                                                  Produces

                                                                                                  A cell of unsigned decimals.

                                                                                                  Source

                                                                                                  ++ yall
                                                                                                  |= day=@ud
                                                                                                  ^- [y=@ud m=@ud d=@ud]
                                                                                                  =+ [era=0 cet=0 lep=*?]
                                                                                                  => .(era (div day era:yo), day (mod day era:yo))
                                                                                                  => ^+ .
                                                                                                  ?: (lth day +(cet:yo))
                                                                                                  .(lep &, cet 0)
                                                                                                  => .(lep |, cet 1, day (sub day +(cet:yo)))
                                                                                                  .(cet (add cet (div day cet:yo)), day (mod day cet:yo))
                                                                                                  =+ yer=(add (mul 400 era) (mul 100 cet))
                                                                                                  |- ^- [y=@ud m=@ud d=@ud]
                                                                                                  =+ dis=?:(lep 366 365)
                                                                                                  ?. (lth day dis)
                                                                                                  =+ ner=+(yer)
                                                                                                  $(yer ner, day (sub day dis), lep =(0 (end [0 2] ner)))
                                                                                                  |- ^- [y=@ud m=@ud d=@ud]
                                                                                                  =+ [mot=0 cah=?:(lep moy:yo moh:yo)]
                                                                                                  |- ^- [y=@ud m=@ud d=@ud]
                                                                                                  =+ zis=(snag mot cah)
                                                                                                  ?: (lth day zis)
                                                                                                  [yer +(mot) +(day)]
                                                                                                  $(mot +(mot), day (sub day zis))

                                                                                                  Examples

                                                                                                  > (yall 198)
                                                                                                  [y=0 m=7 d=17]
                                                                                                  > (yall 90.398)
                                                                                                  [y=247 m=7 d=3]
                                                                                                  > (yall 0)
                                                                                                  [y=0 m=1 d=1]

                                                                                                  ++yawn

                                                                                                  Days since beginning of time

                                                                                                  Inverse of yall, computes number of days A.D. from y/m/d date as the tuple [yer=@ud mot=@ud day=@ud].

                                                                                                  Accepts

                                                                                                  yer is an unsigned decimal.

                                                                                                  mon is an unsigned decimal.

                                                                                                  day is an unsigned decimal.

                                                                                                  Produces

                                                                                                  An unsigned decimal.

                                                                                                  Source

                                                                                                  ++ yawn
                                                                                                  |= [yer=@ud mot=@ud day=@ud]
                                                                                                  ^- @ud
                                                                                                  => .(mot (dec mot), day (dec day))
                                                                                                  => ^+ .
                                                                                                  %= .
                                                                                                  day
                                                                                                  =+ cah=?:((yelp yer) moy:yo moh:yo)
                                                                                                  |- ^- @ud
                                                                                                  ?: =(0 mot)
                                                                                                  day
                                                                                                  $(mot (dec mot), cah (slag 1 cah), day (add day (snag 0 cah)))
                                                                                                  ==
                                                                                                  |- ^- @ud
                                                                                                  ?. =(0 (mod yer 4))
                                                                                                  =+ ney=(dec yer)
                                                                                                  $(yer ney, day (add day ?:((yelp ney) 366 365)))
                                                                                                  ?. =(0 (mod yer 100))
                                                                                                  =+ nef=(sub yer 4)
                                                                                                  $(yer nef, day (add day ?:((yelp nef) 1.461 1.460)))
                                                                                                  ?. =(0 (mod yer 400))
                                                                                                  =+ nec=(sub yer 100)
                                                                                                  $(yer nec, day (add day ?:((yelp nec) 36.525 36.524)))
                                                                                                  (add day (mul (div yer 400) (add 1 (mul 4 36.524))))

                                                                                                  Examples

                                                                                                  > (yawn 2.018 7 4)
                                                                                                  737.244
                                                                                                  > (yawn 1.776 7 4)
                                                                                                  648.856
                                                                                                  > (yawn 1.990 10 11)
                                                                                                  727.116

                                                                                                  ++yelp

                                                                                                  Leap year?

                                                                                                  Determines whether a year is a leap year. Produces a flag.

                                                                                                  Accepts

                                                                                                  yer is an unsigned decimal.

                                                                                                  Produces

                                                                                                  A flag.

                                                                                                  Source

                                                                                                  ++ yelp
                                                                                                  |= yer=@ud ^- ?
                                                                                                  &(=(0 (mod yer 4)) |(!=(0 (mod yer 100)) =(0 (mod yer 400))))

                                                                                                  Examples

                                                                                                  > (yelp 2.014)
                                                                                                  %.n
                                                                                                  > (yelp 2.008)
                                                                                                  %.y
                                                                                                  > (yelp 0)
                                                                                                  %.y
                                                                                                  > (yelp 14.011)
                                                                                                  %.n

                                                                                                  ++yo

                                                                                                  Time constants core

                                                                                                  Core whose arms contain constants for interacting with earth time.

                                                                                                  Source

                                                                                                  ++ yo

                                                                                                  ++cet:yo

                                                                                                  Days in a century

                                                                                                  Derived by multiplying the number of days in a year (365) by the number of years in a century (100), then adding the number days from leap-years in a century (24).

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ cet 36.524

                                                                                                  Examples

                                                                                                  > cet:yo
                                                                                                  36.524
                                                                                                  > (add 365 cet:yo)
                                                                                                  36.889
                                                                                                  > (sub (add 24 (mul 100 365)) cet:yo)
                                                                                                  0

                                                                                                  ++day:yo

                                                                                                  Seconds in day

                                                                                                  The number of seconds in a day.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ day 86.400

                                                                                                  Examples

                                                                                                  > day:yo
                                                                                                  86.400
                                                                                                  > (add 60 day:yo)
                                                                                                  86.460

                                                                                                  ++era:yo

                                                                                                  Leap-year period

                                                                                                  The number of days in a 400-year period, arrived at by multiplying cet by four and adding one. This is done because every 400 years, there is a leap-year where there would otherwise not be.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ era 146.097

                                                                                                  Examples

                                                                                                  > era:yo
                                                                                                  146.097
                                                                                                  > (sub era:yo (mul 4 cet:yo))
                                                                                                  1

                                                                                                  Discussion

                                                                                                  A year is a leap-year if:

                                                                                                  • it's divisible by 4;
                                                                                                  • unless it's divisible by 100;
                                                                                                  • or if it's divisible by 400.

                                                                                                  ++hor:yo

                                                                                                  Seconds in hour

                                                                                                  The number of seconds in an hour. Derived by multiplying the number of seconds in a minute by the minutes in an hour.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ hor 3.600

                                                                                                  Examples

                                                                                                  > hor:yo
                                                                                                  3.600
                                                                                                  > (div hor:yo 60)
                                                                                                  60

                                                                                                  ++jes:yo

                                                                                                  Maximum 64-bit timestamp

                                                                                                  This is the number of days (starting from 1970) that can be represented in a 64-bit timestamp. Derived by multiplying era:yo by 730,692,561.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ jes 106.751.991.084.417

                                                                                                  Examples

                                                                                                  > jes:yo
                                                                                                  106.751.991.084.417

                                                                                                  Discussion

                                                                                                  The date is December 4, 292,277,026,596.


                                                                                                  ++mit:yo

                                                                                                  Seconds in minute

                                                                                                  The number of seconds in a minute.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ mit 60

                                                                                                  Examples

                                                                                                  > mit:yo
                                                                                                  60

                                                                                                  ++moh:yo

                                                                                                  Days in month

                                                                                                  The days in each month of the Gregorian common year. A list of unsigned decimal atoms (Either 28, 30, or 31) denoting the number of days in the month at the year at that index.

                                                                                                  Produces

                                                                                                  A list of @ud

                                                                                                  Source

                                                                                                  ++ moh `(list @ud)`[31 28 31 30 31 30 31 31 30 31 30 31 ~]

                                                                                                  Examples

                                                                                                  > moh:yo
                                                                                                  ~[31 28 31 30 31 30 31 31 30 31 30 31]
                                                                                                  > (snag 4 moh:yo)
                                                                                                  31

                                                                                                  ++moy:yo

                                                                                                  Days in months of leap-year

                                                                                                  The days in each month of the Gregorian leap-year. A list of unsigned decimal atoms (Either 29, 30, or 31) denoting the number of days in the month at the leap-year at that index.

                                                                                                  Produces

                                                                                                  A list of @ud.

                                                                                                  Source

                                                                                                  ++ moy `(list @ud)`[31 29 31 30 31 30 31 31 30 31 30 31 ~]

                                                                                                  Examples

                                                                                                  > moy:yo
                                                                                                  ~[31 29 31 30 31 30 31 31 30 31 30 31]
                                                                                                  > (snag 1 moy:yo)
                                                                                                  29

                                                                                                  ++qad:yo

                                                                                                  Seconds in 4 years

                                                                                                  The number of seconds in four years. Derived by adding one second to the number of seconds in four years.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ qad 126.144.001

                                                                                                  Examples

                                                                                                  > qad:yo
                                                                                                  126.144.001

                                                                                                  ++yer:yo

                                                                                                  Seconds in year

                                                                                                  The number of seconds in a year. Derived by multiplying the number of seconds in a day by 365.

                                                                                                  Produces

                                                                                                  An atom.

                                                                                                  Source

                                                                                                  ++ yer 31.536.000

                                                                                                  Examples

                                                                                                  > yer:yo
                                                                                                  31.536.000

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                                                                                                  Last modified August 30, 2023