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      • 1a: Basic Arithmetic
      • 1b: Tree Addressing
      • 1c: Molds and Mold-Builders
      • 2a: Unit Logic
      • 2b: List Logic
      • 2c: Bit Arithmetic
      • 2d: Bit Logic
      • 2e: Insecure Hashing
      • 2f: Noun Ordering
      • 2g: Unsigned Powers
      • 2h: Set Logic
      • 2i: Map Logic
      • 2j: Jar and Jug Logic
      • 2k: Queue Logic
      • 2l: Container from Container
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      • 2n: Functional Hacks
      • 2o: Normalizing Containers
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      • 2q: Molds and Mold-Builders
      • 3a: Modular and Signed Ints
      • 3b: Floating Point
      • 3c: Urbit Time
      • 3d: SHA Hash Family
      • 3e: AES encryption (Removed)
      • 3f: Scrambling
      • 3g: Molds and Mold-Builders
      • 4a: Exotic Bases
      • 4b: Text Processing
      • 4c: Tank Printer
      • 4d: Parsing (Tracing)
      • 4e: Parsing (Combinators)
      • 4f: Parsing (Rule-Builders)
      • 4g: Parsing (Outside Caller)
      • 4h: Parsing (ASCII Glyphs)
      • 4i: Parsing (Useful Idioms)
      • 4j: Parsing (Bases and Base Digits)
      • 4k: Atom Printing
      • 4l: Atom Parsing
      • 4m: Formatting Functions
      • 4n: Virtualization
      • 4o: Molds
      • 5a: Compiler Utilities
      • 5b: Macro Expansion
      • 5c: Compiler Backend & Prettyprinter
      • 5d: Parser
      • 5e: Molds and mold builders
      • 5f: Profiling support
      • Runes

        • Atoms and strings
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            • Table of Contents
            • 2d(1-5): To JSON, Wains
            • 2d(6): From JSON
            • 2d(7): From JSON (unit)
            • 2e(2-3): Print & Parse JSON
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                                                    • 1a: Basic Arithmetic
                                                    • 1b: Tree Addressing
                                                    • 1c: Molds and Mold-Builders
                                                    • 2a: Unit Logic
                                                    • 2b: List Logic
                                                    • 2c: Bit Arithmetic
                                                    • 2d: Bit Logic
                                                    • 2e: Insecure Hashing
                                                    • 2f: Noun Ordering
                                                    • 2g: Unsigned Powers
                                                    • 2h: Set Logic
                                                    • 2i: Map Logic
                                                    • 2j: Jar and Jug Logic
                                                    • 2k: Queue Logic
                                                    • 2l: Container from Container
                                                    • 2m: Container from Noun
                                                    • 2n: Functional Hacks
                                                    • 2o: Normalizing Containers
                                                    • 2p: Serialization
                                                    • 2q: Molds and Mold-Builders
                                                    • 3a: Modular and Signed Ints
                                                    • 3b: Floating Point
                                                    • 3c: Urbit Time
                                                    • 3d: SHA Hash Family
                                                    • 3e: AES encryption (Removed)
                                                    • 3f: Scrambling
                                                    • 3g: Molds and Mold-Builders
                                                    • 4a: Exotic Bases
                                                    • 4b: Text Processing
                                                    • 4c: Tank Printer
                                                    • 4d: Parsing (Tracing)
                                                    • 4e: Parsing (Combinators)
                                                    • 4f: Parsing (Rule-Builders)
                                                    • 4g: Parsing (Outside Caller)
                                                    • 4h: Parsing (ASCII Glyphs)
                                                    • 4i: Parsing (Useful Idioms)
                                                    • 4j: Parsing (Bases and Base Digits)
                                                    • 4k: Atom Printing
                                                    • 4l: Atom Parsing
                                                    • 4m: Formatting Functions
                                                    • 4n: Virtualization
                                                    • 4o: Molds
                                                    • 5a: Compiler Utilities
                                                    • 5b: Macro Expansion
                                                    • 5c: Compiler Backend & Prettyprinter
                                                    • 5d: Parser
                                                    • 5e: Molds and mold builders
                                                    • 5f: Profiling support
                                                    • Runes

                                                      • Atoms and strings
                                                      • Nock . ('dot')
                                                      • Wild ! ('zap')
                                                      • Change Subject = ('tis')
                                                      • Conditionals ? ('wut')
                                                      • Cores | ('bar')
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                                                      • Structures $ ('buc')
                                                      • Make ; ('mic')
                                                      • Hints ~ ('sig')
                                                      • Imports / ('fas')
                                                      • Terminators -- and ==
                                                      • Limbs and wings

                                                        • Limbs
                                                        • Wings
                                                        • Zuse

                                                          • Table of Contents
                                                          • 2d(1-5): To JSON, Wains
                                                          • 2d(6): From JSON
                                                          • 2d(7): From JSON (unit)
                                                          • 2e(2-3): Print & Parse JSON
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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 October 31, 2022