urbit/lib/number-to-words.hoon
rovdyl 638afd8995 reorganize namespacing
specify eng-us region and make room for future ordinal conversion
2019-02-06 17:58:43 -06:00

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:: |number-to-words: conversion of unsigned integers to a tape
::
:: returns a unit because not all numbers can always be represented
::
|%
++ numbers
|%
++ ten 10
++ one-hundred 100
++ one-thousand (pow 10 3)
++ one-million (pow 10 6)
++ one-billion (pow 10 9)
++ one-trillion (pow 10 12)
++ one-quadrillion (pow 10 15)
++ one-quintillion (pow 10 18)
++ one-sextillion (pow 10 21)
++ one-septillion (pow 10 24)
++ one-octillion (pow 10 27)
++ one-nonillion (pow 10 30)
++ one-decillion (pow 10 33)
++ one-undecillion (pow 10 36)
++ one-duodecillion (pow 10 39)
++ one-tredecillion (pow 10 42)
++ one-quattuordecillion (pow 10 45)
++ one-quindecillion (pow 10 48)
++ one-sexdecillion (pow 10 51)
++ one-septendecillion (pow 10 54)
++ one-octodecillion (pow 10 57)
++ one-novemdecillion (pow 10 60)
++ one-vigintillion (pow 10 63)
++ max (pow 10 66)
--
++ eng-us
|%
++ to-words
|= num=@u
^- (unit tape)
=+ numbers
?: (gte num max)
~
:- ~
|-
^- tape
:: 0-19
?: =(num 0) "zero"
?: =(num 1) "one"
?: =(num 2) "two"
?: =(num 3) "three"
?: =(num 4) "four"
?: =(num 5) "five"
?: =(num 6) "six"
?: =(num 7) "seven"
?: =(num 8) "eight"
?: =(num 9) "nine"
?: =(num 10) "ten"
?: =(num 11) "eleven"
?: =(num 12) "twelve"
?: =(num 13) "thirteen"
?: =(num 14) "fourteen"
?: =(num 15) "fifteen"
?: =(num 16) "sixteen"
?: =(num 17) "seventeen"
?: =(num 18) "eighteen"
?: =(num 19) "nineteen"
:: 20-99
::
:: tpl: tens place
:: rem: ones place
:: sfx: suffix
::
=/ tpl (div num ten)
=/ rem (mod num ten)
=/ sfx
?: |(=(rem 0) (gte tpl 10))
~
['-' $(num rem)]
?: =(tpl 2) (weld "twenty" sfx)
?: =(tpl 3) (weld "thirty" sfx)
?: =(tpl 4) (weld "forty" sfx)
?: =(tpl 5) (weld "fifty" sfx)
?: =(tpl 6) (weld "sixty" sfx)
?: =(tpl 7) (weld "seventy" sfx)
?: =(tpl 8) (weld "eighty" sfx)
?: =(tpl 9) (weld "ninety" sfx)
:: 100-max
::
:: num-break: repeated pattern from 100 on
::
=/ num-break
::
:: min: minimum to qualify for this break
:: str: english word for this break
::
|= [min=@u str=tape]
=/ rem (mod num min)
;: weld
^$(num (div num min))
[' ' str]
?: =(rem 0)
~
%+ weld
?:((lth rem one-hundred) " and " ", ")
^$(num rem)
==
::
?: (lth num one-thousand)
(num-break one-hundred "hundred")
?: (lth num one-million)
(num-break one-thousand "thousand")
?: (lth num one-billion)
(num-break one-million "million")
?: (lth num one-trillion)
(num-break one-billion "billion")
?: (lth num one-quadrillion)
(num-break one-trillion "trillion")
?: (lth num one-quintillion)
(num-break one-quadrillion "quadrillion")
?: (lth num one-sextillion)
(num-break one-quintillion "quintillion")
?: (lth num one-septillion)
(num-break one-sextillion "sextillion")
?: (lth num one-octillion)
(num-break one-septillion "septillion")
?: (lth num one-nonillion)
(num-break one-octillion "octillion")
?: (lth num one-decillion)
(num-break one-nonillion "nonillion")
?: (lth num one-undecillion)
(num-break one-decillion "decillion")
?: (lth num one-duodecillion)
(num-break one-undecillion "undecillion")
?: (lth num one-tredecillion)
(num-break one-duodecillion "duodecillion")
?: (lth num one-quattuordecillion)
(num-break one-tredecillion "tredecillion")
?: (lth num one-quindecillion)
(num-break one-quattuordecillion "quattuordecillion")
?: (lth num one-sexdecillion)
(num-break one-quindecillion "quindecillion")
?: (lth num one-septendecillion)
(num-break one-sexdecillion "sexdecillion")
?: (lth num one-octodecillion)
(num-break one-septendecillion "septendecillion")
?: (lth num one-novemdecillion)
(num-break one-octodecillion "octodecillion")
?: (lth num one-vigintillion)
(num-break one-novemdecillion "novemdecillion")
(num-break one-vigintillion "vigintillion")
--
--