Mayan numerals
You are encouraged to solve this task according to the task description, using any language you may know.
- Task
Present numbers using the Mayan numbering system (displaying the Mayan numerals in a cartouche).
- Mayan numbers
Normally, Mayan numbers are written vertically (top─to─bottom) with the most significant numeral at the top (in the sense that decimal numbers are written left─to─right with the most significant digit at the left). This task will be using a left─to─right (horizontal) format, mostly for familiarity and readability, and to conserve screen space (when showing the output) on this task page.
- Mayan numerals
Mayan numerals (a base─20 "digit" or glyph) are written in two orientations, this task will be using the "vertical" format (as displayed below). Using the vertical format makes it much easier to draw/construct the Mayan numerals (glyphs) with simple dots (.) and hyphen (-); (however, round bullets (∙) and long dashes (─) make a better presentation on Rosetta Code).
Furthermore, each Mayan numeral (for this task) is to be displayed as a
cartouche (enclosed in a box) to make it easier to parse (read); the box may be
drawn with any suitable (ASCII or Unicode) characters that are presentable/visible in all web browsers.
- Mayan numerals added to Unicode
Mayan numerals (glyphs) were added to the Unicode Standard in June of 2018 (this corresponds with version 11.0). But since most web browsers don't support them at this time, this Rosetta Code task will be constructing the glyphs with "simple" characters and/or ASCII art.
- The "zero" glyph
The Mayan numbering system has the concept of zero, and should be shown by a glyph that represents an upside─down (sea) shell, or an egg. The Greek letter theta (Θ) can be used (which more─or─less, looks like an egg). A commercial at symbol (@) could make a poor substitute.
- Mayan glyphs (constructed)
The Mayan numbering system is a [vigesimal (base 20)] positional numeral system.
- The Mayan numerals (and some random numbers) shown in the vertical format would be shown as
╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ∙ ║ ║ ║ ║ 1──► ║ ║ 11──► ║────║ 21──► ║ ║ ║ ║ ∙ ║ ║────║ ║ ∙ ║ ∙ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ∙∙ ║ ║ ║ ║ 2──► ║ ║ 12──► ║────║ 22──► ║ ║ ║ ║ ∙∙ ║ ║────║ ║ ∙ ║ ∙∙ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║∙∙∙ ║ ║ ║ ║ 3──► ║ ║ 13──► ║────║ 40──► ║ ║ ║ ║∙∙∙ ║ ║────║ ║ ∙∙ ║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║∙∙∙∙║ ║ ║ ║ 4──► ║ ║ 14──► ║────║ 80──► ║ ║ ║ ║∙∙∙∙║ ║────║ ║∙∙∙∙║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ 5──► ║ ║ 15──► ║────║ 90──► ║ ║────║ ║────║ ║────║ ║∙∙∙∙║────║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ∙ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ 6──► ║ ∙ ║ 16──► ║────║ 100──► ║ ║ ║ ║────║ ║────║ ║────║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║ ∙∙ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ 7──► ║ ∙∙ ║ 17──► ║────║ 200──► ║────║ ║ ║────║ ║────║ ║────║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╗ ║ ║ ║∙∙∙ ║ ║ ║ ║ ║ ║ ║────║ 300──► ║────║ ║ 8──► ║∙∙∙ ║ 18──► ║────║ ║────║ ║ ║────║ ║────║ ║────║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╝ ╔════╗ ╔════╗ ╔════╦════╦════╗ ║ ║ ║∙∙∙∙║ ║ ║ ║ ║ ║ ║ ║────║ 400──► ║ ║ ║ ║ 9──► ║∙∙∙∙║ 19──► ║────║ ║ ║ ║ ║ ║────║ ║────║ ║ ∙ ║ Θ ║ Θ ║ ╚════╝ ╚════╝ ╚════╩════╩════╝ ╔════╗ ╔════╦════╗ ╔════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ 10──► ║────║ 20──► ║ ║ ║ 16,000──► ║ ║ ║ ║ ║ ║────║ ║ ∙ ║ Θ ║ ║ ∙∙ ║ Θ ║ Θ ║ Θ ║ ╚════╝ ╚════╩════╝ ╚════╩════╩════╩════╝
Note that the Mayan numeral 13 in horizontal format would be shown as:
╔════╗ ║ ││║ ║ ∙││║ 13──► ║ ∙││║ ◄─── this glyph form won't be used in this Rosetta Code task. ║ ∙││║ ╚════╝
Other forms of cartouches (boxes) can be used for this task.
- Task requirements
-
- convert the following decimal numbers to Mayan numbers:
- 4,005
- 8,017
- 326,205
- 886,205
- show a unique interesting/pretty/unusual/intriguing/odd/amusing/weird Mayan number
- show all output here
- Related tasks
-
- Roman numerals/Encode ─── convert numeric values into Roman numerals
- Roman numerals/Decode ─── convert Roman numerals into Arabic numbers
- See also
-
- The Wikipedia entry: [Mayan numerals]
AppleScript
Applescript supports only small integers (up to (2^29)-1 = 536870911). <lang applescript>use AppleScript version "2.4" use framework "Foundation" use scripting additions
-- MAYAN NUMBERS ------------------------------------------
-- mayanNumber:: Int -> String on mayanNumber(n)
showIntAtBase(20, my mayanDigit, n, {})
end mayanNumber
-- mayanDigit :: Int -> String on mayanDigit(n)
if 0 < n then set r to n mod 5 bool({}, {concat(replicate(r, "●"))}, 0 < r) & ¬ replicate(n div 5, "━━") else {"Θ"} end if
end mayanDigit
-- mayanFrame :: Int -> String on mayanFrame(n)
"Mayan " & (n as string) & ":\n" & wikiTable({|class|:¬ "wikitable", colwidth:¬ "3em", cell:¬ "vertical-align:bottom;", |style|:¬ "text-align:center;background-color:#F0EDDE;" & ¬ "color:#605B4B;border:2px solid silver"})'s ¬ |λ|({map(intercalateS("
"), mayanNumber(n))}) & "\n"
end mayanFrame
-- TEST ---------------------------------------------------
on run
set str to unlines(map(mayanFrame, ¬ {4005, 8017, 326205, 886205, 2978480})) set the clipboard to (str) return str
end run
-- GENERIC ------------------------------------------------
-- Just :: a -> Maybe a on Just(x)
{type:"Maybe", Nothing:false, Just:x}
end Just
-- Nothing :: Maybe a on Nothing()
{type:"Maybe", Nothing:true}
end Nothing
-- Tuple (,) :: a -> b -> (a, b) on Tuple(a, b)
{type:"Tuple", |1|:a, |2|:b, length:2}
end Tuple
-- bool :: a -> a -> Bool -> a on bool(f, t, p)
if p then t else f end if
end bool
-- concat :: a -> [a] -- concat :: [String] -> String on concat(xs)
set lng to length of xs if 0 < lng and string is class of (item 1 of xs) then set acc to "" else set acc to {} end if repeat with i from 1 to lng set acc to acc & item i of xs end repeat acc
end concat
-- foldl :: (a -> b -> a) -> a -> [b] -> a on foldl(f, startValue, xs)
tell mReturn(f) set v to startValue set lng to length of xs repeat with i from 1 to lng set v to |λ|(v, item i of xs, i, xs) end repeat return v end tell
end foldl
-- intercalateS :: String -> [String] -> String on intercalateS(sep)
script on |λ|(xs) set {dlm, my text item delimiters} to {my text item delimiters, sep} set s to xs as text set my text item delimiters to dlm return s end |λ| end script
end intercalateS
-- lookupDict :: a -> Dict -> Maybe b on lookupDict(k, dct)
set ca to current application set v to (ca's NSDictionary's dictionaryWithDictionary:dct)'s objectForKey:k if missing value ≠ v then Just(item 1 of ((ca's NSArray's arrayWithObject:v) as list)) else Nothing() end if
end lookupDict
-- Lift 2nd class handler function into 1st class script wrapper -- mReturn :: First-class m => (a -> b) -> m (a -> b) on mReturn(f)
if class of f is script then f else script property |λ| : f end script end if
end mReturn
-- map :: (a -> b) -> [a] -> [b] on map(f, xs)
tell mReturn(f) set lng to length of xs set lst to {} repeat with i from 1 to lng set end of lst to |λ|(item i of xs, i, xs) end repeat return lst end tell
end map
-- | The 'maybe' function takes a default value, a function, and a 'Maybe'
-- value. If the 'Maybe' value is 'Nothing', the function returns the
-- default value. Otherwise, it applies the function to the value inside
-- the 'Just' and returns the result.
-- maybe :: b -> (a -> b) -> Maybe a -> b
on maybe(v, f, mb)
if Nothing of mb then v else tell mReturn(f) to |λ|(Just of mb) end if
end maybe
-- quotRem :: Int -> Int -> (Int, Int) on quotRem(m, n)
Tuple(m div n, m mod n)
end quotRem
-- Egyptian multiplication - progressively doubling a list, appending -- stages of doubling to an accumulator where needed for binary -- assembly of a target length -- replicate :: Int -> a -> [a] on replicate(n, a)
set out to {} if n < 1 then return out set dbl to {a} repeat while (n > 1) if (n mod 2) > 0 then set out to out & dbl set n to (n div 2) set dbl to (dbl & dbl) end repeat return out & dbl
end replicate
-- showIntAtBase :: Int -> (Int -> [String]) -> Int -> String -> String on showIntAtBase(base, toDigit, n, rs)
script showIt property f : mReturn(toDigit) on |λ|(nd_, r) set {n, d} to ({|1|, |2|} of nd_) set r_ to {f's |λ|(d)} & r if n > 0 then |λ|(quotRem(n, base), r_) else r_ end if end |λ| end script showIt's |λ|(quotRem(n, base), rs)
end showIntAtBase
-- unlines :: [String] -> String on unlines(xs)
set {dlm, my text item delimiters} to ¬ {my text item delimiters, linefeed} set str to xs as text set my text item delimiters to dlm str
end unlines
-- unwords :: [String] -> String on unwords(xs)
set {dlm, my text item delimiters} to ¬ {my text item delimiters, space} set s to xs as text set my text item delimiters to dlm return s
end unwords
-- wikiTable :: Dict -> String -> String on wikiTable(opts)
script ksv on |λ|(k) script on |λ|(s) script on |λ|(v) k & v & s end |λ| end script end |λ| end script end |λ| end script script on |λ|(rows) script boxStyle on |λ|(a, k) maybe(a, ksv's |λ|(a & k & "=\"")'s |λ|("\" "), ¬ lookupDict(k, opts)) end |λ| end script script rowText on |λ|(row, iRow) script cellText on |λ|(cell) if 1 = iRow then set w to maybe("", ksv's |λ|("width:")'s |λ|(";"), ¬ lookupDict("colwidth", opts)) else set w to "" end if set s to maybe(w, ksv's |λ|(w)'s |λ|(""), ¬ lookupDict("cell", opts)) if 0 < length of s then "style=\"" & s & "\"|" & cell else cell end if end |λ| end script intercalateS("\n|")'s |λ|(map(cellText, row)) end |λ| end script "{| " & unwords(foldl(boxStyle, "", {"class", "style"})) & "\n|" & ¬ intercalateS("\n|-\n")'s |λ|(map(rowText, rows)) & "\n|}" end |λ| end script
end wikiTable</lang>
- Output:
Mayan 4005:
━━ ━━ |
Θ | ━━ |
Mayan 8017:
● | Θ | Θ | ●● ━━ ━━ ━━ |
Mayan 326205:
●● | Θ | ━━ ━━ ━━ |
━━ ━━ |
━━ |
Mayan 886205:
━━ | ━━ ━━ |
━━ ━━ ━━ |
━━ ━━ |
━━ |
Mayan 2978480:
●●● ━━ ━━ ━━ |
●● ━━ ━━ |
● ━━ |
●●●● | Θ |
Go
<lang go>package main
import (
"fmt" "strconv"
)
const (
ul = "╔" uc = "╦" ur = "╗" ll = "╚" lc = "╩" lr = "╝" hb = "═" vb = "║"
)
var mayan = [5]string{
" ", " ∙ ", " ∙∙ ", "∙∙∙ ", "∙∙∙∙",
}
const (
m0 = " Θ " m5 = "────"
)
func dec2vig(n uint64) []uint64 {
vig := strconv.FormatUint(n, 20) res := make([]uint64, len(vig)) for i, d := range vig { res[i], _ = strconv.ParseUint(string(d), 20, 64) } return res
}
func vig2quin(n uint64) [4]string {
if n >= 20 { panic("Cant't convert a number >= 20") } res := [4]string{mayan[0], mayan[0], mayan[0], mayan[0]} if n == 0 { res[3] = m0 return res } fives := n / 5 rem := n % 5 res[3-fives] = mayan[rem] for i := 3; i > 3-int(fives); i-- { res[i] = m5 } return res
}
func draw(mayans [][4]string) {
lm := len(mayans) fmt.Print(ul) for i := 0; i < lm; i++ { for j := 0; j < 4; j++ { fmt.Print(hb) } if i < lm-1 { fmt.Print(uc) } else { fmt.Println(ur) } } for i := 1; i < 5; i++ { fmt.Print(vb) for j := 0; j < lm; j++ { fmt.Print(mayans[j][i-1]) fmt.Print(vb) } fmt.Println() } fmt.Print(ll) for i := 0; i < lm; i++ { for j := 0; j < 4; j++ { fmt.Print(hb) } if i < lm-1 { fmt.Print(lc) } else { fmt.Println(lr) } }
}
func main() {
numbers := []uint64{4005, 8017, 326205, 886205, 1081439556} for _, n := range numbers { fmt.Printf("Converting %d to Mayan:\n", n) vigs := dec2vig(n) lv := len(vigs) mayans := make([][4]string, lv) for i, vig := range vigs { mayans[i] = vig2quin(vig) } draw(mayans) fmt.Println() }
}</lang>
- Output:
Converting 4005 to Mayan: ╔════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║────║ Θ ║────║ ╚════╩════╩════╝ Converting 8017 to Mayan: ╔════╦════╦════╦════╗ ║ ║ ║ ║ ∙∙ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║ ║ ∙ ║ Θ ║ Θ ║────║ ╚════╩════╩════╩════╝ Converting 326205 to Mayan: ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║ ║────║────║ ║ ║ ∙∙ ║ Θ ║────║────║────║ ╚════╩════╩════╩════╩════╝ Converting 886205 to Mayan: ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║────║────║ ║ ║────║────║────║────║────║ ╚════╩════╩════╩════╩════╝ Converting 1081439556 to Mayan: ╔════╦════╦════╦════╦════╦════╦════╗ ║ ∙ ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙ ║ ║────║────║────║────║────║────║────║ ║────║────║────║────║────║────║────║ ║────║────║────║────║────║────║────║ ╚════╩════╩════╩════╩════╩════╩════╝
Haskell
<lang haskell>import Data.List (intercalate, transpose) import qualified Data.Map.Strict as M import Control.Applicative (liftA2) import Control.Monad (join) import Data.Maybe (maybe) import Data.Bool (bool)
-- MAIN --------------------------------------------------- main :: IO () main =
(putStrLn . unlines) $ mayanFramed <$> [4005, 8017, 326205, 886205, 1081439556, 1000000, 1000000000]
-- MAYAN NUMBERS ------------------------------------------ mayanGlyph :: Int -> String mayanGlyph =
filter (any (not . null)) . transpose . leftPadded . flip (showIntAtBaseS 20 mayanDigit) []
mayanDigit :: Int -> [String] mayanDigit n
| 0 /= n = replicate (rem n 5) mayaOne : join (replicate (quot n 5) [mayaFive]) | otherwise = mayaZero
mayanFramed :: Int -> String mayanFramed =
("Mayan " ++) . liftA2 (++) show ((":\n\n" ++) . wikiTable (M.fromList [ ( "style" , concat [ "text-align:center;" , "background-color:#F0EDDE;" , "color:#605B4B;" , "border:2px solid silver;" ]) , ("colwidth", "3em;") ]) . mayanGlyph)
mayaZero, mayaOne :: Char mayaZero = '\920'
mayaOne = '\9679'
mayaFive :: String mayaFive = "\9473\9473"
-- NUMERIC BASES ------------------------------------------ -- Based on the Prelude showIntAtBase but uses an (Int -> [String]) -- (rather than Int -> Char) function as its second argument. -- -- Shows a /non-negative/ 'Integral' number using the base specified by the -- first argument, and the **String** representation specified by the second. showIntAtBaseS
:: Integral a => a -> (Int -> [String]) -> a -> String -> String
showIntAtBaseS base toStr n0 r0 =
let go (n, d) r = seq s $ case n of 0 -> r_ _ -> go (quotRem n base) r_ where s = toStr (fromIntegral d) r_ = s : r in go (quotRem n0 base) r0
-- DISPLAY ------------------------------------------------ wikiTable :: M.Map String String -> String -> String wikiTable opts rows
| null rows = [] | otherwise = "{| " ++ foldr (\k a -> maybe a (((a ++ k ++ "=\"") ++) . (++ "\" ")) (M.lookup k opts)) [] ["class", "style"] ++ '\n' : intercalate "|-\n" (zipWith (\row i -> unlines (fmap ((bool [] (maybe "|" (("|style=\"width:" ++) . (++ "\"")) (M.lookup "colwidth" opts)) (0 == i) ++) . ('|' :)) row)) rows [0 ..]) ++ "|}\n\n"
leftPadded :: String -> String leftPadded xs =
let w = maximum (length <$> xs) in ((++) =<< flip replicate [] . (-) w . length) <$> xs</lang>
- Output:
Mayan 4005:
━━ | ||
━━ | Θ | ━━ |
Mayan 8017:
●● | |||
━━ | |||
━━ | |||
● | Θ | Θ | ━━ |
Mayan 326205:
━━ | ||||
━━ | ━━ | |||
●● | Θ | ━━ | ━━ | ━━ |
Mayan 886205:
━━ | ||||
━━ | ━━ | ━━ | ||
━━ | ━━ | ━━ | ━━ | ━━ |
Mayan 1081439556:
● | ●● | ●●● | ●●●● | ●●● | ●● | ● |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
Mayan 1000000:
● | ||||
━━ | ━━ | Θ | Θ | Θ |
Mayan 1000000000:
━━ | ●● | |||||
━━ | ━━ | ━━ | ||||
━━ | ━━ | ━━ | Θ | Θ | Θ | Θ |
JavaScript
<lang JavaScript>(() => {
'use strict';
const main = () => unlines( map(mayanFramed, [4005, 8017, 326205, 886205, 1081439556, 1000000, 1000000000] ) );
// MAYAN NUMBERS --------------------------------------
// mayanFramed :: Int -> String const mayanFramed = n => '\nMayan ' + n.toString() + ':\n\n' + wikiTable({ style: 'text-align:center; background-color:#F0EDDE; ' + 'color:#605B4B; border:2px solid silver', colwidth: '3em' })( mayanGlyph(n) );
// mayanGlyph :: Int -> String const mayanGlyph = n => filter(any(compose(not, isNull)), transpose(leftPadded( showIntAtBase(20, mayanDigit, n, []) )) );
// mayanDigit :: Int -> [String] const mayanDigit = n => 0 !== n ? cons( replicateString(rem(n, 5), '●'), replicate(quot(n, 5), '━━') ) : ['Θ'];
// FORMATTING -----------------------------------------
// wikiTable :: Dict -> a -> String const wikiTable = opts => rows => { const colWidth = () => 'colwidth' in opts ? ( '|style="width:' + opts.colwidth + ';"' ) : ; return 0 < rows.length ? ( '{| ' + ['class', 'style'].reduce( (a, k) => k in opts ? ( a + k + '="' + opts[k] + '" ' ) : a, ) + '\n' + rows.map( (row, i) => row.map( x => (0 === i ? ( colWidth() + '| ' ) : '|') + (x.toString() || ' ') ).join('\n') ).join('\n|-\n') + '\n|}\n\n' ) : ; };
// leftPadded :: String -> String const leftPadded = xs => { const w = maximum(map(length, xs)); return map( x => replicate(w - x.length, ).concat(x), xs ); };
// GENERIC FUNCTIONS ----------------------------------
// Tuple (,) :: a -> b -> (a, b) const Tuple = (a, b) => ({ type: 'Tuple', '0': a, '1': b, length: 2 });
// any :: (a -> Bool) -> [a] -> Bool const any = p => xs => xs.some(p);
// comparing :: (a -> b) -> (a -> a -> Ordering) const comparing = f => (x, y) => { const a = f(x), b = f(y); return a < b ? -1 : (a > b ? 1 : 0); };
// compose (<<<) :: (b -> c) -> (a -> b) -> a -> c const compose = (f, g) => x => f(g(x));
// concatMap :: (a -> [b]) -> [a] -> [b] const concatMap = (f, xs) => xs.reduce((a, x) => a.concat(f(x)), []);
// cons :: a -> [a] -> [a] const cons = (x, xs) => Array.isArray(xs) ? ( [x].concat(xs) ) : 'GeneratorFunction' !== xs.constructor.constructor.name ? ( x + xs ) : ( // Existing generator wrapped with one additional element function*() { yield x; let nxt = xs.next() while (!nxt.done) { yield nxt.value; nxt = xs.next(); } } )();
// filter :: (a -> Bool) -> [a] -> [a] const filter = (f, xs) => xs.filter(f);
// foldl1 :: (a -> a -> a) -> [a] -> a const foldl1 = (f, xs) => 1 < xs.length ? xs.slice(1) .reduce(f, xs[0]) : xs[0];
// isNull :: [a] -> Bool // isNull :: String -> Bool const isNull = xs => Array.isArray(xs) || ('string' === typeof xs) ? ( 1 > xs.length ) : undefined;
// Returns Infinity over objects without finite length. // This enables zip and zipWith to choose the shorter // argument when one is non-finite, like cycle, repeat etc
// length :: [a] -> Int const length = xs => (Array.isArray(xs) || 'string' === typeof xs) ? ( xs.length ) : Infinity;
// map :: (a -> b) -> [a] -> [b] const map = (f, xs) => (Array.isArray(xs) ? ( xs ) : xs.split()).map(f);
// maximum :: Ord a => [a] -> a const maximum = xs => 0 < xs.length ? ( foldl1((a, x) => x > a ? x : a, xs) ) : undefined;
// Ordering: (LT|EQ|GT): // GT: 1 (or other positive n) // EQ: 0 // LT: -1 (or other negative n)
// maximumBy :: (a -> a -> Ordering) -> [a] -> a const maximumBy = (f, xs) => 0 < xs.length ? ( xs.slice(1) .reduce((a, x) => 0 < f(x, a) ? x : a, xs[0]) ) : undefined;
// not :: Bool -> Bool const not = b => !b;
// quot :: Int -> Int -> Int const quot = (n, m) => Math.floor(n / m);
// quotRem :: Int -> Int -> (Int, Int) const quotRem = (m, n) => Tuple(Math.floor(m / n), m % n);
// rem :: Int -> Int -> Int const rem = (n, m) => n % m;
// replicate :: Int -> a -> [a] const replicate = (n, x) => Array.from({ length: n }, () => x);
// replicateString :: Int -> String -> String const replicateString = (n, s) => s.repeat(n);
// showIntAtBase :: Int -> (Int -> [String]) // -> Int -> String -> String const showIntAtBase = (base, toStr, n, rs) => { const go = ([n, d], r) => { const r_ = cons(toStr(d), r); return 0 !== n ? ( go(Array.from(quotRem(n, base)), r_) ) : r_; }; return go(Array.from(quotRem(n, base)), rs); };
// transpose :: a -> a const transpose = tbl => { const gaps = replicate( length(maximumBy(comparing(length), tbl)), [] ), rows = map(xs => xs.concat(gaps.slice(xs.length)), tbl); return map( (_, col) => concatMap(row => [row[col]], rows), rows[0] ); };
// unlines :: [String] -> String const unlines = xs => xs.join('\n');
// MAIN --- return main();
})();</lang>
- Output:
Mayan 4005:
━━ | ||
━━ | Θ | ━━ |
Mayan 8017:
●● | |||
━━ | |||
━━ | |||
● | Θ | Θ | ━━ |
Mayan 326205:
━━ | ||||
━━ | ━━ | |||
●● | Θ | ━━ | ━━ | ━━ |
Mayan 886205:
━━ | ||||
━━ | ━━ | ━━ | ||
━━ | ━━ | ━━ | ━━ | ━━ |
Mayan 1081439556:
● | ●● | ●●● | ●●●● | ●●● | ●● | ● |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
━━ | ━━ | ━━ | ━━ | ━━ | ━━ | ━━ |
Mayan 1000000:
● | ||||
━━ | ━━ | Θ | Θ | Θ |
Mayan 1000000000:
━━ | ●● | |||||
━━ | ━━ | ━━ | ||||
━━ | ━━ | ━━ | Θ | Θ | Θ | Θ |
Julia
First version, using a style sheet, output to html, with the capability of proper style within the browser.
<lang julia>using Gumbo
mayan_glyphs(x, y) = (x == 0 && y == 0) ? "\nΘ\n" : "\n" * "●" ^ x * "
\n───" ^ y * "\n"
inttomayan(n) = (s = string(n, base=20); map(ch -> reverse(divrem(parse(Int, ch, base=20), 5)), split(s, "")))
function testmayan()
startstring = """\n
<style> table.roundedcorners {
border: 1px solid DarkOrange; border-radius: 13px; border-spacing: 1; }
table.roundedcorners td, table.roundedcorners th {
border: 2px solid DarkOrange; border-radius: 13px; border-bottom: 3px solid DarkOrange; vertical-align: bottom; text-align: center; padding: 10px; }
</style> \n"""
txt = startstring for n in [4005, 8017, 326205, 886205, 70913241, 2147483647]
txt *= "
The Mayan representation for the integer $n is:
" * join(map(x -> mayan_glyphs(x[1], x[2]), inttomayan(n))) * "\n\n"
end println(parsehtml(txt))
end
testmayan() </lang>
Version 2, using local wiki style table formatting: translation of style code from the Perl 6 version.
<lang julia>mayan_glyphs(x, y) = (x == 0 && y == 0) ? "\n| style=$tdconfig | Θ" : "\n| style=$tdconfig | " * "●" ^ x * "
───" ^ y
inttomayan(n) = (s = string(n, base=20); map(ch -> reverse(divrem(parse(Int, ch, base=20), 5)), split(s, "")))
tableconfig = raw""" " border: 1px solid DarkOrange; border-radius: 13px; border-spacing: 1; " """ tdconfig = raw""" "border: 2px solid DarkOrange; border-radius: 13px; border-bottom: 2px solid DarkOrange; vertical-align: bottom; text-align: center; padding: 10px;" """
function testmayan()
txt = "" for n in [4005, 8017, 326205, 886205, 70913241, 2147483647] txt *= "\nThe Mayan representation for the integer $n is:\n" * "{| style=$tableconfig \n|- " * join(map(x -> mayan_glyphs(x[1], x[2]), inttomayan(n))) * "\n|}\n\n" end println(txt)
end
testmayan() </lang>
- Output:
The Mayan representation for the integer 4005 is:
─── ─── |
Θ | ─── |
The Mayan representation for the integer 8017 is:
● | Θ | Θ | ●● ─── ─── ─── |
The Mayan representation for the integer 326205 is:
●● | Θ | ─── ─── ─── |
─── ─── |
─── |
The Mayan representation for the integer 886205 is:
─── |
─── ─── |
─── ─── ─── |
─── ─── |
─── |
The Mayan representation for the integer 70913241 is:
● | ●● | ●●● | ●●●● | ●●● | ●● | ● |
The Mayan representation for the integer 2147483647 is:
● | ●●● ─── ─── |
● ─── ─── |
● | ─── ─── ─── |
●●●● ─── |
●● | ●● ─── |
Perl
<lang perl>use ntheory qw/fromdigits todigitstring/;
my $t_style = '"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"'; my $c_style = '"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;'.
'border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'. 'vertical-align: bottom;width: 3.25em;"';
sub cartouches {
my($num, @digits) = @_; my $render; for my $d (@digits) { $render .= "| style=$c_style | $_\n" for glyphs(@$d); } chomp $render; join "\n", "\{| style=$t_style", "|+ $num", '|-', $render, '|}'
}
sub glyphs {
return 'Θ' unless $_[0] || $_[1]; join '
', '●' x $_[0], ('───') x $_[1];
}
sub mmod {
my($n,$b) = @_; my @nb; return 0 unless $n; push @nb, fromdigits($_, $b) for split , todigitstring($n, $b); return @nb;
}
for $n (qw<4005 8017 326205 886205 26960840421>) {
push @output, cartouches($n, map { [reverse mmod($_,5)] } mmod($n,20) );
}
print join "\n
\n", @output;</lang>
- Output:
─── ─── |
Θ | ─── |
● | Θ | Θ | ●● ─── ─── ─── |
●● | Θ | ─── ─── ─── |
─── ─── |
─── |
─── |
─── ─── |
─── ─── ─── |
─── ─── |
─── |
● | ● | ● | ─── |
─── |
─── |
● | ● | ● |
Perl 6
Just a matter of converting to base twenty, then divmod 5 each digit and map to the appropriate glyph. Most of this is display code to deal with the cartouche requirement.
I actually spent a little time looking into what exactly a Mayan cartouche was supposed to look like. The classic Mayan cartouche was kind of a rounded rectangle with three little semi-circles underneath. Kind of looks like a picture frame. In general, they were only used when expressing significant "holy" dates in the Mayan calender.
These don't particularly resemble the Mayan cartouche, more like mahjong tiles actually. It would have been so much easier and more compact though if I could have put all the styling into a CSS file instead of inlining it, but oh well, it was entertaining to do.
<lang perl6>my $t-style = '"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"'; my $c-style = '"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;'~
'border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'~ 'vertical-align: bottom;width: 3.25em;"';
sub mayan ($int) { $int.polymod(20 xx *).reverse.map: *.polymod(5) }
sub display ($num, @digits) {
join "\n", "\{| style=$t-style", "|+ $num", '|-', (|@digits.map: {"| style=$c-style | $_"}), '|}'
}
my @output = <4005 8017 326205 886205 1081439556 503491211079>.map:
{ display $_, .&mayan.map: { (join '
', '●' x .[0], '───' xx .[1]) || 'Θ' } }
say @output.join: "\n
\n";</lang>
- Output:
─── ─── |
Θ | ─── |
● | Θ | Θ | ●● ─── ─── ─── |
●● | Θ | ─── ─── ─── |
─── ─── |
─── |
─── |
─── ─── |
─── ─── ─── |
─── ─── |
─── |
● ─── ─── ─── |
●● ─── ─── ─── |
●●● ─── ─── ─── |
●●●● ─── ─── ─── |
●●● ─── ─── ─── |
●● ─── ─── ─── |
● ─── ─── ─── |
●●●● ─── ─── ─── |
●●● ─── ─── |
●● ─── |
● | Θ | ● | ●● ─── |
●●● ─── ─── |
●●●● ─── ─── ─── |
Phix
Three-way output controlled by the first two constants. <lang Phix>-- demo\rosetta\Mayan_numerals.exw constant as_html = true, -- false == nasty ascii
inline_css = true -- also uses wiki tables ({| etc) if false
string html = ""
constant t_style = "border-collapse: separate; text-align: center; border-spacing: 3px 0px;",
c_style = "border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;"& "border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;"& "vertical-align: bottom;width: 3.25em;", dot = "●", bar = "───", zero = "Θ", digits = {" 0 "," . "," .. ","... ","...."}
function to_seq(atom a)
sequence s = {} while true do s = prepend(s,remainder(a,20)) a = floor(a/20) if a=0 then exit end if end while return s
end function
procedure show_mayan(atom a)
sequence s = to_seq(a) if not as_html then string tb = join(repeat('+',length(s)+1),"------"), ln = join(repeat('|',length(s)+1)," ") sequence res = {tb,ln,ln,ln,ln,tb} for i=1 to length(s) do integer si = s[i], l = 5, m = i*7-4 while true do res[l][m..m+3] = digits[min(si+1,5)] si -= 5 if si<=0 then exit end if l -= 1 end while end for printf(1,"%d\n%s\n\n",{a,join(res,"\n")}) else for i=1 to length(s) do sequence res = repeat("",4) integer si = s[i], l = 4 while true do res[l] = iff(si>=5?bar:iff(si?join(repeat(dot,si),""):zero)) si -= 5 if si<=0 then exit end if l -= 1 end while s[i] = join(res,"
") end for if inline_css then
html &= sprintf("
\n \n \n",a) for i=1 to length(s) do html &= sprintf(" \n",{s[i]})end forhtml &= " \n
%s |
\n"
else html &= sprintf("{| style=\"%s\"\n|+ %d\n|-\n",{t_style,a}) for i=1 to length(s) do html &= sprintf("| style=\"%s\" | %s\n",{c_style,s[i]}) end for html &= "|}\n" end if end if
end procedure
constant html_header = """ <!DOCTYPE html> <html lang="en">
<head> <meta charset="utf-8" /> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> <title>Mayan numerals</title> <style> table {%s} td { %s } </style> </head> <body>
Mayan numerals
""",
wiki_header = """
The following is intended to be pasted into the rosettacode wiki, or similar
""",
html_footer = """
</body>
</html> """
constant tests = {4005, 8017, 326205, 886205, 26960840421, 126524984376952}
for i=1 to length(tests) do show_mayan(tests[i]) end for
if as_html then
string filename = "Mayan_numerals.html" integer fn = open(filename,"w") if inline_css then printf(fn,html_header,{t_style,c_style}) else printf(fn,wiki_header) end if puts(fn,html) if inline_css then puts(fn,html_footer) end if close(fn) if inline_css then system(filename) else printf(1,"See %s\n",{filename}) {} = wait_key() end if
else
?"done" {} = wait_key()
end if</lang>
- Output:
With inline_css set to false. Note these are always height-4.
─── ─── |
Θ |
─── |
● |
Θ |
Θ |
●● ─── ─── ─── |
●● |
Θ |
─── ─── ─── |
─── ─── |
─── |
─── |
─── ─── |
─── ─── ─── |
─── ─── |
─── |
● |
● |
● |
─── |
─── |
─── |
● |
● |
● |
●● ─── ─── |
●● ─── |
●● |
●● ─── |
●● ─── ─── |
●● ─── ─── ─── |
●● ─── ─── |
●● ─── |
●● |
●● ─── |
●● ─── ─── |
- Output:
With inline_css set to true. As noted on the perl6 entry, this is much neater, but does not display nicely on this page.
(These captions are centred; to exactly match the above just add a simple caption {text-align: left;} in the style section.)
<!DOCTYPE html> <html lang="en"> <head> <meta charset="utf-8" /> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> <title>Mayan numerals</title> <style> table {border-collapse: separate; text-align: center; border-spacing: 3px 0px;} td { border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;border-radius: 1em; -moz-border-radius: 1em;-webkit-border-radius: 1em;vertical-align: bottom;width: 3.25em; } </style> </head> <body> <h2>Mayan numerals</h2> <table> <caption>4005</caption> <tr> <td><br><br>───<br>───</td> <td><br><br><br>Θ</td> <td><br><br><br>───</td> </tr> </table> <table> <caption>8017</caption> <tr> <td><br><br><br>●</td> <td><br><br><br>Θ</td> <td><br><br><br>Θ</td> <td>●●<br>───<br>───<br>───</td> </tr> </table> <table> <caption>326205</caption> <tr> <td><br><br><br>●●</td> <td><br><br><br>Θ</td> <td><br>───<br>───<br>───</td> <td><br><br>───<br>───</td> <td><br><br><br>───</td> </tr> </table> <table> <caption>886205</caption> <tr> <td><br><br><br>───</td> <td><br><br>───<br>───</td> <td><br>───<br>───<br>───</td> <td><br><br>───<br>───</td> <td><br><br><br>───</td> </tr> </table> <table> <caption>26960840421</caption> <tr> <td><br><br><br>●</td> <td><br><br><br>●</td> <td><br><br><br>●</td> <td><br><br><br>───</td> <td><br><br><br>───</td> <td><br><br><br>───</td> <td><br><br><br>●</td> <td><br><br><br>●</td> <td><br><br><br>●</td> </tr> </table> <table> <caption>126524984376952</caption> <tr> <td><br>●●<br>───<br>───</td> <td><br><br>●●<br>───</td> <td><br><br><br>●●</td> <td><br><br>●●<br>───</td> <td><br>●●<br>───<br>───</td> <td>●●<br>───<br>───<br>───</td> <td><br>●●<br>───<br>───</td> <td><br><br>●●<br>───</td> <td><br><br><br>●●</td> <td><br><br>●●<br>───</td> <td><br>●●<br>───<br>───</td> </tr> </table> </body> </html>
- Output:
With output_html set to false.
4005 +------+------+------+ | | | | | | | | | .... | | | | .... | 0 | .... | +------+------+------+ 8017 +------+------+------+------+ | | | | .. | | | | | .... | | | | | .... | | . | 0 | 0 | .... | +------+------+------+------+ 326205 +------+------+------+------+------+ | | | | | | | | | .... | | | | | | .... | .... | | | .. | 0 | .... | .... | .... | +------+------+------+------+------+ 886205 +------+------+------+------+------+ | | | | | | | | | .... | | | | | .... | .... | .... | | | .... | .... | .... | .... | .... | +------+------+------+------+------+ 26960840421 +------+------+------+------+------+------+------+------+------+ | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | . | . | . | .... | .... | .... | . | . | . | +------+------+------+------+------+------+------+------+------+ 126524984376952 +------+------+------+------+------+------+------+------+------+------+------+ | | | | | | .. | | | | | | | .. | | | | .. | .... | .. | | | | .. | | .... | .. | | .. | .... | .... | .... | .. | | .. | .... | | .... | .... | .. | .... | .... | .... | .... | .... | .. | .... | .... | +------+------+------+------+------+------+------+------+------+------+------+
Python
<lang Python>Mayan numerals
from functools import (reduce)
- MAYAN NUMERALS ------------------------------------------
- mayanNumerals :: Int -> String
def mayanNumerals(n):
Rows of Mayan digit cells, representing the integer n. return showIntAtBase(20)( mayanDigit )(n)([])
- mayanDigit :: Int -> [String]
def mayanDigit(n):
List of strings representing a Mayan digit. if 0 < n: r = n % 5 return [(['●' * r] if 0 < r else []) + (['━━'] * (n // 5))] else: return ['Θ']
- mayanFramed :: Int -> String
def mayanFramed(n):
Mayan integer in the form of a Wiki table source string. return 'Mayan ' + str(n) + ':\n\n' + ( wikiTable({ 'class': 'wikitable', 'style': cssFromDict({ 'text-align': 'center', 'background-color': '#F0EDDE', 'color': '#605B4B', 'border': '2px solid silver' }), 'colwidth': '3em', 'cell': 'vertical-align: bottom;' })([[ '
'.join(col) for col in mayanNumerals(n) ]]) )
- TEST ----------------------------------------------------
- main :: IO ()
def main():
Mayan numeral representations of various integers print( main.__doc__ + ':\n\n' + '\n'.join(mayanFramed(n) for n in [ 4005, 8017, 326205, 886205, 1081439556, 1000000, 1000000000 ]) )
- BOXES ---------------------------------------------------
- wikiTable :: Dict -> a -> String
def wikiTable(opts):
Source text for wiki-table display of rows of cells, using CSS key-value pairs in the opts dictionary. def colWidth(): return 'width:' + opts['colwidth'] + '; ' if ( 'colwidth' in opts ) else
def cellStyle(): return opts['cell'] if 'cell' in opts else
return lambda rows: '{| ' + reduce( lambda a, k: ( a + k + '="' + opts[k] + '" ' if k in opts else a ), ['class', 'style'], ) + '\n' + '\n|-\n'.join( '\n'.join( ('|' if (0 != i and ('cell' not in opts)) else ( '|style="' + colWidth() + cellStyle() + '"|' )) + ( str(x) or ' ' ) for x in row ) for i, row in enumerate(rows) ) + '\n|}\n\n'
- GENERIC -------------------------------------------------
- cssFromDict :: Dict -> String
def cssFromDict(dct):
CSS string from a dictinary of key-value pairs return reduce( lambda a, k: a + k + ':' + dct[k] + '; ', dct.keys(), )
- showIntAtBase :: Int -> (Int -> String) -> Int -> String -> String
def showIntAtBase(base):
String representation of an integer in a given base, using a supplied function for the string representation of digits. def wrap(toChr, n, rs): def go(nd, r): n, d = nd r_ = toChr(d) + r return go(divmod(n, base), r_) if 0 != n else r_ return 'unsupported base' if 1 >= base else ( 'negative number' if 0 > n else ( go(divmod(n, base), rs)) ) return lambda toChr: lambda n: lambda rs: ( wrap(toChr, n, rs) )
- MAIN ---
if __name__ == '__main__':
main()</lang>
- Output:
Mayan numeral representations of various integers:
Mayan 4005:
━━ ━━ |
Θ | ━━ |
Mayan 8017:
● | Θ | Θ | ●● ━━ ━━ ━━ |
Mayan 326205:
●● | Θ | ━━ ━━ ━━ |
━━ ━━ |
━━ |
Mayan 886205:
━━ | ━━ ━━ |
━━ ━━ ━━ |
━━ ━━ |
━━ |
Mayan 1081439556:
● ━━ ━━ ━━ |
●● ━━ ━━ ━━ |
●●● ━━ ━━ ━━ |
●●●● ━━ ━━ ━━ |
●●● ━━ ━━ ━━ |
●● ━━ ━━ ━━ |
● ━━ ━━ ━━ |
Mayan 1000000:
● ━━ |
━━ | Θ | Θ | Θ |
Mayan 1000000000:
━━ ━━ ━━ |
●● ━━ ━━ |
━━ ━━ |
Θ | Θ | Θ | Θ |
REXX
<lang rexx>/*REXX program converts decimal numbers to the Mayan numbering system (with cartouches).*/ parse arg $ /*obtain optional arguments from the CL*/ if $= then $= 4005 8017 326205 886205, /*Not specified? Then use the default.*/
172037122592320200101 /*Morse code for MAYAN; egg is a blank.*/
do j=1 for words($) /*convert each of the numbers specified*/ #= word($, j) /*extract a number from (possible) list*/ say say center('converting the decimal number ' # " to a Mayan number:", 90, '─') say call $MAYAN # '(overlap)' /*invoke the $MAYAN (REXX) subroutine.*/ say end /*j*/ /*stick a fork in it, we're all done. */</lang>
The $MAYAN.REX (REXX program) subroutine can be seen here ───► Mayan_numerals\$MAYAN.REX.
- output when using the default inputs:
─────────────────converting the decimal number 4005 to a Mayan number:────────────────── ╔════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║────║ Θ ║────║ ╚════╩════╩════╝ ─────────────────converting the decimal number 8017 to a Mayan number:────────────────── ╔════╦════╦════╦════╗ ║ ║ ║ ║ ∙∙ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║ ║ ∙ ║ Θ ║ Θ ║────║ ╚════╩════╩════╩════╝ ────────────────converting the decimal number 326205 to a Mayan number:───────────────── ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║ ║────║────║ ║ ║ ∙∙ ║ Θ ║────║────║────║ ╚════╩════╩════╩════╩════╝ ────────────────converting the decimal number 886205 to a Mayan number:───────────────── ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║────║────║ ║ ║────║────║────║────║────║ ╚════╩════╩════╩════╩════╝ ─────────converting the decimal number 172037122592320200101 to a Mayan number:───────── ╔════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║ ║────║────║ Θ ║ ∙ ║────║ Θ ║────║ ∙ ║────║────║ Θ ║ ∙ ║────║ Θ ║────║ ∙ ║ ╚════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╝
zkl
<lang zkl>var zero=" \u0398 ",one="\u2219", five=String("\u2500"*4,"\n"), fill=" \n"; var ds=T(" "," \u2219 "," \u2219\u2219 ","\u2219\u2219\u2219 ","\u2219\u2219\u2219\u2219"); fcn mayan(m){ //--> lists of lists of strings (each line of tile)
m.toString(20).pump(List,fcn(m){ // 4,005 --> "a05" bars,dots := m.toInt(20).divr(5); // "a" --> 10 --> (2,0) if(0==bars==dots) return(String(fill*3, zero).split("\n")); // 0 String(fill*(3-bars), ds[dots],"\n", five*bars)[0,-1].split("\n") // tile })
}</lang> <lang zkl>var vbar="\u2551", hbar="\u2550"*4, ut=(hbar+"\u2566"), bt=(hbar+"\u2569"); fcn displayMayan(m){ // eg 11 is ( ( ),( * ),(----),(----) )
println("\u2554", ut*(m.len()-1), hbar,"\u2557"); // top foreach n in (4){ println(vbar, m.apply("get",n).concat(vbar), vbar) } println("\u255a", bt*(m.len()-1), hbar,"\u255d"); // bottom
}</lang> <lang zkl>foreach m in (T(4_005, 8_017, 326_205, 886_205, 503_491_211_079, 88_637_341)){
println("\n%,d:".fmt(m)); mayan(m):displayMayan(_);
}</lang>
- Output:
4,005: ╔════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║────║ Θ ║────║ ╚════╩════╩════╝ 8,017: ╔════╦════╦════╦════╗ ║ ║ ║ ║ ∙∙ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║ ║ ∙ ║ Θ ║ Θ ║────║ ╚════╩════╩════╩════╝ 326,205: ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║ ║────║────║ ║ ║ ∙∙ ║ Θ ║────║────║────║ ╚════╩════╩════╩════╩════╝ 886,205: ╔════╦════╦════╦════╦════╗ ║ ║ ║ ║ ║ ║ ║ ║ ║────║ ║ ║ ║ ║────║────║────║ ║ ║────║────║────║────║────║ ╚════╩════╩════╩════╩════╝ 503,491,211,079: ╔════╦════╦════╦════╦════╦════╦════╦════╦════╗ ║∙∙∙∙║ ║ ║ ║ ║ ║ ║ ║∙∙∙∙║ ║────║∙∙∙ ║ ║ ║ ║ ║ ║∙∙∙ ║────║ ║────║────║ ∙∙ ║ ║ ║ ║ ∙∙ ║────║────║ ║────║────║────║ ∙ ║ Θ ║ ∙ ║────║────║────║ ╚════╩════╩════╩════╩════╩════╩════╩════╩════╝ 88,637,341: ╔════╦════╦════╦════╦════╦════╦════╗ ║ ║ ║ ║∙∙∙∙║ ║ ║ ║ ║ ║ ║∙∙∙ ║────║∙∙∙ ║ ║ ║ ║ ║ ∙∙ ║────║────║────║ ∙∙ ║ ║ ║ ∙ ║────║────║────║────║────║ ∙ ║ ╚════╩════╩════╩════╩════╩════╩════╝
The Perl6 numerals look so good, let's copy them.
<lang zkl>var [const]
t_style=0"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"', c_style=0"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;' 0border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;' 0vertical-align: bottom;width: 3.25em;"';
var [const] dot="\u25cf", bar="\u2500\u2500\u2500!", zero=" \u0398 ";
fcn mayan(m){ m.toString(20).pump(List,fcn(m){ m.toInt(20).divr(5) }) } fcn display(num,digits){
"{| style=%s\n|+ %s \n|-\n%s|}".fmt(t_style,num, digits.split().pump(String, "| style=%s | %s\n".fmt.fp(c_style)) );
}
T(88637341,26960840421).apply(
fcn(m){ mayan(m).pump(String,
fcn([(bars,dots)]){
(if(bars or dots) (dot*dots + "!" + bar*bars)[0,-1] else zero)
+ " "
}).replace("!","
") : display(m,_)
})
.concat("\n
\n").println();</lang>
- Output:
● | ●● ─── |
●●● ─── ─── |
●●●● ─── ─── ─── |
●●● ─── ─── |
●● ─── |
● |
● | ● | ● | ─── |
─── |
─── |
● | ● | ● |