Box the compass

Box the compass
You are encouraged to solve this task according to the task description, using any language you may know.
Avast me hearties!

There be many a land lubber that knows naught of the pirate ways and gives direction by degree! They know not how to box the compass!

1. Create a function that takes a heading in degrees and returns the correct 32-point compass heading.
2. Use the function to print and display a table of Index, Compass point, and Degree; rather like the corresponding columns from, the first table of the wikipedia article, but use only the following 33 headings as input:
`[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]`. (They should give the same order of points but are spread throughout the ranges of acceptance).

Notes;
• The headings and indices can be calculated from this pseudocode:
```for i in 0..32 inclusive:
heading = i * 11.25
case i %3:
if 1: heading += 5.62; break
if 2: heading -= 5.62; break
end
index = ( i mod 32) + 1```
• The column of indices can be thought of as an enumeration of the thirty two cardinal points (see talk page)..

11l

Translation of: Python
`V majors = ‘north east south west’.split(‘ ’)majors *= 2V quarter1 = ‘N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N’.split(‘,’)V quarter2 = quarter1.map(p -> p.replace(‘NE’, ‘EN’)) F degrees2compasspoint(=d)   d = (d % 360) + 360 / 64   V majorindex = Int(d / 90)   V minorindex = Int((d % 90 * 4) I/ 45)   V p1 = :majors[majorindex]   V p2 = :majors[majorindex + 1]   [String] q   I p1 C (‘north’, ‘south’)      q = :quarter1   E      q = :quarter2   R q[minorindex].replace(‘N’, p1).replace(‘E’, p2).capitalize() :start:L(i) 33   V d = i * 11.25   S i % 3      1         d += 5.62      2         d -= 5.62   V n = i % 32 + 1   print(‘#2.0 #<18 #4.2°’.format(n, degrees2compasspoint(d), d))`
Output:
``` 1 North                 0.00°
2 North by east        16.87°
3 North-northeast      16.88°
...
31 North-northwest     337.50°
32 North by west       354.37°
1 North               354.38°
```

Inspired by the C++ program, but without the need for a specific library.

`with Ada.Text_IO; procedure Box_The_Compass is    type Degrees is digits 5 range 0.00 .. 359.99;   type Index_Type is mod 32;    function Long_Name(Short: String) return String is       function Char_To_Name(Char: Character) return String is      begin         case Char is            when 'N' | 'n' => return Char & "orth";            when 'S' | 's' => return Char & "outh";            when 'E' | 'e' => return Char & "ast";            when 'W' | 'w' => return Char & "est";            when 'b' => return " by ";            when '-' => return "-";            when others => raise Constraint_Error;         end case;      end Char_To_Name;    begin      if Short'Length = 0 or else Short(Short'First)=' ' then         return "";      else         return Char_To_Name(Short(Short'First))           & Long_Name(Short(Short'First+1 .. Short'Last));      end if;   end Long_Name;    procedure Put_Line(Angle: Degrees) is       function Index(D: Degrees) return Index_Type is      begin         return Index_Type(Integer(Degrees'Rounding(D/11.25)) mod 32);      end Index;       I: Integer := Integer(Index(Angle))+1;      package DIO is new Ada.Text_IO.Float_IO(Degrees);      Abbr: constant array(Index_Type) of String(1 .. 4)        := ("N   ", "Nbe ", "N-ne", "Nebn", "Ne  ", "Nebe", "E-ne", "Ebn ",            "E   ", "Ebs ", "E-se", "Sebe", "Se  ", "Sebs", "S-se", "Sbe ",            "S   ", "Sbw ", "S-sw", "Swbs", "Sw  ", "Swbw", "W-sw", "Wbs ",            "W   ", "Wbn ", "W-nw", "Nwbw", "Nw  ", "Nwbn", "N-nw", "Nbw ");    begin      DIO.Put(Angle, Fore => 3, Aft => 2, Exp => 0); -- format "zzx.xx"      Ada.Text_IO.Put(" |");      if I <= 9 then         Ada.Text_IO.Put(" ");      end if;      Ada.Text_IO.Put_Line(" "  & Integer'Image(I) & " | "                             & Long_Name(Abbr(Index(Angle))));   end Put_Line;    Difference: constant array(0..2) of Degrees'Base     := (0=> 0.0, 1=> +5.62, 2=> - 5.62); begin   Ada.Text_IO.Put_Line(" angle | box | compass point");   Ada.Text_IO.Put_Line(" ---------------------------------");   for I in 0 .. 32 loop      Put_Line(Degrees(Degrees'Base(I) * 11.25 + Difference(I mod 3)));   end loop;end Box_The_Compass;`

Output:

``` angle | box | compass point
---------------------------------
0.00 |   1 | North
16.87 |   2 | North by east
16.88 |   3 | North-northeast
33.75 |   4 | Northeast by north
50.62 |   5 | Northeast
50.63 |   6 | Northeast by east
67.50 |   7 | East-northeast
84.37 |   8 | East by north
84.38 |   9 | East
101.25 |  10 | East by south
118.12 |  11 | East-southeast
118.13 |  12 | Southeast by east
135.00 |  13 | Southeast
151.87 |  14 | Southeast by south
151.88 |  15 | South-southeast
168.75 |  16 | South by east
185.62 |  17 | South
185.63 |  18 | South by west
202.50 |  19 | South-southwest
219.37 |  20 | Southwest by south
219.38 |  21 | Southwest
236.25 |  22 | Southwest by west
253.12 |  23 | West-southwest
253.13 |  24 | West by south
270.00 |  25 | West
286.87 |  26 | West by north
286.88 |  27 | West-northwest
303.75 |  28 | Northwest by west
320.62 |  29 | Northwest
320.63 |  30 | Northwest by north
337.50 |  31 | North-northwest
354.37 |  32 | North by west
354.38 |   1 | North```

ALGOL 68

Works with: ALGOL 68 version Revision 1 - no extensions to language used.
Works with: ALGOL 68G version Any - tested with release 1.18.0-9h.tiny.
`#!/usr/local/bin/a68g --script # []STRING  long  by nesw = (" by ", "North", "East", "South", "West"),  short by nesw = ("b", "N", "E", "S", "W"); MODE MINUTES = REAL; # minutes type #INT last minute=360*60;INT point width=last minute OVER 32; PROC direction name = (REAL direction in minutes, []STRING locale directions)STRING: (   STRING by = locale directions[1];  []STRING nesw = locale directions[@-1];   PRIO MASK = 7; # same PRIOrity as * and / #  OP MASK = (INT n, BITS lower)INT: ABS (BIN n AND NOT lower),     DECAP = (STRING s)STRING: IF UPB s > 1 THEN REPR (ABS s[1]-ABS "A"+ABS "a")+s[2:] ELSE s FI;   PROC point name = (INT in point)STRING: (     INT point = in point MOD 32 # 32 points of a compass #;    IF point MOD 8 = 0 THEN# name the principle point: eg. N, E, S or W #      nesw[point OVER 8]     ELIF point MOD 4 = 0 THEN# name the half: eg. NE, SE, SW or NW #      point name((point+8)MASK 2r1111)+DECAP point name(point MASK 2r1111 + 8)     ELIF point MOD 2 = 0 THEN# name the quarter: eg. N-NE, E-NE, E-SE, S-SE, S-SW, W-SW, W-NW or N-NW #      point name((point+4)MASK 2r111)+"-"+point name(point MASK 2r111 + 4)     ELSE # Name the sixteenth point: ## eg. NbE,NEbN,NEbE,EbN,EbS,SEbE,SEbS,SbE,SbW,SWbS,SWbW,WbS,WbN,NWbW,NWbN,NbW #      INT opp point = point OVER 8 + ABS NOT ODD (point OVER 2);      point name((point+2)MASK 2r11)+ by +nesw(opp point MOD 4)    FI  );  point name(ROUND(direction in minutes/point width))); PROC traditional name = (MINUTES minutes)STRING: (  INT degrees = ROUND(minutes / 60);  degrees=0  |"Tramontana"          |:  degrees=45 |"Greco or Bora"       |:  degrees=90 |"Levante"             |:  degrees=135|"Sirocco"             |:  degrees=180|"Ostro"               |:  degrees=225|"Libeccio"            |:  degrees=270|"Poniente or Zephyrus"|:  degrees=315|"Mistral"             |:  degrees=360|"Tramontana"          |""); # First generate the test set results #test:(  printf(\$"Test:"l\$);  FOR i FROM 0 TO 32 DO    REAL heading = i * 11.25 +      CASE i MOD 3 IN        +5.62,        -5.62        OUT 0      ESAC;    INT index = ( i MOD 32) + 1;    printf((\$zd" ", g23k, zzd.zzl\$, index , direction name(heading*60, long by nesw), heading))  OD); table:(  OP OVER = (REAL r, INT base)INT: ENTIER ABS r OVER  base,     MOD = (REAL r, INT base)REAL: ( INT i = ENTIER r; i MOD base + r - i);   printf(    \$l"Table:"l    " #|Compass point"22k"|Abbr|Traditional wind point| Lowest°′ | Middle°′ | Highest°′"l\$  );   OP DEGMIN = (REAL minutes)STRUCT(INT d, REAL m): (minutes MOD last minute OVER 60, minutes MOD 60);   FOR point FROM 1 TO 32 DO    REAL centre = (point-1) * point width;    REAL from =  centre - point width/2,         to   =  centre + point width/2-1/120;    printf((            \$g(-2)"|"\$, point,            \$g\$, direction name(centre, long by nesw),            \$22k"|"g\$, direction name(centre, short by nesw),            \$27k"|"g\$, traditional name(centre),            \$50k\$, \$"|"g(-3)"°", dd.dd"′"\$, DEGMIN from, DEGMIN centre, DEGMIN to,            \$l\$          ))  OD)`

Output:

```Test:
1 North                0.00
2 North by East       16.87
3 North-Northeast     16.88
4 Northeast by North  33.75
5 Northeast           50.62
6 Northeast by East   50.63
7 East-Northeast      67.50
8 East by North       84.37
9 East                84.38
10 East by South      101.25
11 East-Southeast     118.12
12 Southeast by East  118.13
13 Southeast          135.00
14 Southeast by South 151.87
15 South-Southeast    151.88
16 South by East      168.75
17 South              185.62
18 South by West      185.63
19 South-Southwest    202.50
20 Southwest by South 219.37
21 Southwest          219.38
22 Southwest by West  236.25
23 West-Southwest     253.12
24 West by South      253.13
25 West               270.00
26 West by North      286.87
27 West-Northwest     286.88
28 Northwest by West  303.75
29 Northwest          320.62
30 Northwest by North 320.63
31 North-Northwest    337.50
32 North by West      354.37
1 North              354.38

Table:
#|Compass point     |Abbr|Traditional wind point| Lowest°′ | Middle°′ | Highest°′
1|North             |N   |Tramontana            |354°22.50′|  0°00.00′|  5°37.49′
2|North by East     |NbE |                      |  5°37.50′| 11°15.00′| 16°52.49′
3|North-Northeast   |N-NE|                      | 16°52.50′| 22°30.00′| 28°07.49′
4|Northeast by North|NEbN|                      | 28°07.50′| 33°45.00′| 39°22.49′
5|Northeast         |NE  |Greco or Bora         | 39°22.50′| 45°00.00′| 50°37.49′
6|Northeast by East |NEbE|                      | 50°37.50′| 56°15.00′| 61°52.49′
7|East-Northeast    |E-NE|                      | 61°52.50′| 67°30.00′| 73°07.49′
8|East by North     |EbN |                      | 73°07.50′| 78°45.00′| 84°22.49′
9|East              |E   |Levante               | 84°22.50′| 90°00.00′| 95°37.49′
10|East by South     |EbS |                      | 95°37.50′|101°15.00′|106°52.49′
11|East-Southeast    |E-SE|                      |106°52.50′|112°30.00′|118°07.49′
12|Southeast by East |SEbE|                      |118°07.50′|123°45.00′|129°22.49′
13|Southeast         |SE  |Sirocco               |129°22.50′|135°00.00′|140°37.49′
14|Southeast by South|SEbS|                      |140°37.50′|146°15.00′|151°52.49′
15|South-Southeast   |S-SE|                      |151°52.50′|157°30.00′|163°07.49′
16|South by East     |SbE |                      |163°07.50′|168°45.00′|174°22.49′
17|South             |S   |Ostro                 |174°22.50′|180°00.00′|185°37.49′
18|South by West     |SbW |                      |185°37.50′|191°15.00′|196°52.49′
19|South-Southwest   |S-SW|                      |196°52.50′|202°30.00′|208°07.49′
20|Southwest by South|SWbS|                      |208°07.50′|213°45.00′|219°22.49′
21|Southwest         |SW  |Libeccio              |219°22.50′|225°00.00′|230°37.49′
22|Southwest by West |SWbW|                      |230°37.50′|236°15.00′|241°52.49′
23|West-Southwest    |W-SW|                      |241°52.50′|247°30.00′|253°07.49′
24|West by South     |WbS |                      |253°07.50′|258°45.00′|264°22.49′
25|West              |W   |Poniente or Zephyrus  |264°22.50′|270°00.00′|275°37.49′
26|West by North     |WbN |                      |275°37.50′|281°15.00′|286°52.49′
27|West-Northwest    |W-NW|                      |286°52.50′|292°30.00′|298°07.49′
28|Northwest by West |NWbW|                      |298°07.50′|303°45.00′|309°22.49′
29|Northwest         |NW  |Mistral               |309°22.50′|315°00.00′|320°37.49′
30|Northwest by North|NWbN|                      |320°37.50′|326°15.00′|331°52.49′
31|North-Northwest   |N-NW|                      |331°52.50′|337°30.00′|343°07.49′
32|North by West     |NbW |                      |343°07.50′|348°45.00′|354°22.49′
```

AppleScript

OS X Yosemite onwards (uses Foundation classes for record handling etc)

Translation of: JavaScript

(ES6 version)

Functional composition, allowing for additional languages, and different numbers of compass points – see the test section)

`use framework "Foundation"use scripting additions -- BOXING THE COMPASS -------------------------------------------------------- property plstLangs : [{|name|:"English"} & ¬    {expansions:{N:"north", S:"south", E:"east", W:"west", b:" by "}} & ¬    {|N|:"N", |NNNE|:"NbE", |NNE|:"N-NE", |NNENE|:"NEbN", |NE|:"NE", |NENEE|:"NEbE"} & ¬    {|NEE|:"E-NE", |NEEE|:"EbN", |E|:"E", |EEES|:"EbS", |EES|:"E-SE", |EESES|:"SEbE"} & ¬    {|ES|:"SE", |ESESS|:"SEbS", |ESS|:"S-SE", |ESSS|:"SbE", |S|:"S", |SSSW|:"SbW"} & ¬    {|SSW|:"S-SW", |SSWSW|:"SWbS", |SW|:"SW", |SWSWW|:"SWbW", |SWW|:"W-SW"} & ¬    {|SWWW|:"WbS", |W|:"W", |WWWN|:"WbN", |WWN|:"W-NW", |WWNWN|:"NWbW"} & ¬    {|WN|:"NW", |WNWNN|:"NWbN", |WNN|:"N-NW", |WNNN|:"NbW"}, ¬    ¬        {|name|:"Chinese", |N|:"北", |NNNE|:"北微东", |NNE|:"东北偏北"} & ¬    {|NNENE|:"东北微北", |NE|:"东北", |NENEE|:"东北微东", |NEE|:"东北偏东"} & ¬    {|NEEE|:"东微北", |E|:"东", |EEES|:"东微南", |EES|:"东南偏东", |EESES|:"东南微东"} & ¬    {|ES|:"东南", |ESESS|:"东南微南", |ESS|:"东南偏南", |ESSS|:"南微东", |S|:"南"} & ¬    {|SSSW|:"南微西", |SSW|:"西南偏南", |SSWSW|:"西南微南", |SW|:"西南"} & ¬    {|SWSWW|:"西南微西", |SWW|:"西南偏西", |SWWW|:"西微南", |W|:"西"} & ¬    {|WWWN|:"西微北", |WWN|:"西北偏西", |WWNWN|:"西北微西", |WN|:"西北"} & ¬    {|WNWNN|:"西北微北", |WNN|:"西北偏北", |WNNN|:"北微西"}] --  Scale invariant keys for points of the compass-- (allows us to look up a translation for one scale of compass (32 here)-- for use in another size of compass (8 or 16 points)-- (Also semi-serviceable as more or less legible keys without translation) -- compassKeys :: Int -> [String]on compassKeys(intDepth)    -- Simplest compass divides into two hemispheres    -- with one peak of ambiguity to the left,    -- and one to the right  (encoded by the commas in this list):    set urCompass to ["N", "S", "N"]     -- Necessity drives recursive subdivision of broader directions, shrinking    -- boxes down to a workable level of precision:    script subdivision        on |λ|(lstCompass, N)            if N ≤ 1 then                lstCompass            else                script subKeys                    on |λ|(a, x, i, xs)                        -- Borders between N and S engender E and W.                        -- further subdivisions (boxes)                         -- concatenate their two parent keys.                        if i > 1 then                            cond(N = intDepth, ¬                                a & {cond(x = "N", "W", "E")} & x, ¬                                a & {item (i - 1) of xs & x} & x)                        else                            a & x                        end if                    end |λ|                end script                 |λ|(foldl(subKeys, {}, lstCompass), N - 1)            end if        end |λ|    end script     tell subdivision to items 1 thru -2 of |λ|(urCompass, intDepth)end compassKeys -- pointIndex :: Int -> Num -> Stringon pointIndex(power, degrees)    set nBoxes to 2 ^ power    set i to round (degrees + (360 / (nBoxes * 2))) ¬        mod 360 * nBoxes / 360 rounding up    cond(i > 0, i, 1)end pointIndex -- pointNames :: Int -> Int -> [String]on pointNames(precision, iBox)    set k to item iBox of compassKeys(precision)     script translation        on |λ|(recLang)            set maybeTrans to keyValue(recLang, k)            set strBrief to cond(maybeTrans is missing value, k, maybeTrans)             set recExpand to keyValue(recLang, "expansions")             if recExpand is not missing value then                script expand                    on |λ|(c)                        set t to keyValue(recExpand, c)                        cond(t is not missing value, t, c)                    end |λ|                end script                set strName to (intercalate(cond(precision > 5, " ", ""), ¬                    map(expand, characters of strBrief)))                toUpper(text item 1 of strName) & text items 2 thru -1 of strName            else                strBrief            end if        end |λ|    end script     map(translation, plstLangs)end pointNames -- maxLen :: [String] -> Inton maxLen(xs)    length of maximumBy(comparing(my |length|), xs)end maxLen -- alignRight :: Int -> String -> Stringon alignRight(nWidth, x)    justifyRight(nWidth, space, x)end alignRight -- alignLeft :: Int -> String -> Stringon alignLeft(nWidth, x)    justifyLeft(nWidth, space, x)end alignLeft -- show :: asString => a -> Texton show(x)    x as stringend show -- compassTable :: Int -> [Num] -> Maybe Stringon compassTable(precision, xs)    if precision < 1 then        missing value    else        set intPad to 2        set rightAligned to curry(alignRight)        set leftAligned to curry(alignLeft)        set join to curry(my intercalate)         -- INDEX COLUMN        set lstIndex to map(|λ|(precision) of curry(pointIndex), xs)        set lstStrIndex to map(show, lstIndex)        set nIndexWidth to maxLen(lstStrIndex)        set colIndex to map(|λ|(nIndexWidth + intPad) of rightAligned, lstStrIndex)         -- ANGLES COLUMN        script degreeFormat            on |λ|(x)                set {c, m} to splitOn(".", x as string)                c & "." & (text 1 thru 2 of (m & "0")) & "°"            end |λ|        end script        set lstAngles to map(degreeFormat, xs)        set nAngleWidth to maxLen(lstAngles) + intPad        set colAngles to map(|λ|(nAngleWidth) of rightAligned, lstAngles)         -- NAMES COLUMNS        script precisionNames            on |λ|(iBox)                pointNames(precision, iBox)            end |λ|        end script         set lstTrans to transpose(map(precisionNames, lstIndex))        set lstTransWidths to map(maxLen, lstTrans)         script spacedNames            on |λ|(lstLang, i)                map(|λ|((item i of lstTransWidths) + 2) of leftAligned, lstLang)            end |λ|        end script         set colsTrans to map(spacedNames, lstTrans)         -- TABLE        intercalate(linefeed, ¬            map(|λ|("") of join, ¬                transpose({colIndex} & {colAngles} & ¬                    {replicate(length of lstIndex, "  ")} & colsTrans)))    end ifend compassTable   -- TEST ----------------------------------------------------------------------on run    set xs to [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, ¬        84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, ¬        185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, ¬        270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, ¬        354.38]     --   If we supply other precisions, like 4 or 6, (2^n -> 16 or 64 boxes)    --    the bearings will be divided amongst smaller or larger numbers of boxes,    --    either using name translations retrieved by the generic hash    --    or using the keys of the hash itself (combined with any expansions)    --    to substitute for missing names for very finely divided boxes.     compassTable(5, xs) -- // 2^5  -> 32 boxesend run  -- GENERIC FUNCTIONS --------------------------------------------------------- -- comparing :: (a -> b) -> (a -> a -> Ordering)on comparing(f)    set mf to mReturn(f)    script        on |λ|(a, b)            set x to mf's |λ|(a)            set y to mf's |λ|(b)            if x < y then                -1            else                if x > y then                    1                else                    0                end if            end if        end |λ|    end scriptend comparing -- cond :: Bool -> a -> a -> aon cond(bool, f, g)    if bool then        f    else        g    end ifend cond -- curry :: (Script|Handler) -> Scripton curry(f)    script        on |λ|(a)            script                on |λ|(b)                    |λ|(a, b) of mReturn(f)                end |λ|            end script        end |λ|    end scriptend curry -- foldl :: (a -> b -> a) -> a -> [b] -> aon 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 tellend foldl -- intercalate :: Text -> [Text] -> Texton intercalate(strText, lstText)    set {dlm, my text item delimiters} to {my text item delimiters, strText}    set strJoined to lstText as text    set my text item delimiters to dlm    return strJoinedend intercalate -- justifyLeft :: Int -> Char -> Text -> Texton justifyLeft(N, cFiller, strText)    if N > length of strText then        text 1 thru N of (strText & replicate(N, cFiller))    else        strText    end ifend justifyLeft -- justifyRight :: Int -> Char -> Text -> Texton justifyRight(N, cFiller, strText)    if N > length of strText then        text -N thru -1 of ((replicate(N, cFiller) as text) & strText)    else        strText    end ifend justifyRight -- keyValue :: Record -> String -> Maybe Stringon keyValue(rec, strKey)    set ca to current application    set v to (ca's NSDictionary's dictionaryWithDictionary:rec)'s objectForKey:strKey    if v is not missing value then        item 1 of ((ca's NSArray's arrayWithObject:v) as list)    else        missing value    end ifend keyValue -- length :: [a] -> Inton |length|(xs)    length of xsend |length| -- 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 tellend map -- maximumBy :: (a -> a -> Ordering) -> [a] -> a on maximumBy(f, xs)    set cmp to mReturn(f)    script max        on |λ|(a, b)            if a is missing value or cmp's |λ|(a, b) < 0 then                b            else                a            end if        end |λ|    end script     foldl(max, missing value, xs)end maximumBy -- Lift 2nd class handler function into 1st class script wrapper-- mReturn :: Handler -> Scripton mReturn(f)    if class of f is script then        f    else        script            property |λ| : f        end script    end ifend mReturn -- 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 & dblend replicate -- splitOn :: Text -> Text -> [Text]on splitOn(strDelim, strMain)    set {dlm, my text item delimiters} to {my text item delimiters, strDelim}    set xs to text items of strMain    set my text item delimiters to dlm    return xsend splitOn -- transpose :: [[a]] -> [[a]]on transpose(xss)    script column        on |λ|(_, iCol)            script row                on |λ|(xs)                    item iCol of xs                end |λ|            end script             map(row, xss)        end |λ|    end script     map(column, item 1 of xss)end transpose -- toLower :: String -> Stringon toLower(str)    set ca to current application    ((ca's NSString's stringWithString:(str))'s ¬        lowercaseStringWithLocale:(ca's NSLocale's currentLocale())) as textend toLower -- toTitle :: String -> Stringon toTitle(str)    set ca to current application    ((ca's NSString's stringWithString:(str))'s ¬        capitalizedStringWithLocale:(ca's NSLocale's currentLocale())) as textend toTitle -- toUpper :: String -> Stringon toUpper(str)    set ca to current application    ((ca's NSString's stringWithString:(str))'s ¬        uppercaseStringWithLocale:(ca's NSLocale's currentLocale())) as textend toUpper`
Output:
```   1    0.00°  North               北
2   16.87°  North by east       北微东
3   16.88°  North-northeast     东北偏北
4   33.75°  Northeast by north  东北微北
5   50.62°  Northeast           东北
6   50.63°  Northeast by east   东北微东
7   67.50°  East-northeast      东北偏东
8   84.37°  East by north       东微北
9   84.38°  East                东
10  101.25°  East by south       东微南
11  118.12°  East-southeast      东南偏东
12  118.13°  Southeast by east   东南微东
13  135.00°  Southeast           东南
14  151.87°  Southeast by south  东南微南
15  151.88°  South-southeast     东南偏南
16  168.75°  South by east       南微东
17  185.62°  South               南
18  185.63°  South by west       南微西
19  202.50°  South-southwest     西南偏南
20  219.37°  Southwest by south  西南微南
21  219.38°  Southwest           西南
22  236.25°  Southwest by west   西南微西
23  253.12°  West-southwest      西南偏西
24  253.13°  West by south       西微南
25  270.00°  West                西
26  286.87°  West by north       西微北
27  286.88°  West-northwest      西北偏西
28  303.75°  Northwest by west   西北微西
29  320.62°  Northwest           西北
30  320.63°  Northwest by north  西北微北
31  337.50°  North-northwest     西北偏北
32  354.37°  North by west       北微西
1  354.38°  North               北     ```

AutoHotkey

Translation of: C++
Works with: AutoHotkey_L
`get_Index(angle){    return Mod(floor(angle / 11.25 +0.5), 32) + 1} get_Abbr_From_Index(i){    static points       := [ "N", "NbE", "NNE", "NEbN", "NE", "NEbE", "ENE", "EbN"           ,"E", "EbS", "ESE", "SEbE", "SE", "SEbS", "SSE", "SbE"           ,"S", "SbW", "SSW", "SWbS", "SW", "SWbW", "WSW", "WbS"           ,"W", "WbN", "WNW", "NWbW", "NW", "NWbN", "NNW", "NbW" ]    return points[i]} Build_Name_From_Abbr(a){    Loop Parse, a    {        i := A_Index        if ((i = 2) && (SubStr(a, i, 1) != "b") && (StrLen(a) == 3))            retval .= "-"        retval .= {N: "north", S: "south", E: "east"                 , W: "west" , b: " by "}[A_LoopField]    }    return Chr(Asc(SubStr(retval, 1, 1))-32) . SubStr(retval, 2)} ; test headings:= [0.00, 16.87, 16.88, 33.75, 50.62, 50.63, 67.50, 84.37, 84.38, 101.25          , 118.12, 118.13, 135.00, 151.87, 151.88, 168.75, 185.62, 185.63          , 202.50, 219.37, 219.38, 236.25, 253.12, 253.13, 270.00, 286.87          , 286.88, 303.75, 320.62, 320.63, 337.50, 354.37, 354.38]For n, a in headings{    i := get_Index(a)    out .= SubStr(" " i, -1) " "        . SubStr(Build_Name_From_Abbr(get_Abbr_From_Index(i))        . "                    ", 1, 24) . SubStr("  " a, -5)  . "`r`n" ; }clipboard := out`
Output
``` 1 North                     0.00
2 North by east            16.87
3 North-northeast          16.88
4 Northeast by north       33.75
5 Northeast                50.62
6 Northeast by east        50.63
7 East-northeast           67.50
8 East by north            84.37
9 East                     84.38
10 East by south           101.25
11 East-southeast          118.12
12 Southeast by east       118.13
13 Southeast               135.00
14 Southeast by south      151.87
15 South-southeast         151.88
16 South by east           168.75
17 South                   185.62
18 South by west           185.63
19 South-southwest         202.50
20 Southwest by south      219.37
21 Southwest               219.38
22 Southwest by west       236.25
23 West-southwest          253.12
24 West by south           253.13
25 West                    270.00
26 West by north           286.87
27 West-northwest          286.88
28 Northwest by west       303.75
29 Northwest               320.62
30 Northwest by north      320.63
31 North-northwest         337.50
32 North by west           354.37
1 North                   354.38```

AutoIt

` Local \$avArray[33] = [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, _		151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, _		303.75, 320.62, 320.63, 337.5, 354.37, 354.38] For \$i = 0 To UBound(\$avArray) - 1	Boxing_the_compass(\$avArray[\$i])Next Func Boxing_the_compass(\$Degree)	Local \$namearray[33] = ["North", "North by east", "North-northeast", "Northeast by north", "Northeast", _			"Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast", _			"Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South", _			"South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest", _			"West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north", _			"North-northwest", "North by west", "North"]	ConsoleWrite(StringFormat("%-2s", Mod(Floor(\$Degree / 11.25 + 0.5), 32)) & " : " & _			StringFormat("%-20s", \$namearray[Mod(Floor(\$Degree / 11.25 + 0.5), 32)]) & " : " & \$Degree & @CRLF)EndFunc   ;==>Boxing_the_compass `
Output :
```0  : North                : 0
1  : North by east        : 16.87
2  : North-northeast      : 16.88
3  : Northeast by north   : 33.75
4  : Northeast            : 50.62
5  : Northeast by east    : 50.63
6  : East-northeast       : 67.5
7  : East by north        : 84.37
8  : East                 : 84.38
9  : East by south        : 101.25
10 : East-southeast       : 118.12
11 : Southeast by east    : 118.13
12 : Southeast            : 135
13 : Southeast by south   : 151.87
14 : South-southeast      : 151.88
15 : South by east        : 168.75
16 : South                : 185.62
17 : South by west        : 185.63
18 : South-southwest      : 202.5
19 : Southwest by south   : 219.37
20 : Southwest            : 219.38
21 : Southwest by west    : 236.25
22 : West-southwest       : 253.12
23 : West by south        : 253.13
24 : West                 : 270
25 : West by north        : 286.87
26 : West-northwest       : 286.88
27 : Northwest by west    : 303.75
28 : Northwest            : 320.62
29 : Northwest by north   : 320.63
30 : North-northwest      : 337.5
31 : North by west        : 354.37
0  : North                : 354.38```

AWK

`#!/usr/bin/awk -fBEGIN {  split("N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW WSW WbS W WbN WNW NWbW NW NWbN NNW NbW",A," "); } function ceil(x) {	y = int(x)	return y < x ? y + 1 : y} function compassbox(d) {    return ceil( ( (d + 360 / 64) % 360) * 32 / 360); } {     box = compassbox(\$1);    printf "%6.2f : %2d\t%s\n",\$1,box,A[box];} `

Output:

```  0.00 :  1	N
16.87 :  2	NbE
16.88 :  3	NNE
33.75 :  4	NEbN
50.62 :  5	NE
50.63 :  6	NEbE
67.50 :  7	ENE
84.37 :  8	EbN
84.38 :  9	E
101.25 : 10	EbS
118.12 : 11	ESE
118.13 : 12	SEbE
135.00 : 13	SE
151.87 : 14	SEbS
151.88 : 15	SSE
168.75 : 16	SbE
185.62 : 17	S
185.63 : 18	SbW
202.50 : 19	SSW
219.37 : 20	SWbS
219.38 : 21	SW
236.25 : 22	SWbW
253.12 : 23	WSW
253.13 : 24	WbS
270.00 : 25	W
286.87 : 26	WbN
286.88 : 27	WNW
303.75 : 28	NWbW
320.62 : 29	NW
320.63 : 30	NWbN
337.50 : 31	NNW
354.37 : 32	NbW
354.38 :  1	N```

BBC BASIC

`      DIM bearing(32)      bearing() = 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, \      \ 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, \      \ 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, \      \ 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38       FOR i% = 0 TO 32        box% = FNcompassbox(bearing(i%), compass\$)        PRINT ; bearing(i%), ; box%, compass\$      NEXT      END       DEF FNcompassbox(bearing, RETURN box\$)      LOCAL pt%      pt% = INT(bearing / 360 * 32 + 0.5) MOD 32      box\$ = FNpt(pt%)      LEFT\$(box\$,1) = CHR\$(ASC(LEFT\$(box\$,1))-32)      = pt% + 1       DEF FNpt(pt%)      LOCAL pt\$() : DIM pt\$(3)      IF pt% AND 1 THEN = FNpt((pt% + 1) AND 28) + " by " + \      \                   FNpt(((2 - (pt% AND 2)) * 4) + pt% AND 24)      IF pt% AND 2 THEN = FNpt((pt% + 2) AND 24) + "-" + FNpt((pt% OR 4) AND 28)      IF pt% AND 4 THEN = FNpt((pt% + 8) AND 16) + FNpt((pt% OR 8) AND 24)      pt\$() = "north", "east", "south", "west"      = pt\$(pt% DIV 8) `

Output:

```0         1         North
16.87     2         North by east
16.88     3         North-northeast
33.75     4         Northeast by north
50.62     5         Northeast
50.63     6         Northeast by east
67.5      7         East-northeast
84.37     8         East by north
84.38     9         East
101.25    10        East by south
118.12    11        East-southeast
118.13    12        Southeast by east
135       13        Southeast
151.87    14        Southeast by south
151.88    15        South-southeast
168.75    16        South by east
185.62    17        South
185.63    18        South by west
202.5     19        South-southwest
219.37    20        Southwest by south
219.38    21        Southwest
236.25    22        Southwest by west
253.12    23        West-southwest
253.13    24        West by south
270       25        West
286.87    26        West by north
286.88    27        West-northwest
303.75    28        Northwest by west
320.62    29        Northwest
320.63    30        Northwest by north
337.5     31        North-northwest
354.37    32        North by west
354.38    1         North```

Befunge

`>>::"}"9**\4+3%79*9*5-*79*9*5--+:5>>>06p:55+%68*+v^[email protected]#!`*84:+1<v*9"}"*+55,,,".",,,\$\$_^#!:-1g60/+55\<>_06g:v>55+,^>/5+55+/48*::::,,,,%:1+.9,:06p48*\-0v|p60-1<|<!p80:<N|Ev"northwest"0"North by west"0p8<>:#,_>>>_08g1-^W|S>"-htroN"0"htron yb tsewhtroN"0v#v"est-northwest"0"Northwest by west"0"Northwest"<N>"W"0"htron yb tseW"0"tseW"0"htuos yb tseW"0"ts"v#v0"Southwest"0"Southwest by west"0"West-southwe"<S>"htuos yb tsewhtuoS"0"tsewhtuos-htuoS"0"tsew y"v#v"h-southeast"0"South by east"0"South"0"South b"<E>"tuoS"0"htuos yb tsaehtuoS"0"tsaehtuoS"0"tsae "v#v"East by south"0"East-southeast"0"Southeast by"<W>0"tsaE"0"htron yb tsaE"0"tsaehtron-tsaE"0"tsae"v#v"rtheast by north"0"Northeast"0"Northeast by "<<^>"oN"0"tsaehtron-htroN"0"tsae yb htroN"0"htroN"01`
Output:
```000.00    1     North
016.87    2     North by east
016.88    3     North-northeast
033.75    4     Northeast by north
050.62    5     Northeast
050.63    6     Northeast by east
067.50    7     East-northeast
084.37    8     East by north
084.38    9     East
101.25    10    East by south
118.12    11    East-southeast
118.13    12    Southeast by east
135.00    13    Southeast
151.87    14    Southeast by south
151.88    15    South-southeast
168.75    16    South by east
185.62    17    South
185.63    18    South by west
202.50    19    South-southwest
219.37    20    Southwest by south
219.38    21    Southwest
236.25    22    Southwest by west
253.12    23    West-southwest
253.13    24    West by south
270.00    25    West
286.87    26    West by north
286.88    27    West-northwest
303.75    28    Northwest by west
320.62    29    Northwest
320.63    30    Northwest by north
337.50    31    North-northwest
354.37    32    North by west
354.38    1     North```

C

Like Wikipedia's article, this program uses indexes to count the headings. There are now 33 headings, from 1 to 33, because 0.0 and 354.38 are different angles. (This differs from the task pseudocode, which mapped the 32 compass points to indexes.)

`#include <stdio.h> int main(){        int i, j;        double degrees[] = { 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5,                84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88,                168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12,                253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5,                354.37, 354.38 };        const char * names =  "North                 "                              "North by east         "                              "North-northeast       "                              "Northeast by north    "                              "Northeast             "                              "Northeast by east     "                              "East-northeast        "                              "East by north         "                              "East                  "                              "East by south         "                              "East-southeast        "                              "Southeast by east     "                              "Southeast             "                              "Southeast by south    "                              "South-southeast       "                              "South by east         "                              "South                 "                              "South by west         "                              "South-southwest       "                              "Southwest by south    "                              "Southwest             "                              "Southwest by west     "                              "West-southwest        "                              "West by south         "                              "West                  "                              "West by north         "                              "West-northwest        "                              "Northwest by west     "                              "Northwest             "                              "Northwest by north    "                              "North-northwest       "                              "North by west         "                              "North                 ";         for (i = 0; i < 33; i++) {                j = .5 + degrees[i] * 32 / 360;                 printf("%2d  %.22s  %6.2f\n", (j % 32) + 1, names + (j % 32) * 22,                        degrees[i]);        }         return 0;}`
Output:
``` 1  North                     0.00
2  North by east            16.87
3  North-northeast          16.88
4  Northeast by north       33.75
5  Northeast                50.62
6  Northeast by east        50.63
7  East-northeast           67.50
8  East by north            84.37
9  East                     84.38
10  East by south           101.25
11  East-southeast          118.12
12  Southeast by east       118.13
13  Southeast               135.00
14  Southeast by south      151.87
15  South-southeast         151.88
16  South by east           168.75
17  South                   185.62
18  South by west           185.63
19  South-southwest         202.50
20  Southwest by south      219.37
21  Southwest               219.38
22  Southwest by west       236.25
23  West-southwest          253.12
24  West by south           253.13
25  West                    270.00
26  West by north           286.87
27  West-northwest          286.88
28  Northwest by west       303.75
29  Northwest               320.62
30  Northwest by north      320.63
31  North-northwest         337.50
32  North by west           354.37
1  North                   354.38
```

C++

Using the Boost libraries

Library: Boost
`#include <string>#include <boost/array.hpp>#include <boost/assign/list_of.hpp>#include <boost/format.hpp>#include <boost/foreach.hpp>#include <iostream>#include <math.h>using std::string;using namespace boost::assign; int get_Index(float angle){   return static_cast<int>(floor(angle / 11.25 +0.5 )) % 32 + 1;} string get_Abbr_From_Index(int i){    static boost::array<std::string, 32> points(list_of            ("N")("NbE")("NNE")("NEbN")("NE")("NEbE")("ENE")("EbN")            ("E")("EbS")("ESE")("SEbE")("SE")("SEbS")("SSE")("SbE")            ("S")("SbW")("SSW")("SWbS")("SW")("SWbW")("WSW")("WbS")            ("W")("WbN")("WNW")("NWbW")("NW")("NWbN")("NNW")("NbW"));    return points[i-1];} string Build_Name_From_Abbreviation(string a){    string retval;    for (int i = 0; i < a.size(); ++i){        if ((1 == i) && (a[i] != 'b') && (a.size() == 3)) retval += "-";        switch (a[i]){            case 'N' : retval += "north"; break;             case 'S' : retval += "south"; break;             case 'E' : retval += "east";  break;             case 'W' : retval += "west";  break;             case 'b' : retval += " by ";  break;        }    }    retval[0] = toupper(retval[0]);    return retval;} int main(){    boost::array<float,33> headings(list_of            (0.0)(16.87)(16.88)(33.75)(50.62)(50.63)(67.5)(84.37)(84.38)(101.25)            (118.12)(118.13)(135.0)(151.87)(151.88)(168.75)(185.62)(185.63)(202.5)            (219.37)(219.38)(236.25)(253.12)(253.13)(270.0)(286.87)(286.88)(303.75)            (320.62)(320.63)(337.5)(354.37)(354.38));    int i;    boost::format f("%1\$4d %2\$-20s %3\$_7.2f");     BOOST_FOREACH(float a, headings)    {        i = get_Index(a);        std::cout << f % i %  Build_Name_From_Abbreviation(get_Abbr_From_Index(i)) % a << std::endl;    }    return 0;}`

Output:

```   1 North                   0.00
2 North by east          16.87
3 North-northeast        16.88
4 Northeast by north     33.75
5 Northeast              50.62
6 Northeast by east      50.63
7 East-northeast         67.50
8 East by north          84.37
9 East                   84.38
10 East by south         101.25
11 East-southeast        118.12
12 Southeast by east     118.13
13 Southeast             135.00
14 Southeast by south    151.87
15 South-southeast       151.88
16 South by east         168.75
17 South                 185.62
18 South by west         185.63
19 South-southwest       202.50
20 Southwest by south    219.37
21 Southwest             219.38
22 Southwest by west     236.25
23 West-southwest        253.12
24 West by south         253.13
25 West                  270.00
26 West by north         286.87
27 West-northwest        286.88
28 Northwest by west     303.75
29 Northwest             320.62
30 Northwest by north    320.63
31 North-northwest       337.50
32 North by west         354.37
1 North                 354.38
```

C#

` using System;using System.Collections.Generic; namespace BoxTheCompass{    class Compass    {        string[] cp = new string[] {"North", "North by east", "North-northeast", "Northeast by north", "Northeast","Northeast by east", 	    "East-northeast", "East by north", "East", "East by south", "East-southeast", "Southeast by east", "Southeast",             "Southeast by south", "South-southeast", "South by east", "South", "South by west", "South-southwest", "Southwest by south",             "Southwest", "Southwest by west", "West-southwest", "West by south", "West", "West by north", "West-northwest",             "Northwest by west", "Northwest", "Northwest by north", "North-northwest", "North by west", "North"};         public void compassHeading(float a)        {            int h = Convert.ToInt32(Math.Floor(a / 11.25f + .5f)) % 32;            Console.WriteLine( "{0,2}: {1,-22} : {2,6:N}",h + 1, cp[h], a );        }    };    class Program    {        static void Main(string[] args)       {            Compass c = new Compass();            float[] degs = new float[] {0.0f, 16.87f, 16.88f, 33.75f, 50.62f, 50.63f, 67.5f, 84.37f, 84.38f, 101.25f,                 118.12f, 118.13f, 135.0f, 151.87f, 151.88f, 168.75f, 185.62f, 185.63f, 202.5f, 219.37f, 219.38f, 236.25f,                 253.12f, 253.13f, 270.0f, 286.87f, 286.88f, 303.75f, 320.62f, 320.63f, 337.5f, 354.37f, 354.38f};             foreach (float d in degs)                c.compassHeading(d);             Console.WriteLine("\nPress any key to continue...");            Console.ReadKey();        }    }} `
Output:
``` 1: North                  :   0.00
2: North by east          :  16.87
3: North-northeast        :  16.88
4: Northeast by north     :  33.75
5: Northeast              :  50.62
6: Northeast by east      :  50.63
7: East-northeast         :  67.50
8: East by north          :  84.37
9: East                   :  84.38
10: East by south          : 101.25
11: East-southeast         : 118.12
12: Southeast by east      : 118.13
13: Southeast              : 135.00
14: Southeast by south     : 151.87
15: South-southeast        : 151.88
16: South by east          : 168.75
17: South                  : 185.62
18: South by west          : 185.63
19: South-southwest        : 202.50
20: Southwest by south     : 219.37
21: Southwest              : 219.38
22: Southwest by west      : 236.25
23: West-southwest         : 253.12
24: West by south          : 253.13
25: West                   : 270.00
26: West by north          : 286.87
27: West-northwest         : 286.88
28: Northwest by west      : 303.75
29: Northwest              : 320.62
30: Northwest by north     : 320.63
31: North-northwest        : 337.50
32: North by west          : 354.37
1: North                  : 354.38
```

Clojure

Translation of: Tcl
`(ns boxing-the-compass  (:use [clojure.string :only [capitalize]])) (def headings     (for [i (range 0 (inc 32))]       (let [heading (* i 11.25)]	 (case (mod i 3)	       1 (+ heading 5.62)	       2 (- heading 5.62)	       heading)))) (defn angle2compass  [angle]  (let [dirs ["N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"	      "E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"	      "S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"	      "W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"]	unpack {\N "north" \E "east" \W "west" \S "south" \b " by " \- "-"}	sep  (/ 360 (count dirs))	dir  (int (/ (mod (+ angle (/ sep 2)) 360) sep))]    (capitalize (apply str (map unpack (dirs dir)))))) (print (apply str (map-indexed #(format "%2s %-18s %7.2f\n"				  (inc (mod %1 32)) (angle2compass %2) %2)			 headings)))`

Output:

``` 1 North                 0.00
2 North by east        16.87
3 North-northeast      16.88
4 Northeast by north   33.75
5 Northeast            50.62
6 Northeast by east    50.63
7 East-northeast       67.50
8 East by north        84.37
9 East                 84.38
10 East by south       101.25
11 East-southeast      118.12
12 Southeast by east   118.13
13 Southeast           135.00
14 Southeast by south  151.87
15 South-southeast     151.88
16 South by east       168.75
17 South               185.62
18 South by west       185.63
19 South-southwest     202.50
20 Southwest by south  219.37
21 Southwest           219.38
22 Southwest by west   236.25
23 West-southwest      253.12
24 West by south       253.13
25 West                270.00
26 West by north       286.87
27 West-northwest      286.88
28 Northwest by west   303.75
29 Northwest           320.62
30 Northwest by north  320.63
31 North-northwest     337.50
32 North by west       354.37
1 North               354.38```

COBOL

Works with GnuCOBOL

`       identification division.       program-id. box-compass.       data division.       working-storage section.       01 point                pic 99.       01 degrees              usage float-short.       01 degrees-rounded      pic 999v99.       01 show-degrees         pic zz9.99.       01 box                  pic z9.       01 fudge                pic 9.       01 compass              pic x(4).       01 compass-point        pic x(18).       01 shortform            pic x.       01 short-names.          05 short-name        pic x(4) occurs 33 times.       01 overlay.          05 value "N   " & "NbE " & "N-NE" & "NEbN" & "NE  " &                   "NEbE" & "E-NE" & "EbN " & "E   " & "EbS " &                   "E-SE" & "SEbE" & "SE  " & "SEbS" & "S-SE" &                   "SbE " & "S   " & "SbW " & "S-SW" & "SWbS" &                   "SW  " & "SWbW" & "W-SW" & "WbS " & "W   " &                   "WbN " & "W-NW" & "NWbW" & "NW  " & "NWbN" &                   "N-NW" & "NbW " & "N   ".        procedure division.       display "Index Compass point      Degree"        move overlay to short-names.       perform varying point from 0 by 1 until point > 32           compute box = function mod(point 32) + 1           compute degrees = point * 11.25           compute fudge = function mod(point 3)           evaluate fudge              when equal 1                  add 5.62 to degrees              when equal 2                  subtract 5.62 from degrees           end-evaluate            compute degrees-rounded rounded = degrees           move degrees-rounded to show-degrees           inspect show-degrees replacing trailing '00' by '0 '           inspect show-degrees replacing trailing '50' by '5 '            move short-name(point + 1) to compass           move spaces to compass-point           display space box space space space with no advancing           perform varying tally from 1 by 1 until tally > 4               move compass(tally:1) to shortform               move function concatenate(function trim(compass-point),                    function substitute(shortform,                        "N", "North",                        "E", "East",                        "S", "South",                        "W", "West",                        "b", " byZ",                        "-", "-"))                 to compass-point           end-perform           move function substitute(compass-point, "Z", " ")             to compass-point           move function lower-case(compass-point) to compass-point           move function upper-case(compass-point(1:1))             to compass-point(1:1)           display compass-point space show-degrees       end-perform       goback.`
Output:
```Index Compass point      Degree
1   North                0.0
2   North by east       16.87
3   North-northeast     16.88
4   Northeast by north  33.75
5   Northeast           50.62
6   Northeast by east   50.63
7   East-northeast      67.5
8   East by north       84.37
9   East                84.38
10   East by south      101.25
11   East-southeast     118.12
12   Southeast by east  118.13
13   Southeast          135.0
14   Southeast by south 151.87
15   South-southeast    151.88
16   South by east      168.75
17   South              185.62
18   South by west      185.63
19   South-southwest    202.5
20   Southwest by south 219.37
21   Southwest          219.38
22   Southwest by west  236.25
23   West-southwest     253.12
24   West by south      253.13
25   West               270.0
26   West by north      286.87
27   West-northwest     286.88
28   Northwest by west  303.75
29   Northwest          320.62
30   Northwest by north 320.63
31   North-northwest    337.5
32   North by west      354.37
1   North              354.38
```

D

Translation of: Java
`import std.stdio, std.string, std.math, std.array; struct boxTheCompass {    immutable static string[32] points;     pure nothrow static this() {        immutable cardinal = ["north", "east", "south", "west"];        immutable desc = ["1", "1 by 2", "1-C", "C by 1", "C",                          "C by 2", "2-C", "2 by 1"];         foreach (immutable i; 0 .. 4) {            immutable s1 = cardinal[i];            immutable s2 = cardinal[(i + 1) % 4];            immutable sc = (s1 == "north" || s1 == "south") ?                           (s1 ~ s2) : (s2 ~ s1);            foreach (immutable j; 0 .. 8)                points[i * 8 + j] = desc[j].replace("1", s1).                                    replace("2", s2).replace("C", sc);        }    }     static string opCall(in double degrees) pure /*nothrow*/ {        immutable testD = (degrees / 11.25) + 0.5;        return points[cast(int)floor(testD % 32)].capitalize;    }} void main() {    foreach (immutable i; 0 .. 33) {        immutable heading = i * 11.25 + [0, 5.62, -5.62][i % 3];        writefln("%s\t%18s\t%s", i % 32 + 1,                 heading.boxTheCompass, heading);    }}`
Output:
```1                North  0
2        North by east  16.87
3      North-northeast  16.88
4   Northeast by north  33.75
5            Northeast  50.62
6    Northeast by east  50.63
7       East-northeast  67.5
8        East by north  84.37
9                 East  84.38
10       East by south  101.25
11      East-southeast  118.12
12   Southeast by east  118.13
13           Southeast  135
14  Southeast by south  151.87
15     South-southeast  151.88
16       South by east  168.75
17               South  185.62
18       South by west  185.63
19     South-southwest  202.5
20  Southwest by south  219.37
21           Southwest  219.38
22   Southwest by west  236.25
23      West-southwest  253.12
24       West by south  253.13
25                West  270
26       West by north  286.87
27      West-northwest  286.88
28   Northwest by west  303.75
29           Northwest  320.62
30  Northwest by north  320.63
31     North-northwest  337.5
32       North by west  354.37
1                North  354.38```

Alternative version

`void main() {    import std.stdio;     immutable box = [        "North", "North by east", "North-northeast", "Northeast by north",        "Northeast", "Northeast by east", "East-northeast", "East by north",        "East", "East by south", "East-southeast", "Southeast by east",        "Southeast", "Southeast by south", "South-southeast", "South by east",        "South", "South by west", "South-southwest", "Southwest by south",        "Southwest", "Southwest by west", "West-southwest", "West by south",        "West", "West by north", "West-northwest", "Northwest by west",        "Northwest", "Northwest by north", "North-northwest", "North by west"];     immutable angles = [        0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38,        101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62,        185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0,        286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38];     foreach (immutable phi; angles) {        immutable i = (cast(int)(phi * 32.0 / 360.0 + 0.5)) % 32;        writefln("%2d %18s %6.2f", i + 1, box[i], phi);    }}`
Output:
``` 1              North   0.00
2      North by east  16.87
3    North-northeast  16.88
4 Northeast by north  33.75
5          Northeast  50.62
6  Northeast by east  50.63
7     East-northeast  67.50
8      East by north  84.37
9               East  84.38
10      East by south 101.25
11     East-southeast 118.12
12  Southeast by east 118.13
13          Southeast 135.00
14 Southeast by south 151.87
15    South-southeast 151.88
16      South by east 168.75
17              South 185.62
18      South by west 185.63
19    South-southwest 202.50
20 Southwest by south 219.37
21          Southwest 219.38
22  Southwest by west 236.25
23     West-southwest 253.12
24      West by south 253.13
25               West 270.00
26      West by north 286.87
27     West-northwest 286.88
28  Northwest by west 303.75
29          Northwest 320.62
30 Northwest by north 320.63
31    North-northwest 337.50
32      North by west 354.37
1              North 354.38```

Elixir

Translation of: Ruby
`defmodule Box do  defp head do    Enum.chunk(~w(north east south west north), 2, 1)    |> Enum.flat_map(fn [a,b] ->         c = if a=="north" or a=="south", do: "#{a}#{b}", else: "#{b}#{a}"         [ a, "#{a} by #{b}", "#{a}-#{c}", "#{c} by #{a}",           c, "#{c} by #{b}", "#{b}-#{c}", "#{b} by #{a}" ]       end)    |> Enum.with_index    |> Enum.map(fn {s, i} -> {i+1, String.capitalize(s)} end)    |> Map.new  end   def compass do    header = head()    angles = Enum.map(0..32, fn i -> i * 11.25 + elem({0, 5.62, -5.62}, rem(i, 3)) end)    Enum.each(angles, fn degrees ->      index = rem(round(32 * degrees / 360), 32) + 1      :io.format "~2w  ~-20s ~6.2f~n", [index, header[index], degrees]    end)  endend Box.compass`
Output:
``` 1  North                  0.00
2  North by east         16.87
3  North-northeast       16.88
4  Northeast by north    33.75
5  Northeast             50.62
6  Northeast by east     50.63
7  East-northeast        67.50
8  East by north         84.37
9  East                  84.38
10  East by south        101.25
11  East-southeast       118.12
12  Southeast by east    118.13
13  Southeast            135.00
14  Southeast by south   151.87
15  South-southeast      151.88
16  South by east        168.75
17  South                185.62
18  South by west        185.63
19  South-southwest      202.50
20  Southwest by south   219.37
21  Southwest            219.38
22  Southwest by west    236.25
23  West-southwest       253.12
24  West by south        253.13
25  West                 270.00
26  West by north        286.87
27  West-northwest       286.88
28  Northwest by west    303.75
29  Northwest            320.62
30  Northwest by north   320.63
31  North-northwest      337.50
32  North by west        354.37
1  North                354.38
```

Euphoria

`constant names = {"North","North by east","North-northeast","Northeast by north",    "Northeast","Northeast by east","East-northeast","East by north","East",    "East by south","East-southeast","Southeast by east","Southeast","Southeast by south",    "South-southeast","South by east","South","South by west","South-southwest",    "Southwest by south","Southwest","Southwest by west","West-southwest",    "West by south","West","West by north","West-northwest","Northwest by west",    "Northwest","Northwest by north","North-northwest","North by west"} function deg2ind(atom degree)    return remainder(floor(degree*32/360+.5),32)+1end function sequence degreesdegrees = {}for i = 0 to 32 do    degrees &= i*11.25 + 5.62*(remainder(i+1,3)-1)end for integer jfor i = 1 to length(degrees) do    j = deg2ind(degrees[i])    printf(1, "%6.2f  %2d  %-22s\n", {degrees[i], j, names[j]})end for`

Output:

```  0.00   1  North
16.87   2  North by east
16.88   3  North-northeast
33.75   4  Northeast by north
50.62   5  Northeast
50.63   6  Northeast by east
67.50   7  East-northeast
84.37   8  East by north
84.38   9  East
101.25  10  East by south
118.12  11  East-southeast
118.13  12  Southeast by east
135.00  13  Southeast
151.87  14  Southeast by south
151.88  15  South-southeast
168.75  16  South by east
185.62  17  South
185.63  18  South by west
202.50  19  South-southwest
219.37  20  Southwest by south
219.38  21  Southwest
236.25  22  Southwest by west
253.12  23  West-southwest
253.13  24  West by south
270.00  25  West
286.87  26  West by north
286.88  27  West-northwest
303.75  28  Northwest by west
320.62  29  Northwest
320.63  30  Northwest by north
337.50  31  North-northwest
354.37  32  North by west
354.38   1  North```

F#

Translation of: Perl
`let box = [|    "North"; "North by east"; "North-northeast"; "Northeast by north";    "Northeast"; "Northeast by east"; "East-northeast"; "East by north";    "East"; "East by south"; "East-southeast"; "Southeast by east";    "Southeast"; "Southeast by south"; "South-southeast"; "South by east";    "South"; "South by west"; "South-southwest"; "Southwest by south";    "Southwest"; "Southwest by west"; "West-southwest"; "West by south";    "West"; "West by north"; "West-northwest"; "Northwest by west";    "Northwest"; "Northwest by north"; "North-northwest"; "North by west" |] [ 0.0; 16.87; 16.88; 33.75; 50.62; 50.63; 67.5; 84.37; 84.38;101.25; 118.12; 118.13; 135.0; 151.87; 151.88; 168.75; 185.62;185.63; 202.5; 219.37; 219.38; 236.25; 253.12; 253.13; 270.0;286.87; 286.88; 303.75; 320.62; 320.63; 337.5; 354.37; 354.38 ]|> List.iter (fun phi ->    let i =  (int (phi * 32. / 360. + 0.5)) % 32    printf "%3d %18s %6.2f°\n" (i + 1) box.[i] phi)`
Output:
```  1              North   0.00°
2      North by east  16.87°
3    North-northeast  16.88°
4 Northeast by north  33.75°
5          Northeast  50.62°
6  Northeast by east  50.63°
7     East-northeast  67.50°
8      East by north  84.37°
9               East  84.38°
10      East by south 101.25°
11     East-southeast 118.12°
12  Southeast by east 118.13°
13          Southeast 135.00°
14 Southeast by south 151.87°
15    South-southeast 151.88°
16      South by east 168.75°
17              South 185.62°
18      South by west 185.63°
19    South-southwest 202.50°
20 Southwest by south 219.37°
21          Southwest 219.38°
22  Southwest by west 236.25°
23     West-southwest 253.12°
24      West by south 253.13°
25               West 270.00°
26      West by north 286.87°
27     West-northwest 286.88°
28  Northwest by west 303.75°
29          Northwest 320.62°
30 Northwest by north 320.63°
31    North-northwest 337.50°
32      North by west 354.37°
1              North 354.38°```

Fortran

Works with: Fortran version 90 and later
`Program Compass  implicit none   integer :: i, ind  real :: heading   do i = 0, 32    heading = i * 11.25    if (mod(i, 3) == 1) then      heading = heading + 5.62    else if (mod(i, 3) == 2) then            heading = heading - 5.62    end if    ind = mod(i, 32) + 1    write(*, "(i2, a20, f8.2)") ind, compasspoint(heading), heading  end do contains function compasspoint(h)  character(18) :: compasspoint  character(18) :: points(32) = (/ "North             ", "North by east     ", "North-northeast   ", &              "Northeast by north", "Northeast         ", "Northeast by east ", "East-northeast    ", &             "East by north     ", "East              ", "East by south     ", "East-southeast    ", &             "Southeast by east ", "Southeast         ", "Southeast by south", "South-southeast   ", &             "South by east     ", "South             ", "South by west     ", "South-southwest   ", &             "Southwest by south", "Southwest         ", "Southwest by west ", "West-southwest    ", &             "West by south     ", "West              ", "West by north     ", "West-northwest    ", &             "Northwest by west ", "Northwest         ", "Northwest by north", "North-northwest   ", &             "North by west     "  /)    real, intent(in) :: h  real :: x   x = h / 11.25 + 1.5  if (x >= 33.0) x = x - 32.0  compasspoint = points(int(x))end function compasspointend program Compass`

Output:

``` 1  North                 0.00
2  North by east        16.87
3  North-northeast      16.88
4  Northeast by north   33.75
5  Northeast            50.62
6  Northeast by east    50.63
7  East-northeast       67.50
8  East by north        84.37
9  East                 84.38
10  East by south       101.25
11  East-southeast      118.12
12  Southeast by east   118.13
13  Southeast           135.00
14  Southeast by south  151.87
15  South-southeast     151.88
16  South by east       168.75
17  South               185.62
18  South by west       185.63
19  South-southwest     202.50
20  Southwest by south  219.37
21  Southwest           219.38
22  Southwest by west   236.25
23  West-southwest      253.12
24  West by south       253.13
25  West                270.00
26  West by north       286.87
27  West-northwest      286.88
28  Northwest by west   303.75
29  Northwest           320.62
30  Northwest by north  320.63
31  North-northwest     337.50
32  North by west       354.37
1  North               354.38```

FreeBASIC

`' version 04-11-2016' compile with: fbc -s console Dim As String names(0 To ...) = { "North", "North by east", "North-northeast", _     "Northeast by north", "Northeast", "Northeast by east", "East-northeast", _                   "East by north", "East", "East by south", "East-southeast", _    "Southeast by east", "Southeast", "Southeast by south", "South-southeast", _                 "South by east", "South", "South by west", "South-southwest", _     "Southwest by south", "Southwest", "Southwest by west", "West-southwest", _                   "West by south", "West", "West by north", "West-northwest", _    "Northwest by west", "Northwest", "Northwest by north", "North-northwest", _                                                     "North by west", "North" } Dim As Double degrees(0 To ...) = { 0, 16.87, 16.88, 33.75, 50.62, 50.63, _ 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135, 151.87, 151.88, 168.75, _      185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270, _           286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38 } Dim As ULong i, j For i = LBound(degrees) To UBound(degrees)    j = Int((degrees(i) + 5.625) / 11.25)    If j > 31 Then j = j - 32    Print Using "####.##  ##  "; degrees(i); j;    Print names(j)Next ' empty keyboard bufferWhile Inkey <> "" : WendPrint : Print "hit any key to end program"SleepEnd`
Output:
```   0.00   0  North
16.87   1  North by east
16.88   2  North-northeast
33.75   3  Northeast by north
50.62   4  Northeast
50.63   5  Northeast by east
67.50   6  East-northeast
84.37   7  East by north
84.38   8  East
101.25   9  East by south
118.12  10  East-southeast
118.13  11  Southeast by east
135.00  12  Southeast
151.87  13  Southeast by south
151.88  14  South-southeast
168.75  15  South by east
185.62  16  South
185.63  17  South by west
202.50  18  South-southwest
219.37  19  Southwest by south
219.38  20  Southwest
236.25  21  Southwest by west
253.12  22  West-southwest
253.13  23  West by south
270.00  24  West
286.87  25  West by north
286.88  26  West-northwest
303.75  27  Northwest by west
320.62  28  Northwest
320.63  29  Northwest by north
337.50  30  North-northwest
354.37  31  North by west
354.38   0  North```

Gambas

`Public Sub Main()Dim fDeg As Float[] = [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]Dim cHeading As Collection = ["N": "North", "S": "South", "W": "West", "E": "East", "b": "by"]Dim sHeading As String[] = ["N", "NbE", "NNE", "NEbE", "NE", "NEbE", "ENE", "EbN", "E", "EbS", "ESE", "SEbE", "SE", "SEbS", "SSE", "SbE", "S", "SbW", "SSW", "SWbS", "SW", "SWbW", "WSW", "WbS", "W", "WbN", "WNW", "NWbW", "NW", "NWbN", "NNW", "NbW"]Dim siLoop As ShortDim sDirection As String Dim fCount, fTemp As Float For Each fCount In fDeg   fTemp = Round(fCount / 11.25)   If fTemp = 32 Then fTemp = 0    For siLoop = 0 To Len(sHeading[fTemp])      sDirection &= cHeading[Mid(sHeading[fTemp], siLoop + 1, 1)] & " "    Next  Print "Index=" & Format(fTemp + 1, "#0") & "  " & Format(Str(fCount), "##0.00") & " degrees = " & sDirection   sDirection = ""Next End`

Output:

```Index= 1    0.00 degrees = North
Index= 2   16.87 degrees = North by East
Index= 3   16.88 degrees = North North East
Index= 4   33.75 degrees = North East by East
Index= 5   50.62 degrees = North East
Index= 6   50.63 degrees = North East by East
Index= 7   67.50 degrees = East North East
Index= 8   84.37 degrees = East by North
Index= 9   84.38 degrees = East
Index=10  101.25 degrees = East by South
Index=11  118.12 degrees = East South East
Index=12  118.13 degrees = South East by East
Index=13  135.00 degrees = South East
Index=14  151.87 degrees = South East by South
Index=15  151.88 degrees = South South East
Index=16  168.75 degrees = South by East
Index=17  185.62 degrees = South
Index=18  185.63 degrees = South by West
Index=19  202.50 degrees = South South West
Index=20  219.37 degrees = South West by South
Index=21  219.38 degrees = South West
Index=22  236.25 degrees = South West by West
Index=23  253.12 degrees = West South West
Index=24  253.13 degrees = West by South
Index=25  270.00 degrees = West
Index=26  286.87 degrees = West by North
Index=27  286.88 degrees = West North West
Index=28  303.75 degrees = North West by West
Index=29  320.62 degrees = North West
Index=30  320.63 degrees = North West by North
Index=31  337.50 degrees = North North West
Index=32  354.37 degrees = North by West
Index= 1  354.38 degrees = North
```

Go

`package main import "fmt" // function required by taskfunc degrees2compasspoint(h float32) string {    return compassPoint[cpx(h)]} // cpx returns integer index from 0 to 31 corresponding to compass point.// input heading h is in degrees.  Note this index is a zero-based index// suitable for indexing into the table of printable compass points,// and is not the same as the index specified to be printed in the output.func cpx(h float32) int {    x := int(h/11.25+.5) % 32    if x < 0 {        x += 32    }    return x} // printable compass pointsvar compassPoint = []string{    "North",    "North by east",    "North-northeast",    "Northeast by north",    "Northeast",    "Northeast by east",    "East-northeast",    "East by north",    "East",    "East by south",    "East-southeast",    "Southeast by east",    "Southeast",    "Southeast by south",    "South-southeast",    "South by east",    "South",    "South by west",    "South-southwest",    "Southwest by south",    "Southwest",    "Southwest by west",    "West-southwest",    "West by south",    "West",    "West by north",    "West-northwest",    "Northwest by west",    "Northwest",    "Northwest by north",    "North-northwest",    "North by west",} func main() {    fmt.Println("Index  Compass point         Degree")    for i, h := range []float32{0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5,        84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,        185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0,        286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38} {        index := i%32 + 1 // printable index computed per pseudocode        fmt.Printf("%4d   %-19s %7.2f°\n", index, degrees2compasspoint(h), h)    }}`
```Index  Compass point         Degree
1   North                  0.00°
2   North by east         16.87°
3   North-northeast       16.88°
4   Northeast by north    33.75°
5   Northeast             50.62°
6   Northeast by east     50.63°
7   East-northeast        67.50°
8   East by north         84.37°
9   East                  84.38°
10   East by south        101.25°
11   East-southeast       118.12°
12   Southeast by east    118.13°
13   Southeast            135.00°
14   Southeast by south   151.87°
15   South-southeast      151.88°
16   South by east        168.75°
17   South                185.62°
18   South by west        185.63°
19   South-southwest      202.50°
20   Southwest by south   219.37°
21   Southwest            219.38°
22   Southwest by west    236.25°
23   West-southwest       253.12°
24   West by south        253.13°
25   West                 270.00°
26   West by north        286.87°
27   West-northwest       286.88°
28   Northwest by west    303.75°
29   Northwest            320.62°
30   Northwest by north   320.63°
31   North-northwest      337.50°
32   North by west        354.37°
1   North                354.38°
```

Groovy

`def asCompassPoint(angle) {    def cardinalDirections = ["north", "east", "south", "west"]     int index = Math.floor(angle / 11.25 + 0.5)    int cardinalIndex = (index / 8)     def c1 = cardinalDirections[cardinalIndex % 4]    def c2 = cardinalDirections[(cardinalIndex + 1) % 4]    def c3 = (cardinalIndex == 0 || cardinalIndex == 2) ? "\$c1\$c2" : "\$c2\$c1"     def point = [        "\$c1", "\$c1 by \$c2", "\$c1-\$c3", "\$c3 by \$c1", "\$c3", "\$c3 by \$c2", "\$c2-\$c3", "\$c2 by \$c1"    ][index % 8]    point.substring(0, 1).toUpperCase() + point.substring(1)}Number.metaClass.asCompassPoint =  { asCompassPoint(delegate) } [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38].eachWithIndex { angle, index ->    println "\${(index % 32) + 1}".padRight(3) + "\${angle.asCompassPoint().padLeft(20)}    \$angle\u00b0"}`

Output:

```1                 North    0.0°
2         North by east    16.87°
3       North-northeast    16.88°
4    Northeast by north    33.75°
5             Northeast    50.62°
6     Northeast by east    50.63°
7        East-northeast    67.5°
8         East by north    84.37°
9                  East    84.38°
10        East by south    101.25°
11       East-southeast    118.12°
12    Southeast by east    118.13°
13            Southeast    135.0°
14   Southeast by south    151.87°
15      South-southeast    151.88°
16        South by east    168.75°
17                South    185.62°
18        South by west    185.63°
19      South-southwest    202.5°
20   Southwest by south    219.37°
21            Southwest    219.38°
22    Southwest by west    236.25°
23       West-southwest    253.12°
24        West by south    253.13°
25                 West    270.0°
26        West by north    286.87°
27       West-northwest    286.88°
28    Northwest by west    303.75°
29            Northwest    320.62°
30   Northwest by north    320.63°
31      North-northwest    337.5°
32        North by west    354.37°
1                 North    354.38°```

`import Data.Char (toUpper) import Data.Maybe (fromMaybe) import Text.Printf (PrintfType, printf) dirs :: [String]dirs =  [ "N"  , "NbE"  , "N-NE"  , "NEbN"  , "NE"  , "NEbE"  , "E-NE"  , "EbN"  , "E"  , "EbS"  , "E-SE"  , "SEbE"  , "SE"  , "SEbS"  , "S-SE"  , "SbE"  , "S"  , "SbW"  , "S-SW"  , "SWbS"  , "SW"  , "SWbW"  , "W-SW"  , "WbS"  , "W"  , "WbN"  , "W-NW"  , "NWbW"  , "NW"  , "NWbN"  , "N-NW"  , "NbW"  ] -- Index between 0 and 31 ->  the corresponding compass point name.pointName :: Int -> StringpointName = capitalize . concatMap (fromMaybe "?" . fromChar) . (dirs !!)  where    fromChar c =      lookup        c        [ ('N', "north")        , ('S', "south")        , ('E', "east")        , ('W', "west")        , ('b', " by ")        , ('-', "-")        ]    capitalize (c:cs) = toUpper c : cs -- Degrees -> compass point index between 0 and 31.pointIndex :: Double -> IntpointIndex d = (round (d * 1000) + 5625) `mod` 360000 `div` 11250 printPointName :: PrintfType t => String -> tprintPointName d =  let deg = read d :: Double      idx = pointIndex deg  in printf "%2d  %-18s  %6.2f°\n" (idx + 1) (pointName idx) deg main :: IO ()main = mapM_ (printPointName . show) [0 .. 31]`

Output:

``` 1  North                 0.00°
2  North by east        16.87°
3  North-northeast      16.88°
4  Northeast by north   33.75°
5  Northeast            50.62°
6  Northeast by east    50.63°
7  East-northeast       67.50°
8  East by north        84.37°
9  East                 84.38°
10  East by south       101.25°
11  East-southeast      118.12°
12  Southeast by east   118.13°
13  Southeast           135.00°
14  Southeast by south  151.87°
15  South-southeast     151.88°
16  South by east       168.75°
17  South               185.62°
18  South by west       185.63°
19  South-southwest     202.50°
20  Southwest by south  219.37°
21  Southwest           219.38°
22  Southwest by west   236.25°
23  West-southwest      253.12°
24  West by south       253.13°
25  West                270.00°
26  West by north       286.87°
27  West-northwest      286.88°
28  Northwest by west   303.75°
29  Northwest           320.62°
30  Northwest by north  320.63°
31  North-northwest     337.50°
32  North by west       354.37°
1  North               354.38°```

Huginn

`import Algorithms as algo;import Text as text; class Compass {  _majors = none;  _quarter1 = none;  _quarter2 = none;  constructor() {    _majors = algo.materialize( text.split( "north east south west", " " ), tuple );    _majors += _majors;    _quarter1 = text.split( "N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N", "," );    _quarter2 = algo.materialize( algo.map( _quarter1, @( s ){ copy( s ).replace( "NE", "EN" ); } ), list );  }  degrees_to_compasspoint( d ) {    d = d % 360. + 360. / 64.;    majorindex, minor = ( integer( d ) / 90, d % 90. );    minorindex  = integer( minor * 4. ) / 45;    p1, p2 = _majors[majorindex: majorindex + 2];    q = none;    if ( p1 ∈ { "north", "south" } ) {      q = _quarter1;    } else {      q = _quarter2;    }    return ( text.capitalize( copy( q[minorindex] ).replace( "N", p1 ).replace( "E", p2 ) ) );  }} main() {  print(    " # |  Angle  | Compass point\n"    "---+---------|-------------------\n"  );  c = Compass();  for ( i : algo.range( 33 ) ) {    d = real( i ) * 11.25;    m = i % 3;    if ( m == 1 ) {      d += 5.62;    } else if ( m == 2 ) {      d -= 5.62;    }    n = i % 32 + 1;    print( "{:2d} | {:6.2f}° | {}\n".format( n, d, c.degrees_to_compasspoint( d ) ) );  }}`
Output:
``` # |  Angle  | Compass point
---+---------|-------------------
1 |   0.00° | North
2 |  16.87° | North by east
3 |  16.88° | North-northeast
4 |  33.75° | Northeast by north
5 |  50.62° | Northeast
6 |  50.63° | Northeast by east
7 |  67.50° | East-northeast
8 |  84.37° | East by north
9 |  84.38° | East
10 | 101.25° | East by south
11 | 118.12° | East-southeast
12 | 118.13° | Southeast by east
13 | 135.00° | Southeast
14 | 151.87° | Southeast by south
15 | 151.88° | South-southeast
16 | 168.75° | South by east
17 | 185.62° | South
18 | 185.63° | South by west
19 | 202.50° | South-southwest
20 | 219.37° | Southwest by south
21 | 219.38° | Southwest
22 | 236.25° | Southwest by west
23 | 253.12° | West-southwest
24 | 253.13° | West by south
25 | 270.00° | West
26 | 286.87° | West by north
27 | 286.88° | West-northwest
28 | 303.75° | Northwest by west
29 | 320.62° | Northwest
30 | 320.63° | Northwest by north
31 | 337.50° | North-northwest
32 | 354.37° | North by west
1 | 354.38° | North```

Icon and Unicon

 This example is incomplete. 354.38? Please ensure that it meets all task requirements and remove this message.
`link strings,numbers  procedure main() every heading := 11.25 * (i := 0 to 32) do {   case i%3 of {      1: heading +:= 5.62      2: heading -:= 5.62      }   write(right(i+1,3)," ",left(direction(heading),20)," ",fix(heading,,7,2))   } end procedure direction(d)  # compass heading given +/- degreesstatic dirsinitial {   every put(dirs := [],             replacem(!["N","NbE","N-NE","NEbN","NE","NEbE","E-NE","EbN",                        "E","EbS","E-SE","SEbE","SE","SEbS","S-SE","SbE",	                     "S","SbW","S-SW","SWbS","SW","SWbW","W-SW","WbS",	                    "W","WbN","W-NW","NWbW","NW","NWbN","N-NW","NbW"],                       "N","north","E","east","W","west","S","south","b"," by "))      }    return dirs[round(((((d%360)+360)%360)/11.25)%32 + 1)]end`
Output:
```  1 north                   0.00
2 north by east          16.87
3 north-northeast        16.88
4 northeast by north     33.75
5 northeast              50.62
6 northeast by east      50.63
7 east-northeast         67.50
8 east by north          84.37
9 east                   84.38
10 east by south         101.25
11 east-southeast        118.12
12 southeast by east     118.13
13 southeast             135.00
14 southeast by south    151.87
15 south-southeast       151.88
16 south by east         168.75
17 south                 185.62
18 south by west         185.63
19 south-southwest       202.50
20 southwest by south    219.37
21 southwest             219.38
22 southwest by west     236.25
23 west-southwest        253.12
24 west by south         253.13
25 west                  270.00
26 west by north         286.87
27 west-northwest        286.88
28 northwest by west     303.75
29 northwest             320.62
30 northwest by north    320.63
31 north-northwest       337.50
32 north by west         354.37```

IS-BASIC

`100 PROGRAM "Compass.bas"110 STRING DR\$(1 TO 33)*18120 FOR I=1 TO 33130   READ DR\$(I)140 NEXT 150 DO 160   READ IF MISSING EXIT DO:D170   LET DIR=COMP(D)180   PRINT D;TAB(12);DIR,DR\$(DIR)190 LOOP 200 DEF COMP(D)=CEIL(MOD((D+360/64),360)*32/360)210 DATA North,North by east,North-northeast,Northeast by north,Northeast,Northeast by east,East-northeast,East by north,East,East by south,East-southeast,Southeast by east,Southeast,Southeast by south,South-southeast,South by east220 DATA South,South by west,South-southwest,Southwest by south,Southwest,Southwest by west,West-southwest,West by south,West,West by north,West-northwest,Northwest by west,Northwest,Northwest by north,North-northwest,North by west,North230 DATA 0.0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25,118.12,118.13,135.0,151.87,151.88,168.75,185.62,185.63,202.5,219.37,219.38,236.25,253.12,253.13,270.0,286.87,286.88,303.75,320.62,320.63,337.5,354.37,354.38`
Output:
``` 0 	    1   North
16.87      2   North by east
16.88      3   North-northeast
33.75      4   Northeast by north
50.62      5   Northeast
50.63      6   Northeast by east
67.5       7   East-northeast
84.37      8   East by north
84.38      9   East
101.25     10  East by south
118.12     11  East-southeast
118.13     12  Southeast by east
135        13  Southeast
151.87     14  Southeast by south
151.88     15  South-southeast
168.75     16  South by east
185.62     17  South
185.63     18  South by west
202.5      19  South-southwest
219.37     20  Southwest by south
219.38     21  Southwest
236.25     22  Southwest by west
253.12     23  West-southwest
253.13     24  West by south
270        25  West
286.87     26  West by north
286.88     27  West-northwest
303.75     28  Northwest by west
320.62     29  Northwest
320.63     30  Northwest by north
337.5      31  North-northwest
354.37     32  North by west
354.38     1   North```

J

`require'strings'subs=: 'N,north,S,south,E,east,W,west,b, by ,'dirs=: subs ([email protected]{., }.)@rplc~L:1 0&(<;._2) 0 :0 -. ' ',LF  N,NbE,N-NE,NEbN,NE,NEbE,E-NE,EbN,E,EbS,E-SE,SEbE,SE,SEbS,S-SE,SbE,  S,SbW,S-SW,SWbS,SW,SWbW,W-SW,WbS,W,WbN,W-NW,NWbW,NW,NWbN,N-NW,NbW,)indice=: 32 | 0.5 <[email protected]+ %&11.25deg2pnt=: dirs {~ indice`

Example use:

`   i.100 1 2 3 4 5 6 7 8 9   deg2pnt i.10┌─────┬─────┬─────┬─────┬─────┬─────┬─────────────┬─────────────┬─────────────┬─────────────┐│North│North│North│North│North│North│North by east│North by east│North by east│North by east│└─────┴─────┴─────┴─────┴─────┴─────┴─────────────┴─────────────┴─────────────┴─────────────┘`

Required example:

`   (":@>:@indice,.' ',.>@deg2pnt,.' ',.":@,.)(*&11.25 + 5.62 * 0 1 _1 {~ 3&|) i.331  North                   02  North by east       16.873  North-northeast     16.884  Northeast by north  33.755  Northeast           50.626  Northeast by east   50.637  East-northeast       67.58  East by north       84.379  East                84.3810 East by south      101.2511 East-southeast     118.1212 Southeast by east  118.1313 Southeast             13514 Southeast by south 151.8715 South-southeast    151.8816 South by east      168.7517 South              185.6218 South by west      185.6319 South-southwest     202.520 Southwest by south 219.3721 Southwest          219.3822 Southwest by west  236.2523 West-southwest     253.1224 West by south      253.1325 West                  27026 West by north      286.8727 West-northwest     286.8828 Northwest by west  303.7529 Northwest          320.6230 Northwest by north 320.6331 North-northwest     337.532 North by west      354.371  North              354.38`

Java

Translation of: Visual Basic .NET
`public class BoxingTheCompass{    private static String[] points = new String[32];     public static void main(String[] args){        buildPoints();         double heading = 0;         for(int i = 0; i<= 32;i++){            heading = i * 11.25;            switch(i % 3){                case 1:                    heading += 5.62;                    break;                case 2:                    heading -= 5.62;                    break;                default:            }             System.out.printf("%s\t%18s\t%s°\n",(i % 32) + 1, initialUpper(getPoint(heading)), heading);        }    }     private static void buildPoints(){        String[] cardinal = {"north", "east", "south", "west"};        String[] pointDesc = {"1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1"};         String str1, str2, strC;         for(int i = 0;i <= 3;i++){            str1 = cardinal[i];            str2 = cardinal[(i + 1) % 4];            strC = (str1.equals("north") || str1.equals("south")) ? (str1 + str2): (str2 + str1);            for(int j = 0;j <= 7;j++){                points[i * 8 + j] = pointDesc[j].replace("1", str1).replace("2", str2).replace("C", strC);            }        }    }     private static String initialUpper(String s){        return s.substring(0, 1).toUpperCase() + s.substring(1);    }     private static String getPoint(double degrees){        double testD = (degrees / 11.25) + 0.5;        return points[(int)Math.floor(testD % 32)];    }}`

Output:

```1	             North	0.0°
2	     North by east	16.87°
3	   North-northeast	16.88°
4	Northeast by north	33.75°
5	         Northeast	50.62°
6	 Northeast by east	50.63°
7	    East-northeast	67.5°
8	     East by north	84.37°
9	              East	84.38°
10	     East by south	101.25°
11	    East-southeast	118.12°
12	 Southeast by east	118.13°
13	         Southeast	135.0°
14	Southeast by south	151.87°
15	   South-southeast	151.88°
16	     South by east	168.75°
17	             South	185.62°
18	     South by west	185.63°
19	   South-southwest	202.5°
20	Southwest by south	219.37°
21	         Southwest	219.38°
22	 Southwest by west	236.25°
23	    West-southwest	253.12°
24	     West by south	253.13°
25	              West	270.0°
26	     West by north	286.87°
27	    West-northwest	286.88°
28	 Northwest by west	303.75°
29	         Northwest	320.62°
30	Northwest by north	320.63°
31	   North-northwest	337.5°
32	     North by west	354.37°
1	             North	354.38°```

JavaScript

ES5

An iterative, web-based approach:

`function createRow(i, point, heading) {    var tr = document.createElement('tr'),        td;     td = document.createElement('td');    td.appendChild(document.createTextNode(i));    tr.appendChild(td);     td = document.createElement('td');    point = point.substr(0, 1).toUpperCase() + point.substr(1);    td.appendChild(document.createTextNode(point));    tr.appendChild(td);     td = document.createElement('td');    td.appendChild(document.createTextNode(heading));    tr.appendChild(td);     return tr;} function getPoint(i) {    var j = i % 8,        i = Math.floor(i / 8) % 4,        cardinal = ['north', 'east', 'south', 'west'],        pointDesc = ['1', '1 by 2', '1-C', 'C by 1', 'C', 'C by 2', '2-C', '2 by 1'],        str1, str2, strC;     str1 = cardinal[i];    str2 = cardinal[(i + 1) % 4];    strC = (str1 === 'north' || str1 === 'south') ? str1 + str2 : str2 + str1;    return pointDesc[j].replace('1', str1).replace('2', str2).replace('C', strC);} var i,    heading,    table = document.createElement('table'),    tbody = document.createElement('tbody'),    tr;for (i = 0; i <= 32; i += 1) {    heading = i * 11.25 + [0, 5.62, -5.62][i % 3];    tr = createRow(i % 32 + 1, getPoint(i), heading + '°');    tbody.appendChild(tr);}table.appendChild(tbody);document.body.appendChild(table); `

Output:

```1	North			0°
2	North by east		16.87°
3	North-northeast		16.88°
4	Northeast by north	33.75°
5	Northeast		50.62°
6	Northeast by east	50.63°
7	East-northeast		67.5°
8	East by north		84.37°
9	East			84.38°
10	East by south		101.25°
11	East-southeast		118.12°
12	Southeast by east	118.13°
13	Southeast		135°
14	Southeast by south	151.87°
15	South-southeast		151.88°
16	South by east		168.75°
17	South			185.62°
18	South by west		185.63°
19	South-southwest		202.5°
20	Southwest by south	219.37°
21	Southwest		219.38°
22	Southwest by west	236.25°
23	West-southwest		253.12°
24	West by south		253.13°
25	West			270°
26	West by north		286.87°
27	West-northwest		286.88°
28	Northwest by west	303.75°
29	Northwest		320.62°
30	Northwest by north	320.63°
31	North-northwest		337.5°
32	North by west		354.37°
1	North			354.38°```

ES6

Functional composition, allowing for additional languages (and different numbers of compass points)

`(() => {    'use strict';     // GENERIC FUNCTIONS     // toTitle :: String -> String    let toTitle = s => s.length ? (s[0].toUpperCase() + s.slice(1)) : '';     // COMPASS DATA AND FUNCTIONS     // Scale invariant keys for points of the compass    // (allows us to look up a translation for one scale of compass (32 here)    // for use in another size of compass (8 or 16 points)    // (Also semi-serviceable as more or less legible keys without translation)     // compassKeys :: Int -> [String]    let compassKeys = depth => {        let urCompass = ['N', 'S', 'N'],            subdivision = (compass, n) => n <= 1 ? (                compass            ) : subdivision( // Borders between N and S engender E and W.                // other new boxes concatenate their parent keys.                compass.reduce((a, x, i, xs) => {                    if (i > 0) {                        return (n === depth) ? (                            a.concat([x === 'N' ? 'W' : 'E'], x)                        ) : a.concat([xs[i - 1] + x, x]);                    } else return a.concat(x);                }, []),                n - 1            );        return subdivision(urCompass, depth)            .slice(0, -1);    };     // https://zh.wikipedia.org/wiki/%E7%BD%97%E7%9B%98%E6%96%B9%E4%BD%8D    let lstLangs = [{        'name': 'English',        expansions: {            N: 'north',            S: 'south',            E: 'east',            W: 'west',            b: ' by ',            '-': '-'        },        'N': 'N',        'NNNE': 'NbE',        'NNE': 'N-NE',        'NNENE': 'NEbN',        'NE': 'NE',        'NENEE': 'NEbE',        'NEE': 'E-NE',        'NEEE': 'EbN',        'E': 'E',        'EEES': 'EbS',        'EES': 'E-SE',        'EESES': 'SEbE',        'ES': 'SE',        'ESESS': 'SEbS',        'ESS': 'S-SE',        'ESSS': 'SbE',        'S': 'S',        'SSSW': 'SbW',        'SSW': 'S-SW',        'SSWSW': 'SWbS',        'SW': 'SW',        'SWSWW': 'SWbW',        'SWW': 'W-SW',        'SWWW': 'WbS',        'W': 'W',        'WWWN': 'WbN',        'WWN': 'W-NW',        'WWNWN': 'NWbW',        'WN': 'NW',        'WNWNN': 'NWbN',        'WNN': 'N-NW',        'WNNN': 'NbW'    }, {        'name': 'Chinese',        'N': '北',        'NNNE': '北微东',        'NNE': '东北偏北',        'NNENE': '东北微北',        'NE': '东北',        'NENEE': '东北微东',        'NEE': '东北偏东',        'NEEE': '东微北',        'E': '东',        'EEES': '东微南',        'EES': '东南偏东',        'EESES': '东南微东',        'ES': '东南',        'ESESS': '东南微南',        'ESS': '东南偏南',        'ESSS': '南微东',        'S': '南',        'SSSW': '南微西',        'SSW': '西南偏南',        'SSWSW': '西南微南',        'SW': '西南',        'SWSWW': '西南微西',        'SWW': '西南偏西',        'SWWW': '西微南',        'W': '西',        'WWWN': '西微北',        'WWN': '西北偏西',        'WWNWN': '西北微西',        'WN': '西北',        'WNWNN': '西北微北',        'WNN': '西北偏北',        'WNNN': '北微西'    }];     // pointIndex :: Int -> Num -> Int    let pointIndex = (power, degrees) => {        let nBoxes = (power ? Math.pow(2, power) : 32);        return Math.ceil(            (degrees + (360 / (nBoxes * 2))) % 360 * nBoxes / 360        ) || 1;    };     // pointNames :: Int -> Int -> [String]    let pointNames = (precision, iBox) => {        let k = compassKeys(precision)[iBox - 1];        return lstLangs.map(dctLang => {            let s = dctLang[k] || k, // fallback to key if no translation                dctEx = dctLang.expansions;             return dctEx ? toTitle(s.split('')                    .map(c => dctEx[c])                    .join(precision > 5 ? ' ' : ''))                .replace(/  /g, ' ') : s;        });    };     // maximumBy :: (a -> a -> Ordering) -> [a] -> a    let maximumBy = (f, xs) =>        xs.reduce((a, x) => a === undefined ? x : (            f(x, a) > 0 ? x : a        ), undefined);     // justifyLeft :: Int -> Char -> Text -> Text    let justifyLeft = (n, cFiller, strText) =>        n > strText.length ? (            (strText + replicate(n, cFiller)                .join(''))            .substr(0, n)        ) : strText;     // justifyRight :: Int -> Char -> Text -> Text    let justifyRight = (n, cFiller, strText) =>        n > strText.length ? (            (replicate(n, cFiller)                .join('') + strText)            .slice(-n)        ) : strText;     // replicate :: Int -> a -> [a]    let replicate = (n, a) => {        let v = [a],            o = [];        if (n < 1) return o;        while (n > 1) {            if (n & 1) o = o.concat(v);            n >>= 1;            v = v.concat(v);        }        return o.concat(v);    };     // transpose :: [[a]] -> [[a]]    let transpose = xs =>        xs[0].map((_, iCol) => xs.map((row) => row[iCol]));     // length :: [a] -> Int    // length :: Text -> Int    let length = xs => xs.length;     // compareByLength = (a, a) -> (-1 | 0 | 1)    let compareByLength = (a, b) => {        let [na, nb] = [a, b].map(length);        return na < nb ? -1 : na > nb ? 1 : 0;    };     // maxLen :: [String] -> Int    let maxLen = xs => maximumBy(compareByLength, xs)        .length;     // compassTable :: Int -> [Num] -> Maybe String    let compassTable = (precision, xs) => {        if (precision < 1) return undefined;        else {            let intPad = 2;             let lstIndex = xs.map(x => pointIndex(precision, x)),                lstStrIndex = lstIndex.map(x => x.toString()),                nIndexWidth = maxLen(lstStrIndex),                colIndex = lstStrIndex.map(                    x => justifyRight(nIndexWidth, ' ', x)                );             let lstAngles = xs.map(x => x.toFixed(2) + '°'),                nAngleWidth = maxLen(lstAngles) + intPad,                colAngles = lstAngles.map(x => justifyRight(nAngleWidth, ' ', x));             let lstTrans = transpose(                    lstIndex.map(i => pointNames(precision, i))                ),                lstTransWidths = lstTrans.map(x => maxLen(x) + 2),                colsTrans = lstTrans                .map((lstLang, i) => lstLang                    .map(x => justifyLeft(lstTransWidths[i], ' ', x))                );             return transpose([colIndex]                    .concat([colAngles], [replicate(lstIndex.length, "  ")])                    .concat(colsTrans))                .map(x => x.join(''))                .join('\n');        }    }     // TEST    let xs = [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37,        84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,        185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13,        270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37,        354.38    ];     // If we supply other precisions, like 4 or 6, (2^n -> 16 or 64 boxes)    // the bearings will be divided amongst smaller or larger numbers of boxes,    // either using name translations retrieved by the generic hash    // or using the hash itself (combined with any expansions)    // to substitute for missing names for very finely divided boxes.     return compassTable(5, xs); // 2^5 -> 32 boxes})();`
Output:
``` 1    0.00°  North               北
2   16.87°  North by east       北微东
3   16.88°  North-northeast     东北偏北
4   33.75°  Northeast by north  东北微北
5   50.62°  Northeast           东北
6   50.63°  Northeast by east   东北微东
7   67.50°  East-northeast      东北偏东
8   84.37°  East by north       东微北
9   84.38°  East                东
10  101.25°  East by south       东微南
11  118.12°  East-southeast      东南偏东
12  118.13°  Southeast by east   东南微东
13  135.00°  Southeast           东南
14  151.87°  Southeast by south  东南微南
15  151.88°  South-southeast     东南偏南
16  168.75°  South by east       南微东
17  185.62°  South               南
18  185.63°  South by west       南微西
19  202.50°  South-southwest     西南偏南
20  219.37°  Southwest by south  西南微南
21  219.38°  Southwest           西南
22  236.25°  Southwest by west   西南微西
23  253.12°  West-southwest      西南偏西
24  253.13°  West by south       西微南
25  270.00°  West                西
26  286.87°  West by north       西微北
27  286.88°  West-northwest      西北偏西
28  303.75°  Northwest by west   西北微西
29  320.62°  Northwest           西北
30  320.63°  Northwest by north  西北微北
31  337.50°  North-northwest     西北偏北
32  354.37°  North by west       北微西
1  354.38°  North               北  ```

Julia

Works with: Julia version 0.6
Translation of: Python
`function degree2compasspoint(d::Float64)::String    majors = ("north", "east", "south", "ovest", "north", "east", "south", "ovest")    quart1 = ("N", "N by E", "N-NE", "NE by N", "NE", "NE by E", "E-NE", "E by N")     d = (d % 360) + 360/64    majorindex, minor = divrem(d, 90)    minorindex  = div(minor * 4, 45)    majorindex += 1    minorindex += 1    p1, p2 = majors[majorindex:majorindex+1]    if p1 in ("north", "south"); q = quart1    else q = quart1 end    return titlecase(replace(replace(q[minorindex], 'N', p1), 'E', p2))end for i in 0:32    d = i * 11.25    m = i % 3    if m == 1; d += 5.62 end    if m == 2; d -= 5.62 end    n = i % 32 + 1    @printf("%2i %-17s %10.2f°\n", n, degree2compasspoint(d), d)end`
Output:
``` 1 North                   0.00°
2 North By East          16.87°
3 North-northeast        16.88°
4 Northeast By North      33.75°
5 Northeast              50.62°
6 Northeast By East      50.63°
7 East-northeast         67.50°
8 East By North          84.37°
9 East                   84.38°
10 East By South         101.25°
11 East-eastsouth        118.12°
12 Eastsouth By East     118.13°
13 Eastsouth             135.00°
14 Eastsouth By South     151.87°
15 South-eastsouth       151.88°
16 South By East         168.75°
17 South                 185.62°
18 South By Ovest        185.63°
19 South-southovest      202.50°
20 Southovest By South     219.37°
21 Southovest            219.38°
22 Southovest By Ovest     236.25°
23 Ovest-southovest      253.12°
24 Ovest By South        253.13°
25 Ovest                 270.00°
26 Ovest By North        286.87°
27 Ovest-ovestnorth      286.88°
28 Ovestnorth By Ovest     303.75°
29 Ovestnorth            320.62°
30 Ovestnorth By North     320.63°
31 North-ovestnorth      337.50°
32 North By Ovest        354.37°
1 North                 354.38°```

Kotlin

`// version 1.1.2 fun expand(cp: String): String {    val sb = StringBuilder()    for (c in cp) {        sb.append(when (c) {            'N'  -> "north"             'E'  -> "east"            'S'  -> "south"            'W'  -> "west"            'b'  -> " by "            else -> "-"        })    }    return sb.toString().capitalize()} fun main(args: Array<String>) {    val cp = arrayOf(        "N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",        "E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",        "S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",        "W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"    )    println("Index  Degrees  Compass point")    println("-----  -------  -------------")    val f = "%2d     %6.2f   %s"    for (i in 0..32) {        val index  = i % 32        var heading = i * 11.25        when (i % 3) {            1 -> heading += 5.62            2 -> heading -= 5.62        }        println(f.format(index + 1, heading, expand(cp[index])))    }}`
Output:
```Index  Degrees  Compass point
-----  -------  -------------
1       0.00   North
2      16.87   North by east
3      16.88   North-northeast
4      33.75   Northeast by north
5      50.62   Northeast
6      50.63   Northeast by east
7      67.50   East-northeast
8      84.37   East by north
9      84.38   East
10     101.25   East by south
11     118.12   East-southeast
12     118.13   Southeast by east
13     135.00   Southeast
14     151.87   Southeast by south
15     151.88   South-southeast
16     168.75   South by east
17     185.62   South
18     185.63   South by west
19     202.50   South-southwest
20     219.37   Southwest by south
21     219.38   Southwest
22     236.25   Southwest by west
23     253.12   West-southwest
24     253.13   West by south
25     270.00   West
26     286.87   West by north
27     286.88   West-northwest
28     303.75   Northwest by west
29     320.62   Northwest
30     320.63   Northwest by north
31     337.50   North-northwest
32     354.37   North by west
1     354.38   North
```

Liberty BASIC

`dim point\$( 32) for i =1 to 32    read d\$: point\$( i) =d\$next i for i = 0 to 32    heading = i *11.25    if ( i mod 3) =1 then        heading = heading +5.62    else        if ( i mod 3) =2 then heading = heading -5.62    end if    ind = i mod 32 +1    print ind, compasspoint\$( heading), headingnext i end function compasspoint\$( h)    x = h /11.25 +1.5    if (x >=33.0) then x =x -32.0    compasspoint\$ = point\$( int( x))end function data  "North             ", "North by east     ", "North-northeast   "data  "Northeast by north", "Northeast         ", "Northeast by east ", "East-northeast    "data  "East by north     ", "East              ", "East by south     ", "East-southeast    "data  "Southeast by east ", "Southeast         ", "Southeast by south", "South-southeast   "data  "South by east     ", "South             ", "South by west     ", "South-southwest   "data  "Southwest by south", "Southwest         ", "Southwest by west ", "West-southwest    "data  "West by south     ", "West              ", "West by north     ", "West-northwest    "data  "Northwest by west ", "Northwest         ", "Northwest by north", "North-northwest   "data  "North by west`

Output:

```1             North                       0
2             North by east               16.87
3             North-northeast             16.88
4             Northeast by north          33.75
5             Northeast                   50.62
6             Northeast by east           50.63
7             East-northeast              67.5
8             East by north               84.37
9             East                        84.38
10            East by south               101.25
11            East-southeast              118.12
12            Southeast by east           118.13
13            Southeast                   135
14            Southeast by south          151.87
15            South-southeast             151.88
16            South by east               168.75
17            South                       185.62
18            South by west               185.63
19            South-southwest             202.5
20            Southwest by south          219.37
21            Southwest                   219.38
22            Southwest by west           236.25
23            West-southwest              253.12
24            West by south               253.13
25            West                        270
26            West by north               286.87
27            West-northwest              286.88
28            Northwest by west           303.75
29            Northwest                   320.62
30            Northwest by north          320.63
31            North-northwest             337.5
32            North by west               354.37
1             North                       354.38```

K

The representation of the names was inspired by Tcl (etc.).

`   d:("N;Nbe;N-ne;Nebn;Ne;Nebe;E-ne;Ebn;")   d,:("E;Ebs;E-se;Sebe;Se;Sebs;S-se;Sbe;")   d,:("S;Sbw;S-sw;Swbs;Sw;Swbw;W-sw;Wbs;")   d,:("W;Wbn;W-nw;Nwbw;Nw;Nwbn;N-nw;Nbw;N")    split:{1_'(&x=y)_ x:y,x}   dd:split[d;";"]    / lookup table   s1:"NEWSnewsb-"   s2:("North";"East";"West";"South";"north";"east";"west";"south";" by ";"-")   c:.({`\$x}'s1),'{`\$x}'s2   / create the dictionary   cc:{,/{\$c[`\$\$x]}'x}       / lookup function    / calculate the degrees   f:{m:x!3;(11.25*x)+:[1=m;+5.62;2=m;-5.62;0]}`

The table:

`   `0:{((2\$(1+x!32)),"  ",([email protected][x]),([email protected]))}'!#dd 1  North                0.00 2  North by east       16.87 3  North-northeast     16.88 4  Northeast by north  33.75 5  Northeast           50.62 6  Northeast by east   50.63 7  East-northeast      67.50 8  East by north       84.37 9  East                84.3810  East by south      101.2511  East-southeast     118.1212  Southeast by east  118.1313  Southeast          135.0014  Southeast by south 151.8715  South-southeast    151.8816  South by east      168.7517  South              185.6218  South by west      185.6319  South-southwest    202.5020  Southwest by south 219.3721  Southwest          219.3822  Southwest by west  236.2523  West-southwest     253.1224  West by south      253.1325  West               270.0026  West by north      286.8727  West-northwest     286.8828  Northwest by west  303.7529  Northwest          320.6230  Northwest by north 320.6331  North-northwest    337.5032  North by west      354.37 1  North              354.38`

Lasso

`define pointsarray() => {	local(points = array)	loop(-from=0,-to=32) => {		local(heading = loop_count * 11.25)		if(loop_count % 3 == 1) => {			#heading += 5.62		else(loop_count % 3 == 2)			#heading -= 5.62		}		#points->insert(#heading)	}	return #points}define compassShort => array(	'N','Nbe','N-ne','Nebn','Ne','Nebe','E-ne','Ebn',	'E','Ebs','E-se','Sebe','Se','Sebs','S-se','Sbe',	'S','Sbw','S-sw','Swbs','Sw','Swbw','W-sw','Wbs',	'W','Wbn','W-nw','Nwbw','Nw','Nwbn','N-nw','Nbw', 'N')define compassLong(short::string) => {	local(o = string)	with i in #short->values do => { #o->append(compassLongProcessor(#i)) }	return #o}define compassLongProcessor(char::string) => {	#char == 'N' ? return #char + 'orth'	#char == 'S' ? return #char + 'outh'	#char == 'E' ? return #char + 'ast'	#char == 'W' ? return #char + 'est'	#char == 'b' ? return ' by '	#char == '-' ? return '-'	}// test output points as decimals//pointsarray // test output the array of text values//compassShort // test output the long names of the text values//with s in compassShort do => {^ compassLong(#s) + '\r' ^} 'angle  | box  | compass point---------------------------------'local(counter = 0)with p in pointsarray do => {^	local(pformatted = #p->asString(-precision=2))	while(#pformatted->size < 6) => { #pformatted->append(' ') }	#counter += 1	#counter > 32 ? #counter = 1	#pformatted + ' |  ' + (#counter < 10 ? ' ') + #counter + '  | ' + compassLong(compassShort->get(#counter)) + '\r' ^}`
Output:
```angle  | box  | compass point
---------------------------------
0.00   |   1  | North
16.87  |   2  | North by east
16.88  |   3  | North-northeast
33.75  |   4  | Northeast by north
50.62  |   5  | Northeast
50.63  |   6  | Northeast by east
67.50  |   7  | East-northeast
84.37  |   8  | East by north
84.38  |   9  | East
101.25 |  10  | East by south
118.12 |  11  | East-southeast
118.13 |  12  | Southeast by east
135.00 |  13  | Southeast
151.87 |  14  | Southeast by south
151.88 |  15  | South-southeast
168.75 |  16  | South by east
185.62 |  17  | South
185.63 |  18  | South by west
202.50 |  19  | South-southwest
219.37 |  20  | Southwest by south
219.38 |  21  | Southwest
236.25 |  22  | Southwest by west
253.12 |  23  | West-southwest
253.13 |  24  | West by south
270.00 |  25  | West
286.87 |  26  | West by north
286.88 |  27  | West-northwest
303.75 |  28  | Northwest by west
320.62 |  29  | Northwest
320.63 |  30  | Northwest by north
337.50 |  31  | North-northwest
354.37 |  32  | North by west
354.38 |   1  | North```

LLVM

Translation of: C
`; This is not strictly LLVM, as it uses the C library function "printf".; LLVM does not provide a way to print values, so the alternative would be; to just load the string into memory, and that would be boring. ; Additional comments have been inserted, as well as changes made from the output produced by clang such as putting more meaningful labels for the jumps ;--- The declarations for the external C functionsdeclare i32 @printf(i8*, ...) \$"COMPASS_STR" = comdat any\$"OUTPUT_STR" = comdat any @main.degrees = private unnamed_addr constant [33 x double] [double 0.000000e+00, double 1.687000e+01, double 1.688000e+01, double 3.375000e+01, double 5.062000e+01, double 5.063000e+01, double 6.750000e+01, double 8.437000e+01, double 0x40551851EB851EB8, double 1.012500e+02, double 1.181200e+02, double 1.181300e+02, double 1.350000e+02, double 1.518700e+02, double 1.518800e+02, double 1.687500e+02, double 1.856200e+02, double 1.856300e+02, double 2.025000e+02, double 2.193700e+02, double 2.193800e+02, double 2.362500e+02, double 2.531200e+02, double 2.531300e+02, double 2.700000e+02, double 2.868700e+02, double 2.868800e+02, double 3.037500e+02, double 3.206200e+02, double 3.206300e+02, double 3.375000e+02, double 3.543700e+02, double 3.543800e+02], align 16@"COMPASS_STR" = linkonce_odr unnamed_addr constant [727 x i8] c"North                 North by east         North-northeast       Northeast by north    Northeast             Northeast by east     East-northeast        East by north         East                  East by south         East-southeast        Southeast by east     Southeast             Southeast by south    South-southeast       South by east         South                 South by west         South-southwest       Southwest by south    Southwest             Southwest by west     West-southwest        West by south         West                  West by north         West-northwest        Northwest by west     Northwest             Northwest by north    North-northwest       North by west         North                 \00", comdat, align 1@"OUTPUT_STR" = linkonce_odr unnamed_addr constant [19 x i8] c"%2d  %.22s  %6.2f\0A\00", comdat, align 1 ; Function Attrs: noinline nounwind optnone uwtabledefine i32 @main() #0 {  %1 = alloca i32, align 4                  ;-- allocate i  %2 = alloca i32, align 4                  ;-- allocate j  %3 = alloca [33 x double], align 16       ;-- allocate degrees  %4 = alloca i8*, align 8                  ;-- allocate names  %5 = bitcast [33 x double]* %3 to i8*  call void @llvm.memcpy.p0i8.p0i8.i64(i8* %5, i8* bitcast ([33 x double]* @main.degrees to i8*), i64 264, i32 16, i1 false)  store i8* getelementptr inbounds ([727 x i8], [727 x i8]* @"COMPASS_STR", i32 0, i32 0), i8** %4, align 8  store i32 0, i32* %1, align 4             ;-- i = 0  br label %loop loop:  %6 = load i32, i32* %1, align 4           ;-- load i  %7 = icmp slt i32 %6, 33                  ;-- i < 33  br i1 %7, label %loop_body, label %exit loop_body:  %8 = load i32, i32* %1, align 4           ;-- load i  %9 = sext i32 %8 to i64                   ;-- sign extend i  %10 = getelementptr inbounds [33 x double], [33 x double]* %3, i64 0, i64 %9  ;-- calculate index of degrees[i]  %11 = load double, double* %10, align 8   ;-- load degrees[i]  %12 = fmul double %11, 3.200000e+01       ;-- degrees[i] * 32  %13 = fdiv double %12, 3.600000e+02       ;-- degrees[i] * 32 / 360.0  %14 = fadd double 5.000000e-01, %13       ;-- 0.5 + degrees[i] * 32 / 360.0  %15 = fptosi double %14 to i32            ;-- convert floating point to integer  store i32 %15, i32* %2, align 4           ;-- write result to j   %16 = load i8*, i8** %4, align 8          ;-- load names  %17 = load i32, i32* %2, align 4          ;-- load j  %18 = srem i32 %17, 32                    ;-- j % 32  %19 = mul nsw i32 %18, 22                 ;-- (j % 32) * 22  %20 = sext i32 %19 to i64                 ;-- sign extend the result  %21 = getelementptr inbounds i8, i8* %16, i64 %20 ;-- load names at the calculated offset  %22 = load i32, i32* %2, align 4          ;-- load j  %23 = srem i32 %22, 32                    ;-- j % 32  %24 = add nsw i32 %23, 1                  ;-- (j % 32) + 1  %25 = call i32 (i8*, ...) @printf(i8* getelementptr inbounds ([19 x i8], [19 x i8]* @"OUTPUT_STR", i32 0, i32 0), i32 %24, i8* %21, double %11)   %26 = load i32, i32* %1, align 4          ;-- load i  %27 = add nsw i32 %26, 1                  ;-- increment i  store i32 %27, i32* %1, align 4           ;-- store i  br label %loop exit:  ret i32 0} ; Function Attrs: argmemonly nounwinddeclare void @llvm.memcpy.p0i8.p0i8.i64(i8* nocapture writeonly, i8* nocapture readonly, i64, i32, i1) #1 attributes #0 = { noinline nounwind optnone uwtable "correctly-rounded-divide-sqrt-fp-math"="false" "disable-tail-calls"="false" "less-precise-fpmad"="false" "no-frame-pointer-elim"="false" "no-infs-fp-math"="false" "no-jump-tables"="false" "no-nans-fp-math"="false" "no-signed-zeros-fp-math"="false" "no-trapping-math"="false" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+fxsr,+mmx,+sse,+sse2,+x87" "unsafe-fp-math"="false" "use-soft-float"="false" }attributes #1 = { argmemonly nounwind }`
Output:
``` 1  North                     0.00
2  North by east            16.87
3  North-northeast          16.88
4  Northeast by north       33.75
5  Northeast                50.62
6  Northeast by east        50.63
7  East-northeast           67.50
8  East by north            84.37
9  East                     84.38
10  East by south           101.25
11  East-southeast          118.12
12  Southeast by east       118.13
13  Southeast               135.00
14  Southeast by south      151.87
15  South-southeast         151.88
16  South by east           168.75
17  South                   185.62
18  South by west           185.63
19  South-southwest         202.50
20  Southwest by south      219.37
21  Southwest               219.38
22  Southwest by west       236.25
23  West-southwest          253.12
24  West by south           253.13
25  West                    270.00
26  West by north           286.87
27  West-northwest          286.88
28  Northwest by west       303.75
29  Northwest               320.62
30  Northwest by north      320.63
31  North-northwest         337.50
32  North by west           354.37
1  North                   354.38```

Logo

`; List of abbreviated compass point labelsmake "compass_points [ N NbE N-NE NEbN NE NEbE E-NE EbN                       E EbS E-SE SEbE SE SEbS S-SE SbE                       S SbW S-SW SWbS SW SWbW W-SW WbS                       W WbN W-NW NWbW NW NWbN N-NW NbW ] ; List of angles to testmake "test_angles [  0.00  16.87  16.88  33.75  50.62  50.63  67.50                    84.37  84.38 101.25 118.12 118.13 135.00 151.87                   151.88 168.75 185.62 185.63 202.50 219.37 219.38                   236.25 253.12 253.13 270.00 286.87 286.88 303.75                   320.62 320.63 337.50 354.37 354.38 ] ; make comparisons case-sensitivemake "caseignoredp "false ; String utilities: search and replaceto replace_in :src :from :to  output map [ ifelse equalp ? :from [:to] [?] ] :srcend ; pad with spacesto pad :string :length  output cascade [lessp :length count ?] [word ? "\ ] :stringend ; capitalize first letterto capitalize :string  output word (uppercase first :string) butfirst :stringend ; convert compass point abbreviation to full text of labelto expand_point :abbr  foreach [[N north] [E east] [S south] [W west] [b \ by\ ]] [    make "abbr replace_in :abbr (first ?) (last ?)  ]  output capitalize :abbrend ; modulus function that returns 1..N instead of 0..N-1to adjusted_modulo :n :d  output sum 1 modulo (difference :n 1) :dend ; convert a compass angle from degrees into a box index (1..32)to compass_point :degrees  make "degrees modulo :degrees 360  output adjusted_modulo (sum 1 int quotient (sum :degrees 5.625) 11.25) 32end ;  Now output the table of test dataprint (sentence (pad "Degrees 7) "\| (pad "Closest\ Point 18) "\| "Index )foreach :test_angles [  local "index  make "index compass_point ?  local "abbr  make "abbr item :index :compass_points  local "label  make "label expand_point :abbr  print (sentence (form ? 7 2) "\| (pad :label 18) "\| (form :index 2 0) )] ; and exitbye `

Output:

```Degrees | Closest Point      | Index
0.00 | North              |  1
16.87 | North by east      |  2
16.88 | North-northeast    |  3
33.75 | Northeast by north |  4
50.62 | Northeast          |  5
50.63 | Northeast by east  |  6
67.50 | East-northeast     |  7
84.37 | East by north      |  8
84.38 | East               |  9
101.25 | East by south      | 10
118.12 | East-southeast     | 11
118.13 | Southeast by east  | 12
135.00 | Southeast          | 13
151.87 | Southeast by south | 14
151.88 | South-southeast    | 15
168.75 | South by east      | 16
185.62 | South              | 17
185.63 | South by west      | 18
202.50 | South-southwest    | 19
219.37 | Southwest by south | 20
219.38 | Southwest          | 21
236.25 | Southwest by west  | 22
253.12 | West-southwest     | 23
253.13 | West by south      | 24
270.00 | West               | 25
286.87 | West by north      | 26
286.88 | West-northwest     | 27
303.75 | Northwest by west  | 28
320.62 | Northwest          | 29
320.63 | Northwest by north | 30
337.50 | North-northwest    | 31
354.37 | North by west      | 32
354.38 | North              |  1```

Lua

Translation of: Logo
`-- List of abbreviated compass point labelscompass_points = { "N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",                   "E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",                   "S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",                   "W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW" } -- List of angles to testtest_angles = {  0.00,  16.87,  16.88,  33.75,  50.62,  50.63,  67.50,                84.37,  84.38, 101.25, 118.12, 118.13, 135.00, 151.87,               151.88, 168.75, 185.62, 185.63, 202.50, 219.37, 219.38,               236.25, 253.12, 253.13, 270.00, 286.87, 286.88, 303.75,               320.62, 320.63, 337.50, 354.37, 354.38 }  -- capitalize a stringfunction capitalize(s)  return s:sub(1,1):upper() .. s:sub(2)end -- convert compass point abbreviation to full text of labelfunction expand_point(abbr)  for from, to in pairs( { N="north", E="east", S="south", W="west",                             b=" by " }) do    abbr = abbr:gsub(from, to)  end  return capitalize(abbr)end -- modulus function that returns 1..N instead of 0..N-1function adjusted_modulo(n, d)  return 1 + (n - 1) % dend -- convert a compass angle from degrees into a box index (1..32)function compass_point(degrees)  degrees = degrees % 360  return adjusted_modulo(1 + math.floor( (degrees+5.625) / 11.25), 32)end --  Now output the table of test dataheader_format = "%-7s | %-18s | %s"row_format = "%7.2f | %-18s | %2d"print(header_format:format("Degrees", "Closest Point", "Index"))for i, angle in ipairs(test_angles) do  index = compass_point(angle)  abbr  = compass_points[index]  label  = expand_point(abbr)  print(row_format:format(angle, label, index))end`

Output:

```Degrees | Closest Point      | Index
0.00 | North              |  1
16.87 | North by east      |  2
16.88 | North-northeast    |  3
33.75 | Northeast by north |  4
50.62 | Northeast          |  5
50.63 | Northeast by east  |  6
67.50 | East-northeast     |  7
84.37 | East by north      |  8
84.38 | East               |  9
101.25 | East by south      | 10
118.12 | East-southeast     | 11
118.13 | Southeast by east  | 12
135.00 | Southeast          | 13
151.87 | Southeast by south | 14
151.88 | South-southeast    | 15
168.75 | South by east      | 16
185.62 | South              | 17
185.63 | South by west      | 18
202.50 | South-southwest    | 19
219.37 | Southwest by south | 20
219.38 | Southwest          | 21
236.25 | Southwest by west  | 22
253.12 | West-southwest     | 23
253.13 | West by south      | 24
270.00 | West               | 25
286.87 | West by north      | 26
286.88 | West-northwest     | 27
303.75 | Northwest by west  | 28
320.62 | Northwest          | 29
320.63 | Northwest by north | 30
337.50 | North-northwest    | 31
354.37 | North by west      | 32
354.38 | North              |  1```

M2000 Interpreter

In a For Next loop we can change loop variable inside block, but the actual loop hidden variable can't change so for next iteration we get the proper value.

` Module CheckIt {      Locale 1033   'change decimal point char to dot.      Form 80,50    ' set console to 80 characters by 50 lines      \\ Function heading() get a positive double as degrees and return the  compass index (1 for North)      Function heading(d) {            d1=d div 11.25            if d1 mod 3= 1 then d+=5.62 :d1=d div 11.25            =d1 mod 32 +1      }      Dim wind\$(1 to 32)      wind\$(1)="North", "North by east", "North-northeast", "Northeast by north", "Northeast"      wind\$(6)="Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast"      wind\$(12)="Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South"      wind\$(18)="South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest"      wind\$(24)="West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north"      wind\$(31)="North-northwest", "North by west"      oldvalue=-2      newvalue=2      Print " angle | box | compass point"      Print "-------+-----+---------------------"      For i=0 to 360 step 0.005            newvalue=heading(i)            if (newvalue mod 3) =2 then i+=5.62: newvalue=heading(i)            if oldvalue<>newvalue then Print format\$("{0:2:-6}°|  {1::-2} | {2}",i, newvalue, wind\$(newvalue)) : oldvalue=newvalue : refresh      Next i}CheckIt  `
Output:
``` angle | box | compass point
-------+-----+---------------------
0.00°|   1 | North
16.87°|   2 | North by east
16.88°|   3 | North-northeast
33.75°|   4 | Northeast by north
50.62°|   5 | Northeast
50.63°|   6 | Northeast by east
67.50°|   7 | East-northeast
84.37°|   8 | East by north
84.38°|   9 | East
101.25°|  10 | East by south
118.12°|  11 | East-southeast
118.13°|  12 | Southeast by east
135.00°|  13 | Southeast
151.87°|  14 | Southeast by south
151.88°|  15 | South-southeast
168.75°|  16 | South by east
185.62°|  17 | South
185.63°|  18 | South by west
202.50°|  19 | South-southwest
219.37°|  20 | Southwest by south
219.38°|  21 | Southwest
236.25°|  22 | Southwest by west
253.12°|  23 | West-southwest
253.13°|  24 | West by south
270.00°|  25 | West
286.87°|  26 | West by north
286.88°|  27 | West-northwest
303.75°|  28 | Northwest by west
320.62°|  29 | Northwest
320.63°|  30 | Northwest by north
337.50°|  31 | North-northwest
354.37°|  32 | North by west
354.38°|   1 | North
```

Mathematica / Wolfram Language

`Map[List[Part[#,1], dirs[[Part[#,1]]], [email protected][#,2]<>"°"]&,  Map[{Floor[Mod[ #+5.625 , 360]/11.25]+1,#}&,input] ]//TableForm`
```1	North			0.°
2	North by east		16.87°
3	North-northeast		16.88°
4	Northeast by north	33.75°
5	Northeast		50.62°
6	Northeast by east	50.63°
7	East-northeast		67.5°
8	East by north		84.37°
9	East			84.38°
10	East by Southeast	101.25°
11	East-southeast		118.12°
12	Southeast by east	118.13°
13	Southeast		135.°
14	Southeast by south	151.87°
15	South-southeast		151.88°
16	South by east		168.75°
17	South			185.62°
18	South by West		185.63°
19	South-southwest		202.5°
20	Southwest by south	219.37°
21	Southwest		219.38°
22	Southwest by west	236.25°
23	West-southwest		253.12°
24	West by south		253.13°
25	West			270.°
26	West by north		286.87°
27	West-northwest		286.88°
28	Northwest by west	303.75°
29	Northwest		320.62°
30	Northwest by north	320.63°
31	North-northwest		337.5°
32	North by west		354.37°
1	North			354.38°```

MATLAB / Octave

`function b = compassbox(d)     b = ceil(mod(d+360/64,360)*32/360); end; `

Output:

```>> x=[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]';
printf(' angle : box\n'); printf('%6.2f : %2i\n',[x,compassbox(x)]');
angle : box
0.00 :  1
16.87 :  2
16.88 :  3
33.75 :  4
50.62 :  5
50.63 :  6
67.50 :  7
84.37 :  8
84.38 :  9
101.25 : 10
118.12 : 11
118.13 : 12
135.00 : 13
151.87 : 14
151.88 : 15
168.75 : 16
185.62 : 17
185.63 : 18
202.50 : 19
219.37 : 20
219.38 : 21
236.25 : 22
253.12 : 23
253.13 : 24
270.00 : 25
286.87 : 26
286.88 : 27
303.75 : 28
320.62 : 29
320.63 : 30
337.50 : 31
354.37 : 32
354.38 :  1```

Modula-2

`MODULE BoxTheCompass;FROM FormatString IMPORT FormatString;FROM RealStr IMPORT RealToStr;FROM Terminal IMPORT WriteString,WriteLn,Write,ReadChar; PROCEDURE expand(cp : ARRAY OF CHAR);VAR i : INTEGER = 0;BEGIN    WHILE cp[i] # 0C DO        IF i=0 THEN            CASE cp[i] OF                'N': WriteString("North") |                'E': WriteString("East")  |                'S': WriteString("South") |                'W': WriteString("West")  |                'b': WriteString(" by ")            ELSE                WriteString("-");            END;        ELSE            CASE cp[i] OF                'N': WriteString("north") |                'E': WriteString("east")  |                'S': WriteString("south") |                'W': WriteString("west")  |                'b': WriteString(" by ")            ELSE                WriteString("-");            END;        END;        INC(i)    END;END expand; PROCEDURE FormatReal(r : REAL);VAR    buf : ARRAY[0..63] OF CHAR;    u,v : INTEGER;    w : REAL;BEGIN    u := TRUNC(r);    w := r - FLOAT(u);    v := TRUNC(100.0 * w);     FormatString("%6i.%'02i", buf, u, v);    WriteString(buf);END FormatReal; VAR    cp : ARRAY[0..31] OF ARRAY[0..4] OF CHAR = {        "N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",        "E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",        "S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",        "W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"    };    buf : ARRAY[0..63] OF CHAR;    i,index : INTEGER;    heading : REAL;BEGIN    WriteString("Index  Degrees  Compass point");    WriteLn;    WriteString("-----  -------  -------------");    WriteLn;    FOR i:=0 TO 32 DO        index := i MOD 32;        heading := FLOAT(i) * 11.25;        CASE i MOD 3 OF            1: heading := heading + 5.62; |            2: heading := heading - 5.62;        ELSE            (* empty *)        END;        FormatString("%2i  ", buf, index+1);        WriteString(buf);        FormatReal(heading);        WriteString("   ");        expand(cp[index]);        WriteLn    END;     ReadCharEND BoxTheCompass.`

MUMPS

The TCL implementation was the starting point, but this isn't an exact translation.

`BOXING(DEGREE) ;This takes in a degree heading, nominally from 0 to 360, and returns the compass point name. QUIT:((DEGREE<0)||(DEGREE>360)) "land lubber can't read a compass" NEW DIRS,UNP,UNPACK,SEP,DIR,DOS,D,DS,I,F SET DIRS="N^NbE^N-NE^NEbN^NE^NEbE^E-NE^EbN^E^EbS^E-SE^SEbE^SE^SEbS^S-SE^SbE^" SET DIRS=DIRS_"S^SbW^S-SW^SWbS^SW^SWbW^W-SW^WbS^W^WbN^W-NW^NWbW^NW^NWbN^N-NW^NbW" SET UNP="NESWb" SET UNPACK="north^east^south^west^ by " SET SEP=360/\$LENGTH(DIRS,"^") SET DIR=(DEGREE/SEP)+1.5 SET DIR=\$SELECT((DIR>33):DIR-32,1:DIR) SET DOS=\$NUMBER(DIR-.5,0) SET D=\$PIECE(DIRS,"^",DIR) SET DS="" FOR I=1:1:\$LENGTH(D) DO . SET F=\$FIND(UNP,\$EXTRACT(D,I)) SET DS=DS_\$SELECT((F>0):\$PIECE(UNPACK,"^",F-1),1:\$E(D,I)) KILL DIRS,UNP,UNPACK,SEP,DIR,D,I,F QUIT DOS_"^"_DS BOXWRITE NEW POINTS,UP,LO,DIR,P,X SET POINTS="0.0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25,118.12,118.13,135.0,151.87," SET POINTS=POINTS_"151.88,168.75,185.62,185.63,202.5,219.37,219.38,236.25,253.12,253.13,270.0,286.87," SET POINTS=POINTS_"286.88,303.75,320.62,320.63,337.5,354.37,354.38" SET UP="ABCDEFGHIJKLMNOPQRSTUVWXYZ" SET LO="abcdefghijklmnopqrstuvwxyz" FOR P=1:1:\$LENGTH(POINTS,",") DO . SET X=\$\$BOXING(\$PIECE(POINTS,",",P)) . ;Capitalize the initial letter of the direction . SET DIR=\$PIECE(X,"^",2) . SET DIR=\$TRANSLATE(\$EXTRACT(DIR,1),LO,UP)_\$EXTRACT(DIR,2,\$LENGTH(DIR)) . WRITE \$PIECE(X,"^"),?5,DIR,?40,\$JUSTIFY(\$PIECE(POINTS,",",P),10,2),! KILL POINTS,UP,LO,DIR,P,X QUIT`

Output:

```Debugger executing 'BOXWRITE^COMPASS'
1    North                                    0.00
2    North by east                           16.87
3    North-northeast                         16.88
4    Northeast by north                      33.75
5    Northeast                               50.62
6    Northeast by east                       50.63
7    East-northeast                          67.50
8    East by north                           84.37
9    East                                    84.38
10   East by south                          101.25
11   East-southeast                         118.12
12   Southeast by east                      118.13
13   Southeast                              135.00
14   Southeast by south                     151.87
15   South-southeast                        151.88
16   South by east                          168.75
17   South                                  185.62
18   South by west                          185.63
19   South-southwest                        202.50
20   Southwest by south                     219.37
21   Southwest                              219.38
22   Southwest by west                      236.25
23   West-southwest                         253.12
24   West by south                          253.13
25   West                                   270.00
26   West by north                          286.87
27   West-northwest                         286.88
28   Northwest by west                      303.75
29   Northwest                              320.62
30   Northwest by north                     320.63
31   North-northwest                        337.50
32   North by west                          354.37
1    North                                  354.38```

NetRexx

`/* NetRexx */options replace format comments java crossref savelog symbols nobinary utf8 class RCBoxTheCompass properties public constant  _FULL = '_FULL' properties indirect  headings = Rexx  rosepoints = Rexx /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method RCBoxTheCompass() public   setHeadings(makeHeadings)  setRosepoints(makeRosepoints)   return /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method main(args = String[]) public static   box = RCBoxTheCompass()   cp = box.getCompassPoints  loop r_ = 1 to cp[0]    say cp[r_]    end r_  say   hx = box.getHeadingsReport(box.getHeadings)  loop r_ = 1 to hx[0]    say hx[r_]    end r_  say   return /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getDecimalAngle(degrees, minutes, seconds) public static returns Rexx   degrees = degrees * 10 % 10  minutes = minutes * 10 % 10  angle = degrees + (minutes / 60 + (seconds / 60 / 60))   return angle /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getDegreesMinutesSeconds(angle) public static returns Rexx   degrees = angle * 100 % 100  minutes = ((angle - degrees) * 60) * 100 % 100  seconds = ((((angle - degrees) * 60) - minutes) * 60) * 100 % 100   return degrees minutes seconds /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getHeadingsReport(bearings) public returns Rexx   r_ = 0  table = ''  r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' -                                          'Abbr' -                                          'Compass Point'.left(20) -                                          'Degrees'.right(10)   loop h_ = 1 to bearings[0]    heading = bearings[h_]    index = getRosepointIndex(heading)    parse getRosepoint(index) p_abbrev p_full     r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) -                                            p_abbrev.left(4) -                                            p_full.left(20) -                                            heading.format(6, 3).right(10)    end h_   return table /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getRosepointIndex(heading) public returns Rexx   one_pt = 360 / 32  hn = heading // 360  hi = hn % one_pt   if hn > hi * one_pt + one_pt / 2 then do    hi = hi + 1 -- greater than max range for this point; bump to next point    end   idx = hi // 32 + 1 -- add one to get index into rosepoints indexed string   return idx /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getRosepoint(index) public returns Rexx   rp = getRosepoints  return rp[index] rp[index, _FULL] /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method makeRosepoints() private returns Rexx   p_ = 0  rp = ''  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'N';    rp[p_, _FULL] = 'North'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbE';  rp[p_, _FULL] = 'North by East'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNE';  rp[p_, _FULL] = 'North-Northeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbn'; rp[p_, _FULL] = 'Northeast by North'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NE';   rp[p_, _FULL] = 'Northeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbE'; rp[p_, _FULL] = 'Northeast by East'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ENE';  rp[p_, _FULL] = 'East-Northeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbN';  rp[p_, _FULL] = 'East by North'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'E';    rp[p_, _FULL] = 'East'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbS';  rp[p_, _FULL] = 'East by South'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ESE';  rp[p_, _FULL] = 'East-Southeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbE'; rp[p_, _FULL] = 'Southeast by East'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SE';   rp[p_, _FULL] = 'Southeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbS'; rp[p_, _FULL] = 'Southeast by South'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSE';  rp[p_, _FULL] = 'South-Southeast'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbE';  rp[p_, _FULL] = 'South by East'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'S';    rp[p_, _FULL] = 'South'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbW';  rp[p_, _FULL] = 'South by West'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSW';  rp[p_, _FULL] = 'South-Southwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbS'; rp[p_, _FULL] = 'Southwest by South'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SW';   rp[p_, _FULL] = 'Southwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbW'; rp[p_, _FULL] = 'Southwest by West'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WSW';  rp[p_, _FULL] = 'Southwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbS';  rp[p_, _FULL] = 'West by South'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'W';    rp[p_, _FULL] = 'West'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbN';  rp[p_, _FULL] = 'West by North'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WNW';  rp[p_, _FULL] = 'West-Northwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbW'; rp[p_, _FULL] = 'Northwest by West'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NW';   rp[p_, _FULL] = 'Northwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbN'; rp[p_, _FULL] = 'Northwest by North'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNW';  rp[p_, _FULL] = 'North-Northwest'  p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbW';  rp[p_, _FULL] = 'North by West'   return rp /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method makeHeadings() private returns Rexx   hdg = ''  hdg[0] = 0  points = 32  loop i_ = 0 to points    heading = i_ * 360 / points     select case i_ // 3      when 1 then heading_h = heading + 5.62      when 2 then heading_h = heading - 5.62      otherwise   heading_h = heading      end     ix = hdg[0] + 1; hdg[0] = ix; hdg[ix] = heading_h    end i_   return hdg /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */method getCompassPoints() public returns Rexx   r_ = 0  table = ''  r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' -                                          'Abbr' -                                          'Compass Point'.left(20) -                                          'Low (Deg.)'.right(10) -                                          'Mid (Deg.)'.right(10) -                                          'Hi (Deg.)'.right(10)   -- one point of the compass is 360 / 32 (11.25) degrees  -- using functions to calculate this just for fun  one_pt = 360 / 32  parse getDegreesMinutesSeconds(one_pt / 2) ad am as .  points = 32  loop h_ = 0 to points - 1    heading = h_ * 360 / points    hmin = heading - getDecimalAngle(ad, am, as)    hmax = heading + getDecimalAngle(ad, am, as)     if hmin < 0 then do      hmin = hmin + 360      end    if hmax >= 360 then do      hmax = hmax - 360      end     index = getRosepointIndex(heading)    parse getRosepoint(index) p_abbrev p_full    r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) -                                            p_abbrev.left(4) -                                            p_full.left(20) -                                            hmin.format(6, 3).right(10) -                                            heading.format(6, 3).right(10) -                                            hmax.format(6, 3).right(10)    end h_   return table `
Output
```Idx Abbr Compass Point        Low (Deg.) Mid (Deg.)  Hi (Deg.)
1 N    North                   354.375      0.000      5.625
2 NbE  North by East             5.625     11.250     16.875
3 NNE  North-Northeast          16.875     22.500     28.125
4 NEbn Northeast by North       28.125     33.750     39.375
5 NE   Northeast                39.375     45.000     50.625
6 NEbE Northeast by East        50.625     56.250     61.875
7 ENE  East-Northeast           61.875     67.500     73.125
8 EbN  East by North            73.125     78.750     84.375
9 E    East                     84.375     90.000     95.625
10 EbS  East by South            95.625    101.250    106.875
11 ESE  East-Southeast          106.875    112.500    118.125
12 SEbE Southeast by East       118.125    123.750    129.375
13 SE   Southeast               129.375    135.000    140.625
14 SEbS Southeast by South      140.625    146.250    151.875
15 SSE  South-Southeast         151.875    157.500    163.125
16 SbE  South by East           163.125    168.750    174.375
17 S    South                   174.375    180.000    185.625
18 SbW  South by West           185.625    191.250    196.875
19 SSW  South-Southwest         196.875    202.500    208.125
20 SWbS Southwest by South      208.125    213.750    219.375
21 SW   Southwest               219.375    225.000    230.625
22 SWbW Southwest by West       230.625    236.250    241.875
23 WSW  Southwest               241.875    247.500    253.125
24 WbS  West by South           253.125    258.750    264.375
25 W    West                    264.375    270.000    275.625
26 WbN  West by North           275.625    281.250    286.875
27 WNW  West-Northwest          286.875    292.500    298.125
28 NWbW Northwest by West       298.125    303.750    309.375
29 NW   Northwest               309.375    315.000    320.625
30 NWbN Northwest by North      320.625    326.250    331.875
31 NNW  North-Northwest         331.875    337.500    343.125
32 NbW  North by West           343.125    348.750    354.375

Idx Abbr Compass Point           Degrees
1 N    North                     0.000
2 NbE  North by East            16.870
3 NNE  North-Northeast          16.880
4 NEbn Northeast by North       33.750
5 NE   Northeast                50.620
6 NEbE Northeast by East        50.630
7 ENE  East-Northeast           67.500
8 EbN  East by North            84.370
9 E    East                     84.380
10 EbS  East by South           101.250
11 ESE  East-Southeast          118.120
12 SEbE Southeast by East       118.130
13 SE   Southeast               135.000
14 SEbS Southeast by South      151.870
15 SSE  South-Southeast         151.880
16 SbE  South by East           168.750
17 S    South                   185.620
18 SbW  South by West           185.630
19 SSW  South-Southwest         202.500
20 SWbS Southwest by South      219.370
21 SW   Southwest               219.380
22 SWbW Southwest by West       236.250
23 WSW  Southwest               253.120
24 WbS  West by South           253.130
25 W    West                    270.000
26 WbN  West by North           286.870
27 WNW  West-Northwest          286.880
28 NWbW Northwest by West       303.750
29 NW   Northwest               320.620
30 NWbN Northwest by North      320.630
31 NNW  North-Northwest         337.500
32 NbW  North by West           354.370
1 N    North                   354.380
```

Nim

`import strfmt const names = [  "North", "North by east", "North-northeast", "Northeast by north",  "Northeast", "Northeast by east", "East-northeast", "East by north",  "East", "East by south", "East-southeast", "Southeast by east",  "Southeast", "Southeast by south","South-southeast", "South by east",  "South", "South by west", "South-southwest", "Southwest by south",  "Southwest", "Southwest by west", "West-southwest", "West by south",  "West", "West by north", "West-northwest", "Northwest by west",  "Northwest", "Northwest by north", "North-northwest", "North by west", "North"] for i in 0..32:  let j = i mod 32  var d = float(i) * 11.25  if i mod 3 == 1: d += 5.62  if i mod 3 == 2: d -= 5.62  printlnfmt "{:2} {:18} {:>6.2f}", j + 1, names[j], d`

Output:

``` 1 North                0
2 North by east       16.87
3 North-northeast     16.88
4 Northeast by north  33.75
5 Northeast           50.62
6 Northeast by east   50.63
7 East-northeast      67.50
8 East by north       84.37
9 East                84.38
10 East by south      101.25
11 East-southeast     118.12
12 Southeast by east  118.13
13 Southeast          135.00
14 Southeast by south 151.87
15 South-southeast    151.88
16 South by east      168.75
17 South              185.62
18 South by west      185.63
19 South-southwest    202.50
20 Southwest by south 219.37
21 Southwest          219.38
22 Southwest by west  236.25
23 West-southwest     253.12
24 West by south      253.13
25 West               270.00
26 West by north      286.87
27 West-northwest     286.88
28 Northwest by west  303.75
29 Northwest          320.62
30 Northwest by north 320.63
31 North-northwest    337.50
32 North by west      354.37
1 North              354.38```

Objeck

` ﻿class BoxCompass {  function : Main(args : String[]) ~ Nil {    points := [      "North             ", "North by east     ", "North-northeast   ",       "Northeast by north", "Northeast         ", "Northeast by east ", "East-northeast    ",      "East by north     ", "East              ", "East by south     ", "East-southeast    ",      "Southeast by east ", "Southeast         ", "Southeast by south", "South-southeast   ",      "South by east     ", "South             ", "South by west     ", "South-southwest   ",       "Southwest by south", "Southwest         ", "Southwest by west ", "West-southwest    ",      "West by south     ", "West              ", "West by north     ", "West-northwest    ",      "Northwest by west ", "Northwest         ", "Northwest by north", "North-northwest   ",      "North by west     " ];     for(i := 0; i<= 32; i += 1;) {      heading := i * 11.25;      select(i % 3) {        label 1: {          heading += 5.62;        }         label 2: {          heading -= 5.62;        }      };       IO.Console->Print((i % 32) + 1)->Print('\t')->Print(points[GetPoint(heading)])        ->Print('\t')->PrintLine(heading);    };  }   function : GetPoint(degrees : Float) ~ Int {    return (degrees / 11.25 + 0.5)->Floor()->As(Int) % 32;  }} `

Output

```1	North             	0
2	North by east     	16.87
3	North-northeast   	16.88
4	Northeast by north	33.75
5	Northeast         	50.62
6	Northeast by east 	50.63
7	East-northeast    	67.5
8	East by north     	84.37
9	East              	84.38
10	East by south     	101.25
11	East-southeast    	118.12
12	Southeast by east 	118.13
13	Southeast         	135
14	Southeast by south	151.87
15	South-southeast   	151.88
16	South by east     	168.75
17	South             	185.62
18	South by west     	185.63
19	South-southwest   	202.5
20	Southwest by south	219.37
21	Southwest         	219.38
22	Southwest by west 	236.25
23	West-southwest    	253.12
24	West by south     	253.13
25	West              	270
26	West by north     	286.87
27	West-northwest    	286.88
28	Northwest by west 	303.75
29	Northwest         	320.62
30	Northwest by north	320.63
31	North-northwest   	337.5
32	North by west     	354.37
1	North             	354.38
```

OCaml

` let test_cases = [0.0; 16.87; 16.88; 33.75; 50.62; 50.63; 67.5;                  84.37; 84.38; 101.25; 118.12; 118.13; 135.0;                  151.87; 151.88; 168.75; 185.62; 185.63; 202.5;                  219.37; 219.38; 236.25; 253.12; 253.13; 270.0;                  286.87; 286.88; 303.75; 320.62; 320.63; 337.5;                  354.37; 354.38];; let directions = ["North"; "North by East"; "North-Northeast";                  "Northeast by North"; "Northeast";                  "Northeast by East"; "East-Northeast"; "East by North";                  "East"; "East by South"; "East-Southeast";                  "Southeast by East"; "Southeast"; "Southeast by South";                  "South-Southeast"; "South by East"; "South";                  "South by West"; "South-Southwest"; "Southwest by South";                  "Southwest"; "Southwest by West"; "West-Southwest";                  "West by South"; "West"; "West by North";                  "West-Northwest"; "Northwest by West"; "Northwest";                  "Northwest by North"; "North-Northwest"; "North by West";];; let get_direction_index input =  let shifted = (input +. 5.6201) in  let shifted = if shifted > 360. then shifted -. 360. else shifted in  int_of_float (shifted /. 11.25);; let print_direction input =  let index = get_direction_index input in  let direction = List.nth directions index in  let test = Printf.printf "%3d %-20s %.2f\n" (index + 1) direction in  test input;;  List.iter (print_direction) test_cases;;  `

Sample output:

```  1 North                0.00
2 North by East        16.87
3 North-Northeast      16.88
4 Northeast by North   33.75
5 Northeast            50.62
6 Northeast by East    50.63
7 East-Northeast       67.50
8 East by North        84.37
9 East                 84.38
10 East by South        101.25
11 East-Southeast       118.12
12 Southeast by East    118.13
13 Southeast            135.00
14 Southeast by South   151.87
15 South-Southeast      151.88
16 South by East        168.75
17 South                185.62
18 South by West        185.63
19 South-Southwest      202.50
20 Southwest by South   219.37
21 Southwest            219.38
22 Southwest by West    236.25
23 West-Southwest       253.12
24 West by South        253.13
25 West                 270.00
26 West by North        286.87
27 West-Northwest       286.88
28 Northwest by West    303.75
29 Northwest            320.62
30 Northwest by North   320.63
31 North-Northwest      337.50
32 North by West        354.37
1 North                354.38
```

OoRexx

`/* Rexx */ Do  globs = '!DEG !MIN !SEC !FULL'  Drop !DEG !MIN !SEC !FULL  sign. = ''  sign.!DEG = 'c2b0'x     -- degree sign  : U+00B0  sign.!MIN = 'e280b2'x   -- prime        : U+2032  sign.!SEC = 'e280b3'x   -- double prime : U+2033  points. = ''   Call display_compass_points   Call display_sample  Say   headings. = ''  headings.0 = 0  Call make_headings   Call flush_queue  Do h_ = 1 to headings.0    Queue headings.h_    End h_   Call display_sample  Say   ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */flush_queue:ProcedureDo  Do q_ = 1 to queued()    Parse pull .    End q_  ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */display_sample:Procedure Expose points. sign. (globs)Do   Do q_ = 1 to queued()    Parse pull heading    index = get_index(heading)    Parse Value get_point(index) with p_abbrev p_full    Say index~right(3),        p_abbrev~left(4) p_full~left(20),        heading~format(5, 3) || sign.!DEG '('format_degrees_minutes_seconds(heading)')',        ''    End q_   ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */display_compass_points:Procedure Expose points. sign. (globs)Do   points = 32  one_pt = 360 / points   Do h_ = 0 to points - 1    heading = h_ * 360 / points    hmin = heading - one_pt / 2    hmax = heading + one_pt / 2     If hmin < 0 then Do      hmin = hmin + 360      End    If hmax >= 360 then Do      hmax = hmax - 360      End     index = (h_ // points) + 1    Parse Value get_point(index) with p_abbrev p_full     Say index~right(3),        p_abbrev~left(4) p_full~left(20),        hmin~format(5, 3)    || sign.!DEG '('format_degrees_minutes_seconds(hmin)')',        heading~format(5, 3) || sign.!DEG '('format_degrees_minutes_seconds(heading)')',        hmax~format(5, 3)    || sign.!DEG '('format_degrees_minutes_seconds(hmax)')',        ''    End h_  Say   ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */make_headings:Procedure Expose headings.Do  points = 32  Do i_ = 0 to points    heading = i_ * 360 / 32     it = i_ // 3    Select      When it = 1 then Do        heading_h = heading + 5.62        End       When it = 2 then Do        heading_h = heading - 5.62        End       Otherwise Do        heading_h = heading        End      End     index = (i_ // points) + 1    ix = headings.0 + 1; headings.0 = ix; headings.ix = heading_h    End i_   ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */get_index:ProcedureDo  Parse Arg heading .   one_pt = 360 / 32  hn = heading // 360  hi = hn % one_pt   If hn > hi * one_pt + one_pt / 2 then Do    hi = hi + 1 -- greater than max range for this point; bump to next point    End   idx = hi // 32 + 1 -- add one to get index into points. stem   Return idxEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */get_point:Procedure Expose points. sign. (globs)Do  Parse arg index .   Call get_points   Return points.index points.index.!FULLEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */get_points:Procedure Expose points. sign. (globs)Do   Drop !FULL   points. = ''  p_ = 0  p_ = p_ + 1; points.0 = p_; points.p_ = 'N';    points.p_.!FULL = 'North'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NbE';  points.p_.!FULL = 'North by East'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NNE';  points.p_.!FULL = 'North-Northeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NEbn'; points.p_.!FULL = 'Northeast by North'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NE';   points.p_.!FULL = 'Northeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NEbE'; points.p_.!FULL = 'Northeast by East'  p_ = p_ + 1; points.0 = p_; points.p_ = 'ENE';  points.p_.!FULL = 'East-Northeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'EbN';  points.p_.!FULL = 'East by North'  p_ = p_ + 1; points.0 = p_; points.p_ = 'E';    points.p_.!FULL = 'East'  p_ = p_ + 1; points.0 = p_; points.p_ = 'EbS';  points.p_.!FULL = 'East by South'  p_ = p_ + 1; points.0 = p_; points.p_ = 'ESE';  points.p_.!FULL = 'East-Southeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SEbE'; points.p_.!FULL = 'Southeast by East'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SE';   points.p_.!FULL = 'Southeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SEbS'; points.p_.!FULL = 'Southeast by South'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SSE';  points.p_.!FULL = 'South-Southeast'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SbE';  points.p_.!FULL = 'South by East'  p_ = p_ + 1; points.0 = p_; points.p_ = 'S';    points.p_.!FULL = 'South'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SbW';  points.p_.!FULL = 'South by West'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SSW';  points.p_.!FULL = 'South-Southwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SWbS'; points.p_.!FULL = 'Southwest by South'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SW';   points.p_.!FULL = 'Southwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'SWbW'; points.p_.!FULL = 'Southwest by West'  p_ = p_ + 1; points.0 = p_; points.p_ = 'WSW';  points.p_.!FULL = 'Southwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'WbS';  points.p_.!FULL = 'West by South'  p_ = p_ + 1; points.0 = p_; points.p_ = 'W';    points.p_.!FULL = 'West'  p_ = p_ + 1; points.0 = p_; points.p_ = 'WbN';  points.p_.!FULL = 'West by North'  p_ = p_ + 1; points.0 = p_; points.p_ = 'WNW';  points.p_.!FULL = 'West-Northwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NWbW'; points.p_.!FULL = 'Northwest by West'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NW';   points.p_.!FULL = 'Northwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NWbN'; points.p_.!FULL = 'Northwest by North'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NNW';  points.p_.!FULL = 'North-Northwest'  p_ = p_ + 1; points.0 = p_; points.p_ = 'NbW';  points.p_.!FULL = 'North by West'   ReturnEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */get_decimal_angle:Procedure Expose sign. (globs)Do  Parse Arg degrees ., minutes ., seconds .   degrees = degrees * 10 % 10  minutes = minutes * 10 % 10   angle = degrees + minutes / 60 + seconds / 60 / 60   Return angleEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */format_decimal_angle:Procedure Expose sign. (globs)Do  Parse Arg degrees ., minutes ., seconds .   Return get_decimal_angle(degrees, minutes, seconds)~format(5, 3) || sign.!DEGEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */get_degrees_minutes_seconds:Procedure Expose sign. (globs)Do  Parse arg angle .   degrees = angle * 100 % 100  minutes = ((angle - degrees) * 60) * 100 % 100  seconds = ((((angle - degrees) * 60) - minutes) * 60) * 100 % 100   Return degrees minutes secondsEndExit /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */format_degrees_minutes_seconds:Procedure Expose  sign. (globs)Do  Parse arg angle .   Parse Value get_degrees_minutes_seconds(angle) with degrees minutes seconds .   formatted = degrees~right(3) || sign.!DEG || minutes~right(2, 0) || sign.!MIN || seconds~right(2, 0) || sign.!SEC   Return formattedEndExit `
Output
```  1 N    North                  354.375° (354°22′30″)     0.000° (  0°00′00″)     5.625° (  5°37′30″)
2 NbE  North by East            5.625° (  5°37′30″)    11.250° ( 11°15′00″)    16.875° ( 16°52′30″)
3 NNE  North-Northeast         16.875° ( 16°52′30″)    22.500° ( 22°30′00″)    28.125° ( 28°07′30″)
4 NEbn Northeast by North      28.125° ( 28°07′30″)    33.750° ( 33°45′00″)    39.375° ( 39°22′30″)
5 NE   Northeast               39.375° ( 39°22′30″)    45.000° ( 45°00′00″)    50.625° ( 50°37′30″)
6 NEbE Northeast by East       50.625° ( 50°37′30″)    56.250° ( 56°15′00″)    61.875° ( 61°52′30″)
7 ENE  East-Northeast          61.875° ( 61°52′30″)    67.500° ( 67°30′00″)    73.125° ( 73°07′30″)
8 EbN  East by North           73.125° ( 73°07′30″)    78.750° ( 78°45′00″)    84.375° ( 84°22′30″)
9 E    East                    84.375° ( 84°22′30″)    90.000° ( 90°00′00″)    95.625° ( 95°37′30″)
10 EbS  East by South           95.625° ( 95°37′30″)   101.250° (101°15′00″)   106.875° (106°52′30″)
11 ESE  East-Southeast         106.875° (106°52′30″)   112.500° (112°30′00″)   118.125° (118°07′30″)
12 SEbE Southeast by East      118.125° (118°07′30″)   123.750° (123°45′00″)   129.375° (129°22′30″)
13 SE   Southeast              129.375° (129°22′30″)   135.000° (135°00′00″)   140.625° (140°37′30″)
14 SEbS Southeast by South     140.625° (140°37′30″)   146.250° (146°15′00″)   151.875° (151°52′30″)
15 SSE  South-Southeast        151.875° (151°52′30″)   157.500° (157°30′00″)   163.125° (163°07′30″)
16 SbE  South by East          163.125° (163°07′30″)   168.750° (168°45′00″)   174.375° (174°22′30″)
17 S    South                  174.375° (174°22′30″)   180.000° (180°00′00″)   185.625° (185°37′30″)
18 SbW  South by West          185.625° (185°37′30″)   191.250° (191°15′00″)   196.875° (196°52′30″)
19 SSW  South-Southwest        196.875° (196°52′30″)   202.500° (202°30′00″)   208.125° (208°07′30″)
20 SWbS Southwest by South     208.125° (208°07′30″)   213.750° (213°45′00″)   219.375° (219°22′30″)
21 SW   Southwest              219.375° (219°22′30″)   225.000° (225°00′00″)   230.625° (230°37′30″)
22 SWbW Southwest by West      230.625° (230°37′30″)   236.250° (236°15′00″)   241.875° (241°52′30″)
23 WSW  Southwest              241.875° (241°52′30″)   247.500° (247°30′00″)   253.125° (253°07′30″)
24 WbS  West by South          253.125° (253°07′30″)   258.750° (258°45′00″)   264.375° (264°22′30″)
25 W    West                   264.375° (264°22′30″)   270.000° (270°00′00″)   275.625° (275°37′30″)
26 WbN  West by North          275.625° (275°37′30″)   281.250° (281°15′00″)   286.875° (286°52′30″)
27 WNW  West-Northwest         286.875° (286°52′30″)   292.500° (292°30′00″)   298.125° (298°07′30″)
28 NWbW Northwest by West      298.125° (298°07′30″)   303.750° (303°45′00″)   309.375° (309°22′30″)
29 NW   Northwest              309.375° (309°22′30″)   315.000° (315°00′00″)   320.625° (320°37′30″)
30 NWbN Northwest by North     320.625° (320°37′30″)   326.250° (326°15′00″)   331.875° (331°52′30″)
31 NNW  North-Northwest        331.875° (331°52′30″)   337.500° (337°30′00″)   343.125° (343°07′30″)
32 NbW  North by West          343.125° (343°07′30″)   348.750° (348°45′00″)   354.375° (354°22′30″)

1 N    North                    0.000° (  0°00′00″)
2 NbE  North by East           16.870° ( 16°52′12″)
3 NNE  North-Northeast         16.880° ( 16°52′48″)
4 NEbn Northeast by North      33.750° ( 33°45′00″)
5 NE   Northeast               50.620° ( 50°37′12″)
6 NEbE Northeast by East       50.630° ( 50°37′48″)
7 ENE  East-Northeast          67.500° ( 67°30′00″)
8 EbN  East by North           84.370° ( 84°22′12″)
9 E    East                    84.380° ( 84°22′48″)
10 EbS  East by South          101.250° (101°15′00″)
11 ESE  East-Southeast         118.120° (118°07′12″)
12 SEbE Southeast by East      118.130° (118°07′48″)
13 SE   Southeast              135.000° (135°00′00″)
14 SEbS Southeast by South     151.870° (151°52′12″)
15 SSE  South-Southeast        151.880° (151°52′48″)
16 SbE  South by East          168.750° (168°45′00″)
17 S    South                  185.620° (185°37′12″)
18 SbW  South by West          185.630° (185°37′48″)
19 SSW  South-Southwest        202.500° (202°30′00″)
20 SWbS Southwest by South     219.370° (219°22′12″)
21 SW   Southwest              219.380° (219°22′48″)
22 SWbW Southwest by West      236.250° (236°15′00″)
23 WSW  Southwest              253.120° (253°07′12″)
24 WbS  West by South          253.130° (253°07′48″)
25 W    West                   270.000° (270°00′00″)
26 WbN  West by North          286.870° (286°52′12″)
27 WNW  West-Northwest         286.880° (286°52′48″)
28 NWbW Northwest by West      303.750° (303°45′00″)
29 NW   Northwest              320.620° (320°37′12″)
30 NWbN Northwest by North     320.630° (320°37′48″)
31 NNW  North-Northwest        337.500° (337°30′00″)
32 NbW  North by West          354.370° (354°22′12″)
1 N    North                  354.380° (354°22′48″)
```

PARI/GP

`box(x)={["North","North by east","North-northeast","Northeast by north","Northeast","Northeast by east","East-northeast","East by north","East","East by south","East-southeast","Southeast by east","Southeast","Southeast by south","South-southeast","South by east","South","South by west","South-southwest","Southwest by south","Southwest","Southwest by west","West-southwest","West by south","West","West by north","West-northwest","Northwest by west","Northwest","Northwest by north","North-northwest","North by west"][round(x*4/45)%32+1]};for(i=0,32,print(i%32+1" "box(x=i*11.25+if(i%3==1,5.62,if(i%3==2,-5.62)))" "x))`

Output:

```1 North 0
2 North by east 16.8700000
3 North-northeast 16.8800000
4 Northeast by north 33.7500000
5 Northeast 50.6200000
6 Northeast by east 50.6300000
7 East-northeast 67.5000000
8 East by north 84.3700000
9 East 84.3800000
10 East by south 101.250000
11 East-southeast 118.120000
12 Southeast by east 118.130000
13 Southeast 135.000000
14 Southeast by south 151.870000
15 South-southeast 151.880000
16 South by east 168.750000
17 South 185.620000
18 South by west 185.630000
19 South-southwest 202.500000
20 Southwest by south 219.370000
21 Southwest 219.380000
22 Southwest by west 236.250000
23 West-southwest 253.120000
24 West by south 253.130000
25 West 270.000000
26 West by north 286.870000
27 West-northwest 286.880000
28 Northwest by west 303.750000
29 Northwest 320.620000
30 Northwest by north 320.630000
31 North-northwest 337.500000
32 North by west 354.370000
1 North 354.380000```

Pascal

Translation of: Fortran
`program BoxTheCompass(output); function compasspoint(angle: real): string;  const    points: array [1..32] of string =       ('North             ', 'North by east     ', 'North-northeast   ', 'Northeast by north',        'Northeast         ', 'Northeast by east ', 'East-northeast    ', 'East by north     ',        'East              ', 'East by south     ', 'East-southeast    ', 'Southeast by east ',        'Southeast         ', 'Southeast by south', 'South-southeast   ', 'South by east     ',        'South             ', 'South by west     ', 'South-southwest   ', 'Southwest by south',        'Southwest         ', 'Southwest by west ', 'West-southwest    ', 'West by south     ',        'West              ', 'West by north     ', 'West-northwest    ', 'Northwest by west ',        'Northwest         ', 'Northwest by north', 'North-northwest   ', 'North by west     '      );  var    index: integer;  begin    index := round (angle / 11.25);    index := index mod 32 + 1;    compasspoint := points[index];  end; var  i:       integer;  heading: real; begin  for i := 0 to 32 do  begin    heading := i * 11.25;    case (i mod 3) of      1: heading := heading + 5.62;      2: heading := heading - 5.62;    end;    writeln((i mod 32) + 1:2, ' ', compasspoint(heading), ' ', heading:8:4);  end;end.`

Output:

```:> ./BoxTheCompass
1 North                0.0000
2 North by east       16.8700
3 North-northeast     16.8800
4 Northeast by north  33.7500
5 Northeast           50.6200
6 Northeast by east   50.6300
7 East-northeast      67.5000
8 East by north       84.3700
9 East                84.3800
10 East by south      101.2500
11 East-southeast     118.1200
12 Southeast by east  118.1300
13 Southeast          135.0000
14 Southeast by south 151.8700
15 South-southeast    151.8800
16 South by east      168.7500
17 South              185.6200
18 South by west      185.6300
19 South-southwest    202.5000
20 Southwest by south 219.3700
21 Southwest          219.3800
22 Southwest by west  236.2500
23 West-southwest     253.1200
24 West by south      253.1300
25 West               270.0000
26 West by north      286.8700
27 West-northwest     286.8800
28 Northwest by west  303.7500
29 Northwest          320.6200
30 Northwest by north 320.6300
31 North-northwest    337.5000
32 North by west      354.3700
1 North              354.3800
```

Perl

Don't waste brain cells calculating names, not worth the effort. Code is probably shorter, faster, and easier to read this way.

`use utf8; my @names = (	"North",	"North by east",	"North-northeast",	"Northeast by north",	"Northeast",	"Northeast by east",	"East-northeast",	"East by north",	"East",	"East by south",	"East-southeast",	"Southeast by east",	"Southeast",	"Southeast by south",	"South-southeast",	"South by east",	"South",	"South by west",	"South-southwest",	"Southwest by south",	"Southwest",	"Southwest by west",	"West-southwest",	"West by south",	"West",	"West by north",	"West-northwest",	"Northwest by west",	"Northwest",	"Northwest by north",	"North-northwest",	"North by west",);my @angles = (0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38,	101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62,	185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0,	286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38); for (@angles) {	my \$i = int((\$_ * 32 / 360) + .5) % 32;	printf "%3d %18s %6.2f°\n", \$i + 1, \$names[\$i], \$_;}`
output
`  1              North   0.00°  2      North by east  16.87°  3    North-northeast  16.88°  4 Northeast by north  33.75°  5          Northeast  50.62°  6  Northeast by east  50.63°  7     East-northeast  67.50°  8      East by north  84.37°  9               East  84.38° 10      East by south 101.25° 11     East-southeast 118.12° 12  Southeast by east 118.13° 13          Southeast 135.00° 14 Southeast by south 151.87° 15    South-southeast 151.88° 16      South by east 168.75° 17              South 185.62° 18      South by west 185.63° 19    South-southwest 202.50° 20 Southwest by south 219.37° 21          Southwest 219.38° 22  Southwest by west 236.25° 23     West-southwest 253.12° 24      West by south 253.13° 25               West 270.00° 26      West by north 286.87° 27     West-northwest 286.88° 28  Northwest by west 303.75° 29          Northwest 320.62° 30 Northwest by north 320.63° 31    North-northwest 337.50° 32      North by west 354.37°  1              North 354.38°`

Perl 6

Works with: Rakudo version 2015.12
`sub point (Int \$index) {    my \$ix = \$index % 32;    if \$ix +& 1        { "&point((\$ix + 1) +& 28) by &point(((2 - (\$ix +& 2)) * 4) + \$ix +& 24)" }    elsif \$ix +& 2        { "&point((\$ix + 2) +& 24)-&point((\$ix +| 4) +& 28)" }    elsif \$ix +& 4        { "&point((\$ix + 8) +& 16)&point((\$ix +| 8) +& 24)" }    else        { <north east south west>[\$ix div 8]; }} sub test-angle (\$ix) { \$ix * 11.25 + (0, 5.62, -5.62)[ \$ix % 3 ] }sub angle-to-point(\𝜽) { floor 𝜽 / 360 * 32 + 0.5 } for 0 .. 32 -> \$ix {    my \𝜽 = test-angle(\$ix);    printf "  %2d %6.2f° %s\n",              \$ix % 32 + 1,                  𝜽,                         tc point angle-to-point 𝜽;}`

Output:

```   1   0.00° North
2  16.87° North by east
3  16.88° North-northeast
4  33.75° Northeast by north
5  50.62° Northeast
6  50.63° Northeast by east
7  67.50° East-northeast
8  84.37° East by north
9  84.38° East
10 101.25° East by south
11 118.12° East-southeast
12 118.13° Southeast by east
13 135.00° Southeast
14 151.87° Southeast by south
15 151.88° South-southeast
16 168.75° South by east
17 185.62° South
18 185.63° South by west
19 202.50° South-southwest
20 219.37° Southwest by south
21 219.38° Southwest
22 236.25° Southwest by west
23 253.12° West-southwest
24 253.13° West by south
25 270.00° West
26 286.87° West by north
27 286.88° West-northwest
28 303.75° Northwest by west
29 320.62° Northwest
30 320.63° Northwest by north
31 337.50° North-northwest
32 354.37° North by west
1 354.38° North```

Phix

Unlike the Perl guy, for me the maths is the boring bit, building those strings is the fun!

`function get225(integer d, string p1, string p2, string p4)string p3    p3 = p1&'-'&lower(p2)    p2 &= " by "&lower(p1)    p1 &= " by "&lower(p4)    if d then        return {p1,p3,p2}       -- eg {North by east,North-northeast,Northeast by north}    else        return {p2,p3,p1}       -- eg {Northeast by east,East-northeast,East by north}    end ifend function function get45(sequence res, integer d, string p1, string p2)string p3    res = append(res,p1)        -- North/East/South/West    if d then        p3 = p1&lower(p2)       -- Northeast/Southwest    else        p3 = p2&lower(p1)       -- Southeast/Northwest    end if    res &= get225(1,p1,p3,p2)   -- eg get225(1,North,Northeast,East)                                -- -> {North by east,North-northeast,Northeast by north}    res = append(res,p3)        -- Northeast/Southeast/Southwest/Northwest    res &= get225(0,p2,p3,p1)   -- eg get225(0,East,Northeast,North)                                -- -> {Northeast by east,East-northeast,East by north}    return resend function function get90(sequence points)sequence res = {}    for i=1 to length(points) do        res = get45(res,remainder(i,2),points[i],points[remainder(i,4)+1])    end for -- ie get45(1,North,East)            --    get45(0,East,South)            --    get45(1,South,West)            --    get45(0,West,North)    return resend function constant compass_points = get90({"North","East","South","West"}) atom test_pointinteger compass_pointfor i = 1 to 33 do    test_point = (i-1)*11.25 + 5.62*(remainder(i,3)-1)    compass_point = remainder(floor(test_point*32/360+0.5),32)+1    printf(1, "%2d  %-22s  %6.2f\n", {compass_point, compass_points[compass_point], test_point})end for`

If you like, you can regard d=1 (both of them) as "clockwise-name-inherit" and d=0 as "anti-clockwise-name-inherit".

Output:
``` 1  North                     0.00
2  North by east            16.87
3  North-northeast          16.88
4  Northeast by north       33.75
5  Northeast                50.62
6  Northeast by east        50.63
7  East-northeast           67.50
8  East by north            84.37
9  East                     84.38
10  East by south           101.25
11  East-southeast          118.12
12  Southeast by east       118.13
13  Southeast               135.00
14  Southeast by south      151.87
15  South-southeast         151.88
16  South by east           168.75
17  South                   185.62
18  South by west           185.63
19  South-southwest         202.50
20  Southwest by south      219.37
21  Southwest               219.38
22  Southwest by west       236.25
23  West-southwest          253.12
24  West by south           253.13
25  West                    270.00
26  West by north           286.87
27  West-northwest          286.88
28  Northwest by west       303.75
29  Northwest               320.62
30  Northwest by north      320.63
31  North-northwest         337.50
32  North by west           354.37
1  North                   354.38
```

of course the following (more sensible but less fun) way works just as well, and produces the same output

`constant compass_points = { "North",        "North by east",        "North-northeast",      "Northeast by north",                            "Northeast",    "Northeast by east",    "East-northeast",       "East by north",                            "East",         "East by south",        "East-southeast",       "Southeast by east",                            "Southeast",    "Southeast by south",   "South-southeast",      "South by east",                            "South",        "South by west",        "South-southwest",      "Southwest by south",                            "Southwest",    "Southwest by west",    "West-southwest",       "West by south",                            "West",         "West by north",        "West-northwest",       "Northwest by west",                            "Northwest",    "Northwest by north",   "North-northwest",      "North by west"},        test_points = {    0.0,  16.87,  16.88,  33.75,  50.62,  50.63,  67.5,   84.37,  84.38, 101.25, 118.12,                         118.13, 135.0,  151.87, 151.88, 168.75, 185.62, 185.63, 202.5,  219.37, 219.38, 236.25,                         253.12, 253.13, 270.0,  286.87, 286.88, 303.75, 320.62, 320.63, 337.5,  354.37, 354.38}for i=1 to length(test_points) do    integer compass_point = remainder(floor(test_points[i]*32/360+0.5),32)+1    printf(1, "%2d  %-22s  %6.2f\n", {compass_point, compass_points[compass_point], test_points[i]})end for`

PicoLisp

`(scl 3) (setq *Compass                      # Build lookup table   (let H -16.875      (mapcar         '((Str)            (cons               (inc 'H 11.25)       # Heading in degrees               (pack                # Compass point                  (replace (chop Str)                     "N" "north"                     "E" "east"                     "S" "south"                     "W" "west"                     "b" " by " ) ) ) )         '("N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"            "E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"            "S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"            "W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"            "N" ) ) ) ) (de heading (Deg)   (rank (% Deg 360.00) *Compass) ) (for I (range 0 32)   (let H (* I 11.25)      (case (% I 3)         (1 (inc 'H 5.62))         (2 (dec 'H 5.62)) )      (tab (3 1 -18 8)         (inc (% I 32))         NIL         (cdr (heading H))         (round H 2) ) ) )`

Output:

```  1 north                 0.00
2 north by east        16.87
3 north-northeast      16.88
4 northeast by north   33.75
5 northeast            50.62
6 northeast by east    50.63
7 east-northeast       67.50
8 east by north        84.37
9 east                 84.38
10 east by south       101.25
11 east-southeast      118.12
12 southeast by east   118.13
13 southeast           135.00
14 southeast by south  151.87
15 south-southeast     151.88
16 south by east       168.75
17 south               185.62
18 south by west       185.63
19 south-southwest     202.50
20 southwest by south  219.37
21 southwest           219.38
22 southwest by west   236.25
23 west-southwest      253.12
24 west by south       253.13
25 west                270.00
26 west by north       286.87
27 west-northwest      286.88
28 northwest by west   303.75
29 northwest           320.62
30 northwest by north  320.63
31 north-northwest     337.50
32 north by west       354.37
1 north               354.38```

PowerShell

`function Convert-DegreeToDirection ( [double]\$Degree )    {     \$Directions = @(    'n','n by e','n-ne','ne by n','ne','ne by e','e-ne','e by n',                        'e','e by s','e-se','se by e','se','se by s','s-se','s by e',                        's','s by w','s-sw','sw by s','sw','sw by w','w-sw','w by s',                        'w','w by n','w-nw','nw by w','nw','nw by n','n-nw','n by w',                        'n'                    ).Replace( 's', 'south' ).Replace( 'e', 'east' ).Replace( 'n', 'north' ).Replace( 'w', 'west' )     \$Directions[[math]::floor(( \$Degree % 360 ) / 11.25 + 0.5 )]    } \$x = 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38 \$x | % { Convert-DegreeToDirection -Degree \$_ }`
Output:
```north
north by east
north-northeast
northeast by north
northeast
northeast by east
east-northeast
east by north
east
east by south
east-southeast
southeast by east
southeast
southeast by south
south-southeast
south by east
south
south by west
south-southwest
southwest by south
southwest
southwest by west
west-southwest
west by south
west
west by north
west-northwest
northwest by west
northwest
northwest by north
north-northwest
north by west
north```

A more general solution allowing you to choose whether to use 4, 8, 16, or 32 compass points.

`function Convert-DegreeToDirection ( [double]\$Degree, [int]\$Points )    {     \$Directions = @(    'n','n by e','n-ne','ne by n','ne','ne by e','e-ne','e by n',                        'e','e by s','e-se','se by e','se','se by s','s-se','s by e',                        's','s by w','s-sw','sw by s','sw','sw by w','w-sw','w by s',                        'w','w by n','w-nw','nw by w','nw','nw by n','n-nw','n by w',                        'n'                    ).Replace( 's', 'south' ).Replace( 'e', 'east' ).Replace( 'n', 'north' ).Replace( 'w', 'west' )     \$Directions[[math]::floor((( \$Degree % 360 ) * \$Points / 360 + 0.5 )) * 32 / \$Points ]    } \$x = 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38  \$Values = @()ForEach ( \$Degree in \$X ) { \$Values += [pscustomobject]@{  Degree = \$Degree                                                               32 = ( Convert-DegreeToDirection -Degree \$Degree -Points 32 )                                                               16 = ( Convert-DegreeToDirection -Degree \$Degree -Points 16 )                                                                8 = ( Convert-DegreeToDirection -Degree \$Degree -Points  8 )                                                                4 = ( Convert-DegreeToDirection -Degree \$Degree -Points  4 ) } }\$Values | Format-Table`
Output:
```Degree 32                 16              8         4
------ --                 --              -         -
0 north              north           north     north
16.87 north by east      north-northeast north     north
16.88 north-northeast    north-northeast north     north
33.75 northeast by north northeast       northeast north
50.62 northeast          northeast       northeast east
50.63 northeast by east  northeast       northeast east
67.5 east-northeast     east-northeast  east      east
84.37 east by north      east            east      east
84.38 east               east            east      east
101.25 east by south      east-southeast  east      east
118.12 east-southeast     east-southeast  southeast east
118.13 southeast by east  east-southeast  southeast east
135 southeast          southeast       southeast south
151.87 southeast by south south-southeast southeast south
151.88 south-southeast    south-southeast southeast south
168.75 south by east      south           south     south
185.62 south              south           south     south
185.63 south by west      south           south     south
202.5 south-southwest    south-southwest southwest south
219.37 southwest by south southwest       southwest south
219.38 southwest          southwest       southwest south
236.25 southwest by west  west-southwest  southwest west
253.12 west-southwest     west-southwest  west      west
253.13 west by south      west-southwest  west      west
270 west               west            west      west
286.87 west by north      west-northwest  west      west
286.88 west-northwest     west-northwest  west      west
303.75 northwest by west  northwest       northwest west
320.62 northwest          northwest       northwest north
320.63 northwest by north northwest       northwest north
337.5 north-northwest    north-northwest north     north
354.37 north by west      north           north     north
354.38 north              north           north     north```

PureBasic

`DataSection  Data.s "N", "north", "E", "east", "W", "west", "S", "south", "b", " by "   ;abbreviations, expansions  Data.s "N NbE N-NE NEbN NE NEbE E-NE EbN E EbS E-SE SEbE SE SEbS S-SE SbE" ;dirs  Data.s "S SbW S-SW SWbS SW SWbW W-SW WbS W WbN W-NW NWbW NW NWbN N-NW NbW"EndDataSection ;initialize dataNewMap dirSubst.s()Define i, abbr.s, expansion.sFor i = 1 To 5  Read.s abbr  Read.s expansion  dirSubst(abbr) = expansionNext  Dim dirs.s(32)Define j, s.sFor j = 0 To 1  Read.s s.s  For i = 0 To 15    abbr.s = StringField(s, i + 1, " ")    dirs(j * 16 + i) = abbr  NextNext ;expand abbreviated compass point and capitalizeProcedure.s abbr2compassPoint(abbr.s)  Shared dirSubst()  Protected i, compassPoint.s, key.s   For i = 1 To Len(abbr)    key.s = Mid(abbr, i, 1)    If FindMapElement(dirSubst(), key)      compassPoint + dirSubst(key)    Else      compassPoint + key    EndIf  Next  ProcedureReturn UCase(Left(compassPoint, 1)) + Mid(compassPoint, 2)EndProcedure Procedure.s angle2compass(angle.f)  Shared dirs()  Static segment.f = 360.0 / 32 ;width of each compass segment  Protected dir   ;work out which segment contains the compass angle  dir = Int((Mod(angle, 360) / segment) + 0.5)   ;convert to a named direction  ProcedureReturn abbr2compassPoint(dirs(dir))EndProcedure ;box the compassIf OpenConsole()   Define i, heading.f, index   For i = 0 To 32    heading = i * 11.25    If i % 3 = 1      heading + 5.62    EndIf     If i % 3 = 2      heading - 5.62    EndIf     index = i % 32 + 1     PrintN(RSet(Str(index), 2) + " " + LSet(angle2compass(heading), 18) + RSet(StrF(heading, 2), 7))  Next    Print(#CRLF\$ + #CRLF\$ + "Press ENTER to exit"): Input()  CloseConsole()EndIf`

Sample output:

``` 1 North                0.00
2 North by east       16.87
3 North-northeast     16.88
4 Northeast by north  33.75
5 Northeast           50.62
6 Northeast by east   50.63
7 East-northeast      67.50
8 East by north       84.37
9 East                84.38
10 East by south      101.25
11 East-southeast     118.12
12 Southeast by east  118.13
13 Southeast          135.00
14 Southeast by south 151.87
15 South-southeast    151.88
16 South by east      168.75
17 South              185.62
18 South by west      185.63
19 South-southwest    202.50
20 Southwest by south 219.37
21 Southwest          219.38
22 Southwest by west  236.25
23 West-southwest     253.12
24 West by south      253.13
25 West               270.00
26 West by north      286.87
27 West-northwest     286.88
28 Northwest by west  303.75
29 Northwest          320.62
30 Northwest by north 320.63
31 North-northwest    337.50
32 North by west      354.37
1                    354.38```

Prolog

Part 1 : The following knowledge base takes a heading in degrees and returns the correct 32-point compass heading. It can also go in the other direction.

` compassangle(1, 'North',n, 0.00).compassangle(2, 'North by east', nbe, 11.25).compassangle(3, 'North-northeast', nne,22.50).compassangle(4, 'Northeast by north', nebn,33.75).compassangle(5, 'Northeast', ne,45.00).compassangle(6, 'Norteast by east', nebe,56.25).compassangle(7, 'East-northeast', ene,67.50).compassangle(8, 'East by North', ebn,78.75).compassangle(9, 'East', e,90.00).compassangle(10, 'East by south', ebs, 101.25).compassangle(11, 'East-southeast', ese,112.50).compassangle(12, 'Southeast by east', sebe, 123.75).compassangle(13, 'Southeast', se, 135.00).compassangle(14, 'Southeast by south', sebs, 146.25).compassangle(15, 'South-southeast',sse, 157.50).compassangle(16, 'South by east', sbe, 168.75).compassangle(17, 'South', s, 180.00).compassangle(18, 'South by west', sbw, 191.25).compassangle(19, 'South-southwest', ssw, 202.50).compassangle(20, 'Southwest by south', swbs, 213.75).compassangle(21, 'Southwest', sw, 225.00).compassangle(22, 'Southwest by west', swbw, 236.25).compassangle(23, 'West-southwest', wsw, 247.50).compassangle(24, 'West by south', wbs, 258.75).compassangle(25, 'West', w, 270.00).compassangle(26, 'West by north', wbn, 281.25).compassangle(27, 'West-northwest', wnw, 292.50).compassangle(28, 'Northwest by west', nwbw, 303.75).compassangle(29, 'Northwest', nw, 315.00).compassangle(30, 'Northwest by north', nwbn, 326.25).compassangle(31, 'North-northwest', nnw, 337.50).compassangle(32, 'North by west', nbw, 348.75).compassangle(1, 'North', n, 360.00).compassangle(Index , Name, Heading, Angle) :- nonvar(Angle), resolveindex(Angle, Index),                                                compassangle(Index,Name, Heading, _). resolveindex(Angle, Index) :- N is Angle / 11.25 + 0.5, I is floor(N),Index is (I mod 32) + 1. `

Part 2 : The following rules print a table of indexes.

` printTableRow(Angle) :- compassangle(Index, Name, _, Angle),                         write(Index), write('    '),                        write(Name), write('   '),                        write(Angle). printTable([X|Xs]) :- printTableRow(X), nl, printTable(Xs),!.printTable([]). `

The following query prints the required table.

` ?- printTable([0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62,                        185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]).1    North   0.02    North by east   16.873    North-northeast   16.884    Northeast by north   33.755    Northeast   50.626    Norteast by east   50.637    East-northeast   67.58    East by North   84.379    East   84.3810    East by south   101.2511    East-southeast   118.1212    Southeast by east   118.1313    Southeast   135.014    Southeast by south   151.8715    South-southeast   151.8816    South by east   168.7517    South   185.6218    South by west   185.6319    South-southwest   202.520    Southwest by south   219.3721    Southwest   219.3822    Southwest by west   236.2523    West-southwest   253.1224    West by south   253.1325    West   270.026    West by north   286.8727    West-northwest   286.8828    Northwest by west   303.7529    Northwest   320.6230    Northwest by north   320.6331    North-northwest   337.532    North by west   354.371    North   354.38true. `

Python

`majors   = 'north east south west'.split()majors   *= 2 # no need for modulo laterquarter1 = 'N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N'.split(',')quarter2 = [p.replace('NE','EN') for p in quarter1] def degrees2compasspoint(d):    d = (d % 360) + 360/64    majorindex, minor = divmod(d, 90.)    majorindex = int(majorindex)    minorindex  = int( (minor*4) // 45 )    p1, p2 = majors[majorindex: majorindex+2]    if p1 in {'north', 'south'}:        q = quarter1    else:        q = quarter2    return q[minorindex].replace('N', p1).replace('E', p2).capitalize() if __name__ == '__main__':    for i in range(33):        d = i * 11.25        m = i % 3        if   m == 1: d += 5.62        elif m == 2: d -= 5.62        n = i % 32 + 1        print( '%2i %-18s %7.2f°' % (n, degrees2compasspoint(d), d) )`
Output
``` 1 North                 0.00°
2 North by east        16.87°
3 North-northeast      16.88°
4 Northeast by north   33.75°
5 Northeast            50.62°
6 Northeast by east    50.63°
7 East-northeast       67.50°
8 East by north        84.37°
9 East                 84.38°
10 East by south       101.25°
11 East-southeast      118.12°
12 Southeast by east   118.13°
13 Southeast           135.00°
14 Southeast by south  151.87°
15 South-southeast     151.88°
16 South by east       168.75°
17 South               185.62°
18 South by west       185.63°
19 South-southwest     202.50°
20 Southwest by south  219.37°
21 Southwest           219.38°
22 Southwest by west   236.25°
23 West-southwest      253.12°
24 West by south       253.13°
25 West                270.00°
26 West by north       286.87°
27 West-northwest      286.88°
28 Northwest by west   303.75°
29 Northwest           320.62°
30 Northwest by north  320.63°
31 North-northwest     337.50°
32 North by west       354.37°
1 North               354.38°```

Racket

`#lang racket ;;; Generate the headings and boxes(define (i->heading/box i)  (values (let ((heading (* i #e11.25)))            (case (modulo i 3)             ((1) (+ heading #e5.62))             ((2) (- heading #e5.62))             (else heading)))   (add1 (modulo i 32))))(define-values (headings-list box-list)  (for/lists (h-lst i-lst) ((i (in-range 0 (add1 32))))             (i->heading/box i))) (define box-names  (list "North" "North by east" "North-northeast"        "Northeast by north" "Northeast" "Northeast by east"        "East-northeast" "East by north" "East" "East by south" "East-southeast"        "Southeast by east" "Southeast" "Southeast by south" "South-southeast"        "South by east" "South" "South by west" "South-southwest"        "Southwest by south" "Southwest" "Southwest by west"        "West-southwest" "West by south" "West" "West by north" "West-northwest"        "Northwest by west" "Northwest" "Northwest by north" "North-northwest"        "North by west")) (define (heading->box h) (let* ((n-boxes (length box-names))        (box-width (/ 360 n-boxes)))  (add1 (modulo (ceiling (- (/ h box-width) 1/2)) n-boxes)))) ;;; displays a single row of the table, can also be used for titles(define (display-row b a p)  (printf "~a | ~a | ~a~%"          (~a b #:width 2 #:align 'right)          (~a a #:width 6 #:align 'right)          (~a p))) ;;; display the table(display-row "#" "Angle" "Point")(displayln "---+--------+-------------------")(for ((heading headings-list))     (let* ((box-number (heading->box heading)))       ;; by coincidence, default value of the second argument to       ;; real->decimal-string "decimal-digits" is 2,... just what we want!       (display-row box-number                    (real->decimal-string heading)                    (list-ref box-names (sub1 box-number))))) (module+ test (require rackunit) ;;; unit test heading->box (the business end of the implementation) (check-= (heading->box 354.38) 1 0) (check-= (heading->box 5.62) 1 0) (check-= (heading->box 5.63) 2 0) (check-= (heading->box 16.87) 2 0))`

Output:

``` # |  Angle | Point
---+--------+-------------------
1 |   0.00 | North
2 |  16.87 | North by east
3 |  16.88 | North-northeast
4 |  33.75 | Northeast by north
5 |  50.62 | Northeast
6 |  50.63 | Northeast by east
7 |  67.50 | East-northeast
8 |  84.37 | East by north
9 |  84.38 | East
10 | 101.25 | East by south
11 | 118.12 | East-southeast
12 | 118.13 | Southeast by east
13 | 135.00 | Southeast
14 | 151.87 | Southeast by south
15 | 151.88 | South-southeast
16 | 168.75 | South by east
17 | 185.62 | South
18 | 185.63 | South by west
19 | 202.50 | South-southwest
20 | 219.37 | Southwest by south
21 | 219.38 | Southwest
22 | 236.25 | Southwest by west
23 | 253.12 | West-southwest
24 | 253.13 | West by south
25 | 270.00 | West
26 | 286.87 | West by north
27 | 286.88 | West-northwest
28 | 303.75 | Northwest by west
29 | 320.62 | Northwest
30 | 320.63 | Northwest by north
31 | 337.50 | North-northwest
32 | 354.37 | North by west
1 | 354.38 | North```

REXX

This version does normalization of the (degree) heading and can also handle negative headings.

`/*REXX program  "boxes the compass"   [from degree (º) headings  ───►  a 32 point set]. */parse arg \$                                      /*allow   º   headings to be specified.*/if \$=''  then \$= 0 16.87 16.88 33.75 50.62 50.63 67.5 84.37 84.38 101.25 118.12 118.13   ,                 135 151.87 151.88 168.75 185.62 185.63 202.5 219.37 219.38 236.25       ,                 253.12 253.13 270 286.87 286.88 303.75 320.62 320.63 337.5 354.37 354.38                                                 /* [↑]  use default, they're in degrees*/@pts= 'n nbe n-ne nebn ne nebe e-ne ebn e ebs e-se sebe se sebs s-se sbe',      "s sbw s-sw swbs sw swbw w-sw wbs w wbn w-nw nwbw nw nwbn n-nw nbw" #= words(@pts) + 1                               /*#:  used for integer ÷ remainder (//)*/dirs= 'north south east west'                    /*define cardinal compass directions.  */                                                 /* [↓]  choose a glyph for degree  (°).*/if 4=='f4'x  then degSym= "a1"x                  /*is this system an  EBCDIC  system?   */             else degSym= "a7"x                  /*'f8'x  is the degree symbol: °  vs º */                                                 /*──────────────────────────── f8 vs a7*/say right(degSym'heading', 30)     center("compass heading", 20)say right(     '════════', 30)     copies(              "═", 20)pad= ' '                                         /*used to interject a blank for output.*/         do j=1  for words(\$);   x= word(\$, j)   /*obtain one of the degree headings.   */         say right( format(x, , 2)degSym, 30-1)          pad         boxHeading(x)         end   /*j*/exit                                             /*stick a fork in it,  we're all done. *//*──────────────────────────────────────────────────────────────────────────────────────*/boxHeading: y= arg(1)//360; if y<0  then y=360-y /*normalize heading within unit circle.*/            z= word(@pts, trunc(max(1, (y/11.25 +1.5) // #))) /*convert degrees─►heading*/                                               do k=1  for words(dirs);   d= word(dirs, k)                                               z=changestr( left(d, 1),  z,  d)                                               end   /*k*/    /* [↑]  old, haystack, new*/            return changestr('b',  z,  " by ")                /*expand  "b" ───► " by ".*/`

Some older REXXes don't have a   changestr   BIF,   so one is included here   ──►   CHANGESTR.REX.

output

```                      ºheading   compass heading
════════ ════════════════════
0.00º   north
16.87º   north by east
16.88º   north-northeast
33.75º   northeast by north
50.62º   northeast
50.63º   northeast by east
67.50º   east-northeast
84.37º   east by north
84.38º   east
101.25º   east by south
118.12º   east-southeast
118.13º   southeast by east
135.00º   southeast
151.87º   southeast by south
151.88º   south-southeast
168.75º   south by east
185.62º   south
185.63º   south by west
202.50º   south-southwest
219.37º   southwest by south
219.38º   southwest
236.25º   southwest by west
253.12º   west-southwest
253.13º   west by south
270.00º   west
286.87º   west by north
286.88º   west-northwest
303.75º   northwest by west
320.62º   northwest
320.63º   northwest by north
337.50º   north-northwest
354.37º   north by west
354.38º   north
```

Ring

` # Project : Box the compass names = ["North", "North by east", "North-northeast",                "Northeast by north", "Northeast", "Northeast by east", "East-northeast",                "East by north", "East", "East by south", "East-southeast",                "Southeast by east", "Southeast", "Southeast by south", "South-southeast",                "South by east", "South", "South by west", "South-southwest",                "Southwest by south", "Southwest", "Southwest by west", "West-southwest",                "West by south", "West", "West by north", "West-northwest",                "Northwest by west", "Northwest", "Northwest by north", "North-northwest",                "North by west", "North"] degrees = [0, 16.87, 16.88, 33.75, 50.62, 50.63,                 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135, 151.87, 151.88, 168.75,                185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270,                286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38] for i = 1 to len(degrees)     j = floor((degrees[i] + 5.625) / 11.25)    if j > 31        j = j - 32    ok    see "" + degrees[i] + " " + j + " "    if j != 0       see "" + names[j+1] + nl    else       see "" + names[len(names)] + nl    oknext `

Output:

```0 0 North
16.87 1 North by east
16.88 2 North-northeast
33.75 3 Northeast by north
50.62 4 Northeast
50.63 5 Northeast by east
67.50 6 East-northeast
84.37 7 East by north
84.38 8 East
101.25 9 East by south
118.12 10 East-southeast
118.13 11 Southeast by east
135 12 Southeast
151.87 13 Southeast by south
151.88 14 South-southeast
168.75 15 South by east
185.62 16 South
185.63 17 South by west
202.50 18 South-southwest
219.37 19 Southwest by south
219.38 20 Southwest
236.25 21 Southwest by west
253.12 22 West-southwest
253.13 23 West by south
270 24 West
286.87 25 West by north
286.88 26 West-northwest
303.75 27 Northwest by west
320.62 28 Northwest
320.63 29 Northwest by north
337.50 30 North-northwest
354.37 31 North by west
354.38 0 North
```

Ruby

`Headings = %w(north east south west north).each_cons(2).flat_map do |a, b|  [a,  "#{a} by #{b}",  "#{a}-#{a}#{b}",  "#{a}#{b} by #{a}",  "#{a}#{b}",   "#{a}#{b} by #{b}",  "#{b}-#{a}#{b}",  "#{b} by #{a}"]endHeadings.prepend nil def heading(degrees)  i = degrees.quo(360).*(32).round.%(32).+(1)  [i, Headings[i]]end # an array of angles, in degreesangles = (0..32).map { |i| i * 11.25 + [0, 5.62, -5.62][i % 3] } angles.each do |degrees|  index, name = heading degrees  printf "%2d %20s %6.2f\n", index, name.center(20), degreesend`
Output:
``` 1        north           0.00
2    north by east      16.87
3   north-northeast     16.88
4  northeast by north   33.75
5      northeast        50.62
6  northeast by east    50.63
7    east-northeast     67.50
8    east by north      84.37
9         east          84.38
10    east by south     101.25
11    east-southeast    118.12
12  southeast by east   118.13
13      southeast       135.00
14  southeast by south  151.87
15   south-southeast    151.88
16    south by east     168.75
17        south         185.62
18    south by west     185.63
19   south-southwest    202.50
20  southwest by south  219.37
21      southwest       219.38
22  southwest by west   236.25
23    west-southwest    253.12
24    west by south     253.13
25         west         270.00
26    west by north     286.87
27    west-northwest    286.88
28  northwest by west   303.75
29      northwest       320.62
30  northwest by north  320.63
31   north-northwest    337.50
32    north by west     354.37
1        north         354.38```

Run BASIC

`global direct\$dim direct\$(22)direct\$(1)  = "y"      'bydirect\$(4)  = "ast"    'Eastdirect\$(13) = "orth"   'Northdirect\$(18) = "outh"   'Soutndirect\$(22) = "est"    'West dim point\$(32)for i =1 to 32: read point\$(i) :next i html "<table border=1>" for i = 0 to 32    hdng = i * 11.25    if (i mod 3) = 1 then        hdng = hdng +5.62    else        if (i mod 3) = 2 then hdng = hdng -5.62    end if    pointer = i mod 32 + 1    html "<TR><TD align=right>";pointer;"</td><td>";compas\$(hdng);"</td><td>";hdng;"</td></tr>"next ihtml "</table>"end function compas\$(hd)x = hd /11.25 + 1.5if (x >=33.0) then x =x -32.0  p\$ = point\$(int(x))  for i = 1 to len(p\$)    compas\$ = compas\$ + mid\$(p\$,i,1) + direct\$(max(asc(upper\$(mid\$(p\$,i,1)))-65,0))  next iend function data "N","N b e","N-ne","Ne b n","Ne","Ne b e","E-ne","E b n","E","E b s","E-se"data "Se b e","Se","Se b s","S-se","S b e","S","S b w","S-sw","Sw b s","Sw","Sw b w"data "W-sw","W b s","W","W b n","W-nw","Nw b w","Nw","Nw b n","N-nw","N b w"`
``` 1North0.0 2North by east16.87 3North-northeast16.88 4Northeast by north33.75 5Northeast50.62 6Northeast by east50.63 7East-northeast67.5 8East by north84.37 9East84.38 10East by south101.25 11East-southeast118.12 12Southeast by east118.13 13Southeast135.0 14Southeast by south151.87 15South-southeast151.88 16South by east168.75 17South185.62 18South by west185.63 19South-southwest202.5 20Southwest by south219.37 21Southwest219.38 22Southwest by west236.25 23West-southwest253.12 24West by south253.13 25West270.0 26West by north286.87 27West-northwest286.88 28Northwest by west303.75 29Northwest320.62 30Northwest by north320.63 31North-northwest337.5 32North by west354.37 1North354.38 ```

Rust

Translation of: Kotlin
`fn expand(cp: &str) -> String {    let mut out = String::new();    for c in cp.chars() {        out.push_str(match c {            'N' => "north",            'E' => "east",            'S' => "south",            'W' => "west",            'b' => " by ",            _ => "-",        });    }    out} fn main() {    let cp = [        "N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",        "E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",        "S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",        "W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"    ];    println!("Index  Degrees  Compass point");    println!("-----  -------  -------------");    for i in 0..=32 {        let index = i % 32;        let heading = i as f32 * 11.25            + match i % 3 {                1 => 5.62,                2 => -5.62,                _ => 0.0,            };        println!(            "{:2}     {:6.2}   {}",            index + 1,            heading,            expand(cp[index])        );    }}`
Output:
```Index  Degrees  Compass point
-----  -------  -------------
1       0.00   north
2      16.87   north by east
3      16.88   north-northeast
4      33.75   northeast by north
5      50.62   northeast
6      50.63   northeast by east
7      67.50   east-northeast
8      84.37   east by north
9      84.38   east
10     101.25   east by south
11     118.12   east-southeast
12     118.13   southeast by east
13     135.00   southeast
14     151.87   southeast by south
15     151.88   south-southeast
16     168.75   south by east
17     185.62   south
18     185.63   south by west
19     202.50   south-southwest
20     219.37   southwest by south
21     219.38   southwest
22     236.25   southwest by west
23     253.12   west-southwest
24     253.13   west by south
25     270.00   west
26     286.87   west by north
27     286.88   west-northwest
28     303.75   northwest by west
29     320.62   northwest
30     320.63   northwest by north
31     337.50   north-northwest
32     354.37   north by west
1     354.38   north```

Scala

Inspired by Java version

`object BoxingTheCompass extends App {  val cardinal = List("north", "east", "south", "west")  val pointDesc = List("1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1")   val pointDeg: Int => Double = i => {	val fswitch: Int => Int = i => i match {case 1 => 1; case 2 => -1; case _ => 0}	i*11.25+fswitch(i%3)*5.62  }   val deg2ind: Double => Int = deg => (deg*32/360+.5).toInt%32+1   val pointName: Int => String = ind => {    val i = ind - 1    val str1 = cardinal(i%32/8)    val str2 = cardinal((i%32/8+1)%4)    val strC = if ((str1 == "north") || (str1 == "south")) str1+str2 else str2+str1    pointDesc(i%32%8).replace("1", str1).replace("2", str2).replace("C", strC).capitalize  }   (0 to 32).map(i=>Triple(pointDeg(i),deg2ind(pointDeg(i)),pointName(deg2ind(pointDeg(i)))))      .map{t=>(printf("%s\t%18s\t%s°\n",t._2,t._3,t._1))}}`

Output:

```1	             North	0.0°
2	     North by east	16.87°
3	   North-northeast	16.88°
4	Northeast by north	33.75°
5	         Northeast	50.62°
6	 Northeast by east	50.63°
7	    East-northeast	67.5°
8	     East by north	84.37°
9	              East	84.38°
10	     East by south	101.25°
11	    East-southeast	118.12°
12	 Southeast by east	118.13°
13	         Southeast	135.0°
14	Southeast by south	151.87°
15	   South-southeast	151.88°
16	     South by east	168.75°
17	             South	185.62°
18	     South by west	185.63°
19	   South-southwest	202.5°
20	Southwest by south	219.37°
21	         Southwest	219.38°
22	 Southwest by west	236.25°
23	    West-southwest	253.12°
24	     West by south	253.13°
25	              West	270.0°
26	     West by north	286.87°
27	    West-northwest	286.88°
28	 Northwest by west	303.75°
29	         Northwest	320.62°
30	Northwest by north	320.63°
31	   North-northwest	337.5°
32	     North by west	354.37°
1	             North	354.38°
```

Seed7

`\$ include "seed7_05.s7i";  include "float.s7i"; const array string: names is [] ("North", "North by east", "North-northeast", "Northeast by north",   "Northeast", "Northeast by east", "East-northeast", "East by north", "East", "East by south",   "East-southeast", "Southeast by east", "Southeast", "Southeast by south", "South-southeast",   "South by east", "South", "South by west", "South-southwest", "Southwest by south", "Southwest",   "Southwest by west", "West-southwest", "West by south", "West", "West by north", "West-northwest",   "Northwest by west", "Northwest", "Northwest by north", "North-northwest", "North by west", "North"); const proc: main is func  local    const array float: degrees is [] (0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38,        101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38,        236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38);    var integer: index is 0;    var integer: nameIndex is 0;  begin    for key index range degrees do      nameIndex := round(degrees[index] * 32.0 / 360.0);      writeln(succ(pred(index) rem 32) lpad 2 <& "  " <& names[succ(nameIndex rem 32)] rpad 22 <&          degrees[index] digits 2 lpad 6);    end for;  end func;`

Output:

``` 1  North                   0.00
2  North by east          16.87
3  North-northeast        16.88
4  Northeast by north     33.75
5  Northeast              50.62
6  Northeast by east      50.63
7  East-northeast         67.50
8  East by north          84.37
9  East                   84.38
10  East by south         101.25
11  East-southeast        118.12
12  Southeast by east     118.13
13  Southeast             135.00
14  Southeast by south    151.87
15  South-southeast       151.88
16  South by east         168.75
17  South                 185.62
18  South by west         185.63
19  South-southwest       202.50
20  Southwest by south    219.37
21  Southwest             219.38
22  Southwest by west     236.25
23  West-southwest        253.12
24  West by south         253.13
25  West                  270.00
26  West by north         286.87
27  West-northwest        286.88
28  Northwest by west     303.75
29  Northwest             320.62
30  Northwest by north    320.63
31  North-northwest       337.50
32  North by west         354.37
1  North                 354.38
```

Sidef

Translation of: Perl 6
`func point (index) {    var ix = (index % 32);    if    (ix & 1) { "#{point((ix + 1) & 28)} by #{point(((2 - (ix & 2)) * 4) + ix & 24)}" }    elsif (ix & 2) { "#{point((ix + 2) & 24)}-#{point((ix | 4) & 28)}" }    elsif (ix & 4) { "#{point((ix + 8) & 16)}#{point((ix | 8) & 24)}" }    else           { <north east south west>[ix / 8] }} func test_angle (ix) { ix * 11.25 + [0, 5.62, -5.62][ ix % 3 ] };func angle_to_point(𝜽) { (𝜽 / 360 * 32) + 0.5 -> floor }; for ix in range(0, 32) {    var 𝜽 = test_angle(ix);    printf("  %2d %6.2f° %s\n", ix % 32 + 1, 𝜽, point(angle_to_point(𝜽)).tc);}`
Output:
```   1   0.00° North
2  16.87° North by east
3  16.88° North-northeast
4  33.75° Northeast by north
5  50.62° Northeast
6  50.63° Northeast by east
7  67.50° East-northeast
8  84.37° East by north
9  84.38° East
10 101.25° East by south
11 118.12° East-southeast
12 118.13° Southeast by east
13 135.00° Southeast
14 151.87° Southeast by south
15 151.88° South-southeast
16 168.75° South by east
17 185.62° South
18 185.63° South by west
19 202.50° South-southwest
20 219.37° Southwest by south
21 219.38° Southwest
22 236.25° Southwest by west
23 253.12° West-southwest
24 253.13° West by south
25 270.00° West
26 286.87° West by north
27 286.88° West-northwest
28 303.75° Northwest by west
29 320.62° Northwest
30 320.63° Northwest by north
31 337.50° North-northwest
32 354.37° North by west
1 354.38° North
```

smart BASIC

`/*Boxing The Compass by rbytes December 2017*/GET SCREEN SIZE sw,shOPTION BASE 1DIM point\$(32,5)FOR i=1 TO 32FOR j=1 TO 5READ point\$(i,j)NEXT jNEXT ihtml\$= "<table border=1>" html\$&= "<TR><TD align=right></td><td>Boxing The Compass</td><td>Abbr</td><td>Min</td><td>Med</td><td>Max</td></tr>"FOR i =1 TO 32  html\$&= "<TR><TD align=right>"&i&"</td><td>"&point\$(i,1)&"</td><td>"&point\$(i,2)&"</td><td>"&point\$(i,3)&"</td><td>"&point\$(i,4)&"</td><td>"&point\$(i,5)&"</td></tr>"NEXT ihtml\$&= "</table>"BROWSER "compass" AT 0,0 SIZE sw-20,sh-20BROWSER "compass" TEXT html\$PAUSE 20END DATA "North", "N",  "354.38", "0", "5.62", "North by east", "NbE", "5.63",  "11.25", "16.87"DATA "North-northeast",  "NNE",  "16.88",  "22.50",  "28.12", "Northeast by north",  "NEbN",  "28.13", "33.75", "39.37"DATA "Northeast", "NE", "39.38", "45.00", "50.62", "Northeast by east", "NEbE", "50.63", "56.25", "61.87"DATA "East-northeast", "ENE", "61.88", "67.50",  "73.12", "East by north", "EbN", "73.13", "78.75", "84.37"DATA "East", "E", "84.38", "90.00", "95.62", "East by south", "EbS", "95.63", "101.25", "106.87"DATA "East-southeast", "ESE", "106.88", "112.50", "118.12", "Southeast by east", "SEbE", "118.13", "123.75", "129.37"DATA "Southeast", "SE", "129.38", "135.00", "140.62", "Southeast by south", "SEbS", "140.63", "146.25", "151.87"DATA "South-southeast", "SSE", "151.88", "157.50", "163.12", "South by east", "SbE", "163.13", "168.75", "174.37"DATA "South", "S", "174.38", "180.00", "185.62", "South by west", "SbW", "185.63", "191.25", "196.87"DATA "South-southwest", "SSW", "196.88", "202.50", "208.12", "Southwest by south", "SWbS", "208.13", "213.75", "219.37"DATA "Southwest", "SW", "219.38", "225.00", "230.62", "Southwest by west", "SWbW", "230.63", "236.25", "241.87"DATA "West-southwest", "WSW", "241.88", "247.50", "253.12", "West by south", "WbS", "253.13", "258.75", "264.37"DATA "West", "W", "264.38", "270.00", "275.62", "West by north", "WbN", "275.63", "281.25", "286.87"DATA "West-northwest", "WNW", "286.88", "292.50", "298.12", "Northwest by west", "NWbW", "298.13", "303.75", "309.37"DATA "Northwest", "NW", "309.38", "315.00", "320.62", "Northwest by north",  "NWbN", "320.63", "326.25", "331.87"DATA "North-northwest", "NNW", "331.88", "337.50", "343.12", "North by west", "NbW", "343.13", "348.75", "354.37" `

Output:

```This chart actually displays as a table in a browser object running in smart Basic

Boxing The Compass   Abbr  Min     Med     Max
1 North                N     354.38  0       5.62
2 North by east        NbE   5.63    11.25   16.87
3 North-northeast      NNE   16.88   22.50   28.12
4 Northeast by north   NEbN  28.13   33.75   39.37
5 Northeast            NE    39.38   45.00   50.62
6 Northeast by east    NEbE  50.63   56.25   61.87
7 East-northeast       ENE   61.88   67.50   73.12
8 East by north        EbN   73.13   78.75   84.37
9 East                 E     84.38   90.00   95.62
10 East by south        EbS   95.63   101.25  106.87
11 East-southeast       ESE   106.88  112.50  118.12
12 Southeast by east    SEbE  118.13  123.75  129.37
13 Southeast            SE    129.38  135.00  140.62
14 Southeast by south   SEbS  140.63  146.25  151.87
15 South-southeast      SSE   151.88  157.50  163.12
16 South by east        SbE   163.13  168.75  174.37
17 South                S     174.38  180.00  185.62
18 South by west        SbW   185.63  191.25  196.87
19 South-southwest      SSW   196.88  202.50  208.12
20 Southwest by south   SWbS  208.13  213.75  219.37
21 Southwest            SW    219.38  225.00  230.62
22 Southwest by west    SWbW  230.63  236.25  241.87
23 West-southwest       WSW   241.88  247.50  253.12
24 West by south        WbS   253.13  258.75  264.37
25 West                 W     264.38  270.00  275.62
26 West by north        WbN   275.63  281.25  286.87
27 West-northwest       WNW   286.88  292.50  298.12
28 Northwest by west    NWbW  298.13  303.75  309.37
29 Northwest            NW    309.38  315.00  320.62
30 Northwest by north   NWbN  320.63  326.25  331.87
31 North-northwest      NNW   331.88  337.50  343.12
32 North by west        NbW   343.13  348.75  354.37
```

Tcl

`proc angle2compass {angle} {    set dirs {	N NbE N-NE NEbN NE NEbE E-NE EbN E EbS E-SE SEbE SE SEbS S-SE SbE	S SbW S-SW SWbS SW SWbW W-SW WbS W WbN W-NW NWbW NW NWbN N-NW NbW    }    set unpack {N "north" E "east" W "west" S "south" b " by "}     # Compute the width of each compass segment    set sep [expr {360.0 / [llength \$dirs]}]     # Work out which segment contains the compass angle    set dir [expr {round((fmod(\$angle + \$sep/2, 360) - \$sep/2) / \$sep)}]     # Convert to a named direction, capitalized as in the wikipedia article    return [string totitle [string map \$unpack [lindex \$dirs \$dir]]]} # Box the compass, using the variable generation algorithm describedfor {set i 0} {\$i < 33} {incr i} {    set heading [expr {\$i * 11.25}]    if {\$i % 3 == 1} {set heading [expr {\$heading + 5.62}]}    if {\$i % 3 == 2} {set heading [expr {\$heading - 5.62}]}    set index [expr {\$i % 32 + 1}]     # Pretty-print the results of converting an angle to a compass heading    puts [format "%2i %-18s %7.2f°" \$index [angle2compass \$heading] \$heading]}`

Output:

``` 1 North                 0.00°
2 North by east        16.87°
3 North-northeast      16.88°
4 Northeast by north   33.75°
5 Northeast            50.62°
6 Northeast by east    50.63°
7 East-northeast       67.50°
8 East by north        84.37°
9 East                 84.38°
10 East by south       101.25°
11 East-southeast      118.12°
12 Southeast by east   118.13°
13 Southeast           135.00°
14 Southeast by south  151.87°
15 South-southeast     151.88°
16 South by east       168.75°
17 South               185.62°
18 South by west       185.63°
19 South-southwest     202.50°
20 Southwest by south  219.37°
21 Southwest           219.38°
22 Southwest by west   236.25°
23 West-southwest      253.12°
24 West by south       253.13°
25 West                270.00°
26 West by north       286.87°
27 West-northwest      286.88°
28 Northwest by west   303.75°
29 Northwest           320.62°
30 Northwest by north  320.63°
31 North-northwest     337.50°
32 North by west       354.37°
1 North               354.38°
```

uBasic/4tH

Translation of: C

Since uBasic is an integer interpreter, we have to do some scaling to perform this task.

`Push 0, 1687, 1688, 3375, 5062, 5063, 6750, 8437, 8438, 10125, 11812, 11813Push 13500, 15187, 15188, 16875, 18562, 18563, 20250, 21937, 21938, 23625Push 25312, 25313, 27000, 28687, 28688, 30375, 32062, 32063, 33750, 35437Push 35438                             ' Use the stack as a DATA statement For x = 32 To 0 Step -1                ' Now read the values, but reverse  @(x) = Pop()                         ' Since the last value is on topNext                                   ' of the data stack For x = 0 To 32                        ' Here comes the payload   j = ((@(x) * 32 / 3600) + 5) / 10    ' Scale by ten, then correct   Print Using "_#";(j % 32) + 1;"  ";  ' Print heading  GoSub 100 + ((j % 32) * 10)          ' Now get the compass point  Print Using "__#.##"; @(x)           ' Finally, print the angle                                       ' which is scaled by 100Next End                                       ' All compass points100 Print "North                 "; : Return110 Print "North by east         "; : Return120 Print "North-northeast       "; : Return130 Print "Northeast by north    "; : Return140 Print "Northeast             "; : Return150 Print "Northeast by east     "; : Return160 Print "East-northeast        "; : Return170 Print "East by north         "; : Return180 Print "East                  "; : Return190 Print "East by south         "; : Return200 Print "East-southeast        "; : Return210 Print "Southeast by east     "; : Return220 Print "Southeast             "; : Return230 Print "Southeast by south    "; : Return240 Print "South-southeast       "; : Return250 Print "South by east         "; : Return260 Print "South                 "; : Return270 Print "South by west         "; : Return280 Print "South-southwest       "; : Return290 Print "Southwest by south    "; : Return300 Print "Southwest             "; : Return310 Print "Southwest by west     "; : Return320 Print "West-southwest        "; : Return330 Print "West by south         "; : Return340 Print "West                  "; : Return350 Print "West by north         "; : Return360 Print "West-northwest        "; : Return370 Print "Northwest by west     "; : Return380 Print "Northwest             "; : Return390 Print "Northwest by north    "; : Return400 Print "North-northwest       "; : Return410 Print "North by west         "; : Return420 Print "North                 "; : Return`
Output:
``` 1  North                   0.00
2  North by east          16.87
3  North-northeast        16.88
4  Northeast by north     33.75
5  Northeast              50.62
6  Northeast by east      50.63
7  East-northeast         67.50
8  East by north          84.37
9  East                   84.38
10  East by south         101.25
11  East-southeast        118.12
12  Southeast by east     118.13
13  Southeast             135.00
14  Southeast by south    151.87
15  South-southeast       151.88
16  South by east         168.75
17  South                 185.62
18  South by west         185.63
19  South-southwest       202.50
20  Southwest by south    219.37
21  Southwest             219.38
22  Southwest by west     236.25
23  West-southwest        253.12
24  West by south         253.13
25  West                  270.00
26  West by north         286.87
27  West-northwest        286.88
28  Northwest by west     303.75
29  Northwest             320.62
30  Northwest by north    320.63
31  North-northwest       337.50
32  North by west         354.37
1  North                 354.38

0 OK, 0:900
```

UNIX Shell

Works with: Bourne Again SHell
Translation of: Logo

Requires the standard POSIX bc(1) and sed(1) commands to function.

`# List of abbreviated compass point labelscompass_points=( N NbE N-NE NEbN NE NEbE E-NE EbN                  E EbS E-SE SEbE SE SEbS S-SE SbE                  S SbW S-SW SWbS SW SWbW W-SW WbS                  W WbN W-NW NWbW NW NWbN N-NW NbW ) # List of angles to testtest_angles=(  0.00  16.87  16.88  33.75  50.62  50.63  67.50              84.37  84.38 101.25 118.12 118.13 135.00 151.87              151.88 168.75 185.62 185.63 202.50 219.37 219.38             236.25 253.12 253.13 270.00 286.87 286.88 303.75              320.62 320.63 337.50 354.37 354.38 )  # capitalize a stringfunction capitalize {  echo "\$1" | sed 's/^./\U&/'} # convert compass point abbreviation to full text of labelfunction expand_point {  local label="\$1"  set -- N north E east S south W west b " by "  while (( \$# )); do    label="\${label//\$1/\$2}"    shift 2  done  capitalize "\$label"} # modulus function that returns 1..N instead of 0..N-1function amod {  echo \$(( (\$1 - 1) % \$2 + 1 ))} # convert a compass angle from degrees into a box index (1..32)function compass_point {  #amod \$(dc <<<"\$1 5.625 + 11.25 / 1 + p") 32  amod \$(bc <<<"(\$1 + 5.625) / 11.25 + 1") 32} #  Now output the table of test dataheader_format="%-7s | %-18s | %s\n"row_format="%7.2f | %-18s | %2d\n"printf "\$header_format" "Degrees" "Closest Point" "Index"for angle in \${test_angles[@]}; do  let index=\$(compass_point \$angle)  abbr=\${compass_points[index-1]}  label="\$(expand_point \$abbr)"  printf "\$row_format" \$angle "\$label" \$indexdone`
Output:
```Degrees | Closest Point      | Index
0.00 | North              |  1
16.87 | North by east      |  2
16.88 | North-northeast    |  3
33.75 | Northeast by north |  4
50.62 | Northeast          |  5
50.63 | Northeast by east  |  6
67.50 | East-northeast     |  7
84.37 | East by north      |  8
84.38 | East               |  9
101.25 | East by south      | 10
118.12 | East-southeast     | 11
118.13 | Southeast by east  | 12
135.00 | Southeast          | 13
151.87 | Southeast by south | 14
151.88 | South-southeast    | 15
168.75 | South by east      | 16
185.62 | South              | 17
185.63 | South by west      | 18
202.50 | South-southwest    | 19
219.37 | Southwest by south | 20
219.38 | Southwest          | 21
236.25 | Southwest by west  | 22
253.12 | West-southwest     | 23
253.13 | West by south      | 24
270.00 | West               | 25
286.87 | West by north      | 26
286.88 | West-northwest     | 27
303.75 | Northwest by west  | 28
320.62 | Northwest          | 29
320.63 | Northwest by north | 30
337.50 | North-northwest    | 31
354.37 | North by west      | 32
354.38 | North              |  1
```

VBA

`Public Sub box_the_compass()    Dim compass_point As Integer    Dim compass_points_all As New Collection    Dim test_points_all As New Collection    Dim compass_points(8) As Variant    Dim test_points(3) As Variant    compass_points(1) = [{ "North",        "North by east",        "North-northeast",      "Northeast by north"}]    compass_points(2) = [{ "Northeast",    "Northeast by east",    "East-northeast",       "East by north"}]    compass_points(3) = [{ "East",         "East by south",        "East-southeast",       "Southeast by east"}]    compass_points(4) = [{ "Southeast",    "Southeast by south",   "South-southeast",      "South by east"}]    compass_points(5) = [{ "South",        "South by west",        "South-southwest",      "Southwest by south"}]    compass_points(6) = [{ "Southwest",    "Southwest by west",    "West-southwest",       "West by south"}]    compass_points(7) = [{ "West",         "West by north",        "West-northwest",       "Northwest by west"}]    compass_points(8) = [{ "Northwest",    "Northwest by north",   "North-northwest",      "North by west"}]    test_points(1) = [{ 0.0,  16.87,  16.88,  33.75,  50.62,  50.63,  67.5,   84.37,  84.38, 101.25, 118.12}]    test_points(2) = [{ 118.13, 135.0,  151.87, 151.88, 168.75, 185.62, 185.63, 202.5,  219.37, 219.38, 236.25}]    test_points(3) = [{ 253.12, 253.13, 270.0,  286.87, 286.88, 303.75, 320.62, 320.63, 337.5,  354.37, 354.38}]    For i = 1 To 3        For Each t In test_points(i)            test_points_all.Add t        Next t    Next i    For i = 1 To 8        For Each c In compass_points(i)            compass_points_all.Add c        Next c    Next i    For i = 1 To test_points_all.Count        compass_point = (WorksheetFunction.Floor(test_points_all(i) * 32 / 360 + 0.5, 1) Mod 32) + 1        Debug.Print Format(compass_point, "@@"); "  "; compass_points_all(compass_point);        Debug.Print String\$(20 - Len(compass_points_all(compass_point)), " ");        Debug.Print test_points_all(i)    Next iEnd Sub`
Output:
``` 1  North                0
2  North by east        16,87
3  North-northeast      16,88
4  Northeast by north   33,75
5  Northeast            50,62
6  Northeast by east    50,63
7  East-northeast       67,5
8  East by north        84,37
9  East                 84,38
10  East by south        101,25
11  East-southeast       118,12
12  Southeast by east    118,13
13  Southeast            135
14  Southeast by south   151,87
15  South-southeast      151,88
16  South by east        168,75
17  South                185,62
18  South by west        185,63
19  South-southwest      202,5
20  Southwest by south   219,37
21  Southwest            219,38
22  Southwest by west    236,25
23  West-southwest       253,12
24  West by south        253,13
25  West                 270
26  West by north        286,87
27  West-northwest       286,88
28  Northwest by west    303,75
29  Northwest            320,62
30  Northwest by north   320,63
31  North-northwest      337,5
32  North by west        354,37
1  North                354,38 ```

Visual Basic .NET

`Module BoxingTheCompass    Dim _points(32) As String     Sub Main()        BuildPoints()         Dim heading As Double = 0D         For i As Integer = 0 To 32            heading = i * 11.25            Select Case i Mod 3                Case 1                    heading += 5.62                Case 2                    heading -= 5.62            End Select             Console.WriteLine("{0,2}: {1,-18} {2,6:F2}°", (i Mod 32) + 1, InitialUpper(GetPoint(heading)), heading)        Next    End Sub     Private Sub BuildPoints()        Dim cardinal As String() = New String() {"north", "east", "south", "west"}        Dim pointDesc As String() = New String() {"1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1"}         Dim str1, str2, strC As String         For i As Integer = 0 To 3            str1 = cardinal(i)            str2 = cardinal((i + 1) Mod 4)            strC = IIf(str1 = "north" Or str1 = "south", str1 & str2, str2 & str1)            For j As Integer = 0 To 7                _points(i * 8 + j) = pointDesc(j).Replace("1", str1).Replace("2", str2).Replace("C", strC)            Next        Next    End Sub     Private Function InitialUpper(ByVal s As String) As String        Return s.Substring(0, 1).ToUpper() & s.Substring(1)    End Function     Private Function GetPoint(ByVal Degrees As Double) As String        Dim testD As Double = (Degrees / 11.25) + 0.5        Return _points(CInt(Math.Floor(testD Mod 32)))    End FunctionEnd Module `

Output:

``` 1: North                0.00°
2: North by east       16.87°
3: North-northeast     16.88°
4: Northeast by north  33.75°
5: Northeast           50.62°
6: Northeast by east   50.63°
7: East-northeast      67.50°
8: East by north       84.37°
9: East                84.38°
10: East by south      101.25°
11: East-southeast     118.12°
12: Southeast by east  118.13°
13: Southeast          135.00°
14: Southeast by south 151.87°
15: South-southeast    151.88°
16: South by east      168.75°
17: South              185.62°
18: South by west      185.63°
19: South-southwest    202.50°
20: Southwest by south 219.37°
21: Southwest          219.38°
22: Southwest by west  236.25°
23: West-southwest     253.12°
24: West by south      253.13°
25: West               270.00°
26: West by north      286.87°
27: West-northwest     286.88°
28: Northwest by west  303.75°
29: Northwest          320.62°
30: Northwest by north 320.63°
31: North-northwest    337.50°
32: North by west      354.37°
1: North              354.38°
```

Yabasic

Translation of: Liberty BASIC
` dim point\$(32) for i =1 to 32    read point\$(i)next i print "Index\tClosest Point\t\tDegrees"print "=====\t=============\t\t=======" for i = 0 to 32    heading = i *11.25    resto=mod(i,3)    if resto=1 then        heading = heading +5.62    elseif resto=2 then    	heading = heading -5.62    end if    ind = mod(i,32)+1    print ind,"\t",compasspoint\$( heading),"\t",headingnext i end sub compasspoint\$(h)    x = h / 11.25 + 1.5    if (x >= 33.0)  x = x - 32.0    return point\$(int(x))end sub 10 data  "North             ", "North by east     ", "North-northeast   "20 data  "Northeast by north", "Northeast         ", "Northeast by east ", "East-northeast    "30 data  "East by north     ", "East              ", "East by south     ", "East-southeast    "40 data  "Southeast by east ", "Southeast         ", "Southeast by south", "South-southeast   "50 data  "South by east     ", "South             ", "South by west     ", "South-southwest   "60 data  "Southwest by south", "Southwest         ", "Southwest by west ", "West-southwest    "70 data  "West by south     ", "West              ", "West by north     ", "West-northwest    "80 data  "Northwest by west ", "Northwest         ", "Northwest by north", "North-northwest   "90 data  "North by west     "`

zkl

Translation of: AWK
`A:=("X N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE "  // one based array        "SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW "        "WSW WbS W WbN WNW NWbW NW NWbN NNW NbW").split(" ");  fcn compassBox(d){    return(( ( (d + 360.0 / 64.0) % 360.0) * 32.0 / 360.0).ceil()); } foreach i in ([0..32]){   heading:=11.25*i;   switch(i%3){  // or heading+=5.62*((i+1).divr(3)[1]-1);      case(1){ heading+=5.62 }      case(2){ heading-=5.62 }   }   box:=compassBox(heading);   println("%6.2f\UB0; : %2d\t%s".fmt(heading,box,A[box]));}`
Output:
```  0.00 :  1	N
16.87 :  2	NbE
16.88 :  3	NNE
33.75 :  4	NEbN
50.62 :  5	NE
... same as AWK output
337.50 : 31	NNW
354.37 : 32	NbW
354.38 :  1	N
```

ZX Spectrum Basic

Translation of: Liberty BASIC
`10 DATA "North","North by east","North-northeast"20 DATA "Northeast by north","Northeast","Northeast by east","East-northeast"30 DATA "East by north","East","East by south","East-southeast"40 DATA "Southeast by east","Southeast","Southeast by south","South-southeast"50 DATA "South by east","South","South by west","South-southwest"60 DATA "Southwest by south","Southwest","Southwest by west","West-southwest"70 DATA "West by south","West","West by north","West-northwest"80 DATA "Northwest by west","Northwest","Northwest by north","North-northwest"90 DATA "North by west"100 DIM p\$(32,18)110 FOR i=1 TO 32120 READ p\$(i)130 NEXT i140 FOR i=0 TO 32150 LET h=i*11.25160 LET r=FN m(i,3)170 IF r=1 THEN LET h=h+5.62: GO TO 190180 IF r=2 THEN LET h=h-5.62190 LET ind=FN m(i,32)+1200 PRINT ind;TAB 4;210 LET x=h/11.25+1.5220 IF x>=33 THEN LET x=x-32230 PRINT p\$(INT x);TAB 25;h240 NEXT i250 STOP 260 DEF FN m(i,n)=((i/n)-INT (i/n))*n : REM modulus function `