# Box the compass

(Redirected from Boxing 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:
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 *= 2
V 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°
```

## Action!

Atari 8-bit computer is able to show up to 40 characters per row. Therefore abbreviations of direction have been used instead of the full names.

```INCLUDE "D2:PRINTF.ACT" ;from the Action! Tool Kit
INCLUDE "D2:REAL.ACT" ;from the Action! Tool Kit

DEFINE PTR="CARD"

PROC InitNames(PTR ARRAY names)
names(0)="N"    names(1)="NbE"
names(2)="NNE"  names(3)="NEbN"
names(4)="NE"   names(5)="NEbE"
names(6)="ENE"  names(7)="EbN"
names(8)="E"    names(9)="EbS"
names(10)="ESE" names(11)="SEbE"
names(12)="SE"  names(13)="SEbS"
names(14)="SSE" names(15)="SbE"
names(16)="S"   names(17)="SbW"
names(18)="SSW" names(19)="SWbS"
names(20)="SW"  names(21)="SWbW"
names(22)="WSW" names(23)="WbS"
names(24)="W"   names(25)="WbN"
names(26)="WNW" names(27)="NWbW"
names(28)="NW"  names(29)="NWbN"
names(30)="NNW" names(31)="NbW"
names(32)="N"
RETURN

PROC PrintIndex(BYTE i)
CHAR ARRAY s(5)

StrB(i,s)
PrintF("%2S",s)
RETURN

BYTE FUNC FindDot(CHAR ARRAY s)
BYTE i

FOR i=1 TO s(0)
DO
IF s(i)='. THEN
RETURN (i)
FI
OD
RETURN (0)

PROC PrintAngle(REAL POINTER a)
CHAR ARRAY s(10)
BYTE pos

StrR(a,s)
pos=FindDot(s)
IF pos=0 THEN
s(0)==+3
s(s(0)-2)='.
s(s(0)-1)='0
s(s(0)-0)='0
ELSEIF pos=s(0)-1 THEN
s(0)==+1
s(s(0)-0)='0
FI
PrintF("%6S",s)
RETURN

INT FUNC GetIndex(REAL POINTER a)
REAL r32,r360,r1,r2

IntToReal(32,r32)
IntToReal(360,r360)
RealMult(a,r32,r1)
RealDiv(r1,r360,r2)
RETURN (RealToInt(r2))

PROC Main()
DEFINE COUNT="33"
PTR ARRAY names(COUNT)
INT i,m,ind,x,y
REAL ri,r11_25,r5_62,rh,r1

Put(125) PutE() ;clear the screen
InitNames(names)
ValR("11.25",r11_25)
ValR("5.62",r5_62)
FOR i=0 TO 32
DO
IntToReal(i,ri)
RealMult(ri,r11_25,rh)
m=i MOD 3
IF m=1 THEN
RealAssign(r1,rh)
ELSEIF m=2 THEN
RealSub(rh,r5_62,r1)
RealAssign(r1,rh)
FI
ind=GetIndex(rh)

IF i<16 THEN
x=2 y=i+1
ELSE
x=20 y=i-15
FI
Position(x,y) PrintIndex(ind MOD (COUNT-1)+1)
x==+3
Position(x,y) Print(names(ind))
x==+5
Position(x,y) PrintAngle(rh)
OD
RETURN```
Output:
``` 1 N      0.00    17 S    185.62
2 NbE   16.87    18 SbW  185.63
3 NNE   16.88    19 SSW  202.50
4 NEbN  33.75    20 SWbS 219.37
5 NE    50.62    21 SW   219.38
6 NEbE  50.63    22 SWbW 236.25
7 ENE   67.50    23 WSW  253.12
8 EbN   84.37    24 WbS  253.13
9 E     84.38    25 W    270.00
10 EbS  101.25    26 WbN  286.87
11 ESE  118.12    27 WNW  286.88
12 SEbE 118.13    28 NWbW 303.75
13 SE   135.00    29 NW   320.62
14 SEbS 151.87    30 NWbN 320.63
15 SSE  151.88    31 NNW  337.50
16 SbE  168.75    32 NbW  354.37
1 N    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;
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"
if I <= 9 then
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");
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 #

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 #

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),
\$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

### Functional

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"

-- 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 -> String
on 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] -> Int
on maxLen(xs)
length of maximumBy(comparing(my |length|), xs)
end maxLen

-- alignRight :: Int -> String -> String
on alignRight(nWidth, x)
justifyRight(nWidth, space, x)
end alignRight

-- alignLeft :: Int -> String -> String
on alignLeft(nWidth, x)
justifyLeft(nWidth, space, x)
end alignLeft

-- show :: asString => a -> Text
on show(x)
x as string
end show

-- compassTable :: Int -> [Num] -> Maybe String
on compassTable(precision, xs)
if precision < 1 then
missing value
else
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 if
end 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 boxes
end 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 script
end comparing

-- cond :: Bool -> a -> a -> a
on cond(bool, f, g)
if bool then
f
else
g
end if
end cond

-- curry :: (Script|Handler) -> Script
on curry(f)
script
on |λ|(a)
script
on |λ|(b)
|λ|(a, b) of mReturn(f)
end |λ|
end script
end |λ|
end script
end curry

-- foldl :: (a -> b -> a) -> a -> [b] -> a
on foldl(f, startValue, xs)
tell mReturn(f)
set v to startValue
set lng to length of xs
repeat with i from 1 to lng
set v to |λ|(v, item i of xs, i, xs)
end repeat
return v
end tell
end foldl

-- intercalate :: Text -> [Text] -> Text
on 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 strJoined
end intercalate

-- justifyLeft :: Int -> Char -> Text -> Text
on justifyLeft(N, cFiller, strText)
if N > length of strText then
text 1 thru N of (strText & replicate(N, cFiller))
else
strText
end if
end justifyLeft

-- justifyRight :: Int -> Char -> Text -> Text
on justifyRight(N, cFiller, strText)
if N > length of strText then
text -N thru -1 of ((replicate(N, cFiller) as text) & strText)
else
strText
end if
end justifyRight

-- keyValue :: Record -> String -> Maybe String
on 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 if
end keyValue

-- length :: [a] -> Int
on |length|(xs)
length of xs
end |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 tell
end 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 -> Script
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end 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 & dbl
end 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 xs
end 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 -> String
on toLower(str)
set ca to current application
((ca's NSString's stringWithString:(str))'s ¬
lowercaseStringWithLocale:(ca's NSLocale's currentLocale())) as text
end toLower

-- toTitle :: String -> String
on toTitle(str)
set ca to current application
((ca's NSString's stringWithString:(str))'s ¬
capitalizedStringWithLocale:(ca's NSLocale's currentLocale())) as text
end toTitle

-- toUpper :: String -> String
on toUpper(str)
set ca to current application
((ca's NSString's stringWithString:(str))'s ¬
uppercaseStringWithLocale:(ca's NSLocale's currentLocale())) as text
end 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     ```

### Simpler alternative

```on degreesToCompassPoint(degrees)
set cardinals to {"north", "east", "south", "west"}
set idx to ((degrees / 11.25) as integer) mod 32
set qIdx to idx mod 8
if (qIdx = 0) then return cardinals's item (idx div 8 + 1)
set ns to cardinals's item (3 - (idx + 24) div 16 mod 2 * 2)
set ew to cardinals's item ((idx div 16 + 1) * 2)
if (idx mod 16 > 7) then set qIdx to 8 - qIdx
if (qIdx = 1) then return ns & " by " & ew
if (qIdx = 2) then return ns & "-" & ns & ew
if (qIdx = 3) then return ns & ew & " by " & ns
if (qIdx = 4) then return ns & ew
if (qIdx = 5) then return ns & ew & " by " & ew
if (qIdx = 6) then return ew & "-" & ns & ew
return ew & " by " & ns -- qIdx = 7.
end degreesToCompassPoint

on join(lst, delim)
set astid to AppleScript's text item delimiters
set AppleScript's text item delimiters to delim
set txt to lst as text
set AppleScript's text item delimiters to astid
return txt
end join

set output to {"", "Index  Compass point          Degrees"}
set inputs 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}
repeat with i from 1 to (count inputs)
set degrees to inputs's item i
set cpid to (degreesToCompassPoint(degrees))'s id
set cpid's first item to (cpid's beginning) mod 32 + 64
set compassPoint to string id cpid
set degrees to degrees as text
set entry to {text -2 thru -1 of (space & ((i - 1) mod 32 + 1)), ¬
text 1 thru 18 of (compassPoint & "              "), ¬
text (offset of "." in degrees) thru end of ("   " & degrees)}
set end of output to join(entry, "     ")
end repeat

join(output, linefeed)

```
Output:
```"
Index  Compass point          Degrees
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"
```

## 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]
{
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 -f
BEGIN {
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```

## BASIC

### BASIC256

```arraybase 1

dim 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"}

dim grados = {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}

j = int((grados[i] + 5.625) / 11.25)
if j > 31 then j -= 32
print rjust(string(j),2); " "; ljust(string(names\$[j+1]),20); grados[i]
next i```

### 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```

### Chipmunk Basic

Works with: Chipmunk Basic version 3.6.4
```100 dim names\$(31)
110 restore 300
120 for c = 0 to ubound(names\$)
140   names\$(c) = a\$
150 next c
160 dim degrees(32)
170 restore 380
180 for c = 0 to ubound(degrees)
200   degrees(c) = b
210 next c
220 for i = 0 to ubound(degrees)
230   j = int((degrees(i)+5.625)/11.25)
240   if j > 31 then j = j-32
250   print using "####.##";degrees(i);
260   print using "  ##  ";j;
270   print names\$(j)
280 next i
290 end
300 data "North","North by east","North-northeast","Northeast by north"
310 data "Northeast","Northeast by east","East-northeast","East by north"
320 data "East","East by south","East-southeast","Southeast by east"
330 data "Southeast","Southeast by south","South-southeast","South by east"
340 data "South","South by west","South-southwest","Southwest by south"
350 data "Southwest","Southwest by west","West-southwest","West by south"
360 data "West","West by north","West-northwest","Northwest by west","Northwest"
370 data "Northwest by north","North-northwest","North by west","North"
380 data 0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25
390 data 118.12,118.13,135,151.87,151.88,168.75,185.62,185.63,202.5,219.37
400 data 219.38,236.25,253.12,253.13,270,286.87,286.88,303.75,320.62,320.63
410 data 337.5,354.37,354.388
```
Output:
`Same as FreeBASIC entry.`

### GW-BASIC

Works with: PC-BASIC version any
Works with: BASICA
Works with: Chipmunk Basic
Works with: QBasic
Works with: MSX BASIC
```100 dim n\$(31)
110 restore 300
120 for c = 0 to 31
140   n\$(c) = a\$
150 next c
160 dim d(32)
170 restore 380
180 for c = 0 to 32
200   d(c) = b
210 next c
220 for i = 0 to 32
230   j = int((d(i)+5.625)/11.25)
240   if j > 31 then j = j-32
250   print using "####.##";d(i);
260   print using "  ##  ";j;
270   print n\$(j)
280 next i
290 end
300 data "North","North by east","North-northeast","Northeast by north"
310 data "Northeast","Northeast by east","East-northeast","East by north"
320 data "East","East by south","East-southeast","Southeast by east"
330 data "Southeast","Southeast by south","South-southeast","South by east"
340 data "South","South by west","South-southwest","Southwest by south"
350 data "Southwest","Southwest by west","West-southwest","West by south"
360 data "West","West by north","West-northwest","Northwest by west","Northwest"
370 data "Northwest by north","North-northwest","North by west","North"
380 data 0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25
390 data 118.12,118.13,135,151.87,151.88,168.75,185.62,185.63,202.5,219.37
400 data 219.38,236.25,253.12,253.13,270,286.87,286.88,303.75,320.62,320.63
410 data 337.5,354.37,354.38
```
Output:
`Same as FreeBASIC entry.`

### MSX Basic

Works with: MSX BASIC version any

The GW-BASIC solution works without any changes.

### Quite BASIC

Works with: BASICA
Works with: Chipmunk Basic
```100 array n\$
110 for c = 0 to 31
130   let n\$(c) = a\$
140 next c
150 array d
160 for c = 0 to 33
180   let d(c) = b
190 next c
200 for i = 1 to 33
210   let j = int((d(i)+5.625)/11.25)
220   if j > 31 then let j = j-32
230   print d(i);"  ";j;"  ";n\$(j)
240 next i
250 end
260 data "North","North by east","North-northeast","Northeast by north"
270 data "Northeast","Northeast by east","East-northeast","East by north"
280 data "East","East by south","East-southeast","Southeast by east"
290 data "Southeast","Southeast by south","South-southeast","South by east"
300 data "South","South by west","South-southwest","Southwest by south"
310 data "Southwest","Southwest by west","West-southwest","West by south"
320 data "West","West by north","West-northwest","Northwest by west","Northwest"
330 data "Northwest by north","North-northwest","North by west","North"
340 data 0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25
350 data 118.12,118.13,135,151.87,151.88,168.75,185.62,185.63,202.5,219.37
360 data 219.38,236.25,253.12,253.13,270,286.87,286.88,303.75,320.62,320.63
370 data 337.5,354.37,354.38
```
Output:
`Same as FreeBASIC entry.`

## Befunge

```>>::"}"9**\4+3%79*9*5-*79*9*5--+:5>>>06p:55+%68*+v
^_@#!`*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 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"};

{
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)

Console.WriteLine("\nPress any key to continue...");
}
}
}
```
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()
{
(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");

{
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
```

## Clojure

Translation of: Tcl
```(ns boxing-the-compass
(:use [clojure.string :only [capitalize]]))

(for [i (range 0 (inc 32))]
(case (mod i 3)

(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)
```

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
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,
}
}
```
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```

See Pascal.

## EasyLang

Translation of: Kotlin
```func\$ expand cp\$ .
for c\$ in strchars cp\$
if c\$ = "N"
r\$ &= "north"
elif c\$ = "E"
r\$ &= "east"
elif c\$ = "S"
r\$ &= "south"
elif c\$ = "W"
r\$ &= "west"
elif c\$ = "b"
r\$ &= "by"
else
r\$ &= "-"
.
.
h\$ = strchar (strcode substr r\$ 1 1 - 32)
return h\$ & substr r\$ 2 999
.
proc main . .
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" ]
print "Index  Degrees  Compass point"
print "-----  -------  -------------"
for i = 0 to 32
ind = (i + 1) mod1 32
if i mod 3 = 1
elif i mod 3 = 2
.
print ind & "\t" & heading & "\t" & expand cp\$[ind]
.
.
main
```

## Elixir

Translation of: Ruby
```defmodule Box 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
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)
end
end

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)+1
end function

sequence degrees
degrees = {}
for i = 0 to 32 do
degrees &= i*11.25 + 5.62*(remainder(i+1,3)-1)
end for

integer j
for 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°```

## Factor

```USING: formatting kernel math sequences ;

CONSTANT: 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 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
}

[
dup 32 * 360 /f 0.5 + >integer 32 mod [ 1 + ] [ box nth ] bi
"%6.2f°  %2d  %s\n" printf
] each
```
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
```

## Fortran

Works with: Fortran version 90 and later
```Program Compass
implicit none

integer :: i, ind

do i = 0, 32
if (mod(i, 3) == 1) then
else if (mod(i, 3) == 2) then
end if
ind = mod(i, 32) + 1
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 compasspoint
end 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 buffer
While Inkey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End
```
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 Short
Dim 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])
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"

func 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 points
var 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 ->
}
```

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 -> String
pointName = 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 -> Int
pointIndex d = (round (d * 1000) + 5625) `mod` 360000 `div` 11250

printPointName :: PrintfType t => String -> t
printPointName 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 {
}
}
end

procedure direction(d)  # compass heading given +/- degrees
static dirs
initial {
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)*18
120 FOR I=1 TO 33
140 NEXT
150 DO
160   READ IF MISSING EXIT DO:D
170   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 east
220 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,North
230 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 (toupper@{., }.)@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 <.@+ %&11.25
deg2pnt=: dirs {~ indice
```

Example use:

```   i.10
0 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.33
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
```

## Java

For this task, I used an enumeration to contain all 32-points of the compass.
The bounds and mid-points can then be derived using the `enum` ordinal value.

The `toString` method breaks down the enum name into characters, and replaces each with there corresponding written value.

```enum Compass {
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;

float midpoint() {
float midpoint = (360 / 32f) * ordinal();
return midpoint == 0 ? 360 : midpoint;
}

float[] bounds() {
float bound = (360 / 32f) / 2f;
float midpoint = midpoint();
float boundA = midpoint - bound;
float boundB = midpoint + bound;
if (boundB > 360) boundB -= 360;
return new float[] { boundA, boundB };
}

static Compass parse(float degrees) {
float[] bounds;
float[] boundsN = N.bounds();
for (Compass value : Compass.values()) {
bounds = value.bounds();
if (degrees >= boundsN[0] || degrees < boundsN[1])
return N;
if (degrees >= bounds[0] && degrees < bounds[1])
return value;
}
return null;
}

@Override
public String toString() {
String[] strings = new String[name().length()];
int index = 0;
for (char letter : name().toCharArray()) {
switch (letter) {
case 'N' -> strings[index] = "north";
case 'E' -> strings[index] = "east";
case 'S' -> strings[index] = "south";
case 'W' -> strings[index] = "west";
case 'b' -> strings[index] = "by";
}
index++;
}
String string
= strings[0].substring(0, 1).toUpperCase() +
strings[0].substring(1);
switch (strings.length) {
case 2 -> string += strings[1];
case 3 -> {
if (strings[1].equals("by")) {
string += " %s %s".formatted(strings[1], strings[2]);
} else {
string += "-%s%s".formatted(strings[1], strings[2]);
}
}
case 4 -> {
string += String.join(" ", strings[1], strings[2], strings[3]);
}
}
return string;
}
}
```
```0  North                 0.00
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       67.50
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           135.00
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     202.50
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                270.00
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     337.50
31 North by west       354.37
0  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');
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,
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 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) + '°'),
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  ```

## jq

Works with: jq

Also works with gojq, the Go implementation of jq, and with fq.

```# Input: the input heading given as a number in degrees.
# Output: the corresponding integer index (from 0 to 31 inclusive)
# into the table, compassPoint, of compass point names.
def cpx:
(((. / 11.25) + 0.5)|floor % 32)
| if . < 0 then . + 32
else .
end;

# Compass point names
def compassPoint: [
"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"
];

def degreesToCompassPoint:
compassPoint[cpx];

def r: [
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
];

def lpad(\$len): tostring | (\$len - length) as \$l | (" " * \$l)[:\$l] + .;

(r as \$r
| range(0; \$r|length)
| \$r[.] as \$h
| ((.%32) + 1) as \$index                  # index as per requirements
| (\$h | degreesToCompassPoint) as \$d
)```
Output:
```Index  Compass point        Heading
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°
```

## Julia

Works with: Julia version 1.2
Translation of: Python
```using Printf

function degree2compasspoint(d::Float64)
majors = ("north", "east", "south", "west", "north", "east", "south", "west")
quarter1 = ("N", "N by E", "N-NE", "NE by N", "NE", "NE by E", "E-NE", "E by N")
quarter2 = map(p -> replace(p, "NE" => "EN"), quarter1)

d = d % 360 + 360 / 64
imajor, minor = divrem(d, 90)
iminor = div(minor * 4, 45)
imajor += 1
iminor += 1
p1, p2 = majors[imajor:imajor+1]
q = p1 in ("north", "south") ? quarter1 : quarter2
titlecase(replace(replace(q[iminor], 'N' => p1), 'E' => p2))
end

for i in 0:32
d = i * 11.25
i % 3 == 1 && (d += 5.62)
i % 3 == 2 && (d -= 5.62)
@printf("%2i %-17s %10.2f°\n", i % 32 + 1, 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-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°```

## 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)),"  ",(-19\$cc@dd[x]),(6.2\$f@x))}'!#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                84.38
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
```

## 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) {
}
}
}
```
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
```

## langur

Translation of: D
```val 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"]

val 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]

writeln "index   degrees    compass point"
writeln "-----   -------    -------------"

for phi in angles {
val i = trunc(phi * 32 / 360 + 0.5) rem 32 + 1
writeln "{{i:5}}    {{phi:r2:6}}    {{box[i]}}"
}```
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
```

## Lasso

```define pointsarray() => {
local(points = array)
loop(-from=0,-to=32) => {
if(loop_count % 3 == 1) => {
else(loop_count % 3 == 2)
}
}
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```

## Liberty BASIC

```dim point\$( 32)

for i =1 to 32
next i

for i = 0 to 32
if ( i mod 3) =1 then
else
end if
ind = i mod 32 +1
next 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```

## 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 functions
declare 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 uwtable
define 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:
%7 = icmp slt i32 %6, 33                  ;-- i < 33
br i1 %7, label %loop_body, label %exit

loop_body:
%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]
%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

%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
%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)

%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 nounwind
declare 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 labels
make "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 test
make "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-sensitive
make "caseignoredp "false

; String utilities: search and replace
to replace_in :src :from :to
output map [ ifelse equalp ? :from [:to] [?] ] :src
end

output cascade [lessp :length count ?] [word ? "\ ] :string
end

; capitalize first letter
to capitalize :string
output word (uppercase first :string) butfirst :string
end

; convert compass point abbreviation to full text of label
to expand_point :abbr
foreach [[N north] [E east] [S south] [W west] [b \ by\ ]] [
make "abbr replace_in :abbr (first ?) (last ?)
]
output capitalize :abbr
end

; modulus function that returns 1..N instead of 0..N-1
output sum 1 modulo (difference :n 1) :d
end

; 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) 32
end

;  Now output the table of test data
print (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 exit
bye```

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 labels
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 test
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 }

-- capitalize a string
function capitalize(s)
return s:sub(1,1):upper() .. s:sub(2)
end

-- convert compass point abbreviation to full text of label
function 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-1
return 1 + (n - 1) % d
end

-- 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 data
header_format = "%-7s | %-18s | %s"
row_format = "%7.2f | %-18s | %2d"
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)
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
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]]], ToString@Part[#,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;

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;
BEGIN
WriteString("Index  Degrees  Compass point");
WriteLn;
WriteString("-----  -------  -------------");
WriteLn;
FOR i:=0 TO 32 DO
index := i MOD 32;
CASE i MOD 3 OF
ELSE
(* empty *)
END;
FormatString("%2i  ", buf, index+1);
WriteString(buf);
WriteString("   ");
expand(cp[index]);
WriteLn
END;

END 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
rosepoints = Rexx

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method RCBoxTheCompass() public

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

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

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */

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]
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) -
end h_

return table

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */

one_pt = 360 / 32
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

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */

hdg = ''
hdg[0] = 0
points = 32
loop i_ = 0 to points
heading = i_ * 360 / points

select case i_ // 3
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

if hmin < 0 then do
hmin = hmin + 360
end
if hmax >= 360 then do
hmax = hmax - 360
end

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) -
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 math, sequtils, strformat, strutils

const
"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 toCompassIndex(degree: float): 1..32 =
var degree = (degree + degreesPerHeading / 2).floorMod 360

for i in 0..32:
let
heading = float(i) * 11.25 + (case i mod 3
of 1: 5.62
of 2: -5.62
else: 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```

## 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;) {
select(i % 3) {
label 1: {
}

label 2: {
}
};

};
}

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

Call flush_queue
Do h_ = 1 to headings.0
End h_

Call display_sample
Say

Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
flush_queue:
Procedure
Do
Do q_ = 1 to queued()
Parse pull .
End q_
Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
display_sample:
Procedure Expose points. sign. (globs)
Do

Do q_ = 1 to queued()
Parse Value get_point(index) with p_abbrev p_full
Say index~right(3),
p_abbrev~left(4) p_full~left(20),
''
End q_

Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
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)')',
hmax~format(5, 3)    || sign.!DEG '('format_degrees_minutes_seconds(hmax)')',
''
End h_
Say

Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
Do
points = 32
Do i_ = 0 to points
heading = i_ * 360 / 32

it = i_ // 3
Select
When it = 1 then Do
End

When it = 2 then Do
End

Otherwise Do
End
End

index = (i_ // points) + 1
End i_

Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
get_index:
Procedure
Do

one_pt = 360 / 32
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 idx
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
get_point:
Procedure Expose points. sign. (globs)
Do
Parse arg index .

Call get_points

Return points.index points.index.!FULL
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
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'

Return
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
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 angle
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
format_decimal_angle:
Procedure Expose sign. (globs)
Do
Parse Arg degrees ., minutes ., seconds .

Return get_decimal_angle(degrees, minutes, seconds)~format(5, 3) || sign.!DEG
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
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 seconds
End
Exit

/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
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 formatted
End
Exit
```
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;

begin
for i := 0 to 32 do
begin
case (i mod 3) of
end;
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°
```

## Phix

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

```with javascript_semantics
function get225(integer d, string p1, string p2, string p4)
string 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 if
end 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 res
end 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 res
end function

constant compass_points = get90({"North","East","South","West"})

for i = 1 to 33 do
atom test_point = (i-1)*11.25 + 5.62*(remainder(i,3)-1)
integer 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, full standalone program) way works just as well, and produces the same output

```with javascript_semantics
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
```

## Picat

Translation of: Nim
```go =>
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"
],
foreach(I in 0..32)
J = I mod 32,
D = I * 11.25,
if I mod 3 == 1 then D := D + 5.62 end,
if I mod 3 == 2 then D := D - 5.62 end,
printf("%2d %-20s %6.2f\n", J+1, Names[J+1], D)
end,
nl.```
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```

## 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" ) ) ) )

(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
(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```

## 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),

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   0.0
2    North by east   16.87
3    North-northeast   16.88
4    Northeast by north   33.75
5    Northeast   50.62
6    Norteast 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
true.
```

## 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 data
NewMap dirSubst.s()
Define i, abbr.s, expansion.s
For i = 1 To 5
dirSubst(abbr) = expansion
Next

Dim dirs.s(32)
Define j, s.s
For j = 0 To 1
For i = 0 To 15
abbr.s = StringField(s, i + 1, " ")
dirs(j * 16 + i) = abbr
Next
Next

;expand abbreviated compass point and capitalize
Procedure.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 compass
If OpenConsole()

For i = 0 To 32
If i % 3 = 1
EndIf
If i % 3 = 2
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```

## Python

```majors   = 'north east south west'.split()
majors   *= 2 # no need for modulo later
quarter1 = '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°```

## QBasic

Works with: QBasic version 1.1
Works with: QuickBasic version 4.5
Translation of: Liberty BASIC
```DECLARE FUNCTION compasspoint\$ (h!)

DIM SHARED point\$(32)

FOR i = 1 TO 32
NEXT i

FOR i = 0 TO 32
IF (i MOD 3) = 1 THEN
ELSE
IF (i MOD 3) = 2 THEN heading = heading - 5.62
END IF
ind = i MOD 32 + 1
NEXT i
END

DATA  "North             ", "North by east     ", "North-northeast   ", "Northeast by north"
DATA  "Northeast         ", "Northeast by east ", "East-northeast    ", "East by north     "
DATA  "East              ", "East by south     ", "East-southeast    ", "Southeast by east "
DATA  "Southeast         ", "Southeast by south", "South-southeast   ", "South by east     "
DATA  "South             ", "South by west     ", "South-southwest   ", "Southwest by south"
DATA  "Southwest         ", "Southwest by west ", "West-southwest    ", "West by south     "
DATA  "West              ", "West by north     ", "West-northwest    ", "Northwest by west "
DATA  "Northwest         ", "Northwest by north", "North-northwest   ", "North by west     "

FUNCTION compasspoint\$ (h)
x = h / 11.25 + 1.5
IF (x >= 33!) THEN x = x - 32!
compasspoint\$ = point\$(INT(x))
END FUNCTION
```

## Quackery

`switch`, `case` and `otherwise` are define at Metaprogramming#Quackery.

```  [ tuck space swap of
join
swap split drop echo\$ ]             is lecho\$            ( \$ n -->   )

\$ "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"
nest\$
witheach
[ \$ "" swap
witheach
[ [ switch
char N case \$ "north"
char E case \$ "east"
char S case \$ "south"
char W case \$ "west"
char b case \$ " by "
otherwise   \$ "-" ]
join ]

[ 4 45 v* 1 2 v+ / 32 mod heading ]   is degrees->compass\$ ( n/d --> \$ )

\$ " 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"
nest\$
witheach
[ i^ 32 mod 1+
dup 10 < if sp
echo sp
dup \$->v drop
degrees->compass\$ 19 lecho\$
echo\$ cr ]```
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
```

## R

R (also known as Arrr me hearties!) is ideally suited to this task. Here's an easy to understand but inefficient way to solve it:

```# Build a table of directions
pts <- data.frame(
des = c("N", "NxE", "NNE", "NExN", "NE", "NExE", "ENE", "ExN",
"E", "ExS", "ESE", "SExE", "SE", "SExS", "SSE", "SxE",
"S", "SxW", "SSW", "SWxS", "SW", "SWxW", "WSW", "WxS",
"W", "WxN", "WNW", "NWxW", "NW", "NWxN", "NNW", "NxW",
"N")
)
pts\$deg <- seq(0, 360, 360/32)

res <- pts
# Calculate the absolute difference between each
# point on the table and the function input
res\$diff <- abs(res\$deg - deg)

# Sort the table by abs difference, return the first
res <- res[order(res\$diff), ]
res[1,]\$des[1]
})
```

Here are the test inputs:

```test <- data.frame(
deg = c(  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)
)

test
```

```all.equal(test\$heading, pts\$des)
```
Output:
```> test
1    0.00       N
2   16.87     NxE
3   16.88     NNE
4   33.75    NExN
5   50.62      NE
6   50.63    NExE
7   67.50     ENE
8   84.37     ExN
9   84.38       E
10 101.25     ExS
11 118.12     ESE
12 118.13    SExE
13 135.00      SE
14 151.87    SExS
15 151.88     SSE
16 168.75     SxE
17 185.62       S
18 185.63     SxW
19 202.50     SSW
20 219.37    SWxS
21 219.38      SW
22 236.25    SWxW
23 253.12     WSW
24 253.13     WxS
25 270.00       W
26 286.87     WxN
27 286.88     WNW
28 303.75    NWxW
29 320.62      NW
30 320.63    NWxN
31 337.50     NNW
32 354.37     NxW
33 354.38       N

[1] TRUE
```

## Racket

```#lang racket

;;; Generate the headings and boxes
(values (let ((heading (* i #e11.25)))
(case (modulo i 3)
(for/lists (h-lst i-lst) ((i (in-range 0 (add1 32))))

(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"))

(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 "---+--------+-------------------")
;; by coincidence, default value of the second argument to
;; real->decimal-string "decimal-digits" is 2,... just what we want!
(display-row box-number
(list-ref box-names (sub1 box-number)))))

(module+ test
(require rackunit)
```

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```

## Raku

(formerly 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```

## Red

```Red []

d:  charset [#"N"  #"E" #"S" #"W"]                                                ;; main directions
hm: #()                                                                           ;; hm = hashmap - key= heading, value = [box , compass point]

compass-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 N ]

expand: func [cp repl][                                                         ;; expand compass point to words
parse cp [ copy a thru d ahead 2 d insert "-" ]                               ;; insert "-" after first direction, if followed by 2 more
foreach [src dst ] repl  [ replace/all cp to-string src to-string dst ]       ;; N -> north ...
uppercase/part cp 1                                                           ;; convert first letter to uppercase
]

forall compass-points [
i: (index? compass-points) - 1                                                       ;; so i = 0..33
heading: i * 11.25 + either 1 = rem: i % 3  [ 5.62]                                  ;; rem = remainder
[ either  rem = 2 [-5.62] [0.0] ]
hm/:heading:  reduce [ (i % 32 + 1 ) expand to-string compass-points/1 [N north b " by " S south E east W west] ]
]
```

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
>>
```

## 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 degrees
If degrees='' Then
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
names='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'

nn=words(names)+1                 /* nn:  used for integer ÷ remainder */
dirs='north south east west'      /* define cardinal compass directions*/
/* choose a glyph for degree  (°).*/
If 4=='f4'x Then                     /* is this system an EBCDIC system*/
degsym='a1'x
Else
degsym='f8'x                       /* or degsym='a7'x                */
Say right('--------',30) copies('-',20)
pad=' '                           /* used to interject a blank for o   */
Do i=1 To words(degrees)
x=word(degrees,i)               /* obtain one of the degree headings */
End
Exit                              /* stick a fork in it, we're all done*/
/*---------------------------------------------------------------------*/
y=arg(1)//360
If y<0 Then
y=360-y                    /* normalize heading within unit circle */
/* n e s w are now replaced by north east south west, respectively   */
Do k=1 To words(dirs)
d=word(dirs,k)
z=changestr(left(d,1),z,d)
End
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
ok
next```

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
```

## RPL

Works with: Halcyon Calc version 4.2.9
RPL code Comment
```  ≪ { "north" "east" "south" "west" }
SWAP 8 / IP 1 + GET
LAST 1 + DUP 5 ≠ SWAP 1 IFTE GET
≫ 'I→QDT' STO

≪ → pattern a b
≪  "" 1 pattern SIZE FOR j
pattern j DUP SUB
DUP "X" == a ROT DUP "Y" == b ROT IFTE IFTE
+ NEXT
≫ ≫ 'FILLXY' STO

≪
11.25 / 0.5 + FLOOR 32 MOD
{ "X" "X by Y" "X-XY" "XY by X"
"XY" "XY by Y" "Y-XY" "Y by X" "Y" }
OVER 8 MOD 1 + GET SWAP I→QDT FILLXY
≫ '→HDG' STO

```
```I→QDT ( index → "wind1" "wind2" ) // index ∈ [0,31]
Get wind1
Get wind2

FILLXY ( "pattern" "a" "b" → "string" )
Initialize output string and loop
get jth character of pattern
replace "X" by "a" and "Y" by b

→HDG ( angle → "heading" ) // angle in degreees
Convert angle into compass index
Naming patterns

Get pattern, get winds and convert into heading

```

The demonstration has been limited to a few significant cases, due to the poor display capabilities of typical RPL devices (e.g. 4 x 22 characters on a HP-28S) :

```≪ { 0 16.87 16.88 33.75 50.62 354.37 354.38 } { } 1 3 PICK SIZE FOR j OVER j GET →HDG + NEXT SWAP DROP ≫ EVAL
```
Output:
```1: { "north" "north by east" "north-northeast" "northeast by north" "northeast" "north by west" "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}"]
end

i = degrees.quo(360).*(32).round.%(32).+(1)
end

# an array of angles, in degrees
angles = (0..32).map { |i| i * 11.25 + [0, 5.62, -5.62][i % 3] }

angles.each do |degrees|
printf "%2d %20s %6.2f\n", index, name.center(20), degrees
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
1        north         354.38```

## Run BASIC

```global direct\$
dim direct\$(22)
direct\$(1)  = "y"      'by
direct\$(4)  = "ast"    'East
direct\$(13) = "orth"   'North
direct\$(18) = "outh"   'Soutn
direct\$(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 i
html "</table>"
end

function compas\$(hd)
x = hd /11.25 + 1.5
if (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 i
end 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,
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 <&
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: Raku
```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 *```