Box the compass: Difference between revisions
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{{
There be many a [http://
They know not how to [[wp:Boxing the compass|box the compass]]!
;Task description:
# Create a function that takes a heading in degrees and returns the correct 32-point compass heading.
#
:<code>[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]</code>. (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:
<pre>for i in 0..32 inclusive:
Line 20:
end
index = ( i mod 32) + 1</pre>
* The column of indices can be thought of as an enumeration of the thirty two cardinal points (see [[Talk:Box the compass#Direction, index, and angle|talk page]])..
<br><br>
=={{header|11l}}==
{{trans|Python}}
<syntaxhighlight lang="11l">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))</syntaxhighlight>
{{out}}
<pre>
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°
</pre>
=={{header|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.
{{libheader|Action! Tool Kit}}
<syntaxhighlight lang="action!">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
RealAdd(rh,r5_62,r1)
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</syntaxhighlight>
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Box_the_compass.png Screenshot from Atari 8-bit computer]
<pre>
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
</pre>
=={{header|Ada}}==
Inspired by [[#C++|the C++ program]], but without the need for a specific library.
<syntaxhighlight lang="ada">with Ada.Text_IO;
procedure Box_The_Compass is
type Degrees is digits 5 range 0.00 .. 359.99;
type Index_Type is mod 32;
function Long_Name(Short: String) return String is
function Char_To_Name(Char: Character) return String is
begin
case Char is
when 'N' | 'n' => return Char & "orth";
when 'S' | 's' => return Char & "outh";
when 'E' | 'e' => return Char & "ast";
when 'W' | 'w' => return Char & "est";
when 'b' => return " by ";
when '-' => return "-";
when others => raise Constraint_Error;
end case;
end Char_To_Name;
begin
if Short'Length = 0 or else Short(Short'First)=' ' then
return "";
else
return Char_To_Name(Short(Short'First))
& Long_Name(Short(Short'First+1 .. Short'Last));
end if;
end Long_Name;
procedure Put_Line(Angle: Degrees) is
function Index(D: Degrees) return Index_Type is
begin
return Index_Type(Integer(Degrees'Rounding(D/11.25)) mod 32);
end Index;
I: Integer := Integer(Index(Angle))+1;
package DIO is new Ada.Text_IO.Float_IO(Degrees);
Abbr: constant array(Index_Type) of String(1 .. 4)
:= ("N ", "Nbe ", "N-ne", "Nebn", "Ne ", "Nebe", "E-ne", "Ebn ",
"E ", "Ebs ", "E-se", "Sebe", "Se ", "Sebs", "S-se", "Sbe ",
"S ", "Sbw ", "S-sw", "Swbs", "Sw ", "Swbw", "W-sw", "Wbs ",
"W ", "Wbn ", "W-nw", "Nwbw", "Nw ", "Nwbn", "N-nw", "Nbw ");
begin
DIO.Put(Angle, Fore => 3, Aft => 2, Exp => 0); -- format "zzx.xx"
Ada.Text_IO.Put(" |");
if I <= 9 then
Ada.Text_IO.Put(" ");
end if;
Ada.Text_IO.Put_Line(" " & Integer'Image(I) & " | "
& Long_Name(Abbr(Index(Angle))));
end Put_Line;
Difference: constant array(0..2) of Degrees'Base
:= (0=> 0.0, 1=> +5.62, 2=> - 5.62);
begin
Ada.Text_IO.Put_Line(" angle | box | compass point");
Ada.Text_IO.Put_Line(" ---------------------------------");
for I in 0 .. 32 loop
Put_Line(Degrees(Degrees'Base(I) * 11.25 + Difference(I mod 3)));
end loop;
end Box_The_Compass;</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|ALGOL 68}}==
{{works with|ALGOL 68|Revision 1 - no extensions to language used.}}
{{works with|ALGOL 68G|Any - tested with release [http://sourceforge.net/projects/algol68/files/algol68g/algol68g-1.18.0/algol68g-1.18.0-9h.tiny.el5.centos.fc11.i386.rpm/download 1.18.0-9h.tiny].}}
{{wont work with|ELLA ALGOL 68|Any (with appropriate job cards) - tested with release [http://sourceforge.net/projects/algol68/files/algol68toc/algol68toc-1.8.8d/algol68toc-1.8-8d.fc9.i386.rpm/download 1.8-8d] - due to extensive use of '''format'''[ted] ''transput''.}}
<syntaxhighlight lang="algol68">#!/usr/local/bin/a68g --script #
[]STRING
long by nesw = (" by ", "North", "East", "South", "West"),
short by nesw = ("b", "N", "E", "S", "W");
MODE MINUTES = REAL; # minutes type #
INT last minute=360*60;
INT point width=last minute OVER 32;
PROC direction name = (REAL direction in minutes, []STRING locale directions)STRING: (
STRING by = locale directions[1];
[]STRING nesw = locale directions[@-1];
PRIO MASK = 7; # same PRIOrity as * and / #
OP MASK = (INT n, BITS lower)INT: ABS (BIN n AND NOT lower),
DECAP = (STRING s)STRING: IF UPB s > 1 THEN REPR (ABS s[1]-ABS "A"+ABS "a")+s[2:] ELSE s FI;
PROC point name = (INT in point)STRING: (
INT point = in point MOD 32 # 32 points of a compass #;
IF point MOD 8 = 0 THEN
# name the principle point: eg. N, E, S or W #
nesw[point OVER 8]
ELIF point MOD 4 = 0 THEN
# name the half: eg. NE, SE, SW or NW #
point name((point+8)MASK 2r1111)+DECAP point name(point MASK 2r1111 + 8)
ELIF point MOD 2 = 0 THEN
# name the quarter: eg. N-NE, E-NE, E-SE, S-SE, S-SW, W-SW, W-NW or N-NW #
point name((point+4)MASK 2r111)+"-"+point name(point MASK 2r111 + 4)
ELSE # Name the sixteenth point: #
# eg. NbE,NEbN,NEbE,EbN,EbS,SEbE,SEbS,SbE,SbW,SWbS,SWbW,WbS,WbN,NWbW,NWbN,NbW #
INT opp point = point OVER 8 + ABS NOT ODD (point OVER 2);
point name((point+2)MASK 2r11)+ by +nesw(opp point MOD 4)
FI
);
point name(ROUND(direction in minutes/point width))
);
PROC traditional name = (MINUTES minutes)STRING: (
INT degrees = ROUND(minutes / 60);
degrees=0 |"Tramontana" |:
degrees=45 |"Greco or Bora" |:
degrees=90 |"Levante" |:
degrees=135|"Sirocco" |:
degrees=180|"Ostro" |:
degrees=225|"Libeccio" |:
degrees=270|"Poniente or Zephyrus"|:
degrees=315|"Mistral" |:
degrees=360|"Tramontana" |""
);
# First generate the test set results #
test:(
printf($"Test:"l$);
FOR i FROM 0 TO 32 DO
REAL heading = i * 11.25 +
CASE i MOD 3 IN
+5.62,
-5.62
OUT 0
ESAC;
INT index = ( i MOD 32) + 1;
printf(($zd" ", g23k, zzd.zzl$, index , direction name(heading*60, long by nesw), heading))
OD
);
table:(
OP OVER = (REAL r, INT base)INT: ENTIER ABS r OVER base,
MOD = (REAL r, INT base)REAL: ( INT i = ENTIER r; i MOD base + r - i);
printf(
$l"Table:"l
" #|Compass point"22k"|Abbr|Traditional wind point| Lowest°′ | Middle°′ | Highest°′"l$
);
OP DEGMIN = (REAL minutes)STRUCT(INT d, REAL m): (minutes MOD last minute OVER 60, minutes MOD 60);
FOR point FROM 1 TO 32 DO
REAL centre = (point-1) * point width;
REAL from = centre - point width/2,
to = centre + point width/2-1/120;
printf((
$g(-2)"|"$, point,
$g$, direction name(centre, long by nesw),
$22k"|"g$, direction name(centre, short by nesw),
$27k"|"g$, traditional name(centre),
$50k$, $"|"g(-3)"°", dd.dd"′"$, DEGMIN from, DEGMIN centre, DEGMIN to,
$l$
))
OD
)</syntaxhighlight>
Output:
<pre>
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′
</pre>
=={{header|AppleScript}}==
===Functional===
OS X Yosemite onwards (uses Foundation classes for record handling etc)
{{Trans|JavaScript}}
(ES6 version)
Functional composition, allowing for additional languages, and different numbers of compass points – see the test section)
<syntaxhighlight lang="applescript">use framework "Foundation"
use scripting additions
-- BOXING THE COMPASS --------------------------------------------------------
property plstLangs : [{|name|:"English"} & ¬
{expansions:{N:"north", S:"south", E:"east", W:"west", b:" by "}} & ¬
{|N|:"N", |NNNE|:"NbE", |NNE|:"N-NE", |NNENE|:"NEbN", |NE|:"NE", |NENEE|:"NEbE"} & ¬
{|NEE|:"E-NE", |NEEE|:"EbN", |E|:"E", |EEES|:"EbS", |EES|:"E-SE", |EESES|:"SEbE"} & ¬
{|ES|:"SE", |ESESS|:"SEbS", |ESS|:"S-SE", |ESSS|:"SbE", |S|:"S", |SSSW|:"SbW"} & ¬
{|SSW|:"S-SW", |SSWSW|:"SWbS", |SW|:"SW", |SWSWW|:"SWbW", |SWW|:"W-SW"} & ¬
{|SWWW|:"WbS", |W|:"W", |WWWN|:"WbN", |WWN|:"W-NW", |WWNWN|:"NWbW"} & ¬
{|WN|:"NW", |WNWNN|:"NWbN", |WNN|:"N-NW", |WNNN|:"NbW"}, ¬
¬
{|name|:"Chinese", |N|:"北", |NNNE|:"北微东", |NNE|:"东北偏北"} & ¬
{|NNENE|:"东北微北", |NE|:"东北", |NENEE|:"东北微东", |NEE|:"东北偏东"} & ¬
{|NEEE|:"东微北", |E|:"东", |EEES|:"东微南", |EES|:"东南偏东", |EESES|:"东南微东"} & ¬
{|ES|:"东南", |ESESS|:"东南微南", |ESS|:"东南偏南", |ESSS|:"南微东", |S|:"南"} & ¬
{|SSSW|:"南微西", |SSW|:"西南偏南", |SSWSW|:"西南微南", |SW|:"西南"} & ¬
{|SWSWW|:"西南微西", |SWW|:"西南偏西", |SWWW|:"西微南", |W|:"西"} & ¬
{|WWWN|:"西微北", |WWN|:"西北偏西", |WWNWN|:"西北微西", |WN|:"西北"} & ¬
{|WNWNN|:"西北微北", |WNN|:"西北偏北", |WNNN|:"北微西"}]
-- Scale invariant keys for points of the compass
-- (allows us to look up a translation for one scale of compass (32 here)
-- for use in another size of compass (8 or 16 points)
-- (Also semi-serviceable as more or less legible keys without translation)
-- compassKeys :: Int -> [String]
on compassKeys(intDepth)
-- Simplest compass divides into two hemispheres
-- with one peak of ambiguity to the left,
-- and one to the right (encoded by the commas in this list):
set urCompass to ["N", "S", "N"]
-- Necessity drives recursive subdivision of broader directions, shrinking
-- boxes down to a workable level of precision:
script subdivision
on |λ|(lstCompass, N)
if N ≤ 1 then
lstCompass
else
script subKeys
on |λ|(a, x, i, xs)
-- Borders between N and S engender E and W.
-- further subdivisions (boxes)
-- concatenate their two parent keys.
if i > 1 then
cond(N = intDepth, ¬
a & {cond(x = "N", "W", "E")} & x, ¬
a & {item (i - 1) of xs & x} & x)
else
a & x
end if
end |λ|
end script
|λ|(foldl(subKeys, {}, lstCompass), N - 1)
end if
end |λ|
end script
tell subdivision to items 1 thru -2 of |λ|(urCompass, intDepth)
end compassKeys
-- pointIndex :: Int -> Num -> 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 intPad to 2
set rightAligned to curry(alignRight)
set leftAligned to curry(alignLeft)
set join to curry(my intercalate)
-- INDEX COLUMN
set lstIndex to map(|λ|(precision) of curry(pointIndex), xs)
set lstStrIndex to map(show, lstIndex)
set nIndexWidth to maxLen(lstStrIndex)
set colIndex to map(|λ|(nIndexWidth + intPad) of rightAligned, lstStrIndex)
-- ANGLES COLUMN
script degreeFormat
on |λ|(x)
set {c, m} to splitOn(".", x as string)
c & "." & (text 1 thru 2 of (m & "0")) & "°"
end |λ|
end script
set lstAngles to map(degreeFormat, xs)
set nAngleWidth to maxLen(lstAngles) + intPad
set colAngles to map(|λ|(nAngleWidth) of rightAligned, lstAngles)
-- NAMES COLUMNS
script precisionNames
on |λ|(iBox)
pointNames(precision, iBox)
end |λ|
end script
set lstTrans to transpose(map(precisionNames, lstIndex))
set lstTransWidths to map(maxLen, lstTrans)
script spacedNames
on |λ|(lstLang, i)
map(|λ|((item i of lstTransWidths) + 2) of leftAligned, lstLang)
end |λ|
end script
set colsTrans to map(spacedNames, lstTrans)
-- TABLE
intercalate(linefeed, ¬
map(|λ|("") of join, ¬
transpose({colIndex} & {colAngles} & ¬
{replicate(length of lstIndex, " ")} & colsTrans)))
end 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</syntaxhighlight>
{{Out}}
<pre> 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 </pre>
----
===Simpler alternative===
<syntaxhighlight lang="applescript">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
on task()
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)
end task
task()</syntaxhighlight>
{{output}}
<syntaxhighlight lang="applescript">"
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"</syntaxhighlight>
=={{header|AutoHotkey}}==
{{trans|C++}}
{{works with|AutoHotkey_L}}
<syntaxhighlight lang="ahk">get_Index(angle){
return Mod(floor(angle / 11.25 +0.5), 32) + 1
}
get_Abbr_From_Index(i){
static points
:= [ "N", "NbE", "NNE", "NEbN", "NE", "NEbE", "ENE", "EbN"
,"E", "EbS", "ESE", "SEbE", "SE", "SEbS", "SSE", "SbE"
,"S", "SbW", "SSW", "SWbS", "SW", "SWbW", "WSW", "WbS"
,"W", "WbN", "WNW", "NWbW", "NW", "NWbN", "NNW", "NbW" ]
return points[i]
}
Build_Name_From_Abbr(a){
Loop Parse, a
{
i := A_Index
if ((i = 2) && (SubStr(a, i, 1) != "b") && (StrLen(a) == 3))
retval .= "-"
retval .= {N: "north", S: "south", E: "east"
, W: "west" , b: " by "}[A_LoopField]
}
return Chr(Asc(SubStr(retval, 1, 1))-32) . SubStr(retval, 2)
}
; test
headings:= [0.00, 16.87, 16.88, 33.75, 50.62, 50.63, 67.50, 84.37, 84.38, 101.25
, 118.12, 118.13, 135.00, 151.87, 151.88, 168.75, 185.62, 185.63
, 202.50, 219.37, 219.38, 236.25, 253.12, 253.13, 270.00, 286.87
, 286.88, 303.75, 320.62, 320.63, 337.50, 354.37, 354.38]
For n, a in headings
{
i := get_Index(a)
out .= SubStr(" " i, -1) " "
. SubStr(Build_Name_From_Abbr(get_Abbr_From_Index(i))
. " ", 1, 24) . SubStr(" " a, -5) . "`r`n" ;
}
clipboard := out</syntaxhighlight>
;Output
<pre> 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</pre>
=={{header|AutoIt}}==
<syntaxhighlight lang="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
</syntaxhighlight>
Output : <pre>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</pre>
=={{header|AWK}}==
<syntaxhighlight lang="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",$1,box,A[box];
}
</syntaxhighlight>
Output:
<pre> 0.00 : 1 N
16.87 : 2 NbE
16.88 : 3 NNE
33.75 : 4 NEbN
50.62 : 5 NE
50.63 : 6 NEbE
67.50 : 7 ENE
84.37 : 8 EbN
84.38 : 9 E
101.25 : 10 EbS
118.12 : 11 ESE
118.13 : 12 SEbE
135.00 : 13 SE
151.87 : 14 SEbS
151.88 : 15 SSE
168.75 : 16 SbE
185.62 : 17 S
185.63 : 18 SbW
202.50 : 19 SSW
219.37 : 20 SWbS
219.38 : 21 SW
236.25 : 22 SWbW
253.12 : 23 WSW
253.13 : 24 WbS
270.00 : 25 W
286.87 : 26 WbN
286.88 : 27 WNW
303.75 : 28 NWbW
320.62 : 29 NW
320.63 : 30 NWbN
337.50 : 31 NNW
354.37 : 32 NbW
354.38 : 1 N</pre>
=={{header|BASIC}}==
==={{header|BASIC256}}===
<syntaxhighlight lang="basic256">arraybase 1
dim names$ = {"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}
for i = grados[?,] to grados[?]
j = int((grados[i] + 5.625) / 11.25)
if j > 31 then j -= 32
print rjust(string(j),2); " "; ljust(string(names$[j+1]),20); grados[i]
next i</syntaxhighlight>
==={{header|BBC BASIC}}===
{{works with|BBC BASIC for Windows}}
<syntaxhighlight lang="bbcbasic"> DIM bearing(32)
bearing() = 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, \
\ 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, \
\ 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, \
\ 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38
FOR i% = 0 TO 32
box% = FNcompassbox(bearing(i%), compass$)
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$(pt% DIV 8)
</syntaxhighlight>
Output:
<pre>0 1 North
16.87 2 North by east
16.88 3 North-northeast
33.75 4 Northeast by north
50.62 5 Northeast
50.63 6 Northeast by east
67.5 7 East-northeast
84.37 8 East by north
84.38 9 East
101.25 10 East by south
118.12 11 East-southeast
118.13 12 Southeast by east
135 13 Southeast
151.87 14 Southeast by south
151.88 15 South-southeast
168.75 16 South by east
185.62 17 South
185.63 18 South by west
202.5 19 South-southwest
219.37 20 Southwest by south
219.38 21 Southwest
236.25 22 Southwest by west
253.12 23 West-southwest
253.13 24 West by south
270 25 West
286.87 26 West by north
286.88 27 West-northwest
303.75 28 Northwest by west
320.62 29 Northwest
320.63 30 Northwest by north
337.5 31 North-northwest
354.37 32 North by west
354.38 1 North</pre>
==={{header|Chipmunk Basic}}===
{{works with|Chipmunk Basic|3.6.4}}
<syntaxhighlight lang="qbasic">100 dim names$(31)
110 restore 300
120 for c = 0 to ubound(names$)
130 read a$
140 names$(c) = a$
150 next c
160 dim degrees(32)
170 restore 380
180 for c = 0 to ubound(degrees)
190 read b
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$(j)
280 next i
290 end
300 data "North","North by east","North-northeast","Northeast by north"
310 data "Northeast","Northeast by east","East-northeast","East by north"
320 data "East","East by south","East-southeast","Southeast by east"
330 data "Southeast","Southeast by south","South-southeast","South by east"
340 data "South","South by west","South-southwest","Southwest by south"
350 data "Southwest","Southwest by west","West-southwest","West by south"
360 data "West","West by north","West-northwest","Northwest by west","Northwest"
370 data "Northwest by north","North-northwest","North by west","North"
380 data 0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25
390 data 118.12,118.13,135,151.87,151.88,168.75,185.62,185.63,202.5,219.37
400 data 219.38,236.25,253.12,253.13,270,286.87,286.88,303.75,320.62,320.63
410 data 337.5,354.37,354.388</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|GW-BASIC}}===
{{works with|PC-BASIC|any}}
{{works with|BASICA}}
{{works with|Chipmunk Basic}}
{{works with|QBasic}}
{{works with|MSX BASIC}}
<syntaxhighlight lang="qbasic">100 dim n$(31)
110 restore 300
120 for c = 0 to 31
130 read a$
140 n$(c) = a$
150 next c
160 dim d(32)
170 restore 380
180 for c = 0 to 32
190 read b
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$(j)
280 next i
290 end
300 data "North","North by east","North-northeast","Northeast by north"
310 data "Northeast","Northeast by east","East-northeast","East by north"
320 data "East","East by south","East-southeast","Southeast by east"
330 data "Southeast","Southeast by south","South-southeast","South by east"
340 data "South","South by west","South-southwest","Southwest by south"
350 data "Southwest","Southwest by west","West-southwest","West by south"
360 data "West","West by north","West-northwest","Northwest by west","Northwest"
370 data "Northwest by north","North-northwest","North by west","North"
380 data 0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25
390 data 118.12,118.13,135,151.87,151.88,168.75,185.62,185.63,202.5,219.37
400 data 219.38,236.25,253.12,253.13,270,286.87,286.88,303.75,320.62,320.63
410 data 337.5,354.37,354.38</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|MSX Basic}}===
{{works with|MSX BASIC|any}}
The [[#GW-BASIC|GW-BASIC]] solution works without any changes.
==={{header|Quite BASIC}}===
{{works with|BASICA}}
{{works with|Chipmunk Basic}}
<syntaxhighlight lang="qbasic">100 array n$
110 for c = 0 to 31
120 read a$
130 let n$(c) = a$
140 next c
150 array d
160 for c = 0 to 33
170 read b
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</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
=={{header|Befunge}}==
<syntaxhighlight lang="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</syntaxhighlight>
{{output}}
<pre>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</pre>
=={{header|C}}==
Like [[wp:Box the compass|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.)
<syntaxhighlight lang="c">#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;
}</syntaxhighlight>Output:
<pre>
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
</pre>
=={{header|C sharp|C#}}==
<syntaxhighlight lang="csharp">
using System;
using System.Collections.Generic;
namespace BoxTheCompass
{
class Compass
{
string[] cp = new string[] {"North", "North by east", "North-northeast", "Northeast by north", "Northeast","Northeast by east",
"East-northeast", "East by north", "East", "East by south", "East-southeast", "Southeast by east", "Southeast",
"Southeast by south", "South-southeast", "South by east", "South", "South by west", "South-southwest", "Southwest by south",
"Southwest", "Southwest by west", "West-southwest", "West by south", "West", "West by north", "West-northwest",
"Northwest by west", "Northwest", "Northwest by north", "North-northwest", "North by west", "North"};
public void compassHeading(float a)
{
int h = Convert.ToInt32(Math.Floor(a / 11.25f + .5f)) % 32;
Console.WriteLine( "{0,2}: {1,-22} : {2,6:N}",h + 1, cp[h], a );
}
};
class Program
{
static void Main(string[] args)
{
Compass c = new Compass();
float[] degs = new float[] {0.0f, 16.87f, 16.88f, 33.75f, 50.62f, 50.63f, 67.5f, 84.37f, 84.38f, 101.25f,
118.12f, 118.13f, 135.0f, 151.87f, 151.88f, 168.75f, 185.62f, 185.63f, 202.5f, 219.37f, 219.38f, 236.25f,
253.12f, 253.13f, 270.0f, 286.87f, 286.88f, 303.75f, 320.62f, 320.63f, 337.5f, 354.37f, 354.38f};
foreach (float d in degs)
c.compassHeading(d);
Console.WriteLine("\nPress any key to continue...");
Console.ReadKey();
}
}
}
</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|C++}}==
Using the Boost libraries
{{libheader|Boost}}
<syntaxhighlight lang="cpp">#include <string>
#include <boost/array.hpp>
#include <boost/assign/list_of.hpp>
#include <boost/format.hpp>
#include <boost/foreach.hpp>
#include <iostream>
#include <math.h>
using std::string;
using namespace boost::assign;
int get_Index(float angle)
{
return static_cast<int>(floor(angle / 11.25 +0.5 )) % 32 + 1;
}
string get_Abbr_From_Index(int i)
{
static boost::array<std::string, 32> points(list_of
("N")("NbE")("NNE")("NEbN")("NE")("NEbE")("ENE")("EbN")
("E")("EbS")("ESE")("SEbE")("SE")("SEbS")("SSE")("SbE")
("S")("SbW")("SSW")("SWbS")("SW")("SWbW")("WSW")("WbS")
("W")("WbN")("WNW")("NWbW")("NW")("NWbN")("NNW")("NbW"));
return points[i-1];
}
string Build_Name_From_Abbreviation(string a)
{
string retval;
for (int i = 0; i < a.size(); ++i){
if ((1 == i) && (a[i] != 'b') && (a.size() == 3)) retval += "-";
switch (a[i]){
case 'N' : retval += "north"; break;
case 'S' : retval += "south"; break;
case 'E' : retval += "east"; break;
case 'W' : retval += "west"; break;
case 'b' : retval += " by "; break;
}
}
retval[0] = toupper(retval[0]);
return retval;
}
int main()
{
boost::array<float,33> headings(list_of
(0.0)(16.87)(16.88)(33.75)(50.62)(50.63)(67.5)(84.37)(84.38)(101.25)
(118.12)(118.13)(135.0)(151.87)(151.88)(168.75)(185.62)(185.63)(202.5)
(219.37)(219.38)(236.25)(253.12)(253.13)(270.0)(286.87)(286.88)(303.75)
(320.62)(320.63)(337.5)(354.37)(354.38));
int i;
boost::format f("%1$4d %2$-20s %3$_7.2f");
BOOST_FOREACH(float a, headings)
{
i = get_Index(a);
std::cout << f % i % Build_Name_From_Abbreviation(get_Abbr_From_Index(i)) % a << std::endl;
}
return 0;
}</syntaxhighlight>
Output:
<pre>
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
</pre>
=={{header|Clojure}}==
{{trans|Tcl}}
<syntaxhighlight lang="lisp">(ns boxing-the-compass
(:use [clojure.string :only [capitalize]]))
(def headings
(for [i (range 0 (inc 32))]
(let [heading (* i 11.25)]
(case (mod i 3)
1 (+ heading 5.62)
2 (- heading 5.62)
heading))))
(defn angle2compass
[angle]
(let [dirs ["N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"
"E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"
"S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"
"W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"]
unpack {\N "north" \E "east" \W "west" \S "south" \b " by " \- "-"}
sep (/ 360 (count dirs))
dir (int (/ (mod (+ angle (/ sep 2)) 360) sep))]
(capitalize (apply str (map unpack (dirs dir))))))
(print
(apply str (map-indexed #(format "%2s %-18s %7.2f\n"
(inc (mod %1 32)) (angle2compass %2) %2)
headings)))</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|COBOL}}==
Works with GnuCOBOL
<syntaxhighlight lang="cobol"> identification division.
program-id. box-compass.
data division.
working-storage section.
01 point pic 99.
01 degrees usage float-short.
01 degrees-rounded pic 999v99.
01 show-degrees pic zz9.99.
01 box pic z9.
01 fudge pic 9.
01 compass pic x(4).
01 compass-point pic x(18).
01 shortform pic x.
01 short-names.
05 short-name pic x(4) occurs 33 times.
01 overlay.
05 value "N " & "NbE " & "N-NE" & "NEbN" & "NE " &
"NEbE" & "E-NE" & "EbN " & "E " & "EbS " &
"E-SE" & "SEbE" & "SE " & "SEbS" & "S-SE" &
"SbE " & "S " & "SbW " & "S-SW" & "SWbS" &
"SW " & "SWbW" & "W-SW" & "WbS " & "W " &
"WbN " & "W-NW" & "NWbW" & "NW " & "NWbN" &
"N-NW" & "NbW " & "N ".
procedure division.
display "Index Compass point Degree"
move overlay to short-names.
perform varying point from 0 by 1 until point > 32
compute box = function mod(point 32) + 1
compute degrees = point * 11.25
compute fudge = function mod(point 3)
evaluate fudge
when equal 1
add 5.62 to degrees
when equal 2
subtract 5.62 from degrees
end-evaluate
compute degrees-rounded rounded = degrees
move degrees-rounded to show-degrees
inspect show-degrees replacing trailing '00' by '0 '
inspect show-degrees replacing trailing '50' by '5 '
move short-name(point + 1) to compass
move spaces to compass-point
display space box space space space with no advancing
perform varying tally from 1 by 1 until tally > 4
move compass(tally:1) to shortform
move function concatenate(function trim(compass-point),
function substitute(shortform,
"N", "North",
"E", "East",
"S", "South",
"W", "West",
"b", " byZ",
"-", "-"))
to compass-point
end-perform
move function substitute(compass-point, "Z", " ")
to compass-point
move function lower-case(compass-point) to compass-point
move function upper-case(compass-point(1:1))
to compass-point(1:1)
display compass-point space show-degrees
end-perform
goback.</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|D}}==
{{trans|Java}}
<syntaxhighlight lang="d">import std.stdio, std.string, std.math, std.array;
struct boxTheCompass {
immutable static string[32] points;
pure nothrow static this() {
immutable cardinal = ["north", "east", "south", "west"];
immutable desc = ["1", "1 by 2", "1-C", "C by 1", "C",
"C by 2", "2-C", "2 by 1"];
foreach (immutable i; 0 .. 4) {
immutable s1 = cardinal[i];
immutable s2 = cardinal[(i + 1) % 4];
immutable sc = (s1 == "north" || s1 == "south") ?
(s1 ~ s2) : (s2 ~ s1);
foreach (immutable j; 0 .. 8)
points[i * 8 + j] = desc[j].replace("1", s1).
replace("2", s2).replace("C", sc);
}
}
static string opCall(in double degrees) pure /*nothrow*/ {
immutable testD = (degrees / 11.25) + 0.5;
return points[cast(int)floor(testD % 32)].capitalize;
}
}
void main() {
foreach (immutable i; 0 .. 33) {
immutable heading = i * 11.25 + [0, 5.62, -5.62][i % 3];
writefln("%s\t%18s\t%s", i % 32 + 1,
heading.boxTheCompass, heading);
}
}</syntaxhighlight>
{{out}}
<pre>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</pre>
===Alternative version===
<syntaxhighlight lang="d">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);
}
}</syntaxhighlight>
{{out}}
<pre> 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</pre>
=={{header|Delphi}}==
See [https://rosettacode.org/wiki/Box_the_compass#Pascal Pascal].
=={{header|EasyLang}}==
{{trans|Kotlin}}
<syntaxhighlight>
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$[] = [ "N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN" "E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE" "S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS" "W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW" ]
print "Index Degrees Compass point"
print "----- ------- -------------"
for i = 0 to 32
ind = (i + 1) mod1 32
heading = i * 11.25
if i mod 3 = 1
heading += 5.62
elif i mod 3 = 2
heading -= 5.62
.
print ind & "\t" & heading & "\t" & expand cp$[ind]
.
.
main
</syntaxhighlight>
=={{header|Elixir}}==
{{trans|Ruby}}
<syntaxhighlight lang="elixir">defmodule Box do
defp head do
Enum.chunk(~w(north east south west north), 2, 1)
|> Enum.flat_map(fn [a,b] ->
c = if a=="north" or a=="south", do: "#{a}#{b}", else: "#{b}#{a}"
[ a, "#{a} by #{b}", "#{a}-#{c}", "#{c} by #{a}",
c, "#{c} by #{b}", "#{b}-#{c}", "#{b} by #{a}" ]
end)
|> Enum.with_index
|> Enum.map(fn {s, i} -> {i+1, String.capitalize(s)} end)
|> Map.new
end
def compass do
header = head()
angles = Enum.map(0..32, fn i -> i * 11.25 + elem({0, 5.62, -5.62}, rem(i, 3)) end)
Enum.each(angles, fn degrees ->
index = rem(round(32 * degrees / 360), 32) + 1
:io.format "~2w ~-20s ~6.2f~n", [index, header[index], degrees]
end)
end
end
Box.compass</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|Euphoria}}==
<syntaxhighlight lang="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</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|F_Sharp|F#}}==
{{trans|Perl}}
<syntaxhighlight lang="fsharp">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)</syntaxhighlight>
{{out}}
<pre> 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°</pre>
=={{header|Factor}}==
<syntaxhighlight lang="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</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|Fortran}}==
{{works with|Fortran|90 and later}}
<syntaxhighlight lang="fortran">Program Compass
implicit none
integer :: i, ind
real :: heading
do i = 0, 32
heading = i * 11.25
if (mod(i, 3) == 1) then
heading = heading + 5.62
else if (mod(i, 3) == 2) then
heading = heading - 5.62
end if
ind = mod(i, 32) + 1
write(*, "(i2, a20, f8.2)") ind, compasspoint(heading), heading
end do
contains
function compasspoint(h)
character(18) :: compasspoint
character(18) :: points(32) = (/ "North ", "North by east ", "North-northeast ", &
"Northeast by north", "Northeast ", "Northeast by east ", "East-northeast ", &
"East by north ", "East ", "East by south ", "East-southeast ", &
"Southeast by east ", "Southeast ", "Southeast by south", "South-southeast ", &
"South by east ", "South ", "South by west ", "South-southwest ", &
"Southwest by south", "Southwest ", "Southwest by west ", "West-southwest ", &
"West by south ", "West ", "West by north ", "West-northwest ", &
"Northwest by west ", "Northwest ", "Northwest by north", "North-northwest ", &
"North by west " /)
real, intent(in) :: h
real :: x
x = h / 11.25 + 1.5
if (x >= 33.0) x = x - 32.0
compasspoint = points(int(x))
end function compasspoint
end program Compass</syntaxhighlight>
Output:
<pre>
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</pre>
=={{header|FreeBASIC}}==
<syntaxhighlight lang="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</syntaxhighlight>
{{out}}
<pre> 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</pre>
=={{header|Gambas}}==
'''[https://gambas-playground.proko.eu/?gist=823a56ac094b8963cf11f792b381fbcc Click this link to run this code]'''
<syntaxhighlight lang="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])
sDirection &= cHeading[Mid(sHeading[fTemp], siLoop + 1, 1)] & " "
Next
Print "Index=" & Format(fTemp + 1, "#0") & " " & Format(Str(fCount), "##0.00") & " degrees = " & sDirection
sDirection = ""
Next
End</syntaxhighlight>
Output:
<pre>
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
</pre>
=={{header|Go}}==
<syntaxhighlight lang="go">package main
import "fmt"
// function required by task
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)
}
}</syntaxhighlight>
<pre>
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°
</pre>
=={{header|Groovy}}==
<syntaxhighlight lang="groovy">def asCompassPoint(angle) {
def cardinalDirections = ["north", "east", "south", "west"]
int index = Math.floor(angle / 11.25 + 0.5)
int cardinalIndex = (index / 8)
def c1 = cardinalDirections[cardinalIndex % 4]
def c2 = cardinalDirections[(cardinalIndex + 1) % 4]
def c3 = (cardinalIndex == 0 || cardinalIndex == 2) ? "$c1$c2" : "$c2$c1"
def point = [
"$c1", "$c1 by $c2", "$c1-$c3", "$c3 by $c1", "$c3", "$c3 by $c2", "$c2-$c3", "$c2 by $c1"
][index % 8]
point.substring(0, 1).toUpperCase() + point.substring(1)
}
Number.metaClass.asCompassPoint = { asCompassPoint(delegate) }
[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5,
354.37, 354.38].eachWithIndex { angle, index ->
println "${(index % 32) + 1}".padRight(3) + "${angle.asCompassPoint().padLeft(20)} $angle\u00b0"
}</syntaxhighlight>
Output:
<pre>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°</pre>
=={{header|Haskell}}==
<syntaxhighlight lang="haskell">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]</syntaxhighlight>
Output:
<pre> 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°</pre>
=={{header|Huginn}}==
<syntaxhighlight lang="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 ) ) );
}
}</syntaxhighlight>
Output:<pre> # | 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</pre>
=={{header|Icon}} and {{header|Unicon}}==
{{incomplete|Icon|354.38?}}
<syntaxhighlight lang="icon">link strings,numbers
procedure main()
every heading := 11.25 * (i := 0 to 32) do {
case i%3 of {
1: heading +:= 5.62
2: heading -:= 5.62
}
write(right(i+1,3)," ",left(direction(heading),20)," ",fix(heading,,7,2))
}
end
procedure direction(d) # compass heading given +/- 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</syntaxhighlight>
{{libheader|Icon Programming Library}}
[http://www.cs.arizona.edu/icon/library/procs/strings.htm strings for replacem]
[http://www.cs.arizona.edu/icon/library/procs/numbers.htm numbers for round, fix]
Output:<pre> 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</pre>
=={{header|IS-BASIC}}==
<syntaxhighlight lang="is-basic">100 PROGRAM "Compass.bas"
110 STRING DR$(1 TO 33)*18
120 FOR I=1 TO 33
130 READ DR$(I)
140 NEXT
150 DO
160 READ IF MISSING EXIT DO:D
170 LET DIR=COMP(D)
180 PRINT D;TAB(12);DIR,DR$(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</syntaxhighlight>
Output:<pre> 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</pre>
=={{header|J}}==
<
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=:
Example use:
<
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:
<
10 East by south
11 East-southeast
12 Southeast by east
13 Southeast
14 Southeast by south
15 South-southeast
16 South by east
17 South
18 South by west
19 South-southwest
20 Southwest by south
21 Southwest
22 Southwest by west
23 West-southwest
24 West by south
25 West
26 West by north
27 West-northwest
28 Northwest by west
29 Northwest
30 Northwest by north
31 North-northwest
32 North by west
=={{header|Java}}==
<p>
For this task, I used an <kbd>enumeration</kbd> to contain all 32-points of the compass.<br />
The bounds and mid-points can then be derived using the <code>enum</code> ordinal value.
</p>
<p>
The <code>toString</code> method breaks down the <kbd>enum</kbd> name into characters, and
replaces each with there corresponding written value.
</p>
<syntaxhighlight lang="java">
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[]
for (Compass value :
bounds =
if (degrees >= boundsN[0] || degrees <
return
if (degrees >= bounds[0]
return
}
return null;
}
@Override
String[]
int index = 0;
switch (letter) {
case 'W' -> strings[index] = "west";
}
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;
}
}
</syntaxhighlight>
<pre>
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
</pre>
=={{header|JavaScript}}==
===ES5===
An iterative, web-based approach:
<syntaxhighlight lang="javascript">function createRow(i, point, heading) {
var tr = document.createElement('tr'),
td;
td = document.createElement('td');
td.appendChild(document.createTextNode(i));
tr.appendChild(td);
td = document.createElement('td');
point = point.substr(0, 1).toUpperCase() + point.substr(1);
td.appendChild(document.createTextNode(point));
tr.appendChild(td);
td = document.createElement('td');
td.appendChild(document.createTextNode(heading));
tr.appendChild(td);
return tr;
}
function getPoint(i) {
var j = i % 8,
i = Math.floor(i / 8) % 4,
cardinal = ['north', 'east', 'south', 'west'],
pointDesc = ['1', '1 by 2', '1-C', 'C by 1', 'C', 'C by 2', '2-C', '2 by 1'],
str1, str2, strC;
str1 = cardinal[i];
str2 = cardinal[(i + 1) % 4];
strC = (str1 === 'north' || str1 === 'south') ? str1 + str2 : str2 + str1;
return pointDesc[j].replace('1', str1).replace('2', str2).replace('C', strC);
}
var i,
heading,
table = document.createElement('table'),
tbody = document.createElement('tbody'),
tr;
for (i = 0; i <= 32; i += 1) {
heading = i * 11.25 + [0, 5.62, -5.62][i % 3];
tr = createRow(i % 32 + 1, getPoint(i), heading + '°');
tbody.appendChild(tr);
}
table.appendChild(tbody);
document.body.appendChild(table);
</syntaxhighlight>
Output:
<pre>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°</pre>
===ES6===
Functional composition, allowing for additional languages (and different numbers of compass points)
<syntaxhighlight lang="javascript">(() => {
'use strict';
// GENERIC FUNCTIONS
// toTitle :: String -> String
let toTitle = s => s.length ? (s[0].toUpperCase() + s.slice(1)) : '';
// COMPASS DATA AND FUNCTIONS
// Scale invariant keys for points of the compass
// (allows us to look up a translation for one scale of compass (32 here)
// for use in another size of compass (8 or 16 points)
// (Also semi-serviceable as more or less legible keys without translation)
// compassKeys :: Int -> [String]
let compassKeys = depth => {
let urCompass = ['N', 'S', 'N'],
subdivision = (compass, n) => n <= 1 ? (
compass
) : subdivision( // Borders between N and S engender E and W.
// other new boxes concatenate their parent keys.
compass.reduce((a, x, i, xs) => {
if (i > 0) {
return (n === depth) ? (
a.concat([x === 'N' ? 'W' : 'E'], x)
) : a.concat([xs[i - 1] + x, x]);
} else return a.concat(x);
}, []),
n - 1
);
return subdivision(urCompass, depth)
.slice(0, -1);
};
// https://zh.wikipedia.org/wiki/%E7%BD%97%E7%9B%98%E6%96%B9%E4%BD%8D
let lstLangs = [{
'name': 'English',
expansions: {
N: 'north',
S: 'south',
E: 'east',
W: 'west',
b: ' by ',
'-': '-'
},
'N': 'N',
'NNNE': 'NbE',
'NNE': 'N-NE',
'NNENE': 'NEbN',
'NE': 'NE',
'NENEE': 'NEbE',
'NEE': 'E-NE',
'NEEE': 'EbN',
'E': 'E',
'EEES': 'EbS',
'EES': 'E-SE',
'EESES': 'SEbE',
'ES': 'SE',
'ESESS': 'SEbS',
'ESS': 'S-SE',
'ESSS': 'SbE',
'S': 'S',
'SSSW': 'SbW',
'SSW': 'S-SW',
'SSWSW': 'SWbS',
'SW': 'SW',
'SWSWW': 'SWbW',
'SWW': 'W-SW',
'SWWW': 'WbS',
'W': 'W',
'WWWN': 'WbN',
'WWN': 'W-NW',
'WWNWN': 'NWbW',
'WN': 'NW',
'WNWNN': 'NWbN',
'WNN': 'N-NW',
'WNNN': 'NbW'
}, {
'name': 'Chinese',
'N': '北',
'NNNE': '北微东',
'NNE': '东北偏北',
'NNENE': '东北微北',
'NE': '东北',
'NENEE': '东北微东',
'NEE': '东北偏东',
'NEEE': '东微北',
'E': '东',
'EEES': '东微南',
'EES': '东南偏东',
'EESES': '东南微东',
'ES': '东南',
'ESESS': '东南微南',
'ESS': '东南偏南',
'ESSS': '南微东',
'S': '南',
'SSSW': '南微西',
'SSW': '西南偏南',
'SSWSW': '西南微南',
'SW': '西南',
'SWSWW': '西南微西',
'SWW': '西南偏西',
'SWWW': '西微南',
'W': '西',
'WWWN': '西微北',
'WWN': '西北偏西',
'WWNWN': '西北微西',
'WN': '西北',
'WNWNN': '西北微北',
'WNN': '西北偏北',
'WNNN': '北微西'
}];
// pointIndex :: Int -> Num -> Int
let pointIndex = (power, degrees) => {
let nBoxes = (power ? Math.pow(2, power) : 32);
return Math.ceil(
(degrees + (360 / (nBoxes * 2))) % 360 * nBoxes / 360
) || 1;
};
// pointNames :: Int -> Int -> [String]
let pointNames = (precision, iBox) => {
let k = compassKeys(precision)[iBox - 1];
return lstLangs.map(dctLang => {
let s = dctLang[k] || k, // fallback to key if no translation
dctEx = dctLang.expansions;
return dctEx ? toTitle(s.split('')
.map(c => dctEx[c])
.join(precision > 5 ? ' ' : ''))
.replace(/ /g, ' ') : s;
});
};
// maximumBy :: (a -> a -> Ordering) -> [a] -> a
let maximumBy = (f, xs) =>
xs.reduce((a, x) => a === undefined ? x : (
f(x, a) > 0 ? x : a
), undefined);
// justifyLeft :: Int -> Char -> Text -> Text
let justifyLeft = (n, cFiller, strText) =>
n > strText.length ? (
(strText + replicate(n, cFiller)
.join(''))
.substr(0, n)
) : strText;
// justifyRight :: Int -> Char -> Text -> Text
let justifyRight = (n, cFiller, strText) =>
n > strText.length ? (
(replicate(n, cFiller)
.join('') + strText)
.slice(-n)
) : strText;
// replicate :: Int -> a -> [a]
let replicate = (n, a) => {
let v = [a],
o = [];
if (n < 1) return o;
while (n > 1) {
if (n & 1) o = o.concat(v);
n >>= 1;
v = v.concat(v);
}
return o.concat(v);
};
// transpose :: [[a]] -> [[a]]
let transpose = xs =>
xs[0].map((_, iCol) => xs.map((row) => row[iCol]));
// length :: [a] -> Int
// length :: Text -> Int
let length = xs => xs.length;
// compareByLength = (a, a) -> (-1 | 0 | 1)
let compareByLength = (a, b) => {
let [na, nb] = [a, b].map(length);
return na < nb ? -1 : na > nb ? 1 : 0;
};
// maxLen :: [String] -> Int
let maxLen = xs => maximumBy(compareByLength, xs)
.length;
// compassTable :: Int -> [Num] -> Maybe String
let compassTable = (precision, xs) => {
if (precision < 1) return undefined;
else {
let intPad = 2;
let lstIndex = xs.map(x => pointIndex(precision, x)),
lstStrIndex = lstIndex.map(x => x.toString()),
nIndexWidth = maxLen(lstStrIndex),
colIndex = lstStrIndex.map(
x => justifyRight(nIndexWidth, ' ', x)
);
let lstAngles = xs.map(x => x.toFixed(2) + '°'),
nAngleWidth = maxLen(lstAngles) + intPad,
colAngles = lstAngles.map(x => justifyRight(nAngleWidth, ' ', x));
let lstTrans = transpose(
lstIndex.map(i => pointNames(precision, i))
),
lstTransWidths = lstTrans.map(x => maxLen(x) + 2),
colsTrans = lstTrans
.map((lstLang, i) => lstLang
.map(x => justifyLeft(lstTransWidths[i], ' ', x))
);
return transpose([colIndex]
.concat([colAngles], [replicate(lstIndex.length, " ")])
.concat(colsTrans))
.map(x => x.join(''))
.join('\n');
}
}
// TEST
let xs = [0.0,
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
})();</syntaxhighlight>
{{Out}}
<pre> 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 </pre>
=={{header|jq}}==
{{works with|jq}}
'''Also works with gojq, the Go implementation of jq, and with fq.'''
'''Adapted from [[#Wren|Wren]]'''
<syntaxhighlight lang=jq>
# 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"
];
### The task
# Input: heading in degrees
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] + .;
"Index Compass point Heading",
(r as $r
| range(0; $r|length)
| $r[.] as $h
| ((.%32) + 1) as $index # index as per requirements
| ($h | degreesToCompassPoint) as $d
| "\($index|lpad(3)) \($d|lpad(20)) \($h)°"
)
</syntaxhighlight>
{{output}}
<pre>
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°
</pre>
=={{header|Julia}}==
{{works with|Julia|1.2}}
{{trans|Python}}
<syntaxhighlight lang="julia">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</syntaxhighlight>
{{out}}
<pre> 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°</pre>
=={{header|K}}==
The representation of the names was inspired by Tcl (etc.).
<syntaxhighlight lang="k"> 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]}</syntaxhighlight>
The table:
<syntaxhighlight lang="k"> `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</syntaxhighlight>
=={{header|Kotlin}}==
<syntaxhighlight lang="scala">// version 1.1.2
fun expand(cp: String): String {
val sb = StringBuilder()
for (c in cp) {
sb.append(when (c) {
'N' -> "north"
'E' -> "east"
'S' -> "south"
'W' -> "west"
'b' -> " by "
else -> "-"
})
}
return sb.toString().capitalize()
}
fun main(args: Array<String>) {
val cp = arrayOf(
"N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",
"E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",
"S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",
"W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"
)
println("Index Degrees Compass point")
println("----- ------- -------------")
val f = "%2d %6.2f %s"
for (i in 0..32) {
val index = i % 32
var heading = i * 11.25
when (i % 3) {
1 -> heading += 5.62
2 -> heading -= 5.62
}
println(f.format(index + 1, heading, expand(cp[index])))
}
}</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|langur}}==
{{trans|D}}
<syntaxhighlight lang="langur">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]}}"
}</syntaxhighlight>
{{out}}
<pre>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
</pre>
=={{header|Lasso}}==
<syntaxhighlight lang="lasso">define pointsarray() => {
local(points = array)
loop(-from=0,-to=32) => {
local(heading = loop_count * 11.25)
if(loop_count % 3 == 1) => {
#heading += 5.62
else(loop_count % 3 == 2)
#heading -= 5.62
}
#points->insert(#heading)
}
return #points
}
define compassShort => array(
'N','Nbe','N-ne','Nebn','Ne','Nebe','E-ne','Ebn',
'E','Ebs','E-se','Sebe','Se','Sebs','S-se','Sbe',
'S','Sbw','S-sw','Swbs','Sw','Swbw','W-sw','Wbs',
'W','Wbn','W-nw','Nwbw','Nw','Nwbn','N-nw','Nbw', 'N')
define compassLong(short::string) => {
local(o = string)
with i in #short->values do => { #o->append(compassLongProcessor(#i)) }
return #o
}
define compassLongProcessor(char::string) => {
#char == 'N' ? return #char + 'orth'
#char == 'S' ? return #char + 'outh'
#char == 'E' ? return #char + 'ast'
#char == 'W' ? return #char + 'est'
#char == 'b' ? return ' by '
#char == '-' ? return '-'
}
// test output points as decimals
//pointsarray
// test output the array of text values
//compassShort
// test output the long names of the text values
//with s in compassShort do => {^ compassLong(#s) + '\r' ^}
'angle | box | compass point
---------------------------------
'
local(counter = 0)
with p in pointsarray do => {^
local(pformatted = #p->asString(-precision=2))
while(#pformatted->size < 6) => { #pformatted->append(' ') }
#counter += 1
#counter > 32 ? #counter = 1
#pformatted + ' | ' + (#counter < 10 ? ' ') + #counter + ' | ' + compassLong(compassShort->get(#counter)) + '\r'
^}</syntaxhighlight>
{{out}}
<pre>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</pre>
=={{header|Liberty BASIC}}==
<syntaxhighlight lang="lb">dim point$( 32)
for i =1 to 32
read d$: point$( i) =d$
next i
for i = 0 to 32
heading = i *11.25
if ( i mod 3) =1 then
heading = heading +5.62
else
if ( i mod 3) =2 then heading = heading -5.62
end if
ind = i mod 32 +1
print ind, compasspoint$( heading), heading
next i
end
function compasspoint$( 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</syntaxhighlight>
Output:
<pre>1
2
3
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</pre>
=={{header|LLVM}}==
{{trans|C}}
<syntaxhighlight lang="llvm">; 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:
%6 = load i32, i32* %1, align 4 ;-- load i
%7 = icmp slt i32 %6, 33 ;-- i < 33
br i1 %7, label %loop_body, label %exit
loop_body:
%8 = load i32, i32* %1, align 4 ;-- load i
%9 = sext i32 %8 to i64 ;-- sign extend i
%10 = getelementptr inbounds [33 x double], [33 x double]* %3, i64 0, i64 %9 ;-- calculate index of degrees[i]
%11 = load double, double* %10, align 8 ;-- load degrees[i]
%12 = fmul double %11, 3.200000e+01 ;-- degrees[i] * 32
%13 = fdiv double %12, 3.600000e+02 ;-- degrees[i] * 32 / 360.0
%14 = fadd double 5.000000e-01, %13 ;-- 0.5 + degrees[i] * 32 / 360.0
%15 = fptosi double %14 to i32 ;-- convert floating point to integer
store i32 %15, i32* %2, align 4 ;-- write result to j
%16 = load i8*, i8** %4, align 8 ;-- load names
%17 = load i32, i32* %2, align 4 ;-- load j
%18 = srem i32 %17, 32 ;-- j % 32
%19 = mul nsw i32 %18, 22 ;-- (j % 32) * 22
%20 = sext i32 %19 to i64 ;-- sign extend the result
%21 = getelementptr inbounds i8, i8* %16, i64 %20 ;-- load names at the calculated offset
%22 = load i32, i32* %2, align 4 ;-- load j
%23 = srem i32 %22, 32 ;-- j % 32
%24 = add nsw i32 %23, 1 ;-- (j % 32) + 1
%25 = call i32 (i8*, ...) @printf(i8* getelementptr inbounds ([19 x i8], [19 x i8]* @"OUTPUT_STR", i32 0, i32 0), i32 %24, i8* %21, double %11)
%26 = load i32, i32* %1, align 4 ;-- load i
%27 = add nsw i32 %26, 1 ;-- increment i
store i32 %27, i32* %1, align 4 ;-- store i
br label %loop
exit:
ret i32 0
}
; Function Attrs: argmemonly 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 }</syntaxhighlight>
{{out}}
<pre> 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</pre>
=={{header|Logo}}==
<syntaxhighlight lang="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
; pad with spaces
to pad :string :length
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
to adjusted_modulo :n :d
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
</syntaxhighlight>
Output:
<pre>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</pre>
=={{header|Lua}}==
{{trans|Logo}}
<syntaxhighlight lang="lua">-- 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
function adjusted_modulo(n, d)
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"
print(header_format:format("Degrees", "Closest Point", "Index"))
for i, angle in ipairs(test_angles) do
index = compass_point(angle)
abbr = compass_points[index]
label = expand_point(abbr)
print(row_format:format(angle, label, index))
end</syntaxhighlight>
Output:
<pre>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</pre>
=={{header|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.
<syntaxhighlight lang="m2000 interpreter">
Module CheckIt {
Locale 1033 'change decimal point char to dot.
Form 80,50 ' set console to 80 characters by 50 lines
\\ Function heading() get a positive double as degrees and return the compass index (1 for North)
Function heading(d) {
d1=d div 11.25
if d1 mod 3= 1 then d+=5.62 :d1=d div 11.25
=d1 mod 32 +1
}
Dim wind$(1 to 32)
wind$(1)="North", "North by east", "North-northeast", "Northeast by north", "Northeast"
wind$(6)="Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast"
wind$(12)="Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South"
wind$(18)="South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest"
wind$(24)="West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north"
wind$(31)="North-northwest", "North by west"
oldvalue=-2
newvalue=2
Print " angle | box | compass point"
Print "-------+-----+---------------------"
For i=0 to 360 step 0.005
newvalue=heading(i)
if (newvalue mod 3) =2 then i+=5.62: newvalue=heading(i)
if oldvalue<>newvalue then Print format$("{0:2:-6}°| {1::-2} | {2}",i, newvalue, wind$(newvalue)) : oldvalue=newvalue : refresh
Next i
}
CheckIt
</syntaxhighlight>
{{out}}
<pre style="height:30ex;overflow:scroll">
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
</pre >
=={{header|Mathematica}} / {{header|Wolfram Language}}==
<syntaxhighlight lang="mathematica">Map[List[Part[#,1], dirs[[Part[#,1]]], ToString@Part[#,2]<>"°"]&,
Map[{Floor[Mod[ #+5.625 , 360]/11.25]+1,#}&,input] ]//TableForm</syntaxhighlight>
<pre>1 North 0.°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5
6
7
8
9
10
11
12
13
14 Southeast by south 151.87°
15
16
17
18
19
20 Southwest by south 219.37°
21
22
23
24
25
26
27
28
29
30 Northwest by north 320.63°
31
32
1
=={{header|MATLAB}} / {{header|Octave}}==
<syntaxhighlight lang="matlab">function b = compassbox(d)
b = ceil(mod(d+360/64,360)*32/360);
end; </syntaxhighlight>
Output:
<pre>>> 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</pre>
=={{header|Modula-2}}==
<syntaxhighlight lang="modula2">MODULE BoxTheCompass;
FROM FormatString IMPORT FormatString;
FROM RealStr IMPORT RealToStr;
FROM Terminal IMPORT WriteString,WriteLn,Write,ReadChar;
PROCEDURE expand(cp : ARRAY OF CHAR);
VAR i : INTEGER = 0;
BEGIN
WHILE cp[i] # 0C DO
IF i=0 THEN
CASE cp[i] OF
'N': WriteString("North") |
'E': WriteString("East") |
'S': WriteString("South") |
'W': WriteString("West") |
'b': WriteString(" by ")
ELSE
WriteString("-");
END;
ELSE
CASE cp[i] OF
'N': WriteString("north") |
'E': WriteString("east") |
'S': WriteString("south") |
'W': WriteString("west") |
'b': WriteString(" by ")
ELSE
WriteString("-");
END;
END;
INC(i)
END;
END expand;
PROCEDURE FormatReal(r : REAL);
VAR
buf : ARRAY[0..63] OF CHAR;
u,v : INTEGER;
w : REAL;
BEGIN
u := TRUNC(r);
w := r - FLOAT(u);
v := TRUNC(100.0 * w);
FormatString("%6i.%'02i", buf, u, v);
WriteString(buf);
END FormatReal;
VAR
cp : ARRAY[0..31] OF ARRAY[0..4] OF CHAR = {
"N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",
"E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",
"S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",
"W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"
};
buf : ARRAY[0..63] OF CHAR;
i,index : INTEGER;
heading : REAL;
BEGIN
WriteString("Index Degrees Compass point");
WriteLn;
WriteString("----- ------- -------------");
WriteLn;
FOR i:=0 TO 32 DO
index := i MOD 32;
heading := FLOAT(i) * 11.25;
CASE i MOD 3 OF
1: heading := heading + 5.62; |
2: heading := heading - 5.62;
ELSE
(* empty *)
END;
FormatString("%2i ", buf, index+1);
WriteString(buf);
FormatReal(heading);
WriteString(" ");
expand(cp[index]);
WriteLn
END;
ReadChar
END BoxTheCompass.</syntaxhighlight>
=={{header|MUMPS}}==
The TCL implementation was the starting point, but this isn't an exact translation.
<
;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"
Line 202 ⟶ 4,554:
. WRITE $PIECE(X,"^"),?5,DIR,?40,$JUSTIFY($PIECE(POINTS,",",P),10,2),!
KILL POINTS,UP,LO,DIR,P,X
QUIT</
<p>Output:<pre>
Debugger executing 'BOXWRITE^COMPASS'
Line 238 ⟶ 4,590:
32 North by west 354.37
1 North 354.38</pre></p>
=={{header|NetRexx}}==
<syntaxhighlight lang="netrexx">/* NetRexx */
options replace format comments java crossref savelog symbols nobinary utf8
class RCBoxTheCompass
properties public constant
_FULL = '_FULL'
properties indirect
headings = Rexx
rosepoints = Rexx
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method RCBoxTheCompass() public
setHeadings(makeHeadings)
setRosepoints(makeRosepoints)
return
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method main(args = String[]) public static
box = RCBoxTheCompass()
cp = box.getCompassPoints
loop r_ = 1 to cp[0]
say cp[r_]
end r_
say
hx = box.getHeadingsReport(box.getHeadings)
loop r_ = 1 to hx[0]
say hx[r_]
end r_
say
return
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getDecimalAngle(degrees, minutes, seconds) public static returns Rexx
degrees = degrees * 10 % 10
minutes = minutes * 10 % 10
angle = degrees + (minutes / 60 + (seconds / 60 / 60))
return angle
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getDegreesMinutesSeconds(angle) public static returns Rexx
degrees = angle * 100 % 100
minutes = ((angle - degrees) * 60) * 100 % 100
seconds = ((((angle - degrees) * 60) - minutes) * 60) * 100 % 100
return degrees minutes seconds
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getHeadingsReport(bearings) public returns Rexx
r_ = 0
table = ''
r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' -
'Abbr' -
'Compass Point'.left(20) -
'Degrees'.right(10)
loop h_ = 1 to bearings[0]
heading = bearings[h_]
index = getRosepointIndex(heading)
parse getRosepoint(index) p_abbrev p_full
r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) -
p_abbrev.left(4) -
p_full.left(20) -
heading.format(6, 3).right(10)
end h_
return table
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getRosepointIndex(heading) public returns Rexx
one_pt = 360 / 32
hn = heading // 360
hi = hn % one_pt
if hn > hi * one_pt + one_pt / 2 then do
hi = hi + 1 -- greater than max range for this point; bump to next point
end
idx = hi // 32 + 1 -- add one to get index into rosepoints indexed string
return idx
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getRosepoint(index) public returns Rexx
rp = getRosepoints
return rp[index] rp[index, _FULL]
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method makeRosepoints() private returns Rexx
p_ = 0
rp = ''
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'N'; rp[p_, _FULL] = 'North'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbE'; rp[p_, _FULL] = 'North by East'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNE'; rp[p_, _FULL] = 'North-Northeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbn'; rp[p_, _FULL] = 'Northeast by North'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NE'; rp[p_, _FULL] = 'Northeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbE'; rp[p_, _FULL] = 'Northeast by East'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ENE'; rp[p_, _FULL] = 'East-Northeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbN'; rp[p_, _FULL] = 'East by North'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'E'; rp[p_, _FULL] = 'East'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbS'; rp[p_, _FULL] = 'East by South'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ESE'; rp[p_, _FULL] = 'East-Southeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbE'; rp[p_, _FULL] = 'Southeast by East'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SE'; rp[p_, _FULL] = 'Southeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbS'; rp[p_, _FULL] = 'Southeast by South'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSE'; rp[p_, _FULL] = 'South-Southeast'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbE'; rp[p_, _FULL] = 'South by East'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'S'; rp[p_, _FULL] = 'South'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbW'; rp[p_, _FULL] = 'South by West'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSW'; rp[p_, _FULL] = 'South-Southwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbS'; rp[p_, _FULL] = 'Southwest by South'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SW'; rp[p_, _FULL] = 'Southwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbW'; rp[p_, _FULL] = 'Southwest by West'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WSW'; rp[p_, _FULL] = 'Southwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbS'; rp[p_, _FULL] = 'West by South'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'W'; rp[p_, _FULL] = 'West'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbN'; rp[p_, _FULL] = 'West by North'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WNW'; rp[p_, _FULL] = 'West-Northwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbW'; rp[p_, _FULL] = 'Northwest by West'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NW'; rp[p_, _FULL] = 'Northwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbN'; rp[p_, _FULL] = 'Northwest by North'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNW'; rp[p_, _FULL] = 'North-Northwest'
p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbW'; rp[p_, _FULL] = 'North by West'
return rp
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method makeHeadings() private returns Rexx
hdg = ''
hdg[0] = 0
points = 32
loop i_ = 0 to points
heading = i_ * 360 / points
select case i_ // 3
when 1 then heading_h = heading + 5.62
when 2 then heading_h = heading - 5.62
otherwise heading_h = heading
end
ix = hdg[0] + 1; hdg[0] = ix; hdg[ix] = heading_h
end i_
return hdg
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
method getCompassPoints() public returns Rexx
r_ = 0
table = ''
r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' -
'Abbr' -
'Compass Point'.left(20) -
'Low (Deg.)'.right(10) -
'Mid (Deg.)'.right(10) -
'Hi (Deg.)'.right(10)
-- one point of the compass is 360 / 32 (11.25) degrees
-- using functions to calculate this just for fun
one_pt = 360 / 32
parse getDegreesMinutesSeconds(one_pt / 2) ad am as .
points = 32
loop h_ = 0 to points - 1
heading = h_ * 360 / points
hmin = heading - getDecimalAngle(ad, am, as)
hmax = heading + getDecimalAngle(ad, am, as)
if hmin < 0 then do
hmin = hmin + 360
end
if hmax >= 360 then do
hmax = hmax - 360
end
index = getRosepointIndex(heading)
parse getRosepoint(index) p_abbrev p_full
r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) -
p_abbrev.left(4) -
p_full.left(20) -
hmin.format(6, 3).right(10) -
heading.format(6, 3).right(10) -
hmax.format(6, 3).right(10)
end h_
return table
</syntaxhighlight>
;Output
<pre style="height: 60ex; overflow:scroll;">
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
</pre>
=={{header|Nim}}==
<syntaxhighlight lang="nim">import math, sequtils, strformat, strutils
const
headingNames: array[1..32, 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"]
maxNameLength = headingNames.mapIt(it.len).max
degreesPerHeading = 360 / 32
func toCompassIndex(degree: float): 1..32 =
var degree = (degree + degreesPerHeading / 2).floorMod 360
int(degree / degreesPerHeading) + 1
func toCompassHeading(degree: float): string = headingNames[degree.toCompassIndex]
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)
index = heading.toCompassIndex
compassHeading = heading.toCompassHeading.alignLeft(maxNameLength)
echo fmt"{index:>2} {compassHeading} {heading:6.2f}"</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|Objeck}}==
<syntaxhighlight lang="objeck">
class BoxCompass {
function : Main(args : String[]) ~ Nil {
points := [
"North ", "North by east ", "North-northeast ",
"Northeast by north", "Northeast ", "Northeast by east ", "East-northeast ",
"East by north ", "East ", "East by south ", "East-southeast ",
"Southeast by east ", "Southeast ", "Southeast by south", "South-southeast ",
"South by east ", "South ", "South by west ", "South-southwest ",
"Southwest by south", "Southwest ", "Southwest by west ", "West-southwest ",
"West by south ", "West ", "West by north ", "West-northwest ",
"Northwest by west ", "Northwest ", "Northwest by north", "North-northwest ",
"North by west " ];
for(i := 0; i<= 32; i += 1;) {
heading := i * 11.25;
select(i % 3) {
label 1: {
heading += 5.62;
}
label 2: {
heading -= 5.62;
}
};
IO.Console->Print((i % 32) + 1)->Print('\t')->Print(points[GetPoint(heading)])
->Print('\t')->PrintLine(heading);
};
}
function : GetPoint(degrees : Float) ~ Int {
return (degrees / 11.25 + 0.5)->Floor()->As(Int) % 32;
}
}
</syntaxhighlight>
Output
<pre>
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
</pre>
=={{header|OCaml}}==
<syntaxhighlight lang="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;;
</syntaxhighlight>
Sample output:
<pre>
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
</pre>
=={{header|OoRexx}}==
<syntaxhighlight lang="oorexx">/* Rexx */
Do
globs = '!DEG !MIN !SEC !FULL'
Drop !DEG !MIN !SEC !FULL
sign. = ''
sign.!DEG = 'c2b0'x -- degree sign : U+00B0
sign.!MIN = 'e280b2'x -- prime : U+2032
sign.!SEC = 'e280b3'x -- double prime : U+2033
points. = ''
Call display_compass_points
Call display_sample
Say
headings. = ''
headings.0 = 0
Call make_headings
Call flush_queue
Do h_ = 1 to headings.0
Queue headings.h_
End h_
Call display_sample
Say
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 pull heading
index = get_index(heading)
Parse Value get_point(index) with p_abbrev p_full
Say index~right(3),
p_abbrev~left(4) p_full~left(20),
heading~format(5, 3) || sign.!DEG '('format_degrees_minutes_seconds(heading)')',
''
End q_
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)')',
heading~format(5, 3) || sign.!DEG '('format_degrees_minutes_seconds(heading)')',
hmax~format(5, 3) || sign.!DEG '('format_degrees_minutes_seconds(hmax)')',
''
End h_
Say
Return
End
Exit
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
make_headings:
Procedure Expose headings.
Do
points = 32
Do i_ = 0 to points
heading = i_ * 360 / 32
it = i_ // 3
Select
When it = 1 then Do
heading_h = heading + 5.62
End
When it = 2 then Do
heading_h = heading - 5.62
End
Otherwise Do
heading_h = heading
End
End
index = (i_ // points) + 1
ix = headings.0 + 1; headings.0 = ix; headings.ix = heading_h
End i_
Return
End
Exit
/* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */
get_index:
Procedure
Do
Parse Arg heading .
one_pt = 360 / 32
hn = heading // 360
hi = hn % one_pt
If hn > hi * one_pt + one_pt / 2 then Do
hi = hi + 1 -- greater than max range for this point; bump to next point
End
idx = hi // 32 + 1 -- add one to get index into points. stem
Return 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
</syntaxhighlight>
;Output
<pre style="height: 60ex; overflow:scroll;">
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″)
</pre>
=={{header|PARI/GP}}==
<syntaxhighlight lang="parigp">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))</syntaxhighlight>
Output:
<pre>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</pre>
=={{header|Pascal}}==
{{trans|Fortran}}
<syntaxhighlight lang="pascal">program BoxTheCompass(output);
function compasspoint(angle: real): string;
const
points: array [1..32] of string =
('North ', 'North by east ', 'North-northeast ', 'Northeast by north',
'Northeast ', 'Northeast by east ', 'East-northeast ', 'East by north ',
'East ', 'East by south ', 'East-southeast ', 'Southeast by east ',
'Southeast ', 'Southeast by south', 'South-southeast ', 'South by east ',
'South ', 'South by west ', 'South-southwest ', 'Southwest by south',
'Southwest ', 'Southwest by west ', 'West-southwest ', 'West by south ',
'West ', 'West by north ', 'West-northwest ', 'Northwest by west ',
'Northwest ', 'Northwest by north', 'North-northwest ', 'North by west '
);
var
index: integer;
begin
index := round (angle / 11.25);
index := index mod 32 + 1;
compasspoint := points[index];
end;
var
i: integer;
heading: real;
begin
for i := 0 to 32 do
begin
heading := i * 11.25;
case (i mod 3) of
1: heading := heading + 5.62;
2: heading := heading - 5.62;
end;
writeln((i mod 32) + 1:2, ' ', compasspoint(heading), ' ', heading:8:4);
end;
end.</syntaxhighlight>
Output:
<pre>
:> ./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
</pre>
=={{header|Perl}}==
Don't waste brain cells calculating names, not worth the effort. Code is probably shorter, faster, and easier to read this way.
<syntaxhighlight lang="perl">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], $_;
}</syntaxhighlight>output<syntaxhighlight lang="text"> 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°</syntaxhighlight>
=={{header|Phix}}==
Unlike the Perl guy, for me the maths is the boring bit, building those strings is the fun!<br>
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">get225</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">p1</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">p2</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">p4</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">p3</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p1</span><span style="color: #0000FF;">&</span><span style="color: #008000;">'-'</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">p2</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" by "</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">p1</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" by "</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p4</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">d</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- eg {North by east,North-northeast,Northeast by north}</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- eg {Northeast by east,East-northeast,East by north}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">get45</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">p1</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">p2</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">p3</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- North/East/South/West</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">d</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">p3</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p1</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- Northeast/Southwest</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">p3</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p2</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- Southeast/Northwest</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">get225</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- eg get225(1,North,Northeast,East)
-- -> {North by east,North-northeast,Northeast by north}</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p3</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- Northeast/Southeast/Southwest/Northwest</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">get225</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p1</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- eg get225(0,East,Northeast,North)
-- -> {Northeast by east,East-northeast,East by north}</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">get90</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">get45</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span><span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> <span style="color: #000080;font-style:italic;">-- ie get45(1,North,East)
-- get45(0,East,South)
-- get45(1,South,West)
-- get45(0,West,North)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">compass_points</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">get90</span><span style="color: #0000FF;">({</span><span style="color: #008000;">"North"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"East"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"South"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"West"</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">33</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">test_point</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">11.25</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">5.62</span><span style="color: #0000FF;">*(</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">compass_point</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_point</span><span style="color: #0000FF;">*</span><span style="color: #000000;">32</span><span style="color: #0000FF;">/</span><span style="color: #000000;">360</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">),</span><span style="color: #000000;">32</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"%2d %-22s %6.2f\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">compass_point</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">compass_points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">compass_point</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">test_point</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</syntaxhighlight>-->
If you like, you can regard d=1 (both of them) as "clockwise-name-inherit" and d=0 as "anti-clockwise-name-inherit".<br>
{{out}}
<pre>
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
</pre>
of course the following (more sensible but less fun, full standalone program) way works just as well, and produces the same output
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">compass_points</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span> <span style="color: #008000;">"North"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"North by east"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"North-northeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Northeast by north"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"Northeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Northeast by east"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"East-northeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"East by north"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"East"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"East by south"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"East-southeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Southeast by east"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"Southeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Southeast by south"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"South-southeast"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"South by east"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"South"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"South by west"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"South-southwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Southwest by south"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"Southwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Southwest by west"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"West-southwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"West by south"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"West"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"West by north"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"West-northwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Northwest by west"</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">"Northwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"Northwest by north"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"North-northwest"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"North by west"</span><span style="color: #0000FF;">},</span>
<span style="color: #000000;">test_points</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">0.0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">16.87</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">16.88</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">33.75</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">50.62</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">50.63</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">67.5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">84.37</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">84.38</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">101.25</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">118.12</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">118.13</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">135.0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">151.87</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">151.88</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">168.75</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">185.62</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">185.63</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">202.5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">219.37</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">219.38</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">236.25</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">253.12</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">253.13</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">270.0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">286.87</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">286.88</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">303.75</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">320.62</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">320.63</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">337.5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">354.37</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">354.38</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_points</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">compass_point</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">32</span><span style="color: #0000FF;">/</span><span style="color: #000000;">360</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">),</span><span style="color: #000000;">32</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"%2d %-22s %6.2f\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">compass_point</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">compass_points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">compass_point</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">test_points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</syntaxhighlight>-->
=={{header|Picat}}==
{{trans|Nim}}
<syntaxhighlight lang="picat">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.</syntaxhighlight>
{{out}}
<pre> 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</pre>
=={{header|PicoLisp}}==
<syntaxhighlight lang="picolisp">(scl 3)
(setq *Compass # Build lookup table
(let H -16.875
(mapcar
'((Str)
(cons
(inc 'H 11.25) # Heading in degrees
(pack # Compass point
(replace (chop Str)
"N" "north"
"E" "east"
"S" "south"
"W" "west"
"b" " by " ) ) ) )
'("N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"
"E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"
"S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"
"W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"
"N" ) ) ) )
(de heading (Deg)
(rank (% Deg 360.00) *Compass) )
(for I (range 0 32)
(let H (* I 11.25)
(case (% I 3)
(1 (inc 'H 5.62))
(2 (dec 'H 5.62)) )
(tab (3 1 -18 8)
(inc (% I 32))
NIL
(cdr (heading H))
(round H 2) ) ) )</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|PowerShell}}==
<syntaxhighlight lang="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 $_ }</syntaxhighlight>
{{out}}
<pre>north
north by east
north-northeast
northeast by north
northeast
northeast by east
east-northeast
east by north
east
east by south
east-southeast
southeast by east
southeast
southeast by south
south-southeast
south by east
south
south by west
south-southwest
southwest by south
southwest
southwest by west
west-southwest
west by south
west
west by north
west-northwest
northwest by west
northwest
northwest by north
north-northwest
north by west
north</pre>
A more general solution allowing you to choose whether to use 4, 8, 16, or 32 compass points.
<syntaxhighlight lang="powershell">function Convert-DegreeToDirection ( [double]$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</syntaxhighlight>
{{out}}
<pre>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</pre>
=={{header|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.
<syntaxhighlight lang="prolog">
compassangle(1, 'North',n, 0.00).
compassangle(2, 'North by east', nbe, 11.25).
compassangle(3, 'North-northeast', nne,22.50).
compassangle(4, 'Northeast by north', nebn,33.75).
compassangle(5, 'Northeast', ne,45.00).
compassangle(6, 'Norteast by east', nebe,56.25).
compassangle(7, 'East-northeast', ene,67.50).
compassangle(8, 'East by North', ebn,78.75).
compassangle(9, 'East', e,90.00).
compassangle(10, 'East by south', ebs, 101.25).
compassangle(11, 'East-southeast', ese,112.50).
compassangle(12, 'Southeast by east', sebe, 123.75).
compassangle(13, 'Southeast', se, 135.00).
compassangle(14, 'Southeast by south', sebs, 146.25).
compassangle(15, 'South-southeast',sse, 157.50).
compassangle(16, 'South by east', sbe, 168.75).
compassangle(17, 'South', s, 180.00).
compassangle(18, 'South by west', sbw, 191.25).
compassangle(19, 'South-southwest', ssw, 202.50).
compassangle(20, 'Southwest by south', swbs, 213.75).
compassangle(21, 'Southwest', sw, 225.00).
compassangle(22, 'Southwest by west', swbw, 236.25).
compassangle(23, 'West-southwest', wsw, 247.50).
compassangle(24, 'West by south', wbs, 258.75).
compassangle(25, 'West', w, 270.00).
compassangle(26, 'West by north', wbn, 281.25).
compassangle(27, 'West-northwest', wnw, 292.50).
compassangle(28, 'Northwest by west', nwbw, 303.75).
compassangle(29, 'Northwest', nw, 315.00).
compassangle(30, 'Northwest by north', nwbn, 326.25).
compassangle(31, 'North-northwest', nnw, 337.50).
compassangle(32, 'North by west', nbw, 348.75).
compassangle(1, 'North', n, 360.00).
compassangle(Index , Name, Heading, Angle) :- nonvar(Angle), resolveindex(Angle, Index),
compassangle(Index,Name, Heading, _).
resolveindex(Angle, Index) :- N is Angle / 11.25 + 0.5, I is floor(N),Index is (I mod 32) + 1.
</syntaxhighlight>
Part 2 : The following rules print a table of indexes.
<syntaxhighlight lang="prolog">
printTableRow(Angle) :- compassangle(Index, Name, _, Angle),
write(Index), write(' '),
write(Name), write(' '),
write(Angle).
printTable([X|Xs]) :- printTableRow(X), nl, printTable(Xs),!.
printTable([]).
</syntaxhighlight>
The following query prints the required table.
<syntaxhighlight lang="prolog">
?- 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.
</syntaxhighlight>
=={{header|PureBasic}}==
<syntaxhighlight lang="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
Read.s abbr
Read.s expansion
dirSubst(abbr) = expansion
Next
Dim dirs.s(32)
Define j, s.s
For j = 0 To 1
Read.s s.s
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()
Define i, heading.f, index
For i = 0 To 32
heading = i * 11.25
If i % 3 = 1
heading + 5.62
EndIf
If i % 3 = 2
heading - 5.62
EndIf
index = i % 32 + 1
PrintN(RSet(Str(index), 2) + " " + LSet(angle2compass(heading), 18) + RSet(StrF(heading, 2), 7))
Next
Print(#CRLF$ + #CRLF$ + "Press ENTER to exit"): Input()
CloseConsole()
EndIf</syntaxhighlight>
Sample output:
<pre> 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</pre>
=={{header|Python}}==
<
majors *=
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]
Line 257 ⟶ 6,162:
return q[minorindex].replace('N', p1).replace('E', p2).capitalize()
if __name__ == '__main__':
n = i % 32 + 1
print( '%2i %-18s %7.2f°' % (n, degrees2compasspoint(d), d) )</syntaxhighlight>
;Output
Line 299 ⟶ 6,205:
32 North by west 354.37°
1 North 354.38°</pre>
=={{header|QBasic}}==
{{works with|QBasic|1.1}}
{{works with|QuickBasic|4.5}}
{{trans|Liberty BASIC}}
<syntaxhighlight lang="qbasic">DECLARE FUNCTION compasspoint$ (h!)
DIM SHARED point$(32)
FOR i = 1 TO 32
READ d$: point$(i) = d$
NEXT i
FOR i = 0 TO 32
heading = i * 11.25
IF (i MOD 3) = 1 THEN
heading = heading + 5.62
ELSE
IF (i MOD 3) = 2 THEN heading = heading - 5.62
END IF
ind = i MOD 32 + 1
PRINT ind, compasspoint$(heading), heading
NEXT i
END
DATA "North ", "North by east ", "North-northeast ", "Northeast by north"
DATA "Northeast ", "Northeast by east ", "East-northeast ", "East by north "
DATA "East ", "East by south ", "East-southeast ", "Southeast by east "
DATA "Southeast ", "Southeast by south", "South-southeast ", "South by east "
DATA "South ", "South by west ", "South-southwest ", "Southwest by south"
DATA "Southwest ", "Southwest by west ", "West-southwest ", "West by south "
DATA "West ", "West by north ", "West-northwest ", "Northwest by west "
DATA "Northwest ", "Northwest by north", "North-northwest ", "North by west "
FUNCTION compasspoint$ (h)
x = h / 11.25 + 1.5
IF (x >= 33!) THEN x = x - 32!
compasspoint$ = point$(INT(x))
END FUNCTION</syntaxhighlight>
=={{header|Quackery}}==
<code>switch</code>, <code>case</code> and <code>otherwise</code> are define at [[Metaprogramming#Quackery]].
<syntaxhighlight lang="Quackery"> [ tuck space swap of
join
swap split drop echo$ ] is lecho$ ( $ n --> )
[ table ] is heading
$ "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 ]
' heading put ]
[ 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 ]</syntaxhighlight>
{{out}}
<pre> 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
</pre>
=={{header|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:
<syntaxhighlight lang="rsplus">
# 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$deg <- seq(0, 360, 360/32)
heading <- Vectorize(function(deg) {
res <- pts
# Calculate the absolute difference between each
# point on the table and the function input
res$diff <- abs(res$deg - deg)
# Sort the table by abs difference, return the first
res <- res[order(res$diff), ]
res[1,]$des[1]
})
</syntaxhighlight>
Here are the test inputs:
<syntaxhighlight lang="rsplus">
test <- data.frame(
deg = c( 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37,
84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13,
270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37,
354.38)
)
test$heading <- heading(test$deg)
test
</syntaxhighlight>
Check that the output headings cover the full range of headings:
<syntaxhighlight lang="r">
all.equal(test$heading, pts$des)
</syntaxhighlight>
{{out}}
<pre>
> test
deg heading
1 0.00 N
2 16.87 NxE
3 16.88 NNE
4 33.75 NExN
5 50.62 NE
6 50.63 NExE
7 67.50 ENE
8 84.37 ExN
9 84.38 E
10 101.25 ExS
11 118.12 ESE
12 118.13 SExE
13 135.00 SE
14 151.87 SExS
15 151.88 SSE
16 168.75 SxE
17 185.62 S
18 185.63 SxW
19 202.50 SSW
20 219.37 SWxS
21 219.38 SW
22 236.25 SWxW
23 253.12 WSW
24 253.13 WxS
25 270.00 W
26 286.87 WxN
27 286.88 WNW
28 303.75 NWxW
29 320.62 NW
30 320.63 NWxN
31 337.50 NNW
32 354.37 NxW
33 354.38 N
> all.equal(test$heading, pts$des)
[1] TRUE
</pre>
=={{header|Racket}}==
<syntaxhighlight lang="racket">#lang racket
;;; Generate the headings and boxes
(define (i->heading/box i)
(values (let ((heading (* i #e11.25)))
(case (modulo i 3)
((1) (+ heading #e5.62))
((2) (- heading #e5.62))
(else heading)))
(add1 (modulo i 32))))
(define-values (headings-list box-list)
(for/lists (h-lst i-lst) ((i (in-range 0 (add1 32))))
(i->heading/box i)))
(define box-names
(list "North" "North by east" "North-northeast"
"Northeast by north" "Northeast" "Northeast by east"
"East-northeast" "East by north" "East" "East by south" "East-southeast"
"Southeast by east" "Southeast" "Southeast by south" "South-southeast"
"South by east" "South" "South by west" "South-southwest"
"Southwest by south" "Southwest" "Southwest by west"
"West-southwest" "West by south" "West" "West by north" "West-northwest"
"Northwest by west" "Northwest" "Northwest by north" "North-northwest"
"North by west"))
(define (heading->box h)
(let* ((n-boxes (length box-names))
(box-width (/ 360 n-boxes)))
(add1 (modulo (ceiling (- (/ h box-width) 1/2)) n-boxes))))
;;; displays a single row of the table, can also be used for titles
(define (display-row b a p)
(printf "~a | ~a | ~a~%"
(~a b #:width 2 #:align 'right)
(~a a #:width 6 #:align 'right)
(~a p)))
;;; display the table
(display-row "#" "Angle" "Point")
(displayln "---+--------+-------------------")
(for ((heading headings-list))
(let* ((box-number (heading->box heading)))
;; by coincidence, default value of the second argument to
;; real->decimal-string "decimal-digits" is 2,... just what we want!
(display-row box-number
(real->decimal-string heading)
(list-ref box-names (sub1 box-number)))))
(module+ test
(require rackunit)
;;; unit test heading->box (the business end of the implementation)
(check-= (heading->box 354.38) 1 0)
(check-= (heading->box 5.62) 1 0)
(check-= (heading->box 5.63) 2 0)
(check-= (heading->box 16.87) 2 0))</syntaxhighlight>
Output:
<pre> # | 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</pre>
=={{header|Raku}}==
(formerly Perl 6)
{{works with|Rakudo|2015.12}}
<syntaxhighlight lang="raku" line>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;
}</syntaxhighlight>
Output:
<pre> 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</pre>
=={{header|Red}}==
<syntaxhighlight lang="rebol">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
]
print-line: does [ print [pad/left hm/:heading/1 3 pad hm/:heading/2 20 heading ] ]
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] ]
print-line heading
]</syntaxhighlight>
'''output'''
<pre>
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
>>
</pre>
=={{header|REXX}}==
This version does normalization of the (degree) heading and can also handle negative headings.
<syntaxhighlight lang="rexx">/*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(degsym'heading',30) center('compass heading',20)
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 */
Say right(format(x,,2)degsym,30-1) pad boxheading(x)
End
Exit /* stick a fork in it, we're all done*/
/*---------------------------------------------------------------------*/
boxheading:
y=arg(1)//360
If y<0 Then
y=360-y /* normalize heading within unit circle */
z=word(names,trunc(max(1,(y/11.25+1.5)//nn))) /* degrees->heading */
/* 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 '. */</syntaxhighlight>
Some older REXXes don't have a '''changestr''' BIF, so one is included here ──► [[CHANGESTR.REX]].
<br><br>
{{out}}
<pre>
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
</pre>
=={{header|Ring}}==
<syntaxhighlight lang="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
</syntaxhighlight>
Output:
<pre>
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
</pre>
=={{header|RPL}}==
{{works with|Halcyon Calc|4.2.9}}
{| class="wikitable" ≪
! RPL code
! Comment
|-
|
≪ { "north" "east" "south" "west" }
SWAP 8 / IP 1 + GET
LAST 1 + DUP 5 ≠ SWAP 1 IFTE GET
≫ '<span style="color:blue">I→QDT</span>' STO
≪ → pattern a b
≪ "" 1 pattern SIZE '''FOR''' j
pattern j DUP SUB
DUP "X" == a ROT DUP "Y" == b ROT IFTE IFTE
+ '''NEXT'''
≫ ≫ '<span style="color:blue">FILLXY</span>' 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 <span style="color:blue">I→QDT</span> <span style="color:blue">FILLXY</span>
≫ '<span style="color:blue">→HDG</span>' STO
|
<span style="color:blue">I→QDT</span> ''( index → "wind1" "wind2" )'' // index ∈ [0,31]
Get wind1
Get wind2
<span style="color:blue">FILLXY</span> ''( "pattern" "a" "b" → "string" ) ''
Initialize output string and loop
get jth character of pattern
replace "X" by "a" and "Y" by b
add to output string
<span style="color:blue">→HDG</span> ''( 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) :
≪ <span style="color:red">{ 0 16.87 16.88 33.75 50.62 354.37 354.38 } { } 1 3</span> PICK SIZE '''FOR''' j OVER j GET <span style="color:blue">→HDG</span> + '''NEXT''' SWAP DROP ≫ EVAL
{{out}}
<pre>
1: { "north" "north by east" "north-northeast" "northeast by north" "northeast" "north by west" "north" }
</pre>
=={{header|Ruby}}==
<syntaxhighlight lang="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
Headings.prepend nil
def heading(degrees)
i = degrees.quo(360).*(32).round.%(32).+(1)
[i, Headings[i]]
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|
index, name = heading degrees
printf "%2d %20s %6.2f\n", index, name.center(20), degrees
end</syntaxhighlight>
{{output}}
<pre style="height: 10em;"> 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</pre>
=={{header|Run BASIC}}==
<syntaxhighlight lang="runbasic">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"</syntaxhighlight>
<code><table border=1>
<TR><TD align=right>1</td><td>North</td><td>0.0</td></tr>
<TR><TD align=right>2</td><td>North by east</td><td>16.87</td></tr>
<TR><TD align=right>3</td><td>North-northeast</td><td>16.88</td></tr>
<TR><TD align=right>4</td><td>Northeast by north</td><td>33.75</td></tr>
<TR><TD align=right>5</td><td>Northeast</td><td>50.62</td></tr>
<TR><TD align=right>6</td><td>Northeast by east</td><td>50.63</td></tr>
<TR><TD align=right>7</td><td>East-northeast</td><td>67.5</td></tr>
<TR><TD align=right>8</td><td>East by north</td><td>84.37</td></tr>
<TR><TD align=right>9</td><td>East</td><td>84.38</td></tr>
<TR><TD align=right>10</td><td>East by south</td><td>101.25</td></tr>
<TR><TD align=right>11</td><td>East-southeast</td><td>118.12</td></tr>
<TR><TD align=right>12</td><td>Southeast by east</td><td>118.13</td></tr>
<TR><TD align=right>13</td><td>Southeast</td><td>135.0</td></tr>
<TR><TD align=right>14</td><td>Southeast by south</td><td>151.87</td></tr>
<TR><TD align=right>15</td><td>South-southeast</td><td>151.88</td></tr>
<TR><TD align=right>16</td><td>South by east</td><td>168.75</td></tr>
<TR><TD align=right>17</td><td>South</td><td>185.62</td></tr>
<TR><TD align=right>18</td><td>South by west</td><td>185.63</td></tr>
<TR><TD align=right>19</td><td>South-southwest</td><td>202.5</td></tr>
<TR><TD align=right>20</td><td>Southwest by south</td><td>219.37</td></tr>
<TR><TD align=right>21</td><td>Southwest</td><td>219.38</td></tr>
<TR><TD align=right>22</td><td>Southwest by west</td><td>236.25</td></tr>
<TR><TD align=right>23</td><td>West-southwest</td><td>253.12</td></tr>
<TR><TD align=right>24</td><td>West by south</td><td>253.13</td></tr>
<TR><TD align=right>25</td><td>West</td><td>270.0</td></tr>
<TR><TD align=right>26</td><td>West by north</td><td>286.87</td></tr>
<TR><TD align=right>27</td><td>West-northwest</td><td>286.88</td></tr>
<TR><TD align=right>28</td><td>Northwest by west</td><td>303.75</td></tr>
<TR><TD align=right>29</td><td>Northwest</td><td>320.62</td></tr>
<TR><TD align=right>30</td><td>Northwest by north</td><td>320.63</td></tr>
<TR><TD align=right>31</td><td>North-northwest</td><td>337.5</td></tr>
<TR><TD align=right>32</td><td>North by west</td><td>354.37</td></tr>
<TR><TD align=right>1</td><td>North</td><td>354.38</td></tr>
</table>
</code>
=={{header|Rust}}==
{{trans|Kotlin}}
<syntaxhighlight lang="rust">fn expand(cp: &str) -> String {
let mut out = String::new();
for c in cp.chars() {
out.push_str(match c {
'N' => "north",
'E' => "east",
'S' => "south",
'W' => "west",
'b' => " by ",
_ => "-",
});
}
out
}
fn main() {
let cp = [
"N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",
"E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",
"S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",
"W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"
];
println!("Index Degrees Compass point");
println!("----- ------- -------------");
for i in 0..=32 {
let index = i % 32;
let heading = i as f32 * 11.25
+ match i % 3 {
1 => 5.62,
2 => -5.62,
_ => 0.0,
};
println!(
"{:2} {:6.2} {}",
index + 1,
heading,
expand(cp[index])
);
}
}</syntaxhighlight>
{{out}}
<pre>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</pre>
=={{header|Scala}}==
Inspired by Java version
<syntaxhighlight lang="scala">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))}
}</syntaxhighlight>
Output:
<pre>
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°
</pre>
=={{header|Seed7}}==
<syntaxhighlight lang="seed7">$ include "seed7_05.s7i";
include "float.s7i";
const array string: names is [] ("North", "North by east", "North-northeast", "Northeast by north",
"Northeast", "Northeast by east", "East-northeast", "East by north", "East", "East by south",
"East-southeast", "Southeast by east", "Southeast", "Southeast by south", "South-southeast",
"South by east", "South", "South by west", "South-southwest", "Southwest by south", "Southwest",
"Southwest by west", "West-southwest", "West by south", "West", "West by north", "West-northwest",
"Northwest by west", "Northwest", "Northwest by north", "North-northwest", "North by west", "North");
const proc: main is func
local
const array float: degrees is [] (0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38,
101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38,
236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38);
var integer: index is 0;
var integer: nameIndex is 0;
begin
for key index range degrees do
nameIndex := round(degrees[index] * 32.0 / 360.0);
writeln(succ(pred(index) rem 32) lpad 2 <& " " <& names[succ(nameIndex rem 32)] rpad 22 <&
degrees[index] digits 2 lpad 6);
end for;
end func;</syntaxhighlight>
Output:
<pre>
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
</pre>
=={{header|Sidef}}==
{{trans|Raku}}
<syntaxhighlight lang="ruby">func point (index) {
var ix = (index % 32);
if (ix & 1) { "#{point((ix + 1) & 28)} by #{point(((2 - (ix & 2)) * 4) + ix & 24)}" }
elsif (ix & 2) { "#{point((ix + 2) & 24)}-#{point((ix | 4) & 28)}" }
elsif (ix & 4) { "#{point((ix + 8) & 16)}#{point((ix | 8) & 24)}" }
else { <north east south west>[ix / 8] }
}
func test_angle (ix) { ix * 11.25 + [0, 5.62, -5.62][ ix % 3 ] };
func angle_to_point(𝜽) { (𝜽 / 360 * 32) + 0.5 -> floor };
for ix in range(0, 32) {
var 𝜽 = test_angle(ix);
printf(" %2d %6.2f° %s\n", ix % 32 + 1, 𝜽, point(angle_to_point(𝜽)).tc);
}</syntaxhighlight>
{{out}}
<pre>
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
</pre>
=={{header|smart BASIC}}==
<syntaxhighlight lang="smart basic">/*Boxing The Compass by rbytes December 2017*/
GET SCREEN SIZE sw,sh
OPTION BASE 1
DIM point$(32,5)
FOR i=1 TO 32
FOR j=1 TO 5
READ point$(i,j)
NEXT j
NEXT i
html$= "<table border=1>"
html$&= "<TR><TD align=right></td><td>Boxing The Compass</td><td>Abbr</td><td>Min</td><td>Med</td><td>Max</td></tr>"
FOR i =1 TO 32
html$&= "<TR><TD align=right>"&i&"</td><td>"&point$(i,1)&"</td><td>"&point$(i,2)&"</td><td>"&point$(i,3)&"</td><td>"&point$(i,4)&"</td><td>"&point$(i,5)&"</td></tr>"
NEXT i
html$&= "</table>"
BROWSER "compass" AT 0,0 SIZE sw-20,sh-20
BROWSER "compass" TEXT html$
PAUSE 20
END
DATA "North", "N", "354.38", "0", "5.62", "North by east", "NbE", "5.63", "11.25", "16.87"
DATA "North-northeast", "NNE", "16.88", "22.50", "28.12", "Northeast by north", "NEbN", "28.13", "33.75", "39.37"
DATA "Northeast", "NE", "39.38", "45.00", "50.62", "Northeast by east", "NEbE", "50.63", "56.25", "61.87"
DATA "East-northeast", "ENE", "61.88", "67.50", "73.12", "East by north", "EbN", "73.13", "78.75", "84.37"
DATA "East", "E", "84.38", "90.00", "95.62", "East by south", "EbS", "95.63", "101.25", "106.87"
DATA "East-southeast", "ESE", "106.88", "112.50", "118.12", "Southeast by east", "SEbE", "118.13", "123.75", "129.37"
DATA "Southeast", "SE", "129.38", "135.00", "140.62", "Southeast by south", "SEbS", "140.63", "146.25", "151.87"
DATA "South-southeast", "SSE", "151.88", "157.50", "163.12", "South by east", "SbE", "163.13", "168.75", "174.37"
DATA "South", "S", "174.38", "180.00", "185.62", "South by west", "SbW", "185.63", "191.25", "196.87"
DATA "South-southwest", "SSW", "196.88", "202.50", "208.12", "Southwest by south", "SWbS", "208.13", "213.75", "219.37"
DATA "Southwest", "SW", "219.38", "225.00", "230.62", "Southwest by west", "SWbW", "230.63", "236.25", "241.87"
DATA "West-southwest", "WSW", "241.88", "247.50", "253.12", "West by south", "WbS", "253.13", "258.75", "264.37"
DATA "West", "W", "264.38", "270.00", "275.62", "West by north", "WbN", "275.63", "281.25", "286.87"
DATA "West-northwest", "WNW", "286.88", "292.50", "298.12", "Northwest by west", "NWbW", "298.13", "303.75", "309.37"
DATA "Northwest", "NW", "309.38", "315.00", "320.62", "Northwest by north", "NWbN", "320.63", "326.25", "331.87"
DATA "North-northwest", "NNW", "331.88", "337.50", "343.12", "North by west", "NbW", "343.13", "348.75", "354.37"
</syntaxhighlight>
Output:
<pre>
This chart actually displays as a table in a browser object running in smart Basic
Boxing The Compass Abbr Min Med Max
1 North N 354.38 0 5.62
2 North by east NbE 5.63 11.25 16.87
3 North-northeast NNE 16.88 22.50 28.12
4 Northeast by north NEbN 28.13 33.75 39.37
5 Northeast NE 39.38 45.00 50.62
6 Northeast by east NEbE 50.63 56.25 61.87
7 East-northeast ENE 61.88 67.50 73.12
8 East by north EbN 73.13 78.75 84.37
9 East E 84.38 90.00 95.62
10 East by south EbS 95.63 101.25 106.87
11 East-southeast ESE 106.88 112.50 118.12
12 Southeast by east SEbE 118.13 123.75 129.37
13 Southeast SE 129.38 135.00 140.62
14 Southeast by south SEbS 140.63 146.25 151.87
15 South-southeast SSE 151.88 157.50 163.12
16 South by east SbE 163.13 168.75 174.37
17 South S 174.38 180.00 185.62
18 South by west SbW 185.63 191.25 196.87
19 South-southwest SSW 196.88 202.50 208.12
20 Southwest by south SWbS 208.13 213.75 219.37
21 Southwest SW 219.38 225.00 230.62
22 Southwest by west SWbW 230.63 236.25 241.87
23 West-southwest WSW 241.88 247.50 253.12
24 West by south WbS 253.13 258.75 264.37
25 West W 264.38 270.00 275.62
26 West by north WbN 275.63 281.25 286.87
27 West-northwest WNW 286.88 292.50 298.12
28 Northwest by west NWbW 298.13 303.75 309.37
29 Northwest NW 309.38 315.00 320.62
30 Northwest by north NWbN 320.63 326.25 331.87
31 North-northwest NNW 331.88 337.50 343.12
32 North by west NbW 343.13 348.75 354.37
</pre>
=={{header|Swift}}==
Implementation:
<syntaxhighlight lang="swift">
import Foundation
extension Double {
var nearestQr: Double {(self * 4.0).rounded(.toNearestOrAwayFromZero) / 4.0}
}
extension Measurement<UnitAngle>/*: ExpressibleByFloatLiteral*/ {
var cos: Double { Darwin.cos(self.converted(to: .radians).value) }
var sin: Double { Darwin.sin(self.converted(to: .radians).value) }
}
struct Compass {
var bearing: Measurement<UnitAngle>
var style: Style = .RN
init(_ deg: Double, _ min: Double = 0, _ sec: Double = 0, style: Style = .RN
) {
self.bearing = .init(value: deg + min/60.0 + sec/360.0, unit: .degrees)
self.style = style
}
static func degreesToPoints(_ deg: Double) -> Double {
(deg/360 * 32).nearestQr
}
var point: Double {
Self.degreesToPoints(self.bearing.value)
}
var quad: (String,String) {
(bearing.cos < 0 ? "S" : "N", bearing.sin < 0 ? "W" : "E")
}
var step: (Int,Double) {
let temp = 8 - abs(abs(self.point - 16) - 8)
return (Int(temp),temp.truncatingRemainder(dividingBy: 1))
}
enum Style {case RN, USN, noBy}
var formats = ["N", "NxE", "NNE", "NExN", "NE", "NExE", "ENE", "ExN", "E"]
let fractions = ["¼","½","¾"]
var invertedPoints: [Int] {
switch self.style {
case .RN: [3,6,7]
case .USN: [3,7]
case .noBy: [1,5,7]
}
}
func named() -> String {
var (pt,frac) = self.step
var fracStr: String = ""
if frac != 0.0 {
if invertedPoints.contains(pt) {
pt += 1
fracStr = fractions.reversed()[Int(frac * 4) - 1] + "N"
} else {
fracStr = fractions[Int(frac * 4) - 1] + "E"
}
}
return (self.formats[pt] + fracStr)
.replacing(/(N|E)/) { $0.output.0 == "N" ? self.quad.0 : self.quad.1 }
.replacing(/x/) {_ in "by"}
}
}
</syntaxhighlight>
Execution:
<syntaxhighlight lang="swift">
let arr = [
000.00, 016.87, 016.88, 033.75, 050.62, 050.63, 067.50, 084.37, 084.38,
090.00, 101.25, 118.12, 118.13, 135.00, 151.87, 151.88, 168.75, 185.62,
185.63, 202.50, 219.37, 219.38, 236.25, 253.12, 253.13, 270.00, 286.87,
286.88, 303.75, 320.62, 320.63, 337.50, 354.37, 354.38
]
let arr2 = stride(from: 0, through: 360, by: 22.5/8.0)
let pointFormatter = NumberFormatter()
pointFormatter.minimumIntegerDigits = 2
pointFormatter.minimumFractionDigits = 2
for d in arr {
let c = Compass(d, style: .RN)
print(pointFormatter.string(from: c.point as NSNumber)!, c.dms , c.named())
}
</syntaxhighlight>
Result:
<pre>
00.00 000°00'00" N
01.50 016°52'12" NbyE½E
01.50 016°52'47" NbyE½E
03.00 033°45'00" NEbyN
04.50 050°37'11" NE½E
04.50 050°37'48" NE½E
06.00 067°30'00" ENE
07.50 084°22'12" E½N
07.50 084°22'47" E½N
08.00 090°00'00" E
09.00 101°15'00" EbyS
10.50 118°07'12" SEbyE½E
10.50 118°07'47" SEbyE½E
12.00 135°00'00" SE
13.50 151°52'12" SSE½E
13.50 151°52'47" SSE½E
15.00 168°45'00" SbyE
16.50 185°37'12" S½W
16.50 185°37'47" S½W
18.00 202°30'00" SSW
19.50 219°22'12" SW½S
19.50 219°22'47" SW½S
21.00 236°15'00" SWbyW
22.50 253°07'12" WbyS½S
22.50 253°07'47" WbyS½S
24.00 270°00'00" W
25.50 286°52'12" WbyN½N
25.50 286°52'47" WbyN½N
27.00 303°45'00" NWbyW
28.50 320°37'12" NW½N
28.50 320°37'47" NW½N
30.00 337°30'00" NNW
31.50 354°22'12" N½W
31.50 354°22'47" N½W
</pre>
=={{header|Tcl}}==
<
set dirs {
N NbE N-NE NEbN NE NEbE E-NE EbN E EbS E-SE SEbE SE SEbS S-SE SbE
S SbW S-SW SWbS SW SWbW W-SW WbS W WbN W-NW NWbW NW NWbN N-NW NbW
}
set unpack {N "north" E "east" W "west" S "south" b " by "}
# Compute the width of each compass segment
Line 314 ⟶ 7,435:
set dir [expr {round((fmod($angle + $sep/2, 360) - $sep/2) / $sep)}]
# Convert to a named direction, capitalized as in the wikipedia article
return [string totitle [string map $unpack [lindex $dirs $dir]]]
}
# Box the compass, using the variable generation algorithm described
for {set i 0} {$i < 33} {incr i} {
set heading [expr {$i * 11.25}]
Line 323 ⟶ 7,445:
if {$i % 3 == 2} {set heading [expr {$heading - 5.62}]}
set index [expr {$i % 32 + 1}]
# Pretty-print the results of converting an angle to a compass heading
puts [format "%2i %-18s %7.2f°" $index [angle2compass $heading] $heading]
}</
Output:
<pre>
Line 361 ⟶ 7,485:
1 North 354.38°
</pre>
=={{header|True BASIC}}==
{{trans|QBasic}}
<syntaxhighlight lang="qbasic">DIM point$(32)
FUNCTION compasspoint$ (h)
LET x = h / 11.25 + 1.5
IF (x >= 33) THEN LET x = x - 32
LET compasspoint$ = point$(INT(x))
END FUNCTION
RESTORE
DATA "North ", "North by east ", "North-northeast ", "Northeast by north"
DATA "Northeast ", "Northeast by east ", "East-northeast ", "East by north "
DATA "East ", "East by south ", "East-southeast ", "Southeast by east "
DATA "Southeast ", "Southeast by south", "South-southeast ", "South by east "
DATA "South ", "South by west ", "South-southwest ", "Southwest by south"
DATA "Southwest ", "Southwest by west ", "West-southwest ", "West by south "
DATA "West ", "West by north ", "West-northwest ", "Northwest by west "
DATA "Northwest ", "Northwest by north", "North-northwest ", "North by west "
FOR i = 1 TO 32
READ d$
LET point$(i) = d$
NEXT i
FOR i = 0 TO 32
LET heading = i * 11.25
IF REMAINDER(i, 3) = 1 THEN
LET heading = heading + 5.62
ELSE
IF REMAINDER(i, 3) = 2 THEN LET heading = heading - 5.62
END IF
LET ind = REMAINDER(i, 32) + 1
PRINT ind, compasspoint$(heading), heading
NEXT i
END</syntaxhighlight>
=={{header|uBasic/4tH}}==
{{trans|C}}
Since uBasic is an integer interpreter, we have to do some scaling to perform this task.
<syntaxhighlight lang="text">Push 0, 1687, 1688, 3375, 5062, 5063, 6750, 8437, 8438, 10125, 11812, 11813
Push 13500, 15187, 15188, 16875, 18562, 18563, 20250, 21937, 21938, 23625
Push 25312, 25313, 27000, 28687, 28688, 30375, 32062, 32063, 33750, 35437
Push 35438 ' Use the stack as a DATA statement
For x = 32 To 0 Step -1 ' Now read the values, but reverse
@(x) = Pop() ' Since the last value is on top
Next ' of the data stack
For x = 0 To 32 ' Here comes the payload
j = ((@(x) * 32 / 3600) + 5) / 10 ' Scale by ten, then correct
Print Using "_#";(j % 32) + 1;" "; ' Print heading
GoSub 100 + ((j % 32) * 10) ' Now get the compass point
Print Using "__#.##"; @(x) ' Finally, print the angle
' which is scaled by 100
Next
End
' All compass points
100 Print "North "; : Return
110 Print "North by east "; : Return
120 Print "North-northeast "; : Return
130 Print "Northeast by north "; : Return
140 Print "Northeast "; : Return
150 Print "Northeast by east "; : Return
160 Print "East-northeast "; : Return
170 Print "East by north "; : Return
180 Print "East "; : Return
190 Print "East by south "; : Return
200 Print "East-southeast "; : Return
210 Print "Southeast by east "; : Return
220 Print "Southeast "; : Return
230 Print "Southeast by south "; : Return
240 Print "South-southeast "; : Return
250 Print "South by east "; : Return
260 Print "South "; : Return
270 Print "South by west "; : Return
280 Print "South-southwest "; : Return
290 Print "Southwest by south "; : Return
300 Print "Southwest "; : Return
310 Print "Southwest by west "; : Return
320 Print "West-southwest "; : Return
330 Print "West by south "; : Return
340 Print "West "; : Return
350 Print "West by north "; : Return
360 Print "West-northwest "; : Return
370 Print "Northwest by west "; : Return
380 Print "Northwest "; : Return
390 Print "Northwest by north "; : Return
400 Print "North-northwest "; : Return
410 Print "North by west "; : Return
420 Print "North "; : Return</syntaxhighlight>
{{out}}
<pre>
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
0 OK, 0:900
</pre>
=={{header|UNIX Shell}}==
{{works with|Bourne Again SHell}}
{{trans|Logo}}
Requires the standard POSIX bc(1) command to perform floating-point arithmetic.
<syntaxhighlight lang="sh"># 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() {
printf '%s%s\n' "$(tr a-z A-Z <<<"${1:0:1}")" "${1:1}"
}
# convert compass point abbreviation to full text of label
function expand_point {
local label=$1
set -- N north E east S south W west b " by "
while (( $# )); do
label=${label//$1/$2}
shift 2
done
capitalize "$label"
}
# modulus function that returns 1..N instead of 0..N-1
function amod {
echo $(( ($1 - 1) % $2 + 1 ))
}
# convert a compass angle from degrees into a box index (1..32)
function compass_point {
# use bc or dc depending on what's on the system
#amod $(dc <<<"$1 5.625 + 11.25 / 1 + p") 32
amod $(bc <<<"($1 + 5.625) / 11.25 + 1") 32
}
# Now output the table of test data
header_format="%-7s | %-18s | %s\n"
row_format="%7.2f | %-18s | %2d\n"
printf "$header_format" "Degrees" "Closest Point" "Index"
for angle in ${test_angles[@]}; do
let index=$(compass_point $angle)
abbr=${compass_points[index-1]}
label="$(expand_point $abbr)"
printf "$row_format" $angle "$label" $index
done</syntaxhighlight>
Output: <pre>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
</pre>
=={{header|VBA}}==
<syntaxhighlight lang="vb">Public Sub box_the_compass()
Dim compass_point As Integer
Dim compass_points_all As New Collection
Dim test_points_all As New Collection
Dim compass_points(8) As Variant
Dim test_points(3) As Variant
compass_points(1) = [{ "North", "North by east", "North-northeast", "Northeast by north"}]
compass_points(2) = [{ "Northeast", "Northeast by east", "East-northeast", "East by north"}]
compass_points(3) = [{ "East", "East by south", "East-southeast", "Southeast by east"}]
compass_points(4) = [{ "Southeast", "Southeast by south", "South-southeast", "South by east"}]
compass_points(5) = [{ "South", "South by west", "South-southwest", "Southwest by south"}]
compass_points(6) = [{ "Southwest", "Southwest by west", "West-southwest", "West by south"}]
compass_points(7) = [{ "West", "West by north", "West-northwest", "Northwest by west"}]
compass_points(8) = [{ "Northwest", "Northwest by north", "North-northwest", "North by west"}]
test_points(1) = [{ 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12}]
test_points(2) = [{ 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25}]
test_points(3) = [{ 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38}]
For i = 1 To 3
For Each t In test_points(i)
test_points_all.Add t
Next t
Next i
For i = 1 To 8
For Each c In compass_points(i)
compass_points_all.Add c
Next c
Next i
For i = 1 To test_points_all.Count
compass_point = (WorksheetFunction.Floor(test_points_all(i) * 32 / 360 + 0.5, 1) Mod 32) + 1
Debug.Print Format(compass_point, "@@"); " "; compass_points_all(compass_point);
Debug.Print String$(20 - Len(compass_points_all(compass_point)), " ");
Debug.Print test_points_all(i)
Next i
End Sub</syntaxhighlight>{{out}}
<pre> 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 </pre>
=={{header|Visual Basic .NET}}==
<
Dim _points(32) As String
Line 410 ⟶ 7,824:
End Function
End Module
</syntaxhighlight>
Output:
<pre>
Line 447 ⟶ 7,861:
1: North 354.38°
</pre>
=={{header|Wren}}==
{{trans|Go}}
{{libheader|Wren-fmt}}
<syntaxhighlight lang="wren">import "./fmt" for Fmt
// '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.
var cpx = Fn.new { |h|
var x = (h/11.25+0.5).floor % 32
if (x < 0) x = x + 32
return x
}
// printable compass points
var 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"
]
// function required by task
var degreesToCompassPoint = Fn.new { |h| compassPoint[cpx.call(h)] }
var 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
]
System.print("Index Compass point Degree")
var i = 0
for (h in r) {
var index = i%32 + 1 // printable index computed per pseudocode
var d = degreesToCompassPoint.call(h)
Fmt.print("$4d $-19s $7.2f°", index, d, h)
i = i + 1
}</syntaxhighlight>
{{out}}
<pre>
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°
</pre>
=={{header|XPL0}}==
<syntaxhighlight lang "XPL0">func Deg2Index(Heading); \Return index from heading in degrees
real Heading;
def Sector = 360./32.;
return (fix(Heading/Sector) & $1F) + 1;
real Headings;
int CompassPoint, H, Index;
[Headings:= [
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];
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"];
Text(0, "Index Heading Compass Point^m^j");
for H:= 0 to 33-1 do
[Index:= Deg2Index(Headings(H));
Format(3,0);
RlOut(0, float(Index));
Format(7,2);
RlOut(0, Headings(H));
Text(0, " ");
Text(0, CompassPoint(Index-1));
CrLf(0);
];
]</syntaxhighlight>
{{out}}
<pre>
Index Heading 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
</pre>
=={{header|Yabasic}}==
{{trans|Liberty BASIC}}
<syntaxhighlight lang="yabasic">
dim point$(32)
for i =1 to 32
read point$(i)
next i
print "Index\tClosest Point\t\tDegrees"
print "=====\t=============\t\t======="
for i = 0 to 32
heading = i *11.25
resto=mod(i,3)
if resto=1 then
heading = heading +5.62
elseif resto=2 then
heading = heading -5.62
end if
ind = mod(i,32)+1
print ind,"\t",compasspoint$( heading),"\t",heading
next i
end
sub compasspoint$(h)
x = h / 11.25 + 1.5
if (x >= 33.0) x = x - 32.0
return point$(int(x))
end sub
10 data "North ", "North by east ", "North-northeast "
20 data "Northeast by north", "Northeast ", "Northeast by east ", "East-northeast "
30 data "East by north ", "East ", "East by south ", "East-southeast "
40 data "Southeast by east ", "Southeast ", "Southeast by south", "South-southeast "
50 data "South by east ", "South ", "South by west ", "South-southwest "
60 data "Southwest by south", "Southwest ", "Southwest by west ", "West-southwest "
70 data "West by south ", "West ", "West by north ", "West-northwest "
80 data "Northwest by west ", "Northwest ", "Northwest by north", "North-northwest "
90 data "North by west "</syntaxhighlight>
=={{header|Zig}}==
{{works with|Zig|0.11.0}}
<syntaxhighlight lang="zig">const std = @import("std");</syntaxhighlight>
<syntaxhighlight lang="zig">/// Degrees is not constrained to the range 0 to 360
fn degreesToCompassPoint(degrees: f32) []const u8 {
var d = degrees + comptime (11.25 / 2.0);
while (d < 0) d += 360;
while (d >= 360) d -= 360;
const index: usize = @intFromFloat(@divFloor(d, 11.25));
const points: [32][]const u8 = comptime .{
"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",
};
return points[index];
}</syntaxhighlight>
<syntaxhighlight lang="zig">pub fn main() anyerror!void {
const stdout = std.io.getStdOut().writer();
try stdout.print("Index Heading Compass point\n", .{});
for (0..33) |i| {
var heading = @as(f32, @floatFromInt(i)) * 11.25;
heading += switch (i % 3) {
1 => 5.62,
2 => -5.62,
else => 0,
};
const index = i % 32 + 1;
try stdout.print(" {d:2} {d:>6.2}° {s}\n", .{ index, heading, degreesToCompassPoint(heading) });
}
}</syntaxhighlight>
{{out}}
<pre>Index Heading Compass point
1 0.00° North
2 16.87° North by east
3 16.88° Northeast
...
31 337.50° Northwest
32 354.37° North by west
1 354.38° North</pre>
=={{header|zkl}}==
{{trans|AWK}}
<syntaxhighlight lang="zkl">A:=("X N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE " // one based array
"SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW "
"WSW WbS W WbN WNW NWbW NW NWbN NNW NbW").split(" ");
fcn compassBox(d){
return(( ( (d + 360.0 / 64.0) % 360.0) * 32.0 / 360.0).ceil());
}
foreach i in ([0..32]){
heading:=11.25*i;
switch(i%3){ // or heading+=5.62*((i+1).divr(3)[1]-1);
case(1){ heading+=5.62 }
case(2){ heading-=5.62 }
}
box:=compassBox(heading);
println("%6.2f\UB0; : %2d\t%s".fmt(heading,box,A[box]));
}</syntaxhighlight>
{{out}}
<pre>
0.00 : 1 N
16.87 : 2 NbE
16.88 : 3 NNE
33.75 : 4 NEbN
50.62 : 5 NE
... same as AWK output
337.50 : 31 NNW
354.37 : 32 NbW
354.38 : 1 N
</pre>
=={{header|ZX Spectrum Basic}}==
{{trans|Liberty BASIC}}
<syntaxhighlight lang="zxbasic">10 DATA "North","North by east","North-northeast"
20 DATA "Northeast by north","Northeast","Northeast by east","East-northeast"
30 DATA "East by north","East","East by south","East-southeast"
40 DATA "Southeast by east","Southeast","Southeast by south","South-southeast"
50 DATA "South by east","South","South by west","South-southwest"
60 DATA "Southwest by south","Southwest","Southwest by west","West-southwest"
70 DATA "West by south","West","West by north","West-northwest"
80 DATA "Northwest by west","Northwest","Northwest by north","North-northwest"
90 DATA "North by west"
100 DIM p$(32,18)
110 FOR i=1 TO 32
120 READ p$(i)
130 NEXT i
140 FOR i=0 TO 32
150 LET h=i*11.25
160 LET r=FN m(i,3)
170 IF r=1 THEN LET h=h+5.62: GO TO 190
180 IF r=2 THEN LET h=h-5.62
190 LET ind=FN m(i,32)+1
200 PRINT ind;TAB 4;
210 LET x=h/11.25+1.5
220 IF x>=33 THEN LET x=x-32
230 PRINT p$(INT x);TAB 25;h
240 NEXT i
250 STOP
260 DEF FN m(i,n)=((i/n)-INT (i/n))*n : REM modulus function
</syntaxhighlight>
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