TaskAvast me hearties!
There be many a [http://talklikeapirate.com/wordpress/how-to/ land lubber] that knows [https://dictionary.cambridge.org/dictionary/english/naught naught] of the pirate ways and gives direction by degree! 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.
Use the function to print and display a table of Index, Compass point, and Degree; rather like the corresponding columns from, the first table of the [[wp:Boxing the compass|wikipedia article]], but use only the following 33 headings as input:
:[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]. (They should give the same order of points but are spread throughout the ranges of acceptance).
;Notes;
- The headings and indices can be calculated from this pseudocode:
for i in 0..32 inclusive:
heading = i * 11.25
case i %3:
if 1: heading += 5.62; break
if 2: heading -= 5.62; break
end
index = ( i mod 32) + 1
- The column of indices can be thought of as an enumeration of the thirty two cardinal points (see [[Talk:Box the compass#Direction, index, and angle|talk page]])..
11l
{{trans|Python}}
V majors = ‘north east south west’.split(‘ ’)
majors *= 2
V quarter1 = ‘N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N’.split(‘,’)
V quarter2 = quarter1.map(p -> p.replace(‘NE’, ‘EN’))
F degrees2compasspoint(=d)
d = (d % 360) + 360 / 64
V majorindex = Int(d / 90)
V minorindex = Int((d % 90 * 4) I/ 45)
V p1 = :majors[majorindex]
V p2 = :majors[majorindex + 1]
[String] q
I p1 C (‘north’, ‘south’)
q = :quarter1
E
q = :quarter2
R q[minorindex].replace(‘N’, p1).replace(‘E’, p2).capitalize()
:start:
L(i) 33
V d = i * 11.25
S i % 3
1
d += 5.62
2
d -= 5.62
V n = i % 32 + 1
print(‘#2.0 #<18 #4.2°’.format(n, degrees2compasspoint(d), d))
{{out}}
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°
Ada
Inspired by [[#C++|the C++ program]], but without the need for a specific library.
with Ada.Text_IO;
procedure Box_The_Compass is
type Degrees is digits 5 range 0.00 .. 359.99;
type Index_Type is mod 32;
function Long_Name(Short: String) return String is
function Char_To_Name(Char: Character) return String is
begin
case Char is
when 'N' | 'n' => return Char & "orth";
when 'S' | 's' => return Char & "outh";
when 'E' | 'e' => return Char & "ast";
when 'W' | 'w' => return Char & "est";
when 'b' => return " by ";
when '-' => return "-";
when others => raise Constraint_Error;
end case;
end Char_To_Name;
begin
if Short'Length = 0 or else Short(Short'First)=' ' then
return "";
else
return Char_To_Name(Short(Short'First))
& Long_Name(Short(Short'First+1 .. Short'Last));
end if;
end Long_Name;
procedure Put_Line(Angle: Degrees) is
function Index(D: Degrees) return Index_Type is
begin
return Index_Type(Integer(Degrees'Rounding(D/11.25)) mod 32);
end Index;
I: Integer := Integer(Index(Angle))+1;
package DIO is new Ada.Text_IO.Float_IO(Degrees);
Abbr: constant array(Index_Type) of String(1 .. 4)
:= ("N ", "Nbe ", "N-ne", "Nebn", "Ne ", "Nebe", "E-ne", "Ebn ",
"E ", "Ebs ", "E-se", "Sebe", "Se ", "Sebs", "S-se", "Sbe ",
"S ", "Sbw ", "S-sw", "Swbs", "Sw ", "Swbw", "W-sw", "Wbs ",
"W ", "Wbn ", "W-nw", "Nwbw", "Nw ", "Nwbn", "N-nw", "Nbw ");
begin
DIO.Put(Angle, Fore => 3, Aft => 2, Exp => 0); -- format "zzx.xx"
Ada.Text_IO.Put(" |");
if I <= 9 then
Ada.Text_IO.Put(" ");
end if;
Ada.Text_IO.Put_Line(" " & Integer'Image(I) & " | "
& Long_Name(Abbr(Index(Angle))));
end Put_Line;
Difference: constant array(0..2) of Degrees'Base
:= (0=> 0.0, 1=> +5.62, 2=> - 5.62);
begin
Ada.Text_IO.Put_Line(" angle | box | compass point");
Ada.Text_IO.Put_Line(" ---------------------------------");
for I in 0 .. 32 loop
Put_Line(Degrees(Degrees'Base(I) * 11.25 + Difference(I mod 3)));
end loop;
end Box_The_Compass;
Output:
angle | box | compass point
---------------------------------
0.00 | 1 | North
16.87 | 2 | North by east
16.88 | 3 | North-northeast
33.75 | 4 | Northeast by north
50.62 | 5 | Northeast
50.63 | 6 | Northeast by east
67.50 | 7 | East-northeast
84.37 | 8 | East by north
84.38 | 9 | East
101.25 | 10 | East by south
118.12 | 11 | East-southeast
118.13 | 12 | Southeast by east
135.00 | 13 | Southeast
151.87 | 14 | Southeast by south
151.88 | 15 | South-southeast
168.75 | 16 | South by east
185.62 | 17 | South
185.63 | 18 | South by west
202.50 | 19 | South-southwest
219.37 | 20 | Southwest by south
219.38 | 21 | Southwest
236.25 | 22 | Southwest by west
253.12 | 23 | West-southwest
253.13 | 24 | West by south
270.00 | 25 | West
286.87 | 26 | West by north
286.88 | 27 | West-northwest
303.75 | 28 | Northwest by west
320.62 | 29 | Northwest
320.63 | 30 | Northwest by north
337.50 | 31 | North-northwest
354.37 | 32 | North by west
354.38 | 1 | North
ALGOL 68
{{works with|ALGOL 68|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''.}}
#!/usr/local/bin/a68g --script #
[]STRING
long by nesw = (" by ", "North", "East", "South", "West"),
short by nesw = ("b", "N", "E", "S", "W");
MODE MINUTES = REAL; # minutes type #
INT last minute=360*60;
INT point width=last minute OVER 32;
PROC direction name = (REAL direction in minutes, []STRING locale directions)STRING: (
STRING by = locale directions[1];
[]STRING nesw = locale directions[@-1];
PRIO MASK = 7; # same PRIOrity as * and / #
OP MASK = (INT n, BITS lower)INT: ABS (BIN n AND NOT lower),
DECAP = (STRING s)STRING: IF UPB s > 1 THEN REPR (ABS s[1]-ABS "A"+ABS "a")+s[2:] ELSE s FI;
PROC point name = (INT in point)STRING: (
INT point = in point MOD 32 # 32 points of a compass #;
IF point MOD 8 = 0 THEN
# name the principle point: eg. N, E, S or W #
nesw[point OVER 8]
ELIF point MOD 4 = 0 THEN
# name the half: eg. NE, SE, SW or NW #
point name((point+8)MASK 2r1111)+DECAP point name(point MASK 2r1111 + 8)
ELIF point MOD 2 = 0 THEN
# name the quarter: eg. N-NE, E-NE, E-SE, S-SE, S-SW, W-SW, W-NW or N-NW #
point name((point+4)MASK 2r111)+"-"+point name(point MASK 2r111 + 4)
ELSE # Name the sixteenth point: #
# eg. NbE,NEbN,NEbE,EbN,EbS,SEbE,SEbS,SbE,SbW,SWbS,SWbW,WbS,WbN,NWbW,NWbN,NbW #
INT opp point = point OVER 8 + ABS NOT ODD (point OVER 2);
point name((point+2)MASK 2r11)+ by +nesw(opp point MOD 4)
FI
);
point name(ROUND(direction in minutes/point width))
);
PROC traditional name = (MINUTES minutes)STRING: (
INT degrees = ROUND(minutes / 60);
degrees=0 |"Tramontana" |:
degrees=45 |"Greco or Bora" |:
degrees=90 |"Levante" |:
degrees=135|"Sirocco" |:
degrees=180|"Ostro" |:
degrees=225|"Libeccio" |:
degrees=270|"Poniente or Zephyrus"|:
degrees=315|"Mistral" |:
degrees=360|"Tramontana" |""
);
# First generate the test set results #
test:(
printf($"Test:"l$);
FOR i FROM 0 TO 32 DO
REAL heading = i * 11.25 +
CASE i MOD 3 IN
+5.62,
-5.62
OUT 0
ESAC;
INT index = ( i MOD 32) + 1;
printf(($zd" ", g23k, zzd.zzl$, index , direction name(heading*60, long by nesw), heading))
OD
);
table:(
OP OVER = (REAL r, INT base)INT: ENTIER ABS r OVER base,
MOD = (REAL r, INT base)REAL: ( INT i = ENTIER r; i MOD base + r - i);
printf(
$l"Table:"l
" #|Compass point"22k"|Abbr|Traditional wind point| Lowest°′ | Middle°′ | Highest°′"l$
);
OP DEGMIN = (REAL minutes)STRUCT(INT d, REAL m): (minutes MOD last minute OVER 60, minutes MOD 60);
FOR point FROM 1 TO 32 DO
REAL centre = (point-1) * point width;
REAL from = centre - point width/2,
to = centre + point width/2-1/120;
printf((
$g(-2)"|"$, point,
$g$, direction name(centre, long by nesw),
$22k"|"g$, direction name(centre, short by nesw),
$27k"|"g$, traditional name(centre),
$50k$, $"|"g(-3)"°", dd.dd"′"$, DEGMIN from, DEGMIN centre, DEGMIN to,
$l$
))
OD
)
Output:
Test:
1 North 0.00
2 North by East 16.87
3 North-Northeast 16.88
4 Northeast by North 33.75
5 Northeast 50.62
6 Northeast by East 50.63
7 East-Northeast 67.50
8 East by North 84.37
9 East 84.38
10 East by South 101.25
11 East-Southeast 118.12
12 Southeast by East 118.13
13 Southeast 135.00
14 Southeast by South 151.87
15 South-Southeast 151.88
16 South by East 168.75
17 South 185.62
18 South by West 185.63
19 South-Southwest 202.50
20 Southwest by South 219.37
21 Southwest 219.38
22 Southwest by West 236.25
23 West-Southwest 253.12
24 West by South 253.13
25 West 270.00
26 West by North 286.87
27 West-Northwest 286.88
28 Northwest by West 303.75
29 Northwest 320.62
30 Northwest by North 320.63
31 North-Northwest 337.50
32 North by West 354.37
1 North 354.38
Table:
#|Compass point |Abbr|Traditional wind point| Lowest°′ | Middle°′ | Highest°′
1|North |N |Tramontana |354°22.50′| 0°00.00′| 5°37.49′
2|North by East |NbE | | 5°37.50′| 11°15.00′| 16°52.49′
3|North-Northeast |N-NE| | 16°52.50′| 22°30.00′| 28°07.49′
4|Northeast by North|NEbN| | 28°07.50′| 33°45.00′| 39°22.49′
5|Northeast |NE |Greco or Bora | 39°22.50′| 45°00.00′| 50°37.49′
6|Northeast by East |NEbE| | 50°37.50′| 56°15.00′| 61°52.49′
7|East-Northeast |E-NE| | 61°52.50′| 67°30.00′| 73°07.49′
8|East by North |EbN | | 73°07.50′| 78°45.00′| 84°22.49′
9|East |E |Levante | 84°22.50′| 90°00.00′| 95°37.49′
10|East by South |EbS | | 95°37.50′|101°15.00′|106°52.49′
11|East-Southeast |E-SE| |106°52.50′|112°30.00′|118°07.49′
12|Southeast by East |SEbE| |118°07.50′|123°45.00′|129°22.49′
13|Southeast |SE |Sirocco |129°22.50′|135°00.00′|140°37.49′
14|Southeast by South|SEbS| |140°37.50′|146°15.00′|151°52.49′
15|South-Southeast |S-SE| |151°52.50′|157°30.00′|163°07.49′
16|South by East |SbE | |163°07.50′|168°45.00′|174°22.49′
17|South |S |Ostro |174°22.50′|180°00.00′|185°37.49′
18|South by West |SbW | |185°37.50′|191°15.00′|196°52.49′
19|South-Southwest |S-SW| |196°52.50′|202°30.00′|208°07.49′
20|Southwest by South|SWbS| |208°07.50′|213°45.00′|219°22.49′
21|Southwest |SW |Libeccio |219°22.50′|225°00.00′|230°37.49′
22|Southwest by West |SWbW| |230°37.50′|236°15.00′|241°52.49′
23|West-Southwest |W-SW| |241°52.50′|247°30.00′|253°07.49′
24|West by South |WbS | |253°07.50′|258°45.00′|264°22.49′
25|West |W |Poniente or Zephyrus |264°22.50′|270°00.00′|275°37.49′
26|West by North |WbN | |275°37.50′|281°15.00′|286°52.49′
27|West-Northwest |W-NW| |286°52.50′|292°30.00′|298°07.49′
28|Northwest by West |NWbW| |298°07.50′|303°45.00′|309°22.49′
29|Northwest |NW |Mistral |309°22.50′|315°00.00′|320°37.49′
30|Northwest by North|NWbN| |320°37.50′|326°15.00′|331°52.49′
31|North-Northwest |N-NW| |331°52.50′|337°30.00′|343°07.49′
32|North by West |NbW | |343°07.50′|348°45.00′|354°22.49′
AppleScript
OS X Yosemite onwards (uses Foundation classes for record handling etc)
{{Trans|JavaScript}} (ES6 version)
Functional composition, allowing for additional languages, and different numbers of compass points – see the test section)
use framework "Foundation"
use scripting additions
-- BOXING THE COMPASS --------------------------------------------------------
property plstLangs : [{|name|:"English"} & ¬
{expansions:{N:"north", S:"south", E:"east", W:"west", b:" by "}} & ¬
{|N|:"N", |NNNE|:"NbE", |NNE|:"N-NE", |NNENE|:"NEbN", |NE|:"NE", |NENEE|:"NEbE"} & ¬
{|NEE|:"E-NE", |NEEE|:"EbN", |E|:"E", |EEES|:"EbS", |EES|:"E-SE", |EESES|:"SEbE"} & ¬
{|ES|:"SE", |ESESS|:"SEbS", |ESS|:"S-SE", |ESSS|:"SbE", |S|:"S", |SSSW|:"SbW"} & ¬
{|SSW|:"S-SW", |SSWSW|:"SWbS", |SW|:"SW", |SWSWW|:"SWbW", |SWW|:"W-SW"} & ¬
{|SWWW|:"WbS", |W|:"W", |WWWN|:"WbN", |WWN|:"W-NW", |WWNWN|:"NWbW"} & ¬
{|WN|:"NW", |WNWNN|:"NWbN", |WNN|:"N-NW", |WNNN|:"NbW"}, ¬
¬
{|name|:"Chinese", |N|:"北", |NNNE|:"北微东", |NNE|:"东北偏北"} & ¬
{|NNENE|:"东北微北", |NE|:"东北", |NENEE|:"东北微东", |NEE|:"东北偏东"} & ¬
{|NEEE|:"东微北", |E|:"东", |EEES|:"东微南", |EES|:"东南偏东", |EESES|:"东南微东"} & ¬
{|ES|:"东南", |ESESS|:"东南微南", |ESS|:"东南偏南", |ESSS|:"南微东", |S|:"南"} & ¬
{|SSSW|:"南微西", |SSW|:"西南偏南", |SSWSW|:"西南微南", |SW|:"西南"} & ¬
{|SWSWW|:"西南微西", |SWW|:"西南偏西", |SWWW|:"西微南", |W|:"西"} & ¬
{|WWWN|:"西微北", |WWN|:"西北偏西", |WWNWN|:"西北微西", |WN|:"西北"} & ¬
{|WNWNN|:"西北微北", |WNN|:"西北偏北", |WNNN|:"北微西"}]
-- Scale invariant keys for points of the compass
-- (allows us to look up a translation for one scale of compass (32 here)
-- for use in another size of compass (8 or 16 points)
-- (Also semi-serviceable as more or less legible keys without translation)
-- compassKeys :: Int -> [String]
on compassKeys(intDepth)
-- Simplest compass divides into two hemispheres
-- with one peak of ambiguity to the left,
-- and one to the right (encoded by the commas in this list):
set urCompass to ["N", "S", "N"]
-- Necessity drives recursive subdivision of broader directions, shrinking
-- boxes down to a workable level of precision:
script subdivision
on |λ|(lstCompass, N)
if N ≤ 1 then
lstCompass
else
script subKeys
on |λ|(a, x, i, xs)
-- Borders between N and S engender E and W.
-- further subdivisions (boxes)
-- concatenate their two parent keys.
if i > 1 then
cond(N = intDepth, ¬
a & {cond(x = "N", "W", "E")} & x, ¬
a & {item (i - 1) of xs & x} & x)
else
a & x
end if
end |λ|
end script
|λ|(foldl(subKeys, {}, lstCompass), N - 1)
end if
end |λ|
end script
tell subdivision to items 1 thru -2 of |λ|(urCompass, intDepth)
end compassKeys
-- pointIndex :: Int -> Num -> 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
{{Out}}
1 0.00° North 北
2 16.87° North by east 北微东
3 16.88° North-northeast 东北偏北
4 33.75° Northeast by north 东北微北
5 50.62° Northeast 东北
6 50.63° Northeast by east 东北微东
7 67.50° East-northeast 东北偏东
8 84.37° East by north 东微北
9 84.38° East 东
10 101.25° East by south 东微南
11 118.12° East-southeast 东南偏东
12 118.13° Southeast by east 东南微东
13 135.00° Southeast 东南
14 151.87° Southeast by south 东南微南
15 151.88° South-southeast 东南偏南
16 168.75° South by east 南微东
17 185.62° South 南
18 185.63° South by west 南微西
19 202.50° South-southwest 西南偏南
20 219.37° Southwest by south 西南微南
21 219.38° Southwest 西南
22 236.25° Southwest by west 西南微西
23 253.12° West-southwest 西南偏西
24 253.13° West by south 西微南
25 270.00° West 西
26 286.87° West by north 西微北
27 286.88° West-northwest 西北偏西
28 303.75° Northwest by west 西北微西
29 320.62° Northwest 西北
30 320.63° Northwest by north 西北微北
31 337.50° North-northwest 西北偏北
32 354.37° North by west 北微西
1 354.38° North 北
AutoHotkey
{{trans|C++}} {{works with|AutoHotkey_L}}
get_Index(angle){
return Mod(floor(angle / 11.25 +0.5), 32) + 1
}
get_Abbr_From_Index(i){
static points
:= [ "N", "NbE", "NNE", "NEbN", "NE", "NEbE", "ENE", "EbN"
,"E", "EbS", "ESE", "SEbE", "SE", "SEbS", "SSE", "SbE"
,"S", "SbW", "SSW", "SWbS", "SW", "SWbW", "WSW", "WbS"
,"W", "WbN", "WNW", "NWbW", "NW", "NWbN", "NNW", "NbW" ]
return points[i]
}
Build_Name_From_Abbr(a){
Loop Parse, a
{
i := A_Index
if ((i = 2) && (SubStr(a, i, 1) != "b") && (StrLen(a) == 3))
retval .= "-"
retval .= {N: "north", S: "south", E: "east"
, W: "west" , b: " by "}[A_LoopField]
}
return Chr(Asc(SubStr(retval, 1, 1))-32) . SubStr(retval, 2)
}
; test
headings:= [0.00, 16.87, 16.88, 33.75, 50.62, 50.63, 67.50, 84.37, 84.38, 101.25
, 118.12, 118.13, 135.00, 151.87, 151.88, 168.75, 185.62, 185.63
, 202.50, 219.37, 219.38, 236.25, 253.12, 253.13, 270.00, 286.87
, 286.88, 303.75, 320.62, 320.63, 337.50, 354.37, 354.38]
For n, a in headings
{
i := get_Index(a)
out .= SubStr(" " i, -1) " "
. SubStr(Build_Name_From_Abbr(get_Abbr_From_Index(i))
. " ", 1, 24) . SubStr(" " a, -5) . "`r`n" ;
}
clipboard := out
;Output
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
AutoIt
Local $avArray[33] = [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, _
151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, _
303.75, 320.62, 320.63, 337.5, 354.37, 354.38]
For $i = 0 To UBound($avArray) - 1
Boxing_the_compass($avArray[$i])
Next
Func Boxing_the_compass($Degree)
Local $namearray[33] = ["North", "North by east", "North-northeast", "Northeast by north", "Northeast", _
"Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast", _
"Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South", _
"South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest", _
"West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north", _
"North-northwest", "North by west", "North"]
ConsoleWrite(StringFormat("%-2s", Mod(Floor($Degree / 11.25 + 0.5), 32)) & " : " & _
StringFormat("%-20s", $namearray[Mod(Floor($Degree / 11.25 + 0.5), 32)]) & " : " & $Degree & @CRLF)
EndFunc ;==>Boxing_the_compass
Output :
0 : North : 0
1 : North by east : 16.87
2 : North-northeast : 16.88
3 : Northeast by north : 33.75
4 : Northeast : 50.62
5 : Northeast by east : 50.63
6 : East-northeast : 67.5
7 : East by north : 84.37
8 : East : 84.38
9 : East by south : 101.25
10 : East-southeast : 118.12
11 : Southeast by east : 118.13
12 : Southeast : 135
13 : Southeast by south : 151.87
14 : South-southeast : 151.88
15 : South by east : 168.75
16 : South : 185.62
17 : South by west : 185.63
18 : South-southwest : 202.5
19 : Southwest by south : 219.37
20 : Southwest : 219.38
21 : Southwest by west : 236.25
22 : West-southwest : 253.12
23 : West by south : 253.13
24 : West : 270
25 : West by north : 286.87
26 : West-northwest : 286.88
27 : Northwest by west : 303.75
28 : Northwest : 320.62
29 : Northwest by north : 320.63
30 : North-northwest : 337.5
31 : North by west : 354.37
0 : North : 354.38
AWK
#!/usr/bin/awk -f
BEGIN {
split("N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW WSW WbS W WbN WNW NWbW NW NWbN NNW NbW",A," ");
}
function ceil(x) {
y = int(x)
return y < x ? y + 1 : y
}
function compassbox(d) {
return ceil( ( (d + 360 / 64) % 360) * 32 / 360);
}
{
box = compassbox($1);
printf "%6.2f : %2d\t%s\n",$1,box,A[box];
}
Output:
0.00 : 1 N
16.87 : 2 NbE
16.88 : 3 NNE
33.75 : 4 NEbN
50.62 : 5 NE
50.63 : 6 NEbE
67.50 : 7 ENE
84.37 : 8 EbN
84.38 : 9 E
101.25 : 10 EbS
118.12 : 11 ESE
118.13 : 12 SEbE
135.00 : 13 SE
151.87 : 14 SEbS
151.88 : 15 SSE
168.75 : 16 SbE
185.62 : 17 S
185.63 : 18 SbW
202.50 : 19 SSW
219.37 : 20 SWbS
219.38 : 21 SW
236.25 : 22 SWbW
253.12 : 23 WSW
253.13 : 24 WbS
270.00 : 25 W
286.87 : 26 WbN
286.88 : 27 WNW
303.75 : 28 NWbW
320.62 : 29 NW
320.63 : 30 NWbN
337.50 : 31 NNW
354.37 : 32 NbW
354.38 : 1 N
BBC BASIC
{{works with|BBC BASIC for Windows}}
DIM bearing(32)
bearing() = 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, \
\ 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, \
\ 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, \
\ 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38
FOR i% = 0 TO 32
box% = FNcompassbox(bearing(i%), compass$)
PRINT ; bearing(i%), ; box%, compass$
NEXT
END
DEF FNcompassbox(bearing, RETURN box$)
LOCAL pt%
pt% = INT(bearing / 360 * 32 + 0.5) MOD 32
box$ = FNpt(pt%)
LEFT$(box$,1) = CHR$(ASC(LEFT$(box$,1))-32)
= pt% + 1
DEF FNpt(pt%)
LOCAL pt$() : DIM pt$(3)
IF pt% AND 1 THEN = FNpt((pt% + 1) AND 28) + " by " + \
\ FNpt(((2 - (pt% AND 2)) * 4) + pt% AND 24)
IF pt% AND 2 THEN = FNpt((pt% + 2) AND 24) + "-" + FNpt((pt% OR 4) AND 28)
IF pt% AND 4 THEN = FNpt((pt% + 8) AND 16) + FNpt((pt% OR 8) AND 24)
pt$() = "north", "east", "south", "west"
= pt$(pt% DIV 8)
Output:
0 1 North
16.87 2 North by east
16.88 3 North-northeast
33.75 4 Northeast by north
50.62 5 Northeast
50.63 6 Northeast by east
67.5 7 East-northeast
84.37 8 East by north
84.38 9 East
101.25 10 East by south
118.12 11 East-southeast
118.13 12 Southeast by east
135 13 Southeast
151.87 14 Southeast by south
151.88 15 South-southeast
168.75 16 South by east
185.62 17 South
185.63 18 South by west
202.5 19 South-southwest
219.37 20 Southwest by south
219.38 21 Southwest
236.25 22 Southwest by west
253.12 23 West-southwest
253.13 24 West by south
270 25 West
286.87 26 West by north
286.88 27 West-northwest
303.75 28 Northwest by west
320.62 29 Northwest
320.63 30 Northwest by north
337.5 31 North-northwest
354.37 32 North by west
354.38 1 North
Befunge
::"}"9**\4+3%79*9*5-*79*9*5--+:5>>>06p:55+%68*+v
^_@#!`*84:+1<v*9"}"*+55,,,".",,,$$_^#!:-1g60/+55\<
>_06g:v>55+,^>/5+55+/48*::::,,,,%:1+.9,:06p48*\-0v
|p60-1<|<!p80:<N|Ev"northwest"0"North by west"0p8<
>:#,_>>>_08g1-^W|S>"-htroN"0"htron yb tsewhtroN"0v
#v"est-northwest"0"Northwest by west"0"Northwest"<
N>"W"0"htron yb tseW"0"tseW"0"htuos yb tseW"0"ts"v
#v0"Southwest"0"Southwest by west"0"West-southwe"<
S>"htuos yb tsewhtuoS"0"tsewhtuos-htuoS"0"tsew y"v
#v"h-southeast"0"South by east"0"South"0"South b"<
E>"tuoS"0"htuos yb tsaehtuoS"0"tsaehtuoS"0"tsae "v
#v"East by south"0"East-southeast"0"Southeast by"<
W>0"tsaE"0"htron yb tsaE"0"tsaehtron-tsaE"0"tsae"v
#v"rtheast by north"0"Northeast"0"Northeast by "<<
^>"oN"0"tsaehtron-htroN"0"tsae yb htroN"0"htroN"01
{{output}}
000.00 1 North
016.87 2 North by east
016.88 3 North-northeast
033.75 4 Northeast by north
050.62 5 Northeast
050.63 6 Northeast by east
067.50 7 East-northeast
084.37 8 East by north
084.38 9 East
101.25 10 East by south
118.12 11 East-southeast
118.13 12 Southeast by east
135.00 13 Southeast
151.87 14 Southeast by south
151.88 15 South-southeast
168.75 16 South by east
185.62 17 South
185.63 18 South by west
202.50 19 South-southwest
219.37 20 Southwest by south
219.38 21 Southwest
236.25 22 Southwest by west
253.12 23 West-southwest
253.13 24 West by south
270.00 25 West
286.87 26 West by north
286.88 27 West-northwest
303.75 28 Northwest by west
320.62 29 Northwest
320.63 30 Northwest by north
337.50 31 North-northwest
354.37 32 North by west
354.38 1 North
C
Like [[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.)
#include <stdio.h>
int main()
{
int i, j;
double degrees[] = { 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5,
84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88,
168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12,
253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5,
354.37, 354.38 };
const char * names = "North "
"North by east "
"North-northeast "
"Northeast by north "
"Northeast "
"Northeast by east "
"East-northeast "
"East by north "
"East "
"East by south "
"East-southeast "
"Southeast by east "
"Southeast "
"Southeast by south "
"South-southeast "
"South by east "
"South "
"South by west "
"South-southwest "
"Southwest by south "
"Southwest "
"Southwest by west "
"West-southwest "
"West by south "
"West "
"West by north "
"West-northwest "
"Northwest by west "
"Northwest "
"Northwest by north "
"North-northwest "
"North by west "
"North ";
for (i = 0; i < 33; i++) {
j = .5 + degrees[i] * 32 / 360;
printf("%2d %.22s %6.2f\n", (j % 32) + 1, names + (j % 32) * 22,
degrees[i]);
}
return 0;
}
Output:
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
C++
Using the Boost libraries {{libheader|Boost}}
#include <string>
#include <boost/array.hpp>
#include <boost/assign/list_of.hpp>
#include <boost/format.hpp>
#include <boost/foreach.hpp>
#include <iostream>
#include <math.h>
using std::string;
using namespace boost::assign;
int get_Index(float angle)
{
return static_cast<int>(floor(angle / 11.25 +0.5 )) % 32 + 1;
}
string get_Abbr_From_Index(int i)
{
static boost::array<std::string, 32> points(list_of
("N")("NbE")("NNE")("NEbN")("NE")("NEbE")("ENE")("EbN")
("E")("EbS")("ESE")("SEbE")("SE")("SEbS")("SSE")("SbE")
("S")("SbW")("SSW")("SWbS")("SW")("SWbW")("WSW")("WbS")
("W")("WbN")("WNW")("NWbW")("NW")("NWbN")("NNW")("NbW"));
return points[i-1];
}
string Build_Name_From_Abbreviation(string a)
{
string retval;
for (int i = 0; i < a.size(); ++i){
if ((1 == i) && (a[i] != 'b') && (a.size() == 3)) retval += "-";
switch (a[i]){
case 'N' : retval += "north"; break;
case 'S' : retval += "south"; break;
case 'E' : retval += "east"; break;
case 'W' : retval += "west"; break;
case 'b' : retval += " by "; break;
}
}
retval[0] = toupper(retval[0]);
return retval;
}
int main()
{
boost::array<float,33> headings(list_of
(0.0)(16.87)(16.88)(33.75)(50.62)(50.63)(67.5)(84.37)(84.38)(101.25)
(118.12)(118.13)(135.0)(151.87)(151.88)(168.75)(185.62)(185.63)(202.5)
(219.37)(219.38)(236.25)(253.12)(253.13)(270.0)(286.87)(286.88)(303.75)
(320.62)(320.63)(337.5)(354.37)(354.38));
int i;
boost::format f("%1$4d %2$-20s %3$_7.2f");
BOOST_FOREACH(float a, headings)
{
i = get_Index(a);
std::cout << f % i % Build_Name_From_Abbreviation(get_Abbr_From_Index(i)) % a << std::endl;
}
return 0;
}
Output:
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
C#
using System;
using System.Collections.Generic;
namespace BoxTheCompass
{
class Compass
{
string[] cp = new string[] {"North", "North by east", "North-northeast", "Northeast by north", "Northeast","Northeast by east",
"East-northeast", "East by north", "East", "East by south", "East-southeast", "Southeast by east", "Southeast",
"Southeast by south", "South-southeast", "South by east", "South", "South by west", "South-southwest", "Southwest by south",
"Southwest", "Southwest by west", "West-southwest", "West by south", "West", "West by north", "West-northwest",
"Northwest by west", "Northwest", "Northwest by north", "North-northwest", "North by west", "North"};
public void compassHeading(float a)
{
int h = Convert.ToInt32(Math.Floor(a / 11.25f + .5f)) % 32;
Console.WriteLine( "{0,2}: {1,-22} : {2,6:N}",h + 1, cp[h], a );
}
};
class Program
{
static void Main(string[] args)
{
Compass c = new Compass();
float[] degs = new float[] {0.0f, 16.87f, 16.88f, 33.75f, 50.62f, 50.63f, 67.5f, 84.37f, 84.38f, 101.25f,
118.12f, 118.13f, 135.0f, 151.87f, 151.88f, 168.75f, 185.62f, 185.63f, 202.5f, 219.37f, 219.38f, 236.25f,
253.12f, 253.13f, 270.0f, 286.87f, 286.88f, 303.75f, 320.62f, 320.63f, 337.5f, 354.37f, 354.38f};
foreach (float d in degs)
c.compassHeading(d);
Console.WriteLine("\nPress any key to continue...");
Console.ReadKey();
}
}
}
{{out}}
1: North : 0.00
2: North by east : 16.87
3: North-northeast : 16.88
4: Northeast by north : 33.75
5: Northeast : 50.62
6: Northeast by east : 50.63
7: East-northeast : 67.50
8: East by north : 84.37
9: East : 84.38
10: East by south : 101.25
11: East-southeast : 118.12
12: Southeast by east : 118.13
13: Southeast : 135.00
14: Southeast by south : 151.87
15: South-southeast : 151.88
16: South by east : 168.75
17: South : 185.62
18: South by west : 185.63
19: South-southwest : 202.50
20: Southwest by south : 219.37
21: Southwest : 219.38
22: Southwest by west : 236.25
23: West-southwest : 253.12
24: West by south : 253.13
25: West : 270.00
26: West by north : 286.87
27: West-northwest : 286.88
28: Northwest by west : 303.75
29: Northwest : 320.62
30: Northwest by north : 320.63
31: North-northwest : 337.50
32: North by west : 354.37
1: North : 354.38
Clojure
{{trans|Tcl}}
(ns boxing-the-compass
(:use [clojure.string :only [capitalize]]))
(def headings
(for [i (range 0 (inc 32))]
(let [heading (* i 11.25)]
(case (mod i 3)
1 (+ heading 5.62)
2 (- heading 5.62)
heading))))
(defn angle2compass
[angle]
(let [dirs ["N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"
"E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"
"S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"
"W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"]
unpack {\N "north" \E "east" \W "west" \S "south" \b " by " \- "-"}
sep (/ 360 (count dirs))
dir (int (/ (mod (+ angle (/ sep 2)) 360) sep))]
(capitalize (apply str (map unpack (dirs dir))))))
(print
(apply str (map-indexed #(format "%2s %-18s %7.2f\n"
(inc (mod %1 32)) (angle2compass %2) %2)
headings)))
Output:
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
COBOL
Works with GnuCOBOL
identification division.
program-id. box-compass.
data division.
working-storage section.
01 point pic 99.
01 degrees usage float-short.
01 degrees-rounded pic 999v99.
01 show-degrees pic zz9.99.
01 box pic z9.
01 fudge pic 9.
01 compass pic x(4).
01 compass-point pic x(18).
01 shortform pic x.
01 short-names.
05 short-name pic x(4) occurs 33 times.
01 overlay.
05 value "N " & "NbE " & "N-NE" & "NEbN" & "NE " &
"NEbE" & "E-NE" & "EbN " & "E " & "EbS " &
"E-SE" & "SEbE" & "SE " & "SEbS" & "S-SE" &
"SbE " & "S " & "SbW " & "S-SW" & "SWbS" &
"SW " & "SWbW" & "W-SW" & "WbS " & "W " &
"WbN " & "W-NW" & "NWbW" & "NW " & "NWbN" &
"N-NW" & "NbW " & "N ".
procedure division.
display "Index Compass point Degree"
move overlay to short-names.
perform varying point from 0 by 1 until point > 32
compute box = function mod(point 32) + 1
compute degrees = point * 11.25
compute fudge = function mod(point 3)
evaluate fudge
when equal 1
add 5.62 to degrees
when equal 2
subtract 5.62 from degrees
end-evaluate
compute degrees-rounded rounded = degrees
move degrees-rounded to show-degrees
inspect show-degrees replacing trailing '00' by '0 '
inspect show-degrees replacing trailing '50' by '5 '
move short-name(point + 1) to compass
move spaces to compass-point
display space box space space space with no advancing
perform varying tally from 1 by 1 until tally > 4
move compass(tally:1) to shortform
move function concatenate(function trim(compass-point),
function substitute(shortform,
"N", "North",
"E", "East",
"S", "South",
"W", "West",
"b", " byZ",
"-", "-"))
to compass-point
end-perform
move function substitute(compass-point, "Z", " ")
to compass-point
move function lower-case(compass-point) to compass-point
move function upper-case(compass-point(1:1))
to compass-point(1:1)
display compass-point space show-degrees
end-perform
goback.
{{out}}
Index Compass point Degree
1 North 0.0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.5
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.0
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.5
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.0
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.5
32 North by west 354.37
1 North 354.38
D
{{trans|Java}}
import std.stdio, std.string, std.math, std.array;
struct boxTheCompass {
immutable static string[32] points;
pure nothrow static this() {
immutable cardinal = ["north", "east", "south", "west"];
immutable desc = ["1", "1 by 2", "1-C", "C by 1", "C",
"C by 2", "2-C", "2 by 1"];
foreach (immutable i; 0 .. 4) {
immutable s1 = cardinal[i];
immutable s2 = cardinal[(i + 1) % 4];
immutable sc = (s1 == "north" || s1 == "south") ?
(s1 ~ s2) : (s2 ~ s1);
foreach (immutable j; 0 .. 8)
points[i * 8 + j] = desc[j].replace("1", s1).
replace("2", s2).replace("C", sc);
}
}
static string opCall(in double degrees) pure /*nothrow*/ {
immutable testD = (degrees / 11.25) + 0.5;
return points[cast(int)floor(testD % 32)].capitalize;
}
}
void main() {
foreach (immutable i; 0 .. 33) {
immutable heading = i * 11.25 + [0, 5.62, -5.62][i % 3];
writefln("%s\t%18s\t%s", i % 32 + 1,
heading.boxTheCompass, heading);
}
}
{{out}}
1 North 0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.5
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.5
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.5
32 North by west 354.37
1 North 354.38
Alternative version
void main() {
import std.stdio;
immutable box = [
"North", "North by east", "North-northeast", "Northeast by north",
"Northeast", "Northeast by east", "East-northeast", "East by north",
"East", "East by south", "East-southeast", "Southeast by east",
"Southeast", "Southeast by south", "South-southeast", "South by east",
"South", "South by west", "South-southwest", "Southwest by south",
"Southwest", "Southwest by west", "West-southwest", "West by south",
"West", "West by north", "West-northwest", "Northwest by west",
"Northwest", "Northwest by north", "North-northwest", "North by west"];
immutable angles = [
0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38,
101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75, 185.62,
185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0,
286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38];
foreach (immutable phi; angles) {
immutable i = (cast(int)(phi * 32.0 / 360.0 + 0.5)) % 32;
writefln("%2d %18s %6.2f", i + 1, box[i], phi);
}
}
{{out}}
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
Elixir
{{trans|Ruby}}
defmodule Box do
defp head do
Enum.chunk(~w(north east south west north), 2, 1)
|> Enum.flat_map(fn [a,b] ->
c = if a=="north" or a=="south", do: "#{a}#{b}", else: "#{b}#{a}"
[ a, "#{a} by #{b}", "#{a}-#{c}", "#{c} by #{a}",
c, "#{c} by #{b}", "#{b}-#{c}", "#{b} by #{a}" ]
end)
|> Enum.with_index
|> Enum.map(fn {s, i} -> {i+1, String.capitalize(s)} end)
|> Map.new
end
def compass do
header = head()
angles = Enum.map(0..32, fn i -> i * 11.25 + elem({0, 5.62, -5.62}, rem(i, 3)) end)
Enum.each(angles, fn degrees ->
index = rem(round(32 * degrees / 360), 32) + 1
:io.format "~2w ~-20s ~6.2f~n", [index, header[index], degrees]
end)
end
end
Box.compass
{{out}}
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
Euphoria
constant names = {"North","North by east","North-northeast","Northeast by north",
"Northeast","Northeast by east","East-northeast","East by north","East",
"East by south","East-southeast","Southeast by east","Southeast","Southeast by south",
"South-southeast","South by east","South","South by west","South-southwest",
"Southwest by south","Southwest","Southwest by west","West-southwest",
"West by south","West","West by north","West-northwest","Northwest by west",
"Northwest","Northwest by north","North-northwest","North by west"}
function deg2ind(atom degree)
return remainder(floor(degree*32/360+.5),32)+1
end function
sequence degrees
degrees = {}
for i = 0 to 32 do
degrees &= i*11.25 + 5.62*(remainder(i+1,3)-1)
end for
integer j
for i = 1 to length(degrees) do
j = deg2ind(degrees[i])
printf(1, "%6.2f %2d %-22s\n", {degrees[i], j, names[j]})
end for
Output:
0.00 1 North
16.87 2 North by east
16.88 3 North-northeast
33.75 4 Northeast by north
50.62 5 Northeast
50.63 6 Northeast by east
67.50 7 East-northeast
84.37 8 East by north
84.38 9 East
101.25 10 East by south
118.12 11 East-southeast
118.13 12 Southeast by east
135.00 13 Southeast
151.87 14 Southeast by south
151.88 15 South-southeast
168.75 16 South by east
185.62 17 South
185.63 18 South by west
202.50 19 South-southwest
219.37 20 Southwest by south
219.38 21 Southwest
236.25 22 Southwest by west
253.12 23 West-southwest
253.13 24 West by south
270.00 25 West
286.87 26 West by north
286.88 27 West-northwest
303.75 28 Northwest by west
320.62 29 Northwest
320.63 30 Northwest by north
337.50 31 North-northwest
354.37 32 North by west
354.38 1 North
=={{header|F_Sharp|F#}}== {{trans|Perl}}
let box = [|
"North"; "North by east"; "North-northeast"; "Northeast by north";
"Northeast"; "Northeast by east"; "East-northeast"; "East by north";
"East"; "East by south"; "East-southeast"; "Southeast by east";
"Southeast"; "Southeast by south"; "South-southeast"; "South by east";
"South"; "South by west"; "South-southwest"; "Southwest by south";
"Southwest"; "Southwest by west"; "West-southwest"; "West by south";
"West"; "West by north"; "West-northwest"; "Northwest by west";
"Northwest"; "Northwest by north"; "North-northwest"; "North by west" |]
[ 0.0; 16.87; 16.88; 33.75; 50.62; 50.63; 67.5; 84.37; 84.38;
101.25; 118.12; 118.13; 135.0; 151.87; 151.88; 168.75; 185.62;
185.63; 202.5; 219.37; 219.38; 236.25; 253.12; 253.13; 270.0;
286.87; 286.88; 303.75; 320.62; 320.63; 337.5; 354.37; 354.38 ]
|> List.iter (fun phi ->
let i = (int (phi * 32. / 360. + 0.5)) % 32
printf "%3d %18s %6.2f°\n" (i + 1) box.[i] phi)
{{out}}
1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
Factor
USING: formatting kernel math sequences ;
CONSTANT: box
{
"North" "North by east" "North-northeast"
"Northeast by north" "Northeast" "Northeast by east"
"East-northeast" "East by north" "East" "East by south"
"East-southeast" "Southeast by east" "Southeast"
"Southeast by south" "South-southeast" "South by east"
"South" "South by west" "South-southwest"
"Southwest by south" "Southwest" "Southwest by west"
"West-southwest" "West by south" "West" "West by north"
"West-northwest" "Northwest by west" "Northwest"
"Northwest by north" "North-northwest" "North by west"
}
{
0 16.87 16.88 33.75 50.62 50.63 67.5 84.37 84.38 101.25
118.12 118.13 135 151.87 151.88 168.75 185.62 185.63 202.5
219.37 219.38 236.25 253.12 253.13 270 286.87 286.88 303.75
320.62 320.63 337.5 354.37 354.38
}
[
dup 32 * 360 /f 0.5 + >integer 32 mod [ 1 + ] [ box nth ] bi
"%6.2f° %2d %s\n" printf
] each
{{out}}
0.00° 1 North
16.87° 2 North by east
16.88° 3 North-northeast
33.75° 4 Northeast by north
50.62° 5 Northeast
50.63° 6 Northeast by east
67.50° 7 East-northeast
84.37° 8 East by north
84.38° 9 East
101.25° 10 East by south
118.12° 11 East-southeast
118.13° 12 Southeast by east
135.00° 13 Southeast
151.87° 14 Southeast by south
151.88° 15 South-southeast
168.75° 16 South by east
185.62° 17 South
185.63° 18 South by west
202.50° 19 South-southwest
219.37° 20 Southwest by south
219.38° 21 Southwest
236.25° 22 Southwest by west
253.12° 23 West-southwest
253.13° 24 West by south
270.00° 25 West
286.87° 26 West by north
286.88° 27 West-northwest
303.75° 28 Northwest by west
320.62° 29 Northwest
320.63° 30 Northwest by north
337.50° 31 North-northwest
354.37° 32 North by west
354.38° 1 North
Fortran
{{works with|Fortran|90 and later}}
Program Compass
implicit none
integer :: i, ind
real :: heading
do i = 0, 32
heading = i * 11.25
if (mod(i, 3) == 1) then
heading = heading + 5.62
else if (mod(i, 3) == 2) then
heading = heading - 5.62
end if
ind = mod(i, 32) + 1
write(*, "(i2, a20, f8.2)") ind, compasspoint(heading), heading
end do
contains
function compasspoint(h)
character(18) :: compasspoint
character(18) :: points(32) = (/ "North ", "North by east ", "North-northeast ", &
"Northeast by north", "Northeast ", "Northeast by east ", "East-northeast ", &
"East by north ", "East ", "East by south ", "East-southeast ", &
"Southeast by east ", "Southeast ", "Southeast by south", "South-southeast ", &
"South by east ", "South ", "South by west ", "South-southwest ", &
"Southwest by south", "Southwest ", "Southwest by west ", "West-southwest ", &
"West by south ", "West ", "West by north ", "West-northwest ", &
"Northwest by west ", "Northwest ", "Northwest by north", "North-northwest ", &
"North by west " /)
real, intent(in) :: h
real :: x
x = h / 11.25 + 1.5
if (x >= 33.0) x = x - 32.0
compasspoint = points(int(x))
end function compasspoint
end program Compass
Output:
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
FreeBASIC
' version 04-11-2016
' compile with: fbc -s console
Dim As String names(0 To ...) = { "North", "North by east", "North-northeast", _
"Northeast by north", "Northeast", "Northeast by east", "East-northeast", _
"East by north", "East", "East by south", "East-southeast", _
"Southeast by east", "Southeast", "Southeast by south", "South-southeast", _
"South by east", "South", "South by west", "South-southwest", _
"Southwest by south", "Southwest", "Southwest by west", "West-southwest", _
"West by south", "West", "West by north", "West-northwest", _
"Northwest by west", "Northwest", "Northwest by north", "North-northwest", _
"North by west", "North" }
Dim As Double degrees(0 To ...) = { 0, 16.87, 16.88, 33.75, 50.62, 50.63, _
67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135, 151.87, 151.88, 168.75, _
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270, _
286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38 }
Dim As ULong i, j
For i = LBound(degrees) To UBound(degrees)
j = Int((degrees(i) + 5.625) / 11.25)
If j > 31 Then j = j - 32
Print Using "####.## ## "; degrees(i); j;
Print names(j)
Next
' empty keyboard buffer
While Inkey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End
{{out}}
0.00 0 North
16.87 1 North by east
16.88 2 North-northeast
33.75 3 Northeast by north
50.62 4 Northeast
50.63 5 Northeast by east
67.50 6 East-northeast
84.37 7 East by north
84.38 8 East
101.25 9 East by south
118.12 10 East-southeast
118.13 11 Southeast by east
135.00 12 Southeast
151.87 13 Southeast by south
151.88 14 South-southeast
168.75 15 South by east
185.62 16 South
185.63 17 South by west
202.50 18 South-southwest
219.37 19 Southwest by south
219.38 20 Southwest
236.25 21 Southwest by west
253.12 22 West-southwest
253.13 23 West by south
270.00 24 West
286.87 25 West by north
286.88 26 West-northwest
303.75 27 Northwest by west
320.62 28 Northwest
320.63 29 Northwest by north
337.50 30 North-northwest
354.37 31 North by west
354.38 0 North
Gambas
'''[https://gambas-playground.proko.eu/?gist=823a56ac094b8963cf11f792b381fbcc Click this link to run this code]'''
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
Output:
Index= 1 0.00 degrees = North
Index= 2 16.87 degrees = North by East
Index= 3 16.88 degrees = North North East
Index= 4 33.75 degrees = North East by East
Index= 5 50.62 degrees = North East
Index= 6 50.63 degrees = North East by East
Index= 7 67.50 degrees = East North East
Index= 8 84.37 degrees = East by North
Index= 9 84.38 degrees = East
Index=10 101.25 degrees = East by South
Index=11 118.12 degrees = East South East
Index=12 118.13 degrees = South East by East
Index=13 135.00 degrees = South East
Index=14 151.87 degrees = South East by South
Index=15 151.88 degrees = South South East
Index=16 168.75 degrees = South by East
Index=17 185.62 degrees = South
Index=18 185.63 degrees = South by West
Index=19 202.50 degrees = South South West
Index=20 219.37 degrees = South West by South
Index=21 219.38 degrees = South West
Index=22 236.25 degrees = South West by West
Index=23 253.12 degrees = West South West
Index=24 253.13 degrees = West by South
Index=25 270.00 degrees = West
Index=26 286.87 degrees = West by North
Index=27 286.88 degrees = West North West
Index=28 303.75 degrees = North West by West
Index=29 320.62 degrees = North West
Index=30 320.63 degrees = North West by North
Index=31 337.50 degrees = North North West
Index=32 354.37 degrees = North by West
Index= 1 354.38 degrees = North
Go
package main
import "fmt"
// function required by 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)
}
}
Index Compass point Degree
1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
Groovy
def asCompassPoint(angle) {
def cardinalDirections = ["north", "east", "south", "west"]
int index = Math.floor(angle / 11.25 + 0.5)
int cardinalIndex = (index / 8)
def c1 = cardinalDirections[cardinalIndex % 4]
def c2 = cardinalDirections[(cardinalIndex + 1) % 4]
def c3 = (cardinalIndex == 0 || cardinalIndex == 2) ? "$c1$c2" : "$c2$c1"
def point = [
"$c1", "$c1 by $c2", "$c1-$c3", "$c3 by $c1", "$c3", "$c3 by $c2", "$c2-$c3", "$c2 by $c1"
][index % 8]
point.substring(0, 1).toUpperCase() + point.substring(1)
}
Number.metaClass.asCompassPoint = { asCompassPoint(delegate) }
[0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5,
354.37, 354.38].eachWithIndex { angle, index ->
println "${(index % 32) + 1}".padRight(3) + "${angle.asCompassPoint().padLeft(20)} $angle\u00b0"
}
Output:
1 North 0.0°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.5°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.0°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.5°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.0°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.5°
32 North by west 354.37°
1 North 354.38°
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]
Output:
1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
Huginn
import Algorithms as algo;
import Text as text;
class Compass {
_majors = none;
_quarter1 = none;
_quarter2 = none;
constructor() {
_majors = algo.materialize( text.split( "north east south west", " " ), tuple );
_majors += _majors;
_quarter1 = text.split( "N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N", "," );
_quarter2 = algo.materialize( algo.map( _quarter1, @( s ){ copy( s ).replace( "NE", "EN" ); } ), list );
}
degrees_to_compasspoint( d ) {
d = d % 360. + 360. / 64.;
majorindex, minor = ( integer( d ) / 90, d % 90. );
minorindex = integer( minor * 4. ) / 45;
p1, p2 = _majors[majorindex: majorindex + 2];
q = none;
if ( p1 ∈ { "north", "south" } ) {
q = _quarter1;
} else {
q = _quarter2;
}
return ( text.capitalize( copy( q[minorindex] ).replace( "N", p1 ).replace( "E", p2 ) ) );
}
}
main() {
print(
" # | Angle | Compass point\n"
"---+---------|-------------------\n"
);
c = Compass();
for ( i : algo.range( 33 ) ) {
d = real( i ) * 11.25;
m = i % 3;
if ( m == 1 ) {
d += 5.62;
} else if ( m == 2 ) {
d -= 5.62;
}
n = i % 32 + 1;
print( "{:2d} | {:6.2f}° | {}\n".format( n, d, c.degrees_to_compasspoint( d ) ) );
}
}
Output:
# | Angle | Compass point
---+---------|-------------------
1 | 0.00° | North
2 | 16.87° | North by east
3 | 16.88° | North-northeast
4 | 33.75° | Northeast by north
5 | 50.62° | Northeast
6 | 50.63° | Northeast by east
7 | 67.50° | East-northeast
8 | 84.37° | East by north
9 | 84.38° | East
10 | 101.25° | East by south
11 | 118.12° | East-southeast
12 | 118.13° | Southeast by east
13 | 135.00° | Southeast
14 | 151.87° | Southeast by south
15 | 151.88° | South-southeast
16 | 168.75° | South by east
17 | 185.62° | South
18 | 185.63° | South by west
19 | 202.50° | South-southwest
20 | 219.37° | Southwest by south
21 | 219.38° | Southwest
22 | 236.25° | Southwest by west
23 | 253.12° | West-southwest
24 | 253.13° | West by south
25 | 270.00° | West
26 | 286.87° | West by north
27 | 286.88° | West-northwest
28 | 303.75° | Northwest by west
29 | 320.62° | Northwest
30 | 320.63° | Northwest by north
31 | 337.50° | North-northwest
32 | 354.37° | North by west
1 | 354.38° | North
=={{header|Icon}} and {{header|Unicon}}== {{incomplete|Icon|354.38?}}
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
{{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:
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
=={{header|IS-BASIC}}==
Output:
```txt
0 1 North
16.87 2 North by east
16.88 3 North-northeast
33.75 4 Northeast by north
50.62 5 Northeast
50.63 6 Northeast by east
67.5 7 East-northeast
84.37 8 East by north
84.38 9 East
101.25 10 East by south
118.12 11 East-southeast
118.13 12 Southeast by east
135 13 Southeast
151.87 14 Southeast by south
151.88 15 South-southeast
168.75 16 South by east
185.62 17 South
185.63 18 South by west
202.5 19 South-southwest
219.37 20 Southwest by south
219.38 21 Southwest
236.25 22 Southwest by west
253.12 23 West-southwest
253.13 24 West by south
270 25 West
286.87 26 West by north
286.88 27 West-northwest
303.75 28 Northwest by west
320.62 29 Northwest
320.63 30 Northwest by north
337.5 31 North-northwest
354.37 32 North by west
354.38 1 North
J
require'strings'
subs=: 'N,north,S,south,E,east,W,west,b, by ,'
dirs=: subs (toupper@{., }.)@rplc~L:1 0&(<;._2) 0 :0 -. ' ',LF
N,NbE,N-NE,NEbN,NE,NEbE,E-NE,EbN,E,EbS,E-SE,SEbE,SE,SEbS,S-SE,SbE,
S,SbW,S-SW,SWbS,SW,SWbW,W-SW,WbS,W,WbN,W-NW,NWbW,NW,NWbN,N-NW,NbW,
)
indice=: 32 | 0.5 <.@+ %&11.25
deg2pnt=: dirs {~ indice
Example use:
i.10
0 1 2 3 4 5 6 7 8 9
deg2pnt i.10
┌─────┬─────┬─────┬─────┬─────┬─────┬─────────────┬─────────────┬─────────────┬─────────────┐
│North│North│North│North│North│North│North by east│North by east│North by east│North by east│
└─────┴─────┴─────┴─────┴─────┴─────┴─────────────┴─────────────┴─────────────┴─────────────┘
Required example:
(":@>:@indice,.' ',.>@deg2pnt,.' ',.":@,.)(*&11.25 + 5.62 * 0 1 _1 {~ 3&|) i.33
1 North 0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.5
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.5
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.5
32 North by west 354.37
1 North 354.38
Java
{{trans|Visual Basic .NET}}
public class BoxingTheCompass{
private static String[] points = new String[32];
public static void main(String[] args){
buildPoints();
double heading = 0;
for(int i = 0; i<= 32;i++){
heading = i * 11.25;
switch(i % 3){
case 1:
heading += 5.62;
break;
case 2:
heading -= 5.62;
break;
default:
}
System.out.printf("%s\t%18s\t%s°\n",(i % 32) + 1, initialUpper(getPoint(heading)), heading);
}
}
private static void buildPoints(){
String[] cardinal = {"north", "east", "south", "west"};
String[] pointDesc = {"1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1"};
String str1, str2, strC;
for(int i = 0;i <= 3;i++){
str1 = cardinal[i];
str2 = cardinal[(i + 1) % 4];
strC = (str1.equals("north") || str1.equals("south")) ? (str1 + str2): (str2 + str1);
for(int j = 0;j <= 7;j++){
points[i * 8 + j] = pointDesc[j].replace("1", str1).replace("2", str2).replace("C", strC);
}
}
}
private static String initialUpper(String s){
return s.substring(0, 1).toUpperCase() + s.substring(1);
}
private static String getPoint(double degrees){
double testD = (degrees / 11.25) + 0.5;
return points[(int)Math.floor(testD % 32)];
}
}
Output:
1 North 0.0°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.5°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.0°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.5°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.0°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.5°
32 North by west 354.37°
1 North 354.38°
JavaScript
ES5
An iterative, web-based approach:
function createRow(i, point, heading) {
var tr = document.createElement('tr'),
td;
td = document.createElement('td');
td.appendChild(document.createTextNode(i));
tr.appendChild(td);
td = document.createElement('td');
point = point.substr(0, 1).toUpperCase() + point.substr(1);
td.appendChild(document.createTextNode(point));
tr.appendChild(td);
td = document.createElement('td');
td.appendChild(document.createTextNode(heading));
tr.appendChild(td);
return tr;
}
function getPoint(i) {
var j = i % 8,
i = Math.floor(i / 8) % 4,
cardinal = ['north', 'east', 'south', 'west'],
pointDesc = ['1', '1 by 2', '1-C', 'C by 1', 'C', 'C by 2', '2-C', '2 by 1'],
str1, str2, strC;
str1 = cardinal[i];
str2 = cardinal[(i + 1) % 4];
strC = (str1 === 'north' || str1 === 'south') ? str1 + str2 : str2 + str1;
return pointDesc[j].replace('1', str1).replace('2', str2).replace('C', strC);
}
var i,
heading,
table = document.createElement('table'),
tbody = document.createElement('tbody'),
tr;
for (i = 0; i <= 32; i += 1) {
heading = i * 11.25 + [0, 5.62, -5.62][i % 3];
tr = createRow(i % 32 + 1, getPoint(i), heading + '°');
tbody.appendChild(tr);
}
table.appendChild(tbody);
document.body.appendChild(table);
Output:
1 North 0°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.5°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.5°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.5°
32 North by west 354.37°
1 North 354.38°
ES6
Functional composition, allowing for additional languages (and different numbers of compass points)
(() => {
'use strict';
// GENERIC FUNCTIONS
// toTitle :: String -> String
let toTitle = s => s.length ? (s[0].toUpperCase() + s.slice(1)) : '';
// COMPASS DATA AND FUNCTIONS
// Scale invariant keys for points of the compass
// (allows us to look up a translation for one scale of compass (32 here)
// for use in another size of compass (8 or 16 points)
// (Also semi-serviceable as more or less legible keys without translation)
// compassKeys :: Int -> [String]
let compassKeys = depth => {
let urCompass = ['N', 'S', 'N'],
subdivision = (compass, n) => n <= 1 ? (
compass
) : subdivision( // Borders between N and S engender E and W.
// other new boxes concatenate their parent keys.
compass.reduce((a, x, i, xs) => {
if (i > 0) {
return (n === depth) ? (
a.concat([x === 'N' ? 'W' : 'E'], x)
) : a.concat([xs[i - 1] + x, x]);
} else return a.concat(x);
}, []),
n - 1
);
return subdivision(urCompass, depth)
.slice(0, -1);
};
// https://zh.wikipedia.org/wiki/%E7%BD%97%E7%9B%98%E6%96%B9%E4%BD%8D
let lstLangs = [{
'name': 'English',
expansions: {
N: 'north',
S: 'south',
E: 'east',
W: 'west',
b: ' by ',
'-': '-'
},
'N': 'N',
'NNNE': 'NbE',
'NNE': 'N-NE',
'NNENE': 'NEbN',
'NE': 'NE',
'NENEE': 'NEbE',
'NEE': 'E-NE',
'NEEE': 'EbN',
'E': 'E',
'EEES': 'EbS',
'EES': 'E-SE',
'EESES': 'SEbE',
'ES': 'SE',
'ESESS': 'SEbS',
'ESS': 'S-SE',
'ESSS': 'SbE',
'S': 'S',
'SSSW': 'SbW',
'SSW': 'S-SW',
'SSWSW': 'SWbS',
'SW': 'SW',
'SWSWW': 'SWbW',
'SWW': 'W-SW',
'SWWW': 'WbS',
'W': 'W',
'WWWN': 'WbN',
'WWN': 'W-NW',
'WWNWN': 'NWbW',
'WN': 'NW',
'WNWNN': 'NWbN',
'WNN': 'N-NW',
'WNNN': 'NbW'
}, {
'name': 'Chinese',
'N': '北',
'NNNE': '北微东',
'NNE': '东北偏北',
'NNENE': '东北微北',
'NE': '东北',
'NENEE': '东北微东',
'NEE': '东北偏东',
'NEEE': '东微北',
'E': '东',
'EEES': '东微南',
'EES': '东南偏东',
'EESES': '东南微东',
'ES': '东南',
'ESESS': '东南微南',
'ESS': '东南偏南',
'ESSS': '南微东',
'S': '南',
'SSSW': '南微西',
'SSW': '西南偏南',
'SSWSW': '西南微南',
'SW': '西南',
'SWSWW': '西南微西',
'SWW': '西南偏西',
'SWWW': '西微南',
'W': '西',
'WWWN': '西微北',
'WWN': '西北偏西',
'WWNWN': '西北微西',
'WN': '西北',
'WNWNN': '西北微北',
'WNN': '西北偏北',
'WNNN': '北微西'
}];
// pointIndex :: Int -> Num -> Int
let pointIndex = (power, degrees) => {
let nBoxes = (power ? Math.pow(2, power) : 32);
return Math.ceil(
(degrees + (360 / (nBoxes * 2))) % 360 * nBoxes / 360
) || 1;
};
// pointNames :: Int -> Int -> [String]
let pointNames = (precision, iBox) => {
let k = compassKeys(precision)[iBox - 1];
return lstLangs.map(dctLang => {
let s = dctLang[k] || k, // fallback to key if no translation
dctEx = dctLang.expansions;
return dctEx ? toTitle(s.split('')
.map(c => dctEx[c])
.join(precision > 5 ? ' ' : ''))
.replace(/ /g, ' ') : s;
});
};
// maximumBy :: (a -> a -> Ordering) -> [a] -> a
let maximumBy = (f, xs) =>
xs.reduce((a, x) => a === undefined ? x : (
f(x, a) > 0 ? x : a
), undefined);
// justifyLeft :: Int -> Char -> Text -> Text
let justifyLeft = (n, cFiller, strText) =>
n > strText.length ? (
(strText + replicate(n, cFiller)
.join(''))
.substr(0, n)
) : strText;
// justifyRight :: Int -> Char -> Text -> Text
let justifyRight = (n, cFiller, strText) =>
n > strText.length ? (
(replicate(n, cFiller)
.join('') + strText)
.slice(-n)
) : strText;
// replicate :: Int -> a -> [a]
let replicate = (n, a) => {
let v = [a],
o = [];
if (n < 1) return o;
while (n > 1) {
if (n & 1) o = o.concat(v);
n >>= 1;
v = v.concat(v);
}
return o.concat(v);
};
// transpose :: [[a]] -> [[a]]
let transpose = xs =>
xs[0].map((_, iCol) => xs.map((row) => row[iCol]));
// length :: [a] -> Int
// length :: Text -> Int
let length = xs => xs.length;
// compareByLength = (a, a) -> (-1 | 0 | 1)
let compareByLength = (a, b) => {
let [na, nb] = [a, b].map(length);
return na < nb ? -1 : na > nb ? 1 : 0;
};
// maxLen :: [String] -> Int
let maxLen = xs => maximumBy(compareByLength, xs)
.length;
// compassTable :: Int -> [Num] -> Maybe String
let compassTable = (precision, xs) => {
if (precision < 1) return undefined;
else {
let intPad = 2;
let lstIndex = xs.map(x => pointIndex(precision, x)),
lstStrIndex = lstIndex.map(x => x.toString()),
nIndexWidth = maxLen(lstStrIndex),
colIndex = lstStrIndex.map(
x => justifyRight(nIndexWidth, ' ', x)
);
let lstAngles = xs.map(x => x.toFixed(2) + '°'),
nAngleWidth = maxLen(lstAngles) + intPad,
colAngles = lstAngles.map(x => justifyRight(nAngleWidth, ' ', x));
let lstTrans = transpose(
lstIndex.map(i => pointNames(precision, i))
),
lstTransWidths = lstTrans.map(x => maxLen(x) + 2),
colsTrans = lstTrans
.map((lstLang, i) => lstLang
.map(x => justifyLeft(lstTransWidths[i], ' ', x))
);
return transpose([colIndex]
.concat([colAngles], [replicate(lstIndex.length, " ")])
.concat(colsTrans))
.map(x => x.join(''))
.join('\n');
}
}
// TEST
let xs = [0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37,
84.38, 101.25, 118.12, 118.13, 135.0, 151.87, 151.88, 168.75,
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13,
270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37,
354.38
];
// If we supply other precisions, like 4 or 6, (2^n -> 16 or 64 boxes)
// the bearings will be divided amongst smaller or larger numbers of boxes,
// either using name translations retrieved by the generic hash
// or using the hash itself (combined with any expansions)
// to substitute for missing names for very finely divided boxes.
return compassTable(5, xs); // 2^5 -> 32 boxes
})();
{{Out}}
1 0.00° North 北
2 16.87° North by east 北微东
3 16.88° North-northeast 东北偏北
4 33.75° Northeast by north 东北微北
5 50.62° Northeast 东北
6 50.63° Northeast by east 东北微东
7 67.50° East-northeast 东北偏东
8 84.37° East by north 东微北
9 84.38° East 东
10 101.25° East by south 东微南
11 118.12° East-southeast 东南偏东
12 118.13° Southeast by east 东南微东
13 135.00° Southeast 东南
14 151.87° Southeast by south 东南微南
15 151.88° South-southeast 东南偏南
16 168.75° South by east 南微东
17 185.62° South 南
18 185.63° South by west 南微西
19 202.50° South-southwest 西南偏南
20 219.37° Southwest by south 西南微南
21 219.38° Southwest 西南
22 236.25° Southwest by west 西南微西
23 253.12° West-southwest 西南偏西
24 253.13° West by south 西微南
25 270.00° West 西
26 286.87° West by north 西微北
27 286.88° West-northwest 西北偏西
28 303.75° Northwest by west 西北微西
29 320.62° Northwest 西北
30 320.63° Northwest by north 西北微北
31 337.50° North-northwest 西北偏北
32 354.37° North by west 北微西
1 354.38° North 北
Julia
{{works with|Julia|1.2}} {{trans|Python}}
using Printf
function degree2compasspoint(d::Float64)
majors = ("north", "east", "south", "west", "north", "east", "south", "west")
quarter1 = ("N", "N by E", "N-NE", "NE by N", "NE", "NE by E", "E-NE", "E by N")
quarter2 = map(p -> replace(p, "NE" => "EN"), quarter1)
d = d % 360 + 360 / 64
imajor, minor = divrem(d, 90)
iminor = div(minor * 4, 45)
imajor += 1
iminor += 1
p1, p2 = majors[imajor:imajor+1]
q = p1 in ("north", "south") ? quarter1 : quarter2
titlecase(replace(replace(q[iminor], 'N' => p1), 'E' => p2))
end
for i in 0:32
d = i * 11.25
i % 3 == 1 && (d += 5.62)
i % 3 == 2 && (d -= 5.62)
@printf("%2i %-17s %10.2f°\n", i % 32 + 1, degree2compasspoint(d), d)
end
{{out}}
1 North 0.00°
2 North By East 16.87°
3 North-Northeast 16.88°
4 Northeast By North 33.75°
5 Northeast 50.62°
6 Northeast By East 50.63°
7 East-Northeast 67.50°
8 East By North 84.37°
9 East 84.38°
10 East By South 101.25°
11 East-Southeast 118.12°
12 Southeast By East 118.13°
13 Southeast 135.00°
14 Southeast By South 151.87°
15 South-Southeast 151.88°
16 South By East 168.75°
17 South 185.62°
18 South By West 185.63°
19 South-Southwest 202.50°
20 Southwest By South 219.37°
21 Southwest 219.38°
22 Southwest By West 236.25°
23 West-Southwest 253.12°
24 West By South 253.13°
25 West 270.00°
26 West By North 286.87°
27 West-Northwest 286.88°
28 Northwest By West 303.75°
29 Northwest 320.62°
30 Northwest By North 320.63°
31 North-Northwest 337.50°
32 North By West 354.37°
1 North 354.38°
Kotlin
// version 1.1.2
fun expand(cp: String): String {
val sb = StringBuilder()
for (c in cp) {
sb.append(when (c) {
'N' -> "north"
'E' -> "east"
'S' -> "south"
'W' -> "west"
'b' -> " by "
else -> "-"
})
}
return sb.toString().capitalize()
}
fun main(args: Array<String>) {
val cp = arrayOf(
"N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",
"E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",
"S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",
"W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW"
)
println("Index Degrees Compass point")
println("----- ------- -------------")
val f = "%2d %6.2f %s"
for (i in 0..32) {
val index = i % 32
var heading = i * 11.25
when (i % 3) {
1 -> heading += 5.62
2 -> heading -= 5.62
}
println(f.format(index + 1, heading, expand(cp[index])))
}
}
{{out}}
Index Degrees Compass point
----- ------- -------------
1 0.00 North
2 16.87 North by east
3 16.88 North-northeast
4 33.75 Northeast by north
5 50.62 Northeast
6 50.63 Northeast by east
7 67.50 East-northeast
8 84.37 East by north
9 84.38 East
10 101.25 East by south
11 118.12 East-southeast
12 118.13 Southeast by east
13 135.00 Southeast
14 151.87 Southeast by south
15 151.88 South-southeast
16 168.75 South by east
17 185.62 South
18 185.63 South by west
19 202.50 South-southwest
20 219.37 Southwest by south
21 219.38 Southwest
22 236.25 Southwest by west
23 253.12 West-southwest
24 253.13 West by south
25 270.00 West
26 286.87 West by north
27 286.88 West-northwest
28 303.75 Northwest by west
29 320.62 Northwest
30 320.63 Northwest by north
31 337.50 North-northwest
32 354.37 North by west
1 354.38 North
Liberty BASIC
dim point$( 32)
for i =1 to 32
read d$: point$( i) =d$
next i
for i = 0 to 32
heading = i *11.25
if ( i mod 3) =1 then
heading = heading +5.62
else
if ( i mod 3) =2 then heading = heading -5.62
end if
ind = i mod 32 +1
print ind, compasspoint$( heading), 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
Output:
1 North 0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.5
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.5
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.5
32 North by west 354.37
1 North 354.38
K
The representation of the names was inspired by Tcl (etc.).
d:("N;Nbe;N-ne;Nebn;Ne;Nebe;E-ne;Ebn;")
d,:("E;Ebs;E-se;Sebe;Se;Sebs;S-se;Sbe;")
d,:("S;Sbw;S-sw;Swbs;Sw;Swbw;W-sw;Wbs;")
d,:("W;Wbn;W-nw;Nwbw;Nw;Nwbn;N-nw;Nbw;N")
split:{1_'(&x=y)_ x:y,x}
dd:split[d;";"]
/ lookup table
s1:"NEWSnewsb-"
s2:("North";"East";"West";"South";"north";"east";"west";"south";" by ";"-")
c:.({`$x}'s1),'{`$x}'s2 / create the dictionary
cc:{,/{$c[`$$x]}'x} / lookup function
/ calculate the degrees
f:{m:x!3;(11.25*x)+:[1=m;+5.62;2=m;-5.62;0]}
The table:
`0:{((2$(1+x!32))," ",(-19$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
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'
^}
{{out}}
angle | box | compass point
---------------------------------
0.00 | 1 | North
16.87 | 2 | North by east
16.88 | 3 | North-northeast
33.75 | 4 | Northeast by north
50.62 | 5 | Northeast
50.63 | 6 | Northeast by east
67.50 | 7 | East-northeast
84.37 | 8 | East by north
84.38 | 9 | East
101.25 | 10 | East by south
118.12 | 11 | East-southeast
118.13 | 12 | Southeast by east
135.00 | 13 | Southeast
151.87 | 14 | Southeast by south
151.88 | 15 | South-southeast
168.75 | 16 | South by east
185.62 | 17 | South
185.63 | 18 | South by west
202.50 | 19 | South-southwest
219.37 | 20 | Southwest by south
219.38 | 21 | Southwest
236.25 | 22 | Southwest by west
253.12 | 23 | West-southwest
253.13 | 24 | West by south
270.00 | 25 | West
286.87 | 26 | West by north
286.88 | 27 | West-northwest
303.75 | 28 | Northwest by west
320.62 | 29 | Northwest
320.63 | 30 | Northwest by north
337.50 | 31 | North-northwest
354.37 | 32 | North by west
354.38 | 1 | North
LLVM
{{trans|C}}
; This is not strictly LLVM, as it uses the C library function "printf".
; LLVM does not provide a way to print values, so the alternative would be
; to just load the string into memory, and that would be boring.
; Additional comments have been inserted, as well as changes made from the output produced by clang such as putting more meaningful labels for the jumps
;--- The declarations for the external C functions
declare i32 @printf(i8*, ...)
$"COMPASS_STR" = comdat any
$"OUTPUT_STR" = comdat any
@main.degrees = private unnamed_addr constant [33 x double] [double 0.000000e+00, double 1.687000e+01, double 1.688000e+01, double 3.375000e+01, double 5.062000e+01, double 5.063000e+01, double 6.750000e+01, double 8.437000e+01, double 0x40551851EB851EB8, double 1.012500e+02, double 1.181200e+02, double 1.181300e+02, double 1.350000e+02, double 1.518700e+02, double 1.518800e+02, double 1.687500e+02, double 1.856200e+02, double 1.856300e+02, double 2.025000e+02, double 2.193700e+02, double 2.193800e+02, double 2.362500e+02, double 2.531200e+02, double 2.531300e+02, double 2.700000e+02, double 2.868700e+02, double 2.868800e+02, double 3.037500e+02, double 3.206200e+02, double 3.206300e+02, double 3.375000e+02, double 3.543700e+02, double 3.543800e+02], align 16
@"COMPASS_STR" = linkonce_odr unnamed_addr constant [727 x i8] c"North North by east North-northeast Northeast by north Northeast Northeast by east East-northeast East by north East East by south East-southeast Southeast by east Southeast Southeast by south South-southeast South by east South South by west South-southwest Southwest by south Southwest Southwest by west West-southwest West by south West West by north West-northwest Northwest by west Northwest Northwest by north North-northwest North by west North \00", comdat, align 1
@"OUTPUT_STR" = linkonce_odr unnamed_addr constant [19 x i8] c"%2d %.22s %6.2f\0A\00", comdat, align 1
; Function Attrs: noinline nounwind optnone uwtable
define i32 @main() #0 {
%1 = alloca i32, align 4 ;-- allocate i
%2 = alloca i32, align 4 ;-- allocate j
%3 = alloca [33 x double], align 16 ;-- allocate degrees
%4 = alloca i8*, align 8 ;-- allocate names
%5 = bitcast [33 x double]* %3 to i8*
call void @llvm.memcpy.p0i8.p0i8.i64(i8* %5, i8* bitcast ([33 x double]* @main.degrees to i8*), i64 264, i32 16, i1 false)
store i8* getelementptr inbounds ([727 x i8], [727 x i8]* @"COMPASS_STR", i32 0, i32 0), i8** %4, align 8
store i32 0, i32* %1, align 4 ;-- i = 0
br label %loop
loop:
%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 }
{{out}}
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
Logo
; List of abbreviated compass point labels
make "compass_points [ N NbE N-NE NEbN NE NEbE E-NE EbN
E EbS E-SE SEbE SE SEbS S-SE SbE
S SbW S-SW SWbS SW SWbW W-SW WbS
W WbN W-NW NWbW NW NWbN N-NW NbW ]
; List of angles to test
make "test_angles [ 0.00 16.87 16.88 33.75 50.62 50.63 67.50
84.37 84.38 101.25 118.12 118.13 135.00 151.87
151.88 168.75 185.62 185.63 202.50 219.37 219.38
236.25 253.12 253.13 270.00 286.87 286.88 303.75
320.62 320.63 337.50 354.37 354.38 ]
; make comparisons case-sensitive
make "caseignoredp "false
; String utilities: search and replace
to replace_in :src :from :to
output map [ ifelse equalp ? :from [:to] [?] ] :src
end
; 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
Output:
Degrees | Closest Point | Index
0.00 | North | 1
16.87 | North by east | 2
16.88 | North-northeast | 3
33.75 | Northeast by north | 4
50.62 | Northeast | 5
50.63 | Northeast by east | 6
67.50 | East-northeast | 7
84.37 | East by north | 8
84.38 | East | 9
101.25 | East by south | 10
118.12 | East-southeast | 11
118.13 | Southeast by east | 12
135.00 | Southeast | 13
151.87 | Southeast by south | 14
151.88 | South-southeast | 15
168.75 | South by east | 16
185.62 | South | 17
185.63 | South by west | 18
202.50 | South-southwest | 19
219.37 | Southwest by south | 20
219.38 | Southwest | 21
236.25 | Southwest by west | 22
253.12 | West-southwest | 23
253.13 | West by south | 24
270.00 | West | 25
286.87 | West by north | 26
286.88 | West-northwest | 27
303.75 | Northwest by west | 28
320.62 | Northwest | 29
320.63 | Northwest by north | 30
337.50 | North-northwest | 31
354.37 | North by west | 32
354.38 | North | 1
Lua
{{trans|Logo}}
-- List of abbreviated compass point labels
compass_points = { "N", "NbE", "N-NE", "NEbN", "NE", "NEbE", "E-NE", "EbN",
"E", "EbS", "E-SE", "SEbE", "SE", "SEbS", "S-SE", "SbE",
"S", "SbW", "S-SW", "SWbS", "SW", "SWbW", "W-SW", "WbS",
"W", "WbN", "W-NW", "NWbW", "NW", "NWbN", "N-NW", "NbW" }
-- List of angles to test
test_angles = { 0.00, 16.87, 16.88, 33.75, 50.62, 50.63, 67.50,
84.37, 84.38, 101.25, 118.12, 118.13, 135.00, 151.87,
151.88, 168.75, 185.62, 185.63, 202.50, 219.37, 219.38,
236.25, 253.12, 253.13, 270.00, 286.87, 286.88, 303.75,
320.62, 320.63, 337.50, 354.37, 354.38 }
-- capitalize a string
function capitalize(s)
return s:sub(1,1):upper() .. s:sub(2)
end
-- convert compass point abbreviation to full text of label
function expand_point(abbr)
for from, to in pairs( { N="north", E="east", S="south", W="west",
b=" by " }) do
abbr = abbr:gsub(from, to)
end
return capitalize(abbr)
end
-- modulus function that returns 1..N instead of 0..N-1
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
Output:
Degrees | Closest Point | Index
0.00 | North | 1
16.87 | North by east | 2
16.88 | North-northeast | 3
33.75 | Northeast by north | 4
50.62 | Northeast | 5
50.63 | Northeast by east | 6
67.50 | East-northeast | 7
84.37 | East by north | 8
84.38 | East | 9
101.25 | East by south | 10
118.12 | East-southeast | 11
118.13 | Southeast by east | 12
135.00 | Southeast | 13
151.87 | Southeast by south | 14
151.88 | South-southeast | 15
168.75 | South by east | 16
185.62 | South | 17
185.63 | South by west | 18
202.50 | South-southwest | 19
219.37 | Southwest by south | 20
219.38 | Southwest | 21
236.25 | Southwest by west | 22
253.12 | West-southwest | 23
253.13 | West by south | 24
270.00 | West | 25
286.87 | West by north | 26
286.88 | West-northwest | 27
303.75 | Northwest by west | 28
320.62 | Northwest | 29
320.63 | Northwest by north | 30
337.50 | North-northwest | 31
354.37 | North by west | 32
354.38 | North | 1
M2000 Interpreter
In a For Next loop we can change loop variable inside block, but the actual loop hidden variable can't change so for next iteration we get the proper value.
Module CheckIt {
Locale 1033 'change decimal point char to dot.
Form 80,50 ' set console to 80 characters by 50 lines
\\ Function heading() get a positive double as degrees and return the compass index (1 for North)
Function heading(d) {
d1=d div 11.25
if d1 mod 3= 1 then d+=5.62 :d1=d div 11.25
=d1 mod 32 +1
}
Dim wind$(1 to 32)
wind$(1)="North", "North by east", "North-northeast", "Northeast by north", "Northeast"
wind$(6)="Northeast by east", "East-northeast", "East by north", "East", "East by south", "East-southeast"
wind$(12)="Southeast by east", "Southeast", "Southeast by south", "South-southeast", "South by east", "South"
wind$(18)="South by west", "South-southwest", "Southwest by south", "Southwest", "Southwest by west", "West-southwest"
wind$(24)="West by south", "West", "West by north", "West-northwest", "Northwest by west", "Northwest", "Northwest by north"
wind$(31)="North-northwest", "North by west"
oldvalue=-2
newvalue=2
Print " angle | box | compass point"
Print "-------+-----+---------------------"
For i=0 to 360 step 0.005
newvalue=heading(i)
if (newvalue mod 3) =2 then i+=5.62: newvalue=heading(i)
if oldvalue<>newvalue then Print format$("{0:2:-6}°| {1::-2} | {2}",i, newvalue, wind$(newvalue)) : oldvalue=newvalue : refresh
Next i
}
CheckIt
{{out}}
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=={{header|Mathematica}} / {{header|Wolfram Language}}== ```Mathematica Map[List[Part[#,1], dirs[[Part[#,1]]], ToString@Part[#,2]<>"°"]&, Map[{Floor[Mod[ #+5.625 , 360]/11.25]+1,#}&,input] ]//TableForm ``` ```txt 1 North 0.° 2 North by east 16.87° 3 North-northeast 16.88° 4 Northeast by north 33.75° 5 Northeast 50.62° 6 Northeast by east 50.63° 7 East-northeast 67.5° 8 East by north 84.37° 9 East 84.38° 10 East by Southeast 101.25° 11 East-southeast 118.12° 12 Southeast by east 118.13° 13 Southeast 135.° 14 Southeast by south 151.87° 15 South-southeast 151.88° 16 South by east 168.75° 17 South 185.62° 18 South by West 185.63° 19 South-southwest 202.5° 20 Southwest by south 219.37° 21 Southwest 219.38° 22 Southwest by west 236.25° 23 West-southwest 253.12° 24 West by south 253.13° 25 West 270.° 26 West by north 286.87° 27 West-northwest 286.88° 28 Northwest by west 303.75° 29 Northwest 320.62° 30 Northwest by north 320.63° 31 North-northwest 337.5° 32 North by west 354.37° 1 North 354.38° ``` =={{header|MATLAB}} / {{header|Octave}}== ```MATLAB function b = compassbox(d) b = ceil(mod(d+360/64,360)*32/360); end; ``` Output: ```txt >> 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 ``` =={{header|Modula-2}}== ```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. ``` ## MUMPS The TCL implementation was the starting point, but this isn't an exact translation. ```MUMPS BOXING(DEGREE) ;This takes in a degree heading, nominally from 0 to 360, and returns the compass point name. QUIT:((DEGREE<0)||(DEGREE>360)) "land lubber can't read a compass" NEW DIRS,UNP,UNPACK,SEP,DIR,DOS,D,DS,I,F SET DIRS="N^NbE^N-NE^NEbN^NE^NEbE^E-NE^EbN^E^EbS^E-SE^SEbE^SE^SEbS^S-SE^SbE^" SET DIRS=DIRS_"S^SbW^S-SW^SWbS^SW^SWbW^W-SW^WbS^W^WbN^W-NW^NWbW^NW^NWbN^N-NW^NbW" SET UNP="NESWb" SET UNPACK="north^east^south^west^ by " SET SEP=360/$LENGTH(DIRS,"^") SET DIR=(DEGREE/SEP)+1.5 SET DIR=$SELECT((DIR>33):DIR-32,1:DIR) SET DOS=$NUMBER(DIR-.5,0) SET D=$PIECE(DIRS,"^",DIR) SET DS="" FOR I=1:1:$LENGTH(D) DO . SET F=$FIND(UNP,$EXTRACT(D,I)) SET DS=DS_$SELECT((F>0):$PIECE(UNPACK,"^",F-1),1:$E(D,I)) KILL DIRS,UNP,UNPACK,SEP,DIR,D,I,F QUIT DOS_"^"_DS BOXWRITE NEW POINTS,UP,LO,DIR,P,X SET POINTS="0.0,16.87,16.88,33.75,50.62,50.63,67.5,84.37,84.38,101.25,118.12,118.13,135.0,151.87," SET POINTS=POINTS_"151.88,168.75,185.62,185.63,202.5,219.37,219.38,236.25,253.12,253.13,270.0,286.87," SET POINTS=POINTS_"286.88,303.75,320.62,320.63,337.5,354.37,354.38" SET UP="ABCDEFGHIJKLMNOPQRSTUVWXYZ" SET LO="abcdefghijklmnopqrstuvwxyz" FOR P=1:1:$LENGTH(POINTS,",") DO . SET X=$$BOXING($PIECE(POINTS,",",P)) . ;Capitalize the initial letter of the direction . SET DIR=$PIECE(X,"^",2) . SET DIR=$TRANSLATE($EXTRACT(DIR,1),LO,UP)_$EXTRACT(DIR,2,$LENGTH(DIR)) . WRITE $PIECE(X,"^"),?5,DIR,?40,$JUSTIFY($PIECE(POINTS,",",P),10,2),! KILL POINTS,UP,LO,DIR,P,X QUIT ```
Output: ```txt Debugger executing 'BOXWRITE^COMPASS' 1 North 0.00 2 North by east 16.87 3 North-northeast 16.88 4 Northeast by north 33.75 5 Northeast 50.62 6 Northeast by east 50.63 7 East-northeast 67.50 8 East by north 84.37 9 East 84.38 10 East by south 101.25 11 East-southeast 118.12 12 Southeast by east 118.13 13 Southeast 135.00 14 Southeast by south 151.87 15 South-southeast 151.88 16 South by east 168.75 17 South 185.62 18 South by west 185.63 19 South-southwest 202.50 20 Southwest by south 219.37 21 Southwest 219.38 22 Southwest by west 236.25 23 West-southwest 253.12 24 West by south 253.13 25 West 270.00 26 West by north 286.87 27 West-northwest 286.88 28 Northwest by west 303.75 29 Northwest 320.62 30 Northwest by north 320.63 31 North-northwest 337.50 32 North by west 354.37 1 North 354.38 ```
## NetRexx ```NetRexx /* NetRexx */ options replace format comments java crossref savelog symbols nobinary utf8 class RCBoxTheCompass properties public constant _FULL = '_FULL' properties indirect headings = Rexx rosepoints = Rexx /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method RCBoxTheCompass() public setHeadings(makeHeadings) setRosepoints(makeRosepoints) return /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method main(args = String[]) public static box = RCBoxTheCompass() cp = box.getCompassPoints loop r_ = 1 to cp[0] say cp[r_] end r_ say hx = box.getHeadingsReport(box.getHeadings) loop r_ = 1 to hx[0] say hx[r_] end r_ say return /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getDecimalAngle(degrees, minutes, seconds) public static returns Rexx degrees = degrees * 10 % 10 minutes = minutes * 10 % 10 angle = degrees + (minutes / 60 + (seconds / 60 / 60)) return angle /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getDegreesMinutesSeconds(angle) public static returns Rexx degrees = angle * 100 % 100 minutes = ((angle - degrees) * 60) * 100 % 100 seconds = ((((angle - degrees) * 60) - minutes) * 60) * 100 % 100 return degrees minutes seconds /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getHeadingsReport(bearings) public returns Rexx r_ = 0 table = '' r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' - 'Abbr' - 'Compass Point'.left(20) - 'Degrees'.right(10) loop h_ = 1 to bearings[0] heading = bearings[h_] index = getRosepointIndex(heading) parse getRosepoint(index) p_abbrev p_full r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) - p_abbrev.left(4) - p_full.left(20) - heading.format(6, 3).right(10) end h_ return table /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getRosepointIndex(heading) public returns Rexx one_pt = 360 / 32 hn = heading // 360 hi = hn % one_pt if hn > hi * one_pt + one_pt / 2 then do hi = hi + 1 -- greater than max range for this point; bump to next point end idx = hi // 32 + 1 -- add one to get index into rosepoints indexed string return idx /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getRosepoint(index) public returns Rexx rp = getRosepoints return rp[index] rp[index, _FULL] /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method makeRosepoints() private returns Rexx p_ = 0 rp = '' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'N'; rp[p_, _FULL] = 'North' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbE'; rp[p_, _FULL] = 'North by East' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNE'; rp[p_, _FULL] = 'North-Northeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbn'; rp[p_, _FULL] = 'Northeast by North' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NE'; rp[p_, _FULL] = 'Northeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NEbE'; rp[p_, _FULL] = 'Northeast by East' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ENE'; rp[p_, _FULL] = 'East-Northeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbN'; rp[p_, _FULL] = 'East by North' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'E'; rp[p_, _FULL] = 'East' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'EbS'; rp[p_, _FULL] = 'East by South' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'ESE'; rp[p_, _FULL] = 'East-Southeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbE'; rp[p_, _FULL] = 'Southeast by East' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SE'; rp[p_, _FULL] = 'Southeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SEbS'; rp[p_, _FULL] = 'Southeast by South' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSE'; rp[p_, _FULL] = 'South-Southeast' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbE'; rp[p_, _FULL] = 'South by East' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'S'; rp[p_, _FULL] = 'South' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SbW'; rp[p_, _FULL] = 'South by West' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SSW'; rp[p_, _FULL] = 'South-Southwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbS'; rp[p_, _FULL] = 'Southwest by South' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SW'; rp[p_, _FULL] = 'Southwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'SWbW'; rp[p_, _FULL] = 'Southwest by West' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WSW'; rp[p_, _FULL] = 'Southwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbS'; rp[p_, _FULL] = 'West by South' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'W'; rp[p_, _FULL] = 'West' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WbN'; rp[p_, _FULL] = 'West by North' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'WNW'; rp[p_, _FULL] = 'West-Northwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbW'; rp[p_, _FULL] = 'Northwest by West' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NW'; rp[p_, _FULL] = 'Northwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NWbN'; rp[p_, _FULL] = 'Northwest by North' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NNW'; rp[p_, _FULL] = 'North-Northwest' p_ = p_ + 1; rp[0] = p_; rp[p_] = 'NbW'; rp[p_, _FULL] = 'North by West' return rp /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method makeHeadings() private returns Rexx hdg = '' hdg[0] = 0 points = 32 loop i_ = 0 to points heading = i_ * 360 / points select case i_ // 3 when 1 then heading_h = heading + 5.62 when 2 then heading_h = heading - 5.62 otherwise heading_h = heading end ix = hdg[0] + 1; hdg[0] = ix; hdg[ix] = heading_h end i_ return hdg /* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ */ method getCompassPoints() public returns Rexx r_ = 0 table = '' r_ = r_ + 1; table[0] = r_; table[r_] = 'Idx' - 'Abbr' - 'Compass Point'.left(20) - 'Low (Deg.)'.right(10) - 'Mid (Deg.)'.right(10) - 'Hi (Deg.)'.right(10) -- one point of the compass is 360 / 32 (11.25) degrees -- using functions to calculate this just for fun one_pt = 360 / 32 parse getDegreesMinutesSeconds(one_pt / 2) ad am as . points = 32 loop h_ = 0 to points - 1 heading = h_ * 360 / points hmin = heading - getDecimalAngle(ad, am, as) hmax = heading + getDecimalAngle(ad, am, as) if hmin < 0 then do hmin = hmin + 360 end if hmax >= 360 then do hmax = hmax - 360 end index = getRosepointIndex(heading) parse getRosepoint(index) p_abbrev p_full r_ = r_ + 1; table[0] = r_; table[r_] = index.right(3) - p_abbrev.left(4) - p_full.left(20) - hmin.format(6, 3).right(10) - heading.format(6, 3).right(10) - hmax.format(6, 3).right(10) end h_ return table ``` ;Output
Idx Abbr Compass Point Low (Deg.) Mid (Deg.) Hi (Deg.)
1 N North 354.375 0.000 5.625
2 NbE North by East 5.625 11.250 16.875
3 NNE North-Northeast 16.875 22.500 28.125
4 NEbn Northeast by North 28.125 33.750 39.375
5 NE Northeast 39.375 45.000 50.625
6 NEbE Northeast by East 50.625 56.250 61.875
7 ENE East-Northeast 61.875 67.500 73.125
8 EbN East by North 73.125 78.750 84.375
9 E East 84.375 90.000 95.625
10 EbS East by South 95.625 101.250 106.875
11 ESE East-Southeast 106.875 112.500 118.125
12 SEbE Southeast by East 118.125 123.750 129.375
13 SE Southeast 129.375 135.000 140.625
14 SEbS Southeast by South 140.625 146.250 151.875
15 SSE South-Southeast 151.875 157.500 163.125
16 SbE South by East 163.125 168.750 174.375
17 S South 174.375 180.000 185.625
18 SbW South by West 185.625 191.250 196.875
19 SSW South-Southwest 196.875 202.500 208.125
20 SWbS Southwest by South 208.125 213.750 219.375
21 SW Southwest 219.375 225.000 230.625
22 SWbW Southwest by West 230.625 236.250 241.875
23 WSW Southwest 241.875 247.500 253.125
24 WbS West by South 253.125 258.750 264.375
25 W West 264.375 270.000 275.625
26 WbN West by North 275.625 281.250 286.875
27 WNW West-Northwest 286.875 292.500 298.125
28 NWbW Northwest by West 298.125 303.750 309.375
29 NW Northwest 309.375 315.000 320.625
30 NWbN Northwest by North 320.625 326.250 331.875
31 NNW North-Northwest 331.875 337.500 343.125
32 NbW North by West 343.125 348.750 354.375
Idx Abbr Compass Point Degrees
1 N North 0.000
2 NbE North by East 16.870
3 NNE North-Northeast 16.880
4 NEbn Northeast by North 33.750
5 NE Northeast 50.620
6 NEbE Northeast by East 50.630
7 ENE East-Northeast 67.500
8 EbN East by North 84.370
9 E East 84.380
10 EbS East by South 101.250
11 ESE East-Southeast 118.120
12 SEbE Southeast by East 118.130
13 SE Southeast 135.000
14 SEbS Southeast by South 151.870
15 SSE South-Southeast 151.880
16 SbE South by East 168.750
17 S South 185.620
18 SbW South by West 185.630
19 SSW South-Southwest 202.500
20 SWbS Southwest by South 219.370
21 SW Southwest 219.380
22 SWbW Southwest by West 236.250
23 WSW Southwest 253.120
24 WbS West by South 253.130
25 W West 270.000
26 WbN West by North 286.870
27 WNW West-Northwest 286.880
28 NWbW Northwest by West 303.750
29 NW Northwest 320.620
30 NWbN Northwest by North 320.630
31 NNW North-Northwest 337.500
32 NbW North by West 354.370
1 N North 354.380
```
## Nim
```nim
import strfmt
const names = [
"North", "North by east", "North-northeast", "Northeast by north",
"Northeast", "Northeast by east", "East-northeast", "East by north",
"East", "East by south", "East-southeast", "Southeast by east",
"Southeast", "Southeast by south","South-southeast", "South by east",
"South", "South by west", "South-southwest", "Southwest by south",
"Southwest", "Southwest by west", "West-southwest", "West by south",
"West", "West by north", "West-northwest", "Northwest by west",
"Northwest", "Northwest by north", "North-northwest", "North by west", "North"]
for i in 0..32:
let j = i mod 32
var d = float(i) * 11.25
if i mod 3 == 1: d += 5.62
if i mod 3 == 2: d -= 5.62
printlnfmt "{:2} {:18} {:>6.2f}", j + 1, names[j], d
```
Output:
```txt
1 North 0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
```
## Objeck
```objeck
class BoxCompass {
function : Main(args : String[]) ~ Nil {
points := [
"North ", "North by east ", "North-northeast ",
"Northeast by north", "Northeast ", "Northeast by east ", "East-northeast ",
"East by north ", "East ", "East by south ", "East-southeast ",
"Southeast by east ", "Southeast ", "Southeast by south", "South-southeast ",
"South by east ", "South ", "South by west ", "South-southwest ",
"Southwest by south", "Southwest ", "Southwest by west ", "West-southwest ",
"West by south ", "West ", "West by north ", "West-northwest ",
"Northwest by west ", "Northwest ", "Northwest by north", "North-northwest ",
"North by west " ];
for(i := 0; i<= 32; i += 1;) {
heading := i * 11.25;
select(i % 3) {
label 1: {
heading += 5.62;
}
label 2: {
heading -= 5.62;
}
};
IO.Console->Print((i % 32) + 1)->Print('\t')->Print(points[GetPoint(heading)])
->Print('\t')->PrintLine(heading);
};
}
function : GetPoint(degrees : Float) ~ Int {
return (degrees / 11.25 + 0.5)->Floor()->As(Int) % 32;
}
}
```
Output
```txt
1 North 0
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.5
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.5
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.5
32 North by west 354.37
1 North 354.38
```
## OCaml
```ocaml
let test_cases = [0.0; 16.87; 16.88; 33.75; 50.62; 50.63; 67.5;
84.37; 84.38; 101.25; 118.12; 118.13; 135.0;
151.87; 151.88; 168.75; 185.62; 185.63; 202.5;
219.37; 219.38; 236.25; 253.12; 253.13; 270.0;
286.87; 286.88; 303.75; 320.62; 320.63; 337.5;
354.37; 354.38];;
let directions = ["North"; "North by East"; "North-Northeast";
"Northeast by North"; "Northeast";
"Northeast by East"; "East-Northeast"; "East by North";
"East"; "East by South"; "East-Southeast";
"Southeast by East"; "Southeast"; "Southeast by South";
"South-Southeast"; "South by East"; "South";
"South by West"; "South-Southwest"; "Southwest by South";
"Southwest"; "Southwest by West"; "West-Southwest";
"West by South"; "West"; "West by North";
"West-Northwest"; "Northwest by West"; "Northwest";
"Northwest by North"; "North-Northwest"; "North by West";];;
let get_direction_index input =
let shifted = (input +. 5.6201) in
let shifted = if shifted > 360. then shifted -. 360. else shifted in
int_of_float (shifted /. 11.25);;
let print_direction input =
let index = get_direction_index input in
let direction = List.nth directions index in
let test = Printf.printf "%3d %-20s %.2f\n" (index + 1) direction in
test input;;
List.iter (print_direction) test_cases;;
```
Sample output:
```txt
1 North 0.00
2 North by East 16.87
3 North-Northeast 16.88
4 Northeast by North 33.75
5 Northeast 50.62
6 Northeast by East 50.63
7 East-Northeast 67.50
8 East by North 84.37
9 East 84.38
10 East by South 101.25
11 East-Southeast 118.12
12 Southeast by East 118.13
13 Southeast 135.00
14 Southeast by South 151.87
15 South-Southeast 151.88
16 South by East 168.75
17 South 185.62
18 South by West 185.63
19 South-Southwest 202.50
20 Southwest by South 219.37
21 Southwest 219.38
22 Southwest by West 236.25
23 West-Southwest 253.12
24 West by South 253.13
25 West 270.00
26 West by North 286.87
27 West-Northwest 286.88
28 Northwest by West 303.75
29 Northwest 320.62
30 Northwest by North 320.63
31 North-Northwest 337.50
32 North by West 354.37
1 North 354.38
```
## OoRexx
```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
```
;Output
1 N North 354.375° (354°22′30″) 0.000° ( 0°00′00″) 5.625° ( 5°37′30″)
2 NbE North by East 5.625° ( 5°37′30″) 11.250° ( 11°15′00″) 16.875° ( 16°52′30″)
3 NNE North-Northeast 16.875° ( 16°52′30″) 22.500° ( 22°30′00″) 28.125° ( 28°07′30″)
4 NEbn Northeast by North 28.125° ( 28°07′30″) 33.750° ( 33°45′00″) 39.375° ( 39°22′30″)
5 NE Northeast 39.375° ( 39°22′30″) 45.000° ( 45°00′00″) 50.625° ( 50°37′30″)
6 NEbE Northeast by East 50.625° ( 50°37′30″) 56.250° ( 56°15′00″) 61.875° ( 61°52′30″)
7 ENE East-Northeast 61.875° ( 61°52′30″) 67.500° ( 67°30′00″) 73.125° ( 73°07′30″)
8 EbN East by North 73.125° ( 73°07′30″) 78.750° ( 78°45′00″) 84.375° ( 84°22′30″)
9 E East 84.375° ( 84°22′30″) 90.000° ( 90°00′00″) 95.625° ( 95°37′30″)
10 EbS East by South 95.625° ( 95°37′30″) 101.250° (101°15′00″) 106.875° (106°52′30″)
11 ESE East-Southeast 106.875° (106°52′30″) 112.500° (112°30′00″) 118.125° (118°07′30″)
12 SEbE Southeast by East 118.125° (118°07′30″) 123.750° (123°45′00″) 129.375° (129°22′30″)
13 SE Southeast 129.375° (129°22′30″) 135.000° (135°00′00″) 140.625° (140°37′30″)
14 SEbS Southeast by South 140.625° (140°37′30″) 146.250° (146°15′00″) 151.875° (151°52′30″)
15 SSE South-Southeast 151.875° (151°52′30″) 157.500° (157°30′00″) 163.125° (163°07′30″)
16 SbE South by East 163.125° (163°07′30″) 168.750° (168°45′00″) 174.375° (174°22′30″)
17 S South 174.375° (174°22′30″) 180.000° (180°00′00″) 185.625° (185°37′30″)
18 SbW South by West 185.625° (185°37′30″) 191.250° (191°15′00″) 196.875° (196°52′30″)
19 SSW South-Southwest 196.875° (196°52′30″) 202.500° (202°30′00″) 208.125° (208°07′30″)
20 SWbS Southwest by South 208.125° (208°07′30″) 213.750° (213°45′00″) 219.375° (219°22′30″)
21 SW Southwest 219.375° (219°22′30″) 225.000° (225°00′00″) 230.625° (230°37′30″)
22 SWbW Southwest by West 230.625° (230°37′30″) 236.250° (236°15′00″) 241.875° (241°52′30″)
23 WSW Southwest 241.875° (241°52′30″) 247.500° (247°30′00″) 253.125° (253°07′30″)
24 WbS West by South 253.125° (253°07′30″) 258.750° (258°45′00″) 264.375° (264°22′30″)
25 W West 264.375° (264°22′30″) 270.000° (270°00′00″) 275.625° (275°37′30″)
26 WbN West by North 275.625° (275°37′30″) 281.250° (281°15′00″) 286.875° (286°52′30″)
27 WNW West-Northwest 286.875° (286°52′30″) 292.500° (292°30′00″) 298.125° (298°07′30″)
28 NWbW Northwest by West 298.125° (298°07′30″) 303.750° (303°45′00″) 309.375° (309°22′30″)
29 NW Northwest 309.375° (309°22′30″) 315.000° (315°00′00″) 320.625° (320°37′30″)
30 NWbN Northwest by North 320.625° (320°37′30″) 326.250° (326°15′00″) 331.875° (331°52′30″)
31 NNW North-Northwest 331.875° (331°52′30″) 337.500° (337°30′00″) 343.125° (343°07′30″)
32 NbW North by West 343.125° (343°07′30″) 348.750° (348°45′00″) 354.375° (354°22′30″)
1 N North 0.000° ( 0°00′00″)
2 NbE North by East 16.870° ( 16°52′12″)
3 NNE North-Northeast 16.880° ( 16°52′48″)
4 NEbn Northeast by North 33.750° ( 33°45′00″)
5 NE Northeast 50.620° ( 50°37′12″)
6 NEbE Northeast by East 50.630° ( 50°37′48″)
7 ENE East-Northeast 67.500° ( 67°30′00″)
8 EbN East by North 84.370° ( 84°22′12″)
9 E East 84.380° ( 84°22′48″)
10 EbS East by South 101.250° (101°15′00″)
11 ESE East-Southeast 118.120° (118°07′12″)
12 SEbE Southeast by East 118.130° (118°07′48″)
13 SE Southeast 135.000° (135°00′00″)
14 SEbS Southeast by South 151.870° (151°52′12″)
15 SSE South-Southeast 151.880° (151°52′48″)
16 SbE South by East 168.750° (168°45′00″)
17 S South 185.620° (185°37′12″)
18 SbW South by West 185.630° (185°37′48″)
19 SSW South-Southwest 202.500° (202°30′00″)
20 SWbS Southwest by South 219.370° (219°22′12″)
21 SW Southwest 219.380° (219°22′48″)
22 SWbW Southwest by West 236.250° (236°15′00″)
23 WSW Southwest 253.120° (253°07′12″)
24 WbS West by South 253.130° (253°07′48″)
25 W West 270.000° (270°00′00″)
26 WbN West by North 286.870° (286°52′12″)
27 WNW West-Northwest 286.880° (286°52′48″)
28 NWbW Northwest by West 303.750° (303°45′00″)
29 NW Northwest 320.620° (320°37′12″)
30 NWbN Northwest by North 320.630° (320°37′48″)
31 NNW North-Northwest 337.500° (337°30′00″)
32 NbW North by West 354.370° (354°22′12″)
1 N North 354.380° (354°22′48″)
```
## PARI/GP
```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))
```
Output:
```txt
1 North 0
2 North by east 16.8700000
3 North-northeast 16.8800000
4 Northeast by north 33.7500000
5 Northeast 50.6200000
6 Northeast by east 50.6300000
7 East-northeast 67.5000000
8 East by north 84.3700000
9 East 84.3800000
10 East by south 101.250000
11 East-southeast 118.120000
12 Southeast by east 118.130000
13 Southeast 135.000000
14 Southeast by south 151.870000
15 South-southeast 151.880000
16 South by east 168.750000
17 South 185.620000
18 South by west 185.630000
19 South-southwest 202.500000
20 Southwest by south 219.370000
21 Southwest 219.380000
22 Southwest by west 236.250000
23 West-southwest 253.120000
24 West by south 253.130000
25 West 270.000000
26 West by north 286.870000
27 West-northwest 286.880000
28 Northwest by west 303.750000
29 Northwest 320.620000
30 Northwest by north 320.630000
31 North-northwest 337.500000
32 North by west 354.370000
1 North 354.380000
```
## Pascal
{{trans|Fortran}}
```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.
```
Output:
```txt
:> ./BoxTheCompass
1 North 0.0000
2 North by east 16.8700
3 North-northeast 16.8800
4 Northeast by north 33.7500
5 Northeast 50.6200
6 Northeast by east 50.6300
7 East-northeast 67.5000
8 East by north 84.3700
9 East 84.3800
10 East by south 101.2500
11 East-southeast 118.1200
12 Southeast by east 118.1300
13 Southeast 135.0000
14 Southeast by south 151.8700
15 South-southeast 151.8800
16 South by east 168.7500
17 South 185.6200
18 South by west 185.6300
19 South-southwest 202.5000
20 Southwest by south 219.3700
21 Southwest 219.3800
22 Southwest by west 236.2500
23 West-southwest 253.1200
24 West by south 253.1300
25 West 270.0000
26 West by north 286.8700
27 West-northwest 286.8800
28 Northwest by west 303.7500
29 Northwest 320.6200
30 Northwest by north 320.6300
31 North-northwest 337.5000
32 North by west 354.3700
1 North 354.3800
```
## Perl
Don't waste brain cells calculating names, not worth the effort. Code is probably shorter, faster, and easier to read this way.
```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], $_;
}
```
output 1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
```
## Perl 6
{{works with|Rakudo|2015.12}}
```perl6
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(($ix +| 8) +& 24)" }
else
{ [$ix div 8]; }
}
sub test-angle ($ix) { $ix * 11.25 + (0, 5.62, -5.62)[ $ix % 3 ] }
sub angle-to-point(\𝜽) { floor 𝜽 / 360 * 32 + 0.5 }
for 0 .. 32 -> $ix {
my \𝜽 = test-angle($ix);
printf " %2d %6.2f° %s\n",
$ix % 32 + 1,
𝜽,
tc point angle-to-point 𝜽;
}
```
Output:
```txt
1 0.00° North
2 16.87° North by east
3 16.88° North-northeast
4 33.75° Northeast by north
5 50.62° Northeast
6 50.63° Northeast by east
7 67.50° East-northeast
8 84.37° East by north
9 84.38° East
10 101.25° East by south
11 118.12° East-southeast
12 118.13° Southeast by east
13 135.00° Southeast
14 151.87° Southeast by south
15 151.88° South-southeast
16 168.75° South by east
17 185.62° South
18 185.63° South by west
19 202.50° South-southwest
20 219.37° Southwest by south
21 219.38° Southwest
22 236.25° Southwest by west
23 253.12° West-southwest
24 253.13° West by south
25 270.00° West
26 286.87° West by north
27 286.88° West-northwest
28 303.75° Northwest by west
29 320.62° Northwest
30 320.63° Northwest by north
31 337.50° North-northwest
32 354.37° North by west
1 354.38° North
```
## Phix
Unlike the Perl guy, for me the maths is the boring bit, building those strings is the fun!
```Phix
function get225(integer d, string p1, string p2, string p4)
string p3
p3 = p1&'-'&lower(p2)
p2 &= " by "&lower(p1)
p1 &= " by "&lower(p4)
if d then
return {p1,p3,p2} -- eg {North by east,North-northeast,Northeast by north}
else
return {p2,p3,p1} -- eg {Northeast by east,East-northeast,East by north}
end if
end function
function get45(sequence res, integer d, string p1, string p2)
string p3
res = append(res,p1) -- North/East/South/West
if d then
p3 = p1&lower(p2) -- Northeast/Southwest
else
p3 = p2&lower(p1) -- Southeast/Northwest
end if
res &= get225(1,p1,p3,p2) -- eg get225(1,North,Northeast,East)
-- -> {North by east,North-northeast,Northeast by north}
res = append(res,p3) -- Northeast/Southeast/Southwest/Northwest
res &= get225(0,p2,p3,p1) -- eg get225(0,East,Northeast,North)
-- -> {Northeast by east,East-northeast,East by north}
return res
end function
function get90(sequence points)
sequence res = {}
for i=1 to length(points) do
res = get45(res,remainder(i,2),points[i],points[remainder(i,4)+1])
end for -- ie get45(1,North,East)
-- get45(0,East,South)
-- get45(1,South,West)
-- get45(0,West,North)
return res
end function
constant compass_points = get90({"North","East","South","West"})
atom test_point
integer compass_point
for i = 1 to 33 do
test_point = (i-1)*11.25 + 5.62*(remainder(i,3)-1)
compass_point = remainder(floor(test_point*32/360+0.5),32)+1
printf(1, "%2d %-22s %6.2f\n", {compass_point, compass_points[compass_point], test_point})
end for
```
If you like, you can regard d=1 (both of them) as "clockwise-name-inherit" and d=0 as "anti-clockwise-name-inherit".
{{out}}
```txt
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
```
of course the following (more sensible but less fun) way works just as well, and produces the same output
```Phix
constant compass_points = { "North", "North by east", "North-northeast", "Northeast by north",
"Northeast", "Northeast by east", "East-northeast", "East by north",
"East", "East by south", "East-southeast", "Southeast by east",
"Southeast", "Southeast by south", "South-southeast", "South by east",
"South", "South by west", "South-southwest", "Southwest by south",
"Southwest", "Southwest by west", "West-southwest", "West by south",
"West", "West by north", "West-northwest", "Northwest by west",
"Northwest", "Northwest by north", "North-northwest", "North by west"},
test_points = { 0.0, 16.87, 16.88, 33.75, 50.62, 50.63, 67.5, 84.37, 84.38, 101.25, 118.12,
118.13, 135.0, 151.87, 151.88, 168.75, 185.62, 185.63, 202.5, 219.37, 219.38, 236.25,
253.12, 253.13, 270.0, 286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38}
for i=1 to length(test_points) do
integer compass_point = remainder(floor(test_points[i]*32/360+0.5),32)+1
printf(1, "%2d %-22s %6.2f\n", {compass_point, compass_points[compass_point], test_points[i]})
end for
```
## PicoLisp
```PicoLisp
(scl 3)
(setq *Compass # Build lookup table
(let H -16.875
(mapcar
'((Str)
(cons
(inc 'H 11.25) # Heading in degrees
(pack # Compass point
(replace (chop Str)
"N" "north"
"E" "east"
"S" "south"
"W" "west"
"b" " by " ) ) ) )
'("N" "NbE" "N-NE" "NEbN" "NE" "NEbE" "E-NE" "EbN"
"E" "EbS" "E-SE" "SEbE" "SE" "SEbS" "S-SE" "SbE"
"S" "SbW" "S-SW" "SWbS" "SW" "SWbW" "W-SW" "WbS"
"W" "WbN" "W-NW" "NWbW" "NW" "NWbN" "N-NW" "NbW"
"N" ) ) ) )
(de heading (Deg)
(rank (% Deg 360.00) *Compass) )
(for I (range 0 32)
(let H (* I 11.25)
(case (% I 3)
(1 (inc 'H 5.62))
(2 (dec 'H 5.62)) )
(tab (3 1 -18 8)
(inc (% I 32))
NIL
(cdr (heading H))
(round H 2) ) ) )
```
Output:
```txt
1 north 0.00
2 north by east 16.87
3 north-northeast 16.88
4 northeast by north 33.75
5 northeast 50.62
6 northeast by east 50.63
7 east-northeast 67.50
8 east by north 84.37
9 east 84.38
10 east by south 101.25
11 east-southeast 118.12
12 southeast by east 118.13
13 southeast 135.00
14 southeast by south 151.87
15 south-southeast 151.88
16 south by east 168.75
17 south 185.62
18 south by west 185.63
19 south-southwest 202.50
20 southwest by south 219.37
21 southwest 219.38
22 southwest by west 236.25
23 west-southwest 253.12
24 west by south 253.13
25 west 270.00
26 west by north 286.87
27 west-northwest 286.88
28 northwest by west 303.75
29 northwest 320.62
30 northwest by north 320.63
31 north-northwest 337.50
32 north by west 354.37
1 north 354.38
```
## PowerShell
```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 $_ }
```
{{out}}
```txt
north
north by east
north-northeast
northeast by north
northeast
northeast by east
east-northeast
east by north
east
east by south
east-southeast
southeast by east
southeast
southeast by south
south-southeast
south by east
south
south by west
south-southwest
southwest by south
southwest
southwest by west
west-southwest
west by south
west
west by north
west-northwest
northwest by west
northwest
northwest by north
north-northwest
north by west
north
```
A more general solution allowing you to choose whether to use 4, 8, 16, or 32 compass points.
```powershell
function Convert-DegreeToDirection ( [double]$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
```
{{out}}
```txt
Degree 32 16 8 4
------ -- -- - -
0 north north north north
16.87 north by east north-northeast north north
16.88 north-northeast north-northeast north north
33.75 northeast by north northeast northeast north
50.62 northeast northeast northeast east
50.63 northeast by east northeast northeast east
67.5 east-northeast east-northeast east east
84.37 east by north east east east
84.38 east east east east
101.25 east by south east-southeast east east
118.12 east-southeast east-southeast southeast east
118.13 southeast by east east-southeast southeast east
135 southeast southeast southeast south
151.87 southeast by south south-southeast southeast south
151.88 south-southeast south-southeast southeast south
168.75 south by east south south south
185.62 south south south south
185.63 south by west south south south
202.5 south-southwest south-southwest southwest south
219.37 southwest by south southwest southwest south
219.38 southwest southwest southwest south
236.25 southwest by west west-southwest southwest west
253.12 west-southwest west-southwest west west
253.13 west by south west-southwest west west
270 west west west west
286.87 west by north west-northwest west west
286.88 west-northwest west-northwest west west
303.75 northwest by west northwest northwest west
320.62 northwest northwest northwest north
320.63 northwest by north northwest northwest north
337.5 north-northwest north-northwest north north
354.37 north by west north north north
354.38 north north north north
```
## PureBasic
```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
```
Sample output:
```txt
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 354.38
```
## Prolog
Part 1 : The following knowledge base takes a heading in degrees and returns the correct 32-point compass heading. It can also go in the other direction.
```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.
```
Part 2 : The following rules print a table of indexes.
```prolog
printTableRow(Angle) :- compassangle(Index, Name, _, Angle),
write(Index), write(' '),
write(Name), write(' '),
write(Angle).
printTable([X|Xs]) :- printTableRow(X), nl, printTable(Xs),!.
printTable([]).
```
The following query prints the required table.
```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.
```
## Python
```python
majors = 'north east south west'.split()
majors *= 2 # no need for modulo later
quarter1 = 'N,N by E,N-NE,NE by N,NE,NE by E,E-NE,E by N'.split(',')
quarter2 = [p.replace('NE','EN') for p in quarter1]
def degrees2compasspoint(d):
d = (d % 360) + 360/64
majorindex, minor = divmod(d, 90.)
majorindex = int(majorindex)
minorindex = int( (minor*4) // 45 )
p1, p2 = majors[majorindex: majorindex+2]
if p1 in {'north', 'south'}:
q = quarter1
else:
q = quarter2
return q[minorindex].replace('N', p1).replace('E', p2).capitalize()
if __name__ == '__main__':
for i in range(33):
d = i * 11.25
m = i % 3
if m == 1: d += 5.62
elif m == 2: d -= 5.62
n = i % 32 + 1
print( '%2i %-18s %7.2f°' % (n, degrees2compasspoint(d), d) )
```
;Output
```txt
1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
```
## Racket
```racket
#lang racket
;;; Generate the headings and boxes
(define (i->heading/box i)
(values (let ((heading (* i #e11.25)))
(case (modulo i 3)
((1) (+ heading #e5.62))
((2) (- heading #e5.62))
(else heading)))
(add1 (modulo i 32))))
(define-values (headings-list box-list)
(for/lists (h-lst i-lst) ((i (in-range 0 (add1 32))))
(i->heading/box i)))
(define box-names
(list "North" "North by east" "North-northeast"
"Northeast by north" "Northeast" "Northeast by east"
"East-northeast" "East by north" "East" "East by south" "East-southeast"
"Southeast by east" "Southeast" "Southeast by south" "South-southeast"
"South by east" "South" "South by west" "South-southwest"
"Southwest by south" "Southwest" "Southwest by west"
"West-southwest" "West by south" "West" "West by north" "West-northwest"
"Northwest by west" "Northwest" "Northwest by north" "North-northwest"
"North by west"))
(define (heading->box h)
(let* ((n-boxes (length box-names))
(box-width (/ 360 n-boxes)))
(add1 (modulo (ceiling (- (/ h box-width) 1/2)) n-boxes))))
;;; displays a single row of the table, can also be used for titles
(define (display-row b a p)
(printf "~a | ~a | ~a~%"
(~a b #:width 2 #:align 'right)
(~a a #:width 6 #:align 'right)
(~a p)))
;;; display the table
(display-row "#" "Angle" "Point")
(displayln "---+--------+-------------------")
(for ((heading headings-list))
(let* ((box-number (heading->box heading)))
;; by coincidence, default value of the second argument to
;; real->decimal-string "decimal-digits" is 2,... just what we want!
(display-row box-number
(real->decimal-string heading)
(list-ref box-names (sub1 box-number)))))
(module+ test
(require rackunit)
;;; unit test heading->box (the business end of the implementation)
(check-= (heading->box 354.38) 1 0)
(check-= (heading->box 5.62) 1 0)
(check-= (heading->box 5.63) 2 0)
(check-= (heading->box 16.87) 2 0))
```
Output:
```txt
# | Angle | Point
---+--------+-------------------
1 | 0.00 | North
2 | 16.87 | North by east
3 | 16.88 | North-northeast
4 | 33.75 | Northeast by north
5 | 50.62 | Northeast
6 | 50.63 | Northeast by east
7 | 67.50 | East-northeast
8 | 84.37 | East by north
9 | 84.38 | East
10 | 101.25 | East by south
11 | 118.12 | East-southeast
12 | 118.13 | Southeast by east
13 | 135.00 | Southeast
14 | 151.87 | Southeast by south
15 | 151.88 | South-southeast
16 | 168.75 | South by east
17 | 185.62 | South
18 | 185.63 | South by west
19 | 202.50 | South-southwest
20 | 219.37 | Southwest by south
21 | 219.38 | Southwest
22 | 236.25 | Southwest by west
23 | 253.12 | West-southwest
24 | 253.13 | West by south
25 | 270.00 | West
26 | 286.87 | West by north
27 | 286.88 | West-northwest
28 | 303.75 | Northwest by west
29 | 320.62 | Northwest
30 | 320.63 | Northwest by north
31 | 337.50 | North-northwest
32 | 354.37 | North by west
1 | 354.38 | North
```
## REXX
This version does normalization of the (degree) heading and can also handle negative headings.
```rexx
/*REXX program "boxes the compass" [from degree (º) headings ───► a 32 point set]. */
parse arg $ /*allow º headings to be specified.*/
if $='' then $= 0 16.87 16.88 33.75 50.62 50.63 67.5 84.37 84.38 101.25 118.12 118.13 ,
135 151.87 151.88 168.75 185.62 185.63 202.5 219.37 219.38 236.25 ,
253.12 253.13 270 286.87 286.88 303.75 320.62 320.63 337.5 354.37 354.38
/* [↑] use default, they're in degrees*/
@pts= 'n nbe n-ne nebn ne nebe e-ne ebn e ebs e-se sebe se sebs s-se sbe',
"s sbw s-sw swbs sw swbw w-sw wbs w wbn w-nw nwbw nw nwbn n-nw nbw"
#= words(@pts) + 1 /*#: used for integer ÷ remainder (//)*/
dirs= 'north south east west' /*define cardinal compass directions. */
/* [↓] choose a glyph for degree (°).*/
if 4=='f4'x then degSym= "a1"x /*is this system an EBCDIC system? */
else degSym= "a7"x /*'f8'x is the degree symbol: ° vs º */
/*──────────────────────────── f8 vs a7*/
say right(degSym'heading', 30) center("compass heading", 20)
say right( '════════', 30) copies( "═", 20)
pad= ' ' /*used to interject a blank for output.*/
do j=1 for words($); x= word($, j) /*obtain one of the degree headings. */
say right( format(x, , 2)degSym, 30-1) pad boxHeading(x)
end /*j*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
boxHeading: y= arg(1)//360; if y<0 then y=360-y /*normalize heading within unit circle.*/
z= word(@pts, trunc(max(1, (y/11.25 +1.5) // #))) /*convert degrees─►heading*/
do k=1 for words(dirs); d= word(dirs, k)
z=changestr( left(d, 1), z, d)
end /*k*/ /* [↑] old, haystack, new*/
return changestr('b', z, " by ") /*expand "b" ───► " by ".*/
```
Some older REXXes don't have a '''changestr''' BIF, so one is included here ──► [[CHANGESTR.REX]].
'''output'''
```txt
ºheading compass heading
════════ ════════════════════
0.00º north
16.87º north by east
16.88º north-northeast
33.75º northeast by north
50.62º northeast
50.63º northeast by east
67.50º east-northeast
84.37º east by north
84.38º east
101.25º east by south
118.12º east-southeast
118.13º southeast by east
135.00º southeast
151.87º southeast by south
151.88º south-southeast
168.75º south by east
185.62º south
185.63º south by west
202.50º south-southwest
219.37º southwest by south
219.38º southwest
236.25º southwest by west
253.12º west-southwest
253.13º west by south
270.00º west
286.87º west by north
286.88º west-northwest
303.75º northwest by west
320.62º northwest
320.63º northwest by north
337.50º north-northwest
354.37º north by west
354.38º north
```
## Ring
```ring
# Project : Box the compass
names = ["North", "North by east", "North-northeast",
"Northeast by north", "Northeast", "Northeast by east", "East-northeast",
"East by north", "East", "East by south", "East-southeast",
"Southeast by east", "Southeast", "Southeast by south", "South-southeast",
"South by east", "South", "South by west", "South-southwest",
"Southwest by south", "Southwest", "Southwest by west", "West-southwest",
"West by south", "West", "West by north", "West-northwest",
"Northwest by west", "Northwest", "Northwest by north", "North-northwest",
"North by west", "North"]
degrees = [0, 16.87, 16.88, 33.75, 50.62, 50.63,
67.5, 84.37, 84.38, 101.25, 118.12, 118.13, 135, 151.87, 151.88, 168.75,
185.62, 185.63, 202.5, 219.37, 219.38, 236.25, 253.12, 253.13, 270,
286.87, 286.88, 303.75, 320.62, 320.63, 337.5, 354.37, 354.38]
for i = 1 to len(degrees)
j = floor((degrees[i] + 5.625) / 11.25)
if j > 31
j = j - 32
ok
see "" + degrees[i] + " " + j + " "
if j != 0
see "" + names[j+1] + nl
else
see "" + names[len(names)] + nl
ok
next
```
Output:
```txt
0 0 North
16.87 1 North by east
16.88 2 North-northeast
33.75 3 Northeast by north
50.62 4 Northeast
50.63 5 Northeast by east
67.50 6 East-northeast
84.37 7 East by north
84.38 8 East
101.25 9 East by south
118.12 10 East-southeast
118.13 11 Southeast by east
135 12 Southeast
151.87 13 Southeast by south
151.88 14 South-southeast
168.75 15 South by east
185.62 16 South
185.63 17 South by west
202.50 18 South-southwest
219.37 19 Southwest by south
219.38 20 Southwest
236.25 21 Southwest by west
253.12 22 West-southwest
253.13 23 West by south
270 24 West
286.87 25 West by north
286.88 26 West-northwest
303.75 27 Northwest by west
320.62 28 Northwest
320.63 29 Northwest by north
337.50 30 North-northwest
354.37 31 North by west
354.38 0 North
```
## Ruby
```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
```
{{output}}
1 north 0.00
2 north by east 16.87
3 north-northeast 16.88
4 northeast by north 33.75
5 northeast 50.62
6 northeast by east 50.63
7 east-northeast 67.50
8 east by north 84.37
9 east 84.38
10 east by south 101.25
11 east-southeast 118.12
12 southeast by east 118.13
13 southeast 135.00
14 southeast by south 151.87
15 south-southeast 151.88
16 south by east 168.75
17 south 185.62
18 south by west 185.63
19 south-southwest 202.50
20 southwest by south 219.37
21 southwest 219.38
22 southwest by west 236.25
23 west-southwest 253.12
24 west by south 253.13
25 west 270.00
26 west by north 286.87
27 west-northwest 286.88
28 northwest by west 303.75
29 northwest 320.62
30 northwest by north 320.63
31 north-northwest 337.50
32 north by west 354.37
1 north 354.38
```
## Run BASIC
```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 "
"
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 "";pointer;" ";compas$(hdng);" ";hdng;"
"
end
function compas$(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"
```
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
[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);
}
```
{{out}}
```txt
1 0.00° North
2 16.87° North by east
3 16.88° North-northeast
4 33.75° Northeast by north
5 50.62° Northeast
6 50.63° Northeast by east
7 67.50° East-northeast
8 84.37° East by north
9 84.38° East
10 101.25° East by south
11 118.12° East-southeast
12 118.13° Southeast by east
13 135.00° Southeast
14 151.87° Southeast by south
15 151.88° South-southeast
16 168.75° South by east
17 185.62° South
18 185.63° South by west
19 202.50° South-southwest
20 219.37° Southwest by south
21 219.38° Southwest
22 236.25° Southwest by west
23 253.12° West-southwest
24 253.13° West by south
25 270.00° West
26 286.87° West by north
27 286.88° West-northwest
28 303.75° Northwest by west
29 320.62° Northwest
30 320.63° Northwest by north
31 337.50° North-northwest
32 354.37° North by west
1 354.38° North
```
## smart BASIC
```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$= ""
html$&= "Boxing The Compass Abbr Min Med Max "&i&" "&point$(i,1)&" "&point$(i,2)&" "&point$(i,3)&" "&point$(i,4)&" "&point$(i,5)&"
"
BROWSER "compass" AT 0,0 SIZE sw-20,sh-20
BROWSER "compass" TEXT html$
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"
```
Output:
```txt
This chart actually displays as a table in a browser object running in smart Basic
Boxing The Compass Abbr Min Med Max
1 North N 354.38 0 5.62
2 North by east NbE 5.63 11.25 16.87
3 North-northeast NNE 16.88 22.50 28.12
4 Northeast by north NEbN 28.13 33.75 39.37
5 Northeast NE 39.38 45.00 50.62
6 Northeast by east NEbE 50.63 56.25 61.87
7 East-northeast ENE 61.88 67.50 73.12
8 East by north EbN 73.13 78.75 84.37
9 East E 84.38 90.00 95.62
10 East by south EbS 95.63 101.25 106.87
11 East-southeast ESE 106.88 112.50 118.12
12 Southeast by east SEbE 118.13 123.75 129.37
13 Southeast SE 129.38 135.00 140.62
14 Southeast by south SEbS 140.63 146.25 151.87
15 South-southeast SSE 151.88 157.50 163.12
16 South by east SbE 163.13 168.75 174.37
17 South S 174.38 180.00 185.62
18 South by west SbW 185.63 191.25 196.87
19 South-southwest SSW 196.88 202.50 208.12
20 Southwest by south SWbS 208.13 213.75 219.37
21 Southwest SW 219.38 225.00 230.62
22 Southwest by west SWbW 230.63 236.25 241.87
23 West-southwest WSW 241.88 247.50 253.12
24 West by south WbS 253.13 258.75 264.37
25 West W 264.38 270.00 275.62
26 West by north WbN 275.63 281.25 286.87
27 West-northwest WNW 286.88 292.50 298.12
28 Northwest by west NWbW 298.13 303.75 309.37
29 Northwest NW 309.38 315.00 320.62
30 Northwest by north NWbN 320.63 326.25 331.87
31 North-northwest NNW 331.88 337.50 343.12
32 North by west NbW 343.13 348.75 354.37
```
## Tcl
```tcl
proc angle2compass {angle} {
set dirs {
N NbE N-NE NEbN NE NEbE E-NE EbN E EbS E-SE SEbE SE SEbS S-SE SbE
S SbW S-SW SWbS SW SWbW W-SW WbS W WbN W-NW NWbW NW NWbN N-NW NbW
}
set unpack {N "north" E "east" W "west" S "south" b " by "}
# Compute the width of each compass segment
set sep [expr {360.0 / [llength $dirs]}]
# Work out which segment contains the compass angle
set dir [expr {round((fmod($angle + $sep/2, 360) - $sep/2) / $sep)}]
# Convert to a named direction, capitalized as in the wikipedia article
return [string totitle [string map $unpack [lindex $dirs $dir]]]
}
# Box the compass, using the variable generation algorithm described
for {set i 0} {$i < 33} {incr i} {
set heading [expr {$i * 11.25}]
if {$i % 3 == 1} {set heading [expr {$heading + 5.62}]}
if {$i % 3 == 2} {set heading [expr {$heading - 5.62}]}
set index [expr {$i % 32 + 1}]
# Pretty-print the results of converting an angle to a compass heading
puts [format "%2i %-18s %7.2f°" $index [angle2compass $heading] $heading]
}
```
Output:
```txt
1 North 0.00°
2 North by east 16.87°
3 North-northeast 16.88°
4 Northeast by north 33.75°
5 Northeast 50.62°
6 Northeast by east 50.63°
7 East-northeast 67.50°
8 East by north 84.37°
9 East 84.38°
10 East by south 101.25°
11 East-southeast 118.12°
12 Southeast by east 118.13°
13 Southeast 135.00°
14 Southeast by south 151.87°
15 South-southeast 151.88°
16 South by east 168.75°
17 South 185.62°
18 South by west 185.63°
19 South-southwest 202.50°
20 Southwest by south 219.37°
21 Southwest 219.38°
22 Southwest by west 236.25°
23 West-southwest 253.12°
24 West by south 253.13°
25 West 270.00°
26 West by north 286.87°
27 West-northwest 286.88°
28 Northwest by west 303.75°
29 Northwest 320.62°
30 Northwest by north 320.63°
31 North-northwest 337.50°
32 North by west 354.37°
1 North 354.38°
```
## uBasic/4tH
{{trans|C}}
Since uBasic is an integer interpreter, we have to do some scaling to perform this task.
Push 0, 1687, 1688, 3375, 5062, 5063, 6750, 8437, 8438, 10125, 11812, 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
```
{{out}}
```txt
1 North 0.00
2 North by east 16.87
3 North-northeast 16.88
4 Northeast by north 33.75
5 Northeast 50.62
6 Northeast by east 50.63
7 East-northeast 67.50
8 East by north 84.37
9 East 84.38
10 East by south 101.25
11 East-southeast 118.12
12 Southeast by east 118.13
13 Southeast 135.00
14 Southeast by south 151.87
15 South-southeast 151.88
16 South by east 168.75
17 South 185.62
18 South by west 185.63
19 South-southwest 202.50
20 Southwest by south 219.37
21 Southwest 219.38
22 Southwest by west 236.25
23 West-southwest 253.12
24 West by south 253.13
25 West 270.00
26 West by north 286.87
27 West-northwest 286.88
28 Northwest by west 303.75
29 Northwest 320.62
30 Northwest by north 320.63
31 North-northwest 337.50
32 North by west 354.37
1 North 354.38
0 OK, 0:900
```
## UNIX Shell
{{works with|Bourne Again SHell}}
{{trans|Logo}}
Requires the standard POSIX bc(1) and sed(1) commands to function.
```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 a string
function capitalize {
echo "$1" | sed 's/^./\U&/'
}
# 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 {
#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
```
Output:
```txt
Degrees | Closest Point | Index
0.00 | North | 1
16.87 | North by east | 2
16.88 | North-northeast | 3
33.75 | Northeast by north | 4
50.62 | Northeast | 5
50.63 | Northeast by east | 6
67.50 | East-northeast | 7
84.37 | East by north | 8
84.38 | East | 9
101.25 | East by south | 10
118.12 | East-southeast | 11
118.13 | Southeast by east | 12
135.00 | Southeast | 13
151.87 | Southeast by south | 14
151.88 | South-southeast | 15
168.75 | South by east | 16
185.62 | South | 17
185.63 | South by west | 18
202.50 | South-southwest | 19
219.37 | Southwest by south | 20
219.38 | Southwest | 21
236.25 | Southwest by west | 22
253.12 | West-southwest | 23
253.13 | West by south | 24
270.00 | West | 25
286.87 | West by north | 26
286.88 | West-northwest | 27
303.75 | Northwest by west | 28
320.62 | Northwest | 29
320.63 | Northwest by north | 30
337.50 | North-northwest | 31
354.37 | North by west | 32
354.38 | North | 1
```
## VBA
```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
```
{{out}}
```txt
1 North 0
2 North by east 16,87
3 North-northeast 16,88
4 Northeast by north 33,75
5 Northeast 50,62
6 Northeast by east 50,63
7 East-northeast 67,5
8 East by north 84,37
9 East 84,38
10 East by south 101,25
11 East-southeast 118,12
12 Southeast by east 118,13
13 Southeast 135
14 Southeast by south 151,87
15 South-southeast 151,88
16 South by east 168,75
17 South 185,62
18 South by west 185,63
19 South-southwest 202,5
20 Southwest by south 219,37
21 Southwest 219,38
22 Southwest by west 236,25
23 West-southwest 253,12
24 West by south 253,13
25 West 270
26 West by north 286,87
27 West-northwest 286,88
28 Northwest by west 303,75
29 Northwest 320,62
30 Northwest by north 320,63
31 North-northwest 337,5
32 North by west 354,37
1 North 354,38
```
## Visual Basic .NET
```vbnet
Module BoxingTheCompass
Dim _points(32) As String
Sub Main()
BuildPoints()
Dim heading As Double = 0D
For i As Integer = 0 To 32
heading = i * 11.25
Select Case i Mod 3
Case 1
heading += 5.62
Case 2
heading -= 5.62
End Select
Console.WriteLine("{0,2}: {1,-18} {2,6:F2}°", (i Mod 32) + 1, InitialUpper(GetPoint(heading)), heading)
Next
End Sub
Private Sub BuildPoints()
Dim cardinal As String() = New String() {"north", "east", "south", "west"}
Dim pointDesc As String() = New String() {"1", "1 by 2", "1-C", "C by 1", "C", "C by 2", "2-C", "2 by 1"}
Dim str1, str2, strC As String
For i As Integer = 0 To 3
str1 = cardinal(i)
str2 = cardinal((i + 1) Mod 4)
strC = IIf(str1 = "north" Or str1 = "south", str1 & str2, str2 & str1)
For j As Integer = 0 To 7
_points(i * 8 + j) = pointDesc(j).Replace("1", str1).Replace("2", str2).Replace("C", strC)
Next
Next
End Sub
Private Function InitialUpper(ByVal s As String) As String
Return s.Substring(0, 1).ToUpper() & s.Substring(1)
End Function
Private Function GetPoint(ByVal Degrees As Double) As String
Dim testD As Double = (Degrees / 11.25) + 0.5
Return _points(CInt(Math.Floor(testD Mod 32)))
End Function
End Module
```
Output:
```txt
1: North 0.00°
2: North by east 16.87°
3: North-northeast 16.88°
4: Northeast by north 33.75°
5: Northeast 50.62°
6: Northeast by east 50.63°
7: East-northeast 67.50°
8: East by north 84.37°
9: East 84.38°
10: East by south 101.25°
11: East-southeast 118.12°
12: Southeast by east 118.13°
13: Southeast 135.00°
14: Southeast by south 151.87°
15: South-southeast 151.88°
16: South by east 168.75°
17: South 185.62°
18: South by west 185.63°
19: South-southwest 202.50°
20: Southwest by south 219.37°
21: Southwest 219.38°
22: Southwest by west 236.25°
23: West-southwest 253.12°
24: West by south 253.13°
25: West 270.00°
26: West by north 286.87°
27: West-northwest 286.88°
28: Northwest by west 303.75°
29: Northwest 320.62°
30: Northwest by north 320.63°
31: North-northwest 337.50°
32: North by west 354.37°
1: North 354.38°
```
## Yabasic
{{trans|Liberty BASIC}}
```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$(int(x))
end sub
10 data "North ", "North by east ", "North-northeast "
20 data "Northeast by north", "Northeast ", "Northeast by east ", "East-northeast "
30 data "East by north ", "East ", "East by south ", "East-southeast "
40 data "Southeast by east ", "Southeast ", "Southeast by south", "South-southeast "
50 data "South by east ", "South ", "South by west ", "South-southwest "
60 data "Southwest by south", "Southwest ", "Southwest by west ", "West-southwest "
70 data "West by south ", "West ", "West by north ", "West-northwest "
80 data "Northwest by west ", "Northwest ", "Northwest by north", "North-northwest "
90 data "North by west "
```
## zkl
{{trans|AWK}}
```zkl
A:=("X N NbE NNE NEbN NE NEbE ENE EbN E EbS ESE " // one based array
"SEbE SE SEbS SSE SbE S SbW SSW SWbS SW SWbW "
"WSW WbS W WbN WNW NWbW NW NWbN NNW NbW").split(" ");
fcn compassBox(d){
return(( ( (d + 360.0 / 64.0) % 360.0) * 32.0 / 360.0).ceil());
}
foreach i in ([0..32]){
heading:=11.25*i;
switch(i%3){ // or heading+=5.62*((i+1).divr(3)[1]-1);
case(1){ heading+=5.62 }
case(2){ heading-=5.62 }
}
box:=compassBox(heading);
println("%6.2f\UB0; : %2d\t%s".fmt(heading,box,A[box]));
}
```
{{out}}
```txt
0.00 : 1 N
16.87 : 2 NbE
16.88 : 3 NNE
33.75 : 4 NEbN
50.62 : 5 NE
... same as AWK output
337.50 : 31 NNW
354.37 : 32 NbW
354.38 : 1 N
```
## ZX Spectrum Basic
{{trans|Liberty BASIC}}
```zxbasic
10 DATA "North","North by east","North-northeast"
20 DATA "Northeast by north","Northeast","Northeast by east","East-northeast"
30 DATA "East by north","East","East by south","East-southeast"
40 DATA "Southeast by east","Southeast","Southeast by south","South-southeast"
50 DATA "South by east","South","South by west","South-southwest"
60 DATA "Southwest by south","Southwest","Southwest by west","West-southwest"
70 DATA "West by south","West","West by north","West-northwest"
80 DATA "Northwest by west","Northwest","Northwest by north","North-northwest"
90 DATA "North by west"
100 DIM p$(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
```