Horizontal sundial calculations: Difference between revisions
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{{task|sciences}}
[[Category:Mathematics]]
;Task:
Create a program that calculates the hour, sun hour angle, dial hour line angle from 6am to 6pm for an ''operator'' entered location.
For example, the user is prompted for a location and inputs the latitude and longitude 4°57′S 150°30′W (4.95°S 150.5°W of [[wp:Jules Verne|Jules Verne]]'s ''[[wp:The Mysterious Island|Lincoln Island]]'', aka ''[[wp:Ernest Legouve Reef|Ernest Legouve Reef]])'', with a legal meridian of 150°W.
(Note: the "meridian" is approximately the same concept as the "longitude" - the distinction is that the meridian is used to determine when it is "noon" for official purposes. This will typically be slightly different from when the sun appears at its highest location, because of the structure of time zones. For most, but not all, time zones (hour wide zones with hour zero centred on Greenwich), the legal meridian will be an even multiple of 15 degrees.)
Wikipedia: A [[wp:sundial|sundial]] is a device that measures time by the position of the [[wp:Sun|Sun]]. In common designs such as the horizontal sundial, the sun casts a [[wp:shadow|shadow]] from its ''style'' (also called its [[wp:Gnomon|Gnomon]], a thin rod or a sharp, straight edge)<!-- The style is the time telling edge of the gnomon, Waugh,1973 p29--> onto a flat surface marked with lines indicating the hours of the day (also called the [[wp:Sundial#Terminology|dial face]] or dial plate). As the sun moves across the sky, the shadow-edge progressively aligns with different hour-lines on the plate. Such designs rely on the style being aligned with the axis of the Earth's rotation. Hence, if such a sundial is to tell the correct time, the style must point towards [[wp:true north|true north]] (not the [[wp:North Magnetic Pole|north]] or [[wp:Magnetic South Pole|south magnetic pole]]) and the style's angle with horizontal must equal the sundial's geographical [[wp:latitude|latitude]].
<br><br>
=={{header|11l}}==
{{trans|Python}}
<syntaxhighlight lang="11l">V lat = Float(input(‘Enter latitude => ’))
V lng = Float(input(‘Enter longitude => ’))
V ref = Float(input(‘Enter legal meridian => ’))
print()
V slat = sin(radians(lat))
print(‘ sine of latitude: #.3’.format(slat))
print(‘ diff longitude: #.3’.format(lng - ref))
print()
print(‘Hour, sun hour angle, dial hour line angle from 6am to 6pm’)
L(h) -6 .. 6
V hra = 15.0 * h
hra -= lng - ref
V hla = degrees(atan(slat * tan(radians(hra))))
print(‘HR=#3; HRA=#3.3; HLA=#3.3’.format(h, hra, hla))</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA= 84.225
</pre>
=={{header|Ada}}==
{{trans|ALGOL 68}}
sundial.adb:
<syntaxhighlight lang="ada">with Ada.Text_IO;
with Ada.Numerics.Elementary_Functions;
procedure Sundial is
use Ada.Numerics.Elementary_Functions;
use Ada.Numerics;
package Float_IO is new Ada.Text_IO.Float_IO (Float);
Latitude, Longitude, Meridian : Float;
Latitude_Sine : Float;
begin
Ada.Text_IO.Put ("Enter latitude: ");
Float_IO.Get (Latitude);
Ada.Text_IO.Put ("Enter longitude: ");
Float_IO.Get (Longitude);
Ada.Text_IO.Put ("Enter legal meridian: ");
Float_IO.Get (Meridian);
Ada.Text_IO.New_Line;
Latitude_Sine := Sin (Latitude * Pi / 180.0);
Ada.Text_IO.Put_Line
(" sine of latitude:" & Float'Image (Latitude_Sine));
Ada.Text_IO.Put_Line
(" diff longitude:" & Float'Image (Longitude - Meridian));
Ada.Text_IO.New_Line;
Ada.Text_IO.Put_Line
("hour, sun hour angle, dial hour line angle from 6am to 6pm");
for H in -6 .. 6 loop
declare
Hour_Angle : constant Float :=
15.0 * Float (H) - (Longitude - Meridian);
Line_Angle : constant Float :=
Arctan (Latitude_Sine * Tan (Hour_Angle * Pi / 180.0)) * 180.0 /
Pi;
begin
Ada.Text_IO.Put_Line
("HR=" &
Integer'Image (H) &
"; HRA=" &
Float'Image (Hour_Angle) &
"; HLA=" &
Float'Image (Line_Angle));
end;
end loop;
end Sundial;</syntaxhighlight>
{{out}}
<pre>Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
sine of latitude:-8.62864E-02
diff longitude:-5.00000E-01
hour, sun hour angle, dial hour line angle from 6am to 6pm
HR=-6; HRA=-8.95000E+01; HLA= 8.42248E+01
HR=-5; HRA=-7.45000E+01; HLA= 1.72829E+01
HR=-4; HRA=-5.95000E+01; HLA= 8.33371E+00
HR=-3; HRA=-4.45000E+01; HLA= 4.84671E+00
HR=-2; HRA=-2.95000E+01; HLA= 2.79487E+00
HR=-1; HRA=-1.45000E+01; HLA= 1.27835E+00
HR= 0; HRA= 5.00000E-01; HLA=-4.31443E-02
HR= 1; HRA= 1.55000E+01; HLA=-1.37079E+00
HR= 2; HRA= 3.05000E+01; HLA=-2.90964E+00
HR= 3; HRA= 4.55000E+01; HLA=-5.01802E+00
HR= 4; HRA= 6.05000E+01; HLA=-8.67140E+00
HR= 5; HRA= 7.55000E+01; HLA=-1.84510E+01
HR= 6; HRA= 9.05000E+01; HLA= 8.42248E+01</pre>
=={{header|ALGOL 68}}==
{{works with|ALGOL 68|Revision 1 - no extensions to language used}}
{{works with|ALGOL 68G|Any - tested with release [http://sourceforge.net/projects/algol68/files/algol68g/algol68g-1.18.0/algol68g-1.18.0-9h.tiny.el5.centos.fc11.i386.rpm/download 1.18.0-9h.tiny]}}
{{works 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]}}
Example extracted - with permission for a GPL - from Simon Wheaton-Smith's [http://www.illustratingshadows.com/stats-Algol.html Illustrating Time's Shadow] web page.
<!-- So... can I have your permission to cut and paste your hdial program as GPLed open-source on RosettaCode.Org?
Line 22 ⟶ 142:
> Simon
-->
<
REAL lat, slat, lng, ref;
print ( "Enter latitude => " ); read (lat);
Line 45 ⟶ 165:
new line(stand out)
OD
END</
{{out}}
<pre>
Enter latitude => -4.95
Line 70 ⟶ 190:
HR= +6; HRA= +90.500; HLA= +84.225
</pre>
=={{header|Arturo}}==
{{trans|Nim}}
<syntaxhighlight lang="arturo">degToRad: function [deg]-> deg * pi // 180
radToDeg: function [rad]-> rad * 180 // pi
lat: to :floating input "Enter latitude => "
lng: to :floating input "Enter longitude => "
med: to :floating input "Enter legal meridian => "
print ""
slat: sin degToRad lat
print " sine of latitude: " ++ to :string .format:".3f" slat
print " diff longitude: " ++ to :string .format:".3f" lng-med
print ""
print "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
loop (neg 6)..6 'h [
hra: med + (to :floating 15*h) - lng
hla: radToDeg atan slat * tan degToRad hra
print "HR=" ++ (to :string .format:"3d" h) ++ "; " ++
"HRA=" ++ (to :string .format:"7.3f" hra) ++ "; " ++
"HLA=" ++ (to :string .format:"7.3f" hla)
]</syntaxhighlight>
{{out}}
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA= 84.225</pre>
=={{header|AutoHotkey}}==
{{incorrect|AutoHotkey|6AM,5AM,4AM,3AM,2AM,1AM,0PM - use hour+12 instead of abs(hour), I suspect}}
{{trans|F#}}
AutoHotkey is not a command-line programming language, let me make that clear. However, in translating the F# I found that the command line really is best for this type of app. The first 3 comments in the script describe the workarounds used to interface with the commandline.
<syntaxhighlight lang="autohotkey">DllCall("AllocConsole") ; Open a console window for this application
Pi := 4*ATan(1)
,Degrees := Pi/180
FileAppend, Enter Latitude: , CONOUT$ ; write to stdout
FileReadLine, latitude, CONIN$, 1 ; read from stdin
FileAppend, Enter Longitude: , CONOUT$
FileReadLine, longitude, CONIN$, 1
FileAppend, Enter Legal meridian: , CONOUT$
FileReadLine, meridian, CONIN$, 1
sineLatitude := Sin(latitude*Degrees)
FileAppend, `n, CONOUT$
FileAppend, Sine of latitude: %sineLatitude%`n, CONOUT$
FileAppend, % "Difference of Longitudes (given longitude - meridian): " . longitude-meridian . "`n", CONOUT$
FileAppend, `n, CONOUT$
FileAppend, Numbers from 6 AM to 6 PM:`n, CONOUT$
FileAppend, Hour`t`tSun Hour Angle`t Dial hour line angle`n, CONOUT$
hour := -7
While (++hour < 7)
{
clockHour := hour < 0 ? abs(hour) . "AM" : hour . "PM"
shr := RTrim("" . (15.0*hour - (longitude-meridian)), "0") ; RTrim() removes trailing zeroes
dhla := Atan(sineLatitude*Tan(shr*degrees))/Degrees
FileAppend, %clockhour%`t`t%shr%`t`t%dhla%`n, CONOUT$
}
MsgBox close me when done.</syntaxhighlight>
{{out}}
<pre>Enter Latitude:-4.95
Enter Longitude:-150.5
Enter Legal meridian:-150
Sine of latitude: -0.086286
Difference of Longitudes (given longitude - meridian): -0.500000
Numbers from 6 AM to 6 PM:
Hour Sun Hour Angle Dial hour line angle
6AM -89.5 84.224833
5AM -74.5 17.282934
4AM -59.5 8.333712
3AM -44.5 4.846709
2AM -29.5 2.794874
1AM -14.5 1.278353
0PM 0.5 -0.043144
1PM 15.5 -1.370788
2PM 30.5 -2.909643
3PM 45.5 -5.018023
4PM 60.5 -8.671397
5PM 75.5 -18.450999
6PM 90.5 84.224833</pre>
=={{header|AWK}}==
<syntaxhighlight lang="awk">
# syntax: GAWK -f HORIZONTAL_SUNDIAL_CALCULATIONS.AWK
BEGIN {
printf("enter latitude (degrees): ") ; getline latitude
printf("enter longitude (degrees): ") ; getline longitude
printf("enter legal meridian (degrees): ") ; getline meridian
printf("\nhour sun hour angle dial hour line angle\n")
slat = sin(dr(latitude))
for (hour=-6; hour<=6; hour++) { # 6AM-6PM
hra = 15 * hour - longitude + meridian
hraRad = dr(hra)
hla = rd(atan2(sin(hraRad)*slat,cos(hraRad)))
printf("%4d %15.3f %21.3f\n",hour+12,hra,hla)
}
exit(0)
}
function dr(x) { return x * 3.14159265 / 180 } # degrees to radians
function rd(x) { return x * 180 / 3.14159265 } # radians to degrees
</syntaxhighlight>
<p>output:</p>
<pre>
enter latitude (degrees): -4.95
enter longitude (degrees): -150.5
enter legal meridian (degrees): -150
hour sun hour angle dial hour line angle
6 -89.500 84.225
7 -74.500 17.283
8 -59.500 8.334
9 -44.500 4.847
10 -29.500 2.795
11 -14.500 1.278
12 0.500 -0.043
13 15.500 -1.371
14 30.500 -2.910
15 45.500 -5.018
16 60.500 -8.671
17 75.500 -18.451
18 90.500 -95.775
</pre>
=={{header|BASIC}}==
==={{header|ANSI BASIC}}===
{{trans|ALGOL-68|ANSI BASIC has a possibility to use degrees in calculations.}}
{{works with|Decimal BASIC}}
<syntaxhighlight lang="basic">
100 REM Horizontal sundial calculations
110 INPUT PROMPT "Enter latitude => ": Lat
120 INPUT PROMPT "Enter longitude => ": Lng
130 INPUT PROMPT "Enter legal meridian => ": Ref
140 PRINT
150 OPTION ANGLE DEGREES
160 LET Slat = SIN(Lat)
170 PRINT " sine of latitude: "; Slat
180 PRINT " diff longitude: "; Lng - Ref
190 PRINT
200 PRINT "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
210 FOR Hour = -6 TO 6
220 LET HourAngle = 15 * Hour
230 LET HourAngle = HourAngle - (Lng - Ref) ! correct for longitude difference
240 LET HourLineAngle = ATN(Slat * TAN(HourAngle))
250 PRINT USING "HR=###; HRA=####.###; HLA=####.###": Hour, HourAngle, HourLineAngle
260 NEXT Hour
270 END
</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -8.62863657979234E-2
diff longitude: -.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.500; HLA= 84.225
HR= -5; HRA= -74.500; HLA= 17.283
HR= -4; HRA= -59.500; HLA= 8.334
HR= -3; HRA= -44.500; HLA= 4.847
HR= -2; HRA= -29.500; HLA= 2.795
HR= -1; HRA= -14.500; HLA= 1.278
HR= 0; HRA= .500; HLA= -.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA= -18.451
HR= 6; HRA= 90.500; HLA= 84.225
</pre>
==={{header|BASIC256}}===
<syntaxhighlight lang="basic256">call SolarhoraAngle(-4.95, -150.5, -150.0)
end
function rad2deg(theta)
return theta * 180 / pi
end function
function deg2rad(theta)
return theta * pi / 180
end function
function sign(x)
if x < 0 then sign = -1
if x > 0 then sign = 1
if x = 0 then sign = 0
end function
subroutine SolarhoraAngle(latitude, longitude, meridian)
print "Latitude = "; latitude
print "Longitude = "; longitude
print "Meridian = "; meridian
print
print "sine of latitude: "; sin(latitude * pi / 180)
print " diff longitude: "; longitude - meridian
print
print " Time Sun hora angle Dial hora line angle"
for hora = 6 to 18
hra = (15 * hora) - longitude + meridian - 180
hla = rad2deg(atan(sin(deg2rad(latitude)) * tan(deg2rad(hra))))
if abs(hra) > 90 then hla += 180 * sign(hra * latitude)
if hora > 12 then time = hora - 12 : ap$ = " p.m." else time = hora : ap$ = " a.m."
print time; ap$; chr(9); hra; chr(9); chr(9); hla
next hora
end subroutine</syntaxhighlight>
==={{header|BBC BASIC}}===
{{works with|BBC BASIC for Windows}}
<syntaxhighlight lang="bbcbasic"> INSTALL @lib$+"FNUSING"
INPUT "Enter latitude (degrees) : " latitude
INPUT "Enter longitude (degrees) : " longitude
INPUT "Enter legal meridian (degrees): " meridian
PRINT '" Time", "Sun hour angle", "Dial hour line angle"
FOR hour = 6 TO 18
hra = 15*hour - longitude + meridian - 180
hla = DEG(ATN(SIN(RAD(latitude)) * TAN(RAD(hra))))
IF ABS(hra) > 90 hla += 180 * SGN(hra * latitude)
PRINT FNusing("##.##", hour), FNusing(" ####.### ", hra), FNusing(" ####.###", hla)
NEXT hour</syntaxhighlight>
{{out}}
(note the correct '''negative''' value for time 18:00)
<pre>Enter latitude (degrees) : -4.95
Enter longitude (degrees) : -150.5
Enter legal meridian (degrees): -150.0
Time Sun hour angle Dial hour line angle
6.00 -89.500 84.225
7.00 -74.500 17.283
8.00 -59.500 8.334
9.00 -44.500 4.847
10.00 -29.500 2.795
11.00 -14.500 1.278
12.00 0.500 -0.043
13.00 15.500 -1.371
14.00 30.500 -2.910
15.00 45.500 -5.018
16.00 60.500 -8.671
17.00 75.500 -18.451
18.00 90.500 -95.775</pre>
==={{header|Chipmunk Basic}}===
{{works with|Chipmunk Basic|3.6.4}}
<syntaxhighlight lang="qbasic">10 CLS
20 DEF FNR(x) = x * PI/180
30 DEF FND(x) = x * 180/PI
40 INPUT " Enter latitude (degrees): ";latitude
50 INPUT " Enter longitude (degrees): ";longitude
60 INPUT "Enter legal meridian (degrees): ";meridian
70 PRINT
80 PRINT " Time Sun hour angle Dial hour line angle"
90 FOR h = 6 TO 18
100 hra = 15*h-longitude+meridian-180
110 hla = FN D(ARCTAN(SIN(FN R(latitude))*TAN(FN R(hra))))
120 IF ABS(hra) > 90 THEN hla = hla+180*SGN(hra*latitude)
130 PRINT USING "##.##";h;TAB (10)
140 PRINT USING "####.###";hra;TAB (27)
150 PRINT USING "####.###";hla
160 NEXT h
170 END</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|FreeBASIC}}===
{{trans|BBC BASIC}}
<syntaxhighlight lang="freebasic">' version 04-11-2016
' compile with: fbc -s console
#Macro deg2rad (x)
(x) * Atn(1) / 45
#EndMacro
#Macro rad2deg (x)
(x) * 45 / Atn(1)
#EndMacro
' ------=< MAIN >=------
Dim As Double latitude, longitude, meridian, hra, hla
Dim As ULong h
Input " Enter latitude (degrees): ", latitude
Input " Enter longitude (degrees): ", longitude
Input "Enter legal meridian (degrees): ", meridian
Print
Print " Time Sun hour angle Dial hour line angle"
For h = 6 To 18
hra = h * 15 - longitude + meridian - 180
hla = rad2deg(Atn(Sin(deg2rad(latitude)) * Tan(deg2rad(hra))))
If Abs(hra) > 90 Then hla += 180 * Sgn(hra * latitude)
Print Using "##.## ####.### ####.###"; h; hra; hla
Next
' empty keyboard buffer
While InKey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End</syntaxhighlight>
{{out}}
<pre> Enter latitude (degrees): -4.95
Enter longitude (degrees): -150.5
Enter legal meridian (degrees): -150
Time Sun hour angle Dial hour line angle
6.00 -89.500 84.225
7.00 -74.500 17.283
8.00 -59.500 8.334
9.00 -44.500 4.847
10.00 -29.500 2.795
11.00 -14.500 1.278
12.00 0.500 -0.043
13.00 15.500 -1.371
14.00 30.500 -2.910
15.00 45.500 -5.018
16.00 60.500 -8.671
17.00 75.500 -18.451
18.00 90.500 -95.775</pre>
==={{header|FutureBasic}}===
<syntaxhighlight lang="futurebasic">window 1
def fn rad2deg( theta as double ) as double = theta * 180 / pi
def fn deg2rad( theta as double ) as double = theta * pi / 180
local fn SolarHourAngle( latitude as double, longitude as double, meridian as double )
long hour
double hra, hla, t
CFStringRef ap
print "Latitude = "; latitude; chr$(13); "Longitude = "; longitude; chr$(13); "Meridian = "; meridian
print : print "sine of latitude: "; sin(latitude * pi / 180 ); chr$(13); " diff longitude: "; longitude - meridian
print : print "Time", "Sun hour angle", "Dial hour line angle"
for hour = 6 to 18
hra = ( 15 * hour ) - longitude + meridian - 180
hla = fn rad2deg( atn( sin( fn deg2rad( latitude ) ) * tan( fn deg2rad( hra ) )))
if abs( hra ) > 90 then hla = hla + 180 * sgn( hra * latitude )
if hour > 12 then t = hour - 12 : ap = @" a.m." else t = hour : ap = @" p.m."
print using "##"; t; ap, using "####.##"; hra, using "####.###"; hla
next hour
end fn
fn SolarHourAngle( -4.95, -150.5, -150.0 )
HandleEvents</syntaxhighlight>
Output:
<pre>
Latitude = -4.95
Longitude = -150.5
Meridian = -150
sine of latitude: -0.0862863658
diff longitude: -0.5
Time Sun hour angle Dial hour line angle
6 p.m. -89.50 84.225
7 p.m. -74.50 17.283
8 p.m. -59.50 8.334
9 p.m. -44.50 4.847
10 p.m. -29.50 2.795
11 p.m. -14.50 1.278
12 p.m. 0.50 -0.043
1 a.m. 15.50 -1.371
2 a.m. 30.50 -2.910
3 a.m. 45.50 -5.018
4 a.m. 60.50 -8.671
5 a.m. 75.50 -18.451
6 a.m. 90.50 -95.775
</pre>
==={{header|GW-BASIC}}===
{{trans|ALGOL 68}}
{{works with|PC-BASIC|any}}
<syntaxhighlight lang="qbasic">
10 ' Horizontal sundial calculations
20 PRINT "Enter latitude => ";
30 INPUT LAT
40 PRINT "Enter longitude => ";
50 INPUT LNG
60 PRINT "Enter legal meridian => ";
70 INPUT REF
80 PRINT
90 LET PI = 4 * ATN(1)
100 LET SLAT = SIN(LAT * PI / 180)
110 PRINT " sine of latitude: "; USING "#.##^^^^"; SLAT
120 PRINT " diff longitude: "; USING "####.###"; LNG - REF
130 PRINT
140 PRINT "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
150 FOR H% = -6 TO 6
160 LET HRA = 15 * H%
170 LET HRA = HRA - (LNG - REF): ' correct for longitude difference
180 LET HLA = ATN(SLAT * TAN(HRA * PI / 180)) * 180 / PI
190 PRINT "HR="; USING "+##"; H%;
200 PRINT "; HRA="; USING "+###.###"; HRA;
210 PRINT "; HLA="; USING "+###.###"; HLA
220 NEXT H%
230 END
</syntaxhighlight>
{{out}}
<pre>
Enter latitude => ? -4.95
Enter longitude => ? -150.5
Enter legal meridian => ? -150
sine of latitude: -.86E-01
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.500; HLA= +84.225
HR= -5; HRA= -74.500; HLA= +17.283
HR= -4; HRA= -59.500; HLA= +8.334
HR= -3; HRA= -44.500; HLA= +4.847
HR= -2; HRA= -29.500; HLA= +2.795
HR= -1; HRA= -14.500; HLA= +1.278
HR= +0; HRA= +0.500; HLA= -0.043
HR= +1; HRA= +15.500; HLA= -1.371
HR= +2; HRA= +30.500; HLA= -2.910
HR= +3; HRA= +45.500; HLA= -5.018
HR= +4; HRA= +60.500; HLA= -8.671
HR= +5; HRA= +75.500; HLA= -18.451
HR= +6; HRA= +90.500; HLA= +84.225
</pre>
==={{header|IS-BASIC}}===
<syntaxhighlight lang="is-basic">100 PROGRAM "SunDial.bas"
110 OPTION ANGLE RADIANS
120 TEXT 80
130 LET DR=PI/180:LET RD=180/PI
140 INPUT PROMPT "Enter latitude: ":LAT
150 INPUT PROMPT "Enter longitude: ":LNG
160 INPUT PROMPT "Enter legal meridian: ":REF
170 LET S=SIN(LAT*DR)
180 PRINT :PRINT "Sine of latitude :";S
190 PRINT "Diff longitude: ";LNG-REF
200 PRINT " Hour,",,"sun hour angle, dial hour line angle from 6am to 6 pm"
210 FOR H=6 TO 18
220 LET HRA=15*H-LNG+REF
230 LET HLA=ATN(S*TAN(HRA*DR))*RD
240 PRINT "HR = ";H,"HRA =";HRA,"HLA =";HLA
250 NEXT</syntaxhighlight>
==={{header|Liberty BASIC}}===
Based on Algol & BBC BASIC versions. Note Liberty BASIC works in radians.
<syntaxhighlight lang="lb">global pi
pi = 3.14159265
input "Enter latitude (degrees) : "; latitude ' -4.95
input "Enter longitude (degrees) : "; longitude ' -150.5
input "Enter legal meridian (degrees): "; meridian ' -150.0
print
print "Time Sun hour angle Dial hour line angle"
for hour = 6 TO 18
hra = 15 * hour - longitude + meridian - 180
hla = rad2deg(atn(sin(deg2rad(latitude)) * tan(deg2rad(hra))))
if abs(hra) > 90 then hla = hla + 180 * sgn(hra * latitude)
print using( "##.##", hour), using("####.### ", hra), using("####.###", hla)
next hour
end
function rad2deg(theta)
rad2deg = theta * 180 / pi
end function
function deg2rad(theta)
deg2rad = theta * pi / 180
end function
function sgn(x)
if x > 0 then sgn = 1 else sgn = -1
end function</syntaxhighlight>
{{out}}
<pre>
Enter latitude (degrees) : -4.95
Enter longitude (degrees) : -150.5
Enter legal meridian (degrees): -150.0
Time Sun hour angle Dial hour line angle
6.00 -89.500 84.225
7.00 -74.500 17.283
8.00 -59.500 8.334
9.00 -44.500 4.847
10.00 -29.500 2.795
11.00 -14.500 1.278
12.00 0.500 -0.043
13.00 15.500 -1.371
14.00 30.500 -2.910
15.00 45.500 -5.018
16.00 60.500 -8.671
17.00 75.500 -18.451
18.00 90.500 -95.775
</pre>
==={{header|Microsoft Small Basic}}===
{{trans|ALGOL-68}}
<syntaxhighlight lang="microsoftsmallbasic">
TextWindow.Write("Enter latitude => ")
lat = TextWindow.ReadNumber()
TextWindow.Write("Enter longitude => ")
lng = TextWindow.ReadNumber()
TextWindow.Write("Enter legal meridian => ")
ref = TextWindow.ReadNumber()
sLat = Math.Sin(Math.GetRadians(lat))
TextWindow.WriteLine("")
TextWindow.Write(" sine of latitude: ")
TextWindow.WriteLine(Math.Round(sLat * 10000) / 10000)
TextWindow.Write(" diff longitude: ")
TextWindow.WriteLine(lng - ref)
TextWindow.WriteLine("")
TextWindow.WriteLine("Hour, sun hour angle, dial hour line angle from 6am to 6pm")
For hour = -6 To 6
hourAngle = 15 * hour
hourAngle = hourAngle - (lng - ref) ' correct for longitude difference
hourLineAngle = math.GetDegrees(Math.ArcTan(sLat * Math.Tan(Math.GetRadians(hourAngle))))
TextWindow.Write("HR=")
TextWindow.CursorLeft = 3 + (3 - Text.GetLength(hour))
TextWindow.Write(hour)
TextWindow.Write("; HRA=")
TextWindow.CursorLeft = 12 + (6 - Text.GetLength(hourAngle))
TextWindow.Write(hourAngle)
TextWindow.Write("; HLA=")
TextWindow.CursorLeft = 24 + (4 - Text.GetLength(Math.Floor(hourLineAngle)))
TextWindow.Write(Math.Round(hourLineAngle * 1000) / 1000)
TextWindow.WriteLine("")
EndFor
</syntaxhighlight>
{{out}}
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.0863
diff longitude: -0.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.5; HLA= 84.225
HR= -5; HRA= -74.5; HLA= 17.283
HR= -4; HRA= -59.5; HLA= 8.334
HR= -3; HRA= -44.5; HLA= 4.847
HR= -2; HRA= -29.5; HLA= 2.795
HR= -1; HRA= -14.5; HLA= 1.278
HR= 0; HRA= 0.5; HLA= -0.043
HR= 1; HRA= 15.5; HLA= -1.371
HR= 2; HRA= 30.5; HLA= -2.91
HR= 3; HRA= 45.5; HLA= -5.018
HR= 4; HRA= 60.5; HLA= -8.671
HR= 5; HRA= 75.5; HLA= -18.451
HR= 6; HRA= 90.5; HLA= 84.225
==={{header|Minimal BASIC}}===
{{works with|QBasic}}
{{trans|ALGOL-68}}
<syntaxhighlight lang="gwbasic">
10 REM Horizontal sundial calculations
20 DEF FNM(X) = INT(X*1000+0.5)/1000
30 PRINT "Enter latitude";
40 INPUT L
50 PRINT "Enter longitude";
60 INPUT L1
70 PRINT "Enter legal meridian";
80 INPUT R
90 PRINT
100 LET P = 4*ATN(1)
110 LET S1 = SIN(L*P/180)
120 PRINT " sine of latitude:"; S1
130 PRINT " diff longitude: "; FNM(L1-R)
140 PRINT
150 PRINT "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
160 FOR H = -6 TO 6
170 LET A1 = 15*H
180 REM Correct for longitude difference:
190 LET A1 = A1-(L1-R)
200 LET A2 = ATN(S1*TAN(A1*P/180))*180/P
210 PRINT "HR ="; H;
220 PRINT TAB(9); "HRA ="; FNM(A1);
230 PRINT TAB(24); "HLA ="; FNM(A2)
240 NEXT H
250 END
</syntaxhighlight>
==={{header|PureBasic}}===
{{trans|ALGOL 68}}
<syntaxhighlight lang="purebasic">If OpenConsole()
Define.f lat, slat, lng, ref
Define.i h
Print("Enter latitude => "): lat=ValF(Input())
Print("Enter longitude => "): lng=ValF(Input())
Print("Enter legal meridian => "): ref=ValF(Input())
PrintN("")
slat=Sin(lat*2*#PI/360)
PrintN(" sine of latitude: "+StrF(slat,3))
PrintN(" diff longitude: "+StrF((lng-ref),3)+#CRLF$)
PrintN("Hour, sun hour angle, dial hour line angle from 6am to 6pm")
For h=-6 To 6
Define.f hra, hla
hra=15*h
hra=hra-(lng-ref)
hla=ATan(slat*Tan(hra*2*#PI/360))*360/(2*#PI)
PrintN("HR="+RSet(Str(h),3)+"; HRA="+RSet(StrF(hra,3),7)+"; HLA="+RSet(StrF(hla,3),7))
Next
EndIf</syntaxhighlight>
{{out}}
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA= 84.225
</pre>
==={{header|Run BASIC}}===
<syntaxhighlight lang="runbasic">global pi
pi = 22 / 7
print "Enter latitude (degrees) : "; :input latitude ' -4.95
print "Enter longitude (degrees) : "; :input longitude ' -150.5
print "Enter legal meridian (degrees): "; :input meridian ' -150.0
print
print "Time Sun hour angle Dial hour line angle"
for hour = 6 TO 18
hra = (15 * hour) - longitude + meridian -180
hla =rad2deg( atn( sin( deg2rad( latitude)) *tan( deg2rad( hra))))
if abs( hra) >90 then hla =hla +180 *sgn( hra *latitude)
print using( "##", hour);" ";using("####.##", hra);" ";using("####.###", hla)
next hour
function rad2deg( theta)
rad2deg =theta *180 /pi
end function
function deg2rad( theta)
deg2rad =theta *pi /180
end function
function sgn( x)
if x >0 then sgn =1 else sgn =-1
end function
end</syntaxhighlight>
{{out}}
<pre>
Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
Time Sun hour angle Dial hour line angle
6 -89.50 84.606
7 -74.50 17.316
8 -59.50 8.342
9 -44.50 4.850
10 -29.50 2.796
11 -14.50 1.279
12 0.50 -0.043
13 15.50 -1.371
14 30.50 -2.911
15 45.50 -5.021
16 60.50 -8.680
17 75.50 -18.488
18 90.50 -96.224</pre>
==={{header|True BASIC}}===
<syntaxhighlight lang="qbasic">FUNCTION rad2deg(theta)
LET rad2deg = theta*180/PI
END FUNCTION
FUNCTION deg2rad(theta)
LET deg2rad = theta*PI/180
END FUNCTION
FUNCTION signo(x)
IF x > 0 THEN LET signo = 1 ELSE LET signo = -1
END FUNCTION
INPUT prompt "Enter latitude (degrees) : ": latitude ! -4.95
INPUT prompt "Enter longitude (degrees) : ": longitude ! -150.5
INPUT prompt "Enter legal meridian (degrees): ": meridian ! -150.0
PRINT
PRINT "Time Sun hora angle Dial hora line angle"
FOR hora = 6 TO 18
LET hra = (15*hora)-longitude+meridian-180
LET hla = rad2deg(ATN(SIN(deg2rad(latitude))*TAN(deg2rad(hra))))
IF abs(hra) > 90 THEN LET hla = hla+180*signo(hra*latitude)
PRINT USING "## ####.## ####.###": hora, hra, hla
NEXT hora
END</syntaxhighlight>
==={{header|XBasic}}===
{{trans|ALGOL-68}}
{{works with|Windows XBasic}}
<syntaxhighlight lang="xbasic">
PROGRAM "sundial"
VERSION "0.0001"
IMPORT "xma"
DECLARE FUNCTION Entry()
FUNCTION Entry()
lat! = SINGLE(INLINE$("Enter latitude => "))
lng! = SINGLE(INLINE$("Enter longitude => "))
ref! = SINGLE(INLINE$("Enter legal meridian => "))
PRINT
slat! = SIN(lat! * $$PI / 180.0)
PRINT " sine of latitude: "; FORMAT$("#.##^^^^", slat!)
PRINT " diff longitude: "; FORMAT$("#.###", lng! - ref!)
PRINT
PRINT "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
FOR hour@ = -6 TO 6
hourAngle! = 15 * hour@
hourAngle! = hourAngle! - (lng! - ref!) ' correct for longitude difference
hourLineAngle! = ATAN(slat! * TAN(hourAngle! * $$PI / 180.0)) * 180.0 / $$PI
PRINT "HR="; FORMAT$("###", hour@);
PRINT "; HRA="; FORMAT$("####.###", hourAngle!);
PRINT "; HLA="; FORMAT$("####.###", hourLineAngle!)
NEXT hour@
END FUNCTION
END PROGRAM
</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -8.63E-02
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.500; HLA= 84.225
HR= -5; HRA= -74.500; HLA= 17.283
HR= -4; HRA= -59.500; HLA= 8.334
HR= -3; HRA= -44.500; HLA= 4.847
HR= -2; HRA= -29.500; HLA= 2.795
HR= -1; HRA= -14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA= -18.451
HR= 6; HRA= 90.500; HLA= 84.225
</pre>
==={{header|Yabasic}}===
<syntaxhighlight lang="yabasic">SolarHourAngle(-4.95, -150.5, -150.0)
end
sub rad2deg(theta)
return theta * 180 / pi
end sub
sub deg2rad(theta)
return theta * pi / 180
end sub
sub SolarHourAngle(latitude, longitude, meridian)
local long, hour, hra, hla, time, ap$
print "Latitude = ", latitude
print "Longitude = ", longitude
print "Meridian = ", meridian
print "\nsine of latitude: ", sin(latitude * pi / 180)
print " diff longitude: ", longitude - meridian
print "\n Time Sun hour angle Dial hour line angle"
for hour = 6 to 18
hra = (15 * hour) - longitude + meridian - 180
hla = rad2deg(atan(sin(deg2rad(latitude)) * tan(deg2rad(hra))))
if abs(hra) > 90 hla = hla + 180 * sig(hra * latitude)
if hour > 12 then time = hour - 12 : ap$ = " a.m." else time = hour : ap$ = " p.m." : fi
print time using "##", ap$, chr$(9), hra using "####.##", chr$(9), chr$(9), hla using "####.###"
next hour
end sub</syntaxhighlight>
==={{header|ZX Spectrum Basic}}===
{{trans|ERRE}}
<syntaxhighlight lang="zxbasic">10 DEF FN r(x)=x*PI/180
20 DEF FN d(x)=x*180/PI
30 INPUT "Enter latitude (degrees): ";latitude
40 INPUT "Enter longitude (degrees): ";longitude
50 INPUT "Enter legal meridian (degrees): ";meridian
60 PRINT "Latitude: ";latitude
70 PRINT "Longitude:";longitude
80 PRINT "Legal meridian: ";meridian
90 PRINT '" Sun Dial"
100 PRINT "Time hour angle hour line ang."
110 PRINT "________________________________"
120 FOR h=6 TO 18
130 LET hra=15*h-longitude+meridian-180
140 LET hla=FN d(ATN (SIN (FN r(latitude))*TAN (FN r(hra))))
150 IF ABS (hra)>90 THEN LET hla=hla+180*SGN (hra*latitude)
160 PRINT h;" ";hra;" ";hla
170 NEXT h</syntaxhighlight>
=={{header|C}}==
{{trans|ALGOL 68}}
<
#include <math.h>
Line 115 ⟶ 1,079:
return 0;
}</
=={{header|C sharp|C#}}==
<syntaxhighlight lang="csharp">using System;
namespace RosettaCode
{
internal sealed class Program
{
private static void Main()
{
Func<double> getDouble = () => Convert.ToDouble(Console.ReadLine());
double h = 0, lat, lng, lme, slat, hra, hla;
Console.Write("Enter latitude => ");
lat = getDouble();
Console.Write("Enter longitude => ");
lng = getDouble();
Console.Write("Enter legal meridian => ");
lme = getDouble();
slat = Math.Sin(lat*2*Math.PI/360);
Console.WriteLine("\n sine of latitude: {0:0.000}", slat);
Console.WriteLine(" diff longitude: {0:0.000}\n", lng-lme);
Console.WriteLine("Hour, sun hour angle, dial hour line angle from 6am to 6pm");
for (h = -6; h<6; h++)
{
hra = 15*h;
hra -= lng-lme;
hla = Math.Atan(slat*Math.Tan(hra*2*Math.PI/360))*360/(2*Math.PI);
Console.WriteLine("HR= {0,7:0.000}; HRA {1,7:0.000}; HLA= {2,7:0.000}", h, hra, hla);
}
}
}
}</syntaxhighlight>
=={{header|C++}}==
<syntaxhighlight lang="cpp">#include <cmath>
#include <iostream>
#include <numbers>
// constants used in the calculations
static const double DegreesPerHour = 15.0;
static const double DegreesPerRadian = 180.0 * std::numbers::inv_pi;
// a structure for the calculation results
struct SundialCalculation
{
double HourAngle;
double HourLineAngle;
};
// a class for a sundial at a location
class Sundial
{
// intermediate values used in the caclulations
double m_sinLatitude;
double m_timeZoneCorrection;
public:
Sundial(double latitude, double longitude, double legalMeridian) noexcept
: m_sinLatitude(sin(latitude / DegreesPerRadian))
, m_timeZoneCorrection(legalMeridian - longitude) {}
SundialCalculation CalculateShadow(double hoursSinceNoon) const noexcept
{
double hourAngle = hoursSinceNoon * DegreesPerHour + m_timeZoneCorrection;
double hourAngleRad = hourAngle / DegreesPerRadian;
double hlaRad = atan2(m_sinLatitude * sin(hourAngleRad), cos(hourAngleRad));
double hourLineAngle = hlaRad * DegreesPerRadian;
return SundialCalculation {hourAngle, hourLineAngle};
}
};
int main()
{
double latitude, longitude, legalMeridian;
std::cout << "Enter latitude:";
std::cin >> latitude;
std::cout << "Enter longitude:";
std::cin >> longitude;
std::cout << "Enter legal meridian:";
std::cin >> legalMeridian;
// create a sundial at the user specified location
const Sundial sundial(latitude, longitude, legalMeridian);
for(int hour = -6; hour < 7; ++hour)
{
// cacluate the angles
auto result = sundial.CalculateShadow(hour);
// print the results
auto amOrPm = hour < 0 ? "am" : "pm";
auto hourString = std::to_string(hour < 1 ? 12 + hour : hour);
std::cout << hourString << amOrPm <<
" - sun hour angle:" << result.HourAngle <<
", dial hour line angle:" << result.HourLineAngle << "\n";
}
}
</syntaxhighlight>
{{out}}
<pre>
Enter latitude:-4.95
Enter longitude:-150.5
Enter legal meridian:-150
6am - sun hour angle:-89.5, dial hour line angle:84.2248
7am - sun hour angle:-74.5, dial hour line angle:17.2829
8am - sun hour angle:-59.5, dial hour line angle:8.33371
9am - sun hour angle:-44.5, dial hour line angle:4.84671
10am - sun hour angle:-29.5, dial hour line angle:2.79487
11am - sun hour angle:-14.5, dial hour line angle:1.27835
12pm - sun hour angle:0.5, dial hour line angle:-0.0431443
1pm - sun hour angle:15.5, dial hour line angle:-1.37079
2pm - sun hour angle:30.5, dial hour line angle:-2.90964
3pm - sun hour angle:45.5, dial hour line angle:-5.01802
4pm - sun hour angle:60.5, dial hour line angle:-8.6714
5pm - sun hour angle:75.5, dial hour line angle:-18.451
6pm - sun hour angle:90.5, dial hour line angle:-95.7752
</pre>
=={{header|COBOL}}==
{{works with|OpenCOBOL}}
<syntaxhighlight lang="cobol">PROGRAM-ID. horizontal-sundial-calc.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 latitude PIC S9(3)V9(5) COMP.
01 longitude PIC S9(3)V9(5) COMP.
01 legal-meridian PIC S9(3)V9(5) COMP.
01 lat-sine PIC S9(3)V9(5) COMP.
01 diff-longitude PIC S9(3)V9(5) COMP.
01 lat-sine-disp PIC -(3)9.9(5).
01 diff-longitude-disp PIC -(3)9.9(5).
01 hour PIC S9 COMP.
01 sun-hour-angle PIC S9(3)V9(5) COMP.
01 dial-hour-line-angle PIC S9(3)V9(5) COMP.
01 hour-disp PIC 99.
01 sun-hour-angle-disp PIC -(3)9.9(5).
01 dial-hour-line-angle-disp PIC -(3)9.9(5).
PROCEDURE DIVISION.
DISPLAY "Enter latitude: " NO ADVANCING
ACCEPT latitude
DISPLAY "Enter longitude: " NO ADVANCING
ACCEPT longitude
DISPLAY "Enter legal meridian: " NO ADVANCING
ACCEPT legal-meridian
DISPLAY SPACE
COMPUTE lat-sine, lat-sine-disp ROUNDED =
FUNCTION SIN(latitude * 2 * FUNCTION PI / 360)
DISPLAY "Sine of latitude: " FUNCTION TRIM(lat-sine-disp)
SUBTRACT legal-meridian FROM longitude
GIVING diff-longitude, diff-longitude-disp
DISPLAY "Diff longitude: " FUNCTION TRIM(diff-longitude-disp)
DISPLAY SPACE
DISPLAY "Time Sun hour angle Dial hour line angle"
PERFORM VARYING hour FROM -6 BY 1 UNTIL hour > 6
COMPUTE sun-hour-angle ROUNDED = hour * 15 - diff-longitude
COMPUTE dial-hour-line-angle ROUNDED = FUNCTION ATAN(lat-sine
* FUNCTION TAN(sun-hour-angle * 2 * FUNCTION PI / 360))
* 360 / (2 * FUNCTION PI)
ADD 12 TO hour GIVING hour-disp
MOVE sun-hour-angle TO sun-hour-angle-disp
MOVE dial-hour-line-angle TO dial-hour-line-angle-disp
DISPLAY hour-disp ":00 " sun-hour-angle-disp " "
dial-hour-line-angle-disp
END-PERFORM
.</syntaxhighlight>
{{out}}
<pre>
Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
Sine of latitude: -0.08629
Diff longitude: -0.50000
Time Sun hour angle Dial hour line angle
06:00 -89.50000 84.22441
07:00 -74.50000 17.28173
08:00 -59.50000 8.33311
09:00 -44.50000 4.84635
10:00 -29.50000 2.79467
11:00 -14.50000 1.27826
12:00 0.50000 -0.04314
13:00 15.50000 -1.37069
14:00 30.50000 -2.90943
15:00 45.50000 -5.01765
16:00 60.50000 -8.67077
17:00 75.50000 -18.44973
18:00 90.50000 84.22441
</pre>
=={{header|D}}==
{{trans|Python}}
<
double radians(in double x) pure nothrow { return x * (PI / 180); }
double degrees(in double x) pure nothrow { return x / (PI / 180); }
T input(T)(in string msg) {
return
}
void main() {
writeln
double slat =
writefln(" sine of latitude: %.3f", slat);
writefln(" diff longitude: %.3f", lng - lme);
writeln
foreach (immutable h; -6 .. 7) {
immutable double hra = 15 * h - (lng - lme);
writefln("HR=%3d; HRA=%7.3f; HLA=%7.3f", h, hra, hla);
}
}</
{{out|Example run
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Line 172 ⟶ 1,333:
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA= 84.225
</pre>
=={{header|Delphi}}==
See [[#Pascal]]
=={{header|DWScript}}==
{{trans|Java}}
<syntaxhighlight lang="delphi">procedure PrintSundial(lat, lng, lme : Float);
begin
PrintLn(Format('latitude: %7.2f', [lat]));
PrintLn(Format('longitude: %7.2f', [lng]));
PrintLn(Format('legal meridian: %7.2f', [lme]));
var slat := Sin(DegToRad(lat));
PrintLn(Format('sine of latitude: %.3f', [slat]));
PrintLn(Format('diff longitude: %.3f', [lng-lme]));
PrintLn('');
PrintLn('Hour, sun hour angle, dial hour line angle from 6am to 6pm');
var h : Integer;
for h:=-6 to 6 do begin
var hra := 15 * h - (lng - lme);
var hraRad := DegToRad(hra);
var hla :=RadToDeg(ArcTan2(Sin(hraRad)*slat, Cos(hraRad)));
PrintLn(Format('HR=%3d; HRA=%7.3f; HLA=%7.3f', [h, hra, hla]));
end
end;
PrintSundial(-4.95, -150.5, -150);</syntaxhighlight>
{{out}}
<pre>latitude: -4.95
longitude: -150.50
legal meridian: -150.00
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA=-95.775</pre>
=={{header|EasyLang}}==
<syntaxhighlight lang="text">
func getn s$ .
write s$
v = number input
print v
return v
.
lat = getn "Enter latitude: "
lng = getn "Enter longitude: "
merid = getn "Enter legal meridian: "
slat = sin lat
diff = lng - merid
print ""
print " sine of latitude: " & slat
print " diff longitude: " & diff
print ""
print "Hour\tSun hour angle\tDial hour line angle"
for h = -6 to 6
hra = 15 * h - diff
hla = atan2 (slat * sin hra) cos hra
print h + 12 & "\t" & hra & "\t\t" & hla
.
</syntaxhighlight>
=={{header|ERRE}}==
<syntaxhighlight lang="erre">PROGRAM SUN_DIAL
FUNCTION RAD(X)
RAD=X*π/180
END FUNCTION
FUNCTION DEG(X)
DEG=X*180/π
END FUNCTION
BEGIN
INPUT("Enter latitude (degrees) : ",latitude)
INPUT("Enter longitude (degrees) : ",longitude)
INPUT("Enter legal meridian (degrees): ",meridian)
PRINT
PRINT(" Time Sun hour angle Dial hour line angle")
PRINT("---------------------------------------------")
FOR HOUR=6 TO 18 DO
HRA=15*HOUR-LONGITUDE+MERIDIAN-180
HLA=DEG(ATN(SIN(RAD(LATITUDE))*TAN(RAD(HRA))))
IF ABS(HRA)>90 THEN HLA+=180*SGN(HRA*LATITUDE) END IF
WRITE("##.## ####.### ####.###";HOUR;HRA;HLA)
END FOR
END PROGRAM
</syntaxhighlight>
{{out}}
<pre>
Enter latitude (degrees) : ? -4.95
Enter longitude (degrees) : ? -150.5
Enter legal meridian (degrees): ? -150
Time Sun hour angle Dial hour line angle
---------------------------------------------
6.00 -89.500 84.225
7.00 -74.500 17.283
8.00 -59.500 8.334
9.00 -44.500 4.847
10.00 -29.500 2.795
11.00 -14.500 1.278
12.00 0.500 -0.043
13.00 15.500 -1.371
14.00 30.500 -2.910
15.00 45.500 -5.018
16.00 60.500 -8.671
17.00 75.500 -18.451
18.00 90.500 -95.775
</pre>
=={{header|Euphoria}}==
{{works with|OpenEuphoria}}
<syntaxhighlight lang="euphoria">
include std/console.e
include std/mathcons.e
atom lat = prompt_number("Enter Latitude: ",{})
atom lng = prompt_number("Enter Longitude: ",{})
atom lm = prompt_number("Enter Legal Meridian: ",{})
puts(1,'\n')
atom ha, hla
function D2R(atom degrees)
return degrees * PI / 180
end function
function R2D(atom radians)
return radians * 180 / PI
end function
function atan2(atom y, atom x)
return 2*arctan((sqrt(power(x,2)+power(y,2)) - x)/y)
end function
atom s_lat = sin(D2R(lat))
puts(1,"Hour, Sun Hour Angle, Dial Hour Line Angle\n")
for hour = -6 to 6 do
ha = hour * 15 - lng + lm
atom s = sin(D2R(ha))
atom c = cos(D2R(ha))
hla = R2D(atan2(s_lat*s,c))
printf(1,"%3d\t\t\t%7.3f\t\t\t%7.3f\n",{hour+12,ha,hla})
end for
if getc(0) then end if
</syntaxhighlight>
{{out}}
<pre>
Enter Latitude: -4.95
Enter Longitude: -150.5
Enter Legal Meridian: -150
Hour, Sun Hour Angle, Dial Hour Line Angle
6 -89.500 84.225
7 -74.500 17.283
8 -59.500 8.334
9 -44.500 4.847
10 -29.500 2.795
11 -14.500 1.278
12 0.500 -0.043
13 15.500 -1.371
14 30.500 -2.910
15 45.500 -5.018
16 60.500 -8.671
17 75.500 -18.451
18 90.500 -95.775
</pre>
=={{header|F_Sharp|F#}}==
{{trans|C#}}
<syntaxhighlight lang="fsharp">// Learn more about F# at http://fsharp.net
open System
//(degree measure)*Degrees => Radian measure
//(radian measure)/Degrees => Degree measure
let Degrees = Math.PI / 180.0
Console.Write("Enter latitude: ")
let latitude = Console.ReadLine() |> Double.Parse
Console.Write("Enter longitude: ")
let longitude = Console.ReadLine() |> Double.Parse
Console.Write("Enter legal meridian: ")
let meridian = Console.ReadLine() |> Double.Parse
let sineLatitude = Math.Sin(latitude * Degrees)
Console.WriteLine()
Console.WriteLine("Sine of latitude: {0}",sineLatitude)
Console.WriteLine("Difference of Longitudes (given longitude - meridian): {0}",longitude-meridian)
Console.WriteLine()
printfn "Numbers from 6 AM to 6 PM: "
printfn "Hour\t\tSun hour angle\t Dial hour line angle"
for hour in -6..6 do
let clockHour = if hour < 0 then String.Format("{0}AM",Math.Abs(hour)) else String.Format("{0}PM",hour)
let shr = 15.0*(float)hour - (longitude - meridian)
let dhla = Math.Atan(sineLatitude*Math.Tan(shr*Degrees))/Degrees;
Console.WriteLine("{0}\t\t{1}\t\t{2:0.000}",clockHour,shr,dhla)
done
//To keep the console window open, can be omitted with block comment (" (* comment *) ")
Console.WriteLine("Press any key to continue...")
Console.ReadKey() |> ignore</syntaxhighlight>
{{out|Example output}}
<pre>
Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
Sine of latitude: -0.0862863657979234
Difference of Longitudes (given longitude - meridian): -0.5
Numbers from 6 AM to 6 PM:
Hour Sun hour angle Dial hour line angle
6AM -89.5 84.225
5AM -74.5 17.283
4AM -59.5 8.334
3AM -44.5 4.847
2AM -29.5 2.795
1AM -14.5 1.278
0PM 0.5 -0.043
1PM 15.5 -1.371
2PM 30.5 -2.910
3PM 45.5 -5.018
4PM 60.5 -8.671
5PM 75.5 -18.451
6PM 90.5 84.225
Press any key to continue...
</pre>
=={{header|Factor}}==
{{trans|Java}}
<syntaxhighlight lang="factor">USING: formatting io kernel locals math math.functions math.libm
math.parser math.ranges math.trig sequences ;
IN: rosetta-code.sundial
: get-num ( str -- x ) write flush readln string>number ;
: get-input ( -- lat lng ref )
"Enter latitude: " "Enter longitude: "
"Enter legal meridian: " [ get-num ] tri@ ;
: .diff ( lat lng ref -- )
- [ deg>rad sin ] dip
"sine of latitude: %.3f\ndiff longitude: %.3f\n" printf ;
: line-angle ( lat hra-rad -- hla )
[ deg>rad sin ] [ [ sin * ] [ cos ] bi ] bi* fatan2 rad>deg
;
:: .angles ( lat lng ref -- )
"Hour, sun hour angle, dial hour line angle from 6am to 6pm"
print
-6 6 [a,b] [
:> h 15.0 h * :> hra!
ref hra lng - + hra!
lat hra deg>rad line-angle :> hla
h hra hla
"HR= %3d; \t HRA=%7.3f; \t HLA= %7.3f\n" printf
] each ;
: sundial-demo ( -- ) get-input nl 3dup .diff nl .angles ;
MAIN: sundial-demo</syntaxhighlight>
{{out}}
<pre>
Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA= -18.451
HR= 6; HRA= 90.500; HLA= -95.775
</pre>
=={{header|Forth}}==
<
pad 32 accept pad swap >float 0= throw ;
: >radians ( deg -- rad ) 180e f/ pi f* ;
Line 185 ⟶ 1,658:
faccept
cr ." Enter legal meridian: "
faccept f- fnegate ( sin[latitude] -longitude )
cr ." Hour : HourAngle , DialAngle"
7 -6 do
cr i 4 .r ." : "
fover fover
fdup f. ." , "
>radians
loop fdrop fdrop ;</
=={{header|Fortran}}==
{{works with|gfortran}} with <tt>-fbackslash</tt> option
<
real :: lat, slat, lng, ref
Line 241 ⟶ 1,714:
end function rd
end program SunDial</
=={{header|Go}}==
<syntaxhighlight lang="go">package main
import (
"fmt"
"math"
"os"
)
func getnum(prompt string) (r float64) {
fmt.Print(prompt)
if _, err := fmt.Scan(&r); err != nil {
fmt.Println(err)
os.Exit(-1)
}
return
}
func main() {
lat := getnum("Enter latitude => ")
lng := getnum("Enter longitude => ")
ref := getnum("Enter legal meridian => ")
slat := math.Sin(lat * math.Pi / 180)
diff := lng - ref
fmt.Println("\n sine of latitude: ", slat)
fmt.Println(" diff longitude: ", diff)
fmt.Println("\nHour, sun hour angle, dial hour line angle from 6am to 6pm")
for h := -6.; h <= 6; h++ {
hra := 15*h - diff
s, c := math.Sincos(hra * math.Pi / 180)
hla := math.Atan2(slat*s, c) * 180 / math.Pi
fmt.Printf("%2.0f %8.3f %8.3f\n", h, hra, hla)
}
}</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.08628636579792338
diff longitude: -0.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
-6 -89.500 84.225
-5 -74.500 17.283
-4 -59.500 8.334
-3 -44.500 4.847
-2 -29.500 2.795
-1 -14.500 1.278
0 0.500 -0.043
1 15.500 -1.371
2 30.500 -2.910
3 45.500 -5.018
4 60.500 -8.671
5 75.500 -18.451
6 90.500 -95.775
</pre>
=={{header|Haskell}}==
<syntaxhighlight lang="haskell">roundDec :: Int -> Double -> Double
roundDec d = (/ 10.0 ^ d) . fromIntegral . round . (* 10.0 ^ d)
radToDegr = ((180 / pi) *)
main = do
let lat
long
legalMerid = -150
sinOfLat
diff
(putStrLn . unlines)
mapM_
(\h ->
dhla = radToDegr . atan . (sinOfLat *) . tan $ degrToRad sha
take 7 (show h ++ repeat ' ') ++
take 16 (show (roundDec 3 sha) ++ repeat ' ') ++
" " ++ show (roundDec 3 dhla))
[-6,-5 .. 6]</syntaxhighlight>
{{out}}
<pre>*Rosetta.HorSunDial> main
Latitude -4.95
Line 294 ⟶ 1,828:
6.0 90.5 84.225</pre>
=={{header|
<syntaxhighlight lang="icon">procedure main()
PrintSundial(-4.95, -150.5, -150);
end
procedure PrintSundial(lat, lng, mer )
write("latitude: ", lat,
"\nlongitude: ", lng,
"\nlegal meridian: ", mer)
slat := sin(dtor(lat))
write("sine of latitude: ",slat,
"\ndiff longitude: ", lng-mer)
write("\nHour, sun hour angle, dial hour line angle from 6am to 6pm")
every h := -6 to 6 do {
hraRad := dtor(hra := 15 * h - (lng - mer))
hla :=rtod(atan(sin(hraRad)*slat, cos(hraRad)))
write("HR=",
right(if h <= 0 then 12+h else h,2),
if h < 0 then "am" else "pm",
" HRA=",hra,", HLA=",hla)
}
end</syntaxhighlight>
{{out}}
<pre>latitude: -4.95
longitude: -150.5
legal meridian: -150
sine of latitude: -0.08628636579792337
diff longitude: -0.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= 6am HRA=-89.5, HLA=84.22483260136025
HR= 7am HRA=-74.5, HLA=17.2829335027853
HR= 8am HRA=-59.5, HLA=8.333711921468083
HR= 9am HRA=-44.5, HLA=4.846708924373172
HR=10am HRA=-29.5, HLA=2.794873809318642
HR=11am HRA=-14.5, HLA=1.278352980919063
HR=12pm HRA=0.5, HLA=-0.04314426995813971
HR= 1pm HRA=15.5, HLA=-1.370787843187052
HR= 2pm HRA=30.5, HLA=-2.909643210076617
HR= 3pm HRA=45.5, HLA=-5.018023174356126
HR= 4pm HRA=60.5, HLA=-8.671396957302381
HR= 5pm HRA=75.5, HLA=-18.45099922256532
HR= 6pm HRA=90.5, HLA=-95.77516739863968</pre>
=={{header|J}}==
<syntaxhighlight lang="j">require 'trig'
atan2=: {:@*.@j. NB. arc tangent of y divided by x
horiz=: verb define
'lat lng ref'=. y
Line 307 ⟶ 1,888:
'Diff longitude ' out -diff=. ref - lng
lbl=.'hour ';'sun hour angle ';'dial hour line angle'
r=.((,. (,. (atan2 *&slat
smoutput lbl ,: ('3.0';'7.3';'7.3') 8!:1 r
)</
{{out|Example}}
<syntaxhighlight lang="j"> horiz _4.95 _150.5 _150
Latitude _4.95
Longitude _150.5
Line 334 ⟶ 1,913:
│ 4 │ 60.500 │ -8.671 │
│ 5 │ 75.500 │-18.451 │
│ 6 │ 90.500 │
└──────┴────────────────┴────────────────────┘</
=={{header|Java}}==
{{trans|C}} (Substitutes in atan2 for the hour line angle calculation)
<
public class Sundial {
public static void main(String[] args) {
Line 353 ⟶ 1,933:
System.out.println();
slat = Math.sin(
System.out.printf("sine of latitude: %.3f\n", slat);
System.out.printf("diff longitude: %.3f\n\n", lng - ref);
Line 360 ⟶ 1,940:
for (int h = -6; h <= 6; h++) {
double hla, hra, hraRad;
hra = 15.0 * h;
hra = hra - lng + ref;
hla = Math.toDegrees(Math.atan2(Math.sin(hraRad)*Math.sin(Math.toRadians(lat)), Math.cos(hraRad)));
System.out.printf("HR= %3d; \t HRA=%7.3f; \t HLA= %7.3f\n",
h, hra, hla);
}
}
}</syntaxhighlight>
{{out}}
<pre>Enter latitude: -4.95
Enter longitude: -150.5
Line 386 ⟶ 1,959:
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6;
HR= -5;
HR= -4;
HR= -3;
HR= -2;
HR= -1;
HR= 0;
HR= 1;
HR= 2;
HR= 3;
HR= 4;
HR= 5;
HR= 6;
=={{header|jq}}==
{{works with|jq}}
'''Also works with gojq, the Go implementation of jq.'''
'''Adapted from [[#Wren|Wren]]'''
'''Generic Utilities'''
<syntaxhighlight lang=jq>
# `prompts` should be an array defining the prompts, variable names, and their types,
# as exemplified below.
# After all values have been gathered, `get` emits an object defining the bindings.
def get($prompts):
label $out
| foreach range(0;infinite) as $_ ({i:null, imax: ($prompts|length)};
if .i == null then .i = 0
elif .i == .imax then break $out
else .help = null
| first(inputs) as $n
| $prompts[.i].type as $type
| if $type == null or $type == "string"
then .result[$prompts[.i].key] = $n
| .i += 1
elif $type == "number"
then (try ($n|tonumber) catch null) as $n
| if $n then .result[$prompts[.i].key] = $n
| .i += 1
else .help = .i
end
elif $type == "integer"
then if ($n|test("^[0-9]+$"))
then .result[$prompts[.i].key] = ($n|tonumber)
| .i += 1
else .help = .i
end
elif $type|type == "object"
then if $type.regex and ($n | test($type.regex))
then .result[$prompts[.i].key] = $n
| .i += 1
else .help = .i
end
else .
end
end;
(select(.help) | $prompts[.help].help // empty),
if .i < .imax then $prompts[.i].prompt
else .result
end )
;
def lpad($len): tostring | ($len - length) as $l | (" " * $l)[:$l] + .;
def rpad($len): tostring | ($len - length) as $l | . + ("0" * $l)[:$l];
# Input: a string of digits with up to one "."
# Output: the corresponding string representation with exactly $n decimal digits
def align_decimal($n):
tostring
| if index(".")
then capture("(?<i>[0-9]*[.])(?<j>[0-9]{0," + ($n|tostring) + "})")
| .i + (.j|rpad($n))
else . + "." + ("0" * $n)
end ;
def pi: 4*(1|atan);
</syntaxhighlight>
'''The Task'''
<syntaxhighlight lang=jq>
def prompts: [
{ prompt: "Enter latitude: ", key: "lat", type: "number", help: "in degrees"},
{ prompt: "Enter longitude: ", key: "lng", type: "number", help: "in degrees"},
{ prompt: "Enter legal meridian: ", key: "ref", type: "number", help: "in degrees"}
];
def task:
get(prompts)
| if type != "object" then . # the prompts
else
((.lat * pi / 180)|sin) as $slat
| (.lng - .ref) as $diff
| "\n sine of latitude : \($slat)",
" diff longitude : \($diff)",
"\nHour, sun hour angle, dial hour line angle from 6am to 6pm",
(range(-6;7) as $h
| (15*$h - $diff) as $hra
| (($hra * pi /180)|sin) as $s
| (($hra * pi /180)|cos) as $c
| (atan2($slat*$s; $c) * 180 / pi) as $hla
| [$h|lpad(3)] + ([$hra, $hla] | map(align_decimal(3)|lpad(7))) | join(" ") )
end;
task
</syntaxhighlight>
'''Invocation''':
The program handles user input errors provided the -R option is specified:
<pre>
jq -nRr -f horizontal-sundial-calculations.jq
</pre>
'''Transcript'''
<pre>
Enter latitude:
-4.95
Enter longitude:
-150.5
Enter legal meridian:
?
in degrees
Enter legal meridian:
-150
sine of latitude : -0.08628636579792338
diff longitude : -0.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
-6 89.500 84.224
-5 74.500 17.282
-4 59.500 8.333
-3 44.500 4.846
-2 29.500 2.794
-1 14.500 1.278
0 0.500 0.043
1 15.500 1.370
2 30.500 2.909
3 45.500 5.018
4 60.500 8.671
5 75.500 18.450
6 90.500 95.775
</pre>
=={{header|Julia}}==
{{trans|Python}}
<syntaxhighlight lang="julia">
print("Enter latitude => ")
lat = parse(Float64, readline(STDIN))
print("Enter longitude => ")
lng = parse(Float64, readline(STDIN))
print("Enter legal meridian => ")
ref = parse(Float64, readline(STDIN))
println()
slat = sin(deg2rad(lat))
@printf " sine of latitude: %.3f\n" slat
@printf " diff longitude: %.3f\n" (lng - ref)
println("\nHour, sun hour angle, dial hour line angle from 6am to 6pm\n")
for h in -6:6
hra = 15 * h
hra -= lng - ref
hla = rad2deg(atan(slat * tan(deg2rad(hra))))
@printf "HR = %3d; HRA = %7.3f; HLA = %7.3f\n" h hra hla
end
</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR = -6; HRA = -89.500; HLA = 84.225
HR = -5; HRA = -74.500; HLA = 17.283
HR = -4; HRA = -59.500; HLA = 8.334
HR = -3; HRA = -44.500; HLA = 4.847
HR = -2; HRA = -29.500; HLA = 2.795
HR = -1; HRA = -14.500; HLA = 1.278
HR = 0; HRA = 0.500; HLA = -0.043
HR = 1; HRA = 15.500; HLA = -1.371
HR = 2; HRA = 30.500; HLA = -2.910
HR = 3; HRA = 45.500; HLA = -5.018
HR = 4; HRA = 60.500; HLA = -8.671
HR = 5; HRA = 75.500; HLA = -18.451
HR = 6; HRA = 90.500; HLA = 84.225
</pre>
=={{header|Kotlin}}==
<syntaxhighlight lang="scala">import java.lang.Math.atan2
import java.lang.Math.cos
import java.lang.Math.sin
import java.lang.Math.toDegrees
import java.lang.Math.toRadians
// version 1.1.4
fun main(args: Array<String>) {
println("Please enter the following in degrees:")
print(" Latitude : ")
val lat = readLine()!!.toDouble()
print(" Longitude : ")
val lng = readLine()!!.toDouble()
print(" Legal Meridian : ")
val mer = readLine()!!.toDouble()
val slat = sin(toRadians(lat))
val diff = lng - mer
println("\nSine of latitude = ${"%.6f".format(slat)}")
println("Longitude - Meridian = ${"%.3f".format(diff)}\n")
println("Hour Sun Hour Angle Dial Hour Line Angle")
println("----- -------------- --------------------")
println(" ° °")
for (h in -6..6) {
var hr = h + 12
val am = if (hr < 12) "AM" else "PM"
if (hr > 12) hr -= 12
val sha = 15.0 * h - diff
val dhla = toDegrees(atan2(slat * sin(toRadians(sha)), cos(toRadians(sha))))
println("%2d %s %+7.3f %+7.3f".format(hr, am, sha, dhla))
}
}</syntaxhighlight>
Sample input/output:
{{out}}
<pre>
Please enter the following in degrees:
Latitude : -4.95
Longitude : -150.5
Legal Meridian : -150
Sine of latitude = -0.086286
Longitude - Meridian = -0.500
Hour Sun Hour Angle Dial Hour Line Angle
----- -------------- --------------------
° °
6 AM -89.500 +84.225
7 AM -74.500 +17.283
8 AM -59.500 +8.334
9 AM -44.500 +4.847
10 AM -29.500 +2.795
11 AM -14.500 +1.278
12 PM +0.500 -0.043
1 PM +15.500 -1.371
2 PM +30.500 -2.910
3 PM +45.500 -5.018
4 PM +60.500 -8.671
5 PM +75.500 -18.451
6 PM +90.500 -95.775
</pre>
=={{header|LiveCode}}==
Translation of BASIC versions.
<syntaxhighlight lang="livecode">on mouseUp
ask "Enter lng,lat,meridian"
if it is empty then exit mouseup
// -150.5, -4.95, -150.0
put item 1 of it into longitude
put item 2 of it into latitude
put item 3 of it into meridian
repeat with hour = 6 TO 18
put 15 *hour - longitude + meridian - 180 into hra
put rad2deg(atan(sin(deg2rad(latitude)) * tan(deg2rad(hra)))) into hla
if abs(hra) > 90 then put hla + 180 * sgn(hra *latitude) into hla
put hour && hra && hla & cr after sunhours
end repeat
put sunhours
end mouseUp
function rad2deg theta
return theta * (180 / pi)
end rad2deg
function deg2rad theta
return theta * (pi / 180)
end deg2rad
function sgn x
if x >0 then return 1 else return -1
end sgn</syntaxhighlight>
=={{header|Logo}}==
<
make "lat readword
type "|Enter longitude: |
Line 413 ⟶ 2,259:
make "hla arctan product sin :lat quotient sin :hra cos :hra
print (sentence "hour :hour ": :hra ", :hla)
]</
=={{header|Lua}}==
{{trans|Python}}
<syntaxhighlight lang="lua">io.write("Enter latitude => ")
lat = tonumber(io.read())
io.write("Enter longitude => ")
lng = tonumber(io.read())
io.write("Enter legal meridian => ")
ref = tonumber(io.read())
print()
slat = math.sin(math.rad(lat))
print(string.format(" sine of latitude: %.3f", slat))
print(string.format(" diff longitude: %.3f", lng-ref))
print()
print("Hour, sun hour angle, dial hour line angle from 6am to 6pm")
for h = -6, 6 do
hra = 15 * h
hra = hra - (lng - ref)
hla = math.deg(math.atan(slat * math.tan(math.rad(hra))))
print(string.format("HR=%3d; HRA=%7.3f; HLA=%7.3f", h, hra, hla))
end</syntaxhighlight>
=={{header|Mathematica}} / {{header|Wolfram Language}}==
<syntaxhighlight lang="mathematica">lat = Input["latitude", -4.95];
lng = Input["longitude", -150.5];
ref = Input["legal meridian", -150];
slat = Sin[lat Degree];
Table[
hra = 15 h;
hra -= lng - ref;
hla = N@ArcTan[slat Tan[hra Degree]]/Degree;
{h, hra, hla}
,
{h, -6, 6}
] // Prepend[{"Hour", "Sun hour angle",
"Dial hour line angle"}] // Grid</syntaxhighlight>
{{out}}
<pre>Hour Sun hour angle Dial hour line angle
-6 -89.5 84.2248
-5 -74.5 17.2829
-4 -59.5 8.33371
-3 -44.5 4.84671
-2 -29.5 2.79487
-1 -14.5 1.27835
0 0.5 -0.0431443
1 15.5 -1.37079
2 30.5 -2.90964
3 45.5 -5.01802
4 60.5 -8.6714
5 75.5 -18.451
6 90.5 84.2248</pre>
=={{header|МК-61/52}}==
<syntaxhighlight lang="text">МГ П2 -> МГ П1 -> МГ sin П0
6 /-/ П3
ИП3 1 5 * ИП1 ИП2 - - П4
tg ИП0 * arctg ИП4 ИП3 С/П
ИП3 1 + П3 7 - x=0 12
Сx С/П</syntaxhighlight>
''Input'': ''latitude'' ^ ''longitude'' ^ ''legal meridian'' С/П ... С/П ...; switch of the angle measure set to ''Г''.
''Example'': -4,57 ^ -150,3 ^ -150 С/П.
''Output'': hour in ''РX'', sun hour angle in ''РY'', dial hour line angle in ''РZ''.
=={{header|Modula-2}}==
{{trans|ALGOL-68}}
{{works with|ADW Modula-2|any (Compile with the linker option ''Console Application'').}}
<syntaxhighlight lang="modula2">
MODULE SunDial;
FROM STextIO IMPORT
WriteString, WriteLn, SkipLine;
FROM SRealIO IMPORT
ReadReal, WriteFixed, WriteFloat;
FROM SWholeIO IMPORT
WriteInt;
FROM RealMath IMPORT
sin, pi, arctan, tan;
VAR
Lat, Slat, Lng, Ref: REAL;
Hour: INTEGER;
HourAngle, HourLineAngle: REAL;
BEGIN
WriteString("Enter latitude => ");
ReadReal(Lat);
SkipLine;
WriteString("Enter longitude => ");
ReadReal(Lng);
SkipLine;
WriteString("Enter legal meridian => ");
ReadReal(Ref);
SkipLine;
WriteLn;
Slat := sin(Lat * pi / 180.0);
WriteString(" sine of latitude: ");
WriteFloat(Slat, 2, 8);
WriteLn;
WriteString(" diff longitude: ");
WriteFixed(Lng - Ref, 3, 1);
WriteLn;
WriteLn;
WriteString("Hour, sun hour angle, dial hour line angle from 6am to 6pm");
WriteLn;
FOR Hour := -6 TO 6 DO
HourAngle := FLOAT(15 * Hour);
HourAngle := HourAngle - (Lng - Ref); (* correct for longitude difference *)
HourLineAngle := arctan(Slat * tan(HourAngle * pi / 180.0)) * 180.0 / pi;
WriteString("HR=");
WriteInt(Hour, 3);
WriteString("; HRA=");
WriteFixed(HourAngle, 3, 8);
WriteString("; HLA=");
WriteFixed(HourLineAngle, 3, 8);
WriteLn;
END;
END SunDial.
</syntaxhighlight>
{{out}}
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -8.6E-02
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.500; HLA= 84.225
HR= -5; HRA= -74.500; HLA= 17.283
HR= -4; HRA= -59.500; HLA= 8.334
HR= -3; HRA= -44.500; HLA= 4.847
HR= -2; HRA= -29.500; HLA= 2.795
HR= -1; HRA= -14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA= -18.451
HR= 6; HRA= 90.500; HLA= 84.225
=={{header|newLISP}}==
{{trans|Lua}}
<syntaxhighlight lang="newlisp">(define pi 3.141592654)
(define (radians degrees) (mul degrees (div pi 180)))
(define (degrees radians) (mul radians (div 180 pi)))
(print "Enter latitude => ")
(set 'lat (float (read-line)))
(print "Enter longitude => ")
(set 'lng (float (read-line)))
(print "Enter legal meridian => ")
(set 'rf (float (read-line)))
(println)
(set 'slat (sin (radians lat)))
(println (format " sine of latitude: %.3f" slat))
(println (format " diff longitude: %.3f" (sub lng rf)))
(println)
(println "Hour, sun hour angle, dial hour line angle from 6am to 6pm")
(for (h -6 6)
(set 'hra (sub (mul 15 h) lng rf))
(set 'hla (degrees (atan (mul slat (tan (radians hra))))))
(println (format "HR=%3d; HRA=%7.3f; HLA=%7.3f" h hra hla))
)
(exit)</syntaxhighlight>
=={{header|Nim}}==
{{trans|Python}}
<syntaxhighlight lang="nim">import rdstdin, strutils, math, strformat
let lat = parseFloat readLineFromStdin "Enter latitude => "
let lng = parseFloat readLineFromStdin "Enter longitude => "
let med = parseFloat readLineFromStdin "Enter legal meridian => "
echo ""
let slat = sin lat.degToRad
echo &" sine of latitude: {slat:.3f}"
echo &" diff longitude: {lng-med:.3f}"
echo ""
echo "Hour, sun hour angle, dial hour line angle from 6am to 6pm"
for h in -6..6:
let hra = float(15 * h) - lng + med
let hla = arctan(slat * tan(hra.degToRad)).radToDeg
echo &"HR={h:3d}; HRA={hra:7.3f}; HLA={hla:7.3f}"</syntaxhighlight>
{{out}}
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA= 84.225</pre>
=={{header|Objeck}}==
{{trans|C#}}
<syntaxhighlight lang="objeck">
class Sundial {
function : Main(args : String[]) ~ Nil {
"Enter latitude: "->Print();
lat := System.IO.Console->ReadString()->ToFloat();
"Enter longitude: "->Print();
lng := System.IO.Console->ReadString()->ToFloat();
"Enter legal meridian: "->Print();
ref := System.IO.Console->ReadString()->ToFloat();
'\n'->PrintLine();
slat := lat->ToRadians()->Sin();
"sine of latitude: {$slat}"->PrintLine();
value := lng - ref;
"diff longitude: {$value}"->PrintLine();
'\n'->PrintLine();
"Hour\t\tsun hour angle\t\tdial hour line angle from 6am to 6pm"->PrintLine();
for (h := -6; h <= 6; h+=1;) {
hra := 15.0 * h;
hra -= lng - ref;
hla := (slat* (hra*2*Float->Pi()/360.0)->Tan())->ArcTan() * 360.0 / (2*Float->Pi());
"HR={$h}\t\tHRA={$hra}\t\tHLA={$hla}"->PrintLine();
};
}
}
</syntaxhighlight>
=={{header|OCaml}}==
{{trans|ALGOL 68}}
<
let pi = 4. *. atan 1. in
print_endline "Enter latitude => ";
Line 440 ⟶ 2,540:
Printf.printf "HR= %3d; \t HRA=%7.3f; \t HLA= %7.3f\n" h hra hla;
done
</syntaxhighlight>
{{out}}
<pre>
Enter latitude =>
Line 471 ⟶ 2,570:
=={{header|Octave}}==
<
lng = input("Enter longitude: ");
ref = input("Enter legal meridian: ");
Line 482 ⟶ 2,581:
hlas = atand( tand(hras) .* slat );
printf("HR= %3d; \t HRA=%7.3f; \t HLA= %7.3f\n",
[ [-6:6]; hras; hlas] );</
=={{header|OoRexx}}==
{{trans|REXX}}
<syntaxhighlight lang="oorexx">/*REXX pgm shows: hour, sun hour angle, dial hour line angle, 6am ---> 6pm*/
/* Use trigonometric functions provided by rxCalc */
parse arg lat lng mer . /*get the optional arguments from the CL*/
/*None specified? Then use the default of Jules */
/*Verne's Lincoln Island, aka Ernest Legouve Reef.*/
if lat=='' | lat==',' then lat=-4.95 /*Not specified? Then use the default.*/
if lng=='' | lng==',' then lng=-150.5 /* " " " " " " */
if mer=='' | mer==',' then mer=-150 /* " " " " " " */
L=max(length(lat), length(lng), length(mer))
say ' latitude:' right(lat,L)
say ' longitude:' right(lng,L)
say ' legal meridian:' right(mer,L)
sineLat=rxCalcSin(lat,,'D')
w1=max(length('hour') ,length('midnight'))+2
w2=max(length('sun hour') ,length('angle'))+2
w3=max(length('dial hour'),length('line angle'))+2
indent=left('',30) /*make the presentation prettier. */
say indent center(' ',w1) center('sun hour',w2) center('dial hour' ,w3)
say indent center('hour',w1) center('angle' ,w2) center('line angle',w3)
call sep /*add a separator line for the eyeballs*/
do h=-6 to 6 /*Okey dokey then, let's get busy. */
select
when abs(h)==12 then hc='midnight' /*above the arctic circle? */
when h<0 then hc=-h 'am' /*convert the hour for human beans. */
when h==0 then hc='noon' /* ... easier to understand now. */
when h>0 then hc=h 'pm' /* ... even more meaningful. */
end /*select*/
hra=15*h-lng+mer
hla=rxCalcArctan(sineLat*rxCalctan(hra,,'D'),,'D')
say indent center(hc,w1) right(format(hra,,1),w2) right(format(hla,,1),w3)
end
call sep
Exit
sep: say indent copies('-',w1) copies('-',w2) copies('-',w3)
Return
::Requires rxMath Library</syntaxhighlight>
{{out}}
Not the same as for REXX anymore as the REXX computer programming example has been updated.
=={{header|Pascal}}==
<
Const
Line 520 ⟶ 2,662:
tab, ' HLA= ', hla:7:3)
end
end.</
=={{header|Perl}}==
{{trans|Raku}}
<syntaxhighlight lang="perl">use utf8;
binmode STDOUT, ":utf8";
use constant π => 3.14159265;
sub d2r { $_[0] * π / 180 } # degrees to radians
sub r2d { $_[0] * 180 / π } # radians to degrees
print 'Enter latitude => '; $latitude = <>;
print 'Enter longitude => '; $longitude = <>;
print 'Enter legal meridian => '; $meridian = <>;
$lat_sin = sin( d2r($latitude) );
$offset = $meridian - $longitude;
print 'Sine of latitude: ' . sprintf "%.4f\n", $lat_sin;
print 'Longitude offset: ' . $offset . "\n";
print '=' x 48 . "\n";
print " Hour : Sun hour angle°: Dial hour line angle°\n";
for $hour (-6 .. 6) {
my $sun_deg = $hour * 15 + $offset;
my $line_deg = r2d atan2( ( sin(d2r($sun_deg)) * $lat_sin ), cos(d2r($sun_deg)) );
printf "%2d %s %8.3f %8.3f\n",
($hour + 12) % 12 || 12, ($hour < 0 ? 'AM' : 'PM'), $sun_deg, $line_deg;
}</syntaxhighlight>
{{out}}
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
Sine of latitude: -0.0863
Longitude offset: 0.5
================================================
Hour : Sun hour angle°: Dial hour line angle°
6 AM -89.500 84.225
7 AM -74.500 17.283
8 AM -59.500 8.334
9 AM -44.500 4.847
10 AM -29.500 2.795
11 AM -14.500 1.278
12 PM 0.500 -0.043
1 PM 15.500 -1.371
2 PM 30.500 -2.910
3 PM 45.500 -5.018
4 PM 60.500 -8.671
5 PM 75.500 -18.451
6 PM 90.500 -95.775</pre>
=={{header|Phix}}==
For better behaviour/proper input on pwa/p2js I suppose this should really be a pGUI app.
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">prompt</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">text</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Enter %s (%g):"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">text</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">})</span>
<span style="color: #004080;">object</span> <span style="color: #000000;">answer</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">gets</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">'\n'</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #004080;">string</span><span style="color: #0000FF;">(</span><span style="color: #000000;">answer</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">to_number</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">trim</span><span style="color: #0000FF;">(</span><span style="color: #000000;">answer</span><span style="color: #0000FF;">),</span><span style="color: #000000;">v</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s:%g\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">text</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">v</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">deg2rad</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">PI</span><span style="color: #0000FF;">/</span><span style="color: #000000;">180</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">rad2deg</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">180</span><span style="color: #0000FF;">/</span><span style="color: #004600;">PI</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">lat</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">prompt</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"Latitude"</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">4.95</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">lng</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">prompt</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"Longitude"</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">150.5</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">mer</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">prompt</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"Legal Meridian"</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">150</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">slat</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sin</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lat</span><span style="color: #0000FF;">*</span><span style="color: #000000;">deg2rad</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"""
Sine of latitude: %g
Longitude offset: %g
Hour Sun hour angle Dial hour line angle
-------- -------------- --------------------
"""</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">slat</span><span style="color: #0000FF;">,</span><span style="color: #000000;">lng</span><span style="color: #0000FF;">-</span><span style="color: #000000;">mer</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">hour</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">6</span> <span style="color: #008080;">to</span> <span style="color: #000000;">6</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">ha</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">hour</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">15</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">lng</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">mer</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sin</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ha</span><span style="color: #0000FF;">*</span><span style="color: #000000;">deg2rad</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cos</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ha</span><span style="color: #0000FF;">*</span><span style="color: #000000;">deg2rad</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">hla</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">atan2</span><span style="color: #0000FF;">(</span><span style="color: #000000;">slat</span><span style="color: #0000FF;">*</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">rad2deg</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">hour12</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hour</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #000000;">hour</span><span style="color: #0000FF;">+</span><span style="color: #000000;">12</span><span style="color: #0000FF;">:</span><span style="color: #000000;">hour</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">am</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hour</span><span style="color: #0000FF;"><</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #008000;">"am"</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"pm"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%3d:00%s %12.3f %17.3f\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">hour12</span><span style="color: #0000FF;">,</span><span style="color: #000000;">am</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ha</span><span style="color: #0000FF;">,</span><span style="color: #000000;">hla</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
Enter Latitude (-4.95):
Enter Longitude (-150.5):
Enter Legal Meridian (-150):
Sine of latitude: -0.086286
Longitude offset: -0.5
Hour Sun hour angle Dial hour line angle
-------- -------------- --------------------
6:00am -89.500 84.225
7:00am -74.500 17.283
8:00am -59.500 8.334
9:00am -44.500 4.847
10:00am -29.500 2.795
11:00am -14.500 1.278
12:00pm 0.500 -0.043
1:00pm 15.500 -1.371
2:00pm 30.500 -2.910
3:00pm 45.500 -5.018
4:00pm 60.500 -8.671
5:00pm 75.500 -18.451
6:00pm 90.500 -95.775
</pre>
=={{header|PicoLisp}}==
{{trans|ALGOL 68}}
<
(de prompt (Str . Arg)
Line 536 ⟶ 2,799:
(prinl)
(let Slat (sin (*/ Lat pi 180.0))
(prinl " sine of latitude: " (round Slat
(prinl " diff longitude: " (round (- Lng Ref)
(prinl)
(prinl "Hour, sun hour angle, dial hour line angle from 6am to 6pm")
Line 547 ⟶ 2,810:
(align 3 H)
"; HRA="
(align 8 (round Hra
"; HLA="
(align 8 (round Hla
{{out}}
<pre>Enter latitude => -4.95
Enter longitude => -150.5
Line 573 ⟶ 2,836:
HR= 6; HRA= 90.500; HLA= 84.225</pre>
=={{header|
<syntaxhighlight lang="powershell">
function Get-Sundial
{
[CmdletBinding()]
[OutputType([PSCustomObject])]
Param
(
[Parameter(Mandatory=$true)]
[ValidateRange(-90,90)]
[double]
$Latitude,
[Parameter(Mandatory=$true)]
[ValidateRange(-180,180)]
[Parameter(Mandatory=$true)]
[ValidateRange(-180,180)]
[double]
$Meridian
)
[double]$sinLat = [Math]::Sin($Latitude*2*[Math]::PI/360)
$object = [PSCustomObject]@{
"Sine of Latitude" = [Math]::Round($sinLat,3)
"Longitude Difference" = $Longitude - $Meridian
}
$hoursArray = foreach ($hour in $hours)
{
[double]$hra = (15 * $hour) - ($Longitude - $Meridian)
[double]$hla = [Math]::Atan($sinLat*[Math]::Tan($hra*2*[Math]::PI/360))*360/(2*[Math]::PI)
[PSCustomObject]@{
"Hour" = "{0,8}" -f ((Get-Date -Hour ($hour + 12) -Minute 0).ToString("t"))
"Sun Hour Angle" = [Math]::Round($hra,3)
"Dial Hour Line Angle" = [Math]::Round($hla,3)
}
}
$object | Add-Member -MemberType NoteProperty -Name Hours -Value $hoursArray -PassThru
}
$sundial = Get-Sundial -Latitude -4.95 -Longitude -150.5 -Meridian -150
$sundial | Select-Object -Property "Sine of Latitude", "Longitude Difference" | Format-List
$sundial.Hours | Format-Table -AutoSize
</syntaxhighlight>
{{Out}}
<pre>
Sine of Latitude : -0.086
Longitude Difference : -0.5
Hour Sun Hour Angle Dial Hour Line Angle
---- -------------- --------------------
6:00 AM -89.5 84.225
7:00 AM -74.5 17.283
8:00 AM -59.5 8.334
9:00 AM -44.5 4.847
10:00 AM -29.5 2.795
11:00 AM -14.5 1.278
12:00 PM 0.5 -0.043
1:00 PM 15.5 -1.371
2:00 PM 30.5 -2.91
3:00 PM 45.5 -5.018
4:00 PM 60.5 -8.671
5:00 PM 75.5 -18.451
6:00 PM 90.5 84.225
</pre>
=={{header|Python}}==
{{trans|ALGOL 68}}
<
import math
try: raw_input
Line 642 ⟶ 2,938:
hra -= lng - ref
hla = math.degrees(math.atan(slat * math.tan(math.radians(hra))))
print("HR=%3d; HRA=%7.3f; HLA=%7.3f" % (h, hra, hla))</
{{out}}
<pre>
Enter latitude => -4.95
Line 667 ⟶ 2,964:
</pre>
=={{header|
{{trans|ALGOL 68}}
I must say, I'm a bit astonished by the fact that no one is bothered by the atan problem (HLA=84.225) that appears in the ALGOL 68 solution and all of the ones derived from it. Composing tan & atan produces the identity only in the range [-90,90], and you have to correct for angles outside of this.
Also, I apologize for the length; I added quite a bit of commenting, and I peeled things out into functions so I could test them. Hopefully, the result--though longer--is also more readable.
<syntaxhighlight lang="racket">#lang racket
;; print the table for a given latitude and longitude-offset,
;; given in degrees
(define (print-table lat long-offset)
;; print the table header
(display
(~a " sine of latitude: "
(~r (sin (deg->rad lat))
" diff longitude: "
(~r long-offset #:precision '(= 3))
"\n\nHour, sun hour angle, dial hour line angle "
"from 6am to 6pm\n"))
;; print the table
(for ([h (in-range -6 7)])
(define hra (- (* 15 h) long-offset))
(define hla (to-hla lat hra))
(display (~a "HR="(pad-to 3 (~a h))"; "
"HRA="(pad-to 7 (~r hra #:precision '(= 3)))"; "
"HLA="(pad-to 7 (~r hla #:precision '(= 3)))"\n"))))
;; compute the angle on the gnomon corresponding to a
;; given angle of the sun (angles given and returned in degrees)
(define (to-hla lat ang)
(define lat-sign (cond [(< lat 0) -1] [else 1]))
;; move to the right quadrant for
;; angles outside [-90,90]
(define correction (* (cond [(< ang -90) -180]
[(> ang 90) 180]
[else 0])
lat-sign))
(+ (rad->deg (atan (* (sin (deg->rad lat))
(tan (deg->rad ang)))))
correction))
;; write the prompt, return the entered number
(define (prompt->num p)
(printf "~a" p)
(string->number (read-line)))
;; translate degrees to radians
(define (deg->rad d) (* 2 pi (/ d 360)))
;; translate radians to degrees
(define (rad->deg r) (* 360 (/ r (* 2 pi))))
;; add spaces to reach given length
(define (pad-to cols str)
(define spaces-needed (max 0 (- cols (string-length str))))
(string-append
(list->string (for/list ([i spaces-needed]) #\space))
str))
;; INPUT PARAMETERS, PRINT TABLE:
(define lat (prompt->num "Enter latitude => "))
(define lng (prompt->num "Enter longitude => "))
(define ref (prompt->num "Enter legal meridian => "))
(print-table lat (- lng ref))
;; test cases for angle conversion
(require rackunit)
(check < (to-hla 30 89) 90)
(check-= (to-hla 30 90) 90 1e-5)
(check > (to-hla 30 91) 90)
(check > (to-hla 30 -89) -90)
(check-= (to-hla 30 90) 90 1e-5)
(check < (to-hla 30 -91) -90)
(check < (to-hla -30 -89) 90)
(check-= (to-hla -30 -90) 90 1e-5)
(check > (to-hla -30 -91) 90)
(check > (to-hla -30 89) -90)
(check-= (to-hla -30 90) -90 1e-5)
(check < (to-hla -30 91) -90)
</syntaxhighlight>
{{Out}}
<pre>Welcome to DrRacket, version 5.3.3.5--2013-02-20(5eddac74/d) [3m].
Language: racket; memory limit: 512 MB.
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA=-89.500; HLA= 84.225
HR= -5; HRA=-74.500; HLA= 17.283
HR= -4; HRA=-59.500; HLA= 8.334
HR= -3; HRA=-44.500; HLA= 4.847
HR= -2; HRA=-29.500; HLA= 2.795
HR= -1; HRA=-14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA=-18.451
HR= 6; HRA= 90.500; HLA=-95.775
>
</pre>
=={{header|Raku}}==
(formerly Perl 6)
<syntaxhighlight lang="raku" line>sub postfix:<°> ($a) { $a * pi / 180 } # degrees to radians
sub postfix:<®> ($a) { $a * 180 / pi } # radians to degrees
my $latitude = prompt 'Enter latitude => ';
my $longitude = prompt 'Enter longitude => ';
my $meridian = prompt 'Enter legal meridian => ';
my $lat_sin = sin( $latitude° );
say 'Sine of latitude: ', $lat_sin.fmt("%.4f");
say 'Longitude offset: ', my $offset = $meridian - $longitude;
say '=' x 48;
say ' Hour : Sun hour angle° : Dial hour line angle°';
for -6 .. 6 -> $hour {
my $sun_deg = $hour * 15 + $offset;
my $line_deg = atan2( ( sin($sun_deg°) * $lat_sin ), cos($sun_deg°) )®;
printf "%2d %s %7.3f %7.3f\n",
($hour + 12) % 12 || 12, ($hour < 0 ?? 'AM' !! 'PM'), $sun_deg, $line_deg;
}</syntaxhighlight>
{{out|Example output}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
Sine of latitude: -0.0863
Longitude offset: 0.5
================================================
Hour : Sun hour angle° : Dial hour line angle°
6 AM -89.500 84.225
7 AM -74.500 17.283
8 AM -59.500 8.334
9 AM -44.500 4.847
10 AM -29.500 2.795
11 AM -14.500 1.278
12 PM 0.500 -0.043
1 PM 15.500 -1.371
2 PM 30.500 -2.910
3 PM 45.500 -5.018
4 PM 60.500 -8.671
5 PM 75.500 -18.451
6 PM 90.500 -95.775
</pre>
=={{header|REXX}}==
The REXX language doesn't have the usual trigonometric functions, nor for that matter, a '''sqrt''' (square root) function,
<br>so these as well as '''pi''' were added to this program.
The ''legal meridian'' is calculated instead of relying on a specified amount.
The time range was extended (to include quarter─hour times), and to show that the ''dial hour line angle'' just doesn't
<br> change its sign when it exceeds <big>'''± 90º'''</big>.
No attempt was made to explain the inner workings of the trigonometric functions.
<syntaxhighlight lang="rexx">/*REXX program displays: hour, sun hour angle, dial hour line angle, 6am ───► 6pm. */
numeric digits length( pi() ) - length(.) /*in case sundial is in polar regions. */
parse arg lat lng . /*obtain optional arguments from the CL*/
/* ┌───────────◄ None specified? Then use the default*/
/* │ of Jules Verne's Lincoln Island, */
$= left('', 30) /* ↓ aka Ernest Legouve Reef. */
if lat=='' | lat=="," then lat= -4.95 /*Not specified? Then use the default.*/
if lng=='' | lng=="," then lng= -150.5 /* " " " " " " */
mer= format(lng/15, , 0) * 15 /*calculate legal meridian longitude. */
sineLat= sin( d2r(lat) ) /*calculate sine of (radian) latitude. */
w1= max( length('hour' ), length("midnight" )) + 2 /*compute the max hour width*/
w2= max( length('sun hour' ), length("angle" )) + 2 /* " " " angle " */
w3= max( length('dial hour'), length("line angle")) + 2 /* " " " lineº " */
L= max( length(lat), length(lng), length(mer) ) /*find the maximum length of 3 numbers.*/
say ' latitude:' right(lat, L) /*display the latitude to the terminal*/
say ' longitude:' right(lng, L) /* " " longitude " " " */
say ' legal meridian:' right(mer, L) /* " legal meridian " " " */
say $ center(' ', w1) center("sun hour", w2) center('dial hour' , w3)
say $ center('hour', w1) center(" angle" , w2) center('line angle', w3)
call sep /*to help a one─eyed pirate's eyeball. */
do h=5 to 19 by .25 /*Okey dokey then, now let's show stuff*/
hra= 15 * h - lng + mer - 180 /*calculate sun hour angle (in degrees)*/
hla= r2d( Atan(sineLat * tan(d2r(hra)))) /*this is the heavy lifting calculation*/
if abs(hra)>90 then hla= hla + 180 * sign(hra*lat) /*adjust for negative angle*/
call civil /*convert the time─of─day to civil time*/
say $ center(hc, w1) right(format(hra,,1), w2-2)@ right(format(hla,,1), w3-5)
end /*h*/
call sep /*to help a one─eyed pirate's eyeball. */
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923078; return pi
d2d: return arg(1) // 360 /*normalize degrees ──► a unit circle. */
d2r: return r2r( arg(1) * pi() / 180) /*convert degrees ──► radians. */
r2d: return d2d( (arg(1) * 180 / pi() ) ) /*convert radians ──► degrees. */
r2r: return arg(1) //(pi() * 2) /*normalize radians ──► a unit circle. */
sep: say $ copies('═', w1) copies("═", w2) copies('═', w3); @= left('',3); return
tan: procedure; parse arg x; _= cos(x); if _=0 then call tanErr; return sin(x)/_
tellErr: say; say '*** error ***'; say; say arg(1); say; exit 13
AsinErr: call tellErr 'Asin(x), X must be in the range of -1 ──► +1, X=' x
AcosErr: call tellErr 'Acos(x), X must be in the range of -1 ──► +1, X=' x
tanErr: call tellErr 'tan(' || x") causes division by zero, X=" x
Acos: procedure; arg x; if x<-1 | x>1 then call AcosErr; return .5 * pi() - Asin(x)
Atan: procedure; parse arg x; if abs(x)=1 then return pi()*x/4; return Asin(x/sqrt(1+x*x))
/*──────────────────────────────────────────────────────────────────────────────────────*/
Asin: procedure; parse arg x; if x<-1 | x>1 then call AsinErr; s= x*x
if abs(x)>=sqrt(2)*.5 then return sign(x) * Acos(sqrt(1-s)); z= x; o= x; p= z
do j=2 by 2; o= o*s*(j-1)/j; z=z+o/(j+1); if z=p then leave; p= z; end; return z
/*──────────────────────────────────────────────────────────────────────────────────────*/
sin: procedure; parse arg x; x= r2r(x); numeric fuzz min(5, digits() - 3)
if abs(x)=pi then return; return .sinCos(x, x, 1)
/*──────────────────────────────────────────────────────────────────────────────────────*/
cos: procedure; parse arg x; x= r2r(x); a= abs(x); hpi= pi * .5
numeric fuzz min(6, digits() - 3); if a=pi then return -1
if a=hpi | a=hpi*3 then return 0; if a=pi/3 then return .5
if a=pi * 2 / 3 then return '-.5'; return .sinCos(1, 1, '-1')
/*──────────────────────────────────────────────────────────────────────────────────────*/
.sinCos: parse arg z,!,i; x= x*x; p= z
do #=2 by 2; != -!*x/(#*(#+i)); z= z+!; if z=p then leave; p= z; end; return z
/*──────────────────────────────────────────────────────────────────────────────────────*/
civil: select /* [↓] Maybe below Antarctic circle, */
when h== 0 then hc= 'midnight' /* or above Arctic " */
when h <12 then hc= h 'am' /*convert da hour for human beans (sic)*/
when h==12 then hc= 'noon' /* ··· easier to understand now. */
when h >0 then hc= h 'pm' /* ··· even more meaningful. */
end /*select*/
parse var hc hh ampm .; if \datatype(hh, 'N') then return /*not numeric? */
hh= hh / 1; if hh>12 then hh= hh - 12 /*civil time ? */
if pos(., hh)==0 then do; hc= right(hh, 2)' ' ampm; return; end /*exact hour ? */
parse var hh hr '.' -0 mn; if hr==0 then hr= 12 /*get MN; noon?*/
mn= mn * 60 / 1; hc= right(hr, 2)":"right(mn, 2, 0) ampm; return /*reformat time*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); numeric digits; h=d+6
m.=9; numeric form; parse value format(x,2,1,,0) 'E0' with g 'E' _ .; g=g*.5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end /*j*/
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end /*k*/; return g</syntaxhighlight>
{{out|output|text= when using the default inputs:}}
<pre>
latitude: -4.95
longitude: -150.5
legal meridian: -150
sun hour dial hour
hour angle line angle
══════════ ══════════ ════════════
5 am -104.5 161.5
5:15 am -100.8 155.6
5:30 am -97.0 144.9
5:45 am -93.3 123.3
6 am -89.5 84.2
6:15 am -85.8 49.3
6:30 am -82.0 31.5
6:45 am -78.3 22.5
7 am -74.5 17.3
7:15 am -70.8 13.9
7:30 am -67.0 11.5
7:45 am -63.3 9.7
8 am -59.5 8.3
8:15 am -55.8 7.2
8:30 am -52.0 6.3
8:45 am -48.3 5.5
9 am -44.5 4.8
9:15 am -40.8 4.3
9:30 am -37.0 3.7
9:45 am -33.3 3.2
10 am -29.5 2.8
10:15 am -25.8 2.4
10:30 am -22.0 2.0
10:45 am -18.3 1.6
11 am -14.5 1.3
11:15 am -10.8 0.9
11:30 am -7.0 0.6
11:45 am -3.3 0.3
12 pm 0.5 0.0
12:15 pm 4.3 -0.4
12:30 pm 8.0 -0.7
12:45 pm 11.8 -1.0
1 pm 15.5 -1.4
1:15 pm 19.3 -1.7
1:30 pm 23.0 -2.1
1:45 pm 26.8 -2.5
2 pm 30.5 -2.9
2:15 pm 34.3 -3.4
2:30 pm 38.0 -3.9
2:45 pm 41.8 -4.4
3 pm 45.5 -5.0
3:15 pm 49.3 -5.7
3:30 pm 53.0 -6.5
3:45 pm 56.8 -7.5
4 pm 60.5 -8.7
4:15 pm 64.3 -10.1
4:30 pm 68.0 -12.1
4:45 pm 71.8 -14.7
5 pm 75.5 -18.5
5:15 pm 79.3 -24.4
5:30 pm 83.0 -35.1
5:45 pm 86.8 -56.7
6 pm 90.5 -95.8
6:15 pm 94.3 -130.7
6:30 pm 98.0 -148.5
6:45 pm 101.8 -157.5
7 pm 105.5 -162.7
══════════ ══════════ ════════════
</pre>
=={{header|Ring}}==
<syntaxhighlight lang="ring">
# Project : Horizontal sundial calculations
load "stdlib.ring"
pi = 22/7
decimals(3)
latitude = -4.95
longitude = -150.5
meridian = -150.0
see "enter latitude (degrees): " + latitude + nl
see "enter longitude (degrees): " + longitude + nl
see "enter legal meridian (degrees): " + meridian + nl
see "time " + " sun hour angle" + " dial hour line angle" +
for hour = 6 to 18
hra = 15*hour - longitude + meridian - 180
hla = 180/pi*(atan(sin(pi/180*latitude) * tan(pi/180*hra)))
if fabs(hra) > 90
hla = hla + 180 * sign(hra * latitude)
ok
see "" + hour + " " + hra + " " + hla + nl
next
</syntaxhighlight>
Output:
<pre>
enter latitude (degrees): -4.950
enter longitude (degrees): -150.500
enter legal meridian (degrees): -150
time sun hour angle dial hour line angle
6 -89.500 84.607
7 -74.500 17.316
8 -59.500 8.342
9 -44.500 4.850
10 -29.500 2.796
11 -14.500 1.279
12 0.500 -0.043
13 15.500 -1.371
14 30.500 -2.911
15 45.500 -5.021
16 60.500 -8.680
17 75.500 -18.488
18 90.500 -96.224
</pre>
Line 789 ⟶ 3,324:
{{trans|ALGOL 68}}
{{trans|Python}}
<
DtoR = PI/180
Line 811 ⟶ 3,346:
hla = atan( slat * tan( hra * DtoR ))/ DtoR
puts "HR =%3d; HRA =%7.3f; HLA =%7.3f" % [h, hra, hla]
end</
{{out}}
<pre>
Enter latitude: -4.95
Line 834 ⟶ 3,370:
HR = 5; HRA = 75.500; HLA =-18.451
HR = 6; HRA = 90.500; HLA = 84.225
</pre>
=={{header|Rust}}==
<syntaxhighlight lang="rust">
use std::io;
struct SundialCalculation {
hour_angle: f64,
hour_line_angle: f64,
}
fn get_input(prompt: &str) -> Result<f64, Box<dyn std::error::Error>> {
println!("{}", prompt);
let mut input = String::new();
let stdin = io::stdin();
stdin.read_line(&mut input)?;
Ok(input.trim().parse::<f64>()?)
}
fn calculate_sundial(hour: i8, lat: f64, lng: f64, meridian: f64) -> SundialCalculation {
let diff = lng - meridian;
let hour_angle = f64::from(hour) * 15. - diff;
let hour_line_angle = (hour_angle.to_radians().tan() * lat.to_radians().sin())
.atan()
.to_degrees();
SundialCalculation {
hour_angle,
hour_line_angle,
}
}
fn main() -> Result<(), Box<dyn std::error::Error>> {
let lat = get_input("Enter latitude => ")?;
let lng = get_input("Enter longitude => ")?;
let meridian = get_input("Enter legal meridian => ")?;
let diff = lng - meridian;
let sine_lat = lat.to_radians().sin();
println!("Sine of latitude: {:.5}", sine_lat);
println!("Diff longitude: {}", diff);
println!(" Hrs Angle Hour Line Angle");
(-6..=6).for_each(|hour| {
let sd = calculate_sundial(hour, lat, lng, meridian);
println!(
"{:>3}{} {:>5} {:>+15.5}",
if hour == 0 { 12 } else { (hour + 12) % 12 },
if hour <= 6 { "pm" } else { "am" },
sd.hour_angle,
sd.hour_line_angle
);
});
Ok(())
}
</syntaxhighlight>
{{out}}
<pre>
Enter latitude =>
-4.95
Enter longitude =>
-150.5
Enter legal meridian =>
-150
Sine of latitude: -0.08629
Diff longitude: -0.5
Hrs Angle Hour Line Angle
6pm -89.5 +84.22483
7pm -74.5 +17.28293
8pm -59.5 +8.33371
9pm -44.5 +4.84671
10pm -29.5 +2.79487
11pm -14.5 +1.27835
12pm 0.5 -0.04314
1pm 15.5 -1.37079
2pm 30.5 -2.90964
3pm 45.5 -5.01802
4pm 60.5 -8.67140
5pm 75.5 -18.45100
6pm 90.5 +84.22483
</pre>
=={{header|Sather}}==
<
getvalue(s:STR):FLT is
Line 868 ⟶ 3,483:
end;
end;
end;</
=={{header|Scala}}==
<syntaxhighlight lang="scala">import java.util.Scanner
import scala.math.{atan2, cos, sin, toDegrees, toRadians}
object Sundial extends App {
var lat, slat,lng, ref = .0
val sc = new Scanner(System.in)
print("Enter latitude: ")
lat = sc.nextDouble
print("Enter longitude: ")
lng = sc.nextDouble
print("Enter legal meridian: ")
ref = sc.nextDouble
println()
slat = Math.sin(Math.toRadians(lat))
println(f"sine of latitude: $slat%.3f")
println(f"diff longitude: ${lng - ref}%.3f\n")
println("Hour, sun hour angle, dial hour line angle from 06h00 to 18h00")
for (h <- -6 to 6) {
val hra = 15.0 * h - lng + ref
val hraRad = toRadians(hra)
val hla = toDegrees(atan2(Math.sin(hraRad) * sin(Math.toRadians(lat)), cos(hraRad)))
println(f"HR= $h%3d;\tHRA=$hra%7.3f;\tHLA= $hla%7.3f")
}
}</syntaxhighlight>
=={{header|Seed7}}==
<syntaxhighlight lang="seed7">$ include "seed7_05.s7i";
include "float.s7i";
include "math.s7i";
const float: radianToDegrees is 57.295779513082320876798154814114;
const float: degreesToRadian is 0.017453292519943295769236907684883;
const proc: main is func
local
var float: lat is 0.0;
var float: slat is 0.0;
var float: lng is 0.0;
var float: meridian is 0.0;
var float: hla is 0.0;
var float: hra is 0.0;
var integer: h is 0;
begin
write("Enter latitude: ");
readln(lat);
write("Enter longitude: ");
readln(lng);
write("Enter legal meridian: ");
readln(meridian);
writeln;
slat := sin(degreesToRadian * lat);
writeln("sine of latitude: " <& slat digits 3);
writeln("diff longitude: " <& lng - meridian digits 3);
writeln;
writeln("Hour, sun hour angle, dial hour line angle from 6am to 6pm");
for h range -6 to 6 do
hra := 15.0 * flt(h);
hra := hra - lng + meridian;
hla := radianToDegrees * atan(slat * tan(degreesToRadian * hra));
writeln("HR= " <& h lpad 2 <& "; HRA= " <& hra digits 3 lpad 7 <&
"; HLA= " <& hla digits 3 lpad 7);
end for;
end func;</syntaxhighlight>
{{out}}
<pre>Enter latitude: -4.95
Enter longitude: -150.5
Enter legal meridian: -150
sine of latitude: -0.086
diff longitude: -0.500
Hour, sun hour angle, dial hour line angle from 6am to 6pm
HR= -6; HRA= -89.500; HLA= 84.225
HR= -5; HRA= -74.500; HLA= 17.283
HR= -4; HRA= -59.500; HLA= 8.334
HR= -3; HRA= -44.500; HLA= 4.847
HR= -2; HRA= -29.500; HLA= 2.795
HR= -1; HRA= -14.500; HLA= 1.278
HR= 0; HRA= 0.500; HLA= -0.043
HR= 1; HRA= 15.500; HLA= -1.371
HR= 2; HRA= 30.500; HLA= -2.910
HR= 3; HRA= 45.500; HLA= -5.018
HR= 4; HRA= 60.500; HLA= -8.671
HR= 5; HRA= 75.500; HLA= -18.451
HR= 6; HRA= 90.500; HLA= 84.225</pre>
=={{header|Sidef}}==
{{trans|Raku}}
<syntaxhighlight lang="ruby">var latitude = read('Enter latitude => ', Number)
var longitude = read('Enter longitude => ', Number)
var meridian = read('Enter legal meridian => ', Number)
var lat_sin = latitude.deg2rad.sin
var offset = (meridian - longitude)
say('Sine of latitude: ', "%.4f" % lat_sin)
say('Longitude offset: ', offset)
say('=' * 48)
say(' Hour : Sun hour angle° : Dial hour line angle°')
for hour (-6 .. 6) {
var sun_deg = (15*hour + offset)
var line_deg = rad2deg(
atan2(
sin(deg2rad(sun_deg)) * lat_sin,
cos(deg2rad(sun_deg))
)
)
printf("%2d %s %7.3f %7.3f\n",
(hour + 12) % 12 || 12, (hour < 0 ? 'AM' : 'PM'), sun_deg, line_deg)
}</syntaxhighlight>
{{out}}
<pre>
Enter latitude => -4.95
Enter longitude => -150.5
Enter legal meridian => -150
Sine of latitude: -0.0863
Longitude offset: 0.5
================================================
Hour : Sun hour angle° : Dial hour line angle°
6 AM -89.500 84.225
7 AM -74.500 17.283
8 AM -59.500 8.334
9 AM -44.500 4.847
10 AM -29.500 2.795
11 AM -14.500 1.278
12 PM 0.500 -0.043
1 PM 15.500 -1.371
2 PM 30.500 -2.910
3 PM 45.500 -5.018
4 PM 60.500 -8.671
5 PM 75.500 -18.451
6 PM 90.500 -95.775
</pre>
=={{header|Smalltalk}}==
{{works with|GNU Smalltalk}}
<
pi := 1 arcTan * 4.
'Enter latitude: ' display. lat := stdin nextLine asNumber.
Line 888 ⟶ 3,642:
hla := (hra degreesToRadians tan * slat) arcTan radiansToDegrees.
('HR= %1; %4 HRA=%2; %4 HLA= %3' % { h. hra. hla. $<9> }) displayNl.
]</
=={{header|Tcl}}==
{{trans|ALGOL 68}}
<
fconfigure stdout -buffering none
puts -nonewline "Enter latitude => "; gets stdin lat
Line 910 ⟶ 3,664:
set hla [expr {atan($slat * tan($hra*$PI/180)) * 180/$PI}]
puts [format "HR=%+3d; HRA=%+8.3f; HLA=%+8.3f" $h $hra $hla]
}</
{{out|Sample output
<pre>
Enter latitude => -4.95
Line 934 ⟶ 3,688:
HR= +5; HRA= +75.500; HLA= -18.451
HR= +6; HRA= +90.500; HLA= +84.225
</pre>
=={{header|Wren}}==
{{trans|Go}}
{{libheader|Wren-fmt}}
<syntaxhighlight lang="wren">import "io" for Stdin, Stdout
import "./fmt" for Fmt
var getNum = Fn.new { |prompt|
while (true) {
System.write(prompt)
Stdout.flush()
var input = Stdin.readLine()
var n = Num.fromString(input)
if (n) return n
System.print("Invalid number, try again.")
}
}
var lat = getNum.call("Enter latitude : ")
var lng = getNum.call("Enter longitude : ")
var ref = getNum.call("Enter legal meridian : ")
var slat = (lat * Num.pi / 180).sin
var diff = lng - ref
System.print("\n sine of latitude : %(slat)")
System.print(" diff longitude : %(diff)")
System.print("\nHour, sun hour angle, dial hour line angle from 6am to 6pm")
for (h in -6..6) {
var hra = 15*h - diff
var s = (hra * Num.pi /180).sin
var c = (hra * Num.pi /180).cos
var hla = (slat*s).atan(c) * 180 / Num.pi
Fmt.print("$2.0f $8.3f $8.3f", h, hra, hla)
}</syntaxhighlight>
{{out}}
<pre>
Enter latitude : -4.95
Enter longitude : -150.5
Enter legal meridian : -150
sine of latitude : -0.086286365797923
diff longitude : -0.5
Hour, sun hour angle, dial hour line angle from 6am to 6pm
-6 -89.500 84.225
-5 -74.500 17.283
-4 -59.500 8.334
-3 -44.500 4.847
-2 -29.500 2.795
-1 -14.500 1.278
0 0.500 -0.043
1 15.500 -1.371
2 30.500 -2.910
3 45.500 -5.018
4 60.500 -8.671
5 75.500 -18.451
6 90.500 -95.775
</pre>
=={{header|x86 Assembly}}==
{{works with|nasm}}
{{libheader|libc}}
It must be linked with the C standard library and startup code.
<syntaxhighlight lang="asm"> global main
extern printf, scanf
Line 1,080 ⟶ 3,888:
o_ft:
db "HR= %3d; ",9," HRA=%7.3f; ",9," HLA= %7.3f", 10, 0</
=={{header|XPL0}}==
<syntaxhighlight lang="xpl0">inc c:\cxpl\codes;
def Pi = 3.14159265358979323846,
Deg2Rad = Pi/180.0,
Rad2Deg = 180.0/Pi,
Tab = $09;
real Lat, SinLat, Long, Mer;
real HA, HLA; \hour angle and hour line angle
int H, T; \hour, time
[Text(0, "Latitude: "); Lat:= RlIn(0);
Text(0, "Longitude: "); Long:= RlIn(0);
Text(0, "Legal meridian: "); Mer:= RlIn(0);
Text(0, "
Hour Sun hour angle Dial hour line angle
");
Format(4, 3);
SinLat:= Sin(Lat*Deg2Rad);
for H:= -6 to 6 do
[HA:= float(15 * H); \hour angle is 15 times the hour
HA:= HA - (Long-Mer); \ but corrected for longitude difference
HLA:= ATan2( SinLat * Sin(HA*Deg2Rad), Cos(HA*Deg2Rad) ) * Rad2Deg;
T:= H+12; if T>12 then T:= T-12;
if T<10 then ChOut(0, ^ ); IntOut(0, T);
Text(0, if H>=0 then "pm " else "am ");
RlOut(0, HA); ChOut(0, Tab); RlOut(0, HLA); CrLf(0);
];
]</syntaxhighlight>
{{out}}
<pre>
Latitude: -4.95
Longitude: -150.5
Legal meridian: -150
Hour Sun hour angle Dial hour line angle
6am -89.500 84.225
7am -74.500 17.283
8am -59.500 8.334
9am -44.500 4.847
10am -29.500 2.795
11am -14.500 1.278
12pm 0.500 -0.043
1pm 15.500 -1.371
2pm 30.500 -2.910
3pm 45.500 -5.018
4pm 60.500 -8.671
5pm 75.500 -18.451
6pm 90.500 -95.775
</pre>
=={{header|zkl}}==
{{trans|F#}}
<syntaxhighlight lang="zkl">//(degree measure)*Degrees => Radian measure
//(radian measure)/Degrees => Degree measure
const pi=(0.0).pi, toDeg=(0.0).pi/180;
latitude :=ask(0,"Enter latitude: ").toFloat();
longitude:=ask(1,"Enter longitude: ").toFloat();
meridian :=ask(2,"Enter legal meridian: ").toFloat();
sineLatitude:=(latitude * toDeg).sin();
Console.writeln();
Console.writeln("Sine of latitude: ",sineLatitude);
Console.writeln("Difference of Longitudes (given longitude - meridian): ",longitude-meridian);
Console.writeln();
println("Numbers from 6 AM to 6 PM: ");
println("Hour\t\tSun hour angle\t Dial hour line angle");
foreach hour in ([-6..6]){
clockHour:=( if(hour < 0) "%sAM".fmt(hour.abs()) else "%sPM".fmt(hour) );
shr :=15.0*hour - (longitude - meridian);
dhla :=(sineLatitude*(shr*toDeg).tan()).atan()/toDeg;
Console.writeln("%s\t\t%5.1f\t\t%+7.3f".fmt(clockHour,shr,dhla));
}</syntaxhighlight>
{{out}}
<pre>
$ zkl bbb -4.95 -150.5 -150
Sine of latitude: -0.0862864
Difference of Longitudes (given longitude - meridian): -0.5
Numbers from 6 AM to 6 PM:
Hour Sun hour angle Dial hour line angle
6AM -89.5 +84.225
5AM -74.5 +17.283
4AM -59.5 +8.334
3AM -44.5 +4.847
2AM -29.5 +2.795
1AM -14.5 +1.278
0PM 0.5 -0.043
1PM 15.5 -1.371
2PM 30.5 -2.910
3PM 45.5 -5.018
4PM 60.5 -8.671
5PM 75.5 -18.451
6PM 90.5 +84.225
</pre>
{{out}}
<pre>$ zkl bbb -4.95
Enter longitude: -150.5
Enter legal meridian: -150
<as above>
</pre>
| |||