-
Notifications
You must be signed in to change notification settings - Fork 0
/
suncalc-21.elm
718 lines (507 loc) · 17.7 KB
/
suncalc-21.elm
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
module Main exposing (main)
import Browser
import Html exposing (..)
import Html.Attributes exposing (..)
import Html.Events exposing (onInput)
import String exposing (fromFloat, fromInt, toInt)
-- File saved in https://ellie-app.com/7drvTVwxKGVa1
-- and https://ellie-app.com/7drL34ytZTWa1
-- Calculates some parametres of the solar position
-- Converts Calendar date to Julian Day Number JDN
-- This code is compatible with Elm 0.19.1
-- © 2021 Jarmo Lammi
-- MAIN
main =
Browser.sandbox { init = init, update = update, view = view }
-- MODEL
type alias Model =
{ year : String
, month : String
, day : String
, hour : String
, minute : String
, second : String
, latitude : String
, longitude : String
, timezone : String
}
init : Model
init =
Model "2021" "02" "10" "10" "37" "30" "65.85" "24.18" "2"
-- UPDATE
type Msg
= Year String
| Month String
| Daynumber String
| Hour String
| Minute String
| Second String
| Latitude String
| Longitude String
| Timezone String
update : Msg -> Model -> Model
update msg model =
case msg of
Year year ->
{ model | year = year }
Month month ->
{ model | month = month }
Daynumber day ->
{ model | day = day }
Hour hour ->
{ model | hour = hour }
Minute minute ->
{ model | minute = minute }
Second second ->
{ model | second = second }
Latitude latitude ->
{ model | latitude = latitude }
Longitude longitude ->
{ model | longitude = longitude }
Timezone timezone ->
{ model | timezone = timezone }
-- Sun true anomality, OK tested 21.10.19
-- sunTrueAnom cent =
-- meanAnomalSun cent + sunEqCntr cent
sunEqCntr : Float -> Float
sunEqCntr cent =
sinDeg (meanAnomalSun cent)
* (1.914602 - cent * (0.004817 + 0.000014 * cent))
+ sinDeg (2.0 * meanAnomalSun cent)
* (0.019993 - 0.000101 * cent)
+ sinDeg (3.0 * meanAnomalSun cent)
* 0.000289
-- Eccentricy of Earth Orbit, OK tested 11.11.2019
eccentEarthOrbit cent =
0.016708634
- cent * (4.2037e-5 + 1.267e-7 * cent)
-- Mean anomality of Sun, OK tested 10.11.2019
meanAnomalSun cent =
let
a = 357.52911
b = 35999.05029
c = 1.537e-4
in
a + cent * (b + cent * c) |> decNorm360
getCentury mod =
postCent (getJDN mod) (fJD mod)
-- Mean Longitude of Sun, OK tested 10.11.2019
calcSunML cent =
let
a = 280.46646
b = 36000.76983
c = 3.032e-4
in
a + cent * (b + cent * c) |> decNorm360
-- Sun true longitude, OK tested 12.11.2019
trueLongSun : Model -> Float
trueLongSun mod =
let cent = getCentury mod
in
calcSunML cent + sunEqCntr cent
-- Sun apparent longitude, OK tested 22.10.19
appLongSun : Model -> Float
appLongSun mod =
trueLongSun mod - 5.69e-3 - 4.78e-3 * sinDeg (125.04 - 1934.136 * (getCentury mod))
-- Mean Obliquity of Ecliptic
meanObliqEclip : Model -> Float
meanObliqEclip mod =
let cent = getCentury mod
in
23.0 + (26.0 + (21.448 - cent * (46.815 + cent * (5.9e-4 - cent * 1.813e-3))) / 60.0) / 60.0
-- Corrected obliquity, OK 22.10.19
obliqCorr : Model -> Float
obliqCorr mod =
meanObliqEclip mod + 0.00256 * cosDeg (125.04 - 1934.136 * (getCentury mod))
-- Right Ascension RA, OK tested 14.11.2019
rectAsc mod =
let appLongS =
appLongSun mod
in
atan2Deg (cosDeg (obliqCorr mod) * sinDeg appLongS) (cosDeg appLongS)
-- Used in Equation of Time
variableY mod =
let x =
tanDeg (obliqCorr mod / 2.0)
in
x * x
-- Equation of Time, OK tested 15.11.2019
equatTime mod =
let cent = getCentury mod
varY = variableY mod
meanLongS = calcSunML cent
eOrbitEx = eccentEarthOrbit cent
meanAnomS = meanAnomalSun cent
in
toDeg (varY
* sinDeg (2.0 * meanLongS)
- 2.0 * eOrbitEx
* sinDeg meanAnomS
+ 4.0 * eOrbitEx * varY
* sinDeg meanAnomS
* cosDeg (2.0 * meanLongS)
- 0.5 * varY * varY
* sinDeg (4.0 * meanLongS)
- 1.25 * eOrbitEx * eOrbitEx
* sinDeg (2.0 * meanAnomS)
) * 4.0
-- HA of Sunrise hourangle, OK tested 15.11.2019
srHA mod zenith =
let geoLat = (getDecVar mod.latitude)
declination = sunDeclination mod
x =
(cosDeg zenith
/ (cosDeg geoLat * cosDeg declination)
- (tanDeg geoLat * tanDeg declination)
)
in
if x > 0.99999 && declination < 0.00 then 0.00
else if x < -0.99999 && declination > 0.00 then 180.0
else acosDeg (x)
getHA mod =
srHA mod 90.833
-- Civil twilight Sunrise HA
getCivTwHA mod =
srHA mod 96.0
-- Noon time as minutes since midnight
-- OK tested 01.11.2019
getNoon mod =
let
geoLong = getDecVar mod.longitude
timeZone = getDecVar mod.timezone
eqTime = equatTime mod
in
(720.0 - 4.0 * geoLong) - eqTime + timeZone * 60
-- Sunrise in minutes, option = -1
sunRise mod = risetMns mod -1
-- Sunset in minutes, option = +1
sunSet mod = risetMns mod 1
risetMns mod rsOption =
getNoon mod + 4.0 * rsOption * getHA mod
-- Civil Twilight minutes since midnight
civTwlMns mod rsOption =
getNoon mod + 4 * rsOption * getCivTwHA mod
-- Converts minutes to hh:mn:ss
-- Fixed seconds 25.1.2020
mnToHrMn : Float -> String
mnToHrMn mns =
let
lmins = remainderBy 60 (floor mns)
lhrs = floor ( mns / 60.0 )
lsec = floor (60*mns - toFloat(3600*lhrs + 60*lmins ))
in
zeroFill lhrs
++ ":"
++ zeroFill lmins
++ ":"
++ zeroFill lsec
-- Daylength as hours
getDayLength mod =
getHA mod / 7.5
-- Sun Declination, OK tested 24.10.2019
sunDeclination mod =
asinDeg (sinDeg (obliqCorr mod) * sinDeg (appLongSun mod))
-- True Solar Time, OK tested 17.11.2019
trueSolTime mod =
let
hr = getDecVar mod.hour
mn = getDecVar mod.minute
sc = getDecVar mod.second
tz = getDecVar mod.timezone
e2 = 60.0*( hr + tz ) + mn + sc/60.0
v2 = equatTime mod
b4 = getDecVar mod.longitude
in
e2 + v2 + 4.0 * b4 - 60.0 * tz
-- Hour Angle degr. OK tested 17.11.2019
hourAngle mod =
let
tSt = trueSolTime mod
in
if tSt > 0.0 then 0.25 * tSt - 180.0
else 0.25 * tSt + 180.0
-- Solar Zenith (degrees)
solZenith mod =
let
b3 = getDecVar mod.latitude
t2 = sunDeclination mod
in
acosDeg(sinDeg(b3)*sinDeg(t2) + cosDeg(b3)*cosDeg(t2)*cosDeg(hourAngle mod))
-- Solar Azimuth angle clockwise from north, OK tested 19.11.2019
preAzimuth mod =
let b3 = getDecVar mod.latitude
ad = solZenith mod
t = sunDeclination mod
in
acosDeg ((sinDeg(b3)*cosDeg(ad) - sinDeg(t))/(cosDeg(b3)*sinDeg(ad)))
solAzimuth mod =
let preAz = preAzimuth mod
ac = hourAngle mod
in
if ac > 0.0 then preAz + 180.0 |> decNorm360
else 540.0 - preAz |> decNorm360
-- Atmospheric Refraction
atmosRefract mod =
let solElev = 90.0 - (solZenith mod)
in
if solElev > 85.0 then 0.0
else if solElev > 5.0 then (58.1/tanDeg(solElev)
- 0.07 / tanDeg(solElev) ^3
+ 8.6e-5 / tanDeg(solElev) ^5 ) / 3600.0
else if solElev > -0.575 then
(1735.0 + solElev*(-518.2
+ solElev*(103.4 + solElev*(-12.79 + solElev*0.711)))) / 3600.0
else -20.772/tanDeg(solElev) / 3600.0
refractCorrectAltitude mod =
90.0 - (solZenith mod)
+ (atmosRefract mod)
-- VIEW
view : Model -> Html Msg
view model =
div [ style "margin-left" "10%", style "margin-right" "20%" ]
[ h1 [] [ text "Sun Position Calculator" ]
, span [ style "background-color" "blue", style "color" "white" ]
[ text " Year "
, viewInput "number" "Give year" model.year Year
, text " Month "
, viewInput "number" "Month" model.month Month
, text " Day "
, viewInput "number" "Day" model.day Daynumber
, text " Hours UTC "
, viewInput "number" "Hour" model.hour Hour
, text " Minutes "
, viewInput "number" "Minute" model.minute Minute
, text " Seconds "
, viewInput "number" "Second" model.second Second
, h2 [ style "color" "black" ] [ text "Location " ]
, text " Latitude "
, viewInput "text" "Latitude" model.latitude Latitude
, text " Longitude "
, viewInput "text" "Longitude" model.longitude Longitude
, text " Timezone "
, viewInput "number" "Timezone" model.timezone Timezone
, viewValidation model
, viewResults model
, viewJD model
, viewDeclination model
, viewFooter model
]
]
viewInput : String -> String -> String -> (String -> msg) -> Html msg
viewInput t p v toMsg =
input [ type_ t, placeholder p, value v, style "width" "45px", onInput toMsg ] []
viewValidation : Model -> Html msg
viewValidation model =
if
getInputValue model.month
> 0
&& getInputValue model.month
< 13
&& getInputValue model.day
> 0
&& getInputValue model.day
< 32
then
div [ style "color" "blue" ] [ text "Date entry OK" ]
else
div [ style "color" "red" ] [ text "Incorrect month or day" ]
viewResults : Model -> Html msg
viewResults model =
div [ style "color" "orange", style "background-color" "black" ]
[ h2 [] [ text "DATE AND LOCATION USED BELOW" ]
, p []
[ text
("Year "
++ model.year
++ ", month "
++ model.month
++ " and day "
++ model.day
)
]
, p [] [ text (" Hours UTC " ++ model.hour
++ " Minutes " ++ model.minute
++ " Seconds " ++ model.second) ]
, p []
[ text
(" Latitude "
++ model.latitude
++ "° Longitude "
++ model.longitude
++ "° Timezone "
++ model.timezone
++ " h"
)
]
]
viewJD : Model -> Html msg
viewJD model =
div [ style "color" "red", style "background-color" "lightblue" ]
[ p [] [ text ("JDN " ++ fromInt (getJDN model)) ]
, text (" JD = " ++ cutDec6 (preCent (getJDN model) (fJD model)))
, text (" Century = " ++ String.fromFloat (getCentury model))
-- , p [] [ text (" Sun Mean Long = " ++ fromFloat (calcSunML (getCentury model))) ]
-- , p [] [ text (" Sun Mean Anomality = " ++ fromFloat (meanAnomalSun (getCentury model))) ]
-- , p [] [ text (" Eccentricity of Earth Orbit = " ++ fromFloat (eccentEarthOrbit (getCentury model))) ]
-- , p [] [ text (" Mean and True Anomality Difference = " ++ fromFloat (sunEqCntr (getCentury model))) ]
-- , p [] [ text (" Sun True Anomality = " ++ fromFloat (sunTrueAnom (getCentury model))) ]
-- , p [] [ text (" Apparent Longitude of Sun = " ++ fromFloat (appLongSun model)) ]
-- , p [] [ text (" Mean Obliquity of Ecliptic = " ++ fromFloat (meanObliqEclip model)) ]
-- , p [] [ text (" Corrected Obliquity = " ++ fromFloat (obliqCorr model)) ]
, p [] [ text (" Right Ascension = " ++ cutDec6 (rectAsc model)) ]
-- , p [] [ text (" Variable Y = " ++ cutDec6 (variableY model)) ]
, p [] [ text (" Equation of Time = " ++ cutDec6 (equatTime model)) ]
, p [] [ text (" Sunrise HA = " ++ cutDec6 (getHA model)) ]
, p [] [ text (" Sunrise Civil Twilight HA = " ++ cutDec6 (getCivTwHA model)) ]
, p [] [ text (" True Solar Time = " ++ cutDec6 (trueSolTime model)) ]
, p [] [ text (" Hour Angle = " ++ cutDec6 (hourAngle model)) ]
, p [] [ text (" Solar Zenith = " ++ cutDec6 (solZenith model)) ]
]
viewDeclination : Model -> Html msg
viewDeclination model =
div [ style "color" "red", style "font-size" "1.4em" ]
[ p [] [ text (" Sun Declination = " ++ (cutDec6 (sunDeclination model)) ++ "°")]
, p [] [ text (" Day Length = " ++ formTime (getDayLength model)) ]
, p [] [ text (" Civil Twilight = " ++ mnToHrMn (civTwlMns model -1) ++ locTZ model) ]
, p [] [ text (morningToNoon model) ]
, p [] [ text (" Noon Time = " ++ mnToHrMn (getNoon model) ++ locTZ model) ]
, p [] [ text (noonToEvening model) ]
, p [] [ text (" Civil Twilight = " ++ mnToHrMn (civTwlMns model 1) ++ locTZ model) ]
, p [] [ text (" Solar Azimuth = " ++ (cutDec4 (solAzimuth model )) ++ "°")]
, p [] [ text (" Air refraction = " ++ (cutDec4 (atmosRefract model )) ++ "°")]
, p [] [ text (" Sun Altitude = " ++ (cutDec4 (90.0 - (solZenith model)))
++ "° without air-refraction") ]
, p [] [ text (" Sun Altitude = " ++ (cutDec4 ( refractCorrectAltitude model))
++ "° Corrected with air-refraction") ]
]
morningToNoon mod =
let a1 = " Sunrise Time = " ++ (mnToHrMn (sunRise mod)) ++ locTZ mod
a2 = " Arctic winter, no sunrise"
a3 = " Arctic summer, no sunset"
a4 = " Antarctic midsummer, no sunset"
a0 = " Daylength Exception: "
geoLat = (getDecVar mod.latitude)
declination = sunDeclination mod
dayLength = getDayLength mod
in
if declination < 0.0 && geoLat > ( 90.83 + declination ) then a2
else if declination < 0.0 && geoLat < ( -89.17 - declination ) then a4
else if declination > 0.0 && geoLat > ( 89.17 - declination ) then a3
else if dayLength > 0.00 && dayLength < 24.0 then a1
else a0 ++ String.fromFloat dayLength
noonToEvening mod =
let a1 = " Sunset Time = " ++ mnToHrMn (sunSet mod) ++ locTZ mod
a2 = " Arctic winter, no Sunrise"
a3 = " Polar summer, no sunset"
a4 = " No Sunset, Summer in Antarctis"
geoLat = (getDecVar mod.latitude)
declination = sunDeclination mod
in
if declination < 0.0 && geoLat > (90.8 + declination) then a2
else if declination < 0.0 && geoLat < -89.2 - declination then a4
else if declination > 0.0 && geoLat > (89.2 - declination) then a3
else a1
viewFooter : Model -> Html msg
viewFooter model =
div [ style "color" "black", style "font-size" "1.0em" ]
[ p [ style "margin-right" "50%" ]
[ text
"""
This programm contains the basic functions
to be used in calculation of solar positions,
Sunrise and Sunset times for the given
geographic location, date and time.
"""
]
, p [ style "color" "blue" ]
[ text "The code is written in Elm-programming language version 0.19.0" ]
, p [] [ text "© J. Lammi 2019 - 2021" ]
]
locTZ mod =
" UTC +" ++ mod.timezone ++ " h local time"
-- Help functions
toRad =
\alfa -> pi * alfa / 180.0
-- coversion degrees to radians
toDeg =
\beta -> 180.0 * beta / pi
-- conversion radians to degrees
cosDeg alfa =
cos (toRad alfa)
tanDeg alfa =
tan (toRad alfa)
sinDeg alfa =
sin (toRad alfa)
asinDeg =
\x -> toDeg (asin x)
-- acosDeg =
-- \x -> toDeg (acos x)
-- This will never be NaN:
acosDeg z =
if z > 1.0 then 0.0
else if z < -1.0 then 180.0
else acos z |> toDeg
atan2Deg =
\x y -> toDeg (atan2 x y)
decNorm360 =
\arg -> toFloat (remainderBy 360 (floor arg)) + frac arg
frac x =
x - toFloat (floor x)
-- Determine Julian day from calendar date
getJDN mod =
jdn (gI mod.year) (gI mod.month) (gI mod.day)
preCent xJDN yJD =
toFloat xJDN + yJD
postCent xJDN yJD =
(toFloat (xJDN - 2451545) + yJD) / 36525.0
fJD mod =
( toFloat (gI mod.hour) - 12.0
+ toFloat (gI mod.minute) / 60.0
+ toFloat (gI mod.second) / 3600.0)
/ 24.0
gI element =
Maybe.withDefault 0 (toInt element)
jdn y m d =
let w = (m - 14) // 12
t = y + 4800 + w
u = m - 2 - 12 * w
v = (y + 4900 + w) // 100
in
(1461 * t) // 4
+ (367 * u) // 12
- (3 * v) // 4
+ d - 32075
getDecVar x =
Maybe.withDefault 0 (String.toFloat x)
getInputValue laji =
Maybe.withDefault 0 (toInt laji)
formTime x =
let
hrs =
floor x
mns =
(60 * (x - toFloat hrs)) |> floor
sec =
60 * ((60 * (x - toFloat hrs)) - toFloat mns) |> round
in
zeroFill hrs ++ ":" ++ zeroFill mns ++ ":" ++ zeroFill sec
zeroFill x =
if x < 10 then
"0" ++ String.fromInt x
else
String.fromInt x
-- Cut to six decimals format of Float-numbers
cutDecNum : Float -> Int -> String
cutDecNum nr ndecim =
let
snr = String.fromFloat nr
dotIndex = String.indices "." snr
dotNr = Maybe.withDefault 0 (List.minimum dotIndex)
decNrLength = String.length snr
decimPart = String.slice dotNr decNrLength snr
cutTo6 = String.left ndecim decimPart
intPart = String.left dotNr snr
in
intPart ++ cutTo6
cutDec6 nr = cutDecNum nr 7
cutDec4 nr = cutDecNum nr 5