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Offline JWinslow23

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Easter Calculator
« on: January 31, 2014, 05:08:11 pm »
Here is code in TI-BASIC to calculate the day of Easter Sunday.
Code: [Select]
ClrHome
Input "YEAR?           ",Y
int(Y/E2             //Scientific E, not the variable E
50-30fPart((11(1+19fPart(Y/19))-Ans+int(Ans/4)+int(8(Ans+11)/25))/30
Ans+7-round(7fPart((int(23(3+(Ans>31))/9)+Ans-31(Ans>31)+2+Y+int(Y/4)-int(V/E2)+int(Y/400))/7),0
If Ans=50 or Ans=49 and 10<19fPart(Y/19
Ans-1
Disp sub("MARCHAPRIL",1+5(Ans>31),5
Output(3,7,round(Ans-31(Ans>31),0
Whaddaya think? Any improvements?
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Offline ClrDraw

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Re: Easter Calculator
« Reply #1 on: January 31, 2014, 05:44:25 pm »
That's a nice segment of code. I never knew there was so much math in determining the day Easter was on  ;)
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Offline JWinslow23

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Re: Easter Calculator
« Reply #2 on: January 31, 2014, 05:45:22 pm »
Not really.

There's so much math in calculating the Paschal Full Moon.

Once that is known, then Easter is the Sunday after.
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Offline DJ Omnimaga

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Re: Easter Calculator
« Reply #3 on: January 31, 2014, 07:02:25 pm »
Wait wow, I didn't know Easter was determined like that lol. Anyway, nice :D
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Offline utz

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Re: Easter Calculator
« Reply #4 on: February 01, 2014, 11:30:18 am »
Supermarkets over here are already selling chocolate bunnies, so according to my calculations Easter is happening ... pretty damn soon enough :p
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Offline Xeda112358

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Re: Easter Calculator
« Reply #5 on: February 01, 2014, 03:00:02 pm »
I'm not getting the right dates according to Wikipedia :/

Starting in 2012, it is off by 1, before that, it's just off. I copied it to Source Coder and edited the E2 things to be the correct one.

EDIT: Also, for suggestions, sub() can be used to divide by 100, using the fPart() method to do modulo has issues with rounding error, causing it to pass unexpected results, so you should use the int() method:
Code: [Select]
X-Nint(X/N
And you will save some more bytes by computing some of the constants and using the inverse token. For example, see these two lines:
Code: [Select]
50-30fPart((11(1+19fPart(Y/19))-Ans+int(Ans/4)+int(8(Ans+11)/25))/30
50-30fPart(30{^-1}(11+209fPart(Y/19)-Ans+int(Ans/4)+int(.32(Ans+11
« Last Edit: February 01, 2014, 03:04:39 pm by Xeda112358 »
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Offline JWinslow23

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Re: Easter Calculator
« Reply #6 on: February 01, 2014, 10:11:01 pm »
OK, here's the code that should eliminate all rounding errors (unoptimized):

Code: [Select]
:int(Y/ᴇ2
:50-30fPart((11(1+19fPart(Y/19))-Ans+int(Ans/4)+int(8(Ans+11)/25))/30
:If Ans=50 or Ans=49 and 11≤19fPart(Y/19
:Ans-1
:round(Ans+7-7fPart((int(23(3+(Ans>31))/9)+Ans-31(Ans>31)+2+Y+int(Y/4)-int(Y/ᴇ2)+int(Y/400))/7),0
Optmizing soon.

Oh, and Xeda? That's what the final line's round( is for. To eliminate rounding errors.

And I tested, and the dates are correct.
« Last Edit: February 01, 2014, 10:12:22 pm by JWinslow23 »
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Offline Sorunome

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Re: Easter Calculator
« Reply #7 on: February 02, 2014, 03:42:13 am »
Quote from: DJ Omnimaga on January 31, 2014, 07:02:25 pm
Wait wow, I didn't know Easter was determined like that lol. Anyway, nice :D
I thought it was first sunday after first fullmoon after the astronomic beginning of spring ???
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Offline JWinslow23

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Re: Easter Calculator
« Reply #8 on: February 02, 2014, 12:55:35 pm »
Quote from: Sorunome on February 02, 2014, 03:42:13 am
Quote from: DJ Omnimaga on January 31, 2014, 07:02:25 pm
Wait wow, I didn't know Easter was determined like that lol. Anyway, nice :D
I thought it was first sunday after first fullmoon after the astronomic beginning of spring ???

It is.

The Paschal Full Moon is basically that. The first full moon after the astronomic beginning of spring.
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