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IRC Nickname: Matt|Georgio9
Group: Emeritus
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Ok, so something is totally frigged up but I can't figure out what. I'm programming a Taylor series to calculate the value of Pi using the Liebniz formula.

user posted image

Ok so that's not that hard to program in java. But I'm having problems getting the code to stop running. I end up with it just oscillating between 2 numbers for forever.

CODE

// Uses the Leibniz formula for pi with floats
public static float slowPiCalculator()
{
float Pi = 0; // Sum total
float PreviousSum; // Sum of the term (count - 1)
float SummationValue = 0; // calculated value to add onto Pi

do{
/* Determine if the numerator of the summation value is postive
* or negative. Then divide the numerator by two times the
* value of the counter plus 1
*/
PreviousSum = Pi;

SummationValue = (float)(Math.pow((-1.0), (float)count));
SummationValue = SummationValue / (float) (2 * (float)count +1);

Pi += SummationValue; // Add onto the sum of what becomes Pi
System.out.println("Counter: " + count + "\tSummationValue" + SummationValue + "\tPi: " + Pi);
count++;

}while(PreviousSum != Pi);

Pi = Pi * 4; //Multiply by 4 to complete the summation.

return Pi;
}

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IRC Nickname: leecable
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Joined: April 1, 2008
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Is Pi not an infinite number?

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IRC Nickname: Kiwi011
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QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

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IRC Nickname: Woolachee
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the record of most digits calculated is 206,158,430,000 digits...

if that helps at all.

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IRC Nickname: Matt|Georgio9
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I need it to stop summing once the term for Pi at count n is the same as the term for Pi at term (n -1).

So basically, when i start going outside the precision of a floating point.

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IRC Nickname: leecable
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QUOTE (Kiwi011 @ October 13, 2008 02:47 pm)

QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

Your obviously not at that 'higher' level you talk about. Because I was 10 when i was taught that Pi is infinite. Pi is an irrational number. Irrational numbers are numbers that do not terminate or repeat when written out as a decimal.

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IRC Nickname: Samurai-JM
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QUOTE (leecable @ October 13, 2008 03:25 pm)

QUOTE (Kiwi011 @ October 13, 2008 02:47 pm)

QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

Your obviously not at that 'higher' level you talk about. Because I was 10 when i was taught that Pi is infinite. Pi is an irrational number. Irrational numbers are numbers that do not terminate or repeat when written out as a decimal.

lol, useless like finding stuff about circles? ever take a manufacturing or engineering class? try making a building without circular columns lol.

disregard that, 22/7 isn't equal to pi. pi is irrational. want me to post the first 100,000 places to prove it?

how bout the first 10 million?

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IRC Nickname: Kiwi011
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QUOTE (leecable @ October 13, 2008 08:25 pm)

QUOTE (Kiwi011 @ October 13, 2008 02:47 pm)

QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

Your obviously not at that 'higher' level you talk about. Because I was 10 when i was taught that Pi is infinite. Pi is an irrational number. Irrational numbers are numbers that do not terminate or repeat when written out as a decimal.

Actually I feel somewhat stupid now.

I think I remember doing a proof way back in precalc or geometry with it and I found a way to make pi end.......

I think its like the .9999999999999 repeating really is 1 if you proof it...... idk maybe im wrong....

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IRC Nickname: Matt|Georgio9
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Joined: January 3, 2008
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QUOTE (Kiwi011 @ October 14, 2008 09:58 pm)

QUOTE (leecable @ October 13, 2008 08:25 pm)

QUOTE (Kiwi011 @ October 13, 2008 02:47 pm)

QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

Your obviously not at that 'higher' level you talk about. Because I was 10 when i was taught that Pi is infinite. Pi is an irrational number. Irrational numbers are numbers that do not terminate or repeat when written out as a decimal.

Actually I feel somewhat stupid now.

I think I remember doing a proof way back in precalc or geometry with it and I found a way to make pi end.......

I think its like the .9999999999999 repeating really is 1 if you proof it...... idk maybe im wrong....

Pi does not terminate. No super computer has been able to compute its end and I have never seen a proof which shows the termination of Pi. There is no way you'd do that in precalc.

I'm in second year university for engineering and you will learn that Pi shows up in all sorts of places and about how messed up the value of Pi really is.

For example....this assumes that you know what complex numbers are.

Well on a normal Real numbers plane, if you add 2Pi or 2kPi where k is an integer value, onto any angle on the plane, you will end up at the same spot.

However, on a complex plane, if you add 2kPi to an angle, you will end up on a totally different plane than where you started.

But thats more of a complex numbers example than a Pi example but its still very cool/messed up at the same time.

Oh ya,

e^iPi = -1

Can remember the proof but its true.

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IRC Nickname: Kiwi011
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QUOTE (Georgio9 @ October 15, 2008 01:58 am)

QUOTE (Kiwi011 @ October 14, 2008 09:58 pm)

QUOTE (leecable @ October 13, 2008 08:25 pm)

QUOTE (Kiwi011 @ October 13, 2008 02:47 pm)

QUOTE (leecable @ October 13, 2008 07:08 pm)

Is Pi not an infinite number?

no it ends.....its just such a small decimal that we only use 3.14 and finding it is useless in all maths until you reach a higher level....

Your obviously not at that 'higher' level you talk about. Because I was 10 when i was taught that Pi is infinite. Pi is an irrational number. Irrational numbers are numbers that do not terminate or repeat when written out as a decimal.

Actually I feel somewhat stupid now.

I think I remember doing a proof way back in precalc or geometry with it and I found a way to make pi end.......

I think its like the .9999999999999 repeating really is 1 if you proof it...... idk maybe im wrong....

Pi does not terminate. No super computer has been able to compute its end and I have never seen a proof which shows the termination of Pi. There is no way you'd do that in precalc.

I'm in second year university for engineering and you will learn that Pi shows up in all sorts of places and about how messed up the value of Pi really is.

For example....this assumes that you know what complex numbers are.

Well on a normal Real numbers plane, if you add 2Pi or 2kPi where k is an integer value, onto any angle on the plane, you will end up at the same spot.

However, on a complex plane, if you add 2kPi to an angle, you will end up on a totally different plane than where you started.

But thats more of a complex numbers example than a Pi example but its still very cool/messed up at the same time.

Oh ya,

e^iPi = -1

Can remember the proof but its true.

yea the last thing you said what I was talking about i think.

If only I payed more attention in math lul.

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IRC Nickname: Matt|Georgio9
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Lol k.

On another note i solved my problem. Turns out I wasn't getting the full effect of number truncation so what I did was I casted the value to a float at the very end of the calculation.

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