Talk:Augmenter Tweaking - Revision history

Simon at 13:38, 1 September 2010

2010-09-01T13:38:45Z

Simon at 02:06, 15 August 2010

2010-08-15T02:06:26Z

Simon at 05:55, 14 August 2010

2010-08-14T05:55:34Z

Simon at 01:39, 13 August 2010

2010-08-13T01:39:41Z

Simon: New page: $\bigg(1+\mbox{posaug1}\left(1+.04\mbox{AT}\right)+\mbox{posaug2}\left(1+.04\mbox{AT}\right)\bigg)\cfrac{1}{1 + \left( \cfrac{1}{1 +\mbox{negaug1} } -1 \right)\left(1+.04*\mbox{...$

2010-05-15T18:00:26Z

New page: <math>\bigg(1+\mbox{posaug1}*\left(1+.04*\mbox{AT}\right)+\mbox{posaug2}*\left(1+.04*\mbox{AT}\right)\bigg)*\cfrac{1}{1 + \left( \cfrac{1}{1 +\mbox{negaug1} } -1 \right)*\left(1+.04*\mbox{...

New page

<math>\bigg(1+\mbox{posaug1}*\left(1+.04*\mbox{AT}\right)+\mbox{posaug2}*\left(1+.04*\mbox{AT}\right)\bigg)*\cfrac{1}{1 + \left( \cfrac{1}{1 +\mbox{negaug1} } -1 \right)*\left(1+.04*\mbox{AT}\right)+ \left( \cfrac{1}{1 +\mbox{negaug2} } -1 \right)*\left(1+.04*\mbox{AT}\right)}</math>

← Older revision		Revision as of 13:38, 1 September 2010
Line 33:		Line 33:
	else		else
	factor += 1.0;		factor += 1.0;
		+
		+
		+	Simon's Explanation:
		+
		+	okay full augmenter calculation formula.
		+
		+	starting with a postive aug +25% = .25 and a negative aug -33% = -.33
		+
		+	we will convert these to based around 1 numbers by simply adding 1, so .25 becomes 1.25 and -.33 becomes .67. But first we need to use the AT formula
		+
		+	AT on positive aug is 1+(posaug(1+.04ATlevel+.02*ITlevel))
		+	which becomes 1+(.25*(1+1+.02))
		+
		+	so that only the augmenter portion gets tweaked, not the 100% base stat which is the 1 in the equation. this gets us 1.505 with AT25 and IT1 or +50.5%.
		+
		+	AT on a negative aug is (1+negaug)/(1-(negaug(.04AT+.02*IT)))
		+	which becomes (1-.33)/(1-(-.33*(1+.02)))
		+
		+	which is basically reducing the factor of .67 by the tweaking factor to give us 0.501271884 with AT25 and IT1 or -49.87%.
		+
		+	now to combine augmenters we have to convert to a system centered around 0 instead of the one centered around 1 that we have been using.
		+
		+	starting with our tweaked values of 1.505 and .501 we are going to treat positive and negative augs differerently. For positive augs, or augs with a
		+	factor greater than 1, we simply subtract 1. For negative augs, or augs with a factor less than 1, we have to use the following formula.
		+
		+	negative0basenumber = (-1/negative1basenumber) +1
		+	or in our case (-1/.501) +1
		+
		+	which gives us -0.994925373
		+
		+	and as a reminder the positive formula is simply:
		+	positive0basenumber = positive1basenumber - 1
		+	or in our case 1.505-1=.505
		+
		+	now we add up all of our base 0 numbers, in our case giving -0.994925373) + .505 = -0.489925373
		+
		+	and convert back to base 1 numbers again using different rules for positive and negative sums.
		+
		+	for positive sums you just add the 1 back on. In our case we have a negative sum so we need to use the negative formula:
		+
		+	negative1basenumber = -1/(negative0basenumber -1)
		+
		+	which gives in our case:
		+	negative1basenumber = -1/(-0.489925373 -1)
		+	negative1basenumber = 0.671174556
		+
		+	which, by subtracting 1, equates to aprox. a -33% stat.

← Older revision		Revision as of 02:06, 15 August 2010
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	<math>\bigg(1+\mbox{posaug1}\left(1+.04\mbox{AT}\right)+\mbox{posaug2}\left(1+.04\mbox{AT}\right)\bigg)\cfrac{1}{1 + \left( \cfrac{1}{1 +\mbox{negaug1} } -1 \right)\left(1+.04\mbox{AT}\right)+ \left( \cfrac{1}{1 +\mbox{negaug2} } -1 \right)\left(1+.04*\mbox{AT}\right)}</math>		<math>\bigg(1+\mbox{posaug1}\left(1+.04\mbox{AT}\right)+\mbox{posaug2}\left(1+.04\mbox{AT}\right)\bigg)\cfrac{1}{1 + \left( \cfrac{1}{1 +\mbox{negaug1} } -1 \right)\left(1+.04\mbox{AT}\right)+ \left( \cfrac{1}{1 +\mbox{negaug2} } -1 \right)\left(1+.04*\mbox{AT}\right)}</math>

		+
		+	above formula is incorrect.

	if the aug says +40% then posaug1 is .4<br>		if the aug says +40% then posaug1 is .4<br>

← Older revision		Revision as of 05:55, 14 August 2010
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	if the aug says +40% then posaug1 is .4<br>		if the aug says +40% then posaug1 is .4<br>
	if the aug says -40% then negaug1 is -.4		if the aug says -40% then negaug1 is -.4
		+
		+
		+	from HAL's:
		+
		+	Ok I'll explain it the best I can.
		+
		+	Let us say we have our stats start out at 0. Now if you have a +100% (x2) bonus, you will get +1. If you have a +200% (x3) bonus it is +2.
		+
		+	The direct opposite of a +100% bonus would be a -50%, which is -1. Therefore it stands to reason that the direct opposite of a +200% bonus would be -2, which works out to -66% when you invert it back (which if you multiply out by x3 evens out exactly).
		+
		+	Here is the code we get when initially applying the bonuses to find a number relative to zero. The bonus is a number relative to 1, so for example -50% would be 0.5, +30% would be 1.3, etc.
		+
		+
		+	if (bonus > 1.0)
		+	factor += bonus - 1.0;
		+	else
		+	factor += (-1 / bonus) + 1;
		+
		+
		+
		+	Here is the formula for reverting back to a number relative to 1 so that it can be easily multiplied out by the rest of your ship stats.
		+
		+
		+	if (factor < 0.0)
		+	factor = (-1 / (factor - 1));
		+	else
		+	factor += 1.0;