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Attribute -> Dice Formula
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<blockquote data-quote="TheHirumaChico" data-source="post: 8005436" data-attributes="member: 7022501"><p>I threw your formula, with a minor tweak or two { <span style="color: rgb(184, 49, 47)">=TRUNC((SQRT((1+(8*Stat)))-1)/2, 0)</span> } into Excel and the results match up to the numbers shown in the attributes table on p. 17 in WOIN:NOW book. But I'm no math whiz, so I don't know by looking at this if the formula will break at some point, like at a very high number. The key change to the formula is that you need to truncate/floor, not round, the result to get the number of dice.</p><p></p><p>I'm a Java programmer, don't really know PHP, but after a quick Google search I have come up with the following:</p><p><?php</p><p><span style="color: rgb(44, 130, 201)">floor(((sqrt((1+(8*Stat))))-1)/2)</span><span style="color: rgb(204, 204, 204)">;</span></p><p>?></p><p></p><p>You can test it out here: <a href="https://www.w3schools.com/php/phptryit.asp?filename=tryphp_math_pi" target="_blank">PHP Tryit Editor v1.2</a> (just replace the "pi()" in the page with my <span style="color: rgb(44, 130, 201)">blue</span> text above, and replace "Stat" with actual numbers to test). Hope this helps.</p></blockquote><p></p>
[QUOTE="TheHirumaChico, post: 8005436, member: 7022501"] I threw your formula, with a minor tweak or two { [COLOR=rgb(184, 49, 47)]=TRUNC((SQRT((1+(8*Stat)))-1)/2, 0)[/COLOR] } into Excel and the results match up to the numbers shown in the attributes table on p. 17 in WOIN:NOW book. But I'm no math whiz, so I don't know by looking at this if the formula will break at some point, like at a very high number. The key change to the formula is that you need to truncate/floor, not round, the result to get the number of dice. I'm a Java programmer, don't really know PHP, but after a quick Google search I have come up with the following: <?php [COLOR=rgb(44, 130, 201)]floor(((sqrt((1+(8*Stat))))-1)/2)[/COLOR][COLOR=rgb(204, 204, 204)];[/COLOR] ?> You can test it out here: [URL='https://www.w3schools.com/php/phptryit.asp?filename=tryphp_math_pi']PHP Tryit Editor v1.2[/URL] (just replace the "pi()" in the page with my [COLOR=rgb(44, 130, 201)]blue[/COLOR] text above, and replace "Stat" with actual numbers to test). Hope this helps. [/QUOTE]
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