Is there a ceiling function like in excel?
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Well, I put a few comments in it to help explain it, but not much. Here's a verbal rundown of it
I've defined a method that accepts your float number, and the 2 numbers of the fraction you want to use for tolerance. 1/64 for example, gets written as 1.0 and 64.0 So if your number to round is
0.17578125
, then you do this to round it:my_num = 0.17578125 rounded_num = precision(my_num, 1.0, 64.0)
And rounded_num gets the returned rounded value.The method does a few simple steps. First it takes your float and makes an integer version of your float and subtracts them. This is doing 23.123321 - 23 = 0.123321 Its just a way to isolate the decimal, which is all we want for comparison. Then it runs a loop, testing to see if the decimal is greater than 1/64. If its greater, then we loop again, adding 1 to the original 1, making 2. It tests if the decimal is greater than 2/64. If it is, it tries again, adding 1 to 2, making 3. It does this until it reaches a case where the decimal is smaller than the fraction. That tells us that our decimal lies between the most recent tested fraction, and the one just smaller than it. So your example of 0.17578125 lies between the fraction of 11/64 and 12/64.
Then we have to figure out to which it is closer. So I get a value for 11/64 and 12/64. Then subtract our decimal from both, return the absolute value and compare them. If it is closer to the 12/64 then it returns that. If its closer to 11/64, then it returns that.
That is sort of the convoluted answer.
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Wow! Thanks for taking the time to explain it in a Ruby's for Dummies term! No way I would of come up with a solution to that problem!
That now makes total sense... now I'm off to try and implement this in my script... should fun
Thanks again!
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my_num = 0.17578125 frac = 16.0 # 1/16th (radix, specifically) rounded_num = (my_num * frac).round / frac
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That can't be right, you didn't even have to make any special methods to do that
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This is for measurements?
One limitation within Sketchup, is that the precision is limited to 0.001", no matter what the model units are set to.
So using a fractional float of 0.1875" may get rounded by Sketchup. Will it be 0.187" or 0.188" ??
I would suggest that you decide what it will be in your 'rounding' method... -
@Chris -Been there - just passing it along.
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Here's Jim's clever solution made into a method...
def roundtofraction(num, frac) num = num.to_f frac = frac.to_f return (num * frac).round / frac end
Usage:
my_num = 0.17578125
my_frac = 16
my_num=roundtofraction(my_num, my_frac)0.1875
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@jim said:
my_num = 0.17578125 frac = 16.0 # 1/16th (radix, specifically) rounded_num = (my_num * frac).round / frac
Dude you're a genius! That is awesome!
Thank you!!
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@chris fullmer said:
That can't be right, you didn't even have to make any special methods to do that
Chris don't feel bad even after doing this thing called 'programming' for the last few weeks I'm still getting the hang of methods, classes and all that jazz!!
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@dan rathbun said:
This is for measurements?
One limitation within Sketchup, is that the precision is limited to 0.001", no matter what the model units are set to.
So using a fractional float of 0.1875" may get rounded by Sketchup. Will it be 0.187" or 0.188" ??
I would suggest that you decide what it will be in your 'rounding' method...Yes Dan, this is for measurements.
I didn't know that limitation about Sketchup, interesting. But I'm not building a plane here just cabinets, vanties and that kind of thing, but I just don't like seeing that ~ and this script programming is addictive! You just keep adding on features and stuff you can do, I think I might have a problem.
Thanks for the info
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@tig said:
Here's Jim's clever solution made into a method...
def roundtofraction(num, frac) > num = num.to_f > frac = frac.to_f > return (num * frac).round / frac > end
Usage:
my_num = 0.17578125
my_frac = 16
my_num=roundtofraction(my_num, my_frac)0.1875
Thanks yet again TIG!
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Yeah TIG, thanks for wrapping it into its own method, now it feels at least slightly over-engineered
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Anything to prolong the embarrassment
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Just a note to remind all..
... that now with Ruby in the 1.8.6 branch, we have both a
ceil()
and afloor()
method defined for theFloat
class.
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