Rails rounding decimal to the nearest power of ten - ruby-on-rails

Question

I'm looking for a rails function that could return the number to the nearest power of ten(10,100,1000), and also need to support number between 0 and 1 (0.1, 0.01, 0.001):
round(9) = 10
round(19) = 10
round(79) = 100
round(812.12) = 1000
round(0.0321) = 0.01
round(0.0921) = 0.1
I've looking on : Round number down to nearest power of ten
the accepted answer using the length of the string, that can't applied to number between 0 and 1.
updated
Round up to nearest power of 10 this one seems great. But I still can't make it work in rails.

Answer 1

I'm not sure about any function which automatically rounds the number to the nearest power of ten. You can achieve it by running the following code:
def rounded_to_nearest_power_of_ten(value)
abs_value = value.abs
power_of_ten = Math.log10(abs_value)
upper_limit = power_of_ten.ceil
lower_limit = power_of_ten.floor
nearest_value = (10**upper_limit - abs_value).abs > (10**lower_limit - abs_value).abs ? 10**lower_limit : 10**upper_limit
value > 0 ? nearest_value : -1*nearest_value
end
Hope this helps.

Answer 2

Let's simplify your problem to the following form - let the input numbers be in the range [0.1, 1), how would rounding of such numbers look like then?
The answer would be simple - for numbers smaller than 0.5 we would return the number 0.1, for larger numbers it would be 1.0.
All we have to do is to make sure that our number will be in that range. We will "move" decimal separator and remember how many moves we made in second variable. This operation is called normalization.
def normalize(fraction)
exponent = 0
while fraction < (1.0/10.0)
fraction *= 10.0
exponent -= 1
end
while fraction >= 1.0
fraction /= 10.0
exponent += 1
end
[fraction, exponent]
end
Using above code you can represent any floating number as a pair of normalized fraction and exponent in base 10. To recreate original number we will move decimal point in opposite direction using formula
original = normalized * base^{exponent}
With data property normalized we can use it in our simple rounding method like that:
def round(number)
fraction, exponent = normalize(number)
if fraction < 0.5
0.1 * 10 ** exponent
else
1.0 * 10 ** exponent
end
end

Answer 3

if the number is >= 1.0, this should work.
10 ** (num.floor.to_s.size - ( num.floor.to_s[0].to_i > 4 ? 0 : 1))

Answer 4

Try this:
def round_tenth(a)
if a.to_f >= 1
return 10 ** (a.floor.to_s.size - ( a.floor.to_s[0].to_i > 4 ? 0 : 1))
end
#a = 0.0392
c = a.to_s[2..a.to_s.length]
b = 0
c.split('').each_with_index do |s, i|
if s.to_i != 0
b = i + 1
break
end
end
arr = Array.new(100, 0)
if c[b-1].to_i > 4
b -= 1
if b == 0
return 1
end
end
arr[b-1] = 1
return ("0." + arr.join()).to_f
end

Answer 5

class Numeric
def name
def helper x, y, z
num = self.abs
r = 1
while true
result = nil
if num.between?(x, y)
if num >= y/2.0
result = y.round(r+1)
else
result = x.round(r)
end
return self.negative? ? -result : result
end
x *= z; y *= z; r += 1
end
end
if self.abs < 1
helper 0.1, 1, 0.1
else
helper 1, 10, 10
end
end
end
Example
-0.049.name # => -0.01
12.name # => 10
and so on, you are welcome!