i have a problem in python3
my variable is
i = 31.807
I would transform in this:
i = 31.80
with two numbers after the decimal point and without round even show 0 in end.
Question: how do I round a float in Python to the desired decimal digit?
You can use numpy.round and supply the value to round and the number of significant digits, i.e.
import numpy as np
i = np.round(31.807, 2)
print(i)
the output is going to be 31.81, which differs from you example.
Question: how do I ceil/floor to the desired decimal digit?
Unfortunately numpy.ceil and numpy.floor do not allow for that, so you need to be a bit more crafy:
import numpy as np
i = np.floor(31.807*100)/100
print(i)
the output is now 31.8.
Question: how do I print a number in a specific format?
Here there is no single write way to go, one possibility is:
print("{:.2f}".format(31.8))
Output: 31.80.
I think the solution from this question here: stackoverflow.com/a/37697840/5273907 would solve your problem i.e.:
import math
def truncate(number, digits) -> float:
stepper = 10.0 ** digits
return math.trunc(stepper * number) / stepper
When I test it locally with your example I get:
>>> truncate(31.807, 2)
31.8
Related
I'm looking for a way to neatly show rounded floats of varying decimal lengh.
Example of what I'm looking for:
In: 0.0000000071234%
Out: 0.0000000071%
In: 0.00061231999999%
Out: 0.0061%
In: 0.149999999%
Out: 0.15%
One way to do it would be:
def dynamic_round(num):
zeros = 2
original = num
while num< 0.1:
num*= 10
zeros += 1
return round(original, zeros)
I'm sure however there is a much cleaner way to do the same thing.
Here's a way to do it without a loop:
a = 0.003123
log10 = -int(math.log10(a))
res = round(a, log10+2)
==> 0.0031
This post answers your question with a similar logic
How can I format a decimal to always show 2 decimal places?
but just to clarify
One way would be to use round() function also mentioned in the documentation
built-in functions: round()
>>> round(number[,digits])
here digit refers to the precision after decimal point and is optional as well.
Alternatively, you can also use new format specifications
>>> from math import pi # pi ~ 3.141592653589793
>>> '{0:.2f}'.format(pi)
'3.14'
here the number next to f tells the precision and f refers to float.
Another way to go here is to import numpy
>>>import numpy
>>>a=0.0000327123
>>>res=-int(numpy.log10(a))
>>>round(a,res+2)
>>>0.000033
numpy.log() also, takes an array as an argument, so if you have multiple values you can iterate through the array.
I've been searching around for hours and I can't find a simple way of accomplishing the following.
Value 1 = 0.00531
Value 2 = 0.051959
Value 3 = 0.0067123
I want to increment each value by its smallest decimal point (however, the number must maintain the exact number of decimal points as it started with and the number of decimals varies with each value, hence my trouble).
Value 1 should be: 0.00532
Value 2 should be: 0.051960
Value 3 should be: 0.0067124
Does anyone know of a simple way of accomplishing the above in a function that can still handle any number of decimals?
Thanks.
Have you looked at the standard module decimal?
It circumvents the floating point behaviour.
Just to illustrate what can be done.
import decimal
my_number = '0.00531'
mnd = decimal.Decimal(my_number)
print(mnd)
mnt = mnd.as_tuple()
print(mnt)
mnt_digit_new = mnt.digits[:-1] + (mnt.digits[-1]+1,)
dec_incr = decimal.DecimalTuple(mnt.sign, mnt_digit_new, mnt.exponent)
print(dec_incr)
incremented = decimal.Decimal(dec_incr)
print(incremented)
prints
0.00531
DecimalTuple(sign=0, digits=(5, 3, 1), exponent=-5)
DecimalTuple(sign=0, digits=(5, 3, 2), exponent=-5)
0.00532
or a full version (after edit also carries any digit, so it also works on '0.199')...
from decimal import Decimal, getcontext
def add_one_at_last_digit(input_string):
dec = Decimal(input_string)
getcontext().prec = len(dec.as_tuple().digits)
return dec.next_plus()
for i in ('0.00531', '0.051959', '0.0067123', '1', '0.05199'):
print(add_one_at_last_digit(i))
that prints
0.00532
0.051960
0.0067124
2
0.05200
As the other commenters have noted: You should not operate with floats because a given number 0.1234 is converted into an internal representation and you cannot further process it the way you want. This is deliberately vaguely formulated. Floating points is a subject for itself. This article explains the topic very well and is a good primer on the topic.
That said, what you could do instead is to have the input as strings (e.g. do not convert it to float when reading from input). Then you could do this:
from decimal import Decimal
def add_one(v):
after_comma = Decimal(v).as_tuple()[-1]*-1
add = Decimal(1) / Decimal(10**after_comma)
return Decimal(v) + add
if __name__ == '__main__':
print(add_one("0.00531"))
print(add_one("0.051959"))
print(add_one("0.0067123"))
print(add_one("1"))
This prints
0.00532
0.051960
0.0067124
2
Update:
If you need to operate on floats, you could try to use a fuzzy logic to come to a close presentation. decimal offers a normalize function which lets you downgrade the precision of the decimal representation so that it matches the original number:
from decimal import Decimal, Context
def add_one_float(v):
v_normalized = Decimal(v).normalize(Context(prec=16))
after_comma = v_normalized.as_tuple()[-1]*-1
add = Decimal(1) / Decimal(10**after_comma)
return Decimal(v_normalized) + add
But please note that the precision of 16 is purely experimental, you need to play with it to see if it yields the desired results. If you need correct results, you cannot take this path.
I am trying to write a function to round a floating point number up to n decimal places. The function can take one or two arguments. If there is only one argument the number should be rounded to two decimal places.
This is where I have gotten so far:
def roundno(num,point=2):
import math
x=1*(math.pow(10,-point))
round=0
while (num>x):
while(num>0):
round+=num/10
num=num/10
round*=10
round+=num/10
num=num/10
round*=0.1
return round
I am getting infinity as the output, every time... Where did I go wrong?
I can't see how your algorithm is supposed to round numbers. I guess a similar strategy could work, but you'd need a subtraction in there somewhere...
One way to do this would be to convert the argument to a string, adjust the number of digits after the decimal point, and then convert the string back to a float, but I suspect that your teacher would not like that solution. :)
Here's a simple way to do rounding arithmetically:
def roundno(num, point=2):
scale = 10.0 ** point
return int(num * scale) / scale
data = [123, 12.34, 1.234, 9.8765, 98.76543]
for n in data:
print n, roundno(n), roundno(n, 3)
output
123 123.0 123.0
12.34 12.34 12.34
1.234 1.23 1.234
9.8765 9.87 9.876
98.76543 98.76 98.765
This simply drops unwanted digits, but it's not hard to modify it to round up or off (your question isn't clear on exactly what type of rounding you want).
Note that this function doesn't check the point argument. It really should check that it's a non-negative integer and raise ValueError with an appropriate error message otherwise.
Looking to format a output to show a very small number..
a= 6500
b= 3600
c=.000900
d= int((b/a)-c)
print d
Answer comes out to be zero, but looking for the .###### numbers after the .
sorry try this
Looks like you got bitten by integer division in python 2.x.
>>> a= 6500
>>> b= 3600
>>> c=.000900
>>> from __future__ import division
>>> print b/a - c
0.552946153846
There may be two issues with your calculation:
If you're using Python 2, division using / between two integers will always be an integer also. This will discard the fractional part of the calculation, which can be unexpected. One fix for this is to force one of the values to be a float value (e.g. float(b)/a). An alternative is to put at the top of your file from __future__ import division, which tells Python to use the Python 3 semantics for division (you'll only get an integer from integer division if the result is an exact integer).
The second issue seems to be about formatting a floating point value. First you seem to want only the fractional part of the value (not the integer part). Usually the best option is to simply subtract the integer part of the value:
d = someFloatingPointValue()
d_frac = d - int(d)
Next, to get a string to output (where you want several decimal places, but not a huge number of them), you probably want to explore Python's string formatting operations:
d = someFloatingPointValue()
d_to4decimalPlaces = "{:.4f}".format(d)
How do I get a random decimal.Decimal instance? It appears that the random module only returns floats which are a pita to convert to Decimals.
What's "a random decimal"? Decimals have arbitrary precision, so generating a number with as much randomness as you can hold in a Decimal would take the entire memory of your machine to store.
You have to know how many decimal digits of precision you want in your random number, at which point it's easy to just grab an random integer and divide it. For example if you want two digits above the point and two digits in the fraction (see randrange here):
decimal.Decimal(random.randrange(10000))/100
From the standard library reference :
To create a Decimal from a float, first convert it to a string. This serves as an explicit reminder of the details of the conversion (including representation error).
>>> import random, decimal
>>> decimal.Decimal(str(random.random()))
Decimal('0.467474014342')
Is this what you mean? It doesn't seem like a pita to me. You can scale it into whatever range and precision you want.
If you know how many digits you want after and before the comma, you can use:
>>> import decimal
>>> import random
>>> def gen_random_decimal(i,d):
... return decimal.Decimal('%d.%d' % (random.randint(0,i),random.randint(0,d)))
...
>>> gen_random_decimal(9999,999999) #4 digits before, 6 after
Decimal('4262.786648')
>>> gen_random_decimal(9999,999999)
Decimal('8623.79391')
>>> gen_random_decimal(9999,999999)
Decimal('7706.492775')
>>> gen_random_decimal(99999999999,999999999999) #11 digits before, 12 after
Decimal('35018421976.794013996282')
>>>
The random module has more to offer than "only returning floats", but anyway:
from random import random
from decimal import Decimal
randdecimal = lambda: Decimal("%f" % random.random())
Or did I miss something obvious in your question ?
decimal.Decimal(random.random() * MAX_VAL).quantize(decimal.Decimal('.01'))
Yet another way to make a random decimal.
import random
round(random.randint(1, 1000) * random.random(), 2)
On this example,
random.randint() generates random integer in specified range (inclusively),
random.random() generates random floating point number in the range (0.0, 1.0)
Finally, round() function will round the multiplication result of the abovementioned values multiplication (something long like 254.71921934351644) to the specified number after the decimal point (in our case we'd get 254.71)
import random
y = eval(input("Enter the value of y for the range of random number : "))
x = round(y*random.random(),2) #only for 2 round off
print(x)