It is possible to round up integers using format? - python

I'm trying to take a large integer, ie: 123123123 and format it with 3-digits of precision and commas. Format can add the commas using:
'{:,}'.format(123123123) # '123,123,123'
And specify precision for floating points:
'{0:.2f}'.format(3.141592) # '3.14'
But what if I want to do both?
ie:
'{:,3d}'.format(123123123) # ValueError
I would like to have it return: 123,000,000

There is no way to do this directly. The whole point of Python integers is that they're infinite-precision; if you want to round them, you have to do it explicitly. In fact, when you attempted the obvious, the message in the exception told you this:
>>> '{:,.3d}'.format(123123123)
ValueError: Precision not allowed in integer format specifier
So, your attempt at this is in the right directly… but it's more than a little funky:
'{:,.0f}'.format(round(123123123,-6))
There's no reason to explicitly force the int to a float just so you can print it without any fractional values. Just let it stay an int:
'{:,}'.format(round(123123123, -6))
Besides being simpler, this also means that when you try to one day print a giant integer, it won't give you an OverflowError or lose more digits than you wanted…
In earlier versions of Python (that is, 2.x), where round always returns float no matter what type you give it, you can't do that; you will probably want to write a trivial intround function instead. For example:
def intround(number, ndigits):
return (number + 5 * 10**(-ndigits-1)) // 10**-ndigits * 10**-ndigits
If you know for a fact that you will never have an integer too large to fit losslessly into a float, you can just use int(round(*args)) instead—but really, if you can avoid converting integers to floats, you should.
And, while we're at it, there's no reason to build up a {} string to call the format method on when you can just call the free function:
format(round(123123123, -6), ',')

The 'right' way to do this that is Python version independent (well -- it has to have with so 2.5+) is use the Decimal module:
from __future__ import print_function
import decimal
import sys
if sys.version_info.major<3:
ic=long
else:
ic=int
def ri(i, places=6):
with decimal.localcontext() as lct:
lct.prec=places
n=ic(decimal.Decimal(i,)+decimal.Decimal('0'))
return format(n,',')
print(ri(2**99, 4))
# 633,800,000,000,000,000,000,000,000,000
print(ri(12349159111, 7))
# 12,349,160,000
print(ri(12349111111, 3))
# 12,300,000,000
If you use the round method it is fairly fragile on Python 2:
Python 2:
>>> format(round(12349999999999999,-6),',')
'1.235e+16' # wrong....
It works on Python 3, but this is the way to do it so the rounding is left to right:
def rir(i, places=6):
return format(round(i, places-len(str(i))), ',')
print(rir(2**99, 4))
# 633,800,000,000,000,000,000,000,000,000
print(rir(12349159111, 7))
# 12,349,160,000
With a negative offset for ndigits, round(number[, ndigits]) will round the mantissa of the floating point right to left:
>>> round(123456789,-4)
123456789123460000
Works great on Python 3 with larger numbers:
>>> round(123456789123456789,-8)
123456789100000000
On Python 2, the functionality breaks with larger numbers:
>>> round(123456789,-4)
123460000.0
>>> round(123456789123456789,-4)
1.2345678912346e+17
With the decimal module, it works as expected on Python 2 and Python 3.

Related

Dynamic decimal point Python float

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.

ValueError when converting string received from Micro:bit radio into integer in Python [duplicate]

I have a string in the format: 'nn.nnnnn' in Python, and I'd like to convert it to an integer.
Direct conversion fails:
>>> s = '23.45678'
>>> i = int(s)
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
ValueError: invalid literal for int() with base 10: '23.45678'
I can convert it to a decimal by using:
>>> from decimal import *
>>> d = Decimal(s)
>>> print d
23.45678
I could also split on '.', then subtract the decimal from zero, then add that to the whole number ... yuck.
But I'd prefer to have it as an int, without unnecessary type conversions or maneuvering.
How about this?
>>> s = '23.45678'
>>> int(float(s))
23
Or...
>>> int(Decimal(s))
23
Or...
>>> int(s.split('.')[0])
23
I doubt it's going to get much simpler than that, I'm afraid. Just accept it and move on.
What sort of rounding behavior do you want? Do you 2.67 to turn into 3, or 2. If you want to use rounding, try this:
s = '234.67'
i = int(round(float(s)))
Otherwise, just do:
s = '234.67'
i = int(float(s))
>>> s = '23.45678'
>>> int(float(s))
23
>>> int(round(float(s)))
23
>>> s = '23.54678'
>>> int(float(s))
23
>>> int(round(float(s)))
24
You don't specify if you want rounding or not...
You could use:
s = '23.245678'
i = int(float(s))
"Convert" only makes sense when you change from one data type to another without loss of fidelity. The number represented by the string is a float and will lose precision upon being forced into an int.
You want to round instead, probably (I hope that the numbers don't represent currency because then rounding gets a whole lot more complicated).
round(float('23.45678'))
The expression int(float(s)) mentioned by others is the best if you want to truncate the value. If you want rounding, using int(round(float(s)) if the round algorithm matches what you want (see the round documentation), otherwise you should use Decimal and one if its rounding algorithms.
round(float("123.789"))
will give you an integer value, but a float type. With Python's duck typing, however, the actual type is usually not very relevant. This will also round the value, which you might not want. Replace 'round' with 'int' and you'll have it just truncated and an actual int. Like this:
int(float("123.789"))
But, again, actual 'type' is usually not that important.
I believe this is a useless bug that should be corrected in Python.
int('2') --> 2 That converts the string '2' into an the integer 2.
int(2.7) --> 2 Converts a float to an int.
int('2.7') SHOULD convert to 2. This is how Perl works, for example. Yes, this does two things at once. It converts the string and when it finds it is in a representation that is a float, it should convert to int.
Otherwise, why insist that float('2') should work? It is an integer string, because there is no decimal point. So it has to convert from string which is an integer, directly to float.
I don't know but perhaps someone can answer whether the python interpreter, if the required int(float(x)) is used, if it actually goes through the process of first converting to float and then converting to int. That would make this bug even more critical to correct.

How to print floating point numbers as it is without any truncation in python?

I have some number 0.0000002345E^-60. I want to print the floating point value as it is.
What is the way to do it?
print %f truncates it to 6 digits. Also %n.nf gives fixed numbers. What is the way to print without truncation.
Like this?
>>> print('{:.100f}'.format(0.0000002345E-60))
0.0000000000000000000000000000000000000000000000000000000000000000002344999999999999860343602938602754
As you might notice from the output, it’s not really that clear how you want to do it. Due to the float representation you lose precision and can’t really represent the number precisely. As such it’s not really clear where you want the number to stop displaying.
Also note that the exponential representation is often used to more explicitly show the number of significant digits the number has.
You could also use decimal to not lose the precision due to binary float truncation:
>>> from decimal import Decimal
>>> d = Decimal('0.0000002345E-60')
>>> p = abs(d.as_tuple().exponent)
>>> print(('{:.%df}' % p).format(d))
0.0000000000000000000000000000000000000000000000000000000000000000002345
You can use decimal.Decimal:
>>> from decimal import Decimal
>>> str(Decimal(0.0000002345e-60))
'2.344999999999999860343602938602754401109865640550232148836753621775217856801120686600683401464097113374472942165409862789978024748827516129306833728589548440037314681709534891496105046826414763927459716796875E-67'
This is the actual value of float created by literal 0.0000002345e-60. Its value is a number representable as python float which is closest to actual 0.0000002345 * 10**-60.
float should be generally used for approximate calculations. If you want accurate results you should use something else, like mentioned Decimal.
If I understand, you want to print a float?
The problem is, you cannot print a float.
You can only print a string representation of a float. So, in short, you cannot print a float, that is your answer.
If you accept that you need to print a string representation of a float, and your question is how specify your preferred format for the string representations of your floats, then judging by the comments you have been very unclear in your question.
If you would like to print the string representations of your floats in exponent notation, then the format specification language allows this:
{:g} or {:G}, depending whether or not you want the E in the output to be capitalized). This gets around the default precision for e and E types, which leads to unwanted trailing 0s in the part before the exponent symbol.
Assuming your value is my_float, "{:G}".format(my_float) would print the output the way that the Python interpreter prints it. You could probably just print the number without any formatting and get the same exact result.
If your goal is to print the string representation of the float with its current precision, in non-exponentiated form, User poke describes a good way to do this by casting the float to a Decimal object.
If, for some reason, you do not want to do this, you can do something like is mentioned in this answer. However, you should set 'max_digits' to sys.float_info.max_10_exp, instead of 14 used in the answer. This requires you to import sys at some point prior in the code.
A full example of this would be:
import math
import sys
def precision_and_scale(x):
max_digits = sys.float_info.max_10_exp
int_part = int(abs(x))
magnitude = 1 if int_part == 0 else int(math.log10(int_part)) + 1
if magnitude >= max_digits:
return (magnitude, 0)
frac_part = abs(x) - int_part
multiplier = 10 ** (max_digits - magnitude)
frac_digits = multiplier + int(multiplier * frac_part + 0.5)
while frac_digits % 10 == 0:
frac_digits /= 10
scale = int(math.log10(frac_digits))
return (magnitude + scale, scale)
f = 0.0000002345E^-60
p, s = precision_and_scale(f)
print "{:.{p}f}".format(f, p=p)
But I think the method involving casting to Decimal is probably better, overall.

Formatting a string to microseconds

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)

Round float to x decimals?

Is there a way to round a python float to x decimals? For example:
>>> x = roundfloat(66.66666666666, 4)
66.6667
>>> x = roundfloat(1.29578293, 6)
1.295783
I've found ways to trim/truncate them (66.666666666 --> 66.6666), but not round (66.666666666 --> 66.6667).
I feel compelled to provide a counterpoint to Ashwini Chaudhary's answer. Despite appearances, the two-argument form of the round function does not round a Python float to a given number of decimal places, and it's often not the solution you want, even when you think it is. Let me explain...
The ability to round a (Python) float to some number of decimal places is something that's frequently requested, but turns out to be rarely what's actually needed. The beguilingly simple answer round(x, number_of_places) is something of an attractive nuisance: it looks as though it does what you want, but thanks to the fact that Python floats are stored internally in binary, it's doing something rather subtler. Consider the following example:
>>> round(52.15, 1)
52.1
With a naive understanding of what round does, this looks wrong: surely it should be rounding up to 52.2 rather than down to 52.1? To understand why such behaviours can't be relied upon, you need to appreciate that while this looks like a simple decimal-to-decimal operation, it's far from simple.
So here's what's really happening in the example above. (deep breath) We're displaying a decimal representation of the nearest binary floating-point number to the nearest n-digits-after-the-point decimal number to a binary floating-point approximation of a numeric literal written in decimal. So to get from the original numeric literal to the displayed output, the underlying machinery has made four separate conversions between binary and decimal formats, two in each direction. Breaking it down (and with the usual disclaimers about assuming IEEE 754 binary64 format, round-ties-to-even rounding, and IEEE 754 rules):
First the numeric literal 52.15 gets parsed and converted to a Python float. The actual number stored is 7339460017730355 * 2**-47, or 52.14999999999999857891452847979962825775146484375.
Internally as the first step of the round operation, Python computes the closest 1-digit-after-the-point decimal string to the stored number. Since that stored number is a touch under the original value of 52.15, we end up rounding down and getting a string 52.1. This explains why we're getting 52.1 as the final output instead of 52.2.
Then in the second step of the round operation, Python turns that string back into a float, getting the closest binary floating-point number to 52.1, which is now 7332423143312589 * 2**-47, or 52.10000000000000142108547152020037174224853515625.
Finally, as part of Python's read-eval-print loop (REPL), the floating-point value is displayed (in decimal). That involves converting the binary value back to a decimal string, getting 52.1 as the final output.
In Python 2.7 and later, we have the pleasant situation that the two conversions in step 3 and 4 cancel each other out. That's due to Python's choice of repr implementation, which produces the shortest decimal value guaranteed to round correctly to the actual float. One consequence of that choice is that if you start with any (not too large, not too small) decimal literal with 15 or fewer significant digits then the corresponding float will be displayed showing those exact same digits:
>>> x = 15.34509809234
>>> x
15.34509809234
Unfortunately, this furthers the illusion that Python is storing values in decimal. Not so in Python 2.6, though! Here's the original example executed in Python 2.6:
>>> round(52.15, 1)
52.200000000000003
Not only do we round in the opposite direction, getting 52.2 instead of 52.1, but the displayed value doesn't even print as 52.2! This behaviour has caused numerous reports to the Python bug tracker along the lines of "round is broken!". But it's not round that's broken, it's user expectations. (Okay, okay, round is a little bit broken in Python 2.6, in that it doesn't use correct rounding.)
Short version: if you're using two-argument round, and you're expecting predictable behaviour from a binary approximation to a decimal round of a binary approximation to a decimal halfway case, you're asking for trouble.
So enough with the "two-argument round is bad" argument. What should you be using instead? There are a few possibilities, depending on what you're trying to do.
If you're rounding for display purposes, then you don't want a float result at all; you want a string. In that case the answer is to use string formatting:
>>> format(66.66666666666, '.4f')
'66.6667'
>>> format(1.29578293, '.6f')
'1.295783'
Even then, one has to be aware of the internal binary representation in order not to be surprised by the behaviour of apparent decimal halfway cases.
>>> format(52.15, '.1f')
'52.1'
If you're operating in a context where it matters which direction decimal halfway cases are rounded (for example, in some financial contexts), you might want to represent your numbers using the Decimal type. Doing a decimal round on the Decimal type makes a lot more sense than on a binary type (equally, rounding to a fixed number of binary places makes perfect sense on a binary type). Moreover, the decimal module gives you better control of the rounding mode. In Python 3, round does the job directly. In Python 2, you need the quantize method.
>>> Decimal('66.66666666666').quantize(Decimal('1e-4'))
Decimal('66.6667')
>>> Decimal('1.29578293').quantize(Decimal('1e-6'))
Decimal('1.295783')
In rare cases, the two-argument version of round really is what you want: perhaps you're binning floats into bins of size 0.01, and you don't particularly care which way border cases go. However, these cases are rare, and it's difficult to justify the existence of the two-argument version of the round builtin based on those cases alone.
Use the built-in function round():
In [23]: round(66.66666666666,4)
Out[23]: 66.6667
In [24]: round(1.29578293,6)
Out[24]: 1.295783
help on round():
round(number[, ndigits]) -> floating point number
Round a number to a given precision in decimal digits (default 0
digits). This always returns a floating point number. Precision may
be negative.
Default rounding in python and numpy:
In: [round(i) for i in np.arange(10) + .5]
Out: [0, 2, 2, 4, 4, 6, 6, 8, 8, 10]
I used this to get integer rounding to be applied to a pandas series:
import decimal
and use this line to set the rounding to "half up" a.k.a rounding as taught in school:
decimal.getcontext().rounding = decimal.ROUND_HALF_UP
Finally I made this function to apply it to a pandas series object
def roundint(value):
return value.apply(lambda x: int(decimal.Decimal(x).to_integral_value()))
So now you can do roundint(df.columnname)
And for numbers:
In: [int(decimal.Decimal(i).to_integral_value()) for i in np.arange(10) + .5]
Out: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Credit: kares
The Mark Dickinson answer, although complete, didn't work with the float(52.15) case. After some tests, there is the solution that I'm using:
import decimal
def value_to_decimal(value, decimal_places):
decimal.getcontext().rounding = decimal.ROUND_HALF_UP # define rounding method
return decimal.Decimal(str(float(value))).quantize(decimal.Decimal('1e-{}'.format(decimal_places)))
(The conversion of the 'value' to float and then string is very important, that way, 'value' can be of the type float, decimal, integer or string!)
Hope this helps anyone.
I coded a function (used in Django project for DecimalField) but it can be used in Python project :
This code :
Manage integers digits to avoid too high number
Manage decimals digits to avoid too low number
Manage signed and unsigned numbers
Code with tests :
def convert_decimal_to_right(value, max_digits, decimal_places, signed=True):
integer_digits = max_digits - decimal_places
max_value = float((10**integer_digits)-float(float(1)/float((10**decimal_places))))
if signed:
min_value = max_value*-1
else:
min_value = 0
if value > max_value:
value = max_value
if value < min_value:
value = min_value
return round(value, decimal_places)
value = 12.12345
nb = convert_decimal_to_right(value, 4, 2)
# nb : 12.12
value = 12.126
nb = convert_decimal_to_right(value, 4, 2)
# nb : 12.13
value = 1234.123
nb = convert_decimal_to_right(value, 4, 2)
# nb : 99.99
value = -1234.123
nb = convert_decimal_to_right(value, 4, 2)
# nb : -99.99
value = -1234.123
nb = convert_decimal_to_right(value, 4, 2, signed = False)
# nb : 0
value = 12.123
nb = convert_decimal_to_right(value, 8, 4)
# nb : 12.123
def trim_to_a_point(num, dec_point):
factor = 10**dec_point # number of points to trim
num = num*factor # multiple
num = int(num) # use the trimming of int
num = num/factor #divide by the same factor of 10s you multiplied
return num
#test
a = 14.1234567
trim_to_a_point(a, 5)
output
========
14.12345
multiple by 10^ decimal point you want
truncate with int() method
divide by the same number you multiplied before
done!
Just posted this for educational reasons i think it is correct though :)

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