numpy.around¶

numpy.
around
(a, decimals=0, out=None)[source]¶ Evenly round to the given number of decimals.
 Parameters
 aarray_like
Input data.
 decimalsint, optional
Number of decimal places to round to (default: 0). If decimals is negative, it specifies the number of positions to the left of the decimal point.
 outndarray, optional
Alternative output array in which to place the result. It must have the same shape as the expected output, but the type of the output values will be cast if necessary. See ufuncsoutputtype for more details.
 Returns
 rounded_arrayndarray
An array of the same type as a, containing the rounded values. Unless out was specified, a new array is created. A reference to the result is returned.
The real and imaginary parts of complex numbers are rounded separately. The result of rounding a float is a float.
Notes
For values exactly halfway between rounded decimal values, NumPy rounds to the nearest even value. Thus 1.5 and 2.5 round to 2.0, 0.5 and 0.5 round to 0.0, etc.
np.around
uses a fast but sometimes inexact algorithm to round floatingpoint datatypes. For positive decimals it is equivalent tonp.true_divide(np.rint(a * 10**decimals), 10**decimals)
, which has error due to the inexact representation of decimal fractions in the IEEE floating point standard [1] and errors introduced when scaling by powers of ten. For instance, note the extra “1” in the following:>>> np.round(56294995342131.5, 3) 56294995342131.51
If your goal is to print such values with a fixed number of decimals, it is preferable to use numpy’s float printing routines to limit the number of printed decimals:
>>> np.format_float_positional(56294995342131.5, precision=3) '56294995342131.5'
The float printing routines use an accurate but much more computationally demanding algorithm to compute the number of digits after the decimal point.
Alternatively, Python’s builtin
round
function uses a more accurate but slower algorithm for 64bit floating point values:>>> round(56294995342131.5, 3) 56294995342131.5 >>> np.round(16.055, 2), round(16.055, 2) # equals 16.0549999999999997 (16.06, 16.05)
References
 1
“Lecture Notes on the Status of IEEE 754”, William Kahan, https://people.eecs.berkeley.edu/~wkahan/ieee754status/IEEE754.PDF
 2
“How Futile are Mindless Assessments of Roundoff in FloatingPoint Computation?”, William Kahan, https://people.eecs.berkeley.edu/~wkahan/Mindless.pdf
Examples
>>> np.around([0.37, 1.64]) array([0., 2.]) >>> np.around([0.37, 1.64], decimals=1) array([0.4, 1.6]) >>> np.around([.5, 1.5, 2.5, 3.5, 4.5]) # rounds to nearest even value array([0., 2., 2., 4., 4.]) >>> np.around([1,2,3,11], decimals=1) # ndarray of ints is returned array([ 1, 2, 3, 11]) >>> np.around([1,2,3,11], decimals=1) array([ 0, 0, 0, 10])