I fell on a weird case. I tried either of the three solutions posted here from Pyson: Increment a python floating point value by the smallest possible amount. All three solutions display a weird behavior when I land on this floating point: 1.15898324042702949299155079643242061138153076171875.
Let say I have the following code:
import numpy as np
from __future__ import division
a = 1.15898324042702949299155079643242061138153076171875
b = 0
b = np.nextafter(a,1)
print a, b
For some reason, instead of incrementing b
by the smallest amount possible, it is decremented.
Why is that?
Here's some quick results that I got from playing around:
In [12]: a = 1.15898324042702949299155079643242061138153076171875
In [13]: a
Out[13]: 1.1589832404270295
In [14]: numpy.nextafter(a,1)
Out[14]: 1.1589832404270293
In [15]: numpy.nextafter(a,-1)
Out[15]: 1.1589832404270293
From the docs (emphasis mine):
nextafter(x1, x2[, out])
Return the next representable floating-point value after x1 **in the direction
of x2 element-wise**.
The second argument isn't a direction given by +/-1, it's the value to aim toward.
In [12]: a = 1.15898324042702949299155079643242061138153076171875
In [13]: a
Out[13]: 1.1589832404270295
In [14]: numpy.nextafter(a, 0)
Out[14]: 1.1589832404270293
In [15]: numpy.nextafter(a, 1)
Out[15]: 1.1589832404270293
In [16]: numpy.nextafter(a, 1.16)
Out[16]: 1.1589832404270297
In [17]: numpy.nextafter(a, 2)
Out[17]: 1.1589832404270297
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