Help on function linspace in module numpy:
linspace(start, stop, num=50, endpoint=True, retstep=False, dtype=None, axis=0)
Return evenly spaced numbers over a specified interval.
Returns num
evenly spaced samples, calculated over the interval [start
, stop
].
The endpoint of the interval can optionally be excluded.
versionchanged:: 1.16.0
Non-scalar start
and stop
are now supported.
Parameters
- start : array_like
The starting value of the sequence. - stop : array_like
The end value of the sequence, unlessendpoint
is set to False.
In that case, the sequence consists of all but the last ofnum + 1
evenly spaced samples, so thatstop
is excluded. Note that the step
size changes whenendpoint
is False. - num : int, optional
Number of samples to generate. Default is 50. Must be non-negative. - endpoint : bool, optional
If True,stop
is the last sample. Otherwise, it is not included.
Default is True. - retstep : bool, optional
If True, return (samples
,step
), wherestep
is the spacing
between samples. - dtype : dtype, optional
The type of the output array. Ifdtype
is not given, infer the data
type from the other input arguments.
versionadded:: 1.9.0
- axis : int, optional
The axis in the result to store the samples. Relevant only if start
or stop are array-like. By default (0), the samples will be along a
new axis inserted at the beginning. Use -1 to get an axis at the end.
versionadded:: 1.16.0
Returns
-------
samples : ndarray
There are num
equally spaced samples in the closed interval
[start, stop]
or the half-open interval [start, stop)
(depending on whether endpoint
is True or False).
step : float, optional
Only returned if retstep
is True
Size of spacing between samples.
See Also
--------
arange : Similar to linspace
, but uses a step size (instead of the
number of samples).
geomspace : Similar to linspace
, but with numbers spaced evenly on a log
scale (a geometric progression).
logspace : Similar to geomspace
, but with the end points specified as
logarithms.
Examples
>>> import numpy as np
>>> np.linspace(2.0, 3.0, num=5)
array([2. , 2.25, 2.5 , 2.75, 3. ])
>>> np.linspace(2.0, 3.0, num=5, endpoint=False)
array([2. , 2.2, 2.4, 2.6, 2.8])
>>> np.linspace(2.0, 3.0, num=5, retstep=True)
(array([2. , 2.25, 2.5 , 2.75, 3. ]), 0.25)
Graphical illustration:
import numpy as np
import matplotlib.pyplot as plt
N = 8
y = np.zeros(N)
x1 = np.linspace(0, 10, N, endpoint=True)
x2 = np.linspace(0, 10, N, endpoint=False)
plt.plot(x1, y, 'o')
plt.plot(x2, y + 0.5, 'o')
plt.ylim([-0.5, 1])
plt.show()