# NumPy: geomspace() function

## numpy.geomspace() function

The geomspace() function is used to get numbers spaced evenly on a log scale (a geometric progression).
This is similar to logspace, but with endpoints specified directly. Each output sample is a constant multiple of the previous.

Syntax:

`numpy.geomspace(start, stop, num=50, endpoint=True, dtype=None)` Version: 1.15.0

Parameter:

Name Description Required /
Optional
start The starting value of the sequence. Required
stop The final value of the sequence, unless endpoint is False. In that case, num + 1 values are spaced over the interval in log-space, of which all but the last (a sequence of length num) are returned. Required
num Number of samples to generate. Default is 50. Optional
endpoint If True, stop is the last sample. Otherwise, it is not included. Default is True. Optional
dtype The type of the output array. If dtype is not given, infer the data type from the other input arguments.

Return value:

ndarray - num samples, equally spaced on a log scale.

Example-1: NumPy.geomspace() function

``````>>> import numpy as np
>>> np.geomspace(1, 1000, num=4)
array([    1.,    10.,   100.,  1000.])
>>> np.geomspace(1, 1000, num=3, endpoint=False)
array([   1.,   10.,  100.])
>>> np.geomspace(1, 1000, num=4, endpoint=False)
array([   1.        ,    5.62341325,   31.6227766 ,  177.827941  ])
>>> np.geomspace(1, 256, num=9)
array([   1.,    2.,    4.,    8.,   16.,   32.,   64.,  128.,  256.])
``````

Pictorial Presentation:  Example-2: NumPy.geomspace() method

``````>>> import numpy as np
>>> import matplotlib.pyplot as plt
>>> N = 10
>>> y = np.zeros(N)
>>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=True), y + 1, 'o')
>>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=False), y + 2, 'o')
>>> plt.axis([0.5, 2000, 0, 3])
>>> plt.grid(True, color='0.7', linestyle='-', which='both', axis='both')
>>> plt.show()
``````

Python - NumPy Code Editor:

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