n_sphere package

Submodules

n_sphere.discrep_2 module

n_sphere.discrep_2.discrep_2(K, X)

dispersion measure

Parameters:

• K ([type]) – [description]
• X ([type]) – [description]

Returns:

dispersion

Return type:

float

n_sphere.halton_n module

class n_sphere.halton_n.halton(b)

Bases: object

Generate base-b Halton sequence

Parameters:

• n (int) – [description]
• b ([int]) – sequence base, integer exceeding 1

Returns:

base-b low discrepancy sequence

Return type:

([float])

class n_sphere.halton_n.halton_n(n, b)

Bases: object

Generate base-b Halton sequence

Parameters:

• n (int) – [description]
• b ([int]) – sequence base, integer exceeding 1

Returns:

base-b low discrepancy sequence

Return type:

([float])

n_sphere.skeleton module

This is a skeleton file that can serve as a starting point for a Python console script. To run this script uncomment the following lines in the [options.entry_points] section in setup.cfg:

console_scripts =

fibonacci = n_sphere.skeleton:run

Then run python setup.py install which will install the command fibonacci inside your current environment. Besides console scripts, the header (i.e. until _logger…) of this file can also be used as template for Python modules.

Note: This skeleton file can be safely removed if not needed!

n_sphere.skeleton.fib(n)

Fibonacci example function

Parameters:n (int) – integer Returns:n-th Fibonacci number Return type:int

n_sphere.skeleton.main(args)

Main entry point allowing external calls

Parameters:args ([str]) – command line parameter list

n_sphere.skeleton.parse_args(args)

Parse command line parameters

Parameters:args ([str]) – command line parameters as list of strings Returns:command line parameters namespace Return type:argparse.Namespace

n_sphere.skeleton.run()

Entry point for console_scripts

n_sphere.skeleton.setup_logging(loglevel)

Setup basic logging

Parameters:loglevel (int) – minimum loglevel for emitting messages

n_sphere.sphere module

class n_sphere.sphere.circle(base=2)

Bases: object

Generate Circle Halton sequence 0,..,k

Parameters:k (int) – maximum sequence index, non-negative integer Keyword Arguments:  base (int) – [description] (default: {2}) Returns:base-b low discrepancy sequence Return type:([float])

class n_sphere.sphere.sphere(b)

Bases: object

Generate Sphere Halton sequence 0,..,k

Parameters:k (int) – maximum sequence index, non-negative integer Keyword Arguments:  b ([int]) – sequence base, integer exceeding 1 Returns:base-b low discrepancy sequence Return type:([float])

n_sphere.sphere3 module

class n_sphere.sphere3.sphere3(b)

Bases: object

Generate Sphere-3 Halton sequence

Parameters:k (int) – maximum sequence index, non-negative integer Keyword Arguments:  b ([int]) – sequence base, integer exceeding 1 Returns:base-b low discrepancy sequence Return type:([float])

class n_sphere.sphere3.sphere3_hopf(b)

Bases: object

sphere3_hopf Halton sequence INPUTS : k - maximum sequence index, non-negative integer

b - sequence base, integer exceeding 1

n_sphere.sphere_n module

class n_sphere.sphere_n.cylin_n(n, b)

Bases: object

Generate using cylindrical coordinate method

Parameters:

• k (int) – maximum sequence index, non-negative integer
• n (int) – [description]
• b ([int]) – sequence base, integer exceeding 1

Returns:

base-b low discrepancy sequence

Return type:

([float])

n_sphere.sphere_n.int_sin_power(n, x)

Evaluate integral sin^n(x) dx

Parameters:

• n (int) – power
• x (float) – [description]

Returns:

[description]

Return type:

float

class n_sphere.sphere_n.sphere_n(n, b)

Bases: object

Generate Sphere-3 Halton sequence

Parameters:k (int) – maximum sequence index, non-negative integer Keyword Arguments:  b ([int]) – sequence base, integer exceeding 1 Returns:base-b low discrepancy sequence Return type:([float])

n_sphere.vdcorput module

n_sphere.vdcorput.vdc(n, base=2)

[summary]

Parameters:n (int) – number Keyword Arguments:  base (int) – [description] (default: {2}) Returns:[description] Return type:int

class n_sphere.vdcorput.vdcorput(base=2)

Bases: object

n_sphere.vdcorput.vdcorput_co(k, base=2)

[summary]

Parameters:k (int) – number of points Keyword Arguments:  base (int) – [description] (default: {2}) Returns:[description] Return type:int

Module contents