Welcome to mathMB’s documentation

mathMB provides mathematical functions designed to be used by nexoclom, although they can be used as stand-alone routines.

interpu

interpu(): 1D linear interpolation using astropy quantities.

This is a wrapper for numpy.interp for use when using astropy quantities. If x and xp have different units, xp is converted to the units of x before interpolation. An exception is raised if the units are not compatible (i.e., the units of xp cannot be converted to the units of x).

Author

Matthew Burger

mathMB.interpu.interpu(x, xp, fp, **kwargs)

Return one dimensional interpolated astropy quantities.

Parameters

x

The x-coordinates at which to evaluate the interpolated values

xp

The x-coordinates of the data points.

fp

The y-coordinates of the data points

Notes

x and xp must have compatible units. See numpy.interp for details on interpolation.

minmaxmean

minmaxmean(): Print np.min(), np.max(), np.mean() at once.

mathMB.minmaxmean.minmaxmean(x)

Print np.min(), np.max(), np.mean() at once.

randomdeviates

Compute random deviates from arbitrary 1D and 2D distributions.

mathMB.randomdeviates.random_deviates_1d(x, f_x, num)

Compute random deviates from arbitrary 1D distribution.

f_x does not need to integrate to 1. The function nomralizes the distribution. Uses Transformation method (Numerical Recepies, 7.3.2)

Parameters

x

The x values of the distribution

f_x

The relative probability of the value being in x and x+dx

num

The number of random deviates to compute

Returns

numpy array of length num chosen from the distribution f_x.

mathMB.randomdeviates.random_deviates_2d(fdist, x0, y0, num)

Compute random deviates from arbitrary 2D distribution.

Uses acceptance/rejection method. Parameters

fdist

2d array of relative probability

x0

xaxis

y0

yaxis

num

number of points to choose

Outputs

x, y

vectors of length num

rotation_matrix

rotation_matrix(): Compute the rotation matrix about an axis.

mathMB.rotation_matrix.rotation_matrix(theta, axis)

Compute the rotation matrix for a rotation of theta about axis.

Authors

Matthew Burger

License

LICENSE