biosspheres.miscella.mathfunctions#

Functions

callable_plane_wave(a, k, p)

cte(c)

Constant function.

laplace_almost_fundamental_function(r_1, ...)

Evaluating in two DIFFERENT points.

linear_function(coefficients)

Linear function.

plane_wave(a, k, r, p)

Plane wave function, input in three dimensions.

point_source(r, p, sigma_e)

Returns 1.
biosspheres.miscella.mathfunctions.cte(c: float)[source]#

Constant function.

Parameters:

c (float) – constant parameter.

Returns:

constant_function

Return type:

Callable of one parameter

biosspheres.miscella.mathfunctions.laplace_almost_fundamental_function(r_1: ndarray, r_2: ndarray, p_1: ndarray, p_2: ndarray) → float[source]#

Evaluating in two DIFFERENT points.

Parameters:

  • r_1

  • r_2

  • p_1

  • p_2

Returns:

value

Return type:

float

biosspheres.miscella.mathfunctions.linear_function(coefficients: ndarray)[source]#

Linear function.

Notes

All arrays that represent vectors are in the cartesian coordinate system.

Parameters:

coefficients (np.ndarray) – of floats, parameters of the linear function.

Returns:

linear

Return type:

Callable of one parameter

biosspheres.miscella.mathfunctions.plane_wave(a: float, k: ndarray, r: ndarray, p: ndarray) → complex[source]#

Plane wave function, input in three dimensions.

Notes

All arrays that represent vectors are in the cartesian coordinate system.

Parameters:

  • a (float) – amplitude.

  • k (np.ndarray) – wave vector.

  • r (np.ndarray) – variable.

  • p (np.ndarray)

Returns:

result of the plane wave function given the parameters and the vector variable.

Return type:

complex

biosspheres.miscella.mathfunctions.point_source(r: ndarray, p: ndarray, sigma_e: float) → float[source]#

Returns 1. / (4 * pi * sigma_e * ||r - p||_2), where

Notes

All arrays that represent vectors are in the cartesian coordinate system.

Parameters:

  • r (numpy array) – of length 3 in the cartesian coordinate system. Position vector to be evaluated.

  • p (numpy array) – of length 3 in the cartesian coordinate system. Position vector of the point source.

  • sigma_e (float) – > 0.

Return type:

float