Input Parameter¶

The input parameter is the discretization of the input function. This should be an array \([u(t_0), u(t_1), \dots, u(t_K)]\).

The Input class can create such an array from a selection of typical functions, if initialized with the array of time values.

class nopec.parameters.Input¶

Discretization of input function.

This Enum contains some relevant functions. Input objects should be initialized using an ndarray of time steps.

Examples

>>> import numpy as np
>>> from nopec.parameters import Input
>>> Input.CONSTANT_1(np.array([0, 1, 2]))
array([1., 1., 1.])
>>> Input.JUMP_3_AT_075(np.array([0, 1, 2]))
array([-3.,  3.,  3.])
>>> Input.JUMP_1_AT_075_THEN_WEAK(np.array([0, 1, 2]))
array([-1. ,  1. ,  0.1])
>>> Input.COS_PLUS_SIN(np.array([0,1,2]))
array([ 0.5       , -0.05435766,  0.5020863 ])

CONSTANT_1()¶: u(t) = 1 (const).

CONSTANT_MINUS_1()¶: u(t) = -1 (const).

CONSTANT_MINUS_3()¶: u(t) = -3 (const).

COS_HALF()¶: u(t) = 0.5 * cos(10 * t).

COS_PLUS_SIN()¶: u(t) = 0.5 * cos(10 * t) + 0.4 * sin(20 * t).

JUMP_1_AT_05_TO_NOTHING()¶: u(t) = +1 in [0, 0.5], 0 in (0.5, T].

JUMP_1_AT_075()¶: u(t) = -1 in [0, 0.75], +1 in (0.75, T].

JUMP_1_AT_075_THEN_WEAK()¶: u(t) = -1 in [0, 0.75], +1 in (0.75, 1], 0.1 in (1, T].

JUMP_1_AT_166()¶: u(t) = -1 in [0, 4/3], +1 in (4/3, T].

JUMP_1_AT_A_THIRD()¶: u(t) = -1 in [0, 2T/3], +1 in (2T/3, T].

JUMP_1_AT_A_THIRD_AND_EIGHTH()¶: u(t) = -1 in [0, 2T/3], +1 in (2T/3, 7T/8], -1 in (7T/8, T].

JUMP_3_AT_075()¶: u(t) = -3 in [0, 0.75], +3 in (0.75, T].

JUMP_3_AT_166()¶: u(t) = -3 in [0, 4/3], +3 in (4/3, T].