5.1.2.3. numdifftools.step_generators.MinStepGenerator

class MinStepGenerator(base_step=None, step_ratio=None, num_steps=None, step_nom=None, offset=0, num_extrap=0, use_exact_steps=True, check_num_steps=True, scale=None)[source]

Generates a sequence of steps

where

steps = step_nom * base_step * step_ratio ** (i + offset)

for i = num_steps-1,… 1, 0.

Parameters:
  • base_step (float, array-like, optional) – Defines the minimum step, if None, the value is set to EPS**(1/scale)

  • step_ratio (real scalar, optional, default 2) – Ratio between sequential steps generated. Note: Ratio > 1 If None then step_ratio is 2 for n=1 otherwise step_ratio is 1.6

  • num_steps (scalar integer, optional, default min_num_steps + num_extrap) – defines number of steps generated. It should be larger than min_num_steps = (n + order - 1) / fact where fact is 1, 2 or 4 depending on differentiation method used.

  • step_nom (default maximum(log(exp(1)+|x|), 1)) – Nominal step where x is supplied at runtime through the __call__ method.

  • offset (real scalar, optional, default 0) – offset to the base step

  • num_extrap (scalar integer, default 0) – number of points used for extrapolation

  • check_num_steps (boolean, default True) – If True make sure num_steps is larger than the minimum required steps.

  • use_exact_steps (boolean, default True) – If true make sure exact steps are generated

  • scale (real scalar, optional) – scale used in base step. If not None it will override the default computed with the default_scale function.

__init__(base_step=None, step_ratio=None, num_steps=None, step_nom=None, offset=0, num_extrap=0, use_exact_steps=True, check_num_steps=True, scale=None)[source]

Methods

__init__([base_step, step_ratio, num_steps, ...])

step_generator_function(x[, method, n, order])

Step generator function

Attributes

base_step

Base step defines the minimum or maximum step when offset==0.

min_num_steps

Minimum number of steps required given the differentiation method and order.

num_steps

Defines number of steps generated

scale

Scale used in base step.

step_nom

Nominal step

step_ratio

Ratio between sequential steps generated