maths.line_length

Functions

f(x)

line_length(→ float)

Approximates the arc length of a line segment by treating the curve as a

Module Contents

maths.line_length.f(x)
maths.line_length.line_length(fnc: collections.abc.Callable[[float], float], x_start: float, x_end: float, steps: int = 100) → float

Approximates the arc length of a line segment by treating the curve as a sequence of linear lines and summing their lengths :param fnc: a function which defines a curve :param x_start: left end point to indicate the start of line segment :param x_end: right end point to indicate end of line segment :param steps: an accuracy gauge; more steps increases accuracy :return: a float representing the length of the curve

>>> def f(x):
...    return x
>>> f"{line_length(f, 0, 1, 10):.6f}"
'1.414214'

>>> def f(x):
...    return 1
>>> f"{line_length(f, -5.5, 4.5):.6f}"
'10.000000'

>>> def f(x):
...    return math.sin(5 * x) + math.cos(10 * x) + x * x/10
>>> f"{line_length(f, 0.0, 10.0, 10000):.6f}"
'69.534930'