Module gdalhelpers.helpers.math_helpers
Expand source code
import math
# https://www.quora.com/How-does-one-correctly-compare-two-floats-in-Python-to-test-if-they-are-equal
def is_almost_equal(x: float, y: float, epsilon: float = 1 * 10 ** (-8)) -> bool:
"""
Return True if two values are close in numeric value. By default close is withing 1*10^-8 of each other
i.e. 0.00000001.
Parameters
----------
x, y : float
Values to compare.
epsilon : float, optional
Value of closeness, small number. Default value is 1 * 10e-8.
Returns
-------
bool
`True` if the absolute difference between `x` and `y` is smaller then `epsilon`.
"""
"""Return True if two values are close in numeric value
By default close is withing 1*10^-8 of each other
i.e. 0.00000001"""
return abs(x - y) <= epsilon
def distance(x1: float, y1: float,
x2: float, y2: float) -> float:
"""
Calculate distance from coordinates of two points.
Parameters
----------
x1, y1 : float
x2, y2 : float
Returns
-------
float
Distance of points.
"""
return math.sqrt(math.pow(x1-x2, 2) + math.pow(y1-y2, 2))
def horizontal_angle(x1: float, y1: float,
x2: float, y2: float) -> float:
"""
Calculate angle (direction) from coordinates of two points.
Parameters
----------
x1, y1 : float
x2, y2 : float
Returns
-------
float
Angle orientation.
"""
return math.atan2(y1 - y2, x1 - x2)Functions
def distance(x1, y1, x2, y2)-
Calculate distance from coordinates of two points.
Parameters
x1,y1:floatx2,y2:float
Returns
float- Distance of points.
Expand source code
def distance(x1: float, y1: float, x2: float, y2: float) -> float: """ Calculate distance from coordinates of two points. Parameters ---------- x1, y1 : float x2, y2 : float Returns ------- float Distance of points. """ return math.sqrt(math.pow(x1-x2, 2) + math.pow(y1-y2, 2)) def horizontal_angle(x1, y1, x2, y2)-
Calculate angle (direction) from coordinates of two points.
Parameters
x1,y1:floatx2,y2:float
Returns
float- Angle orientation.
Expand source code
def horizontal_angle(x1: float, y1: float, x2: float, y2: float) -> float: """ Calculate angle (direction) from coordinates of two points. Parameters ---------- x1, y1 : float x2, y2 : float Returns ------- float Angle orientation. """ return math.atan2(y1 - y2, x1 - x2) def is_almost_equal(x, y, epsilon=1e-08)-
Return True if two values are close in numeric value. By default close is withing 1*10^-8 of each other i.e. 0.00000001.
Parameters
x,y:float- Values to compare.
epsilon:float, optional- Value of closeness, small number. Default value is 1 * 10e-8.
Returns
boolTrueif the absolute difference betweenxandyis smaller thenepsilon.
Expand source code
def is_almost_equal(x: float, y: float, epsilon: float = 1 * 10 ** (-8)) -> bool: """ Return True if two values are close in numeric value. By default close is withing 1*10^-8 of each other i.e. 0.00000001. Parameters ---------- x, y : float Values to compare. epsilon : float, optional Value of closeness, small number. Default value is 1 * 10e-8. Returns ------- bool `True` if the absolute difference between `x` and `y` is smaller then `epsilon`. """ """Return True if two values are close in numeric value By default close is withing 1*10^-8 of each other i.e. 0.00000001""" return abs(x - y) <= epsilon