octadist.linear
- octadist.src.linear.angle_sign(v1, v2, direct)[source]
Compute angle between two vectors with sign and return value in degree.
- Parameters:
v1 (array_like) – Vector in 3D space.
v2 (array_like) – Vector in 3D space.
direct (array) – Vector that refers to orientation of the plane.
- Returns:
angle (float64) – Angle between two vectors in degree unit with sign.
See also
calc.calc_theta
Calculate theta parameter.
Examples
>>> vector1 = [1.21859514, -0.92569245, -0.51717955] >>> vector2 = [1.02186387, 0.57480095, -0.95220433] >>> direction = [1.29280503, 0.69301873, 1.80572438] >>> angle_sign(vector1, vector2, direction) 60.38697927455357
- octadist.src.linear.angle_btw_vectors(v1, v2)[source]
Compute angle between two vectors and return value in degree.
- Parameters:
v1 (array_like) – Vector in 3D space.
v2 (array_like) – Vector in 3D space.
- Returns:
angle (float64) – Angle between two vectors in degree unit.
Examples
>>> vector1 = [-0.412697, -0.357008, -1.788172] >>> vector2 = [-0.550839, 1.799178, -0.039114] >>> angle_btw_vectors(vector1, vector2) 95.62773246517462
- octadist.src.linear.angle_btw_planes(a1, b1, c1, a2, b2, c2)[source]
Find the angle between 2 planes in 3D and return value in degree.
General equation of plane: a*X + b*Y + c*Z + d = 0
- Parameters:
a1 (float) – Coefficient of the equation of plane 1.
b1 (float) – Coefficient of the equation of plane 1.
c1 (float) – Coefficient of the equation of plane 1.
a2 (float) – Coefficient of the equation of plane 2.
b2 (float) – Coefficient of the equation of plane 2.
c2 (float) – Coefficient of the equation of plane 2.
- Returns:
angle (float64) – Angle between 2 planes in degree unit.
Examples
>>> # Plane 1 >>> a1 = -3.231203733528 >>> b1 = -0.9688526458499996 >>> c1 = 0.9391692927779998 >>> # Plane 2 >>> a2 = 1.3904813057000005 >>> b2 = 3.928502357473003 >>> c2 = -4.924114034864001 >>> angle_btw_planes(a1, b1, c1, a2, b2, c2) 124.89920902358416
- octadist.src.linear.triangle_area(a, b, c)[source]
Calculate the area of the triangle using the cross product:
Area = abs(ab X ac)/2 where vector ab = b - a and vector ac = c - a.
- Parameters:
a (array_like) – 3D Coordinate of point.
b (array_like) – 3D Coordinate of point.
c (array_like) – 3D Coordinate of point.
- Returns:
area (float64) – The triangle area.
Examples
>>> # Three vertices >>> a = [2.298354000, 5.161785000, 7.971898000] >>> b = [1.885657000, 4.804777000, 6.183726000] >>> c = [1.747515000, 6.960963000, 7.932784000] >>> triangle_area(a, b, c) 1.7508135235821773