Angle between 2 points in a 2D space

Q. How can we find the angle between two points in a 2D space as shown in the figure if the
positions are given

take this care
Point Ax = 2.8
Point Ay = 3.2

Point Bx = 5.2
Point By = 6.2

say you are doing this calculation in python here it goes in python

import math

angle = math.atan2(Bx-Ax, By-Ay)
ie
angleR = math.atan2(5.2-2.8, 6.2-3.2)
0.6747094222355274
since this result is in radians u neet to convert it to degrees using

math.degrees(angle)
38.659808254090095

Smoothstep function

We have smooth step function in almost all application here is an example how to write a smoothstep function manualy

smoothstep = x*x – sin(x)

here is a graphical representation for smoothstep graph and python code

How to find Random points inside a given triangle

According to Bary Centric Coordinates it says if a triangle with points A, B, C is on a 2D or 3D dimension then a point inside triangle

N(point inside triangle) = ((t1*A)+(t2*B)+(t3*C))

where t1, t2, t3 is any radom value between 0 and 1 but also a condition exist ie

t1+t2+t3 =1

here is a sample code with a graphical representation code



this can be even used inside other softwares like maya, houdini also like imagine you have to genereate curves between 3 selected points etc...

** Note: To run the sample python code matplotlib graphics library is required.