Updated

Scripts/Modeling/Edit/gs_curvetools/utils/gs_math.py

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+"""
+
+License:
+This collection of code named GS CurveTools is a property of George Sladkovsky (Yehor Sladkovskyi)
+and can not be copied or distributed without his written permission.
+
+GS CurveTools v1.3.1 Studio
+Copyright 2023, George Sladkovsky (Yehor Sladkovskyi)
+All Rights Reserved
+
+Autodesk Maya is a property of Autodesk, Inc.
+
+Social Media and Contact Links:
+
+Discord Server:       https://discord.gg/f4DH6HQ
+Online Store:         https://sladkovsky3d.artstation.com/store
+Online Documentation: https://gs-curvetools.readthedocs.io/
+Twitch Channel:       https://www.twitch.tv/videonomad
+YouTube Channel:      https://www.youtube.com/c/GeorgeSladkovsky
+ArtStation Portfolio: https://www.artstation.com/sladkovsky3d
+Contact Email:        george.sladkovsky@gmail.com
+
+"""
+
+from Qt import QtGui
+
+def lerp(x, y0, y1, x0=0, x1=1):
+    """ Returns the value between y0 and y1 based on x in range of x0 and x1
+
+    https://en.wikipedia.org/wiki/Linear_interpolation"""
+    return float((y0 * (x1 - x) + y1 * (x - x0)) / (x1 - x0))
+
+def quad(y1, y2, y3, fPoint, x1=0, x2=0.5, x3=1):
+    """ Takes three points (y1, y2, y3) and returns a point on computed curve with fPoint """
+    A = (x2 * (y1 - y3) + x3 * (y2 - y1)) / ((x1 - x2) * (x1 - x3) * (x2 - x3))
+    B = (y2 - y1) / (x2 - x1) - A * (x1 + x2)
+    C = y1
+    return (A * (fPoint**2)) + (B * fPoint) + C
+
+def dot(v1, v2):
+    """ Dot product of two QVector2D """
+    return QtGui.QVector2D.dotProduct(v1, v2)
+
+def projectPoint(A, B, P):
+    """ Project a point P onto a line made of two points A and B """
+    A = QtGui.QVector2D(A)
+    B = QtGui.QVector2D(B)
+    P = QtGui.QVector2D(P)
+    AP = A - P
+    AB = A - B
+    return (A - dot(AP, AB) / dot(AB, AB) * AB).toPointF()
+
+def angleDiff(a1, a2):
+    """ Find an absolute angle difference within 360 degrees"""
+    a1 = a1 % 360
+    a2 = a2 % 360
+    return abs(a1) - abs(a2)