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# utils.py
import math
def distance_between_points(p1, p2):
# euclidean distance between two 3d points
return math.sqrt((p1[0]-p2[0])**2 + (p1[1]-p2[1])**2 + (p1[2]-p2[2])**2)
def angle_between_points(a, b, c):
# returns the angle ABC (in degrees) where B is the vertex
ab = (a[0]-b[0], a[1]-b[1], a[2]-b[2])
cb = (c[0]-b[0], c[1]-b[1], c[2]-b[2])
dot_product = ab[0]*cb[0] + ab[1]*cb[1] + ab[2]*cb[2]
mag_ab = math.sqrt(ab[0]**2 + ab[1]**2 + ab[2]**2)
mag_cb = math.sqrt(cb[0]**2 + cb[1]**2 + cb[2]**2)
if mag_ab * mag_cb == 0:
return 0
angle_rad = math.acos(dot_product / (mag_ab * mag_cb))
return math.degrees(angle_rad)
def is_finger_extended(landmarks, finger, direction=None):
# checks if a specific finger is extended based on joint angles
finger_joints = {
"thumb": [1, 2, 3, 4],
"index": [5, 6, 7, 8],
"middle": [9, 10, 11, 12],
"ring": [13, 14, 15, 16],
"pinky": [17, 18, 19, 20]
}
joints = finger_joints[finger]
angle = angle_between_points(landmarks[joints[0]], landmarks[joints[1]], landmarks[joints[2]])
extended = angle > 160 # straight finger
if direction == "up":
return extended and landmarks[joints[-1]][1] < landmarks[joints[0]][1]
elif direction == "down":
return extended and landmarks[joints[-1]][1] > landmarks[joints[0]][1]
return extended
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