# tip_angles

## `tip_angles(V, F, use_small_angle_approx=True)`

Computes the angles formed by each vertex within its respective face (the tip angle).

Parameters:

Name Type Description Default
`V` `(n,d) numpy array`

vertex list of a triangle mesh

required
`F` `(m,3) numpy int array`

face index list of a triangle mesh

required
`use_small_angle_approx` `bool, optional (default: True)`

If True, uses a different, more more stable formula for small angles.

`True`

Returns:

Type Description
`α : (m,3) numpy array`

tip angles for each vertex referenced in `F`

Examples:

``````from gpytoolbox import regular_square_mesh, tip_angles
v, f = regular_square_mesh(10)
alpha = tip_angles(v,f)
``````
Source code in `src/gpytoolbox/tip_angles.py`
 ``` 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35``` ``````def tip_angles(V, F, use_small_angle_approx=True): """Computes the angles formed by each vertex within its respective face (the tip angle). Parameters ---------- V : (n,d) numpy array vertex list of a triangle mesh F : (m,3) numpy int array face index list of a triangle mesh use_small_angle_approx : bool, optional (default: True) If True, uses a different, more more stable formula for small angles. Returns ------- α : (m,3) numpy array tip angles for each vertex referenced in `F` Examples -------- ```python from gpytoolbox import regular_square_mesh, tip_angles v, f = regular_square_mesh(10) alpha = tip_angles(v,f) ``` """ l_sq = halfedge_lengths_squared(V,F) return tip_angles_intrinsic(l_sq,F,use_small_angle_approx) ``````