warp.sample\_triangle
=====================

.. function:: warp._src.lang.sample_triangle(state: uint32) -> vec2f

   .. hlist::
      :columns: 8

      * Kernel
      * Python

   Uniformly sample a point in a triangle, returned as barycentric coordinates.
   
   In a kernel, advances ``state`` in place; called from the Python scope, it does
   not modify ``state``, so repeated calls with the same ``state`` return the same
   point (see :func:`rand_init`). The third coordinate is ``w = 1 - u - v``; recover
   a point on a triangle with vertices ``a``, ``b``, ``c`` as ``u*a + v*b + w*c``:
   
   .. code-block:: python
   
       @wp.kernel
       def points_in_triangle(
           seed: int, a: wp.vec3, b: wp.vec3, c: wp.vec3, out: wp.array[wp.vec3]
       ):
           i = wp.tid()
           rng = wp.rand_init(seed, i)
           bary = wp.sample_triangle(rng)
           w = 1.0 - bary[0] - bary[1]
           out[i] = bary[0] * a + bary[1] * b + w * c
   
   :returns: The barycentric coordinates ``(u, v)`` of the sampled point.