I use this function in radiosit.cpp:

/***************************************************************************
**
*
* FUNCTION  VGet()  -  Gets 2dimensional src_vec, converts it with
*                      z=sqrt(1-x*x-y*y) into 3dimensional dest_vec.
*
* INPUT
*
* OUTPUT
*
* RETURNS   Nothing
*
* AUTHOUR   Eli Jehoel
*
* DESCRIPTION
*
*  The radiosity rays have been precomputed. For each sample, dz is derived
*  from dx and dy. Ranges of dx and dy are (-1. to 1.), range of dz is
*  (0. to 1.)
*
*  There is no VNormalizing involved in this function in order to gain
speed.
*
* CHANGES
*
*   --- Jan 2002 : Creation.
*
****************************************************************************
**/
static void VGet(VECTOR dest_vec, DOUBLE_XY * src_vec)
{
  dest_vec[X] = src_vec->x;
  dest_vec[Y] = src_vec->y;
  dest_vec[Z] = sqrt(1. - pow(src_vec->x, 2.)-pow(src_vec->x, 2.));
}

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