------------------------------------------------------
lines 7-46 of file: example/abs_normal/get_started.cpp
------------------------------------------------------

{xrst_begin abs_get_started.cpp}
{xrst_spell
   rclrcl
}

abs_normal Getting Started: Example and Test
############################################

Purpose
*******
Creates an :ref:`abs_normal<abs_normal_fun-name>`
representation :math:`g` for the function
:math:`f : \B{R}^3 \rightarrow \B{R}` defined by

.. math::

   f( x_0, x_1, x_2  ) = | x_0 + x_1 | + | x_1 + x_2 |

The corresponding
:ref:`abs_normal_fun@g` :math:`: \B{R}^5 \rightarrow \B{R}^3` is
given by

.. math::

   \begin{array}{rclrcl}
      g_0 ( x_0, x_1, x_2, u_0, u_1 ) & = & u_0 + u_1 & = & y_0 (x, u)
      \\
      g_1 ( x_0, x_1, x_2, u_0, u_1 ) & = & x_0 + x_1 & = & z_0 (x, u)
      \\
      g_1 ( x_0, x_1, x_2, u_0, u_1 ) & = & x_1 + x_2 & = & z_1 (x, u)
   \end{array}

Source
******
{xrst_literal
   // BEGIN C++
   // END C++
}

{xrst_end abs_get_started.cpp}