>> hypersphere_surface_test
01-Feb-2019 13:46:40

HYPERSPHERE_SURFACE_TEST:
  MATLAB version
  Test HYPERSPHERE_SURFACE.

INTERIOR_POINT_CHARACTERISTIC_TEST
  INTERIOR_POINT_CHARACTERISTIC seeks a point "inside" an object
  for which a characteristic function has been provided.
  We also assume that a hyperrectangle has been specified
  which contains the search region.

  Interior point:

     1:     0.126987
     2:     0.913376

EXTERIOR_POINT_CHARACTERISTIC_TEST
  EXTERIOR_POINT_CHARACTERISTIC seeks a point "outside" an object
  for which a characteristic function has been provided.
  We assume that we have been given a base point X0, which
  is an interior point, that is, F(X0) = 1.
  We also assume we have been given a direction, specified
  by the vector THETA, and measured from X0, along which
  we are to search for the exterior point.

  Interior point:

     1:     0.644318
     2:     0.378609

  Exterior point:

     1:     0.644318
     2:      1.37861

CIRCLE_PLOTS:
  For a 2D circle defined by a 0/1 characteristic function,
  plot the surface, and R(Theta),
  using a centered point, and then an offcentered point.

  Created plotfile "circle_centered_surface.png".
  Created plotfile "circle_centered_plot.png".
  Created plotfile "circle_offcentered_surface.png".
  Created plotfile "circle_offcentered_plot.png".

TRIANGLE_PLOTS:
  For a 2D triangle defined by a 0/1 characteristic function,
  plot the surface, and R(Theta),
  using a centered point, and then an offcentered point.

  Created plotfile "triangle_centered_surface.png".
  Created plotfile "triangle_centered_plot.png".
  Created plotfile "triangle_offcentered_surface.png".
  Created plotfile "triangle_offcentered_plot.png".

SPHERE_PLOTS:
  For a 3D sphere defined by a 0/1 characteristic function,
  plot the surface, and R(Theta),
  using a centered point, and then an offcentered point.

  Created plotfile "sphere_centered_surface.png".
  Created plotfile "sphere_centered_plot.png".
  Created plotfile "sphere_offcentered_surface.png".
  Created plotfile "sphere_offcentered_plot.png".

  Note variation in R for the offcenter case:
  Min R = 0.1227
  Max R = 1.87448

CUBE_PLOTS:
  For a 3D cube defined by a 0/1 characteristic function,
  plot the surface, and R(Theta),
  using a centered point, and then an offcentered point.

  Created plotfile "cube_centered_surface.png".
  Created plotfile "cube_centered_plot.png".
  Created plotfile "cube_offcentered_surface.png".
  Created plotfile "cube_offcentered_plot.png".

  Note variation in R for the offcenter case:
  Min R = 0.3
  Max R = 2.49494

HYPERSPHERE_SURFACE_TEST:
  Normal end of execution.

01-Feb-2019 13:46:51
>>