# shadow_udf_1
# written by John Dannenhoffer

# tube 1 (along x-axis))
CYLINDER  -3.0   2.0   0.0  -1.0   2.0   0.0   0.5
CYLINDER  -3.0   2.0   0.0  -1.0   2.0   0.0   0.3
SUBTRACT

# find the properties of a projection in the z direction
UDPRIM    shadow
ASSERT    @@area    2.00    0.02
ASSERT    @@xcent  -2.00    0.02
ASSERT    @@ycent   2.00    0.02
ASSERT    @@ixx     0.1667  0.02
ASSERT    @@ixy     0.00    0.02
ASSERT    @@iyy     0.6667  0.02

# tube 2 (along z-axis)
CYLINDER   2.0   2.0  -1.0   2.0   2.0   1.0   0.5
CYLINDER   2.0   2.0  -1.0   2.0   2.0   1.0   0.3
SUBTRACT

# find the properties of a projection in the z direction
UDPRIM    shadow
ASSERT    @@area    0.5026  0.02
ASSERT    @@xcent   2.00    0.02
ASSERT    @@ycent   2.00    0.02
ASSERT    @@ixx     0.0427  0.02
ASSERT    @@ixy     0.00    0.02
ASSERT    @@iyy     0.0427  0.02

# sphere
SPHERE    -2.0  -2.0   0.0   1.0

# find the properties of a projection in the z direction
UDPRIM    shadow
ASSERT    @@area    3.1416  0.02
ASSERT    @@xcent  -2.00    0.02
ASSERT    @@ycent  -2.00    0.02
ASSERT    @@ixx     0.7854  0.02
ASSERT    @@ixy     0.00    0.02
ASSERT    @@iyy     0.7854  0.02

# diamond with groove
BOX        1.0  -3.0  -1.0   2.0   2.0   2.0
ROTATEZ   45.00  2.0  -2.0
CYLINDER   0.0  -2.0   1.0   4.0  -2.0   1.0   1.0
SUBTRACT
CYLINDER   2.0  -4.0  -1.0   2.0   0.0  -1.0   1.0
SUBTRACT

# find the properties of a projection in the z direction
UDPRIM    shadow
ASSERT    @@area    4.00    0.02
ASSERT    @@xcent   2.00    0.02
ASSERT    @@ycent  -2.00    0.02
ASSERT    @@ixx     1.3333  0.02
ASSERT    @@ixy     0.00    0.02
ASSERT    @@iyy     1.3333  0.02

END