performance_with_large_surface.cpp File Reference

Stress test with a large surface object. More...

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Detailed Description

Stress test with a large surface object.

Author

Mitch Richling http://www.mitchr.me/

Date

2024-07-23

Standards

C++23

Copyright

Copyright (c) 2024, Mitchell Jay Richling http://www.mitchr.me/ All rights reserved.

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Details

Just a nice parametric surface without any weirdness. Some things demonstrated:

• How to time various operations.
  • Try with a large mesh (use a 9 in refine_grid).
  • Try reducing the number of data variables stored in the cell complex
  • Try removing the normal vector from the output
  • Try both MRccT5 & MRccF5 for cc_t
• How to include a synthetic value that can be used for color mapping – \( c(u,v) \) can be used to render stripes on the surface.
• How to compute a normal to a parametric surface. If the surface is defined by

  \[ \vec{f}(u,v)=(x(u,v), y(u,v), z(u,v)) \]

  Then the normal vector is given by:

  \[ \vec{n}=\frac{\partial \vec{f}}{\partial u}\times\frac{\partial \vec{f}}{\partial v} \]

  Note that \( \frac{\partial \vec{f}}{\partial u} = \left[ \frac{\partial x}{\partial u}, \frac{\partial y}{\partial u}, \frac{\partial z}{\partial u} \right] \) & \( \frac{\partial \vec{f}}{\partial v} = \left[ \frac{\partial x}{\partial v}, \frac{\partial y}{\partial v}, \frac{\partial z}{\partial v} \right] \)
• How to include a normal in the cell complex

Definition in file performance_with_large_surface.cpp.