mandelbrot_orbits.cpp File Reference

Mandelbrot orbits. More...

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Detailed Description

Mandelbrot orbits.

Author

Mitch Richling https://www.mitchr.me

Standards

C++20

Copyright

Copyright (c) 1988-2015,2025, Mitchell Jay Richling https://www.mitchr.me All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
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3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Details

Explores the orbits of the iteration

mandelbrot_orbits_out_h.tiff  Point histogram of exterior point orbits
mandelbrot_orbits_in_h.tiff   Point histogram of interior point orbits
mandelbrot_orbits_dist.tiff   Maximum iteration count for all oribts that hit the pixel
mandelbrot_orbits_color       Colorized version using the above images as color channels after a power transform:

           magick \‍( mandelbrot_orbits_dst_h.tiff -evaluate Pow 0.8 \‍) \‍( mandelbrot_orbits_out_h.tiff -evaluate Pow 0.6 \‍) \‍( mandelbrot_orbits_in_h.tiff -evaluate Pow 0.8 \‍) -combine combined.jpg

Definition in file mandelbrot_orbits.cpp.