mandeldragon_orbits.cpp File Reference

Mandeldragon orbits. More...

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Detailed Description

Mandeldragon 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.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation and/or other materials provided with the distribution.
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

• mandeldragon_orbits_XRANGE_omax.tiff Maximum iteration count for all orbits that hit the pixel
• mandeldragon_orbits_XRANGE_ohst.tiff Point histogram of exterior point orbits
• mandeldragon_orbits_XRANGE_ihst.tiff Point histogram of interior point orbits
• mandeldragon_orbits_XRANGE_color_METHOD.tiff Colorized using a combination of the above images
• mandeldragon_orbits_XRANGE_ohst_METHOD.tiff Colorized version of ohst

The color images may be created on the command line from the monochrome, data images. For example, we can combine images like this:

            magick \‍( mandeldragon_orbits_omax.tiff -evaluate Pow 0.8 \‍) \‍( mandeldragon_orbits_ohst.tiff -evaluate Pow 0.3 \‍) \‍( mandeldragon_orbits_ihst.tiff -evaluate Pow 0.8 \‍) -combine mandeldragon_orbits_838.png

We can colorize a single monochrome image with a color scheme like this:

            magick \‍( mandeldragon_orbits_ohst.tiff -evaluate Pow 0.5 \‍) ../docs/pics/cs/color_lut_docs_csPLYinferno_50.png -clut mandeldragon_orbits_csPLYinferno.png

Definition in file mandeldragon_orbits.cpp.