App-GUI-Juliagraph

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NAME
    App::GUI::Juliagraph - drawing Mandelbrot-, Julia fractals and more

SYNOPSIS
    1.  read this POD

    2.  start the program in the shell: > "juliagraph"

    3.  move knobs and observe how preview sketch reacts til you got an
        interesting image

    4.  push "Draw" (below drawing board) or Ctrl+D or *Draw* in *Image*
        menu, or middle click of the drawing board, to produce full
        resolution image

    5.  choose "Save" in Image menu (or Ctrl+S) to store image in a PNG /
        JPEG / SVG file

    6.  choose "Write" in settings menu (Ctrl+W) to save settings into an
        INI file for tweaking them later

    After first use of the program, a config file *~/.config/juliagraph*
    will be created in you home directory. It contains mainly stored colors,
    color sets and dirs where to load and store setting files. You may also
    change it by editor or delet it to reset configs to default.

DESCRIPTION
    Mandelbrot (first two pictures) and Julia fractals (four after that) are
    just mathematical diagrams, showing you how iterating the equation
    "z_n+1 = z_n ** 2 + C" behaves on the complex plane. Our running
    variable gets an initial value and gets squared each time, plus an
    constant is added, also each time. Mandelbrot mean this constant are the
    pixel coordinates, Julia means the coordinates are the starting value.
    And the pixel color just contains the information how many iterations
    (times) it took until z got greater than our bailout value.

    This program has additional capabilities/options:

    *   iteration formula with up to four monomials

    *   choosable exponent and factor for each of them

    *   choosable stop value and stop metric

    *   free selection of colors

    *   many option to map th colors onto iteration result values

GUI
    The general layout is very simple: the settings (which define the
    fractal) are on the right and the drawing board is left. The settings
    are devided into several thematic tabs. Every change of the settings
    triggers a redraw of the fractal, but only in a blurry preview mode, so
    it can be fast enough. To get a high resolution rendering, press
    "Ctrl"+"D" or push the draw button down left center or click at the
    drawing board with a middle mouse click. (The image menu has also a draw
    item.) With a full rendering the progress bar beside the draw button
    becomes colorful. It is white in preview mode.

    Please mind the tool tips - short help texts which appear if the mouse
    stands still over a button. Also helpful are messages in the status bar
    at the bottom that appear while browsing the menu. Please take also
    special note at the *mouse* section since you can browse the fractals by
    mouse.

  Constraints
    The controls on the first tab panel are the settings that define most of
    the rules by which the equation is computed. The page is divided from
    top to bottom into 5 sections that will be discussed in that order.

    The first section allows you to set the fractal type: *Mandelbrot*,
    *Julia*, of something in between (option *Any*). If you choose
    *Mandelbrot*, the sections 3 and 4 get blurred and set to zero, since
    the play no role in computing this type of fractal. If chosen *Julia*
    only section 4 is blurred and reset. On the right side of this sections
    you can observe, how the checkboxes dance, when switching the fractal
    type. There you can see that Mandelbrot means the pixel coordinates are
    the constant added at each iteration. And *Julia* means that coordinates
    turn to starting values, but you can choose the constant to get
    different shapes. But these checkboxes can only reached, when type *Any*
    is chosen. Only then you can select or deselect both options or even
    choose a third one, that pixel coordinates can become a monomial factor.

    The second section contains the information that select the visible part
    the image. These are zoom factor (its higher when you zoom in) and the
    coordinates that are at the center of the visible section. Chenge them
    to scroll left, right, up or down. Each of these values are controlled
    by a slider step widget. It allows you to change the value in two
    different ways. Either you type in the numbers directly (click first at
    the widget). Or you change the value by clicking the plus and minus
    buttons. The slider beside them determines the size of the value change,
    done by the buttons. The buttons on the most right just reset the values
    in case you got lost.

    The third section is about the mentioned constant number, added to "z"
    at each iteration. A is the real part corresponding to the X-axis and B
    the imaginary part corresponding to Y. In same manner, section four is
    holding the starting value. To both of these values the coordinates can
    be added. Just click the checkbox in the upper right corner. If chosen



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