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<HTML><BODY><PRE></PRE><H2>NAME</H2><PRE> mbrot - compute elements of Mandelbrot set</PRE><H2>SYNOPSIS</H2><PRE> <STRONG>mbrot</STRONG> [ <STRONG>-b</STRONG> <EM>bottom</EM>_<EM>edge</EM> ] [ <STRONG>-t</STRONG> <EM>top</EM>_<EM>edge</EM> ] [ <STRONG>-l</STRONG> <EM>left</EM>_<EM>edge</EM> ] [ <STRONG>-r</STRONG> <EM>right</EM>_<EM>edge</EM> ] [ <STRONG>-c</STRONG> <EM>confidence</EM> ] [ <STRONG>-g</STRONG> <EM>grid</EM>_<EM>pts</EM> ] [ <STRONG>-C</STRONG> ] [ <STRONG>-</STRONG> <STRONG>x</STRONG> ] <EM>output</EM>_<EM>file</EM></PRE><H2>DESCRIPTION</H2><PRE> <EM>Mbrot</EM> computes points that are in the Mandelbrot set. This is the set of all points <EM>Z</EM> in the complex plane such that C = C * C + <EM>Z</EM> stays bounded as it is recursively repeated. <EM>Mbrot</EM> produces an ESPS feature file, <STRONG><A HREF="../man5.html/FEA.5.html">FEA(5-ESPS)</A></STRONG>, that con- tains two fields: <EM>X</EM>_<EM>pos</EM> ( type DOUBLE) and <EM>mbrot</EM> (type SHORT). <EM>X</EM>_<EM>pos</EM> is a scalar variable and is the x-axis coor- dinate of the vertical data vector stored in the <EM>mbrot</EM> field. <EM>mbrot</EM> is a vector of size <EM>grid</EM>_<EM>pts</EM> + 1 (see <STRONG>-g</STRONG>); the zeroth element of the <EM>mbrot</EM> field has y-axis coordinate of <EM>bottom</EM>_<EM>edge</EM> (see <STRONG>-b</STRONG>). If " - " is supplied in place of <EM>output</EM>_<EM>file</EM>, then standard output is used.</PRE><H2>OPTIONS</H2><PRE> The following options are supported: <STRONG>-b</STRONG> <EM>bottom</EM>_<EM>edge</EM> [-1.] Specifies the lower edge of the region over which the Mandelbrot set is computed. <STRONG>-t</STRONG> <EM>top</EM>_<EM>edge</EM> [1.] Specifes the upper edge of the region over which the Mandelbrot set is computed. <STRONG>-l</STRONG> <EM>left</EM>_<EM>edge</EM> [-1.9] Specifies the left edge of the region over which the Mandelbrot set is computed. <STRONG>-r</STRONG> <EM>right</EM>_<EM>edge</EM> [.6] Specifies the right edge of the region over which the Mandelbrot set is computed. <STRONG>-c</STRONG> <EM>confidence</EM> [342] Specifies the number of iterations used to decide whether the point is in the set. That is, if after <STRONG>-c</STRONG> specified iterations of the recursion the point is still bounded (real and imaginary parts less than 2 in magnitude), then the point is considered to be in the set. The larger the <EM>confidence</EM> factor, the sharper the set boundaries become (and often the more interesting the image looks). <STRONG>-g</STRONG> <EM>grid</EM>_<EM>pts</EM> [100] Specifies the number of grid cells to use in dividing the region of interest. Often, the larger the number of <EM>grid</EM>_<EM>pts</EM>, the more interesting the image looks. <STRONG>-C</STRONG> By default, <EM>mbrot</EM> returns 0 if the point is not in the set and 1 if the point is in the set. By specifying <STRONG>-</STRONG> <STRONG>C</STRONG>, each point is assigned a value between -64 and 50. Points in the set get 50. Proportionally lower values are given to all other points based on how close there are to being in the set. For example, if the <EM>confidence</EM> factor is 114 and the point falls out of the set after 90 iterations, the value given this point is 26 ( = 90 - 64 ). To make full use of the <EM>xwaves</EM> colormaps, make sure that the <STRONG>-c</STRONG> specified value is an integer multiple of 114. <STRONG>-x</STRONG> If specified, debug information is printed to stderr.</PRE><H2>ESPS PARAMETERS</H2><PRE> The parameter file is not processed.</PRE><H2>ESPS COMMON</H2><PRE> ESPS Common is not read by <EM>mbrot</EM>.</PRE><H2>ESPS HEADERS</H2><PRE> In addition to the usual header values for <STRONG><A HREF="../man5.html/FEA.5.html">FEA (5 - ESPS)</A></STRONG> files, <EM>mbrot</EM> writes the following values: <EM>num</EM>_<EM>grid</EM>_<EM>pts</EM> (LONG), <EM>num</EM>_<EM>iterations</EM> (LONG), <EM>left</EM>_<EM>edge</EM> (DOUBLE), <EM>right</EM>_<EM>edge</EM> (DOUBLE), <EM>bottom</EM>_<EM>edge</EM> (DOUBLE), <EM>top</EM>_<EM>edge</EM> (DOU- BLE), <EM>X</EM>_<EM>inc</EM> (DOUBLE), <EM>Y</EM>_<EM>inc</EM> (DOUBLE),</PRE><H2>FUTURE CHANGES</H2><PRE> Parameter file processing will be added.</PRE><H2>EXAMPLES</H2><PRE> By default, <STRONG><A HREF="../man1.html/mbrot.1.html">mbrot (1-ESPS)</A></STRONG> produces the classical fuzzy bug. Try the following: %mbrot - | image -embrot -S500:400 - For a more interesting display, try %mbrot -C -l-1.254 -r-1.2536 -b.0234 -t.0238 - g800 - c798 - | tofspec -fmbrot - mbrot.fspec& This will take a while to complete, but when it is done use <EM>xwaves</EM> to view the <STRONG><A HREF="../man5.html/FEA_SPEC.5.html">FEA_SPEC (5-ESPS)</A></STRONG> file. In general, the more interesting images are found on the edges of the set.</PRE><H2>SEE ALSO</H2><PRE> <STRONG><A HREF="../man1.html/image.1.html">image (1-ESPS)</A></STRONG>, <STRONG><A HREF="../man1.html/xwaves.1.html">xwaves (1-ESPS)</A></STRONG>, <STRONG><A HREF="../man1.html/tofspec.1.html">tofspec (1-ESPS)</A></STRONG></PRE><H2>WARNINGS AND DIAGNOSTICS</H2><PRE></PRE><H2>BUGS</H2><PRE> None known.</PRE><H2>REFERENCES</H2><PRE> James Gleick, <EM>CHAOS</EM>, New York, PENGUIN BOOKS, 1987</PRE><H2>AUTHOR</H2><PRE> Program and manual page by David Burton</PRE></BODY></HTML>⌨️ 快捷键说明
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