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来自「speech signal process tools」· 代码 · 共 199 行

MBROT(1-ESPS)                                                1997



NNNNAAAAMMMMEEEE
     mbrot - compute elements of Mandelbrot set

SSSSYYYYNNNNOOOOPPPPSSSSIIIISSSS
     mmmmbbbbrrrrooootttt [ ----bbbb _b_o_t_t_o_m__e_d_g_e ] [ ----tttt _t_o_p__e_d_g_e ] [ ----llll _l_e_f_t__e_d_g_e ] [
     ----rrrr _r_i_g_h_t__e_d_g_e ] [ ----cccc _c_o_n_f_i_d_e_n_c_e ] [ ----gggg _g_r_i_d__p_t_s ] [ ----CCCC ] [ ----
     xxxx ] _o_u_t_p_u_t__f_i_l_e

DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN
     _M_b_r_o_t computes points that are in the Mandelbrot set.   This
     is  the set of all points _Z in the complex plane such that C
     = C * C + _Z stays bounded as it is recursively repeated.

     _M_b_r_o_t produces an ESPS feature file, FEA(5-ESPS), that  con-
     tains  two  fields:  _X__p_o_s  (  type  DOUBLE) and _m_b_r_o_t (type
     SHORT).  _X__p_o_s is a scalar variable and is the x-axis  coor-
     dinate  of  the  vertical  data  vector  stored in the _m_b_r_o_t
     field.  _m_b_r_o_t is a vector of size _g_r_i_d__p_t_s + 1 (see ----gggg); the
     zeroth  element  of the _m_b_r_o_t field has y-axis coordinate of
     _b_o_t_t_o_m__e_d_g_e (see ----bbbb).  If " - "  is  supplied  in  place  of
     _o_u_t_p_u_t__f_i_l_e, then standard output is used.

OOOOPPPPTTTTIIIIOOOONNNNSSSS
     The following options are supported:

     ----bbbb _b_o_t_t_o_m__e_d_g_e [-1.]
          Specifies the lower edge of the region over  which  the
          Mandelbrot set is computed.

     ----tttt _t_o_p__e_d_g_e [1.]
          Specifes the upper edge of the region  over  which  the
          Mandelbrot set is computed.

     ----llll _l_e_f_t__e_d_g_e [-1.9]
          Specifies the left edge of the region  over  which  the
          Mandelbrot set is computed.

     ----rrrr _r_i_g_h_t__e_d_g_e [.6]
          Specifies the right edge of the region over  which  the
          Mandelbrot set is computed.

     ----cccc _c_o_n_f_i_d_e_n_c_e [342]
          Specifies the  number  of  iterations  used  to  decide
          whether  the point is in the set.  That is, if after ----cccc
          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 _c_o_n_f_i_d_e_n_c_e factor, the sharper the
          set boundaries become (and often the  more  interesting
          the image looks).

     ----gggg _g_r_i_d__p_t_s [100]



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MBROT(1-ESPS)                                                1997



          Specifies the number of grid cells to use  in  dividing
          the region of interest. Often, the larger the number of
          _g_r_i_d__p_t_s, the more interesting the image looks.

     ----CCCC    By default, _m_b_r_o_t returns 0 if the point is not in the
          set  and 1 if the point is in the set.  By specifying ----
          CCCC, 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 _c_o_n_f_i_d_e_n_c_e
          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 _x_w_a_v_e_s colormaps,  make
          sure that the ----cccc specified value is an integer multiple
          of 114.

     ----xxxx    If specified, debug information is printed to stderr.

EEEESSSSPPPPSSSS PPPPAAAARRRRAAAAMMMMEEEETTTTEEEERRRRSSSS
     The parameter file is not processed.

EEEESSSSPPPPSSSS CCCCOOOOMMMMMMMMOOOONNNN
     ESPS Common is not read by _m_b_r_o_t.

EEEESSSSPPPPSSSS HHHHEEEEAAAADDDDEEEERRRRSSSS
     In addition to the usual header values  for  FEA  (5 - ESPS)
     files,  _m_b_r_o_t  writes  the  following  values:  _n_u_m__g_r_i_d__p_t_s
     (LONG),   _n_u_m__i_t_e_r_a_t_i_o_n_s   (LONG),    _l_e_f_t__e_d_g_e    (DOUBLE),
     _r_i_g_h_t__e_d_g_e  (DOUBLE),  _b_o_t_t_o_m__e_d_g_e  (DOUBLE), _t_o_p__e_d_g_e (DOU-
     BLE), _X__i_n_c (DOUBLE), _Y__i_n_c (DOUBLE),

FFFFUUUUTTTTUUUURRRREEEE CCCCHHHHAAAANNNNGGGGEEEESSSS
     Parameter file processing will be added.

EEEEXXXXAAAAMMMMPPPPLLLLEEEESSSS
     By default, _m_b_r_o_t (1-ESPS) 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
     _x_w_a_v_e_s to view the FEA_SPEC (5-ESPS) file.

     In general, the more interesting images  are  found  on  the
     edges of the set.



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MBROT(1-ESPS)                                                1997



SSSSEEEEEEEE AAAALLLLSSSSOOOO
     _i_m_a_g_e (1-ESPS), _x_w_a_v_e_s (1-ESPS), _t_o_f_s_p_e_c (1-ESPS)

WWWWAAAARRRRNNNNIIIINNNNGGGGSSSS AAAANNNNDDDD DDDDIIIIAAAAGGGGNNNNOOOOSSSSTTTTIIIICCCCSSSS
BBBBUUUUGGGGSSSS
     None known.

RRRREEEEFFFFEEEERRRREEEENNNNCCCCEEEESSSS
     James Gleick, _C_H_A_O_S,  New York, PENGUIN BOOKS, 1987

AAAAUUUUTTTTHHHHOOOORRRR
     Program and manual page by David Burton











































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