X-Git-Url: http://git.hungrycats.org/cgi-bin/gitweb.cgi?a=blobdiff_plain;f=local%2Fman%2Fcat.1%2Fxlyap.1;fp=local%2Fman%2Fcat.1%2Fxlyap.1;h=b550d07290c7d3d83452e4060a8c7a3625b064a4;hb=41fae2ad67bc37e31c4d967bae81e4f3f50fa55a;hp=0000000000000000000000000000000000000000;hpb=278c59e14c53fd412b734e699bd4f314f766f804;p=xscreensaver diff --git a/local/man/cat.1/xlyap.1 b/local/man/cat.1/xlyap.1 new file mode 100644 index 00000000..b550d072 --- /dev/null +++ b/local/man/cat.1/xlyap.1 @@ -0,0 +1,264 @@ + + + +XLYAP(6X) XLYAP(6X) + + +NNAAMMEE + xlyap - display an array of Lyapunov exponents graphically + +SSYYNNOOPPSSIISS + _x_l_y_a_p [-BLps][-W width][-H height][-o filename][-a _n ] [-b + _n ] [-w _n ] [-h _n ] [-i xstart] [-M _n ] [-R _p ] + [-S _n ] [-D _n ] [-F string][-f string][-r _n ] [-O + _n ] [-C _n ] [-c _n ] [-m _n ] [-x xpos] [-y ypos] + +DDEESSCCRRIIPPTTIIOONN + _x_l_y_a_p generates and graphically displays an array of Lya- + punov exponents for a variety of iterated periodically + forced non-linear maps of the unit interval. + +OOPPTTIIOONNSS + -random A good choice for use with xscreensaver: picks + random parameters from a built-in list. + + -C _n Specifies the minimum color index to be used for + negative exponents + + -D _n Specifies the "dwell" or number of iterations over + which to average in order to calculate the Lya- + punov exponent. Default is 400. + + -B Causes the stop, go, spin and quit buttons to be + displayed. + + -H _n Specifies the height of the window. Default is + 256. + + -L Indicates use log(x) + log(y) rather than log(xy). + + -M _r Specifies the real value to compare exponent val- + ues to for indexing into a color wheel. The + default value is 1.0. + + -O _n Specifies the minimum color index to be used for + positive exponents + + -R _p Specifies pseudo-random forcing with probability _p + of using parameter value 'a'. + + -S _n Specifies the "settle" or number of iterations + prior to the beginning of the calculation of the + Lyapunov exponent. Default is 200. + + -W _n Specifies the width of the window. Default is 256. + + -a _r Specifies the real value to use as the minimum + parameter value of the horizontal axis. Default is + 3.0 for the logistic map. + + -b _n Specifies the real value to use as the minimum + + + + 1 + + + + + +XLYAP(6X) XLYAP(6X) + + + parameter value of the vertical axis. Default is + 3.0 for the logistic map. + + -c _n Selects one of six different color wheels to use. + The default color wheel is a rainbow palette. + + -F _1_0_1_0_1_0_1_0 + Specifies the "Function" forcing function to use. + The example above would alternate between iterat- + ing the circle and logistic maps. An argument of + "-F 2323" would alternate between left and right + logistic maps. The default is to only use the sin- + gle specified map (see the description of -m). + + -f _a_b_b_a_b_a_a_b + Specifies the forcing function to use. The default + is to alternate between the "a" parameter and the + "b" parameter. + + -h _r Specifies the real value to be used as the range + over which the vertical parameter values vary. The + default is 1.0. + + -i _r Specifies the real value of the initial condition + to use. Default is 0.05. + + -m _n Selects between available non-linear maps of the + unit interval. A value of 0 specifies the logistic + map. A value of 1, the circle map. A value of 2, + the left-logistic. A value of 3, the right-logis- + tic. A value of 4, the double-logistic. The + default is 0, the logistic map. + + -o _f_i_l_e_n_a_m_e + Specifies the output filename to be used. If the + -o option is given, this file will automatically + be written out at the completion of the drawing. + If it is not specified, a default filename of + lyap.out is used and only written if the 'f' or + 'F' keys are pressed during a run. The format of + the output file is PPM for color and PGM for + monochrom. The parameters used to calculate the + picture are included as comments at the beginning + of the output file. + + -p Switches color indices for negative and positive + exponents. Generally, causes negative exponents to + be displayed in more detail while darkening and + narrowing the color range for positive exponents. + This can be toggled during runtime by pressing the + 'p' key. + + -r _n Specifies the maximum rgb value to be used. + Default is 35000. + + + + 2 + + + + + +XLYAP(6X) XLYAP(6X) + + + -s _n Specifies the length of the color wheel spin. + + -u Produces a usage message. + + -v Prints out the various values to be used and + exits. + + -w _r Specifies the real value to be used as the range + over which the horizontal parameter values vary. + The default is 1.0. + + -x _n Specifies the x screen coordinate of the window + (default is 256). + + -y _n Specifies the y screen coordinate of the window + (default is 256). + + + +NNOOTTEESS + During display, pressing any mouse button allows you to + select the area to be investigated with the mouse. The + upper left hand corner of the desired area is the location + of the cursor when the button is pressed. The lower right + hand corner is specified by the cursor when the button is + released. + + + Use of the keys _b_B_e_E_f_F_k_K_j_J_m_n_r_R_s_S_w_W_x_X_q_Q indicates: + + (<) Halve dwell value. + (>) Double dwell value. + ([) Halve settle value. + (]) Double settle value. + (B or b) Toggle button display on/off + (E or e) Recalculate the indices into the color wheel + using a different method + (F or f) Save current screen to ouput file (not yet + implemented) + (H or h or ?) Display brief help message + (i) Decrement the interval between stripes for the + striped color map. + (I) Increment the interval between stripes for the + striped color map. + (K) Decrease value exponents are compared against by + 0.05. + (J) Increase value exponents are compared against by + 0.05. + (M) Decrease value exponents are compared against by + 0.005. + (N) Increase value exponents are compared against by + 0.005. + (m) Increment the map index, changing the map to be + iterated. + + + + 3 + + + + + +XLYAP(6X) XLYAP(6X) + + + (P or p) Toggle positive/negative exponent display. + (r) Redraw the window using previously calculated expo- + nents. + (R) Redraw the window using the newly set dwell and/or + settle values. + (S) Spin the color wheel + (s) Halve the length of the spin and spin the color + wheel + (u) Go up to the window just prior to the most recent + zoom. + (U) Go all the way up to the original window. + (V or v) Display values of various parameters currently + in use + (W or w) Use next color map. + (X or x) Clear window + (Q or q) quit + + + +AAUUTTHHOORR + Ronald Joe Record + The Santa Cruz Operation + P.O. Box 1900 + Santa Cruz, CA 95061 + rr@sco.com + + + +AACCKKNNOOWWLLEEDDGGEEMMEENNTTSS + The algorithm was taken from the September 1991 Scientific + American article by A. K. Dewdney who gives credit to + Mario Markus of the Max Planck Institute for its creation. + Additional information and ideas were gleaned from the + discussion on alt.fractals involving Stephen Hall, Ed + Kubaitis, Dave Platt and Baback Moghaddam. Assistance with + colormaps and spinning color wheels and X was gleaned from + Hiram Clawson. Rubber banding code was adapted from an + existing Mandelbrot program written by Stacey Campbell. + + Viciously hacked for xscreensaver by Jamie Zawinski, + 20-Nov-97. + + + + + + + + + + + + + + + + + 4 + +