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Parameters.md
712
Parameters.md
@ -1774,6 +1774,718 @@ updated gradually.
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```
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### 6 July 21 - Working the angle - 108 degrees, or why regular pentagons cut wave fronts into pieces ###
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**Program:** Variant of `particle_billiard.c`
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**Initial condition in function `animation()`:** `init_drop_config(-1.0, 1.0, -0.65*PID, -0.4*PID, configs); `
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
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// #define XMIN -1.8
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// #define XMAX 1.8 /* x interval */
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// #define YMIN -0.91
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// #define YMAX 1.115 /* y interval for 9/16 aspect ratio */
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/* Choice of the billiard table */
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#define B_DOMAIN 12 /* choice of domain shape */
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#define D_RECTANGLE 0 /* rectangular domain */
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#define D_ELLIPSE 1 /* elliptical domain */
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#define D_STADIUM 2 /* stadium-shaped domain */
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#define D_SINAI 3 /* Sinai billiard */
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#define D_DIAMOND 4 /* diamond-shaped billiard */
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#define D_TRIANGLE 5 /* triangular billiard */
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#define D_ANNULUS 7 /* annulus */
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#define D_POLYGON 8 /* polygon */
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#define D_REULEAUX 9 /* Reuleaux and star shapes */
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#define D_FLOWER 10 /* Bunimovich flower */
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#define D_ALT_REU 11 /* alternating between star and Reuleaux */
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#define D_ANGLE 12 /* angular sector */
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#define LAMBDA 0.6 /* parameter controlling shape of billiard */
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#define MU 0.1 /* second parameter controlling shape of billiard */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
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#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
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#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define DEBUG 0 /* draw trajectories, for debugging purposes */
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/* Simulation parameters */
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#define NPART 500 /* number of particles */
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#define NPARTMAX 100000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 650 /* number of frames of movie */
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#define TIME 1000 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.000006 /* integration step */
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#define NVID 150 /* number of iterations between images displayed on screen */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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/* Colors and other graphical parameters */
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#define NCOLORS 6 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.04 /* length of velocity vectors */
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#define BILLIARD_WIDTH 3 /* width of billiard */
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#define PARTICLE_WIDTH 2 /* width of particles */
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#define FRONT_WIDTH 3 /* width of wave front */
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#define BLACK 1 /* set to 1 for black background */
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#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
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#define OUTER_COLOR 270.0 /* color outside billiard */
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#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1000 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 5 July 21 - Waves colliding with a hexagonal grid ###
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**Program:** `wave_billiard.c`
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**Initial condition in function `animation()`:** `init_wave(-1.5, 0.0, phi, psi, phi_tmp, psi_tmp, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define NX 1280 /* number of grid points on x axis */
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#define NY 720 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define JULIA_SCALE 1.1 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 13 /* choice of domain shape */
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#define D_RECTANGLE 0 /* rectangular domain */
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#define D_ELLIPSE 1 /* elliptical domain */
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#define D_STADIUM 2 /* stadium-shaped domain */
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#define D_SINAI 3 /* Sinai billiard */
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#define D_DIAMOND 4 /* diamond-shaped billiard */
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#define D_TRIANGLE 5 /* triangular billiard */
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#define D_FLAT 6 /* flat interface */
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#define D_ANNULUS 7 /* annulus */
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#define D_POLYGON 8 /* polygon */
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#define D_YOUNG 9 /* Young diffraction slits */
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#define D_GRATING 10 /* diffraction grating */
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#define D_EHRENFEST 11 /* Ehrenfest urn type geometry */
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#define D_DISK_GRID 12 /* grid of disks */
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#define D_DISK_HEX 13 /* haxagonl grid of disks */
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#define D_MENGER 15 /* Menger-Sierpinski carpet */
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#define D_JULIA_INT 16 /* interior of Julia set */
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/* Billiard tables for heat equation */
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#define D_ANNULUS_HEATED 21 /* annulus with different temperatures */
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#define D_MENGER_HEATED 22 /* Menger gasket with different temperatures */
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#define D_MENGER_H_OPEN 23 /* Menger gasket with different temperatures and larger domain */
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#define D_MANDELBROT 24 /* Mandelbrot set */
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#define D_JULIA 25 /* Julia set */
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#define D_MANDELBROT_CIRCLE 26 /* Mandelbrot set with circular conductor */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 0.025 /* parameter controlling the dimensions of domain */
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#define NPOLY 8 /* number of sides of polygon */
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#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 4 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 15 /* number of grid point for grid of disks */
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#define NGRIDY 20 /* number of grid point for grid of disks */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard below */
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/* Physical parameters of wave equation */
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#define OMEGA 0.9 /* frequency of periodic excitation */
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#define COURANT 0.01 /* Courant number */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
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/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
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/* The physical damping coefficient is given by GAMMA/(DT)^2 */
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/* Increasing COURANT speeds up the simulation, but decreases accuracy */
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/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
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/* Boundary conditions */
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#define B_COND 2
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#define BC_DIRICHLET 0 /* Dirichlet boundary conditions */
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#define BC_PERIODIC 1 /* periodic boundary conditions */
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#define BC_ABSORBING 2 /* absorbing boundary conditions (beta version) */
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/* For debugging purposes only */
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#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
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#define VMAX 10.0 /* max value of wave amplitude */
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/* Parameters for length and speed of simulation */
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#define NSTEPS 8000 /* number of frames of movie */
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#define NVID 25 /* number of iterations between images displayed on screen */
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#define NSEG 100 /* number of segments of boundary */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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/* Plot type */
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#define PLOT 0
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#define P_AMPLITUDE 0 /* plot amplitude of wave */
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#define P_ENERGY 1 /* plot energy of wave */
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/* Color schemes */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 1 /* choice of color scheme */
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#define C_LUM 0 /* color scheme modifies luminosity (with slow drift of hue) */
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#define C_HUE 1 /* color scheme modifies hue */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -240.0 /* amplitude of variation of hue for color scheme C_HUE */
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/* Basic math */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 4 July 21 - A "billiard" with a 1080 degrees angle ###
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**Program:** `particle_billiard.c`
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**Initial condition in function `animation()`:** `init_line_config(0.0, -1.0, -1.0, 1.0, atan(0.5), configs);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
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/* Choice of the billiard table */
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#define B_DOMAIN 13 /* choice of domain shape */
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#define D_RECTANGLE 0 /* rectangular domain */
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#define D_ELLIPSE 1 /* elliptical domain */
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#define D_STADIUM 2 /* stadium-shaped domain */
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#define D_SINAI 3 /* Sinai billiard */
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#define D_DIAMOND 4 /* diamond-shaped billiard */
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#define D_TRIANGLE 5 /* triangular billiard */
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#define D_ANNULUS 7 /* annulus */
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#define D_POLYGON 8 /* polygon */
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#define D_REULEAUX 9 /* Reuleaux and star shapes */
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#define D_FLOWER 10 /* Bunimovich flower */
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#define D_ALT_REU 11 /* alternating between star and Reuleaux */
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#define D_ANGLE 12 /* angular sector */
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#define D_LSHAPE 13 /* L-shaped billiard for conical singularity */
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#define LAMBDA 0.75 /* parameter controlling shape of billiard */
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#define MU 0.1 /* second parameter controlling shape of billiard */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
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#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
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#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define DEBUG 0 /* draw trajectories, for debugging purposes */
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/* Simulation parameters */
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#define NPART 2001 /* number of particles */
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#define NPARTMAX 100000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 1788 /* number of frames of movie */
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#define TIME 1000 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.000005 /* integration step */
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#define NVID 150 /* number of iterations between images displayed on screen */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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/* Colors and other graphical parameters */
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#define NCOLORS 12 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
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#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.04 /* length of velocity vectors */
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#define BILLIARD_WIDTH 3 /* width of billiard */
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#define PARTICLE_WIDTH 2 /* width of particles */
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#define FRONT_WIDTH 3 /* width of wave front */
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#define BLACK 1 /* set to 1 for black background */
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#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
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#define OUTER_COLOR 270.0 /* color outside billiard */
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#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1000 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 3 July 21 - Anderson localization: randomly placed mangroves offer better tsunami protection ###
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**Program:** `wave_billiard.c`
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**Initial condition in function `animation()`:** `init_wave(-1.5, 0.0, phi, psi, phi_tmp, psi_tmp, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define NX 1280 /* number of grid points on x axis */
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#define NY 720 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define JULIA_SCALE 1.1 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 13 /* choice of domain shape */
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/* superseded in later versions by D_DOMAIN 20 with D_CIRCLES 20
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and CIRCLE_PATTERN 2 with C_RAND_DISPLACED 2 */
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#define D_RECTANGLE 0 /* rectangular domain */
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#define D_ELLIPSE 1 /* elliptical domain */
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#define D_STADIUM 2 /* stadium-shaped domain */
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#define D_SINAI 3 /* Sinai billiard */
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#define D_DIAMOND 4 /* diamond-shaped billiard */
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#define D_TRIANGLE 5 /* triangular billiard */
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#define D_FLAT 6 /* flat interface */
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#define D_ANNULUS 7 /* annulus */
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#define D_POLYGON 8 /* polygon */
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#define D_YOUNG 9 /* Young diffraction slits */
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#define D_GRATING 10 /* diffraction grating */
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#define D_EHRENFEST 11 /* Ehrenfest urn type geometry */
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#define D_DISK_GRID 12 /* grid of disks */
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#define D_DISK_RANDOM 13 /* grid of randomly displaces disks */
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/* superseded in later versions by D_DOMAIN 20 with D_CIRCLES 20
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and CIRCLE_PATTERN 2 with C_RAND_DISPLACED 2 */
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#define D_MENGER 15 /* Menger-Sierpinski carpet */
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#define D_JULIA_INT 16 /* interior of Julia set */
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/* Billiard tables for heat equation */
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#define D_ANNULUS_HEATED 21 /* annulus with different temperatures */
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#define D_MENGER_HEATED 22 /* Menger gasket with different temperatures */
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#define D_MENGER_H_OPEN 23 /* Menger gasket with different temperatures and larger domain */
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#define D_MANDELBROT 24 /* Mandelbrot set */
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#define D_JULIA 25 /* Julia set */
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#define D_MANDELBROT_CIRCLE 26 /* Mandelbrot set with circular conductor */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 0.025 /* parameter controlling the dimensions of domain */
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#define NPOLY 8 /* number of sides of polygon */
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#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 4 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 15 /* number of grid point for grid of disks */
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#define NGRIDY 20 /* number of grid point for grid of disks */
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/* You can add more billiard tables by adapting the functions */
|
||||
/* xy_in_billiard and draw_billiard below */
|
||||
|
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/* Physical parameters of wave equation */
|
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|
||||
#define OMEGA 0.9 /* frequency of periodic excitation */
|
||||
#define COURANT 0.01 /* Courant number */
|
||||
#define GAMMA 0.0 /* damping factor in wave equation */
|
||||
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||||
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||||
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||||
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||||
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||||
|
||||
/* Boundary conditions */
|
||||
|
||||
#define B_COND 2
|
||||
|
||||
#define BC_DIRICHLET 0 /* Dirichlet boundary conditions */
|
||||
#define BC_PERIODIC 1 /* periodic boundary conditions */
|
||||
#define BC_ABSORBING 2 /* absorbing boundary conditions (beta version) */
|
||||
|
||||
|
||||
/* For debugging purposes only */
|
||||
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||||
#define VMAX 10.0 /* max value of wave amplitude */
|
||||
|
||||
/* Parameters for length and speed of simulation */
|
||||
|
||||
#define NSTEPS 5500 /* number of frames of movie */
|
||||
#define NVID 25 /* number of iterations between images displayed on screen */
|
||||
#define NSEG 100 /* number of segments of boundary */
|
||||
|
||||
#define PAUSE 1000 /* number of frames after which to pause */
|
||||
#define PSLEEP 1 /* sleep time during pause */
|
||||
#define SLEEP1 1 /* initial sleeping time */
|
||||
#define SLEEP2 1 /* final sleeping time */
|
||||
|
||||
/* Plot type */
|
||||
|
||||
#define PLOT 1
|
||||
|
||||
#define P_AMPLITUDE 0 /* plot amplitude of wave */
|
||||
#define P_ENERGY 1 /* plot energy of wave */
|
||||
|
||||
|
||||
/* Color schemes */
|
||||
|
||||
#define BLACK 1 /* background */
|
||||
|
||||
#define COLOR_SCHEME 1 /* choice of color scheme */
|
||||
|
||||
#define C_LUM 0 /* color scheme modifies luminosity (with slow drift of hue) */
|
||||
#define C_HUE 1 /* color scheme modifies hue */
|
||||
|
||||
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||||
#define SLOPE 0.02 /* sensitivity of color on wave amplitude */
|
||||
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||||
|
||||
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||||
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||||
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||||
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||||
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
||||
#define HUEAMP -240.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||||
|
||||
/* Basic math */
|
||||
|
||||
#define PI 3.141592654
|
||||
#define DPI 6.283185307
|
||||
#define PID 1.570796327
|
||||
|
||||
```
|
||||
### 2 July 21 - #shorts: Working the angle - 120 degrees ###
|
||||
|
||||
**Program:** Variant of `particle_billiard.c`
|
||||
|
||||
**Initial condition in function `animation()`:** `init_drop_config(-1.0, 1.0, -0.65*PID, -0.4*PID, configs); `
|
||||
|
||||
```
|
||||
#define MOVIE 1 /* set to 1 to generate movie */
|
||||
|
||||
#define WINWIDTH 1280 /* window width */
|
||||
#define WINHEIGHT 720 /* window height */
|
||||
|
||||
#define XMIN -2.0
|
||||
#define XMAX 2.0 /* x interval */
|
||||
#define YMIN -1.125
|
||||
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||||
|
||||
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||||
|
||||
/* Choice of the billiard table */
|
||||
|
||||
#define B_DOMAIN 12 /* choice of domain shape */
|
||||
|
||||
#define D_RECTANGLE 0 /* rectangular domain */
|
||||
#define D_ELLIPSE 1 /* elliptical domain */
|
||||
#define D_STADIUM 2 /* stadium-shaped domain */
|
||||
#define D_SINAI 3 /* Sinai billiard */
|
||||
#define D_DIAMOND 4 /* diamond-shaped billiard */
|
||||
#define D_TRIANGLE 5 /* triangular billiard */
|
||||
#define D_ANNULUS 7 /* annulus */
|
||||
#define D_POLYGON 8 /* polygon */
|
||||
#define D_REULEAUX 9 /* Reuleaux and star shapes */
|
||||
#define D_FLOWER 10 /* Bunimovich flower */
|
||||
#define D_ALT_REU 11 /* alternating between star and Reuleaux */
|
||||
#define D_ANGLE 12 /* angular sector */
|
||||
|
||||
#define LAMBDA 0.6666666666666666 /* parameter controlling shape of billiard */
|
||||
#define MU 0.1 /* second parameter controlling shape of billiard */
|
||||
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||||
#define NPOLY 6 /* number of sides of polygon */
|
||||
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||||
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
||||
#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
|
||||
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
||||
|
||||
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
||||
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
||||
|
||||
/* Simulation parameters */
|
||||
|
||||
#define NPART 500 /* number of particles */
|
||||
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
||||
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||||
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||||
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||||
|
||||
#define NSTEPS 700 /* number of frames of movie */
|
||||
#define TIME 1000 /* time between movie frames, for fluidity of real-time simulation */
|
||||
#define DPHI 0.000006 /* integration step */
|
||||
#define NVID 150 /* number of iterations between images displayed on screen */
|
||||
|
||||
/* Decreasing TIME accelerates the animation and the movie */
|
||||
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||||
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||||
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||||
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||||
|
||||
/* Colors and other graphical parameters */
|
||||
|
||||
#define NCOLORS 6 /* number of colors */
|
||||
#define COLORSHIFT 0 /* hue of initial color */
|
||||
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
||||
#define NSEG 100 /* number of segments of boundary */
|
||||
#define LENGTH 0.04 /* length of velocity vectors */
|
||||
#define BILLIARD_WIDTH 3 /* width of billiard */
|
||||
#define PARTICLE_WIDTH 2 /* width of particles */
|
||||
#define FRONT_WIDTH 3 /* width of wave front */
|
||||
|
||||
#define BLACK 1 /* set to 1 for black background */
|
||||
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||||
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||||
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||||
|
||||
|
||||
#define PAUSE 1000 /* number of frames after which to pause */
|
||||
#define PSLEEP 1 /* sleep time during pause */
|
||||
#define SLEEP1 1 /* initial sleeping time */
|
||||
#define SLEEP2 1000 /* final sleeping time */
|
||||
|
||||
#define PI 3.141592654
|
||||
#define DPI 6.283185307
|
||||
#define PID 1.570796327
|
||||
|
||||
```
|
||||
|
||||
### 1 July 21 - #shorts: Young's double-slit experiment with a quantum particle ###
|
||||
|
||||
**Program:** `schrodinger.c`
|
||||
|
||||
**Initial condition in function `animation()`:** `init_coherent_state(-1.2, 0.0, 20.0, 0.0, 0.25, phi, psi, xy_in);`
|
||||
|
||||
```
|
||||
#define MOVIE 1 /* set to 1 to generate movie */
|
||||
|
||||
/* General geometrical parameters */
|
||||
|
||||
#define WINWIDTH 1280 /* window width */
|
||||
#define WINHEIGHT 720 /* window height */
|
||||
|
||||
#define NX 1280 /* number of grid points on x axis */
|
||||
#define NY 720 /* number of grid points on y axis */
|
||||
|
||||
#define XMIN -2.0
|
||||
#define XMAX 2.0 /* x interval */
|
||||
#define YMIN -1.125
|
||||
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||||
|
||||
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||||
|
||||
/* Choice of the billiard table */
|
||||
|
||||
#define B_DOMAIN 9 /* choice of domain shape */
|
||||
|
||||
#define D_RECTANGLE 0 /* rectangular domain */
|
||||
#define D_ELLIPSE 1 /* elliptical domain */
|
||||
#define D_STADIUM 2 /* stadium-shaped domain */
|
||||
#define D_SINAI 3 /* Sinai billiard */
|
||||
#define D_DIAMOND 4 /* diamond-shaped billiard */
|
||||
#define D_TRIANGLE 5 /* triangular billiard */
|
||||
#define D_FLAT 6 /* flat interface */
|
||||
#define D_ANNULUS 7 /* annulus */
|
||||
#define D_POLYGON 8 /* polygon */
|
||||
#define D_YOUNG 9 /* Young diffraction slits */
|
||||
#define D_GRATING 10 /* diffraction grating */
|
||||
#define D_EHRENFEST 11 /* Ehrenfest urn type geometry */
|
||||
#define D_DISK_GRID 12 /* grid of disks */
|
||||
|
||||
#define D_MENGER 15 /* Menger-Sierpinski carpet */
|
||||
#define D_JULIA_INT 16 /* interior of Julia set */
|
||||
|
||||
/* Billiard tables for heat equation */
|
||||
|
||||
#define D_ANNULUS_HEATED 21 /* annulus with different temperatures */
|
||||
#define D_MENGER_HEATED 22 /* Menger gasket with different temperatures */
|
||||
#define D_MENGER_H_OPEN 23 /* Menger gasket with different temperatures and larger domain */
|
||||
#define D_MANDELBROT 24 /* Mandelbrot set */
|
||||
#define D_JULIA 25 /* Julia set */
|
||||
#define D_MANDELBROT_CIRCLE 26 /* Mandelbrot set with circular conductor */
|
||||
|
||||
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
||||
#define MU 0.05 /* parameter controlling the dimensions of domain */
|
||||
#define NPOLY 6 /* number of sides of polygon */
|
||||
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||||
#define MDEPTH 3 /* depth of computation of Menger gasket */
|
||||
#define MRATIO 3 /* ratio defining Menger gasket */
|
||||
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||||
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||||
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||||
#define NGRIDX 15 /* number of grid point for grid of disks */
|
||||
#define NGRIDY 20 /* number of grid point for grid of disks */
|
||||
|
||||
/* You can add more billiard tables by adapting the functions */
|
||||
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
||||
|
||||
/* Physical patameters of wave equation */
|
||||
|
||||
#define DT 0.000000005
|
||||
#define HBAR 1.0
|
||||
|
||||
/* Boundary conditions */
|
||||
|
||||
#define B_COND 1
|
||||
|
||||
#define BC_DIRICHLET 0 /* Dirichlet boundary conditions */
|
||||
#define BC_PERIODIC 1 /* periodic boundary conditions */
|
||||
#define BC_ABSORBING 2 /* absorbing boundary conditions (beta version) */
|
||||
|
||||
/* Parameters for length and speed of simulation */
|
||||
|
||||
#define NSTEPS 1400 /* number of frames of movie */
|
||||
#define NVID 1200 /* number of iterations between images displayed on screen */
|
||||
#define NSEG 100 /* number of segments of boundary */
|
||||
|
||||
#define PAUSE 1000 /* number of frames after which to pause */
|
||||
#define PSLEEP 1 /* sleep time during pause */
|
||||
#define SLEEP1 1 /* initial sleeping time */
|
||||
#define SLEEP2 1 /* final sleeping time */
|
||||
|
||||
/* For debugging purposes only */
|
||||
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||||
#define VMAX 10.0 /* max value of wave amplitude */
|
||||
|
||||
|
||||
/* Plot type */
|
||||
|
||||
#define PLOT 0
|
||||
|
||||
#define P_MODULE 0 /* plot module of wave function squared */
|
||||
#define P_PHASE 1 /* plot phase of wave function */
|
||||
#define P_REAL 2 /* plot real part */
|
||||
#define P_IMAGINARY 3 /* plot imaginary part */
|
||||
|
||||
/* Color schemes */
|
||||
|
||||
#define BLACK 1 /* black background */
|
||||
|
||||
#define COLOR_SCHEME 1 /* choice of color scheme */
|
||||
|
||||
#define C_LUM 0 /* color scheme modifies luminosity (with slow drift of hue) */
|
||||
#define C_HUE 1 /* color scheme modifies hue */
|
||||
#define C_PHASE 2 /* color scheme shows phase */
|
||||
|
||||
#define SCALE 1 /* set to 1 to adjust color scheme to variance of field */
|
||||
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||||
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||||
|
||||
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||||
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||||
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||||
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||||
#define HUEMEAN 150.0 /* mean value of hue for color scheme C_HUE */
|
||||
#define HUEAMP -150.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||||
|
||||
/* Basic math */
|
||||
|
||||
#define PI 3.141592654
|
||||
#define DPI 6.283185307
|
||||
#define PID 1.570796327
|
||||
|
||||
```
|
||||
|
||||
### xx July 21 - ###
|
||||
|
||||
**Program:** `x.c`
|
||||
|
||||
Loading…
Reference in New Issue
Block a user