3752 lines
171 KiB
Markdown
3752 lines
171 KiB
Markdown
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### Parameter values for YouTube simulations ###
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Created by **Nils Berglund** and optimized by **Marco Mancini**
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C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
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Below are parameter values used for different simulations, as well as initial conditions used in
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function animation. Some simulations use variants of the published code. The list is going to be
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updated gradually.
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### 30 November 21 - Wave protection comparison 9: square grid of triangles vs square grid of circles ###
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**Program:** `wave_comparison.c`
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**Initial condition in function `animation()`:** `int_planar_wave_comp(XMIN + 0.015, 0.0, phi, psi, xy_in);`
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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 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 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
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#define B_DOMAIN_B 40 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_pdes.c */
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#define CIRCLE_PATTERN_B 0 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
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#define MU 0.03 /* parameter controlling the dimensions of domain */
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#define MUB 0.04665361 /* parameter controlling the dimensions of domain */
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#define NPOLY 3 /* 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 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 20 /* 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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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -1.65
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#define ISO_XSHIFT_RIGHT 0.4
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#define ISO_YSHIFT_LEFT -0.05
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#define ISO_YSHIFT_RIGHT -0.05
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#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
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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 TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
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#define OMEGA 0.0 /* frequency of periodic excitation */
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#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
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#define COURANT 0.02 /* Courant number */
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#define COURANTB 0.004 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 1.0e-8 /* damping factor in wave equation */
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#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
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#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
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#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
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#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
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#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
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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, see list in global_pdes.c */
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#define B_COND 3
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/* Parameters for length and speed of simulation */
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#define NSTEPS 5000 /* 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 INITIAL_TIME 200 /* time after which to start saving frames */
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#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
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#define BOUNDARY_WIDTH 2 /* width of billiard 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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#define END_FRAMES 100 /* number of still frames at end of movie */
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/* Parameters of initial condition */
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#define INITIAL_AMP 0.75 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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#define PLOT 1
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/* Color schemes */
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#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
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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 E_SCALE 2000.0 /* scaling factor for energy representation */
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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 -220.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 40.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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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 5.0 /* max value of wave amplitude */
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```
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### 29 November 21 - Yellow’s great escape: trajectory of one particle in a Tokarsky unilluminable room ###
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**Program:** `particle_billiard.c`
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**Initial condition in function `animation()`:** `init_drop_config(-0.95, 0.0, -0.103 + DPI/15.0, -0.1 + DPI/15.0, 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, see global_particles.c */
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#define B_DOMAIN 30 /* choice of domain shape */
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#define CIRCLE_PATTERN 1 /* pattern of circles */
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#define POLYLINE_PATTERN 1 /* pattern of polyline */
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#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
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#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
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#define NMAXPOLY 100000 /* total number of sides of polygonal line */
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#define NCX 30 /* number of circles in x direction */
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#define NCY 20 /* number of circles in y direction */
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#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
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#define SDEPTH 1 /* Sierpinski gastket depth */
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#define LAMBDA 1.5 /* parameter controlling shape of domain */
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#define MU 0.002 /* 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 0.0 /* 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 0 /* 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 1 /* 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 SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
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#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
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#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
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#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
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#define NSTEPS 5500 /* number of frames of movie */
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#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
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#define NCOLORS 16 /* 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 0.015 /* length of velocity vectors */
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#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
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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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```
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### 28 November 21 - Quantum of snowflake: Schrödinger’s equation in a von Koch fractal ###
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**Program:** `schrodinger.c`
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**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 10.0, 0.0, 0.1, phi, psi, 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 640 /* number of grid points on x axis */
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#define NY 360 /* number of grid points on y axis */
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/* setting NX to WINWIDTH and NY to WINHEIGHT increases resolution */
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/* but will multiply run time by 4 */
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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 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table, see list in global_pdes.c */
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#define B_DOMAIN 41 /* choice of domain shape */
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#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 1.0 /* parameter controlling the dimensions of domain */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 5 /* 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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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -1.65
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#define ISO_XSHIFT_RIGHT 0.4
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#define ISO_YSHIFT_LEFT -0.05
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|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* 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 0.00000001
|
|||
|
|
#define HBAR 1.0
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2500 /* 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 BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define END_FRAMES 100 /* still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 11
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#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 E_SCALE 150.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP 180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 27 November 21 - A von Koch snowflake resonating cavity with refracting walls ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard_vonKoch.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 -2.666666666
|
|||
|
|
#define XMAX 2.666666666 /* x interval */
|
|||
|
|
#define YMIN -1.5
|
|||
|
|
#define YMAX 1.5 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 41 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MAXDEPTH 5 /* max 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 10 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 500 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 25 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* 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 E_SCALE 150.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 4.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 26 November 21 - A von Koch snowflake capacitor with field lines ###
|
|||
|
|
|
|||
|
|
**Program:** `heat_vonKoch.c` (variant of `heat.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_gaussian(-1.0, 0.0, 0.1, 0.0, 0.01, phi, 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 */
|
|||
|
|
|
|||
|
|
/* setting NX to WINWIDTH and NY to WINHEIGHT increases resolution */
|
|||
|
|
/* but will multiply run time by 4 */
|
|||
|
|
|
|||
|
|
#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 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 27 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* 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 */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* 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 0.000004
|
|||
|
|
#define VISCOSITY 10.0
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 0
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* 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 */
|
|||
|
|
|
|||
|
|
/* Field representation */
|
|||
|
|
|
|||
|
|
#define FIELD_REP 1
|
|||
|
|
|
|||
|
|
#define F_INTENSITY 0 /* color represents intensity */
|
|||
|
|
#define F_GRADIENT 1 /* color represents norm of gradient */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 1 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define REDISTRIBUTE_FIELD_LINES 0 /* set to 1 to "equidistribute" field lines according to gradient on boundary */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.2 /* 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 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 25 November 21 - Average energy of a wave in a von Koch snowflake fractal ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 720 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* 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 41 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* 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 10 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|||
|
|
#define NVID 60 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 350 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 3
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 24 November 21 - A lighthouse beam in a von Koch snowflake fractal ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory_vonKoch.c` (variant of `particle_trajectory.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
alpha = ((double)depth + (double)time)*PI/6.0;
|
|||
|
|
compute_trajectories_xy(0.0, 0.0, alpha, alpha + DPI, configs, trajectory, traj_length);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 4 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
#define SDEPTH 5 /* Sierpinski gastket depth */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.0001 /* 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 0.0 /* 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 0 /* 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 1 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define TRAJ_LENGTH 36 /* length of trajectory */
|
|||
|
|
#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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1480 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 36 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 ENDFRAMES 20 /* still frames at end of animation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 23 November 21 - Waves in a von Koch snowflake fractal ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 41 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* 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 10 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2900 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 350 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 22 November 21 - Billiard in a von Koch snowflake fractal ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_vonKoch.c` (variant of `particle_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.0, 0.0, -PI, PI, 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 4 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
#define SDEPTH 5 /* Sierpinski gastket depth */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.0001 /* 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 0.0 /* 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 0 /* 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 10000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.000005 /* 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 COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 12 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.01 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 1 /* 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 PAINT_EXT 0 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 21 November 21 - Waves hitting a randomized square grid of hexagons ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.02, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 40 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.7 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.06 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 10 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2200 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 50 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.1 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 20.0 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 20 November 21 - A lighthouse beam in a mirrored hexagon ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
x = 0.0;
|
|||
|
|
y = 0.0;
|
|||
|
|
alpha = (1.0/6.0 + (double)time/3.0)*PI;
|
|||
|
|
compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 8 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.02 /* 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 0.0 /* 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 0 /* 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 1 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define TRAJ_LENGTH 36 /* length of trajectory */
|
|||
|
|
#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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 36 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 19 November 21 - Waves starting off center in a four-sided parabolic resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.1, 0.05, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 32 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3350 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 120.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 18 November 21 - Mystery billiard 11 ###
|
|||
|
|
|
|||
|
|
**Program:** `mystery_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.5, 0.0, -PI, PI, 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 3 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.8 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.01 /* 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 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* 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 2000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5000 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.0000075 /* 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 COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 16 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.025 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 0 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 FINALFRAMES 100 /* number of still frames at the end */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 17 November 21 - Wave meets triangular grid of triangular obstacles ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.02, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* 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 -1.125
|
|||
|
|
#define XMAX 1.125 /* 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 40 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.7 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.07 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 10 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 25 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.04 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 40.0 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 16 November 21 - Mystery billiard 10 ###
|
|||
|
|
|
|||
|
|
**Program:** `mystery_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.75, 0.0, PI-0.1, PI+0.1, 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 2 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.2 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.6 /* 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 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* 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 1000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.0000075 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 8 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.025 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 0 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 15 November 21 - A fiery wave hitting random obstacles ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.02, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3350 /* number of frames of movie */
|
|||
|
|
#define NVID 35 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 75 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.05 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 40.0 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 14 November 21 - The origin of the xenomorph: wave in a rotating ellipse ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard_rotate.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 -3.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.6875
|
|||
|
|
#define YMAX 1.6875 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.9 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY -0.02 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define ROTATION 0.0014 /* rotation angle per frame */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 6250 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.04 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 1 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.8 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.8 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 13 November 21 - Trajectories on a translation surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
x = -0.5;
|
|||
|
|
y = -0.5;
|
|||
|
|
alpha = time*PI;
|
|||
|
|
compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 13 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.02 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 16 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define TRAJ_LENGTH 10 /* length of trajectory */
|
|||
|
|
#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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 12 November 21 - Classics revisited: Wave in an ellipse starting from a focus ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(sqrt(LAMBDA*LAMBDA - 1.0), 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
// #define NSTEPS 500 /* number of frames of movie */
|
|||
|
|
#define NSTEPS 4200 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 120.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 11 November 21 - Stringer Bell's demise: trajectories in a Tokarsky room with a moving shooter ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
x = -0.95 - 0.2*time;
|
|||
|
|
y = 0.5 - 0.5*(1.0 - time);
|
|||
|
|
alpha = argument(x + 0.95, y) - PI;
|
|||
|
|
compute_trajectories_xy(x, y, alpha, DPI + alpha, configs, trajectory, traj_length);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.02 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 10000 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define TRAJ_LENGTH 48 /* length of trajectory */
|
|||
|
|
#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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 10 November 21 - The power of Inti: Four waves in a rotating four-sided parabolic resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard_rotate.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
init_circular_wave(0.35, 0.35, phi, psi, xy_in);
|
|||
|
|
add_circular_wave(-1.0, -0.35, 0.35, phi, psi, xy_in);
|
|||
|
|
add_circular_wave(1.0, -0.35, -0.35, phi, psi, xy_in);
|
|||
|
|
add_circular_wave(-1.0, 0.35, -0.35, phi, psi, xy_in);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 32 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.9 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY -0.02 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define ROTATION 0.0015 /* rotation angle per frame */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2600 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.03 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.2 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 9 November 21 - Particles stating off center in a parabolic resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.03, 0.02, 0.0, DPI, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 15 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.0 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 1.0 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 20000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1350 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 16 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.025 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 0 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 8 November 21 - Chaotic waves in a diamond resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 4 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2300 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 120.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 7 November 21 - Don't s̶h̶u̶t̶ shoot me down (part 2): Particles with trails in a Tokarsky room ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-0.95, 0.0, -0.1, -0.1 + DPI, 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.0035 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 16 /* 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 SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.015 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 6 November 21 - Wave amplitude and average energy in homophonic drums ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_xplusminus(startleft[0], startleft[1], startright[0], startright[1], phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 38 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3600 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 1 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 5 November 21 - Don’t s̶h̶u̶t̶ shoot me down: Particles in a Tokarsky unilluminable room ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-0.95, 0.0, PI, 3.0*PI, 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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
#define ABSORBING_CORNER_RADIUS 0.0 /* radius of absorbing corners in polygonal line */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.01 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 5000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1150 /* number of frames of movie */
|
|||
|
|
#define TIME 3000 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.000005 /* 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 COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.025 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 3 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 4 November 21 - A rotating hexagonal parabolic resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard_rotate.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 32 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY -0.02 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define ROTATION 0.00275 /* rotation angle per frame */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4350 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.2 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 50.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 7.5 /* scale of color scheme bar */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 3 November 21 - Trajectories in a triangular billiard ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
alpha = PI*1.25;
|
|||
|
|
x = -1.0 + 0.5*cos(DPI*time + alpha);
|
|||
|
|
y = LAMBDA - 2.0 + 0.5*sin(DPI*time + alpha);
|
|||
|
|
alpha = PI/3.0;
|
|||
|
|
compute_trajectories_xy(x, y, alpha, DPI + alpha, configs, trajectory, traj_length);
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 5 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 1000 /* total number of sides of polygonal line */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.732050808 /* sqrt(3) - parameter controlling shape of domain */
|
|||
|
|
#define MU 0.04 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 24 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define TRAJ_LENGTH 48 /* length of trajectory */
|
|||
|
|
#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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* 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 COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 2 November 21 - Classics revisited: circular wave starting from the center of an ellipse ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* 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 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 7 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* 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 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* 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, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4600 /* number of frames of movie */
|
|||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard 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 */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.35 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#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 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 1 November 21 - Particles in a four-sided eccentric parabolic resonator ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
init_partial_drop_config(LAMBDA, 0.0, 0.0, DPI, 0, NPART/4, 0, configs, color, newcolor);
|
|||
|
|
init_partial_drop_config(-LAMBDA, 0.0, 0.0, DPI, NPART/4, NPART/2, 0, configs, color, newcolor);
|
|||
|
|
init_partial_drop_config(0.0, LAMBDA, 0.0, DPI, NPART/2, 3*NPART/4, 0, configs, color, newcolor);
|
|||
|
|
init_partial_drop_config(0.0, -LAMBDA, 0.0, DPI, 3*NPART/4, NPART, 0, configs, color, newcolor);
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 15 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.3 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.7 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0 /* 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 10000 /* 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 SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4600 /* number of frames of movie */
|
|||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.0000025 /* 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 COLOR_PALETTE 1 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define NCOLORS 64 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#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 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 1 /* 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 PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
```
|