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Nils Berglund
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151
wave_3d.c
151
wave_3d.c
@@ -44,65 +44,62 @@
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#include <time.h>
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#define MOVIE 0 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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// #define WINWIDTH 1920 /* window width */
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// #define WINHEIGHT 1000 /* window height */
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// #define NX 2000 /* number of grid points on x axis */
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// #define NY 2000 /* number of grid points on y axis */
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// // #define NX 1920 /* number of grid points on x axis */
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// // #define NY 1000 /* number of grid points on y axis */
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// // // #define YMIN -1.041666667
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// // // #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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//
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1000 /* window height */
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#define NX 2000 /* number of grid points on x axis */
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#define NY 2000 /* number of grid points on y axis */
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// #define NX 2700 /* number of grid points on x axis */
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// #define NY 1350 /* number of grid points on y axis */
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// // #define YMIN -1.041666667
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// // #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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// #define XMIN -2.0
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// #define XMAX 2.0 /* x interval */
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// #define YMIN -1.041666667
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// #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
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#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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// //
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// #define WINWIDTH 1280 /* window width */
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// #define WINHEIGHT 720 /* window height */
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// // //
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// #define NX 1500 /* number of grid points on x axis */
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// #define NY 1500 /* number of grid points on y axis */
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// //
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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 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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#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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//
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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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//
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#define XMIN -1.4
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#define XMAX 1.4 /* x interval */
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#define YMIN -1.4
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#define YMAX 1.4 /* y interval for 9/16 aspect ratio */
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//
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#define JULIA_SCALE 0.8 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
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#define B_DOMAIN 7 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
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#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
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#define COMPARISON 0 /* set to 1 to compare two different patterns */
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#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
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#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
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#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
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#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
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#define IOR 2 /* choice of index of refraction, see list in global_pdes.c */
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#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
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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 -0.5 /* parameter controlling the dimensions of domain */
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#define MU 0.25 /* parameter controlling the dimensions of domain */
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#define LAMBDA 0.7 /* parameter controlling the dimensions of domain */
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#define MU 0.0 /* 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 7 /* depth of computation of Menger gasket */
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@@ -110,8 +107,8 @@
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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 36 /* number of grid point for grid of disks */
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#define NGRIDY 6 /* number of grid point for grid of disks */
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#define NGRIDX 12 /* number of grid point for grid of disks */
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#define NGRIDY 16 /* 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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@@ -131,18 +128,19 @@
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/* Physical parameters of wave equation */
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#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
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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 OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */
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#define OMEGA 0.001 /* frequency of periodic excitation */
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#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
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// #define OMEGA 0.0005 /* frequency of periodic excitation */
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#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
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#define ACHIRP 0.2 /* acceleration coefficient in chirp */
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#define COURANT 0.1 /* Courant number */
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#define COURANTB 0.025 /* Courant number in medium B */
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#define DAMPING 0.0 /* damping of periodic excitation */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 0.0 /* damping factor in wave equation */
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#define DAMPING 0.0 /* damping of periodic excitation */
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#define COURANT 0.06 /* Courant number */
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#define COURANTB 0.15 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 0.015 /* 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-7 /* damping factor on boundary */
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#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
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@@ -158,14 +156,16 @@
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 3
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// #define B_COND 1
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#define B_COND 2
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#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */
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/* Parameters for length and speed of simulation */
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#define NSTEPS 3000 /* number of frames of movie */
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#define NVID 8 /* number of iterations between images displayed on screen */
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// #define NSTEPS 200 /* number of frames of movie */
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#define NSTEPS 1500 /* number of frames of movie */
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#define NVID 10 /* number of iterations between images displayed on screen */
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#define NSEG 1000 /* number of segments of boundary */
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#define INITIAL_TIME 0 /* time after which to start saving frames */
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#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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@@ -182,9 +182,13 @@
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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 0.001 /* variance of initial condition */
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// #define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
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#define INITIAL_AMP 0.75 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
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#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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@@ -199,13 +203,13 @@
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#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
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#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */
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#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
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#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
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#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw front of boundary after drawing wave */
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#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
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#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
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#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
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#define PLOT_SCALE_ENERGY 0.5 /* vertical scaling in energy plot */
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#define PLOT_SCALE_LOG_ENERGY 1.0 /* vertical scaling in log energy plot */
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#define PLOT_SCALE_ENERGY 0.01 /* vertical scaling in energy plot */
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#define PLOT_SCALE_LOG_ENERGY 0.25 /* vertical scaling in log energy plot */
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/* 3D representation */
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@@ -219,24 +223,24 @@
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/* Color schemes */
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#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 14 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 16 /* 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 0.5 /* sensitivity of color on wave amplitude */
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#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
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#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define VSCALE_ENERGY 60.0 /* additional scaling factor for color scheme P_3D_ENERGY */
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#define VSCALE_ENERGY 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
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#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
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#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define E_SCALE 250.0 /* scaling factor for energy representation */
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#define E_SCALE 100.0 /* scaling factor for energy representation */
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#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
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#define LOG_SHIFT 0.0 /* shift of colors on log scale */
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#define LOG_ENERGY_FLOOR -100.0 /* floor value for log of (total) energy */
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#define LOG_SHIFT 0.5 /* shift of colors on log scale */
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#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */
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#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
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#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
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@@ -247,13 +251,28 @@
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#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define NXMAZE 7 /* width of maze */
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#define NYMAZE 7 /* height of maze */
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#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
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#define RAND_SHIFT 24 /* seed of random number generator */
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// 0, 9, 18, 20, 22
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// #define RAND_SHIFT 58 /* seed of random number generator */
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#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 15.0 /* scale of color scheme bar for 2nd part */
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#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 5.0 /* 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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#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
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/* for compatibility with sub_wave and sub_maze */
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#define ADD_POTENTIAL 0
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// #define POT_MAZE 7
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#define POTENTIAL 0
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/* end of constants only used by sub_wave and sub_maze */
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/* For debugging purposes only */
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#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
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#define VMAX 10.0 /* max value of wave amplitude */
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@@ -264,21 +283,22 @@ double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_
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double v_3d[2] = {-0.75, -0.45};
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double w_3d[2] = {0.0, 0.015};
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double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
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double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
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double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
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int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
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#define Z_SCALING_FACTOR 0.2 /* overall scaling factor of z axis for REP_PROJ_3D representation */
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#define XY_SCALING_FACTOR 2.1 /* overall scaling factor for on-screen (x,y) coordinates after projection */
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#define Z_SCALING_FACTOR 0.35 /* overall scaling factor of z axis for REP_PROJ_3D representation */
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#define XY_SCALING_FACTOR 2.4 /* overall scaling factor for on-screen (x,y) coordinates after projection */
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#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
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#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
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#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
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#include "global_pdes.c" /* constants and global variables */
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#include "global_3d.c" /* constants and global variables */
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#include "sub_maze.c" /* support for generating mazes */
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#include "sub_wave.c" /* common functions for wave_billiard, heat and schrodinger */
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#include "wave_common.c" /* common functions for wave_billiard, wave_comparison, etc */
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#include "global_3d.c" /* constants and global variables */
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#include "sub_wave_3d.c" /* graphical functions specific to wave_3d */
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FILE *time_series_left, *time_series_right;
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@@ -961,6 +981,9 @@ void animation()
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npolyline = init_polyline(MDEPTH, polyline);
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for (i=0; i<npolyline; i++) printf("vertex %i: (%.3f, %.3f)\n", i, polyline[i].x, polyline[i].y);
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if (COMPARISON) npolyline_b = init_polyline(MDEPTH, polyline);
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npolyrect = init_polyrect(polyrect);
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for (i=0; i<npolyrect; i++) printf("polyrect vertex %i: (%.3f, %.3f) - (%.3f, %.3f)\n", i, polyrect[i].x1, polyrect[i].y1, polyrect[i].x2, polyrect[i].y2);
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courant2 = COURANT*COURANT;
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courantb2 = COURANTB*COURANTB;
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@@ -1005,8 +1028,8 @@ void animation()
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// init_circular_wave_mod(polyline[85].x, polyline[85].y, phi, psi, xy_in);
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// init_circular_wave_mod(0.95, 0.0, phi, psi, xy_in);
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init_wave_flat_mod(phi, psi, xy_in);
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init_circular_wave_mod(-0.85, 0.0, phi, psi, xy_in);
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// init_wave_flat_mod(phi, psi, xy_in);
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// add_circular_wave_mod(1.0, 1.0, 0.0, phi, psi, xy_in);
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// printf("Wave initialized\n");
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