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112
wave_sphere.c
112
wave_sphere.c
@@ -50,14 +50,10 @@
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#define WINHEIGHT 1150 /* window height */
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#define NX 2560 /* number of grid points on x axis */
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#define NY 1280 /* number of grid points on y axis */
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// #define NX 2048 /* number of grid points on x axis */
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// #define NY 1024 /* number of grid points on y axis */
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// #define NX 1024 /* number of grid points on x axis */
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// #define NY 512 /* number of grid points on y axis */
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#define DPOLE 30 /* safety distance to poles */
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#define DPOLE 15 /* safety distance to poles */
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#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */
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#define ZERO_MERIDIAN 190.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
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#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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@@ -70,20 +66,18 @@
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#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */
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#define JULIA_RE 0.5
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#define JULIA_IM 0.462 /* parameters for Julia sets */
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// #define JULIA_IM 0.45 /* parameters for Julia sets */
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/* Choice of the billiard table */
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// #define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
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#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */
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#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */
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#define CIRCLE_PATTERN 31 /* 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 1 /* set to 1 for a variable index of refraction */
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#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
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#define IOR 20 /* choice of index of refraction, see list in global_pdes.c */
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#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
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#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
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@@ -94,7 +88,7 @@
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#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
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#define MU 0.1 /* parameter controlling the dimensions of domain */
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#define MU 0.2 /* parameter controlling the dimensions of domain */
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#define MU_B 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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@@ -125,7 +119,7 @@
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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 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 OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */
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@@ -134,9 +128,8 @@
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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 DAMPING 0.0 /* damping of periodic excitation */
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#define COURANT 0.08 /* Courant number */
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#define COURANTB 0.005 /* Courant number in medium B */
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// #define GAMMA 2.0e-6 /* damping factor in wave equation */
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#define COURANT 0.1 /* Courant number */
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#define COURANTB 0.005 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 0.0 /* damping factor in wave equation */
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#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
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@@ -150,9 +143,9 @@
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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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#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
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#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
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#define OSCILLATING_SOURCE_PERIOD 25 /* period of oscillating source */
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#define ALTERNATE_OSCILLATING_SOURCE 0 /* set to 1 to alternate sign of oscillating source */
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#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
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#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
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#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
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@@ -161,7 +154,7 @@
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#define ADD_FORCING 0 /* set to 1 to add periodic forcing */
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#define FORCING_AMP 0.0 /* amplitude of periodic forcing */
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#define FORCING_CONST_AMP 1.0-10 /* amplitude of periodic forcing */
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#define FORCING_CONST_AMP 1.0e-10 /* amplitude of periodic forcing */
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#define FORCING_PERIOD 2400 /* period of forcing */
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#define DRIFT_WAVE 0 /* add drift of wave to the right (experimental) */
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@@ -178,10 +171,9 @@
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/* Parameters for length and speed of simulation */
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#define NSTEPS 1500 /* number of frames of movie */
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// #define NSTEPS 500 /* number of frames of movie */
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// #define NVID 6 /* number of iterations between images displayed on screen */
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#define NVID 10 /* number of iterations between images displayed on screen */
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// #define NSTEPS 2800 /* number of frames of movie */
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#define NSTEPS 1800 /* number of frames of movie */
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#define NVID 4 /* 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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@@ -197,9 +189,9 @@
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/* Parameters of initial condition */
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#define INITIAL_AMP 0.03 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.002 /* wavelength of initial condition */
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#define INITIAL_AMP 2.5 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.003 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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@@ -215,8 +207,8 @@
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#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */
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#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */
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#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
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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 NON_DIRICHLET_BC 1 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
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#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
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#define DRAW_BILLIARD 0 /* 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_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
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@@ -234,14 +226,13 @@
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#define REPRESENTATION_3D 1 /* choice of 3D representation */
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#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */
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#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */
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#define FLOODING 1 /* set to 1 to draw waves above altitude (for Earth representations) */
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#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */
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#define REP_AXO_3D 0 /* linear projection (axonometry) */
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#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
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#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
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#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */
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// #define ROTATE_ANGLE -50.0 /* total angle of rotation during simulation */
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#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
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#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
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#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */
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@@ -249,7 +240,7 @@
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/* Color schemes */
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#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE 14 /* 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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@@ -261,7 +252,7 @@
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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 VSCALE_AMPLITUDE 50.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define VSHIFT_AMPLITUDE 0.0 /* additional shift for wave amplitude */
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#define VSCALE_ENERGY 5.0 /* 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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@@ -298,7 +289,7 @@
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#define MAZE_WIDTH 0.02 /* half width of maze walls */
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#define DRAW_COLOR_SCHEME 0 /* 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 1.5 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 6.0 /* 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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
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@@ -327,7 +318,7 @@
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#define INITIAL_SHIFT 20.0 /* time shift of initial wave packet (in oscillation periods) */
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#define WAVE_PACKET_SHIFT 200.0 /* time shift between wave packets (in oscillation periods) */
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#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
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#define N_SOURCES 1 /* number of sources, for option draw_sources */
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#define N_SOURCES 20 /* number of sources, for option draw_sources */
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#define XYIN_INITIALISED (B_DOMAIN == D_IMAGE)
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/* end of constants only used by sub_wave and sub_maze */
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@@ -344,28 +335,27 @@ double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "li
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double observer[3] = {-5.0, -5.0, 3.5}; /* 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 ADD_DEM 1 /* add DEM (digital elevation model) */
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#define ADD_NEGATIVE_DEM 1 /* add DEM with bathymetric data */
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#define ADD_DEM 0 /* add DEM (digital elevation model) */
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#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */
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#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */
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#define SMOOTH_DEM 5 /* set to 1 to smoothen DEM (to make altitude less constant) */
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#define DEM_SMOOTH_STEPS 1 /* number of smoothening steps */
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#define DEM_SMOOTH_HEIGHT 2.0 /* relative height below which to smoothen */
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#define DEM_MAXHEIGHT 9000.0 /* max height of DEM (estimated from Everest/Olympus Mons) */
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#define DEM_MAXDEPTH -10000 /* max depth of DEM */
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#define PLANET_SEALEVEL 0.0 /* sea level for flooded planet */
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#define PLANET_SEALEVEL -10000.0 /* sea level for flooded planet */
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#define VENUS_NODATA_FACTOR 0.5 /* altitude to assign to DEM points without data (fraction of mean altitude) */
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#define TRANSPARENT_WAVE 0 /* set to 1 for waves to be "transparent" */
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#define RSCALE 1.0 /* scaling factor of radial component */
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#define RMAX 10.0 /* max value of radial component */
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#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
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#define RMIN 0.5 /* min value of radial component */
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#define RSCALE 1.0 /* scaling factor of radial component */
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#define RMAX 1.1 /* max value of radial component */
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#define RMIN 0.9 /* min value of radial component */
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#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
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#define XY_SCALING_FACTOR 2.2 /* 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 0.0 /* overall x shift for REP_PROJ_3D representation */
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#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
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#define COS_VISIBLE -0.3 /* limit on cosine of normal to shown facets */
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#define COS_VISIBLE -0.02 /* limit on cosine of normal to shown facets */
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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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@@ -719,7 +709,7 @@ void viewpoint_schedule(int i)
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void animation()
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{
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double time, scale, ratio, startleft[2], startright[2], sign = 1.0, r2, xy[2], fade_value, yshift, speed = 0.0, a, b, c, angle = 0.0, lambda1, y, x1, sign1, omega, phase_shift, theta, amp;
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double time, scale, ratio, startleft[2], startright[2], sign = -1.0, r2, xy[2], fade_value, yshift, speed = 0.0, a, b, c, angle = 0.0, lambda1, y, x1, sign1, omega, phase_shift, theta, amp;
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double *phi, *psi, *tmp, *color_scale, *tc, *tcc, *tgamma;
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// double *total_energy;
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short int *xy_in;
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@@ -841,11 +831,11 @@ void animation()
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// init_moving_tidal_wave_sphere(0.0, 0.05, 0.025, phi, psi, xy_in, wsphere);
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init_moving_tidal_wave_sphere(0.0, 2.5, 1.25, phi, psi, xy_in, wsphere);
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// init_moving_tidal_wave_sphere(0.0, 2.5, 1.25, phi, psi, xy_in, wsphere);
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// init_circular_wave_sphere(0.0, -0.5, phi, psi, xy_in, wsphere);
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// init_wave_flat_sphere(phi, psi, xy_in, wsphere);
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init_wave_flat_sphere(phi, psi, xy_in, wsphere);
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// init_wave_flat_sphere(phi, psi, xy_in, wsphere);
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// for (j=0; j<6; j++)
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@@ -854,6 +844,31 @@ void animation()
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// add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + DPI/3.0, 0.15, phi, psi, xy_in, wsphere);
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// add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + 2.0*DPI/3.0, 0.15, phi, psi, xy_in, wsphere);
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for (j=0; j<5; j++)
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{
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a = circ_sphere[1].x + circ_sphere[2].x;
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b = circ_sphere[1].y + circ_sphere[2].y;
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c = 1.0 + circ_sphere[1].z + circ_sphere[2].z;
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theta = acos(c/sqrt(a*a + b*b + c*c));
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wave_source_x[4*j] = (double)j*DPI/5.0;
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wave_source_y[4*j] = PID - theta;
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wave_source_x[4*j+1] = (double)j*DPI/5.0 + PI/5.0;
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wave_source_y[4*j+1] = theta - PID;
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a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[6].x;
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b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[6].y;
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c = circ_sphere[1].z + circ_sphere[2].z + circ_sphere[6].z;
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theta = acos(c/sqrt(a*a + b*b + c*c));
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wave_source_x[4*j+2] = (double)j*DPI/5.0 + PI/5.0;
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wave_source_y[4*j+2] = theta - PID;
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wave_source_x[4*j+3] = (double)j*DPI/5.0;
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wave_source_y[4*j+3] = PID - theta;
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}
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// printf("Wave initialized\n");
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/* initialize table of wave speeds/dissipation */
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@@ -958,12 +973,11 @@ void animation()
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if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, fade, fade_value);
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/* add oscillating waves */
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// if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == OSCILLATING_SOURCE_PERIOD - 1))
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if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 1))
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{
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if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
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for (j=0; j<6; j++)
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add_circular_wave_sphere(sign, (double)j*PI/3.0, 0.925*PID, phi, psi, xy_in, wsphere);
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for (j=0; j<N_SOURCES; j++)
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add_circular_wave_sphere(sign,wave_source_x[j], wave_source_y[j], phi, psi, xy_in, wsphere);
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}
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if (PRINT_SPEED) print_speed_3d(speed, 0, 1.0);
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