1161 lines
51 KiB
C
1161 lines
51 KiB
C
/*********************************************************************************/
|
|
/* */
|
|
/* Animation of wave equation on a sphere */
|
|
/* */
|
|
/* N. Berglund, july 2023 */
|
|
/* */
|
|
/* Feel free to reuse, but if doing so it would be nice to drop a */
|
|
/* line to nils.berglund@univ-orleans.fr - Thanks! */
|
|
/* */
|
|
/* compile with */
|
|
/* gcc -o wave_sphere wave_sphere.c */
|
|
/* -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp */
|
|
/* */
|
|
/* OMP acceleration may be more effective after executing */
|
|
/* export OMP_NUM_THREADS=2 in the shell before running the program */
|
|
/* */
|
|
/* To make a video, set MOVIE to 1 and create subfolder tif_wave */
|
|
/* It may be possible to increase parameter PAUSE */
|
|
/* */
|
|
/* create movie using */
|
|
/* ffmpeg -i wave.%05d.tif -vcodec libx264 wave.mp4 */
|
|
/* */
|
|
/*********************************************************************************/
|
|
|
|
/*********************************************************************************/
|
|
/* */
|
|
/* NB: The algorithm used to simulate the wave equation is highly paralellizable */
|
|
/* One could make it much faster by using a GPU */
|
|
/* */
|
|
/*********************************************************************************/
|
|
|
|
#include <math.h>
|
|
#include <string.h>
|
|
#include <GL/glut.h>
|
|
#include <GL/glu.h>
|
|
#include <unistd.h>
|
|
#include <sys/types.h>
|
|
#include <tiffio.h> /* Sam Leffler's libtiff library. */
|
|
#include <omp.h>
|
|
#include <time.h>
|
|
|
|
#define MOVIE 0 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1150 /* window height */
|
|
#define NX 2560 /* number of grid points on x axis */
|
|
#define NY 1280 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */
|
|
#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.6 /* scaling for Julia sets */
|
|
#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */
|
|
#define JULIA_RE 0.5
|
|
#define JULIA_IM 0.462 /* parameters for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 31 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 20 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_FACTOR 3.25 /* controls density of Poisson disc process (default: 3.25) */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|
#define MU_B 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
#define WALL_WIDTH 0.6 /* width of wall separating lenses */
|
|
#define RADIUS_FACTOR 0.3 /* controls inner radius for C_RING arrangements */
|
|
|
|
#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 OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.1 /* Courant number */
|
|
#define COURANTB 0.005 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* 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 */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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 */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 25 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
#define ADD_FORCING 0 /* set to 1 to add periodic forcing */
|
|
#define FORCING_AMP 0.0 /* amplitude of periodic forcing */
|
|
#define FORCING_CONST_AMP 1.0e-10 /* amplitude of periodic forcing */
|
|
#define FORCING_PERIOD 2400 /* period of forcing */
|
|
|
|
#define DRIFT_WAVE 0 /* add drift of wave to the right (experimental) */
|
|
#define DRIFT_FREQ 5 /* frequency of drift adding (experimental) */
|
|
|
|
#define MOVING_FRAME 0 /* set to 1 to use wave equation in moving frame */
|
|
#define VOVERC 0.025 /* moving frame speed over wave speed */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
// #define NSTEPS 2800 /* number of frames of movie */
|
|
#define NSTEPS 1800 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* 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 PRINT_SPEED 0 /* set to 1 to print speed of moving source */
|
|
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|
#define PSLEEP 3 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 500 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 2.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.003 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 103 /* wave height */
|
|
#define CPLOT 103 /* color scheme */
|
|
|
|
#define ZPLOT_B 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|
#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */
|
|
#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */
|
|
#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#define NON_DIRICHLET_BC 1 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|
#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */
|
|
#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */
|
|
#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */
|
|
#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */
|
|
#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|
|
|
#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */
|
|
#define MAX_LATITUDE 45.0 /* maximal latitude for viewpoint trajectory VP_ORBIT2 */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#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 VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSHIFT_AMPLITUDE 0.0 /* additional shift for wave amplitude */
|
|
#define VSCALE_ENERGY 5.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 200.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.5 /* shift of colors on log scale */
|
|
#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|
#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define MESSAGE_LDASH 14 /* length of dash for Morse code message */
|
|
#define MESSAGE_LDOT 8 /* length of dot for Morse code message */
|
|
#define MESSAGE_LINTERVAL 54 /* length of interval between dashes/dots for Morse code message */
|
|
#define MESSAGE_LINTERLETTER 60 /* length of interval between letters for Morse code message */
|
|
#define MESSAGE_LSPACE 48 /* length of space for Morse code message */
|
|
#define MESSAGE_INITIAL_TIME 100 /* initial time before starting message for Morse code message */
|
|
|
|
#define NXMAZE 8 /* width of maze */
|
|
#define NYMAZE 32 /* height of maze */
|
|
#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 1 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 6.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
#define DRAW_MOON_POSITION 0 /* set to 1 to draw position of Moon (for tide simulation) */
|
|
|
|
#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */
|
|
#define VERTICAL_WAVE_PROFILE 0 /* set to 1 to draw wave profile vertically */
|
|
#define DRAW_WAVE_TIMESERIES 0 /* set to 1 to draw a time series of the wave */
|
|
#define TIMESERIES_NVALUES 400 /* number of values plotted in time series */
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
#define OSCIL_YMAX 0.35 /* defines oscillation range */
|
|
#define AVRG_E_FACTOR 0.95 /* controls time window size in P_AVERAGE_ENERGY scheme */
|
|
#define HORIZONTAL_WAVE_PROFILE 0 /* set to 1 to draw wave profile vertically */
|
|
#define WAVE_PROFILE_X 2.1 /* value of x to sample wave profile */
|
|
#define WAVE_PROFILE_Y -1.0 /* value of y to sample wave profile */
|
|
#define PROFILE_AT_BOTTOM 0 /* draw wave profile at bottom instead of top */
|
|
#define AVERAGE_WAVE_PROFILE 0 /* set to 1 to draw time-average of wave profile squared*/
|
|
#define TIMESERIES_NVALUES 400 /* number of values plotted in time series */
|
|
#define DRAW_WAVE_SOURCE 0 /* set to 1 to draw source of wave at (wave_source_x, wave_source_y) */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
#define HRES 1 /* dummy, only used by rde.c */
|
|
#define INITIAL_SHIFT 20.0 /* time shift of initial wave packet (in oscillation periods) */
|
|
#define WAVE_PACKET_SHIFT 200.0 /* time shift between wave packets (in oscillation periods) */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define N_SOURCES 20 /* number of sources, for option draw_sources */
|
|
#define XYIN_INITIALISED (B_DOMAIN == D_IMAGE)
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 5.0 /* max value of wave amplitude */
|
|
|
|
/* Parameters controlling 3D projection */
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {-5.0, -5.0, 3.5}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define ADD_DEM 0 /* add DEM (digital elevation model) */
|
|
#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */
|
|
#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */
|
|
#define SMOOTH_DEM 5 /* set to 1 to smoothen DEM (to make altitude less constant) */
|
|
#define DEM_SMOOTH_STEPS 1 /* number of smoothening steps */
|
|
#define DEM_SMOOTH_HEIGHT 2.0 /* relative height below which to smoothen */
|
|
#define DEM_MAXHEIGHT 9000.0 /* max height of DEM (estimated from Everest/Olympus Mons) */
|
|
#define DEM_MAXDEPTH -10000 /* max depth of DEM */
|
|
#define PLANET_SEALEVEL -10000.0 /* sea level for flooded planet */
|
|
#define VENUS_NODATA_FACTOR 0.5 /* altitude to assign to DEM points without data (fraction of mean altitude) */
|
|
#define TRANSPARENT_WAVE 0 /* set to 1 for waves to be "transparent" */
|
|
|
|
#define RSCALE 1.0 /* scaling factor of radial component */
|
|
#define RMAX 1.1 /* max value of radial component */
|
|
#define RMIN 0.9 /* min value of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.02 /* limit on cosine of normal to shown facets */
|
|
|
|
#include "global_pdes.c" /* constants and global variables */
|
|
#include "global_3d.c" /* constants and global variables */
|
|
#include "sub_maze.c" /* support for generating mazes */
|
|
#include "sub_wave.c" /* common functions for wave_billiard, heat and schrodinger */
|
|
#include "wave_common.c" /* common functions for wave_billiard, wave_comparison, etc */
|
|
|
|
#include "sub_wave_3d.c" /* graphical functions specific to wave_3d */
|
|
#include "sub_sphere.c" /* graphical functions specific to wave_sphere */
|
|
|
|
FILE *time_series_left, *time_series_right, *image_file;
|
|
|
|
double courant2, courantb2; /* Courant parameters squared */
|
|
|
|
void compute_forcing_schedule(int t, t_wave_sphere wsphere[NX*NY])
|
|
/* compute periodic forcing */
|
|
{
|
|
int i, j;
|
|
double phase;
|
|
|
|
phase = DPI*(double)t/(double)FORCING_PERIOD + ZERO_MERIDIAN*PI/180.0 + 0.5*PID;
|
|
|
|
for (i=0; i<NX; i++) for (j=0.0; j<NY; j++)
|
|
{
|
|
wsphere[i*NY+j].force = FORCING_AMP*wsphere[i*NY+j].stheta*sin(2.0*(wsphere[i*NY+j].phi - phase));
|
|
wsphere[i*NY+j].force += FORCING_CONST_AMP*wsphere[i*NY+j].stheta*cos(2.0*(wsphere[i*NY+j].phi));
|
|
}
|
|
|
|
moon_position = (int)((double)NX*(phase/DPI + 0.625));
|
|
while (moon_position < 0) moon_position += NX;
|
|
while (moon_position >= NX) moon_position -= NX;
|
|
|
|
// i = NX/2;
|
|
i = moon_position;
|
|
printf("Phase = %.5lg, Forcing at i = %i: %.5lg, Moon position = %i\n", phase, i, wsphere[i*NY+NY/2].force, moon_position);
|
|
}
|
|
|
|
|
|
void shift_fields(double phi[NX*NY], short int xy_in[NX*NY])
|
|
/* EXPERIMENTAL */
|
|
{
|
|
int i, j;
|
|
double temp;
|
|
|
|
#pragma omp parallel for private(j,i)
|
|
// for (j=DPOLE; j<NY-DPOLE; j++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
temp = phi[j];
|
|
for (i=0; i<NX-1; i++) if (xy_in[i*NY+j])
|
|
{
|
|
phi[i*NY+j] = phi[(i+1)*NY+j];
|
|
}
|
|
if (xy_in[j])
|
|
{
|
|
phi[(NX-1)*NY+j] = temp;
|
|
}
|
|
}
|
|
|
|
// for (j=0; j<NY; j++)
|
|
// {
|
|
// temp = phi[(NX-1)*NY+j];
|
|
// for (i=NX-1; i>1; i--) if (xy_in[i*NY+j])
|
|
// {
|
|
// phi[i*NY+j] = phi[(i-1)*NY+j];
|
|
// }
|
|
// if (xy_in[j])
|
|
// {
|
|
// phi[j] = temp;
|
|
// }
|
|
// }
|
|
|
|
/* smoothing at poles */
|
|
for (j=0; j<DPOLE; j++)
|
|
for (i=0; i<NX; i++)
|
|
phi[i*NY+j] = 0.0;
|
|
|
|
for (j=NY-DPOLE; j<NY; j++)
|
|
for (i=0; i<NX; i++)
|
|
phi[i*NY+j] = 0.0;
|
|
}
|
|
|
|
|
|
void evolve_wave_half(double phi_in[NX*NY], double psi_in[NX*NY], double phi_out[NX*NY],
|
|
short int xy_in[NX*NY], double tc[NX*NY], double tcc[NX*NY], double tgamma[NX*NY], t_wave_sphere wsphere[NX*NY], int t)
|
|
/* time step of field evolution */
|
|
/* phi is value of field at time t, psi at time t-1 */
|
|
/* this version of the function has been rewritten in order to minimize the number of if-branches */
|
|
{
|
|
int i, j, iplus, iminus, jplus, jminus, jtop, jbot;
|
|
double delta, x, y, c, cc, gamma, sintheta, cottheta, invstheta, sum, avrg, force;
|
|
double tmp_phi[NY];
|
|
static long time = 0;
|
|
static short int first = 1;
|
|
static double dphi, dtheta, cphiphi, ctheta, dt, vdrift;
|
|
static int counter = 0;
|
|
|
|
if (first)
|
|
{
|
|
dphi = DPI/(double)NX;
|
|
dtheta = PI/(double)NY;
|
|
cphiphi = dphi*dphi/(dtheta*dtheta);
|
|
ctheta = dphi*dphi/(2.0*dtheta);
|
|
dt = (double)NVID*COURANT*(XMAX-XMIN)/((double)NX);
|
|
vdrift = COURANT*VOVERC;
|
|
|
|
printf("dphi = %.5lg, dtheta = %.5lg, cphiphi = %.5lg, ctheta = %.5lg, dt = %.5lg\n", dphi, dtheta, cphiphi, ctheta, dt);
|
|
|
|
first = 0;
|
|
}
|
|
|
|
time++;
|
|
|
|
#pragma omp parallel for private(i,j,iplus,iminus,jplus,jminus,delta,x,y)
|
|
/* evolution in the bulk */
|
|
for (j=DPOLE; j<NY-DPOLE; j++){
|
|
// sintheta = sin(j*dtheta);
|
|
/* NEW: used wsphere to accelerate computation */
|
|
sintheta = wsphere[i*NY+j].stheta;
|
|
// invstheta = 1.0/(sintheta*sintheta);
|
|
invstheta = 1.0/(sintheta*sintheta + SMOOTHPOLE*SMOOTHPOLE);
|
|
// cottheta = ctheta*cos(j*dtheta)/sintheta;
|
|
// cottheta = ctheta*cos(j*dtheta)/(sintheta + SMOOTHPOLE);
|
|
cottheta = ctheta*wsphere[i*NY+j].ctheta/(sintheta + SMOOTHPOLE);
|
|
|
|
|
|
for (i=1; i<NX-1; i++){
|
|
if ((TWOSPEEDS)||(xy_in[i*NY+j] != 0)){
|
|
x = phi_in[i*NY+j];
|
|
y = psi_in[i*NY+j];
|
|
|
|
/* discretized Laplacian */
|
|
/* 2nd phi derivative */
|
|
delta = invstheta*(phi_in[(i+1)*NY+j] + phi_in[(i-1)*NY+j] - 2.0*x);
|
|
|
|
/* 2nd theta derivative */
|
|
delta += cphiphi*(phi_in[i*NY+j+1] + phi_in[i*NY+j-1] - 2.0*x);
|
|
|
|
/* first theta derivative */
|
|
delta += cottheta*(phi_in[i*NY+j+1] - phi_in[i*NY+j-1]);
|
|
|
|
/* evolve phi */
|
|
phi_out[i*NY+j] = -y + 2*x + tcc[i*NY+j]*delta - KAPPA*x - tgamma[i*NY+j]*(x-y);
|
|
|
|
if (ADD_FORCING) phi_out[i*NY+j] += wsphere[i*NY+j].force*dt;
|
|
|
|
if (MOVING_FRAME)
|
|
{
|
|
// phi_out[i*NY+j] += vdrift*wsphere[i*NY+j].stheta*(phi_in[(i+1)*NY+j] - phi_in[(i-1)*NY+j] - psi_in[(i+1)*NY+j] + psi_in[(i-1)*NY+j]);
|
|
phi_out[i*NY+j] += VOVERC*tc[i*NY+j]*wsphere[i*NY+j].stheta*(phi_in[(i+1)*NY+j] - phi_in[(i-1)*NY+j] - psi_in[(i+1)*NY+j] + psi_in[(i-1)*NY+j]);
|
|
/* the .stheta factor is not really correct, but prevents instability */
|
|
}
|
|
|
|
/* optional: add const*delta to smoothen ? */
|
|
}
|
|
}
|
|
}
|
|
|
|
/* evolution at longitude zero */
|
|
for (j=DPOLE; j<NY-DPOLE; j++){
|
|
// sintheta = sin(j*dtheta);
|
|
sintheta = wsphere[j].stheta;
|
|
invstheta = 1.0/(sintheta*sintheta + SMOOTHPOLE*SMOOTHPOLE);
|
|
// cottheta = ctheta*cos(j*dtheta)/(sintheta + SMOOTHPOLE);
|
|
cottheta = ctheta*wsphere[j].ctheta/(sintheta + SMOOTHPOLE);
|
|
|
|
|
|
/* i = 0 */
|
|
if ((TWOSPEEDS)||(xy_in[j] != 0)){
|
|
x = phi_in[j];
|
|
y = psi_in[j];
|
|
|
|
/* discretized Laplacian */
|
|
/* 2nd phi derivative */
|
|
delta = invstheta*(phi_in[NY+j] + phi_in[(NX-1)*NY+j] - 2.0*x);
|
|
|
|
/* 2nd theta derivative */
|
|
delta += cphiphi*(phi_in[j+1] + phi_in[j-1] - 2.0*x);
|
|
|
|
/* first theta derivative */
|
|
delta += cottheta*(phi_in[j+1] - phi_in[j-1]);
|
|
|
|
/* evolve phi */
|
|
phi_out[j] = -y + 2*x + tcc[j]*delta - KAPPA*x - tgamma[j]*(x-y);
|
|
|
|
if (ADD_FORCING) phi_out[j] += wsphere[j].force*dt;
|
|
|
|
if (MOVING_FRAME)
|
|
{
|
|
// phi_out[j] += vdrift*wsphere[j].stheta*(phi_in[NY+j] - phi_in[(NX-1)*NY+j] - psi_in[NY+j] + psi_in[(NX-1)*NY+j]);
|
|
phi_out[j] += VOVERC*tc[j]*wsphere[j].stheta*(phi_in[NY+j] - phi_in[(NX-1)*NY+j] - psi_in[NY+j] + psi_in[(NX-1)*NY+j]);
|
|
}
|
|
// if (j%100==0)
|
|
// printf("tcc*delta = %.5lg, forcing = %.5lg\n", tcc[j]*delta, forcing_schedule(t, i, 0, wsphere)*dt);
|
|
}
|
|
|
|
/* i = NX-1 */
|
|
if ((TWOSPEEDS)||(xy_in[(NX-1)*NY+j] != 0)){
|
|
x = phi_in[(NX-1)*NY+j];
|
|
y = psi_in[(NX-1)*NY+j];
|
|
|
|
/* discretized Laplacian */
|
|
/* 2nd phi derivative */
|
|
delta = invstheta*(phi_in[j] + phi_in[(NX-2)*NY+j] - 2.0*x);
|
|
|
|
/* 2nd theta derivative */
|
|
delta += cphiphi*(phi_in[(NX-1)*NY+j+1] + phi_in[(NX-1)*NY+j-1] - 2.0*x);
|
|
|
|
/* first theta derivative */
|
|
delta += cottheta*(phi_in[(NX-1)*NY+j+1] - phi_in[(NX-1)*NY+j-1]);
|
|
|
|
/* evolve phi */
|
|
phi_out[(NX-1)*NY+j] = -y + 2*x + tcc[(NX-1)*NY+j]*delta - KAPPA*x - tgamma[(NX-1)*NY+j]*(x-y);
|
|
|
|
if (ADD_FORCING) phi_out[(NX-1)*NY + j] += wsphere[(NX-1)*NY + j].force*dt;
|
|
|
|
if (MOVING_FRAME)
|
|
{
|
|
// phi_out[(NX-1)*NY+j] += vdrift*wsphere[(NX-1)*NY+j].stheta*(phi_in[j] - phi_in[(NX-2)*NY+j] - psi_in[j] + psi_in[(NX-2)*NY+j]);
|
|
phi_out[(NX-1)*NY+j] += VOVERC*tc[i*NY+j]*wsphere[(NX-1)*NY+j].stheta*(phi_in[j] - phi_in[(NX-2)*NY+j] - psi_in[j] + psi_in[(NX-2)*NY+j]);
|
|
}
|
|
}
|
|
}
|
|
|
|
/* compute average at north pole */
|
|
sum = 0.0;
|
|
// for (i=0; i<NX; i++) sum += phi_out[i*NY + DPOLE];
|
|
for (i=0; i<NX; i++) sum += phi_out[i*NY + DPOLE - 1];
|
|
avrg = sum/(double)NX;
|
|
for (i=0; i<NX; i++) for (j=0; j<DPOLE; j++)
|
|
phi_out[i*NY + j] = avrg;
|
|
|
|
/* compute average at south pole */
|
|
sum = 0.0;
|
|
// for (i=0; i<NX; i++) sum += phi_out[i*NY + NY-1-DPOLE];
|
|
for (i=0; i<NX; i++) sum += phi_out[i*NY + NY-DPOLE];
|
|
avrg = sum/(double)NX;
|
|
for (i=0; i<NX; i++) for (j=NY-DPOLE; j<NY; j++)
|
|
phi_out[i*NY + j] = avrg;
|
|
|
|
/* for debugging purposes/if there is a risk of blow-up */
|
|
if (FLOOR) for (i=0; i<NX; i++){
|
|
for (j=0; j<NY; j++){
|
|
if (xy_in[i*NY+j] != 0)
|
|
{
|
|
if (phi_out[i*NY+j] > VMAX) phi_out[i*NY+j] = VMAX;
|
|
if (phi_out[i*NY+j] < -VMAX) phi_out[i*NY+j] = -VMAX;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void evolve_wave(double phi[NX*NY], double psi[NX*NY], double tmp[NX*NY], short int xy_in[NX*NY],
|
|
double tc[NX*NY], double tcc[NX*NY], double tgamma[NX*NY], t_laplacian laplace[NX*NY], t_laplacian laplace1[NX*NY], t_laplacian laplace2[NX*NY], t_wave_sphere wsphere[NX*NY], int t)
|
|
/* time step of field evolution */
|
|
/* phi is value of field at time t, psi at time t-1 */
|
|
{
|
|
evolve_wave_half(phi, psi, tmp, xy_in, tc, tcc, tgamma, wsphere, t);
|
|
evolve_wave_half(tmp, phi, psi, xy_in, tc, tcc, tgamma, wsphere, t);
|
|
evolve_wave_half(psi, tmp, phi, xy_in, tc, tcc, tgamma, wsphere, t);
|
|
}
|
|
|
|
|
|
void draw_color_bar_palette(int plot, double range, int palette, int circular, int fade, double fade_value)
|
|
{
|
|
// double width = 0.2;
|
|
double width = 0.12;
|
|
// double width = 0.2;
|
|
|
|
width *= (double)NX/(double)WINWIDTH;
|
|
|
|
if (PLOT_2D)
|
|
{
|
|
if (ROTATE_COLOR_SCHEME)
|
|
draw_color_scheme_palette_fade(XMIN + 0.6, YMIN + 0.1, XMAX - 0.6, YMIN + 0.1 + width, plot, -range, range, palette, fade, fade_value);
|
|
else
|
|
draw_color_scheme_palette_fade(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
|
|
}
|
|
else
|
|
{
|
|
if (ROTATE_COLOR_SCHEME)
|
|
draw_color_scheme_palette_3d(-1.0, -0.8, XMAX - 0.1, -1.0, plot, -range, range, palette, fade, fade_value);
|
|
else if (circular)
|
|
draw_circular_color_scheme_palette_3d(XMAX - 2.0*width, YMIN + 2.0*width, 1.5*width, 1.3*width, plot, -range, range, palette, fade, fade_value);
|
|
else
|
|
draw_color_scheme_palette_3d(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
|
|
}
|
|
|
|
}
|
|
|
|
void viewpoint_schedule(int i)
|
|
/* change position of observer */
|
|
{
|
|
int j;
|
|
double angle, ca, sa, r1, interpolate, rho;
|
|
static double observer_initial[3], r, ratio, rho0, zmax;
|
|
static int first = 1;
|
|
|
|
if (first)
|
|
{
|
|
for (j=0; j<3; j++) observer_initial[j] = observer[j];
|
|
r1 = observer[0]*observer[0] + observer[1]*observer[1];
|
|
r = sqrt(r1 + observer[2]*observer[2]);
|
|
ratio = r/sqrt(r1);
|
|
rho0 = module2(observer[0], observer[1]);
|
|
if (vabs(rho0) < 0.001) rho0 = 0.001;
|
|
zmax = r*sin(MAX_LATITUDE*PI/180.0);
|
|
first = 0;
|
|
}
|
|
|
|
interpolate = (double)i/(double)NSTEPS;
|
|
angle = (ROTATE_ANGLE*DPI/360.0)*interpolate;
|
|
ca = cos(angle);
|
|
sa = sin(angle);
|
|
switch (VIEWPOINT_TRAJ)
|
|
{
|
|
case (VP_HORIZONTAL):
|
|
{
|
|
observer[0] = ca*observer_initial[0] - sa*observer_initial[1];
|
|
observer[1] = sa*observer_initial[0] + ca*observer_initial[1];
|
|
break;
|
|
}
|
|
case (VP_ORBIT):
|
|
{
|
|
observer[0] = ca*observer_initial[0] - sa*observer_initial[1]*ratio;
|
|
observer[1] = ca*observer_initial[1] + sa*observer_initial[0]*ratio;
|
|
observer[2] = ca*observer_initial[2];
|
|
break;
|
|
}
|
|
case (VP_ORBIT2):
|
|
{
|
|
observer[0] = ca*observer_initial[0] - sa*observer_initial[1]*ratio;
|
|
observer[1] = ca*observer_initial[1] + sa*observer_initial[0]*ratio;
|
|
observer[2] = sa*zmax;
|
|
break;
|
|
}
|
|
case (VP_POLAR):
|
|
{
|
|
rho = -sa*observer_initial[2] + ca*rho0;
|
|
observer[0] = observer_initial[0]*rho/rho0;
|
|
observer[1] = observer_initial[1]*rho/rho0;
|
|
observer[2] = ca*observer_initial[2] + sa*rho0;
|
|
break;
|
|
}
|
|
}
|
|
|
|
printf("Angle %.3lg, Observer position (%.3lg, %.3lg, %.3lg)\n", angle, observer[0], observer[1], observer[2]);
|
|
}
|
|
|
|
|
|
void animation()
|
|
{
|
|
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;
|
|
double *phi, *psi, *tmp, *color_scale, *tc, *tcc, *tgamma;
|
|
// double *total_energy;
|
|
short int *xy_in;
|
|
int i, j, s, sample_left[2], sample_right[2], period = 0, fade, source_counter = 0, k, p, q, drift_counter = 0;
|
|
static int counter = 0, first_source = 1;
|
|
long int wave_value;
|
|
t_wave *wave;
|
|
t_laplacian *laplace, *laplace1, *laplace2;
|
|
t_wave_source wave_source[25];
|
|
t_wave_sphere *wsphere;
|
|
|
|
if (SAVE_TIME_SERIES)
|
|
{
|
|
time_series_left = fopen("wave_left.dat", "w");
|
|
time_series_right = fopen("wave_right.dat", "w");
|
|
}
|
|
|
|
/* Since NX and NY are big, it seemed wiser to use some memory allocation here */
|
|
xy_in = (short int *)malloc(NX*NY*sizeof(short int));
|
|
phi = (double *)malloc(NX*NY*sizeof(double));
|
|
psi = (double *)malloc(NX*NY*sizeof(double));
|
|
tmp = (double *)malloc(NX*NY*sizeof(double));
|
|
// total_energy = (double *)malloc(NX*NY*sizeof(double));
|
|
color_scale = (double *)malloc(NX*NY*sizeof(double));
|
|
tc = (double *)malloc(NX*NY*sizeof(double));
|
|
tcc = (double *)malloc(NX*NY*sizeof(double));
|
|
tgamma = (double *)malloc(NX*NY*sizeof(double));
|
|
|
|
wave = (t_wave *)malloc(NX*NY*sizeof(t_wave));
|
|
wsphere = (t_wave_sphere *)malloc(NX*NY*sizeof(t_wave_sphere));
|
|
|
|
laplace = (t_laplacian *)malloc(NX*NY*sizeof(t_laplacian));
|
|
laplace1 = (t_laplacian *)malloc(NX*NY*sizeof(t_laplacian));
|
|
laplace2 = (t_laplacian *)malloc(NX*NY*sizeof(t_laplacian));
|
|
|
|
/* initialise positions and radii of circles */
|
|
if (COMPARISON)
|
|
{
|
|
if ((B_DOMAIN == D_CIRCLES)||(B_DOMAIN == D_CIRCLES_IN_RECT))
|
|
ncircles = init_circle_config_pattern(circles, CIRCLE_PATTERN);
|
|
else if (B_DOMAIN == D_POLYGONS) ncircles = init_polygon_config_pattern(polygons, CIRCLE_PATTERN);
|
|
|
|
if ((B_DOMAIN_B == D_CIRCLES)||(B_DOMAIN_B == D_CIRCLES_IN_RECT))
|
|
ncircles_b = init_circle_config_pattern(circles_b, CIRCLE_PATTERN_B);
|
|
else if (B_DOMAIN_B == D_POLYGONS) ncircles_b = init_polygon_config_pattern(polygons_b, CIRCLE_PATTERN_B);
|
|
/* TO DO: adapt to different polygon patterns */
|
|
}
|
|
else
|
|
{
|
|
if ((B_DOMAIN == D_CIRCLES)||(B_DOMAIN == D_CIRCLES_IN_RECT)) ncircles = init_circle_config(circles);
|
|
else if (B_DOMAIN == D_POLYGONS) ncircles = init_polygon_config(polygons);
|
|
}
|
|
|
|
printf("Polygons initialized\n");
|
|
|
|
/* initialise polyline for von Koch and similar domains */
|
|
npolyline = init_polyline(MDEPTH, polyline);
|
|
for (i=0; i<npolyline; i++) printf("vertex %i: (%.3f, %.3f)\n", i, polyline[i].x, polyline[i].y);
|
|
if (COMPARISON) npolyline_b = init_polyline(MDEPTH, polyline);
|
|
|
|
npolyrect = init_polyrect(polyrect);
|
|
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);
|
|
|
|
init_polyrect_arc(polyrectrot, polyarc, &npolyrect_rot, &npolyarc);
|
|
printf("Rotated rectangles and arcs initialized\n");
|
|
printf("%i rotated rectangles, %i arcs\n", npolyrect_rot, npolyarc);
|
|
|
|
if ((B_DOMAIN == D_SPHERE_CIRCLES)||(B_DOMAIN_B == D_SPHERE_CIRCLES))
|
|
{
|
|
ncircles = init_circle_sphere(circ_sphere, CIRCLE_PATTERN);
|
|
}
|
|
|
|
courant2 = COURANT*COURANT;
|
|
courantb2 = COURANTB*COURANTB;
|
|
c = COURANT*(XMAX - XMIN)/(double)NX;
|
|
|
|
a = 0.05;
|
|
b = 0.0016;
|
|
|
|
/* initialize color scale, for option RESCALE_COLOR_IN_CENTER */
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
ij_to_xy(i, j, xy);
|
|
r2 = xy[0]*xy[0] + xy[1]*xy[1];
|
|
color_scale[i*NY+j] = 1.0 - exp(-4.0*r2/LAMBDA*LAMBDA);
|
|
}
|
|
}
|
|
|
|
/* initialize wave with a drop at one point, zero elsewhere */
|
|
// init_circular_wave(0.0, -LAMBDA, phi, psi, xy_in);
|
|
|
|
|
|
init_wave_fields(wave);
|
|
|
|
init_wave_sphere(wsphere);
|
|
|
|
/* initialize total energy table - no longer needed */
|
|
// if ((ZPLOT == P_MEAN_ENERGY)||(ZPLOT_B == P_MEAN_ENERGY)||(ZPLOT == P_LOG_MEAN_ENERGY)||(ZPLOT_B == P_LOG_MEAN_ENERGY))
|
|
// for (i=0; i<NX; i++)
|
|
// for (j=0; j<NY; j++)
|
|
// total_energy[i*NY+j] = 0.0;
|
|
|
|
ratio = (XMAX - XMIN)/8.4; /* for Tokarsky billiard */
|
|
|
|
|
|
// init_circular_wave_mod(polyline[85].x, polyline[85].y, phi, psi, xy_in);
|
|
// init_circular_wave_mod(LAMBDA*cos(APOLY*PID), LAMBDA*sin(APOLY*PID), phi, psi, xy_in);
|
|
lambda1 = LAMBDA;
|
|
angle = DPI/(double)NPOLY;
|
|
// init_circular_wave_mod(lambda1*cos(0.5*angle), lambda1*sin(0.5*angle), phi, psi, xy_in);
|
|
// for (j=1; j<NPOLY; j++)
|
|
// add_circular_wave_mod(1.0, lambda1*cos(((double)j+0.5)*angle), lambda1*sin(((double)j+0.5)*angle), phi, psi, xy_in);
|
|
|
|
/* Kilauea, Hawaii, USA */
|
|
// init_circular_wave_sphere(155.2867*PI/180.0, 19.42109*PI/180.0, phi, psi, xy_in, wsphere);
|
|
|
|
// init_moving_tidal_wave_sphere(0.0, 0.05, 0.025, phi, psi, xy_in, wsphere);
|
|
|
|
// init_moving_tidal_wave_sphere(0.0, 2.5, 1.25, phi, psi, xy_in, wsphere);
|
|
|
|
// init_circular_wave_sphere(0.0, -0.5, phi, psi, xy_in, wsphere);
|
|
|
|
init_wave_flat_sphere(phi, psi, xy_in, wsphere);
|
|
|
|
// init_wave_flat_sphere(phi, psi, xy_in, wsphere);
|
|
// for (j=0; j<6; j++)
|
|
// add_circular_wave_sphere(1.0, (double)j*PI/3.0, 0.925*PID, phi, psi, xy_in, wsphere);
|
|
|
|
// add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + DPI/3.0, 0.15, phi, psi, xy_in, wsphere);
|
|
// add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + 2.0*DPI/3.0, 0.15, phi, psi, xy_in, wsphere);
|
|
|
|
for (j=0; j<5; j++)
|
|
{
|
|
a = circ_sphere[1].x + circ_sphere[2].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y;
|
|
c = 1.0 + circ_sphere[1].z + circ_sphere[2].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
|
|
wave_source_x[4*j] = (double)j*DPI/5.0;
|
|
wave_source_y[4*j] = PID - theta;
|
|
wave_source_x[4*j+1] = (double)j*DPI/5.0 + PI/5.0;
|
|
wave_source_y[4*j+1] = theta - PID;
|
|
|
|
a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[6].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[6].y;
|
|
c = circ_sphere[1].z + circ_sphere[2].z + circ_sphere[6].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
|
|
wave_source_x[4*j+2] = (double)j*DPI/5.0 + PI/5.0;
|
|
wave_source_y[4*j+2] = theta - PID;
|
|
wave_source_x[4*j+3] = (double)j*DPI/5.0;
|
|
wave_source_y[4*j+3] = PID - theta;
|
|
|
|
}
|
|
|
|
|
|
// printf("Wave initialized\n");
|
|
|
|
/* initialize table of wave speeds/dissipation */
|
|
init_speed_dissipation_sphere(xy_in, tc, tcc, tgamma, wsphere);
|
|
|
|
|
|
|
|
/* initialze potential to add to z coordinate */
|
|
if (ADD_POTENTIAL)
|
|
{
|
|
if (POTENTIAL == POT_IOR)
|
|
for (i=0; i<NX*NY; i++)
|
|
wave[i].potential = &tcc[i];
|
|
}
|
|
|
|
init_zfield(phi, psi, xy_in, ZPLOT, wave, 0);
|
|
init_cfield(phi, psi, xy_in, CPLOT, wave, 0);
|
|
|
|
if (DOUBLE_MOVIE)
|
|
{
|
|
init_zfield(phi, psi, xy_in, ZPLOT_B, wave, 1);
|
|
init_cfield(phi, psi, xy_in, CPLOT_B, wave, 1);
|
|
}
|
|
|
|
blank();
|
|
glColor3f(0.0, 0.0, 0.0);
|
|
draw_wave_sphere(0, phi, psi, xy_in, wave, wsphere, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
|
|
// draw_billiard();
|
|
|
|
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 0, 1.0);
|
|
|
|
glutSwapBuffers();
|
|
|
|
|
|
|
|
sleep(SLEEP1);
|
|
|
|
for (i=0; i<=INITIAL_TIME + NSTEPS; i++)
|
|
{
|
|
global_time++;
|
|
|
|
//printf("%d\n",i);
|
|
/* compute the variance of the field to adjust color scheme */
|
|
/* the color depends on the field divided by sqrt(1 + variance) */
|
|
if (SCALE)
|
|
{
|
|
scale = sqrt(1.0 + compute_variance_mod(phi,psi, xy_in));
|
|
// printf("Scaling factor: %5lg\n", scale);
|
|
}
|
|
else scale = 1.0;
|
|
|
|
if (ROTATE_VIEW)
|
|
{
|
|
viewpoint_schedule(i - INITIAL_TIME);
|
|
reset_view = 1;
|
|
}
|
|
|
|
if (ADD_FORCING) compute_forcing_schedule(i, wsphere);
|
|
|
|
draw_wave_sphere(0, phi, psi, xy_in, wave, wsphere, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
|
|
|
|
for (j=0; j<NVID; j++)
|
|
{
|
|
evolve_wave(phi, psi, tmp, xy_in, tc, tcc, tgamma, laplace, laplace1, laplace2, wsphere, i);
|
|
if (SAVE_TIME_SERIES)
|
|
{
|
|
wave_value = (long int)(phi[sample_left[0]*NY+sample_left[1]]*1.0e16);
|
|
fprintf(time_series_left, "%019ld\n", wave_value);
|
|
wave_value = (long int)(phi[sample_right[0]*NY+sample_right[1]]*1.0e16);
|
|
fprintf(time_series_right, "%019ld\n", wave_value);
|
|
if ((j == 0)&&(i%10 == 0)) printf("Frame %i of %i\n", i, NSTEPS);
|
|
// fprintf(time_series_right, "%.15f\n", phi[sample_right[0]][sample_right[1]]);
|
|
|
|
/* Experimental */
|
|
if (DRIFT_WAVE)
|
|
{
|
|
if (drift_counter == DRIFT_FREQ)
|
|
{
|
|
shift_fields(phi, xy_in);
|
|
shift_fields(psi, xy_in);
|
|
shift_fields(tmp, xy_in); /* needed? */
|
|
drift_counter = 0;
|
|
}
|
|
else drift_counter++;
|
|
}
|
|
}
|
|
// if (i % 10 == 9) oscillate_linear_wave(0.2*scale, 0.15*(double)(i*NVID + j), -1.5, YMIN, -1.5, YMAX, phi, psi);
|
|
}
|
|
|
|
/* Experimental */
|
|
// if (DRIFT_WAVE != 0)
|
|
// if (i%DRIFT_FREQ == 0)
|
|
// {
|
|
// shift_fields(phi, xy_in);
|
|
// shift_fields(psi, xy_in);
|
|
// shift_fields(tmp, xy_in); /* needed? */
|
|
// }
|
|
|
|
// draw_billiard();
|
|
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, fade, fade_value);
|
|
|
|
/* add oscillating waves */
|
|
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 1))
|
|
{
|
|
if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
|
|
for (j=0; j<N_SOURCES; j++)
|
|
add_circular_wave_sphere(sign,wave_source_x[j], wave_source_y[j], phi, psi, xy_in, wsphere);
|
|
}
|
|
if (PRINT_SPEED) print_speed_3d(speed, 0, 1.0);
|
|
|
|
if (!((NO_EXTRA_BUFFER_SWAP)&&(MOVIE))) glutSwapBuffers();
|
|
|
|
if (MOVIE)
|
|
{
|
|
if (i >= INITIAL_TIME) save_frame();
|
|
// if (i >= INITIAL_TIME) save_frame_counter(i);
|
|
// if (i >= INITIAL_TIME) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter);
|
|
else printf("Initial phase time %i of %i\n", i, INITIAL_TIME);
|
|
|
|
if ((i >= INITIAL_TIME)&&(DOUBLE_MOVIE))
|
|
{
|
|
draw_wave_sphere(1, phi, psi, xy_in, wave, wsphere, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 0, 1.0);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 0, 1.0);
|
|
glutSwapBuffers();
|
|
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter);
|
|
// save_frame_counter(i);
|
|
counter++;
|
|
}
|
|
else if (NO_EXTRA_BUFFER_SWAP) glutSwapBuffers();
|
|
|
|
/* it seems that saving too many files too fast can cause trouble with the file system */
|
|
/* so this is to make a pause from time to time - parameter PAUSE may need adjusting */
|
|
if (i % PAUSE == PAUSE - 1)
|
|
{
|
|
printf("Making a short pause\n");
|
|
sleep(PSLEEP);
|
|
s = system("mv wave*.tif tif_wave/");
|
|
}
|
|
}
|
|
else printf("Computing frame %i\n", i);
|
|
|
|
}
|
|
|
|
if (MOVIE)
|
|
{
|
|
if (DOUBLE_MOVIE)
|
|
{
|
|
draw_wave_sphere(0, phi, psi, xy_in, wave, wsphere, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 0, 1.0);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 0, 1.0);
|
|
glutSwapBuffers();
|
|
|
|
if (!FADE) for (i=0; i<MID_FRAMES; i++) save_frame();
|
|
else for (i=0; i<MID_FRAMES; i++)
|
|
{
|
|
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
|
|
{
|
|
viewpoint_schedule(NSTEPS - INITIAL_TIME + i);
|
|
reset_view = 1;
|
|
}
|
|
fade_value = 1.0 - (double)i/(double)MID_FRAMES;
|
|
draw_wave_sphere(0, phi, psi, xy_in, wave, wsphere, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 1, fade_value);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 1, fade_value);
|
|
if (!NO_EXTRA_BUFFER_SWAP) glutSwapBuffers();
|
|
save_frame_counter(NSTEPS + i + 1);
|
|
}
|
|
|
|
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
|
|
{
|
|
viewpoint_schedule(NSTEPS - INITIAL_TIME);
|
|
reset_view = 1;
|
|
}
|
|
draw_wave_sphere(1, phi, psi, xy_in, wave, wsphere, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 0, 1.0);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 0, 1.0);
|
|
glutSwapBuffers();
|
|
|
|
if (!FADE) for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
|
|
else for (i=0; i<END_FRAMES; i++)
|
|
{
|
|
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
|
|
{
|
|
viewpoint_schedule(NSTEPS - INITIAL_TIME + i);
|
|
reset_view = 1;
|
|
}
|
|
fade_value = 1.0 - (double)i/(double)END_FRAMES;
|
|
draw_wave_sphere(1, phi, psi, xy_in, wave, wsphere, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 1, fade_value);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 1, fade_value);
|
|
glutSwapBuffers();
|
|
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (!FADE) for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
|
|
else for (i=0; i<END_FRAMES; i++)
|
|
{
|
|
if ((ROTATE_VIEW)&&(ROTATE_VIEW_WHILE_FADE))
|
|
{
|
|
viewpoint_schedule(NSTEPS - INITIAL_TIME + i);
|
|
reset_view = 1;
|
|
}
|
|
fade_value = 1.0 - (double)i/(double)END_FRAMES;
|
|
draw_wave_sphere(0, phi, psi, xy_in, wave, wsphere, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 1);
|
|
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 1, fade_value);
|
|
if (PRINT_SPEED) print_speed_3d(speed, 1, fade_value);
|
|
glutSwapBuffers();
|
|
save_frame_counter(NSTEPS + 1 + counter + i);
|
|
}
|
|
}
|
|
|
|
s = system("mv wave*.tif tif_wave/");
|
|
}
|
|
|
|
free(xy_in);
|
|
free(phi);
|
|
free(psi);
|
|
free(tmp);
|
|
// free(total_energy);
|
|
free(color_scale);
|
|
free(tc);
|
|
free(tcc);
|
|
free(tgamma);
|
|
|
|
free(wave);
|
|
free(laplace);
|
|
free(laplace1);
|
|
free(laplace2);
|
|
|
|
|
|
if (SAVE_TIME_SERIES)
|
|
{
|
|
fclose(time_series_left);
|
|
fclose(time_series_right);
|
|
}
|
|
}
|
|
|
|
|
|
void display(void)
|
|
{
|
|
time_t rawtime;
|
|
struct tm * timeinfo;
|
|
|
|
time(&rawtime);
|
|
timeinfo = localtime(&rawtime);
|
|
|
|
glPushMatrix();
|
|
|
|
blank();
|
|
glutSwapBuffers();
|
|
blank();
|
|
glutSwapBuffers();
|
|
|
|
animation();
|
|
sleep(SLEEP2);
|
|
|
|
glPopMatrix();
|
|
|
|
glutDestroyWindow(glutGetWindow());
|
|
|
|
printf("Start local time and date: %s", asctime(timeinfo));
|
|
time(&rawtime);
|
|
timeinfo = localtime(&rawtime);
|
|
printf("Current local time and date: %s", asctime(timeinfo));
|
|
}
|
|
|
|
|
|
int main(int argc, char** argv)
|
|
{
|
|
glutInit(&argc, argv);
|
|
glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH);
|
|
glutInitWindowSize(WINWIDTH,WINHEIGHT);
|
|
glutCreateWindow("Wave equation in a planar domain");
|
|
|
|
if (PLOT_2D) init_sphere_2D();
|
|
else init_3d();
|
|
|
|
glutDisplayFunc(display);
|
|
|
|
glutMainLoop();
|
|
|
|
return 0;
|
|
}
|
|
|