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nilsberglund-orleans
2021-12-28 15:42:56 +01:00
committed by GitHub
parent 41a06797c1
commit 416366d8da
17 changed files with 2571 additions and 379 deletions
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147
particle_billiard.c
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@@ -32,11 +32,8 @@
#define MOVIE 1 /* set to 1 to generate movie */
// #define WINWIDTH 1280 /* window width */
// #define WINHEIGHT 720 /* window height */
#define WINWIDTH 1920 /* window width */
#define WINHEIGHT 1080 /* window height */
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
@@ -50,7 +47,7 @@
#define B_DOMAIN 30 /* choice of domain shape */
#define CIRCLE_PATTERN 1 /* pattern of circles */
#define POLYLINE_PATTERN 1 /* pattern of polyline */
#define POLYLINE_PATTERN 6 /* pattern of polyline */
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
@@ -64,10 +61,8 @@
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
#define SDEPTH 1 /* Sierpinski gastket depth */
#define LAMBDA 1.8 /* parameter controlling shape of domain */
#define MU 0.01 /* second parameter controlling shape of billiard */
// #define LAMBDA 0.3 /* parameter controlling shape of domain */
// #define MU 0.7 /* second parameter controlling shape of billiard */
#define LAMBDA 0.8 /* parameter controlling shape of domain */
#define MU 0.0025 /* second parameter controlling shape of billiard */
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
#define NPOLY 6 /* number of sides of polygon */
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
@@ -80,21 +75,21 @@
/* Simulation parameters */
#define NPART 5000 /* number of particles */
#define NPART 1 /* number of particles */
#define NPARTMAX 100000 /* maximal number of particles after resampling */
#define LMAX 0.01 /* minimal segment length triggering resampling */
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
#define PRINT_COLLISION_NUMBER 1 /* set to 1 to print number of collisions */
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
#define NSTEPS 5000 /* number of frames of movie */
#define TIME 400 /* time between movie frames, for fluidity of real-time simulation */
// #define DPHI 0.00001 /* integration step */
#define DPHI 0.00005 /* integration step */
#define NVID 150 /* number of iterations between images displayed on screen */
#define NSTEPS 9000 /* number of frames of movie */
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
#define DPHI 0.00001 /* integration step */
#define NVID 300 /* number of iterations between images displayed on screen */
/* Decreasing TIME accelerates the animation and the movie */
/* For constant speed of movie, TIME*DPHI should be kept constant */
@@ -104,23 +99,23 @@
/* Colors and other graphical parameters */
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
#define NCOLORS 16 /* number of colors */
#define NCOLORS 32 /* number of colors */
#define COLORSHIFT 0 /* hue of initial color */
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
#define NSEG 100 /* number of segments of boundary */
#define LENGTH 0.025 /* length of velocity vectors */
#define BILLIARD_WIDTH 3 /* width of billiard */
#define PARTICLE_WIDTH 2 /* width of particles */
#define LENGTH 0.015 /* length of velocity vectors */
#define BILLIARD_WIDTH 2 /* width of billiard */
#define PARTICLE_WIDTH 3 /* width of particles */
#define FRONT_WIDTH 3 /* width of wave front */
#define BLACK 1 /* set to 1 for black background */
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
#define OUTER_COLOR 270.0 /* color outside billiard */
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
#define PAINT_EXT 0 /* set to 1 to paint exterior */
#define PAINT_EXT 1 /* set to 1 to paint exterior */
#define PAUSE 1000 /* number of frames after which to pause */
#define PSLEEP 1 /* sleep time during pause */
@@ -131,6 +126,7 @@
#include "global_particles.c"
#include "sub_part_billiard.c"
int ncollisions = 0;
/*********************/
/* animation part */
@@ -253,11 +249,17 @@ void init_line_config(double x0, double y0, double x1, double y1, double angle,
}
}
void draw_zoom(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPARTMAX], double x_target, double y_target, double width)
void draw_zoom(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPARTMAX],
double x_target, double y_target, double width, double shiftx, double shifty, double zoomwidth, int shooter)
/* draw zoom around target (for laser in room of mirrors) */
{
int i;
double x1, y1, x2, y2, xb, yb, cosphi, sinphi, rgb[3], shiftx = 0.0, shifty = 0.65, tradius, phi, zoomwidth = 0.4;
double x1, y1, x2, y2, xb, yb, cosphi, sinphi, rgb[3], tradius, phi;
// double x1, y1, x2, y2, xb, yb, cosphi, sinphi, rgb[3], shiftx = 0.0, shifty = 0.65, tradius, phi, zoomwidth = 0.4;
// shiftx = 1.65;
// shifty = 0.75;
// zoomwidth = 0.3;
glEnable(GL_LINE_SMOOTH);
glColor3f(1.0, 1.0, 1.0);
@@ -308,17 +310,10 @@ void draw_zoom(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPARTM
/* draw target in zoom */
glLineWidth(BILLIARD_WIDTH*2);
glColor3f(0.0, 0.8, 0.2);
glBegin(GL_LINE_LOOP);
if (shooter) glColor3f(1.0, 0.0, 0.0);
else glColor3f(0.0, 0.8, 0.2);
tradius = zoomwidth*MU/width;
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x1 = shiftx + tradius*cos(phi);
y1 = shifty + tradius*sin(phi);
glVertex2d(x1, y1);
}
glEnd ();
draw_circle(shiftx, shifty, tradius, NSEG);
// glLineWidth(PARTICLE_WIDTH*2);
@@ -442,7 +437,12 @@ void draw_config_showtrails(int color[NPARTMAX], double *configs[NPARTMAX], int
}
if (DRAW_BILLIARD) draw_billiard();
if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
if (SHOWZOOM)
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
}
// if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
}
@@ -547,7 +547,12 @@ void draw_config(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPAR
}
if (DRAW_BILLIARD) draw_billiard();
if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
if (SHOWZOOM)
{
draw_zoom(color, configs, active, x_target, y_target, 0.1, 1.65, 0.75, 0.3, 0);
draw_zoom(color, configs, active, x_shooter, y_shooter, 0.1, -1.65, 0.75, 0.3, 1);
}
// if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
}
@@ -564,7 +569,9 @@ void graph_movie(int time, int color[NPARTMAX], double *configs[NPARTMAX], int a
{
// printf("reflecting particle %i\n", i);
c = vbilliard(configs[i]);
if ((ABSORBING_CIRCLES)&&(c < 0)) active[i] = 0;
else ncollisions++;
// if (c>=0) color[i]++;
if ((!RAINBOW_COLOR)&&(c>=0)) color[i]++;
if (!RAINBOW_COLOR)
@@ -606,13 +613,25 @@ void print_part_number(double *configs[NPARTMAX], int active[NPARTMAX], double x
}
void print_collision_number(int ncollisions, double x, double y)
{
char message[50];
double rgb[3];
hsl_to_rgb(0.0, 0.0, 0.0, rgb);
erase_area(x, y, 0.5, 0.1, rgb);
glColor3f(1.0, 1.0, 1.0);
sprintf(message, "%i collisions", ncollisions);
write_text(x, y, message);
}
void animation()
{
double time, dt, alpha, r, rgb[3];
double time, dt, alpha, r, rgb[3], alphamax;
double *configs[NPARTMAX];
int i, j, resamp = 1, s, i1, i2;
int i, j, resamp = 1, s, i1, i2, c, lengthmax;
int *color, *newcolor, *active;
// t_circle *circles; /* experimental */
@@ -630,7 +649,15 @@ void animation()
||(B_DOMAIN == D_CIRCLES_IN_TORUS)) init_circles(circles);
else if (B_DOMAIN == D_POLYLINE) init_polyline(polyline, circles);
if (POLYLINE_PATTERN == P_TOKA_PRIME)
{
x_shooter = -polyline[84].x1;
y_shooter = polyline[84].y1;
x_target = polyline[84].x1;
y_target = polyline[84].y1;
}
/* initialize system by putting particles in a given point with a range of velocities */
r = cos(PI/(double)NPOLY)/cos(DPI/(double)NPOLY);
@@ -642,8 +669,35 @@ void animation()
// init_drop_config(-1.0 + 0.3*sqrt(2.0), -1.0 + 0.5*sqrt(2.0), 0.0, DPI, configs);
// init_line_config(-1.25, -0.5, -1.25, 0.5, 0.0, configs);
// init_drop_config(0.0, 0.0, -PI, PI, configs);
init_drop_config(-0.95, 0.0, PI, 3.0*PI, configs);
// init_drop_config(-0.95, 0.0, -0.103 + DPI/15.0, -0.1 + DPI/15.0, configs);
/* find long trajectory */
// alphamax = 0.0;
// lengthmax = 1;
// for (alpha = 0.0; alpha < DPI; alpha += 0.00001)
// {
// init_drop_config(x_shooter, y_shooter, alpha, alpha + DPI, configs);
// i = 0;
// c = 1;
// while ((c >= 0)&&(i<=1000))
// {
// c = vbilliard(configs[0]);
// i++;
// }
// if (i > 100) printf("Angle %.6lg, length %i\n", alpha, i);
// if (i > lengthmax)
// {
// lengthmax = i;
// alphamax = alpha;
// }
// }
// printf("Angle %.6lg, max length %i\n", alphamax, lengthmax);
alphamax = 2.50949;
init_drop_config(x_shooter, y_shooter, alphamax, alphamax + DPI, configs);
// init_drop_config(-0.95, 0.0, 1.0, 1.0 + DPI, configs);
// init_drop_config(-1.3, -0.1, 0.0, DPI, configs);
// init_drop_config(1.4, 0.1, 0.0, DPI, configs);
// init_drop_config(0.5, 0.5, -1.0, 1.0, configs);
@@ -663,7 +717,8 @@ void animation()
glColor3f(0.0, 0.0, 0.0);
if (DRAW_BILLIARD) draw_billiard();
if (PRINT_PARTICLE_NUMBER) print_part_number(configs, active, XMIN + 0.1, YMIN + 0.1);
else if (PRINT_COLLISION_NUMBER) print_collision_number(ncollisions, XMIN + 0.1, YMIN + 0.1);
glutSwapBuffers();
@@ -716,6 +771,8 @@ void animation()
// draw_config(newcolor, configs, active);
if (DRAW_BILLIARD) draw_billiard();
if (PRINT_PARTICLE_NUMBER) print_part_number(configs, active, XMIN + 0.1, YMIN + 0.1);
else if (PRINT_COLLISION_NUMBER) print_collision_number(ncollisions, XMIN + 0.1, YMIN + 0.1);
for (j=0; j<NPARTMAX; j++) color[j] = newcolor[j];
/* draw initial points */