daviddoji/YouTube-simulations
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Add files via upload

Browse Source
This commit is contained in:
nilsberglund-orleans
2021-11-12 16:22:24 +01:00
committed by GitHub
parent 7c444b3a0b
commit 1f962fc7c8
16 changed files with 4046 additions and 1221 deletions
Download Patch File Download Diff File Expand all files Collapse all files

253
particle_billiard.c
View File

@@ -32,43 +32,41 @@
#define MOVIE 0 /* set to 1 to generate movie */
// #define WINWIDTH 1280 /* window width */
#define WINWIDTH 720 /* window width */
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
#define XMIN -1.4
#define XMAX 1.4 /* x interval */
#define YMIN -1.4
#define YMAX 1.4 /* y interval for 9/16 aspect ratio */
// #define XMIN -2.0
// #define XMAX 2.0 /* x interval */
// #define YMIN -1.125
// #define YMAX 1.125 /* y interval for 9/16 aspect ratio */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
/* Choice of the billiard table, see global_particles.c */
#define B_DOMAIN 16 /* choice of domain shape */
#define B_DOMAIN 30 /* choice of domain shape */
#define CIRCLE_PATTERN 2 /* pattern of circles */
#define CIRCLE_PATTERN 1 /* pattern of circles */
#define POLYLINE_PATTERN 1 /* pattern of polyline */
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
// #define NCX 10 /* number of circles in x direction */
// #define NCY 10 /* number of circles in y direction */
#define NCX 30 /* number of circles in x direction */
#define NCY 20 /* number of circles in y direction */
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
#define SDEPTH 1 /* Sierpinski gastket depth */
// #define LAMBDA 1.4 /* parameter controlling shape of domain */
// #define MU 0.2 /* second parameter controlling shape of billiard */
#define LAMBDA 1.3 /* parameter controlling shape of domain */
#define MU 0.3 /* second parameter controlling shape of billiard */
#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 FOCI 1 /* set to 1 to draw focal points of ellipse */
#define NPOLY 4 /* number of sides of polygon */
#define NPOLY 6 /* number of sides of polygon */
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
@@ -79,17 +77,20 @@
/* Simulation parameters */
#define NPART 100 /* number of particles */
#define NPART 5000 /* number of particles */
#define NPARTMAX 100000 /* maximal number of particles after resampling */
#define LMAX 0.01 /* minimal segment length triggering resampling */
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
#define NSTEPS 1300 /* number of frames of movie */
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
#define DPHI 0.00001 /* integration step */
#define NSTEPS 1000 /* 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 DPHI 0.000005 /* integration step */
#define NVID 150 /* number of iterations between images displayed on screen */
/* Decreasing TIME accelerates the animation and the movie */
@@ -100,15 +101,15 @@
/* Colors and other graphical parameters */
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
#define NCOLORS 64 /* number of colors */
#define NCOLORS 16 /* number of colors */
#define COLORSHIFT 0 /* hue of initial color */
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
#define NSEG 100 /* number of segments of boundary */
#define LENGTH 0.03 /* length of velocity vectors */
#define BILLIARD_WIDTH 2 /* width of billiard */
#define LENGTH 0.025 /* length of velocity vectors */
#define BILLIARD_WIDTH 3 /* width of billiard */
#define PARTICLE_WIDTH 2 /* width of particles */
#define FRONT_WIDTH 3 /* width of wave front */
@@ -116,7 +117,7 @@
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
#define OUTER_COLOR 270.0 /* color outside billiard */
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
#define PAINT_EXT 1 /* set to 1 to paint exterior */
#define PAINT_EXT 0 /* set to 1 to paint exterior */
#define PAUSE 1000 /* number of frames after which to pause */
#define PSLEEP 1 /* sleep time during pause */
@@ -249,6 +250,131 @@ 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)
/* 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;
glEnable(GL_LINE_SMOOTH);
glColor3f(1.0, 1.0, 1.0);
/* draw zoomed area */
glLineWidth(BILLIARD_WIDTH/2);
x1 = x_target - width;
y1 = y_target - width;
x2 = x_target + width;
y2 = y_target + width;
glBegin(GL_LINE_LOOP);
glVertex2d(x1, y1);
glVertex2d(x2, y1);
glVertex2d(x2, y2);
glVertex2d(x1, y2);
glEnd();
/* draw zoom boundary */
glLineWidth(BILLIARD_WIDTH*2);
x1 = shiftx - zoomwidth;
y1 = shifty - zoomwidth;
x2 = shiftx + zoomwidth;
y2 = shifty + zoomwidth;
glBegin(GL_LINE_LOOP);
glVertex2d(x1, y1);
glVertex2d(x2, y1);
glVertex2d(x2, y2);
glVertex2d(x1, y2);
glEnd();
/* draw billiard boundaries in zoom */
glLineWidth(BILLIARD_WIDTH*2);
if (y_target + width > 1.0)
{
yb = shifty + 0.5*(1.0 - y_target)/width;
glBegin(GL_LINE_STRIP);
glVertex2d(x1, yb);
glVertex2d(x2, yb);
glVertex2d(x2, yb + 0.02);
glVertex2d(x1, yb + 0.02);
glEnd();
}
/* other boundaries not yet implemented */
/* draw target in zoom */
glLineWidth(BILLIARD_WIDTH*2);
glColor3f(0.0, 0.8, 0.2);
glBegin(GL_LINE_LOOP);
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 ();
// glLineWidth(PARTICLE_WIDTH*2);
for (i=0; i<nparticles; i++)
{
cosphi = (configs[i][6] - configs[i][4])/configs[i][3];
sinphi = (configs[i][7] - configs[i][5])/configs[i][3];
x1 = (configs[i][4] + configs[i][2]*cosphi - x_target)/width;
y1 = (configs[i][5] + configs[i][2]*sinphi - y_target)/width;
x2 = (configs[i][4] + (configs[i][2] + LENGTH)*cosphi - x_target)/width;
y2 = (configs[i][5] + (configs[i][2] + LENGTH)*sinphi - y_target)/width;
/* adjusting segments that are partly in the domain */
if ((vabs(x1) < 1.0)&&(vabs(x2) > 1.0))
{
if (x1 > 0.0) xb = 1.0;
else xb = -1.0;
y2 = y1 + (xb - x1)*(y2 - y1)/(x2 - x1);
x2 = xb;
}
else
if ((vabs(x1) > 1.0)&&(vabs(x2) < 1.0))
{
if (x2 > 0.0) xb = 1.0;
else xb = -1.0;
y1 = y2 + (xb - x2)*(y1 - y2)/(x1 - x2);
x1 = xb;
}
if ((vabs(y1) < 1.0)&&(vabs(y2) > 1.0))
{
if (y1 > 0.0) yb = 1.0;
else yb = -1.0;
x2 = x1 + (yb - y1)*(x2 - x1)/(y2 - y1);
y2 = yb;
}
else
if ((vabs(y1) > 1.0)&&(vabs(y2) < 1.0))
{
if (y2 > 0.0) yb = 1.0;
else yb = -1.0;
x1 = x2 + (yb - y2)*(x1 - x2)/(y1 - y2);
y1 = yb;
}
// if ((active[i])&&(vabs(x1) < 1.0)&&(vabs(y1) < 1.0)&&(vabs(x2) < 1.0)&&(vabs(y2) < 1.0))
if (((active[i])&&(vabs(x1) < 1.0)&&(vabs(y1) < 1.0))||((vabs(x2) < 1.0)&&(vabs(y2) < 1.0)))
{
rgb_color_scheme(color[i], rgb);
glColor3f(rgb[0], rgb[1], rgb[2]);
glBegin(GL_LINE_STRIP);
glVertex2d(shiftx + zoomwidth*SCALING_FACTOR*x1, shifty + zoomwidth*SCALING_FACTOR*y1);
glVertex2d(shiftx + zoomwidth*SCALING_FACTOR*x2, shifty + zoomwidth*SCALING_FACTOR*y2);
glEnd ();
}
}
}
void draw_config_showtrails(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPARTMAX])
/* draw the particles */
@@ -312,13 +438,15 @@ 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);
}
void draw_config(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPARTMAX])
/* draw the particles */
{
int i;
int i, c;
double x1, y1, x2, y2, cosphi, sinphi, rgb[3];
glutSwapBuffers();
@@ -333,12 +461,13 @@ void draw_config(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPAR
{
if (configs[i][2]<0.0)
{
vbilliard(configs[i]);
c = vbilliard(configs[i]);
if (!RAINBOW_COLOR)
{
color[i]++;
if (color[i] >= NCOLORS) color[i] -= NCOLORS;
}
if ((ABSORBING_CIRCLES)&&(c < 0)) active[i] = 0;
}
configs[i][2] += DPHI;
@@ -414,6 +543,8 @@ void draw_config(int color[NPARTMAX], double *configs[NPARTMAX], int active[NPAR
if (configs[i][2] > configs[i][3] - DPHI) configs[i][2] -= configs[i][3];
}
if (DRAW_BILLIARD) draw_billiard();
if (SHOWZOOM) draw_zoom(color, configs, active, 0.95, 0.0, 0.1);
}
@@ -430,6 +561,7 @@ 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;
// if (c>=0) color[i]++;
if ((!RAINBOW_COLOR)&&(c>=0)) color[i]++;
if (!RAINBOW_COLOR)
@@ -451,31 +583,66 @@ void graph_movie(int time, int color[NPARTMAX], double *configs[NPARTMAX], int a
// draw_config(color, configs);
}
void print_part_number(double *configs[NPARTMAX], int active[NPARTMAX], double x, double y)
{
char message[50];
int i, n_active_particles = 0;
double rgb[3];
/* count active particles, using the fact that absorbed particles have been given dummy coordinates */
for (i=0; i<nparticles; i++)
if (active[i]) n_active_particles++;
// if (configs[i][0] != -10.0) n_active_particles++;
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 particles", n_active_particles);
write_text(x, y, message);
}
void animation()
{
double time, dt, alpha, r, rgb[3];
double *configs[NPARTMAX];
int i, j, resamp = 1, s, i1, i2;
int *color, *newcolor, *active;
// t_circle *circles; /* experimental */
/* Since NPARTMAX can be big, it seemed wiser to use some memory allocation here */
color = malloc(sizeof(int)*(NPARTMAX));
newcolor = malloc(sizeof(int)*(NPARTMAX));
active = malloc(sizeof(int)*(NPARTMAX));
// circles = malloc(sizeof(t_circle)*(NMAXCIRCLES)); /* experimental */
for (i=0; i<NPARTMAX; i++)
configs[i] = (double *)malloc(8*sizeof(double));
/* init circle configuration if the domain is D_CIRCLES */
if ((B_DOMAIN == D_CIRCLES)||(B_DOMAIN == D_CIRCLES_IN_RECT)||(B_DOMAIN == D_CIRCLES_IN_GENUSN)) init_circle_config();
if ((B_DOMAIN == D_CIRCLES)||(B_DOMAIN == D_CIRCLES_IN_RECT)||(B_DOMAIN == D_CIRCLES_IN_GENUSN)
||(B_DOMAIN == D_CIRCLES_IN_TORUS)) init_circles(circles);
else if (B_DOMAIN == D_POLYLINE) init_polyline(polyline, circles);
/* initialize system by putting particles in a given point with a range of velocities */
r = cos(PI/(double)NPOLY)/cos(DPI/(double)NPOLY);
// init_partial_drop_config(LAMBDA, 0.0, 0.0, DPI, 0, NPART/4, 0, configs, color, newcolor);
// init_partial_drop_config(-LAMBDA, 0.0, 0.0, DPI, NPART/4, NPART/2, 0, configs, color, newcolor);
// init_partial_drop_config(0.0, LAMBDA, 0.0, DPI, NPART/2, 3*NPART/4, 0, configs, color, newcolor);
// init_partial_drop_config(0.0, -LAMBDA, 0.0, DPI, 3*NPART/4, NPART, 0, configs, color, newcolor);
// 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(0.5, 0.7, 0.0, DPI, 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(-1.3, -0.1, 0.0, DPI, configs);
init_drop_config(1.4, 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);
// init_sym_drop_config(-1.0, 0.5, -PID, PID, configs);
// init_drop_config(-0.999, 0.0, -alpha, alpha, configs);
@@ -492,6 +659,7 @@ void animation()
if (!SHOWTRAILS) blank();
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);
glutSwapBuffers();
@@ -528,13 +696,13 @@ void animation()
newcolor[i] = (i*NCOLORS)/NPART;
}
sleep(SLEEP1);
sleep(SLEEP1);
/* initialize drops in different colors */
init_partial_drop_config(0.0, 0.0, 0.0, DPI, 0, 2*NPART/5, 0, configs, color, newcolor);
init_partial_drop_config(0.0, 0.8, 0.0, DPI, 2*NPART/5, 4*NPART/5, 10, configs, color, newcolor);
init_partial_drop_config(1.2, 0.1, 0.0, DPI, 4*NPART/5, NPART, 36, configs, color, newcolor);
// init_partial_drop_config(0.0, 0.0, 0.0, DPI, 0, 2*NPART/5, 0, configs, color, newcolor);
// init_partial_drop_config(0.0, 0.8, 0.0, DPI, 2*NPART/5, 4*NPART/5, 10, configs, color, newcolor);
// init_partial_drop_config(1.2, 0.1, 0.0, DPI, 4*NPART/5, NPART, 36, configs, color, newcolor);
for (i=0; i<=NSTEPS; i++)
{
@@ -544,12 +712,13 @@ void animation()
else draw_config(newcolor, configs, active);
// 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);
for (j=0; j<NPARTMAX; j++) color[j] = newcolor[j];
/* draw initial points */
draw_initial_condition_circle(0.0, 0.0, 0.02, 0);
draw_initial_condition_circle(0.0, 0.8, 0.02, 10);
draw_initial_condition_circle(1.2, 0.1, 0.02, 36);
// draw_initial_condition_circle(0.0, 0.0, 0.02, 0);
// draw_initial_condition_circle(0.0, 0.8, 0.02, 10);
// draw_initial_condition_circle(1.2, 0.1, 0.02, 36);
if (MOVIE)
{