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
2021-07-18 15:06:59 +02:00
committed by GitHub
parent 279a6e8801
commit f56b8a0ab4
8 changed files with 951 additions and 425 deletions
Download Patch File Download Diff File Expand all files Collapse all files

215
particle_billiard.c
View File

@@ -47,23 +47,20 @@
// #define YMIN -0.91
// #define YMAX 1.115 /* y interval for 9/16 aspect ratio */
/* Choice of the billiard table */
/* Choice of the billiard table, see global_particles.c */
#define B_DOMAIN 9 /* choice of domain shape */
#define B_DOMAIN 14 /* choice of domain shape */
#define D_RECTANGLE 0 /* rectangular domain */
#define D_ELLIPSE 1 /* elliptical domain */
#define D_STADIUM 2 /* stadium-shaped domain */
#define D_SINAI 3 /* Sinai billiard */
#define D_DIAMOND 4 /* diamond-shaped billiard */
#define D_TRIANGLE 5 /* triangular billiard */
#define D_ANNULUS 7 /* annulus */
#define D_POLYGON 8 /* polygon */
#define D_REULEAUX 9 /* Reuleaux and star shapes */
#define D_FLOWER 10 /* Bunimovich flower */
#define D_ALT_REU 11 /* alternating between star and Reuleaux */
#define CIRCLE_PATTERN 0 /* pattern of circles */
#define LAMBDA -3.346065215 /* sin(60°)/sin(15°) for Reuleaux-type triangle with 90° angles */
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
// #define NCX 10 /* number of circles in x direction */
// #define NCY 15 /* number of circles in y direction */
#define NCX 15 /* number of circles in x direction */
#define NCY 20 /* number of circles in y direction */
#define LAMBDA 0.75 /* parameter controlling shape of billiard */
// #define LAMBDA -3.346065215 /* sin(60°)/sin(15°) for Reuleaux-type triangle with 90° angles */
// #define LAMBDA 3.0 /* parameter controlling shape of billiard */
// #define LAMBDA 0.6 /* parameter controlling shape of billiard */
// #define LAMBDA 0.4175295 /* sin(20°)/sin(55°) for 9-star shape with 30° angles */
@@ -71,28 +68,30 @@
// #define LAMBDA 3.75738973 /* sin(36°)/sin(9°) for 5-star shape with 90° angles */
// #define LAMBDA -1.73205080756888 /* -sqrt(3) for Reuleaux triangle */
// #define LAMBDA 1.73205080756888 /* sqrt(3) for triangle tiling plane */
#define MU 0.1 /* second parameter controlling shape of billiard */
#define MU 0.035 /* 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 2.0 /* angle by which to turn polygon, in units of Pi/2 */
#define NPOLY 8 /* number of sides of polygon */
#define APOLY 0.25 /* 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 1 /* set to 1 to draw additional construction lines for billiard */
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
#define DEBUG 0 /* draw trajectories, for debugging purposes */
/* Simulation parameters */
#define NPART 20000 /* 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 NSTEPS 6000 /* number of frames of movie */
#define NSTEPS 3000 /* number of frames of movie */
#define TIME 1000 /* time between movie frames, for fluidity of real-time simulation */
// #define DPHI 0.000005 /* integration step */
#define DPHI 0.00002 /* integration step */
// #define DPHI 0.000002 /* integration step */
// #define DPHI 0.00002 /* 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 */
@@ -103,12 +102,13 @@
/* Colors and other graphical parameters */
#define NCOLORS -10 /* number of colors */
#define COLORSHIFT 200 /* hue of initial color */
#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 0.04 /* length of velocity vectors */
#define BILLIARD_WIDTH 3 /* width of billiard */
#define LENGTH 0.02 /* length of velocity vectors */
#define BILLIARD_WIDTH 2 /* width of billiard */
#define PARTICLE_WIDTH 2 /* width of particles */
#define FRONT_WIDTH 3 /* width of wave front */
@@ -123,10 +123,8 @@
#define SLEEP1 1 /* initial sleeping time */
#define SLEEP2 1000 /* final sleeping time */
#define PI 3.141592654
#define DPI 6.283185307
#define PID 1.570796327
#include "global_particles.c"
#include "sub_part_billiard.c"
@@ -169,7 +167,8 @@ double *configs[NPARTMAX];
double conf[2], pos[2];
while (angle2 < angle1) angle2 += DPI;
dalpha = (angle2 - angle1)/((double)(NPART-1));
if (NPART > 1) dalpha = (angle2 - angle1)/((double)(NPART-1));
else dalpha = 0.0;
for (i=0; i<NPART; i++)
{
alpha = angle1 + dalpha*((double)i);
@@ -253,8 +252,11 @@ double *configs[NPARTMAX];
if (configs[i][2]<0.0)
{
vbilliard(configs[i]);
color[i]++;
if (color[i] >= NCOLORS) color[i] -= NCOLORS;
if (!RAINBOW_COLOR)
{
color[i]++;
if (color[i] >= NCOLORS) color[i] -= NCOLORS;
}
}
configs[i][2] += DPHI;
@@ -280,36 +282,39 @@ double *configs[NPARTMAX];
glEnd ();
/* taking care of boundary conditions - only needed for periodic boundary conditions */
if (SCALING_FACTOR*x2 > XMAX)
if (PERIODIC_BC)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*(x1+XMIN-XMAX), SCALING_FACTOR*y1);
glVertex2d(SCALING_FACTOR*(x2+XMIN-XMAX), SCALING_FACTOR*y2);
glEnd ();
}
if (SCALING_FACTOR*x2 > XMAX)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*(x1+XMIN-XMAX), SCALING_FACTOR*y1);
glVertex2d(SCALING_FACTOR*(x2+XMIN-XMAX), SCALING_FACTOR*y2);
glEnd ();
}
if (SCALING_FACTOR*x2 < XMIN)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*(x1-XMIN+XMAX), SCALING_FACTOR*y1);
glVertex2d(SCALING_FACTOR*(x2-XMIN+XMAX), SCALING_FACTOR*y2);
glEnd ();
}
if (SCALING_FACTOR*x2 < XMIN)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*(x1-XMIN+XMAX), SCALING_FACTOR*y1);
glVertex2d(SCALING_FACTOR*(x2-XMIN+XMAX), SCALING_FACTOR*y2);
glEnd ();
}
if (SCALING_FACTOR*y2 > YMAX)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*x1, SCALING_FACTOR*(y1+YMIN-YMAX));
glVertex2d(SCALING_FACTOR*x2, SCALING_FACTOR*(y2+YMIN-YMAX));
glEnd ();
}
if (SCALING_FACTOR*y2 > YMAX)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*x1, SCALING_FACTOR*(y1+YMIN-YMAX));
glVertex2d(SCALING_FACTOR*x2, SCALING_FACTOR*(y2+YMIN-YMAX));
glEnd ();
}
if (SCALING_FACTOR*y2 < YMIN)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*x1, SCALING_FACTOR*(y1+YMAX-YMIN));
glVertex2d(SCALING_FACTOR*x2, SCALING_FACTOR*(y2+YMAX-YMIN));
glEnd ();
if (SCALING_FACTOR*y2 < YMIN)
{
glBegin(GL_LINE_STRIP);
glVertex2d(SCALING_FACTOR*x1, SCALING_FACTOR*(y1+YMAX-YMIN));
glVertex2d(SCALING_FACTOR*x2, SCALING_FACTOR*(y2+YMAX-YMIN));
glEnd ();
}
}
}
@@ -343,11 +348,14 @@ double *configs[NPARTMAX];
{
if (configs[i][2]<0.0)
{
// printf("reflecting particle %i\n", i);
c = vbilliard(configs[i]);
// if (c>=0) color[i]++;
color[i]++;
if (color[i] >= NCOLORS) color[i] -= NCOLORS;
if (!RAINBOW_COLOR)
{
color[i]++;
if (color[i] >= NCOLORS) color[i] -= NCOLORS;
}
}
configs[i][2] += DPHI;
@@ -363,7 +371,74 @@ double *configs[NPARTMAX];
}
void init_circle_config()
{
int i, j, n;
double dx, dy;
switch (CIRCLE_PATTERN) {
case (C_FOUR_CIRCLES):
{
ncircles = 4;
circlex[0] = 1.0;
circley[0] = 0.0;
circlerad[0] = 0.8;
circlex[1] = -1.0;
circley[1] = 0.0;
circlerad[1] = 0.8;
circlex[2] = 0.0;
circley[2] = 0.8;
circlerad[2] = 0.4;
circlex[3] = 0.0;
circley[3] = -0.8;
circlerad[3] = 0.4;
for (i=0; i<4; i++) circleactive[i] = 1;
break;
}
case (C_SQUARE):
{
ncircles = NCX*NCY;
dy = (YMAX - YMIN)/((double)NCY);
for (i = 0; i < NCX; i++)
for (j = 0; j < NCY; j++)
{
n = NCY*i + j;
circlex[n] = ((double)(i-NCX/2) + 0.5)*dy;
circley[n] = YMIN + ((double)j + 0.5)*dy;
circlerad[n] = MU;
circleactive[n] = 1;
}
break;
}
case (C_HEX):
{
ncircles = NCX*(NCY+1);
dy = (YMAX - YMIN)/((double)NCY);
dx = dy*0.5*sqrt(3.0);
for (i = 0; i < NCX; i++)
for (j = 0; j < NCY+1; j++)
{
n = (NCY+1)*i + j;
circlex[n] = ((double)(i-NCX/2) + 0.5)*dy;
circley[n] = YMIN + ((double)j - 0.5)*dy;
if ((i+NCX)%2 == 1) circley[n] += 0.5*dy;
circlerad[n] = MU;
circleactive[n] = 1;
}
break;
}
default:
{
printf("Function init_circle_config not defined for this pattern \n");
}
}
}
void animation()
@@ -379,19 +454,24 @@ void animation()
active = malloc(sizeof(int)*(NPARTMAX));
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) init_circle_config();
/* initialize system by putting particles in a given point with a range of velocities */
r = cos(PI/(double)NPOLY)/cos(DPI/(double)NPOLY);
// init_drop_config(0.0, 0.0, -0.2, 0.2, configs);
// init_drop_config(0.0, 0.0, 0.0, PI, 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);
// other possible initial conditions :
// init_line_config(-0.6, 0.2, -0.6, 0.7, 0.0, configs);
// init_line_config(-1.25, -0.5, -1.25, 0.5, 0.0, configs);
init_line_config(0.0, -1.0, -1.0, 1.0, 0.25*PID, configs);
// init_line_config(-0.7, -0.45, -0.7, 0.45, 0.0, configs);
init_line_config(0.0, -0.3, 0.0, 0.3, 0.0, configs);
// init_line_config(-1.5, 0.1, -0.1, 1.0, -0.5*PID, configs);
blank();
glColor3f(0.0, 0.0, 0.0);
@@ -425,7 +505,14 @@ void animation()
}
}
sleep(SLEEP1);
if (RAINBOW_COLOR) /* rainbow color scheme */
for (i=0; i<NPART; i++)
{
color[i] = (i*NCOLORS)/NPART;
newcolor[i] = (i*NCOLORS)/NPART;
}
sleep(SLEEP1);
for (i=0; i<=NSTEPS; i++)
{