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@ -998,31 +998,160 @@ while (!in_bill)
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### 15 April 21 - Starting near a focus in the elliptical billiard ###
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**Program:** `xxx.c`
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**Program:** `vid_particle_ellipse.c` (Old version of `particle_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** `init_drop_config(sqrt(LAMBDA*LAMBDA-1.0)-0.01,0.0, 0.0, DPI);`
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.2 /* aspect ratio of ellipse */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define MOVIE 1 /* set to 1 to generate movie */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 500 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 4500 /* number of frames of movie */
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#define TIME 2000 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00001 /* integration step */
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#define NVID 500 /* number of iterations between images displayed on screen */
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#define NCOLORS 20 /* number of colors */
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#define COLORSHIFT 220 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.05 /* length of velocity vectors */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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#define PAUSE 10 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 14 April 21 - Billiard in an ellipse ###
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**Program:** `xxx.c`
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**Program:** `vid_particle_ellipse.c` (Old version of `particle_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** ?
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.2 /* aspect ratio of ellipse */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define MOVIE 1 /* set to 1 to generate movie */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 500 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 4500 /* number of frames of movie */
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#define TIME 2000 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00001 /* integration step */
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#define NVID 500 /* number of iterations between images displayed on screen */
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#define NCOLORS 20 /* number of colors */
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#define COLORSHIFT 220 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.05 /* length of velocity vectors */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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#define PAUSE 10 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 14 April 21 - Billiard in an ellipse ###
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**Program:** `xxx.c`
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**Program:** `vid_particle_ellipse.c` (Old version of `particle_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** ?
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.2 /* aspect ratio of ellipse */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define MOVIE 1 /* set to 1 to generate movie */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 500 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 4500 /* number of frames of movie */
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#define TIME 2000 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00001 /* integration step */
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#define NVID 500 /* number of iterations between images displayed on screen */
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#define NCOLORS 20 /* number of colors */
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#define COLORSHIFT 220 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.05 /* length of velocity vectors */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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#define PAUSE 10 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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@ -1038,11 +1167,52 @@ while (!in_bill)
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### 11 April 21 - Drop in an elliptic pond ###
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**Program:** `xxx.c`
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**Program:** `vid_drop_ellipse.c` (Old version of `drop_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** `init_boundary_config(0.0, 0.0, 0.0, PI, configs);`
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.5 /* aspect ratio of ellipse */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define MOVIE 0 /* set to 1 to generate movie */
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#define RESAMPLE 1 /* set to 1 if particles should be added when dispersion too large */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 2000 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 2000 /* number of frames of movie */
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#define TIME 25 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.0004 /* integration step */
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#define NVID 10 /* number of iterations between images displayed on screen */
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#define NCOLORS 10 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* For a good quality movie, take for instance TIME = 50, DPHI = 0.0002 */
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#define PAUSE 10 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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@ -1050,7 +1220,7 @@ while (!in_bill)
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**Program:** `vid_drop_ellipse.c` (Old version of `drop_billiard.c`)
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**Initial condition in function `animation()`:** `init_drop_config(0.8, 0.6, 0.0, DPI, testconfigs);`
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**Initial condition in function `animation()`:** `init_drop_config(0.8, 0.6, 0.0, DPI, configs);`
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```
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#define WINWIDTH 1280 /* window width */
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@ -1092,23 +1262,92 @@ while (!in_bill)
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### 11 April 21 - Drop in an elliptic pond, starting from a focus ###
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**Program:** `xxx.c`
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**Program:** `vid_drop_ellipse.c` (Old version of `drop_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** `init_drop_config(sqrt(LAMBDA*LAMBDA-1.0),0.0, 0.0, DPI, configs);`
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.5 /* aspect ratio of ellipse */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 2000 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 2000 /* number of frames of movie */
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#define TIME 25 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.0004 /* integration step */
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#define NCOLORS 10 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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### 11 April 21 - Drop in an elliptic pond ###
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**Program:** `xxx.c`
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**Program:** `vid_drop_ellipse.c` (Old version of `drop_billiard.c`)
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**Initial condition in function `animation()`:** `xxx`
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**Initial condition in function `animation()`:** `init_drop_config(0.0, 0.0, 0.0, DPI, configs);`
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```
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define LAMBDA 1.5 /* aspect ratio of ellipse */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define NPART 2000 /* number of particles */
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#define NPARTMAX 50000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define NSTEPS 2000 /* number of frames of movie */
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#define TIME 25 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.0004 /* integration step */
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#define NCOLORS 10 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define NSEG 100 /* number of segments of boundary */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 100 /* final sleeping time */
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#define PI 3.141592654
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#define DPI 6.283185307
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#define PID 1.570796327
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```
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```
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### 9 April 21 - Drop in a circular water bowl (higher resolution) ###
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