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YouTube-simulations/sub_wave.c

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/*********************/
/* Graphics routines */
/*********************/
int writetiff(char *filename, char *description, int x, int y, int width, int height, int compression)
{
TIFF *file;
GLubyte *image, *p;
int i;
file = TIFFOpen(filename, "w");
if (file == NULL)
{
return 1;
}
image = (GLubyte *) malloc(width * height * sizeof(GLubyte) * 3);
/* OpenGL's default 4 byte pack alignment would leave extra bytes at the
end of each image row so that each full row contained a number of bytes
divisible by 4. Ie, an RGB row with 3 pixels and 8-bit componets would
be laid out like "RGBRGBRGBxxx" where the last three "xxx" bytes exist
just to pad the row out to 12 bytes (12 is divisible by 4). To make sure
the rows are packed as tight as possible (no row padding), set the pack
alignment to 1. */
glPixelStorei(GL_PACK_ALIGNMENT, 1);
glReadPixels(x, y, width, height, GL_RGB, GL_UNSIGNED_BYTE, image);
TIFFSetField(file, TIFFTAG_IMAGEWIDTH, (uint32) width);
TIFFSetField(file, TIFFTAG_IMAGELENGTH, (uint32) height);
TIFFSetField(file, TIFFTAG_BITSPERSAMPLE, 8);
TIFFSetField(file, TIFFTAG_COMPRESSION, compression);
TIFFSetField(file, TIFFTAG_PHOTOMETRIC, PHOTOMETRIC_RGB);
TIFFSetField(file, TIFFTAG_ORIENTATION, ORIENTATION_BOTLEFT);
TIFFSetField(file, TIFFTAG_SAMPLESPERPIXEL, 3);
TIFFSetField(file, TIFFTAG_PLANARCONFIG, PLANARCONFIG_CONTIG);
TIFFSetField(file, TIFFTAG_ROWSPERSTRIP, 1);
TIFFSetField(file, TIFFTAG_IMAGEDESCRIPTION, description);
p = image;
for (i = height - 1; i >= 0; i--)
{
// if (TIFFWriteScanline(file, p, height - i - 1, 0) < 0)
if (TIFFWriteScanline(file, p, i, 0) < 0)
{
free(image);
TIFFClose(file);
return 1;
}
p += width * sizeof(GLubyte) * 3;
}
TIFFClose(file);
return 0;
}
void init() /* initialisation of window */
{
glLineWidth(3);
glClearColor(0.0, 0.0, 0.0, 1.0);
glClear(GL_COLOR_BUFFER_BIT);
// glOrtho(XMIN, XMAX, YMIN, YMAX , -1.0, 1.0);
glOrtho(0.0, NX, 0.0, NY, -1.0, 1.0);
}
void hsl_to_rgb(h, s, l, rgb) /* color conversion from HSL to RGB */
/* h = hue, s = saturation, l = luminosity */
double h, s, l, rgb[3];
{
double c = 0.0, m = 0.0, x = 0.0;
c = (1.0 - fabs(2.0 * l - 1.0)) * s;
m = 1.0 * (l - 0.5 * c);
x = c * (1.0 - fabs(fmod(h / 60.0, 2) - 1.0));
if (h >= 0.0 && h < 60.0)
{
rgb[0] = c+m; rgb[1] = x+m; rgb[2] = m;
}
else if (h < 120.0)
{
rgb[0] = x+m; rgb[1] = c+m; rgb[2] = m;
}
else if (h < 180.0)
{
rgb[0] = m; rgb[1] = c+m; rgb[2] = x+m;
}
else if (h < 240.0)
{
rgb[0] = m; rgb[1] = x+m; rgb[2] = c+m;
}
else if (h < 300.0)
{
rgb[0] = x+m; rgb[1] = m; rgb[2] = c+m;
}
else if (h < 360.0)
{
rgb[0] = c+m; rgb[1] = m; rgb[2] = x+m;
}
else
{
rgb[0] = m; rgb[1] = m; rgb[2] = m;
}
}
double color_amplitude(value, scale, time)
/* transforms the wave amplitude into a double in [-1,1] to feed into color scheme */
double value, scale;
int time;
{
return(tanh(SLOPE*value/scale)*exp(-((double)time*ATTENUATION)));
}
void color_scheme(scheme, value, scale, time, rgb) /* color scheme */
double value, scale;
int scheme, time;
double rgb[3];
{
double hue, y, r, amplitude;
int intpart;
/* saturation = r, luminosity = y */
switch (scheme) {
case C_LUM:
{
hue = COLORHUE + (double)time*COLORDRIFT/(double)NSTEPS;
if (hue < 0.0) hue += 360.0;
if (hue >= 360.0) hue -= 360.0;
r = 0.9;
amplitude = color_amplitude(value, scale, time);
y = LUMMEAN + amplitude*LUMAMP;
intpart = (int)y;
y -= (double)intpart;
hsl_to_rgb(hue, r, y, rgb);
break;
}
case C_HUE:
{
r = 0.9;
amplitude = color_amplitude(value, scale, time);
y = 0.5;
hue = HUEMEAN + amplitude*HUEAMP;
if (hue < 0.0) hue += 360.0;
if (hue >= 360.0) hue -= 360.0;
hsl_to_rgb(hue, r, y, rgb);
break;
}
}
}
void blank()
{
if (BLACK) glClearColor(0.0, 0.0, 0.0, 1.0);
else glClearColor(1.0, 1.0, 1.0, 1.0);
glClear(GL_COLOR_BUFFER_BIT);
}
void save_frame()
{
static int counter = 0;
char *name="wave.", n2[100];
char format[6]=".%05i";
counter++;
// printf (" p2 counter = %d \n",counter);
strcpy(n2, name);
sprintf(strstr(n2,"."), format, counter);
strcat(n2, ".tif");
printf(" saving frame %s \n",n2);
writetiff(n2, "Wave equation in a planar domain", 0, 0,
WINWIDTH, WINHEIGHT, COMPRESSION_LZW);
}
void write_text( double x, double y, char *st)
{
int l,i;
l=strlen( st ); // see how many characters are in text string.
glRasterPos2d( x, y); // location to start printing text
for( i=0; i < l; i++) // loop until i is greater then l
{
glutBitmapCharacter(GLUT_BITMAP_TIMES_ROMAN_24, st[i]); // Print a character on the screen
// glutBitmapCharacter(GLUT_BITMAP_8_BY_13, st[i]); // Print a character on the screen
}
}
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/*********************/
/* some basic math */
/*********************/
double vabs(x) /* absolute value */
double x;
{
double res;
if (x<0.0) res = -x;
else res = x;
return(res);
}
double module2(x, y) /* Euclidean norm */
double x, y;
{
double m;
m = sqrt(x*x + y*y);
return(m);
}
double argument(x, y)
double x, y;
{
double alph;
if (x!=0.0)
{
alph = atan(y/x);
if (x<0.0)
alph += PI;
}
else
{
alph = PID;
if (y<0.0)
alph = PI*1.5;
}
return(alph);
}
/*********************/
/* drawing routines */
/*********************/
/* The billiard boundary is drawn in (x,y) coordinates */
/* However for the grid points, we use integer coordinates (i,j) */
/* GL would allow to always work in (x,y) coordinates but using both */
/* sets of coordinates decreases number of double computations when */
/* drawing the field */
void xy_to_ij(x, y, ij)
/* convert (x,y) position to (i,j) in table representing wave */
double x, y;
int ij[2];
{
double x1, y1;
x1 = (x - XMIN)/(XMAX - XMIN);
y1 = (y - YMIN)/(YMAX - YMIN);
ij[0] = (int)(x1 * (double)NX);
ij[1] = (int)(y1 * (double)NY);
}
void xy_to_pos(x, y, pos)
/* convert (x,y) position to double-valued position in table representing wave */
double x, y, pos[2];
{
double x1, y1;
x1 = (x - XMIN)/(XMAX - XMIN);
y1 = (y - YMIN)/(YMAX - YMIN);
pos[0] = x1 * (double)NX;
pos[1] = y1 * (double)NY;
}
void ij_to_xy(i, j, xy)
/* convert (i,j) position in table representing wave to (x,y) */
int i, j;
double xy[2];
{
double x1, y1;
xy[0] = XMIN + ((double)i)*(XMAX-XMIN)/((double)NX);
xy[1] = YMIN + ((double)j)*(YMAX-YMIN)/((double)NY);
}
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void draw_rectangle(x1, y1, x2, y2)
double x1, y1, x2, y2;
{
double pos[2];
glBegin(GL_LINE_LOOP);
xy_to_pos(x1, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y2, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x1, y2, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
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void draw_rotated_rectangle(x1, y1, x2, y2)
double x1, y1, x2, y2;
{
double pos[2];
double xa, ya, xb, yb, xc, yc;
xa = 0.5*(x1 - y2);
xb = 0.5*(x2 - y1);
xc = 0.5*(x1 - y1);
ya = 0.5*(x1 + y1);
yb = 0.5*(x2 + y2);
yc = 0.5*(x2 + y1);
glBegin(GL_LINE_LOOP);
xy_to_pos(xc, ya, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(xb, yc, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(xc, yb, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(xa, yc, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
void init_circle_config()
/* initialise the arrays circlex, circley, circlerad and circleactive */
/* for billiard shape D_CIRCLES */
{
int i, j, n;
double dx, dy, p;
switch (CIRCLE_PATTERN) {
case (C_SQUARE):
{
ncircles = NGRIDX*NGRIDY;
dy = (YMAX - YMIN)/((double)NGRIDY);
for (i = 0; i < NGRIDX; i++)
for (j = 0; j < NGRIDY; j++)
{
n = NGRIDY*i + j;
circlex[n] = ((double)(i-NGRIDX/2) + 0.5)*dy;
circley[n] = YMIN + ((double)j + 0.5)*dy;
circlerad[n] = MU;
circleactive[n] = 1;
}
break;
}
case (C_HEX):
{
ncircles = NGRIDX*(NGRIDY+1);
dy = (YMAX - YMIN)/((double)NGRIDY);
dx = dy*0.5*sqrt(3.0);
for (i = 0; i < NGRIDX; i++)
for (j = 0; j < NGRIDY+1; j++)
{
n = (NGRIDY+1)*i + j;
circlex[n] = ((double)(i-NGRIDX/2) + 0.5)*dy;
circley[n] = YMIN + ((double)j - 0.5)*dy;
if ((i+NGRIDX)%2 == 1) circley[n] += 0.5*dy;
circlerad[n] = MU;
circleactive[n] = 1;
}
break;
}
case (C_RAND_DISPLACED):
{
ncircles = NGRIDX*NGRIDY;
dy = (YMAX - YMIN)/((double)NGRIDY);
for (i = 0; i < NGRIDX; i++)
for (j = 0; j < NGRIDY; j++)
{
n = NGRIDY*i + j;
circlex[n] = ((double)(i-NGRIDX/2) + 0.5 + 0.5*(double)rand()/RAND_MAX)*dy;
circley[n] = YMIN + ((double)j + 0.5 + 0.5*(double)rand()/RAND_MAX)*dy;
circlerad[n] = MU*(1.0 + 0.35*(double)rand()/RAND_MAX);
circleactive[n] = 1;
}
break;
}
case (C_RAND_PERCOL):
{
ncircles = NGRIDX*NGRIDY;
dy = (YMAX - YMIN)/((double)NGRIDY);
for (i = 0; i < NGRIDX; i++)
for (j = 0; j < NGRIDY; j++)
{
n = NGRIDY*i + j;
circlex[n] = ((double)(i-NGRIDX/2) + 0.5)*dy;
circley[n] = YMIN + ((double)j + 0.5)*dy;
circlerad[n] = MU;
p = (double)rand()/RAND_MAX;
if (p < P_PERCOL) circleactive[n] = 1;
else circleactive[n] = 0;
}
break;
}
case (C_RAND_POISSON):
{
ncircles = NPOISSON;
for (n = 0; n < NPOISSON; n++)
{
circlex[n] = LAMBDA*(2.0*(double)rand()/RAND_MAX - 1.0);
circley[n] = (YMAX - YMIN)*(double)rand()/RAND_MAX + YMIN;
circlerad[n] = MU;
circleactive[n] = 1;
}
break;
}
default:
{
printf("Function init_circle_config not defined for this pattern \n");
}
}
}
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int xy_in_billiard(x, y)
/* returns 1 if (x,y) represents a point in the billiard */
double x, y;
{
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double l2, r2, r2mu, omega, c, angle, z, x1, y1, x2, y2, u, v, u1, v1, dx, dy;
int i, j, k, k1, k2, condition;
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switch (B_DOMAIN) {
case D_RECTANGLE:
{
if ((vabs(x) <LAMBDA)&&(vabs(y) < 1.0)) return(1);
else return(0);
break;
}
case D_ELLIPSE:
{
if (x*x/(LAMBDA*LAMBDA) + y*y < 1.0) return(1);
else return(0);
break;
}
case D_STADIUM:
{
if ((x > -0.5*LAMBDA)&&(x < 0.5*LAMBDA)&&(y > -1.0)&&(y < 1.0)) return(1);
else if (module2(x+0.5*LAMBDA, y) < 1.0) return(1);
else if (module2(x-0.5*LAMBDA, y) < 1.0) return(1);
else return(0);
break;
}
case D_SINAI:
{
if (x*x + y*y > LAMBDA*LAMBDA) return(1);
else return(0);
break;
}
case D_DIAMOND:
{
l2 = LAMBDA*LAMBDA;
r2 = l2 + (LAMBDA-1.0)*(LAMBDA-1.0);
if ((x*x + y*y < 1.0)&&((x-LAMBDA)*(x-LAMBDA) + (y-LAMBDA)*(y-LAMBDA) > r2)
&&((x-LAMBDA)*(x-LAMBDA) + (y+LAMBDA)*(y+LAMBDA) > r2)
&&((x+LAMBDA)*(x+LAMBDA) + (y-LAMBDA)*(y-LAMBDA) > r2)
&&((x+LAMBDA)*(x+LAMBDA) + (y+LAMBDA)*(y+LAMBDA) > r2)) return(1);
else return(0);
break;
}
case D_TRIANGLE:
{
if ((x>-LAMBDA)&&(y>-1.0)&&(LAMBDA*y+x<0.0)) return(1);
else return(0);
break;
}
case D_FLAT:
{
if (y > -LAMBDA) return(1);
else return(0);
break;
}
case D_ANNULUS:
{
l2 = LAMBDA*LAMBDA;
r2 = x*x + y*y;
if ((r2 > l2)&&(r2 < 1.0)) return(1);
else return(0);
}
case D_POLYGON:
{
condition = 1;
omega = DPI/((double)NPOLY);
c = cos(omega*0.5);
for (k=0; k<NPOLY; k++)
{
angle = APOLY*PID + (k+0.5)*omega;
condition = condition*(x*cos(angle) + y*sin(angle) < c);
}
// for (k=0; k<NPOLY; k++) condition = condition*(-x*sin((k+0.5)*omega) + y*cos((k+0.5)*omega) < c);
return(condition);
}
case D_YOUNG:
{
if ((x < -MU)||(x > MU)) return(1);
else if ((vabs(y-LAMBDA) < MU)||(vabs(y+LAMBDA) < MU)) return (1);
else return(0);
}
case D_GRATING:
{
k1 = -(int)((-YMIN)/LAMBDA);
k2 = (int)(YMAX/LAMBDA);
condition = 1;
for (i=k1; i<= k2; i++)
{
z = (double)i*LAMBDA;
condition = condition*(x*x + (y-z)*(y-z) > MU*MU);
}
// printf("x = %.3lg, y = %.3lg, k1 = %i, k2 = %i, condition = %i\n", x, y, k1, k2, condition);
return(condition);
}
case D_EHRENFEST:
{
return(((x-1.0)*(x-1.0) + y*y < LAMBDA*LAMBDA)||((x+1.0)*(x+1.0) + y*y < LAMBDA*LAMBDA)||((vabs(x) < 1.0)&&(vabs(y) < MU)));
}
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case D_DISK_GRID:
{
dy = (YMAX - YMIN)/((double)NGRIDY);
for (i = -NGRIDX/2; i < NGRIDX/2; i++)
for (j = 0; j < NGRIDY; j++)
{
x1 = ((double)i + 0.5)*dy;
y1 = YMIN + ((double)j + 0.5)*dy;
if ((x-x1)*(x-x1) + (y-y1)*(y-y1) < MU*MU) return(0);
}
return(1);
}
case D_DISK_HEX:
{
dy = (YMAX - YMIN)/((double)NGRIDY);
dx = dy*0.5*sqrt(3.0);
for (i = -NGRIDX/2; i < NGRIDX/2; i++)
for (j = -1; j < NGRIDY; j++)
{
x1 = ((double)i + 0.5)*dy;
y1 = YMIN + ((double)j + 0.5)*dy;
if ((i+NGRIDX)%2 == 1) y1 += 0.5*dy;
if ((x-x1)*(x-x1) + (y-y1)*(y-y1) < MU*MU) return(0);
}
return(1);
}
case D_CIRCLES:
{
for (i = 0; i < ncircles; i++)
if (circleactive[i])
{
x1 = circlex[i];
y1 = circley[i];
r2 = circlerad[i]*circlerad[i];
if ((x-x1)*(x-x1) + (y-y1)*(y-y1) < r2) return(0);
}
return(1);
}
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case D_MENGER:
{
x1 = 0.5*(x+1.0);
y1 = 0.5*(y+1.0);
for (k=0; k<MDEPTH; k++)
{
x1 = x1*(double)MRATIO;
y1 = y1*(double)MRATIO;
if ((vabs(x)<1.0)&&(vabs(y)<1.0)&&(((int)x1 % MRATIO)==MRATIO/2)&&(((int)y1 % MRATIO)==MRATIO/2)) return(0);
}
return(1);
}
case D_JULIA_INT:
{
u = x/JULIA_SCALE;
v = y/JULIA_SCALE;
i = 0;
while ((i<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + julia_x;
v = 2.0*u*v + julia_y;
u = u1;
i++;
}
if (u*u + v*v < MANDELLIMIT) return(1);
else return(0);
}
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case D_MENGER_ROTATED:
{
x2 = 1.0*(x + y);
y2 = 1.0*(x - y);
if ((vabs(x2) < 1.0)&&(vabs(y2) < 1.0))
{
x1 = 0.5*(x2 + 1.0);
y1 = 0.5*(y2 + 1.0);
for (k=0; k<MDEPTH; k++)
{
x1 = x1*(double)MRATIO;
y1 = y1*(double)MRATIO;
if ((vabs(x)<1.0)&&(vabs(y)<1.0)&&(((int)x1 % MRATIO)==MRATIO/2)&&(((int)y1 % MRATIO)==MRATIO/2)) return(0);
}
}
return(1);
}
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case D_ANNULUS_HEATED: /* returns 2 if in inner circle */
{
l2 = LAMBDA*LAMBDA;
r2 = x*x + y*y;
r2mu = (x-MU)*(x-MU) + y*y;
if ((r2mu > l2)&&(r2 < 1.0)) return(1);
else if (r2mu <= l2) return(2);
else return (0);
}
case D_MENGER_HEATED:
{
if ((vabs(x) >= 1.0)||(vabs(y) >= 1.0)) return(0);
else
{
x1 = 0.5*(x+1.0);
y1 = 0.5*(y+1.0);
for (k=0; k<MDEPTH; k++)
{
x1 = x1*(double)MRATIO;
y1 = y1*(double)MRATIO;
if ((((int)x1 % MRATIO)==MRATIO/2)&&(((int)y1 % MRATIO)==MRATIO/2)) return(k+2);
}
return(1);
}
}
case D_MENGER_H_OPEN: /* returns 2 if in inner circle */
{
x1 = 0.5*(x+1.0);
y1 = 0.5*(y+1.0);
for (k=0; k<MDEPTH; k++)
{
x1 = x1*(double)MRATIO;
y1 = y1*(double)MRATIO;
if ((vabs(x)<1.0)&&(vabs(y)<1.0)&&(((int)x1 % MRATIO)==MRATIO/2)&&(((int)y1 % MRATIO)==MRATIO/2)) return(k+2);
}
return(1);
}
case D_MANDELBROT:
{
u = 0.0;
v = 0.0;
i = 0;
while ((i<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
i++;
/* old version used */
/* u1 = u*u - v*v - x; */
/* v = 2.0*u*v - y; */
}
if (u*u + v*v < MANDELLIMIT) return(0);
else if ((x-0.5)*(x-0.5)/3.0 + y*y/1.0 > 1.2) return(2);
else return(1);
}
case D_MANDELBROT_CIRCLE:
{
u = 0.0;
v = 0.0;
i = 0;
while ((i<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
i++;
}
if (u*u + v*v < MANDELLIMIT) return(0);
else if ((x-LAMBDA)*(x-LAMBDA) + (y-0.5)*(y-0.5) < MU*MU) return(2);
else return(1);
}
case D_JULIA:
{
u = x/JULIA_SCALE;
v = y/JULIA_SCALE;
i = 0;
while ((i<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + julia_x;
v = 2.0*u*v + julia_y;
u = u1;
i++;
// printf("x = %.5lg y = %.5lg i = %i r2 = %.5lg\n", x, y, i, u*u+v*v);
}
// printf("i = %i x = %.5lg y = %.5lg r2 = %.5lg\n", i, x, y, u*u+v*v);
if (u*u + v*v < MANDELLIMIT) return(0);
else if (x*x/3.0 + y*y/1.0 > 1.2) return(2);
// else if ((vabs(x) > XMAX - 0.01)||(vabs(y) > YMAX - 0.01)) return(2);
else return(1);
}
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default:
{
printf("Function ij_in_billiard not defined for this billiard \n");
return(0);
}
}
}
int ij_in_billiard(i, j)
/* returns 1 if (i,j) represents a point in the billiard */
int i, j;
{
double xy[2];
ij_to_xy(i, j, xy);
return(xy_in_billiard(xy[0], xy[1]));
}
void draw_billiard() /* draws the billiard boundary */
{
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double x0, x, y, x1, y1, dx, dy, phi, r = 0.01, pos[2], pos1[2], alpha, dphi, omega, z, l;
int i, j, k, k1, k2, mr2;
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if (BLACK) glColor3f(1.0, 1.0, 1.0);
else glColor3f(0.0, 0.0, 0.0);
glLineWidth(5);
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_LOOP);
xy_to_pos(LAMBDA, -1.0, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(LAMBDA, 1.0, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-LAMBDA, 1.0, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-LAMBDA, -1.0, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
break;
}
case (D_ELLIPSE):
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = LAMBDA*cos(phi);
y = sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
/* draw foci */
if (FOCI)
{
glColor3f(0.3, 0.3, 0.3);
x0 = sqrt(LAMBDA*LAMBDA-1.0);
glLineWidth(2);
glEnable(GL_LINE_SMOOTH);
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = x0 + r*cos(phi);
y = r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = -x0 + r*cos(phi);
y = r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
}
break;
}
case D_STADIUM:
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = -PID + (double)i*PI/(double)NSEG;
x = 0.5*LAMBDA + cos(phi);
y = sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
for (i=0; i<=NSEG; i++)
{
phi = PID + (double)i*PI/(double)NSEG;
x = -0.5*LAMBDA + cos(phi);
y = sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
break;
}
case D_SINAI:
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = LAMBDA*cos(phi);
y = LAMBDA*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
break;
}
case D_DIAMOND:
{
alpha = atan(1.0 - 1.0/LAMBDA);
dphi = (PID - 2.0*alpha)/(double)NSEG;
r = sqrt(LAMBDA*LAMBDA + (LAMBDA-1.0)*(LAMBDA-1.0));
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = alpha + (double)i*dphi;
x = -LAMBDA + r*cos(phi);
y = -LAMBDA + r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
for (i=0; i<=NSEG; i++)
{
phi = alpha - PID + (double)i*dphi;
x = -LAMBDA + r*cos(phi);
y = LAMBDA + r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
for (i=0; i<=NSEG; i++)
{
phi = alpha + PI + (double)i*dphi;
x = LAMBDA + r*cos(phi);
y = LAMBDA + r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
for (i=0; i<=NSEG; i++)
{
phi = alpha + PID + (double)i*dphi;
x = LAMBDA + r*cos(phi);
y = -LAMBDA + r*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
break;
}
case (D_TRIANGLE):
{
glBegin(GL_LINE_LOOP);
xy_to_pos(-LAMBDA, -1.0, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(LAMBDA, -1.0, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-LAMBDA, 1.0, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
break;
}
case (D_FLAT):
{
glBegin(GL_LINE_LOOP);
xy_to_pos(XMIN, -LAMBDA, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(XMAX, -LAMBDA, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
break;
}
case (D_ANNULUS):
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = LAMBDA*cos(phi);
y = LAMBDA*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = cos(phi);
y = sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
break;
}
case (D_POLYGON):
{
omega = DPI/((double)NPOLY);
glBegin(GL_LINE_LOOP);
for (i=0; i<=NPOLY; i++)
{
x = cos(i*omega + APOLY*PID);
y = sin(i*omega + APOLY*PID);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
break;
}
case (D_YOUNG):
{
glBegin(GL_LINE_STRIP);
xy_to_pos(-MU, YMIN, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-MU, -LAMBDA-MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, -LAMBDA-MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, YMIN, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
glBegin(GL_LINE_STRIP);
xy_to_pos(-MU, YMAX, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-MU, LAMBDA+MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, LAMBDA+MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, YMAX, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
glBegin(GL_LINE_LOOP);
xy_to_pos(-MU, -LAMBDA+MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(-MU, LAMBDA-MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, LAMBDA-MU, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(MU, -LAMBDA+MU, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
break;
}
case D_GRATING:
{
k1 = -(int)(-YMIN/LAMBDA);
k2 = (int)(YMAX/LAMBDA);
for (i=k1; i<= k2; i++)
{
z = (double)i*LAMBDA;
glBegin(GL_LINE_LOOP);
for (j=0; j<=NSEG; j++)
{
phi = (double)j*DPI/(double)NSEG;
x = MU*cos(phi);
y = z + MU*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
}
break;
}
case D_EHRENFEST:
{
alpha = asin(MU/LAMBDA);
x0 = 1.0 - sqrt(LAMBDA*LAMBDA - MU*MU);
dphi = 2.0*(PI-alpha)/((double)NSEG);
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = -PI + alpha + (double)i*dphi;
x = 1.0 + LAMBDA*cos(phi);
y = LAMBDA*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
for (i=0; i<=NSEG; i++)
{
phi = alpha + (double)i*dphi;
x = -1.0 + LAMBDA*cos(phi);
y = LAMBDA*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
break;
}
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case D_DISK_GRID:
{
glLineWidth(2);
for (i = -NGRIDX/2; i < NGRIDX/2; i++)
for (j = 0; j < NGRIDY; j++)
{
dy = (YMAX - YMIN)/((double)NGRIDY);
dx = dy*0.5*sqrt(3.0);
x1 = ((double)i + 0.5)*dy;
y1 = YMIN + ((double)j + 0.5)*dy;
glBegin(GL_LINE_LOOP);
for (k=0; k<=NSEG; k++)
{
phi = (double)k*DPI/(double)NSEG;
x = x1 + MU*cos(phi);
y = y1 + MU*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
}
break;
}
case D_DISK_HEX:
{
glLineWidth(2);
for (i = -NGRIDX/2; i < NGRIDX/2; i++)
for (j = -1; j < NGRIDY; j++)
{
dy = (YMAX - YMIN)/((double)NGRIDY);
x1 = ((double)i + 0.5)*dy;
y1 = YMIN + ((double)j + 0.5)*dy;
if ((i+NGRIDX)%2 == 1) y1 += 0.5*dy;
glBegin(GL_LINE_LOOP);
for (k=0; k<=NSEG; k++)
{
phi = (double)k*DPI/(double)NSEG;
x = x1 + MU*cos(phi);
y = y1 + MU*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
}
break;
}
case (D_CIRCLES):
{
glLineWidth(2);
for (i = 0; i < ncircles; i++)
if (circleactive[i])
{
glBegin(GL_LINE_LOOP);
for (k=0; k<=NSEG; k++)
{
phi = (double)k*DPI/(double)NSEG;
x = circlex[i] + circlerad[i]*cos(phi);
y = circley[i] + circlerad[i]*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
}
break;
}
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case (D_MENGER):
{
glLineWidth(3);
// draw_rectangle(XMIN, -1.0, XMAX, 1.0);
/* level 1 */
if (MDEPTH > 0)
{
glLineWidth(2);
x = 1.0/((double)MRATIO);
draw_rectangle(x, x, -x, -x);
}
/* level 2 */
if (MDEPTH > 1)
{
glLineWidth(1);
mr2 = MRATIO*MRATIO;
l = 2.0/((double)mr2);
for (i=0; i<MRATIO; i++)
for (j=0; j<MRATIO; j++)
if ((i!=MRATIO/2)||(j!=MRATIO/2))
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)MRATIO);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)MRATIO);
draw_rectangle(x, y, x+l, y+l);
}
}
/* level 3 */
if (MDEPTH > 2)
{
glLineWidth(1);
l = 2.0/((double)(mr2*MRATIO));
for (i=0; i<mr2; i++)
for (j=0; j<mr2; j++)
if ( (((i%MRATIO!=MRATIO/2))||(j%MRATIO!=MRATIO/2)) && (((i/MRATIO!=MRATIO/2))||(j/MRATIO!=MRATIO/2)) )
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)mr2);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)mr2);
draw_rectangle(x, y, x+l, y+l);
}
}
break;
}
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case (D_JULIA_INT):
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{
/* Do nothing */
break;
}
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case (D_MENGER_ROTATED):
{
glLineWidth(3);
// draw_rectangle(XMIN, -1.0, XMAX, 1.0);
/* level 1 */
if (MDEPTH > 0)
{
glLineWidth(2);
x = 1.0/((double)MRATIO);
draw_rotated_rectangle(x, x, -x, -x);
}
/* level 2 */
if (MDEPTH > 1)
{
glLineWidth(1);
mr2 = MRATIO*MRATIO;
l = 2.0/((double)mr2);
for (i=0; i<MRATIO; i++)
for (j=0; j<MRATIO; j++)
if ((i!=MRATIO/2)||(j!=MRATIO/2))
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)MRATIO);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)MRATIO);
draw_rotated_rectangle(x, y, x+l, y+l);
}
}
/* level 3 */
if (MDEPTH > 2)
{
glLineWidth(1);
l = 2.0/((double)(mr2*MRATIO));
for (i=0; i<mr2; i++)
for (j=0; j<mr2; j++)
if ( (((i%MRATIO!=MRATIO/2))||(j%MRATIO!=MRATIO/2)) && (((i/MRATIO!=MRATIO/2))||(j/MRATIO!=MRATIO/2)) )
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)mr2);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)mr2);
draw_rotated_rectangle(x, y, x+l, y+l);
}
}
break;
}
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case (D_ANNULUS_HEATED):
{
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = MU + LAMBDA*cos(phi);
y = LAMBDA*sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
glBegin(GL_LINE_LOOP);
for (i=0; i<=NSEG; i++)
{
phi = (double)i*DPI/(double)NSEG;
x = cos(phi);
y = sin(phi);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
}
glEnd ();
break;
}
case (D_MENGER_HEATED):
{
glLineWidth(3);
draw_rectangle(-1.0, -1.0, 1.0, 1.0);
/* level 1 */
if (MDEPTH > 0)
{
glLineWidth(2);
x = 1.0/((double)MRATIO);
draw_rectangle(x, x, -x, -x);
}
/* level 2 */
if (MDEPTH > 1)
{
glLineWidth(1);
mr2 = MRATIO*MRATIO;
l = 2.0/((double)mr2);
for (i=0; i<MRATIO; i++)
for (j=0; j<MRATIO; j++)
if ((i!=MRATIO/2)||(j!=MRATIO/2))
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)MRATIO);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)MRATIO);
draw_rectangle(x, y, x+l, y+l);
}
}
/* level 3 */
if (MDEPTH > 2)
{
glLineWidth(1);
l = 2.0/((double)(mr2*MRATIO));
for (i=0; i<mr2; i++)
for (j=0; j<mr2; j++)
if ( (((i%MRATIO!=MRATIO/2))||(j%MRATIO!=MRATIO/2)) && (((i/MRATIO!=MRATIO/2))||(j/MRATIO!=MRATIO/2)) )
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)mr2);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)mr2);
draw_rectangle(x, y, x+l, y+l);
}
}
break;
}
case (D_MENGER_H_OPEN):
{
glLineWidth(3);
// draw_rectangle(XMIN, -1.0, XMAX, 1.0);
/* level 1 */
if (MDEPTH > 0)
{
glLineWidth(2);
x = 1.0/((double)MRATIO);
draw_rectangle(x, x, -x, -x);
}
/* level 2 */
if (MDEPTH > 1)
{
glLineWidth(1);
mr2 = MRATIO*MRATIO;
l = 2.0/((double)mr2);
for (i=0; i<MRATIO; i++)
for (j=0; j<MRATIO; j++)
if ((i!=MRATIO/2)||(j!=MRATIO/2))
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)MRATIO);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)MRATIO);
draw_rectangle(x, y, x+l, y+l);
}
}
/* level 3 */
if (MDEPTH > 2)
{
glLineWidth(1);
l = 2.0/((double)(mr2*MRATIO));
for (i=0; i<mr2; i++)
for (j=0; j<mr2; j++)
if ( (((i%MRATIO!=MRATIO/2))||(j%MRATIO!=MRATIO/2)) && (((i/MRATIO!=MRATIO/2))||(j/MRATIO!=MRATIO/2)) )
{
x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)mr2);
y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)mr2);
draw_rectangle(x, y, x+l, y+l);
}
}
break;
}
case (D_MANDELBROT):
{
/* Do nothing */
break;
}
case (D_MANDELBROT_CIRCLE):
{
/* Do nothing */
break;
}
case (D_JULIA):
{
/* Do nothing */
break;
}
default:
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{
printf("Function draw_billiard not defined for this billiard \n");
}
}
}
Reference in New Issue Copy Permalink