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YouTube-simulations/sub_wave_3d.c
Nils Berglund 008fbf4612
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2024-06-01 16:54:53 +02:00

2506 lines
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/*********************/
/* animation part */
/*********************/
void init_3d() /* 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);
}
void xyz_to_xy(double x, double y, double z, double xy_out[2])
{
int i;
double s, t, xinter[3];
static double n2, m2, d, sm2, sn2, v[3], h[2], plane_ratio = 0.5;
static int first = 1;
if (((first)&&(REPRESENTATION_3D == REP_PROJ_3D))||(reset_view))
{
m2 = observer[0]*observer[0] + observer[1]*observer[1];
n2 = m2 + observer[2]*observer[2];
d = plane_ratio*n2;
sm2 = sqrt(m2);
sn2 = sqrt(n2);
h[0] = observer[1]/sm2;
h[1] = -observer[0]/sm2;
v[0] = -observer[0]*observer[2]/(sn2*sm2);
v[1] = -observer[1]*observer[2]/(sn2*sm2);
v[2] = m2/(sn2*sm2);
first = 0;
reset_view = 0;
// printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
// printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
}
switch (REPRESENTATION_3D) {
case (REP_AXO_3D):
{
for (i=0; i<2; i++)
xy_out[i] = x*u_3d[i] + y*v_3d[i] + z*w_3d[i];
break;
}
case (REP_PROJ_3D):
{
if (z > ZMAX_FACTOR*n2) z = ZMAX_FACTOR*n2;
z *= Z_SCALING_FACTOR;
s = observer[0]*x + observer[1]*y + observer[2]*z;
t = (d - s)/(n2 - s);
xinter[0] = t*observer[0] + (1.0-t)*x;
xinter[1] = t*observer[1] + (1.0-t)*y;
xinter[2] = t*observer[2] + (1.0-t)*z;
xy_out[0] = XSHIFT_3D + XY_SCALING_FACTOR*(xinter[0]*h[0] + xinter[1]*h[1]);
xy_out[1] = YSHIFT_3D + XY_SCALING_FACTOR*(xinter[0]*v[0] + xinter[1]*v[1] + xinter[2]*v[2]);
break;
}
}
}
void draw_vertex_ij(int i, int j)
{
double xy[2];
ij_to_xy(i, j, xy);
// if (xy[1] > 0.0) printf("(i,j) = (%i,%i), (x,y) = (%.2lg,%.2lg)\n", i, j, xy[0], xy[1]);
glVertex2d(xy[0], xy[1]);
}
void draw_vertex_xyz(double xy[2], double z)
{
double xy_screen[2];
xyz_to_xy(xy[0], xy[1], z, xy_screen);
glVertex2d(xy_screen[0], xy_screen[1]);
}
void draw_vertex_x_y_z(double x, double y, double z)
{
double xy_screen[2];
xyz_to_xy(x, y, z, xy_screen);
glVertex2d(xy_screen[0], xy_screen[1]);
}
void draw_segment_hsl(double x1, double y1, double x2, double y2, double h, double s, double l)
/* draw line segment (x1,y1)-(x2,y2) in color (h,s,l) */
{
double rgb[3], pos[2];
glBegin(GL_LINE_STRIP);
hsl_to_rgb_palette(h, s, l, rgb, COL_JET);
glColor3f(rgb[0], rgb[1], rgb[2]);
draw_vertex_x_y_z(x1, y1, 0.0);
draw_vertex_x_y_z(x2, y2, 0.0);
glEnd();
}
void draw_segment_rgb(double x1, double y1, double x2, double y2, double r, double g, double b)
/* draw line segment (x1,y1)-(x2,y2) in color (h,s,l) */
{
double rgb[3], pos[2];
glBegin(GL_LINE_STRIP);
glColor3f(r, g, b);
draw_vertex_x_y_z(x1, y1, 0.0);
draw_vertex_x_y_z(x2, y2, 0.0);
glEnd();
}
void draw_rectangle_3d(double x1, double y1, double x2, double y2)
{
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(x1, y1, 0.0);
draw_vertex_x_y_z(x2, y1, 0.0);
draw_vertex_x_y_z(x2, y2, 0.0);
draw_vertex_x_y_z(x1, y2, 0.0);
glEnd();
}
void draw_rectangle_noscale(double x1, double y1, double x2, double y2)
{
glBegin(GL_LINE_LOOP);
glVertex2d(x1, y1);
glVertex2d(x2, y1);
glVertex2d(x2, y2);
glVertex2d(x1, y2);
glEnd();
}
void draw_circle_3d(double x, double y, double r, int nseg)
{
int i;
double pos[2], alpha, dalpha;
dalpha = DPI/(double)nseg;
glBegin(GL_LINE_LOOP);
for (i=0; i<=nseg; i++)
{
alpha = (double)i*dalpha;
draw_vertex_x_y_z(x + r*cos(alpha), y + r*sin(alpha), 0.0);
}
glEnd();
}
void tvertex_lineto_3d(t_vertex z)
/* draws boundary segments of isospectral billiard */
{
draw_vertex_x_y_z(z.x, z.y, 0.0);
}
void draw_tpolygon_3d(t_polygon polygon)
{
int i;
double pos[2], alpha, dalpha;
dalpha = DPI/(double)polygon.nsides;
glBegin(GL_LINE_LOOP);
for (i=0; i<=polygon.nsides; i++)
{
alpha = PID*polygon.angle + (double)i*dalpha;
draw_vertex_x_y_z(polygon.xc + polygon.radius*cos(alpha), polygon.yc + polygon.radius*sin(alpha), 0.0);
}
glEnd();
}
void draw_billiard_3d(int fade, double fade_value) /* draws the billiard boundary */
{
double x0, x, y, x1, y1, dx, dy, phi, r = 0.01, pos[2], pos1[2], alpha, dphi, omega, z, l, width, a, b, c, ymax, padd;
int i, j, k, k1, k2, mr2;
static int first = 1, nsides;
if (BLACK)
{
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
}
else
{
if (fade) glColor3f(1.0 - fade_value, 1.0 - fade_value, 1.0 - fade_value);
else glColor3f(0.0, 0.0, 0.0);
}
glLineWidth(BOUNDARY_WIDTH);
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, -1.0, 0.0);
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);
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd ();
/* draw foci */
// if (FOCI)
// {
// glColor3f(0.3, 0.3, 0.3);
// x0 = sqrt(LAMBDA*LAMBDA-1.0);
//
// glLineWidth(2);
// glEnable(GL_LINE_SMOOTH);
//
// draw_circle(x0, 0.0, r, NSEG);
// draw_circle(-x0, 0.0, r, NSEG);
// }
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);
draw_vertex_x_y_z(x, y, 0.0);
}
for (i=0; i<=NSEG; i++)
{
phi = PID + (double)i*PI/(double)NSEG;
x = -0.5*LAMBDA + cos(phi);
y = sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd();
break;
}
case (D_SINAI):
{
draw_circle_3d(0.0, 0.0, LAMBDA, NSEG);
break;
}
case (D_YOUNG):
{
// if (FILL_BILLIARD_COMPLEMENT)
// {
// if (fade) glColor3f(0.5*fade_value, 0.5*fade_value, 0.5*fade_value);
// else glColor3f(0.5, 0.5, 0.5);
//
// glBegin(GL_TRIANGLE_FAN);
// draw_vertex_x_y_z(-MU, YMIN, 0.0);
// draw_vertex_x_y_z(-MU, -LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, -LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, YMIN, 0.0);
// glEnd();
//
// glBegin(GL_TRIANGLE_FAN);
// draw_vertex_x_y_z(-MU, YMAX, 0.0);
// draw_vertex_x_y_z(-MU, LAMBDA+MU, 0.0);
// draw_vertex_x_y_z(MU, LAMBDA+MU, 0.0);
// draw_vertex_x_y_z(MU, YMAX, 0.0);
// glEnd();
//
// glBegin(GL_TRIANGLE_FAN);
// draw_vertex_x_y_z(-MU, -LAMBDA+MU, 0.0);
// draw_vertex_x_y_z(-MU, LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, -LAMBDA+MU, 0.0);
// glEnd();
// }
// else
{
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(-MU, YMIN, 0.0);
draw_vertex_x_y_z(-MU, -LAMBDA-MU, 0.0);
draw_vertex_x_y_z(MU, -LAMBDA-MU, 0.0);
draw_vertex_x_y_z(MU, YMIN, 0.0);
glEnd();
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(-MU, YMAX, 0.0);
draw_vertex_x_y_z(-MU, LAMBDA+MU, 0.0);
draw_vertex_x_y_z(MU, LAMBDA+MU, 0.0);
draw_vertex_x_y_z(MU, YMAX, 0.0);
glEnd();
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(-MU, -LAMBDA+MU, 0.0);
draw_vertex_x_y_z(-MU, LAMBDA-MU, 0.0);
draw_vertex_x_y_z(MU, LAMBDA-MU, 0.0);
draw_vertex_x_y_z(MU, -LAMBDA+MU, 0.0);
glEnd();
}
break;
}
case (D_GRATING):
{
k1 = -(int)(-YMIN/LAMBDA);
k2 = (int)(YMAX/LAMBDA);
for (i=k1; i<= k2; i++)
{
z = (double)i*LAMBDA;
draw_circle_3d(0.0, z, MU, NSEG);
}
break;
}
case (D_TWO_PARABOLAS):
{
dy = 3.0*MU/(double)NSEG;
width = 0.25*MU;
if (width > 0.2) width = 0.2;
glBegin(GL_LINE_LOOP);
for (i = 0; i < NSEG+1; i++)
{
y = -1.5*MU + dy*(double)i;
x = 0.25*y*y/MU - MU - LAMBDA;
draw_vertex_x_y_z(x, y, 0.0);
}
for (i = 0; i < NSEG+1; i++)
{
y = 1.5*MU - dy*(double)i;
x = 0.25*y*y/MU - (MU + width) - LAMBDA;
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd ();
glBegin(GL_LINE_LOOP);
for (i = 0; i < NSEG+1; i++)
{
y = -1.5*MU + dy*(double)i;
x = LAMBDA + MU - 0.25*y*y/MU;
draw_vertex_x_y_z(x, y, 0.0);
}
for (i = 0; i < NSEG+1; i++)
{
y = 1.5*MU - dy*(double)i;
x = LAMBDA + (MU + width) - 0.25*y*y/MU;
draw_vertex_x_y_z(x, y, 0.0);
}
glEnd ();
// if (FOCI)
// {
// glColor3f(0.3, 0.3, 0.3);
// draw_circle(-LAMBDA, 0.0, r, NSEG);
// draw_circle(LAMBDA, 0.0, r, NSEG);
// }
break;
}
case (D_POLY_PARABOLAS):
{
omega = PI/((double)NPOLY);
a = 0.25/MU;
b = 1.0/tan(omega);
c = LAMBDA + MU;
ymax = (-b + sqrt(b*b + 4.0*a*c))/(2.0*a);
dy = 2.0*ymax/(double)NSEG;
glBegin(GL_LINE_LOOP);
for (k=0; k<NPOLY; k++)
{
alpha = APOLY*PID + (2.0*(double)k+1.0)*omega;
for (i = 0; i < NSEG+1; i++)
{
y1 = -ymax + dy*(double)i;
x1 = MU + LAMBDA - 0.25*y1*y1/MU;
x = x1*cos(alpha) - y1*sin(alpha);
y = x1*sin(alpha) + y1*cos(alpha);
draw_vertex_x_y_z(x, y, 0.0);
}
}
glEnd ();
// if (FOCI)
// {
// glColor3f(0.3, 0.3, 0.3);
// for (k=0; k<NPOLY; k++)
// {
// alpha = APOLY*PID + (2.0*(double)k+1.0)*omega;
// draw_circle(LAMBDA*cos(alpha), LAMBDA*sin(alpha), r, NSEG);
// }
// }
break;
}
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_3d(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_3d(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_3d(x, y, x+l, y+l);
}
}
break;
}
case (D_PENROSE):
{
c = sqrt(LAMBDA*LAMBDA - (1.0 - MU)*(1.0 - MU));
width = 0.1*MU;
x1 = vabs(x);
y1 = vabs(y);
dphi = PI/(double)NSEG;
glBegin(GL_LINE_LOOP);
/* upper half ellipse */
for (i=0; i<=NSEG; i++)
{
phi = (double)i*dphi;
x = LAMBDA*cos(phi);
y = MU + (1.0-MU)*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
/* straight parts */
draw_vertex_x_y_z(-LAMBDA, width, 0.0);
draw_vertex_x_y_z(-c, width, 0.0);
draw_vertex_x_y_z(-c, MU, 0.0);
/* left half ellipse */
for (i=0; i<=NSEG; i++)
{
phi = (double)i*dphi;
x = -c + 0.5*MU*sin(phi);
y = MU*cos(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
/* straight parts */
draw_vertex_x_y_z(-c, -width, 0.0);
draw_vertex_x_y_z(-LAMBDA, -width, 0.0);
draw_vertex_x_y_z(-LAMBDA, -MU, 0.0);
/* lower half ellipse */
for (i=0; i<=NSEG; i++)
{
phi = (double)i*dphi;
x = -LAMBDA*cos(phi);
y = -MU - (1.0-MU)*sin(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
/* straight parts */
draw_vertex_x_y_z(LAMBDA, -width, 0.0);
draw_vertex_x_y_z(c, -width, 0.0);
draw_vertex_x_y_z(c, -MU, 0.0);
/* right half ellipse */
for (i=0; i<=NSEG; i++)
{
phi = (double)i*dphi;
x = c - 0.5*MU*sin(phi);
y = -MU*cos(phi);
draw_vertex_x_y_z(x, y, 0.0);
}
/* straight parts */
draw_vertex_x_y_z(c, width, 0.0);
draw_vertex_x_y_z(LAMBDA, width, 0.0);
draw_vertex_x_y_z(LAMBDA, MU, 0.0);
glEnd ();
break;
}
case (D_TOKA_PRIME):
{
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d(polyline[0]);
for (i=4; i<43; i++) tvertex_lineto_3d(polyline[i]);
tvertex_lineto_3d(polyline[3]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[44]);
tvertex_lineto_3d(polyline[45]);
for (i=84; i>45; i--) tvertex_lineto_3d(polyline[i]);
glEnd();
/* inner lines */
if (DRAW_CONSTRUCTION_LINES)
{
glLineWidth(1);
glColor3f(0.75, 0.75, 0.75);
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[3]);
tvertex_lineto_3d(polyline[4]);
glEnd();
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[44]);
tvertex_lineto_3d(polyline[45]);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[46]);
tvertex_lineto_3d(polyline[45]);
glEnd();
for (i=3; i<43; i++)
{
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[i]);
tvertex_lineto_3d(polyline[43]);
glEnd();
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[i+42]);
tvertex_lineto_3d(polyline[85]);
glEnd();
}
}
break;
}
case (D_ISOSPECTRAL):
{
/* 1st triangle */
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[4]);
tvertex_lineto_3d(polyline[7]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[5]);
tvertex_lineto_3d(polyline[8]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[3]);
tvertex_lineto_3d(polyline[6]);
glEnd();
/* inner lines */
if (DRAW_CONSTRUCTION_LINES)
{
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[0]);
tvertex_lineto_3d(polyline[3]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[5]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[4]);
glEnd();
}
/* 2nd triangle */
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d( polyline[9]);
tvertex_lineto_3d(polyline[16]);
tvertex_lineto_3d(polyline[13]);
tvertex_lineto_3d(polyline[10]);
tvertex_lineto_3d(polyline[17]);
tvertex_lineto_3d(polyline[14]);
tvertex_lineto_3d(polyline[11]);
tvertex_lineto_3d(polyline[15]);
tvertex_lineto_3d(polyline[12]);
glEnd();
/* inner lines */
if (DRAW_CONSTRUCTION_LINES)
{
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d( polyline[9]);
tvertex_lineto_3d(polyline[10]);
tvertex_lineto_3d(polyline[11]);
tvertex_lineto_3d( polyline[9]);
tvertex_lineto_3d(polyline[13]);
tvertex_lineto_3d(polyline[10]);
tvertex_lineto_3d(polyline[14]);
tvertex_lineto_3d(polyline[11]);
tvertex_lineto_3d(polyline[12]);
glEnd();
}
break;
}
case (D_HOMOPHONIC):
{
/* 1st triangle */
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[3]);
tvertex_lineto_3d(polyline[4]);
tvertex_lineto_3d(polyline[5]);
tvertex_lineto_3d(polyline[6]);
tvertex_lineto_3d(polyline[8]);
tvertex_lineto_3d(polyline[9]);
tvertex_lineto_3d(polyline[10]);
tvertex_lineto_3d(polyline[12]);
tvertex_lineto_3d(polyline[13]);
tvertex_lineto_3d(polyline[15]);
tvertex_lineto_3d(polyline[16]);
tvertex_lineto_3d(polyline[17]);
tvertex_lineto_3d(polyline[18]);
tvertex_lineto_3d(polyline[20]);
glEnd();
/* inner lines */
if (DRAW_CONSTRUCTION_LINES)
{
glLineWidth(BOUNDARY_WIDTH/2);
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[9]);
tvertex_lineto_3d(polyline[1]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[5]);
tvertex_lineto_3d(polyline[7]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[8]);
tvertex_lineto_3d(polyline[21]);
tvertex_lineto_3d(polyline[10]);
tvertex_lineto_3d(polyline[2]);
tvertex_lineto_3d(polyline[21]);
tvertex_lineto_3d(polyline[11]);
tvertex_lineto_3d(polyline[13]);
tvertex_lineto_3d(polyline[21]);
tvertex_lineto_3d(polyline[14]);
tvertex_lineto_3d(polyline[20]);
tvertex_lineto_3d(polyline[15]);
tvertex_lineto_3d(polyline[19]);
tvertex_lineto_3d(polyline[16]);
tvertex_lineto_3d(polyline[18]);
glEnd();
}
/* 2nd triangle */
glLineWidth(BOUNDARY_WIDTH);
glBegin(GL_LINE_LOOP);
tvertex_lineto_3d(polyline[22+10]);
tvertex_lineto_3d(polyline[22+16]);
tvertex_lineto_3d(polyline[22+17]);
tvertex_lineto_3d(polyline[22+18]);
tvertex_lineto_3d(polyline[22+12]);
tvertex_lineto_3d(polyline[22+13]);
tvertex_lineto_3d(polyline[22+15]);
tvertex_lineto_3d(polyline[22+19]);
tvertex_lineto_3d(polyline[22+20]);
tvertex_lineto_3d(polyline[22+1]);
tvertex_lineto_3d(polyline[22+4]);
tvertex_lineto_3d(polyline[22+5]);
tvertex_lineto_3d(polyline[22+7]);
tvertex_lineto_3d(polyline[22+8]);
tvertex_lineto_3d(polyline[22+9]);
glEnd();
/* inner lines */
if (DRAW_CONSTRUCTION_LINES)
{
glLineWidth(BOUNDARY_WIDTH/2);
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[22+2]);
tvertex_lineto_3d(polyline[22+6]);
tvertex_lineto_3d(polyline[22+8]);
tvertex_lineto_3d(polyline[22+2]);
tvertex_lineto_3d(polyline[22+5]);
tvertex_lineto_3d(polyline[22+3]);
tvertex_lineto_3d(polyline[22+2]);
tvertex_lineto_3d(polyline[22+1]);
tvertex_lineto_3d(polyline[22+0]);
tvertex_lineto_3d(polyline[22+21]);
tvertex_lineto_3d(polyline[22+18]);
tvertex_lineto_3d(polyline[22+16]);
tvertex_lineto_3d(polyline[22+13]);
tvertex_lineto_3d(polyline[22+21]);
tvertex_lineto_3d(polyline[22+10]);
tvertex_lineto_3d(polyline[22+12]);
tvertex_lineto_3d(polyline[22+21]);
tvertex_lineto_3d(polyline[22+14]);
tvertex_lineto_3d(polyline[22+20]);
tvertex_lineto_3d(polyline[22+15]);
glEnd();
}
break;
}
case (D_STAR):
{
glLineWidth(BOUNDARY_WIDTH);
glBegin(GL_LINE_LOOP);
for (i=0; i<npolyline; i++) tvertex_lineto_3d(polyline[i]);
glEnd();
break;
}
case (D_NOISEPANEL):
{
glLineWidth(BOUNDARY_WIDTH);
glBegin(GL_LINE_LOOP);
for (i=0; i<npolyline; i++) tvertex_lineto_3d(polyline[i]);
glEnd();
break;
}
case (D_POLYGONS):
{
glLineWidth(BOUNDARY_WIDTH);
for (i = 0; i < ncircles; i++)
if (polygons[i].active) draw_tpolygon_3d(polygons[i]);
break;
}
case (D_LSHAPE):
{
padd = 0.005;
glLineWidth(BOUNDARY_WIDTH);
draw_segment_hsl(-LAMBDA - padd, -1.0 - padd, 0.0, -1.0 - padd, 0.0, 1.0, 0.5*fade_value);
draw_segment_hsl(-LAMBDA - padd, 1.0 + padd, 0.0, 1.0 + padd, 0.0, 1.0, 0.5*fade_value);
draw_segment_hsl(0.0, -1.0 - padd, LAMBDA + padd, -1.0 - padd, 220.0, 1.0, 0.5*fade_value);
draw_segment_hsl(0.0, padd, LAMBDA + padd, padd, 220.0, 1.0, 0.5*fade_value);
draw_segment_hsl(-LAMBDA - padd, -1.0 - padd, -LAMBDA - padd, 0.0, 60.0, 1.0, 0.5*fade_value);
draw_segment_hsl( LAMBDA + padd, -1.0 - padd, LAMBDA + padd, 0.0, 60.0, 1.0, 0.5*fade_value);
draw_segment_hsl(-LAMBDA - padd, 0.0, -LAMBDA - padd, 1.0 + padd, 180.0, 1.0, 0.5*fade_value);
draw_segment_hsl( padd, padd, padd, LAMBDA + padd, 180.0, 1.0, 0.5*fade_value);
break;
}
case (D_NOTHING):
{
break;
}
default:
{
break;
}
}
}
void draw_polyline_visible(int j, int k, double margin)
/* hack to draw the billiard boundary in front of the wave */
/* only parts of the boundary having a small enough angle with the observer vector are drawn */
{
double x, y, x1, y1, length, length1;
static int first = 1;
static double olength;
if (first)
{
olength = module2(observer[0], observer[1]);
first = 0;
}
x = polyline[j].x;
y = polyline[j].y;
x1 = polyline[k].x;
y1 = polyline[k].y;
length = module2(x,y);
length1 = module2(x1,y1);
if ((x*observer[0] + y*observer[1] > margin*length*olength)&&(x1*observer[0] + y1*observer[1] > margin*length1*olength))
{
glBegin(GL_LINE_STRIP);
tvertex_lineto_3d(polyline[j]);
tvertex_lineto_3d(polyline[k]);
glEnd();
}
}
void draw_segment_hsl_visible(double x1, double y1, double x2, double y2, double h, double s, double l, double margin)
/* hack to draw the billiard boundary in front of the wave */
/* only parts of the boundary having a small enough angle with the observer vector are drawn */
{
double length, length1, olength;
olength = module2(observer[0], observer[1]);
length = module2(x1,y1);
length1 = module2(x2,y2);
if ((x1*observer[0] + y1*observer[1] > margin*length*olength)&&(x2*observer[0] + y2*observer[1] > margin*length1*olength))
draw_segment_hsl(x1, y1, x2, y2, h, s, l);
}
void draw_segment_rgb_visible(double x1, double y1, double x2, double y2, double r, double g, double b, double margin)
/* hack to draw the billiard boundary in front of the wave */
/* only parts of the boundary having a small enough angle with the observer vector are drawn */
{
double length, length1, olength;
olength = module2(observer[0], observer[1]);
length = module2(x1,y1);
length1 = module2(x2,y2);
if ((x1*observer[0] + y1*observer[1] > margin*length*olength)&&(x2*observer[0] + y2*observer[1] > margin*length1*olength))
draw_segment_rgb(x1, y1, x2, y2, r, g, b);
}
void draw_billiard_3d_front(int fade, double fade_value)
/* hack to draw the billiard boundary in front of the wave */
/* only parts of the boundary having a small enough angle with the observer vector are drawn */
{
double x0, x, y, x1, y1, dx, dy, phi, r = 0.01, pos[2], pos1[2], alpha, dphi, omega, z, l, width, a, b, c, ymax, length, length1, padd, margin;
int i, j, k, k1, k2, mr2;
static int first = 1, nsides;
static double olength;
if (first)
{
olength = module2(observer[0], observer[1]);
first = 0;
}
if (BLACK)
{
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
}
else
{
if (fade) glColor3f(1.0 - fade_value, 1.0 - fade_value, 1.0 - fade_value);
else glColor3f(0.0, 0.0, 0.0);
}
glLineWidth(BOUNDARY_WIDTH);
glEnable(GL_LINE_SMOOTH);
switch (B_DOMAIN) {
case (D_RECTANGLE):
{
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
glEnd();
break;
}
case (D_ELLIPSE):
{
glBegin(GL_LINE_LOOP);
dphi = DPI/(double)NSEG;
margin = 0.0;
for (i=0; i<=NSEG; i++)
{
phi = (double)i*dphi;
draw_segment_rgb_visible(LAMBDA*cos(phi), sin(phi), LAMBDA*cos(phi+dphi), sin(phi+dphi), fade_value, fade_value, fade_value, margin);
draw_vertex_x_y_z(LAMBDA*cos(phi), sin(phi), 0.0);
}
glEnd ();
break;
}
case (D_YOUNG):
{
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(-MU, YMIN, 0.0);
draw_vertex_x_y_z(-MU, -LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, -LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, YMIN, 0.0);
glEnd();
glBegin(GL_LINE_STRIP);
draw_vertex_x_y_z(-MU, YMAX, 0.0);
draw_vertex_x_y_z(-MU, LAMBDA+MU, 0.0);
// draw_vertex_x_y_z(MU, LAMBDA+MU, 0.0);
// draw_vertex_x_y_z(MU, YMAX, 0.0);
glEnd();
glBegin(GL_LINE_LOOP);
draw_vertex_x_y_z(-MU, -LAMBDA+MU, 0.0);
draw_vertex_x_y_z(-MU, LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, LAMBDA-MU, 0.0);
// draw_vertex_x_y_z(MU, -LAMBDA+MU, 0.0);
glEnd();
break;
}
case (D_TOKA_PRIME):
{
draw_polyline_visible(0, 4, 0.2);
for (i=4; i<41; i++) draw_polyline_visible(i, i+1, -0.1);
// draw_polyline_visible(42, 3, 0.2);
for (i=84; i>46; i--) draw_polyline_visible(i, i-1, -0.1);
draw_polyline_visible(46, 0, 0.2);
break;
}
case (D_STAR):
{
glLineWidth(BOUNDARY_WIDTH);
for (i=0; i<npolyline; i++)
draw_polyline_visible(i%npolyline, (i+1)%npolyline, 0.2);
break;
}
case (D_NOISEPANEL):
{
glLineWidth(BOUNDARY_WIDTH);
for (i=0; i<npolyline; i++)
draw_polyline_visible(i%npolyline, (i+1)%npolyline, -0.5);
break;
}
case (D_LSHAPE):
{
padd = 0.005;
margin = 0.0;
glLineWidth(BOUNDARY_WIDTH);
draw_segment_hsl_visible(-LAMBDA - padd, -1.0 - padd, 0.0, -1.0 - padd, 0.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible(-LAMBDA - padd, 1.0 + padd, 0.0, 1.0 + padd, 0.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible(0.0, -1.0 - padd, LAMBDA + padd, -1.0 - padd, 220.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible(0.0, padd, LAMBDA + padd, padd, 220.0, 1.0, 0.5*fade_value, 0.2);
draw_segment_hsl_visible(-LAMBDA - padd, -1.0 - padd, -LAMBDA - padd, 0.0, 60.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible( LAMBDA + padd, -1.0 - padd, LAMBDA + padd, 0.0, 60.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible(-LAMBDA - padd, 0.0, -LAMBDA - padd, 1.0 + padd, 180.0, 1.0, 0.5*fade_value, margin);
draw_segment_hsl_visible( padd, padd, padd, LAMBDA + padd, 180.0, 1.0, 0.5*fade_value, 0.6);
break;
}
default:
{
break;
}
}
}
void compute_energy_field(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY])
/* computes cosine of angle between normal vector and vector light */
{
int i, j, k;
static int first = 1;
double energy, logenergy, gx, gy, arg, mod, sum;
// printf("computing energy field\n");
// printf("COMPUTE_MEAN_ENERGY = %i\n", COMPUTE_MEAN_ENERGY);
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++)
for (j=0; j<NY; j++)
{
if ((TWOSPEEDS)||(xy_in[i*NY+j]))
{
energy = PLOT_SCALE_ENERGY*compute_energy_mod(phi, psi, xy_in, i, j);
if (energy < 1.0e-100) energy = 0.0;
wave[i*NY+j].energy = PLOT_SCALE_ENERGY*compute_energy_mod(phi, psi, xy_in, i, j);
if (COMPUTE_TOTAL_ENERGY)
{
if (first) wave[i*NY+j].total_energy = energy;
else wave[i*NY+j].total_energy += energy;
}
if (COMPUTE_LOG_ENERGY)
{
logenergy = log(wave[i*NY+j].energy);
if (logenergy > LOG_ENERGY_FLOOR) wave[i*NY+j].log_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*logenergy;
else wave[i*NY+j].log_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*LOG_ENERGY_FLOOR;
}
if (COMPUTE_LOG_TOTAL_ENERGY)
{
logenergy = log(wave[i*NY+j].total_energy);
if (logenergy > LOG_ENERGY_FLOOR) wave[i*NY+j].log_total_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*logenergy;
else wave[i*NY+j].log_total_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*LOG_ENERGY_FLOOR;
}
if (COMPUTE_MEAN_ENERGY)
{
wave[i*NY+j].mean_energy = wave[i*NY+j].total_energy/((double)(global_time+1));
}
if (COMPUTE_LOG_MEAN_ENERGY)
{
logenergy = wave[i*NY+j].mean_energy;
if (logenergy == 0.0) logenergy = 1.0e-10;
logenergy = log(logenergy) + LOG_MEAN_ENERGY_SHIFT;
if (logenergy > LOG_ENERGY_FLOOR) wave[i*NY+j].log_mean_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*logenergy;
else wave[i*NY+j].log_mean_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*LOG_ENERGY_FLOOR;
}
if (COMPUTE_ENERGY_FLUX)
{
compute_energy_flux_mod(phi, psi, xy_in, i, j, &gx, &gy, &arg, &mod);
wave[i*NY+j].flux_direction = arg/DPI;
/* compute time-averaged flux intensity */
wave[i*NY+j].flux_int_table[wave[i*NY+j].flux_counter] = mod*FLUX_SCALE;
sum = 0.0;
for (k = 0; k < FLUX_WINDOW; k++) sum += wave[i*NY+j].flux_int_table[k];
wave[i*NY+j].flux_intensity = sum/(double)FLUX_WINDOW;
wave[i*NY+j].flux_counter++;
if (wave[i*NY+j].flux_counter == FLUX_WINDOW) wave[i*NY+j].flux_counter = 0;
}
}
else if (first)
{
wave[i*NY+j].energy = 0.0;
wave[i*NY+j].total_energy = 0.0;
wave[i*NY+j].log_total_energy = LOG_ENERGY_FLOOR;
wave[i*NY+j].mean_energy = 0.0;
wave[i*NY+j].log_mean_energy = LOG_ENERGY_FLOOR;
wave[i*NY+j].flux_intensity = 0.0;
wave[i*NY+j].flux_direction = 0.0;
}
}
first = 0;
}
void compute_log_energy_field(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY])
/* computes cosine of angle between normal vector and vector light */
/* TO DO: include into compute_energy_field */
{
int i, j;
double value;
#pragma omp parallel for private(i,j,value)
for (i=0; i<NX; i++)
for (j=0; j<NY; j++)
{
if ((TWOSPEEDS)||(xy_in[i*NY+j]))
{
value = log(compute_energy_mod(phi, psi, xy_in, i, j));
if (value > LOG_ENERGY_FLOOR) wave[i*NY+j].log_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*value;
else wave[i*NY+j].log_energy = LOG_SHIFT + PLOT_SCALE_LOG_ENERGY*LOG_ENERGY_FLOOR;
}
else wave[i*NY+j].log_energy = 0.0;
}
}
void compute_phase_field(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY])
/* computes cosine of angle between normal vector and vector light */
{
int i, j;
double angle;
#pragma omp parallel for private(i,j,angle)
for (i=0; i<NX; i++)
for (j=0; j<NY; j++)
{
if ((TWOSPEEDS)||(xy_in[i*NY+j]))
{
angle = compute_phase(phi, psi, xy_in, i, j)/DPI + PHASE_SHIFT;
if (angle >= 1.0) angle -= 1.0;
else if (angle < 0.0) angle += 1.0;
wave[i*NY+j].phase = angle;
}
else wave[i*NY+j].phase = 0.0;
}
}
void compute_light_angle(short int xy_in[NX*NY], t_wave wave[NX*NY], int movie)
/* computes cosine of angle between normal vector and vector light */
{
int i, j;
double gradx, grady, norm, pscal;
static double dx, dy;
static int first = 1;
if (first)
{
dx = 2.0*(XMAX - XMIN)/(double)NX;
dy = 2.0*(YMAX - YMIN)/(double)NY;
first = 0;
}
#pragma omp parallel for private(i,j,gradx, grady, norm, pscal)
for (i=1; i<NX-2; i++)
for (j=1; j<NY-2; j++)
{
if ((TWOSPEEDS)||(xy_in[i*NY+j]))
{
gradx = (*wave[(i+1)*NY+j].p_zfield[movie] - *wave[(i-1)*NY+j].p_zfield[movie])/dx;
grady = (*wave[i*NY+j+1].p_zfield[movie] - *wave[i*NY+j-1].p_zfield[movie])/dy;
if (ADD_POTENTIAL)
{
gradx -= (*wave[(i+1)*NY+j].potential - *wave[(i-1)*NY+j].potential)*POT_FACT/dx;
grady -= (*wave[i*NY+j+1].potential - *wave[i*NY+j-1].potential)*POT_FACT/dy;
}
norm = sqrt(1.0 + gradx*gradx + grady*grady);
pscal = -gradx*light[0] - grady*light[1] + 1.0;
wave[i*NY+j].cos_angle = pscal/norm;
}
}
}
void compute_field_color(double value, double value2, int cplot, int palette, double rgb[3])
/* compute the color depending on the field value and color palette */
/* value2 is only used for flux representation */
{
int k;
switch (cplot) {
case (P_3D_AMP_ANGLE):
{
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*value, 1.0, 0, rgb);
break;
}
case (P_3D_ENERGY):
{
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, VSCALE_ENERGY*value, 1.0, 0, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (P_3D_LOG_ENERGY):
{
color_scheme_palette(COLOR_SCHEME, palette, LOG_SHIFT + LOG_SCALE*value, 1.0, 0, rgb);
break;
}
case (P_3D_TOTAL_ENERGY):
{
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, VSCALE_ENERGY*value, 1.0, 0, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (P_3D_LOG_TOTAL_ENERGY):
{
color_scheme_palette(COLOR_SCHEME, palette, LOG_SHIFT + LOG_SCALE*value, 1.0, 0, rgb);
break;
}
case (P_3D_MEAN_ENERGY):
{
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, VSCALE_ENERGY*value, 1.0, 0, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (P_3D_LOG_MEAN_ENERGY):
{
color_scheme_palette(COLOR_SCHEME, palette, LOG_SHIFT + LOG_SCALE*value, 1.0, 0, rgb);
break;
}
case (P_3D_PHASE):
{
amp_to_rgb_palette(value, rgb, palette);
break;
}
case (P_3D_FLUX_INTENSITY):
{
color_scheme_asym_palette(COLOR_SCHEME, palette, value*FLUX_SCALE, 1.0, 0, rgb);
break;
}
case (P_3D_FLUX_DIRECTION):
{
amp_to_rgb_palette(value, rgb, palette);
for (k=0; k<3; k++) rgb[k] *= tanh(value2*FLUX_CSCALE);
break;
}
}
}
double compute_interpolated_colors_wave(int i, int j, short int xy_in[NX*NY], t_wave wave[NX*NY],
double palette, int cplot, double rgb_e[3], double rgb_w[3], double rgb_n[3], double rgb_s[3], int fade, double fade_value, int movie)
{
int k;
double cw, ce, cn, cs, c_sw, c_se, c_nw, c_ne, c_mid, ca, z_mid;
double cw2, ce2, cn2, cs2, factor;
double *z_sw, *z_se, *z_nw, *z_ne;
z_sw = wave[i*NY+j].p_zfield[movie];
z_se = wave[(i+1)*NY+j].p_zfield[movie];
z_nw = wave[i*NY+j+1].p_zfield[movie];
z_ne = wave[(i+1)*NY+j+1].p_zfield[movie];
z_mid = 0.25*(*z_sw + *z_se + *z_nw + *z_ne);
c_sw = *wave[i*NY+j].p_cfield[movie];
c_se = *wave[(i+1)*NY+j].p_cfield[movie];
c_nw = *wave[i*NY+j+1].p_cfield[movie];
c_ne = *wave[(i+1)*NY+j+1].p_cfield[movie];
c_mid = 0.25*(c_sw + c_se + c_nw + c_ne);
cw = (c_sw + c_nw + c_mid)/3.0;
ce = (c_se + c_ne + c_mid)/3.0;
cs = (c_sw + c_se + c_mid)/3.0;
cn = (c_nw + c_ne + c_mid)/3.0;
/* data for second color parameter */
if (CHANGE_LUMINOSITY)
{
c_sw = *wave[i*NY+j].p_cfield[movie+2];
c_se = *wave[(i+1)*NY+j].p_cfield[movie+2];
c_nw = *wave[i*NY+j+1].p_cfield[movie+2];
c_ne = *wave[(i+1)*NY+j+1].p_cfield[movie+2];
c_mid = 0.25*(c_sw + c_se + c_nw + c_ne);
cw2 = (c_sw + c_nw + c_mid)/3.0;
ce2 = (c_se + c_ne + c_mid)/3.0;
cs2 = (c_sw + c_se + c_mid)/3.0;
cn2 = (c_nw + c_ne + c_mid)/3.0;
}
compute_field_color(ce, ce2, cplot, palette, rgb_e);
compute_field_color(cw, cw2, cplot, palette, rgb_w);
compute_field_color(cn, cn2, cplot, palette, rgb_n);
compute_field_color(cs, cs2, cplot, palette, rgb_s);
if (SHADE_3D)
{
ca = wave[i*NY+j].cos_angle;
ca = (ca + 1.0)*0.4 + 0.2;
// if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca *= 1.6;
if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca = (ca + 0.1)*1.6;
for (k=0; k<3; k++)
{
rgb_e[k] *= ca;
rgb_w[k] *= ca;
rgb_n[k] *= ca;
rgb_s[k] *= ca;
}
}
if (fade)
for (k=0; k<3; k++)
{
rgb_e[k] *= fade_value;
rgb_w[k] *= fade_value;
rgb_n[k] *= fade_value;
rgb_s[k] *= fade_value;
}
// if (ADD_POTENTIAL)
// {
// factor = 0.25*POT_FACT;
// z_mid += *wave[i*NY+j].potential*factor;
// z_mid += *wave[(i+1)*NY+j].potential*factor;
// z_mid += *wave[i*NY+j+1].potential*factor;
// z_mid += *wave[(i+1)*NY+j+1].potential*factor;
// }
return(z_mid);
}
void compute_wave_fields(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int zplot, int cplot, t_wave wave[NX*NY])
/* compute the necessary auxiliary fields */
{
int i, j;
if (COMPUTE_ENERGY)
compute_energy_field(phi, psi, xy_in, wave);
if ((zplot == P_3D_LOG_ENERGY)||(cplot == P_3D_LOG_ENERGY))
compute_log_energy_field(phi, psi, xy_in, wave);
if ((zplot == P_3D_PHASE)||(cplot == P_3D_PHASE))
compute_phase_field(phi, psi, xy_in, wave);
}
void init_speed_dissipation(short int xy_in[NX*NY], double tc[NX*NY], double tcc[NX*NY], double tgamma[NX*NY])
/* initialise fields for wave speed and dissipation */
{
int i, j, k, n, inlens;
double courant2 = COURANT*COURANT, courantb2 = COURANTB*COURANTB, lambda1, mu1;
double u, v, u1, x, y, xy[2], norm2, speed, r2, c, salpha, h, ll, ca, sa, x1, y1, dx, dy, sum, sigma, x0, y0, rgb[3];
double xc[NGRIDX*NGRIDY], yc[NGRIDX*NGRIDY], height[NGRIDX*NGRIDY];
t_circle circles[NMAXCIRCLES];
if (VARIABLE_IOR)
{
switch (IOR) {
case (IOR_MANDELBROT):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
u = 0.0;
v = 0.0;
k = 0;
while ((k<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
k++;
}
norm2 = u*u + v*v;
if (norm2 < MANDELLIMIT)
{
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else
{
speed = 1.0 + MANDEL_IOR_SCALE*log(1.0 + norm2/MANDELLIMIT);
if (speed < 0.01) speed = 0.01;
tcc[i*NY+j] = courant2*speed;
tc[i*NY+j] = COURANT*sqrt(speed);
tgamma[i*NY+j] = GAMMA;
}
}
}
break;
}
case (IOR_MANDELBROT_LIN):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
u = 0.0;
v = 0.0;
k = 0;
while ((k<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
k++;
}
if (k >= MANDELLEVEL)
{
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else
{
speed = (double)k/(double)MANDELLEVEL;
if (speed < 1.0e-10) speed = 1.0e-10;
else if (speed > 10.0) speed = 10.0;
tcc[i*NY+j] = courant2*speed;
tc[i*NY+j] = COURANT*sqrt(speed);
tgamma[i*NY+j] = GAMMA;
}
}
}
break;
}
case (IOR_MANDELBROT_MOD):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
u = 0.0;
v = 0.0;
k = 0;
while ((k<MANDELLEVEL)&&(u*u+v*v < 1000.0*MANDELLIMIT))
{
u1 = u*u - v*v + x;
v = 2.0*u*v + y;
u = u1;
k++;
}
if (k >= MANDELLEVEL)
{
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else
{
// speed = 5.0 - 4.0*pow((double)k/(double)MANDELLEVEL, 0.1);
speed = 1.0 + 4.0*log(1.0 - 0.1*log((double)k/(double)MANDELLEVEL));
if (speed < 1.0e-10) speed = 1.0e-10;
else if (speed > 10.0) speed = 10.0;
tcc[i*NY+j] = courantb2*speed;
tc[i*NY+j] = COURANTB*sqrt(speed);
tgamma[i*NY+j] = GAMMAB;
}
}
}
break;
}
case (IOR_EARTH):
{
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
r2 = xy[0]*xy[0] + xy[1]*xy[1];
if (r2 > 1.0) c = 0.0;
else if (r2 < 0.25*0.25) c = 0.8*COURANT;
else if (r2 < 0.58*0.58) c = COURANT*(0.68 - 0.55*r2);
else c = COURANT*(1.3 - 0.9*r2);
tc[i*NY+j] = c;
tcc[i*NY+j] = c;
tgamma[i*NY+j] = GAMMA;
}
}
break;
}
case (IOR_EXPLO_LENSING):
{
salpha = DPI/(double)NPOLY;
// lambda1 = LAMBDA;
// mu1 = LAMBDA;
lambda1 = 0.5*LAMBDA;
mu1 = 0.5*LAMBDA;
h = lambda1*tan(PI/(double)NPOLY);
if (h < mu1) ll = sqrt(mu1*mu1 - h*h);
else ll = 0.0;
// #pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++) if (xy_in[i*NY+j]) {
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
inlens = 0;
for (k=0; k<NPOLY; k++)
{
ca = cos(((double)k+0.5)*salpha + APOLY*PID);
sa = sin(((double)k+0.5)*salpha + APOLY*PID);
x1 = x*ca + y*sa;
y1 = -x*sa + y*ca;
if ((module2(x1 - lambda1 - ll, y1) < mu1)&&(module2(x1 - lambda1 + ll, y1) < mu1)) inlens = 1;
}
if (inlens) c = COURANTB;
else c = COURANT;
tc[i*NY+j] = c;
tcc[i*NY+j] = c*c;
tgamma[i*NY+j] = GAMMA;
}
else
{
tc[i*NY+j] = 0.0;
tcc[i*NY+j] = 0.0;
tgamma[i*NY+j] = 0.0;
}
}
break;
}
case (IOR_PERIODIC_WELLS):
{
dx = (XMAX - XMIN)/(double)NGRIDX;
dy = (YMAX - YMIN)/(double)NGRIDY;
sigma = 0.2*dx*dx;
for (i=0; i<NGRIDX; i++)
for (j=0; j<NGRIDY; j++)
{
n = j*NGRIDX + i;
xc[n] = XMIN + dx*((double)i + 0.5);
yc[n] = YMIN + dy*((double)j + 0.5);
if (j%2 == 1) yc[n] += 0.5*dx;
}
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
sum = 0.0;
for (n = 0; n<NGRIDX*NGRIDY; n++)
{
r2 = (x - xc[n])*(x - xc[n]) + (y - yc[n])*(y - yc[n]);
sum += exp(-r2/(sigma));
}
tc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tcc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tgamma[i*NY+j] = GAMMA;
}
}
break;
}
case (IOR_RANDOM_WELLS):
{
dx = (XMAX - XMIN)/(double)NGRIDX;
dy = (YMAX - YMIN)/(double)NGRIDY;
sigma = 0.2*dx*dx;
for (i=0; i<NGRIDX; i++)
for (j=0; j<NGRIDY; j++)
{
n = j*NGRIDX + i;
xc[n] = XMIN + dx*((double)i + 0.5 + 0.1*gaussian());
yc[n] = YMIN + dy*((double)j + 0.5 + 0.1*gaussian());
// if (j%2 == 1) yc[n] += 0.5*dx;
height[n] = 0.5 + 0.5*gaussian();
if (height[n] > 1.0) height[n] = 1.0;
if (height[n] < 0.0) height[n] = 0.0;
}
// #pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
sum = 0.0;
for (n = 0; n<NGRIDX*NGRIDY; n++)
{
r2 = (x - xc[n])*(x - xc[n]) + (y - yc[n])*(y - yc[n]);
sum += exp(-r2/(sigma))*height[n];
}
sum = tanh(sum);
tc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tcc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tgamma[i*NY+j] = GAMMA;
}
}
break;
}
case (IOR_POISSON_WELLS):
{
ncircles = init_circle_config_pattern(circles, C_POISSON_DISC);
for (n = 0; n<ncircles; n++)
{
height[n] = 0.5 + 0.5*gaussian();
if (height[n] > 1.0) height[n] = 1.0;
if (height[n] < 0.0) height[n] = 0.0;
}
for (n = 0; n<ncircles; n++) printf("Circle %i at (%.3lg, %.3lg) height %.3lg\n", n, circles[n].xc, circles[n].yc, height[n]);
sigma = 0.2*(XMAX - XMIN)*(YMAX - YMIN)/(double)ncircles;
// sigma = MU*MU;
for (i=0; i<NX; i++)
{
if (i%100 == 0) printf("Computing potential for column %i of %i\n", i, NX);
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
sum = 0.0;
for (n = 0; n<ncircles; n++)
{
r2 = (x - circles[n].xc)*(x - circles[n].xc) + (y - circles[n].yc)*(y - circles[n].yc);
sum += exp(-r2/(sigma))*height[n];
}
sum = tanh(sum);
// printf("%.3lg\n", sum);
tc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tcc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tgamma[i*NY+j] = GAMMA;
}
}
break;
}
case (IOR_PPP_WELLS):
{
ncircles = init_circle_config_pattern(circles, C_RAND_POISSON);
for (n = 0; n<ncircles; n++)
{
height[n] = 0.5 + 0.5*gaussian();
if (height[n] > 1.0) height[n] = 1.0;
if (height[n] < 0.0) height[n] = 0.0;
}
for (n = 0; n<ncircles; n++) printf("Circle %i at (%.3lg, %.3lg) height %.3lg\n", n, circles[n].xc, circles[n].yc, height[n]);
sigma = 0.2*(XMAX - XMIN)*(YMAX - YMIN)/(double)ncircles;
// sigma = MU*MU;
for (i=0; i<NX; i++)
{
if (i%100 == 0) printf("Computing potential for column %i of %i\n", i, NX);
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = xy[0];
y = xy[1];
sum = 0.0;
for (n = 0; n<ncircles; n++)
{
r2 = (x - circles[n].xc)*(x - circles[n].xc) + (y - circles[n].yc)*(y - circles[n].yc);
sum += exp(-r2/(sigma))*height[n];
}
sum = tanh(sum);
// printf("%.3lg\n", sum);
tc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tcc[i*NY+j] = COURANT*sum + COURANTB*(1.0-sum);
tgamma[i*NY+j] = GAMMA;
}
}
break;
}
case (IOR_LENS_WALL):
{
printf("Case IOR_LENS_WALL in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_LENS_CONCAVE):
{
printf("Case IOR_LENS_CONCAVE in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_LENS_CONVEX_CONCAVE):
{
printf("Case IOR_LENS_CONVEX_CONCAVE in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_TREE):
{
printf("Case IOR_TREE in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_WAVE_GUIDES_COUPLED):
{
printf("Case IOR_WAVE_GUIDES_COUPLED in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_WAVE_GUIDES_COUPLED_B):
{
printf("Case IOR_WAVE_GUIDES_COUPLED_B in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_WAVE_GUIDE_COATED):
{
printf("Case IOR_WAVE_GUIDE_COATED in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_MICHELSON):
{
printf("Case IOR_MICHELSON in init_speed_dissipation of sub_wave_3d needs to be updated\n");
exit(1);
break;
}
case (IOR_GRADIENT_INDEX_LENS):
{
/* focal distance if f = 1/(4*LAMBDA*n0*MU) */
/* with n0 = COURANT/COURANTB */
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = vabs(xy[0]);
y = vabs(xy[1]);
tc[i*NY+j] = COURANT;
if ((x > LAMBDA))
{
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else if (y > 1.0)
{
tcc[i*NY+j] = 0.0;
tgamma[i*NY+j] = 0.0;
}
else
{
tcc[i*NY+j] = courantb2/(1.0 - MU*y*y);
tgamma[i*NY+j] = GAMMAB;
}
}
}
break;
}
case (IOR_GRADIENT_INDEX_LENS_B):
{
/* focal distance if f = 1/(4*LAMBDA*n0*MU) */
/* with n0 = COURANT/COURANTB */
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
ij_to_xy(i, j, xy);
x = vabs(xy[0]);
y = vabs(xy[1]);
tc[i*NY+j] = COURANT;
if ((x > LAMBDA))
{
tcc[i*NY+j] = courant2;
tgamma[i*NY+j] = GAMMA;
}
else if (y > 1.0)
{
tcc[i*NY+j] = 0.0;
tgamma[i*NY+j] = 0.0;
}
else
{
speed = 1.0/(1.0 - MU*y*y);
speed *= speed;
tcc[i*NY+j] = courantb2*speed;
tgamma[i*NY+j] = GAMMAB;
}
}
}
break;
}
default:
{
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = COURANT;
tgamma[i*NY+j] = GAMMA;
}
}
}
}
}
else
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++){
for (j=0; j<NY; j++){
if (xy_in[i*NY+j] != 0)
{
tc[i*NY+j] = COURANT;
tcc[i*NY+j] = courant2;
if (xy_in[i*NY+j] == 1) tgamma[i*NY+j] = GAMMA;
else tgamma[i*NY+j] = GAMMAB;
}
else if (TWOSPEEDS)
{
tc[i*NY+j] = COURANTB;
tcc[i*NY+j] = courantb2;
tgamma[i*NY+j] = GAMMAB;
}
}
}
}
}
void init_zfield(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int zplot, t_wave wave[NX*NY], int movie)
/* compute the necessary fields for the z coordinate */
{
int i, j;
switch(zplot) {
case (P_3D_AMP_ANGLE):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &phi[i*NY+j];
break;
}
case (P_3D_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].energy;
break;
}
case (P_3D_LOG_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].log_energy;
break;
}
case (P_3D_TOTAL_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].total_energy;
break;
}
case (P_3D_LOG_TOTAL_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].log_total_energy;
break;
}
case (P_3D_MEAN_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].mean_energy;
break;
}
case (P_3D_LOG_MEAN_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].log_mean_energy;
break;
}
case (P_3D_PHASE):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].phase;
break;
}
case (P_3D_FLUX_INTENSITY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].flux_intensity;
break;
}
case (P_3D_FLUX_DIRECTION):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_zfield[movie] = &wave[i*NY+j].flux_direction;
break;
}
}
}
void init_cfield(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int cplot, t_wave wave[NX*NY], int movie)
/* compute the colors */
{
int i, j, k;
switch(cplot) {
case (P_3D_AMP_ANGLE):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &phi[i*NY+j];
break;
}
case (P_3D_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].energy;
break;
}
case (P_3D_LOG_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].log_energy;
break;
}
case (P_3D_TOTAL_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].total_energy;
break;
}
case (P_3D_LOG_TOTAL_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].log_total_energy;
break;
}
case (P_3D_MEAN_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].mean_energy;
break;
}
case (P_3D_LOG_MEAN_ENERGY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].log_mean_energy;
break;
}
case (P_3D_PHASE):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].phase;
break;
}
case (P_3D_FLUX_INTENSITY):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++) wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].flux_intensity;
break;
}
case (P_3D_FLUX_DIRECTION):
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++)
{
wave[i*NY+j].p_cfield[movie] = &wave[i*NY+j].flux_direction;
wave[i*NY+j].p_cfield[movie+2] = &wave[i*NY+j].flux_intensity;
/* information on intensity stored in second pointer to adjust luminosity */
}
break;
}
}
if (cplot != P_3D_FLUX_DIRECTION)
{
#pragma omp parallel for private(i,j)
for (i=0; i<NX; i++) for (j=0; j<NY; j++)
wave[i*NY+j].p_cfield[movie+2] = wave[i*NY+j].p_cfield[movie];
}
}
void compute_cfield(short int xy_in[NX*NY], int cplot, int palette, t_wave wave[NX*NY], int fade, double fade_value, int movie)
/* compute the colors */
{
int i, j, k;
double ca;
#pragma omp parallel for private(i,j,ca)
for (i=0; i<NX; i++) for (j=0; j<NY; j++)
{
compute_field_color(*wave[i*NY+j].p_cfield[movie], *wave[i*NY+j].p_cfield[movie+2], cplot, palette, wave[i*NY+j].rgb);
if (SHADE_3D)
{
ca = wave[i*NY+j].cos_angle;
ca = (ca + 1.0)*0.4 + 0.2;
// if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca *= 1.6;
if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca = (ca + 0.1)*1.6;
for (k=0; k<3; k++) wave[i*NY+j].rgb[k] *= ca;
}
if (fade) for (k=0; k<3; k++) wave[i*NY+j].rgb[k] *= fade_value;
}
}
void draw_wave_3d_ij(int i, int j, int movie, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY], int zplot, int cplot, int palette, int fade, double fade_value)
/* draw wave at simulation grid point (i,j) */
{
int k, l, draw = 1;
double xy[2], xy2[2], xy_screen[2], rgb[3], pos[2], ca, rgb_e[3], rgb_w[3], rgb_n[3], rgb_s[3];
double z_sw, z_se, z_nw, z_ne, z_mid, zw, ze, zn, zs, min = 1000.0, max = 0.0;
double xy_sw[2], xy_se[2], xy_nw[2], xy_ne[2], xy_mid[2];
double energy, zfloor = -10.0;
if (NON_DIRICHLET_BC)
draw = (xy_in[i*NY+j])&&(xy_in[(i+1)*NY+j])&&(xy_in[i*NY+j+1])&&(xy_in[(i+1)*NY+j+1]);
else draw = (TWOSPEEDS)||(xy_in[i*NY+j]);
if (FLOOR_ZCOORD)
draw = (draw)&&(*wave[i*NY+j].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j].p_zfield[movie] > zfloor)&&(*wave[i*NY+j+1].p_zfield[movie] > zfloor)&&(*wave[(i+1)*NY+j+1].p_zfield[movie] > zfloor);
if (draw)
{
if (AMPLITUDE_HIGH_RES > 0)
{
z_mid = compute_interpolated_colors_wave(i, j, xy_in, wave, palette, cplot,
rgb_e, rgb_w, rgb_n, rgb_s, fade, fade_value, movie);
/* TODO: incorporate these in wave structure */
ij_to_xy(i, j, xy_sw);
ij_to_xy(i+1, j, xy_se);
ij_to_xy(i, j+1, xy_nw);
ij_to_xy(i+1, j+1, xy_ne);
// if (ADD_POTENTIAL)
// {
// z_mid += *wave[i*NY+j].potential*POT_FACT*0.25;
// z_mid += *wave[(i+1)*NY+j].potential*POT_FACT*0.25;
// z_mid += *wave[i*NY+j+1].potential*POT_FACT*0.25;
// z_mid += *wave[(i+1)*NY+j+1].potential*POT_FACT*0.25;
// }
/* TODO: incorporate these in wave structure */
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
if (AMPLITUDE_HIGH_RES == 1)
{
if (ADD_POTENTIAL)
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
// draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie] - *wave[i*NY+j+1].potential*POT_FACT);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie] - *wave[i*NY+j].potential*POT_FACT);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie] - *wave[(i+1)*NY+j].potential*POT_FACT);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie] - *wave[(i+1)*NY+j+1].potential*POT_FACT);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie] - *wave[i*NY+j].potential*POT_FACT);
glEnd ();
}
else
{
glBegin(GL_TRIANGLE_FAN);
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
else /* experimental */
{
glColor3f(rgb_w[0], rgb_w[1], rgb_w[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_sw, *wave[i*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
glEnd ();
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_se, *wave[(i+1)*NY+j].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
glBegin(GL_TRIANGLE_STRIP);
draw_vertex_xyz(xy_mid, z_mid);
draw_vertex_xyz(xy_nw, *wave[i*NY+j+1].p_zfield[movie]);
draw_vertex_xyz(xy_ne, *wave[(i+1)*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
else
{
glColor3f(wave[i*NY+j].rgb[0], wave[i*NY+j].rgb[1], wave[i*NY+j].rgb[2]);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, *wave[i*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j].p_zfield[movie]);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, *wave[(i+1)*NY+j+1].p_zfield[movie]);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, *wave[i*NY+j+1].p_zfield[movie]);
glEnd ();
}
}
if ((DRAW_OUTSIDE_GRAY)&&((!xy_in[i*NY+j])))
{
glColor3f(0.5, 0.5, 0.5);
glBegin(GL_TRIANGLE_FAN);
ij_to_xy(i, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i+1, j+1, xy);
draw_vertex_xyz(xy, 0.0);
ij_to_xy(i, j+1, xy);
draw_vertex_xyz(xy, 0.0);
glEnd ();
}
}
void draw_wave_3d(int movie, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], t_wave wave[NX*NY], int zplot, int cplot, int palette, int fade, double fade_value, int refresh)
{
int i, j;
double observer_angle;
blank();
if (DRAW_BILLIARD) draw_billiard_3d(fade, fade_value);
if (refresh)
{
compute_wave_fields(phi, psi, xy_in, zplot, cplot, wave);
if (SHADE_3D) compute_light_angle(xy_in, wave, movie);
compute_cfield(xy_in, cplot, palette, wave, fade, fade_value, movie);
}
if (!ROTATE_VIEW)
{
for (i=0; i<NX-2; i++)
for (j=0; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else /* draw facets in an order depending on the position of the observer */
{
observer_angle = argument(observer[0], observer[1]);
observer_angle -= 0.5*PID;
if (observer_angle < 0.0) observer_angle += DPI;
printf("Observer_angle = %.3lg\n", observer_angle*360.0/DPI);
if ((observer_angle > 0.0)&&(observer_angle < PID))
{
for (j=1; j<NY-2; j++)
for (i=1; i<NX-2; i++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < PI)
{
for (i=NX-3; i>0; i--)
for (j=1; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else if (observer_angle < 1.5*PI)
{
for (j=NY-3; j>0; j--)
for (i=1; i<NX-2; i++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
else
{
for (i=1; i<NX-2; i++)
for (j=1; j<NY-2; j++)
draw_wave_3d_ij(i, j, movie, phi, psi, xy_in, wave, zplot, cplot, palette, fade, fade_value);
}
}
if (DRAW_BILLIARD_FRONT) draw_billiard_3d_front(fade, fade_value);
}
void draw_color_scheme_palette_3d(double x1, double y1, double x2, double y2, int plot,
double min, double max, int palette, int fade, double fade_value)
{
int j, k, ij_botleft[2], ij_topright[2], imin, imax, jmin, jmax;
double y, dy, dy_e, dy_phase, rgb[3], value, lum, amp;
// printf("Drawing color bar\n");
xy_to_ij(x1, y1, ij_botleft);
xy_to_ij(x2, y2, ij_topright);
rgb[0] = 0.0; rgb[1] = 0.0; rgb[2] = 0.0;
erase_area_rgb(0.5*(x1 + x2), x2 - x1, 0.5*(y1 + y2), y2 - y1, rgb);
if (ROTATE_COLOR_SCHEME)
{
jmin = ij_botleft[0];
jmax = ij_topright[0];
imin = ij_botleft[1];
imax = ij_topright[1];
}
else
{
imin = ij_botleft[0];
imax = ij_topright[0];
jmin = ij_botleft[1];
jmax = ij_topright[1];
}
glBegin(GL_QUADS);
dy = (max - min)/((double)(jmax - jmin));
dy_e = max/((double)(jmax - jmin));
dy_phase = 1.0/((double)(jmax - jmin));
for (j = jmin; j < jmax; j++)
{
switch (plot) {
case (P_3D_AMPLITUDE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (P_3D_ANGLE):
{
value = 1.0*dy*(double)(j - jmin);
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (P_3D_AMP_ANGLE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (P_3D_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_TOTAL_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_TOTAL_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_MEAN_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_MEAN_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_PHASE):
{
value = dy_phase*(double)(j - jmin);
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_FLUX_INTENSITY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_FLUX_DIRECTION):
{
value = dy_phase*(double)(j - jmin);
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
break;
}
case (Z_EULER_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_LOG_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_VORTICITY_ASYM):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_LPRESSURE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULERC_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
printf("Palette value %.3lg\n", value);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
}
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
glColor3f(rgb[0], rgb[1], rgb[2]);
if (ROTATE_COLOR_SCHEME)
{
draw_vertex_ij(j, imin);
draw_vertex_ij(j, imax);
draw_vertex_ij(j+1, imax);
draw_vertex_ij(j+1, imin);
}
else
{
draw_vertex_ij(imin, j);
draw_vertex_ij(imax, j);
draw_vertex_ij(imax, j+1);
draw_vertex_ij(imin, j+1);
}
}
glEnd ();
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
glLineWidth(BOUNDARY_WIDTH);
draw_rectangle_noscale(x1, y1, x2, y2);
}
void draw_circular_color_scheme_palette_3d(double x1, double y1, double radiusx, double radiusy, int plot, double min, double max, int palette, int fade, double fade_value)
{
int j, k, ij[2], jmin=0;
double x, y, dy, dy_e, dy_phase, rgb[3], value, lum, amp, dphi, pos[2], phi, xy[2];
printf("Drawing circular color scheme\n");
glBegin(GL_TRIANGLE_FAN);
// xy_to_pos(x1, y1, xy);
// glVertex2d(xy[0], xy[1]);
xy_to_ij(x1, y1, ij);
draw_vertex_ij(ij[0], ij[1]);
dy = (max - min)/360.0;
dy_e = max/360.0;
dy_phase = 1.0/360.0;
dphi = DPI/360.0;
for (j = 0; j <= 360; j++)
{
switch (plot) {
case (P_3D_AMPLITUDE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (P_3D_ANGLE):
{
value = 1.0*dy*(double)(j - jmin);
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 0, rgb);
break;
}
case (P_3D_AMP_ANGLE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (P_3D_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_TOTAL_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_TOTAL_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_MEAN_ENERGY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_LOG_MEAN_ENERGY):
{
value = LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_PHASE):
{
value = dy_phase*(double)(j - jmin);
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_FLUX_INTENSITY):
{
value = dy_e*(double)(j - jmin)*100.0/E_SCALE;
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
else color_scheme_palette(COLOR_SCHEME, palette, value, 1.0, 1, rgb);
break;
}
case (P_3D_FLUX_DIRECTION):
{
value = dy_phase*(double)(j - jmin);
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
break;
}
case (Z_EULER_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_LOG_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_VORTICITY_ASYM):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULER_LPRESSURE):
{
value = min + 1.0*dy*(double)(j - jmin);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
case (Z_EULERC_VORTICITY):
{
value = min + 1.0*dy*(double)(j - jmin);
printf("Palette value %.3lg\n", value);
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
break;
}
}
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
glColor3f(rgb[0], rgb[1], rgb[2]);
xy_to_ij(x1 + radiusx*cos(dphi*(double)j), y1 + radiusy*sin(dphi*(double)j), ij);
draw_vertex_ij(ij[0], ij[1]);
}
xy_to_ij(x1 + radiusx*cos(dphi), y1 + radiusy*sin(dphi), ij);
draw_vertex_ij(ij[0], ij[1]);
glEnd ();
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
glLineWidth(BOUNDARY_WIDTH*3/2);
glEnable(GL_LINE_SMOOTH);
dphi = DPI/(double)NSEG;
glBegin(GL_LINE_LOOP);
for (j = 0; j < NSEG; j++)
{
xy_to_ij(x1 + radiusx*cos(dphi*(double)j), y1 + radiusy*sin(dphi*(double)j), ij);
draw_vertex_ij(ij[0], ij[1]);
}
glEnd ();
}
void print_speed_3d(double speed, int fade, double fade_value)
{
char message[100];
double y = YMAX - 0.1, pos[2];
static double xleftbox, xlefttext;
static int first = 1;
if (first)
{
xleftbox = XMIN + 0.3;
xlefttext = xleftbox - 0.45;
first = 0;
}
erase_area_hsl(xleftbox, y + 0.025, 0.22, 0.05, 0.0, 0.9, 0.0);
if (fade) glColor3f(fade_value, fade_value, fade_value);
else glColor3f(1.0, 1.0, 1.0);
// xy_to_pos(xlefttext + 0.28, y, pos);
sprintf(message, "Mach %.3lg", speed);
write_text(xlefttext + 0.28, y, message);
}
void init_wave_fields(t_wave wave[NX*NY])
/* initialize some auxiliary fields */
{
int i, k;
#pragma omp parallel for private(i)
for (i=0; i<NX*NY; i++)
{
wave[i].total_energy = 0.0;
wave[i].flux_counter = 0;
for (k=0; k<FLUX_WINDOW; k++)
wave[i].flux_int_table[k] = 0.0;
}
}
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