1532 lines
52 KiB
C
1532 lines
52 KiB
C
/*********************/
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/* animation part */
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/*********************/
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void init_3d() /* initialisation of window */
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{
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glLineWidth(3);
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glClearColor(0.0, 0.0, 0.0, 1.0);
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glClear(GL_COLOR_BUFFER_BIT);
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glOrtho(XMIN, XMAX, YMIN, YMAX , -1.0, 1.0);
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}
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void xyz_to_xy(double x, double y, double z, double xy_out[2])
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{
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int i;
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double s, t, xinter[3];
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static double n2, m2, d, sm2, sn2, v[3], h[2], plane_ratio = 0.5;
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static int first = 1;
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if (((first)&&(REPRESENTATION_3D == REP_PROJ_3D))||(reset_view))
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{
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m2 = observer[0]*observer[0] + observer[1]*observer[1];
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n2 = m2 + observer[2]*observer[2];
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d = plane_ratio*n2;
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sm2 = sqrt(m2);
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sn2 = sqrt(n2);
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h[0] = observer[1]/sm2;
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h[1] = -observer[0]/sm2;
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v[0] = -observer[0]*observer[2]/(sn2*sm2);
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v[1] = -observer[1]*observer[2]/(sn2*sm2);
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v[2] = m2/(sn2*sm2);
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first = 0;
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reset_view = 0;
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// printf("h = (%.3lg, %.3lg)\n", h[0], h[1]);
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// printf("v = (%.3lg, %.3lg, %.3lg)\n", v[0], v[1], v[2]);
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}
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switch (REPRESENTATION_3D) {
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case (REP_AXO_3D):
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{
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for (i=0; i<2; i++)
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xy_out[i] = x*u_3d[i] + y*v_3d[i] + z*w_3d[i];
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break;
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}
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case (REP_PROJ_3D):
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{
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if (z > ZMAX_FACTOR*n2) z = ZMAX_FACTOR*n2;
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z *= Z_SCALING_FACTOR;
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s = observer[0]*x + observer[1]*y + observer[2]*z;
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t = (d - s)/(n2 - s);
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xinter[0] = t*observer[0] + (1.0-t)*x;
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xinter[1] = t*observer[1] + (1.0-t)*y;
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xinter[2] = t*observer[2] + (1.0-t)*z;
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xy_out[0] = XSHIFT_3D + XY_SCALING_FACTOR*(xinter[0]*h[0] + xinter[1]*h[1]);
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xy_out[1] = YSHIFT_3D + XY_SCALING_FACTOR*(xinter[0]*v[0] + xinter[1]*v[1] + xinter[2]*v[2]);
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break;
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}
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}
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}
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void draw_vertex_ij(int i, int j)
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{
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double xy[2];
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ij_to_xy(i, j, xy);
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// if (xy[1] > 0.0) printf("(i,j) = (%i,%i), (x,y) = (%.2lg,%.2lg)\n", i, j, xy[0], xy[1]);
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glVertex2d(xy[0], xy[1]);
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}
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void draw_vertex_xyz(double xy[2], double z)
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{
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double xy_screen[2];
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xyz_to_xy(xy[0], xy[1], z, xy_screen);
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glVertex2d(xy_screen[0], xy_screen[1]);
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}
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void draw_vertex_xyz_shift(double xy[2], double z, int shiftx, int shifty)
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{
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double xy_screen[2];
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xyz_to_xy(xy[0] + (double)shiftx*(XMAX - XMIN), xy[1] + (double)shifty*(YMAX - YMIN), z, xy_screen);
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glVertex2d(xy_screen[0], xy_screen[1]);
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}
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void draw_vertex_x_y_z(double x, double y, double z)
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{
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double xy_screen[2];
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xyz_to_xy(x, y, z, xy_screen);
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glVertex2d(xy_screen[0], xy_screen[1]);
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}
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void draw_rectangle_3d(double x1, double y1, double x2, double y2)
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{
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glBegin(GL_LINE_LOOP);
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draw_vertex_x_y_z(x1, y1, 0.0);
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draw_vertex_x_y_z(x2, y1, 0.0);
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draw_vertex_x_y_z(x2, y2, 0.0);
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draw_vertex_x_y_z(x1, y2, 0.0);
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glEnd();
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}
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void draw_rectangle_noscale(double x1, double y1, double x2, double y2)
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{
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glBegin(GL_LINE_LOOP);
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glVertex2d(x1, y1);
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glVertex2d(x2, y1);
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glVertex2d(x2, y2);
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glVertex2d(x1, y2);
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glEnd();
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}
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void draw_circle_3d(double x, double y, double r, int nseg)
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{
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int i;
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double pos[2], alpha, dalpha;
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dalpha = DPI/(double)nseg;
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glBegin(GL_LINE_LOOP);
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for (i=0; i<=nseg; i++)
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{
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alpha = (double)i*dalpha;
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draw_vertex_x_y_z(x + r*cos(alpha), y + r*sin(alpha), 0.0);
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}
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glEnd();
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}
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void tvertex_lineto_3d(t_vertex z)
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/* draws boundary segments of isospectral billiard */
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{
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draw_vertex_x_y_z(z.x, z.y, 0.0);
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}
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void draw_billiard_3d(int fade, double fade_value) /* draws the billiard boundary */
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{
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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, width, a, b, c, ymax;
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int i, j, k, k1, k2, mr2;
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static int first = 1, nsides;
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if (BLACK)
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{
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if (fade) glColor3f(fade_value, fade_value, fade_value);
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else glColor3f(1.0, 1.0, 1.0);
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}
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else
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{
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if (fade) glColor3f(1.0 - fade_value, 1.0 - fade_value, 1.0 - fade_value);
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else glColor3f(0.0, 0.0, 0.0);
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}
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glLineWidth(BOUNDARY_WIDTH);
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glEnable(GL_LINE_SMOOTH);
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switch (B_DOMAIN) {
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case (D_RECTANGLE):
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{
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glBegin(GL_LINE_LOOP);
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draw_vertex_x_y_z(LAMBDA, -1.0, 0.0);
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draw_vertex_x_y_z(LAMBDA, 1.0, 0.0);
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draw_vertex_x_y_z(-LAMBDA, 1.0, 0.0);
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draw_vertex_x_y_z(-LAMBDA, -1.0, 0.0);
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glEnd();
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break;
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}
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case (D_ELLIPSE):
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{
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glBegin(GL_LINE_LOOP);
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for (i=0; i<=NSEG; i++)
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{
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phi = (double)i*DPI/(double)NSEG;
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x = 1.05*LAMBDA*cos(phi);
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y = 1.05*sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd ();
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/* draw foci */
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// if (FOCI)
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// {
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// glColor3f(0.3, 0.3, 0.3);
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// x0 = sqrt(LAMBDA*LAMBDA-1.0);
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//
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// glLineWidth(2);
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// glEnable(GL_LINE_SMOOTH);
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//
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// draw_circle(x0, 0.0, r, NSEG);
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// draw_circle(-x0, 0.0, r, NSEG);
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// }
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break;
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}
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case (D_STADIUM):
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{
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glBegin(GL_LINE_LOOP);
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for (i=0; i<=NSEG; i++)
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{
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phi = -PID + (double)i*PI/(double)NSEG;
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x = 0.5*LAMBDA + cos(phi);
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y = sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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for (i=0; i<=NSEG; i++)
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{
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phi = PID + (double)i*PI/(double)NSEG;
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x = -0.5*LAMBDA + cos(phi);
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y = sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd();
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break;
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}
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case (D_SINAI):
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{
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draw_circle_3d(0.0, 0.0, LAMBDA, NSEG);
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break;
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}
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case (D_POLYGON):
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{
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omega = DPI/((double)NPOLY);
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glBegin(GL_LINE_LOOP);
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for (i=0; i<=NPOLY; i++)
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{
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x = 1.0075*cos(i*omega + APOLY*PID);
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y = 1.0075*sin(i*omega + APOLY*PID);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd ();
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break;
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}
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case (D_YOUNG):
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{
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if (FILL_BILLIARD_COMPLEMENT)
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{
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if (fade) glColor3f(0.75*fade_value, 0.75*fade_value, 0.75*fade_value);
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else glColor3f(0.75, 0.75, 0.75);
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glBegin(GL_TRIANGLE_FAN);
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draw_vertex_x_y_z(-MU, YMIN, 0.0);
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draw_vertex_x_y_z(-MU, -LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, -LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, YMIN, 0.0);
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glEnd();
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glBegin(GL_TRIANGLE_FAN);
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draw_vertex_x_y_z(-MU, YMAX, 0.0);
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draw_vertex_x_y_z(-MU, LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(MU, LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(MU, YMAX, 0.0);
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glEnd();
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glBegin(GL_TRIANGLE_FAN);
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draw_vertex_x_y_z(-MU, -LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(-MU, LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, -LAMBDA+MU, 0.0);
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glEnd();
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}
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else
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{
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glBegin(GL_LINE_STRIP);
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draw_vertex_x_y_z(-MU, YMIN, 0.0);
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draw_vertex_x_y_z(-MU, -LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, -LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, YMIN, 0.0);
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glEnd();
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glBegin(GL_LINE_STRIP);
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draw_vertex_x_y_z(-MU, YMAX, 0.0);
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draw_vertex_x_y_z(-MU, LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(MU, LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(MU, YMAX, 0.0);
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glEnd();
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glBegin(GL_LINE_LOOP);
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draw_vertex_x_y_z(-MU, -LAMBDA+MU, 0.0);
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draw_vertex_x_y_z(-MU, LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, LAMBDA-MU, 0.0);
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draw_vertex_x_y_z(MU, -LAMBDA+MU, 0.0);
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glEnd();
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}
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}
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case (D_GRATING):
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{
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k1 = -(int)(-YMIN/LAMBDA);
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k2 = (int)(YMAX/LAMBDA);
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for (i=k1; i<= k2; i++)
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{
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z = (double)i*LAMBDA;
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draw_circle_3d(0.0, z, MU, NSEG);
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}
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break;
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}
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case (D_EHRENFEST):
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{
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alpha = asin(MU/LAMBDA);
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x0 = 1.0 - sqrt(LAMBDA*LAMBDA - MU*MU);
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dphi = 2.0*(PI-alpha)/((double)NSEG);
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glBegin(GL_LINE_LOOP);
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for (i=0; i<=NSEG; i++)
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{
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phi = -PI + alpha + (double)i*dphi;
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x = 1.0 + (LAMBDA + 0.01)*cos(phi);
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y = (LAMBDA + 0.01)*sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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phi = PI - alpha;
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x = 1.0 + (LAMBDA + 0.01)*cos(phi);
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y = 0.01 + (LAMBDA + 0.01)*sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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phi = alpha;
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x = -1.0 + (LAMBDA + 0.01)*cos(phi);
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y = 0.01 + (LAMBDA + 0.01)*sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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for (i=0; i<=NSEG; i++)
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{
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phi = alpha + (double)i*dphi;
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x = -1.0 + (LAMBDA + 0.01)*cos(phi);
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y = (LAMBDA + 0.01)*sin(phi);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd ();
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break;
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}
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case (D_TWO_PARABOLAS):
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{
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dy = 3.0*MU/(double)NSEG;
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width = 0.25*MU;
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if (width > 0.2) width = 0.2;
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glBegin(GL_LINE_LOOP);
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for (i = 0; i < NSEG+1; i++)
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{
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y = -1.5*MU + dy*(double)i;
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x = 0.25*y*y/MU - MU - LAMBDA;
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draw_vertex_x_y_z(x, y, 0.0);
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}
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for (i = 0; i < NSEG+1; i++)
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{
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y = 1.5*MU - dy*(double)i;
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x = 0.25*y*y/MU - (MU + width) - LAMBDA;
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd ();
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glBegin(GL_LINE_LOOP);
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for (i = 0; i < NSEG+1; i++)
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{
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y = -1.5*MU + dy*(double)i;
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x = LAMBDA + MU - 0.25*y*y/MU;
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draw_vertex_x_y_z(x, y, 0.0);
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}
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for (i = 0; i < NSEG+1; i++)
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{
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y = 1.5*MU - dy*(double)i;
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x = LAMBDA + (MU + width) - 0.25*y*y/MU;
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draw_vertex_x_y_z(x, y, 0.0);
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}
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glEnd ();
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// if (FOCI)
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// {
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// glColor3f(0.3, 0.3, 0.3);
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// draw_circle(-LAMBDA, 0.0, r, NSEG);
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// draw_circle(LAMBDA, 0.0, r, NSEG);
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// }
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break;
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}
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case (D_POLY_PARABOLAS):
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{
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omega = PI/((double)NPOLY);
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a = 0.25/MU;
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b = 1.0/tan(omega);
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c = LAMBDA + MU;
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ymax = (-b + sqrt(b*b + 4.0*a*c))/(2.0*a);
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dy = 2.0*ymax/(double)NSEG;
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glBegin(GL_LINE_LOOP);
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for (k=0; k<NPOLY; k++)
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{
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alpha = APOLY*PID + (2.0*(double)k+1.0)*omega;
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for (i = 0; i < NSEG+1; i++)
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{
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y1 = -ymax + dy*(double)i;
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x1 = MU + LAMBDA - 0.25*y1*y1/MU;
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x = x1*cos(alpha) - y1*sin(alpha);
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y = x1*sin(alpha) + y1*cos(alpha);
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draw_vertex_x_y_z(x, y, 0.0);
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}
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}
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glEnd ();
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// if (FOCI)
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// {
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// glColor3f(0.3, 0.3, 0.3);
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// for (k=0; k<NPOLY; k++)
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// {
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// alpha = APOLY*PID + (2.0*(double)k+1.0)*omega;
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// draw_circle(LAMBDA*cos(alpha), LAMBDA*sin(alpha), r, NSEG);
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// }
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// }
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break;
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}
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case (D_MENGER):
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{
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glLineWidth(3);
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// draw_rectangle(XMIN, -1.0, XMAX, 1.0);
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/* level 1 */
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if (MDEPTH > 0)
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{
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glLineWidth(2);
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x = 1.0/((double)MRATIO);
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draw_rectangle_3d(x, x, -x, -x);
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}
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/* level 2 */
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if (MDEPTH > 1)
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{
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glLineWidth(1);
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mr2 = MRATIO*MRATIO;
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l = 2.0/((double)mr2);
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for (i=0; i<MRATIO; i++)
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for (j=0; j<MRATIO; j++)
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if ((i!=MRATIO/2)||(j!=MRATIO/2))
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{
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x = -1.0 - 0.5*l + 2.0*((double)i + 0.5)/((double)MRATIO);
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y = -1.0 - 0.5*l + 2.0*((double)j + 0.5)/((double)MRATIO);
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draw_rectangle_3d(x, y, x+l, y+l);
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}
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}
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/* level 3 */
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if (MDEPTH > 2)
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{
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glLineWidth(1);
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l = 2.0/((double)(mr2*MRATIO));
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for (i=0; i<mr2; i++)
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for (j=0; j<mr2; j++)
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if ( (((i%MRATIO!=MRATIO/2))||(j%MRATIO!=MRATIO/2)) && (((i/MRATIO!=MRATIO/2))||(j/MRATIO!=MRATIO/2)) )
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{
|
|
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 */
|
|
// glLineWidth(BOUNDARY_WIDTH/2);
|
|
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 */
|
|
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 */
|
|
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 */
|
|
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 */
|
|
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;
|
|
}
|
|
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_vertex_visible(double x, double y, 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 */
|
|
{
|
|
static int first = 1;
|
|
static double olength;
|
|
|
|
if (first)
|
|
{
|
|
olength = module2(observer[0], observer[1]);
|
|
first = 0;
|
|
}
|
|
|
|
if (x*observer[0] + y*observer[1] > margin*olength*module2(x,y))
|
|
draw_vertex_x_y_z(x, y, 0.0);
|
|
else
|
|
{
|
|
glEnd();
|
|
glBegin(GL_LINE_STRIP);
|
|
}
|
|
}
|
|
|
|
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;
|
|
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_STADIUM):
|
|
{
|
|
glBegin(GL_LINE_STRIP);
|
|
for (i=0; i<=NSEG; i++)
|
|
{
|
|
phi = -PID + (double)i*PI/(double)NSEG;
|
|
x = 0.5*LAMBDA + cos(phi);
|
|
y = sin(phi);
|
|
draw_vertex_visible(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_visible(x, y, 0.0);
|
|
}
|
|
glEnd();
|
|
break;
|
|
}
|
|
case (D_POLYGON):
|
|
{
|
|
omega = DPI/((double)NPOLY);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (i=0; i<=NPOLY; i++)
|
|
{
|
|
x = cos(i*omega + APOLY*PID);
|
|
y = sin(i*omega + APOLY*PID);
|
|
draw_vertex_visible(x, y, 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);
|
|
glEnd();
|
|
|
|
glBegin(GL_LINE_STRIP);
|
|
draw_vertex_x_y_z(-MU, YMAX, 0.0);
|
|
draw_vertex_x_y_z(-MU, LAMBDA+MU, 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);
|
|
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;
|
|
}
|
|
default:
|
|
{
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
void compute_energy_field(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], double energies[NX*NY])
|
|
/* computes cosine of angle between normal vector and vector light */
|
|
{
|
|
int i, j;
|
|
|
|
#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])) energies[i*NY+j] = PLOT_SCALE_ENERGY*compute_energy_mod(phi, psi, xy_in, i, j);
|
|
else energies[i*NY+j] = 0.0;
|
|
}
|
|
}
|
|
|
|
|
|
void compute_phase_field(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], double phase[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;
|
|
phase[i*NY+j] = angle;
|
|
}
|
|
else phase[i*NY+j] = 0.0;
|
|
}
|
|
}
|
|
|
|
|
|
// void compute_log_energy_field(double *phi[NX], double *psi[NX], short int xy_in[NX*NY], double *energies[NX])
|
|
// /* computes cosine of angle between normal vector and vector light */
|
|
// {
|
|
// int i, j;
|
|
//
|
|
// for (i=0; i<NX; i++)
|
|
// for (j=0; j<NY; j++)
|
|
// {
|
|
// if ((TWOSPEEDS)||(xy_in[i*NY+j])) energies[i][j] = PLOT_SCALE_ENERGY*compute_energy(phi, psi, xy_in, i, j);
|
|
// else energies[i][j] = 0.0;
|
|
// }
|
|
// }
|
|
|
|
|
|
void compute_light_angle(double field[NX*NY], short int xy_in[NX*NY], double cos_angle[NX*NY])
|
|
/* 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 = (field[(i+1)*NY+j] - field[(i-1)*NY+j])/dx;
|
|
grady = (field[i*NY+j+1] - field[i*NY+j-1])/dy;
|
|
norm = sqrt(1.0 + gradx*gradx + grady*grady);
|
|
pscal = -gradx*light[0] - grady*light[1] + 1.0;
|
|
|
|
cos_angle[i*NY+j] = pscal/norm;
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void energy_color_scheme(int palette, double energy, double rgb[3])
|
|
{
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, energy, 1.0, 0, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, energy, 1.0, 0, rgb);
|
|
}
|
|
|
|
void log_energy_color_scheme(int palette, double energy, double rgb[3])
|
|
{
|
|
color_scheme_palette(COLOR_SCHEME, palette, LOG_SHIFT + LOG_SCALE*log(energy), 1.0, 0, rgb);
|
|
// if (energy > 1.0e-8) printf("energy = %.3lg, log energy = %.3lg\n", energy, LOG_SHIFT + LOG_SCALE*log(energy));
|
|
}
|
|
|
|
void phase_color_scheme(int palette, double phase, double rgb[3])
|
|
{
|
|
// color_scheme_palette(C_ONEDIM_LINEAR, palette, phase/DPI, 1.0, 0, rgb);
|
|
amp_to_rgb_palette(phase, rgb, palette);
|
|
}
|
|
|
|
|
|
void compute_interpolated_colors(int i, int j, double field[NX*NY], double palette, int plot,
|
|
double *z_sw, double *z_se, double *z_nw, double *z_ne, double *z_mid,
|
|
double rgb_e[3], double rgb_w[3], double rgb_n[3], double rgb_s[3])
|
|
{
|
|
double zw, ze, zn, zs;
|
|
|
|
*z_sw = field[i*NY+j];
|
|
*z_se = field[(i+1)*NY+j];
|
|
*z_nw = field[i*NY+j+1];
|
|
*z_ne = field[(i+1)*NY+j+1];
|
|
|
|
*z_mid = 0.25*(*z_sw + *z_se + *z_nw + *z_ne);
|
|
|
|
zw = (*z_sw + *z_nw + *z_mid)/3.0;
|
|
ze = (*z_se + *z_ne + *z_mid)/3.0;
|
|
zs = (*z_sw + *z_se + *z_mid)/3.0;
|
|
zn = (*z_nw + *z_ne + *z_mid)/3.0;
|
|
|
|
if (plot == P_3D_ENERGY)
|
|
{
|
|
energy_color_scheme(palette, VSCALE_ENERGY*ze, rgb_e);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zw, rgb_w);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zn, rgb_n);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zs, rgb_s);
|
|
}
|
|
else if (plot == P_3D_LOG_ENERGY)
|
|
{
|
|
log_energy_color_scheme(palette, ze, rgb_e);
|
|
log_energy_color_scheme(palette, zw, rgb_w);
|
|
log_energy_color_scheme(palette, zn, rgb_n);
|
|
log_energy_color_scheme(palette, zs, rgb_s);
|
|
}
|
|
else
|
|
{
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*ze, 1.0, 0, rgb_e);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zw, 1.0, 0, rgb_w);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zn, 1.0, 0, rgb_n);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zs, 1.0, 0, rgb_s);
|
|
}
|
|
}
|
|
|
|
void compute_interpolated_colors_new(int i, int j, double zfield[NX*NY], double colorfield[NX*NY], double palette, int cplot,
|
|
double *z_sw, double *z_se, double *z_nw, double *z_ne, double *z_mid,
|
|
double rgb_e[3], double rgb_w[3], double rgb_n[3], double rgb_s[3])
|
|
{
|
|
double zw, ze, zn, zs, c_sw, c_se, c_nw, c_ne, c_mid;
|
|
|
|
*z_sw = zfield[i*NY+j];
|
|
*z_se = zfield[(i+1)*NY+j];
|
|
*z_nw = zfield[i*NY+j+1];
|
|
*z_ne = zfield[(i+1)*NY+j+1];
|
|
|
|
*z_mid = 0.25*(*z_sw + *z_se + *z_nw + *z_ne);
|
|
|
|
c_sw = colorfield[i*NY+j];
|
|
c_se = colorfield[(i+1)*NY+j];
|
|
c_nw = colorfield[i*NY+j+1];
|
|
c_ne = colorfield[(i+1)*NY+j+1];
|
|
|
|
c_mid = 0.25*(c_sw + c_se + c_nw + c_ne);
|
|
|
|
zw = (c_sw + c_nw + c_mid)/3.0;
|
|
ze = (c_se + c_ne + c_mid)/3.0;
|
|
zs = (c_sw + c_se + c_mid)/3.0;
|
|
zn = (c_nw + c_ne + c_mid)/3.0;
|
|
|
|
switch (cplot){
|
|
case (P_3D_ENERGY):
|
|
{
|
|
energy_color_scheme(palette, VSCALE_ENERGY*ze, rgb_e);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zw, rgb_w);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zn, rgb_n);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zs, rgb_s);
|
|
break;
|
|
}
|
|
case (P_3D_LOG_ENERGY):
|
|
{
|
|
log_energy_color_scheme(palette, ze, rgb_e);
|
|
log_energy_color_scheme(palette, zw, rgb_w);
|
|
log_energy_color_scheme(palette, zn, rgb_n);
|
|
log_energy_color_scheme(palette, zs, rgb_s);
|
|
break;
|
|
}
|
|
case (P_3D_PHASE):
|
|
{
|
|
phase_color_scheme(palette, ze, rgb_e);
|
|
phase_color_scheme(palette, zw, rgb_w);
|
|
phase_color_scheme(palette, zn, rgb_n);
|
|
phase_color_scheme(palette, zs, rgb_s);
|
|
break;
|
|
}
|
|
default:
|
|
{
|
|
// hsl_to_rgb_palette(VSCALE_AMPLITUDE*ze, 0.9, 0.5, rgb_e, palette);
|
|
// hsl_to_rgb_palette(VSCALE_AMPLITUDE*zw, 0.9, 0.5, rgb_w, palette);
|
|
// hsl_to_rgb_palette(VSCALE_AMPLITUDE*zn, 0.9, 0.5, rgb_n, palette);
|
|
// hsl_to_rgb_palette(VSCALE_AMPLITUDE*zs, 0.9, 0.5, rgb_s, palette);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*ze, 1.0, 0, rgb_e);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zw, 1.0, 0, rgb_w);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zn, 1.0, 0, rgb_n);
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zs, 1.0, 0, rgb_s);
|
|
}
|
|
}
|
|
}
|
|
|
|
void compute_interpolated_colors_rde_temp(int i, int j, double zfield[NX*NY], double colorfield[NX*NY], double palette, int cplot,
|
|
double *z_sw, double *z_se, double *z_nw, double *z_ne, double *z_mid,
|
|
double rgb_e[3], double rgb_w[3], double rgb_n[3], double rgb_s[3])
|
|
{
|
|
double zw, ze, zn, zs, c_sw, c_se, c_nw, c_ne, c_mid;
|
|
|
|
*z_sw = zfield[i*NY+j];
|
|
*z_se = zfield[(i+1)*NY+j];
|
|
*z_nw = zfield[i*NY+j+1];
|
|
*z_ne = zfield[(i+1)*NY+j+1];
|
|
|
|
*z_mid = 0.25*(*z_sw + *z_se + *z_nw + *z_ne);
|
|
|
|
c_sw = colorfield[i*NY+j];
|
|
c_se = colorfield[(i+1)*NY+j];
|
|
c_nw = colorfield[i*NY+j+1];
|
|
c_ne = colorfield[(i+1)*NY+j+1];
|
|
|
|
c_mid = 0.25*(c_sw + c_se + c_nw + c_ne);
|
|
|
|
zw = (c_sw + c_nw + c_mid)/3.0;
|
|
ze = (c_se + c_ne + c_mid)/3.0;
|
|
zs = (c_sw + c_se + c_mid)/3.0;
|
|
zn = (c_nw + c_ne + c_mid)/3.0;
|
|
|
|
switch (cplot){
|
|
case (P_3D_ENERGY):
|
|
{
|
|
energy_color_scheme(palette, VSCALE_ENERGY*ze, rgb_e);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zw, rgb_w);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zn, rgb_n);
|
|
energy_color_scheme(palette, VSCALE_ENERGY*zs, rgb_s);
|
|
break;
|
|
}
|
|
case (P_3D_LOG_ENERGY):
|
|
{
|
|
log_energy_color_scheme(palette, ze, rgb_e);
|
|
log_energy_color_scheme(palette, zw, rgb_w);
|
|
log_energy_color_scheme(palette, zn, rgb_n);
|
|
log_energy_color_scheme(palette, zs, rgb_s);
|
|
break;
|
|
}
|
|
case (P_3D_PHASE):
|
|
{
|
|
phase_color_scheme(palette, ze, rgb_e);
|
|
phase_color_scheme(palette, zw, rgb_w);
|
|
phase_color_scheme(palette, zn, rgb_n);
|
|
phase_color_scheme(palette, zs, rgb_s);
|
|
break;
|
|
}
|
|
default:
|
|
{
|
|
hsl_to_rgb_palette(VSCALE_AMPLITUDE*ze, 0.9, 0.5, rgb_e, palette);
|
|
hsl_to_rgb_palette(VSCALE_AMPLITUDE*zw, 0.9, 0.5, rgb_w, palette);
|
|
hsl_to_rgb_palette(VSCALE_AMPLITUDE*zn, 0.9, 0.5, rgb_n, palette);
|
|
hsl_to_rgb_palette(VSCALE_AMPLITUDE*zs, 0.9, 0.5, rgb_s, palette);
|
|
// color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*ze, 1.0, 0, rgb_e);
|
|
// color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zw, 1.0, 0, rgb_w);
|
|
// color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zn, 1.0, 0, rgb_n);
|
|
// color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*zs, 1.0, 0, rgb_s);
|
|
}
|
|
}
|
|
}
|
|
|
|
void draw_wave_3d(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int plot, int cplot, int palette, int fade, double fade_value)
|
|
{
|
|
int i, j, k, l, draw = 1;
|
|
double xy[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;
|
|
double *cos_angle, *energies, *phases;
|
|
|
|
blank();
|
|
draw_billiard_3d(fade, fade_value);
|
|
cos_angle = (double *)malloc(NX*NY*sizeof(double));
|
|
energies = (double *)malloc(NX*NY*sizeof(double));
|
|
phases = (double *)malloc(NX*NY*sizeof(double));
|
|
|
|
|
|
if ((plot == P_3D_ENERGY)||(plot == P_3D_LOG_ENERGY))
|
|
// if (plot == P_3D_ENERGY)
|
|
{
|
|
compute_energy_field(phi, psi, xy_in, energies);
|
|
compute_light_angle(energies, xy_in, cos_angle);
|
|
}
|
|
// else if (plot == P_3D_LOG_ENERGY)
|
|
// {
|
|
// compute_log_energy_field(phi, psi, xy_in, energies);
|
|
// compute_light_angle(energies, xy_in, cos_angle);
|
|
// }
|
|
else if (plot != P_3D_AMPLITUDE) compute_light_angle(phi, xy_in, cos_angle);
|
|
|
|
if (cplot == P_3D_PHASE)
|
|
{
|
|
compute_phase_field(phi, psi, xy_in, phases);
|
|
// compute_energy_field(phi, psi, xy_in, energies);
|
|
}
|
|
|
|
// if ((plot == P_3D_ANGLE)||(plot == P_3D_AMP_ANGLE)) compute_light_angle(phi, xy_in, cos_angle);
|
|
|
|
// for (i=0; i<NX-2; i++)
|
|
// for (j=0; j<NY-2; j++)
|
|
for (i=1; i<NX-2; i++)
|
|
for (j=1; j<NY-2; j++)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i*NY+j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_3D_AMPLITUDE):
|
|
{
|
|
if (AMPLITUDE_HIGH_RES)
|
|
{
|
|
compute_interpolated_colors(i, j, phi, palette, plot,
|
|
&z_sw, &z_se, &z_nw, &z_ne, &z_mid, rgb_e, rgb_w, rgb_n, rgb_s);
|
|
}
|
|
else color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*phi[i*NY+j], 1.0, 0, rgb);
|
|
break;
|
|
}
|
|
case (P_3D_ANGLE):
|
|
{
|
|
ca = cos_angle[i*NY+j];
|
|
if (ca < 0.0) ca = 0.0;
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, ca, 1.0, 0, rgb);
|
|
break;
|
|
}
|
|
case (P_3D_AMP_ANGLE):
|
|
{
|
|
ca = cos_angle[i*NY+j];
|
|
ca = (ca + 1.0)*0.4 + 0.2;
|
|
if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca *= 1.6;
|
|
if (AMPLITUDE_HIGH_RES)
|
|
{
|
|
compute_interpolated_colors_new(i, j, phi, phi, palette, cplot,
|
|
&z_sw, &z_se, &z_nw, &z_ne, &z_mid, rgb_e, rgb_w, rgb_n, rgb_s);
|
|
for (k=0; k<3; k++) rgb_e[k] *= ca;
|
|
for (k=0; k<3; k++) rgb_w[k] *= ca;
|
|
for (k=0; k<3; k++) rgb_n[k] *= ca;
|
|
for (k=0; k<3; k++) rgb_s[k] *= ca;
|
|
}
|
|
else
|
|
{
|
|
color_scheme_palette(COLOR_SCHEME, palette, VSCALE_AMPLITUDE*phi[i*NY+j], 1.0, 0, rgb);
|
|
for (k=0; k<3; k++) rgb[k] *= ca;
|
|
}
|
|
break;
|
|
}
|
|
case (P_3D_ENERGY):
|
|
{
|
|
ca = cos_angle[i*NY+j];
|
|
ca = (ca + 1.0)*0.4 + 0.19;
|
|
if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca *= 1.6;
|
|
|
|
if (AMPLITUDE_HIGH_RES)
|
|
{
|
|
compute_interpolated_colors(i, j, energies, palette, plot,
|
|
&z_sw, &z_se, &z_nw, &z_ne, &z_mid, rgb_e, rgb_w, rgb_n, rgb_s);
|
|
for (k=0; k<3; k++)
|
|
{
|
|
rgb_e[k] *= ca;
|
|
rgb_w[k] *= ca;
|
|
rgb_n[k] *= ca;
|
|
rgb_s[k] *= ca;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
energy_color_scheme(palette, energies[i*NY+j], rgb);
|
|
for (k=0; k<3; k++) rgb[k] *= ca;
|
|
}
|
|
break;
|
|
}
|
|
case (P_3D_LOG_ENERGY):
|
|
{
|
|
ca = cos_angle[i*NY+j];
|
|
ca = (ca + 1.0)*0.4 + 0.19;
|
|
if ((FADE_IN_OBSTACLE)&&(!xy_in[i*NY+j])) ca *= 1.6;
|
|
|
|
if (AMPLITUDE_HIGH_RES)
|
|
{
|
|
compute_interpolated_colors(i, j, energies, palette, plot,
|
|
&z_sw, &z_se, &z_nw, &z_ne, &z_mid, rgb_e, rgb_w, rgb_n, rgb_s);
|
|
for (k=0; k<3; k++)
|
|
{
|
|
rgb_e[k] *= ca;
|
|
rgb_w[k] *= ca;
|
|
rgb_n[k] *= ca;
|
|
rgb_s[k] *= ca;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
log_energy_color_scheme(palette, energies[i*NY+j], rgb);
|
|
for (k=0; k<3; k++) rgb[k] *= ca;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (fade)
|
|
{
|
|
for (k=0; k<3; k++)
|
|
{
|
|
rgb[k] *= fade_value;
|
|
rgb_n[k] *= fade_value;
|
|
rgb_s[k] *= fade_value;
|
|
rgb_e[k] *= fade_value;
|
|
rgb_w[k] *= fade_value;
|
|
}
|
|
|
|
}
|
|
|
|
if ((plot == P_3D_ENERGY)||(plot == P_3D_LOG_ENERGY))
|
|
{
|
|
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]);
|
|
}
|
|
|
|
if ((plot != P_3D_AMPLITUDE)&&(AMPLITUDE_HIGH_RES)&&(draw))
|
|
{
|
|
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);
|
|
|
|
for (k=0; k<2; k++) xy_mid[k] = 0.25*(xy_sw[k] + xy_se[k] + xy_nw[k] + xy_ne[k]);
|
|
|
|
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, z_nw);
|
|
draw_vertex_xyz(xy_sw, z_sw);
|
|
|
|
glColor3f(rgb_s[0], rgb_s[1], rgb_s[2]);
|
|
draw_vertex_xyz(xy_se, z_se);
|
|
|
|
glColor3f(rgb_e[0], rgb_e[1], rgb_e[2]);
|
|
draw_vertex_xyz(xy_ne, z_ne);
|
|
|
|
glColor3f(rgb_n[0], rgb_n[1], rgb_n[2]);
|
|
draw_vertex_xyz(xy_nw, z_nw);
|
|
glEnd ();
|
|
}
|
|
else
|
|
{
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glBegin(GL_TRIANGLE_FAN);
|
|
ij_to_xy(i, j, xy);
|
|
draw_vertex_xyz(xy, phi[i*NY+j]);
|
|
ij_to_xy(i+1, j, xy);
|
|
draw_vertex_xyz(xy, phi[(i+1)*NY+j]);
|
|
ij_to_xy(i+1, j+1, xy);
|
|
draw_vertex_xyz(xy, phi[(i+1)*NY+j+1]);
|
|
ij_to_xy(i, j+1, xy);
|
|
draw_vertex_xyz(xy, phi[i*NY+j+1]);
|
|
glEnd ();
|
|
}
|
|
}
|
|
else if (DRAW_OUTSIDE_GRAY) /* experimental */
|
|
{
|
|
printf("Drawing outside at (%i,%i)\n", i, 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 ();
|
|
}
|
|
}
|
|
|
|
free(cos_angle);
|
|
free(energies);
|
|
free(phases);
|
|
}
|
|
|
|
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;
|
|
|
|
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_SHIFT + LOG_SCALE*dy_e*(double)(j - jmin)*100.0/E_SCALE;
|
|
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 (Z_MODULE):
|
|
{
|
|
value = min + 1.0*dy*(double)(j - jmin);
|
|
color_scheme_palette(COLOR_SCHEME, palette, 0.7*value, 1.0, 0, rgb);
|
|
break;
|
|
}
|
|
case (Z_ARGUMENT):
|
|
{
|
|
value = dy_phase*(double)(j - jmin);
|
|
// hsl_to_rgb_palette(value, 0.9, 0.5, rgb, palette);
|
|
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
|
|
break;
|
|
}
|
|
case (Z_REALPART):
|
|
{
|
|
value = min + 1.0*dy*(double)(j - jmin);
|
|
color_scheme_palette(COLOR_SCHEME, 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;
|
|
}
|
|
default:
|
|
{
|
|
value = min + 1.0*dy*(double)(j - jmin);
|
|
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);
|
|
}
|
|
|