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@@ -16,6 +16,22 @@ void init_xyin(short int * xy_in[NX])
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}
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}
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void init_xyin_xrange(short int * xy_in[NX], int imin, int imax)
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/* initialise table xy_in, needed when obstacles are killed */
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// short int * xy_in[NX];
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//
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{
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int i, j;
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double xy[2];
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for (i=imin; i<imax; i++)
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for (j=0; j<NY; j++)
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{
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ij_to_xy(i, j, xy);
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xy_in[i][j] = xy_in_billiard(xy[0],xy[1]);
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}
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}
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void init_wave(double x, double y, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise field with drop at (x,y) - phi is wave height, psi is phi at time t-1 */
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@@ -30,12 +46,53 @@ void init_wave(double x, double y, double *phi[NX], double *psi[NX], short int *
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dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
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xy_in[i][j] = xy_in_billiard(xy[0],xy[1]);
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if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.2*exp(-dist2/0.001)*cos(-sqrt(dist2)/0.01);
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if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.2*exp(-dist2/0.005)*cos(-sqrt(dist2)/0.1);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.2*exp(-dist2/0.001)*cos(-sqrt(dist2)/0.01);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.2*exp(-dist2/0.00025)*cos(-sqrt(dist2)/0.005);
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else phi[i][j] = 0.0;
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psi[i][j] = 0.0;
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}
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}
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void init_circular_wave(double x, double y, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise field with drop at (x,y) - phi is wave height, psi is phi at time t-1 */
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{
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int i, j;
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double xy[2], dist2;
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for (i=0; i<NX; i++)
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for (j=0; j<NY; j++)
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{
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ij_to_xy(i, j, xy);
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dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
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xy_in[i][j] = xy_in_billiard(xy[0],xy[1]);
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if ((xy_in[i][j])||(TWOSPEEDS))
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phi[i][j] = INITIAL_AMP*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
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else phi[i][j] = 0.0;
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psi[i][j] = 0.0;
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}
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}
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void init_wave_plus(double x, double y, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise field with drop at (x,y) for y > 0 - phi is wave height, psi is phi at time t-1 */
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{
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int i, j;
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double xy[2], dist2;
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for (i=0; i<NX; i++)
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for (j=0; j<NY; j++)
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{
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ij_to_xy(i, j, xy);
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dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
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xy_in[i][j] = xy_in_billiard(xy[0],xy[1]);
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if ((xy[1] > 0.0)&&((xy_in[i][j])||(TWOSPEEDS)))
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phi[i][j] = INITIAL_AMP*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
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else phi[i][j] = 0.0;
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psi[i][j] = 0.0;
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}
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}
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void init_planar_wave(double x, double y, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise field with drop at (x,y) - phi is wave height, psi is phi at time t-1 */
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@@ -81,7 +138,7 @@ void init_wave_flat( double *phi[NX], double *psi[NX], short int * xy_in[NX])
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void add_drop_to_wave(double factor, double x, double y, double *phi[NX], double *psi[NX])
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/* add drop at (x,y) to the field with given prefactor */
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/* OLD VERSION - add drop at (x,y) to the field with given prefactor */
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{
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int i, j;
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double xy[2], dist2;
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@@ -95,6 +152,22 @@ void add_drop_to_wave(double factor, double x, double y, double *phi[NX], double
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}
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}
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void add_circular_wave(double factor, double x, double y, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* add drop at (x,y) to the field with given prefactor */
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{
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int i, j;
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double xy[2], dist2;
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for (i=0; i<NX; i++)
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for (j=0; j<NY; j++)
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{
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ij_to_xy(i, j, xy);
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dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
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if ((xy_in[i][j])||(TWOSPEEDS))
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phi[i][j] += INITIAL_AMP*factor*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
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}
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}
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void oscillate_linear_wave(double amplitude, double t, double x1, double y1, double x2, double y2, double *phi[NX],
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double *psi[NX])
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@@ -123,6 +196,26 @@ void oscillate_linear_wave(double amplitude, double t, double x1, double y1, dou
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}
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}
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void compute_gradient(double *phi[NX], double *psi[NX], double x, double y, double gradient[2])
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{
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double velocity;
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int iplus, iminus, jplus, jminus, ij[2], i, j;
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xy_to_ij(x, y, ij);
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i = ij[0];
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j = ij[1];
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iplus = (i+1); if (iplus == NX) iplus = NX-1;
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iminus = (i-1); if (iminus == -1) iminus = 0;
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jplus = (j+1); if (jplus == NY) jplus = NY-1;
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jminus = (j-1); if (jminus == -1) jminus = 0;
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gradient[0] = (phi[iplus][j]-phi[i][j])*(phi[iplus][j]-phi[i][j])
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+ (phi[i][j] - phi[iminus][j])*(phi[i][j] - phi[iminus][j]);
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gradient[1] = (phi[i][jplus]-phi[i][j])*(phi[i][jplus]-phi[i][j])
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+ (phi[i][j] - phi[i][jminus])*(phi[i][j] - phi[i][jminus]);
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}
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double compute_energy(double *phi[NX], double *psi[NX], short int *xy_in[NX], int i, int j)
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{
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@@ -196,7 +289,11 @@ void draw_wave(double *phi[NX], double *psi[NX], short int *xy_in[NX], double sc
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if ((TWOSPEEDS)||(xy_in[i][j]))
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{
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if (plot == P_AMPLITUDE)
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color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
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{
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/* make wave luminosity larger inside obstacles */
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if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, phi[i][j], scale, time, 0.7, rgb);
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else color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
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}
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else if (plot == P_ENERGY)
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color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
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else if (plot == P_MIXED)
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@@ -216,6 +313,65 @@ void draw_wave(double *phi[NX], double *psi[NX], short int *xy_in[NX], double sc
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glEnd ();
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}
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void draw_wave_e(double *phi[NX], double *psi[NX], double *total_energy[NX], short int *xy_in[NX], double scale, int time, int plot)
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/* draw the field, new version with total energy option */
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{
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int i, j, iplus, iminus, jplus, jminus;
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double rgb[3], xy[2], x1, y1, x2, y2, velocity, energy, gradientx2, gradienty2;
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static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
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glBegin(GL_QUADS);
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// printf("dtinverse = %.5lg\n", dtinverse);
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for (i=0; i<NX; i++)
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for (j=0; j<NY; j++)
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{
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if ((TWOSPEEDS)||(xy_in[i][j]))
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{
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switch (plot) {
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case (P_AMPLITUDE):
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{
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/* make wave luminosity larger inside obstacles */
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if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, phi[i][j], scale, time, 0.7, rgb);
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else color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
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break;
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}
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case (P_ENERGY):
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{
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color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
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break;
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}
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case (P_MIXED):
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{
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if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
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else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
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break;
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}
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case (P_MEAN_ENERGY):
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{
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energy = compute_energy(phi, psi, xy_in, i, j);
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total_energy[i][j] += energy;
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color_scheme(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
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break;
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}
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}
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glColor3f(rgb[0], rgb[1], rgb[2]);
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glVertex2i(i, j);
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glVertex2i(i+1, j);
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glVertex2i(i+1, j+1);
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glVertex2i(i, j+1);
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}
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}
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glEnd ();
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}
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