1980 lines
72 KiB
C
1980 lines
72 KiB
C
/* functions common to wave_billiard.c, wave_comparison.c, mangrove.c */
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void init_xyin(short int * xy_in[NX])
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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=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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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_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_xy_tcc_in_xrange(short int * xy_in[NX], double *tcc_table[NX], double *tgamma_table[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 (i=NX/2; 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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xy_in[i][j] = xy_in_billiard(xy[0],xy[1]);
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// xy_in[i][j] = 1;
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if (xy_in[i][j] == 0)
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{
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tcc_table[i][j] = COURANT*COURANT;
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tgamma_table[i][j] = GAMMA;
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}
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else if (xy_in[i][j] == 2)
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{
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tcc_table[i][j] = 0.0;
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tgamma_table[i][j] = 1.0;
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}
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else
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{
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tcc_table[i][j] = COURANTB*COURANTB;
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tgamma_table[i][j] = GAMMAB;
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}
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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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{
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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)) 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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printf("Initializing wave\n");
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for (i=0; i<NX; i++)
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{
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if (i%100 == 0) printf("Initializing column %i of %i\n", i, NX);
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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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}
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void damp_circular_wave(double factor, int range, double x, double y, double *phi[NX], double *psi[NX])
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/* damp field around (x,y) - phi is wave height, psi is phi at time t-1 */
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{
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int i, j, ij[2], imin, imax, jmin, jmax;
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double r2, v;
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// printf("Damping wave\n");
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xy_to_ij(x, y, ij);
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imin = ij[0] - range;
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if (imin < 0) imin = 0;
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imax = ij[0] + range;
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if (imax > NX-1) imax = NX-1;
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jmin = ij[1] - range;
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if (jmin < 0) jmin = 0;
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jmax = ij[1] + range;
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if (jmax > NY-1) jmax = NY-1;
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v = (double)(range*range);
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for (i=imin; i<imax; i++)
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{
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for (j=jmin; j<jmax; j++)
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{
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r2 = (double)((i - ij[0])*(i - ij[0]) + (j - ij[1])*(j - ij[1]));
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factor *= 1.0 - exp(-0.5*r2/v);
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phi[i][j] *= factor;
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psi[i][j] *= factor;
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}
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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_circular_wave_xplusminus(double xleft, double yleft, double xright, double yright,
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double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise field with two drops, x > 0 and x < 0 do not communicate - 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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if (xy[0] < 0.0) dist2 = (xy[0]-xleft)*(xy[0]-xleft) + (xy[1]-yleft)*(xy[1]-yleft);
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else dist2 = (xy[0]-xright)*(xy[0]-xright) + (xy[1]-yright)*(xy[1]-yright);
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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_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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/* beta version, works for vertical planar wave only so far */
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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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{
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// if (i%100 == 0) printf("Initializing column %i\n", 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);
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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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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.0005)*cos(-sqrt(dist2)/0.01);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.0005)*cos(-sqrt(dist2)/0.02);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.005)*cos(-sqrt(dist2)/0.02);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.01)*cos(-sqrt(dist2)/0.02);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.0005)*cos(-sqrt(dist2)/0.01);
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// if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.05)*cos(-sqrt(dist2)/0.025);
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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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}
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void init_planar_travelling_wave(double x, double y, double vx, 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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/* beta version, works for vertical planar wave only so far */
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{
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int i, j, ij[2], jmin, jmax;
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double xy[2], dist2, dist2_shifted, xshift, y1;
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xy_to_ij(x, y, ij);
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jmax = ij[1];
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jmin = NY - jmax;
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xshift = vx*COURANT/(double)NX;
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for (i=0; i<NX; i++)
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{
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for (j=0; j<NY; j++)
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// for (j=jmin; j<jmax; 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);
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dist2_shifted = (xy[0]-x-xshift)*(xy[0]-x-xshift);
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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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{
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phi[i][j] = INITIAL_AMP*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
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psi[i][j] = INITIAL_AMP*exp(-dist2_shifted/INITIAL_VARIANCE)*cos(-sqrt(dist2_shifted)/INITIAL_WAVELENGTH);
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}
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else
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{
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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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for (j=0; j<jmin; j++)
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{
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dist2 = (double)(jmin-1-j)*(YMAX-YMIN)/(double)NY;
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dist2 = 500.0*dist2*dist2;
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phi[i][j] *= exp(-dist2/INITIAL_VARIANCE);
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psi[i][j] *= exp(-dist2/INITIAL_VARIANCE);
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}
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for (j=jmax; j<NY; j++)
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{
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phi[i][j] = phi[i][NY-1-j];
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psi[i][j] = psi[i][NY-1-j];
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}
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}
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}
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void add_planar_travelling_wave(double x, double y, double vx, double wavelength_factor, 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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/* beta version, works for vertical planar wave only so far */
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{
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int i, j;
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double xy[2], dist2, dist2_shifted, xshift, wavelength;
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xshift = vx*COURANT/(double)NX;
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wavelength = INITIAL_WAVELENGTH*wavelength_factor;
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for (i=0; i<NX; i++)
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{
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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);
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dist2_shifted = (xy[0]-x-xshift)*(xy[0]-x-xshift);
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if ((xy_in[i][j])||(TWOSPEEDS))
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{
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phi[i][j] += INITIAL_AMP*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/wavelength);
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psi[i][j] += INITIAL_AMP*exp(-dist2_shifted/INITIAL_VARIANCE)*cos(-sqrt(dist2_shifted)/wavelength);
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}
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else
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{
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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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}
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}
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void init_wave_flat( double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* initialise flat field - 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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if (i%100 == 0) printf("Wave and table xy_in - Initialising column %i of %i\n", i, NX);
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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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// if ((i%10 == 0)&&(j == NY/2)) printf ("xy_in[%i][%i] = %i\n", i, j, xy_in[i][j]);
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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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}
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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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/* 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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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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phi[i][j] += 0.2*factor*exp(-dist2/0.001)*cos(-sqrt(dist2)/0.01);
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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 add_vertical_wave(double factor, double x, double y1, double y2, double *phi[NX], double *psi[NX], short int * xy_in[NX])
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/* add wave around vertical segment (x,y1)-(x,y2) 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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if (xy[1] < y1) dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y1)*(xy[1]-y1);
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else if (xy[1] > y2) dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y2)*(xy[1]-y2);
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else dist2 = (xy[0]-x)*(xy[0]-x);
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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 damp_vertical_wave(double factor, int range, double x, double y1, double y2, double *phi[NX], double *psi[NX])
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/* damp field around (x,y) - phi is wave height, psi is phi at time t-1 */
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{
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int i, j, ij1[2], ij2[2], imin, imax, jmin, jmax;
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double r2, v;
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xy_to_ij(x, y1, ij1);
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xy_to_ij(x, y2, ij2);
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imin = ij1[0] - range;
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if (imin < 0) imin = 0;
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imax = ij2[0] + range;
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if (imax > NX-1) imax = NX-1;
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jmin = ij1[1] - range;
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if (jmin < 0) jmin = 0;
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jmax = ij2[1] + range;
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if (jmax > NY-1) jmax = NY-1;
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v = (double)(range*range);
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for (i=imin; i<imax; i++)
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{
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for (j=jmin; j<jmax; j++)
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{
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if (j < ij1[1]) r2 = (double)((i - ij1[0])*(i - ij1[0]) + (j - ij1[1])*(j - ij1[1]));
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else if (j > ij2[1]) r2 = (double)((i - ij2[0])*(i - ij2[0]) + (j - ij2[1])*(j - ij2[1]));
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else r2 = (double)((i - ij1[0])*(i - ij1[0]));
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factor *= 1.0 - exp(-0.5*r2/v);
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phi[i][j] *= factor;
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psi[i][j] *= factor;
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}
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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],
|
|
double *psi[NX])
|
|
/* oscillating boundary condition at (x,y), beta version */
|
|
{
|
|
int i, j, ij1[2], ij2[2], imin, imax, jmin, jmax, d = 5;
|
|
double xy[2], dist2;
|
|
|
|
xy_to_ij(x1, y1, ij1);
|
|
xy_to_ij(x2, y2, ij2);
|
|
imin = ij1[0] - d; if (imin < 0) imin = 0;
|
|
imax = ij2[0] + d; if (imax >= NX) imax = NX-1;
|
|
jmin = ij1[1] - d; if (jmin < 0) jmin = 0;
|
|
jmax = ij2[1] + d; if (jmax >= NY) jmax = NY-1;
|
|
|
|
for (i = imin; i < imax; i++)
|
|
for (j = jmin; j < jmax; j++)
|
|
{
|
|
ij_to_xy(i, j, xy);
|
|
dist2 = (xy[0]-x1)*(xy[0]-x1); /* to be improved */
|
|
// dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
|
|
// if (dist2 < 0.01)
|
|
if (dist2 < 0.001)
|
|
phi[i][j] = amplitude*exp(-dist2/0.001)*cos(-sqrt(dist2)/0.01)*cos(t*OMEGA);
|
|
// phi[i][j] += 0.2*exp(-dist2/0.001)*cos(-sqrt(dist2)/0.01)*cos(t*OMEGA);
|
|
}
|
|
}
|
|
|
|
void compute_gradient(double *phi[NX], double *psi[NX], double x, double y, double gradient[2])
|
|
{
|
|
double velocity;
|
|
int iplus, iminus, jplus, jminus, ij[2], i, j;
|
|
|
|
xy_to_ij(x, y, ij);
|
|
i = ij[0];
|
|
j = ij[1];
|
|
|
|
iplus = (i+1); if (iplus == NX) iplus = NX-1;
|
|
iminus = (i-1); if (iminus == -1) iminus = 0;
|
|
jplus = (j+1); if (jplus == NY) jplus = NY-1;
|
|
jminus = (j-1); if (jminus == -1) jminus = 0;
|
|
|
|
gradient[0] = (phi[iplus][j]-phi[i][j])*(phi[iplus][j]-phi[i][j])
|
|
+ (phi[i][j] - phi[iminus][j])*(phi[i][j] - phi[iminus][j]);
|
|
gradient[1] = (phi[i][jplus]-phi[i][j])*(phi[i][jplus]-phi[i][j])
|
|
+ (phi[i][j] - phi[i][jminus])*(phi[i][j] - phi[i][jminus]);
|
|
}
|
|
|
|
|
|
double compute_energy(double *phi[NX], double *psi[NX], short int *xy_in[NX], int i, int j)
|
|
{
|
|
double velocity, energy, gradientx2, gradienty2;
|
|
int iplus, iminus, jplus, jminus;
|
|
|
|
velocity = (phi[i][j] - psi[i][j]);
|
|
|
|
iplus = (i+1); if (iplus == NX) iplus = NX-1;
|
|
iminus = (i-1); if (iminus == -1) iminus = 0;
|
|
jplus = (j+1); if (jplus == NY) jplus = NY-1;
|
|
jminus = (j-1); if (jminus == -1) jminus = 0;
|
|
|
|
gradientx2 = (phi[iplus][j]-phi[i][j])*(phi[iplus][j]-phi[i][j])
|
|
+ (phi[i][j] - phi[iminus][j])*(phi[i][j] - phi[iminus][j]);
|
|
gradienty2 = (phi[i][jplus]-phi[i][j])*(phi[i][jplus]-phi[i][j])
|
|
+ (phi[i][j] - phi[i][jminus])*(phi[i][j] - phi[i][jminus]);
|
|
if (xy_in[i][j]) return(E_SCALE*E_SCALE*(velocity*velocity + 0.5*COURANT*COURANT*(gradientx2+gradienty2)));
|
|
else if (TWOSPEEDS) return(E_SCALE*E_SCALE*(velocity*velocity + 0.5*COURANTB*COURANTB*(gradientx2+gradienty2)));
|
|
else return(0.0);
|
|
}
|
|
|
|
|
|
void compute_energy_flux(double *phi[NX], double *psi[NX], short int *xy_in[NX], int i, int j, double *gx, double *gy, double *arg, double *module)
|
|
/* computes energy flux given by c^2 norm(nabla u) du/dt*/
|
|
{
|
|
double velocity, energy, gradientx, gradienty;
|
|
int iplus, iminus, jplus, jminus;
|
|
|
|
velocity = vabs(phi[i][j] - psi[i][j]);
|
|
|
|
iplus = (i+1); if (iplus == NX) iplus = NX-1;
|
|
iminus = (i-1); if (iminus == -1) iminus = 0;
|
|
jplus = (j+1); if (jplus == NY) jplus = NY-1;
|
|
jminus = (j-1); if (jminus == -1) jminus = 0;
|
|
|
|
gradientx = (phi[iplus][j] - phi[iminus][j]);
|
|
gradienty = (phi[i][jplus] - phi[i][jminus]);
|
|
*arg = argument(gradientx,gradienty);
|
|
if (*arg < 0.0) *arg += DPI;
|
|
if (*arg > DPI) *arg -= DPI;
|
|
|
|
if ((xy_in[i][j])||(TWOSPEEDS))
|
|
{
|
|
*module = velocity*module2(gradientx, gradienty);
|
|
*gx = velocity*gradientx;
|
|
*gy = velocity*gradienty;
|
|
}
|
|
else
|
|
{
|
|
*module = 0.0;
|
|
*gx = 0.0;
|
|
*gy = 0.0;
|
|
}
|
|
|
|
// if (xy_in[i][j]) return(E_SCALE*E_SCALE*(velocity*COURANT*module2(gradientx,gradienty)));
|
|
// else if (TWOSPEEDS) return(E_SCALE*E_SCALE*(velocity*COURANTB*module2(gradientx,gradienty)));
|
|
|
|
}
|
|
|
|
|
|
|
|
double compute_variance(double *phi[NX], double *psi[NX], short int *xy_in[NX])
|
|
/* compute the variance of the field, to adjust color scheme */
|
|
{
|
|
int i, j, n = 0;
|
|
double variance = 0.0;
|
|
|
|
for (i=1; i<NX; i++)
|
|
for (j=1; j<NY; j++)
|
|
{
|
|
if (xy_in[i][j])
|
|
{
|
|
n++;
|
|
variance += phi[i][j]*phi[i][j];
|
|
}
|
|
}
|
|
if (n==0) n=1;
|
|
return(variance/(double)n);
|
|
}
|
|
|
|
|
|
double compute_dissipation(double *phi[NX], double *psi[NX], short int *xy_in[NX], double x, double y)
|
|
{
|
|
double velocity;
|
|
int ij[2];
|
|
|
|
xy_to_ij(x, y, ij);
|
|
|
|
velocity = (phi[ij[0]][ij[1]] - psi[ij[0]][ij[1]]);
|
|
|
|
return(velocity*velocity);
|
|
}
|
|
|
|
|
|
void draw_wave(double *phi[NX], double *psi[NX], short int *xy_in[NX], double scale, int time, int plot)
|
|
/* draw the field */
|
|
{
|
|
int i, j, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, energy, gradientx2, gradienty2;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
if (plot == P_AMPLITUDE)
|
|
{
|
|
/* make wave luminosity larger inside obstacles */
|
|
if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, phi[i][j], scale, time, 0.7, rgb);
|
|
else color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
}
|
|
else if (plot == P_ENERGY)
|
|
color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
else if (plot == P_MIXED)
|
|
{
|
|
if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
}
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+1, j);
|
|
glVertex2i(i+1, j+1);
|
|
glVertex2i(i, j+1);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
void draw_wave_e(double *phi[NX], double *psi[NX], double *total_energy[NX], double *color_scale[NX], short int *xy_in[NX], double scale, int time, int plot)
|
|
/* draw the field, new version with total energy option */
|
|
{
|
|
int i, j, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, field_value, energy, gradientx2, gradienty2, r2;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
/* make wave luminosity larger inside obstacles */
|
|
field_value = phi[i][j];
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
field_value *= color_scale[i][j];
|
|
}
|
|
// if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, field_value, scale, time, 0.7, rgb);
|
|
// else
|
|
color_scheme(COLOR_SCHEME, field_value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
energy *= color_scale[i][j];
|
|
}
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym(COLOR_SCHEME, energy, scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(energy), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
energy = LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1));
|
|
color_scheme(COLOR_SCHEME, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
}
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+1, j);
|
|
glVertex2i(i+1, j+1);
|
|
glVertex2i(i, j+1);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
|
|
void draw_wave_highres(int size, double *phi[NX], double *psi[NX], double *total_energy[NX], short int *xy_in[NX], double scale, int time, int plot)
|
|
/* draw the field, new version with total energy option */
|
|
{
|
|
int i, j, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, energy, gradientx2, gradienty2;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i+=size)
|
|
for (j=0; j<NY; j+=size)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
// /* make wave luminosity larger inside obstacles */
|
|
// if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, phi[i][j], scale, time, 0.7, rgb);
|
|
// else
|
|
color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym(COLOR_SCHEME, energy, scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
// energy = LOG_SHIFT + LOG_SCALE*log(energy);
|
|
// if (energy < 0.0) energy = 0.0;
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(energy), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1)), scale, time, rgb);
|
|
break;
|
|
}
|
|
|
|
}
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+size, j);
|
|
glVertex2i(i+size, j+size);
|
|
glVertex2i(i, j+size);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
|
|
|
|
void draw_wave_ediss(double *phi[NX], double *psi[NX], double *total_energy[NX], double *color_scale[NX], short int *xy_in[NX],
|
|
double *gamma[NX], double gammamax, double scale, int time, int plot)
|
|
/* draw the field with luminosity depending on damping */
|
|
{
|
|
int i, j, k, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, field_value, energy, gradientx2, gradienty2, r2;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
/* make wave luminosity larger inside obstacles */
|
|
field_value = phi[i][j];
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
field_value *= color_scale[i][j];
|
|
}
|
|
if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, field_value, scale, time, 0.7, rgb);
|
|
else color_scheme(COLOR_SCHEME, field_value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
energy *= color_scale[i][j];
|
|
}
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym(COLOR_SCHEME, energy, scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(energy), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1)), scale, time, rgb);
|
|
break;
|
|
}
|
|
}
|
|
for (k=0; k<3; k++) rgb[k]*= 1.0 - gamma[i][j]/gammamax;
|
|
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+1, j);
|
|
glVertex2i(i+1, j+1);
|
|
glVertex2i(i, j+1);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
|
|
void draw_wave_highres_diss(int size, double *phi[NX], double *psi[NX], double *total_energy[NX], short int *xy_in[NX],
|
|
double *gamma[NX], double gammamax, double scale, int time, int plot)
|
|
/* draw the field, new version with total energy option */
|
|
{
|
|
int i, j, k, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, energy, gradientx2, gradienty2;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i+=size)
|
|
for (j=0; j<NY; j+=size)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
/* make wave luminosity larger inside obstacles */
|
|
if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, phi[i][j], scale, time, 0.7, rgb);
|
|
else color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym(COLOR_SCHEME, energy, scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) color_scheme(COLOR_SCHEME, phi[i][j], scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
else color_scheme(COLOR_SCHEME, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
// energy = LOG_SHIFT + LOG_SCALE*log(energy);
|
|
// if (energy < 0.0) energy = 0.0;
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(energy), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
color_scheme(COLOR_SCHEME, LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1)), scale, time, rgb);
|
|
break;
|
|
}
|
|
|
|
}
|
|
for (k=0; k<3; k++) rgb[k]*= 1.0 - gamma[i][j]/gammamax;
|
|
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+size, j);
|
|
glVertex2i(i+size, j+size);
|
|
glVertex2i(i, j+size);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
|
|
void draw_wave_epalette(double *phi[NX], double *psi[NX], double *total_energy[NX], double *average_energy[NX], double *total_flux, double *color_scale[NX], short int *xy_in[NX], double scale, int time, int plot, int palette, int fade, double fade_value)
|
|
/* same as draw_wave_e, but with color scheme specification */
|
|
{
|
|
int i, j, k, iplus, iminus, jplus, jminus;
|
|
double rgb[3], xy[2], x1, y1, x2, y2, velocity, field_value, energy, gradientx2, gradienty2, r2, arg, mod, flux_factor, gx, gy, mgx, mgy, ffactor;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
/* make wave luminosity larger inside obstacles */
|
|
field_value = phi[i][j];
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
field_value *= color_scale[i][j];
|
|
}
|
|
// if (!(xy_in[i][j])) color_scheme_lum(COLOR_SCHEME, field_value, scale, time, 0.7, rgb);
|
|
// else
|
|
color_scheme_palette(COLOR_SCHEME, palette, field_value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (RESCALE_COLOR_IN_CENTER)
|
|
{
|
|
energy *= color_scale[i][j];
|
|
}
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, energy, scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) color_scheme_palette(COLOR_SCHEME, palette, phi[i][j], scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, compute_energy(phi, psi, xy_in, i, j), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, total_energy[i][j]/(double)(time+1), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
color_scheme_palette(COLOR_SCHEME, palette, LOG_SHIFT + LOG_SCALE*log(energy), scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
energy = LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1));
|
|
color_scheme_palette(COLOR_SCHEME, palette, energy, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY_FLUX):
|
|
{
|
|
compute_energy_flux(phi, psi, xy_in, i, j, &gx, &gy, &arg, &mod);
|
|
// color_scheme_palette(C_ONEDIM_LINEAR, palette, arg/DPI, 1.0, 1, rgb);
|
|
// flux_factor = tanh(mod*E_SCALE);
|
|
// for (k=0; k<3; k++) rgb[k] *= flux_factor;
|
|
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, mod*FLUX_SCALE, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_TOTAL_ENERGY_FLUX):
|
|
{
|
|
// ffactor = 1.0;
|
|
compute_energy_flux(phi, psi, xy_in, i, j, &gx, &gy, &arg, &mod);
|
|
total_flux[2*NX*NY + 2*j*NX + 2*i] += gx;
|
|
total_flux[2*NX*NY + 2*j*NX + 2*i + 1] += gy;
|
|
total_flux[2*j*NX + 2*i] += total_flux[2*NX*NY + 2*j*NX + 2*i];
|
|
total_flux[2*j*NX + 2*i + 1] += total_flux[2*NX*NY + 2*j*NX + 2*i + 1];
|
|
// total_flux[2*j*NX + 2*i] *= 1.0 + 1.0/(double)(time+1);
|
|
// total_flux[2*j*NX + 2*i + 1] *= 1.0 + 1.0/(double)(time+1);
|
|
// total_flux[2*j*NX + 2*i] *= ffactor;
|
|
// total_flux[2*j*NX + 2*i + 1] *= ffactor;
|
|
// total_flux[2*j*NX + 2*i] += gx;
|
|
// total_flux[2*j*NX + 2*i + 1] += gy;
|
|
// total_flux[2*j*NX + 2*i] *= 1.0/ffactor;
|
|
// total_flux[2*j*NX + 2*i + 1] *= 1.0/ffactor;
|
|
// total_flux[2*j*NX + 2*i] += 0.1*gx;
|
|
// total_flux[2*j*NX + 2*i + 1] += 0.1*gy;
|
|
mgx = total_flux[2*j*NX + 2*i];
|
|
mgy = total_flux[2*j*NX + 2*i + 1];
|
|
// mgx = total_flux[2*j*NX + 2*i]/sqrt((double)(time+1));
|
|
// mgy = total_flux[2*j*NX + 2*i + 1]/sqrt((double)(time+1));
|
|
// mgx = total_flux[2*j*NX + 2*i]/(1.0 + 0.1*log((double)(time+2)));
|
|
// mgy = total_flux[2*j*NX + 2*i + 1]/(1.0 + 0.1*log((double)(time+2)));
|
|
mod = module2(mgx, mgy);
|
|
arg = argument(mgx, mgy);
|
|
if (arg < 0.0) arg += DPI;
|
|
color_scheme_palette(C_ONEDIM_LINEAR, palette, arg/DPI, 1.0, 1, rgb);
|
|
flux_factor = tanh(mod*FLUX_SCALE);
|
|
for (k=0; k<3; k++) rgb[k] *= flux_factor;
|
|
|
|
// color_scheme_asym_palette(COLOR_SCHEME, palette, mod, scale, time, rgb);
|
|
break;
|
|
}
|
|
}
|
|
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+1, j);
|
|
glVertex2i(i+1, j+1);
|
|
glVertex2i(i, j+1);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
}
|
|
|
|
|
|
double wave_value(int i, int j, double *phi[NX], double *psi[NX], double *total_energy[NX], double *average_energy[NX], double *total_flux, short int *xy_in[NX], double scale, int time, int plot, int palette, double rgb[3])
|
|
/* compute value of wave and color */
|
|
{
|
|
int k;
|
|
double value, velocity, energy, gradientx2, gradienty2, arg, mod, flux_factor, gx, gy, mgx, mgy;
|
|
|
|
switch (plot) {
|
|
case (P_AMPLITUDE):
|
|
{
|
|
value = phi[i][j];
|
|
color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY):
|
|
{
|
|
value = compute_energy(phi, psi, xy_in, i, j);
|
|
/* adjust energy to color palette */
|
|
if (COLOR_PALETTE >= COL_TURBO) color_scheme_asym_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MIXED):
|
|
{
|
|
if (j > NY/2) value = phi[i][j];
|
|
else value = compute_energy(phi, psi, xy_in, i, j);
|
|
color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
total_energy[i][j] += energy;
|
|
value = total_energy[i][j]/(double)(time+1);
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy < 1.0e-20) energy = 1.0e-20;
|
|
value = LOG_SHIFT + LOG_SCALE*log(energy);
|
|
color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_MEAN_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
if (energy == 0.0) energy = 1.0e-20;
|
|
total_energy[i][j] += energy;
|
|
value = LOG_SHIFT + LOG_SCALE*log(total_energy[i][j]/(double)(time+1));
|
|
color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_ENERGY_FLUX):
|
|
{
|
|
compute_energy_flux(phi, psi, xy_in, i, j, &gx, &gy, &arg, &mod);
|
|
// color_scheme_palette(C_ONEDIM_LINEAR, palette, arg/DPI, 1.0, 1, rgb);
|
|
// flux_factor = tanh(mod*E_SCALE);
|
|
// for (k=0; k<3; k++) rgb[k] *= flux_factor;
|
|
value = mod*FLUX_SCALE;
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_TOTAL_ENERGY_FLUX):
|
|
{
|
|
compute_energy_flux(phi, psi, xy_in, i, j, &gx, &gy, &arg, &mod);
|
|
total_flux[2*j*NX + 2*i] *= 0.99;
|
|
total_flux[2*j*NX + 2*i + 1] *= 0.99;
|
|
total_flux[2*j*NX + 2*i] += gx;
|
|
total_flux[2*j*NX + 2*i + 1] += gy;
|
|
// mgx = total_flux[2*j*NX + 2*i]/(double)(time+1);
|
|
// mgy = total_flux[2*j*NX + 2*i + 1]/(double)(time+1);
|
|
mgx = total_flux[2*j*NX + 2*i];
|
|
mgy = total_flux[2*j*NX + 2*i + 1];
|
|
// mgx = total_flux[2*j*NX + 2*i]/log((double)(time+2));
|
|
// mgy = total_flux[2*j*NX + 2*i + 1]/log((double)(time+2));
|
|
mod = module2(mgx, mgy);
|
|
arg = argument(mgx, mgy);
|
|
if (arg < 0.0) arg += DPI;
|
|
value = arg/DPI;
|
|
color_scheme_palette(C_ONEDIM_LINEAR, palette, value, 1.0, 1, rgb);
|
|
flux_factor = tanh(mod*E_SCALE);
|
|
for (k=0; k<3; k++) rgb[k] *= flux_factor;
|
|
break;
|
|
}
|
|
case (P_AVERAGE_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
average_energy[i][j] = AVRG_E_FACTOR*average_energy[i][j] + (1.0 - AVRG_E_FACTOR)*energy;
|
|
value = average_energy[i][j];
|
|
if (COLOR_PALETTE >= COL_TURBO)
|
|
color_scheme_asym_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
else color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
case (P_LOG_AVERAGE_ENERGY):
|
|
{
|
|
energy = compute_energy(phi, psi, xy_in, i, j);
|
|
average_energy[i][j] = AVRG_E_FACTOR*average_energy[i][j] + (1.0 - AVRG_E_FACTOR)*energy;
|
|
if (average_energy[i][j] == 0.0) value = LOG_SHIFT - 10.0*LOG_SCALE;
|
|
else value = LOG_SHIFT + LOG_SCALE*log(average_energy[i][j]);
|
|
color_scheme_palette(COLOR_SCHEME, palette, value, scale, time, rgb);
|
|
break;
|
|
}
|
|
}
|
|
|
|
return(value);
|
|
}
|
|
|
|
|
|
void draw_wave_profile_horizontal(double *values, int size, int average, int pnb, int fade, double fade_value)
|
|
/* draw a horizontal profile of the wave, if option DRAW_WAVE_PROFILE is active */
|
|
{
|
|
int i, k, ij[2];
|
|
double deltav, a, b, y;
|
|
static int imin, imax, jmin, jmax, jmid, jval, d, first = 1;
|
|
static double vmin[2], vmax[2], deltaj, ymin, average_vals[NX];
|
|
|
|
if (first)
|
|
{
|
|
imin = 100;
|
|
imax = NX - 250;
|
|
if (PROFILE_AT_BOTTOM)
|
|
{
|
|
jmin = 50;
|
|
jmax = 150;
|
|
}
|
|
else
|
|
{
|
|
jmin = NY - 150;
|
|
jmax = NY - 50;
|
|
}
|
|
jmid = (jmin + jmax)/2;
|
|
jmid -= (jmid%size);
|
|
xy_to_ij(0.0, WAVE_PROFILE_Y, ij);
|
|
jval = ij[1];
|
|
jval -= (jval%size);
|
|
d = (jmax - jmin)/10 + 1;
|
|
deltaj = (double)(jmax - jmin - 2*d);
|
|
ymin = (double)(jmin + d);
|
|
for (i=0; i<NX; i++) average_vals[i] = 0.0;
|
|
for (k=0; k<2; k++)
|
|
{
|
|
vmin[k] = 1.0e10;
|
|
vmax[k] = -vmin[k];
|
|
if (average) vmin[k] = 0.0;
|
|
}
|
|
first = 0;
|
|
}
|
|
|
|
if (average)
|
|
{
|
|
for (i=imin; i<imax; i+=size)
|
|
average_vals[i] = 0.99*average_vals[i] + 0.01*values[i*NY+jval]*values[i*NY+jval];
|
|
for (i=imin; i<imax; i+=size)
|
|
if (average_vals[i] > vmax[pnb]) vmax[pnb] = average_vals[i];
|
|
|
|
}
|
|
else
|
|
{
|
|
for (i=imin; i<imax; i+=size)
|
|
{
|
|
// if (values[i*NY+jmin] > vmax) vmax = values[i*NY+jmin];
|
|
// if (values[i*NY+jmin] < vmin) vmin = values[i*NY+jmin];
|
|
if (values[i*NY+jval] > vmax[pnb]) vmax[pnb] = values[i*NY+jval];
|
|
if (values[i*NY+jval] < vmin[pnb]) vmin[pnb] = values[i*NY+jval];
|
|
}
|
|
}
|
|
// if (vmax <= vmin) vmax = vmin + 0.01;
|
|
if ((vmin[pnb] < 0.0)&&(vmax[pnb] > 0.0))
|
|
{
|
|
if (vmax[pnb] > -vmin[pnb]) vmin[pnb] = -vmax[pnb];
|
|
else if (vmax[pnb] < -vmin[pnb]) vmax[pnb] = -vmin[pnb];
|
|
}
|
|
// printf("vmin = %.3lg, vmax = %.3lg\n", vmin, vmax);
|
|
deltav = vmax[pnb]-vmin[pnb];
|
|
if (deltav <= 0.0) deltav = 0.01;
|
|
a = deltaj/deltav;
|
|
b = ymin - a*vmin[pnb];
|
|
|
|
erase_area_ij(imin, jmin, imax, jmax);
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (i=imin; i<imax; i+=size)
|
|
{
|
|
// y = a*values[i*NY+jmin] + b;
|
|
if (average) y = a*average_vals[i] + b;
|
|
else y = a*values[i*NY+jval] + b;
|
|
if (y > ymin) glVertex2d((double)i, y);
|
|
}
|
|
glEnd();
|
|
|
|
glBegin(GL_LINE_LOOP);
|
|
glVertex2i(imin, jmin);
|
|
glVertex2i(imax, jmin);
|
|
glVertex2i(imax, jmax);
|
|
glVertex2i(imin, jmax);
|
|
glEnd();
|
|
|
|
/* slightly decrease extramal values in case signal gets weaker */
|
|
vmax[pnb] *= 0.99;
|
|
vmin[pnb] *= 0.99;
|
|
}
|
|
|
|
|
|
void draw_wave_profile_vertical(double *values, int size, int average, int pnb, int fade, double fade_value)
|
|
/* draw a vertical profile of the wave, if option DRAW_WAVE_PROFILE is active */
|
|
{
|
|
int j, k, ij[2];
|
|
double deltav, a, b, x;
|
|
static int imin, imax, ival, jmin, jmax, imid, d, first = 1;
|
|
static double vmin[2], vmax[2], deltai, xmin, average_vals[NY];
|
|
|
|
if (first)
|
|
{
|
|
jmin = 50;
|
|
jmax = NY - 50;
|
|
imin = NX - 150;
|
|
imax = NX - 50;
|
|
imid = (imin + imax)/2;
|
|
imid -= (imid%size);
|
|
xy_to_ij(WAVE_PROFILE_X, 0.0, ij);
|
|
ival = ij[0];
|
|
ival -= (ival%size);
|
|
d = (imax - imin)/10 + 1;
|
|
deltai = (double)(imax - imin - 2*d);
|
|
xmin = (double)(imin + d);
|
|
for (j=0; j<NY; j++) average_vals[j] = 0.0;
|
|
for (k=0; k<2; k++)
|
|
{
|
|
vmin[k] = 1.0e10;
|
|
vmax[k] = -vmin[k];
|
|
if (average) vmin[k] = 0.0;
|
|
}
|
|
first = 0;
|
|
}
|
|
|
|
if (average)
|
|
{
|
|
for (j=jmin; j<jmax; j+=size)
|
|
average_vals[j] = 0.99*average_vals[j] + 0.01*values[ival*NY+j]*values[ival*NY+j];
|
|
for (j=jmin; j<jmax; j+=size)
|
|
if (average_vals[j] > vmax[pnb]) vmax[pnb] = average_vals[j];
|
|
|
|
}
|
|
else
|
|
{
|
|
for (j=jmin; j<jmax; j+=size)
|
|
{
|
|
// if (values[imin*NY+j] > vmax) vmax = values[imin*NY+j];
|
|
// if (values[imin*NY+j] < vmin) vmin = values[imin*NY+j];
|
|
if (values[ival*NY+j] > vmax[pnb]) vmax[pnb] = values[ival*NY+j];
|
|
if (values[ival*NY+j] < vmin[pnb]) vmin[pnb] = values[ival*NY+j];
|
|
}
|
|
/* symmetrize output */
|
|
// if ((vmin[pnb] < 0.0)&&(vmax[pnb] > 0.0))
|
|
// {
|
|
// if (vmax[pnb] > -vmin[pnb]) vmin[pnb] = -vmax[pnb];
|
|
// else if (vmax[pnb] < -vmin[pnb]) vmax[pnb] = -vmin[pnb];
|
|
// }
|
|
|
|
// if (vmax > -vmin) vmin = -vmax;
|
|
// else if (vmax < -vmin) vmax = -vmin;
|
|
}
|
|
|
|
// printf("vmin = %.3lg, vmax = %.3lg\n", vmin[pnb], vmax[pnb]);
|
|
|
|
deltav = vmax[pnb]-vmin[pnb];
|
|
if (deltav <= 0.0) deltav = 0.01;
|
|
a = deltai/deltav;
|
|
b = xmin - a*vmin[pnb];
|
|
|
|
erase_area_ij(imin, jmin, imax, jmax);
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (j=jmin; j<jmax; j+=size)
|
|
{
|
|
if (average) x = a*average_vals[j] + b;
|
|
else x = a*values[ival*NY+j] + b;
|
|
// else x = a*values[imin*NY+j] + b;
|
|
if (x >= xmin) glVertex2d(x, (double)j);
|
|
}
|
|
glEnd();
|
|
|
|
glBegin(GL_LINE_LOOP);
|
|
glVertex2i(imin, jmin);
|
|
glVertex2i(imax, jmin);
|
|
glVertex2i(imax, jmax);
|
|
glVertex2i(imin, jmax);
|
|
glEnd();
|
|
|
|
/* slightly decrease extramal values in case signal gets weaker */
|
|
vmax[pnb] *= 0.99;
|
|
vmin[pnb] *= 0.99;
|
|
}
|
|
|
|
|
|
void draw_wave_profile(double *values, int size, int p_number, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_PROFILE is active */
|
|
{
|
|
if (VERTICAL_WAVE_PROFILE)
|
|
draw_wave_profile_vertical(values, size, AVERAGE_WAVE_PROFILE, p_number, fade, fade_value);
|
|
if (HORIZONTAL_WAVE_PROFILE)
|
|
draw_wave_profile_horizontal(values, size, AVERAGE_WAVE_PROFILE, p_number, fade, fade_value);
|
|
}
|
|
|
|
void draw_exit_timeseries(double xleft, double yleft, double xtest, double ytest, double *values, int size, int top, int symmetrize, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_TIMESERIES is active */
|
|
{
|
|
int t, t1, s, padding = 50, nvals = TIMESERIES_NVALUES;
|
|
double a, b, deltav, x, y, wmin, wmax;
|
|
static int ij[2], ij_test[2], imin, imax, jmintop, jmaxtop, jminbot, jmaxbot, jmin, jmax, itest, jtest, jtesttop, jtestbot, counter[2], first = 1, window = 5;
|
|
static double timeseries[TIMESERIES_NVALUES][2], average[TIMESERIES_NVALUES][2], vmin[2], vmax[2], ymin, deltaj, deltai;
|
|
|
|
if (first)
|
|
{
|
|
xy_to_ij(xleft, yleft, ij);
|
|
xy_to_ij(xtest, ytest, ij_test);
|
|
jmaxtop = NY - padding;
|
|
jmintop = 2*ij[1] - jmaxtop;
|
|
jtesttop = ij_test[1];
|
|
|
|
// printf("jmintop = %i, jmaxtop = %i\n", jmintop, jmaxtop);
|
|
|
|
xy_to_ij(xleft, -yleft, ij);
|
|
xy_to_ij(xtest, -ytest, ij_test);
|
|
jminbot = padding;
|
|
jmaxbot = 2*ij[1] - jminbot;
|
|
jtestbot = ij_test[1];
|
|
|
|
// printf("jminbot = %i, jmaxbot = %i\n", jminbot, jmaxbot);
|
|
|
|
imin = ij[0];
|
|
imax = NX - padding;
|
|
deltai = (double)(imax - imin)/(double)nvals;
|
|
|
|
vmin[0] = 1.0e10;
|
|
vmax[0] = -vmin[0];
|
|
vmin[1] = 1.0e10;
|
|
vmax[1] = -vmin[1];
|
|
for (t=0; t<nvals; t++)
|
|
{
|
|
timeseries[t][0] = 0.0;
|
|
timeseries[t][1] = 0.0;
|
|
}
|
|
|
|
counter[0] = 0;
|
|
counter[1] = 0;
|
|
first = 0;
|
|
}
|
|
|
|
if (top)
|
|
{
|
|
jmin = jmintop;
|
|
jmax = jmaxtop;
|
|
jtest = jtesttop;
|
|
}
|
|
else
|
|
{
|
|
jmin = jminbot;
|
|
jmax = jmaxbot;
|
|
jtest = jtestbot;
|
|
}
|
|
ymin = (double)(jmin);
|
|
itest = ij_test[0];
|
|
deltaj = (double)(jmax - jmin);
|
|
|
|
timeseries[counter[top]][top] = values[itest*NY + jtest] + values[(itest-1)*NY + jtest] + values[(itest)*NY + jtest + 1] + values[(itest-1)*NY + jtest + 1];
|
|
counter[top]++;
|
|
if (counter[top] == nvals) counter[top] = 0;
|
|
|
|
// for (t=0; t<nvals; t++) printf("val[%i] = %.3lg\n", t, timeseries[t]);
|
|
|
|
for (t=0; t<nvals; t++)
|
|
{
|
|
if (timeseries[t][top] > vmax[top]) vmax[top] = timeseries[t][top];
|
|
if (timeseries[t][top] < vmin[top]) vmin[top] = timeseries[t][top];
|
|
}
|
|
if (symmetrize)
|
|
{
|
|
if (vmax[top] > -vmin[top]) vmin[top] = -vmax[top];
|
|
else if (vmax[top] < -vmin[top]) vmax[top] = -vmin[top];
|
|
}
|
|
|
|
// printf("vmin = %.3lg, vmax = %.3lg\n", vmin[top], vmax[top]);
|
|
deltav = vmax[top]-vmin[top];
|
|
if (deltav <= 0.0) deltav = 0.01;
|
|
a = deltaj/deltav;
|
|
b = ymin - a*vmin[top];
|
|
|
|
/* compute average */
|
|
for (t=window; t<nvals-window; t++)
|
|
{
|
|
average[t][top] = 0.0;
|
|
for (s=-window; s<window; s++)
|
|
{
|
|
t1 = counter[top] - t + s;
|
|
if (t1 < 0) t1 += nvals;
|
|
if (t1 > nvals-1) t1 -= nvals;
|
|
average[t][top] += timeseries[t1][top]*timeseries[t1][top];
|
|
}
|
|
average[t][top] = sqrt(average[t][top]*0.5/(double)window);
|
|
}
|
|
|
|
erase_area_ij(imin, jmin, imax, jmax);
|
|
|
|
if (fade) glColor3f(fade_value, 0.0, 0.0);
|
|
else glColor3f(1.0, 0.0, 0.0);
|
|
|
|
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t=0; t<nvals; t++)
|
|
{
|
|
t1 = counter[top] - t;
|
|
if (t1 < 0) t1 += nvals;
|
|
x = (double)imin + deltai*(double)t;
|
|
y = a*timeseries[t1][top] + b;
|
|
glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
// printf("(x,y) = (%.2f, %.2f)\n", x, y);
|
|
|
|
|
|
/* draw average */
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t1=window; t1<nvals-window; t1++)
|
|
{
|
|
x = (double)imin + deltai*(double)t1;
|
|
y = -a*average[t1][top] + b;
|
|
if (x >= imin) glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
if (symmetrize)
|
|
{
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t1=window; t1<nvals-window; t1++)
|
|
{
|
|
x = (double)imin + deltai*(double)t1;
|
|
y = a*average[t1][top] + b;
|
|
glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
}
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
|
|
glBegin(GL_LINE_LOOP);
|
|
glVertex2i(imin, jmin);
|
|
glVertex2i(imax, jmin);
|
|
glVertex2i(imax, jmax);
|
|
glVertex2i(imin, jmax);
|
|
glEnd();
|
|
}
|
|
|
|
|
|
void draw_exit_timeseries_old(double *values, int size, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_TIMESERIES is active */
|
|
{
|
|
int t, t1, s, padding = 50, nvals = TIMESERIES_NVALUES;
|
|
double a, b, deltav, x, y, wmin, wmax;
|
|
static int ij[2], ij_test[2], imin, imax, jmin, jmax, jmid, itest, jtest, counter = 0, first = 1, window = 5;
|
|
static double timeseries[TIMESERIES_NVALUES], average[TIMESERIES_NVALUES], vmin, vmax, ymin, deltaj, deltai;
|
|
|
|
if (first)
|
|
{
|
|
xy_to_ij(LAMBDA, -1.0 + MU, ij);
|
|
// xy_to_ij(LAMBDA - 0.1*MU, -1.0 + MU, ij_test);
|
|
xy_to_ij(LAMBDA, -1.0 + 2.0*MU, ij_test);
|
|
imin = ij[0];
|
|
imax = NX - padding;
|
|
jmin = padding;
|
|
jmax = 2*ij[1] - jmin;
|
|
jmid = (jmin + jmax)/2;
|
|
ymin = (double)(jmin);
|
|
itest = ij_test[0];
|
|
jtest = ij_test[1];
|
|
deltai = (double)(imax - imin)/(double)nvals;
|
|
deltaj = (double)(jmax - jmin);
|
|
vmin = 1.0e10;
|
|
vmax = -vmin;
|
|
for (t=0; t<nvals; t++) timeseries[t] = 0.0;
|
|
first = 0;
|
|
}
|
|
|
|
timeseries[counter] = values[itest*NY + jtest] + values[(itest-1)*NY + jtest] + values[(itest)*NY + jtest + 1] + values[(itest-1)*NY + jtest + 1];
|
|
counter++;
|
|
if (counter == nvals) counter = 0;
|
|
|
|
// for (t=0; t<nvals; t++) printf("val[%i] = %.3lg\n", t, timeseries[t]);
|
|
|
|
for (t=0; t<nvals; t++)
|
|
{
|
|
if (timeseries[t] > vmax) vmax = timeseries[t];
|
|
if (timeseries[t] < vmin) vmin = timeseries[t];
|
|
}
|
|
if (vmax > -vmin) vmin = -vmax;
|
|
else if (vmax < -vmin) vmax = -vmin;
|
|
|
|
printf("vmin = %.3lg, vmax = %.3lg\n", vmin, vmax);
|
|
deltav = vmax-vmin;
|
|
if (deltav <= 0.0) deltav = 0.01;
|
|
a = deltaj/deltav;
|
|
b = ymin - a*vmin;
|
|
|
|
/* compute average */
|
|
for (t=window; t<nvals-window; t++)
|
|
{
|
|
average[t] = 0.0;
|
|
for (s=-window; s<window; s++)
|
|
{
|
|
t1 = counter - t + s;
|
|
if (t1 < 0) t1 += nvals;
|
|
if (t1 > nvals-1) t1 -= nvals;
|
|
average[t] += timeseries[t1]*timeseries[t1];
|
|
}
|
|
average[t] = sqrt(average[t]*0.5/(double)window);
|
|
}
|
|
|
|
erase_area_ij(imin, jmin, imax, jmax);
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t=0; t<nvals; t++)
|
|
{
|
|
t1 = counter - t;
|
|
if (t1 < 0) t1 += nvals;
|
|
x = (double)imin + deltai*(double)t;
|
|
y = a*timeseries[t1] + b;
|
|
glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
printf("(x,y) = (%.2f, %.2f)\n", x, y);
|
|
|
|
/* draw average */
|
|
if (fade) glColor3f(fade_value, 0.0, 0.0);
|
|
else glColor3f(1.0, 0.0, 0.0);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t1=window; t1<nvals-window; t1++)
|
|
{
|
|
x = (double)imin + deltai*(double)t1;
|
|
y = a*average[t1] + b;
|
|
if (x >= imin) glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t1=window; t1<nvals-window; t1++)
|
|
{
|
|
x = (double)imin + deltai*(double)t1;
|
|
y = -a*average[t1] + b;
|
|
glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
|
|
glBegin(GL_LINE_LOOP);
|
|
glVertex2i(imin, jmin);
|
|
glVertex2i(imax, jmin);
|
|
glVertex2i(imax, jmax);
|
|
glVertex2i(imin, jmax);
|
|
glEnd();
|
|
}
|
|
|
|
|
|
void draw_entrance_timeseries(double xleft, double yleft, double *values, int size, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_TIMESERIES is active */
|
|
{
|
|
int t, t1, padding = 50, nvals = TIMESERIES_NVALUES, ishift = 4;
|
|
double vmin, vmax, deltav, x, y;
|
|
static int ij[2], imin, imax, jmin, jmax, jmid, itest, jtest, counter = 0, first = 1,
|
|
time = 0;
|
|
static double ymin, deltaj, deltai, a, b;
|
|
|
|
if (first)
|
|
{
|
|
xy_to_ij(-xleft, yleft, ij);
|
|
imin = padding;
|
|
imax = ij[0];
|
|
jmax = NY - padding;
|
|
jmin = 2*ij[1] - jmax;
|
|
jmid = (jmin + jmax)/2;
|
|
ymin = (double)(jmin);
|
|
deltai = (double)(imax - imin)/(double)nvals;
|
|
deltaj = (double)(jmax - jmin);
|
|
b = (double)jmin + 0.25*deltaj;
|
|
a = 0.5*deltaj;
|
|
|
|
first = 0;
|
|
}
|
|
|
|
counter++;
|
|
|
|
erase_area_ij(imin, jmin, imax, jmax);
|
|
|
|
if (fade) glColor3f(fade_value, fade_value, fade_value);
|
|
else glColor3f(1.0, 1.0, 1.0);
|
|
|
|
// glEnable(GL_SCISSOR_TEST);
|
|
// glScissor(imin, jmin, imax-imin, jmax-jmin);
|
|
glBegin(GL_LINE_STRIP);
|
|
for (t=0; t<nvals + ishift; t++)
|
|
{
|
|
t1 = counter - t + nvals;
|
|
if (t1 >= NSTEPS) t1 = NSTEPS;
|
|
// x = (double)imin + deltai*(double)t;
|
|
x = (double)imin + deltai*(double)(t-ishift);
|
|
y = a*(double)input_signal[t1] + b;
|
|
if (t > ishift) glVertex2d(x, y);
|
|
}
|
|
glEnd();
|
|
// glDisable(GL_SCISSOR_TEST);
|
|
|
|
glBegin(GL_LINE_LOOP);
|
|
glVertex2i(imin, jmin);
|
|
glVertex2i(imax, jmin);
|
|
glVertex2i(imax, jmax);
|
|
glVertex2i(imin, jmax);
|
|
glEnd();
|
|
}
|
|
|
|
void draw_wave_timeseries(double xleft, double yleft, double xtest, double ytest, double *values, int size, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_TIMESERIES is active */
|
|
{
|
|
int symmetrize = 1;
|
|
|
|
draw_exit_timeseries(xleft, yleft, xtest, ytest, values, size, 0, symmetrize, fade, fade_value);
|
|
if (DRAW_WAVE_TIMESERIES == 2)
|
|
draw_exit_timeseries(xleft, yleft, xtest, ytest, values, size, 1, symmetrize, fade, fade_value);
|
|
draw_entrance_timeseries(xleft, yleft, values, size, fade, fade_value);
|
|
}
|
|
|
|
void draw_wave_timeseries_old(double *values, int size, int fade, double fade_value)
|
|
/* draw a profile of the wave, if option DRAW_WAVE_TIMESERIES is active */
|
|
{
|
|
draw_exit_timeseries_old(values, size, fade, fade_value);
|
|
draw_entrance_timeseries(1.0, 1.0, values, size, fade, fade_value);
|
|
}
|
|
|
|
void draw_wave_highres_palette(int size, double *phi[NX], double *psi[NX], double *total_energy[NX], double *average_energy[NX], double *total_flux, short int *xy_in[NX], double scale, int time, int plot, int palette, int pnumber, int fade, double fade_value)
|
|
/* same as draw_wave_highres, but with color scheme option */
|
|
{
|
|
int i, j, k, iplus, iminus, jplus, jminus;
|
|
double value, rgb[3], xy[2], x1, y1, x2, y2, velocity, energy, gradientx2, gradienty2, arg, mod, flux_factor, gx, gy, mgx, mgy;
|
|
// double vmin, vmax, deltav;
|
|
static double dtinverse = ((double)NX)/(COURANT*(XMAX-XMIN)), dx = (XMAX-XMIN)/((double)NX);
|
|
double *values;
|
|
|
|
if ((DRAW_WAVE_PROFILE)||(DRAW_WAVE_TIMESERIES)) values = (double *)malloc(NX*NY*sizeof(double));
|
|
|
|
glBegin(GL_QUADS);
|
|
|
|
// printf("dtinverse = %.5lg\n", dtinverse);
|
|
|
|
for (i=0; i<NX; i+=size)
|
|
for (j=0; j<NY; j+=size)
|
|
{
|
|
if ((TWOSPEEDS)||(xy_in[i][j]))
|
|
{
|
|
value = wave_value(i, j, phi, psi, total_energy, average_energy, total_flux, xy_in, scale, time, plot, palette, rgb);
|
|
|
|
if ((DRAW_WAVE_PROFILE)||(DRAW_WAVE_TIMESERIES)) values[i*NY+j] = value;
|
|
|
|
if (fade) for (k=0; k<3; k++) rgb[k] *= fade_value;
|
|
glColor3f(rgb[0], rgb[1], rgb[2]);
|
|
|
|
glVertex2i(i, j);
|
|
glVertex2i(i+size, j);
|
|
glVertex2i(i+size, j+size);
|
|
glVertex2i(i, j+size);
|
|
}
|
|
}
|
|
|
|
glEnd ();
|
|
|
|
draw_billiard(fade, fade_value);
|
|
|
|
if (DRAW_WAVE_TIMESERIES) draw_wave_timeseries(1.0, 1.0, 1.0, 0.5, values, size, fade, fade_value);
|
|
if (DRAW_WAVE_PROFILE) draw_wave_profile(values, size, pnumber, fade, fade_value);
|
|
if ((DRAW_WAVE_PROFILE)||(DRAW_WAVE_TIMESERIES)) free(values);
|
|
if (DRAW_WAVE_SOURCE)
|
|
{
|
|
glColor3f(0.0, 0.0, 0.0);
|
|
draw_circle(wave_source_x, wave_source_y, 0.005, 100);
|
|
}
|
|
|
|
}
|
|
|
|
/* modified function for "flattened" wave tables */
|
|
|
|
void init_circular_wave_mod(double x, double y, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY])
|
|
/* initialise field with drop at (x,y) - phi is wave height, psi is phi at time t-1 */
|
|
{
|
|
int i, j;
|
|
double xy[2], dist2;
|
|
|
|
printf("Initializing wave\n");
|
|
// #pragma omp parallel for private(i,j,xy,dist2)
|
|
for (i=0; i<NX; i++)
|
|
{
|
|
if (i%100 == 0) printf("Initializing column %i of %i\n", i, NX);
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
// printf("i*NY+j = %i\n", i*NY+j);
|
|
ij_to_xy(i, j, xy);
|
|
dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
|
|
xy_in[i*NY+j] = xy_in_billiard(xy[0],xy[1]);
|
|
|
|
if ((xy_in[i*NY+j])||(TWOSPEEDS))
|
|
phi[i*NY+j] = INITIAL_AMP*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
|
|
else phi[i*NY+j] = 0.0;
|
|
psi[i*NY+j] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
|
|
void add_circular_wave_mod(double factor, double x, double y, double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY])
|
|
/* add drop at (x,y) to the field with given prefactor */
|
|
{
|
|
int i, j;
|
|
double xy[2], dist2;
|
|
|
|
#pragma omp parallel for private(i,j,xy,dist2)
|
|
for (i=0; i<NX; i++)
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
ij_to_xy(i, j, xy);
|
|
dist2 = (xy[0]-x)*(xy[0]-x) + (xy[1]-y)*(xy[1]-y);
|
|
if ((xy_in[i*NY+j])||(TWOSPEEDS))
|
|
phi[i*NY+j] += INITIAL_AMP*factor*exp(-dist2/INITIAL_VARIANCE)*cos(-sqrt(dist2)/INITIAL_WAVELENGTH);
|
|
}
|
|
}
|
|
|
|
void init_wave_flat_mod(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY])
|
|
/* initialise flat field - phi is wave height, psi is phi at time t-1 */
|
|
{
|
|
int i, j;
|
|
double xy[2];
|
|
|
|
#pragma omp parallel for private(i,j,xy)
|
|
for (i=0; i<NX; i++) {
|
|
if (i%100 == 0) printf("Wave and table xy_in - Initialising column %i of %i\n", i, NX);
|
|
for (j=0; j<NY; j++)
|
|
{
|
|
ij_to_xy(i, j, xy);
|
|
xy_in[i*NY+j] = xy_in_billiard(xy[0],xy[1]);
|
|
phi[i*NY+j] = 0.0;
|
|
psi[i*NY+j] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
double compute_variance_mod(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY])
|
|
/* compute the variance of the field, to adjust color scheme */
|
|
{
|
|
int i, j, n = 0;
|
|
double variance = 0.0;
|
|
|
|
#pragma omp parallel for private(i,j,variance)
|
|
for (i=1; i<NX; i++)
|
|
for (j=1; j<NY; j++)
|
|
{
|
|
if (xy_in[i*NY+j])
|
|
{
|
|
n++;
|
|
variance += phi[i*NY+j]*phi[i*NY+j];
|
|
}
|
|
}
|
|
if (n==0) n=1;
|
|
return(variance/(double)n);
|
|
}
|
|
|
|
double compute_energy_mod(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int i, int j)
|
|
{
|
|
double velocity, energy, gradientx2, gradienty2;
|
|
int iplus, iminus, jplus, jminus;
|
|
static int i1, j1, i2, j2, i3, j3, ij[2];
|
|
static int first = 1;
|
|
|
|
if (first)
|
|
{
|
|
xy_to_ij(-LAMBDA, -1.0, ij);
|
|
i1 = ij[0] + 1; j1 = ij[1] + 1;
|
|
xy_to_ij(0.0, 0.0, ij);
|
|
i2 = ij[0] - 1; j2 = ij[1] - 1;
|
|
xy_to_ij(LAMBDA, 1.0, ij);
|
|
i3 = ij[0] - 1; j3 = ij[1] - 1;
|
|
first = 0;
|
|
}
|
|
|
|
velocity = (phi[i*NY+j] - psi[i*NY+j]);
|
|
|
|
/* avoid computing gradient across boundary of compared regions */
|
|
if (COMPARISON)
|
|
{
|
|
iplus = (i+1); if (iplus == NX) iplus = NX-1;
|
|
iminus = (i-1); if (iminus == -1) iminus = 0;
|
|
jplus = (j+1); if (jplus == NY) jplus = NY-1; else if (jplus == NY/2) jplus = NY/2-1;
|
|
jminus = (j-1); if (jminus == -1) jminus = 0; else if (jminus == NY/2-1) jminus = NY/2;
|
|
}
|
|
else
|
|
{
|
|
iplus = (i+1); if (iplus == NX) iplus = NX-1;
|
|
iminus = (i-1); if (iminus == -1) iminus = 0;
|
|
jplus = (j+1); if (jplus == NY) jplus = NY-1;
|
|
jminus = (j-1); if (jminus == -1) jminus = 0;
|
|
}
|
|
// else
|
|
// {
|
|
// iplus = i+1;
|
|
// if ((j<j2)&&(iplus>i3-1)) iplus = i1;
|
|
// else if ((j>=j2)&&(iplus>i2-1)) iplus = i1;
|
|
//
|
|
// iminus = i-1;
|
|
// if ((j<j2)&&(iminus<i1)) iminus = i3-1;
|
|
// else if ((j>=j2)&&(iminus<i1)) iminus = i2-1;
|
|
//
|
|
// jplus = j+1;
|
|
// if ((i<i2)&&(jplus>j3-1)) jplus = j1;
|
|
// else if ((i>=i2)&&(jplus>j2-1)) jplus = j1;
|
|
//
|
|
// jminus = j-1;
|
|
// if ((i<i2)&&(jminus<j1)) jminus = j3-1;
|
|
// else if ((i>=i2)&&(jminus<j1)) jminus = j2-1;
|
|
//
|
|
// jminus = j-1;
|
|
// }
|
|
|
|
if (B_COND == BC_LSHAPE)
|
|
{
|
|
if ((i<=i1)||(j<=j1)) return(0.0);
|
|
if ((i>=i2-1)&&(j>=j2-1)) return(0.0);
|
|
if ((i>=i3-1)||(j>=j3-1)) return(0.0);
|
|
}
|
|
|
|
|
|
gradientx2 = (phi[iplus*NY+j]-phi[i*NY+j])*(phi[iplus*NY+j]-phi[i*NY+j])
|
|
+ (phi[i*NY+j] - phi[iminus*NY+j])*(phi[i*NY+j] - phi[iminus*NY+j]);
|
|
gradienty2 = (phi[i*NY+jplus]-phi[i*NY+j])*(phi[i*NY+jplus]-phi[i*NY+j])
|
|
+ (phi[i*NY+j] - phi[i*NY+jminus])*(phi[i*NY+j] - phi[i*NY+jminus]);
|
|
if (xy_in[i*NY+j]) return(E_SCALE*E_SCALE*(velocity*velocity + 0.5*COURANT*COURANT*(gradientx2+gradienty2)));
|
|
else if (TWOSPEEDS) return(E_SCALE*E_SCALE*(velocity*velocity + 0.5*COURANTB*COURANTB*(gradientx2+gradienty2)));
|
|
else return(0.0);
|
|
}
|
|
|
|
void compute_energy_flux_mod(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int i, int j, double *gx, double *gy, double *arg, double *module)
|
|
/* computes energy flux given by c^2 norm(nabla u) du/dt*/
|
|
{
|
|
double velocity, energy, gradientx, gradienty, max = 1.0e5, current_mod, current_arg;
|
|
int iplus, iminus, jplus, jminus;
|
|
|
|
if ((i == 0)||(i == NX-1)||(j == 0)||(j == NY-1))
|
|
{
|
|
current_mod = 0.0;
|
|
current_arg = PI;
|
|
*gx = 0.0;
|
|
*gy = 0.0;
|
|
}
|
|
else if ((xy_in[i*NY+j])||(TWOSPEEDS))
|
|
{
|
|
velocity = vabs(phi[i*NY+j] - psi[i*NY+j]);
|
|
|
|
// iplus = (i+1); /*if (iplus == NX) iplus = NX-1;*/
|
|
// iminus = (i-1); /*if (iminus == -1) iminus = 0;*/
|
|
// jplus = (j+1); /*if (jplus == NY) jplus = NY-1;*/
|
|
// jminus = (j-1); /*if (jminus == -1) jminus = 0;*/
|
|
|
|
gradientx = (phi[(i+1)*NY+j] - phi[(i-1)*NY+j]);
|
|
gradienty = (phi[i*NY+j+1] - phi[i*NY+j-1]);
|
|
|
|
if (gradientx > max) gradientx = max;
|
|
else if (gradientx < -max) gradientx = -max;
|
|
if (gradienty > max) gradienty = max;
|
|
else if (gradienty < -max) gradienty = -max;
|
|
|
|
current_mod = velocity*module2(gradientx, gradienty);
|
|
if (current_mod > 1.0e-10)
|
|
{
|
|
current_arg = argument(gradientx,gradienty);
|
|
if (current_arg < 0.0) current_arg += DPI;
|
|
if (current_arg >= DPI) current_arg -= DPI;
|
|
}
|
|
else current_arg = PI;
|
|
*gx = velocity*gradientx;
|
|
*gy = velocity*gradienty;
|
|
}
|
|
else
|
|
{
|
|
current_mod = 0.0;
|
|
current_arg = PI;
|
|
*gx = 0.0;
|
|
*gy = 0.0;
|
|
}
|
|
|
|
*module = current_mod;
|
|
*arg = current_arg;
|
|
}
|
|
|
|
|
|
double compute_phase(double phi[NX*NY], double psi[NX*NY], short int xy_in[NX*NY], int i, int j)
|
|
{
|
|
double velocity, angle;
|
|
|
|
velocity = (phi[i*NY+j] - psi[i*NY+j]);
|
|
|
|
if (module2(phi[i*NY+j], velocity) < 1.0e-10) return(0.0);
|
|
else if (xy_in[i*NY+j])
|
|
{
|
|
angle = argument(phi[i*NY+j], PHASE_FACTOR*velocity/COURANT);
|
|
if (angle < 0.0) angle += DPI;
|
|
|
|
if ((i==NY/2)&&(j==NY/2)) printf("Phase = %.3lg Pi\n", angle/PI);
|
|
return(angle);
|
|
}
|
|
else if (TWOSPEEDS)
|
|
{
|
|
angle = argument(phi[i*NY+j], PHASE_FACTOR*velocity/COURANTB);
|
|
if (angle < 0.0) angle += DPI;
|
|
return(angle);
|
|
}
|
|
else return(0.0);
|
|
}
|
|
|