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sub_perco.c
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sub_perco.c
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/*********************/
/* Graphics routines */
/*********************/
#include "colors_waves.c"
#define CLUSTER_SHIFT 10 /* shift in numbering of open clusters */
double argument(double x, double y)
{
double alph;
if (x!=0.0)
{
alph = atan(y/x);
if (x<0.0)
alph += PI;
}
else
{
alph = PID;
if (y<0.0)
alph = PI*1.5;
}
return(alph);
}
int writetiff(char *filename, char *description, int x, int y, int width, int height, int compression)
{
TIFF *file;
GLubyte *image, *p;
int i;
file = TIFFOpen(filename, "w");
if (file == NULL)
{
return 1;
}
image = (GLubyte *) malloc(width * height * sizeof(GLubyte) * 3);
/* OpenGL's default 4 byte pack alignment would leave extra bytes at the
end of each image row so that each full row contained a number of bytes
divisible by 4. Ie, an RGB row with 3 pixels and 8-bit componets would
be laid out like "RGBRGBRGBxxx" where the last three "xxx" bytes exist
just to pad the row out to 12 bytes (12 is divisible by 4). To make sure
the rows are packed as tight as possible (no row padding), set the pack
alignment to 1. */
glPixelStorei(GL_PACK_ALIGNMENT, 1);
glReadPixels(x, y, width, height, GL_RGB, GL_UNSIGNED_BYTE, image);
TIFFSetField(file, TIFFTAG_IMAGEWIDTH, (uint32_t) width);
TIFFSetField(file, TIFFTAG_IMAGELENGTH, (uint32_t) height);
TIFFSetField(file, TIFFTAG_BITSPERSAMPLE, 8);
TIFFSetField(file, TIFFTAG_COMPRESSION, compression);
TIFFSetField(file, TIFFTAG_PHOTOMETRIC, PHOTOMETRIC_RGB);
TIFFSetField(file, TIFFTAG_ORIENTATION, ORIENTATION_BOTLEFT);
TIFFSetField(file, TIFFTAG_SAMPLESPERPIXEL, 3);
TIFFSetField(file, TIFFTAG_PLANARCONFIG, PLANARCONFIG_CONTIG);
TIFFSetField(file, TIFFTAG_ROWSPERSTRIP, 1);
TIFFSetField(file, TIFFTAG_IMAGEDESCRIPTION, description);
p = image;
for (i = height - 1; i >= 0; i--)
{
// if (TIFFWriteScanline(file, p, height - i - 1, 0) < 0)
if (TIFFWriteScanline(file, p, i, 0) < 0)
{
free(image);
TIFFClose(file);
return 1;
}
p += width * sizeof(GLubyte) * 3;
}
TIFFClose(file);
return 0;
}
void init() /* initialisation of window */
{
glLineWidth(3);
glClearColor(0.0, 0.0, 0.0, 1.0);
glClear(GL_COLOR_BUFFER_BIT);
if (PLOT_3D) glOrtho(XMIN, XMAX, YMIN, YMAX , -1.0, 1.0);
else glOrtho(0.0, NX, 0.0, NY, -1.0, 1.0);
}
void blank()
{
if (BLACK) glClearColor(0.0, 0.0, 0.0, 1.0);
else glClearColor(1.0, 1.0, 1.0, 1.0);
glClear(GL_COLOR_BUFFER_BIT);
}
void write_text_fixedwidth( double x, double y, char *st)
{
int l, i;
l=strlen( st ); // see how many characters are in text string.
glRasterPos2d( x, y); // location to start printing text
for( i=0; i < l; i++) // loop until i is greater then l
{
// glutBitmapCharacter(GLUT_BITMAP_TIMES_ROMAN_24, st[i]); // Print a character on the screen
// glutBitmapCharacter(GLUT_BITMAP_8_BY_13, st[i]); // Print a character on the screen
glutBitmapCharacter(GLUT_BITMAP_9_BY_15, st[i]); // Print a character on the screen
}
}
void write_text( double x, double y, char *st)
{
int l,i;
l=strlen( st ); // see how many characters are in text string.
glRasterPos2d( x, y); // location to start printing text
for( i=0; i < l; i++) // loop until i is greater then l
{
glutBitmapCharacter(GLUT_BITMAP_TIMES_ROMAN_24, st[i]); // Print a character on the screen
// glutBitmapCharacter(GLUT_BITMAP_8_BY_13, st[i]); // Print a character on the screen
}
}
void save_frame_perc()
{
static int counter = 0;
char *name="perc.", n2[100];
char format[6]=".%05i";
counter++;
strcpy(n2, name);
sprintf(strstr(n2,"."), format, counter);
strcat(n2, ".tif");
printf(" saving frame %s \n",n2);
writetiff(n2, "Wave equation in a planar domain", 0, 0,
WINWIDTH, WINHEIGHT, COMPRESSION_LZW);
}
/*********************/
/* some basic math */
/*********************/
double ipow(double x, int n)
{
double y;
int i;
y = x;
for (i=1; i<n; i++) y *= x;
return(y);
}
int ipowi(int base, int n)
{
int p, i;
if (n == 0) return(1);
else
{
p = base;
for (i=1; i<n; i++) p *= base;
return(p);
}
}
double module2(double x, double y) /* Euclidean norm */
{
double m;
m = sqrt(x*x + y*y);
return(m);
}
/*********************/
/* drawing routines */
/*********************/
/* The billiard boundary is drawn in (x,y) coordinates */
/* However for the grid points, we use integer coordinates (i,j) */
/* GL would allow to always work in (x,y) coordinates but using both */
/* sets of coordinates decreases number of double computations when */
/* drawing the field */
void xy_to_ij(double x, double y, int ij[2])
/* convert (x,y) position to (i,j) in table representing wave */
{
double x1, y1;
x1 = (x - XMIN)/(XMAX - XMIN);
y1 = (y - YMIN)/(YMAX - YMIN);
ij[0] = (int)(x1 * (double)NX);
ij[1] = (int)(y1 * (double)NY);
}
void xy_to_pos(double x, double y, double pos[2])
/* convert (x,y) position to double-valued position in table representing wave */
{
double x1, y1;
if (PLOT_3D)
{
pos[0] = x;
pos[1] = y;
}
else
{
x1 = (x - XMIN)/(XMAX - XMIN);
y1 = (y - YMIN)/(YMAX - YMIN);
pos[0] = x1 * (double)NX;
pos[1] = y1 * (double)NY;
}
}
void erase_area_rgb(double x, double y, double dx, double dy, double rgb[3])
{
double pos[2];
glColor3f(rgb[0], rgb[1], rgb[2]);
glBegin(GL_QUADS);
xy_to_pos(x - dx, y - dy, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x + dx, y - dy, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x + dx, y + dy, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x - dx, y + dy, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
void draw_line(double x1, double y1, double x2, double y2)
{
double pos[2];
glBegin(GL_LINE_STRIP);
xy_to_pos(x1, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y2, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
void draw_rectangle(double x1, double y1, double x2, double y2)
{
double pos[2];
glBegin(GL_LINE_LOOP);
xy_to_pos(x1, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y2, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x1, y2, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
void draw_colored_rectangle(double x1, double y1, double x2, double y2, double hue)
{
double pos[2], rgb[3];
hsl_to_rgb_palette(hue, 0.9, 0.5, rgb, COLOR_PALETTE);
glColor3f(rgb[0], rgb[1], rgb[2]);
glBegin(GL_QUADS);
xy_to_pos(x1, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y2, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x1, y2, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
glColor3f(0.0, 0.0, 0.0);
glBegin(GL_LINE_LOOP);
xy_to_pos(x1, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y1, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x2, y2, pos);
glVertex2d(pos[0], pos[1]);
xy_to_pos(x1, y2, pos);
glVertex2d(pos[0], pos[1]);
glEnd();
}
void draw_circle(double x, double y, double r, int nseg)
{
int i;
double pos[2], alpha, dalpha;
dalpha = DPI/(double)nseg;
glBegin(GL_LINE_LOOP);
for (i=0; i<=nseg; i++)
{
alpha = (double)i*dalpha;
xy_to_pos(x + r*cos(alpha), y + r*sin(alpha), pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
}
void draw_colored_circle(double x, double y, double r, int nseg)
{
int i;
double pos[2], alpha, dalpha;
dalpha = DPI/(double)nseg;
glBegin(GL_TRIANGLE_FAN);
xy_to_pos(x, y, pos);
glVertex2d(pos[0], pos[1]);
for (i=0; i<=nseg; i++)
{
alpha = (double)i*dalpha;
xy_to_pos(x + r*cos(alpha), y + r*sin(alpha), pos);
glVertex2d(pos[0], pos[1]);
}
glEnd();
}
int graphical_rep(int bcondition)
/* return type of drawing, depending on lattice/boundary conditions */
{
switch (bcondition) {
case (BC_SQUARE_DIRICHLET): return(PLOT_SQUARES);
case (BC_SQUARE_PERIODIC): return(PLOT_SQUARES);
case (BC_SQUARE_BOND_DIRICHLET): return(PLOT_SQUARE_BONDS);
case (BC_HEX_SITE_DIRICHLET): return(PLOT_HEX);
case (BC_HEX_BOND_DIRICHLET): return(PLOT_HEX_BONDS);
case (BC_TRIANGLE_SITE_DIRICHLET): return(PLOT_TRIANGLE);
case (BC_POISSON_DISC): return(PLOT_POISSON_DISC);
// case (BC_CUBIC_DIRICHLET): return(PLOT_SQUARES);
case (BC_CUBIC_DIRICHLET): return(PLOT_CUBES);
default: return(0);
}
}
double pcritical(int lattice)
/* critical probability in terms of lattice and boundary condition */
{
switch (lattice) {
case (BC_SQUARE_DIRICHLET): return(0.59274);
case (BC_SQUARE_PERIODIC): return(0.59274);
case (BC_SQUARE_BOND_DIRICHLET): return(0.5);
case (BC_HEX_BOND_DIRICHLET): return(1.0 - 2.0*sin(PI/18.0));
case (BC_TRIANGLE_SITE_DIRICHLET): return(0.6970402);
case (BC_CUBIC_DIRICHLET): return(0.311604);
default: return(0.5);
}
}
int cellnb(int i, int j, int group, int nx, int ny)
/* convert 2d coordinates to 1d */
{
switch (LATTICE) {
case (BC_SQUARE_DIRICHLET):
{
return(i*ny+j);
}
case (BC_SQUARE_PERIODIC):
{
return(i*ny+j);
}
case (BC_SQUARE_BOND_DIRICHLET):
{
if (group == 0) return(i+nx*j);
else return (nx*(ny+1) + i*ny+j);
}
case (BC_HEX_SITE_DIRICHLET):
{
return(i+nx*j);
}
case (BC_HEX_BOND_DIRICHLET):
{
return (group*nx*(ny+1) + i+nx*j);
}
case (BC_TRIANGLE_SITE_DIRICHLET):
{
return(i+2*nx*j);
}
case (BC_POISSON_DISC):
{
return(i);
}
}
}
int cellnb_3d(int i, int j, int k, int group, int nx, int ny, int nz)
/* convert 3d coordinates to 1d */
{
switch (LATTICE) {
case (BC_CUBIC_DIRICHLET):
{
return(k*nx*ny + j*nx + i);
}
}
}
int cell_to_ij(int c, int *i, int *j, int nx, int ny)
/* convert 1d coordinates to 2d, returns group */
{
int group;
switch (LATTICE) {
case (BC_SQUARE_DIRICHLET):
{
*i = c/ny;
*j = c - *i*ny;
return(0);
}
case (BC_SQUARE_PERIODIC):
{
*i = c/ny;
*j = c - *i*ny;
return(0);
}
case (BC_SQUARE_BOND_DIRICHLET):
{
if (c < nx*(ny+1))
{
*j = c/nx;
*i = c - *j*nx;
return(0);
}
else
{
c -= nx*(ny+1);
*i = c/ny;
*j = c - *i*ny;
return(1);
}
}
case (BC_HEX_SITE_DIRICHLET):
{
*j = c/nx;
*i = c - *j*nx;
return(0);
}
case (BC_HEX_BOND_DIRICHLET):
{
group = c/(nx*(ny+1));
c -= group*(nx*(ny+1));
*j = c/nx;
*i = c - *j*nx;
return(group);
}
case (BC_TRIANGLE_SITE_DIRICHLET):
{
*j= c/(2*nx);
*i = c - 2*(*j)*nx;
return(0);
}
}
}
double p_schedule(int i)
/* percolation probability p as a function of time */
{
double time, pstar;
int factor;
pstar = pcritical(LATTICE);
factor = ipow(2, P_SCHEDULE_POWER);
time = (double)i/(double)(NSTEPS-1);
if (time > 0.5) return(pstar + factor*(1.0 - pstar)*ipow(time - 0.5, P_SCHEDULE_POWER));
else return(pstar - factor*pstar*ipow(0.5 - time, P_SCHEDULE_POWER));
}
int in_plot_box(double x, double y)
{
int pos[2];
static double xmin, ymin;
static int first = 1;
if (first)
{
xy_to_ij(XMAX - 1.0, YMAX - 1.0, pos);
xmin = (double)pos[0];
ymin = (double)pos[1];
first = 0;
}
return((x > xmin)&&(y > ymin));
}
int in_plot_box_screencoord(double x, double y)
{
static double xmin, ymin;
static int first = 1;
if (first)
{
xmin = XMAX - 1.0;
ymin = YMAX - 1.0;
first = 0;
}
return((x > xmin)&&(y > ymin));
}
double size_ratio_color(int clustersize, int ncells)
/* color of cell as function of the size of its cluster */
{
double ratio, minratio = 1.0e-2, x, p = 0.1;
minratio = 1.0/(double)ncells;
ratio = (double)clustersize/(double)ncells;
if (ratio > 1.0) ratio = 1.0;
else if (ratio < minratio) ratio = minratio;
// x = log(ratio/minratio)/log(1.0/minratio);
// x = log(1.0 + log(ratio/minratio))/log(1.0 - log(minratio));
// x = pow(log(ratio/minratio)/(-log(minratio)), 0.1);
x = (pow(ratio, p) - pow(minratio, p))/(1.0 - pow(minratio, p));
return(CLUSTER_HUEMIN*x + CLUSTER_HUEMAX*(1.0 -x));
/* other attempts that seem to bug */
// ratio = log((double)(clustersize+1))/log((double)(ncells+1));
// // ratio = ((double)clustersize)/((double)ncells);
// // ratio = sqrt((double)clustersize)/sqrt((double)ncells);
// if (ratio > 1.0) ratio = 1.0;
// else if (ratio < 0.0) ratio = 0.0;
// return(CLUSTER_HUEMAX*ratio + CLUSTER_HUEMIN*(1.0 -ratio));
}
void compute_cell_color(t_perco cell, int *cluster_sizes, int fade, int max_cluster_size, int kx, int nx, int kz, int nz, double rgb[3])
/* compute color of cell */
{
int k, color, csize;
double fade_factor = 0.15, hue;
if (!cell.open) hsl_to_rgb_palette(HUE_CLOSED, 0.9, 0.5, rgb, COLOR_PALETTE);
else
{
if (!cell.flooded) hsl_to_rgb_palette(HUE_OPEN, 0.9, 0.5, rgb, COLOR_PALETTE);
else
{
if (COLOR_CELLS_BY_XCOORD)
{
hue = CLUSTER_HUEMIN + (CLUSTER_HUEMAX - CLUSTER_HUEMIN)*(double)kx/(double)nx;
hsl_to_rgb_palette(hue, 0.9, 0.5, rgb, COLOR_PALETTE);
}
else if (COLOR_CELLS_BY_ZCOORD)
{
hue = CLUSTER_HUEMIN + (CLUSTER_HUEMAX - CLUSTER_HUEMIN)*(double)kz/(double)nz;
hsl_to_rgb_palette(hue, 0.9, 0.5, rgb, COLOR_PALETTE);
}
else hsl_to_rgb_palette(HUE_FLOODED, 0.9, 0.5, rgb, COLOR_PALETTE);
}
if ((FIND_ALL_CLUSTERS)&&(COLOR_CLUSTERS_BY_SIZE))
{
csize = cluster_sizes[cell.cluster];
hue = size_ratio_color(csize, max_cluster_size);
hsl_to_rgb_palette(hue, 0.9, 0.5, rgb, COLOR_PALETTE);
}
else if ((FIND_ALL_CLUSTERS)&&(cell.cluster > 1))
{
color = cell.cluster%N_CLUSTER_COLORS;
hue = CLUSTER_HUEMIN + (CLUSTER_HUEMAX - CLUSTER_HUEMIN)*(double)color/(double)N_CLUSTER_COLORS;
hsl_to_rgb_palette(hue, 0.9, 0.5, rgb, COLOR_PALETTE);
}
// if ((FLOOD_LEFT_BOUNDARY)&&(cell.flooded == 1)) hsl_to_rgb_palette(HUE_FLOODED, 0.9, 0.5, rgb, COLOR_PALETTE);
}
if (fade) for (k=0; k<3; k++) rgb[k] = 1.0 - fade_factor + fade_factor*rgb[k];
}
void set_cell_color(t_perco cell, int *cluster_sizes, int fade, int max_cluster_size, int i, int nx, int k, int nz)
/* set color of cell */
{
double rgb[3];
compute_cell_color(cell, cluster_sizes, fade, max_cluster_size, i, nx, k, nz, rgb);
glColor3f(rgb[0], rgb[1], rgb[2]);
}
double plot_coord(double x, double xmin, double xmax)
{
return(xmin + x*(xmax - xmin));
}
void draw_size_plot(double plot_cluster_size[NSTEPS], int i, double pcrit)
/* draw plot of cluster sizes in terms of p */
{
int j;
char message[100];
static double xmin, xmax, ymin, ymax, xmid, ymid, dx, dy, plotxmin, plotxmax, plotymin, plotymax;
double pos[2], x1, y1, x2, y2, rgb[3], x;
static int first = 1;
if (first)
{
xmin = XMAX - 0.95;
xmax = XMAX - 0.05;
ymin = YMAX - 0.95;
ymax = YMAX - 0.05;
xmid = 0.5*(xmin + xmax);
ymid = 0.5*(ymin + ymax);
dx = 0.5*(xmax - xmin);
dy = 0.5*(ymax - ymin);
plotxmin = xmin + 0.05;
plotxmax = xmax - 0.1;
plotymin = ymin + 0.07;
plotymax = ymax - 0.15;
first = 0;
}
rgb[0] = 1.0; rgb[1] = 1.0; rgb[2] = 1.0;
// erase_area_rgb(xmid, ymid, dx, dy, rgb);
glColor3f(0.0, 0.0, 0.0);
glLineWidth(2);
/* axes and labels */
draw_line(plotxmin, plotymin, plotxmax + 0.05, plotymin);
draw_line(plotxmin, plotymin, plotxmin, plotymax + 0.1);
draw_line(plotxmin - 0.02, plotymax, plotxmin + 0.02, plotymax);
x = plot_coord(pcrit, plotxmin, plotxmax);
draw_line(x, plotymin, x, plotymax);
draw_line(plotxmax, plotymin - 0.02, plotxmax, plotymin + 0.02);
xy_to_pos(plotxmax + 0.06, plotymin - 0.03, pos);
sprintf(message, "p");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(x - 0.02, plotymin - 0.04, pos);
sprintf(message, "pc");
write_text_fixedwidth(pos[0], pos[1], message);
hsl_to_rgb_palette(HUE_GRAPH_SIZE, 0.9, 0.5, rgb, COLOR_PALETTE);
glColor3f(rgb[0], rgb[1], rgb[2]);
xy_to_pos(plotxmax - 0.015, plotymin - 0.06, pos);
sprintf(message, "1");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(plotxmin + 0.02, plotymax + 0.1, pos);
sprintf(message, "nflooded/nopen");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(plotxmin - 0.05, plotymax - 0.01, pos);
sprintf(message, "1");
write_text_fixedwidth(pos[0], pos[1], message);
/* plot */
x1 = plotxmin;
y1 = plotymin;
for (j=0; j<i; j++)
{
// x2 = plot_coord((double)j/(double)NSTEPS, plotxmin, plotxmax);
x2 = plot_coord(p_schedule(j), plotxmin, plotxmax);
y2 = plot_coord(plot_cluster_size[j], plotymin, plotymax);
draw_line(x1, y1, x2, y2);
x1 = x2;
y1 = y2;
}
}
void draw_cluster_number_plot(int plot_cluster_number[NSTEPS], int max_number, int i, double pcrit)
/* draw plot of number of clusters in terms of p */
{
int j;
char message[100];
static double xmin, xmax, ymin, ymax, xmid, ymid, dx, dy, plotxmin, plotxmax, plotymin, plotymax;
double pos[2], x1, y1, x2, y2, rgb[3], x, y;
static int first = 1;
if (first)
{
xmin = XMAX - 0.95;
xmax = XMAX - 0.05;
ymin = YMAX - 0.95;
ymax = YMAX - 0.05;
xmid = 0.5*(xmin + xmax);
ymid = 0.5*(ymin + ymax);
dx = 0.5*(xmax - xmin);
dy = 0.5*(ymax - ymin);
plotxmin = xmin + 0.05;
plotxmax = xmax - 0.1;
plotymin = ymin + 0.07;
plotymax = ymax - 0.15;
first = 0;
}
rgb[0] = 1.0; rgb[1] = 1.0; rgb[2] = 1.0;
// erase_area_rgb(xmid, ymid, dx, dy, rgb);
glColor3f(0.0, 0.0, 0.0);
glLineWidth(2);
/* axes and labels */
draw_line(plotxmin, plotymin, plotxmax + 0.05, plotymin);
draw_line(plotxmin, plotymin, plotxmin, plotymax + 0.1);
draw_line(plotxmin - 0.02, plotymax, plotxmin + 0.02, plotymax);
x = plot_coord(pcrit, plotxmin, plotxmax);
draw_line(x, plotymin, x, plotymax);
draw_line(plotxmax, plotymin - 0.02, plotxmax, plotymin + 0.02);
xy_to_pos(plotxmax + 0.06, plotymin - 0.03, pos);
sprintf(message, "p");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(x - 0.02, plotymin - 0.04, pos);
sprintf(message, "pc");
write_text_fixedwidth(pos[0], pos[1], message);
hsl_to_rgb_palette(HUE_GRAPH_CLUSTERS, 0.9, 0.5, rgb, COLOR_PALETTE);
glColor3f(rgb[0], rgb[1], rgb[2]);
xy_to_pos(plotxmax - 0.015, plotymin - 0.06, pos);
sprintf(message, "1");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(plotxmin + 0.02, plotymax + 0.05, pos);
sprintf(message, "clusters/cells");
write_text_fixedwidth(pos[0], pos[1], message);
xy_to_pos(plotxmin + 0.05, plotymax - 0.01, pos);
sprintf(message, "%.2f", 1.0/(double)MAX_CLUSTER_NUMBER);
write_text_fixedwidth(pos[0], pos[1], message);
/* plot */
x1 = plotxmin;
y1 = plotymin;
for (j=0; j<i; j++)
{
// x2 = plot_coord((double)j/(double)NSTEPS, plotxmin, plotxmax);
x2 = plot_coord(p_schedule(j), plotxmin, plotxmax);
y2 = plot_coord((double)plot_cluster_number[j]/(double)max_number, plotymin, plotymax);
draw_line(x1, y1, x2, y2);
x1 = x2;
y1 = y2;
}
}
void draw_cluster_histogram(int ncells, int *cluster_sizes, int maxclustersize, int maxclusterlabel)
/* draw histogram of cluster size distribution */
{
int i, bin, nbins, binwidth, *histo, maxheight = 0, csize, dh, n, max_x_axis, di;
static int maxbins = HISTO_BINS;
char message[100];
static double xmin, xmax, ymin, ymax, xmid, ymid, dx, dy, plotxmin, plotxmax, plotymin, plotymax, x, y;
double pos[2], x1, y1, x2, y2, hue, delta, logfactor = 5.0, logbinwidth;
static int first = 1;
if (first)
{
xmin = XMAX - 0.95;
xmax = XMAX - 0.05;
ymin = YMAX - 0.95;
ymax = YMAX - 0.05;
xmid = 0.5*(xmin + xmax);
ymid = 0.5*(ymin + ymax);
dx = 0.5*(xmax - xmin);
dy = 0.5*(ymax - ymin);
plotxmin = xmin + 0.15;
plotxmax = xmax - 0.1;
plotymin = ymin + 0.07;
plotymax = ymax - 0.1;
first = 0;
}
if (maxclustersize > 0)
{
// if (maxclustersize < maxbins) nbins = maxclustersize;
// else
nbins = maxbins;
histo = (int *)malloc(nbins*sizeof(int));
for (bin = 0; bin < nbins; bin++) histo[bin] = 0;
// binwidth = maxclustersize/nbins;
// if (binwidth == 0) binwidth = 1;
if (HISTO_X_LOG_SCALE) logbinwidth = log(logfactor*(double)maxclustersize)/nbins;
else binwidth = maxclustersize/nbins + 1;
if (binwidth < 1) binwidth = 1;
if (logbinwidth < 0.2) logbinwidth = 0.2;
printf("max cluster size = %i, binwidth = %i\n", maxclustersize, binwidth);
/* compute histogram */
for (i=CLUSTER_SHIFT; i<maxclusterlabel; i++) if (cluster_sizes[i] > 0)
{
if (HISTO_X_LOG_SCALE)
{
bin = (int)(log(logfactor*(double)cluster_sizes[i])/logbinwidth) - 1;
if (bin >= nbins) bin = nbins - 1;
else if (bin < 0) bin = 0;
}
else bin = (cluster_sizes[i]-1)/binwidth;
// printf("cluster size = %i, bin = %i\n", cluster_sizes[i], bin);
histo[bin]++;
}
for (bin=0; bin<maxbins; bin++) if (histo[bin] > maxheight) maxheight = histo[bin];
/* draw histogram */
glColor3f(0.0, 0.0, 0.0);
glLineWidth(2);
x1 = plotxmin;
y1 = plotymin;
if (HISTO_X_LOG_SCALE) max_x_axis = log((double)maxclustersize);
else max_x_axis = maxclustersize;
if (max_x_axis < HISTO_BINS) max_x_axis = HISTO_BINS;
for (bin=0; bin < nbins; bin++)
{
// csize = bin*binwidth + binwidth/2;
if (HISTO_X_LOG_SCALE) csize = (int)(exp((double)bin*logbinwidth)/logfactor);
else csize = bin*binwidth;
if (csize >= ncells) csize = ncells-1;
hue = size_ratio_color(csize, ncells);
x2 = plot_coord((double)((bin+1)*binwidth)/(double)(max_x_axis), plotxmin, plotxmax);
// x2 = plot_coord((double)(bin+1)/(double)nbins, plotxmin, plotxmax);
y = log((double)(histo[bin]+1))/log((double)(maxheight+1));
y2 = plot_coord(y, plotymin, plotymax);
// printf("x1 = %.2f, x2 %.2f\n", x1, x2);
draw_colored_rectangle(x1, y1, x2, y2, hue);
x1 = x2;
}
draw_line(plotxmin, plotymin, plotxmax + 0.05, plotymin);
draw_line(plotxmin, plotymin, plotxmin, plotymax + 0.1);
/* graduation of y axis */
x = log((double)(maxheight+1))/log(10.0);
for (i=0; i<(int)x + 1; i++)
{
n = ipowi(10, i);
y = log((double)(n+1))/log((double)(maxheight+1));
y1 = plot_coord(y, plotymin, plotymax);
xy_to_pos(plotxmin - 0.1, y1, pos);
draw_line(plotxmin - 0.02, y1, plotxmin + 0.02, y1);
sprintf(message, "%i", n);
xy_to_pos(plotxmin - 0.07 - 0.025*(double)i, y1 - 0.01, pos);
write_text_fixedwidth(pos[0], pos[1], message);
}
/* graduation of x axis */
if (HISTO_X_LOG_SCALE)
{
y = log(logfactor*(double)(maxclustersize+1))/log(10.0);
printf("y = %.3lg\n", y);
for (i=1; i<(int)y + 1; i++)
{
n = ipowi(10, i);
x = log((double)(n+1))/(log(logfactor*(double)(maxclustersize+1)));
// printf("n = %i, x = %.3lg\n", n, x);
x1 = plot_coord(x, plotxmin, plotxmax);
xy_to_pos(x1, plotymin - 0.1, pos);
draw_line(x1, plotymin - 0.02, x1, plotymin + 0.02);
if (n <= 1000) sprintf(message, "%i", n);
else sprintf(message, "1e%i", i);
xy_to_pos(x1 - 0.015, plotymin - 0.05, pos);
write_text_fixedwidth(pos[0], pos[1], message);
}
}
else
{
x = log((double)(max_x_axis+1))/log(10.0);
n = ipowi(10, (int)x);
y = (double)n/10.0;
delta = plot_coord((double)n/((double)(max_x_axis+1)), plotxmin, plotxmax) - plotxmin;
if (delta > 0.13 + 0.01*x) di = 1;
else if (delta > 0.08 + 0.01*x) di = 2;
else di = 5;
for (i=di; i<10; i+=di)
{
x1 = plot_coord(y*(double)i*10.0/(double)(max_x_axis+1), plotxmin, plotxmax);
if (i*n < max_x_axis*11/10)
{
sprintf(message, "%i", i*n);
xy_to_pos(x1 + 0.005 - 0.012*x, plotymin - 0.07, pos);
write_text_fixedwidth(pos[0], pos[1], message);
}
}
delta = plot_coord((double)n/(10.0*(double)(max_x_axis+1)), plotxmin, plotxmax) - plotxmin;
for (i=0; i<100; i++) if (i*n < 11*max_x_axis)
{
y = (double)(i*n)/10.0;
x1 = plot_coord(y/(double)(max_x_axis+1), plotxmin, plotxmax);
xy_to_pos(x1, plotymin , pos);
if (i%10 == 0) draw_line(x1, plotymin - 0.02, x1, plotymin + 0.02);
else if (delta > 0.02) draw_line(x1, plotymin - 0.01, x1, plotymin + 0.01);
}
}
/* for debugging */
if (DEBUG) for (bin=0; bin < nbins; bin++) printf("Bin %i = %i\n", bin, histo[bin]);
free(histo);
}
}
void draw_cell(int c, int nx, int ny, int size)
/* draw a single cell, for debugging puposes */
{
int i, j, ishift, k, group;
double rgb[3], x, y, alpha, r, fade = 0, dsize;
static double h;
static int first = 1;
dsize = (double)size;
group = cell_to_ij(c, &i, &j, nx, ny);
switch (graphical_rep(LATTICE)) {
case (PLOT_SQUARES):
{
glBegin(GL_QUADS);
glVertex2i(i*size, j*size);
glVertex2i((i+1)*size, j*size);
glVertex2i((i+1)*size, (j+1)*size);
glVertex2i(i*size, (j+1)*size);
glEnd ();
break;
}
case (PLOT_SQUARE_BONDS):
{
glLineWidth(5);
glBegin(GL_LINES);
/* horizontal segments */
if (group == 0)
{
glVertex2i(i*size, j*size);
glVertex2i((i+1)*size, j*size);
}
/* vertical segments */
else
{
glVertex2i(i*size, j*size);
glVertex2i(i*size, (j+1)*size);
}
glEnd ();
break;
}
case (PLOT_HEX):
{
if (first)