package org.freehep.math.minuit;
import java.util.List;
import org.apache.commons.math3.util.FastMath;
/** MnPlot produces a text-screen graphical output of (x,y) points. E.g.
* from Scan or Contours.
* @version $Id: MnPlot.java 8584 2006-08-10 23:06:37Z duns $
*/
public class MnPlot
{
public MnPlot()
{
this(80,30);
}
public MnPlot(int width, int length)
{
thePageWidth = width;
thePageLength = length;
if(thePageWidth > 120) thePageWidth = 120;
if(thePageLength > 56) thePageLength = 56;
}
public void plot(List points)
{
double[] x = new double[points.size()];
double[] y = new double[points.size()];
StringBuffer chpt = new StringBuffer(points.size());
int i = 0;
for(Point ipoint : points)
{
x[i] = ipoint.first;
y[i] = ipoint.second;
chpt.append('*');
i++;
}
mnplot(x, y, chpt, points.size(), width(), length());
}
public void plot(double xmin, double ymin, List points)
{
double[] x = new double[points.size()+2];
x[0] = xmin;
x[1] = xmin;
double[] y = new double[points.size()+2];
y[0] = ymin;
y[1] = ymin;
StringBuffer chpt = new StringBuffer(points.size()+2);
chpt.append(' ');
chpt.append('X');
int i = 2;
for(Point ipoint : points)
{
x[i] = ipoint.first;
y[i] = ipoint.second;
chpt.append('*');
i++;
}
mnplot(x, y, chpt, points.size()+2, width(), length());
}
int width()
{
return thePageWidth;
}
int length()
{
return thePageLength;
}
private int thePageWidth;
private int thePageLength;
private void mnplot(double[] xpt, double[] ypt, StringBuffer chpt, int nxypt, int npagwd, int npagln)
{
//*-*-*-*Plots points in array xypt onto one page with labelled axes*-*-*-*-*
//*-* ===========================================================
//*-* NXYPT is the number of points to be plotted
//*-* XPT(I) = x-coord. of ith point
//*-* YPT(I) = y-coord. of ith point
//*-* CHPT(I) = character to be plotted at this position
//*-* the input point arrays XPT, YPT, CHPT are destroyed.
//*-*
//*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
/* Local variables */
double xmin, ymin, xmax, ymax, savx, savy, yprt;
double bwidx, bwidy, xbest, ybest, ax, ay, bx, by;
double[] xvalus = new double[12];
double any, dxx, dyy;
int iten, i, j, k, maxnx, maxny, iquit, ni, linodd;
int nxbest, nybest, km1, ibk, isp1, nx, ny, ks, ix;
boolean overpr;
StringBuffer cline = new StringBuffer(npagwd);
for (int ii=0; ii ypt[j]) continue;
savx = xpt[j-1];
xpt[j-1] = xpt[j];
xpt[j] = savx;
savy = ypt[j-1];
ypt[j-1] = ypt[j];
ypt[j] = savy;
chsav = chpt.charAt(j-1);
chpt.setCharAt(j-1,chpt.charAt(j));
chpt.setCharAt(j,chsav);
iquit = 1;
}
if (iquit == 0) break;
}
//*-*- find extreme values
xmax = xpt[0];
xmin = xmax;
for (i = 1; i <= nxypt; ++i)
{
if (xpt[i-1] > xmax) xmax = xpt[i-1];
if (xpt[i-1] < xmin) xmin = xpt[i-1];
}
dxx = (xmax - xmin)*.001;
xmax += dxx;
xmin -= dxx;
mnbins(xmin, xmax, maxnx);
xmin = this.bl;
xmax = this.bh;
nx = this.nb;
bwidx = this.bwid;
ymax = ypt[0];
ymin = ypt[nxypt-1];
if (ymax == ymin) ymax = ymin + 1;
dyy = (ymax - ymin)*.001;
ymax += dyy;
ymin -= dyy;
mnbins(ymin, ymax, maxny);
ymin = this.bl;
ymax = this.bh;
ny = this.nb;
bwidy = this.bwid;
any = (double) ny;
//*-*- if first point is blank, it is an 'origin'
if (chbest != ' ')
{
xbest = (xmax + xmin)*.5;
ybest = (ymax + ymin)*.5;
}
//*-*- find scale constants
ax = 1 / bwidx;
ay = 1 / bwidy;
bx = -ax*xmin + 2;
by = -ay*ymin - 2;
//*-*- convert points to grid positions
for (i = 1; i <= nxypt; ++i)
{
xpt[i-1] = ax*xpt[i-1] + bx;
ypt[i-1] = any - ay*ypt[i-1] - by;
}
nxbest = (int) (ax*xbest + bx);
nybest = (int) (any - ay*ybest - by);
//*-*- print the points
ny += 2;
nx += 2;
isp1 = 1;
linodd = 1;
overpr = false;
for (i = 1; i <= ny; ++i)
{
for (ibk = 1; ibk <= nx; ++ibk)
{ cline.setCharAt(ibk-1,' '); }
// cline.setCharAt(nx,'\0');
// cline.setCharAt(nx+1,'\0');
cline.setCharAt(0,'.');
cline.setCharAt(nx-1,'.');
cline.setCharAt(nxbest-1,'.');
if (i == 1 || i == nybest || i == ny)
{
for (j = 1; j <= nx; ++j)
{ cline.setCharAt(j-1,'.'); }
}
yprt = ymax - (i-1.)*bwidy;
boolean isplset = false;
if (isp1 <= nxypt)
{
//*-*- find the points to be plotted on this line
for (k = isp1; k <= nxypt; ++k)
{
ks = (int) ypt[k-1];
if (ks > i)
{
isp1 = k;
isplset = true;
break;
}
ix = (int) xpt[k-1];
if (cline.charAt(ix-1) != '.' && cline.charAt(ix-1) != ' ')
{
if (cline.charAt(ix-1) == chpt.charAt(k-1)) continue;
overpr = true;
//*-*- OVERPR is true if one or more positions contains more than
//*-*- one point
cline.setCharAt(ix-1,'&');
continue;
}
cline.setCharAt(ix-1,chpt.charAt(k-1));
}
if (!isplset) isp1 = nxypt + 1;
}
if (linodd != 1 && i != ny)
{
linodd = 1;
System.out.printf(" %s",cline.substring(0,60));
}
else
{
System.out.printf(" %14.7g ..%s",yprt,cline.substring(0,60));
linodd = 0;
}
System.out.println();
}
//*-*- print labels on x-axis every ten columns
for (ibk = 1; ibk <= nx; ++ibk)
{
cline.setCharAt(ibk-1,' ');
if (ibk % 10 == 1) cline.setCharAt(ibk-1,'/');
}
System.out.printf(" %s",cline);
System.out.printf("\n");
for (ibk = 1; ibk <= 12; ++ibk)
{
xvalus[ibk-1] = xmin + (ibk-1.)*10*bwidx;
}
System.out.printf(" ");
iten = (nx + 9) / 10;
for (ibk = 1; ibk <= iten; ++ibk)
{
System.out.printf(" %9.4g", xvalus[ibk-1]);
}
System.out.printf("\n");
if (overpr)
{
String chmess = " Overprint character is &";
System.out.printf(" ONE COLUMN=%13.7g%s",bwidx,chmess);
}
else
{
String chmess = " ";
System.out.printf(" ONE COLUMN=%13.7g%s",bwidx,chmess);
}
System.out.println();
}
private void mnbins(double a1, double a2, int naa)
{
//*-*-*-*-*-*-*-*-*-*-*Compute reasonable histogram intervals*-*-*-*-*-*-*-*-*
//*-* ======================================
//*-* Function TO DETERMINE REASONABLE HISTOGRAM INTERVALS
//*-* GIVEN ABSOLUTE UPPER AND LOWER BOUNDS A1 AND A2
//*-* AND DESIRED MAXIMUM NUMBER OF BINS NAA
//*-* PROGRAM MAKES REASONABLE BINNING FROM BL TO BH OF WIDTH BWID
//*-* F. JAMES, AUGUST, 1974 , stolen for Minuit, 1988
//*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
/* Local variables */
double awid,ah, al, sigfig, sigrnd, alb;
int kwid, lwid, na=0, log_;
al = a1 < a2 ? a1 : a2;
ah = a1 > a2 ? a1 : a2;
if (al == ah) ah = al + 1;
//*-*- IF NAA .EQ. -1 , PROGRAM USES BWID INPUT FROM CALLING ROUTINE
boolean skip = (naa == -1 && bwid > 0);
if (!skip)
{
na = naa - 1;
if (na < 1) na = 1;
}
for (;;)
{
if (!skip)
{
//*-*- GET NOMINAL BIN WIDTH IN EXPON FORM
awid = (ah-al) / ((double) na);
log_ = (int) (FastMath.log10(awid));
if (awid <= 1) --log_;
sigfig = awid*FastMath.pow(10, -log_);
//*-*- ROUND MANTISSA UP TO 2, 2.5, 5, OR 10
if (sigfig <= 2)
{
sigrnd = 2;
}
else if (sigfig <= 2.5)
{
sigrnd = 2.5;
}
else if (sigfig <= 5)
{
sigrnd = 5;
}
else
{
sigrnd = 1;
++log_;
}
bwid = sigrnd*FastMath.pow(10, log_);
}
alb = al / bwid;
lwid = (int) alb;
if (alb < 0) --lwid;
bl = bwid*((double)lwid);
alb = ah / bwid + 1;
kwid = (int) alb;
if (alb < 0) --kwid;
bh = bwid*((double) kwid);
nb = kwid - lwid;
if (naa <= 5)
{
if (naa == -1) return;
//*-*- REQUEST FOR ONE BIN IS DIFFICULT CASE
if (naa > 1 || nb == 1) return;
bwid *= 2;
nb = 1;
return;
}
if (nb << 1 != naa) return;
++na;
skip = false;
continue;
}
}
private double bl;
private double bh;
private int nb;
private double bwid;
}
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