subroutine binsrt(x,y,ntot,rw,npd,ind,tx,ty,ilst,nerror) # Sort the data points into bins. # Called by master. implicit double precision(a-h,o-z) dimension x(-3:ntot), y(-3:ntot), tx(npd), ty(npd) dimension ind(npd), ilst(npd) dimension rw(4) nerror = -1 kdiv = 1+dble(npd)**0.25 # Round high. xkdiv = dble(kdiv) # Dig out the corners of the rectangular window. xmin = rw(1) xmax = rw(2) ymin = rw(3) ymax = rw(4) w = xmax-xmin h = ymax-ymin # Number of bins is to be approx. sqrt(npd); thus number of subdivisions # on each side of rectangle is approx. npd**(1/4). dw = w/xkdiv dh = h/xkdiv # The width of each bin is dw; the height is dh. We shall move across # the rectangle from left to right, then up, then back from right to # left, then up, .... Note that kx counts the divisions from the left, # ky counts the divisions from the bottom; kx is incremented by ink, which # is +/- 1 and switches sign when ky is incremented; ky is always # incremented by 1. kx = 1 ky = 1 ink = 1 k = 0 do i = 1,npd { ilst(i) = 0 } # Keeps a list of those points already added while(ky<=kdiv) { # to the new list. do i = 1,npd { if(ilst(i)==1) next # The i-th point has already been added # to the new list. # If the i-th point is in the current bin, add it to the list. xt = x(i) yt = y(i) ix = 1+(xt-xmin)/dw if(ix>kdiv) ix = kdiv jy = 1+(yt-ymin)/dh if(jy>kdiv) jy = kdiv if(ix==kx&jy==ky) { k = k+1 ind(i) = k # Index i is the pos'n. of (x,y) in the tx(k) = xt # old list; k is its pos'n. in the new one. ty(k) = yt ilst(i) = 1 # Cross the i-th point off the old list. } } # Move to the next bin. kc = kx+ink if((1<=kc)&(kc<=kdiv)) kx = kc else { ky = ky+1 ink = -ink } } # Check that all points from old list have been added to the new, # with no spurious additions. if(k!=npd) { nerror = 2 return } # Copy the new sorted vector back on top of the old ones. do i = 1,npd { x(i) = tx(i) y(i) = ty(i) } return end