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# Source code for pydna.py_rstr_max.tools_karkkainen_sanders

    #! /usr/bin/python
    # -*- coding: utf-8 -*-
    from array import array

    def radixpass(a, b, r, s, n, k) :
      c = array("i", [0]*(k+1))
      for i in xrange(n) :
        c[r[a[i]+s]]+=1

      somme = 0
      for i in xrange(k+1):
        freq, c[i] = c[i], somme
        somme += freq

      for i in xrange(n) :
        b[c[r[a[i]+s]]] = a[i]
        c[r[a[i]+s]] += 1

    def simple_kark_sort(s) :
      alphabet = [None] + sorted(set(s))
      k = len(alphabet)
      t = dict((c, i) for i,c in enumerate(alphabet))
      n = len(s)
      SA = array('i', [0]*(n+3))
      s = array('i', [t[c] for c in s]+[0]*3)
      kark_sort(s, SA, n, k)
      return (s,SA)
    #  return (string, SA, length, k)

    def direct_kark_sort(s) :
      alphabet = [None] + sorted(set(s))
      k = len(alphabet)
      n = len(s)
      t = dict((c, i) for i,c in enumerate(alphabet))
      SA = array('i', [0]*(n+3))
      kark_sort(array('i', [t[c] for c in s]+[0]*3), SA, n, k)
      return SA[:n]

    def kark_sort(s, SA, n, K):
      n0  = (n+2) / 3
      n1  = (n+1) / 3
      n2  = n / 3
      n02 = n0 + n2

      SA12 = array('i', [0]*(n02+3))
      SA0  = array('i', [0]*n0)

      s12 = [i for i in xrange(n+(n0-n1)) if i%3]
      s12.extend([0]*3)
      s12 = array('i', s12)

      radixpass(s12, SA12, s, 2, n02, K)
      radixpass(SA12, s12, s, 1, n02, K)
      radixpass(s12, SA12, s, 0, n02, K)

      name = 0
      c0, c1, c2 = -1, -1, -1
      for i in xrange(n02) :
        if s[SA12[i]] != c0 or s[SA12[i]+1] != c1 or s[SA12[i]+2] != c2 :
          name += 1
          c0 = s[SA12[i]]
          c1 = s[SA12[i]+1]
          c2 = s[SA12[i]+2]
        if SA12[i] % 3 == 1 :
          s12[SA12[i]/3] = name
        else :
          s12[SA12[i]/3 + n0] = name

      if name < n02 :
        kark_sort(s12, SA12, n02, name+1)
        for i in xrange(n02) :
          s12[SA12[i]] = i+1
      else :
        for i in xrange(n02) :
          SA12[s12[i]-1] = i

      s0 = array('i',[SA12[i]*3 for i in xrange(n02) if SA12[i]<n0])
      radixpass(s0, SA0, s, 0, n0, K)

      p = j = k = 0
      t = n0 - n1
      while k < n :
        i = SA12[t]*3+1 if SA12[t]<n0 else (SA12[t] - n0)*3 + 2
        j = SA0[p] if p < n0 else 0

        if SA12[t] < n0 :
          test = (s12[SA12[t]+n0] <= s12[j/3]) if(s[i]==s[j]) else (s[i] < s[j])
        elif(s[i]==s[j]) :
          test = s12[SA12[t]-n0+1] <= s12[j/3 + n0] if(s[i+1]==s[j+1]) else s[i+1] < s[j+1]
        else :
          test = s[i] < s[j]

        if(test) :
          SA[k] = i
          t += 1
          if t == n02 :
            k += 1
            while p < n0 :
              SA[k] = SA0[p]
              p += 1
              k += 1

        else :
          SA[k] = j
          p += 1
          if p == n0 :
            k += 1
            while t < n02 :
              SA[k] = (SA12[t] * 3) + 1 if SA12[t] < n0 else ((SA12[t] - n0) * 3) + 2
              t += 1
              k += 1
        k += 1

    def LCP(s, suffix_array):
      n = len(s)
      init = [0]*n
      rank = array('i', init)
      LCP = array('i', init)
      for i in xrange(n):
        rank[suffix_array[i]] = i
      l = 0
      for j in xrange(n):
        l = max(0, l-1)
        i = rank[j]
        j2 = suffix_array[i-1]
        if i:
          while l + j < n and l + j2 < n and s[j+l] == s[j2+l]:
            l += 1
          LCP[i-1] = l
        else:
          l = 0
      return LCP

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