xtile.py

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xtile summarizes a list of numbers as a list of percentiles, then a little horizontal tile chart. Can show 1,000,000s of numbers in a single line. For example:

   from xtile import xtile

   tiles, nums, table = xtile(r() for _ in range(1000))
   print("pretty",tiles,table)
   print("raw   ",nums)

   pretty |   --------        *       --------   | 0.105, 0.317, 0.521, 0.719, 0.905
   raw    [0.105, 0.317, 0.521, 0.719, 0.905]

Note xtile returns three things: the tile's chart, the nums in at the percentile breaks (all neatly justified) and the raw nums in a list if case you need them for some other purpose.

Xtiles

xtiles summarizes a list of lists of pairs of labels and numbers and present them in tile charts using the same horizontal scale for all numbers. For example:

   from xtile  import xtile, xtiles
   from random import random as r

   n = 100000
   s1= "s1",[r()**4/2      for _ in range(n)]
   s2= "s2",[r()**2        for _ in range(n)]
   s3= "s3",[r()**0.5*1.5  for _ in range(n)]
   s4= "s4",[r()**0.5*0.33 for _ in range(n)]
   for (a,b,c),d in xtiles([s1,s2,s3,s4]):
     print(a,c,":",d)

   # output:
   *  -----     |                           0.000, 0.004, 0.031, 0.120, 0.330 : s1
   | --  *-|                                0.104, 0.181, 0.234, 0.276, 0.313 : s4
   |-    *      --------     |              0.010, 0.090, 0.251, 0.492, 0.811 : s2
   |           ---------       *    ----  | 0.474, 0.819, 1.061, 1.256, 1.422 : s3

def xtiles(pairs, width=40,rnd=3,sigs=4,
           ntiles=5 # legal values are 4 or 5
         ):
  pairs = [(name,sorted(lst)) for name,lst in pairs]
  lo   = sorted(map(lambda z:z[1][ 0], pairs))[0]
  up   = sorted(map(lambda z:z[1][-1], pairs))[-1]
  mid  = 2 if ntiles==5 else 1
  pairs= [ (xtile(pair[1],lo=lo,up=up,width=width,rnd=rnd,sigs=sigs,ntiles=ntiles),
            pair[0])
           for pair in pairs]
  return sorted(pairs,
                key = lambda z:z[0][1][mid])

The xtile utility.

def xtile(lst,lo=None, up=None,rnd=3,ntiles=5,width=40,sigs=4):
  lst = sorted(lst)
  lo   = lst[0]  if lo is None else lo
  up   = lst[-1] if up is None else up
  ros  = lambda lst: [int(x) if rnd==0 else round(x,rnd)
                      for x in lst]
  r    = lambda n: int(n)         # round
  ok   = lambda z: max(0, min(len(lst) - 1, z))
  yth  = lambda y: lst[ ok(r(len(lst)*y)) ]  # yth percentile item
  pos  = lambda y: r((yth(y) - lo) / (up - lo + 0.00001) * width) # xth place   
  tiles= [" "] * width
  seen = []
  if ntiles==5:
    for z in range(pos(0.1), pos(0.3)): tiles[z] = "-"
    for z in range(pos(0.7), pos(0.9)): tiles[z] = "-"
    seen = [yth(z) for z in [0.1,0.3,0.5,0.7,0.9]]
  else:
    for z in range(pos(0.25), pos(0.75)): tiles[z] = "-"
    seen = [pos(z) for z in [0.25,0.5,0.75]]
  tiles[ pos(0) ] = "|"
  tiles[ pos(1) ] = "|"
  tiles[ pos(0.5) ] = "*"
  f="%%%s.%sf" % (sigs,rnd)
  return ''.join(tiles), ros(seen), ', '.join([f % n for n in seen])

Copyleft

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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xtile.py

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