Pretty print of NumPy (and other) histograms to the console


Keywords
histogram, scikit-hep, terminal-graphics
License
MIT
Install
pip install histoprint==2.4.0

Documentation

histoprint - pretty print of NumPy (and other) histograms to the console

Scikit-HEP PyPI Conda-forge Zenodo-DOI

How does it work?

Histoprint uses a mix of terminal color codes and Unicode trickery (i.e. combining characters) to plot overlaying histograms. Some terminals are not able to display Unicode combining characters correctly. Histoprint can still be used in those terminals, but the character set needs to be constrained to the non-combining ones (see below).

Installation

$ python -m pip install histoprint
$ conda install -c conda-forge histoprint

Getting started

Basic examples:

import numpy as np
from histoprint import text_hist, print_hist

A = np.random.randn(1000) - 2
B = np.random.randn(1000)
C = np.random.randn(1000) + 2
D = np.random.randn(500) * 2

# text_hist is a thin wrapper for numpy.histogram
text_hist(
    B, bins=[-5, -3, -2, -1, -0.5, 0, 0.5, 1, 2, 3, 5], title="Variable bin widths"
)

histA = np.histogram(A, bins=15, range=(-5, 5))
histB = np.histogram(B, bins=15, range=(-5, 5))
histC = np.histogram(C, bins=15, range=(-5, 5))
histD = np.histogram(D, bins=15, range=(-5, 5))
histAll = ([histA[0], histB[0], histC[0], histD[0]], histA[1])

# print_hist can be used to print multiple histograms at once
# (or just to print a single one as returned by numpy.histogram)
print_hist(histAll, title="Overlays", labels="ABCDE")
print_hist(
    histAll,
    title="Stacks",
    stack=True,
    symbols="      ",
    bg_colors="rgbcmy",
    labels="ABCDE",
)
print_hist(
    histAll,
    title="Summaries",
    symbols=r"=|\/",
    fg_colors="0",
    bg_colors="0",
    labels=["AAAAAAAAAAAAAAAA", "B", "CCCCCCCCCCCCC", "D"],
    summary=True,
)

examples.png

The last example does not use terminal colors, so it can be copied as text:

                                   Summaries
-5.00e+00 _
-4.33e+00 _โ•โƒซ
-3.67e+00 _โ•โƒซโ•โƒซโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
-3.00e+00 _โ•โƒซโ•โƒซโ•โƒซโ•โƒซโ•โƒซโ•โƒซโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
-2.33e+00 _โ•ชโƒซโ•ชโƒซโ•โƒซโ•โƒซโ•โƒซโ•โƒซโ•โƒซโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
-1.67e+00 _โ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•โƒซโ•โƒซโ•โƒซโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
-1.00e+00 _โ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
-3.33e-01 _โ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
 3.33e-01 _โ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒฅโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ•ชโƒซโ”‚โƒซโ”‚โƒซโ”‚โƒซโ”‚โƒซโ”‚โƒซโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
 1.00e+00 _โ•ชโƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
 1.67e+00 _โ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅโ”‚โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ
 2.33e+00 _โ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโƒซโ”‚โƒฅโ”‚โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ
 3.00e+00 _โ”‚โƒฅโƒซโ”‚โƒฅโƒซ โƒฅโƒซ โƒฅโƒซ โƒฅโƒซ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ
 3.67e+00 _ โƒฅโƒซ โƒฅโƒซ โƒฅโƒซ โƒฅโƒซ โƒฅโƒซ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ
 4.33e+00 _ โƒฅโƒซ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ โƒฅ
 5.00e+00 _ โƒฅโƒซ โƒฅ
             โ•อ AAAAAAAAAAAAAAAA โ”‚อ B          โƒฅ CCCCCCCCCCCCC  โƒซ D
       Sum:  9.99e+02           1.00e+03    9.99e+02        4.92e+02
       Avg: -1.98e+00           1.13e-02    1.99e+00       -1.71e-01
       Std:  1.03e+00           1.03e+00    9.94e-01        2.00e+00

Support for other histogram types

Histoprint can directly plot other (more fancy) types of histograms if they follow the PlottableProtocol conventions, or offer a way of being converted to the NumPy format. Currently this means they have to expose a numpy() or to_numpy() method. Both the ROOT TH1 histograms of uproot4, as well as the histograms of boost-histogram, are supported:

import boost_histogram as bh
hist = bh.Histogram(bh.axis.Regular(20, -3, 3))
hist.fill(np.random.randn(1000))
print_hist(hist, title="Boost Histogram")

import uproot
file = uproot.open("http://scikit-hep.org/uproot3/examples/Event.root")
hist = file["htime"]
print_hist(hist, title="uproot TH1")

Disabling Unicode combining characters

Some terminals are not able to display Unicode combining characters correctly. To disable the use of combining characters, simply do not use them when calling print_hist:

print_hist(some_histograms, symbols=" =|")

The combining characters are / and \. Note that they are used in the default set of characters for the 4th and 5th histogram if they are present.

Command line interface

Histoprint also comes with a simple command-line interface to create histograms of tabulated data or even ROOT files (with the help of uproot). It can read in files or take data directly from STDIN:

$ histoprint --help
Usage: histoprint [OPTIONS] INFILE

  Read INFILE and print a histogram of the contained columns.

  INFILE can be '-', in which case the data is read from STDIN.

Options:
  -b, --bins TEXT                 Number of bins or space-separated bin edges.
  -t, --title TEXT                Title of the histogram.
  --stack / --nostack             Stack the histograms.
  -s, --summary / -S, --nosummary
                                  Print summary statistics.
  -l, --label TEXT                Labels for the data, one for each column.
  --symbols TEXT                  Symbol cycle for multiple histograms.
                                  Choices & default: ' |=/\'

  --fg-colors TEXT                Colour cycle for foreground colours.
                                  Default: 'WWWWW', Choices:
                                  '0rgbcmykwRGBCMYKW'

  --bg-colors TEXT                Colour cycle for background colours.
                                  Default: 'K0000', Choices:
                                  '0rgbcmykwRGBCMYKW'

  -f, --field TEXT                Which fields to histogram. Interpretation of
                                  the fields depends on the file format. TXT
                                  files only support integers for column
                                  numbers starting at 0. For CSV files, the
                                  fields must be the names of the columns as
                                  specified in the first line of the file.
                                  When plotting from ROOT files, at least one
                                  field must be specified. This can either be
                                  the path to a single TH1, or one or more
                                  paths to TTree branches. Also supports
                                  slicing of array-like branches, e.g. use
                                  'tree/branch[:,2]' to histogram the 3rd
                                  elements of a vector-like branch.

  -C, --cut TEXT                  Filter the data to be plotted by a cut
                                  condition. For ROOT files, variables must be
                                  referenced by their branch name within the
                                  TTree, e.g. 'momentum > 100.' rather than
                                  'tree/object/momentum > 100.'. For text
                                  files, the fields are referred to as
                                  'data[i]', where 'i' is the field number.
                                  The variables used in the cut do not have to
                                  be part of the plotted fields.

  -c, --columns INTEGER           Total width of the displayed histogram in
                                  characters. Defaults to width of the
                                  terminal.

  -r, --lines INTEGER             Approximate total height of the displayed
                                  histogram in characters. Calculated from
                                  number of columns by default.

  --version                       Show the version and exit.
  --help                          Show this message and exit.

$ histoprint -t "Title" -s -b "0.5 1.5 2.5 3.5 4.5" -l A -l B --fg-colors "0" --bg-colors "0" --symbols "|=" - <<EOF
1 2
2 3
2 3
2 nan
3 4
3 4
EOF
                                     Title
 5.00e-01 _
           โ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
 1.50e+00 _โ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
 2.50e+00 _โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อโ”‚อ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอ
           โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอ
 3.50e+00 _โ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอโ•ชอ
           โ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
           โ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
           โ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
 4.50e+00 _โ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อโ•อ
                               โ”‚อ A         โ•อ B
                         Tot:  6.00e+00    5.00e+00
                         Avg:  2.17e+00    3.20e+00
                         Std:  6.87e-01    7.48e-01