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/usr/bin/gdalchksum.py is in python-gdal 1.11.3+dfsg-3build2.

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#! /usr/bin/python
#******************************************************************************
#  $Id: gdalchksum.py 18952 2010-02-28 11:59:53Z rouault $
# 
#  Project:  GDAL
#  Purpose:  Application to checksum a GDAL image file.
#  Author:   Frank Warmerdam, warmerdam@pobox.com
# 
#******************************************************************************
#  Copyright (c) 2003, Frank Warmerdam <warmerdam@pobox.com>
# 
#  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.
#******************************************************************************

try:
    from osgeo import gdal
except ImportError:
    import gdal

import sys

def Usage():
    print('Usage: gdalchksum.py [-b band] [-srcwin xoff yoff xsize ysize] file')
    sys.exit(1)

# =============================================================================
# 	Mainline
# =============================================================================

srcwin = None
bands = []

filename = None

gdal.AllRegister()
argv = gdal.GeneralCmdLineProcessor( sys.argv )
if argv is None:
    sys.exit( 0 )

# Parse command line arguments.
i = 1
while i < len(argv):
    arg = argv[i]

    if arg == '-b':
        i = i + 1
        bands.append( int(argv[i]) )

    elif arg == '-srcwin':
        srcwin = [int(argv[i+1]),int(argv[i+2]),
                  int(argv[i+3]),int(argv[i+3]) ]
        i = i + 4

    elif filename is None:
        filename = argv[i]

    else:
        Usage()

    i = i + 1

if filename is None:
    Usage()
    
# Open source file

ds = gdal.Open( filename )
if ds is None:
    print('Unable to open %s' % filename)
    sys.exit(1)

# Default values

if srcwin is None:
    srcwin = [ 0, 0, ds.RasterXSize, ds.RasterYSize ]

if len(bands) == 0:
    bands = list(range(1,(ds.RasterCount+1)))


# Generate checksums

for band_num in bands:
    oBand = ds.GetRasterBand( band_num )
    result = oBand.Checksum( srcwin[0], srcwin[1], srcwin[2], srcwin[3] )
    print(result)

ds = None