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diff --git a/tests/sparsemv.at b/tests/sparsemv.at
new file mode 100644
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+++ b/tests/sparsemv.at
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+# Process this file with autom4te to create testsuite. -*- Autotest -*-
+
+# Test suite for GNU tar.
+# Copyright 2005-2008, 2013-2014, 2016 Free Software Foundation, Inc.
+
+# This file is part of GNU tar.
+
+# GNU tar is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 3 of the License, or
+# (at your option) any later version.
+
+# GNU tar is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License
+# along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+AT_SETUP([sparse files in MV archives])
+AT_KEYWORDS([sparse multiv sparsemv])
+
+# Check if sparse files are correctly split between GNU multi-volume
+# archives.
+# There are two cases: the file can be split within an empty (null) block,
+# or within a data block. Since null blocks are not archived, the first
+# case means the file is split between two consecutive data blocks.
+#
+
+AT_TAR_CHECK([
+exec <&-
+TAR_OPTIONS="$TAR_OPTIONS --hole-detection=raw"
+genfile --sparse --file sparsefile 0 ABCDEFGHIJK 1M ABCDEFGHI || AT_SKIP_TEST
+echo "Pass 1: Split between data blocks"
+echo "Create archive"
+tar --sparse -c --record-size=512 -M -L6 -f arc.1 -f arc.2 sparsefile || exit 1
+echo "Test archive"
+tar --record-size=512 -t -M -f arc.1 -f arc.2
+echo "Compare archive"
+tar --record-size=512 -d -M -f arc.1 -f arc.2
+
+echo "Pass 2: Split within a data block"
+genfile --sparse --file sparsefile 0 ABCDEFGHIJ 1M ABCDEFGHI || AT_SKIP_TEST
+echo "Create archive"
+tar --sparse -c --record-size=512 -M -L6 -f arc.1 -f arc.2 sparsefile || exit 1
+echo "Test archive"
+tar --record-size=512 -t -M -f arc.1 -f arc.2
+echo "Compare archive"
+tar --record-size=512 -d -M -f arc.1 -f arc.2
+],
+[0],
+[Pass 1: Split between data blocks
+Create archive
+Test archive
+sparsefile
+Compare archive
+Pass 2: Split within a data block
+Create archive
+Test archive
+sparsefile
+Compare archive
+],
+[],[],[],[gnu, oldgnu])
+
+AT_CLEANUP