On Ubuntu 20.04, the GCD computation in Singular 4.4.0 is occasionally very slow.

gcd.c

// This GCD occasionally (almost) freezes in Singular 4.4.0 on Ubuntu 20.04.

ring R = 0, (x1, x2, x3, x4, x5), dp;

poly p = 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poly q = 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poly r = gcd(p, q);

printf("%s", r);

exit;

Singular_GCD_README.md

chmod +x test.sh

Ubuntu 20.04

docker run -it --rm -v $PWD:/workspace ubuntu:20.04

apt-get update
DEBIAN_FRONTEND=noninteractive apt-get install -y singular-ui
cd /workspace
time ./test.sh

The above commands can also be used with Ubuntu 20.04 and 22.04 by simply changing the version number.

Latest version

docker run -it --rm -v $PWD:/workspace ubuntu:20.04

apt-get update
DEBIAN_FRONTEND=noninteractive apt-get install -y gnupg wget
wget ftp://jim.mathematik.uni-kl.de/repo/extra/gpg
apt-key add gpg
echo 'deb ftp://jim.mathematik.uni-kl.de/repo/ubuntu20 focal main' >>/etc/apt/sources.list
echo 'Dir::Bin::Methods::ftp "ftp";' >>/etc/apt/apt.conf.d/99local-ftp
apt-get update
DEBIAN_FRONTEND=noninteractive apt-get install -y singular41
cd /workspace
time ./test.sh

Increasing N

sed -i 's/^N=100$/N=1000/' test.sh

test.sh

#!/bin/bash
TIMEOUT=10
N=100

count=0
for ((i=1; i<=$N; i++)); do
  timeout $TIMEOUT Singular gcd.c
  if [ $? -eq 124 ]; then
    ((count++))
    echo "*** total timeouts: $count / $i"
  fi
done

echo "*** total timeouts: $count / $N"