as @dash-o recommended, a simple entry sequence ended with ENTER is the most simple approach:
#!/usr/bin/env sh
sum=0
echo "Please enter integer numbers to add, or just RETURN to end."
while read -r number && [ -n "$number" ]; do
if [ "$number" -eq "$number" ] 2>/dev/null; then
sum=$((sum + number))
echo "Sum is: $sum"
else
echo "$number is not a valid integer. Try again..." >&2
fi
done
Or to allow multiple integers entry per line:
#!/usr/bin/env sh
# Save the shell's options state
shelloptions="$(set +o)"
# Disable globbing to prevent filename expansion in parameters
set -o noglob
sum=0
echo "Please enter integer numbers to add, or RETURN to end."
# Read lines until empty REPLY
while read -r && [ -n "$REPLY" ]; do
# Split $REPLY as parameters
# Globbing is turned-off so filenames will not mess with entries
# shellcheck disable=SC2086 # Explicitly intended word splitting
set -- $REPLY
# Iterate numbers from the parameters array
for number in "$@"; do
# If $number is a valid integer
if [ "$number" -eq "$number" ] 2>/dev/null; then
sum=$((sum + number))
else
echo "$number is not a valid integer." >&2
fi
done
echo "Sum is: $sum"
done
# Restore the shell's options state
eval "$shelloptions"