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Yet another implementation that do not relies on external programs, in bash or ksh:

while IFS= read -r line; do 
  line="${line//[^\"]/}"
  echo ${#line}
done <input-file

Use line="${line//[^(]}"for counting (.

Yet another implementation that does not rely on external programs, in bash, zsh, yash and some implementations/versions of ksh:

while IFS= read -r line; do 
  line="${line//[!\"]/}"
  echo "${#line}"
done <input-file

Use line="${line//[!(]}"for counting (.

Yet another implementation that do not relies on external programs

while read line; do 
  line="${line//[^\"]}"
  echo ${#line}
done <input-file

Use line="${line//[^(]}"for counting (.

Yet another implementation that do not relies on external programs, in bash or ksh:

while IFS= read -r line; do 
  line="${line//[^\"]/}"
  echo ${#line}
done <input-file

Use line="${line//[^(]}"for counting (.

Yet another implementation that do not relies on external programs

while read line; do 
  line="${line//[^\"]}"
  echo ${#line}
done <input-file

Use line="${line//[^(]}"for counting (.

Yet another implementation that do not relies on external programs

while read line; do 
  line="${line//[^\"]}"
  echo ${#line}
done <input-file

Use line="${line//[^(]}"for counting (.