Executing function inside chroot in bash - linux

Question

What would be the ideal way to pass a function into a chroot from the host, in bash?
For example,
install_script () {
wget some_source_files && configure && make && make install
}
and,
some_command -v foo >/dev/null 2>&1 || install_script
but if i want to execute the same from the host into chroot, How do i go about doing it?
One way i can think of is to pass the function to a file inside the chrooted directory,
cat > $chrooted_dir/etc/install_script.sh <<"EOF"
#!/bin/bash
wget source_files ; ./configure ; make ; make install
EOF
and execute from host,
chroot $chrooted_dir /bin/bash "check_command || /etc/install_script.sh"
But i am wondering if there is a more elegant way to approach this? Ideally, i would like to execute the commands from a cript in the host and have some installation performed inside chroot system.
P.S: I would also appreciate of any relevant sources/links to understand bash handles function declarations and subsequent inherits on chrooting.

Answer 1

You can export functions and execute them in an inheriting shell:
install_func () {
wget some_source_files && configure && make && make install
}
export -f install_func
chroot "$chrooted_dir" /bin/bash -c "install_func"
The function will be turned into an environment variable with the name BASH_FUNC_install_func%%, which will be inherited and reinterpretted as a function by the chrooted bash.