Bash print call stack at ERR(trap)

At head of script file:

(CODE-1)
trap 'on_error "${FUNCNAME[@]} ${BASH_LINENO[@]} $LINENO"' ERR
trap 'on_exit' EXIT

Someone may wonder why don't write code like below because it is easier to handle arguments.

(CODE-2)
trap 'on_error "$LINENO ${FUNCNAME[@]} ${BASH_LINENO[@]}"' ERR
trap 'on_exit' EXIT

I don't know there is any documented information related with this. But, results of my experiments are saying that (CODE-2) doens't work as expected.
In case of (CODE-2), my test shows that only latest function-stack information is passed to 'on_error' trap function.
I don't have any idea about the reason. More investigation is required for this.
But anyway, (CODE-1) works well.
So, you can use those arguments to print function call stack at bash.
You may need to use 'BASH_SOURCE' array too, if your bash uses other files, too.



And there is one interesting case. See follow code.

<< Test environment >>
bash: GNU bash, version 4.3.46(1)-release (x86_64-pc-linux-gnu)
OS: Linux XXXX 4.4.0-64-generic #85-Ubuntu SMP Mon Feb 20 11:50:30 UTC 2017 x86_64 x86_64 x86_64 GNU/Linux

-------------------------- TEST-1 -----------------------------
<< a.sh >>
function on_err() {
    echo "error"
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

myval=$(echo u | grep p)  # global variable


$ bash -eE a.sh
error
exit

-------------------------- TEST-2 -----------------------------

<< a.sh >>
function on_err() {
    echo "error"
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

function f0() {
    local myval=$(echo u | grep p)  # local variable in function
}

f0

$ bash -eE a.sh
exit

---------------------------------------------------------------

Even if errtrace is enabled(-E option), 'error' is NOT printed at TEST-2.
Then, is this means 'ERR' is NOT trapped at TEST-2? That is, does 'on_err' not executed?
Let's have a look following code.

-------------------------- TEST-3 -----------------------------

<< a.sh >>
function on_err() {
    echo "error"
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

function f0() {
    myval=$(echo u | grep p)  # NOT local variable anymore.
}

f0

$ bash -eE a.sh
error
exit

-------------------------- TEST-4 -----------------------------

<< a.sh >>
function on_err() {
    echo "error" 1>&2  # echo to standard error.
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

function f0() {
    local myval=$(echo u | grep p)  # local variable
}

f0

$ bash -eE a.sh
error
exit

-------------------------- TEST-5 -----------------------------


function on_err() {
    echo "error" 1>&2  # echo to stderr
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

myval=$(echo u | grep p)  # assign to global variable.


$ bash -eE a.sh
error
error
exit


-------------------------- TEST-6 -----------------------------


function on_err() {
    true  # There is no echo
}

function on_exit() {
    echo "exit"
}

trap on_err ERR
trap on_exit EXIT

myval=$(echo u | grep p)  # asign to global variable


$ bash -eE a.sh
exit

---------------------------------------------------------------

It's very interesting, isn't it?
Further investigation will be continued for this issue.