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fixes #834 #1021

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Jul 7, 2024
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92 changes: 92 additions & 0 deletions xml/chapter3/section3/subsection2.xml
Original file line number Diff line number Diff line change
Expand Up @@ -951,6 +951,98 @@ print_queue(q); // prints: ["b", null]
All operations should be accomplished in
<LATEXINLINE>$\Theta(1)$</LATEXINLINE> steps.
<LABEL NAME="ex:deque"/>
<SOLUTION>
<SNIPPET>
<JAVASCRIPT>
// solution provided by GitHub user clean99
function make_deque() {
return pair(null, null);
}

function front_ptr(deque) {
return head(deque);
}

function rear_ptr(deque) {
return tail(deque);
}

function set_front_ptr(deque, item) {
set_head(deque, item);
}

function set_rear_ptr(deque, item) {
set_tail(deque, item);
}

function is_empty_deque(deque) {
return is_null(front_ptr(deque))
? true
: is_null(rear_ptr(deque))
? true
: false;
}

function is_one_item_deque(deque) {
return front_ptr(deque) === rear_ptr(deque);
}

function front_insert_deque(deque, item) {
// use another pair to store a forward pointer
const new_pair = pair(pair(item, null), null);
if (is_empty_deque(deque)) {
set_front_ptr(deque, new_pair);
set_rear_ptr(deque, new_pair);
} else {
set_tail(new_pair, front_ptr(deque));
// set forward pointer to new_pair
set_tail(head(front_ptr(deque)), new_pair);
set_front_ptr(deque, new_pair);
}
}

function front_delete_deque(deque) {
if (is_empty_deque(deque)) {
error(deque, "front_delete_deque called with an empty deque");
} else if(is_one_item_deque(deque)) {
set_front_ptr(deque, null);
set_rear_ptr(deque, null);
return deque;
} else {
set_front_ptr(deque, tail(front_ptr(deque)));
return deque;
}
}

function rear_insert_deque(deque, item) {
if (is_empty_deque(deque)) {
const new_pair = pair(pair(item, null), null);
set_front_ptr(deque, new_pair);
set_rear_ptr(deque, new_pair);
} else {
// set new_pair forward pointer to last item
const new_pair = pair(pair(item, rear_ptr(deque)), null);
set_tail(rear_ptr(deque), new_pair);
set_rear_ptr(deque, new_pair);
}
}

function rear_delete_deque(deque) {
if (is_empty_deque(deque)) {
error(deque, "rear_delete_deque called with an empty deque");
} else if(is_one_item_deque(deque)) {
set_front_ptr(deque, null);
set_rear_ptr(deque, null);
return deque;
} else {
// update rear_ptr to last item's forward pointer
set_rear_ptr(deque, tail(head(rear_ptr(deque))));
return deque;
}
}
</JAVASCRIPT>
</SNIPPET>
</SOLUTION>
</EXERCISE>
<INDEX>queue<CLOSE/></INDEX>
</SUBSECTION>
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