How to list all possibilities from recursive tree? - php

Question

I've got this initial data:
$h = [
'id' => 'h',
'name' => 'H',
'config' => [],
];
$g = [
'id' => 'g',
'name' => 'G',
'config' => [],
];
$f = [
'id' => 'f',
'name' => 'F',
'config' => [
[
['id' => $g['id'], 'quantity' => 1],
],
[
['id' => $h['id'], 'quantity' => 2],
],
],
];
$e = [
'id' => 'e',
'name' => 'E',
'config' => [],
];
$d = [
'id' => 'd',
'name' => 'D',
'config' => [
[
['id' => $e['id'], 'quantity' => 1],
['id' => $f['id'], 'quantity' => 3],
],
],
];
$c = [
'id' => 'c',
'name' => 'C',
'config' => [
[
['id' => $f['id'], 'quantity' => 1],
],
[
['id' => $e['id'], 'quantity' => 1],
],
],
];
$b = [
'id' => 'b',
'name' => 'B',
'config' => [
[
['id' => $c['id'], 'quantity' => 1],
],
],
];
$a = [
'id' => 'a',
'name' => 'A',
'config' => [
[
['id' => $d['id'], 'quantity' => 1],
],
[
['id' => $b['id'], 'quantity' => 1],
],
],
];
I will explain how "config" works:
it's an array of possibilities (OR) => for example from $c we can have $f OR $e
inside these possibilities there's an array of AND =>, for example, from $d we have only one possibility with $e AND $f
when the config is empty, it's a leaf so we can stop
and the tricky part (I think) is that we can have quantity inside each config which means from $f we can have $g once OR $h twice and from $d we have $e once AND $f 3 times
What I want to achieve with my algorithm is having output like this :
$possibilities = [
[
[
'id' => 'a',
...
],
[
'id' => 'b',
'parent' => 'a',
...
],
[
'id' => 'c',
'parent' => 'b',
...
],
[
'id' => 'f',
'parent' => 'c'
]
],
[
[
'id' => 'a',
...
],
[
'id' => 'b',
'parent' => 'a',
...
],
[
'id' => 'c',
'parent' => 'b',
...
],
[
'id' => 'e',
'parent' => 'c'
]
],
[
[
'id' => 'a',
...
],
[
'id' => 'd',
'parent' => 'a',
...
],
[
'id' => 'e',
'parent' => 'd',
...
],
[
'id' => 'f-1',
'parent' => 'd',
...
],
[
'id' => 'f-2',
'parent' => 'd',
...
],
[
'id' => 'f-3',
'parent' => 'd',
...
],
[
'id' => 'g',
'parent' => 'f-1',
...
],
[
'id' => 'g',
'parent' => 'f-2',
...
],
[
'id' => 'g',
'parent' => 'f-3',
...
]
],
...
];
So I want to extract and list any possibility and having the parent node (including its number in case quantity > 1)
So far I've tried something like this :
global $datas;
$datas = compact($a, $b, $c, $d, $e, $f, $g, $h);
function formatTree($tree)
{
if (empty($tree['config'])) {
return [$tree];
}
$config = $tree['config'];
unset($tree['config']);
$tree2 = [$tree];
foreach ($config as $item) {
$sub = formatTree($item);
$tree2 = array_merge($tree2, $sub);
}
return $tree2;
}
function preparePossibilities($item)
{
$possibilities = [];
if (empty($item['config'])) {
return [$item];
}
$config = $item['config'];
unset($item['config']);
foreach ($config as $or) {
$finalOr = [];
foreach ($or as $and) {
for ($i = 0; $i < ($and['quantity'] ?? 1); $i++) {
$finalOr[] = $and;
}
}
$item['config'] = $finalOr;
$possibilities[] = $item;
}
return $possibilities;
}
function are_same($trees)
{
$id = null;
foreach ($trees as $tree) {
$oldId = $id;
$id = $tree[0]['id'];
if (isset($oldId) && $oldId !== $id) {
return false;
}
}
return true;
}
function getAllTrees($id)
{
global $datas;
$data = current(array_filter($datas, static function ($d) use ($id) {
return $d['id'] === $id;
}));
$multiplePossibilities = preparePossibilities($data);
$allTrees = [];
foreach ($multiplePossibilities as $possibility) {
if (empty($possibility['config'])) {
return [$possibility];
}
$config = $possibility['config'];
unset($possibility['config']);
$trees = [];
foreach ($config as $i => $and) {
$subTrees = getAllTrees($and['id']);
foreach ($subTrees as $subTree) {
$trees[$i][] = $subTree;
}
}
$trees = array_values($trees);
if (count($trees) === 1) {
foreach ($trees as $tree) {
foreach ($tree as $t) {
$newP = $possibility;
$newP['config'] = [];
$newP['config'][] = $t;
$allTrees[] = $newP;
}
}
} elseif (are_same($trees)) {
$newP = $possibility;
$newP['config'] = $trees;
$allTrees[] = $newP;
} else {
$newP = $possibility;
$newP['config'] = [];
foreach ($trees as $tree) {
if (count($tree) === 1) {
$newP['config'][] = $tree[0];
} else {
foreach ($tree as $t) {
$p3 = $newP;
$p3['config'][] = $t;
$allTrees[] = $p3;
}
}
}
}
}
return $allTrees;
}
foreach (getAllTrees('a') as $tree) {
var_dump(formatTree($tree));
}
And the output is :
array(5) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(3) {
["id"]=>
string(1) "g"
["name"]=>
string(1) "G"
["config"]=>
array(0) {
}
}
}
array(6) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
[5]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
}
array(5) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(3) {
["id"]=>
string(1) "g"
["name"]=>
string(1) "G"
["config"]=>
array(0) {
}
}
}
array(6) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
[5]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
}
array(5) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(3) {
["id"]=>
string(1) "g"
["name"]=>
string(1) "G"
["config"]=>
array(0) {
}
}
}
array(6) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "d"
["name"]=>
string(1) "D"
}
[2]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
[5]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
}
array(5) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "b"
["name"]=>
string(1) "B"
}
[2]=>
array(2) {
["id"]=>
string(1) "c"
["name"]=>
string(1) "C"
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(3) {
["id"]=>
string(1) "g"
["name"]=>
string(1) "G"
["config"]=>
array(0) {
}
}
}
array(6) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "b"
["name"]=>
string(1) "B"
}
[2]=>
array(2) {
["id"]=>
string(1) "c"
["name"]=>
string(1) "C"
}
[3]=>
array(2) {
["id"]=>
string(1) "f"
["name"]=>
string(1) "F"
}
[4]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
[5]=>
array(1) {
[0]=>
array(3) {
["id"]=>
string(1) "h"
["name"]=>
string(1) "H"
["config"]=>
array(0) {
}
}
}
}
array(4) {
[0]=>
array(2) {
["id"]=>
string(1) "a"
["name"]=>
string(1) "A"
}
[1]=>
array(2) {
["id"]=>
string(1) "b"
["name"]=>
string(1) "B"
}
[2]=>
array(2) {
["id"]=>
string(1) "c"
["name"]=>
string(1) "C"
}
[3]=>
array(3) {
["id"]=>
string(1) "e"
["name"]=>
string(1) "E"
["config"]=>
array(0) {
}
}
}