Three reversals rotate an array right without a second array..
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 | <?php declare(strict_types=1); // Array Rotation by Reversal in PHP // // PURPOSE // Three reversals rotate an array right without a second array. // // METHOD // Normalize k modulo length. Reverse the whole array, then reverse the first k elements and // the remaining suffix. // // COMPLEXITY // O(n) time, O(1) auxiliary space. // // CONTRACT // k >= 0. Rotates right in place, returns 0. Empty input is valid. // Public APIs infer array lengths except in C, which accepts pointer/length pairs. Vertex // counts and matrix dimensions remain explicit. Arrays must contain signed 32-bit integers. // Sorted order, correct tree topology, and caller-owned data-structure invariants are // preconditions; checking them on every query would change query complexity. // Scalar and shape checks are included. Value-range checks are included where needed to // prevent invalid indexing or nontermination. Allocation sizes are capped at 4,000,000 // workspace entries. Arithmetic outside Python raises an error on 32-bit overflow; Python // uses arbitrary precision. Native allocation failures propagate. In-place outputs may be // partly updated after arithmetic failure. These are single-threaded, in-memory // implementations. // // LANGUAGE DETAILS // PHP 8.1+ on a 64-bit runtime: packed arrays, strict scalar types, read-only inputs by // value using copy-on-write, references only for outputs, and checked 32-bit arithmetic. // Invalid input and overflow throw exceptions. PHP arrays have higher overhead than native // packed buffers in C/Java. // // EXAMPLE // Expected return: 0. // Expected a after call: [4, 1, 2, 3]. // Run: php example.php // Tests for this exact source artifact run before publication. The accompanying source // archive includes unit cases, runtime results, and source hashes. function alg_require(bool $valid): void { if (!$valid) throw new InvalidArgumentException("invalid algorithm input"); } function alg_checked(int|float $v): int { if ($v < -2147483648 || $v > 2147483647 || floor($v) != $v) throw new OverflowException("32-bit result overflow"); return (int)$v; } function alg_add(int $a,int $b): int { return alg_checked($a+$b); } function alg_sub(int $a,int $b): int { return alg_checked($a-$b); } function alg_mul(int $a,int $b): int { return alg_checked($a*$b); } function alg_size(int $n): int { alg_require($n>=0 && $n<=4000000); return $n; } function rotate_right(array &$a, int $k): int { alg_require(array_is_list($a)); $n = count($a); alg_require((($n >= 0) && ($n <= 1000000))); alg_require((count($a) == $n)); alg_require(($k >= 0)); if (($n == 0)) { return 0; } $k = ($k % $n); $phase = 0; $left = 0; $right = 0; $temp = 0; while (($phase < 3)) { if (($phase == 0)) { $left = 0; $right = alg_sub($n, 1); } else { if (($phase == 1)) { $left = 0; $right = alg_sub($k, 1); } else { $left = $k; $right = alg_sub($n, 1); } } while (($left < $right)) { $temp = $a[$left]; $a[$left] = $a[$right]; $a[$right] = $temp; $left = alg_add($left, 1); $right = alg_sub($right, 1); } $phase = alg_add($phase, 1); } return 0; } $a = [1, 2, 3, 4]; $k = 1; $result = rotate_right($a, $k); echo $result, PHP_EOL; // Expected a: [4, 1, 2, 3] echo json_encode($a), PHP_EOL; |