gravityview /
GravityView
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Fe', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -11,117 +11,117 @@ discard block |
||
| 11 | 11 | */ |
| 12 | 12 | class ParagonIE_Sodium_Core_Curve25519_Fe implements ArrayAccess |
| 13 | 13 | { |
| 14 | - /** |
|
| 15 | - * @var array<int, int> |
|
| 16 | - */ |
|
| 17 | - protected $container = array(); |
|
| 14 | + /** |
|
| 15 | + * @var array<int, int> |
|
| 16 | + */ |
|
| 17 | + protected $container = array(); |
|
| 18 | 18 | |
| 19 | - /** |
|
| 20 | - * @var int |
|
| 21 | - */ |
|
| 22 | - protected $size = 10; |
|
| 19 | + /** |
|
| 20 | + * @var int |
|
| 21 | + */ |
|
| 22 | + protected $size = 10; |
|
| 23 | 23 | |
| 24 | - /** |
|
| 25 | - * @internal You should not use this directly from another application |
|
| 26 | - * |
|
| 27 | - * @param array<int, int> $array |
|
| 28 | - * @param bool $save_indexes |
|
| 29 | - * @return self |
|
| 30 | - */ |
|
| 31 | - public static function fromArray($array, $save_indexes = null) |
|
| 32 | - { |
|
| 33 | - $count = count($array); |
|
| 34 | - if ($save_indexes) { |
|
| 35 | - $keys = array_keys($array); |
|
| 36 | - } else { |
|
| 37 | - $keys = range(0, $count - 1); |
|
| 38 | - } |
|
| 39 | - $array = array_values($array); |
|
| 40 | - /** @var array<int, int> $keys */ |
|
| 24 | + /** |
|
| 25 | + * @internal You should not use this directly from another application |
|
| 26 | + * |
|
| 27 | + * @param array<int, int> $array |
|
| 28 | + * @param bool $save_indexes |
|
| 29 | + * @return self |
|
| 30 | + */ |
|
| 31 | + public static function fromArray($array, $save_indexes = null) |
|
| 32 | + { |
|
| 33 | + $count = count($array); |
|
| 34 | + if ($save_indexes) { |
|
| 35 | + $keys = array_keys($array); |
|
| 36 | + } else { |
|
| 37 | + $keys = range(0, $count - 1); |
|
| 38 | + } |
|
| 39 | + $array = array_values($array); |
|
| 40 | + /** @var array<int, int> $keys */ |
|
| 41 | 41 | |
| 42 | - $obj = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | - if ($save_indexes) { |
|
| 44 | - for ($i = 0; $i < $count; ++$i) { |
|
| 45 | - $obj->offsetSet($keys[$i], $array[$i]); |
|
| 46 | - } |
|
| 47 | - } else { |
|
| 48 | - for ($i = 0; $i < $count; ++$i) { |
|
| 49 | - $obj->offsetSet($i, $array[$i]); |
|
| 50 | - } |
|
| 51 | - } |
|
| 52 | - return $obj; |
|
| 53 | - } |
|
| 42 | + $obj = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | + if ($save_indexes) { |
|
| 44 | + for ($i = 0; $i < $count; ++$i) { |
|
| 45 | + $obj->offsetSet($keys[$i], $array[$i]); |
|
| 46 | + } |
|
| 47 | + } else { |
|
| 48 | + for ($i = 0; $i < $count; ++$i) { |
|
| 49 | + $obj->offsetSet($i, $array[$i]); |
|
| 50 | + } |
|
| 51 | + } |
|
| 52 | + return $obj; |
|
| 53 | + } |
|
| 54 | 54 | |
| 55 | - /** |
|
| 56 | - * @internal You should not use this directly from another application |
|
| 57 | - * |
|
| 58 | - * @param int|null $offset |
|
| 59 | - * @param int $value |
|
| 60 | - * @return void |
|
| 61 | - * @psalm-suppress MixedArrayOffset |
|
| 62 | - */ |
|
| 63 | - #[ReturnTypeWillChange] |
|
| 64 | - public function offsetSet($offset, $value) |
|
| 65 | - { |
|
| 66 | - if (!is_int($value)) { |
|
| 67 | - throw new InvalidArgumentException('Expected an integer'); |
|
| 68 | - } |
|
| 69 | - if (is_null($offset)) { |
|
| 70 | - $this->container[] = $value; |
|
| 71 | - } else { |
|
| 72 | - $this->container[$offset] = $value; |
|
| 73 | - } |
|
| 74 | - } |
|
| 55 | + /** |
|
| 56 | + * @internal You should not use this directly from another application |
|
| 57 | + * |
|
| 58 | + * @param int|null $offset |
|
| 59 | + * @param int $value |
|
| 60 | + * @return void |
|
| 61 | + * @psalm-suppress MixedArrayOffset |
|
| 62 | + */ |
|
| 63 | + #[ReturnTypeWillChange] |
|
| 64 | + public function offsetSet($offset, $value) |
|
| 65 | + { |
|
| 66 | + if (!is_int($value)) { |
|
| 67 | + throw new InvalidArgumentException('Expected an integer'); |
|
| 68 | + } |
|
| 69 | + if (is_null($offset)) { |
|
| 70 | + $this->container[] = $value; |
|
| 71 | + } else { |
|
| 72 | + $this->container[$offset] = $value; |
|
| 73 | + } |
|
| 74 | + } |
|
| 75 | 75 | |
| 76 | - /** |
|
| 77 | - * @internal You should not use this directly from another application |
|
| 78 | - * |
|
| 79 | - * @param int $offset |
|
| 80 | - * @return bool |
|
| 81 | - * @psalm-suppress MixedArrayOffset |
|
| 82 | - */ |
|
| 83 | - #[ReturnTypeWillChange] |
|
| 84 | - public function offsetExists($offset) |
|
| 85 | - { |
|
| 86 | - return isset($this->container[$offset]); |
|
| 87 | - } |
|
| 76 | + /** |
|
| 77 | + * @internal You should not use this directly from another application |
|
| 78 | + * |
|
| 79 | + * @param int $offset |
|
| 80 | + * @return bool |
|
| 81 | + * @psalm-suppress MixedArrayOffset |
|
| 82 | + */ |
|
| 83 | + #[ReturnTypeWillChange] |
|
| 84 | + public function offsetExists($offset) |
|
| 85 | + { |
|
| 86 | + return isset($this->container[$offset]); |
|
| 87 | + } |
|
| 88 | 88 | |
| 89 | - /** |
|
| 90 | - * @internal You should not use this directly from another application |
|
| 91 | - * |
|
| 92 | - * @param int $offset |
|
| 93 | - * @return void |
|
| 94 | - * @psalm-suppress MixedArrayOffset |
|
| 95 | - */ |
|
| 96 | - #[ReturnTypeWillChange] |
|
| 97 | - public function offsetUnset($offset) |
|
| 98 | - { |
|
| 99 | - unset($this->container[$offset]); |
|
| 100 | - } |
|
| 89 | + /** |
|
| 90 | + * @internal You should not use this directly from another application |
|
| 91 | + * |
|
| 92 | + * @param int $offset |
|
| 93 | + * @return void |
|
| 94 | + * @psalm-suppress MixedArrayOffset |
|
| 95 | + */ |
|
| 96 | + #[ReturnTypeWillChange] |
|
| 97 | + public function offsetUnset($offset) |
|
| 98 | + { |
|
| 99 | + unset($this->container[$offset]); |
|
| 100 | + } |
|
| 101 | 101 | |
| 102 | - /** |
|
| 103 | - * @internal You should not use this directly from another application |
|
| 104 | - * |
|
| 105 | - * @param int $offset |
|
| 106 | - * @return int |
|
| 107 | - * @psalm-suppress MixedArrayOffset |
|
| 108 | - */ |
|
| 109 | - #[ReturnTypeWillChange] |
|
| 110 | - public function offsetGet($offset) |
|
| 111 | - { |
|
| 112 | - if (!isset($this->container[$offset])) { |
|
| 113 | - $this->container[$offset] = 0; |
|
| 114 | - } |
|
| 115 | - return (int) ($this->container[$offset]); |
|
| 116 | - } |
|
| 102 | + /** |
|
| 103 | + * @internal You should not use this directly from another application |
|
| 104 | + * |
|
| 105 | + * @param int $offset |
|
| 106 | + * @return int |
|
| 107 | + * @psalm-suppress MixedArrayOffset |
|
| 108 | + */ |
|
| 109 | + #[ReturnTypeWillChange] |
|
| 110 | + public function offsetGet($offset) |
|
| 111 | + { |
|
| 112 | + if (!isset($this->container[$offset])) { |
|
| 113 | + $this->container[$offset] = 0; |
|
| 114 | + } |
|
| 115 | + return (int) ($this->container[$offset]); |
|
| 116 | + } |
|
| 117 | 117 | |
| 118 | - /** |
|
| 119 | - * @internal You should not use this directly from another application |
|
| 120 | - * |
|
| 121 | - * @return array |
|
| 122 | - */ |
|
| 123 | - public function __debugInfo() |
|
| 124 | - { |
|
| 125 | - return array(implode(', ', $this->container)); |
|
| 126 | - } |
|
| 118 | + /** |
|
| 119 | + * @internal You should not use this directly from another application |
|
| 120 | + * |
|
| 121 | + * @return array |
|
| 122 | + */ |
|
| 123 | + public function __debugInfo() |
|
| 124 | + { |
|
| 125 | + return array(implode(', ', $this->container)); |
|
| 126 | + } |
|
| 127 | 127 | } |
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_H', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -11,1533 +11,1533 @@ discard block |
||
| 11 | 11 | */ |
| 12 | 12 | class ParagonIE_Sodium_Core_Curve25519_H extends ParagonIE_Sodium_Core_Util |
| 13 | 13 | { |
| 14 | - /** |
|
| 15 | - * See: libsodium's crypto_core/curve25519/ref10/base.h |
|
| 16 | - * |
|
| 17 | - * @var array<int, array<int, array<int, array<int, int>>>> Basically, int[32][8][3][10] |
|
| 18 | - */ |
|
| 19 | - protected static $base = array( |
|
| 20 | - array( |
|
| 21 | - array( |
|
| 22 | - array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), |
|
| 23 | - array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), |
|
| 24 | - array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), |
|
| 25 | - ), |
|
| 26 | - array( |
|
| 27 | - array(-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303), |
|
| 28 | - array(-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081), |
|
| 29 | - array(26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697), |
|
| 30 | - ), |
|
| 31 | - array( |
|
| 32 | - array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), |
|
| 33 | - array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), |
|
| 34 | - array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), |
|
| 35 | - ), |
|
| 36 | - array( |
|
| 37 | - array(-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540), |
|
| 38 | - array(23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397), |
|
| 39 | - array(7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325), |
|
| 40 | - ), |
|
| 41 | - array( |
|
| 42 | - array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), |
|
| 43 | - array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), |
|
| 44 | - array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), |
|
| 45 | - ), |
|
| 46 | - array( |
|
| 47 | - array(-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777), |
|
| 48 | - array(-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737), |
|
| 49 | - array(-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652), |
|
| 50 | - ), |
|
| 51 | - array( |
|
| 52 | - array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), |
|
| 53 | - array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), |
|
| 54 | - array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), |
|
| 55 | - ), |
|
| 56 | - array( |
|
| 57 | - array(14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726), |
|
| 58 | - array(-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955), |
|
| 59 | - array(27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425), |
|
| 60 | - ), |
|
| 61 | - ), |
|
| 62 | - array( |
|
| 63 | - array( |
|
| 64 | - array(-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171), |
|
| 65 | - array(27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510), |
|
| 66 | - array(17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660), |
|
| 67 | - ), |
|
| 68 | - array( |
|
| 69 | - array(-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639), |
|
| 70 | - array(29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963), |
|
| 71 | - array(5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950), |
|
| 72 | - ), |
|
| 73 | - array( |
|
| 74 | - array(-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568), |
|
| 75 | - array(12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335), |
|
| 76 | - array(25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628), |
|
| 77 | - ), |
|
| 78 | - array( |
|
| 79 | - array(-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007), |
|
| 80 | - array(-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772), |
|
| 81 | - array(-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653), |
|
| 82 | - ), |
|
| 83 | - array( |
|
| 84 | - array(2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567), |
|
| 85 | - array(13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686), |
|
| 86 | - array(21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372), |
|
| 87 | - ), |
|
| 88 | - array( |
|
| 89 | - array(-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887), |
|
| 90 | - array(-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954), |
|
| 91 | - array(-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953), |
|
| 92 | - ), |
|
| 93 | - array( |
|
| 94 | - array(24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833), |
|
| 95 | - array(-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532), |
|
| 96 | - array(-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876), |
|
| 97 | - ), |
|
| 98 | - array( |
|
| 99 | - array(2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268), |
|
| 100 | - array(33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214), |
|
| 101 | - array(1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038), |
|
| 102 | - ), |
|
| 103 | - ), |
|
| 104 | - array( |
|
| 105 | - array( |
|
| 106 | - array(6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800), |
|
| 107 | - array(4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645), |
|
| 108 | - array(-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664), |
|
| 109 | - ), |
|
| 110 | - array( |
|
| 111 | - array(1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933), |
|
| 112 | - array(-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182), |
|
| 113 | - array(-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222), |
|
| 114 | - ), |
|
| 115 | - array( |
|
| 116 | - array(-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991), |
|
| 117 | - array(20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880), |
|
| 118 | - array(9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092), |
|
| 119 | - ), |
|
| 120 | - array( |
|
| 121 | - array(-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295), |
|
| 122 | - array(19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788), |
|
| 123 | - array(8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553), |
|
| 124 | - ), |
|
| 125 | - array( |
|
| 126 | - array(-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026), |
|
| 127 | - array(11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347), |
|
| 128 | - array(-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033), |
|
| 129 | - ), |
|
| 130 | - array( |
|
| 131 | - array(-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395), |
|
| 132 | - array(-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278), |
|
| 133 | - array(1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890), |
|
| 134 | - ), |
|
| 135 | - array( |
|
| 136 | - array(32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995), |
|
| 137 | - array(-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596), |
|
| 138 | - array(-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891), |
|
| 139 | - ), |
|
| 140 | - array( |
|
| 141 | - array(31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060), |
|
| 142 | - array(11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608), |
|
| 143 | - array(-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606), |
|
| 144 | - ), |
|
| 145 | - ), |
|
| 146 | - array( |
|
| 147 | - array( |
|
| 148 | - array(7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389), |
|
| 149 | - array(-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016), |
|
| 150 | - array(-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341), |
|
| 151 | - ), |
|
| 152 | - array( |
|
| 153 | - array(-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505), |
|
| 154 | - array(14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553), |
|
| 155 | - array(-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655), |
|
| 156 | - ), |
|
| 157 | - array( |
|
| 158 | - array(15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220), |
|
| 159 | - array(12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631), |
|
| 160 | - array(-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099), |
|
| 161 | - ), |
|
| 162 | - array( |
|
| 163 | - array(26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556), |
|
| 164 | - array(14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749), |
|
| 165 | - array(236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930), |
|
| 166 | - ), |
|
| 167 | - array( |
|
| 168 | - array(1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391), |
|
| 169 | - array(5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253), |
|
| 170 | - array(20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066), |
|
| 171 | - ), |
|
| 172 | - array( |
|
| 173 | - array(24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958), |
|
| 174 | - array(-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082), |
|
| 175 | - array(-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383), |
|
| 176 | - ), |
|
| 177 | - array( |
|
| 178 | - array(-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521), |
|
| 179 | - array(-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807), |
|
| 180 | - array(23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948), |
|
| 181 | - ), |
|
| 182 | - array( |
|
| 183 | - array(9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134), |
|
| 184 | - array(-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455), |
|
| 185 | - array(27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629), |
|
| 186 | - ), |
|
| 187 | - ), |
|
| 188 | - array( |
|
| 189 | - array( |
|
| 190 | - array(-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069), |
|
| 191 | - array(-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746), |
|
| 192 | - array(24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919), |
|
| 193 | - ), |
|
| 194 | - array( |
|
| 195 | - array(11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837), |
|
| 196 | - array(8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906), |
|
| 197 | - array(-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771), |
|
| 198 | - ), |
|
| 199 | - array( |
|
| 200 | - array(-25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817), |
|
| 201 | - array(10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098), |
|
| 202 | - array(10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409), |
|
| 203 | - ), |
|
| 204 | - array( |
|
| 205 | - array(-12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504), |
|
| 206 | - array(-26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 15341279, 8373727), |
|
| 207 | - array(28685821, 7759505, -14378516, -12002860, -31971820, 4079242, 298136, -10232602, -2878207, 15190420), |
|
| 208 | - ), |
|
| 209 | - array( |
|
| 210 | - array(-32932876, 13806336, -14337485, -15794431, -24004620, 10940928, 8669718, 2742393, -26033313, -6875003), |
|
| 211 | - array(-1580388, -11729417, -25979658, -11445023, -17411874, -10912854, 9291594, -16247779, -12154742, 6048605), |
|
| 212 | - array(-30305315, 14843444, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 11213262, 9168384), |
|
| 213 | - ), |
|
| 214 | - array( |
|
| 215 | - array(-26280513, 11007847, 19408960, -940758, -18592965, -4328580, -5088060, -11105150, 20470157, -16398701), |
|
| 216 | - array(-23136053, 9282192, 14855179, -15390078, -7362815, -14408560, -22783952, 14461608, 14042978, 5230683), |
|
| 217 | - array(29969567, -2741594, -16711867, -8552442, 9175486, -2468974, 21556951, 3506042, -5933891, -12449708), |
|
| 218 | - ), |
|
| 219 | - array( |
|
| 220 | - array(-3144746, 8744661, 19704003, 4581278, -20430686, 6830683, -21284170, 8971513, -28539189, 15326563), |
|
| 221 | - array(-19464629, 10110288, -17262528, -3503892, -23500387, 1355669, -15523050, 15300988, -20514118, 9168260), |
|
| 222 | - array(-5353335, 4488613, -23803248, 16314347, 7780487, -15638939, -28948358, 9601605, 33087103, -9011387), |
|
| 223 | - ), |
|
| 224 | - array( |
|
| 225 | - array(-19443170, -15512900, -20797467, -12445323, -29824447, 10229461, -27444329, -15000531, -5996870, 15664672), |
|
| 226 | - array(23294591, -16632613, -22650781, -8470978, 27844204, 11461195, 13099750, -2460356, 18151676, 13417686), |
|
| 227 | - array(-24722913, -4176517, -31150679, 5988919, -26858785, 6685065, 1661597, -12551441, 15271676, -15452665), |
|
| 228 | - ), |
|
| 229 | - ), |
|
| 230 | - array( |
|
| 231 | - array( |
|
| 232 | - array(11433042, -13228665, 8239631, -5279517, -1985436, -725718, -18698764, 2167544, -6921301, -13440182), |
|
| 233 | - array(-31436171, 15575146, 30436815, 12192228, -22463353, 9395379, -9917708, -8638997, 12215110, 12028277), |
|
| 234 | - array(14098400, 6555944, 23007258, 5757252, -15427832, -12950502, 30123440, 4617780, -16900089, -655628), |
|
| 235 | - ), |
|
| 236 | - array( |
|
| 237 | - array(-4026201, -15240835, 11893168, 13718664, -14809462, 1847385, -15819999, 10154009, 23973261, -12684474), |
|
| 238 | - array(-26531820, -3695990, -1908898, 2534301, -31870557, -16550355, 18341390, -11419951, 32013174, -10103539), |
|
| 239 | - array(-25479301, 10876443, -11771086, -14625140, -12369567, 1838104, 21911214, 6354752, 4425632, -837822), |
|
| 240 | - ), |
|
| 241 | - array( |
|
| 242 | - array(-10433389, -14612966, 22229858, -3091047, -13191166, 776729, -17415375, -12020462, 4725005, 14044970), |
|
| 243 | - array(19268650, -7304421, 1555349, 8692754, -21474059, -9910664, 6347390, -1411784, -19522291, -16109756), |
|
| 244 | - array(-24864089, 12986008, -10898878, -5558584, -11312371, -148526, 19541418, 8180106, 9282262, 10282508), |
|
| 245 | - ), |
|
| 246 | - array( |
|
| 247 | - array(-26205082, 4428547, -8661196, -13194263, 4098402, -14165257, 15522535, 8372215, 5542595, -10702683), |
|
| 248 | - array(-10562541, 14895633, 26814552, -16673850, -17480754, -2489360, -2781891, 6993761, -18093885, 10114655), |
|
| 249 | - array(-20107055, -929418, 31422704, 10427861, -7110749, 6150669, -29091755, -11529146, 25953725, -106158), |
|
| 250 | - ), |
|
| 251 | - array( |
|
| 252 | - array(-4234397, -8039292, -9119125, 3046000, 2101609, -12607294, 19390020, 6094296, -3315279, 12831125), |
|
| 253 | - array(-15998678, 7578152, 5310217, 14408357, -33548620, -224739, 31575954, 6326196, 7381791, -2421839), |
|
| 254 | - array(-20902779, 3296811, 24736065, -16328389, 18374254, 7318640, 6295303, 8082724, -15362489, 12339664), |
|
| 255 | - ), |
|
| 256 | - array( |
|
| 257 | - array(27724736, 2291157, 6088201, -14184798, 1792727, 5857634, 13848414, 15768922, 25091167, 14856294), |
|
| 258 | - array(-18866652, 8331043, 24373479, 8541013, -701998, -9269457, 12927300, -12695493, -22182473, -9012899), |
|
| 259 | - array(-11423429, -5421590, 11632845, 3405020, 30536730, -11674039, -27260765, 13866390, 30146206, 9142070), |
|
| 260 | - ), |
|
| 261 | - array( |
|
| 262 | - array(3924129, -15307516, -13817122, -10054960, 12291820, -668366, -27702774, 9326384, -8237858, 4171294), |
|
| 263 | - array(-15921940, 16037937, 6713787, 16606682, -21612135, 2790944, 26396185, 3731949, 345228, -5462949), |
|
| 264 | - array(-21327538, 13448259, 25284571, 1143661, 20614966, -8849387, 2031539, -12391231, -16253183, -13582083), |
|
| 265 | - ), |
|
| 266 | - array( |
|
| 267 | - array(31016211, -16722429, 26371392, -14451233, -5027349, 14854137, 17477601, 3842657, 28012650, -16405420), |
|
| 268 | - array(-5075835, 9368966, -8562079, -4600902, -15249953, 6970560, -9189873, 16292057, -8867157, 3507940), |
|
| 269 | - array(29439664, 3537914, 23333589, 6997794, -17555561, -11018068, -15209202, -15051267, -9164929, 6580396), |
|
| 270 | - ), |
|
| 271 | - ), |
|
| 272 | - array( |
|
| 273 | - array( |
|
| 274 | - array(-12185861, -7679788, 16438269, 10826160, -8696817, -6235611, 17860444, -9273846, -2095802, 9304567), |
|
| 275 | - array(20714564, -4336911, 29088195, 7406487, 11426967, -5095705, 14792667, -14608617, 5289421, -477127), |
|
| 276 | - array(-16665533, -10650790, -6160345, -13305760, 9192020, -1802462, 17271490, 12349094, 26939669, -3752294), |
|
| 277 | - ), |
|
| 278 | - array( |
|
| 279 | - array(-12889898, 9373458, 31595848, 16374215, 21471720, 13221525, -27283495, -12348559, -3698806, 117887), |
|
| 280 | - array(22263325, -6560050, 3984570, -11174646, -15114008, -566785, 28311253, 5358056, -23319780, 541964), |
|
| 281 | - array(16259219, 3261970, 2309254, -15534474, -16885711, -4581916, 24134070, -16705829, -13337066, -13552195), |
|
| 282 | - ), |
|
| 283 | - array( |
|
| 284 | - array(9378160, -13140186, -22845982, -12745264, 28198281, -7244098, -2399684, -717351, 690426, 14876244), |
|
| 285 | - array(24977353, -314384, -8223969, -13465086, 28432343, -1176353, -13068804, -12297348, -22380984, 6618999), |
|
| 286 | - array(-1538174, 11685646, 12944378, 13682314, -24389511, -14413193, 8044829, -13817328, 32239829, -5652762), |
|
| 287 | - ), |
|
| 288 | - array( |
|
| 289 | - array(-18603066, 4762990, -926250, 8885304, -28412480, -3187315, 9781647, -10350059, 32779359, 5095274), |
|
| 290 | - array(-33008130, -5214506, -32264887, -3685216, 9460461, -9327423, -24601656, 14506724, 21639561, -2630236), |
|
| 291 | - array(-16400943, -13112215, 25239338, 15531969, 3987758, -4499318, -1289502, -6863535, 17874574, 558605), |
|
| 292 | - ), |
|
| 293 | - array( |
|
| 294 | - array(-13600129, 10240081, 9171883, 16131053, -20869254, 9599700, 33499487, 5080151, 2085892, 5119761), |
|
| 295 | - array(-22205145, -2519528, -16381601, 414691, -25019550, 2170430, 30634760, -8363614, -31999993, -5759884), |
|
| 296 | - array(-6845704, 15791202, 8550074, -1312654, 29928809, -12092256, 27534430, -7192145, -22351378, 12961482), |
|
| 297 | - ), |
|
| 298 | - array( |
|
| 299 | - array(-24492060, -9570771, 10368194, 11582341, -23397293, -2245287, 16533930, 8206996, -30194652, -5159638), |
|
| 300 | - array(-11121496, -3382234, 2307366, 6362031, -135455, 8868177, -16835630, 7031275, 7589640, 8945490), |
|
| 301 | - array(-32152748, 8917967, 6661220, -11677616, -1192060, -15793393, 7251489, -11182180, 24099109, -14456170), |
|
| 302 | - ), |
|
| 303 | - array( |
|
| 304 | - array(5019558, -7907470, 4244127, -14714356, -26933272, 6453165, -19118182, -13289025, -6231896, -10280736), |
|
| 305 | - array(10853594, 10721687, 26480089, 5861829, -22995819, 1972175, -1866647, -10557898, -3363451, -6441124), |
|
| 306 | - array(-17002408, 5906790, 221599, -6563147, 7828208, -13248918, 24362661, -2008168, -13866408, 7421392), |
|
| 307 | - ), |
|
| 308 | - array( |
|
| 309 | - array(8139927, -6546497, 32257646, -5890546, 30375719, 1886181, -21175108, 15441252, 28826358, -4123029), |
|
| 310 | - array(6267086, 9695052, 7709135, -16603597, -32869068, -1886135, 14795160, -7840124, 13746021, -1742048), |
|
| 311 | - array(28584902, 7787108, -6732942, -15050729, 22846041, -7571236, -3181936, -363524, 4771362, -8419958), |
|
| 312 | - ), |
|
| 313 | - ), |
|
| 314 | - array( |
|
| 315 | - array( |
|
| 316 | - array(24949256, 6376279, -27466481, -8174608, -18646154, -9930606, 33543569, -12141695, 3569627, 11342593), |
|
| 317 | - array(26514989, 4740088, 27912651, 3697550, 19331575, -11472339, 6809886, 4608608, 7325975, -14801071), |
|
| 318 | - array(-11618399, -14554430, -24321212, 7655128, -1369274, 5214312, -27400540, 10258390, -17646694, -8186692), |
|
| 319 | - ), |
|
| 320 | - array( |
|
| 321 | - array(11431204, 15823007, 26570245, 14329124, 18029990, 4796082, -31446179, 15580664, 9280358, -3973687), |
|
| 322 | - array(-160783, -10326257, -22855316, -4304997, -20861367, -13621002, -32810901, -11181622, -15545091, 4387441), |
|
| 323 | - array(-20799378, 12194512, 3937617, -5805892, -27154820, 9340370, -24513992, 8548137, 20617071, -7482001), |
|
| 324 | - ), |
|
| 325 | - array( |
|
| 326 | - array(-938825, -3930586, -8714311, 16124718, 24603125, -6225393, -13775352, -11875822, 24345683, 10325460), |
|
| 327 | - array(-19855277, -1568885, -22202708, 8714034, 14007766, 6928528, 16318175, -1010689, 4766743, 3552007), |
|
| 328 | - array(-21751364, -16730916, 1351763, -803421, -4009670, 3950935, 3217514, 14481909, 10988822, -3994762), |
|
| 329 | - ), |
|
| 330 | - array( |
|
| 331 | - array(15564307, -14311570, 3101243, 5684148, 30446780, -8051356, 12677127, -6505343, -8295852, 13296005), |
|
| 332 | - array(-9442290, 6624296, -30298964, -11913677, -4670981, -2057379, 31521204, 9614054, -30000824, 12074674), |
|
| 333 | - array(4771191, -135239, 14290749, -13089852, 27992298, 14998318, -1413936, -1556716, 29832613, -16391035), |
|
| 334 | - ), |
|
| 335 | - array( |
|
| 336 | - array(7064884, -7541174, -19161962, -5067537, -18891269, -2912736, 25825242, 5293297, -27122660, 13101590), |
|
| 337 | - array(-2298563, 2439670, -7466610, 1719965, -27267541, -16328445, 32512469, -5317593, -30356070, -4190957), |
|
| 338 | - array(-30006540, 10162316, -33180176, 3981723, -16482138, -13070044, 14413974, 9515896, 19568978, 9628812), |
|
| 339 | - ), |
|
| 340 | - array( |
|
| 341 | - array(33053803, 199357, 15894591, 1583059, 27380243, -4580435, -17838894, -6106839, -6291786, 3437740), |
|
| 342 | - array(-18978877, 3884493, 19469877, 12726490, 15913552, 13614290, -22961733, 70104, 7463304, 4176122), |
|
| 343 | - array(-27124001, 10659917, 11482427, -16070381, 12771467, -6635117, -32719404, -5322751, 24216882, 5944158), |
|
| 344 | - ), |
|
| 345 | - array( |
|
| 346 | - array(8894125, 7450974, -2664149, -9765752, -28080517, -12389115, 19345746, 14680796, 11632993, 5847885), |
|
| 347 | - array(26942781, -2315317, 9129564, -4906607, 26024105, 11769399, -11518837, 6367194, -9727230, 4782140), |
|
| 348 | - array(19916461, -4828410, -22910704, -11414391, 25606324, -5972441, 33253853, 8220911, 6358847, -1873857), |
|
| 349 | - ), |
|
| 350 | - array( |
|
| 351 | - array(801428, -2081702, 16569428, 11065167, 29875704, 96627, 7908388, -4480480, -13538503, 1387155), |
|
| 352 | - array(19646058, 5720633, -11416706, 12814209, 11607948, 12749789, 14147075, 15156355, -21866831, 11835260), |
|
| 353 | - array(19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869, -26560550, 5052483), |
|
| 354 | - ), |
|
| 355 | - ), |
|
| 356 | - array( |
|
| 357 | - array( |
|
| 358 | - array(-3017432, 10058206, 1980837, 3964243, 22160966, 12322533, -6431123, -12618185, 12228557, -7003677), |
|
| 359 | - array(32944382, 14922211, -22844894, 5188528, 21913450, -8719943, 4001465, 13238564, -6114803, 8653815), |
|
| 360 | - array(22865569, -4652735, 27603668, -12545395, 14348958, 8234005, 24808405, 5719875, 28483275, 2841751), |
|
| 361 | - ), |
|
| 362 | - array( |
|
| 363 | - array(-16420968, -1113305, -327719, -12107856, 21886282, -15552774, -1887966, -315658, 19932058, -12739203), |
|
| 364 | - array(-11656086, 10087521, -8864888, -5536143, -19278573, -3055912, 3999228, 13239134, -4777469, -13910208), |
|
| 365 | - array(1382174, -11694719, 17266790, 9194690, -13324356, 9720081, 20403944, 11284705, -14013818, 3093230), |
|
| 366 | - ), |
|
| 367 | - array( |
|
| 368 | - array(16650921, -11037932, -1064178, 1570629, -8329746, 7352753, -302424, 16271225, -24049421, -6691850), |
|
| 369 | - array(-21911077, -5927941, -4611316, -5560156, -31744103, -10785293, 24123614, 15193618, -21652117, -16739389), |
|
| 370 | - array(-9935934, -4289447, -25279823, 4372842, 2087473, 10399484, 31870908, 14690798, 17361620, 11864968), |
|
| 371 | - ), |
|
| 372 | - array( |
|
| 373 | - array(-11307610, 6210372, 13206574, 5806320, -29017692, -13967200, -12331205, -7486601, -25578460, -16240689), |
|
| 374 | - array(14668462, -12270235, 26039039, 15305210, 25515617, 4542480, 10453892, 6577524, 9145645, -6443880), |
|
| 375 | - array(5974874, 3053895, -9433049, -10385191, -31865124, 3225009, -7972642, 3936128, -5652273, -3050304), |
|
| 376 | - ), |
|
| 377 | - array( |
|
| 378 | - array(30625386, -4729400, -25555961, -12792866, -20484575, 7695099, 17097188, -16303496, -27999779, 1803632), |
|
| 379 | - array(-3553091, 9865099, -5228566, 4272701, -5673832, -16689700, 14911344, 12196514, -21405489, 7047412), |
|
| 380 | - array(20093277, 9920966, -11138194, -5343857, 13161587, 12044805, -32856851, 4124601, -32343828, -10257566), |
|
| 381 | - ), |
|
| 382 | - array( |
|
| 383 | - array(-20788824, 14084654, -13531713, 7842147, 19119038, -13822605, 4752377, -8714640, -21679658, 2288038), |
|
| 384 | - array(-26819236, -3283715, 29965059, 3039786, -14473765, 2540457, 29457502, 14625692, -24819617, 12570232), |
|
| 385 | - array(-1063558, -11551823, 16920318, 12494842, 1278292, -5869109, -21159943, -3498680, -11974704, 4724943), |
|
| 386 | - ), |
|
| 387 | - array( |
|
| 388 | - array(17960970, -11775534, -4140968, -9702530, -8876562, -1410617, -12907383, -8659932, -29576300, 1903856), |
|
| 389 | - array(23134274, -14279132, -10681997, -1611936, 20684485, 15770816, -12989750, 3190296, 26955097, 14109738), |
|
| 390 | - array(15308788, 5320727, -30113809, -14318877, 22902008, 7767164, 29425325, -11277562, 31960942, 11934971), |
|
| 391 | - ), |
|
| 392 | - array( |
|
| 393 | - array(-27395711, 8435796, 4109644, 12222639, -24627868, 14818669, 20638173, 4875028, 10491392, 1379718), |
|
| 394 | - array(-13159415, 9197841, 3875503, -8936108, -1383712, -5879801, 33518459, 16176658, 21432314, 12180697), |
|
| 395 | - array(-11787308, 11500838, 13787581, -13832590, -22430679, 10140205, 1465425, 12689540, -10301319, -13872883), |
|
| 396 | - ), |
|
| 397 | - ), |
|
| 398 | - array( |
|
| 399 | - array( |
|
| 400 | - array(5414091, -15386041, -21007664, 9643570, 12834970, 1186149, -2622916, -1342231, 26128231, 6032912), |
|
| 401 | - array(-26337395, -13766162, 32496025, -13653919, 17847801, -12669156, 3604025, 8316894, -25875034, -10437358), |
|
| 402 | - array(3296484, 6223048, 24680646, -12246460, -23052020, 5903205, -8862297, -4639164, 12376617, 3188849), |
|
| 403 | - ), |
|
| 404 | - array( |
|
| 405 | - array(29190488, -14659046, 27549113, -1183516, 3520066, -10697301, 32049515, -7309113, -16109234, -9852307), |
|
| 406 | - array(-14744486, -9309156, 735818, -598978, -20407687, -5057904, 25246078, -15795669, 18640741, -960977), |
|
| 407 | - array(-6928835, -16430795, 10361374, 5642961, 4910474, 12345252, -31638386, -494430, 10530747, 1053335), |
|
| 408 | - ), |
|
| 409 | - array( |
|
| 410 | - array(-29265967, -14186805, -13538216, -12117373, -19457059, -10655384, -31462369, -2948985, 24018831, 15026644), |
|
| 411 | - array(-22592535, -3145277, -2289276, 5953843, -13440189, 9425631, 25310643, 13003497, -2314791, -15145616), |
|
| 412 | - array(-27419985, -603321, -8043984, -1669117, -26092265, 13987819, -27297622, 187899, -23166419, -2531735), |
|
| 413 | - ), |
|
| 414 | - array( |
|
| 415 | - array(-21744398, -13810475, 1844840, 5021428, -10434399, -15911473, 9716667, 16266922, -5070217, 726099), |
|
| 416 | - array(29370922, -6053998, 7334071, -15342259, 9385287, 2247707, -13661962, -4839461, 30007388, -15823341), |
|
| 417 | - array(-936379, 16086691, 23751945, -543318, -1167538, -5189036, 9137109, 730663, 9835848, 4555336), |
|
| 418 | - ), |
|
| 419 | - array( |
|
| 420 | - array(-23376435, 1410446, -22253753, -12899614, 30867635, 15826977, 17693930, 544696, -11985298, 12422646), |
|
| 421 | - array(31117226, -12215734, -13502838, 6561947, -9876867, -12757670, -5118685, -4096706, 29120153, 13924425), |
|
| 422 | - array(-17400879, -14233209, 19675799, -2734756, -11006962, -5858820, -9383939, -11317700, 7240931, -237388), |
|
| 423 | - ), |
|
| 424 | - array( |
|
| 425 | - array(-31361739, -11346780, -15007447, -5856218, -22453340, -12152771, 1222336, 4389483, 3293637, -15551743), |
|
| 426 | - array(-16684801, -14444245, 11038544, 11054958, -13801175, -3338533, -24319580, 7733547, 12796905, -6335822), |
|
| 427 | - array(-8759414, -10817836, -25418864, 10783769, -30615557, -9746811, -28253339, 3647836, 3222231, -11160462), |
|
| 428 | - ), |
|
| 429 | - array( |
|
| 430 | - array(18606113, 1693100, -25448386, -15170272, 4112353, 10045021, 23603893, -2048234, -7550776, 2484985), |
|
| 431 | - array(9255317, -3131197, -12156162, -1004256, 13098013, -9214866, 16377220, -2102812, -19802075, -3034702), |
|
| 432 | - array(-22729289, 7496160, -5742199, 11329249, 19991973, -3347502, -31718148, 9936966, -30097688, -10618797), |
|
| 433 | - ), |
|
| 434 | - array( |
|
| 435 | - array(21878590, -5001297, 4338336, 13643897, -3036865, 13160960, 19708896, 5415497, -7360503, -4109293), |
|
| 436 | - array(27736861, 10103576, 12500508, 8502413, -3413016, -9633558, 10436918, -1550276, -23659143, -8132100), |
|
| 437 | - array(19492550, -12104365, -29681976, -852630, -3208171, 12403437, 30066266, 8367329, 13243957, 8709688), |
|
| 438 | - ), |
|
| 439 | - ), |
|
| 440 | - array( |
|
| 441 | - array( |
|
| 442 | - array(12015105, 2801261, 28198131, 10151021, 24818120, -4743133, -11194191, -5645734, 5150968, 7274186), |
|
| 443 | - array(2831366, -12492146, 1478975, 6122054, 23825128, -12733586, 31097299, 6083058, 31021603, -9793610), |
|
| 444 | - array(-2529932, -2229646, 445613, 10720828, -13849527, -11505937, -23507731, 16354465, 15067285, -14147707), |
|
| 445 | - ), |
|
| 446 | - array( |
|
| 447 | - array(7840942, 14037873, -33364863, 15934016, -728213, -3642706, 21403988, 1057586, -19379462, -12403220), |
|
| 448 | - array(915865, -16469274, 15608285, -8789130, -24357026, 6060030, -17371319, 8410997, -7220461, 16527025), |
|
| 449 | - array(32922597, -556987, 20336074, -16184568, 10903705, -5384487, 16957574, 52992, 23834301, 6588044), |
|
| 450 | - ), |
|
| 451 | - array( |
|
| 452 | - array(32752030, 11232950, 3381995, -8714866, 22652988, -10744103, 17159699, 16689107, -20314580, -1305992), |
|
| 453 | - array(-4689649, 9166776, -25710296, -10847306, 11576752, 12733943, 7924251, -2752281, 1976123, -7249027), |
|
| 454 | - array(21251222, 16309901, -2983015, -6783122, 30810597, 12967303, 156041, -3371252, 12331345, -8237197), |
|
| 455 | - ), |
|
| 456 | - array( |
|
| 457 | - array(8651614, -4477032, -16085636, -4996994, 13002507, 2950805, 29054427, -5106970, 10008136, -4667901), |
|
| 458 | - array(31486080, 15114593, -14261250, 12951354, 14369431, -7387845, 16347321, -13662089, 8684155, -10532952), |
|
| 459 | - array(19443825, 11385320, 24468943, -9659068, -23919258, 2187569, -26263207, -6086921, 31316348, 14219878), |
|
| 460 | - ), |
|
| 461 | - array( |
|
| 462 | - array(-28594490, 1193785, 32245219, 11392485, 31092169, 15722801, 27146014, 6992409, 29126555, 9207390), |
|
| 463 | - array(32382935, 1110093, 18477781, 11028262, -27411763, -7548111, -4980517, 10843782, -7957600, -14435730), |
|
| 464 | - array(2814918, 7836403, 27519878, -7868156, -20894015, -11553689, -21494559, 8550130, 28346258, 1994730), |
|
| 465 | - ), |
|
| 466 | - array( |
|
| 467 | - array(-19578299, 8085545, -14000519, -3948622, 2785838, -16231307, -19516951, 7174894, 22628102, 8115180), |
|
| 468 | - array(-30405132, 955511, -11133838, -15078069, -32447087, -13278079, -25651578, 3317160, -9943017, 930272), |
|
| 469 | - array(-15303681, -6833769, 28856490, 1357446, 23421993, 1057177, 24091212, -1388970, -22765376, -10650715), |
|
| 470 | - ), |
|
| 471 | - array( |
|
| 472 | - array(-22751231, -5303997, -12907607, -12768866, -15811511, -7797053, -14839018, -16554220, -1867018, 8398970), |
|
| 473 | - array(-31969310, 2106403, -4736360, 1362501, 12813763, 16200670, 22981545, -6291273, 18009408, -15772772), |
|
| 474 | - array(-17220923, -9545221, -27784654, 14166835, 29815394, 7444469, 29551787, -3727419, 19288549, 1325865), |
|
| 475 | - ), |
|
| 476 | - array( |
|
| 477 | - array(15100157, -15835752, -23923978, -1005098, -26450192, 15509408, 12376730, -3479146, 33166107, -8042750), |
|
| 478 | - array(20909231, 13023121, -9209752, 16251778, -5778415, -8094914, 12412151, 10018715, 2213263, -13878373), |
|
| 479 | - array(32529814, -11074689, 30361439, -16689753, -9135940, 1513226, 22922121, 6382134, -5766928, 8371348), |
|
| 480 | - ), |
|
| 481 | - ), |
|
| 482 | - array( |
|
| 483 | - array( |
|
| 484 | - array(9923462, 11271500, 12616794, 3544722, -29998368, -1721626, 12891687, -8193132, -26442943, 10486144), |
|
| 485 | - array(-22597207, -7012665, 8587003, -8257861, 4084309, -12970062, 361726, 2610596, -23921530, -11455195), |
|
| 486 | - array(5408411, -1136691, -4969122, 10561668, 24145918, 14240566, 31319731, -4235541, 19985175, -3436086), |
|
| 487 | - ), |
|
| 488 | - array( |
|
| 489 | - array(-13994457, 16616821, 14549246, 3341099, 32155958, 13648976, -17577068, 8849297, 65030, 8370684), |
|
| 490 | - array(-8320926, -12049626, 31204563, 5839400, -20627288, -1057277, -19442942, 6922164, 12743482, -9800518), |
|
| 491 | - array(-2361371, 12678785, 28815050, 4759974, -23893047, 4884717, 23783145, 11038569, 18800704, 255233), |
|
| 492 | - ), |
|
| 493 | - array( |
|
| 494 | - array(-5269658, -1773886, 13957886, 7990715, 23132995, 728773, 13393847, 9066957, 19258688, -14753793), |
|
| 495 | - array(-2936654, -10827535, -10432089, 14516793, -3640786, 4372541, -31934921, 2209390, -1524053, 2055794), |
|
| 496 | - array(580882, 16705327, 5468415, -2683018, -30926419, -14696000, -7203346, -8994389, -30021019, 7394435), |
|
| 497 | - ), |
|
| 498 | - array( |
|
| 499 | - array(23838809, 1822728, -15738443, 15242727, 8318092, -3733104, -21672180, -3492205, -4821741, 14799921), |
|
| 500 | - array(13345610, 9759151, 3371034, -16137791, 16353039, 8577942, 31129804, 13496856, -9056018, 7402518), |
|
| 501 | - array(2286874, -4435931, -20042458, -2008336, -13696227, 5038122, 11006906, -15760352, 8205061, 1607563), |
|
| 502 | - ), |
|
| 503 | - array( |
|
| 504 | - array(14414086, -8002132, 3331830, -3208217, 22249151, -5594188, 18364661, -2906958, 30019587, -9029278), |
|
| 505 | - array(-27688051, 1585953, -10775053, 931069, -29120221, -11002319, -14410829, 12029093, 9944378, 8024), |
|
| 506 | - array(4368715, -3709630, 29874200, -15022983, -20230386, -11410704, -16114594, -999085, -8142388, 5640030), |
|
| 507 | - ), |
|
| 508 | - array( |
|
| 509 | - array(10299610, 13746483, 11661824, 16234854, 7630238, 5998374, 9809887, -16694564, 15219798, -14327783), |
|
| 510 | - array(27425505, -5719081, 3055006, 10660664, 23458024, 595578, -15398605, -1173195, -18342183, 9742717), |
|
| 511 | - array(6744077, 2427284, 26042789, 2720740, -847906, 1118974, 32324614, 7406442, 12420155, 1994844), |
|
| 512 | - ), |
|
| 513 | - array( |
|
| 514 | - array(14012521, -5024720, -18384453, -9578469, -26485342, -3936439, -13033478, -10909803, 24319929, -6446333), |
|
| 515 | - array(16412690, -4507367, 10772641, 15929391, -17068788, -4658621, 10555945, -10484049, -30102368, -4739048), |
|
| 516 | - array(22397382, -7767684, -9293161, -12792868, 17166287, -9755136, -27333065, 6199366, 21880021, -12250760), |
|
| 517 | - ), |
|
| 518 | - array( |
|
| 519 | - array(-4283307, 5368523, -31117018, 8163389, -30323063, 3209128, 16557151, 8890729, 8840445, 4957760), |
|
| 520 | - array(-15447727, 709327, -6919446, -10870178, -29777922, 6522332, -21720181, 12130072, -14796503, 5005757), |
|
| 521 | - array(-2114751, -14308128, 23019042, 15765735, -25269683, 6002752, 10183197, -13239326, -16395286, -2176112), |
|
| 522 | - ), |
|
| 523 | - ), |
|
| 524 | - array( |
|
| 525 | - array( |
|
| 526 | - array(-19025756, 1632005, 13466291, -7995100, -23640451, 16573537, -32013908, -3057104, 22208662, 2000468), |
|
| 527 | - array(3065073, -1412761, -25598674, -361432, -17683065, -5703415, -8164212, 11248527, -3691214, -7414184), |
|
| 528 | - array(10379208, -6045554, 8877319, 1473647, -29291284, -12507580, 16690915, 2553332, -3132688, 16400289), |
|
| 529 | - ), |
|
| 530 | - array( |
|
| 531 | - array(15716668, 1254266, -18472690, 7446274, -8448918, 6344164, -22097271, -7285580, 26894937, 9132066), |
|
| 532 | - array(24158887, 12938817, 11085297, -8177598, -28063478, -4457083, -30576463, 64452, -6817084, -2692882), |
|
| 533 | - array(13488534, 7794716, 22236231, 5989356, 25426474, -12578208, 2350710, -3418511, -4688006, 2364226), |
|
| 534 | - ), |
|
| 535 | - array( |
|
| 536 | - array(16335052, 9132434, 25640582, 6678888, 1725628, 8517937, -11807024, -11697457, 15445875, -7798101), |
|
| 537 | - array(29004207, -7867081, 28661402, -640412, -12794003, -7943086, 31863255, -4135540, -278050, -15759279), |
|
| 538 | - array(-6122061, -14866665, -28614905, 14569919, -10857999, -3591829, 10343412, -6976290, -29828287, -10815811), |
|
| 539 | - ), |
|
| 540 | - array( |
|
| 541 | - array(27081650, 3463984, 14099042, -4517604, 1616303, -6205604, 29542636, 15372179, 17293797, 960709), |
|
| 542 | - array(20263915, 11434237, -5765435, 11236810, 13505955, -10857102, -16111345, 6493122, -19384511, 7639714), |
|
| 543 | - array(-2830798, -14839232, 25403038, -8215196, -8317012, -16173699, 18006287, -16043750, 29994677, -15808121), |
|
| 544 | - ), |
|
| 545 | - array( |
|
| 546 | - array(9769828, 5202651, -24157398, -13631392, -28051003, -11561624, -24613141, -13860782, -31184575, 709464), |
|
| 547 | - array(12286395, 13076066, -21775189, -1176622, -25003198, 4057652, -32018128, -8890874, 16102007, 13205847), |
|
| 548 | - array(13733362, 5599946, 10557076, 3195751, -5557991, 8536970, -25540170, 8525972, 10151379, 10394400), |
|
| 549 | - ), |
|
| 550 | - array( |
|
| 551 | - array(4024660, -16137551, 22436262, 12276534, -9099015, -2686099, 19698229, 11743039, -33302334, 8934414), |
|
| 552 | - array(-15879800, -4525240, -8580747, -2934061, 14634845, -698278, -9449077, 3137094, -11536886, 11721158), |
|
| 553 | - array(17555939, -5013938, 8268606, 2331751, -22738815, 9761013, 9319229, 8835153, -9205489, -1280045), |
|
| 554 | - ), |
|
| 555 | - array( |
|
| 556 | - array(-461409, -7830014, 20614118, 16688288, -7514766, -4807119, 22300304, 505429, 6108462, -6183415), |
|
| 557 | - array(-5070281, 12367917, -30663534, 3234473, 32617080, -8422642, 29880583, -13483331, -26898490, -7867459), |
|
| 558 | - array(-31975283, 5726539, 26934134, 10237677, -3173717, -605053, 24199304, 3795095, 7592688, -14992079), |
|
| 559 | - ), |
|
| 560 | - array( |
|
| 561 | - array(21594432, -14964228, 17466408, -4077222, 32537084, 2739898, 6407723, 12018833, -28256052, 4298412), |
|
| 562 | - array(-20650503, -11961496, -27236275, 570498, 3767144, -1717540, 13891942, -1569194, 13717174, 10805743), |
|
| 563 | - array(-14676630, -15644296, 15287174, 11927123, 24177847, -8175568, -796431, 14860609, -26938930, -5863836), |
|
| 564 | - ), |
|
| 565 | - ), |
|
| 566 | - array( |
|
| 567 | - array( |
|
| 568 | - array(12962541, 5311799, -10060768, 11658280, 18855286, -7954201, 13286263, -12808704, -4381056, 9882022), |
|
| 569 | - array(18512079, 11319350, -20123124, 15090309, 18818594, 5271736, -22727904, 3666879, -23967430, -3299429), |
|
| 570 | - array(-6789020, -3146043, 16192429, 13241070, 15898607, -14206114, -10084880, -6661110, -2403099, 5276065), |
|
| 571 | - ), |
|
| 572 | - array( |
|
| 573 | - array(30169808, -5317648, 26306206, -11750859, 27814964, 7069267, 7152851, 3684982, 1449224, 13082861), |
|
| 574 | - array(10342826, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736, -21016438, -8202000), |
|
| 575 | - array(-33150110, 3261608, 22745853, 7948688, 19370557, -15177665, -26171976, 6482814, -10300080, -11060101), |
|
| 576 | - ), |
|
| 577 | - array( |
|
| 578 | - array(32869458, -5408545, 25609743, 15678670, -10687769, -15471071, 26112421, 2521008, -22664288, 6904815), |
|
| 579 | - array(29506923, 4457497, 3377935, -9796444, -30510046, 12935080, 1561737, 3841096, -29003639, -6657642), |
|
| 580 | - array(10340844, -6630377, -18656632, -2278430, 12621151, -13339055, 30878497, -11824370, -25584551, 5181966), |
|
| 581 | - ), |
|
| 582 | - array( |
|
| 583 | - array(25940115, -12658025, 17324188, -10307374, -8671468, 15029094, 24396252, -16450922, -2322852, -12388574), |
|
| 584 | - array(-21765684, 9916823, -1300409, 4079498, -1028346, 11909559, 1782390, 12641087, 20603771, -6561742), |
|
| 585 | - array(-18882287, -11673380, 24849422, 11501709, 13161720, -4768874, 1925523, 11914390, 4662781, 7820689), |
|
| 586 | - ), |
|
| 587 | - array( |
|
| 588 | - array(12241050, -425982, 8132691, 9393934, 32846760, -1599620, 29749456, 12172924, 16136752, 15264020), |
|
| 589 | - array(-10349955, -14680563, -8211979, 2330220, -17662549, -14545780, 10658213, 6671822, 19012087, 3772772), |
|
| 590 | - array(3753511, -3421066, 10617074, 2028709, 14841030, -6721664, 28718732, -15762884, 20527771, 12988982), |
|
| 591 | - ), |
|
| 592 | - array( |
|
| 593 | - array(-14822485, -5797269, -3707987, 12689773, -898983, -10914866, -24183046, -10564943, 3299665, -12424953), |
|
| 594 | - array(-16777703, -15253301, -9642417, 4978983, 3308785, 8755439, 6943197, 6461331, -25583147, 8991218), |
|
| 595 | - array(-17226263, 1816362, -1673288, -6086439, 31783888, -8175991, -32948145, 7417950, -30242287, 1507265), |
|
| 596 | - ), |
|
| 597 | - array( |
|
| 598 | - array(29692663, 6829891, -10498800, 4334896, 20945975, -11906496, -28887608, 8209391, 14606362, -10647073), |
|
| 599 | - array(-3481570, 8707081, 32188102, 5672294, 22096700, 1711240, -33020695, 9761487, 4170404, -2085325), |
|
| 600 | - array(-11587470, 14855945, -4127778, -1531857, -26649089, 15084046, 22186522, 16002000, -14276837, -8400798), |
|
| 601 | - ), |
|
| 602 | - array( |
|
| 603 | - array(-4811456, 13761029, -31703877, -2483919, -3312471, 7869047, -7113572, -9620092, 13240845, 10965870), |
|
| 604 | - array(-7742563, -8256762, -14768334, -13656260, -23232383, 12387166, 4498947, 14147411, 29514390, 4302863), |
|
| 605 | - array(-13413405, -12407859, 20757302, -13801832, 14785143, 8976368, -5061276, -2144373, 17846988, -13971927), |
|
| 606 | - ), |
|
| 607 | - ), |
|
| 608 | - array( |
|
| 609 | - array( |
|
| 610 | - array(-2244452, -754728, -4597030, -1066309, -6247172, 1455299, -21647728, -9214789, -5222701, 12650267), |
|
| 611 | - array(-9906797, -16070310, 21134160, 12198166, -27064575, 708126, 387813, 13770293, -19134326, 10958663), |
|
| 612 | - array(22470984, 12369526, 23446014, -5441109, -21520802, -9698723, -11772496, -11574455, -25083830, 4271862), |
|
| 613 | - ), |
|
| 614 | - array( |
|
| 615 | - array(-25169565, -10053642, -19909332, 15361595, -5984358, 2159192, 75375, -4278529, -32526221, 8469673), |
|
| 616 | - array(15854970, 4148314, -8893890, 7259002, 11666551, 13824734, -30531198, 2697372, 24154791, -9460943), |
|
| 617 | - array(15446137, -15806644, 29759747, 14019369, 30811221, -9610191, -31582008, 12840104, 24913809, 9815020), |
|
| 618 | - ), |
|
| 619 | - array( |
|
| 620 | - array(-4709286, -5614269, -31841498, -12288893, -14443537, 10799414, -9103676, 13438769, 18735128, 9466238), |
|
| 621 | - array(11933045, 9281483, 5081055, -5183824, -2628162, -4905629, -7727821, -10896103, -22728655, 16199064), |
|
| 622 | - array(14576810, 379472, -26786533, -8317236, -29426508, -10812974, -102766, 1876699, 30801119, 2164795), |
|
| 623 | - ), |
|
| 624 | - array( |
|
| 625 | - array(15995086, 3199873, 13672555, 13712240, -19378835, -4647646, -13081610, -15496269, -13492807, 1268052), |
|
| 626 | - array(-10290614, -3659039, -3286592, 10948818, 23037027, 3794475, -3470338, -12600221, -17055369, 3565904), |
|
| 627 | - array(29210088, -9419337, -5919792, -4952785, 10834811, -13327726, -16512102, -10820713, -27162222, -14030531), |
|
| 628 | - ), |
|
| 629 | - array( |
|
| 630 | - array(-13161890, 15508588, 16663704, -8156150, -28349942, 9019123, -29183421, -3769423, 2244111, -14001979), |
|
| 631 | - array(-5152875, -3800936, -9306475, -6071583, 16243069, 14684434, -25673088, -16180800, 13491506, 4641841), |
|
| 632 | - array(10813417, 643330, -19188515, -728916, 30292062, -16600078, 27548447, -7721242, 14476989, -12767431), |
|
| 633 | - ), |
|
| 634 | - array( |
|
| 635 | - array(10292079, 9984945, 6481436, 8279905, -7251514, 7032743, 27282937, -1644259, -27912810, 12651324), |
|
| 636 | - array(-31185513, -813383, 22271204, 11835308, 10201545, 15351028, 17099662, 3988035, 21721536, -3148940), |
|
| 637 | - array(10202177, -6545839, -31373232, -9574638, -32150642, -8119683, -12906320, 3852694, 13216206, 14842320), |
|
| 638 | - ), |
|
| 639 | - array( |
|
| 640 | - array(-15815640, -10601066, -6538952, -7258995, -6984659, -6581778, -31500847, 13765824, -27434397, 9900184), |
|
| 641 | - array(14465505, -13833331, -32133984, -14738873, -27443187, 12990492, 33046193, 15796406, -7051866, -8040114), |
|
| 642 | - array(30924417, -8279620, 6359016, -12816335, 16508377, 9071735, -25488601, 15413635, 9524356, -7018878), |
|
| 643 | - ), |
|
| 644 | - array( |
|
| 645 | - array(12274201, -13175547, 32627641, -1785326, 6736625, 13267305, 5237659, -5109483, 15663516, 4035784), |
|
| 646 | - array(-2951309, 8903985, 17349946, 601635, -16432815, -4612556, -13732739, -15889334, -22258478, 4659091), |
|
| 647 | - array(-16916263, -4952973, -30393711, -15158821, 20774812, 15897498, 5736189, 15026997, -2178256, -13455585), |
|
| 648 | - ), |
|
| 649 | - ), |
|
| 650 | - array( |
|
| 651 | - array( |
|
| 652 | - array(-8858980, -2219056, 28571666, -10155518, -474467, -10105698, -3801496, 278095, 23440562, -290208), |
|
| 653 | - array(10226241, -5928702, 15139956, 120818, -14867693, 5218603, 32937275, 11551483, -16571960, -7442864), |
|
| 654 | - array(17932739, -12437276, -24039557, 10749060, 11316803, 7535897, 22503767, 5561594, -3646624, 3898661), |
|
| 655 | - ), |
|
| 656 | - array( |
|
| 657 | - array(7749907, -969567, -16339731, -16464, -25018111, 15122143, -1573531, 7152530, 21831162, 1245233), |
|
| 658 | - array(26958459, -14658026, 4314586, 8346991, -5677764, 11960072, -32589295, -620035, -30402091, -16716212), |
|
| 659 | - array(-12165896, 9166947, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357, -22338025, 13987525), |
|
| 660 | - ), |
|
| 661 | - array( |
|
| 662 | - array(-24349909, 7778775, 21116000, 15572597, -4833266, -5357778, -4300898, -5124639, -7469781, -2858068), |
|
| 663 | - array(9681908, -6737123, -31951644, 13591838, -6883821, 386950, 31622781, 6439245, -14581012, 4091397), |
|
| 664 | - array(-8426427, 1470727, -28109679, -1596990, 3978627, -5123623, -19622683, 12092163, 29077877, -14741988), |
|
| 665 | - ), |
|
| 666 | - array( |
|
| 667 | - array(5269168, -6859726, -13230211, -8020715, 25932563, 1763552, -5606110, -5505881, -20017847, 2357889), |
|
| 668 | - array(32264008, -15407652, -5387735, -1160093, -2091322, -3946900, 23104804, -12869908, 5727338, 189038), |
|
| 669 | - array(14609123, -8954470, -6000566, -16622781, -14577387, -7743898, -26745169, 10942115, -25888931, -14884697), |
|
| 670 | - ), |
|
| 671 | - array( |
|
| 672 | - array(20513500, 5557931, -15604613, 7829531, 26413943, -2019404, -21378968, 7471781, 13913677, -5137875), |
|
| 673 | - array(-25574376, 11967826, 29233242, 12948236, -6754465, 4713227, -8940970, 14059180, 12878652, 8511905), |
|
| 674 | - array(-25656801, 3393631, -2955415, -7075526, -2250709, 9366908, -30223418, 6812974, 5568676, -3127656), |
|
| 675 | - ), |
|
| 676 | - array( |
|
| 677 | - array(11630004, 12144454, 2116339, 13606037, 27378885, 15676917, -17408753, -13504373, -14395196, 8070818), |
|
| 678 | - array(27117696, -10007378, -31282771, -5570088, 1127282, 12772488, -29845906, 10483306, -11552749, -1028714), |
|
| 679 | - array(10637467, -5688064, 5674781, 1072708, -26343588, -6982302, -1683975, 9177853, -27493162, 15431203), |
|
| 680 | - ), |
|
| 681 | - array( |
|
| 682 | - array(20525145, 10892566, -12742472, 12779443, -29493034, 16150075, -28240519, 14943142, -15056790, -7935931), |
|
| 683 | - array(-30024462, 5626926, -551567, -9981087, 753598, 11981191, 25244767, -3239766, -3356550, 9594024), |
|
| 684 | - array(-23752644, 2636870, -5163910, -10103818, 585134, 7877383, 11345683, -6492290, 13352335, -10977084), |
|
| 685 | - ), |
|
| 686 | - array( |
|
| 687 | - array(-1931799, -5407458, 3304649, -12884869, 17015806, -4877091, -29783850, -7752482, -13215537, -319204), |
|
| 688 | - array(20239939, 6607058, 6203985, 3483793, -18386976, -779229, -20723742, 15077870, -22750759, 14523817), |
|
| 689 | - array(27406042, -6041657, 27423596, -4497394, 4996214, 10002360, -28842031, -4545494, -30172742, -4805667), |
|
| 690 | - ), |
|
| 691 | - ), |
|
| 692 | - array( |
|
| 693 | - array( |
|
| 694 | - array(11374242, 12660715, 17861383, -12540833, 10935568, 1099227, -13886076, -9091740, -27727044, 11358504), |
|
| 695 | - array(-12730809, 10311867, 1510375, 10778093, -2119455, -9145702, 32676003, 11149336, -26123651, 4985768), |
|
| 696 | - array(-19096303, 341147, -6197485, -239033, 15756973, -8796662, -983043, 13794114, -19414307, -15621255), |
|
| 697 | - ), |
|
| 698 | - array( |
|
| 699 | - array(6490081, 11940286, 25495923, -7726360, 8668373, -8751316, 3367603, 6970005, -1691065, -9004790), |
|
| 700 | - array(1656497, 13457317, 15370807, 6364910, 13605745, 8362338, -19174622, -5475723, -16796596, -5031438), |
|
| 701 | - array(-22273315, -13524424, -64685, -4334223, -18605636, -10921968, -20571065, -7007978, -99853, -10237333), |
|
| 702 | - ), |
|
| 703 | - array( |
|
| 704 | - array(17747465, 10039260, 19368299, -4050591, -20630635, -16041286, 31992683, -15857976, -29260363, -5511971), |
|
| 705 | - array(31932027, -4986141, -19612382, 16366580, 22023614, 88450, 11371999, -3744247, 4882242, -10626905), |
|
| 706 | - array(29796507, 37186, 19818052, 10115756, -11829032, 3352736, 18551198, 3272828, -5190932, -4162409), |
|
| 707 | - ), |
|
| 708 | - array( |
|
| 709 | - array(12501286, 4044383, -8612957, -13392385, -32430052, 5136599, -19230378, -3529697, 330070, -3659409), |
|
| 710 | - array(6384877, 2899513, 17807477, 7663917, -2358888, 12363165, 25366522, -8573892, -271295, 12071499), |
|
| 711 | - array(-8365515, -4042521, 25133448, -4517355, -6211027, 2265927, -32769618, 1936675, -5159697, 3829363), |
|
| 712 | - ), |
|
| 713 | - array( |
|
| 714 | - array(28425966, -5835433, -577090, -4697198, -14217555, 6870930, 7921550, -6567787, 26333140, 14267664), |
|
| 715 | - array(-11067219, 11871231, 27385719, -10559544, -4585914, -11189312, 10004786, -8709488, -21761224, 8930324), |
|
| 716 | - array(-21197785, -16396035, 25654216, -1725397, 12282012, 11008919, 1541940, 4757911, -26491501, -16408940), |
|
| 717 | - ), |
|
| 718 | - array( |
|
| 719 | - array(13537262, -7759490, -20604840, 10961927, -5922820, -13218065, -13156584, 6217254, -15943699, 13814990), |
|
| 720 | - array(-17422573, 15157790, 18705543, 29619, 24409717, -260476, 27361681, 9257833, -1956526, -1776914), |
|
| 721 | - array(-25045300, -10191966, 15366585, 15166509, -13105086, 8423556, -29171540, 12361135, -18685978, 4578290), |
|
| 722 | - ), |
|
| 723 | - array( |
|
| 724 | - array(24579768, 3711570, 1342322, -11180126, -27005135, 14124956, -22544529, 14074919, 21964432, 8235257), |
|
| 725 | - array(-6528613, -2411497, 9442966, -5925588, 12025640, -1487420, -2981514, -1669206, 13006806, 2355433), |
|
| 726 | - array(-16304899, -13605259, -6632427, -5142349, 16974359, -10911083, 27202044, 1719366, 1141648, -12796236), |
|
| 727 | - ), |
|
| 728 | - array( |
|
| 729 | - array(-12863944, -13219986, -8318266, -11018091, -6810145, -4843894, 13475066, -3133972, 32674895, 13715045), |
|
| 730 | - array(11423335, -5468059, 32344216, 8962751, 24989809, 9241752, -13265253, 16086212, -28740881, -15642093), |
|
| 731 | - array(-1409668, 12530728, -6368726, 10847387, 19531186, -14132160, -11709148, 7791794, -27245943, 4383347), |
|
| 732 | - ), |
|
| 733 | - ), |
|
| 734 | - array( |
|
| 735 | - array( |
|
| 736 | - array(-28970898, 5271447, -1266009, -9736989, -12455236, 16732599, -4862407, -4906449, 27193557, 6245191), |
|
| 737 | - array(-15193956, 5362278, -1783893, 2695834, 4960227, 12840725, 23061898, 3260492, 22510453, 8577507), |
|
| 738 | - array(-12632451, 11257346, -32692994, 13548177, -721004, 10879011, 31168030, 13952092, -29571492, -3635906), |
|
| 739 | - ), |
|
| 740 | - array( |
|
| 741 | - array(3877321, -9572739, 32416692, 5405324, -11004407, -13656635, 3759769, 11935320, 5611860, 8164018), |
|
| 742 | - array(-16275802, 14667797, 15906460, 12155291, -22111149, -9039718, 32003002, -8832289, 5773085, -8422109), |
|
| 743 | - array(-23788118, -8254300, 1950875, 8937633, 18686727, 16459170, -905725, 12376320, 31632953, 190926), |
|
| 744 | - ), |
|
| 745 | - array( |
|
| 746 | - array(-24593607, -16138885, -8423991, 13378746, 14162407, 6901328, -8288749, 4508564, -25341555, -3627528), |
|
| 747 | - array(8884438, -5884009, 6023974, 10104341, -6881569, -4941533, 18722941, -14786005, -1672488, 827625), |
|
| 748 | - array(-32720583, -16289296, -32503547, 7101210, 13354605, 2659080, -1800575, -14108036, -24878478, 1541286), |
|
| 749 | - ), |
|
| 750 | - array( |
|
| 751 | - array(2901347, -1117687, 3880376, -10059388, -17620940, -3612781, -21802117, -3567481, 20456845, -1885033), |
|
| 752 | - array(27019610, 12299467, -13658288, -1603234, -12861660, -4861471, -19540150, -5016058, 29439641, 15138866), |
|
| 753 | - array(21536104, -6626420, -32447818, -10690208, -22408077, 5175814, -5420040, -16361163, 7779328, 109896), |
|
| 754 | - ), |
|
| 755 | - array( |
|
| 756 | - array(30279744, 14648750, -8044871, 6425558, 13639621, -743509, 28698390, 12180118, 23177719, -554075), |
|
| 757 | - array(26572847, 3405927, -31701700, 12890905, -19265668, 5335866, -6493768, 2378492, 4439158, -13279347), |
|
| 758 | - array(-22716706, 3489070, -9225266, -332753, 18875722, -1140095, 14819434, -12731527, -17717757, -5461437), |
|
| 759 | - ), |
|
| 760 | - array( |
|
| 761 | - array(-5056483, 16566551, 15953661, 3767752, -10436499, 15627060, -820954, 2177225, 8550082, -15114165), |
|
| 762 | - array(-18473302, 16596775, -381660, 15663611, 22860960, 15585581, -27844109, -3582739, -23260460, -8428588), |
|
| 763 | - array(-32480551, 15707275, -8205912, -5652081, 29464558, 2713815, -22725137, 15860482, -21902570, 1494193), |
|
| 764 | - ), |
|
| 765 | - array( |
|
| 766 | - array(-19562091, -14087393, -25583872, -9299552, 13127842, 759709, 21923482, 16529112, 8742704, 12967017), |
|
| 767 | - array(-28464899, 1553205, 32536856, -10473729, -24691605, -406174, -8914625, -2933896, -29903758, 15553883), |
|
| 768 | - array(21877909, 3230008, 9881174, 10539357, -4797115, 2841332, 11543572, 14513274, 19375923, -12647961), |
|
| 769 | - ), |
|
| 770 | - array( |
|
| 771 | - array(8832269, -14495485, 13253511, 5137575, 5037871, 4078777, 24880818, -6222716, 2862653, 9455043), |
|
| 772 | - array(29306751, 5123106, 20245049, -14149889, 9592566, 8447059, -2077124, -2990080, 15511449, 4789663), |
|
| 773 | - array(-20679756, 7004547, 8824831, -9434977, -4045704, -3750736, -5754762, 108893, 23513200, 16652362), |
|
| 774 | - ), |
|
| 775 | - ), |
|
| 776 | - array( |
|
| 777 | - array( |
|
| 778 | - array(-33256173, 4144782, -4476029, -6579123, 10770039, -7155542, -6650416, -12936300, -18319198, 10212860), |
|
| 779 | - array(2756081, 8598110, 7383731, -6859892, 22312759, -1105012, 21179801, 2600940, -9988298, -12506466), |
|
| 780 | - array(-24645692, 13317462, -30449259, -15653928, 21365574, -10869657, 11344424, 864440, -2499677, -16710063), |
|
| 781 | - ), |
|
| 782 | - array( |
|
| 783 | - array(-26432803, 6148329, -17184412, -14474154, 18782929, -275997, -22561534, 211300, 2719757, 4940997), |
|
| 784 | - array(-1323882, 3911313, -6948744, 14759765, -30027150, 7851207, 21690126, 8518463, 26699843, 5276295), |
|
| 785 | - array(-13149873, -6429067, 9396249, 365013, 24703301, -10488939, 1321586, 149635, -15452774, 7159369), |
|
| 786 | - ), |
|
| 787 | - array( |
|
| 788 | - array(9987780, -3404759, 17507962, 9505530, 9731535, -2165514, 22356009, 8312176, 22477218, -8403385), |
|
| 789 | - array(18155857, -16504990, 19744716, 9006923, 15154154, -10538976, 24256460, -4864995, -22548173, 9334109), |
|
| 790 | - array(2986088, -4911893, 10776628, -3473844, 10620590, -7083203, -21413845, 14253545, -22587149, 536906), |
|
| 791 | - ), |
|
| 792 | - array( |
|
| 793 | - array(4377756, 8115836, 24567078, 15495314, 11625074, 13064599, 7390551, 10589625, 10838060, -15420424), |
|
| 794 | - array(-19342404, 867880, 9277171, -3218459, -14431572, -1986443, 19295826, -15796950, 6378260, 699185), |
|
| 795 | - array(7895026, 4057113, -7081772, -13077756, -17886831, -323126, -716039, 15693155, -5045064, -13373962), |
|
| 796 | - ), |
|
| 797 | - array( |
|
| 798 | - array(-7737563, -5869402, -14566319, -7406919, 11385654, 13201616, 31730678, -10962840, -3918636, -9669325), |
|
| 799 | - array(10188286, -15770834, -7336361, 13427543, 22223443, 14896287, 30743455, 7116568, -21786507, 5427593), |
|
| 800 | - array(696102, 13206899, 27047647, -10632082, 15285305, -9853179, 10798490, -4578720, 19236243, 12477404), |
|
| 801 | - ), |
|
| 802 | - array( |
|
| 803 | - array(-11229439, 11243796, -17054270, -8040865, -788228, -8167967, -3897669, 11180504, -23169516, 7733644), |
|
| 804 | - array(17800790, -14036179, -27000429, -11766671, 23887827, 3149671, 23466177, -10538171, 10322027, 15313801), |
|
| 805 | - array(26246234, 11968874, 32263343, -5468728, 6830755, -13323031, -15794704, -101982, -24449242, 10890804), |
|
| 806 | - ), |
|
| 807 | - array( |
|
| 808 | - array(-31365647, 10271363, -12660625, -6267268, 16690207, -13062544, -14982212, 16484931, 25180797, -5334884), |
|
| 809 | - array(-586574, 10376444, -32586414, -11286356, 19801893, 10997610, 2276632, 9482883, 316878, 13820577), |
|
| 810 | - array(-9882808, -4510367, -2115506, 16457136, -11100081, 11674996, 30756178, -7515054, 30696930, -3712849), |
|
| 811 | - ), |
|
| 812 | - array( |
|
| 813 | - array(32988917, -9603412, 12499366, 7910787, -10617257, -11931514, -7342816, -9985397, -32349517, 7392473), |
|
| 814 | - array(-8855661, 15927861, 9866406, -3649411, -2396914, -16655781, -30409476, -9134995, 25112947, -2926644), |
|
| 815 | - array(-2504044, -436966, 25621774, -5678772, 15085042, -5479877, -24884878, -13526194, 5537438, -13914319), |
|
| 816 | - ), |
|
| 817 | - ), |
|
| 818 | - array( |
|
| 819 | - array( |
|
| 820 | - array(-11225584, 2320285, -9584280, 10149187, -33444663, 5808648, -14876251, -1729667, 31234590, 6090599), |
|
| 821 | - array(-9633316, 116426, 26083934, 2897444, -6364437, -2688086, 609721, 15878753, -6970405, -9034768), |
|
| 822 | - array(-27757857, 247744, -15194774, -9002551, 23288161, -10011936, -23869595, 6503646, 20650474, 1804084), |
|
| 823 | - ), |
|
| 824 | - array( |
|
| 825 | - array(-27589786, 15456424, 8972517, 8469608, 15640622, 4439847, 3121995, -10329713, 27842616, -202328), |
|
| 826 | - array(-15306973, 2839644, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932, -11375082, 12714369), |
|
| 827 | - array(20807691, -7270825, 29286141, 11421711, -27876523, -13868230, -21227475, 1035546, -19733229, 12796920), |
|
| 828 | - ), |
|
| 829 | - array( |
|
| 830 | - array(12076899, -14301286, -8785001, -11848922, -25012791, 16400684, -17591495, -12899438, 3480665, -15182815), |
|
| 831 | - array(-32361549, 5457597, 28548107, 7833186, 7303070, -11953545, -24363064, -15921875, -33374054, 2771025), |
|
| 832 | - array(-21389266, 421932, 26597266, 6860826, 22486084, -6737172, -17137485, -4210226, -24552282, 15673397), |
|
| 833 | - ), |
|
| 834 | - array( |
|
| 835 | - array(-20184622, 2338216, 19788685, -9620956, -4001265, -8740893, -20271184, 4733254, 3727144, -12934448), |
|
| 836 | - array(6120119, 814863, -11794402, -622716, 6812205, -15747771, 2019594, 7975683, 31123697, -10958981), |
|
| 837 | - array(30069250, -11435332, 30434654, 2958439, 18399564, -976289, 12296869, 9204260, -16432438, 9648165), |
|
| 838 | - ), |
|
| 839 | - array( |
|
| 840 | - array(32705432, -1550977, 30705658, 7451065, -11805606, 9631813, 3305266, 5248604, -26008332, -11377501), |
|
| 841 | - array(17219865, 2375039, -31570947, -5575615, -19459679, 9219903, 294711, 15298639, 2662509, -16297073), |
|
| 842 | - array(-1172927, -7558695, -4366770, -4287744, -21346413, -8434326, 32087529, -1222777, 32247248, -14389861), |
|
| 843 | - ), |
|
| 844 | - array( |
|
| 845 | - array(14312628, 1221556, 17395390, -8700143, -4945741, -8684635, -28197744, -9637817, -16027623, -13378845), |
|
| 846 | - array(-1428825, -9678990, -9235681, 6549687, -7383069, -468664, 23046502, 9803137, 17597934, 2346211), |
|
| 847 | - array(18510800, 15337574, 26171504, 981392, -22241552, 7827556, -23491134, -11323352, 3059833, -11782870), |
|
| 848 | - ), |
|
| 849 | - array( |
|
| 850 | - array(10141598, 6082907, 17829293, -1947643, 9830092, 13613136, -25556636, -5544586, -33502212, 3592096), |
|
| 851 | - array(33114168, -15889352, -26525686, -13343397, 33076705, 8716171, 1151462, 1521897, -982665, -6837803), |
|
| 852 | - array(-32939165, -4255815, 23947181, -324178, -33072974, -12305637, -16637686, 3891704, 26353178, 693168), |
|
| 853 | - ), |
|
| 854 | - array( |
|
| 855 | - array(30374239, 1595580, -16884039, 13186931, 4600344, 406904, 9585294, -400668, 31375464, 14369965), |
|
| 856 | - array(-14370654, -7772529, 1510301, 6434173, -18784789, -6262728, 32732230, -13108839, 17901441, 16011505), |
|
| 857 | - array(18171223, -11934626, -12500402, 15197122, -11038147, -15230035, -19172240, -16046376, 8764035, 12309598), |
|
| 858 | - ), |
|
| 859 | - ), |
|
| 860 | - array( |
|
| 861 | - array( |
|
| 862 | - array(5975908, -5243188, -19459362, -9681747, -11541277, 14015782, -23665757, 1228319, 17544096, -10593782), |
|
| 863 | - array(5811932, -1715293, 3442887, -2269310, -18367348, -8359541, -18044043, -15410127, -5565381, 12348900), |
|
| 864 | - array(-31399660, 11407555, 25755363, 6891399, -3256938, 14872274, -24849353, 8141295, -10632534, -585479), |
|
| 865 | - ), |
|
| 866 | - array( |
|
| 867 | - array(-12675304, 694026, -5076145, 13300344, 14015258, -14451394, -9698672, -11329050, 30944593, 1130208), |
|
| 868 | - array(8247766, -6710942, -26562381, -7709309, -14401939, -14648910, 4652152, 2488540, 23550156, -271232), |
|
| 869 | - array(17294316, -3788438, 7026748, 15626851, 22990044, 113481, 2267737, -5908146, -408818, -137719), |
|
| 870 | - ), |
|
| 871 | - array( |
|
| 872 | - array(16091085, -16253926, 18599252, 7340678, 2137637, -1221657, -3364161, 14550936, 3260525, -7166271), |
|
| 873 | - array(-4910104, -13332887, 18550887, 10864893, -16459325, -7291596, -23028869, -13204905, -12748722, 2701326), |
|
| 874 | - array(-8574695, 16099415, 4629974, -16340524, -20786213, -6005432, -10018363, 9276971, 11329923, 1862132), |
|
| 875 | - ), |
|
| 876 | - array( |
|
| 877 | - array(14763076, -15903608, -30918270, 3689867, 3511892, 10313526, -21951088, 12219231, -9037963, -940300), |
|
| 878 | - array(8894987, -3446094, 6150753, 3013931, 301220, 15693451, -31981216, -2909717, -15438168, 11595570), |
|
| 879 | - array(15214962, 3537601, -26238722, -14058872, 4418657, -15230761, 13947276, 10730794, -13489462, -4363670), |
|
| 880 | - ), |
|
| 881 | - array( |
|
| 882 | - array(-2538306, 7682793, 32759013, 263109, -29984731, -7955452, -22332124, -10188635, 977108, 699994), |
|
| 883 | - array(-12466472, 4195084, -9211532, 550904, -15565337, 12917920, 19118110, -439841, -30534533, -14337913), |
|
| 884 | - array(31788461, -14507657, 4799989, 7372237, 8808585, -14747943, 9408237, -10051775, 12493932, -5409317), |
|
| 885 | - ), |
|
| 886 | - array( |
|
| 887 | - array(-25680606, 5260744, -19235809, -6284470, -3695942, 16566087, 27218280, 2607121, 29375955, 6024730), |
|
| 888 | - array(842132, -2794693, -4763381, -8722815, 26332018, -12405641, 11831880, 6985184, -9940361, 2854096), |
|
| 889 | - array(-4847262, -7969331, 2516242, -5847713, 9695691, -7221186, 16512645, 960770, 12121869, 16648078), |
|
| 890 | - ), |
|
| 891 | - array( |
|
| 892 | - array(-15218652, 14667096, -13336229, 2013717, 30598287, -464137, -31504922, -7882064, 20237806, 2838411), |
|
| 893 | - array(-19288047, 4453152, 15298546, -16178388, 22115043, -15972604, 12544294, -13470457, 1068881, -12499905), |
|
| 894 | - array(-9558883, -16518835, 33238498, 13506958, 30505848, -1114596, -8486907, -2630053, 12521378, 4845654), |
|
| 895 | - ), |
|
| 896 | - array( |
|
| 897 | - array(-28198521, 10744108, -2958380, 10199664, 7759311, -13088600, 3409348, -873400, -6482306, -12885870), |
|
| 898 | - array(-23561822, 6230156, -20382013, 10655314, -24040585, -11621172, 10477734, -1240216, -3113227, 13974498), |
|
| 899 | - array(12966261, 15550616, -32038948, -1615346, 21025980, -629444, 5642325, 7188737, 18895762, 12629579), |
|
| 900 | - ), |
|
| 901 | - ), |
|
| 902 | - array( |
|
| 903 | - array( |
|
| 904 | - array(14741879, -14946887, 22177208, -11721237, 1279741, 8058600, 11758140, 789443, 32195181, 3895677), |
|
| 905 | - array(10758205, 15755439, -4509950, 9243698, -4879422, 6879879, -2204575, -3566119, -8982069, 4429647), |
|
| 906 | - array(-2453894, 15725973, -20436342, -10410672, -5803908, -11040220, -7135870, -11642895, 18047436, -15281743), |
|
| 907 | - ), |
|
| 908 | - array( |
|
| 909 | - array(-25173001, -11307165, 29759956, 11776784, -22262383, -15820455, 10993114, -12850837, -17620701, -9408468), |
|
| 910 | - array(21987233, 700364, -24505048, 14972008, -7774265, -5718395, 32155026, 2581431, -29958985, 8773375), |
|
| 911 | - array(-25568350, 454463, -13211935, 16126715, 25240068, 8594567, 20656846, 12017935, -7874389, -13920155), |
|
| 912 | - ), |
|
| 913 | - array( |
|
| 914 | - array(6028182, 6263078, -31011806, -11301710, -818919, 2461772, -31841174, -5468042, -1721788, -2776725), |
|
| 915 | - array(-12278994, 16624277, 987579, -5922598, 32908203, 1248608, 7719845, -4166698, 28408820, 6816612), |
|
| 916 | - array(-10358094, -8237829, 19549651, -12169222, 22082623, 16147817, 20613181, 13982702, -10339570, 5067943), |
|
| 917 | - ), |
|
| 918 | - array( |
|
| 919 | - array(-30505967, -3821767, 12074681, 13582412, -19877972, 2443951, -19719286, 12746132, 5331210, -10105944), |
|
| 920 | - array(30528811, 3601899, -1957090, 4619785, -27361822, -15436388, 24180793, -12570394, 27679908, -1648928), |
|
| 921 | - array(9402404, -13957065, 32834043, 10838634, -26580150, -13237195, 26653274, -8685565, 22611444, -12715406), |
|
| 922 | - ), |
|
| 923 | - array( |
|
| 924 | - array(22190590, 1118029, 22736441, 15130463, -30460692, -5991321, 19189625, -4648942, 4854859, 6622139), |
|
| 925 | - array(-8310738, -2953450, -8262579, -3388049, -10401731, -271929, 13424426, -3567227, 26404409, 13001963), |
|
| 926 | - array(-31241838, -15415700, -2994250, 8939346, 11562230, -12840670, -26064365, -11621720, -15405155, 11020693), |
|
| 927 | - ), |
|
| 928 | - array( |
|
| 929 | - array(1866042, -7949489, -7898649, -10301010, 12483315, 13477547, 3175636, -12424163, 28761762, 1406734), |
|
| 930 | - array(-448555, -1777666, 13018551, 3194501, -9580420, -11161737, 24760585, -4347088, 25577411, -13378680), |
|
| 931 | - array(-24290378, 4759345, -690653, -1852816, 2066747, 10693769, -29595790, 9884936, -9368926, 4745410), |
|
| 932 | - ), |
|
| 933 | - array( |
|
| 934 | - array(-9141284, 6049714, -19531061, -4341411, -31260798, 9944276, -15462008, -11311852, 10931924, -11931931), |
|
| 935 | - array(-16561513, 14112680, -8012645, 4817318, -8040464, -11414606, -22853429, 10856641, -20470770, 13434654), |
|
| 936 | - array(22759489, -10073434, -16766264, -1871422, 13637442, -10168091, 1765144, -12654326, 28445307, -5364710), |
|
| 937 | - ), |
|
| 938 | - array( |
|
| 939 | - array(29875063, 12493613, 2795536, -3786330, 1710620, 15181182, -10195717, -8788675, 9074234, 1167180), |
|
| 940 | - array(-26205683, 11014233, -9842651, -2635485, -26908120, 7532294, -18716888, -9535498, 3843903, 9367684), |
|
| 941 | - array(-10969595, -6403711, 9591134, 9582310, 11349256, 108879, 16235123, 8601684, -139197, 4242895), |
|
| 942 | - ), |
|
| 943 | - ), |
|
| 944 | - array( |
|
| 945 | - array( |
|
| 946 | - array(22092954, -13191123, -2042793, -11968512, 32186753, -11517388, -6574341, 2470660, -27417366, 16625501), |
|
| 947 | - array(-11057722, 3042016, 13770083, -9257922, 584236, -544855, -7770857, 2602725, -27351616, 14247413), |
|
| 948 | - array(6314175, -10264892, -32772502, 15957557, -10157730, 168750, -8618807, 14290061, 27108877, -1180880), |
|
| 949 | - ), |
|
| 950 | - array( |
|
| 951 | - array(-8586597, -7170966, 13241782, 10960156, -32991015, -13794596, 33547976, -11058889, -27148451, 981874), |
|
| 952 | - array(22833440, 9293594, -32649448, -13618667, -9136966, 14756819, -22928859, -13970780, -10479804, -16197962), |
|
| 953 | - array(-7768587, 3326786, -28111797, 10783824, 19178761, 14905060, 22680049, 13906969, -15933690, 3797899), |
|
| 954 | - ), |
|
| 955 | - array( |
|
| 956 | - array(21721356, -4212746, -12206123, 9310182, -3882239, -13653110, 23740224, -2709232, 20491983, -8042152), |
|
| 957 | - array(9209270, -15135055, -13256557, -6167798, -731016, 15289673, 25947805, 15286587, 30997318, -6703063), |
|
| 958 | - array(7392032, 16618386, 23946583, -8039892, -13265164, -1533858, -14197445, -2321576, 17649998, -250080), |
|
| 959 | - ), |
|
| 960 | - array( |
|
| 961 | - array(-9301088, -14193827, 30609526, -3049543, -25175069, -1283752, -15241566, -9525724, -2233253, 7662146), |
|
| 962 | - array(-17558673, 1763594, -33114336, 15908610, -30040870, -12174295, 7335080, -8472199, -3174674, 3440183), |
|
| 963 | - array(-19889700, -5977008, -24111293, -9688870, 10799743, -16571957, 40450, -4431835, 4862400, 1133), |
|
| 964 | - ), |
|
| 965 | - array( |
|
| 966 | - array(-32856209, -7873957, -5422389, 14860950, -16319031, 7956142, 7258061, 311861, -30594991, -7379421), |
|
| 967 | - array(-3773428, -1565936, 28985340, 7499440, 24445838, 9325937, 29727763, 16527196, 18278453, 15405622), |
|
| 968 | - array(-4381906, 8508652, -19898366, -3674424, -5984453, 15149970, -13313598, 843523, -21875062, 13626197), |
|
| 969 | - ), |
|
| 970 | - array( |
|
| 971 | - array(2281448, -13487055, -10915418, -2609910, 1879358, 16164207, -10783882, 3953792, 13340839, 15928663), |
|
| 972 | - array(31727126, -7179855, -18437503, -8283652, 2875793, -16390330, -25269894, -7014826, -23452306, 5964753), |
|
| 973 | - array(4100420, -5959452, -17179337, 6017714, -18705837, 12227141, -26684835, 11344144, 2538215, -7570755), |
|
| 974 | - ), |
|
| 975 | - array( |
|
| 976 | - array(-9433605, 6123113, 11159803, -2156608, 30016280, 14966241, -20474983, 1485421, -629256, -15958862), |
|
| 977 | - array(-26804558, 4260919, 11851389, 9658551, -32017107, 16367492, -20205425, -13191288, 11659922, -11115118), |
|
| 978 | - array(26180396, 10015009, -30844224, -8581293, 5418197, 9480663, 2231568, -10170080, 33100372, -1306171), |
|
| 979 | - ), |
|
| 980 | - array( |
|
| 981 | - array(15121113, -5201871, -10389905, 15427821, -27509937, -15992507, 21670947, 4486675, -5931810, -14466380), |
|
| 982 | - array(16166486, -9483733, -11104130, 6023908, -31926798, -1364923, 2340060, -16254968, -10735770, -10039824), |
|
| 983 | - array(28042865, -3557089, -12126526, 12259706, -3717498, -6945899, 6766453, -8689599, 18036436, 5803270), |
|
| 984 | - ), |
|
| 985 | - ), |
|
| 986 | - array( |
|
| 987 | - array( |
|
| 988 | - array(-817581, 6763912, 11803561, 1585585, 10958447, -2671165, 23855391, 4598332, -6159431, -14117438), |
|
| 989 | - array(-31031306, -14256194, 17332029, -2383520, 31312682, -5967183, 696309, 50292, -20095739, 11763584), |
|
| 990 | - array(-594563, -2514283, -32234153, 12643980, 12650761, 14811489, 665117, -12613632, -19773211, -10713562), |
|
| 991 | - ), |
|
| 992 | - array( |
|
| 993 | - array(30464590, -11262872, -4127476, -12734478, 19835327, -7105613, -24396175, 2075773, -17020157, 992471), |
|
| 994 | - array(18357185, -6994433, 7766382, 16342475, -29324918, 411174, 14578841, 8080033, -11574335, -10601610), |
|
| 995 | - array(19598397, 10334610, 12555054, 2555664, 18821899, -10339780, 21873263, 16014234, 26224780, 16452269), |
|
| 996 | - ), |
|
| 997 | - array( |
|
| 998 | - array(-30223925, 5145196, 5944548, 16385966, 3976735, 2009897, -11377804, -7618186, -20533829, 3698650), |
|
| 999 | - array(14187449, 3448569, -10636236, -10810935, -22663880, -3433596, 7268410, -10890444, 27394301, 12015369), |
|
| 1000 | - array(19695761, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, -1312777, -13259127, -3402461), |
|
| 1001 | - ), |
|
| 1002 | - array( |
|
| 1003 | - array(30860103, 12735208, -1888245, -4699734, -16974906, 2256940, -8166013, 12298312, -8550524, -10393462), |
|
| 1004 | - array(-5719826, -11245325, -1910649, 15569035, 26642876, -7587760, -5789354, -15118654, -4976164, 12651793), |
|
| 1005 | - array(-2848395, 9953421, 11531313, -5282879, 26895123, -12697089, -13118820, -16517902, 9768698, -2533218), |
|
| 1006 | - ), |
|
| 1007 | - array( |
|
| 1008 | - array(-24719459, 1894651, -287698, -4704085, 15348719, -8156530, 32767513, 12765450, 4940095, 10678226), |
|
| 1009 | - array(18860224, 15980149, -18987240, -1562570, -26233012, -11071856, -7843882, 13944024, -24372348, 16582019), |
|
| 1010 | - array(-15504260, 4970268, -29893044, 4175593, -20993212, -2199756, -11704054, 15444560, -11003761, 7989037), |
|
| 1011 | - ), |
|
| 1012 | - array( |
|
| 1013 | - array(31490452, 5568061, -2412803, 2182383, -32336847, 4531686, -32078269, 6200206, -19686113, -14800171), |
|
| 1014 | - array(-17308668, -15879940, -31522777, -2831, -32887382, 16375549, 8680158, -16371713, 28550068, -6857132), |
|
| 1015 | - array(-28126887, -5688091, 16837845, -1820458, -6850681, 12700016, -30039981, 4364038, 1155602, 5988841), |
|
| 1016 | - ), |
|
| 1017 | - array( |
|
| 1018 | - array(21890435, -13272907, -12624011, 12154349, -7831873, 15300496, 23148983, -4470481, 24618407, 8283181), |
|
| 1019 | - array(-33136107, -10512751, 9975416, 6841041, -31559793, 16356536, 3070187, -7025928, 1466169, 10740210), |
|
| 1020 | - array(-1509399, -15488185, -13503385, -10655916, 32799044, 909394, -13938903, -5779719, -32164649, -15327040), |
|
| 1021 | - ), |
|
| 1022 | - array( |
|
| 1023 | - array(3960823, -14267803, -28026090, -15918051, -19404858, 13146868, 15567327, 951507, -3260321, -573935), |
|
| 1024 | - array(24740841, 5052253, -30094131, 8961361, 25877428, 6165135, -24368180, 14397372, -7380369, -6144105), |
|
| 1025 | - array(-28888365, 3510803, -28103278, -1158478, -11238128, -10631454, -15441463, -14453128, -1625486, -6494814), |
|
| 1026 | - ), |
|
| 1027 | - ), |
|
| 1028 | - array( |
|
| 1029 | - array( |
|
| 1030 | - array(793299, -9230478, 8836302, -6235707, -27360908, -2369593, 33152843, -4885251, -9906200, -621852), |
|
| 1031 | - array(5666233, 525582, 20782575, -8038419, -24538499, 14657740, 16099374, 1468826, -6171428, -15186581), |
|
| 1032 | - array(-4859255, -3779343, -2917758, -6748019, 7778750, 11688288, -30404353, -9871238, -1558923, -9863646), |
|
| 1033 | - ), |
|
| 1034 | - array( |
|
| 1035 | - array(10896332, -7719704, 824275, 472601, -19460308, 3009587, 25248958, 14783338, -30581476, -15757844), |
|
| 1036 | - array(10566929, 12612572, -31944212, 11118703, -12633376, 12362879, 21752402, 8822496, 24003793, 14264025), |
|
| 1037 | - array(27713862, -7355973, -11008240, 9227530, 27050101, 2504721, 23886875, -13117525, 13958495, -5732453), |
|
| 1038 | - ), |
|
| 1039 | - array( |
|
| 1040 | - array(-23481610, 4867226, -27247128, 3900521, 29838369, -8212291, -31889399, -10041781, 7340521, -15410068), |
|
| 1041 | - array(4646514, -8011124, -22766023, -11532654, 23184553, 8566613, 31366726, -1381061, -15066784, -10375192), |
|
| 1042 | - array(-17270517, 12723032, -16993061, 14878794, 21619651, -6197576, 27584817, 3093888, -8843694, 3849921), |
|
| 1043 | - ), |
|
| 1044 | - array( |
|
| 1045 | - array(-9064912, 2103172, 25561640, -15125738, -5239824, 9582958, 32477045, -9017955, 5002294, -15550259), |
|
| 1046 | - array(-12057553, -11177906, 21115585, -13365155, 8808712, -12030708, 16489530, 13378448, -25845716, 12741426), |
|
| 1047 | - array(-5946367, 10645103, -30911586, 15390284, -3286982, -7118677, 24306472, 15852464, 28834118, -7646072), |
|
| 1048 | - ), |
|
| 1049 | - array( |
|
| 1050 | - array(-17335748, -9107057, -24531279, 9434953, -8472084, -583362, -13090771, 455841, 20461858, 5491305), |
|
| 1051 | - array(13669248, -16095482, -12481974, -10203039, -14569770, -11893198, -24995986, 11293807, -28588204, -9421832), |
|
| 1052 | - array(28497928, 6272777, -33022994, 14470570, 8906179, -1225630, 18504674, -14165166, 29867745, -8795943), |
|
| 1053 | - ), |
|
| 1054 | - array( |
|
| 1055 | - array(-16207023, 13517196, -27799630, -13697798, 24009064, -6373891, -6367600, -13175392, 22853429, -4012011), |
|
| 1056 | - array(24191378, 16712145, -13931797, 15217831, 14542237, 1646131, 18603514, -11037887, 12876623, -2112447), |
|
| 1057 | - array(17902668, 4518229, -411702, -2829247, 26878217, 5258055, -12860753, 608397, 16031844, 3723494), |
|
| 1058 | - ), |
|
| 1059 | - array( |
|
| 1060 | - array(-28632773, 12763728, -20446446, 7577504, 33001348, -13017745, 17558842, -7872890, 23896954, -4314245), |
|
| 1061 | - array(-20005381, -12011952, 31520464, 605201, 2543521, 5991821, -2945064, 7229064, -9919646, -8826859), |
|
| 1062 | - array(28816045, 298879, -28165016, -15920938, 19000928, -1665890, -12680833, -2949325, -18051778, -2082915), |
|
| 1063 | - ), |
|
| 1064 | - array( |
|
| 1065 | - array(16000882, -344896, 3493092, -11447198, -29504595, -13159789, 12577740, 16041268, -19715240, 7847707), |
|
| 1066 | - array(10151868, 10572098, 27312476, 7922682, 14825339, 4723128, -32855931, -6519018, -10020567, 3852848), |
|
| 1067 | - array(-11430470, 15697596, -21121557, -4420647, 5386314, 15063598, 16514493, -15932110, 29330899, -15076224), |
|
| 1068 | - ), |
|
| 1069 | - ), |
|
| 1070 | - array( |
|
| 1071 | - array( |
|
| 1072 | - array(-25499735, -4378794, -15222908, -6901211, 16615731, 2051784, 3303702, 15490, -27548796, 12314391), |
|
| 1073 | - array(15683520, -6003043, 18109120, -9980648, 15337968, -5997823, -16717435, 15921866, 16103996, -3731215), |
|
| 1074 | - array(-23169824, -10781249, 13588192, -1628807, -3798557, -1074929, -19273607, 5402699, -29815713, -9841101), |
|
| 1075 | - ), |
|
| 1076 | - array( |
|
| 1077 | - array(23190676, 2384583, -32714340, 3462154, -29903655, -1529132, -11266856, 8911517, -25205859, 2739713), |
|
| 1078 | - array(21374101, -3554250, -33524649, 9874411, 15377179, 11831242, -33529904, 6134907, 4931255, 11987849), |
|
| 1079 | - array(-7732, -2978858, -16223486, 7277597, 105524, -322051, -31480539, 13861388, -30076310, 10117930), |
|
| 1080 | - ), |
|
| 1081 | - array( |
|
| 1082 | - array(-29501170, -10744872, -26163768, 13051539, -25625564, 5089643, -6325503, 6704079, 12890019, 15728940), |
|
| 1083 | - array(-21972360, -11771379, -951059, -4418840, 14704840, 2695116, 903376, -10428139, 12885167, 8311031), |
|
| 1084 | - array(-17516482, 5352194, 10384213, -13811658, 7506451, 13453191, 26423267, 4384730, 1888765, -5435404), |
|
| 1085 | - ), |
|
| 1086 | - array( |
|
| 1087 | - array(-25817338, -3107312, -13494599, -3182506, 30896459, -13921729, -32251644, -12707869, -19464434, -3340243), |
|
| 1088 | - array(-23607977, -2665774, -526091, 4651136, 5765089, 4618330, 6092245, 14845197, 17151279, -9854116), |
|
| 1089 | - array(-24830458, -12733720, -15165978, 10367250, -29530908, -265356, 22825805, -7087279, -16866484, 16176525), |
|
| 1090 | - ), |
|
| 1091 | - array( |
|
| 1092 | - array(-23583256, 6564961, 20063689, 3798228, -4740178, 7359225, 2006182, -10363426, -28746253, -10197509), |
|
| 1093 | - array(-10626600, -4486402, -13320562, -5125317, 3432136, -6393229, 23632037, -1940610, 32808310, 1099883), |
|
| 1094 | - array(15030977, 5768825, -27451236, -2887299, -6427378, -15361371, -15277896, -6809350, 2051441, -15225865), |
|
| 1095 | - ), |
|
| 1096 | - array( |
|
| 1097 | - array(-3362323, -7239372, 7517890, 9824992, 23555850, 295369, 5148398, -14154188, -22686354, 16633660), |
|
| 1098 | - array(4577086, -16752288, 13249841, -15304328, 19958763, -14537274, 18559670, -10759549, 8402478, -9864273), |
|
| 1099 | - array(-28406330, -1051581, -26790155, -907698, -17212414, -11030789, 9453451, -14980072, 17983010, 9967138), |
|
| 1100 | - ), |
|
| 1101 | - array( |
|
| 1102 | - array(-25762494, 6524722, 26585488, 9969270, 24709298, 1220360, -1677990, 7806337, 17507396, 3651560), |
|
| 1103 | - array(-10420457, -4118111, 14584639, 15971087, -15768321, 8861010, 26556809, -5574557, -18553322, -11357135), |
|
| 1104 | - array(2839101, 14284142, 4029895, 3472686, 14402957, 12689363, -26642121, 8459447, -5605463, -7621941), |
|
| 1105 | - ), |
|
| 1106 | - array( |
|
| 1107 | - array(-4839289, -3535444, 9744961, 2871048, 25113978, 3187018, -25110813, -849066, 17258084, -7977739), |
|
| 1108 | - array(18164541, -10595176, -17154882, -1542417, 19237078, -9745295, 23357533, -15217008, 26908270, 12150756), |
|
| 1109 | - array(-30264870, -7647865, 5112249, -7036672, -1499807, -6974257, 43168, -5537701, -32302074, 16215819), |
|
| 1110 | - ), |
|
| 1111 | - ), |
|
| 1112 | - array( |
|
| 1113 | - array( |
|
| 1114 | - array(-6898905, 9824394, -12304779, -4401089, -31397141, -6276835, 32574489, 12532905, -7503072, -8675347), |
|
| 1115 | - array(-27343522, -16515468, -27151524, -10722951, 946346, 16291093, 254968, 7168080, 21676107, -1943028), |
|
| 1116 | - array(21260961, -8424752, -16831886, -11920822, -23677961, 3968121, -3651949, -6215466, -3556191, -7913075), |
|
| 1117 | - ), |
|
| 1118 | - array( |
|
| 1119 | - array(16544754, 13250366, -16804428, 15546242, -4583003, 12757258, -2462308, -8680336, -18907032, -9662799), |
|
| 1120 | - array(-2415239, -15577728, 18312303, 4964443, -15272530, -12653564, 26820651, 16690659, 25459437, -4564609), |
|
| 1121 | - array(-25144690, 11425020, 28423002, -11020557, -6144921, -15826224, 9142795, -2391602, -6432418, -1644817), |
|
| 1122 | - ), |
|
| 1123 | - array( |
|
| 1124 | - array(-23104652, 6253476, 16964147, -3768872, -25113972, -12296437, -27457225, -16344658, 6335692, 7249989), |
|
| 1125 | - array(-30333227, 13979675, 7503222, -12368314, -11956721, -4621693, -30272269, 2682242, 25993170, -12478523), |
|
| 1126 | - array(4364628, 5930691, 32304656, -10044554, -8054781, 15091131, 22857016, -10598955, 31820368, 15075278), |
|
| 1127 | - ), |
|
| 1128 | - array( |
|
| 1129 | - array(31879134, -8918693, 17258761, 90626, -8041836, -4917709, 24162788, -9650886, -17970238, 12833045), |
|
| 1130 | - array(19073683, 14851414, -24403169, -11860168, 7625278, 11091125, -19619190, 2074449, -9413939, 14905377), |
|
| 1131 | - array(24483667, -11935567, -2518866, -11547418, -1553130, 15355506, -25282080, 9253129, 27628530, -7555480), |
|
| 1132 | - ), |
|
| 1133 | - array( |
|
| 1134 | - array(17597607, 8340603, 19355617, 552187, 26198470, -3176583, 4593324, -9157582, -14110875, 15297016), |
|
| 1135 | - array(510886, 14337390, -31785257, 16638632, 6328095, 2713355, -20217417, -11864220, 8683221, 2921426), |
|
| 1136 | - array(18606791, 11874196, 27155355, -5281482, -24031742, 6265446, -25178240, -1278924, 4674690, 13890525), |
|
| 1137 | - ), |
|
| 1138 | - array( |
|
| 1139 | - array(13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396), |
|
| 1140 | - array(9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080), |
|
| 1141 | - array(12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892), |
|
| 1142 | - ), |
|
| 1143 | - array( |
|
| 1144 | - array(15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275), |
|
| 1145 | - array(11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074), |
|
| 1146 | - array(20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140), |
|
| 1147 | - ), |
|
| 1148 | - array( |
|
| 1149 | - array(-16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717), |
|
| 1150 | - array(-1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101), |
|
| 1151 | - array(24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127), |
|
| 1152 | - ), |
|
| 1153 | - ), |
|
| 1154 | - array( |
|
| 1155 | - array( |
|
| 1156 | - array(-12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632), |
|
| 1157 | - array(-26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415), |
|
| 1158 | - array(-31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160), |
|
| 1159 | - ), |
|
| 1160 | - array( |
|
| 1161 | - array(31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876), |
|
| 1162 | - array(22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625), |
|
| 1163 | - array(-15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478), |
|
| 1164 | - ), |
|
| 1165 | - array( |
|
| 1166 | - array(27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164), |
|
| 1167 | - array(26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595), |
|
| 1168 | - array(-7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248), |
|
| 1169 | - ), |
|
| 1170 | - array( |
|
| 1171 | - array(-16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858), |
|
| 1172 | - array(15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193), |
|
| 1173 | - array(8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184), |
|
| 1174 | - ), |
|
| 1175 | - array( |
|
| 1176 | - array(-18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942), |
|
| 1177 | - array(-1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635), |
|
| 1178 | - array(21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948), |
|
| 1179 | - ), |
|
| 1180 | - array( |
|
| 1181 | - array(11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935), |
|
| 1182 | - array(-25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415), |
|
| 1183 | - array(-15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416), |
|
| 1184 | - ), |
|
| 1185 | - array( |
|
| 1186 | - array(-7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018), |
|
| 1187 | - array(4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778), |
|
| 1188 | - array(366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659), |
|
| 1189 | - ), |
|
| 1190 | - array( |
|
| 1191 | - array(-24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385), |
|
| 1192 | - array(18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503), |
|
| 1193 | - array(476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329), |
|
| 1194 | - ), |
|
| 1195 | - ), |
|
| 1196 | - array( |
|
| 1197 | - array( |
|
| 1198 | - array(20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056), |
|
| 1199 | - array(-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838), |
|
| 1200 | - array(24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948), |
|
| 1201 | - ), |
|
| 1202 | - array( |
|
| 1203 | - array(-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691), |
|
| 1204 | - array(-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118), |
|
| 1205 | - array(-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517), |
|
| 1206 | - ), |
|
| 1207 | - array( |
|
| 1208 | - array(-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269), |
|
| 1209 | - array(-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904), |
|
| 1210 | - array(-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589), |
|
| 1211 | - ), |
|
| 1212 | - array( |
|
| 1213 | - array(-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193), |
|
| 1214 | - array(-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910), |
|
| 1215 | - array(-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930), |
|
| 1216 | - ), |
|
| 1217 | - array( |
|
| 1218 | - array(-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667), |
|
| 1219 | - array(25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481), |
|
| 1220 | - array(-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876), |
|
| 1221 | - ), |
|
| 1222 | - array( |
|
| 1223 | - array(22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640), |
|
| 1224 | - array(-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278), |
|
| 1225 | - array(-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112), |
|
| 1226 | - ), |
|
| 1227 | - array( |
|
| 1228 | - array(26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272), |
|
| 1229 | - array(17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012), |
|
| 1230 | - array(-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221), |
|
| 1231 | - ), |
|
| 1232 | - array( |
|
| 1233 | - array(30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046), |
|
| 1234 | - array(13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345), |
|
| 1235 | - array(-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310), |
|
| 1236 | - ), |
|
| 1237 | - ), |
|
| 1238 | - array( |
|
| 1239 | - array( |
|
| 1240 | - array(19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937), |
|
| 1241 | - array(31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636), |
|
| 1242 | - array(-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008), |
|
| 1243 | - ), |
|
| 1244 | - array( |
|
| 1245 | - array(-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429), |
|
| 1246 | - array(-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576), |
|
| 1247 | - array(31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066), |
|
| 1248 | - ), |
|
| 1249 | - array( |
|
| 1250 | - array(-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490), |
|
| 1251 | - array(-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104), |
|
| 1252 | - array(33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053), |
|
| 1253 | - ), |
|
| 1254 | - array( |
|
| 1255 | - array(31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275), |
|
| 1256 | - array(-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511), |
|
| 1257 | - array(22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095), |
|
| 1258 | - ), |
|
| 1259 | - array( |
|
| 1260 | - array(-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439), |
|
| 1261 | - array(23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939), |
|
| 1262 | - array(-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424), |
|
| 1263 | - ), |
|
| 1264 | - array( |
|
| 1265 | - array(2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310), |
|
| 1266 | - array(3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608), |
|
| 1267 | - array(-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079), |
|
| 1268 | - ), |
|
| 1269 | - array( |
|
| 1270 | - array(-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101), |
|
| 1271 | - array(21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418), |
|
| 1272 | - array(18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576), |
|
| 1273 | - ), |
|
| 1274 | - array( |
|
| 1275 | - array(30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356), |
|
| 1276 | - array(9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996), |
|
| 1277 | - array(-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099), |
|
| 1278 | - ), |
|
| 1279 | - ), |
|
| 1280 | - array( |
|
| 1281 | - array( |
|
| 1282 | - array(-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728), |
|
| 1283 | - array(-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658), |
|
| 1284 | - array(-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242), |
|
| 1285 | - ), |
|
| 1286 | - array( |
|
| 1287 | - array(-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001), |
|
| 1288 | - array(-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766), |
|
| 1289 | - array(18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373), |
|
| 1290 | - ), |
|
| 1291 | - array( |
|
| 1292 | - array(26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458), |
|
| 1293 | - array(-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628), |
|
| 1294 | - array(-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657), |
|
| 1295 | - ), |
|
| 1296 | - array( |
|
| 1297 | - array(-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062), |
|
| 1298 | - array(25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616), |
|
| 1299 | - array(31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014), |
|
| 1300 | - ), |
|
| 1301 | - array( |
|
| 1302 | - array(24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383), |
|
| 1303 | - array(-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814), |
|
| 1304 | - array(-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718), |
|
| 1305 | - ), |
|
| 1306 | - array( |
|
| 1307 | - array(30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417), |
|
| 1308 | - array(2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222), |
|
| 1309 | - array(33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444), |
|
| 1310 | - ), |
|
| 1311 | - array( |
|
| 1312 | - array(-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597), |
|
| 1313 | - array(23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970), |
|
| 1314 | - array(1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799), |
|
| 1315 | - ), |
|
| 1316 | - array( |
|
| 1317 | - array(-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647), |
|
| 1318 | - array(13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511), |
|
| 1319 | - array(-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032), |
|
| 1320 | - ), |
|
| 1321 | - ), |
|
| 1322 | - array( |
|
| 1323 | - array( |
|
| 1324 | - array(9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834), |
|
| 1325 | - array(-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461), |
|
| 1326 | - array(29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062), |
|
| 1327 | - ), |
|
| 1328 | - array( |
|
| 1329 | - array(-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516), |
|
| 1330 | - array(-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547), |
|
| 1331 | - array(-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240), |
|
| 1332 | - ), |
|
| 1333 | - array( |
|
| 1334 | - array(-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038), |
|
| 1335 | - array(-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741), |
|
| 1336 | - array(16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103), |
|
| 1337 | - ), |
|
| 1338 | - array( |
|
| 1339 | - array(-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747), |
|
| 1340 | - array(-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323), |
|
| 1341 | - array(31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016), |
|
| 1342 | - ), |
|
| 1343 | - array( |
|
| 1344 | - array(-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373), |
|
| 1345 | - array(15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228), |
|
| 1346 | - array(-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141), |
|
| 1347 | - ), |
|
| 1348 | - array( |
|
| 1349 | - array(16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399), |
|
| 1350 | - array(11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831), |
|
| 1351 | - array(-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376), |
|
| 1352 | - ), |
|
| 1353 | - array( |
|
| 1354 | - array(-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313), |
|
| 1355 | - array(-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958), |
|
| 1356 | - array(-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577), |
|
| 1357 | - ), |
|
| 1358 | - array( |
|
| 1359 | - array(-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743), |
|
| 1360 | - array(29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684), |
|
| 1361 | - array(-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476), |
|
| 1362 | - ), |
|
| 1363 | - ) |
|
| 1364 | - ); |
|
| 14 | + /** |
|
| 15 | + * See: libsodium's crypto_core/curve25519/ref10/base.h |
|
| 16 | + * |
|
| 17 | + * @var array<int, array<int, array<int, array<int, int>>>> Basically, int[32][8][3][10] |
|
| 18 | + */ |
|
| 19 | + protected static $base = array( |
|
| 20 | + array( |
|
| 21 | + array( |
|
| 22 | + array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), |
|
| 23 | + array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), |
|
| 24 | + array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), |
|
| 25 | + ), |
|
| 26 | + array( |
|
| 27 | + array(-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303), |
|
| 28 | + array(-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081), |
|
| 29 | + array(26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697), |
|
| 30 | + ), |
|
| 31 | + array( |
|
| 32 | + array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), |
|
| 33 | + array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), |
|
| 34 | + array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), |
|
| 35 | + ), |
|
| 36 | + array( |
|
| 37 | + array(-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540), |
|
| 38 | + array(23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397), |
|
| 39 | + array(7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325), |
|
| 40 | + ), |
|
| 41 | + array( |
|
| 42 | + array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), |
|
| 43 | + array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), |
|
| 44 | + array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), |
|
| 45 | + ), |
|
| 46 | + array( |
|
| 47 | + array(-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777), |
|
| 48 | + array(-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737), |
|
| 49 | + array(-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652), |
|
| 50 | + ), |
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| 51 | + array( |
|
| 52 | + array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), |
|
| 53 | + array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), |
|
| 54 | + array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), |
|
| 55 | + ), |
|
| 56 | + array( |
|
| 57 | + array(14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726), |
|
| 58 | + array(-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955), |
|
| 59 | + array(27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425), |
|
| 60 | + ), |
|
| 61 | + ), |
|
| 62 | + array( |
|
| 63 | + array( |
|
| 64 | + array(-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171), |
|
| 65 | + array(27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510), |
|
| 66 | + array(17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660), |
|
| 67 | + ), |
|
| 68 | + array( |
|
| 69 | + array(-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639), |
|
| 70 | + array(29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963), |
|
| 71 | + array(5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950), |
|
| 72 | + ), |
|
| 73 | + array( |
|
| 74 | + array(-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568), |
|
| 75 | + array(12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335), |
|
| 76 | + array(25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628), |
|
| 77 | + ), |
|
| 78 | + array( |
|
| 79 | + array(-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007), |
|
| 80 | + array(-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772), |
|
| 81 | + array(-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653), |
|
| 82 | + ), |
|
| 83 | + array( |
|
| 84 | + array(2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567), |
|
| 85 | + array(13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686), |
|
| 86 | + array(21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372), |
|
| 87 | + ), |
|
| 88 | + array( |
|
| 89 | + array(-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887), |
|
| 90 | + array(-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954), |
|
| 91 | + array(-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953), |
|
| 92 | + ), |
|
| 93 | + array( |
|
| 94 | + array(24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833), |
|
| 95 | + array(-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532), |
|
| 96 | + array(-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876), |
|
| 97 | + ), |
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|
| 99 | + array(2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268), |
|
| 100 | + array(33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214), |
|
| 101 | + array(1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038), |
|
| 102 | + ), |
|
| 103 | + ), |
|
| 104 | + array( |
|
| 105 | + array( |
|
| 106 | + array(6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800), |
|
| 107 | + array(4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645), |
|
| 108 | + array(-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664), |
|
| 109 | + ), |
|
| 110 | + array( |
|
| 111 | + array(1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933), |
|
| 112 | + array(-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182), |
|
| 113 | + array(-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222), |
|
| 114 | + ), |
|
| 115 | + array( |
|
| 116 | + array(-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991), |
|
| 117 | + array(20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880), |
|
| 118 | + array(9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092), |
|
| 119 | + ), |
|
| 120 | + array( |
|
| 121 | + array(-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295), |
|
| 122 | + array(19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788), |
|
| 123 | + array(8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553), |
|
| 124 | + ), |
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|
| 126 | + array(-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026), |
|
| 127 | + array(11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347), |
|
| 128 | + array(-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033), |
|
| 129 | + ), |
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| 130 | + array( |
|
| 131 | + array(-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395), |
|
| 132 | + array(-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278), |
|
| 133 | + array(1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890), |
|
| 134 | + ), |
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| 135 | + array( |
|
| 136 | + array(32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995), |
|
| 137 | + array(-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596), |
|
| 138 | + array(-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891), |
|
| 139 | + ), |
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| 140 | + array( |
|
| 141 | + array(31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060), |
|
| 142 | + array(11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608), |
|
| 143 | + array(-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606), |
|
| 144 | + ), |
|
| 145 | + ), |
|
| 146 | + array( |
|
| 147 | + array( |
|
| 148 | + array(7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389), |
|
| 149 | + array(-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016), |
|
| 150 | + array(-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341), |
|
| 151 | + ), |
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| 152 | + array( |
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| 153 | + array(-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505), |
|
| 154 | + array(14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553), |
|
| 155 | + array(-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655), |
|
| 156 | + ), |
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| 157 | + array( |
|
| 158 | + array(15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220), |
|
| 159 | + array(12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631), |
|
| 160 | + array(-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099), |
|
| 161 | + ), |
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| 162 | + array( |
|
| 163 | + array(26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556), |
|
| 164 | + array(14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749), |
|
| 165 | + array(236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930), |
|
| 166 | + ), |
|
| 167 | + array( |
|
| 168 | + array(1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391), |
|
| 169 | + array(5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253), |
|
| 170 | + array(20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066), |
|
| 171 | + ), |
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| 172 | + array( |
|
| 173 | + array(24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958), |
|
| 174 | + array(-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082), |
|
| 175 | + array(-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383), |
|
| 176 | + ), |
|
| 177 | + array( |
|
| 178 | + array(-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521), |
|
| 179 | + array(-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807), |
|
| 180 | + array(23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948), |
|
| 181 | + ), |
|
| 182 | + array( |
|
| 183 | + array(9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134), |
|
| 184 | + array(-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455), |
|
| 185 | + array(27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629), |
|
| 186 | + ), |
|
| 187 | + ), |
|
| 188 | + array( |
|
| 189 | + array( |
|
| 190 | + array(-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069), |
|
| 191 | + array(-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746), |
|
| 192 | + array(24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919), |
|
| 193 | + ), |
|
| 194 | + array( |
|
| 195 | + array(11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837), |
|
| 196 | + array(8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906), |
|
| 197 | + array(-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771), |
|
| 198 | + ), |
|
| 199 | + array( |
|
| 200 | + array(-25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817), |
|
| 201 | + array(10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098), |
|
| 202 | + array(10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409), |
|
| 203 | + ), |
|
| 204 | + array( |
|
| 205 | + array(-12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504), |
|
| 206 | + array(-26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 15341279, 8373727), |
|
| 207 | + array(28685821, 7759505, -14378516, -12002860, -31971820, 4079242, 298136, -10232602, -2878207, 15190420), |
|
| 208 | + ), |
|
| 209 | + array( |
|
| 210 | + array(-32932876, 13806336, -14337485, -15794431, -24004620, 10940928, 8669718, 2742393, -26033313, -6875003), |
|
| 211 | + array(-1580388, -11729417, -25979658, -11445023, -17411874, -10912854, 9291594, -16247779, -12154742, 6048605), |
|
| 212 | + array(-30305315, 14843444, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 11213262, 9168384), |
|
| 213 | + ), |
|
| 214 | + array( |
|
| 215 | + array(-26280513, 11007847, 19408960, -940758, -18592965, -4328580, -5088060, -11105150, 20470157, -16398701), |
|
| 216 | + array(-23136053, 9282192, 14855179, -15390078, -7362815, -14408560, -22783952, 14461608, 14042978, 5230683), |
|
| 217 | + array(29969567, -2741594, -16711867, -8552442, 9175486, -2468974, 21556951, 3506042, -5933891, -12449708), |
|
| 218 | + ), |
|
| 219 | + array( |
|
| 220 | + array(-3144746, 8744661, 19704003, 4581278, -20430686, 6830683, -21284170, 8971513, -28539189, 15326563), |
|
| 221 | + array(-19464629, 10110288, -17262528, -3503892, -23500387, 1355669, -15523050, 15300988, -20514118, 9168260), |
|
| 222 | + array(-5353335, 4488613, -23803248, 16314347, 7780487, -15638939, -28948358, 9601605, 33087103, -9011387), |
|
| 223 | + ), |
|
| 224 | + array( |
|
| 225 | + array(-19443170, -15512900, -20797467, -12445323, -29824447, 10229461, -27444329, -15000531, -5996870, 15664672), |
|
| 226 | + array(23294591, -16632613, -22650781, -8470978, 27844204, 11461195, 13099750, -2460356, 18151676, 13417686), |
|
| 227 | + array(-24722913, -4176517, -31150679, 5988919, -26858785, 6685065, 1661597, -12551441, 15271676, -15452665), |
|
| 228 | + ), |
|
| 229 | + ), |
|
| 230 | + array( |
|
| 231 | + array( |
|
| 232 | + array(11433042, -13228665, 8239631, -5279517, -1985436, -725718, -18698764, 2167544, -6921301, -13440182), |
|
| 233 | + array(-31436171, 15575146, 30436815, 12192228, -22463353, 9395379, -9917708, -8638997, 12215110, 12028277), |
|
| 234 | + array(14098400, 6555944, 23007258, 5757252, -15427832, -12950502, 30123440, 4617780, -16900089, -655628), |
|
| 235 | + ), |
|
| 236 | + array( |
|
| 237 | + array(-4026201, -15240835, 11893168, 13718664, -14809462, 1847385, -15819999, 10154009, 23973261, -12684474), |
|
| 238 | + array(-26531820, -3695990, -1908898, 2534301, -31870557, -16550355, 18341390, -11419951, 32013174, -10103539), |
|
| 239 | + array(-25479301, 10876443, -11771086, -14625140, -12369567, 1838104, 21911214, 6354752, 4425632, -837822), |
|
| 240 | + ), |
|
| 241 | + array( |
|
| 242 | + array(-10433389, -14612966, 22229858, -3091047, -13191166, 776729, -17415375, -12020462, 4725005, 14044970), |
|
| 243 | + array(19268650, -7304421, 1555349, 8692754, -21474059, -9910664, 6347390, -1411784, -19522291, -16109756), |
|
| 244 | + array(-24864089, 12986008, -10898878, -5558584, -11312371, -148526, 19541418, 8180106, 9282262, 10282508), |
|
| 245 | + ), |
|
| 246 | + array( |
|
| 247 | + array(-26205082, 4428547, -8661196, -13194263, 4098402, -14165257, 15522535, 8372215, 5542595, -10702683), |
|
| 248 | + array(-10562541, 14895633, 26814552, -16673850, -17480754, -2489360, -2781891, 6993761, -18093885, 10114655), |
|
| 249 | + array(-20107055, -929418, 31422704, 10427861, -7110749, 6150669, -29091755, -11529146, 25953725, -106158), |
|
| 250 | + ), |
|
| 251 | + array( |
|
| 252 | + array(-4234397, -8039292, -9119125, 3046000, 2101609, -12607294, 19390020, 6094296, -3315279, 12831125), |
|
| 253 | + array(-15998678, 7578152, 5310217, 14408357, -33548620, -224739, 31575954, 6326196, 7381791, -2421839), |
|
| 254 | + array(-20902779, 3296811, 24736065, -16328389, 18374254, 7318640, 6295303, 8082724, -15362489, 12339664), |
|
| 255 | + ), |
|
| 256 | + array( |
|
| 257 | + array(27724736, 2291157, 6088201, -14184798, 1792727, 5857634, 13848414, 15768922, 25091167, 14856294), |
|
| 258 | + array(-18866652, 8331043, 24373479, 8541013, -701998, -9269457, 12927300, -12695493, -22182473, -9012899), |
|
| 259 | + array(-11423429, -5421590, 11632845, 3405020, 30536730, -11674039, -27260765, 13866390, 30146206, 9142070), |
|
| 260 | + ), |
|
| 261 | + array( |
|
| 262 | + array(3924129, -15307516, -13817122, -10054960, 12291820, -668366, -27702774, 9326384, -8237858, 4171294), |
|
| 263 | + array(-15921940, 16037937, 6713787, 16606682, -21612135, 2790944, 26396185, 3731949, 345228, -5462949), |
|
| 264 | + array(-21327538, 13448259, 25284571, 1143661, 20614966, -8849387, 2031539, -12391231, -16253183, -13582083), |
|
| 265 | + ), |
|
| 266 | + array( |
|
| 267 | + array(31016211, -16722429, 26371392, -14451233, -5027349, 14854137, 17477601, 3842657, 28012650, -16405420), |
|
| 268 | + array(-5075835, 9368966, -8562079, -4600902, -15249953, 6970560, -9189873, 16292057, -8867157, 3507940), |
|
| 269 | + array(29439664, 3537914, 23333589, 6997794, -17555561, -11018068, -15209202, -15051267, -9164929, 6580396), |
|
| 270 | + ), |
|
| 271 | + ), |
|
| 272 | + array( |
|
| 273 | + array( |
|
| 274 | + array(-12185861, -7679788, 16438269, 10826160, -8696817, -6235611, 17860444, -9273846, -2095802, 9304567), |
|
| 275 | + array(20714564, -4336911, 29088195, 7406487, 11426967, -5095705, 14792667, -14608617, 5289421, -477127), |
|
| 276 | + array(-16665533, -10650790, -6160345, -13305760, 9192020, -1802462, 17271490, 12349094, 26939669, -3752294), |
|
| 277 | + ), |
|
| 278 | + array( |
|
| 279 | + array(-12889898, 9373458, 31595848, 16374215, 21471720, 13221525, -27283495, -12348559, -3698806, 117887), |
|
| 280 | + array(22263325, -6560050, 3984570, -11174646, -15114008, -566785, 28311253, 5358056, -23319780, 541964), |
|
| 281 | + array(16259219, 3261970, 2309254, -15534474, -16885711, -4581916, 24134070, -16705829, -13337066, -13552195), |
|
| 282 | + ), |
|
| 283 | + array( |
|
| 284 | + array(9378160, -13140186, -22845982, -12745264, 28198281, -7244098, -2399684, -717351, 690426, 14876244), |
|
| 285 | + array(24977353, -314384, -8223969, -13465086, 28432343, -1176353, -13068804, -12297348, -22380984, 6618999), |
|
| 286 | + array(-1538174, 11685646, 12944378, 13682314, -24389511, -14413193, 8044829, -13817328, 32239829, -5652762), |
|
| 287 | + ), |
|
| 288 | + array( |
|
| 289 | + array(-18603066, 4762990, -926250, 8885304, -28412480, -3187315, 9781647, -10350059, 32779359, 5095274), |
|
| 290 | + array(-33008130, -5214506, -32264887, -3685216, 9460461, -9327423, -24601656, 14506724, 21639561, -2630236), |
|
| 291 | + array(-16400943, -13112215, 25239338, 15531969, 3987758, -4499318, -1289502, -6863535, 17874574, 558605), |
|
| 292 | + ), |
|
| 293 | + array( |
|
| 294 | + array(-13600129, 10240081, 9171883, 16131053, -20869254, 9599700, 33499487, 5080151, 2085892, 5119761), |
|
| 295 | + array(-22205145, -2519528, -16381601, 414691, -25019550, 2170430, 30634760, -8363614, -31999993, -5759884), |
|
| 296 | + array(-6845704, 15791202, 8550074, -1312654, 29928809, -12092256, 27534430, -7192145, -22351378, 12961482), |
|
| 297 | + ), |
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| 298 | + array( |
|
| 299 | + array(-24492060, -9570771, 10368194, 11582341, -23397293, -2245287, 16533930, 8206996, -30194652, -5159638), |
|
| 300 | + array(-11121496, -3382234, 2307366, 6362031, -135455, 8868177, -16835630, 7031275, 7589640, 8945490), |
|
| 301 | + array(-32152748, 8917967, 6661220, -11677616, -1192060, -15793393, 7251489, -11182180, 24099109, -14456170), |
|
| 302 | + ), |
|
| 303 | + array( |
|
| 304 | + array(5019558, -7907470, 4244127, -14714356, -26933272, 6453165, -19118182, -13289025, -6231896, -10280736), |
|
| 305 | + array(10853594, 10721687, 26480089, 5861829, -22995819, 1972175, -1866647, -10557898, -3363451, -6441124), |
|
| 306 | + array(-17002408, 5906790, 221599, -6563147, 7828208, -13248918, 24362661, -2008168, -13866408, 7421392), |
|
| 307 | + ), |
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| 308 | + array( |
|
| 309 | + array(8139927, -6546497, 32257646, -5890546, 30375719, 1886181, -21175108, 15441252, 28826358, -4123029), |
|
| 310 | + array(6267086, 9695052, 7709135, -16603597, -32869068, -1886135, 14795160, -7840124, 13746021, -1742048), |
|
| 311 | + array(28584902, 7787108, -6732942, -15050729, 22846041, -7571236, -3181936, -363524, 4771362, -8419958), |
|
| 312 | + ), |
|
| 313 | + ), |
|
| 314 | + array( |
|
| 315 | + array( |
|
| 316 | + array(24949256, 6376279, -27466481, -8174608, -18646154, -9930606, 33543569, -12141695, 3569627, 11342593), |
|
| 317 | + array(26514989, 4740088, 27912651, 3697550, 19331575, -11472339, 6809886, 4608608, 7325975, -14801071), |
|
| 318 | + array(-11618399, -14554430, -24321212, 7655128, -1369274, 5214312, -27400540, 10258390, -17646694, -8186692), |
|
| 319 | + ), |
|
| 320 | + array( |
|
| 321 | + array(11431204, 15823007, 26570245, 14329124, 18029990, 4796082, -31446179, 15580664, 9280358, -3973687), |
|
| 322 | + array(-160783, -10326257, -22855316, -4304997, -20861367, -13621002, -32810901, -11181622, -15545091, 4387441), |
|
| 323 | + array(-20799378, 12194512, 3937617, -5805892, -27154820, 9340370, -24513992, 8548137, 20617071, -7482001), |
|
| 324 | + ), |
|
| 325 | + array( |
|
| 326 | + array(-938825, -3930586, -8714311, 16124718, 24603125, -6225393, -13775352, -11875822, 24345683, 10325460), |
|
| 327 | + array(-19855277, -1568885, -22202708, 8714034, 14007766, 6928528, 16318175, -1010689, 4766743, 3552007), |
|
| 328 | + array(-21751364, -16730916, 1351763, -803421, -4009670, 3950935, 3217514, 14481909, 10988822, -3994762), |
|
| 329 | + ), |
|
| 330 | + array( |
|
| 331 | + array(15564307, -14311570, 3101243, 5684148, 30446780, -8051356, 12677127, -6505343, -8295852, 13296005), |
|
| 332 | + array(-9442290, 6624296, -30298964, -11913677, -4670981, -2057379, 31521204, 9614054, -30000824, 12074674), |
|
| 333 | + array(4771191, -135239, 14290749, -13089852, 27992298, 14998318, -1413936, -1556716, 29832613, -16391035), |
|
| 334 | + ), |
|
| 335 | + array( |
|
| 336 | + array(7064884, -7541174, -19161962, -5067537, -18891269, -2912736, 25825242, 5293297, -27122660, 13101590), |
|
| 337 | + array(-2298563, 2439670, -7466610, 1719965, -27267541, -16328445, 32512469, -5317593, -30356070, -4190957), |
|
| 338 | + array(-30006540, 10162316, -33180176, 3981723, -16482138, -13070044, 14413974, 9515896, 19568978, 9628812), |
|
| 339 | + ), |
|
| 340 | + array( |
|
| 341 | + array(33053803, 199357, 15894591, 1583059, 27380243, -4580435, -17838894, -6106839, -6291786, 3437740), |
|
| 342 | + array(-18978877, 3884493, 19469877, 12726490, 15913552, 13614290, -22961733, 70104, 7463304, 4176122), |
|
| 343 | + array(-27124001, 10659917, 11482427, -16070381, 12771467, -6635117, -32719404, -5322751, 24216882, 5944158), |
|
| 344 | + ), |
|
| 345 | + array( |
|
| 346 | + array(8894125, 7450974, -2664149, -9765752, -28080517, -12389115, 19345746, 14680796, 11632993, 5847885), |
|
| 347 | + array(26942781, -2315317, 9129564, -4906607, 26024105, 11769399, -11518837, 6367194, -9727230, 4782140), |
|
| 348 | + array(19916461, -4828410, -22910704, -11414391, 25606324, -5972441, 33253853, 8220911, 6358847, -1873857), |
|
| 349 | + ), |
|
| 350 | + array( |
|
| 351 | + array(801428, -2081702, 16569428, 11065167, 29875704, 96627, 7908388, -4480480, -13538503, 1387155), |
|
| 352 | + array(19646058, 5720633, -11416706, 12814209, 11607948, 12749789, 14147075, 15156355, -21866831, 11835260), |
|
| 353 | + array(19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869, -26560550, 5052483), |
|
| 354 | + ), |
|
| 355 | + ), |
|
| 356 | + array( |
|
| 357 | + array( |
|
| 358 | + array(-3017432, 10058206, 1980837, 3964243, 22160966, 12322533, -6431123, -12618185, 12228557, -7003677), |
|
| 359 | + array(32944382, 14922211, -22844894, 5188528, 21913450, -8719943, 4001465, 13238564, -6114803, 8653815), |
|
| 360 | + array(22865569, -4652735, 27603668, -12545395, 14348958, 8234005, 24808405, 5719875, 28483275, 2841751), |
|
| 361 | + ), |
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| 362 | + array( |
|
| 363 | + array(-16420968, -1113305, -327719, -12107856, 21886282, -15552774, -1887966, -315658, 19932058, -12739203), |
|
| 364 | + array(-11656086, 10087521, -8864888, -5536143, -19278573, -3055912, 3999228, 13239134, -4777469, -13910208), |
|
| 365 | + array(1382174, -11694719, 17266790, 9194690, -13324356, 9720081, 20403944, 11284705, -14013818, 3093230), |
|
| 366 | + ), |
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| 367 | + array( |
|
| 368 | + array(16650921, -11037932, -1064178, 1570629, -8329746, 7352753, -302424, 16271225, -24049421, -6691850), |
|
| 369 | + array(-21911077, -5927941, -4611316, -5560156, -31744103, -10785293, 24123614, 15193618, -21652117, -16739389), |
|
| 370 | + array(-9935934, -4289447, -25279823, 4372842, 2087473, 10399484, 31870908, 14690798, 17361620, 11864968), |
|
| 371 | + ), |
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| 372 | + array( |
|
| 373 | + array(-11307610, 6210372, 13206574, 5806320, -29017692, -13967200, -12331205, -7486601, -25578460, -16240689), |
|
| 374 | + array(14668462, -12270235, 26039039, 15305210, 25515617, 4542480, 10453892, 6577524, 9145645, -6443880), |
|
| 375 | + array(5974874, 3053895, -9433049, -10385191, -31865124, 3225009, -7972642, 3936128, -5652273, -3050304), |
|
| 376 | + ), |
|
| 377 | + array( |
|
| 378 | + array(30625386, -4729400, -25555961, -12792866, -20484575, 7695099, 17097188, -16303496, -27999779, 1803632), |
|
| 379 | + array(-3553091, 9865099, -5228566, 4272701, -5673832, -16689700, 14911344, 12196514, -21405489, 7047412), |
|
| 380 | + array(20093277, 9920966, -11138194, -5343857, 13161587, 12044805, -32856851, 4124601, -32343828, -10257566), |
|
| 381 | + ), |
|
| 382 | + array( |
|
| 383 | + array(-20788824, 14084654, -13531713, 7842147, 19119038, -13822605, 4752377, -8714640, -21679658, 2288038), |
|
| 384 | + array(-26819236, -3283715, 29965059, 3039786, -14473765, 2540457, 29457502, 14625692, -24819617, 12570232), |
|
| 385 | + array(-1063558, -11551823, 16920318, 12494842, 1278292, -5869109, -21159943, -3498680, -11974704, 4724943), |
|
| 386 | + ), |
|
| 387 | + array( |
|
| 388 | + array(17960970, -11775534, -4140968, -9702530, -8876562, -1410617, -12907383, -8659932, -29576300, 1903856), |
|
| 389 | + array(23134274, -14279132, -10681997, -1611936, 20684485, 15770816, -12989750, 3190296, 26955097, 14109738), |
|
| 390 | + array(15308788, 5320727, -30113809, -14318877, 22902008, 7767164, 29425325, -11277562, 31960942, 11934971), |
|
| 391 | + ), |
|
| 392 | + array( |
|
| 393 | + array(-27395711, 8435796, 4109644, 12222639, -24627868, 14818669, 20638173, 4875028, 10491392, 1379718), |
|
| 394 | + array(-13159415, 9197841, 3875503, -8936108, -1383712, -5879801, 33518459, 16176658, 21432314, 12180697), |
|
| 395 | + array(-11787308, 11500838, 13787581, -13832590, -22430679, 10140205, 1465425, 12689540, -10301319, -13872883), |
|
| 396 | + ), |
|
| 397 | + ), |
|
| 398 | + array( |
|
| 399 | + array( |
|
| 400 | + array(5414091, -15386041, -21007664, 9643570, 12834970, 1186149, -2622916, -1342231, 26128231, 6032912), |
|
| 401 | + array(-26337395, -13766162, 32496025, -13653919, 17847801, -12669156, 3604025, 8316894, -25875034, -10437358), |
|
| 402 | + array(3296484, 6223048, 24680646, -12246460, -23052020, 5903205, -8862297, -4639164, 12376617, 3188849), |
|
| 403 | + ), |
|
| 404 | + array( |
|
| 405 | + array(29190488, -14659046, 27549113, -1183516, 3520066, -10697301, 32049515, -7309113, -16109234, -9852307), |
|
| 406 | + array(-14744486, -9309156, 735818, -598978, -20407687, -5057904, 25246078, -15795669, 18640741, -960977), |
|
| 407 | + array(-6928835, -16430795, 10361374, 5642961, 4910474, 12345252, -31638386, -494430, 10530747, 1053335), |
|
| 408 | + ), |
|
| 409 | + array( |
|
| 410 | + array(-29265967, -14186805, -13538216, -12117373, -19457059, -10655384, -31462369, -2948985, 24018831, 15026644), |
|
| 411 | + array(-22592535, -3145277, -2289276, 5953843, -13440189, 9425631, 25310643, 13003497, -2314791, -15145616), |
|
| 412 | + array(-27419985, -603321, -8043984, -1669117, -26092265, 13987819, -27297622, 187899, -23166419, -2531735), |
|
| 413 | + ), |
|
| 414 | + array( |
|
| 415 | + array(-21744398, -13810475, 1844840, 5021428, -10434399, -15911473, 9716667, 16266922, -5070217, 726099), |
|
| 416 | + array(29370922, -6053998, 7334071, -15342259, 9385287, 2247707, -13661962, -4839461, 30007388, -15823341), |
|
| 417 | + array(-936379, 16086691, 23751945, -543318, -1167538, -5189036, 9137109, 730663, 9835848, 4555336), |
|
| 418 | + ), |
|
| 419 | + array( |
|
| 420 | + array(-23376435, 1410446, -22253753, -12899614, 30867635, 15826977, 17693930, 544696, -11985298, 12422646), |
|
| 421 | + array(31117226, -12215734, -13502838, 6561947, -9876867, -12757670, -5118685, -4096706, 29120153, 13924425), |
|
| 422 | + array(-17400879, -14233209, 19675799, -2734756, -11006962, -5858820, -9383939, -11317700, 7240931, -237388), |
|
| 423 | + ), |
|
| 424 | + array( |
|
| 425 | + array(-31361739, -11346780, -15007447, -5856218, -22453340, -12152771, 1222336, 4389483, 3293637, -15551743), |
|
| 426 | + array(-16684801, -14444245, 11038544, 11054958, -13801175, -3338533, -24319580, 7733547, 12796905, -6335822), |
|
| 427 | + array(-8759414, -10817836, -25418864, 10783769, -30615557, -9746811, -28253339, 3647836, 3222231, -11160462), |
|
| 428 | + ), |
|
| 429 | + array( |
|
| 430 | + array(18606113, 1693100, -25448386, -15170272, 4112353, 10045021, 23603893, -2048234, -7550776, 2484985), |
|
| 431 | + array(9255317, -3131197, -12156162, -1004256, 13098013, -9214866, 16377220, -2102812, -19802075, -3034702), |
|
| 432 | + array(-22729289, 7496160, -5742199, 11329249, 19991973, -3347502, -31718148, 9936966, -30097688, -10618797), |
|
| 433 | + ), |
|
| 434 | + array( |
|
| 435 | + array(21878590, -5001297, 4338336, 13643897, -3036865, 13160960, 19708896, 5415497, -7360503, -4109293), |
|
| 436 | + array(27736861, 10103576, 12500508, 8502413, -3413016, -9633558, 10436918, -1550276, -23659143, -8132100), |
|
| 437 | + array(19492550, -12104365, -29681976, -852630, -3208171, 12403437, 30066266, 8367329, 13243957, 8709688), |
|
| 438 | + ), |
|
| 439 | + ), |
|
| 440 | + array( |
|
| 441 | + array( |
|
| 442 | + array(12015105, 2801261, 28198131, 10151021, 24818120, -4743133, -11194191, -5645734, 5150968, 7274186), |
|
| 443 | + array(2831366, -12492146, 1478975, 6122054, 23825128, -12733586, 31097299, 6083058, 31021603, -9793610), |
|
| 444 | + array(-2529932, -2229646, 445613, 10720828, -13849527, -11505937, -23507731, 16354465, 15067285, -14147707), |
|
| 445 | + ), |
|
| 446 | + array( |
|
| 447 | + array(7840942, 14037873, -33364863, 15934016, -728213, -3642706, 21403988, 1057586, -19379462, -12403220), |
|
| 448 | + array(915865, -16469274, 15608285, -8789130, -24357026, 6060030, -17371319, 8410997, -7220461, 16527025), |
|
| 449 | + array(32922597, -556987, 20336074, -16184568, 10903705, -5384487, 16957574, 52992, 23834301, 6588044), |
|
| 450 | + ), |
|
| 451 | + array( |
|
| 452 | + array(32752030, 11232950, 3381995, -8714866, 22652988, -10744103, 17159699, 16689107, -20314580, -1305992), |
|
| 453 | + array(-4689649, 9166776, -25710296, -10847306, 11576752, 12733943, 7924251, -2752281, 1976123, -7249027), |
|
| 454 | + array(21251222, 16309901, -2983015, -6783122, 30810597, 12967303, 156041, -3371252, 12331345, -8237197), |
|
| 455 | + ), |
|
| 456 | + array( |
|
| 457 | + array(8651614, -4477032, -16085636, -4996994, 13002507, 2950805, 29054427, -5106970, 10008136, -4667901), |
|
| 458 | + array(31486080, 15114593, -14261250, 12951354, 14369431, -7387845, 16347321, -13662089, 8684155, -10532952), |
|
| 459 | + array(19443825, 11385320, 24468943, -9659068, -23919258, 2187569, -26263207, -6086921, 31316348, 14219878), |
|
| 460 | + ), |
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| 461 | + array( |
|
| 462 | + array(-28594490, 1193785, 32245219, 11392485, 31092169, 15722801, 27146014, 6992409, 29126555, 9207390), |
|
| 463 | + array(32382935, 1110093, 18477781, 11028262, -27411763, -7548111, -4980517, 10843782, -7957600, -14435730), |
|
| 464 | + array(2814918, 7836403, 27519878, -7868156, -20894015, -11553689, -21494559, 8550130, 28346258, 1994730), |
|
| 465 | + ), |
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| 466 | + array( |
|
| 467 | + array(-19578299, 8085545, -14000519, -3948622, 2785838, -16231307, -19516951, 7174894, 22628102, 8115180), |
|
| 468 | + array(-30405132, 955511, -11133838, -15078069, -32447087, -13278079, -25651578, 3317160, -9943017, 930272), |
|
| 469 | + array(-15303681, -6833769, 28856490, 1357446, 23421993, 1057177, 24091212, -1388970, -22765376, -10650715), |
|
| 470 | + ), |
|
| 471 | + array( |
|
| 472 | + array(-22751231, -5303997, -12907607, -12768866, -15811511, -7797053, -14839018, -16554220, -1867018, 8398970), |
|
| 473 | + array(-31969310, 2106403, -4736360, 1362501, 12813763, 16200670, 22981545, -6291273, 18009408, -15772772), |
|
| 474 | + array(-17220923, -9545221, -27784654, 14166835, 29815394, 7444469, 29551787, -3727419, 19288549, 1325865), |
|
| 475 | + ), |
|
| 476 | + array( |
|
| 477 | + array(15100157, -15835752, -23923978, -1005098, -26450192, 15509408, 12376730, -3479146, 33166107, -8042750), |
|
| 478 | + array(20909231, 13023121, -9209752, 16251778, -5778415, -8094914, 12412151, 10018715, 2213263, -13878373), |
|
| 479 | + array(32529814, -11074689, 30361439, -16689753, -9135940, 1513226, 22922121, 6382134, -5766928, 8371348), |
|
| 480 | + ), |
|
| 481 | + ), |
|
| 482 | + array( |
|
| 483 | + array( |
|
| 484 | + array(9923462, 11271500, 12616794, 3544722, -29998368, -1721626, 12891687, -8193132, -26442943, 10486144), |
|
| 485 | + array(-22597207, -7012665, 8587003, -8257861, 4084309, -12970062, 361726, 2610596, -23921530, -11455195), |
|
| 486 | + array(5408411, -1136691, -4969122, 10561668, 24145918, 14240566, 31319731, -4235541, 19985175, -3436086), |
|
| 487 | + ), |
|
| 488 | + array( |
|
| 489 | + array(-13994457, 16616821, 14549246, 3341099, 32155958, 13648976, -17577068, 8849297, 65030, 8370684), |
|
| 490 | + array(-8320926, -12049626, 31204563, 5839400, -20627288, -1057277, -19442942, 6922164, 12743482, -9800518), |
|
| 491 | + array(-2361371, 12678785, 28815050, 4759974, -23893047, 4884717, 23783145, 11038569, 18800704, 255233), |
|
| 492 | + ), |
|
| 493 | + array( |
|
| 494 | + array(-5269658, -1773886, 13957886, 7990715, 23132995, 728773, 13393847, 9066957, 19258688, -14753793), |
|
| 495 | + array(-2936654, -10827535, -10432089, 14516793, -3640786, 4372541, -31934921, 2209390, -1524053, 2055794), |
|
| 496 | + array(580882, 16705327, 5468415, -2683018, -30926419, -14696000, -7203346, -8994389, -30021019, 7394435), |
|
| 497 | + ), |
|
| 498 | + array( |
|
| 499 | + array(23838809, 1822728, -15738443, 15242727, 8318092, -3733104, -21672180, -3492205, -4821741, 14799921), |
|
| 500 | + array(13345610, 9759151, 3371034, -16137791, 16353039, 8577942, 31129804, 13496856, -9056018, 7402518), |
|
| 501 | + array(2286874, -4435931, -20042458, -2008336, -13696227, 5038122, 11006906, -15760352, 8205061, 1607563), |
|
| 502 | + ), |
|
| 503 | + array( |
|
| 504 | + array(14414086, -8002132, 3331830, -3208217, 22249151, -5594188, 18364661, -2906958, 30019587, -9029278), |
|
| 505 | + array(-27688051, 1585953, -10775053, 931069, -29120221, -11002319, -14410829, 12029093, 9944378, 8024), |
|
| 506 | + array(4368715, -3709630, 29874200, -15022983, -20230386, -11410704, -16114594, -999085, -8142388, 5640030), |
|
| 507 | + ), |
|
| 508 | + array( |
|
| 509 | + array(10299610, 13746483, 11661824, 16234854, 7630238, 5998374, 9809887, -16694564, 15219798, -14327783), |
|
| 510 | + array(27425505, -5719081, 3055006, 10660664, 23458024, 595578, -15398605, -1173195, -18342183, 9742717), |
|
| 511 | + array(6744077, 2427284, 26042789, 2720740, -847906, 1118974, 32324614, 7406442, 12420155, 1994844), |
|
| 512 | + ), |
|
| 513 | + array( |
|
| 514 | + array(14012521, -5024720, -18384453, -9578469, -26485342, -3936439, -13033478, -10909803, 24319929, -6446333), |
|
| 515 | + array(16412690, -4507367, 10772641, 15929391, -17068788, -4658621, 10555945, -10484049, -30102368, -4739048), |
|
| 516 | + array(22397382, -7767684, -9293161, -12792868, 17166287, -9755136, -27333065, 6199366, 21880021, -12250760), |
|
| 517 | + ), |
|
| 518 | + array( |
|
| 519 | + array(-4283307, 5368523, -31117018, 8163389, -30323063, 3209128, 16557151, 8890729, 8840445, 4957760), |
|
| 520 | + array(-15447727, 709327, -6919446, -10870178, -29777922, 6522332, -21720181, 12130072, -14796503, 5005757), |
|
| 521 | + array(-2114751, -14308128, 23019042, 15765735, -25269683, 6002752, 10183197, -13239326, -16395286, -2176112), |
|
| 522 | + ), |
|
| 523 | + ), |
|
| 524 | + array( |
|
| 525 | + array( |
|
| 526 | + array(-19025756, 1632005, 13466291, -7995100, -23640451, 16573537, -32013908, -3057104, 22208662, 2000468), |
|
| 527 | + array(3065073, -1412761, -25598674, -361432, -17683065, -5703415, -8164212, 11248527, -3691214, -7414184), |
|
| 528 | + array(10379208, -6045554, 8877319, 1473647, -29291284, -12507580, 16690915, 2553332, -3132688, 16400289), |
|
| 529 | + ), |
|
| 530 | + array( |
|
| 531 | + array(15716668, 1254266, -18472690, 7446274, -8448918, 6344164, -22097271, -7285580, 26894937, 9132066), |
|
| 532 | + array(24158887, 12938817, 11085297, -8177598, -28063478, -4457083, -30576463, 64452, -6817084, -2692882), |
|
| 533 | + array(13488534, 7794716, 22236231, 5989356, 25426474, -12578208, 2350710, -3418511, -4688006, 2364226), |
|
| 534 | + ), |
|
| 535 | + array( |
|
| 536 | + array(16335052, 9132434, 25640582, 6678888, 1725628, 8517937, -11807024, -11697457, 15445875, -7798101), |
|
| 537 | + array(29004207, -7867081, 28661402, -640412, -12794003, -7943086, 31863255, -4135540, -278050, -15759279), |
|
| 538 | + array(-6122061, -14866665, -28614905, 14569919, -10857999, -3591829, 10343412, -6976290, -29828287, -10815811), |
|
| 539 | + ), |
|
| 540 | + array( |
|
| 541 | + array(27081650, 3463984, 14099042, -4517604, 1616303, -6205604, 29542636, 15372179, 17293797, 960709), |
|
| 542 | + array(20263915, 11434237, -5765435, 11236810, 13505955, -10857102, -16111345, 6493122, -19384511, 7639714), |
|
| 543 | + array(-2830798, -14839232, 25403038, -8215196, -8317012, -16173699, 18006287, -16043750, 29994677, -15808121), |
|
| 544 | + ), |
|
| 545 | + array( |
|
| 546 | + array(9769828, 5202651, -24157398, -13631392, -28051003, -11561624, -24613141, -13860782, -31184575, 709464), |
|
| 547 | + array(12286395, 13076066, -21775189, -1176622, -25003198, 4057652, -32018128, -8890874, 16102007, 13205847), |
|
| 548 | + array(13733362, 5599946, 10557076, 3195751, -5557991, 8536970, -25540170, 8525972, 10151379, 10394400), |
|
| 549 | + ), |
|
| 550 | + array( |
|
| 551 | + array(4024660, -16137551, 22436262, 12276534, -9099015, -2686099, 19698229, 11743039, -33302334, 8934414), |
|
| 552 | + array(-15879800, -4525240, -8580747, -2934061, 14634845, -698278, -9449077, 3137094, -11536886, 11721158), |
|
| 553 | + array(17555939, -5013938, 8268606, 2331751, -22738815, 9761013, 9319229, 8835153, -9205489, -1280045), |
|
| 554 | + ), |
|
| 555 | + array( |
|
| 556 | + array(-461409, -7830014, 20614118, 16688288, -7514766, -4807119, 22300304, 505429, 6108462, -6183415), |
|
| 557 | + array(-5070281, 12367917, -30663534, 3234473, 32617080, -8422642, 29880583, -13483331, -26898490, -7867459), |
|
| 558 | + array(-31975283, 5726539, 26934134, 10237677, -3173717, -605053, 24199304, 3795095, 7592688, -14992079), |
|
| 559 | + ), |
|
| 560 | + array( |
|
| 561 | + array(21594432, -14964228, 17466408, -4077222, 32537084, 2739898, 6407723, 12018833, -28256052, 4298412), |
|
| 562 | + array(-20650503, -11961496, -27236275, 570498, 3767144, -1717540, 13891942, -1569194, 13717174, 10805743), |
|
| 563 | + array(-14676630, -15644296, 15287174, 11927123, 24177847, -8175568, -796431, 14860609, -26938930, -5863836), |
|
| 564 | + ), |
|
| 565 | + ), |
|
| 566 | + array( |
|
| 567 | + array( |
|
| 568 | + array(12962541, 5311799, -10060768, 11658280, 18855286, -7954201, 13286263, -12808704, -4381056, 9882022), |
|
| 569 | + array(18512079, 11319350, -20123124, 15090309, 18818594, 5271736, -22727904, 3666879, -23967430, -3299429), |
|
| 570 | + array(-6789020, -3146043, 16192429, 13241070, 15898607, -14206114, -10084880, -6661110, -2403099, 5276065), |
|
| 571 | + ), |
|
| 572 | + array( |
|
| 573 | + array(30169808, -5317648, 26306206, -11750859, 27814964, 7069267, 7152851, 3684982, 1449224, 13082861), |
|
| 574 | + array(10342826, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736, -21016438, -8202000), |
|
| 575 | + array(-33150110, 3261608, 22745853, 7948688, 19370557, -15177665, -26171976, 6482814, -10300080, -11060101), |
|
| 576 | + ), |
|
| 577 | + array( |
|
| 578 | + array(32869458, -5408545, 25609743, 15678670, -10687769, -15471071, 26112421, 2521008, -22664288, 6904815), |
|
| 579 | + array(29506923, 4457497, 3377935, -9796444, -30510046, 12935080, 1561737, 3841096, -29003639, -6657642), |
|
| 580 | + array(10340844, -6630377, -18656632, -2278430, 12621151, -13339055, 30878497, -11824370, -25584551, 5181966), |
|
| 581 | + ), |
|
| 582 | + array( |
|
| 583 | + array(25940115, -12658025, 17324188, -10307374, -8671468, 15029094, 24396252, -16450922, -2322852, -12388574), |
|
| 584 | + array(-21765684, 9916823, -1300409, 4079498, -1028346, 11909559, 1782390, 12641087, 20603771, -6561742), |
|
| 585 | + array(-18882287, -11673380, 24849422, 11501709, 13161720, -4768874, 1925523, 11914390, 4662781, 7820689), |
|
| 586 | + ), |
|
| 587 | + array( |
|
| 588 | + array(12241050, -425982, 8132691, 9393934, 32846760, -1599620, 29749456, 12172924, 16136752, 15264020), |
|
| 589 | + array(-10349955, -14680563, -8211979, 2330220, -17662549, -14545780, 10658213, 6671822, 19012087, 3772772), |
|
| 590 | + array(3753511, -3421066, 10617074, 2028709, 14841030, -6721664, 28718732, -15762884, 20527771, 12988982), |
|
| 591 | + ), |
|
| 592 | + array( |
|
| 593 | + array(-14822485, -5797269, -3707987, 12689773, -898983, -10914866, -24183046, -10564943, 3299665, -12424953), |
|
| 594 | + array(-16777703, -15253301, -9642417, 4978983, 3308785, 8755439, 6943197, 6461331, -25583147, 8991218), |
|
| 595 | + array(-17226263, 1816362, -1673288, -6086439, 31783888, -8175991, -32948145, 7417950, -30242287, 1507265), |
|
| 596 | + ), |
|
| 597 | + array( |
|
| 598 | + array(29692663, 6829891, -10498800, 4334896, 20945975, -11906496, -28887608, 8209391, 14606362, -10647073), |
|
| 599 | + array(-3481570, 8707081, 32188102, 5672294, 22096700, 1711240, -33020695, 9761487, 4170404, -2085325), |
|
| 600 | + array(-11587470, 14855945, -4127778, -1531857, -26649089, 15084046, 22186522, 16002000, -14276837, -8400798), |
|
| 601 | + ), |
|
| 602 | + array( |
|
| 603 | + array(-4811456, 13761029, -31703877, -2483919, -3312471, 7869047, -7113572, -9620092, 13240845, 10965870), |
|
| 604 | + array(-7742563, -8256762, -14768334, -13656260, -23232383, 12387166, 4498947, 14147411, 29514390, 4302863), |
|
| 605 | + array(-13413405, -12407859, 20757302, -13801832, 14785143, 8976368, -5061276, -2144373, 17846988, -13971927), |
|
| 606 | + ), |
|
| 607 | + ), |
|
| 608 | + array( |
|
| 609 | + array( |
|
| 610 | + array(-2244452, -754728, -4597030, -1066309, -6247172, 1455299, -21647728, -9214789, -5222701, 12650267), |
|
| 611 | + array(-9906797, -16070310, 21134160, 12198166, -27064575, 708126, 387813, 13770293, -19134326, 10958663), |
|
| 612 | + array(22470984, 12369526, 23446014, -5441109, -21520802, -9698723, -11772496, -11574455, -25083830, 4271862), |
|
| 613 | + ), |
|
| 614 | + array( |
|
| 615 | + array(-25169565, -10053642, -19909332, 15361595, -5984358, 2159192, 75375, -4278529, -32526221, 8469673), |
|
| 616 | + array(15854970, 4148314, -8893890, 7259002, 11666551, 13824734, -30531198, 2697372, 24154791, -9460943), |
|
| 617 | + array(15446137, -15806644, 29759747, 14019369, 30811221, -9610191, -31582008, 12840104, 24913809, 9815020), |
|
| 618 | + ), |
|
| 619 | + array( |
|
| 620 | + array(-4709286, -5614269, -31841498, -12288893, -14443537, 10799414, -9103676, 13438769, 18735128, 9466238), |
|
| 621 | + array(11933045, 9281483, 5081055, -5183824, -2628162, -4905629, -7727821, -10896103, -22728655, 16199064), |
|
| 622 | + array(14576810, 379472, -26786533, -8317236, -29426508, -10812974, -102766, 1876699, 30801119, 2164795), |
|
| 623 | + ), |
|
| 624 | + array( |
|
| 625 | + array(15995086, 3199873, 13672555, 13712240, -19378835, -4647646, -13081610, -15496269, -13492807, 1268052), |
|
| 626 | + array(-10290614, -3659039, -3286592, 10948818, 23037027, 3794475, -3470338, -12600221, -17055369, 3565904), |
|
| 627 | + array(29210088, -9419337, -5919792, -4952785, 10834811, -13327726, -16512102, -10820713, -27162222, -14030531), |
|
| 628 | + ), |
|
| 629 | + array( |
|
| 630 | + array(-13161890, 15508588, 16663704, -8156150, -28349942, 9019123, -29183421, -3769423, 2244111, -14001979), |
|
| 631 | + array(-5152875, -3800936, -9306475, -6071583, 16243069, 14684434, -25673088, -16180800, 13491506, 4641841), |
|
| 632 | + array(10813417, 643330, -19188515, -728916, 30292062, -16600078, 27548447, -7721242, 14476989, -12767431), |
|
| 633 | + ), |
|
| 634 | + array( |
|
| 635 | + array(10292079, 9984945, 6481436, 8279905, -7251514, 7032743, 27282937, -1644259, -27912810, 12651324), |
|
| 636 | + array(-31185513, -813383, 22271204, 11835308, 10201545, 15351028, 17099662, 3988035, 21721536, -3148940), |
|
| 637 | + array(10202177, -6545839, -31373232, -9574638, -32150642, -8119683, -12906320, 3852694, 13216206, 14842320), |
|
| 638 | + ), |
|
| 639 | + array( |
|
| 640 | + array(-15815640, -10601066, -6538952, -7258995, -6984659, -6581778, -31500847, 13765824, -27434397, 9900184), |
|
| 641 | + array(14465505, -13833331, -32133984, -14738873, -27443187, 12990492, 33046193, 15796406, -7051866, -8040114), |
|
| 642 | + array(30924417, -8279620, 6359016, -12816335, 16508377, 9071735, -25488601, 15413635, 9524356, -7018878), |
|
| 643 | + ), |
|
| 644 | + array( |
|
| 645 | + array(12274201, -13175547, 32627641, -1785326, 6736625, 13267305, 5237659, -5109483, 15663516, 4035784), |
|
| 646 | + array(-2951309, 8903985, 17349946, 601635, -16432815, -4612556, -13732739, -15889334, -22258478, 4659091), |
|
| 647 | + array(-16916263, -4952973, -30393711, -15158821, 20774812, 15897498, 5736189, 15026997, -2178256, -13455585), |
|
| 648 | + ), |
|
| 649 | + ), |
|
| 650 | + array( |
|
| 651 | + array( |
|
| 652 | + array(-8858980, -2219056, 28571666, -10155518, -474467, -10105698, -3801496, 278095, 23440562, -290208), |
|
| 653 | + array(10226241, -5928702, 15139956, 120818, -14867693, 5218603, 32937275, 11551483, -16571960, -7442864), |
|
| 654 | + array(17932739, -12437276, -24039557, 10749060, 11316803, 7535897, 22503767, 5561594, -3646624, 3898661), |
|
| 655 | + ), |
|
| 656 | + array( |
|
| 657 | + array(7749907, -969567, -16339731, -16464, -25018111, 15122143, -1573531, 7152530, 21831162, 1245233), |
|
| 658 | + array(26958459, -14658026, 4314586, 8346991, -5677764, 11960072, -32589295, -620035, -30402091, -16716212), |
|
| 659 | + array(-12165896, 9166947, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357, -22338025, 13987525), |
|
| 660 | + ), |
|
| 661 | + array( |
|
| 662 | + array(-24349909, 7778775, 21116000, 15572597, -4833266, -5357778, -4300898, -5124639, -7469781, -2858068), |
|
| 663 | + array(9681908, -6737123, -31951644, 13591838, -6883821, 386950, 31622781, 6439245, -14581012, 4091397), |
|
| 664 | + array(-8426427, 1470727, -28109679, -1596990, 3978627, -5123623, -19622683, 12092163, 29077877, -14741988), |
|
| 665 | + ), |
|
| 666 | + array( |
|
| 667 | + array(5269168, -6859726, -13230211, -8020715, 25932563, 1763552, -5606110, -5505881, -20017847, 2357889), |
|
| 668 | + array(32264008, -15407652, -5387735, -1160093, -2091322, -3946900, 23104804, -12869908, 5727338, 189038), |
|
| 669 | + array(14609123, -8954470, -6000566, -16622781, -14577387, -7743898, -26745169, 10942115, -25888931, -14884697), |
|
| 670 | + ), |
|
| 671 | + array( |
|
| 672 | + array(20513500, 5557931, -15604613, 7829531, 26413943, -2019404, -21378968, 7471781, 13913677, -5137875), |
|
| 673 | + array(-25574376, 11967826, 29233242, 12948236, -6754465, 4713227, -8940970, 14059180, 12878652, 8511905), |
|
| 674 | + array(-25656801, 3393631, -2955415, -7075526, -2250709, 9366908, -30223418, 6812974, 5568676, -3127656), |
|
| 675 | + ), |
|
| 676 | + array( |
|
| 677 | + array(11630004, 12144454, 2116339, 13606037, 27378885, 15676917, -17408753, -13504373, -14395196, 8070818), |
|
| 678 | + array(27117696, -10007378, -31282771, -5570088, 1127282, 12772488, -29845906, 10483306, -11552749, -1028714), |
|
| 679 | + array(10637467, -5688064, 5674781, 1072708, -26343588, -6982302, -1683975, 9177853, -27493162, 15431203), |
|
| 680 | + ), |
|
| 681 | + array( |
|
| 682 | + array(20525145, 10892566, -12742472, 12779443, -29493034, 16150075, -28240519, 14943142, -15056790, -7935931), |
|
| 683 | + array(-30024462, 5626926, -551567, -9981087, 753598, 11981191, 25244767, -3239766, -3356550, 9594024), |
|
| 684 | + array(-23752644, 2636870, -5163910, -10103818, 585134, 7877383, 11345683, -6492290, 13352335, -10977084), |
|
| 685 | + ), |
|
| 686 | + array( |
|
| 687 | + array(-1931799, -5407458, 3304649, -12884869, 17015806, -4877091, -29783850, -7752482, -13215537, -319204), |
|
| 688 | + array(20239939, 6607058, 6203985, 3483793, -18386976, -779229, -20723742, 15077870, -22750759, 14523817), |
|
| 689 | + array(27406042, -6041657, 27423596, -4497394, 4996214, 10002360, -28842031, -4545494, -30172742, -4805667), |
|
| 690 | + ), |
|
| 691 | + ), |
|
| 692 | + array( |
|
| 693 | + array( |
|
| 694 | + array(11374242, 12660715, 17861383, -12540833, 10935568, 1099227, -13886076, -9091740, -27727044, 11358504), |
|
| 695 | + array(-12730809, 10311867, 1510375, 10778093, -2119455, -9145702, 32676003, 11149336, -26123651, 4985768), |
|
| 696 | + array(-19096303, 341147, -6197485, -239033, 15756973, -8796662, -983043, 13794114, -19414307, -15621255), |
|
| 697 | + ), |
|
| 698 | + array( |
|
| 699 | + array(6490081, 11940286, 25495923, -7726360, 8668373, -8751316, 3367603, 6970005, -1691065, -9004790), |
|
| 700 | + array(1656497, 13457317, 15370807, 6364910, 13605745, 8362338, -19174622, -5475723, -16796596, -5031438), |
|
| 701 | + array(-22273315, -13524424, -64685, -4334223, -18605636, -10921968, -20571065, -7007978, -99853, -10237333), |
|
| 702 | + ), |
|
| 703 | + array( |
|
| 704 | + array(17747465, 10039260, 19368299, -4050591, -20630635, -16041286, 31992683, -15857976, -29260363, -5511971), |
|
| 705 | + array(31932027, -4986141, -19612382, 16366580, 22023614, 88450, 11371999, -3744247, 4882242, -10626905), |
|
| 706 | + array(29796507, 37186, 19818052, 10115756, -11829032, 3352736, 18551198, 3272828, -5190932, -4162409), |
|
| 707 | + ), |
|
| 708 | + array( |
|
| 709 | + array(12501286, 4044383, -8612957, -13392385, -32430052, 5136599, -19230378, -3529697, 330070, -3659409), |
|
| 710 | + array(6384877, 2899513, 17807477, 7663917, -2358888, 12363165, 25366522, -8573892, -271295, 12071499), |
|
| 711 | + array(-8365515, -4042521, 25133448, -4517355, -6211027, 2265927, -32769618, 1936675, -5159697, 3829363), |
|
| 712 | + ), |
|
| 713 | + array( |
|
| 714 | + array(28425966, -5835433, -577090, -4697198, -14217555, 6870930, 7921550, -6567787, 26333140, 14267664), |
|
| 715 | + array(-11067219, 11871231, 27385719, -10559544, -4585914, -11189312, 10004786, -8709488, -21761224, 8930324), |
|
| 716 | + array(-21197785, -16396035, 25654216, -1725397, 12282012, 11008919, 1541940, 4757911, -26491501, -16408940), |
|
| 717 | + ), |
|
| 718 | + array( |
|
| 719 | + array(13537262, -7759490, -20604840, 10961927, -5922820, -13218065, -13156584, 6217254, -15943699, 13814990), |
|
| 720 | + array(-17422573, 15157790, 18705543, 29619, 24409717, -260476, 27361681, 9257833, -1956526, -1776914), |
|
| 721 | + array(-25045300, -10191966, 15366585, 15166509, -13105086, 8423556, -29171540, 12361135, -18685978, 4578290), |
|
| 722 | + ), |
|
| 723 | + array( |
|
| 724 | + array(24579768, 3711570, 1342322, -11180126, -27005135, 14124956, -22544529, 14074919, 21964432, 8235257), |
|
| 725 | + array(-6528613, -2411497, 9442966, -5925588, 12025640, -1487420, -2981514, -1669206, 13006806, 2355433), |
|
| 726 | + array(-16304899, -13605259, -6632427, -5142349, 16974359, -10911083, 27202044, 1719366, 1141648, -12796236), |
|
| 727 | + ), |
|
| 728 | + array( |
|
| 729 | + array(-12863944, -13219986, -8318266, -11018091, -6810145, -4843894, 13475066, -3133972, 32674895, 13715045), |
|
| 730 | + array(11423335, -5468059, 32344216, 8962751, 24989809, 9241752, -13265253, 16086212, -28740881, -15642093), |
|
| 731 | + array(-1409668, 12530728, -6368726, 10847387, 19531186, -14132160, -11709148, 7791794, -27245943, 4383347), |
|
| 732 | + ), |
|
| 733 | + ), |
|
| 734 | + array( |
|
| 735 | + array( |
|
| 736 | + array(-28970898, 5271447, -1266009, -9736989, -12455236, 16732599, -4862407, -4906449, 27193557, 6245191), |
|
| 737 | + array(-15193956, 5362278, -1783893, 2695834, 4960227, 12840725, 23061898, 3260492, 22510453, 8577507), |
|
| 738 | + array(-12632451, 11257346, -32692994, 13548177, -721004, 10879011, 31168030, 13952092, -29571492, -3635906), |
|
| 739 | + ), |
|
| 740 | + array( |
|
| 741 | + array(3877321, -9572739, 32416692, 5405324, -11004407, -13656635, 3759769, 11935320, 5611860, 8164018), |
|
| 742 | + array(-16275802, 14667797, 15906460, 12155291, -22111149, -9039718, 32003002, -8832289, 5773085, -8422109), |
|
| 743 | + array(-23788118, -8254300, 1950875, 8937633, 18686727, 16459170, -905725, 12376320, 31632953, 190926), |
|
| 744 | + ), |
|
| 745 | + array( |
|
| 746 | + array(-24593607, -16138885, -8423991, 13378746, 14162407, 6901328, -8288749, 4508564, -25341555, -3627528), |
|
| 747 | + array(8884438, -5884009, 6023974, 10104341, -6881569, -4941533, 18722941, -14786005, -1672488, 827625), |
|
| 748 | + array(-32720583, -16289296, -32503547, 7101210, 13354605, 2659080, -1800575, -14108036, -24878478, 1541286), |
|
| 749 | + ), |
|
| 750 | + array( |
|
| 751 | + array(2901347, -1117687, 3880376, -10059388, -17620940, -3612781, -21802117, -3567481, 20456845, -1885033), |
|
| 752 | + array(27019610, 12299467, -13658288, -1603234, -12861660, -4861471, -19540150, -5016058, 29439641, 15138866), |
|
| 753 | + array(21536104, -6626420, -32447818, -10690208, -22408077, 5175814, -5420040, -16361163, 7779328, 109896), |
|
| 754 | + ), |
|
| 755 | + array( |
|
| 756 | + array(30279744, 14648750, -8044871, 6425558, 13639621, -743509, 28698390, 12180118, 23177719, -554075), |
|
| 757 | + array(26572847, 3405927, -31701700, 12890905, -19265668, 5335866, -6493768, 2378492, 4439158, -13279347), |
|
| 758 | + array(-22716706, 3489070, -9225266, -332753, 18875722, -1140095, 14819434, -12731527, -17717757, -5461437), |
|
| 759 | + ), |
|
| 760 | + array( |
|
| 761 | + array(-5056483, 16566551, 15953661, 3767752, -10436499, 15627060, -820954, 2177225, 8550082, -15114165), |
|
| 762 | + array(-18473302, 16596775, -381660, 15663611, 22860960, 15585581, -27844109, -3582739, -23260460, -8428588), |
|
| 763 | + array(-32480551, 15707275, -8205912, -5652081, 29464558, 2713815, -22725137, 15860482, -21902570, 1494193), |
|
| 764 | + ), |
|
| 765 | + array( |
|
| 766 | + array(-19562091, -14087393, -25583872, -9299552, 13127842, 759709, 21923482, 16529112, 8742704, 12967017), |
|
| 767 | + array(-28464899, 1553205, 32536856, -10473729, -24691605, -406174, -8914625, -2933896, -29903758, 15553883), |
|
| 768 | + array(21877909, 3230008, 9881174, 10539357, -4797115, 2841332, 11543572, 14513274, 19375923, -12647961), |
|
| 769 | + ), |
|
| 770 | + array( |
|
| 771 | + array(8832269, -14495485, 13253511, 5137575, 5037871, 4078777, 24880818, -6222716, 2862653, 9455043), |
|
| 772 | + array(29306751, 5123106, 20245049, -14149889, 9592566, 8447059, -2077124, -2990080, 15511449, 4789663), |
|
| 773 | + array(-20679756, 7004547, 8824831, -9434977, -4045704, -3750736, -5754762, 108893, 23513200, 16652362), |
|
| 774 | + ), |
|
| 775 | + ), |
|
| 776 | + array( |
|
| 777 | + array( |
|
| 778 | + array(-33256173, 4144782, -4476029, -6579123, 10770039, -7155542, -6650416, -12936300, -18319198, 10212860), |
|
| 779 | + array(2756081, 8598110, 7383731, -6859892, 22312759, -1105012, 21179801, 2600940, -9988298, -12506466), |
|
| 780 | + array(-24645692, 13317462, -30449259, -15653928, 21365574, -10869657, 11344424, 864440, -2499677, -16710063), |
|
| 781 | + ), |
|
| 782 | + array( |
|
| 783 | + array(-26432803, 6148329, -17184412, -14474154, 18782929, -275997, -22561534, 211300, 2719757, 4940997), |
|
| 784 | + array(-1323882, 3911313, -6948744, 14759765, -30027150, 7851207, 21690126, 8518463, 26699843, 5276295), |
|
| 785 | + array(-13149873, -6429067, 9396249, 365013, 24703301, -10488939, 1321586, 149635, -15452774, 7159369), |
|
| 786 | + ), |
|
| 787 | + array( |
|
| 788 | + array(9987780, -3404759, 17507962, 9505530, 9731535, -2165514, 22356009, 8312176, 22477218, -8403385), |
|
| 789 | + array(18155857, -16504990, 19744716, 9006923, 15154154, -10538976, 24256460, -4864995, -22548173, 9334109), |
|
| 790 | + array(2986088, -4911893, 10776628, -3473844, 10620590, -7083203, -21413845, 14253545, -22587149, 536906), |
|
| 791 | + ), |
|
| 792 | + array( |
|
| 793 | + array(4377756, 8115836, 24567078, 15495314, 11625074, 13064599, 7390551, 10589625, 10838060, -15420424), |
|
| 794 | + array(-19342404, 867880, 9277171, -3218459, -14431572, -1986443, 19295826, -15796950, 6378260, 699185), |
|
| 795 | + array(7895026, 4057113, -7081772, -13077756, -17886831, -323126, -716039, 15693155, -5045064, -13373962), |
|
| 796 | + ), |
|
| 797 | + array( |
|
| 798 | + array(-7737563, -5869402, -14566319, -7406919, 11385654, 13201616, 31730678, -10962840, -3918636, -9669325), |
|
| 799 | + array(10188286, -15770834, -7336361, 13427543, 22223443, 14896287, 30743455, 7116568, -21786507, 5427593), |
|
| 800 | + array(696102, 13206899, 27047647, -10632082, 15285305, -9853179, 10798490, -4578720, 19236243, 12477404), |
|
| 801 | + ), |
|
| 802 | + array( |
|
| 803 | + array(-11229439, 11243796, -17054270, -8040865, -788228, -8167967, -3897669, 11180504, -23169516, 7733644), |
|
| 804 | + array(17800790, -14036179, -27000429, -11766671, 23887827, 3149671, 23466177, -10538171, 10322027, 15313801), |
|
| 805 | + array(26246234, 11968874, 32263343, -5468728, 6830755, -13323031, -15794704, -101982, -24449242, 10890804), |
|
| 806 | + ), |
|
| 807 | + array( |
|
| 808 | + array(-31365647, 10271363, -12660625, -6267268, 16690207, -13062544, -14982212, 16484931, 25180797, -5334884), |
|
| 809 | + array(-586574, 10376444, -32586414, -11286356, 19801893, 10997610, 2276632, 9482883, 316878, 13820577), |
|
| 810 | + array(-9882808, -4510367, -2115506, 16457136, -11100081, 11674996, 30756178, -7515054, 30696930, -3712849), |
|
| 811 | + ), |
|
| 812 | + array( |
|
| 813 | + array(32988917, -9603412, 12499366, 7910787, -10617257, -11931514, -7342816, -9985397, -32349517, 7392473), |
|
| 814 | + array(-8855661, 15927861, 9866406, -3649411, -2396914, -16655781, -30409476, -9134995, 25112947, -2926644), |
|
| 815 | + array(-2504044, -436966, 25621774, -5678772, 15085042, -5479877, -24884878, -13526194, 5537438, -13914319), |
|
| 816 | + ), |
|
| 817 | + ), |
|
| 818 | + array( |
|
| 819 | + array( |
|
| 820 | + array(-11225584, 2320285, -9584280, 10149187, -33444663, 5808648, -14876251, -1729667, 31234590, 6090599), |
|
| 821 | + array(-9633316, 116426, 26083934, 2897444, -6364437, -2688086, 609721, 15878753, -6970405, -9034768), |
|
| 822 | + array(-27757857, 247744, -15194774, -9002551, 23288161, -10011936, -23869595, 6503646, 20650474, 1804084), |
|
| 823 | + ), |
|
| 824 | + array( |
|
| 825 | + array(-27589786, 15456424, 8972517, 8469608, 15640622, 4439847, 3121995, -10329713, 27842616, -202328), |
|
| 826 | + array(-15306973, 2839644, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932, -11375082, 12714369), |
|
| 827 | + array(20807691, -7270825, 29286141, 11421711, -27876523, -13868230, -21227475, 1035546, -19733229, 12796920), |
|
| 828 | + ), |
|
| 829 | + array( |
|
| 830 | + array(12076899, -14301286, -8785001, -11848922, -25012791, 16400684, -17591495, -12899438, 3480665, -15182815), |
|
| 831 | + array(-32361549, 5457597, 28548107, 7833186, 7303070, -11953545, -24363064, -15921875, -33374054, 2771025), |
|
| 832 | + array(-21389266, 421932, 26597266, 6860826, 22486084, -6737172, -17137485, -4210226, -24552282, 15673397), |
|
| 833 | + ), |
|
| 834 | + array( |
|
| 835 | + array(-20184622, 2338216, 19788685, -9620956, -4001265, -8740893, -20271184, 4733254, 3727144, -12934448), |
|
| 836 | + array(6120119, 814863, -11794402, -622716, 6812205, -15747771, 2019594, 7975683, 31123697, -10958981), |
|
| 837 | + array(30069250, -11435332, 30434654, 2958439, 18399564, -976289, 12296869, 9204260, -16432438, 9648165), |
|
| 838 | + ), |
|
| 839 | + array( |
|
| 840 | + array(32705432, -1550977, 30705658, 7451065, -11805606, 9631813, 3305266, 5248604, -26008332, -11377501), |
|
| 841 | + array(17219865, 2375039, -31570947, -5575615, -19459679, 9219903, 294711, 15298639, 2662509, -16297073), |
|
| 842 | + array(-1172927, -7558695, -4366770, -4287744, -21346413, -8434326, 32087529, -1222777, 32247248, -14389861), |
|
| 843 | + ), |
|
| 844 | + array( |
|
| 845 | + array(14312628, 1221556, 17395390, -8700143, -4945741, -8684635, -28197744, -9637817, -16027623, -13378845), |
|
| 846 | + array(-1428825, -9678990, -9235681, 6549687, -7383069, -468664, 23046502, 9803137, 17597934, 2346211), |
|
| 847 | + array(18510800, 15337574, 26171504, 981392, -22241552, 7827556, -23491134, -11323352, 3059833, -11782870), |
|
| 848 | + ), |
|
| 849 | + array( |
|
| 850 | + array(10141598, 6082907, 17829293, -1947643, 9830092, 13613136, -25556636, -5544586, -33502212, 3592096), |
|
| 851 | + array(33114168, -15889352, -26525686, -13343397, 33076705, 8716171, 1151462, 1521897, -982665, -6837803), |
|
| 852 | + array(-32939165, -4255815, 23947181, -324178, -33072974, -12305637, -16637686, 3891704, 26353178, 693168), |
|
| 853 | + ), |
|
| 854 | + array( |
|
| 855 | + array(30374239, 1595580, -16884039, 13186931, 4600344, 406904, 9585294, -400668, 31375464, 14369965), |
|
| 856 | + array(-14370654, -7772529, 1510301, 6434173, -18784789, -6262728, 32732230, -13108839, 17901441, 16011505), |
|
| 857 | + array(18171223, -11934626, -12500402, 15197122, -11038147, -15230035, -19172240, -16046376, 8764035, 12309598), |
|
| 858 | + ), |
|
| 859 | + ), |
|
| 860 | + array( |
|
| 861 | + array( |
|
| 862 | + array(5975908, -5243188, -19459362, -9681747, -11541277, 14015782, -23665757, 1228319, 17544096, -10593782), |
|
| 863 | + array(5811932, -1715293, 3442887, -2269310, -18367348, -8359541, -18044043, -15410127, -5565381, 12348900), |
|
| 864 | + array(-31399660, 11407555, 25755363, 6891399, -3256938, 14872274, -24849353, 8141295, -10632534, -585479), |
|
| 865 | + ), |
|
| 866 | + array( |
|
| 867 | + array(-12675304, 694026, -5076145, 13300344, 14015258, -14451394, -9698672, -11329050, 30944593, 1130208), |
|
| 868 | + array(8247766, -6710942, -26562381, -7709309, -14401939, -14648910, 4652152, 2488540, 23550156, -271232), |
|
| 869 | + array(17294316, -3788438, 7026748, 15626851, 22990044, 113481, 2267737, -5908146, -408818, -137719), |
|
| 870 | + ), |
|
| 871 | + array( |
|
| 872 | + array(16091085, -16253926, 18599252, 7340678, 2137637, -1221657, -3364161, 14550936, 3260525, -7166271), |
|
| 873 | + array(-4910104, -13332887, 18550887, 10864893, -16459325, -7291596, -23028869, -13204905, -12748722, 2701326), |
|
| 874 | + array(-8574695, 16099415, 4629974, -16340524, -20786213, -6005432, -10018363, 9276971, 11329923, 1862132), |
|
| 875 | + ), |
|
| 876 | + array( |
|
| 877 | + array(14763076, -15903608, -30918270, 3689867, 3511892, 10313526, -21951088, 12219231, -9037963, -940300), |
|
| 878 | + array(8894987, -3446094, 6150753, 3013931, 301220, 15693451, -31981216, -2909717, -15438168, 11595570), |
|
| 879 | + array(15214962, 3537601, -26238722, -14058872, 4418657, -15230761, 13947276, 10730794, -13489462, -4363670), |
|
| 880 | + ), |
|
| 881 | + array( |
|
| 882 | + array(-2538306, 7682793, 32759013, 263109, -29984731, -7955452, -22332124, -10188635, 977108, 699994), |
|
| 883 | + array(-12466472, 4195084, -9211532, 550904, -15565337, 12917920, 19118110, -439841, -30534533, -14337913), |
|
| 884 | + array(31788461, -14507657, 4799989, 7372237, 8808585, -14747943, 9408237, -10051775, 12493932, -5409317), |
|
| 885 | + ), |
|
| 886 | + array( |
|
| 887 | + array(-25680606, 5260744, -19235809, -6284470, -3695942, 16566087, 27218280, 2607121, 29375955, 6024730), |
|
| 888 | + array(842132, -2794693, -4763381, -8722815, 26332018, -12405641, 11831880, 6985184, -9940361, 2854096), |
|
| 889 | + array(-4847262, -7969331, 2516242, -5847713, 9695691, -7221186, 16512645, 960770, 12121869, 16648078), |
|
| 890 | + ), |
|
| 891 | + array( |
|
| 892 | + array(-15218652, 14667096, -13336229, 2013717, 30598287, -464137, -31504922, -7882064, 20237806, 2838411), |
|
| 893 | + array(-19288047, 4453152, 15298546, -16178388, 22115043, -15972604, 12544294, -13470457, 1068881, -12499905), |
|
| 894 | + array(-9558883, -16518835, 33238498, 13506958, 30505848, -1114596, -8486907, -2630053, 12521378, 4845654), |
|
| 895 | + ), |
|
| 896 | + array( |
|
| 897 | + array(-28198521, 10744108, -2958380, 10199664, 7759311, -13088600, 3409348, -873400, -6482306, -12885870), |
|
| 898 | + array(-23561822, 6230156, -20382013, 10655314, -24040585, -11621172, 10477734, -1240216, -3113227, 13974498), |
|
| 899 | + array(12966261, 15550616, -32038948, -1615346, 21025980, -629444, 5642325, 7188737, 18895762, 12629579), |
|
| 900 | + ), |
|
| 901 | + ), |
|
| 902 | + array( |
|
| 903 | + array( |
|
| 904 | + array(14741879, -14946887, 22177208, -11721237, 1279741, 8058600, 11758140, 789443, 32195181, 3895677), |
|
| 905 | + array(10758205, 15755439, -4509950, 9243698, -4879422, 6879879, -2204575, -3566119, -8982069, 4429647), |
|
| 906 | + array(-2453894, 15725973, -20436342, -10410672, -5803908, -11040220, -7135870, -11642895, 18047436, -15281743), |
|
| 907 | + ), |
|
| 908 | + array( |
|
| 909 | + array(-25173001, -11307165, 29759956, 11776784, -22262383, -15820455, 10993114, -12850837, -17620701, -9408468), |
|
| 910 | + array(21987233, 700364, -24505048, 14972008, -7774265, -5718395, 32155026, 2581431, -29958985, 8773375), |
|
| 911 | + array(-25568350, 454463, -13211935, 16126715, 25240068, 8594567, 20656846, 12017935, -7874389, -13920155), |
|
| 912 | + ), |
|
| 913 | + array( |
|
| 914 | + array(6028182, 6263078, -31011806, -11301710, -818919, 2461772, -31841174, -5468042, -1721788, -2776725), |
|
| 915 | + array(-12278994, 16624277, 987579, -5922598, 32908203, 1248608, 7719845, -4166698, 28408820, 6816612), |
|
| 916 | + array(-10358094, -8237829, 19549651, -12169222, 22082623, 16147817, 20613181, 13982702, -10339570, 5067943), |
|
| 917 | + ), |
|
| 918 | + array( |
|
| 919 | + array(-30505967, -3821767, 12074681, 13582412, -19877972, 2443951, -19719286, 12746132, 5331210, -10105944), |
|
| 920 | + array(30528811, 3601899, -1957090, 4619785, -27361822, -15436388, 24180793, -12570394, 27679908, -1648928), |
|
| 921 | + array(9402404, -13957065, 32834043, 10838634, -26580150, -13237195, 26653274, -8685565, 22611444, -12715406), |
|
| 922 | + ), |
|
| 923 | + array( |
|
| 924 | + array(22190590, 1118029, 22736441, 15130463, -30460692, -5991321, 19189625, -4648942, 4854859, 6622139), |
|
| 925 | + array(-8310738, -2953450, -8262579, -3388049, -10401731, -271929, 13424426, -3567227, 26404409, 13001963), |
|
| 926 | + array(-31241838, -15415700, -2994250, 8939346, 11562230, -12840670, -26064365, -11621720, -15405155, 11020693), |
|
| 927 | + ), |
|
| 928 | + array( |
|
| 929 | + array(1866042, -7949489, -7898649, -10301010, 12483315, 13477547, 3175636, -12424163, 28761762, 1406734), |
|
| 930 | + array(-448555, -1777666, 13018551, 3194501, -9580420, -11161737, 24760585, -4347088, 25577411, -13378680), |
|
| 931 | + array(-24290378, 4759345, -690653, -1852816, 2066747, 10693769, -29595790, 9884936, -9368926, 4745410), |
|
| 932 | + ), |
|
| 933 | + array( |
|
| 934 | + array(-9141284, 6049714, -19531061, -4341411, -31260798, 9944276, -15462008, -11311852, 10931924, -11931931), |
|
| 935 | + array(-16561513, 14112680, -8012645, 4817318, -8040464, -11414606, -22853429, 10856641, -20470770, 13434654), |
|
| 936 | + array(22759489, -10073434, -16766264, -1871422, 13637442, -10168091, 1765144, -12654326, 28445307, -5364710), |
|
| 937 | + ), |
|
| 938 | + array( |
|
| 939 | + array(29875063, 12493613, 2795536, -3786330, 1710620, 15181182, -10195717, -8788675, 9074234, 1167180), |
|
| 940 | + array(-26205683, 11014233, -9842651, -2635485, -26908120, 7532294, -18716888, -9535498, 3843903, 9367684), |
|
| 941 | + array(-10969595, -6403711, 9591134, 9582310, 11349256, 108879, 16235123, 8601684, -139197, 4242895), |
|
| 942 | + ), |
|
| 943 | + ), |
|
| 944 | + array( |
|
| 945 | + array( |
|
| 946 | + array(22092954, -13191123, -2042793, -11968512, 32186753, -11517388, -6574341, 2470660, -27417366, 16625501), |
|
| 947 | + array(-11057722, 3042016, 13770083, -9257922, 584236, -544855, -7770857, 2602725, -27351616, 14247413), |
|
| 948 | + array(6314175, -10264892, -32772502, 15957557, -10157730, 168750, -8618807, 14290061, 27108877, -1180880), |
|
| 949 | + ), |
|
| 950 | + array( |
|
| 951 | + array(-8586597, -7170966, 13241782, 10960156, -32991015, -13794596, 33547976, -11058889, -27148451, 981874), |
|
| 952 | + array(22833440, 9293594, -32649448, -13618667, -9136966, 14756819, -22928859, -13970780, -10479804, -16197962), |
|
| 953 | + array(-7768587, 3326786, -28111797, 10783824, 19178761, 14905060, 22680049, 13906969, -15933690, 3797899), |
|
| 954 | + ), |
|
| 955 | + array( |
|
| 956 | + array(21721356, -4212746, -12206123, 9310182, -3882239, -13653110, 23740224, -2709232, 20491983, -8042152), |
|
| 957 | + array(9209270, -15135055, -13256557, -6167798, -731016, 15289673, 25947805, 15286587, 30997318, -6703063), |
|
| 958 | + array(7392032, 16618386, 23946583, -8039892, -13265164, -1533858, -14197445, -2321576, 17649998, -250080), |
|
| 959 | + ), |
|
| 960 | + array( |
|
| 961 | + array(-9301088, -14193827, 30609526, -3049543, -25175069, -1283752, -15241566, -9525724, -2233253, 7662146), |
|
| 962 | + array(-17558673, 1763594, -33114336, 15908610, -30040870, -12174295, 7335080, -8472199, -3174674, 3440183), |
|
| 963 | + array(-19889700, -5977008, -24111293, -9688870, 10799743, -16571957, 40450, -4431835, 4862400, 1133), |
|
| 964 | + ), |
|
| 965 | + array( |
|
| 966 | + array(-32856209, -7873957, -5422389, 14860950, -16319031, 7956142, 7258061, 311861, -30594991, -7379421), |
|
| 967 | + array(-3773428, -1565936, 28985340, 7499440, 24445838, 9325937, 29727763, 16527196, 18278453, 15405622), |
|
| 968 | + array(-4381906, 8508652, -19898366, -3674424, -5984453, 15149970, -13313598, 843523, -21875062, 13626197), |
|
| 969 | + ), |
|
| 970 | + array( |
|
| 971 | + array(2281448, -13487055, -10915418, -2609910, 1879358, 16164207, -10783882, 3953792, 13340839, 15928663), |
|
| 972 | + array(31727126, -7179855, -18437503, -8283652, 2875793, -16390330, -25269894, -7014826, -23452306, 5964753), |
|
| 973 | + array(4100420, -5959452, -17179337, 6017714, -18705837, 12227141, -26684835, 11344144, 2538215, -7570755), |
|
| 974 | + ), |
|
| 975 | + array( |
|
| 976 | + array(-9433605, 6123113, 11159803, -2156608, 30016280, 14966241, -20474983, 1485421, -629256, -15958862), |
|
| 977 | + array(-26804558, 4260919, 11851389, 9658551, -32017107, 16367492, -20205425, -13191288, 11659922, -11115118), |
|
| 978 | + array(26180396, 10015009, -30844224, -8581293, 5418197, 9480663, 2231568, -10170080, 33100372, -1306171), |
|
| 979 | + ), |
|
| 980 | + array( |
|
| 981 | + array(15121113, -5201871, -10389905, 15427821, -27509937, -15992507, 21670947, 4486675, -5931810, -14466380), |
|
| 982 | + array(16166486, -9483733, -11104130, 6023908, -31926798, -1364923, 2340060, -16254968, -10735770, -10039824), |
|
| 983 | + array(28042865, -3557089, -12126526, 12259706, -3717498, -6945899, 6766453, -8689599, 18036436, 5803270), |
|
| 984 | + ), |
|
| 985 | + ), |
|
| 986 | + array( |
|
| 987 | + array( |
|
| 988 | + array(-817581, 6763912, 11803561, 1585585, 10958447, -2671165, 23855391, 4598332, -6159431, -14117438), |
|
| 989 | + array(-31031306, -14256194, 17332029, -2383520, 31312682, -5967183, 696309, 50292, -20095739, 11763584), |
|
| 990 | + array(-594563, -2514283, -32234153, 12643980, 12650761, 14811489, 665117, -12613632, -19773211, -10713562), |
|
| 991 | + ), |
|
| 992 | + array( |
|
| 993 | + array(30464590, -11262872, -4127476, -12734478, 19835327, -7105613, -24396175, 2075773, -17020157, 992471), |
|
| 994 | + array(18357185, -6994433, 7766382, 16342475, -29324918, 411174, 14578841, 8080033, -11574335, -10601610), |
|
| 995 | + array(19598397, 10334610, 12555054, 2555664, 18821899, -10339780, 21873263, 16014234, 26224780, 16452269), |
|
| 996 | + ), |
|
| 997 | + array( |
|
| 998 | + array(-30223925, 5145196, 5944548, 16385966, 3976735, 2009897, -11377804, -7618186, -20533829, 3698650), |
|
| 999 | + array(14187449, 3448569, -10636236, -10810935, -22663880, -3433596, 7268410, -10890444, 27394301, 12015369), |
|
| 1000 | + array(19695761, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, -1312777, -13259127, -3402461), |
|
| 1001 | + ), |
|
| 1002 | + array( |
|
| 1003 | + array(30860103, 12735208, -1888245, -4699734, -16974906, 2256940, -8166013, 12298312, -8550524, -10393462), |
|
| 1004 | + array(-5719826, -11245325, -1910649, 15569035, 26642876, -7587760, -5789354, -15118654, -4976164, 12651793), |
|
| 1005 | + array(-2848395, 9953421, 11531313, -5282879, 26895123, -12697089, -13118820, -16517902, 9768698, -2533218), |
|
| 1006 | + ), |
|
| 1007 | + array( |
|
| 1008 | + array(-24719459, 1894651, -287698, -4704085, 15348719, -8156530, 32767513, 12765450, 4940095, 10678226), |
|
| 1009 | + array(18860224, 15980149, -18987240, -1562570, -26233012, -11071856, -7843882, 13944024, -24372348, 16582019), |
|
| 1010 | + array(-15504260, 4970268, -29893044, 4175593, -20993212, -2199756, -11704054, 15444560, -11003761, 7989037), |
|
| 1011 | + ), |
|
| 1012 | + array( |
|
| 1013 | + array(31490452, 5568061, -2412803, 2182383, -32336847, 4531686, -32078269, 6200206, -19686113, -14800171), |
|
| 1014 | + array(-17308668, -15879940, -31522777, -2831, -32887382, 16375549, 8680158, -16371713, 28550068, -6857132), |
|
| 1015 | + array(-28126887, -5688091, 16837845, -1820458, -6850681, 12700016, -30039981, 4364038, 1155602, 5988841), |
|
| 1016 | + ), |
|
| 1017 | + array( |
|
| 1018 | + array(21890435, -13272907, -12624011, 12154349, -7831873, 15300496, 23148983, -4470481, 24618407, 8283181), |
|
| 1019 | + array(-33136107, -10512751, 9975416, 6841041, -31559793, 16356536, 3070187, -7025928, 1466169, 10740210), |
|
| 1020 | + array(-1509399, -15488185, -13503385, -10655916, 32799044, 909394, -13938903, -5779719, -32164649, -15327040), |
|
| 1021 | + ), |
|
| 1022 | + array( |
|
| 1023 | + array(3960823, -14267803, -28026090, -15918051, -19404858, 13146868, 15567327, 951507, -3260321, -573935), |
|
| 1024 | + array(24740841, 5052253, -30094131, 8961361, 25877428, 6165135, -24368180, 14397372, -7380369, -6144105), |
|
| 1025 | + array(-28888365, 3510803, -28103278, -1158478, -11238128, -10631454, -15441463, -14453128, -1625486, -6494814), |
|
| 1026 | + ), |
|
| 1027 | + ), |
|
| 1028 | + array( |
|
| 1029 | + array( |
|
| 1030 | + array(793299, -9230478, 8836302, -6235707, -27360908, -2369593, 33152843, -4885251, -9906200, -621852), |
|
| 1031 | + array(5666233, 525582, 20782575, -8038419, -24538499, 14657740, 16099374, 1468826, -6171428, -15186581), |
|
| 1032 | + array(-4859255, -3779343, -2917758, -6748019, 7778750, 11688288, -30404353, -9871238, -1558923, -9863646), |
|
| 1033 | + ), |
|
| 1034 | + array( |
|
| 1035 | + array(10896332, -7719704, 824275, 472601, -19460308, 3009587, 25248958, 14783338, -30581476, -15757844), |
|
| 1036 | + array(10566929, 12612572, -31944212, 11118703, -12633376, 12362879, 21752402, 8822496, 24003793, 14264025), |
|
| 1037 | + array(27713862, -7355973, -11008240, 9227530, 27050101, 2504721, 23886875, -13117525, 13958495, -5732453), |
|
| 1038 | + ), |
|
| 1039 | + array( |
|
| 1040 | + array(-23481610, 4867226, -27247128, 3900521, 29838369, -8212291, -31889399, -10041781, 7340521, -15410068), |
|
| 1041 | + array(4646514, -8011124, -22766023, -11532654, 23184553, 8566613, 31366726, -1381061, -15066784, -10375192), |
|
| 1042 | + array(-17270517, 12723032, -16993061, 14878794, 21619651, -6197576, 27584817, 3093888, -8843694, 3849921), |
|
| 1043 | + ), |
|
| 1044 | + array( |
|
| 1045 | + array(-9064912, 2103172, 25561640, -15125738, -5239824, 9582958, 32477045, -9017955, 5002294, -15550259), |
|
| 1046 | + array(-12057553, -11177906, 21115585, -13365155, 8808712, -12030708, 16489530, 13378448, -25845716, 12741426), |
|
| 1047 | + array(-5946367, 10645103, -30911586, 15390284, -3286982, -7118677, 24306472, 15852464, 28834118, -7646072), |
|
| 1048 | + ), |
|
| 1049 | + array( |
|
| 1050 | + array(-17335748, -9107057, -24531279, 9434953, -8472084, -583362, -13090771, 455841, 20461858, 5491305), |
|
| 1051 | + array(13669248, -16095482, -12481974, -10203039, -14569770, -11893198, -24995986, 11293807, -28588204, -9421832), |
|
| 1052 | + array(28497928, 6272777, -33022994, 14470570, 8906179, -1225630, 18504674, -14165166, 29867745, -8795943), |
|
| 1053 | + ), |
|
| 1054 | + array( |
|
| 1055 | + array(-16207023, 13517196, -27799630, -13697798, 24009064, -6373891, -6367600, -13175392, 22853429, -4012011), |
|
| 1056 | + array(24191378, 16712145, -13931797, 15217831, 14542237, 1646131, 18603514, -11037887, 12876623, -2112447), |
|
| 1057 | + array(17902668, 4518229, -411702, -2829247, 26878217, 5258055, -12860753, 608397, 16031844, 3723494), |
|
| 1058 | + ), |
|
| 1059 | + array( |
|
| 1060 | + array(-28632773, 12763728, -20446446, 7577504, 33001348, -13017745, 17558842, -7872890, 23896954, -4314245), |
|
| 1061 | + array(-20005381, -12011952, 31520464, 605201, 2543521, 5991821, -2945064, 7229064, -9919646, -8826859), |
|
| 1062 | + array(28816045, 298879, -28165016, -15920938, 19000928, -1665890, -12680833, -2949325, -18051778, -2082915), |
|
| 1063 | + ), |
|
| 1064 | + array( |
|
| 1065 | + array(16000882, -344896, 3493092, -11447198, -29504595, -13159789, 12577740, 16041268, -19715240, 7847707), |
|
| 1066 | + array(10151868, 10572098, 27312476, 7922682, 14825339, 4723128, -32855931, -6519018, -10020567, 3852848), |
|
| 1067 | + array(-11430470, 15697596, -21121557, -4420647, 5386314, 15063598, 16514493, -15932110, 29330899, -15076224), |
|
| 1068 | + ), |
|
| 1069 | + ), |
|
| 1070 | + array( |
|
| 1071 | + array( |
|
| 1072 | + array(-25499735, -4378794, -15222908, -6901211, 16615731, 2051784, 3303702, 15490, -27548796, 12314391), |
|
| 1073 | + array(15683520, -6003043, 18109120, -9980648, 15337968, -5997823, -16717435, 15921866, 16103996, -3731215), |
|
| 1074 | + array(-23169824, -10781249, 13588192, -1628807, -3798557, -1074929, -19273607, 5402699, -29815713, -9841101), |
|
| 1075 | + ), |
|
| 1076 | + array( |
|
| 1077 | + array(23190676, 2384583, -32714340, 3462154, -29903655, -1529132, -11266856, 8911517, -25205859, 2739713), |
|
| 1078 | + array(21374101, -3554250, -33524649, 9874411, 15377179, 11831242, -33529904, 6134907, 4931255, 11987849), |
|
| 1079 | + array(-7732, -2978858, -16223486, 7277597, 105524, -322051, -31480539, 13861388, -30076310, 10117930), |
|
| 1080 | + ), |
|
| 1081 | + array( |
|
| 1082 | + array(-29501170, -10744872, -26163768, 13051539, -25625564, 5089643, -6325503, 6704079, 12890019, 15728940), |
|
| 1083 | + array(-21972360, -11771379, -951059, -4418840, 14704840, 2695116, 903376, -10428139, 12885167, 8311031), |
|
| 1084 | + array(-17516482, 5352194, 10384213, -13811658, 7506451, 13453191, 26423267, 4384730, 1888765, -5435404), |
|
| 1085 | + ), |
|
| 1086 | + array( |
|
| 1087 | + array(-25817338, -3107312, -13494599, -3182506, 30896459, -13921729, -32251644, -12707869, -19464434, -3340243), |
|
| 1088 | + array(-23607977, -2665774, -526091, 4651136, 5765089, 4618330, 6092245, 14845197, 17151279, -9854116), |
|
| 1089 | + array(-24830458, -12733720, -15165978, 10367250, -29530908, -265356, 22825805, -7087279, -16866484, 16176525), |
|
| 1090 | + ), |
|
| 1091 | + array( |
|
| 1092 | + array(-23583256, 6564961, 20063689, 3798228, -4740178, 7359225, 2006182, -10363426, -28746253, -10197509), |
|
| 1093 | + array(-10626600, -4486402, -13320562, -5125317, 3432136, -6393229, 23632037, -1940610, 32808310, 1099883), |
|
| 1094 | + array(15030977, 5768825, -27451236, -2887299, -6427378, -15361371, -15277896, -6809350, 2051441, -15225865), |
|
| 1095 | + ), |
|
| 1096 | + array( |
|
| 1097 | + array(-3362323, -7239372, 7517890, 9824992, 23555850, 295369, 5148398, -14154188, -22686354, 16633660), |
|
| 1098 | + array(4577086, -16752288, 13249841, -15304328, 19958763, -14537274, 18559670, -10759549, 8402478, -9864273), |
|
| 1099 | + array(-28406330, -1051581, -26790155, -907698, -17212414, -11030789, 9453451, -14980072, 17983010, 9967138), |
|
| 1100 | + ), |
|
| 1101 | + array( |
|
| 1102 | + array(-25762494, 6524722, 26585488, 9969270, 24709298, 1220360, -1677990, 7806337, 17507396, 3651560), |
|
| 1103 | + array(-10420457, -4118111, 14584639, 15971087, -15768321, 8861010, 26556809, -5574557, -18553322, -11357135), |
|
| 1104 | + array(2839101, 14284142, 4029895, 3472686, 14402957, 12689363, -26642121, 8459447, -5605463, -7621941), |
|
| 1105 | + ), |
|
| 1106 | + array( |
|
| 1107 | + array(-4839289, -3535444, 9744961, 2871048, 25113978, 3187018, -25110813, -849066, 17258084, -7977739), |
|
| 1108 | + array(18164541, -10595176, -17154882, -1542417, 19237078, -9745295, 23357533, -15217008, 26908270, 12150756), |
|
| 1109 | + array(-30264870, -7647865, 5112249, -7036672, -1499807, -6974257, 43168, -5537701, -32302074, 16215819), |
|
| 1110 | + ), |
|
| 1111 | + ), |
|
| 1112 | + array( |
|
| 1113 | + array( |
|
| 1114 | + array(-6898905, 9824394, -12304779, -4401089, -31397141, -6276835, 32574489, 12532905, -7503072, -8675347), |
|
| 1115 | + array(-27343522, -16515468, -27151524, -10722951, 946346, 16291093, 254968, 7168080, 21676107, -1943028), |
|
| 1116 | + array(21260961, -8424752, -16831886, -11920822, -23677961, 3968121, -3651949, -6215466, -3556191, -7913075), |
|
| 1117 | + ), |
|
| 1118 | + array( |
|
| 1119 | + array(16544754, 13250366, -16804428, 15546242, -4583003, 12757258, -2462308, -8680336, -18907032, -9662799), |
|
| 1120 | + array(-2415239, -15577728, 18312303, 4964443, -15272530, -12653564, 26820651, 16690659, 25459437, -4564609), |
|
| 1121 | + array(-25144690, 11425020, 28423002, -11020557, -6144921, -15826224, 9142795, -2391602, -6432418, -1644817), |
|
| 1122 | + ), |
|
| 1123 | + array( |
|
| 1124 | + array(-23104652, 6253476, 16964147, -3768872, -25113972, -12296437, -27457225, -16344658, 6335692, 7249989), |
|
| 1125 | + array(-30333227, 13979675, 7503222, -12368314, -11956721, -4621693, -30272269, 2682242, 25993170, -12478523), |
|
| 1126 | + array(4364628, 5930691, 32304656, -10044554, -8054781, 15091131, 22857016, -10598955, 31820368, 15075278), |
|
| 1127 | + ), |
|
| 1128 | + array( |
|
| 1129 | + array(31879134, -8918693, 17258761, 90626, -8041836, -4917709, 24162788, -9650886, -17970238, 12833045), |
|
| 1130 | + array(19073683, 14851414, -24403169, -11860168, 7625278, 11091125, -19619190, 2074449, -9413939, 14905377), |
|
| 1131 | + array(24483667, -11935567, -2518866, -11547418, -1553130, 15355506, -25282080, 9253129, 27628530, -7555480), |
|
| 1132 | + ), |
|
| 1133 | + array( |
|
| 1134 | + array(17597607, 8340603, 19355617, 552187, 26198470, -3176583, 4593324, -9157582, -14110875, 15297016), |
|
| 1135 | + array(510886, 14337390, -31785257, 16638632, 6328095, 2713355, -20217417, -11864220, 8683221, 2921426), |
|
| 1136 | + array(18606791, 11874196, 27155355, -5281482, -24031742, 6265446, -25178240, -1278924, 4674690, 13890525), |
|
| 1137 | + ), |
|
| 1138 | + array( |
|
| 1139 | + array(13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396), |
|
| 1140 | + array(9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080), |
|
| 1141 | + array(12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892), |
|
| 1142 | + ), |
|
| 1143 | + array( |
|
| 1144 | + array(15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275), |
|
| 1145 | + array(11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074), |
|
| 1146 | + array(20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140), |
|
| 1147 | + ), |
|
| 1148 | + array( |
|
| 1149 | + array(-16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717), |
|
| 1150 | + array(-1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101), |
|
| 1151 | + array(24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127), |
|
| 1152 | + ), |
|
| 1153 | + ), |
|
| 1154 | + array( |
|
| 1155 | + array( |
|
| 1156 | + array(-12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632), |
|
| 1157 | + array(-26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415), |
|
| 1158 | + array(-31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160), |
|
| 1159 | + ), |
|
| 1160 | + array( |
|
| 1161 | + array(31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876), |
|
| 1162 | + array(22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625), |
|
| 1163 | + array(-15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478), |
|
| 1164 | + ), |
|
| 1165 | + array( |
|
| 1166 | + array(27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164), |
|
| 1167 | + array(26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595), |
|
| 1168 | + array(-7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248), |
|
| 1169 | + ), |
|
| 1170 | + array( |
|
| 1171 | + array(-16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858), |
|
| 1172 | + array(15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193), |
|
| 1173 | + array(8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184), |
|
| 1174 | + ), |
|
| 1175 | + array( |
|
| 1176 | + array(-18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942), |
|
| 1177 | + array(-1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635), |
|
| 1178 | + array(21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948), |
|
| 1179 | + ), |
|
| 1180 | + array( |
|
| 1181 | + array(11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935), |
|
| 1182 | + array(-25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415), |
|
| 1183 | + array(-15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416), |
|
| 1184 | + ), |
|
| 1185 | + array( |
|
| 1186 | + array(-7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018), |
|
| 1187 | + array(4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778), |
|
| 1188 | + array(366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659), |
|
| 1189 | + ), |
|
| 1190 | + array( |
|
| 1191 | + array(-24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385), |
|
| 1192 | + array(18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503), |
|
| 1193 | + array(476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329), |
|
| 1194 | + ), |
|
| 1195 | + ), |
|
| 1196 | + array( |
|
| 1197 | + array( |
|
| 1198 | + array(20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056), |
|
| 1199 | + array(-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838), |
|
| 1200 | + array(24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948), |
|
| 1201 | + ), |
|
| 1202 | + array( |
|
| 1203 | + array(-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691), |
|
| 1204 | + array(-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118), |
|
| 1205 | + array(-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517), |
|
| 1206 | + ), |
|
| 1207 | + array( |
|
| 1208 | + array(-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269), |
|
| 1209 | + array(-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904), |
|
| 1210 | + array(-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589), |
|
| 1211 | + ), |
|
| 1212 | + array( |
|
| 1213 | + array(-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193), |
|
| 1214 | + array(-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910), |
|
| 1215 | + array(-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930), |
|
| 1216 | + ), |
|
| 1217 | + array( |
|
| 1218 | + array(-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667), |
|
| 1219 | + array(25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481), |
|
| 1220 | + array(-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876), |
|
| 1221 | + ), |
|
| 1222 | + array( |
|
| 1223 | + array(22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640), |
|
| 1224 | + array(-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278), |
|
| 1225 | + array(-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112), |
|
| 1226 | + ), |
|
| 1227 | + array( |
|
| 1228 | + array(26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272), |
|
| 1229 | + array(17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012), |
|
| 1230 | + array(-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221), |
|
| 1231 | + ), |
|
| 1232 | + array( |
|
| 1233 | + array(30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046), |
|
| 1234 | + array(13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345), |
|
| 1235 | + array(-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310), |
|
| 1236 | + ), |
|
| 1237 | + ), |
|
| 1238 | + array( |
|
| 1239 | + array( |
|
| 1240 | + array(19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937), |
|
| 1241 | + array(31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636), |
|
| 1242 | + array(-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008), |
|
| 1243 | + ), |
|
| 1244 | + array( |
|
| 1245 | + array(-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429), |
|
| 1246 | + array(-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576), |
|
| 1247 | + array(31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066), |
|
| 1248 | + ), |
|
| 1249 | + array( |
|
| 1250 | + array(-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490), |
|
| 1251 | + array(-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104), |
|
| 1252 | + array(33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053), |
|
| 1253 | + ), |
|
| 1254 | + array( |
|
| 1255 | + array(31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275), |
|
| 1256 | + array(-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511), |
|
| 1257 | + array(22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095), |
|
| 1258 | + ), |
|
| 1259 | + array( |
|
| 1260 | + array(-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439), |
|
| 1261 | + array(23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939), |
|
| 1262 | + array(-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424), |
|
| 1263 | + ), |
|
| 1264 | + array( |
|
| 1265 | + array(2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310), |
|
| 1266 | + array(3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608), |
|
| 1267 | + array(-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079), |
|
| 1268 | + ), |
|
| 1269 | + array( |
|
| 1270 | + array(-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101), |
|
| 1271 | + array(21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418), |
|
| 1272 | + array(18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576), |
|
| 1273 | + ), |
|
| 1274 | + array( |
|
| 1275 | + array(30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356), |
|
| 1276 | + array(9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996), |
|
| 1277 | + array(-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099), |
|
| 1278 | + ), |
|
| 1279 | + ), |
|
| 1280 | + array( |
|
| 1281 | + array( |
|
| 1282 | + array(-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728), |
|
| 1283 | + array(-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658), |
|
| 1284 | + array(-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242), |
|
| 1285 | + ), |
|
| 1286 | + array( |
|
| 1287 | + array(-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001), |
|
| 1288 | + array(-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766), |
|
| 1289 | + array(18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373), |
|
| 1290 | + ), |
|
| 1291 | + array( |
|
| 1292 | + array(26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458), |
|
| 1293 | + array(-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628), |
|
| 1294 | + array(-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657), |
|
| 1295 | + ), |
|
| 1296 | + array( |
|
| 1297 | + array(-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062), |
|
| 1298 | + array(25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616), |
|
| 1299 | + array(31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014), |
|
| 1300 | + ), |
|
| 1301 | + array( |
|
| 1302 | + array(24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383), |
|
| 1303 | + array(-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814), |
|
| 1304 | + array(-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718), |
|
| 1305 | + ), |
|
| 1306 | + array( |
|
| 1307 | + array(30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417), |
|
| 1308 | + array(2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222), |
|
| 1309 | + array(33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444), |
|
| 1310 | + ), |
|
| 1311 | + array( |
|
| 1312 | + array(-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597), |
|
| 1313 | + array(23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970), |
|
| 1314 | + array(1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799), |
|
| 1315 | + ), |
|
| 1316 | + array( |
|
| 1317 | + array(-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647), |
|
| 1318 | + array(13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511), |
|
| 1319 | + array(-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032), |
|
| 1320 | + ), |
|
| 1321 | + ), |
|
| 1322 | + array( |
|
| 1323 | + array( |
|
| 1324 | + array(9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834), |
|
| 1325 | + array(-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461), |
|
| 1326 | + array(29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062), |
|
| 1327 | + ), |
|
| 1328 | + array( |
|
| 1329 | + array(-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516), |
|
| 1330 | + array(-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547), |
|
| 1331 | + array(-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240), |
|
| 1332 | + ), |
|
| 1333 | + array( |
|
| 1334 | + array(-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038), |
|
| 1335 | + array(-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741), |
|
| 1336 | + array(16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103), |
|
| 1337 | + ), |
|
| 1338 | + array( |
|
| 1339 | + array(-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747), |
|
| 1340 | + array(-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323), |
|
| 1341 | + array(31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016), |
|
| 1342 | + ), |
|
| 1343 | + array( |
|
| 1344 | + array(-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373), |
|
| 1345 | + array(15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228), |
|
| 1346 | + array(-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141), |
|
| 1347 | + ), |
|
| 1348 | + array( |
|
| 1349 | + array(16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399), |
|
| 1350 | + array(11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831), |
|
| 1351 | + array(-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376), |
|
| 1352 | + ), |
|
| 1353 | + array( |
|
| 1354 | + array(-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313), |
|
| 1355 | + array(-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958), |
|
| 1356 | + array(-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577), |
|
| 1357 | + ), |
|
| 1358 | + array( |
|
| 1359 | + array(-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743), |
|
| 1360 | + array(29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684), |
|
| 1361 | + array(-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476), |
|
| 1362 | + ), |
|
| 1363 | + ) |
|
| 1364 | + ); |
|
| 1365 | 1365 | |
| 1366 | - /** |
|
| 1367 | - * See: libsodium's crypto_core/curve25519/ref10/base2.h |
|
| 1368 | - * |
|
| 1369 | - * @var array basically int[8][3] |
|
| 1370 | - */ |
|
| 1371 | - protected static $base2 = array( |
|
| 1372 | - array( |
|
| 1373 | - array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), |
|
| 1374 | - array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), |
|
| 1375 | - array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), |
|
| 1376 | - ), |
|
| 1377 | - array( |
|
| 1378 | - array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), |
|
| 1379 | - array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), |
|
| 1380 | - array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), |
|
| 1381 | - ), |
|
| 1382 | - array( |
|
| 1383 | - array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), |
|
| 1384 | - array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), |
|
| 1385 | - array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), |
|
| 1386 | - ), |
|
| 1387 | - array( |
|
| 1388 | - array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), |
|
| 1389 | - array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), |
|
| 1390 | - array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), |
|
| 1391 | - ), |
|
| 1392 | - array( |
|
| 1393 | - array(-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877), |
|
| 1394 | - array(-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951), |
|
| 1395 | - array(4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784), |
|
| 1396 | - ), |
|
| 1397 | - array( |
|
| 1398 | - array(-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436), |
|
| 1399 | - array(25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918), |
|
| 1400 | - array(23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877), |
|
| 1401 | - ), |
|
| 1402 | - array( |
|
| 1403 | - array(-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800), |
|
| 1404 | - array(-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305), |
|
| 1405 | - array(-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300), |
|
| 1406 | - ), |
|
| 1407 | - array( |
|
| 1408 | - array(-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876), |
|
| 1409 | - array(-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619), |
|
| 1410 | - array(-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683), |
|
| 1411 | - ) |
|
| 1412 | - ); |
|
| 1366 | + /** |
|
| 1367 | + * See: libsodium's crypto_core/curve25519/ref10/base2.h |
|
| 1368 | + * |
|
| 1369 | + * @var array basically int[8][3] |
|
| 1370 | + */ |
|
| 1371 | + protected static $base2 = array( |
|
| 1372 | + array( |
|
| 1373 | + array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), |
|
| 1374 | + array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), |
|
| 1375 | + array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), |
|
| 1376 | + ), |
|
| 1377 | + array( |
|
| 1378 | + array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), |
|
| 1379 | + array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), |
|
| 1380 | + array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), |
|
| 1381 | + ), |
|
| 1382 | + array( |
|
| 1383 | + array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), |
|
| 1384 | + array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), |
|
| 1385 | + array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), |
|
| 1386 | + ), |
|
| 1387 | + array( |
|
| 1388 | + array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), |
|
| 1389 | + array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), |
|
| 1390 | + array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), |
|
| 1391 | + ), |
|
| 1392 | + array( |
|
| 1393 | + array(-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877), |
|
| 1394 | + array(-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951), |
|
| 1395 | + array(4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784), |
|
| 1396 | + ), |
|
| 1397 | + array( |
|
| 1398 | + array(-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436), |
|
| 1399 | + array(25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918), |
|
| 1400 | + array(23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877), |
|
| 1401 | + ), |
|
| 1402 | + array( |
|
| 1403 | + array(-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800), |
|
| 1404 | + array(-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305), |
|
| 1405 | + array(-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300), |
|
| 1406 | + ), |
|
| 1407 | + array( |
|
| 1408 | + array(-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876), |
|
| 1409 | + array(-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619), |
|
| 1410 | + array(-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683), |
|
| 1411 | + ) |
|
| 1412 | + ); |
|
| 1413 | 1413 | |
| 1414 | - /** |
|
| 1415 | - * 37095705934669439343138083508754565189542113879843219016388785533085940283555 |
|
| 1416 | - * |
|
| 1417 | - * @var array<int, int> |
|
| 1418 | - */ |
|
| 1419 | - protected static $d = array( |
|
| 1420 | - -10913610, |
|
| 1421 | - 13857413, |
|
| 1422 | - -15372611, |
|
| 1423 | - 6949391, |
|
| 1424 | - 114729, |
|
| 1425 | - -8787816, |
|
| 1426 | - -6275908, |
|
| 1427 | - -3247719, |
|
| 1428 | - -18696448, |
|
| 1429 | - -12055116 |
|
| 1430 | - ); |
|
| 1414 | + /** |
|
| 1415 | + * 37095705934669439343138083508754565189542113879843219016388785533085940283555 |
|
| 1416 | + * |
|
| 1417 | + * @var array<int, int> |
|
| 1418 | + */ |
|
| 1419 | + protected static $d = array( |
|
| 1420 | + -10913610, |
|
| 1421 | + 13857413, |
|
| 1422 | + -15372611, |
|
| 1423 | + 6949391, |
|
| 1424 | + 114729, |
|
| 1425 | + -8787816, |
|
| 1426 | + -6275908, |
|
| 1427 | + -3247719, |
|
| 1428 | + -18696448, |
|
| 1429 | + -12055116 |
|
| 1430 | + ); |
|
| 1431 | 1431 | |
| 1432 | - /** |
|
| 1433 | - * 2 * d = 16295367250680780974490674513165176452449235426866156013048779062215315747161 |
|
| 1434 | - * |
|
| 1435 | - * @var array<int, int> |
|
| 1436 | - */ |
|
| 1437 | - protected static $d2 = array( |
|
| 1438 | - -21827239, |
|
| 1439 | - -5839606, |
|
| 1440 | - -30745221, |
|
| 1441 | - 13898782, |
|
| 1442 | - 229458, |
|
| 1443 | - 15978800, |
|
| 1444 | - -12551817, |
|
| 1445 | - -6495438, |
|
| 1446 | - 29715968, |
|
| 1447 | - 9444199 |
|
| 1448 | - ); |
|
| 1432 | + /** |
|
| 1433 | + * 2 * d = 16295367250680780974490674513165176452449235426866156013048779062215315747161 |
|
| 1434 | + * |
|
| 1435 | + * @var array<int, int> |
|
| 1436 | + */ |
|
| 1437 | + protected static $d2 = array( |
|
| 1438 | + -21827239, |
|
| 1439 | + -5839606, |
|
| 1440 | + -30745221, |
|
| 1441 | + 13898782, |
|
| 1442 | + 229458, |
|
| 1443 | + 15978800, |
|
| 1444 | + -12551817, |
|
| 1445 | + -6495438, |
|
| 1446 | + 29715968, |
|
| 1447 | + 9444199 |
|
| 1448 | + ); |
|
| 1449 | 1449 | |
| 1450 | - /** |
|
| 1451 | - * sqrt(-1) |
|
| 1452 | - * |
|
| 1453 | - * @var array<int, int> |
|
| 1454 | - */ |
|
| 1455 | - protected static $sqrtm1 = array( |
|
| 1456 | - -32595792, |
|
| 1457 | - -7943725, |
|
| 1458 | - 9377950, |
|
| 1459 | - 3500415, |
|
| 1460 | - 12389472, |
|
| 1461 | - -272473, |
|
| 1462 | - -25146209, |
|
| 1463 | - -2005654, |
|
| 1464 | - 326686, |
|
| 1465 | - 11406482 |
|
| 1466 | - ); |
|
| 1450 | + /** |
|
| 1451 | + * sqrt(-1) |
|
| 1452 | + * |
|
| 1453 | + * @var array<int, int> |
|
| 1454 | + */ |
|
| 1455 | + protected static $sqrtm1 = array( |
|
| 1456 | + -32595792, |
|
| 1457 | + -7943725, |
|
| 1458 | + 9377950, |
|
| 1459 | + 3500415, |
|
| 1460 | + 12389472, |
|
| 1461 | + -272473, |
|
| 1462 | + -25146209, |
|
| 1463 | + -2005654, |
|
| 1464 | + 326686, |
|
| 1465 | + 11406482 |
|
| 1466 | + ); |
|
| 1467 | 1467 | |
| 1468 | - /** |
|
| 1469 | - * 1 / sqrt(a - d) |
|
| 1470 | - * |
|
| 1471 | - * @var array<int, int> |
|
| 1472 | - */ |
|
| 1473 | - protected static $invsqrtamd = array( |
|
| 1474 | - 6111485, |
|
| 1475 | - 4156064, |
|
| 1476 | - -27798727, |
|
| 1477 | - 12243468, |
|
| 1478 | - -25904040, |
|
| 1479 | - 120897, |
|
| 1480 | - 20826367, |
|
| 1481 | - -7060776, |
|
| 1482 | - 6093568, |
|
| 1483 | - -1986012 |
|
| 1484 | - ); |
|
| 1468 | + /** |
|
| 1469 | + * 1 / sqrt(a - d) |
|
| 1470 | + * |
|
| 1471 | + * @var array<int, int> |
|
| 1472 | + */ |
|
| 1473 | + protected static $invsqrtamd = array( |
|
| 1474 | + 6111485, |
|
| 1475 | + 4156064, |
|
| 1476 | + -27798727, |
|
| 1477 | + 12243468, |
|
| 1478 | + -25904040, |
|
| 1479 | + 120897, |
|
| 1480 | + 20826367, |
|
| 1481 | + -7060776, |
|
| 1482 | + 6093568, |
|
| 1483 | + -1986012 |
|
| 1484 | + ); |
|
| 1485 | 1485 | |
| 1486 | - /** |
|
| 1487 | - * sqrt(ad - 1) with a = -1 (mod p) |
|
| 1488 | - * |
|
| 1489 | - * @var array<int, int> |
|
| 1490 | - */ |
|
| 1491 | - protected static $sqrtadm1 = array( |
|
| 1492 | - 24849947, |
|
| 1493 | - -153582, |
|
| 1494 | - -23613485, |
|
| 1495 | - 6347715, |
|
| 1496 | - -21072328, |
|
| 1497 | - -667138, |
|
| 1498 | - -25271143, |
|
| 1499 | - -15367704, |
|
| 1500 | - -870347, |
|
| 1501 | - 14525639 |
|
| 1502 | - ); |
|
| 1486 | + /** |
|
| 1487 | + * sqrt(ad - 1) with a = -1 (mod p) |
|
| 1488 | + * |
|
| 1489 | + * @var array<int, int> |
|
| 1490 | + */ |
|
| 1491 | + protected static $sqrtadm1 = array( |
|
| 1492 | + 24849947, |
|
| 1493 | + -153582, |
|
| 1494 | + -23613485, |
|
| 1495 | + 6347715, |
|
| 1496 | + -21072328, |
|
| 1497 | + -667138, |
|
| 1498 | + -25271143, |
|
| 1499 | + -15367704, |
|
| 1500 | + -870347, |
|
| 1501 | + 14525639 |
|
| 1502 | + ); |
|
| 1503 | 1503 | |
| 1504 | - /** |
|
| 1505 | - * 1 - d ^ 2 |
|
| 1506 | - * |
|
| 1507 | - * @var array<int, int> |
|
| 1508 | - */ |
|
| 1509 | - protected static $onemsqd = array( |
|
| 1510 | - 6275446, |
|
| 1511 | - -16617371, |
|
| 1512 | - -22938544, |
|
| 1513 | - -3773710, |
|
| 1514 | - 11667077, |
|
| 1515 | - 7397348, |
|
| 1516 | - -27922721, |
|
| 1517 | - 1766195, |
|
| 1518 | - -24433858, |
|
| 1519 | - 672203 |
|
| 1520 | - ); |
|
| 1504 | + /** |
|
| 1505 | + * 1 - d ^ 2 |
|
| 1506 | + * |
|
| 1507 | + * @var array<int, int> |
|
| 1508 | + */ |
|
| 1509 | + protected static $onemsqd = array( |
|
| 1510 | + 6275446, |
|
| 1511 | + -16617371, |
|
| 1512 | + -22938544, |
|
| 1513 | + -3773710, |
|
| 1514 | + 11667077, |
|
| 1515 | + 7397348, |
|
| 1516 | + -27922721, |
|
| 1517 | + 1766195, |
|
| 1518 | + -24433858, |
|
| 1519 | + 672203 |
|
| 1520 | + ); |
|
| 1521 | 1521 | |
| 1522 | - /** |
|
| 1523 | - * (d - 1) ^ 2 |
|
| 1524 | - * @var array<int, int> |
|
| 1525 | - */ |
|
| 1526 | - protected static $sqdmone = array( |
|
| 1527 | - 15551795, |
|
| 1528 | - -11097455, |
|
| 1529 | - -13425098, |
|
| 1530 | - -10125071, |
|
| 1531 | - -11896535, |
|
| 1532 | - 10178284, |
|
| 1533 | - -26634327, |
|
| 1534 | - 4729244, |
|
| 1535 | - -5282110, |
|
| 1536 | - -10116402 |
|
| 1537 | - ); |
|
| 1522 | + /** |
|
| 1523 | + * (d - 1) ^ 2 |
|
| 1524 | + * @var array<int, int> |
|
| 1525 | + */ |
|
| 1526 | + protected static $sqdmone = array( |
|
| 1527 | + 15551795, |
|
| 1528 | + -11097455, |
|
| 1529 | + -13425098, |
|
| 1530 | + -10125071, |
|
| 1531 | + -11896535, |
|
| 1532 | + 10178284, |
|
| 1533 | + -26634327, |
|
| 1534 | + 4729244, |
|
| 1535 | + -5282110, |
|
| 1536 | + -10116402 |
|
| 1537 | + ); |
|
| 1538 | 1538 | |
| 1539 | 1539 | |
| 1540 | - /* |
|
| 1540 | + /* |
|
| 1541 | 1541 | * 2^252+27742317777372353535851937790883648493 |
| 1542 | 1542 | static const unsigned char L[] = { |
| 1543 | 1543 | 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, |
@@ -1545,5 +1545,5 @@ discard block |
||
| 1545 | 1545 | 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 |
| 1546 | 1546 | }; |
| 1547 | 1547 | */ |
| 1548 | - const L = "\xed\xd3\xf5\x5c\x1a\x63\x12\x58\xd6\x9c\xf7\xa2\xde\xf9\xde\x14\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x10"; |
|
| 1548 | + const L = "\xed\xd3\xf5\x5c\x1a\x63\x12\x58\xd6\x9c\xf7\xa2\xde\xf9\xde\x14\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x10"; |
|
| 1549 | 1549 | } |
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Ge_P3', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -9,57 +9,57 @@ discard block |
||
| 9 | 9 | */ |
| 10 | 10 | class ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
| 11 | 11 | { |
| 12 | - /** |
|
| 13 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | - */ |
|
| 15 | - public $X; |
|
| 12 | + /** |
|
| 13 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | + */ |
|
| 15 | + public $X; |
|
| 16 | 16 | |
| 17 | - /** |
|
| 18 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | - */ |
|
| 20 | - public $Y; |
|
| 17 | + /** |
|
| 18 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | + */ |
|
| 20 | + public $Y; |
|
| 21 | 21 | |
| 22 | - /** |
|
| 23 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | - */ |
|
| 25 | - public $Z; |
|
| 22 | + /** |
|
| 23 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | + */ |
|
| 25 | + public $Z; |
|
| 26 | 26 | |
| 27 | - /** |
|
| 28 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 29 | - */ |
|
| 30 | - public $T; |
|
| 27 | + /** |
|
| 28 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 29 | + */ |
|
| 30 | + public $T; |
|
| 31 | 31 | |
| 32 | - /** |
|
| 33 | - * ParagonIE_Sodium_Core_Curve25519_Ge_P3 constructor. |
|
| 34 | - * |
|
| 35 | - * @internal You should not use this directly from another application |
|
| 36 | - * |
|
| 37 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 38 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 39 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 40 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $t |
|
| 41 | - */ |
|
| 42 | - public function __construct( |
|
| 43 | - ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 44 | - ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 45 | - ParagonIE_Sodium_Core_Curve25519_Fe $z = null, |
|
| 46 | - ParagonIE_Sodium_Core_Curve25519_Fe $t = null |
|
| 47 | - ) { |
|
| 48 | - if ($x === null) { |
|
| 49 | - $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 50 | - } |
|
| 51 | - $this->X = $x; |
|
| 52 | - if ($y === null) { |
|
| 53 | - $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 54 | - } |
|
| 55 | - $this->Y = $y; |
|
| 56 | - if ($z === null) { |
|
| 57 | - $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 58 | - } |
|
| 59 | - $this->Z = $z; |
|
| 60 | - if ($t === null) { |
|
| 61 | - $t = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 62 | - } |
|
| 63 | - $this->T = $t; |
|
| 64 | - } |
|
| 32 | + /** |
|
| 33 | + * ParagonIE_Sodium_Core_Curve25519_Ge_P3 constructor. |
|
| 34 | + * |
|
| 35 | + * @internal You should not use this directly from another application |
|
| 36 | + * |
|
| 37 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 38 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 39 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 40 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $t |
|
| 41 | + */ |
|
| 42 | + public function __construct( |
|
| 43 | + ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 44 | + ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 45 | + ParagonIE_Sodium_Core_Curve25519_Fe $z = null, |
|
| 46 | + ParagonIE_Sodium_Core_Curve25519_Fe $t = null |
|
| 47 | + ) { |
|
| 48 | + if ($x === null) { |
|
| 49 | + $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 50 | + } |
|
| 51 | + $this->X = $x; |
|
| 52 | + if ($y === null) { |
|
| 53 | + $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 54 | + } |
|
| 55 | + $this->Y = $y; |
|
| 56 | + if ($z === null) { |
|
| 57 | + $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 58 | + } |
|
| 59 | + $this->Z = $z; |
|
| 60 | + if ($t === null) { |
|
| 61 | + $t = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 62 | + } |
|
| 63 | + $this->T = $t; |
|
| 64 | + } |
|
| 65 | 65 | } |
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Ge_P2', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -9,46 +9,46 @@ discard block |
||
| 9 | 9 | */ |
| 10 | 10 | class ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
| 11 | 11 | { |
| 12 | - /** |
|
| 13 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | - */ |
|
| 15 | - public $X; |
|
| 12 | + /** |
|
| 13 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | + */ |
|
| 15 | + public $X; |
|
| 16 | 16 | |
| 17 | - /** |
|
| 18 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | - */ |
|
| 20 | - public $Y; |
|
| 17 | + /** |
|
| 18 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | + */ |
|
| 20 | + public $Y; |
|
| 21 | 21 | |
| 22 | - /** |
|
| 23 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | - */ |
|
| 25 | - public $Z; |
|
| 22 | + /** |
|
| 23 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | + */ |
|
| 25 | + public $Z; |
|
| 26 | 26 | |
| 27 | - /** |
|
| 28 | - * ParagonIE_Sodium_Core_Curve25519_Ge_P2 constructor. |
|
| 29 | - * |
|
| 30 | - * @internal You should not use this directly from another application |
|
| 31 | - * |
|
| 32 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 33 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 34 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 35 | - */ |
|
| 36 | - public function __construct( |
|
| 37 | - ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 38 | - ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 39 | - ParagonIE_Sodium_Core_Curve25519_Fe $z = null |
|
| 40 | - ) { |
|
| 41 | - if ($x === null) { |
|
| 42 | - $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | - } |
|
| 44 | - $this->X = $x; |
|
| 45 | - if ($y === null) { |
|
| 46 | - $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 47 | - } |
|
| 48 | - $this->Y = $y; |
|
| 49 | - if ($z === null) { |
|
| 50 | - $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 51 | - } |
|
| 52 | - $this->Z = $z; |
|
| 53 | - } |
|
| 27 | + /** |
|
| 28 | + * ParagonIE_Sodium_Core_Curve25519_Ge_P2 constructor. |
|
| 29 | + * |
|
| 30 | + * @internal You should not use this directly from another application |
|
| 31 | + * |
|
| 32 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 33 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 34 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 35 | + */ |
|
| 36 | + public function __construct( |
|
| 37 | + ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 38 | + ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 39 | + ParagonIE_Sodium_Core_Curve25519_Fe $z = null |
|
| 40 | + ) { |
|
| 41 | + if ($x === null) { |
|
| 42 | + $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | + } |
|
| 44 | + $this->X = $x; |
|
| 45 | + if ($y === null) { |
|
| 46 | + $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 47 | + } |
|
| 48 | + $this->Y = $y; |
|
| 49 | + if ($z === null) { |
|
| 50 | + $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 51 | + } |
|
| 52 | + $this->Z = $z; |
|
| 53 | + } |
|
| 54 | 54 | } |
@@ -1,64 +1,64 @@ |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Ge_P1p1', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | /** |
| 7 | 7 | * Class ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
| 8 | 8 | */ |
| 9 | 9 | class ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
| 10 | 10 | { |
| 11 | - /** |
|
| 12 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 13 | - */ |
|
| 14 | - public $X; |
|
| 11 | + /** |
|
| 12 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 13 | + */ |
|
| 14 | + public $X; |
|
| 15 | 15 | |
| 16 | - /** |
|
| 17 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 18 | - */ |
|
| 19 | - public $Y; |
|
| 16 | + /** |
|
| 17 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 18 | + */ |
|
| 19 | + public $Y; |
|
| 20 | 20 | |
| 21 | - /** |
|
| 22 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 23 | - */ |
|
| 24 | - public $Z; |
|
| 21 | + /** |
|
| 22 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 23 | + */ |
|
| 24 | + public $Z; |
|
| 25 | 25 | |
| 26 | - /** |
|
| 27 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 28 | - */ |
|
| 29 | - public $T; |
|
| 26 | + /** |
|
| 27 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 28 | + */ |
|
| 29 | + public $T; |
|
| 30 | 30 | |
| 31 | - /** |
|
| 32 | - * ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 constructor. |
|
| 33 | - * |
|
| 34 | - * @internal You should not use this directly from another application |
|
| 35 | - * |
|
| 36 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 37 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 38 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 39 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $t |
|
| 40 | - */ |
|
| 41 | - public function __construct( |
|
| 42 | - ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 43 | - ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 44 | - ParagonIE_Sodium_Core_Curve25519_Fe $z = null, |
|
| 45 | - ParagonIE_Sodium_Core_Curve25519_Fe $t = null |
|
| 46 | - ) { |
|
| 47 | - if ($x === null) { |
|
| 48 | - $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 49 | - } |
|
| 50 | - $this->X = $x; |
|
| 51 | - if ($y === null) { |
|
| 52 | - $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 53 | - } |
|
| 54 | - $this->Y = $y; |
|
| 55 | - if ($z === null) { |
|
| 56 | - $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 57 | - } |
|
| 58 | - $this->Z = $z; |
|
| 59 | - if ($t === null) { |
|
| 60 | - $t = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 61 | - } |
|
| 62 | - $this->T = $t; |
|
| 63 | - } |
|
| 31 | + /** |
|
| 32 | + * ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 constructor. |
|
| 33 | + * |
|
| 34 | + * @internal You should not use this directly from another application |
|
| 35 | + * |
|
| 36 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $x |
|
| 37 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $y |
|
| 38 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $z |
|
| 39 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $t |
|
| 40 | + */ |
|
| 41 | + public function __construct( |
|
| 42 | + ParagonIE_Sodium_Core_Curve25519_Fe $x = null, |
|
| 43 | + ParagonIE_Sodium_Core_Curve25519_Fe $y = null, |
|
| 44 | + ParagonIE_Sodium_Core_Curve25519_Fe $z = null, |
|
| 45 | + ParagonIE_Sodium_Core_Curve25519_Fe $t = null |
|
| 46 | + ) { |
|
| 47 | + if ($x === null) { |
|
| 48 | + $x = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 49 | + } |
|
| 50 | + $this->X = $x; |
|
| 51 | + if ($y === null) { |
|
| 52 | + $y = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 53 | + } |
|
| 54 | + $this->Y = $y; |
|
| 55 | + if ($z === null) { |
|
| 56 | + $z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 57 | + } |
|
| 58 | + $this->Z = $z; |
|
| 59 | + if ($t === null) { |
|
| 60 | + $t = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 61 | + } |
|
| 62 | + $this->T = $t; |
|
| 63 | + } |
|
| 64 | 64 | } |
@@ -2,64 +2,64 @@ |
||
| 2 | 2 | |
| 3 | 3 | |
| 4 | 4 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Ge_Cached', false)) { |
| 5 | - return; |
|
| 5 | + return; |
|
| 6 | 6 | } |
| 7 | 7 | /** |
| 8 | 8 | * Class ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
| 9 | 9 | */ |
| 10 | 10 | class ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
| 11 | 11 | { |
| 12 | - /** |
|
| 13 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | - */ |
|
| 15 | - public $YplusX; |
|
| 12 | + /** |
|
| 13 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | + */ |
|
| 15 | + public $YplusX; |
|
| 16 | 16 | |
| 17 | - /** |
|
| 18 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | - */ |
|
| 20 | - public $YminusX; |
|
| 17 | + /** |
|
| 18 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | + */ |
|
| 20 | + public $YminusX; |
|
| 21 | 21 | |
| 22 | - /** |
|
| 23 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | - */ |
|
| 25 | - public $Z; |
|
| 22 | + /** |
|
| 23 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | + */ |
|
| 25 | + public $Z; |
|
| 26 | 26 | |
| 27 | - /** |
|
| 28 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 29 | - */ |
|
| 30 | - public $T2d; |
|
| 27 | + /** |
|
| 28 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 29 | + */ |
|
| 30 | + public $T2d; |
|
| 31 | 31 | |
| 32 | - /** |
|
| 33 | - * ParagonIE_Sodium_Core_Curve25519_Ge_Cached constructor. |
|
| 34 | - * |
|
| 35 | - * @internal You should not use this directly from another application |
|
| 36 | - * |
|
| 37 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $YplusX |
|
| 38 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $YminusX |
|
| 39 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $Z |
|
| 40 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $T2d |
|
| 41 | - */ |
|
| 42 | - public function __construct( |
|
| 43 | - ParagonIE_Sodium_Core_Curve25519_Fe $YplusX = null, |
|
| 44 | - ParagonIE_Sodium_Core_Curve25519_Fe $YminusX = null, |
|
| 45 | - ParagonIE_Sodium_Core_Curve25519_Fe $Z = null, |
|
| 46 | - ParagonIE_Sodium_Core_Curve25519_Fe $T2d = null |
|
| 47 | - ) { |
|
| 48 | - if ($YplusX === null) { |
|
| 49 | - $YplusX = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 50 | - } |
|
| 51 | - $this->YplusX = $YplusX; |
|
| 52 | - if ($YminusX === null) { |
|
| 53 | - $YminusX = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 54 | - } |
|
| 55 | - $this->YminusX = $YminusX; |
|
| 56 | - if ($Z === null) { |
|
| 57 | - $Z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 58 | - } |
|
| 59 | - $this->Z = $Z; |
|
| 60 | - if ($T2d === null) { |
|
| 61 | - $T2d = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 62 | - } |
|
| 63 | - $this->T2d = $T2d; |
|
| 64 | - } |
|
| 32 | + /** |
|
| 33 | + * ParagonIE_Sodium_Core_Curve25519_Ge_Cached constructor. |
|
| 34 | + * |
|
| 35 | + * @internal You should not use this directly from another application |
|
| 36 | + * |
|
| 37 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $YplusX |
|
| 38 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $YminusX |
|
| 39 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $Z |
|
| 40 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe|null $T2d |
|
| 41 | + */ |
|
| 42 | + public function __construct( |
|
| 43 | + ParagonIE_Sodium_Core_Curve25519_Fe $YplusX = null, |
|
| 44 | + ParagonIE_Sodium_Core_Curve25519_Fe $YminusX = null, |
|
| 45 | + ParagonIE_Sodium_Core_Curve25519_Fe $Z = null, |
|
| 46 | + ParagonIE_Sodium_Core_Curve25519_Fe $T2d = null |
|
| 47 | + ) { |
|
| 48 | + if ($YplusX === null) { |
|
| 49 | + $YplusX = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 50 | + } |
|
| 51 | + $this->YplusX = $YplusX; |
|
| 52 | + if ($YminusX === null) { |
|
| 53 | + $YminusX = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 54 | + } |
|
| 55 | + $this->YminusX = $YminusX; |
|
| 56 | + if ($Z === null) { |
|
| 57 | + $Z = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 58 | + } |
|
| 59 | + $this->Z = $Z; |
|
| 60 | + if ($T2d === null) { |
|
| 61 | + $T2d = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 62 | + } |
|
| 63 | + $this->T2d = $T2d; |
|
| 64 | + } |
|
| 65 | 65 | } |
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519_Ge_Precomp', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -9,46 +9,46 @@ discard block |
||
| 9 | 9 | */ |
| 10 | 10 | class ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
| 11 | 11 | { |
| 12 | - /** |
|
| 13 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | - */ |
|
| 15 | - public $yplusx; |
|
| 12 | + /** |
|
| 13 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 14 | + */ |
|
| 15 | + public $yplusx; |
|
| 16 | 16 | |
| 17 | - /** |
|
| 18 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | - */ |
|
| 20 | - public $yminusx; |
|
| 17 | + /** |
|
| 18 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 19 | + */ |
|
| 20 | + public $yminusx; |
|
| 21 | 21 | |
| 22 | - /** |
|
| 23 | - * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | - */ |
|
| 25 | - public $xy2d; |
|
| 22 | + /** |
|
| 23 | + * @var ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | + */ |
|
| 25 | + public $xy2d; |
|
| 26 | 26 | |
| 27 | - /** |
|
| 28 | - * ParagonIE_Sodium_Core_Curve25519_Ge_Precomp constructor. |
|
| 29 | - * |
|
| 30 | - * @internal You should not use this directly from another application |
|
| 31 | - * |
|
| 32 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $yplusx |
|
| 33 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $yminusx |
|
| 34 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $xy2d |
|
| 35 | - */ |
|
| 36 | - public function __construct( |
|
| 37 | - ParagonIE_Sodium_Core_Curve25519_Fe $yplusx = null, |
|
| 38 | - ParagonIE_Sodium_Core_Curve25519_Fe $yminusx = null, |
|
| 39 | - ParagonIE_Sodium_Core_Curve25519_Fe $xy2d = null |
|
| 40 | - ) { |
|
| 41 | - if ($yplusx === null) { |
|
| 42 | - $yplusx = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | - } |
|
| 44 | - $this->yplusx = $yplusx; |
|
| 45 | - if ($yminusx === null) { |
|
| 46 | - $yminusx = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 47 | - } |
|
| 48 | - $this->yminusx = $yminusx; |
|
| 49 | - if ($xy2d === null) { |
|
| 50 | - $xy2d = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 51 | - } |
|
| 52 | - $this->xy2d = $xy2d; |
|
| 53 | - } |
|
| 27 | + /** |
|
| 28 | + * ParagonIE_Sodium_Core_Curve25519_Ge_Precomp constructor. |
|
| 29 | + * |
|
| 30 | + * @internal You should not use this directly from another application |
|
| 31 | + * |
|
| 32 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $yplusx |
|
| 33 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $yminusx |
|
| 34 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $xy2d |
|
| 35 | + */ |
|
| 36 | + public function __construct( |
|
| 37 | + ParagonIE_Sodium_Core_Curve25519_Fe $yplusx = null, |
|
| 38 | + ParagonIE_Sodium_Core_Curve25519_Fe $yminusx = null, |
|
| 39 | + ParagonIE_Sodium_Core_Curve25519_Fe $xy2d = null |
|
| 40 | + ) { |
|
| 41 | + if ($yplusx === null) { |
|
| 42 | + $yplusx = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 43 | + } |
|
| 44 | + $this->yplusx = $yplusx; |
|
| 45 | + if ($yminusx === null) { |
|
| 46 | + $yminusx = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 47 | + } |
|
| 48 | + $this->yminusx = $yminusx; |
|
| 49 | + if ($xy2d === null) { |
|
| 50 | + $xy2d = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 51 | + } |
|
| 52 | + $this->xy2d = $xy2d; |
|
| 53 | + } |
|
| 54 | 54 | } |
@@ -1,7 +1,7 @@ discard block |
||
| 1 | 1 | <?php |
| 2 | 2 | |
| 3 | 3 | if (class_exists('ParagonIE_Sodium_Core_Curve25519', false)) { |
| 4 | - return; |
|
| 4 | + return; |
|
| 5 | 5 | } |
| 6 | 6 | |
| 7 | 7 | /** |
@@ -15,3771 +15,3771 @@ discard block |
||
| 15 | 15 | */ |
| 16 | 16 | abstract class ParagonIE_Sodium_Core_Curve25519 extends ParagonIE_Sodium_Core_Curve25519_H |
| 17 | 17 | { |
| 18 | - /** |
|
| 19 | - * Get a field element of size 10 with a value of 0 |
|
| 20 | - * |
|
| 21 | - * @internal You should not use this directly from another application |
|
| 22 | - * |
|
| 23 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | - */ |
|
| 25 | - public static function fe_0() |
|
| 26 | - { |
|
| 27 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 28 | - array(0, 0, 0, 0, 0, 0, 0, 0, 0, 0) |
|
| 29 | - ); |
|
| 30 | - } |
|
| 31 | - |
|
| 32 | - /** |
|
| 33 | - * Get a field element of size 10 with a value of 1 |
|
| 34 | - * |
|
| 35 | - * @internal You should not use this directly from another application |
|
| 36 | - * |
|
| 37 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 38 | - */ |
|
| 39 | - public static function fe_1() |
|
| 40 | - { |
|
| 41 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 42 | - array(1, 0, 0, 0, 0, 0, 0, 0, 0, 0) |
|
| 43 | - ); |
|
| 44 | - } |
|
| 45 | - |
|
| 46 | - /** |
|
| 47 | - * Add two field elements. |
|
| 48 | - * |
|
| 49 | - * @internal You should not use this directly from another application |
|
| 50 | - * |
|
| 51 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 52 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 53 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 54 | - * @psalm-suppress MixedAssignment |
|
| 55 | - * @psalm-suppress MixedOperand |
|
| 56 | - */ |
|
| 57 | - public static function fe_add( |
|
| 58 | - ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 59 | - ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 60 | - ) { |
|
| 61 | - /** @var array<int, int> $arr */ |
|
| 62 | - $arr = array(); |
|
| 63 | - for ($i = 0; $i < 10; ++$i) { |
|
| 64 | - $arr[$i] = (int) ($f[$i] + $g[$i]); |
|
| 65 | - } |
|
| 66 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($arr); |
|
| 67 | - } |
|
| 68 | - |
|
| 69 | - /** |
|
| 70 | - * Constant-time conditional move. |
|
| 71 | - * |
|
| 72 | - * @internal You should not use this directly from another application |
|
| 73 | - * |
|
| 74 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 75 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 76 | - * @param int $b |
|
| 77 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 78 | - * @psalm-suppress MixedAssignment |
|
| 79 | - */ |
|
| 80 | - public static function fe_cmov( |
|
| 81 | - ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 82 | - ParagonIE_Sodium_Core_Curve25519_Fe $g, |
|
| 83 | - $b = 0 |
|
| 84 | - ) { |
|
| 85 | - /** @var array<int, int> $h */ |
|
| 86 | - $h = array(); |
|
| 87 | - $b *= -1; |
|
| 88 | - for ($i = 0; $i < 10; ++$i) { |
|
| 89 | - $x = (($f[$i] ^ $g[$i]) & $b); |
|
| 90 | - $h[$i] = ($f[$i]) ^ $x; |
|
| 91 | - } |
|
| 92 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h); |
|
| 93 | - } |
|
| 94 | - |
|
| 95 | - /** |
|
| 96 | - * Create a copy of a field element. |
|
| 97 | - * |
|
| 98 | - * @internal You should not use this directly from another application |
|
| 99 | - * |
|
| 100 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 101 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 102 | - */ |
|
| 103 | - public static function fe_copy(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 104 | - { |
|
| 105 | - $h = clone $f; |
|
| 106 | - return $h; |
|
| 107 | - } |
|
| 108 | - |
|
| 109 | - /** |
|
| 110 | - * Give: 32-byte string. |
|
| 111 | - * Receive: A field element object to use for internal calculations. |
|
| 112 | - * |
|
| 113 | - * @internal You should not use this directly from another application |
|
| 114 | - * |
|
| 115 | - * @param string $s |
|
| 116 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 117 | - * @throws RangeException |
|
| 118 | - * @throws TypeError |
|
| 119 | - */ |
|
| 120 | - public static function fe_frombytes($s) |
|
| 121 | - { |
|
| 122 | - if (self::strlen($s) !== 32) { |
|
| 123 | - throw new RangeException('Expected a 32-byte string.'); |
|
| 124 | - } |
|
| 125 | - $h0 = self::load_4($s); |
|
| 126 | - $h1 = self::load_3(self::substr($s, 4, 3)) << 6; |
|
| 127 | - $h2 = self::load_3(self::substr($s, 7, 3)) << 5; |
|
| 128 | - $h3 = self::load_3(self::substr($s, 10, 3)) << 3; |
|
| 129 | - $h4 = self::load_3(self::substr($s, 13, 3)) << 2; |
|
| 130 | - $h5 = self::load_4(self::substr($s, 16, 4)); |
|
| 131 | - $h6 = self::load_3(self::substr($s, 20, 3)) << 7; |
|
| 132 | - $h7 = self::load_3(self::substr($s, 23, 3)) << 5; |
|
| 133 | - $h8 = self::load_3(self::substr($s, 26, 3)) << 4; |
|
| 134 | - $h9 = (self::load_3(self::substr($s, 29, 3)) & 8388607) << 2; |
|
| 135 | - |
|
| 136 | - $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 137 | - $h0 += self::mul($carry9, 19, 5); |
|
| 138 | - $h9 -= $carry9 << 25; |
|
| 139 | - $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 140 | - $h2 += $carry1; |
|
| 141 | - $h1 -= $carry1 << 25; |
|
| 142 | - $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 143 | - $h4 += $carry3; |
|
| 144 | - $h3 -= $carry3 << 25; |
|
| 145 | - $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 146 | - $h6 += $carry5; |
|
| 147 | - $h5 -= $carry5 << 25; |
|
| 148 | - $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 149 | - $h8 += $carry7; |
|
| 150 | - $h7 -= $carry7 << 25; |
|
| 151 | - |
|
| 152 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 153 | - $h1 += $carry0; |
|
| 154 | - $h0 -= $carry0 << 26; |
|
| 155 | - $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 156 | - $h3 += $carry2; |
|
| 157 | - $h2 -= $carry2 << 26; |
|
| 158 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 159 | - $h5 += $carry4; |
|
| 160 | - $h4 -= $carry4 << 26; |
|
| 161 | - $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 162 | - $h7 += $carry6; |
|
| 163 | - $h6 -= $carry6 << 26; |
|
| 164 | - $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 165 | - $h9 += $carry8; |
|
| 166 | - $h8 -= $carry8 << 26; |
|
| 167 | - |
|
| 168 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 169 | - array( |
|
| 170 | - (int) $h0, |
|
| 171 | - (int) $h1, |
|
| 172 | - (int) $h2, |
|
| 173 | - (int) $h3, |
|
| 174 | - (int) $h4, |
|
| 175 | - (int) $h5, |
|
| 176 | - (int) $h6, |
|
| 177 | - (int) $h7, |
|
| 178 | - (int) $h8, |
|
| 179 | - (int) $h9 |
|
| 180 | - ) |
|
| 181 | - ); |
|
| 182 | - } |
|
| 183 | - |
|
| 184 | - /** |
|
| 185 | - * Convert a field element to a byte string. |
|
| 186 | - * |
|
| 187 | - * @internal You should not use this directly from another application |
|
| 188 | - * |
|
| 189 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $h |
|
| 190 | - * @return string |
|
| 191 | - */ |
|
| 192 | - public static function fe_tobytes(ParagonIE_Sodium_Core_Curve25519_Fe $h) |
|
| 193 | - { |
|
| 194 | - $h0 = (int) $h[0]; |
|
| 195 | - $h1 = (int) $h[1]; |
|
| 196 | - $h2 = (int) $h[2]; |
|
| 197 | - $h3 = (int) $h[3]; |
|
| 198 | - $h4 = (int) $h[4]; |
|
| 199 | - $h5 = (int) $h[5]; |
|
| 200 | - $h6 = (int) $h[6]; |
|
| 201 | - $h7 = (int) $h[7]; |
|
| 202 | - $h8 = (int) $h[8]; |
|
| 203 | - $h9 = (int) $h[9]; |
|
| 204 | - |
|
| 205 | - $q = (self::mul($h9, 19, 5) + (1 << 24)) >> 25; |
|
| 206 | - $q = ($h0 + $q) >> 26; |
|
| 207 | - $q = ($h1 + $q) >> 25; |
|
| 208 | - $q = ($h2 + $q) >> 26; |
|
| 209 | - $q = ($h3 + $q) >> 25; |
|
| 210 | - $q = ($h4 + $q) >> 26; |
|
| 211 | - $q = ($h5 + $q) >> 25; |
|
| 212 | - $q = ($h6 + $q) >> 26; |
|
| 213 | - $q = ($h7 + $q) >> 25; |
|
| 214 | - $q = ($h8 + $q) >> 26; |
|
| 215 | - $q = ($h9 + $q) >> 25; |
|
| 216 | - |
|
| 217 | - $h0 += self::mul($q, 19, 5); |
|
| 218 | - |
|
| 219 | - $carry0 = $h0 >> 26; |
|
| 220 | - $h1 += $carry0; |
|
| 221 | - $h0 -= $carry0 << 26; |
|
| 222 | - $carry1 = $h1 >> 25; |
|
| 223 | - $h2 += $carry1; |
|
| 224 | - $h1 -= $carry1 << 25; |
|
| 225 | - $carry2 = $h2 >> 26; |
|
| 226 | - $h3 += $carry2; |
|
| 227 | - $h2 -= $carry2 << 26; |
|
| 228 | - $carry3 = $h3 >> 25; |
|
| 229 | - $h4 += $carry3; |
|
| 230 | - $h3 -= $carry3 << 25; |
|
| 231 | - $carry4 = $h4 >> 26; |
|
| 232 | - $h5 += $carry4; |
|
| 233 | - $h4 -= $carry4 << 26; |
|
| 234 | - $carry5 = $h5 >> 25; |
|
| 235 | - $h6 += $carry5; |
|
| 236 | - $h5 -= $carry5 << 25; |
|
| 237 | - $carry6 = $h6 >> 26; |
|
| 238 | - $h7 += $carry6; |
|
| 239 | - $h6 -= $carry6 << 26; |
|
| 240 | - $carry7 = $h7 >> 25; |
|
| 241 | - $h8 += $carry7; |
|
| 242 | - $h7 -= $carry7 << 25; |
|
| 243 | - $carry8 = $h8 >> 26; |
|
| 244 | - $h9 += $carry8; |
|
| 245 | - $h8 -= $carry8 << 26; |
|
| 246 | - $carry9 = $h9 >> 25; |
|
| 247 | - $h9 -= $carry9 << 25; |
|
| 248 | - |
|
| 249 | - /** |
|
| 250 | - * @var array<int, int> |
|
| 251 | - */ |
|
| 252 | - $s = array( |
|
| 253 | - (int) (($h0 >> 0) & 0xff), |
|
| 254 | - (int) (($h0 >> 8) & 0xff), |
|
| 255 | - (int) (($h0 >> 16) & 0xff), |
|
| 256 | - (int) ((($h0 >> 24) | ($h1 << 2)) & 0xff), |
|
| 257 | - (int) (($h1 >> 6) & 0xff), |
|
| 258 | - (int) (($h1 >> 14) & 0xff), |
|
| 259 | - (int) ((($h1 >> 22) | ($h2 << 3)) & 0xff), |
|
| 260 | - (int) (($h2 >> 5) & 0xff), |
|
| 261 | - (int) (($h2 >> 13) & 0xff), |
|
| 262 | - (int) ((($h2 >> 21) | ($h3 << 5)) & 0xff), |
|
| 263 | - (int) (($h3 >> 3) & 0xff), |
|
| 264 | - (int) (($h3 >> 11) & 0xff), |
|
| 265 | - (int) ((($h3 >> 19) | ($h4 << 6)) & 0xff), |
|
| 266 | - (int) (($h4 >> 2) & 0xff), |
|
| 267 | - (int) (($h4 >> 10) & 0xff), |
|
| 268 | - (int) (($h4 >> 18) & 0xff), |
|
| 269 | - (int) (($h5 >> 0) & 0xff), |
|
| 270 | - (int) (($h5 >> 8) & 0xff), |
|
| 271 | - (int) (($h5 >> 16) & 0xff), |
|
| 272 | - (int) ((($h5 >> 24) | ($h6 << 1)) & 0xff), |
|
| 273 | - (int) (($h6 >> 7) & 0xff), |
|
| 274 | - (int) (($h6 >> 15) & 0xff), |
|
| 275 | - (int) ((($h6 >> 23) | ($h7 << 3)) & 0xff), |
|
| 276 | - (int) (($h7 >> 5) & 0xff), |
|
| 277 | - (int) (($h7 >> 13) & 0xff), |
|
| 278 | - (int) ((($h7 >> 21) | ($h8 << 4)) & 0xff), |
|
| 279 | - (int) (($h8 >> 4) & 0xff), |
|
| 280 | - (int) (($h8 >> 12) & 0xff), |
|
| 281 | - (int) ((($h8 >> 20) | ($h9 << 6)) & 0xff), |
|
| 282 | - (int) (($h9 >> 2) & 0xff), |
|
| 283 | - (int) (($h9 >> 10) & 0xff), |
|
| 284 | - (int) (($h9 >> 18) & 0xff) |
|
| 285 | - ); |
|
| 286 | - return self::intArrayToString($s); |
|
| 287 | - } |
|
| 288 | - |
|
| 289 | - /** |
|
| 290 | - * Is a field element negative? (1 = yes, 0 = no. Used in calculations.) |
|
| 291 | - * |
|
| 292 | - * @internal You should not use this directly from another application |
|
| 293 | - * |
|
| 294 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 295 | - * @return int |
|
| 296 | - * @throws SodiumException |
|
| 297 | - * @throws TypeError |
|
| 298 | - */ |
|
| 299 | - public static function fe_isnegative(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 300 | - { |
|
| 301 | - $str = self::fe_tobytes($f); |
|
| 302 | - return (int) (self::chrToInt($str[0]) & 1); |
|
| 303 | - } |
|
| 304 | - |
|
| 305 | - /** |
|
| 306 | - * Returns 0 if this field element results in all NUL bytes. |
|
| 307 | - * |
|
| 308 | - * @internal You should not use this directly from another application |
|
| 309 | - * |
|
| 310 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 311 | - * @return bool |
|
| 312 | - * @throws SodiumException |
|
| 313 | - * @throws TypeError |
|
| 314 | - */ |
|
| 315 | - public static function fe_isnonzero(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 316 | - { |
|
| 317 | - static $zero; |
|
| 318 | - if ($zero === null) { |
|
| 319 | - $zero = str_repeat("\x00", 32); |
|
| 320 | - } |
|
| 321 | - /** @var string $zero */ |
|
| 322 | - /** @var string $str */ |
|
| 323 | - $str = self::fe_tobytes($f); |
|
| 324 | - return !self::verify_32($str, (string) $zero); |
|
| 325 | - } |
|
| 326 | - |
|
| 327 | - /** |
|
| 328 | - * Multiply two field elements |
|
| 329 | - * |
|
| 330 | - * h = f * g |
|
| 331 | - * |
|
| 332 | - * @internal You should not use this directly from another application |
|
| 333 | - * |
|
| 334 | - * @security Is multiplication a source of timing leaks? If so, can we do |
|
| 335 | - * anything to prevent that from happening? |
|
| 336 | - * |
|
| 337 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 338 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 339 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 340 | - */ |
|
| 341 | - public static function fe_mul( |
|
| 342 | - ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 343 | - ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 344 | - ) { |
|
| 345 | - $f0 = $f[0]; |
|
| 346 | - $f1 = $f[1]; |
|
| 347 | - $f2 = $f[2]; |
|
| 348 | - $f3 = $f[3]; |
|
| 349 | - $f4 = $f[4]; |
|
| 350 | - $f5 = $f[5]; |
|
| 351 | - $f6 = $f[6]; |
|
| 352 | - $f7 = $f[7]; |
|
| 353 | - $f8 = $f[8]; |
|
| 354 | - $f9 = $f[9]; |
|
| 355 | - $g0 = $g[0]; |
|
| 356 | - $g1 = $g[1]; |
|
| 357 | - $g2 = $g[2]; |
|
| 358 | - $g3 = $g[3]; |
|
| 359 | - $g4 = $g[4]; |
|
| 360 | - $g5 = $g[5]; |
|
| 361 | - $g6 = $g[6]; |
|
| 362 | - $g7 = $g[7]; |
|
| 363 | - $g8 = $g[8]; |
|
| 364 | - $g9 = $g[9]; |
|
| 365 | - $g1_19 = self::mul($g1, 19, 5); |
|
| 366 | - $g2_19 = self::mul($g2, 19, 5); |
|
| 367 | - $g3_19 = self::mul($g3, 19, 5); |
|
| 368 | - $g4_19 = self::mul($g4, 19, 5); |
|
| 369 | - $g5_19 = self::mul($g5, 19, 5); |
|
| 370 | - $g6_19 = self::mul($g6, 19, 5); |
|
| 371 | - $g7_19 = self::mul($g7, 19, 5); |
|
| 372 | - $g8_19 = self::mul($g8, 19, 5); |
|
| 373 | - $g9_19 = self::mul($g9, 19, 5); |
|
| 374 | - $f1_2 = $f1 << 1; |
|
| 375 | - $f3_2 = $f3 << 1; |
|
| 376 | - $f5_2 = $f5 << 1; |
|
| 377 | - $f7_2 = $f7 << 1; |
|
| 378 | - $f9_2 = $f9 << 1; |
|
| 379 | - $f0g0 = self::mul($f0, $g0, 26); |
|
| 380 | - $f0g1 = self::mul($f0, $g1, 25); |
|
| 381 | - $f0g2 = self::mul($f0, $g2, 26); |
|
| 382 | - $f0g3 = self::mul($f0, $g3, 25); |
|
| 383 | - $f0g4 = self::mul($f0, $g4, 26); |
|
| 384 | - $f0g5 = self::mul($f0, $g5, 25); |
|
| 385 | - $f0g6 = self::mul($f0, $g6, 26); |
|
| 386 | - $f0g7 = self::mul($f0, $g7, 25); |
|
| 387 | - $f0g8 = self::mul($f0, $g8, 26); |
|
| 388 | - $f0g9 = self::mul($f0, $g9, 26); |
|
| 389 | - $f1g0 = self::mul($f1, $g0, 26); |
|
| 390 | - $f1g1_2 = self::mul($f1_2, $g1, 25); |
|
| 391 | - $f1g2 = self::mul($f1, $g2, 26); |
|
| 392 | - $f1g3_2 = self::mul($f1_2, $g3, 25); |
|
| 393 | - $f1g4 = self::mul($f1, $g4, 26); |
|
| 394 | - $f1g5_2 = self::mul($f1_2, $g5, 25); |
|
| 395 | - $f1g6 = self::mul($f1, $g6, 26); |
|
| 396 | - $f1g7_2 = self::mul($f1_2, $g7, 25); |
|
| 397 | - $f1g8 = self::mul($f1, $g8, 26); |
|
| 398 | - $f1g9_38 = self::mul($g9_19, $f1_2, 26); |
|
| 399 | - $f2g0 = self::mul($f2, $g0, 26); |
|
| 400 | - $f2g1 = self::mul($f2, $g1, 25); |
|
| 401 | - $f2g2 = self::mul($f2, $g2, 26); |
|
| 402 | - $f2g3 = self::mul($f2, $g3, 25); |
|
| 403 | - $f2g4 = self::mul($f2, $g4, 26); |
|
| 404 | - $f2g5 = self::mul($f2, $g5, 25); |
|
| 405 | - $f2g6 = self::mul($f2, $g6, 26); |
|
| 406 | - $f2g7 = self::mul($f2, $g7, 25); |
|
| 407 | - $f2g8_19 = self::mul($g8_19, $f2, 26); |
|
| 408 | - $f2g9_19 = self::mul($g9_19, $f2, 26); |
|
| 409 | - $f3g0 = self::mul($f3, $g0, 26); |
|
| 410 | - $f3g1_2 = self::mul($f3_2, $g1, 25); |
|
| 411 | - $f3g2 = self::mul($f3, $g2, 26); |
|
| 412 | - $f3g3_2 = self::mul($f3_2, $g3, 25); |
|
| 413 | - $f3g4 = self::mul($f3, $g4, 26); |
|
| 414 | - $f3g5_2 = self::mul($f3_2, $g5, 25); |
|
| 415 | - $f3g6 = self::mul($f3, $g6, 26); |
|
| 416 | - $f3g7_38 = self::mul($g7_19, $f3_2, 26); |
|
| 417 | - $f3g8_19 = self::mul($g8_19, $f3, 25); |
|
| 418 | - $f3g9_38 = self::mul($g9_19, $f3_2, 26); |
|
| 419 | - $f4g0 = self::mul($f4, $g0, 26); |
|
| 420 | - $f4g1 = self::mul($f4, $g1, 25); |
|
| 421 | - $f4g2 = self::mul($f4, $g2, 26); |
|
| 422 | - $f4g3 = self::mul($f4, $g3, 25); |
|
| 423 | - $f4g4 = self::mul($f4, $g4, 26); |
|
| 424 | - $f4g5 = self::mul($f4, $g5, 25); |
|
| 425 | - $f4g6_19 = self::mul($g6_19, $f4, 26); |
|
| 426 | - $f4g7_19 = self::mul($g7_19, $f4, 26); |
|
| 427 | - $f4g8_19 = self::mul($g8_19, $f4, 26); |
|
| 428 | - $f4g9_19 = self::mul($g9_19, $f4, 26); |
|
| 429 | - $f5g0 = self::mul($f5, $g0, 26); |
|
| 430 | - $f5g1_2 = self::mul($f5_2, $g1, 25); |
|
| 431 | - $f5g2 = self::mul($f5, $g2, 26); |
|
| 432 | - $f5g3_2 = self::mul($f5_2, $g3, 25); |
|
| 433 | - $f5g4 = self::mul($f5, $g4, 26); |
|
| 434 | - $f5g5_38 = self::mul($g5_19, $f5_2, 26); |
|
| 435 | - $f5g6_19 = self::mul($g6_19, $f5, 25); |
|
| 436 | - $f5g7_38 = self::mul($g7_19, $f5_2, 26); |
|
| 437 | - $f5g8_19 = self::mul($g8_19, $f5, 25); |
|
| 438 | - $f5g9_38 = self::mul($g9_19, $f5_2, 26); |
|
| 439 | - $f6g0 = self::mul($f6, $g0, 26); |
|
| 440 | - $f6g1 = self::mul($f6, $g1, 25); |
|
| 441 | - $f6g2 = self::mul($f6, $g2, 26); |
|
| 442 | - $f6g3 = self::mul($f6, $g3, 25); |
|
| 443 | - $f6g4_19 = self::mul($g4_19, $f6, 26); |
|
| 444 | - $f6g5_19 = self::mul($g5_19, $f6, 26); |
|
| 445 | - $f6g6_19 = self::mul($g6_19, $f6, 26); |
|
| 446 | - $f6g7_19 = self::mul($g7_19, $f6, 26); |
|
| 447 | - $f6g8_19 = self::mul($g8_19, $f6, 26); |
|
| 448 | - $f6g9_19 = self::mul($g9_19, $f6, 26); |
|
| 449 | - $f7g0 = self::mul($f7, $g0, 26); |
|
| 450 | - $f7g1_2 = self::mul($f7_2, $g1, 25); |
|
| 451 | - $f7g2 = self::mul($f7, $g2, 26); |
|
| 452 | - $f7g3_38 = self::mul($g3_19, $f7_2, 26); |
|
| 453 | - $f7g4_19 = self::mul($g4_19, $f7, 26); |
|
| 454 | - $f7g5_38 = self::mul($g5_19, $f7_2, 26); |
|
| 455 | - $f7g6_19 = self::mul($g6_19, $f7, 25); |
|
| 456 | - $f7g7_38 = self::mul($g7_19, $f7_2, 26); |
|
| 457 | - $f7g8_19 = self::mul($g8_19, $f7, 25); |
|
| 458 | - $f7g9_38 = self::mul($g9_19,$f7_2, 26); |
|
| 459 | - $f8g0 = self::mul($f8, $g0, 26); |
|
| 460 | - $f8g1 = self::mul($f8, $g1, 25); |
|
| 461 | - $f8g2_19 = self::mul($g2_19, $f8, 26); |
|
| 462 | - $f8g3_19 = self::mul($g3_19, $f8, 26); |
|
| 463 | - $f8g4_19 = self::mul($g4_19, $f8, 26); |
|
| 464 | - $f8g5_19 = self::mul($g5_19, $f8, 26); |
|
| 465 | - $f8g6_19 = self::mul($g6_19, $f8, 26); |
|
| 466 | - $f8g7_19 = self::mul($g7_19, $f8, 26); |
|
| 467 | - $f8g8_19 = self::mul($g8_19, $f8, 26); |
|
| 468 | - $f8g9_19 = self::mul($g9_19, $f8, 26); |
|
| 469 | - $f9g0 = self::mul($f9, $g0, 26); |
|
| 470 | - $f9g1_38 = self::mul($g1_19, $f9_2, 26); |
|
| 471 | - $f9g2_19 = self::mul($g2_19, $f9, 25); |
|
| 472 | - $f9g3_38 = self::mul($g3_19, $f9_2, 26); |
|
| 473 | - $f9g4_19 = self::mul($g4_19, $f9, 25); |
|
| 474 | - $f9g5_38 = self::mul($g5_19, $f9_2, 26); |
|
| 475 | - $f9g6_19 = self::mul($g6_19, $f9, 25); |
|
| 476 | - $f9g7_38 = self::mul($g7_19, $f9_2, 26); |
|
| 477 | - $f9g8_19 = self::mul($g8_19, $f9, 25); |
|
| 478 | - $f9g9_38 = self::mul($g9_19, $f9_2, 26); |
|
| 479 | - $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38; |
|
| 480 | - $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19; |
|
| 481 | - $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38; |
|
| 482 | - $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19; |
|
| 483 | - $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38; |
|
| 484 | - $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19; |
|
| 485 | - $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38; |
|
| 486 | - $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19; |
|
| 487 | - $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38; |
|
| 488 | - $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ; |
|
| 489 | - |
|
| 490 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 491 | - $h1 += $carry0; |
|
| 492 | - $h0 -= $carry0 << 26; |
|
| 493 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 494 | - $h5 += $carry4; |
|
| 495 | - $h4 -= $carry4 << 26; |
|
| 496 | - |
|
| 497 | - $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 498 | - $h2 += $carry1; |
|
| 499 | - $h1 -= $carry1 << 25; |
|
| 500 | - $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 501 | - $h6 += $carry5; |
|
| 502 | - $h5 -= $carry5 << 25; |
|
| 503 | - |
|
| 504 | - $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 505 | - $h3 += $carry2; |
|
| 506 | - $h2 -= $carry2 << 26; |
|
| 507 | - $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 508 | - $h7 += $carry6; |
|
| 509 | - $h6 -= $carry6 << 26; |
|
| 510 | - |
|
| 511 | - $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 512 | - $h4 += $carry3; |
|
| 513 | - $h3 -= $carry3 << 25; |
|
| 514 | - $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 515 | - $h8 += $carry7; |
|
| 516 | - $h7 -= $carry7 << 25; |
|
| 517 | - |
|
| 518 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 519 | - $h5 += $carry4; |
|
| 520 | - $h4 -= $carry4 << 26; |
|
| 521 | - $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 522 | - $h9 += $carry8; |
|
| 523 | - $h8 -= $carry8 << 26; |
|
| 524 | - |
|
| 525 | - $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 526 | - $h0 += self::mul($carry9, 19, 5); |
|
| 527 | - $h9 -= $carry9 << 25; |
|
| 528 | - |
|
| 529 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 530 | - $h1 += $carry0; |
|
| 531 | - $h0 -= $carry0 << 26; |
|
| 532 | - |
|
| 533 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 534 | - array( |
|
| 535 | - (int) $h0, |
|
| 536 | - (int) $h1, |
|
| 537 | - (int) $h2, |
|
| 538 | - (int) $h3, |
|
| 539 | - (int) $h4, |
|
| 540 | - (int) $h5, |
|
| 541 | - (int) $h6, |
|
| 542 | - (int) $h7, |
|
| 543 | - (int) $h8, |
|
| 544 | - (int) $h9 |
|
| 545 | - ) |
|
| 546 | - ); |
|
| 547 | - } |
|
| 548 | - |
|
| 549 | - /** |
|
| 550 | - * Get the negative values for each piece of the field element. |
|
| 551 | - * |
|
| 552 | - * h = -f |
|
| 553 | - * |
|
| 554 | - * @internal You should not use this directly from another application |
|
| 555 | - * |
|
| 556 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 557 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 558 | - * @psalm-suppress MixedAssignment |
|
| 559 | - */ |
|
| 560 | - public static function fe_neg(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 561 | - { |
|
| 562 | - $h = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 563 | - for ($i = 0; $i < 10; ++$i) { |
|
| 564 | - $h[$i] = -$f[$i]; |
|
| 565 | - } |
|
| 566 | - return $h; |
|
| 567 | - } |
|
| 568 | - |
|
| 569 | - /** |
|
| 570 | - * Square a field element |
|
| 571 | - * |
|
| 572 | - * h = f * f |
|
| 573 | - * |
|
| 574 | - * @internal You should not use this directly from another application |
|
| 575 | - * |
|
| 576 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 577 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 578 | - */ |
|
| 579 | - public static function fe_sq(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 580 | - { |
|
| 581 | - $f0 = (int) $f[0]; |
|
| 582 | - $f1 = (int) $f[1]; |
|
| 583 | - $f2 = (int) $f[2]; |
|
| 584 | - $f3 = (int) $f[3]; |
|
| 585 | - $f4 = (int) $f[4]; |
|
| 586 | - $f5 = (int) $f[5]; |
|
| 587 | - $f6 = (int) $f[6]; |
|
| 588 | - $f7 = (int) $f[7]; |
|
| 589 | - $f8 = (int) $f[8]; |
|
| 590 | - $f9 = (int) $f[9]; |
|
| 591 | - |
|
| 592 | - $f0_2 = $f0 << 1; |
|
| 593 | - $f1_2 = $f1 << 1; |
|
| 594 | - $f2_2 = $f2 << 1; |
|
| 595 | - $f3_2 = $f3 << 1; |
|
| 596 | - $f4_2 = $f4 << 1; |
|
| 597 | - $f5_2 = $f5 << 1; |
|
| 598 | - $f6_2 = $f6 << 1; |
|
| 599 | - $f7_2 = $f7 << 1; |
|
| 600 | - $f5_38 = self::mul($f5, 38, 6); |
|
| 601 | - $f6_19 = self::mul($f6, 19, 5); |
|
| 602 | - $f7_38 = self::mul($f7, 38, 6); |
|
| 603 | - $f8_19 = self::mul($f8, 19, 5); |
|
| 604 | - $f9_38 = self::mul($f9, 38, 6); |
|
| 605 | - $f0f0 = self::mul($f0, $f0, 26); |
|
| 606 | - $f0f1_2 = self::mul($f0_2, $f1, 26); |
|
| 607 | - $f0f2_2 = self::mul($f0_2, $f2, 26); |
|
| 608 | - $f0f3_2 = self::mul($f0_2, $f3, 26); |
|
| 609 | - $f0f4_2 = self::mul($f0_2, $f4, 26); |
|
| 610 | - $f0f5_2 = self::mul($f0_2, $f5, 26); |
|
| 611 | - $f0f6_2 = self::mul($f0_2, $f6, 26); |
|
| 612 | - $f0f7_2 = self::mul($f0_2, $f7, 26); |
|
| 613 | - $f0f8_2 = self::mul($f0_2, $f8, 26); |
|
| 614 | - $f0f9_2 = self::mul($f0_2, $f9, 26); |
|
| 615 | - $f1f1_2 = self::mul($f1_2, $f1, 26); |
|
| 616 | - $f1f2_2 = self::mul($f1_2, $f2, 26); |
|
| 617 | - $f1f3_4 = self::mul($f1_2, $f3_2, 26); |
|
| 618 | - $f1f4_2 = self::mul($f1_2, $f4, 26); |
|
| 619 | - $f1f5_4 = self::mul($f1_2, $f5_2, 26); |
|
| 620 | - $f1f6_2 = self::mul($f1_2, $f6, 26); |
|
| 621 | - $f1f7_4 = self::mul($f1_2, $f7_2, 26); |
|
| 622 | - $f1f8_2 = self::mul($f1_2, $f8, 26); |
|
| 623 | - $f1f9_76 = self::mul($f9_38, $f1_2, 27); |
|
| 624 | - $f2f2 = self::mul($f2, $f2, 27); |
|
| 625 | - $f2f3_2 = self::mul($f2_2, $f3, 27); |
|
| 626 | - $f2f4_2 = self::mul($f2_2, $f4, 27); |
|
| 627 | - $f2f5_2 = self::mul($f2_2, $f5, 27); |
|
| 628 | - $f2f6_2 = self::mul($f2_2, $f6, 27); |
|
| 629 | - $f2f7_2 = self::mul($f2_2, $f7, 27); |
|
| 630 | - $f2f8_38 = self::mul($f8_19, $f2_2, 27); |
|
| 631 | - $f2f9_38 = self::mul($f9_38, $f2, 26); |
|
| 632 | - $f3f3_2 = self::mul($f3_2, $f3, 26); |
|
| 633 | - $f3f4_2 = self::mul($f3_2, $f4, 26); |
|
| 634 | - $f3f5_4 = self::mul($f3_2, $f5_2, 26); |
|
| 635 | - $f3f6_2 = self::mul($f3_2, $f6, 26); |
|
| 636 | - $f3f7_76 = self::mul($f7_38, $f3_2, 26); |
|
| 637 | - $f3f8_38 = self::mul($f8_19, $f3_2, 26); |
|
| 638 | - $f3f9_76 = self::mul($f9_38, $f3_2, 26); |
|
| 639 | - $f4f4 = self::mul($f4, $f4, 26); |
|
| 640 | - $f4f5_2 = self::mul($f4_2, $f5, 26); |
|
| 641 | - $f4f6_38 = self::mul($f6_19, $f4_2, 27); |
|
| 642 | - $f4f7_38 = self::mul($f7_38, $f4, 26); |
|
| 643 | - $f4f8_38 = self::mul($f8_19, $f4_2, 27); |
|
| 644 | - $f4f9_38 = self::mul($f9_38, $f4, 26); |
|
| 645 | - $f5f5_38 = self::mul($f5_38, $f5, 26); |
|
| 646 | - $f5f6_38 = self::mul($f6_19, $f5_2, 26); |
|
| 647 | - $f5f7_76 = self::mul($f7_38, $f5_2, 26); |
|
| 648 | - $f5f8_38 = self::mul($f8_19, $f5_2, 26); |
|
| 649 | - $f5f9_76 = self::mul($f9_38, $f5_2, 26); |
|
| 650 | - $f6f6_19 = self::mul($f6_19, $f6, 26); |
|
| 651 | - $f6f7_38 = self::mul($f7_38, $f6, 26); |
|
| 652 | - $f6f8_38 = self::mul($f8_19, $f6_2, 27); |
|
| 653 | - $f6f9_38 = self::mul($f9_38, $f6, 26); |
|
| 654 | - $f7f7_38 = self::mul($f7_38, $f7, 26); |
|
| 655 | - $f7f8_38 = self::mul($f8_19, $f7_2, 26); |
|
| 656 | - $f7f9_76 = self::mul($f9_38, $f7_2, 26); |
|
| 657 | - $f8f8_19 = self::mul($f8_19, $f8, 26); |
|
| 658 | - $f8f9_38 = self::mul($f9_38, $f8, 26); |
|
| 659 | - $f9f9_38 = self::mul($f9_38, $f9, 26); |
|
| 660 | - $h0 = $f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38; |
|
| 661 | - $h1 = $f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38; |
|
| 662 | - $h2 = $f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19; |
|
| 663 | - $h3 = $f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38; |
|
| 664 | - $h4 = $f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38; |
|
| 665 | - $h5 = $f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38; |
|
| 666 | - $h6 = $f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19; |
|
| 667 | - $h7 = $f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38; |
|
| 668 | - $h8 = $f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38; |
|
| 669 | - $h9 = $f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2; |
|
| 670 | - |
|
| 671 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 672 | - $h1 += $carry0; |
|
| 673 | - $h0 -= $carry0 << 26; |
|
| 674 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 675 | - $h5 += $carry4; |
|
| 676 | - $h4 -= $carry4 << 26; |
|
| 677 | - |
|
| 678 | - $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 679 | - $h2 += $carry1; |
|
| 680 | - $h1 -= $carry1 << 25; |
|
| 681 | - $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 682 | - $h6 += $carry5; |
|
| 683 | - $h5 -= $carry5 << 25; |
|
| 684 | - |
|
| 685 | - $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 686 | - $h3 += $carry2; |
|
| 687 | - $h2 -= $carry2 << 26; |
|
| 688 | - $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 689 | - $h7 += $carry6; |
|
| 690 | - $h6 -= $carry6 << 26; |
|
| 691 | - |
|
| 692 | - $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 693 | - $h4 += $carry3; |
|
| 694 | - $h3 -= $carry3 << 25; |
|
| 695 | - $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 696 | - $h8 += $carry7; |
|
| 697 | - $h7 -= $carry7 << 25; |
|
| 698 | - |
|
| 699 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 700 | - $h5 += $carry4; |
|
| 701 | - $h4 -= $carry4 << 26; |
|
| 702 | - $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 703 | - $h9 += $carry8; |
|
| 704 | - $h8 -= $carry8 << 26; |
|
| 705 | - |
|
| 706 | - $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 707 | - $h0 += self::mul($carry9, 19, 5); |
|
| 708 | - $h9 -= $carry9 << 25; |
|
| 709 | - |
|
| 710 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 711 | - $h1 += $carry0; |
|
| 712 | - $h0 -= $carry0 << 26; |
|
| 713 | - |
|
| 714 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 715 | - array( |
|
| 716 | - (int) $h0, |
|
| 717 | - (int) $h1, |
|
| 718 | - (int) $h2, |
|
| 719 | - (int) $h3, |
|
| 720 | - (int) $h4, |
|
| 721 | - (int) $h5, |
|
| 722 | - (int) $h6, |
|
| 723 | - (int) $h7, |
|
| 724 | - (int) $h8, |
|
| 725 | - (int) $h9 |
|
| 726 | - ) |
|
| 727 | - ); |
|
| 728 | - } |
|
| 729 | - |
|
| 730 | - |
|
| 731 | - /** |
|
| 732 | - * Square and double a field element |
|
| 733 | - * |
|
| 734 | - * h = 2 * f * f |
|
| 735 | - * |
|
| 736 | - * @internal You should not use this directly from another application |
|
| 737 | - * |
|
| 738 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 739 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 740 | - */ |
|
| 741 | - public static function fe_sq2(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 742 | - { |
|
| 743 | - $f0 = (int) $f[0]; |
|
| 744 | - $f1 = (int) $f[1]; |
|
| 745 | - $f2 = (int) $f[2]; |
|
| 746 | - $f3 = (int) $f[3]; |
|
| 747 | - $f4 = (int) $f[4]; |
|
| 748 | - $f5 = (int) $f[5]; |
|
| 749 | - $f6 = (int) $f[6]; |
|
| 750 | - $f7 = (int) $f[7]; |
|
| 751 | - $f8 = (int) $f[8]; |
|
| 752 | - $f9 = (int) $f[9]; |
|
| 753 | - |
|
| 754 | - $f0_2 = $f0 << 1; |
|
| 755 | - $f1_2 = $f1 << 1; |
|
| 756 | - $f2_2 = $f2 << 1; |
|
| 757 | - $f3_2 = $f3 << 1; |
|
| 758 | - $f4_2 = $f4 << 1; |
|
| 759 | - $f5_2 = $f5 << 1; |
|
| 760 | - $f6_2 = $f6 << 1; |
|
| 761 | - $f7_2 = $f7 << 1; |
|
| 762 | - $f5_38 = self::mul($f5, 38, 6); /* 1.959375*2^30 */ |
|
| 763 | - $f6_19 = self::mul($f6, 19, 5); /* 1.959375*2^30 */ |
|
| 764 | - $f7_38 = self::mul($f7, 38, 6); /* 1.959375*2^30 */ |
|
| 765 | - $f8_19 = self::mul($f8, 19, 5); /* 1.959375*2^30 */ |
|
| 766 | - $f9_38 = self::mul($f9, 38, 6); /* 1.959375*2^30 */ |
|
| 767 | - $f0f0 = self::mul($f0, $f0, 24); |
|
| 768 | - $f0f1_2 = self::mul($f0_2, $f1, 24); |
|
| 769 | - $f0f2_2 = self::mul($f0_2, $f2, 24); |
|
| 770 | - $f0f3_2 = self::mul($f0_2, $f3, 24); |
|
| 771 | - $f0f4_2 = self::mul($f0_2, $f4, 24); |
|
| 772 | - $f0f5_2 = self::mul($f0_2, $f5, 24); |
|
| 773 | - $f0f6_2 = self::mul($f0_2, $f6, 24); |
|
| 774 | - $f0f7_2 = self::mul($f0_2, $f7, 24); |
|
| 775 | - $f0f8_2 = self::mul($f0_2, $f8, 24); |
|
| 776 | - $f0f9_2 = self::mul($f0_2, $f9, 24); |
|
| 777 | - $f1f1_2 = self::mul($f1_2, $f1, 24); |
|
| 778 | - $f1f2_2 = self::mul($f1_2, $f2, 24); |
|
| 779 | - $f1f3_4 = self::mul($f1_2, $f3_2, 24); |
|
| 780 | - $f1f4_2 = self::mul($f1_2, $f4, 24); |
|
| 781 | - $f1f5_4 = self::mul($f1_2, $f5_2, 24); |
|
| 782 | - $f1f6_2 = self::mul($f1_2, $f6, 24); |
|
| 783 | - $f1f7_4 = self::mul($f1_2, $f7_2, 24); |
|
| 784 | - $f1f8_2 = self::mul($f1_2, $f8, 24); |
|
| 785 | - $f1f9_76 = self::mul($f9_38, $f1_2, 24); |
|
| 786 | - $f2f2 = self::mul($f2, $f2, 24); |
|
| 787 | - $f2f3_2 = self::mul($f2_2, $f3, 24); |
|
| 788 | - $f2f4_2 = self::mul($f2_2, $f4, 24); |
|
| 789 | - $f2f5_2 = self::mul($f2_2, $f5, 24); |
|
| 790 | - $f2f6_2 = self::mul($f2_2, $f6, 24); |
|
| 791 | - $f2f7_2 = self::mul($f2_2, $f7, 24); |
|
| 792 | - $f2f8_38 = self::mul($f8_19, $f2_2, 25); |
|
| 793 | - $f2f9_38 = self::mul($f9_38, $f2, 24); |
|
| 794 | - $f3f3_2 = self::mul($f3_2, $f3, 24); |
|
| 795 | - $f3f4_2 = self::mul($f3_2, $f4, 24); |
|
| 796 | - $f3f5_4 = self::mul($f3_2, $f5_2, 24); |
|
| 797 | - $f3f6_2 = self::mul($f3_2, $f6, 24); |
|
| 798 | - $f3f7_76 = self::mul($f7_38, $f3_2, 24); |
|
| 799 | - $f3f8_38 = self::mul($f8_19, $f3_2, 24); |
|
| 800 | - $f3f9_76 = self::mul($f9_38, $f3_2, 24); |
|
| 801 | - $f4f4 = self::mul($f4, $f4, 24); |
|
| 802 | - $f4f5_2 = self::mul($f4_2, $f5, 24); |
|
| 803 | - $f4f6_38 = self::mul($f6_19, $f4_2, 25); |
|
| 804 | - $f4f7_38 = self::mul($f7_38, $f4, 24); |
|
| 805 | - $f4f8_38 = self::mul($f8_19, $f4_2, 25); |
|
| 806 | - $f4f9_38 = self::mul($f9_38, $f4, 24); |
|
| 807 | - $f5f5_38 = self::mul($f5_38, $f5, 24); |
|
| 808 | - $f5f6_38 = self::mul($f6_19, $f5_2, 24); |
|
| 809 | - $f5f7_76 = self::mul($f7_38, $f5_2, 24); |
|
| 810 | - $f5f8_38 = self::mul($f8_19, $f5_2, 24); |
|
| 811 | - $f5f9_76 = self::mul($f9_38, $f5_2, 24); |
|
| 812 | - $f6f6_19 = self::mul($f6_19, $f6, 24); |
|
| 813 | - $f6f7_38 = self::mul($f7_38, $f6, 24); |
|
| 814 | - $f6f8_38 = self::mul($f8_19, $f6_2, 25); |
|
| 815 | - $f6f9_38 = self::mul($f9_38, $f6, 24); |
|
| 816 | - $f7f7_38 = self::mul($f7_38, $f7, 24); |
|
| 817 | - $f7f8_38 = self::mul($f8_19, $f7_2, 24); |
|
| 818 | - $f7f9_76 = self::mul($f9_38, $f7_2, 24); |
|
| 819 | - $f8f8_19 = self::mul($f8_19, $f8, 24); |
|
| 820 | - $f8f9_38 = self::mul($f9_38, $f8, 24); |
|
| 821 | - $f9f9_38 = self::mul($f9_38, $f9, 24); |
|
| 822 | - |
|
| 823 | - $h0 = (int) ($f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38) << 1; |
|
| 824 | - $h1 = (int) ($f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38) << 1; |
|
| 825 | - $h2 = (int) ($f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19) << 1; |
|
| 826 | - $h3 = (int) ($f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38) << 1; |
|
| 827 | - $h4 = (int) ($f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38) << 1; |
|
| 828 | - $h5 = (int) ($f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38) << 1; |
|
| 829 | - $h6 = (int) ($f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19) << 1; |
|
| 830 | - $h7 = (int) ($f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38) << 1; |
|
| 831 | - $h8 = (int) ($f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38) << 1; |
|
| 832 | - $h9 = (int) ($f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2) << 1; |
|
| 833 | - |
|
| 834 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 835 | - $h1 += $carry0; |
|
| 836 | - $h0 -= $carry0 << 26; |
|
| 837 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 838 | - $h5 += $carry4; |
|
| 839 | - $h4 -= $carry4 << 26; |
|
| 840 | - |
|
| 841 | - $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 842 | - $h2 += $carry1; |
|
| 843 | - $h1 -= $carry1 << 25; |
|
| 844 | - $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 845 | - $h6 += $carry5; |
|
| 846 | - $h5 -= $carry5 << 25; |
|
| 847 | - |
|
| 848 | - $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 849 | - $h3 += $carry2; |
|
| 850 | - $h2 -= $carry2 << 26; |
|
| 851 | - $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 852 | - $h7 += $carry6; |
|
| 853 | - $h6 -= $carry6 << 26; |
|
| 854 | - |
|
| 855 | - $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 856 | - $h4 += $carry3; |
|
| 857 | - $h3 -= $carry3 << 25; |
|
| 858 | - $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 859 | - $h8 += $carry7; |
|
| 860 | - $h7 -= $carry7 << 25; |
|
| 861 | - |
|
| 862 | - $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 863 | - $h5 += $carry4; |
|
| 864 | - $h4 -= $carry4 << 26; |
|
| 865 | - $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 866 | - $h9 += $carry8; |
|
| 867 | - $h8 -= $carry8 << 26; |
|
| 868 | - |
|
| 869 | - $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 870 | - $h0 += self::mul($carry9, 19, 5); |
|
| 871 | - $h9 -= $carry9 << 25; |
|
| 872 | - |
|
| 873 | - $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 874 | - $h1 += $carry0; |
|
| 875 | - $h0 -= $carry0 << 26; |
|
| 876 | - |
|
| 877 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 878 | - array( |
|
| 879 | - (int) $h0, |
|
| 880 | - (int) $h1, |
|
| 881 | - (int) $h2, |
|
| 882 | - (int) $h3, |
|
| 883 | - (int) $h4, |
|
| 884 | - (int) $h5, |
|
| 885 | - (int) $h6, |
|
| 886 | - (int) $h7, |
|
| 887 | - (int) $h8, |
|
| 888 | - (int) $h9 |
|
| 889 | - ) |
|
| 890 | - ); |
|
| 891 | - } |
|
| 892 | - |
|
| 893 | - /** |
|
| 894 | - * @internal You should not use this directly from another application |
|
| 895 | - * |
|
| 896 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $Z |
|
| 897 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 898 | - */ |
|
| 899 | - public static function fe_invert(ParagonIE_Sodium_Core_Curve25519_Fe $Z) |
|
| 900 | - { |
|
| 901 | - $z = clone $Z; |
|
| 902 | - $t0 = self::fe_sq($z); |
|
| 903 | - $t1 = self::fe_sq($t0); |
|
| 904 | - $t1 = self::fe_sq($t1); |
|
| 905 | - $t1 = self::fe_mul($z, $t1); |
|
| 906 | - $t0 = self::fe_mul($t0, $t1); |
|
| 907 | - $t2 = self::fe_sq($t0); |
|
| 908 | - $t1 = self::fe_mul($t1, $t2); |
|
| 909 | - $t2 = self::fe_sq($t1); |
|
| 910 | - for ($i = 1; $i < 5; ++$i) { |
|
| 911 | - $t2 = self::fe_sq($t2); |
|
| 912 | - } |
|
| 913 | - $t1 = self::fe_mul($t2, $t1); |
|
| 914 | - $t2 = self::fe_sq($t1); |
|
| 915 | - for ($i = 1; $i < 10; ++$i) { |
|
| 916 | - $t2 = self::fe_sq($t2); |
|
| 917 | - } |
|
| 918 | - $t2 = self::fe_mul($t2, $t1); |
|
| 919 | - $t3 = self::fe_sq($t2); |
|
| 920 | - for ($i = 1; $i < 20; ++$i) { |
|
| 921 | - $t3 = self::fe_sq($t3); |
|
| 922 | - } |
|
| 923 | - $t2 = self::fe_mul($t3, $t2); |
|
| 924 | - $t2 = self::fe_sq($t2); |
|
| 925 | - for ($i = 1; $i < 10; ++$i) { |
|
| 926 | - $t2 = self::fe_sq($t2); |
|
| 927 | - } |
|
| 928 | - $t1 = self::fe_mul($t2, $t1); |
|
| 929 | - $t2 = self::fe_sq($t1); |
|
| 930 | - for ($i = 1; $i < 50; ++$i) { |
|
| 931 | - $t2 = self::fe_sq($t2); |
|
| 932 | - } |
|
| 933 | - $t2 = self::fe_mul($t2, $t1); |
|
| 934 | - $t3 = self::fe_sq($t2); |
|
| 935 | - for ($i = 1; $i < 100; ++$i) { |
|
| 936 | - $t3 = self::fe_sq($t3); |
|
| 937 | - } |
|
| 938 | - $t2 = self::fe_mul($t3, $t2); |
|
| 939 | - $t2 = self::fe_sq($t2); |
|
| 940 | - for ($i = 1; $i < 50; ++$i) { |
|
| 941 | - $t2 = self::fe_sq($t2); |
|
| 942 | - } |
|
| 943 | - $t1 = self::fe_mul($t2, $t1); |
|
| 944 | - $t1 = self::fe_sq($t1); |
|
| 945 | - for ($i = 1; $i < 5; ++$i) { |
|
| 946 | - $t1 = self::fe_sq($t1); |
|
| 947 | - } |
|
| 948 | - return self::fe_mul($t1, $t0); |
|
| 949 | - } |
|
| 950 | - |
|
| 951 | - /** |
|
| 952 | - * @internal You should not use this directly from another application |
|
| 953 | - * |
|
| 954 | - * @ref https://github.com/jedisct1/libsodium/blob/68564326e1e9dc57ef03746f85734232d20ca6fb/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1054-L1106 |
|
| 955 | - * |
|
| 956 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $z |
|
| 957 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 958 | - */ |
|
| 959 | - public static function fe_pow22523(ParagonIE_Sodium_Core_Curve25519_Fe $z) |
|
| 960 | - { |
|
| 961 | - # fe_sq(t0, z); |
|
| 962 | - # fe_sq(t1, t0); |
|
| 963 | - # fe_sq(t1, t1); |
|
| 964 | - # fe_mul(t1, z, t1); |
|
| 965 | - # fe_mul(t0, t0, t1); |
|
| 966 | - # fe_sq(t0, t0); |
|
| 967 | - # fe_mul(t0, t1, t0); |
|
| 968 | - # fe_sq(t1, t0); |
|
| 969 | - $t0 = self::fe_sq($z); |
|
| 970 | - $t1 = self::fe_sq($t0); |
|
| 971 | - $t1 = self::fe_sq($t1); |
|
| 972 | - $t1 = self::fe_mul($z, $t1); |
|
| 973 | - $t0 = self::fe_mul($t0, $t1); |
|
| 974 | - $t0 = self::fe_sq($t0); |
|
| 975 | - $t0 = self::fe_mul($t1, $t0); |
|
| 976 | - $t1 = self::fe_sq($t0); |
|
| 977 | - |
|
| 978 | - # for (i = 1; i < 5; ++i) { |
|
| 979 | - # fe_sq(t1, t1); |
|
| 980 | - # } |
|
| 981 | - for ($i = 1; $i < 5; ++$i) { |
|
| 982 | - $t1 = self::fe_sq($t1); |
|
| 983 | - } |
|
| 984 | - |
|
| 985 | - # fe_mul(t0, t1, t0); |
|
| 986 | - # fe_sq(t1, t0); |
|
| 987 | - $t0 = self::fe_mul($t1, $t0); |
|
| 988 | - $t1 = self::fe_sq($t0); |
|
| 989 | - |
|
| 990 | - # for (i = 1; i < 10; ++i) { |
|
| 991 | - # fe_sq(t1, t1); |
|
| 992 | - # } |
|
| 993 | - for ($i = 1; $i < 10; ++$i) { |
|
| 994 | - $t1 = self::fe_sq($t1); |
|
| 995 | - } |
|
| 996 | - |
|
| 997 | - # fe_mul(t1, t1, t0); |
|
| 998 | - # fe_sq(t2, t1); |
|
| 999 | - $t1 = self::fe_mul($t1, $t0); |
|
| 1000 | - $t2 = self::fe_sq($t1); |
|
| 1001 | - |
|
| 1002 | - # for (i = 1; i < 20; ++i) { |
|
| 1003 | - # fe_sq(t2, t2); |
|
| 1004 | - # } |
|
| 1005 | - for ($i = 1; $i < 20; ++$i) { |
|
| 1006 | - $t2 = self::fe_sq($t2); |
|
| 1007 | - } |
|
| 1008 | - |
|
| 1009 | - # fe_mul(t1, t2, t1); |
|
| 1010 | - # fe_sq(t1, t1); |
|
| 1011 | - $t1 = self::fe_mul($t2, $t1); |
|
| 1012 | - $t1 = self::fe_sq($t1); |
|
| 1013 | - |
|
| 1014 | - # for (i = 1; i < 10; ++i) { |
|
| 1015 | - # fe_sq(t1, t1); |
|
| 1016 | - # } |
|
| 1017 | - for ($i = 1; $i < 10; ++$i) { |
|
| 1018 | - $t1 = self::fe_sq($t1); |
|
| 1019 | - } |
|
| 1020 | - |
|
| 1021 | - # fe_mul(t0, t1, t0); |
|
| 1022 | - # fe_sq(t1, t0); |
|
| 1023 | - $t0 = self::fe_mul($t1, $t0); |
|
| 1024 | - $t1 = self::fe_sq($t0); |
|
| 1025 | - |
|
| 1026 | - # for (i = 1; i < 50; ++i) { |
|
| 1027 | - # fe_sq(t1, t1); |
|
| 1028 | - # } |
|
| 1029 | - for ($i = 1; $i < 50; ++$i) { |
|
| 1030 | - $t1 = self::fe_sq($t1); |
|
| 1031 | - } |
|
| 1032 | - |
|
| 1033 | - # fe_mul(t1, t1, t0); |
|
| 1034 | - # fe_sq(t2, t1); |
|
| 1035 | - $t1 = self::fe_mul($t1, $t0); |
|
| 1036 | - $t2 = self::fe_sq($t1); |
|
| 1037 | - |
|
| 1038 | - # for (i = 1; i < 100; ++i) { |
|
| 1039 | - # fe_sq(t2, t2); |
|
| 1040 | - # } |
|
| 1041 | - for ($i = 1; $i < 100; ++$i) { |
|
| 1042 | - $t2 = self::fe_sq($t2); |
|
| 1043 | - } |
|
| 1044 | - |
|
| 1045 | - # fe_mul(t1, t2, t1); |
|
| 1046 | - # fe_sq(t1, t1); |
|
| 1047 | - $t1 = self::fe_mul($t2, $t1); |
|
| 1048 | - $t1 = self::fe_sq($t1); |
|
| 1049 | - |
|
| 1050 | - # for (i = 1; i < 50; ++i) { |
|
| 1051 | - # fe_sq(t1, t1); |
|
| 1052 | - # } |
|
| 1053 | - for ($i = 1; $i < 50; ++$i) { |
|
| 1054 | - $t1 = self::fe_sq($t1); |
|
| 1055 | - } |
|
| 1056 | - |
|
| 1057 | - # fe_mul(t0, t1, t0); |
|
| 1058 | - # fe_sq(t0, t0); |
|
| 1059 | - # fe_sq(t0, t0); |
|
| 1060 | - # fe_mul(out, t0, z); |
|
| 1061 | - $t0 = self::fe_mul($t1, $t0); |
|
| 1062 | - $t0 = self::fe_sq($t0); |
|
| 1063 | - $t0 = self::fe_sq($t0); |
|
| 1064 | - return self::fe_mul($t0, $z); |
|
| 1065 | - } |
|
| 1066 | - |
|
| 1067 | - /** |
|
| 1068 | - * Subtract two field elements. |
|
| 1069 | - * |
|
| 1070 | - * h = f - g |
|
| 1071 | - * |
|
| 1072 | - * Preconditions: |
|
| 1073 | - * |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. |
|
| 1074 | - * |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. |
|
| 1075 | - * |
|
| 1076 | - * Postconditions: |
|
| 1077 | - * |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. |
|
| 1078 | - * |
|
| 1079 | - * @internal You should not use this directly from another application |
|
| 1080 | - * |
|
| 1081 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 1082 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 1083 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 1084 | - * @psalm-suppress MixedOperand |
|
| 1085 | - */ |
|
| 1086 | - public static function fe_sub(ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g) |
|
| 1087 | - { |
|
| 1088 | - return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 1089 | - array( |
|
| 1090 | - (int) ($f[0] - $g[0]), |
|
| 1091 | - (int) ($f[1] - $g[1]), |
|
| 1092 | - (int) ($f[2] - $g[2]), |
|
| 1093 | - (int) ($f[3] - $g[3]), |
|
| 1094 | - (int) ($f[4] - $g[4]), |
|
| 1095 | - (int) ($f[5] - $g[5]), |
|
| 1096 | - (int) ($f[6] - $g[6]), |
|
| 1097 | - (int) ($f[7] - $g[7]), |
|
| 1098 | - (int) ($f[8] - $g[8]), |
|
| 1099 | - (int) ($f[9] - $g[9]) |
|
| 1100 | - ) |
|
| 1101 | - ); |
|
| 1102 | - } |
|
| 1103 | - |
|
| 1104 | - /** |
|
| 1105 | - * Add two group elements. |
|
| 1106 | - * |
|
| 1107 | - * r = p + q |
|
| 1108 | - * |
|
| 1109 | - * @internal You should not use this directly from another application |
|
| 1110 | - * |
|
| 1111 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1112 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1113 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1114 | - */ |
|
| 1115 | - public static function ge_add( |
|
| 1116 | - ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1117 | - ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1118 | - ) { |
|
| 1119 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1120 | - $r->X = self::fe_add($p->Y, $p->X); |
|
| 1121 | - $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1122 | - $r->Z = self::fe_mul($r->X, $q->YplusX); |
|
| 1123 | - $r->Y = self::fe_mul($r->Y, $q->YminusX); |
|
| 1124 | - $r->T = self::fe_mul($q->T2d, $p->T); |
|
| 1125 | - $r->X = self::fe_mul($p->Z, $q->Z); |
|
| 1126 | - $t0 = self::fe_add($r->X, $r->X); |
|
| 1127 | - $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1128 | - $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1129 | - $r->Z = self::fe_add($t0, $r->T); |
|
| 1130 | - $r->T = self::fe_sub($t0, $r->T); |
|
| 1131 | - return $r; |
|
| 1132 | - } |
|
| 1133 | - |
|
| 1134 | - /** |
|
| 1135 | - * @internal You should not use this directly from another application |
|
| 1136 | - * |
|
| 1137 | - * @ref https://github.com/jedisct1/libsodium/blob/157c4a80c13b117608aeae12178b2d38825f9f8f/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1185-L1215 |
|
| 1138 | - * @param string $a |
|
| 1139 | - * @return array<int, mixed> |
|
| 1140 | - * @throws SodiumException |
|
| 1141 | - * @throws TypeError |
|
| 1142 | - */ |
|
| 1143 | - public static function slide($a) |
|
| 1144 | - { |
|
| 1145 | - if (self::strlen($a) < 256) { |
|
| 1146 | - if (self::strlen($a) < 16) { |
|
| 1147 | - $a = str_pad($a, 256, '0', STR_PAD_RIGHT); |
|
| 1148 | - } |
|
| 1149 | - } |
|
| 1150 | - /** @var array<int, int> $r */ |
|
| 1151 | - $r = array(); |
|
| 1152 | - |
|
| 1153 | - /** @var int $i */ |
|
| 1154 | - for ($i = 0; $i < 256; ++$i) { |
|
| 1155 | - $r[$i] = (int) ( |
|
| 1156 | - 1 & ( |
|
| 1157 | - self::chrToInt($a[(int) ($i >> 3)]) |
|
| 1158 | - >> |
|
| 1159 | - ($i & 7) |
|
| 1160 | - ) |
|
| 1161 | - ); |
|
| 1162 | - } |
|
| 1163 | - |
|
| 1164 | - for ($i = 0;$i < 256;++$i) { |
|
| 1165 | - if ($r[$i]) { |
|
| 1166 | - for ($b = 1;$b <= 6 && $i + $b < 256;++$b) { |
|
| 1167 | - if ($r[$i + $b]) { |
|
| 1168 | - if ($r[$i] + ($r[$i + $b] << $b) <= 15) { |
|
| 1169 | - $r[$i] += $r[$i + $b] << $b; |
|
| 1170 | - $r[$i + $b] = 0; |
|
| 1171 | - } elseif ($r[$i] - ($r[$i + $b] << $b) >= -15) { |
|
| 1172 | - $r[$i] -= $r[$i + $b] << $b; |
|
| 1173 | - for ($k = $i + $b; $k < 256; ++$k) { |
|
| 1174 | - if (!$r[$k]) { |
|
| 1175 | - $r[$k] = 1; |
|
| 1176 | - break; |
|
| 1177 | - } |
|
| 1178 | - $r[$k] = 0; |
|
| 1179 | - } |
|
| 1180 | - } else { |
|
| 1181 | - break; |
|
| 1182 | - } |
|
| 1183 | - } |
|
| 1184 | - } |
|
| 1185 | - } |
|
| 1186 | - } |
|
| 1187 | - return $r; |
|
| 1188 | - } |
|
| 1189 | - |
|
| 1190 | - /** |
|
| 1191 | - * @internal You should not use this directly from another application |
|
| 1192 | - * |
|
| 1193 | - * @param string $s |
|
| 1194 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1195 | - * @throws SodiumException |
|
| 1196 | - * @throws TypeError |
|
| 1197 | - */ |
|
| 1198 | - public static function ge_frombytes_negate_vartime($s) |
|
| 1199 | - { |
|
| 1200 | - static $d = null; |
|
| 1201 | - if (!$d) { |
|
| 1202 | - $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); |
|
| 1203 | - } |
|
| 1204 | - |
|
| 1205 | - # fe_frombytes(h->Y,s); |
|
| 1206 | - # fe_1(h->Z); |
|
| 1207 | - $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 1208 | - self::fe_0(), |
|
| 1209 | - self::fe_frombytes($s), |
|
| 1210 | - self::fe_1() |
|
| 1211 | - ); |
|
| 1212 | - |
|
| 1213 | - # fe_sq(u,h->Y); |
|
| 1214 | - # fe_mul(v,u,d); |
|
| 1215 | - # fe_sub(u,u,h->Z); /* u = y^2-1 */ |
|
| 1216 | - # fe_add(v,v,h->Z); /* v = dy^2+1 */ |
|
| 1217 | - $u = self::fe_sq($h->Y); |
|
| 1218 | - /** @var ParagonIE_Sodium_Core_Curve25519_Fe $d */ |
|
| 1219 | - $v = self::fe_mul($u, $d); |
|
| 1220 | - $u = self::fe_sub($u, $h->Z); /* u = y^2 - 1 */ |
|
| 1221 | - $v = self::fe_add($v, $h->Z); /* v = dy^2 + 1 */ |
|
| 1222 | - |
|
| 1223 | - # fe_sq(v3,v); |
|
| 1224 | - # fe_mul(v3,v3,v); /* v3 = v^3 */ |
|
| 1225 | - # fe_sq(h->X,v3); |
|
| 1226 | - # fe_mul(h->X,h->X,v); |
|
| 1227 | - # fe_mul(h->X,h->X,u); /* x = uv^7 */ |
|
| 1228 | - $v3 = self::fe_sq($v); |
|
| 1229 | - $v3 = self::fe_mul($v3, $v); /* v3 = v^3 */ |
|
| 1230 | - $h->X = self::fe_sq($v3); |
|
| 1231 | - $h->X = self::fe_mul($h->X, $v); |
|
| 1232 | - $h->X = self::fe_mul($h->X, $u); /* x = uv^7 */ |
|
| 1233 | - |
|
| 1234 | - # fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ |
|
| 1235 | - # fe_mul(h->X,h->X,v3); |
|
| 1236 | - # fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 1237 | - $h->X = self::fe_pow22523($h->X); /* x = (uv^7)^((q-5)/8) */ |
|
| 1238 | - $h->X = self::fe_mul($h->X, $v3); |
|
| 1239 | - $h->X = self::fe_mul($h->X, $u); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 1240 | - |
|
| 1241 | - # fe_sq(vxx,h->X); |
|
| 1242 | - # fe_mul(vxx,vxx,v); |
|
| 1243 | - # fe_sub(check,vxx,u); /* vx^2-u */ |
|
| 1244 | - $vxx = self::fe_sq($h->X); |
|
| 1245 | - $vxx = self::fe_mul($vxx, $v); |
|
| 1246 | - $check = self::fe_sub($vxx, $u); /* vx^2 - u */ |
|
| 1247 | - |
|
| 1248 | - # if (fe_isnonzero(check)) { |
|
| 1249 | - # fe_add(check,vxx,u); /* vx^2+u */ |
|
| 1250 | - # if (fe_isnonzero(check)) { |
|
| 1251 | - # return -1; |
|
| 1252 | - # } |
|
| 1253 | - # fe_mul(h->X,h->X,sqrtm1); |
|
| 1254 | - # } |
|
| 1255 | - if (self::fe_isnonzero($check)) { |
|
| 1256 | - $check = self::fe_add($vxx, $u); /* vx^2 + u */ |
|
| 1257 | - if (self::fe_isnonzero($check)) { |
|
| 1258 | - throw new RangeException('Internal check failed.'); |
|
| 1259 | - } |
|
| 1260 | - $h->X = self::fe_mul( |
|
| 1261 | - $h->X, |
|
| 1262 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1) |
|
| 1263 | - ); |
|
| 1264 | - } |
|
| 1265 | - |
|
| 1266 | - # if (fe_isnegative(h->X) == (s[31] >> 7)) { |
|
| 1267 | - # fe_neg(h->X,h->X); |
|
| 1268 | - # } |
|
| 1269 | - $i = self::chrToInt($s[31]); |
|
| 1270 | - if (self::fe_isnegative($h->X) === ($i >> 7)) { |
|
| 1271 | - $h->X = self::fe_neg($h->X); |
|
| 1272 | - } |
|
| 1273 | - |
|
| 1274 | - # fe_mul(h->T,h->X,h->Y); |
|
| 1275 | - $h->T = self::fe_mul($h->X, $h->Y); |
|
| 1276 | - return $h; |
|
| 1277 | - } |
|
| 1278 | - |
|
| 1279 | - /** |
|
| 1280 | - * @internal You should not use this directly from another application |
|
| 1281 | - * |
|
| 1282 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R |
|
| 1283 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1284 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1285 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1286 | - */ |
|
| 1287 | - public static function ge_madd( |
|
| 1288 | - ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, |
|
| 1289 | - ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1290 | - ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1291 | - ) { |
|
| 1292 | - $r = clone $R; |
|
| 1293 | - $r->X = self::fe_add($p->Y, $p->X); |
|
| 1294 | - $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1295 | - $r->Z = self::fe_mul($r->X, $q->yplusx); |
|
| 1296 | - $r->Y = self::fe_mul($r->Y, $q->yminusx); |
|
| 1297 | - $r->T = self::fe_mul($q->xy2d, $p->T); |
|
| 1298 | - $t0 = self::fe_add(clone $p->Z, clone $p->Z); |
|
| 1299 | - $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1300 | - $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1301 | - $r->Z = self::fe_add($t0, $r->T); |
|
| 1302 | - $r->T = self::fe_sub($t0, $r->T); |
|
| 1303 | - |
|
| 1304 | - return $r; |
|
| 1305 | - } |
|
| 1306 | - |
|
| 1307 | - /** |
|
| 1308 | - * @internal You should not use this directly from another application |
|
| 1309 | - * |
|
| 1310 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R |
|
| 1311 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1312 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1313 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1314 | - */ |
|
| 1315 | - public static function ge_msub( |
|
| 1316 | - ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, |
|
| 1317 | - ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1318 | - ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1319 | - ) { |
|
| 1320 | - $r = clone $R; |
|
| 1321 | - |
|
| 1322 | - $r->X = self::fe_add($p->Y, $p->X); |
|
| 1323 | - $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1324 | - $r->Z = self::fe_mul($r->X, $q->yminusx); |
|
| 1325 | - $r->Y = self::fe_mul($r->Y, $q->yplusx); |
|
| 1326 | - $r->T = self::fe_mul($q->xy2d, $p->T); |
|
| 1327 | - $t0 = self::fe_add($p->Z, $p->Z); |
|
| 1328 | - $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1329 | - $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1330 | - $r->Z = self::fe_sub($t0, $r->T); |
|
| 1331 | - $r->T = self::fe_add($t0, $r->T); |
|
| 1332 | - |
|
| 1333 | - return $r; |
|
| 1334 | - } |
|
| 1335 | - |
|
| 1336 | - /** |
|
| 1337 | - * @internal You should not use this directly from another application |
|
| 1338 | - * |
|
| 1339 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p |
|
| 1340 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1341 | - */ |
|
| 1342 | - public static function ge_p1p1_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) |
|
| 1343 | - { |
|
| 1344 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P2(); |
|
| 1345 | - $r->X = self::fe_mul($p->X, $p->T); |
|
| 1346 | - $r->Y = self::fe_mul($p->Y, $p->Z); |
|
| 1347 | - $r->Z = self::fe_mul($p->Z, $p->T); |
|
| 1348 | - return $r; |
|
| 1349 | - } |
|
| 1350 | - |
|
| 1351 | - /** |
|
| 1352 | - * @internal You should not use this directly from another application |
|
| 1353 | - * |
|
| 1354 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p |
|
| 1355 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1356 | - */ |
|
| 1357 | - public static function ge_p1p1_to_p3(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) |
|
| 1358 | - { |
|
| 1359 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P3(); |
|
| 1360 | - $r->X = self::fe_mul($p->X, $p->T); |
|
| 1361 | - $r->Y = self::fe_mul($p->Y, $p->Z); |
|
| 1362 | - $r->Z = self::fe_mul($p->Z, $p->T); |
|
| 1363 | - $r->T = self::fe_mul($p->X, $p->Y); |
|
| 1364 | - return $r; |
|
| 1365 | - } |
|
| 1366 | - |
|
| 1367 | - /** |
|
| 1368 | - * @internal You should not use this directly from another application |
|
| 1369 | - * |
|
| 1370 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1371 | - */ |
|
| 1372 | - public static function ge_p2_0() |
|
| 1373 | - { |
|
| 1374 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_P2( |
|
| 1375 | - self::fe_0(), |
|
| 1376 | - self::fe_1(), |
|
| 1377 | - self::fe_1() |
|
| 1378 | - ); |
|
| 1379 | - } |
|
| 1380 | - |
|
| 1381 | - /** |
|
| 1382 | - * @internal You should not use this directly from another application |
|
| 1383 | - * |
|
| 1384 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P2 $p |
|
| 1385 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1386 | - */ |
|
| 1387 | - public static function ge_p2_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P2 $p) |
|
| 1388 | - { |
|
| 1389 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1390 | - |
|
| 1391 | - $r->X = self::fe_sq($p->X); |
|
| 1392 | - $r->Z = self::fe_sq($p->Y); |
|
| 1393 | - $r->T = self::fe_sq2($p->Z); |
|
| 1394 | - $r->Y = self::fe_add($p->X, $p->Y); |
|
| 1395 | - $t0 = self::fe_sq($r->Y); |
|
| 1396 | - $r->Y = self::fe_add($r->Z, $r->X); |
|
| 1397 | - $r->Z = self::fe_sub($r->Z, $r->X); |
|
| 1398 | - $r->X = self::fe_sub($t0, $r->Y); |
|
| 1399 | - $r->T = self::fe_sub($r->T, $r->Z); |
|
| 1400 | - |
|
| 1401 | - return $r; |
|
| 1402 | - } |
|
| 1403 | - |
|
| 1404 | - /** |
|
| 1405 | - * @internal You should not use this directly from another application |
|
| 1406 | - * |
|
| 1407 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1408 | - */ |
|
| 1409 | - public static function ge_p3_0() |
|
| 1410 | - { |
|
| 1411 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 1412 | - self::fe_0(), |
|
| 1413 | - self::fe_1(), |
|
| 1414 | - self::fe_1(), |
|
| 1415 | - self::fe_0() |
|
| 1416 | - ); |
|
| 1417 | - } |
|
| 1418 | - |
|
| 1419 | - /** |
|
| 1420 | - * @internal You should not use this directly from another application |
|
| 1421 | - * |
|
| 1422 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1423 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1424 | - */ |
|
| 1425 | - public static function ge_p3_to_cached(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1426 | - { |
|
| 1427 | - static $d2 = null; |
|
| 1428 | - if ($d2 === null) { |
|
| 1429 | - $d2 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d2); |
|
| 1430 | - } |
|
| 1431 | - /** @var ParagonIE_Sodium_Core_Curve25519_Fe $d2 */ |
|
| 1432 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached(); |
|
| 1433 | - $r->YplusX = self::fe_add($p->Y, $p->X); |
|
| 1434 | - $r->YminusX = self::fe_sub($p->Y, $p->X); |
|
| 1435 | - $r->Z = self::fe_copy($p->Z); |
|
| 1436 | - $r->T2d = self::fe_mul($p->T, $d2); |
|
| 1437 | - return $r; |
|
| 1438 | - } |
|
| 1439 | - |
|
| 1440 | - /** |
|
| 1441 | - * @internal You should not use this directly from another application |
|
| 1442 | - * |
|
| 1443 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1444 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1445 | - */ |
|
| 1446 | - public static function ge_p3_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1447 | - { |
|
| 1448 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_P2( |
|
| 1449 | - self::fe_copy($p->X), |
|
| 1450 | - self::fe_copy($p->Y), |
|
| 1451 | - self::fe_copy($p->Z) |
|
| 1452 | - ); |
|
| 1453 | - } |
|
| 1454 | - |
|
| 1455 | - /** |
|
| 1456 | - * @internal You should not use this directly from another application |
|
| 1457 | - * |
|
| 1458 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h |
|
| 1459 | - * @return string |
|
| 1460 | - * @throws SodiumException |
|
| 1461 | - * @throws TypeError |
|
| 1462 | - */ |
|
| 1463 | - public static function ge_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h) |
|
| 1464 | - { |
|
| 1465 | - $recip = self::fe_invert($h->Z); |
|
| 1466 | - $x = self::fe_mul($h->X, $recip); |
|
| 1467 | - $y = self::fe_mul($h->Y, $recip); |
|
| 1468 | - $s = self::fe_tobytes($y); |
|
| 1469 | - $s[31] = self::intToChr( |
|
| 1470 | - self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) |
|
| 1471 | - ); |
|
| 1472 | - return $s; |
|
| 1473 | - } |
|
| 1474 | - |
|
| 1475 | - /** |
|
| 1476 | - * @internal You should not use this directly from another application |
|
| 1477 | - * |
|
| 1478 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1479 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1480 | - */ |
|
| 1481 | - public static function ge_p3_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1482 | - { |
|
| 1483 | - $q = self::ge_p3_to_p2($p); |
|
| 1484 | - return self::ge_p2_dbl($q); |
|
| 1485 | - } |
|
| 1486 | - |
|
| 1487 | - /** |
|
| 1488 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1489 | - */ |
|
| 1490 | - public static function ge_precomp_0() |
|
| 1491 | - { |
|
| 1492 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1493 | - self::fe_1(), |
|
| 1494 | - self::fe_1(), |
|
| 1495 | - self::fe_0() |
|
| 1496 | - ); |
|
| 1497 | - } |
|
| 1498 | - |
|
| 1499 | - /** |
|
| 1500 | - * @internal You should not use this directly from another application |
|
| 1501 | - * |
|
| 1502 | - * @param int $b |
|
| 1503 | - * @param int $c |
|
| 1504 | - * @return int |
|
| 1505 | - */ |
|
| 1506 | - public static function equal($b, $c) |
|
| 1507 | - { |
|
| 1508 | - return (int) ((($b ^ $c) - 1) >> 31) & 1; |
|
| 1509 | - } |
|
| 1510 | - |
|
| 1511 | - /** |
|
| 1512 | - * @internal You should not use this directly from another application |
|
| 1513 | - * |
|
| 1514 | - * @param int|string $char |
|
| 1515 | - * @return int (1 = yes, 0 = no) |
|
| 1516 | - * @throws SodiumException |
|
| 1517 | - * @throws TypeError |
|
| 1518 | - */ |
|
| 1519 | - public static function negative($char) |
|
| 1520 | - { |
|
| 1521 | - if (is_int($char)) { |
|
| 1522 | - return ($char >> 63) & 1; |
|
| 1523 | - } |
|
| 1524 | - $x = self::chrToInt(self::substr($char, 0, 1)); |
|
| 1525 | - return (int) ($x >> 63); |
|
| 1526 | - } |
|
| 1527 | - |
|
| 1528 | - /** |
|
| 1529 | - * Conditional move |
|
| 1530 | - * |
|
| 1531 | - * @internal You should not use this directly from another application |
|
| 1532 | - * |
|
| 1533 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t |
|
| 1534 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u |
|
| 1535 | - * @param int $b |
|
| 1536 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1537 | - */ |
|
| 1538 | - public static function cmov( |
|
| 1539 | - ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t, |
|
| 1540 | - ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u, |
|
| 1541 | - $b |
|
| 1542 | - ) { |
|
| 1543 | - if (!is_int($b)) { |
|
| 1544 | - throw new InvalidArgumentException('Expected an integer.'); |
|
| 1545 | - } |
|
| 1546 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1547 | - self::fe_cmov($t->yplusx, $u->yplusx, $b), |
|
| 1548 | - self::fe_cmov($t->yminusx, $u->yminusx, $b), |
|
| 1549 | - self::fe_cmov($t->xy2d, $u->xy2d, $b) |
|
| 1550 | - ); |
|
| 1551 | - } |
|
| 1552 | - |
|
| 1553 | - /** |
|
| 1554 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t |
|
| 1555 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u |
|
| 1556 | - * @param int $b |
|
| 1557 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1558 | - */ |
|
| 1559 | - public static function ge_cmov_cached( |
|
| 1560 | - ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t, |
|
| 1561 | - ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u, |
|
| 1562 | - $b |
|
| 1563 | - ) { |
|
| 1564 | - $b &= 1; |
|
| 1565 | - $ret = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached(); |
|
| 1566 | - $ret->YplusX = self::fe_cmov($t->YplusX, $u->YplusX, $b); |
|
| 1567 | - $ret->YminusX = self::fe_cmov($t->YminusX, $u->YminusX, $b); |
|
| 1568 | - $ret->Z = self::fe_cmov($t->Z, $u->Z, $b); |
|
| 1569 | - $ret->T2d = self::fe_cmov($t->T2d, $u->T2d, $b); |
|
| 1570 | - return $ret; |
|
| 1571 | - } |
|
| 1572 | - |
|
| 1573 | - /** |
|
| 1574 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $cached |
|
| 1575 | - * @param int $b |
|
| 1576 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1577 | - * @throws SodiumException |
|
| 1578 | - */ |
|
| 1579 | - public static function ge_cmov8_cached(array $cached, $b) |
|
| 1580 | - { |
|
| 1581 | - // const unsigned char bnegative = negative(b); |
|
| 1582 | - // const unsigned char babs = b - (((-bnegative) & b) * ((signed char) 1 << 1)); |
|
| 1583 | - $bnegative = self::negative($b); |
|
| 1584 | - $babs = $b - (((-$bnegative) & $b) << 1); |
|
| 1585 | - |
|
| 1586 | - // ge25519_cached_0(t); |
|
| 1587 | - $t = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1588 | - self::fe_1(), |
|
| 1589 | - self::fe_1(), |
|
| 1590 | - self::fe_1(), |
|
| 1591 | - self::fe_0() |
|
| 1592 | - ); |
|
| 1593 | - |
|
| 1594 | - // ge25519_cmov_cached(t, &cached[0], equal(babs, 1)); |
|
| 1595 | - // ge25519_cmov_cached(t, &cached[1], equal(babs, 2)); |
|
| 1596 | - // ge25519_cmov_cached(t, &cached[2], equal(babs, 3)); |
|
| 1597 | - // ge25519_cmov_cached(t, &cached[3], equal(babs, 4)); |
|
| 1598 | - // ge25519_cmov_cached(t, &cached[4], equal(babs, 5)); |
|
| 1599 | - // ge25519_cmov_cached(t, &cached[5], equal(babs, 6)); |
|
| 1600 | - // ge25519_cmov_cached(t, &cached[6], equal(babs, 7)); |
|
| 1601 | - // ge25519_cmov_cached(t, &cached[7], equal(babs, 8)); |
|
| 1602 | - for ($x = 0; $x < 8; ++$x) { |
|
| 1603 | - $t = self::ge_cmov_cached($t, $cached[$x], self::equal($babs, $x + 1)); |
|
| 1604 | - } |
|
| 1605 | - |
|
| 1606 | - // fe25519_copy(minust.YplusX, t->YminusX); |
|
| 1607 | - // fe25519_copy(minust.YminusX, t->YplusX); |
|
| 1608 | - // fe25519_copy(minust.Z, t->Z); |
|
| 1609 | - // fe25519_neg(minust.T2d, t->T2d); |
|
| 1610 | - $minust = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1611 | - self::fe_copy($t->YminusX), |
|
| 1612 | - self::fe_copy($t->YplusX), |
|
| 1613 | - self::fe_copy($t->Z), |
|
| 1614 | - self::fe_neg($t->T2d) |
|
| 1615 | - ); |
|
| 1616 | - return self::ge_cmov_cached($t, $minust, $bnegative); |
|
| 1617 | - } |
|
| 1618 | - |
|
| 1619 | - /** |
|
| 1620 | - * @internal You should not use this directly from another application |
|
| 1621 | - * |
|
| 1622 | - * @param int $pos |
|
| 1623 | - * @param int $b |
|
| 1624 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1625 | - * @throws SodiumException |
|
| 1626 | - * @throws TypeError |
|
| 1627 | - * @psalm-suppress MixedArgument |
|
| 1628 | - * @psalm-suppress MixedArrayAccess |
|
| 1629 | - * @psalm-suppress MixedArrayOffset |
|
| 1630 | - */ |
|
| 1631 | - public static function ge_select($pos = 0, $b = 0) |
|
| 1632 | - { |
|
| 1633 | - static $base = null; |
|
| 1634 | - if ($base === null) { |
|
| 1635 | - $base = array(); |
|
| 1636 | - /** @var int $i */ |
|
| 1637 | - foreach (self::$base as $i => $bas) { |
|
| 1638 | - for ($j = 0; $j < 8; ++$j) { |
|
| 1639 | - $base[$i][$j] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1640 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][0]), |
|
| 1641 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][1]), |
|
| 1642 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][2]) |
|
| 1643 | - ); |
|
| 1644 | - } |
|
| 1645 | - } |
|
| 1646 | - } |
|
| 1647 | - /** @var array<int, array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp>> $base */ |
|
| 1648 | - if (!is_int($pos)) { |
|
| 1649 | - throw new InvalidArgumentException('Position must be an integer'); |
|
| 1650 | - } |
|
| 1651 | - if ($pos < 0 || $pos > 31) { |
|
| 1652 | - throw new RangeException('Position is out of range [0, 31]'); |
|
| 1653 | - } |
|
| 1654 | - |
|
| 1655 | - $bnegative = self::negative($b); |
|
| 1656 | - $babs = $b - (((-$bnegative) & $b) << 1); |
|
| 1657 | - |
|
| 1658 | - $t = self::ge_precomp_0(); |
|
| 1659 | - for ($i = 0; $i < 8; ++$i) { |
|
| 1660 | - $t = self::cmov( |
|
| 1661 | - $t, |
|
| 1662 | - $base[$pos][$i], |
|
| 1663 | - self::equal($babs, $i + 1) |
|
| 1664 | - ); |
|
| 1665 | - } |
|
| 1666 | - $minusT = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1667 | - self::fe_copy($t->yminusx), |
|
| 1668 | - self::fe_copy($t->yplusx), |
|
| 1669 | - self::fe_neg($t->xy2d) |
|
| 1670 | - ); |
|
| 1671 | - return self::cmov($t, $minusT, $bnegative); |
|
| 1672 | - } |
|
| 1673 | - |
|
| 1674 | - /** |
|
| 1675 | - * Subtract two group elements. |
|
| 1676 | - * |
|
| 1677 | - * r = p - q |
|
| 1678 | - * |
|
| 1679 | - * @internal You should not use this directly from another application |
|
| 1680 | - * |
|
| 1681 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1682 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1683 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1684 | - */ |
|
| 1685 | - public static function ge_sub( |
|
| 1686 | - ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1687 | - ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1688 | - ) { |
|
| 1689 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1690 | - |
|
| 1691 | - $r->X = self::fe_add($p->Y, $p->X); |
|
| 1692 | - $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1693 | - $r->Z = self::fe_mul($r->X, $q->YminusX); |
|
| 1694 | - $r->Y = self::fe_mul($r->Y, $q->YplusX); |
|
| 1695 | - $r->T = self::fe_mul($q->T2d, $p->T); |
|
| 1696 | - $r->X = self::fe_mul($p->Z, $q->Z); |
|
| 1697 | - $t0 = self::fe_add($r->X, $r->X); |
|
| 1698 | - $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1699 | - $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1700 | - $r->Z = self::fe_sub($t0, $r->T); |
|
| 1701 | - $r->T = self::fe_add($t0, $r->T); |
|
| 1702 | - |
|
| 1703 | - return $r; |
|
| 1704 | - } |
|
| 1705 | - |
|
| 1706 | - /** |
|
| 1707 | - * Convert a group element to a byte string. |
|
| 1708 | - * |
|
| 1709 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P2 $h |
|
| 1710 | - * @return string |
|
| 1711 | - * @throws SodiumException |
|
| 1712 | - * @throws TypeError |
|
| 1713 | - */ |
|
| 1714 | - public static function ge_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P2 $h) |
|
| 1715 | - { |
|
| 1716 | - $recip = self::fe_invert($h->Z); |
|
| 1717 | - $x = self::fe_mul($h->X, $recip); |
|
| 1718 | - $y = self::fe_mul($h->Y, $recip); |
|
| 1719 | - $s = self::fe_tobytes($y); |
|
| 1720 | - $s[31] = self::intToChr( |
|
| 1721 | - self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) |
|
| 1722 | - ); |
|
| 1723 | - return $s; |
|
| 1724 | - } |
|
| 1725 | - |
|
| 1726 | - /** |
|
| 1727 | - * @internal You should not use this directly from another application |
|
| 1728 | - * |
|
| 1729 | - * @param string $a |
|
| 1730 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A |
|
| 1731 | - * @param string $b |
|
| 1732 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1733 | - * @throws SodiumException |
|
| 1734 | - * @throws TypeError |
|
| 1735 | - * @psalm-suppress MixedArgument |
|
| 1736 | - * @psalm-suppress MixedArrayAccess |
|
| 1737 | - */ |
|
| 1738 | - public static function ge_double_scalarmult_vartime( |
|
| 1739 | - $a, |
|
| 1740 | - ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A, |
|
| 1741 | - $b |
|
| 1742 | - ) { |
|
| 1743 | - /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $Ai */ |
|
| 1744 | - $Ai = array(); |
|
| 1745 | - |
|
| 1746 | - /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp> $Bi */ |
|
| 1747 | - static $Bi = array(); |
|
| 1748 | - if (!$Bi) { |
|
| 1749 | - for ($i = 0; $i < 8; ++$i) { |
|
| 1750 | - $Bi[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1751 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][0]), |
|
| 1752 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][1]), |
|
| 1753 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][2]) |
|
| 1754 | - ); |
|
| 1755 | - } |
|
| 1756 | - } |
|
| 1757 | - for ($i = 0; $i < 8; ++$i) { |
|
| 1758 | - $Ai[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1759 | - self::fe_0(), |
|
| 1760 | - self::fe_0(), |
|
| 1761 | - self::fe_0(), |
|
| 1762 | - self::fe_0() |
|
| 1763 | - ); |
|
| 1764 | - } |
|
| 1765 | - |
|
| 1766 | - # slide(aslide,a); |
|
| 1767 | - # slide(bslide,b); |
|
| 1768 | - /** @var array<int, int> $aslide */ |
|
| 1769 | - $aslide = self::slide($a); |
|
| 1770 | - /** @var array<int, int> $bslide */ |
|
| 1771 | - $bslide = self::slide($b); |
|
| 1772 | - |
|
| 1773 | - # ge_p3_to_cached(&Ai[0],A); |
|
| 1774 | - # ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); |
|
| 1775 | - $Ai[0] = self::ge_p3_to_cached($A); |
|
| 1776 | - $t = self::ge_p3_dbl($A); |
|
| 1777 | - $A2 = self::ge_p1p1_to_p3($t); |
|
| 1778 | - |
|
| 1779 | - # ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); |
|
| 1780 | - # ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); |
|
| 1781 | - # ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); |
|
| 1782 | - # ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); |
|
| 1783 | - # ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); |
|
| 1784 | - # ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); |
|
| 1785 | - # ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); |
|
| 1786 | - for ($i = 0; $i < 7; ++$i) { |
|
| 1787 | - $t = self::ge_add($A2, $Ai[$i]); |
|
| 1788 | - $u = self::ge_p1p1_to_p3($t); |
|
| 1789 | - $Ai[$i + 1] = self::ge_p3_to_cached($u); |
|
| 1790 | - } |
|
| 1791 | - |
|
| 1792 | - # ge_p2_0(r); |
|
| 1793 | - $r = self::ge_p2_0(); |
|
| 1794 | - |
|
| 1795 | - # for (i = 255;i >= 0;--i) { |
|
| 1796 | - # if (aslide[i] || bslide[i]) break; |
|
| 1797 | - # } |
|
| 1798 | - $i = 255; |
|
| 1799 | - for (; $i >= 0; --$i) { |
|
| 1800 | - if ($aslide[$i] || $bslide[$i]) { |
|
| 1801 | - break; |
|
| 1802 | - } |
|
| 1803 | - } |
|
| 1804 | - |
|
| 1805 | - # for (;i >= 0;--i) { |
|
| 1806 | - for (; $i >= 0; --$i) { |
|
| 1807 | - # ge_p2_dbl(&t,r); |
|
| 1808 | - $t = self::ge_p2_dbl($r); |
|
| 1809 | - |
|
| 1810 | - # if (aslide[i] > 0) { |
|
| 1811 | - if ($aslide[$i] > 0) { |
|
| 1812 | - # ge_p1p1_to_p3(&u,&t); |
|
| 1813 | - # ge_add(&t,&u,&Ai[aslide[i]/2]); |
|
| 1814 | - $u = self::ge_p1p1_to_p3($t); |
|
| 1815 | - $t = self::ge_add( |
|
| 1816 | - $u, |
|
| 1817 | - $Ai[(int) floor($aslide[$i] / 2)] |
|
| 1818 | - ); |
|
| 1819 | - # } else if (aslide[i] < 0) { |
|
| 1820 | - } elseif ($aslide[$i] < 0) { |
|
| 1821 | - # ge_p1p1_to_p3(&u,&t); |
|
| 1822 | - # ge_sub(&t,&u,&Ai[(-aslide[i])/2]); |
|
| 1823 | - $u = self::ge_p1p1_to_p3($t); |
|
| 1824 | - $t = self::ge_sub( |
|
| 1825 | - $u, |
|
| 1826 | - $Ai[(int) floor(-$aslide[$i] / 2)] |
|
| 1827 | - ); |
|
| 1828 | - } |
|
| 1829 | - |
|
| 1830 | - # if (bslide[i] > 0) { |
|
| 1831 | - if ($bslide[$i] > 0) { |
|
| 1832 | - /** @var int $index */ |
|
| 1833 | - $index = (int) floor($bslide[$i] / 2); |
|
| 1834 | - # ge_p1p1_to_p3(&u,&t); |
|
| 1835 | - # ge_madd(&t,&u,&Bi[bslide[i]/2]); |
|
| 1836 | - $u = self::ge_p1p1_to_p3($t); |
|
| 1837 | - $t = self::ge_madd($t, $u, $Bi[$index]); |
|
| 1838 | - # } else if (bslide[i] < 0) { |
|
| 1839 | - } elseif ($bslide[$i] < 0) { |
|
| 1840 | - /** @var int $index */ |
|
| 1841 | - $index = (int) floor(-$bslide[$i] / 2); |
|
| 1842 | - # ge_p1p1_to_p3(&u,&t); |
|
| 1843 | - # ge_msub(&t,&u,&Bi[(-bslide[i])/2]); |
|
| 1844 | - $u = self::ge_p1p1_to_p3($t); |
|
| 1845 | - $t = self::ge_msub($t, $u, $Bi[$index]); |
|
| 1846 | - } |
|
| 1847 | - # ge_p1p1_to_p2(r,&t); |
|
| 1848 | - $r = self::ge_p1p1_to_p2($t); |
|
| 1849 | - } |
|
| 1850 | - return $r; |
|
| 1851 | - } |
|
| 1852 | - |
|
| 1853 | - /** |
|
| 1854 | - * @internal You should not use this directly from another application |
|
| 1855 | - * |
|
| 1856 | - * @param string $a |
|
| 1857 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1858 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1859 | - * @throws SodiumException |
|
| 1860 | - * @throws TypeError |
|
| 1861 | - * @psalm-suppress MixedAssignment |
|
| 1862 | - * @psalm-suppress MixedOperand |
|
| 1863 | - */ |
|
| 1864 | - public static function ge_scalarmult($a, $p) |
|
| 1865 | - { |
|
| 1866 | - $e = array_fill(0, 64, 0); |
|
| 1867 | - |
|
| 1868 | - /** @var ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $pi */ |
|
| 1869 | - $pi = array(); |
|
| 1870 | - |
|
| 1871 | - // ge25519_p3_to_cached(&pi[1 - 1], p); /* p */ |
|
| 1872 | - $pi[0] = self::ge_p3_to_cached($p); |
|
| 1873 | - |
|
| 1874 | - // ge25519_p3_dbl(&t2, p); |
|
| 1875 | - // ge25519_p1p1_to_p3(&p2, &t2); |
|
| 1876 | - // ge25519_p3_to_cached(&pi[2 - 1], &p2); /* 2p = 2*p */ |
|
| 1877 | - $t2 = self::ge_p3_dbl($p); |
|
| 1878 | - $p2 = self::ge_p1p1_to_p3($t2); |
|
| 1879 | - $pi[1] = self::ge_p3_to_cached($p2); |
|
| 1880 | - |
|
| 1881 | - // ge25519_add_cached(&t3, p, &pi[2 - 1]); |
|
| 1882 | - // ge25519_p1p1_to_p3(&p3, &t3); |
|
| 1883 | - // ge25519_p3_to_cached(&pi[3 - 1], &p3); /* 3p = 2p+p */ |
|
| 1884 | - $t3 = self::ge_add($p, $pi[1]); |
|
| 1885 | - $p3 = self::ge_p1p1_to_p3($t3); |
|
| 1886 | - $pi[2] = self::ge_p3_to_cached($p3); |
|
| 1887 | - |
|
| 1888 | - // ge25519_p3_dbl(&t4, &p2); |
|
| 1889 | - // ge25519_p1p1_to_p3(&p4, &t4); |
|
| 1890 | - // ge25519_p3_to_cached(&pi[4 - 1], &p4); /* 4p = 2*2p */ |
|
| 1891 | - $t4 = self::ge_p3_dbl($p2); |
|
| 1892 | - $p4 = self::ge_p1p1_to_p3($t4); |
|
| 1893 | - $pi[3] = self::ge_p3_to_cached($p4); |
|
| 1894 | - |
|
| 1895 | - // ge25519_add_cached(&t5, p, &pi[4 - 1]); |
|
| 1896 | - // ge25519_p1p1_to_p3(&p5, &t5); |
|
| 1897 | - // ge25519_p3_to_cached(&pi[5 - 1], &p5); /* 5p = 4p+p */ |
|
| 1898 | - $t5 = self::ge_add($p, $pi[3]); |
|
| 1899 | - $p5 = self::ge_p1p1_to_p3($t5); |
|
| 1900 | - $pi[4] = self::ge_p3_to_cached($p5); |
|
| 1901 | - |
|
| 1902 | - // ge25519_p3_dbl(&t6, &p3); |
|
| 1903 | - // ge25519_p1p1_to_p3(&p6, &t6); |
|
| 1904 | - // ge25519_p3_to_cached(&pi[6 - 1], &p6); /* 6p = 2*3p */ |
|
| 1905 | - $t6 = self::ge_p3_dbl($p3); |
|
| 1906 | - $p6 = self::ge_p1p1_to_p3($t6); |
|
| 1907 | - $pi[5] = self::ge_p3_to_cached($p6); |
|
| 1908 | - |
|
| 1909 | - // ge25519_add_cached(&t7, p, &pi[6 - 1]); |
|
| 1910 | - // ge25519_p1p1_to_p3(&p7, &t7); |
|
| 1911 | - // ge25519_p3_to_cached(&pi[7 - 1], &p7); /* 7p = 6p+p */ |
|
| 1912 | - $t7 = self::ge_add($p, $pi[5]); |
|
| 1913 | - $p7 = self::ge_p1p1_to_p3($t7); |
|
| 1914 | - $pi[6] = self::ge_p3_to_cached($p7); |
|
| 1915 | - |
|
| 1916 | - // ge25519_p3_dbl(&t8, &p4); |
|
| 1917 | - // ge25519_p1p1_to_p3(&p8, &t8); |
|
| 1918 | - // ge25519_p3_to_cached(&pi[8 - 1], &p8); /* 8p = 2*4p */ |
|
| 1919 | - $t8 = self::ge_p3_dbl($p4); |
|
| 1920 | - $p8 = self::ge_p1p1_to_p3($t8); |
|
| 1921 | - $pi[7] = self::ge_p3_to_cached($p8); |
|
| 1922 | - |
|
| 1923 | - |
|
| 1924 | - // for (i = 0; i < 32; ++i) { |
|
| 1925 | - // e[2 * i + 0] = (a[i] >> 0) & 15; |
|
| 1926 | - // e[2 * i + 1] = (a[i] >> 4) & 15; |
|
| 1927 | - // } |
|
| 1928 | - for ($i = 0; $i < 32; ++$i) { |
|
| 1929 | - $e[($i << 1) ] = self::chrToInt($a[$i]) & 15; |
|
| 1930 | - $e[($i << 1) + 1] = (self::chrToInt($a[$i]) >> 4) & 15; |
|
| 1931 | - } |
|
| 1932 | - // /* each e[i] is between 0 and 15 */ |
|
| 1933 | - // /* e[63] is between 0 and 7 */ |
|
| 1934 | - |
|
| 1935 | - // carry = 0; |
|
| 1936 | - // for (i = 0; i < 63; ++i) { |
|
| 1937 | - // e[i] += carry; |
|
| 1938 | - // carry = e[i] + 8; |
|
| 1939 | - // carry >>= 4; |
|
| 1940 | - // e[i] -= carry * ((signed char) 1 << 4); |
|
| 1941 | - // } |
|
| 1942 | - $carry = 0; |
|
| 1943 | - for ($i = 0; $i < 63; ++$i) { |
|
| 1944 | - $e[$i] += $carry; |
|
| 1945 | - $carry = $e[$i] + 8; |
|
| 1946 | - $carry >>= 4; |
|
| 1947 | - $e[$i] -= $carry << 4; |
|
| 1948 | - } |
|
| 1949 | - // e[63] += carry; |
|
| 1950 | - // /* each e[i] is between -8 and 8 */ |
|
| 1951 | - $e[63] += $carry; |
|
| 1952 | - |
|
| 1953 | - // ge25519_p3_0(h); |
|
| 1954 | - $h = self::ge_p3_0(); |
|
| 1955 | - |
|
| 1956 | - // for (i = 63; i != 0; i--) { |
|
| 1957 | - for ($i = 63; $i != 0; --$i) { |
|
| 1958 | - // ge25519_cmov8_cached(&t, pi, e[i]); |
|
| 1959 | - $t = self::ge_cmov8_cached($pi, $e[$i]); |
|
| 1960 | - // ge25519_add_cached(&r, h, &t); |
|
| 1961 | - $r = self::ge_add($h, $t); |
|
| 1962 | - |
|
| 1963 | - // ge25519_p1p1_to_p2(&s, &r); |
|
| 1964 | - // ge25519_p2_dbl(&r, &s); |
|
| 1965 | - // ge25519_p1p1_to_p2(&s, &r); |
|
| 1966 | - // ge25519_p2_dbl(&r, &s); |
|
| 1967 | - // ge25519_p1p1_to_p2(&s, &r); |
|
| 1968 | - // ge25519_p2_dbl(&r, &s); |
|
| 1969 | - // ge25519_p1p1_to_p2(&s, &r); |
|
| 1970 | - // ge25519_p2_dbl(&r, &s); |
|
| 1971 | - $s = self::ge_p1p1_to_p2($r); |
|
| 1972 | - $r = self::ge_p2_dbl($s); |
|
| 1973 | - $s = self::ge_p1p1_to_p2($r); |
|
| 1974 | - $r = self::ge_p2_dbl($s); |
|
| 1975 | - $s = self::ge_p1p1_to_p2($r); |
|
| 1976 | - $r = self::ge_p2_dbl($s); |
|
| 1977 | - $s = self::ge_p1p1_to_p2($r); |
|
| 1978 | - $r = self::ge_p2_dbl($s); |
|
| 1979 | - |
|
| 1980 | - // ge25519_p1p1_to_p3(h, &r); /* *16 */ |
|
| 1981 | - $h = self::ge_p1p1_to_p3($r); /* *16 */ |
|
| 1982 | - } |
|
| 1983 | - |
|
| 1984 | - // ge25519_cmov8_cached(&t, pi, e[i]); |
|
| 1985 | - // ge25519_add_cached(&r, h, &t); |
|
| 1986 | - // ge25519_p1p1_to_p3(h, &r); |
|
| 1987 | - $t = self::ge_cmov8_cached($pi, $e[0]); |
|
| 1988 | - $r = self::ge_add($h, $t); |
|
| 1989 | - return self::ge_p1p1_to_p3($r); |
|
| 1990 | - } |
|
| 1991 | - |
|
| 1992 | - /** |
|
| 1993 | - * @internal You should not use this directly from another application |
|
| 1994 | - * |
|
| 1995 | - * @param string $a |
|
| 1996 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1997 | - * @throws SodiumException |
|
| 1998 | - * @throws TypeError |
|
| 1999 | - * @psalm-suppress MixedAssignment |
|
| 2000 | - * @psalm-suppress MixedOperand |
|
| 2001 | - */ |
|
| 2002 | - public static function ge_scalarmult_base($a) |
|
| 2003 | - { |
|
| 2004 | - /** @var array<int, int> $e */ |
|
| 2005 | - $e = array(); |
|
| 2006 | - $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 2007 | - |
|
| 2008 | - for ($i = 0; $i < 32; ++$i) { |
|
| 2009 | - $dbl = (int) $i << 1; |
|
| 2010 | - $e[$dbl] = (int) self::chrToInt($a[$i]) & 15; |
|
| 2011 | - $e[$dbl + 1] = (int) (self::chrToInt($a[$i]) >> 4) & 15; |
|
| 2012 | - } |
|
| 2013 | - |
|
| 2014 | - $carry = 0; |
|
| 2015 | - for ($i = 0; $i < 63; ++$i) { |
|
| 2016 | - $e[$i] += $carry; |
|
| 2017 | - $carry = $e[$i] + 8; |
|
| 2018 | - $carry >>= 4; |
|
| 2019 | - $e[$i] -= $carry << 4; |
|
| 2020 | - } |
|
| 2021 | - $e[63] += (int) $carry; |
|
| 2022 | - |
|
| 2023 | - $h = self::ge_p3_0(); |
|
| 2024 | - |
|
| 2025 | - for ($i = 1; $i < 64; $i += 2) { |
|
| 2026 | - $t = self::ge_select((int) floor($i / 2), (int) $e[$i]); |
|
| 2027 | - $r = self::ge_madd($r, $h, $t); |
|
| 2028 | - $h = self::ge_p1p1_to_p3($r); |
|
| 2029 | - } |
|
| 2030 | - |
|
| 2031 | - $r = self::ge_p3_dbl($h); |
|
| 2032 | - |
|
| 2033 | - $s = self::ge_p1p1_to_p2($r); |
|
| 2034 | - $r = self::ge_p2_dbl($s); |
|
| 2035 | - $s = self::ge_p1p1_to_p2($r); |
|
| 2036 | - $r = self::ge_p2_dbl($s); |
|
| 2037 | - $s = self::ge_p1p1_to_p2($r); |
|
| 2038 | - $r = self::ge_p2_dbl($s); |
|
| 2039 | - |
|
| 2040 | - $h = self::ge_p1p1_to_p3($r); |
|
| 2041 | - |
|
| 2042 | - for ($i = 0; $i < 64; $i += 2) { |
|
| 2043 | - $t = self::ge_select($i >> 1, (int) $e[$i]); |
|
| 2044 | - $r = self::ge_madd($r, $h, $t); |
|
| 2045 | - $h = self::ge_p1p1_to_p3($r); |
|
| 2046 | - } |
|
| 2047 | - return $h; |
|
| 2048 | - } |
|
| 2049 | - |
|
| 2050 | - /** |
|
| 2051 | - * Calculates (ab + c) mod l |
|
| 2052 | - * where l = 2^252 + 27742317777372353535851937790883648493 |
|
| 2053 | - * |
|
| 2054 | - * @internal You should not use this directly from another application |
|
| 2055 | - * |
|
| 2056 | - * @param string $a |
|
| 2057 | - * @param string $b |
|
| 2058 | - * @param string $c |
|
| 2059 | - * @return string |
|
| 2060 | - * @throws TypeError |
|
| 2061 | - */ |
|
| 2062 | - public static function sc_muladd($a, $b, $c) |
|
| 2063 | - { |
|
| 2064 | - $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); |
|
| 2065 | - $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); |
|
| 2066 | - $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); |
|
| 2067 | - $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); |
|
| 2068 | - $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); |
|
| 2069 | - $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); |
|
| 2070 | - $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); |
|
| 2071 | - $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); |
|
| 2072 | - $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); |
|
| 2073 | - $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); |
|
| 2074 | - $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); |
|
| 2075 | - $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); |
|
| 2076 | - |
|
| 2077 | - $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); |
|
| 2078 | - $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); |
|
| 2079 | - $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); |
|
| 2080 | - $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); |
|
| 2081 | - $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); |
|
| 2082 | - $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); |
|
| 2083 | - $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); |
|
| 2084 | - $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); |
|
| 2085 | - $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); |
|
| 2086 | - $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); |
|
| 2087 | - $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); |
|
| 2088 | - $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); |
|
| 2089 | - |
|
| 2090 | - $c0 = 2097151 & self::load_3(self::substr($c, 0, 3)); |
|
| 2091 | - $c1 = 2097151 & (self::load_4(self::substr($c, 2, 4)) >> 5); |
|
| 2092 | - $c2 = 2097151 & (self::load_3(self::substr($c, 5, 3)) >> 2); |
|
| 2093 | - $c3 = 2097151 & (self::load_4(self::substr($c, 7, 4)) >> 7); |
|
| 2094 | - $c4 = 2097151 & (self::load_4(self::substr($c, 10, 4)) >> 4); |
|
| 2095 | - $c5 = 2097151 & (self::load_3(self::substr($c, 13, 3)) >> 1); |
|
| 2096 | - $c6 = 2097151 & (self::load_4(self::substr($c, 15, 4)) >> 6); |
|
| 2097 | - $c7 = 2097151 & (self::load_3(self::substr($c, 18, 3)) >> 3); |
|
| 2098 | - $c8 = 2097151 & self::load_3(self::substr($c, 21, 3)); |
|
| 2099 | - $c9 = 2097151 & (self::load_4(self::substr($c, 23, 4)) >> 5); |
|
| 2100 | - $c10 = 2097151 & (self::load_3(self::substr($c, 26, 3)) >> 2); |
|
| 2101 | - $c11 = (self::load_4(self::substr($c, 28, 4)) >> 7); |
|
| 2102 | - |
|
| 2103 | - /* Can't really avoid the pyramid here: */ |
|
| 2104 | - $s0 = $c0 + self::mul($a0, $b0, 24); |
|
| 2105 | - $s1 = $c1 + self::mul($a0, $b1, 24) + self::mul($a1, $b0, 24); |
|
| 2106 | - $s2 = $c2 + self::mul($a0, $b2, 24) + self::mul($a1, $b1, 24) + self::mul($a2, $b0, 24); |
|
| 2107 | - $s3 = $c3 + self::mul($a0, $b3, 24) + self::mul($a1, $b2, 24) + self::mul($a2, $b1, 24) + self::mul($a3, $b0, 24); |
|
| 2108 | - $s4 = $c4 + self::mul($a0, $b4, 24) + self::mul($a1, $b3, 24) + self::mul($a2, $b2, 24) + self::mul($a3, $b1, 24) + |
|
| 2109 | - self::mul($a4, $b0, 24); |
|
| 2110 | - $s5 = $c5 + self::mul($a0, $b5, 24) + self::mul($a1, $b4, 24) + self::mul($a2, $b3, 24) + self::mul($a3, $b2, 24) + |
|
| 2111 | - self::mul($a4, $b1, 24) + self::mul($a5, $b0, 24); |
|
| 2112 | - $s6 = $c6 + self::mul($a0, $b6, 24) + self::mul($a1, $b5, 24) + self::mul($a2, $b4, 24) + self::mul($a3, $b3, 24) + |
|
| 2113 | - self::mul($a4, $b2, 24) + self::mul($a5, $b1, 24) + self::mul($a6, $b0, 24); |
|
| 2114 | - $s7 = $c7 + self::mul($a0, $b7, 24) + self::mul($a1, $b6, 24) + self::mul($a2, $b5, 24) + self::mul($a3, $b4, 24) + |
|
| 2115 | - self::mul($a4, $b3, 24) + self::mul($a5, $b2, 24) + self::mul($a6, $b1, 24) + self::mul($a7, $b0, 24); |
|
| 2116 | - $s8 = $c8 + self::mul($a0, $b8, 24) + self::mul($a1, $b7, 24) + self::mul($a2, $b6, 24) + self::mul($a3, $b5, 24) + |
|
| 2117 | - self::mul($a4, $b4, 24) + self::mul($a5, $b3, 24) + self::mul($a6, $b2, 24) + self::mul($a7, $b1, 24) + |
|
| 2118 | - self::mul($a8, $b0, 24); |
|
| 2119 | - $s9 = $c9 + self::mul($a0, $b9, 24) + self::mul($a1, $b8, 24) + self::mul($a2, $b7, 24) + self::mul($a3, $b6, 24) + |
|
| 2120 | - self::mul($a4, $b5, 24) + self::mul($a5, $b4, 24) + self::mul($a6, $b3, 24) + self::mul($a7, $b2, 24) + |
|
| 2121 | - self::mul($a8, $b1, 24) + self::mul($a9, $b0, 24); |
|
| 2122 | - $s10 = $c10 + self::mul($a0, $b10, 24) + self::mul($a1, $b9, 24) + self::mul($a2, $b8, 24) + self::mul($a3, $b7, 24) + |
|
| 2123 | - self::mul($a4, $b6, 24) + self::mul($a5, $b5, 24) + self::mul($a6, $b4, 24) + self::mul($a7, $b3, 24) + |
|
| 2124 | - self::mul($a8, $b2, 24) + self::mul($a9, $b1, 24) + self::mul($a10, $b0, 24); |
|
| 2125 | - $s11 = $c11 + self::mul($a0, $b11, 24) + self::mul($a1, $b10, 24) + self::mul($a2, $b9, 24) + self::mul($a3, $b8, 24) + |
|
| 2126 | - self::mul($a4, $b7, 24) + self::mul($a5, $b6, 24) + self::mul($a6, $b5, 24) + self::mul($a7, $b4, 24) + |
|
| 2127 | - self::mul($a8, $b3, 24) + self::mul($a9, $b2, 24) + self::mul($a10, $b1, 24) + self::mul($a11, $b0, 24); |
|
| 2128 | - $s12 = self::mul($a1, $b11, 24) + self::mul($a2, $b10, 24) + self::mul($a3, $b9, 24) + self::mul($a4, $b8, 24) + |
|
| 2129 | - self::mul($a5, $b7, 24) + self::mul($a6, $b6, 24) + self::mul($a7, $b5, 24) + self::mul($a8, $b4, 24) + |
|
| 2130 | - self::mul($a9, $b3, 24) + self::mul($a10, $b2, 24) + self::mul($a11, $b1, 24); |
|
| 2131 | - $s13 = self::mul($a2, $b11, 24) + self::mul($a3, $b10, 24) + self::mul($a4, $b9, 24) + self::mul($a5, $b8, 24) + |
|
| 2132 | - self::mul($a6, $b7, 24) + self::mul($a7, $b6, 24) + self::mul($a8, $b5, 24) + self::mul($a9, $b4, 24) + |
|
| 2133 | - self::mul($a10, $b3, 24) + self::mul($a11, $b2, 24); |
|
| 2134 | - $s14 = self::mul($a3, $b11, 24) + self::mul($a4, $b10, 24) + self::mul($a5, $b9, 24) + self::mul($a6, $b8, 24) + |
|
| 2135 | - self::mul($a7, $b7, 24) + self::mul($a8, $b6, 24) + self::mul($a9, $b5, 24) + self::mul($a10, $b4, 24) + |
|
| 2136 | - self::mul($a11, $b3, 24); |
|
| 2137 | - $s15 = self::mul($a4, $b11, 24) + self::mul($a5, $b10, 24) + self::mul($a6, $b9, 24) + self::mul($a7, $b8, 24) + |
|
| 2138 | - self::mul($a8, $b7, 24) + self::mul($a9, $b6, 24) + self::mul($a10, $b5, 24) + self::mul($a11, $b4, 24); |
|
| 2139 | - $s16 = self::mul($a5, $b11, 24) + self::mul($a6, $b10, 24) + self::mul($a7, $b9, 24) + self::mul($a8, $b8, 24) + |
|
| 2140 | - self::mul($a9, $b7, 24) + self::mul($a10, $b6, 24) + self::mul($a11, $b5, 24); |
|
| 2141 | - $s17 = self::mul($a6, $b11, 24) + self::mul($a7, $b10, 24) + self::mul($a8, $b9, 24) + self::mul($a9, $b8, 24) + |
|
| 2142 | - self::mul($a10, $b7, 24) + self::mul($a11, $b6, 24); |
|
| 2143 | - $s18 = self::mul($a7, $b11, 24) + self::mul($a8, $b10, 24) + self::mul($a9, $b9, 24) + self::mul($a10, $b8, 24) + |
|
| 2144 | - self::mul($a11, $b7, 24); |
|
| 2145 | - $s19 = self::mul($a8, $b11, 24) + self::mul($a9, $b10, 24) + self::mul($a10, $b9, 24) + self::mul($a11, $b8, 24); |
|
| 2146 | - $s20 = self::mul($a9, $b11, 24) + self::mul($a10, $b10, 24) + self::mul($a11, $b9, 24); |
|
| 2147 | - $s21 = self::mul($a10, $b11, 24) + self::mul($a11, $b10, 24); |
|
| 2148 | - $s22 = self::mul($a11, $b11, 24); |
|
| 2149 | - $s23 = 0; |
|
| 2150 | - |
|
| 2151 | - $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2152 | - $s1 += $carry0; |
|
| 2153 | - $s0 -= $carry0 << 21; |
|
| 2154 | - $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2155 | - $s3 += $carry2; |
|
| 2156 | - $s2 -= $carry2 << 21; |
|
| 2157 | - $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2158 | - $s5 += $carry4; |
|
| 2159 | - $s4 -= $carry4 << 21; |
|
| 2160 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2161 | - $s7 += $carry6; |
|
| 2162 | - $s6 -= $carry6 << 21; |
|
| 2163 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2164 | - $s9 += $carry8; |
|
| 2165 | - $s8 -= $carry8 << 21; |
|
| 2166 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2167 | - $s11 += $carry10; |
|
| 2168 | - $s10 -= $carry10 << 21; |
|
| 2169 | - $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2170 | - $s13 += $carry12; |
|
| 2171 | - $s12 -= $carry12 << 21; |
|
| 2172 | - $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2173 | - $s15 += $carry14; |
|
| 2174 | - $s14 -= $carry14 << 21; |
|
| 2175 | - $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2176 | - $s17 += $carry16; |
|
| 2177 | - $s16 -= $carry16 << 21; |
|
| 2178 | - $carry18 = ($s18 + (1 << 20)) >> 21; |
|
| 2179 | - $s19 += $carry18; |
|
| 2180 | - $s18 -= $carry18 << 21; |
|
| 2181 | - $carry20 = ($s20 + (1 << 20)) >> 21; |
|
| 2182 | - $s21 += $carry20; |
|
| 2183 | - $s20 -= $carry20 << 21; |
|
| 2184 | - $carry22 = ($s22 + (1 << 20)) >> 21; |
|
| 2185 | - $s23 += $carry22; |
|
| 2186 | - $s22 -= $carry22 << 21; |
|
| 2187 | - |
|
| 2188 | - $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2189 | - $s2 += $carry1; |
|
| 2190 | - $s1 -= $carry1 << 21; |
|
| 2191 | - $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2192 | - $s4 += $carry3; |
|
| 2193 | - $s3 -= $carry3 << 21; |
|
| 2194 | - $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2195 | - $s6 += $carry5; |
|
| 2196 | - $s5 -= $carry5 << 21; |
|
| 2197 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2198 | - $s8 += $carry7; |
|
| 2199 | - $s7 -= $carry7 << 21; |
|
| 2200 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2201 | - $s10 += $carry9; |
|
| 2202 | - $s9 -= $carry9 << 21; |
|
| 2203 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2204 | - $s12 += $carry11; |
|
| 2205 | - $s11 -= $carry11 << 21; |
|
| 2206 | - $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2207 | - $s14 += $carry13; |
|
| 2208 | - $s13 -= $carry13 << 21; |
|
| 2209 | - $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2210 | - $s16 += $carry15; |
|
| 2211 | - $s15 -= $carry15 << 21; |
|
| 2212 | - $carry17 = ($s17 + (1 << 20)) >> 21; |
|
| 2213 | - $s18 += $carry17; |
|
| 2214 | - $s17 -= $carry17 << 21; |
|
| 2215 | - $carry19 = ($s19 + (1 << 20)) >> 21; |
|
| 2216 | - $s20 += $carry19; |
|
| 2217 | - $s19 -= $carry19 << 21; |
|
| 2218 | - $carry21 = ($s21 + (1 << 20)) >> 21; |
|
| 2219 | - $s22 += $carry21; |
|
| 2220 | - $s21 -= $carry21 << 21; |
|
| 2221 | - |
|
| 2222 | - $s11 += self::mul($s23, 666643, 20); |
|
| 2223 | - $s12 += self::mul($s23, 470296, 19); |
|
| 2224 | - $s13 += self::mul($s23, 654183, 20); |
|
| 2225 | - $s14 -= self::mul($s23, 997805, 20); |
|
| 2226 | - $s15 += self::mul($s23, 136657, 18); |
|
| 2227 | - $s16 -= self::mul($s23, 683901, 20); |
|
| 2228 | - |
|
| 2229 | - $s10 += self::mul($s22, 666643, 20); |
|
| 2230 | - $s11 += self::mul($s22, 470296, 19); |
|
| 2231 | - $s12 += self::mul($s22, 654183, 20); |
|
| 2232 | - $s13 -= self::mul($s22, 997805, 20); |
|
| 2233 | - $s14 += self::mul($s22, 136657, 18); |
|
| 2234 | - $s15 -= self::mul($s22, 683901, 20); |
|
| 2235 | - |
|
| 2236 | - $s9 += self::mul($s21, 666643, 20); |
|
| 2237 | - $s10 += self::mul($s21, 470296, 19); |
|
| 2238 | - $s11 += self::mul($s21, 654183, 20); |
|
| 2239 | - $s12 -= self::mul($s21, 997805, 20); |
|
| 2240 | - $s13 += self::mul($s21, 136657, 18); |
|
| 2241 | - $s14 -= self::mul($s21, 683901, 20); |
|
| 2242 | - |
|
| 2243 | - $s8 += self::mul($s20, 666643, 20); |
|
| 2244 | - $s9 += self::mul($s20, 470296, 19); |
|
| 2245 | - $s10 += self::mul($s20, 654183, 20); |
|
| 2246 | - $s11 -= self::mul($s20, 997805, 20); |
|
| 2247 | - $s12 += self::mul($s20, 136657, 18); |
|
| 2248 | - $s13 -= self::mul($s20, 683901, 20); |
|
| 2249 | - |
|
| 2250 | - $s7 += self::mul($s19, 666643, 20); |
|
| 2251 | - $s8 += self::mul($s19, 470296, 19); |
|
| 2252 | - $s9 += self::mul($s19, 654183, 20); |
|
| 2253 | - $s10 -= self::mul($s19, 997805, 20); |
|
| 2254 | - $s11 += self::mul($s19, 136657, 18); |
|
| 2255 | - $s12 -= self::mul($s19, 683901, 20); |
|
| 2256 | - |
|
| 2257 | - $s6 += self::mul($s18, 666643, 20); |
|
| 2258 | - $s7 += self::mul($s18, 470296, 19); |
|
| 2259 | - $s8 += self::mul($s18, 654183, 20); |
|
| 2260 | - $s9 -= self::mul($s18, 997805, 20); |
|
| 2261 | - $s10 += self::mul($s18, 136657, 18); |
|
| 2262 | - $s11 -= self::mul($s18, 683901, 20); |
|
| 2263 | - |
|
| 2264 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2265 | - $s7 += $carry6; |
|
| 2266 | - $s6 -= $carry6 << 21; |
|
| 2267 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2268 | - $s9 += $carry8; |
|
| 2269 | - $s8 -= $carry8 << 21; |
|
| 2270 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2271 | - $s11 += $carry10; |
|
| 2272 | - $s10 -= $carry10 << 21; |
|
| 2273 | - $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2274 | - $s13 += $carry12; |
|
| 2275 | - $s12 -= $carry12 << 21; |
|
| 2276 | - $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2277 | - $s15 += $carry14; |
|
| 2278 | - $s14 -= $carry14 << 21; |
|
| 2279 | - $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2280 | - $s17 += $carry16; |
|
| 2281 | - $s16 -= $carry16 << 21; |
|
| 2282 | - |
|
| 2283 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2284 | - $s8 += $carry7; |
|
| 2285 | - $s7 -= $carry7 << 21; |
|
| 2286 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2287 | - $s10 += $carry9; |
|
| 2288 | - $s9 -= $carry9 << 21; |
|
| 2289 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2290 | - $s12 += $carry11; |
|
| 2291 | - $s11 -= $carry11 << 21; |
|
| 2292 | - $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2293 | - $s14 += $carry13; |
|
| 2294 | - $s13 -= $carry13 << 21; |
|
| 2295 | - $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2296 | - $s16 += $carry15; |
|
| 2297 | - $s15 -= $carry15 << 21; |
|
| 2298 | - |
|
| 2299 | - $s5 += self::mul($s17, 666643, 20); |
|
| 2300 | - $s6 += self::mul($s17, 470296, 19); |
|
| 2301 | - $s7 += self::mul($s17, 654183, 20); |
|
| 2302 | - $s8 -= self::mul($s17, 997805, 20); |
|
| 2303 | - $s9 += self::mul($s17, 136657, 18); |
|
| 2304 | - $s10 -= self::mul($s17, 683901, 20); |
|
| 2305 | - |
|
| 2306 | - $s4 += self::mul($s16, 666643, 20); |
|
| 2307 | - $s5 += self::mul($s16, 470296, 19); |
|
| 2308 | - $s6 += self::mul($s16, 654183, 20); |
|
| 2309 | - $s7 -= self::mul($s16, 997805, 20); |
|
| 2310 | - $s8 += self::mul($s16, 136657, 18); |
|
| 2311 | - $s9 -= self::mul($s16, 683901, 20); |
|
| 2312 | - |
|
| 2313 | - $s3 += self::mul($s15, 666643, 20); |
|
| 2314 | - $s4 += self::mul($s15, 470296, 19); |
|
| 2315 | - $s5 += self::mul($s15, 654183, 20); |
|
| 2316 | - $s6 -= self::mul($s15, 997805, 20); |
|
| 2317 | - $s7 += self::mul($s15, 136657, 18); |
|
| 2318 | - $s8 -= self::mul($s15, 683901, 20); |
|
| 2319 | - |
|
| 2320 | - $s2 += self::mul($s14, 666643, 20); |
|
| 2321 | - $s3 += self::mul($s14, 470296, 19); |
|
| 2322 | - $s4 += self::mul($s14, 654183, 20); |
|
| 2323 | - $s5 -= self::mul($s14, 997805, 20); |
|
| 2324 | - $s6 += self::mul($s14, 136657, 18); |
|
| 2325 | - $s7 -= self::mul($s14, 683901, 20); |
|
| 2326 | - |
|
| 2327 | - $s1 += self::mul($s13, 666643, 20); |
|
| 2328 | - $s2 += self::mul($s13, 470296, 19); |
|
| 2329 | - $s3 += self::mul($s13, 654183, 20); |
|
| 2330 | - $s4 -= self::mul($s13, 997805, 20); |
|
| 2331 | - $s5 += self::mul($s13, 136657, 18); |
|
| 2332 | - $s6 -= self::mul($s13, 683901, 20); |
|
| 2333 | - |
|
| 2334 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2335 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2336 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2337 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2338 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2339 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2340 | - $s12 = 0; |
|
| 2341 | - |
|
| 2342 | - $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2343 | - $s1 += $carry0; |
|
| 2344 | - $s0 -= $carry0 << 21; |
|
| 2345 | - $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2346 | - $s3 += $carry2; |
|
| 2347 | - $s2 -= $carry2 << 21; |
|
| 2348 | - $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2349 | - $s5 += $carry4; |
|
| 2350 | - $s4 -= $carry4 << 21; |
|
| 2351 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2352 | - $s7 += $carry6; |
|
| 2353 | - $s6 -= $carry6 << 21; |
|
| 2354 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2355 | - $s9 += $carry8; |
|
| 2356 | - $s8 -= $carry8 << 21; |
|
| 2357 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2358 | - $s11 += $carry10; |
|
| 2359 | - $s10 -= $carry10 << 21; |
|
| 2360 | - |
|
| 2361 | - $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2362 | - $s2 += $carry1; |
|
| 2363 | - $s1 -= $carry1 << 21; |
|
| 2364 | - $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2365 | - $s4 += $carry3; |
|
| 2366 | - $s3 -= $carry3 << 21; |
|
| 2367 | - $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2368 | - $s6 += $carry5; |
|
| 2369 | - $s5 -= $carry5 << 21; |
|
| 2370 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2371 | - $s8 += $carry7; |
|
| 2372 | - $s7 -= $carry7 << 21; |
|
| 2373 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2374 | - $s10 += $carry9; |
|
| 2375 | - $s9 -= $carry9 << 21; |
|
| 2376 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2377 | - $s12 += $carry11; |
|
| 2378 | - $s11 -= $carry11 << 21; |
|
| 2379 | - |
|
| 2380 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2381 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2382 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2383 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2384 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2385 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2386 | - $s12 = 0; |
|
| 2387 | - |
|
| 2388 | - $carry0 = $s0 >> 21; |
|
| 2389 | - $s1 += $carry0; |
|
| 2390 | - $s0 -= $carry0 << 21; |
|
| 2391 | - $carry1 = $s1 >> 21; |
|
| 2392 | - $s2 += $carry1; |
|
| 2393 | - $s1 -= $carry1 << 21; |
|
| 2394 | - $carry2 = $s2 >> 21; |
|
| 2395 | - $s3 += $carry2; |
|
| 2396 | - $s2 -= $carry2 << 21; |
|
| 2397 | - $carry3 = $s3 >> 21; |
|
| 2398 | - $s4 += $carry3; |
|
| 2399 | - $s3 -= $carry3 << 21; |
|
| 2400 | - $carry4 = $s4 >> 21; |
|
| 2401 | - $s5 += $carry4; |
|
| 2402 | - $s4 -= $carry4 << 21; |
|
| 2403 | - $carry5 = $s5 >> 21; |
|
| 2404 | - $s6 += $carry5; |
|
| 2405 | - $s5 -= $carry5 << 21; |
|
| 2406 | - $carry6 = $s6 >> 21; |
|
| 2407 | - $s7 += $carry6; |
|
| 2408 | - $s6 -= $carry6 << 21; |
|
| 2409 | - $carry7 = $s7 >> 21; |
|
| 2410 | - $s8 += $carry7; |
|
| 2411 | - $s7 -= $carry7 << 21; |
|
| 2412 | - $carry8 = $s8 >> 21; |
|
| 2413 | - $s9 += $carry8; |
|
| 2414 | - $s8 -= $carry8 << 21; |
|
| 2415 | - $carry9 = $s9 >> 21; |
|
| 2416 | - $s10 += $carry9; |
|
| 2417 | - $s9 -= $carry9 << 21; |
|
| 2418 | - $carry10 = $s10 >> 21; |
|
| 2419 | - $s11 += $carry10; |
|
| 2420 | - $s10 -= $carry10 << 21; |
|
| 2421 | - $carry11 = $s11 >> 21; |
|
| 2422 | - $s12 += $carry11; |
|
| 2423 | - $s11 -= $carry11 << 21; |
|
| 2424 | - |
|
| 2425 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2426 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2427 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2428 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2429 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2430 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2431 | - |
|
| 2432 | - $carry0 = $s0 >> 21; |
|
| 2433 | - $s1 += $carry0; |
|
| 2434 | - $s0 -= $carry0 << 21; |
|
| 2435 | - $carry1 = $s1 >> 21; |
|
| 2436 | - $s2 += $carry1; |
|
| 2437 | - $s1 -= $carry1 << 21; |
|
| 2438 | - $carry2 = $s2 >> 21; |
|
| 2439 | - $s3 += $carry2; |
|
| 2440 | - $s2 -= $carry2 << 21; |
|
| 2441 | - $carry3 = $s3 >> 21; |
|
| 2442 | - $s4 += $carry3; |
|
| 2443 | - $s3 -= $carry3 << 21; |
|
| 2444 | - $carry4 = $s4 >> 21; |
|
| 2445 | - $s5 += $carry4; |
|
| 2446 | - $s4 -= $carry4 << 21; |
|
| 2447 | - $carry5 = $s5 >> 21; |
|
| 2448 | - $s6 += $carry5; |
|
| 2449 | - $s5 -= $carry5 << 21; |
|
| 2450 | - $carry6 = $s6 >> 21; |
|
| 2451 | - $s7 += $carry6; |
|
| 2452 | - $s6 -= $carry6 << 21; |
|
| 2453 | - $carry7 = $s7 >> 21; |
|
| 2454 | - $s8 += $carry7; |
|
| 2455 | - $s7 -= $carry7 << 21; |
|
| 2456 | - $carry8 = $s8 >> 21; |
|
| 2457 | - $s9 += $carry8; |
|
| 2458 | - $s8 -= $carry8 << 21; |
|
| 2459 | - $carry9 = $s9 >> 21; |
|
| 2460 | - $s10 += $carry9; |
|
| 2461 | - $s9 -= $carry9 << 21; |
|
| 2462 | - $carry10 = $s10 >> 21; |
|
| 2463 | - $s11 += $carry10; |
|
| 2464 | - $s10 -= $carry10 << 21; |
|
| 2465 | - |
|
| 2466 | - /** |
|
| 2467 | - * @var array<int, int> |
|
| 2468 | - */ |
|
| 2469 | - $arr = array( |
|
| 2470 | - (int) (0xff & ($s0 >> 0)), |
|
| 2471 | - (int) (0xff & ($s0 >> 8)), |
|
| 2472 | - (int) (0xff & (($s0 >> 16) | $s1 << 5)), |
|
| 2473 | - (int) (0xff & ($s1 >> 3)), |
|
| 2474 | - (int) (0xff & ($s1 >> 11)), |
|
| 2475 | - (int) (0xff & (($s1 >> 19) | $s2 << 2)), |
|
| 2476 | - (int) (0xff & ($s2 >> 6)), |
|
| 2477 | - (int) (0xff & (($s2 >> 14) | $s3 << 7)), |
|
| 2478 | - (int) (0xff & ($s3 >> 1)), |
|
| 2479 | - (int) (0xff & ($s3 >> 9)), |
|
| 2480 | - (int) (0xff & (($s3 >> 17) | $s4 << 4)), |
|
| 2481 | - (int) (0xff & ($s4 >> 4)), |
|
| 2482 | - (int) (0xff & ($s4 >> 12)), |
|
| 2483 | - (int) (0xff & (($s4 >> 20) | $s5 << 1)), |
|
| 2484 | - (int) (0xff & ($s5 >> 7)), |
|
| 2485 | - (int) (0xff & (($s5 >> 15) | $s6 << 6)), |
|
| 2486 | - (int) (0xff & ($s6 >> 2)), |
|
| 2487 | - (int) (0xff & ($s6 >> 10)), |
|
| 2488 | - (int) (0xff & (($s6 >> 18) | $s7 << 3)), |
|
| 2489 | - (int) (0xff & ($s7 >> 5)), |
|
| 2490 | - (int) (0xff & ($s7 >> 13)), |
|
| 2491 | - (int) (0xff & ($s8 >> 0)), |
|
| 2492 | - (int) (0xff & ($s8 >> 8)), |
|
| 2493 | - (int) (0xff & (($s8 >> 16) | $s9 << 5)), |
|
| 2494 | - (int) (0xff & ($s9 >> 3)), |
|
| 2495 | - (int) (0xff & ($s9 >> 11)), |
|
| 2496 | - (int) (0xff & (($s9 >> 19) | $s10 << 2)), |
|
| 2497 | - (int) (0xff & ($s10 >> 6)), |
|
| 2498 | - (int) (0xff & (($s10 >> 14) | $s11 << 7)), |
|
| 2499 | - (int) (0xff & ($s11 >> 1)), |
|
| 2500 | - (int) (0xff & ($s11 >> 9)), |
|
| 2501 | - 0xff & ($s11 >> 17) |
|
| 2502 | - ); |
|
| 2503 | - return self::intArrayToString($arr); |
|
| 2504 | - } |
|
| 2505 | - |
|
| 2506 | - /** |
|
| 2507 | - * @internal You should not use this directly from another application |
|
| 2508 | - * |
|
| 2509 | - * @param string $s |
|
| 2510 | - * @return string |
|
| 2511 | - * @throws TypeError |
|
| 2512 | - */ |
|
| 2513 | - public static function sc_reduce($s) |
|
| 2514 | - { |
|
| 2515 | - $s0 = 2097151 & self::load_3(self::substr($s, 0, 3)); |
|
| 2516 | - $s1 = 2097151 & (self::load_4(self::substr($s, 2, 4)) >> 5); |
|
| 2517 | - $s2 = 2097151 & (self::load_3(self::substr($s, 5, 3)) >> 2); |
|
| 2518 | - $s3 = 2097151 & (self::load_4(self::substr($s, 7, 4)) >> 7); |
|
| 2519 | - $s4 = 2097151 & (self::load_4(self::substr($s, 10, 4)) >> 4); |
|
| 2520 | - $s5 = 2097151 & (self::load_3(self::substr($s, 13, 3)) >> 1); |
|
| 2521 | - $s6 = 2097151 & (self::load_4(self::substr($s, 15, 4)) >> 6); |
|
| 2522 | - $s7 = 2097151 & (self::load_3(self::substr($s, 18, 4)) >> 3); |
|
| 2523 | - $s8 = 2097151 & self::load_3(self::substr($s, 21, 3)); |
|
| 2524 | - $s9 = 2097151 & (self::load_4(self::substr($s, 23, 4)) >> 5); |
|
| 2525 | - $s10 = 2097151 & (self::load_3(self::substr($s, 26, 3)) >> 2); |
|
| 2526 | - $s11 = 2097151 & (self::load_4(self::substr($s, 28, 4)) >> 7); |
|
| 2527 | - $s12 = 2097151 & (self::load_4(self::substr($s, 31, 4)) >> 4); |
|
| 2528 | - $s13 = 2097151 & (self::load_3(self::substr($s, 34, 3)) >> 1); |
|
| 2529 | - $s14 = 2097151 & (self::load_4(self::substr($s, 36, 4)) >> 6); |
|
| 2530 | - $s15 = 2097151 & (self::load_3(self::substr($s, 39, 4)) >> 3); |
|
| 2531 | - $s16 = 2097151 & self::load_3(self::substr($s, 42, 3)); |
|
| 2532 | - $s17 = 2097151 & (self::load_4(self::substr($s, 44, 4)) >> 5); |
|
| 2533 | - $s18 = 2097151 & (self::load_3(self::substr($s, 47, 3)) >> 2); |
|
| 2534 | - $s19 = 2097151 & (self::load_4(self::substr($s, 49, 4)) >> 7); |
|
| 2535 | - $s20 = 2097151 & (self::load_4(self::substr($s, 52, 4)) >> 4); |
|
| 2536 | - $s21 = 2097151 & (self::load_3(self::substr($s, 55, 3)) >> 1); |
|
| 2537 | - $s22 = 2097151 & (self::load_4(self::substr($s, 57, 4)) >> 6); |
|
| 2538 | - $s23 = (self::load_4(self::substr($s, 60, 4)) >> 3); |
|
| 2539 | - |
|
| 2540 | - $s11 += self::mul($s23, 666643, 20); |
|
| 2541 | - $s12 += self::mul($s23, 470296, 19); |
|
| 2542 | - $s13 += self::mul($s23, 654183, 20); |
|
| 2543 | - $s14 -= self::mul($s23, 997805, 20); |
|
| 2544 | - $s15 += self::mul($s23, 136657, 18); |
|
| 2545 | - $s16 -= self::mul($s23, 683901, 20); |
|
| 2546 | - |
|
| 2547 | - $s10 += self::mul($s22, 666643, 20); |
|
| 2548 | - $s11 += self::mul($s22, 470296, 19); |
|
| 2549 | - $s12 += self::mul($s22, 654183, 20); |
|
| 2550 | - $s13 -= self::mul($s22, 997805, 20); |
|
| 2551 | - $s14 += self::mul($s22, 136657, 18); |
|
| 2552 | - $s15 -= self::mul($s22, 683901, 20); |
|
| 2553 | - |
|
| 2554 | - $s9 += self::mul($s21, 666643, 20); |
|
| 2555 | - $s10 += self::mul($s21, 470296, 19); |
|
| 2556 | - $s11 += self::mul($s21, 654183, 20); |
|
| 2557 | - $s12 -= self::mul($s21, 997805, 20); |
|
| 2558 | - $s13 += self::mul($s21, 136657, 18); |
|
| 2559 | - $s14 -= self::mul($s21, 683901, 20); |
|
| 2560 | - |
|
| 2561 | - $s8 += self::mul($s20, 666643, 20); |
|
| 2562 | - $s9 += self::mul($s20, 470296, 19); |
|
| 2563 | - $s10 += self::mul($s20, 654183, 20); |
|
| 2564 | - $s11 -= self::mul($s20, 997805, 20); |
|
| 2565 | - $s12 += self::mul($s20, 136657, 18); |
|
| 2566 | - $s13 -= self::mul($s20, 683901, 20); |
|
| 2567 | - |
|
| 2568 | - $s7 += self::mul($s19, 666643, 20); |
|
| 2569 | - $s8 += self::mul($s19, 470296, 19); |
|
| 2570 | - $s9 += self::mul($s19, 654183, 20); |
|
| 2571 | - $s10 -= self::mul($s19, 997805, 20); |
|
| 2572 | - $s11 += self::mul($s19, 136657, 18); |
|
| 2573 | - $s12 -= self::mul($s19, 683901, 20); |
|
| 2574 | - |
|
| 2575 | - $s6 += self::mul($s18, 666643, 20); |
|
| 2576 | - $s7 += self::mul($s18, 470296, 19); |
|
| 2577 | - $s8 += self::mul($s18, 654183, 20); |
|
| 2578 | - $s9 -= self::mul($s18, 997805, 20); |
|
| 2579 | - $s10 += self::mul($s18, 136657, 18); |
|
| 2580 | - $s11 -= self::mul($s18, 683901, 20); |
|
| 2581 | - |
|
| 2582 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2583 | - $s7 += $carry6; |
|
| 2584 | - $s6 -= $carry6 << 21; |
|
| 2585 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2586 | - $s9 += $carry8; |
|
| 2587 | - $s8 -= $carry8 << 21; |
|
| 2588 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2589 | - $s11 += $carry10; |
|
| 2590 | - $s10 -= $carry10 << 21; |
|
| 2591 | - $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2592 | - $s13 += $carry12; |
|
| 2593 | - $s12 -= $carry12 << 21; |
|
| 2594 | - $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2595 | - $s15 += $carry14; |
|
| 2596 | - $s14 -= $carry14 << 21; |
|
| 2597 | - $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2598 | - $s17 += $carry16; |
|
| 2599 | - $s16 -= $carry16 << 21; |
|
| 2600 | - |
|
| 2601 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2602 | - $s8 += $carry7; |
|
| 2603 | - $s7 -= $carry7 << 21; |
|
| 2604 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2605 | - $s10 += $carry9; |
|
| 2606 | - $s9 -= $carry9 << 21; |
|
| 2607 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2608 | - $s12 += $carry11; |
|
| 2609 | - $s11 -= $carry11 << 21; |
|
| 2610 | - $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2611 | - $s14 += $carry13; |
|
| 2612 | - $s13 -= $carry13 << 21; |
|
| 2613 | - $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2614 | - $s16 += $carry15; |
|
| 2615 | - $s15 -= $carry15 << 21; |
|
| 2616 | - |
|
| 2617 | - $s5 += self::mul($s17, 666643, 20); |
|
| 2618 | - $s6 += self::mul($s17, 470296, 19); |
|
| 2619 | - $s7 += self::mul($s17, 654183, 20); |
|
| 2620 | - $s8 -= self::mul($s17, 997805, 20); |
|
| 2621 | - $s9 += self::mul($s17, 136657, 18); |
|
| 2622 | - $s10 -= self::mul($s17, 683901, 20); |
|
| 2623 | - |
|
| 2624 | - $s4 += self::mul($s16, 666643, 20); |
|
| 2625 | - $s5 += self::mul($s16, 470296, 19); |
|
| 2626 | - $s6 += self::mul($s16, 654183, 20); |
|
| 2627 | - $s7 -= self::mul($s16, 997805, 20); |
|
| 2628 | - $s8 += self::mul($s16, 136657, 18); |
|
| 2629 | - $s9 -= self::mul($s16, 683901, 20); |
|
| 2630 | - |
|
| 2631 | - $s3 += self::mul($s15, 666643, 20); |
|
| 2632 | - $s4 += self::mul($s15, 470296, 19); |
|
| 2633 | - $s5 += self::mul($s15, 654183, 20); |
|
| 2634 | - $s6 -= self::mul($s15, 997805, 20); |
|
| 2635 | - $s7 += self::mul($s15, 136657, 18); |
|
| 2636 | - $s8 -= self::mul($s15, 683901, 20); |
|
| 2637 | - |
|
| 2638 | - $s2 += self::mul($s14, 666643, 20); |
|
| 2639 | - $s3 += self::mul($s14, 470296, 19); |
|
| 2640 | - $s4 += self::mul($s14, 654183, 20); |
|
| 2641 | - $s5 -= self::mul($s14, 997805, 20); |
|
| 2642 | - $s6 += self::mul($s14, 136657, 18); |
|
| 2643 | - $s7 -= self::mul($s14, 683901, 20); |
|
| 2644 | - |
|
| 2645 | - $s1 += self::mul($s13, 666643, 20); |
|
| 2646 | - $s2 += self::mul($s13, 470296, 19); |
|
| 2647 | - $s3 += self::mul($s13, 654183, 20); |
|
| 2648 | - $s4 -= self::mul($s13, 997805, 20); |
|
| 2649 | - $s5 += self::mul($s13, 136657, 18); |
|
| 2650 | - $s6 -= self::mul($s13, 683901, 20); |
|
| 2651 | - |
|
| 2652 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2653 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2654 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2655 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2656 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2657 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2658 | - $s12 = 0; |
|
| 2659 | - |
|
| 2660 | - $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2661 | - $s1 += $carry0; |
|
| 2662 | - $s0 -= $carry0 << 21; |
|
| 2663 | - $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2664 | - $s3 += $carry2; |
|
| 2665 | - $s2 -= $carry2 << 21; |
|
| 2666 | - $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2667 | - $s5 += $carry4; |
|
| 2668 | - $s4 -= $carry4 << 21; |
|
| 2669 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2670 | - $s7 += $carry6; |
|
| 2671 | - $s6 -= $carry6 << 21; |
|
| 2672 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2673 | - $s9 += $carry8; |
|
| 2674 | - $s8 -= $carry8 << 21; |
|
| 2675 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2676 | - $s11 += $carry10; |
|
| 2677 | - $s10 -= $carry10 << 21; |
|
| 2678 | - |
|
| 2679 | - $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2680 | - $s2 += $carry1; |
|
| 2681 | - $s1 -= $carry1 << 21; |
|
| 2682 | - $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2683 | - $s4 += $carry3; |
|
| 2684 | - $s3 -= $carry3 << 21; |
|
| 2685 | - $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2686 | - $s6 += $carry5; |
|
| 2687 | - $s5 -= $carry5 << 21; |
|
| 2688 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2689 | - $s8 += $carry7; |
|
| 2690 | - $s7 -= $carry7 << 21; |
|
| 2691 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2692 | - $s10 += $carry9; |
|
| 2693 | - $s9 -= $carry9 << 21; |
|
| 2694 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2695 | - $s12 += $carry11; |
|
| 2696 | - $s11 -= $carry11 << 21; |
|
| 2697 | - |
|
| 2698 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2699 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2700 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2701 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2702 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2703 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2704 | - $s12 = 0; |
|
| 2705 | - |
|
| 2706 | - $carry0 = $s0 >> 21; |
|
| 2707 | - $s1 += $carry0; |
|
| 2708 | - $s0 -= $carry0 << 21; |
|
| 2709 | - $carry1 = $s1 >> 21; |
|
| 2710 | - $s2 += $carry1; |
|
| 2711 | - $s1 -= $carry1 << 21; |
|
| 2712 | - $carry2 = $s2 >> 21; |
|
| 2713 | - $s3 += $carry2; |
|
| 2714 | - $s2 -= $carry2 << 21; |
|
| 2715 | - $carry3 = $s3 >> 21; |
|
| 2716 | - $s4 += $carry3; |
|
| 2717 | - $s3 -= $carry3 << 21; |
|
| 2718 | - $carry4 = $s4 >> 21; |
|
| 2719 | - $s5 += $carry4; |
|
| 2720 | - $s4 -= $carry4 << 21; |
|
| 2721 | - $carry5 = $s5 >> 21; |
|
| 2722 | - $s6 += $carry5; |
|
| 2723 | - $s5 -= $carry5 << 21; |
|
| 2724 | - $carry6 = $s6 >> 21; |
|
| 2725 | - $s7 += $carry6; |
|
| 2726 | - $s6 -= $carry6 << 21; |
|
| 2727 | - $carry7 = $s7 >> 21; |
|
| 2728 | - $s8 += $carry7; |
|
| 2729 | - $s7 -= $carry7 << 21; |
|
| 2730 | - $carry8 = $s8 >> 21; |
|
| 2731 | - $s9 += $carry8; |
|
| 2732 | - $s8 -= $carry8 << 21; |
|
| 2733 | - $carry9 = $s9 >> 21; |
|
| 2734 | - $s10 += $carry9; |
|
| 2735 | - $s9 -= $carry9 << 21; |
|
| 2736 | - $carry10 = $s10 >> 21; |
|
| 2737 | - $s11 += $carry10; |
|
| 2738 | - $s10 -= $carry10 << 21; |
|
| 2739 | - $carry11 = $s11 >> 21; |
|
| 2740 | - $s12 += $carry11; |
|
| 2741 | - $s11 -= $carry11 << 21; |
|
| 2742 | - |
|
| 2743 | - $s0 += self::mul($s12, 666643, 20); |
|
| 2744 | - $s1 += self::mul($s12, 470296, 19); |
|
| 2745 | - $s2 += self::mul($s12, 654183, 20); |
|
| 2746 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 2747 | - $s4 += self::mul($s12, 136657, 18); |
|
| 2748 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 2749 | - |
|
| 2750 | - $carry0 = $s0 >> 21; |
|
| 2751 | - $s1 += $carry0; |
|
| 2752 | - $s0 -= $carry0 << 21; |
|
| 2753 | - $carry1 = $s1 >> 21; |
|
| 2754 | - $s2 += $carry1; |
|
| 2755 | - $s1 -= $carry1 << 21; |
|
| 2756 | - $carry2 = $s2 >> 21; |
|
| 2757 | - $s3 += $carry2; |
|
| 2758 | - $s2 -= $carry2 << 21; |
|
| 2759 | - $carry3 = $s3 >> 21; |
|
| 2760 | - $s4 += $carry3; |
|
| 2761 | - $s3 -= $carry3 << 21; |
|
| 2762 | - $carry4 = $s4 >> 21; |
|
| 2763 | - $s5 += $carry4; |
|
| 2764 | - $s4 -= $carry4 << 21; |
|
| 2765 | - $carry5 = $s5 >> 21; |
|
| 2766 | - $s6 += $carry5; |
|
| 2767 | - $s5 -= $carry5 << 21; |
|
| 2768 | - $carry6 = $s6 >> 21; |
|
| 2769 | - $s7 += $carry6; |
|
| 2770 | - $s6 -= $carry6 << 21; |
|
| 2771 | - $carry7 = $s7 >> 21; |
|
| 2772 | - $s8 += $carry7; |
|
| 2773 | - $s7 -= $carry7 << 21; |
|
| 2774 | - $carry8 = $s8 >> 21; |
|
| 2775 | - $s9 += $carry8; |
|
| 2776 | - $s8 -= $carry8 << 21; |
|
| 2777 | - $carry9 = $s9 >> 21; |
|
| 2778 | - $s10 += $carry9; |
|
| 2779 | - $s9 -= $carry9 << 21; |
|
| 2780 | - $carry10 = $s10 >> 21; |
|
| 2781 | - $s11 += $carry10; |
|
| 2782 | - $s10 -= $carry10 << 21; |
|
| 2783 | - |
|
| 2784 | - /** |
|
| 2785 | - * @var array<int, int> |
|
| 2786 | - */ |
|
| 2787 | - $arr = array( |
|
| 2788 | - (int) ($s0 >> 0), |
|
| 2789 | - (int) ($s0 >> 8), |
|
| 2790 | - (int) (($s0 >> 16) | $s1 << 5), |
|
| 2791 | - (int) ($s1 >> 3), |
|
| 2792 | - (int) ($s1 >> 11), |
|
| 2793 | - (int) (($s1 >> 19) | $s2 << 2), |
|
| 2794 | - (int) ($s2 >> 6), |
|
| 2795 | - (int) (($s2 >> 14) | $s3 << 7), |
|
| 2796 | - (int) ($s3 >> 1), |
|
| 2797 | - (int) ($s3 >> 9), |
|
| 2798 | - (int) (($s3 >> 17) | $s4 << 4), |
|
| 2799 | - (int) ($s4 >> 4), |
|
| 2800 | - (int) ($s4 >> 12), |
|
| 2801 | - (int) (($s4 >> 20) | $s5 << 1), |
|
| 2802 | - (int) ($s5 >> 7), |
|
| 2803 | - (int) (($s5 >> 15) | $s6 << 6), |
|
| 2804 | - (int) ($s6 >> 2), |
|
| 2805 | - (int) ($s6 >> 10), |
|
| 2806 | - (int) (($s6 >> 18) | $s7 << 3), |
|
| 2807 | - (int) ($s7 >> 5), |
|
| 2808 | - (int) ($s7 >> 13), |
|
| 2809 | - (int) ($s8 >> 0), |
|
| 2810 | - (int) ($s8 >> 8), |
|
| 2811 | - (int) (($s8 >> 16) | $s9 << 5), |
|
| 2812 | - (int) ($s9 >> 3), |
|
| 2813 | - (int) ($s9 >> 11), |
|
| 2814 | - (int) (($s9 >> 19) | $s10 << 2), |
|
| 2815 | - (int) ($s10 >> 6), |
|
| 2816 | - (int) (($s10 >> 14) | $s11 << 7), |
|
| 2817 | - (int) ($s11 >> 1), |
|
| 2818 | - (int) ($s11 >> 9), |
|
| 2819 | - (int) $s11 >> 17 |
|
| 2820 | - ); |
|
| 2821 | - return self::intArrayToString($arr); |
|
| 2822 | - } |
|
| 2823 | - |
|
| 2824 | - /** |
|
| 2825 | - * multiply by the order of the main subgroup l = 2^252+27742317777372353535851937790883648493 |
|
| 2826 | - * |
|
| 2827 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A |
|
| 2828 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 2829 | - */ |
|
| 2830 | - public static function ge_mul_l(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A) |
|
| 2831 | - { |
|
| 2832 | - $aslide = array( |
|
| 2833 | - 13, 0, 0, 0, 0, -1, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, |
|
| 2834 | - 0, 0, 0, -3, 0, 0, 0, 0, -13, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0, |
|
| 2835 | - 0, 0, 0, -13, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, |
|
| 2836 | - 0, 0, 11, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -1, |
|
| 2837 | - 0, 0, 0, 0, 3, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, |
|
| 2838 | - 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0, |
|
| 2839 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2840 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2841 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2842 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2843 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2844 | - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 |
|
| 2845 | - ); |
|
| 2846 | - |
|
| 2847 | - /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $Ai size 8 */ |
|
| 2848 | - $Ai = array(); |
|
| 2849 | - |
|
| 2850 | - # ge_p3_to_cached(&Ai[0], A); |
|
| 2851 | - $Ai[0] = self::ge_p3_to_cached($A); |
|
| 2852 | - # ge_p3_dbl(&t, A); |
|
| 2853 | - $t = self::ge_p3_dbl($A); |
|
| 2854 | - # ge_p1p1_to_p3(&A2, &t); |
|
| 2855 | - $A2 = self::ge_p1p1_to_p3($t); |
|
| 2856 | - |
|
| 2857 | - for ($i = 1; $i < 8; ++$i) { |
|
| 2858 | - # ge_add(&t, &A2, &Ai[0]); |
|
| 2859 | - $t = self::ge_add($A2, $Ai[$i - 1]); |
|
| 2860 | - # ge_p1p1_to_p3(&u, &t); |
|
| 2861 | - $u = self::ge_p1p1_to_p3($t); |
|
| 2862 | - # ge_p3_to_cached(&Ai[i], &u); |
|
| 2863 | - $Ai[$i] = self::ge_p3_to_cached($u); |
|
| 2864 | - } |
|
| 2865 | - |
|
| 2866 | - $r = self::ge_p3_0(); |
|
| 2867 | - for ($i = 252; $i >= 0; --$i) { |
|
| 2868 | - $t = self::ge_p3_dbl($r); |
|
| 2869 | - if ($aslide[$i] > 0) { |
|
| 2870 | - # ge_p1p1_to_p3(&u, &t); |
|
| 2871 | - $u = self::ge_p1p1_to_p3($t); |
|
| 2872 | - # ge_add(&t, &u, &Ai[aslide[i] / 2]); |
|
| 2873 | - $t = self::ge_add($u, $Ai[(int)($aslide[$i] / 2)]); |
|
| 2874 | - } elseif ($aslide[$i] < 0) { |
|
| 2875 | - # ge_p1p1_to_p3(&u, &t); |
|
| 2876 | - $u = self::ge_p1p1_to_p3($t); |
|
| 2877 | - # ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]); |
|
| 2878 | - $t = self::ge_sub($u, $Ai[(int)(-$aslide[$i] / 2)]); |
|
| 2879 | - } |
|
| 2880 | - } |
|
| 2881 | - |
|
| 2882 | - # ge_p1p1_to_p3(r, &t); |
|
| 2883 | - return self::ge_p1p1_to_p3($t); |
|
| 2884 | - } |
|
| 2885 | - |
|
| 2886 | - /** |
|
| 2887 | - * @param string $a |
|
| 2888 | - * @param string $b |
|
| 2889 | - * @return string |
|
| 2890 | - */ |
|
| 2891 | - public static function sc25519_mul($a, $b) |
|
| 2892 | - { |
|
| 2893 | - // int64_t a0 = 2097151 & load_3(a); |
|
| 2894 | - // int64_t a1 = 2097151 & (load_4(a + 2) >> 5); |
|
| 2895 | - // int64_t a2 = 2097151 & (load_3(a + 5) >> 2); |
|
| 2896 | - // int64_t a3 = 2097151 & (load_4(a + 7) >> 7); |
|
| 2897 | - // int64_t a4 = 2097151 & (load_4(a + 10) >> 4); |
|
| 2898 | - // int64_t a5 = 2097151 & (load_3(a + 13) >> 1); |
|
| 2899 | - // int64_t a6 = 2097151 & (load_4(a + 15) >> 6); |
|
| 2900 | - // int64_t a7 = 2097151 & (load_3(a + 18) >> 3); |
|
| 2901 | - // int64_t a8 = 2097151 & load_3(a + 21); |
|
| 2902 | - // int64_t a9 = 2097151 & (load_4(a + 23) >> 5); |
|
| 2903 | - // int64_t a10 = 2097151 & (load_3(a + 26) >> 2); |
|
| 2904 | - // int64_t a11 = (load_4(a + 28) >> 7); |
|
| 2905 | - $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); |
|
| 2906 | - $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); |
|
| 2907 | - $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); |
|
| 2908 | - $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); |
|
| 2909 | - $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); |
|
| 2910 | - $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); |
|
| 2911 | - $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); |
|
| 2912 | - $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); |
|
| 2913 | - $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); |
|
| 2914 | - $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); |
|
| 2915 | - $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); |
|
| 2916 | - $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); |
|
| 2917 | - |
|
| 2918 | - // int64_t b0 = 2097151 & load_3(b); |
|
| 2919 | - // int64_t b1 = 2097151 & (load_4(b + 2) >> 5); |
|
| 2920 | - // int64_t b2 = 2097151 & (load_3(b + 5) >> 2); |
|
| 2921 | - // int64_t b3 = 2097151 & (load_4(b + 7) >> 7); |
|
| 2922 | - // int64_t b4 = 2097151 & (load_4(b + 10) >> 4); |
|
| 2923 | - // int64_t b5 = 2097151 & (load_3(b + 13) >> 1); |
|
| 2924 | - // int64_t b6 = 2097151 & (load_4(b + 15) >> 6); |
|
| 2925 | - // int64_t b7 = 2097151 & (load_3(b + 18) >> 3); |
|
| 2926 | - // int64_t b8 = 2097151 & load_3(b + 21); |
|
| 2927 | - // int64_t b9 = 2097151 & (load_4(b + 23) >> 5); |
|
| 2928 | - // int64_t b10 = 2097151 & (load_3(b + 26) >> 2); |
|
| 2929 | - // int64_t b11 = (load_4(b + 28) >> 7); |
|
| 2930 | - $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); |
|
| 2931 | - $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); |
|
| 2932 | - $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); |
|
| 2933 | - $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); |
|
| 2934 | - $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); |
|
| 2935 | - $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); |
|
| 2936 | - $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); |
|
| 2937 | - $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); |
|
| 2938 | - $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); |
|
| 2939 | - $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); |
|
| 2940 | - $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); |
|
| 2941 | - $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); |
|
| 2942 | - |
|
| 2943 | - // s0 = a0 * b0; |
|
| 2944 | - // s1 = a0 * b1 + a1 * b0; |
|
| 2945 | - // s2 = a0 * b2 + a1 * b1 + a2 * b0; |
|
| 2946 | - // s3 = a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; |
|
| 2947 | - // s4 = a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0; |
|
| 2948 | - // s5 = a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0; |
|
| 2949 | - // s6 = a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0; |
|
| 2950 | - // s7 = a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + |
|
| 2951 | - // a6 * b1 + a7 * b0; |
|
| 2952 | - // s8 = a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + |
|
| 2953 | - // a6 * b2 + a7 * b1 + a8 * b0; |
|
| 2954 | - // s9 = a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + |
|
| 2955 | - // a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0; |
|
| 2956 | - // s10 = a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + |
|
| 2957 | - // a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0; |
|
| 2958 | - // s11 = a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + |
|
| 2959 | - // a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0; |
|
| 2960 | - // s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + |
|
| 2961 | - // a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1; |
|
| 2962 | - // s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + |
|
| 2963 | - // a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2; |
|
| 2964 | - // s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + |
|
| 2965 | - // a9 * b5 + a10 * b4 + a11 * b3; |
|
| 2966 | - // s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + |
|
| 2967 | - // a10 * b5 + a11 * b4; |
|
| 2968 | - // s16 = |
|
| 2969 | - // a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5; |
|
| 2970 | - // s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6; |
|
| 2971 | - // s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7; |
|
| 2972 | - // s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8; |
|
| 2973 | - // s20 = a9 * b11 + a10 * b10 + a11 * b9; |
|
| 2974 | - // s21 = a10 * b11 + a11 * b10; |
|
| 2975 | - // s22 = a11 * b11; |
|
| 2976 | - // s23 = 0; |
|
| 2977 | - $s0 = self::mul($a0, $b0, 22); |
|
| 2978 | - $s1 = self::mul($a0, $b1, 22) + self::mul($a1, $b0, 22); |
|
| 2979 | - $s2 = self::mul($a0, $b2, 22) + self::mul($a1, $b1, 22) + self::mul($a2, $b0, 22); |
|
| 2980 | - $s3 = self::mul($a0, $b3, 22) + self::mul($a1, $b2, 22) + self::mul($a2, $b1, 22) + self::mul($a3, $b0, 22); |
|
| 2981 | - $s4 = self::mul($a0, $b4, 22) + self::mul($a1, $b3, 22) + self::mul($a2, $b2, 22) + self::mul($a3, $b1, 22) + |
|
| 2982 | - self::mul($a4, $b0, 22); |
|
| 2983 | - $s5 = self::mul($a0, $b5, 22) + self::mul($a1, $b4, 22) + self::mul($a2, $b3, 22) + self::mul($a3, $b2, 22) + |
|
| 2984 | - self::mul($a4, $b1, 22) + self::mul($a5, $b0, 22); |
|
| 2985 | - $s6 = self::mul($a0, $b6, 22) + self::mul($a1, $b5, 22) + self::mul($a2, $b4, 22) + self::mul($a3, $b3, 22) + |
|
| 2986 | - self::mul($a4, $b2, 22) + self::mul($a5, $b1, 22) + self::mul($a6, $b0, 22); |
|
| 2987 | - $s7 = self::mul($a0, $b7, 22) + self::mul($a1, $b6, 22) + self::mul($a2, $b5, 22) + self::mul($a3, $b4, 22) + |
|
| 2988 | - self::mul($a4, $b3, 22) + self::mul($a5, $b2, 22) + self::mul($a6, $b1, 22) + self::mul($a7, $b0, 22); |
|
| 2989 | - $s8 = self::mul($a0, $b8, 22) + self::mul($a1, $b7, 22) + self::mul($a2, $b6, 22) + self::mul($a3, $b5, 22) + |
|
| 2990 | - self::mul($a4, $b4, 22) + self::mul($a5, $b3, 22) + self::mul($a6, $b2, 22) + self::mul($a7, $b1, 22) + |
|
| 2991 | - self::mul($a8, $b0, 22); |
|
| 2992 | - $s9 = self::mul($a0, $b9, 22) + self::mul($a1, $b8, 22) + self::mul($a2, $b7, 22) + self::mul($a3, $b6, 22) + |
|
| 2993 | - self::mul($a4, $b5, 22) + self::mul($a5, $b4, 22) + self::mul($a6, $b3, 22) + self::mul($a7, $b2, 22) + |
|
| 2994 | - self::mul($a8, $b1, 22) + self::mul($a9, $b0, 22); |
|
| 2995 | - $s10 = self::mul($a0, $b10, 22) + self::mul($a1, $b9, 22) + self::mul($a2, $b8, 22) + self::mul($a3, $b7, 22) + |
|
| 2996 | - self::mul($a4, $b6, 22) + self::mul($a5, $b5, 22) + self::mul($a6, $b4, 22) + self::mul($a7, $b3, 22) + |
|
| 2997 | - self::mul($a8, $b2, 22) + self::mul($a9, $b1, 22) + self::mul($a10, $b0, 22); |
|
| 2998 | - $s11 = self::mul($a0, $b11, 22) + self::mul($a1, $b10, 22) + self::mul($a2, $b9, 22) + self::mul($a3, $b8, 22) + |
|
| 2999 | - self::mul($a4, $b7, 22) + self::mul($a5, $b6, 22) + self::mul($a6, $b5, 22) + self::mul($a7, $b4, 22) + |
|
| 3000 | - self::mul($a8, $b3, 22) + self::mul($a9, $b2, 22) + self::mul($a10, $b1, 22) + self::mul($a11, $b0, 22); |
|
| 3001 | - $s12 = self::mul($a1, $b11, 22) + self::mul($a2, $b10, 22) + self::mul($a3, $b9, 22) + self::mul($a4, $b8, 22) + |
|
| 3002 | - self::mul($a5, $b7, 22) + self::mul($a6, $b6, 22) + self::mul($a7, $b5, 22) + self::mul($a8, $b4, 22) + |
|
| 3003 | - self::mul($a9, $b3, 22) + self::mul($a10, $b2, 22) + self::mul($a11, $b1, 22); |
|
| 3004 | - $s13 = self::mul($a2, $b11, 22) + self::mul($a3, $b10, 22) + self::mul($a4, $b9, 22) + self::mul($a5, $b8, 22) + |
|
| 3005 | - self::mul($a6, $b7, 22) + self::mul($a7, $b6, 22) + self::mul($a8, $b5, 22) + self::mul($a9, $b4, 22) + |
|
| 3006 | - self::mul($a10, $b3, 22) + self::mul($a11, $b2, 22); |
|
| 3007 | - $s14 = self::mul($a3, $b11, 22) + self::mul($a4, $b10, 22) + self::mul($a5, $b9, 22) + self::mul($a6, $b8, 22) + |
|
| 3008 | - self::mul($a7, $b7, 22) + self::mul($a8, $b6, 22) + self::mul($a9, $b5, 22) + self::mul($a10, $b4, 22) + |
|
| 3009 | - self::mul($a11, $b3, 22); |
|
| 3010 | - $s15 = self::mul($a4, $b11, 22) + self::mul($a5, $b10, 22) + self::mul($a6, $b9, 22) + self::mul($a7, $b8, 22) + |
|
| 3011 | - self::mul($a8, $b7, 22) + self::mul($a9, $b6, 22) + self::mul($a10, $b5, 22) + self::mul($a11, $b4, 22); |
|
| 3012 | - $s16 = |
|
| 3013 | - self::mul($a5, $b11, 22) + self::mul($a6, $b10, 22) + self::mul($a7, $b9, 22) + self::mul($a8, $b8, 22) + |
|
| 3014 | - self::mul($a9, $b7, 22) + self::mul($a10, $b6, 22) + self::mul($a11, $b5, 22); |
|
| 3015 | - $s17 = self::mul($a6, $b11, 22) + self::mul($a7, $b10, 22) + self::mul($a8, $b9, 22) + self::mul($a9, $b8, 22) + |
|
| 3016 | - self::mul($a10, $b7, 22) + self::mul($a11, $b6, 22); |
|
| 3017 | - $s18 = self::mul($a7, $b11, 22) + self::mul($a8, $b10, 22) + self::mul($a9, $b9, 22) + self::mul($a10, $b8, 22) |
|
| 3018 | - + self::mul($a11, $b7, 22); |
|
| 3019 | - $s19 = self::mul($a8, $b11, 22) + self::mul($a9, $b10, 22) + self::mul($a10, $b9, 22) + |
|
| 3020 | - self::mul($a11, $b8, 22); |
|
| 3021 | - $s20 = self::mul($a9, $b11, 22) + self::mul($a10, $b10, 22) + self::mul($a11, $b9, 22); |
|
| 3022 | - $s21 = self::mul($a10, $b11, 22) + self::mul($a11, $b10, 22); |
|
| 3023 | - $s22 = self::mul($a11, $b11, 22); |
|
| 3024 | - $s23 = 0; |
|
| 3025 | - |
|
| 3026 | - // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; |
|
| 3027 | - // s1 += carry0; |
|
| 3028 | - // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3029 | - $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 3030 | - $s1 += $carry0; |
|
| 3031 | - $s0 -= $carry0 << 21; |
|
| 3032 | - // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; |
|
| 3033 | - // s3 += carry2; |
|
| 3034 | - // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3035 | - $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 3036 | - $s3 += $carry2; |
|
| 3037 | - $s2 -= $carry2 << 21; |
|
| 3038 | - // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; |
|
| 3039 | - // s5 += carry4; |
|
| 3040 | - // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3041 | - $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 3042 | - $s5 += $carry4; |
|
| 3043 | - $s4 -= $carry4 << 21; |
|
| 3044 | - // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3045 | - // s7 += carry6; |
|
| 3046 | - // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3047 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3048 | - $s7 += $carry6; |
|
| 3049 | - $s6 -= $carry6 << 21; |
|
| 3050 | - // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3051 | - // s9 += carry8; |
|
| 3052 | - // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3053 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3054 | - $s9 += $carry8; |
|
| 3055 | - $s8 -= $carry8 << 21; |
|
| 3056 | - // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3057 | - // s11 += carry10; |
|
| 3058 | - // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3059 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3060 | - $s11 += $carry10; |
|
| 3061 | - $s10 -= $carry10 << 21; |
|
| 3062 | - // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; |
|
| 3063 | - // s13 += carry12; |
|
| 3064 | - // s12 -= carry12 * ((uint64_t) 1L << 21); |
|
| 3065 | - $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 3066 | - $s13 += $carry12; |
|
| 3067 | - $s12 -= $carry12 << 21; |
|
| 3068 | - // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; |
|
| 3069 | - // s15 += carry14; |
|
| 3070 | - // s14 -= carry14 * ((uint64_t) 1L << 21); |
|
| 3071 | - $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 3072 | - $s15 += $carry14; |
|
| 3073 | - $s14 -= $carry14 << 21; |
|
| 3074 | - // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; |
|
| 3075 | - // s17 += carry16; |
|
| 3076 | - // s16 -= carry16 * ((uint64_t) 1L << 21); |
|
| 3077 | - $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 3078 | - $s17 += $carry16; |
|
| 3079 | - $s16 -= $carry16 << 21; |
|
| 3080 | - // carry18 = (s18 + (int64_t) (1L << 20)) >> 21; |
|
| 3081 | - // s19 += carry18; |
|
| 3082 | - // s18 -= carry18 * ((uint64_t) 1L << 21); |
|
| 3083 | - $carry18 = ($s18 + (1 << 20)) >> 21; |
|
| 3084 | - $s19 += $carry18; |
|
| 3085 | - $s18 -= $carry18 << 21; |
|
| 3086 | - // carry20 = (s20 + (int64_t) (1L << 20)) >> 21; |
|
| 3087 | - // s21 += carry20; |
|
| 3088 | - // s20 -= carry20 * ((uint64_t) 1L << 21); |
|
| 3089 | - $carry20 = ($s20 + (1 << 20)) >> 21; |
|
| 3090 | - $s21 += $carry20; |
|
| 3091 | - $s20 -= $carry20 << 21; |
|
| 3092 | - // carry22 = (s22 + (int64_t) (1L << 20)) >> 21; |
|
| 3093 | - // s23 += carry22; |
|
| 3094 | - // s22 -= carry22 * ((uint64_t) 1L << 21); |
|
| 3095 | - $carry22 = ($s22 + (1 << 20)) >> 21; |
|
| 3096 | - $s23 += $carry22; |
|
| 3097 | - $s22 -= $carry22 << 21; |
|
| 3098 | - |
|
| 3099 | - // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; |
|
| 3100 | - // s2 += carry1; |
|
| 3101 | - // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3102 | - $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 3103 | - $s2 += $carry1; |
|
| 3104 | - $s1 -= $carry1 << 21; |
|
| 3105 | - // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; |
|
| 3106 | - // s4 += carry3; |
|
| 3107 | - // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3108 | - $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 3109 | - $s4 += $carry3; |
|
| 3110 | - $s3 -= $carry3 << 21; |
|
| 3111 | - // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; |
|
| 3112 | - // s6 += carry5; |
|
| 3113 | - // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3114 | - $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 3115 | - $s6 += $carry5; |
|
| 3116 | - $s5 -= $carry5 << 21; |
|
| 3117 | - // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3118 | - // s8 += carry7; |
|
| 3119 | - // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3120 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3121 | - $s8 += $carry7; |
|
| 3122 | - $s7 -= $carry7 << 21; |
|
| 3123 | - // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3124 | - // s10 += carry9; |
|
| 3125 | - // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3126 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3127 | - $s10 += $carry9; |
|
| 3128 | - $s9 -= $carry9 << 21; |
|
| 3129 | - // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3130 | - // s12 += carry11; |
|
| 3131 | - // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3132 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3133 | - $s12 += $carry11; |
|
| 3134 | - $s11 -= $carry11 << 21; |
|
| 3135 | - // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; |
|
| 3136 | - // s14 += carry13; |
|
| 3137 | - // s13 -= carry13 * ((uint64_t) 1L << 21); |
|
| 3138 | - $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 3139 | - $s14 += $carry13; |
|
| 3140 | - $s13 -= $carry13 << 21; |
|
| 3141 | - // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; |
|
| 3142 | - // s16 += carry15; |
|
| 3143 | - // s15 -= carry15 * ((uint64_t) 1L << 21); |
|
| 3144 | - $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 3145 | - $s16 += $carry15; |
|
| 3146 | - $s15 -= $carry15 << 21; |
|
| 3147 | - // carry17 = (s17 + (int64_t) (1L << 20)) >> 21; |
|
| 3148 | - // s18 += carry17; |
|
| 3149 | - // s17 -= carry17 * ((uint64_t) 1L << 21); |
|
| 3150 | - $carry17 = ($s17 + (1 << 20)) >> 21; |
|
| 3151 | - $s18 += $carry17; |
|
| 3152 | - $s17 -= $carry17 << 21; |
|
| 3153 | - // carry19 = (s19 + (int64_t) (1L << 20)) >> 21; |
|
| 3154 | - // s20 += carry19; |
|
| 3155 | - // s19 -= carry19 * ((uint64_t) 1L << 21); |
|
| 3156 | - $carry19 = ($s19 + (1 << 20)) >> 21; |
|
| 3157 | - $s20 += $carry19; |
|
| 3158 | - $s19 -= $carry19 << 21; |
|
| 3159 | - // carry21 = (s21 + (int64_t) (1L << 20)) >> 21; |
|
| 3160 | - // s22 += carry21; |
|
| 3161 | - // s21 -= carry21 * ((uint64_t) 1L << 21); |
|
| 3162 | - $carry21 = ($s21 + (1 << 20)) >> 21; |
|
| 3163 | - $s22 += $carry21; |
|
| 3164 | - $s21 -= $carry21 << 21; |
|
| 3165 | - |
|
| 3166 | - // s11 += s23 * 666643; |
|
| 3167 | - // s12 += s23 * 470296; |
|
| 3168 | - // s13 += s23 * 654183; |
|
| 3169 | - // s14 -= s23 * 997805; |
|
| 3170 | - // s15 += s23 * 136657; |
|
| 3171 | - // s16 -= s23 * 683901; |
|
| 3172 | - $s11 += self::mul($s23, 666643, 20); |
|
| 3173 | - $s12 += self::mul($s23, 470296, 19); |
|
| 3174 | - $s13 += self::mul($s23, 654183, 20); |
|
| 3175 | - $s14 -= self::mul($s23, 997805, 20); |
|
| 3176 | - $s15 += self::mul($s23, 136657, 18); |
|
| 3177 | - $s16 -= self::mul($s23, 683901, 20); |
|
| 3178 | - |
|
| 3179 | - // s10 += s22 * 666643; |
|
| 3180 | - // s11 += s22 * 470296; |
|
| 3181 | - // s12 += s22 * 654183; |
|
| 3182 | - // s13 -= s22 * 997805; |
|
| 3183 | - // s14 += s22 * 136657; |
|
| 3184 | - // s15 -= s22 * 683901; |
|
| 3185 | - $s10 += self::mul($s22, 666643, 20); |
|
| 3186 | - $s11 += self::mul($s22, 470296, 19); |
|
| 3187 | - $s12 += self::mul($s22, 654183, 20); |
|
| 3188 | - $s13 -= self::mul($s22, 997805, 20); |
|
| 3189 | - $s14 += self::mul($s22, 136657, 18); |
|
| 3190 | - $s15 -= self::mul($s22, 683901, 20); |
|
| 3191 | - |
|
| 3192 | - // s9 += s21 * 666643; |
|
| 3193 | - // s10 += s21 * 470296; |
|
| 3194 | - // s11 += s21 * 654183; |
|
| 3195 | - // s12 -= s21 * 997805; |
|
| 3196 | - // s13 += s21 * 136657; |
|
| 3197 | - // s14 -= s21 * 683901; |
|
| 3198 | - $s9 += self::mul($s21, 666643, 20); |
|
| 3199 | - $s10 += self::mul($s21, 470296, 19); |
|
| 3200 | - $s11 += self::mul($s21, 654183, 20); |
|
| 3201 | - $s12 -= self::mul($s21, 997805, 20); |
|
| 3202 | - $s13 += self::mul($s21, 136657, 18); |
|
| 3203 | - $s14 -= self::mul($s21, 683901, 20); |
|
| 3204 | - |
|
| 3205 | - // s8 += s20 * 666643; |
|
| 3206 | - // s9 += s20 * 470296; |
|
| 3207 | - // s10 += s20 * 654183; |
|
| 3208 | - // s11 -= s20 * 997805; |
|
| 3209 | - // s12 += s20 * 136657; |
|
| 3210 | - // s13 -= s20 * 683901; |
|
| 3211 | - $s8 += self::mul($s20, 666643, 20); |
|
| 3212 | - $s9 += self::mul($s20, 470296, 19); |
|
| 3213 | - $s10 += self::mul($s20, 654183, 20); |
|
| 3214 | - $s11 -= self::mul($s20, 997805, 20); |
|
| 3215 | - $s12 += self::mul($s20, 136657, 18); |
|
| 3216 | - $s13 -= self::mul($s20, 683901, 20); |
|
| 3217 | - |
|
| 3218 | - // s7 += s19 * 666643; |
|
| 3219 | - // s8 += s19 * 470296; |
|
| 3220 | - // s9 += s19 * 654183; |
|
| 3221 | - // s10 -= s19 * 997805; |
|
| 3222 | - // s11 += s19 * 136657; |
|
| 3223 | - // s12 -= s19 * 683901; |
|
| 3224 | - $s7 += self::mul($s19, 666643, 20); |
|
| 3225 | - $s8 += self::mul($s19, 470296, 19); |
|
| 3226 | - $s9 += self::mul($s19, 654183, 20); |
|
| 3227 | - $s10 -= self::mul($s19, 997805, 20); |
|
| 3228 | - $s11 += self::mul($s19, 136657, 18); |
|
| 3229 | - $s12 -= self::mul($s19, 683901, 20); |
|
| 3230 | - |
|
| 3231 | - // s6 += s18 * 666643; |
|
| 3232 | - // s7 += s18 * 470296; |
|
| 3233 | - // s8 += s18 * 654183; |
|
| 3234 | - // s9 -= s18 * 997805; |
|
| 3235 | - // s10 += s18 * 136657; |
|
| 3236 | - // s11 -= s18 * 683901; |
|
| 3237 | - $s6 += self::mul($s18, 666643, 20); |
|
| 3238 | - $s7 += self::mul($s18, 470296, 19); |
|
| 3239 | - $s8 += self::mul($s18, 654183, 20); |
|
| 3240 | - $s9 -= self::mul($s18, 997805, 20); |
|
| 3241 | - $s10 += self::mul($s18, 136657, 18); |
|
| 3242 | - $s11 -= self::mul($s18, 683901, 20); |
|
| 3243 | - |
|
| 3244 | - // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3245 | - // s7 += carry6; |
|
| 3246 | - // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3247 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3248 | - $s7 += $carry6; |
|
| 3249 | - $s6 -= $carry6 << 21; |
|
| 3250 | - // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3251 | - // s9 += carry8; |
|
| 3252 | - // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3253 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3254 | - $s9 += $carry8; |
|
| 3255 | - $s8 -= $carry8 << 21; |
|
| 3256 | - // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3257 | - // s11 += carry10; |
|
| 3258 | - // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3259 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3260 | - $s11 += $carry10; |
|
| 3261 | - $s10 -= $carry10 << 21; |
|
| 3262 | - // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; |
|
| 3263 | - // s13 += carry12; |
|
| 3264 | - // s12 -= carry12 * ((uint64_t) 1L << 21); |
|
| 3265 | - $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 3266 | - $s13 += $carry12; |
|
| 3267 | - $s12 -= $carry12 << 21; |
|
| 3268 | - // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; |
|
| 3269 | - // s15 += carry14; |
|
| 3270 | - // s14 -= carry14 * ((uint64_t) 1L << 21); |
|
| 3271 | - $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 3272 | - $s15 += $carry14; |
|
| 3273 | - $s14 -= $carry14 << 21; |
|
| 3274 | - // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; |
|
| 3275 | - // s17 += carry16; |
|
| 3276 | - // s16 -= carry16 * ((uint64_t) 1L << 21); |
|
| 3277 | - $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 3278 | - $s17 += $carry16; |
|
| 3279 | - $s16 -= $carry16 << 21; |
|
| 3280 | - |
|
| 3281 | - // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3282 | - // s8 += carry7; |
|
| 3283 | - // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3284 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3285 | - $s8 += $carry7; |
|
| 3286 | - $s7 -= $carry7 << 21; |
|
| 3287 | - // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3288 | - // s10 += carry9; |
|
| 3289 | - // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3290 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3291 | - $s10 += $carry9; |
|
| 3292 | - $s9 -= $carry9 << 21; |
|
| 3293 | - // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3294 | - // s12 += carry11; |
|
| 3295 | - // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3296 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3297 | - $s12 += $carry11; |
|
| 3298 | - $s11 -= $carry11 << 21; |
|
| 3299 | - // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; |
|
| 3300 | - // s14 += carry13; |
|
| 3301 | - // s13 -= carry13 * ((uint64_t) 1L << 21); |
|
| 3302 | - $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 3303 | - $s14 += $carry13; |
|
| 3304 | - $s13 -= $carry13 << 21; |
|
| 3305 | - // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; |
|
| 3306 | - // s16 += carry15; |
|
| 3307 | - // s15 -= carry15 * ((uint64_t) 1L << 21); |
|
| 3308 | - $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 3309 | - $s16 += $carry15; |
|
| 3310 | - $s15 -= $carry15 << 21; |
|
| 3311 | - |
|
| 3312 | - // s5 += s17 * 666643; |
|
| 3313 | - // s6 += s17 * 470296; |
|
| 3314 | - // s7 += s17 * 654183; |
|
| 3315 | - // s8 -= s17 * 997805; |
|
| 3316 | - // s9 += s17 * 136657; |
|
| 3317 | - // s10 -= s17 * 683901; |
|
| 3318 | - $s5 += self::mul($s17, 666643, 20); |
|
| 3319 | - $s6 += self::mul($s17, 470296, 19); |
|
| 3320 | - $s7 += self::mul($s17, 654183, 20); |
|
| 3321 | - $s8 -= self::mul($s17, 997805, 20); |
|
| 3322 | - $s9 += self::mul($s17, 136657, 18); |
|
| 3323 | - $s10 -= self::mul($s17, 683901, 20); |
|
| 3324 | - |
|
| 3325 | - // s4 += s16 * 666643; |
|
| 3326 | - // s5 += s16 * 470296; |
|
| 3327 | - // s6 += s16 * 654183; |
|
| 3328 | - // s7 -= s16 * 997805; |
|
| 3329 | - // s8 += s16 * 136657; |
|
| 3330 | - // s9 -= s16 * 683901; |
|
| 3331 | - $s4 += self::mul($s16, 666643, 20); |
|
| 3332 | - $s5 += self::mul($s16, 470296, 19); |
|
| 3333 | - $s6 += self::mul($s16, 654183, 20); |
|
| 3334 | - $s7 -= self::mul($s16, 997805, 20); |
|
| 3335 | - $s8 += self::mul($s16, 136657, 18); |
|
| 3336 | - $s9 -= self::mul($s16, 683901, 20); |
|
| 3337 | - |
|
| 3338 | - // s3 += s15 * 666643; |
|
| 3339 | - // s4 += s15 * 470296; |
|
| 3340 | - // s5 += s15 * 654183; |
|
| 3341 | - // s6 -= s15 * 997805; |
|
| 3342 | - // s7 += s15 * 136657; |
|
| 3343 | - // s8 -= s15 * 683901; |
|
| 3344 | - $s3 += self::mul($s15, 666643, 20); |
|
| 3345 | - $s4 += self::mul($s15, 470296, 19); |
|
| 3346 | - $s5 += self::mul($s15, 654183, 20); |
|
| 3347 | - $s6 -= self::mul($s15, 997805, 20); |
|
| 3348 | - $s7 += self::mul($s15, 136657, 18); |
|
| 3349 | - $s8 -= self::mul($s15, 683901, 20); |
|
| 3350 | - |
|
| 3351 | - // s2 += s14 * 666643; |
|
| 3352 | - // s3 += s14 * 470296; |
|
| 3353 | - // s4 += s14 * 654183; |
|
| 3354 | - // s5 -= s14 * 997805; |
|
| 3355 | - // s6 += s14 * 136657; |
|
| 3356 | - // s7 -= s14 * 683901; |
|
| 3357 | - $s2 += self::mul($s14, 666643, 20); |
|
| 3358 | - $s3 += self::mul($s14, 470296, 19); |
|
| 3359 | - $s4 += self::mul($s14, 654183, 20); |
|
| 3360 | - $s5 -= self::mul($s14, 997805, 20); |
|
| 3361 | - $s6 += self::mul($s14, 136657, 18); |
|
| 3362 | - $s7 -= self::mul($s14, 683901, 20); |
|
| 3363 | - |
|
| 3364 | - // s1 += s13 * 666643; |
|
| 3365 | - // s2 += s13 * 470296; |
|
| 3366 | - // s3 += s13 * 654183; |
|
| 3367 | - // s4 -= s13 * 997805; |
|
| 3368 | - // s5 += s13 * 136657; |
|
| 3369 | - // s6 -= s13 * 683901; |
|
| 3370 | - $s1 += self::mul($s13, 666643, 20); |
|
| 3371 | - $s2 += self::mul($s13, 470296, 19); |
|
| 3372 | - $s3 += self::mul($s13, 654183, 20); |
|
| 3373 | - $s4 -= self::mul($s13, 997805, 20); |
|
| 3374 | - $s5 += self::mul($s13, 136657, 18); |
|
| 3375 | - $s6 -= self::mul($s13, 683901, 20); |
|
| 3376 | - |
|
| 3377 | - // s0 += s12 * 666643; |
|
| 3378 | - // s1 += s12 * 470296; |
|
| 3379 | - // s2 += s12 * 654183; |
|
| 3380 | - // s3 -= s12 * 997805; |
|
| 3381 | - // s4 += s12 * 136657; |
|
| 3382 | - // s5 -= s12 * 683901; |
|
| 3383 | - // s12 = 0; |
|
| 3384 | - $s0 += self::mul($s12, 666643, 20); |
|
| 3385 | - $s1 += self::mul($s12, 470296, 19); |
|
| 3386 | - $s2 += self::mul($s12, 654183, 20); |
|
| 3387 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 3388 | - $s4 += self::mul($s12, 136657, 18); |
|
| 3389 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 3390 | - $s12 = 0; |
|
| 3391 | - |
|
| 3392 | - // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; |
|
| 3393 | - // s1 += carry0; |
|
| 3394 | - // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3395 | - $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 3396 | - $s1 += $carry0; |
|
| 3397 | - $s0 -= $carry0 << 21; |
|
| 3398 | - // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; |
|
| 3399 | - // s3 += carry2; |
|
| 3400 | - // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3401 | - $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 3402 | - $s3 += $carry2; |
|
| 3403 | - $s2 -= $carry2 << 21; |
|
| 3404 | - // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; |
|
| 3405 | - // s5 += carry4; |
|
| 3406 | - // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3407 | - $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 3408 | - $s5 += $carry4; |
|
| 3409 | - $s4 -= $carry4 << 21; |
|
| 3410 | - // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3411 | - // s7 += carry6; |
|
| 3412 | - // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3413 | - $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3414 | - $s7 += $carry6; |
|
| 3415 | - $s6 -= $carry6 << 21; |
|
| 3416 | - // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3417 | - // s9 += carry8; |
|
| 3418 | - // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3419 | - $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3420 | - $s9 += $carry8; |
|
| 3421 | - $s8 -= $carry8 << 21; |
|
| 3422 | - // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3423 | - // s11 += carry10; |
|
| 3424 | - // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3425 | - $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3426 | - $s11 += $carry10; |
|
| 3427 | - $s10 -= $carry10 << 21; |
|
| 3428 | - |
|
| 3429 | - // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; |
|
| 3430 | - // s2 += carry1; |
|
| 3431 | - // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3432 | - $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 3433 | - $s2 += $carry1; |
|
| 3434 | - $s1 -= $carry1 << 21; |
|
| 3435 | - // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; |
|
| 3436 | - // s4 += carry3; |
|
| 3437 | - // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3438 | - $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 3439 | - $s4 += $carry3; |
|
| 3440 | - $s3 -= $carry3 << 21; |
|
| 3441 | - // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; |
|
| 3442 | - // s6 += carry5; |
|
| 3443 | - // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3444 | - $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 3445 | - $s6 += $carry5; |
|
| 3446 | - $s5 -= $carry5 << 21; |
|
| 3447 | - // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3448 | - // s8 += carry7; |
|
| 3449 | - // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3450 | - $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3451 | - $s8 += $carry7; |
|
| 3452 | - $s7 -= $carry7 << 21; |
|
| 3453 | - // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3454 | - // s10 += carry9; |
|
| 3455 | - // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3456 | - $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3457 | - $s10 += $carry9; |
|
| 3458 | - $s9 -= $carry9 << 21; |
|
| 3459 | - // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3460 | - // s12 += carry11; |
|
| 3461 | - // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3462 | - $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3463 | - $s12 += $carry11; |
|
| 3464 | - $s11 -= $carry11 << 21; |
|
| 3465 | - |
|
| 3466 | - // s0 += s12 * 666643; |
|
| 3467 | - // s1 += s12 * 470296; |
|
| 3468 | - // s2 += s12 * 654183; |
|
| 3469 | - // s3 -= s12 * 997805; |
|
| 3470 | - // s4 += s12 * 136657; |
|
| 3471 | - // s5 -= s12 * 683901; |
|
| 3472 | - // s12 = 0; |
|
| 3473 | - $s0 += self::mul($s12, 666643, 20); |
|
| 3474 | - $s1 += self::mul($s12, 470296, 19); |
|
| 3475 | - $s2 += self::mul($s12, 654183, 20); |
|
| 3476 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 3477 | - $s4 += self::mul($s12, 136657, 18); |
|
| 3478 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 3479 | - $s12 = 0; |
|
| 3480 | - |
|
| 3481 | - // carry0 = s0 >> 21; |
|
| 3482 | - // s1 += carry0; |
|
| 3483 | - // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3484 | - $carry0 = $s0 >> 21; |
|
| 3485 | - $s1 += $carry0; |
|
| 3486 | - $s0 -= $carry0 << 21; |
|
| 3487 | - // carry1 = s1 >> 21; |
|
| 3488 | - // s2 += carry1; |
|
| 3489 | - // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3490 | - $carry1 = $s1 >> 21; |
|
| 3491 | - $s2 += $carry1; |
|
| 3492 | - $s1 -= $carry1 << 21; |
|
| 3493 | - // carry2 = s2 >> 21; |
|
| 3494 | - // s3 += carry2; |
|
| 3495 | - // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3496 | - $carry2 = $s2 >> 21; |
|
| 3497 | - $s3 += $carry2; |
|
| 3498 | - $s2 -= $carry2 << 21; |
|
| 3499 | - // carry3 = s3 >> 21; |
|
| 3500 | - // s4 += carry3; |
|
| 3501 | - // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3502 | - $carry3 = $s3 >> 21; |
|
| 3503 | - $s4 += $carry3; |
|
| 3504 | - $s3 -= $carry3 << 21; |
|
| 3505 | - // carry4 = s4 >> 21; |
|
| 3506 | - // s5 += carry4; |
|
| 3507 | - // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3508 | - $carry4 = $s4 >> 21; |
|
| 3509 | - $s5 += $carry4; |
|
| 3510 | - $s4 -= $carry4 << 21; |
|
| 3511 | - // carry5 = s5 >> 21; |
|
| 3512 | - // s6 += carry5; |
|
| 3513 | - // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3514 | - $carry5 = $s5 >> 21; |
|
| 3515 | - $s6 += $carry5; |
|
| 3516 | - $s5 -= $carry5 << 21; |
|
| 3517 | - // carry6 = s6 >> 21; |
|
| 3518 | - // s7 += carry6; |
|
| 3519 | - // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3520 | - $carry6 = $s6 >> 21; |
|
| 3521 | - $s7 += $carry6; |
|
| 3522 | - $s6 -= $carry6 << 21; |
|
| 3523 | - // carry7 = s7 >> 21; |
|
| 3524 | - // s8 += carry7; |
|
| 3525 | - // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3526 | - $carry7 = $s7 >> 21; |
|
| 3527 | - $s8 += $carry7; |
|
| 3528 | - $s7 -= $carry7 << 21; |
|
| 3529 | - // carry8 = s8 >> 21; |
|
| 3530 | - // s9 += carry8; |
|
| 3531 | - // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3532 | - $carry8 = $s8 >> 21; |
|
| 3533 | - $s9 += $carry8; |
|
| 3534 | - $s8 -= $carry8 << 21; |
|
| 3535 | - // carry9 = s9 >> 21; |
|
| 3536 | - // s10 += carry9; |
|
| 3537 | - // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3538 | - $carry9 = $s9 >> 21; |
|
| 3539 | - $s10 += $carry9; |
|
| 3540 | - $s9 -= $carry9 << 21; |
|
| 3541 | - // carry10 = s10 >> 21; |
|
| 3542 | - // s11 += carry10; |
|
| 3543 | - // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3544 | - $carry10 = $s10 >> 21; |
|
| 3545 | - $s11 += $carry10; |
|
| 3546 | - $s10 -= $carry10 << 21; |
|
| 3547 | - // carry11 = s11 >> 21; |
|
| 3548 | - // s12 += carry11; |
|
| 3549 | - // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3550 | - $carry11 = $s11 >> 21; |
|
| 3551 | - $s12 += $carry11; |
|
| 3552 | - $s11 -= $carry11 << 21; |
|
| 3553 | - |
|
| 3554 | - // s0 += s12 * 666643; |
|
| 3555 | - // s1 += s12 * 470296; |
|
| 3556 | - // s2 += s12 * 654183; |
|
| 3557 | - // s3 -= s12 * 997805; |
|
| 3558 | - // s4 += s12 * 136657; |
|
| 3559 | - // s5 -= s12 * 683901; |
|
| 3560 | - $s0 += self::mul($s12, 666643, 20); |
|
| 3561 | - $s1 += self::mul($s12, 470296, 19); |
|
| 3562 | - $s2 += self::mul($s12, 654183, 20); |
|
| 3563 | - $s3 -= self::mul($s12, 997805, 20); |
|
| 3564 | - $s4 += self::mul($s12, 136657, 18); |
|
| 3565 | - $s5 -= self::mul($s12, 683901, 20); |
|
| 3566 | - |
|
| 3567 | - // carry0 = s0 >> 21; |
|
| 3568 | - // s1 += carry0; |
|
| 3569 | - // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3570 | - $carry0 = $s0 >> 21; |
|
| 3571 | - $s1 += $carry0; |
|
| 3572 | - $s0 -= $carry0 << 21; |
|
| 3573 | - // carry1 = s1 >> 21; |
|
| 3574 | - // s2 += carry1; |
|
| 3575 | - // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3576 | - $carry1 = $s1 >> 21; |
|
| 3577 | - $s2 += $carry1; |
|
| 3578 | - $s1 -= $carry1 << 21; |
|
| 3579 | - // carry2 = s2 >> 21; |
|
| 3580 | - // s3 += carry2; |
|
| 3581 | - // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3582 | - $carry2 = $s2 >> 21; |
|
| 3583 | - $s3 += $carry2; |
|
| 3584 | - $s2 -= $carry2 << 21; |
|
| 3585 | - // carry3 = s3 >> 21; |
|
| 3586 | - // s4 += carry3; |
|
| 3587 | - // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3588 | - $carry3 = $s3 >> 21; |
|
| 3589 | - $s4 += $carry3; |
|
| 3590 | - $s3 -= $carry3 << 21; |
|
| 3591 | - // carry4 = s4 >> 21; |
|
| 3592 | - // s5 += carry4; |
|
| 3593 | - // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3594 | - $carry4 = $s4 >> 21; |
|
| 3595 | - $s5 += $carry4; |
|
| 3596 | - $s4 -= $carry4 << 21; |
|
| 3597 | - // carry5 = s5 >> 21; |
|
| 3598 | - // s6 += carry5; |
|
| 3599 | - // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3600 | - $carry5 = $s5 >> 21; |
|
| 3601 | - $s6 += $carry5; |
|
| 3602 | - $s5 -= $carry5 << 21; |
|
| 3603 | - // carry6 = s6 >> 21; |
|
| 3604 | - // s7 += carry6; |
|
| 3605 | - // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3606 | - $carry6 = $s6 >> 21; |
|
| 3607 | - $s7 += $carry6; |
|
| 3608 | - $s6 -= $carry6 << 21; |
|
| 3609 | - // carry7 = s7 >> 21; |
|
| 3610 | - // s8 += carry7; |
|
| 3611 | - // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3612 | - $carry7 = $s7 >> 21; |
|
| 3613 | - $s8 += $carry7; |
|
| 3614 | - $s7 -= $carry7 << 21; |
|
| 3615 | - // carry8 = s8 >> 21; |
|
| 3616 | - // s9 += carry8; |
|
| 3617 | - // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3618 | - $carry8 = $s8 >> 21; |
|
| 3619 | - $s9 += $carry8; |
|
| 3620 | - $s8 -= $carry8 << 21; |
|
| 3621 | - // carry9 = s9 >> 21; |
|
| 3622 | - // s10 += carry9; |
|
| 3623 | - // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3624 | - $carry9 = $s9 >> 21; |
|
| 3625 | - $s10 += $carry9; |
|
| 3626 | - $s9 -= $carry9 << 21; |
|
| 3627 | - // carry10 = s10 >> 21; |
|
| 3628 | - // s11 += carry10; |
|
| 3629 | - // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3630 | - $carry10 = $s10 >> 21; |
|
| 3631 | - $s11 += $carry10; |
|
| 3632 | - $s10 -= $carry10 << 21; |
|
| 3633 | - |
|
| 3634 | - $s = array_fill(0, 32, 0); |
|
| 3635 | - // s[0] = s0 >> 0; |
|
| 3636 | - $s[0] = $s0 >> 0; |
|
| 3637 | - // s[1] = s0 >> 8; |
|
| 3638 | - $s[1] = $s0 >> 8; |
|
| 3639 | - // s[2] = (s0 >> 16) | (s1 * ((uint64_t) 1 << 5)); |
|
| 3640 | - $s[2] = ($s0 >> 16) | ($s1 << 5); |
|
| 3641 | - // s[3] = s1 >> 3; |
|
| 3642 | - $s[3] = $s1 >> 3; |
|
| 3643 | - // s[4] = s1 >> 11; |
|
| 3644 | - $s[4] = $s1 >> 11; |
|
| 3645 | - // s[5] = (s1 >> 19) | (s2 * ((uint64_t) 1 << 2)); |
|
| 3646 | - $s[5] = ($s1 >> 19) | ($s2 << 2); |
|
| 3647 | - // s[6] = s2 >> 6; |
|
| 3648 | - $s[6] = $s2 >> 6; |
|
| 3649 | - // s[7] = (s2 >> 14) | (s3 * ((uint64_t) 1 << 7)); |
|
| 3650 | - $s[7] = ($s2 >> 14) | ($s3 << 7); |
|
| 3651 | - // s[8] = s3 >> 1; |
|
| 3652 | - $s[8] = $s3 >> 1; |
|
| 3653 | - // s[9] = s3 >> 9; |
|
| 3654 | - $s[9] = $s3 >> 9; |
|
| 3655 | - // s[10] = (s3 >> 17) | (s4 * ((uint64_t) 1 << 4)); |
|
| 3656 | - $s[10] = ($s3 >> 17) | ($s4 << 4); |
|
| 3657 | - // s[11] = s4 >> 4; |
|
| 3658 | - $s[11] = $s4 >> 4; |
|
| 3659 | - // s[12] = s4 >> 12; |
|
| 3660 | - $s[12] = $s4 >> 12; |
|
| 3661 | - // s[13] = (s4 >> 20) | (s5 * ((uint64_t) 1 << 1)); |
|
| 3662 | - $s[13] = ($s4 >> 20) | ($s5 << 1); |
|
| 3663 | - // s[14] = s5 >> 7; |
|
| 3664 | - $s[14] = $s5 >> 7; |
|
| 3665 | - // s[15] = (s5 >> 15) | (s6 * ((uint64_t) 1 << 6)); |
|
| 3666 | - $s[15] = ($s5 >> 15) | ($s6 << 6); |
|
| 3667 | - // s[16] = s6 >> 2; |
|
| 3668 | - $s[16] = $s6 >> 2; |
|
| 3669 | - // s[17] = s6 >> 10; |
|
| 3670 | - $s[17] = $s6 >> 10; |
|
| 3671 | - // s[18] = (s6 >> 18) | (s7 * ((uint64_t) 1 << 3)); |
|
| 3672 | - $s[18] = ($s6 >> 18) | ($s7 << 3); |
|
| 3673 | - // s[19] = s7 >> 5; |
|
| 3674 | - $s[19] = $s7 >> 5; |
|
| 3675 | - // s[20] = s7 >> 13; |
|
| 3676 | - $s[20] = $s7 >> 13; |
|
| 3677 | - // s[21] = s8 >> 0; |
|
| 3678 | - $s[21] = $s8 >> 0; |
|
| 3679 | - // s[22] = s8 >> 8; |
|
| 3680 | - $s[22] = $s8 >> 8; |
|
| 3681 | - // s[23] = (s8 >> 16) | (s9 * ((uint64_t) 1 << 5)); |
|
| 3682 | - $s[23] = ($s8 >> 16) | ($s9 << 5); |
|
| 3683 | - // s[24] = s9 >> 3; |
|
| 3684 | - $s[24] = $s9 >> 3; |
|
| 3685 | - // s[25] = s9 >> 11; |
|
| 3686 | - $s[25] = $s9 >> 11; |
|
| 3687 | - // s[26] = (s9 >> 19) | (s10 * ((uint64_t) 1 << 2)); |
|
| 3688 | - $s[26] = ($s9 >> 19) | ($s10 << 2); |
|
| 3689 | - // s[27] = s10 >> 6; |
|
| 3690 | - $s[27] = $s10 >> 6; |
|
| 3691 | - // s[28] = (s10 >> 14) | (s11 * ((uint64_t) 1 << 7)); |
|
| 3692 | - $s[28] = ($s10 >> 14) | ($s11 << 7); |
|
| 3693 | - // s[29] = s11 >> 1; |
|
| 3694 | - $s[29] = $s11 >> 1; |
|
| 3695 | - // s[30] = s11 >> 9; |
|
| 3696 | - $s[30] = $s11 >> 9; |
|
| 3697 | - // s[31] = s11 >> 17; |
|
| 3698 | - $s[31] = $s11 >> 17; |
|
| 3699 | - return self::intArrayToString($s); |
|
| 3700 | - } |
|
| 3701 | - |
|
| 3702 | - /** |
|
| 3703 | - * @param string $s |
|
| 3704 | - * @return string |
|
| 3705 | - */ |
|
| 3706 | - public static function sc25519_sq($s) |
|
| 3707 | - { |
|
| 3708 | - return self::sc25519_mul($s, $s); |
|
| 3709 | - } |
|
| 3710 | - |
|
| 3711 | - /** |
|
| 3712 | - * @param string $s |
|
| 3713 | - * @param int $n |
|
| 3714 | - * @param string $a |
|
| 3715 | - * @return string |
|
| 3716 | - */ |
|
| 3717 | - public static function sc25519_sqmul($s, $n, $a) |
|
| 3718 | - { |
|
| 3719 | - for ($i = 0; $i < $n; ++$i) { |
|
| 3720 | - $s = self::sc25519_sq($s); |
|
| 3721 | - } |
|
| 3722 | - return self::sc25519_mul($s, $a); |
|
| 3723 | - } |
|
| 3724 | - |
|
| 3725 | - /** |
|
| 3726 | - * @param string $s |
|
| 3727 | - * @return string |
|
| 3728 | - */ |
|
| 3729 | - public static function sc25519_invert($s) |
|
| 3730 | - { |
|
| 3731 | - $_10 = self::sc25519_sq($s); |
|
| 3732 | - $_11 = self::sc25519_mul($s, $_10); |
|
| 3733 | - $_100 = self::sc25519_mul($s, $_11); |
|
| 3734 | - $_1000 = self::sc25519_sq($_100); |
|
| 3735 | - $_1010 = self::sc25519_mul($_10, $_1000); |
|
| 3736 | - $_1011 = self::sc25519_mul($s, $_1010); |
|
| 3737 | - $_10000 = self::sc25519_sq($_1000); |
|
| 3738 | - $_10110 = self::sc25519_sq($_1011); |
|
| 3739 | - $_100000 = self::sc25519_mul($_1010, $_10110); |
|
| 3740 | - $_100110 = self::sc25519_mul($_10000, $_10110); |
|
| 3741 | - $_1000000 = self::sc25519_sq($_100000); |
|
| 3742 | - $_1010000 = self::sc25519_mul($_10000, $_1000000); |
|
| 3743 | - $_1010011 = self::sc25519_mul($_11, $_1010000); |
|
| 3744 | - $_1100011 = self::sc25519_mul($_10000, $_1010011); |
|
| 3745 | - $_1100111 = self::sc25519_mul($_100, $_1100011); |
|
| 3746 | - $_1101011 = self::sc25519_mul($_100, $_1100111); |
|
| 3747 | - $_10010011 = self::sc25519_mul($_1000000, $_1010011); |
|
| 3748 | - $_10010111 = self::sc25519_mul($_100, $_10010011); |
|
| 3749 | - $_10111101 = self::sc25519_mul($_100110, $_10010111); |
|
| 3750 | - $_11010011 = self::sc25519_mul($_10110, $_10111101); |
|
| 3751 | - $_11100111 = self::sc25519_mul($_1010000, $_10010111); |
|
| 3752 | - $_11101011 = self::sc25519_mul($_100, $_11100111); |
|
| 3753 | - $_11110101 = self::sc25519_mul($_1010, $_11101011); |
|
| 3754 | - |
|
| 3755 | - $recip = self::sc25519_mul($_1011, $_11110101); |
|
| 3756 | - $recip = self::sc25519_sqmul($recip, 126, $_1010011); |
|
| 3757 | - $recip = self::sc25519_sqmul($recip, 9, $_10); |
|
| 3758 | - $recip = self::sc25519_mul($recip, $_11110101); |
|
| 3759 | - $recip = self::sc25519_sqmul($recip, 7, $_1100111); |
|
| 3760 | - $recip = self::sc25519_sqmul($recip, 9, $_11110101); |
|
| 3761 | - $recip = self::sc25519_sqmul($recip, 11, $_10111101); |
|
| 3762 | - $recip = self::sc25519_sqmul($recip, 8, $_11100111); |
|
| 3763 | - $recip = self::sc25519_sqmul($recip, 9, $_1101011); |
|
| 3764 | - $recip = self::sc25519_sqmul($recip, 6, $_1011); |
|
| 3765 | - $recip = self::sc25519_sqmul($recip, 14, $_10010011); |
|
| 3766 | - $recip = self::sc25519_sqmul($recip, 10, $_1100011); |
|
| 3767 | - $recip = self::sc25519_sqmul($recip, 9, $_10010111); |
|
| 3768 | - $recip = self::sc25519_sqmul($recip, 10, $_11110101); |
|
| 3769 | - $recip = self::sc25519_sqmul($recip, 8, $_11010011); |
|
| 3770 | - return self::sc25519_sqmul($recip, 8, $_11101011); |
|
| 3771 | - } |
|
| 3772 | - |
|
| 3773 | - /** |
|
| 3774 | - * @param string $s |
|
| 3775 | - * @return string |
|
| 3776 | - */ |
|
| 3777 | - public static function clamp($s) |
|
| 3778 | - { |
|
| 3779 | - $s_ = self::stringToIntArray($s); |
|
| 3780 | - $s_[0] &= 248; |
|
| 3781 | - $s_[31] |= 64; |
|
| 3782 | - $s_[31] &= 128; |
|
| 3783 | - return self::intArrayToString($s_); |
|
| 3784 | - } |
|
| 18 | + /** |
|
| 19 | + * Get a field element of size 10 with a value of 0 |
|
| 20 | + * |
|
| 21 | + * @internal You should not use this directly from another application |
|
| 22 | + * |
|
| 23 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 24 | + */ |
|
| 25 | + public static function fe_0() |
|
| 26 | + { |
|
| 27 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 28 | + array(0, 0, 0, 0, 0, 0, 0, 0, 0, 0) |
|
| 29 | + ); |
|
| 30 | + } |
|
| 31 | + |
|
| 32 | + /** |
|
| 33 | + * Get a field element of size 10 with a value of 1 |
|
| 34 | + * |
|
| 35 | + * @internal You should not use this directly from another application |
|
| 36 | + * |
|
| 37 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 38 | + */ |
|
| 39 | + public static function fe_1() |
|
| 40 | + { |
|
| 41 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 42 | + array(1, 0, 0, 0, 0, 0, 0, 0, 0, 0) |
|
| 43 | + ); |
|
| 44 | + } |
|
| 45 | + |
|
| 46 | + /** |
|
| 47 | + * Add two field elements. |
|
| 48 | + * |
|
| 49 | + * @internal You should not use this directly from another application |
|
| 50 | + * |
|
| 51 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 52 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 53 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 54 | + * @psalm-suppress MixedAssignment |
|
| 55 | + * @psalm-suppress MixedOperand |
|
| 56 | + */ |
|
| 57 | + public static function fe_add( |
|
| 58 | + ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 59 | + ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 60 | + ) { |
|
| 61 | + /** @var array<int, int> $arr */ |
|
| 62 | + $arr = array(); |
|
| 63 | + for ($i = 0; $i < 10; ++$i) { |
|
| 64 | + $arr[$i] = (int) ($f[$i] + $g[$i]); |
|
| 65 | + } |
|
| 66 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($arr); |
|
| 67 | + } |
|
| 68 | + |
|
| 69 | + /** |
|
| 70 | + * Constant-time conditional move. |
|
| 71 | + * |
|
| 72 | + * @internal You should not use this directly from another application |
|
| 73 | + * |
|
| 74 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 75 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 76 | + * @param int $b |
|
| 77 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 78 | + * @psalm-suppress MixedAssignment |
|
| 79 | + */ |
|
| 80 | + public static function fe_cmov( |
|
| 81 | + ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 82 | + ParagonIE_Sodium_Core_Curve25519_Fe $g, |
|
| 83 | + $b = 0 |
|
| 84 | + ) { |
|
| 85 | + /** @var array<int, int> $h */ |
|
| 86 | + $h = array(); |
|
| 87 | + $b *= -1; |
|
| 88 | + for ($i = 0; $i < 10; ++$i) { |
|
| 89 | + $x = (($f[$i] ^ $g[$i]) & $b); |
|
| 90 | + $h[$i] = ($f[$i]) ^ $x; |
|
| 91 | + } |
|
| 92 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h); |
|
| 93 | + } |
|
| 94 | + |
|
| 95 | + /** |
|
| 96 | + * Create a copy of a field element. |
|
| 97 | + * |
|
| 98 | + * @internal You should not use this directly from another application |
|
| 99 | + * |
|
| 100 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 101 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 102 | + */ |
|
| 103 | + public static function fe_copy(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 104 | + { |
|
| 105 | + $h = clone $f; |
|
| 106 | + return $h; |
|
| 107 | + } |
|
| 108 | + |
|
| 109 | + /** |
|
| 110 | + * Give: 32-byte string. |
|
| 111 | + * Receive: A field element object to use for internal calculations. |
|
| 112 | + * |
|
| 113 | + * @internal You should not use this directly from another application |
|
| 114 | + * |
|
| 115 | + * @param string $s |
|
| 116 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 117 | + * @throws RangeException |
|
| 118 | + * @throws TypeError |
|
| 119 | + */ |
|
| 120 | + public static function fe_frombytes($s) |
|
| 121 | + { |
|
| 122 | + if (self::strlen($s) !== 32) { |
|
| 123 | + throw new RangeException('Expected a 32-byte string.'); |
|
| 124 | + } |
|
| 125 | + $h0 = self::load_4($s); |
|
| 126 | + $h1 = self::load_3(self::substr($s, 4, 3)) << 6; |
|
| 127 | + $h2 = self::load_3(self::substr($s, 7, 3)) << 5; |
|
| 128 | + $h3 = self::load_3(self::substr($s, 10, 3)) << 3; |
|
| 129 | + $h4 = self::load_3(self::substr($s, 13, 3)) << 2; |
|
| 130 | + $h5 = self::load_4(self::substr($s, 16, 4)); |
|
| 131 | + $h6 = self::load_3(self::substr($s, 20, 3)) << 7; |
|
| 132 | + $h7 = self::load_3(self::substr($s, 23, 3)) << 5; |
|
| 133 | + $h8 = self::load_3(self::substr($s, 26, 3)) << 4; |
|
| 134 | + $h9 = (self::load_3(self::substr($s, 29, 3)) & 8388607) << 2; |
|
| 135 | + |
|
| 136 | + $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 137 | + $h0 += self::mul($carry9, 19, 5); |
|
| 138 | + $h9 -= $carry9 << 25; |
|
| 139 | + $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 140 | + $h2 += $carry1; |
|
| 141 | + $h1 -= $carry1 << 25; |
|
| 142 | + $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 143 | + $h4 += $carry3; |
|
| 144 | + $h3 -= $carry3 << 25; |
|
| 145 | + $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 146 | + $h6 += $carry5; |
|
| 147 | + $h5 -= $carry5 << 25; |
|
| 148 | + $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 149 | + $h8 += $carry7; |
|
| 150 | + $h7 -= $carry7 << 25; |
|
| 151 | + |
|
| 152 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 153 | + $h1 += $carry0; |
|
| 154 | + $h0 -= $carry0 << 26; |
|
| 155 | + $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 156 | + $h3 += $carry2; |
|
| 157 | + $h2 -= $carry2 << 26; |
|
| 158 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 159 | + $h5 += $carry4; |
|
| 160 | + $h4 -= $carry4 << 26; |
|
| 161 | + $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 162 | + $h7 += $carry6; |
|
| 163 | + $h6 -= $carry6 << 26; |
|
| 164 | + $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 165 | + $h9 += $carry8; |
|
| 166 | + $h8 -= $carry8 << 26; |
|
| 167 | + |
|
| 168 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 169 | + array( |
|
| 170 | + (int) $h0, |
|
| 171 | + (int) $h1, |
|
| 172 | + (int) $h2, |
|
| 173 | + (int) $h3, |
|
| 174 | + (int) $h4, |
|
| 175 | + (int) $h5, |
|
| 176 | + (int) $h6, |
|
| 177 | + (int) $h7, |
|
| 178 | + (int) $h8, |
|
| 179 | + (int) $h9 |
|
| 180 | + ) |
|
| 181 | + ); |
|
| 182 | + } |
|
| 183 | + |
|
| 184 | + /** |
|
| 185 | + * Convert a field element to a byte string. |
|
| 186 | + * |
|
| 187 | + * @internal You should not use this directly from another application |
|
| 188 | + * |
|
| 189 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $h |
|
| 190 | + * @return string |
|
| 191 | + */ |
|
| 192 | + public static function fe_tobytes(ParagonIE_Sodium_Core_Curve25519_Fe $h) |
|
| 193 | + { |
|
| 194 | + $h0 = (int) $h[0]; |
|
| 195 | + $h1 = (int) $h[1]; |
|
| 196 | + $h2 = (int) $h[2]; |
|
| 197 | + $h3 = (int) $h[3]; |
|
| 198 | + $h4 = (int) $h[4]; |
|
| 199 | + $h5 = (int) $h[5]; |
|
| 200 | + $h6 = (int) $h[6]; |
|
| 201 | + $h7 = (int) $h[7]; |
|
| 202 | + $h8 = (int) $h[8]; |
|
| 203 | + $h9 = (int) $h[9]; |
|
| 204 | + |
|
| 205 | + $q = (self::mul($h9, 19, 5) + (1 << 24)) >> 25; |
|
| 206 | + $q = ($h0 + $q) >> 26; |
|
| 207 | + $q = ($h1 + $q) >> 25; |
|
| 208 | + $q = ($h2 + $q) >> 26; |
|
| 209 | + $q = ($h3 + $q) >> 25; |
|
| 210 | + $q = ($h4 + $q) >> 26; |
|
| 211 | + $q = ($h5 + $q) >> 25; |
|
| 212 | + $q = ($h6 + $q) >> 26; |
|
| 213 | + $q = ($h7 + $q) >> 25; |
|
| 214 | + $q = ($h8 + $q) >> 26; |
|
| 215 | + $q = ($h9 + $q) >> 25; |
|
| 216 | + |
|
| 217 | + $h0 += self::mul($q, 19, 5); |
|
| 218 | + |
|
| 219 | + $carry0 = $h0 >> 26; |
|
| 220 | + $h1 += $carry0; |
|
| 221 | + $h0 -= $carry0 << 26; |
|
| 222 | + $carry1 = $h1 >> 25; |
|
| 223 | + $h2 += $carry1; |
|
| 224 | + $h1 -= $carry1 << 25; |
|
| 225 | + $carry2 = $h2 >> 26; |
|
| 226 | + $h3 += $carry2; |
|
| 227 | + $h2 -= $carry2 << 26; |
|
| 228 | + $carry3 = $h3 >> 25; |
|
| 229 | + $h4 += $carry3; |
|
| 230 | + $h3 -= $carry3 << 25; |
|
| 231 | + $carry4 = $h4 >> 26; |
|
| 232 | + $h5 += $carry4; |
|
| 233 | + $h4 -= $carry4 << 26; |
|
| 234 | + $carry5 = $h5 >> 25; |
|
| 235 | + $h6 += $carry5; |
|
| 236 | + $h5 -= $carry5 << 25; |
|
| 237 | + $carry6 = $h6 >> 26; |
|
| 238 | + $h7 += $carry6; |
|
| 239 | + $h6 -= $carry6 << 26; |
|
| 240 | + $carry7 = $h7 >> 25; |
|
| 241 | + $h8 += $carry7; |
|
| 242 | + $h7 -= $carry7 << 25; |
|
| 243 | + $carry8 = $h8 >> 26; |
|
| 244 | + $h9 += $carry8; |
|
| 245 | + $h8 -= $carry8 << 26; |
|
| 246 | + $carry9 = $h9 >> 25; |
|
| 247 | + $h9 -= $carry9 << 25; |
|
| 248 | + |
|
| 249 | + /** |
|
| 250 | + * @var array<int, int> |
|
| 251 | + */ |
|
| 252 | + $s = array( |
|
| 253 | + (int) (($h0 >> 0) & 0xff), |
|
| 254 | + (int) (($h0 >> 8) & 0xff), |
|
| 255 | + (int) (($h0 >> 16) & 0xff), |
|
| 256 | + (int) ((($h0 >> 24) | ($h1 << 2)) & 0xff), |
|
| 257 | + (int) (($h1 >> 6) & 0xff), |
|
| 258 | + (int) (($h1 >> 14) & 0xff), |
|
| 259 | + (int) ((($h1 >> 22) | ($h2 << 3)) & 0xff), |
|
| 260 | + (int) (($h2 >> 5) & 0xff), |
|
| 261 | + (int) (($h2 >> 13) & 0xff), |
|
| 262 | + (int) ((($h2 >> 21) | ($h3 << 5)) & 0xff), |
|
| 263 | + (int) (($h3 >> 3) & 0xff), |
|
| 264 | + (int) (($h3 >> 11) & 0xff), |
|
| 265 | + (int) ((($h3 >> 19) | ($h4 << 6)) & 0xff), |
|
| 266 | + (int) (($h4 >> 2) & 0xff), |
|
| 267 | + (int) (($h4 >> 10) & 0xff), |
|
| 268 | + (int) (($h4 >> 18) & 0xff), |
|
| 269 | + (int) (($h5 >> 0) & 0xff), |
|
| 270 | + (int) (($h5 >> 8) & 0xff), |
|
| 271 | + (int) (($h5 >> 16) & 0xff), |
|
| 272 | + (int) ((($h5 >> 24) | ($h6 << 1)) & 0xff), |
|
| 273 | + (int) (($h6 >> 7) & 0xff), |
|
| 274 | + (int) (($h6 >> 15) & 0xff), |
|
| 275 | + (int) ((($h6 >> 23) | ($h7 << 3)) & 0xff), |
|
| 276 | + (int) (($h7 >> 5) & 0xff), |
|
| 277 | + (int) (($h7 >> 13) & 0xff), |
|
| 278 | + (int) ((($h7 >> 21) | ($h8 << 4)) & 0xff), |
|
| 279 | + (int) (($h8 >> 4) & 0xff), |
|
| 280 | + (int) (($h8 >> 12) & 0xff), |
|
| 281 | + (int) ((($h8 >> 20) | ($h9 << 6)) & 0xff), |
|
| 282 | + (int) (($h9 >> 2) & 0xff), |
|
| 283 | + (int) (($h9 >> 10) & 0xff), |
|
| 284 | + (int) (($h9 >> 18) & 0xff) |
|
| 285 | + ); |
|
| 286 | + return self::intArrayToString($s); |
|
| 287 | + } |
|
| 288 | + |
|
| 289 | + /** |
|
| 290 | + * Is a field element negative? (1 = yes, 0 = no. Used in calculations.) |
|
| 291 | + * |
|
| 292 | + * @internal You should not use this directly from another application |
|
| 293 | + * |
|
| 294 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 295 | + * @return int |
|
| 296 | + * @throws SodiumException |
|
| 297 | + * @throws TypeError |
|
| 298 | + */ |
|
| 299 | + public static function fe_isnegative(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 300 | + { |
|
| 301 | + $str = self::fe_tobytes($f); |
|
| 302 | + return (int) (self::chrToInt($str[0]) & 1); |
|
| 303 | + } |
|
| 304 | + |
|
| 305 | + /** |
|
| 306 | + * Returns 0 if this field element results in all NUL bytes. |
|
| 307 | + * |
|
| 308 | + * @internal You should not use this directly from another application |
|
| 309 | + * |
|
| 310 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 311 | + * @return bool |
|
| 312 | + * @throws SodiumException |
|
| 313 | + * @throws TypeError |
|
| 314 | + */ |
|
| 315 | + public static function fe_isnonzero(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 316 | + { |
|
| 317 | + static $zero; |
|
| 318 | + if ($zero === null) { |
|
| 319 | + $zero = str_repeat("\x00", 32); |
|
| 320 | + } |
|
| 321 | + /** @var string $zero */ |
|
| 322 | + /** @var string $str */ |
|
| 323 | + $str = self::fe_tobytes($f); |
|
| 324 | + return !self::verify_32($str, (string) $zero); |
|
| 325 | + } |
|
| 326 | + |
|
| 327 | + /** |
|
| 328 | + * Multiply two field elements |
|
| 329 | + * |
|
| 330 | + * h = f * g |
|
| 331 | + * |
|
| 332 | + * @internal You should not use this directly from another application |
|
| 333 | + * |
|
| 334 | + * @security Is multiplication a source of timing leaks? If so, can we do |
|
| 335 | + * anything to prevent that from happening? |
|
| 336 | + * |
|
| 337 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 338 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 339 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 340 | + */ |
|
| 341 | + public static function fe_mul( |
|
| 342 | + ParagonIE_Sodium_Core_Curve25519_Fe $f, |
|
| 343 | + ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 344 | + ) { |
|
| 345 | + $f0 = $f[0]; |
|
| 346 | + $f1 = $f[1]; |
|
| 347 | + $f2 = $f[2]; |
|
| 348 | + $f3 = $f[3]; |
|
| 349 | + $f4 = $f[4]; |
|
| 350 | + $f5 = $f[5]; |
|
| 351 | + $f6 = $f[6]; |
|
| 352 | + $f7 = $f[7]; |
|
| 353 | + $f8 = $f[8]; |
|
| 354 | + $f9 = $f[9]; |
|
| 355 | + $g0 = $g[0]; |
|
| 356 | + $g1 = $g[1]; |
|
| 357 | + $g2 = $g[2]; |
|
| 358 | + $g3 = $g[3]; |
|
| 359 | + $g4 = $g[4]; |
|
| 360 | + $g5 = $g[5]; |
|
| 361 | + $g6 = $g[6]; |
|
| 362 | + $g7 = $g[7]; |
|
| 363 | + $g8 = $g[8]; |
|
| 364 | + $g9 = $g[9]; |
|
| 365 | + $g1_19 = self::mul($g1, 19, 5); |
|
| 366 | + $g2_19 = self::mul($g2, 19, 5); |
|
| 367 | + $g3_19 = self::mul($g3, 19, 5); |
|
| 368 | + $g4_19 = self::mul($g4, 19, 5); |
|
| 369 | + $g5_19 = self::mul($g5, 19, 5); |
|
| 370 | + $g6_19 = self::mul($g6, 19, 5); |
|
| 371 | + $g7_19 = self::mul($g7, 19, 5); |
|
| 372 | + $g8_19 = self::mul($g8, 19, 5); |
|
| 373 | + $g9_19 = self::mul($g9, 19, 5); |
|
| 374 | + $f1_2 = $f1 << 1; |
|
| 375 | + $f3_2 = $f3 << 1; |
|
| 376 | + $f5_2 = $f5 << 1; |
|
| 377 | + $f7_2 = $f7 << 1; |
|
| 378 | + $f9_2 = $f9 << 1; |
|
| 379 | + $f0g0 = self::mul($f0, $g0, 26); |
|
| 380 | + $f0g1 = self::mul($f0, $g1, 25); |
|
| 381 | + $f0g2 = self::mul($f0, $g2, 26); |
|
| 382 | + $f0g3 = self::mul($f0, $g3, 25); |
|
| 383 | + $f0g4 = self::mul($f0, $g4, 26); |
|
| 384 | + $f0g5 = self::mul($f0, $g5, 25); |
|
| 385 | + $f0g6 = self::mul($f0, $g6, 26); |
|
| 386 | + $f0g7 = self::mul($f0, $g7, 25); |
|
| 387 | + $f0g8 = self::mul($f0, $g8, 26); |
|
| 388 | + $f0g9 = self::mul($f0, $g9, 26); |
|
| 389 | + $f1g0 = self::mul($f1, $g0, 26); |
|
| 390 | + $f1g1_2 = self::mul($f1_2, $g1, 25); |
|
| 391 | + $f1g2 = self::mul($f1, $g2, 26); |
|
| 392 | + $f1g3_2 = self::mul($f1_2, $g3, 25); |
|
| 393 | + $f1g4 = self::mul($f1, $g4, 26); |
|
| 394 | + $f1g5_2 = self::mul($f1_2, $g5, 25); |
|
| 395 | + $f1g6 = self::mul($f1, $g6, 26); |
|
| 396 | + $f1g7_2 = self::mul($f1_2, $g7, 25); |
|
| 397 | + $f1g8 = self::mul($f1, $g8, 26); |
|
| 398 | + $f1g9_38 = self::mul($g9_19, $f1_2, 26); |
|
| 399 | + $f2g0 = self::mul($f2, $g0, 26); |
|
| 400 | + $f2g1 = self::mul($f2, $g1, 25); |
|
| 401 | + $f2g2 = self::mul($f2, $g2, 26); |
|
| 402 | + $f2g3 = self::mul($f2, $g3, 25); |
|
| 403 | + $f2g4 = self::mul($f2, $g4, 26); |
|
| 404 | + $f2g5 = self::mul($f2, $g5, 25); |
|
| 405 | + $f2g6 = self::mul($f2, $g6, 26); |
|
| 406 | + $f2g7 = self::mul($f2, $g7, 25); |
|
| 407 | + $f2g8_19 = self::mul($g8_19, $f2, 26); |
|
| 408 | + $f2g9_19 = self::mul($g9_19, $f2, 26); |
|
| 409 | + $f3g0 = self::mul($f3, $g0, 26); |
|
| 410 | + $f3g1_2 = self::mul($f3_2, $g1, 25); |
|
| 411 | + $f3g2 = self::mul($f3, $g2, 26); |
|
| 412 | + $f3g3_2 = self::mul($f3_2, $g3, 25); |
|
| 413 | + $f3g4 = self::mul($f3, $g4, 26); |
|
| 414 | + $f3g5_2 = self::mul($f3_2, $g5, 25); |
|
| 415 | + $f3g6 = self::mul($f3, $g6, 26); |
|
| 416 | + $f3g7_38 = self::mul($g7_19, $f3_2, 26); |
|
| 417 | + $f3g8_19 = self::mul($g8_19, $f3, 25); |
|
| 418 | + $f3g9_38 = self::mul($g9_19, $f3_2, 26); |
|
| 419 | + $f4g0 = self::mul($f4, $g0, 26); |
|
| 420 | + $f4g1 = self::mul($f4, $g1, 25); |
|
| 421 | + $f4g2 = self::mul($f4, $g2, 26); |
|
| 422 | + $f4g3 = self::mul($f4, $g3, 25); |
|
| 423 | + $f4g4 = self::mul($f4, $g4, 26); |
|
| 424 | + $f4g5 = self::mul($f4, $g5, 25); |
|
| 425 | + $f4g6_19 = self::mul($g6_19, $f4, 26); |
|
| 426 | + $f4g7_19 = self::mul($g7_19, $f4, 26); |
|
| 427 | + $f4g8_19 = self::mul($g8_19, $f4, 26); |
|
| 428 | + $f4g9_19 = self::mul($g9_19, $f4, 26); |
|
| 429 | + $f5g0 = self::mul($f5, $g0, 26); |
|
| 430 | + $f5g1_2 = self::mul($f5_2, $g1, 25); |
|
| 431 | + $f5g2 = self::mul($f5, $g2, 26); |
|
| 432 | + $f5g3_2 = self::mul($f5_2, $g3, 25); |
|
| 433 | + $f5g4 = self::mul($f5, $g4, 26); |
|
| 434 | + $f5g5_38 = self::mul($g5_19, $f5_2, 26); |
|
| 435 | + $f5g6_19 = self::mul($g6_19, $f5, 25); |
|
| 436 | + $f5g7_38 = self::mul($g7_19, $f5_2, 26); |
|
| 437 | + $f5g8_19 = self::mul($g8_19, $f5, 25); |
|
| 438 | + $f5g9_38 = self::mul($g9_19, $f5_2, 26); |
|
| 439 | + $f6g0 = self::mul($f6, $g0, 26); |
|
| 440 | + $f6g1 = self::mul($f6, $g1, 25); |
|
| 441 | + $f6g2 = self::mul($f6, $g2, 26); |
|
| 442 | + $f6g3 = self::mul($f6, $g3, 25); |
|
| 443 | + $f6g4_19 = self::mul($g4_19, $f6, 26); |
|
| 444 | + $f6g5_19 = self::mul($g5_19, $f6, 26); |
|
| 445 | + $f6g6_19 = self::mul($g6_19, $f6, 26); |
|
| 446 | + $f6g7_19 = self::mul($g7_19, $f6, 26); |
|
| 447 | + $f6g8_19 = self::mul($g8_19, $f6, 26); |
|
| 448 | + $f6g9_19 = self::mul($g9_19, $f6, 26); |
|
| 449 | + $f7g0 = self::mul($f7, $g0, 26); |
|
| 450 | + $f7g1_2 = self::mul($f7_2, $g1, 25); |
|
| 451 | + $f7g2 = self::mul($f7, $g2, 26); |
|
| 452 | + $f7g3_38 = self::mul($g3_19, $f7_2, 26); |
|
| 453 | + $f7g4_19 = self::mul($g4_19, $f7, 26); |
|
| 454 | + $f7g5_38 = self::mul($g5_19, $f7_2, 26); |
|
| 455 | + $f7g6_19 = self::mul($g6_19, $f7, 25); |
|
| 456 | + $f7g7_38 = self::mul($g7_19, $f7_2, 26); |
|
| 457 | + $f7g8_19 = self::mul($g8_19, $f7, 25); |
|
| 458 | + $f7g9_38 = self::mul($g9_19,$f7_2, 26); |
|
| 459 | + $f8g0 = self::mul($f8, $g0, 26); |
|
| 460 | + $f8g1 = self::mul($f8, $g1, 25); |
|
| 461 | + $f8g2_19 = self::mul($g2_19, $f8, 26); |
|
| 462 | + $f8g3_19 = self::mul($g3_19, $f8, 26); |
|
| 463 | + $f8g4_19 = self::mul($g4_19, $f8, 26); |
|
| 464 | + $f8g5_19 = self::mul($g5_19, $f8, 26); |
|
| 465 | + $f8g6_19 = self::mul($g6_19, $f8, 26); |
|
| 466 | + $f8g7_19 = self::mul($g7_19, $f8, 26); |
|
| 467 | + $f8g8_19 = self::mul($g8_19, $f8, 26); |
|
| 468 | + $f8g9_19 = self::mul($g9_19, $f8, 26); |
|
| 469 | + $f9g0 = self::mul($f9, $g0, 26); |
|
| 470 | + $f9g1_38 = self::mul($g1_19, $f9_2, 26); |
|
| 471 | + $f9g2_19 = self::mul($g2_19, $f9, 25); |
|
| 472 | + $f9g3_38 = self::mul($g3_19, $f9_2, 26); |
|
| 473 | + $f9g4_19 = self::mul($g4_19, $f9, 25); |
|
| 474 | + $f9g5_38 = self::mul($g5_19, $f9_2, 26); |
|
| 475 | + $f9g6_19 = self::mul($g6_19, $f9, 25); |
|
| 476 | + $f9g7_38 = self::mul($g7_19, $f9_2, 26); |
|
| 477 | + $f9g8_19 = self::mul($g8_19, $f9, 25); |
|
| 478 | + $f9g9_38 = self::mul($g9_19, $f9_2, 26); |
|
| 479 | + $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38; |
|
| 480 | + $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19; |
|
| 481 | + $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38; |
|
| 482 | + $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19; |
|
| 483 | + $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38; |
|
| 484 | + $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19; |
|
| 485 | + $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38; |
|
| 486 | + $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19; |
|
| 487 | + $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38; |
|
| 488 | + $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ; |
|
| 489 | + |
|
| 490 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 491 | + $h1 += $carry0; |
|
| 492 | + $h0 -= $carry0 << 26; |
|
| 493 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 494 | + $h5 += $carry4; |
|
| 495 | + $h4 -= $carry4 << 26; |
|
| 496 | + |
|
| 497 | + $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 498 | + $h2 += $carry1; |
|
| 499 | + $h1 -= $carry1 << 25; |
|
| 500 | + $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 501 | + $h6 += $carry5; |
|
| 502 | + $h5 -= $carry5 << 25; |
|
| 503 | + |
|
| 504 | + $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 505 | + $h3 += $carry2; |
|
| 506 | + $h2 -= $carry2 << 26; |
|
| 507 | + $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 508 | + $h7 += $carry6; |
|
| 509 | + $h6 -= $carry6 << 26; |
|
| 510 | + |
|
| 511 | + $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 512 | + $h4 += $carry3; |
|
| 513 | + $h3 -= $carry3 << 25; |
|
| 514 | + $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 515 | + $h8 += $carry7; |
|
| 516 | + $h7 -= $carry7 << 25; |
|
| 517 | + |
|
| 518 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 519 | + $h5 += $carry4; |
|
| 520 | + $h4 -= $carry4 << 26; |
|
| 521 | + $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 522 | + $h9 += $carry8; |
|
| 523 | + $h8 -= $carry8 << 26; |
|
| 524 | + |
|
| 525 | + $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 526 | + $h0 += self::mul($carry9, 19, 5); |
|
| 527 | + $h9 -= $carry9 << 25; |
|
| 528 | + |
|
| 529 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 530 | + $h1 += $carry0; |
|
| 531 | + $h0 -= $carry0 << 26; |
|
| 532 | + |
|
| 533 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 534 | + array( |
|
| 535 | + (int) $h0, |
|
| 536 | + (int) $h1, |
|
| 537 | + (int) $h2, |
|
| 538 | + (int) $h3, |
|
| 539 | + (int) $h4, |
|
| 540 | + (int) $h5, |
|
| 541 | + (int) $h6, |
|
| 542 | + (int) $h7, |
|
| 543 | + (int) $h8, |
|
| 544 | + (int) $h9 |
|
| 545 | + ) |
|
| 546 | + ); |
|
| 547 | + } |
|
| 548 | + |
|
| 549 | + /** |
|
| 550 | + * Get the negative values for each piece of the field element. |
|
| 551 | + * |
|
| 552 | + * h = -f |
|
| 553 | + * |
|
| 554 | + * @internal You should not use this directly from another application |
|
| 555 | + * |
|
| 556 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 557 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 558 | + * @psalm-suppress MixedAssignment |
|
| 559 | + */ |
|
| 560 | + public static function fe_neg(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 561 | + { |
|
| 562 | + $h = new ParagonIE_Sodium_Core_Curve25519_Fe(); |
|
| 563 | + for ($i = 0; $i < 10; ++$i) { |
|
| 564 | + $h[$i] = -$f[$i]; |
|
| 565 | + } |
|
| 566 | + return $h; |
|
| 567 | + } |
|
| 568 | + |
|
| 569 | + /** |
|
| 570 | + * Square a field element |
|
| 571 | + * |
|
| 572 | + * h = f * f |
|
| 573 | + * |
|
| 574 | + * @internal You should not use this directly from another application |
|
| 575 | + * |
|
| 576 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 577 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 578 | + */ |
|
| 579 | + public static function fe_sq(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 580 | + { |
|
| 581 | + $f0 = (int) $f[0]; |
|
| 582 | + $f1 = (int) $f[1]; |
|
| 583 | + $f2 = (int) $f[2]; |
|
| 584 | + $f3 = (int) $f[3]; |
|
| 585 | + $f4 = (int) $f[4]; |
|
| 586 | + $f5 = (int) $f[5]; |
|
| 587 | + $f6 = (int) $f[6]; |
|
| 588 | + $f7 = (int) $f[7]; |
|
| 589 | + $f8 = (int) $f[8]; |
|
| 590 | + $f9 = (int) $f[9]; |
|
| 591 | + |
|
| 592 | + $f0_2 = $f0 << 1; |
|
| 593 | + $f1_2 = $f1 << 1; |
|
| 594 | + $f2_2 = $f2 << 1; |
|
| 595 | + $f3_2 = $f3 << 1; |
|
| 596 | + $f4_2 = $f4 << 1; |
|
| 597 | + $f5_2 = $f5 << 1; |
|
| 598 | + $f6_2 = $f6 << 1; |
|
| 599 | + $f7_2 = $f7 << 1; |
|
| 600 | + $f5_38 = self::mul($f5, 38, 6); |
|
| 601 | + $f6_19 = self::mul($f6, 19, 5); |
|
| 602 | + $f7_38 = self::mul($f7, 38, 6); |
|
| 603 | + $f8_19 = self::mul($f8, 19, 5); |
|
| 604 | + $f9_38 = self::mul($f9, 38, 6); |
|
| 605 | + $f0f0 = self::mul($f0, $f0, 26); |
|
| 606 | + $f0f1_2 = self::mul($f0_2, $f1, 26); |
|
| 607 | + $f0f2_2 = self::mul($f0_2, $f2, 26); |
|
| 608 | + $f0f3_2 = self::mul($f0_2, $f3, 26); |
|
| 609 | + $f0f4_2 = self::mul($f0_2, $f4, 26); |
|
| 610 | + $f0f5_2 = self::mul($f0_2, $f5, 26); |
|
| 611 | + $f0f6_2 = self::mul($f0_2, $f6, 26); |
|
| 612 | + $f0f7_2 = self::mul($f0_2, $f7, 26); |
|
| 613 | + $f0f8_2 = self::mul($f0_2, $f8, 26); |
|
| 614 | + $f0f9_2 = self::mul($f0_2, $f9, 26); |
|
| 615 | + $f1f1_2 = self::mul($f1_2, $f1, 26); |
|
| 616 | + $f1f2_2 = self::mul($f1_2, $f2, 26); |
|
| 617 | + $f1f3_4 = self::mul($f1_2, $f3_2, 26); |
|
| 618 | + $f1f4_2 = self::mul($f1_2, $f4, 26); |
|
| 619 | + $f1f5_4 = self::mul($f1_2, $f5_2, 26); |
|
| 620 | + $f1f6_2 = self::mul($f1_2, $f6, 26); |
|
| 621 | + $f1f7_4 = self::mul($f1_2, $f7_2, 26); |
|
| 622 | + $f1f8_2 = self::mul($f1_2, $f8, 26); |
|
| 623 | + $f1f9_76 = self::mul($f9_38, $f1_2, 27); |
|
| 624 | + $f2f2 = self::mul($f2, $f2, 27); |
|
| 625 | + $f2f3_2 = self::mul($f2_2, $f3, 27); |
|
| 626 | + $f2f4_2 = self::mul($f2_2, $f4, 27); |
|
| 627 | + $f2f5_2 = self::mul($f2_2, $f5, 27); |
|
| 628 | + $f2f6_2 = self::mul($f2_2, $f6, 27); |
|
| 629 | + $f2f7_2 = self::mul($f2_2, $f7, 27); |
|
| 630 | + $f2f8_38 = self::mul($f8_19, $f2_2, 27); |
|
| 631 | + $f2f9_38 = self::mul($f9_38, $f2, 26); |
|
| 632 | + $f3f3_2 = self::mul($f3_2, $f3, 26); |
|
| 633 | + $f3f4_2 = self::mul($f3_2, $f4, 26); |
|
| 634 | + $f3f5_4 = self::mul($f3_2, $f5_2, 26); |
|
| 635 | + $f3f6_2 = self::mul($f3_2, $f6, 26); |
|
| 636 | + $f3f7_76 = self::mul($f7_38, $f3_2, 26); |
|
| 637 | + $f3f8_38 = self::mul($f8_19, $f3_2, 26); |
|
| 638 | + $f3f9_76 = self::mul($f9_38, $f3_2, 26); |
|
| 639 | + $f4f4 = self::mul($f4, $f4, 26); |
|
| 640 | + $f4f5_2 = self::mul($f4_2, $f5, 26); |
|
| 641 | + $f4f6_38 = self::mul($f6_19, $f4_2, 27); |
|
| 642 | + $f4f7_38 = self::mul($f7_38, $f4, 26); |
|
| 643 | + $f4f8_38 = self::mul($f8_19, $f4_2, 27); |
|
| 644 | + $f4f9_38 = self::mul($f9_38, $f4, 26); |
|
| 645 | + $f5f5_38 = self::mul($f5_38, $f5, 26); |
|
| 646 | + $f5f6_38 = self::mul($f6_19, $f5_2, 26); |
|
| 647 | + $f5f7_76 = self::mul($f7_38, $f5_2, 26); |
|
| 648 | + $f5f8_38 = self::mul($f8_19, $f5_2, 26); |
|
| 649 | + $f5f9_76 = self::mul($f9_38, $f5_2, 26); |
|
| 650 | + $f6f6_19 = self::mul($f6_19, $f6, 26); |
|
| 651 | + $f6f7_38 = self::mul($f7_38, $f6, 26); |
|
| 652 | + $f6f8_38 = self::mul($f8_19, $f6_2, 27); |
|
| 653 | + $f6f9_38 = self::mul($f9_38, $f6, 26); |
|
| 654 | + $f7f7_38 = self::mul($f7_38, $f7, 26); |
|
| 655 | + $f7f8_38 = self::mul($f8_19, $f7_2, 26); |
|
| 656 | + $f7f9_76 = self::mul($f9_38, $f7_2, 26); |
|
| 657 | + $f8f8_19 = self::mul($f8_19, $f8, 26); |
|
| 658 | + $f8f9_38 = self::mul($f9_38, $f8, 26); |
|
| 659 | + $f9f9_38 = self::mul($f9_38, $f9, 26); |
|
| 660 | + $h0 = $f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38; |
|
| 661 | + $h1 = $f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38; |
|
| 662 | + $h2 = $f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19; |
|
| 663 | + $h3 = $f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38; |
|
| 664 | + $h4 = $f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38; |
|
| 665 | + $h5 = $f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38; |
|
| 666 | + $h6 = $f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19; |
|
| 667 | + $h7 = $f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38; |
|
| 668 | + $h8 = $f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38; |
|
| 669 | + $h9 = $f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2; |
|
| 670 | + |
|
| 671 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 672 | + $h1 += $carry0; |
|
| 673 | + $h0 -= $carry0 << 26; |
|
| 674 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 675 | + $h5 += $carry4; |
|
| 676 | + $h4 -= $carry4 << 26; |
|
| 677 | + |
|
| 678 | + $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 679 | + $h2 += $carry1; |
|
| 680 | + $h1 -= $carry1 << 25; |
|
| 681 | + $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 682 | + $h6 += $carry5; |
|
| 683 | + $h5 -= $carry5 << 25; |
|
| 684 | + |
|
| 685 | + $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 686 | + $h3 += $carry2; |
|
| 687 | + $h2 -= $carry2 << 26; |
|
| 688 | + $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 689 | + $h7 += $carry6; |
|
| 690 | + $h6 -= $carry6 << 26; |
|
| 691 | + |
|
| 692 | + $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 693 | + $h4 += $carry3; |
|
| 694 | + $h3 -= $carry3 << 25; |
|
| 695 | + $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 696 | + $h8 += $carry7; |
|
| 697 | + $h7 -= $carry7 << 25; |
|
| 698 | + |
|
| 699 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 700 | + $h5 += $carry4; |
|
| 701 | + $h4 -= $carry4 << 26; |
|
| 702 | + $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 703 | + $h9 += $carry8; |
|
| 704 | + $h8 -= $carry8 << 26; |
|
| 705 | + |
|
| 706 | + $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 707 | + $h0 += self::mul($carry9, 19, 5); |
|
| 708 | + $h9 -= $carry9 << 25; |
|
| 709 | + |
|
| 710 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 711 | + $h1 += $carry0; |
|
| 712 | + $h0 -= $carry0 << 26; |
|
| 713 | + |
|
| 714 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 715 | + array( |
|
| 716 | + (int) $h0, |
|
| 717 | + (int) $h1, |
|
| 718 | + (int) $h2, |
|
| 719 | + (int) $h3, |
|
| 720 | + (int) $h4, |
|
| 721 | + (int) $h5, |
|
| 722 | + (int) $h6, |
|
| 723 | + (int) $h7, |
|
| 724 | + (int) $h8, |
|
| 725 | + (int) $h9 |
|
| 726 | + ) |
|
| 727 | + ); |
|
| 728 | + } |
|
| 729 | + |
|
| 730 | + |
|
| 731 | + /** |
|
| 732 | + * Square and double a field element |
|
| 733 | + * |
|
| 734 | + * h = 2 * f * f |
|
| 735 | + * |
|
| 736 | + * @internal You should not use this directly from another application |
|
| 737 | + * |
|
| 738 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 739 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 740 | + */ |
|
| 741 | + public static function fe_sq2(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 742 | + { |
|
| 743 | + $f0 = (int) $f[0]; |
|
| 744 | + $f1 = (int) $f[1]; |
|
| 745 | + $f2 = (int) $f[2]; |
|
| 746 | + $f3 = (int) $f[3]; |
|
| 747 | + $f4 = (int) $f[4]; |
|
| 748 | + $f5 = (int) $f[5]; |
|
| 749 | + $f6 = (int) $f[6]; |
|
| 750 | + $f7 = (int) $f[7]; |
|
| 751 | + $f8 = (int) $f[8]; |
|
| 752 | + $f9 = (int) $f[9]; |
|
| 753 | + |
|
| 754 | + $f0_2 = $f0 << 1; |
|
| 755 | + $f1_2 = $f1 << 1; |
|
| 756 | + $f2_2 = $f2 << 1; |
|
| 757 | + $f3_2 = $f3 << 1; |
|
| 758 | + $f4_2 = $f4 << 1; |
|
| 759 | + $f5_2 = $f5 << 1; |
|
| 760 | + $f6_2 = $f6 << 1; |
|
| 761 | + $f7_2 = $f7 << 1; |
|
| 762 | + $f5_38 = self::mul($f5, 38, 6); /* 1.959375*2^30 */ |
|
| 763 | + $f6_19 = self::mul($f6, 19, 5); /* 1.959375*2^30 */ |
|
| 764 | + $f7_38 = self::mul($f7, 38, 6); /* 1.959375*2^30 */ |
|
| 765 | + $f8_19 = self::mul($f8, 19, 5); /* 1.959375*2^30 */ |
|
| 766 | + $f9_38 = self::mul($f9, 38, 6); /* 1.959375*2^30 */ |
|
| 767 | + $f0f0 = self::mul($f0, $f0, 24); |
|
| 768 | + $f0f1_2 = self::mul($f0_2, $f1, 24); |
|
| 769 | + $f0f2_2 = self::mul($f0_2, $f2, 24); |
|
| 770 | + $f0f3_2 = self::mul($f0_2, $f3, 24); |
|
| 771 | + $f0f4_2 = self::mul($f0_2, $f4, 24); |
|
| 772 | + $f0f5_2 = self::mul($f0_2, $f5, 24); |
|
| 773 | + $f0f6_2 = self::mul($f0_2, $f6, 24); |
|
| 774 | + $f0f7_2 = self::mul($f0_2, $f7, 24); |
|
| 775 | + $f0f8_2 = self::mul($f0_2, $f8, 24); |
|
| 776 | + $f0f9_2 = self::mul($f0_2, $f9, 24); |
|
| 777 | + $f1f1_2 = self::mul($f1_2, $f1, 24); |
|
| 778 | + $f1f2_2 = self::mul($f1_2, $f2, 24); |
|
| 779 | + $f1f3_4 = self::mul($f1_2, $f3_2, 24); |
|
| 780 | + $f1f4_2 = self::mul($f1_2, $f4, 24); |
|
| 781 | + $f1f5_4 = self::mul($f1_2, $f5_2, 24); |
|
| 782 | + $f1f6_2 = self::mul($f1_2, $f6, 24); |
|
| 783 | + $f1f7_4 = self::mul($f1_2, $f7_2, 24); |
|
| 784 | + $f1f8_2 = self::mul($f1_2, $f8, 24); |
|
| 785 | + $f1f9_76 = self::mul($f9_38, $f1_2, 24); |
|
| 786 | + $f2f2 = self::mul($f2, $f2, 24); |
|
| 787 | + $f2f3_2 = self::mul($f2_2, $f3, 24); |
|
| 788 | + $f2f4_2 = self::mul($f2_2, $f4, 24); |
|
| 789 | + $f2f5_2 = self::mul($f2_2, $f5, 24); |
|
| 790 | + $f2f6_2 = self::mul($f2_2, $f6, 24); |
|
| 791 | + $f2f7_2 = self::mul($f2_2, $f7, 24); |
|
| 792 | + $f2f8_38 = self::mul($f8_19, $f2_2, 25); |
|
| 793 | + $f2f9_38 = self::mul($f9_38, $f2, 24); |
|
| 794 | + $f3f3_2 = self::mul($f3_2, $f3, 24); |
|
| 795 | + $f3f4_2 = self::mul($f3_2, $f4, 24); |
|
| 796 | + $f3f5_4 = self::mul($f3_2, $f5_2, 24); |
|
| 797 | + $f3f6_2 = self::mul($f3_2, $f6, 24); |
|
| 798 | + $f3f7_76 = self::mul($f7_38, $f3_2, 24); |
|
| 799 | + $f3f8_38 = self::mul($f8_19, $f3_2, 24); |
|
| 800 | + $f3f9_76 = self::mul($f9_38, $f3_2, 24); |
|
| 801 | + $f4f4 = self::mul($f4, $f4, 24); |
|
| 802 | + $f4f5_2 = self::mul($f4_2, $f5, 24); |
|
| 803 | + $f4f6_38 = self::mul($f6_19, $f4_2, 25); |
|
| 804 | + $f4f7_38 = self::mul($f7_38, $f4, 24); |
|
| 805 | + $f4f8_38 = self::mul($f8_19, $f4_2, 25); |
|
| 806 | + $f4f9_38 = self::mul($f9_38, $f4, 24); |
|
| 807 | + $f5f5_38 = self::mul($f5_38, $f5, 24); |
|
| 808 | + $f5f6_38 = self::mul($f6_19, $f5_2, 24); |
|
| 809 | + $f5f7_76 = self::mul($f7_38, $f5_2, 24); |
|
| 810 | + $f5f8_38 = self::mul($f8_19, $f5_2, 24); |
|
| 811 | + $f5f9_76 = self::mul($f9_38, $f5_2, 24); |
|
| 812 | + $f6f6_19 = self::mul($f6_19, $f6, 24); |
|
| 813 | + $f6f7_38 = self::mul($f7_38, $f6, 24); |
|
| 814 | + $f6f8_38 = self::mul($f8_19, $f6_2, 25); |
|
| 815 | + $f6f9_38 = self::mul($f9_38, $f6, 24); |
|
| 816 | + $f7f7_38 = self::mul($f7_38, $f7, 24); |
|
| 817 | + $f7f8_38 = self::mul($f8_19, $f7_2, 24); |
|
| 818 | + $f7f9_76 = self::mul($f9_38, $f7_2, 24); |
|
| 819 | + $f8f8_19 = self::mul($f8_19, $f8, 24); |
|
| 820 | + $f8f9_38 = self::mul($f9_38, $f8, 24); |
|
| 821 | + $f9f9_38 = self::mul($f9_38, $f9, 24); |
|
| 822 | + |
|
| 823 | + $h0 = (int) ($f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38) << 1; |
|
| 824 | + $h1 = (int) ($f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38) << 1; |
|
| 825 | + $h2 = (int) ($f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19) << 1; |
|
| 826 | + $h3 = (int) ($f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38) << 1; |
|
| 827 | + $h4 = (int) ($f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38) << 1; |
|
| 828 | + $h5 = (int) ($f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38) << 1; |
|
| 829 | + $h6 = (int) ($f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19) << 1; |
|
| 830 | + $h7 = (int) ($f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38) << 1; |
|
| 831 | + $h8 = (int) ($f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38) << 1; |
|
| 832 | + $h9 = (int) ($f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2) << 1; |
|
| 833 | + |
|
| 834 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 835 | + $h1 += $carry0; |
|
| 836 | + $h0 -= $carry0 << 26; |
|
| 837 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 838 | + $h5 += $carry4; |
|
| 839 | + $h4 -= $carry4 << 26; |
|
| 840 | + |
|
| 841 | + $carry1 = ($h1 + (1 << 24)) >> 25; |
|
| 842 | + $h2 += $carry1; |
|
| 843 | + $h1 -= $carry1 << 25; |
|
| 844 | + $carry5 = ($h5 + (1 << 24)) >> 25; |
|
| 845 | + $h6 += $carry5; |
|
| 846 | + $h5 -= $carry5 << 25; |
|
| 847 | + |
|
| 848 | + $carry2 = ($h2 + (1 << 25)) >> 26; |
|
| 849 | + $h3 += $carry2; |
|
| 850 | + $h2 -= $carry2 << 26; |
|
| 851 | + $carry6 = ($h6 + (1 << 25)) >> 26; |
|
| 852 | + $h7 += $carry6; |
|
| 853 | + $h6 -= $carry6 << 26; |
|
| 854 | + |
|
| 855 | + $carry3 = ($h3 + (1 << 24)) >> 25; |
|
| 856 | + $h4 += $carry3; |
|
| 857 | + $h3 -= $carry3 << 25; |
|
| 858 | + $carry7 = ($h7 + (1 << 24)) >> 25; |
|
| 859 | + $h8 += $carry7; |
|
| 860 | + $h7 -= $carry7 << 25; |
|
| 861 | + |
|
| 862 | + $carry4 = ($h4 + (1 << 25)) >> 26; |
|
| 863 | + $h5 += $carry4; |
|
| 864 | + $h4 -= $carry4 << 26; |
|
| 865 | + $carry8 = ($h8 + (1 << 25)) >> 26; |
|
| 866 | + $h9 += $carry8; |
|
| 867 | + $h8 -= $carry8 << 26; |
|
| 868 | + |
|
| 869 | + $carry9 = ($h9 + (1 << 24)) >> 25; |
|
| 870 | + $h0 += self::mul($carry9, 19, 5); |
|
| 871 | + $h9 -= $carry9 << 25; |
|
| 872 | + |
|
| 873 | + $carry0 = ($h0 + (1 << 25)) >> 26; |
|
| 874 | + $h1 += $carry0; |
|
| 875 | + $h0 -= $carry0 << 26; |
|
| 876 | + |
|
| 877 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 878 | + array( |
|
| 879 | + (int) $h0, |
|
| 880 | + (int) $h1, |
|
| 881 | + (int) $h2, |
|
| 882 | + (int) $h3, |
|
| 883 | + (int) $h4, |
|
| 884 | + (int) $h5, |
|
| 885 | + (int) $h6, |
|
| 886 | + (int) $h7, |
|
| 887 | + (int) $h8, |
|
| 888 | + (int) $h9 |
|
| 889 | + ) |
|
| 890 | + ); |
|
| 891 | + } |
|
| 892 | + |
|
| 893 | + /** |
|
| 894 | + * @internal You should not use this directly from another application |
|
| 895 | + * |
|
| 896 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $Z |
|
| 897 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 898 | + */ |
|
| 899 | + public static function fe_invert(ParagonIE_Sodium_Core_Curve25519_Fe $Z) |
|
| 900 | + { |
|
| 901 | + $z = clone $Z; |
|
| 902 | + $t0 = self::fe_sq($z); |
|
| 903 | + $t1 = self::fe_sq($t0); |
|
| 904 | + $t1 = self::fe_sq($t1); |
|
| 905 | + $t1 = self::fe_mul($z, $t1); |
|
| 906 | + $t0 = self::fe_mul($t0, $t1); |
|
| 907 | + $t2 = self::fe_sq($t0); |
|
| 908 | + $t1 = self::fe_mul($t1, $t2); |
|
| 909 | + $t2 = self::fe_sq($t1); |
|
| 910 | + for ($i = 1; $i < 5; ++$i) { |
|
| 911 | + $t2 = self::fe_sq($t2); |
|
| 912 | + } |
|
| 913 | + $t1 = self::fe_mul($t2, $t1); |
|
| 914 | + $t2 = self::fe_sq($t1); |
|
| 915 | + for ($i = 1; $i < 10; ++$i) { |
|
| 916 | + $t2 = self::fe_sq($t2); |
|
| 917 | + } |
|
| 918 | + $t2 = self::fe_mul($t2, $t1); |
|
| 919 | + $t3 = self::fe_sq($t2); |
|
| 920 | + for ($i = 1; $i < 20; ++$i) { |
|
| 921 | + $t3 = self::fe_sq($t3); |
|
| 922 | + } |
|
| 923 | + $t2 = self::fe_mul($t3, $t2); |
|
| 924 | + $t2 = self::fe_sq($t2); |
|
| 925 | + for ($i = 1; $i < 10; ++$i) { |
|
| 926 | + $t2 = self::fe_sq($t2); |
|
| 927 | + } |
|
| 928 | + $t1 = self::fe_mul($t2, $t1); |
|
| 929 | + $t2 = self::fe_sq($t1); |
|
| 930 | + for ($i = 1; $i < 50; ++$i) { |
|
| 931 | + $t2 = self::fe_sq($t2); |
|
| 932 | + } |
|
| 933 | + $t2 = self::fe_mul($t2, $t1); |
|
| 934 | + $t3 = self::fe_sq($t2); |
|
| 935 | + for ($i = 1; $i < 100; ++$i) { |
|
| 936 | + $t3 = self::fe_sq($t3); |
|
| 937 | + } |
|
| 938 | + $t2 = self::fe_mul($t3, $t2); |
|
| 939 | + $t2 = self::fe_sq($t2); |
|
| 940 | + for ($i = 1; $i < 50; ++$i) { |
|
| 941 | + $t2 = self::fe_sq($t2); |
|
| 942 | + } |
|
| 943 | + $t1 = self::fe_mul($t2, $t1); |
|
| 944 | + $t1 = self::fe_sq($t1); |
|
| 945 | + for ($i = 1; $i < 5; ++$i) { |
|
| 946 | + $t1 = self::fe_sq($t1); |
|
| 947 | + } |
|
| 948 | + return self::fe_mul($t1, $t0); |
|
| 949 | + } |
|
| 950 | + |
|
| 951 | + /** |
|
| 952 | + * @internal You should not use this directly from another application |
|
| 953 | + * |
|
| 954 | + * @ref https://github.com/jedisct1/libsodium/blob/68564326e1e9dc57ef03746f85734232d20ca6fb/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1054-L1106 |
|
| 955 | + * |
|
| 956 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $z |
|
| 957 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 958 | + */ |
|
| 959 | + public static function fe_pow22523(ParagonIE_Sodium_Core_Curve25519_Fe $z) |
|
| 960 | + { |
|
| 961 | + # fe_sq(t0, z); |
|
| 962 | + # fe_sq(t1, t0); |
|
| 963 | + # fe_sq(t1, t1); |
|
| 964 | + # fe_mul(t1, z, t1); |
|
| 965 | + # fe_mul(t0, t0, t1); |
|
| 966 | + # fe_sq(t0, t0); |
|
| 967 | + # fe_mul(t0, t1, t0); |
|
| 968 | + # fe_sq(t1, t0); |
|
| 969 | + $t0 = self::fe_sq($z); |
|
| 970 | + $t1 = self::fe_sq($t0); |
|
| 971 | + $t1 = self::fe_sq($t1); |
|
| 972 | + $t1 = self::fe_mul($z, $t1); |
|
| 973 | + $t0 = self::fe_mul($t0, $t1); |
|
| 974 | + $t0 = self::fe_sq($t0); |
|
| 975 | + $t0 = self::fe_mul($t1, $t0); |
|
| 976 | + $t1 = self::fe_sq($t0); |
|
| 977 | + |
|
| 978 | + # for (i = 1; i < 5; ++i) { |
|
| 979 | + # fe_sq(t1, t1); |
|
| 980 | + # } |
|
| 981 | + for ($i = 1; $i < 5; ++$i) { |
|
| 982 | + $t1 = self::fe_sq($t1); |
|
| 983 | + } |
|
| 984 | + |
|
| 985 | + # fe_mul(t0, t1, t0); |
|
| 986 | + # fe_sq(t1, t0); |
|
| 987 | + $t0 = self::fe_mul($t1, $t0); |
|
| 988 | + $t1 = self::fe_sq($t0); |
|
| 989 | + |
|
| 990 | + # for (i = 1; i < 10; ++i) { |
|
| 991 | + # fe_sq(t1, t1); |
|
| 992 | + # } |
|
| 993 | + for ($i = 1; $i < 10; ++$i) { |
|
| 994 | + $t1 = self::fe_sq($t1); |
|
| 995 | + } |
|
| 996 | + |
|
| 997 | + # fe_mul(t1, t1, t0); |
|
| 998 | + # fe_sq(t2, t1); |
|
| 999 | + $t1 = self::fe_mul($t1, $t0); |
|
| 1000 | + $t2 = self::fe_sq($t1); |
|
| 1001 | + |
|
| 1002 | + # for (i = 1; i < 20; ++i) { |
|
| 1003 | + # fe_sq(t2, t2); |
|
| 1004 | + # } |
|
| 1005 | + for ($i = 1; $i < 20; ++$i) { |
|
| 1006 | + $t2 = self::fe_sq($t2); |
|
| 1007 | + } |
|
| 1008 | + |
|
| 1009 | + # fe_mul(t1, t2, t1); |
|
| 1010 | + # fe_sq(t1, t1); |
|
| 1011 | + $t1 = self::fe_mul($t2, $t1); |
|
| 1012 | + $t1 = self::fe_sq($t1); |
|
| 1013 | + |
|
| 1014 | + # for (i = 1; i < 10; ++i) { |
|
| 1015 | + # fe_sq(t1, t1); |
|
| 1016 | + # } |
|
| 1017 | + for ($i = 1; $i < 10; ++$i) { |
|
| 1018 | + $t1 = self::fe_sq($t1); |
|
| 1019 | + } |
|
| 1020 | + |
|
| 1021 | + # fe_mul(t0, t1, t0); |
|
| 1022 | + # fe_sq(t1, t0); |
|
| 1023 | + $t0 = self::fe_mul($t1, $t0); |
|
| 1024 | + $t1 = self::fe_sq($t0); |
|
| 1025 | + |
|
| 1026 | + # for (i = 1; i < 50; ++i) { |
|
| 1027 | + # fe_sq(t1, t1); |
|
| 1028 | + # } |
|
| 1029 | + for ($i = 1; $i < 50; ++$i) { |
|
| 1030 | + $t1 = self::fe_sq($t1); |
|
| 1031 | + } |
|
| 1032 | + |
|
| 1033 | + # fe_mul(t1, t1, t0); |
|
| 1034 | + # fe_sq(t2, t1); |
|
| 1035 | + $t1 = self::fe_mul($t1, $t0); |
|
| 1036 | + $t2 = self::fe_sq($t1); |
|
| 1037 | + |
|
| 1038 | + # for (i = 1; i < 100; ++i) { |
|
| 1039 | + # fe_sq(t2, t2); |
|
| 1040 | + # } |
|
| 1041 | + for ($i = 1; $i < 100; ++$i) { |
|
| 1042 | + $t2 = self::fe_sq($t2); |
|
| 1043 | + } |
|
| 1044 | + |
|
| 1045 | + # fe_mul(t1, t2, t1); |
|
| 1046 | + # fe_sq(t1, t1); |
|
| 1047 | + $t1 = self::fe_mul($t2, $t1); |
|
| 1048 | + $t1 = self::fe_sq($t1); |
|
| 1049 | + |
|
| 1050 | + # for (i = 1; i < 50; ++i) { |
|
| 1051 | + # fe_sq(t1, t1); |
|
| 1052 | + # } |
|
| 1053 | + for ($i = 1; $i < 50; ++$i) { |
|
| 1054 | + $t1 = self::fe_sq($t1); |
|
| 1055 | + } |
|
| 1056 | + |
|
| 1057 | + # fe_mul(t0, t1, t0); |
|
| 1058 | + # fe_sq(t0, t0); |
|
| 1059 | + # fe_sq(t0, t0); |
|
| 1060 | + # fe_mul(out, t0, z); |
|
| 1061 | + $t0 = self::fe_mul($t1, $t0); |
|
| 1062 | + $t0 = self::fe_sq($t0); |
|
| 1063 | + $t0 = self::fe_sq($t0); |
|
| 1064 | + return self::fe_mul($t0, $z); |
|
| 1065 | + } |
|
| 1066 | + |
|
| 1067 | + /** |
|
| 1068 | + * Subtract two field elements. |
|
| 1069 | + * |
|
| 1070 | + * h = f - g |
|
| 1071 | + * |
|
| 1072 | + * Preconditions: |
|
| 1073 | + * |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. |
|
| 1074 | + * |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. |
|
| 1075 | + * |
|
| 1076 | + * Postconditions: |
|
| 1077 | + * |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. |
|
| 1078 | + * |
|
| 1079 | + * @internal You should not use this directly from another application |
|
| 1080 | + * |
|
| 1081 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 1082 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $g |
|
| 1083 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 1084 | + * @psalm-suppress MixedOperand |
|
| 1085 | + */ |
|
| 1086 | + public static function fe_sub(ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g) |
|
| 1087 | + { |
|
| 1088 | + return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( |
|
| 1089 | + array( |
|
| 1090 | + (int) ($f[0] - $g[0]), |
|
| 1091 | + (int) ($f[1] - $g[1]), |
|
| 1092 | + (int) ($f[2] - $g[2]), |
|
| 1093 | + (int) ($f[3] - $g[3]), |
|
| 1094 | + (int) ($f[4] - $g[4]), |
|
| 1095 | + (int) ($f[5] - $g[5]), |
|
| 1096 | + (int) ($f[6] - $g[6]), |
|
| 1097 | + (int) ($f[7] - $g[7]), |
|
| 1098 | + (int) ($f[8] - $g[8]), |
|
| 1099 | + (int) ($f[9] - $g[9]) |
|
| 1100 | + ) |
|
| 1101 | + ); |
|
| 1102 | + } |
|
| 1103 | + |
|
| 1104 | + /** |
|
| 1105 | + * Add two group elements. |
|
| 1106 | + * |
|
| 1107 | + * r = p + q |
|
| 1108 | + * |
|
| 1109 | + * @internal You should not use this directly from another application |
|
| 1110 | + * |
|
| 1111 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1112 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1113 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1114 | + */ |
|
| 1115 | + public static function ge_add( |
|
| 1116 | + ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1117 | + ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1118 | + ) { |
|
| 1119 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1120 | + $r->X = self::fe_add($p->Y, $p->X); |
|
| 1121 | + $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1122 | + $r->Z = self::fe_mul($r->X, $q->YplusX); |
|
| 1123 | + $r->Y = self::fe_mul($r->Y, $q->YminusX); |
|
| 1124 | + $r->T = self::fe_mul($q->T2d, $p->T); |
|
| 1125 | + $r->X = self::fe_mul($p->Z, $q->Z); |
|
| 1126 | + $t0 = self::fe_add($r->X, $r->X); |
|
| 1127 | + $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1128 | + $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1129 | + $r->Z = self::fe_add($t0, $r->T); |
|
| 1130 | + $r->T = self::fe_sub($t0, $r->T); |
|
| 1131 | + return $r; |
|
| 1132 | + } |
|
| 1133 | + |
|
| 1134 | + /** |
|
| 1135 | + * @internal You should not use this directly from another application |
|
| 1136 | + * |
|
| 1137 | + * @ref https://github.com/jedisct1/libsodium/blob/157c4a80c13b117608aeae12178b2d38825f9f8f/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1185-L1215 |
|
| 1138 | + * @param string $a |
|
| 1139 | + * @return array<int, mixed> |
|
| 1140 | + * @throws SodiumException |
|
| 1141 | + * @throws TypeError |
|
| 1142 | + */ |
|
| 1143 | + public static function slide($a) |
|
| 1144 | + { |
|
| 1145 | + if (self::strlen($a) < 256) { |
|
| 1146 | + if (self::strlen($a) < 16) { |
|
| 1147 | + $a = str_pad($a, 256, '0', STR_PAD_RIGHT); |
|
| 1148 | + } |
|
| 1149 | + } |
|
| 1150 | + /** @var array<int, int> $r */ |
|
| 1151 | + $r = array(); |
|
| 1152 | + |
|
| 1153 | + /** @var int $i */ |
|
| 1154 | + for ($i = 0; $i < 256; ++$i) { |
|
| 1155 | + $r[$i] = (int) ( |
|
| 1156 | + 1 & ( |
|
| 1157 | + self::chrToInt($a[(int) ($i >> 3)]) |
|
| 1158 | + >> |
|
| 1159 | + ($i & 7) |
|
| 1160 | + ) |
|
| 1161 | + ); |
|
| 1162 | + } |
|
| 1163 | + |
|
| 1164 | + for ($i = 0;$i < 256;++$i) { |
|
| 1165 | + if ($r[$i]) { |
|
| 1166 | + for ($b = 1;$b <= 6 && $i + $b < 256;++$b) { |
|
| 1167 | + if ($r[$i + $b]) { |
|
| 1168 | + if ($r[$i] + ($r[$i + $b] << $b) <= 15) { |
|
| 1169 | + $r[$i] += $r[$i + $b] << $b; |
|
| 1170 | + $r[$i + $b] = 0; |
|
| 1171 | + } elseif ($r[$i] - ($r[$i + $b] << $b) >= -15) { |
|
| 1172 | + $r[$i] -= $r[$i + $b] << $b; |
|
| 1173 | + for ($k = $i + $b; $k < 256; ++$k) { |
|
| 1174 | + if (!$r[$k]) { |
|
| 1175 | + $r[$k] = 1; |
|
| 1176 | + break; |
|
| 1177 | + } |
|
| 1178 | + $r[$k] = 0; |
|
| 1179 | + } |
|
| 1180 | + } else { |
|
| 1181 | + break; |
|
| 1182 | + } |
|
| 1183 | + } |
|
| 1184 | + } |
|
| 1185 | + } |
|
| 1186 | + } |
|
| 1187 | + return $r; |
|
| 1188 | + } |
|
| 1189 | + |
|
| 1190 | + /** |
|
| 1191 | + * @internal You should not use this directly from another application |
|
| 1192 | + * |
|
| 1193 | + * @param string $s |
|
| 1194 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1195 | + * @throws SodiumException |
|
| 1196 | + * @throws TypeError |
|
| 1197 | + */ |
|
| 1198 | + public static function ge_frombytes_negate_vartime($s) |
|
| 1199 | + { |
|
| 1200 | + static $d = null; |
|
| 1201 | + if (!$d) { |
|
| 1202 | + $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); |
|
| 1203 | + } |
|
| 1204 | + |
|
| 1205 | + # fe_frombytes(h->Y,s); |
|
| 1206 | + # fe_1(h->Z); |
|
| 1207 | + $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 1208 | + self::fe_0(), |
|
| 1209 | + self::fe_frombytes($s), |
|
| 1210 | + self::fe_1() |
|
| 1211 | + ); |
|
| 1212 | + |
|
| 1213 | + # fe_sq(u,h->Y); |
|
| 1214 | + # fe_mul(v,u,d); |
|
| 1215 | + # fe_sub(u,u,h->Z); /* u = y^2-1 */ |
|
| 1216 | + # fe_add(v,v,h->Z); /* v = dy^2+1 */ |
|
| 1217 | + $u = self::fe_sq($h->Y); |
|
| 1218 | + /** @var ParagonIE_Sodium_Core_Curve25519_Fe $d */ |
|
| 1219 | + $v = self::fe_mul($u, $d); |
|
| 1220 | + $u = self::fe_sub($u, $h->Z); /* u = y^2 - 1 */ |
|
| 1221 | + $v = self::fe_add($v, $h->Z); /* v = dy^2 + 1 */ |
|
| 1222 | + |
|
| 1223 | + # fe_sq(v3,v); |
|
| 1224 | + # fe_mul(v3,v3,v); /* v3 = v^3 */ |
|
| 1225 | + # fe_sq(h->X,v3); |
|
| 1226 | + # fe_mul(h->X,h->X,v); |
|
| 1227 | + # fe_mul(h->X,h->X,u); /* x = uv^7 */ |
|
| 1228 | + $v3 = self::fe_sq($v); |
|
| 1229 | + $v3 = self::fe_mul($v3, $v); /* v3 = v^3 */ |
|
| 1230 | + $h->X = self::fe_sq($v3); |
|
| 1231 | + $h->X = self::fe_mul($h->X, $v); |
|
| 1232 | + $h->X = self::fe_mul($h->X, $u); /* x = uv^7 */ |
|
| 1233 | + |
|
| 1234 | + # fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ |
|
| 1235 | + # fe_mul(h->X,h->X,v3); |
|
| 1236 | + # fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 1237 | + $h->X = self::fe_pow22523($h->X); /* x = (uv^7)^((q-5)/8) */ |
|
| 1238 | + $h->X = self::fe_mul($h->X, $v3); |
|
| 1239 | + $h->X = self::fe_mul($h->X, $u); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 1240 | + |
|
| 1241 | + # fe_sq(vxx,h->X); |
|
| 1242 | + # fe_mul(vxx,vxx,v); |
|
| 1243 | + # fe_sub(check,vxx,u); /* vx^2-u */ |
|
| 1244 | + $vxx = self::fe_sq($h->X); |
|
| 1245 | + $vxx = self::fe_mul($vxx, $v); |
|
| 1246 | + $check = self::fe_sub($vxx, $u); /* vx^2 - u */ |
|
| 1247 | + |
|
| 1248 | + # if (fe_isnonzero(check)) { |
|
| 1249 | + # fe_add(check,vxx,u); /* vx^2+u */ |
|
| 1250 | + # if (fe_isnonzero(check)) { |
|
| 1251 | + # return -1; |
|
| 1252 | + # } |
|
| 1253 | + # fe_mul(h->X,h->X,sqrtm1); |
|
| 1254 | + # } |
|
| 1255 | + if (self::fe_isnonzero($check)) { |
|
| 1256 | + $check = self::fe_add($vxx, $u); /* vx^2 + u */ |
|
| 1257 | + if (self::fe_isnonzero($check)) { |
|
| 1258 | + throw new RangeException('Internal check failed.'); |
|
| 1259 | + } |
|
| 1260 | + $h->X = self::fe_mul( |
|
| 1261 | + $h->X, |
|
| 1262 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1) |
|
| 1263 | + ); |
|
| 1264 | + } |
|
| 1265 | + |
|
| 1266 | + # if (fe_isnegative(h->X) == (s[31] >> 7)) { |
|
| 1267 | + # fe_neg(h->X,h->X); |
|
| 1268 | + # } |
|
| 1269 | + $i = self::chrToInt($s[31]); |
|
| 1270 | + if (self::fe_isnegative($h->X) === ($i >> 7)) { |
|
| 1271 | + $h->X = self::fe_neg($h->X); |
|
| 1272 | + } |
|
| 1273 | + |
|
| 1274 | + # fe_mul(h->T,h->X,h->Y); |
|
| 1275 | + $h->T = self::fe_mul($h->X, $h->Y); |
|
| 1276 | + return $h; |
|
| 1277 | + } |
|
| 1278 | + |
|
| 1279 | + /** |
|
| 1280 | + * @internal You should not use this directly from another application |
|
| 1281 | + * |
|
| 1282 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R |
|
| 1283 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1284 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1285 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1286 | + */ |
|
| 1287 | + public static function ge_madd( |
|
| 1288 | + ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, |
|
| 1289 | + ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1290 | + ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1291 | + ) { |
|
| 1292 | + $r = clone $R; |
|
| 1293 | + $r->X = self::fe_add($p->Y, $p->X); |
|
| 1294 | + $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1295 | + $r->Z = self::fe_mul($r->X, $q->yplusx); |
|
| 1296 | + $r->Y = self::fe_mul($r->Y, $q->yminusx); |
|
| 1297 | + $r->T = self::fe_mul($q->xy2d, $p->T); |
|
| 1298 | + $t0 = self::fe_add(clone $p->Z, clone $p->Z); |
|
| 1299 | + $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1300 | + $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1301 | + $r->Z = self::fe_add($t0, $r->T); |
|
| 1302 | + $r->T = self::fe_sub($t0, $r->T); |
|
| 1303 | + |
|
| 1304 | + return $r; |
|
| 1305 | + } |
|
| 1306 | + |
|
| 1307 | + /** |
|
| 1308 | + * @internal You should not use this directly from another application |
|
| 1309 | + * |
|
| 1310 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R |
|
| 1311 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1312 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1313 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1314 | + */ |
|
| 1315 | + public static function ge_msub( |
|
| 1316 | + ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, |
|
| 1317 | + ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1318 | + ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q |
|
| 1319 | + ) { |
|
| 1320 | + $r = clone $R; |
|
| 1321 | + |
|
| 1322 | + $r->X = self::fe_add($p->Y, $p->X); |
|
| 1323 | + $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1324 | + $r->Z = self::fe_mul($r->X, $q->yminusx); |
|
| 1325 | + $r->Y = self::fe_mul($r->Y, $q->yplusx); |
|
| 1326 | + $r->T = self::fe_mul($q->xy2d, $p->T); |
|
| 1327 | + $t0 = self::fe_add($p->Z, $p->Z); |
|
| 1328 | + $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1329 | + $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1330 | + $r->Z = self::fe_sub($t0, $r->T); |
|
| 1331 | + $r->T = self::fe_add($t0, $r->T); |
|
| 1332 | + |
|
| 1333 | + return $r; |
|
| 1334 | + } |
|
| 1335 | + |
|
| 1336 | + /** |
|
| 1337 | + * @internal You should not use this directly from another application |
|
| 1338 | + * |
|
| 1339 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p |
|
| 1340 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1341 | + */ |
|
| 1342 | + public static function ge_p1p1_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) |
|
| 1343 | + { |
|
| 1344 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P2(); |
|
| 1345 | + $r->X = self::fe_mul($p->X, $p->T); |
|
| 1346 | + $r->Y = self::fe_mul($p->Y, $p->Z); |
|
| 1347 | + $r->Z = self::fe_mul($p->Z, $p->T); |
|
| 1348 | + return $r; |
|
| 1349 | + } |
|
| 1350 | + |
|
| 1351 | + /** |
|
| 1352 | + * @internal You should not use this directly from another application |
|
| 1353 | + * |
|
| 1354 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p |
|
| 1355 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1356 | + */ |
|
| 1357 | + public static function ge_p1p1_to_p3(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) |
|
| 1358 | + { |
|
| 1359 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P3(); |
|
| 1360 | + $r->X = self::fe_mul($p->X, $p->T); |
|
| 1361 | + $r->Y = self::fe_mul($p->Y, $p->Z); |
|
| 1362 | + $r->Z = self::fe_mul($p->Z, $p->T); |
|
| 1363 | + $r->T = self::fe_mul($p->X, $p->Y); |
|
| 1364 | + return $r; |
|
| 1365 | + } |
|
| 1366 | + |
|
| 1367 | + /** |
|
| 1368 | + * @internal You should not use this directly from another application |
|
| 1369 | + * |
|
| 1370 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1371 | + */ |
|
| 1372 | + public static function ge_p2_0() |
|
| 1373 | + { |
|
| 1374 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_P2( |
|
| 1375 | + self::fe_0(), |
|
| 1376 | + self::fe_1(), |
|
| 1377 | + self::fe_1() |
|
| 1378 | + ); |
|
| 1379 | + } |
|
| 1380 | + |
|
| 1381 | + /** |
|
| 1382 | + * @internal You should not use this directly from another application |
|
| 1383 | + * |
|
| 1384 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P2 $p |
|
| 1385 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1386 | + */ |
|
| 1387 | + public static function ge_p2_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P2 $p) |
|
| 1388 | + { |
|
| 1389 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1390 | + |
|
| 1391 | + $r->X = self::fe_sq($p->X); |
|
| 1392 | + $r->Z = self::fe_sq($p->Y); |
|
| 1393 | + $r->T = self::fe_sq2($p->Z); |
|
| 1394 | + $r->Y = self::fe_add($p->X, $p->Y); |
|
| 1395 | + $t0 = self::fe_sq($r->Y); |
|
| 1396 | + $r->Y = self::fe_add($r->Z, $r->X); |
|
| 1397 | + $r->Z = self::fe_sub($r->Z, $r->X); |
|
| 1398 | + $r->X = self::fe_sub($t0, $r->Y); |
|
| 1399 | + $r->T = self::fe_sub($r->T, $r->Z); |
|
| 1400 | + |
|
| 1401 | + return $r; |
|
| 1402 | + } |
|
| 1403 | + |
|
| 1404 | + /** |
|
| 1405 | + * @internal You should not use this directly from another application |
|
| 1406 | + * |
|
| 1407 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1408 | + */ |
|
| 1409 | + public static function ge_p3_0() |
|
| 1410 | + { |
|
| 1411 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 1412 | + self::fe_0(), |
|
| 1413 | + self::fe_1(), |
|
| 1414 | + self::fe_1(), |
|
| 1415 | + self::fe_0() |
|
| 1416 | + ); |
|
| 1417 | + } |
|
| 1418 | + |
|
| 1419 | + /** |
|
| 1420 | + * @internal You should not use this directly from another application |
|
| 1421 | + * |
|
| 1422 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1423 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1424 | + */ |
|
| 1425 | + public static function ge_p3_to_cached(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1426 | + { |
|
| 1427 | + static $d2 = null; |
|
| 1428 | + if ($d2 === null) { |
|
| 1429 | + $d2 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d2); |
|
| 1430 | + } |
|
| 1431 | + /** @var ParagonIE_Sodium_Core_Curve25519_Fe $d2 */ |
|
| 1432 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached(); |
|
| 1433 | + $r->YplusX = self::fe_add($p->Y, $p->X); |
|
| 1434 | + $r->YminusX = self::fe_sub($p->Y, $p->X); |
|
| 1435 | + $r->Z = self::fe_copy($p->Z); |
|
| 1436 | + $r->T2d = self::fe_mul($p->T, $d2); |
|
| 1437 | + return $r; |
|
| 1438 | + } |
|
| 1439 | + |
|
| 1440 | + /** |
|
| 1441 | + * @internal You should not use this directly from another application |
|
| 1442 | + * |
|
| 1443 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1444 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1445 | + */ |
|
| 1446 | + public static function ge_p3_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1447 | + { |
|
| 1448 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_P2( |
|
| 1449 | + self::fe_copy($p->X), |
|
| 1450 | + self::fe_copy($p->Y), |
|
| 1451 | + self::fe_copy($p->Z) |
|
| 1452 | + ); |
|
| 1453 | + } |
|
| 1454 | + |
|
| 1455 | + /** |
|
| 1456 | + * @internal You should not use this directly from another application |
|
| 1457 | + * |
|
| 1458 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h |
|
| 1459 | + * @return string |
|
| 1460 | + * @throws SodiumException |
|
| 1461 | + * @throws TypeError |
|
| 1462 | + */ |
|
| 1463 | + public static function ge_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h) |
|
| 1464 | + { |
|
| 1465 | + $recip = self::fe_invert($h->Z); |
|
| 1466 | + $x = self::fe_mul($h->X, $recip); |
|
| 1467 | + $y = self::fe_mul($h->Y, $recip); |
|
| 1468 | + $s = self::fe_tobytes($y); |
|
| 1469 | + $s[31] = self::intToChr( |
|
| 1470 | + self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) |
|
| 1471 | + ); |
|
| 1472 | + return $s; |
|
| 1473 | + } |
|
| 1474 | + |
|
| 1475 | + /** |
|
| 1476 | + * @internal You should not use this directly from another application |
|
| 1477 | + * |
|
| 1478 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1479 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1480 | + */ |
|
| 1481 | + public static function ge_p3_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) |
|
| 1482 | + { |
|
| 1483 | + $q = self::ge_p3_to_p2($p); |
|
| 1484 | + return self::ge_p2_dbl($q); |
|
| 1485 | + } |
|
| 1486 | + |
|
| 1487 | + /** |
|
| 1488 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1489 | + */ |
|
| 1490 | + public static function ge_precomp_0() |
|
| 1491 | + { |
|
| 1492 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1493 | + self::fe_1(), |
|
| 1494 | + self::fe_1(), |
|
| 1495 | + self::fe_0() |
|
| 1496 | + ); |
|
| 1497 | + } |
|
| 1498 | + |
|
| 1499 | + /** |
|
| 1500 | + * @internal You should not use this directly from another application |
|
| 1501 | + * |
|
| 1502 | + * @param int $b |
|
| 1503 | + * @param int $c |
|
| 1504 | + * @return int |
|
| 1505 | + */ |
|
| 1506 | + public static function equal($b, $c) |
|
| 1507 | + { |
|
| 1508 | + return (int) ((($b ^ $c) - 1) >> 31) & 1; |
|
| 1509 | + } |
|
| 1510 | + |
|
| 1511 | + /** |
|
| 1512 | + * @internal You should not use this directly from another application |
|
| 1513 | + * |
|
| 1514 | + * @param int|string $char |
|
| 1515 | + * @return int (1 = yes, 0 = no) |
|
| 1516 | + * @throws SodiumException |
|
| 1517 | + * @throws TypeError |
|
| 1518 | + */ |
|
| 1519 | + public static function negative($char) |
|
| 1520 | + { |
|
| 1521 | + if (is_int($char)) { |
|
| 1522 | + return ($char >> 63) & 1; |
|
| 1523 | + } |
|
| 1524 | + $x = self::chrToInt(self::substr($char, 0, 1)); |
|
| 1525 | + return (int) ($x >> 63); |
|
| 1526 | + } |
|
| 1527 | + |
|
| 1528 | + /** |
|
| 1529 | + * Conditional move |
|
| 1530 | + * |
|
| 1531 | + * @internal You should not use this directly from another application |
|
| 1532 | + * |
|
| 1533 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t |
|
| 1534 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u |
|
| 1535 | + * @param int $b |
|
| 1536 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1537 | + */ |
|
| 1538 | + public static function cmov( |
|
| 1539 | + ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t, |
|
| 1540 | + ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u, |
|
| 1541 | + $b |
|
| 1542 | + ) { |
|
| 1543 | + if (!is_int($b)) { |
|
| 1544 | + throw new InvalidArgumentException('Expected an integer.'); |
|
| 1545 | + } |
|
| 1546 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1547 | + self::fe_cmov($t->yplusx, $u->yplusx, $b), |
|
| 1548 | + self::fe_cmov($t->yminusx, $u->yminusx, $b), |
|
| 1549 | + self::fe_cmov($t->xy2d, $u->xy2d, $b) |
|
| 1550 | + ); |
|
| 1551 | + } |
|
| 1552 | + |
|
| 1553 | + /** |
|
| 1554 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t |
|
| 1555 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u |
|
| 1556 | + * @param int $b |
|
| 1557 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1558 | + */ |
|
| 1559 | + public static function ge_cmov_cached( |
|
| 1560 | + ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t, |
|
| 1561 | + ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u, |
|
| 1562 | + $b |
|
| 1563 | + ) { |
|
| 1564 | + $b &= 1; |
|
| 1565 | + $ret = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached(); |
|
| 1566 | + $ret->YplusX = self::fe_cmov($t->YplusX, $u->YplusX, $b); |
|
| 1567 | + $ret->YminusX = self::fe_cmov($t->YminusX, $u->YminusX, $b); |
|
| 1568 | + $ret->Z = self::fe_cmov($t->Z, $u->Z, $b); |
|
| 1569 | + $ret->T2d = self::fe_cmov($t->T2d, $u->T2d, $b); |
|
| 1570 | + return $ret; |
|
| 1571 | + } |
|
| 1572 | + |
|
| 1573 | + /** |
|
| 1574 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $cached |
|
| 1575 | + * @param int $b |
|
| 1576 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached |
|
| 1577 | + * @throws SodiumException |
|
| 1578 | + */ |
|
| 1579 | + public static function ge_cmov8_cached(array $cached, $b) |
|
| 1580 | + { |
|
| 1581 | + // const unsigned char bnegative = negative(b); |
|
| 1582 | + // const unsigned char babs = b - (((-bnegative) & b) * ((signed char) 1 << 1)); |
|
| 1583 | + $bnegative = self::negative($b); |
|
| 1584 | + $babs = $b - (((-$bnegative) & $b) << 1); |
|
| 1585 | + |
|
| 1586 | + // ge25519_cached_0(t); |
|
| 1587 | + $t = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1588 | + self::fe_1(), |
|
| 1589 | + self::fe_1(), |
|
| 1590 | + self::fe_1(), |
|
| 1591 | + self::fe_0() |
|
| 1592 | + ); |
|
| 1593 | + |
|
| 1594 | + // ge25519_cmov_cached(t, &cached[0], equal(babs, 1)); |
|
| 1595 | + // ge25519_cmov_cached(t, &cached[1], equal(babs, 2)); |
|
| 1596 | + // ge25519_cmov_cached(t, &cached[2], equal(babs, 3)); |
|
| 1597 | + // ge25519_cmov_cached(t, &cached[3], equal(babs, 4)); |
|
| 1598 | + // ge25519_cmov_cached(t, &cached[4], equal(babs, 5)); |
|
| 1599 | + // ge25519_cmov_cached(t, &cached[5], equal(babs, 6)); |
|
| 1600 | + // ge25519_cmov_cached(t, &cached[6], equal(babs, 7)); |
|
| 1601 | + // ge25519_cmov_cached(t, &cached[7], equal(babs, 8)); |
|
| 1602 | + for ($x = 0; $x < 8; ++$x) { |
|
| 1603 | + $t = self::ge_cmov_cached($t, $cached[$x], self::equal($babs, $x + 1)); |
|
| 1604 | + } |
|
| 1605 | + |
|
| 1606 | + // fe25519_copy(minust.YplusX, t->YminusX); |
|
| 1607 | + // fe25519_copy(minust.YminusX, t->YplusX); |
|
| 1608 | + // fe25519_copy(minust.Z, t->Z); |
|
| 1609 | + // fe25519_neg(minust.T2d, t->T2d); |
|
| 1610 | + $minust = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1611 | + self::fe_copy($t->YminusX), |
|
| 1612 | + self::fe_copy($t->YplusX), |
|
| 1613 | + self::fe_copy($t->Z), |
|
| 1614 | + self::fe_neg($t->T2d) |
|
| 1615 | + ); |
|
| 1616 | + return self::ge_cmov_cached($t, $minust, $bnegative); |
|
| 1617 | + } |
|
| 1618 | + |
|
| 1619 | + /** |
|
| 1620 | + * @internal You should not use this directly from another application |
|
| 1621 | + * |
|
| 1622 | + * @param int $pos |
|
| 1623 | + * @param int $b |
|
| 1624 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp |
|
| 1625 | + * @throws SodiumException |
|
| 1626 | + * @throws TypeError |
|
| 1627 | + * @psalm-suppress MixedArgument |
|
| 1628 | + * @psalm-suppress MixedArrayAccess |
|
| 1629 | + * @psalm-suppress MixedArrayOffset |
|
| 1630 | + */ |
|
| 1631 | + public static function ge_select($pos = 0, $b = 0) |
|
| 1632 | + { |
|
| 1633 | + static $base = null; |
|
| 1634 | + if ($base === null) { |
|
| 1635 | + $base = array(); |
|
| 1636 | + /** @var int $i */ |
|
| 1637 | + foreach (self::$base as $i => $bas) { |
|
| 1638 | + for ($j = 0; $j < 8; ++$j) { |
|
| 1639 | + $base[$i][$j] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1640 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][0]), |
|
| 1641 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][1]), |
|
| 1642 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][2]) |
|
| 1643 | + ); |
|
| 1644 | + } |
|
| 1645 | + } |
|
| 1646 | + } |
|
| 1647 | + /** @var array<int, array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp>> $base */ |
|
| 1648 | + if (!is_int($pos)) { |
|
| 1649 | + throw new InvalidArgumentException('Position must be an integer'); |
|
| 1650 | + } |
|
| 1651 | + if ($pos < 0 || $pos > 31) { |
|
| 1652 | + throw new RangeException('Position is out of range [0, 31]'); |
|
| 1653 | + } |
|
| 1654 | + |
|
| 1655 | + $bnegative = self::negative($b); |
|
| 1656 | + $babs = $b - (((-$bnegative) & $b) << 1); |
|
| 1657 | + |
|
| 1658 | + $t = self::ge_precomp_0(); |
|
| 1659 | + for ($i = 0; $i < 8; ++$i) { |
|
| 1660 | + $t = self::cmov( |
|
| 1661 | + $t, |
|
| 1662 | + $base[$pos][$i], |
|
| 1663 | + self::equal($babs, $i + 1) |
|
| 1664 | + ); |
|
| 1665 | + } |
|
| 1666 | + $minusT = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1667 | + self::fe_copy($t->yminusx), |
|
| 1668 | + self::fe_copy($t->yplusx), |
|
| 1669 | + self::fe_neg($t->xy2d) |
|
| 1670 | + ); |
|
| 1671 | + return self::cmov($t, $minusT, $bnegative); |
|
| 1672 | + } |
|
| 1673 | + |
|
| 1674 | + /** |
|
| 1675 | + * Subtract two group elements. |
|
| 1676 | + * |
|
| 1677 | + * r = p - q |
|
| 1678 | + * |
|
| 1679 | + * @internal You should not use this directly from another application |
|
| 1680 | + * |
|
| 1681 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1682 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1683 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 |
|
| 1684 | + */ |
|
| 1685 | + public static function ge_sub( |
|
| 1686 | + ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, |
|
| 1687 | + ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q |
|
| 1688 | + ) { |
|
| 1689 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 1690 | + |
|
| 1691 | + $r->X = self::fe_add($p->Y, $p->X); |
|
| 1692 | + $r->Y = self::fe_sub($p->Y, $p->X); |
|
| 1693 | + $r->Z = self::fe_mul($r->X, $q->YminusX); |
|
| 1694 | + $r->Y = self::fe_mul($r->Y, $q->YplusX); |
|
| 1695 | + $r->T = self::fe_mul($q->T2d, $p->T); |
|
| 1696 | + $r->X = self::fe_mul($p->Z, $q->Z); |
|
| 1697 | + $t0 = self::fe_add($r->X, $r->X); |
|
| 1698 | + $r->X = self::fe_sub($r->Z, $r->Y); |
|
| 1699 | + $r->Y = self::fe_add($r->Z, $r->Y); |
|
| 1700 | + $r->Z = self::fe_sub($t0, $r->T); |
|
| 1701 | + $r->T = self::fe_add($t0, $r->T); |
|
| 1702 | + |
|
| 1703 | + return $r; |
|
| 1704 | + } |
|
| 1705 | + |
|
| 1706 | + /** |
|
| 1707 | + * Convert a group element to a byte string. |
|
| 1708 | + * |
|
| 1709 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P2 $h |
|
| 1710 | + * @return string |
|
| 1711 | + * @throws SodiumException |
|
| 1712 | + * @throws TypeError |
|
| 1713 | + */ |
|
| 1714 | + public static function ge_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P2 $h) |
|
| 1715 | + { |
|
| 1716 | + $recip = self::fe_invert($h->Z); |
|
| 1717 | + $x = self::fe_mul($h->X, $recip); |
|
| 1718 | + $y = self::fe_mul($h->Y, $recip); |
|
| 1719 | + $s = self::fe_tobytes($y); |
|
| 1720 | + $s[31] = self::intToChr( |
|
| 1721 | + self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) |
|
| 1722 | + ); |
|
| 1723 | + return $s; |
|
| 1724 | + } |
|
| 1725 | + |
|
| 1726 | + /** |
|
| 1727 | + * @internal You should not use this directly from another application |
|
| 1728 | + * |
|
| 1729 | + * @param string $a |
|
| 1730 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A |
|
| 1731 | + * @param string $b |
|
| 1732 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 |
|
| 1733 | + * @throws SodiumException |
|
| 1734 | + * @throws TypeError |
|
| 1735 | + * @psalm-suppress MixedArgument |
|
| 1736 | + * @psalm-suppress MixedArrayAccess |
|
| 1737 | + */ |
|
| 1738 | + public static function ge_double_scalarmult_vartime( |
|
| 1739 | + $a, |
|
| 1740 | + ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A, |
|
| 1741 | + $b |
|
| 1742 | + ) { |
|
| 1743 | + /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $Ai */ |
|
| 1744 | + $Ai = array(); |
|
| 1745 | + |
|
| 1746 | + /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp> $Bi */ |
|
| 1747 | + static $Bi = array(); |
|
| 1748 | + if (!$Bi) { |
|
| 1749 | + for ($i = 0; $i < 8; ++$i) { |
|
| 1750 | + $Bi[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( |
|
| 1751 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][0]), |
|
| 1752 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][1]), |
|
| 1753 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][2]) |
|
| 1754 | + ); |
|
| 1755 | + } |
|
| 1756 | + } |
|
| 1757 | + for ($i = 0; $i < 8; ++$i) { |
|
| 1758 | + $Ai[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( |
|
| 1759 | + self::fe_0(), |
|
| 1760 | + self::fe_0(), |
|
| 1761 | + self::fe_0(), |
|
| 1762 | + self::fe_0() |
|
| 1763 | + ); |
|
| 1764 | + } |
|
| 1765 | + |
|
| 1766 | + # slide(aslide,a); |
|
| 1767 | + # slide(bslide,b); |
|
| 1768 | + /** @var array<int, int> $aslide */ |
|
| 1769 | + $aslide = self::slide($a); |
|
| 1770 | + /** @var array<int, int> $bslide */ |
|
| 1771 | + $bslide = self::slide($b); |
|
| 1772 | + |
|
| 1773 | + # ge_p3_to_cached(&Ai[0],A); |
|
| 1774 | + # ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); |
|
| 1775 | + $Ai[0] = self::ge_p3_to_cached($A); |
|
| 1776 | + $t = self::ge_p3_dbl($A); |
|
| 1777 | + $A2 = self::ge_p1p1_to_p3($t); |
|
| 1778 | + |
|
| 1779 | + # ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); |
|
| 1780 | + # ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); |
|
| 1781 | + # ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); |
|
| 1782 | + # ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); |
|
| 1783 | + # ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); |
|
| 1784 | + # ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); |
|
| 1785 | + # ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); |
|
| 1786 | + for ($i = 0; $i < 7; ++$i) { |
|
| 1787 | + $t = self::ge_add($A2, $Ai[$i]); |
|
| 1788 | + $u = self::ge_p1p1_to_p3($t); |
|
| 1789 | + $Ai[$i + 1] = self::ge_p3_to_cached($u); |
|
| 1790 | + } |
|
| 1791 | + |
|
| 1792 | + # ge_p2_0(r); |
|
| 1793 | + $r = self::ge_p2_0(); |
|
| 1794 | + |
|
| 1795 | + # for (i = 255;i >= 0;--i) { |
|
| 1796 | + # if (aslide[i] || bslide[i]) break; |
|
| 1797 | + # } |
|
| 1798 | + $i = 255; |
|
| 1799 | + for (; $i >= 0; --$i) { |
|
| 1800 | + if ($aslide[$i] || $bslide[$i]) { |
|
| 1801 | + break; |
|
| 1802 | + } |
|
| 1803 | + } |
|
| 1804 | + |
|
| 1805 | + # for (;i >= 0;--i) { |
|
| 1806 | + for (; $i >= 0; --$i) { |
|
| 1807 | + # ge_p2_dbl(&t,r); |
|
| 1808 | + $t = self::ge_p2_dbl($r); |
|
| 1809 | + |
|
| 1810 | + # if (aslide[i] > 0) { |
|
| 1811 | + if ($aslide[$i] > 0) { |
|
| 1812 | + # ge_p1p1_to_p3(&u,&t); |
|
| 1813 | + # ge_add(&t,&u,&Ai[aslide[i]/2]); |
|
| 1814 | + $u = self::ge_p1p1_to_p3($t); |
|
| 1815 | + $t = self::ge_add( |
|
| 1816 | + $u, |
|
| 1817 | + $Ai[(int) floor($aslide[$i] / 2)] |
|
| 1818 | + ); |
|
| 1819 | + # } else if (aslide[i] < 0) { |
|
| 1820 | + } elseif ($aslide[$i] < 0) { |
|
| 1821 | + # ge_p1p1_to_p3(&u,&t); |
|
| 1822 | + # ge_sub(&t,&u,&Ai[(-aslide[i])/2]); |
|
| 1823 | + $u = self::ge_p1p1_to_p3($t); |
|
| 1824 | + $t = self::ge_sub( |
|
| 1825 | + $u, |
|
| 1826 | + $Ai[(int) floor(-$aslide[$i] / 2)] |
|
| 1827 | + ); |
|
| 1828 | + } |
|
| 1829 | + |
|
| 1830 | + # if (bslide[i] > 0) { |
|
| 1831 | + if ($bslide[$i] > 0) { |
|
| 1832 | + /** @var int $index */ |
|
| 1833 | + $index = (int) floor($bslide[$i] / 2); |
|
| 1834 | + # ge_p1p1_to_p3(&u,&t); |
|
| 1835 | + # ge_madd(&t,&u,&Bi[bslide[i]/2]); |
|
| 1836 | + $u = self::ge_p1p1_to_p3($t); |
|
| 1837 | + $t = self::ge_madd($t, $u, $Bi[$index]); |
|
| 1838 | + # } else if (bslide[i] < 0) { |
|
| 1839 | + } elseif ($bslide[$i] < 0) { |
|
| 1840 | + /** @var int $index */ |
|
| 1841 | + $index = (int) floor(-$bslide[$i] / 2); |
|
| 1842 | + # ge_p1p1_to_p3(&u,&t); |
|
| 1843 | + # ge_msub(&t,&u,&Bi[(-bslide[i])/2]); |
|
| 1844 | + $u = self::ge_p1p1_to_p3($t); |
|
| 1845 | + $t = self::ge_msub($t, $u, $Bi[$index]); |
|
| 1846 | + } |
|
| 1847 | + # ge_p1p1_to_p2(r,&t); |
|
| 1848 | + $r = self::ge_p1p1_to_p2($t); |
|
| 1849 | + } |
|
| 1850 | + return $r; |
|
| 1851 | + } |
|
| 1852 | + |
|
| 1853 | + /** |
|
| 1854 | + * @internal You should not use this directly from another application |
|
| 1855 | + * |
|
| 1856 | + * @param string $a |
|
| 1857 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p |
|
| 1858 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1859 | + * @throws SodiumException |
|
| 1860 | + * @throws TypeError |
|
| 1861 | + * @psalm-suppress MixedAssignment |
|
| 1862 | + * @psalm-suppress MixedOperand |
|
| 1863 | + */ |
|
| 1864 | + public static function ge_scalarmult($a, $p) |
|
| 1865 | + { |
|
| 1866 | + $e = array_fill(0, 64, 0); |
|
| 1867 | + |
|
| 1868 | + /** @var ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $pi */ |
|
| 1869 | + $pi = array(); |
|
| 1870 | + |
|
| 1871 | + // ge25519_p3_to_cached(&pi[1 - 1], p); /* p */ |
|
| 1872 | + $pi[0] = self::ge_p3_to_cached($p); |
|
| 1873 | + |
|
| 1874 | + // ge25519_p3_dbl(&t2, p); |
|
| 1875 | + // ge25519_p1p1_to_p3(&p2, &t2); |
|
| 1876 | + // ge25519_p3_to_cached(&pi[2 - 1], &p2); /* 2p = 2*p */ |
|
| 1877 | + $t2 = self::ge_p3_dbl($p); |
|
| 1878 | + $p2 = self::ge_p1p1_to_p3($t2); |
|
| 1879 | + $pi[1] = self::ge_p3_to_cached($p2); |
|
| 1880 | + |
|
| 1881 | + // ge25519_add_cached(&t3, p, &pi[2 - 1]); |
|
| 1882 | + // ge25519_p1p1_to_p3(&p3, &t3); |
|
| 1883 | + // ge25519_p3_to_cached(&pi[3 - 1], &p3); /* 3p = 2p+p */ |
|
| 1884 | + $t3 = self::ge_add($p, $pi[1]); |
|
| 1885 | + $p3 = self::ge_p1p1_to_p3($t3); |
|
| 1886 | + $pi[2] = self::ge_p3_to_cached($p3); |
|
| 1887 | + |
|
| 1888 | + // ge25519_p3_dbl(&t4, &p2); |
|
| 1889 | + // ge25519_p1p1_to_p3(&p4, &t4); |
|
| 1890 | + // ge25519_p3_to_cached(&pi[4 - 1], &p4); /* 4p = 2*2p */ |
|
| 1891 | + $t4 = self::ge_p3_dbl($p2); |
|
| 1892 | + $p4 = self::ge_p1p1_to_p3($t4); |
|
| 1893 | + $pi[3] = self::ge_p3_to_cached($p4); |
|
| 1894 | + |
|
| 1895 | + // ge25519_add_cached(&t5, p, &pi[4 - 1]); |
|
| 1896 | + // ge25519_p1p1_to_p3(&p5, &t5); |
|
| 1897 | + // ge25519_p3_to_cached(&pi[5 - 1], &p5); /* 5p = 4p+p */ |
|
| 1898 | + $t5 = self::ge_add($p, $pi[3]); |
|
| 1899 | + $p5 = self::ge_p1p1_to_p3($t5); |
|
| 1900 | + $pi[4] = self::ge_p3_to_cached($p5); |
|
| 1901 | + |
|
| 1902 | + // ge25519_p3_dbl(&t6, &p3); |
|
| 1903 | + // ge25519_p1p1_to_p3(&p6, &t6); |
|
| 1904 | + // ge25519_p3_to_cached(&pi[6 - 1], &p6); /* 6p = 2*3p */ |
|
| 1905 | + $t6 = self::ge_p3_dbl($p3); |
|
| 1906 | + $p6 = self::ge_p1p1_to_p3($t6); |
|
| 1907 | + $pi[5] = self::ge_p3_to_cached($p6); |
|
| 1908 | + |
|
| 1909 | + // ge25519_add_cached(&t7, p, &pi[6 - 1]); |
|
| 1910 | + // ge25519_p1p1_to_p3(&p7, &t7); |
|
| 1911 | + // ge25519_p3_to_cached(&pi[7 - 1], &p7); /* 7p = 6p+p */ |
|
| 1912 | + $t7 = self::ge_add($p, $pi[5]); |
|
| 1913 | + $p7 = self::ge_p1p1_to_p3($t7); |
|
| 1914 | + $pi[6] = self::ge_p3_to_cached($p7); |
|
| 1915 | + |
|
| 1916 | + // ge25519_p3_dbl(&t8, &p4); |
|
| 1917 | + // ge25519_p1p1_to_p3(&p8, &t8); |
|
| 1918 | + // ge25519_p3_to_cached(&pi[8 - 1], &p8); /* 8p = 2*4p */ |
|
| 1919 | + $t8 = self::ge_p3_dbl($p4); |
|
| 1920 | + $p8 = self::ge_p1p1_to_p3($t8); |
|
| 1921 | + $pi[7] = self::ge_p3_to_cached($p8); |
|
| 1922 | + |
|
| 1923 | + |
|
| 1924 | + // for (i = 0; i < 32; ++i) { |
|
| 1925 | + // e[2 * i + 0] = (a[i] >> 0) & 15; |
|
| 1926 | + // e[2 * i + 1] = (a[i] >> 4) & 15; |
|
| 1927 | + // } |
|
| 1928 | + for ($i = 0; $i < 32; ++$i) { |
|
| 1929 | + $e[($i << 1) ] = self::chrToInt($a[$i]) & 15; |
|
| 1930 | + $e[($i << 1) + 1] = (self::chrToInt($a[$i]) >> 4) & 15; |
|
| 1931 | + } |
|
| 1932 | + // /* each e[i] is between 0 and 15 */ |
|
| 1933 | + // /* e[63] is between 0 and 7 */ |
|
| 1934 | + |
|
| 1935 | + // carry = 0; |
|
| 1936 | + // for (i = 0; i < 63; ++i) { |
|
| 1937 | + // e[i] += carry; |
|
| 1938 | + // carry = e[i] + 8; |
|
| 1939 | + // carry >>= 4; |
|
| 1940 | + // e[i] -= carry * ((signed char) 1 << 4); |
|
| 1941 | + // } |
|
| 1942 | + $carry = 0; |
|
| 1943 | + for ($i = 0; $i < 63; ++$i) { |
|
| 1944 | + $e[$i] += $carry; |
|
| 1945 | + $carry = $e[$i] + 8; |
|
| 1946 | + $carry >>= 4; |
|
| 1947 | + $e[$i] -= $carry << 4; |
|
| 1948 | + } |
|
| 1949 | + // e[63] += carry; |
|
| 1950 | + // /* each e[i] is between -8 and 8 */ |
|
| 1951 | + $e[63] += $carry; |
|
| 1952 | + |
|
| 1953 | + // ge25519_p3_0(h); |
|
| 1954 | + $h = self::ge_p3_0(); |
|
| 1955 | + |
|
| 1956 | + // for (i = 63; i != 0; i--) { |
|
| 1957 | + for ($i = 63; $i != 0; --$i) { |
|
| 1958 | + // ge25519_cmov8_cached(&t, pi, e[i]); |
|
| 1959 | + $t = self::ge_cmov8_cached($pi, $e[$i]); |
|
| 1960 | + // ge25519_add_cached(&r, h, &t); |
|
| 1961 | + $r = self::ge_add($h, $t); |
|
| 1962 | + |
|
| 1963 | + // ge25519_p1p1_to_p2(&s, &r); |
|
| 1964 | + // ge25519_p2_dbl(&r, &s); |
|
| 1965 | + // ge25519_p1p1_to_p2(&s, &r); |
|
| 1966 | + // ge25519_p2_dbl(&r, &s); |
|
| 1967 | + // ge25519_p1p1_to_p2(&s, &r); |
|
| 1968 | + // ge25519_p2_dbl(&r, &s); |
|
| 1969 | + // ge25519_p1p1_to_p2(&s, &r); |
|
| 1970 | + // ge25519_p2_dbl(&r, &s); |
|
| 1971 | + $s = self::ge_p1p1_to_p2($r); |
|
| 1972 | + $r = self::ge_p2_dbl($s); |
|
| 1973 | + $s = self::ge_p1p1_to_p2($r); |
|
| 1974 | + $r = self::ge_p2_dbl($s); |
|
| 1975 | + $s = self::ge_p1p1_to_p2($r); |
|
| 1976 | + $r = self::ge_p2_dbl($s); |
|
| 1977 | + $s = self::ge_p1p1_to_p2($r); |
|
| 1978 | + $r = self::ge_p2_dbl($s); |
|
| 1979 | + |
|
| 1980 | + // ge25519_p1p1_to_p3(h, &r); /* *16 */ |
|
| 1981 | + $h = self::ge_p1p1_to_p3($r); /* *16 */ |
|
| 1982 | + } |
|
| 1983 | + |
|
| 1984 | + // ge25519_cmov8_cached(&t, pi, e[i]); |
|
| 1985 | + // ge25519_add_cached(&r, h, &t); |
|
| 1986 | + // ge25519_p1p1_to_p3(h, &r); |
|
| 1987 | + $t = self::ge_cmov8_cached($pi, $e[0]); |
|
| 1988 | + $r = self::ge_add($h, $t); |
|
| 1989 | + return self::ge_p1p1_to_p3($r); |
|
| 1990 | + } |
|
| 1991 | + |
|
| 1992 | + /** |
|
| 1993 | + * @internal You should not use this directly from another application |
|
| 1994 | + * |
|
| 1995 | + * @param string $a |
|
| 1996 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 1997 | + * @throws SodiumException |
|
| 1998 | + * @throws TypeError |
|
| 1999 | + * @psalm-suppress MixedAssignment |
|
| 2000 | + * @psalm-suppress MixedOperand |
|
| 2001 | + */ |
|
| 2002 | + public static function ge_scalarmult_base($a) |
|
| 2003 | + { |
|
| 2004 | + /** @var array<int, int> $e */ |
|
| 2005 | + $e = array(); |
|
| 2006 | + $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); |
|
| 2007 | + |
|
| 2008 | + for ($i = 0; $i < 32; ++$i) { |
|
| 2009 | + $dbl = (int) $i << 1; |
|
| 2010 | + $e[$dbl] = (int) self::chrToInt($a[$i]) & 15; |
|
| 2011 | + $e[$dbl + 1] = (int) (self::chrToInt($a[$i]) >> 4) & 15; |
|
| 2012 | + } |
|
| 2013 | + |
|
| 2014 | + $carry = 0; |
|
| 2015 | + for ($i = 0; $i < 63; ++$i) { |
|
| 2016 | + $e[$i] += $carry; |
|
| 2017 | + $carry = $e[$i] + 8; |
|
| 2018 | + $carry >>= 4; |
|
| 2019 | + $e[$i] -= $carry << 4; |
|
| 2020 | + } |
|
| 2021 | + $e[63] += (int) $carry; |
|
| 2022 | + |
|
| 2023 | + $h = self::ge_p3_0(); |
|
| 2024 | + |
|
| 2025 | + for ($i = 1; $i < 64; $i += 2) { |
|
| 2026 | + $t = self::ge_select((int) floor($i / 2), (int) $e[$i]); |
|
| 2027 | + $r = self::ge_madd($r, $h, $t); |
|
| 2028 | + $h = self::ge_p1p1_to_p3($r); |
|
| 2029 | + } |
|
| 2030 | + |
|
| 2031 | + $r = self::ge_p3_dbl($h); |
|
| 2032 | + |
|
| 2033 | + $s = self::ge_p1p1_to_p2($r); |
|
| 2034 | + $r = self::ge_p2_dbl($s); |
|
| 2035 | + $s = self::ge_p1p1_to_p2($r); |
|
| 2036 | + $r = self::ge_p2_dbl($s); |
|
| 2037 | + $s = self::ge_p1p1_to_p2($r); |
|
| 2038 | + $r = self::ge_p2_dbl($s); |
|
| 2039 | + |
|
| 2040 | + $h = self::ge_p1p1_to_p3($r); |
|
| 2041 | + |
|
| 2042 | + for ($i = 0; $i < 64; $i += 2) { |
|
| 2043 | + $t = self::ge_select($i >> 1, (int) $e[$i]); |
|
| 2044 | + $r = self::ge_madd($r, $h, $t); |
|
| 2045 | + $h = self::ge_p1p1_to_p3($r); |
|
| 2046 | + } |
|
| 2047 | + return $h; |
|
| 2048 | + } |
|
| 2049 | + |
|
| 2050 | + /** |
|
| 2051 | + * Calculates (ab + c) mod l |
|
| 2052 | + * where l = 2^252 + 27742317777372353535851937790883648493 |
|
| 2053 | + * |
|
| 2054 | + * @internal You should not use this directly from another application |
|
| 2055 | + * |
|
| 2056 | + * @param string $a |
|
| 2057 | + * @param string $b |
|
| 2058 | + * @param string $c |
|
| 2059 | + * @return string |
|
| 2060 | + * @throws TypeError |
|
| 2061 | + */ |
|
| 2062 | + public static function sc_muladd($a, $b, $c) |
|
| 2063 | + { |
|
| 2064 | + $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); |
|
| 2065 | + $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); |
|
| 2066 | + $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); |
|
| 2067 | + $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); |
|
| 2068 | + $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); |
|
| 2069 | + $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); |
|
| 2070 | + $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); |
|
| 2071 | + $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); |
|
| 2072 | + $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); |
|
| 2073 | + $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); |
|
| 2074 | + $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); |
|
| 2075 | + $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); |
|
| 2076 | + |
|
| 2077 | + $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); |
|
| 2078 | + $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); |
|
| 2079 | + $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); |
|
| 2080 | + $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); |
|
| 2081 | + $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); |
|
| 2082 | + $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); |
|
| 2083 | + $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); |
|
| 2084 | + $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); |
|
| 2085 | + $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); |
|
| 2086 | + $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); |
|
| 2087 | + $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); |
|
| 2088 | + $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); |
|
| 2089 | + |
|
| 2090 | + $c0 = 2097151 & self::load_3(self::substr($c, 0, 3)); |
|
| 2091 | + $c1 = 2097151 & (self::load_4(self::substr($c, 2, 4)) >> 5); |
|
| 2092 | + $c2 = 2097151 & (self::load_3(self::substr($c, 5, 3)) >> 2); |
|
| 2093 | + $c3 = 2097151 & (self::load_4(self::substr($c, 7, 4)) >> 7); |
|
| 2094 | + $c4 = 2097151 & (self::load_4(self::substr($c, 10, 4)) >> 4); |
|
| 2095 | + $c5 = 2097151 & (self::load_3(self::substr($c, 13, 3)) >> 1); |
|
| 2096 | + $c6 = 2097151 & (self::load_4(self::substr($c, 15, 4)) >> 6); |
|
| 2097 | + $c7 = 2097151 & (self::load_3(self::substr($c, 18, 3)) >> 3); |
|
| 2098 | + $c8 = 2097151 & self::load_3(self::substr($c, 21, 3)); |
|
| 2099 | + $c9 = 2097151 & (self::load_4(self::substr($c, 23, 4)) >> 5); |
|
| 2100 | + $c10 = 2097151 & (self::load_3(self::substr($c, 26, 3)) >> 2); |
|
| 2101 | + $c11 = (self::load_4(self::substr($c, 28, 4)) >> 7); |
|
| 2102 | + |
|
| 2103 | + /* Can't really avoid the pyramid here: */ |
|
| 2104 | + $s0 = $c0 + self::mul($a0, $b0, 24); |
|
| 2105 | + $s1 = $c1 + self::mul($a0, $b1, 24) + self::mul($a1, $b0, 24); |
|
| 2106 | + $s2 = $c2 + self::mul($a0, $b2, 24) + self::mul($a1, $b1, 24) + self::mul($a2, $b0, 24); |
|
| 2107 | + $s3 = $c3 + self::mul($a0, $b3, 24) + self::mul($a1, $b2, 24) + self::mul($a2, $b1, 24) + self::mul($a3, $b0, 24); |
|
| 2108 | + $s4 = $c4 + self::mul($a0, $b4, 24) + self::mul($a1, $b3, 24) + self::mul($a2, $b2, 24) + self::mul($a3, $b1, 24) + |
|
| 2109 | + self::mul($a4, $b0, 24); |
|
| 2110 | + $s5 = $c5 + self::mul($a0, $b5, 24) + self::mul($a1, $b4, 24) + self::mul($a2, $b3, 24) + self::mul($a3, $b2, 24) + |
|
| 2111 | + self::mul($a4, $b1, 24) + self::mul($a5, $b0, 24); |
|
| 2112 | + $s6 = $c6 + self::mul($a0, $b6, 24) + self::mul($a1, $b5, 24) + self::mul($a2, $b4, 24) + self::mul($a3, $b3, 24) + |
|
| 2113 | + self::mul($a4, $b2, 24) + self::mul($a5, $b1, 24) + self::mul($a6, $b0, 24); |
|
| 2114 | + $s7 = $c7 + self::mul($a0, $b7, 24) + self::mul($a1, $b6, 24) + self::mul($a2, $b5, 24) + self::mul($a3, $b4, 24) + |
|
| 2115 | + self::mul($a4, $b3, 24) + self::mul($a5, $b2, 24) + self::mul($a6, $b1, 24) + self::mul($a7, $b0, 24); |
|
| 2116 | + $s8 = $c8 + self::mul($a0, $b8, 24) + self::mul($a1, $b7, 24) + self::mul($a2, $b6, 24) + self::mul($a3, $b5, 24) + |
|
| 2117 | + self::mul($a4, $b4, 24) + self::mul($a5, $b3, 24) + self::mul($a6, $b2, 24) + self::mul($a7, $b1, 24) + |
|
| 2118 | + self::mul($a8, $b0, 24); |
|
| 2119 | + $s9 = $c9 + self::mul($a0, $b9, 24) + self::mul($a1, $b8, 24) + self::mul($a2, $b7, 24) + self::mul($a3, $b6, 24) + |
|
| 2120 | + self::mul($a4, $b5, 24) + self::mul($a5, $b4, 24) + self::mul($a6, $b3, 24) + self::mul($a7, $b2, 24) + |
|
| 2121 | + self::mul($a8, $b1, 24) + self::mul($a9, $b0, 24); |
|
| 2122 | + $s10 = $c10 + self::mul($a0, $b10, 24) + self::mul($a1, $b9, 24) + self::mul($a2, $b8, 24) + self::mul($a3, $b7, 24) + |
|
| 2123 | + self::mul($a4, $b6, 24) + self::mul($a5, $b5, 24) + self::mul($a6, $b4, 24) + self::mul($a7, $b3, 24) + |
|
| 2124 | + self::mul($a8, $b2, 24) + self::mul($a9, $b1, 24) + self::mul($a10, $b0, 24); |
|
| 2125 | + $s11 = $c11 + self::mul($a0, $b11, 24) + self::mul($a1, $b10, 24) + self::mul($a2, $b9, 24) + self::mul($a3, $b8, 24) + |
|
| 2126 | + self::mul($a4, $b7, 24) + self::mul($a5, $b6, 24) + self::mul($a6, $b5, 24) + self::mul($a7, $b4, 24) + |
|
| 2127 | + self::mul($a8, $b3, 24) + self::mul($a9, $b2, 24) + self::mul($a10, $b1, 24) + self::mul($a11, $b0, 24); |
|
| 2128 | + $s12 = self::mul($a1, $b11, 24) + self::mul($a2, $b10, 24) + self::mul($a3, $b9, 24) + self::mul($a4, $b8, 24) + |
|
| 2129 | + self::mul($a5, $b7, 24) + self::mul($a6, $b6, 24) + self::mul($a7, $b5, 24) + self::mul($a8, $b4, 24) + |
|
| 2130 | + self::mul($a9, $b3, 24) + self::mul($a10, $b2, 24) + self::mul($a11, $b1, 24); |
|
| 2131 | + $s13 = self::mul($a2, $b11, 24) + self::mul($a3, $b10, 24) + self::mul($a4, $b9, 24) + self::mul($a5, $b8, 24) + |
|
| 2132 | + self::mul($a6, $b7, 24) + self::mul($a7, $b6, 24) + self::mul($a8, $b5, 24) + self::mul($a9, $b4, 24) + |
|
| 2133 | + self::mul($a10, $b3, 24) + self::mul($a11, $b2, 24); |
|
| 2134 | + $s14 = self::mul($a3, $b11, 24) + self::mul($a4, $b10, 24) + self::mul($a5, $b9, 24) + self::mul($a6, $b8, 24) + |
|
| 2135 | + self::mul($a7, $b7, 24) + self::mul($a8, $b6, 24) + self::mul($a9, $b5, 24) + self::mul($a10, $b4, 24) + |
|
| 2136 | + self::mul($a11, $b3, 24); |
|
| 2137 | + $s15 = self::mul($a4, $b11, 24) + self::mul($a5, $b10, 24) + self::mul($a6, $b9, 24) + self::mul($a7, $b8, 24) + |
|
| 2138 | + self::mul($a8, $b7, 24) + self::mul($a9, $b6, 24) + self::mul($a10, $b5, 24) + self::mul($a11, $b4, 24); |
|
| 2139 | + $s16 = self::mul($a5, $b11, 24) + self::mul($a6, $b10, 24) + self::mul($a7, $b9, 24) + self::mul($a8, $b8, 24) + |
|
| 2140 | + self::mul($a9, $b7, 24) + self::mul($a10, $b6, 24) + self::mul($a11, $b5, 24); |
|
| 2141 | + $s17 = self::mul($a6, $b11, 24) + self::mul($a7, $b10, 24) + self::mul($a8, $b9, 24) + self::mul($a9, $b8, 24) + |
|
| 2142 | + self::mul($a10, $b7, 24) + self::mul($a11, $b6, 24); |
|
| 2143 | + $s18 = self::mul($a7, $b11, 24) + self::mul($a8, $b10, 24) + self::mul($a9, $b9, 24) + self::mul($a10, $b8, 24) + |
|
| 2144 | + self::mul($a11, $b7, 24); |
|
| 2145 | + $s19 = self::mul($a8, $b11, 24) + self::mul($a9, $b10, 24) + self::mul($a10, $b9, 24) + self::mul($a11, $b8, 24); |
|
| 2146 | + $s20 = self::mul($a9, $b11, 24) + self::mul($a10, $b10, 24) + self::mul($a11, $b9, 24); |
|
| 2147 | + $s21 = self::mul($a10, $b11, 24) + self::mul($a11, $b10, 24); |
|
| 2148 | + $s22 = self::mul($a11, $b11, 24); |
|
| 2149 | + $s23 = 0; |
|
| 2150 | + |
|
| 2151 | + $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2152 | + $s1 += $carry0; |
|
| 2153 | + $s0 -= $carry0 << 21; |
|
| 2154 | + $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2155 | + $s3 += $carry2; |
|
| 2156 | + $s2 -= $carry2 << 21; |
|
| 2157 | + $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2158 | + $s5 += $carry4; |
|
| 2159 | + $s4 -= $carry4 << 21; |
|
| 2160 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2161 | + $s7 += $carry6; |
|
| 2162 | + $s6 -= $carry6 << 21; |
|
| 2163 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2164 | + $s9 += $carry8; |
|
| 2165 | + $s8 -= $carry8 << 21; |
|
| 2166 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2167 | + $s11 += $carry10; |
|
| 2168 | + $s10 -= $carry10 << 21; |
|
| 2169 | + $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2170 | + $s13 += $carry12; |
|
| 2171 | + $s12 -= $carry12 << 21; |
|
| 2172 | + $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2173 | + $s15 += $carry14; |
|
| 2174 | + $s14 -= $carry14 << 21; |
|
| 2175 | + $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2176 | + $s17 += $carry16; |
|
| 2177 | + $s16 -= $carry16 << 21; |
|
| 2178 | + $carry18 = ($s18 + (1 << 20)) >> 21; |
|
| 2179 | + $s19 += $carry18; |
|
| 2180 | + $s18 -= $carry18 << 21; |
|
| 2181 | + $carry20 = ($s20 + (1 << 20)) >> 21; |
|
| 2182 | + $s21 += $carry20; |
|
| 2183 | + $s20 -= $carry20 << 21; |
|
| 2184 | + $carry22 = ($s22 + (1 << 20)) >> 21; |
|
| 2185 | + $s23 += $carry22; |
|
| 2186 | + $s22 -= $carry22 << 21; |
|
| 2187 | + |
|
| 2188 | + $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2189 | + $s2 += $carry1; |
|
| 2190 | + $s1 -= $carry1 << 21; |
|
| 2191 | + $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2192 | + $s4 += $carry3; |
|
| 2193 | + $s3 -= $carry3 << 21; |
|
| 2194 | + $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2195 | + $s6 += $carry5; |
|
| 2196 | + $s5 -= $carry5 << 21; |
|
| 2197 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2198 | + $s8 += $carry7; |
|
| 2199 | + $s7 -= $carry7 << 21; |
|
| 2200 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2201 | + $s10 += $carry9; |
|
| 2202 | + $s9 -= $carry9 << 21; |
|
| 2203 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2204 | + $s12 += $carry11; |
|
| 2205 | + $s11 -= $carry11 << 21; |
|
| 2206 | + $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2207 | + $s14 += $carry13; |
|
| 2208 | + $s13 -= $carry13 << 21; |
|
| 2209 | + $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2210 | + $s16 += $carry15; |
|
| 2211 | + $s15 -= $carry15 << 21; |
|
| 2212 | + $carry17 = ($s17 + (1 << 20)) >> 21; |
|
| 2213 | + $s18 += $carry17; |
|
| 2214 | + $s17 -= $carry17 << 21; |
|
| 2215 | + $carry19 = ($s19 + (1 << 20)) >> 21; |
|
| 2216 | + $s20 += $carry19; |
|
| 2217 | + $s19 -= $carry19 << 21; |
|
| 2218 | + $carry21 = ($s21 + (1 << 20)) >> 21; |
|
| 2219 | + $s22 += $carry21; |
|
| 2220 | + $s21 -= $carry21 << 21; |
|
| 2221 | + |
|
| 2222 | + $s11 += self::mul($s23, 666643, 20); |
|
| 2223 | + $s12 += self::mul($s23, 470296, 19); |
|
| 2224 | + $s13 += self::mul($s23, 654183, 20); |
|
| 2225 | + $s14 -= self::mul($s23, 997805, 20); |
|
| 2226 | + $s15 += self::mul($s23, 136657, 18); |
|
| 2227 | + $s16 -= self::mul($s23, 683901, 20); |
|
| 2228 | + |
|
| 2229 | + $s10 += self::mul($s22, 666643, 20); |
|
| 2230 | + $s11 += self::mul($s22, 470296, 19); |
|
| 2231 | + $s12 += self::mul($s22, 654183, 20); |
|
| 2232 | + $s13 -= self::mul($s22, 997805, 20); |
|
| 2233 | + $s14 += self::mul($s22, 136657, 18); |
|
| 2234 | + $s15 -= self::mul($s22, 683901, 20); |
|
| 2235 | + |
|
| 2236 | + $s9 += self::mul($s21, 666643, 20); |
|
| 2237 | + $s10 += self::mul($s21, 470296, 19); |
|
| 2238 | + $s11 += self::mul($s21, 654183, 20); |
|
| 2239 | + $s12 -= self::mul($s21, 997805, 20); |
|
| 2240 | + $s13 += self::mul($s21, 136657, 18); |
|
| 2241 | + $s14 -= self::mul($s21, 683901, 20); |
|
| 2242 | + |
|
| 2243 | + $s8 += self::mul($s20, 666643, 20); |
|
| 2244 | + $s9 += self::mul($s20, 470296, 19); |
|
| 2245 | + $s10 += self::mul($s20, 654183, 20); |
|
| 2246 | + $s11 -= self::mul($s20, 997805, 20); |
|
| 2247 | + $s12 += self::mul($s20, 136657, 18); |
|
| 2248 | + $s13 -= self::mul($s20, 683901, 20); |
|
| 2249 | + |
|
| 2250 | + $s7 += self::mul($s19, 666643, 20); |
|
| 2251 | + $s8 += self::mul($s19, 470296, 19); |
|
| 2252 | + $s9 += self::mul($s19, 654183, 20); |
|
| 2253 | + $s10 -= self::mul($s19, 997805, 20); |
|
| 2254 | + $s11 += self::mul($s19, 136657, 18); |
|
| 2255 | + $s12 -= self::mul($s19, 683901, 20); |
|
| 2256 | + |
|
| 2257 | + $s6 += self::mul($s18, 666643, 20); |
|
| 2258 | + $s7 += self::mul($s18, 470296, 19); |
|
| 2259 | + $s8 += self::mul($s18, 654183, 20); |
|
| 2260 | + $s9 -= self::mul($s18, 997805, 20); |
|
| 2261 | + $s10 += self::mul($s18, 136657, 18); |
|
| 2262 | + $s11 -= self::mul($s18, 683901, 20); |
|
| 2263 | + |
|
| 2264 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2265 | + $s7 += $carry6; |
|
| 2266 | + $s6 -= $carry6 << 21; |
|
| 2267 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2268 | + $s9 += $carry8; |
|
| 2269 | + $s8 -= $carry8 << 21; |
|
| 2270 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2271 | + $s11 += $carry10; |
|
| 2272 | + $s10 -= $carry10 << 21; |
|
| 2273 | + $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2274 | + $s13 += $carry12; |
|
| 2275 | + $s12 -= $carry12 << 21; |
|
| 2276 | + $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2277 | + $s15 += $carry14; |
|
| 2278 | + $s14 -= $carry14 << 21; |
|
| 2279 | + $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2280 | + $s17 += $carry16; |
|
| 2281 | + $s16 -= $carry16 << 21; |
|
| 2282 | + |
|
| 2283 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2284 | + $s8 += $carry7; |
|
| 2285 | + $s7 -= $carry7 << 21; |
|
| 2286 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2287 | + $s10 += $carry9; |
|
| 2288 | + $s9 -= $carry9 << 21; |
|
| 2289 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2290 | + $s12 += $carry11; |
|
| 2291 | + $s11 -= $carry11 << 21; |
|
| 2292 | + $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2293 | + $s14 += $carry13; |
|
| 2294 | + $s13 -= $carry13 << 21; |
|
| 2295 | + $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2296 | + $s16 += $carry15; |
|
| 2297 | + $s15 -= $carry15 << 21; |
|
| 2298 | + |
|
| 2299 | + $s5 += self::mul($s17, 666643, 20); |
|
| 2300 | + $s6 += self::mul($s17, 470296, 19); |
|
| 2301 | + $s7 += self::mul($s17, 654183, 20); |
|
| 2302 | + $s8 -= self::mul($s17, 997805, 20); |
|
| 2303 | + $s9 += self::mul($s17, 136657, 18); |
|
| 2304 | + $s10 -= self::mul($s17, 683901, 20); |
|
| 2305 | + |
|
| 2306 | + $s4 += self::mul($s16, 666643, 20); |
|
| 2307 | + $s5 += self::mul($s16, 470296, 19); |
|
| 2308 | + $s6 += self::mul($s16, 654183, 20); |
|
| 2309 | + $s7 -= self::mul($s16, 997805, 20); |
|
| 2310 | + $s8 += self::mul($s16, 136657, 18); |
|
| 2311 | + $s9 -= self::mul($s16, 683901, 20); |
|
| 2312 | + |
|
| 2313 | + $s3 += self::mul($s15, 666643, 20); |
|
| 2314 | + $s4 += self::mul($s15, 470296, 19); |
|
| 2315 | + $s5 += self::mul($s15, 654183, 20); |
|
| 2316 | + $s6 -= self::mul($s15, 997805, 20); |
|
| 2317 | + $s7 += self::mul($s15, 136657, 18); |
|
| 2318 | + $s8 -= self::mul($s15, 683901, 20); |
|
| 2319 | + |
|
| 2320 | + $s2 += self::mul($s14, 666643, 20); |
|
| 2321 | + $s3 += self::mul($s14, 470296, 19); |
|
| 2322 | + $s4 += self::mul($s14, 654183, 20); |
|
| 2323 | + $s5 -= self::mul($s14, 997805, 20); |
|
| 2324 | + $s6 += self::mul($s14, 136657, 18); |
|
| 2325 | + $s7 -= self::mul($s14, 683901, 20); |
|
| 2326 | + |
|
| 2327 | + $s1 += self::mul($s13, 666643, 20); |
|
| 2328 | + $s2 += self::mul($s13, 470296, 19); |
|
| 2329 | + $s3 += self::mul($s13, 654183, 20); |
|
| 2330 | + $s4 -= self::mul($s13, 997805, 20); |
|
| 2331 | + $s5 += self::mul($s13, 136657, 18); |
|
| 2332 | + $s6 -= self::mul($s13, 683901, 20); |
|
| 2333 | + |
|
| 2334 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2335 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2336 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2337 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2338 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2339 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2340 | + $s12 = 0; |
|
| 2341 | + |
|
| 2342 | + $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2343 | + $s1 += $carry0; |
|
| 2344 | + $s0 -= $carry0 << 21; |
|
| 2345 | + $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2346 | + $s3 += $carry2; |
|
| 2347 | + $s2 -= $carry2 << 21; |
|
| 2348 | + $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2349 | + $s5 += $carry4; |
|
| 2350 | + $s4 -= $carry4 << 21; |
|
| 2351 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2352 | + $s7 += $carry6; |
|
| 2353 | + $s6 -= $carry6 << 21; |
|
| 2354 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2355 | + $s9 += $carry8; |
|
| 2356 | + $s8 -= $carry8 << 21; |
|
| 2357 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2358 | + $s11 += $carry10; |
|
| 2359 | + $s10 -= $carry10 << 21; |
|
| 2360 | + |
|
| 2361 | + $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2362 | + $s2 += $carry1; |
|
| 2363 | + $s1 -= $carry1 << 21; |
|
| 2364 | + $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2365 | + $s4 += $carry3; |
|
| 2366 | + $s3 -= $carry3 << 21; |
|
| 2367 | + $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2368 | + $s6 += $carry5; |
|
| 2369 | + $s5 -= $carry5 << 21; |
|
| 2370 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2371 | + $s8 += $carry7; |
|
| 2372 | + $s7 -= $carry7 << 21; |
|
| 2373 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2374 | + $s10 += $carry9; |
|
| 2375 | + $s9 -= $carry9 << 21; |
|
| 2376 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2377 | + $s12 += $carry11; |
|
| 2378 | + $s11 -= $carry11 << 21; |
|
| 2379 | + |
|
| 2380 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2381 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2382 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2383 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2384 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2385 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2386 | + $s12 = 0; |
|
| 2387 | + |
|
| 2388 | + $carry0 = $s0 >> 21; |
|
| 2389 | + $s1 += $carry0; |
|
| 2390 | + $s0 -= $carry0 << 21; |
|
| 2391 | + $carry1 = $s1 >> 21; |
|
| 2392 | + $s2 += $carry1; |
|
| 2393 | + $s1 -= $carry1 << 21; |
|
| 2394 | + $carry2 = $s2 >> 21; |
|
| 2395 | + $s3 += $carry2; |
|
| 2396 | + $s2 -= $carry2 << 21; |
|
| 2397 | + $carry3 = $s3 >> 21; |
|
| 2398 | + $s4 += $carry3; |
|
| 2399 | + $s3 -= $carry3 << 21; |
|
| 2400 | + $carry4 = $s4 >> 21; |
|
| 2401 | + $s5 += $carry4; |
|
| 2402 | + $s4 -= $carry4 << 21; |
|
| 2403 | + $carry5 = $s5 >> 21; |
|
| 2404 | + $s6 += $carry5; |
|
| 2405 | + $s5 -= $carry5 << 21; |
|
| 2406 | + $carry6 = $s6 >> 21; |
|
| 2407 | + $s7 += $carry6; |
|
| 2408 | + $s6 -= $carry6 << 21; |
|
| 2409 | + $carry7 = $s7 >> 21; |
|
| 2410 | + $s8 += $carry7; |
|
| 2411 | + $s7 -= $carry7 << 21; |
|
| 2412 | + $carry8 = $s8 >> 21; |
|
| 2413 | + $s9 += $carry8; |
|
| 2414 | + $s8 -= $carry8 << 21; |
|
| 2415 | + $carry9 = $s9 >> 21; |
|
| 2416 | + $s10 += $carry9; |
|
| 2417 | + $s9 -= $carry9 << 21; |
|
| 2418 | + $carry10 = $s10 >> 21; |
|
| 2419 | + $s11 += $carry10; |
|
| 2420 | + $s10 -= $carry10 << 21; |
|
| 2421 | + $carry11 = $s11 >> 21; |
|
| 2422 | + $s12 += $carry11; |
|
| 2423 | + $s11 -= $carry11 << 21; |
|
| 2424 | + |
|
| 2425 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2426 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2427 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2428 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2429 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2430 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2431 | + |
|
| 2432 | + $carry0 = $s0 >> 21; |
|
| 2433 | + $s1 += $carry0; |
|
| 2434 | + $s0 -= $carry0 << 21; |
|
| 2435 | + $carry1 = $s1 >> 21; |
|
| 2436 | + $s2 += $carry1; |
|
| 2437 | + $s1 -= $carry1 << 21; |
|
| 2438 | + $carry2 = $s2 >> 21; |
|
| 2439 | + $s3 += $carry2; |
|
| 2440 | + $s2 -= $carry2 << 21; |
|
| 2441 | + $carry3 = $s3 >> 21; |
|
| 2442 | + $s4 += $carry3; |
|
| 2443 | + $s3 -= $carry3 << 21; |
|
| 2444 | + $carry4 = $s4 >> 21; |
|
| 2445 | + $s5 += $carry4; |
|
| 2446 | + $s4 -= $carry4 << 21; |
|
| 2447 | + $carry5 = $s5 >> 21; |
|
| 2448 | + $s6 += $carry5; |
|
| 2449 | + $s5 -= $carry5 << 21; |
|
| 2450 | + $carry6 = $s6 >> 21; |
|
| 2451 | + $s7 += $carry6; |
|
| 2452 | + $s6 -= $carry6 << 21; |
|
| 2453 | + $carry7 = $s7 >> 21; |
|
| 2454 | + $s8 += $carry7; |
|
| 2455 | + $s7 -= $carry7 << 21; |
|
| 2456 | + $carry8 = $s8 >> 21; |
|
| 2457 | + $s9 += $carry8; |
|
| 2458 | + $s8 -= $carry8 << 21; |
|
| 2459 | + $carry9 = $s9 >> 21; |
|
| 2460 | + $s10 += $carry9; |
|
| 2461 | + $s9 -= $carry9 << 21; |
|
| 2462 | + $carry10 = $s10 >> 21; |
|
| 2463 | + $s11 += $carry10; |
|
| 2464 | + $s10 -= $carry10 << 21; |
|
| 2465 | + |
|
| 2466 | + /** |
|
| 2467 | + * @var array<int, int> |
|
| 2468 | + */ |
|
| 2469 | + $arr = array( |
|
| 2470 | + (int) (0xff & ($s0 >> 0)), |
|
| 2471 | + (int) (0xff & ($s0 >> 8)), |
|
| 2472 | + (int) (0xff & (($s0 >> 16) | $s1 << 5)), |
|
| 2473 | + (int) (0xff & ($s1 >> 3)), |
|
| 2474 | + (int) (0xff & ($s1 >> 11)), |
|
| 2475 | + (int) (0xff & (($s1 >> 19) | $s2 << 2)), |
|
| 2476 | + (int) (0xff & ($s2 >> 6)), |
|
| 2477 | + (int) (0xff & (($s2 >> 14) | $s3 << 7)), |
|
| 2478 | + (int) (0xff & ($s3 >> 1)), |
|
| 2479 | + (int) (0xff & ($s3 >> 9)), |
|
| 2480 | + (int) (0xff & (($s3 >> 17) | $s4 << 4)), |
|
| 2481 | + (int) (0xff & ($s4 >> 4)), |
|
| 2482 | + (int) (0xff & ($s4 >> 12)), |
|
| 2483 | + (int) (0xff & (($s4 >> 20) | $s5 << 1)), |
|
| 2484 | + (int) (0xff & ($s5 >> 7)), |
|
| 2485 | + (int) (0xff & (($s5 >> 15) | $s6 << 6)), |
|
| 2486 | + (int) (0xff & ($s6 >> 2)), |
|
| 2487 | + (int) (0xff & ($s6 >> 10)), |
|
| 2488 | + (int) (0xff & (($s6 >> 18) | $s7 << 3)), |
|
| 2489 | + (int) (0xff & ($s7 >> 5)), |
|
| 2490 | + (int) (0xff & ($s7 >> 13)), |
|
| 2491 | + (int) (0xff & ($s8 >> 0)), |
|
| 2492 | + (int) (0xff & ($s8 >> 8)), |
|
| 2493 | + (int) (0xff & (($s8 >> 16) | $s9 << 5)), |
|
| 2494 | + (int) (0xff & ($s9 >> 3)), |
|
| 2495 | + (int) (0xff & ($s9 >> 11)), |
|
| 2496 | + (int) (0xff & (($s9 >> 19) | $s10 << 2)), |
|
| 2497 | + (int) (0xff & ($s10 >> 6)), |
|
| 2498 | + (int) (0xff & (($s10 >> 14) | $s11 << 7)), |
|
| 2499 | + (int) (0xff & ($s11 >> 1)), |
|
| 2500 | + (int) (0xff & ($s11 >> 9)), |
|
| 2501 | + 0xff & ($s11 >> 17) |
|
| 2502 | + ); |
|
| 2503 | + return self::intArrayToString($arr); |
|
| 2504 | + } |
|
| 2505 | + |
|
| 2506 | + /** |
|
| 2507 | + * @internal You should not use this directly from another application |
|
| 2508 | + * |
|
| 2509 | + * @param string $s |
|
| 2510 | + * @return string |
|
| 2511 | + * @throws TypeError |
|
| 2512 | + */ |
|
| 2513 | + public static function sc_reduce($s) |
|
| 2514 | + { |
|
| 2515 | + $s0 = 2097151 & self::load_3(self::substr($s, 0, 3)); |
|
| 2516 | + $s1 = 2097151 & (self::load_4(self::substr($s, 2, 4)) >> 5); |
|
| 2517 | + $s2 = 2097151 & (self::load_3(self::substr($s, 5, 3)) >> 2); |
|
| 2518 | + $s3 = 2097151 & (self::load_4(self::substr($s, 7, 4)) >> 7); |
|
| 2519 | + $s4 = 2097151 & (self::load_4(self::substr($s, 10, 4)) >> 4); |
|
| 2520 | + $s5 = 2097151 & (self::load_3(self::substr($s, 13, 3)) >> 1); |
|
| 2521 | + $s6 = 2097151 & (self::load_4(self::substr($s, 15, 4)) >> 6); |
|
| 2522 | + $s7 = 2097151 & (self::load_3(self::substr($s, 18, 4)) >> 3); |
|
| 2523 | + $s8 = 2097151 & self::load_3(self::substr($s, 21, 3)); |
|
| 2524 | + $s9 = 2097151 & (self::load_4(self::substr($s, 23, 4)) >> 5); |
|
| 2525 | + $s10 = 2097151 & (self::load_3(self::substr($s, 26, 3)) >> 2); |
|
| 2526 | + $s11 = 2097151 & (self::load_4(self::substr($s, 28, 4)) >> 7); |
|
| 2527 | + $s12 = 2097151 & (self::load_4(self::substr($s, 31, 4)) >> 4); |
|
| 2528 | + $s13 = 2097151 & (self::load_3(self::substr($s, 34, 3)) >> 1); |
|
| 2529 | + $s14 = 2097151 & (self::load_4(self::substr($s, 36, 4)) >> 6); |
|
| 2530 | + $s15 = 2097151 & (self::load_3(self::substr($s, 39, 4)) >> 3); |
|
| 2531 | + $s16 = 2097151 & self::load_3(self::substr($s, 42, 3)); |
|
| 2532 | + $s17 = 2097151 & (self::load_4(self::substr($s, 44, 4)) >> 5); |
|
| 2533 | + $s18 = 2097151 & (self::load_3(self::substr($s, 47, 3)) >> 2); |
|
| 2534 | + $s19 = 2097151 & (self::load_4(self::substr($s, 49, 4)) >> 7); |
|
| 2535 | + $s20 = 2097151 & (self::load_4(self::substr($s, 52, 4)) >> 4); |
|
| 2536 | + $s21 = 2097151 & (self::load_3(self::substr($s, 55, 3)) >> 1); |
|
| 2537 | + $s22 = 2097151 & (self::load_4(self::substr($s, 57, 4)) >> 6); |
|
| 2538 | + $s23 = (self::load_4(self::substr($s, 60, 4)) >> 3); |
|
| 2539 | + |
|
| 2540 | + $s11 += self::mul($s23, 666643, 20); |
|
| 2541 | + $s12 += self::mul($s23, 470296, 19); |
|
| 2542 | + $s13 += self::mul($s23, 654183, 20); |
|
| 2543 | + $s14 -= self::mul($s23, 997805, 20); |
|
| 2544 | + $s15 += self::mul($s23, 136657, 18); |
|
| 2545 | + $s16 -= self::mul($s23, 683901, 20); |
|
| 2546 | + |
|
| 2547 | + $s10 += self::mul($s22, 666643, 20); |
|
| 2548 | + $s11 += self::mul($s22, 470296, 19); |
|
| 2549 | + $s12 += self::mul($s22, 654183, 20); |
|
| 2550 | + $s13 -= self::mul($s22, 997805, 20); |
|
| 2551 | + $s14 += self::mul($s22, 136657, 18); |
|
| 2552 | + $s15 -= self::mul($s22, 683901, 20); |
|
| 2553 | + |
|
| 2554 | + $s9 += self::mul($s21, 666643, 20); |
|
| 2555 | + $s10 += self::mul($s21, 470296, 19); |
|
| 2556 | + $s11 += self::mul($s21, 654183, 20); |
|
| 2557 | + $s12 -= self::mul($s21, 997805, 20); |
|
| 2558 | + $s13 += self::mul($s21, 136657, 18); |
|
| 2559 | + $s14 -= self::mul($s21, 683901, 20); |
|
| 2560 | + |
|
| 2561 | + $s8 += self::mul($s20, 666643, 20); |
|
| 2562 | + $s9 += self::mul($s20, 470296, 19); |
|
| 2563 | + $s10 += self::mul($s20, 654183, 20); |
|
| 2564 | + $s11 -= self::mul($s20, 997805, 20); |
|
| 2565 | + $s12 += self::mul($s20, 136657, 18); |
|
| 2566 | + $s13 -= self::mul($s20, 683901, 20); |
|
| 2567 | + |
|
| 2568 | + $s7 += self::mul($s19, 666643, 20); |
|
| 2569 | + $s8 += self::mul($s19, 470296, 19); |
|
| 2570 | + $s9 += self::mul($s19, 654183, 20); |
|
| 2571 | + $s10 -= self::mul($s19, 997805, 20); |
|
| 2572 | + $s11 += self::mul($s19, 136657, 18); |
|
| 2573 | + $s12 -= self::mul($s19, 683901, 20); |
|
| 2574 | + |
|
| 2575 | + $s6 += self::mul($s18, 666643, 20); |
|
| 2576 | + $s7 += self::mul($s18, 470296, 19); |
|
| 2577 | + $s8 += self::mul($s18, 654183, 20); |
|
| 2578 | + $s9 -= self::mul($s18, 997805, 20); |
|
| 2579 | + $s10 += self::mul($s18, 136657, 18); |
|
| 2580 | + $s11 -= self::mul($s18, 683901, 20); |
|
| 2581 | + |
|
| 2582 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2583 | + $s7 += $carry6; |
|
| 2584 | + $s6 -= $carry6 << 21; |
|
| 2585 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2586 | + $s9 += $carry8; |
|
| 2587 | + $s8 -= $carry8 << 21; |
|
| 2588 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2589 | + $s11 += $carry10; |
|
| 2590 | + $s10 -= $carry10 << 21; |
|
| 2591 | + $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 2592 | + $s13 += $carry12; |
|
| 2593 | + $s12 -= $carry12 << 21; |
|
| 2594 | + $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 2595 | + $s15 += $carry14; |
|
| 2596 | + $s14 -= $carry14 << 21; |
|
| 2597 | + $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 2598 | + $s17 += $carry16; |
|
| 2599 | + $s16 -= $carry16 << 21; |
|
| 2600 | + |
|
| 2601 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2602 | + $s8 += $carry7; |
|
| 2603 | + $s7 -= $carry7 << 21; |
|
| 2604 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2605 | + $s10 += $carry9; |
|
| 2606 | + $s9 -= $carry9 << 21; |
|
| 2607 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2608 | + $s12 += $carry11; |
|
| 2609 | + $s11 -= $carry11 << 21; |
|
| 2610 | + $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 2611 | + $s14 += $carry13; |
|
| 2612 | + $s13 -= $carry13 << 21; |
|
| 2613 | + $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 2614 | + $s16 += $carry15; |
|
| 2615 | + $s15 -= $carry15 << 21; |
|
| 2616 | + |
|
| 2617 | + $s5 += self::mul($s17, 666643, 20); |
|
| 2618 | + $s6 += self::mul($s17, 470296, 19); |
|
| 2619 | + $s7 += self::mul($s17, 654183, 20); |
|
| 2620 | + $s8 -= self::mul($s17, 997805, 20); |
|
| 2621 | + $s9 += self::mul($s17, 136657, 18); |
|
| 2622 | + $s10 -= self::mul($s17, 683901, 20); |
|
| 2623 | + |
|
| 2624 | + $s4 += self::mul($s16, 666643, 20); |
|
| 2625 | + $s5 += self::mul($s16, 470296, 19); |
|
| 2626 | + $s6 += self::mul($s16, 654183, 20); |
|
| 2627 | + $s7 -= self::mul($s16, 997805, 20); |
|
| 2628 | + $s8 += self::mul($s16, 136657, 18); |
|
| 2629 | + $s9 -= self::mul($s16, 683901, 20); |
|
| 2630 | + |
|
| 2631 | + $s3 += self::mul($s15, 666643, 20); |
|
| 2632 | + $s4 += self::mul($s15, 470296, 19); |
|
| 2633 | + $s5 += self::mul($s15, 654183, 20); |
|
| 2634 | + $s6 -= self::mul($s15, 997805, 20); |
|
| 2635 | + $s7 += self::mul($s15, 136657, 18); |
|
| 2636 | + $s8 -= self::mul($s15, 683901, 20); |
|
| 2637 | + |
|
| 2638 | + $s2 += self::mul($s14, 666643, 20); |
|
| 2639 | + $s3 += self::mul($s14, 470296, 19); |
|
| 2640 | + $s4 += self::mul($s14, 654183, 20); |
|
| 2641 | + $s5 -= self::mul($s14, 997805, 20); |
|
| 2642 | + $s6 += self::mul($s14, 136657, 18); |
|
| 2643 | + $s7 -= self::mul($s14, 683901, 20); |
|
| 2644 | + |
|
| 2645 | + $s1 += self::mul($s13, 666643, 20); |
|
| 2646 | + $s2 += self::mul($s13, 470296, 19); |
|
| 2647 | + $s3 += self::mul($s13, 654183, 20); |
|
| 2648 | + $s4 -= self::mul($s13, 997805, 20); |
|
| 2649 | + $s5 += self::mul($s13, 136657, 18); |
|
| 2650 | + $s6 -= self::mul($s13, 683901, 20); |
|
| 2651 | + |
|
| 2652 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2653 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2654 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2655 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2656 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2657 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2658 | + $s12 = 0; |
|
| 2659 | + |
|
| 2660 | + $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 2661 | + $s1 += $carry0; |
|
| 2662 | + $s0 -= $carry0 << 21; |
|
| 2663 | + $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 2664 | + $s3 += $carry2; |
|
| 2665 | + $s2 -= $carry2 << 21; |
|
| 2666 | + $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 2667 | + $s5 += $carry4; |
|
| 2668 | + $s4 -= $carry4 << 21; |
|
| 2669 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 2670 | + $s7 += $carry6; |
|
| 2671 | + $s6 -= $carry6 << 21; |
|
| 2672 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 2673 | + $s9 += $carry8; |
|
| 2674 | + $s8 -= $carry8 << 21; |
|
| 2675 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 2676 | + $s11 += $carry10; |
|
| 2677 | + $s10 -= $carry10 << 21; |
|
| 2678 | + |
|
| 2679 | + $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 2680 | + $s2 += $carry1; |
|
| 2681 | + $s1 -= $carry1 << 21; |
|
| 2682 | + $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 2683 | + $s4 += $carry3; |
|
| 2684 | + $s3 -= $carry3 << 21; |
|
| 2685 | + $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 2686 | + $s6 += $carry5; |
|
| 2687 | + $s5 -= $carry5 << 21; |
|
| 2688 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 2689 | + $s8 += $carry7; |
|
| 2690 | + $s7 -= $carry7 << 21; |
|
| 2691 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 2692 | + $s10 += $carry9; |
|
| 2693 | + $s9 -= $carry9 << 21; |
|
| 2694 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 2695 | + $s12 += $carry11; |
|
| 2696 | + $s11 -= $carry11 << 21; |
|
| 2697 | + |
|
| 2698 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2699 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2700 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2701 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2702 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2703 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2704 | + $s12 = 0; |
|
| 2705 | + |
|
| 2706 | + $carry0 = $s0 >> 21; |
|
| 2707 | + $s1 += $carry0; |
|
| 2708 | + $s0 -= $carry0 << 21; |
|
| 2709 | + $carry1 = $s1 >> 21; |
|
| 2710 | + $s2 += $carry1; |
|
| 2711 | + $s1 -= $carry1 << 21; |
|
| 2712 | + $carry2 = $s2 >> 21; |
|
| 2713 | + $s3 += $carry2; |
|
| 2714 | + $s2 -= $carry2 << 21; |
|
| 2715 | + $carry3 = $s3 >> 21; |
|
| 2716 | + $s4 += $carry3; |
|
| 2717 | + $s3 -= $carry3 << 21; |
|
| 2718 | + $carry4 = $s4 >> 21; |
|
| 2719 | + $s5 += $carry4; |
|
| 2720 | + $s4 -= $carry4 << 21; |
|
| 2721 | + $carry5 = $s5 >> 21; |
|
| 2722 | + $s6 += $carry5; |
|
| 2723 | + $s5 -= $carry5 << 21; |
|
| 2724 | + $carry6 = $s6 >> 21; |
|
| 2725 | + $s7 += $carry6; |
|
| 2726 | + $s6 -= $carry6 << 21; |
|
| 2727 | + $carry7 = $s7 >> 21; |
|
| 2728 | + $s8 += $carry7; |
|
| 2729 | + $s7 -= $carry7 << 21; |
|
| 2730 | + $carry8 = $s8 >> 21; |
|
| 2731 | + $s9 += $carry8; |
|
| 2732 | + $s8 -= $carry8 << 21; |
|
| 2733 | + $carry9 = $s9 >> 21; |
|
| 2734 | + $s10 += $carry9; |
|
| 2735 | + $s9 -= $carry9 << 21; |
|
| 2736 | + $carry10 = $s10 >> 21; |
|
| 2737 | + $s11 += $carry10; |
|
| 2738 | + $s10 -= $carry10 << 21; |
|
| 2739 | + $carry11 = $s11 >> 21; |
|
| 2740 | + $s12 += $carry11; |
|
| 2741 | + $s11 -= $carry11 << 21; |
|
| 2742 | + |
|
| 2743 | + $s0 += self::mul($s12, 666643, 20); |
|
| 2744 | + $s1 += self::mul($s12, 470296, 19); |
|
| 2745 | + $s2 += self::mul($s12, 654183, 20); |
|
| 2746 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 2747 | + $s4 += self::mul($s12, 136657, 18); |
|
| 2748 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 2749 | + |
|
| 2750 | + $carry0 = $s0 >> 21; |
|
| 2751 | + $s1 += $carry0; |
|
| 2752 | + $s0 -= $carry0 << 21; |
|
| 2753 | + $carry1 = $s1 >> 21; |
|
| 2754 | + $s2 += $carry1; |
|
| 2755 | + $s1 -= $carry1 << 21; |
|
| 2756 | + $carry2 = $s2 >> 21; |
|
| 2757 | + $s3 += $carry2; |
|
| 2758 | + $s2 -= $carry2 << 21; |
|
| 2759 | + $carry3 = $s3 >> 21; |
|
| 2760 | + $s4 += $carry3; |
|
| 2761 | + $s3 -= $carry3 << 21; |
|
| 2762 | + $carry4 = $s4 >> 21; |
|
| 2763 | + $s5 += $carry4; |
|
| 2764 | + $s4 -= $carry4 << 21; |
|
| 2765 | + $carry5 = $s5 >> 21; |
|
| 2766 | + $s6 += $carry5; |
|
| 2767 | + $s5 -= $carry5 << 21; |
|
| 2768 | + $carry6 = $s6 >> 21; |
|
| 2769 | + $s7 += $carry6; |
|
| 2770 | + $s6 -= $carry6 << 21; |
|
| 2771 | + $carry7 = $s7 >> 21; |
|
| 2772 | + $s8 += $carry7; |
|
| 2773 | + $s7 -= $carry7 << 21; |
|
| 2774 | + $carry8 = $s8 >> 21; |
|
| 2775 | + $s9 += $carry8; |
|
| 2776 | + $s8 -= $carry8 << 21; |
|
| 2777 | + $carry9 = $s9 >> 21; |
|
| 2778 | + $s10 += $carry9; |
|
| 2779 | + $s9 -= $carry9 << 21; |
|
| 2780 | + $carry10 = $s10 >> 21; |
|
| 2781 | + $s11 += $carry10; |
|
| 2782 | + $s10 -= $carry10 << 21; |
|
| 2783 | + |
|
| 2784 | + /** |
|
| 2785 | + * @var array<int, int> |
|
| 2786 | + */ |
|
| 2787 | + $arr = array( |
|
| 2788 | + (int) ($s0 >> 0), |
|
| 2789 | + (int) ($s0 >> 8), |
|
| 2790 | + (int) (($s0 >> 16) | $s1 << 5), |
|
| 2791 | + (int) ($s1 >> 3), |
|
| 2792 | + (int) ($s1 >> 11), |
|
| 2793 | + (int) (($s1 >> 19) | $s2 << 2), |
|
| 2794 | + (int) ($s2 >> 6), |
|
| 2795 | + (int) (($s2 >> 14) | $s3 << 7), |
|
| 2796 | + (int) ($s3 >> 1), |
|
| 2797 | + (int) ($s3 >> 9), |
|
| 2798 | + (int) (($s3 >> 17) | $s4 << 4), |
|
| 2799 | + (int) ($s4 >> 4), |
|
| 2800 | + (int) ($s4 >> 12), |
|
| 2801 | + (int) (($s4 >> 20) | $s5 << 1), |
|
| 2802 | + (int) ($s5 >> 7), |
|
| 2803 | + (int) (($s5 >> 15) | $s6 << 6), |
|
| 2804 | + (int) ($s6 >> 2), |
|
| 2805 | + (int) ($s6 >> 10), |
|
| 2806 | + (int) (($s6 >> 18) | $s7 << 3), |
|
| 2807 | + (int) ($s7 >> 5), |
|
| 2808 | + (int) ($s7 >> 13), |
|
| 2809 | + (int) ($s8 >> 0), |
|
| 2810 | + (int) ($s8 >> 8), |
|
| 2811 | + (int) (($s8 >> 16) | $s9 << 5), |
|
| 2812 | + (int) ($s9 >> 3), |
|
| 2813 | + (int) ($s9 >> 11), |
|
| 2814 | + (int) (($s9 >> 19) | $s10 << 2), |
|
| 2815 | + (int) ($s10 >> 6), |
|
| 2816 | + (int) (($s10 >> 14) | $s11 << 7), |
|
| 2817 | + (int) ($s11 >> 1), |
|
| 2818 | + (int) ($s11 >> 9), |
|
| 2819 | + (int) $s11 >> 17 |
|
| 2820 | + ); |
|
| 2821 | + return self::intArrayToString($arr); |
|
| 2822 | + } |
|
| 2823 | + |
|
| 2824 | + /** |
|
| 2825 | + * multiply by the order of the main subgroup l = 2^252+27742317777372353535851937790883648493 |
|
| 2826 | + * |
|
| 2827 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A |
|
| 2828 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 2829 | + */ |
|
| 2830 | + public static function ge_mul_l(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A) |
|
| 2831 | + { |
|
| 2832 | + $aslide = array( |
|
| 2833 | + 13, 0, 0, 0, 0, -1, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, |
|
| 2834 | + 0, 0, 0, -3, 0, 0, 0, 0, -13, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0, |
|
| 2835 | + 0, 0, 0, -13, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, |
|
| 2836 | + 0, 0, 11, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -1, |
|
| 2837 | + 0, 0, 0, 0, 3, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, |
|
| 2838 | + 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0, |
|
| 2839 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2840 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2841 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2842 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2843 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, |
|
| 2844 | + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 |
|
| 2845 | + ); |
|
| 2846 | + |
|
| 2847 | + /** @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $Ai size 8 */ |
|
| 2848 | + $Ai = array(); |
|
| 2849 | + |
|
| 2850 | + # ge_p3_to_cached(&Ai[0], A); |
|
| 2851 | + $Ai[0] = self::ge_p3_to_cached($A); |
|
| 2852 | + # ge_p3_dbl(&t, A); |
|
| 2853 | + $t = self::ge_p3_dbl($A); |
|
| 2854 | + # ge_p1p1_to_p3(&A2, &t); |
|
| 2855 | + $A2 = self::ge_p1p1_to_p3($t); |
|
| 2856 | + |
|
| 2857 | + for ($i = 1; $i < 8; ++$i) { |
|
| 2858 | + # ge_add(&t, &A2, &Ai[0]); |
|
| 2859 | + $t = self::ge_add($A2, $Ai[$i - 1]); |
|
| 2860 | + # ge_p1p1_to_p3(&u, &t); |
|
| 2861 | + $u = self::ge_p1p1_to_p3($t); |
|
| 2862 | + # ge_p3_to_cached(&Ai[i], &u); |
|
| 2863 | + $Ai[$i] = self::ge_p3_to_cached($u); |
|
| 2864 | + } |
|
| 2865 | + |
|
| 2866 | + $r = self::ge_p3_0(); |
|
| 2867 | + for ($i = 252; $i >= 0; --$i) { |
|
| 2868 | + $t = self::ge_p3_dbl($r); |
|
| 2869 | + if ($aslide[$i] > 0) { |
|
| 2870 | + # ge_p1p1_to_p3(&u, &t); |
|
| 2871 | + $u = self::ge_p1p1_to_p3($t); |
|
| 2872 | + # ge_add(&t, &u, &Ai[aslide[i] / 2]); |
|
| 2873 | + $t = self::ge_add($u, $Ai[(int)($aslide[$i] / 2)]); |
|
| 2874 | + } elseif ($aslide[$i] < 0) { |
|
| 2875 | + # ge_p1p1_to_p3(&u, &t); |
|
| 2876 | + $u = self::ge_p1p1_to_p3($t); |
|
| 2877 | + # ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]); |
|
| 2878 | + $t = self::ge_sub($u, $Ai[(int)(-$aslide[$i] / 2)]); |
|
| 2879 | + } |
|
| 2880 | + } |
|
| 2881 | + |
|
| 2882 | + # ge_p1p1_to_p3(r, &t); |
|
| 2883 | + return self::ge_p1p1_to_p3($t); |
|
| 2884 | + } |
|
| 2885 | + |
|
| 2886 | + /** |
|
| 2887 | + * @param string $a |
|
| 2888 | + * @param string $b |
|
| 2889 | + * @return string |
|
| 2890 | + */ |
|
| 2891 | + public static function sc25519_mul($a, $b) |
|
| 2892 | + { |
|
| 2893 | + // int64_t a0 = 2097151 & load_3(a); |
|
| 2894 | + // int64_t a1 = 2097151 & (load_4(a + 2) >> 5); |
|
| 2895 | + // int64_t a2 = 2097151 & (load_3(a + 5) >> 2); |
|
| 2896 | + // int64_t a3 = 2097151 & (load_4(a + 7) >> 7); |
|
| 2897 | + // int64_t a4 = 2097151 & (load_4(a + 10) >> 4); |
|
| 2898 | + // int64_t a5 = 2097151 & (load_3(a + 13) >> 1); |
|
| 2899 | + // int64_t a6 = 2097151 & (load_4(a + 15) >> 6); |
|
| 2900 | + // int64_t a7 = 2097151 & (load_3(a + 18) >> 3); |
|
| 2901 | + // int64_t a8 = 2097151 & load_3(a + 21); |
|
| 2902 | + // int64_t a9 = 2097151 & (load_4(a + 23) >> 5); |
|
| 2903 | + // int64_t a10 = 2097151 & (load_3(a + 26) >> 2); |
|
| 2904 | + // int64_t a11 = (load_4(a + 28) >> 7); |
|
| 2905 | + $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); |
|
| 2906 | + $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); |
|
| 2907 | + $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); |
|
| 2908 | + $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); |
|
| 2909 | + $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); |
|
| 2910 | + $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); |
|
| 2911 | + $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); |
|
| 2912 | + $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); |
|
| 2913 | + $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); |
|
| 2914 | + $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); |
|
| 2915 | + $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); |
|
| 2916 | + $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); |
|
| 2917 | + |
|
| 2918 | + // int64_t b0 = 2097151 & load_3(b); |
|
| 2919 | + // int64_t b1 = 2097151 & (load_4(b + 2) >> 5); |
|
| 2920 | + // int64_t b2 = 2097151 & (load_3(b + 5) >> 2); |
|
| 2921 | + // int64_t b3 = 2097151 & (load_4(b + 7) >> 7); |
|
| 2922 | + // int64_t b4 = 2097151 & (load_4(b + 10) >> 4); |
|
| 2923 | + // int64_t b5 = 2097151 & (load_3(b + 13) >> 1); |
|
| 2924 | + // int64_t b6 = 2097151 & (load_4(b + 15) >> 6); |
|
| 2925 | + // int64_t b7 = 2097151 & (load_3(b + 18) >> 3); |
|
| 2926 | + // int64_t b8 = 2097151 & load_3(b + 21); |
|
| 2927 | + // int64_t b9 = 2097151 & (load_4(b + 23) >> 5); |
|
| 2928 | + // int64_t b10 = 2097151 & (load_3(b + 26) >> 2); |
|
| 2929 | + // int64_t b11 = (load_4(b + 28) >> 7); |
|
| 2930 | + $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); |
|
| 2931 | + $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); |
|
| 2932 | + $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); |
|
| 2933 | + $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); |
|
| 2934 | + $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); |
|
| 2935 | + $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); |
|
| 2936 | + $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); |
|
| 2937 | + $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); |
|
| 2938 | + $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); |
|
| 2939 | + $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); |
|
| 2940 | + $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); |
|
| 2941 | + $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); |
|
| 2942 | + |
|
| 2943 | + // s0 = a0 * b0; |
|
| 2944 | + // s1 = a0 * b1 + a1 * b0; |
|
| 2945 | + // s2 = a0 * b2 + a1 * b1 + a2 * b0; |
|
| 2946 | + // s3 = a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; |
|
| 2947 | + // s4 = a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0; |
|
| 2948 | + // s5 = a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0; |
|
| 2949 | + // s6 = a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0; |
|
| 2950 | + // s7 = a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + |
|
| 2951 | + // a6 * b1 + a7 * b0; |
|
| 2952 | + // s8 = a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + |
|
| 2953 | + // a6 * b2 + a7 * b1 + a8 * b0; |
|
| 2954 | + // s9 = a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + |
|
| 2955 | + // a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0; |
|
| 2956 | + // s10 = a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + |
|
| 2957 | + // a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0; |
|
| 2958 | + // s11 = a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + |
|
| 2959 | + // a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0; |
|
| 2960 | + // s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + |
|
| 2961 | + // a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1; |
|
| 2962 | + // s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + |
|
| 2963 | + // a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2; |
|
| 2964 | + // s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + |
|
| 2965 | + // a9 * b5 + a10 * b4 + a11 * b3; |
|
| 2966 | + // s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + |
|
| 2967 | + // a10 * b5 + a11 * b4; |
|
| 2968 | + // s16 = |
|
| 2969 | + // a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5; |
|
| 2970 | + // s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6; |
|
| 2971 | + // s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7; |
|
| 2972 | + // s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8; |
|
| 2973 | + // s20 = a9 * b11 + a10 * b10 + a11 * b9; |
|
| 2974 | + // s21 = a10 * b11 + a11 * b10; |
|
| 2975 | + // s22 = a11 * b11; |
|
| 2976 | + // s23 = 0; |
|
| 2977 | + $s0 = self::mul($a0, $b0, 22); |
|
| 2978 | + $s1 = self::mul($a0, $b1, 22) + self::mul($a1, $b0, 22); |
|
| 2979 | + $s2 = self::mul($a0, $b2, 22) + self::mul($a1, $b1, 22) + self::mul($a2, $b0, 22); |
|
| 2980 | + $s3 = self::mul($a0, $b3, 22) + self::mul($a1, $b2, 22) + self::mul($a2, $b1, 22) + self::mul($a3, $b0, 22); |
|
| 2981 | + $s4 = self::mul($a0, $b4, 22) + self::mul($a1, $b3, 22) + self::mul($a2, $b2, 22) + self::mul($a3, $b1, 22) + |
|
| 2982 | + self::mul($a4, $b0, 22); |
|
| 2983 | + $s5 = self::mul($a0, $b5, 22) + self::mul($a1, $b4, 22) + self::mul($a2, $b3, 22) + self::mul($a3, $b2, 22) + |
|
| 2984 | + self::mul($a4, $b1, 22) + self::mul($a5, $b0, 22); |
|
| 2985 | + $s6 = self::mul($a0, $b6, 22) + self::mul($a1, $b5, 22) + self::mul($a2, $b4, 22) + self::mul($a3, $b3, 22) + |
|
| 2986 | + self::mul($a4, $b2, 22) + self::mul($a5, $b1, 22) + self::mul($a6, $b0, 22); |
|
| 2987 | + $s7 = self::mul($a0, $b7, 22) + self::mul($a1, $b6, 22) + self::mul($a2, $b5, 22) + self::mul($a3, $b4, 22) + |
|
| 2988 | + self::mul($a4, $b3, 22) + self::mul($a5, $b2, 22) + self::mul($a6, $b1, 22) + self::mul($a7, $b0, 22); |
|
| 2989 | + $s8 = self::mul($a0, $b8, 22) + self::mul($a1, $b7, 22) + self::mul($a2, $b6, 22) + self::mul($a3, $b5, 22) + |
|
| 2990 | + self::mul($a4, $b4, 22) + self::mul($a5, $b3, 22) + self::mul($a6, $b2, 22) + self::mul($a7, $b1, 22) + |
|
| 2991 | + self::mul($a8, $b0, 22); |
|
| 2992 | + $s9 = self::mul($a0, $b9, 22) + self::mul($a1, $b8, 22) + self::mul($a2, $b7, 22) + self::mul($a3, $b6, 22) + |
|
| 2993 | + self::mul($a4, $b5, 22) + self::mul($a5, $b4, 22) + self::mul($a6, $b3, 22) + self::mul($a7, $b2, 22) + |
|
| 2994 | + self::mul($a8, $b1, 22) + self::mul($a9, $b0, 22); |
|
| 2995 | + $s10 = self::mul($a0, $b10, 22) + self::mul($a1, $b9, 22) + self::mul($a2, $b8, 22) + self::mul($a3, $b7, 22) + |
|
| 2996 | + self::mul($a4, $b6, 22) + self::mul($a5, $b5, 22) + self::mul($a6, $b4, 22) + self::mul($a7, $b3, 22) + |
|
| 2997 | + self::mul($a8, $b2, 22) + self::mul($a9, $b1, 22) + self::mul($a10, $b0, 22); |
|
| 2998 | + $s11 = self::mul($a0, $b11, 22) + self::mul($a1, $b10, 22) + self::mul($a2, $b9, 22) + self::mul($a3, $b8, 22) + |
|
| 2999 | + self::mul($a4, $b7, 22) + self::mul($a5, $b6, 22) + self::mul($a6, $b5, 22) + self::mul($a7, $b4, 22) + |
|
| 3000 | + self::mul($a8, $b3, 22) + self::mul($a9, $b2, 22) + self::mul($a10, $b1, 22) + self::mul($a11, $b0, 22); |
|
| 3001 | + $s12 = self::mul($a1, $b11, 22) + self::mul($a2, $b10, 22) + self::mul($a3, $b9, 22) + self::mul($a4, $b8, 22) + |
|
| 3002 | + self::mul($a5, $b7, 22) + self::mul($a6, $b6, 22) + self::mul($a7, $b5, 22) + self::mul($a8, $b4, 22) + |
|
| 3003 | + self::mul($a9, $b3, 22) + self::mul($a10, $b2, 22) + self::mul($a11, $b1, 22); |
|
| 3004 | + $s13 = self::mul($a2, $b11, 22) + self::mul($a3, $b10, 22) + self::mul($a4, $b9, 22) + self::mul($a5, $b8, 22) + |
|
| 3005 | + self::mul($a6, $b7, 22) + self::mul($a7, $b6, 22) + self::mul($a8, $b5, 22) + self::mul($a9, $b4, 22) + |
|
| 3006 | + self::mul($a10, $b3, 22) + self::mul($a11, $b2, 22); |
|
| 3007 | + $s14 = self::mul($a3, $b11, 22) + self::mul($a4, $b10, 22) + self::mul($a5, $b9, 22) + self::mul($a6, $b8, 22) + |
|
| 3008 | + self::mul($a7, $b7, 22) + self::mul($a8, $b6, 22) + self::mul($a9, $b5, 22) + self::mul($a10, $b4, 22) + |
|
| 3009 | + self::mul($a11, $b3, 22); |
|
| 3010 | + $s15 = self::mul($a4, $b11, 22) + self::mul($a5, $b10, 22) + self::mul($a6, $b9, 22) + self::mul($a7, $b8, 22) + |
|
| 3011 | + self::mul($a8, $b7, 22) + self::mul($a9, $b6, 22) + self::mul($a10, $b5, 22) + self::mul($a11, $b4, 22); |
|
| 3012 | + $s16 = |
|
| 3013 | + self::mul($a5, $b11, 22) + self::mul($a6, $b10, 22) + self::mul($a7, $b9, 22) + self::mul($a8, $b8, 22) + |
|
| 3014 | + self::mul($a9, $b7, 22) + self::mul($a10, $b6, 22) + self::mul($a11, $b5, 22); |
|
| 3015 | + $s17 = self::mul($a6, $b11, 22) + self::mul($a7, $b10, 22) + self::mul($a8, $b9, 22) + self::mul($a9, $b8, 22) + |
|
| 3016 | + self::mul($a10, $b7, 22) + self::mul($a11, $b6, 22); |
|
| 3017 | + $s18 = self::mul($a7, $b11, 22) + self::mul($a8, $b10, 22) + self::mul($a9, $b9, 22) + self::mul($a10, $b8, 22) |
|
| 3018 | + + self::mul($a11, $b7, 22); |
|
| 3019 | + $s19 = self::mul($a8, $b11, 22) + self::mul($a9, $b10, 22) + self::mul($a10, $b9, 22) + |
|
| 3020 | + self::mul($a11, $b8, 22); |
|
| 3021 | + $s20 = self::mul($a9, $b11, 22) + self::mul($a10, $b10, 22) + self::mul($a11, $b9, 22); |
|
| 3022 | + $s21 = self::mul($a10, $b11, 22) + self::mul($a11, $b10, 22); |
|
| 3023 | + $s22 = self::mul($a11, $b11, 22); |
|
| 3024 | + $s23 = 0; |
|
| 3025 | + |
|
| 3026 | + // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; |
|
| 3027 | + // s1 += carry0; |
|
| 3028 | + // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3029 | + $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 3030 | + $s1 += $carry0; |
|
| 3031 | + $s0 -= $carry0 << 21; |
|
| 3032 | + // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; |
|
| 3033 | + // s3 += carry2; |
|
| 3034 | + // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3035 | + $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 3036 | + $s3 += $carry2; |
|
| 3037 | + $s2 -= $carry2 << 21; |
|
| 3038 | + // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; |
|
| 3039 | + // s5 += carry4; |
|
| 3040 | + // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3041 | + $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 3042 | + $s5 += $carry4; |
|
| 3043 | + $s4 -= $carry4 << 21; |
|
| 3044 | + // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3045 | + // s7 += carry6; |
|
| 3046 | + // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3047 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3048 | + $s7 += $carry6; |
|
| 3049 | + $s6 -= $carry6 << 21; |
|
| 3050 | + // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3051 | + // s9 += carry8; |
|
| 3052 | + // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3053 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3054 | + $s9 += $carry8; |
|
| 3055 | + $s8 -= $carry8 << 21; |
|
| 3056 | + // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3057 | + // s11 += carry10; |
|
| 3058 | + // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3059 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3060 | + $s11 += $carry10; |
|
| 3061 | + $s10 -= $carry10 << 21; |
|
| 3062 | + // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; |
|
| 3063 | + // s13 += carry12; |
|
| 3064 | + // s12 -= carry12 * ((uint64_t) 1L << 21); |
|
| 3065 | + $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 3066 | + $s13 += $carry12; |
|
| 3067 | + $s12 -= $carry12 << 21; |
|
| 3068 | + // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; |
|
| 3069 | + // s15 += carry14; |
|
| 3070 | + // s14 -= carry14 * ((uint64_t) 1L << 21); |
|
| 3071 | + $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 3072 | + $s15 += $carry14; |
|
| 3073 | + $s14 -= $carry14 << 21; |
|
| 3074 | + // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; |
|
| 3075 | + // s17 += carry16; |
|
| 3076 | + // s16 -= carry16 * ((uint64_t) 1L << 21); |
|
| 3077 | + $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 3078 | + $s17 += $carry16; |
|
| 3079 | + $s16 -= $carry16 << 21; |
|
| 3080 | + // carry18 = (s18 + (int64_t) (1L << 20)) >> 21; |
|
| 3081 | + // s19 += carry18; |
|
| 3082 | + // s18 -= carry18 * ((uint64_t) 1L << 21); |
|
| 3083 | + $carry18 = ($s18 + (1 << 20)) >> 21; |
|
| 3084 | + $s19 += $carry18; |
|
| 3085 | + $s18 -= $carry18 << 21; |
|
| 3086 | + // carry20 = (s20 + (int64_t) (1L << 20)) >> 21; |
|
| 3087 | + // s21 += carry20; |
|
| 3088 | + // s20 -= carry20 * ((uint64_t) 1L << 21); |
|
| 3089 | + $carry20 = ($s20 + (1 << 20)) >> 21; |
|
| 3090 | + $s21 += $carry20; |
|
| 3091 | + $s20 -= $carry20 << 21; |
|
| 3092 | + // carry22 = (s22 + (int64_t) (1L << 20)) >> 21; |
|
| 3093 | + // s23 += carry22; |
|
| 3094 | + // s22 -= carry22 * ((uint64_t) 1L << 21); |
|
| 3095 | + $carry22 = ($s22 + (1 << 20)) >> 21; |
|
| 3096 | + $s23 += $carry22; |
|
| 3097 | + $s22 -= $carry22 << 21; |
|
| 3098 | + |
|
| 3099 | + // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; |
|
| 3100 | + // s2 += carry1; |
|
| 3101 | + // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3102 | + $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 3103 | + $s2 += $carry1; |
|
| 3104 | + $s1 -= $carry1 << 21; |
|
| 3105 | + // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; |
|
| 3106 | + // s4 += carry3; |
|
| 3107 | + // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3108 | + $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 3109 | + $s4 += $carry3; |
|
| 3110 | + $s3 -= $carry3 << 21; |
|
| 3111 | + // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; |
|
| 3112 | + // s6 += carry5; |
|
| 3113 | + // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3114 | + $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 3115 | + $s6 += $carry5; |
|
| 3116 | + $s5 -= $carry5 << 21; |
|
| 3117 | + // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3118 | + // s8 += carry7; |
|
| 3119 | + // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3120 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3121 | + $s8 += $carry7; |
|
| 3122 | + $s7 -= $carry7 << 21; |
|
| 3123 | + // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3124 | + // s10 += carry9; |
|
| 3125 | + // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3126 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3127 | + $s10 += $carry9; |
|
| 3128 | + $s9 -= $carry9 << 21; |
|
| 3129 | + // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3130 | + // s12 += carry11; |
|
| 3131 | + // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3132 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3133 | + $s12 += $carry11; |
|
| 3134 | + $s11 -= $carry11 << 21; |
|
| 3135 | + // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; |
|
| 3136 | + // s14 += carry13; |
|
| 3137 | + // s13 -= carry13 * ((uint64_t) 1L << 21); |
|
| 3138 | + $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 3139 | + $s14 += $carry13; |
|
| 3140 | + $s13 -= $carry13 << 21; |
|
| 3141 | + // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; |
|
| 3142 | + // s16 += carry15; |
|
| 3143 | + // s15 -= carry15 * ((uint64_t) 1L << 21); |
|
| 3144 | + $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 3145 | + $s16 += $carry15; |
|
| 3146 | + $s15 -= $carry15 << 21; |
|
| 3147 | + // carry17 = (s17 + (int64_t) (1L << 20)) >> 21; |
|
| 3148 | + // s18 += carry17; |
|
| 3149 | + // s17 -= carry17 * ((uint64_t) 1L << 21); |
|
| 3150 | + $carry17 = ($s17 + (1 << 20)) >> 21; |
|
| 3151 | + $s18 += $carry17; |
|
| 3152 | + $s17 -= $carry17 << 21; |
|
| 3153 | + // carry19 = (s19 + (int64_t) (1L << 20)) >> 21; |
|
| 3154 | + // s20 += carry19; |
|
| 3155 | + // s19 -= carry19 * ((uint64_t) 1L << 21); |
|
| 3156 | + $carry19 = ($s19 + (1 << 20)) >> 21; |
|
| 3157 | + $s20 += $carry19; |
|
| 3158 | + $s19 -= $carry19 << 21; |
|
| 3159 | + // carry21 = (s21 + (int64_t) (1L << 20)) >> 21; |
|
| 3160 | + // s22 += carry21; |
|
| 3161 | + // s21 -= carry21 * ((uint64_t) 1L << 21); |
|
| 3162 | + $carry21 = ($s21 + (1 << 20)) >> 21; |
|
| 3163 | + $s22 += $carry21; |
|
| 3164 | + $s21 -= $carry21 << 21; |
|
| 3165 | + |
|
| 3166 | + // s11 += s23 * 666643; |
|
| 3167 | + // s12 += s23 * 470296; |
|
| 3168 | + // s13 += s23 * 654183; |
|
| 3169 | + // s14 -= s23 * 997805; |
|
| 3170 | + // s15 += s23 * 136657; |
|
| 3171 | + // s16 -= s23 * 683901; |
|
| 3172 | + $s11 += self::mul($s23, 666643, 20); |
|
| 3173 | + $s12 += self::mul($s23, 470296, 19); |
|
| 3174 | + $s13 += self::mul($s23, 654183, 20); |
|
| 3175 | + $s14 -= self::mul($s23, 997805, 20); |
|
| 3176 | + $s15 += self::mul($s23, 136657, 18); |
|
| 3177 | + $s16 -= self::mul($s23, 683901, 20); |
|
| 3178 | + |
|
| 3179 | + // s10 += s22 * 666643; |
|
| 3180 | + // s11 += s22 * 470296; |
|
| 3181 | + // s12 += s22 * 654183; |
|
| 3182 | + // s13 -= s22 * 997805; |
|
| 3183 | + // s14 += s22 * 136657; |
|
| 3184 | + // s15 -= s22 * 683901; |
|
| 3185 | + $s10 += self::mul($s22, 666643, 20); |
|
| 3186 | + $s11 += self::mul($s22, 470296, 19); |
|
| 3187 | + $s12 += self::mul($s22, 654183, 20); |
|
| 3188 | + $s13 -= self::mul($s22, 997805, 20); |
|
| 3189 | + $s14 += self::mul($s22, 136657, 18); |
|
| 3190 | + $s15 -= self::mul($s22, 683901, 20); |
|
| 3191 | + |
|
| 3192 | + // s9 += s21 * 666643; |
|
| 3193 | + // s10 += s21 * 470296; |
|
| 3194 | + // s11 += s21 * 654183; |
|
| 3195 | + // s12 -= s21 * 997805; |
|
| 3196 | + // s13 += s21 * 136657; |
|
| 3197 | + // s14 -= s21 * 683901; |
|
| 3198 | + $s9 += self::mul($s21, 666643, 20); |
|
| 3199 | + $s10 += self::mul($s21, 470296, 19); |
|
| 3200 | + $s11 += self::mul($s21, 654183, 20); |
|
| 3201 | + $s12 -= self::mul($s21, 997805, 20); |
|
| 3202 | + $s13 += self::mul($s21, 136657, 18); |
|
| 3203 | + $s14 -= self::mul($s21, 683901, 20); |
|
| 3204 | + |
|
| 3205 | + // s8 += s20 * 666643; |
|
| 3206 | + // s9 += s20 * 470296; |
|
| 3207 | + // s10 += s20 * 654183; |
|
| 3208 | + // s11 -= s20 * 997805; |
|
| 3209 | + // s12 += s20 * 136657; |
|
| 3210 | + // s13 -= s20 * 683901; |
|
| 3211 | + $s8 += self::mul($s20, 666643, 20); |
|
| 3212 | + $s9 += self::mul($s20, 470296, 19); |
|
| 3213 | + $s10 += self::mul($s20, 654183, 20); |
|
| 3214 | + $s11 -= self::mul($s20, 997805, 20); |
|
| 3215 | + $s12 += self::mul($s20, 136657, 18); |
|
| 3216 | + $s13 -= self::mul($s20, 683901, 20); |
|
| 3217 | + |
|
| 3218 | + // s7 += s19 * 666643; |
|
| 3219 | + // s8 += s19 * 470296; |
|
| 3220 | + // s9 += s19 * 654183; |
|
| 3221 | + // s10 -= s19 * 997805; |
|
| 3222 | + // s11 += s19 * 136657; |
|
| 3223 | + // s12 -= s19 * 683901; |
|
| 3224 | + $s7 += self::mul($s19, 666643, 20); |
|
| 3225 | + $s8 += self::mul($s19, 470296, 19); |
|
| 3226 | + $s9 += self::mul($s19, 654183, 20); |
|
| 3227 | + $s10 -= self::mul($s19, 997805, 20); |
|
| 3228 | + $s11 += self::mul($s19, 136657, 18); |
|
| 3229 | + $s12 -= self::mul($s19, 683901, 20); |
|
| 3230 | + |
|
| 3231 | + // s6 += s18 * 666643; |
|
| 3232 | + // s7 += s18 * 470296; |
|
| 3233 | + // s8 += s18 * 654183; |
|
| 3234 | + // s9 -= s18 * 997805; |
|
| 3235 | + // s10 += s18 * 136657; |
|
| 3236 | + // s11 -= s18 * 683901; |
|
| 3237 | + $s6 += self::mul($s18, 666643, 20); |
|
| 3238 | + $s7 += self::mul($s18, 470296, 19); |
|
| 3239 | + $s8 += self::mul($s18, 654183, 20); |
|
| 3240 | + $s9 -= self::mul($s18, 997805, 20); |
|
| 3241 | + $s10 += self::mul($s18, 136657, 18); |
|
| 3242 | + $s11 -= self::mul($s18, 683901, 20); |
|
| 3243 | + |
|
| 3244 | + // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3245 | + // s7 += carry6; |
|
| 3246 | + // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3247 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3248 | + $s7 += $carry6; |
|
| 3249 | + $s6 -= $carry6 << 21; |
|
| 3250 | + // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3251 | + // s9 += carry8; |
|
| 3252 | + // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3253 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3254 | + $s9 += $carry8; |
|
| 3255 | + $s8 -= $carry8 << 21; |
|
| 3256 | + // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3257 | + // s11 += carry10; |
|
| 3258 | + // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3259 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3260 | + $s11 += $carry10; |
|
| 3261 | + $s10 -= $carry10 << 21; |
|
| 3262 | + // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; |
|
| 3263 | + // s13 += carry12; |
|
| 3264 | + // s12 -= carry12 * ((uint64_t) 1L << 21); |
|
| 3265 | + $carry12 = ($s12 + (1 << 20)) >> 21; |
|
| 3266 | + $s13 += $carry12; |
|
| 3267 | + $s12 -= $carry12 << 21; |
|
| 3268 | + // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; |
|
| 3269 | + // s15 += carry14; |
|
| 3270 | + // s14 -= carry14 * ((uint64_t) 1L << 21); |
|
| 3271 | + $carry14 = ($s14 + (1 << 20)) >> 21; |
|
| 3272 | + $s15 += $carry14; |
|
| 3273 | + $s14 -= $carry14 << 21; |
|
| 3274 | + // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; |
|
| 3275 | + // s17 += carry16; |
|
| 3276 | + // s16 -= carry16 * ((uint64_t) 1L << 21); |
|
| 3277 | + $carry16 = ($s16 + (1 << 20)) >> 21; |
|
| 3278 | + $s17 += $carry16; |
|
| 3279 | + $s16 -= $carry16 << 21; |
|
| 3280 | + |
|
| 3281 | + // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3282 | + // s8 += carry7; |
|
| 3283 | + // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3284 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3285 | + $s8 += $carry7; |
|
| 3286 | + $s7 -= $carry7 << 21; |
|
| 3287 | + // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3288 | + // s10 += carry9; |
|
| 3289 | + // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3290 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3291 | + $s10 += $carry9; |
|
| 3292 | + $s9 -= $carry9 << 21; |
|
| 3293 | + // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3294 | + // s12 += carry11; |
|
| 3295 | + // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3296 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3297 | + $s12 += $carry11; |
|
| 3298 | + $s11 -= $carry11 << 21; |
|
| 3299 | + // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; |
|
| 3300 | + // s14 += carry13; |
|
| 3301 | + // s13 -= carry13 * ((uint64_t) 1L << 21); |
|
| 3302 | + $carry13 = ($s13 + (1 << 20)) >> 21; |
|
| 3303 | + $s14 += $carry13; |
|
| 3304 | + $s13 -= $carry13 << 21; |
|
| 3305 | + // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; |
|
| 3306 | + // s16 += carry15; |
|
| 3307 | + // s15 -= carry15 * ((uint64_t) 1L << 21); |
|
| 3308 | + $carry15 = ($s15 + (1 << 20)) >> 21; |
|
| 3309 | + $s16 += $carry15; |
|
| 3310 | + $s15 -= $carry15 << 21; |
|
| 3311 | + |
|
| 3312 | + // s5 += s17 * 666643; |
|
| 3313 | + // s6 += s17 * 470296; |
|
| 3314 | + // s7 += s17 * 654183; |
|
| 3315 | + // s8 -= s17 * 997805; |
|
| 3316 | + // s9 += s17 * 136657; |
|
| 3317 | + // s10 -= s17 * 683901; |
|
| 3318 | + $s5 += self::mul($s17, 666643, 20); |
|
| 3319 | + $s6 += self::mul($s17, 470296, 19); |
|
| 3320 | + $s7 += self::mul($s17, 654183, 20); |
|
| 3321 | + $s8 -= self::mul($s17, 997805, 20); |
|
| 3322 | + $s9 += self::mul($s17, 136657, 18); |
|
| 3323 | + $s10 -= self::mul($s17, 683901, 20); |
|
| 3324 | + |
|
| 3325 | + // s4 += s16 * 666643; |
|
| 3326 | + // s5 += s16 * 470296; |
|
| 3327 | + // s6 += s16 * 654183; |
|
| 3328 | + // s7 -= s16 * 997805; |
|
| 3329 | + // s8 += s16 * 136657; |
|
| 3330 | + // s9 -= s16 * 683901; |
|
| 3331 | + $s4 += self::mul($s16, 666643, 20); |
|
| 3332 | + $s5 += self::mul($s16, 470296, 19); |
|
| 3333 | + $s6 += self::mul($s16, 654183, 20); |
|
| 3334 | + $s7 -= self::mul($s16, 997805, 20); |
|
| 3335 | + $s8 += self::mul($s16, 136657, 18); |
|
| 3336 | + $s9 -= self::mul($s16, 683901, 20); |
|
| 3337 | + |
|
| 3338 | + // s3 += s15 * 666643; |
|
| 3339 | + // s4 += s15 * 470296; |
|
| 3340 | + // s5 += s15 * 654183; |
|
| 3341 | + // s6 -= s15 * 997805; |
|
| 3342 | + // s7 += s15 * 136657; |
|
| 3343 | + // s8 -= s15 * 683901; |
|
| 3344 | + $s3 += self::mul($s15, 666643, 20); |
|
| 3345 | + $s4 += self::mul($s15, 470296, 19); |
|
| 3346 | + $s5 += self::mul($s15, 654183, 20); |
|
| 3347 | + $s6 -= self::mul($s15, 997805, 20); |
|
| 3348 | + $s7 += self::mul($s15, 136657, 18); |
|
| 3349 | + $s8 -= self::mul($s15, 683901, 20); |
|
| 3350 | + |
|
| 3351 | + // s2 += s14 * 666643; |
|
| 3352 | + // s3 += s14 * 470296; |
|
| 3353 | + // s4 += s14 * 654183; |
|
| 3354 | + // s5 -= s14 * 997805; |
|
| 3355 | + // s6 += s14 * 136657; |
|
| 3356 | + // s7 -= s14 * 683901; |
|
| 3357 | + $s2 += self::mul($s14, 666643, 20); |
|
| 3358 | + $s3 += self::mul($s14, 470296, 19); |
|
| 3359 | + $s4 += self::mul($s14, 654183, 20); |
|
| 3360 | + $s5 -= self::mul($s14, 997805, 20); |
|
| 3361 | + $s6 += self::mul($s14, 136657, 18); |
|
| 3362 | + $s7 -= self::mul($s14, 683901, 20); |
|
| 3363 | + |
|
| 3364 | + // s1 += s13 * 666643; |
|
| 3365 | + // s2 += s13 * 470296; |
|
| 3366 | + // s3 += s13 * 654183; |
|
| 3367 | + // s4 -= s13 * 997805; |
|
| 3368 | + // s5 += s13 * 136657; |
|
| 3369 | + // s6 -= s13 * 683901; |
|
| 3370 | + $s1 += self::mul($s13, 666643, 20); |
|
| 3371 | + $s2 += self::mul($s13, 470296, 19); |
|
| 3372 | + $s3 += self::mul($s13, 654183, 20); |
|
| 3373 | + $s4 -= self::mul($s13, 997805, 20); |
|
| 3374 | + $s5 += self::mul($s13, 136657, 18); |
|
| 3375 | + $s6 -= self::mul($s13, 683901, 20); |
|
| 3376 | + |
|
| 3377 | + // s0 += s12 * 666643; |
|
| 3378 | + // s1 += s12 * 470296; |
|
| 3379 | + // s2 += s12 * 654183; |
|
| 3380 | + // s3 -= s12 * 997805; |
|
| 3381 | + // s4 += s12 * 136657; |
|
| 3382 | + // s5 -= s12 * 683901; |
|
| 3383 | + // s12 = 0; |
|
| 3384 | + $s0 += self::mul($s12, 666643, 20); |
|
| 3385 | + $s1 += self::mul($s12, 470296, 19); |
|
| 3386 | + $s2 += self::mul($s12, 654183, 20); |
|
| 3387 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 3388 | + $s4 += self::mul($s12, 136657, 18); |
|
| 3389 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 3390 | + $s12 = 0; |
|
| 3391 | + |
|
| 3392 | + // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; |
|
| 3393 | + // s1 += carry0; |
|
| 3394 | + // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3395 | + $carry0 = ($s0 + (1 << 20)) >> 21; |
|
| 3396 | + $s1 += $carry0; |
|
| 3397 | + $s0 -= $carry0 << 21; |
|
| 3398 | + // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; |
|
| 3399 | + // s3 += carry2; |
|
| 3400 | + // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3401 | + $carry2 = ($s2 + (1 << 20)) >> 21; |
|
| 3402 | + $s3 += $carry2; |
|
| 3403 | + $s2 -= $carry2 << 21; |
|
| 3404 | + // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; |
|
| 3405 | + // s5 += carry4; |
|
| 3406 | + // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3407 | + $carry4 = ($s4 + (1 << 20)) >> 21; |
|
| 3408 | + $s5 += $carry4; |
|
| 3409 | + $s4 -= $carry4 << 21; |
|
| 3410 | + // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; |
|
| 3411 | + // s7 += carry6; |
|
| 3412 | + // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3413 | + $carry6 = ($s6 + (1 << 20)) >> 21; |
|
| 3414 | + $s7 += $carry6; |
|
| 3415 | + $s6 -= $carry6 << 21; |
|
| 3416 | + // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; |
|
| 3417 | + // s9 += carry8; |
|
| 3418 | + // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3419 | + $carry8 = ($s8 + (1 << 20)) >> 21; |
|
| 3420 | + $s9 += $carry8; |
|
| 3421 | + $s8 -= $carry8 << 21; |
|
| 3422 | + // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; |
|
| 3423 | + // s11 += carry10; |
|
| 3424 | + // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3425 | + $carry10 = ($s10 + (1 << 20)) >> 21; |
|
| 3426 | + $s11 += $carry10; |
|
| 3427 | + $s10 -= $carry10 << 21; |
|
| 3428 | + |
|
| 3429 | + // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; |
|
| 3430 | + // s2 += carry1; |
|
| 3431 | + // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3432 | + $carry1 = ($s1 + (1 << 20)) >> 21; |
|
| 3433 | + $s2 += $carry1; |
|
| 3434 | + $s1 -= $carry1 << 21; |
|
| 3435 | + // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; |
|
| 3436 | + // s4 += carry3; |
|
| 3437 | + // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3438 | + $carry3 = ($s3 + (1 << 20)) >> 21; |
|
| 3439 | + $s4 += $carry3; |
|
| 3440 | + $s3 -= $carry3 << 21; |
|
| 3441 | + // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; |
|
| 3442 | + // s6 += carry5; |
|
| 3443 | + // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3444 | + $carry5 = ($s5 + (1 << 20)) >> 21; |
|
| 3445 | + $s6 += $carry5; |
|
| 3446 | + $s5 -= $carry5 << 21; |
|
| 3447 | + // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; |
|
| 3448 | + // s8 += carry7; |
|
| 3449 | + // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3450 | + $carry7 = ($s7 + (1 << 20)) >> 21; |
|
| 3451 | + $s8 += $carry7; |
|
| 3452 | + $s7 -= $carry7 << 21; |
|
| 3453 | + // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; |
|
| 3454 | + // s10 += carry9; |
|
| 3455 | + // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3456 | + $carry9 = ($s9 + (1 << 20)) >> 21; |
|
| 3457 | + $s10 += $carry9; |
|
| 3458 | + $s9 -= $carry9 << 21; |
|
| 3459 | + // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; |
|
| 3460 | + // s12 += carry11; |
|
| 3461 | + // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3462 | + $carry11 = ($s11 + (1 << 20)) >> 21; |
|
| 3463 | + $s12 += $carry11; |
|
| 3464 | + $s11 -= $carry11 << 21; |
|
| 3465 | + |
|
| 3466 | + // s0 += s12 * 666643; |
|
| 3467 | + // s1 += s12 * 470296; |
|
| 3468 | + // s2 += s12 * 654183; |
|
| 3469 | + // s3 -= s12 * 997805; |
|
| 3470 | + // s4 += s12 * 136657; |
|
| 3471 | + // s5 -= s12 * 683901; |
|
| 3472 | + // s12 = 0; |
|
| 3473 | + $s0 += self::mul($s12, 666643, 20); |
|
| 3474 | + $s1 += self::mul($s12, 470296, 19); |
|
| 3475 | + $s2 += self::mul($s12, 654183, 20); |
|
| 3476 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 3477 | + $s4 += self::mul($s12, 136657, 18); |
|
| 3478 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 3479 | + $s12 = 0; |
|
| 3480 | + |
|
| 3481 | + // carry0 = s0 >> 21; |
|
| 3482 | + // s1 += carry0; |
|
| 3483 | + // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3484 | + $carry0 = $s0 >> 21; |
|
| 3485 | + $s1 += $carry0; |
|
| 3486 | + $s0 -= $carry0 << 21; |
|
| 3487 | + // carry1 = s1 >> 21; |
|
| 3488 | + // s2 += carry1; |
|
| 3489 | + // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3490 | + $carry1 = $s1 >> 21; |
|
| 3491 | + $s2 += $carry1; |
|
| 3492 | + $s1 -= $carry1 << 21; |
|
| 3493 | + // carry2 = s2 >> 21; |
|
| 3494 | + // s3 += carry2; |
|
| 3495 | + // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3496 | + $carry2 = $s2 >> 21; |
|
| 3497 | + $s3 += $carry2; |
|
| 3498 | + $s2 -= $carry2 << 21; |
|
| 3499 | + // carry3 = s3 >> 21; |
|
| 3500 | + // s4 += carry3; |
|
| 3501 | + // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3502 | + $carry3 = $s3 >> 21; |
|
| 3503 | + $s4 += $carry3; |
|
| 3504 | + $s3 -= $carry3 << 21; |
|
| 3505 | + // carry4 = s4 >> 21; |
|
| 3506 | + // s5 += carry4; |
|
| 3507 | + // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3508 | + $carry4 = $s4 >> 21; |
|
| 3509 | + $s5 += $carry4; |
|
| 3510 | + $s4 -= $carry4 << 21; |
|
| 3511 | + // carry5 = s5 >> 21; |
|
| 3512 | + // s6 += carry5; |
|
| 3513 | + // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3514 | + $carry5 = $s5 >> 21; |
|
| 3515 | + $s6 += $carry5; |
|
| 3516 | + $s5 -= $carry5 << 21; |
|
| 3517 | + // carry6 = s6 >> 21; |
|
| 3518 | + // s7 += carry6; |
|
| 3519 | + // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3520 | + $carry6 = $s6 >> 21; |
|
| 3521 | + $s7 += $carry6; |
|
| 3522 | + $s6 -= $carry6 << 21; |
|
| 3523 | + // carry7 = s7 >> 21; |
|
| 3524 | + // s8 += carry7; |
|
| 3525 | + // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3526 | + $carry7 = $s7 >> 21; |
|
| 3527 | + $s8 += $carry7; |
|
| 3528 | + $s7 -= $carry7 << 21; |
|
| 3529 | + // carry8 = s8 >> 21; |
|
| 3530 | + // s9 += carry8; |
|
| 3531 | + // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3532 | + $carry8 = $s8 >> 21; |
|
| 3533 | + $s9 += $carry8; |
|
| 3534 | + $s8 -= $carry8 << 21; |
|
| 3535 | + // carry9 = s9 >> 21; |
|
| 3536 | + // s10 += carry9; |
|
| 3537 | + // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3538 | + $carry9 = $s9 >> 21; |
|
| 3539 | + $s10 += $carry9; |
|
| 3540 | + $s9 -= $carry9 << 21; |
|
| 3541 | + // carry10 = s10 >> 21; |
|
| 3542 | + // s11 += carry10; |
|
| 3543 | + // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3544 | + $carry10 = $s10 >> 21; |
|
| 3545 | + $s11 += $carry10; |
|
| 3546 | + $s10 -= $carry10 << 21; |
|
| 3547 | + // carry11 = s11 >> 21; |
|
| 3548 | + // s12 += carry11; |
|
| 3549 | + // s11 -= carry11 * ((uint64_t) 1L << 21); |
|
| 3550 | + $carry11 = $s11 >> 21; |
|
| 3551 | + $s12 += $carry11; |
|
| 3552 | + $s11 -= $carry11 << 21; |
|
| 3553 | + |
|
| 3554 | + // s0 += s12 * 666643; |
|
| 3555 | + // s1 += s12 * 470296; |
|
| 3556 | + // s2 += s12 * 654183; |
|
| 3557 | + // s3 -= s12 * 997805; |
|
| 3558 | + // s4 += s12 * 136657; |
|
| 3559 | + // s5 -= s12 * 683901; |
|
| 3560 | + $s0 += self::mul($s12, 666643, 20); |
|
| 3561 | + $s1 += self::mul($s12, 470296, 19); |
|
| 3562 | + $s2 += self::mul($s12, 654183, 20); |
|
| 3563 | + $s3 -= self::mul($s12, 997805, 20); |
|
| 3564 | + $s4 += self::mul($s12, 136657, 18); |
|
| 3565 | + $s5 -= self::mul($s12, 683901, 20); |
|
| 3566 | + |
|
| 3567 | + // carry0 = s0 >> 21; |
|
| 3568 | + // s1 += carry0; |
|
| 3569 | + // s0 -= carry0 * ((uint64_t) 1L << 21); |
|
| 3570 | + $carry0 = $s0 >> 21; |
|
| 3571 | + $s1 += $carry0; |
|
| 3572 | + $s0 -= $carry0 << 21; |
|
| 3573 | + // carry1 = s1 >> 21; |
|
| 3574 | + // s2 += carry1; |
|
| 3575 | + // s1 -= carry1 * ((uint64_t) 1L << 21); |
|
| 3576 | + $carry1 = $s1 >> 21; |
|
| 3577 | + $s2 += $carry1; |
|
| 3578 | + $s1 -= $carry1 << 21; |
|
| 3579 | + // carry2 = s2 >> 21; |
|
| 3580 | + // s3 += carry2; |
|
| 3581 | + // s2 -= carry2 * ((uint64_t) 1L << 21); |
|
| 3582 | + $carry2 = $s2 >> 21; |
|
| 3583 | + $s3 += $carry2; |
|
| 3584 | + $s2 -= $carry2 << 21; |
|
| 3585 | + // carry3 = s3 >> 21; |
|
| 3586 | + // s4 += carry3; |
|
| 3587 | + // s3 -= carry3 * ((uint64_t) 1L << 21); |
|
| 3588 | + $carry3 = $s3 >> 21; |
|
| 3589 | + $s4 += $carry3; |
|
| 3590 | + $s3 -= $carry3 << 21; |
|
| 3591 | + // carry4 = s4 >> 21; |
|
| 3592 | + // s5 += carry4; |
|
| 3593 | + // s4 -= carry4 * ((uint64_t) 1L << 21); |
|
| 3594 | + $carry4 = $s4 >> 21; |
|
| 3595 | + $s5 += $carry4; |
|
| 3596 | + $s4 -= $carry4 << 21; |
|
| 3597 | + // carry5 = s5 >> 21; |
|
| 3598 | + // s6 += carry5; |
|
| 3599 | + // s5 -= carry5 * ((uint64_t) 1L << 21); |
|
| 3600 | + $carry5 = $s5 >> 21; |
|
| 3601 | + $s6 += $carry5; |
|
| 3602 | + $s5 -= $carry5 << 21; |
|
| 3603 | + // carry6 = s6 >> 21; |
|
| 3604 | + // s7 += carry6; |
|
| 3605 | + // s6 -= carry6 * ((uint64_t) 1L << 21); |
|
| 3606 | + $carry6 = $s6 >> 21; |
|
| 3607 | + $s7 += $carry6; |
|
| 3608 | + $s6 -= $carry6 << 21; |
|
| 3609 | + // carry7 = s7 >> 21; |
|
| 3610 | + // s8 += carry7; |
|
| 3611 | + // s7 -= carry7 * ((uint64_t) 1L << 21); |
|
| 3612 | + $carry7 = $s7 >> 21; |
|
| 3613 | + $s8 += $carry7; |
|
| 3614 | + $s7 -= $carry7 << 21; |
|
| 3615 | + // carry8 = s8 >> 21; |
|
| 3616 | + // s9 += carry8; |
|
| 3617 | + // s8 -= carry8 * ((uint64_t) 1L << 21); |
|
| 3618 | + $carry8 = $s8 >> 21; |
|
| 3619 | + $s9 += $carry8; |
|
| 3620 | + $s8 -= $carry8 << 21; |
|
| 3621 | + // carry9 = s9 >> 21; |
|
| 3622 | + // s10 += carry9; |
|
| 3623 | + // s9 -= carry9 * ((uint64_t) 1L << 21); |
|
| 3624 | + $carry9 = $s9 >> 21; |
|
| 3625 | + $s10 += $carry9; |
|
| 3626 | + $s9 -= $carry9 << 21; |
|
| 3627 | + // carry10 = s10 >> 21; |
|
| 3628 | + // s11 += carry10; |
|
| 3629 | + // s10 -= carry10 * ((uint64_t) 1L << 21); |
|
| 3630 | + $carry10 = $s10 >> 21; |
|
| 3631 | + $s11 += $carry10; |
|
| 3632 | + $s10 -= $carry10 << 21; |
|
| 3633 | + |
|
| 3634 | + $s = array_fill(0, 32, 0); |
|
| 3635 | + // s[0] = s0 >> 0; |
|
| 3636 | + $s[0] = $s0 >> 0; |
|
| 3637 | + // s[1] = s0 >> 8; |
|
| 3638 | + $s[1] = $s0 >> 8; |
|
| 3639 | + // s[2] = (s0 >> 16) | (s1 * ((uint64_t) 1 << 5)); |
|
| 3640 | + $s[2] = ($s0 >> 16) | ($s1 << 5); |
|
| 3641 | + // s[3] = s1 >> 3; |
|
| 3642 | + $s[3] = $s1 >> 3; |
|
| 3643 | + // s[4] = s1 >> 11; |
|
| 3644 | + $s[4] = $s1 >> 11; |
|
| 3645 | + // s[5] = (s1 >> 19) | (s2 * ((uint64_t) 1 << 2)); |
|
| 3646 | + $s[5] = ($s1 >> 19) | ($s2 << 2); |
|
| 3647 | + // s[6] = s2 >> 6; |
|
| 3648 | + $s[6] = $s2 >> 6; |
|
| 3649 | + // s[7] = (s2 >> 14) | (s3 * ((uint64_t) 1 << 7)); |
|
| 3650 | + $s[7] = ($s2 >> 14) | ($s3 << 7); |
|
| 3651 | + // s[8] = s3 >> 1; |
|
| 3652 | + $s[8] = $s3 >> 1; |
|
| 3653 | + // s[9] = s3 >> 9; |
|
| 3654 | + $s[9] = $s3 >> 9; |
|
| 3655 | + // s[10] = (s3 >> 17) | (s4 * ((uint64_t) 1 << 4)); |
|
| 3656 | + $s[10] = ($s3 >> 17) | ($s4 << 4); |
|
| 3657 | + // s[11] = s4 >> 4; |
|
| 3658 | + $s[11] = $s4 >> 4; |
|
| 3659 | + // s[12] = s4 >> 12; |
|
| 3660 | + $s[12] = $s4 >> 12; |
|
| 3661 | + // s[13] = (s4 >> 20) | (s5 * ((uint64_t) 1 << 1)); |
|
| 3662 | + $s[13] = ($s4 >> 20) | ($s5 << 1); |
|
| 3663 | + // s[14] = s5 >> 7; |
|
| 3664 | + $s[14] = $s5 >> 7; |
|
| 3665 | + // s[15] = (s5 >> 15) | (s6 * ((uint64_t) 1 << 6)); |
|
| 3666 | + $s[15] = ($s5 >> 15) | ($s6 << 6); |
|
| 3667 | + // s[16] = s6 >> 2; |
|
| 3668 | + $s[16] = $s6 >> 2; |
|
| 3669 | + // s[17] = s6 >> 10; |
|
| 3670 | + $s[17] = $s6 >> 10; |
|
| 3671 | + // s[18] = (s6 >> 18) | (s7 * ((uint64_t) 1 << 3)); |
|
| 3672 | + $s[18] = ($s6 >> 18) | ($s7 << 3); |
|
| 3673 | + // s[19] = s7 >> 5; |
|
| 3674 | + $s[19] = $s7 >> 5; |
|
| 3675 | + // s[20] = s7 >> 13; |
|
| 3676 | + $s[20] = $s7 >> 13; |
|
| 3677 | + // s[21] = s8 >> 0; |
|
| 3678 | + $s[21] = $s8 >> 0; |
|
| 3679 | + // s[22] = s8 >> 8; |
|
| 3680 | + $s[22] = $s8 >> 8; |
|
| 3681 | + // s[23] = (s8 >> 16) | (s9 * ((uint64_t) 1 << 5)); |
|
| 3682 | + $s[23] = ($s8 >> 16) | ($s9 << 5); |
|
| 3683 | + // s[24] = s9 >> 3; |
|
| 3684 | + $s[24] = $s9 >> 3; |
|
| 3685 | + // s[25] = s9 >> 11; |
|
| 3686 | + $s[25] = $s9 >> 11; |
|
| 3687 | + // s[26] = (s9 >> 19) | (s10 * ((uint64_t) 1 << 2)); |
|
| 3688 | + $s[26] = ($s9 >> 19) | ($s10 << 2); |
|
| 3689 | + // s[27] = s10 >> 6; |
|
| 3690 | + $s[27] = $s10 >> 6; |
|
| 3691 | + // s[28] = (s10 >> 14) | (s11 * ((uint64_t) 1 << 7)); |
|
| 3692 | + $s[28] = ($s10 >> 14) | ($s11 << 7); |
|
| 3693 | + // s[29] = s11 >> 1; |
|
| 3694 | + $s[29] = $s11 >> 1; |
|
| 3695 | + // s[30] = s11 >> 9; |
|
| 3696 | + $s[30] = $s11 >> 9; |
|
| 3697 | + // s[31] = s11 >> 17; |
|
| 3698 | + $s[31] = $s11 >> 17; |
|
| 3699 | + return self::intArrayToString($s); |
|
| 3700 | + } |
|
| 3701 | + |
|
| 3702 | + /** |
|
| 3703 | + * @param string $s |
|
| 3704 | + * @return string |
|
| 3705 | + */ |
|
| 3706 | + public static function sc25519_sq($s) |
|
| 3707 | + { |
|
| 3708 | + return self::sc25519_mul($s, $s); |
|
| 3709 | + } |
|
| 3710 | + |
|
| 3711 | + /** |
|
| 3712 | + * @param string $s |
|
| 3713 | + * @param int $n |
|
| 3714 | + * @param string $a |
|
| 3715 | + * @return string |
|
| 3716 | + */ |
|
| 3717 | + public static function sc25519_sqmul($s, $n, $a) |
|
| 3718 | + { |
|
| 3719 | + for ($i = 0; $i < $n; ++$i) { |
|
| 3720 | + $s = self::sc25519_sq($s); |
|
| 3721 | + } |
|
| 3722 | + return self::sc25519_mul($s, $a); |
|
| 3723 | + } |
|
| 3724 | + |
|
| 3725 | + /** |
|
| 3726 | + * @param string $s |
|
| 3727 | + * @return string |
|
| 3728 | + */ |
|
| 3729 | + public static function sc25519_invert($s) |
|
| 3730 | + { |
|
| 3731 | + $_10 = self::sc25519_sq($s); |
|
| 3732 | + $_11 = self::sc25519_mul($s, $_10); |
|
| 3733 | + $_100 = self::sc25519_mul($s, $_11); |
|
| 3734 | + $_1000 = self::sc25519_sq($_100); |
|
| 3735 | + $_1010 = self::sc25519_mul($_10, $_1000); |
|
| 3736 | + $_1011 = self::sc25519_mul($s, $_1010); |
|
| 3737 | + $_10000 = self::sc25519_sq($_1000); |
|
| 3738 | + $_10110 = self::sc25519_sq($_1011); |
|
| 3739 | + $_100000 = self::sc25519_mul($_1010, $_10110); |
|
| 3740 | + $_100110 = self::sc25519_mul($_10000, $_10110); |
|
| 3741 | + $_1000000 = self::sc25519_sq($_100000); |
|
| 3742 | + $_1010000 = self::sc25519_mul($_10000, $_1000000); |
|
| 3743 | + $_1010011 = self::sc25519_mul($_11, $_1010000); |
|
| 3744 | + $_1100011 = self::sc25519_mul($_10000, $_1010011); |
|
| 3745 | + $_1100111 = self::sc25519_mul($_100, $_1100011); |
|
| 3746 | + $_1101011 = self::sc25519_mul($_100, $_1100111); |
|
| 3747 | + $_10010011 = self::sc25519_mul($_1000000, $_1010011); |
|
| 3748 | + $_10010111 = self::sc25519_mul($_100, $_10010011); |
|
| 3749 | + $_10111101 = self::sc25519_mul($_100110, $_10010111); |
|
| 3750 | + $_11010011 = self::sc25519_mul($_10110, $_10111101); |
|
| 3751 | + $_11100111 = self::sc25519_mul($_1010000, $_10010111); |
|
| 3752 | + $_11101011 = self::sc25519_mul($_100, $_11100111); |
|
| 3753 | + $_11110101 = self::sc25519_mul($_1010, $_11101011); |
|
| 3754 | + |
|
| 3755 | + $recip = self::sc25519_mul($_1011, $_11110101); |
|
| 3756 | + $recip = self::sc25519_sqmul($recip, 126, $_1010011); |
|
| 3757 | + $recip = self::sc25519_sqmul($recip, 9, $_10); |
|
| 3758 | + $recip = self::sc25519_mul($recip, $_11110101); |
|
| 3759 | + $recip = self::sc25519_sqmul($recip, 7, $_1100111); |
|
| 3760 | + $recip = self::sc25519_sqmul($recip, 9, $_11110101); |
|
| 3761 | + $recip = self::sc25519_sqmul($recip, 11, $_10111101); |
|
| 3762 | + $recip = self::sc25519_sqmul($recip, 8, $_11100111); |
|
| 3763 | + $recip = self::sc25519_sqmul($recip, 9, $_1101011); |
|
| 3764 | + $recip = self::sc25519_sqmul($recip, 6, $_1011); |
|
| 3765 | + $recip = self::sc25519_sqmul($recip, 14, $_10010011); |
|
| 3766 | + $recip = self::sc25519_sqmul($recip, 10, $_1100011); |
|
| 3767 | + $recip = self::sc25519_sqmul($recip, 9, $_10010111); |
|
| 3768 | + $recip = self::sc25519_sqmul($recip, 10, $_11110101); |
|
| 3769 | + $recip = self::sc25519_sqmul($recip, 8, $_11010011); |
|
| 3770 | + return self::sc25519_sqmul($recip, 8, $_11101011); |
|
| 3771 | + } |
|
| 3772 | + |
|
| 3773 | + /** |
|
| 3774 | + * @param string $s |
|
| 3775 | + * @return string |
|
| 3776 | + */ |
|
| 3777 | + public static function clamp($s) |
|
| 3778 | + { |
|
| 3779 | + $s_ = self::stringToIntArray($s); |
|
| 3780 | + $s_[0] &= 248; |
|
| 3781 | + $s_[31] |= 64; |
|
| 3782 | + $s_[31] &= 128; |
|
| 3783 | + return self::intArrayToString($s_); |
|
| 3784 | + } |
|
| 3785 | 3785 | } |
@@ -5,703 +5,703 @@ |
||
| 5 | 5 | */ |
| 6 | 6 | class ParagonIE_Sodium_Core_Ristretto255 extends ParagonIE_Sodium_Core_Ed25519 |
| 7 | 7 | { |
| 8 | - const crypto_core_ristretto255_HASHBYTES = 64; |
|
| 9 | - const HASH_SC_L = 48; |
|
| 10 | - const CORE_H2C_SHA256 = 1; |
|
| 11 | - const CORE_H2C_SHA512 = 2; |
|
| 12 | - |
|
| 13 | - /** |
|
| 14 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 15 | - * @param int $b |
|
| 16 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 17 | - */ |
|
| 18 | - public static function fe_cneg(ParagonIE_Sodium_Core_Curve25519_Fe $f, $b) |
|
| 19 | - { |
|
| 20 | - $negf = self::fe_neg($f); |
|
| 21 | - return self::fe_cmov($f, $negf, $b); |
|
| 22 | - } |
|
| 23 | - |
|
| 24 | - /** |
|
| 25 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 26 | - * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 27 | - * @throws SodiumException |
|
| 28 | - */ |
|
| 29 | - public static function fe_abs(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 30 | - { |
|
| 31 | - return self::fe_cneg($f, self::fe_isnegative($f)); |
|
| 32 | - } |
|
| 33 | - |
|
| 34 | - /** |
|
| 35 | - * Returns 0 if this field element results in all NUL bytes. |
|
| 36 | - * |
|
| 37 | - * @internal You should not use this directly from another application |
|
| 38 | - * |
|
| 39 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 40 | - * @return int |
|
| 41 | - * @throws SodiumException |
|
| 42 | - */ |
|
| 43 | - public static function fe_iszero(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 44 | - { |
|
| 45 | - static $zero; |
|
| 46 | - if ($zero === null) { |
|
| 47 | - $zero = str_repeat("\x00", 32); |
|
| 48 | - } |
|
| 49 | - /** @var string $zero */ |
|
| 50 | - $str = self::fe_tobytes($f); |
|
| 51 | - |
|
| 52 | - $d = 0; |
|
| 53 | - for ($i = 0; $i < 32; ++$i) { |
|
| 54 | - $d |= self::chrToInt($str[$i]); |
|
| 55 | - } |
|
| 56 | - return (($d - 1) >> 31) & 1; |
|
| 57 | - } |
|
| 58 | - |
|
| 59 | - |
|
| 60 | - /** |
|
| 61 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $u |
|
| 62 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $v |
|
| 63 | - * @return array{x: ParagonIE_Sodium_Core_Curve25519_Fe, nonsquare: int} |
|
| 64 | - * |
|
| 65 | - * @throws SodiumException |
|
| 66 | - */ |
|
| 67 | - public static function ristretto255_sqrt_ratio_m1( |
|
| 68 | - ParagonIE_Sodium_Core_Curve25519_Fe $u, |
|
| 69 | - ParagonIE_Sodium_Core_Curve25519_Fe $v |
|
| 70 | - ) { |
|
| 71 | - $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 72 | - |
|
| 73 | - $v3 = self::fe_mul( |
|
| 74 | - self::fe_sq($v), |
|
| 75 | - $v |
|
| 76 | - ); /* v3 = v^3 */ |
|
| 77 | - $x = self::fe_mul( |
|
| 78 | - self::fe_mul( |
|
| 79 | - self::fe_sq($v3), |
|
| 80 | - $u |
|
| 81 | - ), |
|
| 82 | - $v |
|
| 83 | - ); /* x = uv^7 */ |
|
| 84 | - |
|
| 85 | - $x = self::fe_mul( |
|
| 86 | - self::fe_mul( |
|
| 87 | - self::fe_pow22523($x), /* x = (uv^7)^((q-5)/8) */ |
|
| 88 | - $v3 |
|
| 89 | - ), |
|
| 90 | - $u |
|
| 91 | - ); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 92 | - |
|
| 93 | - $vxx = self::fe_mul( |
|
| 94 | - self::fe_sq($x), |
|
| 95 | - $v |
|
| 96 | - ); /* vx^2 */ |
|
| 97 | - |
|
| 98 | - $m_root_check = self::fe_sub($vxx, $u); /* vx^2-u */ |
|
| 99 | - $p_root_check = self::fe_add($vxx, $u); /* vx^2+u */ |
|
| 100 | - $f_root_check = self::fe_mul($u, $sqrtm1); /* u*sqrt(-1) */ |
|
| 101 | - $f_root_check = self::fe_add($vxx, $f_root_check); /* vx^2+u*sqrt(-1) */ |
|
| 102 | - |
|
| 103 | - $has_m_root = self::fe_iszero($m_root_check); |
|
| 104 | - $has_p_root = self::fe_iszero($p_root_check); |
|
| 105 | - $has_f_root = self::fe_iszero($f_root_check); |
|
| 106 | - |
|
| 107 | - $x_sqrtm1 = self::fe_mul($x, $sqrtm1); /* x*sqrt(-1) */ |
|
| 108 | - |
|
| 109 | - $x = self::fe_abs( |
|
| 110 | - self::fe_cmov($x, $x_sqrtm1, $has_p_root | $has_f_root) |
|
| 111 | - ); |
|
| 112 | - return array( |
|
| 113 | - 'x' => $x, |
|
| 114 | - 'nonsquare' => $has_m_root | $has_p_root |
|
| 115 | - ); |
|
| 116 | - } |
|
| 117 | - |
|
| 118 | - /** |
|
| 119 | - * @param string $s |
|
| 120 | - * @return int |
|
| 121 | - * @throws SodiumException |
|
| 122 | - */ |
|
| 123 | - public static function ristretto255_point_is_canonical($s) |
|
| 124 | - { |
|
| 125 | - $c = (self::chrToInt($s[31]) & 0x7f) ^ 0x7f; |
|
| 126 | - for ($i = 30; $i > 0; --$i) { |
|
| 127 | - $c |= self::chrToInt($s[$i]) ^ 0xff; |
|
| 128 | - } |
|
| 129 | - $c = ($c - 1) >> 8; |
|
| 130 | - $d = (0xed - 1 - self::chrToInt($s[0])) >> 8; |
|
| 131 | - $e = self::chrToInt($s[31]) >> 7; |
|
| 132 | - |
|
| 133 | - return 1 - ((($c & $d) | $e | self::chrToInt($s[0])) & 1); |
|
| 134 | - } |
|
| 135 | - |
|
| 136 | - /** |
|
| 137 | - * @param string $s |
|
| 138 | - * @param bool $skipCanonicalCheck |
|
| 139 | - * @return array{h: ParagonIE_Sodium_Core_Curve25519_Ge_P3, res: int} |
|
| 140 | - * @throws SodiumException |
|
| 141 | - */ |
|
| 142 | - public static function ristretto255_frombytes($s, $skipCanonicalCheck = false) |
|
| 143 | - { |
|
| 144 | - if (!$skipCanonicalCheck) { |
|
| 145 | - if (!self::ristretto255_point_is_canonical($s)) { |
|
| 146 | - throw new SodiumException('S is not canonical'); |
|
| 147 | - } |
|
| 148 | - } |
|
| 149 | - |
|
| 150 | - $s_ = self::fe_frombytes($s); |
|
| 151 | - $ss = self::fe_sq($s_); /* ss = s^2 */ |
|
| 152 | - |
|
| 153 | - $u1 = self::fe_sub(self::fe_1(), $ss); /* u1 = 1-ss */ |
|
| 154 | - $u1u1 = self::fe_sq($u1); /* u1u1 = u1^2 */ |
|
| 155 | - |
|
| 156 | - $u2 = self::fe_add(self::fe_1(), $ss); /* u2 = 1+ss */ |
|
| 157 | - $u2u2 = self::fe_sq($u2); /* u2u2 = u2^2 */ |
|
| 158 | - |
|
| 159 | - $v = self::fe_mul( |
|
| 160 | - ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d), |
|
| 161 | - $u1u1 |
|
| 162 | - ); /* v = d*u1^2 */ |
|
| 163 | - $v = self::fe_neg($v); /* v = -d*u1^2 */ |
|
| 164 | - $v = self::fe_sub($v, $u2u2); /* v = -(d*u1^2)-u2^2 */ |
|
| 165 | - $v_u2u2 = self::fe_mul($v, $u2u2); /* v_u2u2 = v*u2^2 */ |
|
| 166 | - |
|
| 167 | - // fe25519_1(one); |
|
| 168 | - // notsquare = ristretto255_sqrt_ratio_m1(inv_sqrt, one, v_u2u2); |
|
| 169 | - $one = self::fe_1(); |
|
| 170 | - $result = self::ristretto255_sqrt_ratio_m1($one, $v_u2u2); |
|
| 171 | - $inv_sqrt = $result['x']; |
|
| 172 | - $notsquare = $result['nonsquare']; |
|
| 173 | - |
|
| 174 | - $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3(); |
|
| 175 | - |
|
| 176 | - $h->X = self::fe_mul($inv_sqrt, $u2); |
|
| 177 | - $h->Y = self::fe_mul(self::fe_mul($inv_sqrt, $h->X), $v); |
|
| 178 | - |
|
| 179 | - $h->X = self::fe_mul($h->X, $s_); |
|
| 180 | - $h->X = self::fe_abs( |
|
| 181 | - self::fe_add($h->X, $h->X) |
|
| 182 | - ); |
|
| 183 | - $h->Y = self::fe_mul($u1, $h->Y); |
|
| 184 | - $h->Z = self::fe_1(); |
|
| 185 | - $h->T = self::fe_mul($h->X, $h->Y); |
|
| 186 | - |
|
| 187 | - $res = - ((1 - $notsquare) | self::fe_isnegative($h->T) | self::fe_iszero($h->Y)); |
|
| 188 | - return array('h' => $h, 'res' => $res); |
|
| 189 | - } |
|
| 190 | - |
|
| 191 | - /** |
|
| 192 | - * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h |
|
| 193 | - * @return string |
|
| 194 | - * @throws SodiumException |
|
| 195 | - */ |
|
| 196 | - public static function ristretto255_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h) |
|
| 197 | - { |
|
| 198 | - $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 199 | - $invsqrtamd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$invsqrtamd); |
|
| 200 | - |
|
| 201 | - $u1 = self::fe_add($h->Z, $h->Y); /* u1 = Z+Y */ |
|
| 202 | - $zmy = self::fe_sub($h->Z, $h->Y); /* zmy = Z-Y */ |
|
| 203 | - $u1 = self::fe_mul($u1, $zmy); /* u1 = (Z+Y)*(Z-Y) */ |
|
| 204 | - $u2 = self::fe_mul($h->X, $h->Y); /* u2 = X*Y */ |
|
| 205 | - |
|
| 206 | - $u1_u2u2 = self::fe_mul(self::fe_sq($u2), $u1); /* u1_u2u2 = u1*u2^2 */ |
|
| 207 | - $one = self::fe_1(); |
|
| 208 | - |
|
| 209 | - // fe25519_1(one); |
|
| 210 | - // (void) ristretto255_sqrt_ratio_m1(inv_sqrt, one, u1_u2u2); |
|
| 211 | - $result = self::ristretto255_sqrt_ratio_m1($one, $u1_u2u2); |
|
| 212 | - $inv_sqrt = $result['x']; |
|
| 213 | - |
|
| 214 | - $den1 = self::fe_mul($inv_sqrt, $u1); /* den1 = inv_sqrt*u1 */ |
|
| 215 | - $den2 = self::fe_mul($inv_sqrt, $u2); /* den2 = inv_sqrt*u2 */ |
|
| 216 | - $z_inv = self::fe_mul($h->T, self::fe_mul($den1, $den2)); /* z_inv = den1*den2*T */ |
|
| 217 | - |
|
| 218 | - $ix = self::fe_mul($h->X, $sqrtm1); /* ix = X*sqrt(-1) */ |
|
| 219 | - $iy = self::fe_mul($h->Y, $sqrtm1); /* iy = Y*sqrt(-1) */ |
|
| 220 | - $eden = self::fe_mul($den1, $invsqrtamd); |
|
| 221 | - |
|
| 222 | - $t_z_inv = self::fe_mul($h->T, $z_inv); /* t_z_inv = T*z_inv */ |
|
| 223 | - $rotate = self::fe_isnegative($t_z_inv); |
|
| 224 | - |
|
| 225 | - $x_ = self::fe_copy($h->X); |
|
| 226 | - $y_ = self::fe_copy($h->Y); |
|
| 227 | - $den_inv = self::fe_copy($den2); |
|
| 228 | - |
|
| 229 | - $x_ = self::fe_cmov($x_, $iy, $rotate); |
|
| 230 | - $y_ = self::fe_cmov($y_, $ix, $rotate); |
|
| 231 | - $den_inv = self::fe_cmov($den_inv, $eden, $rotate); |
|
| 232 | - |
|
| 233 | - $x_z_inv = self::fe_mul($x_, $z_inv); |
|
| 234 | - $y_ = self::fe_cneg($y_, self::fe_isnegative($x_z_inv)); |
|
| 235 | - |
|
| 236 | - |
|
| 237 | - // fe25519_sub(s_, h->Z, y_); |
|
| 238 | - // fe25519_mul(s_, den_inv, s_); |
|
| 239 | - // fe25519_abs(s_, s_); |
|
| 240 | - // fe25519_tobytes(s, s_); |
|
| 241 | - return self::fe_tobytes( |
|
| 242 | - self::fe_abs( |
|
| 243 | - self::fe_mul( |
|
| 244 | - $den_inv, |
|
| 245 | - self::fe_sub($h->Z, $y_) |
|
| 246 | - ) |
|
| 247 | - ) |
|
| 248 | - ); |
|
| 249 | - } |
|
| 250 | - |
|
| 251 | - /** |
|
| 252 | - * @param ParagonIE_Sodium_Core_Curve25519_Fe $t |
|
| 253 | - * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 254 | - * |
|
| 255 | - * @throws SodiumException |
|
| 256 | - */ |
|
| 257 | - public static function ristretto255_elligator(ParagonIE_Sodium_Core_Curve25519_Fe $t) |
|
| 258 | - { |
|
| 259 | - $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 260 | - $onemsqd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$onemsqd); |
|
| 261 | - $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); |
|
| 262 | - $sqdmone = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqdmone); |
|
| 263 | - $sqrtadm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtadm1); |
|
| 264 | - |
|
| 265 | - $one = self::fe_1(); |
|
| 266 | - $r = self::fe_mul($sqrtm1, self::fe_sq($t)); /* r = sqrt(-1)*t^2 */ |
|
| 267 | - $u = self::fe_mul(self::fe_add($r, $one), $onemsqd); /* u = (r+1)*(1-d^2) */ |
|
| 268 | - $c = self::fe_neg(self::fe_1()); /* c = -1 */ |
|
| 269 | - $rpd = self::fe_add($r, $d); /* rpd = r+d */ |
|
| 270 | - |
|
| 271 | - $v = self::fe_mul( |
|
| 272 | - self::fe_sub( |
|
| 273 | - $c, |
|
| 274 | - self::fe_mul($r, $d) |
|
| 275 | - ), |
|
| 276 | - $rpd |
|
| 277 | - ); /* v = (c-r*d)*(r+d) */ |
|
| 278 | - |
|
| 279 | - $result = self::ristretto255_sqrt_ratio_m1($u, $v); |
|
| 280 | - $s = $result['x']; |
|
| 281 | - $wasnt_square = 1 - $result['nonsquare']; |
|
| 282 | - |
|
| 283 | - $s_prime = self::fe_neg( |
|
| 284 | - self::fe_abs( |
|
| 285 | - self::fe_mul($s, $t) |
|
| 286 | - ) |
|
| 287 | - ); /* s_prime = -|s*t| */ |
|
| 288 | - $s = self::fe_cmov($s, $s_prime, $wasnt_square); |
|
| 289 | - $c = self::fe_cmov($c, $r, $wasnt_square); |
|
| 290 | - |
|
| 291 | - // fe25519_sub(n, r, one); /* n = r-1 */ |
|
| 292 | - // fe25519_mul(n, n, c); /* n = c*(r-1) */ |
|
| 293 | - // fe25519_mul(n, n, ed25519_sqdmone); /* n = c*(r-1)*(d-1)^2 */ |
|
| 294 | - // fe25519_sub(n, n, v); /* n = c*(r-1)*(d-1)^2-v */ |
|
| 295 | - $n = self::fe_sub( |
|
| 296 | - self::fe_mul( |
|
| 297 | - self::fe_mul( |
|
| 298 | - self::fe_sub($r, $one), |
|
| 299 | - $c |
|
| 300 | - ), |
|
| 301 | - $sqdmone |
|
| 302 | - ), |
|
| 303 | - $v |
|
| 304 | - ); /* n = c*(r-1)*(d-1)^2-v */ |
|
| 305 | - |
|
| 306 | - $w0 = self::fe_mul( |
|
| 307 | - self::fe_add($s, $s), |
|
| 308 | - $v |
|
| 309 | - ); /* w0 = 2s*v */ |
|
| 310 | - |
|
| 311 | - $w1 = self::fe_mul($n, $sqrtadm1); /* w1 = n*sqrt(ad-1) */ |
|
| 312 | - $ss = self::fe_sq($s); /* ss = s^2 */ |
|
| 313 | - $w2 = self::fe_sub($one, $ss); /* w2 = 1-s^2 */ |
|
| 314 | - $w3 = self::fe_add($one, $ss); /* w3 = 1+s^2 */ |
|
| 315 | - |
|
| 316 | - return new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 317 | - self::fe_mul($w0, $w3), |
|
| 318 | - self::fe_mul($w2, $w1), |
|
| 319 | - self::fe_mul($w1, $w3), |
|
| 320 | - self::fe_mul($w0, $w2) |
|
| 321 | - ); |
|
| 322 | - } |
|
| 323 | - |
|
| 324 | - /** |
|
| 325 | - * @param string $h |
|
| 326 | - * @return string |
|
| 327 | - * @throws SodiumException |
|
| 328 | - */ |
|
| 329 | - public static function ristretto255_from_hash($h) |
|
| 330 | - { |
|
| 331 | - if (self::strlen($h) !== 64) { |
|
| 332 | - throw new SodiumException('Hash must be 64 bytes'); |
|
| 333 | - } |
|
| 334 | - //fe25519_frombytes(r0, h); |
|
| 335 | - //fe25519_frombytes(r1, h + 32); |
|
| 336 | - $r0 = self::fe_frombytes(self::substr($h, 0, 32)); |
|
| 337 | - $r1 = self::fe_frombytes(self::substr($h, 32, 32)); |
|
| 338 | - |
|
| 339 | - //ristretto255_elligator(&p0, r0); |
|
| 340 | - //ristretto255_elligator(&p1, r1); |
|
| 341 | - $p0 = self::ristretto255_elligator($r0); |
|
| 342 | - $p1 = self::ristretto255_elligator($r1); |
|
| 343 | - |
|
| 344 | - //ge25519_p3_to_cached(&p1_cached, &p1); |
|
| 345 | - //ge25519_add_cached(&p_p1p1, &p0, &p1_cached); |
|
| 346 | - $p_p1p1 = self::ge_add( |
|
| 347 | - $p0, |
|
| 348 | - self::ge_p3_to_cached($p1) |
|
| 349 | - ); |
|
| 350 | - |
|
| 351 | - //ge25519_p1p1_to_p3(&p, &p_p1p1); |
|
| 352 | - //ristretto255_p3_tobytes(s, &p); |
|
| 353 | - return self::ristretto255_p3_tobytes( |
|
| 354 | - self::ge_p1p1_to_p3($p_p1p1) |
|
| 355 | - ); |
|
| 356 | - } |
|
| 357 | - |
|
| 358 | - /** |
|
| 359 | - * @param string $p |
|
| 360 | - * @return int |
|
| 361 | - * @throws SodiumException |
|
| 362 | - */ |
|
| 363 | - public static function is_valid_point($p) |
|
| 364 | - { |
|
| 365 | - $result = self::ristretto255_frombytes($p); |
|
| 366 | - if ($result['res'] !== 0) { |
|
| 367 | - return 0; |
|
| 368 | - } |
|
| 369 | - return 1; |
|
| 370 | - } |
|
| 371 | - |
|
| 372 | - /** |
|
| 373 | - * @param string $p |
|
| 374 | - * @param string $q |
|
| 375 | - * @return string |
|
| 376 | - * @throws SodiumException |
|
| 377 | - */ |
|
| 378 | - public static function ristretto255_add($p, $q) |
|
| 379 | - { |
|
| 380 | - $p_res = self::ristretto255_frombytes($p); |
|
| 381 | - $q_res = self::ristretto255_frombytes($q); |
|
| 382 | - if ($p_res['res'] !== 0 || $q_res['res'] !== 0) { |
|
| 383 | - throw new SodiumException('Could not add points'); |
|
| 384 | - } |
|
| 385 | - $p_p3 = $p_res['h']; |
|
| 386 | - $q_p3 = $q_res['h']; |
|
| 387 | - $q_cached = self::ge_p3_to_cached($q_p3); |
|
| 388 | - $r_p1p1 = self::ge_add($p_p3, $q_cached); |
|
| 389 | - $r_p3 = self::ge_p1p1_to_p3($r_p1p1); |
|
| 390 | - return self::ristretto255_p3_tobytes($r_p3); |
|
| 391 | - } |
|
| 392 | - |
|
| 393 | - /** |
|
| 394 | - * @param string $p |
|
| 395 | - * @param string $q |
|
| 396 | - * @return string |
|
| 397 | - * @throws SodiumException |
|
| 398 | - */ |
|
| 399 | - public static function ristretto255_sub($p, $q) |
|
| 400 | - { |
|
| 401 | - $p_res = self::ristretto255_frombytes($p); |
|
| 402 | - $q_res = self::ristretto255_frombytes($q); |
|
| 403 | - if ($p_res['res'] !== 0 || $q_res['res'] !== 0) { |
|
| 404 | - throw new SodiumException('Could not add points'); |
|
| 405 | - } |
|
| 406 | - $p_p3 = $p_res['h']; |
|
| 407 | - $q_p3 = $q_res['h']; |
|
| 408 | - $q_cached = self::ge_p3_to_cached($q_p3); |
|
| 409 | - $r_p1p1 = self::ge_sub($p_p3, $q_cached); |
|
| 410 | - $r_p3 = self::ge_p1p1_to_p3($r_p1p1); |
|
| 411 | - return self::ristretto255_p3_tobytes($r_p3); |
|
| 412 | - } |
|
| 413 | - |
|
| 414 | - |
|
| 415 | - /** |
|
| 416 | - * @param int $hLen |
|
| 417 | - * @param ?string $ctx |
|
| 418 | - * @param string $msg |
|
| 419 | - * @return string |
|
| 420 | - * @throws SodiumException |
|
| 421 | - * @psalm-suppress PossiblyInvalidArgument hash API |
|
| 422 | - */ |
|
| 423 | - protected static function h2c_string_to_hash_sha256($hLen, $ctx, $msg) |
|
| 424 | - { |
|
| 425 | - $h = array_fill(0, $hLen, 0); |
|
| 426 | - $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; |
|
| 427 | - if ($hLen > 0xff) { |
|
| 428 | - throw new SodiumException('Hash must be less than 256 bytes'); |
|
| 429 | - } |
|
| 430 | - |
|
| 431 | - if ($ctx_len > 0xff) { |
|
| 432 | - $st = hash_init('sha256'); |
|
| 433 | - self::hash_update($st, "H2C-OVERSIZE-DST-"); |
|
| 434 | - self::hash_update($st, $ctx); |
|
| 435 | - $ctx = hash_final($st, true); |
|
| 436 | - $ctx_len = 32; |
|
| 437 | - } |
|
| 438 | - $t = array(0, $hLen, 0); |
|
| 439 | - $ux = str_repeat("\0", 64); |
|
| 440 | - $st = hash_init('sha256'); |
|
| 441 | - self::hash_update($st, $ux); |
|
| 442 | - self::hash_update($st, $msg); |
|
| 443 | - self::hash_update($st, self::intArrayToString($t)); |
|
| 444 | - self::hash_update($st, $ctx); |
|
| 445 | - self::hash_update($st, self::intToChr($ctx_len)); |
|
| 446 | - $u0 = hash_final($st, true); |
|
| 447 | - |
|
| 448 | - for ($i = 0; $i < $hLen; $i += 64) { |
|
| 449 | - $ux = self::xorStrings($ux, $u0); |
|
| 450 | - ++$t[2]; |
|
| 451 | - $st = hash_init('sha256'); |
|
| 452 | - self::hash_update($st, $ux); |
|
| 453 | - self::hash_update($st, self::intToChr($t[2])); |
|
| 454 | - self::hash_update($st, $ctx); |
|
| 455 | - self::hash_update($st, self::intToChr($ctx_len)); |
|
| 456 | - $ux = hash_final($st, true); |
|
| 457 | - $amount = min($hLen - $i, 64); |
|
| 458 | - for ($j = 0; $j < $amount; ++$j) { |
|
| 459 | - $h[$i + $j] = self::chrToInt($ux[$i]); |
|
| 460 | - } |
|
| 461 | - } |
|
| 462 | - return self::intArrayToString(array_slice($h, 0, $hLen)); |
|
| 463 | - } |
|
| 464 | - |
|
| 465 | - /** |
|
| 466 | - * @param int $hLen |
|
| 467 | - * @param ?string $ctx |
|
| 468 | - * @param string $msg |
|
| 469 | - * @return string |
|
| 470 | - * @throws SodiumException |
|
| 471 | - * @psalm-suppress PossiblyInvalidArgument hash API |
|
| 472 | - */ |
|
| 473 | - protected static function h2c_string_to_hash_sha512($hLen, $ctx, $msg) |
|
| 474 | - { |
|
| 475 | - $h = array_fill(0, $hLen, 0); |
|
| 476 | - $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; |
|
| 477 | - if ($hLen > 0xff) { |
|
| 478 | - throw new SodiumException('Hash must be less than 256 bytes'); |
|
| 479 | - } |
|
| 480 | - |
|
| 481 | - if ($ctx_len > 0xff) { |
|
| 482 | - $st = hash_init('sha256'); |
|
| 483 | - self::hash_update($st, "H2C-OVERSIZE-DST-"); |
|
| 484 | - self::hash_update($st, $ctx); |
|
| 485 | - $ctx = hash_final($st, true); |
|
| 486 | - $ctx_len = 32; |
|
| 487 | - } |
|
| 488 | - $t = array(0, $hLen, 0); |
|
| 489 | - $ux = str_repeat("\0", 128); |
|
| 490 | - $st = hash_init('sha512'); |
|
| 491 | - self::hash_update($st, $ux); |
|
| 492 | - self::hash_update($st, $msg); |
|
| 493 | - self::hash_update($st, self::intArrayToString($t)); |
|
| 494 | - self::hash_update($st, $ctx); |
|
| 495 | - self::hash_update($st, self::intToChr($ctx_len)); |
|
| 496 | - $u0 = hash_final($st, true); |
|
| 497 | - |
|
| 498 | - for ($i = 0; $i < $hLen; $i += 128) { |
|
| 499 | - $ux = self::xorStrings($ux, $u0); |
|
| 500 | - ++$t[2]; |
|
| 501 | - $st = hash_init('sha512'); |
|
| 502 | - self::hash_update($st, $ux); |
|
| 503 | - self::hash_update($st, self::intToChr($t[2])); |
|
| 504 | - self::hash_update($st, $ctx); |
|
| 505 | - self::hash_update($st, self::intToChr($ctx_len)); |
|
| 506 | - $ux = hash_final($st, true); |
|
| 507 | - $amount = min($hLen - $i, 128); |
|
| 508 | - for ($j = 0; $j < $amount; ++$j) { |
|
| 509 | - $h[$i + $j] = self::chrToInt($ux[$i]); |
|
| 510 | - } |
|
| 511 | - } |
|
| 512 | - return self::intArrayToString(array_slice($h, 0, $hLen)); |
|
| 513 | - } |
|
| 514 | - |
|
| 515 | - /** |
|
| 516 | - * @param int $hLen |
|
| 517 | - * @param ?string $ctx |
|
| 518 | - * @param string $msg |
|
| 519 | - * @param int $hash_alg |
|
| 520 | - * @return string |
|
| 521 | - * @throws SodiumException |
|
| 522 | - */ |
|
| 523 | - public static function h2c_string_to_hash($hLen, $ctx, $msg, $hash_alg) |
|
| 524 | - { |
|
| 525 | - switch ($hash_alg) { |
|
| 526 | - case self::CORE_H2C_SHA256: |
|
| 527 | - return self::h2c_string_to_hash_sha256($hLen, $ctx, $msg); |
|
| 528 | - case self::CORE_H2C_SHA512: |
|
| 529 | - return self::h2c_string_to_hash_sha512($hLen, $ctx, $msg); |
|
| 530 | - default: |
|
| 531 | - throw new SodiumException('Invalid H2C hash algorithm'); |
|
| 532 | - } |
|
| 533 | - } |
|
| 534 | - |
|
| 535 | - /** |
|
| 536 | - * @param ?string $ctx |
|
| 537 | - * @param string $msg |
|
| 538 | - * @param int $hash_alg |
|
| 539 | - * @return string |
|
| 540 | - * @throws SodiumException |
|
| 541 | - */ |
|
| 542 | - protected static function _string_to_element($ctx, $msg, $hash_alg) |
|
| 543 | - { |
|
| 544 | - return self::ristretto255_from_hash( |
|
| 545 | - self::h2c_string_to_hash(self::crypto_core_ristretto255_HASHBYTES, $ctx, $msg, $hash_alg) |
|
| 546 | - ); |
|
| 547 | - } |
|
| 548 | - |
|
| 549 | - /** |
|
| 550 | - * @return string |
|
| 551 | - * @throws SodiumException |
|
| 552 | - * @throws Exception |
|
| 553 | - */ |
|
| 554 | - public static function ristretto255_random() |
|
| 555 | - { |
|
| 556 | - return self::ristretto255_from_hash( |
|
| 557 | - ParagonIE_Sodium_Compat::randombytes_buf(self::crypto_core_ristretto255_HASHBYTES) |
|
| 558 | - ); |
|
| 559 | - } |
|
| 560 | - |
|
| 561 | - /** |
|
| 562 | - * @return string |
|
| 563 | - * @throws SodiumException |
|
| 564 | - */ |
|
| 565 | - public static function ristretto255_scalar_random() |
|
| 566 | - { |
|
| 567 | - return self::scalar_random(); |
|
| 568 | - } |
|
| 569 | - |
|
| 570 | - /** |
|
| 571 | - * @param string $s |
|
| 572 | - * @return string |
|
| 573 | - * @throws SodiumException |
|
| 574 | - */ |
|
| 575 | - public static function ristretto255_scalar_complement($s) |
|
| 576 | - { |
|
| 577 | - return self::scalar_complement($s); |
|
| 578 | - } |
|
| 579 | - |
|
| 580 | - |
|
| 581 | - /** |
|
| 582 | - * @param string $s |
|
| 583 | - * @return string |
|
| 584 | - */ |
|
| 585 | - public static function ristretto255_scalar_invert($s) |
|
| 586 | - { |
|
| 587 | - return self::sc25519_invert($s); |
|
| 588 | - } |
|
| 589 | - |
|
| 590 | - /** |
|
| 591 | - * @param string $s |
|
| 592 | - * @return string |
|
| 593 | - * @throws SodiumException |
|
| 594 | - */ |
|
| 595 | - public static function ristretto255_scalar_negate($s) |
|
| 596 | - { |
|
| 597 | - return self::scalar_negate($s); |
|
| 598 | - } |
|
| 599 | - |
|
| 600 | - /** |
|
| 601 | - * @param string $x |
|
| 602 | - * @param string $y |
|
| 603 | - * @return string |
|
| 604 | - */ |
|
| 605 | - public static function ristretto255_scalar_add($x, $y) |
|
| 606 | - { |
|
| 607 | - return self::scalar_add($x, $y); |
|
| 608 | - } |
|
| 609 | - |
|
| 610 | - /** |
|
| 611 | - * @param string $x |
|
| 612 | - * @param string $y |
|
| 613 | - * @return string |
|
| 614 | - */ |
|
| 615 | - public static function ristretto255_scalar_sub($x, $y) |
|
| 616 | - { |
|
| 617 | - return self::scalar_sub($x, $y); |
|
| 618 | - } |
|
| 619 | - |
|
| 620 | - /** |
|
| 621 | - * @param string $x |
|
| 622 | - * @param string $y |
|
| 623 | - * @return string |
|
| 624 | - */ |
|
| 625 | - public static function ristretto255_scalar_mul($x, $y) |
|
| 626 | - { |
|
| 627 | - return self::sc25519_mul($x, $y); |
|
| 628 | - } |
|
| 629 | - |
|
| 630 | - /** |
|
| 631 | - * @param string $ctx |
|
| 632 | - * @param string $msg |
|
| 633 | - * @param int $hash_alg |
|
| 634 | - * @return string |
|
| 635 | - * @throws SodiumException |
|
| 636 | - */ |
|
| 637 | - public static function ristretto255_scalar_from_string($ctx, $msg, $hash_alg) |
|
| 638 | - { |
|
| 639 | - $h = array_fill(0, 64, 0); |
|
| 640 | - $h_be = self::stringToIntArray( |
|
| 641 | - self::h2c_string_to_hash( |
|
| 642 | - self::HASH_SC_L, $ctx, $msg, $hash_alg |
|
| 643 | - ) |
|
| 644 | - ); |
|
| 645 | - |
|
| 646 | - for ($i = 0; $i < self::HASH_SC_L; ++$i) { |
|
| 647 | - $h[$i] = $h_be[self::HASH_SC_L - 1 - $i]; |
|
| 648 | - } |
|
| 649 | - return self::ristretto255_scalar_reduce(self::intArrayToString($h)); |
|
| 650 | - } |
|
| 651 | - |
|
| 652 | - /** |
|
| 653 | - * @param string $s |
|
| 654 | - * @return string |
|
| 655 | - */ |
|
| 656 | - public static function ristretto255_scalar_reduce($s) |
|
| 657 | - { |
|
| 658 | - return self::sc_reduce($s); |
|
| 659 | - } |
|
| 660 | - |
|
| 661 | - /** |
|
| 662 | - * @param string $n |
|
| 663 | - * @param string $p |
|
| 664 | - * @return string |
|
| 665 | - * @throws SodiumException |
|
| 666 | - */ |
|
| 667 | - public static function scalarmult_ristretto255($n, $p) |
|
| 668 | - { |
|
| 669 | - if (self::strlen($n) !== 32) { |
|
| 670 | - throw new SodiumException('Scalar must be 32 bytes, ' . self::strlen($p) . ' given.'); |
|
| 671 | - } |
|
| 672 | - if (self::strlen($p) !== 32) { |
|
| 673 | - throw new SodiumException('Point must be 32 bytes, ' . self::strlen($p) . ' given.'); |
|
| 674 | - } |
|
| 675 | - $result = self::ristretto255_frombytes($p); |
|
| 676 | - if ($result['res'] !== 0) { |
|
| 677 | - throw new SodiumException('Could not multiply points'); |
|
| 678 | - } |
|
| 679 | - $P = $result['h']; |
|
| 680 | - |
|
| 681 | - $t = self::stringToIntArray($n); |
|
| 682 | - $t[31] &= 0x7f; |
|
| 683 | - $Q = self::ge_scalarmult(self::intArrayToString($t), $P); |
|
| 684 | - $q = self::ristretto255_p3_tobytes($Q); |
|
| 685 | - if (ParagonIE_Sodium_Compat::is_zero($q)) { |
|
| 686 | - throw new SodiumException('An unknown error has occurred'); |
|
| 687 | - } |
|
| 688 | - return $q; |
|
| 689 | - } |
|
| 690 | - |
|
| 691 | - /** |
|
| 692 | - * @param string $n |
|
| 693 | - * @return string |
|
| 694 | - * @throws SodiumException |
|
| 695 | - */ |
|
| 696 | - public static function scalarmult_ristretto255_base($n) |
|
| 697 | - { |
|
| 698 | - $t = self::stringToIntArray($n); |
|
| 699 | - $t[31] &= 0x7f; |
|
| 700 | - $Q = self::ge_scalarmult_base(self::intArrayToString($t)); |
|
| 701 | - $q = self::ristretto255_p3_tobytes($Q); |
|
| 702 | - if (ParagonIE_Sodium_Compat::is_zero($q)) { |
|
| 703 | - throw new SodiumException('An unknown error has occurred'); |
|
| 704 | - } |
|
| 705 | - return $q; |
|
| 706 | - } |
|
| 8 | + const crypto_core_ristretto255_HASHBYTES = 64; |
|
| 9 | + const HASH_SC_L = 48; |
|
| 10 | + const CORE_H2C_SHA256 = 1; |
|
| 11 | + const CORE_H2C_SHA512 = 2; |
|
| 12 | + |
|
| 13 | + /** |
|
| 14 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 15 | + * @param int $b |
|
| 16 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 17 | + */ |
|
| 18 | + public static function fe_cneg(ParagonIE_Sodium_Core_Curve25519_Fe $f, $b) |
|
| 19 | + { |
|
| 20 | + $negf = self::fe_neg($f); |
|
| 21 | + return self::fe_cmov($f, $negf, $b); |
|
| 22 | + } |
|
| 23 | + |
|
| 24 | + /** |
|
| 25 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 26 | + * @return ParagonIE_Sodium_Core_Curve25519_Fe |
|
| 27 | + * @throws SodiumException |
|
| 28 | + */ |
|
| 29 | + public static function fe_abs(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 30 | + { |
|
| 31 | + return self::fe_cneg($f, self::fe_isnegative($f)); |
|
| 32 | + } |
|
| 33 | + |
|
| 34 | + /** |
|
| 35 | + * Returns 0 if this field element results in all NUL bytes. |
|
| 36 | + * |
|
| 37 | + * @internal You should not use this directly from another application |
|
| 38 | + * |
|
| 39 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $f |
|
| 40 | + * @return int |
|
| 41 | + * @throws SodiumException |
|
| 42 | + */ |
|
| 43 | + public static function fe_iszero(ParagonIE_Sodium_Core_Curve25519_Fe $f) |
|
| 44 | + { |
|
| 45 | + static $zero; |
|
| 46 | + if ($zero === null) { |
|
| 47 | + $zero = str_repeat("\x00", 32); |
|
| 48 | + } |
|
| 49 | + /** @var string $zero */ |
|
| 50 | + $str = self::fe_tobytes($f); |
|
| 51 | + |
|
| 52 | + $d = 0; |
|
| 53 | + for ($i = 0; $i < 32; ++$i) { |
|
| 54 | + $d |= self::chrToInt($str[$i]); |
|
| 55 | + } |
|
| 56 | + return (($d - 1) >> 31) & 1; |
|
| 57 | + } |
|
| 58 | + |
|
| 59 | + |
|
| 60 | + /** |
|
| 61 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $u |
|
| 62 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $v |
|
| 63 | + * @return array{x: ParagonIE_Sodium_Core_Curve25519_Fe, nonsquare: int} |
|
| 64 | + * |
|
| 65 | + * @throws SodiumException |
|
| 66 | + */ |
|
| 67 | + public static function ristretto255_sqrt_ratio_m1( |
|
| 68 | + ParagonIE_Sodium_Core_Curve25519_Fe $u, |
|
| 69 | + ParagonIE_Sodium_Core_Curve25519_Fe $v |
|
| 70 | + ) { |
|
| 71 | + $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 72 | + |
|
| 73 | + $v3 = self::fe_mul( |
|
| 74 | + self::fe_sq($v), |
|
| 75 | + $v |
|
| 76 | + ); /* v3 = v^3 */ |
|
| 77 | + $x = self::fe_mul( |
|
| 78 | + self::fe_mul( |
|
| 79 | + self::fe_sq($v3), |
|
| 80 | + $u |
|
| 81 | + ), |
|
| 82 | + $v |
|
| 83 | + ); /* x = uv^7 */ |
|
| 84 | + |
|
| 85 | + $x = self::fe_mul( |
|
| 86 | + self::fe_mul( |
|
| 87 | + self::fe_pow22523($x), /* x = (uv^7)^((q-5)/8) */ |
|
| 88 | + $v3 |
|
| 89 | + ), |
|
| 90 | + $u |
|
| 91 | + ); /* x = uv^3(uv^7)^((q-5)/8) */ |
|
| 92 | + |
|
| 93 | + $vxx = self::fe_mul( |
|
| 94 | + self::fe_sq($x), |
|
| 95 | + $v |
|
| 96 | + ); /* vx^2 */ |
|
| 97 | + |
|
| 98 | + $m_root_check = self::fe_sub($vxx, $u); /* vx^2-u */ |
|
| 99 | + $p_root_check = self::fe_add($vxx, $u); /* vx^2+u */ |
|
| 100 | + $f_root_check = self::fe_mul($u, $sqrtm1); /* u*sqrt(-1) */ |
|
| 101 | + $f_root_check = self::fe_add($vxx, $f_root_check); /* vx^2+u*sqrt(-1) */ |
|
| 102 | + |
|
| 103 | + $has_m_root = self::fe_iszero($m_root_check); |
|
| 104 | + $has_p_root = self::fe_iszero($p_root_check); |
|
| 105 | + $has_f_root = self::fe_iszero($f_root_check); |
|
| 106 | + |
|
| 107 | + $x_sqrtm1 = self::fe_mul($x, $sqrtm1); /* x*sqrt(-1) */ |
|
| 108 | + |
|
| 109 | + $x = self::fe_abs( |
|
| 110 | + self::fe_cmov($x, $x_sqrtm1, $has_p_root | $has_f_root) |
|
| 111 | + ); |
|
| 112 | + return array( |
|
| 113 | + 'x' => $x, |
|
| 114 | + 'nonsquare' => $has_m_root | $has_p_root |
|
| 115 | + ); |
|
| 116 | + } |
|
| 117 | + |
|
| 118 | + /** |
|
| 119 | + * @param string $s |
|
| 120 | + * @return int |
|
| 121 | + * @throws SodiumException |
|
| 122 | + */ |
|
| 123 | + public static function ristretto255_point_is_canonical($s) |
|
| 124 | + { |
|
| 125 | + $c = (self::chrToInt($s[31]) & 0x7f) ^ 0x7f; |
|
| 126 | + for ($i = 30; $i > 0; --$i) { |
|
| 127 | + $c |= self::chrToInt($s[$i]) ^ 0xff; |
|
| 128 | + } |
|
| 129 | + $c = ($c - 1) >> 8; |
|
| 130 | + $d = (0xed - 1 - self::chrToInt($s[0])) >> 8; |
|
| 131 | + $e = self::chrToInt($s[31]) >> 7; |
|
| 132 | + |
|
| 133 | + return 1 - ((($c & $d) | $e | self::chrToInt($s[0])) & 1); |
|
| 134 | + } |
|
| 135 | + |
|
| 136 | + /** |
|
| 137 | + * @param string $s |
|
| 138 | + * @param bool $skipCanonicalCheck |
|
| 139 | + * @return array{h: ParagonIE_Sodium_Core_Curve25519_Ge_P3, res: int} |
|
| 140 | + * @throws SodiumException |
|
| 141 | + */ |
|
| 142 | + public static function ristretto255_frombytes($s, $skipCanonicalCheck = false) |
|
| 143 | + { |
|
| 144 | + if (!$skipCanonicalCheck) { |
|
| 145 | + if (!self::ristretto255_point_is_canonical($s)) { |
|
| 146 | + throw new SodiumException('S is not canonical'); |
|
| 147 | + } |
|
| 148 | + } |
|
| 149 | + |
|
| 150 | + $s_ = self::fe_frombytes($s); |
|
| 151 | + $ss = self::fe_sq($s_); /* ss = s^2 */ |
|
| 152 | + |
|
| 153 | + $u1 = self::fe_sub(self::fe_1(), $ss); /* u1 = 1-ss */ |
|
| 154 | + $u1u1 = self::fe_sq($u1); /* u1u1 = u1^2 */ |
|
| 155 | + |
|
| 156 | + $u2 = self::fe_add(self::fe_1(), $ss); /* u2 = 1+ss */ |
|
| 157 | + $u2u2 = self::fe_sq($u2); /* u2u2 = u2^2 */ |
|
| 158 | + |
|
| 159 | + $v = self::fe_mul( |
|
| 160 | + ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d), |
|
| 161 | + $u1u1 |
|
| 162 | + ); /* v = d*u1^2 */ |
|
| 163 | + $v = self::fe_neg($v); /* v = -d*u1^2 */ |
|
| 164 | + $v = self::fe_sub($v, $u2u2); /* v = -(d*u1^2)-u2^2 */ |
|
| 165 | + $v_u2u2 = self::fe_mul($v, $u2u2); /* v_u2u2 = v*u2^2 */ |
|
| 166 | + |
|
| 167 | + // fe25519_1(one); |
|
| 168 | + // notsquare = ristretto255_sqrt_ratio_m1(inv_sqrt, one, v_u2u2); |
|
| 169 | + $one = self::fe_1(); |
|
| 170 | + $result = self::ristretto255_sqrt_ratio_m1($one, $v_u2u2); |
|
| 171 | + $inv_sqrt = $result['x']; |
|
| 172 | + $notsquare = $result['nonsquare']; |
|
| 173 | + |
|
| 174 | + $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3(); |
|
| 175 | + |
|
| 176 | + $h->X = self::fe_mul($inv_sqrt, $u2); |
|
| 177 | + $h->Y = self::fe_mul(self::fe_mul($inv_sqrt, $h->X), $v); |
|
| 178 | + |
|
| 179 | + $h->X = self::fe_mul($h->X, $s_); |
|
| 180 | + $h->X = self::fe_abs( |
|
| 181 | + self::fe_add($h->X, $h->X) |
|
| 182 | + ); |
|
| 183 | + $h->Y = self::fe_mul($u1, $h->Y); |
|
| 184 | + $h->Z = self::fe_1(); |
|
| 185 | + $h->T = self::fe_mul($h->X, $h->Y); |
|
| 186 | + |
|
| 187 | + $res = - ((1 - $notsquare) | self::fe_isnegative($h->T) | self::fe_iszero($h->Y)); |
|
| 188 | + return array('h' => $h, 'res' => $res); |
|
| 189 | + } |
|
| 190 | + |
|
| 191 | + /** |
|
| 192 | + * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h |
|
| 193 | + * @return string |
|
| 194 | + * @throws SodiumException |
|
| 195 | + */ |
|
| 196 | + public static function ristretto255_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h) |
|
| 197 | + { |
|
| 198 | + $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 199 | + $invsqrtamd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$invsqrtamd); |
|
| 200 | + |
|
| 201 | + $u1 = self::fe_add($h->Z, $h->Y); /* u1 = Z+Y */ |
|
| 202 | + $zmy = self::fe_sub($h->Z, $h->Y); /* zmy = Z-Y */ |
|
| 203 | + $u1 = self::fe_mul($u1, $zmy); /* u1 = (Z+Y)*(Z-Y) */ |
|
| 204 | + $u2 = self::fe_mul($h->X, $h->Y); /* u2 = X*Y */ |
|
| 205 | + |
|
| 206 | + $u1_u2u2 = self::fe_mul(self::fe_sq($u2), $u1); /* u1_u2u2 = u1*u2^2 */ |
|
| 207 | + $one = self::fe_1(); |
|
| 208 | + |
|
| 209 | + // fe25519_1(one); |
|
| 210 | + // (void) ristretto255_sqrt_ratio_m1(inv_sqrt, one, u1_u2u2); |
|
| 211 | + $result = self::ristretto255_sqrt_ratio_m1($one, $u1_u2u2); |
|
| 212 | + $inv_sqrt = $result['x']; |
|
| 213 | + |
|
| 214 | + $den1 = self::fe_mul($inv_sqrt, $u1); /* den1 = inv_sqrt*u1 */ |
|
| 215 | + $den2 = self::fe_mul($inv_sqrt, $u2); /* den2 = inv_sqrt*u2 */ |
|
| 216 | + $z_inv = self::fe_mul($h->T, self::fe_mul($den1, $den2)); /* z_inv = den1*den2*T */ |
|
| 217 | + |
|
| 218 | + $ix = self::fe_mul($h->X, $sqrtm1); /* ix = X*sqrt(-1) */ |
|
| 219 | + $iy = self::fe_mul($h->Y, $sqrtm1); /* iy = Y*sqrt(-1) */ |
|
| 220 | + $eden = self::fe_mul($den1, $invsqrtamd); |
|
| 221 | + |
|
| 222 | + $t_z_inv = self::fe_mul($h->T, $z_inv); /* t_z_inv = T*z_inv */ |
|
| 223 | + $rotate = self::fe_isnegative($t_z_inv); |
|
| 224 | + |
|
| 225 | + $x_ = self::fe_copy($h->X); |
|
| 226 | + $y_ = self::fe_copy($h->Y); |
|
| 227 | + $den_inv = self::fe_copy($den2); |
|
| 228 | + |
|
| 229 | + $x_ = self::fe_cmov($x_, $iy, $rotate); |
|
| 230 | + $y_ = self::fe_cmov($y_, $ix, $rotate); |
|
| 231 | + $den_inv = self::fe_cmov($den_inv, $eden, $rotate); |
|
| 232 | + |
|
| 233 | + $x_z_inv = self::fe_mul($x_, $z_inv); |
|
| 234 | + $y_ = self::fe_cneg($y_, self::fe_isnegative($x_z_inv)); |
|
| 235 | + |
|
| 236 | + |
|
| 237 | + // fe25519_sub(s_, h->Z, y_); |
|
| 238 | + // fe25519_mul(s_, den_inv, s_); |
|
| 239 | + // fe25519_abs(s_, s_); |
|
| 240 | + // fe25519_tobytes(s, s_); |
|
| 241 | + return self::fe_tobytes( |
|
| 242 | + self::fe_abs( |
|
| 243 | + self::fe_mul( |
|
| 244 | + $den_inv, |
|
| 245 | + self::fe_sub($h->Z, $y_) |
|
| 246 | + ) |
|
| 247 | + ) |
|
| 248 | + ); |
|
| 249 | + } |
|
| 250 | + |
|
| 251 | + /** |
|
| 252 | + * @param ParagonIE_Sodium_Core_Curve25519_Fe $t |
|
| 253 | + * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 |
|
| 254 | + * |
|
| 255 | + * @throws SodiumException |
|
| 256 | + */ |
|
| 257 | + public static function ristretto255_elligator(ParagonIE_Sodium_Core_Curve25519_Fe $t) |
|
| 258 | + { |
|
| 259 | + $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); |
|
| 260 | + $onemsqd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$onemsqd); |
|
| 261 | + $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); |
|
| 262 | + $sqdmone = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqdmone); |
|
| 263 | + $sqrtadm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtadm1); |
|
| 264 | + |
|
| 265 | + $one = self::fe_1(); |
|
| 266 | + $r = self::fe_mul($sqrtm1, self::fe_sq($t)); /* r = sqrt(-1)*t^2 */ |
|
| 267 | + $u = self::fe_mul(self::fe_add($r, $one), $onemsqd); /* u = (r+1)*(1-d^2) */ |
|
| 268 | + $c = self::fe_neg(self::fe_1()); /* c = -1 */ |
|
| 269 | + $rpd = self::fe_add($r, $d); /* rpd = r+d */ |
|
| 270 | + |
|
| 271 | + $v = self::fe_mul( |
|
| 272 | + self::fe_sub( |
|
| 273 | + $c, |
|
| 274 | + self::fe_mul($r, $d) |
|
| 275 | + ), |
|
| 276 | + $rpd |
|
| 277 | + ); /* v = (c-r*d)*(r+d) */ |
|
| 278 | + |
|
| 279 | + $result = self::ristretto255_sqrt_ratio_m1($u, $v); |
|
| 280 | + $s = $result['x']; |
|
| 281 | + $wasnt_square = 1 - $result['nonsquare']; |
|
| 282 | + |
|
| 283 | + $s_prime = self::fe_neg( |
|
| 284 | + self::fe_abs( |
|
| 285 | + self::fe_mul($s, $t) |
|
| 286 | + ) |
|
| 287 | + ); /* s_prime = -|s*t| */ |
|
| 288 | + $s = self::fe_cmov($s, $s_prime, $wasnt_square); |
|
| 289 | + $c = self::fe_cmov($c, $r, $wasnt_square); |
|
| 290 | + |
|
| 291 | + // fe25519_sub(n, r, one); /* n = r-1 */ |
|
| 292 | + // fe25519_mul(n, n, c); /* n = c*(r-1) */ |
|
| 293 | + // fe25519_mul(n, n, ed25519_sqdmone); /* n = c*(r-1)*(d-1)^2 */ |
|
| 294 | + // fe25519_sub(n, n, v); /* n = c*(r-1)*(d-1)^2-v */ |
|
| 295 | + $n = self::fe_sub( |
|
| 296 | + self::fe_mul( |
|
| 297 | + self::fe_mul( |
|
| 298 | + self::fe_sub($r, $one), |
|
| 299 | + $c |
|
| 300 | + ), |
|
| 301 | + $sqdmone |
|
| 302 | + ), |
|
| 303 | + $v |
|
| 304 | + ); /* n = c*(r-1)*(d-1)^2-v */ |
|
| 305 | + |
|
| 306 | + $w0 = self::fe_mul( |
|
| 307 | + self::fe_add($s, $s), |
|
| 308 | + $v |
|
| 309 | + ); /* w0 = 2s*v */ |
|
| 310 | + |
|
| 311 | + $w1 = self::fe_mul($n, $sqrtadm1); /* w1 = n*sqrt(ad-1) */ |
|
| 312 | + $ss = self::fe_sq($s); /* ss = s^2 */ |
|
| 313 | + $w2 = self::fe_sub($one, $ss); /* w2 = 1-s^2 */ |
|
| 314 | + $w3 = self::fe_add($one, $ss); /* w3 = 1+s^2 */ |
|
| 315 | + |
|
| 316 | + return new ParagonIE_Sodium_Core_Curve25519_Ge_P3( |
|
| 317 | + self::fe_mul($w0, $w3), |
|
| 318 | + self::fe_mul($w2, $w1), |
|
| 319 | + self::fe_mul($w1, $w3), |
|
| 320 | + self::fe_mul($w0, $w2) |
|
| 321 | + ); |
|
| 322 | + } |
|
| 323 | + |
|
| 324 | + /** |
|
| 325 | + * @param string $h |
|
| 326 | + * @return string |
|
| 327 | + * @throws SodiumException |
|
| 328 | + */ |
|
| 329 | + public static function ristretto255_from_hash($h) |
|
| 330 | + { |
|
| 331 | + if (self::strlen($h) !== 64) { |
|
| 332 | + throw new SodiumException('Hash must be 64 bytes'); |
|
| 333 | + } |
|
| 334 | + //fe25519_frombytes(r0, h); |
|
| 335 | + //fe25519_frombytes(r1, h + 32); |
|
| 336 | + $r0 = self::fe_frombytes(self::substr($h, 0, 32)); |
|
| 337 | + $r1 = self::fe_frombytes(self::substr($h, 32, 32)); |
|
| 338 | + |
|
| 339 | + //ristretto255_elligator(&p0, r0); |
|
| 340 | + //ristretto255_elligator(&p1, r1); |
|
| 341 | + $p0 = self::ristretto255_elligator($r0); |
|
| 342 | + $p1 = self::ristretto255_elligator($r1); |
|
| 343 | + |
|
| 344 | + //ge25519_p3_to_cached(&p1_cached, &p1); |
|
| 345 | + //ge25519_add_cached(&p_p1p1, &p0, &p1_cached); |
|
| 346 | + $p_p1p1 = self::ge_add( |
|
| 347 | + $p0, |
|
| 348 | + self::ge_p3_to_cached($p1) |
|
| 349 | + ); |
|
| 350 | + |
|
| 351 | + //ge25519_p1p1_to_p3(&p, &p_p1p1); |
|
| 352 | + //ristretto255_p3_tobytes(s, &p); |
|
| 353 | + return self::ristretto255_p3_tobytes( |
|
| 354 | + self::ge_p1p1_to_p3($p_p1p1) |
|
| 355 | + ); |
|
| 356 | + } |
|
| 357 | + |
|
| 358 | + /** |
|
| 359 | + * @param string $p |
|
| 360 | + * @return int |
|
| 361 | + * @throws SodiumException |
|
| 362 | + */ |
|
| 363 | + public static function is_valid_point($p) |
|
| 364 | + { |
|
| 365 | + $result = self::ristretto255_frombytes($p); |
|
| 366 | + if ($result['res'] !== 0) { |
|
| 367 | + return 0; |
|
| 368 | + } |
|
| 369 | + return 1; |
|
| 370 | + } |
|
| 371 | + |
|
| 372 | + /** |
|
| 373 | + * @param string $p |
|
| 374 | + * @param string $q |
|
| 375 | + * @return string |
|
| 376 | + * @throws SodiumException |
|
| 377 | + */ |
|
| 378 | + public static function ristretto255_add($p, $q) |
|
| 379 | + { |
|
| 380 | + $p_res = self::ristretto255_frombytes($p); |
|
| 381 | + $q_res = self::ristretto255_frombytes($q); |
|
| 382 | + if ($p_res['res'] !== 0 || $q_res['res'] !== 0) { |
|
| 383 | + throw new SodiumException('Could not add points'); |
|
| 384 | + } |
|
| 385 | + $p_p3 = $p_res['h']; |
|
| 386 | + $q_p3 = $q_res['h']; |
|
| 387 | + $q_cached = self::ge_p3_to_cached($q_p3); |
|
| 388 | + $r_p1p1 = self::ge_add($p_p3, $q_cached); |
|
| 389 | + $r_p3 = self::ge_p1p1_to_p3($r_p1p1); |
|
| 390 | + return self::ristretto255_p3_tobytes($r_p3); |
|
| 391 | + } |
|
| 392 | + |
|
| 393 | + /** |
|
| 394 | + * @param string $p |
|
| 395 | + * @param string $q |
|
| 396 | + * @return string |
|
| 397 | + * @throws SodiumException |
|
| 398 | + */ |
|
| 399 | + public static function ristretto255_sub($p, $q) |
|
| 400 | + { |
|
| 401 | + $p_res = self::ristretto255_frombytes($p); |
|
| 402 | + $q_res = self::ristretto255_frombytes($q); |
|
| 403 | + if ($p_res['res'] !== 0 || $q_res['res'] !== 0) { |
|
| 404 | + throw new SodiumException('Could not add points'); |
|
| 405 | + } |
|
| 406 | + $p_p3 = $p_res['h']; |
|
| 407 | + $q_p3 = $q_res['h']; |
|
| 408 | + $q_cached = self::ge_p3_to_cached($q_p3); |
|
| 409 | + $r_p1p1 = self::ge_sub($p_p3, $q_cached); |
|
| 410 | + $r_p3 = self::ge_p1p1_to_p3($r_p1p1); |
|
| 411 | + return self::ristretto255_p3_tobytes($r_p3); |
|
| 412 | + } |
|
| 413 | + |
|
| 414 | + |
|
| 415 | + /** |
|
| 416 | + * @param int $hLen |
|
| 417 | + * @param ?string $ctx |
|
| 418 | + * @param string $msg |
|
| 419 | + * @return string |
|
| 420 | + * @throws SodiumException |
|
| 421 | + * @psalm-suppress PossiblyInvalidArgument hash API |
|
| 422 | + */ |
|
| 423 | + protected static function h2c_string_to_hash_sha256($hLen, $ctx, $msg) |
|
| 424 | + { |
|
| 425 | + $h = array_fill(0, $hLen, 0); |
|
| 426 | + $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; |
|
| 427 | + if ($hLen > 0xff) { |
|
| 428 | + throw new SodiumException('Hash must be less than 256 bytes'); |
|
| 429 | + } |
|
| 430 | + |
|
| 431 | + if ($ctx_len > 0xff) { |
|
| 432 | + $st = hash_init('sha256'); |
|
| 433 | + self::hash_update($st, "H2C-OVERSIZE-DST-"); |
|
| 434 | + self::hash_update($st, $ctx); |
|
| 435 | + $ctx = hash_final($st, true); |
|
| 436 | + $ctx_len = 32; |
|
| 437 | + } |
|
| 438 | + $t = array(0, $hLen, 0); |
|
| 439 | + $ux = str_repeat("\0", 64); |
|
| 440 | + $st = hash_init('sha256'); |
|
| 441 | + self::hash_update($st, $ux); |
|
| 442 | + self::hash_update($st, $msg); |
|
| 443 | + self::hash_update($st, self::intArrayToString($t)); |
|
| 444 | + self::hash_update($st, $ctx); |
|
| 445 | + self::hash_update($st, self::intToChr($ctx_len)); |
|
| 446 | + $u0 = hash_final($st, true); |
|
| 447 | + |
|
| 448 | + for ($i = 0; $i < $hLen; $i += 64) { |
|
| 449 | + $ux = self::xorStrings($ux, $u0); |
|
| 450 | + ++$t[2]; |
|
| 451 | + $st = hash_init('sha256'); |
|
| 452 | + self::hash_update($st, $ux); |
|
| 453 | + self::hash_update($st, self::intToChr($t[2])); |
|
| 454 | + self::hash_update($st, $ctx); |
|
| 455 | + self::hash_update($st, self::intToChr($ctx_len)); |
|
| 456 | + $ux = hash_final($st, true); |
|
| 457 | + $amount = min($hLen - $i, 64); |
|
| 458 | + for ($j = 0; $j < $amount; ++$j) { |
|
| 459 | + $h[$i + $j] = self::chrToInt($ux[$i]); |
|
| 460 | + } |
|
| 461 | + } |
|
| 462 | + return self::intArrayToString(array_slice($h, 0, $hLen)); |
|
| 463 | + } |
|
| 464 | + |
|
| 465 | + /** |
|
| 466 | + * @param int $hLen |
|
| 467 | + * @param ?string $ctx |
|
| 468 | + * @param string $msg |
|
| 469 | + * @return string |
|
| 470 | + * @throws SodiumException |
|
| 471 | + * @psalm-suppress PossiblyInvalidArgument hash API |
|
| 472 | + */ |
|
| 473 | + protected static function h2c_string_to_hash_sha512($hLen, $ctx, $msg) |
|
| 474 | + { |
|
| 475 | + $h = array_fill(0, $hLen, 0); |
|
| 476 | + $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; |
|
| 477 | + if ($hLen > 0xff) { |
|
| 478 | + throw new SodiumException('Hash must be less than 256 bytes'); |
|
| 479 | + } |
|
| 480 | + |
|
| 481 | + if ($ctx_len > 0xff) { |
|
| 482 | + $st = hash_init('sha256'); |
|
| 483 | + self::hash_update($st, "H2C-OVERSIZE-DST-"); |
|
| 484 | + self::hash_update($st, $ctx); |
|
| 485 | + $ctx = hash_final($st, true); |
|
| 486 | + $ctx_len = 32; |
|
| 487 | + } |
|
| 488 | + $t = array(0, $hLen, 0); |
|
| 489 | + $ux = str_repeat("\0", 128); |
|
| 490 | + $st = hash_init('sha512'); |
|
| 491 | + self::hash_update($st, $ux); |
|
| 492 | + self::hash_update($st, $msg); |
|
| 493 | + self::hash_update($st, self::intArrayToString($t)); |
|
| 494 | + self::hash_update($st, $ctx); |
|
| 495 | + self::hash_update($st, self::intToChr($ctx_len)); |
|
| 496 | + $u0 = hash_final($st, true); |
|
| 497 | + |
|
| 498 | + for ($i = 0; $i < $hLen; $i += 128) { |
|
| 499 | + $ux = self::xorStrings($ux, $u0); |
|
| 500 | + ++$t[2]; |
|
| 501 | + $st = hash_init('sha512'); |
|
| 502 | + self::hash_update($st, $ux); |
|
| 503 | + self::hash_update($st, self::intToChr($t[2])); |
|
| 504 | + self::hash_update($st, $ctx); |
|
| 505 | + self::hash_update($st, self::intToChr($ctx_len)); |
|
| 506 | + $ux = hash_final($st, true); |
|
| 507 | + $amount = min($hLen - $i, 128); |
|
| 508 | + for ($j = 0; $j < $amount; ++$j) { |
|
| 509 | + $h[$i + $j] = self::chrToInt($ux[$i]); |
|
| 510 | + } |
|
| 511 | + } |
|
| 512 | + return self::intArrayToString(array_slice($h, 0, $hLen)); |
|
| 513 | + } |
|
| 514 | + |
|
| 515 | + /** |
|
| 516 | + * @param int $hLen |
|
| 517 | + * @param ?string $ctx |
|
| 518 | + * @param string $msg |
|
| 519 | + * @param int $hash_alg |
|
| 520 | + * @return string |
|
| 521 | + * @throws SodiumException |
|
| 522 | + */ |
|
| 523 | + public static function h2c_string_to_hash($hLen, $ctx, $msg, $hash_alg) |
|
| 524 | + { |
|
| 525 | + switch ($hash_alg) { |
|
| 526 | + case self::CORE_H2C_SHA256: |
|
| 527 | + return self::h2c_string_to_hash_sha256($hLen, $ctx, $msg); |
|
| 528 | + case self::CORE_H2C_SHA512: |
|
| 529 | + return self::h2c_string_to_hash_sha512($hLen, $ctx, $msg); |
|
| 530 | + default: |
|
| 531 | + throw new SodiumException('Invalid H2C hash algorithm'); |
|
| 532 | + } |
|
| 533 | + } |
|
| 534 | + |
|
| 535 | + /** |
|
| 536 | + * @param ?string $ctx |
|
| 537 | + * @param string $msg |
|
| 538 | + * @param int $hash_alg |
|
| 539 | + * @return string |
|
| 540 | + * @throws SodiumException |
|
| 541 | + */ |
|
| 542 | + protected static function _string_to_element($ctx, $msg, $hash_alg) |
|
| 543 | + { |
|
| 544 | + return self::ristretto255_from_hash( |
|
| 545 | + self::h2c_string_to_hash(self::crypto_core_ristretto255_HASHBYTES, $ctx, $msg, $hash_alg) |
|
| 546 | + ); |
|
| 547 | + } |
|
| 548 | + |
|
| 549 | + /** |
|
| 550 | + * @return string |
|
| 551 | + * @throws SodiumException |
|
| 552 | + * @throws Exception |
|
| 553 | + */ |
|
| 554 | + public static function ristretto255_random() |
|
| 555 | + { |
|
| 556 | + return self::ristretto255_from_hash( |
|
| 557 | + ParagonIE_Sodium_Compat::randombytes_buf(self::crypto_core_ristretto255_HASHBYTES) |
|
| 558 | + ); |
|
| 559 | + } |
|
| 560 | + |
|
| 561 | + /** |
|
| 562 | + * @return string |
|
| 563 | + * @throws SodiumException |
|
| 564 | + */ |
|
| 565 | + public static function ristretto255_scalar_random() |
|
| 566 | + { |
|
| 567 | + return self::scalar_random(); |
|
| 568 | + } |
|
| 569 | + |
|
| 570 | + /** |
|
| 571 | + * @param string $s |
|
| 572 | + * @return string |
|
| 573 | + * @throws SodiumException |
|
| 574 | + */ |
|
| 575 | + public static function ristretto255_scalar_complement($s) |
|
| 576 | + { |
|
| 577 | + return self::scalar_complement($s); |
|
| 578 | + } |
|
| 579 | + |
|
| 580 | + |
|
| 581 | + /** |
|
| 582 | + * @param string $s |
|
| 583 | + * @return string |
|
| 584 | + */ |
|
| 585 | + public static function ristretto255_scalar_invert($s) |
|
| 586 | + { |
|
| 587 | + return self::sc25519_invert($s); |
|
| 588 | + } |
|
| 589 | + |
|
| 590 | + /** |
|
| 591 | + * @param string $s |
|
| 592 | + * @return string |
|
| 593 | + * @throws SodiumException |
|
| 594 | + */ |
|
| 595 | + public static function ristretto255_scalar_negate($s) |
|
| 596 | + { |
|
| 597 | + return self::scalar_negate($s); |
|
| 598 | + } |
|
| 599 | + |
|
| 600 | + /** |
|
| 601 | + * @param string $x |
|
| 602 | + * @param string $y |
|
| 603 | + * @return string |
|
| 604 | + */ |
|
| 605 | + public static function ristretto255_scalar_add($x, $y) |
|
| 606 | + { |
|
| 607 | + return self::scalar_add($x, $y); |
|
| 608 | + } |
|
| 609 | + |
|
| 610 | + /** |
|
| 611 | + * @param string $x |
|
| 612 | + * @param string $y |
|
| 613 | + * @return string |
|
| 614 | + */ |
|
| 615 | + public static function ristretto255_scalar_sub($x, $y) |
|
| 616 | + { |
|
| 617 | + return self::scalar_sub($x, $y); |
|
| 618 | + } |
|
| 619 | + |
|
| 620 | + /** |
|
| 621 | + * @param string $x |
|
| 622 | + * @param string $y |
|
| 623 | + * @return string |
|
| 624 | + */ |
|
| 625 | + public static function ristretto255_scalar_mul($x, $y) |
|
| 626 | + { |
|
| 627 | + return self::sc25519_mul($x, $y); |
|
| 628 | + } |
|
| 629 | + |
|
| 630 | + /** |
|
| 631 | + * @param string $ctx |
|
| 632 | + * @param string $msg |
|
| 633 | + * @param int $hash_alg |
|
| 634 | + * @return string |
|
| 635 | + * @throws SodiumException |
|
| 636 | + */ |
|
| 637 | + public static function ristretto255_scalar_from_string($ctx, $msg, $hash_alg) |
|
| 638 | + { |
|
| 639 | + $h = array_fill(0, 64, 0); |
|
| 640 | + $h_be = self::stringToIntArray( |
|
| 641 | + self::h2c_string_to_hash( |
|
| 642 | + self::HASH_SC_L, $ctx, $msg, $hash_alg |
|
| 643 | + ) |
|
| 644 | + ); |
|
| 645 | + |
|
| 646 | + for ($i = 0; $i < self::HASH_SC_L; ++$i) { |
|
| 647 | + $h[$i] = $h_be[self::HASH_SC_L - 1 - $i]; |
|
| 648 | + } |
|
| 649 | + return self::ristretto255_scalar_reduce(self::intArrayToString($h)); |
|
| 650 | + } |
|
| 651 | + |
|
| 652 | + /** |
|
| 653 | + * @param string $s |
|
| 654 | + * @return string |
|
| 655 | + */ |
|
| 656 | + public static function ristretto255_scalar_reduce($s) |
|
| 657 | + { |
|
| 658 | + return self::sc_reduce($s); |
|
| 659 | + } |
|
| 660 | + |
|
| 661 | + /** |
|
| 662 | + * @param string $n |
|
| 663 | + * @param string $p |
|
| 664 | + * @return string |
|
| 665 | + * @throws SodiumException |
|
| 666 | + */ |
|
| 667 | + public static function scalarmult_ristretto255($n, $p) |
|
| 668 | + { |
|
| 669 | + if (self::strlen($n) !== 32) { |
|
| 670 | + throw new SodiumException('Scalar must be 32 bytes, ' . self::strlen($p) . ' given.'); |
|
| 671 | + } |
|
| 672 | + if (self::strlen($p) !== 32) { |
|
| 673 | + throw new SodiumException('Point must be 32 bytes, ' . self::strlen($p) . ' given.'); |
|
| 674 | + } |
|
| 675 | + $result = self::ristretto255_frombytes($p); |
|
| 676 | + if ($result['res'] !== 0) { |
|
| 677 | + throw new SodiumException('Could not multiply points'); |
|
| 678 | + } |
|
| 679 | + $P = $result['h']; |
|
| 680 | + |
|
| 681 | + $t = self::stringToIntArray($n); |
|
| 682 | + $t[31] &= 0x7f; |
|
| 683 | + $Q = self::ge_scalarmult(self::intArrayToString($t), $P); |
|
| 684 | + $q = self::ristretto255_p3_tobytes($Q); |
|
| 685 | + if (ParagonIE_Sodium_Compat::is_zero($q)) { |
|
| 686 | + throw new SodiumException('An unknown error has occurred'); |
|
| 687 | + } |
|
| 688 | + return $q; |
|
| 689 | + } |
|
| 690 | + |
|
| 691 | + /** |
|
| 692 | + * @param string $n |
|
| 693 | + * @return string |
|
| 694 | + * @throws SodiumException |
|
| 695 | + */ |
|
| 696 | + public static function scalarmult_ristretto255_base($n) |
|
| 697 | + { |
|
| 698 | + $t = self::stringToIntArray($n); |
|
| 699 | + $t[31] &= 0x7f; |
|
| 700 | + $Q = self::ge_scalarmult_base(self::intArrayToString($t)); |
|
| 701 | + $q = self::ristretto255_p3_tobytes($Q); |
|
| 702 | + if (ParagonIE_Sodium_Compat::is_zero($q)) { |
|
| 703 | + throw new SodiumException('An unknown error has occurred'); |
|
| 704 | + } |
|
| 705 | + return $q; |
|
| 706 | + } |
|
| 707 | 707 | } |
