diff options
author | Jason A. Donenfeld <Jason@zx2c4.com> | 2020-01-20 18:18:15 +0100 |
---|---|---|
committer | Herbert Xu <herbert@gondor.apana.org.au> | 2020-02-13 16:58:09 +0800 |
commit | 07b586fe06625b0b610dc3d3a969c51913d143d4 (patch) | |
tree | 30615288298d4cb31643af28c1155acaa560b70a /arch/x86/crypto | |
parent | eed74b3eba9eda36d155c11a12b2b4b50c67c1d8 (diff) |
crypto: x86/curve25519 - replace with formally verified implementation
This comes from INRIA's HACL*/Vale. It implements the same algorithm and
implementation strategy as the code it replaces, only this code has been
formally verified, sans the base point multiplication, which uses code
similar to prior, only it uses the formally verified field arithmetic
alongside reproducable ladder generation steps. This doesn't have a
pure-bmi2 version, which means haswell no longer benefits, but the
increased (doubled) code complexity is not worth it for a single
generation of chips that's already old.
Performance-wise, this is around 1% slower on older microarchitectures,
and slightly faster on newer microarchitectures, mainly 10nm ones or
backports of 10nm to 14nm. This implementation is "everest" below:
Xeon E5-2680 v4 (Broadwell)
armfazh: 133340 cycles per call
everest: 133436 cycles per call
Xeon Gold 5120 (Sky Lake Server)
armfazh: 112636 cycles per call
everest: 113906 cycles per call
Core i5-6300U (Sky Lake Client)
armfazh: 116810 cycles per call
everest: 117916 cycles per call
Core i7-7600U (Kaby Lake)
armfazh: 119523 cycles per call
everest: 119040 cycles per call
Core i7-8750H (Coffee Lake)
armfazh: 113914 cycles per call
everest: 113650 cycles per call
Core i9-9880H (Coffee Lake Refresh)
armfazh: 112616 cycles per call
everest: 114082 cycles per call
Core i3-8121U (Cannon Lake)
armfazh: 113202 cycles per call
everest: 111382 cycles per call
Core i7-8265U (Whiskey Lake)
armfazh: 127307 cycles per call
everest: 127697 cycles per call
Core i7-8550U (Kaby Lake Refresh)
armfazh: 127522 cycles per call
everest: 127083 cycles per call
Xeon Platinum 8275CL (Cascade Lake)
armfazh: 114380 cycles per call
everest: 114656 cycles per call
Achieving these kind of results with formally verified code is quite
remarkable, especialy considering that performance is favorable for
newer chips.
Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
Signed-off-by: Herbert Xu <herbert@gondor.apana.org.au>
Diffstat (limited to 'arch/x86/crypto')
-rw-r--r-- | arch/x86/crypto/curve25519-x86_64.c | 3546 |
1 files changed, 1292 insertions, 2254 deletions
diff --git a/arch/x86/crypto/curve25519-x86_64.c b/arch/x86/crypto/curve25519-x86_64.c index eec7d2d24239..e4e58b8e9afe 100644 --- a/arch/x86/crypto/curve25519-x86_64.c +++ b/arch/x86/crypto/curve25519-x86_64.c @@ -1,8 +1,7 @@ -// SPDX-License-Identifier: GPL-2.0 OR BSD-3-Clause +// SPDX-License-Identifier: GPL-2.0 OR MIT /* - * Copyright (c) 2017 Armando Faz <armfazh@ic.unicamp.br>. All Rights Reserved. - * Copyright (C) 2018-2019 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. - * Copyright (C) 2018 Samuel Neves <sneves@dei.uc.pt>. All Rights Reserved. + * Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. + * Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation */ #include <crypto/curve25519.h> @@ -16,2337 +15,1378 @@ #include <asm/cpufeature.h> #include <asm/processor.h> -static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2); -static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_adx); - -enum { NUM_WORDS_ELTFP25519 = 4 }; -typedef __aligned(32) u64 eltfp25519_1w[NUM_WORDS_ELTFP25519]; -typedef __aligned(32) u64 eltfp25519_1w_buffer[2 * NUM_WORDS_ELTFP25519]; - -#define mul_eltfp25519_1w_adx(c, a, b) do { \ - mul_256x256_integer_adx(m.buffer, a, b); \ - red_eltfp25519_1w_adx(c, m.buffer); \ -} while (0) - -#define mul_eltfp25519_1w_bmi2(c, a, b) do { \ - mul_256x256_integer_bmi2(m.buffer, a, b); \ - red_eltfp25519_1w_bmi2(c, m.buffer); \ -} while (0) - -#define sqr_eltfp25519_1w_adx(a) do { \ - sqr_256x256_integer_adx(m.buffer, a); \ - red_eltfp25519_1w_adx(a, m.buffer); \ -} while (0) - -#define sqr_eltfp25519_1w_bmi2(a) do { \ - sqr_256x256_integer_bmi2(m.buffer, a); \ - red_eltfp25519_1w_bmi2(a, m.buffer); \ -} while (0) - -#define mul_eltfp25519_2w_adx(c, a, b) do { \ - mul2_256x256_integer_adx(m.buffer, a, b); \ - red_eltfp25519_2w_adx(c, m.buffer); \ -} while (0) - -#define mul_eltfp25519_2w_bmi2(c, a, b) do { \ - mul2_256x256_integer_bmi2(m.buffer, a, b); \ - red_eltfp25519_2w_bmi2(c, m.buffer); \ -} while (0) - -#define sqr_eltfp25519_2w_adx(a) do { \ - sqr2_256x256_integer_adx(m.buffer, a); \ - red_eltfp25519_2w_adx(a, m.buffer); \ -} while (0) - -#define sqr_eltfp25519_2w_bmi2(a) do { \ - sqr2_256x256_integer_bmi2(m.buffer, a); \ - red_eltfp25519_2w_bmi2(a, m.buffer); \ -} while (0) - -#define sqrn_eltfp25519_1w_adx(a, times) do { \ - int ____counter = (times); \ - while (____counter-- > 0) \ - sqr_eltfp25519_1w_adx(a); \ -} while (0) - -#define sqrn_eltfp25519_1w_bmi2(a, times) do { \ - int ____counter = (times); \ - while (____counter-- > 0) \ - sqr_eltfp25519_1w_bmi2(a); \ -} while (0) - -#define copy_eltfp25519_1w(C, A) do { \ - (C)[0] = (A)[0]; \ - (C)[1] = (A)[1]; \ - (C)[2] = (A)[2]; \ - (C)[3] = (A)[3]; \ -} while (0) - -#define setzero_eltfp25519_1w(C) do { \ - (C)[0] = 0; \ - (C)[1] = 0; \ - (C)[2] = 0; \ - (C)[3] = 0; \ -} while (0) - -__aligned(32) static const u64 table_ladder_8k[252 * NUM_WORDS_ELTFP25519] = { - /* 1 */ 0xfffffffffffffff3UL, 0xffffffffffffffffUL, - 0xffffffffffffffffUL, 0x5fffffffffffffffUL, - /* 2 */ 0x6b8220f416aafe96UL, 0x82ebeb2b4f566a34UL, - 0xd5a9a5b075a5950fUL, 0x5142b2cf4b2488f4UL, - /* 3 */ 0x6aaebc750069680cUL, 0x89cf7820a0f99c41UL, - 0x2a58d9183b56d0f4UL, 0x4b5aca80e36011a4UL, - /* 4 */ 0x329132348c29745dUL, 0xf4a2e616e1642fd7UL, - 0x1e45bb03ff67bc34UL, 0x306912d0f42a9b4aUL, - /* 5 */ 0xff886507e6af7154UL, 0x04f50e13dfeec82fUL, - 0xaa512fe82abab5ceUL, 0x174e251a68d5f222UL, - /* 6 */ 0xcf96700d82028898UL, 0x1743e3370a2c02c5UL, - 0x379eec98b4e86eaaUL, 0x0c59888a51e0482eUL, - /* 7 */ 0xfbcbf1d699b5d189UL, 0xacaef0d58e9fdc84UL, - 0xc1c20d06231f7614UL, 0x2938218da274f972UL, - /* 8 */ 0xf6af49beff1d7f18UL, 0xcc541c22387ac9c2UL, - 0x96fcc9ef4015c56bUL, 0x69c1627c690913a9UL, - /* 9 */ 0x7a86fd2f4733db0eUL, 0xfdb8c4f29e087de9UL, - 0x095e4b1a8ea2a229UL, 0x1ad7a7c829b37a79UL, - /* 10 */ 0x342d89cad17ea0c0UL, 0x67bedda6cced2051UL, - 0x19ca31bf2bb42f74UL, 0x3df7b4c84980acbbUL, - /* 11 */ 0xa8c6444dc80ad883UL, 0xb91e440366e3ab85UL, - 0xc215cda00164f6d8UL, 0x3d867c6ef247e668UL, - /* 12 */ 0xc7dd582bcc3e658cUL, 0xfd2c4748ee0e5528UL, - 0xa0fd9b95cc9f4f71UL, 0x7529d871b0675ddfUL, - /* 13 */ 0xb8f568b42d3cbd78UL, 0x1233011b91f3da82UL, - 0x2dce6ccd4a7c3b62UL, 0x75e7fc8e9e498603UL, - /* 14 */ 0x2f4f13f1fcd0b6ecUL, 0xf1a8ca1f29ff7a45UL, - 0xc249c1a72981e29bUL, 0x6ebe0dbb8c83b56aUL, - /* 15 */ 0x7114fa8d170bb222UL, 0x65a2dcd5bf93935fUL, - 0xbdc41f68b59c979aUL, 0x2f0eef79a2ce9289UL, - /* 16 */ 0x42ecbf0c083c37ceUL, 0x2930bc09ec496322UL, - 0xf294b0c19cfeac0dUL, 0x3780aa4bedfabb80UL, - /* 17 */ 0x56c17d3e7cead929UL, 0xe7cb4beb2e5722c5UL, - 0x0ce931732dbfe15aUL, 0x41b883c7621052f8UL, - /* 18 */ 0xdbf75ca0c3d25350UL, 0x2936be086eb1e351UL, - 0xc936e03cb4a9b212UL, 0x1d45bf82322225aaUL, - /* 19 */ 0xe81ab1036a024cc5UL, 0xe212201c304c9a72UL, - 0xc5d73fba6832b1fcUL, 0x20ffdb5a4d839581UL, - /* 20 */ 0xa283d367be5d0fadUL, 0x6c2b25ca8b164475UL, - 0x9d4935467caaf22eUL, 0x5166408eee85ff49UL, - /* 21 */ 0x3c67baa2fab4e361UL, 0xb3e433c67ef35cefUL, - 0x5259729241159b1cUL, 0x6a621892d5b0ab33UL, - /* 22 */ 0x20b74a387555cdcbUL, 0x532aa10e1208923fUL, - 0xeaa17b7762281dd1UL, 0x61ab3443f05c44bfUL, - /* 23 */ 0x257a6c422324def8UL, 0x131c6c1017e3cf7fUL, - 0x23758739f630a257UL, 0x295a407a01a78580UL, - /* 24 */ 0xf8c443246d5da8d9UL, 0x19d775450c52fa5dUL, - 0x2afcfc92731bf83dUL, 0x7d10c8e81b2b4700UL, - /* 25 */ 0xc8e0271f70baa20bUL, 0x993748867ca63957UL, - 0x5412efb3cb7ed4bbUL, 0x3196d36173e62975UL, - /* 26 */ 0xde5bcad141c7dffcUL, 0x47cc8cd2b395c848UL, - 0xa34cd942e11af3cbUL, 0x0256dbf2d04ecec2UL, - /* 27 */ 0x875ab7e94b0e667fUL, 0xcad4dd83c0850d10UL, - 0x47f12e8f4e72c79fUL, 0x5f1a87bb8c85b19bUL, - /* 28 */ 0x7ae9d0b6437f51b8UL, 0x12c7ce5518879065UL, - 0x2ade09fe5cf77aeeUL, 0x23a05a2f7d2c5627UL, - /* 29 */ 0x5908e128f17c169aUL, 0xf77498dd8ad0852dUL, - 0x74b4c4ceab102f64UL, 0x183abadd10139845UL, - /* 30 */ 0xb165ba8daa92aaacUL, 0xd5c5ef9599386705UL, - 0xbe2f8f0cf8fc40d1UL, 0x2701e635ee204514UL, - /* 31 */ 0x629fa80020156514UL, 0xf223868764a8c1ceUL, - 0x5b894fff0b3f060eUL, 0x60d9944cf708a3faUL, - /* 32 */ 0xaeea001a1c7a201fUL, 0xebf16a633ee2ce63UL, - 0x6f7709594c7a07e1UL, 0x79b958150d0208cbUL, - /* 33 */ 0x24b55e5301d410e7UL, 0xe3a34edff3fdc84dUL, - 0xd88768e4904032d8UL, 0x131384427b3aaeecUL, - /* 34 */ 0x8405e51286234f14UL, 0x14dc4739adb4c529UL, - 0xb8a2b5b250634ffdUL, 0x2fe2a94ad8a7ff93UL, - /* 35 */ 0xec5c57efe843faddUL, 0x2843ce40f0bb9918UL, - 0xa4b561d6cf3d6305UL, 0x743629bde8fb777eUL, - /* 36 */ 0x343edd46bbaf738fUL, 0xed981828b101a651UL, - 0xa401760b882c797aUL, 0x1fc223e28dc88730UL, - /* 37 */ 0x48604e91fc0fba0eUL, 0xb637f78f052c6fa4UL, - 0x91ccac3d09e9239cUL, 0x23f7eed4437a687cUL, - /* 38 */ 0x5173b1118d9bd800UL, 0x29d641b63189d4a7UL, - 0xfdbf177988bbc586UL, 0x2959894fcad81df5UL, - /* 39 */ 0xaebc8ef3b4bbc899UL, 0x4148995ab26992b9UL, - 0x24e20b0134f92cfbUL, 0x40d158894a05dee8UL, - /* 40 */ 0x46b00b1185af76f6UL, 0x26bac77873187a79UL, - 0x3dc0bf95ab8fff5fUL, 0x2a608bd8945524d7UL, - /* 41 */ 0x26449588bd446302UL, 0x7c4bc21c0388439cUL, - 0x8e98a4f383bd11b2UL, 0x26218d7bc9d876b9UL, - /* 42 */ 0xe3081542997c178aUL, 0x3c2d29a86fb6606fUL, - 0x5c217736fa279374UL, 0x7dde05734afeb1faUL, - /* 43 */ 0x3bf10e3906d42babUL, 0xe4f7803e1980649cUL, - 0xe6053bf89595bf7aUL, 0x394faf38da245530UL, - /* 44 */ 0x7a8efb58896928f4UL, 0xfbc778e9cc6a113cUL, - 0x72670ce330af596fUL, 0x48f222a81d3d6cf7UL, - /* 45 */ 0xf01fce410d72caa7UL, 0x5a20ecc7213b5595UL, - 0x7bc21165c1fa1483UL, 0x07f89ae31da8a741UL, - /* 46 */ 0x05d2c2b4c6830ff9UL, 0xd43e330fc6316293UL, - 0xa5a5590a96d3a904UL, 0x705edb91a65333b6UL, - /* 47 */ 0x048ee15e0bb9a5f7UL, 0x3240cfca9e0aaf5dUL, - 0x8f4b71ceedc4a40bUL, 0x621c0da3de544a6dUL, - /* 48 */ 0x92872836a08c4091UL, 0xce8375b010c91445UL, - 0x8a72eb524f276394UL, 0x2667fcfa7ec83635UL, - /* 49 */ 0x7f4c173345e8752aUL, 0x061b47feee7079a5UL, - 0x25dd9afa9f86ff34UL, 0x3780cef5425dc89cUL, - /* 50 */ 0x1a46035a513bb4e9UL, 0x3e1ef379ac575adaUL, - 0xc78c5f1c5fa24b50UL, 0x321a967634fd9f22UL, - /* 51 */ 0x946707b8826e27faUL, 0x3dca84d64c506fd0UL, - 0xc189218075e91436UL, 0x6d9284169b3b8484UL, - /* 52 */ 0x3a67e840383f2ddfUL, 0x33eec9a30c4f9b75UL, - 0x3ec7c86fa783ef47UL, 0x26ec449fbac9fbc4UL, - /* 53 */ 0x5c0f38cba09b9e7dUL, 0x81168cc762a3478cUL, - 0x3e23b0d306fc121cUL, 0x5a238aa0a5efdcddUL, - /* 54 */ 0x1ba26121c4ea43ffUL, 0x36f8c77f7c8832b5UL, - 0x88fbea0b0adcf99aUL, 0x5ca9938ec25bebf9UL, - /* 55 */ 0xd5436a5e51fccda0UL, 0x1dbc4797c2cd893bUL, - 0x19346a65d3224a08UL, 0x0f5034e49b9af466UL, - /* 56 */ 0xf23c3967a1e0b96eUL, 0xe58b08fa867a4d88UL, - 0xfb2fabc6a7341679UL, 0x2a75381eb6026946UL, - /* 57 */ 0xc80a3be4c19420acUL, 0x66b1f6c681f2b6dcUL, - 0x7cf7036761e93388UL, 0x25abbbd8a660a4c4UL, - /* 58 */ 0x91ea12ba14fd5198UL, 0x684950fc4a3cffa9UL, - 0xf826842130f5ad28UL, 0x3ea988f75301a441UL, - /* 59 */ 0xc978109a695f8c6fUL, 0x1746eb4a0530c3f3UL, - 0x444d6d77b4459995UL, 0x75952b8c054e5cc7UL, - /* 60 */ 0xa3703f7915f4d6aaUL, 0x66c346202f2647d8UL, - 0xd01469df811d644bUL, 0x77fea47d81a5d71fUL, - /* 61 */ 0xc5e9529ef57ca381UL, 0x6eeeb4b9ce2f881aUL, - 0xb6e91a28e8009bd6UL, 0x4b80be3e9afc3fecUL, - /* 62 */ 0x7e3773c526aed2c5UL, 0x1b4afcb453c9a49dUL, - 0xa920bdd7baffb24dUL, 0x7c54699f122d400eUL, - /* 63 */ 0xef46c8e14fa94bc8UL, 0xe0b074ce2952ed5eUL, - 0xbea450e1dbd885d5UL, 0x61b68649320f712cUL, - /* 64 */ 0x8a485f7309ccbdd1UL, 0xbd06320d7d4d1a2dUL, - 0x25232973322dbef4UL, 0x445dc4758c17f770UL, - /* 65 */ 0xdb0434177cc8933cUL, 0xed6fe82175ea059fUL, - 0x1efebefdc053db34UL, 0x4adbe867c65daf99UL, - /* 66 */ 0x3acd71a2a90609dfUL, 0xe5e991856dd04050UL, - 0x1ec69b688157c23cUL, 0x697427f6885cfe4dUL, - /* 67 */ 0xd7be7b9b65e1a851UL, 0xa03d28d522c536ddUL, - 0x28399d658fd2b645UL, 0x49e5b7e17c2641e1UL, - /* 68 */ 0x6f8c3a98700457a4UL, 0x5078f0a25ebb6778UL, - 0xd13c3ccbc382960fUL, 0x2e003258a7df84b1UL, - /* 69 */ 0x8ad1f39be6296a1cUL, 0xc1eeaa652a5fbfb2UL, - 0x33ee0673fd26f3cbUL, 0x59256173a69d2cccUL, - /* 70 */ 0x41ea07aa4e18fc41UL, 0xd9fc19527c87a51eUL, - 0xbdaacb805831ca6fUL, 0x445b652dc916694fUL, - /* 71 */ 0xce92a3a7f2172315UL, 0x1edc282de11b9964UL, - 0xa1823aafe04c314aUL, 0x790a2d94437cf586UL, - /* 72 */ 0x71c447fb93f6e009UL, 0x8922a56722845276UL, - 0xbf70903b204f5169UL, 0x2f7a89891ba319feUL, - /* 73 */ 0x02a08eb577e2140cUL, 0xed9a4ed4427bdcf4UL, - 0x5253ec44e4323cd1UL, 0x3e88363c14e9355bUL, - /* 74 */ 0xaa66c14277110b8cUL, 0x1ae0391610a23390UL, - 0x2030bd12c93fc2a2UL, 0x3ee141579555c7abUL, - /* 75 */ 0x9214de3a6d6e7d41UL, 0x3ccdd88607f17efeUL, - 0x674f1288f8e11217UL, 0x5682250f329f93d0UL, - /* 76 */ 0x6cf00b136d2e396eUL, 0x6e4cf86f1014debfUL, - 0x5930b1b5bfcc4e83UL, 0x047069b48aba16b6UL, - /* 77 */ 0x0d4ce4ab69b20793UL, 0xb24db91a97d0fb9eUL, - 0xcdfa50f54e00d01dUL, 0x221b1085368bddb5UL, - /* 78 */ 0xe7e59468b1e3d8d2UL, 0x53c56563bd122f93UL, - 0xeee8a903e0663f09UL, 0x61efa662cbbe3d42UL, - /* 79 */ 0x2cf8ddddde6eab2aUL, 0x9bf80ad51435f231UL, - 0x5deadacec9f04973UL, 0x29275b5d41d29b27UL, - /* 80 */ 0xcfde0f0895ebf14fUL, 0xb9aab96b054905a7UL, - 0xcae80dd9a1c420fdUL, 0x0a63bf2f1673bbc7UL, - /* 81 */ 0x092f6e11958fbc8cUL, 0x672a81e804822fadUL, - 0xcac8351560d52517UL, 0x6f3f7722c8f192f8UL, - /* 82 */ 0xf8ba90ccc2e894b7UL, 0x2c7557a438ff9f0dUL, - 0x894d1d855ae52359UL, 0x68e122157b743d69UL, - /* 83 */ 0xd87e5570cfb919f3UL, 0x3f2cdecd95798db9UL, - 0x2121154710c0a2ceUL, 0x3c66a115246dc5b2UL, - /* 84 */ 0xcbedc562294ecb72UL, 0xba7143c36a280b16UL, - 0x9610c2efd4078b67UL, 0x6144735d946a4b1eUL, - /* 85 */ 0x536f111ed75b3350UL, 0x0211db8c2041d81bUL, - 0xf93cb1000e10413cUL, 0x149dfd3c039e8876UL, - /* 86 */ 0xd479dde46b63155bUL, 0xb66e15e93c837976UL, - 0xdafde43b1f13e038UL, 0x5fafda1a2e4b0b35UL, - /* 87 */ 0x3600bbdf17197581UL, 0x3972050bbe3cd2c2UL, - 0x5938906dbdd5be86UL, 0x34fce5e43f9b860fUL, - /* 88 */ 0x75a8a4cd42d14d02UL, 0x828dabc53441df65UL, - 0x33dcabedd2e131d3UL, 0x3ebad76fb814d25fUL, - /* 89 */ 0xd4906f566f70e10fUL, 0x5d12f7aa51690f5aUL, - 0x45adb16e76cefcf2UL, 0x01f768aead232999UL, - /* 90 */ 0x2b6cc77b6248febdUL, 0x3cd30628ec3aaffdUL, - 0xce1c0b80d4ef486aUL, 0x4c3bff2ea6f66c23UL, - /* 91 */ 0x3f2ec4094aeaeb5fUL, 0x61b19b286e372ca7UL, - 0x5eefa966de2a701dUL, 0x23b20565de55e3efUL, - /* 92 */ 0xe301ca5279d58557UL, 0x07b2d4ce27c2874fUL, - 0xa532cd8a9dcf1d67UL, 0x2a52fee23f2bff56UL, - /* 93 */ 0x8624efb37cd8663dUL, 0xbbc7ac20ffbd7594UL, - 0x57b85e9c82d37445UL, 0x7b3052cb86a6ec66UL, - /* 94 */ 0x3482f0ad2525e91eUL, 0x2cb68043d28edca0UL, - 0xaf4f6d052e1b003aUL, 0x185f8c2529781b0aUL, - /* 95 */ 0xaa41de5bd80ce0d6UL, 0x9407b2416853e9d6UL, - 0x563ec36e357f4c3aUL, 0x4cc4b8dd0e297bceUL, - /* 96 */ 0xa2fc1a52ffb8730eUL, 0x1811f16e67058e37UL, - 0x10f9a366cddf4ee1UL, 0x72f4a0c4a0b9f099UL, - /* 97 */ 0x8c16c06f663f4ea7UL, 0x693b3af74e970fbaUL, - 0x2102e7f1d69ec345UL, 0x0ba53cbc968a8089UL, - /* 98 */ 0xca3d9dc7fea15537UL, 0x4c6824bb51536493UL, - 0xb9886314844006b1UL, 0x40d2a72ab454cc60UL, - /* 99 */ 0x5936a1b712570975UL, 0x91b9d648debda657UL, - 0x3344094bb64330eaUL, 0x006ba10d12ee51d0UL, - /* 100 */ 0x19228468f5de5d58UL, 0x0eb12f4c38cc05b0UL, - 0xa1039f9dd5601990UL, 0x4502d4ce4fff0e0bUL, - /* 101 */ 0xeb2054106837c189UL, 0xd0f6544c6dd3b93cUL, - 0x40727064c416d74fUL, 0x6e15c6114b502ef0UL, - /* 102 */ 0x4df2a398cfb1a76bUL, 0x11256c7419f2f6b1UL, - 0x4a497962066e6043UL, 0x705b3aab41355b44UL, - /* 103 */ 0x365ef536d797b1d8UL, 0x00076bd622ddf0dbUL, - 0x3bbf33b0e0575a88UL, 0x3777aa05c8e4ca4dUL, - /* 104 */ 0x392745c85578db5fUL, 0x6fda4149dbae5ae2UL, - 0xb1f0b00b8adc9867UL, 0x09963437d36f1da3UL, - /* 105 */ 0x7e824e90a5dc3853UL, 0xccb5f6641f135cbdUL, - 0x6736d86c87ce8fccUL, 0x625f3ce26604249fUL, - /* 106 */ 0xaf8ac8059502f63fUL, 0x0c05e70a2e351469UL, - 0x35292e9c764b6305UL, 0x1a394360c7e23ac3UL, - /* 107 */ 0xd5c6d53251183264UL, 0x62065abd43c2b74fUL, - 0xb5fbf5d03b973f9bUL, 0x13a3da3661206e5eUL, - /* 108 */ 0xc6bd5837725d94e5UL, 0x18e30912205016c5UL, - 0x2088ce1570033c68UL, 0x7fba1f495c837987UL, - /* 109 */ 0x5a8c7423f2f9079dUL, 0x1735157b34023fc5UL, - 0xe4f9b49ad2fab351UL, 0x6691ff72c878e33cUL, - /* 110 */ 0x122c2adedc5eff3eUL, 0xf8dd4bf1d8956cf4UL, - 0xeb86205d9e9e5bdaUL, 0x049b92b9d975c743UL, - /* 111 */ 0xa5379730b0f6c05aUL, 0x72a0ffacc6f3a553UL, - 0xb0032c34b20dcd6dUL, 0x470e9dbc88d5164aUL, - /* 112 */ 0xb19cf10ca237c047UL, 0xb65466711f6c81a2UL, - 0xb3321bd16dd80b43UL, 0x48c14f600c5fbe8eUL, - /* 113 */ 0x66451c264aa6c803UL, 0xb66e3904a4fa7da6UL, - 0xd45f19b0b3128395UL, 0x31602627c3c9bc10UL, - /* 114 */ 0x3120dc4832e4e10dUL, 0xeb20c46756c717f7UL, - 0x00f52e3f67280294UL, 0x566d4fc14730c509UL, - /* 115 */ 0x7e3a5d40fd837206UL, 0xc1e926dc7159547aUL, - 0x216730fba68d6095UL, 0x22e8c3843f69cea7UL, - /* 116 */ 0x33d074e8930e4b2bUL, 0xb6e4350e84d15816UL, - 0x5534c26ad6ba2365UL, 0x7773c12f89f1f3f3UL, - /* 117 */ 0x8cba404da57962aaUL, 0x5b9897a81999ce56UL, - 0x508e862f121692fcUL, 0x3a81907fa093c291UL, - /* 118 */ 0x0dded0ff4725a510UL, 0x10d8cc10673fc503UL, - 0x5b9d151c9f1f4e89UL, 0x32a5c1d5cb09a44cUL, - /* 119 */ 0x1e0aa442b90541fbUL, 0x5f85eb7cc1b485dbUL, - 0xbee595ce8a9df2e5UL, 0x25e496c722422236UL, - /* 120 */ 0x5edf3c46cd0fe5b9UL, 0x34e75a7ed2a43388UL, - 0xe488de11d761e352UL, 0x0e878a01a085545cUL, - /* 121 */ 0xba493c77e021bb04UL, 0x2b4d1843c7df899aUL, - 0x9ea37a487ae80d67UL, 0x67a9958011e41794UL, - /* 122 */ 0x4b58051a6697b065UL, 0x47e33f7d8d6ba6d4UL, - 0xbb4da8d483ca46c1UL, 0x68becaa181c2db0dUL, - /* 123 */ 0x8d8980e90b989aa5UL, 0xf95eb14a2c93c99bUL, - 0x51c6c7c4796e73a2UL, 0x6e228363b5efb569UL, - /* 124 */ 0xc6bbc0b02dd624c8UL, 0x777eb47dec8170eeUL, - 0x3cde15a004cfafa9UL, 0x1dc6bc087160bf9bUL, - /* 125 */ 0x2e07e043eec34002UL, 0x18e9fc677a68dc7fUL, - 0xd8da03188bd15b9aUL, 0x48fbc3bb00568253UL, - /* 126 */ 0x57547d4cfb654ce1UL, 0xd3565b82a058e2adUL, - 0xf63eaf0bbf154478UL, 0x47531ef114dfbb18UL, - /* 127 */ 0xe1ec630a4278c587UL, 0x5507d546ca8e83f3UL, - 0x85e135c63adc0c2bUL, 0x0aa7efa85682844eUL, - /* 128 */ 0x72691ba8b3e1f615UL, 0x32b4e9701fbe3ffaUL, - 0x97b6d92e39bb7868UL, 0x2cfe53dea02e39e8UL, - /* 129 */ 0x687392cd85cd52b0UL, 0x27ff66c910e29831UL, - 0x97134556a9832d06UL, 0x269bb0360a84f8a0UL, - /* 130 */ 0x706e55457643f85cUL, 0x3734a48c9b597d1bUL, - 0x7aee91e8c6efa472UL, 0x5cd6abc198a9d9e0UL, - /* 131 */ 0x0e04de06cb3ce41aUL, 0xd8c6eb893402e138UL, - 0x904659bb686e3772UL, 0x7215c371746ba8c8UL, - /* 132 */ 0xfd12a97eeae4a2d9UL, 0x9514b7516394f2c5UL, - 0x266fd5809208f294UL, 0x5c847085619a26b9UL, - /* 133 */ 0x52985410fed694eaUL, 0x3c905b934a2ed254UL, - 0x10bb47692d3be467UL, 0x063b3d2d69e5e9e1UL, - /* 134 */ 0x472726eedda57debUL, 0xefb6c4ae10f41891UL, - 0x2b1641917b307614UL, 0x117c554fc4f45b7cUL, - /* 135 */ 0xc07cf3118f9d8812UL, 0x01dbd82050017939UL, - 0xd7e803f4171b2827UL, 0x1015e87487d225eaUL, - /* 136 */ 0xc58de3fed23acc4dUL, 0x50db91c294a7be2dUL, - 0x0b94d43d1c9cf457UL, 0x6b1640fa6e37524aUL, - /* 137 */ 0x692f346c5fda0d09UL, 0x200b1c59fa4d3151UL, - 0xb8c46f760777a296UL, 0x4b38395f3ffdfbcfUL, - /* 138 */ 0x18d25e00be54d671UL, 0x60d50582bec8aba6UL, - 0x87ad8f263b78b982UL, 0x50fdf64e9cda0432UL, - /* 139 */ 0x90f567aac578dcf0UL, 0xef1e9b0ef2a3133bUL, - 0x0eebba9242d9de71UL, 0x15473c9bf03101c7UL, - /* 140 */ 0x7c77e8ae56b78095UL, 0xb678e7666e6f078eUL, - 0x2da0b9615348ba1fUL, 0x7cf931c1ff733f0bUL, - /* 141 */ 0x26b357f50a0a366cUL, 0xe9708cf42b87d732UL, - 0xc13aeea5f91cb2c0UL, 0x35d90c991143bb4cUL, - /* 142 */ 0x47c1c404a9a0d9dcUL, 0x659e58451972d251UL, - 0x3875a8c473b38c31UL, 0x1fbd9ed379561f24UL, - /* 143 */ 0x11fabc6fd41ec28dUL, 0x7ef8dfe3cd2a2dcaUL, - 0x72e73b5d8c404595UL, 0x6135fa4954b72f27UL, - /* 144 */ 0xccfc32a2de24b69cUL, 0x3f55698c1f095d88UL, - 0xbe3350ed5ac3f929UL, 0x5e9bf806ca477eebUL, - /* 145 */ 0xe9ce8fb63c309f68UL, 0x5376f63565e1f9f4UL, - 0xd1afcfb35a6393f1UL, 0x6632a1ede5623506UL, - /* 146 */ 0x0b7d6c390c2ded4cUL, 0x56cb3281df04cb1fUL, - 0x66305a1249ecc3c7UL, 0x5d588b60a38ca72aUL, - /* 147 */ 0xa6ecbf78e8e5f42dUL, 0x86eeb44b3c8a3eecUL, - 0xec219c48fbd21604UL, 0x1aaf1af517c36731UL, - /* 148 */ 0xc306a2836769bde7UL, 0x208280622b1e2adbUL, - 0x8027f51ffbff94a6UL, 0x76cfa1ce1124f26bUL, - /* 149 */ 0x18eb00562422abb6UL, 0xf377c4d58f8c29c3UL, - 0x4dbbc207f531561aUL, 0x0253b7f082128a27UL, - /* 150 */ 0x3d1f091cb62c17e0UL, 0x4860e1abd64628a9UL, - 0x52d17436309d4253UL, 0x356f97e13efae576UL, - /* 151 */ 0xd351e11aa150535bUL, 0x3e6b45bb1dd878ccUL, - 0x0c776128bed92c98UL, 0x1d34ae93032885b8UL, - /* 152 */ 0x4ba0488ca85ba4c3UL, 0x985348c33c9ce6ceUL, - 0x66124c6f97bda770UL, 0x0f81a0290654124aUL, - /* 153 */ 0x9ed09ca6569b86fdUL, 0x811009fd18af9a2dUL, - 0xff08d03f93d8c20aUL, 0x52a148199faef26bUL, - /* 154 */ 0x3e03f9dc2d8d1b73UL, 0x4205801873961a70UL, - 0xc0d987f041a35970UL, 0x07aa1f15a1c0d549UL, - /* 155 */ 0xdfd46ce08cd27224UL, 0x6d0a024f934e4239UL, - 0x808a7a6399897b59UL, 0x0a4556e9e13d95a2UL, - /* 156 */ 0xd21a991fe9c13045UL, 0x9b0e8548fe7751b8UL, - 0x5da643cb4bf30035UL, 0x77db28d63940f721UL, - /* 157 */ 0xfc5eeb614adc9011UL, 0x5229419ae8c411ebUL, - 0x9ec3e7787d1dcf74UL, 0x340d053e216e4cb5UL, - /* 158 */ 0xcac7af39b48df2b4UL, 0xc0faec2871a10a94UL, - 0x140a69245ca575edUL, 0x0cf1c37134273a4cUL, - /* 159 */ 0xc8ee306ac224b8a5UL, 0x57eaee7ccb4930b0UL, - 0xa1e806bdaacbe74fUL, 0x7d9a62742eeb657dUL, - /* 160 */ 0x9eb6b6ef546c4830UL, 0x885cca1fddb36e2eUL, - 0xe6b9f383ef0d7105UL, 0x58654fef9d2e0412UL, - /* 161 */ 0xa905c4ffbe0e8e26UL, 0x942de5df9b31816eUL, - 0x497d723f802e88e1UL, 0x30684dea602f408dUL, - /* 162 */ 0x21e5a278a3e6cb34UL, 0xaefb6e6f5b151dc4UL, - 0xb30b8e049d77ca15UL, 0x28c3c9cf53b98981UL, - /* 163 */ 0x287fb721556cdd2aUL, 0x0d317ca897022274UL, - 0x7468c7423a543258UL, 0x4a7f11464eb5642fUL, - /* 164 */ 0xa237a4774d193aa6UL, 0xd865986ea92129a1UL, - 0x24c515ecf87c1a88UL, 0x604003575f39f5ebUL, - /* 165 */ 0x47b9f189570a9b27UL, 0x2b98cede465e4b78UL, - 0x026df551dbb85c20UL, 0x74fcd91047e21901UL, - /* 166 */ 0x13e2a90a23c1bfa3UL, 0x0cb0074e478519f6UL, - 0x5ff1cbbe3af6cf44UL, 0x67fe5438be812dbeUL, - /* 167 */ 0xd13cf64fa40f05b0UL, 0x054dfb2f32283787UL, - 0x4173915b7f0d2aeaUL, 0x482f144f1f610d4eUL, - /* 168 */ 0xf6210201b47f8234UL, 0x5d0ae1929e70b990UL, - 0xdcd7f455b049567cUL, 0x7e93d0f1f0916f01UL, - /* 169 */ 0xdd79cbf18a7db4faUL, 0xbe8391bf6f74c62fUL, - 0x027145d14b8291bdUL, 0x585a73ea2cbf1705UL, - /* 170 */ 0x485ca03e928a0db2UL, 0x10fc01a5742857e7UL, - 0x2f482edbd6d551a7UL, 0x0f0433b5048fdb8aUL, - /* 171 */ 0x60da2e8dd7dc6247UL, 0x88b4c9d38cd4819aUL, - 0x13033ac001f66697UL, 0x273b24fe3b367d75UL, - /* 172 */ 0xc6e8f66a31b3b9d4UL, 0x281514a494df49d5UL, - 0xd1726fdfc8b23da7UL, 0x4b3ae7d103dee548UL, - /* 173 */ 0xc6256e19ce4b9d7eUL, 0xff5c5cf186e3c61cUL, - 0xacc63ca34b8ec145UL, 0x74621888fee66574UL, - /* 174 */ 0x956f409645290a1eUL, 0xef0bf8e3263a962eUL, - 0xed6a50eb5ec2647bUL, 0x0694283a9dca7502UL, - /* 175 */ 0x769b963643a2dcd1UL, 0x42b7c8ea09fc5353UL, - 0x4f002aee13397eabUL, 0x63005e2c19b7d63aUL, - /* 176 */ 0xca6736da63023beaUL, 0x966c7f6db12a99b7UL, - 0xace09390c537c5e1UL, 0x0b696063a1aa89eeUL, - /* 177 */ 0xebb03e97288c56e5UL, 0x432a9f9f938c8be8UL, - 0xa6a5a93d5b717f71UL, 0x1a5fb4c3e18f9d97UL, - /* 178 */ 0x1c94e7ad1c60cdceUL, 0xee202a43fc02c4a0UL, - 0x8dafe4d867c46a20UL, 0x0a10263c8ac27b58UL, - /* 179 */ 0xd0dea9dfe4432a4aUL, 0x856af87bbe9277c5UL, - 0xce8472acc212c71aUL, 0x6f151b6d9bbb1e91UL, - /* 180 */ 0x26776c527ceed56aUL, 0x7d211cb7fbf8faecUL, - 0x37ae66a6fd4609ccUL, 0x1f81b702d2770c42UL, - /* 181 */ 0x2fb0b057eac58392UL, 0xe1dd89fe29744e9dUL, - 0xc964f8eb17beb4f8UL, 0x29571073c9a2d41eUL, - /* 182 */ 0xa948a18981c0e254UL, 0x2df6369b65b22830UL, - 0xa33eb2d75fcfd3c6UL, 0x078cd6ec4199a01fUL, - /* 183 */ 0x4a584a41ad900d2fUL, 0x32142b78e2c74c52UL, - 0x68c4e8338431c978UL, 0x7f69ea9008689fc2UL, - /* 184 */ 0x52f2c81e46a38265UL, 0xfd78072d04a832fdUL, - 0x8cd7d5fa25359e94UL, 0x4de71b7454cc29d2UL, - /* 185 */ 0x42eb60ad1eda6ac9UL, 0x0aad37dfdbc09c3aUL, - 0x81004b71e33cc191UL, 0x44e6be345122803cUL, - /* 186 */ 0x03fe8388ba1920dbUL, 0xf5d57c32150db008UL, - 0x49c8c4281af60c29UL, 0x21edb518de701aeeUL, - /* 187 */ 0x7fb63e418f06dc99UL, 0xa4460d99c166d7b8UL, - 0x24dd5248ce520a83UL, 0x5ec3ad712b928358UL, - /* 188 */ 0x15022a5fbd17930fUL, 0xa4f64a77d82570e3UL, - 0x12bc8d6915783712UL, 0x498194c0fc620abbUL, - /* 189 */ 0x38a2d9d255686c82UL, 0x785c6bd9193e21f0UL, - 0xe4d5c81ab24a5484UL, 0x56307860b2e20989UL, - /* 190 */ 0x429d55f78b4d74c4UL, 0x22f1834643350131UL, - 0x1e60c24598c71fffUL, 0x59f2f014979983efUL, - /* 191 */ 0x46a47d56eb494a44UL, 0x3e22a854d636a18eUL, - 0xb346e15274491c3bUL, 0x2ceafd4e5390cde7UL, - /* 192 */ 0xba8a8538be0d6675UL, 0x4b9074bb50818e23UL, - 0xcbdab89085d304c3UL, 0x61a24fe0e56192c4UL, - /* 193 */ 0xcb7615e6db525bcbUL, 0xdd7d8c35a567e4caUL, - 0xe6b4153acafcdd69UL, 0x2d668e097f3c9766UL, - /* 194 */ 0xa57e7e265ce55ef0UL, 0x5d9f4e527cd4b967UL, - 0xfbc83606492fd1e5UL, 0x090d52beb7c3f7aeUL, - /* 195 */ 0x09b9515a1e7b4d7cUL, 0x1f266a2599da44c0UL, - 0xa1c49548e2c55504UL, 0x7ef04287126f15ccUL, - /* 196 */ 0xfed1659dbd30ef15UL, 0x8b4ab9eec4e0277bUL, - 0x884d6236a5df3291UL, 0x1fd96ea6bf5cf788UL, - /* 197 */ 0x42a161981f190d9aUL, 0x61d849507e6052c1UL, - 0x9fe113bf285a2cd5UL, 0x7c22d676dbad85d8UL, - /* 198 */ 0x82e770ed2bfbd27dUL, 0x4c05b2ece996f5a5UL, - 0xcd40a9c2b0900150UL, 0x5895319213d9bf64UL, - /* 199 */ 0xe7cc5d703fea2e08UL, 0xb50c491258e2188cUL, - 0xcce30baa48205bf0UL, 0x537c659ccfa32d62UL, - /* 200 */ 0x37b6623a98cfc088UL, 0xfe9bed1fa4d6aca4UL, - 0x04d29b8e56a8d1b0UL, 0x725f71c40b519575UL, - /* 201 */ 0x28c7f89cd0339ce6UL, 0x8367b14469ddc18bUL, - 0x883ada83a6a1652cUL, 0x585f1974034d6c17UL, - /* 202 */ 0x89cfb266f1b19188UL, 0xe63b4863e7c35217UL, - 0xd88c9da6b4c0526aUL, 0x3e035c9df0954635UL, - /* 203 */ 0xdd9d5412fb45de9dUL, 0xdd684532e4cff40dUL, - 0x4b5c999b151d671cUL, 0x2d8c2cc811e7f690UL, - /* 204 */ 0x7f54be1d90055d40UL, 0xa464c5df464aaf40UL, - 0x33979624f0e917beUL, 0x2c018dc527356b30UL, - /* 205 */ 0xa5415024e330b3d4UL, 0x73ff3d96691652d3UL, - 0x94ec42c4ef9b59f1UL, 0x0747201618d08e5aUL, - /* 206 */ 0x4d6ca48aca411c53UL, 0x66415f2fcfa66119UL, - 0x9c4dd40051e227ffUL, 0x59810bc09a02f7ebUL, - /* 207 */ 0x2a7eb171b3dc101dUL, 0x441c5ab99ffef68eUL, - 0x32025c9b93b359eaUL, 0x5e8ce0a71e9d112fUL, - /* 208 */ 0xbfcccb92429503fdUL, 0xd271ba752f095d55UL, - 0x345ead5e972d091eUL, 0x18c8df11a83103baUL, - /* 209 */ 0x90cd949a9aed0f4cUL, 0xc5d1f4cb6660e37eUL, - 0xb8cac52d56c52e0bUL, 0x6e42e400c5808e0dUL, - /* 210 */ 0xa3b46966eeaefd23UL, 0x0c4f1f0be39ecdcaUL, - 0x189dc8c9d683a51dUL, 0x51f27f054c09351bUL, - /* 211 */ 0x4c487ccd2a320682UL, 0x587ea95bb3df1c96UL, - 0xc8ccf79e555cb8e8UL, 0x547dc829a206d73dUL, - /* 212 */ 0xb822a6cd80c39b06UL, 0xe96d54732000d4c6UL, - 0x28535b6f91463b4dUL, 0x228f4660e2486e1dUL, - /* 213 */ 0x98799538de8d3abfUL, 0x8cd8330045ebca6eUL, - 0x79952a008221e738UL, 0x4322e1a7535cd2bbUL, - /* 214 */ 0xb114c11819d1801cUL, 0x2016e4d84f3f5ec7UL, - 0xdd0e2df409260f4cUL, 0x5ec362c0ae5f7266UL, - /* 215 */ 0xc0462b18b8b2b4eeUL, 0x7cc8d950274d1afbUL, - 0xf25f7105436b02d2UL, 0x43bbf8dcbff9ccd3UL, - /* 216 */ 0xb6ad1767a039e9dfUL, 0xb0714da8f69d3583UL, - 0x5e55fa18b42931f5UL, 0x4ed5558f33c60961UL, - /* 217 */ 0x1fe37901c647a5ddUL, 0x593ddf1f8081d357UL, - 0x0249a4fd813fd7a6UL, 0x69acca274e9caf61UL, - /* 218 */ 0x047ba3ea330721c9UL, 0x83423fc20e7e1ea0UL, - 0x1df4c0af01314a60UL, 0x09a62dab89289527UL, - /* 219 */ 0xa5b325a49cc6cb00UL, 0xe94b5dc654b56cb6UL, - 0x3be28779adc994a0UL, 0x4296e8f8ba3a4aadUL, - /* 220 */ 0x328689761e451eabUL, 0x2e4d598bff59594aUL, - 0x49b96853d7a7084aUL, 0x4980a319601420a8UL, - /* 221 */ 0x9565b9e12f552c42UL, 0x8a5318db7100fe96UL, - 0x05c90b4d43add0d7UL, 0x538b4cd66a5d4edaUL, - /* 222 */ 0xf4e94fc3e89f039fUL, 0x592c9af26f618045UL, - 0x08a36eb5fd4b9550UL, 0x25fffaf6c2ed1419UL, - /* 223 */ 0x34434459cc79d354UL, 0xeeecbfb4b1d5476bUL, - 0xddeb34a061615d99UL, 0x5129cecceb64b773UL, - /* 224 */ 0xee43215894993520UL, 0x772f9c7cf14c0b3bUL, - 0xd2e2fce306bedad5UL, 0x715f42b546f06a97UL, - /* 225 */ 0x434ecdceda5b5f1aUL, 0x0da17115a49741a9UL, - 0x680bd77c73edad2eUL, 0x487c02354edd9041UL, - /* 226 */ 0xb8efeff3a70ed9c4UL, 0x56a32aa3e857e302UL, - 0xdf3a68bd48a2a5a0UL, 0x07f650b73176c444UL, - /* 227 */ 0xe38b9b1626e0ccb1UL, 0x79e053c18b09fb36UL, - 0x56d90319c9f94964UL, 0x1ca941e7ac9ff5c4UL, - /* 228 */ 0x49c4df29162fa0bbUL, 0x8488cf3282b33305UL, - 0x95dfda14cabb437dUL, 0x3391f78264d5ad86UL, - /* 229 */ 0x729ae06ae2b5095dUL, 0xd58a58d73259a946UL, - 0xe9834262d13921edUL, 0x27fedafaa54bb592UL, - /* 230 */ 0xa99dc5b829ad48bbUL, 0x5f025742499ee260UL, - 0x802c8ecd5d7513fdUL, 0x78ceb3ef3f6dd938UL, - /* 231 */ 0xc342f44f8a135d94UL, 0x7b9edb44828cdda3UL, - 0x9436d11a0537cfe7UL, 0x5064b164ec1ab4c8UL, - /* 232 */ 0x7020eccfd37eb2fcUL, 0x1f31ea3ed90d25fcUL, - 0x1b930d7bdfa1bb34UL, 0x5344467a48113044UL, - /* 233 */ 0x70073170f25e6dfbUL, 0xe385dc1a50114cc8UL, - 0x2348698ac8fc4f00UL, 0x2a77a55284dd40d8UL, - /* 234 */ 0xfe06afe0c98c6ce4UL, 0xc235df96dddfd6e4UL, - 0x1428d01e33bf1ed3UL, 0x785768ec9300bdafUL, - /* 235 */ 0x9702e57a91deb63bUL, 0x61bdb8bfe5ce8b80UL, - 0x645b426f3d1d58acUL, 0x4804a82227a557bcUL, - /* 236 */ 0x8e57048ab44d2601UL, 0x68d6501a4b3a6935UL, - 0xc39c9ec3f9e1c293UL, 0x4172f257d4de63e2UL, - /* 237 */ 0xd368b450330c6401UL, 0x040d3017418f2391UL, - 0x2c34bb6090b7d90dUL, 0x16f649228fdfd51fUL, - /* 238 */ 0xbea6818e2b928ef5UL, 0xe28ccf91cdc11e72UL, - 0x594aaa68e77a36cdUL, 0x313034806c7ffd0fUL, - /* 239 */ 0x8a9d27ac2249bd65UL, 0x19a3b464018e9512UL, - 0xc26ccff352b37ec7UL, 0x056f68341d797b21UL, - /* 240 */ 0x5e79d6757efd2327UL, 0xfabdbcb6553afe15UL, - 0xd3e7222c6eaf5a60UL, 0x7046c76d4dae743bUL, - /* 241 */ 0x660be872b18d4a55UL, 0x19992518574e1496UL, - 0xc103053a302bdcbbUL, 0x3ed8e9800b218e8eUL, - /* 242 */ 0x7b0b9239fa75e03eUL, 0xefe9fb684633c083UL, - 0x98a35fbe391a7793UL, 0x6065510fe2d0fe34UL, - /* 243 */ 0x55cb668548abad0cUL, 0xb4584548da87e527UL, - 0x2c43ecea0107c1ddUL, 0x526028809372de35UL, - /* 244 */ 0x3415c56af9213b1fUL, 0x5bee1a4d017e98dbUL, - 0x13f6b105b5cf709bUL, 0x5ff20e3482b29ab6UL, - /* 245 */ 0x0aa29c75cc2e6c90UL, 0xfc7d73ca3a70e206UL, - 0x899fc38fc4b5c515UL, 0x250386b124ffc207UL, - /* 246 */ 0x54ea28d5ae3d2b56UL, 0x9913149dd6de60ceUL, - 0x16694fc58f06d6c1UL, 0x46b23975eb018fc7UL, - /* 247 */ 0x470a6a0fb4b7b4e2UL, 0x5d92475a8f7253deUL, - 0xabeee5b52fbd3adbUL, 0x7fa20801a0806968UL, - /* 248 */ 0x76f3faf19f7714d2UL, 0xb3e840c12f4660c3UL, - 0x0fb4cd8df212744eUL, 0x4b065a251d3a2dd2UL, - /* 249 */ 0x5cebde383d77cd4aUL, 0x6adf39df882c9cb1UL, - 0xa2dd242eb09af759UL, 0x3147c0e50e5f6422UL, - /* 250 */ 0x164ca5101d1350dbUL, 0xf8d13479c33fc962UL, - 0xe640ce4d13e5da08UL, 0x4bdee0c45061f8baUL, - /* 251 */ 0xd7c46dc1a4edb1c9UL, 0x5514d7b6437fd98aUL, - 0x58942f6bb2a1c00bUL, 0x2dffb2ab1d70710eUL, - /* 252 */ 0xccdfcf2fc18b6d68UL, 0xa8ebcba8b7806167UL, - 0x980697f95e2937e3UL, 0x02fbba1cd0126e8cUL -}; - -/* c is two 512-bit products: c0[0:7]=a0[0:3]*b0[0:3] and c1[8:15]=a1[4:7]*b1[4:7] - * a is two 256-bit integers: a0[0:3] and a1[4:7] - * b is two 256-bit integers: b0[0:3] and b1[4:7] - */ -static void mul2_256x256_integer_adx(u64 *const c, const u64 *const a, - const u64 *const b) -{ - asm volatile( - "xorl %%r14d, %%r14d ;" - "movq (%1), %%rdx; " /* A[0] */ - "mulx (%2), %%r8, %%r15; " /* A[0]*B[0] */ - "xorl %%r10d, %%r10d ;" - "movq %%r8, (%0) ;" - "mulx 8(%2), %%r10, %%rax; " /* A[0]*B[1] */ - "adox %%r10, %%r15 ;" - "mulx 16(%2), %%r8, %%rbx; " /* A[0]*B[2] */ - "adox %%r8, %%rax ;" - "mulx 24(%2), %%r10, %%rcx; " /* A[0]*B[3] */ - "adox %%r10, %%rbx ;" - /******************************************/ - "adox %%r14, %%rcx ;" - - "movq 8(%1), %%rdx; " /* A[1] */ - "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ - "adox %%r15, %%r8 ;" - "movq %%r8, 8(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rax ;" - "mulx 16(%2), %%r8, %%r13; " /* A[1]*B[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%rbx ;" - "mulx 24(%2), %%r10, %%r15; " /* A[1]*B[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%rcx ;" - /******************************************/ - "adox %%r14, %%r15 ;" - "adcx %%r14, %%r15 ;" - - "movq 16(%1), %%rdx; " /* A[2] */ - "xorl %%r10d, %%r10d ;" - "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ - "adox %%rax, %%r8 ;" - "movq %%r8, 16(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rbx ;" - "mulx 16(%2), %%r8, %%r13; " /* A[2]*B[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%rcx ;" - "mulx 24(%2), %%r10, %%rax; " /* A[2]*B[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%r15 ;" - /******************************************/ - "adox %%r14, %%rax ;" - "adcx %%r14, %%rax ;" - - "movq 24(%1), %%rdx; " /* A[3] */ - "xorl %%r10d, %%r10d ;" - "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ - "adox %%rbx, %%r8 ;" - "movq %%r8, 24(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rcx ;" - "movq %%rcx, 32(%0) ;" - "mulx 16(%2), %%r8, %%r13; " /* A[3]*B[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%r15 ;" - "movq %%r15, 40(%0) ;" - "mulx 24(%2), %%r10, %%rbx; " /* A[3]*B[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%rax ;" - "movq %%rax, 48(%0) ;" - /******************************************/ - "adox %%r14, %%rbx ;" - "adcx %%r14, %%rbx ;" - "movq %%rbx, 56(%0) ;" - - "movq 32(%1), %%rdx; " /* C[0] */ - "mulx 32(%2), %%r8, %%r15; " /* C[0]*D[0] */ - "xorl %%r10d, %%r10d ;" - "movq %%r8, 64(%0);" - "mulx 40(%2), %%r10, %%rax; " /* C[0]*D[1] */ - "adox %%r10, %%r15 ;" - "mulx 48(%2), %%r8, %%rbx; " /* C[0]*D[2] */ - "adox %%r8, %%rax ;" - "mulx 56(%2), %%r10, %%rcx; " /* C[0]*D[3] */ - "adox %%r10, %%rbx ;" - /******************************************/ - "adox %%r14, %%rcx ;" - - "movq 40(%1), %%rdx; " /* C[1] */ - "xorl %%r10d, %%r10d ;" - "mulx 32(%2), %%r8, %%r9; " /* C[1]*D[0] */ - "adox %%r15, %%r8 ;" - "movq %%r8, 72(%0);" - "mulx 40(%2), %%r10, %%r11; " /* C[1]*D[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rax ;" - "mulx 48(%2), %%r8, %%r13; " /* C[1]*D[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%rbx ;" - "mulx 56(%2), %%r10, %%r15; " /* C[1]*D[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%rcx ;" - /******************************************/ - "adox %%r14, %%r15 ;" - "adcx %%r14, %%r15 ;" - - "movq 48(%1), %%rdx; " /* C[2] */ - "xorl %%r10d, %%r10d ;" - "mulx 32(%2), %%r8, %%r9; " /* C[2]*D[0] */ - "adox %%rax, %%r8 ;" - "movq %%r8, 80(%0);" - "mulx 40(%2), %%r10, %%r11; " /* C[2]*D[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rbx ;" - "mulx 48(%2), %%r8, %%r13; " /* C[2]*D[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%rcx ;" - "mulx 56(%2), %%r10, %%rax; " /* C[2]*D[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%r15 ;" - /******************************************/ - "adox %%r14, %%rax ;" - "adcx %%r14, %%rax ;" - - "movq 56(%1), %%rdx; " /* C[3] */ - "xorl %%r10d, %%r10d ;" - "mulx 32(%2), %%r8, %%r9; " /* C[3]*D[0] */ - "adox %%rbx, %%r8 ;" - "movq %%r8, 88(%0);" - "mulx 40(%2), %%r10, %%r11; " /* C[3]*D[1] */ - "adox %%r10, %%r9 ;" - "adcx %%r9, %%rcx ;" - "movq %%rcx, 96(%0) ;" - "mulx 48(%2), %%r8, %%r13; " /* C[3]*D[2] */ - "adox %%r8, %%r11 ;" - "adcx %%r11, %%r15 ;" - "movq %%r15, 104(%0) ;" - "mulx 56(%2), %%r10, %%rbx; " /* C[3]*D[3] */ - "adox %%r10, %%r13 ;" - "adcx %%r13, %%rax ;" - "movq %%rax, 112(%0) ;" - /******************************************/ - "adox %%r14, %%rbx ;" - "adcx %%r14, %%rbx ;" - "movq %%rbx, 120(%0) ;" - : - : "r"(c), "r"(a), "r"(b) - : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", - "%r10", "%r11", "%r13", "%r14", "%r15"); -} - -static void mul2_256x256_integer_bmi2(u64 *const c, const u64 *const a, - const u64 *const b) +static __always_inline u64 eq_mask(u64 a, u64 b) { - asm volatile( - "movq (%1), %%rdx; " /* A[0] */ - "mulx (%2), %%r8, %%r15; " /* A[0]*B[0] */ - "movq %%r8, (%0) ;" - "mulx 8(%2), %%r10, %%rax; " /* A[0]*B[1] */ - "addq %%r10, %%r15 ;" - "mulx 16(%2), %%r8, %%rbx; " /* A[0]*B[2] */ - "adcq %%r8, %%rax ;" - "mulx 24(%2), %%r10, %%rcx; " /* A[0]*B[3] */ - "adcq %%r10, %%rbx ;" - /******************************************/ - "adcq $0, %%rcx ;" - - "movq 8(%1), %%rdx; " /* A[1] */ - "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ - "addq %%r15, %%r8 ;" - "movq %%r8, 8(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ - "adcq %%r10, %%r9 ;" - "mulx 16(%2), %%r8, %%r13; " /* A[1]*B[2] */ - "adcq %%r8, %%r11 ;" - "mulx 24(%2), %%r10, %%r15; " /* A[1]*B[3] */ - "adcq %%r10, %%r13 ;" - /******************************************/ - "adcq $0, %%r15 ;" - - "addq %%r9, %%rax ;" - "adcq %%r11, %%rbx ;" - "adcq %%r13, %%rcx ;" - "adcq $0, %%r15 ;" - - "movq 16(%1), %%rdx; " /* A[2] */ - "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ - "addq %%rax, %%r8 ;" - "movq %%r8, 16(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ - "adcq %%r10, %%r9 ;" - "mulx 16(%2), %%r8, %%r13; " /* A[2]*B[2] */ - "adcq %%r8, %%r11 ;" - "mulx 24(%2), %%r10, %%rax; " /* A[2]*B[3] */ - "adcq %%r10, %%r13 ;" - /******************************************/ - "adcq $0, %%rax ;" - - "addq %%r9, %%rbx ;" - "adcq %%r11, %%rcx ;" - "adcq %%r13, %%r15 ;" - "adcq $0, %%rax ;" - - "movq 24(%1), %%rdx; " /* A[3] */ - "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ - "addq %%rbx, %%r8 ;" - "movq %%r8, 24(%0) ;" - "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ - "adcq %%r10, %%r9 ;" - "mulx 16(%2), %%r8, %%r13; " /* A[3]*B[2] */ - "adcq %%r8, %%r11 ;" - "mulx 24(%2), %%r10, %%rbx; " /* A[3]*B[3] */ - "adcq %%r10, %%r13 ;" - /******************************************/ - "adcq $0, %%rbx ;" - - "addq %%r9, %%rcx ;" - "movq %%rcx, 32(%0) ;" - "adcq %%r11, %%r15 ;" - "movq %%r15, 40(%0) ;" - "adcq %%r13, %%rax ;" - "movq %%rax, 48(%0) ;" - "adcq $0, %%rbx ;" - "movq %%rbx, 56(%0) ;" - - "movq 32(%1), %%rdx; " /* C[0] */ - "mulx 32(%2), %%r8, %%r15; " /* C[0]*D[0] */ - "movq %%r8, 64(%0) ;" - "mulx 40(%2), %%r10, %%rax; " /* C[0]*D[1] */ - "addq %%r10, %%r15 ;" - "mulx 48(%2), %%r8, %%rbx; " /* C[0]*D[2] */ - "adcq %%r8, %%rax ;" - "mulx 56(%2), %%r10, %%rcx; " /* C[0]*D[3] */ - "adcq %%r10, %%rbx ;" - /******************************************/ - "adcq $0, %%rcx ;" - - "movq 40(%1), %%rdx; " /* C[1] */ - "mulx 32(%2), %%r8, %%r9; " /* C[1]*D[0] */ - "addq %%r15, %%r8 ;" - "movq %%r8, 72(%0) ;" - "mulx 40(%2), %%r10, %%r11; " /* C[1]*D[1] */ - "adcq %%r10, %%r9 ;" - "mulx 48(%2), %%r8, %%r13; " /* C[1]*D[2] */ - "adcq %%r8, %%r11 ;" - "mulx 56(%2), %%r10, %%r15; " /* C[1]*D[3] */ - "adcq %%r10, %%r13 ;" - /******************************************/ - "adcq $0, %%r15 ;" - - "addq %%r9, %%rax ;" - "adcq %%r11, %%rbx ;" - "adcq %%r13, %%rcx ;" - "adcq $0, %%r15 ;" - - "movq 48(%1), %%rdx; " /* C[2] */ - "mulx 32(%2), %%r8, %%r9; " /* C[2]*D[0] */ - "addq %%rax, %%r8 ;" - "movq %%r8, 80(%0) ;" - "mulx 40(%2), %%r10, %%r11; " /* C[2]*D[ |