From: Ard Biesheuvel <ard.biesheuvel@linaro.org>
To: linux-crypto@vger.kernel.org
Cc: linux-arm-kernel@lists.infradead.org,
Ard Biesheuvel <ard.biesheuvel@linaro.org>,
Herbert Xu <herbert@gondor.apana.org.au>,
David Miller <davem@davemloft.net>,
Greg KH <gregkh@linuxfoundation.org>,
Linus Torvalds <torvalds@linux-foundation.org>,
"Jason A . Donenfeld" <Jason@zx2c4.com>,
Samuel Neves <sneves@dei.uc.pt>,
Dan Carpenter <dan.carpenter@oracle.com>,
Arnd Bergmann <arnd@arndb.de>, Eric Biggers <ebiggers@google.com>,
Andy Lutomirski <luto@kernel.org>, Will Deacon <will@kernel.org>,
Marc Zyngier <maz@kernel.org>,
Catalin Marinas <catalin.marinas@arm.com>,
Martin Willi <martin@strongswan.org>
Subject: [RFC PATCH 13/20] crypto: Curve25519 - x86_64 library implementation
Date: Sun, 29 Sep 2019 19:38:43 +0200 [thread overview]
Message-ID: <20190929173850.26055-14-ard.biesheuvel@linaro.org> (raw)
In-Reply-To: <20190929173850.26055-1-ard.biesheuvel@linaro.org>
From: "Jason A. Donenfeld" <Jason@zx2c4.com>
This implementation is the fastest available x86_64 implementation, and
unlike Sandy2x, it doesn't requie use of the floating point registers at
all. Instead it makes use of BMI2 and ADX, available on recent
microarchitectures. The implementation was written by Armando
Faz-Hernández with contributions (upstream) from Samuel Neves and me,
in addition to further changes in the kernel implementation from us.
Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
Signed-off-by: Samuel Neves <sneves@dei.uc.pt>
Co-developed-by: Samuel Neves <sneves@dei.uc.pt>
[ardb: move to arch/x86/crypto, wire into lib/crypto framework]
Signed-off-by: Ard Biesheuvel <ard.biesheuvel@linaro.org>
---
arch/x86/crypto/Makefile | 1 +
arch/x86/crypto/curve25519-x86_64.c | 2379 ++++++++++++++++++++
crypto/Kconfig | 7 +
3 files changed, 2387 insertions(+)
diff --git a/arch/x86/crypto/Makefile b/arch/x86/crypto/Makefile
index db87c182ce0f..ac7c076133a0 100644
--- a/arch/x86/crypto/Makefile
+++ b/arch/x86/crypto/Makefile
@@ -39,6 +39,7 @@ obj-$(CONFIG_CRYPTO_AEGIS128_AESNI_SSE2) += aegis128-aesni.o
obj-$(CONFIG_CRYPTO_NHPOLY1305_SSE2) += nhpoly1305-sse2.o
obj-$(CONFIG_CRYPTO_NHPOLY1305_AVX2) += nhpoly1305-avx2.o
+obj-$(CONFIG_CRYPTO_LIB_CURVE25519_X86) += curve25519-x86_64.o
# These modules require assembler to support AVX.
ifeq ($(avx_supported),yes)
diff --git a/arch/x86/crypto/curve25519-x86_64.c b/arch/x86/crypto/curve25519-x86_64.c
new file mode 100644
index 000000000000..1f7857fbd399
--- /dev/null
+++ b/arch/x86/crypto/curve25519-x86_64.c
@@ -0,0 +1,2379 @@
+// SPDX-License-Identifier: GPL-2.0 OR BSD-3-Clause
+/*
+ * 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.
+ */
+
+#include <crypto/curve25519.h>
+
+#include <linux/types.h>
+#include <linux/kernel.h>
+#include <linux/module.h>
+
+#include <asm/cpufeature.h>
+#include <asm/fpu/api.h>
+#include <asm/processor.h>
+
+static bool curve25519_use_bmi2 __ro_after_init;
+static bool curve25519_use_adx __ro_after_init;
+
+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)
+{
+ 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[1] */
+ "adcq %%r10, %%r9 ;"
+ "mulx 48(%2), %%r8, %%r13; " /* C[2]*D[2] */
+ "adcq %%r8, %%r11 ;"
+ "mulx 56(%2), %%r10, %%rax; " /* C[2]*D[3] */
+ "adcq %%r10, %%r13 ;"
+ /******************************************/
+ "adcq $0, %%rax ;"
+
+ "addq %%r9, %%rbx ;"
+ "adcq %%r11, %%rcx ;"
+ "adcq %%r13, %%r15 ;"
+ "adcq $0, %%rax ;"
+
+ "movq 56(%1), %%rdx; " /* C[3] */
+ "mulx 32(%2), %%r8, %%r9; " /* C[3]*D[0] */
+ "addq %%rbx, %%r8 ;"
+ "movq %%r8, 88(%0) ;"
+ "mulx 40(%2), %%r10, %%r11; " /* C[3]*D[1] */
+ "adcq %%r10, %%r9 ;"
+ "mulx 48(%2), %%r8, %%r13; " /* C[3]*D[2] */
+ "adcq %%r8, %%r11 ;"
+ "mulx 56(%2), %%r10, %%rbx; " /* C[3]*D[3] */
+ "adcq %%r10, %%r13 ;"
+ /******************************************/
+ "adcq $0, %%rbx ;"
+
+ "addq %%r9, %%rcx ;"
+ "movq %%rcx, 96(%0) ;"
+ "adcq %%r11, %%r15 ;"
+ "movq %%r15, 104(%0) ;"
+ "adcq %%r13, %%rax ;"
+ "movq %%rax, 112(%0) ;"
+ "adcq $0, %%rbx ;"
+ "movq %%rbx, 120(%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11", "%r13", "%r15");
+}
+
+static void sqr2_256x256_integer_adx(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movq (%1), %%rdx ;" /* A[0] */
+ "mulx 8(%1), %%r8, %%r14 ;" /* A[1]*A[0] */
+ "xorl %%r15d, %%r15d;"
+ "mulx 16(%1), %%r9, %%r10 ;" /* A[2]*A[0] */
+ "adcx %%r14, %%r9 ;"
+ "mulx 24(%1), %%rax, %%rcx ;" /* A[3]*A[0] */
+ "adcx %%rax, %%r10 ;"
+ "movq 24(%1), %%rdx ;" /* A[3] */
+ "mulx 8(%1), %%r11, %%rbx ;" /* A[1]*A[3] */
+ "adcx %%rcx, %%r11 ;"
+ "mulx 16(%1), %%rax, %%r13 ;" /* A[2]*A[3] */
+ "adcx %%rax, %%rbx ;"
+ "movq 8(%1), %%rdx ;" /* A[1] */
+ "adcx %%r15, %%r13 ;"
+ "mulx 16(%1), %%rax, %%rcx ;" /* A[2]*A[1] */
+ "movq $0, %%r14 ;"
+ /******************************************/
+ "adcx %%r15, %%r14 ;"
+
+ "xorl %%r15d, %%r15d;"
+ "adox %%rax, %%r10 ;"
+ "adcx %%r8, %%r8 ;"
+ "adox %%rcx, %%r11 ;"
+ "adcx %%r9, %%r9 ;"
+ "adox %%r15, %%rbx ;"
+ "adcx %%r10, %%r10 ;"
+ "adox %%r15, %%r13 ;"
+ "adcx %%r11, %%r11 ;"
+ "adox %%r15, %%r14 ;"
+ "adcx %%rbx, %%rbx ;"
+ "adcx %%r13, %%r13 ;"
+ "adcx %%r14, %%r14 ;"
+
+ "movq (%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */
+ /*******************/
+ "movq %%rax, 0(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 8(%0) ;"
+ "movq 8(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 16(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 24(%0) ;"
+ "movq 16(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 32(%0) ;"
+ "adcq %%rcx, %%rbx ;"
+ "movq %%rbx, 40(%0) ;"
+ "movq 24(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 48(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 56(%0) ;"
+
+
+ "movq 32(%1), %%rdx ;" /* B[0] */
+ "mulx 40(%1), %%r8, %%r14 ;" /* B[1]*B[0] */
+ "xorl %%r15d, %%r15d;"
+ "mulx 48(%1), %%r9, %%r10 ;" /* B[2]*B[0] */
+ "adcx %%r14, %%r9 ;"
+ "mulx 56(%1), %%rax, %%rcx ;" /* B[3]*B[0] */
+ "adcx %%rax, %%r10 ;"
+ "movq 56(%1), %%rdx ;" /* B[3] */
+ "mulx 40(%1), %%r11, %%rbx ;" /* B[1]*B[3] */
+ "adcx %%rcx, %%r11 ;"
+ "mulx 48(%1), %%rax, %%r13 ;" /* B[2]*B[3] */
+ "adcx %%rax, %%rbx ;"
+ "movq 40(%1), %%rdx ;" /* B[1] */
+ "adcx %%r15, %%r13 ;"
+ "mulx 48(%1), %%rax, %%rcx ;" /* B[2]*B[1] */
+ "movq $0, %%r14 ;"
+ /******************************************/
+ "adcx %%r15, %%r14 ;"
+
+ "xorl %%r15d, %%r15d;"
+ "adox %%rax, %%r10 ;"
+ "adcx %%r8, %%r8 ;"
+ "adox %%rcx, %%r11 ;"
+ "adcx %%r9, %%r9 ;"
+ "adox %%r15, %%rbx ;"
+ "adcx %%r10, %%r10 ;"
+ "adox %%r15, %%r13 ;"
+ "adcx %%r11, %%r11 ;"
+ "adox %%r15, %%r14 ;"
+ "adcx %%rbx, %%rbx ;"
+ "adcx %%r13, %%r13 ;"
+ "adcx %%r14, %%r14 ;"
+
+ "movq 32(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* B[0]^2 */
+ /*******************/
+ "movq %%rax, 64(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 72(%0) ;"
+ "movq 40(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* B[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 80(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 88(%0) ;"
+ "movq 48(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* B[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 96(%0) ;"
+ "adcq %%rcx, %%rbx ;"
+ "movq %%rbx, 104(%0) ;"
+ "movq 56(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* B[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 112(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 120(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11", "%r13", "%r14", "%r15");
+}
+
+static void sqr2_256x256_integer_bmi2(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movq 8(%1), %%rdx ;" /* A[1] */
+ "mulx (%1), %%r8, %%r9 ;" /* A[0]*A[1] */
+ "mulx 16(%1), %%r10, %%r11 ;" /* A[2]*A[1] */
+ "mulx 24(%1), %%rcx, %%r14 ;" /* A[3]*A[1] */
+
+ "movq 16(%1), %%rdx ;" /* A[2] */
+ "mulx 24(%1), %%r15, %%r13 ;" /* A[3]*A[2] */
+ "mulx (%1), %%rax, %%rdx ;" /* A[0]*A[2] */
+
+ "addq %%rax, %%r9 ;"
+ "adcq %%rdx, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq %%r14, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "movq $0, %%r14 ;"
+ "adcq $0, %%r14 ;"
+
+ "movq (%1), %%rdx ;" /* A[0] */
+ "mulx 24(%1), %%rax, %%rcx ;" /* A[0]*A[3] */
+
+ "addq %%rax, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq $0, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "adcq $0, %%r14 ;"
+
+ "shldq $1, %%r13, %%r14 ;"
+ "shldq $1, %%r15, %%r13 ;"
+ "shldq $1, %%r11, %%r15 ;"
+ "shldq $1, %%r10, %%r11 ;"
+ "shldq $1, %%r9, %%r10 ;"
+ "shldq $1, %%r8, %%r9 ;"
+ "shlq $1, %%r8 ;"
+
+ /*******************/
+ "mulx %%rdx, %%rax, %%rcx ; " /* A[0]^2 */
+ /*******************/
+ "movq %%rax, 0(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 8(%0) ;"
+ "movq 8(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* A[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 16(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 24(%0) ;"
+ "movq 16(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* A[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 32(%0) ;"
+ "adcq %%rcx, %%r15 ;"
+ "movq %%r15, 40(%0) ;"
+ "movq 24(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* A[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 48(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 56(%0) ;"
+
+ "movq 40(%1), %%rdx ;" /* B[1] */
+ "mulx 32(%1), %%r8, %%r9 ;" /* B[0]*B[1] */
+ "mulx 48(%1), %%r10, %%r11 ;" /* B[2]*B[1] */
+ "mulx 56(%1), %%rcx, %%r14 ;" /* B[3]*B[1] */
+
+ "movq 48(%1), %%rdx ;" /* B[2] */
+ "mulx 56(%1), %%r15, %%r13 ;" /* B[3]*B[2] */
+ "mulx 32(%1), %%rax, %%rdx ;" /* B[0]*B[2] */
+
+ "addq %%rax, %%r9 ;"
+ "adcq %%rdx, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq %%r14, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "movq $0, %%r14 ;"
+ "adcq $0, %%r14 ;"
+
+ "movq 32(%1), %%rdx ;" /* B[0] */
+ "mulx 56(%1), %%rax, %%rcx ;" /* B[0]*B[3] */
+
+ "addq %%rax, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq $0, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "adcq $0, %%r14 ;"
+
+ "shldq $1, %%r13, %%r14 ;"
+ "shldq $1, %%r15, %%r13 ;"
+ "shldq $1, %%r11, %%r15 ;"
+ "shldq $1, %%r10, %%r11 ;"
+ "shldq $1, %%r9, %%r10 ;"
+ "shldq $1, %%r8, %%r9 ;"
+ "shlq $1, %%r8 ;"
+
+ /*******************/
+ "mulx %%rdx, %%rax, %%rcx ; " /* B[0]^2 */
+ /*******************/
+ "movq %%rax, 64(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 72(%0) ;"
+ "movq 40(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* B[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 80(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 88(%0) ;"
+ "movq 48(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* B[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 96(%0) ;"
+ "adcq %%rcx, %%r15 ;"
+ "movq %%r15, 104(%0) ;"
+ "movq 56(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ; " /* B[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 112(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 120(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10",
+ "%r11", "%r13", "%r14", "%r15");
+}
+
+static void red_eltfp25519_2w_adx(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movl $38, %%edx; " /* 2*c = 38 = 2^256 */
+ "mulx 32(%1), %%r8, %%r10; " /* c*C[4] */
+ "xorl %%ebx, %%ebx ;"
+ "adox (%1), %%r8 ;"
+ "mulx 40(%1), %%r9, %%r11; " /* c*C[5] */
+ "adcx %%r10, %%r9 ;"
+ "adox 8(%1), %%r9 ;"
+ "mulx 48(%1), %%r10, %%rax; " /* c*C[6] */
+ "adcx %%r11, %%r10 ;"
+ "adox 16(%1), %%r10 ;"
+ "mulx 56(%1), %%r11, %%rcx; " /* c*C[7] */
+ "adcx %%rax, %%r11 ;"
+ "adox 24(%1), %%r11 ;"
+ /***************************************/
+ "adcx %%rbx, %%rcx ;"
+ "adox %%rbx, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0, of=0 */
+ "adcx %%rcx, %%r8 ;"
+ "adcx %%rbx, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcx %%rbx, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcx %%rbx, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+
+ "mulx 96(%1), %%r8, %%r10; " /* c*C[4] */
+ "xorl %%ebx, %%ebx ;"
+ "adox 64(%1), %%r8 ;"
+ "mulx 104(%1), %%r9, %%r11; " /* c*C[5] */
+ "adcx %%r10, %%r9 ;"
+ "adox 72(%1), %%r9 ;"
+ "mulx 112(%1), %%r10, %%rax; " /* c*C[6] */
+ "adcx %%r11, %%r10 ;"
+ "adox 80(%1), %%r10 ;"
+ "mulx 120(%1), %%r11, %%rcx; " /* c*C[7] */
+ "adcx %%rax, %%r11 ;"
+ "adox 88(%1), %%r11 ;"
+ /****************************************/
+ "adcx %%rbx, %%rcx ;"
+ "adox %%rbx, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0, of=0 */
+ "adcx %%rcx, %%r8 ;"
+ "adcx %%rbx, %%r9 ;"
+ "movq %%r9, 40(%0) ;"
+ "adcx %%rbx, %%r10 ;"
+ "movq %%r10, 48(%0) ;"
+ "adcx %%rbx, %%r11 ;"
+ "movq %%r11, 56(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 32(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11");
+}
+
+static void red_eltfp25519_2w_bmi2(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movl $38, %%edx ; " /* 2*c = 38 = 2^256 */
+ "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */
+ "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */
+ "addq %%r10, %%r9 ;"
+ "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */
+ "adcq %%r11, %%r10 ;"
+ "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */
+ "adcq %%rax, %%r11 ;"
+ /***************************************/
+ "adcq $0, %%rcx ;"
+ "addq (%1), %%r8 ;"
+ "adcq 8(%1), %%r9 ;"
+ "adcq 16(%1), %%r10 ;"
+ "adcq 24(%1), %%r11 ;"
+ "adcq $0, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0 */
+ "addq %%rcx, %%r8 ;"
+ "adcq $0, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcq $0, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcq $0, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+
+ "mulx 96(%1), %%r8, %%r10 ;" /* c*C[4] */
+ "mulx 104(%1), %%r9, %%r11 ;" /* c*C[5] */
+ "addq %%r10, %%r9 ;"
+ "mulx 112(%1), %%r10, %%rax ;" /* c*C[6] */
+ "adcq %%r11, %%r10 ;"
+ "mulx 120(%1), %%r11, %%rcx ;" /* c*C[7] */
+ "adcq %%rax, %%r11 ;"
+ /****************************************/
+ "adcq $0, %%rcx ;"
+ "addq 64(%1), %%r8 ;"
+ "adcq 72(%1), %%r9 ;"
+ "adcq 80(%1), %%r10 ;"
+ "adcq 88(%1), %%r11 ;"
+ "adcq $0, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0 */
+ "addq %%rcx, %%r8 ;"
+ "adcq $0, %%r9 ;"
+ "movq %%r9, 40(%0) ;"
+ "adcq $0, %%r10 ;"
+ "movq %%r10, 48(%0) ;"
+ "adcq $0, %%r11 ;"
+ "movq %%r11, 56(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 32(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10",
+ "%r11");
+}
+
+static void mul_256x256_integer_adx(u64 *const c, const u64 *const a,
+ const u64 *const b)
+{
+ asm volatile(
+ "movq (%1), %%rdx; " /* A[0] */
+ "mulx (%2), %%r8, %%r9; " /* A[0]*B[0] */
+ "xorl %%r10d, %%r10d ;"
+ "movq %%r8, (%0) ;"
+ "mulx 8(%2), %%r10, %%r11; " /* A[0]*B[1] */
+ "adox %%r9, %%r10 ;"
+ "movq %%r10, 8(%0) ;"
+ "mulx 16(%2), %%r15, %%r13; " /* A[0]*B[2] */
+ "adox %%r11, %%r15 ;"
+ "mulx 24(%2), %%r14, %%rdx; " /* A[0]*B[3] */
+ "adox %%r13, %%r14 ;"
+ "movq $0, %%rax ;"
+ /******************************************/
+ "adox %%rdx, %%rax ;"
+
+ "movq 8(%1), %%rdx; " /* A[1] */
+ "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */
+ "xorl %%r10d, %%r10d ;"
+ "adcx 8(%0), %%r8 ;"
+ "movq %%r8, 8(%0) ;"
+ "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */
+ "adox %%r9, %%r10 ;"
+ "adcx %%r15, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "mulx 16(%2), %%r15, %%r13; " /* A[1]*B[2] */
+ "adox %%r11, %%r15 ;"
+ "adcx %%r14, %%r15 ;"
+ "movq $0, %%r8 ;"
+ "mulx 24(%2), %%r14, %%rdx; " /* A[1]*B[3] */
+ "adox %%r13, %%r14 ;"
+ "adcx %%rax, %%r14 ;"
+ "movq $0, %%rax ;"
+ /******************************************/
+ "adox %%rdx, %%rax ;"
+ "adcx %%r8, %%rax ;"
+
+ "movq 16(%1), %%rdx; " /* A[2] */
+ "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */
+ "xorl %%r10d, %%r10d ;"
+ "adcx 16(%0), %%r8 ;"
+ "movq %%r8, 16(%0) ;"
+ "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */
+ "adox %%r9, %%r10 ;"
+ "adcx %%r15, %%r10 ;"
+ "movq %%r10, 24(%0) ;"
+ "mulx 16(%2), %%r15, %%r13; " /* A[2]*B[2] */
+ "adox %%r11, %%r15 ;"
+ "adcx %%r14, %%r15 ;"
+ "movq $0, %%r8 ;"
+ "mulx 24(%2), %%r14, %%rdx; " /* A[2]*B[3] */
+ "adox %%r13, %%r14 ;"
+ "adcx %%rax, %%r14 ;"
+ "movq $0, %%rax ;"
+ /******************************************/
+ "adox %%rdx, %%rax ;"
+ "adcx %%r8, %%rax ;"
+
+ "movq 24(%1), %%rdx; " /* A[3] */
+ "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */
+ "xorl %%r10d, %%r10d ;"
+ "adcx 24(%0), %%r8 ;"
+ "movq %%r8, 24(%0) ;"
+ "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */
+ "adox %%r9, %%r10 ;"
+ "adcx %%r15, %%r10 ;"
+ "movq %%r10, 32(%0) ;"
+ "mulx 16(%2), %%r15, %%r13; " /* A[3]*B[2] */
+ "adox %%r11, %%r15 ;"
+ "adcx %%r14, %%r15 ;"
+ "movq %%r15, 40(%0) ;"
+ "movq $0, %%r8 ;"
+ "mulx 24(%2), %%r14, %%rdx; " /* A[3]*B[3] */
+ "adox %%r13, %%r14 ;"
+ "adcx %%rax, %%r14 ;"
+ "movq %%r14, 48(%0) ;"
+ "movq $0, %%rax ;"
+ /******************************************/
+ "adox %%rdx, %%rax ;"
+ "adcx %%r8, %%rax ;"
+ "movq %%rax, 56(%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11",
+ "%r13", "%r14", "%r15");
+}
+
+static void mul_256x256_integer_bmi2(u64 *const c, const u64 *const a,
+ const u64 *const 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) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11", "%r13", "%r15");
+}
+
+static void sqr_256x256_integer_adx(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movq (%1), %%rdx ;" /* A[0] */
+ "mulx 8(%1), %%r8, %%r14 ;" /* A[1]*A[0] */
+ "xorl %%r15d, %%r15d;"
+ "mulx 16(%1), %%r9, %%r10 ;" /* A[2]*A[0] */
+ "adcx %%r14, %%r9 ;"
+ "mulx 24(%1), %%rax, %%rcx ;" /* A[3]*A[0] */
+ "adcx %%rax, %%r10 ;"
+ "movq 24(%1), %%rdx ;" /* A[3] */
+ "mulx 8(%1), %%r11, %%rbx ;" /* A[1]*A[3] */
+ "adcx %%rcx, %%r11 ;"
+ "mulx 16(%1), %%rax, %%r13 ;" /* A[2]*A[3] */
+ "adcx %%rax, %%rbx ;"
+ "movq 8(%1), %%rdx ;" /* A[1] */
+ "adcx %%r15, %%r13 ;"
+ "mulx 16(%1), %%rax, %%rcx ;" /* A[2]*A[1] */
+ "movq $0, %%r14 ;"
+ /******************************************/
+ "adcx %%r15, %%r14 ;"
+
+ "xorl %%r15d, %%r15d;"
+ "adox %%rax, %%r10 ;"
+ "adcx %%r8, %%r8 ;"
+ "adox %%rcx, %%r11 ;"
+ "adcx %%r9, %%r9 ;"
+ "adox %%r15, %%rbx ;"
+ "adcx %%r10, %%r10 ;"
+ "adox %%r15, %%r13 ;"
+ "adcx %%r11, %%r11 ;"
+ "adox %%r15, %%r14 ;"
+ "adcx %%rbx, %%rbx ;"
+ "adcx %%r13, %%r13 ;"
+ "adcx %%r14, %%r14 ;"
+
+ "movq (%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */
+ /*******************/
+ "movq %%rax, 0(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 8(%0) ;"
+ "movq 8(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 16(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 24(%0) ;"
+ "movq 16(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 32(%0) ;"
+ "adcq %%rcx, %%rbx ;"
+ "movq %%rbx, 40(%0) ;"
+ "movq 24(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 48(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 56(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11", "%r13", "%r14", "%r15");
+}
+
+static void sqr_256x256_integer_bmi2(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movq 8(%1), %%rdx ;" /* A[1] */
+ "mulx (%1), %%r8, %%r9 ;" /* A[0]*A[1] */
+ "mulx 16(%1), %%r10, %%r11 ;" /* A[2]*A[1] */
+ "mulx 24(%1), %%rcx, %%r14 ;" /* A[3]*A[1] */
+
+ "movq 16(%1), %%rdx ;" /* A[2] */
+ "mulx 24(%1), %%r15, %%r13 ;" /* A[3]*A[2] */
+ "mulx (%1), %%rax, %%rdx ;" /* A[0]*A[2] */
+
+ "addq %%rax, %%r9 ;"
+ "adcq %%rdx, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq %%r14, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "movq $0, %%r14 ;"
+ "adcq $0, %%r14 ;"
+
+ "movq (%1), %%rdx ;" /* A[0] */
+ "mulx 24(%1), %%rax, %%rcx ;" /* A[0]*A[3] */
+
+ "addq %%rax, %%r10 ;"
+ "adcq %%rcx, %%r11 ;"
+ "adcq $0, %%r15 ;"
+ "adcq $0, %%r13 ;"
+ "adcq $0, %%r14 ;"
+
+ "shldq $1, %%r13, %%r14 ;"
+ "shldq $1, %%r15, %%r13 ;"
+ "shldq $1, %%r11, %%r15 ;"
+ "shldq $1, %%r10, %%r11 ;"
+ "shldq $1, %%r9, %%r10 ;"
+ "shldq $1, %%r8, %%r9 ;"
+ "shlq $1, %%r8 ;"
+
+ /*******************/
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */
+ /*******************/
+ "movq %%rax, 0(%0) ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, 8(%0) ;"
+ "movq 8(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */
+ "adcq %%rax, %%r9 ;"
+ "movq %%r9, 16(%0) ;"
+ "adcq %%rcx, %%r10 ;"
+ "movq %%r10, 24(%0) ;"
+ "movq 16(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */
+ "adcq %%rax, %%r11 ;"
+ "movq %%r11, 32(%0) ;"
+ "adcq %%rcx, %%r15 ;"
+ "movq %%r15, 40(%0) ;"
+ "movq 24(%1), %%rdx ;"
+ "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */
+ "adcq %%rax, %%r13 ;"
+ "movq %%r13, 48(%0) ;"
+ "adcq %%rcx, %%r14 ;"
+ "movq %%r14, 56(%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10",
+ "%r11", "%r13", "%r14", "%r15");
+}
+
+static void red_eltfp25519_1w_adx(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movl $38, %%edx ;" /* 2*c = 38 = 2^256 */
+ "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */
+ "xorl %%ebx, %%ebx ;"
+ "adox (%1), %%r8 ;"
+ "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */
+ "adcx %%r10, %%r9 ;"
+ "adox 8(%1), %%r9 ;"
+ "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */
+ "adcx %%r11, %%r10 ;"
+ "adox 16(%1), %%r10 ;"
+ "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */
+ "adcx %%rax, %%r11 ;"
+ "adox 24(%1), %%r11 ;"
+ /***************************************/
+ "adcx %%rbx, %%rcx ;"
+ "adox %%rbx, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0, of=0 */
+ "adcx %%rcx, %%r8 ;"
+ "adcx %%rbx, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcx %%rbx, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcx %%rbx, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9",
+ "%r10", "%r11");
+}
+
+static void red_eltfp25519_1w_bmi2(u64 *const c, const u64 *const a)
+{
+ asm volatile(
+ "movl $38, %%edx ;" /* 2*c = 38 = 2^256 */
+ "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */
+ "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */
+ "addq %%r10, %%r9 ;"
+ "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */
+ "adcq %%r11, %%r10 ;"
+ "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */
+ "adcq %%rax, %%r11 ;"
+ /***************************************/
+ "adcq $0, %%rcx ;"
+ "addq (%1), %%r8 ;"
+ "adcq 8(%1), %%r9 ;"
+ "adcq 16(%1), %%r10 ;"
+ "adcq 24(%1), %%r11 ;"
+ "adcq $0, %%rcx ;"
+ "imul %%rdx, %%rcx ;" /* c*C[4], cf=0 */
+ "addq %%rcx, %%r8 ;"
+ "adcq $0, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcq $0, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcq $0, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a)
+ : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10",
+ "%r11");
+}
+
+static __always_inline void
+add_eltfp25519_1w_adx(u64 *const c, const u64 *const a, const u64 *const b)
+{
+ asm volatile(
+ "mov $38, %%eax ;"
+ "xorl %%ecx, %%ecx ;"
+ "movq (%2), %%r8 ;"
+ "adcx (%1), %%r8 ;"
+ "movq 8(%2), %%r9 ;"
+ "adcx 8(%1), %%r9 ;"
+ "movq 16(%2), %%r10 ;"
+ "adcx 16(%1), %%r10 ;"
+ "movq 24(%2), %%r11 ;"
+ "adcx 24(%1), %%r11 ;"
+ "cmovc %%eax, %%ecx ;"
+ "xorl %%eax, %%eax ;"
+ "adcx %%rcx, %%r8 ;"
+ "adcx %%rax, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcx %%rax, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcx %%rax, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $38, %%ecx ;"
+ "cmovc %%ecx, %%eax ;"
+ "addq %%rax, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11");
+}
+
+static __always_inline void
+add_eltfp25519_1w_bmi2(u64 *const c, const u64 *const a, const u64 *const b)
+{
+ asm volatile(
+ "mov $38, %%eax ;"
+ "movq (%2), %%r8 ;"
+ "addq (%1), %%r8 ;"
+ "movq 8(%2), %%r9 ;"
+ "adcq 8(%1), %%r9 ;"
+ "movq 16(%2), %%r10 ;"
+ "adcq 16(%1), %%r10 ;"
+ "movq 24(%2), %%r11 ;"
+ "adcq 24(%1), %%r11 ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%eax, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "adcq $0, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcq $0, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcq $0, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%eax, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11");
+}
+
+static __always_inline void
+sub_eltfp25519_1w(u64 *const c, const u64 *const a, const u64 *const b)
+{
+ asm volatile(
+ "mov $38, %%eax ;"
+ "movq (%1), %%r8 ;"
+ "subq (%2), %%r8 ;"
+ "movq 8(%1), %%r9 ;"
+ "sbbq 8(%2), %%r9 ;"
+ "movq 16(%1), %%r10 ;"
+ "sbbq 16(%2), %%r10 ;"
+ "movq 24(%1), %%r11 ;"
+ "sbbq 24(%2), %%r11 ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%eax, %%ecx ;"
+ "subq %%rcx, %%r8 ;"
+ "sbbq $0, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "sbbq $0, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "sbbq $0, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%eax, %%ecx ;"
+ "subq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(b)
+ : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11");
+}
+
+/* Multiplication by a24 = (A+2)/4 = (486662+2)/4 = 121666 */
+static __always_inline void
+mul_a24_eltfp25519_1w(u64 *const c, const u64 *const a)
+{
+ const u64 a24 = 121666;
+ asm volatile(
+ "movq %2, %%rdx ;"
+ "mulx (%1), %%r8, %%r10 ;"
+ "mulx 8(%1), %%r9, %%r11 ;"
+ "addq %%r10, %%r9 ;"
+ "mulx 16(%1), %%r10, %%rax ;"
+ "adcq %%r11, %%r10 ;"
+ "mulx 24(%1), %%r11, %%rcx ;"
+ "adcq %%rax, %%r11 ;"
+ /**************************/
+ "adcq $0, %%rcx ;"
+ "movl $38, %%edx ;" /* 2*c = 38 = 2^256 mod 2^255-19*/
+ "imul %%rdx, %%rcx ;"
+ "addq %%rcx, %%r8 ;"
+ "adcq $0, %%r9 ;"
+ "movq %%r9, 8(%0) ;"
+ "adcq $0, %%r10 ;"
+ "movq %%r10, 16(%0) ;"
+ "adcq $0, %%r11 ;"
+ "movq %%r11, 24(%0) ;"
+ "mov $0, %%ecx ;"
+ "cmovc %%edx, %%ecx ;"
+ "addq %%rcx, %%r8 ;"
+ "movq %%r8, (%0) ;"
+ :
+ : "r"(c), "r"(a), "r"(a24)
+ : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10",
+ "%r11");
+}
+
+static void inv_eltfp25519_1w_adx(u64 *const c, const u64 *const a)
+{
+ struct {
+ eltfp25519_1w_buffer buffer;
+ eltfp25519_1w x0, x1, x2;
+ } __aligned(32) m;
+ u64 *T[4];
+
+ T[0] = m.x0;
+ T[1] = c; /* x^(-1) */
+ T[2] = m.x1;
+ T[3] = m.x2;
+
+ copy_eltfp25519_1w(T[1], a);
+ sqrn_eltfp25519_1w_adx(T[1], 1);
+ copy_eltfp25519_1w(T[2], T[1]);
+ sqrn_eltfp25519_1w_adx(T[2], 2);
+ mul_eltfp25519_1w_adx(T[0], a, T[2]);
+ mul_eltfp25519_1w_adx(T[1], T[1], T[0]);
+ copy_eltfp25519_1w(T[2], T[1]);
+ sqrn_eltfp25519_1w_adx(T[2], 1);
+ mul_eltfp25519_1w_adx(T[0], T[0], T[2]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_adx(T[2], 5);
+ mul_eltfp25519_1w_adx(T[0], T[0], T[2]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_adx(T[2], 10);
+ mul_eltfp25519_1w_adx(T[2], T[2], T[0]);
+ copy_eltfp25519_1w(T[3], T[2]);
+ sqrn_eltfp25519_1w_adx(T[3], 20);
+ mul_eltfp25519_1w_adx(T[3], T[3], T[2]);
+ sqrn_eltfp25519_1w_adx(T[3], 10);
+ mul_eltfp25519_1w_adx(T[3], T[3], T[0]);
+ copy_eltfp25519_1w(T[0], T[3]);
+ sqrn_eltfp25519_1w_adx(T[0], 50);
+ mul_eltfp25519_1w_adx(T[0], T[0], T[3]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_adx(T[2], 100);
+ mul_eltfp25519_1w_adx(T[2], T[2], T[0]);
+ sqrn_eltfp25519_1w_adx(T[2], 50);
+ mul_eltfp25519_1w_adx(T[2], T[2], T[3]);
+ sqrn_eltfp25519_1w_adx(T[2], 5);
+ mul_eltfp25519_1w_adx(T[1], T[1], T[2]);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+static void inv_eltfp25519_1w_bmi2(u64 *const c, const u64 *const a)
+{
+ struct {
+ eltfp25519_1w_buffer buffer;
+ eltfp25519_1w x0, x1, x2;
+ } __aligned(32) m;
+ u64 *T[5];
+
+ T[0] = m.x0;
+ T[1] = c; /* x^(-1) */
+ T[2] = m.x1;
+ T[3] = m.x2;
+
+ copy_eltfp25519_1w(T[1], a);
+ sqrn_eltfp25519_1w_bmi2(T[1], 1);
+ copy_eltfp25519_1w(T[2], T[1]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 2);
+ mul_eltfp25519_1w_bmi2(T[0], a, T[2]);
+ mul_eltfp25519_1w_bmi2(T[1], T[1], T[0]);
+ copy_eltfp25519_1w(T[2], T[1]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 1);
+ mul_eltfp25519_1w_bmi2(T[0], T[0], T[2]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 5);
+ mul_eltfp25519_1w_bmi2(T[0], T[0], T[2]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 10);
+ mul_eltfp25519_1w_bmi2(T[2], T[2], T[0]);
+ copy_eltfp25519_1w(T[3], T[2]);
+ sqrn_eltfp25519_1w_bmi2(T[3], 20);
+ mul_eltfp25519_1w_bmi2(T[3], T[3], T[2]);
+ sqrn_eltfp25519_1w_bmi2(T[3], 10);
+ mul_eltfp25519_1w_bmi2(T[3], T[3], T[0]);
+ copy_eltfp25519_1w(T[0], T[3]);
+ sqrn_eltfp25519_1w_bmi2(T[0], 50);
+ mul_eltfp25519_1w_bmi2(T[0], T[0], T[3]);
+ copy_eltfp25519_1w(T[2], T[0]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 100);
+ mul_eltfp25519_1w_bmi2(T[2], T[2], T[0]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 50);
+ mul_eltfp25519_1w_bmi2(T[2], T[2], T[3]);
+ sqrn_eltfp25519_1w_bmi2(T[2], 5);
+ mul_eltfp25519_1w_bmi2(T[1], T[1], T[2]);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+/* Given c, a 256-bit number, fred_eltfp25519_1w updates c
+ * with a number such that 0 <= C < 2**255-19.
+ */
+static __always_inline void fred_eltfp25519_1w(u64 *const c)
+{
+ u64 tmp0 = 38, tmp1 = 19;
+ asm volatile(
+ "btrq $63, %3 ;" /* Put bit 255 in carry flag and clear */
+ "cmovncl %k5, %k4 ;" /* c[255] ? 38 : 19 */
+
+ /* Add either 19 or 38 to c */
+ "addq %4, %0 ;"
+ "adcq $0, %1 ;"
+ "adcq $0, %2 ;"
+ "adcq $0, %3 ;"
+
+ /* Test for bit 255 again; only triggered on overflow modulo 2^255-19 */
+ "movl $0, %k4 ;"
+ "cmovnsl %k5, %k4 ;" /* c[255] ? 0 : 19 */
+ "btrq $63, %3 ;" /* Clear bit 255 */
+
+ /* Subtract 19 if necessary */
+ "subq %4, %0 ;"
+ "sbbq $0, %1 ;"
+ "sbbq $0, %2 ;"
+ "sbbq $0, %3 ;"
+
+ : "+r"(c[0]), "+r"(c[1]), "+r"(c[2]), "+r"(c[3]), "+r"(tmp0),
+ "+r"(tmp1)
+ :
+ : "memory", "cc");
+}
+
+static __always_inline void cswap(u8 bit, u64 *const px, u64 *const py)
+{
+ u64 temp;
+ asm volatile(
+ "test %9, %9 ;"
+ "movq %0, %8 ;"
+ "cmovnzq %4, %0 ;"
+ "cmovnzq %8, %4 ;"
+ "movq %1, %8 ;"
+ "cmovnzq %5, %1 ;"
+ "cmovnzq %8, %5 ;"
+ "movq %2, %8 ;"
+ "cmovnzq %6, %2 ;"
+ "cmovnzq %8, %6 ;"
+ "movq %3, %8 ;"
+ "cmovnzq %7, %3 ;"
+ "cmovnzq %8, %7 ;"
+ : "+r"(px[0]), "+r"(px[1]), "+r"(px[2]), "+r"(px[3]),
+ "+r"(py[0]), "+r"(py[1]), "+r"(py[2]), "+r"(py[3]),
+ "=r"(temp)
+ : "r"(bit)
+ : "cc"
+ );
+}
+
+static __always_inline void cselect(u8 bit, u64 *const px, const u64 *const py)
+{
+ asm volatile(
+ "test %4, %4 ;"
+ "cmovnzq %5, %0 ;"
+ "cmovnzq %6, %1 ;"
+ "cmovnzq %7, %2 ;"
+ "cmovnzq %8, %3 ;"
+ : "+r"(px[0]), "+r"(px[1]), "+r"(px[2]), "+r"(px[3])
+ : "r"(bit), "rm"(py[0]), "rm"(py[1]), "rm"(py[2]), "rm"(py[3])
+ : "cc"
+ );
+}
+
+static void curve25519_adx(u8 shared[CURVE25519_KEY_SIZE],
+ const u8 private_key[CURVE25519_KEY_SIZE],
+ const u8 session_key[CURVE25519_KEY_SIZE])
+{
+ struct {
+ u64 buffer[4 * NUM_WORDS_ELTFP25519];
+ u64 coordinates[4 * NUM_WORDS_ELTFP25519];
+ u64 workspace[6 * NUM_WORDS_ELTFP25519];
+ u8 session[CURVE25519_KEY_SIZE];
+ u8 private[CURVE25519_KEY_SIZE];
+ } __aligned(32) m;
+
+ int i = 0, j = 0;
+ u64 prev = 0;
+ u64 *const X1 = (u64 *)m.session;
+ u64 *const key = (u64 *)m.private;
+ u64 *const Px = m.coordinates + 0;
+ u64 *const Pz = m.coordinates + 4;
+ u64 *const Qx = m.coordinates + 8;
+ u64 *const Qz = m.coordinates + 12;
+ u64 *const X2 = Qx;
+ u64 *const Z2 = Qz;
+ u64 *const X3 = Px;
+ u64 *const Z3 = Pz;
+ u64 *const X2Z2 = Qx;
+ u64 *const X3Z3 = Px;
+
+ u64 *const A = m.workspace + 0;
+ u64 *const B = m.workspace + 4;
+ u64 *const D = m.workspace + 8;
+ u64 *const C = m.workspace + 12;
+ u64 *const DA = m.workspace + 16;
+ u64 *const CB = m.workspace + 20;
+ u64 *const AB = A;
+ u64 *const DC = D;
+ u64 *const DACB = DA;
+
+ memcpy(m.private, private_key, sizeof(m.private));
+ memcpy(m.session, session_key, sizeof(m.session));
+
+ curve25519_clamp_secret(m.private);
+
+ /* As in the draft:
+ * When receiving such an array, implementations of curve25519
+ * MUST mask the most-significant bit in the final byte. This
+ * is done to preserve compatibility with point formats which
+ * reserve the sign bit for use in other protocols and to
+ * increase resistance to implementation fingerprinting
+ */
+ m.session[CURVE25519_KEY_SIZE - 1] &= (1 << (255 % 8)) - 1;
+
+ copy_eltfp25519_1w(Px, X1);
+ setzero_eltfp25519_1w(Pz);
+ setzero_eltfp25519_1w(Qx);
+ setzero_eltfp25519_1w(Qz);
+
+ Pz[0] = 1;
+ Qx[0] = 1;
+
+ /* main-loop */
+ prev = 0;
+ j = 62;
+ for (i = 3; i >= 0; --i) {
+ while (j >= 0) {
+ u64 bit = (key[i] >> j) & 0x1;
+ u64 swap = bit ^ prev;
+ prev = bit;
+
+ add_eltfp25519_1w_adx(A, X2, Z2); /* A = (X2+Z2) */
+ sub_eltfp25519_1w(B, X2, Z2); /* B = (X2-Z2) */
+ add_eltfp25519_1w_adx(C, X3, Z3); /* C = (X3+Z3) */
+ sub_eltfp25519_1w(D, X3, Z3); /* D = (X3-Z3) */
+ mul_eltfp25519_2w_adx(DACB, AB, DC); /* [DA|CB] = [A|B]*[D|C] */
+
+ cselect(swap, A, C);
+ cselect(swap, B, D);
+
+ sqr_eltfp25519_2w_adx(AB); /* [AA|BB] = [A^2|B^2] */
+ add_eltfp25519_1w_adx(X3, DA, CB); /* X3 = (DA+CB) */
+ sub_eltfp25519_1w(Z3, DA, CB); /* Z3 = (DA-CB) */
+ sqr_eltfp25519_2w_adx(X3Z3); /* [X3|Z3] = [(DA+CB)|(DA+CB)]^2 */
+
+ copy_eltfp25519_1w(X2, B); /* X2 = B^2 */
+ sub_eltfp25519_1w(Z2, A, B); /* Z2 = E = AA-BB */
+
+ mul_a24_eltfp25519_1w(B, Z2); /* B = a24*E */
+ add_eltfp25519_1w_adx(B, B, X2); /* B = a24*E+B */
+ mul_eltfp25519_2w_adx(X2Z2, X2Z2, AB); /* [X2|Z2] = [B|E]*[A|a24*E+B] */
+ mul_eltfp25519_1w_adx(Z3, Z3, X1); /* Z3 = Z3*X1 */
+ --j;
+ }
+ j = 63;
+ }
+
+ inv_eltfp25519_1w_adx(A, Qz);
+ mul_eltfp25519_1w_adx((u64 *)shared, Qx, A);
+ fred_eltfp25519_1w((u64 *)shared);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+static void curve25519_adx_base(u8 session_key[CURVE25519_KEY_SIZE],
+ const u8 private_key[CURVE25519_KEY_SIZE])
+{
+ struct {
+ u64 buffer[4 * NUM_WORDS_ELTFP25519];
+ u64 coordinates[4 * NUM_WORDS_ELTFP25519];
+ u64 workspace[4 * NUM_WORDS_ELTFP25519];
+ u8 private[CURVE25519_KEY_SIZE];
+ } __aligned(32) m;
+
+ const int ite[4] = { 64, 64, 64, 63 };
+ const int q = 3;
+ u64 swap = 1;
+
+ int i = 0, j = 0, k = 0;
+ u64 *const key = (u64 *)m.private;
+ u64 *const Ur1 = m.coordinates + 0;
+ u64 *const Zr1 = m.coordinates + 4;
+ u64 *const Ur2 = m.coordinates + 8;
+ u64 *const Zr2 = m.coordinates + 12;
+
+ u64 *const UZr1 = m.coordinates + 0;
+ u64 *const ZUr2 = m.coordinates + 8;
+
+ u64 *const A = m.workspace + 0;
+ u64 *const B = m.workspace + 4;
+ u64 *const C = m.workspace + 8;
+ u64 *const D = m.workspace + 12;
+
+ u64 *const AB = m.workspace + 0;
+ u64 *const CD = m.workspace + 8;
+
+ const u64 *const P = table_ladder_8k;
+
+ memcpy(m.private, private_key, sizeof(m.private));
+
+ curve25519_clamp_secret(m.private);
+
+ setzero_eltfp25519_1w(Ur1);
+ setzero_eltfp25519_1w(Zr1);
+ setzero_eltfp25519_1w(Zr2);
+ Ur1[0] = 1;
+ Zr1[0] = 1;
+ Zr2[0] = 1;
+
+ /* G-S */
+ Ur2[3] = 0x1eaecdeee27cab34UL;
+ Ur2[2] = 0xadc7a0b9235d48e2UL;
+ Ur2[1] = 0xbbf095ae14b2edf8UL;
+ Ur2[0] = 0x7e94e1fec82faabdUL;
+
+ /* main-loop */
+ j = q;
+ for (i = 0; i < NUM_WORDS_ELTFP25519; ++i) {
+ while (j < ite[i]) {
+ u64 bit = (key[i] >> j) & 0x1;
+ k = (64 * i + j - q);
+ swap = swap ^ bit;
+ cswap(swap, Ur1, Ur2);
+ cswap(swap, Zr1, Zr2);
+ swap = bit;
+ /* Addition */
+ sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */
+ add_eltfp25519_1w_adx(A, Ur1, Zr1); /* A = Ur1+Zr1 */
+ mul_eltfp25519_1w_adx(C, &P[4 * k], B); /* C = M0-B */
+ sub_eltfp25519_1w(B, A, C); /* B = (Ur1+Zr1) - M*(Ur1-Zr1) */
+ add_eltfp25519_1w_adx(A, A, C); /* A = (Ur1+Zr1) + M*(Ur1-Zr1) */
+ sqr_eltfp25519_2w_adx(AB); /* A = A^2 | B = B^2 */
+ mul_eltfp25519_2w_adx(UZr1, ZUr2, AB); /* Ur1 = Zr2*A | Zr1 = Ur2*B */
+ ++j;
+ }
+ j = 0;
+ }
+
+ /* Doubling */
+ for (i = 0; i < q; ++i) {
+ add_eltfp25519_1w_adx(A, Ur1, Zr1); /* A = Ur1+Zr1 */
+ sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */
+ sqr_eltfp25519_2w_adx(AB); /* A = A**2 B = B**2 */
+ copy_eltfp25519_1w(C, B); /* C = B */
+ sub_eltfp25519_1w(B, A, B); /* B = A-B */
+ mul_a24_eltfp25519_1w(D, B); /* D = my_a24*B */
+ add_eltfp25519_1w_adx(D, D, C); /* D = D+C */
+ mul_eltfp25519_2w_adx(UZr1, AB, CD); /* Ur1 = A*B Zr1 = Zr1*A */
+ }
+
+ /* Convert to affine coordinates */
+ inv_eltfp25519_1w_adx(A, Zr1);
+ mul_eltfp25519_1w_adx((u64 *)session_key, Ur1, A);
+ fred_eltfp25519_1w((u64 *)session_key);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+static void curve25519_bmi2(u8 shared[CURVE25519_KEY_SIZE],
+ const u8 private_key[CURVE25519_KEY_SIZE],
+ const u8 session_key[CURVE25519_KEY_SIZE])
+{
+ struct {
+ u64 buffer[4 * NUM_WORDS_ELTFP25519];
+ u64 coordinates[4 * NUM_WORDS_ELTFP25519];
+ u64 workspace[6 * NUM_WORDS_ELTFP25519];
+ u8 session[CURVE25519_KEY_SIZE];
+ u8 private[CURVE25519_KEY_SIZE];
+ } __aligned(32) m;
+
+ int i = 0, j = 0;
+ u64 prev = 0;
+ u64 *const X1 = (u64 *)m.session;
+ u64 *const key = (u64 *)m.private;
+ u64 *const Px = m.coordinates + 0;
+ u64 *const Pz = m.coordinates + 4;
+ u64 *const Qx = m.coordinates + 8;
+ u64 *const Qz = m.coordinates + 12;
+ u64 *const X2 = Qx;
+ u64 *const Z2 = Qz;
+ u64 *const X3 = Px;
+ u64 *const Z3 = Pz;
+ u64 *const X2Z2 = Qx;
+ u64 *const X3Z3 = Px;
+
+ u64 *const A = m.workspace + 0;
+ u64 *const B = m.workspace + 4;
+ u64 *const D = m.workspace + 8;
+ u64 *const C = m.workspace + 12;
+ u64 *const DA = m.workspace + 16;
+ u64 *const CB = m.workspace + 20;
+ u64 *const AB = A;
+ u64 *const DC = D;
+ u64 *const DACB = DA;
+
+ memcpy(m.private, private_key, sizeof(m.private));
+ memcpy(m.session, session_key, sizeof(m.session));
+
+ curve25519_clamp_secret(m.private);
+
+ /* As in the draft:
+ * When receiving such an array, implementations of curve25519
+ * MUST mask the most-significant bit in the final byte. This
+ * is done to preserve compatibility with point formats which
+ * reserve the sign bit for use in other protocols and to
+ * increase resistance to implementation fingerprinting
+ */
+ m.session[CURVE25519_KEY_SIZE - 1] &= (1 << (255 % 8)) - 1;
+
+ copy_eltfp25519_1w(Px, X1);
+ setzero_eltfp25519_1w(Pz);
+ setzero_eltfp25519_1w(Qx);
+ setzero_eltfp25519_1w(Qz);
+
+ Pz[0] = 1;
+ Qx[0] = 1;
+
+ /* main-loop */
+ prev = 0;
+ j = 62;
+ for (i = 3; i >= 0; --i) {
+ while (j >= 0) {
+ u64 bit = (key[i] >> j) & 0x1;
+ u64 swap = bit ^ prev;
+ prev = bit;
+
+ add_eltfp25519_1w_bmi2(A, X2, Z2); /* A = (X2+Z2) */
+ sub_eltfp25519_1w(B, X2, Z2); /* B = (X2-Z2) */
+ add_eltfp25519_1w_bmi2(C, X3, Z3); /* C = (X3+Z3) */
+ sub_eltfp25519_1w(D, X3, Z3); /* D = (X3-Z3) */
+ mul_eltfp25519_2w_bmi2(DACB, AB, DC); /* [DA|CB] = [A|B]*[D|C] */
+
+ cselect(swap, A, C);
+ cselect(swap, B, D);
+
+ sqr_eltfp25519_2w_bmi2(AB); /* [AA|BB] = [A^2|B^2] */
+ add_eltfp25519_1w_bmi2(X3, DA, CB); /* X3 = (DA+CB) */
+ sub_eltfp25519_1w(Z3, DA, CB); /* Z3 = (DA-CB) */
+ sqr_eltfp25519_2w_bmi2(X3Z3); /* [X3|Z3] = [(DA+CB)|(DA+CB)]^2 */
+
+ copy_eltfp25519_1w(X2, B); /* X2 = B^2 */
+ sub_eltfp25519_1w(Z2, A, B); /* Z2 = E = AA-BB */
+
+ mul_a24_eltfp25519_1w(B, Z2); /* B = a24*E */
+ add_eltfp25519_1w_bmi2(B, B, X2); /* B = a24*E+B */
+ mul_eltfp25519_2w_bmi2(X2Z2, X2Z2, AB); /* [X2|Z2] = [B|E]*[A|a24*E+B] */
+ mul_eltfp25519_1w_bmi2(Z3, Z3, X1); /* Z3 = Z3*X1 */
+ --j;
+ }
+ j = 63;
+ }
+
+ inv_eltfp25519_1w_bmi2(A, Qz);
+ mul_eltfp25519_1w_bmi2((u64 *)shared, Qx, A);
+ fred_eltfp25519_1w((u64 *)shared);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+static void curve25519_bmi2_base(u8 session_key[CURVE25519_KEY_SIZE],
+ const u8 private_key[CURVE25519_KEY_SIZE])
+{
+ struct {
+ u64 buffer[4 * NUM_WORDS_ELTFP25519];
+ u64 coordinates[4 * NUM_WORDS_ELTFP25519];
+ u64 workspace[4 * NUM_WORDS_ELTFP25519];
+ u8 private[CURVE25519_KEY_SIZE];
+ } __aligned(32) m;
+
+ const int ite[4] = { 64, 64, 64, 63 };
+ const int q = 3;
+ u64 swap = 1;
+
+ int i = 0, j = 0, k = 0;
+ u64 *const key = (u64 *)m.private;
+ u64 *const Ur1 = m.coordinates + 0;
+ u64 *const Zr1 = m.coordinates + 4;
+ u64 *const Ur2 = m.coordinates + 8;
+ u64 *const Zr2 = m.coordinates + 12;
+
+ u64 *const UZr1 = m.coordinates + 0;
+ u64 *const ZUr2 = m.coordinates + 8;
+
+ u64 *const A = m.workspace + 0;
+ u64 *const B = m.workspace + 4;
+ u64 *const C = m.workspace + 8;
+ u64 *const D = m.workspace + 12;
+
+ u64 *const AB = m.workspace + 0;
+ u64 *const CD = m.workspace + 8;
+
+ const u64 *const P = table_ladder_8k;
+
+ memcpy(m.private, private_key, sizeof(m.private));
+
+ curve25519_clamp_secret(m.private);
+
+ setzero_eltfp25519_1w(Ur1);
+ setzero_eltfp25519_1w(Zr1);
+ setzero_eltfp25519_1w(Zr2);
+ Ur1[0] = 1;
+ Zr1[0] = 1;
+ Zr2[0] = 1;
+
+ /* G-S */
+ Ur2[3] = 0x1eaecdeee27cab34UL;
+ Ur2[2] = 0xadc7a0b9235d48e2UL;
+ Ur2[1] = 0xbbf095ae14b2edf8UL;
+ Ur2[0] = 0x7e94e1fec82faabdUL;
+
+ /* main-loop */
+ j = q;
+ for (i = 0; i < NUM_WORDS_ELTFP25519; ++i) {
+ while (j < ite[i]) {
+ u64 bit = (key[i] >> j) & 0x1;
+ k = (64 * i + j - q);
+ swap = swap ^ bit;
+ cswap(swap, Ur1, Ur2);
+ cswap(swap, Zr1, Zr2);
+ swap = bit;
+ /* Addition */
+ sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */
+ add_eltfp25519_1w_bmi2(A, Ur1, Zr1); /* A = Ur1+Zr1 */
+ mul_eltfp25519_1w_bmi2(C, &P[4 * k], B);/* C = M0-B */
+ sub_eltfp25519_1w(B, A, C); /* B = (Ur1+Zr1) - M*(Ur1-Zr1) */
+ add_eltfp25519_1w_bmi2(A, A, C); /* A = (Ur1+Zr1) + M*(Ur1-Zr1) */
+ sqr_eltfp25519_2w_bmi2(AB); /* A = A^2 | B = B^2 */
+ mul_eltfp25519_2w_bmi2(UZr1, ZUr2, AB); /* Ur1 = Zr2*A | Zr1 = Ur2*B */
+ ++j;
+ }
+ j = 0;
+ }
+
+ /* Doubling */
+ for (i = 0; i < q; ++i) {
+ add_eltfp25519_1w_bmi2(A, Ur1, Zr1); /* A = Ur1+Zr1 */
+ sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */
+ sqr_eltfp25519_2w_bmi2(AB); /* A = A**2 B = B**2 */
+ copy_eltfp25519_1w(C, B); /* C = B */
+ sub_eltfp25519_1w(B, A, B); /* B = A-B */
+ mul_a24_eltfp25519_1w(D, B); /* D = my_a24*B */
+ add_eltfp25519_1w_bmi2(D, D, C); /* D = D+C */
+ mul_eltfp25519_2w_bmi2(UZr1, AB, CD); /* Ur1 = A*B Zr1 = Zr1*A */
+ }
+
+ /* Convert to affine coordinates */
+ inv_eltfp25519_1w_bmi2(A, Zr1);
+ mul_eltfp25519_1w_bmi2((u64 *)session_key, Ur1, A);
+ fred_eltfp25519_1w((u64 *)session_key);
+
+ memzero_explicit(&m, sizeof(m));
+}
+
+bool curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
+ const u8 secret[CURVE25519_KEY_SIZE],
+ const u8 basepoint[CURVE25519_KEY_SIZE])
+{
+ if (curve25519_use_adx) {
+ curve25519_adx(mypublic, secret, basepoint);
+ return true;
+ } else if (curve25519_use_bmi2) {
+ curve25519_bmi2(mypublic, secret, basepoint);
+ return true;
+ }
+ return false;
+}
+EXPORT_SYMBOL(curve25519_arch);
+
+bool curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
+ const u8 secret[CURVE25519_KEY_SIZE])
+{
+ if (curve25519_use_adx) {
+ curve25519_adx_base(pub, secret);
+ return true;
+ } else if (curve25519_use_bmi2) {
+ curve25519_bmi2_base(pub, secret);
+ return true;
+ }
+ return false;
+}
+EXPORT_SYMBOL(curve25519_base_arch);
+
+static int __init curve25519_mod_init(void)
+{
+ curve25519_use_bmi2 = boot_cpu_has(X86_FEATURE_BMI2);
+ curve25519_use_adx = boot_cpu_has(X86_FEATURE_BMI2) &&
+ boot_cpu_has(X86_FEATURE_ADX);
+
+ return 0;
+}
+
+module_init(curve25519_mod_init);
diff --git a/crypto/Kconfig b/crypto/Kconfig
index ce80c5bd8a4f..9b7789277cd1 100644
--- a/crypto/Kconfig
+++ b/crypto/Kconfig
@@ -274,6 +274,13 @@ config CRYPTO_LIB_CURVE25519
tristate "Curve25519 scalar multiplication library"
depends on CRYPTO_ARCH_HAVE_LIB_CURVE25519 || !CRYPTO_ARCH_HAVE_LIB_CURVE25519
+config CRYPTO_LIB_CURVE25519_X86
+ tristate "x86_64 accelerated Curve25519 scalar multiplication library"
+ depends on X86 && 64BIT
+ select CRYPTO_LIB_CURVE25519
+ select CRYPTO_ARCH_HAVE_LIB_CURVE25519
+ select CRYPTO_ARCH_HAVE_LIB_CURVE25519_BASE
+
comment "Authenticated Encryption with Associated Data"
config CRYPTO_CCM
--
2.17.1
next prev parent reply other threads:[~2019-09-29 17:39 UTC|newest]
Thread overview: 27+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-09-29 17:38 [RFC PATCH 00/20] crypto: wireguard with crypto API library interface Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 01/20] crypto: chacha - move existing library code into lib/crypto Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 02/20] crypto: x86/chacha - expose SIMD ChaCha routine as library function Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 03/20] crypto: arm64/chacha - expose arm64 " Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 04/20] crypto: arm/chacha - expose ARM " Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 05/20] crypto: poly1305 - move into lib/crypto and refactor into library Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 06/20] crypto: x86/poly1305 - expose existing driver as poly1305 library Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 07/20] crypto: arm64/poly1305 - incorporate OpenSSL/CRYPTOGAMS NEON implementation Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 08/20] crypto: arm/poly1305 " Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 09/20] int128: move __uint128_t compiler test to Kconfig Ard Biesheuvel
2019-09-30 11:00 ` Masahiro Yamada
2019-09-30 11:49 ` Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 10/20] crypto: BLAKE2s - generic C library implementation and selftest Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 11/20] crypto: BLAKE2s - x86_64 implementation Ard Biesheuvel
2019-09-30 2:42 ` Jason A. Donenfeld
2019-09-30 2:51 ` Linus Torvalds
2019-09-30 7:35 ` Sebastian Siewior
2019-09-29 17:38 ` [RFC PATCH 12/20] crypto: Curve25519 - generic C library implementations and selftest Ard Biesheuvel
2019-09-29 17:38 ` Ard Biesheuvel [this message]
2019-09-29 17:38 ` [RFC PATCH 14/20] crypto: arm - import Bernstein and Schwabe's Curve25519 ARM implementation Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 15/20] crypto: arm/Curve25519 - wire up NEON implementation Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 16/20] crypto: chacha20poly1305 - import construction and selftest from Zinc Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 17/20] crypto: lib/chacha20poly1305 - reimplement crypt_from_sg() routine Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 18/20] net: WireGuard secure network tunnel Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 19/20] netlink: use new strict length types in policy for 5.2 Ard Biesheuvel
2019-09-29 17:38 ` [RFC PATCH 20/20] wg switch to lib/crypto algos Ard Biesheuvel
2019-09-30 11:51 ` [RFC PATCH 00/20] crypto: wireguard with crypto API library interface Ard Biesheuvel
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