ring/crypto/curve25519/curve25519_tables.h

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/* Copyright (c) 2020, Google Inc.
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
// This file is generated from
// ./make_curve25519_tables.py > curve25519_tables.h
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
static const fe d = {{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
929955233495203, 466365720129213, 1662059464998953, 2033849074728123,
1442794654840575
#else
56195235, 13857412, 51736253, 6949390, 114729, 24766616, 60832955, 30306712,
48412415, 21499315
#endif
}};
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
static const fe sqrtm1 = {{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1718705420411056, 234908883556509, 2233514472574048, 2117202627021982,
765476049583133
#else
34513072, 25610706, 9377949, 3500415, 12389472, 33281959, 41962654,
31548777, 326685, 11406482
#endif
}};
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
static const fe d2 = {{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1859910466990425, 932731440258426, 1072319116312658, 1815898335770999,
633789495995903
#else
45281625, 27714825, 36363642, 13898781, 229458, 15978800, 54557047,
27058993, 29715967, 9444199
#endif
}};
#if defined(OPENSSL_SMALL)
// This block of code replaces the standard base-point table with a much smaller
// one. The standard table is 30,720 bytes while this one is just 960.
//
// This table contains 15 pairs of group elements, (x, y), where each field
// element is serialised with |fe_tobytes|. If |i| is the index of the group
// element then consider i+1 as a four-bit number: (i₀, i₁, i₂, i₃) (where i₀
// is the most significant bit). The value of the group element is then:
// (i₀×2^192 + i₁×2^128 + i₂×2^64 + i₃)G, where G is the generator.
static const uint8_t k25519SmallPrecomp[15 * 2 * 32] = {
0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95,
0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0,
0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21, 0x58, 0x66, 0x66, 0x66,
0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
0x66, 0x66, 0x66, 0x66, 0x02, 0xa2, 0xed, 0xf4, 0x8f, 0x6b, 0x0b, 0x3e,
0xeb, 0x35, 0x1a, 0xd5, 0x7e, 0xdb, 0x78, 0x00, 0x96, 0x8a, 0xa0, 0xb4,
0xcf, 0x60, 0x4b, 0xd4, 0xd5, 0xf9, 0x2d, 0xbf, 0x88, 0xbd, 0x22, 0x62,
0x13, 0x53, 0xe4, 0x82, 0x57, 0xfa, 0x1e, 0x8f, 0x06, 0x2b, 0x90, 0xba,
0x08, 0xb6, 0x10, 0x54, 0x4f, 0x7c, 0x1b, 0x26, 0xed, 0xda, 0x6b, 0xdd,
0x25, 0xd0, 0x4e, 0xea, 0x42, 0xbb, 0x25, 0x03, 0xa2, 0xfb, 0xcc, 0x61,
0x67, 0x06, 0x70, 0x1a, 0xc4, 0x78, 0x3a, 0xff, 0x32, 0x62, 0xdd, 0x2c,
0xab, 0x50, 0x19, 0x3b, 0xf2, 0x9b, 0x7d, 0xb8, 0xfd, 0x4f, 0x29, 0x9c,
0xa7, 0x91, 0xba, 0x0e, 0x46, 0x5e, 0x51, 0xfe, 0x1d, 0xbf, 0xe5, 0xe5,
0x9b, 0x95, 0x0d, 0x67, 0xf8, 0xd1, 0xb5, 0x5a, 0xa1, 0x93, 0x2c, 0xc3,
0xde, 0x0e, 0x97, 0x85, 0x2d, 0x7f, 0xea, 0xab, 0x3e, 0x47, 0x30, 0x18,
0x24, 0xe8, 0xb7, 0x60, 0xae, 0x47, 0x80, 0xfc, 0xe5, 0x23, 0xe7, 0xc2,
0xc9, 0x85, 0xe6, 0x98, 0xa0, 0x29, 0x4e, 0xe1, 0x84, 0x39, 0x2d, 0x95,
0x2c, 0xf3, 0x45, 0x3c, 0xff, 0xaf, 0x27, 0x4c, 0x6b, 0xa6, 0xf5, 0x4b,
0x11, 0xbd, 0xba, 0x5b, 0x9e, 0xc4, 0xa4, 0x51, 0x1e, 0xbe, 0xd0, 0x90,
0x3a, 0x9c, 0xc2, 0x26, 0xb6, 0x1e, 0xf1, 0x95, 0x7d, 0xc8, 0x6d, 0x52,
0xe6, 0x99, 0x2c, 0x5f, 0x9a, 0x96, 0x0c, 0x68, 0x29, 0xfd, 0xe2, 0xfb,
0xe6, 0xbc, 0xec, 0x31, 0x08, 0xec, 0xe6, 0xb0, 0x53, 0x60, 0xc3, 0x8c,
0xbe, 0xc1, 0xb3, 0x8a, 0x8f, 0xe4, 0x88, 0x2b, 0x55, 0xe5, 0x64, 0x6e,
0x9b, 0xd0, 0xaf, 0x7b, 0x64, 0x2a, 0x35, 0x25, 0x10, 0x52, 0xc5, 0x9e,
0x58, 0x11, 0x39, 0x36, 0x45, 0x51, 0xb8, 0x39, 0x93, 0xfc, 0x9d, 0x6a,
0xbe, 0x58, 0xcb, 0xa4, 0x0f, 0x51, 0x3c, 0x38, 0x05, 0xca, 0xab, 0x43,
0x63, 0x0e, 0xf3, 0x8b, 0x41, 0xa6, 0xf8, 0x9b, 0x53, 0x70, 0x80, 0x53,
0x86, 0x5e, 0x8f, 0xe3, 0xc3, 0x0d, 0x18, 0xc8, 0x4b, 0x34, 0x1f, 0xd8,
0x1d, 0xbc, 0xf2, 0x6d, 0x34, 0x3a, 0xbe, 0xdf, 0xd9, 0xf6, 0xf3, 0x89,
0xa1, 0xe1, 0x94, 0x9f, 0x5d, 0x4c, 0x5d, 0xe9, 0xa1, 0x49, 0x92, 0xef,
0x0e, 0x53, 0x81, 0x89, 0x58, 0x87, 0xa6, 0x37, 0xf1, 0xdd, 0x62, 0x60,
0x63, 0x5a, 0x9d, 0x1b, 0x8c, 0xc6, 0x7d, 0x52, 0xea, 0x70, 0x09, 0x6a,
0xe1, 0x32, 0xf3, 0x73, 0x21, 0x1f, 0x07, 0x7b, 0x7c, 0x9b, 0x49, 0xd8,
0xc0, 0xf3, 0x25, 0x72, 0x6f, 0x9d, 0xed, 0x31, 0x67, 0x36, 0x36, 0x54,
0x40, 0x92, 0x71, 0xe6, 0x11, 0x28, 0x11, 0xad, 0x93, 0x32, 0x85, 0x7b,
0x3e, 0xb7, 0x3b, 0x49, 0x13, 0x1c, 0x07, 0xb0, 0x2e, 0x93, 0xaa, 0xfd,
0xfd, 0x28, 0x47, 0x3d, 0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb,
0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, 0x7d, 0x17, 0x7e, 0x1c,
0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b,
0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63,
0x12, 0x7e, 0x02, 0x1d, 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a,
0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61, 0x38, 0x68, 0xb0, 0x07,
0xa3, 0xfc, 0xcc, 0x85, 0x10, 0x7f, 0x4c, 0x65, 0x65, 0xb3, 0xfa, 0xfa,
0xa5, 0x53, 0x6f, 0xdb, 0x74, 0x4c, 0x56, 0x46, 0x03, 0xe2, 0xd5, 0x7a,
0x29, 0x1c, 0xc6, 0x02, 0xbc, 0x59, 0xf2, 0x04, 0x75, 0x63, 0xc0, 0x84,
0x2f, 0x60, 0x1c, 0x67, 0x76, 0xfd, 0x63, 0x86, 0xf3, 0xfa, 0xbf, 0xdc,
0xd2, 0x2d, 0x90, 0x91, 0xbd, 0x33, 0xa9, 0xe5, 0x66, 0x0c, 0xda, 0x42,
0x27, 0xca, 0xf4, 0x66, 0xc2, 0xec, 0x92, 0x14, 0x57, 0x06, 0x63, 0xd0,
0x4d, 0x15, 0x06, 0xeb, 0x69, 0x58, 0x4f, 0x77, 0xc5, 0x8b, 0xc7, 0xf0,
0x8e, 0xed, 0x64, 0xa0, 0xb3, 0x3c, 0x66, 0x71, 0xc6, 0x2d, 0xda, 0x0a,
0x0d, 0xfe, 0x70, 0x27, 0x64, 0xf8, 0x27, 0xfa, 0xf6, 0x5f, 0x30, 0xa5,
0x0d, 0x6c, 0xda, 0xf2, 0x62, 0x5e, 0x78, 0x47, 0xd3, 0x66, 0x00, 0x1c,
0xfd, 0x56, 0x1f, 0x5d, 0x3f, 0x6f, 0xf4, 0x4c, 0xd8, 0xfd, 0x0e, 0x27,
0xc9, 0x5c, 0x2b, 0xbc, 0xc0, 0xa4, 0xe7, 0x23, 0x29, 0x02, 0x9f, 0x31,
0xd6, 0xe9, 0xd7, 0x96, 0xf4, 0xe0, 0x5e, 0x0b, 0x0e, 0x13, 0xee, 0x3c,
0x09, 0xed, 0xf2, 0x3d, 0x76, 0x91, 0xc3, 0xa4, 0x97, 0xae, 0xd4, 0x87,
0xd0, 0x5d, 0xf6, 0x18, 0x47, 0x1f, 0x1d, 0x67, 0xf2, 0xcf, 0x63, 0xa0,
0x91, 0x27, 0xf8, 0x93, 0x45, 0x75, 0x23, 0x3f, 0xd1, 0xf1, 0xad, 0x23,
0xdd, 0x64, 0x93, 0x96, 0x41, 0x70, 0x7f, 0xf7, 0xf5, 0xa9, 0x89, 0xa2,
0x34, 0xb0, 0x8d, 0x1b, 0xae, 0x19, 0x15, 0x49, 0x58, 0x23, 0x6d, 0x87,
0x15, 0x4f, 0x81, 0x76, 0xfb, 0x23, 0xb5, 0xea, 0xcf, 0xac, 0x54, 0x8d,
0x4e, 0x42, 0x2f, 0xeb, 0x0f, 0x63, 0xdb, 0x68, 0x37, 0xa8, 0xcf, 0x8b,
0xab, 0xf5, 0xa4, 0x6e, 0x96, 0x2a, 0xb2, 0xd6, 0xbe, 0x9e, 0xbd, 0x0d,
0xb4, 0x42, 0xa9, 0xcf, 0x01, 0x83, 0x8a, 0x17, 0x47, 0x76, 0xc4, 0xc6,
0x83, 0x04, 0x95, 0x0b, 0xfc, 0x11, 0xc9, 0x62, 0xb8, 0x0c, 0x76, 0x84,
0xd9, 0xb9, 0x37, 0xfa, 0xfc, 0x7c, 0xc2, 0x6d, 0x58, 0x3e, 0xb3, 0x04,
0xbb, 0x8c, 0x8f, 0x48, 0xbc, 0x91, 0x27, 0xcc, 0xf9, 0xb7, 0x22, 0x19,
0x83, 0x2e, 0x09, 0xb5, 0x72, 0xd9, 0x54, 0x1c, 0x4d, 0xa1, 0xea, 0x0b,
0xf1, 0xc6, 0x08, 0x72, 0x46, 0x87, 0x7a, 0x6e, 0x80, 0x56, 0x0a, 0x8a,
0xc0, 0xdd, 0x11, 0x6b, 0xd6, 0xdd, 0x47, 0xdf, 0x10, 0xd9, 0xd8, 0xea,
0x7c, 0xb0, 0x8f, 0x03, 0x00, 0x2e, 0xc1, 0x8f, 0x44, 0xa8, 0xd3, 0x30,
0x06, 0x89, 0xa2, 0xf9, 0x34, 0xad, 0xdc, 0x03, 0x85, 0xed, 0x51, 0xa7,
0x82, 0x9c, 0xe7, 0x5d, 0x52, 0x93, 0x0c, 0x32, 0x9a, 0x5b, 0xe1, 0xaa,
0xca, 0xb8, 0x02, 0x6d, 0x3a, 0xd4, 0xb1, 0x3a, 0xf0, 0x5f, 0xbe, 0xb5,
0x0d, 0x10, 0x6b, 0x38, 0x32, 0xac, 0x76, 0x80, 0xbd, 0xca, 0x94, 0x71,
0x7a, 0xf2, 0xc9, 0x35, 0x2a, 0xde, 0x9f, 0x42, 0x49, 0x18, 0x01, 0xab,
0xbc, 0xef, 0x7c, 0x64, 0x3f, 0x58, 0x3d, 0x92, 0x59, 0xdb, 0x13, 0xdb,
0x58, 0x6e, 0x0a, 0xe0, 0xb7, 0x91, 0x4a, 0x08, 0x20, 0xd6, 0x2e, 0x3c,
0x45, 0xc9, 0x8b, 0x17, 0x79, 0xe7, 0xc7, 0x90, 0x99, 0x3a, 0x18, 0x25,
};
#else
// k25519Precomp[i][j] = (j+1)*256^i*B
const uint8_t k25519Precomp[32][8][3][32] = {
{
{
{0x85, 0x3b, 0x8c, 0xf5, 0xc6, 0x93, 0xbc, 0x2f, 0x19, 0xe, 0x8c,
0xfb, 0xc6, 0x2d, 0x93, 0xcf, 0xc2, 0x42, 0x3d, 0x64, 0x98, 0x48,
0xb, 0x27, 0x65, 0xba, 0xd4, 0x33, 0x3a, 0x9d, 0xcf, 0x7},
{0x3e, 0x91, 0x40, 0xd7, 0x5, 0x39, 0x10, 0x9d, 0xb3, 0xbe, 0x40,
0xd1, 0x5, 0x9f, 0x39, 0xfd, 0x9, 0x8a, 0x8f, 0x68, 0x34, 0x84,
0xc1, 0xa5, 0x67, 0x12, 0xf8, 0x98, 0x92, 0x2f, 0xfd, 0x44},
{0x68, 0xaa, 0x7a, 0x87, 0x5, 0x12, 0xc9, 0xab, 0x9e, 0xc4, 0xaa,
0xcc, 0x23, 0xe8, 0xd9, 0x26, 0x8c, 0x59, 0x43, 0xdd, 0xcb, 0x7d,
0x1b, 0x5a, 0xa8, 0x65, 0xc, 0x9f, 0x68, 0x7b, 0x11, 0x6f},
},
{
{0xd7, 0x71, 0x3c, 0x93, 0xfc, 0xe7, 0x24, 0x92, 0xb5, 0xf5, 0xf,
0x7a, 0x96, 0x9d, 0x46, 0x9f, 0x2, 0x7, 0xd6, 0xe1, 0x65, 0x9a,
0xa6, 0x5a, 0x2e, 0x2e, 0x7d, 0xa8, 0x3f, 0x6, 0xc, 0x59},
{0xa8, 0xd5, 0xb4, 0x42, 0x60, 0xa5, 0x99, 0x8a, 0xf6, 0xac, 0x60,
0x4e, 0xc, 0x81, 0x2b, 0x8f, 0xaa, 0x37, 0x6e, 0xb1, 0x6b, 0x23,
0x9e, 0xe0, 0x55, 0x25, 0xc9, 0x69, 0xa6, 0x95, 0xb5, 0x6b},
{0x5f, 0x7a, 0x9b, 0xa5, 0xb3, 0xa8, 0xfa, 0x43, 0x78, 0xcf, 0x9a,
0x5d, 0xdd, 0x6b, 0xc1, 0x36, 0x31, 0x6a, 0x3d, 0xb, 0x84, 0xa0,
0xf, 0x50, 0x73, 0xb, 0xa5, 0x3e, 0xb1, 0xf5, 0x1a, 0x70},
},
{
{0x30, 0x97, 0xee, 0x4c, 0xa8, 0xb0, 0x25, 0xaf, 0x8a, 0x4b, 0x86,
0xe8, 0x30, 0x84, 0x5a, 0x2, 0x32, 0x67, 0x1, 0x9f, 0x2, 0x50,
0x1b, 0xc1, 0xf4, 0xf8, 0x80, 0x9a, 0x1b, 0x4e, 0x16, 0x7a},
{0x65, 0xd2, 0xfc, 0xa4, 0xe8, 0x1f, 0x61, 0x56, 0x7d, 0xba, 0xc1,
0xe5, 0xfd, 0x53, 0xd3, 0x3b, 0xbd, 0xd6, 0x4b, 0x21, 0x1a, 0xf3,
0x31, 0x81, 0x62, 0xda, 0x5b, 0x55, 0x87, 0x15, 0xb9, 0x2a},
{0x89, 0xd8, 0xd0, 0xd, 0x3f, 0x93, 0xae, 0x14, 0x62, 0xda, 0x35,
0x1c, 0x22, 0x23, 0x94, 0x58, 0x4c, 0xdb, 0xf2, 0x8c, 0x45, 0xe5,
0x70, 0xd1, 0xc6, 0xb4, 0xb9, 0x12, 0xaf, 0x26, 0x28, 0x5a},
},
{
{0x9f, 0x9, 0xfc, 0x8e, 0xb9, 0x51, 0x73, 0x28, 0x38, 0x25, 0xfd,
0x7d, 0xf4, 0xc6, 0x65, 0x67, 0x65, 0x92, 0xa, 0xfb, 0x3d, 0x8d,
0x34, 0xca, 0x27, 0x87, 0xe5, 0x21, 0x3, 0x91, 0xe, 0x68},
{0xbf, 0x18, 0x68, 0x5, 0xa, 0x5, 0xfe, 0x95, 0xa9, 0xfa, 0x60,
0x56, 0x71, 0x89, 0x7e, 0x32, 0x73, 0x50, 0xa0, 0x6, 0xcd, 0xe3,
0xe8, 0xc3, 0x9a, 0xa4, 0x45, 0x74, 0x4c, 0x3f, 0x93, 0x27},
{0x9, 0xff, 0x76, 0xc4, 0xe9, 0xfb, 0x13, 0x5a, 0x72, 0xc1, 0x5c,
0x7b, 0x45, 0x39, 0x9e, 0x6e, 0x94, 0x44, 0x2b, 0x10, 0xf9, 0xdc,
0xdb, 0x5d, 0x2b, 0x3e, 0x55, 0x63, 0xbf, 0xc, 0x9d, 0x7f},
},
{
{0x33, 0xbb, 0xa5, 0x8, 0x44, 0xbc, 0x12, 0xa2, 0x2, 0xed, 0x5e,
0xc7, 0xc3, 0x48, 0x50, 0x8d, 0x44, 0xec, 0xbf, 0x5a, 0xc, 0xeb,
0x1b, 0xdd, 0xeb, 0x6, 0xe2, 0x46, 0xf1, 0xcc, 0x45, 0x29},
{0xba, 0xd6, 0x47, 0xa4, 0xc3, 0x82, 0x91, 0x7f, 0xb7, 0x29, 0x27,
0x4b, 0xd1, 0x14, 0x0, 0xd5, 0x87, 0xa0, 0x64, 0xb8, 0x1c, 0xf1,
0x3c, 0xe3, 0xf3, 0x55, 0x1b, 0xeb, 0x73, 0x7e, 0x4a, 0x15},
{0x85, 0x82, 0x2a, 0x81, 0xf1, 0xdb, 0xbb, 0xbc, 0xfc, 0xd1, 0xbd,
0xd0, 0x7, 0x8, 0xe, 0x27, 0x2d, 0xa7, 0xbd, 0x1b, 0xb, 0x67,
0x1b, 0xb4, 0x9a, 0xb6, 0x3b, 0x6b, 0x69, 0xbe, 0xaa, 0x43},
},
{
{0x31, 0x71, 0x15, 0x77, 0xeb, 0xee, 0xc, 0x3a, 0x88, 0xaf, 0xc8,
0x0, 0x89, 0x15, 0x27, 0x9b, 0x36, 0xa7, 0x59, 0xda, 0x68, 0xb6,
0x65, 0x80, 0xbd, 0x38, 0xcc, 0xa2, 0xb6, 0x7b, 0xe5, 0x51},
{0xa4, 0x8c, 0x7d, 0x7b, 0xb6, 0x6, 0x98, 0x49, 0x39, 0x27, 0xd2,
0x27, 0x84, 0xe2, 0x5b, 0x57, 0xb9, 0x53, 0x45, 0x20, 0xe7, 0x5c,
0x8, 0xbb, 0x84, 0x78, 0x41, 0xae, 0x41, 0x4c, 0xb6, 0x38},
{0x71, 0x4b, 0xea, 0x2, 0x67, 0x32, 0xac, 0x85, 0x1, 0xbb, 0xa1,
0x41, 0x3, 0xe0, 0x70, 0xbe, 0x44, 0xc1, 0x3b, 0x8, 0x4b, 0xa2,
0xe4, 0x53, 0xe3, 0x61, 0xd, 0x9f, 0x1a, 0xe9, 0xb8, 0x10},
},
{
{0xbf, 0xa3, 0x4e, 0x94, 0xd0, 0x5c, 0x1a, 0x6b, 0xd2, 0xc0, 0x9d,
0xb3, 0x3a, 0x35, 0x70, 0x74, 0x49, 0x2e, 0x54, 0x28, 0x82, 0x52,
0xb2, 0x71, 0x7e, 0x92, 0x3c, 0x28, 0x69, 0xea, 0x1b, 0x46},
{0xb1, 0x21, 0x32, 0xaa, 0x9a, 0x2c, 0x6f, 0xba, 0xa7, 0x23, 0xba,
0x3b, 0x53, 0x21, 0xa0, 0x6c, 0x3a, 0x2c, 0x19, 0x92, 0x4f, 0x76,
0xea, 0x9d, 0xe0, 0x17, 0x53, 0x2e, 0x5d, 0xdd, 0x6e, 0x1d},
{0xa2, 0xb3, 0xb8, 0x1, 0xc8, 0x6d, 0x83, 0xf1, 0x9a, 0xa4, 0x3e,
0x5, 0x47, 0x5f, 0x3, 0xb3, 0xf3, 0xad, 0x77, 0x58, 0xba, 0x41,
0x9c, 0x52, 0xa7, 0x90, 0xf, 0x6a, 0x1c, 0xbb, 0x9f, 0x7a},
},
{
{0x8f, 0x3e, 0xdd, 0x4, 0x66, 0x59, 0xb7, 0x59, 0x2c, 0x70, 0x88,
0xe2, 0x77, 0x3, 0xb3, 0x6c, 0x23, 0xc3, 0xd9, 0x5e, 0x66, 0x9c,
0x33, 0xb1, 0x2f, 0xe5, 0xbc, 0x61, 0x60, 0xe7, 0x15, 0x9},
{0xd9, 0x34, 0x92, 0xf3, 0xed, 0x5d, 0xa7, 0xe2, 0xf9, 0x58, 0xb5,
0xe1, 0x80, 0x76, 0x3d, 0x96, 0xfb, 0x23, 0x3c, 0x6e, 0xac, 0x41,
0x27, 0x2c, 0xc3, 0x1, 0xe, 0x32, 0xa1, 0x24, 0x90, 0x3a},
{0x1a, 0x91, 0xa2, 0xc9, 0xd9, 0xf5, 0xc1, 0xe7, 0xd7, 0xa7, 0xcc,
0x8b, 0x78, 0x71, 0xa3, 0xb8, 0x32, 0x2a, 0xb6, 0xe, 0x19, 0x12,
0x64, 0x63, 0x95, 0x4e, 0xcc, 0x2e, 0x5c, 0x7c, 0x90, 0x26},
},
},
{
{
{0x1d, 0x9c, 0x2f, 0x63, 0xe, 0xdd, 0xcc, 0x2e, 0x15, 0x31, 0x89,
0x76, 0x96, 0xb6, 0xd0, 0x51, 0x58, 0x7a, 0x63, 0xa8, 0x6b, 0xb7,
0xdf, 0x52, 0x39, 0xef, 0xe, 0xa0, 0x49, 0x7d, 0xd3, 0x6d},
{0x5e, 0x51, 0xaa, 0x49, 0x54, 0x63, 0x5b, 0xed, 0x3a, 0x82, 0xc6,
0xb, 0x9f, 0xc4, 0x65, 0xa8, 0xc4, 0xd1, 0x42, 0x5b, 0xe9, 0x1f,
0xc, 0x85, 0xb9, 0x15, 0xd3, 0x3, 0x6f, 0x6d, 0xd7, 0x30},
{0xc7, 0xe4, 0x6, 0x21, 0x17, 0x44, 0x44, 0x6c, 0x69, 0x7f, 0x8d,
0x92, 0x80, 0xd6, 0x53, 0xfb, 0x26, 0x3f, 0x4d, 0x69, 0xa4, 0x9e,
0x73, 0xb4, 0xb0, 0x4b, 0x86, 0x2e, 0x11, 0x97, 0xc6, 0x10},
},
{
{0x5, 0xc8, 0x58, 0x83, 0xa0, 0x2a, 0xa6, 0xc, 0x47, 0x42, 0x20,
0x7a, 0xe3, 0x4a, 0x3d, 0x6a, 0xdc, 0xed, 0x11, 0x3b, 0xa6, 0xd3,
0x64, 0x74, 0xef, 0x6, 0x8, 0x55, 0xaf, 0x9b, 0xbf, 0x3},
{0xde, 0x5f, 0xbe, 0x7d, 0x27, 0xc4, 0x93, 0x64, 0xa2, 0x7e, 0xad,
0x19, 0xad, 0x4f, 0x5d, 0x26, 0x90, 0x45, 0x30, 0x46, 0xc8, 0xdf,
0x0, 0xe, 0x9, 0xfe, 0x66, 0xed, 0xab, 0x1c, 0xe6, 0x25},
{0x4, 0x66, 0x58, 0xcc, 0x28, 0xe1, 0x13, 0x3f, 0x7e, 0x74, 0x59,
0xb4, 0xec, 0x73, 0x58, 0x6f, 0xf5, 0x68, 0x12, 0xcc, 0xed, 0x3d,
0xb6, 0xa0, 0x2c, 0xe2, 0x86, 0x45, 0x63, 0x78, 0x6d, 0x56},
},
{
{0xd0, 0x2f, 0x5a, 0xc6, 0x85, 0x42, 0x5, 0xa1, 0xc3, 0x67, 0x16,
0xf3, 0x2a, 0x11, 0x64, 0x6c, 0x58, 0xee, 0x1a, 0x73, 0x40, 0xe2,
0xa, 0x68, 0x2a, 0xb2, 0x93, 0x47, 0xf3, 0xa5, 0xfb, 0x14},
{0x34, 0x8, 0xc1, 0x9c, 0x9f, 0xa4, 0x37, 0x16, 0x51, 0xc4, 0x9b,
0xa8, 0xd5, 0x56, 0x8e, 0xbc, 0xdb, 0xd2, 0x7f, 0x7f, 0xf, 0xec,
0xb5, 0x1c, 0xd9, 0x35, 0xcc, 0x5e, 0xca, 0x5b, 0x97, 0x33},
{0xd4, 0xf7, 0x85, 0x69, 0x16, 0x46, 0xd7, 0x3c, 0x57, 0x0, 0xc8,
0xc9, 0x84, 0x5e, 0x3e, 0x59, 0x1e, 0x13, 0x61, 0x7b, 0xb6, 0xf2,
0xc3, 0x2f, 0x6c, 0x52, 0xfc, 0x83, 0xea, 0x9c, 0x82, 0x14},
},
{
{0xb8, 0xec, 0x71, 0x4e, 0x2f, 0xb, 0xe7, 0x21, 0xe3, 0x77, 0xa4,
0x40, 0xb9, 0xdd, 0x56, 0xe6, 0x80, 0x4f, 0x1d, 0xce, 0xce, 0x56,
0x65, 0xbf, 0x7e, 0x7b, 0x5d, 0x53, 0xc4, 0x3b, 0xfc, 0x5},
{0xc2, 0x95, 0xdd, 0x97, 0x84, 0x7b, 0x43, 0xff, 0xa7, 0xb5, 0x4e,
0xaa, 0x30, 0x4e, 0x74, 0x6c, 0x8b, 0xe8, 0x85, 0x3c, 0x61, 0x5d,
0xc, 0x9e, 0x73, 0x81, 0x75, 0x5f, 0x1e, 0xc7, 0xd9, 0x2f},
{0xdd, 0xde, 0xaf, 0x52, 0xae, 0xb3, 0xb8, 0x24, 0xcf, 0x30, 0x3b,
0xed, 0x8c, 0x63, 0x95, 0x34, 0x95, 0x81, 0xbe, 0xa9, 0x83, 0xbc,
0xa4, 0x33, 0x4, 0x1f, 0x65, 0x5c, 0x47, 0x67, 0x37, 0x37},
},
{
{0x90, 0x65, 0x24, 0x14, 0xcb, 0x95, 0x40, 0x63, 0x35, 0x55, 0xc1,
0x16, 0x40, 0x14, 0x12, 0xef, 0x60, 0xbc, 0x10, 0x89, 0xc, 0x14,
0x38, 0x9e, 0x8c, 0x7c, 0x90, 0x30, 0x57, 0x90, 0xf5, 0x6b},
{0xd9, 0xad, 0xd1, 0x40, 0xfd, 0x99, 0xba, 0x2f, 0x27, 0xd0, 0xf4,
0x96, 0x6f, 0x16, 0x7, 0xb3, 0xae, 0x3b, 0xf0, 0x15, 0x52, 0xf0,
0x63, 0x43, 0x99, 0xf9, 0x18, 0x3b, 0x6c, 0xa5, 0xbe, 0x1f},
{0x8a, 0x5b, 0x41, 0xe1, 0xf1, 0x78, 0xa7, 0xf, 0x7e, 0xa7, 0xc3,
0xba, 0xf7, 0x9f, 0x40, 0x6, 0x50, 0x9a, 0xa2, 0x9a, 0xb8, 0xd7,
0x52, 0x6f, 0x56, 0x5a, 0x63, 0x7a, 0xf6, 0x1c, 0x52, 0x2},
},
{
{0xe4, 0x5e, 0x2f, 0x77, 0x20, 0x67, 0x14, 0xb1, 0xce, 0x9a, 0x7,
0x96, 0xb1, 0x94, 0xf8, 0xe8, 0x4a, 0x82, 0xac, 0x0, 0x4d, 0x22,
0xf8, 0x4a, 0xc4, 0x6c, 0xcd, 0xf7, 0xd9, 0x53, 0x17, 0x0},
{0x94, 0x52, 0x9d, 0xa, 0xb, 0xee, 0x3f, 0x51, 0x66, 0x5a, 0xdf,
0xf, 0x5c, 0xe7, 0x98, 0x8f, 0xce, 0x7, 0xe1, 0xbf, 0x88, 0x86,
0x61, 0xd4, 0xed, 0x2c, 0x38, 0x71, 0x7e, 0xa, 0xa0, 0x3f},
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{
{
{0x83, 0x3, 0x73, 0x62, 0x93, 0xf2, 0xb7, 0xe1, 0x2c, 0x8a, 0xca,
0xeb, 0xff, 0x79, 0x52, 0x4b, 0x14, 0x13, 0xd4, 0xbf, 0x8a, 0x77,
0xfc, 0xda, 0xf, 0x61, 0x72, 0x9c, 0x14, 0x10, 0xeb, 0x7d},
{0x75, 0x74, 0x38, 0x8f, 0x47, 0x48, 0xf0, 0x51, 0x3c, 0xcb, 0xbe,
0x9c, 0xf4, 0xbc, 0x5d, 0xb2, 0x55, 0x20, 0x9f, 0xd9, 0x44, 0x12,
0xab, 0x9a, 0xd6, 0xa5, 0x10, 0x1c, 0x6c, 0x9e, 0x70, 0x2c},
{0x7a, 0xee, 0x66, 0x87, 0x6a, 0xaf, 0x62, 0xcb, 0xe, 0xcd, 0x53,
0x55, 0x4, 0xec, 0xcb, 0x66, 0xb5, 0xe4, 0xb, 0xf, 0x38, 0x1,
0x80, 0x58, 0xea, 0xe2, 0x2c, 0xf6, 0x9f, 0x8e, 0xe6, 0x8},
},
{
{0xf9, 0xf2, 0xb8, 0xa, 0xd5, 0x9, 0x2d, 0x2f, 0xdf, 0x23, 0x59,
0xc5, 0x8d, 0x21, 0xb9, 0xac, 0xb9, 0x6c, 0x76, 0x73, 0x26, 0x34,
0x8f, 0x4a, 0xf5, 0x19, 0xf7, 0x38, 0xd7, 0x3b, 0xb1, 0x4c},
{0xad, 0x30, 0xc1, 0x4b, 0xa, 0x50, 0xad, 0x34, 0x9c, 0xd4, 0xb,
0x3d, 0x49, 0xdb, 0x38, 0x8d, 0xbe, 0x89, 0xa, 0x50, 0x98, 0x3d,
0x5c, 0xa2, 0x9, 0x3b, 0xba, 0xee, 0x87, 0x3f, 0x1f, 0x2f},
{0x4a, 0xb6, 0x15, 0xe5, 0x75, 0x8c, 0x84, 0xf7, 0x38, 0x90, 0x4a,
0xdb, 0xba, 0x1, 0x95, 0xa5, 0x50, 0x1b, 0x75, 0x3f, 0x3f, 0x31,
0xd, 0xc2, 0xe8, 0x2e, 0xae, 0xc0, 0x53, 0xe3, 0xa1, 0x19},
},
{
{0xbd, 0xbd, 0x96, 0xd5, 0xcd, 0x72, 0x21, 0xb4, 0x40, 0xfc, 0xee,
0x98, 0x43, 0x45, 0xe0, 0x93, 0xb5, 0x9, 0x41, 0xb4, 0x47, 0x53,
0xb1, 0x9f, 0x34, 0xae, 0x66, 0x2, 0x99, 0xd3, 0x6b, 0x73},
{0xc3, 0x5, 0xfa, 0xba, 0x60, 0x75, 0x1c, 0x7d, 0x61, 0x5e, 0xe5,
0xc6, 0xa0, 0xa0, 0xe1, 0xb3, 0x73, 0x64, 0xd6, 0xc0, 0x18, 0x97,
0x52, 0xe3, 0x86, 0x34, 0xc, 0xc2, 0x11, 0x6b, 0x54, 0x41},
{0xb4, 0xb3, 0x34, 0x93, 0x50, 0x2d, 0x53, 0x85, 0x73, 0x65, 0x81,
0x60, 0x4b, 0x11, 0xfd, 0x46, 0x75, 0x83, 0x5c, 0x42, 0x30, 0x5f,
0x5f, 0xcc, 0x5c, 0xab, 0x7f, 0xb8, 0xa2, 0x95, 0x22, 0x41},
},
{
{0xc6, 0xea, 0x93, 0xe2, 0x61, 0x52, 0x65, 0x2e, 0xdb, 0xac, 0x33,
0x21, 0x3, 0x92, 0x5a, 0x84, 0x6b, 0x99, 0x0, 0x79, 0xcb, 0x75,
0x9, 0x46, 0x80, 0xdd, 0x5a, 0x19, 0x8d, 0xbb, 0x60, 0x7},
{0xe9, 0xd6, 0x7e, 0xf5, 0x88, 0x9b, 0xc9, 0x19, 0x25, 0xc8, 0xf8,
0x6d, 0x26, 0xcb, 0x93, 0x53, 0x73, 0xd2, 0xa, 0xb3, 0x13, 0x32,
0xee, 0x5c, 0x34, 0x2e, 0x2d, 0xb5, 0xeb, 0x53, 0xe1, 0x14},
{0x8a, 0x81, 0xe6, 0xcd, 0x17, 0x1a, 0x3e, 0x41, 0x84, 0xa0, 0x69,
0xed, 0xa9, 0x6d, 0x15, 0x57, 0xb1, 0xcc, 0xca, 0x46, 0x8f, 0x26,
0xbf, 0x2c, 0xf2, 0xc5, 0x3a, 0xc3, 0x9b, 0xbe, 0x34, 0x6b},
},
{
{0xd3, 0xf2, 0x71, 0x65, 0x65, 0x69, 0xfc, 0x11, 0x7a, 0x73, 0xe,
0x53, 0x45, 0xe8, 0xc9, 0xc6, 0x35, 0x50, 0xfe, 0xd4, 0xa2, 0xe7,
0x3a, 0xe3, 0xb, 0xd3, 0x6d, 0x2e, 0xb6, 0xc7, 0xb9, 0x1},
{0xb2, 0xc0, 0x78, 0x3a, 0x64, 0x2f, 0xdf, 0xf3, 0x7c, 0x2, 0x2e,
0xf2, 0x1e, 0x97, 0x3e, 0x4c, 0xa3, 0xb5, 0xc1, 0x49, 0x5e, 0x1c,
0x7d, 0xec, 0x2d, 0xdd, 0x22, 0x9, 0x8f, 0xc1, 0x12, 0x20},
{0x29, 0x9d, 0xc8, 0x5a, 0xe5, 0x55, 0xb, 0x88, 0x63, 0xa7, 0xa0,
0x45, 0x1f, 0x24, 0x83, 0x14, 0x1f, 0x6c, 0xe7, 0xc2, 0xdf, 0xef,
0x36, 0x3d, 0xe8, 0xad, 0x4b, 0x4e, 0x78, 0x5b, 0xaf, 0x8},
},
{
{0x4b, 0x2c, 0xcc, 0x89, 0xd2, 0x14, 0x73, 0xe2, 0x8d, 0x17, 0x87,
0xa2, 0x11, 0xbd, 0xe4, 0x4b, 0xce, 0x64, 0x33, 0xfa, 0xd6, 0x28,
0xd5, 0x18, 0x6e, 0x82, 0xd9, 0xaf, 0xd5, 0xc1, 0x23, 0x64},
{0x33, 0x25, 0x1f, 0x88, 0xdc, 0x99, 0x34, 0x28, 0xb6, 0x23, 0x93,
0x77, 0xda, 0x25, 0x5, 0x9d, 0xf4, 0x41, 0x34, 0x67, 0xfb, 0xdd,
0x7a, 0x89, 0x8d, 0x16, 0x3a, 0x16, 0x71, 0x9d, 0xb7, 0x32},
{0x6a, 0xb3, 0xfc, 0xed, 0xd9, 0xf8, 0x85, 0xcc, 0xf9, 0xe5, 0x46,
0x37, 0x8f, 0xc2, 0xbc, 0x22, 0xcd, 0xd3, 0xe5, 0xf9, 0x38, 0xe3,
0x9d, 0xe4, 0xcc, 0x2d, 0x3e, 0xc1, 0xfb, 0x5e, 0xa, 0x48},
},
{
{0x1f, 0x22, 0xce, 0x42, 0xe4, 0x4c, 0x61, 0xb6, 0x28, 0x39, 0x5,
0x4c, 0xcc, 0x9d, 0x19, 0x6e, 0x3, 0xbe, 0x1c, 0xdc, 0xa4, 0xb4,
0x3f, 0x66, 0x6, 0x8e, 0x1c, 0x69, 0x47, 0x1d, 0xb3, 0x24},
{0x71, 0x20, 0x62, 0x1, 0xb, 0xe7, 0x51, 0xb, 0xc5, 0xaf, 0x1d,
0x8b, 0xcf, 0x5, 0xb5, 0x6, 0xcd, 0xab, 0x5a, 0xef, 0x61, 0xb0,
0x6b, 0x2c, 0x31, 0xbf, 0xb7, 0xc, 0x60, 0x27, 0xaa, 0x47},
{0xc3, 0xf8, 0x15, 0xc0, 0xed, 0x1e, 0x54, 0x2a, 0x7c, 0x3f, 0x69,
0x7c, 0x7e, 0xfe, 0xa4, 0x11, 0xd6, 0x78, 0xa2, 0x4e, 0x13, 0x66,
0xaf, 0xf0, 0x94, 0xa0, 0xdd, 0x14, 0x5d, 0x58, 0x5b, 0x54},
},
{
{0xe1, 0x21, 0xb3, 0xe3, 0xd0, 0xe4, 0x4, 0x62, 0x95, 0x1e, 0xff,
0x28, 0x7a, 0x63, 0xaa, 0x3b, 0x9e, 0xbd, 0x99, 0x5b, 0xfd, 0xcf,
0xc, 0xb, 0x71, 0xd0, 0xc8, 0x64, 0x3e, 0xdc, 0x22, 0x4d},
{0xf, 0x3a, 0xd4, 0xa0, 0x5e, 0x27, 0xbf, 0x67, 0xbe, 0xee, 0x9b,
0x8, 0x34, 0x8e, 0xe6, 0xad, 0x2e, 0xe7, 0x79, 0xd4, 0x4c, 0x13,
0x89, 0x42, 0x54, 0x54, 0xba, 0x32, 0xc3, 0xf9, 0x62, 0xf},
{0x39, 0x5f, 0x3b, 0xd6, 0x89, 0x65, 0xb4, 0xfc, 0x61, 0xcf, 0xcb,
0x57, 0x3f, 0x6a, 0xae, 0x5c, 0x5, 0xfa, 0x3a, 0x95, 0xd2, 0xc2,
0xba, 0xfe, 0x36, 0x14, 0x37, 0x36, 0x1a, 0xa0, 0xf, 0x1c},
},
},
{
{
{0x50, 0x6a, 0x93, 0x8c, 0xe, 0x2b, 0x8, 0x69, 0xb6, 0xc5, 0xda,
0xc1, 0x35, 0xa0, 0xc9, 0xf9, 0x34, 0xb6, 0xdf, 0xc4, 0x54, 0x3e,
0xb7, 0x6f, 0x40, 0xc1, 0x2b, 0x1d, 0x9b, 0x41, 0x5, 0x40},
{0xff, 0x3d, 0x94, 0x22, 0xb6, 0x4, 0xc6, 0xd2, 0xa0, 0xb3, 0xcf,
0x44, 0xce, 0xbe, 0x8c, 0xbc, 0x78, 0x86, 0x80, 0x97, 0xf3, 0x4f,
0x25, 0x5d, 0xbf, 0xa6, 0x1c, 0x3b, 0x4f, 0x61, 0xa3, 0xf},
{0xf0, 0x82, 0xbe, 0xb9, 0xbd, 0xfe, 0x3, 0xa0, 0x90, 0xac, 0x44,
0x3a, 0xaf, 0xc1, 0x89, 0x20, 0x8e, 0xfa, 0x54, 0x19, 0x91, 0x9f,
0x49, 0xf8, 0x42, 0xab, 0x40, 0xef, 0x8a, 0x21, 0xba, 0x1f},
},
{
{0x94, 0x1, 0x7b, 0x3e, 0x4, 0x57, 0x3e, 0x4f, 0x7f, 0xaf, 0xda,
0x8, 0xee, 0x3e, 0x1d, 0xa8, 0xf1, 0xde, 0xdc, 0x99, 0xab, 0xc6,
0x39, 0xc8, 0xd5, 0x61, 0x77, 0xff, 0x13, 0x5d, 0x53, 0x6c},
{0x3e, 0xf5, 0xc8, 0xfa, 0x48, 0x94, 0x54, 0xab, 0x41, 0x37, 0xa6,
0x7b, 0x9a, 0xe8, 0xf6, 0x81, 0x1, 0x5e, 0x2b, 0x6c, 0x7d, 0x6c,
0xfd, 0x74, 0x42, 0x6e, 0xc8, 0xa8, 0xca, 0x3a, 0x2e, 0x39},
{0xaf, 0x35, 0x8a, 0x3e, 0xe9, 0x34, 0xbd, 0x4c, 0x16, 0xe8, 0x87,
0x58, 0x44, 0x81, 0x7, 0x2e, 0xab, 0xb0, 0x9a, 0xf2, 0x76, 0x9c,
0x31, 0x19, 0x3b, 0xc1, 0xa, 0xd5, 0xe4, 0x7f, 0xe1, 0x25},
},
{
{0xa7, 0x21, 0xf1, 0x76, 0xf5, 0x7f, 0x5f, 0x91, 0xe3, 0x87, 0xcd,
0x2f, 0x27, 0x32, 0x4a, 0xc3, 0x26, 0xe5, 0x1b, 0x4d, 0xde, 0x2f,
0xba, 0xcc, 0x9b, 0x89, 0x69, 0x89, 0x8f, 0x82, 0xba, 0x6b},
{0x76, 0xf6, 0x4, 0x1e, 0xd7, 0x9b, 0x28, 0xa, 0x95, 0xf, 0x42,
0xd6, 0x52, 0x1c, 0x8e, 0x20, 0xab, 0x1f, 0x69, 0x34, 0xb0, 0xd8,
0x86, 0x51, 0x51, 0xb3, 0x9f, 0x2a, 0x44, 0x51, 0x57, 0x25},
{0x1, 0x39, 0xfe, 0x90, 0x66, 0xbc, 0xd1, 0xe2, 0xd5, 0x7a, 0x99,
0xa0, 0x18, 0x4a, 0xb5, 0x4c, 0xd4, 0x60, 0x84, 0xaf, 0x14, 0x69,
0x1d, 0x97, 0xe4, 0x7b, 0x6b, 0x7f, 0x4f, 0x50, 0x9d, 0x55},
},
{
{0xfd, 0x66, 0xd2, 0xf6, 0xe7, 0x91, 0x48, 0x9c, 0x1b, 0x78, 0x7,
0x3, 0x9b, 0xa1, 0x44, 0x7, 0x3b, 0xe2, 0x61, 0x60, 0x1d, 0x8f,
0x38, 0x88, 0xe, 0xd5, 0x4b, 0x35, 0xa3, 0xa6, 0x3e, 0x12},
{0xd5, 0x54, 0xeb, 0xb3, 0x78, 0x83, 0x73, 0xa7, 0x7c, 0x3c, 0x55,
0xa5, 0x66, 0xd3, 0x69, 0x1d, 0xba, 0x0, 0x28, 0xf9, 0x62, 0xcf,
0x26, 0xa, 0x17, 0x32, 0x7e, 0x80, 0xd5, 0x12, 0xab, 0x1},
{0x96, 0x2d, 0xe3, 0x41, 0x90, 0x18, 0x8d, 0x11, 0x48, 0x58, 0x31,
0xd8, 0xc2, 0xe3, 0xed, 0xb9, 0xd9, 0x45, 0x32, 0xd8, 0x71, 0x42,
0xab, 0x1e, 0x54, 0xa1, 0x18, 0xc9, 0xe2, 0x61, 0x39, 0x4a},
},
{
{0x1e, 0x3f, 0x23, 0xf3, 0x44, 0xd6, 0x27, 0x3, 0x16, 0xf0, 0xfc,
0x34, 0xe, 0x26, 0x9a, 0x49, 0x79, 0xb9, 0xda, 0xf2, 0x16, 0xa7,
0xb5, 0x83, 0x1f, 0x11, 0xd4, 0x9b, 0xad, 0xee, 0xac, 0x68},
{0xa0, 0xbb, 0xe6, 0xf8, 0xe0, 0x3b, 0xdc, 0x71, 0xa, 0xe3, 0xff,
0x7e, 0x34, 0xf8, 0xce, 0xd6, 0x6a, 0x47, 0x3a, 0xe1, 0x5f, 0x42,
0x92, 0xa9, 0x63, 0xb7, 0x1d, 0xfb, 0xe3, 0xbc, 0xd6, 0x2c},
{0x10, 0xc2, 0xd7, 0xf3, 0xe, 0xc9, 0xb4, 0x38, 0xc, 0x4, 0xad,
0xb7, 0x24, 0x6e, 0x8e, 0x30, 0x23, 0x3e, 0xe7, 0xb7, 0xf1, 0xd9,
0x60, 0x38, 0x97, 0xf5, 0x8, 0xb5, 0xd5, 0x60, 0x57, 0x59},
},
{
{0x90, 0x27, 0x2, 0xfd, 0xeb, 0xcb, 0x2a, 0x88, 0x60, 0x57, 0x11,
0xc4, 0x5, 0x33, 0xaf, 0x89, 0xf4, 0x73, 0x34, 0x7d, 0xe3, 0x92,
0xf4, 0x65, 0x2b, 0x5a, 0x51, 0x54, 0xdf, 0xc5, 0xb2, 0x2c},
{0x97, 0x63, 0xaa, 0x4, 0xe1, 0xbf, 0x29, 0x61, 0xcb, 0xfc, 0xa7,
0xa4, 0x8, 0x0, 0x96, 0x8f, 0x58, 0x94, 0x90, 0x7d, 0x89, 0xc0,
0x8b, 0x3f, 0xa9, 0x91, 0xb2, 0xdc, 0x3e, 0xa4, 0x9f, 0x70},
{0xca, 0x2a, 0xfd, 0x63, 0x8c, 0x5d, 0xa, 0xeb, 0xff, 0x4e, 0x69,
0x2e, 0x66, 0xc1, 0x2b, 0xd2, 0x3a, 0xb0, 0xcb, 0xf8, 0x6e, 0xf3,
0x23, 0x27, 0x1f, 0x13, 0xc8, 0xf0, 0xec, 0x29, 0xf0, 0x70},
},
{
{0xb9, 0xb0, 0x10, 0x5e, 0xaa, 0xaf, 0x6a, 0x2a, 0xa9, 0x1a, 0x4,
0xef, 0x70, 0xa3, 0xf0, 0x78, 0x1f, 0xd6, 0x3a, 0xaa, 0x77, 0xfb,
0x3e, 0x77, 0xe1, 0xd9, 0x4b, 0xa7, 0xa2, 0xa5, 0xec, 0x44},
{0x33, 0x3e, 0xed, 0x2e, 0xb3, 0x7, 0x13, 0x46, 0xe7, 0x81, 0x55,
0xa4, 0x33, 0x2f, 0x4, 0xae, 0x66, 0x3, 0x5f, 0x19, 0xd3, 0x49,
0x44, 0xc9, 0x58, 0x48, 0x31, 0x6c, 0x8a, 0x5d, 0x7d, 0xb},
{0x43, 0xd5, 0x95, 0x7b, 0x32, 0x48, 0xd4, 0x25, 0x1d, 0xf, 0x34,
0xa3, 0x0, 0x83, 0xd3, 0x70, 0x2b, 0xc5, 0xe1, 0x60, 0x1c, 0x53,
0x1c, 0xde, 0xe4, 0xe9, 0x7d, 0x2c, 0x51, 0x24, 0x22, 0x27},
},
{
{0xfc, 0x75, 0xa9, 0x42, 0x8a, 0xbb, 0x7b, 0xbf, 0x58, 0xa3, 0xad,
0x96, 0x77, 0x39, 0x5c, 0x8c, 0x48, 0xaa, 0xed, 0xcd, 0x6f, 0xc7,
0x7f, 0xe2, 0xa6, 0x20, 0xbc, 0xf6, 0xd7, 0x5f, 0x73, 0x19},
{0x2e, 0x34, 0xc5, 0x49, 0xaf, 0x92, 0xbc, 0x1a, 0xd0, 0xfa, 0xe6,
0xb2, 0x11, 0xd8, 0xee, 0xff, 0x29, 0x4e, 0xc8, 0xfc, 0x8d, 0x8c,
0xa2, 0xef, 0x43, 0xc5, 0x4c, 0xa4, 0x18, 0xdf, 0xb5, 0x11},
{0x66, 0x42, 0xc8, 0x42, 0xd0, 0x90, 0xab, 0xe3, 0x7e, 0x54, 0x19,
0x7f, 0xf, 0x8e, 0x84, 0xeb, 0xb9, 0x97, 0xa4, 0x65, 0xd0, 0xa1,
0x3, 0x25, 0x5f, 0x89, 0xdf, 0x91, 0x11, 0x91, 0xef, 0xf},
},
},
};
#endif // OPENSSL_SMALL
// Bi[i] = (2*i+1)*B
static const ge_precomp Bi[8] = {
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1288382639258501, 245678601348599, 269427782077623,
1462984067271730, 137412439391563
#else
25967493, 19198397, 29566455, 3660896, 54414519, 4014786, 27544626,
21800161, 61029707, 2047604
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
62697248952638, 204681361388450, 631292143396476, 338455783676468,
1213667448819585
#else
54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692,
5043384, 19500929, 18085054
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
301289933810280, 1259582250014073, 1422107436869536,
796239922652654, 1953934009299142
#else
58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918,
11864899, 42594502, 29115885
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1601611775252272, 1720807796594148, 1132070835939856,
1260455018889551, 2147779492816911
#else
15636272, 23865875, 24204772, 25642034, 616976, 16869170, 27787599,
18782243, 28944399, 32004408
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
316559037616741, 2177824224946892, 1459442586438991,
1461528397712656, 751590696113597
#else
16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576,
21778470, 7689661, 11199574
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1850748884277385, 1200145853858453, 1068094770532492,
672251375690438, 1586055907191707
#else
30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774,
10017326, 49359771, 23634074
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
769950342298419, 132954430919746, 844085933195555, 974092374476333,
726076285546016
#else
10861363, 11473154, 27284546, 1981175, 37044515, 12577860, 32867885,
14515107, 51670560, 10819379
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
425251763115706, 608463272472562, 442562545713235, 837766094556764,
374555092627893
#else
4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196,
12483687, 54440373, 5581305
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1086255230780037, 274979815921559, 1960002765731872,
929474102396301, 1190409889297339
#else
19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349,
13850243, 43430843, 17738489
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
665000864555967, 2065379846933859, 370231110385876, 350988370788628,
1233371373142985
#else
5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852,
5230134, 43156425, 18378665
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
2019367628972465, 676711900706637, 110710997811333,
1108646842542025, 517791959672113
#else
36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025,
16520125, 30598449, 7715701
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
965130719900578, 247011430587952, 526356006571389, 91986625355052,
2157223321444601
#else
28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204,
1370707, 29794553, 32145132
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1802695059465007, 1664899123557221, 593559490740857,
2160434469266659, 927570450755031
#else
44589871, 26862249, 14201701, 24808930, 43598457, 8844725, 18474211,
32192982, 54046167, 13821876
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1725674970513508, 1933645953859181, 1542344539275782,
1767788773573747, 1297447965928905
#else
60653668, 25714560, 3374701, 28813570, 40010246, 22982724, 31655027,
26342105, 18853321, 19333481
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1381809363726107, 1430341051343062, 2061843536018959,
1551778050872521, 2036394857967624
#else
4566811, 20590564, 38133974, 21313742, 59506191, 30723862, 58594505,
23123294, 2207752, 30344648
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1970894096313054, 528066325833207, 1619374932191227,
2207306624415883, 1169170329061080
#else
41954014, 29368610, 29681143, 7868801, 60254203, 24130566, 54671499,
32891431, 35997400, 17421995
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
2070390218572616, 1458919061857835, 624171843017421,
1055332792707765, 433987520732508
#else
25576264, 30851218, 7349803, 21739588, 16472781, 9300885, 3844789,
15725684, 171356, 6466918
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
893653801273833, 1168026499324677, 1242553501121234,
1306366254304474, 1086752658510815
#else
23103977, 13316479, 9739013, 17404951, 817874, 18515490, 8965338,
19466374, 36393951, 16193876
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
213454002618221, 939771523987438, 1159882208056014, 317388369627517,
621213314200687
#else
33587053, 3180712, 64714734, 14003686, 50205390, 17283591, 17238397,
4729455, 49034351, 9256799
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1971678598905747, 338026507889165, 762398079972271, 655096486107477,
42299032696322
#else
41926547, 29380300, 32336397, 5036987, 45872047, 11360616, 22616405,
9761698, 47281666, 630304
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
177130678690680, 1754759263300204, 1864311296286618,
1180675631479880, 1292726903152791
#else
53388152, 2639452, 42871404, 26147950, 9494426, 27780403, 60554312,
17593437, 64659607, 19263131
#endif
}},
},
{
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1913163449625248, 460779200291993, 2193883288642314,
1008900146920800, 1721983679009502
#else
63957664, 28508356, 9282713, 6866145, 35201802, 32691408, 48168288,
15033783, 25105118, 25659556
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
1070401523076875, 1272492007800961, 1910153608563310,
2075579521696771, 1191169788841221
#else
42782475, 15950225, 35307649, 18961608, 55446126, 28463506, 1573891,
30928545, 2198789, 17749813
#endif
}},
{{
#if defined(OPENSSL_64_BIT)
Use 51-bit limbs from fiat-crypto in 64-bit. Our 64-bit performance was much lower than it could have been, since we weren't using the 64-bit multipliers. Fortunately, fiat-crypto is awesome, so this is just a matter of synthesizing new code and integration work. Functions without the signature fiat-crypto curly braces were written by hand and warrant more review. (It's just redistributing some bits.) These use the donna variants which takes (and proves) some of the instruction scheduling from donna as that's significantly faster. Glancing over things, I suspect but have not confirmed the gap is due to this: https://github.com/mit-plv/fiat-crypto/pull/295#issuecomment-356892413 Clang without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 105149 Ed25519 key generation operations in 5025208us (20924.3 ops/sec) Did 125000 Ed25519 signing operations in 5024003us (24880.6 ops/sec) Did 37642 Ed25519 verify operations in 5072539us (7420.7 ops/sec) After: Did 206000 Ed25519 key generation operations in 5020547us (41031.4 ops/sec) Did 227000 Ed25519 signing operations in 5005232us (45352.5 ops/sec) Did 69840 Ed25519 verify operations in 5004769us (13954.7 ops/sec) Clang + OPENSSL_SMALL: Before: Did 68598 Ed25519 key generation operations in 5024629us (13652.4 ops/sec) Did 73000 Ed25519 signing operations in 5067837us (14404.6 ops/sec) Did 36765 Ed25519 verify operations in 5078684us (7239.1 ops/sec) Did 74000 Curve25519 base-point multiplication operations in 5016465us (14751.4 ops/sec) Did 45600 Curve25519 arbitrary point multiplication operations in 5034680us (9057.2 ops/sec) After: Did 117315 Ed25519 key generation operations in 5021860us (23360.9 ops/sec) Did 126000 Ed25519 signing operations in 5003521us (25182.3 ops/sec) Did 64974 Ed25519 verify operations in 5047790us (12871.8 ops/sec) Did 134000 Curve25519 base-point multiplication operations in 5058946us (26487.7 ops/sec) Did 86000 Curve25519 arbitrary point multiplication operations in 5050478us (17028.1 ops/sec) GCC without OPENSSL_SMALL (ECDH omitted since that uses assembly and is unaffected by this CL). Before: Did 35552 Ed25519 key generation operations in 5030756us (7066.9 ops/sec) Did 38286 Ed25519 signing operations in 5001648us (7654.7 ops/sec) Did 10584 Ed25519 verify operations in 5068158us (2088.3 ops/sec) After: Did 92158 Ed25519 key generation operations in 5024021us (18343.5 ops/sec) Did 99000 Ed25519 signing operations in 5011908us (19753.0 ops/sec) Did 31122 Ed25519 verify operations in 5069878us (6138.6 ops/sec) Change-Id: Ic0c24d50b4ee2bbc408b94965e9d63319936107d Reviewed-on: https://boringssl-review.googlesource.com/24805 Commit-Queue: David Benjamin <davidben@google.com> CQ-Verified: CQ bot account: commit-bot@chromium.org <commit-bot@chromium.org> Reviewed-by: Adam Langley <agl@google.com>
2018-01-09 23:27:21 +01:00
692896803108118, 500174642072499, 2068223309439677,
1162190621851337, 1426986007309901
#else
64009494, 10324966, 64867251, 7453182, 61661885, 30818928, 53296841,
17317989, 34647629, 21263748
#endif
}},
},
};