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curve_get_named.c
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curve_get_named.c
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/* Copyright 2008-2019 Douglas Wikstrom
*
* This file is part of Verificatum Elliptic Curve library (VEC).
*
* Permission is hereby granted, free of charge, to any person
* obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without
* restriction, including without limitation the rights to use, copy,
* modify, merge, publish, distribute, sublicense, and/or sell copies
* of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
#include <stdlib.h>
#include <stdio.h>
#include <gmp.h>
#include <string.h>
#include "vec.h"
/* Most standard named curves over groups of unknown order. */
#define NUM_CURVES 26
char *named_curves[][NUM_CURVES] = {
/* NIST */
{"prime192v3",
"fffffffffffffffffffffffffffffffeffffffffffffffff",
"fffffffffffffffffffffffffffffffefffffffffffffffc",
"22123dc2395a05caa7423daeccc94760a7d462256bd56916",
"7d29778100c65a1da1783716588dce2b8b4aee8e228f1896",
"38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
"ffffffffffffffffffffffff7a62d031c83f4294f640ec13"},
{"prime192v2",
"fffffffffffffffffffffffffffffffeffffffffffffffff",
"fffffffffffffffffffffffffffffffefffffffffffffffc",
"cc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953",
"eea2bae7e1497842f2de7769cfe9c989c072ad696f48034a",
"6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
"fffffffffffffffffffffffe5fb1a724dc80418648d8dd31"},
{"prime192v1",
"fffffffffffffffffffffffffffffffeffffffffffffffff",
"fffffffffffffffffffffffffffffffefffffffffffffffc",
"64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1",
"188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
"7192b95ffc8da78631011ed6b24cdd573f977a11e794811",
"ffffffffffffffffffffffff99def836146bc9b1b4d22831"},
{"prime256v1",
"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551"},
{"prime239v3",
"7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff",
"7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc",
"255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e",
"6768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a",
"1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
"7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551"},
{"prime239v2",
"7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff",
"7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc",
"617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c",
"38af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7",
"5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
"7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063"},
{"prime239v1",
"7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff",
"7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc",
"6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a",
"ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf",
"7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
"7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b"},
/* SEC */
{"secp192k1",
"fffffffffffffffffffffffffffffffffffffffeffffee37",
"0",
"3",
"db4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d",
"9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
"fffffffffffffffffffffffe26f2fc170f69466a74defd8d"},
{"secp192r1",
"fffffffffffffffffffffffffffffffeffffffffffffffff",
"fffffffffffffffffffffffffffffffefffffffffffffffc",
"64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1",
"188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
"7192b95ffc8da78631011ed6b24cdd573f977a11e794811",
"ffffffffffffffffffffffff99def836146bc9b1b4d22831"},
{"secp224k1",
"fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d",
"0",
"5",
"a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c",
"7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
"10000000000000000000000000001dce8d2ec6184caf0a971769fb1f7"},
{"secp224r1",
"ffffffffffffffffffffffffffffffff000000000000000000000001",
"fffffffffffffffffffffffffffffffefffffffffffffffffffffffe",
"b4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4",
"b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
"bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
"ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d"},
{"secp256k1",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f",
"0",
"7",
"79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
"483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
"fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141"},
{"secp256r1",
"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551"},
{"secp384r1",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc",
"b3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef",
"aa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7",
"3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f",
"ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973"},
{"secp521r1",
"1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
"51953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
"c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
"11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409"},
/* TeleTrusT */
{"brainpoolp512r1",
"aadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3",
"7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca",
"3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723",
"81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098eff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822",
"7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892",
"aadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069"},
{"brainpoolp256r1",
"a9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377",
"7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9",
"26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6",
"8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262",
"547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997",
"a9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7"},
{"brainpoolp192r1",
"c302f41d932a36cda7a3463093d18db78fce476de1a86297",
"6a91174076b1e0e19c39c031fe8685c1cae040e5c69a28ef",
"469a28ef7c28cca3dc721d044f4496bcca7ef4146fbf25c9",
"c0a0647eaab6a48753b033c56cb0f0900a2f5c4853375fd6",
"14b690866abd5bb88b5f4828c1490002e6773fa2fa299b8f",
"c302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1"},
{"brainpoolp224r1",
"d7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff",
"68a5e62ca9ce6c1c299803a6c1530b514e182ad8b0042a59cad29f43",
"2580f63ccfe44138870713b1a92369e33e2135d266dbb372386c400b",
"d9029ad2c7e5cf4340823b2a87dc68c9e4ce3174c1e6efdee12c07d",
"58aa56f772c0726f24c6b89e4ecdac24354b9e99caa3f6d3761402cd",
"d7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f"},
{"brainpoolp320r1",
"d35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e27",
"3ee30b568fbab0f883ccebd46d3f3bb8a2a73513f5eb79da66190eb085ffa9f492f375a97d860eb4",
"520883949dfdbc42d3ad198640688a6fe13f41349554b49acc31dccd884539816f5eb4ac8fb1f1a6",
"43bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611",
"14fdd05545ec1cc8ab4093247f77275e0743ffed117182eaa9c77877aaac6ac7d35245d1692e8ee1",
"d35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59311"},
{"brainpoolp384r1",
"8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53",
"7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f8aa5814a503ad4eb04a8c7dd22ce2826",
"4a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d57cb4390295dbc9943ab78696fa504c11",
"1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e",
"8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315",
"8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565"},
/* X9.62 */
{"P-521",
"1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
"51953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
"c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
"11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409"},
{"P-256",
"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551"},
{"P-224",
"ffffffffffffffffffffffffffffffff000000000000000000000001",
"fffffffffffffffffffffffffffffffefffffffffffffffffffffffe",
"b4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4",
"b70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
"bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
"ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d"},
{"P-384",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc",
"b3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef",
"aa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7",
"3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f",
"ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973"},
{"P-192",
"fffffffffffffffffffffffffffffffeffffffffffffffff",
"fffffffffffffffffffffffffffffffefffffffffffffffc",
"64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1",
"188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
"7192b95ffc8da78631011ed6b24cdd573f977a11e794811",
"ffffffffffffffffffffffff99def836146bc9b1b4d22831"}
};
static vec_curve *
vec_curve_get_str(char *name,
char *modulus_str,
char *a_str,
char *b_str,
char *gx_str,
char *gy_str,
char *n_str,
jdbl_func jdbl, jadd_func jadd, jmul_func jmul,
jsmul_func jsmul,
jfmul_precomp_func jfmul_precomp,
jfmul_func jfmul,
jfmul_free_func jfmul_free)
{
vec_curve *curve = vec_curve_alloc();
curve->name = name;
mpz_set_str(curve->modulus, modulus_str, 16);
mpz_set_str(curve->a, a_str, 16);
mpz_set_str(curve->b, b_str, 16);
mpz_set_str(curve->gx, gx_str, 16);
mpz_set_str(curve->gy, gy_str, 16);
mpz_set_str(curve->n, n_str, 16);
curve->jdbl = jdbl;
curve->jadd = jadd;
curve->jmul = jmul;
curve->jsmul = jsmul;
curve->jfmul_precomp = jfmul_precomp;
curve->jfmul = jfmul;
curve->jfmul_free = jfmul_free;
curve->jdbl_timer = NULL;
curve->jadd_timer = NULL;
return curve;
}
int
vec_curve_number_of_names()
{
return NUM_CURVES;
}
char *
vec_curve_get_name(int i)
{
if (0 <= i && i < NUM_CURVES)
{
return named_curves[i][0];
}
else
{
return NULL;
}
}
int
vec_curve_a_eq_neg3(vec_curve *curve)
{
mpz_t tmp;
int res;
mpz_init(tmp);
mpz_sub(tmp, curve->a, curve->modulus);
res = (mpz_cmp_si(tmp, -3) == 0);
mpz_clear(tmp);
return res;
}
vec_curve *
vec_curve_get_named_len(char *name, int len, int implementation)
{
int i;
vec_curve *curve;
for (i = 0; i < NUM_CURVES; i++)
{
if (strncmp(name, named_curves[i][0], len) == 0)
{
/* Use general GMP code by default. */
curve = vec_curve_get_str(named_curves[i][0],
named_curves[i][1],
named_curves[i][2],
named_curves[i][3],
named_curves[i][4],
named_curves[i][5],
named_curves[i][6],
vec_jdbl_generic,
vec_jadd_generic,
vec_jmulsw_generic,
vec_jsmul_generic,
vec_jfmul_precomp_generic,
vec_jfmul_generic,
vec_jfmul_free_generic);
/* Use slightly faster GMP code when a = -3. */
if (vec_curve_a_eq_neg3(curve))
{
curve->jadd = vec_jadd_a_eq_neg3_generic;
curve->jdbl = vec_jdbl_a_eq_neg3_generic;
curve->jmul = vec_jmulsw_a_eq_neg3_generic;
curve->jsmul = vec_jsmul_a_eq_neg3_generic;
curve->jfmul_precomp = vec_jfmul_precomp_a_eq_neg3_generic;
curve->jfmul = vec_jfmul_a_eq_neg3_generic;
curve->jfmul_free = vec_jfmul_free_a_eq_neg3_generic;
}
if (implementation > 0)
{
/* Use special code if available for the requested curve. */
if (strncmp(name, "P-224", len) == 0)
{
curve->jdbl = vec_jdbl_nistp224;
curve->jadd = vec_jadd_nistp224;
curve->jmul = vec_jmulsw_nistp224;
curve->jsmul = vec_jsmul_nistp224;
curve->jfmul_precomp = vec_jfmul_precomp_nistp224;
curve->jfmul = vec_jfmul_nistp224;
curve->jfmul_free = vec_jfmul_free_nistp224;
curve->jdbl_timer = time_jdbl_nistp224;
curve->jadd_timer = time_jadd_nistp224;
}
if (strncmp(name, "P-256", len) == 0)
{
curve->jdbl = vec_jdbl_nistp256;
curve->jadd = vec_jadd_nistp256;
curve->jmul = vec_jmulsw_nistp256;
curve->jsmul = vec_jsmul_nistp256;
curve->jfmul_precomp = vec_jfmul_precomp_nistp256;
curve->jfmul = vec_jfmul_nistp256;
curve->jfmul_free = vec_jfmul_free_nistp256;
curve->jdbl_timer = time_jdbl_nistp256;
curve->jadd_timer = time_jadd_nistp256;
}
if (strncmp(name, "P-521", len) == 0)
{
curve->jdbl = vec_jdbl_nistp521;
curve->jadd = vec_jadd_nistp521;
curve->jmul = vec_jmulsw_nistp521;
curve->jsmul = vec_jsmul_nistp521;
curve->jfmul_precomp = vec_jfmul_precomp_nistp521;
curve->jfmul = vec_jfmul_nistp521;
curve->jfmul_free = vec_jfmul_free_nistp521;
curve->jdbl_timer = time_jdbl_nistp521;
curve->jadd_timer = time_jadd_nistp521;
}
}
return curve;
}
}
/* This is a fatal error. */
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
vec_curve *
vec_curve_get_named(char *name, int implementation)
{
return vec_curve_get_named_len(name, 100, implementation);
}