--- /dev/null
+/* $OpenBSD: bn_gcd.c,v 1.1 2023/04/03 21:32:44 tb Exp $ */
+
+/*
+ * Copyright (c) 2023 Theo Buehler <tb@openbsd.org>
+ *
+ * Permission to use, copy, modify, and 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.
+ */
+
+#include <err.h>
+#include <stdio.h>
+#include <string.h>
+
+#include <openssl/bn.h>
+#include <openssl/err.h>
+
+int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+int BN_gcd_ct(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+static const struct gcd_test_fn {
+ const char *name;
+ int (*fn)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int fails_on_zero;
+} gcd_fn[] = {
+ {
+ .name = "BN_gcd",
+ .fn = BN_gcd,
+ },
+ {
+ .name = "BN_gcd_ct",
+ .fn = BN_gcd_ct,
+ .fails_on_zero = 1,
+ },
+};
+
+#define N_GCD_FN (sizeof(gcd_fn) / sizeof(gcd_fn[0]))
+
+static const struct gcd_test {
+ const char *a;
+ const char *b;
+ const char *r;
+} bn_gcd_tests[] = {
+ {
+ .a = "0",
+ .b = "0",
+ .r = "0",
+ },
+ {
+ .a = "1",
+ .b = "1",
+ .r = "1",
+ },
+ {
+ .a = "1",
+ .b = "0",
+ .r = "1",
+ },
+ {
+ .a = "0",
+ .b = "1",
+ .r = "1",
+ },
+ {
+ .a = "57",
+ .b = "0",
+ .r = "57",
+ },
+ {
+ .a = "0",
+ .b = "57",
+ .r = "57",
+ },
+
+ /*
+ * The following test cases were randomly generated.
+ */
+
+ {
+ .a = "255",
+ .b = "278d3",
+ .r = "3",
+ },
+ {
+ .a = "6a54d",
+ .b = "619",
+ .r = "7",
+ },
+ {
+ .a = "e9",
+ .b = "e695",
+ .r = "1",
+ },
+ {
+ .a = "3f3a9",
+ .b = "41f",
+ .r = "5",
+ },
+ {
+ .a = "643",
+ .b = "5bff1",
+ .r = "7",
+ },
+ {
+ .a = "2bb",
+ .b = "29be3",
+ .r = "3",
+ },
+ {
+ .a = "49e",
+ .b = "5770e",
+ .r = "6",
+ },
+ {
+ .a = "f1d5",
+ .b = "fb",
+ .r = "1",
+ },
+ {
+ .a = "250eb50",
+ .b = "206b0",
+ .r = "2b0",
+ },
+ {
+ .a = "57ad2",
+ .b = "64927d6",
+ .r = "6a6",
+ },
+ {
+ .a = "430bc",
+ .b = "48757a4",
+ .r = "564",
+ },
+ {
+ .a = "7593a8c",
+ .b = "7161c",
+ .r = "7ec",
+ },
+ {
+ .a = "5771161",
+ .b = "53d9b",
+ .r = "5e9",
+ },
+ {
+ .a = "4132d82",
+ .b = "37b1e",
+ .r = "49e",
+ },
+ {
+ .a = "72492b0",
+ .b = "65f90",
+ .r = "730",
+ },
+ {
+ .a = "14bab",
+ .b = "163605b",
+ .r = "1af",
+ },
+ {
+ .a = "602d952bd",
+ .b = "5a08833",
+ .r = "62ebb",
+ },
+ {
+ .a = "698bf2b",
+ .b = "65849195f",
+ .r = "701db",
+ },
+ {
+ .a = "37d4a5f",
+ .b = "402dcce6f",
+ .r = "488d3",
+ },
+ {
+ .a = "614e922",
+ .b = "6644a8e72",
+ .r = "6cc7a",
+ },
+ {
+ .a = "1eea0a75c",
+ .b = "1ea5c64",
+ .r = "21ac4",
+ },
+ {
+ .a = "6136d54",
+ .b = "6acfd5d8c",
+ .r = "7e544",
+ },
+ {
+ .a = "2bba7aaf2",
+ .b = "33894f6",
+ .r = "34902",
+ },
+ {
+ .a = "467c1e94",
+ .b = "3c036c",
+ .r = "4d34",
+ },
+ {
+ .a = "19c3fcfc5",
+ .b = "15f969b26a7",
+ .r = "1b9928b",
+ },
+ {
+ .a = "145666d9a",
+ .b = "13bbb7f3bb6",
+ .r = "159a73a",
+ },
+ {
+ .a = "1b0c38f9e",
+ .b = "18765759b3e",
+ .r = "1f0ce22",
+ },
+ {
+ .a = "784064e87",
+ .b = "667b4b1bc85",
+ .r = "7fbc6f7",
+ },
+ {
+ .a = "498054afdd3",
+ .b = "44d269073",
+ .r = "596efd7",
+ },
+ {
+ .a = "198ba337af6",
+ .b = "1f5755eca",
+ .r = "214ab6a",
+ },
+ {
+ .a = "5effbed2b",
+ .b = "6a7cdb539bd",
+ .r = "7b7352f",
+ },
+ {
+ .a = "14388cf1265",
+ .b = "153338971",
+ .r = "174af49",
+ },
+ {
+ .a = "2d4aff46122f30851a52b",
+ .b = "2edb8fdd14ab1b645",
+ .r = "332805d24fd69",
+ },
+ {
+ .a = "43733ea897495e14339f9",
+ .b = "3e843370070058d8d",
+ .r = "49977f36263b5",
+ },
+ {
+ .a = "58aafd7662b8de019",
+ .b = "5538bdda74849754e4949",
+ .r = "5daa7b4439b0f",
+ },
+ {
+ .a = "474100872e962de8b0596",
+ .b = "45223dbbeaaba9e92",
+ .r = "580218df81b62",
+ },
+ {
+ .a = "307c55bb52be32b4d",
+ .b = "2cc525ce8e2d2bc67aa6d",
+ .r = "30c17810923d9",
+ },
+ {
+ .a = "4a2a6504adf43e733",
+ .b = "497c44b84fb6f8774f787",
+ .r = "5ea902856aae1",
+ },
+ {
+ .a = "5b8e523f7c7b60972",
+ .b = "4aebe8c99000a8bd30652",
+ .r = "63b8fd8af9062",
+ },
+ {
+ .a = "53a047f3c3f81986811d7",
+ .b = "53b004a9fa740fcbb",
+ .r = "64d12a952833b",
+ },
+ {
+ .a = "6f177c61fa6afe2d209",
+ .b = "670a0a35553c35d52fb18f5",
+ .r = "74c624a8a32333b",
+ },
+ {
+ .a = "5343fd2374414df3034",
+ .b = "507c3e327a45f92c78eeb84",
+ .r = "5974af2eca1fe94",
+ },
+ {
+ .a = "4a07f6267329d80c7d4bdfa",
+ .b = "56a012dd8379b7a0e16",
+ .r = "59052131189608e",
+ },
+ {
+ .a = "63bba164fd337e80d0c",
+ .b = "615a76fb66b1094efbcba2c",
+ .r = "735585f95d70274",
+ },
+ {
+ .a = "2453ea8b7fca0284b883078",
+ .b = "234099d522bcad7e248",
+ .r = "2d69bd4f4b8d088",
+ },
+ {
+ .a = "61b5dc7806b84d2b08c",
+ .b = "58b8dde9e5f8ecfde43cd74",
+ .r = "75ff164a01eaa7c",
+ },
+ {
+ .a = "3816984948c1e79f882",
+ .b = "3b5b01106809f6bb2e2e016",
+ .r = "48170e737316bca",
+ },
+ {
+ .a = "41b4deb320e45f566b",
+ .b = "4874dbcc44f53775a6a1d7",
+ .r = "4977a5459131df",
+ },
+ {
+ .a = "364580a30652080c07c9dc48",
+ .b = "2e1c73c5131cbbf50628",
+ .r = "36825feeccb49b58",
+ },
+ {
+ .a = "695d74ad760a5795570a3",
+ .b = "62bc190742c20aa29644c84eb",
+ .r = "6abcf0da95d5be6f7",
+ },
+ {
+ .a = "74db3db1ab6c202baff804bcd",
+ .b = "6380a7b03658ba56b34a3",
+ .r = "756f230199f1529ab",
+ },
+ {
+ .a = "4b26c75874a09700b9d512ed8",
+ .b = "4ca3361909906b0cf7618",
+ .r = "53055ca37fd154698",
+ },
+ {
+ .a = "1f81faea97f44cd5c6adb457d",
+ .b = "22c452983db5a6ce9736f",
+ .r = "241a04dc3e4719c37",
+ },
+ {
+ .a = "95e5584090df556539aa9fd9",
+ .b = "b02f19eec1f1f2d44c59",
+ .r = "c5c889564b7e8bab",
+ },
+ {
+ .a = "4a908939e089498a7feab",
+ .b = "60045b573dccb74a9e2e379d5",
+ .r = "6116326ef394c59e7",
+ },
+ {
+ .a = "39443c6a7d6bd95529a12",
+ .b = "409e977e693f5bd1b17b0433a",
+ .r = "49802f618e94d218a",
+ },
+ {
+ .a = "3e6fc6cf9eaba3e94f24f03",
+ .b = "345aa9ded17c65a6c85dd7e6d61",
+ .r = "3ea3e52d4d5d024c389",
+ },
+ {
+ .a = "64f62375ce39484ec7e85f4e3d",
+ .b = "69459ea484d6480a376e91",
+ .r = "748b7824736c5c39e5",
+ },
+ {
+ .a = "4186cead307cad31530dd205a39",
+ .b = "4f5ee69f4afbb46507ccc8b",
+ .r = "533aef3d540410a6b2b",
+ },
+ {
+ .a = "536b816e2daa705e44bae82",
+ .b = "4e8a14632ccec82f41941b1fd7e",
+ .r = "5bf87a677ef2ec1bd76",
+ },
+ {
+ .a = "6518022e9b5920c69de925",
+ .b = "6d90bcb3174b93f44a2854f601",
+ .r = "7cc47ec91e90d61599",
+ },
+ {
+ .a = "2f443ac559d746b4b8f87c802af",
+ .b = "2ef35b22f59380207cd3a09",
+ .r = "33f82dc6aa168711c2f",
+ },
+ {
+ .a = "17418a08c177e039b1e5000",
+ .b = "183bf7b0342fe483457340ab000",
+ .r = "1da412c88f3a0c3f000",
+ },
+ {
+ .a = "77685efaa0d4e6a25268eaa07",
+ .b = "65b89e487f7a272f6187b",
+ .r = "80861458bce7097f7",
+ },
+ {
+ .a = "1488a0aab5415ee1ce826ecb38f7b33",
+ .b = "131c43cca73843a27b9feac46cd03d5de7a2f",
+ .r = "17b3a3001f3660377791cd8cf",
+ },
+ {
+ .a = "5349d29af82e6b8fae6c25859fadec6207032",
+ .b = "64d277bfb253b9a22f3c0187445253a",
+ .r = "6573b739e39b0650a9c2c2f02",
+ },
+ {
+ .a = "21df6046ab805b9f71a304d34236fe8",
+ .b = "1fe085864e8e75ea073efebfe6fbab133e4e8",
+ .r = "23e3d1525042d237154d245f8",
+ },
+ {
+ .a = "56454c66089738f7074ce55236dce53b22a11",
+ .b = "5d5308342f5a0c2277762ba37273f07",
+ .r = "71fb0beacaae6adab73b8cfbb",
+ },
+ {
+ .a = "25e20fcd81385c099f1db654feba9b1",
+ .b = "2134ea8527e2ad47f460d70b918ba69fd4c6b",
+ .r = "268d03475633df8adccd7eda9",
+ },
+ {
+ .a = "6713eb612dab2940e2741150dfa203f632d5f",
+ .b = "611184b794056ec03b0aeb7c1646be9",
+ .r = "752472cea4fe17a0cc5881d23",
+ },
+ {
+ .a = "39a3fe02e4f8cb7cfc972275862512c6e863c",
+ .b = "356731db8ae0f405b01423d24a00df4",
+ .r = "4230cc0ff4cb762463e8f45a4",
+ },
+ {
+ .a = "48c66d2a5a9f354fbe6a24379b3c868",
+ .b = "3d52dfc550d9288335bc4ca727d0008e225d8",
+ .r = "4e38e92332937fe6d87b9e888",
+ },
+ {
+ .a = "30de4f96ec186d1f64298c5ae4510f448",
+ .b = "30cbcdb08d24818e2845286f4b70760116f96e8",
+ .r = "32f5f8996bc47879755ea626348",
+ },
+ {
+ .a = "4e3cbdc0d866680fd0cf79732b914033c",
+ .b = "4c0fc242dbe2f4ba5592ffc621eca68499e807c",
+ .r = "556fcff7e03458aba9b3229def4",
+ },
+ {
+ .a = "4f902e3c221d879daae7536c66d0d1e0a",
+ .b = "4e2451f07d9559f3c36746cef62cb2ce95525de",
+ .r = "5be6e06842ff90445f2d002fdce",
+ },
+ {
+ .a = "1ec50fe3ba8edcdd47cecf6b1e67d2263bee334",
+ .b = "20eb4fa3aabacd28aa5126fa29425be14",
+ .r = "244d6242059f13924023015b8bc",
+ },
+ {
+ .a = "f85a29486c90172f2fcb0e8f2b9cc357235f8",
+ .b = "d988a3b4b5b168ed7ebe15381da5818",
+ .r = "fdfee673f1bde9585970c65b8",
+ },
+ {
+ .a = "60ff4616bccb386ab1c8c4fd663afd554f8d8cc",
+ .b = "5e4e6ea5e8217e17f69c63ea07d8e93bc",
+ .r = "780275e6eaa0fe4bf87a78c9974",
+ },
+ {
+ .a = "1ba4b71fa06394748ad36489d8a1232de12d6f0",
+ .b = "1da078788fa13e18814edbf15907ef930",
+ .r = "235f9d5de3c2a7b93122d930ad0",
+ },
+ {
+ .a = "3b09f70af16cc8c40573bfffb63750b2c",
+ .b = "3d4c9928047325884f90888dee2d64f64dca29c",
+ .r = "3fc1e8665f4df4243c2062b6d0c",
+ },
+ {
+ .a = "4d3079fb7639d1e7fdab98015c21c782c4c2b7878",
+ .b = "3dfed750b07e2be9e32d2627c31a0a1e3c8",
+ .r = "500cd222944614585265eb9f9e958",
+ },
+ {
+ .a = "536e6614ee85be4cba997bceeacd5d87db",
+ .b = "48a13d2d2df5788977b9e8ecd434cba45fe3ee1b",
+ .r = "549a3e0100b99d244e7f85384439",
+ },
+ {
+ .a = "1d83beadd7fe8d557ee9985f3d4c47b9144",
+ .b = "22be84a3090cce29b0b666a7cb049f9ba808cb494",
+ .r = "25d4b9fb71a6f79ff05eeabfbd454",
+ },
+ {
+ .a = "5b5bc6dc131ab9f1f765c976c96852f5cb024d121",
+ .b = "4c8375dd9a13a1c7d31f2c3fc87dd070075",
+ .r = "5ec3c5e03869f4dd4372d274fb553",
+ },
+ {
+ .a = "220220e66a4abb06681151d2a9cdf0d30a0",
+ .b = "26002cab182d2500064e1c19184707b9e8ba673e0",
+ .r = "2633ad7265ae0db8b891f4459eee0",
+ },
+ {
+ .a = "1e2ff1ff6bd8bee4b18ff6fc09e2b4a82e6",
+ .b = "207e14815ccc0a2f5cf3903d7e2bf754356c65676",
+ .r = "239e193c1bc65766c6b580dcddcc2",
+ },
+ {
+ .a = "26b7793830e334ac155cc8d480f2f3a6de4",
+ .b = "27a0ce62b6c85cd1566cdc532b5b1e322e52996cc",
+ .r = "297defac305c3a2f2154541ef1dc4",
+ },
+ {
+ .a = "50fda952177aa819c4042847414f2d2d14e",
+ .b = "45255a9ae2fd394ed8b760ce3133fb71f94362a86",
+ .r = "56aae2037820936b47d6a9cf771fa",
+ },
+ {
+ .a = "5acedf307d7016ffd7380015df422691ebbf7d97e91",
+ .b = "53c6266c3e6520cc40abc70370ad94e8a629d",
+ .r = "686ec3910fdac81085a738d1d4799d3",
+ },
+ {
+ .a = "584f15ec6c7e7bfa4ba24e1780fde1511fe12",
+ .b = "575a78c8e8bb4f02e57efb0010d86b4a408f150fe7e",
+ .r = "6317a26e7ae3218b60d8ef6cfa64186",
+ },
+ {
+ .a = "f617d44caf7dc67791e20feac2c1c27e655f",
+ .b = "11542c315141d0c46bae8863c1a945963b91b644603",
+ .r = "12f20af110dee02b9bbde9c9431ef47",
+ },
+ {
+ .a = "54538d3df7d85581e923e44291cae3aa3a3fcd20cc5",
+ .b = "67eef9400e79570ce246df916892707014bbb",
+ .r = "6a00b7b006c767a710fdd8b7652cacd",
+ },
+ {
+ .a = "1d567e0e5af1b4994bd82baf9c601d188107d",
+ .b = "1dae559a89e7e21212345a8148689c33da8d28f3fc9",
+ .r = "1f41fa99ba8e144971e741732e76cc1",
+ },
+ {
+ .a = "2c3172df78361b326b2c1f83749d1b9e42672",
+ .b = "2ff4be223d91f31e03e07fee0c18e082f970191a41a",
+ .r = "3693dd9f37613c4a7de1d831f44dd26",
+ },
+ {
+ .a = "32e11a127828647a88f8f7b6d48f475e8e71eda585b",
+ .b = "2ddf9f7e0f870347401ce5d93ff70a5a3a9cb",
+ .r = "3a4156da31ca81617974669400e3629",
+ },
+ {
+ .a = "47f54df57b2d124be53c0c6603700e8f69829238b49",
+ .b = "489167e7ed18db6d541c8a94cf6a58f10836d",
+ .r = "5ca417bb8cb42fefd91fd832a89bdb7",
+ },
+ {
+ .a = "8963a8cf862bfeda36412dea185c6984c3acf3b22204",
+ .b = "8035daf441d2a728b3dbded074c57e103e58ad65efaf5fe3"
+ "b23c",
+ .r = "a7cbf319f110484e28a631c8425609ed72ec",
+ },
+ {
+ .a = "40f583721493abb5ead342942d9e142ce51f7251ecb6a333"
+ "c0888",
+ .b = "4cce4f3aff6019192f7e32c372c9e32385b2352d32518",
+ .r = "52d94814b2149c815d82619dc02750648e558",
+ },
+ {
+ .a = "34a08b5c152b6bda536ab231199c5de7d8e96ad8814f3",
+ .b = "328d23516a0bacc130bcbb9b95965ffdd99827c49f306a6c"
+ "06983",
+ .r = "431ef899d79eb5aff9b6aa3759bca625f1317",
+ },
+ {
+ .a = "4765f462b4167b25df009c3d0d710d707dc4e8a990e81",
+ .b = "5495c974f06f6f2cf98d285af77a76be3ef32eab77ca815b"
+ "a2031",
+ .r = "58ab78d483cc486014fb6ea972c22f7ab7b5d",
+ },
+ {
+ .a = "44ad54c2afc1aeac7ec3511d847cbbee8902ec2ede784",
+ .b = "3cf4ddd41867fea4681efd043e079ba7788bcf66dd2694ba"
+ "dce1c",
+ .r = "495c740575ba1a56128a3a6721dc6b26fa664",
+ },
+ {
+ .a = "1fa1582b89ffb94b0b97acdb1de271dbfdbc305af4513fdf"
+ "5b307",
+ .b = "27f5a44e5e13c9b5261f50a2f19f00e6a5023c0c755e5",
+ .r = "27f8d558c92c865c814efc3aa6a1f4d70bf73",
+ },
+ {
+ .a = "591a92aedb904d763b651b2db15c965368d909b219ee607a"
+ "5c68c",
+ .b = "5b4be0a485cd99ee2d1126e62f657581da85e941e725c",
+ .r = "68117134ecfe0984ea313bfe818d2072186dc",
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+ .b = "208f4ba8619b531371a3359236423c217565ad6261992978"
+ "42e96a79b0ad9bc89312da9aba13acc17c7cbd12ee3fc769"
+ "e2473be10228f38e666afaefe868a9a960cff9e20fdc047c"
+ "e44b85d26e523a5acef4507da9c145f335ab3521b",
+ .r = "270744a30ad54fcc784ebb3ea9f8bfc50372c09ec5578eb5"
+ "8ff70118681efada3d75394a5ed973df0333a14573418ae2"
+ "42c5585b923bcfc6d10f1ee3fd1ca497553c7de6f",
+ },
+ {
+ .a = "4a83938144f1565d1407f16a811c8fd217b594b210dbc259"
+ "459ec5fdf9769ee85878ebe617c386284285e7354898f5ed"
+ "2236d1f832c606e2e7598680c4d3a103730e32a700895f86"
+ "fa2ab0cf34af11b48",
+ .b = "424ee13ea5c95ff7e99889e3912b217b97975227c303f1d1"
+ "57c7f8147e239cbcad6a3dd28ffe8315a60b566b326b2827"
+ "cb21f0da1acb02a8a094415fec55f6a76ca47d7443608703"
+ "21e4db7cd1449892b57ecc2c26d8efd6a6bfab978",
+ .r = "4aaf2a59ebfbb0d69ab6e0b867762c3fe76c54757caecc33"
+ "3f2c4fc9d39edda28e1beb4bd7fdf35d27f8189bc8c76a7d"
+ "c1613c932b1b921fea1b1eaf11a8390cacc472b28",
+ },
+ {
+ .a = "6c95db45eae9c3890c716013ac0e8c8093000c0030d6b7eb"
+ "d556e749fd6f253d31622c5b8db0ba41d1a0709e0ed5d2d3"
+ "1406d0cec72e7b78bb4a21c5480bdca95a648e8331a26ca8"
+ "5f67c442d9471860",
+ .b = "7de0f00b2f156e38ab5549ff5ba31e16a6cb843823a97044"
+ "7abd7542db53e78e812b4eb58d16df6a614a07bb590d673a"
+ "7208ebb98a0fc80b070c55ecfb0a6590f530daddc5ded569"
+ "b80aae255b9cda0b6058c2971474106319df77e0",
+ .r = "7e7ff05971d259d4c99403f85afb3236188d72bf350e2e2d"
+ "4c44be9b3a6c569ebf47e8d0dd55c6157a8846d49a1556fa"
+ "d3bb1e00b077bc2a01eab5a0790e0ffadffe39e0",
+ },
+ {
+ .a = "4394fd57db60ab172f4c909cdb8f3ea434e2bc6adc1ba173"
+ "a087dda50d52ed530384197589a0a66dc3fa5c7e47fbbc77"
+ "bd1bf2064d70f6ae0ab33b8fab6beeb56c985baba93b6ee5"
+ "fe086c99c919e3986",
+ .b = "4940242edd9807e4ec93d363187f29ec73623961e851a5f1"
+ "176e62cf1de9d47e95d43fefa3e6e05a7de8ef3eef1fbe0a"
+ "e9ac7bf200f8d5c9dd7eb3acca2f1e5245790065e319f456"
+ "419bb208665aa060009300b9197ffd6000d810876",
+ .r = "5360c87629e74983d59adea5ec47b9a198b3c5613afc3926"
+ "b9ccdad58725f4e232b7b5f8963838fb1772338620ba9240"
+ "967ebfdb2e29aef289cfd0d50f7a7036081e42e92",
+ },
+ {
+ .a = "61be17703b62e5adf51e2c388ee77758a80632adab7c3a0d"
+ "d56b86ce827242baeb8a2324490c3c1e1615dcf8518aa7c2"
+ "65983441c7542c896e71dd213fdd04be682f654308c05cec"
+ "3c14c8defff396874763f57687e54e32f4ce9d1434c",
+ .b = "522d15c2681543b7bb50d64526e6032bebf8cd452cb06f5f"
+ "0105616cc681eee2d522a86f683cd675082de34844ad7836"
+ "4555c7d2b1e960ae02826cdb4d80937bbfcdfa59d0cdbf2b"
+ "4c9a96dc35b5ecbfbac",
+ .r = "6534089f006b049c13da2253ee4057e2aac083ce0610de29"
+ "00b01eddd57f4ed13adda2146fbd37bbb443420a0e7a081a"
+ "015e82b9dc85dd6c2389ce55a139e96f6448a424e6c",
+ },
+ {
+ .a = "b287e8ac4abad5500ebe7739682f6bcf324d1afb32d68b0f"
+ "fd0b689aecdcf61473947ab8cc84a0a8873fce752d7027d3"
+ "403ccc28e522aab65b993883cd781b68b7a7d20bbabbdf3e"
+ "93c02aab4ccc335e4fbff8135d7d55fb5fee349bc8",
+ .b = "abf36a5b8c6d09a3db1ed4cc037cb32072fb0812652bebb4"
+ "e7f0e194494017958cce507f64f1270083cf4855c9ea85ed"
+ "cd2f99bcb43dcfdff5e65ff2f6b18878999a646e67b10871"
+ "d767a014cb39c06268",
+ .r = "bcfa04e04d226734bb8794716a3a3424893b94724dd5e802"
+ "54adad60ee8cea7cf7e8d798aa1287462a43b9d337b89d2b"
+ "8e2dbda0efe829e8fd784d61f0e09df7cee9d9a108",
+ },
+ {
+ .a = "5805113ca06a22d67bf70a022cb538560f1e48331209ec43"
+ "682117ee841f4b7c425f23ce05b9febfe1ceb76784f6ff8c"
+ "4022df8cf61625b95f02f5f8cbf9a24f885776ee0b10acfb"
+ "e9b6535ceaf6c592243",
+ .b = "5e164dba2f2ef870b086ee79a8b37b80aaf4d26c1ab53c1f"
+ "3de828ddc22e1820f5a7857de133684e95d9c0487270ac90"
+ "66bea466dc67a70a6f6f22687f35c159314eef3d5c4ee0e2"
+ "f18f1b8a98f270a71bd45d44de71025b1dc966618d3",
+ .r = "679f032203be069cd9d44729aecad54a5fd518f9582cf4be"
+ "a3ef0bd7e62dec0aa124369db4f68ff416700a6f052e83a1"
+ "aaf3dee6d31c8f34192a60eba7eb57c759686b53d3f",
+ },
+ {
+ .a = "6133ca653e55b423bb47988e353d8500c668540f10efeafa"
+ "a08aa8b04894517b1a4ce8b0431c2a219dd6c738b878f3a3"
+ "ec8f55f975b24e3d56b42ac4b087200411afc3c6716402ac"
+ "9d05a3b5c099be9d073cea6b51264fab6b602c76efe",
+ .b = "52bca44f91ee3f41b18fd6286b91463c00a50f7ac5131d76"
+ "ac1dcc7fd60340a3f55357a364be360744b8699a83a4ac31"
+ "a5b7a6f9d9bd35da094e2d20a3cfb9d21aa3b573013d8301"
+ "cb8cbad78c811e60f5e",
+ .r = "61b7a3d5d104cc66dca872b821dfc45afc88f7e46010b538"
+ "83aff819e90d1406991b3e104c4842db52fe1bc97c8daf37"
+ "a0ae1aaf3faa02ab92645764cf9173160c80cde79ea",
+ },
+ {
+ .a = "5ba6fdd7fbeccfe482b2f57cdac17d53d09a60bb76422fb4"
+ "22b4c7785ce7186c88bf33cba40afa8f74a2d66b195c7d3a"
+ "f49ffc436fffb2e32c4cdfb67253c1afa4898bcb5dcbe39e"
+ "e6288129c59cf16dc177d63d0bf02fe216c1fbeba9b",
+ .b = "5a1e35a1fa9ca5d66244af81b6a239d1d7b94841e38413ad"
+ "35b47fafb2d7509a30011e6d7a64360d4ccdb9f86d00a939"
+ "4721575f8fe9e23306ffe3059ef99447d09fd00f5c795d38"
+ "36c1dc663834da34991",
+ .r = "70d68f80fbeac749d6f0f718ba5a6bca7ca23dee2b7ee687"
+ "ba0e3be0f45941d0ee637b3e8406ea2aed4f1638bdb47f17"
+ "7beec21cab2e49d832d9bda5a9d3b62003d6429bcbf",
+ },
+ {
+ .a = "58f54f7ea83715900bc82bd5fc183f926f0fef989159bab7"
+ "c3aa18fd186efd7fc79d2a58c0bbd8556c1fabb784975801"
+ "396089ffa82f59eff04a2557b532f99bd39e08f597e00d0c"
+ "c96eccf3618cc02ec57b592d4d019152b686bd84bac",
+ .b = "4866326c48b8226bec5aae93bc3b3b3fdac0a60319730efa"
+ "7d9aa373da03f59159d3ccbeb478dbb5393fd91c6daaad8c"
+ "28dc0187a59448847ad960648b8fdfc14f785f09e423c8cb"
+ "1c6cc5862b4ec95a25c",
+ .r = "5f4a880841ce22ffd67705b03d965c39517a79f8e8ab6669"
+ "482eef3966895a050c67cce16965f98cd53477aeac38a521"
+ "02a6274dba0f5d2f02f1d5f1dff5653db7ca109a9cc",
+ },
+ {
+ .a = "6a0e2e61d2859ce130d11aff8a8a9cc0672d3cea86da2f31"
+ "4a6a656e13f4830826cd8a6044d1233f7a6d70cae35060ea"
+ "fb66ae062c7f4af5eff978da2c5c29421322ed65293dbe9e"
+ "1855cb2977bec2fbf20",
+ .b = "594a63062ee8b0b61f0143ed9237906010c17e6d03cfb2fe"
+ "675f13edc7f8c54770f25dbb275f3236a8fa3bddc10c4fa8"
+ "fe0b704e6c4c0ee29929d2d49500a4254903350cdc72b02e"
+ "dddf83964b5c382b4f12571fc4741fd5b3ac9c24a20",
+ .r = "6c4c28b2358329ee65678c92b6e9b31187d4ddd793f9af45"
+ "e780b723f63b82c287e2ab0fb06ccd173a9bec960667a47f"
+ "0ebd5a2ce8d1d0059500be32d67c8ab308e3e08fda0",
+ },
+ {
+ .a = "b37bbec16572713e3cadbcbd2703c48673edde83d6ab5cc0"
+ "02c32dd693950f4c3965506c04cddcbd754f23245ce63f92"
+ "f5dcb926f40bbf08583de1a11047e0c2508b47d0896cc0cb"
+ "fbe031a5e9a148923e",
+ .b = "e8cceb9061392e35fd652346312aff143d88fb156695e0a7"
+ "f7b84419ca35214374733457d32517d0cb7c16c31a10f002"
+ "d4f2bd2fd4ee4ded122f1e221dfc989d0c8dd66deb1ac49a"
+ "9199290905db12c064d3376805451b969ee424a59a",
+ .r = "e9eb6a282f306af29a28df6d720469568183f136e58813e3"
+ "d61929b91f8538cf0f777fd5fb1672f0bdc4e59ccb9a4f79"
+ "16aabeba3101842a700fa4c08e758ec7169726d682",
+ },
+};
+
+#define N_GCD_TESTS (sizeof(bn_gcd_tests) / sizeof(bn_gcd_tests[0]))
+
+static int
+bn_gcd_test(const struct gcd_test *testcase)
+{
+ BN_CTX *ctx;
+ BIGNUM *a, *b, *want, *got;
+ size_t i;
+ int signs;
+ int failed = 0;
+
+ if ((ctx = BN_CTX_new()) == NULL)
+ errx(1, "BN_CTX_new");
+
+ BN_CTX_start(ctx);
+
+ if ((a = BN_CTX_get(ctx)) == NULL)
+ errx(1, "a = BN_CTX_get(ctx)");
+ if ((b = BN_CTX_get(ctx)) == NULL)
+ errx(1, "b = BN_CTX_get(ctx)");
+ if ((want = BN_CTX_get(ctx)) == NULL)
+ errx(1, "want = BN_CTX_get(ctx)");
+ if ((got = BN_CTX_get(ctx)) == NULL)
+ errx(1, "got = BN_CTX_get(ctx)");
+
+ if (!BN_hex2bn(&a, testcase->a))
+ errx(1, "a = hex2bn(%s)", testcase->a);
+ if (!BN_hex2bn(&b, testcase->b))
+ errx(1, "b = hex2bn(%s)", testcase->b);
+ if (!BN_hex2bn(&want, testcase->r))
+ errx(1, "want = hex2bn(%s)", testcase->r);
+
+ for (i = 0; i < N_GCD_FN; i++) {
+ for (signs = 0; signs < 4; signs++) {
+ const struct gcd_test_fn *test = &gcd_fn[i];
+
+ /* XXX - BN_gcd_ct(a, 0) divides by zero */
+ if (test->fails_on_zero && BN_is_zero(b))
+ continue;
+
+ BN_set_negative(a, (signs >> 0) & 1);
+ BN_set_negative(b, (signs >> 1) & 1);
+
+ if (!test->fn(got, a, b, ctx)) {
+ fprintf(stderr, "boo\n");
+ goto err;
+ }
+
+ if (BN_cmp(got, want) != 0) {
+ fprintf(stderr, "%s, signs %d, want %s, got ",
+ test->name, signs, testcase->r);
+ BN_print_fp(stderr, got);
+ fprintf(stderr, "\n");
+
+
+ failed |= 1;
+ }
+ }
+ }
+
+ err:
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+
+ return failed;
+}
+
+static int
+run_bn_gcd_tests(void)
+{
+ size_t i;
+ int failed = 0;
+
+ for (i = 0; i < N_GCD_TESTS; i++)
+ failed |= bn_gcd_test(&bn_gcd_tests[i]);
+
+ return failed;
+}
+
+/*
+ * This test uses the coprime factorization 2^(2k) - 1 = (2^k - 1) * (2^k + 1).
+ */
+
+static int
+bn_binomial_gcd_test(const struct gcd_test_fn *test, int k, BIGNUM *a,
+ BIGNUM *b, BN_CTX *ctx)
+{
+ BIGNUM *gcd;
+ int shift, signs;
+ int failed = 0;
+
+ BN_CTX_start(ctx);
+
+ if ((gcd = BN_CTX_get(ctx)) == NULL)
+ errx(1, "%s: gcd = BN_CTX_get(ctx)", test->name);
+
+ for (shift = 0; shift < 16; shift++) {
+ for (signs = 0; signs < 4; signs++) {
+ /* XXX - BN_gcd_ct(a, 0) divides by zero */
+ if (test->fails_on_zero && BN_is_zero(b))
+ continue;
+
+ BN_set_negative(a, (signs >> 0) & 1);
+ BN_set_negative(b, (signs >> 1) & 1);
+
+ if (!test->fn(gcd, a, b, ctx)) {
+ errx(1, "%s(), k: %d, shift: %d, signs %d\n",
+ test->name, k, shift, signs);
+ }
+
+ if (BN_is_negative(gcd)) {
+ fprintf(stderr, "%s: negative gcd, "
+ "k: %d, shift: %d, signs %d\n",
+ test->name, k, shift, signs);
+ failed |= 1;
+ }
+
+ if (BN_ucmp(gcd, b) != 0) {
+ fprintf(stderr, "%s: BN_ucmp() failed, "
+ "k: %d, shift: %d, signs %d\n",
+ test->name, k, shift, signs);
+ failed |= 1;
+ }
+ }
+
+ if (!BN_lshift1(a, a))
+ errx(1, "%s: BN_lshift1(a, a)", test->name);
+ if (!BN_lshift1(b, b))
+ errx(1, "%s: BN_lshift1(b, b)", test->name);
+ }
+
+ BN_CTX_end(ctx);
+
+ return failed;
+}
+
+static int
+run_bn_binomial_gcd_tests(void)
+{
+ BN_CTX *ctx;
+ BIGNUM *a, *b;
+ size_t i;
+ int k;
+ int failed = 0;
+
+ if ((ctx = BN_CTX_new()) == NULL)
+ errx(1, "%s: BN_CTX_new()", __func__);
+
+ BN_CTX_start(ctx);
+
+ if ((a = BN_CTX_get(ctx)) == NULL)
+ errx(1, "%s: a = BN_CTX_get(ctx)", __func__);
+ if ((b = BN_CTX_get(ctx)) == NULL)
+ errx(1, "%s: b = BN_CTX_get(ctx)", __func__);
+
+ for (i = 0; i < N_GCD_FN; i++) {
+ const struct gcd_test_fn *test = &gcd_fn[i];
+
+ for (k = 0; k < 400; k++) {
+ BN_zero(a);
+ BN_zero(b);
+
+ /* a = 2^(2k) - 1 */
+ if (!BN_set_bit(a, 2 * k))
+ errx(1, "%s: BN_set_bit(a, 2 * k)", test->name);
+ if (!BN_sub_word(a, 1))
+ errx(1, "%s: BN_sub_word(a, 1)", test->name);
+
+ /* b = 2^k - 1 */
+ if (!BN_set_bit(b, k))
+ errx(1, "%s: BN_set_bit(a, k)", test->name);
+ if (!BN_sub_word(b, 1))
+ errx(1, "%s: BN_sub_word(a, 1)", test->name);
+
+ failed |= bn_binomial_gcd_test(test, k, a, b, ctx);
+
+ BN_zero(a);
+ BN_zero(b);
+
+ /* a = 2^(2k) - 1 */
+ if (!BN_set_bit(a, 2 * k))
+ errx(1, "%s: BN_set_bit(a, 2 * k)", test->name);
+ if (!BN_sub_word(a, 1))
+ errx(1, "%s: BN_sub_word(a, 1)", test->name);
+
+ /* b = 2^k + 1 */
+ if (!BN_set_bit(b, k))
+ errx(1, "%s: BN_set_bit(a, k)", test->name);
+ if (!BN_add_word(b, 1))
+ errx(1, "%s: BN_add_word(a, 1)", test->name);
+
+ failed |= bn_binomial_gcd_test(test, k, a, b, ctx);
+ }
+ }
+
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+
+ return failed;
+}
+
+int
+main(void)
+{
+ int failed = 0;
+
+ failed |= run_bn_gcd_tests();
+ failed |= run_bn_binomial_gcd_tests();
+
+ return failed;
+}
projects / openbsd / commitdiff