# Test vectors for low-level GF functions # # $Id: gfx,v 1.2 2004/03/21 22:52:06 mdw Exp $ # --- Addition (and subtraction) --- add { # --- Simple sanity tests --- 01 01 00; 02 02 00; 03 01 02; # --- Random data tests --- 7fb838a8a0a95046b9d9d9fb4440f7bb c1a7bd3b4e853fc92d4e1588719986aa be1f8593ee2c6f8f9497cc7335d97111; 8d68905434b020ccb849e17a03a5c441 d2a104aaf523699c1cc7a93174d21d9c 5fc994fec1934950a48e484b7777d9dd; 027aa17c97dfa80bbdef9f91b243c6e6 ddba1a223cad8a39e9c986879ad21b75 dfc0bb5eab722232542619162891dd93; d668328b2594570198fd840b4783f5d9 f474e9ef071c418acf1f71b9cccdd179 221cdb642288168b57e2f5b28b4e24a0; 509e024b27fb8b3655da3938d0c04f92 3fa219832f73843c0ae8c4f4715f633c 6f3c1bc808880f0a5f32fdcca19f2cae; 13e8b9d83c66bc5fa56e2debbab3c9c2 6bb190b76e090abd7f6375a6921ad17e 7859296f526fb6e2da0d584d28a918bc; 3c98c1fd7d6e4ff9adae43a38ed0f2b3 101f88d732a51bbe40080cabd06002 3c88de75aa5ceae213ee4baf250092b1; 2774d74b7453e63c2d314e0be52eaf79 54c0dc1a0bedbafcb0b707fe5e496a20 73b40b517fbe5cc09d8649f5bb67c559; 75b9d1662c48f8c40ee4e9b3138a0b59 0ca3e9d4c75a6e2b493d7efb8554e9f8 791a38b2eb1296ef47d9974896dee2a1; 501591c68468a7d8ecfcae3f419ecb52 b0ad24cd246361f779e8317e94977c57 e0b8b50ba00bc62f95149f41d509b705; 6fa69209a292924f04fb5b3469a1068b d9a06e9ac90f02ad095ff84f30a9addd b606fc936b9d90e20da4a37b5908ab56; ce596f2830ab988dfa7dc0add68214af 860c30b9a27c7b2759666dd71ec578c3 48555f9192d7e3aaa31bad7ac8476c6c; 862361325b5f7a6b506b948d55697ce3 95142973169fbae5410a22bb88ca63ee 133748414dc0c08e1161b636dda31f0d; 237495a82a6755689df073af2a56f88c ab46613ddf7787fd1be42272fcb1be44 8832f495f510d295861451ddd6e746c8; 6b2d8d2b513277cfb03d8a5731234a3d 9cc41fbd7189a3b5b0ff2f3746eb9bc6 f7e9929620bbd47a00c2a56077c8d1fb; af7baf1a8ce5d42eca4353de181d085a c59bde6136dda59a839605252d1dd390 6ae0717bba3871b449d556fb3500dbca; 566a7c0f9adc5a021c1759e2c80708c0 28d1c20f2b8613b5e1ba8e3005aef30f 7ebbbe00b15a49b7fdadd7d2cda9fbcf; a7d716d198bf6bb3d32ba364f722de52 4c9a1fa66d2d0cf7935d45e83b9ce326 eb4d0977f59267444076e68cccbe3d74; 310d8bb131c4bed327529185c4d46db8 2742ea95019b5f186c3c848744743d4a 164f6124305fe1cb4b6e150280a050f2; 70f5bfbf5f18a3deef4230b875b3a0af 93c9240145720297b96a404941792a21 e33c9bbe1a6aa149562870f134ca8a8e; 1ff7c9eaebd3b76791632b609a962992 bc3aca2e99d965238d8433eafd717279 a3cd03c4720ad2441ce7188a67e75beb; 3d1693836d0964dea42c5e80a4307b6c aed5dcd2e9e918e0ff9577f5ceb66256 93c34f5184e07c3e5bb929756a86193a; 35706029aec609b55c48ab09df59744e 6d9b5b4dbeb1779580cba9bbc9fb8921 58eb3b6410777e20dc8302b216a2fd6f; 7a166f842cc6c36c09508e2b23dbad97 01e3fc1cacc040e96217a7281a4273d2 7bf59398800683856b4729033999de45; 510ce80a4ab0f9eae5f6c3281e7506c5 06351138a1ecb6be56a84f1b28a26368 5739f932eb5c4f54b35e8c3336d765ad; 31bfc6590de44898c40c31bb3aaddebc 82b37993094c9ff6498c55ba1cced0f8 b30cbfca04a8d76e8d80640126630e44; d00d48a90eb9e89586cc3566b28fa5ea 0f502f973c2f17ad79543b20a92f2905 df5d673e3296ff38ff980e461ba08cef; df63dead9d7aea0d3fca68123b0812ae ae059fd909978bc6b8824b04e113fa2a 7166417494ed61cb87482316da1be884; 4c982bd2b93a027fd08ad69227a51506 bdc1112c061be0756685473011c61067 f1593afebf21e20ab60f91a236630561; dc241c84816a1a50a7ad21519e6abd3a f2c4d8d96bf32d999fdc7c37cfddac67 2ee0c45dea9937c938715d6651b7115d; a466ee3984566e4947a28704ecd99d2f 0a5e90153ae473c9bee43aafaec08446 ae387e2cbeb21d80f946bdab42191969; 8698e5d4eede21f8d4791d69fc4cfb22 7b4bb531b633dfcb80d9bd35e10d4f6b fdd350e558edfe3354a0a05c1d41b449; 4d2462e835a51ee5be30ea2bc6abbb1b fb36217f8dd0fe234bb7dcb778130156 b6124397b875e0c6f587369cbeb8ba4d; abf5c76c26bf952d64667f5049bbe6b5 436fbd0ad52336b0c9d2987ac79d2909 e89a7a66f39ca39dadb4e72a8e26cfbc; 8943b34ab9bc6f6839c09a9852492238 38b2304265ac16c80f84be3d61a82628 b1f18308dc1079a0364424a533e10410; ae2730b3374140b33de67be248766cc7 1831ce84d756a4bda1c1ee22ed047d61 b616fe37e017e40e9c2795c0a57211a6; 4a87ef0f6bc691cab6d79253876ca89e c0c2f4c479ffc90aeafe0598a4ac4d4b 8a451bcb123958c05c2997cb23c0e5d5; 63b2aad38a2d3b4cf681d892ed460110 d707531874bbc8fa22a49fd26142c631 b4b5f9cbfe96f3b6d42547408c04c721; f44ef4d8cd19e4f6f6264c59360de94e eb619a0c5fb3c490d382ff4a5d47a0f9 1f2f6ed492aa206625a4b3136b4a49b7; 786fa5572011847269ba3f51db1226 a1c8ac92fa365013326e0daac2dce7b9 a1b0c337ad1641974007b7959307f59f; } mul { # --- Simple sanity tests --- 00 05 00; 01 05 05; 05 01 05; 05 00 00; # --- Random data tests --- 7fb838a8a0a95046b9d9d9fb4440f7bb c1a7bd3b4e853fc92d4e1588719986aa 207ccad257b4ed64447158315bfb9aca5cbc5622cfb8fcbb1380eea1bc5c624e; 8d68905434b020ccb849e17a03a5c441 d2a104aaf523699c1cc7a93174d21d9c 6c75a24ff82d63e8f9425d862be997fd7517511b2563189a6f0a238b33e60a9c; 027aa17c97dfa80bbdef9f91b243c6e6 ddba1a223cad8a39e9c986879ad21b75 019d5567c392730cf1fbc627f1de7ff20438e649e5ba7e7299fcea4ad4c7ac5e; d668328b2594570198fd840b4783f5d9 f474e9ef071c418acf1f71b9cccdd179 4a7d1a3b7b904b1b135cb89e6f37a38d7f20fcc9bd7b9ec9f0c38114d2a742e1; 509e024b27fb8b3655da3938d0c04f92 3fa219832f73843c0ae8c4f4715f633c 0c0ff0782f813600eda5b73c0d2deaf072ed8b9e98e94991bd2578b776063fb8; 13e8b9d83c66bc5fa56e2debbab3c9c2 6bb190b76e090abd7f6375a6921ad17e 0626e9a14f2ada51ad47ae2385248d361142636fed5f062be9fa0a0567f14c7c; 3c98c1fd7d6e4ff9adae43a38ed0f2b3 101f88d732a51bbe40080cabd06002 03cb092534c593a9f834c21f1af0da8e604c416ec14e3fca1a72ba4c2b4566; 2774d74b7453e63c2d314e0be52eaf79 54c0dc1a0bedbafcb0b707fe5e496a20 0b2dd510554c5442d5871586392f81d08322aa0cf052f64ee507d59ef730b520; 75b9d1662c48f8c40ee4e9b3138a0b59 0ca3e9d4c75a6e2b493d7efb8554e9f8 024ff62a8d33d8c51560088e304cc9b13ccec97899ba476083b86f8c1dc28fb8; 501591c68468a7d8ecfcae3f419ecb52 b0ad24cd246361f779e8317e94977c57 2728b02f09e5cfc78d1b5e45d0b65d58aa353e8e5a928dc80a3fd523b464291e; 6fa69209a292924f04fb5b3469a1068b d9a06e9ac90f02ad095ff84f30a9addd 29e8250c13db619580291b6d03317cf82d3f97c58aa1dc247c4d4ad25870b80f; ce596f2830ab988dfa7dc0add68214af 860c30b9a27c7b2759666dd71ec578c3 658c3e0257c6986e4d0b7fd1c2296182f48c395f7a01acdb623702a83c0be9b1; 862361325b5f7a6b506b948d55697ce3 95142973169fbae5410a22bb88ca63ee 49e7469f9f53f214425455d15b9b5cc6309617f18db3e02b98aabe1b134dbd72; 237495a82a6755689df073af2a56f88c ab46613ddf7787fd1be42272fcb1be44 14a2fbfb8b9621a60325ba6fc7c979b0caa46c7a5ffb865d01859f058621c930; 6b2d8d2b513277cfb03d8a5731234a3d 9cc41fbd7189a3b5b0ff2f3746eb9bc6 31ff31cfbb97615558ec4becb92036b6b8715ab6df7ed6dc18caff6e0641d24e; af7baf1a8ce5d42eca4353de181d085a c59bde6136dda59a839605252d1dd390 7e281956a0ae84282a4a600a9a434bcca6f89a9a661f03ac47dcd20ef2b066a0; 566a7c0f9adc5a021c1759e2c80708c0 28d1c20f2b8613b5e1ba8e3005aef30f 0845bd0d5a46401395876a7992ee9762842ea8d7202222e29b973a042a703c40; a7d716d198bf6bb3d32ba364f722de52 4c9a1fa66d2d0cf7935d45e83b9ce326 2e09cac5254876c45a7dacddd71f13b394ca8ab95413ab681f554c50737839ac; 310d8bb131c4bed327529185c4d46db8 2742ea95019b5f186c3c848744743d4a 06baa3a8c8864b5ea1f998b6138db08924f3a49ddf1ecc22fa93110323aac0b0; 70f5bfbf5f18a3deef4230b875b3a0af 93c9240145720297b96a404941792a21 3fc325d1e5c637ab818172e3fdb51be97a28903ee232125797ead652b391734f; 1ff7c9eaebd3b76791632b609a962992 bc3aca2e99d965238d8433eafd717279 0d78c92f0d674c76fd9e71ace29b1ca58da8a67530a148bcf8815b395de46ee2; 3d1693836d0964dea42c5e80a4307b6c aed5dcd2e9e918e0ff9577f5ceb66256 185d9d9d173a78a2ea8a86cef12ac9a560f5c1fd96a3e40d47f2d34798d02ea8; 35706029aec609b55c48ab09df59744e 6d9b5b4dbeb1779580cba9bbc9fb8921 0aa132382fb96e788f85a52888a8ef7fa645e17dfaaf35444566c2a56584c38e; 7a166f842cc6c36c09508e2b23dbad97 01e3fc1cacc040e96217a7281a4273d2 567d64a30f28d71578a9ced5624a950fe065d706cf3318c80c3883f126c51e; 510ce80a4ab0f9eae5f6c3281e7506c5 06351138a1ecb6be56a84f1b28a26368 01e80b50adeebb3790d5249eb4170d093b88ab1d42d0737d3dad6825e181f0c8; 31bfc6590de44898c40c31bb3aaddebc 82b37993094c9ff6498c55ba1cced0f8 18a13563df977554b9d470e4c5009f7ec1c62f561a9cb2041a51e7af81e2f8a0; d00d48a90eb9e89586cc3566b28fa5ea 0f502f973c2f17ad79543b20a92f2905 048955ee72a928a69b16cc80502568ece68198c8947935283c725a2e6f00c842; df63dead9d7aea0d3fca68123b0812ae ae059fd909978bc6b8824b04e113fa2a 706606ae02e140bbf3783da276f47110834defb48e89270797e86251e27369ec; 4c982bd2b93a027fd08ad69227a51506 bdc1112c061be0756685473011c61067 283989fcc502efa3d0006b67465f3ebe7950cac8d54daf45215e09bd6058ea52; dc241c84816a1a50a7ad21519e6abd3a f2c4d8d96bf32d999fdc7c37cfddac67 4ebfbaf107e1e74583f1a0c6de06f2a4c230c1a96329d8bac1d95d122ce8a266; a466ee3984566e4947a28704ecd99d2f 0a5e90153ae473c9bee43aafaec08446 044e0764b72ad37e86d87cca3b32c4d6797a7a9b2e8ab414e0c33617d2113922; 8698e5d4eede21f8d4791d69fc4cfb22 7b4bb531b633dfcb80d9bd35e10d4f6b 3c8785b738a800087fb26dc2562ebd676188a1f5e3b60d51463172a5ef5906b6; 4d2462e835a51ee5be30ea2bc6abbb1b fb36217f8dd0fe234bb7dcb778130156 3a1f7deaeed3275707c611b83b64b4514d9b8508ed4b0827a7001be9488af62a; abf5c76c26bf952d64667f5049bbe6b5 436fbd0ad52336b0c9d2987ac79d2909 2b38ad58100db6e6bffc52c6e7622581cc5daf65c0b4f7b87dab8313af786e1d; 8943b34ab9bc6f6839c09a9852492238 38b2304265ac16c80f84be3d61a82628 1daa464b09e5db4bef2c404c1be1fb6d6e0c5911ee10a1d7eba409e33b26c6c0; ae2730b3374140b33de67be248766cc7 1831ce84d756a4bda1c1ee22ed047d61 0f8cb866e66f56fdfd530784d441c8b37d6e0b2a87e3ea6a0a2d6f4387e076e7; 4a87ef0f6bc691cab6d79253876ca89e c0c2f4c479ffc90aeafe0598a4ac4d4b 37d54041b0e7d641ee3495897524f1ef4a4dad9671261e4aa03fba0bfadb0cd2; 63b2aad38a2d3b4cf681d892ed460110 d707531874bbc8fa22a49fd26142c631 2e25fc4f13fd3839c0698ca373d24ca2bfe572ad3ae46a50c1294237d30c5210; f44ef4d8cd19e4f6f6264c59360de94e eb619a0c5fb3c490d382ff4a5d47a0f9 5f20a07a81d4ed9f3d1fd9fef61318d01a58ea810b12ae3976dbe6c2406b2a9e; 786fa5572011847269ba3f51db1226 a1c8ac92fa365013326e0daac2dce7b9 336397c17a1fde4e90cbb9113a5fcd48239d39fee0807e66f8622d97b144b6; } sqr { # --- Simple sanity tests --- 00 00; 01 01; 03 05; # --- Random data tests --- 7fb838a8a0a95046b9d9d9fb4440f7bb 1555454005404440440044411100101445415141514155451010100055154545; c1a7bd3b4e853fc92d4e1588719986aa 5001441545510545105440110555504104511054011140401501414140144444; 8d68905434b020ccb849e17a03a5c441 4051144041001110051045000400505045401041540115440005441150101001; d2a104aaf523699c1cc7a93174d21d9c 5104440100104444551104051441415001505015444105011510510401514150; 027aa17c97dfa80bbdef9f91b243c6e6 04154444011550411551554440004545515455415541014504100550145414; ddba1a223cad8a39e9c986879ad21b75 5151454401440404055044514044054154415041401440154144510401451511; d668328b2594570198fd840b4783f5d9 5114144005044045041141101115000141405551401000451015400555115141; f474e9ef071c418acf1f71b9cccdd179 5510151054415455001501501001404450550155150145415050505151011541; 509e024b27fb8b3655da3938d0c04f92 1100415400041045041555454045051411115144054105405100500010554104; 3fa219832f73843c0ae8c4f4715f633c 0555440401414005045515054010055000445440501055101501115514050550; 13e8b9d83c66bc5fa56e2debbab3c9c2 0105544045415140055014144550115544111454045154454544450550415004; 6bb190b76e090abd7f6375a6921ad17e 1445450141004515145400410044455115551405151144144104014451011554; 3c98c1fd7d6e4ff9adae43a38ed0f2b3 0550414050015551155114541055554144514454100544054054510055044505; 101f88d732a51bbe40080cabd06002 010001554040511505044411014545541000004000504445510014000004; 2774d74b7453e63c2d314e0be52eaf79 0415151051151045151011055414055004510501105400455411045444551541; 54c0dc1a0bedbafcb0b707fe5e496a20 1110500051500144004554514544555045004515001555541154104114440400; 75b9d1662c48f8c40ee4e9b3138a0b59 1511454151011414045010405540501000545410544145050105404400451141; 0ca3e9d4c75a6e2b493d7efb8554e9f8 50440554415110501511441454044510410551155455454011111054415540; 501591c68468a7d8ecfcae3f419ecb52 1100011141015014401014404415514054505550445405551001415450451104; b0ad24cd246361f779e8317e94977c57 4500445104105051041014051401551515415440050115544110411515501115; 6fa69209a292924f04fb5b3469a1068b 1455441441040041440441044104105500105545114505101441440100144045; d9a06e9ac90f02ad095ff84f30a9addd 5141440014544144504100550004445100411155554010550500444144515151; ce596f2830ab988dfa7dc0add68214af 5054114114550440050044454140405155441551500044515114400401104455; 860c30b9a27c7b2759666dd71ec578c3 4014005005004541440415501545041511411414145151150154501115405005; 862361325b5f7a6b506b948d55697ce3 4014040514010504114511551544144511001445411040511111144115505405; 95142973169fbae5410a22bb88ca63ee 4111011004411505011441554544541110010044040445454040504414055454; 237495a82a6755689df073af2a56f88c 0405151041114440044414151111144041515500150544550444111455404050; ab46613ddf7787fd1be42272fcb1be44 4445101414010551515515154015555101455410040415045550450145541010; 6b2d8d2b513277cfb03d8a5731234a3d 1445045140510445110105041515505545000551404411150501040510440551; 9cc41fbd7189a3b5b0ff2f3746eb9bc6 4150501001554551150140414405451145005555045505151014544541455014; af7baf1a8ce5d42eca4353de181d085a 4455154544550144405054115110045450441005110551540140015100401144; c59bde6136dda59a839605252d1dd390 5011414551541401051451514411414440054114001104110451015151054100; 566a7c0f9adc5a021c1759e2c80708c0 1114144415500055414451501144000401500115114154045040001500405000; 28d1c20f2b8613b5e1ba8e3005aef30f 0440510150040055044540140105451154014544405405000011445455050055; a7d716d198bf6bb3d32ba364f722de52 4415511501145101414045551445450551050445440514105515040451541104; 4c9a1fa66d2d0cf7935d45e83b9ce326 1050414401554414145104510050551541051151101154400545415054050414; 310d8bb131c4bed327529185c4d46db8 0501005140454501050150104554510504151104410140115010511014514540; 2742ea95019b5f186c3c848744743d4a 0415100454444111000141451155014014500550401040151010151005511044; 70f5bfbf5f18a3deef4230b875b3a0af 1500551145554555115501404405515454551004050045401511450544004455; 93c9240145720297b96a404941792a21 4105504104100001101115040004411545411444100010411001154104440401; # --- Regression --- 01f081e69f45d3254530766ab98d55fa612c7bb27ea31bc2621d894be9c0b196b3 0155004001541441551011510504111011050015141444454140511111554414010450154545041554440501455004140401514041104554415000450141144505; } div { # --- Random data tests --- 6e0e2a282a5411ae76767ed1103deef069ef4ed3a14ff24b 5385621c6661aaa35a24150d2c08332e 01c2334cc957151dc7 398c4111da6d06cdf3d83704ee403101; 785e80e9711074a8412abd48da670731ea 4c5d348767009ea85f25f7ea02ef7be7 01c4 0b17de61cc808487285b72f14fa23336; d921e3736edd0d111e56c51cf4e4c343cd690dbaeb34194592ca2b80cc7e c205a3c1faecfa3a74f7838e20c5678f 012492f38367090dbc739e8a15c414 34570d4431e79cc4d3ff2a583c3a56b2; 06e7333745e54278092c9fee2cd95768e4e343013e48fe88660cbdce 10f02ba313d1c57d8cf04fa2e760f19a 6c1708dd11c7305e9d0a1974 0dd6757486f880c40590ed673c22ddc6; bf4adc5bd775679384d763216edc12157afec6eb4d2435a2fc793183fafadc 9ff35b5c87471da1e56600203f11ae65 014fd82ad3ab0ef9bda71f5d88ab3fe1 3b599b787383608d59ba518513d7d0d9; 0377c80101957a0c0044ee9ae96e8a7cc785a629c1 7ca5d5ef2a981b83417db75f9616e0ff 0b71080c88 2d21297ee7c68552c11b6199fa1d55b9; 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