resolver.o random.o udp.o site.o transform-cbcmac.o transform-eax.o \
comm-common.o polypath.o \
netlink.o rsa.o dh.o serpent.o serpentbe.o \
+ f25519.o x25519.o fgoldi.o x448.o \
md5.o sha512.o tun.o slip.o sha1.o ipaddr.o log.o \
process.o @LIBOBJS@ \
hackypar.o
# version.o is handled specially below and in the link rule for secnet.
TEST_OBJECTS:=eax-aes-test.o eax-serpent-test.o eax-serpentbe-test.o \
- eax-test.o aes.o
+ eax-test.o aes.o x25519-test.o x448-test.o
ifeq (version.o,$(MAKECMDGOALS))
OBJECTS:=version.o
check: eax-aes-test.confirm eax-serpent-test.confirm \
eax-serpentbe-test.confirm check-ipaddrset \
- msgcode-test.confirm
+ msgcode-test.confirm x25519-test.confirm x448-test.confirm
version.c: Makefile
echo "#include \"secnet.h\"" >$@.new
./msgcode-test
touch $@
+XDH_FUNCS = x25519 x448
+x25519_FIELD = f25519
+x448_FIELD = fgoldi
+
+$(addsuffix -test, $(XDH_FUNCS)): %-test: %-test.o %.o
+ $(CC) $(LDFLAGS) $(ALL_CFLAGS) -o $@ $^
+x25519-test: f25519.o
+x448-test: fgoldi.o
+
+$(addsuffix -test.o, $(XDH_FUNCS)): %-test.o: xdh-test.c
+ $(CC) $(CPPFLAGS) $(ALL_CFLAGS) -c \
+ -DXDH=$* -DFIELD=$($*_FIELD) \
+ $< -o $@
+
+$(addsuffix -test.confirm, $(XDH_FUNCS)): %-test.confirm: %-test %-tests.in
+ ./$*-test <$(srcdir)/$*-tests.in
+ touch $@
+
check-ipaddrset: ipaddrset-test.py ipaddrset.py ipaddrset-test.expected
$(srcdir)/ipaddrset-test.py >ipaddrset-test.new
diff -u $(srcdir)/ipaddrset-test.expected ipaddrset-test.new
$(RM) -f *.o *.yy.[ch] *.tab.[ch] $(TARGETS) core version.c
$(RM) -f *.d *.pyc *~ eax-*-test.confirm eax-*-test
$(RM) -f msgcode-test.confirm msgcode-test
+ $(RM) -f $(addsuffix -test, $(XDH_FUNCS))
+ $(RM) -f $(addsuffix -test.confirm, $(XDH_FUNCS))
realclean: clean
$(RM) -f *~ Makefile config.h *.d \
+++ /dev/null
-### Test cases for arithmetic mod 2^255 - 19.
-
-add {
- ## Some load and store tests.
- 0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20
- 0000000000000000000000000000000000000000000000000000000000000000
- 0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20;
- ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
- 0000000000000000000000000000000000000000000000000000000000000000
- ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f;
- edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
- 00000000000000000000000000000000000000000000000000000000000000
- 00;
-
- ## Random tests.
- bb8cd45b6185ee8ca34c4d7560425fd5c2fc22871113c6427198e8f9439a8523
- 98f16cc5e44b7228b7f3b6ed91930d68bba5071157d19259c48034d2817e30d5
- 667e412146d160b55a400463f2d56c3d7ea22a9868e4589c35191dccc518b678;
- 8ef938a7b07a668c234c2c5bb65115b8e2e22a3703cda51c70e7a56a075d4f34
- 1f3cd4bf4f768058c4de1aa5aeb90e227338e308c7a0a199050ca1c38d1e034c
- c0350d6700f1e6e4e72a4700650b24da551b0e40ca6d47b675f3462e957b5200;
- 8b2c4678fd4f8b7254eea925e4da8d472db7f97d349d1b2134ced884b747ea7d
- 58dca7954f843b7e4dc56b048903e7728df66ef6824f29932b2f568c995ddf2c
- f608ee0d4dd4c6f0a1b3152a6dde74babaad6874b7ec44b45ffd2e1151a5c92a;
- 9cd64f0cf439bccd224f7a789396b9f888998d1ba9759c93a5d6a27f45db0e67
- 12f724a127052612081e27e3915db9a540de9b64c566edc313914ad94424464e
- c1cd74ad1b3fe2df2a6da15b25f4729ec97729806edc8957b967ed588aff5435;
- 82e59fa9703b2557303665fe24e3d46259da974d78155f05c6b8891f92fc808d
- 98a073ec62baf1354b681a3c78d62df1698ed5077dbe2bd68ba4a6e0233e3447
- 2d861396d3f5168d7b9e7f3a9db90254c3686d55f5d38adb515d3000b63ab554;
- 686ceca221d0f4c6d98287e97c506085064e7b172672b88ee555dd0308bfd309
- 60adc3675be5e6c2921a74b5b8b24b0a26341a19567dae713a720786bc72df16
- c819b00a7db5db896c9dfb9e3503ac8f2c8295307cef660020c8e489c431b320;
- a50a5b82d2451ed9a5844585712202a6dc0e0230501d57b8c00f4bd4771aed9e
- 98d71b8b140aea02ad47d9b19e47d2a03257adc1d5c47611adc667652b78c87c
- 63e2760de74f08dc52cc1e37106ad4460f66aff125e2cdc96dd6b239a392b51b;
- 1637e3eb4c5d173b8cba29bdb13b930f48ae0599e354819f8ae0cf70f0f7b61b
- ffeef1767df70de7a4a75864c03935d7934c6cf5228b9c3000813ed0e55447e2
- 2826d562ca542522316282217275c8e6dbfa718e06e01dd08a610e41d64cfe7d;
- 9e8bf571c45bc5f37c9126e70498698978903b94d9c6712baef91894ab924fda
- 480f68f8ee644bfb64e3fa514eaf16aea6368da6813802c4c3e6ce8f6540dfa3
- 0c9b5d6ab3c010efe1742139534780371fc7c83a5bff73ef71e0e72311d32e7e;
- df9bdbd478bd1ec1ff078cdc76f2a5fcdc52f0198ba412e0b5a10e664b175dad
- 080bc47bd2fb2ba3be6a07a02162f76020479f2cc6469c6766df23acf9517896
- 0da79f504bb94a64be72937c98549d5dfd998f4651ebae471c8132124569d543;
- b6dd223f5d8a3dc5dd6f7a0679173ff656303017a17f17f4086fd4ecd3a23020
- 560d827aad23c26fddbfd16c3514a9b518a4586d6e3c5739860743662b14f4b4
- 1feba4b90aaeff34bb2f4c73ae2be8ab6fd488840fbc6e2d8f761753ffb62455;
- 1d59691a670c40143ca7f7e693389ab64a911b17a2fe4368fba9097b40864162
- cb42d3ba12a8b90ef1622ea09241d3157c515043040914356d6d99b95089fa07
- e89b3cd579b4f9222d0a2687267a6dccc6e26b5aa607589d6817a334910f3c6a;
- 82b48877e9c8c18edb52db3e1417d894e572a8edd84335d93c642158f2a926e0
- 93c6a39c1ef97f318c3b13bf8e77bea653b2eb130bdf43b00a0e0e40a362e819
- 287b2c1408c241c0678eeefda28e963b39259401e422798947722f98950c0f7a;
- a6137481c5b9b8bcb3c87f3868c5f812da71aeb21c5ce18a508773120ea4f659
- 812eacdc5a8eb2e8fde0c23a19c2e33466d754ab3109d28ff48fb41dab8066e2
- 4d42205e20486ba5b1a942738187dc474049035e4e65b31a45172830b9245d3c;
- 598fb4096a7054e317e66bc9633d56dfcaeabc31a7bbc9da13074b242edeca09
- 929b1bddd55c99b06b99a3ffbac5adc1d28823cb8354adcfea60b7a87fe32039
- eb2ad0e63fcded93837f0fc91e0304a19d73e0fc2a1077aafe6702cdadc1eb42;
- c42183d915267e655409326b1b77a042d8918feefd75dd3d18551f398ef426e7
- e3729a6110686ffa57d1c69284a60fb36173148a89b1810d04614f03c8f90084
- cd941d3b268eed5facdaf8fd9f1db0f53905a47887275f4b1cb66e3c56ee276b;
- 67b8b7ea7e7f9f52d686f906589c919b293bff6d3127e7ac581dc1630af7bcc1
- 99d18d2190ef0da148b843c014fea3efea59f9adbb28fa38407191fcc24e029c
- 268a450c0f6fadf31e3f3dc76c9a358b1495f81bed4fe1e5988e5260cd45bf5d;
- bc3422b79e01234fefd3637a19bfb2dd0a83bf2071b27bf5389918a50e579294
- b665dffe064aceffaabba94697cf27054d016427ebaf68858c5250cc5c1b770f
- 859a01b6a54bf14e9a8f0dc1b08edae2578423485c62e47ac5eb68716b720924;
- d419cbfd5514d9cffa1765b9f273fd7492000a3d110586ed0b8137760a2e808e
- bcb52f423917c074464b2078d1c3f883fb793b02411b8b13c08266d17658a499
- b6cffa3f8f2b994441638531c437f6f88d7a453f52201101cc039e4781862428;
- 2f7eb8051d16a52b797e2618881bd0857eb205bf97e581e09680f86308f7e082
- 9ceda63b29c3bfedbb6f3f0be2f3f2bd285bb9d21620c3edde69629b00b1c3cd
- f16b5f4146d9641935ee65236a0fc343a70dbf91ae0545ce75ea5aff08a8a450;
-}
-
-sub {
- dfb53b4ff67c742728c564d50ae20e3e3617804478a95e511d37ff4dcf04fa3f
- 9bc2006bb07dcf7bf0b461e7599e3c3cbfcdf6b6f41fc1db2219767ce9c43bcd
- 1ef33ae445ffa4ab371003eeb043d2017749898d83899d75fa1d89d1e53fbe72;
- 432ec65076c94af41e054a43f64fe4eecb23f50a303fd38e0172e4e846e67394
- 3642c84c5f5fcd5a0f3f2e37114beb8e7b614c39d354f1b32fe7e9cc918da5c8
- faebfd03176a7d990fc61b0ce504f95f50c2a8d15ceae1dad18afa1bb558ce4b;
- 1725a986c03d9d53346ab2064545ba90ab38191e19ded9ecc2f44d422ab04150
- 11a20caef0239e4ffb5ab2f7d3576633a0d4a08c78a02f35765fafff5398c48b
- f3829cd8cf19ff03390f000f71ed535d0b647891a03daab74c959e42d6177d44;
- ec5d5cdfc8183f9aa3d47634d16427c3a399e2166bfa4ddfecbc911e5f33ceba
- 649f8e29c483765c4232c369fd0e50a0026eac306eb4bd6924e7b4d7d3f73e26
- 9bbecdb50495c83d61a2b3cad355d722a12b36e6fc459075c8d5dc468b3b8f14;
- cc9927c331884612d8fab9a2262ad0db38f55e0cc587e45b972ea8b1f504450d
- 30c5c9f8d5491a350051bbc6bb78e568d98061b43cb1797cd3d7454e8a7aa1bf
- 76d45dca5b3e2cddd7a9fedb6ab1ea725f74fd5788d66adfc35662636b8aa34d;
- 662bc96da214e50f13e07a15b8e0b78f512c744a66975b2170ba28079ca7d03b
- 84b072295dca0abef806ec5c1e594179dc5e9eb172c178af1902a42ea7a3728e
- cf7a5644454ada511ad98eb89987761675cdd598f3d5e27156b884d8f4035e2d;
- ed6f947157492eccc5fb1d0542593d58a47e2d87355dc0378e65376163fcf457
- cb27e06c5ebf42a61caadd4fb222799772aaef31487bf61ac84c15f58af265d3
- 0f48b404f989eb25a95140b58f36c4c031d43d55ede1c91cc618226cd8098f04;
- 33c2fc57d8ffc29e6d670cfc4e25b695320055cf443ade53f49f6c23c452f644
- 3814860ccbb4391894c107961170d3af1594988a7972b97d0fb2169631b216fa
- d5ad764b0d4b8986d9a504663db5e2e51c6cbc44cbc724d6e4ed558d92a0df4a;
- d0fd0d5e73be5c534aa37645aecc49b202fadb30733f16d0de719a70bec2c751
- 910c7b4d317397cff70c91e5bf8ec42ba1700b0866adbbfe99b7fbb2c46c7093
- 2cf19210424bc5835296e55fee3d85866189d0280d925ad144ba9ebdf955573e;
- e0f8130d6b0125e824b254ed57edc59455a8a4704a3f14a4ae8dbf8721595468
- 4e4f69af6f85742068ad70225e8850c85aef3d3fb3ba3b52c2be979db4eb979d
- 7fa9aa5dfb7bb0c7bc04e4caf96475ccfab866319784d851ecce27ea6c6dbc4a;
- 204d5f69ebab4597d2aa9295ecc2959480a2ab0b225674cc8a147cf7c1e59717
- 3abdd29c94819ec7507673bd5cc4fb267fcb17c1509abd5e462b46b012f815a8
- c08f8ccc562aa7cf81341fd88ffe996d01d7934ad1bbb66d44e93547afed816f;
- e2d75c74060aee615b6cfc815c8618f826b07c4987e10f20d27ff74eab3ac7d0
- 7a06b32d284b5faedb91dac8e94cb7f76c678bad81ed78ac4e75eb9edd8d11e9
- 55d1a946debe8eb37fda21b972396100ba48f19b05f49673830a0cb0cdacb567;
- 8d50b0573b0bb945bf128e1a9a37c151e991581673cf6295db5a6223d428ac9d
- 47ca477794fdf378f3486355b5348960ee957470b8c74d62199ac48b4478c4ca
- 338668e0a60dc5cccbc92ac5e40238f1fafbe3a5ba071533c2c09d978fb0e752;
- b66b49190a99456aaac5c33beaec423a3fa79a84df0f00122aed29151185ceef
- 13c06f7941743bfa261845d99772fd0d5f1a8258aeda53b161505ed8bdca1bc8
- a3abd99fc8240a7083ad7e62527a452ce08c182c3135ac60c89ccb3c53bab227;
- 44ac89bb8d4de1a8756b00401236ea4e316a2fe637f6e5f052576da70c29c4ea
- 05dd39ac32768d899b80ed10279aa10d6316d60ab2d061e877dc5f21ce8e1140
- 52cf4f0f5bd7531fdaea122feb9b4841ce5359db85258408db7a0d863e9ab22a;
- ef0f6c7f56ff22260c66d583f79c7f581181d3a0f3167c93786bb6c89de4372c
- be934afeffaf5e6755a92e6606ffd054627dbe1b18ad6ae543363a01da605512
- 317c2181564fc4beb6bca61df19dae03af031585db6911ae34357cc7c383e219;
- 773e0db8f86c5182b5f51d10376f42cde275dac6a646ab1cab065760e045107e
- 3f92ddafdfe67d357b4f9b61807bcb8b0f1f6c2dacba27902f48fc15a31db606
- 38ac2f081986d34c3aa682aeb6f37641d3566e99fa8b838c7bbe5a4a3d285a77;
- 34860a848d0afb20e43f4a36b3c8941f5821864216da9cb3ce1a11f056565a3d
- 9dfed86048acd45ec0009c1ba3b20a1ba645ec141070fd8ae41d25e159bbce9f
- 84873123455e26c2233fae1a10168a04b2db992d066a9f28eafceb0efd9a8b1d;
- 854ba91672ae1b8f6c29395dcfa4f3514ed97dc2c9e1e419f926825619fac55b
- 7a700653ad355caf17f89045ecfb3ee821194b54048e55d8eed41fea2b0a22ab
- f8daa2c3c478bfdf5431a817e3a8b4692cc0326ec5538f410a52626cedefa330;
- 0c66b3d8c3916940b70d381d232ba8aecfe27e3ae63fa6cbb287216708f224f0
- 477186656245c4083dff93a95c6e5deb707916e52cd74abbd522743c24c53088
- c5f42c73614ca5377a0ea473c6bc4ac35e696855b9685b10dd64ad2ae42cf467;
-}
-
-neg {
- 0000000000000000000000000000000000000000000000000000000000000000
- 0000000000000000000000000000000000000000000000000000000000000000;
- 23d767107e23d5ce14189cce939c4b5334d6736da3da40a715236b9d8319efc1
- b72898ef81dc2a31ebe763316c63b4accb298c925c25bf58eadc94627ce6103e;
- 9bb944cfb58b186cc551e0a0eca74528c7618ff47485bf6a723f43d990f69f6e
- 5246bb304a74e7933aae1f5f1358bad7389e700b8b7a40958dc0bc266f096011;
- bff36d2aa923d5a9af5398e2cfcba4acdf3c3181a8ff00b8a1099cd97a4e8542
- 2e0c92d556dc2a5650ac671d30345b5320c3ce7e5700ff475ef6632685b17a3d;
- 1b65a51746eabb7c0d8d9844dda03bde7128407e94661db2d5fd9c0f3790d120
- d29a5ae8b9154483f27267bb225fc4218ed7bf816b99e24d2a0263f0c86f2e5f;
- 88f4cf29a610c4465f63a272fde2f19a4874a70a0829885014379b637ab0e82d
- 650b30d659ef3bb9a09c5d8d021d0e65b78b58f5f7d677afebc8649c854f1752;
- 94ca4d567efcf088e6bf1cb3698f6b8bf2164db4f523e28781aebfcbb501ec63
- 5935b2a981030f771940e34c967094740de9b24b0adc1d787e5140344afe131c;
- 3f8d7ae4f1698921524e49ccb2ce4459e4c048f76f04c5e60179f5417d2d52db
- 9b72851b0e9676deadb1b6334d31bba61b3fb70890fb3a19fe860abe82d2ad24;
- 1eaa0c45af0d8f85d865cc66ff3d0dc3355f1ac36821cdd95a6b9232a27f9044
- cf55f3ba50f2707a279a339900c2f23ccaa0e53c97de3226a5946dcd5d806f3b;
- 33e142c78ee87a7980ade6c796e7ff949cee6d3af0415bf5b6901f84c2db910a
- ba1ebd38711785867f5219386918006b631192c50fbea40a496fe07b3d246e75;
- 24a0c185c47787caf1a666a62002a503f2a3e591e5f2946e148a47b9b114a884
- b65f3e7a3b8878350e599959dffd5afc0d5c1a6e1a0d6b91eb75b8464eeb577b;
- a8bd0c1c3f219a97de87b22e8cb3eb5daea33b5646589b6925ec4ec83ca37455
- 4542f3e3c0de656821784dd1734c14a2515cc4a9b9a76496da13b137c35c8b2a;
- 1a340d2679ca205f6b198cff4bffadcde1afeeed124ef0c574655dbe8732b681
- c0cbf2d98635dfa094e67300b40052321e501112edb10f3a8b9aa24178cd497e;
- da43c139a1f92ba1b5fc996befe5218368eac3c46b42e98a9cca8b8f6f1540f5
- 00bc3ec65e06d45e4a036694101ade7c97153c3b94bd16756335747090eabf0a;
- 81aad864a31e5f4afa32c29eb97f22c103dfe5b1323db05fc9b1545312aa6c0d
- 6c55279b5ce1a0b505cd3d614680dd3efc201a4ecdc24fa0364eabaced559372;
- 28231ad38d214f1421df7005eddb4f4c12e522b10d1cbcd10ee26dfcc222a62c
- c5dce52c72deb0ebde208ffa1224b0b3ed1add4ef2e3432ef11d92033ddd5953;
- c1facefef35c1ed00db767ed0281ebfad1f3c915c6649f5e1c26a6f3f9478b43
- 2c0531010ca3e12ff2489812fd7e14052e0c36ea399b60a1e3d9590c06b8743c;
- c2e4046e7200386ca2afea8ecc9c98c105fbf6e31b598e21e482796a69956040
- 2b1bfb918dffc7935d5015713363673efa04091ce4a671de1b7d8695966a9f3f;
- a42fedea4eac90580a0bbcb0491a7e8cc82de7a99aa74ed35f705c536afa0236
- 49d01215b1536fa7f5f4434fb6e5817337d218566558b12ca08fa3ac9505fd49;
- d1ab8c50d54279ceac870d0ce4a2af56bf8c03e87482dcb7775183a4908ac739
- 1c5473af2abd86315378f2f31b5d50a94073fc178b7d234888ae7c5b6f753846;
- 1ffd85fa5ead53ff509756fc28051ef65eca040303b65f7b5b7e1d1a8508e030
- ce027a05a152ac00af68a903d7fae109a135fbfcfc49a084a481e2e57af71f4f;
-}
-
-condneg {
- 5330763b29dff20501a1d6c64025c36279083473721f5cacf89168189ff9810d
- 0x00000000
- 5330763b29dff20501a1d6c64025c36279083473721f5cacf89168189ff9810d;
- 9d9c36e2126d911a503e1cc1a8489ee74949ae2a8408dc7d72ed0d75e4350545
- 0x00000000
- 9d9c36e2126d911a503e1cc1a8489ee74949ae2a8408dc7d72ed0d75e4350545;
- 47da10abec2cb54c5890e5945999deb1d89ffd268bbbe2eafc86f1acc8bf5f7e
- 0x00000000
- 47da10abec2cb54c5890e5945999deb1d89ffd268bbbe2eafc86f1acc8bf5f7e;
- 3e6ec07de86be6ffab2dfa1deb9ed67844645be92bdbb22b7ba91379babcdfed
- 0x00000000
- 516ec07de86be6ffab2dfa1deb9ed67844645be92bdbb22b7ba91379babcdf6d;
- 5f5c0730649586b5c0b60a14d3b669b3649eb6725d71d834e78ff2aa0e5450e5
- 0xffffffff
- 7ba3f8cf9b6a794a3f49f5eb2c49964c9b61498da28e27cb18700d55f1abaf1a;
- c357befcc6836d89387915e368e5e6162252b433eb58d94eb3cc4b783e98c226
- 0xffffffff
- 2aa84103397c9276c786ea1c971a19e9ddad4bcc14a726b14c33b487c1673d59;
- 713ad0f656a8fcd75fdee2c4ac248ee7ad09a5f357c565daa94ae46d8590d2c8
- 0x00000000
- 843ad0f656a8fcd75fdee2c4ac248ee7ad09a5f357c565daa94ae46d8590d248;
- 909d669185e98b4a88a6531b830193b23035d64665929e34e86d53c4a9eef30a
- 0xffffffff
- 5d62996e7a1674b57759ace47cfe6c4dcfca29b99a6d61cb1792ac3b56110c75;
- 8f23ec139f93258e6d57fa278339f1cb5da193c5d1ad7183fb2b151111262285
- 0x00000000
- a223ec139f93258e6d57fa278339f1cb5da193c5d1ad7183fb2b151111262205;
- a9a5480c72157f389be80ae7ad63502434c380ccd1cef813dc9bd2e9a85e2f22
- 0xffffffff
- 445ab7f38dea80c76417f518529cafdbcb3c7f332e3107ec23642d1657a1d05d;
- 316f98b6697e7daa8775d3aa91dee8fbbae4e935a2f62cd2975e2d552f0c9846
- 0xffffffff
- bc90674996818255788a2c556e211704451b16ca5d09d32d68a1d2aad0f36739;
- 70128d6dd5fb42f287fba3533c71cb5dc2361b6d91c3d9626c58849e27f7d349
- 0xffffffff
- 7ded72922a04bd0d78045cacc38e34a23dc9e4926e3c269d93a77b61d8082c36;
- 66a6f3dc6274e4122dc401ef23529175d71d96b660a52cdcd64556073b5430b2
- 0x00000000
- 79a6f3dc6274e4122dc401ef23529175d71d96b660a52cdcd64556073b543032;
- 3909505812b228e6ca5cc6c0b17824ef765923eded6105e6eb0f176781624c5a
- 0xffffffff
- b4f6afa7ed4dd71935a3393f4e87db1089a6dc12129efa1914f0e8987e9db325;
- b7febd7d63efae3bcc60c1c344f2f6166b272eed785a9e541d3ff4f12e82a5f3
- 0xffffffff
- 230142829c1051c4339f3e3cbb0d09e994d8d11287a561abe2c00b0ed17d5a0c;
- d1cacc1db40de13351224046975319d7546ae9e88e1909c2a8f46792a140d279
- 0xffffffff
- 1c3533e24bf21eccaeddbfb968ace628ab95161771e6f63d570b986d5ebf2d06;
- 4c449a50fc1e145be1463e4c171b3c51c9683c41c45005d8aeca607911c9b3be
- 0xffffffff
- 8ebb65af03e1eba41eb9c1b3e8e4c3ae3697c3be3baffa2751359f86ee364c41;
- c929c50eedbad6ceacdefb00bd58a32820c874c906741e9d93cd0f668819edcc
- 0x00000000
- dc29c50eedbad6ceacdefb00bd58a32820c874c906741e9d93cd0f668819ed4c;
- 1c57449dcfc7e8f9fab77d226d4b50d7dee06c29d08d3d4f4ae7c8ad238a0a82
- 0xffffffff
- bea8bb6230381706054882dd92b4af28211f93d62f72c2b0b5183752dc75f57d;
- 396a2ddc48f158e73c95dc289da3f0d3b2128875e20c401cb50fd6cc7a28dd18
- 0xffffffff
- b495d223b70ea718c36a23d7625c0f2c4ded778a1df3bfe34af0293385d72267;
-}
-
-pick2 {
- e6f52222f35081896f3d9ecc0ffb27fa3e75c8ad1c98e161878d2c3cffd72c78
- a24cd71f7acb653466b7d67bb41efb5a29503d2627d2ce28fe19680ccd939be5
- 0x00000000
- b54cd71f7acb653466b7d67bb41efb5a29503d2627d2ce28fe19680ccd939b65;
- 4e51fe2dac96a664d0675962116b7af4e605194a1c9fb774c621a3107994c9ed
- 508934be10ce5e11e6940d56e84b148e20f48369e748536846763c80bab9af49
- 0x00000000
- 508934be10ce5e11e6940d56e84b148e20f48369e748536846763c80bab9af49;
- 530175217081c3fb3ecd17702ad334ad48f05affd5ab3754ef10be5b0eb5375d
- 8aebc7e01e2bb2829f21311462175948d85cd3e65d676eec893e3df13f639d07
- 0xffffffff
- 530175217081c3fb3ecd17702ad334ad48f05affd5ab3754ef10be5b0eb5375d;
- 0e53c5141d72c8c81d80b1a1283b0267b278f98e28ce08ccac7b010022e5adae
- 2215cc15e950d6abfffa26113f269628f50f9ac37ad3260ae9189958d75080b6
- 0xffffffff
- 2153c5141d72c8c81d80b1a1283b0267b278f98e28ce08ccac7b010022e5ad2e;
- 3dc16434679d30686d5023fda4cc574563841caf1d588e965fe1ec1c4ba54398
- 4ca50330751d33ebba981277926a3fb801d216474cb183f90947680f5ea383a2
- 0xffffffff
- 50c16434679d30686d5023fda4cc574563841caf1d588e965fe1ec1c4ba54318;
- 09e68cb66b5ae2f3160a71738d1e9a042b9b76335eddc4b9466d0c6b8100eeb6
- 270eb833ae635bed17df9218a53a91b7afeb74f0df3bfffb8334c04773cf716d
- 0xffffffff
- 1ce68cb66b5ae2f3160a71738d1e9a042b9b76335eddc4b9466d0c6b8100ee36;
- 831b8a99e3b44bf21cdd4f3c06da7c16a95e98f3dc42cf2ac282edec67d9b2ca
- 482840e31c7620de6d290d747afc63ca199c60169f8eb62d28ca1142c5336990
- 0xffffffff
- 961b8a99e3b44bf21cdd4f3c06da7c16a95e98f3dc42cf2ac282edec67d9b24a;
- a022ace6772d82d30832328c7cbfedb622b710d1fe9313a77dc4cc5ca577a7bb
- 39c86c57bf581c16d8c03b4ef0fe813815b5da1281f03bb3f2cdb0ddf19868d0
- 0xffffffff
- b322ace6772d82d30832328c7cbfedb622b710d1fe9313a77dc4cc5ca577a73b;
- 719d3f13c38b915873bcb14308bfd9bb6f4a6cfd249a745bceb55787ce480caa
- c72de6e206ed24555d091763644d4405f2ee5dbd846a036d6a21442a6c40e0c6
- 0x00000000
- da2de6e206ed24555d091763644d4405f2ee5dbd846a036d6a21442a6c40e046;
- 07cdd3cd677a3c1783bcf7855bf1dbb453809b66c66c7bbbb67690cea33ca581
- c9d889281ac117390875739e4b62df6dc3cca6c65439c46bb907c81d3a961fa3
- 0x00000000
- dcd889281ac117390875739e4b62df6dc3cca6c65439c46bb907c81d3a961f23;
- a69a728035cc69d5d3f96dd4a8081864333e53e434820dd569deb9e58393d4b7
- 3f4ef71dfa1eccd817d3192dbe2e08466e4a66b4d836b0892b3636dc523098ed
- 0x00000000
- 524ef71dfa1eccd817d3192dbe2e08466e4a66b4d836b0892b3636dc5230986d;
- d249414415ac4960e934d29e08c75ff1b18431a6e18f7404e638293d3d8e81d5
- 33cd02e07762f74976834d1b6dd3b8eb7e2ad7a5d04ba90bbe747476071f10cb
- 0x00000000
- 46cd02e07762f74976834d1b6dd3b8eb7e2ad7a5d04ba90bbe747476071f104b;
- efb782aba4dca351a5c9279b370073840b977b2458c6c84c9c9046dc92cc5507
- 6d9f50eb56b84989aab77c54987f05c715b74185417863f2c275635d2d6f2eeb
- 0x00000000
- 809f50eb56b84989aab77c54987f05c715b74185417863f2c275635d2d6f2e6b;
- 10c4381ed467e27d756ff7a260a6ffd282ad757b10c9956c518a43117699ee91
- 9b9a70c67be3296ef9d65fdd8014c4b263c28fd31f3299f4461c688c469ff704
- 0x00000000
- 9b9a70c67be3296ef9d65fdd8014c4b263c28fd31f3299f4461c688c469ff704;
- 5a30428bee407ee673ec7d2cb4854efd80b9761df5dec906463f888f60be7152
- fc2e139be53203eb73041e9335253534c420208164682c2e02f31f084f5582f0
- 0xffffffff
- 5a30428bee407ee673ec7d2cb4854efd80b9761df5dec906463f888f60be7152;
- 43c7cd903c7dd7cdab85c6b5585955163e0da7dd0c5b5882ac620246619af342
- 0eb52162c69425ad75b778c39746014789f7929119d4e122d4b98bf64784fcde
- 0xffffffff
- 43c7cd903c7dd7cdab85c6b5585955163e0da7dd0c5b5882ac620246619af342;
- f37f3707e4609d389096c1fea551b572a6b4644fd6af2e9e7a0fa93a91ae38e5
- d10dd4d911346a5952e3123d4f156a7e40807d142c4afb4bc314ac6f9346dfa8
- 0xffffffff
- 06803707e4609d389096c1fea551b572a6b4644fd6af2e9e7a0fa93a91ae3865;
- a4f4c203cb892691a6d6e9dff8a10ac1a8d9470b13ba24e1bddac05d6d7f9c0e
- b88145fabdeaa9fa108bb04a4d283ac034b4c8d8ffe1b2174de9a80254762c54
- 0xffffffff
- a4f4c203cb892691a6d6e9dff8a10ac1a8d9470b13ba24e1bddac05d6d7f9c0e;
- 649d8ce64f623228553de99b823c5f5c5ef37f00e2ddf658fc9bc2405afde715
- 0f24ace92223d2db75e2d82e8a5bc8b0e7981478216b999d2bdde9c72732d58f
- 0xffffffff
- 649d8ce64f623228553de99b823c5f5c5ef37f00e2ddf658fc9bc2405afde715;
- 3f466e24ed4169ca3df624d747f054f97422d5eee3fade2fa3c4eba488694a6c
- 37e3171c9aa56d07ffcde4f1fd0fdcc41e2086ecf93c9e53f3f6a4c3e4db587c
- 0xffffffff
- 3f466e24ed4169ca3df624d747f054f97422d5eee3fade2fa3c4eba488694a6c;
-}
-
-pickn {
- "91aaaaf3ff9e58f299c0f6d0a4a3851d100423e4b7380d5a32a86cde6cb19562
- e586b4ab140cd20bfc70aa5ae1c389941a8c631ce033f54793d77c91b5e3d50b
- 911122291921aced748e1346261ce8dc0e50704bf59495c3d7c1a9806ae58b5e
- dac7c42fc0253029c78310ea1508b2464db2c44689fa7d485fb5863b7c136f15"
- 0
- 91aaaaf3ff9e58f299c0f6d0a4a3851d100423e4b7380d5a32a86cde6cb19562;
- "e8864778a3aecd6f35f8afa097072e94c4e50680baf91a6036f4f24fb0dcf111
- 5dec44933a517f5a8bf6d858920e1200c74e65132baf0d08ca033e36e15a1c46
- 4fca88e6d122c0a460b5dd502281d80616edd30bede891226b4b3c4b3eb9eea0
- 5fbf4e034d45326d89ffe92bf4738a7120c63ea42568c25acacf4dd7915b9e8f
- 343001277d416dd31dc770232fc47c7d02884fef3fc10eaddf6f8b42fbb00b26"
- 1
- 5dec44933a517f5a8bf6d858920e1200c74e65132baf0d08ca033e36e15a1c46;
- "f0cfc16fe0cb8910c26f6f46e69954dd34277d171044140c2dc448b6f63e053c
- d54feccab8d55297eb24f622818aaa2ac5b7fcafee5efe872bb600cbdce85a3a
- 5f1cb6c6b4e8eedb566150a99a7c92228e7f737efa1810b9d40f9a4ea020e56d
- c762a32a3f3a6f8cd956412eacdaa75ee56b347b952a7c18dd19c0ee2e50b8fc
- b6e76d1d2cdf04692036f26515ca6b92d57b1bba625f07553d2d4adf89de9611
- 874c9e94d425fe9590aa1cde396ec56531342207a0e3b42ef0ae710bc9b68418
- 872ebc0bbd45d07727887aa8116a5743880093c73b3048c3b46920c04e0f64e2
- 9cde037629d20a4481ba7050546eca2dfd293b0953aa708764531bd8d0fba387
- e9f7cb8ed4af14ac61722de66406e97ee9a87d9362dfa87e489a9c98f8b891b6
- 6c5bb4410d83505ad34d10409d02fc005a47ef802b5d9130f3b5d385ff78957e
- ff40983b47e7263665a03e4396421fc34209afaf52d7d69012833b4a228e6c40
- 4588ed141f6401c460ff6ad4888172c9d19f15f214d96bedd59f818d7c03b720
- 99ede977304bc4e8f5edc44463b48fc13c001f5c584f2b100c791ae472fdddba
- 8ba76d6aa98a062e1091ca60e05ecf21208657bf287f20c6cacaaeff41a537ff
- a18760b118187f5b392637dd5c5f97ccce583b5b84b69f8e37d8caf77c616db0
- 7e921cc5caa3b3884358cb0ffd2d9d160ed54256049fa1540d861dbb6dd1631d
- aa8102188fbba89c45259c52080b3969c234d070411bc4b91870a8b482eedfbf
- d98da58b248507edf310beb9fb522dd23d88bc0412ef3b5bd7a13b7a15070647
- 0626183221836da09c9bb5a1dd07df570883af17a9a8fed1c4bc7e8770e348fe
- 16b01a5593b3eaf0902d0ade7e00da7b7a57556c2e7169e8b6ba5df5c5fb02a5
- e40715b07034e109d79a95a8b031eebc6c59dd0bb77de6cb960fe65a6d1be59e"
- 20
- f70715b07034e109d79a95a8b031eebc6c59dd0bb77de6cb960fe65a6d1be51e;
- "e30f85631b4ea4aadb9487c76cbec40ab63101a482e5aa2e3ee329fc21071bf4
- 8bc9fdd41fe1ecf5c2cc2075c72e4ceab370b099ddc672ee16bbd7a7de19dbb4
- ede086a76fedddb463d9f0fb44b39ac7fb64665061eb96015d4ed39eb33cd772
- a7cd74dc0c94aa8bfa480a88396b7f293f1ac329e4ce79e04507be4edbf4fef1
- 45f5c114a46bf0b2c8be1ecb8fc7c81e7fef668a2e4e9769f2f2dfecf405af92
- 123d101a02348f81088beeb6fafb7f720b49631736829d2f19e95b8d833684a3
- ba936ae1b5555b05601c2e59bf9585846ac01b5b7f6fe4bbd45e0653e961deaf
- 51c0c307d99e34a617ead92dd37e1a0f36ebe2e45ef5b3690fd114099d483dc6
- af94cee7979c057995680c3a5adfe26e7dea759e2640b0b09aff383fa355d289
- 6ddb6908532c513f463473e449747f88d47766460ad316734c2cca87963b3060
- 88192953b60710667d47633be71d87214d2dc8be882ceb6928daf311499d2e83
- 37da1b76c2c16025f0644b6451027c8bc9768379c3aa7ab8410d34d8c8222706
- 1a46c0531cc13f546e001a67721931f4f6bf8eeeadaaab667ee651db0b272509"
- 7
- 64c0c307d99e34a617ead92dd37e1a0f36ebe2e45ef5b3690fd114099d483d46;
- "9929839bce983fe53c4f8f9d07a462f82e8eebabba2c0daee1378abf585bb53d
- 4e47d3997d6562c7b0347acc96925bd1907bf3a9c57d51b099c4a574d7bf8fc7
- a0de02656ba18dd1cfdb2938fbb864f9f59001110391ee1818f5c1dfee64f61a
- 9c4153154f5b827bb847edfa04ce754e442f2e96ea001fc27f6d94ea8b06fc00
- 7ba90562980966abd857be3a84c1bffeabbb589415e722e51225f8317e829777
- ac4657b264ccfad4f5ba3f7a470458101d5c6025c45d00191ddd4bf85ca48705
- 8b11cfc6ceb02c5d4b3e19c19f1ae745fd0cdfd9da1a80e9df1be8f7bb99ace3
- 1202bae1f86d05ed8fca09965bb1cfa3fb696a3f2b7089ee10589394639da2bd
- 143f799fc9ebec77aa444eb5ec95f64029cf61b875a2f94e228323844cb8eff9
- dcf99568b397db79bd2e8ae49778e1e49865e91525f932a1813d1c395420a43c
- 84fdfee8137558f0b9f2441c375fce466e3212c0d0de3179919fb130e61b711a
- 602454ffaf59610f76863a7456146f866539740d6dae63a3628d408e34db8e76
- 86ae4475d41ea312a97c821ac78b815e459dc6bb4d52c236a39e5e53ff17f5fb
- 0fd56e878b74a2daebc2acc30c31c279f3dab146d748e7aa9b17eda7ac039c8f
- e559e8bbd51113f84ebbe35ab16bfd46cf610a5c61307b986111ddbee3037f7a
- bac90f3afdf4f4828368090958aef5e49aa83d25fc5dc15d9b8a354a30961e75
- 253eee8f614306e59a31d9fab5423ea269b67babd54c52243b86b8af1372f3ab
- 69828b787af1831f772a3bb9a410dac8bc47909ac6bddc94a5c600a3167ce780
- 1903e9ca239847045875b0bd4e1575a724d9f729e3cbfc377de17ad29839a121
- 57bc65c0fd8495014f31e3be740967f3fd1884bee743b20b947339923530d63d
- cf7427ebf6088e6f3385275f993b5c06ee14f738b59d49ecc327521ddced2a4a
- 74c2a4122225e97b646d6a38584626a6ed811506ee7cd00b48ba563b7a776380
- 604f163d7d7f4987c8aaf2e7a946cec1597ebeb59aaeaad0dbd0737527b9350a
- 30e7ae69cd5fb42ec00ca840988a59bf5688aa0b810bb2e9ea24fb5b322891a0
- 68caff542deb61b055bf65127a94d8ab107f5d2496764f97351dbbfbf34928e4
- c0d307ece7f18150d958bd88bf11912dc818fac7cae06ca9ec3fafd15d452af8
- 731b9ae286f29660fd0814568351bd6da114f3ee8b87c217cfe531746faa8c90"
- 8
- 273f799fc9ebec77aa444eb5ec95f64029cf61b875a2f94e228323844cb8ef79;
- "85b3448d0292edc0b14cfae9225989a16a61ee8441166d5b97faf876b0ab6c7d
- 88b0f7c78f8390b6cc1de0afda111326dbb41e7603b82033902eb56ea542c2dc
- daf45d38b24294648a7b203758ff0654d42507e958bbd98c72229aae0a9e5757
- 98b44fbbf6e45c81c2473b626307506881a9fa609c546741b3637b731ff62adb
- c0779c0f0a35658998ee9cb6b0cb6b7e089b7f288ea171c18bd2664ca5c3fc1d
- 8da42494a2c1e2034d2009fd486cc230085fcc8af171e2bc2cf428bbf9b4bc86
- 6dfb99cec539941c9e7d26e5640641e4ef2c3f1a732f9c85759858a95c346ea1
- 471a369f8d1d3341ac707f1c41e5f0655cae51d8a170037ee349b3c14e01be2d
- c1b75b02941ae0c2e398a2c8871955c8306f6ab88cdc6d751e11b35605d10829
- ea508e41e33ca0b03b5d93a54ec359e01a5a00a98a80f7e6d998641a6cb7ef58
- bb009a72b5d5be344a3ba9509b6e8eafbafdab4b0ec9202c8d29983935c6937a
- fdce2ff0df8548fd7df3b8a087aa30c819af0eff3b8931e5ddedfdb0f4450919
- eea3990f7f4045a3b6cdae27e4dc8a8062049ac4423ce46108ab464d866b80f3
- a18000f37c8c4a30195e71864b14f170a3f5c427f4769c736fbdc18b3fe68887
- ba9aa19e99a69b34f357f92d95a6c409f1bb331d1d27b693164cd0dbb552c771
- b5863e0215351b2f9b6f661ab94c833016bdef73a34b100b6db79ea8d4b22ec3
- 983eb31be6cd1cd4cb53e489e4535683e21c00e6c52f685e84bd3cfc98f9ab2b
- c31c18c6c12feb3be4e51a1671fa6001c1dfadc0ebb35349766d9d07d5a70025
- 6f81695294071c711947499c2c3d96969a70948c29ea9506ff675d25052f0950
- 3b42ffd7fb054072e7fb93bfa63d24511e6c93455cdd5b9be3c8382a3cdbfba4
- 6d7463ce0227e29a2706b8ad6be0d6cefa173c261697520b23edb87a189d31eb
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- 0
- a4a76b64122a404fbf873d65089a7613bd3d93c4227a4b05817223640ec20e69;
- "1c12d157172079be7ecc31716fac8946f5517a3da6612bf4a0db65707e72764b
- 9d9ec126bd404e82448a16c187152307ab6319fdd5d4280f070275cedf1cced2
- 25be86a2abbf7619f7b92855cc50572af4fcf6ee071078d24baa24d623ebe4e5
- 9b3a13dd1b67a284a9ed869de2663d82035342bc0cad65484da1c7b60b82a55b
- fb82840bfd348ccaa0d3d362c1123096a5103a09f979e2f4acdf7aa600e55a84
- c64642a4946ed50924eb1a4c6ab73b53942c5a17cc868f8c6c5ef92ce5986830
- 8e7aaf58bc15be92a31af4f0b092969a250222e7ccbdb638aa846f8253c33d50
- 375bb009118659c831591bd6861e9c9eaec85c0fd9a1facd5f2767ff27e3d36f
- f5b4b72840ef438fb8f7fd1419aa5248dc38126cfc29099cffe68aa94b215b31
- 3b0cf55a0dc7856788375bfa1390fe4c628c271c99ea76ac78517ad5f36f61ac
- 82cf74084903490f30152c730970f8b622de5414e1a60e1efafc6aa57ff2fba3
- 9d476226e3c4f844f392e7efea7726b02bea64c9aa1e78513efb28a000cf9624"
- 11
- 9d476226e3c4f844f392e7efea7726b02bea64c9aa1e78513efb28a000cf9624;
- "4f8b3919461d4408a4d4375688f8985332745cb5253671dd7fea3c58b8e33e5b
- ecd4f6bf71be54fa88e51fd9d98f60c009fa1b4f15ccacdfa7b26a5ba52b1794
- b0bc276ac01ed6b25fb569ec8c614f4a9299faadcb93bdee4dc637c888381d29
- 2fbc1564ecd906f5d56838c9ceb3ba5b5f13925cadd653008f1ee9f54c18ea37
- 66e9f3ed35f45675f9601181ddcff688229371c6428c1d9dc67699821e3130b6
- 6b08a213ca51403db7e08bf6945b23ccb62465f582248661b901b6e550345516
- abdb83672459dad5b11c3cf9e4d21235ff92c01ab00b2d44aa6f10bfe9b274d0
- f609191b4efb288359af7170acd0904c57d45c7c658c0d670e0fb22f9ebc0044
- e4056ab4b8afad5e6951c8168477f15ee3e11fe3f236a1d19ea201f78b8898a5
- f3b253fd18515ee3dcfd4a14409838a3d993a5274bd77a1e5a7088d20ba6c592
- 710b8819a202ab80bcf308aa94d3305944dc739e33648df045bba215160f8ee9
- 1b63314e9fbd605ac063546ee4249bf9f37da0b6b78d99848f487c6880f70c3e
- fb04f3e49a44c4eea104c213446b0e6b81da047a0862604f488e0c6128238d3c
- 43b1624809a253f46b12d97aa08dc3f16b25613022483b8044cb01b6d23cfb28
- 0796291d8916b0b70ebdab0f42b8cc55c14734cf7a398d48f94b48d9871ff0c2
- c55cc772bb71392f13258339eaa1d8b01c402e8f6c9b6061f0e1c564feb98234
- 882ad3994d999ac7243ebe9955468a52b2242564a295a9740af8980043f9ef0a
- 201f86fc5826d74580c3bd3fe04cda2a823c2a4d1ace3e862a9bf6873ba25055
- 5c39347c213f6e1b5ded1de9f92ed21d99721c4e4216d5abe207321caa426971
- 38ba53a577809f2d2c3cc33016e6141f4a87b6f57b75be70b9cd3d287f07ab00
- 7b9e12c5293fd99ed3fb50a2eac4587bca4aa8bb97c147626dcb9688593ad2e9
- 4852c30283c1ffa109aade1353d11e9712d8c4e6d416926f231a2b89b78fbdbd
- 80d25270ef8002232cd0e35433ecefc135cbcaa06511ba3ac14484b6e41c953a
- 6159366a1aee4692a9986a12234728c685cf766ad3e2c4cc842f1142c0fb856e
- 95d34152d18b9942bb13c6bec8e533c259adfd69dbeb06da63c351997463cee9
- dd5890be52cd0207fecd0f93dbd3a6819aa2c5a592ca0975a419104e7ff4c284
- d9c3f02b7644b3580d190f03bfc9accc8abf9546463a2171d9cb19b3783e0c92
- e59449e7a9d07631450d85d108f3cfec2d67d63ad65a7311b310bb10137fcdbc"
- 27
- f89449e7a9d07631450d85d108f3cfec2d67d63ad65a7311b310bb10137fcd3c;
- "e5d98efcc2879f32793efa8f96dda9c87b70834fc9d468dc464b0940a7dc160b
- 04d4bc5cd4690a0c6561feae82c6be57195c7553276f12aa16fb930ac47e315f"
- 0
- e5d98efcc2879f32793efa8f96dda9c87b70834fc9d468dc464b0940a7dc160b;
- "bfbed3f0a31b886bd96a817e0b65be1b1e374fddb237514e89fee7ce34a08c45
- eedd85cd817fc74938e60c366445e6bd5383dedd290db3633d5ed2ff320139a2
- 006b1e62b3aa1830de71c0ae063fbf090e536304d601e6c851800ff1d501d249
- a4a63dcc680646b69c8e651dd9c3e043bad07eb9bd6b55bc5bc854d82bbc6b00
- ffa2e97c95ef5efb87b78e89f35e95f89c1c1b2591673fd2166fcc9765abb4b8
- 030984d84d3d9667e436996578a3ae58853d44e111990221cd15795167475426
- da8350e83ac6d67029c24a8d386c6352a27bd22fd6a207474a952742790e4be9
- 0618b6f82b936b5eca87e9ab8dcd9a2e3744586bae01a75cfabb23b1b64f7aab
- 5a3e077d0d0d28ba3b6d6fefecc6c2f7ca530fa63bf414976ac8b26ed6596a3b
- 381e56750672340b18b60612bd462ade52d3b0d5b487f1af8438140740df484a
- 65275cc865fc4b5d94023fdcb929dd27dcd64870773c79f015d4a5f30751ef2f
- 724f96fe61888b5a885713d0c52e759726b877031b3f4f80ad24bcf417a3dbba
- 17f55299b7cd1d851091052401612078978bf2b09fca8c9e2189474e9d24b81f
- 14b82eebd7325586c1ed8be9353fe5ad9375290a92e76d13947c6405febb2f52
- eb5a5c7771ccf698a2e803a3a4e6db056ceb0da4d808db5758f2cb28ccc44bee
- 96db7bfd64b7d41430ca6fd0714487926d02dc71571161f8deea0f6a3b52ba80"
- 6
- ed8350e83ac6d67029c24a8d386c6352a27bd22fd6a207474a952742790e4b69;
-}
-
-condswap {
- 14e55571df646a69a8280bf8dbf8e9afc15bf5558bb8b8236ebcaa19a96053bd
- 8bef5021598a8175565e1f2b522ed1c4306fef4e0e973b50d3a03db1fcf11a43
- 0xffffffff
- 8bef5021598a8175565e1f2b522ed1c4306fef4e0e973b50d3a03db1fcf11a43
- 27e55571df646a69a8280bf8dbf8e9afc15bf5558bb8b8236ebcaa19a960533d;
- 53d8c54864e18f8fc742b2cb996f1d7595122ca9c90de9f49485cf5a5ef05058
- 9aa95be655b6704a3dd482e8424f82d17443ae26ab41092fad95df9cac678787
- 0x00000000
- 53d8c54864e18f8fc742b2cb996f1d7595122ca9c90de9f49485cf5a5ef05058
- ada95be655b6704a3dd482e8424f82d17443ae26ab41092fad95df9cac678707;
- 8c7b4ffbf50edf7edcf8d69b67796de38b56a5d4e3a9fb2201354cca0b1b7c57
- 856e707988c37e59fc6689d024b98bc01b71034484ba194ec7f45106267cb7f6
- 0xffffffff
- 986e707988c37e59fc6689d024b98bc01b71034484ba194ec7f45106267cb776
- 8c7b4ffbf50edf7edcf8d69b67796de38b56a5d4e3a9fb2201354cca0b1b7c57;
- c8cb24a636f6d8f2c045c8441b21314884a71d55c73d4ef7ad65620ac0d86616
- 02b47be53df7c8521d57589256e69b8bbeb1e838d84c090287c04a25d5c08e1a
- 0x00000000
- c8cb24a636f6d8f2c045c8441b21314884a71d55c73d4ef7ad65620ac0d86616
- 02b47be53df7c8521d57589256e69b8bbeb1e838d84c090287c04a25d5c08e1a;
- 7d96f47612fb7135edfa71dd4526d8b4c944d74ddf004e1653d3af52485168b4
- a4e83162602d20cf71a279c1071038ecf94f38be11ad1191927b3f480d393e1d
- 0x00000000
- 9096f47612fb7135edfa71dd4526d8b4c944d74ddf004e1653d3af5248516834
- a4e83162602d20cf71a279c1071038ecf94f38be11ad1191927b3f480d393e1d;
- c3a3d4462091b36bd6fd494e70c3166478be0a65bca7f7361246c52dda402981
- 62d0ae1abbe5cb909328f59e71330269e4f2b1d3c664e7f1f0780e0a4774c262
- 0xffffffff
- 62d0ae1abbe5cb909328f59e71330269e4f2b1d3c664e7f1f0780e0a4774c262
- d6a3d4462091b36bd6fd494e70c3166478be0a65bca7f7361246c52dda402901;
- 38c9b0d92be50270e29cc3181952e745cbf21c8d145ae0c0a6e59f25394ea59c
- caf4896a2d3666200741d817ee1dac661652b9a1741ea966d5ed7cbc4c76217a
- 0x00000000
- 4bc9b0d92be50270e29cc3181952e745cbf21c8d145ae0c0a6e59f25394ea51c
- caf4896a2d3666200741d817ee1dac661652b9a1741ea966d5ed7cbc4c76217a;
- d637a72affa4112bbccd2878208ce34fae442e97175e1b39f43c00b14d312a2b
- 76209f8b1f152ba7e1e6294f707831021eb2ac03872ed3774ab8fc5e6a0e864f
- 0x00000000
- d637a72affa4112bbccd2878208ce34fae442e97175e1b39f43c00b14d312a2b
- 76209f8b1f152ba7e1e6294f707831021eb2ac03872ed3774ab8fc5e6a0e864f;
- 12f3bd417fb3860b2a4fd04eb1c51c558a4c5a3dcc1ac457654a45a3cd45b0d4
- 46f802836c7bde099775f3fb4f5f6345364a7e158bae9e16c4c99aee0cfa5e42
- 0xffffffff
- 46f802836c7bde099775f3fb4f5f6345364a7e158bae9e16c4c99aee0cfa5e42
- 25f3bd417fb3860b2a4fd04eb1c51c558a4c5a3dcc1ac457654a45a3cd45b054;
- bf1809201f83a34cb07aa2e2372516631ba0513e600956e6702903e9084770c4
- 414bbc77d13d7b4e706acc07406e8d624f2485463f9948d81b72268c1e086a14
- 0xffffffff
- 414bbc77d13d7b4e706acc07406e8d624f2485463f9948d81b72268c1e086a14
- d21809201f83a34cb07aa2e2372516631ba0513e600956e6702903e908477044;
- bb8703f2ddaaaaa6ad19219684b1bde576b38bbe9065178b24c1bc55563fe525
- 1cb3ca7846a3c584b1bc05b25ee91d4779ab9ac64ecef0fcbaea8d311b55d618
- 0xffffffff
- 1cb3ca7846a3c584b1bc05b25ee91d4779ab9ac64ecef0fcbaea8d311b55d618
- bb8703f2ddaaaaa6ad19219684b1bde576b38bbe9065178b24c1bc55563fe525;
- a07c7110c32e362864a42cd2f371ff420bfd442d291cc15ec079d642b5c85bdf
- 497fa7867fcd0617c4cd765aa6f46b89390744b5b57d11ab732153e075fcb607
- 0xffffffff
- 497fa7867fcd0617c4cd765aa6f46b89390744b5b57d11ab732153e075fcb607
- b37c7110c32e362864a42cd2f371ff420bfd442d291cc15ec079d642b5c85b5f;
- 10fddb7f48015b394512257da026938b67f65dd0a84dace51417d68da003a913
- ebd6706b7cd2ee2d97848ee1adaa990d8ddbfad48e43f51d7ef843fa7597410c
- 0xffffffff
- ebd6706b7cd2ee2d97848ee1adaa990d8ddbfad48e43f51d7ef843fa7597410c
- 10fddb7f48015b394512257da026938b67f65dd0a84dace51417d68da003a913;
- 1dd835e2173b936a91da37b3aa11e848e4497964a9a78ea929a19105eb981a24
- 3e6f1ab7d5c460dfb7ad1926c60b64a8dd48ed0115b0655a6d8619666b8c8dde
- 0xffffffff
- 516f1ab7d5c460dfb7ad1926c60b64a8dd48ed0115b0655a6d8619666b8c8d5e
- 1dd835e2173b936a91da37b3aa11e848e4497964a9a78ea929a19105eb981a24;
- c4541b1380e796a333d88affdccb4d2bc68bc5a1b3890ef2fc1a2c38dbcac725
- 6f6338ad8dc0562bc02e307743b81013ffff6c135fdf8603f9956b7f94eb55fa
- 0xffffffff
- 826338ad8dc0562bc02e307743b81013ffff6c135fdf8603f9956b7f94eb557a
- c4541b1380e796a333d88affdccb4d2bc68bc5a1b3890ef2fc1a2c38dbcac725;
- d71f16494f041d1547e5dd9ed539e6b9c1506cebb66f6424e6c7aaf6d0ace080
- 78c1e6cc0b6f64e161def3b2ede7465f21f6afe61299e9a3c52b1a7a080b9b26
- 0x00000000
- ea1f16494f041d1547e5dd9ed539e6b9c1506cebb66f6424e6c7aaf6d0ace000
- 78c1e6cc0b6f64e161def3b2ede7465f21f6afe61299e9a3c52b1a7a080b9b26;
- 4d90838ab9cc0a79f4e2aa6a860bf8cfbce5f834aab428d4a06f8ef4a2da582a
- 53124b302e7675ea5784e2e7d9fdecb38d9c8be158312dd81c51757bafb79b42
- 0x00000000
- 4d90838ab9cc0a79f4e2aa6a860bf8cfbce5f834aab428d4a06f8ef4a2da582a
- 53124b302e7675ea5784e2e7d9fdecb38d9c8be158312dd81c51757bafb79b42;
- c8e764092ea695b0dd8f0ecbca5a4e02096c821b0f5cd57de8e3e50d8b2a40db
- db7fb38dfede5259a584dbcc697f259ce380110636e301acb308bf687449110e
- 0x00000000
- dbe764092ea695b0dd8f0ecbca5a4e02096c821b0f5cd57de8e3e50d8b2a405b
- db7fb38dfede5259a584dbcc697f259ce380110636e301acb308bf687449110e;
- 34cf8e55b3d2494362a87a24907fbdab61cb4f452ef5a889a1aa40a22be6d976
- 679c6d6f6dca1b71bb098e3854c63ffb8ddb76f1a1cb246ce956fd71d6477c20
- 0x00000000
- 34cf8e55b3d2494362a87a24907fbdab61cb4f452ef5a889a1aa40a22be6d976
- 679c6d6f6dca1b71bb098e3854c63ffb8ddb76f1a1cb246ce956fd71d6477c20;
- 9638ab322ced065068f98597cc61fc2bd846b5849dc39a881209b8efcbc95eec
- 32922ff2b62e968417225b765f2787387c8a42fcab1dbec3815298f53813a8cd
- 0xffffffff
- 45922ff2b62e968417225b765f2787387c8a42fcab1dbec3815298f53813a84d
- a938ab322ced065068f98597cc61fc2bd846b5849dc39a881209b8efcbc95e6c;
-}
-
-mulconst {
- 8d517a8804d934ae93388e1d59748c3c22866d7be6cec58a357ec43f6dd029db -319312
- 3f2fea85c9195f2246f4f6fd2e8d5de95c5065edbea45a174bc0d1ef3db4aa54;
- 1b5d6a6c9cdd0dabd126e5f5ee2513f3d27c56dd3aad89c882fe9fd2d38a93b9 499342
- dd310555966ebe7f409dcce2933f91af8e14c8909f78e4f113606789dd7f504b;
- 9e03b44e93743e0cf5768f65bd3c0f255e001de330d5e1a863d6e4dbb11748a9 -284189
- 6e8c7f8d0f1476cf2603f5702fe8e8bba5c01e86b6e008ac72987fdd6721183c;
- 9cc65e302736aab9bf02dd451c216ac3dd2066af299d7f6bb361eb3b36777f74 -15738
- 8c067e5dccdafaf56301050be17b8895c07e7f13572bbc5ce1af8b5be043d91b;
- 7f36ff91ed165c6ee44aca261dc09e3e124c2ed8167064c20d9b84fa226e2555 423857
- dc7415db1ab5e5a5658d089ced49bf97718bccc55e2f15b83a28157cbe47e559;
- e8852c80db69c7e55d476ed00ca7c0735052f7f72f81198a57236feb89a5903c -140934
- 4923ee40bb01314c2fe9f2f87d0743823311b2d9265219eb7a6de5fdfd09a308;
- 505ef65d294b77e260757bc867199c4b0922b5022dfd6a1fe7478ea27ec102c5 -307893
- b14d72c991a0bfc22b1b95934bbe589b6a4a1f9c76a89d7012f8cb03379a8844;
- e410c260dc8c1838f3e9658ae586425039b373ee2ab88c750a51853b012af0af 471420
- 42ae337a920ee1b83768cbf0750f524cf1f9e98b99f195e869785f90a2356756;
- e2d181914b54175190462d11402717f42efa37967b2fe0bc4433fd4c862fd646 492178
- 4c6e1ba6896d2d661fbf99b77f63e3095d3341f04bf258dc3e4f51e39c68f576;
- 9cdda0d7da106ef5cfb34774f48308b64953e92869dab0ba804927080509d8a2 -312149
- 4e75e56793563268480efaf6232ad702bc5aef6246bd44e3499ff437810b523b;
- 9dac4442858b8dcc324464911e6f23ed046e42612e8105dc3aa2b9eccea15dc8 -88818
- ce52a0897600a05383df0a0b99a451f0d5568146b4323392fc164153715ecb0a;
- c9f92ceffa7027ffa71e64b714c36b28a6a18c3608f8170d11d51acbee3c62ba -259755
- 89582517069925572219b2eec2a25029e8e1c78772ca8c50bf23220d02740763;
- 8f8bcf28f4920465680c8e15befba4ebd23c1e27b71c224c98461f69caf76eb1 -430350
- e96b93f0aab6ca70f7d2c1121110efc320aff34e1ec693d7bf17bce1a756d622;
- 6f4d413a27388fe84a2585e809927bd470ba1b0dc749ae6e2dfa100617a5a7db 11486
- 1cf1f5bd0770d949ee36df858e5842805d121722de30d2ef6bc2b82d021fc14b;
- e1d05a072d1ab70d895969271f44b7c9d1654171836cf234724d2f90434c04e6 8057
- e32b3c792cd3b6a770eaa2627ff8de8895873d73d734b961646fbce0643a443d;
- d8564ee3ff02c80f0bf3e9cdfce42cd8ac1012ad8ea74f8c0f5754b5775a8de5 -304373
- 884266ea43a6a9b72d113b437dae63c664ef53884c893212fd864412f4e5e457;
- bf66769ee0cf873764524e760ee654e8d5090aa774f2e96144d945f8da37af19 -159091
- d7438999b3bdb99a46e2f3dc8492cbaf52b0a19c651cc382c384940861bccb6b;
- 72b7d02b1fe23adea87696864c0a9f0466db85e39db397f0eb428a50e277aa2a -521654
- a611bd153336e178a7f3d912adc2fb39b342132458faeedbdb0a35973efae23e;
- ff5c39d4b7fff86810a7a3b14a58bc01e6ecf062116adaa78dac0d1bd3f6039b -140759
- eb9e32bf7d027cda198048da50aa79a11bc99f3b37a219a2104c78f4affb584f;
- a6f1f7f30e3f9e5467f180f92d2c94165fd9427d0c7d383b9077ca9a7e50dac5 -317637
- 56a32847c50bc9609db9796e1650fbe97524aacea746d3cf285f0f2fced01a49;
-}
-
-mul {
- ## Easy multiplication.
- 0500000c00003800006000004000000009000006000048000090000040000000
- 070000180000200000e00000800200000400000c000030000090000080020000
- de200094610090df0020fe0180270700650d00dc2a00f84100e0340040570000;
-
- ## Random tests.
- adcc6f10734dae2273304a6aa493ee8f96e05f2402341c0d997dce58ea57ff6f
- df3c8d5bb6380fa278d4ff2994c7865bcc146596d3c3126242f0dc3509b57449
- 5ee2615b75a40367ced4ed4bf1578d13e7afa4d415f38f802b7e7b374365b627;
- 054bc4d5e9b78b068fd20645eeb1f03aef2e89a1f56cb50e5f1170a86529526a
- f976ffa1d1b4a33d0fd866528897cea3eaffdc75e31aa65450a62ff765fe7985
- 0210280745f6c29a04433f07f880bfd2eddd758d82996e79c65de817c30e7309;
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- "" "";
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- b3cd2df2c2531beeca882607d73f38403d8ff384f99be1ce582536bc3d4bfcd1
- "" "";
-}
-
-sub-mulc-add-sub-mul {
- ## A very basic smoke-test.
- 03 01 5 01 07 02 37;
-
- ## Stress the bounds.
- 000000feffff030000f0ffffdfffff7f000000ffffff03000008ffff1f000040 00
- 0xfffff
- 000000feffff030000f0ffffdfffff7f000000ffffff03000008ffff1f000040
- 000000feffff030000f0ffffdfffff7f000000ffffff03000008ffff1f000040 00
- 00000cf2ffdf4400a09a000079fdffea040098edffa73b024072ffbfe0feff65;
-
- ## Random tests.
- 6f0dc2547ad77f7b3da324876e63c724c1f69cb2bc70ff960f1594f90202e17f
- 23a2d45c26880166516e6831ab5070dd2247992418ad7cc41155a9362744f763
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- -128133
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- -14780
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- -128312
- a0af624a3f54278e2f7cc77f5d0f10750179bb18e07da059feb0bc98fb1d688f
- ce432859e6d7e691ba9b44d467e8a5f1a97979facd2d3c7deec46e121193133b
- d60050fad0f5c4b2e042141e4f7a418d3e8a8a308acc96651728f363ee793628
- b9e4e8873e006d41104b1cd6a32282fa2b94ade000dd57dee6dd506cceb34c34;
- b46e84be433f9e4f43ffa2f1f5200013953d820d292e3af978c54401a252111c
- cb7cec0c48efa4e0e54f05ac18574d5f67bf1a1193d6d58f42183abc9f5bdd49
- -3288
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- 0854368c6b459ba6fcaa95db92605c9d791bf4dcc57bfda2ef318b48f7521d73
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- 1f490365c3b82416fd3866a42a03f3bd643844e0d0cbebb66af54aa35de3efa4
- dc805758c7e714a2acbc1e467520ecc3b9d23ce5133fe79e377e6d4520cd5196
- -129141
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- 0af6ce5107ca06fdfe732d11161b197830a963ec667065c5293bbdf843e23672
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- 7e5576020e7bac35c7f5b3dc6b60b2c1cca55f6c98141682efb4737963d0307e;
- 09e03f5d67a92cf076740e4261833f244b60da6d02cb42278e2ed9183b6eba3a
- 5a8b665434e91158559cfecf1d43d562c307518a3ce889165b406b1aae38a674
- -13299
- 16e0d405bc40f2075f5dd901769def19f15759faef9a5fb6356b94c5c48be3e0
- 101da726c0dfd102c8eb2178640054248225a6fcfac1bab28a09b59cf38703d6
- f268d102402d31a33e52a941a06c64a30a721ed55184edfcfcd85db6fe3db676
- 24fc9112ce6d3d70e8c245f9e2c883290384462065a5a1ab5821b9cf9d61953b;
- f86ba345a367c676d99450d4893ef4033201c8ddbb631c4658e4ed24ece98749
- a3c51a17107327742f44cc2e265482522cf39b6bcbff919bcf99fc033d76348f
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- ba2e564cae8cdc2bea40d64b5598493ac2b11902d91b5aec7a0e4a8649aa7ab2
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- 04eacb794c87c19087b793a0e2d187cc7e0b07d265fd6cc46946780d2ab83810
- 414db559bd22f12717b431310c1063534de5e627e983f4967b2fb38f2c5f87b0
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- 26c7d591e0028dd611d6e84969da716eb740207e49f5ea02f17a3224612def12;
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- cf575224b26f636b4b4f28c90995b87d900f6ca5ec9de6c24e65b747d303d221
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- 1d667ed7c9b93f2972de23f4d633bcb5f2e56e446cba103c3cf2cf0931687b13;
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- a827fcc698403d01f8c2597a582ac8ddd612e5c2a520b0a2428e8dd35c58002d;
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- 607f7b77fc8d3ca15cdf6e2abba71853fa74739f83589a4458854ae2db0a4727;
-}
+/*
+ * f25519.c: arithmetic modulo 2^255 - 19
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the 16/32-bit implementation, since C99 always has 64-bit
+ * arithmetic.
+ *
+ * * Remove the test rig code: a replacement is in a separate source file.
+ *
+ * * Disable some of the operations which aren't needed for X25519.
+ * (They're used for Ed25519, which we don't need.)
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* Arithmetic modulo 2^255 - 19
/*----- Header files ------------------------------------------------------*/
-#include "config.h"
-
-#include "ct.h"
#include "f25519.h"
/*----- Basic setup -------------------------------------------------------*/
-#if F25519_IMPL == 26
/* Elements x of GF(2^255 - 19) are represented by ten signed integers x_i: x
* = SUM_{0<=i<10} x_i 2^ceil(51i/2), mostly following Bernstein's original
* paper.
(w)->P[8] = v##8; (w)->P[9] = v##9; \
} while (0)
-#elif F25519_IMPL == 10
-/* Elements x of GF(2^255 - 19) are represented by 26 signed integers x_i: x
- * = SUM_{0<=i<26} x_i 2^ceil(255i/26); i.e., most pieces are 10 bits wide,
- * except for pieces 5, 10, 15, 20, and 25 which have 9 bits.
- */
-
-typedef int16 piece; typedef int32 dblpiece;
-typedef uint16 upiece; typedef uint32 udblpiece;
-#define P p10
-#define PIECEWD(i) \
- ((i) == 5 || (i) == 10 || (i) == 15 || (i) == 20 || (i) == 25 ? 9 : 10)
-#define NPIECE 26
-
-#define B10 0x0400
-#define B9 0x200
-#define B8 0x100
-#define M10 0x3ff
-#define M9 0x1ff
-
-#endif
-
/*----- Debugging machinery -----------------------------------------------*/
-#if defined(F25519_DEBUG) || defined(TEST_RIG)
+#if defined(F25519_DEBUG)
#include <stdio.h>
void f25519_load(f25519 *z, const octet xv[32])
{
-#if F25519_IMPL == 26
-
uint32 xw0 = LOAD32_L(xv + 0), xw1 = LOAD32_L(xv + 4),
xw2 = LOAD32_L(xv + 8), xw3 = LOAD32_L(xv + 12),
xw4 = LOAD32_L(xv + 16), xw5 = LOAD32_L(xv + 20),
/* And with that, we're done. */
STASH(z, x);
-
-#elif F25519_IMPL == 10
-
- piece x[NPIECE];
- unsigned i, j, n, wd;
- uint32 a;
- int b, c;
-
- /* First, just get the content out of the buffer. */
- for (i = j = a = n = 0, wd = 10; j < NPIECE; i++) {
- a |= (uint32)xv[i] << n; n += 8;
- if (n >= wd) {
- x[j++] = a&MASK(wd);
- a >>= wd; n -= wd;
- wd = PIECEWD(j);
- }
- }
-
- /* There's a little bit left over from the top byte. Carry it into the low
- * piece.
- */
- x[0] += 19*(int)(a&MASK(n));
-
- /* Next, convert the pieces into a roughly balanced signed representation.
- * If a piece's top bit is set, lend a bit to the next piece over. For
- * x_25, this needs to be carried around, which is a bit fiddly.
- */
- b = x[NPIECE - 1]&B8;
- c = 19&((b >> 3) - (b >> 8));
- x[NPIECE - 1] -= b << 1;
- for (i = NPIECE - 2; i > 0; i--) {
- wd = PIECEWD(i) - 1;
- b = x[i]&BIT(wd);
- x[i + 1] += b >> wd;
- x[i] -= b << 1;
- }
- b = x[0]&B9;
- x[1] += (b >> 9) + (x[0] >> 10);
- x[0] = (x[0]&M10) - (b << 1) + c;
-
- /* And we're done. */
- for (i = 0; i < NPIECE; i++) z->P[i] = x[i];
-
-#endif
}
/* --- @f25519_store@ --- *
void f25519_store(octet zv[32], const f25519 *x)
{
-#if F25519_IMPL == 26
-
piece PIECES(x), PIECES(y), c, d;
uint32 zw0, zw1, zw2, zw3, zw4, zw5, zw6, zw7;
mask32 m;
STORE32_L(zv + 8, zw2); STORE32_L(zv + 12, zw3);
STORE32_L(zv + 16, zw4); STORE32_L(zv + 20, zw5);
STORE32_L(zv + 24, zw6); STORE32_L(zv + 28, zw7);
-
-#elif F25519_IMPL == 10
-
- piece y[NPIECE], yy[NPIECE], c, d;
- unsigned i, j, n, wd;
- uint32 m, a;
-
- /* Before we do anything, copy the input so we can hack on it. */
- for (i = 0; i < NPIECE; i++) y[i] = x->P[i];
-
- /* First, propagate the carries throughout the pieces.
- *
- * It's worth paying careful attention to the bounds. We assume that we
- * start out with |y_i| <= 2^14. We start by cutting off and reducing the
- * carry c_25 from the topmost piece, y_25. This leaves 0 <= y_25 < 2^9;
- * and we'll have |c_25| <= 2^5. We multiply this by 19 and we'll ad it
- * onto y_0 and propagte the carries: but what bounds can we calculate on
- * y before this?
- *
- * Let o_i = floor(255 i/26). We have Y_i = SUM_{0<=j<i} y_j 2^{o_i}, so
- * y = Y_26. We see, inductively, that |Y_i| < 2^{31+o_{i-1}}: Y_0 = 0;
- * |y_i| <= 2^14; and |Y_{i+1}| = |Y_i + y_i 2^{o_i}| <= |Y_i| + 2^{14+o_i}
- * < 2^{15+o_i}. Then x = Y_25 + 2^246 y_25, and we have better bounds for
- * y_25, so
- *
- * -2^251 < y + 19 c_25 < 2^255 + 2^251
- *
- * Here, the y_i are signed, so we must be cautious about bithacking them.
- *
- * (Rather closer than the 10-piece case above, but still doable in one
- * pass.)
- */
- c = 19*ASR(piece, y[NPIECE - 1], 9);
- y[NPIECE - 1] = (upiece)y[NPIECE - 1]&M9;
- for (i = 0; i < NPIECE; i++) {
- wd = PIECEWD(i);
- y[i] += c;
- c = ASR(piece, y[i], wd);
- y[i] = (upiece)y[i]&MASK(wd);
- }
-
- /* Now the addition or subtraction. */
- m = SIGN(c);
- d = m&1;
-
- d += y[0] + (19 ^ (M10&m));
- yy[0] = d&M10;
- d >>= 10;
- for (i = 1; i < NPIECE; i++) {
- wd = PIECEWD(i);
- d += y[i] + (MASK(wd)&m);
- yy[i] = d&MASK(wd);
- d >>= wd;
- }
-
- /* Choose which value to keep. */
- m = NONZEROP(c) | ~NONZEROP(d - 1);
- for (i = 0; i < NPIECE; i++) y[i] = (yy[i]&m) | (y[i]&~m);
-
- /* Store the result as an octet string. */
- for (i = j = a = n = 0; i < NPIECE; i++) {
- a |= (upiece)y[i] << n; n += PIECEWD(i);
- while (n >= 8) {
- zv[j++] = a&0xff;
- a >>= 8; n -= 8;
- }
- }
- zv[j++] = a;
-
-#endif
}
/* --- @f25519_set@ --- *
void f25519_add(f25519 *z, const f25519 *x, const f25519 *y)
{
-#if F25519_IMPL == 26
z->P[0] = x->P[0] + y->P[0]; z->P[1] = x->P[1] + y->P[1];
z->P[2] = x->P[2] + y->P[2]; z->P[3] = x->P[3] + y->P[3];
z->P[4] = x->P[4] + y->P[4]; z->P[5] = x->P[5] + y->P[5];
z->P[6] = x->P[6] + y->P[6]; z->P[7] = x->P[7] + y->P[7];
z->P[8] = x->P[8] + y->P[8]; z->P[9] = x->P[9] + y->P[9];
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) z->P[i] = x->P[i] + y->P[i];
-#endif
}
/* --- @f25519_sub@ --- *
void f25519_sub(f25519 *z, const f25519 *x, const f25519 *y)
{
-#if F25519_IMPL == 26
z->P[0] = x->P[0] - y->P[0]; z->P[1] = x->P[1] - y->P[1];
z->P[2] = x->P[2] - y->P[2]; z->P[3] = x->P[3] - y->P[3];
z->P[4] = x->P[4] - y->P[4]; z->P[5] = x->P[5] - y->P[5];
z->P[6] = x->P[6] - y->P[6]; z->P[7] = x->P[7] - y->P[7];
z->P[8] = x->P[8] - y->P[8]; z->P[9] = x->P[9] - y->P[9];
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) z->P[i] = x->P[i] - y->P[i];
-#endif
}
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_neg@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@)
void f25519_neg(f25519 *z, const f25519 *x)
{
-#if F25519_IMPL == 26
z->P[0] = -x->P[0]; z->P[1] = -x->P[1];
z->P[2] = -x->P[2]; z->P[3] = -x->P[3];
z->P[4] = -x->P[4]; z->P[5] = -x->P[5];
z->P[6] = -x->P[6]; z->P[7] = -x->P[7];
z->P[8] = -x->P[8]; z->P[9] = -x->P[9];
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) z->P[i] = -x->P[i];
-#endif
}
+#endif
+
/*----- Constant-time utilities -------------------------------------------*/
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_pick2@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@ or @y@)
{
mask32 mm = FIX_MASK32(m);
-#if F25519_IMPL == 26
z->P[0] = PICK2(x->P[0], y->P[0], mm);
z->P[1] = PICK2(x->P[1], y->P[1], mm);
z->P[2] = PICK2(x->P[2], y->P[2], mm);
z->P[7] = PICK2(x->P[7], y->P[7], mm);
z->P[8] = PICK2(x->P[8], y->P[8], mm);
z->P[9] = PICK2(x->P[9], y->P[9], mm);
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) z->P[i] = PICK2(x->P[i], y->P[i], mm);
-#endif
}
/* --- @f25519_pickn@ --- *
uint32 b = (uint32)1 << (31 - i);
mask32 m;
-#if F25519_IMPL == 26
z->P[0] = z->P[1] = z->P[2] = z->P[3] = z->P[4] =
z->P[5] = z->P[6] = z->P[7] = z->P[8] = z->P[9] = 0;
while (n--) {
CONDPICK(z->P[9], v->P[9], m);
v++; b <<= 1;
}
-#elif F25519_IMPL == 10
- unsigned j;
+}
- for (j = 0; j < NPIECE; j++) z->P[j] = 0;
- while (n--) {
- m = SIGN(b);
- for (j = 0; j < NPIECE; j++) CONDPICK(z->P[j], v->P[j], m);
- v++; b <<= 1;
- }
#endif
-}
/* --- @f25519_condswap@ --- *
*
{
mask32 mm = FIX_MASK32(m);
-#if F25519_IMPL == 26
CONDSWAP(x->P[0], y->P[0], mm);
CONDSWAP(x->P[1], y->P[1], mm);
CONDSWAP(x->P[2], y->P[2], mm);
CONDSWAP(x->P[7], y->P[7], mm);
CONDSWAP(x->P[8], y->P[8], mm);
CONDSWAP(x->P[9], y->P[9], mm);
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) CONDSWAP(x->P[i], y->P[i], mm);
-#endif
}
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_condneg@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@)
void f25519_condneg(f25519 *z, const f25519 *x, uint32 m)
{
-#ifdef NEG_TWOC
mask32 m_xor = FIX_MASK32(m);
piece m_add = m&1;
# define CONDNEG(x) (((x) ^ m_xor) + m_add)
-#else
- int s = PICK2(-1, +1, m);
-# define CONDNEG(x) (s*(x))
-#endif
-#if F25519_IMPL == 26
z->P[0] = CONDNEG(x->P[0]);
z->P[1] = CONDNEG(x->P[1]);
z->P[2] = CONDNEG(x->P[2]);
z->P[7] = CONDNEG(x->P[7]);
z->P[8] = CONDNEG(x->P[8]);
z->P[9] = CONDNEG(x->P[9]);
-#elif F25519_IMPL == 10
- unsigned i;
- for (i = 0; i < NPIECE; i++) z->P[i] = CONDNEG(x->P[i]);
-#endif
#undef CONDNEG
}
-/*----- Multiplication ----------------------------------------------------*/
+#endif
-#if F25519_IMPL == 26
+/*----- Multiplication ----------------------------------------------------*/
/* Let B = 2^63 - 1 be the largest value such that +B and -B can be
* represented in a double-precision piece. On entry, it must be the case
CARRYSTEP(z##9, _t9, M25, B24, 1, _t8, 26); \
} while (0)
-#elif F25519_IMPL == 10
-
-/* Perform carry propagation on X. */
-static void carry_reduce(dblpiece x[NPIECE])
-{
- /* Initial bounds: we assume |x_i| < 2^31 - 2^27. */
-
- unsigned i, j;
- dblpiece c;
-
- /* The result is nearly canonical, because we do sequential carry
- * propagation, because smaller processors are more likely to prefer the
- * smaller working set than the instruction-level parallelism.
- *
- * Start at x_23; truncate it to 10 bits, and propagate the carry to x_24.
- * Truncate x_24 to 10 bits, and add the carry onto x_25. Truncate x_25 to
- * 9 bits, and add 19 times the carry onto x_0. And so on.
- *
- * Let c_i be the portion of x_i to be carried onto x_{i+1}. I claim that
- * |c_i| <= 2^22. Then the carry /into/ any x_i has magnitude at most
- * 19*2^22 < 2^27 (allowing for the reduction as we carry from x_25 to
- * x_0), and x_i after carry is bounded above by 2^31. Hence, the carry
- * out is at most 2^22, as claimed.
- *
- * Once we reach x_23 for the second time, we start with |x_23| <= 2^9.
- * The carry into x_23 is at most 2^27 as calculated above; so the carry
- * out into x_24 has magnitude at most 2^17. In turn, |x_24| <= 2^9 before
- * the carry, so is now no more than 2^18 in magnitude, and the carry out
- * into x_25 is at most 2^8. This leaves |x_25| < 2^9 after carry
- * propagation.
- *
- * Be careful with the bit hacking because the quantities involved are
- * signed.
- */
-
- /*For each piece, we bias it so that floor division (as done by an
- * arithmetic right shift) and modulus (as done by bitwise-AND) does the
- * right thing.
- */
-#define CARRY(i, wd, b, m) do { \
- x[i] += (b); \
- c = ASR(dblpiece, x[i], (wd)); \
- x[i] = (dblpiece)((udblpiece)x[i]&(m)) - (b); \
-} while (0)
-
- { CARRY(23, 10, B9, M10); }
- { x[24] += c; CARRY(24, 10, B9, M10); }
- { x[25] += c; CARRY(25, 9, B8, M9); }
- { x[0] += 19*c; CARRY( 0, 10, B9, M10); }
- for (i = 1; i < 21; ) {
- for (j = i + 4; i < j; ) { x[i] += c; CARRY( i, 10, B9, M10); i++; }
- { x[i] += c; CARRY( i, 9, B8, M9); i++; }
- }
- while (i < 25) { x[i] += c; CARRY( i, 10, B9, M10); i++; }
- x[25] += c;
-
-#undef CARRY
-}
-
-#endif
-
/* --- @f25519_mulconst@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@)
void f25519_mulconst(f25519 *z, const f25519 *x, long a)
{
-#if F25519_IMPL == 26
-
piece PIECES(x);
dblpiece PIECES(z), aa = a;
/* Following `CARRY_REDUCE', we'll have |z_i| <= 2^26. */
CARRY_REDUCE(z, z);
STASH(z, z);
-
-#elif F25519_IMPL == 10
-
- dblpiece y[NPIECE];
- unsigned i;
-
- for (i = 0; i < NPIECE; i++) y[i] = a*x->P[i];
- carry_reduce(y);
- for (i = 0; i < NPIECE; i++) z->P[i] = y[i];
-
-#endif
}
/* --- @f25519_mul@ --- *
void f25519_mul(f25519 *z, const f25519 *x, const f25519 *y)
{
-#if F25519_IMPL == 26
-
piece PIECES(x), PIECES(y);
dblpiece PIECES(z);
unsigned i;
*/
for (i = 0; i < 2; i++) CARRY_REDUCE(z, z);
STASH(z, z);
-
-#elif F25519_IMPL == 10
-
- dblpiece u[NPIECE], t, tt, p;
- unsigned i, j, k;
-
- /* This is unpleasant. Honestly, this table seems to be the best way of
- * doing it.
- */
- static const unsigned short off[NPIECE] = {
- 0, 10, 20, 30, 40, 50, 59, 69, 79, 89, 99, 108, 118,
- 128, 138, 148, 157, 167, 177, 187, 197, 206, 216, 226, 236, 246
- };
-
- /* First pass: things we must multiply by 19 or 38. */
- for (i = 0; i < NPIECE - 1; i++) {
- t = tt = 0;
- for (j = i + 1; j < NPIECE; j++) {
- k = NPIECE + i - j; p = (dblpiece)x->P[j]*y->P[k];
- if (off[i] < off[j] + off[k] - 255) tt += p;
- else t += p;
- }
- u[i] = 19*(t + 2*tt);
- }
- u[NPIECE - 1] = 0;
-
- /* Second pass: things we must multiply by 1 or 2. */
- for (i = 0; i < NPIECE; i++) {
- t = tt = 0;
- for (j = 0; j <= i; j++) {
- k = i - j; p = (dblpiece)x->P[j]*y->P[k];
- if (off[i] < off[j] + off[k]) tt += p;
- else t += p;
- }
- u[i] += t + 2*tt;
- }
-
- /* And we're done. */
- carry_reduce(u);
- for (i = 0; i < NPIECE; i++) z->P[i] = u[i];
-
-#endif
}
/* --- @f25519_sqr@ --- *
void f25519_sqr(f25519 *z, const f25519 *x)
{
-#if F25519_IMPL == 26
-
piece PIECES(x);
dblpiece PIECES(z);
unsigned i;
/* See `f25519_mul' for details. */
for (i = 0; i < 2; i++) CARRY_REDUCE(z, z);
STASH(z, z);
-
-#elif F25519_IMPL == 10
- f25519_mul(z, x, x);
-#endif
}
/*----- More complicated things -------------------------------------------*/
#undef SQRN
}
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_quosqrt@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@ or @y@)
return (rc);
}
-/*----- Test rig ----------------------------------------------------------*/
-
-#ifdef TEST_RIG
-
-#include <mLib/report.h>
-#include <mLib/str.h>
-#include <mLib/testrig.h>
-
-static void fixdstr(dstr *d)
-{
- if (d->len > 32)
- die(1, "invalid length for f25519");
- else if (d->len < 32) {
- dstr_ensure(d, 32);
- memset(d->buf + d->len, 0, 32 - d->len);
- d->len = 32;
- }
-}
-
-static void cvt_f25519(const char *buf, dstr *d)
-{
- dstr dd = DSTR_INIT;
-
- type_hex.cvt(buf, &dd); fixdstr(&dd);
- dstr_ensure(d, sizeof(f25519)); d->len = sizeof(f25519);
- f25519_load((f25519 *)d->buf, (const octet *)dd.buf);
- dstr_destroy(&dd);
-}
-
-static void dump_f25519(dstr *d, FILE *fp)
- { fdump(stderr, "???", (const piece *)d->buf); }
-
-static void cvt_f25519_ref(const char *buf, dstr *d)
- { type_hex.cvt(buf, d); fixdstr(d); }
-
-static void dump_f25519_ref(dstr *d, FILE *fp)
-{
- f25519 x;
-
- f25519_load(&x, (const octet *)d->buf);
- fdump(stderr, "???", x.P);
-}
-
-static int eq(const f25519 *x, dstr *d)
- { octet b[32]; f25519_store(b, x); return (memcmp(b, d->buf, 32) == 0); }
-
-static const test_type
- type_f25519 = { cvt_f25519, dump_f25519 },
- type_f25519_ref = { cvt_f25519_ref, dump_f25519_ref };
-
-#define TEST_UNOP(op) \
- static int vrf_##op(dstr dv[]) \
- { \
- f25519 *x = (f25519 *)dv[0].buf; \
- f25519 z, zz; \
- int ok = 1; \
- \
- f25519_##op(&z, x); \
- if (!eq(&z, &dv[1])) { \
- ok = 0; \
- fprintf(stderr, "failed!\n"); \
- fdump(stderr, "x", x->P); \
- fdump(stderr, "calc", z.P); \
- f25519_load(&zz, (const octet *)dv[1].buf); \
- fdump(stderr, "z", zz.P); \
- } \
- \
- return (ok); \
- }
-
-TEST_UNOP(neg)
-TEST_UNOP(sqr)
-TEST_UNOP(inv)
-
-#define TEST_BINOP(op) \
- static int vrf_##op(dstr dv[]) \
- { \
- f25519 *x = (f25519 *)dv[0].buf, *y = (f25519 *)dv[1].buf; \
- f25519 z, zz; \
- int ok = 1; \
- \
- f25519_##op(&z, x, y); \
- if (!eq(&z, &dv[2])) { \
- ok = 0; \
- fprintf(stderr, "failed!\n"); \
- fdump(stderr, "x", x->P); \
- fdump(stderr, "y", y->P); \
- fdump(stderr, "calc", z.P); \
- f25519_load(&zz, (const octet *)dv[2].buf); \
- fdump(stderr, "z", zz.P); \
- } \
- \
- return (ok); \
- }
-
-TEST_BINOP(add)
-TEST_BINOP(sub)
-TEST_BINOP(mul)
-
-static int vrf_mulc(dstr dv[])
-{
- f25519 *x = (f25519 *)dv[0].buf;
- long a = *(const long *)dv[1].buf;
- f25519 z, zz;
- int ok = 1;
-
- f25519_mulconst(&z, x, a);
- if (!eq(&z, &dv[2])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fprintf(stderr, "a = %ld\n", a);
- fdump(stderr, "calc", z.P);
- f25519_load(&zz, (const octet *)dv[2].buf);
- fdump(stderr, "z", zz.P);
- }
-
- return (ok);
-}
-
-static int vrf_condneg(dstr dv[])
-{
- f25519 *x = (f25519 *)dv[0].buf;
- uint32 m = *(uint32 *)dv[1].buf;
- f25519 z;
- int ok = 1;
-
- f25519_condneg(&z, x, m);
- if (!eq(&z, &dv[2])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fprintf(stderr, "m = 0x%08lx\n", (unsigned long)m);
- fdump(stderr, "calc z", z.P);
- f25519_load(&z, (const octet *)dv[1].buf);
- fdump(stderr, "want z", z.P);
- }
-
- return (ok);
-}
-
-static int vrf_pick2(dstr dv[])
-{
- f25519 *x = (f25519 *)dv[0].buf, *y = (f25519 *)dv[1].buf;
- uint32 m = *(uint32 *)dv[2].buf;
- f25519 z;
- int ok = 1;
-
- f25519_pick2(&z, x, y, m);
- if (!eq(&z, &dv[3])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- fprintf(stderr, "m = 0x%08lx\n", (unsigned long)m);
- fdump(stderr, "calc z", z.P);
- f25519_load(&z, (const octet *)dv[3].buf);
- fdump(stderr, "want z", z.P);
- }
-
- return (ok);
-}
-
-static int vrf_pickn(dstr dv[])
-{
- dstr d = DSTR_INIT;
- f25519 v[32], z;
- size_t i = *(uint32 *)dv[1].buf, j, n;
- const char *p;
- char *q;
- int ok = 1;
-
- for (q = dv[0].buf, n = 0; (p = str_qword(&q, 0)) != 0; n++)
- { cvt_f25519(p, &d); v[n] = *(f25519 *)d.buf; }
-
- f25519_pickn(&z, v, n, i);
- if (!eq(&z, &dv[2])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- for (j = 0; j < n; j++) {
- fprintf(stderr, "v[%2u]", (unsigned)j);
- fdump(stderr, "", v[j].P);
- }
- fprintf(stderr, "i = %u\n", (unsigned)i);
- fdump(stderr, "calc z", z.P);
- f25519_load(&z, (const octet *)dv[2].buf);
- fdump(stderr, "want z", z.P);
- }
-
- dstr_destroy(&d);
- return (ok);
-}
-
-static int vrf_condswap(dstr dv[])
-{
- f25519 *x = (f25519 *)dv[0].buf, *y = (f25519 *)dv[1].buf;
- f25519 xx = *x, yy = *y;
- uint32 m = *(uint32 *)dv[2].buf;
- int ok = 1;
-
- f25519_condswap(&xx, &yy, m);
- if (!eq(&xx, &dv[3]) || !eq(&yy, &dv[4])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- fprintf(stderr, "m = 0x%08lx\n", (unsigned long)m);
- fdump(stderr, "calc xx", xx.P);
- fdump(stderr, "calc yy", yy.P);
- f25519_load(&xx, (const octet *)dv[3].buf);
- f25519_load(&yy, (const octet *)dv[4].buf);
- fdump(stderr, "want xx", xx.P);
- fdump(stderr, "want yy", yy.P);
- }
-
- return (ok);
-}
-
-static int vrf_quosqrt(dstr dv[])
-{
- f25519 *x = (f25519 *)dv[0].buf, *y = (f25519 *)dv[1].buf;
- f25519 z, zz;
- int rc;
- int ok = 1;
-
- if (dv[2].len) { fixdstr(&dv[2]); fixdstr(&dv[3]); }
- rc = f25519_quosqrt(&z, x, y);
- if (!dv[2].len ? !rc : (rc || (!eq(&z, &dv[2]) && !eq(&z, &dv[3])))) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- if (rc) fprintf(stderr, "calc: FAIL\n");
- else fdump(stderr, "calc", z.P);
- if (!dv[2].len)
- fprintf(stderr, "exp: FAIL\n");
- else {
- f25519_load(&zz, (const octet *)dv[2].buf);
- fdump(stderr, "z", zz.P);
- f25519_load(&zz, (const octet *)dv[3].buf);
- fdump(stderr, "z'", zz.P);
- }
- }
-
- return (ok);
-}
-
-static int vrf_sub_mulc_add_sub_mul(dstr dv[])
-{
- f25519 *u = (f25519 *)dv[0].buf, *v = (f25519 *)dv[1].buf,
- *w = (f25519 *)dv[3].buf, *x = (f25519 *)dv[4].buf,
- *y = (f25519 *)dv[5].buf;
- long a = *(const long *)dv[2].buf;
- f25519 umv, aumv, wpaumv, xmy, z, zz;
- int ok = 1;
-
- f25519_sub(&umv, u, v);
- f25519_mulconst(&aumv, &umv, a);
- f25519_add(&wpaumv, w, &aumv);
- f25519_sub(&xmy, x, y);
- f25519_mul(&z, &wpaumv, &xmy);
-
- if (!eq(&z, &dv[6])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "u", u->P);
- fdump(stderr, "v", v->P);
- fdump(stderr, "u - v", umv.P);
- fprintf(stderr, "a = %ld\n", a);
- fdump(stderr, "a (u - v)", aumv.P);
- fdump(stderr, "w + a (u - v)", wpaumv.P);
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- fdump(stderr, "x - y", xmy.P);
- fdump(stderr, "(x - y) (w + a (u - v))", z.P);
- f25519_load(&zz, (const octet *)dv[6].buf); fdump(stderr, "z", zz.P);
- }
-
- return (ok);
-}
-
-static test_chunk tests[] = {
- { "add", vrf_add, { &type_f25519, &type_f25519, &type_f25519_ref } },
- { "sub", vrf_sub, { &type_f25519, &type_f25519, &type_f25519_ref } },
- { "neg", vrf_neg, { &type_f25519, &type_f25519_ref } },
- { "condneg", vrf_condneg,
- { &type_f25519, &type_uint32, &type_f25519_ref } },
- { "mul", vrf_mul, { &type_f25519, &type_f25519, &type_f25519_ref } },
- { "mulconst", vrf_mulc, { &type_f25519, &type_long, &type_f25519_ref } },
- { "pick2", vrf_pick2,
- { &type_f25519, &type_f25519, &type_uint32, &type_f25519_ref } },
- { "pickn", vrf_pickn,
- { &type_string, &type_uint32, &type_f25519_ref } },
- { "condswap", vrf_condswap,
- { &type_f25519, &type_f25519, &type_uint32,
- &type_f25519_ref, &type_f25519_ref } },
- { "sqr", vrf_sqr, { &type_f25519, &type_f25519_ref } },
- { "inv", vrf_inv, { &type_f25519, &type_f25519_ref } },
- { "quosqrt", vrf_quosqrt,
- { &type_f25519, &type_f25519, &type_hex, &type_hex } },
- { "sub-mulc-add-sub-mul", vrf_sub_mulc_add_sub_mul,
- { &type_f25519, &type_f25519, &type_long, &type_f25519,
- &type_f25519, &type_f25519, &type_f25519_ref } },
- { 0, 0, { 0 } }
-};
-
-int main(int argc, char *argv[])
-{
- test_run(argc, argv, tests, SRCDIR "/t/f25519");
- return (0);
-}
-
#endif
/*----- That's all, folks -------------------------------------------------*/
+/*
+ * f25519.h: arithmetic modulo 2^255 - 19
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and lightly modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the 16/32-bit implementation, since C99 always has 64-bit
+ * arithmetic.
+ *
+ * * Disable some of the operations which aren't needed for X25519.
+ * (They're used for Ed25519, which we don't need.)
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* Arithmetic modulo 2^255 - 19
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
+#include "fake-mLib-bits.h"
#ifndef CATACOMB_QFARITH_H
# include "qfarith.h"
typedef union {
int32 p26[10];
- int16 p10[26];
} f25519;
-#if !defined(F25519_IMPL) && defined(HAVE_INT64)
-# define F25519_IMPL 26
-#endif
-
-#ifndef F25519_IMPL
-# define F25519_IMPL 10
-#endif
-
/*----- Functions provided ------------------------------------------------*/
+#define F25519_TRIM_X25519
+
/* --- @f25519_set@ --- *
*
* Arguments: @f25519 *z@ = where to write the result
extern void f25519_store(octet /*zv*/[32], const f25519 */*x*/);
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_pick2@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@ or @y@)
extern void f25519_pickn(f25519 */*z*/, const f25519 */*v*/, size_t /*n*/,
size_t /*i*/);
+#endif
+
/* --- @f25519_condswap@ --- *
*
* Arguments: @f25519 *x, *y@ = two operands
extern void f25519_sub(f25519 */*z*/,
const f25519 */*x*/, const f25519 */*y*/);
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_neg@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@)
extern void f25519_condneg(f25519 */*z*/, const f25519 */*x*/, uint32 /*m*/);
+#endif
+
/* --- @f25519_mulconst@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@)
extern void f25519_inv(f25519 */*z*/, const f25519 */*x*/);
+#ifndef F25519_TRIM_X25519
+
/* --- @f25519_quosqrt@ --- *
*
* Arguments: @f25519 *z@ = where to put the result (may alias @x@ or @y@)
extern int f25519_quosqrt(f25519 */*z*/,
const f25519 */*x*/, const f25519 */*y*/);
+#endif
+
/*----- That's all, folks -------------------------------------------------*/
#ifdef __cplusplus
--- /dev/null
+/*
+ * This file is part of secnet.
+ * See README for full list of copyright holders.
+ *
+ * secnet is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version d of the License, or
+ * (at your option) any later version.
+ *
+ * secnet is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * version 3 along with secnet; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+
+#ifndef fake_mLib_bits_h
+#define fake_mLib_bits_h
+
+/* The <mLib/bits.h> header defines a large number of types and macros for
+ * various kinds of bithacking. Notably, it has machinery for autodetecting
+ * suitable types holding (at least) various numbers of bits -- a service
+ * which C99 provides through other means.
+ *
+ * This file provides a small portion of the <mLib/bits.h> interface, just
+ * enough to make the pieces of code lifted from Catacomb feel at home.
+ */
+
+#include <stdint.h>
+#include "unaligned.h"
+
+typedef uint8_t octet;
+typedef uint_fast32_t uint32;
+typedef uint_fast64_t uint64;
+#define HAVE_UINT64 1
+
+#define LOAD32_L(p) (get_uint32_le(p))
+#define STORE32_L(p, x) put_uint32_le((p), (x))
+
+#define U32(x) ((uint32)(x) & 0xffffffffu)
+
+#define NEG_TWOC 1 /* assume two's complement */
+
+#endif /* fake_mLib_bits_h */
+++ /dev/null
-### Test cases for arithmetic mod 2^448 - 2^224 - 1.
-
-add {
- ## Some easy ones.
- ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff
- 00
- ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff;
- fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff
- 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff;
- fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff
- 01 00;
-
- ## Random tests.
- 6b3944398448a0a5f6c4e1be9abfcbb082b8f68f1c831d51ef2244f6e1a4c4baaf0ada769c1261b8e14b4856de381d69961078ea1949d39c
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-}
-
-sub {
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- 91bbfafef1161363e424157bb684b5f16661f421c35624375a2d804df73fee1c68ba85e6181ef16c57a54cfe642d3d9952057cfc86596363;
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- 790ea1c58fc9b7d54b68937e960db731262f66fd9551f83528759c7db058eef7ec43acdb8c0cf287e0f68c462f5b33f86d4c393e90c6ed31;
- 8f3fd6346c7f2dacf0d7cdb88a5bca3b222a895a07b169d0bcd0af0a9aa634876ae1a939262dd75bd12b5a97127155a015e00acac7d5cbc8
- 0e9c03c5a06accdddd0d8613e41a00f2b586e297e366987e02e7536e0ca1b4c2c75fed619655acddffe8585c7a828432d90575731a4c8519
- 81a3d26fcb1461ce12ca47a5a640ca496ca3a6c2234ad151bae95b9c8d0580c4a281bcd78fd72a7ed142013b98eed06d3cda9556ad8946af;
-}
-
-condswap {
- db0be3ccfda1e2f8492bffb5d3344f1856ff1896b6a067d2fa064423ac5b05b669db1c9b51899c44a7f470be4173856d9aa3d1cd10cb8c9b
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- 0xffffffff
- 3005560f89232a97cebf6808e7493dd0f17e572556b53723b57faee51d8a0a45c7fb51aeb916f59c74ea6041494483b2fdce72189d1bd031
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- ea009751f6a7045ec7d6d46b16cbe663f5a78fca3835626c79864bec4030443bb9349654d52b2edab92b8f4aa876a97e868aa6267a54e6b1
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- 0x00000000
- ea009751f6a7045ec7d6d46b16cbe663f5a78fca3835626c79864bec4030443bb9349654d52b2edab92b8f4aa876a97e868aa6267a54e6b1
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- 0x00000000
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- 935eadbde0c571c29deb4d8404dd39a8cca177ced36c359abfa7a6cafe6075422e1d79cba8d81cdbdfa4a5144faf37b19ca22b2b40fe1a0b
- 0x00000000
- 69b45538513af2148e0a2903539bc5e20fca4da447278bf5967091d2e781121080c14a41989f9ee5218c444d3a42989ba890c7be7faae5d3
- 935eadbde0c571c29deb4d8404dd39a8cca177ced36c359abfa7a6cafe6075422e1d79cba8d81cdbdfa4a5144faf37b19ca22b2b40fe1a0b;
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- 0x00000000
- de30072f175127ad4200a08099f4d0df0edfa40eb02e21a03c5628dcb2f70da8bce9ebbb1ebed2aca391e73a4114c06bcdbf762bf28777cf
- 5eaf3aecf1f7d1fd3b43be8fa450163c79f162b0c6eaa4b1ad39baaf3a4c36564e001c935fdce38e90789151beff0f3cc4fdfc2d86dcb587;
- 1bb20a5a05b190737ad6b2bc5bc2b9259fa7e36eac8f3032a7c56ed59c1510baaea32bba898b329b0c64fadbe454095b9f82b366bfae3d8b
- cf0a87c8befed020caf82f37b4c5f17d2aa9ff8ab75baa156cfe2716ac1eaabf9bc760c2ddcd66a9d02a8384ad1db9e8f857b151d126e0ef
- 0x00000000
- 1bb20a5a05b190737ad6b2bc5bc2b9259fa7e36eac8f3032a7c56ed59c1510baaea32bba898b329b0c64fadbe454095b9f82b366bfae3d8b
- cf0a87c8befed020caf82f37b4c5f17d2aa9ff8ab75baa156cfe2716ac1eaabf9bc760c2ddcd66a9d02a8384ad1db9e8f857b151d126e0ef;
- c186531a219344dc485cd5dad6500616ac8e0653693168573cb9be590b02dfb1ddc5d87d27f2d9fa46ffeda955a6285b7ef2b9bf84825d06
- 91f3be7eb2e0be38d92974d81be5126ef40d358f242d23aa4863fb16ba3e8844e02edc87c0206e211587886ed532da0ab148cfcf64e9b58d
- 0x00000000
- c186531a219344dc485cd5dad6500616ac8e0653693168573cb9be590b02dfb1ddc5d87d27f2d9fa46ffeda955a6285b7ef2b9bf84825d06
- 91f3be7eb2e0be38d92974d81be5126ef40d358f242d23aa4863fb16ba3e8844e02edc87c0206e211587886ed532da0ab148cfcf64e9b58d;
- 9f2476d6db424d19ee0cba4ed091da5b44ca63caf2f711eaeb7edcc75f49e0d0c367c1f2817b6bb39460f897432901064cabed7f6a03b1f0
- 66e7dcd34d76a19e3285685112b7619f9a3557764a918922faf1370bb97c2b2fa845dd34662cfe7299ab702c68fd43b5f6f15a0af6625f2e
- 0xffffffff
- 66e7dcd34d76a19e3285685112b7619f9a3557764a918922faf1370bb97c2b2fa845dd34662cfe7299ab702c68fd43b5f6f15a0af6625f2e
- 9f2476d6db424d19ee0cba4ed091da5b44ca63caf2f711eaeb7edcc75f49e0d0c367c1f2817b6bb39460f897432901064cabed7f6a03b1f0;
- f124ac31d304a29cdd94bdc0611c61064a7c5f09cf6847bccd52fc7a7b77ede73b42b1ef75f000de4361028e0fb63896f4ef5ad3bc1b9c90
- 6629084a230c793086e469b9a01e052ad7a5680d6955667e0dfb19a250f447d9e238695400dc4ecaeefcebed44d374e57ec4e414f5629e63
- 0x00000000
- f124ac31d304a29cdd94bdc0611c61064a7c5f09cf6847bccd52fc7a7b77ede73b42b1ef75f000de4361028e0fb63896f4ef5ad3bc1b9c90
- 6629084a230c793086e469b9a01e052ad7a5680d6955667e0dfb19a250f447d9e238695400dc4ecaeefcebed44d374e57ec4e414f5629e63;
- b64f2952510827bef3d32ef6347251274c7241d9913268a7a6a5c360a4b29e7ed04d09a9ee5aa83235eaf8c0582b076b21d78b7062952773
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- 0xffffffff
- 77897028a9a81fd54362a6085aa2c2fd6fdd44589f447c7310b9b3b5a29b54ed15c57e2c9fbff16f20129a4dbd43640a0d1037e277ca5c93
- b64f2952510827bef3d32ef6347251274c7241d9913268a7a6a5c360a4b29e7ed04d09a9ee5aa83235eaf8c0582b076b21d78b7062952773;
- 4d75efd204a66aed323456e6f55cb891ee7a31d739ae89726e0ea84532f9c740d1b647b117094fb85da2c62da04f3b9cb13db6b840046b7c
- 0afd07bb073a150e7b82711e1f42f7b0789af8192ea6b4e1b24a3d48de7f8b802875aca5a02a9d24deca0b58c895992a449d01026495b96c
- 0x00000000
- 4d75efd204a66aed323456e6f55cb891ee7a31d739ae89726e0ea84532f9c740d1b647b117094fb85da2c62da04f3b9cb13db6b840046b7c
- 0afd07bb073a150e7b82711e1f42f7b0789af8192ea6b4e1b24a3d48de7f8b802875aca5a02a9d24deca0b58c895992a449d01026495b96c;
- 1ff4eb5f0280744f0c909cede8be29cccb8ae43e4626018a9a1d352a97d987678863ba34bdeb183bb5e9347e96760665f5881570778a2e19
- 49cd390a9edc7fad6c84c2e44ce09e490161094d2dc6cad30759fbef10aa30e5aa6474bc46571188418f3e4a2b19ecfc379a1f94e3a44e48
- 0x00000000
- 1ff4eb5f0280744f0c909cede8be29cccb8ae43e4626018a9a1d352a97d987678863ba34bdeb183bb5e9347e96760665f5881570778a2e19
- 49cd390a9edc7fad6c84c2e44ce09e490161094d2dc6cad30759fbef10aa30e5aa6474bc46571188418f3e4a2b19ecfc379a1f94e3a44e48;
- e96c0316baf01c25ef8a41c02e99aa84c82f8eecd3249be268834afb5f7e95f0ad10bfad4160bb335c30ffd6a1090c91c57eb6ac7a7a5e66
- 115e6f115bc4e19af60710f3dd821fb58cb680a32d6973eae9ea3e48f1928dc1d9f684a8c8de80affc59bc0fb342bb040f89d2d46b8ff8fc
- 0x00000000
- e96c0316baf01c25ef8a41c02e99aa84c82f8eecd3249be268834afb5f7e95f0ad10bfad4160bb335c30ffd6a1090c91c57eb6ac7a7a5e66
- 115e6f115bc4e19af60710f3dd821fb58cb680a32d6973eae9ea3e48f1928dc1d9f684a8c8de80affc59bc0fb342bb040f89d2d46b8ff8fc;
- 71bd8f5036da4c33f6940348ea448c2f9bccb152dab40b410bd695923a9e255b33aaf361055be4bb9a570e201dce784cc1ccb0f89faca85f
- 971b2f6569ddd9099a87ec4086d8218abcfbe81579f25f03634e471170a5088f48a6cfd09ed9e389ca37b780165c00b206304229135b6044
- 0xffffffff
- 971b2f6569ddd9099a87ec4086d8218abcfbe81579f25f03634e471170a5088f48a6cfd09ed9e389ca37b780165c00b206304229135b6044
- 71bd8f5036da4c33f6940348ea448c2f9bccb152dab40b410bd695923a9e255b33aaf361055be4bb9a570e201dce784cc1ccb0f89faca85f;
- 0f1165e19968f3e6159e9f7f843c1b849e5c3917af4e2798869112c6efca9993ed339c8495eec8c54b286820bf7befdc8ae344e4d309c077
- 7ce5a2ae66b9bddd30c98d9aa9fcdd6ef90d244d10115d15cf5d81e9e389f6852b153a42c642447043fcfd278166b92c624508973449b0e8
- 0xffffffff
- 7ce5a2ae66b9bddd30c98d9aa9fcdd6ef90d244d10115d15cf5d81e9e389f6852b153a42c642447043fcfd278166b92c624508973449b0e8
- 0f1165e19968f3e6159e9f7f843c1b849e5c3917af4e2798869112c6efca9993ed339c8495eec8c54b286820bf7befdc8ae344e4d309c077;
- 6dd07b4891d8f45ad1ee64da38383ec50d6f29634767607eca19a547cadc3c157ebe7d86a28d4d2fa2d40f2c5402d8b338cfd8d30aeadb6a
- 63da9a5a0cd51e58168ddb305c0e70a2f898279dae6394e1b3e1ef3a0763847d5d2f15be493114360204d037d7d3c3a9e746d27dcb544ded
- 0xffffffff
- 63da9a5a0cd51e58168ddb305c0e70a2f898279dae6394e1b3e1ef3a0763847d5d2f15be493114360204d037d7d3c3a9e746d27dcb544ded
- 6dd07b4891d8f45ad1ee64da38383ec50d6f29634767607eca19a547cadc3c157ebe7d86a28d4d2fa2d40f2c5402d8b338cfd8d30aeadb6a;
- d91228b648f75350d775432af35be9aa283e9729fcd3b689f0c7ee02ea67efd33493980ae5eec92ad6ab42ccd253a7aab5a62c26be275278
- 07c5d1b4f9b8db88cd4187b1ae5e175bf703af12b26d066c1d55dd367569d3e23e3d0470f3c47e6761746ce7de39cf563500d026a6791980
- 0xffffffff
- 07c5d1b4f9b8db88cd4187b1ae5e175bf703af12b26d066c1d55dd367569d3e23e3d0470f3c47e6761746ce7de39cf563500d026a6791980
- d91228b648f75350d775432af35be9aa283e9729fcd3b689f0c7ee02ea67efd33493980ae5eec92ad6ab42ccd253a7aab5a62c26be275278;
- f9e764e20657319802b53ee29df43b0d83d994d9049b9820fc0c31b631265c49f6613923a042eadce5902fb81753784ff5a9c0de2c4f6b12
- 6ab2f8279e82aa65e8326e5c60bfa067e4967b3ea67d0369853282e5429736529a43eeee3fdf24ebbe5ca85b59647994fc99c90da83c6229
- 0xffffffff
- 6ab2f8279e82aa65e8326e5c60bfa067e4967b3ea67d0369853282e5429736529a43eeee3fdf24ebbe5ca85b59647994fc99c90da83c6229
- f9e764e20657319802b53ee29df43b0d83d994d9049b9820fc0c31b631265c49f6613923a042eadce5902fb81753784ff5a9c0de2c4f6b12;
- 772289865ac905fac203e4654b258890ddb91cac71c6d2af3826e3acfebfa222c937b40069ce3a757e2ffd960b5821ed1ad54e4ad2e3c6fd
- 58dbf838ab81a754533c7f80fea48cbc981f724e4c150ddbb0afb5c711a8e21079446f77c427f7eb1892c096fa3eae5e2b070413611cd184
- 0xffffffff
- 58dbf838ab81a754533c7f80fea48cbc981f724e4c150ddbb0afb5c711a8e21079446f77c427f7eb1892c096fa3eae5e2b070413611cd184
- 772289865ac905fac203e4654b258890ddb91cac71c6d2af3826e3acfebfa222c937b40069ce3a757e2ffd960b5821ed1ad54e4ad2e3c6fd;
- 0bd6656d68c41bfc5389db274367f69191754919435ba58d2256017b5bc595d102c6f4f745b3ceb0c32bd0a6cdadded3a3dc925ef2b5c73c
- 1d903009c74d3d135a192bd42466cd28303f482626a7d10832f1f6eae72c3b051b0373e62300a71226011475034f0bfc6c9a65601bb83993
- 0xffffffff
- 1d903009c74d3d135a192bd42466cd28303f482626a7d10832f1f6eae72c3b051b0373e62300a71226011475034f0bfc6c9a65601bb83993
- 0bd6656d68c41bfc5389db274367f69191754919435ba58d2256017b5bc595d102c6f4f745b3ceb0c32bd0a6cdadded3a3dc925ef2b5c73c;
-}
-
-mulconst {
- cb908747a1af81f52715ef8440aed06aaacbcd7903c99cdecef5ec54e7845bedaad6475028b0cbdb0d53b6eeb71843f900fefd398a083d5a -417895
- e95e64fd1b2e2e79d1bfef5c96942eaf7ca5d40b1af774ed9c4ea2351c8ae81013f896bafd1f0b0e3a3c2ca3347c6cf88f988877af5e009b;
- 46b23d83c0848e79af947191cb76b087483beec6224af749e59c0c5ae27ff8abada31da895f8132aae0457f5ddc30d18a8d52046fbe6ef55 384370
- 31c9bf2f3bdfd3c1dc115db96d7a1c15e2a9ae67dfebccddc9408a0dcd147d9aa62ce4a55a2d6ad54542317756a08d6be3b959bf132624e2;
- 53e19751de62909506bebf74411d359014ec4b6afbb8ce14eeed8a3938013f0fee6897e3cc3adcbc90d7df321c4caa1941d0e5909551335d -49682
- 82fb902a8992ec1032a6837cec56189c45d1c1fdc47748e17dd9ecabc807a52eb537d6411f99f4d3b328e7ca76475924f90506a8adeb908e;
- 7ff3b9b3d8ee248a48d0c8d308d8c3658374acc92303143061a46656ae2b35094ed7b5b27d23366c0e42ee0a9471a4355d81cda0e4390348 131908
- adbb3dd21e634dfe2c41593c65249f03a048338037d4a107892df36f10e3ff68402d6f48e74bc7a7858f2c3650fd2a10acdfd4213850529e;
- f532f4f5ab5447b083ee4225246aaa4448696e4fc8bcf5b0ec1b52df88354e5327d7a3cf6e15db9945205968c275755ea3906a27437d29ed 383911
- 1f42b3585a2553ab19b14639c3e3aca636d88053c70fb758962713783bcd824b729fb4d01dd56a344d991bf2d32a2967acf470b39bee88a6;
- ef0e2a829097e50575eae6b1ad3fa10b8e417b0363654e0cb07a563a905c02e367c6f1ad7be1469b9f5295e3db0726853adffb820715f7d1 -226220
- a7c5387af1b9f61f09d628feac1a050173021386775c9f534557b8841b812155325e3632eee7a2302ef8af0b4746575d6c2bcf3b29f674b0;
- 3b4655b1c22542ca413f76bc24751a01cdab6b385b50301d67fd62ba31ad132150e38e12a849405112c4742e93b92849bd8b872c29edb2f9 -89924
- b51c0dfa2407a89435fedbcfd7835b6e0849d8626995fd00974f44c49d794d3c5dc16028e9fdee45bbcd269035e8bdba695a6653028d4d59;
- 48bdc2073bff25ae9bf7fcc368d65602a71e48c343bc7181c361331f108867d56c588f698aa5b91222f5dbbc859bce656f2607b053222fc7 66432
- e845dfe65d563884074ffeecaa325706df4a129b73b056cab6ad999588216d72525222ce00ce4d2ffb09fcf6f010a6eeb2eb753fefd44b47;
- 98a26f23f83673a480076b2fc7ccfef07fbbe70c4160d5af638c345f7d17b00931efff543fd47b7b8b362a70657a458566ada4aefd1c5eaf 492192
- 0ef483482255b5ca0f8338317f6eaf9c4fbf8bde8b8b04e26d2cdc0632186f1e62a9c3a1be23e8dc444ce50783135aeca614c884bdb77a30;
- 6ebf7c4e06837120cc852a077945656046e64c2d88ce440bdfc8d38736a4d510a722bc8b0d225f11df0e704e4b04c48bf481da68fd1e150e -7098
- 8d4e2cd12323b5744442fe4e4fc21748b344d7f94794398ec187f0f986ee743cd733a7a16bd4495818ab033103f020c794c988c5d2c1628a;
- 94e49f2bb473a7273abed94363c4dc3d13db159e3c3698a62ce5f321252aa03c7f63dd6eff9529c985f43abc7283d11140cb44ff6fd0f3d3 -392951
- 58a606cdc1bf1d5646fc08c7a6b3336fbe532c823c70242ea7536cc6dcdde7c4f492306e39ac0fb88367e41d63a8305d69fab57a52c8c284;
- cd262298ce3b73294bfb523c30206fc3771144890a0ebcef19e02e5085973a6aeefabdf8cb7186d57be38ee84b114b9a7a22556c0cf88df1 -237681
- 7553420c53b255fb909d6e9008f043e7af25a2a9c29b177b830ff1ae6f6fdcb6aefb8386465f24634fb04c6078322ac691586f91cf7928bd;
- cc9bd2e72ce15dd50877f95812b65c65cf09b14e2817784a5b296c123e498c532362180a932a455b2ddb75e26335dbcb21eb94a90ebb6940 246794
- 8838e720b6e497d9cde9fbddc2333c13cb5bdbbbe5afe41ffd61f5035c8c4987fddb8036c25b0505765bf1a5aa369c6bf7723c65278584a8;
- d8ab6b8f3523e98f49140e051c0b744bb0068d20f499c0763aa28ec1d1dd7e86356f357149c317376be96cd520b3ae04a2c4d468d74745e8 -360296
- 4c0bc5f6fc52c6302b74c790d57ccc8fae59f2aeebb59c3393c56e70060f4d170ea41354f5040804a6e8dcb4a7c585ee71a6d90454e701de;
- 6036fbfb9fcc223a1776ec67c9424788aabe553a7d6a0472159edc747ebaf97e99f7263ece635ef0b702a3610aef32e17f59fae503e18d74 -5433
- f6fa9a49b55077330fcda976a19ba7cfd98e44fa54044840df0ae9e19710193e684703f7fadbcbbc534e7be3adec0cae0d95ea414494f368;
- a3433dfc89ec4d6d858bb5b018e2d474b7de7604ed4491957fe16453d3793740ef88136814f59b19ed3610252e74cbc3a36571d02e57913b 237641
- 7a01a802b7a5aca44675887d9cf94d04d4893e2dc5d7474090cb32798fa370690255f57d18dce2a57126bb5883672b5a74a1c780f48f7bd8;
- c17ecc6099e9630a4ec20f4199abe1c10d414f6d734014ada1e6f097090a2bb4e638fb52d9bf56080d77c2b535f52cb091cbaad3c65072e8 517226
- 708adeac4ff99cac4c3eb649d55276f58a7d21a0507af176a53893c567050d352af501a9c242baf53121e8b56f5679b175dc01538350b644;
- 134263fd765e5f1da64900df5643c5241d4fa8a9e96ee59f01667b64f9122e85e995b90d4bf5d5fe9f68825dfa6edd19d8ce009270ae2984 390674
- 2ffbda7ccbeecd8dc4600965679146753c496d35bfa546e13edbbaa259065b024c8aaa3a17a3384f4f14d5ee01371ac55fb50a153b4ac1c0;
- 54326fffef9f0fe1207a07c8ac063d64b3fe81528e005f857319a74da2c3423a552b05f8c465908b028a2dcf15cb7158c99a1d2bdfd890da -255467
- e554e875e480c68c4fd780425ff8fb50f18bbafd0536a09489bc7cf197fdcb80dd4c7e31447a1a862066b6761ea39ea3b8c3002039c86b40;
- 5c30f73ec3addb2d27e0e79579063f2d30fa9fb47c2b6a3a32553120a047cad83abc901e5a5b4a65f8e51144f7eb0abec9a4d105236b2618 -466309
- 5ec894f6abe2d88971da11b982c3322d1f533a326057816f6273585bfa186a7f569ddf93c27e8e74719ddb515689d5935c56e6b86936f22b;
-}
-
-mul {
- ## Easy tests.
- 03 02 06;
- f7ffffdfffffff00000050000000000000a0ffffff03000090fffffffbffffafffffff00000020000000fdffff9ffffffff9ffff7fffffff
- ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff
- bfffff6f02000083ffff5f010000a1ffff9ffcffffc0ffff6ffdffffc4ffffff02000082ffff8f03000089ffff6ffaffff7cffffff000000;
- f8ff7ffeff5f00001000000800000300000100a0ffffafffff130000fbffff0100000000e0ffffebffffffff7ffffffffeff1f0000080000
- f7ff7f0200e0ffffefffff070000faff7ffefffffefffffffff7ffff040080ffff1fffff8ffffff7ffff0500800200000000f0fffffbffff
- 0a0100240020f5ff7ffdff4fffff4100003a00201400400300a8feff030180e6fffff9ff8f02003001002c0000f0ff9f0600d0f8ff670200;
-
- ## Random tests.
- 94aa99eaba90c5eb2efd7101c8efeffc1e44c8fcd84ccb8ef27b9792ae12534c0a250e5400407177bd655e51c343f776a3fd26474da4dc74
- 284a0f7df2d7d7c760cc57b1606625884c1643020230a9eecca7de6098f5338ddf9297daecae8a07e199494cb6db91c2c683566bf79545d2
- 213a31ed7e494f470736ded872f2c4f3675562a7b42bf01ea246be0ecaae2a61ae500690df9f99ea9fa8e5e1b9ccf3614bc34148b7693c91;
- a434abefb0de3c7f5e33f9230ead871bb3f06888c0d568b9a74fa32b676dc600fed2d54a042e1b97340852c4d6ef796a18561884d760d4ad
- 99d4c85f047d3dd8e530c50ae7d80815a30ec6ba820316f5da922cfa7a51ab45290ac2ab8a53082716a6d7f77ac5a285fac298eca4fd9c52
- 97b2991fcc858d5667d3674484db9435ba71ab0c836c534efb823c123f9e94d0d3445257c55c73e8bd62f1d7acf1d75fea5eea669bfb9912;
- fe9911abbe57f1ddd61acd062d59637b129a1571af65fb70169db0d8b12b498a66d1eefcf9c8cbea01179f113afef0ae192550828885689c
- e371e9a11f662e38caff28cf4cf5ca8cdfe4a8b99fa12a33765a22ae25506874fdcd85388ed406a955d293320e01957f119027ec4803c2a9
- 171b49441f9891d927d2f6436eee1dc59e7872730be496638017b42151cdf00e9abb212bafc47c05a4e185bf7cf21ccd97b0c8ea426e4381;
- 1c300df44d28406d070b10c1920e01ea8b9056d9e1d6f9704dbda3f6328c26a28e9e4aa07dc79e03c09c5639cf8b8c783c8b430b9d8c21a8
- c565b0357a1e8aff3b3a6164ff34c9598a1c15a1551224fb38d25dfa3b0627c9d992dbd215910236aeeed23f4efd99640054b6648946346c
- f7871e06efb6f737cb4e04f708827092e94e3c70faee57f70096b9d674d0ac5b228824924bb705de49de9f9c0e834462093a9a5551fc7d5d;
- 9014dd22854f1f21fa1475d74eba669101c871c2a21ffd5d10f0792e3cc5d34f15b4735759575dda169e2dd868a5ae64dbeaa2a654cfde5c
- c6f59ecf6add5ff92813cd6f37de9c6f8d3ae9cd33e4f3236ff43127f463f297c3067493868adf7823bc285a3d609a57d9b0b841a9b628a1
- cbebe67e30ed82acb0de699a5d874121257b78c2b0642583713b58fdcd089a6277a5c5e571538e4af9025dfc63cd78931be51780055dfb2f;
- c8fc23a431d744e45e8bcd2dd2ca612db40b26287970aa878a5cf6283c51b2bd4edb76f705f29bc3911a9aee8fb7272009520f3590ac4c4a
- c1015900ea58d6305b8b558c992bff50a8614843cd3d11274830dff6e1db405f8b268100fbc5e44c477cc2a9e83f825c7840e560fc2b2920
- 6ecf49d92efb60a15a9de38ff37d3b23b339d889ad8b11cb332df260b9c49fd28b287a559fa5a5edf732b3bd1014711fb7d088a37cf6ef72;
- daaea5c9549776d866be36a032027a65eb8325b1684d3c37cba068e69aad7d4f104ff47c14f669883cdef5dae9a0c7840379631ef97e6bc3
- f8dc00891a9c55481a224309a8024ea257850b2bc62ab10bb5ea5b836776cd46994900d6656b7f7e0d9092fd824b16d20ea14528a0de7729
- 83d3eb62429c2ece396cd7069dfa2985630da2fb0949b52f1df9231c82f32022543d4a2302241d0146b4db97f44ec5342b6444f463ad056f;
- 786f4ebb20161c96f93ffe3ee2b0cae50fc454d910b3fae4fbd8454b8ab7975c6cab8f6a1b593996b24b22603137a52ee732f9d19f9a6e43
- d78d3df4f455c8f5d98baaa17200d4c94056e21768c4ca783188bf15c28dc86c581fd9c150f923f905becba19361ca94f7434d8a74744669
- e857a2020e1877b50151772bcf06763285c1d8b2b5ffdb63e13ef4985ccc3b965fdb053305f16feea4a3ac0edad21423c80ef847181bdff7;
- 6b48bf18ec4557e745cad3e106511bd5a9bbe136c77cf639745f891f54bb16c11e19770eb5112df8bb6755b97cb1e23c9c7efe589693764e
- 95c2a38f889c451f792c3d5d8b3237eed3f99e2b4857bfc48f75d7c0de3f293d2cfa7f97d65d75e0e3df633d84931973ac542ce07ba974b1
- 2fdfb1146b569ac98b0811e600e2d8e578023024ed704f97c7f7d56a2b4a33ac6ec68d14f0789441a904d175fbf8b91603c532ecdffd27e4;
- 1fbba059c333843e3cf0cff19bec99bd0cfc89c3b390200165680b742fe540b32042959022e7393c9e13ef7fa3f1dd5ac46595803210c536
- c723bb3649b1d95647636abffd325e363931782f02002ad6d75d2082c980a7a2c5e1d51045880b36d4f62c16250faffcb2acb824d8d3d5d4
- 97041eef8892ecaaa97c4effb8c69160b3878fd302bc5f0862bfe4894bf23193738d8dd95c9eee9539e23fff67243372b97f02c3a3934555;
- 26f5bc0c2c49899690fa423478ab1cf7000be27609bf683896a6ce3f619510b061ca04debb6c64540e724d113cd4b8ff3485337851367700
- b8540188b9ca77a82899c7fd26412dcbd6a3c9b45be595f63bce7426d7c16eb20c3a2dc86afe9064edc19840f75f05de828c276e98451ee5
- d973580e88abb6c83defc009607082ffbdcae6ce9d577218580459711682f8708a15de9c62e3ca3b50e91a7bf5781deee152ac801a64fe81;
- 6c044d6556abb8efdf5b180695293464a8bc4b9cab201822053c7295973ea0a8866425629cfff1d372a48f51dbc6a7f828691194c32c2c5c
- da28b84dfd48f206972fe282449991597bc7f0734916b6f7a253897fca2ccd6b80aa477cfd08549b6d25bd18932128e59889e2dcfaf76157
- a599fabf997468487b9376500b58a51e0e00c86d9eac6f50157aa1017d99ac8b95e7842b36071a192784ef72433c06a1dd042990b71ffe8f;
- 50378c6ac56816962d428ea523a0cf87121fb3c53b37bac6d3a05fcbdfb8a5fb20aa014f1e1b01a3963534d403baeb7c436f72cf3cc5db58
- 78901fa015c6f0d3e1072aa87d865579fa405615691a3f27945f9b1431ee8bce8ac9965a1f9b0f42ff10bc77c43cc93566eee9a9b79866ed
- 00127644003ed4b518f04abbd058a46015fb328883b92070bc5cf0fd98d7307dfabbc65f3e8551c622792efabe55f03953e498e360410790;
- 5db2f6db35af2e1c84ab6832b967bf987cd03adea7113fb8806ce8fb3ffa426dc10997e13afcd39cf5cd65f65f8a09e650fad8e5f6ef2648
- b063695bc97a18d6ccb0785ee4588951dcbee420ce8e37b25cce325352968015c94f9bb784f3a2bfa34c6a1edf710b63f139fff6d4f7b2f3
- 999284a309482f67ab6460e73ad1ad267052b59fe50cd58a245e22079e2b50b119e312ff60a65037cf9faeaa259d22f689eaedd7924f1093;
- d5baefaae7fc9000e0d55f287f740dfb1899ba6e9e36338959a16ac5e5f45442a37086b5519a0b439f38b129328aebf468dec4b59c89a249
- 4febc8666dcf2b150faec9902a5f57e97275e7b122724c2b77d9b78655b455d424db93f859b8de6b09c4bad6d5ba68349c65c41caca67f8b
- 19e6ed86dc819e6b4368d196679328710f63bf1fcba6652265508b509ecd0e3e8b8bf17f8f1eeb361af107ef684a729a3635cb55de3f8605;
- 9974be322a0f471cfe0855456104219d8037ca1cb5aacb9ff5da86a047ce159430cfd92f67e764244996668ac44d8d9787dc1b5754d215c1
- 78c00f878fb41fdb0cd22c026881d5022fc470755e6261945b9bfcc3868f591f08288e4d64a65c9f3d0b05d3ab7f27d801aef29e5e98caf8
- fd51b84f21b06377054dc879b8a176a7799951d5669486b210e4528b9f52bd60f88c2a068f722d85fa12761a4caf2f05bcdeecb7ed62646e;
- f4048d4a1602eeec43cdf20c3ac9f7b359935bae3648070276faf07a5c58fdf79771ba6c077ddeae47617971e2145f4960587637e7028822
- 32635c7425108f5d19e35e4d91a4bdf3310bc884c9061d0697556ae25e17cd611e090c1179ca9a68225b283c8ab98a7b1e97508592c60c66
- 8d6a91d016aaa7a0da03b06f5876ce8e8a71d1e5e5eb430d6c5ae16e1d6d9b61e77179b4f6fe43ce37cae27689983d41923f3b30e9d9f930;
- 9023c019bf7ef6df45e0e44111903c622220bd3dde046679540302451d001e47a153b0ac7dcfb9831e2d262d8e27002197d9640900e4c1cc
- 1f5e2ca612ec6f14df4b528cc35001e763b9414a81381a1a3c7008c0cc525bdb00aea94ce2348f380dda43b5edf4fec7c8cf5ea2f5fec4b8
- bf2c241efc180988232b83cda91e12dd0aec0d22ab68353c9841c4ea0547fd1b377fbca125f8cf92c426f8eb859f85a3853516ec104d9b6e;
- bbdecfafa9284e3067081b7d1bd7ce0e488829859628a8f6a38bc1a3ca6ec3130dbc1345b69abb7224b047fd3f2dadcf9cc11a8ec46a6436
- 49a956ee69cdfecf29440d60fde9db1edd94619af97f625d45dc83c64994fe6c1ac858150cb526ca3c58a9fdc09d409ee3ed0b0cbcdb711c
- 7abfd47fdfcceb278c917afd059e335110bec63fea48dedf7f8275da8922201ea06be39e3d1bccea2d38f5eb7d7aa5ef4e6fe6792a9f0ce0;
- a9483d4f0c94eac273adc392c3f425be610206683cbb6806dca47be3b54ad142fa2c54a7a473675556bcc8cfd50649af3c58d7a91e84b428
- b986365aa08f088fe04aaaf2e00468af3fb41cda961b56ece5bedfd83cf9a0fb959ae70c23d9b27cd1eaf8b611d9e578aa0b9d899b81d5f1
- 4af529627637ad3f3f1269319f4fd426d31e276287ee525d0c64974e55fca1cd58694eadf47e44dc3e843e01c36b22f9717067a907840ca1;
-}
-
-sqr {
- ## Easy tests.
- 03 09;
- f7ffffdfffffff00000050000000000000a0ffffff03000090fffffffbffffafffffff00000020000000fdffff9ffffffff9ffff7fffffff
- 8c000040010000f3ffffff040000f4000040120000ff0000800a000099000060060000030000000a0000e7010000180000290200800b0000;
-
- ## Random tests.
- 776cf7ee39df23538f76e6be87ecbb1ed78477b858e3520f24b2b36f09a7dd61daf7bd5990af13c11b1419d8215eb69c30efc3917097797b
- 870001f8ff173e02ce682526a513ff99c6e9688cbec13839ecbf0fbc11d8f84f6cf53041b5bdcbc624f9787db9babe61cd477cb9395590d1;
- 1e5ef8dd68207b3c3d3c670acee7ecb277ee6bc10be9fa3f3d800e1414bf402298ca443de6fd57ca899188c884a93d4b9c9d1b00a7c9ce44
- 4a6d6da8002b6a0f3f5c3a9631254ccc62cf66c93279c4b77dda55d32514c8b388b543002f8055321c7195ce1fd26f51f48732e664cdc62f;
- e02eba6cd5ec1cc39ab92db439896520e50a5f9e9ed6d31ad37d00ebb2a54cb68f1c0ae537006ec2ffb14aaad2de16ff06194929b702b95a
- 95632fd74045a49782f6f9d0c86d554cf6efd07f9eef57d669828c77537d4c3a69138d755855640064f5e9bc8fbe0eca96fb04053f565431;
- bad2a1348fc0b54791f9f2875009c8be2d30f14526fbbc22c439c1ae2b865436cd74f428766e4e676b795fe9333312f6334d4e4ec2378e26
- d87a8f7ca45620b4646fad2c22792538bd16f37879dbc4d87c21cafa60c282f6415fde2fb6293a8b8a6e5b3901f88d75f9243023b68f41d3;
- d6d221f2bf71eba62e49db570e13ca69f4a8a33543298619cda7c8d2524c9446b11ae7b7d301579f047565b7044b5286c2478896800ad992
- fdb163312b884bc6d74c4c269011311388ead9c069884f48487f9ac0d62b39aa175e81976fb599716aaa68db4c02985a6f0ffe522b0fb21b;
- 20cc05120202e684981bce1db74af493d218ed8e0f5e76fad46bfeb98c69e504113b0eb91771c602cb422ae09846fbfef7c47afd09689277
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- 72c4c3e4fcfd36389f558e0d4016f3f088145be47b2de85ee7ab963fcd8c7adf449d5b7c37ad8a32cf97ea9bde5c220fc896cf1b91633e19
- 1e8f68736c3b259b661c0c1ec065a642e717f9e4d86003411b8e15ff89537d8e129c116d2f8a9e7e1b46879deedd66fa6ce2b60ab680cfb0;
- 8c524f059e7ebcf3af3072dbd2f76ebc530adba6d26240c8675b5451d5558db648e7a61fefb1369cf2939ba1fadcf8e40385db5d57cacace
- a19188e6821f5cc2c53b7e59ae6f70e95fb929c0f282627ccfa2c6d9cb59dc871e9dcf3e2a8d6d66b7a6907d4d36c9de03c3d74325d8c1f1;
- dd47eb6f4f68cd3a9abd6af401bd6f3c795d89474dd41a89025b24c8349a0de417c3676bb6ee36002d7c8ff6b4fb4491e693cfa617e079f8
- 871f46c93dea48a0d937b3f1f724f66615daa9200f0b48cee01c3b20e4a05dd6ce01bd7b2713e096cc2bd1c5ce7ca0c075aed0fc1ef6fa51;
- 577870fdb83454eed0711eb51d7bd91f9843769737566823e41d0668fad45c82fe069347769244af7230e6fbc40f5a71151279ae65e9893a
- efabd464218df4a490b9870d541c45e9b7ab29bae25d9e976539a553995ded0edc5610916883642a032eae4e96eb9e4e1443f747dec98135;
- 8ba84194db2aad7b46005423b1251555ea931b933e0083fee76b9863fb528927f27a4a0617b8d75de306103b592a0fbd51b72bfbb051ee2d
- 3a29e940174d846df65d51070295f535a03e988fc401ef62f5dd2456cf52668390e61e7b6912186d6d5260f6d6977004003bb106abbdaf02;
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- d794adb47cff3f7666dd0a934896015e59f278d9b1d6dc7a06328da96d6e6520670598129b7e1b26f9537216364199cf5c0010f23692ec90;
- a6b51625066e4cccb7d45dff5b182e2a6bf4b1cce7090a187d38dd39f08afad6f868c0277bf70d5fb88b6e67432526e4feb39ae707e34990
- 67315efb85e16a1e97130092cc351759d9c18261845329f63eba1e77d91ad2c7df51ffa50b655de81bc807ea2b3e137214a2b08b400f2b7a;
- 28a0fe53cf73a0419fdb4cb493c6425be8aa812c3693411816c90621097a9d5687feb16ebf874a30ec849297742b7aab5921427d7b474190
- 69300770a5bc2c9c599431e5f879ef3f3ec065e3a2cfe82e3499018add58acada581e9e81d40799fc74674b9721da018a64138519abdb108;
- fad58259395fd5bbcfca35b095253a3a121b62f1694e14cd9e2f85bd08e8a15d1dff98e3b81eeec678821a1ee9d6192c8351bde45ce0581f
- bee7e0d6d4de419981ba2aa3964adfc7545e21b72b65c774b2029c22e06f251cebf04cdffd23e2051b57f986cbf7e56f047050714a275e72;
- 91e548171a8136d2d26e6bea02cb16ec9591e9cd5b913184b22b43d1029bdb214ef737f6e45f473f7d95b8fde075645c3b0c2dd2bd224278
- abe2936ecf2ac3012455dcac906f691f2d96490539c9621658fd7f66790bbfe0d2df07165ea80e0c3282642d45b63b7db476b53e4f94f1c5;
- a52c855daa9ede16ea8de7c681436d5d31eda6ca5b441f972e5cf5639a1c56f689fcb411965271853de2893f22b81d7d0facafdb49292e39
- 382480e92d44199fe5f7c357ad2e5a7277beab1a3055d48e679516151ca85ee3cb498b172087d588738daac2ec1da9638552d76be97626ad;
- c65888cdc1a575fc9a06dce8800607f56fe88839948b7e4e2713aae44b0ae6b7c6b68786b11b430d22766e9e4d76af118a972729c67c06b7
- 31311e4ff9600089b533cdac6c05de3ddfe6a450ee7fc90cde1bb297e2deb750336ac3ed2f6fa9b88ece846be6f6aeb392f6753eb6fa475e;
- a61c81d621df61ece4b7274f63ae4e9f2e2df1d603fc9303ee361962b2d70bd783ff1b5d8f3ed27f17e7773b2b1c85af7fbd70387bdef5d3
- a014ef20adc291c0238be3759ceb9f9645524b961761c8a991ce67efbddda568359fe36e762980d75a58a7ba10b803c9f883fe4d2239a08b;
- 96ced952366c324c5fccd48ac5d475cc1944e7e455dc093f0d9680d6d6abf1e45c76a286ac46acb4de061b9eb673a2d3124e6c3b921ad71f
- 6debaeff6a7d2bb2c1389cb3338fc87b2a32e651ecb8d43fc012efc9b9c59c79487b742f0b30d0b64ac283af0d3b877102c6a7ff0f606eb9;
-}
-
-inv {
- d665678f17043846f953fb09c88295d7fd0a53bc70ec7d396aff56e7dfa376f3a338f0da0af9e07b66d3ff7443e3829b541bd667201999d4
- 6839ab730bf666c6ca987d254d83bf32b981b466c147f04b823981da75e12c9ded469a0a462861a987c13f05739f47596401fec25a5eee5c;
- bb8d567f6163a92603a388405121bd58abfcf05c596bf0624bf65b6a8fe03e6940648382fe01e5ab58e37ce235f4acbfb9e02624001c49da
- 3f60d0fa0036da2db915e232bd841d09f006d4ba018c1d268af86d36990579d669ee63393b95c202645dcb1225fe9e64d14270905e63eb79;
- d456692d8e00bf9cd86d22a9f4ad9e9879e6298274854ae82729ebbdb0cc46877caeb381506dbb097b10c180d615661189da65d431e3003b
- 6e0f5a173fb60be882a2b570200515dc7ad473e2192470ba89e6dda6cfdd6ff77026a1d76acdded7b5881a54d68605140a4ffceae70906d5;
- 359ab073b7465de1358a5772aef79db09118541c062421cb30a972525a351f16b5545daed5f9ce8e91a283818df6cdbf443831fbe5f3e848
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- cafa18317193054cff7884bada249422ba889c19693d66610fb774fb4bdfeac0e67a5ba6f84ace126c125c46b4cfd627ee777e231a6ffc1f;
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- 28c43a594b6471412f504dc10fd79d2c04ec029a7723cfa0a90aef036991f1b56cf156e2cbc7533671086edb54036e9f4ddc9bfe2e3ffcda;
- 9c01d006213bcfda413517ec815e8cebc06707f5649398a9d14a5d64754375c1ded8aaefd838e8eba84746de07a0f9b32caa2325c4c8e540
- 0a3b64374ac2149d602a9f0ee4fcf6d814c476f451531a086b04b0dd598287b1758f77780b7de08573326a9767e816309d871fb1962bb1a4;
- 7bbd8a2de4bd2ffee4e93d0dd2fa9c5d4abcf9ab86c097921fe7d603b7ffdd07006c7d79d1a10267edce9b3069b134bed727c8f0ed1aca13
- c909ffafbcc09a96723b9afba8ec0d00d5ce0c9d85de3c1e4de24cf44fb934bd0d2397b380885b7419cbbeac339fc85e2161f08c2f3515d7;
- 6a64650ccf103604c3b030415f7114c88c7094fbd0fd2f2b6b907a27fe104ef4e0684c17ff9f26f15eee5e7442e679ecad3e49a0629cb5c3
- 9db77e47433997640b4c0916c5123e8a4d9c7c0bcd12b2dafccbababd6c9dbc3f4ec7991ea68b3ad4ffc6f0be4920764c65d98bdeba8a811;
- c3823c71f6c0f3679cb9c776e437e718f856c8fde038418942d062423113352aeb60ab84138f2bf73f268386cab0f2a1419660e966c24187
- 558bff4fffa85d6f67ad44938f5b4473d250a87a120af9ff645a7db37a43808abe30c19c90bac94adb190840078214518e189d6c9fc5bef2;
- 44bd920b0eaf47695f93d063cd85c43c58470c23796f4a106b298d5f2b091210d103e9575c369bb0be66b2323d89cc29602a8071697931c6
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- 552158406db36accc32edde2f0ce46e23a1d406f60e54ca6a789386df36a57434c826c9586c4b371df3179f675e5956fe7dc3022f785d9e0
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- 21785aae5f73da711f6144894728627824b685fac3d95068a9d0c4e0ee058301a8953322a5ee5be75452164a55477f1a987103a718bf98ca;
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- 0c909e0326649d4d375452c5b233a86e90b0fa88b20aa54e02685edd02b70aa022ed8af31e994b70b20101a5cfd8e16ba53c702840b4a16b
- 98c41073ea843b4b5ad6b0589699f48a1576e3d834f8e595b8859069b71bf5e16126aa93b20259ff0a03976ff6d7f78239ec1059f8cf1193;
- 4529761361781e67037eae69c5ca9977b1e21468834eb83cd369471e5092249015cd263563bff9348a0f51e4a8517e27236ed1ecfe30a780
- e20d5896be18bb273bb0ba84f6c070de45378bac6d793685e654764e5aa847d48403a68560b48dcb12573ac737366ae701072300615b4659;
- 6fae83f7eadeaca22b6781f400b01f9de186b12e31fdf56e0ebe98a8420baacf5069ffdf26d0215c16b64027dd69ff29709a64cfe8f52dcb
- daa266a02c4500d989670eb63ab78219892d9c1ca2e17f4b5200cf1d920cfece5e80050be77f81a616de840bf19c23835ed17d57aeeea0f5;
- 23ca16e8b4c15f8f2b216441d851368d185a7f8587f398b0cf775875678241094538708da0cb2260c5e056b59c003c30c8f84f5088d0c99c
- 9de1360b4718fc762e6ffab46827c5e4672a77d797aa608b31c132d1ad8138e7a64ba1f4278a07a6088f8cec9a01ea9bc1427c55241433c5;
-}
-
-sub-mulc-add-sub-mul {
- 07ebfe324f64b54e938951a1e437bab4d35c2bbf5f210c5d78ca2b4eb7ef9c3dab61724be4fa7c2e43086b58db7e961f62a44b029f9901d5
- d44920bba642b8162d1c3e956e060bbe6f15484298c2ec55575ee378556b0e8826f627bebda963b7d4d9f1c768a49cd408957105d3c6008a -41997
- e3647583d41ee4e813045d4f7a8b53af084c1dfeab8db93472810e8c54d253a2c100a6fc341bd92223341150d363f00f1c2bbb9ff9f8e7ca
- d61c770618adfc42ef3ac4272dfae86a674f8ae4c273d26ad7b9a29943c4740e0c9535812b9ef0d17fb4bfcc77bf60646aa96a11c29035a3
- 76c496c2c798e23c657eb80c44940229ba88f21bcacb21cb6b4cdc8b93d10832f3c4d31819fbeacb6c5a516c7889f0e639abc29ec4d7b604
- 5a94d8487539381061d764a3806e31e1b2add772d2f9cb9c4fb96336f7b36534a9a0f7caf30b7e086c875670a0d568f895502983b1dec2ef;
- e1792f9e9c7b70293e041a9059df95bcac07b4112f25d35375ade1794660a0a10c520adf06fd477c79a170ab88108e4b74bc47ede8ddc0a4
- 6cffa5fd3f07f203fcf08c399690b793a152e65aa99c6f9b465d39861c3c46691b635cd02c9e77083ecdee73a54aa1aab5ce6044cb2cb8d8 23228
- 31cd1c1937619b8fe711d22912104fd03fcfa3f14f81f3bc7ec9839c5440836d7c9b92158c818933aa614f9a085f9a1c18d71dd11d09a6db
- 2386136ccd81814300b5f3fa148c4025e6d7a2d9da344e56b42811deaa3d4ecbd5365f91d941d7bab20b305ac6dd0457a4b81cc611bb5f11
- 16bf2b1e10c77597990088a8df91150a6e7b6c3008e6584909b2f7184358abf6b59674e210aeec3219a5202440139aecde4a4b6e0f46dbaa
- dd373d5908b408e51e3c6f8da1c439f845d40467057a34a96cd53680661b329f073d0bfe6af98543d5d38c3d0476c19d20c54226e7bf8d7c;
- fe6d00268bafd5878e0a4ddebad8dff25399a1d18e69f94b471029058e9712b98263d88b4dea5d08d8fe70b3a62ba2d136c2c2713ca809ea
- 12be184341bbd7ab5a668f3c3e4b13a60c70cd4e1f229f90901be24a285f3ff0b7391aee82529076c14232f61a11b6a8edffd56af603a25b -252008
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- e4ef0519fc7af554a4a348cfcea95c6c18752f4a35a946b7d2ad1e6aa77d64ec4012eea4faead2d91c66b0d57198b19317a79e136a98caf9
- 008c72ff456f0f941781020ce6387d8065772af7c68955668a7cb05b53f00960f15fc463029a2e2a353a2fd3bc43790a847ea35c75d6cd26 287411
- 5ee722a21955b3bec9ed5f151686af9da9d3f5e6491e3d9a8d82237b1e3dddb58b827264ab5a1aca3eb8c1de7922b59744567e0467a4357f
- 9381ebf793f7b3f523f4621e934217ba463f96279ce2e7d165fc00ea037b20254948132dd2f0481ad9816e1f66da64d081e4d24866094af9
- 62e4648d4716c6e0f99357c8c099c4988cfec4fa21873b7928350f174679f59629a54d78bc8d239800709a585d4890fb2b634f68ec13cd78
- 850e54cf9388bdaf3de63c3e73823c0f39f0b9bf15a9f0262f24c828d2fc8cd7d1ac939193804fac3d92467e26ba5e57d1dc4f8664a270af;
- 5f3811d6b8277fd93a197bf4f3dec4bf4dd5fc6a0ac92ee3d0e64ae48fa9e1373cfd63da945db924bbac41a2b78f6819ccdf2820b1a3c4ff
- ee669edf4430678ff1190be8e39c06dd00cd9982ab5b625e5a6814ec456f68f9467f1f38519f4bcb392772479ba553060391752ab4fc70aa -254559
- 3d11820f867d39b2b1169030c24a9307eb387f44ee0fc8d53a946e56065e8cf9af6069c9c8099de1565f3d491c33248965ebf941987ade48
- 9582a93732bb52eba39d81c161dd0a996b50dadb13b4eb54085ecb9e86117ed25cb7c78d1a5cc3807a97d740710c2fbf65f97e8de3591163
- 501c2ca79204d22e6c52d32d405310853e7e29da884c0f14782e9029929751821f81a9493c8dd76e582bb48465ce5b40d7c5e398322ceada
- dcdc428d085f7548c99d963af7b8af997c1503307d75e298efbfc042d425d385a6b7321d86d5af13809ed3ec6bc5d96afcd026d08caeaa30;
- d17c198598d3b5188e5807c445976b769d458ca952a7b99da4b19ffa3b35b6100bd3605136143912640e402a7cb91675e61527244844409b
- 9cac226e58f5ffbc41bb82b769ed12d061eef4d2d0369eb12724bcd4db6a1ff85f22d6b25003cbea0308a1b7dcce1450283d4e96ac8d4b8c 516083
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-}
+/*
+ * fgoldi.c: arithmetic modulo 2^448 - 2^224 - 1
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the 16/32-bit implementation, since C99 always has 64-bit
+ * arithmetic.
+ *
+ * * Remove the test rig code: a replacement is in a separate source file.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* Arithmetic in the Goldilocks field GF(2^448 - 2^224 - 1)
/*----- Header files ------------------------------------------------------*/
-#include "config.h"
-
#include "fgoldi.h"
/*----- Basic setup -------------------------------------------------------*
* (hence the name).
*/
-#if FGOLDI_IMPL == 28
/* We represent an element of GF(p) as 16 28-bit signed integer pieces x_i:
* x = SUM_{0<=i<16} x_i 2^(28i).
*/
#define M27 0x07ffffffu
#define M32 0xffffffffu
-#elif FGOLDI_IMPL == 12
-/* We represent an element of GF(p) as 40 signed integer pieces x_i: x =
- * SUM_{0<=i<40} x_i 2^ceil(224i/20). Pieces i with i == 0 (mod 5) are 12
- * bits wide; the others are 11 bits wide, so they form eight groups of 56
- * bits.
- */
-
-typedef int16 piece; typedef int32 dblpiece;
-typedef uint16 upiece; typedef uint32 udblpiece;
-#define PIECEWD(i) ((i)%5 ? 11 : 12)
-#define NPIECE 40
-#define P p12
-
-#define B12 0x1000u
-#define B11 0x0800u
-#define B10 0x0400u
-#define M12 0xfffu
-#define M11 0x7ffu
-#define M10 0x3ffu
-#define M8 0xffu
-
-#endif
-
/*----- Debugging machinery -----------------------------------------------*/
-#if defined(FGOLDI_DEBUG) || defined(TEST_RIG)
+#if defined(FGOLDI_DEBUG)
#include <stdio.h>
void fgoldi_load(fgoldi *z, const octet xv[56])
{
-#if FGOLDI_IMPL == 28
-
unsigned i;
uint32 xw[14];
piece b, c;
for (i = NPIECE - 1; i--; )
{ b = z->P[i]&B27; z->P[i] -= b << 1; z->P[i + 1] += b >> 27; }
z->P[0] += c; z->P[8] += c;
-
-#elif FGOLDI_IMPL == 12
-
- unsigned i, j, n, w, b;
- uint32 a;
- int c;
-
- /* First, convert the bytes into nonnegative pieces. */
- for (i = j = a = n = 0, w = PIECEWD(0); i < 56; i++) {
- a |= (uint32)xv[i] << n; n += 8;
- if (n >= w) {
- z->P[j++] = a&MASK(w);
- a >>= w; n -= w; w = PIECEWD(j);
- }
- }
-
- /* Convert the nonnegative pieces into a balanced signed representation, so
- * each piece ends up in the interval |z_i| <= 2^11 + 1.
- */
- b = z->P[39]&B10; z->P[39] -= b << 1; c = b >> 10;
- for (i = NPIECE - 1; i--; ) {
- w = PIECEWD(i) - 1;
- b = z->P[i]&BIT(w);
- z->P[i] -= b << 1;
- z->P[i + 1] += b >> w;
- }
- z->P[0] += c; z->P[20] += c;
-
-#endif
}
/* --- @fgoldi_store@ --- *
void fgoldi_store(octet zv[56], const fgoldi *x)
{
-#if FGOLDI_IMPL == 28
-
piece y[NPIECE], yy[NPIECE], c, d;
uint32 u, v;
mask32 m;
STORE32_L(zv + 4*i, u);
STORE32_L(zv + 4*i + 28, v);
}
-
-#elif FGOLDI_IMPL == 12
-
- piece y[NPIECE], yy[NPIECE], c, d;
- uint32 a;
- mask32 m, mm;
- unsigned i, j, n, w;
-
- for (i = 0; i < NPIECE; i++) y[i] = x->P[i];
-
- /* First, propagate the carries. By the end of this, we'll have all of the
- * the pieces canonically sized and positive, and maybe there'll be
- * (signed) carry out. The carry c is in { -1, 0, +1 }, and the remaining
- * value will be in the half-open interval [0, φ^2). The whole represented
- * value is then y + φ^2 c.
- *
- * Assume that we start out with |y_i| <= 2^14. We start off by cutting
- * off and reducing the carry c_39 from the topmost piece, y_39. This
- * leaves 0 <= y_39 < 2^11; and we'll have |c_39| <= 16. We'll add this
- * onto y_0 and y_20, and propagate the carries. It's very clear that
- * we'll end up with |y + (φ + 1) c_39 - φ^2/2| << φ^2.
- *
- * Here, the y_i are signed, so we must be cautious about bithacking them.
- */
- c = ASR(piece, y[39], 11); y[39] = (piece)y[39]&M11; y[20] += c;
- for (i = 0; i < NPIECE; i++) {
- w = PIECEWD(i); m = (1 << w) - 1;
- y[i] += c; c = ASR(piece, y[i], w); y[i] = (upiece)y[i]&m;
- }
-
- /* Now we have a slightly fiddly job to do. If c = +1, or if c = 0 and
- * y >= p, then we should subtract p from the whole value; if c = -1 then
- * we should add p; and otherwise we should do nothing.
- *
- * But conditional behaviour is bad, m'kay. So here's what we do instead.
- *
- * The first job is to sort out what we wanted to do. If c = -1 then we
- * want to (a) invert the constant addend and (b) feed in a carry-in;
- * otherwise, we don't.
- */
- mm = SIGN(c);
- d = m&1;
-
- /* Now do the addition/subtraction. Remember that all of the y_i are
- * nonnegative, so shifting and masking are safe and easy.
- */
- d += y[ 0] + (1 ^ (mm&M12)); yy[ 0] = d&M12; d >>= 12;
- for (i = 1; i < 20; i++) {
- w = PIECEWD(i); m = MASK(w);
- d += y[ i] + (mm&m); yy[ i] = d&m; d >>= w;
- }
- d += y[20] + (1 ^ (mm&M12)); yy[20] = d&M12; d >>= 12;
- for (i = 21; i < 40; i++) {
- w = PIECEWD(i); m = MASK(w);
- d += y[ i] + (mm&m); yy[ i] = d&m; d >>= w;
- }
-
- /* The final carry-out is in d; since we only did addition, and the y_i are
- * nonnegative, then d is in { 0, 1 }. We want to keep y', rather than y,
- * if (a) c /= 0 (in which case we know that the old value was
- * unsatisfactory), or (b) if d = 1 (in which case, if c = 0, we know that
- * the subtraction didn't cause a borrow, so we must be in the case where
- * p <= y < φ^2.
- */
- m = NONZEROP(c) | ~NONZEROP(d - 1);
- for (i = 0; i < NPIECE; i++) y[i] = (yy[i]&m) | (y[i]&~m);
-
- /* Convert that back into octets. */
- for (i = j = a = n = 0; i < NPIECE; i++) {
- a |= (uint32)y[i] << n; n += PIECEWD(i);
- while (n >= 8) { zv[j++] = a&M8; a >>= 8; n -= 8; }
- }
-
-#endif
}
/* --- @fgoldi_set@ --- *
/*----- Multiplication ----------------------------------------------------*/
-#if FGOLDI_IMPL == 28
-
/* Let B = 2^63 - 1 be the largest value such that +B and -B can be
* represented in a double-precision piece. On entry, it must be the case
* that |X_i| <= M <= B - 2^27 for some M. If this is the case, then, on
(z)[8] += _c; \
} while (0)
-#elif FGOLDI_IMPL == 12
-
-static void carry_reduce(dblpiece x[NPIECE])
-{
- /* Initial bounds: we assume |x_i| < 2^31 - 2^27. */
-
- unsigned i, j;
- dblpiece c;
-
- /* The result is nearly canonical, because we do sequential carry
- * propagation, because smaller processors are more likely to prefer the
- * smaller working set than the instruction-level parallelism.
- *
- * Start at x_37; truncate it to 10 bits, and propagate the carry to x_38.
- * Truncate x_38 to 10 bits, and add the carry onto x_39. Truncate x_39 to
- * 10 bits, and add the carry onto x_0 and x_20. And so on.
- *
- * Once we reach x_37 for the second time, we start with |x_37| <= 2^10.
- * The carry into x_37 is at most 2^21; so the carry out into x_38 has
- * magnitude at most 2^10. In turn, |x_38| <= 2^10 before the carry, so is
- * now no more than 2^11 in magnitude, and the carry out into x_39 is at
- * most 1. This leaves |x_39| <= 2^10 + 1 after carry propagation.
- *
- * Be careful with the bit hacking because the quantities involved are
- * signed.
- */
-
- /* For each piece, we bias it so that floor division (as done by an
- * arithmetic right shift) and modulus (as done by bitwise-AND) does the
- * right thing.
- */
-#define CARRY(i, wd, b, m) do { \
- x[i] += (b); \
- c = ASR(dblpiece, x[i], (wd)); \
- x[i] = (dblpiece)((udblpiece)x[i]&(m)) - (b); \
-} while (0)
-
- { CARRY(37, 11, B10, M11); }
- { x[38] += c; CARRY(38, 11, B10, M11); }
- { x[39] += c; CARRY(39, 11, B10, M11); }
- x[20] += c;
- for (i = 0; i < 35; ) {
- { x[i] += c; CARRY( i, 12, B11, M12); i++; }
- for (j = i + 4; i < j; ) { x[i] += c; CARRY( i, 11, B10, M11); i++; }
- }
- { x[i] += c; CARRY( i, 12, B11, M12); i++; }
- while (i < 39) { x[i] += c; CARRY( i, 11, B10, M11); i++; }
- x[39] += c;
-}
-
-#endif
-
/* --- @fgoldi_mulconst@ --- *
*
* Arguments: @fgoldi *z@ = where to put the result (may alias @x@)
dblpiece zz[NPIECE], aa = a;
for (i = 0; i < NPIECE; i++) zz[i] = aa*x->P[i];
-#if FGOLDI_IMPL == 28
CARRY_REDUCE(z->P, zz);
-#elif FGOLDI_IMPL == 12
- carry_reduce(zz);
- for (i = 0; i < NPIECE; i++) z->P[i] = zz[i];
-#endif
}
/* --- @fgoldi_mul@ --- *
*c = y->P + NPIECE/2, *d = y->P;
unsigned i, j;
-#if FGOLDI_IMPL == 28
-
# define M(x,i, y,j) ((dblpiece)(x)[i]*(y)[j])
-#elif FGOLDI_IMPL == 12
-
- static const unsigned short off[39] = {
- 0, 12, 23, 34, 45, 56, 68, 79, 90, 101,
- 112, 124, 135, 146, 157, 168, 180, 191, 202, 213,
- 224, 236, 247, 258, 269, 280, 292, 303, 314, 325,
- 336, 348, 359, 370, 381, 392, 404, 415, 426
- };
-
-#define M(x,i, y,j) \
- (((dblpiece)(x)[i]*(y)[j]) << (off[i] + off[j] - off[(i) + (j)]))
-
-#endif
-
/* Behold the magic.
*
* Write x = a φ + b, and y = c φ + d. Then x y = a c φ^2 +
#undef M
-#if FGOLDI_IMPL == 28
/* That wraps it up for the multiplication. Let's figure out some bounds.
* Fortunately, Karatsuba is a polynomial identity, so all of the pieces
* end up the way they'd be if we'd done the thing the easy way, which
*/
for (i = 0; i < 2; i++) CARRY_REDUCE(zz, zz);
for (i = 0; i < NPIECE; i++) z->P[i] = zz[i];
-#elif FGOLDI_IMPL == 12
- carry_reduce(zz);
- for (i = 0; i < NPIECE; i++) z->P[i] = zz[i];
-#endif
}
/* --- @fgoldi_sqr@ --- *
void fgoldi_sqr(fgoldi *z, const fgoldi *x)
{
-#if FGOLDI_IMPL == 28
-
dblpiece zz[NPIECE], u[NPIECE];
piece ab[NPIECE];
const piece *a = x->P + NPIECE/2, *b = x->P;
for (i = 0; i < 2; i++) CARRY_REDUCE(zz, zz);
for (i = 0; i < NPIECE; i++) z->P[i] = zz[i];
-#elif FGOLDI_IMPL == 12
- fgoldi_mul(z, x, x);
-#endif
}
/*----- More advanced operations ------------------------------------------*/
#undef SQRN
}
-/*----- Test rig ----------------------------------------------------------*/
-
-#ifdef TEST_RIG
-
-#include <mLib/report.h>
-#include <mLib/str.h>
-#include <mLib/testrig.h>
-
-static void fixdstr(dstr *d)
-{
- if (d->len > 56)
- die(1, "invalid length for fgoldi");
- else if (d->len < 56) {
- dstr_ensure(d, 56);
- memset(d->buf + d->len, 0, 56 - d->len);
- d->len = 56;
- }
-}
-
-static void cvt_fgoldi(const char *buf, dstr *d)
-{
- dstr dd = DSTR_INIT;
-
- type_hex.cvt(buf, &dd); fixdstr(&dd);
- dstr_ensure(d, sizeof(fgoldi)); d->len = sizeof(fgoldi);
- fgoldi_load((fgoldi *)d->buf, (const octet *)dd.buf);
- dstr_destroy(&dd);
-}
-
-static void dump_fgoldi(dstr *d, FILE *fp)
- { fdump(stderr, "???", (const piece *)d->buf); }
-
-static void cvt_fgoldi_ref(const char *buf, dstr *d)
- { type_hex.cvt(buf, d); fixdstr(d); }
-
-static void dump_fgoldi_ref(dstr *d, FILE *fp)
-{
- fgoldi x;
-
- fgoldi_load(&x, (const octet *)d->buf);
- fdump(stderr, "???", x.P);
-}
-
-static int eq(const fgoldi *x, dstr *d)
- { octet b[56]; fgoldi_store(b, x); return (memcmp(b, d->buf, 56) == 0); }
-
-static const test_type
- type_fgoldi = { cvt_fgoldi, dump_fgoldi },
- type_fgoldi_ref = { cvt_fgoldi_ref, dump_fgoldi_ref };
-
-#define TEST_UNOP(op) \
- static int vrf_##op(dstr dv[]) \
- { \
- fgoldi *x = (fgoldi *)dv[0].buf; \
- fgoldi z, zz; \
- int ok = 1; \
- \
- fgoldi_##op(&z, x); \
- if (!eq(&z, &dv[1])) { \
- ok = 0; \
- fprintf(stderr, "failed!\n"); \
- fdump(stderr, "x", x->P); \
- fdump(stderr, "calc", z.P); \
- fgoldi_load(&zz, (const octet *)dv[1].buf); \
- fdump(stderr, "z", zz.P); \
- } \
- \
- return (ok); \
- }
-
-TEST_UNOP(sqr)
-TEST_UNOP(inv)
-
-#define TEST_BINOP(op) \
- static int vrf_##op(dstr dv[]) \
- { \
- fgoldi *x = (fgoldi *)dv[0].buf, *y = (fgoldi *)dv[1].buf; \
- fgoldi z, zz; \
- int ok = 1; \
- \
- fgoldi_##op(&z, x, y); \
- if (!eq(&z, &dv[2])) { \
- ok = 0; \
- fprintf(stderr, "failed!\n"); \
- fdump(stderr, "x", x->P); \
- fdump(stderr, "y", y->P); \
- fdump(stderr, "calc", z.P); \
- fgoldi_load(&zz, (const octet *)dv[2].buf); \
- fdump(stderr, "z", zz.P); \
- } \
- \
- return (ok); \
- }
-
-TEST_BINOP(add)
-TEST_BINOP(sub)
-TEST_BINOP(mul)
-
-static int vrf_mulc(dstr dv[])
-{
- fgoldi *x = (fgoldi *)dv[0].buf;
- long a = *(const long *)dv[1].buf;
- fgoldi z, zz;
- int ok = 1;
-
- fgoldi_mulconst(&z, x, a);
- if (!eq(&z, &dv[2])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fprintf(stderr, "a = %ld\n", a);
- fdump(stderr, "calc", z.P);
- fgoldi_load(&zz, (const octet *)dv[2].buf);
- fdump(stderr, "z", zz.P);
- }
-
- return (ok);
-}
-
-static int vrf_condswap(dstr dv[])
-{
- fgoldi *x = (fgoldi *)dv[0].buf, *y = (fgoldi *)dv[1].buf;
- fgoldi xx = *x, yy = *y;
- uint32 m = *(uint32 *)dv[2].buf;
- int ok = 1;
-
- fgoldi_condswap(&xx, &yy, m);
- if (!eq(&xx, &dv[3]) || !eq(&yy, &dv[4])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- fprintf(stderr, "m = 0x%08lx\n", (unsigned long)m);
- fdump(stderr, "calc xx", xx.P);
- fdump(stderr, "calc yy", yy.P);
- fgoldi_load(&xx, (const octet *)dv[3].buf);
- fgoldi_load(&yy, (const octet *)dv[4].buf);
- fdump(stderr, "want xx", xx.P);
- fdump(stderr, "want yy", yy.P);
- }
-
- return (ok);
-}
-
-static int vrf_sub_mulc_add_sub_mul(dstr dv[])
-{
- fgoldi *u = (fgoldi *)dv[0].buf, *v = (fgoldi *)dv[1].buf,
- *w = (fgoldi *)dv[3].buf, *x = (fgoldi *)dv[4].buf,
- *y = (fgoldi *)dv[5].buf;
- long a = *(const long *)dv[2].buf;
- fgoldi umv, aumv, wpaumv, xmy, z, zz;
- int ok = 1;
-
- fgoldi_sub(&umv, u, v);
- fgoldi_mulconst(&aumv, &umv, a);
- fgoldi_add(&wpaumv, w, &aumv);
- fgoldi_sub(&xmy, x, y);
- fgoldi_mul(&z, &wpaumv, &xmy);
-
- if (!eq(&z, &dv[6])) {
- ok = 0;
- fprintf(stderr, "failed!\n");
- fdump(stderr, "u", u->P);
- fdump(stderr, "v", v->P);
- fdump(stderr, "u - v", umv.P);
- fprintf(stderr, "a = %ld\n", a);
- fdump(stderr, "a (u - v)", aumv.P);
- fdump(stderr, "w + a (u - v)", wpaumv.P);
- fdump(stderr, "x", x->P);
- fdump(stderr, "y", y->P);
- fdump(stderr, "x - y", xmy.P);
- fdump(stderr, "(x - y) (w + a (u - v))", z.P);
- fgoldi_load(&zz, (const octet *)dv[6].buf); fdump(stderr, "z", zz.P);
- }
-
- return (ok);
-}
-
-static test_chunk tests[] = {
- { "add", vrf_add, { &type_fgoldi, &type_fgoldi, &type_fgoldi_ref } },
- { "sub", vrf_sub, { &type_fgoldi, &type_fgoldi, &type_fgoldi_ref } },
- { "mul", vrf_mul, { &type_fgoldi, &type_fgoldi, &type_fgoldi_ref } },
- { "mulconst", vrf_mulc, { &type_fgoldi, &type_long, &type_fgoldi_ref } },
- { "condswap", vrf_condswap,
- { &type_fgoldi, &type_fgoldi, &type_uint32,
- &type_fgoldi_ref, &type_fgoldi_ref } },
- { "sqr", vrf_sqr, { &type_fgoldi, &type_fgoldi_ref } },
- { "inv", vrf_inv, { &type_fgoldi, &type_fgoldi_ref } },
- { "sub-mulc-add-sub-mul", vrf_sub_mulc_add_sub_mul,
- { &type_fgoldi, &type_fgoldi, &type_long, &type_fgoldi,
- &type_fgoldi, &type_fgoldi, &type_fgoldi_ref } },
- { 0, 0, { 0 } }
-};
-
-int main(int argc, char *argv[])
-{
- test_run(argc, argv, tests, SRCDIR "/t/fgoldi");
- return (0);
-}
-
-#endif
-
/*----- That's all, folks -------------------------------------------------*/
+/*
+ * fgoldi.h: arithmetic modulo 2^448 - 2^224 - 1
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and lightly modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the 16/32-bit implementation, since C99 always has 64-bit
+ * arithmetic.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* Arithmetic in the Goldilocks field GF(2^448 - 2^224 - 1)
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
+#include "fake-mLib-bits.h"
#ifndef CATACOMB_QFARITH_H
# include "qfarith.h"
typedef union {
int32 p28[16];
- int16 p12[40];
} fgoldi;
#if !defined(FGOLDI_IMPL) && defined(HAVE_INT64)
+/*
+ * montladder.h: Montgomery's ladder
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb (2017-04-30). The file's original comment headers
+ * are preserved below.
+ */
/* -*-c-*-
*
* Definitions for Montgomery's ladder
+/*
+ * qfarith.h: utilities for quick field arithmetic
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Use C99 signed integer types instead of our own local probing.
+ *
+ * * Remove the support for non-two's-complement targets.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* Utilities for quick field arithmetic
/*----- Header files ------------------------------------------------------*/
#include <limits.h>
+#include <stdint.h>
-#include <mLib/bits.h>
+#include "fake-mLib-bits.h"
/*----- Signed integer types ----------------------------------------------*/
-/* See if we can find a suitable 64-bit or wider type. Don't bother if we
- * don't have a corresponding unsigned type, because we really need both.
- */
-#ifdef HAVE_UINT64
-# if INT_MAX >> 31 == 0xffffffff
-# define HAVE_INT64
- typedef int int64;
-# elif LONG_MAX >> 31 == 0xffffffff
-# define HAVE_INT64
- typedef long int64;
-# elif defined(LLONG_MAX)
-# define HAVE_INT64
- MLIB_BITS_EXTENSION typedef long long int64;
-# endif
-#endif
-
-/* Choose suitable 32- and 16-bit types. */
-#if INT_MAX >= 0x7fffffff
- typedef int int32;
-#else
- typedef long int32;
-#endif
-
-typedef short int16;
+typedef int_fast32_t int32;
+typedef int_fast64_t int64;
+#define HAVE_INT64 1
/*----- General bit-hacking utilities -------------------------------------*/
# define CONDSWAP(x, y, m) \
do { mask32 t_ = ((x) ^ (y))&(m); (x) ^= t_; (y) ^= t_; } while (0)
#else
-
- /* We don't have two's complement arithmetic. We can't use bithacking at
- * all: if we try to hack on the bits of signed numbers we'll come unstuck
- * when we hit the other representation of zero; and if we switch to
- * unsigned arithmetic then we'll have overflow when we try to convert a
- * negative number back. So fall back to simple arithmetic.
- */
- typedef uint32 mask32;
-
- /* Convert an unsigned mask M into a `mask32'. Our masks are unsigned, so
- * this does nothing.
- */
-# define FIX_MASK32(m) ((mask32)(m))
-
- /* If Z is zero and M has its low 32 bits set, then copy (at least) the low
- * 32 bits of X to Z; if M is zero, do nothing. Otherwise, scramble Z
- * unhelpfully.
- */
-# define CONDPICK(z, x, m) \
- do { (z) += (x)*(int)((unsigned)(m)&1u); } while (0)
-
- /* If M has its low 32 bits set, then return (at least) the low 32 bits of
- * X in Z; if M is zero, then return (at least) the low 32 bits of Y in Z.
- * Otherwise, return an unhelful result.
- */
-# define PICK2(x, y, m) \
- ((x)*(int)((unsigned)(m)&1u) + (y)*(int)(1 - ((unsigned)(m)&1u)))
-
- /* If M has its low 32 bits set then swap (at least) the low 32 bits of X
- * and Y; if M is zero, then do nothing. Otherwise, scramble X and Y
- * unhelpfully.
- */
-# define CONDSWAP(x, y, m) do { \
- int32 x_ = PICK2((y), (x), (m)), y_ = PICK2((x), (y), (m)); \
- (x) = x_; (y) = y_; \
- } while (0)
+# error "Targets without two's complement arithmetic aren't supported"
#endif
/* Return zero if bit 31 of X is clear, or a mask with (at least) the low 32
-### Tests for X25519.
-
-x25519 {
- ## These are from Daniel J. Bernstein, `Cryptography in NaCl', 2009-03-10,
- ## https://cr.yp.to/highspeed/naclcrypto-20090310.pdf
-
- ## Make Alice's public key.
- 77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a
- 0900000000000000000000000000000000000000000000000000000000000000
- 8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a;
-
- ## Make Bob's public key.
- 5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb
- 0900000000000000000000000000000000000000000000000000000000000000
- de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f;
-
- ## Make the shared secret using Alice's private key.
- 77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a
- de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f
- 4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742;
-
- ## Make the (same) shared secret using Bob's private key.
- 5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb
- 8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a
- 4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742;
-
- ## These tests are from RFC7748. I've clamped the public values because
- ## RFC7748 wants the top bits ignored.
- a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4
- e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c
- c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552;
- 4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d
- e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a413
- 95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957;
-}
-
-x25519-mct {
- ## These tests are from RFC7748.
-
- 0900000000000000000000000000000000000000000000000000000000000000
- 0900000000000000000000000000000000000000000000000000000000000000
- 1 422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079;
- 0900000000000000000000000000000000000000000000000000000000000000
- 0900000000000000000000000000000000000000000000000000000000000000
- 1000 684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51;
-
- ## This one takes aaaaages.
- ##0900000000000000000000000000000000000000000000000000000000000000
- ## 0900000000000000000000000000000000000000000000000000000000000000
- ## 1000000 7c3911e0ab2586fd864497297e575e6f3bc601c0883c30df5f4dd2d24f665424;
-}
+### Test cases for arithmetic mod 2^255 - 19. -*-conf-*-
+
+###--------------------------------------------------------------------------
+test add
+
+## Some easy things, mostly to test loading and storing.
+x 0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20
+y 0000000000000000000000000000000000000000000000000000000000000000
+z 0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20
+
+x ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
+y 0000000000000000000000000000000000000000000000000000000000000000
+z ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
+
+x edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
+y 0000000000000000000000000000000000000000000000000000000000000000
+z 0000000000000000000000000000000000000000000000000000000000000000
+
+## Random tests.
+x bb8cd45b6185ee8ca34c4d7560425fd5c2fc22871113c6427198e8f9439a8523
+y 98f16cc5e44b7228b7f3b6ed91930d68bba5071157d19259c48034d2817e30d5
+z 667e412146d160b55a400463f2d56c3d7ea22a9868e4589c35191dccc518b678
+
+x 8ef938a7b07a668c234c2c5bb65115b8e2e22a3703cda51c70e7a56a075d4f34
+y 1f3cd4bf4f768058c4de1aa5aeb90e227338e308c7a0a199050ca1c38d1e034c
+z c0350d6700f1e6e4e72a4700650b24da551b0e40ca6d47b675f3462e957b5200
+
+x 8b2c4678fd4f8b7254eea925e4da8d472db7f97d349d1b2134ced884b747ea7d
+y 58dca7954f843b7e4dc56b048903e7728df66ef6824f29932b2f568c995ddf2c
+z f608ee0d4dd4c6f0a1b3152a6dde74babaad6874b7ec44b45ffd2e1151a5c92a
+
+x 9cd64f0cf439bccd224f7a789396b9f888998d1ba9759c93a5d6a27f45db0e67
+y 12f724a127052612081e27e3915db9a540de9b64c566edc313914ad94424464e
+z c1cd74ad1b3fe2df2a6da15b25f4729ec97729806edc8957b967ed588aff5435
+
+x 82e59fa9703b2557303665fe24e3d46259da974d78155f05c6b8891f92fc808d
+y 98a073ec62baf1354b681a3c78d62df1698ed5077dbe2bd68ba4a6e0233e3447
+z 2d861396d3f5168d7b9e7f3a9db90254c3686d55f5d38adb515d3000b63ab554
+
+x 686ceca221d0f4c6d98287e97c506085064e7b172672b88ee555dd0308bfd309
+y 60adc3675be5e6c2921a74b5b8b24b0a26341a19567dae713a720786bc72df16
+z c819b00a7db5db896c9dfb9e3503ac8f2c8295307cef660020c8e489c431b320
+
+x a50a5b82d2451ed9a5844585712202a6dc0e0230501d57b8c00f4bd4771aed9e
+y 98d71b8b140aea02ad47d9b19e47d2a03257adc1d5c47611adc667652b78c87c
+z 63e2760de74f08dc52cc1e37106ad4460f66aff125e2cdc96dd6b239a392b51b
+
+x 1637e3eb4c5d173b8cba29bdb13b930f48ae0599e354819f8ae0cf70f0f7b61b
+y ffeef1767df70de7a4a75864c03935d7934c6cf5228b9c3000813ed0e55447e2
+z 2826d562ca542522316282217275c8e6dbfa718e06e01dd08a610e41d64cfe7d
+
+x 9e8bf571c45bc5f37c9126e70498698978903b94d9c6712baef91894ab924fda
+y 480f68f8ee644bfb64e3fa514eaf16aea6368da6813802c4c3e6ce8f6540dfa3
+z 0c9b5d6ab3c010efe1742139534780371fc7c83a5bff73ef71e0e72311d32e7e
+
+x df9bdbd478bd1ec1ff078cdc76f2a5fcdc52f0198ba412e0b5a10e664b175dad
+y 080bc47bd2fb2ba3be6a07a02162f76020479f2cc6469c6766df23acf9517896
+z 0da79f504bb94a64be72937c98549d5dfd998f4651ebae471c8132124569d543
+
+x b6dd223f5d8a3dc5dd6f7a0679173ff656303017a17f17f4086fd4ecd3a23020
+y 560d827aad23c26fddbfd16c3514a9b518a4586d6e3c5739860743662b14f4b4
+z 1feba4b90aaeff34bb2f4c73ae2be8ab6fd488840fbc6e2d8f761753ffb62455
+
+x 1d59691a670c40143ca7f7e693389ab64a911b17a2fe4368fba9097b40864162
+y cb42d3ba12a8b90ef1622ea09241d3157c515043040914356d6d99b95089fa07
+z e89b3cd579b4f9222d0a2687267a6dccc6e26b5aa607589d6817a334910f3c6a
+
+x 82b48877e9c8c18edb52db3e1417d894e572a8edd84335d93c642158f2a926e0
+y 93c6a39c1ef97f318c3b13bf8e77bea653b2eb130bdf43b00a0e0e40a362e819
+z 287b2c1408c241c0678eeefda28e963b39259401e422798947722f98950c0f7a
+
+x a6137481c5b9b8bcb3c87f3868c5f812da71aeb21c5ce18a508773120ea4f659
+y 812eacdc5a8eb2e8fde0c23a19c2e33466d754ab3109d28ff48fb41dab8066e2
+z 4d42205e20486ba5b1a942738187dc474049035e4e65b31a45172830b9245d3c
+
+x 598fb4096a7054e317e66bc9633d56dfcaeabc31a7bbc9da13074b242edeca09
+y 929b1bddd55c99b06b99a3ffbac5adc1d28823cb8354adcfea60b7a87fe32039
+z eb2ad0e63fcded93837f0fc91e0304a19d73e0fc2a1077aafe6702cdadc1eb42
+
+x c42183d915267e655409326b1b77a042d8918feefd75dd3d18551f398ef426e7
+y e3729a6110686ffa57d1c69284a60fb36173148a89b1810d04614f03c8f90084
+z cd941d3b268eed5facdaf8fd9f1db0f53905a47887275f4b1cb66e3c56ee276b
+
+x 67b8b7ea7e7f9f52d686f906589c919b293bff6d3127e7ac581dc1630af7bcc1
+y 99d18d2190ef0da148b843c014fea3efea59f9adbb28fa38407191fcc24e029c
+z 268a450c0f6fadf31e3f3dc76c9a358b1495f81bed4fe1e5988e5260cd45bf5d
+
+x bc3422b79e01234fefd3637a19bfb2dd0a83bf2071b27bf5389918a50e579294
+y b665dffe064aceffaabba94697cf27054d016427ebaf68858c5250cc5c1b770f
+z 859a01b6a54bf14e9a8f0dc1b08edae2578423485c62e47ac5eb68716b720924
+
+x d419cbfd5514d9cffa1765b9f273fd7492000a3d110586ed0b8137760a2e808e
+y bcb52f423917c074464b2078d1c3f883fb793b02411b8b13c08266d17658a499
+z b6cffa3f8f2b994441638531c437f6f88d7a453f52201101cc039e4781862428
+
+x 2f7eb8051d16a52b797e2618881bd0857eb205bf97e581e09680f86308f7e082
+y 9ceda63b29c3bfedbb6f3f0be2f3f2bd285bb9d21620c3edde69629b00b1c3cd
+z f16b5f4146d9641935ee65236a0fc343a70dbf91ae0545ce75ea5aff08a8a450
+
+###--------------------------------------------------------------------------
+test sub
+
+x dfb53b4ff67c742728c564d50ae20e3e3617804478a95e511d37ff4dcf04fa3f
+y 9bc2006bb07dcf7bf0b461e7599e3c3cbfcdf6b6f41fc1db2219767ce9c43bcd
+z 1ef33ae445ffa4ab371003eeb043d2017749898d83899d75fa1d89d1e53fbe72
+
+x 432ec65076c94af41e054a43f64fe4eecb23f50a303fd38e0172e4e846e67394
+y 3642c84c5f5fcd5a0f3f2e37114beb8e7b614c39d354f1b32fe7e9cc918da5c8
+z faebfd03176a7d990fc61b0ce504f95f50c2a8d15ceae1dad18afa1bb558ce4b
+
+x 1725a986c03d9d53346ab2064545ba90ab38191e19ded9ecc2f44d422ab04150
+y 11a20caef0239e4ffb5ab2f7d3576633a0d4a08c78a02f35765fafff5398c48b
+z f3829cd8cf19ff03390f000f71ed535d0b647891a03daab74c959e42d6177d44
+
+x ec5d5cdfc8183f9aa3d47634d16427c3a399e2166bfa4ddfecbc911e5f33ceba
+y 649f8e29c483765c4232c369fd0e50a0026eac306eb4bd6924e7b4d7d3f73e26
+z 9bbecdb50495c83d61a2b3cad355d722a12b36e6fc459075c8d5dc468b3b8f14
+
+x cc9927c331884612d8fab9a2262ad0db38f55e0cc587e45b972ea8b1f504450d
+y 30c5c9f8d5491a350051bbc6bb78e568d98061b43cb1797cd3d7454e8a7aa1bf
+z 76d45dca5b3e2cddd7a9fedb6ab1ea725f74fd5788d66adfc35662636b8aa34d
+
+x 662bc96da214e50f13e07a15b8e0b78f512c744a66975b2170ba28079ca7d03b
+y 84b072295dca0abef806ec5c1e594179dc5e9eb172c178af1902a42ea7a3728e
+z cf7a5644454ada511ad98eb89987761675cdd598f3d5e27156b884d8f4035e2d
+
+x ed6f947157492eccc5fb1d0542593d58a47e2d87355dc0378e65376163fcf457
+y cb27e06c5ebf42a61caadd4fb222799772aaef31487bf61ac84c15f58af265d3
+z 0f48b404f989eb25a95140b58f36c4c031d43d55ede1c91cc618226cd8098f04
+
+x 33c2fc57d8ffc29e6d670cfc4e25b695320055cf443ade53f49f6c23c452f644
+y 3814860ccbb4391894c107961170d3af1594988a7972b97d0fb2169631b216fa
+z d5ad764b0d4b8986d9a504663db5e2e51c6cbc44cbc724d6e4ed558d92a0df4a
+
+x d0fd0d5e73be5c534aa37645aecc49b202fadb30733f16d0de719a70bec2c751
+y 910c7b4d317397cff70c91e5bf8ec42ba1700b0866adbbfe99b7fbb2c46c7093
+z 2cf19210424bc5835296e55fee3d85866189d0280d925ad144ba9ebdf955573e
+
+x e0f8130d6b0125e824b254ed57edc59455a8a4704a3f14a4ae8dbf8721595468
+y 4e4f69af6f85742068ad70225e8850c85aef3d3fb3ba3b52c2be979db4eb979d
+z 7fa9aa5dfb7bb0c7bc04e4caf96475ccfab866319784d851ecce27ea6c6dbc4a
+
+x 204d5f69ebab4597d2aa9295ecc2959480a2ab0b225674cc8a147cf7c1e59717
+y 3abdd29c94819ec7507673bd5cc4fb267fcb17c1509abd5e462b46b012f815a8
+z c08f8ccc562aa7cf81341fd88ffe996d01d7934ad1bbb66d44e93547afed816f
+
+x e2d75c74060aee615b6cfc815c8618f826b07c4987e10f20d27ff74eab3ac7d0
+y 7a06b32d284b5faedb91dac8e94cb7f76c678bad81ed78ac4e75eb9edd8d11e9
+z 55d1a946debe8eb37fda21b972396100ba48f19b05f49673830a0cb0cdacb567
+
+x 8d50b0573b0bb945bf128e1a9a37c151e991581673cf6295db5a6223d428ac9d
+y 47ca477794fdf378f3486355b5348960ee957470b8c74d62199ac48b4478c4ca
+z 338668e0a60dc5cccbc92ac5e40238f1fafbe3a5ba071533c2c09d978fb0e752
+
+x b66b49190a99456aaac5c33beaec423a3fa79a84df0f00122aed29151185ceef
+y 13c06f7941743bfa261845d99772fd0d5f1a8258aeda53b161505ed8bdca1bc8
+z a3abd99fc8240a7083ad7e62527a452ce08c182c3135ac60c89ccb3c53bab227
+
+x 44ac89bb8d4de1a8756b00401236ea4e316a2fe637f6e5f052576da70c29c4ea
+y 05dd39ac32768d899b80ed10279aa10d6316d60ab2d061e877dc5f21ce8e1140
+z 52cf4f0f5bd7531fdaea122feb9b4841ce5359db85258408db7a0d863e9ab22a
+
+x ef0f6c7f56ff22260c66d583f79c7f581181d3a0f3167c93786bb6c89de4372c
+y be934afeffaf5e6755a92e6606ffd054627dbe1b18ad6ae543363a01da605512
+z 317c2181564fc4beb6bca61df19dae03af031585db6911ae34357cc7c383e219
+
+x 773e0db8f86c5182b5f51d10376f42cde275dac6a646ab1cab065760e045107e
+y 3f92ddafdfe67d357b4f9b61807bcb8b0f1f6c2dacba27902f48fc15a31db606
+z 38ac2f081986d34c3aa682aeb6f37641d3566e99fa8b838c7bbe5a4a3d285a77
+
+x 34860a848d0afb20e43f4a36b3c8941f5821864216da9cb3ce1a11f056565a3d
+y 9dfed86048acd45ec0009c1ba3b20a1ba645ec141070fd8ae41d25e159bbce9f
+z 84873123455e26c2233fae1a10168a04b2db992d066a9f28eafceb0efd9a8b1d
+
+x 854ba91672ae1b8f6c29395dcfa4f3514ed97dc2c9e1e419f926825619fac55b
+y 7a700653ad355caf17f89045ecfb3ee821194b54048e55d8eed41fea2b0a22ab
+z f8daa2c3c478bfdf5431a817e3a8b4692cc0326ec5538f410a52626cedefa330
+
+x 0c66b3d8c3916940b70d381d232ba8aecfe27e3ae63fa6cbb287216708f224f0
+y 477186656245c4083dff93a95c6e5deb707916e52cd74abbd522743c24c53088
+z c5f42c73614ca5377a0ea473c6bc4ac35e696855b9685b10dd64ad2ae42cf467
+
+###--------------------------------------------------------------------------
+test condswap
+
+x 14e55571df646a69a8280bf8dbf8e9afc15bf5558bb8b8236ebcaa19a96053bd
+y 8bef5021598a8175565e1f2b522ed1c4306fef4e0e973b50d3a03db1fcf11a43
+m 0xffffffff
+xx 8bef5021598a8175565e1f2b522ed1c4306fef4e0e973b50d3a03db1fcf11a43
+yy 27e55571df646a69a8280bf8dbf8e9afc15bf5558bb8b8236ebcaa19a960533d
+
+x 53d8c54864e18f8fc742b2cb996f1d7595122ca9c90de9f49485cf5a5ef05058
+y 9aa95be655b6704a3dd482e8424f82d17443ae26ab41092fad95df9cac678787
+m 0x00000000
+xx 53d8c54864e18f8fc742b2cb996f1d7595122ca9c90de9f49485cf5a5ef05058
+yy ada95be655b6704a3dd482e8424f82d17443ae26ab41092fad95df9cac678707
+
+x 8c7b4ffbf50edf7edcf8d69b67796de38b56a5d4e3a9fb2201354cca0b1b7c57
+y 856e707988c37e59fc6689d024b98bc01b71034484ba194ec7f45106267cb7f6
+m 0xffffffff
+xx 986e707988c37e59fc6689d024b98bc01b71034484ba194ec7f45106267cb776
+yy 8c7b4ffbf50edf7edcf8d69b67796de38b56a5d4e3a9fb2201354cca0b1b7c57
+
+x c8cb24a636f6d8f2c045c8441b21314884a71d55c73d4ef7ad65620ac0d86616
+y 02b47be53df7c8521d57589256e69b8bbeb1e838d84c090287c04a25d5c08e1a
+m 0x00000000
+xx c8cb24a636f6d8f2c045c8441b21314884a71d55c73d4ef7ad65620ac0d86616
+yy 02b47be53df7c8521d57589256e69b8bbeb1e838d84c090287c04a25d5c08e1a
+
+x 7d96f47612fb7135edfa71dd4526d8b4c944d74ddf004e1653d3af52485168b4
+y a4e83162602d20cf71a279c1071038ecf94f38be11ad1191927b3f480d393e1d
+m 0x00000000
+xx 9096f47612fb7135edfa71dd4526d8b4c944d74ddf004e1653d3af5248516834
+yy a4e83162602d20cf71a279c1071038ecf94f38be11ad1191927b3f480d393e1d
+
+x c3a3d4462091b36bd6fd494e70c3166478be0a65bca7f7361246c52dda402981
+y 62d0ae1abbe5cb909328f59e71330269e4f2b1d3c664e7f1f0780e0a4774c262
+m 0xffffffff
+xx 62d0ae1abbe5cb909328f59e71330269e4f2b1d3c664e7f1f0780e0a4774c262
+yy d6a3d4462091b36bd6fd494e70c3166478be0a65bca7f7361246c52dda402901
+
+x 38c9b0d92be50270e29cc3181952e745cbf21c8d145ae0c0a6e59f25394ea59c
+y caf4896a2d3666200741d817ee1dac661652b9a1741ea966d5ed7cbc4c76217a
+m 0x00000000
+xx 4bc9b0d92be50270e29cc3181952e745cbf21c8d145ae0c0a6e59f25394ea51c
+yy caf4896a2d3666200741d817ee1dac661652b9a1741ea966d5ed7cbc4c76217a
+
+x d637a72affa4112bbccd2878208ce34fae442e97175e1b39f43c00b14d312a2b
+y 76209f8b1f152ba7e1e6294f707831021eb2ac03872ed3774ab8fc5e6a0e864f
+m 0x00000000
+xx d637a72affa4112bbccd2878208ce34fae442e97175e1b39f43c00b14d312a2b
+yy 76209f8b1f152ba7e1e6294f707831021eb2ac03872ed3774ab8fc5e6a0e864f
+
+x 12f3bd417fb3860b2a4fd04eb1c51c558a4c5a3dcc1ac457654a45a3cd45b0d4
+y 46f802836c7bde099775f3fb4f5f6345364a7e158bae9e16c4c99aee0cfa5e42
+m 0xffffffff
+xx 46f802836c7bde099775f3fb4f5f6345364a7e158bae9e16c4c99aee0cfa5e42
+yy 25f3bd417fb3860b2a4fd04eb1c51c558a4c5a3dcc1ac457654a45a3cd45b054
+
+x bf1809201f83a34cb07aa2e2372516631ba0513e600956e6702903e9084770c4
+y 414bbc77d13d7b4e706acc07406e8d624f2485463f9948d81b72268c1e086a14
+m 0xffffffff
+xx 414bbc77d13d7b4e706acc07406e8d624f2485463f9948d81b72268c1e086a14
+yy d21809201f83a34cb07aa2e2372516631ba0513e600956e6702903e908477044
+
+x bb8703f2ddaaaaa6ad19219684b1bde576b38bbe9065178b24c1bc55563fe525
+y 1cb3ca7846a3c584b1bc05b25ee91d4779ab9ac64ecef0fcbaea8d311b55d618
+m 0xffffffff
+xx 1cb3ca7846a3c584b1bc05b25ee91d4779ab9ac64ecef0fcbaea8d311b55d618
+yy bb8703f2ddaaaaa6ad19219684b1bde576b38bbe9065178b24c1bc55563fe525
+
+x a07c7110c32e362864a42cd2f371ff420bfd442d291cc15ec079d642b5c85bdf
+y 497fa7867fcd0617c4cd765aa6f46b89390744b5b57d11ab732153e075fcb607
+m 0xffffffff
+xx 497fa7867fcd0617c4cd765aa6f46b89390744b5b57d11ab732153e075fcb607
+yy b37c7110c32e362864a42cd2f371ff420bfd442d291cc15ec079d642b5c85b5f
+
+x 10fddb7f48015b394512257da026938b67f65dd0a84dace51417d68da003a913
+y ebd6706b7cd2ee2d97848ee1adaa990d8ddbfad48e43f51d7ef843fa7597410c
+m 0xffffffff
+xx ebd6706b7cd2ee2d97848ee1adaa990d8ddbfad48e43f51d7ef843fa7597410c
+yy 10fddb7f48015b394512257da026938b67f65dd0a84dace51417d68da003a913
+
+x 1dd835e2173b936a91da37b3aa11e848e4497964a9a78ea929a19105eb981a24
+y 3e6f1ab7d5c460dfb7ad1926c60b64a8dd48ed0115b0655a6d8619666b8c8dde
+m 0xffffffff
+xx 516f1ab7d5c460dfb7ad1926c60b64a8dd48ed0115b0655a6d8619666b8c8d5e
+yy 1dd835e2173b936a91da37b3aa11e848e4497964a9a78ea929a19105eb981a24
+
+x c4541b1380e796a333d88affdccb4d2bc68bc5a1b3890ef2fc1a2c38dbcac725
+y 6f6338ad8dc0562bc02e307743b81013ffff6c135fdf8603f9956b7f94eb55fa
+m 0xffffffff
+xx 826338ad8dc0562bc02e307743b81013ffff6c135fdf8603f9956b7f94eb557a
+yy c4541b1380e796a333d88affdccb4d2bc68bc5a1b3890ef2fc1a2c38dbcac725
+
+x d71f16494f041d1547e5dd9ed539e6b9c1506cebb66f6424e6c7aaf6d0ace080
+y 78c1e6cc0b6f64e161def3b2ede7465f21f6afe61299e9a3c52b1a7a080b9b26
+m 0x00000000
+xx ea1f16494f041d1547e5dd9ed539e6b9c1506cebb66f6424e6c7aaf6d0ace000
+yy 78c1e6cc0b6f64e161def3b2ede7465f21f6afe61299e9a3c52b1a7a080b9b26
+
+x 4d90838ab9cc0a79f4e2aa6a860bf8cfbce5f834aab428d4a06f8ef4a2da582a
+y 53124b302e7675ea5784e2e7d9fdecb38d9c8be158312dd81c51757bafb79b42
+m 0x00000000
+xx 4d90838ab9cc0a79f4e2aa6a860bf8cfbce5f834aab428d4a06f8ef4a2da582a
+yy 53124b302e7675ea5784e2e7d9fdecb38d9c8be158312dd81c51757bafb79b42
+
+x c8e764092ea695b0dd8f0ecbca5a4e02096c821b0f5cd57de8e3e50d8b2a40db
+y db7fb38dfede5259a584dbcc697f259ce380110636e301acb308bf687449110e
+m 0x00000000
+xx dbe764092ea695b0dd8f0ecbca5a4e02096c821b0f5cd57de8e3e50d8b2a405b
+yy db7fb38dfede5259a584dbcc697f259ce380110636e301acb308bf687449110e
+
+x 34cf8e55b3d2494362a87a24907fbdab61cb4f452ef5a889a1aa40a22be6d976
+y 679c6d6f6dca1b71bb098e3854c63ffb8ddb76f1a1cb246ce956fd71d6477c20
+m 0x00000000
+xx 34cf8e55b3d2494362a87a24907fbdab61cb4f452ef5a889a1aa40a22be6d976
+yy 679c6d6f6dca1b71bb098e3854c63ffb8ddb76f1a1cb246ce956fd71d6477c20
+
+x 9638ab322ced065068f98597cc61fc2bd846b5849dc39a881209b8efcbc95eec
+y 32922ff2b62e968417225b765f2787387c8a42fcab1dbec3815298f53813a8cd
+m 0xffffffff
+xx 45922ff2b62e968417225b765f2787387c8a42fcab1dbec3815298f53813a84d
+yy a938ab322ced065068f98597cc61fc2bd846b5849dc39a881209b8efcbc95e6c
+
+###--------------------------------------------------------------------------
+test mulconst
+
+x 8d517a8804d934ae93388e1d59748c3c22866d7be6cec58a357ec43f6dd029db
+a -319312
+z 3f2fea85c9195f2246f4f6fd2e8d5de95c5065edbea45a174bc0d1ef3db4aa54
+
+x 1b5d6a6c9cdd0dabd126e5f5ee2513f3d27c56dd3aad89c882fe9fd2d38a93b9
+a 499342
+z dd310555966ebe7f409dcce2933f91af8e14c8909f78e4f113606789dd7f504b
+
+x 9e03b44e93743e0cf5768f65bd3c0f255e001de330d5e1a863d6e4dbb11748a9
+a -284189
+z 6e8c7f8d0f1476cf2603f5702fe8e8bba5c01e86b6e008ac72987fdd6721183c
+
+x 9cc65e302736aab9bf02dd451c216ac3dd2066af299d7f6bb361eb3b36777f74
+a -15738
+z 8c067e5dccdafaf56301050be17b8895c07e7f13572bbc5ce1af8b5be043d91b
+
+x 7f36ff91ed165c6ee44aca261dc09e3e124c2ed8167064c20d9b84fa226e2555
+a 423857
+z dc7415db1ab5e5a5658d089ced49bf97718bccc55e2f15b83a28157cbe47e559
+
+x e8852c80db69c7e55d476ed00ca7c0735052f7f72f81198a57236feb89a5903c
+a -140934
+z 4923ee40bb01314c2fe9f2f87d0743823311b2d9265219eb7a6de5fdfd09a308
+
+x 505ef65d294b77e260757bc867199c4b0922b5022dfd6a1fe7478ea27ec102c5
+a -307893
+z b14d72c991a0bfc22b1b95934bbe589b6a4a1f9c76a89d7012f8cb03379a8844
+
+x e410c260dc8c1838f3e9658ae586425039b373ee2ab88c750a51853b012af0af
+a 471420
+z 42ae337a920ee1b83768cbf0750f524cf1f9e98b99f195e869785f90a2356756
+
+x e2d181914b54175190462d11402717f42efa37967b2fe0bc4433fd4c862fd646
+a 492178
+z 4c6e1ba6896d2d661fbf99b77f63e3095d3341f04bf258dc3e4f51e39c68f576
+
+x 9cdda0d7da106ef5cfb34774f48308b64953e92869dab0ba804927080509d8a2
+a -312149
+z 4e75e56793563268480efaf6232ad702bc5aef6246bd44e3499ff437810b523b
+
+x 9dac4442858b8dcc324464911e6f23ed046e42612e8105dc3aa2b9eccea15dc8
+a -88818
+z ce52a0897600a05383df0a0b99a451f0d5568146b4323392fc164153715ecb0a
+
+x c9f92ceffa7027ffa71e64b714c36b28a6a18c3608f8170d11d51acbee3c62ba
+a -259755
+z 89582517069925572219b2eec2a25029e8e1c78772ca8c50bf23220d02740763
+
+x 8f8bcf28f4920465680c8e15befba4ebd23c1e27b71c224c98461f69caf76eb1
+a -430350
+z e96b93f0aab6ca70f7d2c1121110efc320aff34e1ec693d7bf17bce1a756d622
+
+x 6f4d413a27388fe84a2585e809927bd470ba1b0dc749ae6e2dfa100617a5a7db
+a 11486
+z 1cf1f5bd0770d949ee36df858e5842805d121722de30d2ef6bc2b82d021fc14b
+
+x e1d05a072d1ab70d895969271f44b7c9d1654171836cf234724d2f90434c04e6
+a 8057
+z e32b3c792cd3b6a770eaa2627ff8de8895873d73d734b961646fbce0643a443d
+
+x d8564ee3ff02c80f0bf3e9cdfce42cd8ac1012ad8ea74f8c0f5754b5775a8de5
+a -304373
+z 884266ea43a6a9b72d113b437dae63c664ef53884c893212fd864412f4e5e457
+
+x bf66769ee0cf873764524e760ee654e8d5090aa774f2e96144d945f8da37af19
+a -159091
+z d7438999b3bdb99a46e2f3dc8492cbaf52b0a19c651cc382c384940861bccb6b
+
+x 72b7d02b1fe23adea87696864c0a9f0466db85e39db397f0eb428a50e277aa2a
+a -521654
+z a611bd153336e178a7f3d912adc2fb39b342132458faeedbdb0a35973efae23e
+
+x ff5c39d4b7fff86810a7a3b14a58bc01e6ecf062116adaa78dac0d1bd3f6039b
+a -140759
+z eb9e32bf7d027cda198048da50aa79a11bc99f3b37a219a2104c78f4affb584f
+
+x a6f1f7f30e3f9e5467f180f92d2c94165fd9427d0c7d383b9077ca9a7e50dac5
+a -317637
+z 56a32847c50bc9609db9796e1650fbe97524aacea746d3cf285f0f2fced01a49
+
+###--------------------------------------------------------------------------
+test mul
+
+## Easy multiplication.
+x 0500000c00003800006000004000000009000006000048000090000040000000
+y 070000180000200000e00000800200000400000c000030000090000080020000
+z de200094610090df0020fe0180270700650d00dc2a00f84100e0340040570000
+
+## Random tests.
+x adcc6f10734dae2273304a6aa493ee8f96e05f2402341c0d997dce58ea57ff6f
+y df3c8d5bb6380fa278d4ff2994c7865bcc146596d3c3126242f0dc3509b57449
+z 5ee2615b75a40367ced4ed4bf1578d13e7afa4d415f38f802b7e7b374365b627
+
+x 054bc4d5e9b78b068fd20645eeb1f03aef2e89a1f56cb50e5f1170a86529526a
+y f976ffa1d1b4a33d0fd866528897cea3eaffdc75e31aa65450a62ff765fe7985
+z 0210280745f6c29a04433f07f880bfd2eddd758d82996e79c65de817c30e7309
+
+x e361c6fedbbe081b7cd683d23a2bf0ac889806be7230b56d9398959713a300ec
+y c8121e53d78c2e9ba2ba7f51b7cb15cec970a63b4a642ac470aa1f2145f07bd0
+z b48bb1c7ddd26cd9e5a2cb73bb3885dbe4a47e03886d4dfd59e5729d544d566a
+
+x 463158a2077f931567d45e19deb4454a2ae77045db70a2c078e160ebdb74fd94
+y 3f311e3f8d225016448fbce3fbfbe84002736e3b0d5a90f57d705ede8706008f
+z 44cd97e25c20ae2fe2ef4f2630981a1fe54c79ebd904bc40e39d9fa615ffa76c
+
+x 1c73fca52556e01204d4b957a01d1049f2247c8666d90c1d3703cff16a38c8bf
+y e9afa0cc85577ec7eb1ac66d87260d5f3659936ff88cde8bd1c3fa1d499e8bcb
+z 0979a8baf734c86a4f57ae400b7790c4985fba3088cb1b265dfc7a66c794121b
+
+x 6e2bab74e427b1a44f0cb181f9dedd6fed43cfd395d3708c4ae8fd2137215eb6
+y ef400834f2dad8763a1a5a58a37d1b36a78873860e4dac808d3166f13724942c
+z 0d481adbce7bd82ebc5a3e5ed7a492e78a032ebf211a5bd2371c528c77954936
+
+x cb3575b41d9521da5c85c6438af14903a8d6d9c3857aa8e101e5295fb277de7b
+y 9f76715d2ae3c8ca182406553d3481fc36d67727ca2d51f5db37940aa3208d8d
+z 0b2fa619265bd424b9e20d38bf4552ad63de8ab552166080d099edea5fbadf7f
+
+x abd66cf3b20dc4c5a866f1a3b965f794a726f96dd00f576d16ead66eea3a1177
+y 97f70fc92e0cda0e010f2a9d7608c33db954af18bc18ad55bf66e7d91ae31abd
+z dcbb2cf34274971ef030827865b093a00761de3da90e46f00e18d0fd934a2b7f
+
+x 3b3c96ff9be8e17e0a0d3979ea5e5623fff5fa18914151abf79fe66639beef06
+y 1d29c361677805f1dd2b839e025e56208a10c0b8d9f2a8c490b0a892c0e27080
+z 0050873016bc67023d0c479fffa56a5a70512f9864d00b0a3e951f1e85c8b412
+
+x b263d4a71b6d963e0a972819e5e5805b9522f142d3c0ff2738c51cce31e9f0d5
+y 64f3fbcff2195c297292df3e1cf900aae457e09864c5a6248ea21ef8efd557d9
+z 7e6f6f511cbf2743c0fc1c6431243908606cb257d20f8a8a0885e6ecd000e811
+
+x 0df0497e1e01dbcc4a48d4865127d9cc31a9a0a56e90cc31619e65c1521b2369
+y 9277f0c6a5bcd7c7ed8dcf7182795f67a12e856b126d09966689834c43aada47
+z 798d270ae34aa2452694b4ff74049a6a5169d71c85bd1a9ac59625e9298cdf1b
+
+x 1dc64bef2189eb5349f5a8983c1854a40141a5390ea4bf8535a15aa71d0289b7
+y fb59dc9b08f9163881b10020ce040da296ed8c1a9a935c27ca0047a4d7f6342b
+z 9fc23104cefd3014a469e6d3a0631338eaf91e24994ecd50bfc0b4547317317e
+
+x 975b108909e87803af98af9425d2a982865b6cc9c144985b32fe5bb842702e24
+y a69e9130dc40be50e827dc50dac05bf900946cf67ec35f1bb1705001314e4fcb
+z 12d042e50d0cff7b43a5ede61ce827a99619bf84995d488fe9eb56a8de769164
+
+x 39c0db5a4b161c368b0f71c7e8ef97dddc444e4a33181e0743519f2a879ae04f
+y d3cc45ff509ed45998bd5f218408ad51f7457b35e8ad69d5431f174047d7c6e5
+z 96b877604f52782ff2a5b1a12d7db642371ca993b648c4971cbf593213503219
+
+x f8c6715e4a327cbbdbb08d74121619abc73dc421d7267029e39b50c1510d2045
+y 63870a83cad4c1c64195ae7b92f3b19c830f35f1a3186815565d846c787c7ffc
+z 286a0b8c6681a7b79a5f85426fb60819b7bd349e93c1e11943c41c8dfd57d00f
+
+x 49c9bcaf5434b8205a348df290a96da27df084f34047efbf91cf544057a50bde
+y 54269f8b23c05b94c9c1cd74eae88d9227af12a6fb337548eb93c2a88a75a8a5
+z 1e3dcab5d7361f00e70198b52e8fb6d1fba74abd79d99480527f6711b21b833b
+
+x c7212b43ff0d10fc52d3a2a7e15bb9cf53856f7ce33b79df89e1d13f95a94511
+y 5213ec20bd054491a5485f665075835da609ad4f3dc005744f061480862ee602
+z e136339fa01067c6c0823a7ebe2f84d917600e244a9883191900bb95a3b59764
+
+x a15d62c6308448f1f70602f43be1825696d228eb170bed55322a21d2b1afa915
+y 58afe65bc8adbe22807026aa1b0d68af330bca268fdc054406aa41c820960e71
+z 996c597e0a024c2ff0ffe289d8c7270e4ea1d38e294d7210eddeb2c0725a1305
+
+x ea233ae033ca93034bc8fd8ea3c0625bbb15b00265264fdd61f62cc808b505fe
+y 09e12ef9b3426991f7119c2e8349278342ed0072317c4ec7ab24561b61396b39
+z 1fd72191fe9f00b0cca6a635d14904bd0c1e0ccd1275e84ad0b7bde134866e2a
+
+x fe1fd3da05524af4ccd538f1d2ede09582101fc2a47c2e63758a546bed6cc5ec
+y 523346406ef3df6ac9a455d0d2e7f732ad01c88245b07a888cc21c40fce11a76
+z de6cac8fdc878d9c4eda6b78f8b629ecf776980e49fed56bab936fc03924f44e
+
+###--------------------------------------------------------------------------
+test sqr
+
+x 4dc87ad85abe8938634492ce2ea10bf48dc4aa2fa37a6a0fde3e5a01e90dde2b
+z 346297c756d77b8ea312ddc455223f4577aea2a2e8d944cb24adb487de143b46
+
+x a33aed91165d7fd13a543760d3915c1b5d411a21895cde81b2f3640b87550cc9
+z f923e49da9d5f45e23a782f911fac1a6c2e67cbbc7b03ee4675a0c5fbec03641
+
+x a1406e453db6c92ef808295d1919c5bb2491c0ce6d5326d276c57e57943e0acc
+z 18425bbd92149991c4545e65495af0e6372289e9a32649c127122243204bdd73
+
+x 70a56b8484234ed002a68c8d535a4e527a61c360f7d4ee5b4970c8ace1e12de0
+z bed1c435139f151d0650577e03c32428f63cdb7bc1920110b5fdbb27f08cb200
+
+x 86c3236a6194f1585b4dbeb09d0247fb7d3ae08063ccf9fc4fde70fc23735710
+z 9b6509acadd5d31c4c843e91cec78be00aec4fdf7d86132965bd6f62f078f711
+
+x 0e5e83c51a8c091673425c38785e0aa1d74c7261a035a891bf734cca8c8a3db3
+z 4efe5029e99438835a8a45d0180b8de357eac82ba9dd8e127baac0d758dfca1d
+
+x 31c39a5afc33f8a8d3c570b9dc5389bea6fdaaeeb44cd7524f6c445b9583a34c
+z 359b7c8791cc87aa8b3c799c9d4d7e1f4062a4f64436d8c01071597e8c262127
+
+x 5a06203c15d6c1db6ea0fcf468a1e3f09d68c4a0f64c3d7e30e70290545e708e
+z 07f8b435ea322bedf613458b1eb420f1d6bc96741d69695899bd40f7eca6f72a
+
+x b1973433646474167b791b326827641260fb33d6a2c96d4e963a6b091f824505
+z 52a62396dbbceead62912f8adfed2707fc25edb51aac19b2a274c246f1209f26
+
+x 96b157d71e107168fac206dd63007f10f4ae1225b0761c470ee18ecdb4fff20b
+z 84ba2a84b156437cdcc39ecc8b1ad01bba934d8dfb7d504b9f2442db0ad01167
+
+x 6167d77675e19785960c28df551b458e41dfd0dfe5e56e785b7367997d5eb0a6
+z 79a558436af4310d3eaee93f9a7cab72bd817fdf59d267e2c530ba8d667a005c
+
+x fb4b2ab08db932ce10dd62639aabbb266f9ce775fb5a5e0875864f18a3ee506c
+z a6013661f2f0ab875739836039bff6bff4c993aefdda43dccecf4c404b9a612a
+
+x ea26bcf0bfc3e15d4df7ddbcac8b5b9e9a7215d74196d77c9e0524e861c6aeb4
+z 113e06861e3d338618695f4713464cea536c8019da77ff0dd9946f3b860df062
+
+x b67b1ffffec757ef147e86cf60898c5dac515f080f43f4e120017caab4eee5ee
+z 7d9748a1ff6ca9cdebeb3dd6668522767afb9ebf1c680fe7fb3f5848f7222036
+
+x c122016f17f12e53f9ac031719fe428c826217b2b757ae44f2f33d1b8b1bb553
+z dc068d032b97c98eea6dd6c8bc42e9a0a6250c81a36a8f64615489e191287c72
+
+x 1266ff0654c08e6183cd6c3cc760cc5c88d1f49b918f2f8f587b3edd4adea513
+z f07f17fadb2e2dbd282d296fe5a15cc5c2baf6b45f5fd5dc4692f252039bc862
+
+x 4c4dd9c6e46fb2c096388583f2a0c969245452b23f16ea43e15064c45357ccef
+z 5127fd4415a84115997b8b3ebe88a590efde9f8b53a43e86b1a4d60782c91025
+
+x 095d149c2616212e5f770f133e719d285a8bc888414271296684e732feb5473f
+z d8038bee551cac14d1c610bbc0960d943b01526072c589bc913ab51fd47bc848
+
+x ad55f9f916d62bb13ceb1461b99e82d76b860c084ca408dd4a18f154b907754a
+z e5c86ee6350c9ab736229f3f53e2ab852641bb8a62fdda609444df377e9ca04a
+
+x 2e4976f45acc671e38add93aa6a89669cdc9874975879b3134dd37c633c9eb14
+z c6513f1a11346d33b05ad65eca13f11125cf70bdcdd6e666a8a7b9c5b6098429
+
+###--------------------------------------------------------------------------
+test inv
+
+x 344ff33a2bc801f861bd13575797da35352c8164808d27f51ea7ca46931b2b1f
+z 07f678dfeef071b038d692bf825cb4e75bc1934bd3a6e3dfea99e78bdaeecf3a
+
+x 670097e2fbbecf6516e949d98f6d722d3f732c33bfb4e62512f9d28d94546b64
+z b2f5cbcd7d8c996ed33a813b1aa39c36f5826b436867bd89b4ce43a156c1e96b
+
+x 234f3bd8760cdc8ae7fac9457da418cd082e42906ffe59a13e52185a7845e61c
+z 7488ff9231e4819684148e16ebc25440732ffe7d211eb3d3263db1af9f1d0513
+
+x 22a39a35b1cabc6dfecd1b898593070f0c81bbd04b4b20f43a9c7c14b5dfe967
+z 892024fdbc8937b9b3aef794f57b8ed8517510b6de3f6088987b1310c1dc7932
+
+x d850c118c69198268826d05650958c6bed55b181090cf1c96493ecc4635a913f
+z 7aeae1b0dc5211f374872e78da8f225325f3f33f9c42bfdeff25d425dff7710f
+
+x 33ccdc0e39f7cd0a61782c87ac089eb7bbcabce4dd222f05088d3d6332efe959
+z 668f87e23239e965c80740d4daa9c913609388f291c11f950684f45e689a061d
+
+x 7c06f93b2f66001c74073b8ba7536049738e89b0a0d859a8a73710de3fadcf79
+z 52df0aa24bb4a7474e6ed9852ba542c1f4c5219372a7b5d60988890e2955491e
+
+x 9a0ce9ff4026bd58abcf8a128dbc55a19c446005834a143634452821d5f9f0ee
+z 79eaa93b6287705c0ba564c31bab1854c7f4354845be065c4bf94d38a7a8b421
+
+x a13a127490bd3443fdba99baf61d113f3aadd6966c9732cd16348f9fbed32e0e
+z 67290b25e6bd7328dd804309a6203c02a75657f593c7e66e48c9192524e5b87b
+
+x 35f7ac3eaa36c4ed338388fe7eda61cf237eff6ddc0847cb0c95255bbaef8ddc
+z 4950601d2cfe75eb9c4524e2f40f404fe82d0014c916dc43d9416cd2e274992d
+
+x 8a058593035986da3a19e63dacaf40fb3db4cf382205fc4e4802e0ff0c61c8d6
+z 6a23b743dc2fa4a4132780cf6edfed4c219760f3b31343b08710ea18d2c0fc43
+
+x a10d03234e700ec92270b6105fdb787d8edd3f960fdd78ea2e169f49dc708d45
+z 101dad1720604d0b093831baaa97fd0701ce773b9c1be1db0403533ad4376c0a
+
+x 52d3b9e030a5ed574f7f9489c47e73f78ef88a39b570045f9ef73c9a3e65f425
+z 83da3e088dbc9a3cbe06496c5a52edc8d7abcbb8a0f839361762137b119d961a
+
+x 9928b5f14ec80a036479d7b08c128e601db880daebef36adde6fbd1f50f82629
+z 8dcaa9a2439b77cbe44928ac2877e09755c505f58df4d0ffb9b23fc256b12779
+
+x 5a956523956f8ace6166ea6cb3c7421f8d1142d26084a81d615f00d578e03448
+z 658a3ee24ec5b5f1d2d12614e535247c9f2f259131b00f654e09b4517c63ea09
+
+x 157492cd38a07802351ca0d1a5615d5c5f254692acce930fb6be351e9a52f088
+z 32fec1eab85ddf8d27a437876e7f5a07f012b02e7971869811c3c31230204164
+
+x 2d07c109c332847567621ef4338e149b99c5bc3bf6e50943695da7fed5d8141e
+z a81472d28a8235bff43ad5cc012d52e95ece3dbc5ba2962dc54cf9e7f81bee04
+
+x 7e172f6c03415e83d4671e0191151d49e5257651ba73848254e68fad0a095c50
+z 1a8efdc57ae9d39ffa64afbc5d2dc1f25a29d365ac3dee0d8529977c14aa4415
+
+x 1934546e37b0bac80319fa7f2f86c18e83de8da830b9d0b5019c26768974eda4
+z ffe55479771f20518d8fc6491055368b5dcce9b4e193d19897f1e116b9cdf946
+
+x 90324ccfe0e34e9b08db1862be3bc17798a8581ee097be76545e3bf9d586a2e6
+z 0f5ccf4920d617c9b4f7fe6e2c9e95e89b5516555d5e3f5f9900485451d7425f
+
+###--------------------------------------------------------------------------
+test xdh
+
+## These are from Daniel J. Bernstein, `Cryptography in NaCl', 2009-03-10,
+## https://cr.yp.to/highspeed/naclcrypto-20090310.pdf
+
+k 77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a
+X 0900000000000000000000000000000000000000000000000000000000000000
+Z 8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a
+
+k 5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb
+X 0900000000000000000000000000000000000000000000000000000000000000
+Z de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f
+
+k 77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a
+X de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f
+Z 4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742
+
+k 5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb
+X 8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a
+Z 4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742
+
+## These tests are from RFC7748.
+
+k a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4
+X e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c
+Z c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552
+
+k 4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d
+X e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a493
+Z 95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957
+
+###--------------------------------------------------------------------------
+test xdh-mct
+
+## These tests are from RFC7748.
+
+k 0900000000000000000000000000000000000000000000000000000000000000
+X 0900000000000000000000000000000000000000000000000000000000000000
+n 1
+Z 422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079
+
+k 0900000000000000000000000000000000000000000000000000000000000000
+X 0900000000000000000000000000000000000000000000000000000000000000
+n 1000
+Z 684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51
+
+## This one takes aaaaages.
+##k 0900000000000000000000000000000000000000000000000000000000000000
+##X 0900000000000000000000000000000000000000000000000000000000000000
+##n 1000000
+##Z 7c3911e0ab2586fd864497297e575e6f3bc601c0883c30df5f4dd2d24f665424
+/*
+ * x25519.c: Bernstein's X25519 key-exchange function
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the test rig code: a replacement is in a separate source file.
+ *
+ * * Ignore the top bit of the input public key: in Secnet, conformance
+ * with RFC7748 is more valuable than flexibility.
+ *
+ * * Strip out the key-management definitions.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* The X25519 key-agreement algorithm
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
+#include "fake-mLib-bits.h"
#include "montladder.h"
#include "f25519.h"
#define A0 121665
-/*----- Key fetching ------------------------------------------------------*/
-
-const key_fetchdef x25519_pubfetch[] = {
- { "pub", offsetof(x25519_pub, pub), KENC_BINARY, 0 },
- { 0, 0, 0, 0 }
-};
-
-static const key_fetchdef priv[] = {
- { "priv", offsetof(x25519_priv, priv), KENC_BINARY, 0 },
- { 0, 0, 0, 0 }
-};
-
-const key_fetchdef x25519_privfetch[] = {
- { "pub", offsetof(x25519_priv, pub), KENC_BINARY, 0 },
- { "private", 0, KENC_STRUCT, priv },
- { 0, 0, 0, 0 }
-};
-
/*----- Main code ---------------------------------------------------------*/
/* --- @x25519@ --- *
const octet qx[X25519_PUBSZ])
{
uint32 kw[8];
+ uint8_t b[X25519_PUBSZ];
f25519 x1;
/* Load and clamp the key. The low bits are cleared to kill the small
kw[6] = LOAD32_L(k + 24); kw[7] = LOAD32_L(k + 28);
kw[0] &= 0xfffffff8; kw[7] = (kw[7]&0x3fffffff) | 0x40000000;
+ /* Copy the input point and clamp the top bit. */
+ memcpy(b, qx, sizeof(b)); b[31] &= 0x7f;
+ f25519_load(&x1, b);
+
/* And run the ladder. */
- f25519_load(&x1, qx);
#define MULA0(z, x) do { f25519_mulconst((z), (x), A0); } while (0)
MONT_LADDER(f25519, MULA0, kw, 8, 32, &x1, &x1);
#undef MULA0
+/*
+ * x25519.h: Bernstein's X25519 key-exchange function
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Strip out the key-management definitions.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* The X25519 key-agreement algorithm
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
-
-#ifndef CATACOMB_KEY_H
-# include "key.h"
-#endif
+#include "fake-mLib-bits.h"
/*----- Important constants -----------------------------------------------*/
extern const octet x25519_base[32];
-/*----- Key fetching ------------------------------------------------------*/
-
-typedef struct x25519_priv { key_bin priv, pub; } x25519_priv;
-typedef struct x25519_pub { key_bin pub; } x25519_pub;
-
-extern const key_fetchdef x25519_pubfetch[], x25519_privfetch[];
-#define X25519_PUBFETCHSZ 3
-#define X25519_PRIVFETCHSZ 6
-
/*----- Functions provided ------------------------------------------------*/
/* --- @x25519@ --- *
-### Tests for X448.
-
-x448 {
- ## These are taken from RFC7748.
-
- 3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3
- 06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086
- ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f;
- 203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f
- 0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db
- 884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d;
-
- 9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0;
- 1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609;
- 9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b
- 3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609
- 07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d;
- 1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d
- 9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0
- 07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d;
-}
-
-x448-mct {
- ## These are taken from RFC7748.
-
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 1 3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113;
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 1000 aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38;
-
- ## This one takes aaaaages.
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
- 1000000 077f453681caca3693198420bbe515cae0002472519b3e67661a7e89cab94695c8f4bcd66e61b9b9c946da8d524de3d69bd9d9d66b997e37;
-}
+### Test cases for arithmetic mod 2^448 - 2^224 - 1. -*-conf-*-
+
+###--------------------------------------------------------------------------
+test add
+
+## Some easy ones.
+x ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff
+y 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+z ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff
+
+x fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff
+y 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+z fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+x fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff
+y 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+z 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+## Random tests.
+x 6b3944398448a0a5f6c4e1be9abfcbb082b8f68f1c831d51ef2244f6e1a4c4baaf0ada769c1261b8e14b4856de381d69961078ea1949d39c
+y 62e933c5f93e57e042d66b89d3c72ee85441b1207732d888b3d6bc35f3bcef91a6f4564cb085fd3239191c2fe427dcdb0e81164d30ca8145
+z cd2278fe7d87f785399b4d486e87fa98d7f9a7b093b5f5d9a2f9002cd561b44c56ff30c34c985eeb1a656485c260f944a5918e374a1355e2
+
+x 34938a406030a285024e9ff0a45987b53accc9d5d59828de8b8e07ba693b64d1dd2c7a190e708253a9ae57572e44fa458c8f8ac87cd96037
+y 9d05863131328886c7203fe70924761e56244d40a04d4b5592f1c6a457b9d94fe950fb8a865f9091ba9223479f3e46680fb78ccddc776bf2
+z d298107291622a0cca6eded7ae7dfdd390f0161676e673331e80ce5ec2f43d21c77d75a494cf12e563417b9ecd8240ae9b4617965951cc29
+
+x 4e9cb6823482233daf59662d00212f2afe42183f8ce949b2e0ca5473e32ab647fe9bc1c472b2288715c0d5b118043fbc9aec782654363cdd
+y 6c62329ec8eb576b6866cb6af702b891dd2cd72d21c354ada34221141381acca066fb46a8fbce28df44f0ac8062e38847067b8639be867f8
+z bbfee820fd6d7ba817c03198f723e7bbdb6fef6cadac9e5f840d7687f7ab6212050b762f026f0b150a10e0791f3277400b54318aef1ea4d5
+
+x b46d33f24a69c2288bed34eb054d1fcd6244606cffca7d53ff4e68f113174655a9a72898ad2699fe49d069a0a84e077bf48205008dee04aa
+y 9abc68911a75a6a376837cc6fc0e18c63cfb81747a59ba1314412f032f8b2a2fc5dde29176d141e71dbc11aeb2ecb9a336c8467882a175ea
+z 4f2a9c8365de68cc0171b1b1025c37939f3fe2e079243867139097f443a270846e850b2a24f8dae5678c7b4e5b3bc11e2b4b4c780f907a94
+
+x 1195eae69f2bad43b7b8330395e41c811bae2f753f0a6727b9decd2e553dce743dbb568b45140c3a464c8646db12b3af18df328a95640706
+y 8fc020ba693b4014fbf4e9c64223a8c3234e1361b8e2a745e3897f582537e20417831c159c107451fec49b88c4cde774330d8986430b39e0
+z a0550ba10967ed57b2ad1dcad707c5443ffc42d6f7ec0e6d9c684d877a74b079543e73a0e124808b441122cf9fe09a244cecbb10d96f40e6
+
+x 4b25a323cba12b5d042369a065a3696c7613898205f7defd3ab15ec351ec9fe1ba453c8b9abf254ff793c92b1f77d5f23f7629c04ec5c70d
+y b12ee8f930b029e2e4b79b808566b88b8087a510e5f80751ffc8f5426709bc2b40608e3e769dbd97d37dfe8a36fd25fbc1efb2cd9eda09f2
+z fc538b1dfc51553fe9da0421eb0922f8f69a2e93eaefe64e3a7a5406b9f55b0dfba5cac9105de3e6ca11c8b65574fbed0166dc8ded9fd1ff
+
+x c441e6cebc634bd7de7de356e855528d52f4affae7cdd585352d94218ca171929b17b8f49ea294f5151a277c116519de5ff92ce4e2f6ce0a
+y 809617d4e40d53223f01887bfab5a7d2dc1eb4f680ae59981b33e11fe71345b3155f567cc867cd9e48c8b534870c7df49dff883c0900d8cd
+z 44d8fda2a1719ef91d7f6bd2e20bfa5f2f1364f1687c2f1e5160754173b5b645b1760e71670a62945ee2dcb0987196d2fdf8b520ecf6a6d8
+
+x a92361d9c458605877a6d9229128b1a52f7bab378d0d389568aae10d09d419b0e6436684b438abcaa3e1710efee5ecec1af06cf0c82b339d
+y 74bc6cd43025234b1a6e15fe2d4fab520c874af6f896b82ecb096b0ec3cf73ecf04ef1d13ca612ef0981b8aca0a769ae60202eca36410b0e
+z 1de0cdadf57d83a39114ef20bf775cf83b02f62d86a4f0c333b44c1ccca38d9cd7925756f1debdb9ad622abb9e8d569b7b109bbaff6c3eab
+
+x f0ed25db758767b83b1d5ab6f8bdbe8e263b18341ea296b2a5d27c0d928004d6c48695ac88af863ed12be6629d8a1b58ca83ddb4ff9c778b
+y 44998d5a87e29ace239af04334451efca0d8bb88b441140caab3e79da9c73f1354df0c4e2a8148141bb44c33eb63f1c0025ec2b289390e06
+z 3487b335fd6902875fb74afa2c03dd8ac713d4bcd2e3aabe4f8664ab3b4844e91866a2fab230cf52ecdf329688ee0c19cde19f6789d68591
+
+x 64429139cb6dd44a64984ac73cdf306354a32772da0724c647164d89218906de465c0c47f2841564fc69933d140088a02584bbeb7a138e7a
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+
+###--------------------------------------------------------------------------
+test sub
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+
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+
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+
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+
+###--------------------------------------------------------------------------
+test condswap
+
+x db0be3ccfda1e2f8492bffb5d3344f1856ff1896b6a067d2fa064423ac5b05b669db1c9b51899c44a7f470be4173856d9aa3d1cd10cb8c9b
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+m 0xffffffff
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+
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+m 0x00000000
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+
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+
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+m 0x00000000
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+
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+m 0x00000000
+xx de30072f175127ad4200a08099f4d0df0edfa40eb02e21a03c5628dcb2f70da8bce9ebbb1ebed2aca391e73a4114c06bcdbf762bf28777cf
+yy 5eaf3aecf1f7d1fd3b43be8fa450163c79f162b0c6eaa4b1ad39baaf3a4c36564e001c935fdce38e90789151beff0f3cc4fdfc2d86dcb587
+
+x 1bb20a5a05b190737ad6b2bc5bc2b9259fa7e36eac8f3032a7c56ed59c1510baaea32bba898b329b0c64fadbe454095b9f82b366bfae3d8b
+y cf0a87c8befed020caf82f37b4c5f17d2aa9ff8ab75baa156cfe2716ac1eaabf9bc760c2ddcd66a9d02a8384ad1db9e8f857b151d126e0ef
+m 0x00000000
+xx 1bb20a5a05b190737ad6b2bc5bc2b9259fa7e36eac8f3032a7c56ed59c1510baaea32bba898b329b0c64fadbe454095b9f82b366bfae3d8b
+yy cf0a87c8befed020caf82f37b4c5f17d2aa9ff8ab75baa156cfe2716ac1eaabf9bc760c2ddcd66a9d02a8384ad1db9e8f857b151d126e0ef
+
+x c186531a219344dc485cd5dad6500616ac8e0653693168573cb9be590b02dfb1ddc5d87d27f2d9fa46ffeda955a6285b7ef2b9bf84825d06
+y 91f3be7eb2e0be38d92974d81be5126ef40d358f242d23aa4863fb16ba3e8844e02edc87c0206e211587886ed532da0ab148cfcf64e9b58d
+m 0x00000000
+xx c186531a219344dc485cd5dad6500616ac8e0653693168573cb9be590b02dfb1ddc5d87d27f2d9fa46ffeda955a6285b7ef2b9bf84825d06
+yy 91f3be7eb2e0be38d92974d81be5126ef40d358f242d23aa4863fb16ba3e8844e02edc87c0206e211587886ed532da0ab148cfcf64e9b58d
+
+x 9f2476d6db424d19ee0cba4ed091da5b44ca63caf2f711eaeb7edcc75f49e0d0c367c1f2817b6bb39460f897432901064cabed7f6a03b1f0
+y 66e7dcd34d76a19e3285685112b7619f9a3557764a918922faf1370bb97c2b2fa845dd34662cfe7299ab702c68fd43b5f6f15a0af6625f2e
+m 0xffffffff
+xx 66e7dcd34d76a19e3285685112b7619f9a3557764a918922faf1370bb97c2b2fa845dd34662cfe7299ab702c68fd43b5f6f15a0af6625f2e
+yy 9f2476d6db424d19ee0cba4ed091da5b44ca63caf2f711eaeb7edcc75f49e0d0c367c1f2817b6bb39460f897432901064cabed7f6a03b1f0
+
+x f124ac31d304a29cdd94bdc0611c61064a7c5f09cf6847bccd52fc7a7b77ede73b42b1ef75f000de4361028e0fb63896f4ef5ad3bc1b9c90
+y 6629084a230c793086e469b9a01e052ad7a5680d6955667e0dfb19a250f447d9e238695400dc4ecaeefcebed44d374e57ec4e414f5629e63
+m 0x00000000
+xx f124ac31d304a29cdd94bdc0611c61064a7c5f09cf6847bccd52fc7a7b77ede73b42b1ef75f000de4361028e0fb63896f4ef5ad3bc1b9c90
+yy 6629084a230c793086e469b9a01e052ad7a5680d6955667e0dfb19a250f447d9e238695400dc4ecaeefcebed44d374e57ec4e414f5629e63
+
+x b64f2952510827bef3d32ef6347251274c7241d9913268a7a6a5c360a4b29e7ed04d09a9ee5aa83235eaf8c0582b076b21d78b7062952773
+y 77897028a9a81fd54362a6085aa2c2fd6fdd44589f447c7310b9b3b5a29b54ed15c57e2c9fbff16f20129a4dbd43640a0d1037e277ca5c93
+m 0xffffffff
+xx 77897028a9a81fd54362a6085aa2c2fd6fdd44589f447c7310b9b3b5a29b54ed15c57e2c9fbff16f20129a4dbd43640a0d1037e277ca5c93
+yy b64f2952510827bef3d32ef6347251274c7241d9913268a7a6a5c360a4b29e7ed04d09a9ee5aa83235eaf8c0582b076b21d78b7062952773
+
+x 4d75efd204a66aed323456e6f55cb891ee7a31d739ae89726e0ea84532f9c740d1b647b117094fb85da2c62da04f3b9cb13db6b840046b7c
+y 0afd07bb073a150e7b82711e1f42f7b0789af8192ea6b4e1b24a3d48de7f8b802875aca5a02a9d24deca0b58c895992a449d01026495b96c
+m 0x00000000
+xx 4d75efd204a66aed323456e6f55cb891ee7a31d739ae89726e0ea84532f9c740d1b647b117094fb85da2c62da04f3b9cb13db6b840046b7c
+yy 0afd07bb073a150e7b82711e1f42f7b0789af8192ea6b4e1b24a3d48de7f8b802875aca5a02a9d24deca0b58c895992a449d01026495b96c
+
+x 1ff4eb5f0280744f0c909cede8be29cccb8ae43e4626018a9a1d352a97d987678863ba34bdeb183bb5e9347e96760665f5881570778a2e19
+y 49cd390a9edc7fad6c84c2e44ce09e490161094d2dc6cad30759fbef10aa30e5aa6474bc46571188418f3e4a2b19ecfc379a1f94e3a44e48
+m 0x00000000
+xx 1ff4eb5f0280744f0c909cede8be29cccb8ae43e4626018a9a1d352a97d987678863ba34bdeb183bb5e9347e96760665f5881570778a2e19
+yy 49cd390a9edc7fad6c84c2e44ce09e490161094d2dc6cad30759fbef10aa30e5aa6474bc46571188418f3e4a2b19ecfc379a1f94e3a44e48
+
+x e96c0316baf01c25ef8a41c02e99aa84c82f8eecd3249be268834afb5f7e95f0ad10bfad4160bb335c30ffd6a1090c91c57eb6ac7a7a5e66
+y 115e6f115bc4e19af60710f3dd821fb58cb680a32d6973eae9ea3e48f1928dc1d9f684a8c8de80affc59bc0fb342bb040f89d2d46b8ff8fc
+m 0x00000000
+xx e96c0316baf01c25ef8a41c02e99aa84c82f8eecd3249be268834afb5f7e95f0ad10bfad4160bb335c30ffd6a1090c91c57eb6ac7a7a5e66
+yy 115e6f115bc4e19af60710f3dd821fb58cb680a32d6973eae9ea3e48f1928dc1d9f684a8c8de80affc59bc0fb342bb040f89d2d46b8ff8fc
+
+x 71bd8f5036da4c33f6940348ea448c2f9bccb152dab40b410bd695923a9e255b33aaf361055be4bb9a570e201dce784cc1ccb0f89faca85f
+y 971b2f6569ddd9099a87ec4086d8218abcfbe81579f25f03634e471170a5088f48a6cfd09ed9e389ca37b780165c00b206304229135b6044
+m 0xffffffff
+xx 971b2f6569ddd9099a87ec4086d8218abcfbe81579f25f03634e471170a5088f48a6cfd09ed9e389ca37b780165c00b206304229135b6044
+yy 71bd8f5036da4c33f6940348ea448c2f9bccb152dab40b410bd695923a9e255b33aaf361055be4bb9a570e201dce784cc1ccb0f89faca85f
+
+x 0f1165e19968f3e6159e9f7f843c1b849e5c3917af4e2798869112c6efca9993ed339c8495eec8c54b286820bf7befdc8ae344e4d309c077
+y 7ce5a2ae66b9bddd30c98d9aa9fcdd6ef90d244d10115d15cf5d81e9e389f6852b153a42c642447043fcfd278166b92c624508973449b0e8
+m 0xffffffff
+xx 7ce5a2ae66b9bddd30c98d9aa9fcdd6ef90d244d10115d15cf5d81e9e389f6852b153a42c642447043fcfd278166b92c624508973449b0e8
+yy 0f1165e19968f3e6159e9f7f843c1b849e5c3917af4e2798869112c6efca9993ed339c8495eec8c54b286820bf7befdc8ae344e4d309c077
+
+x 6dd07b4891d8f45ad1ee64da38383ec50d6f29634767607eca19a547cadc3c157ebe7d86a28d4d2fa2d40f2c5402d8b338cfd8d30aeadb6a
+y 63da9a5a0cd51e58168ddb305c0e70a2f898279dae6394e1b3e1ef3a0763847d5d2f15be493114360204d037d7d3c3a9e746d27dcb544ded
+m 0xffffffff
+xx 63da9a5a0cd51e58168ddb305c0e70a2f898279dae6394e1b3e1ef3a0763847d5d2f15be493114360204d037d7d3c3a9e746d27dcb544ded
+yy 6dd07b4891d8f45ad1ee64da38383ec50d6f29634767607eca19a547cadc3c157ebe7d86a28d4d2fa2d40f2c5402d8b338cfd8d30aeadb6a
+
+x d91228b648f75350d775432af35be9aa283e9729fcd3b689f0c7ee02ea67efd33493980ae5eec92ad6ab42ccd253a7aab5a62c26be275278
+y 07c5d1b4f9b8db88cd4187b1ae5e175bf703af12b26d066c1d55dd367569d3e23e3d0470f3c47e6761746ce7de39cf563500d026a6791980
+m 0xffffffff
+xx 07c5d1b4f9b8db88cd4187b1ae5e175bf703af12b26d066c1d55dd367569d3e23e3d0470f3c47e6761746ce7de39cf563500d026a6791980
+yy d91228b648f75350d775432af35be9aa283e9729fcd3b689f0c7ee02ea67efd33493980ae5eec92ad6ab42ccd253a7aab5a62c26be275278
+
+x f9e764e20657319802b53ee29df43b0d83d994d9049b9820fc0c31b631265c49f6613923a042eadce5902fb81753784ff5a9c0de2c4f6b12
+y 6ab2f8279e82aa65e8326e5c60bfa067e4967b3ea67d0369853282e5429736529a43eeee3fdf24ebbe5ca85b59647994fc99c90da83c6229
+m 0xffffffff
+xx 6ab2f8279e82aa65e8326e5c60bfa067e4967b3ea67d0369853282e5429736529a43eeee3fdf24ebbe5ca85b59647994fc99c90da83c6229
+yy f9e764e20657319802b53ee29df43b0d83d994d9049b9820fc0c31b631265c49f6613923a042eadce5902fb81753784ff5a9c0de2c4f6b12
+
+x 772289865ac905fac203e4654b258890ddb91cac71c6d2af3826e3acfebfa222c937b40069ce3a757e2ffd960b5821ed1ad54e4ad2e3c6fd
+y 58dbf838ab81a754533c7f80fea48cbc981f724e4c150ddbb0afb5c711a8e21079446f77c427f7eb1892c096fa3eae5e2b070413611cd184
+m 0xffffffff
+xx 58dbf838ab81a754533c7f80fea48cbc981f724e4c150ddbb0afb5c711a8e21079446f77c427f7eb1892c096fa3eae5e2b070413611cd184
+yy 772289865ac905fac203e4654b258890ddb91cac71c6d2af3826e3acfebfa222c937b40069ce3a757e2ffd960b5821ed1ad54e4ad2e3c6fd
+
+x 0bd6656d68c41bfc5389db274367f69191754919435ba58d2256017b5bc595d102c6f4f745b3ceb0c32bd0a6cdadded3a3dc925ef2b5c73c
+y 1d903009c74d3d135a192bd42466cd28303f482626a7d10832f1f6eae72c3b051b0373e62300a71226011475034f0bfc6c9a65601bb83993
+m 0xffffffff
+xx 1d903009c74d3d135a192bd42466cd28303f482626a7d10832f1f6eae72c3b051b0373e62300a71226011475034f0bfc6c9a65601bb83993
+yy 0bd6656d68c41bfc5389db274367f69191754919435ba58d2256017b5bc595d102c6f4f745b3ceb0c32bd0a6cdadded3a3dc925ef2b5c73c
+
+###--------------------------------------------------------------------------
+test mulconst
+
+x cb908747a1af81f52715ef8440aed06aaacbcd7903c99cdecef5ec54e7845bedaad6475028b0cbdb0d53b6eeb71843f900fefd398a083d5a
+a -417895
+z e95e64fd1b2e2e79d1bfef5c96942eaf7ca5d40b1af774ed9c4ea2351c8ae81013f896bafd1f0b0e3a3c2ca3347c6cf88f988877af5e009b
+
+x 46b23d83c0848e79af947191cb76b087483beec6224af749e59c0c5ae27ff8abada31da895f8132aae0457f5ddc30d18a8d52046fbe6ef55
+a 384370
+z 31c9bf2f3bdfd3c1dc115db96d7a1c15e2a9ae67dfebccddc9408a0dcd147d9aa62ce4a55a2d6ad54542317756a08d6be3b959bf132624e2
+
+x 53e19751de62909506bebf74411d359014ec4b6afbb8ce14eeed8a3938013f0fee6897e3cc3adcbc90d7df321c4caa1941d0e5909551335d
+a -49682
+z 82fb902a8992ec1032a6837cec56189c45d1c1fdc47748e17dd9ecabc807a52eb537d6411f99f4d3b328e7ca76475924f90506a8adeb908e
+
+x 7ff3b9b3d8ee248a48d0c8d308d8c3658374acc92303143061a46656ae2b35094ed7b5b27d23366c0e42ee0a9471a4355d81cda0e4390348
+a 131908
+z adbb3dd21e634dfe2c41593c65249f03a048338037d4a107892df36f10e3ff68402d6f48e74bc7a7858f2c3650fd2a10acdfd4213850529e
+
+x f532f4f5ab5447b083ee4225246aaa4448696e4fc8bcf5b0ec1b52df88354e5327d7a3cf6e15db9945205968c275755ea3906a27437d29ed
+a 383911
+z 1f42b3585a2553ab19b14639c3e3aca636d88053c70fb758962713783bcd824b729fb4d01dd56a344d991bf2d32a2967acf470b39bee88a6
+
+x ef0e2a829097e50575eae6b1ad3fa10b8e417b0363654e0cb07a563a905c02e367c6f1ad7be1469b9f5295e3db0726853adffb820715f7d1
+a -226220
+z a7c5387af1b9f61f09d628feac1a050173021386775c9f534557b8841b812155325e3632eee7a2302ef8af0b4746575d6c2bcf3b29f674b0
+
+x 3b4655b1c22542ca413f76bc24751a01cdab6b385b50301d67fd62ba31ad132150e38e12a849405112c4742e93b92849bd8b872c29edb2f9
+a -89924
+z b51c0dfa2407a89435fedbcfd7835b6e0849d8626995fd00974f44c49d794d3c5dc16028e9fdee45bbcd269035e8bdba695a6653028d4d59
+
+x 48bdc2073bff25ae9bf7fcc368d65602a71e48c343bc7181c361331f108867d56c588f698aa5b91222f5dbbc859bce656f2607b053222fc7
+a 66432
+z e845dfe65d563884074ffeecaa325706df4a129b73b056cab6ad999588216d72525222ce00ce4d2ffb09fcf6f010a6eeb2eb753fefd44b47
+
+x 98a26f23f83673a480076b2fc7ccfef07fbbe70c4160d5af638c345f7d17b00931efff543fd47b7b8b362a70657a458566ada4aefd1c5eaf
+a 492192
+z 0ef483482255b5ca0f8338317f6eaf9c4fbf8bde8b8b04e26d2cdc0632186f1e62a9c3a1be23e8dc444ce50783135aeca614c884bdb77a30
+
+x 6ebf7c4e06837120cc852a077945656046e64c2d88ce440bdfc8d38736a4d510a722bc8b0d225f11df0e704e4b04c48bf481da68fd1e150e
+a -7098
+z 8d4e2cd12323b5744442fe4e4fc21748b344d7f94794398ec187f0f986ee743cd733a7a16bd4495818ab033103f020c794c988c5d2c1628a
+
+x 94e49f2bb473a7273abed94363c4dc3d13db159e3c3698a62ce5f321252aa03c7f63dd6eff9529c985f43abc7283d11140cb44ff6fd0f3d3
+a -392951
+z 58a606cdc1bf1d5646fc08c7a6b3336fbe532c823c70242ea7536cc6dcdde7c4f492306e39ac0fb88367e41d63a8305d69fab57a52c8c284
+
+x cd262298ce3b73294bfb523c30206fc3771144890a0ebcef19e02e5085973a6aeefabdf8cb7186d57be38ee84b114b9a7a22556c0cf88df1
+a -237681
+z 7553420c53b255fb909d6e9008f043e7af25a2a9c29b177b830ff1ae6f6fdcb6aefb8386465f24634fb04c6078322ac691586f91cf7928bd
+
+x cc9bd2e72ce15dd50877f95812b65c65cf09b14e2817784a5b296c123e498c532362180a932a455b2ddb75e26335dbcb21eb94a90ebb6940
+a 246794
+z 8838e720b6e497d9cde9fbddc2333c13cb5bdbbbe5afe41ffd61f5035c8c4987fddb8036c25b0505765bf1a5aa369c6bf7723c65278584a8
+
+x d8ab6b8f3523e98f49140e051c0b744bb0068d20f499c0763aa28ec1d1dd7e86356f357149c317376be96cd520b3ae04a2c4d468d74745e8
+a -360296
+z 4c0bc5f6fc52c6302b74c790d57ccc8fae59f2aeebb59c3393c56e70060f4d170ea41354f5040804a6e8dcb4a7c585ee71a6d90454e701de
+
+x 6036fbfb9fcc223a1776ec67c9424788aabe553a7d6a0472159edc747ebaf97e99f7263ece635ef0b702a3610aef32e17f59fae503e18d74
+a -5433
+z f6fa9a49b55077330fcda976a19ba7cfd98e44fa54044840df0ae9e19710193e684703f7fadbcbbc534e7be3adec0cae0d95ea414494f368
+
+x a3433dfc89ec4d6d858bb5b018e2d474b7de7604ed4491957fe16453d3793740ef88136814f59b19ed3610252e74cbc3a36571d02e57913b
+a 237641
+z 7a01a802b7a5aca44675887d9cf94d04d4893e2dc5d7474090cb32798fa370690255f57d18dce2a57126bb5883672b5a74a1c780f48f7bd8
+
+x c17ecc6099e9630a4ec20f4199abe1c10d414f6d734014ada1e6f097090a2bb4e638fb52d9bf56080d77c2b535f52cb091cbaad3c65072e8
+a 517226
+z 708adeac4ff99cac4c3eb649d55276f58a7d21a0507af176a53893c567050d352af501a9c242baf53121e8b56f5679b175dc01538350b644
+
+x 134263fd765e5f1da64900df5643c5241d4fa8a9e96ee59f01667b64f9122e85e995b90d4bf5d5fe9f68825dfa6edd19d8ce009270ae2984
+a 390674
+z 2ffbda7ccbeecd8dc4600965679146753c496d35bfa546e13edbbaa259065b024c8aaa3a17a3384f4f14d5ee01371ac55fb50a153b4ac1c0
+
+x 54326fffef9f0fe1207a07c8ac063d64b3fe81528e005f857319a74da2c3423a552b05f8c465908b028a2dcf15cb7158c99a1d2bdfd890da
+a -255467
+z e554e875e480c68c4fd780425ff8fb50f18bbafd0536a09489bc7cf197fdcb80dd4c7e31447a1a862066b6761ea39ea3b8c3002039c86b40
+
+x 5c30f73ec3addb2d27e0e79579063f2d30fa9fb47c2b6a3a32553120a047cad83abc901e5a5b4a65f8e51144f7eb0abec9a4d105236b2618
+a -466309
+z 5ec894f6abe2d88971da11b982c3322d1f533a326057816f6273585bfa186a7f569ddf93c27e8e74719ddb515689d5935c56e6b86936f22b
+
+###--------------------------------------------------------------------------
+test mul
+
+## Easy tests.
+x 0300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+y 0200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+z 0600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+x f7ffffdfffffff00000050000000000000a0ffffff03000090fffffffbffffafffffff00000020000000fdffff9ffffffff9ffff7fffffff
+y ffffffffffffff01000030000000ffffff2f00000002000030000000ffffff5f000000fbfffffffffffffcffff4f000000ffffffefffffff
+z bfffff6f02000083ffff5f010000a1ffff9ffcffffc0ffff6ffdffffc4ffffff02000082ffff8f03000089ffff6ffaffff7cffffff000000
+
+x f8ff7ffeff5f00001000000800000300000100a0ffffafffff130000fbffff0100000000e0ffffebffffffff7ffffffffeff1f0000080000
+y f7ff7f0200e0ffffefffff070000faff7ffefffffefffffffff7ffff040080ffff1fffff8ffffff7ffff0500800200000000f0fffffbffff
+z 0a0100240020f5ff7ffdff4fffff4100003a00201400400300a8feff030180e6fffff9ff8f02003001002c0000f0ff9f0600d0f8ff670200
+
+## Random tests.
+x 94aa99eaba90c5eb2efd7101c8efeffc1e44c8fcd84ccb8ef27b9792ae12534c0a250e5400407177bd655e51c343f776a3fd26474da4dc74
+y 284a0f7df2d7d7c760cc57b1606625884c1643020230a9eecca7de6098f5338ddf9297daecae8a07e199494cb6db91c2c683566bf79545d2
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+
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+###--------------------------------------------------------------------------
+test sqr
+
+## Easy tests.
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+## Random tests.
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+
+###--------------------------------------------------------------------------
+test inv
+
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+x 1773dc978cd9f94186b83fd5e10a456b48058acd9e3bbacbecee2cfd0f8303c64721ca64c2913d57764336ea055700c2fcafc60d9f4b817e
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+x 6b006d36f60750bb5c59f6eb31e2efe6098ab67de7a7a8a27201652380a295c408ec78351c2a799d62227dffd4731b7605e5c462dce2c1e8
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+x 700cb76911e718ce8829f8d767c53e333dd2f7f20d2c020d1da3cc9ce96b9f6c7aad67450d5aab8f8c60e8ad77d4b5fdb86fae92a0ac30fe
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+x 0c909e0326649d4d375452c5b233a86e90b0fa88b20aa54e02685edd02b70aa022ed8af31e994b70b20101a5cfd8e16ba53c702840b4a16b
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+
+x 4529761361781e67037eae69c5ca9977b1e21468834eb83cd369471e5092249015cd263563bff9348a0f51e4a8517e27236ed1ecfe30a780
+z e20d5896be18bb273bb0ba84f6c070de45378bac6d793685e654764e5aa847d48403a68560b48dcb12573ac737366ae701072300615b4659
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+x 6fae83f7eadeaca22b6781f400b01f9de186b12e31fdf56e0ebe98a8420baacf5069ffdf26d0215c16b64027dd69ff29709a64cfe8f52dcb
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+x 23ca16e8b4c15f8f2b216441d851368d185a7f8587f398b0cf775875678241094538708da0cb2260c5e056b59c003c30c8f84f5088d0c99c
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+
+###--------------------------------------------------------------------------
+test xdh
+
+## These are taken from RFC7748.
+
+k 3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3
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+
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+
+
+k 9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b
+X 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+Z 9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0
+
+k 1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d
+X 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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+
+k 9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b
+X 3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609
+Z 07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d
+
+k 1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d
+X 9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0
+Z 07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d
+
+###--------------------------------------------------------------------------
+test xdh-mct
+
+## These are taken from RFC7748.
+
+k 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+X 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+n 1
+Z 3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113
+
+k 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+X 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+n 1000
+Z aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38
+
+## This one takes aaaaages.
+##k 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+##X 0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+##n 1000000
+##Z 077f453681caca3693198420bbe515cae0002472519b3e67661a7e89cab94695c8f4bcd66e61b9b9c946da8d524de3d69bd9d9d66b997e37
+/*
+ * x448.c: Hamburg's X448 key-exchange function
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Remove the test rig code: a replacement is in a separate source file.
+ *
+ * * Strip out the key-management definitions.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* The X448 key-agreement algorithm
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
+#include "fake-mLib-bits.h"
#include "montladder.h"
#include "fgoldi.h"
#define A0 39081
-/*----- Key fetching ------------------------------------------------------*/
-
-const key_fetchdef x448_pubfetch[] = {
- { "pub", offsetof(x448_pub, pub), KENC_BINARY, 0 },
- { 0, 0, 0, 0 }
-};
-
-static const key_fetchdef priv[] = {
- { "priv", offsetof(x448_priv, priv), KENC_BINARY, 0 },
- { 0, 0, 0, 0 }
-};
-
-const key_fetchdef x448_privfetch[] = {
- { "pub", offsetof(x448_priv, pub), KENC_BINARY, 0 },
- { "private", 0, KENC_STRUCT, priv },
- { 0, 0, 0, 0 }
-};
-
/*----- Main code ---------------------------------------------------------*/
/* --- @x448@ --- *
+/*
+ * x448.h: Hamburg's X448 key-exchange function
+ */
+/*
+ * This file is Free Software. It has been modified to as part of its
+ * incorporation into secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the permissive licence shown below.
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+/*
+ * Imported from Catacomb, and modified for Secnet (2017-04-30):
+ *
+ * * Use `fake-mLib-bits.h' in place of the real <mLib/bits.h>.
+ *
+ * * Strip out the key-management definitions.
+ *
+ * The file's original comment headers are preserved below.
+ */
/* -*-c-*-
*
* The X448 key-agreement algorithm
/*----- Header files ------------------------------------------------------*/
-#include <mLib/bits.h>
-
-#ifndef CATACOMB_KEY_H
-# include "key.h"
-#endif
-
-/*----- Key fetching ------------------------------------------------------*/
-
-typedef struct x448_priv { key_bin priv, pub; } x448_priv;
-typedef struct x448_pub { key_bin pub; } x448_pub;
-
-extern const key_fetchdef x448_pubfetch[], x448_privfetch[];
-#define X448_PUBFETCHSZ 3
-#define X448_PRIVFETCHSZ 6
+#include "fake-mLib-bits.h"
/*----- Important constants -----------------------------------------------*/
--- /dev/null
+/*
+ * xdh-test.c: test harness elliptic-curve Diffie--Hellman
+ *
+ * (The implementations originally came with different test arrangements,
+ * with complicated external dependencies. This file replicates the original
+ * tests, but without the dependencies.)
+ */
+/*
+ * This file is Free Software. It was originally written for secnet.
+ *
+ * Copyright 2017 Mark Wooding
+ *
+ * You may redistribute secnet as a whole and/or modify it under the
+ * terms of the GNU General Public License as published by the Free
+ * Software Foundation; either version 3, or (at your option) any
+ * later version.
+ *
+ * You may redistribute this file and/or modify it under the terms of
+ * the GNU General Public License as published by the Free Software
+ * Foundation; either version 2, or (at your option) any later
+ * version.
+ *
+ * This software is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this software; if not, see
+ * https://www.gnu.org/licenses/gpl.html.
+ */
+
+#include <assert.h>
+#include <errno.h>
+#include <ctype.h>
+#include <stdarg.h>
+#include <stdint.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "secnet.h"
+
+#include "f25519.h"
+#include "fgoldi.h"
+
+#include "x25519.h"
+#include "x448.h"
+
+#define GLUE(x, y) GLUE_(x, y)
+#define GLUE_(x, y) x##y
+#define FIELDOP(op) GLUE(FIELD, _##op)
+
+#define f25519_FESZ 32u
+#define fgoldi_FESZ 56u
+
+/* Define some global variables we shouldn't need.
+ *
+ * Annoyingly, `secnet.h' declares static pointers and initializes them to
+ * point to some external variables. At `-O0', GCC doesn't optimize these
+ * away, so there's a link-time dependency on these variables. Define them
+ * here, so that `f25519.c' and `f448.c' can find them.
+ *
+ * (Later GCC has `-Og', which optimizes without making debugging a
+ * nightmare, but I'm not running that version here. Note that `serpent.c'
+ * doesn't have this problem because it defines its own word load and store
+ * operations to cope with its endian weirdness, whereas the field arithmetic
+ * uses `unaligned.h' which manages to include `secnet.h'.)
+ */
+uint64_t now_global;
+struct timeval tv_now_global;
+
+union reg {
+ long i;
+ unsigned long u;
+ uint8_t fe[FIELDOP(FESZ)];
+};
+
+struct regty {
+ void (*parse)(union reg *r, char *p);
+ void (*dump)(FILE *fp, const union reg *r);
+ int (*eq)(const union reg *r, const union reg *rr);
+};
+
+struct regdef {
+ const char *name;
+ const struct regty *ty;
+ int r;
+};
+
+struct test {
+ const char *name;
+ void (*fn)(union reg *out, const union reg *in);
+ const struct regdef *regs;
+};
+
+static int lno;
+
+static void bail(const char *msg, ...)
+{
+ va_list ap;
+ va_start(ap, msg);
+ fprintf(stderr, "unexpected error (line %d): ", lno);
+ vfprintf(stderr, msg, ap);
+ va_end(ap);
+ fputc('\n', stderr);
+ exit(3);
+}
+
+static void parse_hex(uint8_t *b, size_t sz, char *p)
+{
+ size_t n = strlen(p);
+ unsigned i;
+ char bb[3];
+
+ if (n%2) bail("bad hex (odd number of nibbles)");
+ else if (n/2 != sz) bail("bad hex (want %zu bytes, found %zu", sz, n/2);
+ while (sz) {
+ for (i = 0; i < 2; i++) {
+ if (!isxdigit((unsigned char)p[i]))
+ bail("bad hex digit `%c'", p[i]);
+ bb[i] = p[i];
+ }
+ bb[2] = 0;
+ p += 2;
+ *b++ = strtoul(bb, 0, 16); sz--;
+ }
+}
+
+static void dump_hex(FILE *fp, const uint8_t *b, size_t sz)
+ { while (sz--) fprintf(fp, "%02x", *b++); fputc('\n', fp); }
+
+static void parse_int(union reg *r, char *p)
+{
+ char *q;
+
+ errno = 0;
+ r->i = strtol(p, &q, 0);
+ if (*q || errno) bail("bad integer `%s'", p);
+}
+
+static void dump_int(FILE *fp, const union reg *r)
+ { fprintf(fp, "%ld\n", r->i); }
+
+static int eq_int(const union reg *r, const union reg *rr)
+ { return (r->i == rr->i); }
+
+static const struct regty regty_int = { parse_int, dump_int, eq_int };
+
+static void parse_uint(union reg *r, char *p)
+{
+ char *q;
+
+ errno = 0;
+ r->u = strtoul(p, &q, 0);
+ if (*q || errno) bail("bad integer `%s'", p);
+}
+
+static void dump_uint(FILE *fp, const union reg *r)
+ { fprintf(fp, "%lu\n", r->u); }
+
+static int eq_uint(const union reg *r, const union reg *rr)
+ { return (r->u == rr->u); }
+
+static const struct regty regty_uint = { parse_uint, dump_uint, eq_uint };
+
+static void parse_fe(union reg *r, char *p)
+ { parse_hex(r->fe, sizeof(r->fe), p); }
+
+static void dump_fe(FILE *fp, const union reg *r)
+ { dump_hex(fp, r->fe, sizeof(r->fe)); }
+
+static int eq_fe(const union reg *r, const union reg *rr)
+ { return (memcmp(r->fe, rr->fe, sizeof(r->fe)) == 0); }
+
+static const struct regty regty_fe = { parse_fe, dump_fe, eq_fe };
+
+enum {
+ RZ, RXX = RZ, RYY, NROUT,
+ RX = NROUT, RY, RA = RY, RK = RY, RM, RN = RM, NREG
+};
+
+#define BINOP(op) \
+ static void test_##op(union reg *out, const union reg *in) \
+ { \
+ FIELD x, y, z; \
+ \
+ FIELDOP(load)(&x, in[RX].fe); \
+ FIELDOP(load)(&y, in[RY].fe); \
+ FIELDOP(op)(&z, &x, &y); \
+ FIELDOP(store)(out[RZ].fe, &z); \
+ }
+
+#define UNOP(op) \
+ static void test_##op(union reg *out, const union reg *in) \
+ { \
+ FIELD x, z; \
+ \
+ FIELDOP(load)(&x, in[RX].fe); \
+ FIELDOP(op)(&z, &x); \
+ FIELDOP(store)(out[RZ].fe, &z); \
+ }
+
+BINOP(add)
+BINOP(sub)
+BINOP(mul)
+UNOP(sqr)
+UNOP(inv)
+
+static void test_mulconst(union reg *out, const union reg *in)
+{
+ FIELD x, z;
+
+ FIELDOP(load)(&x, in[RX].fe);
+ FIELDOP(mulconst)(&z, &x, in[RA].i);
+ FIELDOP(store)(out[RZ].fe, &z);
+}
+
+static void test_condswap(union reg *out, const union reg *in)
+{
+ FIELD x, y;
+
+ FIELDOP(load)(&x, in[RX].fe);
+ FIELDOP(load)(&y, in[RY].fe);
+ FIELDOP(condswap)(&x, &y, in[RM].u);
+ FIELDOP(store)(out[RXX].fe, &x);
+ FIELDOP(store)(out[RYY].fe, &y);
+}
+
+static void test_xdh(union reg *out, const union reg *in)
+ { XDH(out[RZ].fe, in[RK].fe, in[RX].fe); }
+
+static void test_xdhmct(union reg *out, const union reg *in)
+{
+ uint8_t b0[FIELDOP(FESZ)], b1[FIELDOP(FESZ)], *k = b0, *x = b1, *t;
+ unsigned long i, n;
+
+ memcpy(b0, in[RK].fe, sizeof(b0));
+ memcpy(b1, in[RX].fe, sizeof(b1));
+ n = in[RM].u;
+ for (i = 0; i < n; i++) {
+ XDH(x, k, x);
+ t = x; x = k; k = t;
+ }
+ memcpy(out[RZ].fe, k, sizeof(b0));
+}
+
+#define REG_X { "x", ®ty_fe, RX }
+#define REG_Y { "y", ®ty_fe, RY }
+#define REG_A { "a", ®ty_int, RA }
+#define REG_M { "m", ®ty_uint, RM }
+#define REG_XX { "xx", ®ty_fe, RXX }
+#define REG_YY { "yy", ®ty_fe, RYY }
+#define REG_Z { "z", ®ty_fe, RZ }
+#define REG_BIGX { "X", ®ty_fe, RX }
+#define REG_BIGZ { "Z", ®ty_fe, RZ }
+#define REG_K { "k", ®ty_fe, RK }
+#define REG_N { "n", ®ty_uint, RN }
+#define REGLIST_END { 0 }
+static const struct regdef
+ unop_regs[] = { REG_X, REG_Z, REGLIST_END },
+ binop_regs[] = { REG_X, REG_Y, REG_Z, REGLIST_END },
+ mulconst_regs[] = { REG_X, REG_A, REG_Z, REGLIST_END },
+ condswap_regs[] = { REG_X, REG_Y, REG_M, REG_XX, REG_YY, REGLIST_END },
+ xdh_regs[] = { REG_K, REG_BIGX, REG_BIGZ, REGLIST_END },
+ xdhmct_regs[] = { REG_K, REG_BIGX, REG_N, REG_BIGZ, REGLIST_END };
+
+static const struct test tests[] = {
+ { "add", test_add, binop_regs },
+ { "sub", test_sub, binop_regs },
+ { "condswap", test_condswap, condswap_regs },
+ { "mulconst", test_mulconst, mulconst_regs },
+ { "mul", test_mul, binop_regs },
+ { "sqr", test_sqr, unop_regs },
+ { "inv", test_inv, unop_regs },
+ { "xdh", test_xdh, xdh_regs },
+ { "xdh-mct", test_xdhmct, xdhmct_regs },
+ { 0 }
+};
+
+static int check(const struct test *test, unsigned iat,
+ union reg *out, const union reg *in)
+{
+ const struct regdef *rdef;
+ int ok = 1;
+
+ if (!iat) return (0);
+ assert(test);
+ for (rdef = test->regs; rdef->name; rdef++)
+ if (!(iat & (1 << rdef->r)))
+ bail("register `%s' not set", rdef->name);
+ test->fn(out, in);
+ for (rdef = test->regs; rdef->name; rdef++) {
+ if (rdef->r >= NROUT) continue;
+ if (!rdef->ty->eq(&in[rdef->r], &out[rdef->r])) ok = 0;
+ }
+ if (ok) return (0);
+
+ fprintf(stderr, "failed `%s'\n", test->name);
+ for (rdef = test->regs; rdef->name; rdef++) {
+ if (rdef->r >= NROUT) {
+ fprintf(stderr, "\tinput `%s' = ", rdef->name);
+ rdef->ty->dump(stderr, &in[rdef->r]);
+ } else {
+ fprintf(stderr, "\texpected `%s' = ", rdef->name);
+ rdef->ty->dump(stderr, &in[rdef->r]);
+ fprintf(stderr, "\tcomputed `%s' = ", rdef->name);
+ rdef->ty->dump(stderr, &out[rdef->r]);
+ }
+ }
+ return (-1);
+}
+
+int main(void)
+{
+ char linebuf[256];
+ char *p;
+ const char *q;
+ size_t n;
+ unsigned iat = 0, rbit;
+ const struct test *test = 0;
+ union reg in[NREG], out[NROUT];
+ const struct regdef *rdef;
+ int rc = 0;
+
+ lno = 0;
+ while (fgets(linebuf, sizeof(linebuf), stdin)) {
+ lno++;
+ n = strlen(linebuf); assert(n);
+ if (linebuf[n - 1] != '\n') bail("line too long");
+ linebuf[n - 1] = 0;
+ p = linebuf;
+ while (isspace((unsigned char)*p)) p++;
+ if (*p == '#') continue;
+ if (!*p) {
+ if (check(test, iat, out, in)) rc = 2;
+ iat = 0;
+ continue;
+ }
+ q = p;
+ while (*p && !isspace((unsigned char)*p)) p++;
+ if (!*p) bail("missing argument");
+ *p++ = 0;
+ while (isspace((unsigned char)*p)) p++;
+ if (strcmp(q, "test") == 0) {
+ if (check(test, iat, out, in)) rc = 2;
+ iat = 0;
+ for (test = tests; test->name; test++)
+ if (strcmp(p, test->name) == 0) goto found_test;
+ bail("unknown test `%s'", p);
+ found_test:
+ continue;
+ }
+ if (!test) bail("no test defined yet");
+ for (rdef = test->regs; rdef->name; rdef++)
+ if (strcmp(q, rdef->name) == 0) goto found_reg;
+ bail("unknown register `%s'", q);
+ found_reg:
+ rbit = 1 << rdef->r;
+ if (iat & rbit)
+ bail("register `%s' already set", rdef->name);
+ rdef->ty->parse(&in[rdef->r], p);
+ iat |= rbit;
+ }
+ if (check(test, iat, out, in)) rc = 2;
+ return (rc);
+}
~mdw / secnet / commitdiff