git.distorted.org.uk Git - u/mdw/catacomb/blob - math/t/group

   1 # Test group abstraction, and a bunch of other things.
   2
   3 check {
   4   "prime { 29, 7, 16 }" "ok";
   5   "prime { 29, 6, 5 }" "not a subgroup";
   6   "prime { 21, 2, 2 }" "p is not prime";
   7   "prime { 29, 14, 9 }" "group order not prime";
   8
   9   "ec { secp224r1 }" "ok";
  10
  11   "prime { catacomb-ll-160-1024 }" "ok";
  12
  13   "ec {
  14      prime:
  15        0xdb7c2abf62e35e668076bead208b
  16      primeproj:
  17        0xdb7c2abf62e35e668076bead2088, 0x659ef8ba043916eede8911702b22
  18      0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500
  19      0xdb7c2abf62e35e7628dfac6561c5 * 1
  20   }" "ok";
  21
  22   "ec {
  23      prime:
  24        0xdb7c2abf62e35e668076bead208b
  25      primeproj:
  26        0xdb7c2abf62e35e668076bead2088, 0x659ef8ba043916eede8911702b22
  27        0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500
  28        0xdb7c2abf62e35e7628dfac6561c5 * 2
  29   }" "incorrect or ambiguous cofactor";
  30
  31   # --- This one's oakley-155 ---
  32
  33   "ec {
  34     binpoly: 0x0800000000000000000000004000000000000001
  35     binproj: 0, 0x7338F
  36     0xaa089ae4666a422e714651ad9372213fa65a93,
  37       0x12d29c630dda76010397809a6816be6d2ffa815
  38     0xaaaaaaaaaaaaaaaaaab1fcf1e206f421a3ea1b * 12
  39   }" "degree not prime";
  40
  41 }
  42
  43 checkelt {
  44   "prime { 29, 7, 16 }" 16 0;
  45   "prime { 29, 7, 16 }" 2 -1;
  46
  47   "ec { secp112r1 } "
  48     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500"
  49     0;
  50
  51   "ec {
  52     binpoly: 0x0800000000000000000000004000000000000001
  53     binproj: 0, 0x7338F
  54     0xaa089ae4666a422e714651ad9372213fa65a93,
  55       0x12d29c630dda76010397809a6816be6d2ffa815
  56     0xaaaaaaaaaaaaaaaaaab1fcf1e206f421a3ea1b * 12
  57   }"
  58   "0x7b, 0x1c8"
  59   -1;
  60
  61 }
  62
  63 mul {
  64   "prime { 29, 7, 16 }" 8 7 27;
  65
  66   "prime { catacomb-ll-128-512 }"
  67     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
  68     32459289443738057373904596685867555624839649360339363831766212033645755638497600605981483758068704145575847399920657057013890131443911836862688141735006
  69     3947634573386515057215934636174241616115542585724861166389751782289048647501330677434616929656928819642658111077814577650964230037753641582364366136933940;
  70
  71   "ec { nist-p192 }"
  72     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
  73        0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
  74     "0xdafebf5828783f2ad35534631588a3f629a70fb16982a888,
  75        0xdd6bda0d993da0fa46b27bbc141b868f59331afa5c7e93ab"
  76     "0x76e32a2557599e6edcd283201fb2b9aadfd0d359cbb263da,
  77        0x782c37e372ba4520aa62e0fed121d49ef3b543660cfd05fd";
  78 }
  79
  80 sqr {
  81   "prime { 29, 7, 16 }" 8 6;
  82
  83   "prime { catacomb-ll-128-512 }"
  84     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
  85     1140714521254648115393410274780412972862841854751618635120376750594285456137894804866135103112174518443866054055338095672091997366768745026933347678925721;
  86
  87   "ec { nist-p192 }"
  88     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
  89        0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
  90     "0xdafebf5828783f2ad35534631588a3f629a70fb16982a888,
  91        0xdd6bda0d993da0fa46b27bbc141b868f59331afa5c7e93ab";
  92 }
  93
  94 inv {
  95   "prime { 29, 7, 16 }" 9 13;
  96
  97   "prime { catacomb-ll-128-512 }"
  98     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
  99     5876676858790113051879264634636727534122591023949326683791506203503263391580079717512212895466773363712551406785344528808275608153699681298608650332072384;
 100
 101   "ec { nist-p192 }"
 102     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 103        0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 104     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 105        0xf8e6d46a003725879cefee1294db32298c06885ee186b7ee";
 106 }
 107
 108 div {
 109   "prime { 29, 7, 16 }" 9 5 25;
 110
 111   "prime { catacomb-ll-128-512 }"
 112     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
 113     1926426135381827210395257472845875618319108487720857260583372274154852182951667715700282388176779441854588992736540698662997833538400244234146123792411051
 114     24069337702503046127918930405335466791703796668849861281722901639361967869381088162761943434867448224639537469251486209856612215080111132649928233405085;
 115
 116   "ec { nist-p192 }"
 117     "0x76e32a2557599e6edcd283201fb2b9aadfd0d359cbb263da,
 118        0x782c37e372ba4520aa62e0fed121d49ef3b543660cfd05fd"
 119      "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 120        0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 121     "0xdafebf5828783f2ad35534631588a3f629a70fb16982a888,
 122        0xdd6bda0d993da0fa46b27bbc141b868f59331afa5c7e93ab";
 123 }
 124
 125 exp {
 126   "prime { 29, 7, 16 }" 3 12 16;
 127
 128   "prime { 29, 7, 16 }" 3 -12 20;
 129
 130   "prime { catacomb-ll-128-512 }"
 131     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
 132     147362842169670001895012880214773009850
 133     5743039465765061017258257285641279669186626264432710496849307123351095219091264933384359874588390730293795471675184250790999035405886273905917889887366080;
 134
 135   "prime { catacomb-ll-128-512 }"
 136     3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
 137     -147362842169670001895012880214773009850
 138     3548613102603269389984811279864031309564549180885835723408511495891024326106890973751615845620404633717662823827170012116865930893524976817060348977482376;
 139
 140   "ec { nist-p192 }"
 141     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 142       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 143     6277101735386680763835789423176059013767194773182842284081
 144     inf;
 145
 146   "ec { nist-p192 }"
 147     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 148       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 149     3131675836296406071791252329528905062261497366991742517193
 150     "0x7f55059a125dd0d2b40dc3a712248b2848a5e5fa11111f71,
 151       0xc6e91094cb34131e539c3db25f7f32670ef8dfe03a88b6fb";
 152
 153   "ec { nist-p192 }"
 154     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 155       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 156     3131675836296406071791252329528905062261497366991742517193
 157     "0x7f55059a125dd0d2b40dc3a712248b2848a5e5fa11111f71,
 158       0xc6e91094cb34131e539c3db25f7f32670ef8dfe03a88b6fb";
 159
 160   "ec { nist-p192 }"
 161     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 162       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 163     -3131675836296406071791252329528905062261497366991742517193
 164     "0x7f55059a125dd0d2b40dc3a712248b2848a5e5fa11111f71,
 165       0x3916ef6b34cbece1ac63c24da080cd97f107201fc5774904";
 166 }
 167
 168 mexp-1 {
 169   "prime { 29, 7, 16 }" 3 12 16;
 170   "prime { 29, 7, 16 }" 3 -12 20;
 171
 172   "ec { nist-p192 }"
 173     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 174       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 175     3131675836296406071791252329528905062261497366991742517193
 176     "0x7f55059a125dd0d2b40dc3a712248b2848a5e5fa11111f71,
 177       0xc6e91094cb34131e539c3db25f7f32670ef8dfe03a88b6fb";
 178
 179   "ec { nist-p192 }"
 180     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 181       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 182     -3131675836296406071791252329528905062261497366991742517193
 183     "0x7f55059a125dd0d2b40dc3a712248b2848a5e5fa11111f71,
 184       0x3916ef6b34cbece1ac63c24da080cd97f107201fc5774904";
 185 }
 186
 187 mexp-2 {
 188   "prime { 29, 7, 16 }" 3 12 8 2 9;
 189   "prime { 29, 7, 16 }" 3 -12 8 2 4;
 190
 191   "prime { catacomb-ll-128-512 }"
 192    3344609493517948819439808013094817124423784439045485500527919676470975342917009634212031124646834193243018749323077268170586751415510015906107400678608590
 193    -147362842169670001895012880214773009850
 194    130340428707563070626027539288099297037336608388990593367322442443880297841210613523501678207607756678300142264348927299637006055881968995671289567513600
 195    91626412351157168611316239052073981423
 196    1022777063245982511046303002728993765008184164346724419524981660559588777350492245381260023136750231183070065817596986237402046431653662723677455952067221;
 197
 198   "ec { nist-p192 }"
 199     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 200       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 201     -3131675836296406071791252329528905062261497366991742517193
 202     "0xea711858c23d92f9964655910bc90a197a915e90111cf11b,
 203       0x664189a1d8b2bb24f2b2ac64b19e2178118842e6ba9f4ad5"
 204     1110875761630725856340142297645383444629395595869672555585
 205     "0xaa25bb0bf38b06821e8641c1afb8bc078dbe11c3cf9bc97,
 206        0xf1a4c09d621fb52736f6010ae90e9bc9771ac017a62098f9";
 207 }
 208
 209 toint {
 210   "prime { 29, 7, 16 }" 15 0 15;
 211   "prime { 29, 7, 16 }" 0 0 0;
 212
 213   "ec { nist-p192 }" inf -1 0;
 214
 215   "ec { nist-p192 }"
 216     "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
 217       0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
 218     0 602046282375688656758213480587526111916698976636884684818;
 219 }
 220
 221 fromint {
 222   "prime { 29, 7, 16 }" 15 0 15;
 223   "prime { 29, 7, 16 }" 0 0 0;
 224   "prime { 29, 7, 16 }" 39527306161272833161358334459 0 19;
 225
 226   "ec { nist-p192 }" 1 -1 inf;
 227   "ec { nist-p192 }" 0
 228     0 "0, 0x7b685605ee600cb363db5ea912f2bb5e3a0a2e0e60360f12";
 229 }
 230
 231 toec {
 232   "prime { 29, 7, 16 }" 0 -1 inf;
 233   "ec { nist-p192 }" inf 0 inf;
 234   "ec { secp112r1 }"
 235     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500"
 236     0
 237     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500";
 238 }
 239
 240 fromec {
 241   "prime { 29, 7, 16 }" inf -1 0;
 242   "prime { 29, 7, 16 }" "39527306161272833161358334459, 9" 0 19;
 243
 244   "ec { secp112r1 }" inf 0 inf;
 245   "ec { nist-p192 }" "1, 5" -1 inf;
 246
 247   "ec { secp112r1 }"
 248     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500"
 249     0
 250     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500";
 251 }
 252
 253 tobuf {
 254   "prime { 29, 7, 16 }" 22 -1 "00";
 255   "prime { 29, 7, 16 }" 22 0 "000116";
 256   "prime { 29, 7, 16 }" 0 -1 "0000";
 257   "prime { 29, 7, 16 }" 0 0 "000100";
 258
 259   "ec { secp112r1 }" inf 0 "0000";
 260   "ec { secp112r1 }"
 261     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500"
 262     0 "000e09487239995a5ee76b55f9c2f098000ea89ce5af8724c0a23e0e0ff77500";
 263   "ec { nist-p192 }"
 264     "0, 0x8497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed"
 265     0 "00010000188497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed";
 266 }
 267
 268 frombuf {
 269   "prime { 29, 7, 16 }" "00" -1 0;
 270   "prime { 29, 7, 16 }" "000116" 3 22;
 271   "prime { 29, 7, 16 }" "00000e" 2 0;
 272   "prime { 29, 7, 16 }" "000100ff" 3 0;
 273
 274   "ec { secp112r1 }" "0000" 2 inf;
 275   "ec { secp112r1 }"
 276     "000e09487239995a5ee76b55f9c2f098000ea89ce5af8724c0a23e0e0ff77500f00d"
 277     32 "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500";
 278   "ec { secp112r1 }" "0001000001001ee7" -1 inf;
 279   "ec { nist-p192 }"
 280     "00010000188497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0eddead"
 281     29, "0, 0x8497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed";
 282 }
 283
 284 toraw {
 285   "prime { 29, 7, 16 }" 22 -1 "";
 286   "prime { 29, 7, 16 }" 22 0 "16";
 287   "prime { 29, 7, 16 }" 0 -1 "";
 288   "prime { 29, 7, 16 }" 0 0 "00";
 289   "prime { 4294967311, 364289, 18767 }" 4285559121 0 "00ff707151";
 290   "prime { 4294967311, 364289, 18767 }" 4285559121 -1 "ff707151";
 291
 292   "ec { secp112r1 }" inf 0 "00";
 293   "ec { secp112r1 }"
 294     "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500"
 295     0 "0409487239995a5ee76b55f9c2f098a89ce5af8724c0a23e0e0ff77500";
 296   "ec { nist-p192 }"
 297     "0, 0x8497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed"
 298     0 "040000000000000000000000000000000000000000000000008497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed";
 299 }
 300
 301 fromraw {
 302   "prime { 29, 7, 16 }" "" -1 0;
 303   "prime { 29, 7, 16 }" "160bad" 1 22;
 304   "prime { 29, 7, 16 }" "00" 1 0;
 305   "prime { 4294967311, 364289, 18767 }" "00ff707151e7c0" 5 4285559121;
 306   "prime { 4294967311, 364289, 18767 }" "ff707151" -1 0;
 307
 308   "ec { secp112r1 }" "" -1 inf;
 309   "ec { secp112r1 }" "00" 1 inf;
 310   "ec { secp112r1 }"
 311     "0409487239995a5ee76b55f9c2f098a89ce5af8724c0a23e0e0ff775" -1 inf;
 312   "ec { secp112r1 }"
 313     "0409487239995a5ee76b55f9c2f098a89ce5af8724c0a23e0e0ff77500"
 314     29 "0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500";
 315   "ec { nist-p192 }"
 316     "070000000000000000000000000000000000000000000000008497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed00deadbeef"
 317     49 "0, 0x8497a9fa119ff34c9c24a156ed0d44a0c5f5d1f19fc9f0ed";
 318 }