#include "system.h" #include #include #include #include "debug.h" static int _debug = 0; static int Zmpbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp) { size_t ysize = b->size+1; size_t ubits, vbits; int k = 0; mpw* u = wksp; mpw* v = u+ysize; mpw* A = v+ysize; mpw* B = A+ysize; mpw* C = B+ysize; mpw* D = C+ysize; mpsetx(ysize, u, xsize, xdata); mpsetx(ysize, v, b->size, b->modl); mpsetw(ysize, A, 1); mpzero(ysize, B); mpzero(ysize, C); mpsetw(ysize, D, 1); for (k = 0; mpeven(ysize, u) && mpeven(ysize, v); k++) { mpdivtwo(ysize, u); mpdivtwo(ysize, v); } if (mpeven(ysize, u)) (void) mpadd(ysize, u, v); if (_debug < 0) fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); if (_debug < 0) fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); if (_debug < 0) fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A); if (_debug < 0) fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B); if (_debug < 0) fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); if (_debug < 0) fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); ubits = vbits = MP_WORDS_TO_BITS(ysize); do { while (mpeven(ysize, v)) { mpsdivtwo(ysize, v); vbits -= 1; if (mpodd(ysize, C)) { (void) mpaddx(ysize, C, b->size, b->modl); (void) mpsubx(ysize, D, xsize, xdata); } mpsdivtwo(ysize, C); mpsdivtwo(ysize, D); if (_debug < 0) fprintf(stderr, "-->> v: "), mpfprintln(stderr, ysize, v); } if (ubits >= vbits) { mpw* swapu; size_t swapi; if (_debug < 0) fprintf(stderr, "--> (swap u <-> v)\n"); swapu = u; u = v; v = swapu; swapi = ubits; ubits = vbits; vbits = swapi; swapu = A; A = C; C = swapu; swapu = B; B = D; D = swapu; } if (!((u[ysize-1] + v[ysize-1]) & 0x3)) { if (_debug < 0) fprintf(stderr, "--> (even parity)\n"); mpadd(ysize, v, u); mpadd(ysize, C, A); mpadd(ysize, D, B); } else { if (_debug < 0) fprintf(stderr, "--> (odd parity)\n"); mpsub(ysize, v, u); mpsub(ysize, C, A); mpsub(ysize, D, B); } if (_debug < 0) fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); if (_debug < 0) fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); if (_debug < 0) fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); vbits++; } while (mpnz(ysize, v)); #ifdef NOTYET if (!mpisone(ysize, u)) return 0; #endif if (result) { mpsetx(b->size, result, ysize, A); /*@-usedef@*/ if (*A & 0x80000000) (void) mpneg(b->size, result); /*@=usedef@*/ while (--k > 0) mpadd(b->size, result, result); } fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result); fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A); fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B); fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); return 1; } static int Ympbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp) { size_t ysize = b->size+1; int k; mpw* u1 = wksp; mpw* u2 = u1+ysize; mpw* u3 = u2+ysize; mpw* v1 = u3+ysize; mpw* v2 = v1+ysize; mpw* v3 = v2+ysize; mpw* t1 = v3+ysize; mpw* t2 = t1+ysize; mpw* t3 = t2+ysize; mpw* u = t3+ysize; mpw* v = u+ysize; mpsetx(ysize, u, xsize, xdata); mpsetx(ysize, v, b->size, b->modl); /* Y1. Find power of 2. */ for (k = 0; mpeven(ysize, u) && mpeven(ysize, v); k++) { mpdivtwo(ysize, u); mpdivtwo(ysize, v); } if (_debug < 0) fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); if (_debug < 0) fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); /* Y2. Initialize. */ mpsetw(ysize, u1, 1); if (_debug < 0) fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1); mpzero(ysize, u2); if (_debug < 0) fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2); mpsetx(ysize, u3, ysize, u); if (_debug < 0) fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3); mpsetx(ysize, v1, ysize, v); if (_debug < 0) fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1); mpsetw(ysize, v2, 1); (void) mpsub(ysize, v2, u); if (_debug < 0) fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2); mpsetx(ysize, v3, ysize, v); if (_debug < 0) fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3); if (mpodd(ysize, u)) { mpzero(ysize, t1); if (_debug < 0) fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1); mpzero(ysize, t2); mpsubw(ysize, t2, 1); if (_debug < 0) fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2); mpzero(ysize, t3); mpsub(ysize, t3, v); if (_debug < 0) fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3); goto Y4; } else { mpsetw(ysize, t1, 1); if (_debug < 0) fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1); mpzero(ysize, t2); if (_debug < 0) fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2); mpsetx(ysize, t3, ysize, u); if (_debug < 0) fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3); } do { do { if (mpodd(ysize, t1) || mpodd(ysize, t2)) { mpadd(ysize, t1, v); mpsub(ysize, t2, u); } mpsdivtwo(ysize, t1); mpsdivtwo(ysize, t2); mpsdivtwo(ysize, t3); Y4: if (_debug < 0) fprintf(stderr, " Y4 t3: "), mpfprintln(stderr, ysize, t3); } while (mpeven(ysize, t3)); /* Y5. Reset max(u3,v3). */ if (!(*t3 & 0x80000000)) { if (_debug < 0) fprintf(stderr, "--> Y5 (t3 > 0)\n"); mpsetx(ysize, u1, ysize, t1); if (_debug < 0) fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1); mpsetx(ysize, u2, ysize, t2); if (_debug < 0) fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2); mpsetx(ysize, u3, ysize, t3); if (_debug < 0) fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3); } else { if (_debug < 0) fprintf(stderr, "--> Y5 (t3 <= 0)\n"); mpsetx(ysize, v1, ysize, v); mpsub(ysize, v1, t1); if (_debug < 0) fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1); mpsetx(ysize, v2, ysize, u); mpneg(ysize, v2); mpsub(ysize, v2, t2); if (_debug < 0) fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2); mpzero(ysize, v3); mpsub(ysize, v3, t3); if (_debug < 0) fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3); } /* Y6. Subtract. */ mpsetx(ysize, t1, ysize, u1); mpsub(ysize, t1, v1); mpsetx(ysize, t2, ysize, u2); mpsub(ysize, t2, v2); mpsetx(ysize, t3, ysize, u3); mpsub(ysize, t3, v3); if (*t1 & 0x80000000) { mpadd(ysize, t1, v); mpsub(ysize, t2, u); } if (_debug < 0) fprintf(stderr, "-->Y6 t1: "), mpfprintln(stderr, ysize, t1); if (_debug < 0) fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2); if (_debug < 0) fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3); } while (mpnz(ysize, t3)); if (!(mpisone(ysize, u3) && mpisone(ysize, v3))) return 0; if (result) { while (--k > 0) mpadd(ysize, u1, u1); mpsetx(b->size, result, ysize, u1); } fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result); fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1); fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2); fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3); fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1); fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2); fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3); fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1); fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2); fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3); return 1; } /** * Computes the inverse (modulo b) of x, and returns 1 if x was invertible. * needs workspace of (6*size+6) words * @note xdata and result cannot point to the same area */ static int Xmpbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp) { /* * Fact: if a element of Zn, then a is invertible if and only if gcd(a,n) = 1 * Hence: if b->modl is even, then x must be odd, otherwise the gcd(x,n) >= 2 * * The calling routine must guarantee this condition. */ size_t ysize = b->size+1; mpw* u = wksp; mpw* v = u+ysize; mpw* A = v+ysize; mpw* B = A+ysize; mpw* C = B+ysize; mpw* D = C+ysize; mpsetx(ysize, u, b->size, b->modl); mpsetx(ysize, v, xsize, xdata); mpsetw(ysize, A, 1); mpzero(ysize, B); mpzero(ysize, C); mpsetw(ysize, D, 1); if (_debug < 0) fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); if (_debug < 0) fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); if (_debug < 0) fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A); if (_debug < 0) fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B); if (_debug < 0) fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); if (_debug < 0) fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); do { while (mpeven(ysize, u)) { mpdivtwo(ysize, u); if (mpodd(ysize, A) || mpodd(ysize, B)) { (void) mpaddx(ysize, A, xsize, xdata); (void) mpsubx(ysize, B, b->size, b->modl); } mpsdivtwo(ysize, A); mpsdivtwo(ysize, B); } while (mpeven(ysize, v)) { mpdivtwo(ysize, v); if (mpodd(ysize, C) || mpodd(ysize, D)) { (void) mpaddx(ysize, C, xsize, xdata); (void) mpsubx(ysize, D, b->size, b->modl); } mpsdivtwo(ysize, C); mpsdivtwo(ysize, D); } if (mpge(ysize, u, v)) { if (_debug < 0) fprintf(stderr, "--> 5 (u >= v)\n"); (void) mpsub(ysize, u, v); (void) mpsub(ysize, A, C); (void) mpsub(ysize, B, D); if (_debug < 0) fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); if (_debug < 0) fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A); if (_debug < 0) fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B); } else { if (_debug < 0) fprintf(stderr, "--> 5 (u < v)\n"); (void) mpsub(ysize, v, u); (void) mpsub(ysize, C, A); (void) mpsub(ysize, D, B); if (_debug < 0) fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); if (_debug < 0) fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); if (_debug < 0) fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); } } while (mpnz(ysize, u)); if (!mpisone(ysize, v)) return 0; if (result) { mpsetx(b->size, result, ysize, D); /*@-usedef@*/ if (*D & 0x80000000) (void) mpadd(b->size, result, b->modl); /*@=usedef@*/ } fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result); fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u); fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v); fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A); fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B); fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C); fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D); return 1; } static const char * dsa_q = "a1b35510319a59825c721e73e41d687ffe351bc9"; static const char * dsa_s[] = { "22e917d8a47462c09748e00aebbab5fd93793495", /* samba-2.2.1a-4.i386.rpm */ "0476b30eb86899c6785fad4f7a62e43d59481273", /* gtkhtml-devel-0.9.2-9.i386.rpm */ "8adbca132a0e6a2d2ee5bb2cd837b350c9f8db42", /* lha-1.00-17.i386.rpm */ "026efa7a5a60d29921ec93f503b5c483d131d8c4", /* jed-0.99.14-2.i386.rpm */ "2e4ec3c986b5a1f8f77b0b9f911d4e1b0ed8d869", /* ttfonts-zh_TW-2.11-5.noarch.rpm */ "259e4859e65c2528d3c35eaf2717d8963c834e94", /* libxml2-2.4.2-1.i386.rpm */ "45462b3534c2ff7a13f232a4e6e4460c61b2e232", /* slang-1.4.4-4.i386.rpm */ "0a73e678141aea7b4e5195afb7db3e9ec00f9f85", /* time-1.7-14.i386.rpm */ NULL }; static const char * dsa_w_good[]= { "8b2eeda5fd34067c248bc3262e28f5668e64500b", /* samba-2.2.1a-4.i386.rpm */ "98f6a05c5cc17c2e48faad178d2c21c0bcca694b", /* gtkhtml-devel-0.9.2-9.i386.rpm */ "8ec91350f3237ee249ea009143f692d4cc2f8d2e", /* lha-1.00-17.i386.rpm */ "7db9e81c6f60fdd29243f67b70af7d1d14c9c703", /* jed-0.99.14-2.i386.rpm */ "6bdc316aef981e45c47dabab904a31747d349eec", /* ttfonts-zh_TW-2.11-5.noarch.rpm */ "6d1eaa6c78ad945a1de7bc369f7992e9df3735d9", /* libxml2-2.4.2-1.i386.rpm */ "79dc6adee7817e7dc248cfeb4b358e933af6de01", /* slang-1.4.4-4.i386.rpm */ "2659140a40cb05e85c536a299327addb0a762b8a", /* time-1.7-14.i386.rpm */ NULL }; static const char * dsa_w_bad[] = { "e97b9895cb99acf9c819a4b24a0b8ce6902f3442", /* samba-2.2.1a-4.i386.rpm */ "f7434b4c2b2722abec888ea3a90eb940be954d82", /* gtkhtml-devel-0.9.2-9.i386.rpm */ "ed15be40c189255fed77e21d5fd92a54cdfa7165", /* lha-1.00-17.i386.rpm */ "dc06930c3dc6a45035d1d8078c92149d1694ab3a", /* jed-0.99.14-2.i386.rpm */ "ca28dc5abdfdc4c3680b8d37ac2cc8f47eff8323", /* ttfonts-zh_TW-2.11-5.noarch.rpm */ "cb6b555c47133ad7c1759dc2bb5c2a69e1021a10", /* libxml2-2.4.2-1.i386.rpm */ "d82915ceb5e724fb65d6b177671826133cc1c238", /* slang-1.4.4-4.i386.rpm */ "2659140a40cb05e85c536a299327addb0a762b8a", /* time-1.7-14.i386.rpm */ NULL }; static struct poptOption optionsTable[] = { { "debug", 'd', POPT_ARG_VAL, &_debug, -1, NULL, NULL }, POPT_AUTOHELP POPT_TABLEEND }; int main(int argc, const char * argv[]) { poptContext optCon = poptGetContext(argv[0], argc, argv, optionsTable, 0); mpbarrett q; mpnumber s; size_t qsize; mpw* qtemp; mpw* qwksp; int rc; int i; while ((rc = poptGetNextOpt(optCon)) > 0) { switch (rc) { default: /*@switchbreak@*/ break; } } mpbzero(&q); mpbsethex(&q, dsa_q); qsize = q.size; qtemp = malloc((13*qsize+13) * sizeof(*qtemp)); qwksp = qtemp+2*qsize; for (i = 0; i < 9; i++) { if (dsa_s[i] == NULL) break; fprintf(stderr, "================================================== %d\n", i); fprintf(stderr, " s: %s\n", dsa_s[i]); mpnzero(&s); mpnsethex(&s, dsa_s[i]); fprintf(stderr, "-------------------------------------------------- %d\n", i); rc = Xmpbinv_w(&q, s.size, s.data, qtemp, qwksp); fprintf(stderr, "beecrypt: "); mpfprintln(stderr, qsize, qtemp); fprintf(stderr, "-------------------------------------------------- %d\n", i); rc = Ympbinv_w(&q, s.size, s.data, qtemp, qwksp); fprintf(stderr, " Knuth: "); mpfprintln(stderr, qsize, qtemp); fprintf(stderr, "-------------------------------------------------- %d\n", i); rc = Zmpbinv_w(&q, s.size, s.data, qtemp, qwksp); fprintf(stderr, " Brent: "); mpfprintln(stderr, qsize, qtemp); fprintf(stderr, "-------------------------------------------------- %d\n", i); fprintf(stderr, " q: %s\n", dsa_q); fprintf(stderr, " s: %s\n", dsa_s[i]); fprintf(stderr, " GOOD: %s\n", dsa_w_good[i]); fprintf(stderr, " BAD: %s\n", dsa_w_bad[i]); } return 0; }