513 lines
14 KiB
C
513 lines
14 KiB
C
#include "system.h"
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#include <beecrypt/mpbarrett.h>
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#include <beecrypt/mp.h>
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#include <popt.h>
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#include "debug.h"
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static int _debug = 0;
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static int Zmpbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp)
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{
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size_t ysize = b->size+1;
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size_t ubits, vbits;
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int k = 0;
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mpw* u = wksp;
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mpw* v = u+ysize;
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mpw* A = v+ysize;
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mpw* B = A+ysize;
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mpw* C = B+ysize;
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mpw* D = C+ysize;
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mpsetx(ysize, u, xsize, xdata);
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mpsetx(ysize, v, b->size, b->modl);
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mpsetw(ysize, A, 1);
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mpzero(ysize, B);
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mpzero(ysize, C);
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mpsetw(ysize, D, 1);
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for (k = 0; mpeven(ysize, u) && mpeven(ysize, v); k++) {
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mpdivtwo(ysize, u);
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mpdivtwo(ysize, v);
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}
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if (mpeven(ysize, u))
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(void) mpadd(ysize, u, v);
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if (_debug < 0)
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A);
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if (_debug < 0)
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fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B);
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if (_debug < 0)
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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if (_debug < 0)
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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ubits = vbits = MP_WORDS_TO_BITS(ysize);
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do {
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while (mpeven(ysize, v)) {
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mpsdivtwo(ysize, v);
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vbits -= 1;
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if (mpodd(ysize, C)) {
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(void) mpaddx(ysize, C, b->size, b->modl);
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(void) mpsubx(ysize, D, xsize, xdata);
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}
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mpsdivtwo(ysize, C);
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mpsdivtwo(ysize, D);
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if (_debug < 0)
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fprintf(stderr, "-->> v: "), mpfprintln(stderr, ysize, v);
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}
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if (ubits >= vbits) {
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mpw* swapu;
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size_t swapi;
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if (_debug < 0)
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fprintf(stderr, "--> (swap u <-> v)\n");
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swapu = u; u = v; v = swapu;
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swapi = ubits; ubits = vbits; vbits = swapi;
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swapu = A; A = C; C = swapu;
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swapu = B; B = D; D = swapu;
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}
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if (!((u[ysize-1] + v[ysize-1]) & 0x3)) {
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if (_debug < 0)
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fprintf(stderr, "--> (even parity)\n");
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mpadd(ysize, v, u);
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mpadd(ysize, C, A);
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mpadd(ysize, D, B);
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} else {
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if (_debug < 0)
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fprintf(stderr, "--> (odd parity)\n");
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mpsub(ysize, v, u);
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mpsub(ysize, C, A);
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mpsub(ysize, D, B);
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}
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if (_debug < 0)
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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if (_debug < 0)
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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vbits++;
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} while (mpnz(ysize, v));
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#ifdef NOTYET
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if (!mpisone(ysize, u))
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return 0;
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#endif
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if (result) {
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mpsetx(b->size, result, ysize, A);
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if (*A & 0x80000000)
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(void) mpneg(b->size, result);
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while (--k > 0)
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mpadd(b->size, result, result);
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}
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fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result);
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A);
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fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B);
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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return 1;
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}
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static int Ympbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp)
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{
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size_t ysize = b->size+1;
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int k;
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mpw* u1 = wksp;
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mpw* u2 = u1+ysize;
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mpw* u3 = u2+ysize;
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mpw* v1 = u3+ysize;
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mpw* v2 = v1+ysize;
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mpw* v3 = v2+ysize;
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mpw* t1 = v3+ysize;
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mpw* t2 = t1+ysize;
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mpw* t3 = t2+ysize;
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mpw* u = t3+ysize;
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mpw* v = u+ysize;
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mpsetx(ysize, u, xsize, xdata);
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mpsetx(ysize, v, b->size, b->modl);
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/* Y1. Find power of 2. */
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for (k = 0; mpeven(ysize, u) && mpeven(ysize, v); k++) {
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mpdivtwo(ysize, u);
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mpdivtwo(ysize, v);
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}
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if (_debug < 0)
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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/* Y2. Initialize. */
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mpsetw(ysize, u1, 1);
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if (_debug < 0)
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fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1);
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mpzero(ysize, u2);
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if (_debug < 0)
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fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2);
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mpsetx(ysize, u3, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3);
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mpsetx(ysize, v1, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1);
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mpsetw(ysize, v2, 1);
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(void) mpsub(ysize, v2, u);
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if (_debug < 0)
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fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2);
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mpsetx(ysize, v3, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3);
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if (mpodd(ysize, u)) {
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mpzero(ysize, t1);
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if (_debug < 0)
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fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1);
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mpzero(ysize, t2);
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mpsubw(ysize, t2, 1);
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if (_debug < 0)
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fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2);
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mpzero(ysize, t3);
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mpsub(ysize, t3, v);
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if (_debug < 0)
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fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3);
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goto Y4;
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} else {
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mpsetw(ysize, t1, 1);
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if (_debug < 0)
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fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1);
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mpzero(ysize, t2);
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if (_debug < 0)
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fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2);
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mpsetx(ysize, t3, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3);
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}
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do {
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do {
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if (mpodd(ysize, t1) || mpodd(ysize, t2)) {
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mpadd(ysize, t1, v);
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mpsub(ysize, t2, u);
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}
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mpsdivtwo(ysize, t1);
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mpsdivtwo(ysize, t2);
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mpsdivtwo(ysize, t3);
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Y4:
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if (_debug < 0)
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fprintf(stderr, " Y4 t3: "), mpfprintln(stderr, ysize, t3);
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} while (mpeven(ysize, t3));
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/* Y5. Reset max(u3,v3). */
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if (!(*t3 & 0x80000000)) {
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if (_debug < 0)
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fprintf(stderr, "--> Y5 (t3 > 0)\n");
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mpsetx(ysize, u1, ysize, t1);
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if (_debug < 0)
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fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1);
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mpsetx(ysize, u2, ysize, t2);
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if (_debug < 0)
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fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2);
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mpsetx(ysize, u3, ysize, t3);
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if (_debug < 0)
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fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3);
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} else {
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if (_debug < 0)
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fprintf(stderr, "--> Y5 (t3 <= 0)\n");
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mpsetx(ysize, v1, ysize, v);
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mpsub(ysize, v1, t1);
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if (_debug < 0)
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fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1);
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mpsetx(ysize, v2, ysize, u);
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mpneg(ysize, v2);
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mpsub(ysize, v2, t2);
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if (_debug < 0)
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fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2);
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mpzero(ysize, v3);
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mpsub(ysize, v3, t3);
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if (_debug < 0)
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fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3);
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}
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/* Y6. Subtract. */
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mpsetx(ysize, t1, ysize, u1);
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mpsub(ysize, t1, v1);
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mpsetx(ysize, t2, ysize, u2);
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mpsub(ysize, t2, v2);
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mpsetx(ysize, t3, ysize, u3);
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mpsub(ysize, t3, v3);
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if (*t1 & 0x80000000) {
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mpadd(ysize, t1, v);
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mpsub(ysize, t2, u);
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}
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if (_debug < 0)
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fprintf(stderr, "-->Y6 t1: "), mpfprintln(stderr, ysize, t1);
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if (_debug < 0)
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fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2);
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if (_debug < 0)
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fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3);
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} while (mpnz(ysize, t3));
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if (!(mpisone(ysize, u3) && mpisone(ysize, v3)))
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return 0;
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if (result) {
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while (--k > 0)
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mpadd(ysize, u1, u1);
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mpsetx(b->size, result, ysize, u1);
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}
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fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result);
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fprintf(stderr, " u1: "), mpfprintln(stderr, ysize, u1);
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fprintf(stderr, " u2: "), mpfprintln(stderr, ysize, u2);
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fprintf(stderr, " u3: "), mpfprintln(stderr, ysize, u3);
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fprintf(stderr, " v1: "), mpfprintln(stderr, ysize, v1);
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fprintf(stderr, " v2: "), mpfprintln(stderr, ysize, v2);
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fprintf(stderr, " v3: "), mpfprintln(stderr, ysize, v3);
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fprintf(stderr, " t1: "), mpfprintln(stderr, ysize, t1);
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fprintf(stderr, " t2: "), mpfprintln(stderr, ysize, t2);
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fprintf(stderr, " t3: "), mpfprintln(stderr, ysize, t3);
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return 1;
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}
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/**
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* Computes the inverse (modulo b) of x, and returns 1 if x was invertible.
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* needs workspace of (6*size+6) words
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* @note xdata and result cannot point to the same area
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*/
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static int Xmpbinv_w(const mpbarrett* b, size_t xsize, const mpw* xdata, mpw* result, mpw* wksp)
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{
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/*
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* Fact: if a element of Zn, then a is invertible if and only if gcd(a,n) = 1
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* Hence: if b->modl is even, then x must be odd, otherwise the gcd(x,n) >= 2
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*
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* The calling routine must guarantee this condition.
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*/
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size_t ysize = b->size+1;
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mpw* u = wksp;
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mpw* v = u+ysize;
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mpw* A = v+ysize;
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mpw* B = A+ysize;
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mpw* C = B+ysize;
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mpw* D = C+ysize;
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mpsetx(ysize, u, b->size, b->modl);
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mpsetx(ysize, v, xsize, xdata);
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mpsetw(ysize, A, 1);
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mpzero(ysize, B);
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mpzero(ysize, C);
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mpsetw(ysize, D, 1);
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if (_debug < 0)
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A);
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if (_debug < 0)
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fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B);
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if (_debug < 0)
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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if (_debug < 0)
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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do {
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while (mpeven(ysize, u))
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{
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mpdivtwo(ysize, u);
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if (mpodd(ysize, A) || mpodd(ysize, B))
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{
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(void) mpaddx(ysize, A, xsize, xdata);
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(void) mpsubx(ysize, B, b->size, b->modl);
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}
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mpsdivtwo(ysize, A);
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mpsdivtwo(ysize, B);
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}
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while (mpeven(ysize, v))
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{
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mpdivtwo(ysize, v);
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if (mpodd(ysize, C) || mpodd(ysize, D))
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{
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(void) mpaddx(ysize, C, xsize, xdata);
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(void) mpsubx(ysize, D, b->size, b->modl);
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}
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mpsdivtwo(ysize, C);
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mpsdivtwo(ysize, D);
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}
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if (mpge(ysize, u, v))
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{
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if (_debug < 0)
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fprintf(stderr, "--> 5 (u >= v)\n");
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(void) mpsub(ysize, u, v);
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(void) mpsub(ysize, A, C);
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(void) mpsub(ysize, B, D);
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if (_debug < 0)
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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if (_debug < 0)
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fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A);
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if (_debug < 0)
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fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B);
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}
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else
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{
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if (_debug < 0)
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fprintf(stderr, "--> 5 (u < v)\n");
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(void) mpsub(ysize, v, u);
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(void) mpsub(ysize, C, A);
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(void) mpsub(ysize, D, B);
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if (_debug < 0)
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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if (_debug < 0)
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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if (_debug < 0)
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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}
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} while (mpnz(ysize, u));
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if (!mpisone(ysize, v))
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return 0;
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if (result)
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{
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mpsetx(b->size, result, ysize, D);
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if (*D & 0x80000000)
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(void) mpadd(b->size, result, b->modl);
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}
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fprintf(stderr, "=== EXIT: "), mpfprintln(stderr, b->size, result);
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fprintf(stderr, " u: "), mpfprintln(stderr, ysize, u);
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fprintf(stderr, " v: "), mpfprintln(stderr, ysize, v);
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fprintf(stderr, " A: "), mpfprintln(stderr, ysize, A);
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fprintf(stderr, " B: "), mpfprintln(stderr, ysize, B);
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fprintf(stderr, " C: "), mpfprintln(stderr, ysize, C);
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fprintf(stderr, " D: "), mpfprintln(stderr, ysize, D);
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return 1;
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}
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static const char * dsa_q = "a1b35510319a59825c721e73e41d687ffe351bc9";
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static const char * dsa_s[] = {
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"22e917d8a47462c09748e00aebbab5fd93793495", /* samba-2.2.1a-4.i386.rpm */
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"0476b30eb86899c6785fad4f7a62e43d59481273", /* gtkhtml-devel-0.9.2-9.i386.rpm */
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"8adbca132a0e6a2d2ee5bb2cd837b350c9f8db42", /* lha-1.00-17.i386.rpm */
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"026efa7a5a60d29921ec93f503b5c483d131d8c4", /* jed-0.99.14-2.i386.rpm */
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"2e4ec3c986b5a1f8f77b0b9f911d4e1b0ed8d869", /* ttfonts-zh_TW-2.11-5.noarch.rpm */
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"259e4859e65c2528d3c35eaf2717d8963c834e94", /* libxml2-2.4.2-1.i386.rpm */
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"45462b3534c2ff7a13f232a4e6e4460c61b2e232", /* slang-1.4.4-4.i386.rpm */
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"0a73e678141aea7b4e5195afb7db3e9ec00f9f85", /* time-1.7-14.i386.rpm */
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NULL
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};
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static const char * dsa_w_good[]= {
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"8b2eeda5fd34067c248bc3262e28f5668e64500b", /* samba-2.2.1a-4.i386.rpm */
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"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, 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:
|
|
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;
|
|
|
|
}
|