forked from Mirrors/freeswitch
462 lines
13 KiB
C
462 lines
13 KiB
C
/*
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* libZRTP SDK library, implements the ZRTP secure VoIP protocol.
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* Copyright (c) 2006-2009 Philip R. Zimmermann. All rights reserved.
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* Contact: http://philzimmermann.com
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* For licensing and other legal details, see the file zrtp_legal.c.
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*/
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#include "zrtp.h"
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/* Size of extra random data to approximate a uniform distribution mod n */
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#define UNIFORMBYTES 8
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/*============================================================================*/
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/* Bignum Shorthand Functions */
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/*============================================================================*/
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int bnAddMod_ (struct BigNum *rslt, struct BigNum *n1, struct BigNum *mod)
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{
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bnAdd (rslt, n1);
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if (bnCmp (rslt, mod) >= 0) {
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bnSub (rslt, mod);
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}
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return 0;
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}
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int bnAddQMod_ (struct BigNum *rslt, unsigned n1, struct BigNum *mod)
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{
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bnAddQ (rslt, n1);
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if (bnCmp (rslt, mod) >= 0) {
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bnSub (rslt, mod);
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}
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return 0;
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}
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int bnSubMod_ (struct BigNum *rslt, struct BigNum *n1, struct BigNum *mod)
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{
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if (bnCmp (rslt, n1) < 0) {
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bnAdd (rslt, mod);
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}
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bnSub (rslt, n1);
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return 0;
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}
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int bnSubQMod_ (struct BigNum *rslt, unsigned n1, struct BigNum *mod)
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{
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if (bnCmpQ (rslt, n1) < 0) {
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bnAdd (rslt, mod);
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}
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bnSubQ (rslt, n1);
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return 0;
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}
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int bnMulMod_ (struct BigNum *rslt, struct BigNum *n1, struct BigNum *n2, struct BigNum *mod)
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{
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bnMul (rslt, n1, n2);
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bnMod (rslt, rslt, mod);
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return 0;
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}
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int bnMulQMod_ (struct BigNum *rslt, struct BigNum *n1, unsigned n2, struct BigNum *mod)
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{
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bnMulQ (rslt, n1, n2);
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bnMod (rslt, rslt, mod);
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return 0;
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}
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int bnSquareMod_ (struct BigNum *rslt, struct BigNum *n1, struct BigNum *mod)
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{
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bnSquare (rslt, n1);
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bnMod (rslt, rslt, mod);
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return 0;
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}
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/*============================================================================*/
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/* Elliptic Curve arithmetic */
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/*============================================================================*/
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/* Add two elliptic curve points. Any of them may be the same object. */
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int zrtp_ecAdd ( struct BigNum *rsltx, struct BigNum *rslty,
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struct BigNum *p1x, struct BigNum *p1y,
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struct BigNum *p2x, struct BigNum *p2y, struct BigNum *mod)
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{
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struct BigNum trsltx, trslty;
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struct BigNum t1, gam;
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struct BigNum bnzero;
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bnBegin (&bnzero);
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/* Check for an operand being zero */
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if (bnCmp (p1x, &bnzero) == 0 && bnCmp (p1y, &bnzero) == 0) {
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bnCopy (rsltx, p2x); bnCopy (rslty, p2y);
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bnEnd (&bnzero);
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return 0;
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}
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if (bnCmp (p2x, &bnzero) == 0 && bnCmp (p2y, &bnzero) == 0) {
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bnCopy (rsltx, p1x); bnCopy (rslty, p1y);
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bnEnd (&bnzero);
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return 0;
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}
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/* Check if p1 == -p2 and return 0 if so */
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if (bnCmp (p1x, p2x) == 0) {
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struct BigNum tsum;
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bnBegin (&tsum);
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bnCopy (&tsum, p1x);
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bnAddMod_ (&tsum, p2x, mod);
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if (bnCmp (&tsum, &bnzero) == 0) {
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bnSetQ (rsltx, 0); bnSetQ (rslty, 0);
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bnEnd (&tsum);
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bnEnd (&bnzero);
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return 0;
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}
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bnEnd (&tsum);
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}
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bnBegin (&t1);
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bnBegin (&gam);
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bnBegin (&trsltx);
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bnBegin (&trslty);
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/* Check for doubling, different formula for gamma */
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if (bnCmp (p1x, p2x) == 0 && bnCmp (p1y, p2y) == 0) {
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bnCopy (&t1, p1y);
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bnAddMod_ (&t1, p1y, mod);
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bnInv (&t1, &t1, mod);
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bnSquareMod_ (&gam, p1x, mod);
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bnMulQMod_ (&gam, &gam, 3, mod);
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bnSubQMod_ (&gam, 3, mod);
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bnMulMod_ (&gam, &gam, &t1, mod);
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} else {
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bnCopy (&t1, p2x);
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bnSubMod_ (&t1, p1x, mod);
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bnInv (&t1, &t1, mod);
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bnCopy (&gam, p2y);
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bnSubMod_ (&gam, p1y, mod);
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bnMulMod_ (&gam, &gam, &t1, mod);
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}
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bnSquareMod_ (&trsltx, &gam, mod);
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bnSubMod_ (&trsltx, p1x, mod);
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bnSubMod_ (&trsltx, p2x, mod);
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bnCopy (&trslty, p1x);
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bnSubMod_ (&trslty, &trsltx, mod);
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bnMulMod_ (&trslty, &trslty, &gam, mod);
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bnSubMod_ (&trslty, p1y, mod);
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bnCopy (rsltx, &trsltx);
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bnCopy (rslty, &trslty);
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bnEnd (&t1);
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bnEnd (&gam);
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bnEnd (&trsltx);
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bnEnd (&trslty);
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bnEnd (&bnzero);
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return 0;
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}
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int zrtp_ecMul ( struct BigNum *rsltx, struct BigNum *rslty, struct BigNum *mult,
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struct BigNum *basex, struct BigNum *basey, struct BigNum *mod)
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{
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struct BigNum bnzero;
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struct BigNum tbasex, tbasey;
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struct BigNum trsltx, trslty;
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struct BigNum tmult;
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bnBegin (&bnzero);
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bnBegin (&tbasex);
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bnBegin (&tbasey);
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bnBegin (&trsltx);
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bnBegin (&trslty);
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bnBegin (&tmult);
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/* Initialize result to 0 before additions */
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bnSetQ (&trsltx, 0);
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bnSetQ (&trslty, 0);
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/* Make copies of base and multiplier */
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bnCopy (&tbasex, basex);
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bnCopy (&tbasey, basey);
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bnCopy (&tmult, mult);
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while (bnCmp (&tmult, &bnzero) > 0) {
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/* Test lsb of mult */
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unsigned lsw = bnLSWord (&tmult);
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if (lsw & 1) {
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/* Add base to result */
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zrtp_ecAdd (&trsltx, &trslty, &trsltx, &trslty, &tbasex, &tbasey, mod);
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}
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/* Double the base */
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zrtp_ecAdd (&tbasex, &tbasey, &tbasex, &tbasey, &tbasex, &tbasey, mod);
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/* Shift multiplier right */
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bnRShift (&tmult, 1);
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}
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bnCopy (rsltx, &trsltx);
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bnCopy (rslty, &trslty);
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bnEnd (&bnzero);
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bnEnd (&tbasex);
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bnEnd (&tbasey);
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bnEnd (&trsltx);
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bnEnd (&trslty);
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bnEnd (&tmult);
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return 0;
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}
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/*----------------------------------------------------------------------------*/
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/* Choose a random point on the elliptic curve. */
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/* Provision is made to use a given point from test vectors. */
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/* pkx and pky are the output point, sv is output discrete log */
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/* Input base is Gx, Gy; curve field modulus is P; curve order is n. */
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/*----------------------------------------------------------------------------*/
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zrtp_status_t zrtp_ec_random_point( zrtp_global_t *zrtp,
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struct BigNum *P,
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struct BigNum *n,
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struct BigNum *Gx,
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struct BigNum *Gy,
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struct BigNum *pkx,
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struct BigNum *pky,
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struct BigNum *sv,
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uint8_t *test_sv_data,
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size_t test_sv_data_len)
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{
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zrtp_status_t s = zrtp_status_fail;
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unsigned char* buffer = zrtp_sys_alloc(sizeof(zrtp_uchar1024_t));
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if (!buffer) {
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return zrtp_status_alloc_fail;
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}
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zrtp_memset(buffer, 0, sizeof(zrtp_uchar1024_t));
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do
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{
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if (test_sv_data_len != 0) {
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/* Force certain secret value */
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if (bnBytes(P) != test_sv_data_len) {
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break;
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}
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zrtp_memcpy(buffer+UNIFORMBYTES, test_sv_data, test_sv_data_len);
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} else {
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/* Choose random value, larger than needed so it will be uniform */
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if (bnBytes(P)+UNIFORMBYTES != (uint32_t)zrtp_randstr(zrtp, buffer, bnBytes(P)+UNIFORMBYTES)) {
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break; /* if we can't generate random string - fail initialization */
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}
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}
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bnInsertBigBytes(sv, (const unsigned char *)buffer, 0, bnBytes(P)+UNIFORMBYTES);
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bnMod(sv, sv, n);
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zrtp_ecMul(pkx, pky, sv, Gx, Gy, P);
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s = zrtp_status_ok;
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} while (0);
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if (buffer) {
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zrtp_sys_free(buffer);
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}
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return s;
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}
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/*============================================================================*/
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/* Curve parameters */
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/*============================================================================*/
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uint8_t P_256_data[] =
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{
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0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
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};
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uint8_t n_256_data[] =
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{
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0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84,
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0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51
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};
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uint8_t b_256_data[] =
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{
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0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7,
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0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
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0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
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0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b
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};
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uint8_t Gx_256_data[] =
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{
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0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
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0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
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0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
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0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96
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};
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uint8_t Gy_256_data[] =
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{
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0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
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0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
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0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
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0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5
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};
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uint8_t P_384_data[] =
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{
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE,
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0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF
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};
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uint8_t n_384_data[] =
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{
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF,
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0x58, 0x1A, 0x0D, 0xB2, 0x48, 0xB0, 0xA7, 0x7A,
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0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73
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};
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uint8_t b_384_data[] =
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{
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0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4,
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0x98, 0x8e, 0x05, 0x6b, 0xe3, 0xf8, 0x2d, 0x19,
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0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, 0x41, 0x12,
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0x03, 0x14, 0x08, 0x8f, 0x50, 0x13, 0x87, 0x5a,
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0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, 0xd1, 0x9d,
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0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef
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};
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uint8_t Gx_384_data[] =
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{
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0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x05, 0x37,
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0x8e, 0xb1, 0xc7, 0x1e, 0xf3, 0x20, 0xad, 0x74,
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0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, 0x9b, 0x98,
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0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, 0x2a, 0x38,
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0x55, 0x02, 0xf2, 0x5d, 0xbf, 0x55, 0x29, 0x6c,
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0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0x0a, 0xb7
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};
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uint8_t Gy_384_data[] =
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{
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0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f,
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0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29,
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0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
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0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0,
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0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d,
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0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f
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};
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uint8_t P_521_data[] =
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{
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0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF
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};
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uint8_t n_521_data[] =
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{
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0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
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0xFF, 0xFA, 0x51, 0x86, 0x87, 0x83, 0xBF, 0x2F,
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0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09,
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0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C,
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0x47, 0xAE, 0xBB, 0x6F, 0xB7, 0x1E, 0x91, 0x38,
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0x64, 0x09
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};
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uint8_t b_521_data[] =
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{
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0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c,
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0x9a, 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85,
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0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3,
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0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1,
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0x09, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e,
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0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1,
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0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c,
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0x34, 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50,
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0x3f, 0x00
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};
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uint8_t Gx_521_data[] =
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{
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0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04,
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0xe9, 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95,
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0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f,
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0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d,
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0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7,
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0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff,
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0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a,
|
|
0x42, 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5,
|
|
0xbd, 0x66
|
|
};
|
|
|
|
uint8_t Gy_521_data[] =
|
|
{
|
|
0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b,
|
|
0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d,
|
|
0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b,
|
|
0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e,
|
|
0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4,
|
|
0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad,
|
|
0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72,
|
|
0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1,
|
|
0x66, 0x50
|
|
};
|
|
|
|
/*----------------------------------------------------------------------------*/
|
|
/* Initialize the curve parameters struct */
|
|
zrtp_status_t zrtp_ec_init_params( struct zrtp_ec_params *params, uint32_t bits )
|
|
{
|
|
unsigned ec_bytes = (bits+7) / 8;
|
|
params->ec_bits = bits;
|
|
switch (bits) {
|
|
case 256:
|
|
zrtp_memcpy (params->P_data, P_256_data, ec_bytes);
|
|
zrtp_memcpy (params->n_data, n_256_data, ec_bytes);
|
|
zrtp_memcpy (params->b_data, b_256_data, ec_bytes);
|
|
zrtp_memcpy (params->Gx_data, Gx_256_data, ec_bytes);
|
|
zrtp_memcpy (params->Gy_data, Gy_256_data, ec_bytes);
|
|
break;
|
|
case 384:
|
|
zrtp_memcpy (params->P_data, P_384_data, ec_bytes);
|
|
zrtp_memcpy (params->n_data, n_384_data, ec_bytes);
|
|
zrtp_memcpy (params->b_data, b_384_data, ec_bytes);
|
|
zrtp_memcpy (params->Gx_data, Gx_384_data, ec_bytes);
|
|
zrtp_memcpy (params->Gy_data, Gy_384_data, ec_bytes);
|
|
break;
|
|
case 521:
|
|
zrtp_memcpy (params->P_data, P_521_data, ec_bytes);
|
|
zrtp_memcpy (params->n_data, n_521_data, ec_bytes);
|
|
zrtp_memcpy (params->b_data, b_521_data, ec_bytes);
|
|
zrtp_memcpy (params->Gx_data, Gx_521_data, ec_bytes);
|
|
zrtp_memcpy (params->Gy_data, Gy_521_data, ec_bytes);
|
|
break;
|
|
default:
|
|
return zrtp_status_bad_param;
|
|
}
|
|
|
|
return zrtp_status_ok;
|
|
}
|