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openssl/demos/jpake/jpakedemo.c

Index: openssl/demos/jpake/jpakedemo.c
===================================================================
--- openssl/demos/jpake/jpakedemo.c	(revision 105093)
+++ openssl/demos/jpake/jpakedemo.c	(working copy)
@@ -1,469 +0,0 @@
-#include "openssl/bn.h"
-#include "openssl/sha.h"
-#include <assert.h>
-#include <string.h>
-#include <stdlib.h>
-
-/* Copyright (C) 2008 Ben Laurie (ben@links.org) */
-
-/*
- * Implement J-PAKE, as described in
- * http://grouper.ieee.org/groups/1363/Research/contributions/hao-ryan-2008.pdf
- * 
- * With hints from http://www.cl.cam.ac.uk/~fh240/software/JPAKE2.java.
- */
-
-static void showbn(const char *name, const BIGNUM *bn)
-    {
-    fputs(name, stdout);
-    fputs(" = ", stdout);
-    BN_print_fp(stdout, bn);
-    putc('\n', stdout);
-    }
-
-typedef struct
-    {
-    BN_CTX *ctx;  // Perhaps not the best place for this?
-    BIGNUM *p;
-    BIGNUM *q;
-    BIGNUM *g;
-    } JPakeParameters;
-
-static void JPakeParametersInit(JPakeParameters *params)
-    {
-    params->ctx = BN_CTX_new();
-
-    // For now use p, q, g from Java sample code. Later, generate them.
-    params->p = NULL;
-    BN_hex2bn(&params->p, "fd7f53811d75122952df4a9c2eece4e7f611b7523cef4400c31e3f80b6512669455d402251fb593d8d58fabfc5f5ba30f6cb9b556cd7813b801d346ff26660b76b9950a5a49f9fe8047b1022c24fbba9d7feb7c61bf83b57e7c6a8a6150f04fb83f6d3c51ec3023554135a169132f675f3ae2b61d72aeff22203199dd14801c7");
-    params->q = NULL;
-    BN_hex2bn(&params->q, "9760508f15230bccb292b982a2eb840bf0581cf5");
-    params->g = NULL;
-    BN_hex2bn(&params->g, "f7e1a085d69b3ddecbbcab5c36b857b97994afbbfa3aea82f9574c0b3d0782675159578ebad4594fe67107108180b449167123e84c281613b7cf09328cc8a6e13c167a8b547c8d28e0a3ae1e2bb3a675916ea37f0bfa213562f1fb627a01243bcca4f1bea8519089a883dfe15ae59f06928b665e807b552564014c3bfecf492a");
-
-    showbn("p", params->p);
-    showbn("q", params->q);
-    showbn("g", params->g);
-    }
-
-typedef struct
-    {
-    BIGNUM *gr;  // g^r (r random)
-    BIGNUM *b;   // b = r - x*h, h=hash(g, g^r, g^x, name)
-    } JPakeZKP;
-
-typedef struct
-    {
-    BIGNUM *gx;       // g^x
-    JPakeZKP zkpx;    // ZKP(x)
-    } JPakeStep1;
-
-typedef struct
-    {
-    BIGNUM *X;        // g^(xa + xc + xd) * xb * s
-    JPakeZKP zkpxbs;  // ZKP(xb * s)
-    } JPakeStep2;
-
-typedef struct
-    {
-    const char *name;  // Must be unique
-    int base;          // 1 for Alice, 3 for Bob. Only used for printing stuff.
-    JPakeStep1 s1c;    // Alice's g^x3, ZKP(x3) or Bob's g^x1, ZKP(x1)
-    JPakeStep1 s1d;    // Alice's g^x4, ZKP(x4) or Bob's g^x2, ZKP(x2)
-    JPakeStep2 s2;     // Alice's A, ZKP(x2 * s) or Bob's B, ZKP(x4 * s)
-    } JPakeUserPublic;
-
-/*
- * The user structure. In the definition, (xa, xb, xc, xd) are Alice's
- * (x1, x2, x3, x4) or Bob's (x3, x4, x1, x2). If you see what I mean.
- */
-typedef struct
-    {
-    JPakeUserPublic p;
-    BIGNUM *secret;    // The shared secret
-    BIGNUM *key;       // The calculated (shared) key
-    BIGNUM *xa;        // Alice's x1 or Bob's x3
-    BIGNUM *xb;        // Alice's x2 or Bob's x4
-    } JPakeUser;
-
-// Generate each party's random numbers. xa is in [0, q), xb is in [1, q).
-static void genrand(JPakeUser *user, const JPakeParameters *params)
-    {
-    BIGNUM *qm1;
-
-    // xa in [0, q)
-    user->xa = BN_new();
-    BN_rand_range(user->xa, params->q);
-
-    // q-1
-    qm1 = BN_new();
-    BN_copy(qm1, params->q);
-    BN_sub_word(qm1, 1);
-
-    // ... and xb in [0, q-1)
-    user->xb = BN_new();
-    BN_rand_range(user->xb, qm1);
-    // [1, q)
-    BN_add_word(user->xb, 1);
-
-    // cleanup
-    BN_free(qm1);
-
-    // Show
-    printf("x%d", user->p.base);
-    showbn("", user->xa);
-    printf("x%d", user->p.base+1);
-    showbn("", user->xb);
-    }
-
-static void hashlength(SHA_CTX *sha, size_t l)
-    {
-    unsigned char b[2];
-
-    assert(l <= 0xffff);
-    b[0] = l >> 8;
-    b[1] = l&0xff;
-    SHA1_Update(sha, b, 2);
-    }
-
-static void hashstring(SHA_CTX *sha, const char *string)
-    {
-    size_t l = strlen(string);
-
-    hashlength(sha, l);
-    SHA1_Update(sha, string, l);
-    }
-
-static void hashbn(SHA_CTX *sha, const BIGNUM *bn)
-    {
-    size_t l = BN_num_bytes(bn);
-    unsigned char *bin = alloca(l);
-
-    hashlength(sha, l);
-    BN_bn2bin(bn, bin);
-    SHA1_Update(sha, bin, l);
-    }
-
-// h=hash(g, g^r, g^x, name)
-static void zkpHash(BIGNUM *h, const JPakeZKP *zkp, const BIGNUM *gx,
-		    const JPakeUserPublic *from, const JPakeParameters *params)
-    {
-    unsigned char md[SHA_DIGEST_LENGTH];
-    SHA_CTX sha;
-
-    // XXX: hash should not allow moving of the boundaries - Java code
-    // is flawed in this respect. Length encoding seems simplest.
-    SHA1_Init(&sha);
-    hashbn(&sha, params->g);
-    hashbn(&sha, zkp->gr);
-    hashbn(&sha, gx);
-    hashstring(&sha, from->name);
-    SHA1_Final(md, &sha);
-    BN_bin2bn(md, SHA_DIGEST_LENGTH, h);
-    }
-
-// Prove knowledge of x
-// Note that we don't send g^x because, as it happens, we've always
-// sent it elsewhere. Also note that because of that, we could avoid
-// calculating it here, but we don't, for clarity...
-static void CreateZKP(JPakeZKP *zkp, const BIGNUM *x, const JPakeUser *us,
-		      const BIGNUM *zkpg, const JPakeParameters *params,
-		      int n, const char *suffix)
-    {
-    BIGNUM *r = BN_new();
-    BIGNUM *gx = BN_new();
-    BIGNUM *h = BN_new();
-    BIGNUM *t = BN_new();
-
-    // r in [0,q)
-    // XXX: Java chooses r in [0, 2^160) - i.e. distribution not uniform
-    BN_rand_range(r, params->q);
-    // g^r
-    zkp->gr = BN_new();
-    BN_mod_exp(zkp->gr, zkpg, r, params->p, params->ctx);
-    // g^x
-    BN_mod_exp(gx, zkpg, x, params->p, params->ctx);
-
-    // h=hash...
-    zkpHash(h, zkp, gx, &us->p, params);
-    
-    // b = r - x*h
-    BN_mod_mul(t, x, h, params->q, params->ctx);
-    zkp->b = BN_new();
-    BN_mod_sub(zkp->b, r, t, params->q, params->ctx);
-
-    // show
-    printf("  ZKP(x%d%s)\n", n, suffix);
-    showbn("   zkpg", zkpg);
-    showbn("    g^x", gx);
-    showbn("    g^r", zkp->gr);
-    showbn("      b", zkp->b);
-
-    // cleanup
-    BN_free(t);
-    BN_free(h);
-    BN_free(gx);
-    BN_free(r);
-    }
-
-static int VerifyZKP(const JPakeZKP *zkp, BIGNUM *gx,
-		     const JPakeUserPublic *them, const BIGNUM *zkpg,
-		     const JPakeParameters *params, int n, const char *suffix)
-    {
-    BIGNUM *h = BN_new();
-    BIGNUM *t1 = BN_new();
-    BIGNUM *t2 = BN_new();
-    BIGNUM *t3 = BN_new();
-    int ret = 0;
-
-    zkpHash(h, zkp, gx, them, params);
-
-    // t1 = g^b
-    BN_mod_exp(t1, zkpg, zkp->b, params->p, params->ctx);
-    // t2 = (g^x)^h = g^{hx}
-    BN_mod_exp(t2, gx, h, params->p, params->ctx);
-    // t3 = t1 * t2 = g^{hx} * g^b = g^{hx+b} = g^r (allegedly)
-    BN_mod_mul(t3, t1, t2, params->p, params->ctx);
-
-    printf("  ZKP(x%d%s)\n", n, suffix);
-    showbn("    zkpg", zkpg);
-    showbn("    g^r'", t3);
-
-    // verify t3 == g^r
-    if(BN_cmp(t3, zkp->gr) == 0)
-	ret = 1;
-
-    // cleanup
-    BN_free(t3);
-    BN_free(t2);
-    BN_free(t1);
-    BN_free(h);
-
-    if(ret)
-	puts("    OK");
-    else
-	puts("    FAIL");
-
-    return ret;
-    }    
-
-static void sendstep1_substep(JPakeStep1 *s1, const BIGNUM *x,
-			      const JPakeUser *us,
-			      const JPakeParameters *params, int n)
-    {
-    s1->gx = BN_new();
-    BN_mod_exp(s1->gx, params->g, x, params->p, params->ctx);
-    printf("  g^{x%d}", n);
-    showbn("", s1->gx);
-
-    CreateZKP(&s1->zkpx, x, us, params->g, params, n, "");
-    }
-
-static void sendstep1(const JPakeUser *us, JPakeUserPublic *them,
-		      const JPakeParameters *params)
-    {
-    printf("\n%s sends %s:\n\n", us->p.name, them->name);
-
-    // from's g^xa (which becomes to's g^xc) and ZKP(xa)
-    sendstep1_substep(&them->s1c, us->xa, us, params, us->p.base);
-    // from's g^xb (which becomes to's g^xd) and ZKP(xb)
-    sendstep1_substep(&them->s1d, us->xb, us, params, us->p.base+1);
-    }
-
-static int verifystep1(const JPakeUser *us, const JPakeUserPublic *them,
-		       const JPakeParameters *params)
-    {
-    printf("\n%s verifies %s:\n\n", us->p.name, them->name);
-
-    // verify their ZKP(xc)
-    if(!VerifyZKP(&us->p.s1c.zkpx, us->p.s1c.gx, them, params->g, params,
-		  them->base, ""))
-	return 0;
-
-    // verify their ZKP(xd)
-    if(!VerifyZKP(&us->p.s1d.zkpx, us->p.s1d.gx, them, params->g, params,
-		  them->base+1, ""))
-	return 0;
-
-    // g^xd != 1
-    printf("  g^{x%d} != 1: ", them->base+1);
-    if(BN_is_one(us->p.s1d.gx))
-	{
-	puts("FAIL");
-	return 0;
-	}
-    puts("OK");
-
-    return 1;
-    }
-
-static void sendstep2(const JPakeUser *us, JPakeUserPublic *them,
-		      const JPakeParameters *params)
-    {
-    BIGNUM *t1 = BN_new();
-    BIGNUM *t2 = BN_new();
-
-    printf("\n%s sends %s:\n\n", us->p.name, them->name);
-
-    // X = g^{(xa + xc + xd) * xb * s}
-    // t1 = g^xa
-    BN_mod_exp(t1, params->g, us->xa, params->p, params->ctx);
-    // t2 = t1 * g^{xc} = g^{xa} * g^{xc} = g^{xa + xc}
-    BN_mod_mul(t2, t1, us->p.s1c.gx, params->p, params->ctx);
-    // t1 = t2 * g^{xd} = g^{xa + xc + xd}
-    BN_mod_mul(t1, t2, us->p.s1d.gx, params->p, params->ctx);
-    // t2 = xb * s
-    BN_mod_mul(t2, us->xb, us->secret, params->q, params->ctx);
-    // X = t1^{t2} = t1^{xb * s} = g^{(xa + xc + xd) * xb * s}
-    them->s2.X = BN_new();
-    BN_mod_exp(them->s2.X, t1, t2, params->p, params->ctx);
-
-    // Show
-    printf("  g^{(x%d + x%d + x%d) * x%d * s)", us->p.base, them->base,
-	   them->base+1, us->p.base+1);
-    showbn("", them->s2.X);
-
-    // ZKP(xb * s)
-    // XXX: this is kinda funky, because we're using
-    //
-    // g' = g^{xa + xc + xd}
-    //
-    // as the generator, which means X is g'^{xb * s}
-    CreateZKP(&them->s2.zkpxbs, t2, us, t1, params, us->p.base+1, " * s");
-
-    // cleanup
-    BN_free(t1);
-    BN_free(t2);
-    }
-
-static int verifystep2(const JPakeUser *us, const JPakeUserPublic *them,
-		       const JPakeParameters *params)
-    {
-    BIGNUM *t1 = BN_new();
-    BIGNUM *t2 = BN_new();
-    int ret = 0;
-
-    printf("\n%s verifies %s:\n\n", us->p.name, them->name);
-
-    // g' = g^{xc + xa + xb} [from our POV]
-    // t1 = xa + xb
-    BN_mod_add(t1, us->xa, us->xb, params->q, params->ctx);
-    // t2 = g^{t1} = g^{xa+xb}
-    BN_mod_exp(t2, params->g, t1, params->p, params->ctx);
-    // t1 = g^{xc} * t2 = g^{xc + xa + xb}
-    BN_mod_mul(t1, us->p.s1c.gx, t2, params->p, params->ctx);
-
-    if(VerifyZKP(&us->p.s2.zkpxbs, us->p.s2.X, them, t1, params, them->base+1,
-		  " * s"))
-	ret = 1;
-
-    // cleanup
-    BN_free(t2);
-    BN_free(t1);
-
-    return ret;
-    }
-
-static void computekey(JPakeUser *us, const JPakeParameters *params)
-    {
-    BIGNUM *t1 = BN_new();
-    BIGNUM *t2 = BN_new();
-    BIGNUM *t3 = BN_new();
-
-    printf("\n%s calculates the shared key:\n\n", us->p.name);
-
-    // K = (X/g^{xb * xd * s})^{xb}
-    //   = (g^{(xc + xa + xb) * xd * s - xb * xd *s})^{xb}
-    //   = (g^{(xa + xc) * xd * s})^{xb}
-    //   = g^{(xa + xc) * xb * xd * s}
-    // [which is the same regardless of who calculates it]
-
-    // t1 = (g^{xd})^{xb} = g^{xb * xd}
-    BN_mod_exp(t1, us->p.s1d.gx, us->xb, params->p, params->ctx);
-    // t2 = -s = q-s
-    BN_sub(t2, params->q, us->secret);
-    // t3 = t1^t2 = g^{-xb * xd * s}
-    BN_mod_exp(t3, t1, t2, params->p, params->ctx);
-    // t1 = X * t3 = X/g^{xb * xd * s}
-    BN_mod_mul(t1, us->p.s2.X, t3, params->p, params->ctx);
-    // K = t1^{xb}
-    us->key = BN_new();
-    BN_mod_exp(us->key, t1, us->xb, params->p, params->ctx);
-
-    // show
-    showbn("  K", us->key);
-
-    // cleanup
-    BN_free(t3);
-    BN_free(t2);
-    BN_free(t1);
-    }
-
-int main(int argc, char **argv)
-    {
-    JPakeParameters params;
-    JPakeUser alice, bob;
-
-    alice.p.name = "Alice";
-    alice.p.base = 1;
-    bob.p.name = "Bob";
-    bob.p.base = 3;
-
-    JPakeParametersInit(&params);
-
-    // Shared secret
-    alice.secret = BN_new();
-    BN_rand(alice.secret, 32, -1, 0);
-    bob.secret = alice.secret;
-    showbn("secret", alice.secret);
-
-    assert(BN_cmp(alice.secret, params.q) < 0);
-
-    // Alice's x1, x2
-    genrand(&alice, &params);
-
-    // Bob's x3, x4
-    genrand(&bob, &params);
-
-    // Now send stuff to each other...
-    sendstep1(&alice, &bob.p, &params);
-    sendstep1(&bob, &alice.p, &params);
-
-    // And verify what each other sent
-    if(!verifystep1(&alice, &bob.p, &params))
-	return 1;
-    if(!verifystep1(&bob, &alice.p, &params))
-	return 2;
-
-    // Second send
-    sendstep2(&alice, &bob.p, &params);
-    sendstep2(&bob, &alice.p, &params);
-
-    // And second verify
-    if(!verifystep2(&alice, &bob.p, &params))
-	return 3;
-    if(!verifystep2(&bob, &alice.p, &params))
-	return 4;
-
-    // Compute common key
-    computekey(&alice, &params);
-    computekey(&bob, &params);
-
-    // Confirm the common key is identical
-    // XXX: if the two secrets are not the same, everything works up
-    // to this point, so the only way to detect a failure is by the
-    // difference in the calculated keys.
-    // Since we're all the same code, just compare them directly. In a
-    // real system, Alice sends Bob H(H(K)), Bob checks it, then sends
-    // back H(K), which Alice checks, or something equivalent.
-    puts("\nAlice and Bob check keys are the same:");
-    if(BN_cmp(alice.key, bob.key) == 0)
-	puts("  OK");
-    else
-	{
-	puts("  FAIL");
-	return 5;
-	}
-
-    return 0;
-    }