1
0
mirror of https://git.tartarus.org/simon/putty.git synced 2025-01-10 01:48:00 +00:00

Joris's RSA works; reformat and remove old version

[originally from svn r173]
This commit is contained in:
Simon Tatham 1999-07-06 19:38:54 +00:00
parent b84caf5446
commit 4b76ca2ab2

499
sshrsa.c
View File

@ -1,16 +1,10 @@
/* /*
* RSA implementation just sufficient for ssh client-side * RSA implementation just sufficient for ssh client-side
* initialisation step * initialisation step
* Modified by Joris, Jun 1999. *
* Rewritten for more speed by Joris van Rantwijk, Jun 1999.
*/ */
#define JORIS_RSA
/*#include <windows.h>
#define RSADEBUG
#define DLVL 2
#include "stel.h"*/
#include <stdio.h> #include <stdio.h>
#include <stdlib.h> #include <stdlib.h>
#include <string.h> #include <string.h>
@ -60,386 +54,189 @@ static void freebn(Bignum b) {
free(b); free(b);
} }
#ifdef JORIS_RSA
/* /*
* Compute c = a * b. * Compute c = a * b.
* Input is in the first len words of a and b. * Input is in the first len words of a and b.
* Result is returned in the first 2*len words of c. * Result is returned in the first 2*len words of c.
*/ */
static void bigmul(unsigned short *a, unsigned short *b, unsigned short *c, static void bigmul(unsigned short *a, unsigned short *b, unsigned short *c,
int len) int len)
{ {
int i, j; int i, j;
unsigned long ai, t; unsigned long ai, t;
for (j = len - 1; j >= 0; j--) for (j = len - 1; j >= 0; j--)
c[j+len] = 0; c[j+len] = 0;
for (i = len - 1; i >= 0; i--) { for (i = len - 1; i >= 0; i--) {
ai = a[i]; ai = a[i];
t = 0; t = 0;
for (j = len - 1; j >= 0; j--) { for (j = len - 1; j >= 0; j--) {
t += ai * (unsigned long) b[j]; t += ai * (unsigned long) b[j];
t += (unsigned long) c[i+j+1]; t += (unsigned long) c[i+j+1];
c[i+j+1] = t; c[i+j+1] = (unsigned short)t;
t = t >> 16; t = t >> 16;
} }
c[i] = t; c[i] = (unsigned short)t;
} }
} }
/* /*
* Compute a = a % m. * Compute a = a % m.
* Input in first 2*len words of a and first len words of m. * Input in first 2*len words of a and first len words of m.
* Output in first 2*len words of a (of which first len words will be zero). * Output in first 2*len words of a (of which first len words will be zero).
* The MSW of m MUST have its high bit set. * The MSW of m MUST have its high bit set.
*/ */
static void bigmod(unsigned short *a, unsigned short *m, int len) static void bigmod(unsigned short *a, unsigned short *m, int len)
{ {
unsigned short m0, m1; unsigned short m0, m1;
unsigned int h; unsigned int h;
int i, k; int i, k;
/* Special case for len == 1 */ /* Special case for len == 1 */
if (len == 1) { if (len == 1) {
a[1] = (((long) a[0] << 16) + a[1]) % m[0]; a[1] = (((long) a[0] << 16) + a[1]) % m[0];
a[0] = 0; a[0] = 0;
return; return;
}
m0 = m[0];
m1 = m[1];
for (i = 0; i <= len; i++) {
unsigned long t;
unsigned int q, r, c;
if (i == 0) {
h = 0;
} else {
h = a[i-1];
a[i-1] = 0;
} }
m0 = m[0]; /* Find q = h:a[i] / m0 */
m1 = m[1]; t = ((unsigned long) h << 16) + a[i];
q = t / m0;
r = t % m0;
for (i = 0; i <= len; i++) { /* Refine our estimate of q by looking at
unsigned long t; h:a[i]:a[i+1] / m0:m1 */
unsigned int q, r, c; t = (long) m1 * (long) q;
if (t > ((unsigned long) r << 16) + a[i+1]) {
if (i == 0) { q--;
h = 0; t -= m1;
} else { r = (r + m0) & 0xffff; /* overflow? */
h = a[i-1]; if (r >= m0 && t > ((unsigned long) r << 16) + a[i+1])
a[i-1] = 0; q--;
}
/* Find q = h:a[i] / m0 */
t = ((unsigned long) h << 16) + a[i];
q = t / m0;
r = t % m0;
/* Refine our estimate of q by looking at
h:a[i]:a[i+1] / m0:m1 */
t = (long) m1 * (long) q;
if (t > ((unsigned long) r << 16) + a[i+1]) {
q--;
t -= m1;
r = (r + m0) & 0xffff; /* overflow? */
if (r >= m0 && t > ((unsigned long) r << 16) + a[i+1])
q--;
}
/* Substract q * m from a[i...] */
c = 0;
for (k = len - 1; k >= 0; k--) {
t = (long) q * (long) m[k];
t += c;
c = t >> 16;
if ((unsigned short) t > a[i+k]) c++;
a[i+k] -= (unsigned short) t;
}
/* Add back m in case of borrow */
if (c != h) {
t = 0;
for (k = len - 1; k >= 0; k--) {
t += m[k];
t += a[i+k];
a[i+k] = t;
t = t >> 16;
}
}
} }
/* Substract q * m from a[i...] */
c = 0;
for (k = len - 1; k >= 0; k--) {
t = (long) q * (long) m[k];
t += c;
c = t >> 16;
if ((unsigned short) t > a[i+k]) c++;
a[i+k] -= (unsigned short) t;
}
/* Add back m in case of borrow */
if (c != h) {
t = 0;
for (k = len - 1; k >= 0; k--) {
t += m[k];
t += a[i+k];
a[i+k] = (unsigned short)t;
t = t >> 16;
}
}
}
} }
/* /*
* Compute (base ^ exp) % mod. * Compute (base ^ exp) % mod.
* The base MUST be smaller than the modulus. * The base MUST be smaller than the modulus.
* The most significant word of mod MUST be non-zero. * The most significant word of mod MUST be non-zero.
* We assume that the result array is the same size as the mod array. * We assume that the result array is the same size as the mod array.
*/ */
static void modpow(Bignum base, Bignum exp, Bignum mod, Bignum result) static void modpow(Bignum base, Bignum exp, Bignum mod, Bignum result)
{ {
unsigned short *a, *b, *n, *m; unsigned short *a, *b, *n, *m;
int mshift; int mshift;
int mlen, i, j; int mlen, i, j;
/* Allocate m of size mlen, copy mod to m */ /* Allocate m of size mlen, copy mod to m */
/* We use big endian internally */ /* We use big endian internally */
mlen = mod[0]; mlen = mod[0];
m = malloc(mlen * sizeof(unsigned short)); m = malloc(mlen * sizeof(unsigned short));
for (j = 0; j < mlen; j++) m[j] = mod[mod[0] - j]; for (j = 0; j < mlen; j++) m[j] = mod[mod[0] - j];
/* Shift m left to make msb bit set */ /* Shift m left to make msb bit set */
for (mshift = 0; mshift < 15; mshift++) for (mshift = 0; mshift < 15; mshift++)
if ((m[0] << mshift) & 0x8000) break; if ((m[0] << mshift) & 0x8000) break;
if (mshift) { if (mshift) {
for (i = 0; i < mlen - 1; i++) for (i = 0; i < mlen - 1; i++)
m[i] = (m[i] << mshift) | (m[i+1] >> (16-mshift)); m[i] = (m[i] << mshift) | (m[i+1] >> (16-mshift));
m[mlen-1] = m[mlen-1] << mshift; m[mlen-1] = m[mlen-1] << mshift;
} }
/* Allocate n of size mlen, copy base to n */ /* Allocate n of size mlen, copy base to n */
n = malloc(mlen * sizeof(unsigned short)); n = malloc(mlen * sizeof(unsigned short));
i = mlen - base[0]; i = mlen - base[0];
for (j = 0; j < i; j++) n[j] = 0; for (j = 0; j < i; j++) n[j] = 0;
for (j = 0; j < base[0]; j++) n[i+j] = base[base[0] - j]; for (j = 0; j < base[0]; j++) n[i+j] = base[base[0] - j];
/* Allocate a and b of size 2*mlen. Set a = 1 */ /* Allocate a and b of size 2*mlen. Set a = 1 */
a = malloc(2 * mlen * sizeof(unsigned short)); a = malloc(2 * mlen * sizeof(unsigned short));
b = malloc(2 * mlen * sizeof(unsigned short)); b = malloc(2 * mlen * sizeof(unsigned short));
for (i = 0; i < 2*mlen; i++) a[i] = 0; for (i = 0; i < 2*mlen; i++) a[i] = 0;
a[2*mlen-1] = 1; a[2*mlen-1] = 1;
/* Skip leading zero bits of exp. */ /* Skip leading zero bits of exp. */
i = 0; j = 15; i = 0; j = 15;
while (i < exp[0] && (exp[exp[0] - i] & (1 << j)) == 0) { while (i < exp[0] && (exp[exp[0] - i] & (1 << j)) == 0) {
j--; j--;
if (j < 0) { i++; j = 15; } if (j < 0) { i++; j = 15; }
} }
/* Main computation */ /* Main computation */
while (i < exp[0]) { while (i < exp[0]) {
while (j >= 0) { while (j >= 0) {
bigmul(a + mlen, a + mlen, b, mlen); bigmul(a + mlen, a + mlen, b, mlen);
bigmod(b, m, mlen); bigmod(b, m, mlen);
if ((exp[exp[0] - i] & (1 << j)) != 0) { if ((exp[exp[0] - i] & (1 << j)) != 0) {
bigmul(b + mlen, n, a, mlen); bigmul(b + mlen, n, a, mlen);
bigmod(a, m, mlen);
} else {
unsigned short *t;
t = a; a = b; b = t;
}
j--;
}
i++; j = 15;
}
/* Fixup result in case the modulus was shifted */
if (mshift) {
for (i = mlen - 1; i < 2*mlen - 1; i++)
a[i] = (a[i] << mshift) | (a[i+1] >> (16-mshift));
a[2*mlen-1] = a[2*mlen-1] << mshift;
bigmod(a, m, mlen); bigmod(a, m, mlen);
for (i = 2*mlen - 1; i >= mlen; i--) } else {
a[i] = (a[i] >> mshift) | (a[i-1] << (16-mshift)); unsigned short *t;
t = a; a = b; b = t;
}
j--;
} }
i++; j = 15;
/* Copy result to buffer */
for (i = 0; i < mlen; i++)
result[result[0] - i] = a[i+mlen];
/* Free temporary arrays */
for (i = 0; i < 2*mlen; i++) a[i] = 0; free(a);
for (i = 0; i < 2*mlen; i++) b[i] = 0; free(b);
for (i = 0; i < mlen; i++) m[i] = 0; free(m);
for (i = 0; i < mlen; i++) n[i] = 0; free(n);
}
#else
static int msb(Bignum r) {
int i;
int j;
unsigned short n;
for (i=r[0]; i>0; i--)
if (r[i])
break;
j = (i-1)*16;
n = r[i];
if (n & 0xFF00) j += 8, n >>= 8;
if (n & 0x00F0) j += 4, n >>= 4;
if (n & 0x000C) j += 2, n >>= 2;
if (n & 0x0002) j += 1, n >>= 1;
return j;
}
static void add(Bignum r1, Bignum r2, Bignum result) {
int i;
long stuff = 0;
enter((">add\n"));
debug(r1);
debug(r2);
for (i = 1 ;; i++) {
if (i <= r1[0])
stuff += r1[i];
if (i <= r2[0])
stuff += r2[i];
if (i <= result[0])
result[i] = stuff & 0xFFFFU;
if (i > r1[0] && i > r2[0] && i >= result[0])
break;
stuff >>= 16;
} }
debug(result); /* Fixup result in case the modulus was shifted */
leave(("<add\n")); if (mshift) {
} for (i = mlen - 1; i < 2*mlen - 1; i++)
a[i] = (a[i] << mshift) | (a[i+1] >> (16-mshift));
static void sub(Bignum r1, Bignum r2, Bignum result) { a[2*mlen-1] = a[2*mlen-1] << mshift;
int i; bigmod(a, m, mlen);
long stuff = 0; for (i = 2*mlen - 1; i >= mlen; i--)
a[i] = (a[i] >> mshift) | (a[i-1] << (16-mshift));
enter((">sub\n"));
debug(r1);
debug(r2);
for (i = 1 ;; i++) {
if (i <= r1[0])
stuff += r1[i];
if (i <= r2[0])
stuff -= r2[i];
if (i <= result[0])
result[i] = stuff & 0xFFFFU;
if (i > r1[0] && i > r2[0] && i >= result[0])
break;
stuff = stuff<0 ? -1 : 0;
} }
debug(result); /* Copy result to buffer */
leave(("<sub\n")); for (i = 0; i < mlen; i++)
result[result[0] - i] = a[i+mlen];
/* Free temporary arrays */
for (i = 0; i < 2*mlen; i++) a[i] = 0; free(a);
for (i = 0; i < 2*mlen; i++) b[i] = 0; free(b);
for (i = 0; i < mlen; i++) m[i] = 0; free(m);
for (i = 0; i < mlen; i++) n[i] = 0; free(n);
} }
static int ge(Bignum r1, Bignum r2) {
int i;
enter((">ge\n"));
debug(r1);
debug(r2);
if (r1[0] < r2[0])
i = r2[0];
else
i = r1[0];
while (i > 0) {
unsigned short n1 = (i > r1[0] ? 0 : r1[i]);
unsigned short n2 = (i > r2[0] ? 0 : r2[i]);
if (n1 > n2) {
dmsg(("greater\n"));
leave(("<ge\n"));
return 1; /* r1 > r2 */
} else if (n1 < n2) {
dmsg(("less\n"));
leave(("<ge\n"));
return 0; /* r1 < r2 */
}
i--;
}
dmsg(("equal\n"));
leave(("<ge\n"));
return 1; /* r1 = r2 */
}
static void modmult(Bignum r1, Bignum r2, Bignum modulus, Bignum result) {
Bignum temp = newbn(modulus[0]+1);
Bignum tmp2 = newbn(modulus[0]+1);
int i;
int bit, bits, digit, smallbit;
enter((">modmult\n"));
debug(r1);
debug(r2);
debug(modulus);
for (i=1; i<=result[0]; i++)
result[i] = 0; /* result := 0 */
for (i=1; i<=temp[0]; i++)
temp[i] = (i > r2[0] ? 0 : r2[i]); /* temp := r2 */
bits = 1+msb(r1);
for (bit = 0; bit < bits; bit++) {
digit = 1 + bit / 16;
smallbit = bit % 16;
debug(temp);
if (digit <= r1[0] && (r1[digit] & (1<<smallbit))) {
dmsg(("bit %d\n", bit));
add(temp, result, tmp2);
if (ge(tmp2, modulus))
sub(tmp2, modulus, result);
else
add(tmp2, Zero, result);
debug(result);
}
add(temp, temp, tmp2);
if (ge(tmp2, modulus))
sub(tmp2, modulus, temp);
else
add(tmp2, Zero, temp);
}
freebn(temp);
freebn(tmp2);
debug(result);
leave(("<modmult\n"));
}
static void modpow(Bignum r1, Bignum r2, Bignum modulus, Bignum result) {
Bignum temp = newbn(modulus[0]+1);
Bignum tmp2 = newbn(modulus[0]+1);
int i;
int bit, bits, digit, smallbit;
enter((">modpow\n"));
debug(r1);
debug(r2);
debug(modulus);
for (i=1; i<=result[0]; i++)
result[i] = (i==1); /* result := 1 */
for (i=1; i<=temp[0]; i++)
temp[i] = (i > r1[0] ? 0 : r1[i]); /* temp := r1 */
bits = 1+msb(r2);
for (bit = 0; bit < bits; bit++) {
digit = 1 + bit / 16;
smallbit = bit % 16;
debug(temp);
if (digit <= r2[0] && (r2[digit] & (1<<smallbit))) {
dmsg(("bit %d\n", bit));
modmult(temp, result, modulus, tmp2);
add(tmp2, Zero, result);
debug(result);
}
modmult(temp, temp, modulus, tmp2);
add(tmp2, Zero, temp);
}
freebn(temp);
freebn(tmp2);
debug(result);
leave(("<modpow\n"));
}
#endif
int makekey(unsigned char *data, struct RSAKey *result, int makekey(unsigned char *data, struct RSAKey *result,
unsigned char **keystr) { unsigned char **keystr) {
unsigned char *p = data; unsigned char *p = data;