Fix some picky compiler warnings kindly provided by Borland C++ 5.5
[u/mdw/putty] / sshrsa.c
1 /*
2 * RSA implementation just sufficient for ssh client-side
3 * initialisation step
4 *
5 * Rewritten for more speed by Joris van Rantwijk, Jun 1999.
6 */
7
8 #include <stdio.h>
9 #include <stdlib.h>
10 #include <string.h>
11
12 #include "ssh.h"
13
14 typedef unsigned short *Bignum;
15
16 static unsigned short Zero[1] = { 0 };
17
18 #if defined TESTMODE || defined RSADEBUG
19 #ifndef DLVL
20 #define DLVL 10000
21 #endif
22 #define debug(x) bndebug(#x,x)
23 static int level = 0;
24 static void bndebug(char *name, Bignum b) {
25 int i;
26 int w = 50-level-strlen(name)-5*b[0];
27 if (level >= DLVL)
28 return;
29 if (w < 0) w = 0;
30 dprintf("%*s%s%*s", level, "", name, w, "");
31 for (i=b[0]; i>0; i--)
32 dprintf(" %04x", b[i]);
33 dprintf("\n");
34 }
35 #define dmsg(x) do {if(level<DLVL){dprintf("%*s",level,"");printf x;}} while(0)
36 #define enter(x) do { dmsg(x); level += 4; } while(0)
37 #define leave(x) do { level -= 4; dmsg(x); } while(0)
38 #else
39 #define debug(x)
40 #define dmsg(x)
41 #define enter(x)
42 #define leave(x)
43 #endif
44
45 static Bignum newbn(int length) {
46 Bignum b = malloc((length+1)*sizeof(unsigned short));
47 if (!b)
48 abort(); /* FIXME */
49 b[0] = length;
50 return b;
51 }
52
53 static void freebn(Bignum b) {
54 free(b);
55 }
56
57 /*
58 * Compute c = a * b.
59 * Input is in the first len words of a and b.
60 * Result is returned in the first 2*len words of c.
61 */
62 static void bigmul(unsigned short *a, unsigned short *b, unsigned short *c,
63 int len)
64 {
65 int i, j;
66 unsigned long ai, t;
67
68 for (j = len - 1; j >= 0; j--)
69 c[j+len] = 0;
70
71 for (i = len - 1; i >= 0; i--) {
72 ai = a[i];
73 t = 0;
74 for (j = len - 1; j >= 0; j--) {
75 t += ai * (unsigned long) b[j];
76 t += (unsigned long) c[i+j+1];
77 c[i+j+1] = (unsigned short)t;
78 t = t >> 16;
79 }
80 c[i] = (unsigned short)t;
81 }
82 }
83
84 /*
85 * Compute a = a % m.
86 * Input in first 2*len words of a and first len words of m.
87 * Output in first 2*len words of a (of which first len words will be zero).
88 * The MSW of m MUST have its high bit set.
89 */
90 static void bigmod(unsigned short *a, unsigned short *m, int len)
91 {
92 unsigned short m0, m1;
93 unsigned int h;
94 int i, k;
95
96 /* Special case for len == 1 */
97 if (len == 1) {
98 a[1] = (((long) a[0] << 16) + a[1]) % m[0];
99 a[0] = 0;
100 return;
101 }
102
103 m0 = m[0];
104 m1 = m[1];
105
106 for (i = 0; i <= len; i++) {
107 unsigned long t;
108 unsigned int q, r, c;
109
110 if (i == 0) {
111 h = 0;
112 } else {
113 h = a[i-1];
114 a[i-1] = 0;
115 }
116
117 /* Find q = h:a[i] / m0 */
118 t = ((unsigned long) h << 16) + a[i];
119 q = t / m0;
120 r = t % m0;
121
122 /* Refine our estimate of q by looking at
123 h:a[i]:a[i+1] / m0:m1 */
124 t = (long) m1 * (long) q;
125 if (t > ((unsigned long) r << 16) + a[i+1]) {
126 q--;
127 t -= m1;
128 r = (r + m0) & 0xffff; /* overflow? */
129 if (r >= (unsigned long)m0 &&
130 t > ((unsigned long) r << 16) + a[i+1])
131 q--;
132 }
133
134 /* Substract q * m from a[i...] */
135 c = 0;
136 for (k = len - 1; k >= 0; k--) {
137 t = (long) q * (long) m[k];
138 t += c;
139 c = t >> 16;
140 if ((unsigned short) t > a[i+k]) c++;
141 a[i+k] -= (unsigned short) t;
142 }
143
144 /* Add back m in case of borrow */
145 if (c != h) {
146 t = 0;
147 for (k = len - 1; k >= 0; k--) {
148 t += m[k];
149 t += a[i+k];
150 a[i+k] = (unsigned short)t;
151 t = t >> 16;
152 }
153 }
154 }
155 }
156
157 /*
158 * Compute (base ^ exp) % mod.
159 * The base MUST be smaller than the modulus.
160 * The most significant word of mod MUST be non-zero.
161 * We assume that the result array is the same size as the mod array.
162 */
163 static void modpow(Bignum base, Bignum exp, Bignum mod, Bignum result)
164 {
165 unsigned short *a, *b, *n, *m;
166 int mshift;
167 int mlen, i, j;
168
169 /* Allocate m of size mlen, copy mod to m */
170 /* We use big endian internally */
171 mlen = mod[0];
172 m = malloc(mlen * sizeof(unsigned short));
173 for (j = 0; j < mlen; j++) m[j] = mod[mod[0] - j];
174
175 /* Shift m left to make msb bit set */
176 for (mshift = 0; mshift < 15; mshift++)
177 if ((m[0] << mshift) & 0x8000) break;
178 if (mshift) {
179 for (i = 0; i < mlen - 1; i++)
180 m[i] = (m[i] << mshift) | (m[i+1] >> (16-mshift));
181 m[mlen-1] = m[mlen-1] << mshift;
182 }
183
184 /* Allocate n of size mlen, copy base to n */
185 n = malloc(mlen * sizeof(unsigned short));
186 i = mlen - base[0];
187 for (j = 0; j < i; j++) n[j] = 0;
188 for (j = 0; j < base[0]; j++) n[i+j] = base[base[0] - j];
189
190 /* Allocate a and b of size 2*mlen. Set a = 1 */
191 a = malloc(2 * mlen * sizeof(unsigned short));
192 b = malloc(2 * mlen * sizeof(unsigned short));
193 for (i = 0; i < 2*mlen; i++) a[i] = 0;
194 a[2*mlen-1] = 1;
195
196 /* Skip leading zero bits of exp. */
197 i = 0; j = 15;
198 while (i < exp[0] && (exp[exp[0] - i] & (1 << j)) == 0) {
199 j--;
200 if (j < 0) { i++; j = 15; }
201 }
202
203 /* Main computation */
204 while (i < exp[0]) {
205 while (j >= 0) {
206 bigmul(a + mlen, a + mlen, b, mlen);
207 bigmod(b, m, mlen);
208 if ((exp[exp[0] - i] & (1 << j)) != 0) {
209 bigmul(b + mlen, n, a, mlen);
210 bigmod(a, m, mlen);
211 } else {
212 unsigned short *t;
213 t = a; a = b; b = t;
214 }
215 j--;
216 }
217 i++; j = 15;
218 }
219
220 /* Fixup result in case the modulus was shifted */
221 if (mshift) {
222 for (i = mlen - 1; i < 2*mlen - 1; i++)
223 a[i] = (a[i] << mshift) | (a[i+1] >> (16-mshift));
224 a[2*mlen-1] = a[2*mlen-1] << mshift;
225 bigmod(a, m, mlen);
226 for (i = 2*mlen - 1; i >= mlen; i--)
227 a[i] = (a[i] >> mshift) | (a[i-1] << (16-mshift));
228 }
229
230 /* Copy result to buffer */
231 for (i = 0; i < mlen; i++)
232 result[result[0] - i] = a[i+mlen];
233
234 /* Free temporary arrays */
235 for (i = 0; i < 2*mlen; i++) a[i] = 0; free(a);
236 for (i = 0; i < 2*mlen; i++) b[i] = 0; free(b);
237 for (i = 0; i < mlen; i++) m[i] = 0; free(m);
238 for (i = 0; i < mlen; i++) n[i] = 0; free(n);
239 }
240
241 int makekey(unsigned char *data, struct RSAKey *result,
242 unsigned char **keystr) {
243 unsigned char *p = data;
244 Bignum bn[2];
245 int i, j;
246 int w, b;
247
248 result->bits = 0;
249 for (i=0; i<4; i++)
250 result->bits = (result->bits << 8) + *p++;
251
252 for (j=0; j<2; j++) {
253
254 w = 0;
255 for (i=0; i<2; i++)
256 w = (w << 8) + *p++;
257
258 result->bytes = b = (w+7)/8; /* bits -> bytes */
259 w = (w+15)/16; /* bits -> words */
260
261 bn[j] = newbn(w);
262
263 if (keystr) *keystr = p; /* point at key string, second time */
264
265 for (i=1; i<=w; i++)
266 bn[j][i] = 0;
267 for (i=0; i<b; i++) {
268 unsigned char byte = *p++;
269 if ((b-i) & 1)
270 bn[j][w-i/2] |= byte;
271 else
272 bn[j][w-i/2] |= byte<<8;
273 }
274
275 debug(bn[j]);
276
277 }
278
279 result->exponent = bn[0];
280 result->modulus = bn[1];
281
282 return p - data;
283 }
284
285 void rsaencrypt(unsigned char *data, int length, struct RSAKey *key) {
286 Bignum b1, b2;
287 int w, i;
288 unsigned char *p;
289
290 debug(key->exponent);
291
292 memmove(data+key->bytes-length, data, length);
293 data[0] = 0;
294 data[1] = 2;
295
296 for (i = 2; i < key->bytes-length-1; i++) {
297 do {
298 data[i] = random_byte();
299 } while (data[i] == 0);
300 }
301 data[key->bytes-length-1] = 0;
302
303 w = (key->bytes+1)/2;
304
305 b1 = newbn(w);
306 b2 = newbn(w);
307
308 p = data;
309 for (i=1; i<=w; i++)
310 b1[i] = 0;
311 for (i=0; i<key->bytes; i++) {
312 unsigned char byte = *p++;
313 if ((key->bytes-i) & 1)
314 b1[w-i/2] |= byte;
315 else
316 b1[w-i/2] |= byte<<8;
317 }
318
319 debug(b1);
320
321 modpow(b1, key->exponent, key->modulus, b2);
322
323 debug(b2);
324
325 p = data;
326 for (i=0; i<key->bytes; i++) {
327 unsigned char b;
328 if (i & 1)
329 b = b2[w-i/2] & 0xFF;
330 else
331 b = b2[w-i/2] >> 8;
332 *p++ = b;
333 }
334
335 freebn(b1);
336 freebn(b2);
337 }
338
339 int rsastr_len(struct RSAKey *key) {
340 Bignum md, ex;
341
342 md = key->modulus;
343 ex = key->exponent;
344 return 4 * (ex[0]+md[0]) + 10;
345 }
346
347 void rsastr_fmt(char *str, struct RSAKey *key) {
348 Bignum md, ex;
349 int len = 0, i;
350
351 md = key->modulus;
352 ex = key->exponent;
353
354 for (i=1; i<=ex[0]; i++) {
355 sprintf(str+len, "%04x", ex[i]);
356 len += strlen(str+len);
357 }
358 str[len++] = '/';
359 for (i=1; i<=md[0]; i++) {
360 sprintf(str+len, "%04x", md[i]);
361 len += strlen(str+len);
362 }
363 str[len] = '\0';
364 }
365
366 #ifdef TESTMODE
367
368 #ifndef NODDY
369 #define p1 10007
370 #define p2 10069
371 #define p3 10177
372 #else
373 #define p1 3
374 #define p2 7
375 #define p3 13
376 #endif
377
378 unsigned short P1[2] = { 1, p1 };
379 unsigned short P2[2] = { 1, p2 };
380 unsigned short P3[2] = { 1, p3 };
381 unsigned short bigmod[5] = { 4, 0, 0, 0, 32768U };
382 unsigned short mod[5] = { 4, 0, 0, 0, 0 };
383 unsigned short a[5] = { 4, 0, 0, 0, 0 };
384 unsigned short b[5] = { 4, 0, 0, 0, 0 };
385 unsigned short c[5] = { 4, 0, 0, 0, 0 };
386 unsigned short One[2] = { 1, 1 };
387 unsigned short Two[2] = { 1, 2 };
388
389 int main(void) {
390 modmult(P1, P2, bigmod, a); debug(a);
391 modmult(a, P3, bigmod, mod); debug(mod);
392
393 sub(P1, One, a); debug(a);
394 sub(P2, One, b); debug(b);
395 modmult(a, b, bigmod, c); debug(c);
396 sub(P3, One, a); debug(a);
397 modmult(a, c, bigmod, b); debug(b);
398
399 modpow(Two, b, mod, a); debug(a);
400
401 return 0;
402 }
403
404 #endif