3 * $Id: diffan.c,v 1.3 2000/07/02 15:21:20 mdw Exp $
5 * Differential analysis of matrix multiplication
7 * (c) 2000 Mark Wooding
10 /*----- Licensing notice --------------------------------------------------*
12 * Copyright (c) 2000 Mark Wooding
13 * All rights reserved.
15 * Redistribution and use in source and binary forms, with or without
16 * modification, are permitted provided that the following conditions are
19 * 1. Redistributions of source code must retain the above copyright
20 * notice, this list of conditions and the following disclaimer.
22 * 2, Redistributions in binary form must reproduce the above copyright
23 * notice, this list of conditions and the following disclaimer in the
24 * documentation and/or other materials provided with the distribution.
26 * 3. The name of the authors may not be used to endorse or promote
27 * products derived from this software without specific prior written
30 * THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED
31 * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
32 * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN
33 * NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
34 * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
35 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
36 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
37 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
38 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
39 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
40 * POSSIBILITY OF SUCH DAMAGE.
42 * Instead of accepting the above terms, you may redistribute and/or modify
43 * this software under the terms of either the GNU General Public License,
44 * or the GNU Library General Public License, published by the Free
45 * Software Foundation; either version 2 of the License, or (at your
46 * option) any later version.
49 /*----- Revision history --------------------------------------------------*
52 * Revision 1.3 2000/07/02 15:21:20 mdw
55 * Revision 1.2 2000/05/28 00:39:52 mdw
56 * Bad bug makes all previous testing worthless.
58 * Revision 1.1 2000/05/21 11:28:30 mdw
63 /*----- Header files ------------------------------------------------------*/
72 #include "storin-tab.h"
74 /*----- The constant matrix -----------------------------------------------*/
76 static const uint24 m
[] = STORIN_M
;
78 /*----- Magic numbers -----------------------------------------------------*/
83 /*----- Static variables --------------------------------------------------*/
87 /*----- Main code ---------------------------------------------------------*/
94 static void probe(uint24
*delta
)
103 for (i
= 0; i
< PROBES
; i
++) {
111 for (j
= 0; j
< 4; j
++) {
112 x
[j
] = U24(fibrand_step(&r
));
113 y
[j
] = x
[j
] ^ delta
[j
];
116 matmul(xi
, m
, x
, 4, 4, 1);
117 matmul(yi
, m
, y
, 4, 4, 1);
119 for (j
= 0; j
< 4; j
++)
120 dd
[j
] = xi
[j
] ^ yi
[j
];
122 STORE24(db
+ 0, dd
[0]);
123 STORE24(db
+ 3, dd
[1]);
124 STORE24(db
+ 6, dd
[2]);
125 STORE24(db
+ 9, dd
[3]);
127 p
= sym_find(&t
, (char *)db
, 12, sizeof(*p
), &c
);
134 for (j
= 0; j
< 4; j
++)
142 printf("%06x %06x %06x %06x -> %06x %06x %06x %06x: %u\n",
143 delta
[0], delta
[1], delta
[2], delta
[3],
144 mout
[0], mout
[1], mout
[2], mout
[3], max
);
148 static void rdiff(uint24
*delta
, unsigned i
, unsigned n
)
154 for (; i
< 96; i
++) {
155 uint24
*dd
= delta
+ i
/ 24;
156 uint24 m
= 1 << (i
% 24);
158 rdiff(delta
, i
+ 1, n
- 1);
163 static void bitdiffs(unsigned n
)
165 uint24 delta
[4] = { 0 };
175 fibrand_lcseed(&r
, 0);
177 for (i
= 1; i
<= EXHAUST
; i
++)
180 printf("*** ok, trying random probing\n");
183 for (j
= 0; j
< 4; j
++)
184 delta
[j
] = U24(fibrand_step(&r
));
191 /*----- That's all, folks -------------------------------------------------*/