| 1 | /* -*-c-*- |
| 2 | * |
| 3 | * $Id: diffan.c,v 1.1 2000/05/21 11:28:30 mdw Exp $ |
| 4 | * |
| 5 | * Differential analysis of matrix multiplication |
| 6 | * |
| 7 | * (c) 2000 Mark Wooding |
| 8 | */ |
| 9 | |
| 10 | /*----- Licensing notice --------------------------------------------------* |
| 11 | * |
| 12 | * Copyright (c) 2000 Mark Wooding |
| 13 | * All rights reserved. |
| 14 | * |
| 15 | * Redistribution and use in source and binary forms, with or without |
| 16 | * modification, are permitted provided that the following conditions are |
| 17 | * met: |
| 18 | * |
| 19 | * 1. Redistributions of source code must retain the above copyright |
| 20 | * notice, this list of conditions and the following disclaimer. |
| 21 | * |
| 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. |
| 25 | * |
| 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 |
| 28 | * permission. |
| 29 | * |
| 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 REGENTS 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. |
| 41 | * |
| 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. |
| 47 | */ |
| 48 | |
| 49 | /*----- Revision history --------------------------------------------------* |
| 50 | * |
| 51 | * $Log: diffan.c,v $ |
| 52 | * Revision 1.1 2000/05/21 11:28:30 mdw |
| 53 | * Initial check-in. |
| 54 | * |
| 55 | */ |
| 56 | |
| 57 | /*----- Header files ------------------------------------------------------*/ |
| 58 | |
| 59 | #include <stdio.h> |
| 60 | #include <stdlib.h> |
| 61 | |
| 62 | #include "bits.h" |
| 63 | #include "sym.h" |
| 64 | #include "fibrand.h" |
| 65 | #include "matrix.h" |
| 66 | #include "storin-tab.h" |
| 67 | |
| 68 | /*----- The constant matrix -----------------------------------------------*/ |
| 69 | |
| 70 | static const uint24 m[] = STORIN_M; |
| 71 | |
| 72 | /*----- Magic numbers -----------------------------------------------------*/ |
| 73 | |
| 74 | #define PROBES 8192 |
| 75 | #define EXHAUST 4 |
| 76 | |
| 77 | /*----- Static variables --------------------------------------------------*/ |
| 78 | |
| 79 | static fibrand r; |
| 80 | |
| 81 | /*----- Main code ---------------------------------------------------------*/ |
| 82 | |
| 83 | typedef struct { |
| 84 | sym_base b; |
| 85 | unsigned n; |
| 86 | } diff; |
| 87 | |
| 88 | static void probe(uint24 *delta) |
| 89 | { |
| 90 | unsigned i, j; |
| 91 | unsigned max = 0; |
| 92 | uint24 mout[4]; |
| 93 | sym_table t; |
| 94 | |
| 95 | sym_create(&t); |
| 96 | |
| 97 | for (i = 0; i < PROBES; i++) { |
| 98 | uint24 x[4], y[4]; |
| 99 | uint24 xi[4], yi[4]; |
| 100 | uint24 dd[4]; |
| 101 | octet db[12]; |
| 102 | diff *p; |
| 103 | unsigned c; |
| 104 | |
| 105 | for (j = 0; j < 4; j++) { |
| 106 | x[j] = U24(fibrand_step(&r)); |
| 107 | y[j] = x[j] & delta[j]; |
| 108 | } |
| 109 | |
| 110 | matmul(xi, m, x, 4, 4, 1); |
| 111 | matmul(yi, m, y, 4, 4, 1); |
| 112 | |
| 113 | for (j = 0; j < 4; j++) |
| 114 | dd[j] = xi[j] ^ yi[j]; |
| 115 | |
| 116 | STORE24(db + 0, dd[0]); |
| 117 | STORE24(db + 3, dd[1]); |
| 118 | STORE24(db + 6, dd[2]); |
| 119 | STORE24(db + 9, dd[3]); |
| 120 | |
| 121 | p = sym_find(&t, (char *)db, 12, sizeof(*p), &c); |
| 122 | if (!c) |
| 123 | p->n = 1; |
| 124 | else |
| 125 | p->n++; |
| 126 | if (p->n > max) { |
| 127 | max = p->n; |
| 128 | for (j = 0; j < 4; j++) |
| 129 | mout[j] = dd[j]; |
| 130 | } |
| 131 | } |
| 132 | |
| 133 | sym_destroy(&t); |
| 134 | |
| 135 | if (max > 1) { |
| 136 | printf("%06x %06x %06x %06x -> %06x %06x %06x %06x: %u\n", |
| 137 | delta[0], delta[1], delta[2], delta[3], |
| 138 | mout[0], mout[1], mout[2], mout[3], max); |
| 139 | } |
| 140 | } |
| 141 | |
| 142 | static void rdiff(uint24 *delta, unsigned i, unsigned n) |
| 143 | { |
| 144 | if (!n) { |
| 145 | probe(delta); |
| 146 | return; |
| 147 | } |
| 148 | for (; i < 96; i++) { |
| 149 | uint24 *dd = delta + i / 24; |
| 150 | uint24 m = 1 << (i % 24); |
| 151 | *dd ^= m; |
| 152 | rdiff(delta, i + 1, n - 1); |
| 153 | *dd ^= m; |
| 154 | } |
| 155 | } |
| 156 | |
| 157 | static void bitdiffs(unsigned n) |
| 158 | { |
| 159 | uint24 delta[4] = { 0 }; |
| 160 | rdiff(delta, 0, n); |
| 161 | probe(delta); |
| 162 | } |
| 163 | |
| 164 | int main(void) |
| 165 | { |
| 166 | unsigned i, j; |
| 167 | uint24 delta[4]; |
| 168 | |
| 169 | fibrand_lcseed(&r, 0); |
| 170 | |
| 171 | for (i = 1; i <= EXHAUST; i++) |
| 172 | bitdiffs(i); |
| 173 | |
| 174 | printf("*** ok, trying random probing\n"); |
| 175 | |
| 176 | for (;;) { |
| 177 | for (j = 0; j < 4; j++) |
| 178 | delta[j] = U24(fibrand_step(&r)); |
| 179 | probe(delta); |
| 180 | } |
| 181 | |
| 182 | return (0); |
| 183 | } |
| 184 | |
| 185 | /*----- That's all, folks -------------------------------------------------*/ |