1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
|
package org.spongycastle.math.ec.test;
import java.math.BigInteger;
import java.security.SecureRandom;
import junit.framework.TestCase;
import org.spongycastle.asn1.x9.ECNamedCurveTable;
import org.spongycastle.asn1.x9.X9ECParameters;
import org.spongycastle.math.ec.ECCurve;
import org.spongycastle.math.ec.ECPoint;
/**
* Compares the performance of the the window NAF point multiplication against
* conventional point multiplication.
*/
public class ECPointPerformanceTest extends TestCase
{
public static final int PRE_ROUNDS = 10;
public static final int NUM_ROUNDS = 100;
private static String[] COORD_NAMES = new String[]{ "AFFINE", "HOMOGENEOUS", "JACOBIAN", "JACOBIAN-CHUDNOVSKY",
"JACOBIAN-MODIFIED", "LAMBDA-AFFINE", "LAMBDA-PROJECTIVE", "SKEWED" };
private void randMult(final String curveName) throws Exception
{
X9ECParameters spec = ECNamedCurveTable.getByName(curveName);
ECCurve C = spec.getCurve();
ECPoint G = (ECPoint) spec.getG();
BigInteger n = spec.getN();
SecureRandom random = SecureRandom.getInstance("SHA1PRNG", "SUN");
random.setSeed(System.currentTimeMillis());
System.out.println(curveName);
int[] coords = ECCurve.getAllCoordinateSystems();
for (int i = 0; i < coords.length; ++i)
{
int coord = coords[i];
if (C.supportsCoordinateSystem(coord))
{
ECCurve c = C;
ECPoint g = G;
if (c.getCoordinateSystem() != coord)
{
c = C.configure().setCoordinateSystem(coord).create();
g = c.importPoint(G);
}
double avgDuration = randMult(random, c, g, n);
String coordName = COORD_NAMES[coord];
StringBuffer sb = new StringBuffer();
sb.append(" ");
sb.append(coordName);
for (int j = coordName.length(); j < 30; ++j)
{
sb.append(' ');
}
sb.append(": ");
sb.append(avgDuration);
sb.append("ms");
System.out.println(sb.toString());
}
}
System.out.println();
}
private double randMult(SecureRandom random, ECCurve c, ECPoint g, BigInteger n) throws Exception
{
BigInteger[] ks = new BigInteger[16];
for (int i = 0; i < ks.length; ++i)
{
ks[i] = new BigInteger(n.bitLength() - 1, random);
}
int ki = 0;
ECPoint p = g;
for (int i = 1; i <= PRE_ROUNDS; i++)
{
BigInteger k = ks[ki];
p = g.multiply(k);
if (++ki == ks.length)
{
ki = 0;
g = p;
}
}
long startTime = System.currentTimeMillis();
for (int i = 1; i <= NUM_ROUNDS; i++)
{
BigInteger k = ks[ki];
p = g.multiply(k);
if (++ki == ks.length)
{
ki = 0;
g = p;
}
}
long endTime = System.currentTimeMillis();
return (double) (endTime - startTime) / NUM_ROUNDS;
}
public void testMultiply() throws Exception
{
// Enumeration e = SECNamedCurves.getNames();
// while (e.hasMoreElements())
// {
// String name = (String)e.nextElement();
// randMult(name);
// }
randMult("sect113r1");
randMult("sect113r2");
randMult("sect131r1");
randMult("sect131r2");
randMult("sect163k1");
randMult("sect163r1");
randMult("sect163r2");
randMult("sect193r1");
randMult("sect193r2");
randMult("sect233k1");
randMult("sect233r1");
randMult("sect239k1");
randMult("sect283k1");
randMult("sect283r1");
randMult("sect409k1");
randMult("sect409r1");
randMult("sect571k1");
randMult("sect571r1");
randMult("secp112r1");
randMult("secp112r2");
randMult("secp128r1");
randMult("secp128r2");
randMult("secp160k1");
randMult("secp160r1");
randMult("secp160r2");
randMult("secp192k1");
randMult("secp192r1");
randMult("secp224k1");
randMult("secp224r1");
randMult("secp256k1");
randMult("secp256r1");
randMult("secp384r1");
randMult("secp521r1");
randMult("brainpoolp160r1");
randMult("brainpoolp160t1");
randMult("brainpoolp192r1");
randMult("brainpoolp192t1");
randMult("brainpoolp224r1");
randMult("brainpoolp224t1");
randMult("brainpoolp256r1");
randMult("brainpoolp256t1");
randMult("brainpoolp320r1");
randMult("brainpoolp320t1");
randMult("brainpoolp384r1");
randMult("brainpoolp384t1");
randMult("brainpoolp512r1");
randMult("brainpoolp512t1");
}
// public static void main(String argv[]) throws Exception
// {
// ECMultiplyPerformanceTest test = new ECMultiplyPerformanceTest();
// test.testMultiply();
// }
}
|
