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
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
|
//
// MonoTests.Mono.Math.PrimeTestingTest.cs
//
// Authors:
// Ben Maurer
//
// Copyright (c) 2003 Ben Maurer. All rights reserved
//
using System;
using Mono.Math;
using Mono.Math.Prime;
using NUnit.Framework;
namespace MonoTests.Mono.Math {
public abstract class PrimeTesting_Base : BigIntegerTestSet {
BigInteger P1, P2, P3;
public PrimeTesting_Base ()
{
P1 = new BigInteger (p1);
P2 = new BigInteger (p2);
P3 = new BigInteger (p3);
}
public abstract uint[] p1 {
get;
}
public abstract uint[] p2 {
get;
}
public abstract uint[] p3 {
get;
}
[Test]
public void p1prime ()
{
ExpectPrime (P1);
}
[Test]
public void p2prime ()
{
ExpectPrime (P2);
}
[Test]
public void p3prime ()
{
ExpectPrime (P3);
}
[Test]
public void p1p2composite ()
{
ExpectComposite (P1 * P2);
}
[Test]
public void p1p3composite ()
{
ExpectComposite (P1 * P3);
}
[Test]
public void p2p3composite ()
{
ExpectComposite (P2 * P3);
}
[Test]
public void p1p2p3composite ()
{
ExpectComposite (P1 * P2 * P3);
}
private void ExpectComposite (BigInteger bi)
{
Assertion.AssertEquals (false, bi.IsProbablePrime ());
}
private void ExpectPrime (BigInteger bi)
{
Assertion.AssertEquals (true, bi.IsProbablePrime ());
}
}
public class PrimeTesting_Rand1024 : PrimeTesting_Base {
public override uint[] p1 {
get {
return new uint[] {
0x48595126, 0xd1e0c772, 0x87f352a7, 0xeb3c496c, 0xce17d7ff, 0xce260883,
0x4892835e, 0x4457170e, 0xb90a0893, 0x2a1bfd80, 0x56665a9c, 0x36b06f35,
0x61988d45, 0xa04e18c2, 0xa2308414, 0xa0be5e2c, 0x423fad73, 0x7117b883,
0x3977c11c, 0xf34c2c20, 0x045713c9, 0x0c82ea36, 0x3811b550, 0x7b03aafb,
0xbc31f3c4, 0x8667b5a5, 0x3a5697f7, 0x064169e8, 0xd70dbae4, 0x9bb2a4f8,
0xba6a1c1c, 0x7c6db863
};
}
}
public override uint[] p2 {
get {
return new uint[] {
0x884462b0, 0x8295cefd, 0x444cbcb7, 0xd3916039, 0x45b1e26d, 0x02b3d8d5,
0x3547b6ee, 0x0791ef10, 0x6da42d3e, 0xee537c9f, 0x339ee744, 0x97d328c7,
0xebc9055a, 0xf3e1835c, 0xd9cff3db, 0xfe5f33d8, 0x45234644, 0x4af5031b,
0x27f41403, 0x1d9d751b, 0xb711ddc7, 0xb331784f, 0x992b4148, 0x50a8ac7d,
0x5c3f1fbb, 0x209d76e3, 0xfbd05088, 0xacf87776, 0xad214d60, 0x1f2ab42d,
0xe9bc81fc, 0xe997d55b
};
}
}
public override uint[] p3 {
get {
return new uint[] {
0xf732ee, 0x019ec52e, 0xfc360881, 0x4fd07211, 0x77d44ed0, 0xc27a4b3d,
0xde2a9500, 0x2d4a2a70, 0x834e5d32, 0x715f5884, 0xc5922ca1, 0x94d48b60,
0xb0262fce, 0x72040eb9, 0x5a4fd41c, 0x4e095cba, 0x3a840a36, 0x0175b3b4,
0x64363623, 0xc03bd892, 0x39231a04, 0x521eee6c, 0x560e7c10, 0xa8476256,
0xeefc3f37, 0xadd4c5ee, 0xf8407afc, 0x30e9c52c, 0x026849d3, 0x040533df,
0xc286e00b, 0x9c377705
};
}
}
}
public class PrimeTesting_Rand512 : PrimeTesting_Base {
public override uint[] p1 {
get {
return new uint[] {
0x99d95780, 0xd02a33bb, 0x980c079b, 0xbc43c3c2, 0xca501ce0, 0x3fc4bd85,
0x51035dcc, 0x11dd4c8e, 0x59696b91, 0xcdc7cbc0, 0x29e5c884, 0xae628e88,
0x908855b7, 0xab6218f3, 0x6abd6fb5, 0x3ca12af7
};
}
}
public override uint[] p2 {
get {
return new uint[] {
0xc77a6a36, 0xfe547705, 0x98a57094, 0xc0dd1e8b, 0x78b62bc9, 0x19aea0da,
0xb91b141b, 0xe4d34402, 0xdd16b9c6, 0x0ec73ea4, 0x8ad59ae5, 0x0d4b0f09,
0x1fd1858d, 0xaac2891c, 0xbd56c29f, 0xb398ffa5
};
}
}
public override uint[] p3 {
get {
return new uint[] {
0xb98e9b3a, 0x197d7671, 0x104d6b15, 0xe8c76058, 0xed9fcb77, 0x65c38af7,
0xdd660b8e, 0x412c5bbb, 0x80b5f777, 0x70c1a458, 0xc9ad52ae, 0x489bae51,
0x795f99a7, 0x2f2cb4ae, 0xc902c3ad, 0x9d96456f
};
}
}
}
public class PrimeTesting_Rand128 : PrimeTesting_Base {
public override uint[] p1 {
get {
return new uint[] {
0x28480536, 0xeaf326bc, 0x2957b03b, 0xa1549e59
};
}
}
public override uint[] p2 {
get {
return new uint[] {
0xd9ce28be, 0x6a279407, 0x8da0afbc, 0xa57eb9b3
};
}
}
public override uint[] p3 {
get {
return new uint[] {
0x1d777a45, 0x957a0fad, 0x25d049a7, 0x4f73383b
};
}
}
}
// Adapted from http://lists.ximian.com/archives/public/mono-devel-list/2003-November/003026.html
// Note: these primes are taken from RFC 2412 [http://www.faqs.org/rfcs/rfc2412.html]
[TestFixture]
public class Rfc2412WellTestedPrimes : Assertion {
// E.1. Well-Known Group 1: A 768 bit prime
[Test]
public void Prime768 ()
{
string prime = "1552518092300708935130918131258481755631334049434514313202351194902966239949102107258669453876591642442910007680288864229150803718918046342632727613031282983744380820890196288509170691316593175367469551763119843371637221007210577919";
BigInteger bi = BigInteger.Parse (prime);
Assert ("isProbablePrime-768", bi.IsProbablePrime ());
AssertEquals ("ToString()", prime, bi.ToString ());
}
// E.2. Well-Known Group 2: A 1024 bit prime
[Test]
public void Prime1024 ()
{
string prime = "179769313486231590770839156793787453197860296048756011706444423684197180216158519368947833795864925541502180565485980503646440548199239100050792877003355816639229553136239076508735759914822574862575007425302077447712589550957937778424442426617334727629299387668709205606050270810842907692932019128194467627007";
BigInteger bi = BigInteger.Parse (prime);
Assert ("isProbablePrime-1024", bi.IsProbablePrime ());
AssertEquals ("ToString()", prime, bi.ToString ());
}
// Note: E.3 and E.4 are for Elliptic Curve Groups
// E.5. Well-Known Group 5: A 1536 bit prime
[Test]
public void Prime1536 ()
{
string prime = "2410312426921032588552076022197566074856950548502459942654116941958108831682612228890093858261341614673227141477904012196503648957050582631942730706805009223062734745341073406696246014589361659774041027169249453200378729434170325843778659198143763193776859869524088940195577346119843545301547043747207749969763750084308926339295559968882457872412993810129130294592999947926365264059284647209730384947211681434464714438488520940127459844288859336526896320919633919";
BigInteger bi = BigInteger.Parse (prime);
Assert ("isProbablePrime-1536", bi.IsProbablePrime ());
AssertEquals ("ToString()", prime, bi.ToString ());
}
}
}
|
