tstRTBigNum.cpp@ 53401

Last change on this file since 53401 was 52335, checked in by vboxsync, 10 years ago
RTBigNum: Added shift APIs, implemented a faster division algorithm, optimized multiplication on x86 & amd64.
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File size: 83.0 KB

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1	/* $Id: tstRTBigNum.cpp 52335 2014-08-11 12:30:20Z vboxsync $ */
2	/** @file
3	* IPRT - Testcase for the RTBigNum* functions.
4	*/
5
6	/*
7	* Copyright (C) 2006-2014 Oracle Corporation
8	*
9	* This file is part of VirtualBox Open Source Edition (OSE), as
10	* available from http://www.virtualbox.org. This file is free software;
11	* you can redistribute it and/or modify it under the terms of the GNU
12	* General Public License (GPL) as published by the Free Software
13	* Foundation, in version 2 as it comes in the "COPYING" file of the
14	* VirtualBox OSE distribution. VirtualBox OSE is distributed in the
15	* hope that it will be useful, but WITHOUT ANY WARRANTY of any kind.
16	*
17	* The contents of this file may alternatively be used under the terms
18	* of the Common Development and Distribution License Version 1.0
19	* (CDDL) only, as it comes in the "COPYING.CDDL" file of the
20	* VirtualBox OSE distribution, in which case the provisions of the
21	* CDDL are applicable instead of those of the GPL.
22	*
23	* You may elect to license modified versions of this file under the
24	* terms and conditions of either the GPL or the CDDL or both.
25	*/
26
27	/*******************************************************************************
28	* Header Files *
29	*******************************************************************************/
30	#include <iprt/bignum.h>
31	#include <iprt/uint128.h>
32
33	#include <iprt/test.h>
34	#include <iprt/thread.h>
35	#include <iprt/time.h>
36	#include <iprt/string.h>
37
38	#if 1
39	# include <openssl/bn.h>
40	#endif
41
42
43	/*******************************************************************************
44	* Global Variables *
45	*******************************************************************************/
46	static RTTEST g_hTest;
47
48
49	static uint8_t const g_abLargePositive[] =
50	{
51	0x67,0xcd,0xd6,0x60,0x4e,0xaa,0xe9,0x8e,0x06,0x99,0xde,0xb2,0xf5,0x1c,0xc3,0xfc,
52	0xf5,0x17,0x41,0xec,0x42,0x68,0xf0,0xab,0x0e,0xe6,0x79,0xa8,0x32,0x97,0x55,0x00,
53	0x49,0x21,0x2b,0x72,0x4b,0x34,0x33,0xe1,0xe2,0xfe,0xa2,0xb8,0x39,0x7a,0x2f,0x17,
54	0xae,0x1f,0xbb,0xdb,0x46,0xbc,0x59,0x8b,0x13,0x05,0x28,0x96,0xf6,0xfd,0xc1,0xa4
55	};
56	static RTBIGNUM g_LargePositive;
57	static RTBIGNUM g_LargePositive2; /*< Smaller than g_LargePositive. /
58
59	static uint8_t const g_abLargePositiveMinus1[] =
60	{
61	0x67,0xcd,0xd6,0x60,0x4e,0xaa,0xe9,0x8e,0x06,0x99,0xde,0xb2,0xf5,0x1c,0xc3,0xfc,
62	0xf5,0x17,0x41,0xec,0x42,0x68,0xf0,0xab,0x0e,0xe6,0x79,0xa8,0x32,0x97,0x55,0x00,
63	0x49,0x21,0x2b,0x72,0x4b,0x34,0x33,0xe1,0xe2,0xfe,0xa2,0xb8,0x39,0x7a,0x2f,0x17,
64	0xae,0x1f,0xbb,0xdb,0x46,0xbc,0x59,0x8b,0x13,0x05,0x28,0x96,0xf6,0xfd,0xc1,0xa3
65	};
66	static RTBIGNUM g_LargePositiveMinus1; /*< g_LargePositive - 1 /
67
68
69	static uint8_t const g_abLargeNegative[] =
70	{
71	0xf2,0xde,0xbd,0xaf,0x43,0x9e,0x1e,0x88,0xdc,0x64,0x37,0xa9,0xdb,0xb7,0x26,0x31,
72	0x92,0x1d,0xf5,0x43,0x4c,0xb0,0x21,0x2b,0x07,0x4e,0xf5,0x94,0x9e,0xce,0x15,0x79,
73	0x13,0x0c,0x70,0x68,0x49,0x46,0xcf,0x72,0x2b,0xc5,0x8f,0xab,0x7c,0x88,0x2d,0x1e,
74	0x3b,0x43,0x5b,0xdb,0x47,0x45,0x7a,0x25,0x74,0x46,0x1d,0x87,0x24,0xaa,0xab,0x0d,
75	0x3e,0xdf,0xd1,0xd8,0x44,0x6f,0x01,0x84,0x01,0x36,0xe0,0x84,0x6e,0x6f,0x41,0xbb,
76	0xae,0x1a,0x31,0xef,0x42,0x23,0xfd,0xda,0xda,0x0f,0x7d,0x88,0x8f,0xf5,0x63,0x72,
77	0x36,0x9f,0xa9,0xa4,0x4f,0xa0,0xa6,0xb1,0x3b,0xbe,0x0d,0x9d,0x62,0x88,0x98,0x8b
78	};
79	static RTBIGNUM g_LargeNegative;
80	static RTBIGNUM g_LargeNegative2; /*< A few digits less than g_LargeNegative, i.e. larger value. /
81
82	static uint8_t const g_abLargeNegativePluss1[] =
83	{
84	0xf2,0xde,0xbd,0xaf,0x43,0x9e,0x1e,0x88,0xdc,0x64,0x37,0xa9,0xdb,0xb7,0x26,0x31,
85	0x92,0x1d,0xf5,0x43,0x4c,0xb0,0x21,0x2b,0x07,0x4e,0xf5,0x94,0x9e,0xce,0x15,0x79,
86	0x13,0x0c,0x70,0x68,0x49,0x46,0xcf,0x72,0x2b,0xc5,0x8f,0xab,0x7c,0x88,0x2d,0x1e,
87	0x3b,0x43,0x5b,0xdb,0x47,0x45,0x7a,0x25,0x74,0x46,0x1d,0x87,0x24,0xaa,0xab,0x0d,
88	0x3e,0xdf,0xd1,0xd8,0x44,0x6f,0x01,0x84,0x01,0x36,0xe0,0x84,0x6e,0x6f,0x41,0xbb,
89	0xae,0x1a,0x31,0xef,0x42,0x23,0xfd,0xda,0xda,0x0f,0x7d,0x88,0x8f,0xf5,0x63,0x72,
90	0x36,0x9f,0xa9,0xa4,0x4f,0xa0,0xa6,0xb1,0x3b,0xbe,0x0d,0x9d,0x62,0x88,0x98,0x8c
91	};
92	static RTBIGNUM g_LargeNegativePluss1; /*< g_LargeNegative + 1 /
93
94
95	static uint8_t const g_ab64BitPositive1[] = { 0x53, 0xe0, 0xdf, 0x11, 0x85, 0x93, 0x06, 0x21 };
96	static uint64_t g_u64BitPositive1 = UINT64_C(0x53e0df1185930621);
97	static RTBIGNUM g_64BitPositive1;
98
99
100	static RTBIGNUM g_Zero;
101	static RTBIGNUM g_One;
102	static RTBIGNUM g_Two;
103	static RTBIGNUM g_Three;
104	static RTBIGNUM g_Four;
105	static RTBIGNUM g_Five;
106	static RTBIGNUM g_Ten;
107	static RTBIGNUM g_FourtyTwo;
108
109	static uint8_t const g_abMinus1[] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
110	static int64_t g_iBitMinus1 = -1;
111	static RTBIGNUM g_Minus1;
112
113
114	/** @name The components of a real PKCS #7 signature (extracted from a build of
115	* this testcase).
116	* @{ */
117	static uint8_t const g_abPubKeyExp[] = { 0x01, 0x00, 0x01 };
118	static RTBIGNUM g_PubKeyExp;
119	static uint8_t const g_abPubKeyMod[] =
120	{
121	0x00, 0xea, 0x61, 0x4e, 0xa0, 0xb2, 0xae, 0x38, 0xbc, 0x43, 0x24, 0x5a, 0x28, 0xc7, 0xa0, 0x69,
122	0x82, 0x11, 0xd5, 0x78, 0xe8, 0x6b, 0x41, 0x54, 0x7b, 0x6c, 0x69, 0x13, 0xc8, 0x68, 0x75, 0x0f,
123	0xe4, 0x66, 0x54, 0xcd, 0xe3, 0x55, 0x33, 0x3b, 0x7f, 0x9f, 0x55, 0x75, 0x80, 0x6e, 0xd0, 0x8a,
124	0xff, 0xc1, 0xf4, 0xbf, 0xfd, 0x70, 0x9b, 0x73, 0x7e, 0xee, 0xf1, 0x80, 0x23, 0xd4, 0xbd, 0xba,
125	0xdc, 0xce, 0x09, 0x4a, 0xeb, 0xb0, 0xdd, 0x86, 0x4a, 0x0b, 0x8e, 0x3e, 0x9a, 0x8a, 0x58, 0xed,
126	0x98, 0x4f, 0x25, 0xe5, 0x0c, 0x18, 0xd8, 0x10, 0x95, 0xce, 0xe4, 0x19, 0x82, 0x38, 0xcd, 0x76,
127	0x6a, 0x38, 0xe5, 0x14, 0xe6, 0x95, 0x0d, 0x80, 0xc5, 0x09, 0x5e, 0x93, 0xf4, 0x6f, 0x82, 0x8e,
128	0x9c, 0x81, 0x09, 0xd6, 0xd4, 0xee, 0xd5, 0x1f, 0x94, 0x2d, 0x13, 0x18, 0x9a, 0xbc, 0x88, 0x5d,
129	0x9a, 0xe5, 0x66, 0x08, 0x99, 0x93, 0x1b, 0x8a, 0x69, 0x3f, 0x68, 0xb2, 0x97, 0x2a, 0x24, 0xf6,
130	0x65, 0x2a, 0x94, 0x33, 0x94, 0x14, 0x5c, 0x6f, 0xff, 0x95, 0xd0, 0x2b, 0xf0, 0x2b, 0xcb, 0x49,
131	0xcd, 0x03, 0x3a, 0x45, 0xd5, 0x22, 0x1c, 0xb3, 0xee, 0xd5, 0xaf, 0xb3, 0x5b, 0xcb, 0x1b, 0x35,
132	0x4e, 0xff, 0x21, 0x0a, 0x55, 0x1f, 0xa0, 0xf9, 0xdc, 0xad, 0x7a, 0x89, 0x0b, 0x6e, 0x3f, 0x75,
133	0xc0, 0x6c, 0x44, 0xff, 0x90, 0x63, 0x79, 0xcf, 0x70, 0x20, 0x60, 0x33, 0x3c, 0xb1, 0xfa, 0x6b,
134	0x6c, 0x55, 0x3c, 0xeb, 0x8d, 0x18, 0xe9, 0x0a, 0x81, 0xd5, 0x24, 0xc1, 0x88, 0x7c, 0xa6, 0x8e,
135	0xd3, 0x2c, 0x51, 0x1d, 0x6d, 0xdf, 0x51, 0xd5, 0x72, 0x54, 0x7a, 0x98, 0xc0, 0x36, 0x35, 0x21,
136	0x66, 0x3c, 0x2f, 0x01, 0xc0, 0x8e, 0xb0, 0x56, 0x60, 0x6e, 0x67, 0x4f, 0x5f, 0xac, 0x05, 0x60,
137	0x9b
138	};
139	static RTBIGNUM g_PubKeyMod;
140	static uint8_t const g_abSignature[] =
141	{
142	0x00, 0xae, 0xca, 0x93, 0x47, 0x0b, 0xfa, 0xd8, 0xb9, 0xbb, 0x5a, 0x5e, 0xf6, 0x75, 0x90, 0xed,
143	0x80, 0x37, 0x03, 0x6d, 0x23, 0x91, 0x30, 0x0c, 0x9d, 0xbf, 0x34, 0xc1, 0xf9, 0x43, 0xa7, 0xec,
144	0xc0, 0x83, 0xc0, 0x98, 0x3f, 0x8a, 0x65, 0x48, 0x7c, 0xa4, 0x9f, 0x14, 0x4d, 0x52, 0x90, 0x2d,
145	0x17, 0xd1, 0x3e, 0x05, 0xd6, 0x35, 0x1b, 0xdb, 0xe5, 0x1a, 0xa2, 0x54, 0x8c, 0x30, 0x6f, 0xfe,
146	0xa1, 0xd9, 0x98, 0x3f, 0xb5, 0x65, 0x14, 0x9c, 0x50, 0x55, 0xa1, 0xbf, 0xb5, 0x12, 0xc4, 0xf2,
147	0x72, 0x27, 0x14, 0x59, 0xb5, 0x23, 0x67, 0x11, 0x2a, 0xd8, 0xa8, 0x85, 0x4b, 0xc5, 0xb0, 0x2f,
148	0x73, 0x54, 0xcf, 0x33, 0xa0, 0x06, 0xf2, 0x8e, 0x4f, 0x4b, 0x18, 0x97, 0x08, 0x47, 0xce, 0x0c,
149	0x47, 0x97, 0x0d, 0xbd, 0x8b, 0xce, 0x61, 0x31, 0x21, 0x7e, 0xc4, 0x1d, 0x03, 0xf8, 0x06, 0xca,
150	0x9f, 0xd3, 0x5e, 0x4b, 0xfc, 0xf1, 0x99, 0x34, 0x78, 0x83, 0xfa, 0xab, 0x9c, 0x7c, 0x6b, 0x5c,
151	0x3d, 0x45, 0x39, 0x6d, 0x6a, 0x6c, 0xd5, 0x63, 0x3e, 0xbe, 0x09, 0x62, 0x64, 0x5f, 0x83, 0x3b,
152	0xb6, 0x5c, 0x7e, 0x8e, 0xeb, 0x1e, 0x6a, 0x34, 0xb9, 0xc7, 0x92, 0x92, 0x58, 0x64, 0x48, 0xfe,
153	0xf8, 0x35, 0x53, 0x07, 0x89, 0xb4, 0x29, 0x4d, 0x3d, 0x79, 0x43, 0x73, 0x0f, 0x16, 0x21, 0xab,
154	0xb7, 0x07, 0x2b, 0x5a, 0x8a, 0x0f, 0xd7, 0x2e, 0x95, 0xb4, 0x26, 0x66, 0x65, 0x72, 0xac, 0x7e,
155	0x46, 0x70, 0xe6, 0xad, 0x43, 0xa2, 0x73, 0x54, 0x6a, 0x41, 0xc8, 0x9c, 0x1e, 0x65, 0xed, 0x06,
156	0xd1, 0xc7, 0x99, 0x3e, 0x5f, 0x5a, 0xd3, 0xd0, 0x1a, 0x9b, 0x0e, 0x3e, 0x04, 0x66, 0xb6, 0xaa,
157	0xa6, 0x51, 0xb8, 0xc0, 0x13, 0x19, 0x34, 0x0e, 0x86, 0x02, 0xd5, 0xc8, 0x10, 0xaa, 0x1f, 0x97,
158	0x95
159	};
160	static RTBIGNUM g_Signature;
161	static uint8_t const g_abSignatureDecrypted[] =
162	{
163	0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
164	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
165	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
166	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
167	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
168	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
169	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
170	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
171	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
172	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
173	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
174	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
175	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
176	0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x21, 0x30,
177	0x09, 0x06, 0x05, 0x2b, 0x0e, 0x03, 0x02, 0x1a, 0x05, 0x00, 0x04, 0x14, 0x54, 0x60, 0xb0, 0x65,
178	0xf1, 0xbc, 0x40, 0x77, 0xfc, 0x9e, 0xfc, 0x2f, 0x94, 0x62, 0x62, 0x61, 0x43, 0xb9, 0x01, 0xb9
179	};
180	static RTBIGNUM g_SignatureDecrypted;
181	/** @} */
182
183
184	static void testInitOneLittleEndian(uint8_t const *pb, size_t cb, PRTBIGNUM pBigNum)
185	{
186	uint8_t abLittleEndian[sizeof(g_abLargePositive) + sizeof(g_abLargeNegative)];
187	RTTESTI_CHECK_RETV(cb <= sizeof(abLittleEndian));
188
189	size_t cbLeft = cb;
190	uint8_t *pbDst = abLittleEndian + cb - 1;
191	uint8_t const *pbSrc = pb;
192	while (cbLeft-- > 0)
193	pbDst-- = pbSrc++;
194
195	RTBIGNUM Num;
196	RTTESTI_CHECK_RC_RETV(RTBigNumInit(&Num, RTBIGNUMINIT_F_ENDIAN_LITTLE \| RTBIGNUMINIT_F_SIGNED,
197	abLittleEndian, cb), VINF_SUCCESS);
198	RTTESTI_CHECK(Num.fNegative == pBigNum->fNegative);
199	RTTESTI_CHECK(Num.cUsed == pBigNum->cUsed);
200	RTTESTI_CHECK(RTBigNumCompare(&Num, pBigNum) == 0);
201	RTTESTI_CHECK_RC(RTBigNumDestroy(&Num), VINF_SUCCESS);
202
203	RTTESTI_CHECK_RC_RETV(RTBigNumInit(&Num, RTBIGNUMINIT_F_ENDIAN_LITTLE \| RTBIGNUMINIT_F_SIGNED \| RTBIGNUMINIT_F_SENSITIVE,
204	abLittleEndian, cb), VINF_SUCCESS);
205	RTTESTI_CHECK(Num.fNegative == pBigNum->fNegative);
206	RTTESTI_CHECK(Num.cUsed == pBigNum->cUsed);
207	RTTESTI_CHECK(RTBigNumCompare(&Num, pBigNum) == 0);
208	RTTESTI_CHECK_RC(RTBigNumDestroy(&Num), VINF_SUCCESS);
209	}
210
211	static void testMoreInit(void)
212	{
213	RTTESTI_CHECK(!g_LargePositive.fNegative);
214	RTTESTI_CHECK(!g_LargePositive.fSensitive);
215	RTTESTI_CHECK(!g_LargePositive2.fNegative);
216	RTTESTI_CHECK(!g_LargePositive2.fSensitive);
217	RTTESTI_CHECK(g_LargeNegative.fNegative);
218	RTTESTI_CHECK(!g_LargeNegative.fSensitive);
219	RTTESTI_CHECK(g_LargeNegative2.fNegative);
220	RTTESTI_CHECK(!g_LargeNegative2.fSensitive);
221
222	RTTESTI_CHECK(!g_Zero.fNegative);
223	RTTESTI_CHECK(!g_Zero.fSensitive);
224	RTTESTI_CHECK(g_Zero.cUsed == 0);
225
226	RTTESTI_CHECK(g_Minus1.fNegative);
227	RTTESTI_CHECK(!g_Minus1.fSensitive);
228	RTTESTI_CHECK(g_Minus1.cUsed == 1);
229	RTTESTI_CHECK(g_Minus1.pauElements[0] == 1);
230
231	RTTESTI_CHECK(g_One.cUsed == 1 && g_One.pauElements[0] == 1);
232	RTTESTI_CHECK(g_Two.cUsed == 1 && g_Two.pauElements[0] == 2);
233	RTTESTI_CHECK(g_Three.cUsed == 1 && g_Three.pauElements[0] == 3);
234	RTTESTI_CHECK(g_Four.cUsed == 1 && g_Four.pauElements[0] == 4);
235	RTTESTI_CHECK(g_Ten.cUsed == 1 && g_Ten.pauElements[0] == 10);
236	RTTESTI_CHECK(g_FourtyTwo.cUsed == 1 && g_FourtyTwo.pauElements[0] == 42);
237
238	/* Test big endian initialization w/ sensitive variation. */
239	testInitOneLittleEndian(g_abLargePositive, sizeof(g_abLargePositive), &g_LargePositive);
240	testInitOneLittleEndian(g_abLargePositive, sizeof(g_abLargePositive) - 11, &g_LargePositive2);
241
242	testInitOneLittleEndian(g_abLargeNegative, sizeof(g_abLargeNegative), &g_LargeNegative);
243	testInitOneLittleEndian(g_abLargeNegative, sizeof(g_abLargeNegative) - 9, &g_LargeNegative2);
244
245	RTTESTI_CHECK(g_Minus1.cUsed == 1);
246	testInitOneLittleEndian(g_abMinus1, sizeof(g_abMinus1), &g_Minus1);
247	testInitOneLittleEndian(g_abMinus1, 1, &g_Minus1);
248	testInitOneLittleEndian(g_abMinus1, 4, &g_Minus1);
249
250	}
251
252
253	static void testCompare(void)
254	{
255	RTTestSub(g_hTest, "RTBigNumCompare*");
256	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_LargePositive) == 0);
257	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive2, &g_LargePositive) == -1);
258	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_LargePositive2) == 1);
259	RTTESTI_CHECK(RTBigNumCompare(&g_Zero, &g_LargePositive) == -1);
260	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_Zero) == 1);
261	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive2, &g_Zero) == 1);
262	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_LargePositiveMinus1) == 1);
263	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositiveMinus1, &g_LargePositive) == -1);
264
265	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_LargeNegative) == 0);
266	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_LargeNegative2) == -1);
267	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative2, &g_LargeNegative) == 1);
268	RTTESTI_CHECK(RTBigNumCompare(&g_Zero, &g_LargeNegative) == 1);
269	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_Zero) == -1);
270	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative2, &g_Zero) == -1);
271	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_LargeNegativePluss1) == -1);
272	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegativePluss1, &g_LargeNegative) == 1);
273
274	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_LargePositive) == -1);
275	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_LargeNegative) == 1);
276	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative2, &g_LargePositive) == -1);
277	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive, &g_LargeNegative2) == 1);
278	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative2, &g_LargePositive2) == -1);
279	RTTESTI_CHECK(RTBigNumCompare(&g_LargePositive2, &g_LargeNegative2) == 1);
280
281	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_Zero, 0) == 0);
282	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_Zero, 1) == -1);
283	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_Zero, UINT32_MAX) == -1);
284	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_Zero, UINT64_MAX) == -1);
285	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargePositive, UINT64_MAX) == 1);
286	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargePositive2, 0x7213593) == 1);
287	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargeNegative, 0) == -1);
288	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargeNegative, 1) == -1);
289	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargeNegative, UINT64_MAX) == -1);
290	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_LargeNegative, 0x80034053) == -1);
291	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_64BitPositive1, g_u64BitPositive1) == 0);
292	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_64BitPositive1, g_u64BitPositive1 - 1) == 1);
293	RTTESTI_CHECK(RTBigNumCompareWithU64(&g_64BitPositive1, g_u64BitPositive1 + 1) == -1);
294
295	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Zero, 0) == 0);
296	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Zero, 1) == -1);
297	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Zero, -1) == 1);
298	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Zero, INT32_MAX) == -1);
299	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_LargeNegative, INT32_MIN) == -1);
300	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_LargeNegative, INT64_MIN) == -1);
301	RTTESTI_CHECK(g_u64BitPositive1 < (uint64_t)INT64_MAX);
302	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_64BitPositive1, g_u64BitPositive1) == 0);
303	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_64BitPositive1, g_u64BitPositive1 - 1) == 1);
304	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_64BitPositive1, g_u64BitPositive1 + 1) == -1);
305	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_64BitPositive1, INT64_MIN) == 1);
306	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_64BitPositive1, INT64_MAX) == -1);
307	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Minus1, -1) == 0);
308	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Minus1, -2) == 1);
309	RTTESTI_CHECK(RTBigNumCompareWithS64(&g_Minus1, 0) == -1);
310	}
311
312
313	static void testSubtraction(void)
314	{
315	RTTestSub(g_hTest, "RTBigNumSubtract");
316
317	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
318	{
319	RTBIGNUM Result;
320	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
321	RTBIGNUM Result2;
322	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result2, fFlags), VINF_SUCCESS);
323
324	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_Minus1, &g_Minus1), VINF_SUCCESS);
325	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
326
327	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_Zero, &g_Minus1), VINF_SUCCESS);
328	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
329
330	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_Minus1, &g_Zero), VINF_SUCCESS);
331	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
332
333	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_64BitPositive1, &g_Minus1), VINF_SUCCESS);
334	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, g_u64BitPositive1 + 1) == 0);
335
336	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_Minus1, &g_64BitPositive1), VINF_SUCCESS);
337	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, INT64_C(-1) - g_u64BitPositive1) == 0);
338
339	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_LargePositive, &g_LargePositiveMinus1), VINF_SUCCESS);
340	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
341	RTTESTI_CHECK(Result.cUsed == 1);
342
343	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_LargePositiveMinus1, &g_LargePositive), VINF_SUCCESS);
344	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
345	RTTESTI_CHECK(Result.cUsed == 1);
346
347	RTTESTI_CHECK(RTBigNumCompare(&g_LargeNegative, &g_LargeNegativePluss1) < 0);
348	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_LargeNegative, &g_LargeNegativePluss1), VINF_SUCCESS);
349	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
350	RTTESTI_CHECK(Result.cUsed == 1);
351
352	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_LargeNegativePluss1, &g_LargeNegative), VINF_SUCCESS);
353	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
354	RTTESTI_CHECK(Result.cUsed == 1);
355
356	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result, &g_LargeNegativePluss1, &g_LargeNegativePluss1), VINF_SUCCESS);
357	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
358	RTTESTI_CHECK(Result.cUsed == 0);
359
360	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
361	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result2), VINF_SUCCESS);
362	}
363	}
364
365
366	static void testAddition(void)
367	{
368	RTTestSub(g_hTest, "RTBigNumAdd");
369
370	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
371	{
372	RTBIGNUM Result;
373	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
374	RTBIGNUM Result2;
375	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result2, fFlags), VINF_SUCCESS);
376
377	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_Minus1, &g_Minus1), VINF_SUCCESS);
378	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -2) == 0);
379
380	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_Zero, &g_Minus1), VINF_SUCCESS);
381	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
382
383	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_Zero, &g_64BitPositive1), VINF_SUCCESS);
384	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, g_u64BitPositive1) == 0);
385
386	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_Minus1, &g_64BitPositive1), VINF_SUCCESS);
387	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, g_u64BitPositive1 - 1) == 0);
388
389	RTTESTI_CHECK(g_u64BitPositive1 * 2 > g_u64BitPositive1);
390	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_64BitPositive1, &g_64BitPositive1), VINF_SUCCESS);
391	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, g_u64BitPositive1 * 2) == 0);
392
393
394	RTTESTI_CHECK_RC(RTBigNumAssign(&Result2, &g_LargePositive), VINF_SUCCESS);
395	RTTESTI_CHECK_RC(RTBigNumNegateThis(&Result2), VINF_SUCCESS);
396
397	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargePositive, &Result2), VINF_SUCCESS);
398	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, 0) == 0);
399
400	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &Result2, &g_LargePositive), VINF_SUCCESS);
401	RTTESTI_CHECK(RTBigNumCompareWithU64(&Result, 0) == 0);
402
403	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargePositiveMinus1, &Result2), VINF_SUCCESS);
404	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
405
406	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &Result2, &g_LargePositiveMinus1), VINF_SUCCESS);
407	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
408
409
410	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargePositive, &g_LargePositiveMinus1), VINF_SUCCESS);
411	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargePositive) > 0);
412	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result2, &Result, &g_LargePositiveMinus1), VINF_SUCCESS);
413	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargePositive) == 0);
414	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result2, &Result, &g_LargePositive), VINF_SUCCESS);
415	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargePositiveMinus1) == 0);
416
417	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargePositive, &g_LargeNegative), VINF_SUCCESS);
418	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargeNegative) > 0);
419	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargePositive) < 0);
420	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result2, &Result, &g_LargePositive), VINF_SUCCESS);
421	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargeNegative) == 0);
422	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result2, &Result, &g_LargeNegative), VINF_SUCCESS);
423	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargePositive) == 0);
424
425	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargeNegativePluss1, &g_LargeNegative), VINF_SUCCESS);
426	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargeNegative) < 0);
427	RTTESTI_CHECK_RC(RTBigNumSubtract(&Result2, &Result, &g_LargeNegative), VINF_SUCCESS);
428	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargeNegativePluss1) == 0);
429
430	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
431	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result2), VINF_SUCCESS);
432	}
433	}
434
435	static void testShift(void)
436	{
437	RTTestSub(g_hTest, "RTBigNumShiftLeft, RTBigNumShiftRight");
438
439	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
440	{
441	RTBIGNUM Result;
442	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
443	RTBIGNUM Result2;
444	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result2, fFlags), VINF_SUCCESS);
445
446	/* basic left tests */
447	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Minus1, 1), VINF_SUCCESS);
448	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -2) == 0);
449
450	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Minus1, 0), VINF_SUCCESS);
451	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
452
453	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Minus1, 2), VINF_SUCCESS);
454	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -4) == 0);
455
456	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Minus1, 8), VINF_SUCCESS);
457	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -256) == 0);
458
459	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Zero, 511), VINF_SUCCESS);
460	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
461
462	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_FourtyTwo, 1), VINF_SUCCESS);
463	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 84) == 0);
464
465	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_FourtyTwo, 27+24), VINF_SUCCESS);
466	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, UINT64_C(0x150000000000000)) == 0);
467
468	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_FourtyTwo, 27), VINF_SUCCESS);
469	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result2, &Result, 24), VINF_SUCCESS);
470	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result2, UINT64_C(0x150000000000000)) == 0);
471
472	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_LargePositive, 2), VINF_SUCCESS);
473	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result2, &g_LargePositive, &g_Four), VINF_SUCCESS);
474	RTTESTI_CHECK(RTBigNumCompare(&Result2, &Result) == 0);
475
476	/* basic right tests. */
477	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_Minus1, 1), VINF_SUCCESS);
478	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
479
480	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_Minus1, 8), VINF_SUCCESS);
481	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
482
483	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_Zero, 511), VINF_SUCCESS);
484	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
485
486	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 0), VINF_SUCCESS);
487	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 42) == 0);
488
489	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 1), VINF_SUCCESS);
490	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 21) == 0);
491
492	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 2), VINF_SUCCESS);
493	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 10) == 0);
494
495	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 3), VINF_SUCCESS);
496	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 5) == 0);
497
498	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 4), VINF_SUCCESS);
499	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 2) == 0);
500
501	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 5), VINF_SUCCESS);
502	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
503
504	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 6), VINF_SUCCESS);
505	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
506
507	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_FourtyTwo, 549), VINF_SUCCESS);
508	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
509
510	RTTESTI_CHECK_RC(RTBigNumDivideLong(&Result2, &Result, &g_LargePositive, &g_Four), VINF_SUCCESS);
511	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &g_LargePositive, 2), VINF_SUCCESS);
512	RTTESTI_CHECK(RTBigNumCompare(&Result2, &Result) == 0);
513
514	/* Some simple back and forth. */
515	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_One, 2), VINF_SUCCESS);
516	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result2, &Result, 2), VINF_SUCCESS);
517	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_One) == 0);
518
519	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_Three, 63), VINF_SUCCESS);
520	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result2, &Result, 63), VINF_SUCCESS);
521	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_Three) == 0);
522
523	for (uint32_t i = 0; i < 1024; i++)
524	{
525	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_LargePositive, i), VINF_SUCCESS);
526	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result2, &Result, i), VINF_SUCCESS);
527	RTTESTI_CHECK(RTBigNumCompare(&Result2, &g_LargePositive) == 0);
528	}
529
530	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &g_LargePositive, 2), VINF_SUCCESS);
531	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result2, &Result, 250), VINF_SUCCESS);
532	RTTESTI_CHECK_RC(RTBigNumShiftLeft(&Result, &Result2, 999), VINF_SUCCESS);
533	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result2, &Result, 1), VINF_SUCCESS);
534	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &Result2, 250), VINF_SUCCESS);
535	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result2, &Result, 1), VINF_SUCCESS);
536	RTTESTI_CHECK_RC(RTBigNumShiftRight(&Result, &Result2, 999), VINF_SUCCESS);
537	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargePositive) == 0);
538
539
540	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
541	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result2), VINF_SUCCESS);
542	}
543	}
544
545	static bool testHexStringToNum(PRTBIGNUM pBigNum, const char *pszHex, uint32_t fFlags)
546	{
547	uint8_t abBuf[_4K];
548	size_t cbHex = strlen(pszHex);
549	RTTESTI_CHECK_RET(!(cbHex & 1), false);
550	cbHex /= 2;
551	RTTESTI_CHECK_RET(cbHex < sizeof(abBuf), false);
552	RTTESTI_CHECK_RC_RET(RTStrConvertHexBytes(pszHex, abBuf, cbHex, 0), VINF_SUCCESS, false);
553	RTTESTI_CHECK_RC_RET(RTBigNumInit(pBigNum, RTBIGNUMINIT_F_ENDIAN_BIG \| fFlags, abBuf, cbHex), VINF_SUCCESS, false);
554	return true;
555	}
556
557	static void testMultiplication(void)
558	{
559	RTTestSub(g_hTest, "RTBigNumMultiply");
560
561	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
562	{
563	RTBIGNUM Result;
564	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
565	RTBIGNUM Result2;
566	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result2, fFlags), VINF_SUCCESS);
567
568	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &g_Minus1, &g_Minus1), VINF_SUCCESS);
569	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
570
571	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &g_Zero, &g_Minus1), VINF_SUCCESS);
572	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
573	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &g_Minus1, &g_Zero), VINF_SUCCESS);
574	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
575
576	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &g_Minus1, &g_64BitPositive1), VINF_SUCCESS);
577	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -(int64_t)g_u64BitPositive1) == 0);
578	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &g_64BitPositive1, &g_Minus1), VINF_SUCCESS);
579	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -(int64_t)g_u64BitPositive1) == 0);
580
581
582	static struct
583	{
584	const char pszF1, pszF2, *pszResult;
585	} s_aTests[] =
586	{
587	{
588	"29865DBFA717181B9DD4B515BD072DE10A5A314385F6DED735AC553FCD307D30C499",
589	"4DD65692F7365B90C55F63988E5B6C448653E7DB9DD941507586BD8CF71398287C",
590	"0CA02E8FFDB0EEA37264338A4AAA91C8974E162DDFCBCF804B434A11955671B89B3645AAB75423D60CA3459B0B4F3F28978DA768779FB54CF362FD61924637582F221C"
591	},
592	{
593	"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
594	"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
595	"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE0000000000000000000000000000000000000001"
596	}
597	};
598	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
599	{
600	RTBIGNUM F1, F2, Expected;
601	if ( testHexStringToNum(&F1, s_aTests[i].pszF1, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
602	&& testHexStringToNum(&F2, s_aTests[i].pszF2, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
603	&& testHexStringToNum(&Expected, s_aTests[i].pszResult, RTBIGNUMINIT_F_UNSIGNED \| fFlags))
604	{
605	RTTESTI_CHECK_RC(RTBigNumMultiply(&Result, &F1, &F2), VINF_SUCCESS);
606	RTTESTI_CHECK(RTBigNumCompare(&Result, &Expected) == 0);
607	RTTESTI_CHECK_RC(RTBigNumDestroy(&F1), VINF_SUCCESS);
608	RTTESTI_CHECK_RC(RTBigNumDestroy(&F2), VINF_SUCCESS);
609	RTTESTI_CHECK_RC(RTBigNumDestroy(&Expected), VINF_SUCCESS);
610	}
611	}
612	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
613	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result2), VINF_SUCCESS);
614	}
615	}
616
617
618	#if 0 /* Java program for generating testDivision test data. */
619	import java.math.BigInteger;
620	import java.lang.System;
621	import java.lang.Integer;
622	import java.util.Random;
623	import java.security.SecureRandom;
624
625	class bigintdivtestgen
626	{
627
628	public static String format(BigInteger BigNum)
629	{
630	String str = BigNum.toString(16);
631	if ((str.length() & 1) != 0)
632	str = "0" + str;
633	return str;
634	}
635
636	public static void main(String args[])
637	{
638	Random Rnd = new SecureRandom();
639
640	/* Can't go to far here because before we reach 11K both windows compilers
641	will have reached some kind of section limit. Probably string pool related. */
642	int cDivisorLarger = 0;
643	for (int i = 0; i < 9216; i++)
644	{
645	int cDividendBits = Rnd.nextInt(4095) + 1;
646	int cDivisorBits = i < 9 ? cDividendBits : Rnd.nextInt(4095) + 1;
647	if (cDivisorBits > cDividendBits)
648	{
649	cDivisorLarger++;
650	if (cDivisorLarger > i / 4)
651	cDivisorBits = Rnd.nextInt(cDividendBits);
652	}
653
654	BigInteger Dividend = new BigInteger(cDividendBits, Rnd);
655	BigInteger Divisor = new BigInteger(cDivisorBits, Rnd);
656	while (Divisor.compareTo(BigInteger.ZERO) == 0) {
657	cDivisorBits++;
658	Divisor = new BigInteger(cDivisorBits, Rnd);
659	}
660
661	BigInteger[] Result = Dividend.divideAndRemainder(Divisor);
662
663	System.out.println(" { /* i=" + Integer.toString(i)
664	+ " cDividendBits=" + Integer.toString(cDividendBits)
665	+ " cDivisorBits=" + Integer.toString(cDivisorBits) + " */");
666
667	System.out.println(" \"" + format(Dividend) + "\",");
668	System.out.println(" \"" + format(Divisor) + "\",");
669	System.out.println(" \"" + format(Result[0]) + "\",");
670	System.out.println(" \"" + format(Result[1]) + "\"");
671	System.out.println(" },");
672	}
673	}
674	}
675	#endif
676
677	static void testDivision(void)
678	{
679	RTTestSub(g_hTest, "RTBigNumDivide");
680
681	//for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
682	uint32_t fFlags = 0;
683	{
684	RTBIGNUM Quotient;
685	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Quotient, fFlags), VINF_SUCCESS);
686	RTBIGNUM Remainder;
687	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Remainder, fFlags), VINF_SUCCESS);
688
689	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Minus1, &g_Minus1), VINF_SUCCESS);
690	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 1) == 0);
691	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 0) == 0);
692
693	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Zero, &g_Minus1), VINF_SUCCESS);
694	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 0) == 0);
695	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 0) == 0);
696
697	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Minus1, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
698	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_LargeNegative, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
699	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_LargePositive, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
700
701	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Four, &g_Two), VINF_SUCCESS);
702	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 2) == 0);
703	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 0) == 0);
704
705	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Three, &g_Two), VINF_SUCCESS);
706	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 1) == 0);
707	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 1) == 0);
708
709	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_Ten, &g_Two), VINF_SUCCESS);
710	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 5) == 0);
711	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 0) == 0);
712
713
714	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_LargePositive, &g_LargePositiveMinus1), VINF_SUCCESS);
715	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 1) == 0);
716	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, 1) == 0);
717
718	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &g_LargeNegative, &g_LargeNegativePluss1), VINF_SUCCESS);
719	RTTESTI_CHECK(RTBigNumCompareWithS64(&Quotient, 1) == 0);
720	RTTESTI_CHECK(RTBigNumCompareWithS64(&Remainder, -1) == 0);
721
722	static struct
723	{
724	const char pszDividend, pszDivisor, pszQuotient, pszRemainder;
725	} const s_aTests[] =
726	{
727	#if 1
728	#include "tstRTBigNum-div-test-data.h"
729	{ "ff", "10", /* = */ "0f", "0f" },
730	{ /* cDividendBits=323 cDivisorBits=195 */
731	"064530fd21b30e179b5bd5efd1f4a7e8df173c13965bd75e1502891303060b417e62711ceb17a73e56",
732	"0784fac4a7c6b5165a99dc3228b6484cba9c7dfadde85cdde3",
733	"d578cc87ed22ac3630a4d1e5fc590ae6",
734	"06acef436982f9c4fc9b0a44d3df1e72cad3ef0cb51ba20664"
735	},
736	{
737	"ffffffffffffffffffffffffffffffffffffffffffffffff",
738	"fffffffffffffffffffffffffffffffffffffffffffffffe",
739	"01",
740	"01"
741	},
742	{
743	"922222222222222222222222222222222222222222222222",
744	"811111111111111111111111111111111111111111111111",
745	"01",
746	"111111111111111111111111111111111111111111111111"
747	},
748	{
749	"955555555555555555555555555555555555555555555555",
750	"211111111111111111111111111111111111111111111111",
751	"04",
752	"111111111111111111111111111111111111111111111111"
753	},
754	#endif
755	/* This test triggers negative special cases in Knuth's division algorithm. */
756	{
757	"0137698320ec00bcaa13cd9c18df564bf6df45c5c4c73ad2012cb36cf897c5ff00db638256e19c9ba5a8fbe828ac6e8d470a5f3391d4350ca1390f79c4e4f944eb",
758	"67cdd6604eaae98e0699deb2f51cc3fcf51741ec4268f0ab0ee679a83297550049212b724b3433e1e2fea2b8397a2f17ae1fbbdb46bc598b13052896f6fdc1a4",
759	"02",
760	"67cdd6604eaae98e0699deb2f51cc3fcf51741ec4268f0ab0ee679a83297550049212b724b3433e1e2fea2b8397a2f17ae1fbbdb46bc598b13052896f6fdc1a3"
761	},
762	};
763	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
764	{
765	RTBIGNUM Dividend, Divisor, ExpectedQ, ExpectedR;
766	if ( testHexStringToNum(&Dividend, s_aTests[i].pszDividend, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
767	&& testHexStringToNum(&Divisor, s_aTests[i].pszDivisor, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
768	&& testHexStringToNum(&ExpectedQ, s_aTests[i].pszQuotient, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
769	&& testHexStringToNum(&ExpectedR, s_aTests[i].pszRemainder, RTBIGNUMINIT_F_UNSIGNED \| fFlags))
770	{
771	RTTESTI_CHECK_RC(RTBigNumDivide(&Quotient, &Remainder, &Dividend, &Divisor), VINF_SUCCESS);
772
773	if ( RTBigNumCompare(&Quotient, &ExpectedQ) != 0
774	\|\| RTBigNumCompare(&Remainder, &ExpectedR) != 0)
775	{
776	RTTestIFailed("i=%#x both\n"
777	"ExpQ: %.*Rhxs\n"
778	"GotQ: %.*Rhxs\n"
779	"ExpR: %.*Rhxs\n"
780	"GotR: %.*Rhxs\n",
781	i,
782	ExpectedQ.cUsed * RTBIGNUM_ELEMENT_SIZE, ExpectedQ.pauElements,
783	Quotient.cUsed * RTBIGNUM_ELEMENT_SIZE, Quotient.pauElements,
784	ExpectedR.cUsed * RTBIGNUM_ELEMENT_SIZE, ExpectedR.pauElements,
785	Remainder.cUsed * RTBIGNUM_ELEMENT_SIZE, Remainder.pauElements);
786	RTTestIPrintf(RTTESTLVL_ALWAYS, "{ \"%s\", \"%s\", \"%s\", \"%s\" },\n",
787	s_aTests[i].pszDividend, s_aTests[i].pszDivisor,
788	s_aTests[i].pszQuotient, s_aTests[i].pszRemainder);
789	}
790
791	RTTESTI_CHECK_RC(RTBigNumDivideLong(&Quotient, &Remainder, &Dividend, &Divisor), VINF_SUCCESS);
792	RTTESTI_CHECK(RTBigNumCompare(&Quotient, &ExpectedQ) == 0);
793	RTTESTI_CHECK(RTBigNumCompare(&Remainder, &ExpectedR) == 0);
794
795	RTTESTI_CHECK_RC(RTBigNumModulo(&Remainder, &Dividend, &Divisor), VINF_SUCCESS);
796	RTTESTI_CHECK(RTBigNumCompare(&Remainder, &ExpectedR) == 0);
797
798
799	RTTESTI_CHECK_RC(RTBigNumDestroy(&ExpectedR), VINF_SUCCESS);
800	RTTESTI_CHECK_RC(RTBigNumDestroy(&ExpectedQ), VINF_SUCCESS);
801	RTTESTI_CHECK_RC(RTBigNumDestroy(&Divisor), VINF_SUCCESS);
802	RTTESTI_CHECK_RC(RTBigNumDestroy(&Dividend), VINF_SUCCESS);
803	}
804	}
805
806	RTTESTI_CHECK_RC(RTBigNumDestroy(&Quotient), VINF_SUCCESS);
807	RTTESTI_CHECK_RC(RTBigNumDestroy(&Remainder), VINF_SUCCESS);
808	}
809	}
810
811
812	static void testModulo(void)
813	{
814	RTTestSub(g_hTest, "RTBigNumModulo");
815
816	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
817	{
818	RTBIGNUM Result;
819	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
820	RTBIGNUM Tmp;
821	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Tmp, fFlags), VINF_SUCCESS);
822
823	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Minus1, &g_Minus1), VINF_SUCCESS);
824	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
825
826	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Zero, &g_Minus1), VINF_SUCCESS);
827	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
828
829	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Minus1, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
830	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_LargeNegative, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
831	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_LargePositive, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
832
833	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Four, &g_Two), VINF_SUCCESS);
834	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
835
836	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Three, &g_Two), VINF_SUCCESS);
837	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
838
839	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_Ten, &g_Two), VINF_SUCCESS);
840	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
841
842	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_LargePositive, &g_LargePositiveMinus1), VINF_SUCCESS);
843	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
844
845	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_LargePositiveMinus1, &g_LargePositive), VINF_SUCCESS);
846	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargePositiveMinus1) == 0);
847
848	RTTESTI_CHECK_RC(RTBigNumAdd(&Result, &g_LargePositiveMinus1, &g_LargePositive), VINF_SUCCESS);
849	RTTESTI_CHECK_RC(RTBigNumAdd(&Tmp, &g_LargePositive, &Result), VINF_SUCCESS);
850	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &Tmp, &g_LargePositiveMinus1), VINF_SUCCESS);
851	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 2) == 0);
852	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &Tmp, &g_LargePositive), VINF_SUCCESS);
853	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_LargePositiveMinus1) == 0);
854
855	RTTESTI_CHECK_RC(RTBigNumModulo(&Result, &g_LargeNegative, &g_LargeNegativePluss1), VINF_SUCCESS);
856	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, -1) == 0);
857
858	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
859	}
860	}
861
862
863	static void testExponentiation(void)
864	{
865	RTTestSub(g_hTest, "RTBigNumExponentiate");
866
867	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
868	{
869	RTBIGNUM Result;
870	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
871	RTBIGNUM Result2;
872	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result2, fFlags), VINF_SUCCESS);
873
874	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_One, &g_One), VINF_SUCCESS);
875	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
876
877	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_Two, &g_One), VINF_SUCCESS);
878	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 2) == 0);
879
880	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_Two, &g_Two), VINF_SUCCESS);
881	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 4) == 0);
882
883	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_Two, &g_Ten), VINF_SUCCESS);
884	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1024) == 0);
885
886	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_Five, &g_Five), VINF_SUCCESS);
887	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 3125) == 0);
888
889	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &g_Five, &g_Ten), VINF_SUCCESS);
890	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 9765625) == 0);
891
892	static struct
893	{
894	const char pszBase, pszExponent, *pszResult;
895	} s_aTests[] =
896	{
897	{
898	"180DB4284A119D6133AE4BB0C27C27D1", /^/ "3A", /* = */
899	"04546412B9E39476F10009F62608F614774C5AE475482434F138C3EA976583ECE09E58F1F03CE41F821A1D5DA59B69D031290B0AC7F7D5058E3AFA2CA3DAA7261D1620CA"
900	"D050576C0AFDF51ADBFCB9073B9D8324E816EA6BE4648DF68092F6617ED609045E6BE9D5410AE2CFF725832414E67656233F4DFA952461D321282426D50E2AF524D779EC"
901	"0744547E8A4F0768C2C49AF3A5A89D129430CA58456BE4534BC53C67523506C7A8B5770D88CF28B6B3EEBE73F3EA71BA2CE27C4C89BE0D699922B1A1EB20143CB0830A43"
902	"D864DDFFF026BA781614C2D55F3EDEA7257B93A0F40824E57D6EDFCFFB4611C316374D0D15698E6584851F1898DCAE75FC4D180908763DDB2FF93766EF144D091274AFE5"
903	"6980A1F4F574D577DAD833EA9486A4B499BFCA9C08225D7BDB2C632B4D9B53EF51C02ED419F22657D626064BCC2B083CD664E1A8D68F82F33233A833AC98AA0282B8B88D"
904	"A430CF2E581A1C7C4A1D646CA42760ED10C398F7C032A94D53964E6885B5C1CA884EC15081D4C010978627C85767FEC6F93364044EA86567F9610ABFB837808CC995FB5F"
905	"710B21CE198E0D4AD9F73C3BD56CB9965C85C790BF3F4B326B5245BFA81783126217BF80687C4A8AA3AE80969A4407191B4F90E71A0ABCCB5FEDD40477CE9D10FBAEF103"
906	"8457AB19BD793CECDFF8B29A96F12F590BFED544E08F834A44DEEF461281C40024EFE9388689AAC69BCBAB3D06434172D9319F30754756E1CF77B300679215BEBD27FC20"
907	"A2F1D2029BC767D4894A5F7B21BD784CD1DD4F41697839969CB6D2AA1E0AFA5D3D644A792586F681EB36475CAE59EB457E55D6AC2E286E196BFAC000C7389A96C514552D"
908	"5D9D3DD962F72DAE4A7575A9A67856646239560A39E50826BB2523598C8F8FF0EC8D09618378E9F362A8FBFE842B55CD1855A95D8A5E93B8B91D31EB8FBBF57113F06171"
909	"BB69B81C4240EC4C7D1AC67EA1CE4CEBEE71828917EC1CF500E1AD2F09535F5498CD6E613383810A840A265AED5DD20AE58FFF2D0DEB8EF99FA494B22714F520E8E8B684"
910	"5E8521966A7B1699236998A730FDF9F049CE2A4EA44D1EBC3B9754908848540D0DEE64A6D60E2BFBC3362B659C10543BDC20C1BAD3D68B173442C100C2C366CB885E8490"
911	"EDB977E49E9D51D4427B73B3B999AF4BA17685387182C3918D20808197A2E3FCDD0F66ECDEC05542C23A08B94C83BDF93606A49E9A0645B002CFCA1EAE1917BEED0D6542"
912	"9A0EF00E5FB5F70D61C8C4DF1F1E9DA58188A221"
913	},
914	{
915	"03", /^/ "164b", /* = */
916	"29ABEC229C2B15C41573F8608D4DCD2DADAACA94CA3C40B42FFAD32D6202E228E16F61E050FF97EC5D45F24A4EB057C2D1A5DA72DFC5944E6941DBEDDE70EF56702BEC35"
917	"A3150EFE84E87185E3CBAB1D73F434EB820E41298BDD4F3941230DFFD8DFF1D2E2F3C5D0CB5088505B9C78507A81AAD8073C28B8FA70771C3E04110344328C6B3F38E55A"
918	"32B009F4DDA1813232C3FF422DF4E4D12545C803C63D0BE67E2E773B2BAC41CC69D895787B217D7BE9CE80BD4B500AE630AA21B50A06E0A74953F8011E9F23863CA79885"
919	"35D5FF0214DBD9B25756BE3D43008A15C018348E6A7C3355F4BECF37595BD530E5AC1AD3B14182862E47AD002097465F6B78F435B0D6365E18490567F508CD3CAAAD340A"
920	"E76A218FE8B517F923FE9CCDE61CB35409590CDBC606D89BA33B32A3862DEE7AB99DFBE103D02D2BED6D418B949E6B3C51CAB8AB5BE93AA104FA10D3A02D4CAD6700CD0F"
921	"83922EAAB18705915198DE51C1C562984E2B7571F36A4D756C459B61E0A4B7DE268A74E807311273DD51C2863771AB72504044C870E2498F13BF1DE92C13D93008E304D2"
922	"879C5D8A646DB5BF7BC64D96BB9E2FBA2EA6BF55CD825ABD995762F661C327133BE01F9A9F298CA096B3CE61CBBD8047A003870B218AC505D72ED6C7BF3B37BE5877B6A1"
923	"606A713EE86509C99B2A3627FD74AE7E81FE7F69C34B40E01A6F8B18A328E0F9D18A7911E5645331540538AA76B6D5D591F14313D730CFE30728089A245EE91058748F0C"
924	"E3E6CE4DE51D23E233BFF9007E0065AEBAA3FB0D0FACE62A4757FE1C9C7075E2214071197D5074C92AF1E6D853F7DE782F32F1E40507CB981A1C10AC6B1C23AC46C07EF1"
925	"EDE857C444902B936771DF75E0EE6C2CB3F0F9DBB387BAD0658E98F42A7338DE45E2F1B012B530FFD66861F74137C041D7558408A4A23B83FBDDE494381D9F9FF0326D44"
926	"302F75DE68B91A54CFF6E3C2821D09F2664CA74783C29AF98E2F1D3D84CAC49EAE55BABE3D2CBE8833D50517109E19CB5C63D1DE26E308ACC213D1CBCCF7C3AAE05B06D9"
927	"909AB0A1AEFD02A193CFADC7F724D377E1F4E78DC21012BE26D910548CDF55B0AB9CB64756045FF48C3B858E954553267C4087EC5A9C860CFA56CF5CFBB442BDDA298230"
928	"D6C000A6A6010D87FB4C3859C3AFAF15C37BCE03EBC392E8149056C489508841110060A991F1EEAF1E7CCF0B279AB2B35F3DAC0FAB4F4A107794E67D305E6D61A27C8FEB"
929	"DEA00C3334C888B2092E740DD3EFF7A69F06CE12EF511126EB23D80902D1D54BF4AEE04DF9457D59E8859AA83D6229481E1B1BC7C3ED96F6F7C1CEEF7B904268FD00BE51"
930	"1EF69692D593F8A9F7CCC053C343306940A4054A55DBA94D95FF6D02B7A73E110C2DBE6CA29C01B5921420B5BC9C92DAA9D82003829C6AE772FF12135C2E138C6725DC47"
931	"7938F3062264575EBBB1CBB359E496DD7A38AE0E33D1B1D9C16BDD87E6DE44DFB832286AE01D00AA14B423DBF7ECCC34A0A06A249707B75C2BA931D7F4F513FDF0F6E516"
932	"345B8DA85FEFD218B390828AECADF0C47916FAF44CB29010B0BB2BBA8E120B6DAFB2CC90B9D1B8659C2AFB"
933	}
934	};
935	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
936	{
937	RTBIGNUM Base, Exponent, Expected;
938	if ( testHexStringToNum(&Base, s_aTests[i].pszBase, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
939	&& testHexStringToNum(&Exponent, s_aTests[i].pszExponent, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
940	&& testHexStringToNum(&Expected, s_aTests[i].pszResult, RTBIGNUMINIT_F_UNSIGNED \| fFlags))
941	{
942	RTTESTI_CHECK_RC(RTBigNumExponentiate(&Result, &Base, &Exponent), VINF_SUCCESS);
943	RTTESTI_CHECK(RTBigNumCompare(&Result, &Expected) == 0);
944	RTTESTI_CHECK_RC(RTBigNumDestroy(&Base), VINF_SUCCESS);
945	RTTESTI_CHECK_RC(RTBigNumDestroy(&Exponent), VINF_SUCCESS);
946	RTTESTI_CHECK_RC(RTBigNumDestroy(&Expected), VINF_SUCCESS);
947	}
948	}
949	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
950	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result2), VINF_SUCCESS);
951	}
952	}
953
954
955	static void testModExp(void)
956	{
957	RTTestSub(g_hTest, "RTBigNumModExp");
958	RTBIGNUM Result;
959
960	for (uint32_t fFlags = 0; fFlags <= RTBIGNUMINIT_F_SENSITIVE; fFlags += RTBIGNUMINIT_F_SENSITIVE)
961	{
962	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, fFlags), VINF_SUCCESS);
963
964	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_One, &g_One, &g_One), VINF_SUCCESS);
965	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
966	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_One, &g_One), VINF_SUCCESS);
967	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
968	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_LargePositive, &g_One), VINF_SUCCESS);
969	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
970
971	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_One, &g_Zero, &g_Five), VINF_SUCCESS);
972	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 1);
973	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_Zero, &g_Five), VINF_SUCCESS);
974	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 1);
975	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_Zero, &g_One), VINF_SUCCESS);
976	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
977	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_Zero, &g_LargePositive), VINF_SUCCESS);
978	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 1);
979
980	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Zero, &g_Zero, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
981	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_Zero, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
982	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_LargePositive, &g_LargePositive, &g_Zero), VERR_BIGNUM_DIV_BY_ZERO);
983
984	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Two, &g_Four, &g_Five), VINF_SUCCESS);
985	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
986
987	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Two, &g_Four, &g_Three), VINF_SUCCESS);
988	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 1) == 0);
989
990	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Three, &g_Three, &g_Three), VINF_SUCCESS);
991	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 0) == 0);
992
993	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Three, &g_Three, &g_Five), VINF_SUCCESS);
994	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 2) == 0);
995
996	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Three, &g_Five, &g_Five), VINF_SUCCESS);
997	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 3) == 0);
998
999	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Three, &g_Five, &g_Four), VINF_SUCCESS);
1000	RTTESTI_CHECK(RTBigNumCompareWithS64(&Result, 3) == 0);
1001
1002	#if 0
1003	static struct
1004	{
1005	const char pszBase, pszExponent, pszModulus, pszResult;
1006	} s_aTests[] =
1007	{
1008	{
1009	"180DB4284A119D6133AE4BB0C27C27D1", /^/ "3A", /mod / " ", /* = */
1010	},
1011	};
1012	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
1013	{
1014	RTBIGNUM Base, Exponent, Expected, Modulus;
1015	if ( testHexStringToNum(&Base, s_aTests[i].pszBase, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
1016	&& testHexStringToNum(&Exponent, s_aTests[i].pszExponent, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
1017	&& testHexStringToNum(&Modulus, s_aTests[i].pszModulus, RTBIGNUMINIT_F_UNSIGNED \| fFlags)
1018	&& testHexStringToNum(&Expected, s_aTests[i].pszResult, RTBIGNUMINIT_F_UNSIGNED \| fFlags))
1019	{
1020	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &Base, &Exponent, &Modulus), VINF_SUCCESS);
1021	RTTESTI_CHECK(RTBigNumCompare(&Result, &Expected) == 0);
1022	RTTESTI_CHECK_RC(RTBigNumDestroy(&Base), VINF_SUCCESS);
1023	RTTESTI_CHECK_RC(RTBigNumDestroy(&Exponent), VINF_SUCCESS);
1024	RTTESTI_CHECK_RC(RTBigNumDestroy(&Expected), VINF_SUCCESS);
1025	RTTESTI_CHECK_RC(RTBigNumDestroy(&Modulus), VINF_SUCCESS);
1026	}
1027	}
1028	#endif
1029
1030	RTTESTI_CHECK_RC(RTBigNumDestroy(&Result), VINF_SUCCESS);
1031	}
1032
1033	/* Decrypt a PKCS#7 signature. */
1034	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Result, 0), VINF_SUCCESS);
1035	RTTESTI_CHECK_RC(RTBigNumModExp(&Result, &g_Signature, &g_PubKeyExp, &g_PubKeyMod), VINF_SUCCESS);
1036	RTTESTI_CHECK(RTBigNumCompare(&Result, &g_SignatureDecrypted) == 0);
1037	}
1038
1039
1040	static void testToBytes(void)
1041	{
1042	RTTestSub(g_hTest, "RTBigNumToBytes*Endian");
1043	uint8_t abBuf[sizeof(g_abLargePositive) + sizeof(g_abLargeNegative)];
1044
1045	memset(abBuf, 0xcc, sizeof(abBuf));
1046	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Zero, abBuf, 1), VINF_SUCCESS);
1047	RTTESTI_CHECK(abBuf[0] == 0 && abBuf[1] == 0xcc);
1048
1049	memset(abBuf, 0xcc, sizeof(abBuf));
1050	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Zero, abBuf, 2), VINF_SUCCESS);
1051	RTTESTI_CHECK(abBuf[0] == 0 && abBuf[1] == 0 && abBuf[2] == 0xcc);
1052
1053	memset(abBuf, 0xcc, sizeof(abBuf));
1054	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Zero, abBuf, 3), VINF_SUCCESS);
1055	RTTESTI_CHECK(abBuf[0] == 0 && abBuf[1] == 0 && abBuf[2] == 0 && abBuf[3] == 0xcc);
1056
1057	memset(abBuf, 0xcc, sizeof(abBuf));
1058	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Zero, abBuf, 4), VINF_SUCCESS);
1059	RTTESTI_CHECK(abBuf[0] == 0 && abBuf[1] == 0 && abBuf[2] == 0 && abBuf[3] == 0 && abBuf[4] == 0xcc);
1060
1061
1062	memset(abBuf, 0xcc, sizeof(abBuf));
1063	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Minus1, abBuf, 1), VINF_SUCCESS);
1064	RTTESTI_CHECK(abBuf[0] == 0xff && abBuf[1] == 0xcc && abBuf[2] == 0xcc && abBuf[3] == 0xcc && abBuf[4] == 0xcc);
1065
1066	memset(abBuf, 0xcc, sizeof(abBuf));
1067	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Minus1, abBuf, 2), VINF_SUCCESS);
1068	RTTESTI_CHECK(abBuf[0] == 0xff && abBuf[1] == 0xff && abBuf[2] == 0xcc && abBuf[3] == 0xcc && abBuf[4] == 0xcc);
1069
1070	memset(abBuf, 0xcc, sizeof(abBuf));
1071	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Minus1, abBuf, 3), VINF_SUCCESS);
1072	RTTESTI_CHECK(abBuf[0] == 0xff && abBuf[1] == 0xff && abBuf[2] == 0xff && abBuf[3] == 0xcc && abBuf[4] == 0xcc);
1073
1074	memset(abBuf, 0xcc, sizeof(abBuf));
1075	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_Minus1, abBuf, 4), VINF_SUCCESS);
1076	RTTESTI_CHECK(abBuf[0] == 0xff && abBuf[1] == 0xff && abBuf[2] == 0xff && abBuf[3] == 0xff && abBuf[4] == 0xcc);
1077
1078
1079	memset(abBuf, 0xcc, sizeof(abBuf));
1080	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_LargePositive, abBuf, sizeof(g_abLargePositive)), VINF_SUCCESS);
1081	RTTESTI_CHECK(memcmp(abBuf, g_abLargePositive, sizeof(g_abLargePositive)) == 0);
1082	RTTESTI_CHECK(abBuf[sizeof(g_abLargePositive)] == 0xcc);
1083
1084	memset(abBuf, 0xcc, sizeof(abBuf));
1085	RTTESTI_CHECK_RC(RTBigNumToBytesBigEndian(&g_LargePositive, abBuf, sizeof(g_abLargePositive) -1 ), VERR_BUFFER_OVERFLOW);
1086	RTTESTI_CHECK(memcmp(abBuf, &g_abLargePositive[1], sizeof(g_abLargePositive) - 1) == 0);
1087	RTTESTI_CHECK(abBuf[sizeof(g_abLargePositive) - 1] == 0xcc);
1088	}
1089
1090
1091	static void testBenchmarks(bool fOnlyModExp)
1092	{
1093	RTTestSub(g_hTest, "Benchmarks");
1094
1095	/*
1096	* For the modexp benchmark we decrypt a real PKCS #7 signature.
1097	*/
1098	RTBIGNUM Decrypted;
1099	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Decrypted, 0 /fFlags/), VINF_SUCCESS);
1100	RTTESTI_CHECK_RC_RETV(RTBigNumModExp(&Decrypted, &g_Signature, &g_PubKeyExp, &g_PubKeyMod), VINF_SUCCESS);
1101	RTTESTI_CHECK_RC_RETV(RTBigNumModExp(&Decrypted, &g_Signature, &g_PubKeyExp, &g_PubKeyMod), VINF_SUCCESS);
1102
1103	RTThreadYield();
1104	int rc = VINF_SUCCESS;
1105	uint32_t cRounds = 0;
1106	uint64_t uStartTS = RTTimeNanoTS();
1107	while (cRounds < 10240)
1108	{
1109	rc \|= RTBigNumModExp(&Decrypted, &g_Signature, &g_PubKeyExp, &g_PubKeyMod);
1110	cRounds++;
1111	}
1112	uint64_t uElapsed = RTTimeNanoTS() - uStartTS;
1113	RTTESTI_CHECK_RC(rc, VINF_SUCCESS);
1114	RTTestIValue("RTBigNumModExp", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1115
1116	if (fOnlyModExp)
1117	return;
1118
1119	#if 1
1120	/* Compare with OpenSSL BN. */
1121	BN_CTX *pObnCtx = BN_CTX_new();
1122	BIGNUM *pObnPubKeyExp = BN_bin2bn(g_abPubKeyExp, sizeof(g_abPubKeyExp), NULL);
1123	BIGNUM *pObnPubKeyMod = BN_bin2bn(g_abPubKeyMod, sizeof(g_abPubKeyMod), NULL);
1124	BIGNUM *pObnSignature = BN_bin2bn(g_abSignature, sizeof(g_abSignature), NULL);
1125	BIGNUM *pObnSignatureDecrypted = BN_bin2bn(g_abSignatureDecrypted, sizeof(g_abSignatureDecrypted), NULL);
1126	BIGNUM *pObnResult = BN_new();
1127	RTTESTI_CHECK_RETV(BN_mod_exp(pObnResult, pObnSignature, pObnPubKeyExp, pObnPubKeyMod, pObnCtx) == 1);
1128	RTTESTI_CHECK_RETV(BN_ucmp(pObnResult, pObnSignatureDecrypted) == 0);
1129
1130	rc = 1;
1131	cRounds = 0;
1132	uStartTS = RTTimeNanoTS();
1133	while (cRounds < 4096)
1134	{
1135	rc &= BN_mod_exp(pObnResult, pObnSignature, pObnPubKeyExp, pObnPubKeyMod, pObnCtx);
1136	cRounds++;
1137	}
1138	uElapsed = RTTimeNanoTS() - uStartTS;
1139	RTTESTI_CHECK_RC(rc, 1);
1140	RTTestIValue("BN_mod_exp", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1141
1142	rc = 1;
1143	cRounds = 0;
1144	uStartTS = RTTimeNanoTS();
1145	while (cRounds < 4096)
1146	{
1147	rc &= BN_mod_exp_simple(pObnResult, pObnSignature, pObnPubKeyExp, pObnPubKeyMod, pObnCtx);
1148	cRounds++;
1149	}
1150	uElapsed = RTTimeNanoTS() - uStartTS;
1151	RTTESTI_CHECK_RC(rc, 1);
1152	RTTestIValue("BN_mod_exp_simple", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1153	#endif
1154
1155	/*
1156	* Check out the speed of modulo.
1157	*/
1158	RTBIGNUM Product;
1159	RTTESTI_CHECK_RC_RETV(RTBigNumInitZero(&Product, 0), VINF_SUCCESS);
1160	RTTESTI_CHECK_RC_RETV(RTBigNumMultiply(&Product, &g_Signature, &g_Signature), VINF_SUCCESS);
1161	RTTESTI_CHECK_RC_RETV(RTBigNumModulo(&Decrypted, &Product, &g_PubKeyMod), VINF_SUCCESS);
1162	RTThreadYield();
1163	rc = VINF_SUCCESS;
1164	cRounds = 0;
1165	uStartTS = RTTimeNanoTS();
1166	while (cRounds < 10240)
1167	{
1168	rc \|= RTBigNumModulo(&Decrypted, &Product, &g_PubKeyMod);
1169	cRounds++;
1170	}
1171	uElapsed = RTTimeNanoTS() - uStartTS;
1172	RTTESTI_CHECK_RC(rc, VINF_SUCCESS);
1173	RTTestIValue("RTBigNumModulo", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1174
1175	#if 1
1176	/* Compare with OpenSSL BN. */
1177	BIGNUM *pObnProduct = BN_new();
1178	RTTESTI_CHECK_RETV(BN_mul(pObnProduct, pObnSignature, pObnSignature, pObnCtx) == 1);
1179	RTTESTI_CHECK_RETV(BN_mod(pObnResult, pObnProduct, pObnPubKeyMod, pObnCtx) == 1);
1180	rc = 1;
1181	cRounds = 0;
1182	uStartTS = RTTimeNanoTS();
1183	while (cRounds < 10240)
1184	{
1185	rc &= BN_mod(pObnResult, pObnProduct, pObnPubKeyMod, pObnCtx);
1186	cRounds++;
1187	}
1188	uElapsed = RTTimeNanoTS() - uStartTS;
1189	RTTESTI_CHECK_RC(rc, 1);
1190	RTTestIValue("BN_mod", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1191	#endif
1192
1193	/*
1194	* Check out the speed of multiplication.
1195	*/
1196	RTThreadYield();
1197	rc = VINF_SUCCESS;
1198	cRounds = 0;
1199	uStartTS = RTTimeNanoTS();
1200	while (cRounds < 10240)
1201	{
1202	rc \|= RTBigNumMultiply(&Product, &g_Signature, &g_Signature);
1203	cRounds++;
1204	}
1205	uElapsed = RTTimeNanoTS() - uStartTS;
1206	RTTESTI_CHECK_RC(rc, VINF_SUCCESS);
1207	RTTestIValue("RTBigNumMultiply", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1208
1209	#if 1
1210	/* Compare with OpenSSL BN. */
1211	rc = 1;
1212	cRounds = 0;
1213	uStartTS = RTTimeNanoTS();
1214	while (cRounds < 10240)
1215	{
1216	rc &= BN_mul(pObnProduct, pObnSignature, pObnSignature, pObnCtx);
1217	cRounds++;
1218	}
1219	uElapsed = RTTimeNanoTS() - uStartTS;
1220	RTTESTI_CHECK_RC(rc, 1);
1221	RTTestIValue("BN_mul", uElapsed / cRounds, RTTESTUNIT_NS_PER_CALL);
1222	#endif
1223
1224	}
1225
1226	/*
1227	* UInt128 tests (RTBigInt uses UInt128 in some cases.
1228	*/
1229
1230	static void testUInt128Subtraction(void)
1231	{
1232	RTTestSub(g_hTest, "RTUInt128Sub");
1233
1234	static struct
1235	{
1236	RTUINT128U uMinuend, uSubtrahend, uResult;
1237	} const s_aTests[] =
1238	{
1239	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0) },
1240	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(~0, ~0) },
1241	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 0) },
1242	{ RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1) },
1243	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(~0, ~0) },
1244	{ RTUINT128_INIT_C(2, 9), RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(0, 9) },
1245	{ RTUINT128_INIT_C(2, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(1, ~0) },
1246	{
1247	RTUINT128_INIT_C(0xffffffffffffffff, 0x0000000000000000),
1248	RTUINT128_INIT_C(0x0000000000000000, 0xffffffffffffffff),
1249	RTUINT128_INIT_C(0xfffffffffffffffe, 0x0000000000000001),
1250	},
1251	{
1252	RTUINT128_INIT_C(0xffffffffffffffff, 0xfffffffffff00000),
1253	RTUINT128_INIT_C(0x0000000000000000, 0x00000000000fffff),
1254	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffe00001),
1255	},
1256	{
1257	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1258	RTUINT128_INIT_C(0x00000fffffffffff, 0xffffffffffffffff),
1259	RTUINT128_INIT_C(0xfffff00000000000, 0x0000000000000000)
1260	},
1261	{
1262	RTUINT128_INIT_C(0x0000000000000000, 0x000000251ce8fe85),
1263	RTUINT128_INIT_C(0x0000000000000000, 0x0000000301f41b4d),
1264	RTUINT128_INIT_C(0x0000000000000000, 0x000000221af4e338),
1265	},
1266	{
1267	RTUINT128_INIT_C(0xfd4d22a441ffa48c, 0x170739b573a9498d),
1268	RTUINT128_INIT_C(0x43459cea40782b26, 0xc8c16bb29cb3b343),
1269	RTUINT128_INIT_C(0xba0785ba01877965, 0x4e45ce02d6f5964a),
1270	},
1271	};
1272	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
1273	{
1274	RTUINT128U uResult;
1275	PRTUINT128U pResult = RTUInt128Sub(&uResult, &s_aTests[i].uMinuend, &s_aTests[i].uSubtrahend);
1276	if (pResult != &uResult)
1277	RTTestIFailed("test #%i returns %p instead of %p", i, pResult, &uResult);
1278	else if (RTUInt128IsNotEqual(&uResult, &s_aTests[i].uResult))
1279	RTTestIFailed("test #%i failed: remainder differs:\nExp: %016RX64`%016RX64\nGot: %016RX64`%016RX64",
1280	i, s_aTests[i].uResult.s.Hi, s_aTests[i].uResult.s.Lo, uResult.s.Hi, uResult.s.Lo );
1281
1282	uResult = s_aTests[i].uMinuend;
1283	pResult = RTUInt128AssignSub(&uResult, &s_aTests[i].uSubtrahend);
1284	RTTESTI_CHECK(pResult == &uResult);
1285	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1286	}
1287	}
1288
1289
1290	static void testUInt128Addition(void)
1291	{
1292	RTTestSub(g_hTest, "RTUInt128Add");
1293
1294	static struct
1295	{
1296	RTUINT128U uAugend, uAddend, uResult;
1297	} const s_aTests[] =
1298	{
1299	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0) },
1300	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1) },
1301	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 2) },
1302	{ RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 3) },
1303	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(0, 3) },
1304	{ RTUINT128_INIT_C(2, 9), RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(4, 9) },
1305	{ RTUINT128_INIT_C(2, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(2, 3) },
1306	{
1307	RTUINT128_INIT_C(0xffffffffffffffff, 0x0000000000000000),
1308	RTUINT128_INIT_C(0x0000000000000000, 0xffffffffffffffff),
1309	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1310	},
1311	{
1312	RTUINT128_INIT_C(0xffffffffffffffff, 0xfffffffffff00000),
1313	RTUINT128_INIT_C(0x0000000000000000, 0x00000000000ffeff),
1314	RTUINT128_INIT_C(0xffffffffffffffff, 0xfffffffffffffeff),
1315	},
1316	{
1317	RTUINT128_INIT_C(0xefffffffffffffff, 0xfffffffffff00000),
1318	RTUINT128_INIT_C(0x0000000000000000, 0x00000000001fffff),
1319	RTUINT128_INIT_C(0xf000000000000000, 0x00000000000fffff),
1320	},
1321	{
1322	RTUINT128_INIT_C(0xeeeeeeeeeeeeeeee, 0xeeeeeeeeeee00000),
1323	RTUINT128_INIT_C(0x0111111111111111, 0x11111111112fffff),
1324	RTUINT128_INIT_C(0xf000000000000000, 0x00000000000fffff),
1325	},
1326	{
1327	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1328	RTUINT128_INIT_C(0x00000fffffffffff, 0xffffffffffffffff),
1329	RTUINT128_INIT_C(0x00000fffffffffff, 0xfffffffffffffffe)
1330	},
1331	{
1332	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1333	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1334	RTUINT128_INIT_C(0xffffffffffffffff, 0xfffffffffffffffe)
1335	},
1336	{
1337	RTUINT128_INIT_C(0x0000000000000000, 0x000000251ce8fe85),
1338	RTUINT128_INIT_C(0x0000000000000000, 0x0000000301f41b4d),
1339	RTUINT128_INIT_C(0x0000000000000000, 0x000000281edd19d2),
1340	},
1341	{
1342	RTUINT128_INIT_C(0xfd4d22a441ffa48c, 0x170739b573a9498d),
1343	RTUINT128_INIT_C(0x43459cea40782b26, 0xc8c16bb29cb3b343),
1344	RTUINT128_INIT_C(0x4092bf8e8277cfb2, 0xdfc8a568105cfcd0),
1345	},
1346	};
1347	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
1348	{
1349	RTUINT128U uResult;
1350	PRTUINT128U pResult = RTUInt128Add(&uResult, &s_aTests[i].uAugend, &s_aTests[i].uAddend);
1351	if (pResult != &uResult)
1352	RTTestIFailed("test #%i returns %p instead of %p", i, pResult, &uResult);
1353	else if (RTUInt128IsNotEqual(&uResult, &s_aTests[i].uResult))
1354	RTTestIFailed("test #%i failed: result differs:\nExp: %016RX64`%016RX64\nGot: %016RX64`%016RX64",
1355	i, s_aTests[i].uResult.s.Hi, s_aTests[i].uResult.s.Lo, uResult.s.Hi, uResult.s.Lo );
1356
1357	uResult = s_aTests[i].uAugend;
1358	pResult = RTUInt128AssignAdd(&uResult, &s_aTests[i].uAddend);
1359	RTTESTI_CHECK(pResult == &uResult);
1360	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1361
1362	if (s_aTests[i].uAddend.s.Hi == 0)
1363	{
1364	pResult = RTUInt128AddU64(&uResult, &s_aTests[i].uAugend, s_aTests[i].uAddend.s.Lo);
1365	RTTESTI_CHECK(pResult == &uResult);
1366	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1367
1368	uResult = s_aTests[i].uAugend;
1369	pResult = RTUInt128AssignAddU64(&uResult, s_aTests[i].uAddend.s.Lo);
1370	RTTESTI_CHECK(pResult == &uResult);
1371	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1372	}
1373
1374	if (s_aTests[i].uAugend.s.Hi == 0)
1375	{
1376	pResult = RTUInt128AddU64(&uResult, &s_aTests[i].uAddend, s_aTests[i].uAugend.s.Lo);
1377	RTTESTI_CHECK(pResult == &uResult);
1378	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1379
1380	uResult = s_aTests[i].uAddend;
1381	pResult = RTUInt128AssignAddU64(&uResult, s_aTests[i].uAugend.s.Lo);
1382	RTTESTI_CHECK(pResult == &uResult);
1383	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1384	}
1385	}
1386	}
1387
1388	static void testUInt128Multiplication(void)
1389	{
1390	RTTestSub(g_hTest, "RTUInt128Mul");
1391
1392	static struct
1393	{
1394	RTUINT128U uFactor1, uFactor2, uResult;
1395	} const s_aTests[] =
1396	{
1397	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 0) },
1398	{ RTUINT128_INIT_C(~0, ~0), RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0) },
1399	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1) },
1400	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(0, 2) },
1401	{ RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(0, 0) },
1402	{ RTUINT128_INIT_C(2, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(4, 2) },
1403	{
1404	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1405	RTUINT128_INIT_C(0, 2),
1406	RTUINT128_INIT_C(0x2222222222222222, 0x2222222222222222)
1407	},
1408	{
1409	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1410	RTUINT128_INIT_C(0, 0xf),
1411	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff)
1412	},
1413	{
1414	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1415	RTUINT128_INIT_C(0, 0x30000),
1416	RTUINT128_INIT_C(0x3333333333333333, 0x3333333333330000)
1417	},
1418	{
1419	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1420	RTUINT128_INIT_C(0, 0x30000000),
1421	RTUINT128_INIT_C(0x3333333333333333, 0x3333333330000000)
1422	},
1423	{
1424	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1425	RTUINT128_INIT_C(0, 0x3000000000000),
1426	RTUINT128_INIT_C(0x3333333333333333, 0x3333000000000000)
1427	},
1428	{
1429	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1430	RTUINT128_INIT_C(0x0000000000000003, 0x0000000000000000),
1431	RTUINT128_INIT_C(0x3333333333333333, 0x0000000000000000)
1432	},
1433	{
1434	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1435	RTUINT128_INIT_C(0x0000000300000000, 0x0000000000000000),
1436	RTUINT128_INIT_C(0x3333333300000000, 0x0000000000000000)
1437	},
1438	{
1439	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1440	RTUINT128_INIT_C(0x0003000000000000, 0x0000000000000000),
1441	RTUINT128_INIT_C(0x3333000000000000, 0x0000000000000000)
1442	},
1443	{
1444	RTUINT128_INIT_C(0x1111111111111111, 0x1111111111111111),
1445	RTUINT128_INIT_C(0x3000000000000000, 0x0000000000000000),
1446	RTUINT128_INIT_C(0x3000000000000000, 0x0000000000000000)
1447	},
1448	};
1449	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
1450	{
1451	RTUINT128U uResult;
1452	PRTUINT128U pResult = RTUInt128Mul(&uResult, &s_aTests[i].uFactor1, &s_aTests[i].uFactor2);
1453	if (pResult != &uResult)
1454	RTTestIFailed("test #%i returns %p instead of %p", i, pResult, &uResult);
1455	else if (RTUInt128IsNotEqual(&uResult, &s_aTests[i].uResult))
1456	RTTestIFailed("test #%i failed: \nExp: %016RX64`%016RX64\nGot: %016RX64`%016RX64",
1457	i, s_aTests[i].uResult.s.Hi, s_aTests[i].uResult.s.Lo, uResult.s.Hi, uResult.s.Lo );
1458
1459	if (s_aTests[i].uFactor2.s.Hi == 0)
1460	{
1461	pResult = RTUInt128MulByU64(&uResult, &s_aTests[i].uFactor1, s_aTests[i].uFactor2.s.Lo);
1462	RTTESTI_CHECK(pResult == &uResult);
1463	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1464	}
1465
1466	if (s_aTests[i].uFactor1.s.Hi == 0)
1467	{
1468	pResult = RTUInt128MulByU64(&uResult, &s_aTests[i].uFactor2, s_aTests[i].uFactor1.s.Lo);
1469	RTTESTI_CHECK(pResult == &uResult);
1470	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1471	}
1472
1473	uResult = s_aTests[i].uFactor1;
1474	pResult = RTUInt128AssignMul(&uResult, &s_aTests[i].uFactor2);
1475	RTTESTI_CHECK(pResult == &uResult);
1476	RTTESTI_CHECK(RTUInt128IsEqual(&uResult, &s_aTests[i].uResult));
1477	}
1478	}
1479
1480
1481	#if 0 /* Java program for generating testUInt128Division test data. */
1482	import java.math.BigInteger;
1483	import java.lang.System;
1484	import java.lang.Integer;
1485	import java.util.Random;
1486	import java.security.SecureRandom;
1487
1488	class uint128divtestgen
1489	{
1490
1491	public static String format(BigInteger BigNum)
1492	{
1493	String str = BigNum.toString(16);
1494	while (str.length() < 32)
1495	str = "0" + str;
1496	return "RTUINT128_INIT_C(0x" + str.substring(0, 16) + ", 0x" + str.substring(16) + ")";
1497	}
1498
1499	public static void main(String args[])
1500	{
1501	Random Rnd = new SecureRandom();
1502
1503	int cDivisorLarger = 0;
1504	for (int i = 0; i < 4096; i++)
1505	{
1506	int cDividendBits = Rnd.nextInt(127) + 1;
1507	int cDivisorBits = i < 9 ? cDividendBits : Rnd.nextInt(127) + 1;
1508	if (cDivisorBits > cDividendBits)
1509	{
1510	if (cDivisorLarger > i / 16)
1511	cDividendBits = 128 - Rnd.nextInt(16);
1512	else
1513	cDivisorLarger++;
1514	}
1515
1516	BigInteger Dividend = new BigInteger(cDividendBits, Rnd);
1517	BigInteger Divisor = new BigInteger(cDivisorBits, Rnd);
1518	while (Divisor.compareTo(BigInteger.ZERO) == 0) {
1519	cDivisorBits++;
1520	Divisor = new BigInteger(cDivisorBits, Rnd);
1521	}
1522
1523	BigInteger[] Result = Dividend.divideAndRemainder(Divisor);
1524
1525	System.out.println(" { /* i=" + Integer.toString(i) + "; " + Integer.toString(cDividendBits) + " / " + Integer.toString(cDivisorBits) + " */");
1526	System.out.println(" " + format(Dividend) + ", " + format(Divisor) + ",");
1527	System.out.println(" " + format(Result[0]) + ", " + format(Result[1]) + "");
1528	System.out.println(" },");
1529	}
1530	}
1531	}
1532	#endif
1533
1534	static void testUInt128Division(void)
1535	{
1536	RTTestSub(g_hTest, "RTUInt128DivMod");
1537
1538	static struct
1539	{
1540	RTUINT128U uDividend, uDivisor, uQuotient, uRemainder;
1541	} const s_aTests[] =
1542	{
1543	{ RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 0) }, /* #0 */
1544	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 0) }, /* #1 */
1545	{ RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(0, 0), RTUINT128_INIT_C(0, 1) }, /* #2 */
1546	{ RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(2, 0), RTUINT128_INIT_C(0, 1), RTUINT128_INIT_C(0, 0) }, /* #3 */
1547	{ RTUINT128_INIT_C(2, 1), RTUINT128_INIT_C(0, 2), RTUINT128_INIT_C(1, 0), RTUINT128_INIT_C(0, 1) }, /* #4 */
1548	{ /* #5 */
1549	RTUINT128_INIT_C(0xffffffffffffffff, 0x0000000000000000),
1550	RTUINT128_INIT_C(0x0000000000000000, 0xffffffffffffffff),
1551	RTUINT128_INIT_C(0x0000000000000001, 0x0000000000000000),
1552	RTUINT128_INIT_C(0x0000000000000000, 0x0000000000000000)
1553	},
1554	{ /* #6 */
1555	RTUINT128_INIT_C(0xffffffffffffffff, 0xfffffffffff00000),
1556	RTUINT128_INIT_C(0x00000fffffffffff, 0xffffffffffffffff),
1557	RTUINT128_INIT_C(0x0000000000000000, 0x0000000000100000),
1558	RTUINT128_INIT_C(0x0000000000000000, 0x0000000000000000)
1559	},
1560	{ /* #7 */
1561	RTUINT128_INIT_C(0xffffffffffffffff, 0xffffffffffffffff),
1562	RTUINT128_INIT_C(0x00000fffffffffff, 0xffffffffffffffff),
1563	RTUINT128_INIT_C(0x0000000000000000, 0x0000000000100000),
1564	RTUINT128_INIT_C(0x0000000000000000, 0x00000000000fffff)
1565	},
1566	{ /* #8 */
1567	RTUINT128_INIT_C(0x0000000000000000, 0x000000251ce8fe85), RTUINT128_INIT_C(0x0000000000000000, 0x0000000301f41b4d),
1568	RTUINT128_INIT_C(0x0000000000000000, 0x000000000000000c), RTUINT128_INIT_C(0x0000000000000000, 0x000000010577b6e9)
1569	},
1570
1571	#include "tstRTBigNum-uint128-div-test-data.h"
1572	};
1573	for (uint32_t i = 0; i < RT_ELEMENTS(s_aTests); i++)
1574	{
1575	RTUINT128U uResultQ, uResultR;
1576	PRTUINT128U pResultQ = RTUInt128DivRem(&uResultQ, &uResultR, &s_aTests[i].uDividend, &s_aTests[i].uDivisor);
1577	if (pResultQ != &uResultQ)
1578	RTTestIFailed("test #%i returns %p instead of %p", i, pResultQ, &uResultQ);
1579	else if ( RTUInt128IsNotEqual(&uResultQ, &s_aTests[i].uQuotient)
1580	&& RTUInt128IsNotEqual(&uResultR, &s_aTests[i].uRemainder))
1581	{
1582	RTTestIFailed("test #%i failed on both counts", i);
1583	}
1584	else if (RTUInt128IsNotEqual(&uResultQ, &s_aTests[i].uQuotient))
1585	RTTestIFailed("test #%i failed: quotient differs:\nExp: %016RX64`%016RX64\nGot: %016RX64`%016RX64",
1586	i, s_aTests[i].uQuotient.s.Hi, s_aTests[i].uQuotient.s.Lo, uResultQ.s.Hi, uResultQ.s.Lo );
1587	else if (RTUInt128IsNotEqual(&uResultR, &s_aTests[i].uRemainder))
1588	RTTestIFailed("test #%i failed: remainder differs:\nExp: %016RX64`%016RX64\nGot: %016RX64`%016RX64",
1589	i, s_aTests[i].uRemainder.s.Hi, s_aTests[i].uRemainder.s.Lo, uResultR.s.Hi, uResultR.s.Lo );
1590
1591	pResultQ = RTUInt128Div(&uResultQ, &s_aTests[i].uDividend, &s_aTests[i].uDivisor);
1592	RTTESTI_CHECK(pResultQ == &uResultQ);
1593	RTTESTI_CHECK(RTUInt128IsEqual(&uResultQ, &s_aTests[i].uQuotient));
1594
1595	uResultQ = s_aTests[i].uDividend;
1596	pResultQ = RTUInt128AssignDiv(&uResultQ, &s_aTests[i].uDivisor);
1597	RTTESTI_CHECK(pResultQ == &uResultQ);
1598	RTTESTI_CHECK(RTUInt128IsEqual(&uResultQ, &s_aTests[i].uQuotient));
1599
1600
1601	PRTUINT128U pResultR = RTUInt128Mod(&uResultR, &s_aTests[i].uDividend, &s_aTests[i].uDivisor);
1602	RTTESTI_CHECK(pResultR == &uResultR);
1603	RTTESTI_CHECK(RTUInt128IsEqual(&uResultR, &s_aTests[i].uRemainder));
1604
1605	uResultR = s_aTests[i].uDividend;
1606	pResultR = RTUInt128AssignMod(&uResultR, &s_aTests[i].uDivisor);
1607	RTTESTI_CHECK(pResultR == &uResultR);
1608	RTTESTI_CHECK(RTUInt128IsEqual(&uResultR, &s_aTests[i].uRemainder));
1609	}
1610	}
1611
1612
1613
1614	int main(int argc, char **argv)
1615	{
1616	RTEXITCODE rcExit = RTTestInitAndCreate("tstRTBigNum", &g_hTest);
1617	if (rcExit != RTEXITCODE_SUCCESS)
1618	return rcExit;
1619	RTTestBanner(g_hTest);
1620
1621	/* Init fixed integers. */
1622	RTTestSub(g_hTest, "RTBigNumInit");
1623	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargePositive, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1624	g_abLargePositive, sizeof(g_abLargePositive)), VINF_SUCCESS);
1625	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargePositive2, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1626	g_abLargePositive, sizeof(g_abLargePositive) - 11), VINF_SUCCESS);
1627	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargePositiveMinus1, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1628	g_abLargePositiveMinus1, sizeof(g_abLargePositiveMinus1)), VINF_SUCCESS);
1629	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargeNegative, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1630	g_abLargeNegative, sizeof(g_abLargeNegative)), VINF_SUCCESS);
1631	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargeNegative2, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1632	g_abLargeNegative, sizeof(g_abLargeNegative) - 9), VINF_SUCCESS);
1633	RTTESTI_CHECK_RC(RTBigNumInit(&g_LargeNegativePluss1, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1634	g_abLargeNegativePluss1, sizeof(g_abLargeNegativePluss1)), VINF_SUCCESS);
1635	RTTESTI_CHECK_RC(RTBigNumInit(&g_64BitPositive1, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1636	g_ab64BitPositive1, sizeof(g_ab64BitPositive1)), VINF_SUCCESS);
1637
1638	RTTESTI_CHECK_RC(RTBigNumInitZero(&g_Zero, 0), VINF_SUCCESS);
1639	RTTESTI_CHECK_RC(RTBigNumInit(&g_One, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x01", 1), VINF_SUCCESS);
1640	RTTESTI_CHECK_RC(RTBigNumInit(&g_Two, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x02", 1), VINF_SUCCESS);
1641	RTTESTI_CHECK_RC(RTBigNumInit(&g_Three, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x03", 1), VINF_SUCCESS);
1642	RTTESTI_CHECK_RC(RTBigNumInit(&g_Four, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x04", 1), VINF_SUCCESS);
1643	RTTESTI_CHECK_RC(RTBigNumInit(&g_Five, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x05", 1), VINF_SUCCESS);
1644	RTTESTI_CHECK_RC(RTBigNumInit(&g_Ten, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x0a", 1), VINF_SUCCESS);
1645	RTTESTI_CHECK_RC(RTBigNumInit(&g_FourtyTwo, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED, "\x2a", 1), VINF_SUCCESS);
1646
1647	RTTESTI_CHECK_RC(RTBigNumInit(&g_Minus1, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_SIGNED,
1648	g_abMinus1, sizeof(g_abMinus1)), VINF_SUCCESS);
1649
1650	RTTESTI_CHECK_RC(RTBigNumInit(&g_PubKeyExp, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_UNSIGNED,
1651	g_abPubKeyExp, sizeof(g_abPubKeyExp)), VINF_SUCCESS);
1652	RTTESTI_CHECK_RC(RTBigNumInit(&g_PubKeyMod, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_UNSIGNED,
1653	g_abPubKeyMod, sizeof(g_abPubKeyMod)), VINF_SUCCESS);
1654	RTTESTI_CHECK_RC(RTBigNumInit(&g_Signature, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_UNSIGNED,
1655	g_abSignature, sizeof(g_abSignature)), VINF_SUCCESS);
1656	RTTESTI_CHECK_RC(RTBigNumInit(&g_SignatureDecrypted, RTBIGNUMINIT_F_ENDIAN_BIG \| RTBIGNUMINIT_F_UNSIGNED,
1657	g_abSignatureDecrypted, sizeof(g_abSignatureDecrypted)), VINF_SUCCESS);
1658	testMoreInit();
1659
1660	if (RTTestIErrorCount() == 0)
1661	{
1662	if (argc != 2)
1663	{
1664	/* Test UInt128 first as it may be used by RTBigInt. */
1665	testUInt128Multiplication();
1666	testUInt128Division();
1667	testUInt128Subtraction();
1668	testUInt128Addition();
1669
1670	/* Test the RTBigInt operations. */
1671	testCompare();
1672	testSubtraction();
1673	testAddition();
1674	testShift();
1675	testMultiplication();
1676	testDivision();
1677	testModulo();
1678	testExponentiation();
1679	testModExp();
1680	testToBytes();
1681	}
1682
1683	/* Benchmarks */
1684	testBenchmarks(argc == 2);
1685
1686	/* Cleanups. */
1687	RTTestSub(g_hTest, "RTBigNumDestroy");
1688	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_LargePositive), VINF_SUCCESS);
1689	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_LargePositive2), VINF_SUCCESS);
1690	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_LargeNegative), VINF_SUCCESS);
1691	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_LargeNegative2), VINF_SUCCESS);
1692	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_Zero), VINF_SUCCESS);
1693	RTTESTI_CHECK_RC(RTBigNumDestroy(&g_64BitPositive1), VINF_SUCCESS);
1694	}
1695
1696	return RTTestSummaryAndDestroy(g_hTest);
1697	}
1698

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source: vbox/trunk/src/VBox/Runtime/testcase/tstRTBigNum.cpp@ 53401

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