d3409d5e |
1 | # Test vectors for MP functions |
2 | # |
21bebf11 |
3 | # $Id: mp,v 1.17 2004/04/01 12:50:41 mdw Exp $ |
d3409d5e |
4 | |
5 | add { |
6 | 5 4 9; 5 -4 1; -5 4 -1; -5 -4 -9; |
7 | 0xffffffff 1 0x100000000; |
8 | } |
9 | |
10 | sub { |
11 | 5 4 1; 5 -4 9; -5 4 -9; -5 -4 -1; |
12 | 4 5 -1; 4 -5 9; -4 5 -9; -4 -5 1; |
13 | } |
14 | |
15 | mul { |
16 | 5 4 20; -5 4 -20; 5 -4 -20; -5 -4 20; |
17 | 0x10000 0x10000 0x100000000; |
18 | } |
19 | |
20 | div { |
21 | 9 4 2 1; -9 4 -3 3; 9 -4 -3 -3; -9 -4 2 -1; |
a9c8f3d6 |
22 | -3 6277101735386680763835789423207666416083908700390324961279 |
23 | -1 6277101735386680763835789423207666416083908700390324961276; |
24 | 3131675836296406071791252329528905062261497366991742517193 |
25 | 1110875761630725856340142297645383444629395595869672555585 |
26 | 2 909924313034954359110967734238138173002706175252397406023; |
27 | 3131675836296406071791252329528905062261497366991742517193 |
28 | 53 |
29 | 59088223326347284373419855274130284193613157867768726739 26; |
21bebf11 |
30 | 1552518092300708935130918131258481755631334049434514313202351194902966239949102107258669453876591642442910007680288864229150803718918046342632727613031282983744380820890196288509170691316593175367469551763119843371637221007210577919 |
31 | 776259046150354467565459065629240877815667024717257156601175597451483119974551053629334726938295821221455003840144432114575401859459023171316363806515641491872190410445098144254585345658296587683734775881559921685818610503605288959 |
32 | 2 1; |
d3409d5e |
33 | } |
34 | |
f09e814a |
35 | bin2c { |
36 | and 5 3 1; |
37 | or 5 3 7; |
38 | xor 5 3 6; |
39 | 1111 0 0 -1; |
75263f25 |
40 | or 45 -7 -3; |
f09e814a |
41 | xor 0x343cd5 -0x6a49c -0x32984f; |
42 | } |
43 | |
44 | lsr2c { |
45 | -1 5 -1; |
46 | 1 5 0; |
47 | -6 2 -2; |
81578196 |
48 | 5 0 5; |
49 | -4 0 -4; |
4f29a732 |
50 | 7 2 1; |
51 | -7 2 -2; |
81578196 |
52 | -7 20 -1; |
53 | } |
54 | |
55 | lsl2c { |
56 | -1 5 -32; |
57 | 5 0 5; |
58 | -4 0 -4; |
59 | 7 2 28; |
60 | -7 2 -28; |
61 | 0xc0000000 1 0x180000000; |
62 | -0xc0000000 1 -0x180000000; |
63 | -1 32 -0x100000000; |
f09e814a |
64 | } |
65 | |
09d00c6b |
66 | setbit { |
67 | 0 40 0x10000000000; |
68 | 0x87348 40 0x10000087348; |
69 | 5 1 7; |
70 | 7 1 7; |
71 | -3 1 -1; |
72 | } |
73 | |
74 | clrbit { |
75 | 0x10000000000 40 0; |
76 | 0x87348 40 0x87348; |
77 | 5 1 5; |
78 | 7 1 5; |
79 | -1 1 -3; |
80 | } |
81 | |
397041a9 |
82 | neg { |
83 | 0 0; |
84 | 15 -15; |
85 | -15 15; |
86 | } |
87 | |
f933bbd6 |
88 | odd { |
89 | 1 0 1; |
90 | 2 1 1; |
91 | 4 2 1; |
92 | 12 2 3; |
93 | 0x10000000000000 52 1; |
94 | 0x10000000400000 22 0x40000001; |
95 | } |
96 | |
97 | sqrt { |
98 | 0 0; |
99 | 1 1; |
100 | 4 2; |
101 | 9 3; |
102 | 16 4; |
103 | 99 9; |
104 | 100 10; |
105 | 101 10; |
106 | 120 10; |
107 | 121 11; |
108 | |
109 | 10106623487257186586 3179091613; |
110 | 14565040310136678240 3816417208; |
111 | } |
112 | |
d3409d5e |
113 | gcd { |
342c3212 |
114 | # --- Simple tests --- |
115 | |
a7a5896a |
116 | 16 12 4 -11 15; |
d3409d5e |
117 | 12 16 4 -1 1; |
a7a5896a |
118 | 693 609 21 -7 8; |
d3409d5e |
119 | 4398082908043 90980984098081324 1 -32483863573352089 1570292150447; |
120 | |
342c3212 |
121 | # --- Negative argument tests --- |
122 | |
a7a5896a |
123 | 16 -12 4 -11 -15; |
124 | -16 12 4 11 15; |
342c3212 |
125 | -12 -16 4 1 -1; |
126 | -12 16 4 1 1; |
a7a5896a |
127 | -693 609 21 7 8; |
128 | 693 -609 21 -7 -8; |
342c3212 |
129 | |
130 | # --- Zero argument tests --- |
131 | |
132 | 15 0 15 1 0; |
133 | 0 15 15 0 1; |
134 | -5 0 5 -1 0; |
135 | 0 -5 5 0 -1; |
136 | 0 0 0 0 0; |
137 | |
138 | # --- Random number tests --- |
139 | |
d3409d5e |
140 | 829561629303257626084392170900075 32498098450983560651904114638965 |
a7a5896a |
141 | 5 -29340810037249902802634060204608 748967211613630574419802053172497; |
d3409d5e |
142 | |
143 | 5509672937670943767152343650729669537671508 |
144 | 398326674296699796695672966992514673531 |
145 | 17 |
a7a5896a |
146 | -4158709420138833210339208344965073815 |
147 | 57523460582278135926717203882531035926727; |
d3409d5e |
148 | |
149 | 324098408098290809832490802984098208098324 |
150 | 23430980840982340982098409823089098443 |
151 | 1 |
152 | -4158709420138833210339208344965073815 |
153 | 57523460582278135926717203882531035926727; |
154 | |
155 | # --- RSA test --- |
156 | # |
157 | # The first number is (p - 1)(q - 1) from `mpmont'. The second is a |
158 | # random number (it's actually prime, but that doesn't matter) which I |
159 | # can use as an RSA encryption exponent. The last is the partner |
160 | # decryption exponent, produced using the extended GCD algorithm. |
161 | |
162 | 665251164384574309450646977867043764321191240895546832784045453360 |
163 | 5945908509680983480596809586040589085680968709809890671 |
164 | 1 |
165 | -4601007896041464028712478963832994007038251361995647370 |
166 | 514778499400157641662814932021958856708417966520837469125919104431; |
83c017f3 |
167 | |
168 | # --- Misery --- |
169 | # |
170 | # Some bugs discovered during RSA testing. |
171 | |
172 | 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 |
173 | 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 |
174 | 1 |
175 | -44146175664861261172356293340716833133750232401287328189797639296698679436925232375473973898100363205157703913050824405116878299310008848005045714833814493992539429428295945643439440068026313232881493081836812480325977761600303456915493177366981470223898994906470419007730670657168179659899713837827764669213 |
176 | 98330790743257232930640417364963717704786040860302439189781385170246412183980882564239377268174203679366339563908361674571088519452885615348465535190260914996055274486493192655677181637142116473172979503236297658204730543049175626205461452256333155750566288282331419748434569978343545573401114593095927172889; |
177 | |
178 | 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 |
179 | 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 |
180 | 1 |
181 | -1669633008243313073921098519663021432175326655218236797222703299507447512426256490167612466939624301781722885149508887217884622797926223371748995195890283459489902104891159687971270691900648057023348161982926392425950284494815680543941507679352016266842774684826393484566997818784868436561148247855835867292 |
182 | 749591369301729825631010646165827540972265103950163459498551361872792542140656858670379913743343424377808935184649403213303218111961287925274472393883018323380328377908395901583274923691599773150231736624912261743423597854481076661122742313967654849862591136557522196329019436278913457349967803193020942773; |
183 | |
184 | # --- Some other bugs --- |
185 | |
186 | 19504439280113284806725522136967618725661733412699408177537810327183285842670 |
187 | 1 |
188 | 1 |
189 | 0 |
190 | 1; |
d3409d5e |
191 | } |
5b00a0ea |
192 | |
193 | jacobi { |
194 | 4 5 1; |
195 | 6 7 -1; |
196 | 15 27 0; |
197 | 2132498039840981 98729378979237498798347932749951 1; |
198 | } |
f933bbd6 |
199 | |
200 | modsqrt { |
8826e40c |
201 | 1 3 1; |
f933bbd6 |
202 | 4 5 3; |
203 | 9775592058107450692 13391974640168007623 3264570455655810730; |
204 | 8155671698868891620 10189552848261357803 2073812183305821596; |
205 | 3248339460720824413 8976233780911635437 1220523478429582717; |
206 | 3447751741648956439 10155704720805654949 2812971608818169892; |
207 | 1453601744816463433 3095659104519735473 1260511572497628526; |
208 | 3366261317119810224 3756232416311497601 610261287187759737; |
209 | 3869491397135339653 5762828162167967567 2974328005712882420; |
210 | 660864223630638896 1729533840094059799 1058197842375219723; |
211 | } |
1523e344 |
212 | |
213 | factorial { |
214 | 0 1; |
215 | 1 1; |
216 | 2 2; |
217 | 3 6; |
218 | 4 24; |
219 | 5 120; |
220 | 30 265252859812191058636308480000000; |
221 | 100 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000; |
222 | 500 |
223 | 1220136825991110068701238785423046926253574342803192842192413588385845373153881997605496447502203281863013616477148203584163378722078177200480785205159329285477907571939330603772960859086270429174547882424912726344305670173270769461062802310452644218878789465754777149863494367781037644274033827365397471386477878495438489595537537990423241061271326984327745715546309977202781014561081188373709531016356324432987029563896628911658974769572087926928871281780070265174507768410719624390394322536422605234945850129918571501248706961568141625359056693423813008856249246891564126775654481886506593847951775360894005745238940335798476363944905313062323749066445048824665075946735862074637925184200459369692981022263971952597190945217823331756934581508552332820762820023402626907898342451712006207714640979456116127629145951237229913340169552363850942885592018727433795173014586357570828355780158735432768888680120399882384702151467605445407663535984174430480128938313896881639487469658817504506926365338175055478128640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000; |
224 | } |