Commit | Line | Data |
---|---|---|
d3409d5e | 1 | # Test vectors for MP functions |
2 | # | |
f4535c64 | 3 | # $Id$ |
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 | ||
f4535c64 | 35 | exp { |
36 | 4 0 1; | |
37 | 4 1 4; | |
38 | 7 2 49; | |
39 | 3 564 124849745640593184256214502788000232711984346194239284918599169775251467106591187580476305077269760425019686159071753053924227569816588462643229463821875763427430576080998505780547826368760514503807579784278708008217584939464444237989070811887584423210788916656247499281; | |
40 | } | |
41 | ||
f09e814a | 42 | bin2c { |
43 | and 5 3 1; | |
44 | or 5 3 7; | |
45 | xor 5 3 6; | |
46 | 1111 0 0 -1; | |
75263f25 | 47 | or 45 -7 -3; |
f09e814a | 48 | xor 0x343cd5 -0x6a49c -0x32984f; |
49 | } | |
50 | ||
51 | lsr2c { | |
52 | -1 5 -1; | |
53 | 1 5 0; | |
54 | -6 2 -2; | |
81578196 | 55 | 5 0 5; |
56 | -4 0 -4; | |
4f29a732 | 57 | 7 2 1; |
58 | -7 2 -2; | |
81578196 | 59 | -7 20 -1; |
60 | } | |
61 | ||
62 | lsl2c { | |
63 | -1 5 -32; | |
64 | 5 0 5; | |
65 | -4 0 -4; | |
66 | 7 2 28; | |
67 | -7 2 -28; | |
68 | 0xc0000000 1 0x180000000; | |
69 | -0xc0000000 1 -0x180000000; | |
70 | -1 32 -0x100000000; | |
f09e814a | 71 | } |
72 | ||
09d00c6b | 73 | setbit { |
74 | 0 40 0x10000000000; | |
75 | 0x87348 40 0x10000087348; | |
76 | 5 1 7; | |
77 | 7 1 7; | |
78 | -3 1 -1; | |
79 | } | |
80 | ||
81 | clrbit { | |
82 | 0x10000000000 40 0; | |
83 | 0x87348 40 0x87348; | |
84 | 5 1 5; | |
85 | 7 1 5; | |
86 | -1 1 -3; | |
87 | } | |
88 | ||
397041a9 | 89 | neg { |
90 | 0 0; | |
91 | 15 -15; | |
92 | -15 15; | |
93 | } | |
94 | ||
f933bbd6 | 95 | odd { |
96 | 1 0 1; | |
97 | 2 1 1; | |
98 | 4 2 1; | |
99 | 12 2 3; | |
100 | 0x10000000000000 52 1; | |
101 | 0x10000000400000 22 0x40000001; | |
102 | } | |
103 | ||
104 | sqrt { | |
105 | 0 0; | |
106 | 1 1; | |
107 | 4 2; | |
108 | 9 3; | |
109 | 16 4; | |
110 | 99 9; | |
111 | 100 10; | |
112 | 101 10; | |
113 | 120 10; | |
114 | 121 11; | |
115 | ||
116 | 10106623487257186586 3179091613; | |
117 | 14565040310136678240 3816417208; | |
118 | } | |
119 | ||
d3409d5e | 120 | gcd { |
342c3212 | 121 | # --- Simple tests --- |
122 | ||
a7a5896a | 123 | 16 12 4 -11 15; |
d3409d5e | 124 | 12 16 4 -1 1; |
a7a5896a | 125 | 693 609 21 -7 8; |
d3409d5e | 126 | 4398082908043 90980984098081324 1 -32483863573352089 1570292150447; |
127 | ||
342c3212 | 128 | # --- Negative argument tests --- |
129 | ||
a7a5896a | 130 | 16 -12 4 -11 -15; |
131 | -16 12 4 11 15; | |
342c3212 | 132 | -12 -16 4 1 -1; |
133 | -12 16 4 1 1; | |
a7a5896a | 134 | -693 609 21 7 8; |
135 | 693 -609 21 -7 -8; | |
342c3212 | 136 | |
137 | # --- Zero argument tests --- | |
138 | ||
139 | 15 0 15 1 0; | |
140 | 0 15 15 0 1; | |
141 | -5 0 5 -1 0; | |
142 | 0 -5 5 0 -1; | |
143 | 0 0 0 0 0; | |
144 | ||
145 | # --- Random number tests --- | |
146 | ||
d3409d5e | 147 | 829561629303257626084392170900075 32498098450983560651904114638965 |
a7a5896a | 148 | 5 -29340810037249902802634060204608 748967211613630574419802053172497; |
d3409d5e | 149 | |
150 | 5509672937670943767152343650729669537671508 | |
151 | 398326674296699796695672966992514673531 | |
152 | 17 | |
a7a5896a | 153 | -4158709420138833210339208344965073815 |
154 | 57523460582278135926717203882531035926727; | |
d3409d5e | 155 | |
156 | 324098408098290809832490802984098208098324 | |
157 | 23430980840982340982098409823089098443 | |
158 | 1 | |
159 | -4158709420138833210339208344965073815 | |
160 | 57523460582278135926717203882531035926727; | |
161 | ||
162 | # --- RSA test --- | |
163 | # | |
164 | # The first number is (p - 1)(q - 1) from `mpmont'. The second is a | |
165 | # random number (it's actually prime, but that doesn't matter) which I | |
166 | # can use as an RSA encryption exponent. The last is the partner | |
167 | # decryption exponent, produced using the extended GCD algorithm. | |
168 | ||
169 | 665251164384574309450646977867043764321191240895546832784045453360 | |
170 | 5945908509680983480596809586040589085680968709809890671 | |
171 | 1 | |
172 | -4601007896041464028712478963832994007038251361995647370 | |
173 | 514778499400157641662814932021958856708417966520837469125919104431; | |
83c017f3 | 174 | |
175 | # --- Misery --- | |
176 | # | |
177 | # Some bugs discovered during RSA testing. | |
178 | ||
179 | 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 | |
180 | 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 | |
181 | 1 | |
182 | -44146175664861261172356293340716833133750232401287328189797639296698679436925232375473973898100363205157703913050824405116878299310008848005045714833814493992539429428295945643439440068026313232881493081836812480325977761600303456915493177366981470223898994906470419007730670657168179659899713837827764669213 | |
183 | 98330790743257232930640417364963717704786040860302439189781385170246412183980882564239377268174203679366339563908361674571088519452885615348465535190260914996055274486493192655677181637142116473172979503236297658204730543049175626205461452256333155750566288282331419748434569978343545573401114593095927172889; | |
184 | ||
185 | 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 | |
186 | 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 | |
187 | 1 | |
188 | -1669633008243313073921098519663021432175326655218236797222703299507447512426256490167612466939624301781722885149508887217884622797926223371748995195890283459489902104891159687971270691900648057023348161982926392425950284494815680543941507679352016266842774684826393484566997818784868436561148247855835867292 | |
189 | 749591369301729825631010646165827540972265103950163459498551361872792542140656858670379913743343424377808935184649403213303218111961287925274472393883018323380328377908395901583274923691599773150231736624912261743423597854481076661122742313967654849862591136557522196329019436278913457349967803193020942773; | |
190 | ||
191 | # --- Some other bugs --- | |
192 | ||
193 | 19504439280113284806725522136967618725661733412699408177537810327183285842670 | |
194 | 1 | |
195 | 1 | |
196 | 0 | |
197 | 1; | |
7c404803 MW |
198 | } |
199 | ||
200 | modinv { | |
201 | 5 9 2; | |
202 | 15 64 47; | |
203 | 564566436 546457643 408896426; | |
d3409d5e | 204 | } |
5b00a0ea | 205 | |
206 | jacobi { | |
207 | 4 5 1; | |
208 | 6 7 -1; | |
209 | 15 27 0; | |
210 | 2132498039840981 98729378979237498798347932749951 1; | |
6791ed17 MW |
211 | 98729378979237498798347932749951 2132498039840981 1; |
212 | ||
213 | # --- Kronecker extension --- | |
214 | ||
215 | 0 0 0; | |
216 | 1 0 1; | |
217 | -1 0 -1; | |
218 | 2 0 0; | |
219 | ||
220 | 2132498039840981 197458757958474997596695865499902 -1; | |
221 | 98729378979237498798347932749951 4264996079681962 1; | |
222 | 98729378979237498798347932749951 -4264996079681962 1; | |
223 | -98729378979237498798347932749951 -4264996079681962 -1; | |
224 | ||
225 | # --- Random tests made by PARI/gp --- | |
226 | ||
227 | 22 -19 -1; | |
228 | 48 -37 1; | |
229 | -13 29 1; | |
230 | -19 2 -1; | |
231 | -43 31 1; | |
232 | -12 -7 -1; | |
233 | -14 -34 0; | |
234 | -30 -29 -1; | |
235 | 25 26 1; | |
236 | -27 20 -1; | |
237 | -5 -45 0; | |
238 | 9 -42 0; | |
239 | -51 -3 0; | |
240 | -39 35 -1; | |
241 | 37 30 1; | |
242 | 13 18 -1; | |
243 | -28 6 0; | |
244 | -49 -15 1; | |
245 | -1 1 1; | |
246 | -9 13 1; | |
247 | -47 44 -1; | |
248 | -14 -30 0; | |
249 | 37 -36 1; | |
250 | 45 9 0; | |
251 | -29 30 -1; | |
252 | 49 49 0; | |
253 | -27 -10 -1; | |
254 | -35 -25 0; | |
255 | 17 14 -1; | |
256 | -35 29 1; | |
257 | -1 33 1; | |
258 | 38 -11 1; | |
259 | 3 -24 0; | |
260 | 5 -25 0; | |
261 | -31 22 -1; | |
262 | 40 30 0; | |
263 | -43 26 -1; | |
264 | -22 10 0; | |
265 | 11 -29 -1; | |
266 | 40 -18 0; | |
5b00a0ea | 267 | } |
f933bbd6 | 268 | |
269 | modsqrt { | |
8826e40c | 270 | 1 3 1; |
222c8a43 | 271 | 4 5 2; |
f933bbd6 | 272 | 9775592058107450692 13391974640168007623 3264570455655810730; |
273 | 8155671698868891620 10189552848261357803 2073812183305821596; | |
274 | 3248339460720824413 8976233780911635437 1220523478429582717; | |
275 | 3447751741648956439 10155704720805654949 2812971608818169892; | |
276 | 1453601744816463433 3095659104519735473 1260511572497628526; | |
277 | 3366261317119810224 3756232416311497601 610261287187759737; | |
222c8a43 MW |
278 | 3869491397135339653 5762828162167967567 2788500156455085147; |
279 | 660864223630638896 1729533840094059799 671335997718840076; | |
f933bbd6 | 280 | } |
1523e344 | 281 | |
ffec4880 MW |
282 | modexp { |
283 | ||
284 | # --- Montgomery exponentiation --- | |
285 | ||
45c0fd36 | 286 | 435365332435654643667 8745435676786567758678547 |
ffec4880 MW |
287 | 4325987397987458979875737589783 |
288 | 2439674515119108242643169132064; | |
289 | 0xfffffffdfffffffffffffffffffffffe 0 0xfffffffdffffffffffffffffffffffff 1; | |
290 | 1804289383 -8939035539979879765 8939489893434234331 6139425926295484741; | |
291 | ||
292 | # --- Barrett exponentiation --- | |
293 | ||
294 | 435365332435654643667 8745435676786567758678547 | |
295 | 4325987397987458979875737589782 | |
296 | 2425191520487853884024972777945; | |
297 | } | |
298 | ||
1523e344 | 299 | factorial { |
300 | 0 1; | |
301 | 1 1; | |
302 | 2 2; | |
303 | 3 6; | |
304 | 4 24; | |
305 | 5 120; | |
306 | 30 265252859812191058636308480000000; | |
307 | 100 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000; | |
308 | 500 | |
309 | 1220136825991110068701238785423046926253574342803192842192413588385845373153881997605496447502203281863013616477148203584163378722078177200480785205159329285477907571939330603772960859086270429174547882424912726344305670173270769461062802310452644218878789465754777149863494367781037644274033827365397471386477878495438489595537537990423241061271326984327745715546309977202781014561081188373709531016356324432987029563896628911658974769572087926928871281780070265174507768410719624390394322536422605234945850129918571501248706961568141625359056693423813008856249246891564126775654481886506593847951775360894005745238940335798476363944905313062323749066445048824665075946735862074637925184200459369692981022263971952597190945217823331756934581508552332820762820023402626907898342451712006207714640979456116127629145951237229913340169552363850942885592018727433795173014586357570828355780158735432768888680120399882384702151467605445407663535984174430480128938313896881639487469658817504506926365338175055478128640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000; | |
310 | } |