X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/ba6e6b64033b1f9de49feccb5c9cd438354481f7..0f00dc4c8eb47e67bc0f148c2dd109f73a451e0a:/tests/mp diff --git a/tests/mp b/tests/mp deleted file mode 100644 index 0fbaf06..0000000 --- a/tests/mp +++ /dev/null @@ -1,328 +0,0 @@ -# Test vectors for MP functions -# -# $Id$ - -add { - 5 4 9; 5 -4 1; -5 4 -1; -5 -4 -9; - 0xffffffff 1 0x100000000; -} - -sub { - 5 4 1; 5 -4 9; -5 4 -9; -5 -4 -1; - 4 5 -1; 4 -5 9; -4 5 -9; -4 -5 1; -} - -mul { - 5 4 20; -5 4 -20; 5 -4 -20; -5 -4 20; - 0x10000 0x10000 0x100000000; -} - -div { - 9 4 2 1; -9 4 -3 3; 9 -4 -3 -3; -9 -4 2 -1; - -3 6277101735386680763835789423207666416083908700390324961279 - -1 6277101735386680763835789423207666416083908700390324961276; - 3131675836296406071791252329528905062261497366991742517193 - 1110875761630725856340142297645383444629395595869672555585 - 2 909924313034954359110967734238138173002706175252397406023; - 3131675836296406071791252329528905062261497366991742517193 - 53 - 59088223326347284373419855274130284193613157867768726739 26; - 1552518092300708935130918131258481755631334049434514313202351194902966239949102107258669453876591642442910007680288864229150803718918046342632727613031282983744380820890196288509170691316593175367469551763119843371637221007210577919 - 776259046150354467565459065629240877815667024717257156601175597451483119974551053629334726938295821221455003840144432114575401859459023171316363806515641491872190410445098144254585345658296587683734775881559921685818610503605288959 - 2 1; -} - -exp { - 4 0 1; - 4 1 4; - 7 2 49; - 3 564 124849745640593184256214502788000232711984346194239284918599169775251467106591187580476305077269760425019686159071753053924227569816588462643229463821875763427430576080998505780547826368760514503807579784278708008217584939464444237989070811887584423210788916656247499281; -} - -bin2c { - and 5 3 1; - or 5 3 7; - xor 5 3 6; - 1111 0 0 -1; - or 45 -7 -3; - xor 0x343cd5 -0x6a49c -0x32984f; -} - -lsr2c { - -1 5 -1; - 1 5 0; - -6 2 -2; - 5 0 5; - -4 0 -4; - 7 2 1; - -7 2 -2; - -7 20 -1; -} - -lsl2c { - -1 5 -32; - 5 0 5; - -4 0 -4; - 7 2 28; - -7 2 -28; - 0xc0000000 1 0x180000000; - -0xc0000000 1 -0x180000000; - -1 32 -0x100000000; -} - -setbit { - 0 40 0x10000000000; - 0x87348 40 0x10000087348; - 5 1 7; - 7 1 7; - -3 1 -1; -} - -clrbit { - 0x10000000000 40 0; - 0x87348 40 0x87348; - 5 1 5; - 7 1 5; - -1 1 -3; -} - -neg { - 0 0; - 15 -15; - -15 15; -} - -odd { - 1 0 1; - 2 1 1; - 4 2 1; - 12 2 3; - 0x10000000000000 52 1; - 0x10000000400000 22 0x40000001; -} - -sqrt { - 0 0; - 1 1; - 4 2; - 9 3; - 16 4; - 99 9; -100 10; -101 10; -120 10; -121 11; - -10106623487257186586 3179091613; -14565040310136678240 3816417208; -} - -gcd { - # --- Simple tests --- - - 16 12 4 -11 15; - 12 16 4 -1 1; - 693 609 21 -7 8; - 4398082908043 90980984098081324 1 -32483863573352089 1570292150447; - - # --- Negative argument tests --- - - 16 -12 4 -11 -15; - -16 12 4 11 15; - -12 -16 4 1 -1; - -12 16 4 1 1; - -693 609 21 7 8; - 693 -609 21 -7 -8; - - # --- Zero argument tests --- - - 15 0 15 1 0; - 0 15 15 0 1; - -5 0 5 -1 0; - 0 -5 5 0 -1; - 0 0 0 0 0; - - # --- Random number tests --- - - 829561629303257626084392170900075 32498098450983560651904114638965 - 5 -29340810037249902802634060204608 748967211613630574419802053172497; - - 5509672937670943767152343650729669537671508 - 398326674296699796695672966992514673531 - 17 - -4158709420138833210339208344965073815 - 57523460582278135926717203882531035926727; - - 324098408098290809832490802984098208098324 - 23430980840982340982098409823089098443 - 1 - -4158709420138833210339208344965073815 - 57523460582278135926717203882531035926727; - - # --- RSA test --- - # - # The first number is (p - 1)(q - 1) from `mpmont'. The second is a - # random number (it's actually prime, but that doesn't matter) which I - # can use as an RSA encryption exponent. The last is the partner - # decryption exponent, produced using the extended GCD algorithm. - - 665251164384574309450646977867043764321191240895546832784045453360 - 5945908509680983480596809586040589085680968709809890671 - 1 - -4601007896041464028712478963832994007038251361995647370 - 514778499400157641662814932021958856708417966520837469125919104431; - - # --- Misery --- - # - # Some bugs discovered during RSA testing. - - 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 - 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 - 1 - -44146175664861261172356293340716833133750232401287328189797639296698679436925232375473973898100363205157703913050824405116878299310008848005045714833814493992539429428295945643439440068026313232881493081836812480325977761600303456915493177366981470223898994906470419007730670657168179659899713837827764669213 - 98330790743257232930640417364963717704786040860302439189781385170246412183980882564239377268174203679366339563908361674571088519452885615348465535190260914996055274486493192655677181637142116473172979503236297658204730543049175626205461452256333155750566288282331419748434569978343545573401114593095927172889; - - 44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986 - 100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181 - 1 - -1669633008243313073921098519663021432175326655218236797222703299507447512426256490167612466939624301781722885149508887217884622797926223371748995195890283459489902104891159687971270691900648057023348161982926392425950284494815680543941507679352016266842774684826393484566997818784868436561148247855835867292 - 749591369301729825631010646165827540972265103950163459498551361872792542140656858670379913743343424377808935184649403213303218111961287925274472393883018323380328377908395901583274923691599773150231736624912261743423597854481076661122742313967654849862591136557522196329019436278913457349967803193020942773; - - # --- Some other bugs --- - - 19504439280113284806725522136967618725661733412699408177537810327183285842670 - 1 - 1 - 0 - 1; -} - -modinv { - 5 9 2; - 15 64 47; - 564566436 546457643 408896426; -} - -jacobi { - 4 5 1; - 6 7 -1; - 15 27 0; - 2132498039840981 98729378979237498798347932749951 1; - 98729378979237498798347932749951 2132498039840981 1; - - # --- Kronecker extension --- - - 0 0 0; - 1 0 1; - -1 0 -1; - 2 0 0; - - 2132498039840981 197458757958474997596695865499902 -1; - 98729378979237498798347932749951 4264996079681962 1; - 98729378979237498798347932749951 -4264996079681962 1; - -98729378979237498798347932749951 -4264996079681962 -1; - - # --- Random tests made by PARI/gp --- - - 22 -19 -1; - 48 -37 1; - -13 29 1; - -19 2 -1; - -43 31 1; - -12 -7 -1; - -14 -34 0; - -30 -29 -1; - 25 26 1; - -27 20 -1; - -5 -45 0; - 9 -42 0; - -51 -3 0; - -39 35 -1; - 37 30 1; - 13 18 -1; - -28 6 0; - -49 -15 1; - -1 1 1; - -9 13 1; - -47 44 -1; - -14 -30 0; - 37 -36 1; - 45 9 0; - -29 30 -1; - 49 49 0; - -27 -10 -1; - -35 -25 0; - 17 14 -1; - -35 29 1; - -1 33 1; - 38 -11 1; - 3 -24 0; - 5 -25 0; - -31 22 -1; - 40 30 0; - -43 26 -1; - -22 10 0; - 11 -29 -1; - 40 -18 0; -} - -modsqrt { - 1 3 1; - 4 5 2; - 9775592058107450692 13391974640168007623 3264570455655810730; - 8155671698868891620 10189552848261357803 2073812183305821596; - 3248339460720824413 8976233780911635437 1220523478429582717; - 3447751741648956439 10155704720805654949 2812971608818169892; - 1453601744816463433 3095659104519735473 1260511572497628526; - 3366261317119810224 3756232416311497601 610261287187759737; - 3869491397135339653 5762828162167967567 2788500156455085147; - 660864223630638896 1729533840094059799 671335997718840076; -} - -modexp { - - # --- Montgomery exponentiation --- - - 435365332435654643667 8745435676786567758678547 - 4325987397987458979875737589783 - 2439674515119108242643169132064; - 0xfffffffdfffffffffffffffffffffffe 0 0xfffffffdffffffffffffffffffffffff 1; - 1804289383 -8939035539979879765 8939489893434234331 6139425926295484741; - - # --- Barrett exponentiation --- - - 435365332435654643667 8745435676786567758678547 - 4325987397987458979875737589782 - 2425191520487853884024972777945; -} - -factorial { - 0 1; - 1 1; - 2 2; - 3 6; - 4 24; - 5 120; - 30 265252859812191058636308480000000; - 100 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000; - 500 - 1220136825991110068701238785423046926253574342803192842192413588385845373153881997605496447502203281863013616477148203584163378722078177200480785205159329285477907571939330603772960859086270429174547882424912726344305670173270769461062802310452644218878789465754777149863494367781037644274033827365397471386477878495438489595537537990423241061271326984327745715546309977202781014561081188373709531016356324432987029563896628911658974769572087926928871281780070265174507768410719624390394322536422605234945850129918571501248706961568141625359056693423813008856249246891564126775654481886506593847951775360894005745238940335798476363944905313062323749066445048824665075946735862074637925184200459369692981022263971952597190945217823331756934581508552332820762820023402626907898342451712006207714640979456116127629145951237229913340169552363850942885592018727433795173014586357570828355780158735432768888680120399882384702151467605445407663535984174430480128938313896881639487469658817504506926365338175055478128640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000; -} - -fibonacci { - -20 -6765; - -19 4181; - -10 -55; - -9 34; - -2 -1; - -1 1; - 0 0; - 1 1; - 2 1; - 5 5; - 10 55; - 19 4181; - 20 6765; - 100 354224848179261915075; - 1000 43466557686937456435688527675040625802564660517371780402481729089536555417949051890403879840079255169295922593080322634775209689623239873322471161642996440906533187938298969649928516003704476137795166849228875; -}