git.distorted.org.uk Git - u/mdw/catacomb/blob - tests/mp

   1 # Test vectors for MP functions
   2 #
   3 # $Id: mp,v 1.5 2000/06/22 19:01:14 mdw Exp $
   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;
  22 }
  23
  24 odd {
  25   1 0 1;
  26   2 1 1;
  27   4 2 1;
  28   12 2 3;
  29   0x10000000000000 52 1;
  30   0x10000000400000 22 0x40000001;
  31 }
  32
  33 sqrt {
  34   0 0;
  35   1 1;
  36   4 2;
  37   9 3;
  38  16 4;
  39  99 9;
  40 100 10;
  41 101 10;
  42 120 10;
  43 121 11;
  44
  45 10106623487257186586 3179091613;
  46 14565040310136678240 3816417208;
  47 }
  48
  49 gcd {
  50
  51   # --- Simple tests ---
  52
  53   16 12 4 -2 3;
  54   12 16 4 -1 1;
  55   693 609 21 -181 206;
  56   4398082908043 90980984098081324 1 -32483863573352089 1570292150447;
  57
  58   # --- Negative argument tests ---
  59
  60   16 -12 4 -2 -3;
  61   -16 12 4 2 3;
  62   -12 -16 4 1 -1;
  63   -12 16 4 1 1;
  64   -693 609 21 181 206;
  65   693 -609 21 -181 -206;
  66
  67   # --- Zero argument tests ---
  68
  69   15 0 15 1 0;
  70   0 15 15 0 1;
  71   -5 0 5 -1 0;
  72   0 -5 5 0 -1;
  73   0 0 0 0 0;
  74
  75   # --- Random number tests ---
  76
  77   829561629303257626084392170900075 32498098450983560651904114638965
  78     5 -22841190347053190672253237276815 583054885752979049202923618992482;
  79
  80   5509672937670943767152343650729669537671508
  81   398326674296699796695672966992514673531
  82   17
  83   -191606556147997561067126486929677861359
  84   2650310725368604614586643627755316700713319;
  85
  86   324098408098290809832490802984098208098324
  87   23430980840982340982098409823089098443
  88   1
  89   -4158709420138833210339208344965073815
  90   57523460582278135926717203882531035926727;
  91
  92   # --- RSA test ---
  93   #
  94   # The first number is (p - 1)(q - 1) from `mpmont'.  The second is a
  95   # random number (it's actually prime, but that doesn't matter) which I
  96   # can use as an RSA encryption exponent.  The last is the partner
  97   # decryption exponent, produced using the extended GCD algorithm.
  98
  99   665251164384574309450646977867043764321191240895546832784045453360
 100   5945908509680983480596809586040589085680968709809890671
 101   1
 102   -4601007896041464028712478963832994007038251361995647370
 103   514778499400157641662814932021958856708417966520837469125919104431;
 104
 105   # --- Misery ---
 106   #
 107   # Some bugs discovered during RSA testing.
 108
 109   100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181
 110   44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986
 111   1
 112   -44146175664861261172356293340716833133750232401287328189797639296698679436925232375473973898100363205157703913050824405116878299310008848005045714833814493992539429428295945643439440068026313232881493081836812480325977761600303456915493177366981470223898994906470419007730670657168179659899713837827764669213
 113   98330790743257232930640417364963717704786040860302439189781385170246412183980882564239377268174203679366339563908361674571088519452885615348465535190260914996055274486493192655677181637142116473172979503236297658204730543049175626205461452256333155750566288282331419748434569978343545573401114593095927172889;
 114
 115   44895767034162990997987303986882660674722497505237491649296190658571471979065889234144353811843706629535512848235473808330181517421970135930320187227697512315919757806204341545022714991717913006031724818461724742069401359454784533576615919680949125073761586043027941204059690093447093117249681641020785611986
 116   100000423751500546004561515884626739136961367515520675987004088469753859696407139054406989735113827981148062449057870561788973142250811838720214530386151198455545176591384352343648452329042764530196327665219224050630680827543991306749402959935685172017409062967157813233001567797128414009962262840951763040181
 117   1
 118   -1669633008243313073921098519663021432175326655218236797222703299507447512426256490167612466939624301781722885149508887217884622797926223371748995195890283459489902104891159687971270691900648057023348161982926392425950284494815680543941507679352016266842774684826393484566997818784868436561148247855835867292
 119   749591369301729825631010646165827540972265103950163459498551361872792542140656858670379913743343424377808935184649403213303218111961287925274472393883018323380328377908395901583274923691599773150231736624912261743423597854481076661122742313967654849862591136557522196329019436278913457349967803193020942773;
 120
 121   # --- Some other bugs ---
 122
 123   19504439280113284806725522136967618725661733412699408177537810327183285842670
 124   1
 125   1
 126   0
 127   1;
 128 }
 129
 130 jacobi {
 131   4 5 1;
 132   6 7 -1;
 133   15 27 0;
 134   2132498039840981 98729378979237498798347932749951 1;
 135 }
 136
 137 modsqrt {
 138   4 5 3;
 139   9775592058107450692 13391974640168007623 3264570455655810730;
 140   8155671698868891620 10189552848261357803 2073812183305821596;
 141   3248339460720824413 8976233780911635437 1220523478429582717;
 142   3447751741648956439 10155704720805654949 2812971608818169892;
 143   1453601744816463433 3095659104519735473 1260511572497628526;
 144   3366261317119810224 3756232416311497601 610261287187759737;
 145   3869491397135339653 5762828162167967567 2974328005712882420;
 146   660864223630638896 1729533840094059799 1058197842375219723;
 147 }