?? gint.pas
字號:
{License, info, etc
------------------
This implementation is made by Walied Othman, to contact me
mail to Walied.Othman@Student.KULeuven.ac.be or
Triade@ace.Ulyssis.Student.KULeuven.ac.be, or ICQ me on 20388046.
If you 're going to use these implementations, at least mention my
name or something and notify me so I may even put a link on my page.
This implementation is freeware and according to the coderpunks'
manifesto it should remain so, so don 't use these implementations
in commercial applications. Encryption, as a tool to ensure privacy
should be free and accessible for anyone.
If any algorithm is patented in your country, you should acquire a
license before using this software. Modified versions of this
software must remain in the public domain and must contain an
acknowledgement of the original author (=me).
This implementaion is available at
http://ace.ulyssis.student.kuleuven.ac.be/~triade/GInt/index.htm
copyright 1999, Walied Othman
This header may not be removed.
Updates:
--------
9/1/99: Division algorithm speeded up, 3 times faster now
22/1/99: Procedure Added to compute the Legendre symbol
26/2/99: The Procedure GIntToBinStr optimized
28/2/99: signtype changed
19/3/99: TrialDiv range expanded
23/3/99: BinStrToGInt optimized, 4 times faster now
GIntMulByInt and GIntMulByIntBis procedures added
}
Unit GInt;
Interface
Uses Windows, SysUtils, Controls;
Type
TCompare = (Lt, St, Eq, Er);
Tsign = (negative, positive);
TGInt = ^cont;
cont = Record
sign : Tsign;
value : longint;
next, prev : TGInt;
End;
Procedure zeronetochar8(Var g : char; x : String);
Procedure zeronetochar6(Var g : integer; x : String);
Procedure initialize8(Var trans : Array Of String);
Procedure initialize6(Var trans : Array Of String);
Procedure Convert8to6bit(str8 : String; Var str6 : String);
Procedure Convert6to8bit(str6 : String; Var str8 : String);
Procedure Convert8to1bit(str8 : String; Var str1 : String);
Procedure Convert6to1bit(str6 : String; Var str1 : String);
Procedure Convert1to8bit(str1 : String; Var str8 : String);
Procedure Convert1to6bit(str1 : String; Var str6 : String);
Procedure decstrtogint(GIntstr : String; Var GInt : TGInt);
Procedure ginttodecstr(Var GIntstr : String; GInt : TGInt);
Procedure InttoGInt(Int : integer; Var GInt : TGInt);
Procedure gintdestroy(Var GInt : TGInt);
Procedure GIntcopy(GInt1 : TGInt; Var GInt2 : TGInt);
Procedure GIntdivbyint(GInt : TGInt; Var res : TGInt; by : longint; Var m : longint);
Procedure GIntmodbyint(GInt : TGInt; by : longint; Var m : longint);
Function GIntCompareAbs(GInt1, GInt2 : TGInt) : TCompare;
Procedure GIntchangesign(Var GInt : TGInt);
Procedure GIntabs(Var GInt : TGInt);
Procedure GIntadd(GInt1, GInt2 : TGInt; Var sum : TGInt);
Procedure GIntsub(GInt1, GInt2 : TGInt; Var dif : TGInt);
Procedure GIntmul(GInt1, GInt2 : TGInt; Var prod : TGInt);
Procedure GIntMulByInt(GInt1 : TGInt; By : Longint; Var prod : TGInt);
Procedure GIntMulByIntBis(Var GInt : TGInt; By : Longint);
Procedure GIntSquare(GInt : TGInt; Var Square : TGInt);
Procedure GInttobinstr(GInt : TGint; Var S : String);
Procedure Binstrtogint(S : String; Var GInt : TGInt);
Procedure GInttostr(GInt : TGInt; Var str : String);
Procedure strtoGInt(str : String; Var GInt : TGInt);
Procedure GIntExp(GInt, exp : TGInt; Var res : TGInt);
Procedure GIntfac(GInt : TGInt; Var res : TGint);
Procedure GIntdivmod(GInt1, GInt2 : TGInt; Var divres, modres : TGInt);
Procedure GIntdiv(GInt1, GInt2 : TGInt; Var divres : TGInt);
Procedure GIntmod(GInt1, GInt2 : TGInt; Var modres : TGInt);
Procedure GIntSquareMod(GInt, Modb : TGInt; Var GIntSM : TGInt);
Procedure GIntAddMod(GInt1, GInt2, base : TGInt; Var GIntres : TGInt);
Procedure GIntMulMod(GInt1, GInt2, base : TGInt; Var GIntres : TGInt);
Procedure GIntmodExp(GInt, exp, modb : TGInt; Var res : TGInt);
Procedure GIntGCD(GInt1, GInt2 : TGint; Var GCD : TGInt);
Procedure GIntLCM(GInt1, GInt2 : TGInt; Var LCM : TGInt);
Procedure GIntTrialdiv9999(GInt : TGInt; Var ok : boolean);
Procedure GIntRandom1(Seed : TGInt; Var RandomGInt : TGInt);
Procedure GIntRabinMiller(GIntp : TGInt; nrtest : integer; Var ok : boolean);
Procedure GIntBezoutBachet(GInt1, GInt2 : TGInt; Var a, b : TGInt);
Procedure GIntModInv(GInt1, base : TGInt; Var Inverse : TGInt);
Procedure GIntPrimetest(GIntp : TGInt; nrRMtests : integer; Var ok : boolean);
Procedure GIntLegendreSymbol(a, p : TGInt; Var L : integer);
Implementation
Var
primes : Array[1..1227] Of integer =
(3, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127,
131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251,
257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389,
397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541,
547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677,
683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839,
853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009,
1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123,
1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279,
1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429,
1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553,
1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693,
1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847,
1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997,
1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131,
2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287,
2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417,
2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593,
2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719,
2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861,
2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037,
3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209,
3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359,
3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527,
3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659,
3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821,
3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967,
3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129,
4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273,
4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457,
4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637,
4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789,
4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957,
4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101,
5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281,
5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,
5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623,
5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779,
5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903,
5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101,
6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269,
6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397,
6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599,
6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779,
6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947,
6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103,
7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283,
7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487,
7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607,
7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789,
7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951,
7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161,
8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311,
8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521,
8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681,
8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831,
8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007,
9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181,
9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343,
9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491,
9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679,
9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839,
9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973);
chr64 : Array[1..64] Of char = ('a', 'A', 'b', 'B', 'c', 'C', 'd', 'D', 'e', 'E', 'f', 'F',
'g', 'G', 'h', 'H', 'i', 'I', 'j', 'J', 'k', 'K', 'l', 'L', 'm', 'M', 'n', 'N', 'o', 'O', 'p',
'P', 'q', 'Q', 'r', 'R', 's', 'S', 't', 'T', 'u', 'U', 'v', 'V', 'w', 'W', 'x', 'X', 'y', 'Y',
'z', 'Z', '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '+', '=');
{$H+}
Procedure zeronetochar8(Var g : char; x : String);
Begin
If x[1] = '0' Then
Begin
If x[2] = '0' Then
Begin
If x[3] = '0' Then
Begin
If x[4] = '0' Then
Begin
If x[5] = '0' Then
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(1) Else g := chr(2);
End
Else
Begin
If x[8] = '0' Then g := chr(4) Else g := chr(3);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(5) Else g := chr(6);
End
Else
Begin
If x[8] = '0' Then g := chr(9) Else g := chr(8);
End
End
End
Else
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(7) Else g := chr(10);
End
Else
Begin
If x[8] = '0' Then g := chr(11) Else g := chr(13);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(14) Else g := chr(12);
End
Else
Begin
If x[8] = '0' Then g := chr(15) Else g := chr(16);
End
End
End
End
Else
Begin
If x[5] = '0' Then
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(18) Else g := chr(20);
End
Else
Begin
If x[8] = '0' Then g := chr(17) Else g := chr(21);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(19) Else g := chr(25);
End
Else
Begin
If x[8] = '0' Then g := chr(24) Else g := chr(22);
End
End
End
Else
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(23) Else g := chr(26);
End
Else
Begin
If x[8] = '0' Then g := chr(28) Else g := chr(31);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(27) Else g := chr(29);
End
Else
Begin
If x[8] = '0' Then g := chr(30) Else g := chr(32);
End
End
End
End
End
Else
Begin
If x[4] = '0' Then
Begin
If x[5] = '0' Then
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(0) Else g := chr(33);
End
Else
Begin
If x[8] = '0' Then g := chr(34) Else g := chr(36);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(35) Else g := chr(37);
End
Else
Begin
If x[8] = '0' Then g := chr(38) Else g := chr(40);
End
End
End
Else
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(39) Else g := chr(41);
End
Else
Begin
If x[8] = '0' Then g := chr(42) Else g := chr(43);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(44) Else g := chr(45);
End
Else
Begin
If x[8] = '0' Then g := chr(46) Else g := chr(47);
End
End
End
End
Else
Begin
If x[5] = '0' Then
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(48) Else g := chr(49);
End
Else
Begin
If x[8] = '0' Then g := chr(50) Else g := chr(51);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(52) Else g := chr(53);
End
Else
Begin
If x[8] = '0' Then g := chr(54) Else g := chr(55);
End
End
End
Else
Begin
If x[6] = '0' Then
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(56) Else g := chr(57);
End
Else
Begin
If x[8] = '0' Then g := chr(58) Else g := chr(59);
End
End
Else
Begin
If x[7] = '0' Then
Begin
If x[8] = '0' Then g := chr(60) Else g := chr(90);
End
Else
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