Path: blob/main/crypto/libecc/src/arithmetic_tests/arithmetic_tests_generator.py
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#/*1# * Copyright (C) 2017 - This file is part of libecc project2# *3# * Authors:4# * Ryad BENADJILA <[email protected]>5# * Arnaud EBALARD <[email protected]>6# * Jean-Pierre FLORI <[email protected]>7# *8# * Contributors:9# * Nicolas VIVET <[email protected]>10# * Karim KHALFALLAH <[email protected]>11# *12# * This software is licensed under a dual BSD and GPL v2 license.13# * See LICENSE file at the root folder of the project.14# */15#! /usr/bin/env python1617import random, sys, re, math, socket, os, select, signal18from datetime import datetime1920# Pre generated primes21first_primes_list = [222, 3, 5, 7, 11, 13, 17, 19, 23, 29,2331, 37, 41, 43, 47, 53, 59, 61, 67, 71,2473, 79, 83, 89, 97, 101, 103, 107, 109, 113,25127, 131, 137, 139, 149, 151, 157, 163, 167, 173,26179, 181, 191, 193, 197, 199, 211, 223, 227, 229,27233, 239, 241, 251, 257, 263, 269, 271, 277, 281,28283, 293, 307, 311, 313, 317, 331, 337, 347, 349,29353, 359, 367, 373, 379, 383, 389, 397, 401, 409,30419, 421, 431, 433, 439, 443, 449, 457, 461, 463,31467, 479, 487, 491, 499, 503, 509, 521, 523, 541,32547, 557, 563, 569, 571, 577, 587, 593, 599, 601,33607, 613, 617, 619, 631, 641, 643, 647, 653, 659,34661, 673, 677, 683, 691, 701, 709, 719, 727, 733,35739, 743, 751, 757, 761, 769, 773, 787, 797, 809,36811, 821, 823, 827, 829, 839, 853, 857, 859, 863,37877, 881, 883, 887, 907, 911, 919, 929, 937, 941,38947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013,391019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069,401087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151,411153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223,421229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291,431297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373,441381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451,451453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,461523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583,471597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657,481663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733,491741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,501823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889,511901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987,521993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053,532063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,542131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213,552221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287,562293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357,572371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423,582437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531,592539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617,602621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687,612689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741,622749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819,632833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903,642909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999,653001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,663083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181,673187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257,683259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331,693343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413,703433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511,713517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571,723581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643,733659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727,743733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821,753823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907,763911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989,774001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,784073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139,794153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231,804241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297,814327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409,824421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493,834507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583,844591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657,854663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751,864759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831,874861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937,884943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003,895009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,905099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179,915189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279,925281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387,935393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,945449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521,955527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639,965641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693,975701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791,985801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857,995861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939,1005953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053,1016067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133,1026143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221,1036229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301,1046311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367,1056373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,1066481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571,1076577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673,1086679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761,1096763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,1106841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917,1116947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997,1127001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103,1137109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,1147211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297,1157307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411,1167417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499,1177507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561,1187573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643,1197649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723,1207727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829,1217841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919,1227927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017,1238039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111,1248117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219,1258221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291,1268293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387,1278389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501,1288513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597,1298599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677,1308681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741,1318747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831,1328837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929,1338933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011,1349013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109,1359127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199,1369203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283,1379293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377,1389391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439,1399461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533,1409539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631,1419643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733,1429739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811,1439817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887,1449901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007,14510009, 10037, 10039, 10061, 10067, 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99721, 99733,97999761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839,98099859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971,98199989, 99991, 100003, 100019, 100043, 100049, 100057, 100069, 100103, 100109,982100129, 100151, 100153, 100169, 100183, 100189, 100193, 100207, 100213, 100237,983100267, 100271, 100279, 100291, 100297, 100313, 100333, 100343, 100357, 100361,984100363, 100379, 100391, 100393, 100403, 100411, 100417, 100447, 100459, 100469,985100483, 100493, 100501, 100511, 100517, 100519, 100523, 100537, 100547, 100549,986100559, 100591, 100609, 100613, 100621, 100649, 100669, 100673, 100693, 100699,987100703, 100733, 100741, 100747, 100769, 100787, 100799, 100801, 100811, 100823,988100829, 100847, 100853, 100907, 100913, 100927, 100931, 100937, 100943, 100957,989100981, 100987, 100999, 101009, 101021, 101027, 101051, 101063, 101081, 101089,990101107, 101111, 101113, 101117, 101119, 101141, 101149, 101159, 101161, 101173,991101183, 101197, 101203, 101207, 101209, 101221, 101267, 101273, 101279, 101281,992101287, 101293, 101323, 101333, 101341, 101347, 101359, 101363, 101377, 101383,993101399, 101411, 101419, 101429, 101449, 101467, 101477, 101483, 101489, 101501,994101503, 101513, 101527, 101531, 101533, 101537, 101561, 101573, 101581, 101599,995101603, 101611, 101627, 101641, 101653, 101663, 101681, 101693, 101701, 101719,996101723, 101737, 101741, 101747, 101749, 101771, 101789, 101797, 101807, 101833,997101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 101921, 101929,998101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 102023,999102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107,1000102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217,1001102229, 102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317,1002102329, 102337, 102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451,1003102461, 102481, 102497, 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104003, 104009, 104021, 104033, 104047, 104053, 104059,1016104087, 104089, 104107, 104113, 104119, 104123, 104147, 104149, 104161, 104173,1017104179, 104183, 104207, 104231, 104233, 104239, 104243, 104281, 104287, 104297,1018104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399,1019104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543,1020104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659,1021104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729,1022]1023102410251026### Ctrl-C handler1027def handler(signal, frame):1028sys.tracebacklimit = 01029exit(0)10301031DEFBUFSIZE=3276810321033def get_cpu_count():1034"""1035Try and estimate the number of CPU on the host. First using multiprocessing1036native function, other using content of /proc/cpuinfo. If none of those1037methods did work, 4 is returned.1038"""1039try:1040import multiprocessing1041cpucount = multiprocessing.cpu_count()1042except:1043try:1044s = open("/proc/cpuinfo").read()1045cpucount = int(s.split('processor')[-1].split(":")[1].split("\n")[0])1046cpucount += 11047except:1048cpucount = 41049return cpucount10501051# Simple helper to remove comments from a C program1052def C_comment_remover(text):1053def replacer(match):1054s = match.group(0)1055if s.startswith('/'):1056return " " # note: a space and not an empty string1057else:1058return s1059regexp = r'//.*?$|/\*.*?\*/|\'(?:\\.|[^\\\'])*\'|"(?:\\.|[^\\"])*"'1060pattern = re.compile(regexp, re.DOTALL | re.MULTILINE)1061return re.sub(pattern, replacer, text)106210631064def egcd(b, n):1065x0, x1, y0, y1 = 1, 0, 0, 11066while n != 0:1067q, b, n = b // n, n, b % n1068x0, x1 = x1, x0 - q * x11069y0, y1 = y1, y0 - q * y11070return b, x0, y010711072def modinv(a, m):1073g, x, y = egcd(a, m)1074if g != 1:1075raise Exception('modular inverse does not exist')1076else:1077return x % m10781079def is_probprime(n):1080# ensure n is odd1081if n % 2 == 0:1082return False1083# write n-1 as 2**s * d1084# repeatedly try to divide n-1 by 21085s = 01086d = n-11087while True:1088quotient, remainder = divmod(d, 2)1089if remainder == 1:1090break1091s += 11092d = quotient1093assert(2**s * d == n-1)1094# test the base a to see whether it is a witness for the compositeness of n1095def try_composite(a):1096if pow(a, d, n) == 1:1097return False1098for i in range(s):1099if pow(a, 2**i * d, n) == n-1:1100return False1101return True # n is definitely composite1102for i in range(5):1103a = random.randrange(2, n)1104if try_composite(a):1105return False1106return True # no base tested showed n as composite11071108def compute_monty_coef(nn_p, p_bitsize):1109"""1110Compute montgomery coeff r, r^2 and mpinv. p_bitsize is the size1111of p in bits. It is expected to be a multiple of word1112bit size.1113"""1114r = (1 << p_bitsize) % nn_p1115r_square = (1 << (2 * p_bitsize)) % nn_p1116mpinv = 2**wlen - (modinv(nn_p, 2**wlen))1117return r, r_square, mpinv11181119def compute_div_coef(nn_p, p_bitsize):1120"""1121Compute division coeffs p_normalized, p_shift and p_reciprocal.1122"""1123tmp = nn_p1124cnt = 01125while tmp != 0:1126tmp = tmp >> 11127cnt += 11128pshift = p_bitsize - cnt1129nn_pnorm = nn_p << pshift1130B = 2**wlen1131prec = B**3 // ((nn_pnorm >> (p_bitsize - 2*wlen)) + 1) - B1132return pshift, nn_pnorm, prec11331134def getbitlen(bint):1135"""1136Returns the number of bits encoding an integer1137"""1138if bint == 0:1139return 11140else:1141return int(bint).bit_length()11421143def getwlenbitlen(bint, wlen):1144"""1145Returns the number of bits encoding an integer1146"""1147rounded_wlen_bitlen = ((getbitlen(bint) + wlen - 1) // wlen) * wlen1148if(rounded_wlen_bitlen == 0):1149rounded_wlen_bitlen = wlen1150return rounded_wlen_bitlen11511152def legendre_symbol(a, p):1153ls = pow(a, (p - 1) // 2, p)1154return -1 if ls == p - 1 else ls11551156# Tonelli-Shanks algorithm to find square roots1157# over prime fields1158def mod_sqrt(a, p):1159# Simple cases1160if legendre_symbol(a, p) != 1:1161# No quadratic residue1162return None1163elif a == 0:1164return 01165elif p == 2:1166return a1167elif p % 4 == 3:1168return pow(a, (p + 1) // 4, p)1169s = p - 11170e = 01171while s % 2 == 0:1172s = s // 21173e += 11174n = 21175while legendre_symbol(n, p) != -1:1176n += 11177x = pow(a, (s + 1) // 2, p)1178b = pow(a, s, p)1179g = pow(n, s, p)1180r = e1181while True:1182t = b1183m = 01184for m in xrange(r):1185if t == 1:1186break1187t = pow(t, 2, p)1188if m == 0:1189return x1190gs = pow(g, 2 ** (r - m - 1), p)1191g = (gs * gs) % p1192x = (x * gs) % p1193b = (b * g) % p1194r = m11951196def format_int_string(bint, wlen):1197"""1198Returns the string format of an integer rounded to wlen1199"""1200rounded_bytelen = (wlen/8) * ((getbitlen(bint) + wlen - 1) // wlen)1201# Special case of zero bit length1202if(rounded_bytelen == 0):1203rounded_bytelen = wlen//81204return (("%%0%dx" % (2 * rounded_bytelen)) % bint)12051206def get_random_bigint(wlen, maxwlensize):1207nn_nwords = random.randint(1, maxwlensize)1208nn_maxval = 2 ** (nn_nwords * wlen) - 11209return random.randint(0, nn_maxval)12101211# Eratostene sieve for fast candidates1212def get_random_prime_sieve_candidate(wlen, maxwlensize):1213global first_primes_list1214while True:1215# Choose a random odd number1216r = get_random_bigint(wlen, maxwlensize) | 11217for divisor in first_primes_list:1218if (r % divisor) == 0 and (divisor**2 <= r):1219break1220else:1221# r is a suitable candidate1222return r12231224def get_random_prime(wlen, maxwlensize):1225while True:1226# Get a random integer1227r = get_random_prime_sieve_candidate(wlen, maxwlensize)1228# Check its primality1229if is_probprime(r):1230return r12311232if ((len(sys.argv) != 5) and (len(sys.argv) != 6)):1233sys.stderr.write("Usage: %s outfile wlen ntests [tests]\n" % sys.argv[0])1234sys.stderr.write("with\n")1235sys.stderr.write(" outfile: file in which generated tests will be stored\n")1236sys.stderr.write(" wlen : target architecture word length in bits (64, 32 or 16)\n")1237sys.stderr.write(" maxlen : maximum bit length of tests (e.g. 521 bits, ...)\n")1238sys.stderr.write(" ntests : a multiplier for the number of tests to perform\n")1239sys.stderr.write(" tests : (optional) specific tests to perform (regexp opcodes) OR\n")1240sys.stderr.write(" a '.c' file where to get the implemented tests. filename\n")1241sys.stderr.write(" is given using e.g. file=fp_pow.c\n")1242sys.exit(-1)12431244testfile = sys.argv[1]1245wlen = int(sys.argv[2])1246maxlen = int(sys.argv[3])1247ntests = int(sys.argv[4])12481249nn_logical_tests = ["NN_SHIFT_RIGHT", "NN_SHIFT_LEFT", "NN_ROTATE_RIGHT", "NN_ROTATE_LEFT",1250"NN_AND", "NN_XOR", "NN_OR", "NN_NOT"]1251nn_addition_tests = ["NN_ADD", "NN_SUB", "NN_INC", "NN_DEC", "NN_MOD_ADD", "NN_MOD_SUB", "NN_MOD_INC", "NN_MOD_DEC"]1252nn_mul_tests = ["NN_MUL", "NN_SQR", "NN_MUL_REDC1", "NN_COEF_REDC1", "NN_COEF_DIV", "NN_MOD_MUL", "NN_MOD_POW"]1253nn_div_tests = ["NN_MOD", "NN_DIVREM", "NN_MODINV", "NN_MODINV_2EXP", "NN_XGCD", "NN_GCD"]12541255nn_tests = nn_logical_tests + nn_addition_tests + nn_mul_tests + nn_div_tests12561257fp_add_tests = ["FP_ADD", "FP_SUB"]1258fp_mul_tests = ["FP_MUL", "FP_SQR", "FP_DIV", "FP_MUL_MONTY", "FP_SQR_MONTY", "FP_POW"]1259fp_sqrt_tests = ["FP_SQRT"]12601261fp_tests = fp_add_tests + fp_mul_tests + fp_sqrt_tests12621263all_tests = nn_tests + fp_tests12641265# Get optional specific parameters1266asked_tests = all_tests1267if (len(sys.argv) == 6):1268# Do we have a .c file given as input?1269if (sys.argv[5])[:5] == "file=":1270file_name = (sys.argv[5])[5:]1271# Open the .c file1272C_string = C_comment_remover(open(file_name, 'r').read())1273# Grep the interesting tests1274lines = C_string.split("\n")1275asked_tests = []1276for line in lines:1277if line[:13] == "GENERIC_TEST(":1278# Get second argument, which is the opcode1279the_test = line.split(",")[1].replace(" ", "")1280asked_tests += [the_test]1281# We have a list of opcode regexps1282else:1283def check_regexp(regexp, string):1284return re.match(regexp+"$", string)1285asked_tests = []1286asked_tests_regexps = ((sys.argv[5]).replace(" ", "")).split(",")1287# Check for regexps1288for regexp in asked_tests_regexps:1289# Asked operations must be known1290match = [x for x in all_tests if check_regexp(regexp, x)]1291if match == []:1292print "Warning: regexp matches no known operation ", regexp1293asked_tests += match12941295# Unnecessary test (we can keep it though)1296if len(list(set(asked_tests) & set(all_tests))) != len(asked_tests):1297print "Error: unknown asked tests ", list(set(asked_tests) - set(all_tests))1298exit(-1)12991300# Delta to use on word boundaries.1301WORD_BOUNDARY_DELTA=313021303# Max size (in words) of input numbers (nn, fp) on which to perform tests1304MAX_INPUT_PARAM_WLEN= ((maxlen + wlen - 1) // wlen)13051306test_funcs = { }13071308# Generate tests for NN_SHIFT_RIGHT and NN_SHIFT_LEFT operations.1309def test_NN_SHIFT(op):1310nn_nwords = random.randint(1, MAX_INPUT_PARAM_WLEN)1311nn_maxval = 2 ** (nn_nwords * wlen) - 11312nn_nbits = nn_nwords * wlen13131314nn_val = random.randint(0, nn_maxval)13151316res = []13171318# try and consider all possible words boundary on input ...1319for boundary in range(0, (nn_nwords + 1) * wlen, wlen):1320# and generate shift for bitcount in an interval around1321# that boundary, i.e. [boundary - delta, boundary + delta]1322min_cnt = max(0, boundary - WORD_BOUNDARY_DELTA)1323max_cnt = min(nn_nbits, boundary + WORD_BOUNDARY_DELTA)1324cnt = random.randint(min_cnt, max_cnt);1325msk = nn_maxval13261327# we try different bitlen for output1328for outbitlen in [boundary - wlen, boundary, boundary + wlen]:1329if outbitlen <= wlen:1330outbitlen = wlen13311332# Depending on the type of shift operation we consider,1333# we adapt the & mask1334if (op == "NN_SHIFT_RIGHT_FIXEDLEN"): # NN_SHIFT_RIGHT_FIXEDLEN1335msk = (2 ** outbitlen) - 11336out = (nn_val >> cnt) & msk1337elif (op == "NN_SHIFT_LEFT_FIXEDLEN"): # NN_SHIFT_LEFT_FIXEDLEN1338msk = (2 ** outbitlen) - 11339out = (nn_val << cnt) & msk1340elif (op == "NN_SHIFT_RIGHT"): # NN_SHIFT_RIGHT1341outbitlen = nn_nbits1342msk = (2 ** outbitlen) - 11343out = (nn_val >> cnt) & msk1344else: # NN_SHIFT_LEFT1345outbitlen = nn_nbits + cnt1346# Round the bit length to the word boundary1347outbitlen = ((outbitlen + wlen - 1) // wlen) * wlen1348msk = (2 ** outbitlen) - 11349out = (nn_val << cnt) & msk13501351fmt = "%s nnu %s %s %d\n"1352res.append(fmt % (op, format_int_string(out, wlen), format_int_string(nn_val, wlen), cnt))13531354return res13551356test_funcs["NN_SHIFT_RIGHT_FIXEDLEN"] = test_NN_SHIFT1357test_funcs["NN_SHIFT_LEFT_FIXEDLEN"] = test_NN_SHIFT1358test_funcs["NN_SHIFT_RIGHT"] = test_NN_SHIFT1359test_funcs["NN_SHIFT_LEFT"] = test_NN_SHIFT13601361# Generate tests for NN_ROTATE_LEFT and NN_ROTATE_RIGHT operations.1362def test_NN_ROTATE(op):1363# random value for both input numbers1364nn_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1365bitlen = random.randint(1, getbitlen(nn_val))1366cnt = random.randint(0, bitlen-1)13671368res = []13691370if (op == "NN_ROTATE_LEFT"): # NN_ROTATE_LEFT1371nn_exp_res = ((nn_val << cnt) ^ (nn_val >> (bitlen - cnt))) & (2**bitlen - 1)1372else: # NN_ROTATE_RIGHT1373nn_exp_res = ((nn_val >> cnt) ^ (nn_val << (bitlen - cnt))) & (2**bitlen - 1)13741375fmt = "%s nnuu %s %s %d %d\n"1376res.append(fmt % (op, format_int_string(nn_exp_res, wlen), format_int_string(nn_val, wlen), cnt, bitlen))13771378return res13791380test_funcs["NN_ROTATE_LEFT"] = test_NN_ROTATE1381test_funcs["NN_ROTATE_RIGHT"] = test_NN_ROTATE138213831384# Generate tests for NN_XOR, NN_OR and NN_AND operations.1385def test_NN_XOR_OR_AND(op):1386# random value for both input numbers1387nn1_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1388nn2_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)13891390res = []13911392if (op == "NN_XOR"): # NN_XOR1393nn_exp_res = nn1_val ^ nn2_val1394elif (op == "NN_OR"): # NN_OR1395nn_exp_res = nn1_val | nn2_val1396else: # NN_AND1397nn_exp_res = nn1_val & nn2_val13981399fmt = "%s nnn %s %s %s\n"1400res.append(fmt % (op, format_int_string(nn1_val, wlen), format_int_string(nn2_val, wlen), format_int_string(nn_exp_res, wlen)))14011402return res14031404test_funcs["NN_XOR"] = test_NN_XOR_OR_AND1405test_funcs["NN_OR"] = test_NN_XOR_OR_AND1406test_funcs["NN_AND"] = test_NN_XOR_OR_AND140714081409def test_NN_NOT(op):1410""" Generate tests for NN_NOT """1411nn_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)14121413res = []14141415# python sucks at computing logical not. It generates a two's complement1416# representation, which mays result in a negative value i.e. not what we1417# are looking for.1418nn_exp_res = ((2 ** getwlenbitlen(nn_val, wlen)) - 1) & (~nn_val)14191420fmt = "%s nn %s %s\n"1421res.append(fmt % (op, format_int_string(nn_val, wlen), format_int_string(nn_exp_res, wlen)))14221423return res14241425test_funcs["NN_NOT"] = test_NN_NOT142614271428def test_NN_ADD_SUB(op):1429""" Generate tests for NN_ADD and NN_SUB """1430# Get two random big num1431nn_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1432nn_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)14331434# Compute the result depending on the operation1435if (op == "NN_ADD"):1436res = nn_val1 + nn_val21437else:1438if (nn_val1 < nn_val2):1439tmp = nn_val11440nn_val1 = nn_val21441nn_val2 = tmp1442res = nn_val1 - nn_val21443nn_exp_res = res14441445fmt = "%s nnn %s %s %s\n"1446s = fmt % (op, format_int_string(nn_val1, wlen), format_int_string(nn_val2, wlen), format_int_string(nn_exp_res, wlen))14471448return [ s ]14491450test_funcs["NN_ADD"] = test_NN_ADD_SUB1451test_funcs["NN_SUB"] = test_NN_ADD_SUB145214531454def test_NN_INC_DEC(op):1455""" Generate tests for NN_INC and NN_DEC """1456nn_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)14571458# Compute the result depending on the operation1459if (op == "NN_INC"):1460res = nn_val + 11461else:1462res = nn_val - 11463nn_exp_res = res14641465fmt = "%s nn %s %s\n"1466s = fmt % (op, format_int_string(nn_val, wlen), format_int_string(nn_exp_res, wlen))14671468return [ s ]14691470test_funcs["NN_INC"] = test_NN_INC_DEC1471test_funcs["NN_DEC"] = test_NN_INC_DEC14721473def test_NN_MOD_ADD_SUB(op):1474""" Generate tests for modular NN_ADD and NN_SUB """1475# Get three random big num1476nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1477nn_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod1478nn_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod14791480# Compute the result depending on the operation1481if (op == "NN_MOD_ADD"):1482res = (nn_val1 + nn_val2) % nn_mod1483else:1484if (nn_val1 < nn_val2):1485tmp = nn_val11486nn_val1 = nn_val21487nn_val2 = tmp1488res = (nn_val1 - nn_val2) % nn_mod1489nn_exp_res = res14901491fmt = "%s nnnn %s %s %s %s\n"1492s = fmt % (op, format_int_string(nn_val1, wlen), format_int_string(nn_val2, wlen), format_int_string(nn_mod, wlen), format_int_string(nn_exp_res, wlen))14931494return [ s ]14951496test_funcs["NN_MOD_ADD"] = test_NN_MOD_ADD_SUB1497test_funcs["NN_MOD_SUB"] = test_NN_MOD_ADD_SUB14981499def test_NN_MOD_INC_DEC(op):1500""" Generate tests for NN_MOD_INC and NN_MOD_DEC """1501nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1502nn_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod15031504# Compute the result depending on the operation1505if (op == "NN_MOD_INC"):1506res = (nn_val + 1) % nn_mod1507else:1508if nn_val == 0:1509nn_val = nn_val + 11510res = (nn_val - 1) % nn_mod1511nn_exp_res = res15121513fmt = "%s nnn %s %s %s\n"1514s = fmt % (op, format_int_string(nn_val, wlen), format_int_string(nn_mod, wlen), format_int_string(nn_exp_res, wlen))15151516return [ s ]15171518test_funcs["NN_MOD_INC"] = test_NN_MOD_INC_DEC1519test_funcs["NN_MOD_DEC"] = test_NN_MOD_INC_DEC152015211522def test_NN_MUL_SQR(op):1523""" Generate tests for NN_MUL and NN_SQR """1524# random value for input numbers1525nn_in1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1526nn_in2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)15271528if (op == "NN_MUL"):1529out = nn_in1 * nn_in215301531fmt = "%s nnnu %s %s %s\n"1532s = fmt % (op, format_int_string(out, wlen), format_int_string(nn_in1, wlen), format_int_string(nn_in2, wlen))1533else:1534out = nn_in1 * nn_in115351536fmt = "%s nnu %s %s\n"1537s = fmt % (op, format_int_string(out, wlen), format_int_string(nn_in1, wlen))15381539return [ s ]15401541test_funcs["NN_MUL"] = test_NN_MUL_SQR1542test_funcs["NN_SQR"] = test_NN_MUL_SQR15431544def test_NN_MOD_MUL(op):1545""" Generate tests for modular NN_MOD_MUL """1546# Get three random big num1547nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1548nn_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod1549nn_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod15501551# Compute the result depending on the operation1552res = (nn_val1 * nn_val2) % nn_mod1553nn_exp_res = res15541555fmt = "%s nnnn %s %s %s %s\n"1556s = fmt % (op, format_int_string(nn_val1, wlen), format_int_string(nn_val2, wlen), format_int_string(nn_mod, wlen), format_int_string(nn_exp_res, wlen))15571558return [ s ]15591560test_funcs["NN_MOD_MUL"] = test_NN_MOD_MUL15611562def test_NN_MOD_POW(op):1563""" Generate tests for modular NN_MOD_POW """1564# Get three random big num1565nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1566nn_base = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod1567nn_exp = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod15681569# Compute the result depending on the operation1570res = pow(nn_base, nn_exp, nn_mod)1571nn_exp_res = res15721573fmt = "%s nnnn %s %s %s %s\n"1574s = fmt % (op, format_int_string(nn_base, wlen), format_int_string(nn_exp, wlen), format_int_string(nn_mod, wlen), format_int_string(nn_exp_res, wlen))15751576return [ s ]15771578test_funcs["NN_MOD_POW"] = test_NN_MOD_POW157915801581def test_NN_MOD(op):1582""" Generate tests for NN_MOD """1583# random value for input numbers1584nn_c = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1585nn_d = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)15861587nn_exp_r = nn_c % nn_d15881589fmt = "%s nnn %s %s %s\n"1590s = fmt % (op, format_int_string(nn_exp_r, wlen), format_int_string(nn_c, wlen), format_int_string(nn_d, wlen))15911592return [ s ]15931594test_funcs["NN_MOD"] = test_NN_MOD15951596def test_NN_DIVREM(op):1597""" Generate tests for NN_DIVREM """1598# random value for input numbers with second one non zero1599nn_c = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1600nn_d = 01601while nn_d == 0:1602nn_d = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)16031604nn_exp_q = (nn_c // nn_d)1605nn_exp_r = nn_c % nn_d16061607fmt = "%s nnnn %s %s %s %s\n"1608s = fmt % (op, format_int_string(nn_exp_q, wlen), format_int_string(nn_exp_r, wlen), format_int_string(nn_c, wlen), format_int_string(nn_d, wlen))16091610return [ s ]16111612test_funcs["NN_DIVREM"] = test_NN_DIVREM16131614def test_NN_XGCD(op):1615""" Generate tests for NN_XGCD """1616# random value for input numbers1617nn_a = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1618nn_b = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)16191620(nn_exp_g, nn_exp_u, nn_exp_v) = egcd(nn_a, nn_b)1621# Check sign of u and v and adapt output1622if nn_exp_u < 0:1623sign = -11624nn_exp_u = (((2 ** getbitlen(nn_exp_u)) - 1) & (~nn_exp_u)) + 11625else:1626sign = 11627nn_exp_v = (((2 ** getbitlen(nn_exp_v)) - 1) & (~nn_exp_v)) + 11628fmt = "%s nnnnns %s %s %s %s %s %d\n"1629s = fmt % (op, format_int_string(nn_exp_g, wlen), format_int_string(nn_exp_u, wlen), format_int_string(nn_exp_v, wlen), format_int_string(nn_a, wlen), format_int_string(nn_b, wlen), sign)16301631return [ s ]16321633test_funcs["NN_XGCD"] = test_NN_XGCD16341635def test_NN_GCD(op):1636""" Generate tests for NN_GCD """1637# random value for input numbers1638nn_a = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1639nn_b = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)16401641(nn_exp_g, nn_exp_u, nn_exp_v) = egcd(nn_a, nn_b)16421643(nn_exp_g, nn_exp_u, nn_exp_v) = egcd(nn_a, nn_b)1644# Check sign of u and v and adapt output1645if nn_exp_u < 0:1646sign = -11647else:1648sign = 116491650fmt = "%s nnns %s %s %s %d\n"1651s = fmt % (op, format_int_string(nn_exp_g, wlen), format_int_string(nn_a, wlen), format_int_string(nn_b, wlen), sign)16521653return [ s ]16541655test_funcs["NN_GCD"] = test_NN_GCD16561657def test_NN_MODINV(op):1658""" Generate tests for NN_MODINV """1659# random value for input numbers, first one non zero1660nn_x = 01661while nn_x == 0:1662nn_x = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)1663nn_m = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN)16641665try:1666nn_exp_v = modinv(nn_x, nn_m)1667exp_r = 01668except Exception:1669nn_exp_v = 01670exp_r = -116711672fmt = "%s nnns %s %s %s %d\n"1673s = fmt % (op, format_int_string(nn_exp_v, wlen), format_int_string(nn_x, wlen), format_int_string(nn_m, wlen), exp_r)16741675return [ s ]16761677test_funcs["NN_MODINV"] = test_NN_MODINV16781679def test_NN_MODINV_2EXP(op):1680""" Generate tests for NN_MODINV_2EXP """1681# random value for input number, must be odd1682nn_x = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 11683exp = random.randint(1, MAX_INPUT_PARAM_WLEN * wlen)16841685nn_exp_v = modinv(nn_x, 2**exp)1686isodd = 11687if (nn_x % 2) == 0:1688isodd = 016891690fmt = "%s nnus %s %s %d %d\n"1691s = fmt % (op, format_int_string(nn_exp_v, wlen), format_int_string(nn_x, wlen), exp, isodd)16921693return [ s ]16941695test_funcs["NN_MODINV_2EXP"] = test_NN_MODINV_2EXP16961697def test_NN_MUL_REDC1(op):1698""" Generate tests for NN_MUL_REDC1 """1699# Odd modulus1700nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 11701nn_r, nn_r_square, mpinv = compute_monty_coef(nn_mod, getwlenbitlen(nn_mod, wlen))17021703# random value for input numbers modulo our random mod1704nn_in1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod1705nn_in2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_mod17061707# Montgomery multiplication computes in1 * in2 * r^-1 (mod)1708out = (nn_in1 * nn_in2 * modinv(nn_r, nn_mod)) % nn_mod17091710fmt = "%s nnnnu %s %s %s %s %d\n"1711s = fmt % (op, format_int_string(out, wlen), format_int_string(nn_in1, wlen), format_int_string(nn_in2, wlen), format_int_string(nn_mod, wlen), mpinv)17121713return [ s ]17141715test_funcs["NN_MUL_REDC1"] = test_NN_MUL_REDC117161717def test_NN_COEF_REDC1(op):1718""" Generate tests for NN_COEF_REDC1 """1719# Odd modulus1720nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 11721# Get the results1722# Expand the modulus size if necessary1723if getwlenbitlen(nn_mod, wlen) == wlen:1724nn_r, nn_r_square, mpinv = compute_monty_coef(nn_mod, 2*getwlenbitlen(nn_mod, wlen))1725else:1726nn_r, nn_r_square, mpinv = compute_monty_coef(nn_mod, getwlenbitlen(nn_mod, wlen))17271728fmt = "%s nnnu %s %s %s %d\n"1729s = fmt % (op, format_int_string(nn_r, wlen), format_int_string(nn_r_square, wlen), format_int_string(nn_mod, wlen), mpinv)17301731return [ s ]17321733test_funcs["NN_COEF_REDC1"] = test_NN_COEF_REDC117341735def test_NN_COEF_DIV(op):1736""" Generate tests for NN_COEF_DIV """1737# Odd modulus1738nn_mod = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 11739# Get the results1740# Expand the modulus size if necessary1741if getwlenbitlen(nn_mod, wlen) == wlen:1742pshift, nn_pnorm, prec = compute_div_coef(nn_mod, 2*getwlenbitlen(nn_mod, wlen))1743else:1744pshift, nn_pnorm, prec = compute_div_coef(nn_mod, getwlenbitlen(nn_mod, wlen))17451746fmt = "%s nuun %s %d %d %s\n"1747s = fmt % (op, format_int_string(nn_pnorm, wlen), pshift, prec, format_int_string(nn_mod, wlen))17481749return [ s ]17501751test_funcs["NN_COEF_DIV"] = test_NN_COEF_DIV175217531754# Helper to compute and export an Fp context1755def format_fp_context(nn_p, wlen):1756nn_nbits = getwlenbitlen(nn_p, wlen)1757if nn_nbits == wlen:1758nn_nbits = 2 * wlen1759nn_r, nn_r_square, mpinv = compute_monty_coef(nn_p, nn_nbits)1760pshift, nn_pnorm, prec = compute_div_coef(nn_p, nn_nbits)1761f = "%%0%dx" % ((nn_nbits // 8) * 2)1762fmpinv = "%%0%dx" % (((wlen // 8)) * 2)1763return ("%s%s%s%s%s%s%s" % (f % nn_p, f % nn_r, f % nn_r_square, fmpinv % mpinv,1764fmpinv % pshift, f % nn_pnorm, fmpinv % prec))17651766def test_FP_ADD_SUB(op):1767""" Generate tests for FP_ADD_SUB """1768# Use random odd number for faster generation1769nn_p = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 117701771# Get two random big num1772fp_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1773fp_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p17741775# Compute the result depending on the operation1776if (op == "FP_ADD"):1777fp_exp_res = (fp_val1 + fp_val2) % nn_p1778else:1779fp_exp_res = (fp_val1 - fp_val2) % nn_p17801781fmt = "%s cfff %s %s %s %s\n"1782s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1, wlen), format_int_string(fp_val2, wlen))17831784return [ s ]17851786test_funcs["FP_ADD"] = test_FP_ADD_SUB1787test_funcs["FP_SUB"] = test_FP_ADD_SUB17881789def test_FP_DIV(op):1790""" Generate tests for FP_DIV """1791# Get random prime1792# NOTE: since we use Fermat's little theorem for inversion, p1793# MUST be prime for DIV (while p is relaxed only to be odd for most1794# of the other operations).1795# Generate a random prime1796nn_p = get_random_prime(wlen, MAX_INPUT_PARAM_WLEN)17971798# Get two random big num1799fp_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1800fp_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p18011802fp_exp_res = (fp_val1 * modinv(fp_val2, nn_p)) % nn_p18031804fmt = "%s cfff %s %s %s %s\n"1805s = fmt % (op,format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1, wlen), format_int_string(fp_val2, wlen))18061807return [ s ]18081809test_funcs["FP_DIV"] = test_FP_DIV18101811def test_FP_MUL_SQR(op):1812""" Generate tests for FP_MUL_SQR """1813# Use random odd number for faster generation1814nn_p = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 118151816# Get two random big num1817fp_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1818fp_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p18191820# Compute the result depending on the operation1821if (op == "FP_MUL") or (op == "FP_SQR"):1822if (op == "FP_MUL"):1823fp_exp_res = (fp_val1 * fp_val2) % nn_p1824else:1825fp_exp_res = (fp_val1 * fp_val1) % nn_p18261827if (op == "FP_SQR"):1828fmt = "%s cff %s %s %s\n"1829s = fmt % (op,format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1, wlen))1830else:1831fmt = "%s cfff %s %s %s %s\n"1832s = fmt % (op,format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1, wlen), format_int_string(fp_val2, wlen))18331834return [ s ]18351836test_funcs["FP_MUL"] = test_FP_MUL_SQR1837test_funcs["FP_SQR"] = test_FP_MUL_SQR183818391840def test_FP_MUL_SQR_MONTY(op):1841""" Generate tests for FP_MUL_SQR_MONTY """1842# Use random odd number for faster generation1843nn_p = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 11844if getwlenbitlen(nn_p, wlen) == wlen:1845nn_r, nn_r_square, mpinv = compute_monty_coef(nn_p, 2*getwlenbitlen(nn_p, wlen))1846else:1847nn_r, nn_r_square, mpinv = compute_monty_coef(nn_p, getwlenbitlen(nn_p, wlen))18481849# Get two random big num1850fp_val1 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1851fp_val2 = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1852# representations of fp_val1 and fp_val2 in Montgomery's world1853fp_val1_mont = (fp_val1 * nn_r ) % nn_p1854fp_val2_mont = (fp_val2 * nn_r ) % nn_p185518561857if (op == "FP_MUL_MONTY") or (op == "FP_SQR_MONTY"):1858if (op == "FP_MUL_MONTY"):1859fp_exp_res = (fp_val1_mont * fp_val2_mont * modinv(nn_r%nn_p, nn_p)) % nn_p1860else:1861fp_exp_res = (fp_val1_mont * fp_val1_mont * modinv(nn_r%nn_p, nn_p)) % nn_p18621863if (op == "FP_SQR"):1864fmt = "%s cff %s %s %s\n"1865s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1_mont, wlen))1866else:1867fmt = "%s cfff %s %s %s %s\n"1868s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val1_mont, wlen), format_int_string(fp_val2_mont, wlen))18691870return [ s ]18711872test_funcs["FP_MUL_MONTY"] = test_FP_MUL_SQR_MONTY1873test_funcs["FP_SQR_MONTY"] = test_FP_MUL_SQR_MONTY187418751876def test_FP_POW(op):1877""" Generate tests for FP_POW """1878# Instead of random prime, use random odd number for faster generation1879nn_p = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) | 118801881# Get two random big num1882fp_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p1883nn_exp = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p18841885fp_exp_res = pow(fp_val, nn_exp, nn_p)18861887fmt = "%s cffn %s %s %s %s\n"1888s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(fp_exp_res, wlen), format_int_string(fp_val, wlen), format_int_string(nn_exp, wlen))18891890return [ s ]18911892test_funcs["FP_POW"] = test_FP_POW189318941895def test_FP_SQRT(op):1896""" Generate tests for FP_SQRT """1897# Generate a random prime1898nn_p = get_random_prime(wlen, MAX_INPUT_PARAM_WLEN)18991900# Get a random big num in Fp1901fp_val = get_random_bigint(wlen, MAX_INPUT_PARAM_WLEN) % nn_p19021903# Compute the first square root1904fp_sqrt1 = mod_sqrt(fp_val, nn_p)1905# Compute the other square root1906if fp_sqrt1 != None:1907fp_sqrt2 = (-fp_sqrt1) % nn_p19081909fmt = "%s cfffs %s %s %s %s %s\n"1910if fp_sqrt1 != None:1911s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(fp_sqrt1, wlen), format_int_string(fp_sqrt2, wlen), format_int_string(fp_val, wlen), 0)1912else:1913s = fmt % (op, format_fp_context(nn_p, wlen), format_int_string(0, wlen), format_int_string(0, wlen), format_int_string(fp_val, wlen), -1)19141915return [ s ]19161917test_funcs["FP_SQRT"] = test_FP_SQRT1918191919201921def do_test(sockfd, op, n):1922"""1923Do given test and send back result on given socket1924before leaving.1925"""1926res = []1927for k in range(n):1928res += test_funcs[op](op)1929remain = "".join(res)1930while (remain):1931cur = remain[:DEFBUFSIZE]1932sockfd.send(cur)1933remain = remain[DEFBUFSIZE:]1934sockfd.close()193519361937# The way we make generation parallel is by splitting ntests equally1938# on the number of proc we have.1939signal.signal(signal.SIGINT, handler)19401941# ATM, we spawn as many processes as the number of tests we have.1942# We adapt the output on stdout or regular file.1943if testfile == "stdout":1944fd = sys.stdout1945else:1946fd = open(testfile, "w")1947numproc = get_cpu_count()1948line = 019491950sys.stderr.write("[+] Dispatching our %d tests on %d proc\n" % (ntests, numproc))19511952for test in asked_tests:1953socks = []19541955# Before forking, we need to be sure there is no1956# remaining data in file fd buffers, otherwise1957# those will end up being flushed by out childs1958# and create duplicates in the file.1959fd.flush()19601961n = max((ntests // numproc), 1)1962for k in range(0, ntests, n):1963# Create a pair of sockets for us and the child we'll spawn1964a, b = socket.socketpair()1965a.setsockopt(socket.SOL_SOCKET, socket.SO_RCVBUF, DEFBUFSIZE)1966b.setsockopt(socket.SOL_SOCKET, socket.SO_RCVBUF, DEFBUFSIZE)1967a.setsockopt(socket.SOL_SOCKET, socket.SO_SNDBUF, DEFBUFSIZE)1968b.setsockopt(socket.SOL_SOCKET, socket.SO_SNDBUF, DEFBUFSIZE)19691970# keep track of our socket1971socks.append(a)19721973# Double fork a helper to create the campaign for this specific1974# test.1975pid = os.fork()1976if pid != 0:1977os.waitpid(pid, 0)1978else:1979pid = os.fork()1980if pid != 0:1981sys.exit()1982else:1983a.close()1984# Properly seeding to avoid duplicate random generation1985random.seed(datetime.now())1986do_test(b, test, n)1987sys.exit()19881989b.close()19901991# Now that we have fork all helpers, let's just wait until they are1992# done and read back the results to write them to file.1993while socks:1994tmp = select.select(socks, [], [])1995for s in tmp[0]:1996socks.remove(s)1997tmp = s.recv(DEFBUFSIZE)1998res = ""1999while tmp:2000res += tmp2001tmp = s.recv(DEFBUFSIZE)2002res = res.split('\n')[:-1]2003reslen = len(res)2004res = zip(range(reslen), res)2005fd.write("".join(map(lambda (x,y): "%d %s\n" % (x + line, y), res)))2006line += reslen20072008fd.close()200920102011