diff options
Diffstat (limited to 'src/Specific/Framework/bench/montladder.py')
-rw-r--r-- | src/Specific/Framework/bench/montladder.py | 95 |
1 files changed, 0 insertions, 95 deletions
diff --git a/src/Specific/Framework/bench/montladder.py b/src/Specific/Framework/bench/montladder.py deleted file mode 100644 index e30e3454c..000000000 --- a/src/Specific/Framework/bench/montladder.py +++ /dev/null @@ -1,95 +0,0 @@ -#!/usr/bin/env python -import sys, re - -q = 2**448 - 2**224 - 1 -modulus_bytes = 56 -a24 = 39081 - -def eval_numexpr(numexpr): - # copying from https://stackoverflow.com/a/25437733/377022 - numexpr = re.sub(r"\.(?![0-9])", "", numexpr) # purge any instance of '.' not followed by a number - return eval(numexpr, {'__builtins__':None}) - -def usage(args, updates, retcode=0): - print('USAGE: %s %s' % (args[0], ' '.join('[-D%s=NUMEXPR]' % k for k, v in updates))) - sys.exit(retcode) - -def update_defaults(args): - global q - global modulus_bytes - global a24 - updates = (('q',q), ('modulus_bytes',modulus_bytes), ('a24',a24)) - if '--help' in args or '-h' in args: usage(args, updates) - updates = dict(updates) - found = [] - for k in updates.keys(): - for arg in args[1:]: - if arg.startswith('-D%s=' % k): - found.append(arg) - updates[k] = eval_numexpr(arg[len('-D%s=' % k):]) - elif arg.startswith('-D%s' % k): - found.append(arg) - updates[k] = eval_numexpr(arg[len('-D%s' % k):]) - unfound = [arg for arg in args[1:] if arg not in found] - if len(unfound) > 0: - print('ERROR: unrecognized arguments: ' + ' '.join(map(repr, unfound))) - usage(args, updates, retcode=1) - q = updates['q'] - modulus_bytes = updates['modulus_bytes'] - a24 = updates['a24'] - print('q: %(q)s, modulus_bytes: %(modulus_bytes)s, a24: %(a24)s' % updates) - -def ladderstep(x1, x, z, x_p, z_p): - origx = x - x = (x + z)%q - z = (origx - z)%q - origx_p = x_p - x_p = (x_p + z_p)%q - z_p = (origx_p - z_p)%q - xx_p = (x_p * z)%q - zz_p = (x * z_p)%q - origx_p = xx_p - xx_p = (xx_p + zz_p)%q - zz_p = (origx_p - zz_p)%q - x3 = (xx_p*xx_p)%q - zzz_p = (zz_p*zz_p)%q - z3 = (zzz_p * x1)%q - xx = (x*x)%q - zz = (z*z)%q - x2 = (xx * zz)%q - zz = (xx - zz)%q - zzz = (zz * a24)%q - zzz = (zzz + xx)%q - z2 = (zz * zzz)%q - return ((x2, z2), (x3, z3)) - -def crypto_scalarmult(secret, secretbits, point): - x1 = sum(point[i] << (8*i) for i in range(modulus_bytes)) - x = 1; z = 0; x_p = x1; z_p = 1; - swap = 0 - - i = secretbits - 1 - while i >= 0: - bit = secret[i//8] >> (i%8)&1 - # print(bit, x*pow(z,q-2,q)%q, x_p*pow(z_p,q-2,q)%q) - if swap ^ bit: ((x, z), (x_p, z_p)) = ((x_p, z_p), (x, z)) - swap = bit - (x, z), (x_p, z_p) = ladderstep(x1, x, z, x_p, z_p) - i -= 1 - if swap: ((x, z), (x_p, z_p)) = ((x_p, z_p), (x, z)) - x = (x*pow(z,q-2,q))%q - return [((x >> (8*i)) & 0xff) for i in range(modulus_bytes)] - -if __name__ == '__main__': - update_defaults(sys.argv) - BASE = [5]+(modulus_bytes-1)*[0] - print (crypto_scalarmult([1]+(modulus_bytes-1)*[0], 8*modulus_bytes, BASE)) - - s = [61, 38, 47, 221, 249, 236, 142, 136, 73, 82, 102, 254, 161, 154, 52, 210, 136, 130, 172, 239, 4, 81, 4, 208, 209, 170, 225, 33, 112, 10, 119, 156, 152, 76, 36, 248, 205, 215, 143, 191, 244, 73, 67, 235, 163, 104, 245, 75, 41, 37, 154, 79, 28, 96, 10, 211] - s[0] &= 252 - s[55] |= 128 - - P = [6, 252, 230, 64, 250, 52, 135, 191, 218, 95, 108, 242, 213, 38, 63, 138, 173, 136, 51, 76, 189, 7, 67, 127, 2, 15, 8, 249, 129, 77, 192, 49, 221, 189, 195, 140, 25, 198, 218, 37, 131, 250, 84, 41, 219, 148, 173, 161, 138, 167, 167, 251, 78, 248, 160, 134] - Q = crypto_scalarmult(s, 8*modulus_bytes, P) - print(''.join(hex(i)[2:] for i in Q)) - print(Q==[206, 62, 79, 249, 90, 96, 220, 102, 151, 218, 29, 177, 216, 94, 106, 251, 223, 121, 181, 10, 36, 18, 215, 84, 109, 95, 35, 159, 225, 79, 186, 173, 235, 68, 95, 198, 106, 1, 176, 119, 157, 152, 34, 57, 97, 17, 30, 33, 118, 98, 130, 247, 61, 217, 107, 111]) |