mdw@git.distorted.org.uk Git - catacomb/blob - utils/qfarith-test

   1 #! /usr/bin/python
   2
   3 from sys import argv
   4 import catacomb as C
   5
   6 TESTS = {}
   7 NTEST = 20
   8
   9 def test(arg):
  10   def reg(fn, name):
  11     TESTS[name] = fn
  12     return fn
  13   if isinstance(arg, str): return lambda fn: reg(fn, arg)
  14   else: return reg(arg, arg.__name__.replace('_', '-'))
  15
  16 FIELDS = {}
  17
  18 class FieldElt (object):
  19   def __init__(me, k, n):
  20     me.k = k
  21     me.v = (C.MP(n)%k.p).storel(k.len)
  22   def __str__(me): return hex(me.v)
  23   @property
  24   def n(me): return C.MP.loadl(me.v)
  25   def __pos__(me): return FieldElt(me.k, me.n)
  26   def __neg__(me): return FieldElt(me.k, -me.n)
  27   def __nonzero__(me): return me.n != 0
  28   def __add__(me, you): return FieldElt(me.k, me.n + me.k(you).n)
  29   def __radd__(me, you): return FieldElt(me.k, me.k(you).n + me.n)
  30   def __sub__(me, you): return FieldElt(me.k, me.n - me.k(you).n)
  31   def __rsub__(me, you): return FieldElt(me.k, me.k(you).n - me.n)
  32   def __mul__(me, you): return FieldElt(me.k, me.n*me.k(you).n)
  33   def __rmul__(me, you): return FieldElt(me.k, me.k(you).n*me.n)
  34   def __div__(me, you): return FieldElt(me.k, me.n*me.k(you).inv().n)
  35   def __rdiv__(me, you): return FieldElt(me.k, me.k(you).n*me.inv().n)
  36   def inv(me): return FieldElt(me.k, me.k.p.modinv(me.n))
  37   def sqrt(me): return FieldElt(me.k, me.k.p.modsqrt(me.n))
  38   @classmethod
  39   def rand(cls, k):
  40     me = cls(k, 0)
  41     me.v = C.rand.block(k. len)
  42     return me
  43
  44 class Field (object):
  45   def __init__(me, p, len = None):
  46     me.p = C.MP(p)
  47     me.len = len is None and me.p.noctets or len
  48   @classmethod
  49   def register(cls, name, *args, **kw):
  50     FIELDS[name] = cls(*args, **kw)
  51   def rand(me): return FieldElt.rand(me)
  52   def __call__(me, n):
  53     if isinstance(n, FieldElt):
  54       assert n.k is me
  55       return n
  56     else:
  57       return FieldElt(me, n)
  58
  59 Field.register('f25519', C.MP(0).setbit(255) - 19)
  60 Field.register('fgoldi', C.MP(0).setbit(448) - C.MP(0).setbit(224) - 1)
  61
  62 def binop(k, op):
  63   x = k.rand(); y = k.rand()
  64   print '  %s\n    %s\n    %s;' % (x, y, op(x, y))
  65
  66 def unop(k, op):
  67   x = k.rand()
  68   print '  %s\n    %s;' % (x, op(x))
  69
  70 @test
  71 def add(k): binop(k, lambda x, y: x + y)
  72
  73 @test
  74 def sub(k): binop(k, lambda x, y: x - y)
  75
  76 @test
  77 def neg(k): unop(k, lambda x: -x)
  78
  79 @test
  80 def mul(k): binop(k, lambda x, y: x*y)
  81
  82 @test
  83 def sqr(k): unop(k, lambda x: x*x)
  84
  85 @test
  86 def inv(k): unop(k, lambda x: x and x.inv() or k(0))
  87
  88 @test
  89 def quosqrt(k):
  90   x = k.rand(); y = k.rand()
  91   yy = +y
  92   u = yy and x/y or k(0)
  93   try: zz = u.sqrt()
  94   except ValueError: print '  %s\n    %s\n    "" "";' % (x, y)
  95   else: print '  %s\n    %s\n    %s\n    %s;' % (x, y, zz, -zz)
  96
  97 @test
  98 def mulconst(k):
  99   x = k.rand()
 100   a = C.rand.range(1 << 20) - (1 << 19)
 101   print '  %s %d\n    %s;' % (x, a, a*x)
 102
 103 def mask(): return C.rand.range(2)*0xffffffff
 104
 105 @test
 106 def pick2(k):
 107   x = k.rand(); y = k.rand(); m = mask()
 108   print '  %s\n    %s\n    0x%08x\n    %s;' % (x, y, m, +(m and x or y))
 109
 110 @test
 111 def condneg(k):
 112   x = k.rand(); m = mask()
 113   print '  %s\n    0x%08x\n    %s;' % (x, m, x*(m and -1 or +1))
 114
 115 @test
 116 def pickn(k):
 117   n = C.rand.range(31) + 1
 118   v = [k.rand() for i in xrange(n)]
 119   i = C.rand.range(n)
 120   print '  "%s"\n    %d\n    %s;' % ('\n   '.join(map(str, v)), i, +v[i])
 121
 122 @test
 123 def condswap(k):
 124   x = k.rand(); y = k.rand(); m = mask()
 125   xx, yy = m and (+y, +x) or (+x, +y)
 126   print '  %s\n    %s\n    0x%08x\n    %s\n    %s;' % (x, y, m, xx, yy)
 127
 128 @test
 129 def sub_mulc_add_sub_mul(k):
 130   u = k.rand(); v = k.rand(); w = k.rand(); x = k.rand(); y = k.rand();
 131   a = C.rand.range(1 << 20) - (1 << 19)
 132   print '  %s\n    %s %d\n    %s\n    %s\n    %s\n    %s;' % \
 133       (u, v, a, w, x, y, ((u - v)*a + w)*(x - y))
 134
 135 k = FIELDS[argv[1]]
 136 for t in argv[2:]:
 137   print '%s {' % t
 138   for i in xrange(NTEST): TESTS[t](k)
 139   print '}'