def getCohrenValue(size_of_selections, qty_of_selections, significance):
size_of_selections += 1
partResult1 = significance / (size_of_selections - 1)
params = [
partResult1, qty_of_selections,
(size_of_selections - 1 - 1) * qty_of_selections
]
fisher = f.isf(*params)
result = fisher / (fisher + (size_of_selections - 1 - 1))
return _pydecimal.Decimal(result).quantize(
_pydecimal.Decimal('.0001')).__float__()
def check_fillchar(i):
try:
c = chr(i)
c.encode('utf-8').decode()
format(P.Decimal(0), c + '<19g')
return c
except:
return None
def p_from_triple(triple):
sign, coeff, exp = triple
if coeff < 0 or coeff >= 2**128:
raise ValueError("value out of bounds for a uint128 triple")
digits = tuple(int(c) for c in str(coeff))
return P.Decimal((sign, digits, exp))
def printit(testno, s, fmt, encoding=None):
if not encoding:
encoding = get_preferred_encoding()
try:
result = format(P.Decimal(s), fmt)
fmt = str(fmt.encode(encoding))[2:-1]
result = str(result.encode(encoding))[2:-1]
if "'" in result:
sys.stdout.write("xfmt%d format %s '%s' -> \"%s\"\n"
% (testno, s, fmt, result))
else:
sys.stdout.write("xfmt%d format %s '%s' -> '%s'\n"
% (testno, s, fmt, result))
except Exception as err:
sys.stderr.write("%s %s %s\n" % (err, s, fmt))
def check_ulpdiff(self, exact, rounded):
# current precision
p = context.p.prec
# Convert infinities to the largest representable number + 1.
x = exact
if exact.is_infinite():
x = _dec_from_triple(exact._sign, '10', context.p.Emax)
y = rounded
if rounded.is_infinite():
y = _dec_from_triple(rounded._sign, '10', context.p.Emax)
# err = (rounded - exact) / ulp(rounded)
self.maxctx.prec = p * 2
t = self.maxctx.subtract(y, x)
if context.c.flags[C.Clamped] or \
context.c.flags[C.Underflow]:
# The standard ulp does not work in Underflow territory.
ulp = self.harrison_ulp(y)
else:
ulp = self.standard_ulp(y, p)
# Error in ulps.
err = self.maxctx.divide(t, ulp)
dir = self.rounding_direction(x, context.p.rounding)
if dir == 0:
if P.Decimal("-0.6") < err < P.Decimal("0.6"):
return True
elif dir == 1: # directed, upwards
if P.Decimal("-0.1") < err < P.Decimal("1.1"):
return True
elif dir == -1: # directed, downwards
if P.Decimal("-1.1") < err < P.Decimal("0.1"):
return True
else: # ROUND_05UP
if P.Decimal("-1.1") < err < P.Decimal("1.1"):
return True
print("ulp: %s error: %s exact: %s c_rounded: %s" %
(ulp, err, exact, rounded))
return False
def bin_resolve_ulp(self, t):
"""Check if results of _decimal's power function are within the
allowed ulp ranges."""
# NaNs are beyond repair.
if t.rc.is_nan() or t.rp.is_nan():
return False
# "exact" result, double precision, half_even
self.maxctx.prec = context.p.prec * 2
op1, op2 = t.pop[0], t.pop[1]
if t.contextfunc:
exact = getattr(self.maxctx, t.funcname)(op1, op2)
else:
exact = getattr(op1, t.funcname)(op2, context=self.maxctx)
# _decimal's rounded result
rounded = P.Decimal(t.cresults[0])
self.ulpdiff += 1
return self.check_ulpdiff(exact, rounded)
def rounding_direction(self, x, mode):
"""Determine the effective direction of the rounding when
the exact result x is rounded according to mode.
Return -1 for downwards, 0 for undirected, 1 for upwards,
2 for ROUND_05UP."""
cmp = 1 if x.compare_total(P.Decimal("+0")) >= 0 else -1
if mode in (P.ROUND_HALF_EVEN, P.ROUND_HALF_UP, P.ROUND_HALF_DOWN):
return 0
elif mode == P.ROUND_CEILING:
return 1
elif mode == P.ROUND_FLOOR:
return -1
elif mode == P.ROUND_UP:
return cmp
elif mode == P.ROUND_DOWN:
return -cmp
elif mode == P.ROUND_05UP:
return 2
else:
raise ValueError("Unexpected rounding mode: %s" % mode)
def fuzz():
with open(sys.argv[1], errors="surrogateescape") as fp:
data = fp.read()
try:
dp = decimal_py.Decimal(data)
dc = decimal_c.Decimal(data)
except ValueError:
return
except ZeroDivisionError:
return
except (decimal_py.InvalidOperation, decimal_c.InvalidOperation):
return
assert repr(dp) == repr(dc)
assert dp.is_canonical() == dc.is_canonical()
assert dp.is_finite() == dc.is_finite()
assert dp.is_infinite() == dc.is_infinite()
assert dp.is_nan() == dc.is_nan()
assert dp.is_normal() == dc.is_normal()
assert dp.is_snan() == dc.is_snan()
assert dp.is_qnan() == dc.is_qnan()
assert dp.is_signed() == dc.is_signed()
assert dp.is_subnormal() == dc.is_subnormal()
assert dp.is_zero() == dc.is_zero()
try:
assert repr(dp + dp) == repr(dc + dc)
assert repr(dp - dp) == repr(dc - dc)
assert repr(dp * dp) == repr(dc * dc)
assert repr(dp.adjusted()) == repr(dc.adjusted())
assert repr(dp.as_tuple()) == repr(dc.as_tuple())
assert repr(dp.canonical()) == repr(dc.canonical())
assert repr(dp.compare(dp)) == repr(dc.compare(dc))
assert repr(dp.conjugate()) == repr(dc.conjugate())
assert repr(dp.copy_abs()) == repr(dc.copy_abs())
assert repr(dp.copy_negate()) == repr(dc.copy_negate())
assert repr(dp.copy_sign(dp)) == repr(dc.copy_sign(dc))
assert repr(dp.exp()) == repr(dc.exp())
assert repr(dp.fma(1, 1)) == repr(dc.fma(1, 1))
assert repr(dp.ln()) == repr(dc.ln())
assert repr(dp.log10()) == repr(dc.log10())
assert repr(dp.logb()) == repr(dc.logb())
assert repr(dp.logical_and(dp)) == repr(dc.logical_and(dc))
assert repr(dp.logical_invert()) == repr(dc.logical_invert())
assert repr(dp.logical_or(dp)) == repr(dc.logical_or(dc))
assert repr(dp.logical_xor(dp)) == repr(dc.logical_xor(dc))
assert repr(dp.max(dp)) == repr(dc.max(dc))
assert repr(dp.max_mag(dp)) == repr(dc.max_mag(dc))
assert repr(dp.min(dp)) == repr(dc.min(dc))
assert repr(dp.min_mag(dp)) == repr(dc.min_mag(dc))
assert repr(dp.next_minus()) == repr(dc.next_minus())
assert repr(dp.next_plus()) == repr(dc.next_plus())
assert repr(dp.next_toward(dp)) == repr(dc.next_toward(dc))
assert repr(dp.normalize()) == repr(dc.normalize())
assert repr(dp.number_class()) == repr(dc.number_class())
assert repr(dp.quantize(dp)) == repr(dc.quantize(dc))
assert repr(dp.radix()) == repr(dc.radix())
assert repr(dp.remainder_near(dp)) == repr(dc.remainder_near(dc))
assert repr(dp.rotate(dp)) == repr(dc.rotate(dc))
assert repr(dp.same_quantum(dp)) == repr(dc.same_quantum(dc))
assert repr(dp.scaleb(dp)) == repr(dc.scaleb(dc))
assert repr(dp.shift(dp)) == repr(dc.shift(dc))
assert repr(dp.sqrt()) == repr(dc.sqrt())
assert repr(dp.to_eng_string()) == repr(dc.to_eng_string())
assert repr(dp.to_integral()) == repr(dc.to_integral())
assert repr(dp.to_integral_exact()) == repr(dc.to_integral_exact())
assert repr(dp.to_integral_value()) == repr(dc.to_integral_value())
try:
assert repr(dp.as_integer_ratio()) == repr(dc.as_integer_ratio())
assert repr(round(dp, 1)) == repr(round(dc, 1))
assert repr(float(dp)) == repr(float(dc))
assert repr(int(dp)) == repr(int(dc))
assert repr(math.floor(dp)) == repr(math.floor(dc))
assert repr(math.ceil(dp)) == repr(math.ceil(dc))
except OverflowError:
pass
except ValueError:
pass
except decimal_py.DecimalException:
pass
def getFisherValue(f3, f4, significance):
return _pydecimal.Decimal(abs(f.isf(significance, f4, f3))).quantize(
_pydecimal.Decimal('.0001')).__float__()
def getStudentValue(f3, significance):
return _pydecimal.Decimal(abs(t.ppf(significance / 2, f3))).quantize(
_pydecimal.Decimal('.0001')).__float__()