def display_float(x,
digits,
method="truncate",
extra_truncation_digits=3,
try_halfinteger=True,
no_sci=None,
latex=False):
if abs(x) < 10.**(-digits - extra_truncation_digits):
return "0"
# if small, try to display it as an exact or half integer
if try_halfinteger and abs(x) < 10.**digits:
if is_exact(x):
s = str(x)
if len(s) < digits + 2: # 2 = '/' + '-'
return str(x)
k = round_to_half_int(x)
if k == x:
k2 = None
try:
k2 = ZZ(2 * x)
except TypeError:
pass
# the second statement checks for overflow
if k2 == 2 * x and (2 * x + 1) - k2 == 1:
if k2 % 2 == 0:
s = '%s' % (k2 / 2)
else:
s = '%s' % (float(k2) / 2)
return s
if method == 'truncate':
rnd = 'RNDZ'
else:
rnd = 'RNDN'
if no_sci is None:
no_sci = 'e' not in "%.{}g".format(digits) % float(x)
try:
s = RealField(max(53, 4 * digits), rnd=rnd)(x).str(digits=digits,
no_sci=no_sci)
except TypeError:
# older versions of Sage don't support the digits keyword
s = RealField(max(53, 4 * digits), rnd=rnd)(x).str(no_sci=no_sci)
point = s.find('.')
if point != -1:
if point < digits:
s = s[:digits + 1]
else:
s = s[:point]
if latex and "e" in s:
s = s.replace("e", r"\times 10^{") + "}"
return s
def display_float(x, digits, method = "truncate",
extra_truncation_digits=3,
try_halfinteger=True):
if abs(x) < 10.**(- digits - extra_truncation_digits):
return "0"
# if small, try to display it as an exact or half integer
if try_halfinteger and abs(x) < 10.**digits:
if is_exact(x):
s = str(x)
if len(s) < digits + 2: # 2 = '/' + '-'
return str(x)
k = round_to_half_int(x)
if k == x :
k2 = None
try:
k2 = ZZ(2*x)
except TypeError:
pass
# the second statment checks for overflow
if k2 == 2*x and (2*x + 1) - k2 == 1:
if k2 % 2 == 0:
s = '%s' % (k2/2)
else:
s = '%s' % (float(k2)/2)
return s
if method == 'truncate':
rnd = 'RNDZ'
else:
rnd = 'RNDN'
no_sci = 'e' not in "%.{}g".format(digits) % float(x)
try:
s = RealField(max(53,4*digits), rnd=rnd)(x).str(digits=digits, no_sci=no_sci)
except TypeError:
# older versions of Sage don't support the digits keyword
s = RealField(max(53,4*digits), rnd=rnd)(x).str(no_sci=no_sci)
point = s.find('.')
if point != -1:
if point < digits:
s = s[:digits+1]
else:
s = s[:point]
return s
def display_float(x, digits, method="truncate", extra_truncation_digits=3):
if is_exact(x):
return '%s' % x
if abs(x) < 10.**(-digits - extra_truncation_digits):
return "0"
k = round_to_half_int(x)
if k == x:
k2 = None
try:
k2 = ZZ(2 * x)
except TypeError:
pass
# the second statment checks for overflow
if k2 == 2 * x and (2 * x + 1) - k2 == 1:
if k2 % 2 == 0:
s = '%s' % (k2 / 2)
else:
s = '%s' % (float(k2) / 2)
return s
if method == 'truncate':
rnd = 'RNDZ'
else:
rnd = 'RNDN'
no_sci = 'e' not in "%.{}g".format(digits) % float(x)
try:
s = RealField(max(53, 4 * digits), rnd=rnd)(x).str(digits=digits,
no_sci=no_sci)
except TypeError:
# older versions of Sage don't support the digits keyword
s = RealField(max(53, 4 * digits), rnd=rnd)(x).str(no_sci=no_sci)
point = s.find('.')
if point != -1:
if point < digits:
s = s[:digits + 1]
else:
s = s[:point]
return s
