def format_float_scientific(expr, digits_before, decimals, force_dot):
""" Put a float in scientific format. """
work_digits = digits_before + decimals
if work_digits > expr.digits:
# decimal precision of the type
work_digits = expr.digits
if expr.is_zero():
if not force_dot:
if expr.exp_sign == 'E':
return 'E+00'
return '0D+00' # matches GW output. odd, odd, odd
digitstr, exp10 = '0'*(digits_before+decimals), 0
else:
if work_digits > 0:
# scientific representation
lim_bot = just_under(pow_int(expr.ten, work_digits-1))
else:
# special case when work_digits == 0, see also below
# setting to 0.1 results in incorrect rounding (why?)
lim_bot = expr.one.copy()
lim_top = lim_bot.copy().imul10()
num, exp10 = expr.bring_to_range(lim_bot, lim_top)
digitstr = get_digits(num, work_digits)
if len(digitstr) < digits_before + decimals:
digitstr += '0' * (digits_before + decimals - len(digitstr))
# this is just to reproduce GW results for no digits:
# e.g. PRINT USING "#^^^^";1 gives " E+01" not " E+00"
if work_digits == 0:
exp10 += 1
exp10 += digits_before + decimals - 1
return scientific_notation(digitstr, exp10, expr.exp_sign, digits_to_dot=digits_before, force_dot=force_dot)
def format_float_scientific(expr, digits_before, decimals, force_dot):
""" Put a float in scientific format. """
work_digits = digits_before + decimals
if work_digits > expr.digits:
# decimal precision of the type
work_digits = expr.digits
if expr.is_zero():
if not force_dot:
if expr.exp_sign == 'E':
return 'E+00'
return '0D+00' # matches GW output. odd, odd, odd
digitstr, exp10 = '0' * (digits_before + decimals), 0
else:
if work_digits > 0:
# scientific representation
lim_bot = just_under(pow_int(expr.ten, work_digits - 1))
else:
# special case when work_digits == 0, see also below
# setting to 0.1 results in incorrect rounding (why?)
lim_bot = expr.one.copy()
lim_top = lim_bot.copy().imul10()
num, exp10 = expr.bring_to_range(lim_bot, lim_top)
digitstr = get_digits(num, work_digits)
if len(digitstr) < digits_before + decimals:
digitstr += '0' * (digits_before + decimals - len(digitstr))
# this is just to reproduce GW results for no digits:
# e.g. PRINT USING "#^^^^";1 gives " E+01" not " E+00"
if work_digits == 0:
exp10 += 1
exp10 += digits_before + decimals - 1
return scientific_notation(digitstr,
exp10,
expr.exp_sign,
digits_to_dot=digits_before,
force_dot=force_dot)
def format_float_fixed(expr, decimals, force_dot):
""" Put a float in fixed-point representation. """
unrounded = mul(expr, pow_int(expr.ten, decimals)) # expr * 10**decimals
num = unrounded.copy().iround()
# find exponent
exp10 = 1
pow10 = pow_int(expr.ten, exp10) # pow10 = 10L**exp10
while num.gt(pow10) or num.equals(pow10): # while pow10 <= num:
pow10.imul10() # pow10 *= 10
exp10 += 1
work_digits = exp10 + 1
diff = 0
if exp10 > expr.digits:
diff = exp10 - expr.digits
num = div(unrounded, pow_int(expr.ten, diff)).iround() # unrounded / 10**diff
work_digits -= diff
num = num.trunc_to_int()
# argument work_digits-1 means we're getting work_digits==exp10+1-diff digits
# fill up with zeros
digitstr = get_digits(num, work_digits-1, remove_trailing=False) + ('0' * diff)
return decimal_notation(digitstr, work_digits-1-1-decimals+diff, '', force_dot)
def format_float_fixed(expr, decimals, force_dot):
""" Put a float in fixed-point representation. """
unrounded = mul(expr, pow_int(expr.ten, decimals)) # expr * 10**decimals
num = unrounded.copy().iround()
# find exponent
exp10 = 1
pow10 = pow_int(expr.ten, exp10) # pow10 = 10L**exp10
while num.gt(pow10) or num.equals(pow10): # while pow10 <= num:
pow10.imul10() # pow10 *= 10
exp10 += 1
work_digits = exp10 + 1
diff = 0
if exp10 > expr.digits:
diff = exp10 - expr.digits
num = div(unrounded, pow_int(expr.ten,
diff)).iround() # unrounded / 10**diff
work_digits -= diff
num = num.trunc_to_int()
# argument work_digits-1 means we're getting work_digits==exp10+1-diff digits
# fill up with zeros
digitstr = get_digits(num, work_digits - 1,
remove_trailing=False) + ('0' * diff)
return decimal_notation(digitstr, work_digits - 1 - 1 - decimals + diff,
'', force_dot)