#!/usr/bin/env python # -*- coding: utf-8 -*- """Humanizing functions for numbers.""" import math import re from fractions import Fraction from . import compat from .i18n import gettext as _ from .i18n import ngettext from .i18n import ngettext_noop as NS_ from .i18n import pgettext as P_ from .i18n import thousands_separator def ordinal(value): """Converts an integer to its ordinal as a string. For example, 1 is "1st", 2 is "2nd", 3 is "3rd", etc. Works for any integer or anything `int()` will turn into an integer. Anything other value will have nothing done to it. Examples: ```pycon >>> ordinal(1) '1st' >>> ordinal(1002) '1002nd' >>> ordinal(103) '103rd' >>> ordinal(4) '4th' >>> ordinal(12) '12th' >>> ordinal(101) '101st' >>> ordinal(111) '111th' >>> ordinal("something else") 'something else' >>> ordinal(None) is None True ``` Args: value (int, str, float): Integer to convert. Returns: str: Ordinal string. """ try: value = int(value) except (TypeError, ValueError): return value t = ( P_("0", "th"), P_("1", "st"), P_("2", "nd"), P_("3", "rd"), P_("4", "th"), P_("5", "th"), P_("6", "th"), P_("7", "th"), P_("8", "th"), P_("9", "th"), ) if value % 100 in (11, 12, 13): # special case return "%d%s" % (value, t[0]) return "%d%s" % (value, t[value % 10]) def intcomma(value, ndigits=None): """Converts an integer to a string containing commas every three digits. For example, 3000 becomes "3,000" and 45000 becomes "45,000". To maintain some compatibility with Django's `intcomma`, this function also accepts floats. Examples: ```pycon >>> intcomma(100) '100' >>> intcomma("1000") '1,000' >>> intcomma(1_000_000) '1,000,000' >>> intcomma(1_234_567.25) '1,234,567.25' >>> intcomma(1234.5454545, 2) '1,234.55' >>> intcomma(14308.40, 1) '14,308.4' >>> intcomma(None) is None True ``` Args: value (int, float, str): Integer or float to convert. ndigits (int, None): Digits of precision for rounding after the decimal point. Returns: str: string containing commas every three digits. """ sep = thousands_separator() try: if isinstance(value, compat.string_types): float(value.replace(sep, "")) else: float(value) except (TypeError, ValueError): return value if ndigits: orig = "{0:.{1}f}".format(value, ndigits) else: orig = str(value) new = re.sub(r"^(-?\d+)(\d{3})", r"\g<1>%s\g<2>" % sep, orig) if orig == new: return new else: return intcomma(new) powers = [10 ** x for x in (3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 100)] human_powers = ( NS_("thousand", "thousand"), NS_("million", "million"), NS_("billion", "billion"), NS_("trillion", "trillion"), NS_("quadrillion", "quadrillion"), NS_("quintillion", "quintillion"), NS_("sextillion", "sextillion"), NS_("septillion", "septillion"), NS_("octillion", "octillion"), NS_("nonillion", "nonillion"), NS_("decillion", "decillion"), NS_("googol", "googol"), ) def intword(value, format="%.1f"): """Converts a large integer to a friendly text representation. Works best for numbers over 1 million. For example, 1_000_000 becomes "1.0 million", 1200000 becomes "1.2 million" and "1_200_000_000" becomes "1.2 billion". Supports up to decillion (33 digits) and googol (100 digits). Examples: ```pycon >>> intword("100") '100' >>> intword("12400") '12.4 thousand' >>> intword("1000000") '1.0 million' >>> intword(1_200_000_000) '1.2 billion' >>> intword(8100000000000000000000000000000000) '8.1 decillion' >>> intword(None) is None True >>> intword("1234000", "%0.3f") '1.234 million' ``` Args: value (int, float, str): Integer to convert. format (str): To change the number of decimal or general format of the number portion. Returns: str: Friendly text representation as a string, unless the value passed could not be coaxed into an `int`. """ try: value = int(value) except (TypeError, ValueError): return value if value < powers[0]: return str(value) for ordinal, power in enumerate(powers[1:], 1): if value < power: chopped = value / float(powers[ordinal - 1]) if float(format % chopped) == float(10 ** 3): chopped = value / float(powers[ordinal]) singular, plural = human_powers[ordinal] return ( " ".join([format, ngettext(singular, plural, math.ceil(chopped))]) ) % chopped else: singular, plural = human_powers[ordinal - 1] return ( " ".join([format, ngettext(singular, plural, math.ceil(chopped))]) ) % chopped return str(value) def apnumber(value): """Converts an integer to Associated Press style. Examples: ```pycon >>> apnumber(0) 'zero' >>> apnumber(5) 'five' >>> apnumber(10) '10' >>> apnumber("7") 'seven' >>> apnumber("foo") 'foo' >>> apnumber(None) is None True ``` Args: value (int, float, str): Integer to convert. Returns: str: For numbers 0-9, the number spelled out. Otherwise, the number. This always returns a string unless the value was not `int`-able, unlike the Django filter. """ try: value = int(value) except (TypeError, ValueError): return value if not 0 <= value < 10: return str(value) return ( _("zero"), _("one"), _("two"), _("three"), _("four"), _("five"), _("six"), _("seven"), _("eight"), _("nine"), )[value] def fractional(value): """Convert to fractional number. There will be some cases where one might not want to show ugly decimal places for floats and decimals. This function returns a human-readable fractional number in form of fractions and mixed fractions. Pass in a string, or a number or a float, and this function returns: * a string representation of a fraction * or a whole number * or a mixed fraction Examples: ```pycon >>> fractional(0.3) '3/10' >>> fractional(1.3) '1 3/10' >>> fractional(float(1/3)) '1/3' >>> fractional(1) '1' >>> fractional("ten") 'ten' >>> fractional(None) is None True ``` Args: value (int, float, str): Integer to convert. Returns: str: Fractional number as a string. """ try: number = float(value) except (TypeError, ValueError): return value whole_number = int(number) frac = Fraction(number - whole_number).limit_denominator(1000) numerator = frac._numerator denominator = frac._denominator if whole_number and not numerator and denominator == 1: # this means that an integer was passed in # (or variants of that integer like 1.0000) return "%.0f" % whole_number elif not whole_number: return "{:.0f}/{:.0f}".format(numerator, denominator) else: return "{:.0f} {:.0f}/{:.0f}".format(whole_number, numerator, denominator) def scientific(value, precision=2): """Return number in string scientific notation z.wq x 10ⁿ. Examples: ```pycon >>> scientific(float(0.3)) '3.00 x 10⁻¹' >>> scientific(int(500)) '5.00 x 10²' >>> scientific(-1000) '1.00 x 10⁻³' >>> scientific(1000, 1) '1.0 x 10³' >>> scientific(1000, 3) '1.000 x 10³' >>> scientific("99") '9.90 x 10¹' >>> scientific("foo") 'foo' >>> scientific(None) is None True ``` Args: value (int, float, str): Input number. precision (int): Number of decimal for first part of the number. Returns: str: Number in scientific notation z.wq x 10ⁿ. """ exponents = { "0": "⁰", "1": "¹", "2": "²", "3": "³", "4": "⁴", "5": "⁵", "6": "⁶", "7": "⁷", "8": "⁸", "9": "⁹", "+": "⁺", "-": "⁻", } negative = False try: if "-" in str(value): value = str(value).replace("-", "") negative = True if isinstance(value, compat.string_types): value = float(value) fmt = "{:.%se}" % str(int(precision)) n = fmt.format(value) except (ValueError, TypeError): return value part1, part2 = n.split("e") if "-0" in part2: part2 = part2.replace("-0", "-") if "+0" in part2: part2 = part2.replace("+0", "") new_part2 = [] if negative: new_part2.append(exponents["-"]) for char in part2: new_part2.append(exponents[char]) final_str = part1 + " x 10" + "".join(new_part2) return final_str def clamp(value, format="{:}", floor=None, ceil=None, floor_token="<", ceil_token=">"): """Returns number with the specified format, clamped between floor and ceil. If the number is larger than ceil or smaller than floor, then the respective limit will be returned, formatted and prepended with a token specifying as such. Examples: ```pycon >>> clamp(123.456) '123.456' >>> clamp(0.0001, floor=0.01) '<0.01' >>> clamp(0.99, format="{:.0%}", ceil=0.99) '99%' >>> clamp(0.999, format="{:.0%}", ceil=0.99) '>99%' >>> clamp(1, format=intword, floor=1e6, floor_token="under ") 'under 1.0 million' >>> clamp(None) is None True ``` Args: value (int, float): Input number. format (str OR callable): Can either be a formatting string, or a callable function than receives value and returns a string. floor (int, float): Smallest value before clamping. ceil (int, float): Largest value before clamping. floor_token (str): If value is smaller than floor, token will be prepended to output. ceil_token (str): If value is larger than ceil, token will be prepended to output. Returns: str: Formatted number. The output is clamped between the indicated floor and ceil. If the number if larger than ceil or smaller than floor, the output will be prepended with a token indicating as such. """ if value is None: return None if floor is not None and value < floor: value = floor token = floor_token elif ceil is not None and value > ceil: value = ceil token = ceil_token else: token = "" if isinstance(format, compat.string_types): return token + format.format(value) elif callable(format): return token + format(value) else: raise ValueError( "Invalid format. Must be either a valid formatting string, or a function " "that accepts value and returns a string." )