Functions for converting dates to/from JD and MJD

jdutil.py

"""
Functions for converting dates to/from JD and MJD. Assumes dates are historical
dates, including the transition from the Julian calendar to the Gregorian
calendar in 1582. No support for proleptic Gregorian/Julian calendars.

:Author: Matt Davis
:Website: http://github.com/jiffyclub

"""

import math
import datetime as dt

# Note: The Python datetime module assumes an infinitely valid Gregorian calendar.
#       The Gregorian calendar took effect after 10-15-1582 and the dates 10-05 through
#       10-14-1582 never occurred. Python datetime objects will produce incorrect
#       time deltas if one date is from before 10-15-1582.

def mjd_to_jd(mjd):
    """
    Convert Modified Julian Day to Julian Day.
        
    Parameters
    ----------
    mjd : float
        Modified Julian Day
        
    Returns
    -------
    jd : float
        Julian Day
    
        
    """
    return mjd + 2400000.5

    
def jd_to_mjd(jd):
    """
    Convert Julian Day to Modified Julian Day
    
    Parameters
    ----------
    jd : float
        Julian Day
        
    Returns
    -------
    mjd : float
        Modified Julian Day
    
    """
    return jd - 2400000.5

    
def date_to_jd(year,month,day):
    """
    Convert a date to Julian Day.
    
    Algorithm from 'Practical Astronomy with your Calculator or Spreadsheet', 
        4th ed., Duffet-Smith and Zwart, 2011.
    
    Parameters
    ----------
    year : int
        Year as integer. Years preceding 1 A.D. should be 0 or negative.
        The year before 1 A.D. is 0, 10 B.C. is year -9.
        
    month : int
        Month as integer, Jan = 1, Feb. = 2, etc.
    
    day : float
        Day, may contain fractional part.
    
    Returns
    -------
    jd : float
        Julian Day
        
    Examples
    --------
    Convert 6 a.m., February 17, 1985 to Julian Day
    
    >>> date_to_jd(1985,2,17.25)
    2446113.75
    
    """
    if month == 1 or month == 2:
        yearp = year - 1
        monthp = month + 12
    else:
        yearp = year
        monthp = month
    
    # this checks where we are in relation to October 15, 1582, the beginning
    # of the Gregorian calendar.
    if ((year < 1582) or
        (year == 1582 and month < 10) or
        (year == 1582 and month == 10 and day < 15)):
        # before start of Gregorian calendar
        B = 0
    else:
        # after start of Gregorian calendar
        A = math.trunc(yearp / 100.)
        B = 2 - A + math.trunc(A / 4.)
        
    if yearp < 0:
        C = math.trunc((365.25 * yearp) - 0.75)
    else:
        C = math.trunc(365.25 * yearp)
        
    D = math.trunc(30.6001 * (monthp + 1))
    
    jd = B + C + D + day + 1720994.5
    
    return jd
    
    
def jd_to_date(jd):
    """
    Convert Julian Day to date.
    
    Algorithm from 'Practical Astronomy with your Calculator or Spreadsheet', 
        4th ed., Duffet-Smith and Zwart, 2011.
    
    Parameters
    ----------
    jd : float
        Julian Day
        
    Returns
    -------
    year : int
        Year as integer. Years preceding 1 A.D. should be 0 or negative.
        The year before 1 A.D. is 0, 10 B.C. is year -9.
        
    month : int
        Month as integer, Jan = 1, Feb. = 2, etc.
    
    day : float
        Day, may contain fractional part.
        
    Examples
    --------
    Convert Julian Day 2446113.75 to year, month, and day.
    
    >>> jd_to_date(2446113.75)
    (1985, 2, 17.25)
    
    """
    jd = jd + 0.5
    
    F, I = math.modf(jd)
    I = int(I)
    
    A = math.trunc((I - 1867216.25)/36524.25)
    
    if I > 2299160:
        B = I + 1 + A - math.trunc(A / 4.)
    else:
        B = I
        
    C = B + 1524
    
    D = math.trunc((C - 122.1) / 365.25)
    
    E = math.trunc(365.25 * D)
    
    G = math.trunc((C - E) / 30.6001)
    
    day = C - E + F - math.trunc(30.6001 * G)
    
    if G < 13.5:
        month = G - 1
    else:
        month = G - 13
        
    if month > 2.5:
        year = D - 4716
    else:
        year = D - 4715
        
    return year, month, day
    
    
def hmsm_to_days(hour=0,min=0,sec=0,micro=0):
    """
    Convert hours, minutes, seconds, and microseconds to fractional days.
    
    Parameters
    ----------
    hour : int, optional
        Hour number. Defaults to 0.
    
    min : int, optional
        Minute number. Defaults to 0.
    
    sec : int, optional
        Second number. Defaults to 0.
    
    micro : int, optional
        Microsecond number. Defaults to 0.
        
    Returns
    -------
    days : float
        Fractional days.
        
    Examples
    --------
    >>> hmsm_to_days(hour=6)
    0.25
    
    """
    days = sec + (micro / 1.e6)
    
    days = min + (days / 60.)
    
    days = hour + (days / 60.)
    
    return days / 24.
    
    
def days_to_hmsm(days):
    """
    Convert fractional days to hours, minutes, seconds, and microseconds.
    Precision beyond microseconds is rounded to the nearest microsecond.
    
    Parameters
    ----------
    days : float
        A fractional number of days. Must be less than 1.
        
    Returns
    -------
    hour : int
        Hour number.
    
    min : int
        Minute number.
    
    sec : int
        Second number.
    
    micro : int
        Microsecond number.
        
    Raises
    ------
    ValueError
        If `days` is >= 1.
        
    Examples
    --------
    >>> days_to_hmsm(0.1)
    (2, 24, 0, 0)
    
    """
    hours = days * 24.
    hours, hour = math.modf(hours)
    
    mins = hours * 60.
    mins, min = math.modf(mins)
    
    secs = mins * 60.
    secs, sec = math.modf(secs)
    
    micro = round(secs * 1.e6)
    
    return int(hour), int(min), int(sec), int(micro)
    

def datetime_to_jd(date):
    """
    Convert a `datetime.datetime` object to Julian Day.
    
    Parameters
    ----------
    date : `datetime.datetime` instance
    
    Returns
    -------
    jd : float
        Julian day.
        
    Examples
    --------
    >>> d = datetime.datetime(1985,2,17,6)  
    >>> d
    datetime.datetime(1985, 2, 17, 6, 0)
    >>> jdutil.datetime_to_jd(d)
    2446113.75
    
    """
    days = date.day + hmsm_to_days(date.hour,date.minute,date.second,date.microsecond)
    
    return date_to_jd(date.year,date.month,days)
    
    
def jd_to_datetime(jd):
    """
    Convert a Julian Day to an `jdutil.datetime` object.
    
    Parameters
    ----------
    jd : float
        Julian day.
        
    Returns
    -------
    dt : `jdutil.datetime` object
        `jdutil.datetime` equivalent of Julian day.
    
    Examples
    --------
    >>> jd_to_datetime(2446113.75)
    datetime(1985, 2, 17, 6, 0)
    
    """
    year, month, day = jd_to_date(jd)
    
    frac_days,day = math.modf(day)
    day = int(day)
    
    hour,min,sec,micro = days_to_hmsm(frac_days)
    
    return datetime(year,month,day,hour,min,sec,micro)


def timedelta_to_days(td):
    """
    Convert a `datetime.timedelta` object to a total number of days.
    
    Parameters
    ----------
    td : `datetime.timedelta` instance
    
    Returns
    -------
    days : float
        Total number of days in the `datetime.timedelta` object.
        
    Examples
    --------
    >>> td = datetime.timedelta(4.5)
    >>> td
    datetime.timedelta(4, 43200)
    >>> timedelta_to_days(td)
    4.5
    
    """
    seconds_in_day = 24. * 3600.
    
    days = td.days + (td.seconds + (td.microseconds * 10.e6)) / seconds_in_day
    
    return days
    
    
class datetime(dt.datetime):
    """
    A subclass of `datetime.datetime` that performs math operations by first
    converting to Julian Day, then back to a `jdutil.datetime` object.
    
    Addition works with `datetime.timedelta` objects, subtraction works with
    `datetime.timedelta`, `datetime.datetime`, and `jdutil.datetime` objects.
    Not all combinations work in all directions, e.g.
    `timedelta - datetime` is meaningless.
    
    See Also
    --------
    datetime.datetime : Parent class.
    
    """
    def __add__(self,other):
        if not isinstance(other,dt.timedelta):
            s = "jdutil.datetime supports '+' only with datetime.timedelta"
            raise TypeError(s)
        
        days = timedelta_to_days(other)
        
        combined = datetime_to_jd(self) + days
        
        return jd_to_datetime(combined)
        
    def __radd__(self,other):
        if not isinstance(other,dt.timedelta):
            s = "jdutil.datetime supports '+' only with datetime.timedelta"
            raise TypeError(s)
        
        days = timedelta_to_days(other)
        
        combined = datetime_to_jd(self) + days
        
        return jd_to_datetime(combined)
        
    def __sub__(self,other):
        if isinstance(other,dt.timedelta):
            days = timedelta_to_days(other)
            
            combined = datetime_to_jd(self) - days
            
            return jd_to_datetime(combined)
            
        elif isinstance(other, (datetime,dt.datetime)):
            diff = datetime_to_jd(self) - datetime_to_jd(other)
            
            return dt.timedelta(diff)
            
        else:
            s = "jdutil.datetime supports '-' with: "
            s += "datetime.timedelta, jdutil.datetime and datetime.datetime"
            raise TypeError(s)
            
    def __rsub__(self,other):
        if not isinstance(other, (datetime,dt.datetime)):
            s = "jdutil.datetime supports '-' with: "
            s += "jdutil.datetime and datetime.datetime"
            raise TypeError(s)
            
        diff = datetime_to_jd(other) - datetime_to_jd(self)
            
        return dt.timedelta(diff)
        
    def to_jd(self):
        """
        Return the date converted to Julian Day.
        
        """
        return datetime_to_jd(self)
        
    def to_mjd(self):
        """
        Return the date converted to Modified Julian Day.
        
        """
        return jd_to_mjd(self.to_jd())
    

ntpdatehelpers.py

from datetime import datetime, timedelta

from jdutil import mjd_to_jd, jd_to_date


def mjd_and_seconds_to_datetime(mjd, seconds):
    """Convert given Modified Julian Day and relative seconds to a datetime.datetime instance.
    
    The input values are the format of dates used in NTP loopstats and peerstats files.
    Seconds are seconds and fraction past UTC midnight as a float.
  
    """
    year, month, day = jd_to_date(mjd_to_jd(mjd))
    return (datetime(year, month, int(day)) + timedelta(seconds=seconds))