def time_to_mjd_string(t, prec=15):
"""Print an MJD time with lots of digits (number is 'prec').
astropy does not seem to provide this capability (yet?).
"""
if t.format == 'pulsar_mjd':
(imjd, fmjd) = day_frac(t.jd1 - DJM0, t.jd2)
imjd = int(imjd)
if fmjd < 0.0:
imjd -= 1
y, mo, d, hmsf = d2dtf('UTC', 9, t.jd1, t.jd2)
if hmsf[0].size == 1:
hmsf = np.array([list(hmsf)])
fmjd = (hmsf[..., 0] / 24.0 + hmsf[..., 1] / 1440.0 +
hmsf[..., 2] / 86400.0 + hmsf[..., 3] / 86400.0e9)
else:
(imjd, fmjd) = day_frac(t.jd1 - DJM0, t.jd2)
imjd = int(imjd)
assert np.fabs(fmjd) < 2.0
while fmjd >= 1.0:
imjd += 1
fmjd -= 1.0
while fmjd < 0.0:
imjd -= 1
fmjd += 1.0
fmt = "%." + "%sf" % prec
return str(imjd) + (fmt % fmjd)[1:]
def time_to_mjd_string(t, prec=15):
"""Print an MJD time with lots of digits (number is 'prec').
astropy does not seem to provide this capability (yet?).
"""
if t.format == 'pulsar_mjd':
(imjd, fmjd) = day_frac(t.jd1 - DJM0, t.jd2)
imjd = int(imjd)
if fmjd<0.0:
imjd -= 1
y, mo, d, hmsf = d2dtf('UTC',9,t.jd1,t.jd2)
fmjd = (hmsf[...,0]/24.0 + hmsf[...,1]/1440.0
+ hmsf[...,2]/86400.0 + hmsf[...,3]/86400.0e9)
else:
(imjd, fmjd) = day_frac(t.jd1 - DJM0, t.jd2)
imjd = int(imjd)
assert np.fabs(fmjd) < 2.0
if fmjd >= 1.0:
imjd += 1
fmjd -= 1.0
if fmjd < 0.0:
imjd -= 1
fmjd += 1.0
fmt = "%." + "%sf" % prec
return str(imjd) + (fmt % fmjd)[1:]
def test_day_frac_harmless():
with decimal.localcontext(decimal.Context(prec=40)):
i, f = 65536, 3.637978807091714e-12
a = Decimal(i) + Decimal(f)
i_d, f_d = day_frac(i, f)
a_d = Decimal(i_d) + Decimal(f_d)
assert (abs(a - a_d) * u.day).to(u.ns) < 1 * u.ns
def set_jds(self, val1, val2):
self._check_scale(self._scale)
if self._scale == 'utc':
# To get around leap second issues, first convert to YMD,
# then back to astropy/ERFA-convention jd1,jd2 using the
# ERFA dtf2d() routine which handles leap seconds.
v1, v2 = day_frac(val1, val2)
(y,mo,d,f) = erfa.jd2cal(erfa.DJM0+v1,v2)
# Fractional day to HMS. Uses 86400-second day always.
# Seems like there should be a ERFA routine for this..
h = numpy.floor(f*24.0)
m = numpy.floor(numpy.remainder(f*1440.0,60))
s = numpy.remainder(f*86400.0,60)
self.jd1, self.jd2 = erfa.dtf2d('UTC',y,mo,d,h,m,s)
else:
self.jd1, self.jd2 = day_frac(val1, val2)
self.jd1 += erfa.DJM0
def set_jds(self, val1, val2):
self._check_scale(self._scale)
if self._scale == 'utc':
# To get around leap second issues, first convert to YMD,
# then back to astropy/ERFA-convention jd1,jd2 using the
# ERFA dtf2d() routine which handles leap seconds.
v1, v2 = day_frac(val1, val2)
(y, mo, d, f) = erfa.jd2cal(erfa.DJM0 + v1, v2)
# Fractional day to HMS. Uses 86400-second day always.
# Seems like there should be a ERFA routine for this..
h = numpy.floor(f * 24.0)
m = numpy.floor(numpy.remainder(f * 1440.0, 60))
s = numpy.remainder(f * 86400.0, 60)
self.jd1, self.jd2 = erfa.dtf2d('UTC', y, mo, d, h, m, s)
else:
self.jd1, self.jd2 = day_frac(val1, val2)
self.jd1 += erfa.DJM0
def from_angles(cls, phase1, phase2=None, factor=None, divisor=None,
out=None):
"""Create a Phase instance from two angles.
The two angles will be added, and possibly multiplied by a factor or
divided by a divisor, preserving precision using two doubles, one for
the integer part and one for the remainder.
Note that this class method is mostly meant for internal use.
Parameters
----------
phase1 : `~astropy.units.Quantity`
With angular units.
phase2 : `~astropy.units.Quantity` or `None`
With angular units.
factor : float or complex
Posisble factor to multiply the angles with.
divisor : float or complex
Posisble divisor to divide the angles by.
Raises
------
ValueError
If the result is not purely real or purely imaginary
"""
phase1, imaginary = check_imaginary(phase1)
if phase2 is not None:
phase2, im2 = check_imaginary(phase2)
if im2 is not imaginary:
raise ValueError("phase1 and phase2 must either be both "
"real or both imaginary.")
if factor is not None:
factor, imf = check_imaginary(factor)
imaginary ^= imf
if divisor is not None:
divisor, imd = check_imaginary(divisor)
if imd and not imaginary:
divisor = -divisor
imaginary ^= imd
# TODO: would be nice if day_frac had an out parameter.
phase1_value = phase1.to_value(cls._unit)
if phase2 is None:
phase2_value = 0.
else:
phase2_value = phase2.to_value(cls._unit)
count, fraction = day_frac(phase1_value, phase2_value,
factor=factor, divisor=divisor)
if out is None:
value = np.empty(count.shape, cls._phase_dtype)
out = value.view(cls)
else:
value = out.view(np.ndarray)
value['int'] = count
value['frac'] = fraction
out.imaginary = imaginary
return out
def test_day_frac_round_to_even(jd1, jd2):
t_jd1, t_jd2 = day_frac(jd1, jd2)
assert (abs(t_jd2) == 0.5) and (t_jd1 % 2 == 0)
def test_day_frac_always_less_than_half(jds):
jd1, jd2 = jds
t_jd1, t_jd2 = day_frac(jd1, jd2)
assert np.all(t_jd1 % 1 == 0)
assert np.all(abs(t_jd2) <= 0.5)
assert np.all((abs(t_jd2) < 0.5) | (t_jd1 % 2 == 0))
def test_mjd_initialization_precise(i, f):
t = Time(val=i, val2=f, format="mjd", scale="tai")
jd1, jd2 = day_frac(i + erfa.DJM0, f)
jd1_t, jd2_t = day_frac(t.jd1, t.jd2)
assert (abs((jd1 - jd1_t) + (jd2 - jd2_t)) * u.day).to(u.ns) < 1 * u.ns
def test_day_frac_idempotent(i, f):
i_d, f_d = day_frac(i, f)
assert (i_d, f_d) == day_frac(i_d, f_d)
def test_day_frac_exact(i, f):
assume(abs(f) < 0.5 or i % 2 == 0)
i_d, f_d = day_frac(i, f)
assert i == i_d
assert f == f_d
def test_day_frac_harmless(i, f):
with decimal.localcontext(decimal.Context(prec=40)):
a = Decimal(i) + Decimal(f)
i_d, f_d = day_frac(i, f)
a_d = Decimal(i_d) + Decimal(f_d)
assert_almost_equal(a, a_d, atol=Decimal(tiny), rtol=Decimal(0))
def value(self):
mjd1, mjd2 = day_frac(self.jd1 - DJM0, self.jd2)
return np.longdouble(mjd1) + np.longdouble(mjd2)
def set_jds(self, val, val2):
mjd1 = np.float64(np.floor(val))
mjd2 = np.float64(val - mjd1)
self.jd1, self.jd2 = day_frac(mjd1 + DJM0, mjd2)
def test_mjd_initialization_precise():
i, f = 65536, 3.637978807091714e-12 # Found using hypothesis
t = Time(val=i, val2=f, format="mjd", scale="tai")
jd1, jd2 = day_frac(i + erfa.DJM0, f)
jd1_t, jd2_t = day_frac(t.jd1, t.jd2)
assert (abs((jd1 - jd1_t) + (jd2 - jd2_t)) * u.day).to(u.ns) < 1 * u.ns
def test_day_frac_idempotent():
i, f = 65536, 3.637978807091714e-12
i_d, f_d = day_frac(i, f)
assert i_d, f_d == day_frac(i_d, f_d)