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-rwxr-xr-xpython/radec2deg.py96
-rwxr-xr-xpython/radec_angle.py248
2 files changed, 344 insertions, 0 deletions
diff --git a/python/radec2deg.py b/python/radec2deg.py
new file mode 100755
index 0000000..9966095
--- /dev/null
+++ b/python/radec2deg.py
@@ -0,0 +1,96 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+#
+# Aaron LI
+# Created: 2015-04-17
+# Updated: 2016-06-30
+#
+
+"""
+Convert the coordinates data in format (??h??m??s, ??d??m??s)
+to format (degree, degree).
+"""
+
+import os
+import sys
+import re
+import getopt
+import math
+
+
+USAGE = """Usage:
+ %(prog)s [ -h ] -i coords_file
+
+Required arguments:
+ -i, --infile
+ infile containing the coordinates
+
+Optional arguments:
+ -h, --help
+""" % {'prog': os.path.basename(sys.argv[0])}
+
+
+def usage():
+ print(USAGE)
+
+
+def ra2deg(h, m, s):
+ return h * 15.0 + m * 15.0/60.0 + s * 15.0/3600.0
+
+
+def dec2deg(d, m, s):
+ if (d >= 0):
+ sign = 1.0
+ else:
+ sign = -1.0
+ return sign * (math.fabs(d) + m/60.0 + s/3600.0)
+
+
+def s_ra2deg(hms):
+ h, m, s = map(float, re.sub('[hms]', ' ', hms).split())
+ return h * 15.0 + m * 15.0/60.0 + s * 15.0/3600.0
+
+
+def s_dec2deg(dms):
+ d, m, s = map(float, re.sub('[dms]', ' ', dms).split())
+ if (d >= 0):
+ sign = 1.0
+ else:
+ sign = -1.0
+ return sign * (math.fabs(d) + m/60.0 + s/3600.0)
+
+
+def calc_offset(coord1, coord2):
+ ra1, dec1 = coord1
+ ra2, dec2 = coord2
+ return math.sqrt((ra1-ra2)**2 + (dec1-dec2)**2)
+
+
+def main():
+ try:
+ opts, args = getopt.getopt(sys.argv[1:], "hi:",
+ ["help", "infile="])
+ except getopt.GetoptError as err:
+ print(err)
+ usage()
+ sys.exit(2)
+ for opt, arg in opts:
+ if opt in ("-h", "--help"):
+ usage()
+ sys.exit(1)
+ elif opt in ("-i", "--infile"):
+ infile = arg
+ else:
+ assert False, "unhandled option"
+
+ for line in open(infile):
+ if re.match(r"^\s*#", line) or re.match(r"^\s*$", line):
+ continue
+ ra, dec = line.split()
+ ra_deg = s_ra2deg(ra)
+ dec_deg = s_dec2deg(dec)
+ print("%.8f %.8f" % (ra_deg, dec_deg))
+
+
+if __name__ == "__main__":
+ main()
diff --git a/python/radec_angle.py b/python/radec_angle.py
new file mode 100755
index 0000000..ec01807
--- /dev/null
+++ b/python/radec_angle.py
@@ -0,0 +1,248 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+#
+# Aaron LI
+# Created: 2015-04-17
+# Updated: 2016-06-30
+#
+
+"""
+Calculate the angles between the given center point to other points
+on the sphere.
+
+The following input formats are supported:
+ longitude latitude => FMT
+ ------------------------------------
+ ??h??m??s ??d??m??s => "radec"
+ ?? ?? ?? ?? ?? ?? => "ra3dec3"
+ deg deg => "degdeg"
+"""
+
+import os
+import sys
+import re
+import getopt
+import math
+
+
+USAGE = """Usage:
+ %(prog)s [ -b -h ] -r RA -d DEC -i infile -f FMT -u UNIT
+
+Required arguments:
+ -r, --ra
+ RA (??h??m??s) of the center
+ -d, --dec
+ DEC (??d??m??s) of the center
+ -i, --infile
+ input file containing the coordinates data
+ -f, --format
+ value: radec | ra3dec3 | degdeg
+ coordinates format of the input data file
+ -u, --unit
+ value: deg | arcmin | arcsec
+ unit of the output data
+
+Optional arguments:
+ -b, --brief
+ brief mode: only output results
+ -h, --help
+""" % {'prog': os.path.basename(sys.argv[0])}
+
+
+def usage():
+ print(USAGE, file=sys.stderr)
+
+
+def ra2deg(h, m, s):
+ """
+ Convert RA (hour, minute, second) to degree.
+ """
+ return h * 15.0 + m * 15.0/60.0 + s * 15.0/3600.0
+
+
+def dec2deg(d, m, s):
+ """
+ Convert DEC (deg, arcmin, arcsec) to degree.
+ """
+ if (d >= 0):
+ sign = 1.0
+ else:
+ sign = -1.0
+ return sign * (math.fabs(d) + m/60.0 + s/3600.0)
+
+
+def s_ra2deg(hms):
+ """
+ Convert RA string ("??h??m??s") to degree.
+ """
+ h, m, s = map(float, re.sub('[hms]', ' ', hms).split())
+ return ra2deg(h, m, s)
+
+
+def s_dec2deg(dms):
+ """
+ Convert DEC string ("??d??m??s") to degree.
+ """
+ d, m, s = map(float, re.sub('[dms]', ' ', dms).split())
+ return dec2deg(d, m, s)
+
+
+def deg2rad(deg):
+ """
+ Convert unit from deg to rad.
+ """
+ return deg * math.pi / 180.0
+
+
+def rad2deg(rad):
+ """
+ Convert unit from rad to deg.
+ """
+ return rad * 180.0 / math.pi
+
+
+def central_angle(p1, p2, unit="deg"):
+ """
+ Calculate the central angle between the two points on the sphere.
+
+ Input parameters:
+ p1, p2: (longitude, latitude), coorindates of the two points
+
+ Algorithm:
+ (radial, azimuthal, polar): (r, theta, phi)
+ central_angle: alpha
+ longitude: lambda = theta
+ latitude: delta = 90 - phi
+ colatitude: phi
+
+ Unit vector:
+ \hat{r}_1 = (cos(theta1) sin(phi1), sin(theta1) sin(phi1), cos(phi1))
+ = (cos(lambda1) cos(delta1), sin(lambda1) cos(delta1), sin(delta1))
+ \hat{r}_2 = (cos(theta2) sin(phi2), sin(theta2) sin(phi2), cos(phi2))
+ = (cos(lambda2) cos(delta2), sin(lambda2) cos(delta2), sin(delta2))
+
+ Therefore the angle (alpha) between \hat{r}_1 and \hat{r}_2:
+ cos(alpha) = \hat{r}_1 \cdot \hat{r}_2
+ = cos(delta1) cos(delta2) cos(lambda1-lambda2)
+ + sin(delta1) sin(delta2)
+
+ References:
+ [1] Spherical Coordinates - Wolfram MathWorld
+ http://mathworld.wolfram.com/SphericalCoordinates.html
+ Equation (19)
+ [2] Great Circle - Wolfram MathWorld
+ http://mathworld.wolfram.com/GreatCircle.html
+ Equation (1), (2), (4)
+ """
+ lbd1, delta1 = map(deg2rad, p1)
+ lbd2, delta2 = map(deg2rad, p2)
+ dotvalue = (math.cos(delta1) * math.cos(delta2) * math.cos(lbd1-lbd2) +
+ math.sin(delta1) * math.sin(delta2))
+ alpha = math.acos(dotvalue)
+ if unit == "rad":
+ return alpha
+ elif unit == "arcmin":
+ return rad2deg(alpha) * 60.0
+ elif unit == "arcsec":
+ return rad2deg(alpha) * 60.0*60.0
+ else:
+ # default: degree
+ return rad2deg(alpha)
+
+
+def main():
+ # Mandatory arguments
+ center_ra = None
+ center_dec = None
+ infile = None
+
+ # Default parameters
+ unit = "arcmin"
+ fmt = "radec" # default format: "??h??m??s ??d??m??s"
+
+ # Process command line arguments
+ try:
+ opts, args = getopt.getopt(sys.argv[1:], "bd:f:hi:r:u:",
+ ["brief", "dec=", "format=", "help",
+ "infile=", "ra=", "unit="])
+ except getopt.GetoptError as err:
+ print(err)
+ usage()
+ sys.exit(2)
+ brief = False # brief mode
+ for opt, arg in opts:
+ if opt in ("-h", "--help"):
+ usage()
+ sys.exit(1)
+ elif opt in ("-b", "--brief"):
+ brief = True
+ elif opt in ("-d", "--dec"):
+ center_dec = arg
+ elif opt in ("-r", "--ra"):
+ center_ra = arg
+ elif opt in ("-i", "--infile"):
+ infile = arg
+ elif opt in ("-f", "--format"):
+ fmt = arg
+ elif opt in ("-u", "--unit"):
+ unit = arg
+ else:
+ assert False, "unhandled option"
+
+ # Check mandatory arguments
+ if not center_ra:
+ print("Error: --ra argument required!", file=sys.stderr)
+ if not center_dec:
+ print("Error: --dec argument required!", file=sys.stderr)
+ if not infile:
+ print("Error: --infile argument required!", file=sys.stderr)
+
+ if fmt == "radec":
+ center_ra_deg = s_ra2deg(center_ra)
+ center_dec_deg = s_dec2deg(center_dec)
+ elif fmt == "ra3dec3":
+ ra_h, ra_m, ra_s = map(float, center_ra.split())
+ dec_d, dec_m, dec_s = map(float, center_dec.split())
+ center_ra_deg = ra2deg(ra_h, ra_m, ra_s)
+ center_dec_deg = dec2deg(dec_d, dec_m, dec_s)
+ elif fmt == "degdeg":
+ center_ra_deg = float(center_ra)
+ center_dec_deg = float(center_dec)
+ else:
+ print("Error: unknown format type: %s" % fmt, file=sys.stderr)
+ sys.exit(2)
+
+ if not brief:
+ print("# Central_angle (unit: %s)" % unit)
+
+ datafile = open(infile, "r")
+ for line in datafile:
+ if re.match(r"^\s*#", line):
+ # skip comments
+ continue
+ elif re.match(r"^\s*$", line):
+ # skip blank line
+ continue
+ # coordinate format
+ if fmt == "radec":
+ ra, dec = line.split()
+ ra_deg = s_ra2deg(ra)
+ dec_deg = s_dec2deg(dec)
+ elif fmt == "ra3dec3":
+ ra_h, ra_m, ra_s, dec_d, dec_m, dec_s = map(float, line.split())
+ ra_deg = ra2deg(ra_h, ra_m, ra_s)
+ dec_deg = dec2deg(dec_d, dec_m, dec_s)
+ elif fmt == "degdeg":
+ ra_deg, dec_deg = map(float, line.split())
+ else:
+ print("Error: unknown format type: %s" % fmt, file=sys.stderr)
+ sys.exit(2)
+ # calculate angle
+ angle = central_angle((center_ra_deg, center_dec_deg),
+ (ra_deg, dec_deg), unit=unit)
+ print("%.10f" % angle)
+ datafile.close()
+
+
+if __name__ == "__main__":
+ main()