In [288]:
%pylab
import scipy.interpolate
import desimodel.io
def get_radius_mm(theta):
"""
Returns an array of radii in mm given an array of radii in degrees using the platescale data
relative to the center of the focal plane as (0,0). Supports scalar and vector inputs.
Parameters
----------
theta: An array that represents the angle from the center of the focal plane
"""
if(np.isscalar(theta)):
platescale = desimodel.io.load_platescale()
# Uses a quadratic one-dimensional interpolation to approximate the radius in degrees versus radius in mm
fn = scipy.interpolate.interp1d(platescale['theta'], platescale['radius'], kind = 'quadratic')
radius = float(fn(theta))
return radius
else:
platescale = desimodel.io.load_platescale()
# Uses a quadratic one-dimensional interpolation to approximate the radius in degrees versus radius in mm
fn = scipy.interpolate.interp1d(platescale['theta'], platescale['radius'], kind = 'quadratic')
radius = []
for x in theta:
radius_mm = float(fn(x))
radius.append(radius_mm)
radius_array = np.array(radius)
return radius_array
def get_radius_deg(x, y):
"""
Returns the radius in degrees given x, y coordinates using the platescale data
Parameters
----------
x: The x coordinate in mm of a location on the focal plane
y: The y coordinate in mm of a location on the focal plane
"""
import desimodel.io
radius = np.sqrt(x**2 + y**2)
platescale = desimodel.io.load_platescale()
# Plots are used for debugging.
#plot(platescale['radius'], platescale['theta'], 'k.')
#plot(platescale['radius'], platescale['radial_platescale'], 'k.')
fn = scipy.interpolate.interp1d(platescale['radius'], platescale['theta'], kind = 'quadratic')
degree = float(fn(radius))
return degree
def cartesian_to_polar_angle(x, y):
"""
Given cartesian coordinates, this function returns the polar angle in degrees
for use in polar coordinates
Parameters
----------
x: The x coordinate in mm of a location on the focal plane
y: The y coordinate in mm of a location on the focal plane
"""
# Prevents division by 0
if(x == 0):
if(y > 0):
return 90
else:
return 270
# Case for quadrant 1
elif(x > 0 and y >= 0):
return arctan(y / x) * 180 / pi
# Case for quadrants 2 and 3
elif(x < 0):
return (arctan(y / x) * 180 / pi) + 180
# Case for quadrant 4
elif(x > 0 and y <= 0):
return (arctan(y / x) * 180 / pi) + 360
else:
raise ValueError
Using matplotlib backend: MacOSX
Populating the interactive namespace from numpy and matplotlib
In [289]:
#degree = get_radius_deg(333.738, 217.766)
#print(degree)
#radius = get_radius_mm(1.5731300326614939)
testradii = [1.5731300326614939, 1.5]
radius = get_radius_mm(testradii)
print(radius)
[ 398.50104567 378.53678987]
In [290]:
def plot_focal_plane_deg():
"""
Plots the focal plane in degrees using the gfa Table object read in with the astropy library
"""
%pylab
import desimodel.io
# ONLY USED HERE RIGHT NOW BECAUSE LOAD_GFA() HAS NOT BEEN PUSHED
gfa = desimodel.io.load_gfa()
pyplot.polar()
title('GFA Overhead View in Degrees')
# Theta is in degrees
theta = gfa['Q']
degree = gfa['RADIUS_DEG']
print(gfa)
for i in range(40):
thetaradians = theta[i] * pi / 180
pyplot.polar(thetaradians, degree[i], 'k.')
# Used for debugging to print the angle in radians and the radius in degrees
#print(str(theta[i]) + ", " + str(degree[i]))
In [291]:
plot_focal_plane_deg()
Using matplotlib backend: MacOSX
Populating the interactive namespace from numpy and matplotlib
PETAL CORNER X ... Q RADIUS_DEG RADIUS_MM
mm ... degrees
----- ------ -------------- ... ------------- ------------- -------------
0 0 116.279135121 ... 287.31935812 1.54426530071 390.595017971
0 1 121.005023896 ... 287.345026987 1.5999816328 405.886737469
0 2 91.784287159 ... 283.02060759 1.60541232205 407.384285137
0 3 87.0587074141 ... 282.826719301 1.54995479057 392.150643917
1 0 313.248421438 ... 323.31935812 1.54426530071 390.595017971
1 1 325.620626724 ... 323.345026987 1.5999816328 405.886737469
1 2 307.552931346 ... 319.02060759 1.60541232205 407.384285137
1 3 295.180417053 ... 318.826719301 1.54995479057 392.150643917
2 0 390.567457688 ... 359.31935812 1.54426530071 390.595017971
2 1 405.860217581 ... 359.345026987 1.5999816328 405.886737469
... ... ... ... ... ... ...
7 2 -405.846809099 ... 175.02060759 1.60541232205 407.384285137
7 3 -390.553240191 ... 174.826719301 1.54995479057 392.150643917
8 0 -318.703000001 ... 215.31935812 1.54426530071 390.595017971
8 1 -331.075000003 ... 215.345026987 1.5999816328 405.886737469
8 2 -349.121000002 ... 211.02060759 1.60541232205 407.384285137
8 3 -336.747999992 ... 210.826719301 1.54995479057 392.150643917
9 0 -125.10482863 ... 251.31935812 1.54426530071 390.595017971
9 1 -129.83038525 ... 251.345026987 1.5999816328 405.886737469
9 2 -159.04283509 ... 247.02060759 1.60541232205 407.384285137
9 3 -154.31646944 ... 246.826719301 1.54995479057 392.150643917
Length = 40 rows
In [292]:
# ADD TO FOCALPLANE.PY FILE
%pylab
def xy2radec(telra, teldec, x, y):
"""
Returns the new RA and Dec of an x, y position on the focal plane
in the sky given an arbitrary telescope pointing in RA and Dec
Parameters
----------
telra: a float signifying the telescope's RA pointing in degrees
teldec: a float signifying the telescope's Dec pointing in degrees
x: The x coordinate in mm of a location on the focal plane
y: The y coordinate in mm of a location on the focal plane
"""
from math import atan2, acos
# radial distance on the focal plane in degrees
r_deg = get_radius_deg(x, y)
print(r_deg)
# q signifies the angle the position makes with the +x-axis of focal plane
q = cartesian_to_polar_angle(x, y)
print(q)
coord = numpy.zeros(shape=(3,1))
coord[0] = 1
# Clockwise rotation around the z-axis by the radial distance to a point on the focal plane in radians
zrotate = numpy.zeros(shape=(3,3))
r_rad = math.radians(r_deg)
zrotate[0] = [cos(r_rad), sin(r_rad), 0]
zrotate[1] = [-sin(r_rad), cos(r_rad), 0]
zrotate[2] = [0, 0, 1]
# Counter-clockwise rotation around the x-axis
xrotate = numpy.zeros(shape=(3,3))
q_rad = math.radians(q)
xrotate[0] = [1, 0, 0]
xrotate[1] = [0, cos(q_rad), -sin(q_rad)]
xrotate[2] = [0, sin(q_rad), cos(q_rad)]
# Counter-clockwise rotation around y axis by declination of the tile center
decrotate = numpy.zeros(shape=(3,3))
teldec_rad = math.radians(teldec)
decrotate[0] = [cos(teldec_rad), 0, -sin(teldec_rad)]
decrotate[1] = [0, 1, 0]
decrotate[2] = [sin(teldec_rad), 0, cos(teldec_rad)]
# Counter-clockwise rotation around the z-axis by the right ascension of the tile center
rarotate = numpy.zeros(shape=(3,3))
telra_rad = math.radians(telra)
rarotate[0] = [cos(telra_rad), -sin(telra_rad), 0]
rarotate[1] = [sin(telra_rad), cos(telra_rad), 0]
rarotate[2] = [0, 0, 1]
coord1 = matmul(zrotate, coord)
coord2 = matmul(xrotate, coord1)
coord3 = matmul(decrotate, coord2)
coord4 = matmul(rarotate, coord3)
ra_rad = atan2(coord4[1], coord4[0])
dec_rad = (pi / 2) - acos(coord4[2] / sqrt((coord4[0]**2) + (coord4[1]**2) + (coord4[2]**2)))
ra_deg = math.degrees(ra_rad)
dec_deg = math.degrees(dec_rad)
# Value can be 360, which should be 0
ra = ra_deg % 360
# MAKE THIS CHANGE AND COMMIT TO GITHUB IN NEW BRANCH BECAUSE RA SHOULD BE BETWEEN 0 AND 360
if(ra == 360):
ra = 0
return ra, dec_deg
newra, newdec = xy2radec(8.37, -10.65, -138.345, -333.179)
#simple test case of only moving in ra
#newra1, newdec1 = xy2radec(0, 0, 400, 0)
#newra2, newdec2 = xy2radec(0, 0, 0, 400)
print(newra)
print(newdec)
#print(newra1)
#print(newdec1)
#print(newra2)
#print(newdec2)
Using matplotlib backend: MacOSX
Populating the interactive namespace from numpy and matplotlib
1.4342182409681465
247.450443362
8.927313423598427
-9.324956250231294
In [293]:
from astropy.io import fits
from astropy.table import Table
#import numpy as np
import desimodel.io
#%pylab
tile = Table.read('tile_00612.fits', 'FIBER_ASSIGNMENTS')
#- File bug: TILERA, TILEDEC are arrays of identical values instead of scalars;
#- just grab element 0
telra = tile.meta['TILERA'][0]
teldec = tile.meta['TILEDEC'][0]
print(telra)
print(teldec)
plot(tile['XFOCAL_DESIGN'], tile['YFOCAL_DESIGN'], 'b.')
clf()
plot(tile['RA'], tile['DEC'], 'b.')
tile
8.37
-10.65
Out[293]:
<Table length=5000>
FIBER LOCATION NUMTARGET PRIORITY TARGETID DESI_TARGET BGS_TARGET MWS_TARGET RA DEC XFOCAL_DESIGN YFOCAL_DESIGN BRICKNAME deg deg mm mm int32 int32 int16 int32 int64 int64 int64 int64 float64 float64 float32 float32 str8 0 95 11 3200 600548863582474091 65537 0 0 8.40634632111 -9.93649291992 -8.77733 -174.925 0084m100 1 62 6 3000 5844768686203625466 131074 0 0 8.56390190125 -9.99551010132 -46.782 -160.322 0084m100 2 102 7 0 3393924777442882107 4294967296 0 0 8.58276939392 -9.87040424347 -51.5125 -191.556 0084m097 3 82 16 3400 6166091188264142003 262148 0 0 8.48240280151 -9.95259666443 -27.1377 -170.94 0084m100 4 131 9 3400 5942221679052239683 262148 0 0 8.34638404846 -9.82890224457 5.72046 -201.849 0082m097 5 108 12 3000 8685456968741477546 131074 0 0 8.32260322571 -9.93105316162 11.4478 -176.283 0082m100 6 119 6 3200 6759846742251782601 65537 0 0 8.3402633667 -9.883644104 7.19154 -188.122 0082m100 7 64 7 3000 355041889027632097 131074 0 0 8.481508255 -10.0389022827 -26.8648 -149.509 0084m100 8 72 11 3400 69658295665299445 262148 0 0 8.54664993286 -9.96295928955 -42.6503 -168.403 0084m100 ... ... ... ... ... ... ... ... ... ... ... ... ... 4990 1341 11 3000 4728169732921122493 131074 0 0 9.20524215698 -9.842461586 -204.529 -200.424 0092m097 4991 1427 6 3000 8232083913096463982 131074 0 0 9.29141807556 -9.90219116211 -225.791 -185.687 0092m100 4992 1428 9 3000 5790969984901594430 131074 0 0 9.0259885788 -9.43154811859 -162.392 -305.578 0089m095 4993 1363 6 3000 8243470066225271958 131074 0 0 9.15605926514 -9.84250831604 -192.236 -200.183 0092m097 4994 1383 11 3400 9119228181506103224 262148 0 0 9.20227146149 -9.97411632538 -203.035 -167.143 0092m100 4995 1402 10 3000 5298559435694857084 131074 0 0 9.07099056244 -9.22702407837 -175.389 -360.472 0089m092 4996 1386 4 0 1737991835914497662 4294967296 0 0 9.09792041779 -9.28890132904 -181.683 -343.997 0089m092 4997 1361 7 0 3766100038586970653 4294967296 0 0 9.24287319183 -9.86101341248 -213.848 -195.895 0092m097 4998 1491 6 3400 7765516365856058804 262148 0 0 9.27076244354 -9.80056095123 -221.267 -211.43 0092m097 4999 1430 7 3200 2698741087162960217 65537 0 0 8.92722415924 -9.3251657486 -138.345 -333.179 0089m092
In [294]:
def radecdifference():
"""
Reads in a file with data from 5000 fiberpositioners at a given telescope pointing
and graphs a quiver plot and histogram to show the difference in calculations
"""
from astropy.io import fits
from astropy.table import Table
#import numpy as np
import desimodel.io
#%pylab
tile = Table.read('tile_00612.fits', 'FIBER_ASSIGNMENTS')
#- File bug: TILERA, TILEDEC are arrays of identical values instead of scalars;
#- just grab element 0
telra = tile.meta['TILERA'][0]
teldec = tile.meta['TILEDEC'][0]
ra = numpy.zeros(5000)
dec = numpy.zeros(5000)
# u and v are for the quiver plots, signifying the x and y components of the vectors respectively
"""u = numpy.zeros(5000)
v = numpy.zeros(5000)"""
for i in range(5000):
ra[i], dec[i] = xy2radec(telra, teldec, tile['XFOCAL_DESIGN'][i], tile['YFOCAL_DESIGN'][i])
"""u[i] = ra[i] - tile['RA'][i]
v[i] = dec[i] - tile['DEC'][i]"""
u = ra - tile['RA']
v = dec - tile['DEC']
#q = quiver(tile['RA'], tile['DEC'], 10*u, 10*v)
hist(sqrt((u*cos(tile['DEC'] * pi / 180))**2 + (v)**2)*3600)
radecdifference()
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1.164291540410439
216.483564735
1.5903143827390618
242.208509187
1.5720505262014863
244.607544831
1.1524677851675205
224.419216607
1.1754734554509554
219.433332192
1.3793143733276623
242.01257155
1.1184189245873521
226.160214751
1.0619474207380595
219.462066798
1.5817753406579076
244.054572716
1.5385309791646813
242.159072278
1.1665231545528973
222.491211298
1.2279735053568586
223.697583215
1.4342171432525364
247.45050179
In [295]:
# Working on identifying which celestial objects land on the GFAs
from astropy.io import fits
from astropy.table import Table
import desimodel.io
import desimodel.footprint
%pylab
#sweep = Table.read('sweep-050p030-060p035.fits')
#sweep
#plot(sweep['RA'], tile['DEC'], 'b.')
tiles = desimodel.io.load_tiles()
#tiles.dtype.names
print(tiles['TILEID'])
radec = desimodel.footprint.get_tile_radec(4)
print(radec)
print(tiles['RA'])
print(tiles['DEC'])
Using matplotlib backend: MacOSX
Populating the interactive namespace from numpy and matplotlib
[ 4 6 7 ..., 46089 46090 46091]
(335.02999999999997, 19.879999999999999)
[ 335.03 333.22 332.35 ..., 249.28 251.68 254.1 ]
[ 19.88 14.84 12.32 ..., 1.43 2.9 4.34]
/anaconda/lib/python3.6/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['tile']
`%matplotlib` prevents importing * from pylab and numpy
"\n`%matplotlib` prevents importing * from pylab and numpy"
In [296]:
def radec2xy(telra, teldec, ra, dec):
"""
Returns arrays of the x, y positions of given celestial objects
on the focal plane given an arbitrary telescope pointing in RA and Dec and
arrays of the RA and Dec of celestial objects in the sky. Implements the Haversine formula.
Parameters
----------
telra: a scalar float signifying the telescope's RA pointing in degrees
teldec: a scalar float signifying the telescope's Dec pointing in degrees
ra: An array of RA values for locations in the sky
dec: An array of declination values for locations in the sky
"""
# Inclination is 90 degrees minus the declination in degrees
inc = 90 - dec
x0 = sin(math.radians(inc)) * cos(math.radians(ra))
y0 = sin(math.radians(inc)) * sin(math.radians(ra))
z0 = cos(math.radians(inc))
coord = [x0, y0, z0]
# Clockwise rotation around y axis by declination of the tile center
decrotate = numpy.zeros(shape=(3,3))
teldec_rad = math.radians(teldec)
decrotate[0] = [cos(teldec_rad), 0, sin(teldec_rad)]
decrotate[1] = [0, 1, 0]
decrotate[2] = [-sin(teldec_rad), 0, cos(teldec_rad)]
# Clockwise rotation around the z-axis by the right ascension of the tile center
rarotate = numpy.zeros(shape=(3,3))
telra_rad = math.radians(telra)
rarotate[0] = [cos(telra_rad), sin(telra_rad), 0]
rarotate[1] = [-sin(telra_rad), cos(telra_rad), 0]
rarotate[2] = [0, 0, 1]
#coord1 = matmul(decrotate, coord)
#coord2 = matmul(rarotate, coord1)
coord1 = matmul(rarotate, coord)
coord2 = matmul(decrotate, coord1)
x = coord2[0]
y = coord2[1]
z = coord2[2]
print(x, y, z)
theta_deg = np.sqrt(y**2 + z**2)
theta_rad = theta_deg * 180 / np.pi
#radius = get_radius_mm(theta_rad)
p = np.array([8.297E5, -1750.0, 1.394E4, 0.0])
radius = 0.0
for i in range(4):
radius = theta_deg*radius + p[i]
print(radius)
testx = radius * -y / theta_deg
testy = radius * -z / theta_deg
return testx, testy
"""newra, newdec = xy2radec(8.37, -10.65, -138.345, -333.179)
8.927313423598427
-9.324956250231294"""
x, y = radec2xy(8.37, -10.65, 8.927313423598427, -9.324956250231294)
print(x)
print(y)
r = get_radius_deg(x, y)
print(r)
q = cartesian_to_polar_angle(x, y)
print(q)
"""0.99968672009 0.00959826341995 0.0231156876504
360.7194471799543
-138.329551039
-333.141793961
1.4340684672282693"""
0.99968672009 0.00959826341995 0.0231156876504
360.820536724
-138.368317097
-333.235155026
1.4344442883176416
247.450443362
Out[296]:
'0.99968672009 0.00959826341995 0.0231156876504\n360.7194471799543\n-138.329551039\n-333.141793961\n1.4340684672282693'
In [299]:
# Implements the haversine formula
def radec2xy(telra, teldec, ra, dec):
"""
Returns arrays of the x, y positions of given celestial objects
on the focal plane given an arbitrary telescope pointing in RA and Dec and
arrays of the RA and Dec of celestial objects in the sky
Parameters
----------
telra: a scalar float signifying the telescope's RA pointing in degrees
teldec: a scalar float signifying the telescope's Dec pointing in degrees
ra: An array of RA values for locations in the sky
dec: An array of declination values for locations in the sky
"""
import numpy as np
import math
# Inclination is 90 degrees minus the declination in degrees
dec = np.asarray(dec)
inc = 90 - dec
ra = np.asarray(ra)
#inc = 90 - dec
x0 = np.sin(np.radians(inc)) * np.cos(np.radians(ra))
y0 = np.sin(np.radians(inc)) * np.sin(np.radians(ra))
z0 = np.cos(np.radians(inc))
coord = [x0, y0, z0]
# Clockwise rotation around y axis by declination of the tile center
decrotate = np.zeros(shape=(3,3))
teldec_rad = np.radians(teldec)
decrotate[0] = [np.cos(teldec_rad), 0, np.sin(teldec_rad)]
decrotate[1] = [0, 1, 0]
decrotate[2] = [-np.sin(teldec_rad), 0, np.cos(teldec_rad)]
# Clockwise rotation around the z-axis by the right ascension of the tile center
rarotate = np.zeros(shape=(3,3))
telra_rad = math.radians(telra)
rarotate[0] = [np.cos(telra_rad), np.sin(telra_rad), 0]
rarotate[1] = [-np.sin(telra_rad), np.cos(telra_rad), 0]
rarotate[2] = [0, 0, 1]
coord1 = np.matmul(rarotate, coord)
coord2 = np.matmul(decrotate, coord1)
x = coord2[0]
y = coord2[1]
z = coord2[2]
newteldec = 0
newtelra = 0
ra_rad = np.arctan2(y, x)
dec_rad = (np.pi / 2) - np.arccos(z / np.sqrt((x**2) + (y**2) + (z**2)))
radius_rad = 2 * np.arcsin(np.sqrt((np.sin((dec_rad - newteldec) / 2)**2) + ((np.cos(newteldec)) * np.cos(dec_rad) * (np.sin((ra_rad - newtelra) / 2)**2))))
radius_deg = np.degrees(radius_rad)
q_rad = np.arctan2(-z, -y)
radius_mm = get_radius_mm(radius_deg)
x_focalplane = radius_mm * np.cos(q_rad)
y_focalplane = radius_mm * np.sin(q_rad)
return x_focalplane, y_focalplane
ra = [8.40634632111, 8.927313423598427]
dec = [-9.93649291992, -9.324956250231294]
#x, y = radec2xy(8.37, -10.65, 8.927313423598427, -9.324956250231294)
x, y = radec2xy(8.37, -10.65, ra, dec)
print(x)
print(y)
#8.40634632111 -9.93649291992
"""newra, newdec = xy2radec(8.37, -10.65, -138.345, -333.179)
8.927313423598427
-9.324956250231294"""
[ -8.77510018 -138.345 ]
[-174.88049516 -333.17899999]
Out[299]:
'newra, newdec = xy2radec(8.37, -10.65, -138.345, -333.179)\n8.927313423598427\n-9.324956250231294'
Content source: woodywang153/DESI2017
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