from __future__ import annotations
from typing import TYPE_CHECKING
import numpy
from . import conv, defaults
from .conv import cart2FieldAngle, sph2Cart
from .coordinate import (Coordinate, Coordinate2D, Coordinate3D,
verifySite, verifyWavelength)
from .exceptions import CoordIOError
if TYPE_CHECKING:
from .site import Site
from .sky import Observed
__all__ = ["Field", "FocalPlane"]
[docs]class Field(Coordinate2D):
"""A representation of Field Coordinates. A spherical coordinate system
defined by two angles: theta, phi. Theta is the angle about the optical
axis measured from the direction of +RA. Phi is the angle off the optical
axis of the telescope. So Phi=0 is the optical axis of the telescope
increasing from earth to sky.
In the Cartesian representation on a unit sphere, +x is aligned with +RA,
+y is aligned with +Dec, and so +z is aligned with the telescope's optical
axis and points from the earth to sky.
Parameters
------------
value : numpy.ndarray
A Nx2 array. First column is theta, the azimuthal angle from +RA
through +Dec in deg. Second angle is phi, polar angle angle (off axis
angle) in deg. Or `.Observed`. Or `.FocalPlane`.
field_center : `.Observed`
An `.Observed` instance containing a single coordinate
Attributes
------------
x : numpy.ndarray
unit-spherical x coordinate
y : numpy.ndarray
unit-spherical y coordinate
z : numpy.ndarray
unit-spherical z coordinate
x_angle : numpy.ndarray
zeemax-style x field angle (deg)
y_angle : numpy.ndarray
zeemax-style y field angle (deg)
field_warn: numpy.ndarray
boolean array indicating suspect conversions from large field angles
"""
__computed_arrays__ = ["x", "y", "z", "x_angle", "y_angle"]
__warn_arrays__ = ["field_warn"]
__extra_params__ = ["field_center"] # mandatory parameter
# may want to carry around position angle for all
# coordinates too through the chain? Could reduce errors in guiding
# because direction to north or zenith varies across the field due to...
# spheres. For now ignore it?
x: numpy.ndarray
y: numpy.ndarray
z: numpy.ndarray
x_angle: numpy.ndarray
y_angle: numpy.ndarray
field_warn: numpy.ndarray
field_center: Observed
def __new__(cls, value, **kwargs):
field_center = kwargs.get("field_center", None)
if field_center is None:
raise CoordIOError("field_center must be passed to Field")
else:
if not hasattr(field_center, "coordSysName"):
raise CoordIOError(
"field_center must be an Observed coordinate"
)
if field_center.coordSysName != "Observed":
raise CoordIOError(
"field_center must be an Observed coordinate"
)
if len(field_center) != 1:
raise CoordIOError("field_center must contain only one coord")
if isinstance(value, Coordinate):
if value.coordSysName == "Observed":
obj = super().__new__(cls, value, **kwargs)
obj._fromObserved(value)
elif value.coordSysName == "FocalPlane":
# focal plane is a 3D coord sys
# field is 2D (spherical)
initArray = numpy.zeros((len(value), 2))
obj = super().__new__(cls, initArray, **kwargs)
obj._fromFocalPlane(value)
else:
raise CoordIOError(
"Cannot convert to Field from %s" % value.coordSysName
)
else:
obj = super().__new__(cls, value, **kwargs)
obj._fromRaw()
return obj
def _fromObserved(self, obsCoords):
"""Converts from observed coords to field coords, given the field
center. Populates the computed arrays
Parameters
-----------
obsCoords : `.Observed`
"""
altAz = numpy.array(obsCoords)
alt, az = altAz[:, 0], altAz[:, 1]
altCenter, azCenter = self.field_center.flatten()
pa = float(self.field_center.pa) # position angle
theta, phi = conv.observedToField(alt, az, altCenter, azCenter, pa)
self[:, 0] = theta
self[:, 1] = phi
self._fromRaw()
def _fromFocalPlane(self, fpCoords):
"""Convert from FocalPlane coords to Field coords.
Parameters
------------
fpCoords : `.FocalPlane`
"""
siteName = fpCoords.site.name.upper()
for waveCat in ["Boss", "Apogee", "GFA"]:
# find which coords are intended for which
# wavelength
arg = numpy.argwhere(
fpCoords.wavelength == defaults.INST_TO_WAVE[waveCat]
)
if len(arg) == 0:
continue
arg = arg.squeeze()
xFP = numpy.atleast_1d(fpCoords[arg, 0].squeeze())
yFP = numpy.atleast_1d(fpCoords[arg, 1].squeeze())
zFP = numpy.atleast_1d(fpCoords[arg, 2].squeeze())
if hasattr(xFP, "__len__") and len(xFP) == 0:
continue
thetaFocal, phiFocal, fieldWarn = conv.focalToField(
xFP,
yFP,
zFP,
siteName,
waveCat
)
thetaPhi = numpy.array([thetaFocal, phiFocal]).T
self[arg] = thetaPhi
self.field_warn[arg] = fieldWarn
self._fromRaw()
def _fromRaw(self):
"""Populates the computed arrays
"""
# ensure wrapping
self[:,0] = self[:,0] % 360
self.x, self.y, self.z = sph2Cart(self[:, 0], self[:, 1])
self.x_angle, self.y_angle = cart2FieldAngle(self.x, self.y, self.z)
[docs]class FocalPlane(Coordinate3D):
"""The focal plane coordinate system is 3D Cartesian with units of mm.
The origin is the M1 vertex. +x is aligned with +RA on the image, +y is
aligned with +Dec on the image, +z points from earth to sky along the
telescope's optical axis. `.FocalPlane` xy's are physically rotated 180
degrees with respect to `.Field` xy's because Cassegrain telescope rotates
the image. The choice was made to put +x along +RA on the image, rather
than the sky.
For each wavelength, a sphereical surface fit has been determined.
The sphere's center lies along the optical axis at a positive z value.
The sphere's center is considered the 'ray origin', so all rays traveling
to the focal plane originate from this location.
The ray origin and a wavelength-dependent, z-symmetric, distortion model
is used to convert between `.FocalPlane` and `.Field` coordinates.
The distortion model is an odd-termed polynomial relating input field
angle to output focal plane model.
The ZEMAX models/scripts, and fitting code for this still lives in
github.com/csayres/sdssconv, but may be eventually moved to this package.
Parameters
------------
value : numpy.ndarray
A Nx3 array where [x,y,z] are columns. Or `.Field`. Or `.Wok`.
wavelength : float or numpy.ndarray
A 1D array with he observed wavelength, in angstroms.
Currently only values of 5400, 6231, and 16600 are valid, corresponding
to BOSS, Apogee, and sdss-r band (GFA). Defaults to GFA wavelength.
site : `.Site`
Used to pick the focal plane model to use which is telescope dependent
fpScale : float
Multiplicative scale factor to apply between wok and focal
coords. An adjustment to the focal plane model. Defaults to
coordio.defaults.FOCAL_SCALE.
Attributes
-----------
b : numpy.ndarray
A 1D array containing the location of the spherical fit's center
(origin of rays) along the optical axis in mm. Varies with wavelength.
R : numpy.ndarray
1D array containing the radius of curvature for the spherical fit in
mm. Varies with wavelength.
field_warn: numpy.ndarray
boolean array indicating suspect conversions from large field angles
"""
__extra_params__ = ["site", "fpScale"]
__extra_arrays__ = ["wavelength"]
__computed_arrays__ = ["b", "R"]
__warn_arrays__ = ["field_warn"]
b: numpy.ndarray
R: numpy.ndarray
field_warn: numpy.ndarray
wavelength: numpy.ndarray
site: Site
fpScale: float
def __new__(cls, value, **kwargs):
verifySite(kwargs)
verifyWavelength(
kwargs, len(value), strict=True
)
fpScale = kwargs.get("fpScale", None)
if fpScale is None:
if kwargs["site"].name == "APO":
kwargs["fpScale"] = defaults.SITE_TO_SCALE["APO"]
elif kwargs["site"].name == "LCO":
kwargs["fpScale"] = defaults.SITE_TO_SCALE["LCO"]
else:
kwargs["fpScale"] = 1
if isinstance(value, Coordinate):
if value.coordSysName == "Field":
# going from 2D -> 3D coord sys
# expand dimensionality
arrInit = numpy.zeros((len(value), 3))
obj = super().__new__(cls, arrInit, **kwargs)
obj._fromField(value)
elif value.coordSysName == "Wok":
# wok is already a 3D coord sys
obj = super().__new__(cls, value, **kwargs)
obj._fromWok(value)
else:
raise CoordIOError(
'Cannot convert to FocalPlane from %s'%value.coordSysName
)
else:
obj = super().__new__(cls, value, **kwargs)
obj._fromRaw()
return obj
def _fromField(self, fieldCoord):
""" Convert from field coordinates to focal plane coordinates, using
a pre-fit focal plane model.
Parameters
-----------
fieldCoord : `.Field`
"""
siteName = self.site.name.upper()
for waveCat in ["Boss", "Apogee", "GFA"]:
# find which coords are intended for which
# wavelength
arg = numpy.argwhere(
self.wavelength == defaults.INST_TO_WAVE[waveCat]
)
if len(arg) == 0:
continue
arg = arg.squeeze()
thetaField = numpy.atleast_1d(fieldCoord[arg, 0].squeeze())
phiField = numpy.atleast_1d(fieldCoord[arg, 1].squeeze())
xFP, yFP, zFP, R, b, fieldWarn = conv.fieldToFocal(
thetaField,
phiField,
siteName,
waveCat
)
xyzFP = numpy.array([xFP, yFP, zFP]).T
self[arg] = xyzFP
self.b[arg] = b
self.R[arg] = R
self.field_warn[arg] = fieldWarn
def _fromWok(self, wokCoord):
""" Convert from wok coordinates to focal plane coordinates.
Parameters
-----------
wokCoord : `.Wok`
"""
self._fromRaw() # for grabbing fp params, b and R
pa = wokCoord.obsAngle
siteName = self.site.name.upper()
xOff, yOff, zOff, tiltX, tiltY = defaults.getWokOrient(siteName)
xWok, yWok, zWok = wokCoord[:, 0], wokCoord[:, 1], wokCoord[:, 2]
xF, yF, zF = conv.wokToFocal(
xWok, yWok, zWok, pa, xOff,
yOff, zOff, tiltX, tiltY,
b=self.b, R=self.R, # set b and R to None if NOT using flat wok model
fpScale=self.fpScale
)
self[:, 0] = xF
self[:, 1] = yF
self[:, 2] = zF
def _fromRaw(self):
direction = "focal" # irrelevant, just grabbing sphere params
for waveCat in ["Boss", "Apogee", "GFA"]:
arg = numpy.argwhere(
self.wavelength == defaults.INST_TO_WAVE[waveCat])
if len(arg) == 0:
continue
arg = arg.squeeze()
R, b, c0, c1, c2, c3, c4 = defaults.getFPModelParams(self.site.name,
direction,
waveCat)
self.b[arg] = b
self.R[arg] = R
