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from builtins import zip 

from builtins import range 

import numpy as np 

from .baseStacker import BaseStacker 

 

__all__ = ['setupDitherStackers', 'wrapRADec', 'wrapRA', 'inHexagon', 'polygonCoords', 

'BaseDitherStacker', 

'RandomDitherFieldPerVisitStacker', 'RandomDitherFieldPerNightStacker', 

'RandomDitherPerNightStacker', 

'SpiralDitherFieldPerVisitStacker', 'SpiralDitherFieldPerNightStacker', 

'SpiralDitherPerNightStacker', 

'HexDitherFieldPerVisitStacker', 'HexDitherFieldPerNightStacker', 

'HexDitherPerNightStacker', 

'RandomRotDitherPerFilterChangeStacker'] 

 

# Stacker naming scheme: 

# [Pattern]Dither[Field]Per[Timescale]. 

# Timescale indicates how often the dither offset is changed. 

# The presence of 'Field' indicates that a new offset is chosen per field, on the indicated timescale. 

# The absence of 'Field' indicates that all visits within the indicated timescale use the same dither offset. 

 

 

# Original dither stackers (Random, Spiral, Hex) written by Lynne Jones (lynnej@uw.edu) 

# Additional dither stackers written by Humna Awan (humna.awan@rutgers.edu), with addition of 

# constraining dither offsets to be within an inscribed hexagon (code modifications for use here by LJ). 

 

def setupDitherStackers(raCol, decCol, degrees, **kwargs): 

b = BaseStacker() 

stackerList = [] 

if raCol in b.sourceDict: 

stackerList.append(b.sourceDict[raCol](degrees=degrees, **kwargs)) 

if decCol in b.sourceDict: 

33 ↛ 34line 33 didn't jump to line 34, because the condition on line 33 was never true if b.sourceDict[raCol] != b.sourceDict[decCol]: 

stackerList.append(b.sourceDict[decCol](degrees=degrees, **kwargs)) 

return stackerList 

 

 

def wrapRADec(ra, dec): 

""" 

Wrap RA into 0-2pi and Dec into +/0 pi/2. 

 

Parameters 

---------- 

ra : numpy.ndarray 

RA in radians 

dec : numpy.ndarray 

Dec in radians 

 

Returns 

------- 

numpy.ndarray, numpy.ndarray 

Wrapped RA/Dec values, in radians. 

""" 

# Wrap dec. 

low = np.where(dec < -np.pi / 2.0)[0] 

dec[low] = -1 * (np.pi + dec[low]) 

ra[low] = ra[low] - np.pi 

high = np.where(dec > np.pi / 2.0)[0] 

dec[high] = np.pi - dec[high] 

ra[high] = ra[high] - np.pi 

# Wrap RA. 

ra = ra % (2.0 * np.pi) 

return ra, dec 

 

 

def wrapRA(ra): 

""" 

Wrap only RA values into 0-2pi (using mod). 

 

Parameters 

---------- 

ra : numpy.ndarray 

RA in radians 

 

Returns 

------- 

numpy.ndarray 

Wrapped RA values, in radians. 

""" 

ra = ra % (2.0 * np.pi) 

return ra 

 

 

def inHexagon(xOff, yOff, maxDither): 

""" 

Identify dither offsets which fall within the inscribed hexagon. 

 

Parameters 

---------- 

xOff : numpy.ndarray 

The x values of the dither offsets. 

yoff : numpy.ndarray 

The y values of the dither offsets. 

maxDither : float 

The maximum dither offset. 

 

Returns 

------- 

numpy.ndarray 

Indexes of the offsets which are within the hexagon inscribed inside the 'maxDither' radius circle. 

""" 

# Set up the hexagon limits. 

# y = mx + b, 2h is the height. 

m = np.sqrt(3.0) 

b = m * maxDither 

h = m / 2.0 * maxDither 

# Identify offsets inside hexagon. 

inside = np.where((yOff < m * xOff + b) & 

(yOff > m * xOff - b) & 

(yOff < -m * xOff + b) & 

(yOff > -m * xOff - b) & 

(yOff < h) & (yOff > -h))[0] 

return inside 

 

 

def polygonCoords(nside, radius, rotationAngle): 

""" 

Find the x,y coords of a polygon. 

 

This is useful for plotting dither points and showing they lie within 

a given shape. 

 

Parameters 

---------- 

nside : int 

The number of sides of the polygon 

radius : float 

The radius within which to plot the polygon 

rotationAngle : float 

The angle to rotate the polygon to. 

 

Returns 

------- 

[float, float] 

List of x/y coordinates of the points describing the polygon. 

""" 

eachAngle = 2 * np.pi / float(nside) 

xCoords = np.zeros(nside, float) 

yCoords = np.zeros(nside, float) 

for i in range(0, nside): 

xCoords[i] = np.sin(eachAngle * i + rotationAngle) * radius 

yCoords[i] = np.cos(eachAngle * i + rotationAngle) * radius 

return list(zip(xCoords, yCoords)) 

 

 

class BaseDitherStacker(BaseStacker): 

"""Base class for dither stackers. 

 

The base class just adds an easy way to define a stacker as one of the 'dither' types of stackers. 

These run first, before any other stackers. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

colsAdded = [] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, 

maxDither=1.75, inHex=True): 

# Instantiate the RandomDither object and set internal variables. 

self.raCol = raCol 

self.decCol = decCol 

self.degrees = degrees 

# Convert maxDither to radians for internal use. 

self.maxDither = np.radians(maxDither) 

self.inHex = inHex 

# self.units used for plot labels 

182 ↛ 185line 182 didn't jump to line 185, because the condition on line 182 was never false if self.degrees: 

self.units = ['deg', 'deg'] 

else: 

self.units = ['rad', 'rad'] 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.raCol, self.decCol] 

 

 

class RandomDitherFieldPerVisitStacker(BaseDitherStacker): 

""" 

Randomly dither the RA and Dec pointings up to maxDither degrees from center, 

with a different offset for each field, for each visit. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

randomSeed : int, optional 

If set, then used as the random seed for the numpy random number generation for the dither offsets. 

Default None. 

""" 

# Values required for framework operation: this specifies the name of the new columns. 

colsAdded = ['randomDitherFieldPerVisitRa', 'randomDitherFieldPerVisitDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, maxDither=1.75, 

inHex=True, randomSeed=None): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, maxDither=maxDither, inHex=inHex) 

self.randomSeed = randomSeed 

 

def _generateRandomOffsets(self, noffsets): 

xOut = np.array([], float) 

yOut = np.array([], float) 

maxTries = 100 

tries = 0 

while (len(xOut) < noffsets) and (tries < maxTries): 

dithersRad = np.sqrt(self._rng.rand(noffsets * 2)) * self.maxDither 

dithersTheta = self._rng.rand(noffsets * 2) * np.pi * 2.0 

xOff = dithersRad * np.cos(dithersTheta) 

yOff = dithersRad * np.sin(dithersTheta) 

237 ↛ 242line 237 didn't jump to line 242, because the condition on line 237 was never false if self.inHex: 

# Constrain dither offsets to be within hexagon. 

idx = inHexagon(xOff, yOff, self.maxDither) 

xOff = xOff[idx] 

yOff = yOff[idx] 

xOut = np.concatenate([xOut, xOff]) 

yOut = np.concatenate([yOut, yOff]) 

tries += 1 

245 ↛ 246line 245 didn't jump to line 246, because the condition on line 245 was never true if len(xOut) < noffsets: 

raise ValueError('Could not find enough random points within the hexagon in %d tries. ' 

'Try another random seed?' % (maxTries)) 

self.xOff = xOut[0:noffsets] 

self.yOff = yOut[0:noffsets] 

 

def _run(self, simData, cols_present=False): 

252 ↛ 254line 252 didn't jump to line 254, because the condition on line 252 was never true if cols_present: 

# Column already present in data; assume it is correct and does not need recalculating. 

return simData 

# Generate random numbers for dither, using defined seed value if desired. 

256 ↛ 263line 256 didn't jump to line 263, because the condition on line 256 was never false if not hasattr(self, '_rng'): 

257 ↛ 258line 257 didn't jump to line 258, because the condition on line 257 was never true if self.randomSeed is not None: 

self._rng = np.random.RandomState(self.randomSeed) 

else: 

self._rng = np.random.RandomState(2178813) 

 

# Generate the random dither values. 

noffsets = len(simData[self.raCol]) 

self._generateRandomOffsets(noffsets) 

# Add to RA and dec values. 

266 ↛ 270line 266 didn't jump to line 270, because the condition on line 266 was never false if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

simData['randomDitherFieldPerVisitRa'] = (ra + self.xOff / np.cos(dec)) 

simData['randomDitherFieldPerVisitDec'] = dec + self.yOff 

# Wrap back into expected range. 

simData['randomDitherFieldPerVisitRa'], simData['randomDitherFieldPerVisitDec'] = \ 

wrapRADec(simData['randomDitherFieldPerVisitRa'], simData['randomDitherFieldPerVisitDec']) 

# Convert to degrees 

278 ↛ 281line 278 didn't jump to line 281, because the condition on line 278 was never false if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class RandomDitherFieldPerNightStacker(RandomDitherFieldPerVisitStacker): 

""" 

Randomly dither the RA and Dec pointings up to maxDither degrees from center, 

one dither offset per new night of observation of a field. 

e.g. visits within the same night, to the same field, have the same offset. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

randomSeed : int, optional 

If set, then used as the random seed for the numpy random number generation for the dither offsets. 

Default None. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['randomDitherFieldPerNightRa', 'randomDitherFieldPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, fieldIdCol='fieldId', 

nightCol='night', maxDither=1.75, inHex=True, randomSeed=None): 

""" 

@ MaxDither in degrees 

""" 

# Instantiate the RandomDither object and set internal variables. 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, 

maxDither=maxDither, inHex=inHex, randomSeed=randomSeed) 

self.nightCol = nightCol 

self.fieldIdCol = fieldIdCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.raCol, self.decCol, self.nightCol, self.fieldIdCol] 

 

def _run(self, simData, cols_present=False): 

if cols_present: 

return simData 

# Generate random numbers for dither, using defined seed value if desired. 

if not hasattr(self, '_rng'): 

if self.randomSeed is not None: 

self._rng = np.random.RandomState(self.randomSeed) 

else: 

self._rng = np.random.RandomState(872453) 

 

# Generate the random dither values, one per night per field. 

fields = np.unique(simData[self.fieldIdCol]) 

nights = np.unique(simData[self.nightCol]) 

self._generateRandomOffsets(len(fields) * len(nights)) 

if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

# counter to ensure new random numbers are chosen every time 

delta = 0 

for fieldid in np.unique(simData[self.fieldIdCol]): 

# Identify observations of this field. 

match = np.where(simData[self.fieldIdCol] == fieldid)[0] 

# Apply dithers, increasing each night. 

nights = simData[self.nightCol][match] 

vertexIdxs = np.searchsorted(np.unique(nights), nights) 

vertexIdxs = vertexIdxs % len(self.xOff) 

# ensure that the same xOff/yOff entries are not chosen 

delta = delta + len(vertexIdxs) 

simData['randomDitherFieldPerNightRa'][match] = (ra[match] + 

self.xOff[vertexIdxs] / 

np.cos(dec[match])) 

simData['randomDitherFieldPerNightDec'][match] = (dec[match] + 

self.yOff[vertexIdxs]) 

# Wrap into expected range. 

simData['randomDitherFieldPerNightRa'], simData['randomDitherFieldPerNightDec'] = \ 

wrapRADec(simData['randomDitherFieldPerNightRa'], simData['randomDitherFieldPerNightDec']) 

if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class RandomDitherPerNightStacker(RandomDitherFieldPerVisitStacker): 

""" 

Randomly dither the RA and Dec pointings up to maxDither degrees from center, 

one dither offset per night. 

All fields observed within the same night get the same offset. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

randomSeed : int, optional 

If set, then used as the random seed for the numpy random number generation for the dither offsets. 

Default None. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['randomDitherPerNightRa', 'randomDitherPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, nightCol='night', 

maxDither=1.75, inHex=True, randomSeed=None): 

""" 

@ MaxDither in degrees 

""" 

# Instantiate the RandomDither object and set internal variables. 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, 

maxDither=maxDither, inHex=inHex, randomSeed=randomSeed) 

self.nightCol = nightCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.raCol, self.decCol, self.nightCol] 

 

def _run(self, simData, cols_present=False): 

425 ↛ 426line 425 didn't jump to line 426, because the condition on line 425 was never true if cols_present: 

return simData 

# Generate random numbers for dither, using defined seed value if desired. 

428 ↛ 435line 428 didn't jump to line 435, because the condition on line 428 was never false if not hasattr(self, '_rng'): 

429 ↛ 430line 429 didn't jump to line 430, because the condition on line 429 was never true if self.randomSeed is not None: 

self._rng = np.random.RandomState(self.randomSeed) 

else: 

self._rng = np.random.RandomState(66334) 

 

# Generate the random dither values, one per night. 

nights = np.unique(simData[self.nightCol]) 

self._generateRandomOffsets(len(nights)) 

437 ↛ 441line 437 didn't jump to line 441, because the condition on line 437 was never false if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

# Add to RA and dec values. 

for n, x, y in zip(nights, self.xOff, self.yOff): 

match = np.where(simData[self.nightCol] == n)[0] 

simData['randomDitherPerNightRa'][match] = (ra[match] + 

x / np.cos(dec[match])) 

simData['randomDitherPerNightDec'][match] = dec[match] + y 

# Wrap RA/Dec into expected range. 

simData['randomDitherPerNightRa'], simData['randomDitherPerNightDec'] = \ 

wrapRADec(simData['randomDitherPerNightRa'], simData['randomDitherPerNightDec']) 

452 ↛ 455line 452 didn't jump to line 455, because the condition on line 452 was never false if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class SpiralDitherFieldPerVisitStacker(BaseDitherStacker): 

""" 

Offset along an equidistant spiral with numPoints, out to a maximum radius of maxDither. 

Each visit to a field receives a new, sequential offset. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

numPoints : int, optional 

The number of points in the spiral. 

Default 60. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

nCoils : int, optional 

The number of coils the spiral should have. 

Default 5. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['spiralDitherFieldPerVisitRa', 'spiralDitherFieldPerVisitDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, fieldIdCol='fieldId', 

numPoints=60, maxDither=1.75, nCoils=5, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, maxDither=maxDither, inHex=inHex) 

self.fieldIdCol = fieldIdCol 

# Convert maxDither from degrees (internal units for ra/dec are radians) 

self.numPoints = numPoints 

self.nCoils = nCoils 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.raCol, self.decCol, self.fieldIdCol] 

 

def _generateSpiralOffsets(self): 

# First generate a full archimedean spiral .. 

theta = np.arange(0.0001, self.nCoils * np.pi * 2., 0.001) 

a = self.maxDither/theta.max() 

511 ↛ 513line 511 didn't jump to line 513, because the condition on line 511 was never false if self.inHex: 

a = 0.85 * a 

r = theta * a 

# Then pick out equidistant points along the spiral. 

arc = a / 2.0 * (theta * np.sqrt(1 + theta**2) + np.log(theta + np.sqrt(1 + theta**2))) 

stepsize = arc.max()/float(self.numPoints) 

arcpts = np.arange(0, arc.max(), stepsize) 

arcpts = arcpts[0:self.numPoints] 

rpts = np.zeros(self.numPoints, float) 

thetapts = np.zeros(self.numPoints, float) 

for i, ap in enumerate(arcpts): 

diff = np.abs(arc - ap) 

match = np.where(diff == diff.min())[0] 

rpts[i] = r[match] 

thetapts[i] = theta[match] 

# Translate these r/theta points into x/y (ra/dec) offsets. 

self.xOff = rpts * np.cos(thetapts) 

self.yOff = rpts * np.sin(thetapts) 

 

def _run(self, simData, cols_present=False): 

if cols_present: 

return simData 

# Generate the spiral offset vertices. 

self._generateSpiralOffsets() 

# Now apply to observations. 

if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

for fieldid in np.unique(simData[self.fieldIdCol]): 

match = np.where(simData[self.fieldIdCol] == fieldid)[0] 

# Apply sequential dithers, increasing with each visit. 

vertexIdxs = np.arange(0, len(match), 1) 

vertexIdxs = vertexIdxs % self.numPoints 

simData['spiralDitherFieldPerVisitRa'][match] = (ra[match] + 

self.xOff[vertexIdxs] / 

np.cos(dec[match])) 

simData['spiralDitherFieldPerVisitDec'][match] = (dec[match] + 

self.yOff[vertexIdxs]) 

# Wrap into expected range. 

simData['spiralDitherFieldPerVisitRa'], simData['spiralDitherFieldPerVisitDec'] = \ 

wrapRADec(simData['spiralDitherFieldPerVisitRa'], simData['spiralDitherFieldPerVisitDec']) 

if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class SpiralDitherFieldPerNightStacker(SpiralDitherFieldPerVisitStacker): 

""" 

Offset along an equidistant spiral with numPoints, out to a maximum radius of maxDither. 

Each field steps along a sequential series of offsets, each night it is observed. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

numPoints : int, optional 

The number of points in the spiral. 

Default 60. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

nCoils : int, optional 

The number of coils the spiral should have. 

Default 5. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['spiralDitherFieldPerNightRa', 'spiralDitherFieldPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, fieldIdCol='fieldId', 

nightCol='night', numPoints=60, maxDither=1.75, nCoils=5, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, fieldIdCol=fieldIdCol, 

numPoints=numPoints, maxDither=maxDither, nCoils=nCoils, inHex=inHex) 

self.nightCol = nightCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq.append(self.nightCol) 

 

def _run(self, simData, cols_present=False): 

if cols_present: 

return simData 

self._generateSpiralOffsets() 

if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

for fieldid in np.unique(simData[self.fieldIdCol]): 

# Identify observations of this field. 

match = np.where(simData[self.fieldIdCol] == fieldid)[0] 

# Apply a sequential dither, increasing each night. 

nights = simData[self.nightCol][match] 

vertexIdxs = np.searchsorted(np.unique(nights), nights) 

vertexIdxs = vertexIdxs % self.numPoints 

simData['spiralDitherFieldPerNightRa'][match] = (ra[match] + 

self.xOff[vertexIdxs] / 

np.cos(dec[match])) 

simData['spiralDitherFieldPerNightDec'][match] = (dec[match] + 

self.yOff[vertexIdxs]) 

# Wrap into expected range. 

simData['spiralDitherFieldPerNightRa'], simData['spiralDitherFieldPerNightDec'] = \ 

wrapRADec(simData['spiralDitherFieldPerNightRa'], simData['spiralDitherFieldPerNightDec']) 

if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class SpiralDitherPerNightStacker(SpiralDitherFieldPerVisitStacker): 

""" 

Offset along an equidistant spiral with numPoints, out to a maximum radius of maxDither. 

All fields observed in the same night receive the same sequential offset, changing per night. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

numPoints : int, optional 

The number of points in the spiral. 

Default 60. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

nCoils : int, optional 

The number of coils the spiral should have. 

Default 5. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['spiralDitherPerNightRa', 'spiralDitherPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, fieldIdCol='fieldId', 

nightCol='night', numPoints=60, maxDither=1.75, nCoils=5, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, fieldIdCol=fieldIdCol, 

numPoints=numPoints, maxDither=maxDither, nCoils=nCoils, inHex=inHex) 

self.nightCol = nightCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq.append(self.nightCol) 

 

def _run(self, simData, cols_present=False): 

693 ↛ 694line 693 didn't jump to line 694, because the condition on line 693 was never true if cols_present: 

return simData 

self._generateSpiralOffsets() 

nights = np.unique(simData[self.nightCol]) 

697 ↛ 701line 697 didn't jump to line 701, because the condition on line 697 was never false if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

# Add to RA and dec values. 

vertexIdxs = np.searchsorted(nights, simData[self.nightCol]) 

vertexIdxs = vertexIdxs % self.numPoints 

simData['spiralDitherPerNightRa'] = (ra + 

self.xOff[vertexIdxs] / np.cos(dec)) 

simData['spiralDitherPerNightDec'] = dec + self.yOff[vertexIdxs] 

# Wrap RA/Dec into expected range. 

simData['spiralDitherPerNightRa'], simData['spiralDitherPerNightDec'] = \ 

wrapRADec(simData['spiralDitherPerNightRa'], simData['spiralDitherPerNightDec']) 

712 ↛ 715line 712 didn't jump to line 715, because the condition on line 712 was never false if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class HexDitherFieldPerVisitStacker(BaseDitherStacker): 

""" 

Use offsets from the hexagonal grid of 'hexdither', but visit each vertex sequentially. 

Sequential offset for each visit. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['hexDitherFieldPerVisitRa', 'hexDitherFieldPerVisitDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, 

fieldIdCol='fieldId', maxDither=1.75, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, maxDither=maxDither, inHex=inHex) 

self.fieldIdCol = fieldIdCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.raCol, self.decCol, self.fieldIdCol] 

 

def _generateHexOffsets(self): 

# Set up basics of dither pattern. 

dith_level = 4 

nrows = 2**dith_level 

halfrows = int(nrows / 2.) 

# Calculate size of each offset 

dith_size_x = self.maxDither * 2.0 / float(nrows) 

dith_size_y = np.sqrt(3) * self.maxDither / float(nrows) # sqrt 3 comes from hexagon 

766 ↛ 770line 766 didn't jump to line 770, because the condition on line 766 was never false if self.inHex: 

dith_size_x = 0.95 * dith_size_x 

dith_size_y = 0.95 * dith_size_y 

# Calculate the row identification number, going from 0 at center 

nid_row = np.arange(-halfrows, halfrows + 1, 1) 

# and calculate the number of vertices in each row. 

vert_in_row = np.arange(-halfrows, halfrows + 1, 1) 

# First calculate how many vertices we will create in each row. 

total_vert = 0 

for i in range(-halfrows, halfrows + 1, 1): 

vert_in_row[i] = (nrows+1) - abs(nid_row[i]) 

total_vert += vert_in_row[i] 

self.numPoints = total_vert 

self.xOff = [] 

self.yOff = [] 

# Calculate offsets over hexagonal grid. 

for i in range(0, nrows+1, 1): 

for j in range(0, vert_in_row[i], 1): 

self.xOff.append(dith_size_x * (j - (vert_in_row[i] - 1) / 2.0)) 

self.yOff.append(dith_size_y * nid_row[i]) 

self.xOff = np.array(self.xOff) 

self.yOff = np.array(self.yOff) 

 

def _run(self, simData, cols_present=False): 

if cols_present: 

return simData 

self._generateHexOffsets() 

if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

for fieldid in np.unique(simData[self.fieldIdCol]): 

# Identify observations of this field. 

match = np.where(simData[self.fieldIdCol] == fieldid)[0] 

# Apply sequential dithers, increasing with each visit. 

vertexIdxs = np.arange(0, len(match), 1) 

vertexIdxs = vertexIdxs % self.numPoints 

simData['hexDitherFieldPerVisitRa'][match] = (ra[match] + 

self.xOff[vertexIdxs] / 

np.cos(dec[match])) 

simData['hexDitherFieldPerVisitDec'][match] = dec[match] + self.yOff[vertexIdxs] 

# Wrap into expected range. 

simData['hexDitherFieldPerVisitRa'], simData['hexDitherFieldPerVisitDec'] = \ 

wrapRADec(simData['hexDitherFieldPerVisitRa'], simData['hexDitherFieldPerVisitDec']) 

if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class HexDitherFieldPerNightStacker(HexDitherFieldPerVisitStacker): 

""" 

Use offsets from the hexagonal grid of 'hexdither', but visit each vertex sequentially. 

Sequential offset for each night of visits. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['hexDitherFieldPerNightRa', 'hexDitherFieldPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, 

fieldIdCol='fieldId', nightCol='night', 

maxDither=1.75, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, fieldIdCol=fieldIdCol, 

degrees=degrees, maxDither=maxDither, inHex=inHex) 

self.nightCol = nightCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq.append(self.nightCol) 

 

def _run(self, simData, cols_present=False): 

if cols_present: 

return simData 

self._generateHexOffsets() 

if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

for fieldid in np.unique(simData[self.fieldIdCol]): 

# Identify observations of this field. 

match = np.where(simData[self.fieldIdCol] == fieldid)[0] 

# Apply a sequential dither, increasing each night. 

vertexIdxs = np.arange(0, len(match), 1) 

nights = simData[self.nightCol][match] 

vertexIdxs = np.searchsorted(np.unique(nights), nights) 

vertexIdxs = vertexIdxs % self.numPoints 

simData['hexDitherFieldPerNightRa'][match] = (ra[match] + 

self.xOff[vertexIdxs] / 

np.cos(dec[match])) 

simData['hexDitherFieldPerNightDec'][match] = (dec[match] + 

self.yOff[vertexIdxs]) 

# Wrap into expected range. 

simData['hexDitherFieldPerNightRa'], simData['hexDitherFieldPerNightDec'] = \ 

wrapRADec(simData['hexDitherFieldPerNightRa'], simData['hexDitherFieldPerNightDec']) 

if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class HexDitherPerNightStacker(HexDitherFieldPerVisitStacker): 

""" 

Use offsets from the hexagonal grid of 'hexdither', but visit each vertex sequentially. 

Sequential offset per night for all fields. 

 

Parameters 

---------- 

raCol : str, optional 

The name of the RA column in the data. 

Default 'fieldRA'. 

decCol : str, optional 

The name of the Dec column in the data. 

Default 'fieldDec'. 

degrees : bool, optional 

Flag whether RA/Dec should be treated as (and kept as) degrees. 

fieldIdCol : str, optional 

The name of the fieldId column in the data. 

Used to identify fields which should be identified as the 'same'. 

Default 'fieldId'. 

nightCol : str, optional 

The name of the night column in the data. 

Default 'night'. 

maxDither : float, optional 

The radius of the maximum dither offset, in degrees. 

Default 1.75 degrees. 

inHex : bool, optional 

If True, offsets are constrained to lie within a hexagon inscribed within the maxDither circle. 

If False, offsets can lie anywhere out to the edges of the maxDither circle. 

Default True. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['hexDitherPerNightRa', 'hexDitherPerNightDec'] 

 

def __init__(self, raCol='fieldRA', decCol='fieldDec', degrees=True, fieldIdCol='fieldId', 

nightCol='night', maxDither=1.75, inHex=True): 

""" 

@ MaxDither in degrees 

""" 

super().__init__(raCol=raCol, decCol=decCol, degrees=degrees, 

fieldIdCol=fieldIdCol, maxDither=maxDither, inHex=inHex) 

self.nightCol = nightCol 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq.append(self.nightCol) 

self.addedRA = self.colsAdded[0] 

self.addedDec = self.colsAdded[1] 

 

def _run(self, simData, cols_present=False): 

942 ↛ 943line 942 didn't jump to line 943, because the condition on line 942 was never true if cols_present: 

return simData 

# Generate the spiral dither values 

self._generateHexOffsets() 

nights = np.unique(simData[self.nightCol]) 

947 ↛ 951line 947 didn't jump to line 951, because the condition on line 947 was never false if self.degrees: 

ra = np.radians(simData[self.raCol]) 

dec = np.radians(simData[self.decCol]) 

else: 

ra = simData[self.raCol] 

dec = simData[self.decCol] 

# Add to RA and dec values. 

vertexID = 0 

for n in nights: 

match = np.where(simData[self.nightCol] == n)[0] 

vertexID = vertexID % self.numPoints 

simData[self.addedRA][match] = (ra[match] + self.xOff[vertexID] / np.cos(dec[match])) 

simData[self.addedDec][match] = dec[match] + self.yOff[vertexID] 

vertexID += 1 

# Wrap RA/Dec into expected range. 

simData[self.addedRA], simData[self.addedDec] = \ 

wrapRADec(simData[self.addedRA], simData[self.addedDec]) 

964 ↛ 967line 964 didn't jump to line 967, because the condition on line 964 was never false if self.degrees: 

for col in self.colsAdded: 

simData[col] = np.degrees(simData[col]) 

return simData 

 

 

class RandomRotDitherPerFilterChangeStacker(BaseDitherStacker): 

""" 

Randomly dither the physical angle of the telescope rotator wrt the mount, 

after every filter change. 

 

Parameters 

---------- 

rotTelCol : str, optional 

The name of the column in the data specifying the physical angle 

of the telescope rotator wrt. the mount. 

Default: 'rotTelPos'. 

filterCol : str, optional 

The name of the filter column in the data. 

Default: 'filter'. 

degrees : boolean, optional 

True if angles in the database are in degrees (default). 

If True, returned dithered values are in degrees also. 

If False, angles assumed to be in radians and returned in radians. 

maxDither : float, optional 

Abs(maximum) rotational dither, in degrees. The dithers then will be 

between -maxDither to maxDither. 

Default: 90 degrees. 

maxRotAngle : float, optional 

Maximum rotator angle possible for the camera. Default 90 degrees. 

minRotAngle : float, optional 

Minimum rotator angle possible for the camera. Default -90 degrees. 

randomSeed: int, optional 

If set, then used as the random seed for the numpy random number 

generation for the dither offsets. 

Default: None. 

""" 

# Values required for framework operation: this specifies the names of the new columns. 

colsAdded = ['randomDitherPerFilterChangeRotTelPos'] 

 

def __init__(self, rotTelCol= 'rotTelPos', filterCol= 'filter', degrees=True, 

maxDither= 90., maxRotAngle=90, minRotAngle=-90, randomSeed=None): 

""" 

@ MaxDither in degrees. 

""" 

# Instantiate the RandomDither object and set internal variables. 

self.rotTelCol = rotTelCol 

self.filterCol = filterCol 

self.degrees = degrees 

self.maxDither = maxDither 

self.maxRotAngle = maxRotAngle 

self.minRotAngle = minRotAngle 

self.randomSeed = randomSeed 

# self.units used for plot labels 

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self.units = ['deg'] 

else: 

self.units = ['rad'] 

# Values required for framework operation: this specifies the data columns required from the database. 

self.colsReq = [self.rotTelCol, self.filterCol] 

 

def _run(self, simData, cols_present=False): 

# Just go ahead and return if the columns were already in place. 

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return simData 

# Generate random numbers for dither, using defined seed value if desired. 

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1031 ↛ 1034line 1031 didn't jump to line 1034, because the condition on line 1031 was never false if self.randomSeed is not None: 

self._rng = np.random.RandomState(self.randomSeed) 

else: 

self._rng = np.random.RandomState(544320) 

 

# Identify points where the filter changes. 

changeIdxs = np.where(simData[self.filterCol][1:] != simData[self.filterCol][:-1])[0] 

 

1039 ↛ 1040line 1039 didn't jump to line 1040, because the condition on line 1039 was never true if len(changeIdxs) == 0: 

rotOffset = 0 

 

else: 

# Calculate random offsets between +/- self.maxDither -- in degrees. 

randomOffsets = self._rng.rand(len(changeIdxs)) * 2.0 * self.maxDither - self.maxDither 

 

rotOffset = np.zeros(len(simData), float) 

for i, (c, cn) in enumerate(zip(changeIdxs, changeIdxs[1:])): 

rotOffset[c+1:cn+1] = randomOffsets[i] 

rotOffset[changeIdxs[-1]+1:] = randomOffsets[-1] 

 

# Add the random offsets to the RotTelPos values and convert to radians if required. 

1052 ↛ 1053line 1052 didn't jump to line 1053, because the condition on line 1052 was never true if not self.degrees: 

rotOffset = np.radians(rotOffset) 

rotDither = 'randomDitherPerFilterChangeRotTelPos' 

simData[rotDither] = simData[self.rotTelCol] + rotOffset 

 

# BUT the camera rotator cannot go further than +/- 90 degrees. 

# Without a better alternative, let's just cut off any values which exceed this range. 

maxRotTelPos = self.maxRotAngle 

minRotTelPos = self.minRotAngle 

1061 ↛ 1062line 1061 didn't jump to line 1062, because the condition on line 1061 was never true if not self.degrees: 

maxRotTelPos = np.radians(maxRotTelPos) 

minRotTelPos = np.radians(minRotTelPos) 

simData[rotDither] = np.where(simData[rotDither] > maxRotTelPos, maxRotTelPos, simData[rotDither]) 

simData[rotDither] = np.where(simData[rotDither] < minRotTelPos, minRotTelPos, simData[rotDither]) 

return simData