diff --git a/analyse.sh b/analyse.sh new file mode 100644 index 0000000..7435b6f --- /dev/null +++ b/analyse.sh @@ -0,0 +1,5 @@ +#!/usr/bin/env bash + +# This script is meant to encapsulate all functions in proper order to produce +# the analyses. Parameters that this script should control: Δt, σ type, input +# dataset(lightcurve directory), more? \ No newline at end of file diff --git a/data/STORM_III/raw/aggregate.csv b/data/STORM_III/raw/aggregate.csv new file mode 100644 index 0000000..061fdb2 --- /dev/null +++ b/data/STORM_III/raw/aggregate.csv @@ -0,0 +1,3963 @@ +filter,Lambda,HJD,flux,eflux,mag,emag,telescopeID +HST1158,1157,56690.61198,3.2400e-14,8.9000e-16,15.9982,0.0298,-1 +HST1158,1157,56691.54161,3.4800e-14,9.2000e-16,15.9206,0.0287,-1 +HST1158,1157,56692.39404,3.7500e-14,9.5000e-16,15.8395,0.0275,-1 +HST1158,1157,56693.32371,3.9100e-14,9.8000e-16,15.7941,0.0272,-1 +HST1158,1157,56695.27006,4.1100e-14,9.9000e-16,15.7399,0.0262,-1 +HST1158,1157,56696.24593,4.5900e-14,1.0500e-15,15.6200,0.0248,-1 +HST1158,1157,56697.30802,4.8700e-14,1.0800e-15,15.5557,0.0241,-1 +HST1158,1157,56698.30411,5.2500e-14,1.1300e-15,15.4741,0.0234,-1 +HST1158,1157,56699.23377,4.9300e-14,1.1000e-15,15.5424,0.0242,-1 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56732.71856 2.2000e-14 5.1500e-16 15.3106 0.0254 -1 +UVW2 1928 56732.98255 2.1400e-14 5.0100e-16 15.3406 0.0254 -1 +UVW2 1928 56733.23455 2.1400e-14 4.9200e-16 15.3406 0.0250 -1 +UVW2 1928 56733.57754 2.1000e-14 4.9700e-16 15.3611 0.0257 -1 +UVW2 1928 56733.97354 2.1500e-14 5.0200e-16 15.3355 0.0254 -1 +UVW2 1928 56734.24053 2.2400e-14 5.0700e-16 15.2910 0.0246 -1 +UVW2 1928 56734.51453 2.2100e-14 5.2400e-16 15.3056 0.0257 -1 +UVW2 1928 56734.89952 2.3500e-14 5.5600e-16 15.2389 0.0257 -1 +UVW2 1928 56735.30051 2.4000e-14 5.4200e-16 15.2161 0.0245 -1 +UVW2 1928 56735.64050 2.4200e-14 5.6500e-16 15.2071 0.0253 -1 +UVW2 1928 56736.30149 2.6400e-14 5.9900e-16 15.1126 0.0246 -1 +UVW2 1928 56736.56649 2.6400e-14 6.1800e-16 15.1126 0.0254 -1 +UVW2 1928 56736.89948 2.7900e-14 6.5000e-16 15.0526 0.0253 -1 +UVW2 1928 56737.51346 2.8300e-14 6.7300e-16 15.0371 0.0258 -1 +UVW2 1928 56737.90046 2.7600e-14 6.6000e-16 15.0643 0.0260 -1 +UVW2 1928 56738.23445 2.8500e-14 6.4900e-16 15.0295 0.0247 -1 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56774.72381 3.4400e-14 8.1600e-16 14.8252 0.0258 -1 +UVW2 1928 56775.58076 3.3800e-14 7.6600e-16 14.8443 0.0246 -1 +UVW2 1928 56776.04073 3.4200e-14 7.7300e-16 14.8315 0.0245 -1 +UVW2 1928 56776.24172 3.3700e-14 7.4700e-16 14.8475 0.0241 -1 +UVW2 1928 56776.97567 3.2900e-14 7.8000e-16 14.8736 0.0257 -1 +UVW2 1928 56777.37564 3.3200e-14 8.3700e-16 14.8638 0.0274 -1 +UVW2 1928 56777.52164 3.0800e-14 7.1900e-16 14.9452 0.0253 -1 +UVW2 1928 56778.58757 3.2600e-14 7.5500e-16 14.8836 0.0251 -1 +UVW2 1928 56779.38051 3.1300e-14 7.3500e-16 14.9277 0.0255 -1 +UVW2 1928 56779.85248 3.2500e-14 7.4300e-16 14.8869 0.0248 -1 +UVW2 1928 56780.25246 3.1100e-14 7.1700e-16 14.9347 0.0250 -1 +UVW2 1928 56780.52144 3.2700e-14 7.7800e-16 14.8802 0.0258 -1 +UVW2 1928 56780.58743 3.2600e-14 7.6800e-16 14.8836 0.0256 -1 +UVW2 1928 56782.09933 3.1400e-14 7.2100e-16 14.9243 0.0249 -1 +UVW2 1928 56782.31032 3.1300e-14 7.0600e-16 14.9277 0.0245 -1 +UVW2 1928 56782.70629 3.1700e-14 7.3500e-16 14.9140 0.0252 -1 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56800.46101 1.3468e-14 2.5034e-16 13.2245 0.0202 2 +R 6439 56800.77419 1.3392e-14 3.8458e-17 13.2306 0.0031 4 +R 6439 56801.42776 1.3423e-14 2.1901e-17 13.2281 0.0018 1 +R 6439 56802.35871 1.3567e-14 2.3771e-16 13.2166 0.0190 2 +R 6439 56802.35967 1.3358e-14 2.9031e-17 13.2334 0.0024 1 +R 6439 56802.39694 1.3327e-14 8.6631e-17 13.2359 0.0071 3 +R 6439 56803.22259 1.3405e-14 9.1857e-17 13.2296 0.0074 3 +R 6439 56803.34016 1.3438e-14 4.2479e-17 13.2269 0.0034 1 +R 6439 56804.39995 1.3411e-14 2.6984e-17 13.2291 0.0022 1 +R 6439 56804.79155 1.3373e-14 3.8581e-17 13.2322 0.0031 4 +R 6439 56805.43803 1.3355e-14 2.7686e-16 13.2337 0.0225 2 +R 6439 56806.41473 1.3165e-14 1.8669e-16 13.2492 0.0154 2 +R 6439 56807.36620 1.3200e-14 1.6693e-16 13.2463 0.0137 2 +R 6439 56808.74427 1.3216e-14 5.4774e-17 13.2450 0.0045 4 +R 6439 56810.33555 1.3344e-14 4.4912e-17 13.2345 0.0037 1 +R 6439 56811.33532 1.3467e-14 3.5194e-17 13.2246 0.0028 1 +R 6439 56812.79921 1.3474e-14 3.9135e-17 13.2240 0.0032 4 +R 6439 56813.79090 1.3489e-14 3.9439e-17 13.2228 0.0032 4 +R 6439 56814.71648 1.3446e-14 4.2879e-17 13.2263 0.0035 4 +R 6439 56815.40513 1.3513e-14 7.6174e-17 13.2209 0.0061 1 +R 6439 56817.39027 1.3814e-14 2.6763e-17 13.1970 0.0021 1 +R 6439 56817.42227 1.3508e-14 1.5537e-16 13.2213 0.0125 2 +R 6439 56818.37198 1.4322e-14 1.8030e-16 13.1578 0.0137 2 +R 6439 56818.80713 1.4003e-14 5.2857e-17 13.1822 0.0041 4 +R 6439 56819.43218 1.3783e-14 1.4352e-16 13.1994 0.0113 2 +R 6439 56820.81405 1.4233e-14 7.0262e-17 13.1645 0.0054 4 +R 6439 56821.73168 1.4386e-14 6.4871e-17 13.1529 0.0049 4 +R 6439 56822.31349 1.4059e-14 4.0318e-17 13.1779 0.0031 1 +R 6439 56822.40325 1.4163e-14 1.6233e-16 13.1699 0.0124 2 +R 6439 56823.35100 1.4074e-14 1.7815e-17 13.1767 0.0014 1 +R 6439 56824.37249 1.4191e-14 1.5729e-16 13.1677 0.0120 2 +R 6439 56824.37408 1.4163e-14 4.9727e-17 13.1699 0.0038 1 +R 6439 56825.40733 1.4158e-14 4.6769e-17 13.1703 0.0036 1 +R 6439 56825.43322 1.4293e-14 2.8460e-16 13.1600 0.0216 2 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1 +R 6439 56839.75186 1.3490e-14 4.3343e-17 13.2227 0.0035 4 +R 6439 56840.78037 1.3640e-14 4.6477e-17 13.2107 0.0037 4 +R 6439 56841.82767 1.3634e-14 8.5268e-17 13.2112 0.0068 4 +R 6439 56844.36368 1.3530e-14 3.3987e-17 13.2195 0.0027 1 +R 6439 56845.28141 1.3433e-14 1.4186e-17 13.2273 0.0011 1 +R 6439 56846.34110 1.3384e-14 1.8309e-17 13.2313 0.0015 1 +R 6439 56846.78281 1.3473e-14 5.2071e-17 13.2241 0.0042 4 +R 6439 56848.29301 1.3091e-14 1.2573e-17 13.2553 0.0010 1 +R 6439 56850.29872 1.3133e-14 1.4752e-17 13.2519 0.0012 1 +R 6439 56852.28364 1.2990e-14 2.5985e-17 13.2637 0.0022 1 +R 6439 56853.31290 1.2927e-14 1.6604e-17 13.2690 0.0014 1 +R 6439 56854.30564 1.2791e-14 1.4360e-17 13.2805 0.0012 1 +R 6439 56855.76047 1.2647e-14 4.4586e-17 13.2928 0.0038 4 +R 6439 56856.24426 1.2705e-14 7.9139e-17 13.2878 0.0068 3 +R 6439 56856.74788 1.2803e-14 5.4792e-17 13.2795 0.0046 4 +R 6439 56857.25654 1.2788e-14 2.6603e-17 13.2808 0.0023 1 +R 6439 56858.29198 1.2980e-14 2.4266e-17 13.2646 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13.1429 0.0062 5 +i 7647 56703.88218 1.0341e-14 2.8286e-17 13.1381 0.0030 5 +i 7647 56704.83926 1.0351e-14 3.3558e-17 13.1370 0.0035 5 +i 7647 56705.61028 1.0381e-14 2.5162e-17 13.1339 0.0026 4 +i 7647 56705.95327 1.0396e-14 3.3394e-17 13.1323 0.0035 5 +i 7647 56706.98285 1.0394e-14 4.1289e-17 13.1325 0.0043 5 +i 7647 56708.02508 1.0421e-14 4.9110e-17 13.1297 0.0051 5 +i 7647 56709.82915 1.0268e-14 4.4325e-17 13.1458 0.0047 5 +i 7647 56710.66093 1.0238e-14 2.1402e-17 13.1490 0.0023 1 +i 7647 56711.01790 1.0269e-14 5.7723e-17 13.1457 0.0061 5 +i 7647 56711.68518 1.0219e-14 1.0382e-17 13.1510 0.0011 1 +i 7647 56711.92414 1.0224e-14 3.3551e-17 13.1504 0.0036 5 +i 7647 56713.72148 1.0099e-14 3.8844e-17 13.1638 0.0042 1 +i 7647 56713.92031 1.0189e-14 3.6202e-17 13.1542 0.0039 5 +i 7647 56714.72560 1.0110e-14 4.7881e-18 13.1626 0.0005 1 +i 7647 56715.91352 1.0075e-14 4.2615e-17 13.1664 0.0046 5 +i 7647 56716.66497 1.0073e-14 1.1921e-17 13.1666 0.0013 1 +i 7647 56717.73364 9.9781e-15 1.0252e-17 13.1769 0.0011 1 +i 7647 56717.95542 1.0032e-14 9.0012e-17 13.1710 0.0097 5 +i 7647 56718.56400 1.0009e-14 8.7718e-17 13.1735 0.0095 4 +i 7647 56718.67105 9.8788e-15 9.7630e-18 13.1877 0.0011 1 +i 7647 56719.60361 9.7784e-15 1.0423e-16 13.1988 0.0116 3 +i 7647 56720.69264 9.7176e-15 1.1920e-17 13.2056 0.0013 1 +i 7647 56721.71433 9.6021e-15 8.6336e-18 13.2186 0.0010 1 +i 7647 56722.73829 9.4266e-15 7.3112e-18 13.2386 0.0008 1 +i 7647 56723.57174 9.4980e-15 1.1062e-17 13.2304 0.0013 1 +i 7647 56724.52211 9.2922e-15 8.2206e-17 13.2542 0.0096 4 +i 7647 56727.61413 9.4276e-15 9.2891e-17 13.2385 0.0107 4 +i 7647 56728.57657 9.4829e-15 7.8424e-18 13.2321 0.0009 1 +i 7647 56729.49550 9.3688e-15 9.8926e-18 13.2453 0.0011 1 +i 7647 56730.53842 9.4341e-15 8.4999e-18 13.2377 0.0010 1 +i 7647 56730.83131 9.3824e-15 5.3844e-17 13.2437 0.0062 5 +i 7647 56731.48995 9.4652e-15 6.6200e-18 13.2342 0.0008 1 +i 7647 56732.49480 9.4518e-15 5.9886e-18 13.2357 0.0007 1 +i 7647 56733.48510 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56749.75488 1.0654e-14 5.3101e-17 13.1057 0.0054 5 +i 7647 56751.98332 1.0668e-14 6.5078e-17 13.1043 0.0066 5 +i 7647 56752.58234 1.0710e-14 1.3997e-17 13.1000 0.0014 1 +i 7647 56753.57733 1.0614e-14 1.3847e-17 13.1098 0.0014 1 +i 7647 56754.55501 1.0533e-14 1.4189e-17 13.1181 0.0015 1 +i 7647 56755.97913 1.0354e-14 9.8934e-17 13.1367 0.0104 5 +i 7647 56756.51191 1.0333e-14 8.4616e-18 13.1389 0.0009 1 +i 7647 56757.14081 1.0437e-14 1.1788e-16 13.1281 0.0123 2 +i 7647 56757.45963 1.0327e-14 3.9728e-17 13.1396 0.0042 3 +i 7647 56757.55045 1.0455e-14 7.4823e-17 13.1262 0.0078 4 +i 7647 56758.74749 1.0349e-14 5.5304e-17 13.1373 0.0058 5 +i 7647 56759.88717 1.0302e-14 3.1799e-17 13.1422 0.0034 5 +i 7647 56760.20633 1.0226e-14 7.7373e-17 13.1502 0.0082 2 +i 7647 56762.78636 1.0162e-14 3.1825e-17 13.1571 0.0034 5 +i 7647 56763.75427 1.0142e-14 3.1806e-17 13.1592 0.0034 5 +i 7647 56764.78767 1.0157e-14 3.9904e-17 13.1576 0.0043 5 +i 7647 56765.54046 1.0193e-14 2.7080e-17 13.1537 0.0029 4 +i 7647 56765.58278 1.0163e-14 1.0884e-17 13.1569 0.0012 1 +i 7647 56765.87757 1.0130e-14 3.7752e-17 13.1605 0.0040 5 +i 7647 56766.40167 1.0072e-14 3.5624e-17 13.1667 0.0038 4 +i 7647 56770.52673 1.0251e-14 1.3306e-17 13.1476 0.0014 1 +i 7647 56770.78276 1.0251e-14 4.7420e-17 13.1476 0.0050 5 +i 7647 56771.51136 1.0229e-14 1.3331e-17 13.1499 0.0014 1 +i 7647 56772.49803 1.0284e-14 7.4432e-18 13.1441 0.0008 1 +i 7647 56772.82719 1.0347e-14 6.8808e-17 13.1375 0.0072 5 +i 7647 56773.38964 1.0354e-14 5.5093e-17 13.1367 0.0058 4 +i 7647 56773.85849 1.0367e-14 6.5486e-17 13.1354 0.0069 5 +i 7647 56774.76119 1.0403e-14 1.1588e-16 13.1316 0.0121 5 +i 7647 56775.40695 1.0443e-14 5.2589e-17 13.1274 0.0055 4 +i 7647 56775.54837 1.0462e-14 8.2610e-18 13.1255 0.0009 1 +i 7647 56776.07733 1.0515e-14 1.0514e-16 13.1200 0.0109 2 +i 7647 56776.46341 1.0469e-14 7.5634e-18 13.1247 0.0008 1 +i 7647 56777.53027 1.0468e-14 1.2233e-17 13.1248 0.0013 1 +i 7647 56778.49734 1.0451e-14 1.3290e-17 13.1266 0.0014 1 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1 +i 7647 56795.44566 1.0266e-14 1.3657e-17 13.1460 0.0014 1 +i 7647 56796.44806 1.0299e-14 1.6216e-17 13.1425 0.0017 1 +i 7647 56797.45075 1.0342e-14 1.5733e-17 13.1380 0.0017 1 +i 7647 56798.44366 1.0344e-14 1.6566e-17 13.1378 0.0017 1 +i 7647 56799.44057 1.0388e-14 1.5688e-17 13.1332 0.0016 1 +i 7647 56800.44296 1.0346e-14 1.2622e-17 13.1376 0.0013 1 +i 7647 56801.42747 1.0319e-14 1.1200e-17 13.1404 0.0012 1 +i 7647 56802.43701 1.0336e-14 9.7995e-18 13.1386 0.0010 1 +i 7647 56803.44075 1.0358e-14 1.4131e-17 13.1363 0.0015 1 +i 7647 56805.46065 1.0323e-14 1.6691e-17 13.1400 0.0018 1 +i 7647 56806.43379 1.0272e-14 1.0286e-17 13.1454 0.0011 1 +i 7647 56807.43561 1.0338e-14 1.2573e-17 13.1384 0.0013 1 +i 7647 56808.41510 1.0356e-14 1.4605e-17 13.1365 0.0015 1 +i 7647 56809.43000 1.0365e-14 1.3149e-17 13.1356 0.0014 1 +i 7647 56810.43131 1.0381e-14 1.4683e-17 13.1339 0.0015 1 +i 7647 56811.42008 1.0372e-14 1.4970e-17 13.1348 0.0016 1 +i 7647 56812.43007 1.0398e-14 1.3380e-17 13.1321 0.0014 1 +i 7647 56813.40298 1.0392e-14 1.7247e-17 13.1328 0.0018 1 +i 7647 56815.40381 1.0443e-14 1.6613e-17 13.1274 0.0017 1 +i 7647 56816.27751 1.0523e-14 2.7328e-17 13.1192 0.0028 4 +i 7647 56816.41077 1.0476e-14 1.4594e-17 13.1240 0.0015 1 +i 7647 56816.64306 1.0492e-14 5.6383e-17 13.1224 0.0058 5 +i 7647 56817.41079 1.0489e-14 1.3550e-17 13.1227 0.0014 1 +i 7647 56817.83763 1.0501e-14 4.6100e-17 13.1214 0.0048 5 +i 7647 56818.41563 1.0635e-14 1.2342e-17 13.1077 0.0013 1 +i 7647 56819.27574 1.0607e-14 2.5741e-17 13.1105 0.0026 4 +i 7647 56819.41571 1.0671e-14 1.3257e-17 13.1040 0.0013 1 +i 7647 56820.48486 1.0676e-14 1.0707e-17 13.1035 0.0011 1 +i 7647 56821.24589 1.0730e-14 3.1384e-17 13.0980 0.0032 4 +i 7647 56822.39635 1.0768e-14 1.1759e-17 13.0942 0.0012 1 +i 7647 56823.40732 1.0863e-14 1.6316e-17 13.0846 0.0016 1 +i 7647 56824.40115 1.0826e-14 1.7377e-17 13.0883 0.0017 1 +i 7647 56825.30887 1.0887e-14 5.3436e-17 13.0822 0.0053 4 +i 7647 56825.41508 1.0888e-14 1.8402e-17 13.0821 0.0018 1 +i 7647 56826.39287 1.0736e-14 1.8112e-17 13.0974 0.0018 1 +i 7647 56827.39764 1.0696e-14 1.6159e-17 13.1014 0.0016 1 +i 7647 56828.39997 1.0676e-14 1.6659e-17 13.1035 0.0017 1 +i 7647 56829.40979 1.0648e-14 1.5916e-17 13.1063 0.0016 1 +i 7647 56830.40255 1.0616e-14 1.8272e-17 13.1096 0.0019 1 +i 7647 56831.39396 1.0419e-14 1.6339e-17 13.1299 0.0017 1 +i 7647 56832.43681 1.0473e-14 1.5363e-17 13.1243 0.0016 1 +i 7647 56833.39816 1.0512e-14 1.6127e-17 13.1203 0.0017 1 +i 7647 56834.39275 1.0565e-14 1.4259e-17 13.1148 0.0015 1 +i 7647 56835.39420 1.0492e-14 1.5334e-17 13.1224 0.0016 1 +i 7647 56839.33995 1.0496e-14 3.9668e-17 13.1219 0.0041 3 +i 7647 56841.41209 1.0514e-14 1.4987e-17 13.1201 0.0015 1 +i 7647 56842.24887 1.0486e-14 4.3920e-17 13.1230 0.0045 4 +i 7647 56843.21908 1.0442e-14 4.1289e-17 13.1275 0.0043 4 +i 7647 56843.39193 1.0488e-14 1.5184e-17 13.1228 0.0016 1 +i 7647 56845.41125 1.0415e-14 1.6418e-17 13.1304 0.0017 1 +i 7647 56847.40192 1.0284e-14 1.2048e-17 13.1441 0.0013 1 +i 7647 56848.39146 1.0219e-14 8.3962e-18 13.1510 0.0009 1 +i 7647 56848.85800 1.0252e-14 6.5753e-17 13.1475 0.0070 2 +i 7647 56850.25912 1.0311e-14 2.9486e-17 13.1412 0.0031 3 +i 7647 56858.38847 1.0166e-14 1.6626e-17 13.1566 0.0018 1 +i 7647 56860.38740 1.0135e-14 1.9027e-17 13.1599 0.0020 1 +i 7647 56861.38644 1.0197e-14 1.3262e-17 13.1533 0.0014 1 +i 7647 56862.38698 1.0128e-14 1.7233e-17 13.1607 0.0018 1 +i 7647 56863.38540 1.0119e-14 1.5518e-17 13.1617 0.0017 1 +i 7647 56864.38541 1.0245e-14 1.8702e-17 13.1482 0.0020 1 +i 7647 56864.69500 1.0165e-14 8.6684e-17 13.1567 0.0093 5 +i 7647 56865.38436 1.0165e-14 1.6406e-17 13.1567 0.0018 1 +i 7647 56865.63489 1.0161e-14 8.8544e-17 13.1572 0.0095 5 +I 8560 56691.57709 8.8307e-15 1.0109e-16 13.0646 0.0124 2 +I 8560 56691.60323 8.7317e-15 2.6959e-17 13.0768 0.0034 1 +I 8560 56692.59282 8.8029e-15 1.2202e-16 13.0680 0.0150 2 +I 8560 56693.60115 8.6513e-15 1.2546e-16 13.0869 0.0157 2 +I 8560 56697.56501 8.9278e-15 2.7706e-17 13.0527 0.0034 1 +I 8560 56698.54819 8.9709e-15 2.5896e-17 13.0475 0.0031 1 +I 8560 56699.47976 8.8364e-15 2.0513e-17 13.0639 0.0025 1 +I 8560 56700.50659 8.8091e-15 2.0570e-17 13.0672 0.0025 1 +I 8560 56701.56881 8.8869e-15 2.4809e-17 13.0577 0.0030 1 +I 8560 56702.54189 8.9436e-15 1.7635e-17 13.0508 0.0021 1 +I 8560 56708.57310 9.0570e-15 4.4293e-17 13.0371 0.0053 1 +I 8560 56709.55489 9.0211e-15 2.1009e-17 13.0414 0.0025 1 +I 8560 56710.48332 8.9276e-15 1.9450e-17 13.0527 0.0024 1 +I 8560 56711.60397 8.7975e-15 1.1322e-16 13.0687 0.0140 2 +I 8560 56714.47459 8.8213e-15 1.8590e-17 13.0657 0.0023 1 +I 8560 56716.48488 8.7184e-15 2.4774e-17 13.0785 0.0031 1 +I 8560 56721.48007 8.3886e-15 2.1876e-17 13.1203 0.0028 1 +I 8560 56723.45793 8.1715e-15 1.9344e-17 13.1488 0.0026 1 +I 8560 56724.62954 8.1366e-15 1.2583e-16 13.1535 0.0168 2 +I 8560 56726.63023 8.2353e-15 2.1025e-16 13.1404 0.0277 2 +I 8560 56727.46070 8.1925e-15 2.1967e-17 13.1460 0.0029 1 +I 8560 56727.60898 8.2072e-15 1.7771e-16 13.1441 0.0235 2 +I 8560 56728.62722 8.2030e-15 1.6299e-16 13.1446 0.0216 2 +I 8560 56729.61621 8.2270e-15 1.4817e-16 13.1415 0.0196 2 +I 8560 56730.57130 8.1727e-15 1.3813e-16 13.1487 0.0184 2 +I 8560 56732.50843 8.1692e-15 1.5562e-17 13.1491 0.0021 1 +I 8560 56737.52364 8.5637e-15 1.4633e-17 13.0979 0.0019 1 +I 8560 56738.45493 8.6607e-15 1.4293e-17 13.0857 0.0018 1 +I 8560 56738.58392 8.4869e-15 1.4230e-16 13.1077 0.0182 2 +I 8560 56739.31690 8.5640e-15 1.9260e-17 13.0979 0.0024 1 +I 8560 56739.59695 8.4919e-15 1.1904e-16 13.1071 0.0152 2 +I 8560 56740.57789 8.7901e-15 9.1033e-17 13.0696 0.0112 2 +I 8560 56741.52756 8.9782e-15 1.0800e-16 13.0466 0.0131 2 +I 8560 56742.45516 8.9150e-15 1.9131e-17 13.0543 0.0023 1 +I 8560 56744.44870 9.0916e-15 1.8332e-17 13.0330 0.0022 1 +I 8560 56746.43172 9.2889e-15 1.1265e-16 13.0097 0.0132 2 +I 8560 56747.45091 9.2676e-15 8.5321e-17 13.0122 0.0100 2 +I 8560 56748.47765 9.2453e-15 1.5179e-17 13.0148 0.0018 1 +I 8560 56748.54210 9.1905e-15 8.8823e-17 13.0212 0.0105 2 +I 8560 56750.35261 9.3011e-15 2.0754e-17 13.0082 0.0024 1 +I 8560 56752.42031 9.3049e-15 2.6117e-17 13.0078 0.0030 1 +I 8560 56753.36861 9.2474e-15 2.4158e-17 13.0145 0.0028 1 +I 8560 56754.37718 9.1760e-15 1.5700e-17 13.0229 0.0019 1 +I 8560 56755.43128 9.0675e-15 3.6559e-17 13.0359 0.0044 1 +I 8560 56757.34955 9.1152e-15 2.2711e-17 13.0302 0.0027 1 +I 8560 56758.44495 8.9878e-15 2.1865e-17 13.0454 0.0026 1 +I 8560 56762.45281 8.6906e-15 1.3725e-16 13.0819 0.0171 2 +I 8560 56763.43267 8.7850e-15 1.6176e-16 13.0702 0.0200 2 +I 8560 56765.31162 8.8668e-15 1.4039e-17 13.0602 0.0017 1 +I 8560 56765.51415 8.7722e-15 8.9637e-17 13.0718 0.0111 2 +I 8560 56766.29921 8.8558e-15 2.0045e-17 13.0615 0.0025 1 +I 8560 56774.53174 9.1516e-15 1.1342e-16 13.0258 0.0135 2 +I 8560 56784.46906 9.1553e-15 1.0877e-16 13.0254 0.0129 2 +I 8560 56793.50084 8.9980e-15 1.4907e-16 13.0442 0.0180 2 +I 8560 56799.36255 9.0840e-15 9.5921e-17 13.0339 0.0115 2 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1 +I 8560 56823.39872 9.2605e-15 1.4112e-16 13.0130 0.0165 2 +I 8560 56824.37306 9.2278e-15 7.9565e-17 13.0168 0.0094 2 +I 8560 56824.38000 9.3354e-15 9.5640e-18 13.0042 0.0011 1 +I 8560 56825.35932 9.3370e-15 1.0273e-17 13.0041 0.0012 1 +I 8560 56827.38256 9.2479e-15 1.7244e-17 13.0145 0.0020 1 +I 8560 56829.31543 9.2087e-15 2.2199e-17 13.0191 0.0026 1 +I 8560 56831.29218 9.0190e-15 2.9260e-17 13.0417 0.0035 1 +I 8560 56832.28555 9.0169e-15 2.5419e-17 13.0419 0.0031 1 +I 8560 56834.33571 9.0397e-15 3.1968e-17 13.0392 0.0038 1 +I 8560 56834.40176 9.2469e-15 9.6736e-17 13.0146 0.0114 2 +I 8560 56835.41899 9.1293e-15 1.3811e-16 13.0285 0.0164 2 +I 8560 56836.32377 9.0264e-15 1.7885e-17 13.0408 0.0022 1 +I 8560 56837.32461 9.0328e-15 1.7610e-17 13.0400 0.0021 1 +I 8560 56837.41188 9.1002e-15 1.4680e-16 13.0319 0.0175 2 +I 8560 56839.32787 9.0474e-15 1.8228e-17 13.0383 0.0022 1 +I 8560 56844.37396 9.0582e-15 1.7204e-17 13.0370 0.0021 1 +I 8560 56845.28505 8.9892e-15 1.0768e-17 13.0453 0.0013 1 +I 8560 56846.34474 8.9720e-15 7.5842e-18 13.0474 0.0009 1 +I 8560 56848.28752 8.7447e-15 5.4227e-17 13.0752 0.0067 1 +I 8560 56850.30477 8.8867e-15 1.5854e-17 13.0577 0.0019 1 +I 8560 56852.28952 8.8324e-15 1.0476e-17 13.0644 0.0013 1 +I 8560 56853.31874 8.7353e-15 3.0300e-17 13.0764 0.0038 1 +I 8560 56854.31157 8.6959e-15 2.4919e-17 13.0813 0.0031 1 +I 8560 56857.26244 8.7292e-15 1.6967e-17 13.0771 0.0021 1 +I 8560 56858.29799 8.7835e-15 1.4820e-17 13.0704 0.0018 1 +I 8560 56859.33924 8.8252e-15 1.4181e-17 13.0653 0.0017 1 +z 9157 56692.95051 9.2215e-15 4.3717e-17 12.8713 0.0051 5 +z 9157 56693.62004 9.2243e-15 8.8403e-17 12.8710 0.0104 4 +z 9157 56693.78797 9.1997e-15 7.1790e-18 12.8739 0.0008 1 +z 9157 56694.76852 9.2227e-15 1.5231e-17 12.8711 0.0018 1 +z 9157 56695.70791 9.2849e-15 1.1644e-17 12.8638 0.0014 1 +z 9157 56696.25411 9.3547e-15 8.2542e-17 12.8557 0.0096 2 +z 9157 56696.72636 9.2685e-15 2.2410e-17 12.8658 0.0026 1 +z 9157 56696.98562 9.3519e-15 6.6030e-17 12.8560 0.0077 5 +z 9157 56697.75520 9.2937e-15 7.9993e-18 12.8628 0.0009 1 +z 9157 56698.61127 9.3296e-15 1.8661e-16 12.8586 0.0217 3 +z 9157 56698.71582 9.2810e-15 1.1176e-17 12.8643 0.0013 1 +z 9157 56699.27618 9.3444e-15 8.4341e-17 12.8569 0.0098 2 +z 9157 56699.71145 9.3387e-15 3.2265e-17 12.8576 0.0038 1 +z 9157 56700.60128 9.4830e-15 5.8924e-17 12.8409 0.0067 4 +z 9157 56700.69001 9.3917e-15 7.4591e-18 12.8514 0.0009 1 +z 9157 56701.56430 9.3415e-15 2.1153e-17 12.8572 0.0025 1 +z 9157 56701.60555 9.3711e-15 1.2326e-16 12.8538 0.0143 4 +z 9157 56701.83475 9.3332e-15 5.2709e-17 12.8582 0.0061 5 +z 9157 56702.63675 9.3589e-15 8.0304e-18 12.8552 0.0009 1 +z 9157 56703.01786 9.3627e-15 7.8421e-17 12.8548 0.0091 5 +z 9157 56703.88342 9.4014e-15 4.2069e-17 12.8503 0.0049 5 +z 9157 56704.84045 9.4314e-15 5.2537e-17 12.8468 0.0060 5 +z 9157 56705.61145 9.4912e-15 5.9547e-17 12.8400 0.0068 4 +z 9157 56705.95446 9.4135e-15 5.4783e-17 12.8489 0.0063 5 +z 9157 56706.98401 9.5181e-15 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56865.93861 3.7600e-14 7.8000e-16 14.9440 0.0225 -1 \ No newline at end of file diff --git a/data/STORM_III/raw/separated/1928Å.tab b/data/STORM_III/raw/separated/1928Å.tab new file mode 100644 index 0000000..14f12b1 --- /dev/null +++ b/data/STORM_III/raw/separated/1928Å.tab @@ -0,0 +1,284 @@ +UVW2 1928 56690.43005 2.7100e-14 6.0200e-16 15.0842 0.0241 -1 +UVW2 1928 56698.36533 3.2800e-14 6.9800e-16 14.8769 0.0231 -1 +UVW2 1928 56699.56636 3.1900e-14 7.1500e-16 14.9071 0.0243 -1 +UVW2 1928 56706.49053 3.2700e-14 7.1000e-16 14.8802 0.0236 -1 +UVW2 1928 56708.23256 3.1100e-14 6.7800e-16 14.9347 0.0237 -1 +UVW2 1928 56709.56658 3.0800e-14 7.6800e-16 14.9452 0.0271 -1 +UVW2 1928 56710.10859 2.9700e-14 6.9200e-16 14.9847 0.0253 -1 +UVW2 1928 56710.17059 2.9700e-14 6.9900e-16 14.9847 0.0256 -1 +UVW2 1928 56710.63959 2.7900e-14 6.4800e-16 15.0526 0.0252 -1 +UVW2 1928 56711.02660 2.9000e-14 6.8800e-16 15.0106 0.0258 -1 +UVW2 1928 56711.36060 2.7400e-14 6.7400e-16 15.0722 0.0267 -1 +UVW2 1928 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56785.92903 1.3911e-14 9.3857e-17 13.5702 0.0073 4 +V 5404 56786.76923 1.3852e-14 3.5248e-17 13.5748 0.0028 7 +V 5404 56786.94235 1.3560e-14 6.9573e-17 13.5979 0.0056 4 +V 5404 56787.26931 1.3832e-14 5.7162e-17 13.5763 0.0045 5 +V 5404 56787.82769 1.3766e-14 3.2015e-17 13.5815 0.0025 7 +V 5404 56787.91521 1.3724e-14 1.3669e-16 13.5848 0.0108 4 +V 5404 56788.25572 1.3829e-14 6.1468e-17 13.5766 0.0048 5 +V 5404 56788.66999 1.3824e-14 5.4235e-17 13.5770 0.0043 2 +V 5404 56788.83197 1.3783e-14 3.0632e-17 13.5802 0.0024 7 +V 5404 56789.21464 1.3636e-14 6.5610e-17 13.5918 0.0052 5 +V 5404 56789.43900 1.3774e-14 8.8890e-17 13.5809 0.0070 11 +V 5404 56789.69919 1.3707e-14 4.9077e-17 13.5862 0.0039 8 +V 5404 56789.83302 1.3750e-14 2.6838e-16 13.5828 0.0212 3 +V 5404 56789.93702 1.3681e-14 4.8667e-17 13.5883 0.0039 4 +V 5404 56790.28242 1.3509e-14 4.4785e-17 13.6020 0.0036 5 +V 5404 56790.35273 1.3611e-14 7.0892e-17 13.5938 0.0057 14 +V 5404 56791.77294 1.3676e-14 8.2408e-17 13.5886 0.0065 6 +V 5404 56791.92149 1.3482e-14 4.9296e-17 13.6042 0.0040 4 +V 5404 56792.67079 1.3531e-14 5.0591e-17 13.6002 0.0041 2 +V 5404 56792.92481 1.3594e-14 6.2627e-17 13.5952 0.0050 4 +V 5404 56793.56782 1.3627e-14 1.5681e-16 13.5925 0.0125 13 +V 5404 56793.65918 1.3738e-14 5.3303e-17 13.5837 0.0042 2 +V 5404 56793.76694 1.3749e-14 4.6879e-17 13.5829 0.0037 8 +V 5404 56793.85033 1.3775e-14 2.6903e-17 13.5808 0.0021 7 +V 5404 56793.88441 1.3728e-14 1.8634e-16 13.5845 0.0147 3 +V 5404 56794.66711 1.3723e-14 5.3666e-17 13.5849 0.0042 2 +V 5404 56794.87513 1.3841e-14 2.7585e-16 13.5756 0.0216 3 +V 5404 56795.31253 1.3745e-14 7.8112e-17 13.5832 0.0062 14 +V 5404 56795.33440 1.3616e-14 2.7357e-17 13.5934 0.0022 1 +V 5404 56795.63368 1.3674e-14 6.1207e-17 13.5888 0.0049 2 +V 5404 56795.78421 1.3711e-14 3.4213e-17 13.5859 0.0027 7 +V 5404 56795.88222 1.3394e-14 2.8858e-16 13.6113 0.0234 3 +V 5404 56795.91773 1.3600e-14 4.2821e-17 13.5947 0.0034 4 +V 5404 56796.30580 1.3610e-14 6.4659e-17 13.5939 0.0052 1 +V 5404 56796.66910 1.3681e-14 6.1379e-17 13.5883 0.0049 2 +V 5404 56796.90208 1.3624e-14 4.8217e-17 13.5928 0.0038 4 +V 5404 56797.54744 1.3694e-14 1.6301e-16 13.5872 0.0129 13 +V 5404 56797.72321 1.3790e-14 5.4420e-17 13.5796 0.0043 8 +V 5404 56797.78014 1.3628e-14 8.6234e-17 13.5925 0.0069 6 +V 5404 56797.80541 1.3770e-14 5.3755e-17 13.5812 0.0042 7 +V 5404 56798.63960 1.3794e-14 6.3227e-17 13.5793 0.0050 2 +V 5404 56798.64410 1.3794e-14 5.6267e-17 13.5793 0.0044 8 +V 5404 56798.77223 1.3784e-14 9.1392e-17 13.5801 0.0072 6 +V 5404 56798.79282 1.3790e-14 5.2155e-17 13.5796 0.0041 7 +V 5404 56798.79355 1.3581e-14 7.3275e-17 13.5962 0.0059 10 +V 5404 56799.65095 1.3753e-14 6.5277e-17 13.5826 0.0052 2 +V 5404 56799.67215 1.3681e-14 5.0932e-17 13.5883 0.0040 8 +V 5404 56799.68507 1.3752e-14 9.1570e-17 13.5826 0.0072 6 +V 5404 56799.77192 1.3756e-14 5.0314e-17 13.5823 0.0040 7 +V 5404 56799.78915 1.3703e-14 5.3244e-17 13.5865 0.0042 10 +V 5404 56799.84835 1.3758e-14 2.2116e-16 13.5822 0.0175 3 +V 5404 56800.24098 1.3715e-14 7.3715e-17 13.5856 0.0058 5 +V 5404 56800.37819 1.3665e-14 3.3111e-17 13.5895 0.0026 1 +V 5404 56800.65409 1.3722e-14 5.1900e-17 13.5850 0.0041 8 +V 5404 56800.74525 1.3744e-14 8.8254e-17 13.5833 0.0070 6 +V 5404 56800.86929 1.3604e-14 2.5704e-16 13.5944 0.0205 3 +V 5404 56800.87271 1.3590e-14 5.7796e-17 13.5955 0.0046 10 +V 5404 56800.93940 1.3792e-14 1.2511e-16 13.5795 0.0098 15 +V 5404 56801.26451 1.3591e-14 8.9859e-17 13.5954 0.0072 5 +V 5404 56801.42282 1.3724e-14 3.4800e-17 13.5848 0.0028 1 +V 5404 56801.70601 1.3708e-14 6.7018e-17 13.5861 0.0053 2 +V 5404 56801.71370 1.3674e-14 5.2076e-17 13.5888 0.0041 8 +V 5404 56801.84161 1.3795e-14 4.9688e-17 13.5792 0.0039 7 +V 5404 56801.95353 1.3801e-14 1.5074e-16 13.5788 0.0119 15 +V 5404 56802.30494 1.3554e-14 9.3418e-17 13.5984 0.0075 5 +V 5404 56802.35474 1.3722e-14 4.5033e-17 13.5850 0.0036 1 +V 5404 56802.84988 1.3428e-14 2.1998e-16 13.6085 0.0178 3 +V 5404 56802.88462 1.3812e-14 1.0211e-16 13.5779 0.0080 4 +V 5404 56803.32685 1.3758e-14 7.3988e-17 13.5822 0.0058 5 +V 5404 56803.36872 1.3674e-14 4.6999e-17 13.5888 0.0037 1 +V 5404 56803.74058 1.3764e-14 5.0049e-17 13.5817 0.0039 7 +V 5404 56803.84495 1.3644e-14 2.9975e-16 13.5912 0.0239 3 +V 5404 56803.89132 1.3792e-14 1.2749e-16 13.5795 0.0100 4 +V 5404 56804.25645 1.3611e-14 6.9258e-17 13.5938 0.0055 5 +V 5404 56804.39505 1.3700e-14 2.9551e-17 13.5867 0.0023 1 +V 5404 56804.77104 1.3782e-14 7.2889e-17 13.5803 0.0057 7 +V 5404 56804.83829 1.3662e-14 1.9254e-16 13.5898 0.0153 3 +V 5404 56805.20274 1.3772e-14 9.4701e-17 13.5811 0.0075 5 +V 5404 56805.53784 1.3634e-14 1.5812e-16 13.5920 0.0126 13 +V 5404 56805.79256 1.3739e-14 4.4032e-17 13.5837 0.0035 7 +V 5404 56805.86049 1.3639e-14 2.9407e-16 13.5916 0.0234 3 +V 5404 56806.68272 1.3728e-14 6.8290e-17 13.5845 0.0054 2 +V 5404 56806.84127 1.3720e-14 3.0215e-16 13.5852 0.0239 3 +V 5404 56806.87802 1.3747e-14 9.9960e-17 13.5830 0.0079 4 +V 5404 56807.69170 1.3779e-14 6.8201e-17 13.5805 0.0054 2 +V 5404 56807.86497 1.3631e-14 1.7940e-16 13.5922 0.0143 3 +V 5404 56808.83005 1.3696e-14 2.3198e-16 13.5871 0.0184 3 +V 5404 56809.65950 1.3907e-14 5.9947e-17 13.5705 0.0047 2 +V 5404 56809.83977 1.3467e-14 2.8820e-16 13.6054 0.0232 3 +V 5404 56810.33061 1.3789e-14 7.0161e-17 13.5797 0.0055 1 +V 5404 56810.54012 1.3849e-14 1.7907e-16 13.5750 0.0140 13 +V 5404 56810.64144 1.3913e-14 5.9442e-17 13.5700 0.0046 2 +V 5404 56810.79568 1.3816e-14 2.0840e-16 13.5776 0.0164 3 +V 5404 56811.33046 1.3809e-14 4.2115e-17 13.5781 0.0033 1 +V 5404 56811.70043 1.3891e-14 6.4350e-17 13.5717 0.0050 2 +V 5404 56812.65419 1.3849e-14 6.2972e-17 13.5750 0.0049 8 +V 5404 56812.70955 1.3840e-14 6.3394e-17 13.5757 0.0050 2 +V 5404 56812.88843 1.3829e-14 8.5367e-17 13.5766 0.0067 6 +V 5404 56813.71037 1.3910e-14 5.9256e-17 13.5702 0.0046 8 +V 5404 56813.73092 1.3868e-14 6.8236e-17 13.5735 0.0053 2 +V 5404 56813.76487 1.3860e-14 8.3673e-17 13.5741 0.0066 6 +V 5404 56814.66602 1.3928e-14 6.3221e-17 13.5688 0.0049 2 +V 5404 56814.71878 1.3947e-14 8.5586e-17 13.5673 0.0067 6 +V 5404 56814.76654 1.3818e-14 8.7613e-17 13.5774 0.0069 4 +V 5404 56815.40007 1.4064e-14 3.9732e-17 13.5583 0.0031 1 +V 5404 56815.64647 1.4091e-14 6.0221e-17 13.5562 0.0046 2 +V 5404 56815.81091 1.4064e-14 8.7731e-17 13.5583 0.0068 4 +V 5404 56816.67696 1.4255e-14 8.7506e-17 13.5436 0.0067 4 +V 5404 56816.73004 1.4043e-14 5.4766e-17 13.5599 0.0042 2 +V 5404 56817.32662 1.4303e-14 8.6781e-17 13.5400 0.0066 5 +V 5404 56817.38541 1.4280e-14 3.1016e-17 13.5417 0.0024 1 +V 5404 56818.29284 1.4372e-14 8.3655e-17 13.5348 0.0063 5 +V 5404 56818.30927 1.4593e-14 2.7926e-17 13.5182 0.0021 1 +V 5404 56818.62851 1.4522e-14 7.1968e-17 13.5235 0.0054 4 +V 5404 56818.80952 1.4665e-14 9.8153e-17 13.5128 0.0073 6 +V 5404 56819.26963 1.4654e-14 1.3555e-16 13.5137 0.0100 14 +V 5404 56819.29232 1.4906e-14 1.0717e-16 13.4951 0.0078 5 +V 5404 56819.71156 1.4803e-14 1.0064e-16 13.5027 0.0074 2 +V 5404 56819.81719 1.4911e-14 7.1611e-17 13.4948 0.0052 4 +V 5404 56820.74132 1.4901e-14 9.0174e-17 13.4955 0.0066 6 +V 5404 56820.77850 1.5003e-14 3.0815e-16 13.4881 0.0223 3 +V 5404 56820.80255 1.4904e-14 8.7232e-17 13.4953 0.0064 4 +V 5404 56821.32277 1.4987e-14 1.1388e-16 13.4893 0.0083 14 +V 5404 56821.35255 1.4895e-14 2.5167e-17 13.4959 0.0018 1 +V 5404 56821.74935 1.4662e-14 2.6224e-16 13.5131 0.0194 3 +V 5404 56822.30869 1.4688e-14 4.6507e-17 13.5111 0.0034 1 +V 5404 56822.67602 1.4814e-14 1.0671e-16 13.5019 0.0078 2 +V 5404 56823.34616 1.4730e-14 3.7618e-17 13.5080 0.0028 1 +V 5404 56823.74657 1.4734e-14 2.9445e-16 13.5077 0.0217 3 +V 5404 56824.39947 1.4702e-14 3.0449e-17 13.5101 0.0022 1 +V 5404 56824.73701 1.4709e-14 2.7305e-16 13.5096 0.0202 3 +V 5404 56825.37379 1.4637e-14 3.3362e-17 13.5149 0.0025 1 +V 5404 56825.75026 1.4480e-14 9.3566e-17 13.5266 0.0070 8 +V 5404 56826.64786 1.4180e-14 9.0934e-17 13.5494 0.0070 8 +V 5404 56826.65920 1.4233e-14 2.0881e-16 13.5453 0.0159 13 +V 5404 56826.68166 1.4147e-14 6.7612e-17 13.5519 0.0052 2 +V 5404 56827.39605 1.4199e-14 4.3768e-17 13.5479 0.0033 1 +V 5404 56827.61224 1.4090e-14 1.9646e-16 13.5563 0.0151 13 +V 5404 56827.66844 1.4270e-14 1.1259e-16 13.5425 0.0086 8 +V 5404 56827.77405 1.4092e-14 8.8231e-17 13.5561 0.0068 6 +V 5404 56828.29554 1.4150e-14 1.2100e-16 13.5517 0.0093 5 +V 5404 56828.78045 1.4112e-14 8.4499e-17 13.5546 0.0065 6 +V 5404 56829.27609 1.3952e-14 1.9085e-16 13.5670 0.0149 5 +V 5404 56829.30462 1.4059e-14 6.1908e-17 13.5587 0.0048 1 +V 5404 56829.74715 1.3971e-14 1.3644e-16 13.5655 0.0106 9 +V 5404 56829.74886 1.3745e-14 5.0278e-17 13.5832 0.0040 8 +V 5404 56830.24214 1.3956e-14 1.3842e-16 13.5666 0.0108 14 +V 5404 56830.30394 1.4003e-14 1.0476e-16 13.5630 0.0081 5 +V 5404 56830.76769 1.3954e-14 5.2657e-17 13.5668 0.0041 10 +V 5404 56831.27387 1.4004e-14 1.2263e-16 13.5629 0.0095 5 +V 5404 56831.28128 1.3797e-14 7.0548e-17 13.5791 0.0056 1 +V 5404 56831.62063 1.3797e-14 1.7446e-16 13.5791 0.0137 13 +V 5404 56832.26813 1.3775e-14 1.0956e-16 13.5808 0.0086 5 +V 5404 56832.27471 1.3788e-14 7.2348e-17 13.5798 0.0057 1 +V 5404 56832.48332 1.3874e-14 1.8162e-16 13.5730 0.0142 13 +V 5404 56832.81541 1.3973e-14 8.3418e-17 13.5653 0.0065 6 +V 5404 56833.48159 1.3831e-14 1.7626e-16 13.5764 0.0138 13 +V 5404 56833.73859 1.3906e-14 2.1709e-16 13.5705 0.0169 3 +V 5404 56833.82215 1.3821e-14 8.4434e-17 13.5772 0.0066 6 +V 5404 56834.32497 1.3824e-14 7.4214e-17 13.5770 0.0058 1 +V 5404 56834.66259 1.3851e-14 5.6076e-17 13.5748 0.0044 8 +V 5404 56835.38083 1.3768e-14 3.5494e-17 13.5814 0.0028 1 +V 5404 56835.71455 1.3733e-14 2.7463e-16 13.5841 0.0217 3 +V 5404 56836.31307 1.3756e-14 4.8970e-17 13.5823 0.0039 1 +V 5404 56836.62368 1.3788e-14 1.7179e-16 13.5798 0.0135 13 +V 5404 56836.70019 1.3605e-14 5.5677e-17 13.5943 0.0044 2 +V 5404 56836.72459 1.3916e-14 2.1277e-16 13.5698 0.0166 3 +V 5404 56836.81204 1.3778e-14 1.2697e-16 13.5806 0.0100 9 +V 5404 56837.31374 1.3739e-14 4.8240e-17 13.5837 0.0038 1 +V 5404 56837.62027 1.3859e-14 1.7927e-16 13.5742 0.0140 13 +V 5404 56837.65243 1.3744e-14 5.6353e-17 13.5833 0.0045 2 +V 5404 56837.71889 1.3680e-14 1.8514e-16 13.5883 0.0147 9 +V 5404 56837.76990 1.3859e-14 9.6745e-17 13.5742 0.0076 6 +V 5404 56838.29949 1.3979e-14 1.2039e-16 13.5649 0.0094 5 +V 5404 56838.62409 1.3857e-14 5.8049e-17 13.5744 0.0045 2 +V 5404 56838.75443 1.3610e-14 2.1287e-16 13.5939 0.0170 3 +V 5404 56838.77249 1.3808e-14 8.7214e-17 13.5782 0.0069 6 +V 5404 56839.34175 1.3789e-14 3.3839e-17 13.5797 0.0027 1 +V 5404 56839.47767 1.3825e-14 1.7540e-16 13.5769 0.0138 13 +V 5404 56839.61735 1.3799e-14 5.4273e-17 13.5789 0.0043 2 +V 5404 56839.69027 1.3870e-14 5.1112e-17 13.5734 0.0040 10 +V 5404 56839.72196 1.3744e-14 4.2714e-16 13.5833 0.0337 3 +V 5404 56839.75460 1.3801e-14 9.3899e-17 13.5788 0.0074 6 +V 5404 56840.25543 1.3708e-14 1.0112e-16 13.5861 0.0080 5 +V 5404 56840.60956 1.4005e-14 2.5010e-16 13.5628 0.0194 12 +V 5404 56840.65820 1.3846e-14 6.0476e-17 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b/data/calibration/combine_curves.sh new file mode 100644 index 0000000..d7230c0 --- /dev/null +++ b/data/calibration/combine_curves.sh @@ -0,0 +1,14 @@ + +for line in $(readline) +do + echo \ + + + + +fd=3 +while IFS='' read -u $fd -r line || [[ -n "$line" ]]; do + echo "Text read from file: $line" +done $fd< "$1" + + diff --git a/data/calibration/lc_drive_1.dat b/data/calibration/lc_drive_1.dat new file mode 100644 index 0000000..86e0b29 --- /dev/null +++ b/data/calibration/lc_drive_1.dat @@ -0,0 +1,201 @@ +# 1 2 + 0.00000 11.8346 0.0916311 11.8520 0.0920392 + 1.00000 11.5171 0.0936466 11.6313 0.0921003 + 2.00000 11.6853 0.0926701 11.6957 0.0921849 + 3.00000 11.3192 0.0939709 11.9643 0.0922556 + 4.00000 10.9107 0.0955774 11.7650 0.0923200 + 5.00000 10.9479 0.0963704 11.6677 0.0924218 + 6.00000 10.3560 0.0974515 11.6919 0.0925855 + 7.00000 10.0256 0.100010 11.4352 0.0928581 + 8.00000 9.32688 0.103079 11.2992 0.0932782 + 9.00000 9.05533 0.105088 11.5295 0.0938539 + 10.0000 9.92991 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0.0880553 13.4848 0.0865908 + 176.000 12.7878 0.0882697 13.2427 0.0867433 + 177.000 12.4221 0.0888481 13.4245 0.0869263 + 178.000 12.4004 0.0897559 13.1066 0.0871799 + 179.000 11.9363 0.0921017 12.8802 0.0875366 + 180.000 11.6354 0.0929836 12.9258 0.0880713 + 181.000 11.9204 0.0915473 12.8621 0.0886917 + 182.000 12.0654 0.0916632 12.3253 0.0892224 + 183.000 11.0418 0.0954513 12.4277 0.0896876 + 184.000 11.1620 0.0948989 12.3010 0.0903323 + 185.000 10.8438 0.0963477 12.0204 0.0910145 + 186.000 10.4444 0.0978891 11.9316 0.0917006 + 187.000 10.2987 0.0993244 11.7388 0.0924303 + 188.000 10.2610 0.0978249 11.4519 0.0932371 + 189.000 11.0505 0.0945137 11.5353 0.0939014 + 190.000 11.6235 0.0930578 11.2657 0.0942116 + 191.000 11.4565 0.0934014 11.3133 0.0942556 + 192.000 11.2891 0.0947141 11.1743 0.0942119 + 193.000 11.5836 0.0929899 11.1667 0.0942004 + 194.000 11.2664 0.0935554 11.3246 0.0941764 + 195.000 12.2846 0.0909019 11.2522 0.0941263 + 196.000 11.9529 0.0915996 11.3115 0.0939087 + 197.000 12.0606 0.0915574 11.2917 0.0936196 + 198.000 11.4087 0.0937190 11.5174 0.0933944 + 199.000 11.3703 0.0936658 11.4705 0.0933883 diff --git a/inputfiles/HST1367_i_7647 b/inputfiles/HST1367_i_7647 new file mode 100644 index 0000000..d72f2da --- /dev/null +++ b/inputfiles/HST1367_i_7647 @@ -0,0 +1,10 @@ +2 +data/STORM_III/lightcurves/Δt≔0.01/HST1367.lc 0 +data/STORM_III/lightcurves/Δt≔0.01/i_7647.lc 0 +8 0.005 0.019 0.0425 0.07 0.11 0.17 0.24 0.4 0.603 +0 +1 1 1 0.49 0.42 0.30 0.36 1.2 -0.60 -0.89 -0.72 2.39 -0.74 -1.5 -1 -3.1 -1.3 -2.3 -2 -1.9 -1.6 -2.6 -2 -1.3 -1.8 -2.6 -1.2 0 -2 -2.7 -1.3 0.63 +0:0 0 +0 +0 +100 50 50 mcmc.dat \ No newline at end of file diff --git a/inputfiles/calibration/calibration_2bins b/inputfiles/calibration/calibration_2bins new file mode 100644 index 0000000..4581814 --- /dev/null +++ b/inputfiles/calibration/calibration_2bins @@ -0,0 +1,10 @@ +2 +data/calibration/lc_drive.dat 0 +data/calibration/lc_1.dat 0 +2 5e-3 5e-2 5e-1 +0 +1 1 1 1 1 1 1 1 +0:1 1 +0 +0 +100 50 50 mcmc.dat diff --git a/inputfiles/calibration b/inputfiles/calibration/calibration_3bins similarity index 75% rename from inputfiles/calibration rename to inputfiles/calibration/calibration_3bins index 8f999aa..8fd1871 100644 --- a/inputfiles/calibration +++ b/inputfiles/calibration/calibration_3bins @@ -1,5 +1,5 @@ 2 -data/calibration/lc_drive.dat +data/calibration/lc_drive.dat 0 data/calibration/lc_1.dat 0 3 5e-3 1e-2 5e-2 5e-1 0 diff --git a/inputfiles/calibration/calibration_final b/inputfiles/calibration/calibration_final new file mode 100644 index 0000000..32866c4 --- /dev/null +++ b/inputfiles/calibration/calibration_final @@ -0,0 +1,10 @@ +2 +data/calibration/lc_drive.dat 0 +data/calibration/lc_2.dat 0 +8 0.005 0.019 0.0425 0.07 0.11 0.17 0.24 0.4 0.603 +0 +1 1 1 0.49 0.42 0.30 0.36 1.2 -0.60 -0.89 -0.72 2.39 -0.74 -1.5 -1 -3.1 -1.3 -2.3 -2 -1.9 -1.6 -2.6 -2 -1.3 -1.8 -2.6 -1.2 0 -2 -2.7 -1.3 0.63 +0:0 0 +0 +0 +100 50 50 mcmc.dat \ No newline at end of file diff --git a/inputfiles/calibration/calibration_final_onefile b/inputfiles/calibration/calibration_final_onefile new file mode 100644 index 0000000..0982186 --- /dev/null +++ b/inputfiles/calibration/calibration_final_onefile @@ -0,0 +1,9 @@ +1 +data/calibration/lc_drive_2.dat 0 +8 0.005 0.019 0.0425 0.07 0.11 0.17 0.24 0.4 0.603 +0 +1 1 1 0.49 0.42 0.30 0.36 1.2 -0.60 -0.89 -0.72 2.39 -0.74 -1.5 -1 -3.1 -1.3 -2.3 -2 -1.9 -1.6 -2.6 -2 -1.3 -1.8 -2.6 -1.2 0 -2 -2.7 -1.3 0.63 +0 1 +0 +0 +100 50 50 mcmc.dat \ No newline at end of file diff --git a/inputfiles/default b/inputfiles/default deleted file mode 100644 index 2a2ccc0..0000000 --- a/inputfiles/default +++ /dev/null @@ -1,10 +0,0 @@ -1 -../data/calibration/lc_1.dat 0 -3 1e-5 1e-4 5e-4 1e-3 -1 -1 1 1 1 1 1 1 1 1 1 1 1 -0 1 -0 -0 -100 50 50 mcmc.dat - diff --git a/notes/Fourier Frequencies b/notes/Fourier Frequencies new file mode 100644 index 0000000..f0bc1e6 --- /dev/null +++ b/notes/Fourier Frequencies @@ -0,0 +1,134 @@ + + +HST1367 time boundaries (days) +────────────────────────────── +56691.5 +56865.9 + + + + +Fourier Quantification +────────────────────── +(56865.9 - 56691.5) days = 174.4 days + +1 / (174.4 days) = ~0.00573394495412844037 days⁻¹ + + First 27 Frequencies + ──────────────────── + Linear Log₁₀ + 0.00573394495412844037 -2.24154648059654841582 + 0.01146788990825688074 -1.94051648493256722061 + 0.01720183486238532111 -1.76442522587688597853 + 0.02293577981651376148 -1.63948648926858602540 + 0.02866972477064220185 -1.54257647626052961104 + 0.03440366972477064222 -1.46339523021290478332 + 0.04013761467889908259 -1.39644844058229158511 + 0.04587155963302752296 -1.33845649360460483018 + 0.05160550458715596333 -1.28730397115722354124 + 0.0573394495412844037 -1.24154648059654841582 + 0.06307339449541284407 -1.20015379543832337508 + 0.06880733944954128444 -1.16236523454892358810 + 0.07454128440366972481 -1.12760312828971164662 + 0.08027522935779816518 -1.09541844491831038990 + 0.08600917431192660555 -1.06545522154086717374 + 0.09174311926605504592 -1.03742649794062363497 + 0.09747706422018348629 -1.01109755921827448728 + 0.10321100917431192666 -0.98627397549324234602 + 0.10894495412844036703 -0.96279287964371945429 + 0.1146788990825688074 -0.94051648493256722061 + 0.12041284403669724777 -0.91932718586262914782 + 0.12614678899082568814 -0.89912379977434217986 + 0.13188073394495412851 -0.87981864457895553696 + 0.13761467889908256888 -0.86133523888494239289 + 0.14334862385321100925 -0.84360647192451080625 + 0.14908256880733944962 -0.82657313262573045141 + 0.15481651376146788999 -0.81018271643756110394 + +Calibration Bins +──────────────── +min max binned # +0.005 0.019 3 + 0.00573394495412844037 -2.24154648059654841582 + 0.01146788990825688074 -1.94051648493256722061 + 0.01720183486238532111 -1.76442522587688597853 +0.019 0.0425 4 + 0.02293577981651376148 -1.63948648926858602540 + 0.02866972477064220185 -1.54257647626052961104 + 0.03440366972477064222 -1.46339523021290478332 + 0.04013761467889908259 -1.39644844058229158511 +0.0425 0.07 5 + 0.04587155963302752296 -1.33845649360460483018 + 0.05160550458715596333 -1.28730397115722354124 + 0.0573394495412844037 -1.24154648059654841582 + 0.06307339449541284407 -1.20015379543832337508 + 0.06880733944954128444 -1.16236523454892358810 +0.07 0.11 7 + 0.07454128440366972481 -1.12760312828971164662 + 0.08027522935779816518 -1.09541844491831038990 + 0.08600917431192660555 -1.06545522154086717374 + 0.09174311926605504592 -1.03742649794062363497 + 0.09747706422018348629 -1.01109755921827448728 + 0.10321100917431192666 -0.98627397549324234602 + 0.10894495412844036703 -0.96279287964371945429 +0.11 0.17 8 + 0.1146788990825688074 -0.94051648493256722061 + 0.12041284403669724777 -0.91932718586262914782 + 0.12614678899082568814 -0.89912379977434217986 + 0.13188073394495412851 -0.87981864457895553696 + 0.13761467889908256888 -0.86133523888494239289 + 0.14334862385321100925 -0.84360647192451080625 + 0.14908256880733944962 -0.82657313262573045141 + 0.15481651376146788999 -0.81018271643756110394 +0.17 0.24 12 (30-41) +0.24 0.4 28 (42-69) +0.4 0.603 36 (70-105) + + +Binning Regimes to Try on i band Lightcurve +─────────────────────────────────────────── +With lowest frequency + 0.0049999999 0.018619375 + 0.018619375 0.044733049 + 0.044733049 0.069336227 + 0.069336227 0.10747115 + 0.10747115 0.16658029 + 0.16658029 0.25819945 + 0.25819945 0.40020915 + 0.40020915 0.62032418 + +Next, let’s remove that lowest frequency + + 0.0099999998 0.024025000 + 0.024025000 0.037238750 + 0.037238750 0.057720063 + 0.057720063 0.089466098 + 0.089466098 0.13867245 + 0.13867245 0.21494230 + 0.21494230 0.33316057 + 0.33316057 0.51639889 + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/notes/log b/notes/log new file mode 100644 index 0000000..4b40778 --- /dev/null +++ b/notes/log @@ -0,0 +1,56 @@ +Week 1: + +Given four papers to read +Giving version 1 of the psdlag program +spent some time exploring the program +mostly read papers + + +Week 2: +Given calibration data in the form of light curves produced by a known transfer function + +Did things, forgot to keep track + +Week 3-4ish: +A script has been created to read an output file from psdlag and then plot the source and reprocessed power spectral densities, the cross-correlation power spectral density, and the phase difference between the signals. + +scripts/power_lag_plot.pl + + +2016- + + +2016-07-11 + + created gnuplot templates for plotting the timelags and power spectrum densities + - still need to modify this for points to be evenly spaced in log space + +2016-07-14 + Ran through results with simple error checking and determined they made sense. + Project can continue. + +2016-07-15 + Determined frequency binning for PSD and timelags: + + 0.0049999999 0.018619375 + 0.018619375 0.044733049 + 0.044733049 0.069336227 + 0.069336227 0.10747115 + 0.10747115 0.16658029 + 0.16658029 0.25819945 + 0.25819945 0.40020915 + 0.40020915 0.62032418 + + + +2016-07-18 + Ran first MCMC run, need to analyze results + +2016-07-25 + Determined MC is definitely the way to go, with at least 1000 simulations. + + Setup scripts to run simulations on Thor, one simulation per processor. + +2016-07-26 + MC giving huge errors. Putting together plots to send to Dr. Zoghbi. + diff --git a/plot.sh b/plot.sh new file mode 100644 index 0000000..9139da3 --- /dev/null +++ b/plot.sh @@ -0,0 +1,5 @@ +#!/usr/bin/env bash + +# This metascript uses the available plotting scripts to produce a list of +# document-rady plots. + diff --git a/pres/final_notes b/pres/final_notes new file mode 100644 index 0000000..d23312c --- /dev/null +++ b/pres/final_notes @@ -0,0 +1,10 @@ +Intro + + continuum reverberation mapping + tradiational approach + our approach + +results + +future work + diff --git a/pres/report/report.tex b/pres/report/report.tex new file mode 100644 index 0000000..ae6e7aa --- /dev/null +++ b/pres/report/report.tex @@ -0,0 +1,29 @@ +\begin{abstract} + +\section{Introduction} + +The study of Active Galactic Nuclei (AGN) promises to inform many fields of physical science. As a standard candle, AGN could provide structural information about the universe beyond the supernova horizon, allowing a better measurement of cosmological parameters such as the Expansion Coefficient. + + \subsection{continuing research} + + \endsubsection + + \subsection{Traditional Reverberation Mapping} + + \endsubsection + + \subsection{Maximum Likelihood Method} + + \endsubsection + +\endsection + +\section{Results} + +\endsection + +\section{Future Work} + +\endsection + + diff --git a/scripts/analyze_lightcurves.sh b/scripts/analyze_lightcurves.sh new file mode 100755 index 0000000..effb9b0 --- /dev/null +++ b/scripts/analyze_lightcurves.sh @@ -0,0 +1,168 @@ +#!/usr/bin/env bash + +timestep="0.1" +ref_band='1367Å' +# Parameters for HST(𝛌=1367Å) from MC results +refpsd_params="6.533e-02 -9.694e-02 -1.175e+00 -1.525e+00 -2.166e+00 -2.492e+00 -3.258e+00 -9.328e+00" +# Parameters for HST(𝛌=1367Å) from covariance matrix estimates +#refpsd_params="7.376e-02 -1.976e-01 -1.182e+00 -1.521e+00 -2.144e+00 -2.503e+00 -3.580e+00 -1.233e+01" + + +error_type="1" +# error types: +# 0 for covariance matrix, 1 for likelihood function, 2 for monte carlo +case $error_type in + "0") err_src="CM";; + "1") err_src="LF";; + "2") err_src="MC";; +esac + +mkdir -p analyses + +host=$1 + +if [[ "$(hostname)" == "thor.cs.wmich.edu" ]] +then + host="thor" +fi + +if [[ $host == "thor" ]] +then + echo Setting up Thor environment. + mkdir -p thor + mkdir -p thor/arguments + if [[ -e thor/submissions ]]; then echo "" >> thor/submissions; fi + date >> thor/submissions + echo "─────────────────────────────" >> thor/submissions +fi + +lc_dir="data/STORM_III/lightcurves/Δt=${timestep}" +echo Using lightcurves in $lc_dir. +ref_curve="${lc_dir}/${ref_band}.lc" + +for echo_curve in $lc_dir/* +do + # Determine band and inputs for band + echo_band=$(basename $echo_curve|sed 's@\(.*\)\.lc@\1@') + echo -n $(date "+%R")\: Running psdlag for $echo_band against $ref_band. + outputfile="analyses/${ref_band}_≺_${echo_band}_{Δt=${timestep};σ∊${err_src}}" + case $echo_band in + "4775Å") + initial_params="$refpsd_params -9.745e-01 -1.384e+00 -2.748e+00 -3.305e+00 -3.314e+00 -3.389e+00 -4.198e+00 -4.465e+00 -4.700e-01 -7.487e-01 -2.046e+00 -2.428e+00 -2.953e+00 -3.086e+00 -3.761e+00 -4.290e+00 9.862e-02 3.899e-01 8.650e-01 5.516e-01 2.228e-01 9.508e-01 -2.872e-01 9.059e-02" + ;; + "1158Å") + initial_params="$refpsd_params 2.504e-01 3.210e-02 -9.091e-01 -1.226e+00 -1.790e+00 -2.227e+00 -2.929e+00 -5.131e+00 1.618e-01 -8.299e-02 -1.045e+00 -1.370e+00 -1.952e+00 -2.338e+00 -3.075e+00 -3.742e+00 -3.301e-02 -7.353e-02 -7.112e-02 -5.938e-02 -4.394e-02 -1.756e-01 -2.617e-01 -1.425e-01" + ;; + "1367Å") + initial_params="$refpsd_params 6.534e-02 -9.689e-02 -1.175e+00 -1.525e+00 -2.167e+00 -2.492e+00 -3.258e+00 -1.115e+01 6.378e-02 -9.676e-02 -1.181e+00 -1.520e+00 -2.180e+00 -2.532e+00 -3.129e+00 -3.794e+00 -8.535e-05 -5.126e-04 -4.066e-04 1.080e-03 -2.682e-03 -5.462e-03 -2.209e-02 1.564e-01" + ;; + "1479Å") + initial_params="$refpsd_params 0.2e+00 -0.2e+00 -1.0e+00 -1.500e+00 -2.0e+00 -2.6e+00 -3.4e+00 -6e+00 9.340e-02 -8.842e-02 -1.173e+00 -1.512e+00 -2.113e+00 -2.547e+00 -3.178e+00 -7.000e+00 -6.035e-02 2.044e-02 1.258e-01 5.764e-02 2.580e-02 -4.737e-02 9.579e-02 6.411e-01" + ;; + "1746Å") + initial_params="$refpsd_params 3.934e-02 -1.638e-01 -1.339e+00 -1.655e+00 -2.232e+00 -2.793e+00 -4.025e+00 -1.072e+01 5.043e-02 -1.304e-01 -1.254e+00 -1.587e+00 -2.207e+00 -2.693e+00 -3.209e+00 -3.820e+00 3.040e-02 2.438e-02 1.450e-01 1.458e-01 1.772e-01 2.076e-01 -1.390e-01 3.929e-01" + ;; + "7647Å") + initial_params="$refpsd_params -1.510e+00 -1.872e+00 -3.441e+00 -3.722e+00 -4.794e+00 -4.336e+00 -4.644e+00 -5.061e+00 -7.402e-01 -9.967e-01 -2.393e+00 -2.723e+00 -3.701e+00 -3.742e+00 -4.317e+00 -4.979e+00 2.638e-01 7.095e-01 1.297e+00 1.035e+00 9.267e-01 8.982e-01 7.318e-01 9.092e-01" + ;; + "8560Å") + initial_params="$refpsd_params -1.497e+00 -1.786e+00 -3.555e+00 -4.203e+00 -3.826e+00 -4.096e+00 -4.304e+00 -1.109e+01 -7.542e-01 -9.532e-01 -2.397e+00 -3.214e+00 -3.008e+00 -3.489e+00 -4.353e+00 -4.061e+00 1.675e-01 7.660e-01 1.781e+00 1.971e+00 6.572e-01 8.520e-01 2.405e+00 -1.573e-01" + ;; + "6175Å") + initial_params="$refpsd_params -1.372e+00 -1.786e+00 -3.214e+00 -3.558e+00 -4.416e+00 -4.366e+00 -4.559e+00 -4.586e+00 -6.693e-01 -5.998e+00 -2.390e+00 -2.927e+00 -3.411e+00 -3.731e+00 -3.930e+00 -7.000e+00 2.905e-01 1.835e+00 8.760e-01 1.476e+00 -3.280e-01 1.439e+00 9.464e-02 1.532e+00" + ;; + "6439Å") + initial_params="$refpsd_params -1.287e+00 -1.580e+00 -2.879e+00 -3.569e+00 -3.661e+00 -4.471e+00 -3.998e+00 -5.001e+00 -6.583e-01 -6.900e+00 -2.060e+00 -2.727e+00 -2.954e+00 -3.654e+00 -4.406e+00 -5.203e+00 1.448e-01 -1.004e-01 9.754e-01 1.140e+00 9.284e-01 1.116e+00 2.092e+00 8.634e-01" + ;; + #"4392Å") + # initial_params="$refpsd_params -5.0e-01 -1.0e+00 -2.7e+00 -3.7e+00 -4.5e+00 -5.5e+00 -6.5e+00 -7.5e+00 -2.515e-01 -6.156e-01 -1.924e+00 -2.417e+00 -3.053e+00 -6.570e+00 -3.450e+00 -6.333e+00 0.027 0.187189 0.39349 0.479216 0.405156 0.313996 0.486696 0.502917" + # old params initial_params="$refpsd_params -5.0e-01 -1.0e+00 -2.7e+00 -3.7e+00 -4.5e+00 -5.5e+00 -6.5e+00 -7.5e+00 -2.515e-01 -6.156e-01 -1.924e+00 -2.417e+00 -3.053e+00 -6.570e+00 -3.450e+00 -6.333e+00 7.408e-02 3.089e-01 5.057e-01 4.831e-01 5.779e-01 6.277e-01 4.823e-01 6.110e-01" + #;; + "3465Å") + initial_params="$refpsd_params -3.178e-01 -7.537e-01 -2.402e+00 -2.624e+00 -3.413e+00 -3.834e+00 -1.236e+01 -1.071e+01 -1.376e-01 -4.256e-01 -1.794e+00 -2.123e+00 -2.817e+00 -3.029e+00 -4.139e+00 -7.000e+00 7.840e-02 3.388e-01 6.616e-01 1.349e-01 9.909e-01 8.538e-01 1.397e+00 6.412e-01" + ;; + "5468Å") + initial_params="$refpsd_params -8.802e-01 -1.441e+00 -2.883e+00 -4.483e+00 -1.045e+01 -1.041e+01 -1.042e+01 -1.078e+01 -4.161e-01 -7.660e-01 -2.020e+00 -3.201e+00 -2.699e+00 -2.859e+00 -3.653e+00 -5.501e+00 1.900e-02 3.560e-01 1.007e+00 -1.270e+00 1.858e+00 9.302e-01 -1.502e+00 2.653e+00" + ;; + "3471Å") + initial_params="$refpsd_params -4.289e-01 -9.017e-01 -2.581e+00 -2.751e+00 -2.764e+00 -3.105e+00 -3.298e+00 -3.870e+00 -1.925e-01 -5.093e-01 -1.923e+00 -2.204e+00 -2.568e+00 -2.768e+00 -3.425e+00 -5.982e+00 1.646e-01 4.376e-01 7.202e-01 9.556e-01 4.856e-01 2.985e-01 -6.801e-01 -2.416e+00" + ;; + "2246Å") + initial_params="$refpsd_params -1.003e-01 -5.235e-01 -1.863e+00 -2.159e+00 -2.718e+00 -3.504e+00 -1.139e+01 -4.119e+00 -2.431e-02 -3.121e-01 -1.526e+00 -1.877e+00 -2.455e+00 -2.945e+00 -3.356e+00 -3.602e+00 -1.862e-04 1.380e-01 2.475e-01 3.102e-02 6.040e-01 -1.488e-01 1.171e+00 1.617e+00" + ;; + "2600Å") + initial_params="$refpsd_params -2.417e-01 -7.027e-01 -1.998e+00 -2.387e+00 -2.912e+00 -4.026e+00 -1.069e+01 -9.716e+00 -9.867e-02 -4.150e-01 -1.587e+00 -1.963e+00 -2.539e+00 -3.274e+00 -3.460e+00 -6.742e+00 6.734e-02 1.353e-01 3.585e-01 1.587e-01 2.959e-01 1.111e-01 2.364e-01 7.463e-01" + ;; + #"1928Å") + # initial_params="$refpsd_params -1.648e-01 -4.974e-01 -1.686e+00 -1.897e+00 -2.600e+00 -2.801e+00 -3.814e+00 -9.888e+00 -6.101e-02 -3.020e-01 -1.433e+00 -1.756e+00 -2.485e+00 -2.799e+00 -3.317e+00 -7.000e+00 4.622e-02 1.473e-01 2.243e-01 1.606e-01 2.365e-01 1.484e-01 8.110e-01 9.689e-01" + #;; + "5404Å") + initial_params="$refpsd_params -1.044e+00 -1.457e+00 -2.848e+00 -2.957e+00 -4.232e+00 -4.052e+00 -4.515e+00 -5.250e+00 -5.026e-01 -7.878e-01 -2.118e+00 -2.276e+00 -3.421e+00 -3.378e+00 -4.224e+00 -4.930e+00 9.142e-02 4.814e-01 8.550e-01 3.929e-01 3.975e-01 5.311e-01 -1.203e-01 -2.905e+00" + ;; + "9157Å") + initial_params="$refpsd_params -1.852e+00 -2.156e+00 -3.798e+00 -4.146e+00 -4.577e+00 -4.338e+00 -4.672e+00 -5.230e+00 -9.339e-01 -1.131e+00 -2.536e+00 -3.031e+00 -4.060e+00 -3.801e+00 -4.139e+00 -5.151e+00 2.445e-01 8.131e-01 1.621e+00 1.460e+00 2.909e-01 6.991e-01 -5.831e-01 -2.921e-01" + ;; + *) + echo -n " Unknown band: using default parameters." + initial_params="$refpsd_params -9.745e-01 -1.384e+00 -2.748e+00 -3.305e+00 -3.314e+00 -3.389e+00 -4.198e+00 -4.465e+00 -4.700e-01 -7.487e-01 -2.046e+00 -2.428e+00 -2.953e+00 -3.086e+00 -3.761e+00 -4.290e+00 9.862e-02 3.899e-01 8.650e-01 5.516e-01 2.228e-01 9.508e-01 -2.872e-01 9.059e-02" + ;; + esac + + # Write temporary input file + echo "2" > tmp.psdlagargs + echo "$ref_curve 0" >> tmp.psdlagargs + echo "$echo_curve 0" >> tmp.psdlagargs + echo "8 0.0049999999 0.018619375 0.044733049 0.069336227 0.10747115 0.16658029 0.25819945 0.40020915 0.62032418" >> tmp.psdlagargs + echo "0" >> tmp.psdlagargs + echo "$initial_params" >> tmp.psdlagargs + echo "0:0 0" >> tmp.psdlagargs + echo $error_type >> tmp.psdlagargs + echo "0" >> tmp.psdlagargs + # Use 10x num vars for walkers + echo -n "1000 50 400 mcmc_${echo_band}.dat" >> tmp.psdlagargs + + # Run psdlag with inputs + if [[ $host == "thor" || "$(hostname)" == "thor.cs.wmich.edu" ]] + then + echo_band_noUTF=$(echo $echo_band| + #sed 's|𝛌||g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=||g'| + sed 's|Å|A|g') + outputfile_noUTF=$(echo $outputfile| + #sed 's|𝛌||g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=||g'| + sed 's|[{}]|_|g'| + sed 's|;|_|'| + sed 's|Å|A|g'| + sed 's|_≺_|_|g'| + sed 's|σ∊|err|') + if [[ -e $outputfile_noUTF ]] + then + echo -n " Analysis already exists; skipping." + else + argsfile="thor/arguments/$echo_band_noUTF.args" + submitscript="thor/${echo_band_noUTF}.pbs" + cp tmp.psdlagargs $argsfile + cat scripts/templates/thor_submit.pbs| + sed "s@%NAME%@psdlag_${echo_band_noUTF}@g"| + sed "s@%ARGSFILE%@${argsfile}@g"| + sed "s@%ROOTDIR%@$(pwd)@g"| + sed "s@%OUTPUTFILE%@${outputfile_noUTF}@g" > $submitscript + cd thor + qsub $(basename $submitscript) >> submissions + cd .. + fi + else + if [[ -e $outputfile ]] + then + echo -n " Analysis already exists; skipping." + else + time bin/psdlag tmp.psdlagargs > $outputfile + fi + fi + echo "" +done diff --git a/scripts/create_tables.pl b/scripts/create_tables.pl new file mode 100755 index 0000000..8b27fc0 --- /dev/null +++ b/scripts/create_tables.pl @@ -0,0 +1,286 @@ +#!/usr/bin/env perl + + +use utf8; +use Encode qw(encode decode); +use feature 'say'; +use locale; +use Switch; + +use constant PI => 4 * atan2(1, 1); + +# Enables various levels of output. +our $verbose=1; +our $debug=0; + + +# This section locates the output data of interest in a +# psdlab output file. +if (!${^UTF8LOCALE}) { + say encode($charset,"You are not using UTF-8 encoding. :("); +} +my $charset=$ENV{LANG}; +our $outputfilename=decode($charset,$ARGV[0]); +open $outputfile,'<',$outputfilename or die $!; + +my $star_linenum_1=0; +my $star_linenum_2=0; +my $star_bytenum_1=0; +my $star_bytenum_2=0; + +my $linenum=0; +while(<$outputfile>) { + $linenum++; + if ($_ =~ /^\*+$/) { + $star_linenum_1=$star_linenum_2; + $star_linenum_2 = $linenum; + $star_bytenum_1=$star_bytenum_2; + #$star_bytenum_2 = $outputfile.tell(); + $star_bytenum_2 = tell($outputfile); + } +} +if ($debug) { + say encode($charset,"Final set found between lines "), + $star_linenum_1, + " and ", + $star_linenum_2; + + say encode($charset,"Final set found between bytes "), + $star_bytenum_1, + " and ", + $star_bytenum_2; +} +seek($outputfile,$star_bytenum_1,0); +<$outputfile>; +$bin_bounds_line = <$outputfile>; +#say $bin_bounds_line; +$bin_bounds_line =~ s/^#\s*(.*)$/$1/; +#$line =~ / +@bin_bounds = split /\s/,$bin_bounds_line; +if ($debug) { + print encode($charset,"Found bin boundaries: "); + foreach (@bin_bounds) {print encode($charset,"$_ ");} + say encode($charset," "); +} + + + +# This captures the frequency bins. +our %function_bin = (); + +my $upper_bound = 0; +my $lower_bound = 0; +foreach (@bin_bounds) { + $lower_bound = $upper_bound; + $upper_bound = $_; + if ($lower_bound == 0) {next} + my $μ = ($upper_bound + $lower_bound)/2; + my $Δ = ($upper_bound - $lower_bound)/2; + #say ($μ,":",$Δ); + # push(@freq_coords_mean,$μ); + # push(@freq_coords_err,$Δ); + $function_bin{$μ} = {"Δ" => $Δ}; +} + +$numbins = keys %function_bin; +say encode($charset,"$numbins frequency bins captured in output."); + +if($verbose) { + say encode($charset,"freq μ freq σ"); + while (each %function_bin ) { + say encode($charset, + sprintf("%f %f",$_,$function_bin{$_}{"Δ"})); + } +} + + + + +=pod + + This section collects the various quantities. The mode counter +increments to designate the data being captured. + +=cut + +if ($verbose) { + say encode($charset,""); + say encode($charset, + " New Curve -- Reference Curve PSD"); + say encode($charset, + "──────────────────────────────────────────────────"); +} + +foreach ( sort { $a <=> $b } keys %function_bin ) { + my $μ = my $σ = <$outputfile>; + $μ =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $σ =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; +# if ($μ<0) { +# $μ = abs($μ); +# $function_bin{$_}{"φdiff_μ"} = PI; +# } + $function_bin{$_}{"ref_PSD_μ"} = $μ; + $function_bin{$_}{"ref_PSD_σ"} = $σ; + if ($verbose) { + say encode($charset, + "freq = " . + sprintf('%.3f',$_) . + ": μ = " . + sprintf('%10.3e',$μ) . + "; σ = " . + sprintf('%10.3e',$σ)); + } +} + +if ($verbose) { + say encode($charset,""); + say encode($charset, + " New Curve -- Reverberating Curve PSD"); + say encode($charset, + "──────────────────────────────────────────────────"); +} +foreach ( sort { $a <=> $b } keys %function_bin ) { + my $μ = my $σ = <$outputfile>; + $μ =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $σ =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; +# if ($μ<0) { +# $μ = abs($μ); +# $function_bin{$_}{"φdiff_μ"} = PI; +# } + $function_bin{$_}{"echo_PSD_μ"} = $μ; + $function_bin{$_}{"echo_PSD_σ"} = $σ; + if ($verbose) { + say encode($charset, + "freq = " . + sprintf('%.3f',$_) . + ": μ = " . + sprintf('%10.3e',$μ) . + "; σ = " . + sprintf('%10.3e',$σ)); + } +} + + +if ($verbose) { + say encode($charset,""); + say encode($charset, + " New Curve -- Cross Spectrum PSD"); + say encode($charset, + "──────────────────────────────────────────────────"); +} +foreach ( sort { $a <=> $b } keys %function_bin ) { + my $μ = my $σ = <$outputfile>; + $μ =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $σ =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; +# if ($μ<0) { +# $μ = abs($μ); +# $function_bin{$_}{"φdiff_μ"} = PI; +# } + $function_bin{$_}{"crsspctrm_PSD_μ"} = $μ; + $function_bin{$_}{"crsspctrm_PSD_σ"} = $σ; + if ($verbose) { + say encode($charset, + "freq = " . + sprintf('%.3f',$_) . + ": μ = " . + sprintf('%10.3e',$μ) . + "; σ = " . + sprintf('%10.3e',$σ)); + } +} + +if ($verbose) { + say encode($charset,""); + say encode($charset, + " New Curve -- Phase Difference φ"); + say encode($charset, + "──────────────────────────────────────────────────"); +} +foreach ( sort { $a <=> $b } keys %function_bin ) { + my $μ = my $σ = <$outputfile>; + $μ =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $σ =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; + if (exists $function_bin{$_}{"φdiff_μ"}) { + $μ = $function_bin{$_}{"φdiff_μ"} + $μ; + } + $function_bin{$_}{"φdiff_μ"} = $μ; + $function_bin{$_}{"φdiff_σ"} = $σ; + if ($verbose) { + say encode($charset, + "freq = " . + sprintf('%.3f',$_) . + ": μ = " . + sprintf('%10.3e',$μ) . + "; σ = " . + sprintf('%10.3e',$σ)); + } + $μ = $μ/(2*PI*$_); + $σ = $σ/(2*PI*$_); + $function_bin{$_}{"timelag_μ"} = $μ; + $function_bin{$_}{"timelag_σ"} = $σ; + if ($verbose) { + say encode($charset, + " timelag: μ = " . + sprintf('%10.3e',$μ) . + "; σ = " . + sprintf('%10.3e',$σ)) . + "\n"; + } +} + +say encode($charset,""); + +if($debug) { + while (each %function_bin ) { + print encode($charset,$_ . ": "); + while ( my ($key,$value) = each %{$function_bin{$_}} ) { + print encode($charset,$key . " => " . $value . "; "); + } + say encode($charset,""); + } +} + +close($outputfile); + +open($datafile,'>',"tmp.refPSD") or die $!; +while( each %function_bin) { + say $datafile + $_ . " " . + $function_bin{$_}{"ref_PSD_μ"} . " " . + $function_bin{$_}{"Δ"} . " " . + $function_bin{$_}{"ref_PSD_σ"}; +} +close($datafile); + +open($datafile,'>',"tmp.echoPSD") or die $!; +while( each %function_bin) { + say $datafile + $_ . " " . + $function_bin{$_}{"echo_PSD_μ"} . " " . + $function_bin{$_}{"Δ"} . " " . + $function_bin{$_}{"echo_PSD_σ"}; +} +close($datafile); + +open($datafile,'>',"tmp.crsspctrmPSD") or die $!; +while( each %function_bin) { + say $datafile + $_ . " " . + $function_bin{$_}{"crsspctrm_PSD_μ"} . " " . + $function_bin{$_}{"Δ"} . " " . + $function_bin{$_}{"crsspctrm_PSD_σ"}; +} +close($datafile); + +open($datafile,'>',"tmp.timelag") or die $!; +while( each %function_bin) { + say $datafile + $_ . " " . + $function_bin{$_}{"timelag_μ"} . " " . + $function_bin{$_}{"Δ"} . " " . + $function_bin{$_}{"timelag_σ"}; +} +close($datafile); + + +#open($datafile,'>',"tmp.echoPSD") or die $!; diff --git a/scripts/fix_swapped_names.sh b/scripts/fix_swapped_names.sh new file mode 100755 index 0000000..09a6ab9 --- /dev/null +++ b/scripts/fix_swapped_names.sh @@ -0,0 +1,13 @@ +#!/usr/bin/env bash + +for analysis in analyses/* +do + # Grab and determine labels of analyses + ref_band=$(basename $analysis|sed 's|[^≻]*_≻_\([^≻_]*\)_[^_]*_[^_]*|\1|') + echo_band=$(basename $analysis|sed 's|\([^≻]*\)_≻_[^≻_]*_[^_]*_[^_]*|\1|') + timestep_str=$(basename $analysis|sed 's|[^≻]*_≻_[^≻_]*_\([^_]*\)_σ∊[CLM][MFC]|\1|') + err_str=$(basename $analysis|sed 's|[^≻]*_≻_[^≻_]*_[^_]*_\(σ∊[CLM][MFC]\)|\1|') + + newname="${ref_band}_≺_${echo_band}_${timestep_str}_${err_str}" + mv $analysis analyses/$newname +done \ No newline at end of file diff --git a/scripts/fix_thor_names.sh b/scripts/fix_thor_names.sh new file mode 100755 index 0000000..782bb82 --- /dev/null +++ b/scripts/fix_thor_names.sh @@ -0,0 +1,22 @@ +#!/usr/bin/env bash + + +for analysis in analyses/*A_* +do + if [[ $analysis == "analyses/*A_*" ]]; then continue; fi + echo Restoring unicode characters to $analysis. + new_name=$(basename $analysis| + #sed 's|_\([0-9]\+\)|\(𝛌=\1|g'| + sed 's|_|≺|'| + sed 's|A|Å|'| + sed 's|A_|Å%|'| + sed 's|_|{|'| + sed 's|_|;|'| + sed 's|_||g'| + #sed 's|_|}|'| + sed 's|≺|_≺_|'| + sed 's|Å%|Å_|'| + sed 's|Δt|Δt=|'| + sed 's|err|σ∊|')} + mv $analysis analyses/$new_name +done \ No newline at end of file diff --git a/scripts/gaussian_fit.py b/scripts/gaussian_fit.py new file mode 100644 index 0000000..45741e7 --- /dev/null +++ b/scripts/gaussian_fit.py @@ -0,0 +1,74 @@ +import numpy as np +from astropy.modeling import models, fitting + +# Using Models + +# The astropy.modeling package defines a number of models that are collected under a single namespace as astropy.modeling.models. Models behave like parametrized functions: + +from astropy.modeling import models +g = models.Gaussian1D(amplitude=1.2, mean=0.9, stddev=0.5) +print(g) +# Model: Gaussian1D +# Inputs: ('x',) +# Outputs: ('y',) +# Model set size: 1 +# Parameters: +# amplitude mean stddev +# --------- ---- ------ +# 1.2 0.9 0.5 +# +# Model parameters can be accessed as attributes: + +g.amplitude +# Parameter('amplitude', value=1.2) +g.mean +# Parameter('mean', value=0.9) +g.stddev +# Parameter('stddev', value=0.5) + +# and can also be updated via those attributes: + +g.amplitude = 0.8 +g.amplitude +# Parameter('amplitude', value=0.8) + +# Models can be evaluated by calling them as functions: + +g(0.1) +# 0.22242984036255528 +g(np.linspace(0.5, 1.5, 7)) +# array([ 0.58091923, 0.71746405, 0.7929204 , 0.78415894, 0.69394278, +# 0.54952605, 0.3894018 ]) + + + +import numpy as np +import matplotlib.pyplot as plt +from astropy.modeling import models, fitting + +# Generate fake data +np.random.seed(0) +x = np.linspace(-5., 5., 200) +y = 3 * np.exp(-0.5 * (x - 1.3)**2 / 0.8**2) +y += np.random.normal(0., 0.2, x.shape) + +# Fit the data using a box model +t_init = models.Trapezoid1D(amplitude=1., x_0=0., width=1., slope=0.5) +fit_t = fitting.LevMarLSQFitter() +t = fit_t(t_init, x, y) + +# Fit the data using a Gaussian +g_init = models.Gaussian1D(amplitude=1., mean=0, stddev=1.) +fit_g = fitting.LevMarLSQFitter() +g = fit_g(g_init, x, y) + +# Plot the data with the best-fit model +plt.figure(figsize=(8,5)) +plt.plot(x, y, 'ko') +plt.plot(x, t(x), label='Trapezoid') +plt.plot(x, g(x), label='Gaussian') +plt.xlabel('Position') +plt.ylabel('Flux') +plt.legend(loc=2) + +plt.show() \ No newline at end of file diff --git a/scripts/heasoft_to_psdlag.pl b/scripts/heasoft_to_psdlag.pl new file mode 100755 index 0000000..d77458f --- /dev/null +++ b/scripts/heasoft_to_psdlag.pl @@ -0,0 +1,88 @@ +#!/usr/bin/env perl + +use feature say; +use utf8; + +# reads (stdin) a heasoft data set (single filter) as compiled circa 2016 by Cackett @ WSU +# outputs (stdout) a lightcurve in psdlag circa 2016 Zoghbi @ UMY input format + +# smallest time interval. +my $Δt = 0.1; +# normalization factor based on inspection of data +my $flux_norm = 1e14; + +# This sets up the capture widths for rounding +# Add two because need to read more digits for rounding +$keep_digits = -1 * log10($Δt) + 2; +$throw_digits = 5 - $keep_digits; + +# Skip first line -- shouldn't need this for a single filter +<>; + +#Start file Δt and with number of light curves (1) +my $linetoprint="# $Δt 1"; + +my $num_avg = 0; +while (<>) { + $_ =~ /^.{8}\s+([0-9]{4})\s+([0-9]{5})\.([0-9]{$keep_digits})[0-9]{$throw_digits}(.*)/; + # wavelength/label, characteristic, mantissa, everything else + ($λ, $t𝓃, $t𝜀, $vals) = ($1,$2,$3,$4); + + # Round t according to Δt + if (!(chop($t𝜀) == 0) + chop($t𝜀) > 5) {$t𝜀++;} + if ($t𝜀 >= (1/$Δt)) { + $t𝓃 += 1; + $t𝜀 = 0; + } + if ($Δt >= 1) { $t𝜀 = 0; } + + # Print all values for this line + # say "$λ\t$t𝓃.$t𝜀$vals"; + + # Compile variables for this line + ($flux_μ,$flux_σ,$mag_μ,$mag_σ,$telescope_id) = split ' ',$vals; + $flux_μ *= $flux_norm; + $flux_σ *= $flux_norm; + + # Print light curve for psdlag + # This mess to average measurements occuring at the same time coordinate + $this_t = "$t𝓃.$t𝜀"; + if ($this_t == $last_t) { + if ($heap_count == 1) { + if ( $linetoprint =~ /([0-9\.]+)\s+([0-9e\-\.]+)\s+([0-9e\-\.]+)/ ) { + our $new_flux_μ = $flux_μ + $2; + # Could just take the max error + # $new_flux_σ = max($flux_σ,$3); + # Average error seems fair + our $new_flux_σ = $flux_σ + $3; + $num_avg++; + } + else { die "Malformed data"; } + } + else { + $new_flux_μ += $flux_μ; + $new_flux_σ += $flux_σ; + } + $heap_count++; + } + else { + if ($heap_count > 1) { + $new_flux_μ /= $heap_count; + $new_flux_σ /= $heap_count; + $linetoprint="$last_t $new_flux_μ $new_flux_σ"; + our $heap_count = 1; + } + say $linetoprint; + $linetoprint = "$this_t $flux_μ $flux_σ"; + } + $last_t = $this_t; +} +say $linetoprint; + + +sub max ($$) { $_[$_[0] < $_[1]] } +sub min ($$) { $_[$_[0] > $_[1]] } +sub log10 { + my $n = shift; + return log($n)/log(10); +} diff --git a/scripts/lc_plot.pl b/scripts/lc_plot.pl new file mode 100755 index 0000000..a0a4f63 --- /dev/null +++ b/scripts/lc_plot.pl @@ -0,0 +1,211 @@ +#!/usr/bin/env perl + + +use utf8; +use Encode qw(encode decode); +use feature 'say'; +use locale; +use Switch; + +# This needs to be rewritten to plot the lightcurves instead +# of the PSD and timelags. + + +# Enables debug output. +our $debug=0; +our #verbose=0; + + + +# This section locate the output data of interest in a +# psdlab output file. +if (!${^UTF8LOCALE}) { + say encode($charset,"You are not using UTF-8 encoding. :("); +} +my $charset=$ENV{LANG}; +our $outputfilename=decode($charset,$ARGV[0]); +open $outputfile,'<',$outputfilename or die $!; + +my $star_linenum_1=0; +my $star_linenum_2=0; +my $star_bytenum_1=0; +my $star_bytenum_2=0; + +my $linenum=0; +while(<$outputfile>) { + $linenum++; + if ($_ =~ /^\*+$/) { + $star_linenum_1=$star_linenum_2; + $star_linenum_2 = $linenum; + $star_bytenum_1=$star_bytenum_2; + #$star_bytenum_2 = $outputfile.tell(); + $star_bytenum_2 = tell($outputfile); + } +} +if ($debug) { + say encode($charset,"Final set found between lines "), + $star_linenum_1, + " and ", + $star_linenum_2; + + say encode($charset,"Final set found between bytes "), + $star_bytenum_1, + " and ", + $star_bytenum_2; +} +seek($outputfile,$star_bytenum_1,0); +<$outputfile>; +$bin_bounds_line = <$outputfile>; +#say $bin_bounds_line; +$bin_bounds_line =~ s/^#\s*(.*)$/$1/; +#$line =~ / +@bin_bounds = split /\s/,$bin_bounds_line; +if ($debug) { + print encode($charset,"Found bin boundaries: "); + foreach (@bin_bounds) {print encode($charset,"$_ ");} + say encode($charset," "); +} + + +# These arrays store the various quantities of interest. +@freq_coords_avg = []; +@freq_coords_err = []; +@power_curve_source_avg = []; +@power_curve_source_err = []; +@power_curve_reprocessed_avg = []; +@power_curve_reprocessed_err = []; +@cross_correlation_power_curve_avg = []; +@cross_correlation_power_curve_err = []; +@phase_difference_avg = []; +@phase_difference_err = []; +@time_lag_avg = []; +@time_lag_err = []; + +# This captures the frequency bins. +my $upper_bound = 0; +my $lower_bound = 0; +foreach (@bin_bounds) { + $lower_bound = $upper_bound; + $upper_bound = $_; + if ($lower_bound == 0) {next} + my $avg = ($upper_bound + $lower_bound)/2; + my $err = ($upper_bound - $lower_bound)/2; + #say ($avg,":",$err); + push(@freq_coords_avg,$avg); + push(@freq_coords_err,$err); +} + +$numbins = scalar @freq_coords_avg; +say encode($charset,"$numbins frequency boundaries captured."); + + +# This section collects the various quantities. The mode counter +# increments to designate the data being captured. +my $mode=0; +while (<$outputfile>) { + next if $_ =~ /\*+/; + switch ($mode) { + case 0 { + my $avg = my $err = $_; + $avg =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $err =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; + if ($debug) { + say encode($charset,""); + say encode($charset," New Bin"); + say encode($charset,"─────────────────────────────────────────────────"); + print encode($charset,"Driving light curve power from $_"); + say encode($charset,"Average: $avg, Err: $err"); + } + push(@power_curve_source_avg,$avg); + push(@power_curve_source_err,$err); + $mode++; + } + case 1 { + my $avg = my $err = $_; + $avg =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $err =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; + if ($debug) { + print encode($charset,"Reprocessed light curve power from $_"); + say encode($charset,"Average: $avg, Err: $err"); + } + push(@power_curve_reprocessed_avg,$avg); + push(@power_curve_reprocessed_err,$err); + $mode++; + } + case 2 { + my $avg = my $err = $_; + $avg =~ s/^([\-\+e0-9\.]+)+\s+[\-\+e0-9\.]+\s*$/$1/; + $err =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; + if ($debug) { + print encode($charset,"Cross-Correlation from $_"); + say encode($charset,"Average: $avg, Err: $err"); + } + push(@cross_correlation_power_curve_avg,$avg); + push(@cross_correlation_power_curve_err,$err); + $mode++; + } + case 3 { + my $avg = my $err = $_; + $avg =~ s/^([\-\+e0-9\.]+)\s+[\-\+e0-9\.]+\s*$/$1/; + $err =~ s/^[\-\+e0-9\.]+\s+([\-\+e0-9\.]+)\s*$/$1/; + if ($debug) { + print encode($charset,"Phase different from $_"); + say encode($charset,"Average: $avg, Err: $err"); + } + push(@phase_difference_avg,$avg); + push(@phase_difference_err,$err); + $mode = 0; + } + } # End switch +} + +$numvals = scalar @power_curve_source_avg; +say encode($charset,"Saved $numvals sets of quantities."); + + + + + + + + + +=pod + Tried to set up the program to find the boundaries on its own. + Should return to complete the program this way; just a syntax + problem. + +#while (<$outputfile>) {say $_;} +#while (<$outputfile> =~ /^[^#]+(.*)$/) {} +#if (eof($outputfile)) { +# say encode($charset,"Could not scrape values of energy bin boundaries."); +# exit 9; +#} +=cut + + + + + + +#$thing = <$outputfile>; +#say encode($charset,"$thing"); + + + + + + + +# switch ($val) { +# case 1 { print encode($charset,"number 1" )} +# case "a" { print encode($charset,"string a" )} +# case [1..10,42] { print encode($charset,"number in list" )} +# case (@array) { print encode($charset,"number in list" )} +# case /\w+/ { print encode($charset,"pattern" )} +# case qr/\w+/ { print encode($charset,"pattern" )} +# case (%hash) { print encode($charset,"entry in hash" )} +# case (\%hash) { print encode($charset,"entry in hash" )} +# case (\&sub) { print encode($charset,"arg to subroutine" )} +# else { print encode($charset,"previous case not true" )} +# } \ No newline at end of file diff --git a/scripts/plot_MC_against_CM.sh b/scripts/plot_MC_against_CM.sh new file mode 100755 index 0000000..60d85a2 --- /dev/null +++ b/scripts/plot_MC_against_CM.sh @@ -0,0 +1,83 @@ +for table in analyses/tables/timelag*MC}.tab +do + #ref_band=$(basename $table|sed 's|\([^≺]*\)_≺_[^≺_]*_[^_]*_[^_]*\.tab|\1|') + #echo_band=$(basename $table|sed 's|[^≺]*_≺_\([^≺_]*\)_[^_]*_[^_]*\.tab|\1|') + CMtable=$(echo $table|sed 's|∊MC|∊CM|') + + ref_band=$(basename $table|sed 's|timelag_\([^≺]*\)[_ ]≺[_ ][^≺_ ]*[_ ]{[^_ ]*}.tab|\1|') + echo_band=$(basename $table|sed 's|timelag_[^≺]*[_ ]≺[_ ]\([^≺_ ]*\)[_ ]{[^_ ]*}.tab|\1|') + if [[ $ref_band == $echo_band ]]; then continue; fi + err_str=$(basename $table|sed 's|timelag_[^≺]*[_ ]≺[_ ][^≺_ ]*[_ ]{[^_ ]*\(σ∊[CLM][MFC]\)}.tab|\1|') + + echo Plotting timelag error fit comparison for $echo_band. + + plotfile=analyses/plots/timelag_${echo_band}_error_compare.png + + echo_band_noUTF=$(echo $echo_band| + sed 's|𝛌|λ|g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=|=|g'| + sed 's|Å|A|g') + + ref_band_noUTF=$(echo $ref_band| + sed 's|𝛌|λ|g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=|=|g'| + sed 's|Å|A|g') + + cat scripts/templates/timelag_compare.gp| + sed "s|%TITLE|Error Fit Comparison for Time Lag of $echo_band|"| + sed "s|%SUBTITLE|referred to ${ref_band}, as reported by Fausnaugh et. al, STORM III, 2016|"| + sed "s|%FILE1|$table|"| + sed "s|%LABEL1|${echo_band} Delay with Monte Carlo Fit|"| + sed "s|%FILE2|$CMtable|"| + sed "s|%LABEL2|${echo_band} Delay with Covariance Matrix Fit|"| + sed "s|%YMIN|$ymin|"|sed "s|%YMAX|$ymax|"| + sed "s|%OUTPUTFILE|$plotfile|" > tmp.gp + gnuplot tmp.gp + +done + + +for table in analyses/tables/PSD*MC}.tab +do + #ref_band=$(basename $table|sed 's|\([^≺]*\)_≺_[^≺_]*_[^_]*_[^_]*\.tab|\1|') + #echo_band=$(basename $table|sed 's|[^≺]*_≺_\([^≺_]*\)_[^_]*_[^_]*\.tab|\1|') + CMtable=$(echo $table|sed 's|∊MC|∊CM|') + + echo_band=$(basename $table|sed 's|PSD[_ ]\([0-9]\{4\}\)Å[_ ]{[^_ ]*}.tab|\1Å|') + if [[ $ref_band == $echo_band ]]; then continue; fi + err_str=$(basename $table|sed 's|PSD[ _]\([0-9]\{4\}\)Å[_ ]{[^_ ]*\(σ∊[CLM][MFC]\)}.tab|\1|') + + echo Plotting PSD error fit comparison for $echo_band. + + plotfile=analyses/plots/PSD_${echo_band}_error_compare.png + + echo_band_noUTF=$(echo $echo_band| + sed 's|𝛌|λ|g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=|=|g'| + sed 's|Å|A|g') + + ref_band_noUTF=$(echo $ref_band| + sed 's|𝛌|λ|g'| + #sed 's|(|_|g'| + #sed 's|)|_|g'| + sed 's|=|=|g'| + sed 's|Å|A|g') + + cat scripts/templates/psd_freq.gp| + sed "s|%TITLE|Error Fit Comparison for PSD of $echo_band|"| + sed "s|%SUBTITLE|as reported by Fausnaugh et. al, STORM III, 2016|"| + sed "s|%FILE1|$table|"| + sed "s|%LABEL1|${echo_band} PSD with Monte Carlo Fit|"| + sed "s|%FILE2|$CMtable|"| + sed "s|%LABEL2|${echo_band} PSD with Covariance Matrix Fit|"| + sed "s|%YMIN|$ymin|"|sed "s|%YMAX|$ymax|"| + sed "s|%OUTPUTFILE|$plotfile|" > tmp.gp + gnuplot tmp.gp + +done \ No newline at end of file diff --git a/scripts/plot_psdlag.sh b/scripts/plot_psdlag.sh new file mode 100755 index 0000000..56ef823 --- /dev/null +++ b/scripts/plot_psdlag.sh @@ -0,0 +1,77 @@ +#!/usr/bin/env bash + +ywindow_of () { + max=0 + min=-5 + while read line +# for line in $(cat $1) + do + read xval yval xerr yerr <<< $line + echo $xval $yval + if (bc <<< "$yval > $max"); then max=$yval; fi + if (bc <<< "$yval < $min"); then min=$yval; fi +# done + done < $1 + echo $(bc <<< "$min - 0.5") $(bc <<< "$max + 0.5") +} + +mkdir -p analyses/tables +mkdir -p analyses/plots + + +# Restore the proper naming conventions for any files stripped +# of their unicode characters. +scripts/fix_thor_names.sh + +# Create tables and plot the power spectra distributions and time lags. +for analysis in analyses/* +do + # Grab and determine labels of analyses, skip if over the same band. + ref_band=$(basename $analysis|sed 's|\([^≺]*\)[_ ]≺[_ ][^≺_ ]*[_ ]{[^_ ]*}|\1|') + echo_band=$(basename $analysis|sed 's|[^≺]*[_ ]≺[_ ]\([^≺_ ]*\)[_ ]{[^_ ]*}|\1|') + if [[ $ref_band == $echo_band ]]; then continue; fi + err_str=$(basename $analysis|sed 's|[^≺]*[_ ]≺[_ ][^≺_ ]*[_ ]{[^_ ]*;\(σ∊[CLM][MFC]\)}|\1|') + + # Prepare files + echo "Plotting PSD and time lags for $echo_band, referred to ${ref_band}." + echoPSD_tabfile=analyses/tables/PSD_${echo_band}_\{${err_str}\}.tab + refPSD_tabfile=analyses/tables/PSD_${ref_band}_\{${err_str}\}.tab + timelag_tabfile=analyses/tables/timelag_${ref_band}_≺_${echo_band}_\{${err_str}\}.tab + PSD_plotfile=analyses/plots/PSD_${ref_band}_≺_${echo_band}_\{${err_str}\}.png + timelag_plotfile=analyses/plots/timelag_${ref_band}_≺_${echo_band}_\{${err_str}\}.png + + # Output curves to temporary files using perl script, move tables to + # permanent location. This just assumes there are no conflicts. + scripts/create_tables.pl $analysis > /dev/null + mv tmp.echoPSD $echoPSD_tabfile + mv tmp.refPSD $refPSD_tabfile + mv tmp.timelag $timelag_tabfile + + + # Plot PSD and save using gnuplot +# read ymin ymax <<< $(ywindow_of $timelag_tabfile) +# echo $ymin $ymax + cat scripts/templates/psd_freq.gp| + sed "s|%TITLE|Power Spectrum for Lightcurves $echo_band and $ref_band|"| + sed "s|%SUBTITLE|as reported by Fausnaugh et. al, STORM III, 2016|"| + sed "s|%FILE1|$refPSD_tabfile|"| + sed "s|%LABEL1|${ref_band} PSD|"| + sed "s|%FILE2|$echoPSD_tabfile|"| + sed "s|%LABEL2|${echo_band} PSD|"| + sed "s|%YMIN|$ymin|"|sed "s|%YMAX|$ymax|"| + sed "s|%OUTPUTFILE|$PSD_plotfile|" > tmp.gp + gnuplot tmp.gp + + # Plot time lags and save using gnuplot +# read ymin ymax <<< $(ywindow_of $timelag_tabfile) + cat scripts/templates/timelag_freq.gp| + sed "s|%TITLE|Time Lag for Lightcurve $echo_band relative to $ref_band|"| + sed "s|%SUBTITLE|as reported by Fausnaugh et. al, STORM III, 2016|"| + sed "s|%FILE1|$timelag_tabfile|"| + sed "s|%LABEL1|${echo_band} Lag|"| + sed "s|%YMIN|$ymin|"|sed "s|%YMAX|$ymax|"| + sed "s|%OUTPUTFILE|$timelag_plotfile|" > tmp.gp + gnuplot tmp.gp +done + +rm tmp.* diff --git a/scripts/prep_lcfiles.sh b/scripts/prep_lcfiles.sh new file mode 100755 index 0000000..2aa4d8c --- /dev/null +++ b/scripts/prep_lcfiles.sh @@ -0,0 +1,12 @@ +#!/usr/bin/env bash + +timestep="0.1" +newdir="data/STORM_III/lightcurves/Δt=${timestep}" +mkdir -p $newdir + +for file in data/STORM_III/raw/separated/* +do + newfile=$(basename $file|sed 's@\(.*\)\.tab@\1.lc@') + scripts/heasoft_to_psdlag.pl < $file > ${newdir}/${newfile} + echo Processed $file +done \ No newline at end of file diff --git a/scripts/spec.py b/scripts/spec.py new file mode 100644 index 0000000..2ed8c78 --- /dev/null +++ b/scripts/spec.py @@ -0,0 +1,5688 @@ +""" +Suite to reduce spectroscopic data. + +subfunctions: + calibrate + setheaders -- exptime, gain, readnoise, etc. + makeflat -- make median flat and noisy pixel map + makedark -- make median dark, and estimate noise in each pixel. + clean -- clean and replace bad pixels + extract + trace -- trace spectral orders + makeprofile -- compute mean spectral PSF (a spline) for an order + fitprofile -- fit given spline-PSF to a spectral cross-section + +Utilities: + pickloc + fitPSF +""" +# 2010-07-02 10:56 IJC: Began the great endeavor. + + + +try: + from astropy.io import fits as pyfits +except: + import pyfits + +import matplotlib.pyplot as plt +import numpy as np +from scipy import optimize, interpolate +import pdb + + +[docs] +class baseObject: + """Empty object container. + """ + def __init__(self): + return + + +######## +# Utilities to add in a separate cohesive package at a later date: + +from analysis import polyfitr, stdr, binarray, gaussian, egaussian +import analysis as an +from nsdata import bfixpix + +######## +# Parameters to put in a GUI: +gain = 5 # e-/ADU +readnoise = 25 # e- + + +######### + +[docs] +def message(text): + """Display a message; for now, with text.""" + from sys import stdout + + print text + stdout.flush() + +[docs] +def pickloc(ax=None, zoom=10): + """ + :INPUTS: + ax : (axes instance) -- axes in which to pick a location + + zoom : int -- zoom radius for target confirmation + : 2-tuple -- (x,y) radii for zoom confirmation. + """ + # 2011-04-29 19:26 IJC: + # 2011-09-03 20:59 IJMC: Zoom can now be a tuple; x,y not cast as int. + + pickedloc = False + if ax is None: + ax = plt.gca() + + axlimits = ax.axis() + + if hasattr(zoom, '__iter__') and len(zoom)>1: + xzoom, yzoom = zoom + else: + xzoom = zoom + yzoom = zoom + + while not pickedloc: + ax.set_title("click to select location") + ax.axis(axlimits) + + x = None + while x is None: + selectevent = plt.ginput(n=1,show_clicks=False) + if len(selectevent)>0: # Prevent user from cancelling out. + x,y = selectevent[0] + + #x = x.astype(int) + #y = y.astype(int) + + + if zoom is not None: + ax.axis([x-xzoom,x+xzoom,y-yzoom,y+yzoom]) + + ax.set_title("you selected xy=(%i,%i)\nclick again to confirm, or press Enter/Return to try again" %(x,y) ) + plt.draw() + + confirmevent = plt.ginput(n=1,show_clicks=False) + if len(confirmevent)>0: + pickedloc = True + loc = confirmevent[0] + + return loc + +[docs] +def fitTophat(vec, err=None, verbose=False, guess=None): + """Fit a 1D tophat function to an input data vector. + + Return the fit, and uncertainty estimates on that fit. + + SEE ALSO: :func:`analysis.gaussian`""" + xtemp = np.arange(1.0*len(vec)) + + if guess is None: # Make some educated guesses as to the parameters: + pedestal = 0.5 * (0.8*np.median(vec) + 0.2*(vec[0]+vec[1])) + area = (vec-pedestal).sum() + centroid = (vec*xtemp).sum()/vec.sum() + if centroid<0: + centroid = 1. + elif centroid>len(vec): + centroid = len(vec)-2. + + sigma = area/vec[int(centroid)]/np.sqrt(2*np.pi) + if sigma<=0: + sigma = 0.01 + + guess = [area,sigma,centroid,pedestal] + + if verbose: + print 'Gaussian guess parameters>>', guess + if err is None: + fit, fitcov = optimize.leastsq(egaussian, guess, args=(xtemp, vec), full_output=True)[0:2] + pc.resfunc + + + fit, fitcov = optimize.leastsq(egaussian, guess, args=(xtemp, vec), full_output=True)[0:2] + else: + fit, fitcov = optimize.leastsq(egaussian, guess, args=(xtemp, vec, err), full_output=True)[0:2] + + if fitcov is None: # The fitting was really bad! + fiterr = np.abs(fit) + else: + fiterr = np.sqrt(np.diag(fitcov)) + + if verbose: + print 'Best-fit parameters>>', fit + f = plt.figure() + ax = plt.axes() + plt.plot(xtemp, vec, 'o', \ + xtemp, gaussian(fit, xtemp), '-', \ + xtemp, gaussian(guess, xtemp), '--') + + return fit, fiterr + +[docs] +def fitGaussian(vec, err=None, verbose=False, guess=None): + """Fit a Gaussian function to an input data vector. + + Return the fit, and uncertainty estimates on that fit. + + SEE ALSO: :func:`analysis.gaussian`""" + # 2012-12-20 13:28 IJMC: Make a more robust guess for the centroid. + xtemp = np.arange(1.0*len(vec)) + + if guess is None: # Make some educated guesses as to the parameters: + pedestal = (0.8*np.median(vec) + 0.2*(vec[0]+vec[1])) + area = (vec-pedestal).sum() + centroid = ((vec-pedestal)**2*xtemp).sum()/((vec-pedestal)**2).sum() + if centroid<0: + centroid = 1. + elif centroid>len(vec): + centroid = len(vec)-2. + #pdb.set_trace() + sigma = area/vec[int(centroid)]/np.sqrt(2*np.pi) + if sigma<=0: + sigma = .01 + + guess = [area,sigma,centroid,pedestal] + + if err is None: + err = np.ones(vec.shape, dtype=float) + + badvals = True - (np.isfinite(xtemp) * np.isfinite(err) * np.isfinite(vec)) + vec[badvals] = np.median(vec[True - badvals]) + err[badvals] = vec[True - badvals].max() * 1e9 + + if verbose: + print 'Gaussian guess parameters>>', guess + + if not np.isfinite(xtemp).all(): + pdb.set_trace() + if not np.isfinite(vec).all(): + pdb.set_trace() + if not np.isfinite(err).all(): + pdb.set_trace() + + try: + fit, fitcov = optimize.leastsq(egaussian, guess, args=(xtemp, vec, err), full_output=True)[0:2] + except: + pdb.set_trace() + + if fitcov is None: # The fitting was really bad! + fiterr = np.abs(fit) + else: + fiterr = np.sqrt(np.diag(fitcov)) + + #pdb.set_trace() + if verbose: + print 'Best-fit parameters>>', fit + f = plt.figure() + ax = plt.axes() + plt.plot(xtemp, vec, 'o', \ + xtemp, gaussian(fit, xtemp), '-', \ + xtemp, gaussian(guess, xtemp), '--') + + return fit, fiterr + + + +[docs] +def fitGaussiann(vec, err=None, verbose=False, guess=None, holdfixed=None): + """Fit a Gaussian function to an input data vector. + + Return the fit, and uncertainty estimates on that fit. + + SEE ALSO: :func:`analysis.gaussian`""" + from phasecurves import errfunc + from analysis import fmin + + xtemp = np.arange(1.0*len(vec)) + + if guess is None: # Make some educated guesses as to the parameters: + holdfixed = None + + pedestal = 0.5 * (0.8*np.median(vec) + 0.2*(vec[0]+vec[1])) + area = (vec-pedestal).sum() + centroid = (vec*xtemp).sum()/vec.sum() + if centroid<0: + centroid = 1. + elif centroid>len(vec): + centroid = len(vec)-2. + + sigma = area/vec[int(centroid)]/np.sqrt(2*np.pi) + if sigma<=0: + sigma = 0.01 + + guess = [area,sigma,centroid,pedestal] + + if err is None: + err = np.ones(vec.shape, dtype=float) + + badvals = True - (np.isfinite(xtemp) * np.isfinite(err) * np.isfinite(vec)) + vec[badvals] = np.median(vec[True - badvals]) + err[badvals] = vec[True - badvals].max() * 1e9 + + if verbose: + print 'Gaussian guess parameters>>', guess + + if not np.isfinite(xtemp).all(): + pdb.set_trace() + if not np.isfinite(vec).all(): + pdb.set_trace() + if not np.isfinite(err).all(): + pdb.set_trace() + + try: + #fit, fitcov = optimize.leastsq(egaussian, guess, args=(xtemp, vec, err), full_output=True)[0:2] + fitargs = (gaussian, xtemp, vec, 1./err**2) + fit = fmin(errfunc, guess, args=fitargs, full_output=True, disp=False, holdfixed=holdfixed)[0] + fitcov = None + except: + pdb.set_trace() + + if fitcov is None: # The fitting was really bad! + fiterr = np.abs(fit) + else: + fiterr = np.sqrt(np.diag(fitcov)) + + if verbose: + print 'Best-fit parameters>>', fit + f = plt.figure() + ax = plt.axes() + plt.plot(xtemp, vec, 'o', \ + xtemp, gaussian(fit, xtemp), '-', \ + xtemp, gaussian(guess, xtemp), '--') + + return fit, fiterr + +[docs] +def fit2Gaussian(vec, err=None, verbose=False, guess=None, holdfixed=None): + """Fit two Gaussians simultaneously to an input data vector. + + :INPUTS: + vec : sequence + 1D array or list of values to fit to + + err : sequence + uncertainties on vec + + guess : sequence + guess parameters: [area1, sigma1, cen1, area2, sig2, cen2, constant]. + Note that parameters are in pixel units. + + holdfixed : sequence + parameters to hold fixed in analysis, _IF_ guess is passed in. + + + SEE ALSO: :func:`analysis.gaussian`, :func:`fitGaussian`""" + + # 2012-03-14 14:33 IJMC: Created + + from tools import sumfunc + from phasecurves import errfunc + from analysis import fmin # Don't use SciPy, because I want keywords! + + + xtemp = np.arange(1.0*len(vec)) + if err is None: + err = np.ones(xtemp.shape) + else: + err = np.array(err, copy=False) + + if guess is None: # Make some semi-educated guesses as to the parameters: + holdfixed = None + + pedestal = 0.5 * (0.8*np.median(vec) + 0.2*(vec[0]+vec[1])) + area = (vec-pedestal).sum() + centroid = (vec*xtemp).sum()/vec.sum() + if centroid<0: + centroid = 1. + elif centroid>len(vec): + centroid = len(vec)-2. + + sigma = area/vec[int(centroid)]/np.sqrt(2*np.pi) + if sigma<=0: + sigma = 0.01 + + guess1 = [area/2.,sigma/1.4,centroid+xtemp.size/5.] + guess2 = [area/2.,sigma/1.4,centroid-xtemp.size/5.] + guess = guess1 + guess2 + [pedestal] + + + ## Testing: + #mod = sumfunc(guess, gaussian, gaussian, 3, 4, args1=(xtemp,), args2=(xtemp,)) + #fitargs = (sumfunc, gaussian, gaussian, 3, 4, (xtemp,), (xtemp,), None, vec, 1./err**2) + #fitkw = dict(useindepvar=False, testfinite=False) + #chisq = errfunc(guess, *fitargs, **fitkw) + #thisfit = fmin(errfunc, guess, args=fitargs, kw=fitkw, full_output=True) + #mod2 = sumfunc(thisfit[0], gaussian, gaussian, 3, 4, args1=(xtemp,), args2=(xtemp,)) + + if verbose: + print '2-Gaussian guess parameters>>', guess + + fitargs = (sumfunc, gaussian, gaussian, 3, 4, (xtemp,), (xtemp,), vec, 1./err**2) + fitkw = dict(useindepvar=False, testfinite=False) + fit = fmin(errfunc, guess, args=fitargs, kw=fitkw, full_output=True, disp=False, holdfixed=holdfixed) + + if verbose: + model = sumfunc(fit[0], gaussian, gaussian, 3, 4, args1=(xtemp,), args2=(xtemp,)) + model1 = gaussian(fit[0][0:3], xtemp) + model2 = gaussian(fit[0][3:6], xtemp) + print 'Best-fit parameters>>', fit[0] + f = plt.figure() + ax = plt.axes() + plt.plot(xtemp, vec, 'o', \ + xtemp, model, '--') + plt.plot(xtemp, model1+fit[0][6], ':') + plt.plot(xtemp, model2+fit[0][6], ':') + + return fit[0] + +[docs] +def fitPSF(ec, guessLoc, fitwidth=20, verbose=False, sigma=5, medwidth=6, err_ec=None): + """ + Helper function to fit 1D PSF near a given region. Assumes + spectrum runs horizontally across the frame! + + ec : 2D numpy array + echellogram array, with horizontal dispersion direction + guessLoc : 2-tuple + A slight misnomer for this (x,y) tuple: y is a guess and will + be fit, but x is the coordinate at which the fitting takes + place. + fitwidth : int + width of cross-dispersion direction to use in fitting + medwidth : int + number of columns to average over when fitting a profile + verbose : bool + verbosity/debugging printout flag + + sigma : scalar + sigma scale for clipping bad values + """ + # 2010-08-24 22:00 IJC: Added sigma option + # 2010-11-29 20:54 IJC: Added medwidth option + # 2011-11-26 23:17 IJMC: Fixed bug in computing "badval" + # 2012-04-27 05:15 IJMC: Now allow error estimates to be passed in. + # 2012-04-28 08:48 IJMC: Added better guessing for initial case. + + if verbose<0: + verbose = False + + ny, nx = ec.shape + + x = guessLoc[0].astype(int) + y = guessLoc[1].astype(int) + + # Fit the PSF profile at the initial, selected location: + ymin = max(y-fitwidth/2, 0) + ymax = min(y+fitwidth/2, ny) + xmin = max(x-medwidth/2, 0) + xmax = min(x+medwidth/2, nx) + if verbose: + message("Sampling: ec[%i:%i,%i:%i]"%(ymin,ymax,xmin,xmax)) + + firstSeg = np.median(ec[ymin:ymax,xmin:xmax],1) + if verbose: + print firstSeg + + if err_ec is None: + ey = stdr(firstSeg, sigma) + badval = abs((firstSeg-np.median(firstSeg))/ey) > sigma + err = np.ones(firstSeg.shape, float) + err[badval] = 1e9 + else: + err = np.sqrt((err_ec[ymin:ymax,xmin:xmax]**2).mean(1)) + err[True - np.isfinite(err)] = err[np.isfinite(err)].max() * 1e9 + + guessAmp = (an.wmean(firstSeg, 1./err**2) - np.median(firstSeg)) * fitwidth + if not np.isfinite(guessAmp): + pdb.set_trace() + + #fit, efit = fitGaussian(firstSeg, verbose=verbose, err=err, guess=[guessAmp[0], 5, fitwidth/2., np.median(firstSeg)]) + fit, efit = fitGaussian(firstSeg, verbose=verbose, err=err, guess=None) + newY = ymin+fit[2] + err_newY = efit[2] + if verbose: + message("Initial position: (%3.2f,%3.2f)"%(x,newY)) + + return x, newY, err_newY + + +[docs] +def traceorders(filename, pord=5, dispaxis=0, nord=1, verbose=False, ordlocs=None, stepsize=20, fitwidth=20, plotalot=False, medwidth=6, xylims=None, uncertainties=None, g=gain, rn=readnoise, badpixelmask=None, retsnr=False, retfits=False): + """ + Trace spectral orders for a specified filename. + + filename : str OR 2D array + full path and filename to a 2D echelleogram FITS file, _OR_ + a 2D numpy array representing such a file. + + OPTIONAL INPUTS: + pord : int + polynomial order of spectral order fit + + dispaxis : int + set dispersion axis: 0 = horizontal and = vertical + + nord : int + number of spectral orders to trace. + + ordlocs : (nord x 2) numpy array + Location to "auto-click" and + + verbose: int + 0,1,2; whether (and how much) to print various verbose debugging text + + stepsize : int + number of pixels to step along the spectrum while tracing + + fitwidth : int + number of pixels to use when fitting a spectrum's cross-section + + medwidth : int + number of columns to average when fitting profiles to echelleograms + + plotalot : bool + Show pretty plot? If running in batch mode (using ordlocs) + default is False; if running in interactive mode (ordlocs is + None) default is True. + + xylims : 4-sequence + Extract the given subset of the data array: [xmin, xmax, ymin, ymax] + + uncertainties : str OR 2D array + full path and filename to a 2D uncertainties FITS file, _OR_ + a 2D numpy array representing such a file. + + If this is set, 'g' and 'rn' below are ignored. This is + useful if, e.g., you are analyzing data which have already + been sky-subtracted, nodded on slit, or otherwise altered. + But note that this must be the same size as the input data! + + g : scalar > 0 + Detector gain, electrons per ADU (for setting uncertainties) + + rn : scalar > 0 + Detector read noise, electrons (for setting uncertainties) + + retsnr : bool + If true, also return the computed S/N of the position fit at + each stepped location. + + retfits : bool + If true, also return the X,Y positions at each stepped location. + + + :RETURNS: + (nord, pord) shaped numpy array representing the polynomial + coefficients for each order (suitable for use with np.polyval) + + :NOTES: + + If tracing fails, a common reason can be that fitwidth is too + small. Try increasing it! + """ + # 2010-08-31 17:00 IJC: If best-fit PSF location goes outside of + # the 'fitwidth' region, nan values are returned that don't + # cause the routine to bomb out quite so often. + # 2010-09-08 13:54 IJC: Updated so that going outside the + # 'fitwidth' region is determined only in the local + # neighborhood, not in relation to the (possibly distant) + # initial guess position. + # 2010-11-29 20:56 IJC: Added medwidth option + # 2010-12-17 09:32 IJC: Changed color scaling options; added xylims option. + + # 2012-04-27 04:43 IJMC: Now perform _weighted_ fits to the measured traces! + + global gain + global readnoise + + if verbose < 0: + verbose = 0 + + if not g==gain: + message("Setting gain to " + str(g)) + gain = g + + if not rn==readnoise: + message("Setting readnoise to " + str(rn)) + readnoise = rn + + if ordlocs is not None: + ordlocs = np.array(ordlocs, copy=False) + if ordlocs.ndim==1: + ordlocs = ordlocs.reshape(1, ordlocs.size) + autopick = True + else: + autopick = False + + + plotalot = (not autopick) or plotalot + if isinstance(filename, np.ndarray): + ec = filename.copy() + else: + try: + ec = pyfits.getdata(filename) + except: + message("Could not open filename %s" % filename) + return -1 + + + if isinstance(uncertainties, np.ndarray): + err_ec = uncertainties.copy() + else: + try: + err_ec = pyfits.getdata(uncertainties) + except: + err_ec = np.sqrt(ec * gain + readnoise**2) + + if dispaxis<>0: + ec = ec.transpose() + err_ec = err_ec.transpose() + if verbose: message("Took transpose of echelleogram to rotate dispersion axis") + else: + pass + + if xylims is not None: + try: + ec = ec[xylims[0]:xylims[1], xylims[2]:xylims[3]] + err_ec = err_ec[xylims[0]:xylims[1], xylims[2]:xylims[3]] + except: + message("Could not extract subset: ", xylims) + return -1 + + if badpixelmask is None: + badpixelmask = np.zeros(ec.shape, dtype=bool) + else: + if not hasattr(badpixelmask, 'shape'): + badpixelmask = pyfits.getdata(badpixelmask) + if xylims is not None: + badpixelmask = badpixelmask[xylims[0]:xylims[1], xylims[2]:xylims[3]] + + + err_ec[badpixelmask.nonzero()] = err_ec[np.isfinite(err_ec)].max() * 1e9 + + try: + ny, nx = ec.shape + except: + message("Echellogram file %s does not appear to be 2D: exiting." % filename) + return -1 + + if plotalot: + f = plt.figure() + ax = plt.axes() + plt.imshow(ec, interpolation='nearest',aspect='auto') + sortedvals = np.sort(ec.ravel()) + plt.clim([sortedvals[nx*ny*.01], sortedvals[nx*ny*.99]]) + #plt.imshow(np.log10(ec-ec.min()+np.median(ec)),interpolation='nearest',aspect='auto') + ax.axis([0, nx, 0, ny]) + + orderCoefs = np.zeros((nord, pord+1), float) + position_SNRs = [] + xyfits = [] + if not autopick: + + ordlocs = np.zeros((nord, 2),float) + for ordernumber in range(nord): + message('Selecting %i orders; please click on order %i now.' % (nord, 1+ordernumber)) + plt.figure(f.number) + guessLoc = pickloc(ax, zoom=fitwidth) + ordlocs[ordernumber,:] = guessLoc + ax.plot([guessLoc[0]],[guessLoc[1]], '*k') + ax.axis([0, nx, 0, ny]) + plt.figure(f.number) + plt.draw() + if verbose: + message("you picked the location: ") + message(guessLoc) + + for ordernumber in range(nord): + guessLoc = ordlocs[ordernumber,:] + xInit, yInit, err_yInit = fitPSF(ec, guessLoc, fitwidth=fitwidth,verbose=verbose, medwidth=medwidth, err_ec=err_ec) + if plotalot: + ax.plot([xInit],[yInit], '*k') + ax.axis([0, nx, 0, ny]) + plt.figure(f.number) + plt.draw() + + if verbose: + message("Initial (fit) position: (%3.2f,%3.2f)"%(xInit,yInit)) + + # Prepare to fit PSFs at multiple wavelengths. + + # Determine the other positions at which to fit: + xAbove = np.arange(1, np.ceil(1.0*(nx-xInit)/stepsize))*stepsize + xInit + xBelow = np.arange(-1,-np.ceil((1.+xInit)/stepsize),-1)*stepsize + xInit + nAbove = len(xAbove) + nBelow = len(xBelow) + nToMeasure = nAbove + nBelow + 1 + iInit = nBelow + + if verbose: + message("Going to measure PSF at the following %i locations:"%nToMeasure ) + message(xAbove) + message(xBelow) + + # Measure all positions "above" the initial selection: + yAbove = np.zeros(nAbove,float) + err_yAbove = np.zeros(nAbove,float) + lastY = yInit + for i_meas in range(nAbove): + guessLoc = xAbove[i_meas], lastY + + thisx, thisy, err_thisy = fitPSF(ec, guessLoc, fitwidth=fitwidth, verbose=verbose-1, medwidth=medwidth, err_ec=err_ec) + if abs(thisy - yInit)>fitwidth/2: + thisy = yInit + err_thisy = yInit + lastY = yInit + else: + lastY = thisy.astype(int) + yAbove[i_meas] = thisy + err_yAbove[i_meas] = err_thisy + if verbose: + print thisx, thisy + if plotalot and not np.isnan(thisy): + #ax.plot([thisx], [thisy], 'xk') + ax.errorbar([thisx], [thisy], [err_thisy], fmt='xk') + + # Measure all positions "below" the initial selection: + yBelow = np.zeros(nBelow,float) + err_yBelow = np.zeros(nBelow,float) + lastY = yInit + for i_meas in range(nBelow): + guessLoc = xBelow[i_meas], lastY + thisx, thisy, err_thisy = fitPSF(ec, guessLoc, fitwidth=fitwidth, verbose=verbose-1, medwidth=medwidth, err_ec=err_ec) + if abs(thisy-lastY)>fitwidth/2: + thisy = np.nan + else: + lastY = thisy.astype(int) + yBelow[i_meas] = thisy + err_yBelow[i_meas] = err_thisy + if verbose: + print thisx, thisy + if plotalot and not np.isnan(thisy): + ax.errorbar([thisx], [thisy], [err_thisy], fmt='xk') + + # Stick all the fit positions together: + yPositions = np.concatenate((yBelow[::-1], [yInit], yAbove)) + err_yPositions = np.concatenate((err_yBelow[::-1], [err_yInit], err_yAbove)) + xPositions = np.concatenate((xBelow[::-1], [xInit], xAbove)) + + if verbose: + message("Measured the following y-positions:") + message(yPositions) + + theseTraceCoefs = polyfitr(xPositions, yPositions, pord, 3, \ + w=1./err_yPositions**2, verbose=verbose) + orderCoefs[ordernumber,:] = theseTraceCoefs + # Plot the traces + if plotalot: + ax.plot(np.arange(nx), np.polyval(theseTraceCoefs,np.arange(nx)), '-k') + ax.plot(np.arange(nx), np.polyval(theseTraceCoefs,np.arange(nx))+fitwidth/2, '--k') + ax.plot(np.arange(nx), np.polyval(theseTraceCoefs,np.arange(nx))-fitwidth/2, '--k') + ax.axis([0, nx, 0, ny]) + plt.figure(f.number) + plt.draw() + + if retsnr: + position_SNRs.append(yPositions / err_yPositions) + if retfits: + xyfits.append((xPositions, yPositions)) + + # Prepare for exit and return: + ret = (orderCoefs,) + if retsnr: + ret = ret + (position_SNRs,) + if retfits: + ret = ret + (xyfits,) + if len(ret)==1: + ret = ret[0] + return ret + + +[docs] +def makeprofile(filename, trace, **kw): #dispaxis=0, fitwidth=20, verbose=False, oversamp=4, nsigma=20, retall=False, neg=False, xylims=None, rn=readnoise, g=gain, extract_radius=10, bkg_radii=[15, 20], bkg_order=0, badpixelmask=None, interp=False): + """ + Make a spatial profile from a spectrum, given its traced location. + We interpolate the PSF at each pixel to a common reference frame, + and then average them. + + filename : str _OR_ 2D numy array + 2D echellogram + + trace : 1D numpy array + set of polynomial coeficients of order (P-1) + + dispaxis : int + set dispersion axis: 0 = horizontal and = vertical + + fitwidth : int + Total width of extracted spectral sub-block. WIll always be + increased to at least twice the largest value of bkg_radii. + + neg : bool scalar + set True for a negative spectral trace + + nsigma : scalar + Sigma-clipping cut for bad pixels (beyond read+photon + noise). Set it rather high, and feel free to experiment with + this parameter! + + xylims : 4-sequence + Extract the given subset of the data array: [xmin, xmax, ymin, ymax] + + retall : bool + Set True to output several additional parameters (see below) + + rn : scalar + Read noise (electrons) + + g : scalar + Detector gain (electrons per data unit) + + bkg_radii : 2-sequence + Inner and outer radius for background computation and removal; + measured in pixels from the center of the profile. + + bkg_order : int > 0 + Polynomial order of background trend computed in master spectral profile + + interp : bool + Whether to (bi-linearly) interpolate each slice to produce a + precisely-centered spectral profile (according to the input + 'trace'). If False, slices will only be aligned to the + nearest pixel. + + + OUTPUT: + if retall: + a spline-function that interpolates pixel locations onto the mean profile + + a stack of data slices + + estimates of the uncertainties + + good pixel flag + + list of splines + + else: + a spline-function that interpolates pixel locations onto the mean profile + """ + from scipy import signal + #import numpy as np + # 2010-12-17 10:22 IJC: Added xylims option + # 2012-03-15 06:34 IJMC: Updated documentation. + # 2012-04-24 16:43 IJMC: Now properly update gain and readnoise, + # as neccessary. Much better flagging of + # bad pixels. Fixed interpolation on RHS. + # 2012-08-19 17:53 IJMC: Added dispaxis option. + # 2012-09-05 10:17 IJMC: Made keyword options into a dict. + + global gain + global readnoise + + + # Parse inputs: + names = ['dispaxis', 'fitwidth', 'verbose', 'oversamp', 'nsigma', 'retall', 'neg', 'xylims', 'rn', 'g', 'extract_radius', 'bkg_radii', 'bkg_order', 'badpixelmask', 'interp'] + defaults = [0, 20, False, 4, 20, False, False, None, readnoise, gain, 10, [15, 20], 0, None, False] + for n,d in zip(names, defaults): + #exec('%s = [d, kw["%s"]][kw.has_key("%s")]' % (n, n, n)) + exec('%s = kw["%s"] if kw.has_key("%s") else d' % (n, n, n)) + + if fitwidth < (bkg_radii[1]*2): + fitwidth = bkg_radii[1]*2 + + + if not g==gain: + message("Setting gain to " + str(g)) + gain = g + + if not rn==readnoise: + message("Setting readnoise to " + str(rn)) + readnoise = rn + + + if verbose: + f = plt.figure() + ax = plt.axes() + + # Check whether we have a filename, or an array: + if isinstance(filename, np.ndarray): + ec = filename.copy() + else: + try: + ec = pyfits.getdata(filename) + except: + message("Could not open filename %s" % filename) + return -1 + + if neg: + ec *= -1 + + if xylims is not None: + try: + ec = ec[xylims[0]:xylims[1], xylims[2]:xylims[3]] + if verbose: + message("Extracted subset: " + str(xylims)) + except: + message("Could not extract subset: " + str(xylims)) + return -1 + + if badpixelmask is None: + badpixelmask = np.zeros(ec.shape, dtype=bool) + else: + if not hasattr(badpixelmask, 'shape'): + badpixelmask = pyfits.getdata(badpixelmask) + if xylims is not None: + badpixelmask = badpixelmask[xylims[0]:xylims[1], xylims[2]:xylims[3]] + + + + + trace = np.array(trace,copy=True) + if len(trace.shape)>1: + if verbose: + message("Multi-order spectrum input...") + #rets = [] + rets = [makeprofile(filename, thistrace, dispaxis=dispaxis, fitwidth=fitwidth,verbose=verbose,oversamp=oversamp,nsigma=nsigma,retall=retall, neg=neg, xylims=xylims, rn=rn, g=g, extract_radius=extract_radius, bkg_radii=bkg_radii, bkg_order=bkg_order,interp=interp, badpixelmask=badpixelmask) for thistrace in trace] + + return rets + + if dispaxis==1: + if verbose: message("Transposing spectra and bad pixel mask...") + ec = ec.transpose() + badpixelmask = badpixelmask.transpose() + + if verbose: + message("Making a spatial profile...") + + ny, nx = ec.shape + pord = len(trace) - 1 + if verbose: + message("Echellogram of size (%i,%i)" % (nx,ny)) + message("Polynomial of order %i (i.e., %i coefficients)" % (pord, pord+1)) + + xPositions = np.arange(nx) + yPositions = np.polyval(trace, xPositions) + yPixels = yPositions.astype(int) + + # Placeholder for a more comprehensive workaround: + if (yPixels.max()+fitwidth/2)>=ny: + message("Spectrum may be too close to the upper boundary; try decreasing fitwidth") + if (yPixels.min()-fitwidth/2)<0: + message("Spectrum may be too close to the lower boundary; try decreasing fitwidth") + + yProfile = np.linspace(-fitwidth/2, fitwidth/2-1,fitwidth*oversamp) + #yProfile2 = np.linspace(-fitwidth/2, fitwidth/2-1,(fitwidth+1)*oversamp) + profileStack = np.zeros((nx,fitwidth),float) + badpixStack = np.zeros((nx,fitwidth),bool) + profileSplineStack = np.zeros((nx,(fitwidth)*oversamp),float) + xProf = np.arange(fitwidth, dtype=float) - fitwidth/2. + xProf2 = np.arange(ny, dtype=float) + + + # Loop through to extract the spectral cross-sections at each pixel: + for i_pix in range(nx): + xi = xPositions[i_pix] + yi = yPixels[i_pix] + + ymin = max(yi-fitwidth/2, 0) + ymax = min(yi+fitwidth/2, ny) + # Ensure that profile will always be "fitwidth" wide: + if (ymax-ymin)=0 + + goodColumns = np.ones(goodPixels.shape[0],bool) + errorStack = np.sqrt(profileStack + readnoise**2) + errorStack[badPixels] = profileStack[goodPixels].max() * 1e9 + + # Loop through and fit weighted splines to each cross-section + for i_pix in range(nx): + xi = xPositions[i_pix] + yi = yPixels[i_pix] + ymin = max(yi-fitwidth/2, 0) + ymax = min(yi+fitwidth/2, ny) + # Ensure that profile will always be "fitwidth" wide: + if (ymax-ymin)1: + print "ii, index.sum()>>",i_pix,index.sum() + print "xi, yi>>",xi,yi + if verbose: + print "ymin, ymax>>",ymin,ymax + print "ytemp.shape, profile.shape, index.shape>>",ytemp.shape, profile.shape, index.shape + if index.sum()>fitwidth/2: + ydata_temp = np.concatenate((ytemp[index], ytemp[index][-1] + np.arange(1,6))) + pdata_temp = np.concatenate((profile[index], [profile[index][-1]]*5)) + profileSpline = interpolate.UnivariateSpline(ydata_temp, pdata_temp, k=3.0,s=0.0) + profileSplineStack[i_pix,:] = profileSpline(yProfile) + else: + if verbose: message("not enough good pixels in segment %i" % i_pix) + profileSplineStack[i_pix,:] = 0.0 + goodColumns[i_pix] = False + + finalYProfile = np.arange(fitwidth)-fitwidth/2 + finalSplineProfile = np.median(profileSplineStack[goodColumns,:],0) + ## Normalize the absolute scaling of the final Profile + #xProfile = np.arange(-50.*fitwidth, 50*fitwidth)/100. + #profileParam = fitGaussian(finalSplineProfile, verbose=True) + #profileScaling = profileParam[0]*.01 + #print 'profileScaling>>', profileScaling + + backgroundAperture = (np.abs(yProfile) > bkg_radii[0]) * (np.abs(yProfile) < bkg_radii[1]) + #pdb.set_trace() + backgroundFit = np.polyfit(yProfile[backgroundAperture], finalSplineProfile[backgroundAperture], bkg_order) + + extractionAperture = (np.abs(yProfile) < extract_radius) + normalizedProfile = finalSplineProfile - np.polyval(backgroundFit, yProfile) + normalizedProfile *= oversamp / normalizedProfile[extractionAperture].sum() + + finalSpline = interpolate.UnivariateSpline(yProfile, + normalizedProfile, k=3.0, s=0.0) + + + + if verbose: + ax.plot(yProfile, finalSplineProfile, '--',linewidth=2) + plt.draw() + + if retall==True: + ret = finalSpline, profileStack, errorStack, goodPixels,profileSplineStack + else: + ret = finalSpline + + return ret + +def makeFitModel(param, spc,profile, xtemp=None): + scale, background, shift = param[0:3] + npix = len(spc) + if xtemp is None: + xtemp = np.arange(-npix/2,npix/2,dtype=float) + model = scale*profile(xtemp-shift)+background + return model + + +[docs] +def profileError(param, spc, profile, w, xaxis=None, retresidual=False): + "Compute the chi-squared error on a spectrum vs. a profile " + # 2012-04-25 12:59 IJMC: Slightly optimised (if retresidual is False) + + #scale, background, shift = param[0:3] + #npix = len(spc) + #xtemp = np.arange(-npix/2,npix/2,dtype=float) + interpolatedProfile = makeFitModel(param,spc,profile, xtemp=xaxis) #scale*profile(xtemp-shift)+background + #wresiduals = + #wresiduals = (w*((spc-interpolatedProfile))**2).sum() + if retresidual: + ret = (w**0.5) * (spc - interpolatedProfile) + else: + ret = (w * (spc - interpolatedProfile)**2).sum() + + return ret + + +[docs] +def fitprofile(spc, profile, w=None,verbose=False, guess=None, retall=False): + """Fit a spline-class spatial profile to a spectrum cross-section + """ + # 2010-11-29 14:14 IJC: Added poor attempt at catching bad pixels + + import analysis as an + import numpy as np + + spc = np.array(spc) + try: + npix = len(spc) + except: + npix = 0 + + if w is None: + w = np.ones(spc.shape) + else: + w[True - np.isfinite(w)] = 0. + + if guess is None: + guessParam = [1., 0., 0.] + else: + guessParam = guess + + if verbose>1: + #message("profileError>>"+str(profileError)) + #message("guessParam>>"+str(guessParam)) + #message("spc>>"+str(spc)) + message("w>>"+str(w)) + + good_index = w<>0.0 + xaxis = np.arange(-npix/2,npix/2,dtype=float) # take outside of fitting loop + bestFit = optimize.fmin_powell(profileError, guessParam, args=(spc,profile,w * good_index, xaxis),disp=verbose, full_output=True) + best_bic = bestFit[1] + len(bestFit[0]) * np.log(good_index.sum()) + keepCleaning = True + + if False: + while keepCleaning is True: + if verbose: print "best bic is: ", best_bic + #w_residuals = profileError(bestFit[0], spc, profile, w, retresidual=True) + #good_values = (abs(w_residuals)<>abs(w_residuals).max()) + diffs = np.hstack(([0], np.diff(spc))) + d2 = diffs * (-np.ones(len(spc)))**np.arange(len(spc)) + d3 = np.hstack((np.vstack((d2[1::], d2[0:len(spc)-1])).mean(0), [0])) + good_values = abs(d3)<>abs(d3).max() + good_index *= good_values + xaxis = np.arange(-npix/2,npix/2,dtype=float) # take outside of fitting loop + latestFit = optimize.fmin_powell(profileError, guessParam, args=(spc,profile,w * good_index, xaxis),disp=verbose, full_output=True) + latest_bic = latestFit[1] + len(latestFit[0]) * np.log(good_index.sum()) + if latest_bic < best_bic: + best_bic = latest_bic + bestFit = latestFit + keepCleaning = True + else: + keepCleaning = False + + if good_index.any() is False: + keepCleaning = False + #good_index = good_index * an.removeoutliers(w_residuals, 5, retind=True)[1] + + if verbose: + message("initial guess chisq>>%3.2f" % profileError(guessParam, spc, profile,w,xaxis)) + message("final fit chisq>>%3.2f" % profileError(bestFit[0], spc, profile,w, xaxis)) + + if retall: + ret = bestFit + else: + ret = bestFit[0] + + return ret + + + +[docs] +def fitProfileSlices(splineProfile, profileStack, stdProfile, goodPixels,verbose=False, bkg_radii=None, extract_radius=None): + """Fit a given spatial profile to a spectrum + + Helper function for :func:`extractSpectralProfiles` + + """ + + npix, fitwidth = profileStack.shape + stdProfile = stdProfile.copy() + goodPixels[np.isnan(stdProfile) + stdProfile==0] = False + stdProfile[True - goodPixels] = 1e9 + #varPData = stdProfile**2 + + if extract_radius is None: + extract_radius = fitwidth + + x2 = np.arange(npix) + x = np.arange(-fitwidth/2, fitwidth/2) + extractionAperture = np.abs(x) < extract_radius + nextract = extractionAperture.sum() + + fitparam = np.zeros((npix, 3),float) + fitprofiles = np.zeros((npix,nextract),float) + tempx = np.arange(-fitwidth/2,fitwidth/2,dtype=float) + + # Start out by getting a rough estimate of any additional bad + # pixels (to flag): + + #backgroundAperture = (np.abs(x) > bkg_radii[0]) * (np.abs(x) < bkg_radii[1]) + #background = an.wmean(profileStack[:, backgroundAperture], (goodPixels/varPData)[:, backgroundAperture], axis=1) + #badBackground = True - np.isfinite(background) + #background[badBackground] = 0. + + #subPData = profileStack - background + #standardSpectrum = an.wmean(subPData[:, extractionAperture], (goodPixels/varPData)[:,extractionAperture], axis=1) * extractionAperture.sum() + + if False: + varStandardSpectrum = an.wmean(varPData[:, extractionAperture], goodPixels[:, extractionAperture], axis=1) * extractionAperture.sum() + + badSpectrum = True - np.isfinite(standardSpectrum) + standardSpectrum[badSpectrum] = 1. + varStandardSpectrum[badSpectrum] = varStandardSpectrum[True - badSpectrum].max() * 1e9 + + mod = background + standardSpectrum * splineProfile(x) * (splineProfile(x).sum() / splineProfile(x[extractionAperture]).sum()) + + + + + anyNewBadPixels = True + nbp0 = goodPixels.size - goodPixels.sum() + gp0 = goodPixels.copy() + + while anyNewBadPixels is True: + for ii in range(npix): + if verbose>1: + print "*****In fitProfileSlices, pixel %i/%i" % (ii+1, npix) + if ii>0: # take the median of the last several guesses + gindex = [max(0,ii-2), min(npix, ii+2)] + guess = np.median(fitparam[gindex[0]:gindex[1]], 0) + else: + guess = None + + if verbose>1: + message("ii>>%i"%ii) + message("goodPixels>>"+str(goodPixels.astype(float)[ii,:])) + message("stdProfile>>"+str(stdProfile[ii,:])) + + thisfit = fitprofile(profileStack[ii,extractionAperture], splineProfile, (goodPixels.astype(float)/stdProfile**2)[ii,extractionAperture],verbose=verbose, guess=guess, retall=True) + bestfit = thisfit[0] + bestchi = thisfit[1] + + if verbose>1: + print "this fit: ",bestfit + fitparam[ii,:] = bestfit + fitprofiles[ii,:] = makeFitModel(bestfit, profileStack[ii,extractionAperture],splineProfile) + if verbose>1: + print "finished pixel %i/%i" % (ii+1,npix) + + + deviations = (fitprofiles - profileStack[:, extractionAperture])/stdProfile[:, extractionAperture] + for kk in range(nextract): + kk0 = extractionAperture.nonzero()[0][kk] + thisdevfit = an.polyfitr(x2, deviations[:, kk], 1, 3) + theseoutliers = np.abs((deviations[:, kk] - np.polyval(thisdevfit, x2))/an.stdr(deviations, 3)) > 5 + goodPixels[theseoutliers, kk0] = False + + nbp = goodPixels.size - goodPixels.sum() + if nbp <= nbp0: + anyNewBadPixels = False + else: + nbp0 = nbp + + for ii in range(fitparam.shape[1]): + fitparam[:,ii] = bfixpix(fitparam[:,ii], goodPixels[:,extractionAperture].sum(1) <= (nextract/2.), retdat=True) + + return fitparam, fitprofiles + + + + + + +[docs] +def extractSpectralProfiles(args, **kw): + """ + Extract spectrum + + :INPUTS: + args : tuple or list + either a tuple of (splineProfile, profileStack, errorStack, + profileMask), or a list of such tuples (from makeprofile). + + :OPTIONS: + bkg_radii : 2-sequence + inner and outer radii to use in computing background + + extract_radius : int + radius to use for both flux normalization and extraction + + :RETURNS: + 3-tuple: + [0] -- spectrum flux (in electrons) + + [1] -- background flux + + [2] -- best-fit pixel shift + + :EXAMPLE: + :: + out = spec.traceorders('aug16s0399.fits',nord=7) + + out2 = spec.makeprofile('aug16s0399.fits',out,retall=True) + + out3 = spec.extractSpectralProfiles(out2) + + :SEE_ALSO: + :func:`optimalExtract` + + :NOTES: + Note that this is non-optimal with highly tilted or curved + spectra, for the reasons described by Marsh (1989) and Mukai + (1990). + """ + # 2010-08-24 21:24 IJC: Updated comments + + if kw.has_key('verbose'): + verbose = kw['verbose'] + else: + verbose = False + + if kw.has_key('bkg_radii'): + bkg_radii = kw['bkg_radii'] + else: + bkg_radii = [15, 20] + if verbose: message("Setting option 'bkg_radii' to: " + str(bkg_radii)) + + if kw.has_key('extract_radius'): + extract_radius = kw['extract_radius'] + else: + extract_radius = 10 + + + #print 'starting...', args[0].__class__, isinstance(args[0],tuple)#, len(*arg) + fitprofiles = [] + if isinstance(args,list): # recurse with each individual set of arguments + #nord = len(arg[0]) + spectrum = [] + background = [] + pixshift = [] + for ii, thesearg in enumerate(args): + if verbose: print "----------- Iteration %i/%i" % (ii+1, len(args)) + #print 'recursion loop', thesearg.__class__, verbose, kw + tempout = extractSpectralProfiles(thesearg, **kw) + spectrum.append(tempout[0]) + background.append(tempout[1]) + pixshift.append(tempout[2]) + fitprofiles.append(tempout[3]) + spectrum = np.array(spectrum) + background = np.array(background) + pixshift = np.array(pixshift) + else: + #print 'actual computation', args.__class__, verbose, kw + splineProfile = args[0] + profileStack = args[1] + errorStack = args[2] + profileMask = args[3] + + + #print splineProfile.__class__, profileStack.__class__, errorStack.__class__, profileMask.__class__ + #print profileStack.shape, errorStack.shape, profileMask.shape + fps = dict() + if kw.has_key('verbose'): fps['verbose'] = kw['verbose'] + if kw.has_key('bkg_radii'): fps['bkg_radii'] = kw['bkg_radii'] + if kw.has_key('extract_radius'): fps['extract_radius'] = kw['extract_radius'] + fitparam, fitprofile = fitProfileSlices(splineProfile, profileStack, errorStack, profileMask, **fps) + spectrum = fitparam[:,0] + background = fitparam[:,1] + pixshift = fitparam[:,2] + fitprofiles.append(fitprofile) + + ret = (spectrum, background, pixshift, fitprofiles) + + return ret + + + +[docs] +def gaussint(x): + """ + :PURPOSE: + Compute the integral from -inf to x of the normalized Gaussian + + :INPUTS: + x : scalar + upper limit of integration + + :NOTES: + Designed to copy the IDL function of the same name. + """ + # 2011-10-07 15:41 IJMC: Created + + from scipy.special import erf + + scalefactor = 1./np.sqrt(2) + return 0.5 + 0.5 * erf(x * scalefactor) + +[docs] +def slittrans(*varargin): + """+ + :NAME: + slittrans + + :PURPOSE: + Compute flux passing through a slit assuming a gaussian PSF. + + :CATEGORY: + Spectroscopy + + :CALLING SEQUENCE: + result = slittrans(width,height,fwhm,xoffset,yoffset,CANCEL=cancel) + + :INPUTS: + width - Width of slit. + height - Height of slit. + fwhm - Full-width at half-maximum of the gaussian image. + xoffset - Offset in x of the image from the center of the slit. + yoffset - Offset in y of the image from the center of the slit. + + Note: the units are arbitrary but they must be the same across + all of the input quantities. + + KEYWORD PARAMETERS: + CANCEL - Set on return if there is a problem + + OUTPUTS: + Returned is the fraction of the total gaussian included in the slit. + + EXAMPLE: + result = slittrans(0.3,15,0.6,0,0) + + Computes the fraction of the flux transmitted through a slit + 0.3x15 arcseconds with a PSF of 0.6 arcseconds FWHM. The PSF is + centered on the slit. + + MODIFICATION HISTORY: + Based on M Buie program, 1991 Mar., Marc W. Buie, Lowell Observatory + Modified 2000 Apr., M. Cushing to include y offsets. + 2011-10-07 15:45 IJMC: Converted to Python + 2011-11-14 16:29 IJMC: Rewrote to use :func:`erf` rather than + :func:`gaussint` + """ + #function slittrans,width,height,fwhm,xoffset,yoffset,CANCEL=cancel + + from scipy.special import erf + + cancel = 0 + n_params = len(varargin) + + if n_params <> 5: + print 'Syntax - result = slittrans(width,height,fwhm,xoffset,yoffset,', + print ' CANCEL=cancel)' + cancel = 1 + return cancel + + width, height, fwhm, xoffset, yoffset = varargin[0:5] + + #cancel = cpar('slittrans',width,1,'Width',[2,3,4,5],0) + #if cancel then return,-1 + #cancel = cpar('slittrans',height,2,'Height',[2,3,4,5],0) + #if cancel then return,-1 + #cancel = cpar('slittrans',fwhm,3,'FWHM',[2,3,4,5],0) + #if cancel then return,-1 + #cancel = cpar('slittrans',xoffset,4,'Xoffset',[2,3,4,5],0) + #if cancel then return,-1 + #cancel = cpar('slittrans',yoffset,5,'Yoffset',[2,3,4,5],0) + #if cancel then return,-1 + + # Go ahead + + a = 0.5 * width + b = 0.5 * height + + #s = fwhm/(np.sqrt(8.0*np.log(2.0))) + #slit = ( 1.0 - gaussint( -(a+xoffset)/s ) - gaussint( -(a-xoffset)/s ) ) * \ + # ( 1.0 - gaussint( -(b+yoffset)/s ) - gaussint( -(b-yoffset)/s ) ) + + invs2 = (np.sqrt(4.0*np.log(2.0)))/fwhm # sigma * sqrt(2) + + slit4 = 0.25 * ( (erf( -(a+xoffset)*invs2) + erf( -(a-xoffset)*invs2) ) ) * \ + ( (erf( -(b+yoffset)*invs2) + erf( -(b-yoffset)*invs2) ) ) + + + #print 'smin/max,',slit.min(), slit5.max() + #print 'smin/max,',slit4.min(), slit4.max() + + + return slit4 + + +[docs] +def atmosdisp(wave, wave_0, za, pressure, temp, water=2., fco2=0.0004, obsalt=0.): + """:NAME: + atmosdisp + + PURPOSE: + Compute the atmosperic dispersion relative to lambda_0. + + CATEGORY: + Spectroscopy + + CALLING SEQUENCE: + result = atmosdisp(wave,wave_0,za,pressure,temp,[water],[obsalt],$ + CANCEL=cancel) + + INPUTS: + wave - wavelength in microns + wave_0 - reference wavelength in microns + za - zenith angle of object [in degrees] + pressure - atmospheric pressure in mm of Hg + temp - atmospheric temperature in degrees C + + OPTIONAL INPUTS: + water - water vapor pressure in mm of Hg. + fco2 - relative concentration of CO2 (by pressure) + obsalt - The observatory altitude in km. + + KEYWORD PARAMETERS: + CANCEL - Set on return if there is a problem + + OUTPUTS: + Returns the atmospheric disperion in arcseconds. + + PROCEDURE: + Computes the difference between the dispersion at two + wavelengths. The dispersion for each wavelength is derived from + Section 4.3 of Green's "Spherical Astronomy" (1985). + + EXAMPLE: + + + + MODIFICATION HISTORY: + 2000-04-05 - written by M. Cushing, Institute for Astronomy, UH + 2002-07-26 - cleaned up a bit. + 2003-10-20 - modified formula - WDV + 2011-10-07 15:51 IJMC: Converted to Python, with some unit conversions + -""" + + #function atmosdisp,wave,wave_0,za,pressure,temp,water,obsalt,CANCEL=cancel + from nsdata import nAir + + # Constants + + mmHg2pa = 101325./760. # Pascals per Torr (i.e., per mm Hg) + rearth = 6378.136e6 #6371.03 # mean radius of earth in km [Allen's] + hconst = 2.926554e-2 # R/(mu*g) in km/deg K, R=gas const=8.3143e7 + # mu=mean mol wght. of atm=28.970, g=980.665 + tempk = temp + 273.15 + pressure_pa = pressure * mmHg2pa + water_pp = water/pressure # Partial pressure + hratio = (hconst * tempk)/(rearth + obsalt) + + # Compute index of refraction + + nindx = nAir(wave,P=pressure_pa,T=tempk,pph2o=water_pp, fco2=fco2) + nindx0 = nAir(wave_0,P=pressure_pa,T=tempk,pph2o=water_pp, fco2=fco2) + + # Compute dispersion + + acoef = (1. - hratio)*(nindx - nindx0) + bcoef = 0.5*(nindx*nindx - nindx0*nindx0) - (1. + hratio)*(nindx - nindx0) + + tanz = np.tan(np.deg2rad(za)) + disp = 206265.*tanz*(acoef + bcoef*tanz*tanz) + + #print nindx + #print nindx0 + #print acoef + #print bcoef + #print tanz + #print disp + return disp + + + +[docs] +def parangle(HA, DEC, lat): + """ + + + NAME: + parangle + + PURPOSE: + To compute the parallactic angle at a given position on the sky. + + CATEGORY: + Spectroscopy + + CALLING SEQUENCE: + eta, za = parangle(HA, DEC, lat) + + INPUTS: + HA - Hour angle of the object, in decimal hours (0,24) + DEC - Declination of the object, in degrees + lat - The latitude of the observer, in degrees + + KEYWORD PARAMETERS: + CANCEL - Set on return if there is a problem + + OUTPUTS: + eta - The parallactic angle + za - The zenith angle + + PROCEDURE: + Given an objects HA and DEC and the observers latitude, the + zenith angle and azimuth are computed. The law of cosines + then gives the parallactic angle. + + EXAMPLE: + NA + + + MODIFICATION HISTORY: + 2000-04-05 - written by M. Cushing, Institute for Astronomy,UH + 2002-08-15 - cleaned up a bit. + 2003-10-21 - changed to pro; outputs zenith angle as well - WDV + 2011-10-07 17:58 IJMC: Converted to Python +-""" + + #pro parangle, HA, DEC, lat, eta, za, CANCEL=cancel + + cancel = 0 + d2r = np.deg2rad(1.) + r2d = np.rad2deg(1.) + + # If HA equals zero then it is easy. + HA = HA % 24 + # Check to see if HA is greater than 12. + if hasattr(HA, '__iter__'): + HA = np.array(HA, copy=False) + HAind = HA > 12 + if HAind.any(): + HA[HAind] = 24. - HA[HAind] + else: + if HA>12.: + HA = 24. - HA + + HA = HA*15. + + # Determine Zenith angle and Azimuth + cos_za = np.sin(lat*d2r) * np.sin(DEC*d2r) + \ + np.cos(lat*d2r) * np.cos(DEC*d2r) * np.cos(HA*d2r) + za = np.arccos(cos_za) * r2d + cos_az = (np.sin(DEC*d2r) - np.sin(lat*d2r)*np.cos(za*d2r)) / \ + (np.cos(lat*d2r) * np.sin(za*d2r)) + az = np.arccos(cos_az)*r2d + + if hasattr(az, '__iter__'): + azind = az==0 + if azind.any() and DEC 90 + if etaind.any(): + eta[etaind] += 180. + elif ezind.any(): + eta[ezind] = 180. + if zaind.any(): + eta[zaind] = np.nan + else: + if eta < 0: + eta += 180. + elif eta==0 and az==0: + eta = 180. + if za>90: + eta = np.nan + + HA = HA/15.0 + + return eta, za + +[docs] +def lightloss(objfile, wguide, seeing, press=None, water=None, temp=None, fco2=None, wobj=None, dx=0, dy=0, retall=False): + """ + + NAME: + lightloss + + PURPOSE: + To determine the slit losses from a spectrum. + + CATEGORY: + Spectroscopy + + CALLING SEQUENCE: + ### TBD lightloss, obj, std, wguide, seeing, out, CANCEL=cancel + + INPUTS: + obj - FITS file of the object spectrum + wguide - wavelength at which guiding was done + seeing - seeing FWHM at the guiding wavelength + + OPTIONAL INPUTS: + press - mm Hg typical value (615 for IRTF, unless set) + water - mm Hg typical value (2 for IRTF, unless set) + temp - deg C typical value (0 for IRTF, unless set) + fco2 - relative concentration of CO2 (0.004, unless set) + wobj - wavelength scale for data + dx - horizontal offset of star from slit center + dy - vertical offset of star from slit center + retall- whether to return much diagnostic info, or just lightloss. + + NOTES: + 'seeing', 'dx', and 'dy' should all be in the same units, and + also the same units used to define the slit dimensions in the + obj FITS file header + + KEYWORD PARAMETERS: + CANCEL - Set on return if there is a problem + + OUTPUTS: + array : fractional slit loss at each wavelength value + OR: + tuple of arrays: (slitloss, disp_obj, diff, fwhm, dx_obj, dy_obj) + + + PROCEDURE: + Reads a Spextool FITS file. + + EXAMPLE: + None + + REQUIREMENTS: + :doc:`phot` + :doc:`pyfits` + + MODIFICATION HISTORY: + 2003-10-21 - Written by W D Vacca + 2011-10-07 20:19 IJMC: Converted to Python, adapted for single objects + 2011-10-14 14:01 IJMC: Added check for Prism mode (has + different slit dimension keywords) and different + pyfits header read mode. + 2011-11-07 15:53 IJMC: Added 'retall' keyword + + - + """ + #pro lightloss, objfile, stdfile, wguide, seeing, outfile,CANCEL=cancel + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + from phot import hms, dms + + r2d = np.rad2deg(1) + + # --- Open input files + + obj = pyfits.getdata(objfile) + objhdu = pyfits.open(objfile) + #objhdr = pyfits.getheader(objfile) + objhdu.verify('silentfix') + objhdr = objhdu[0].header + if wobj is None: + try: + wobj = obj[:,0,:] + #fobj = obj[:,1,:] + #eobj = obj[:,2,:] + except: + wobj = obj[0,:] + #fobj = obj[1,:] + #eobj = obj[2,:] + + # --- Read header keywords + + tele = objhdr['TELESCOP'] + + try: + slitwd = objhdr['SLTW_ARC'] + slitht = objhdr['SLTH_ARC'] + except: # for SpeX prism mode: + slitwd, slitht = map(float, objhdr['SLIT'].split('x')) + + #xaxis = objhdr['XAXIS'] + #xunits = objhdr['XUNITS'] + #yaxis = objhdr['YAXIS'] + #yunits = objhdr['YUNITS'] + + posang_obj = objhdr['POSANGLE'] + HA_objstr = objhdr['HA'] + DEC_objstr = objhdr['DEC'] + + # --- Process keywords + + #coord_str = HA_objstr + ' ' + DEC_objstr + #get_coords, coords, InString=coord_str + HA_obj, DEC_obj = dms(HA_objstr), dms(DEC_objstr) + + if posang_obj<0.0: + posang_obj += 180. + if posang_obj >= 180.0: + posang_obj -= 180.0 + + if tele=='NASA IRTF': + obsdeg = 19.0 + obsmin = 49.0 + obssec = 34.39 + obsalt = 4.16807 # observatory altitude in km + teldiam = 3.0 # diameter of primary in meters + if press is None: + press = 615.0 # mm Hg typical value + if water is None: + water = 2.0 # mm Hg typical value + if temp is None: + temp = 0.0 # deg C typical value + else: + print 'Unknown Telescope - stopping!' + return + + if fco2 is None: + fco2 = 0.0004 + + obslat = dms('%+02i:%02i:%02i' % (obsdeg, obsmin, obssec)) + + # --- Compute Parallactic Angle + pa_obj, za_obj = parangle(HA_obj, DEC_obj, obslat) + dtheta_obj = posang_obj - pa_obj + #print posang_obj, pa_obj, dtheta_obj, za_obj + + #print posang_obj, pa_obj, dtheta_obj, HA_obj + + # --- Compute Differential Atmospheric Dispersion + disp_obj = atmosdisp(wobj, wguide, za_obj, press, temp, \ + water=water, obsalt=obsalt, fco2=fco2) + + # --- Compute FWHM at each input wavelength + diff = 2.0*1.22e-6*3600.0*r2d*(wobj/teldiam) # arcsec + fwhm = (seeing*(wobj/wguide)**(-0.2)) + fwhm[fwhm < diff] = diff[fwhm < diff] + + # --- Compute Relative Fraction of Light contained within the slit + dx_obj = (disp_obj*np.sin(dtheta_obj/r2d)) + dx + dy_obj = (disp_obj*np.cos(dtheta_obj/r2d)) + dy + + slitloss = slittrans(slitwd,slitht,fwhm,dx_obj,dy_obj) + + #debug_check = lightloss2(wobj, slitwd, slitht, posang_obj/57.3, pa_obj/57.3, za_obj/57.3, wguide, seeing, retall=retall) + + if retall: + return (slitloss, disp_obj, diff, fwhm, dx_obj, dy_obj) + else: + return slitloss + + + +[docs] +def lightloss2(wobj, slitwd, slitht, slitPA, targetPA, zenith_angle, wguide, seeing, press=615., water=2., temp=0., fco2=0.004, obsalt=4.16807, teldiam=3., dx=0, dy=0, retall=False, ydisp=None, xdisp=None, fwhm=None): + """ + + NAME: + lightloss2 + + PURPOSE: + To determine the slit losses from an observation (no FITS file involved) + + CATEGORY: + Spectroscopy + + CALLING SEQUENCE: + ### TBD lightloss, obj, std, wguide, seeing, out, CANCEL=cancel + + INPUTS: + wobj - wavelength scale for data + slitwd - width of slit, in arcsec + slitht - height of slit, in arcsec + slitPA - slit Position Angle, in radians + targetPA - Parallactic Angle at target, in radians + zenith_angle - Zenith Angle, in radians + wguide - wavelength at which guiding was done + seeing - seeing FWHM at the guiding wavelength + + OPTIONAL INPUTS: + press - mm Hg typical value (615, unless set) + water - mm Hg typical value (2 , unless set) + temp - deg C typical value (0 , unless set) + fco2 - relative concentration of CO2 (0.004, unless set) + obsalt- observatory altitude, in km + teldiam- observatory limiting aperture diameter, in m + dx - horizontal offset of star from slit center + dy - vertical offset of star from slit center + retall- whether to return much diagnostic info, or just lightloss. + + ydisp - The position of the spectrum in the slit at all + values of wobj. This should be an array of the same + size as wobj, with zero corresponding to the vertical + middle of the slit and positive values tending toward + zenith. In this case xdisp will be computed as XXXX + rather than from the calculated atmospheric + dispersion; dx and dy will also be ignored. + + fwhm - Full-width at half-maximum of the spectral trace, at + all values of wobj. This should be an array of the + same size as wobj, measured in arc seconds. + + + NOTES: + 'slitwidth', 'slitheight', 'seeing', 'dx', 'dy', and 'fwhm' + (if used) should all be in the same units: arc seconds. + + OUTPUTS: + array : fractional slit loss at each wavelength value + OR: + tuple of arrays: (slitloss, disp_obj, diff, fwhm, dx_obj, dy_obj) + + + PROCEDURE: + All input-driven. For the SpeXTool-version analogue, see + :func:`lightloss` + + EXAMPLE: + import numpy as np + import spec + w = np.linspace(.5, 2.5, 100) # Wavelength, in microns + d2r = np.deg2rad(1.) + #targetPA, za = spec.parangle(1.827, 29.67*d2r, lat=20.*d2r) + targetPA, za = 105.3, 27.4 + slitPA = 90. * d2r + + spec.lightloss2(w, 3., 15., slitPA, targetPA*d2r, za*d2r, 2.2, 1.0) + + REQUIREMENTS: + :doc:`phot` + + MODIFICATION HISTORY: + 2003-10-21 - Written by W D Vacca + 2011-10-07 20:19 IJMC: Converted to Python, adapted for single objects + 2011-10-14 14:01 IJMC: Added check for Prism mode (has + different slit dimension keywords) and different + pyfits header read mode. + 2011-11-07 15:53 IJMC: Added 'retall' keyword + 2011-11-07 21:17 IJMC: Cannibalized from SpeXTool version + 2011-11-25 15:06 IJMC: Added ydisp and fwhm options. + - + """ + #pro lightloss, objfile, stdfile, wguide, seeing, outfile,CANCEL=cancel + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + from phot import hms, dms + + r2d = np.rad2deg(1) + d2r = np.deg2rad(1.) + + if slitPA<0.0: + slitPA += np.pi + if slitPA >= np.pi: + slitPA -= np.pi + + # --- Compute Parallactic Angle + dtheta_obj = slitPA - targetPA + #print slitPA, targetPA, dtheta_obj, zenith_angle + + # --- Compute FWHM at each input wavelength + diff = 2.0*1.22e-6*3600.0*r2d*(wobj/teldiam) # arcsec + if fwhm is None: + fwhm = (seeing*(wobj/wguide)**(-0.2)) + + fwhm[fwhm < diff] = diff[fwhm < diff] + + if ydisp is None or xdisp is None: + # --- Compute Differential Atmospheric Dispersion + disp_obj = atmosdisp(wobj, wguide, zenith_angle*r2d, press, temp, \ + water=water, obsalt=obsalt, fco2=fco2) + + + if ydisp is None: + dy_obj = (disp_obj*np.cos(dtheta_obj)) + dy + else: + dy_obj = ydisp + + if xdisp is None: + dx_obj = (disp_obj*np.sin(dtheta_obj)) + dx + else: + dx_obj = xdisp + + else: + dx_obj = np.array(xdisp, copy=False) + dy_obj = np.array(ydisp, copy=False) + if retall: + disp_obj = (dy_obj - dy) / np.cos(dtheta_obj) + +# if xdisp is None and ydisp is None: +# guide_index = np.abs(wobj - wguide).min() == np.abs(wobj-wguide) +# dy = ydisp[guide_index].mean() +# dy_obj = ydisp +# dx_obj = (dy_obj - dy) * np.tan(dtheta_obj) + + # --- Compute Relative Fraction of Light contained within the slit + slitloss = slittrans(slitwd, slitht, fwhm, dx_obj, dy_obj) + + if retall: + return slitloss, disp_obj, diff, fwhm, dx_obj, dy_obj + else: + return slitloss + + +[docs] +def humidpressure(RH, T): + """ + + NAME: + humidpressure + + PURPOSE: + To convert relative humidity into a H2O vapor partial pressure + + CATEGORY: + Spectroscopy + + CALLING SEQUENCE: + humidpressure(RH, 273.15) + + INPUTS: + RH - relative humidity, in percent + T - temperature, in Kelvin + + OUTPUTS: + h2o_pp : water vapor partial pressure, in Pascals + + PROCEDURE: + As outlined in Butler (1998): "Precipitable Water at KP", MMA + Memo 238 (which refers in turn to Liebe 1989, "MPM - An + Atmospheric Millimeter-Wave Propagation Model"). Liebe + claims that this relation has an error of <0.2% from -40 C to + +40 C. + + EXAMPLE: + None + + MODIFICATION HISTORY: + 2011-10-08 17:08 IJMC: Created. + - + """ + + # units of Pa + #theta = 300./T + #return 2.408e11 * RH * np.exp(-22.64*theta) * (theta*theta*theta*theta) + + theta_mod = 6792./T # theta * 22.64 + return 9.1638 * RH * np.exp(-theta_mod) * \ + (theta_mod*theta_mod*theta_mod*theta_mod) + + +[docs] +def runlblrtm(lamrange, pwv=2., zang=0., alt=4.2, co2=390, res=200, dotrans=True, dorad=False, + pwv_offset=4., + verbose=False, _save='/Users/ianc/temp/testatmo.mat', + _wd='/Users/ianc/proj/atmo/aerlbl_v12.0_package/caltech_wrapper_v02/', + scriptname='runtelluric.m', + command = '/Applications/Octave.app/Contents/Resources/bin/octave'): + """ + Run LBLRTM to compute atmospheric transmittance and/or radiance. + + :INPUTS: + lamrange : 2-sequence + approximate minimum and maximum wavelengths + + :OPTIONS: + pwv : float + mm of Precipitable Water Vapor above observation site. If + negative, then the value abs(pwv_offset-pwv) will be used instead. + + pwv_offset : float + Only used if (pwv < 0); see above for description. + + zang : float + observation angle from zenith, in degrees + + alt : float + Observation elevation, in km. + + co2 : float + CO2 concentration in ppm by volume. Concentration is assumed + to be uniform throughout the atmosphere. + + res : float + approximate spectral resolution desired + + dotrans : bool + compute atmospheric transmittance + + dorad : bool + compute atmospheric radiance. NOT CURRENTLY WORKING + + _save : str + path where temporary MAT save file will be stored + + _wd : str + path where MATLAB wrapper scripts for LBLRTM are located + + scriptname : str + filename for temporary MATLAB/OCTAVE script (saved after exit) + + command : str + path to MATLAB/OCTAVE executable + + :OUTPUTS: + A 2- or 3-tuple: First element is wavelength in microns, second + element is transmittance (if requested). Radiance will (if + requested) always be the last element, and in f_nu units: W/cm2/sr/(cm^-1) + + :REQUIREMENTS: + SciPy + + OCTAVE or MATLAB + + `LBLRTM `_ + + D. Feldman's set of MATLAB `wrapper scripts + `_ + """ + # 2011-10-13 13:59 IJMC: Created. + # 2011-10-19 23:35 IJMC: Added scipy.__version__ check for MAT IO + # 2011-10-25 17:00 IJMC: Added pwv_offset option. + # 2011-11-07 08:47 IJMC: Now path(path..) uses _wd input option; call --wd option. + # 2012-07-20 21:25 IJMC: Added 'alt' option for altitude. + # 2012-09-16 15:13 IJMC: Fixed for 'dotrans' and 'dorad' + # 2014-02-17 18:48 IJMC: Specified approximate units of radiance output. + + import os + from scipy.io import loadmat + from scipy import __version__ + + # Define variables: + + def beforev8(ver): + v1, v2, v3 = ver.split('.') + if v1==0 and v2<8: + before = True + else: + before = False + return before + + if pwv<0: + pwv = np.abs(pwv_offset - pwv) + #lamrange = [1.12, 2.55] # microns + #res = 200; # lambda/dlambda + + + # Try to delete old files, if possible. + if os.path.isfile(_save): + #try: + # os.remove(_save) + #except: + while os.path.isfile(_save): + _save = _save.replace('.mat', '0.mat') + + if os.path.isfile(scriptname): + #try: + # os.remove(scriptname) + #except: + while os.path.isfile(scriptname): + scriptname = scriptname.replace('.m', '0.m') + + aerlbl_dir = '/'.join(_wd.split('/')[0:-2]) + '/' + + # Make the matlab script: + matlines = [] + matlines.append("_path = '%s';\n" % _wd ) + matlines.append("_save = '%s';\n" % _save ) + matlines.append("_dir0 = pwd;\n") + matlines.append("path(path, '%s')\n" % _wd ) + matlines.append("lamrange = [%1.5f, %1.5f];\n" % (lamrange[0], lamrange[1])) + if verbose: + matlines.append("pwd\n") + matlines.append("wt = which('telluric_simulator')\n") + matlines.append("strfind(path, 'caltech')\n") + matlines.append("tran_out = telluric_simulator(lamrange, '--dotran %i', '--dorad %i', '--R %s', '--alt %1.4f', '--pwv %1.4f', '--co2 %1.1f', '--zang %1.3f', '--verbose %i', '--wd %s');\n" % (int(dotrans), int(dorad), res, alt, pwv, co2, zang, verbose, aerlbl_dir) ) + matlines.append("save('-v6', _save, 'tran_out');\n") + + # Write script to disk, and execute it: + f = open(scriptname, 'w') + f.writelines(matlines) + f.close() + os.system('%s %s' % (command, scriptname)) + + # Open the MAT file and extract the desired output: +# try: + if os.path.isfile(_save): + mat = loadmat(_save) + else: + trycount = 1 + print "Saved file '%s' could not be loaded..." % _save + while trycount < 5: + os.system('%s %s' % (command, scriptname)) + try: + mat = loadmat(_save) + trycount = 10 + except: + trycount += 1 + if trycount < 10: # never successfully loaded the file. + pdb.set_trace() + + if beforev8(__version__): + w = mat['tran_out'][0][0].wavelength.ravel() + else: + w = mat['tran_out']['wavelength'][0][0].ravel() + if dotrans: + if beforev8(__version__): + t = mat['tran_out'][0][0].transmittance.ravel() + else: + t = mat['tran_out']['transmittance'][0][0].ravel() + if dorad: + if beforev8(__version__): + r = mat['tran_out'][0][0].radiance.ravel() + else: + r = mat['tran_out']['radiance'][0][0].ravel() + + os.remove(scriptname) + os.remove(_save) + + if dotrans: + ret = (w, t) + else: + ret = (w,) + if dorad: + ret = ret + (r,) + + return ret + +[docs] +def zenith(ra, dec, ha, obs): + """ Compute zenith angle (in degrees) for an observation. + + :INPUTS: + ra : str + Right Ascension of target, in format: HH:MM:SS.SS + + dec : str + Declination of target, in format: +ddd:mm:ss + + ha : str + Hour Angle of target, in format: +HH:MM:SS.SS + + obs : str + Name of observatory site (keck, irtf, lick, lapalma, ctio, + andersonmesa, mtgraham, kpno) or a 3-tuple containing + (longitude_string, latitude_string, elevation_in_meters) + + + :OUTPUTS: + Zenith angle, in degrees, for the specified observation + + :REQUIREMENTS: + :doc:`phot` + + Numpy + """ + # 2011-10-14 09:43 IJMC: Created + + import phot + + #observer = ephem.Observer() + if obs=='lick': + obs_long, obs_lat = '-121:38.2','37:20.6' + obs_elev = 1290 + elif obs=='keck': + obs_long, obs_lat = '-155:28.7','19:49.7' + obs_elev = 4160 + elif obs=='irtf': + obs_long, obs_lat = '-155:28:21.3', '19:49:34.8' + obs_elev = 4205 + elif obs=='lapalma': + obs_long, obs_lat = '17:53.6','28:45.5' + obs_elev = 4160 + elif obs=='ctio': + obs_long, obs_lat = '-70:48:54','-30:9.92' + obs_elev = 2215 + elif obs=='andersonmesa': # + obs_long, obs_lat = '-111:32:09', '30:05:49' + obs_elev = 2163 + elif obs=='mtgraham': + obs_long, obs_lat = '-109:53:23', '32:42:05' + obs_elev = 3221 + elif obs=='kpno': + obs_long, obs_lat = '-111:25:48', '31:57:30' + obs_elev = 2096 + elif len(obs)==3: + obs_long, obs_lat, obs_elev = obs + else: + print "Unknown or imparseable observatory site." + return -1 + + lat = phot.dms(obs_lat) * np.pi/180. + long = phot.dms(obs_long) * np.pi/180. + ra = (phot.hms(ra)) * np.pi/180. + dec= (phot.dms(dec)) * np.pi/180. + + # Compute terms for coordinate conversion + if hasattr(ha, '__iter__'): + zang = [] + for ha0 in ha: + har = (phot.hms(ha0)) * np.pi/180. + term1 = np.sin(lat)*np.sin(dec)+np.cos(lat)*np.cos(dec)*np.cos(har) + term2 = np.cos(lat)*np.sin(dec)-np.sin(lat)*np.cos(dec)*np.cos(har) + term3 = -np.cos(dec)*np.sin(har) + rad = np.abs(term3 +1j*term2) + az = np.arctan2(term3,term2) + alt = np.arctan2(term1, rad) + zang.append(90. - (alt*180./np.pi)) + else: + har = (phot.hms(ha0)) * np.pi/180. + term1 = np.sin(lat)*np.sin(dec)+np.cos(lat)*np.cos(dec)*np.cos(har) + term2 = np.cos(lat)*np.sin(dec)-np.sin(lat)*np.cos(dec)*np.cos(har) + term3 = -np.cos(dec)*np.sin(har) + rad = np.abs(term3 +1j*term2) + az = np.arctan2(term3,term2) + alt = np.arctan2(term1, rad) + zang = 90. - (alt*180./np.pi) + + ## Compute airmass + #z = pi/2. - alt + #airmass = 1./(np.cos(z) + 0.50572*(96.07995-z*180./pi)**(-1.6364)) + + return zang + + + + +[docs] +def spexsxd_scatter_model(dat, halfwid=48, xlims=[470, 1024], ylims=[800, 1024], full_output=False, itime=None): + """Model the scattered light seen in SpeX/SXD K-band frames. + + :INPUTS: + dat : str or numpy array + filename of raw SXD frame to be corrected, or a Numpy array + containing its data. + + :OPTIONS: + halfwid : int + half-width of the spectral orders. Experience shows this is + approximately 48 pixels. This value is not fit! + + xlims : list of length 2 + minimum and maximum x-pixel values to use in the fitting + + ylims : list of length 2 + minimum and maximum y-pixel values to use in the fitting + + full_output : bool + whether to output only model, or the tuple (model, fits, chisq, nbad) + + itime : float + integration time, in seconds, with which to scale the initial + guesses + + :OUTPUT: + scatter_model : numpy array + Model of the scattered light component, for subtraction or saving. + + OR: + + scatter_model, fits, chis, nbad + + :REQUIREMENTS: + :doc:`pyfits`, :doc:`numpy`, :doc:`fit_atmo`, :doc:`analysis`, :doc:`phasecurves` + + :TO_DO_LIST: + I could stand to be more clever in modeling the scattered light + components -- perhaps fitting for the width, or at least + allowing the width to be non-integer. + """ + # 2011-11-10 11:10 IJMC: Created + + import analysis as an + import phasecurves as pc + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + + ############################################################ + # Define some helper functions: + ############################################################ + + + + def tophat(param, x): + """Grey-pixel tophat function with set width + param: [cen_pix, amplitude, background] + x : must be array of ints, arange(0, size-1) + returns the model.""" + # 2011-11-09 21:37 IJMC: Created + intpix, fracpix = int(param[0]), param[0] % 1 + th = param[1] * ((-halfwid <= (x - intpix)) * ((x - intpix) < halfwid)) + # th = * th.astype(float) + if (intpix >= halfwid) and ((intpix - halfwid) < x.size): + th[intpix - halfwid] = param[1]*(1. - fracpix) + if (intpix < (x.size - halfwid)) and ((intpix + halfwid) >= 0): + th[intpix + halfwid] = param[1]*fracpix + return th + param[2] + + def tophat2g(param, x, p0prior=None): + """Grey-pixel double-tophat plus gaussian + param: [cen_pix1, amplitude1, cen_pix2, amplitude2, g_area, g_sigma, g_center, background] + x : must be ints, arange(0, size-1) + returns the model.""" # 2011-11-09 21:37 IJMC: Created + #th12 = + #th2 = + #gauss = +# if p0prior is not None: +# penalty = + return tophat([param[0], param[1], 0], x) + \ + tophat([param[2], param[3], 0], x) + \ + gaussian(param[4:7], x) + param[7] + + ############################################################ + # Parse inputs + ############################################################ + halfwid = int(halfwid) + if isinstance(dat, np.ndarray): + if itime is None: + itime = 1. + else: + if itime is None: + try: + itime = pyfits.getval(dat, 'ITIME') + except: + itime = 1. + dat = pyfits.getdata(dat) + + nx, ny = dat.shape + + scatter_model = np.zeros((nx, ny), dtype=float) + chis, fits, nbad = [], [], [] + iivals = np.arange(xlims[1]-1, xlims[0], -1, dtype=int) + + position_offset = 850 - ylims[0] + est_coefs = np.array([ -5.02509772e-05, 2.97212397e-01, -7.65702234e+01]) + estimated_position = np.polyval(est_coefs, iivals) + position_offset + estimated_error = 0.5 + + # to hold scattered light position fixed, rather than fitting for + # that position, uncomment the following line: + #holdfixed = [0] + holdfixed = None + + ############################################################ + # Start fitting + ############################################################ + for jj, ii in enumerate(iivals): + col = dat[ylims[0]:ylims[1], ii] + ecol = np.ones(col.size, dtype=float) + x = np.arange(col.size, dtype=float) + if len(fits)==0: + all_guess = [175 + position_offset, 7*itime, \ + 70 + position_offset, 7*itime, \ + 250*itime, 5, 89 + position_offset, 50] + else: + all_guess = fits[-1] + all_guess[0] = estimated_position[jj] + model_all = tophat2g(all_guess, x) + res = (model_all - col) + badpix = np.abs(res) > (4*an.stdr(res, nsigma=4)) + ecol[badpix] += 1e9 + + fit = an.fmin(pc.errfunc, all_guess, args=(tophat2g, x, col, 1./ecol**2), full_output=True, maxiter=1e4, maxfun=1e4, disp=False, kw=dict(testfinite=False), holdfixed=holdfixed) + best_params = fit[0].copy() + res = tophat2g(best_params, x) - col + badpix = np.abs(res) > (4*an.stdr(res, nsigma=4)) + badpix[((np.abs(np.abs(x - best_params[0]) - 48.)) < 2) + \ + ((np.abs(np.abs(x - best_params[2]) - 48.)) < 2)] = False + badpix += (np.abs(res) > (20*an.stdr(res, nsigma=4))) + ecol = np.ones(col.size, dtype=float) + ecol[badpix] += 1e9 + best_chisq = pc.errfunc(best_params, tophat2g, x, col, 1./ecol**2) + + # Make sure you didn't converge on the wrong model: + for this_offset in ([-2, 0, 2]): + this_guess = fit[0].copy() + this_guess[2] += this_offset + this_guess[0] = estimated_position[jj] + #pc.errfunc(this_guess, tophat2g, x, col, 1./ecol**2) + this_fit = an.fmin(pc.errfunc, this_guess, args=(tophat2g, x, col, 1./ecol**2), full_output=True, maxiter=1e4, maxfun=1e4, disp=False, kw=dict(testfinite=False), holdfixed=holdfixed) + #print this_offset1, this_offset2, this_fit[1] + if this_fit[1] < best_chisq: + best_chisq = this_fit[1] + best_params = this_fit[0].copy() + + fits.append(best_params) + chis.append(best_chisq) + nbad.append(badpix.sum()) + mod2 = tophat2g(best_params, x) + scatter_model[ylims[0]:ylims[1], ii] = tophat(list(best_params[0:2])+[0], x) + + if full_output: + return scatter_model, fits, chis, nbad + else: + return scatter_model + + + +[docs] +def spexsxd_scatter_fix(fn1, fn2, **kw): + """ Fix scattered light in SpeX/SXD K-band and write a new file. + + :INPUTS: + fn1 : str + file to be fixed + + fn2 : str + new filename of fixed file. + + :OPTIONS: + clobber : bool + whether to overwrite existing FITS files + + Other options will be passed to :func:`spexsxd_scatter_model` + + :OUTPUTS: + status : int + 0 if a problem, 1 if everything is Okay + """ + # 2011-11-10 13:34 IJMC: Created + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + + if kw.has_key('clobber'): + clobber = kw.pop('clobber') + else: + clobber = False + + try: + dat0 = pyfits.getdata(fn1) + hdr0 = pyfits.getheader(fn1) + except: + print "Could not read one of data or header from %s" % fn1 + return 0 + + try: + hdr0.update('SCAT_FIX', 1, 'SXD Scattered light fixed by spexsxd_scatter_fix()') + except: + print "Could not update header properly." + return 0 + + try: + if hdr0.has_key('ITIME') and not kw.has_key('itime'): + kw['itime'] = hdr0['ITIME'] + mod = spexsxd_scatter_model(dat0, **kw) + except: + print "Could not not model scattered light with spexsxd_scatter_model()" + return 0 + + try: + if not isinstance(mod, np.ndarray): + mod = mod[0] + pyfits.writeto(fn2, dat0 - mod, header=hdr0, clobber=clobber, output_verify='ignore') + except: + print "Could not write updated file to %s; clobber is %s" % (fn2, clobber) + return 0 + + return 1 + + + + +[docs] +def tophat2(param, x): + """Grey-pixel tophat function with set width + param: [cen_pix, amplitude, background] + newparam: [amplitude, full width, cen_pix, background] + x : must be array of ints, arange(0, size-1) + returns the model.""" + # 2011-11-09 21:37 IJMC: Created + import analysis as an + + oversamp = 100. + + x2 = np.linspace(x[0], x[-1], (x.size - 1)*oversamp + 1) + halfwid = np.round(param[1] / 2.).astype(int) + halfwid = param[1] / 2. + intpix, fracpix = int(param[2]), param[2] % 1 + intwid, fracwid = int(halfwid), halfwid % 1 + th2 = 0.0 + param[0] * ((-halfwid <= (x2 - param[2])) * ((x2 - param[2]) < halfwid)) + + th = an.binarray(np.concatenate((th2, np.zeros(oversamp-1))), oversamp) + + return th + param[3] + + +[docs] +def tophat_alt(param, x): + """Standard tophat function (alternative version). + + :INPUTS: + p : sequence + p[0] -- Amplitude + p[1] -- full width dispersion + p[2] -- central offset (mean location) + p[3] -- vertical offset (OPTIONAL) + + x : scalar or sequence + values at which to evaluate function + + :OUTPUTS: + y : scalar or sequence + 1.0 where |x| < 0.5, 0.5 where |x| = 0.5, 0.0 otherwise. + """ + # 2012-04-11 12:50 IJMC: Created + if len(param)==3: + vertical_offset = 0. + elif len(param)>3: + vertical_offset = param[3] + else: + print "Input `param` to function `tophat` requires length > 3." + return -1 + + amplitude, width, center = param[0:3] + + absx = np.abs((x - center) ) + if hasattr(x, '__iter__'): + ret = np.zeros(x.shape, float) + + #ind1 = absx < (0.5*width) + #ret[ind1] = 1.0 + + i0 = np.searchsorted(x, center-width/2) + i1 = np.searchsorted(x, center+width/2) + ret[i0:i1] = 1. + + #ind2 = absx ==(0.5*width) + #ret[ind2] = 0.5 + + else: + if absx < 0.5: + ret = 1.0 + elif absx==0.5: + ret = 0.5 + else: + ret = 0. + + return amplitude * ret + vertical_offset + + +[docs] +def model_resel(param, x): + """Model a spectral resolution element. + + :INPUTS: + param : sequence + + param[0, 1, 2] - amplitude, sigma, and central location of + Gaussian line profile (cf. :func:`analysis.gaussian`). + + param[3, 4, 5] - amplitude, width, and central location of + top-hat-like background (cf. :func:`tophat`). + + param[6::] - additional (constant or polynomial) background + components, for evaluation with :func:`numpy.polyval` + + x : sequence + Values at which to evaluate model function (i.e., pixels). + Typically 1D. + + :OUTPUTS: + line : NumPy array + model of the resolution element, of same shape as `x`. + + :DESCRIPTION: + + Model a spectral resolution element along the spatial + direction. This consists of a (presumably Gaussian) line + profile superimposed on the spectral trace's top-hat-like + background, with an additional constant (or polynomial) + out-of-echelle-order background component. + """ + # 2012-04-11 12:57 IJMC: Created + # 2012-04-12 13:29 IJMC: Try to be more clever and save time in + # the back2 polyval call. + + lineprofile = gaussian(param[0:3], x) + back1 = tophat(param[3:6], x) + + if hasattr(param[6::], '__iter__') and len(param[6::])>1: + back2 = np.polyval(param[6::], x) + else: + back2 = param[6::] + + return lineprofile + back1 + back2 + +[docs] +def add_partial_pixel(x0, y0, z0, z): + """ + :INPUTS: + x0 : int or sequence of ints + first index of z at which data will be added + + y0 : int or sequence of ints + second index of z at which data will be added + + z0 : scalar or sequence + values which will be added to z + + z : 2D NumPy array + initial data, to which partial-pixels will be added + """ + # 2012-04-11 14:24 IJMC: Created + nx, ny = z.shape[0:2] + x = np.arange(nx) + y = np.arange(ny) + dx, dy = 1, 1 + ret = np.array(z, copy=True) + + if hasattr(x0, '__iter__'): + if len(x0)==len(y0) and len(x0)==len(z0): + for x00, y00, z00 in zip(x0, y0, z0): + ret = add_partial_pixel(x00, y00, z00, ret) + else: + print "Inputs x0, y0, and z0 must have the same length!" + ret = -1 + + if False: + if hasattr(x0, '__iter__'): + x0 = np.array(x0, copy=False) + y0 = np.array(y0, copy=False) + z0 = np.array(z0, copy=False) + else: + x0 = np.array([x0]) + y0 = np.array([y0]) + z0 = np.array([z0]) + + ix0 = np.tile(np.vstack((np.floor(x0), np.floor(x0)+1)).astype(int), (2,1)) + iy0 = np.tile(np.vstack((np.floor(y0), np.floor(y0)+1)).astype(int), (2,1)) + + xfrac = x0 % 1 + yfrac = y0 % 1 + + weights0 = np.vstack([(1. - xfrac) * (1. - yfrac), \ + xfrac * (1. - yfrac), \ + (1. - xfrac) * yfrac, \ + xfrac * yfrac]) + + for ii in range(ix0.shape[1]): + print ii, weights0[:,ii]*z0[ii] + ret[ix0[:,ii], iy0[:,ii]] = ret[ix0[:,ii], iy0[:,ii]] + weights0[:,ii]*z0[ii] + + else: + ix0 = map(int, [np.floor(x0), np.floor(x0)+1]*2) + iy0 = map(int, [np.floor(y0)]*2 + [np.floor(y0)+1]*2) + + xfrac = x0 % 1 + yfrac = y0 % 1 + weights0 = [(1. - xfrac) * (1. - yfrac), \ + xfrac * (1. - yfrac), \ + (1. - xfrac) * yfrac, \ + xfrac * yfrac] + ix = [] + iy = [] + weights = [] + for ii in range(4): + #print ix0[ii], iy0[ii], weights0[ii] + if ix0[ii]>=0 and ix0[ii]=0 and iy0[ii]0: + sumweights = sum(weights) + for ii in range(npix): + #print ix[ii], iy[ii], weights[ii] + ret[ix[ii], iy[ii]] += weights[ii] * z0 + + + return ret + + +[docs] +def modelSpectralTrace(param, shape=None, nscat=None, npw=None, npy=None, noy=None, now=None, ndist=None, x=None, y=None, transpose=False): + """Model a raw spectral trace! + + :INPUTS: + + NOTE that most inputs should be in the _rectified_ frame. + + Trace background pedestal level : 1D array + + Width of background pedestarl level : scalar (for now) + + Center of trace : 1D array + + Offset of object spectrum, relative to center : scalar + + width of 1D PSF : scalar + + Area of 1D psf : 1D array + + Distortion (x and y, somehow???) + + Scattered light background : scalar (for now) + """ + # 2012-04-11 17:50 IJMC: Created + + ######################################## + # Parse various inputs: + ######################################## + param = np.array(param, copy=False) + nx, ny = shape + + # Construct pixel vectors: + if x is None: + x = np.arange(nx) + if y is None: + y = np.arange(ny) + + def makevec(input): + if not hasattr(input, '__iter__'): + ret = [input]*ny + #ret = np.polyval([input], y) + elif len(input)==1: + ret = [input[0]]*ny + #ret = np.polyval(input, y) + else: + ret = np.polyval(input, y) + return ret + + # Define all the parameters: + pedestal_level = param[0:ny] + obj_flux = param[ny:ny*2] + pedestal_width = param[ny*2:ny*2+npw] + obj_fwhm = param[ny*2+npw:ny*2+npw+now] + spectrum_yparam = param[ny*2+npw+now : ny*2+npw+now+npy] + obj_yparam = param[ny*2+npw+now+npy : ny*2+npw+now+npy+noy] + disp_distort = param[ny*2+npw+now+npy+noy : ny*2+npw+now+npy+noy+ndist] + scat_param = list(param[-ndist:]) + + + pedestal_width = makevec(pedestal_width) + obj_fwhm = makevec(obj_fwhm) + obj_yloc = makevec(obj_yparam) #, mode='cheby') + spectrum_yloc = makevec(spectrum_yparam) #, mode='cheby') + + ######################################## + # Generate spectral model + ######################################## + + rectified_model = np.zeros((nx, ny), float) + + for ii in range(ny): + obj_param = [obj_flux[ii], obj_fwhm[ii], obj_yloc[ii]] + bkg_param = [pedestal_level[ii], pedestal_width[ii], spectrum_yloc[ii]] + oneDparam = obj_param + bkg_param + scat_param + rectified_model[:, ii] = model_resel(oneDparam, x) + + #ypts = x + #xpts = ii + np.polyval(disp_distort, x-obj_yloc[ii]) + #distorted_model = spec.add_partial_pixel(ypts, xpts, oneD, model) + + interp_model = 0*rectified_model + + if False: + # One way to do it: + newxcoords = (y - np.polyval(disp_distort, (x.reshape(nx,1)-obj_yloc.reshape(1,ny)))) + + meshmod = interpolate.RectBivariateSpline(x, y, rectified_model, kx=1, ky=1, s=0.) + for ii in range(nx): + interp_model[ii,:] = meshmod(x[ii], newxcoords[ii,:]) + + else: + # An alternate (not entirely equivalanet) approach, about equally fast: + shifts = np.polyval(disp_distort, x) + intshifts = np.floor(shifts) + minshift = intshifts.min() + shifts -= minshift + intshifts -= minshift + + for ii in range(nx): + kern = np.zeros(intshifts.max() - intshifts.min()+2, float) + kern[intshifts[ii]] += 1. - (shifts[ii] - intshifts[ii]) + kern[intshifts[ii]+1] += (shifts[ii] - intshifts[ii]) + interp_model[ii] = np.convolve(rectified_model[ii], kern, 'same') + + + return interp_model + + +[docs] +def makeSpexSlitlessSky(skyfns, scatcen=[980, 150], scatdim=[60, 300]): + """ + Generate a normalized Sky frame from SpeX slitless spectroscopy data. + + :INPUTS: + skyfns : list of strs + Filenames of slitless-spectroscopy sky frames + + scatcen : 2-sequence + center of region to use in median-normalizing the frame. + + scatdim : 2-sequence + full width of region to use in median-normalizing the frame. + + :OUTPUTS: + (sky, skyHeader) + """ + # 2012-04-19 09:38 IJMC: Created + import phot + + nsky = len(skyfns) + + skyscat = phot.subreg2(skyfns, center=scatcen, dim=scatdim) + normfact = np.median(skyscat.reshape(nsky, np.prod(scatdim)), 1) + + hdr = pyfits.getheader(skyfns[0]) + + skyframe = np.zeros((hdr['naxis1'], hdr['naxis2']), float) + for skyfn, factor in zip(skyfns, normfact): + skyframe += (pyfits.getdata(skyfn) / factor / nsky) + + hdr.update('SKYRGCEN', str(scatcen)) + hdr.update('SKYRGDIM', str(scatdim)) + hdr.update('SKYNOTE', 'sky frame, median=1 in SKYRG') + + return skyframe, hdr + + + +[docs] +def resamplespec(w1, w0, spec0, oversamp=100): + """ + Resample a spectrum while conserving flux density. + + :INPUTS: + w1 : sequence + new wavelength grid (i.e., center wavelength of each pixel) + + w0 : sequence + old wavelength grid (i.e., center wavelength of each pixel) + + spec0 : sequence + old spectrum (e.g., flux density or photon counts) + + oversamp : int + factor by which to oversample input spectrum prior to + rebinning. The worst fractional precision you achieve is + roughly 1./oversamp. + + :NOTE: + Format is the same as :func:`numpy.interp` + + :REQUIREMENTS: + :doc:`tools` + + """ + from tools import errxy + + # 2012-04-25 18:40 IJMC: Created + nlam = len(w0) + x0 = np.arange(nlam, dtype=float) + x0int = np.arange((nlam-1.)*oversamp + 1., dtype=float)/oversamp + w0int = np.interp(x0int, x0, w0) + spec0int = np.interp(w0int, w0, spec0)/oversamp + + # Set up the bin edges for down-binning + maxdiffw1 = np.diff(w1).max() + w1bins = np.concatenate(([w1[0] - maxdiffw1], + .5*(w1[1::] + w1[0:-1]), \ + [w1[-1] + maxdiffw1])) + # Bin down the interpolated spectrum: + junk, spec1, junk2, junk3 = errxy(w0int, spec0int, w1bins, xmode=None, ymode='sum', xerr=None, yerr=None) + + return spec1 + + + + +#wcoords = spec.wavelengthMatch(mastersky0, wsky, thissky, ethissky, guess=wcoef1, order=None) + +[docs] +def wavelengthMatch(spectrum, wtemplate, template, etemplate, guess=None, nthread=1): + """ + Determine dispersion solution for a spectrum, from a template. + + :INPUTS: + spectrum : 1D sequence + Spectrum for which a wavelength solution is desired. + + wtemplate : 1D sequence + Known wavelength grid of a template spectrum. + + template : 1D sequence + Flux (e.g.) levels of the template spectrum with known + wavelength solution. + + etemplate : 1D sequence + Uncertainties on the template values. This can be important + in a weighted fit! + + :OPTIONS: + guess : sequence + Initial guess for the wavelength solution. This is very + helpful, if you have it! The guess should be a sequence + containing the set of Chebychev polynomial coefficients, + followed by a scale factor and DC offset (to help in scaling + the template). + + If guess is None, attempt to fit a simple linear dispersion relation. + + order : int > 0 + NOT YET IMPLEMENTED! BUT EVENTUALLY: if guess is None, this + sets the polynomial order of the wavelength solution. + + FOR THE MOMENT: if guess is None, return a simple linear + solution. This is likely to fail entirely for strongly + nonlinear dispersion solutions or poorly mismatched template + and spectrum. + + nthread : int > 0 + Number of processors to use for MCMC searching. + + :RETURNS: + (wavelength, wavelength_polynomial_coefficients, full_parameter_set) + + :NOTES: + This implementation uses a rather crude MCMC sampling approach + to sample parameters space and 'home in' on better solutions. + There is probably a way to do this that is both faster and more + optimal... + + Note that if 'spectrum' and 'template' are of different lengths, + the longer one will be trimmed at the end to make the lengths match. + + :REQUIREMENTS: + `emcee `_ + + """ + #2012-04-25 20:53 IJMC: Created + # 2012-09-23 20:17 IJMC: Now spectrum & template can be different length. + # 2013-03-09 17:23 IJMC: Added nthread option + + import emcee + import phasecurves as pc + + nlam_s = len(spectrum) + nlam_t = len(template) + + if nlam_s <= nlam_t: + template = np.array(template, copy=True)[0:nlam_s] + etemplate = np.array(etemplate, copy=True)[0:nlam_s] + nlam = nlam_s + spectrum_trimmed = False + else: # nlam_s > nlam_t: + spectrum0 = np.array(spectrum, copy=True) + spectrum = spectrum0[0:nlam_t] + wtemplate = np.array(wtemplate, copy=True)[0:nlam_t] + nlam = nlam_t + spectrum_trimmed = True + + # Create a normalized vector of coordinates for computing + # normalized polynomials: + dx0 = 1. / (nlam - 1.) + x0n = dx0 * np.arange(nlam) - 1. + #x0n = 2*np.arange(nlam, dtype=float) / (nlam - 1.) - 1 + + + + if guess is None: + # Start with a simple linear wavelength solution. + guess = [np.diff(wtemplate).mean() * len(template)/2, np.mean(wtemplate), np.median(template)/np.median(spectrum), 1.] + + # Define arguments for use by fitting routines: + fitting_args = (makemodel, x0n, spectrum, wtemplate, template, 1./etemplate**2) + + # Try to find an initial best fit: + bestparams = an.fmin(pc.errfunc, guess, args=fitting_args, disp=False) + + # Initial fit is likely a local minimum, so explore parameter + # space using an MCMC approach. + ndim = len(guess) + nwalkers = ndim * 50 + sampler = emcee.EnsembleSampler(nwalkers, ndim, pc.lnprobfunc, args=fitting_args, threads=nthread) + + # Initialize the sampler with various starting positions: + e_params1 = np.vstack((np.array(guess)/10., np.zeros(ndim) + .01)).max(0) + e_params2 = np.vstack((bestparams/10., np.zeros(ndim) + .01)).max(0) + p0 = np.vstack(([guess, bestparams], \ + [np.random.normal(guess, e_params1) for ii in xrange(nwalkers/2-1)], \ + [np.random.normal(bestparams, e_params2) for ii in xrange(nwalkers/2-1)])) + + # Run the sampler for a while: + pos, prob, state = sampler.run_mcmc(p0, 300) # Burn-in + + bestparams = sampler.flatchain[np.nonzero(sampler.lnprobability.ravel()==sampler.lnprobability.ravel().max())[0][0]] + + # Optimize the latest set of best parameters. + bestparams = an.fmin(pc.errfunc, bestparams, args=fitting_args, disp=False) + + dispersionSolution = bestparams[0:-2] + if spectrum_trimmed: + x0n_original = dx0 * np.arange(nlam_s) - 1. + wavelengths = np.polyval(dispersionSolution, x0n_original) + else: + wavelengths = np.polyval(dispersionSolution, x0n) + + return dispersionSolution, wavelengths, bestparams + +[docs] +def makemodel(params, xvec, specvec, wtemplate): + """Helper function for :func:`wavelengthMatch`: generate a scaled, + interpolative model of the template.""" + wcoef = params[0:-2] + scale, offset = params[-2::] + neww = np.polyval(wcoef, xvec) + return offset + scale * np.interp(wtemplate, neww, specvec, left=0, right=0) + + +[docs] +def normalizeSpecFlat(flatdat, nspec=1, minsep=50, median_width=51, readnoise=40, badpixelmask=None, traces=None): + """Trace and normalize a spectroscopic flat field frame. + + :INPUTS: + flatdat : 2D NumPy array + Master, unnormalized flat frame: assumed to be measured in + photoelectrons (for computing uncertainties). + + nspec : int + Number of spectral orders to find and normalize + + minsep : int + Minimum separation, in pixels, between spectral orders that + will be found. + + median_width : int + Width of median-filter kernel used to compute the low- + + readnoise : scalar + Detector read noise, in electrons. For computing uncertainties. + + badpixelmask : 2D NumPy array + bad pixel mask: 1 at bad pixel locations, 0 elsewhere. + + traces : 2D NumPy Array + (nord, pord) shaped numpy array representing the polynomial + coefficients for each order (suitable for use with + np.polyval), as produced by :func:`traceorders` + """ + # 2012-04-28 06:22 IJMC: Created + # 2012-07-24 21:04 IJMC: Now, as a final step, all bad indices are set to unity. + # 2014-12-17 20:07 IJMC: Added 'traces' option + + import analysis as an + from scipy import signal + + if badpixelmask is None: + badpixelmask = np.zeros(flatdat.shape, bool) + + # Enforce positivity and de-weight negative flux values: + e_flatdat = np.sqrt(flatdat + readnoise**2) + badindices = ((flatdat<=0) + badpixelmask).nonzero() + e_flatdat[badindices] = flatdat[badindices] * 1e9 + flatdat[badindices] = 1. + + # Find spectral orders, using derivatives (will probably fail if + # spec. overlaps the edge!): + ordvec = an.meanr(flatdat, axis=1, nsigma=3) + + filtvec = signal.medfilt(ordvec, 9) + dvec1 = np.diff(filtvec) + dvec2 = -np.diff(filtvec) + dvec1[dvec1<0] = 0. + dvec2[dvec2<0] = 0. + + x1 = np.arange(dvec1.size) + available1 = np.ones(dvec1.size, dtype=bool) + available2 = np.ones(dvec1.size, dtype=bool) + + pos1 = [] + pos2 = [] + for ii in range(nspec): + thisx1 = x1[dvec1==dvec1[available1].max()][0] + available1[np.abs(x1 - thisx1) < minsep] = False + pos1.append(thisx1) + thisx2 = x1[dvec2==dvec2[available2].max()][0] + available2[np.abs(x1 - thisx2) < minsep] = False + pos2.append(thisx2) + + limits = np.array(zip(np.sort(pos1), np.sort(pos2))) + # Generate and normalize the spectral traces: + masterflat = np.ones(flatdat.shape, dtype=float) + + if traces is not None: + nx = flatdat.shape[1] + xvec = np.arange(nx) + ymat = np.tile(np.arange(flatdat.shape[0]), (nx, 1)).T + + for ii in range(nspec): + if traces is None: + profvec = np.median(flatdat[limits[ii,0]:limits[ii,1], :], axis=0) + e_profvec = np.sqrt(an.wmean(flatdat[limits[ii,0]:limits[ii,1], :], 1./e_flatdat[limits[ii,0]:limits[ii,1], :]**2, axis=0) / np.diff(limits[ii]))[0] + e_profvec[e_profvec <= 0] = profvec.max()*1e9 + smooth_prof = signal.medfilt(profvec, median_width) + masterflat[limits[ii,0]:limits[ii,1], :] = flatdat[limits[ii,0]:limits[ii,1], :] / smooth_prof + else: + traceloc = np.polyval(traces[ii], xvec) + limind = (limits[:,1] > traceloc.mean()).nonzero()[0][0] + order_ind_2d = ((ymat - traceloc) > (limits[limind,0] - traceloc.mean())) * ((ymat - traceloc) < (limits[limind,1] - traceloc.mean())) + profvec = np.array([np.median(flatdat[order_ind_2d[:,jj], jj]) for jj in xrange(nx)]) + smooth_prof = signal.medfilt(profvec, median_width) + for jj in xrange(nx): + masterflat[order_ind_2d[:,jj],jj] = flatdat[order_ind_2d[:,jj],jj] / smooth_prof[jj] + + + # Ideally, we would do some sort of weighted fitting here. Instead, + # for now, just take a running median: + + masterflat[badindices] = 1. + + return masterflat + + +[docs] +def optspecextr_idl(frame, gain, readnoise, x1, x2, idlexec, clobber=True, tempframefn='tempframe.fits', specfn='tempspec.fits', scriptfn='temp_specextract.pro', IDLoptions="adjfunc='adjgauss', adjoptions={center:1,centerfit:1,centerdeg:3}, bgdeg=3", inmask=None): + """Run optimal spectral extraction in IDL; pass results to Python. + + :INPUTS: + frame : str + filename, or 2D Numpy Array, or list of filenames containing + frames from which spectra will be extracted. This should be + in units of ADU (not electrons) for the noise properties to + come out properly. + + Also, the spectral trace must run vertically across the frame. + + gain : scalar + Detector gain, in electrons / ADU + + readnoise : scalar + Detector read noise, in electrons + + x1, x2 : ints, or lists of ints + Start and stop indices of the spectral trace across the frame. + If multiple frames are input and a single x1/x2 is input, the + same value will be used for each frame. Note however that + multiple x1/x2 can also be input (one for each frame). + + idlexec : str + Path to the IDL executable. OPTSPECEXTR.PRO and its + associated files must be in your IDL path. If set to None, + then it will be set to: os.popen('which idl').read().strip() + + :OPTIONS: + clobber : bool + Whether to overwrite files when writing input data to TEMPFRAMFN. + + tempframefn : str + If input 'frame' is an array, it will be written to this + filename in order to pass it to IDL. + + specfn : str + IDL will write the spectral data to this filename in order to + pass it back to Python. + + scriptfn : str + Filename in which the short IDL script will be written. + + IDLoptions : str + Options to pass to OPTSPECEXTR.PRO. For example: + "adjfunc='adjgauss', adjoptions={center:1,centerfit:1,centerdeg:3}, bgdeg=3" + + Note that this Python code will break if you _don't_ trace + the spectrum (adjoptions, etc.); this is an area for future + work if I ever use a spectrograph with straight traces. + + inmask : None or str + Name of the good pixel mask for OPTSPECEXTR.PRO. Equal to 1 + for good pixels, and 0 for bad pixels. + + :OUTPUTS: + For each input frame, a list of four items: + [0] -- Extracted spectrum, ADU per pixel + [1] -- Uncertainty (1 sigma) of extracted spectrum + [2] -- Location of trace (in pixels) across the frame + [3] -- Width of trace across the frame + + :NOTES: + Note that this more closely follows Horne et al. than does + :func:`optimalExtract`, and is faster than both that function + and (especially!) :func:`extractSpectralProfiles`. The only + downside (if it is one) is that this function requires IDL. + + :TO-DO: + Add options for user input of a variance frame, or of sky variance. + + Allow more flexibility (tracing, input/output options, etc.) + + :REQUIREMENTS: + IDL + + `OPTSPECEXTR `_ + + """ + # 2012-08-18 16:36 IJMC: created + # 2012-08-19 09:39 IJMC: Added 'inmask' option. + + import os + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + + # Put the input frames in the proper format: + if isinstance(frame, np.ndarray): + frameisfilename = False + if frame.ndim==2: + frames = [frame] + elif frame.ndim==1: + print "Input array should be 2D or 3D -- no telling what will happen next!" + else: + frames = frame + else: + frameisfilename = True + if isinstance(frame, str): + frames = [frame] + else: + frames = frame + + if not hasattr(x1, '__iter__'): + x1 = [x1] * len(frames) + if not hasattr(x2, '__iter__'): + x2 = [x2] * len(frames) + + if idlexec is None: + idlexec = os.popen('which idl').read().strip() + + + # Loop through all files: + specs = [] + ii = 0 + for frame in frames: + if frameisfilename: + tempframefn = frame + else: + pyfits.writeto(tempframefn, frame, clobber=clobber) + + # Prepare the temporary IDL script: + idlcmds = [] + idlcmds.append("frame = readfits('%s')\n" % tempframefn) + idlcmds.append("gain = %1.3f\n" % gain) + idlcmds.append("readnoise = %i\n" % readnoise) + idlcmds.append("varim = abs(frame) / gain + readnoise^2\n") + idlcmds.append("x1 = %i & x2 = %i\n" % (x1[ii],x2[ii])) + if inmask is not None: + idlcmds.append("inmask = readfits('%s')\n" % inmask) + IDLoptions += ', inmask=inmask' + idlcmds.append("spec = optspecextr(frame, varim, readnoise, gain, x1, x2, adjparms=adjparm, opvar=opvar, %s)\n" % IDLoptions) + idlcmds.append("spec_err_loc_width = [[spec], [sqrt(opvar)], [adjparm.traceest], [adjparm.widthest]]\n") + idlcmds.append("writefits,'%s', spec_err_loc_width\n" % (specfn)) + idlcmds.append("exit\n") + + + + + + # Write it to disk, and execute it. + f = open(scriptfn, 'w') + f.writelines(idlcmds) + f.close() + os.system('%s %s' % (idlexec, scriptfn)) + + # Read the spectrum into Python, and iterate. + spec = pyfits.getdata(specfn) + specs.append(spec) + ii += 1 + + # Clean up after ourselves: + if not frameisfilename and os.path.isfile(tempframefn): + os.remove(tempframefn) + if os.path.isfile(specfn): + os.remove(specfn) + if os.path.isfile(scriptfn): + os.remove(scriptfn) + + # If only one file was run, we don't need to return a list. + if ii==1: + specs = specs[0] + + return specs + + +[docs] +def optimalExtract(*args, **kw): + """ + Extract spectrum, following Horne 1986. + + :INPUTS: + data : 2D Numpy array + Appropriately calibrated frame from which to extract + spectrum. Should be in units of ADU, not electrons! + + variance : 2D Numpy array + Variances of pixel values in 'data'. + + gain : scalar + Detector gain, in electrons per ADU + + readnoise : scalar + Detector readnoise, in electrons. + + :OPTIONS: + goodpixelmask : 2D numpy array + Equals 0 for bad pixels, 1 for good pixels + + bkg_radii : 2- or 4-sequence + If length 2: inner and outer radii to use in computing + background. Note that for this to be effective, the spectral + trace should be positions in the center of 'data.' + + If length 4: start and end indices of both apertures for + background fitting, of the form [b1_start, b1_end, b2_start, + b2_end] where b1 and b2 are the two background apertures, and + the elements are arranged in strictly ascending order. + + extract_radius : int or 2-sequence + radius to use for both flux normalization and extraction. If + a sequence, the first and last indices of the array to use + for spectral normalization and extraction. + + + dispaxis : bool + 0 for horizontal spectrum, 1 for vertical spectrum + + bord : int >= 0 + Degree of polynomial background fit. + + bsigma : int >= 0 + Sigma-clipping threshold for computing background. + + pord : int >= 0 + Degree of polynomial fit to construct profile. + + psigma : int >= 0 + Sigma-clipping threshold for computing profile. + + csigma : int >= 0 + Sigma-clipping threshold for cleaning & cosmic-ray rejection. + + finite : bool + If true, mask all non-finite values as bad pixels. + + nreject : int > 0 + Number of pixels to reject in each iteration. + + :RETURNS: + 3-tuple: + [0] -- spectrum flux (in electrons) + + [1] -- uncertainty on spectrum flux + + [1] -- background flux + + + :EXAMPLE: + :: + + + :SEE_ALSO: + :func:`superExtract`. + + :NOTES: + Horne's classic optimal extraction algorithm is optimal only so + long as the spectral traces are very nearly aligned with + detector rows or columns. It is *not* well-suited for + extracting substantially tilted or curved traces, for the + reasons described by Marsh 1989, Mukai 1990. For extracting + such spectra, see :func:`superExtract`. + """ + + # 2012-08-20 08:24 IJMC: Created from previous, low-quality version. + # 2012-09-03 11:37 IJMC: Renamed to replace previous, low-quality + # version. Now bkg_radii and extract_radius + # can refer to either a trace-centered + # coordinate system, or the specific + # indices of all aperture edges. Added nreject. + + + from scipy import signal + + # Parse inputs: + frame, variance, gain, readnoise = args[0:4] + + # Parse options: + if kw.has_key('goodpixelmask'): + goodpixelmask = np.array(kw['goodpixelmask'], copy=True).astype(bool) + else: + goodpixelmask = np.ones(frame.shape, dtype=bool) + + if kw.has_key('dispaxis'): + if kw['dispaxis']==1: + frame = frame.transpose() + variance = variance.transpose() + goodpixelmask = goodpixelmask.transpose() + + if kw.has_key('verbose'): + verbose = kw['verbose'] + else: + verbose = False + + if kw.has_key('bkg_radii'): + bkg_radii = kw['bkg_radii'] + else: + bkg_radii = [15, 20] + if verbose: message("Setting option 'bkg_radii' to: " + str(bkg_radii)) + + if kw.has_key('extract_radius'): + extract_radius = kw['extract_radius'] + else: + extract_radius = 10 + if verbose: message("Setting option 'extract_radius' to: " + str(extract_radius)) + + if kw.has_key('bord'): + bord = kw['bord'] + else: + bord = 1 + if verbose: message("Setting option 'bord' to: " + str(bord)) + + if kw.has_key('bsigma'): + bsigma = kw['bsigma'] + else: + bsigma = 3 + if verbose: message("Setting option 'bsigma' to: " + str(bsigma)) + + if kw.has_key('pord'): + pord = kw['pord'] + else: + pord = 2 + if verbose: message("Setting option 'pord' to: " + str(pord)) + + if kw.has_key('psigma'): + psigma = kw['psigma'] + else: + psigma = 4 + if verbose: message("Setting option 'psigma' to: " + str(psigma)) + + if kw.has_key('csigma'): + csigma = kw['csigma'] + else: + csigma = 5 + if verbose: message("Setting option 'csigma' to: " + str(csigma)) + + if kw.has_key('finite'): + finite = kw['finite'] + else: + finite = True + if verbose: message("Setting option 'finite' to: " + str(finite)) + + if kw.has_key('nreject'): + nreject = kw['nreject'] + else: + nreject = 100 + if verbose: message("Setting option 'nreject' to: " + str(nreject)) + + if finite: + goodpixelmask *= (np.isfinite(frame) * np.isfinite(variance)) + + + variance[True-goodpixelmask] = frame[goodpixelmask].max() * 1e9 + nlam, fitwidth = frame.shape + + xxx = np.arange(-fitwidth/2, fitwidth/2) + xxx0 = np.arange(fitwidth) + if len(bkg_radii)==4: # Set all borders of background aperture: + backgroundAperture = ((xxx0 > bkg_radii[0]) * (xxx0 <= bkg_radii[1])) + \ + ((xxx0 > bkg_radii[2]) * (xxx0 <= bkg_radii[3])) + else: # Assume trace is centered, and use only radii. + backgroundAperture = (np.abs(xxx) > bkg_radii[0]) * (np.abs(xxx) <= bkg_radii[1]) + + if hasattr(extract_radius, '__iter__'): + extractionAperture = (xxx0 > extract_radius[0]) * (xxx0 <= extract_radius[1]) + else: + extractionAperture = np.abs(xxx) < extract_radius + + nextract = extractionAperture.sum() + xb = xxx[backgroundAperture] + + #Step3: Sky Subtraction + if bord==0: # faster to take weighted mean: + background = an.wmean(frame[:, backgroundAperture], (goodpixelmask/variance)[:, backgroundAperture], axis=1) + else: + background = 0. * frame + for ii in range(nlam): + fit = an.polyfitr(xb, frame[ii, backgroundAperture], bord, bsigma, w=(goodpixelmask/variance)[ii, backgroundAperture], verbose=verbose-1) + background[ii, :] = np.polyval(fit, xxx) + + # (my 3a: mask any bad values) + badBackground = True - np.isfinite(background) + background[badBackground] = 0. + if verbose and badBackground.any(): + print "Found bad background values at: ", badBackground.nonzero() + + skysubFrame = frame - background + + + #Step4: Extract 'standard' spectrum and its variance + standardSpectrum = nextract * an.wmean(skysubFrame[:, extractionAperture], goodpixelmask[:, extractionAperture], axis=1) + varStandardSpectrum = nextract * an.wmean(variance[:, extractionAperture], goodpixelmask[:, extractionAperture], axis=1) + + # (my 4a: mask any bad values) + badSpectrum = True - (np.isfinite(standardSpectrum)) + standardSpectrum[badSpectrum] = 1. + varStandardSpectrum[badSpectrum] = varStandardSpectrum[True - badSpectrum].max() * 1e9 + + + #Step5: Construct spatial profile; enforce positivity & normalization + normData = skysubFrame / standardSpectrum + varNormData = variance / standardSpectrum**2 + + + # Iteratively clip outliers + newBadPixels = True + iter = -1 + if verbose: print "Looking for bad pixel outliers in profile construction." + xl = np.linspace(-1., 1., nlam) + + while newBadPixels: + iter += 1 + + + if pord==0: # faster to take weighted mean: + profile = np.tile(an.wmean(normData, (goodpixelmask/varNormData), axis=0), (nlam,1)) + else: + profile = 0. * frame + for ii in range(fitwidth): + fit = an.polyfitr(xl, normData[:, ii], pord, np.inf, w=(goodpixelmask/varNormData)[:, ii], verbose=verbose-1) + profile[:, ii] = np.polyval(fit, xl) + + if profile.min() < 0: + profile[profile < 0] = 0. + profile /= profile.sum(1).reshape(nlam, 1) + + #Step6: Revise variance estimates + modelData = standardSpectrum * profile + background + variance = (np.abs(modelData)/gain + (readnoise/gain)**2) / \ + (goodpixelmask + 1e-9) # Avoid infinite variance + + outlierSigmas = (frame - modelData)**2/variance + if outlierSigmas.max() > psigma**2: + maxRejectedValue = max(psigma**2, np.sort(outlierSigmas[:, extractionAperture].ravel())[-nreject]) + worstOutliers = (outlierSigmas>=maxRejectedValue).nonzero() + goodpixelmask[worstOutliers] = False + newBadPixels = True + numberRejected = len(worstOutliers[0]) + else: + newBadPixels = False + numberRejected = 0 + + if verbose: print "Rejected %i pixels on this iteration " % numberRejected + + #Step5: Construct spatial profile; enforce positivity & normalization + varNormData = variance / standardSpectrum**2 + + if verbose: print "%i bad pixels found" % iter + + + # Iteratively clip Cosmic Rays + newBadPixels = True + iter = -1 + if verbose: print "Looking for bad pixel outliers in optimal extraction." + while newBadPixels: + iter += 1 + + #Step 8: Extract optimal spectrum and its variance + gp = goodpixelmask * profile + denom = (gp * profile / variance)[:, extractionAperture].sum(1) + spectrum = ((gp * skysubFrame / variance)[:, extractionAperture].sum(1) / denom).reshape(nlam, 1) + varSpectrum = (gp[:, extractionAperture].sum(1) / denom).reshape(nlam, 1) + + + #Step6: Revise variance estimates + modelData = spectrum * profile + background + variance = (np.abs(modelData)/gain + (readnoise/gain)**2) / \ + (goodpixelmask + 1e-9) # Avoid infinite variance + + + #Iterate until worse outliers are all identified: + outlierSigmas = (frame - modelData)**2/variance + if outlierSigmas.max() > csigma**2: + maxRejectedValue = max(csigma**2, np.sort(outlierSigmas[:, extractionAperture].ravel())[-nreject]) + worstOutliers = (outlierSigmas>=maxRejectedValues).nonzero() + goodpixelmask[worstOutliers] = False + newBadPixels = True + numberRejected = len(worstOutliers[0]) + else: + newBadPixels = False + numberRejected = 0 + + if verbose: print "Rejected %i pixels on this iteration " % numberRejected + + + if verbose: print "%i bad pixels found" % iter + + ret = (spectrum, varSpectrum, profile, background, goodpixelmask) + + return ret + + + +[docs] +def superExtract(*args, **kw): + """ + Optimally extract curved spectra, following Marsh 1989. + + :INPUTS: + data : 2D Numpy array + Appropriately calibrated frame from which to extract + spectrum. Should be in units of ADU, not electrons! + + variance : 2D Numpy array + Variances of pixel values in 'data'. + + gain : scalar + Detector gain, in electrons per ADU + + readnoise : scalar + Detector readnoise, in electrons. + + :OPTIONS: + trace : 1D numpy array + location of spectral trace. If None, :func:`traceorders` is + invoked. + + goodpixelmask : 2D numpy array + Equals 0 for bad pixels, 1 for good pixels + + npoly : int + Number of profile polynomials to evaluate (Marsh's + "K"). Ideally you should not need to set this -- instead, + play with 'polyspacing' and 'extract_radius.' For symmetry, + this should be odd. + + polyspacing : scalar + Spacing between profile polynomials, in pixels. (Marsh's + "S"). A few cursory tests suggests that the extraction + precision (in the high S/N case) scales as S^-2 -- but the + code slows down as S^2. + + pord : int + Order of profile polynomials; 1 = linear, etc. + + bkg_radii : 2-sequence + inner and outer radii to use in computing background + + extract_radius : int + radius to use for both flux normalization and extraction + + dispaxis : bool + 0 for horizontal spectrum, 1 for vertical spectrum + + bord : int >= 0 + Degree of polynomial background fit. + + bsigma : int >= 0 + Sigma-clipping threshold for computing background. + + tord : int >= 0 + Degree of spectral-trace polynomial (for trace across frame + -- not used if 'trace' is input) + + csigma : int >= 0 + Sigma-clipping threshold for cleaning & cosmic-ray rejection. + + finite : bool + If true, mask all non-finite values as bad pixels. + + qmode : str ('fast' or 'slow') + How to compute Marsh's Q-matrix. Valid inputs are + 'fast-linear', 'slow-linear', 'fast-nearest,' 'slow-nearest,' + and 'brute'. These select between various methods of + integrating the nearest-neighbor or linear interpolation + schemes as described by Marsh; the 'linear' methods are + preferred for accuracy. Use 'slow' if you are running out of + memory when using the 'fast' array-based methods. 'Brute' is + both slow and inaccurate, and should not be used. + + nreject : int + Number of outlier-pixels to reject at each iteration. + + retall : bool + If true, also return the 2D profile, background, variance + map, and bad pixel mask. + + :RETURNS: + object with fields for: + spectrum + + varSpectrum + + trace + + + :EXAMPLE: + :: + + import spec + import numpy as np + import pylab as py + + def gaussian(p, x): + if len(p)==3: + p = concatenate((p, [0])) + return (p[3] + p[0]/(p[1]*sqrt(2*pi)) * exp(-(x-p[2])**2 / (2*p[1]**2))) + + # Model some strongly tilted spectral data: + nx, nlam = 80, 500 + x0 = np.arange(nx) + gain, readnoise = 3.0, 30. + background = np.ones(nlam)*10 + flux = np.ones(nlam)*1e4 + center = nx/2. + np.linspace(0,10,nlam) + FWHM = 3. + model = np.array([gaussian([flux[ii]/gain, FWHM/2.35, center[ii], background[ii]], x0) for ii in range(nlam)]) + varmodel = np.abs(model) / gain + (readnoise/gain)**2 + observation = np.random.normal(model, np.sqrt(varmodel)) + fitwidth = 60 + xr = 15 + + output_spec = spec.superExtract(observation, varmodel, gain, readnoise, polyspacing=0.5, pord=1, bkg_radii=[10,30], extract_radius=5, dispaxis=1) + + py.figure() + py.plot(output_spec.spectrum.squeeze() / flux) + py.ylabel('(Measured flux) / (True flux)') + py.xlabel('Photoelectrons') + + + + :TO_DO: + Iterate background fitting and reject outliers; maybe first time + would be unweighted for robustness. + + Introduce even more array-based, rather than loop-based, + calculations. For large spectra computing the C-matrix takes + the most time; this should be optimized somehow. + + :SEE_ALSO: + + """ + + # 2012-08-25 20:14 IJMC: Created. + # 2012-09-21 14:32 IJMC: Added error-trapping if no good pixels + # are in a row. Do a better job of extracting + # the initial 'standard' spectrum. + + from scipy import signal + from pylab import * + from nsdata import imshow, bfixpix + + + + # Parse inputs: + frame, variance, gain, readnoise = args[0:4] + + frame = gain * np.array(frame, copy=False) + variance = gain**2 * np.array(variance, copy=False) + variance[variance<=0.] = readnoise**2 + + # Parse options: + if kw.has_key('verbose'): + verbose = kw['verbose'] + else: + verbose = False + if verbose: from time import time + + + if kw.has_key('goodpixelmask'): + goodpixelmask = kw['goodpixelmask'] + if isinstance(goodpixelmask, str): + goodpixelmask = pyfits.getdata(goodpixelmask).astype(bool) + else: + goodpixelmask = np.array(goodpixelmask, copy=True).astype(bool) + else: + goodpixelmask = np.ones(frame.shape, dtype=bool) + + + if kw.has_key('dispaxis'): + dispaxis = kw['dispaxis'] + else: + dispaxis = 0 + + if dispaxis==0: + frame = frame.transpose() + variance = variance.transpose() + goodpixelmask = goodpixelmask.transpose() + + + if kw.has_key('pord'): + pord = kw['pord'] + else: + pord = 2 + + if kw.has_key('polyspacing'): + polyspacing = kw['polyspacing'] + else: + polyspacing = 1 + + if kw.has_key('bkg_radii'): + bkg_radii = kw['bkg_radii'] + else: + bkg_radii = [15, 20] + if verbose: message("Setting option 'bkg_radii' to: " + str(bkg_radii)) + + if kw.has_key('extract_radius'): + extract_radius = kw['extract_radius'] + else: + extract_radius = 10 + if verbose: message("Setting option 'extract_radius' to: " + str(extract_radius)) + + if kw.has_key('npoly'): + npoly = kw['npoly'] + else: + npoly = 2 * int((2.0 * extract_radius) / polyspacing / 2.) + 1 + + if kw.has_key('bord'): + bord = kw['bord'] + else: + bord = 1 + if verbose: message("Setting option 'bord' to: " + str(bord)) + + if kw.has_key('tord'): + tord = kw['tord'] + else: + tord = 3 + if verbose: message("Setting option 'tord' to: " + str(tord)) + + if kw.has_key('bsigma'): + bsigma = kw['bsigma'] + else: + bsigma = 3 + if verbose: message("Setting option 'bsigma' to: " + str(bsigma)) + + if kw.has_key('csigma'): + csigma = kw['csigma'] + else: + csigma = 5 + if verbose: message("Setting option 'csigma' to: " + str(csigma)) + + if kw.has_key('qmode'): + qmode = kw['qmode'] + else: + qmode = 'fast' + if verbose: message("Setting option 'qmode' to: " + str(qmode)) + + if kw.has_key('nreject'): + nreject = kw['nreject'] + else: + nreject = 100 + if verbose: message("Setting option 'nreject' to: " + str(nreject)) + + if kw.has_key('finite'): + finite = kw['finite'] + else: + finite = True + if verbose: message("Setting option 'finite' to: " + str(finite)) + + + if kw.has_key('retall'): + retall = kw['retall'] + else: + retall = False + + + if finite: + goodpixelmask *= (np.isfinite(frame) * np.isfinite(variance)) + + variance[True-goodpixelmask] = frame[goodpixelmask].max() * 1e9 + nlam, fitwidth = frame.shape + + # Define trace (Marsh's "X_j" in Eq. 9) + if kw.has_key('trace'): + trace = kw['trace'] + else: + trace = None + + if trace is None: + trace = 5 + if not hasattr(trace, '__iter__'): + if verbose: print "Tracing not fully tested; dispaxis may need adjustment." + #pdb.set_trace() + tracecoef = traceorders(frame, pord=trace, nord=1, verbose=verbose-1, plotalot=verbose-1, g=gain, rn=readnoise, badpixelmask=True-goodpixelmask, dispaxis=dispaxis, fitwidth=min(fitwidth, 80)) + trace = np.polyval(tracecoef.ravel(), np.arange(nlam)) + + + #xxx = np.arange(-fitwidth/2, fitwidth/2) + #backgroundAperture = (np.abs(xxx) > bkg_radii[0]) * (np.abs(xxx) < bkg_radii[1]) + #extractionAperture = np.abs(xxx) < extract_radius + #nextract = extractionAperture.sum() + #xb = xxx[backgroundAperture] + + xxx = np.arange(fitwidth) - trace.reshape(nlam,1) + backgroundApertures = (np.abs(xxx) > bkg_radii[0]) * (np.abs(xxx) <= bkg_radii[1]) + extractionApertures = np.abs(xxx) <= extract_radius + + nextracts = extractionApertures.sum(1) + + #Step3: Sky Subtraction + background = 0. * frame + for ii in range(nlam): + if goodpixelmask[ii, backgroundApertures[ii]].any(): + fit = an.polyfitr(xxx[ii,backgroundApertures[ii]], frame[ii, backgroundApertures[ii]], bord, bsigma, w=(goodpixelmask/variance)[ii, backgroundApertures[ii]], verbose=verbose-1) + background[ii, :] = np.polyval(fit, xxx[ii]) + else: + background[ii] = 0. + + background_at_trace = np.array([np.interp(0, xxx[j], background[j]) for j in range(nlam)]) + + # (my 3a: mask any bad values) + badBackground = True - np.isfinite(background) + background[badBackground] = 0. + if verbose and badBackground.any(): + print "Found bad background values at: ", badBackground.nonzero() + + skysubFrame = frame - background + + + # Interpolate and fix bad pixels for extraction of standard + # spectrum -- otherwise there can be 'holes' in the spectrum from + # ill-placed bad pixels. + fixSkysubFrame = bfixpix(skysubFrame, True-goodpixelmask, n=8, retdat=True) + + #Step4: Extract 'standard' spectrum and its variance + standardSpectrum = np.zeros((nlam, 1), dtype=float) + varStandardSpectrum = np.zeros((nlam, 1), dtype=float) + for ii in range(nlam): + thisrow_good = extractionApertures[ii] #* goodpixelmask[ii] * + standardSpectrum[ii] = fixSkysubFrame[ii, thisrow_good].sum() + varStandardSpectrum[ii] = variance[ii, thisrow_good].sum() + + + spectrum = standardSpectrum.copy() + varSpectrum = varStandardSpectrum + + # Define new indices (in Marsh's appendix): + N = pord + 1 + mm = np.tile(np.arange(N).reshape(N,1), (npoly)).ravel() + nn = mm.copy() + ll = np.tile(np.arange(npoly), N) + kk = ll.copy() + pp = N * ll + mm + qq = N * kk + nn + + jj = np.arange(nlam) # row (i.e., wavelength direction) + ii = np.arange(fitwidth) # column (i.e., spatial direction) + jjnorm = np.linspace(-1, 1, nlam) # normalized X-coordinate + jjnorm_pow = jjnorm.reshape(1,1,nlam) ** (np.arange(2*N-1).reshape(2*N-1,1,1)) + + # Marsh eq. 9, defining centers of each polynomial: + constant = 0. # What is it for??? + poly_centers = trace.reshape(nlam, 1) + polyspacing * np.arange(-npoly/2+1, npoly/2+1) + constant + + + # Marsh eq. 11, defining Q_kij (via nearest-neighbor interpolation) + # Q_kij = max(0, min(S, (S+1)/2 - abs(x_kj - i))) + if verbose: tic = time() + if qmode=='fast-nearest': # Array-based nearest-neighbor mode. + if verbose: tic = time() + Q = np.array([np.zeros((npoly, fitwidth, nlam)), np.array([polyspacing * np.ones((npoly, fitwidth, nlam)), 0.5 * (polyspacing+1) - np.abs((poly_centers - ii.reshape(fitwidth, 1, 1)).transpose(2, 0, 1))]).min(0)]).max(0) + + elif qmode=='slow-linear': # Code is a mess, but it works. + invs = 1./polyspacing + poly_centers_over_s = poly_centers / polyspacing + xps_mat = poly_centers + polyspacing + xms_mat = poly_centers - polyspacing + Q = np.zeros((npoly, fitwidth, nlam), dtype=float) + for i in range(fitwidth): + ip05 = i + 0.5 + im05 = i - 0.5 + for j in range(nlam): + for k in range(npoly): + xkj = poly_centers[j,k] + xkjs = poly_centers_over_s[j,k] + xps = xps_mat[j,k] #xkj + polyspacing + xms = xms_mat[j,k] # xkj - polyspacing + + if (ip05 <= xms) or (im05 >= xps): + qval = 0. + elif (im05) > xkj: + lim1 = im05 + lim2 = min(ip05, xps) + qval = (lim2 - lim1) * \ + (1. + xkjs - 0.5*invs*(lim1+lim2)) + elif (ip05) < xkj: + lim1 = max(im05, xms) + lim2 = ip05 + qval = (lim2 - lim1) * \ + (1. - xkjs + 0.5*invs*(lim1+lim2)) + else: + lim1 = max(im05, xms) + lim2 = min(ip05, xps) + qval = lim2 - lim1 + \ + invs * (xkj*(-xkj + lim1 + lim2) - \ + 0.5*(lim1*lim1 + lim2*lim2)) + Q[k,i,j] = max(0, qval) + + + elif qmode=='fast-linear': # Code is a mess, but it's faster than 'slow' mode + invs = 1./polyspacing + xps_mat = poly_centers + polyspacing + Q = np.zeros((npoly, fitwidth, nlam), dtype=float) + for j in range(nlam): + xkj_vec = np.tile(poly_centers[j,:].reshape(npoly, 1), (1, fitwidth)) + xps_vec = np.tile(xps_mat[j,:].reshape(npoly, 1), (1, fitwidth)) + xms_vec = xps_vec - 2*polyspacing + + ip05_vec = np.tile(np.arange(fitwidth) + 0.5, (npoly, 1)) + im05_vec = ip05_vec - 1 + ind00 = ((ip05_vec <= xms_vec) + (im05_vec >= xps_vec)) + ind11 = ((im05_vec > xkj_vec) * (True - ind00)) + ind22 = ((ip05_vec < xkj_vec) * (True - ind00)) + ind33 = (True - (ind00 + ind11 + ind22)).nonzero() + ind11 = ind11.nonzero() + ind22 = ind22.nonzero() + + n_ind11 = len(ind11[0]) + n_ind22 = len(ind22[0]) + n_ind33 = len(ind33[0]) + + if n_ind11 > 0: + ind11_3d = ind11 + (np.ones(n_ind11, dtype=int)*j,) + lim2_ind11 = np.array((ip05_vec[ind11], xps_vec[ind11])).min(0) + Q[ind11_3d] = ((lim2_ind11 - im05_vec[ind11]) * invs * \ + (polyspacing + xkj_vec[ind11] - 0.5*(im05_vec[ind11] + lim2_ind11))) + + if n_ind22 > 0: + ind22_3d = ind22 + (np.ones(n_ind22, dtype=int)*j,) + lim1_ind22 = np.array((im05_vec[ind22], xms_vec[ind22])).max(0) + Q[ind22_3d] = ((ip05_vec[ind22] - lim1_ind22) * invs * \ + (polyspacing - xkj_vec[ind22] + 0.5*(ip05_vec[ind22] + lim1_ind22))) + + if n_ind33 > 0: + ind33_3d = ind33 + (np.ones(n_ind33, dtype=int)*j,) + lim1_ind33 = np.array((im05_vec[ind33], xms_vec[ind33])).max(0) + lim2_ind33 = np.array((ip05_vec[ind33], xps_vec[ind33])).min(0) + Q[ind33_3d] = ((lim2_ind33 - lim1_ind33) + invs * \ + (xkj_vec[ind33] * (-xkj_vec[ind33] + lim1_ind33 + lim2_ind33) - 0.5*(lim1_ind33*lim1_ind33 + lim2_ind33*lim2_ind33))) + + + elif qmode=='brute': # Neither accurate, nor memory-frugal. + oversamp = 4. + jj2 = np.arange(nlam*oversamp, dtype=float) / oversamp + trace2 = np.interp(jj2, jj, trace) + poly_centers2 = trace2.reshape(nlam*oversamp, 1) + polyspacing * np.arange(-npoly/2+1, npoly/2+1, dtype=float) + constant + x2 = np.arange(fitwidth*oversamp, dtype=float)/oversamp + Q = np.zeros((npoly, fitwidth, nlam), dtype=float) + for k in range(npoly): + Q[k,:,:] = an.binarray((np.abs(x2.reshape(fitwidth*oversamp,1) - poly_centers2[:,k]) <= polyspacing), oversamp) + + Q /= oversamp*oversamp*2 + + else: # 'slow' Loop-based nearest-neighbor mode: requires less memory + if verbose: tic = time() + Q = np.zeros((npoly, fitwidth, nlam), dtype=float) + for k in range(npoly): + for i in range(fitwidth): + for j in range(nlam): + Q[k,i,j] = max(0, min(polyspacing, 0.5*(polyspacing+1) - np.abs(poly_centers[j,k] - i))) + + if verbose: print '%1.2f s to compute Q matrix (%s mode)' % (time() - tic, qmode) + + + # Some quick math to find out which dat columns are important, and + # which contain no useful spectral information: + Qmask = Q.sum(0).transpose() > 0 + Qind = Qmask.transpose().nonzero() + Q_cols = [Qind[0].min(), Qind[0].max()] + nQ = len(Qind[0]) + Qsm = Q[:,Q_cols[0]:Q_cols[1]+1,:] + + # Prepar to iteratively clip outliers + newBadPixels = True + iter = -1 + if verbose: print "Looking for bad pixel outliers." + while newBadPixels: + iter += 1 + if verbose: print "Beginning iteration %i" % iter + + + # Compute pixel fractions (Marsh Eq. 5): + # (Note that values outside the desired polynomial region + # have Q=0, and so do not contribute to the fit) + #E = (skysubFrame / spectrum).transpose() + invEvariance = (spectrum**2 / variance).transpose() + weightedE = (skysubFrame * spectrum / variance).transpose() # E / var_E + invEvariance_subset = invEvariance[Q_cols[0]:Q_cols[1]+1,:] + + # Define X vector (Marsh Eq. A3): + if verbose: tic = time() + X = np.zeros(N * npoly, dtype=float) + X0 = np.zeros(N * npoly, dtype=float) + for q in qq: + X[q] = (weightedE[Q_cols[0]:Q_cols[1]+1,:] * Qsm[kk[q],:,:] * jjnorm_pow[nn[q]]).sum() + if verbose: print '%1.2f s to compute X matrix' % (time() - tic) + + # Define C matrix (Marsh Eq. A3) + if verbose: tic = time() + C = np.zeros((N * npoly, N*npoly), dtype=float) + + buffer = 1.1 # C-matrix computation buffer (to be sure we don't miss any pixels) + for p in pp: + qp = Qsm[ll[p],:,:] + for q in qq: + # Check that we need to compute C: + if np.abs(kk[q] - ll[p]) <= (1./polyspacing + buffer): + if q>=p: + # Only compute over non-zero columns: + C[q, p] = (Qsm[kk[q],:,:] * qp * jjnorm_pow[nn[q]+mm[p]] * invEvariance_subset).sum() + if q>p: + C[p, q] = C[q, p] + + + if verbose: print '%1.2f s to compute C matrix' % (time() - tic) + + ################################################## + ################################################## + # Just for reference; the following is easier to read, perhaps, than the optimized code: + if False: # The SLOW way to compute the X vector: + X2 = np.zeros(N * npoly, dtype=float) + for n in nn: + for k in kk: + q = N * k + n + xtot = 0. + for i in ii: + for j in jj: + xtot += E[i,j] * Q[k,i,j] * (jjnorm[j]**n) / Evariance[i,j] + X2[q] = xtot + + # Compute *every* element of C (though most equal zero!) + C = np.zeros((N * npoly, N*npoly), dtype=float) + for p in pp: + for q in qq: + if q>=p: + C[q, p] = (Q[kk[q],:,:] * Q[ll[p],:,:] * (jjnorm.reshape(1,1,nlam)**(nn[q]+mm[p])) / Evariance).sum() + if q>p: + C[p, q] = C[q, p] + ################################################## + ################################################## + + # Solve for the profile-polynomial coefficients (Marsh Eq. A)4: + if np.abs(np.linalg.det(C)) < 1e-10: + Bsoln = np.dot(np.linalg.pinv(C), X) + else: + Bsoln = np.linalg.solve(C, X) + + Asoln = Bsoln.reshape(N, npoly).transpose() + + # Define G_kj, the profile-defining polynomial profiles (Marsh Eq. 8) + Gsoln = np.zeros((npoly, nlam), dtype=float) + for n in range(npoly): + Gsoln[n] = np.polyval(Asoln[n,::-1], jjnorm) # reorder polynomial coef. + + + # Compute the profile (Marsh eq. 6) and normalize it: + if verbose: tic = time() + profile = np.zeros((fitwidth, nlam), dtype=float) + for i in range(fitwidth): + profile[i,:] = (Q[:,i,:] * Gsoln).sum(0) + + #P = profile.copy() # for debugging + if profile.min() < 0: + profile[profile < 0] = 0. + profile /= profile.sum(0).reshape(1, nlam) + profile[True - np.isfinite(profile)] = 0. + if verbose: print '%1.2f s to compute profile' % (time() - tic) + + #Step6: Revise variance estimates + modelSpectrum = spectrum * profile.transpose() + modelData = modelSpectrum + background + variance0 = np.abs(modelData) + readnoise**2 + variance = variance0 / (goodpixelmask + 1e-9) # De-weight bad pixels, avoiding infinite variance + + outlierVariances = (frame - modelData)**2/variance + + if outlierVariances.max() > csigma**2: + newBadPixels = True + # Base our nreject-counting only on pixels within the spectral trace: + maxRejectedValue = max(csigma**2, np.sort(outlierVariances[Qmask])[-nreject]) + worstOutliers = (outlierVariances>=maxRejectedValue).nonzero() + goodpixelmask[worstOutliers] = False + numberRejected = len(worstOutliers[0]) + #pdb.set_trace() + else: + newBadPixels = False + numberRejected = 0 + + if verbose: print "Rejected %i pixels on this iteration " % numberRejected + + + # Optimal Spectral Extraction: (Horne, Step 8) + fixSkysubFrame = bfixpix(skysubFrame, True-goodpixelmask, n=8, retdat=True) + spectrum = np.zeros((nlam, 1), dtype=float) + #spectrum1 = np.zeros((nlam, 1), dtype=float) + varSpectrum = np.zeros((nlam, 1), dtype=float) + goodprof = profile.transpose() #* goodpixelmask + for ii in range(nlam): + thisrow_good = extractionApertures[ii] #* goodpixelmask[ii] + denom = (goodprof[ii, thisrow_good] * profile.transpose()[ii, thisrow_good] / variance0[ii, thisrow_good]).sum() + if denom==0: + spectrum[ii] = 0. + varSpectrum[ii] = 9e9 + else: + spectrum[ii] = (goodprof[ii, thisrow_good] * skysubFrame[ii, thisrow_good] / variance0[ii, thisrow_good]).sum() / denom + #spectrum1[ii] = (goodprof[ii, thisrow_good] * modelSpectrum[ii, thisrow_good] / variance0[ii, thisrow_good]).sum() / denom + varSpectrum[ii] = goodprof[ii, thisrow_good].sum() / denom + #if spectrum.size==1218 and ii>610: + # pdb.set_trace() + + #if spectrum.size==1218: pdb.set_trace() + + ret = baseObject() + ret.spectrum = spectrum + ret.raw = standardSpectrum + ret.varSpectrum = varSpectrum + ret.trace = trace + ret.units = 'electrons' + ret.background = background_at_trace + + ret.function_name = 'spec.superExtract' + + if retall: + ret.profile_map = profile + ret.extractionApertures = extractionApertures + ret.background_map = background + ret.variance_map = variance0 + ret.goodpixelmask = goodpixelmask + ret.function_args = args + ret.function_kw = kw + + return ret + + + + + +[docs] +def spextractor(frame, gain, readnoise, framevar=None, badpixelmask=None, mode='superExtract', trace=None, options=None, trace_options=None, verbose=False): + """Extract a spectrum from a frame using one of several methods. + + :INPUTS: + frame : 2D Numpy array or filename + Contains a single spectral trace. + + gain : None or scalar + Gain of data contained in 'frame;' i.e., number of collected + photoelectrons equals frame * gain. + + readnoise : None or scalar + Read noise of detector, in electrons. + + framevar : None, 2D Numpy array, or filename + Variance of values in 'frame.' + + If and only if framevar is None, use gain and readnoise to + compute variance. + + badpixelmask : None, 2D Numpy array, or filename + Mask of bad pixels in 'frame.' Bad pixels are set to 1, good + pixels are set to 0. + + mode : str + Which spectral extraction mode to use. Options are: + + superExtract -- see :func:`superExtract` + + optimalExtract -- see :func:`optimalExtract` + + spline -- see :func:`extractSpectralProfiles` + Must also input trace_options. + + trace : None, or 1D Numpy Array + Spectral trace location: fractional pixel index along the + entire spectral trace. If None, :func:`traceorders` will be + called using the options in 'trace_options.' + + options : None or dict + Keyword options to be passed to the appropriate spectral + extraction algorithm. Note that you should be able to pass the + same sets of parameters to :func:`superExtract` and + :func:`optimalExtract` (the necessary parameter sets overlap, + but are not identical). + + trace_options : None or dict + Keyword options to be passed to :func:`traceorders` (if no + trace is input, or if mode='spline') + + + :RETURNS: + spectrum, error or variance of spectrum, sky background, ... + + :NOTES: + When 'optimalextract' is used: if len(bkg_radii)==2 then the + background apertures will be reset based on the median location + of the trace. If extract_radius is a singleton, it will be + similarly redefined. + + :EXAMPLE: + :: + + frame = pyfits.getdata('spectral_filename.fits') + gain, readnoise = 3.3, 30 + output = spec.spextractor(frame, gain, readnoise, mode='superExtract', \ + options=dict(bord=2, bkg_radii=[20, 30], extract_radius=15, \ + polyspacing=1./3, pord=5, verbose=True, trace=trace, \ + qmode='slow-linear')) + + output2 = spec.spextractor(frame, gain, readnoise, mode='optimalExtract', \ + options=dict(bkg_radii=[20,30], extract_radius=15, bord=2, \ + bsigma=3, pord=3, psigma=8, csigma=5, verbose=1)) + + + """ + # 2012-09-03 11:12 IJMC: Created + from tools import array_or_filename + + # Parse inputs: + frame = array_or_filename(frame) + framevar = array_or_filename(framevar, noneoutput=np.abs(frame) / gain + (readnoise / gain)**2) + + if options is None: + options = dict(dispaxis=0) + + + if verbose and not options.has_key('verbose'): + options['verbose'] = verbose + + if trace is None: + if trace_options is None: + trace_options = dict(pord=2) + if not trace_options.has_key('dispaxis'): + if options.has_key('dispaxis'): trace_options['dispaxis'] = options['dispaxis'] + + trace_coef = traceorders(frame, **trace_options) + trace = np.polyval(trace_coef.ravel(), np.arange(frame.shape[1-options['dispaxis']])) + + options['trace'] = trace + + ################################################## + # Extract spectrum in one of several ways: + ################################################## + if mode.lower()=='superextract': + ret = superExtract(frame, framevar, gain, readnoise, **options) + + elif mode.lower()=='spline': + # First, set things up: + try: + trace_coef += 0.0 + except: + trace_coef = np.polyfit(np.arange(trace.size), trace, trace_options['pord']).reshape(1, trace_options['pord']+1) + trace_options['retall'] = True + + if not trace_options.has_key('bkg_radii'): + if options.has_key('bkg_radii') and len(options['bkg_radii'])==2: + trace_options['bkg_radii'] = options['bkg_radii'] + if not trace_options.has_key('extract_radius'): + if options.has_key('extract_radius') and not hasattr(options['extract_radius'], '__iter__'): + trace_options['extract_radius'] = options['extract_radius'] + + prof = makeprofile(frame, trace_coef, **trace_options) + + ret = extractSpectralProfiles(prof, **trace_options) + + + elif mode.lower()=='optimalextract': + # First, re-define bkg_radii and extract_radius (if necessary): + options = dict().update(options) # prevents alterations of options + if options.has_key('bkg_radii') and len(options['bkg_radii'])==2: + t0 = np.median(trace) + bkg_radii = [t0-options['bkg_radii'][1], t0-options['bkg_radii'][0], + t0+options['bkg_radii'][0], t0+options['bkg_radii'][1]] + options['bkg_radii'] = bkg_radii + if verbose: print "Re-defining background apertures: ", bkg_radii + + if options.has_key('extract_radius') and \ + (not hasattr(options['extract_radius'], '__iter__') or \ + (len(options['extract_radius'])==1)): + extract_radius = [t0 - options['extract_radius'], \ + t0 + options['extract_radius']] + options['extract_radius'] = extract_radius + if verbose: print "Re-defining extraction aperture: ", extract_radius + + ret = optimalExtract(frame, framevar, gain, readnoise, **options) + + else: + print "No valid spectral extraction mode specified!" + ret = -1 + + + return ret + + +[docs] +def scaleSpectralSky_pca(frame, skyframes, variance=None, mask=None, badpixelmask=None, npca=3, gain=3.3, readnoise=30): + """ + Use PCA and blank sky frames to subtract + + frame : str or NumPy array + data frame to subtract sky from. Assumed to be in ADU, not + electrons (see gain and readnoise) + + npca : int + number of PCA components to remove + + f0 = pyfits.getdata(odome.procsci[0]) + mask = pyfits.getdata(odome._proc + 'skyframes_samplemask.fits').astype(bool) + badpixelmask = pyfits.getdata( odome.badpixelmask).astype(bool) + + + The simplest way to fit sky to a 'frame' containing bright + spectral is to include the spectral-trace regions in 'mask' but + set the 'variance' of those regions extremely high (to de-weight + them in the least-squares fit). + + To use for multi-object data, consider running multiple times + (once per order) + + Returns the best-fit sky frame as determined from the first 'npca' + PCA components. + """ + # 2012-09-17 16:41 IJMC: Created + + from scipy import sparse + from pcsa import pca + + # Parse inputs + if not isinstance(frame, np.ndarray): + frame = pyfits.getdata(frame) + + if variance is None: + variance = np.abs(frame)/gain + (readnoise/gain)**2 + else: + variance = np.array(variance, copy=False) + weights = 1./variance + + nx, ny = frame.shape + n_tot = nx*ny + + if badpixelmask is None: + badpixelmask = np.zeros((nx, ny), dtype=bool) + elif isinstance(badpixelmask, str): + badpixelmask = pyfits.getdata(badpixelmask).astype(bool) + else: + badpixelmask = np.array(badpixelmask).astype(bool) + weights[badpixelmask] = 0. + + + if mask is None: + mask = np.ones(frame.shape, dtype=bool) + n_elem = n_tot + else: + n_elem = mask.astype(bool).sum() + maskind = mask.nonzero() + + if isinstance(skyframes, np.ndarray) and skyframes.ndim==3: + pass + else: + skyframes = np.array([pyfits.getdata(fn) for fn in skyframes]) + + skyframes_ind = np.array([sf[maskind] for sf in skyframes]) + + frame_ind = frame[maskind] + pcaframes = np.zeros((npca, n_elem), dtype=np.float32) + iter = 0 + + pcas = [] + for jj in range(npca): + pcas.append(pca(skyframes_ind, None, ord=jj+1)) + pcaframes[0] = pcas[0][0][0] + for jj in range(1, npca): + pcaframes[jj] = (pcas[jj][0] - pcas[jj-1][0])[0] + +# del pcas + + svecs = sparse.csr_matrix(pcaframes).transpose() + fitcoef, efitcoef = an.lsqsp(svecs, frame_ind, weights[maskind]) + skyvalues = (fitcoef.reshape(npca, 1) * pcaframes).sum(0) + #eskyvalues = (np.diag(efitcoef).reshape(npca, 1) * pcaframes).sum(0) + + skyframe = np.zeros((nx, ny), dtype=float) + skyframe[maskind] = skyvalues + return skyframe + +[docs] +def scaleSpectralSky_dsa(subframe, variance=None, badpixelmask=None, nk=31, pord=1, nmed=3, gain=3.3, readnoise=30, dispaxis=0, spatial_index=None): + """ + Use difference-imaging techniques to subtract moderately tilted + sky background. Doesn't work so well! + + subframe : NumPy array + data subframe containing sky data to be subtracted (and, + perhaps, an object's spectral trace). Assumed to be in ADU, not + electrons (see gain and readnoise) + + variance : None or NumPy array + variance of each pixel in 'subframe' + + nmed : int + size of 2D median filter + + pord : int + degree of spectral tilt. Keep this number low! + + nk : int + Number of kernel pixels in :func:`dia.dsa` + + nmed : int + Size of window for 2D median filter (to reject bad pixels, etc.) + + dispaxis : int + set dispersion axis: 0 = horizontal and 1 = vertical + + gain, readnoise : ints + If 'variance' is None, these are used to estimate the uncertainties. + + spatial_index : None, or 1D NumPy array of type bool + Which spatial rows (if dispaxis=0) to use when fitting the tilt + of sky lines across the spectrum. If you want to use all, set + to None. If you want to ignore some (e.g., because there's a + bright object's spectrum there) then set those rows' elements + of spatial_index to 'False'. + + :NOTES: + Note that (in my experience!) this approach works better when + you set all weights to unity, rather than using the suggested + (photon + read noise) variances. + + + Returns the best-fit sky frame. + """ + # 2012-09-17 16:41 IJMC: Created + + from scipy import signal + import dia + + # Parse inputs + if not isinstance(subframe, np.ndarray): + subframe = pyfits.getdata(subframe) + + if variance is None: + variance = np.abs(subframe)/gain + (readnoise/gain)**2 + else: + variance = np.array(variance, copy=False) + weights = 1./variance + + if badpixelmask is None: + badpixelmask = np.zeros(subframe.shape, dtype=bool) + elif isinstance(badpixelmask, str): + badpixelmask = pyfits.getdata(badpixelmask).astype(bool) + else: + badpixelmask = np.array(badpixelmask).astype(bool) + weights[badpixelmask] = 0. + + if dispaxis==1: + subframe = subframe.transpose() + variance = variance.transpose() + weights = weights.transpose() + badpixelmask = badpixelmask.transpose() + + sub = subframe + if nmed > 1: + ss = signal.medfilt2d(sub, nmed) + else: + ss = sub.copy() + ref = np.median(ss, axis=0) + + n, nlam = ss.shape + if spatial_index is None: + spatial_index = np.arange(n) + else: + spatial_index = np.array(spatial_index, copy=False).nonzero() + + + gaussianpar = np.zeros((n, 4)) + for ii in range(n): + test = dia.dsa(ref, ss[ii], nk, w=weights[ii], noback=True) + gaussianpar[ii] = fitGaussian(test[1])[0] + + position_fit = an.polyfitr(np.arange(n)[spatial_index], gaussianpar[:,2][spatial_index], pord, 3) + positions = np.polyval(position_fit, np.arange(n)) + width_fit = np.median(gaussianpar[:,1]) + + skyframe = 0*ss + testDC_spec = np.ones(nlam) + testx = np.arange(nk, dtype=float) + lsqfits = np.zeros((n,2)) + for ii in range(n): + testgaussian = gaussian([1, width_fit, positions[ii], 0.], testx) + testgaussian /= testgaussian.sum() + testspectrum = dia.rconvolve1d(ref, testgaussian) + skyframe[ii] = testspectrum + + if dispaxis==1: + skyframe = skyframe.transpose() + + return skyframe + + + +[docs] +def scaleSpectralSky_cor(subframe, badpixelmask=None, maxshift=20, fitwidth=2, pord=1, nmed=3, dispaxis=0, spatial_index=None, refpix=None, tord=2): + """ + Use cross-correlation to subtract tilted sky backgrounds. + + subframe : NumPy array + data subframe containing sky data to be subtracted (and, + perhaps, an object's spectral trace). + + badpixelmask : None or NumPy array + A boolean array, equal to zero for good pixels and unity for bad + pixels. If this is set, the first step will be a call to + :func:`nsdata.bfixpix` to interpolate over these values. + + nmed : int + size of 2D median filter for pre-smoothing. + + pord : int + degree of spectral tilt. Keep this number low! + + maxshift : int + Maximum acceptable shift. NOT YET IMPLEMENTED! + + fitwidth : int + Maximum radius (in pixels) for fitting to the peak of the + cross-correlation. + + nmed : int + Size of window for 2D median filter (to reject bad pixels, etc.) + + dispaxis : int + set dispersion axis: 0 = horizontal and 1 = vertical + + spatial_index : None, or 1D NumPy array of type *bool* + Which spatial rows (if dispaxis=0) to use when fitting the tilt + of sky lines across the spectrum. If you want to use all, set + to None. If you want to ignore some (e.g., because there's a + bright object's spectrum there) then set those rows' elements + of spatial_index to 'False'. + + refpix : scalar + Pixel along spatial axis to which spectral fits should be + aligned; if a spectral trace is present, one should set + "refpix" to the location of the trace. + + tord : int + Order of polynomial fits along spatial direction in aligned + 2D-spectral frame, to account for misalignments or + irregularities of tilt direction. + + :RETURNS: + a model of the sky background, of the same shape as 'subframe.' + """ + # 2012-09-22 17:04 IJMC: Created + # 2012-12-27 09:53 IJMC: Edited to better account for sharp edges + # in backgrounds. + + from scipy import signal + from nsdata import bfixpix + + # Parse inputs + if not isinstance(subframe, np.ndarray): + subframe = pyfits.getdata(subframe) + + if badpixelmask is None: + pass + else: + badpixelmask = np.array(badpixelmask).astype(bool) + subframe = bfixpix(subframe, badpixelmask, retdat=True) + + if dispaxis==1: + subframe = subframe.transpose() + + # Define necessary variables and vectors: + npix, nlam = subframe.shape + if spatial_index is None: + spatial_index = np.ones(npix, dtype=bool) + else: + spatial_index = np.array(spatial_index, copy=False) + if refpix is None: + refpix = npix/2. + + lampix = np.arange(nlam) + tpix = np.arange(npix) + alllags = np.arange(nlam-maxshift*2) - np.floor(nlam/2 - maxshift) + + # Median-filter the input data: + if nmed > 1: + ssub = signal.medfilt2d(subframe, nmed) + else: + ssub = subframe.copy() + ref = np.median(ssub, axis=0) + + + #allcor = np.zeros((npix, nlam-maxshift*2)) + shift = np.zeros(npix, dtype=float) + for ii in tpix: + # Cross-correlate to measure alignment at each row: + cor = np.correlate(ref[maxshift:-maxshift], signal.medfilt(ssub[ii], nmed)[maxshift:-maxshift], mode='same') + # Measure offset of each row: + maxind = alllags[(cor==cor.max())].mean() + fitind = np.abs(alllags - maxind) <= fitwidth + quadfit = np.polyfit(alllags[fitind], cor[fitind], 2) + shift[ii] = -0.5 * quadfit[1] / quadfit[0] + + shift_polyfit = an.polyfitr(tpix[spatial_index], shift[spatial_index], pord, 3) #, w=weights) + refpos = np.polyval(shift_polyfit, refpix) + #pdb.set_trace() + fitshift = np.polyval(shift_polyfit, tpix) - refpos + + # Interpolate each row to a common frame to create an improved reference: + newssub = np.zeros((npix, nlam)) + for ii in tpix: + newssub[ii] = np.interp(lampix, lampix+fitshift[ii], ssub[ii]) + + #pdb.set_trace() + newref = np.median(newssub[spatial_index,:], axis=0) + + tfits = np.zeros((nlam, tord+1), dtype=float) + newssub2 = np.zeros((npix, nlam)) + for jj in range(nlam): + tfits[jj] = an.polyfitr(tpix, newssub[:,jj], tord, 3) + newssub2[:, jj] = np.polyval(tfits[jj], tpix) + + + # Create the final model of the sky background: + skymodel = np.zeros((npix, nlam), dtype=float) + shiftmodel = np.zeros((npix, nlam), dtype=float) + for ii in tpix: + #skymodel[ii] = np.interp(lampix, lampix-fitshift[ii], newref) + skymodel[ii] = np.interp(lampix, lampix-fitshift[ii], newssub2[ii]) + shiftmodel[ii] = np.interp(lampix, lampix+fitshift[ii], ssub[ii]) + + #pdb.set_trace() + + if dispaxis==1: + skymodel = skymodel.transpose() + + return skymodel, shiftmodel, newssub, newssub2 + + + + + +[docs] +def defringe_sinusoid(subframe, badpixelmask=None, nmed=5, dispaxis=0, spatial_index=None, period_limits=[20, 100], retall=False, gain=None, readnoise=None, bictest=False, sinonly=False): + """ + Use simple fitting to subtract fringes and sky background. + + subframe : NumPy array + data subframe containing sky data to be subtracted (and, + perhaps, an object's spectral trace). Assumed to be in ADU, not + electrons (see gain and readnoise) + + nmed : int + Size of window for 2D median filter (to reject bad pixels, etc.) + + dispaxis : int + set dispersion axis: 0 = horizontal and 1 = vertical + + spatial_index : None, or 1D NumPy array of type bool + Which spatial rows (if dispaxis=0) to use when fitting the tilt + of sky lines across the spectrum. If you want to use all, set + to None. If you want to ignore some (e.g., because there's a + bright object's spectrum there) then set those rows' elements + of spatial_index to 'False'. + + period_limits : 2-sequence + Minimum and maximum periods (in pixels) of fringe signals to + accept as 'valid.' Resolution elements with best-fit periods + outside this range will only be fit by a linear trend. + + gain : scalar + Gain of detector, in electrons per ADU (where 'subframe' is in + units of ADUs). + + readnoise : scalar + Readnoise of detector, in electrons (where 'subframe' is in + units of ADUs). + + bictest : bool + If True, use 'gain' and 'readnoise' to compute the Bayesian + Information Criterion (BIC) for each fit; a sinusoid is only + removed if BIC(sinusoid fit) is lower than BIC(constant fit). + + sinonly : bool + If True, the output "model 2D spectrum" will only contain the + sinusoidal component. Otherwise, it will contain DC and + linear-trend terms. + + :NOTES: + Note that (in my experience!) this approach works better when + you set all weights to unity, rather than using the suggested + (photon + read noise) variances. + + :REQUIREMENTS: + :doc:`analysis` (for :func:`analysis.fmin`) + + :doc:`phasecurves` (for :func:`phasecurves.errfunc`) + + :doc:`lomb` (for Lomb-Scargle periodograms) + + SciPy 'signal' module (for median-filtering) + + + Returns the best-fit sky frame. + """ + # 2012-09-19 16:22 IJMC: Created + # 2012-12-16 15:11 IJMC: Made some edits to fix bugs, based on outlier indexing. + + from scipy import signal + import lomb + from analysis import fmin # scipy.optimize.fmin would also be O.K. + from phasecurves import errfunc + + twopi = np.pi*2 + + fudgefactor = 1.5 + + def ripple(params, x): # Sinusoid + constant offset + if params[1]==0: + ret = 0.0 + else: + ret = params[0] * np.cos(twopi*x/params[1] - params[2]) + params[3] + return ret + + def linripple(params, x): # Sinusoid + linear trend + if params[1]==0: + ret = 0.0 + else: + ret = params[0] * np.cos(twopi*x/params[1] - params[2]) + params[3] + params[4]*x + return ret + + # Parse inputs + if not isinstance(subframe, np.ndarray): + subframe = pyfits.getdata(subframe) + + if gain is None: gain = 1 + if readnoise is None: readnoise = 1 + + if badpixelmask is None: + badpixelmask = np.zeros(subframe.shape, dtype=bool) + elif isinstance(badpixelmask, str): + badpixelmask = pyfits.getdata(badpixelmask).astype(bool) + else: + badpixelmask = np.array(badpixelmask).astype(bool) + + if dispaxis==1: + subframe = subframe.transpose() + badpixelmask = badpixelmask.transpose() + + sub = subframe + if nmed > 1: + sdat = signal.medfilt2d(sub, nmed) + else: + sdat = sub.copy() + + if bictest: + var_sdat = np.abs(sdat)/gain + (readnoise/gain)**2 + + npix, nlam = sdat.shape + if spatial_index is None: + spatial_index = np.ones(npix, dtype=bool) + else: + spatial_index = np.array(spatial_index, copy=False).astype(bool) + + ############################## + + periods = np.logspace(0.5, np.log10(npix), npix*2) + + x = np.arange(npix) + allfits = np.zeros((nlam, 5)) + + for jj in range(nlam): + vec = sdat[:, jj].copy() + this_index = spatial_index * (True - badpixelmask[:, jj]) + + #if jj==402: pdb.set_trace() + if this_index.sum() > 1: + # LinFit the data; exclude values inconsistent with a sinusoid: + linfit = an.polyfitr(x[this_index], vec[this_index], 1, 3) + linmodel = (x) * linfit[0] + linfit[1] + vec2 = vec - (linmodel - linfit[1]) + maxexcursion = an.dumbconf(vec2[this_index], .683)[0] * (fudgefactor / .88) + index = this_index * (np.abs(vec2 - np.median(vec2[this_index])) <= (6*maxexcursion)) + + # Use Lomb-Scargle to find strongest period: + #lsp = lomb.lomb(vec2[index], x[index], twopi/periods) + freqs, lsp = lomb.fasper(x[index], vec2[index], 12., 0.5) + guess_period = (1./freqs[lsp==lsp.max()]).mean() + # If the best-fit period is within our limits, fit it: + if (guess_period <= period_limits[1]) and (guess_period >= period_limits[0]): + #periods2 = np.arange(guess_period-1, guess_period+1, 0.02) + #lsp2 = lomb.lomb(vec2[index], x[index], twopi/periods2) + #guess_period = periods2[lsp2==lsp2.max()].mean() + guess_dc = np.median(vec2[index]) + guess_amp = an.dumbconf(vec2[index], .683, mid=guess_dc)[0] / 0.88 + guess = [guess_amp, guess_period, np.pi, guess_dc] + if bictest: + w = 1./var_sdat[:,jj][index] + else: + w = np.ones(index.sum()) + + fit = fmin(errfunc, guess, args=(ripple, x[index], vec2[index], w), full_output=True, disp=False) + guess2 = np.concatenate((fit[0], [linfit[0]])) + fit2 = fmin(errfunc, guess2, args=(linripple, x[index], vec[index], w), full_output=True, disp=False) + if bictest: + ripple_model = linripple(fit2[0], x) + bic_ripple = (w*(vec - ripple_model)[index]**2).sum() + 6*np.log(index.sum()) + bic_linfit = (w*(vec - linmodel)[index]**2).sum() + 2*np.log(index.sum()) + #if jj==546: + # pdb.set_trace() + if bic_ripple >= bic_linfit: + fit2 = [[0, 1e9, 0, linfit[1], linfit[0]], 0] + + + + else: # Clearly not a valid ripple -- just use the linear fit. + fit2 = [[0, 1e11, 0, linfit[1], linfit[0]], 0] + + else: # *NO* good pixels! + #linfit = an.polyfitr(x[spatial_index], vec[spatial_index], 1, 3) + + fit2 = [[0, 1e11, 0, np.median(vec[spatial_index]), 0], 0] + + allfits[jj] = fit2[0] + + + # Median filter the resulting coefficients + if nmed > 1: # No median-filtering + newfits = np.array([signal.medfilt(fits, nmed) for fits in allfits.transpose()]).transpose() + newfits[:, 2] = allfits[:,2] # Don't smooth phase + else: + newfits = allfits + + # Generate the model sky pattern + skymodel = np.zeros((npix, nlam)) + for jj in range(nlam): + if sinonly: + coef = newfits[jj].copy() + coef[3:] = 0. + else: + coef = newfits[jj] + skymodel[:, jj] = linripple(coef, x) + + + if dispaxis==1: + skymodel = skymodel.transpose() + + + if retall: + ret = skymodel, allfits + else: + ret = skymodel + + return ret + + + +# + +[docs] +def makexflat(subreg, xord, nsigma=3, minsnr=10, minfrac=0.5, niter=1): + """Helper function for XXXX. + + :INPUTS: + subreg : 2D NumPy array + spectral subregion, containing spectral background, sky, + and/or target flux measurements. + + xord : scalar or sequence + Order of polynomial by which each ROW will be normalized. If + niter>0, xord can be a sequence of length (niter+1). A good + approach for, e.g., spectral dome flats is to set niter=1 and + xord=[15,2]. + + nsigma : scalar + Sigma-clipping level for calculation of column-by-column S/N + + minsnr : scalar + Minimum S/N value to use when selecting 'good' columns for + normalization. + + minfrac : scalar, 0 < minfrac < 1 + Fraction of columns to use, selected by highest S/N, when + selecting 'good' columns for normalization. + + niter : int + Number of iterations. If set to zero, do not iterate (i.e., + run precisely once through.) + + :NOTES: + Helper function for functions XXXX + """ + # 2013-01-20 14:20 IJMC: Created + + ny, nx = subreg.shape + xall = np.arange(2048.) + subreg_new = subreg.copy() + + iter = 0 + if not hasattr(xord, '__iter__'): xord = [xord]*(niter+1) + while iter <= niter: + snr = an.snr(subreg_new, axis=0, nsigma=nsigma) + ind = (snr > np.sort(snr)[-int(minfrac*snr.size)]) * (snr > minsnr) + xxx = ind.nonzero()[0] + norm_subreg = subreg[:,ind] / np.median(subreg[:,ind], 0) + coefs = np.array([an.polyfitr(xxx, row, xord[iter], 3) for row in norm_subreg]) + xflat = np.array([np.polyval(coef0, xall) for coef0 in coefs]) + iter += 1 + subreg_new = subreg / xflat + return xflat + + + +[docs] +def make_spectral_flats(sky, domeflat, subreg_corners, badpixelmask=None, xord_pix=[15,2], xord_sky=[2,1], yord=2, minsnr=5, minfrac_pix=0.7, minfrac_sky=0.5, locs=None, nsigma=3): + """ + Construct appropriate corrective frames for multi-object + spectrograph data. Specifically: corrections for irregular slit + widths, and pixel-by-pixel detector sensitivity variations. + + sky : 2D NumPy array + Master spectral sky frame, e.g. from median-stacking many sky + frames or masking-and-stacking dithered science spectra frames. + This frame is used to construct a map to correct science frames + (taken with the identical slit mask!) for irregular sky + backgrounds resulting from non-uniform slit widths (e.g., + Keck/MOSFIRE). + + Note that the dispersion direction should be 'horizontal' + (i.e., parallel to rows) in this frames. + + domeflat : 2D NumPy array + Master dome spectral flat, e.g. from median-stacking many dome + spectra. This need not be normalized in the dispersion or + spatial directions. This frame is used to construct a flat map + of the pixel-to-pixel variations in detector sensitivity. + + Note that the dispersion direction should be 'horizontal' + (i.e., parallel to rows) in this frames. + + subreg_corners : sequence of 2- or 4-sequences + Indices (or merely starting- and ending-rows) for each + subregion of interest in 'sky' and 'domeflat' frames. Syntax + should be that of :func:`tools.extractSubregion`, or such that + subreg=sky[subreg_corners[0]:subreg_corners[1]] + + badpixelmask : 2D NumPy array, or str + Nonzero for any bad pixels; these will be interpolated over + using :func:`nsdata.bfixpix`. + + xord_pix : sequence + Polynomial orders for normalization in dispersion direction of + pixel-based flat (dome flat) on successive iterations; see + :func:`makexflat`. + + xord_sky : sequence + Polynomial orders for normalization in dispersion direction of + slit-based correction (sky frame) on successive iterations; + see :func:`makexflat`. + + yord : scalar + Polynomial order for normalization of pixel-based (dome) flat + in spatial direction. + + locs : None, or sequence + Row-index in each subregion of the location of the + spectral-trace-of-interest. Only used for rectifying of sky + frame; leaving this at None will have at most a mild + effect. If not None, should be the same length as + subreg_corners. If subreg_corners[0] = [800, 950] then + locs[0] might be set to, e.g., 75 if the trace lies in the + middle of the subregion. + + + :RETURNS: + wideslit_skyflat, narrowslit_domeflat + + :EXAMPLE: + :: + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + import spec + import ir + + obs = ir.initobs('20121010') + sky = pyfits.getdata(obs._raw + 'masktersky.fits') + domeflat = pyfits.getdata(obs._raw + 'mudflat.fits') + allinds = [[7, 294], [310, 518], [532, 694], [710, 960], [976, 1360], [1378, 1673], [1689, 2022]] + locs = [221, 77, 53, 88, 201, 96, 194] + + skycorrect, pixcorrect = spec.make_spectral_flats(sky, domeflat, allinds, obs.badpixelmask, locs=locs) + """ + # 2013-01-20 14:40 IJMC: Created + from tools import extractSubregion + from nsdata import bfixpix + + # Check inputs: + if not isinstance(sky, np.ndarray): + sky = pyfits.getdata(sky) + if not isinstance(domeflat, np.ndarray): + domeflat = pyfits.getdata(domeflat) + + ny0, nx0 = sky.shape + + if badpixelmask is None: + badpixelmask = np.zeros((ny0, nx0), dtype=bool) + if not isinstance(badpixelmask, np.ndarray): + badpixelmask = pyfits.getdata(badpixelmask) + + # Correct any bad pixels: + if badpixelmask.any(): + bfixpix(sky, badpixelmask) + bfixpix(domeflat, badpixelmask) + + wideslit_skyflat = np.ones((ny0, nx0), dtype=float) + narrowslit_domeflat = np.ones((ny0, nx0), dtype=float) + + # Loop through all subregions specified: + for jj in range(len(subreg_corners)): + # Define extraction & alignment indices: + specinds = np.array(subreg_corners[jj]).ravel().copy() + if len(specinds)==2: + specinds = np.concatenate(([0, nx0], specinds)) + if locs is None: + loc = np.mean(specinds[2:4]) + else: + loc = locs[jj] + + skysub = extractSubregion(sky, specinds, retall=False) + domeflatsub = extractSubregion(domeflat, specinds, retall=False) + badsub = extractSubregion(badpixelmask, specinds, retall=False) + ny, nx = skysub.shape + yall = np.arange(ny) + + # Normalize Dome Spectral Flat in X-direction (rows): + xflat_dome = makexflat(domeflatsub, xord_pix, minsnr=minsnr, minfrac=minfrac_pix, niter=len(xord_pix)-1, nsigma=nsigma) + ymap = domeflatsub*0.0 + xsubflat = domeflatsub / np.median(domeflatsub, 0) / xflat_dome + + # Normalize Dome Spectral Flat in Y-direction (columns): + ycoefs = [an.polyfitr(yall, xsubflat[:,ii], yord, nsigma) for ii in range(nx)] + yflat = np.array([np.polyval(ycoef0, yall) for ycoef0 in ycoefs]).transpose() + pixflat = domeflatsub / (xflat_dome * yflat * np.median(domeflatsub, 0)) + bogus = (pixflat< 0.02) + (pixflat > 50) + pixflat[bogus] = 1. + + # Normalize Sky spectral Flat in X-direction (rows): + askysub = scaleSpectralSky_cor(skysub/pixflat, badsub, pord=2, refpix=loc, nmed=1) + xflat_sky = makexflat(askysub[1], xord_sky, minsnr=minsnr, minfrac=minfrac_sky, niter=len(xord_sky)-1, nsigma=nsigma) + + wideslit_skyflat[specinds[2]:specinds[3], specinds[0]:specinds[1]] = xflat_sky + narrowslit_domeflat[specinds[2]:specinds[3], specinds[0]:specinds[1]] = pixflat + + print "Done with subregion %i" % (jj+1) + + return wideslit_skyflat, narrowslit_domeflat + + +[docs] +def calibrate_stared_mosfire_spectra(scifn, outfn, skycorrect, pixcorrect, subreg_corners, **kw): + """Correct non-dithered WIDE-slit MOSFIRE spectral frames for: + pixel-to-pixel nonuniformities (i.e., traditional flat-fielding) + + detector nonlinearities + + tilted spectral lines + + non-uniform slit widths (which cause non-smooth backgrounds) + + Note that the dispersion direction should be 'horizontal' + (i.e., parallel to rows) in this frame. + + :INPUTS: + scifn : str + Filename of raw, uncalibrated science frame (in ADUs, not electrons) + + outfn : str + Name into which final, calibrated file should be written. + + skycorrect : str or 2D NumPy array + Slitloss correction map (i.e., for slits of nonuniform width), + such as generated by :func:`make_spectral_flats`. + + pixcorrect : str or 2D NumPy array + Pixel-by-pixel sensitivity correction map (i.e., flat field), + such as generated by :func:`make_spectral_flats`. + + subreg_corners : sequence of 2- or 4-sequences + Indices (or merely starting- and ending-rows) for each + subregion of interest in 'sky' and 'domeflat' frames. Syntax + should be that of :func:`tools.extractSubregion`, or such that + subreg=sky[subreg_corners[0]:subreg_corners[1]] + + linearize : bool + Whether to linearity-correct the data. + + If linearizing: linearity correction is computed & applied + AFTER applying the pixel-by-pixel (flatfield) correction, but + BEFORE the slitloss (sky) correction. + + + + bkg_radii : 2-sequence + Inner and outer radius for background computation and removal; + measured in pixels from the center of the profile. The values + [11,52] seems to work well for MOSFIRE K-band spectra. + + locs : None, or sequence + Row-index in each subregion of the location of the + spectral-trace-of-interest. Only used for rectifying of sky + frame; leaving this at None will have at most a mild + effect. If not None, should be the same length as + subreg_corners. If subreg_corners[0] = [800, 950] then + locs[0] might be set to, e.g., 75 if the trace lies in the + middle of the subregion. + + gain: scalar + Detector gain, in electrons per ADU + + readnoise: scalar + Detector readnoise, in electrons + + polycoef : str, None, or sequence + Polynomial coefficients for detector linearization: see + :func:`ir.linearity_correct` and :func:`ir.linearity_mosfire`. + + unnormalized_flat : str or 2D NumPy array + If not 'None', this is used to define the subregion header + keywords ('subreg0', 'subreg1', etc.) for each slit's + two-dimensional spectrum. These keywords are required by much + of my extraction machinery! + + + :EXAMPLE: + :: + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + import spec + import ir + + obs = ir.initobs('20121010') + allinds = [[7, 294], [310, 518], [532, 694], [710, 960], [976, 1360], [1378, 1673], [1689, 2022]] + locs = [221, 77, 53, 88, 201, 96, 194] + unnorm_flat_fn = obs._raw + 'mudflat.fits' + if False: + sky = pyfits.getdata(obs._raw + 'masktersky.fits') + unnorm_domeflat = pyfits.getdata(unnorm_flat_fn) + skycorrect, pixcorrect = spec.make_spectral_flats(sky, unnorm_domeflat, allinds, badpixelmask=obs.badpixelmask, locs=locs) + else: + skycorrect = obs._raw + 'skycorrect.fits' + pixcorrect = obs._raw + 'pixcorrect.fits' + + linearcoef='/Users/ianc/proj/transit/data/mosfire_linearity/linearity/mosfire_linearity_cnl_coefficients_bic-optimized.fits' + rawfn = obs.rawsci + outfn = obs.procsci + spec.calibrate_stared_mosfire_spectra(rawfn, outfn, skycorrect, pixcorrect, allinds, linearize=True, badpixelmask=obs.badpixelmask, locs=locs, polycoef=linearcoef, verbose=True, clobber=True, unnormalized_flat=unnorm_flat_fn) + + :NOTES: + This routine is *slow*, mostly because of the call to + :func:`defringe_sinusoid`. Consider running multiple processes + in parallel, to speed things up! + + :SEE_ALSO: + :func:`ir.mosfire_speccal`, :func:`defringe_sinusoid` + """ + # 2013-01-20 16:17 IJMC: Created. + # 2013-01-25 15:59 IJMC: Fixed various bugs relating to + # determinations of subregion boundaries. + + + try: + from astropy.io import fits as pyfits + except: + import pyfits + + from nsdata import bfixpix + import ir + import os + from tools import extractSubregion, findRectangles + import sys + + #pdb.set_trace() + + if not isinstance(scifn, str) and hasattr(scifn, '__iter__'): + for scifn0, outfn0 in zip(scifn, outfn): + calibrate_stared_mosfire_spectra(scifn0, outfn0, skycorrect, pixcorrect, subreg_corners, **kw) + + else: + # Set defaults: + names = ['linearize', 'bkg_radii', 'gain', 'readnoise', 'polycoef', 'verbose', 'badpixelmask', 'locs', 'clobber', 'unnormalized_flat'] + defaults = [False, [11, 52], 2.15, 21.1, None, False, None, None, False, None] + for n,d in zip(names, defaults): + exec('%s = kw["%s"] if kw.has_key("%s") else d' % (n, n, n)) + + + # Check inputs: + scihdr = pyfits.getheader(scifn) + sci = pyfits.getdata(scifn) + exptime = scihdr['TRUITIME'] + ncoadd = scihdr['COADDONE'] + nread = scihdr['READDONE'] + + if not isinstance(pixcorrect, np.ndarray): + scihdr.update('SLITFLAT', pixcorrect) + pixcorrect = pyfits.getdata(pixcorrect) + else: + scihdr.update('PIXFLAT', 'User-specified data array') + + if not isinstance(skycorrect, np.ndarray): + scihdr.update('SLITFLAT', skycorrect) + skycorrect = pyfits.getdata(skycorrect) + else: + scihdr.update('SLITFLAT', 'User-specified data array') + + if unnormalized_flat is not None: + if not isinstance(unnormalized_flat, np.ndarray): + scihdr.update('MUDFLAT', unnormalized_flat) + unnormalized_flat = pyfits.getdata(unnormalized_flat) + else: + scihdr.update('MUDFLAT', 'User-specified data array') + + ny0, nx0 = sci.shape + + if badpixelmask is None: + badpixelmask = np.zeros((ny0, nx0), dtype=bool) + if not isinstance(badpixelmask, np.ndarray): + badpixelmask = pyfits.getdata(badpixelmask) + + # Correct any bad pixels: + if badpixelmask.any(): + bfixpix(sci, badpixelmask) + + if linearize: + # If you edit this section, be sure to update the same + # section in ir.mosfire_speccal! + fmap = ir.makefmap_mosfire() + sci_lin, liniter = ir.linearity_correct(sci/pixcorrect, nread-1, ncoadd, 1.45, exptime, fmap, ir.linearity_mosfire, verbose=verbose, linfuncargs=dict(polycoef=polycoef), retall=True) + ir.hdradd(scihdr, 'COMMENT', 'Linearity-corrected by calibrate_stared_mosfire_spectra.') + ir.hdradd(scihdr, 'LIN_ITER', liniter) + if isinstance(polycoef, str): + ir.hdradd(scihdr, 'LINPOLY', os.path.split(polycoef)[1]) + else: + if isinstance(polycoef, np.ndarray) and polycoef.ndim==3: + ir.hdradd(scihdr, 'LINPOLY', 'user-input array used for linearity correction.') + else: + ir.hdradd(scihdr, 'LINPOLY', str(polycoef)) + + else: + sci_lin = sci/pixcorrect + ir.hdradd(scihdr, 'COMMENT', 'NOT linearity-corrected.') + + + newframe = np.zeros((ny0, nx0), dtype=float) + + + # Loop through all subregions specified: + for jj in range(len(subreg_corners)): + # Define extraction & alignment indices: + specinds = np.array(subreg_corners[jj]).ravel().copy() + if len(specinds)==2: + specinds = np.concatenate(([0, nx0], specinds)) + if locs is None: + loc = np.mean(specinds[2:4]) + else: + loc = locs[jj] + + # Prepare various necessities: + scisub = extractSubregion(sci, specinds, retall=False) + badsub = extractSubregion(badpixelmask, specinds, retall=False) + slitflat = extractSubregion(skycorrect, specinds, retall=False) + ny, nx = scisub.shape + yall = np.arange(ny) + + + # Define subregion boundaries from the flat-field frame. + # Ideally, this should go *outside* the loop (no need to + # re-calculate this for every file...) + if unnormalized_flat is not None: + samplemask, boundaries = ir.spectral_subregion_mask(unnormalized_flat) + samplemask *= (unnormalized_flat > 500) + samplemask_corners = findRectangles(samplemask, minsepy=42, minsepx=150) + nspec = samplemask_corners.shape[0] + for kk in range(nspec): + ir.hdradd(scihdr, 'SUBREG%i' % kk, str(samplemask_corners[kk])) + ir.hdradd(scihdr, 'NSUBREG', nspec) + + + + # Align the subregion, so that sky lines run along detector columns: + aligned_scisub = scaleSpectralSky_cor(scisub/slitflat, badsub, pord=2, refpix=loc, nmed=1) + + # Model the sky background, using linear trends plus a sinusoid: + if locs is None: + spatind = np.ones(ny, dtype=bool) + else: + spatind = (np.abs(np.arange(ny) - loc) > bkg_radii[0]) * (np.abs(np.arange(ny) - loc) < bkg_radii[1]) + + sscisub = defringe_sinusoid(aligned_scisub[1], badpixelmask=badsub, period_limits=[9,30], gain=gain, readnoise=readnoise, bictest=False, spatial_index=spatind, nmed=1) + + # Compute the corrected subregion: + aligned_flattened_skycorrected_subregion = \ + (aligned_scisub[1] - sscisub) * slitflat + aligned_scisub[3] + + #try2 = (aligned_scisub[1] - sscisub) * slitflat + aligned_scisub + + newframe[specinds[2]:specinds[3],specinds[0]:specinds[1]] = aligned_flattened_skycorrected_subregion + + print "Done with subregion %i" % (jj+1) + + scihdr.update('MOSCAL', 'Calibrated by calibrate_stared_mosfire_spectra') + + pyfits.writeto(outfn, newframe.astype(float), scihdr, clobber=clobber) + + return + + + +[docs] +def reconstitute_gmos_roi(infile, outfile, **kw): + """Convert GMOS frames taken with custom ROIs into standard FITS frames. + + :INPUTS: + in : string or sequence of strings + Input filename or filenames. + + out : string or sequence of strings + Output filename or filenames. + + :OPTIONS: + clobber : bool + Passed to PyFITS; whether to overwrite existing files. + """ + # 2013-03-28 21:37 IJMC: Created at the summit of Mauna Kea + + import ir + + def trimlims(instr): + trimchars = '[]:,' + for trimchar in trimchars: + instr = instr.replace(trimchar, ' ') + return map(float, instr.strip().split()) + + + # Handle recursive case: + if not isinstance(infile, str): + for thisin, thisout in zip(infile, outfile): + reconstitute_gmos_roi(thisin, thisout, **kw) + return + + + # Handle non-recursive (single-file) case: + file = pyfits.open(infile) + hdr = file[0].header + nroi = hdr['detnroi'] + biny, binx = map(int, file[1].header['ccdsum'].split()) + + detsize = trimlims(hdr['detsize']) + binning = 2 + frame = np.zeros(((detsize[3]-detsize[2]+1)/binx, (detsize[1]-detsize[0]+1)/biny), dtype=int) + print frame.shape + + # Read in the coordinates for each ROI: + roi_xys = np.zeros((nroi, 4), dtype=int) + for ii in range(1, nroi+1): + roi_xys[ii-1, 0] = (hdr['detro%ix' % ii] - 1) + roi_xys[ii-1, 1] = (hdr['detro%ix' % ii] + hdr['detro%ixs' % ii] - 1) + roi_xys[ii-1, 2] = (hdr['detro%iy' % ii] - 1) /binx + roi_xys[ii-1, 3] = (hdr['detro%iy' % ii] - 1)/binx + hdr['detro%iys' % ii] - 1 + + # Read in the C + nhdus = len(file) - 1 + detsecs = np.zeros((nhdus, 4), dtype=int) + datasecs = np.zeros((nhdus, 4), dtype=int) + biassecs = np.zeros((nhdus, 4), dtype=int) + for ii in range(nhdus): + detsecs[ii] = trimlims(file[ii+1].header['detsec']) + datasecs[ii] = trimlims(file[ii+1].header['datasec']) + biassecs[ii] = trimlims(file[ii+1].header['biassec']) + di2 = (detsecs[ii,0]-1)/biny, detsecs[ii,1]/biny, (detsecs[ii,2]-1)/binx, detsecs[ii,3]/binx + thisdat = file[ii+1].data + #pdb.set_trace() + if biassecs[ii,0]==1025: + frame[di2[2]:di2[3], di2[0]:di2[1]] = thisdat[:, :-32] + elif biassecs[ii,0]==1: + frame[di2[2]:di2[3], di2[0]:di2[1]] = thisdat[:, 32:] + else: + print 'bombed. bummer! I should have written a better function' + + file.close() + + hdr = pyfits.getheader(infile) + for ii in range(nroi): + ir.hdradd(hdr, 'SUBREG%i' % ii, '[%i %i %i %i]' % tuple(roi_xys[ii])) + + pyfits.writeto(outfile, frame, hdr, **kw) + + return #detsecs, datasecs, biassecs + +[docs] +def rotationalProfile(delta_epsilon, delta_lam): + """Compute the rotational profile of a star, assuming solid-body + rotation and linear limb darkening. + + This uses Eq. 18.14 of Gray's Photospheres, 2005, 3rd Edition. + + :INPUTS: + + delta_epsilon : 2-sequence + + [0] : delta_Lambda_L = lambda * V * sin(i)/c; the rotational + displacement at the stellar limb. + + [1] : epsilon, the linear limb darkening coefficient, used in + the relation I(theta) = I0 + epsilon * (cos(theta) - 1). + + [2] : OPTIONAL! The central location of the profile (otherwise + assumed to be located at delta_lam=0). + + delta_lam : scalar or sequence + Wavelength minus offset: Lambda minus lambda_0. Grid upon + which computations will be done. + + :EXAMPLE: + :: + + import pylab as py + import spec + + dlam = py.np.linspace(-2, 2, 200) # Create wavelength grid + profile = spec.rotationalProfile([1, 0.6], dlam) + + py.figure() + py.plot(dlam, profile) + """ + # 2013-05-26 10:37 IJMC: Created. + + delta_lambda_L, epsilon = delta_epsilon[0:2] + if len(delta_epsilon)>2: # optional lambda_offset + lamdel2 = 1. - ((delta_lam - delta_epsilon[2])/delta_lambda_L)**2 + else: + lamdel2 = 1. - (delta_lam/delta_lambda_L)**2 + + if not hasattr(delta_lam, '__iter__'): + delta_lam = np.array([delta_lam]) + + ret = (4*(1.-epsilon) * np.sqrt(lamdel2) + np.pi*epsilon*lamdel2) / \ + (2*np.pi * delta_lambda_L * (1. - epsilon/3.)) + + ret[lamdel2<0] = 0. + + return ret + + +[docs] +def modelline(param, prof2, dv): + """Generate a rotational profile, convolve it with a second input + profile, normalize it (simply), and return. + + :INPUTS: + param : 1D sequence + param[0:3] -- see :func:`rotationalProfile` + param[4] -- multiplicative scaling factor + + dv : velocity grid + + prof2 : second input profile + """ + # 2013-08-07 09:55 IJMC: Created + nk = dv.size + rot_model = rotationalProfile(param[0:3], dv) + conv_rot_model = np.convolve(rot_model, prof2, 'same') + norm_conv_rot_model = conv_rot_model - (conv_rot_model[0] + (conv_rot_model[-1] - conv_rot_model[0])/(nk - 1.) * np.arange(nk)) + return norm_conv_rot_model * param[3] \ No newline at end of file diff --git a/scripts/templates/psd_freq.gp b/scripts/templates/psd_freq.gp new file mode 100644 index 0000000..9b595e7 --- /dev/null +++ b/scripts/templates/psd_freq.gp @@ -0,0 +1,29 @@ +# This method assumes y values are in logarithm units already. + +set terminal pngcairo +set output "%OUTPUTFILE" +set termoption dash +set termopt enhanced + +set title "%TITLE\n{/*0.7 %SUBTITLE}" +set xlabel "Temporal Frequency [days^{-1}]" +set xrange [0.005:0.620] + +# Use this if you want to show PSD directly on a log axis +# set logscale xy +# set ylabel "PSD" +# set yrange [%YMIN:%YMAX] +# plot '%FILE1' using 1:(10**($2+2)):3:4 with xyerrorbars title "%LABEL1", \ +# '%FILE2' using 1:(10**($2+2)):3:4 with xyerrorbars title "%LABEL2" + +# Use this if you want to show the log value of the PSD +set logscale x +set ylabel "log_{10} PSD" +#set yrange [%YMIN:%YMAX] +#set yrange [-5.5:0.5] + +set key outside +set key center bottom + +plot '%FILE1' using 1:2:3:4 with xyerrorbars title "%LABEL1", \ +'%FILE2' using 1:2:3:4 with xyerrorbars title "%LABEL2" diff --git a/scripts/templates/thor_submit.pbs b/scripts/templates/thor_submit.pbs new file mode 100644 index 0000000..1878de9 --- /dev/null +++ b/scripts/templates/thor_submit.pbs @@ -0,0 +1,9 @@ +#!/bin/sh -login +#PBS -l mem=64GB +#PBS -l nodes=1:ppn=1:research +#PBS -l walltime=48:00:00 +#PBS -N "%NAME%" +#PBS -j oe + +cd %ROOTDIR% +time ~/psdlag-agn/bin/psdlag '%ROOTDIR%/%ARGSFILE%' > '%ROOTDIR%/%OUTPUTFILE%' diff --git a/scripts/templates/timelag_compare.gp b/scripts/templates/timelag_compare.gp new file mode 100644 index 0000000..446b60a --- /dev/null +++ b/scripts/templates/timelag_compare.gp @@ -0,0 +1,22 @@ +set terminal pngcairo +set termoption dash +set termopt enhanced +set output "%OUTPUTFILE" +set encoding utf8 + +set title "%TITLE\n{/*0.7 %SUBTITLE}" +set xlabel "Temporal Frequency [days^{-1}]" +set xrange [0.005:0.620] +set logscale x + +set ylabel "Lag [days]" +#set yrange [%YMIN:%YMAX] +#set yrange [-5:7] +set key outside +set key center bottom + +# Draw line at origin +set arrow from 0.005,0 to 0.620,0 nohead lt 3 lc rgb 'black' +set pointsize 0 +plot '%FILE1' using 1:2:3:4 with xyerrorbars title "%LABEL1", \ +"%FILE2" using 1:2:3:4 with xyerrorbars title "%LABEL2" diff --git a/scripts/templates/timelag_freq.gp b/scripts/templates/timelag_freq.gp new file mode 100644 index 0000000..19217eb --- /dev/null +++ b/scripts/templates/timelag_freq.gp @@ -0,0 +1,17 @@ +set terminal png +set termoption dash +set output "%OUTPUTFILE" + +set title "%TITLE\n{/*0.7 %SUBTITLE}" +set xlabel "Temporal Frequency [days^{-1}]" +set xrange [0.005:0.620] +set logscale x + +set ylabel "Lag [days]" +#set yrange [%YMIN:%YMAX] + +# Draw line at origin +set arrow from 0.005,0 to 0.603,0 nohead lt 3 lc rgb 'black' + + +plot '%FILE1' using 1:2:3:4 with xyerrorbars title "%LABEL1" diff --git a/scripts/tophat_fft.pl b/scripts/tophat_fft.pl new file mode 100755 index 0000000..74ac733 --- /dev/null +++ b/scripts/tophat_fft.pl @@ -0,0 +1,26 @@ +#!/usr/bin/env perl + +use feature say; +use utf8; +use PDL::FFT; + +my $PI = 3.1415926539; +my $N = 64; +my ($series, $other_series); +for (my $k=0; $k<$N; $k++) { + $series->[$k] = sin(4*$k*$PI/$N) + cos(6*$k*$PI/$N); +} +my $fft = new Math::FFT($series); +my $coeff = $fft->rdft(); +my $spectrum = $fft->spctrm; +my $original_data = $fft->invrdft($coeff); + +for (my $k=0; $k<$N; $k++) { + $other_series->[$k] = sin(16*$k*$PI/$N) + cos(8*$k*$PI/$N); +} +my $other_fft = $fft->clone($other_series); +my $other_coeff = $other_fft->rdft(); +my $correlation = $fft->correl($other_fft); + + +sub top_hat \ No newline at end of file diff --git a/src/.smhist b/src/.smhist deleted file mode 100644 index 439f404..0000000 --- a/src/.smhist +++ /dev/null @@ -1,47 +0,0 @@ -data check.dat -read f 1 -read pow 2 -limits f pow -box -ptype 10 3 -points f pow -quit -data check.dat -read f 1 -read pow 2 -limits f pow -ptype 10 3 -points f pow -box -quit -data check.dat -read f 1 -read pow 2 -limits f pow -box -ptype 10 3 -points f pow -set lgf = log10(f) -set lgf = alog10(f) -set lgf = lg(f) -erase -box -erase -limits lgf pow -points lgf pow -box -erase -limits lgf 0. 3. -box -points lgf pow -quit -data check.dat -read 1 f -read f 1 -read pow 2 -set lgf = lg(f) -limits lgf pow -box -ptype 10 3 -points lgf pow -quit diff --git a/src/README b/src/README deleted file mode 100644 index f095c4e..0000000 --- a/src/README +++ /dev/null @@ -1,32 +0,0 @@ - - - -To compile, modify the file makefile to so that libdir and incdir point to where -alglib library and header files are installed respectively, then run: make - - -FILES: -- README: this file -- makefile: a make file for compiling -- main.cpp: the main file, that process the input file, print help message if - needed and reads the light curves files. check readLC to see the light curve - format. -- mod.cpp: contains the class mod, which is a base class that uses the likelihood method. This on its own does nothing, but it is meant to be inherited by others, e.g. psd , lag , lag10 - etc ... It is here where the likelihood is calculated, and maximized. - -- psd.cpp: a child class of mod to calculate psds. psd10 is similar by it - calculate the log10 of psd. This is better than calculating the psd directly. - -- lag.cpp: a child class of mod to calculate cross spectra and phase lags. - similar to psd. there is also lag10 that calcualte the log10 of the cross - spectrum plus phase lag. - -- psdlag.cpp: a child class of mod to calculate psd and cross spec and phase - lag at the same time. - -- inc: contains the header files. - -- inc/mod.hpp: the header for mod.cpp. This file has the Mod class also, which - is a class that holds multiple mod's used for fitting multiple light curve - simultaneusly, each mod fits for one light curve, and the total log-likelihood - is the sum of individual likelihood (i.e. product of probabilities) diff --git a/src/archive/newsrc.tar b/src/archive/newsrc.tar new file mode 100644 index 0000000..cbc313c Binary files /dev/null and b/src/archive/newsrc.tar differ diff --git a/src/archive/oldsrc.tar b/src/archive/oldsrc.tar new file mode 100644 index 0000000..8f1eca2 Binary files /dev/null and b/src/archive/oldsrc.tar differ diff --git a/src/check.dat b/src/check.dat deleted file mode 100644 index 0dd0f5a..0000000 --- a/src/check.dat +++ /dev/null @@ -1,6 +0,0 @@ -2.5e-5 4.681 -5.5e-5 3.358 -8.5e-5 2.911 -1.5e-4 2.650 -2.5e-4 1.864 -3.5e-4 0.605 diff --git a/src/fittedlags.dat b/src/fittedlags.dat deleted file mode 100644 index a48c299..0000000 --- a/src/fittedlags.dat +++ /dev/null @@ -1,6 +0,0 @@ -1.022e-01 9.694e-01 -3.260e-01 9.192e-01 -5.118e-01 9.776e-01 -3.254e-01 9.269e-01 -1.000e+00 9.659e-01 -1.000e+00 9.891e-01 diff --git a/src/alglibinternal.cpp b/src/inc/alglib/alglibinternal.cpp similarity index 100% rename from src/alglibinternal.cpp rename to src/inc/alglib/alglibinternal.cpp diff --git a/src/alglibinternal.h b/src/inc/alglib/alglibinternal.h similarity index 100% rename from src/alglibinternal.h rename to src/inc/alglib/alglibinternal.h diff --git a/src/alglibmisc.cpp b/src/inc/alglib/alglibmisc.cpp similarity index 100% rename from src/alglibmisc.cpp rename to src/inc/alglib/alglibmisc.cpp diff --git a/src/alglibmisc.h b/src/inc/alglib/alglibmisc.h similarity index 100% rename from src/alglibmisc.h rename to src/inc/alglib/alglibmisc.h diff --git a/src/ap.cpp b/src/inc/alglib/ap.cpp similarity index 100% rename from src/ap.cpp rename to src/inc/alglib/ap.cpp diff --git a/src/ap.h b/src/inc/alglib/ap.h similarity index 100% rename from src/ap.h rename to src/inc/alglib/ap.h diff --git a/src/dataanalysis.cpp b/src/inc/alglib/dataanalysis.cpp similarity index 100% rename from src/dataanalysis.cpp rename to src/inc/alglib/dataanalysis.cpp diff --git a/src/dataanalysis.h b/src/inc/alglib/dataanalysis.h similarity index 100% rename from src/dataanalysis.h rename to src/inc/alglib/dataanalysis.h diff --git a/src/diffequations.cpp b/src/inc/alglib/diffequations.cpp similarity index 100% rename from src/diffequations.cpp rename to src/inc/alglib/diffequations.cpp diff --git a/src/diffequations.h b/src/inc/alglib/diffequations.h similarity index 100% rename from src/diffequations.h rename to src/inc/alglib/diffequations.h diff --git a/src/fasttransforms.cpp b/src/inc/alglib/fasttransforms.cpp similarity index 100% rename from src/fasttransforms.cpp rename to src/inc/alglib/fasttransforms.cpp diff --git a/src/fasttransforms.h b/src/inc/alglib/fasttransforms.h similarity index 100% rename from src/fasttransforms.h rename to src/inc/alglib/fasttransforms.h diff --git a/src/integration.cpp b/src/inc/alglib/integration.cpp similarity index 100% rename from src/integration.cpp rename to src/inc/alglib/integration.cpp diff --git a/src/integration.h b/src/inc/alglib/integration.h similarity index 100% rename from src/integration.h rename to src/inc/alglib/integration.h diff --git a/src/interpolation.cpp b/src/inc/alglib/interpolation.cpp similarity index 100% rename from src/interpolation.cpp rename to src/inc/alglib/interpolation.cpp diff --git a/src/interpolation.h b/src/inc/alglib/interpolation.h similarity index 100% rename from src/interpolation.h rename to src/inc/alglib/interpolation.h diff --git a/src/linalg.cpp b/src/inc/alglib/linalg.cpp similarity index 100% rename from src/linalg.cpp rename to src/inc/alglib/linalg.cpp diff --git a/src/linalg.h b/src/inc/alglib/linalg.h similarity index 100% rename from src/linalg.h rename to src/inc/alglib/linalg.h diff --git a/src/optimization.cpp b/src/inc/alglib/optimization.cpp similarity index 100% rename from src/optimization.cpp rename to src/inc/alglib/optimization.cpp diff --git a/src/optimization.h b/src/inc/alglib/optimization.h similarity index 100% rename from src/optimization.h rename to src/inc/alglib/optimization.h diff --git a/src/solvers.cpp b/src/inc/alglib/solvers.cpp similarity index 100% rename from src/solvers.cpp rename to src/inc/alglib/solvers.cpp diff --git a/src/solvers.h b/src/inc/alglib/solvers.h similarity index 100% rename from src/solvers.h rename to src/inc/alglib/solvers.h diff --git a/src/specialfunctions.cpp b/src/inc/alglib/specialfunctions.cpp similarity index 100% rename from src/specialfunctions.cpp rename to src/inc/alglib/specialfunctions.cpp diff --git a/src/specialfunctions.h b/src/inc/alglib/specialfunctions.h similarity index 100% rename from src/specialfunctions.h rename to src/inc/alglib/specialfunctions.h diff --git a/src/statistics.cpp b/src/inc/alglib/statistics.cpp similarity index 100% rename from src/statistics.cpp rename to src/inc/alglib/statistics.cpp diff --git a/src/statistics.h b/src/inc/alglib/statistics.h similarity index 100% rename from src/statistics.h rename to src/inc/alglib/statistics.h diff --git a/src/stdafx.h b/src/inc/alglib/stdafx.h similarity index 100% rename from src/stdafx.h rename to src/inc/alglib/stdafx.h diff --git a/src/inc/def.hpp b/src/inc/def.hpp index ef14350..84fa165 100644 --- a/src/inc/def.hpp +++ b/src/inc/def.hpp @@ -8,7 +8,7 @@ #ifndef DEF_HPP_ #define DEF_HPP_ -#include +#include #include #include @@ -25,7 +25,7 @@ public: int len; double dt; vec lc,lce,t; lcurve(int n=1){t.setlength(n); lc.setlength(n); lce.setlength(n) ;len=n;dt=1.0;} lcurve(vec& t_,vec& lc_,vec& lce_,double dt_){t=t_;lc=lc_;lce=lce_;len=t.length();dt=dt_;} - void demean(){double m=0;int i;for(i=0;i >&, string , int , int , int , bool ); double mcmc_lag10( vec& x ,void*ptr ){ - int i,np = x.length(); for(i=0;i7){x[i]=7;}if(x[i]<-7){x[i]=-7;}} - Mod *mod = (Mod*) ptr; double logl=mod->loglikelihood(x); + int i,hnp,np = x.length();hnp=np/2; double phi,twopi=2*M_PI; + for(i=0;i7){x[i]=7;}if(x[i]<-7){x[i]=-7;} + phi = x[i+hnp]+M_PI; + while(phi>twopi){phi -= twopi;} + while(phi<0){phi += twopi;} + x[i+hnp] = phi-M_PI; + } + Mod *mod = (Mod*) ptr; double logl=mod->loglikelihood(x); return logl; } double mcmc_psdlag10( vec& x ,void*ptr ){ - int i,np = x.length(); for(i=0;i7){x[i]=7;}if(x[i]<-7){x[i]=-7;}} - Mod *mod = (Mod*) ptr; double logl=mod->loglikelihood(x); + int i,hnp,np = x.length();hnp=np/2; double phi,twopi=2*M_PI; + for(i=0;i7){x[i]=7;}if(x[i]<-7){x[i]=-7;} + phi = x[i+hnp]+M_PI; + while(phi>twopi){phi -= twopi;} + while(phi<0){phi += twopi;} + x[i+hnp] = phi-M_PI; + } + Mod *mod = (Mod*) ptr; double logl=mod->loglikelihood(x); return logl; } diff --git a/src/inc/mcmc.hpp b/src/inc/mcmc.hpp index ef50efb..7cfb0e4 100644 --- a/src/inc/mcmc.hpp +++ b/src/inc/mcmc.hpp @@ -8,8 +8,8 @@ #ifndef MCMC_HPP_ #define MCMC_HPP_ -#include -#include +#include +#include #include #include #include diff --git a/src/inc/mod.hpp b/src/inc/mod.hpp index 008dbe6..fa24844 100644 --- a/src/inc/mod.hpp +++ b/src/inc/mod.hpp @@ -9,8 +9,8 @@ #define MOD_HPP_ #include "def.hpp" -#include -#include +#include +#include class mod { @@ -125,7 +125,8 @@ public: // ---------- // vector ic,iv; sing = 0; for( i=0; i ic,iv; np = npar - 1; - vec g; vec2 h,hi,iii; g.setlength(np); h.setlength(np,np); hi.setlength(np,np);iii.setlength(np,np); - ic.push_back(k); + vector ic,iv; + vec g; vec2 h,hi,iii; + + dlikelihood( pars , loglike , grad , hess ); + if( fabs(grad[k])<1e-5 ) { return loglike;} for( i=0 ; i10 ) { continue ;} pd = pars[ip]; for( i=0 ;i3000 ){dpar[i] = 3000;} if( dpar[i]<-3000 ){dpar[i] = -3000;} + pars[i] += dpar[i]/((n<10)?10:1); + } +} + + +void lag_rms::print_pars( vec& pars , vec& errs ){ + for( int i=0 ; i M_PI ){ pars[i+nfq] -= 2*M_PI; } + while( pars[i+nfq] <-M_PI ){ pars[i+nfq] += 2*M_PI; } + } + mod::print_pars( pars , errs ); +} + + +// ****************************************** // + + +lag10_rms::lag10_rms( lcurve lc1 , lcurve lc2 , vec fqL , vec pars ) { + + // ----------- initial parameters ------------ // + n1 = lc1.len; + n = n1 + lc2.len; + dt = lc1.dt; + // ------------------------------------------ // + + + // ----------- light curve setup ------------ // + setlc(); + mean1 = lc1.demean(); mean2 = lc2.demean(); + mean1sq = mean1*mean1; mean2sq = mean2*mean2; mean12 = mean1*mean2; + int i; + for( i=0 ; i3 ){dpar[i] = 3;} if( dpar[i]<-3 ){dpar[i] = -3;} + //pars[i] += dpar[i]; + pars[i] += dpar[i]/((n<5)?10:1); + } +} + + +void lag10_rms::print_pars( vec& pars , vec& errs ){ + for( int i=0 ; i M_PI ){ pars[i+nfq] -= 2*M_PI; } + while( pars[i+nfq] <-M_PI ){ pars[i+nfq] += 2*M_PI; } + } + mod::print_pars( pars , errs ); +} + +void lag10_rms::what_pars( int& ip1 , int& ip2 ){ + ip1 = nfq; ip2 = npar; +} diff --git a/src/main.cpp b/src/main.cpp index de883de..a17e05c 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -35,10 +35,9 @@ int main( int argc , char* argv[] ){ void do_work( char* fname ){ /************ Reading the input file ***********/ - ifstream fp(fname); - string line,mcmcfile; stringstream ss; - int i,nfiles,nfq,mode,npar,bin1,bin2,fit_type,nrun,nburn,nwk; bool strict; + string line,mcmcfile,colon; stringstream ss; + int i,nfiles,nfq,mode,npar,bin1,bin2,fit_type,nrun,nburn,nwk,ref; bool strict; getline(fp,line);ss.str(line); ss >> nfiles; ss.clear(); vector files(nfiles);ivec secL;secL.setlength(nfiles);for(i=0;i> files[i] >> secL[i]; ss.clear();} @@ -47,7 +46,12 @@ void do_work( char* fname ){ getline(fp,line); ss.str(line); ss >> mode; ss.clear(); npar = (mode==0)?4*nfq:nfq; vec pars; pars.setlength(npar); getline(fp,line); ss.str(line); for(i=0;i> pars[i];} ss.clear(); - getline(fp,line); ss.str(line); ss >> bin1 >> bin2; ss.clear(); + getline(fp,line); ss.str(line); ss >> ref >> colon >> bin2; ss.clear(); + if(colon.compare(0,1,":") == 0 ){ + bin1 = atoi(colon.substr(1).c_str()); + }else{ + bin1 = ref; ref = -10; bin2 = atoi(colon.c_str()); + } if(mode!=0){bin1 = (mode==-1)?-1:(mode-1);bin2=-1;} getline(fp,line); ss.str(line); ss >> fit_type; ss.clear(); getline(fp,line); ss.str(line); ss >> i; strict = i!=0; ss.clear(); @@ -56,47 +60,59 @@ void do_work( char* fname ){ /********* END Reading the input file **********/ /********** Read the light curves **************/ - vector > LC; - for(i=0;i > LC,LC_ref; + if ( ref == -10 ){ + for(i=0;i 0 or mode==-1 ){ vec errs; errs.setlength(nfq); vector lc1; for( i=0 ; i p1( lc1 , fqL ); + Mod p1( lc1 , fqL ); p1.optimize( pars , errs ); if( fit_type==1 ) p1.errors( pars , errs ); - }else if( mode == 0 or mode==-1 ){ + }else if( mode == 0 ){ vec ec,e1,e2,errs; ec.setlength(2*nfq);e1.setlength(nfq);e2.setlength(nfq);errs.setlength(4*nfq); - vector lc1,lc2; for( i=0 ; i p1( lc1 , fqL ), p2( lc2 , fqL ); + vector lc1,lc2; + if( ref==-10 ){ // standard way of getting reference + for( i=0 ; i p1( lc1 , fqL ), p2( lc2 , fqL ); vec pars1,pars2;pars1.setlength(nfq);pars2.setlength(nfq);for(i=0;i l( lc1 , lc2 , fqL , pars ); + Mod l( lc1 , lc2 , fqL , pars ); l.optimize( pc , ec ); - if( fit_type==1 ) l.errors_avg( pc , ec ); + if( fit_type==1 ) l.errors( pc , ec ); if( fit_type==2 ) { mcmc mc( 2*nfq , mcmc_lag10 , (void*)&l ); mc.nrun=nrun; mc.nburn=nburn; mc.nwk=nwk; - mc.run( pc , errs , mcmcfile.c_str() ); + mc.run( pc , ec , mcmcfile.c_str() ); } for(i=0;i pl( lc1 , lc2 , fqL ); - if( fit_type==3 ) pl.errors_avg( pars , errs ); + Mod pl( lc1 , lc2 , fqL ); + if( fit_type==3 ) pl.errors( pars , errs ); if( fit_type==4 ) { mcmc mc( 4*nfq , mcmc_psdlag10 , (void*)&pl ); mc.nrun=nrun; mc.nburn=nburn; mc.nwk=nwk; @@ -161,6 +177,7 @@ void readLC( vector >&LC , string fname , int secL , int b1 , int /* Initialize file stream, define some variables */ ifstream fp(fname.c_str()); string line,sdum; stringstream ss; int i,j,nlc,n,nsec,ns,sl; double dt; + /* read dt from the description line */ getline(fp,line); ss.str(line); ss >> sdum >> dt >> nlc; ss.clear(); diff --git a/src/makefile b/src/makefile index b2b2670..08bd484 100644 --- a/src/makefile +++ b/src/makefile @@ -1,8 +1,13 @@ - -incdir='/home/caes/science/psdlag-agn/src/' -#incdir='/Users/othoulrich/science/psdlag-agn/src' - - +# original +#libdir='/eos/azoghbi/soft/usr/lib' +#incdir='/eos/azoghbi/soft/usr/include' +# most systems +#libdir='/home/caes/science/psdlag-agn/src/inc' +#incdir='/home/caes/science/psdlag-agn/src/inc' +# thor +libdir='/home/research/xaw5719/psdlag-agn/src/inc' +alglibdir='/home/research/xaw5719/psdlag-agn/src/inc/alglib' +incdir='/home/research/xaw5719/psdlag-agn/src/inc' psdlag: - g++ *cpp -o psdlag -O3 -Wall -I${incdir} + g++ *cpp inc/alglib/*cpp -o psdlag -O3 -Wall -I${incdir} -L${libdir} -L${alglibdir} -I${alglibdir} diff --git a/src/mod.cpp b/src/mod.cpp index 1987f22..c2dc7b0 100644 --- a/src/mod.cpp +++ b/src/mod.cpp @@ -32,7 +32,8 @@ void mod::init( vec fqL , int fac ){ Cfq2.resize( 3 );Sfq2.resize( 3 ); for( i=0 ; i<3 ; i++ ){ Cfq2[i].setlength( n , n ); Sfq2[i].setlength( n , n );} vec fqL2;fqL2.setlength(4); fqL2[0] = 1e-1*fqL[0]; fqL2[1] = fqL[0]; fqL2[2] = fqL[nfq]; fqL2[3] = 10*fqL[nfq]; - f1 = 2; f2 = 0.5; + //f1 = 1.5; f2 = 0.6; + f1 = 0.5; f2 = .0; _CSfq( fqL2 , Cfq2 , Sfq2 ); // ------------------------------------------ // diff --git a/src/psd_rms.cpp b/src/psd_rms.cpp new file mode 100644 index 0000000..0c90a2e --- /dev/null +++ b/src/psd_rms.cpp @@ -0,0 +1,108 @@ +/* + * psd.cpp + * + * Created on: May 31, 2013 + * Author: azoghbi + */ + +#include "inc/psd_rms.hpp" + +psd_rms::psd_rms( lcurve inlc , vec fqL ) { + + // ----------- initial parameters ------------ // + n = inlc.len; + dt = inlc.dt; + // ------------------------------------------ // + + + // ----------- light curve setup ------------ // + setlc(); + mean = inlc.demean(); + mean2 = mean*mean; + int i; + for( i=0 ; i3 ){dpar[i] = 3;} if( dpar[i]<-3 ){dpar[i] = -3;} + pars[i] += dpar[i]; + } +} diff --git a/src/psdlag_rms.cpp b/src/psdlag_rms.cpp new file mode 100644 index 0000000..1f78912 --- /dev/null +++ b/src/psdlag_rms.cpp @@ -0,0 +1,255 @@ +/* + * psdlag.cpp + * + * Created on: Jun 1, 2013 + * Author: azoghbi + */ + +#include "inc/psdlag_rms.hpp" + +psdlag_rms::psdlag_rms( lcurve lc1, lcurve lc2 , vec fqL ) { + + // ----------- initial parameters ------------ // + n1 = lc1.len; + n = n1 + lc2.len; + dt = lc1.dt; + // ------------------------------------------ // + + + // ----------- light curve setup ------------ // + setlc(); + mean1 = lc1.demean(); mean2 = lc2.demean(); + mean1sq = mean1*mean1; mean2sq = mean2*mean2; mean12 = mean1*mean2; + int i; + for( i=0 ; i3000 ){dpar[i] = 3000;} if( dpar[i]<-3000 ){dpar[i] = -3000;} + pars[i] += dpar[i]/((n<10)?10:1); + } +} + + +void psdlag_rms::print_pars( vec& pars , vec& errs ){ + for( int i=0 ; i M_PI ){ pars[i+3*nfq] -= 2*M_PI; } + while( pars[i+3*nfq] <-M_PI ){ pars[i+3*nfq] += 2*M_PI; } + mod::print_pars( pars , errs ); + } +} + +// ++++++++++++++++++++++++++++++++++++++++++++++++++++++ // + +psdlag10_rms::psdlag10_rms( lcurve lc1, lcurve lc2 , vec fqL ) { + + // ----------- initial parameters ------------ // + n1 = lc1.len; + n = n1 + lc2.len; + dt = lc1.dt; + // ------------------------------------------ // + + + // ----------- light curve setup ------------ // + setlc(); + mean1 = lc1.demean(); mean2 = lc2.demean(); + mean1sq = mean1*mean1; mean2sq = mean2*mean2; mean12 = mean1*mean2; + int i; + for( i=0 ; i3 ){dpar[i] = 3;} if( dpar[i]<-3 ){dpar[i] = -3;} + //pars[i] += dpar[i]; + pars[i] += dpar[i]/((n<5)?10:1); + } +} + + +void psdlag10_rms::print_pars( vec& pars , vec& errs ){ + for( int i=0 ; i M_PI ){ pars[i+3*nfq] -= 2*M_PI; } + while( pars[i+3*nfq] <-M_PI ){ pars[i+3*nfq] += 2*M_PI; } + } + mod::print_pars( pars , errs ); +} + +void psdlag10_rms::what_pars( int& ip1 , int& ip2 ){ + ip1 = 3*nfq; ip2 = 4*nfq; +}