Source code for colour.colorimetry.dataset.cmfs

#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
Colour Matching Functions Spectral Power Distributions
======================================================

Defines various colour matching functions involved in spectral computations.

The colour matching functions data is in the form of a *dict* of
:class:`colour.colorimetry.spectrum.TriSpectralPowerDistribution` classes as
follows::

    {'name': TriSpectralPowerDistribution,
    ...,
    'name': TriSpectralPowerDistribution}

The following colour matching functions are available:

-   Stockman & Sharpe 2 Degree Cone Fundamentals [1]_
-   Stockman & Sharpe 10 Degree Cone Fundamentals [1]_
-   Wright & Guild 1931 2 Degree RGB CMFs [2]_
-   Stiles & Burch 1955 2 Degree RGB CMFs [3]_
-   Stiles & Burch 1959 10 Degree RGB CMFs [4]_
-   CIE 1931 2 Degree Standard Observer [5]_
-   CIE 1964 10 Degree Standard Observer [5]_
-   CIE 2012 10 Degree Standard Observer [6]_
-   CIE 2012 2 Degree Standard Observer [6]_

See Also
--------
`Colour Matching Functions IPython Notebook
<http://nbviewer.ipython.org/github/colour-science/colour-ipython/blob/master/notebooks/colorimetry/cmfs.ipynb>`_  # noqa

Notes
-----
-   *Stockman & Sharpe* *LMS* colour matching functions are provided at 1 nm
    steps.
-   *Wright & Guild* and *Stiles & Burch* *CIE RGB* colour matching functions
    are provided at 5 nm steps.
-   *CIE* Standard Observers *XYZ* colour matching functions are provided at 5
    nm steps.

References
----------
.. [1]  http://www.cvrl.org/cones.htm (Last accessed 23 June 2014)
.. [2]  http://www.cis.rit.edu/mcsl/research/1931.php
        (Last accessed 12 June 2014)
.. [3]  http://www.cvrl.org/stilesburch2_ind.htm
        (Last accessed 24 February 2014)
.. [4]  http://www.cvrl.org/stilesburch10_ind.htm
        (Last accessed 24 February 2014)
.. [5]  http://cvrl.ioo.ucl.ac.uk/cie.htm (Last accessed 24 February 2014)
.. [6]  http://cvrl.ioo.ucl.ac.uk/ciexyzpr.htm (Last accessed 24 February 2014)
"""

from __future__ import division, unicode_literals

from colour.colorimetry.cmfs import LMS_ConeFundamentals
from colour.colorimetry.cmfs import RGB_ColourMatchingFunctions
from colour.colorimetry.cmfs import XYZ_ColourMatchingFunctions
from colour.utilities import CaseInsensitiveMapping

__author__ = 'Colour Developers'
__copyright__ = 'Copyright (C) 2013 - 2014 - Colour Developers'
__license__ = 'New BSD License - http://opensource.org/licenses/BSD-3-Clause'
__maintainer__ = 'Colour Developers'
__email__ = 'colour-science@googlegroups.com'
__status__ = 'Production'

__all__ = ['LMS_CMFS_DATA',
           'LMS_CMFS',
           'RGB_CMFS_DATA',
           'RGB_CMFS',
           'STANDARD_OBSERVERS_CMFS_DATA',
           'STANDARD_OBSERVERS_CMFS',
           'CMFS']


# *S-cone* spectral sensitivity data wasn't measurable after 615 nm and has
# been set to zero.
LMS_CMFS_DATA = {
    'Stockman & Sharpe 2 Degree Cone Fundamentals': {
        'l_bar': {
            390: 4.15003e-04,
            391: 5.02650e-04,
            392: 6.07367e-04,
            393: 7.31850e-04,
            394: 8.79012e-04,
            395: 1.05192e-03,
            396: 1.25373e-03,
            397: 1.48756e-03,
            398: 1.75633e-03,
            399: 2.06261e-03,
            400: 2.40836e-03,
            401: 2.79522e-03,
            402: 3.22640e-03,
            403: 3.70617e-03,
            404: 4.23972e-03,
            405: 4.83339e-03,
            406: 5.49335e-03,
            407: 6.21933e-03,
            408: 7.00631e-03,
            409: 7.84503e-03,
            410: 8.72127e-03,
            411: 9.61879e-03,
            412: 1.05324e-02,
            413: 1.14620e-02,
            414: 1.24105e-02,
            415: 1.33837e-02,
            416: 1.43870e-02,
            417: 1.54116e-02,
            418: 1.64424e-02,
            419: 1.74614e-02,
            420: 1.84480e-02,
            421: 1.93852e-02,
            422: 2.02811e-02,
            423: 2.11545e-02,
            424: 2.20286e-02,
            425: 2.29317e-02,
            426: 2.38896e-02,
            427: 2.49026e-02,
            428: 2.59631e-02,
            429: 2.70619e-02,
            430: 2.81877e-02,
            431: 2.93303e-02,
            432: 3.04898e-02,
            433: 3.16694e-02,
            434: 3.28731e-02,
            435: 3.41054e-02,
            436: 3.53670e-02,
            437: 3.66400e-02,
            438: 3.78988e-02,
            439: 3.91148e-02,
            440: 4.02563e-02,
            441: 4.12989e-02,
            442: 4.22582e-02,
            443: 4.31627e-02,
            444: 4.40444e-02,
            445: 4.49380e-02,
            446: 4.58729e-02,
            447: 4.68459e-02,
            448: 4.78446e-02,
            449: 4.88555e-02,
            450: 4.98639e-02,
            451: 5.08618e-02,
            452: 5.18731e-02,
            453: 5.29317e-02,
            454: 5.40746e-02,
            455: 5.53418e-02,
            456: 5.67734e-02,
            457: 5.83973e-02,
            458: 6.02409e-02,
            459: 6.23353e-02,
            460: 6.47164e-02,
            461: 6.74131e-02,
            462: 7.04040e-02,
            463: 7.36489e-02,
            464: 7.70978e-02,
            465: 8.06894e-02,
            466: 8.43613e-02,
            467: 8.80904e-02,
            468: 9.18630e-02,
            469: 9.56637e-02,
            470: 9.94755e-02,
            471: 1.03286e-01,
            472: 1.07103e-01,
            473: 1.10947e-01,
            474: 1.14838e-01,
            475: 1.18802e-01,
            476: 1.22863e-01,
            477: 1.27026e-01,
            478: 1.31293e-01,
            479: 1.35666e-01,
            480: 1.40145e-01,
            481: 1.44731e-01,
            482: 1.49415e-01,
            483: 1.54189e-01,
            484: 1.59038e-01,
            485: 1.63952e-01,
            486: 1.68932e-01,
            487: 1.74063e-01,
            488: 1.79457e-01,
            489: 1.85241e-01,
            490: 1.91556e-01,
            491: 1.98532e-01,
            492: 2.06182e-01,
            493: 2.14485e-01,
            494: 2.23411e-01,
            495: 2.32926e-01,
            496: 2.42992e-01,
            497: 2.53616e-01,
            498: 2.64810e-01,
            499: 2.76587e-01,
            500: 2.88959e-01,
            501: 3.01934e-01,
            502: 3.15508e-01,
            503: 3.29673e-01,
            504: 3.44416e-01,
            505: 3.59716e-01,
            506: 3.75550e-01,
            507: 3.91895e-01,
            508: 4.08722e-01,
            509: 4.25998e-01,
            510: 4.43683e-01,
            511: 4.61731e-01,
            512: 4.80094e-01,
            513: 4.98717e-01,
            514: 5.17539e-01,
            515: 5.36494e-01,
            516: 5.55493e-01,
            517: 5.74386e-01,
            518: 5.92995e-01,
            519: 6.11124e-01,
            520: 6.28561e-01,
            521: 6.45139e-01,
            522: 6.60907e-01,
            523: 6.75993e-01,
            524: 6.90542e-01,
            525: 7.04720e-01,
            526: 7.18662e-01,
            527: 7.32323e-01,
            528: 7.45606e-01,
            529: 7.58410e-01,
            530: 7.70630e-01,
            531: 7.82208e-01,
            532: 7.93290e-01,
            533: 8.04084e-01,
            534: 8.14813e-01,
            535: 8.25711e-01,
            536: 8.36943e-01,
            537: 8.48349e-01,
            538: 8.59676e-01,
            539: 8.70656e-01,
            540: 8.81011e-01,
            541: 8.90496e-01,
            542: 8.99052e-01,
            543: 9.06669e-01,
            544: 9.13341e-01,
            545: 9.19067e-01,
            546: 9.23898e-01,
            547: 9.28099e-01,
            548: 9.31995e-01,
            549: 9.35916e-01,
            550: 9.40198e-01,
            551: 9.45076e-01,
            552: 9.50367e-01,
            553: 9.55775e-01,
            554: 9.61000e-01,
            555: 9.65733e-01,
            556: 9.69744e-01,
            557: 9.73133e-01,
            558: 9.76086e-01,
            559: 9.78793e-01,
            560: 9.81445e-01,
            561: 9.84186e-01,
            562: 9.86965e-01,
            563: 9.89678e-01,
            564: 9.92220e-01,
            565: 9.94486e-01,
            566: 9.96386e-01,
            567: 9.97895e-01,
            568: 9.99004e-01,
            569: 9.99706e-01,
            570: 9.99993e-01,
            571: 9.99837e-01,
            572: 9.99123e-01,
            573: 9.97719e-01,
            574: 9.95491e-01,
            575: 9.92310e-01,
            576: 9.88146e-01,
            577: 9.83345e-01,
            578: 9.78342e-01,
            579: 9.73564e-01,
            580: 9.69429e-01,
            581: 9.66211e-01,
            582: 9.63630e-01,
            583: 9.61273e-01,
            584: 9.58732e-01,
            585: 9.55602e-01,
            586: 9.51569e-01,
            587: 9.46654e-01,
            588: 9.40962e-01,
            589: 9.34600e-01,
            590: 9.27673e-01,
            591: 9.20264e-01,
            592: 9.12391e-01,
            593: 9.04050e-01,
            594: 8.95243e-01,
            595: 8.85969e-01,
            596: 8.76242e-01,
            597: 8.66117e-01,
            598: 8.55658e-01,
            599: 8.44926e-01,
            600: 8.33982e-01,
            601: 8.22859e-01,
            602: 8.11491e-01,
            603: 7.99794e-01,
            604: 7.87689e-01,
            605: 7.75103e-01,
            606: 7.61996e-01,
            607: 7.48425e-01,
            608: 7.34470e-01,
            609: 7.20208e-01,
            610: 7.05713e-01,
            611: 6.91044e-01,
            612: 6.76212e-01,
            613: 6.61220e-01,
            614: 6.46072e-01,
            615: 6.30773e-01,
            616: 6.15349e-01,
            617: 5.99888e-01,
            618: 5.84489e-01,
            619: 5.69240e-01,
            620: 5.54224e-01,
            621: 5.39469e-01,
            622: 5.24827e-01,
            623: 5.10124e-01,
            624: 4.95206e-01,
            625: 4.79941e-01,
            626: 4.64270e-01,
            627: 4.48338e-01,
            628: 4.32329e-01,
            629: 4.16406e-01,
            630: 4.00711e-01,
            631: 3.85355e-01,
            632: 3.70377e-01,
            633: 3.55793e-01,
            634: 3.41618e-01,
            635: 3.27864e-01,
            636: 3.14541e-01,
            637: 3.01662e-01,
            638: 2.89239e-01,
            639: 2.77278e-01,
            640: 2.65784e-01,
            641: 2.54740e-01,
            642: 2.44054e-01,
            643: 2.33634e-01,
            644: 2.23399e-01,
            645: 2.13284e-01,
            646: 2.03257e-01,
            647: 1.93370e-01,
            648: 1.83688e-01,
            649: 1.74263e-01,
            650: 1.65141e-01,
            651: 1.56354e-01,
            652: 1.47916e-01,
            653: 1.39834e-01,
            654: 1.32111e-01,
            655: 1.24749e-01,
            656: 1.17744e-01,
            657: 1.11081e-01,
            658: 1.04747e-01,
            659: 9.87277e-02,
            660: 9.30085e-02,
            661: 8.75769e-02,
            662: 8.24219e-02,
            663: 7.75328e-02,
            664: 7.28989e-02,
            665: 6.85100e-02,
            666: 6.43554e-02,
            667: 6.04242e-02,
            668: 5.67057e-02,
            669: 5.31896e-02,
            670: 4.98661e-02,
            671: 4.67258e-02,
            672: 4.37598e-02,
            673: 4.09594e-02,
            674: 3.83165e-02,
            675: 3.58233e-02,
            676: 3.34725e-02,
            677: 3.12583e-02,
            678: 2.91751e-02,
            679: 2.72173e-02,
            680: 2.53790e-02,
            681: 2.36541e-02,
            682: 2.20336e-02,
            683: 2.05092e-02,
            684: 1.90735e-02,
            685: 1.77201e-02,
            686: 1.64451e-02,
            687: 1.52510e-02,
            688: 1.41404e-02,
            689: 1.31137e-02,
            690: 1.21701e-02,
            691: 1.13063e-02,
            692: 1.05131e-02,
            693: 9.78127e-03,
            694: 9.10300e-03,
            695: 8.47170e-03,
            696: 7.88227e-03,
            697: 7.33213e-03,
            698: 6.81928e-03,
            699: 6.34173e-03,
            700: 5.89749e-03,
            701: 5.48444e-03,
            702: 5.09978e-03,
            703: 4.74086e-03,
            704: 4.40538e-03,
            705: 4.09129e-03,
            706: 3.79703e-03,
            707: 3.52187e-03,
            708: 3.26520e-03,
            709: 3.02632e-03,
            710: 2.80447e-03,
            711: 2.59882e-03,
            712: 2.40849e-03,
            713: 2.23259e-03,
            714: 2.07024e-03,
            715: 1.92058e-03,
            716: 1.78269e-03,
            717: 1.65540e-03,
            718: 1.53762e-03,
            719: 1.42839e-03,
            720: 1.32687e-03,
            721: 1.23238e-03,
            722: 1.14456e-03,
            723: 1.06308e-03,
            724: 9.87592e-04,
            725: 9.17777e-04,
            726: 8.53264e-04,
            727: 7.93589e-04,
            728: 7.38306e-04,
            729: 6.87018e-04,
            730: 6.39373e-04,
            731: 5.95057e-04,
            732: 5.53797e-04,
            733: 5.15350e-04,
            734: 4.79496e-04,
            735: 4.46035e-04,
            736: 4.14809e-04,
            737: 3.85749e-04,
            738: 3.58792e-04,
            739: 3.33861e-04,
            740: 3.10869e-04,
            741: 2.89699e-04,
            742: 2.70145e-04,
            743: 2.52007e-04,
            744: 2.35117e-04,
            745: 2.19329e-04,
            746: 2.04535e-04,
            747: 1.90692e-04,
            748: 1.77771e-04,
            749: 1.65736e-04,
            750: 1.54549e-04,
            751: 1.44167e-04,
            752: 1.34528e-04,
            753: 1.25574e-04,
            754: 1.17251e-04,
            755: 1.09508e-04,
            756: 1.02300e-04,
            757: 9.55828e-05,
            758: 8.93161e-05,
            759: 8.34631e-05,
            760: 7.79912e-05,
            761: 7.28730e-05,
            762: 6.80921e-05,
            763: 6.36342e-05,
            764: 5.94841e-05,
            765: 5.56264e-05,
            766: 5.20430e-05,
            767: 4.87063e-05,
            768: 4.55900e-05,
            769: 4.26710e-05,
            770: 3.99295e-05,
            771: 3.73509e-05,
            772: 3.49326e-05,
            773: 3.26730e-05,
            774: 3.05690e-05,
            775: 2.86163e-05,
            776: 2.68077e-05,
            777: 2.51286e-05,
            778: 2.35645e-05,
            779: 2.21026e-05,
            780: 2.07321e-05,
            781: 1.94444e-05,
            782: 1.82351e-05,
            783: 1.71008e-05,
            784: 1.60380e-05,
            785: 1.50432e-05,
            786: 1.41127e-05,
            787: 1.32420e-05,
            788: 1.24263e-05,
            789: 1.16618e-05,
            790: 1.09446e-05,
            791: 1.02716e-05,
            792: 9.64036e-06,
            793: 9.04897e-06,
            794: 8.49535e-06,
            795: 7.97750e-06,
            796: 7.49341e-06,
            797: 7.04079e-06,
            798: 6.61744e-06,
            799: 6.22133e-06,
            800: 5.85057e-06,
            801: 5.50333e-06,
            802: 5.17756e-06,
            803: 4.87135e-06,
            804: 4.58300e-06,
            805: 4.31102e-06,
            806: 4.05422e-06,
            807: 3.81213e-06,
            808: 3.58438e-06,
            809: 3.37053e-06,
            810: 3.17009e-06,
            811: 2.98248e-06,
            812: 2.80691e-06,
            813: 2.64257e-06,
            814: 2.48873e-06,
            815: 2.34468e-06,
            816: 2.20974e-06,
            817: 2.08315e-06,
            818: 1.96419e-06,
            819: 1.85222e-06,
            820: 1.74666e-06,
            821: 1.64705e-06,
            822: 1.55307e-06,
            823: 1.46448e-06,
            824: 1.38100e-06,
            825: 1.30241e-06,
            826: 1.22844e-06,
            827: 1.15888e-06,
            828: 1.09348e-06,
            829: 1.03203e-06,
            830: 9.74306e-07},
        'm_bar': {
            390: 3.68349e-04,
            391: 4.48015e-04,
            392: 5.43965e-04,
            393: 6.58983e-04,
            394: 7.96121e-04,
            395: 9.58658e-04,
            396: 1.15002e-03,
            397: 1.37367e-03,
            398: 1.63296e-03,
            399: 1.93089e-03,
            400: 2.26991e-03,
            401: 2.65210e-03,
            402: 3.08110e-03,
            403: 3.56156e-03,
            404: 4.09900e-03,
            405: 4.70010e-03,
            406: 5.37186e-03,
            407: 6.11757e-03,
            408: 6.93795e-03,
            409: 7.83144e-03,
            410: 8.79369e-03,
            411: 9.81865e-03,
            412: 1.09044e-02,
            413: 1.20509e-02,
            414: 1.32582e-02,
            415: 1.45277e-02,
            416: 1.58600e-02,
            417: 1.72496e-02,
            418: 1.86878e-02,
            419: 2.01638e-02,
            420: 2.16649e-02,
            421: 2.31801e-02,
            422: 2.47139e-02,
            423: 2.62785e-02,
            424: 2.78905e-02,
            425: 2.95714e-02,
            426: 3.13438e-02,
            427: 3.32151e-02,
            428: 3.51889e-02,
            429: 3.72683e-02,
            430: 3.94566e-02,
            431: 4.17546e-02,
            432: 4.41544e-02,
            433: 4.66432e-02,
            434: 4.92050e-02,
            435: 5.18199e-02,
            436: 5.44645e-02,
            437: 5.71131e-02,
            438: 5.97369e-02,
            439: 6.23038e-02,
            440: 6.47782e-02,
            441: 6.71329e-02,
            442: 6.93844e-02,
            443: 7.15658e-02,
            444: 7.37164e-02,
            445: 7.58812e-02,
            446: 7.80980e-02,
            447: 8.03538e-02,
            448: 8.26198e-02,
            449: 8.48644e-02,
            450: 8.70524e-02,
            451: 8.91640e-02,
            452: 9.12523e-02,
            453: 9.33950e-02,
            454: 9.56775e-02,
            455: 9.81934e-02,
            456: 1.01031e-01,
            457: 1.04229e-01,
            458: 1.07814e-01,
            459: 1.11817e-01,
            460: 1.16272e-01,
            461: 1.21204e-01,
            462: 1.26573e-01,
            463: 1.32311e-01,
            464: 1.38334e-01,
            465: 1.44541e-01,
            466: 1.50828e-01,
            467: 1.57146e-01,
            468: 1.63457e-01,
            469: 1.69721e-01,
            470: 1.75893e-01,
            471: 1.81938e-01,
            472: 1.87872e-01,
            473: 1.93731e-01,
            474: 1.99557e-01,
            475: 2.05398e-01,
            476: 2.11302e-01,
            477: 2.17283e-01,
            478: 2.23347e-01,
            479: 2.29501e-01,
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            481: 2.42108e-01,
            482: 2.48545e-01,
            483: 2.55037e-01,
            484: 2.61554e-01,
            485: 2.68063e-01,
            486: 2.74561e-01,
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            489: 2.95508e-01,
            490: 3.03630e-01,
            491: 3.12649e-01,
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            737: 0.,
            738: 0.,
            739: 0.,
            740: 0.,
            741: 0.,
            742: 0.,
            743: 0.,
            744: 0.,
            745: 0.,
            746: 0.,
            747: 0.,
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            750: 0.,
            751: 0.,
            752: 0.,
            753: 0.,
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            767: 0.,
            768: 0.,
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            771: 0.,
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            773: 0.,
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            780: 0.,
            781: 0.,
            782: 0.,
            783: 0.,
            784: 0.,
            785: 0.,
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            790: 0.,
            791: 0.,
            792: 0.,
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            830: 0.}}}

LMS_CMFS = CaseInsensitiveMapping(
    {'Stockman & Sharpe 2 Degree Cone Fundamentals': LMS_ConeFundamentals(
        'Stockman & Sharpe 2 Degree Cone Fundamentals', LMS_CMFS_DATA.get(
            'Stockman & Sharpe 2 Degree Cone Fundamentals')),
     'Stockman & Sharpe 10 Degree Cone Fundamentals': LMS_ConeFundamentals(
         'Stockman & Sharpe 10 Degree Cone Fundamentals', LMS_CMFS_DATA.get(
             'Stockman & Sharpe 10 Degree Cone Fundamentals'))})
"""
*LMS* colour matching functions.

LMS_CMFS : dict
    ('Stockman & Sharpe 2 Degree Cone Fundamentals',
    'Stockman & Sharpe 10 Degree Cone Fundamentals')
"""

RGB_CMFS_DATA = {
    'Wright & Guild 1931 2 Degree RGB CMFs': {
        'r_bar': {
            380: 0.00003,
            385: 0.00005,
            390: 0.0001,
            395: 0.00017,
            400: 0.0003,
            405: 0.00047,
            410: 0.00084,
            415: 0.00139,
            420: 0.00211,
            425: 0.00266,
            430: 0.00218,
            435: 0.00036,
            440: -0.00261,
            445: -0.00673,
            450: -0.01213,
            455: -0.01874,
            460: -0.02608,
            465: -0.03324,
            470: -0.03933,
            475: -0.04471,
            480: -0.04939,
            485: -0.05364,
            490: -0.05814,
            495: -0.06414,
            500: -0.07137,
            505: -0.0812,
            510: -0.08901,
            515: -0.09356,
            520: -0.09264,
            525: -0.08473,
            530: -0.07101,
            535: -0.05316,
            540: -0.03152,
            545: -0.00613,
            550: 0.02279,
            555: 0.05514,
            560: 0.0906,
            565: 0.1284,
            570: 0.16768,
            575: 0.20715,
            580: 0.24562,
            585: 0.27989,
            590: 0.30928,
            595: 0.33184,
            600: 0.34429,
            605: 0.34756,
            610: 0.33971,
            615: 0.32265,
            620: 0.29708,
            625: 0.26348,
            630: 0.22677,
            635: 0.19233,
            640: 0.15968,
            645: 0.12905,
            650: 0.10167,
            655: 0.07857,
            660: 0.05932,
            665: 0.04366,
            670: 0.03149,
            675: 0.02294,
            680: 0.01687,
            685: 0.01187,
            690: 0.00819,
            695: 0.00572,
            700: 0.0041,
            705: 0.00291,
            710: 0.0021,
            715: 0.00148,
            720: 0.00105,
            725: 0.00074,
            730: 0.00052,
            735: 0.00036,
            740: 0.00025,
            745: 0.00017,
            750: 0.00012,
            755: 0.00008,
            760: 0.00006,
            765: 0.00004,
            770: 0.00003,
            775: 0.00001,
            780: 0},
        'g_bar': {
            380: -0.00001,
            385: -0.00002,
            390: -0.00004,
            395: -0.00007,
            400: -0.00014,
            405: -0.00022,
            410: -0.00041,
            415: -0.0007,
            420: -0.0011,
            425: -0.00143,
            430: -0.00119,
            435: -0.00021,
            440: 0.00149,
            445: 0.00379,
            450: 0.00678,
            455: 0.01046,
            460: 0.01485,
            465: 0.01977,
            470: 0.02538,
            475: 0.03183,
            480: 0.03914,
            485: 0.04713,
            490: 0.05689,
            495: 0.06948,
            500: 0.08536,
            505: 0.10593,
            510: 0.1286,
            515: 0.15262,
            520: 0.17468,
            525: 0.19113,
            530: 0.20317,
            535: 0.21083,
            540: 0.21466,
            545: 0.21487,
            550: 0.21178,
            555: 0.20588,
            560: 0.19702,
            565: 0.18522,
            570: 0.17087,
            575: 0.15429,
            580: 0.1361,
            585: 0.11686,
            590: 0.09754,
            595: 0.07909,
            600: 0.06246,
            605: 0.04776,
            610: 0.03557,
            615: 0.02583,
            620: 0.01828,
            625: 0.01253,
            630: 0.00833,
            635: 0.00537,
            640: 0.00334,
            645: 0.00199,
            650: 0.00116,
            655: 0.00066,
            660: 0.00037,
            665: 0.00021,
            670: 0.00011,
            675: 0.00006,
            680: 0.00003,
            685: 0.00001,
            690: 0,
            695: 0,
            700: 0,
            705: 0,
            710: 0,
            715: 0,
            720: 0,
            725: 0,
            730: 0,
            735: 0,
            740: 0,
            745: 0,
            750: 0,
            755: 0,
            760: 0,
            765: 0,
            770: 0,
            775: 0,
            780: 0},
        'b_bar': {
            380: 0.00117,
            385: 0.00189,
            390: 0.00359,
            395: 0.00647,
            400: 0.01214,
            405: 0.01969,
            410: 0.03707,
            415: 0.06637,
            420: 0.11541,
            425: 0.18575,
            430: 0.24769,
            435: 0.29012,
            440: 0.31228,
            445: 0.3186,
            450: 0.3167,
            455: 0.31166,
            460: 0.29821,
            465: 0.27295,
            470: 0.22991,
            475: 0.18592,
            480: 0.14494,
            485: 0.10968,
            490: 0.08257,
            495: 0.06246,
            500: 0.04776,
            505: 0.03688,
            510: 0.02698,
            515: 0.01842,
            520: 0.01221,
            525: 0.0083,
            530: 0.00549,
            535: 0.0032,
            540: 0.00146,
            545: 0.00023,
            550: -0.00058,
            555: -0.00105,
            560: -0.0013,
            565: -0.00138,
            570: -0.00135,
            575: -0.00123,
            580: -0.00108,
            585: -0.00093,
            590: -0.00079,
            595: -0.00063,
            600: -0.00049,
            605: -0.00038,
            610: -0.0003,
            615: -0.00022,
            620: -0.00015,
            625: -0.00011,
            630: -0.00008,
            635: -0.00005,
            640: -0.00003,
            645: -0.00002,
            650: -0.00001,
            655: -0.00001,
            660: 0,
            665: 0,
            670: 0,
            675: 0,
            680: 0,
            685: 0,
            690: 0,
            695: 0,
            700: 0,
            705: 0,
            710: 0,
            715: 0,
            720: 0,
            725: 0,
            730: 0,
            735: 0,
            740: 0,
            745: 0,
            750: 0,
            755: 0,
            760: 0,
            765: 0,
            770: 0,
            775: 0,
            780: 0},
    },
    'Stiles & Burch 1955 2 Degree RGB CMFs': {
        'r_bar': {
            390: 1.83970e-003,
            395: 4.61530e-003,
            400: 9.62640e-003,
            405: 1.89790e-002,
            410: 3.08030e-002,
            415: 4.24590e-002,
            420: 5.16620e-002,
            425: 5.28370e-002,
            430: 4.42870e-002,
            435: 3.22200e-002,
            440: 1.47630e-002,
            445: -2.33920e-003,
            450: -2.91300e-002,
            455: -6.06770e-002,
            460: -9.62240e-002,
            465: -1.37590e-001,
            470: -1.74860e-001,
            475: -2.12600e-001,
            480: -2.37800e-001,
            485: -2.56740e-001,
            490: -2.77270e-001,
            495: -2.91250e-001,
            500: -2.95000e-001,
            505: -2.97060e-001,
            510: -2.67590e-001,
            515: -2.17250e-001,
            520: -1.47680e-001,
            525: -3.51840e-002,
            530: 1.06140e-001,
            535: 2.59810e-001,
            540: 4.19760e-001,
            545: 5.92590e-001,
            550: 7.90040e-001,
            555: 1.00780e+000,
            560: 1.22830e+000,
            565: 1.47270e+000,
            570: 1.74760e+000,
            575: 2.02140e+000,
            580: 2.27240e+000,
            585: 2.48960e+000,
            590: 2.67250e+000,
            595: 2.80930e+000,
            600: 2.87170e+000,
            605: 2.85250e+000,
            610: 2.76010e+000,
            615: 2.59890e+000,
            620: 2.37430e+000,
            625: 2.10540e+000,
            630: 1.81450e+000,
            635: 1.52470e+000,
            640: 1.25430e+000,
            645: 1.00760e+000,
            650: 7.86420e-001,
            655: 5.96590e-001,
            660: 4.43200e-001,
            665: 3.24100e-001,
            670: 2.34550e-001,
            675: 1.68840e-001,
            680: 1.20860e-001,
            685: 8.58110e-002,
            690: 6.02600e-002,
            695: 4.14800e-002,
            700: 2.81140e-002,
            705: 1.91170e-002,
            710: 1.33050e-002,
            715: 9.40920e-003,
            720: 6.51770e-003,
            725: 4.53770e-003,
            730: 3.17420e-003},
        'g_bar': {
            390: -4.53930e-004,
            395: -1.04640e-003,
            400: -2.16890e-003,
            405: -4.43040e-003,
            410: -7.20480e-003,
            415: -1.25790e-002,
            420: -1.66510e-002,
            425: -2.12400e-002,
            430: -1.99360e-002,
            435: -1.60970e-002,
            440: -7.34570e-003,
            445: 1.36900e-003,
            450: 1.96100e-002,
            455: 4.34640e-002,
            460: 7.09540e-002,
            465: 1.10220e-001,
            470: 1.50880e-001,
            475: 1.97940e-001,
            480: 2.40420e-001,
            485: 2.79930e-001,
            490: 3.33530e-001,
            495: 4.05210e-001,
            500: 4.90600e-001,
            505: 5.96730e-001,
            510: 7.01840e-001,
            515: 8.08520e-001,
            520: 9.10760e-001,
            525: 9.84820e-001,
            530: 1.03390e+000,
            535: 1.05380e+000,
            540: 1.05120e+000,
            545: 1.04980e+000,
            550: 1.03680e+000,
            555: 9.98260e-001,
            560: 9.37830e-001,
            565: 8.80390e-001,
            570: 8.28350e-001,
            575: 7.46860e-001,
            580: 6.49300e-001,
            585: 5.63170e-001,
            590: 4.76750e-001,
            595: 3.84840e-001,
            600: 3.00690e-001,
            605: 2.28530e-001,
            610: 1.65750e-001,
            615: 1.13730e-001,
            620: 7.46820e-002,
            625: 4.65040e-002,
            630: 2.63330e-002,
            635: 1.27240e-002,
            640: 4.50330e-003,
            645: 9.66110e-005,
            650: -1.96450e-003,
            655: -2.63270e-003,
            660: -2.62620e-003,
            665: -2.30270e-003,
            670: -1.87000e-003,
            675: -1.44240e-003,
            680: -1.07550e-003,
            685: -7.90040e-004,
            690: -5.67650e-004,
            695: -3.92740e-004,
            700: -2.62310e-004,
            705: -1.75120e-004,
            710: -1.21400e-004,
            715: -8.57600e-005,
            720: -5.76770e-005,
            725: -3.90030e-005,
            730: -2.65110e-005},
        'b_bar': {
            390: 1.21520e-002,
            395: 3.11100e-002,
            400: 6.23710e-002,
            405: 1.31610e-001,
            410: 2.27500e-001,
            415: 3.58970e-001,
            420: 5.23960e-001,
            425: 6.85860e-001,
            430: 7.96040e-001,
            435: 8.94590e-001,
            440: 9.63950e-001,
            445: 9.98140e-001,
            450: 9.18750e-001,
            455: 8.24870e-001,
            460: 7.85540e-001,
            465: 6.67230e-001,
            470: 6.10980e-001,
            475: 4.88290e-001,
            480: 3.61950e-001,
            485: 2.66340e-001,
            490: 1.95930e-001,
            495: 1.47300e-001,
            500: 1.07490e-001,
            505: 7.67140e-002,
            510: 5.02480e-002,
            515: 2.87810e-002,
            520: 1.33090e-002,
            525: 2.11700e-003,
            530: -4.15740e-003,
            535: -8.30320e-003,
            540: -1.21910e-002,
            545: -1.40390e-002,
            550: -1.46810e-002,
            555: -1.49470e-002,
            560: -1.46130e-002,
            565: -1.37820e-002,
            570: -1.26500e-002,
            575: -1.13560e-002,
            580: -9.93170e-003,
            585: -8.41480e-003,
            590: -7.02100e-003,
            595: -5.74370e-003,
            600: -4.27430e-003,
            605: -2.91320e-003,
            610: -2.26930e-003,
            615: -1.99660e-003,
            620: -1.50690e-003,
            625: -9.38220e-004,
            630: -5.53160e-004,
            635: -3.16680e-004,
            640: -1.43190e-004,
            645: -4.08310e-006,
            650: 1.10810e-004,
            655: 1.91750e-004,
            660: 2.26560e-004,
            665: 2.15200e-004,
            670: 1.63610e-004,
            675: 9.71640e-005,
            680: 5.10330e-005,
            685: 3.52710e-005,
            690: 3.12110e-005,
            695: 2.45080e-005,
            700: 1.65210e-005,
            705: 1.11240e-005,
            710: 8.69650e-006,
            715: 7.43510e-006,
            720: 6.10570e-006,
            725: 5.02770e-006,
            730: 4.12510e-006}
    },
    'Stiles & Burch 1959 10 Degree RGB CMFs': {
        'r_bar': {
            390: 1.5000e-03,
            395: 3.8000e-03,
            400: 8.9000e-03,
            405: 1.8800e-02,
            410: 3.5000e-02,
            415: 5.3100e-02,
            420: 7.0200e-02,
            425: 7.6300e-02,
            430: 7.4500e-02,
            435: 5.6100e-02,
            440: 3.2300e-02,
            445: -4.4000e-03,
            450: -4.7800e-02,
            455: -9.7000e-02,
            460: -1.5860e-01,
            465: -2.2350e-01,
            470: -2.8480e-01,
            475: -3.3460e-01,
            480: -3.7760e-01,
            485: -4.1360e-01,
            490: -4.3170e-01,
            495: -4.4520e-01,
            500: -4.3500e-01,
            505: -4.1400e-01,
            510: -3.6730e-01,
            515: -2.8450e-01,
            520: -1.8550e-01,
            525: -4.3500e-02,
            530: 1.2700e-01,
            535: 3.1290e-01,
            540: 5.3620e-01,
            545: 7.7220e-01,
            550: 1.0059e+00,
            555: 1.2710e+00,
            560: 1.5574e+00,
            565: 1.8465e+00,
            570: 2.1511e+00,
            575: 2.4250e+00,
            580: 2.6574e+00,
            585: 2.9151e+00,
            590: 3.0779e+00,
            595: 3.1613e+00,
            600: 3.1673e+00,
            605: 3.1048e+00,
            610: 2.9462e+00,
            615: 2.7194e+00,
            620: 2.4526e+00,
            625: 2.1700e+00,
            630: 1.8358e+00,
            635: 1.5179e+00,
            640: 1.2428e+00,
            645: 1.0070e+00,
            650: 7.8270e-01,
            655: 5.9340e-01,
            660: 4.4420e-01,
            665: 3.2830e-01,
            670: 2.3940e-01,
            675: 1.7220e-01,
            680: 1.2210e-01,
            685: 8.5300e-02,
            690: 5.8600e-02,
            695: 4.0800e-02,
            700: 2.8400e-02,
            705: 1.9700e-02,
            710: 1.3500e-02,
            715: 9.2400e-03,
            720: 6.3800e-03,
            725: 4.4100e-03,
            730: 3.0700e-03,
            735: 2.1400e-03,
            740: 1.4900e-03,
            745: 1.0500e-03,
            750: 7.3900e-04,
            755: 5.2300e-04,
            760: 3.7200e-04,
            765: 2.6500e-04,
            770: 1.9000e-04,
            775: 1.3600e-04,
            780: 9.8400e-05,
            785: 7.1300e-05,
            790: 5.1800e-05,
            795: 3.7700e-05,
            800: 2.7600e-05,
            805: 2.0300e-05,
            810: 1.4900e-05,
            815: 1.1000e-05,
            820: 8.1800e-06,
            825: 6.0900e-06,
            830: 4.5500e-06},
        'g_bar': {
            390: -4.0000e-04,
            395: -1.0000e-03,
            400: -2.5000e-03,
            405: -5.9000e-03,
            410: -1.1900e-02,
            415: -2.0100e-02,
            420: -2.8900e-02,
            425: -3.3800e-02,
            430: -3.4900e-02,
            435: -2.7600e-02,
            440: -1.6900e-02,
            445: 2.4000e-03,
            450: 2.8300e-02,
            455: 6.3600e-02,
            460: 1.0820e-01,
            465: 1.6170e-01,
            470: 2.2010e-01,
            475: 2.7960e-01,
            480: 3.4280e-01,
            485: 4.0860e-01,
            490: 4.7160e-01,
            495: 5.4910e-01,
            500: 6.2600e-01,
            505: 7.0970e-01,
            510: 7.9350e-01,
            515: 8.7150e-01,
            520: 9.4770e-01,
            525: 9.9450e-01,
            530: 1.0203e+00,
            535: 1.0375e+00,
            540: 1.0517e+00,
            545: 1.0390e+00,
            550: 1.0029e+00,
            555: 9.6980e-01,
            560: 9.1620e-01,
            565: 8.5710e-01,
            570: 7.8230e-01,
            575: 6.9530e-01,
            580: 5.9660e-01,
            585: 5.0630e-01,
            590: 4.2030e-01,
            595: 3.3600e-01,
            600: 2.5910e-01,
            605: 1.9170e-01,
            610: 1.3670e-01,
            615: 9.3800e-02,
            620: 6.1100e-02,
            625: 3.7100e-02,
            630: 2.1500e-02,
            635: 1.1200e-02,
            640: 4.4000e-03,
            645: 7.8000e-05,
            650: -1.3680e-03,
            655: -1.9880e-03,
            660: -2.1680e-03,
            665: -2.0060e-03,
            670: -1.6420e-03,
            675: -1.2720e-03,
            680: -9.4700e-04,
            685: -6.8300e-04,
            690: -4.7800e-04,
            695: -3.3700e-04,
            700: -2.3500e-04,
            705: -1.6300e-04,
            710: -1.1100e-04,
            715: -7.4800e-05,
            720: -5.0800e-05,
            725: -3.4400e-05,
            730: -2.3400e-05,
            735: -1.5900e-05,
            740: -1.0700e-05,
            745: -7.2300e-06,
            750: -4.8700e-06,
            755: -3.2900e-06,
            760: -2.2200e-06,
            765: -1.5000e-06,
            770: -1.0200e-06,
            775: -6.8800e-07,
            780: -4.6500e-07,
            785: -3.1200e-07,
            790: -2.0800e-07,
            795: -1.3700e-07,
            800: -8.8000e-08,
            805: -5.5300e-08,
            810: -3.3600e-08,
            815: -1.9600e-08,
            820: -1.0900e-08,
            825: -5.7000e-09,
            830: -2.7700e-09},
        'b_bar': {
            390: 6.2000e-03,
            395: 1.6100e-02,
            400: 4.0000e-02,
            405: 9.0600e-02,
            410: 1.8020e-01,
            415: 3.0880e-01,
            420: 4.6700e-01,
            425: 6.1520e-01,
            430: 7.6380e-01,
            435: 8.7780e-01,
            440: 9.7550e-01,
            445: 1.0019e+00,
            450: 9.9960e-01,
            455: 9.1390e-01,
            460: 8.2970e-01,
            465: 7.4170e-01,
            470: 6.1340e-01,
            475: 4.7200e-01,
            480: 3.4950e-01,
            485: 2.5640e-01,
            490: 1.8190e-01,
            495: 1.3070e-01,
            500: 9.1000e-02,
            505: 5.8000e-02,
            510: 3.5700e-02,
            515: 2.0000e-02,
            520: 9.5000e-03,
            525: 7.0000e-04,
            530: -4.3000e-03,
            535: -6.4000e-03,
            540: -8.2000e-03,
            545: -9.4000e-03,
            550: -9.7000e-03,
            555: -9.7000e-03,
            560: -9.3000e-03,
            565: -8.7000e-03,
            570: -8.0000e-03,
            575: -7.3000e-03,
            580: -6.3000e-03,
            585: -5.3700e-03,
            590: -4.4500e-03,
            595: -3.5700e-03,
            600: -2.7700e-03,
            605: -2.0800e-03,
            610: -1.5000e-03,
            615: -1.0300e-03,
            620: -6.8000e-04,
            625: -4.4200e-04,
            630: -2.7200e-04,
            635: -1.4100e-04,
            640: -5.4900e-05,
            645: -2.2000e-06,
            650: 2.3700e-05,
            655: 2.8600e-05,
            660: 2.6100e-05,
            665: 2.2500e-05,
            670: 1.8200e-05,
            675: 1.3900e-05,
            680: 1.0300e-05,
            685: 7.3800e-06,
            690: 5.2200e-06,
            695: 3.6700e-06,
            700: 2.5600e-06,
            705: 1.7600e-06,
            710: 1.2000e-06,
            715: 8.1700e-07,
            720: 5.5500e-07,
            725: 3.7500e-07,
            730: 2.5400e-07,
            735: 1.7100e-07,
            740: 1.1600e-07,
            745: 7.8500e-08,
            750: 5.3100e-08,
            755: 3.6000e-08,
            760: 2.4400e-08,
            765: 1.6500e-08,
            770: 1.1200e-08,
            775: 7.5300e-09,
            780: 5.0700e-09,
            785: 3.4000e-09,
            790: 2.2700e-09,
            795: 1.5000e-09,
            800: 9.8600e-10,
            805: 6.3900e-10,
            810: 4.0700e-10,
            815: 2.5300e-10,
            820: 1.5200e-10,
            825: 8.6400e-11,
            830: 4.4200e-11}}}

RGB_CMFS = CaseInsensitiveMapping(
    {'Wright & Guild 1931 2 Degree RGB CMFs': RGB_ColourMatchingFunctions(
        'Wright & Guild 1931 2 Degree RGB CMFs',
        RGB_CMFS_DATA.get('Wright & Guild 1931 2 Degree RGB CMFs')),
     'Stiles & Burch 1955 2 Degree RGB CMFs': RGB_ColourMatchingFunctions(
         'Stiles & Burch 1955 2 Degree RGB CMFs',
         RGB_CMFS_DATA.get('Stiles & Burch 1955 2 Degree RGB CMFs')),
     'Stiles & Burch 1959 10 Degree RGB CMFs': RGB_ColourMatchingFunctions(
         'Stiles & Burch 1959 10 Degree RGB CMFs',
         RGB_CMFS_DATA.get('Stiles & Burch 1959 10 Degree RGB CMFs'))})
"""
*CIE RGB* colour matching functions.

RGB_CMFS : dict
    ('Wright & Guild 1931 2 Degree RGB CMFs',
    'Stiles & Burch 1955 2 Degree RGB CMFs',
    'Stiles & Burch 1959 10 Degree RGB CMFs')
"""

STANDARD_OBSERVERS_CMFS_DATA = {
    'CIE 1931 2 Degree Standard Observer': {
        'x_bar': {
            360: 0.000129900000,
            361: 0.000145847000,
            362: 0.000163802100,
            363: 0.000184003700,
            364: 0.000206690200,
            365: 0.000232100000,
            366: 0.000260728000,
            367: 0.000293075000,
            368: 0.000329388000,
            369: 0.000369914000,
            370: 0.000414900000,
            371: 0.000464158700,
            372: 0.000518986000,
            373: 0.000581854000,
            374: 0.000655234700,
            375: 0.000741600000,
            376: 0.000845029600,
            377: 0.000964526800,
            378: 0.001094949000,
            379: 0.001231154000,
            380: 0.001368000000,
            381: 0.001502050000,
            382: 0.001642328000,
            383: 0.001802382000,
            384: 0.001995757000,
            385: 0.002236000000,
            386: 0.002535385000,
            387: 0.002892603000,
            388: 0.003300829000,
            389: 0.003753236000,
            390: 0.004243000000,
            391: 0.004762389000,
            392: 0.005330048000,
            393: 0.005978712000,
            394: 0.006741117000,
            395: 0.007650000000,
            396: 0.008751373000,
            397: 0.010028880000,
            398: 0.011421700000,
            399: 0.012869010000,
            400: 0.014310000000,
            401: 0.015704430000,
            402: 0.017147440000,
            403: 0.018781220000,
            404: 0.020748010000,
            405: 0.023190000000,
            406: 0.026207360000,
            407: 0.029782480000,
            408: 0.033880920000,
            409: 0.038468240000,
            410: 0.043510000000,
            411: 0.048995600000,
            412: 0.055022600000,
            413: 0.061718800000,
            414: 0.069212000000,
            415: 0.077630000000,
            416: 0.086958110000,
            417: 0.097176720000,
            418: 0.108406300000,
            419: 0.120767200000,
            420: 0.134380000000,
            421: 0.149358200000,
            422: 0.165395700000,
            423: 0.181983100000,
            424: 0.198611000000,
            425: 0.214770000000,
            426: 0.230186800000,
            427: 0.244879700000,
            428: 0.258777300000,
            429: 0.271807900000,
            430: 0.283900000000,
            431: 0.294943800000,
            432: 0.304896500000,
            433: 0.313787300000,
            434: 0.321645400000,
            435: 0.328500000000,
            436: 0.334351300000,
            437: 0.339210100000,
            438: 0.343121300000,
            439: 0.346129600000,
            440: 0.348280000000,
            441: 0.349599900000,
            442: 0.350147400000,
            443: 0.350013000000,
            444: 0.349287000000,
            445: 0.348060000000,
            446: 0.346373300000,
            447: 0.344262400000,
            448: 0.341808800000,
            449: 0.339094100000,
            450: 0.336200000000,
            451: 0.333197700000,
            452: 0.330041100000,
            453: 0.326635700000,
            454: 0.322886800000,
            455: 0.318700000000,
            456: 0.314025100000,
            457: 0.308884000000,
            458: 0.303290400000,
            459: 0.297257900000,
            460: 0.290800000000,
            461: 0.283970100000,
            462: 0.276721400000,
            463: 0.268917800000,
            464: 0.260422700000,
            465: 0.251100000000,
            466: 0.240847500000,
            467: 0.229851200000,
            468: 0.218407200000,
            469: 0.206811500000,
            470: 0.195360000000,
            471: 0.184213600000,
            472: 0.173327300000,
            473: 0.162688100000,
            474: 0.152283300000,
            475: 0.142100000000,
            476: 0.132178600000,
            477: 0.122569600000,
            478: 0.113275200000,
            479: 0.104297900000,
            480: 0.095640000000,
            481: 0.087299550000,
            482: 0.079308040000,
            483: 0.071717760000,
            484: 0.064580990000,
            485: 0.057950010000,
            486: 0.051862110000,
            487: 0.046281520000,
            488: 0.041150880000,
            489: 0.036412830000,
            490: 0.032010000000,
            491: 0.027917200000,
            492: 0.024144400000,
            493: 0.020687000000,
            494: 0.017540400000,
            495: 0.014700000000,
            496: 0.012161790000,
            497: 0.009919960000,
            498: 0.007967240000,
            499: 0.006296346000,
            500: 0.004900000000,
            501: 0.003777173000,
            502: 0.002945320000,
            503: 0.002424880000,
            504: 0.002236293000,
            505: 0.002400000000,
            506: 0.002925520000,
            507: 0.003836560000,
            508: 0.005174840000,
            509: 0.006982080000,
            510: 0.009300000000,
            511: 0.012149490000,
            512: 0.015535880000,
            513: 0.019477520000,
            514: 0.023992770000,
            515: 0.029100000000,
            516: 0.034814850000,
            517: 0.041120160000,
            518: 0.047985040000,
            519: 0.055378610000,
            520: 0.063270000000,
            521: 0.071635010000,
            522: 0.080462240000,
            523: 0.089739960000,
            524: 0.099456450000,
            525: 0.109600000000,
            526: 0.120167400000,
            527: 0.131114500000,
            528: 0.142367900000,
            529: 0.153854200000,
            530: 0.165500000000,
            531: 0.177257100000,
            532: 0.189140000000,
            533: 0.201169400000,
            534: 0.213365800000,
            535: 0.225749900000,
            536: 0.238320900000,
            537: 0.251066800000,
            538: 0.263992200000,
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            540: 0.290400000000,
            541: 0.303891200000,
            542: 0.317572600000,
            543: 0.331438400000,
            544: 0.345482800000,
            545: 0.359700000000,
            546: 0.374083900000,
            547: 0.388639600000,
            548: 0.403378400000,
            549: 0.418311500000,
            550: 0.433449900000,
            551: 0.448795300000,
            552: 0.464336000000,
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            556: 0.528295900000,
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            558: 0.561209400000,
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            560: 0.594500000000,
            561: 0.611220900000,
            562: 0.627975800000,
            563: 0.644760200000,
            564: 0.661569700000,
            565: 0.678400000000,
            566: 0.695239200000,
            567: 0.712058600000,
            568: 0.728828400000,
            569: 0.745518800000,
            570: 0.762100000000,
            571: 0.778543200000,
            572: 0.794825600000,
            573: 0.810926400000,
            574: 0.826824800000,
            575: 0.842500000000,
            576: 0.857932500000,
            577: 0.873081600000,
            578: 0.887894400000,
            579: 0.902318100000,
            580: 0.916300000000,
            581: 0.929799500000,
            582: 0.942798400000,
            583: 0.955277600000,
            584: 0.967217900000,
            585: 0.978600000000,
            586: 0.989385600000,
            587: 0.999548800000,
            588: 1.009089200000,
            589: 1.018006400000,
            590: 1.026300000000,
            591: 1.033982700000,
            592: 1.040986000000,
            593: 1.047188000000,
            594: 1.052466700000,
            595: 1.056700000000,
            596: 1.059794400000,
            597: 1.061799200000,
            598: 1.062806800000,
            599: 1.062909600000,
            600: 1.062200000000,
            601: 1.060735200000,
            602: 1.058443600000,
            603: 1.055224400000,
            604: 1.050976800000,
            605: 1.045600000000,
            606: 1.039036900000,
            607: 1.031360800000,
            608: 1.022666200000,
            609: 1.013047700000,
            610: 1.002600000000,
            611: 0.991367500000,
            612: 0.979331400000,
            613: 0.966491600000,
            614: 0.952847900000,
            615: 0.938400000000,
            616: 0.923194000000,
            617: 0.907244000000,
            618: 0.890502000000,
            619: 0.872920000000,
            620: 0.854449900000,
            621: 0.835084000000,
            622: 0.814946000000,
            623: 0.794186000000,
            624: 0.772954000000,
            625: 0.751400000000,
            626: 0.729583600000,
            627: 0.707588800000,
            628: 0.685602200000,
            629: 0.663810400000,
            630: 0.642400000000,
            631: 0.621514900000,
            632: 0.601113800000,
            633: 0.581105200000,
            634: 0.561397700000,
            635: 0.541900000000,
            636: 0.522599500000,
            637: 0.503546400000,
            638: 0.484743600000,
            639: 0.466193900000,
            640: 0.447900000000,
            641: 0.429861300000,
            642: 0.412098000000,
            643: 0.394644000000,
            644: 0.377533300000,
            645: 0.360800000000,
            646: 0.344456300000,
            647: 0.328516800000,
            648: 0.313019200000,
            649: 0.298001100000,
            650: 0.283500000000,
            651: 0.269544800000,
            652: 0.256118400000,
            653: 0.243189600000,
            654: 0.230727200000,
            655: 0.218700000000,
            656: 0.207097100000,
            657: 0.195923200000,
            658: 0.185170800000,
            659: 0.174832300000,
            660: 0.164900000000,
            661: 0.155366700000,
            662: 0.146230000000,
            663: 0.137490000000,
            664: 0.129146700000,
            665: 0.121200000000,
            666: 0.113639700000,
            667: 0.106465000000,
            668: 0.099690440000,
            669: 0.093330610000,
            670: 0.087400000000,
            671: 0.081900960000,
            672: 0.076804280000,
            673: 0.072077120000,
            674: 0.067686640000,
            675: 0.063600000000,
            676: 0.059806850000,
            677: 0.056282160000,
            678: 0.052971040000,
            679: 0.049818610000,
            680: 0.046770000000,
            681: 0.043784050000,
            682: 0.040875360000,
            683: 0.038072640000,
            684: 0.035404610000,
            685: 0.032900000000,
            686: 0.030564190000,
            687: 0.028380560000,
            688: 0.026344840000,
            689: 0.024452750000,
            690: 0.022700000000,
            691: 0.021084290000,
            692: 0.019599880000,
            693: 0.018237320000,
            694: 0.016987170000,
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            696: 0.014790640000,
            697: 0.013831320000,
            698: 0.012948680000,
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            700: 0.011359160000,
            701: 0.010629350000,
            702: 0.009938846000,
            703: 0.009288422000,
            704: 0.008678854000,
            705: 0.008110916000,
            706: 0.007582388000,
            707: 0.007088746000,
            708: 0.006627313000,
            709: 0.006195408000,
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            712: 0.005052583000,
            713: 0.004717512000,
            714: 0.004403507000,
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            719: 0.003109075000,
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            721: 0.002704348000,
            722: 0.002523020000,
            723: 0.002354168000,
            724: 0.002196616000,
            725: 0.002049190000,
            726: 0.001910960000,
            727: 0.001781438000,
            728: 0.001660110000,
            729: 0.001546459000,
            730: 0.001439971000,
            731: 0.001340042000,
            732: 0.001246275000,
            733: 0.001158471000,
            734: 0.001076430000,
            735: 0.000999949300,
            736: 0.000928735800,
            737: 0.000862433200,
            738: 0.000800750300,
            739: 0.000743396000,
            740: 0.000690078600,
            741: 0.000640515600,
            742: 0.000594502100,
            743: 0.000551864600,
            744: 0.000512429000,
            745: 0.000476021300,
            746: 0.000442453600,
            747: 0.000411511700,
            748: 0.000382981400,
            749: 0.000356649100,
            750: 0.000332301100,
            751: 0.000309758600,
            752: 0.000288887100,
            753: 0.000269539400,
            754: 0.000251568200,
            755: 0.000234826100,
            756: 0.000219171000,
            757: 0.000204525800,
            758: 0.000190840500,
            759: 0.000178065400,
            760: 0.000166150500,
            761: 0.000155023600,
            762: 0.000144621900,
            763: 0.000134909800,
            764: 0.000125852000,
            765: 0.000117413000,
            766: 0.000109551500,
            767: 0.000102224500,
            768: 0.000095394450,
            769: 0.000089023900,
            770: 0.000083075270,
            771: 0.000077512690,
            772: 0.000072313040,
            773: 0.000067457780,
            774: 0.000062928440,
            775: 0.000058706520,
            776: 0.000054770280,
            777: 0.000051099180,
            778: 0.000047676540,
            779: 0.000044485670,
            780: 0.000041509940,
            781: 0.000038733240,
            782: 0.000036142030,
            783: 0.000033723520,
            784: 0.000031464870,
            785: 0.000029353260,
            786: 0.000027375730,
            787: 0.000025524330,
            788: 0.000023793760,
            789: 0.000022178700,
            790: 0.000020673830,
            791: 0.000019272260,
            792: 0.000017966400,
            793: 0.000016749910,
            794: 0.000015616480,
            795: 0.000014559770,
            796: 0.000013573870,
            797: 0.000012654360,
            798: 0.000011797230,
            799: 0.000010998440,
            800: 0.000010253980,
            801: 0.000009559646,
            802: 0.000008912044,
            803: 0.000008308358,
            804: 0.000007745769,
            805: 0.000007221456,
            806: 0.000006732475,
            807: 0.000006276423,
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            809: 0.000005455118,
            810: 0.000005085868,
            811: 0.000004741466,
            812: 0.000004420236,
            813: 0.000004120783,
            814: 0.000003841716,
            815: 0.000003581652,
            816: 0.000003339127,
            817: 0.000003112949,
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            821: 0.000002351726,
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            823: 0.000002043902,
            824: 0.000001905497,
            825: 0.000001776509,
            826: 0.000001656215,
            827: 0.000001544022,
            828: 0.000001439440,
            829: 0.000001341977,
            830: 0.000001251141},
        'y_bar': {
            360: 0.000003917000,
            361: 0.000004393581,
            362: 0.000004929604,
            363: 0.000005532136,
            364: 0.000006208245,
            365: 0.000006965000,
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            381: 0.000042826400,
            382: 0.000046914600,
            383: 0.000051589600,
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            388: 0.000093508160,
            389: 0.000106136100,
            390: 0.000120000000,
            391: 0.000134984000,
            392: 0.000151492000,
            393: 0.000170208000,
            394: 0.000191816000,
            395: 0.000217000000,
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            397: 0.000281240000,
            398: 0.000318520000,
            399: 0.000357266700,
            400: 0.000396000000,
            401: 0.000433714700,
            402: 0.000473024000,
            403: 0.000517876000,
            404: 0.000572218700,
            405: 0.000640000000,
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