#!/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 and 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] CVRL. (n.d.). Cone Fundamentals. Retrieved June 23, 2014,
from http://www.cvrl.org/cones.htm
.. [2] Broadbent, A. D. (2009). Calculation from the original experimental
data of the CIE 1931 RGB standard observer spectral chromaticity
co-ordinates and color matching functions. Retrieved June 12, 2014,
from http://www.cis.rit.edu/mcsl/research/1931.php
.. [3] CVRL. (n.d.). Stiles & Burch individual 10-deg colour matching data.
Retrieved February 24, 2014, from
http://www.cvrl.org/stilesburch10_ind.htm
.. [4] CVRL. (n.d.). Stiles & Burch individual 2-deg colour matching data.
Retrieved February 24, 2014, from
http://www.cvrl.org/stilesburch2_ind.htm
.. [5] CVRL. (n.d.). Older CIE Standards. Retrieved February 24, 2014, from
http://cvrl.ioo.ucl.ac.uk/cie.htm
.. [6] CVRL. (n.d.). New CIE XYZ functions transformed from the CIE (2006)
LMS functions. Retrieved February 24, 2014, from
http://cvrl.ioo.ucl.ac.uk/ciexyzpr.htm
"""
from __future__ import division, unicode_literals
from colour.colorimetry import LMS_ConeFundamentals
from colour.colorimetry import RGB_ColourMatchingFunctions
from colour.colorimetry import XYZ_ColourMatchingFunctions
from colour.utilities import CaseInsensitiveMapping
__author__ = 'Colour Developers'
__copyright__ = 'Copyright (C) 2013 - 2015 - 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,
480: 2.35754e-01,
481: 2.42108e-01,
482: 2.48545e-01,
483: 2.55037e-01,
484: 2.61554e-01,
485: 2.68063e-01,
486: 2.74561e-01,
487: 2.81180e-01,
488: 2.88097e-01,
489: 2.95508e-01,
490: 3.03630e-01,
491: 3.12649e-01,
492: 3.22565e-01,
493: 3.33319e-01,
494: 3.44844e-01,
495: 3.57061e-01,
496: 3.69895e-01,
497: 3.83355e-01,
498: 3.97467e-01,
499: 4.12260e-01,
500: 4.27764e-01,
501: 4.44001e-01,
502: 4.60947e-01,
503: 4.78562e-01,
504: 4.96795e-01,
505: 5.15587e-01,
506: 5.34868e-01,
507: 5.54575e-01,
508: 5.74640e-01,
509: 5.94984e-01,
510: 6.15520e-01,
511: 6.36162e-01,
512: 6.56872e-01,
513: 6.77624e-01,
514: 6.98393e-01,
515: 7.19154e-01,
516: 7.39844e-01,
517: 7.60235e-01,
518: 7.80039e-01,
519: 7.98941e-01,
520: 8.16610e-01,
521: 8.32783e-01,
522: 8.47550e-01,
523: 8.61113e-01,
524: 8.73698e-01,
525: 8.85550e-01,
526: 8.96873e-01,
527: 9.07638e-01,
528: 9.17757e-01,
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812: 2.27920e-07,
813: 2.15603e-07,
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816: 1.82829e-07,
817: 1.73134e-07,
818: 1.63969e-07,
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820: 1.47054e-07,
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827: 1.00093e-07,
828: 9.47349e-08,
829: 8.96718e-08,
830: 8.48902e-08},
's_bar': {
390: 6.14265e-03,
391: 7.44280e-03,
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393: 1.09170e-02,
394: 1.32053e-02,
395: 1.59515e-02,
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600: 1.01356e-05,
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611: 4.09850e-06,
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613: 3.49911e-06,
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615: 2.99354e-06,
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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 2$^\\circ$ 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'),
'Stockman & Sharpe 10$^\\circ$ Cone Fundamentals')})
"""
*LMS* colour matching functions.
LMS_CMFS : CaseInsensitiveMapping
{'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,
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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'),
'Wright & Guild 1931 2$^\\circ$ 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 1955 2$^\\circ$ 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'),
'Stiles & Burch 1959 10$^\\circ$ RGB CMFs')})
"""
*CIE RGB* colour matching functions.
RGB_CMFS : CaseInsensitiveMapping
{'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,
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STANDARD_OBSERVERS_CMFS = CaseInsensitiveMapping(
{'CIE 1931 2 Degree Standard Observer': XYZ_ColourMatchingFunctions(
'CIE 1931 2 Degree Standard Observer',
STANDARD_OBSERVERS_CMFS_DATA.get(
'CIE 1931 2 Degree Standard Observer'),
'CIE 1931 2$^\\circ$ Standard Observer'),
'CIE 1964 10 Degree Standard Observer': XYZ_ColourMatchingFunctions(
'CIE 1964 10 Degree Standard Observer',
STANDARD_OBSERVERS_CMFS_DATA.get(
'CIE 1964 10 Degree Standard Observer'),
'CIE 1964 10$^\\circ$ Standard Observer'),
'CIE 2012 2 Degree Standard Observer': XYZ_ColourMatchingFunctions(
'CIE 2012 2 Degree Standard Observer',
STANDARD_OBSERVERS_CMFS_DATA.get(
'CIE 2012 2 Degree Standard Observer'),
'CIE 2012 2$^\\circ$ Standard Observer'),
'CIE 2012 10 Degree Standard Observer': XYZ_ColourMatchingFunctions(
'CIE 2012 10 Degree Standard Observer',
STANDARD_OBSERVERS_CMFS_DATA.get(
'CIE 2012 10 Degree Standard Observer'),
'CIE 2012 10$^\\circ$ Standard Observer')})
"""
*CIE* Standard Observers *XYZ* colour matching functions.
STANDARD_OBSERVERS_CMFS : CaseInsensitiveMapping
{'CIE 1931 2 Degree Standard Observer',
'CIE 1964 10 Degree Standard Observer',
'CIE 2012 2 Degree Standard Observer',
'CIE 2012 10 Degree Standard Observer'}
Aliases:
- 'cie_2_1931': 'CIE 1931 2 Degree Standard Observer'
- 'cie_10_1964': 'CIE 1964 10 Degree Standard Observer'
"""
STANDARD_OBSERVERS_CMFS['cie_2_1931'] = (
STANDARD_OBSERVERS_CMFS['CIE 1931 2 Degree Standard Observer'])
STANDARD_OBSERVERS_CMFS['cie_10_1964'] = (
STANDARD_OBSERVERS_CMFS['CIE 1964 10 Degree Standard Observer'])
CMFS = CaseInsensitiveMapping(LMS_CMFS)
"""
Aggregated colour matching functions.
CMFS : CaseInsensitiveMapping
{'Stockman & Sharpe 10 Degree Cone Fundamentals',
'Stockman & Sharpe 2 Degree Cone Fundamentals',
'Wright & Guild 1931 2 Degree RGB CMFs',
'Stiles & Burch 1955 2 Degree RGB CMFs',
'Stiles & Burch 1959 10 Degree RGB CMFs',
'CIE 1931 2 Degree Standard Observer',
'CIE 1964 10 Degree Standard Observer',
'CIE 2012 2 Degree Standard Observer',
'CIE 2012 10 Degree Standard Observer'}
"""
CMFS.update(RGB_CMFS)
CMFS.update(STANDARD_OBSERVERS_CMFS)
Colour 0.3