Source code for colour.models.rgb.transfer_functions.blackmagic_design

"""
Blackmagic Design Transfer Functions
====================================

Define the *Blackmagic Design* colour component transfer functions:

-   :func:`colour.models.oetf_BlackmagicFilmGeneration5`
-   :func:`colour.models.oetf_inverse_BlackmagicFilmGeneration5`

References
----------
-   :cite:`BlackmagicDesign2021` : Blackmagic Design. (2021). Blackmagic
    Generation 5 Color Science. https://drive.google.com/file/d/\
1FF5WO2nvI9GEWb4_EntrBoV9ZIuFToZd/view
"""

from __future__ import annotations

import numpy as np

from colour.hints import ArrayLike, NDArrayFloat
from colour.utilities import Structure, as_float, from_range_1, to_domain_1

__author__ = "Colour Developers"
__copyright__ = "Copyright 2013 Colour Developers"
__license__ = "BSD-3-Clause - https://opensource.org/licenses/BSD-3-Clause"
__maintainer__ = "Colour Developers"
__email__ = "colour-developers@colour-science.org"
__status__ = "Production"

__all__ = [
    "CONSTANTS_BLACKMAGIC_FILM_GENERATION_5",
    "oetf_BlackmagicFilmGeneration5",
    "oetf_inverse_BlackmagicFilmGeneration5",
]

CONSTANTS_BLACKMAGIC_FILM_GENERATION_5: Structure = Structure(
    A=0.08692876065491224,
    B=0.005494072432257808,
    C=0.5300133392291939,
    D=8.283605932402494,
    E=0.09246575342465753,
    LIN_CUT=0.005,
)
"""*Blackmagic Film Generation 5* colour component transfer functions constants."""


[docs] def oetf_BlackmagicFilmGeneration5( x: ArrayLike, constants: Structure = CONSTANTS_BLACKMAGIC_FILM_GENERATION_5, ) -> NDArrayFloat: """ Define the *Blackmagic Film Generation 5* opto-electronic transfer function (OETF). Parameters ---------- x Linear light value :math`x`. constants *Blackmagic Film Generation 5* constants. Returns ------- :class:`numpy.ndarray` Encoded value :math:`y`. Notes ----- +------------+-----------------------+---------------+ | **Domain** | **Scale - Reference** | **Scale - 1** | +============+=======================+===============+ | ``x`` | [0, 1] | [0, 1] | +------------+-----------------------+---------------+ +------------+-----------------------+---------------+ | **Range** | **Scale - Reference** | **Scale - 1** | +============+=======================+===============+ | ``y`` | [0, 1] | [0, 1] | +------------+-----------------------+---------------+ References ---------- :cite:`BlackmagicDesign2021` Examples -------- >>> oetf_BlackmagicFilmGeneration5(0.18) # doctest: +ELLIPSIS 0.3835616... """ x = to_domain_1(x) A = constants.A B = constants.B C = constants.C D = constants.D E = constants.E LIN_CUT = constants.LIN_CUT V_out = np.where( x < LIN_CUT, D * x + E, A * np.log(x + B) + C, ) return as_float(from_range_1(V_out))
[docs] def oetf_inverse_BlackmagicFilmGeneration5( y: ArrayLike, constants: Structure = CONSTANTS_BLACKMAGIC_FILM_GENERATION_5, ) -> NDArrayFloat: """ Define the *Blackmagic Film Generation 5* inverse opto-electronic transfer function (OETF). Parameters ---------- y Encoded value :math:`y`. constants *Blackmagic Film Generation 5* constants. Returns ------- :class:`numpy.ndarray` Linear light value :math`x`. Notes ----- +------------+-----------------------+---------------+ | **Domain** | **Scale - Reference** | **Scale - 1** | +============+=======================+===============+ | ``y`` | [0, 1] | [0, 1] | +------------+-----------------------+---------------+ +------------+-----------------------+---------------+ | **Range** | **Scale - Reference** | **Scale - 1** | +============+=======================+===============+ | ``x`` | [0, 1] | [0, 1] | +------------+-----------------------+---------------+ References ---------- :cite:`BlackmagicDesign2021` Examples -------- >>> oetf_inverse_BlackmagicFilmGeneration5(0.38356164383561653) ... # doctest: +ELLIPSIS 0.1799999... """ y = to_domain_1(y) A = constants.A B = constants.B C = constants.C D = constants.D E = constants.E LIN_CUT = constants.LIN_CUT LOG_CUT = D * LIN_CUT + E x = np.where( y < LOG_CUT, (y - E) / D, np.exp((y - C) / A) - B, ) return as_float(from_range_1(x))