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TransformsPack - Transfers.avsi
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TransformsPack - Transfers.avsi
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###########################################################
### ##
### ##
### Transforms Pack - Transfers v2.2.1 (19-02-2024) ##
### ##
### https://forum.doom9.org/showthread.php?t=182881 ##
### ##
### by Dogway (Jose Linares) ##
### ##
### TRANSFERS: ##
### CCTF ##
### moncurve_f / moncurve_r ##
### ACEScct_f / ACEScct_r ##
### EOTF_1886a / EOTFi_1886a ##
### EOTF_Apple / EOTFi_Apple ##
### EOTF_Chrome / EOTFi_Chrome ##
### EOTF_SLOG2 / EOTFi_SLOG2 ##
### EOTF_XYB / EOTFi_XYB ##
### EOTF_PQ / EOTFi_PQ ##
### EOTF_HLG / EOTFi_HLG ##
### EOTFi_PQtoHLG ##
### LOOKS: ##
### OOTF ##
### OOTF_HLG / OOTFi_HLG ##
### LMT_EMoR / LMTi_EMoR ##
### LMT_DCP / LMTi_DCP ##
### Display_Sim ##
### TONEMAPPERS: ##
### TM_2446C ##
### TM_Hable ##
### TM_DRT ##
### TM_Daniele ##
### RANGE: ##
### SMPTE_legal ##
### Full_scale ##
### SoftLimiter ##
### ##
###########################################################
###
###
###
##########################################
### ##
### TRANSFER FUNCTIONS ##
### ##
##########################################
###
### Known by many names;
### Gamma -γ-
### Conversion Function -CF-
### Tone Response Curve -TRC-
### Tone Response Functions -TRF-
### Transfer Function -TF-
### Color Component Transfer Function -CCTF-
### Rendering Transform -RT-
### Tone Scale (like the Single-Stage Tone Scale -SSTS-)
# -linear
# -470BG
# -470M
# -170M / 709-Camera
# -240M
# -sRGB
# -1886
# -1886a
# -AdobeRGB
# -DCI-P3/XYZ
# -Chrome
# -CIELab
# -AppleRGB
# xvYCC
# -PQ - Perceptual Quantize
# ST.2084
# -BT.2100
# -HLG - Hybrid Log-Gamma
# ARIB STD-B67 (by BBC/NHK. RefWhite @ 0.50)
# -BT.2100 (by ITU. RefWhite @ 0.75)
# ACESCC
# -ACESCCt
# Arri LogC
# BMDFilm
# Bolex Log
# CanonLog
# CanonLog2
# CanonLog3
# Cineon
# DJI D-Log
# Fuji F-Log
# GoPro ProTune Flat
# JPLog
# Nikon N-Log
# Panasonic V-Log
# Phantom Log 1 Normalized
# Phantom Log 2 Normalized
# RED Log3G10
# RED Log3G12
# RED LogFilm
# Log100
# Log316
# FS-Log
# Sony S-Log
# -Sony S-Log2
# Sony S-Log3
# logc2
# logc3
# ZLog2
# -OpenDRT
# JzDT
# AgX
### CCTF() or Color Component Transfer Function, comprehends EOTF/OETFi (forward=true) and OETF/EOTFi (forward=false).
### Use this function as the main transfer function to use for different CCTFs that matches 'transfer' string.
###
### Function Definition:
### (
### clip,
### string "transfer"="sRGB" ("linear"/ "1886a"/ "1886"/ "470M"/ "470BG"/ "240M"/ "170M"/ "709-Camera"/ "sRGB"/ "AdobeRGB"/ "CIELab"/ "Apple"/ "Chrome"/ "xvYCC"/ "PhotoCD"/ "2020NCL"/ "2020CL"/ "DCIXYZ"/ "PQ"/ "HLG"/ "HLG ARIB"/ "ACESCCt"/ "log100"/ "log316"/ "1361"),
### [bool "fw"=true],
### [bool "tv_in"=false],
### [bool "tv_out"=false],
### [bool "show"=false]
### )
###
function CCTF (clip c, string "transfer", bool "fw", bool "tv_in", bool "tv_out", bool "show") {
c
rgb = isRGB()
fs = propNumElements ("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
trans = Default(transfer, "sRGB")
fw = Default(fw, true ) # forward; true (to linear), false (from linear)
tv_in = Default(tv_in, !fs)
tv_out = Default(tv_out, tv_in)
sh = Default(show, false)
TRC = color_Fuzzy_Search(trans)
trans = TRC[2]
s_gam = moncurve_coef(trans)
(trans == "1886a" ) ? fw ? EOTF_1886a (tv_in=tv_in,tv_out=tv_out) : EOTFi_1886a (tv_in=tv_in,tv_out=tv_out)
\ : (trans == "AppleRGB" ) ? fw ? EOTF_Apple (tv_in=tv_in,tv_out=tv_out) : EOTFi_Apple (tv_in=tv_in,tv_out=tv_out)
\ : (trans == "Chrome" ) ? fw ? EOTF_Chrome(tv_in=tv_in,tv_out=tv_out) : EOTFi_Chrome(tv_in=tv_in,tv_out=tv_out)
\ : (trans == "XYB" ) ? fw ? EOTF_XYB (tv_in=tv_in,tv_out=tv_out) : EOTFi_XYB (tv_in=tv_in,tv_out=tv_out)
\ : (trans == "PQ" ) ? fw ? EOTF_PQ (tv_in=tv_in,tv_out=tv_out) : EOTFi_PQ (tv_in=tv_in,tv_out=tv_out)
\ : (trans == "HLG" ) ? fw ? EOTF_HLG (tv_in=tv_in,tv_out=tv_out) : EOTFi_HLG (tv_in=tv_in,tv_out=tv_out)
\ : (trans == "ACESCCt" ) ? fw ? ACEScct_f (tv_in,tv_out,3) : ACEScct_r (tv_in,tv_out,3)
\ : fw ? moncurve_f(s_gam[0],s_gam[1],tv_in,tv_out,3) : \
moncurve_r(s_gam[0],s_gam[1],tv_in,tv_out,3).propSet("_Transfer",TRC[6])
#\ : (trans == "xvYCC" ) ? fw ? EOTF_xvYCC (tv_in=tv_in,tv_out=tv_out) : EOTFi_xvYCC (tv_in=tv_in,tv_out=tv_out)
#\ : (trans == "PhotoCD" ) ? fw ? EOTF_PhotoCD(tv_in=tv_in,tv_out=tv_out) : EOTFi_PhotoCD(tv_in=tv_in,tv_out=tv_out)
propSet("_ColorRange", tv_out ? 1 : 0 )
if (sh) {
BitsPerComponent(c) > 8 ? ConvertBits(8,dither=1,fulls=!tv_out) : last
w = c.width()
h = c.height()
sw = nmod(w/5.) sh = min(h,sw)
plt = GradientLinear(last,zoom=1, precision=2, positive=true, smooth=true, tv_range=false)
plt = CCTF(plt, trans, fw, false, false, false)
plt = HistoCurve(plt,size=2,gradient=false).BicubicResize(sw,sh,-0.5,0.25)
plt = rgb ? plt.ConvertToPlanarRGB() : plt
plt = Merge(PadBorders(plt.subtitle(string(trans)),w-sw,0,0,h-sh))
ex_merge(plt,BoxMask(w-sw,w,0,sh),UV=3)
} }
# EOTF/OETFi. Monitor Curve Functions: https://github.com/ampas/aces-dev
function moncurve_f (clip c, float "gamma", float "alpha", bool "tv_range_in", bool "tv_range_out", int "UV") {
c
rgb = IsRGB()
isy = isy()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
lut = bi == 32 || isRunTime(c,rgb) ? 0 : 1
gamma = Default(gamma, 1/0.45) # gamma
alpha = Default(alpha, 0.0 ) # extension in x coords of the linear part
tv_in = Default(tv_range_in, !fs)
tv_out = Default(tv_range_out, tv_in)
UV = Default(UV, rgb ? 3 : 1 ) # Chroma planes TV<->PC conversion or not
si = ex_UVf(rgb, bi)
rangePC = tv_in ? "ymin - ymax ymin - /" : bi==32 ? "" : "range_max /"
rangeTV = ex_dlut(tv_out ? "ymax ymin - * ymin +" : bi==32 ? "" : "range_max *", bi, !tv_out)
beta = (( gamma - 1.0) / alpha) * pow( alpha * gamma / ( ( gamma - 1.0) * ( 1.0 + alpha)), gamma)
phi = alpha / ( gamma - 1.0)
aplus = 1 / (1. + alpha)
eps = 8 < bi < 32 ? "0.001 -" : ""
str = alpha > 0 ? Format("range_min x "+rangePC+" max A@ {phi} > A {alpha} + {aplus} * {gamma} ^ A {beta} * ? "+rangeTV) : \
Format("range_min x "+rangePC+" "+eps+" max {gamma} ^ "+rangeTV+"")
str = ex_dlut( str, bi, !tv_in)
cstr = rgb ? str : UVRange_construct(tv_in,tv_out,bi,UV)
gamma <= 1.0 ? tv_in!=tv_out ? SMPTE_legal() : last : \
isy ? Expr(str , lut=lut) : \
UV == 1 ? Expr(str, "" , lut=lut) : \
Expr(str, cstr, scale_inputs=si, lut=lut)
propSet("_Transfer", 8 )
gamma > 1.0 ? tv_in!=tv_out? propSet("_ColorRange", tv_out?1:0) : last : last }
# OETF/EOTFi. Monitor Curve Functions: https://github.com/ampas/aces-dev
function moncurve_r (clip c, float "gamma", float "alpha", bool "tv_range_in", bool "tv_range_out", int "UV") {
c
rgb = IsRGB()
isy = isy()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
lut = bi == 32 || isRunTime(c,rgb) ? 0 : 1
gamma = Default(gamma, 1/0.45) # gamma
alpha = Default(alpha, 0.0 ) # extension in x coords of the linear part
tv_in = Default(tv_range_in, !fs)
tv_out = Default(tv_range_out, tv_in)
UV = Default(UV, rgb ? 3 : 1 ) # Chroma planes TV<->PC conversion or not
si = ex_UVf(rgb, bi)
rangePC = tv_in ? "ymin - ymax ymin - /" : bi==32 ? "" : "range_max /"
rangeTV = ex_dlut(tv_out ? "ymax ymin - * ymin +" : bi==32 ? "" : "range_max *", bi, !tv_out)
beta = pow( alpha * gamma / ( ( gamma - 1.0) * ( 1.0 + alpha)), gamma)
phi = pow( ( gamma - 1.0) / alpha, gamma - 1.0) * pow( ( 1.0 + alpha) / gamma, gamma)
igam = 1. / gamma
aplus = 1. + alpha
str = alpha > 0 ? Format("range_min x "+rangePC+" max A@ {beta} > {aplus} A {igam} ^ * {alpha} - A {phi} * ? "+rangeTV) : \
Format("range_min x "+rangePC+" max {igam} ^ "+rangeTV+"")
str = ex_dlut( str, bi, !tv_in)
cstr = rgb ? str : UVRange_construct(tv_in,tv_out,bi,UV)
gamma <= 1.0 ? tv_in!=tv_out ? SMPTE_legal() : last : \
isy ? Expr(str , lut=lut) : \
UV == 1 ? Expr(str, "" , lut=lut) : \
Expr(str, cstr, scale_inputs=si, lut=lut)
gamma > 1.0 ? tv_in!=tv_out? propSet("_ColorRange", tv_out?1:0) : last : last }
# ACEScct to Linear: https://github.com/ampas/aces-dev
function ACEScct_f (clip c, bool "tv_range_in", bool "tv_range_out", int "UV") {
c
rgb = IsRGB()
isy = isy()
bi = BitsPerComponent()
fs = propNumElements ("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
lut = bi == 32 || isRunTime(c,rgb) ? 0 : 1
tv_in = Default(tv_range_in, !fs)
tv_out = Default(tv_range_out, tv_in)
UV = Default(UV, rgb ? 3 : 1 )
si = ex_UVf(rgb, bi)
rangePC = tv_in ? "ymin - ymax ymin - /" : bi==32 ? "" : "range_max /"
rangeTV = ex_dlut(tv_out ? "ymax ymin - * ymin +" : bi==32 ? "" : "range_max *", bi, !tv_out)
Y_BRK = 0.155251141552511
coeffA = 1 / 10.5402377416545
coeffB = 0.0729055341958355
str = Format("x "+rangePC+" A@ {Y_BRK} > 2 A 17.52 * 9.72 - ^ A {coeffB} - {coeffA} * ? "+rangeTV)
str = ex_dlut( str, bi,!tv_in)
cstr = rgb ? str : UVRange_construct(tv_in,tv_out,bi,UV)
isy ? Expr(str , lut=lut) : \
UV == 1 ? Expr(str, "" , lut=lut) : \
Expr(str, cstr, scale_inputs=si, lut=lut)
propSet("_Transfer", 8 )
tv_in!=tv_out? propSet("_ColorRange", tv_out?1:0) : last }
# Linear to ACEScct: https://github.com/ampas/aces-dev
function ACEScct_r (clip c, bool "tv_range_in", bool "tv_range_out", int "UV") {
c
rgb = IsRGB()
isy = isy()
bi = BitsPerComponent()
fs = propNumElements ("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
lut = bi == 32 || isRunTime(c,rgb) ? 0 : 1
tv_in = Default(tv_range_in, !fs)
tv_out = Default(tv_range_out, tv_in)
UV = Default(UV, rgb ? 3 : 1 )
si = ex_UVf(rgb, bi)
rangePC = tv_in ? "ymin - ymax ymin - /" : bi==32 ? "" : "range_max /"
rangeTV = ex_dlut(tv_out ? "ymax ymin - * ymin +" : bi==32 ? "" : "range_max *", bi, !tv_out)
X_BRK = 0.0078125
coeffA = 10.5402377416545
coeffB = 0.0729055341958355
lb = 1. / log(2)
coeffC = 1. / 17.52
str = Format("x "+rangePC+" A@ {X_BRK} <= A {coeffA} * {coeffB} + A log {lb} * 9.72 + {coeffC} * ? "+rangeTV)
str = ex_dlut( str, bi, !tv_in)
cstr = rgb ? str : UVRange_construct(tv_in,tv_out,bi,UV)
isy ? Expr(str , lut=lut) : \
UV == 1 ? Expr(str, "" , lut=lut) : \
Expr(str, cstr, scale_inputs=si, lut=lut)
propSet("_Transfer", 21 )
tv_in!=tv_out? propSet("_ColorRange", tv_out?1:0) : last }
### 1886a (Alternative 1886). A better match for CRT TRF. Uses gamma 3.0 up to offset 0.35, then gamma 2.6.
### Best match with 2.6133333 power gamma (at BlackLevel=0). At default 0.1 practically matches 1886 (2.4 power gamma)
###
### /*The EOTF specified for 1886 is considered to be a satisfactory, but not exact, match to the
### characteristic of an actual CRT. When it is desired to match a CRT, the Lw and Lb parameters of the
### EOTF can be set to the corresponding values of the CRT that are being matched. For moderate
### black level settings, e.g. 0.1 cd/m² , setting the Lb of the EOTF to 0.1 will give a satisfactory match
### to the CRT. In the event the CRT is operated at a lower black level, e.g. 0.01 cd/m² , the EOTF will
### provide a better match with Lb set to a lower value such as 0.0 cd/m² . When it is necessary to more
### precisely match a flat panel display characteristic to a CRT, the alternative 1886a EOTF formulation
### may provide a solution. */
###
###
### Function Definition:
### (
### clip,
### float "BlackLevel"=0.10 (0.00 to 0.35),
### float "WhiteLevel"=100.0 (50.0 to 205.0),
### int "brightness"=50 (0 to 100),
### int "contrast"=50 (0 to 100)
### )
###
function EOTF_1886a (clip c, float "BlackLevel", float "WhiteLevel", int "brightness", int "contrast", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
bl = Default (BlackLevel, 0.1) # Black level in nits (cd/m²)
wl = Default (WhiteLevel, 100) # White level in nits (cd/m²)
l = Default (brightness, 50) # CRT's 'brightness' control (aka 'lift') -0 to 100-
g = Default (contrast, 50) # CRT's 'contrast' control (aka 'gain') -0 to 100-
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
b = pow(bl, 1/2.4)
a = pow(wl, 1/2.4)-b
b = (l-50)/250.+b/a # CRT's 'brightness' control -0.20 to +0.20
a = g!=50 ? pow(2,(g-50)/50.) : 1 # CRT's 'contrast' control 0.50 to +2.00
Vc = 0.35 # Offset
Lw = wl/100. * a # White level
Lb = min( b * a,Vc) # Black level
a1 = 2.6 # Shoulder gamma
a2 = 3.0 # Knee gamma
k = Lw /pow(1 + Lb, a1)
sl = k * pow(Vc + Lb, a1-a2) # Slope for knee gamma
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" 0 max dup {Vc} >= swap {Lb} + XP@ {a1} ^ {k} * XP {a2} ^ {sl} * ? "+rangeTV+""),cstr)
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
function EOTFi_1886a (clip c, float "BlackLevel", float "WhiteLevel", int "brightness", int "contrast", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
bl = Default (BlackLevel, 0.1) # Black level in nits (cd/m²)
wl = Default (WhiteLevel, 100) # White level in nits (cd/m²)
l = Default (brightness, 50) # CRT's 'brightness' control (aka 'lift') -0 to 100-
g = Default (contrast, 50) # CRT's 'contrast' control (aka 'gain') -0 to 100-
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
b = pow(bl, 1/2.4)
a = pow(wl, 1/2.4)-b
b = (l-50)/250.+b/a # CRT's 'brightness' control -0.20 to +0.20
a = g!=50 ? pow(2,(g-50)/50.) : 1 # CRT's 'contrast' control 0.50 to +2.00
Vc = 0.35 # Offset
Lw = wl/100. * a # White level
Lb = min( b * a,Vc) # Black level
a1 = 2.6 a1i = 1 / a1 # Shoulder gamma
a2 = 3.0 a2i = 1 / a2 # Knee gamma
k = 1 / (Lw /pow(1 + Lb, a1))
sl = k * pow(Vc - Lb, a2-a1)
beta = pow(Vc - Lb, a1)
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" 0 max X@ dup {beta} >= swap {k} * {a1i} ^ {Lb} - X {sl} * {a2i} ^ {Lb} - ? 0 max "+rangeTV+""),cstr)
propSet("_Transfer", 0)
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# Apple piecewise gamma used for AppleRGB, ProPhotoRGB or ColorMatchRGB.
# Mainly for 1.8 gamma (best match with 1.786666 power gamma)
function EOTF_Apple (clip c, float "gamma", float "BlackLevel", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
gm = Default (gamma, 461/256.) # Set to ~1.800781255, an hexadecimal rounded value of the ideal 1.8 power gamma
bl = Default (BlackLevel, 0.3473)/100. # Black level in nits (cd/m²)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" X@ 0.03125 < X 0.0622829 * X {gm} ^ 0.996527 * ? {bl} + "+rangeTV+""),cstr)
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
function EOTFi_Apple (clip c, float "gamma", float "BlackLevel", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
gm = 1./Default (gamma, 461/256.)
bl = Default (BlackLevel, 0.3473)/100. # Black level in nits (cd/m²)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" X@ 0.03125 < X {bl} - 0 max {gm} ^ X2@ X2 0.996527 * ? {bl} + "+rangeTV+""),cstr)
propSet("_Transfer", 22 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# TRC for ChromeSpace100 Color Space
function EOTF_Chrome (clip c, bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" X@ 0.08458 < 0 X 0.24126 < X 1.84 ^ 0.519421 * X 0.0652292 * -
X 3.18399 ^ 11482.5 * X 3.18408 ^ 11481.5 * - 0.00454195 - ? ? "+rangeTV+""),cstr)
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
function EOTFi_Chrome (clip c, bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" 0 max X@ 0.32413793 ^ 0.808642 * X 0.19582 * + 0.00349985 - "+rangeTV+""),cstr)
propSet("_Transfer", 24)
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
/*
// MIT LICENSE
//
// Copyright 2021 Matt DesLauriers
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
*/
# https://observablehq.com/@mattdesl/perceptually-smooth-multi-color-linear-gradients#XYBConvert
function EOTF_XYB (clip c, float "gamma", float "bias", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
gm = Default (gamma, 3.)
kB0 = Default (bias,0.96723368009523958)/-255. # Cone cell's opsin absorbance bias
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" 3 ^ {kB0} + "+rangeTV+""),cstr)
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
function EOTFi_XYB (clip c, float "gamma", float "bias", bool "tv_in", bool "tv_out") {
c
rgb = IsRGB()
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : rgb
gm = 1./Default (gamma, 3.)
kB0 = Default (bias,0.96723368009523958)/255. # Cone cell's opsin absorbance bias
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : "range_max *"
cstr = rgb ? Undefined() : UVRange_construct(tv_in,tv_out,bi,3)
ex_lut(Format(""+rangePC+" {kB0} + 0.333333333 ^ "+rangeTV+" "),cstr)
propSet("_Transfer", 25 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# ST.2084/BT.2100 (PQ to display-referred linear HDR)
# WIP SMPTE ST 2084
# PQ assumes a reference viewing condition of 5 cd/m²
# Requires planar RGB input (output is always 32-bit float)
#
# Typical MaxCLL:
# HDR PQ 400
# HDR PQ 600
# HDR PQ 1000
# HDR PQ 2000
# HDR PQ 4000
# HDR PQ 8000
#
# Example:
#
# 32-bit RGB
# EOTF_PQ(203.1521,10000) # Or 100 depending on standard
# TM_2446C("2020","709",k1=1,k3=0.52,EOTFi="1886",tv_in=false,tv_out=false) # Tonemapping
# or
# TM_DRT() # Tonemapping
#
function EOTF_PQ (clip c, float "RefWhite", int "MasterLevel", bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
RW = Default (RefWhite, 203.1521) # 100 for SMPTE ST 2084, 107 in original Dolby PQ docs, 203.1521 for ITU BT.2100/BT.2408-3 (HLG compliant)
PL = Default (MasterLevel, 10000) # MaxDLP (Max Display Mastering Luminance) or Peak/Mastering Display Luminance (1000 to 10000nits)
# This is different from MaxCLL (Maximum Content Light Level) which typically spans 1000-4000nits
# MaxCLL has a typical relationship with Reference White such that MaxCLL 1000 usually has a RefWhite of 203 and MaxCLL 4000 a RefWhite 581. A linear fit being (0.042*MaxCLL+161)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
PL = PL / float(RW) # (Mastering Level) / (Reference White) -> 10000 is imaginary Display assumed peak white (simulation of typical outdoors luminance)
Assert(isPlanarRGB(), "EOTF_PQ: Requires Planar RGB.")
N1 = (2610./4096) * 0.25
M1 = (2523./4096) * 128
C1 = (3424./4096) # or 1 + c3 - c2
C2 = (2413./4096) * 32
C3 = (2392./4096) * 32
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : ""
# From BT.2124-0 Annex 2 Conversion 3
str = Format(""+rangePC+" 1 {M1} / ^ A@ {C1} - 0 max {C2} {C3} A * - / 1 {N1} / ^ {PL} * "+rangeTV+"")
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y32" : "RGBPS")
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# PQ (BT.2100) transfer function (display-referred linear HDR to PQ)
# PQ is basically a curve-fit to the Barten model over HDR luminance...
# ...optimized for bit allocation (quantization) but not HVS (human visual system)
# PQ assumes a reference viewing condition where the screen surround is at 5 cd/m²
# WIP: SMPTE ST 2084
# Requires 32-bit float planar RGB input
function EOTFi_PQ (clip c, float "RefWhite", int "MasterLevel", bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
RW = Default (RefWhite, 203.1521) # 100 for SMPTE ST 2084, 107 in original Dolby PQ docs, 203.1521 for ITU BT.2100/BT.2408-3 (HLG compliant)
PL = Default (MasterLevel, 10000) # MaxDLP (Max Display Mastering Luminance) or Peak/Mastering Display Luminance (1000 to 10000nits)
# This is different from MaxCLL (Maximum Content Light Level) which typically spans 1000-4000nits
# MaxCLL has a typical relationship with Reference White such that MaxCLL 1000 usually has a RefWhite of 203 and MaxCLL 4000 a RefWhite 581. A linear fit being (0.042*MaxCLL+161)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
PL = float(RW) / PL # (Reference White) / (Mastering Level) -> 10000 is imaginary Display assumed peak white (simulation of typical outdoors luminance)
Assert(isPlanarRGB() && bi==32, "EOTFi_PQ: Requires 32-bit float Planar RGB.")
N1 = (2610./4096) * 0.25
M1 = (2523./4096) * 128
C1 = (3424./4096) # or 1 + c3 - c2
C2 = (2413./4096) * 32
C3 = (2392./4096) * 32
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x"
rangeTV = tv_out ? "ymax ymin - * ymin +" : ""
ex_lut(Format(""+rangePC+" {PL} * {N1} ^ X@ {C2} * {C1} + X {C3} * 1 + / {M1} ^ "+rangeTV+""))
propSet("_Transfer", 16)
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# WIP: HLG BT.2100 (Reference White at 0.75)
# HLG reference display Lw = 1000 nits
function EOTF_HLG (clip c, float "GrayLVL", bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
glvl = Default (GrayLVL, 0.17883277)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
Assert(isPlanarRGB(), "EOTF_HLG: Requires Planar RGB.")
PW = 1 / 12.
HLG_A = glvl
HLG_B = 1-4*HLG_A # 0.28466892
HLG_C = 0.5-HLG_A*log(4*HLG_A) # 0.55991073
HLG_A = 1. / HLG_A
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : bi==32 ? " " : " range_max *"
# From BT.2124-0 Annex 2 Conversion 4
str = Format(""+rangePC+" X@ 0.5 <= X 2 ^ 0.333333333 * X {HLG_C} - {HLG_A} * exp {HLG_B} + {PW} * ? "+rangeTV+"")
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi))
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# WIP: HLG BT.2100 (Reference White at 0.75)
function EOTFi_HLG (clip c, float "GrayLVL", bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
glvl = Default (GrayLVL, 0.17883277)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
Assert(isPlanarRGB(), "EOTF_HLG: Requires Planar RGB.")
PW = 1 / 12.
HLG_A = glvl
HLG_B = 1-4*HLG_A # 0.28466892
HLG_C = 0.5-HLG_A*log(4*HLG_A) # 0.55991073
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : bi==32 ? " " : " range_max *"
# From BT.2124-0 Annex 2 Conversion 4
str = Format(""+rangePC+" X@ {PW} <= X 3 * sqrt X 12 * {HLG_B} - log {HLG_A} * {HLG_C} + ? "+rangeTV+"")
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi))
propSet("_Transfer", 19 ) # This should be 18 as in the H.265 paper
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# S-Log2 to Linear (requires RGB input)
function EOTF_SLOG2 (clip c, bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
B = ex_bs(16, 8, bi, fulls=true, fulld=false, flt=true)
AB = ex_bs(22.5, 8, bi, fulls=true, fulld=false, flt=true)
W = ex_bs(235, 8, bi, fulls=true, fulld=false, flt=true)
WB = 1. / (W - B)
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : bi==32 ? " " : " range_max *"
str = Format(""+rangePC+" X@ dup {B} - {WB} * WB^ {AB} >= 10 WB 0.616596 0.03 - - 2.311075366 * ^ 0.037584 - 219 0.9 * 155 / *
WB 0.030001222851889303 - 0.254322581 * ? "+rangeTV+"")
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi))
propSet("_Transfer", 8 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
function EOTFi_SLOG2 (clip c, bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
B = ex_bs(16, 8, bi, fulls=true, fulld=false, flt=true)
AB = ex_bs(22.5, 8, bi, fulls=true, fulld=false, flt=true)
W = ex_bs(235, 8, bi, fulls=true, fulld=false, flt=true)
WB = 1. / (W - B)
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : bi==32 ? " " : " range_max *"
# str = Format(""+rangePC+" X@ dup {B} - {WB} * WB^ {AB} >= 10 WB 0.616596 0.03 - - 2.311075366 * ^ 0.037584 - 219 0.9 * 155 / *
# WB 0.030001222851889303 - 0.254322581 * ? "+rangeTV+"")
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi))
propSet("_Transfer", 30 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
# WIP: Apply as follows: EOTF_HLG().OOTF_HLG()
# Reference monitor for HLG is 300nits
function OOTF_HLG (clip c, float "Lb", float "Lw", int "surround", string "matrix") {
c
ID = color_propGet()
bi = ID[7]
mat = Default (matrix, ID[2])
Lb = Default (Lb, 0.0) # Display Black level in nits
Lw = Default (Lw, 1000.0) # Peak Display White in nits
sr = Default (surround, 5.0) # Surround luminance in nits
# In the future might want to adapt to illuminant for more flexibility
coef = RGB_to_XYZ(mat, ID[3], list=true, adaptXYZ=false)
Lb = Lb / 1000.
Lpw = Lw / 1000.
sr = max(0.0001,sr) # Eye dark limit is 0.000001 nits (best case scenario under scotopic vision)
y = 1.2*pow(1.111,log(Lpw)/log(2))*pow(0.98,log(sr/5.0)/log(2))
RGB = ExtractClip()
A = DotClipA(RGB, [coef[1],coef[4],coef[7]])
Expr(A,RGB[0],RGB[1],RGB[2],Format("x 2000 * {y} 1 - ^ {Lpw} * y * {Lb} +"),\
Format("x 2000 * {y} 1 - ^ {Lpw} * z * {Lb} +"),\
Format("x 2000 * {y} 1 - ^ {Lpw} * a * {Lb} +"), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi), optSingleMode=true)
}
# WIP: Apply as follows: OOTFi_HLG().EOTFi_HLG()
function OOTFi_HLG (clip c, float "Lb", float "Lw", int "surround", string "matrix") {
c
ID = color_propGet()
bi = ID[7]
mat = Default (matrix, ID[2])
Lb = Default (Lb, 0.0) # Display Black level in nits
Lw = Default (Lw, 1000.0) # Peak Display White in nits
sr = Default (surround, 5.0) # Surround luminance in nits
# In the future might want to adapt to illuminant for more flexibility
coef = RGB_to_XYZ(mat, ID[3], list=true, adaptXYZ=false)
Lb = Lb / 1000.
Lpw = Lw / 1000.
sr = max(0.0001,sr) # Eye dark limit is 0.000001 nits (best case scenario under scotopic vision)
y = 1.2*pow(1.111,log(Lpw)/log(2))*pow(0.98,log(sr/5.0)/log(2))
y = (1-y)/y
Lpw = 1 / Lpw
RGB = ExtractClip()
A = DotClipA(RGB, [coef[1],coef[4],coef[7]])
Expr(A,RGB[0],RGB[1],RGB[2],Format("x {Lb} - {Lb} max 2000 * {Lpw} * {y} ^ y {Lpw} * *"),\
Format("x {Lb} - {Lb} max 2000 * {Lpw} * {y} ^ z {Lpw} * *"),\
Format("x {Lb} - {Lb} max 2000 * {Lpw} * {y} ^ a {Lpw} * *"), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi), optSingleMode=true)
}
# WIP: EOTFi_PQtoHLG
#
# Benchmarks for 1080p:
# 100% 172fps P(4) fmtc_transfer(transs="PQ",transd="HLG",sceneref=false)
# 91% 156fps P(4) z_ConvertFormat(pixel_type="RGBP16",colorspace_op="rgb:st2084:2020:full=>rgb:std-b67:2020:full")
# 88% 151fps P(4) LinearTransformations("BT2100_PQ","BT2020_HLG")
# 74% 127fps P(4) DGCube("PQ_to_HLG.cube")
# 57% 98/93fps P(8) EOTFi_PQtoHLG() (16-bit/32-bit float) +16% compared to EOTF_PQ().EOTFi_HLG()
# 50% 85/79fps P(8) EOTF_PQ().EOTFi_HLG() (16-bit/32-bit float)
function EOTFi_PQtoHLG (clip c, int "RefWhite", int "MasterLevel", float "GrayLVL", float "Lb", float "Lw", int "surround", string "matrix", bool "tv_in", bool "tv_out") {
c
bi = BitsPerComponent()
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : true
RW = Default (RefWhite, 203) # 100 for SMPTE ST 2084, 203 for ITU BT.2100/BT.2408
PL = Default (MasterLevel, 10000) # Max Mastering Level in Nits -cd/m²- (1000 to 10000)
glvl = Default (GrayLVL, 0.17883277)
tv_in = Default (tv_in, !fs)
tv_out = Default (tv_out, tv_in)
PL = (PL * 3.) / RW
Assert(isPlanarRGB(), "EOTFi_PQtoHLG: Requires Planar RGB.")
N1 = (2610./4096) * 0.25
M1 = (2523./4096) * 128
C1 = (3424./4096) # or 1 + c3 - c2
C2 = (2413./4096) * 32
C3 = (2392./4096) * 32
HLG_A = glvl
HLG_B = 1-4*HLG_A # 0.28466892
HLG_C = 0.5-HLG_A*log(4*HLG_A) # 0.55991073
N1 = 1 / N1
M1 = 1 / M1
PW = 1 / 4.
rangePC = tv_in ? "x ymin - ymax ymin - /" : bi==32 ? "x" : "x range_max /"
rangeTV = tv_out ? "ymax ymin - * ymin +" : bi==32 ? " " : " range_max *"
str = Format(""+rangePC+" {M1} ^ dup {C1} - 0 max swap {C3} * {C2} swap - / {N1} ^ {PL} *
dup dup {PW} <= swap sqrt swap swap2 4 * {HLG_B} - log {HLG_A} * {HLG_C} + ? "+rangeTV+"")
# EOTF_PQ()
# OOTFi_HLG()
# EOTFi_HLG()
Expr(ex_dlut(str, bi, !tv_in), format=isy() ? "Y"+string(bi) : "RGBP"+string(bi==32?"S":bi))
propSet("_Transfer", 19 )
tv_in!=tv_out ? propSet("_ColorRange", tv_out?1:0) : last }
##########################################
### ##
### LOOK FUNCTIONS ##
### ##
##########################################
###
### LMT_DCP()
###
### DCP Tone Curve - Adobe Lightroom Camera Raw's default fallback film curve when none is embedded.
### Use over (Scene Referred) Linear space.
###
####################################
function LMT_DCP (clip c, bool "tv_range", int "UV", bool "show") {
ex_contrast(c, 0.786, pivot=83, tv_range=tv_range, UV=UV, show=show)
}
function LMTi_DCP (clip c, bool "tv_range", int "UV", bool "show") {
ex_contrast(c,-0.786, pivot=83, tv_range=tv_range, UV=UV, show=show)
}
###
###
### LMT_EMoR()
###
### Camera Response Function, modeled with monotonic EMoR (low-parameter empirical model of response)
### and fitted with polynomial regression. This is an OETF with camera look, therefore an OETF+OOTF combination.
### Encodes and decodes the typical camera response curve from an average of an assortment of consumer and professional devices
### and mediums like CCD or CMOS sensors, positive and negative films in color and black and white, etc, up until the mid 2000s.
###
###
### Abstract:
### "Many vision applications require precise measurement of scene radiance. The function relating scene radiance to image
### intensity of animaging system is called the camera response. We analyze the properties that all camera responses share.This allows us
### to find the constraints that any response function must satisfy. These constraints determine the theoretical space of all possible camera
### responses. We have collected a diverse database of 175 real-world camera response functions (DoRF). Using this database, we show that
### real-world responses occupy a small part of the theoretical space of all possible responses. We combine the constraints from our
### theoretical space with the data from DoRF to create a low-parameter empirical model of response (EMoR). This response model allows
### us to accurately interpolate the complete response function of a camera from a small number of measurements obtained using a
### standard chart. We also show that the model can be used to accuratelyestimate the camera response from images of an arbitrary scene
### taken using different exposures. The DoRF database and the EMoR model can be downloaded at http://www.cs.columbia.edu/CAVE."
###
### Ref:
### "Modeling the Space of Camera Response Functions,"
### M.D. Grossberg and S.K. Nayar,
### IEEE Transactions on Pattern Analysis and Machine Intelligence,
### Vol. 26, No. 10, pp. 1272-1282, Oct. 2004
###
####################################
function LMT_EMoR (clip c, bool "tv_range") {
c
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : isRGB()
tv_in = Default (tv_range, !fs)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_in ? "ymax ymin - * ymin +" : "range_max *"
ex_lut(""+rangePC+" 0 max X@ 4.09462 ^ 0.441167 * X 26.0736 ^ 0.112893 * + X 0.445936 * + "+rangeTV+"")
}
function LMTi_EMoR (clip c, bool "tv_range") {
c
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : isRGB()
tv_in = Default (tv_range, !fs)
rangePC = tv_in ? "x ymin - ymax ymin - /" : "x range_max /"
rangeTV = tv_in ? "ymax ymin - * ymin +" : "range_max *"
ex_lut(""+rangePC+" X@ 0.19 <= X 3.45456 ^ -8.02077 * X 1.00235 ^ 2.26165 * +
X 2.78529 ^ -0.129485 * X 0.1230425 ^ 13914.67 * - X 0.12307 ^ 13915.8 * + ? "+rangeTV+"")
}
# Display Simulation function in accordance to display white and black levels, reflectance, and view surround.
# Based on GOG: Gain-Gamma-Offset function by Rafal Mantiuk
# Examples (from Ubuntu's pfstmo docs):
# lcd_office (100, 0.8, 1, 400, "sRGB" )
# lcd set to "office" mode seen in bright environment
# lcd (200, 0.8, 1, 60, "sRGB" )
# typical lcd seen in dim environment (default)
# lcd_bright (500, 0.5, 1, 10, "DCIXYZ")
# newer LCD TV seen in dark environment
# crt (80, 1, 2, 60, "sRGB" )
# CRT monitor seen in dim environment
function Display_Sim(clip a, float "Lw", float "Lb", float "k", float "surround", string "transfer", string "EOTF") {
a
fs = propNumElements("_ColorRange") > 0 ? \
propGetInt ("_ColorRange") == 0 : isRGB()
Lw = Default(Lw, 100.0) # Display peak white given in nits, lux or cd/m² (they are all same)
Lb = Default(Lb, 0.3) # Display black level given in nits, lux or cd/m²
k = Default(k, 1) # Panel reflectivity given in %
s = Default(Surround, 50) # Surround viewing conditions given in nits, lux or cd/m² (50 for dim, 400 for bright office, 32000 sunny outdoors)
tr = Default(transfer, "sRGB") # Simulated EOTF
tro= Default(EOTF, "1886") # Viewing display EOTF
Lrfl = ((k*0.01)/pi)*s
CCTF( tr, true, !fs, false)
ex_lut(Format("{Lw} {Lb} - x * {Lb} {Lrfl} + + 0.01 *"))
CCTF( tro, false, false, !fs) } # Gamma encode back for display purposes
###
### OOTF (Opto-Optical Transfer Function)
###
### Changes the rendering intent for a non-linear output, for example, for a Surround adaptation or Display-to-Display transfer conversion.