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SubjectRe: [PATCH 1/5] backlight: pwm_bl: fix cie1913 comments and constant
On Thu, Sep 19, 2019 at 04:06:16PM +0200, Rasmus Villemoes wrote:
> The "break-even" point for the two formulas is L==8, which is also
> what the code actually implements. [Incidentally, at that point one
> has Y=0.008856, not 0.08856].
>
> Moreover, all the sources I can find say the linear factor is 903.3
> rather than 902.3, which makes sense since then the formulas agree at
> L==8, both yielding the 0.008856 figure to four significant digits.

Indeed. Interestingly the following doc (with a high search rank in
Google) has exactly this inconsistency and uses different values at
different times:
http://www.photonstophotos.net/GeneralTopics/Exposure/Psychometric_Lightness_and_Gamma.htm

>
> Signed-off-by: Rasmus Villemoes <linux@rasmusvillemoes.dk>

Reviewed-by: Daniel Thompson <daniel.thompson@linaro.org>

> ---
> drivers/video/backlight/pwm_bl.c | 12 +++++++++---
> 1 file changed, 9 insertions(+), 3 deletions(-)
>
> diff --git a/drivers/video/backlight/pwm_bl.c b/drivers/video/backlight/pwm_bl.c
> index 2201b8c78641..be36be1cacb7 100644
> --- a/drivers/video/backlight/pwm_bl.c
> +++ b/drivers/video/backlight/pwm_bl.c
> @@ -155,8 +155,8 @@ static const struct backlight_ops pwm_backlight_ops = {
> *
> * The CIE 1931 lightness formula is what actually describes how we perceive
> * light:
> - * Y = (L* / 902.3) if L* ≤ 0.08856
> - * Y = ((L* + 16) / 116)^3 if L* > 0.08856
> + * Y = (L* / 903.3) if L* ≤ 8
> + * Y = ((L* + 16) / 116)^3 if L* > 8
> *
> * Where Y is the luminance, the amount of light coming out of the screen, and
> * is a number between 0.0 and 1.0; and L* is the lightness, how bright a human
> @@ -169,9 +169,15 @@ static u64 cie1931(unsigned int lightness, unsigned int scale)
> {
> u64 retval;
>
> + /*
> + * @lightness is given as a number between 0 and 1, expressed
> + * as a fixed-point number in scale @scale. Convert to a
> + * percentage, still expressed as a fixed-point number, so the
> + * above formulas can be applied.
> + */
> lightness *= 100;
> if (lightness <= (8 * scale)) {
> - retval = DIV_ROUND_CLOSEST_ULL(lightness * 10, 9023);
> + retval = DIV_ROUND_CLOSEST_ULL(lightness * 10, 9033);
> } else {
> retval = int_pow((lightness + (16 * scale)) / 116, 3);
> retval = DIV_ROUND_CLOSEST_ULL(retval, (scale * scale));
> --
> 2.20.1

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