slang-shaders/hdr/shaders/include/gamma_correct.h

#include "hdr10.h"

// SDR Colour output spaces

const mat3 k709_to_XYZ = mat3(
   0.412391f, 0.357584f, 0.180481f,
   0.212639f, 0.715169f, 0.072192f,
   0.019331f, 0.119195f, 0.950532f);

const mat3 kXYZ_to_DCIP3 = mat3 (
    2.4934969119f, -0.9313836179f, -0.4027107845f,
   -0.8294889696f,  1.7626640603f,  0.0236246858f,
    0.0358458302f, -0.0761723893f,  0.9568845240f);

float LinearTosRGB_1(const float channel)
{
	return (channel > (HCRT_SRGB_GAMMA_CUTOFF * (1.0f / 1000.0f))) ? (1.055f * pow(channel, 1.0f / HCRT_SRGB_GAMMA_OUT)) - 0.055f : channel * 12.92f; 
}

vec3 LinearTosRGB(const vec3 colour)
{
	return vec3(LinearTosRGB_1(colour.r), LinearTosRGB_1(colour.g), LinearTosRGB_1(colour.b));
}

float LinearTo709_1(const float channel)
{
	return (channel >= (HCRT_R709_GAMMA_CUTOFF * (1.0f / 1000.0f))) ? pow(channel * 1.099f, 1.0f / HCRT_R709_GAMMA_OUT) - 0.099f : channel * 4.5f;
}

vec3 LinearTo709(const vec3 colour)
{
	return vec3(LinearTo709_1(colour.r), LinearTo709_1(colour.g), LinearTo709_1(colour.b));
}

float LinearToDCIP3_1(const float channel)
{
	return pow(channel, 1.0f / HCRT_P3_GAMMA_OUT);
}

vec3 LinearToDCIP3(const vec3 colour)
{
	return vec3(LinearToDCIP3_1(colour.r), LinearToDCIP3_1(colour.g), LinearToDCIP3_1(colour.b));
}

void GammaCorrect(const vec3 scanline_colour, inout vec3 gamma_corrected)
{
   if(HCRT_HDR < 1.0f)
   {
      if(HCRT_OUTPUT_COLOUR_SPACE == 0.0f)
      {
         gamma_corrected = LinearTo709(scanline_colour);
      }
      else if(HCRT_OUTPUT_COLOUR_SPACE == 1.0f)
      {
         gamma_corrected = LinearTosRGB(scanline_colour);
      }
      else
      {
         gamma_corrected = LinearToDCIP3(scanline_colour);
      }
   }
   else
   {
      gamma_corrected = LinearToST2084(scanline_colour);
   }
}