/src/libwebp/sharpyuv/sharpyuv_gamma.c

Source
// Copyright 2022 Google Inc. All Rights Reserved.
//
// Use of this source code is governed by a BSD-style license
// that can be found in the COPYING file in the root of the source
// tree. An additional intellectual property rights grant can be found
// in the file PATENTS. All contributing project authors may
// be found in the AUTHORS file in the root of the source tree.
// -----------------------------------------------------------------------------
//
// Gamma correction utilities.

#include "./sharpyuv_gamma.h"

#include <assert.h>
#include <float.h>
#include <math.h>

#include "./sharpyuv.h"
#include "webp/types.h"

// Gamma correction compensates loss of resolution during chroma subsampling.
// Size of pre-computed table for converting from gamma to linear.
#define GAMMA_TO_LINEAR_TAB_BITS 10
#define GAMMA_TO_LINEAR_TAB_SIZE (1 << GAMMA_TO_LINEAR_TAB_BITS)
uint32_t kSharpYuvGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE + 2];
#define kGammaToLinearTabS kSharpYuvGammaToLinearTabS
#define LINEAR_TO_GAMMA_TAB_BITS 9
#define LINEAR_TO_GAMMA_TAB_SIZE (1 << LINEAR_TO_GAMMA_TAB_BITS)
uint32_t kSharpYuvLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE + 2];
#define kLinearToGammaTabS kSharpYuvLinearToGammaTabS

static const double kGammaF = 1. / 0.45;
#define GAMMA_TO_LINEAR_BITS 16

static volatile int kGammaTablesSOk = 0;
void SharpYuvInitGammaTables(void) {
  assert(GAMMA_TO_LINEAR_BITS <= 16);
  if (!kGammaTablesSOk) {
    int v;
    const double a = 0.09929682680944;
    const double thresh = 0.018053968510807;
    const double final_scale = 1 << GAMMA_TO_LINEAR_BITS;
    // Precompute gamma to linear table.
    {
      const double norm = 1. / GAMMA_TO_LINEAR_TAB_SIZE;
      const double a_rec = 1. / (1. + a);
      for (v = 0; v <= GAMMA_TO_LINEAR_TAB_SIZE; ++v) {
        const double g = norm * v;
        double value;
        if (g <= thresh * 4.5) {
          value = g / 4.5;
        } else {
          value = pow(a_rec * (g + a), kGammaF);
        }
        kGammaToLinearTabS[v] = (uint32_t)(value * final_scale + .5);
      }
      // to prevent small rounding errors to cause read-overflow:
      kGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE + 1] =
          kGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE];
    }
    // Precompute linear to gamma table.
    {
      const double scale = 1. / LINEAR_TO_GAMMA_TAB_SIZE;
      for (v = 0; v <= LINEAR_TO_GAMMA_TAB_SIZE; ++v) {
        const double g = scale * v;
        double value;
        if (g <= thresh) {
          value = 4.5 * g;
        } else {
          value = (1. + a) * pow(g, 1. / kGammaF) - a;
        }
        kLinearToGammaTabS[v] = (uint32_t)(final_scale * value + 0.5);
      }
      // to prevent small rounding errors to cause read-overflow:
      kLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE + 1] =
          kLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE];
    }
    kGammaTablesSOk = 1;
  }
}

static WEBP_INLINE int Shift(int v, int shift) {
  return (shift >= 0) ? (v << shift) : (v >> -shift);
}

static WEBP_INLINE uint32_t FixedPointInterpolation(int v, uint32_t* tab,
                                                    int tab_pos_shift_right,
                                                    int tab_value_shift) {
  const uint32_t tab_pos = Shift(v, -tab_pos_shift_right);
  // fractional part, in 'tab_pos_shift' fixed-point precision
  const uint32_t x = v - (tab_pos << tab_pos_shift_right);  // fractional part
  // v0 / v1 are in kGammaToLinearBits fixed-point precision (range [0..1])
  const uint32_t v0 = Shift(tab[tab_pos + 0], tab_value_shift);
  const uint32_t v1 = Shift(tab[tab_pos + 1], tab_value_shift);
  // Final interpolation.
  const uint32_t v2 = (v1 - v0) * x;  // note: v1 >= v0.
  const int half =
      (tab_pos_shift_right > 0) ? 1 << (tab_pos_shift_right - 1) : 0;
  const uint32_t result = v0 + ((v2 + half) >> tab_pos_shift_right);
  return result;
}

static uint32_t ToLinearSrgb(uint16_t v, int bit_depth) {
  const int shift = GAMMA_TO_LINEAR_TAB_BITS - bit_depth;
  assert(v <= ((1 << bit_depth) - 1));
  if (shift >= 0) {
    // shift == 0 is a direct lookup, no need for interpolation
    return kGammaToLinearTabS[v << shift];
  }
  return FixedPointInterpolation(v, kGammaToLinearTabS, -shift, 0);
}

static uint16_t FromLinearSrgb(uint32_t value, int bit_depth) {
  assert(value <= (1 << GAMMA_TO_LINEAR_BITS));
  return FixedPointInterpolation(
      value, kLinearToGammaTabS,
      (GAMMA_TO_LINEAR_BITS - LINEAR_TO_GAMMA_TAB_BITS),
      bit_depth - GAMMA_TO_LINEAR_BITS);
}

////////////////////////////////////////////////////////////////////////////////

#define CLAMP(x, low, high) \
  (((x) < (low)) ? (low) : (((high) < (x)) ? (high) : (x)))
#define MIN(a, b) (((a) < (b)) ? (a) : (b))
#define MAX(a, b) (((a) > (b)) ? (a) : (b))

static WEBP_INLINE float Roundf(float x) {
  if (x < 0) {
    return (float)ceil((double)(x - 0.5f));
  } else {
    return (float)floor((double)(x + 0.5f));
  }
}

static WEBP_INLINE float Powf(float base, float exp) {
  return (float)pow((double)base, (double)exp);
}

static WEBP_INLINE float Log10f(float x) { return (float)log10((double)x); }

static float ToLinear709(float gamma) {
  if (gamma < 0.f) {
    return 0.f;
  } else if (gamma < 4.5f * 0.018053968510807f) {
    return gamma / 4.5f;
  } else if (gamma < 1.f) {
    return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
  }
  return 1.f;
}

static float FromLinear709(float linear) {
  if (linear < 0.f) {
    return 0.f;
  } else if (linear < 0.018053968510807f) {
    return linear * 4.5f;
  } else if (linear < 1.f) {
    return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
  }
  return 1.f;
}

static float ToLinear470M(float gamma) {
  return Powf(CLAMP(gamma, 0.f, 1.f), 2.2f);
}

static float FromLinear470M(float linear) {
  return Powf(CLAMP(linear, 0.f, 1.f), 1.f / 2.2f);
}

static float ToLinear470Bg(float gamma) {
  return Powf(CLAMP(gamma, 0.f, 1.f), 2.8f);
}

static float FromLinear470Bg(float linear) {
  return Powf(CLAMP(linear, 0.f, 1.f), 1.f / 2.8f);
}

static float ToLinearSmpte240(float gamma) {
  if (gamma < 0.f) {
    return 0.f;
  } else if (gamma < 4.f * 0.022821585529445f) {
    return gamma / 4.f;
  } else if (gamma < 1.f) {
    return Powf((gamma + 0.111572195921731f) / 1.111572195921731f, 1.f / 0.45f);
  }
  return 1.f;
}

static float FromLinearSmpte240(float linear) {
  if (linear < 0.f) {
    return 0.f;
  } else if (linear < 0.022821585529445f) {
    return linear * 4.f;
  } else if (linear < 1.f) {
    return 1.111572195921731f * Powf(linear, 0.45f) - 0.111572195921731f;
  }
  return 1.f;
}

static float ToLinearLog100(float gamma) {
  // The function is non-bijective so choose the middle of [0, 0.01].
  const float mid_interval = 0.01f / 2.f;
  return (gamma <= 0.0f) ? mid_interval
                         : Powf(10.0f, 2.f * (MIN(gamma, 1.f) - 1.0f));
}

static float FromLinearLog100(float linear) {
  return (linear < 0.01f) ? 0.0f : 1.0f + Log10f(MIN(linear, 1.f)) / 2.0f;
}

static float ToLinearLog100Sqrt10(float gamma) {
  // The function is non-bijective so choose the middle of [0, 0.00316227766f[.
  const float mid_interval = 0.00316227766f / 2.f;
  return (gamma <= 0.0f) ? mid_interval
                         : Powf(10.0f, 2.5f * (MIN(gamma, 1.f) - 1.0f));
}

static float FromLinearLog100Sqrt10(float linear) {
  return (linear < 0.00316227766f) ? 0.0f
                                   : 1.0f + Log10f(MIN(linear, 1.f)) / 2.5f;
}

static float ToLinearIec61966(float gamma) {
  if (gamma <= -4.5f * 0.018053968510807f) {
    return Powf((-gamma + 0.09929682680944f) / -1.09929682680944f, 1.f / 0.45f);
  } else if (gamma < 4.5f * 0.018053968510807f) {
    return gamma / 4.5f;
  }
  return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
}

static float FromLinearIec61966(float linear) {
  if (linear <= -0.018053968510807f) {
    return -1.09929682680944f * Powf(-linear, 0.45f) + 0.09929682680944f;
  } else if (linear < 0.018053968510807f) {
    return linear * 4.5f;
  }
  return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
}

static float ToLinearBt1361(float gamma) {
  if (gamma < -0.25f) {
    return -0.25f;
  } else if (gamma < 0.f) {
    return Powf((gamma - 0.02482420670236f) / -0.27482420670236f, 1.f / 0.45f) /
           -4.f;
  } else if (gamma < 4.5f * 0.018053968510807f) {
    return gamma / 4.5f;
  } else if (gamma < 1.f) {
    return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
  }
  return 1.f;
}

static float FromLinearBt1361(float linear) {
  if (linear < -0.25f) {
    return -0.25f;
  } else if (linear < 0.f) {
    return -0.27482420670236f * Powf(-4.f * linear, 0.45f) + 0.02482420670236f;
  } else if (linear < 0.018053968510807f) {
    return linear * 4.5f;
  } else if (linear < 1.f) {
    return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
  }
  return 1.f;
}

static float ToLinearPq(float gamma) {
  if (gamma > 0.f) {
    const float pow_gamma = Powf(gamma, 32.f / 2523.f);
    const float num = MAX(pow_gamma - 107.f / 128.f, 0.0f);
    const float den = MAX(2413.f / 128.f - 2392.f / 128.f * pow_gamma, FLT_MIN);
    return Powf(num / den, 4096.f / 653.f);
  }
  return 0.f;
}

static float FromLinearPq(float linear) {
  if (linear > 0.f) {
    const float pow_linear = Powf(linear, 653.f / 4096.f);
    const float num = 107.f / 128.f + 2413.f / 128.f * pow_linear;
    const float den = 1.0f + 2392.f / 128.f * pow_linear;
    return Powf(num / den, 2523.f / 32.f);
  }
  return 0.f;
}

static float ToLinearSmpte428(float gamma) {
  return Powf(MAX(gamma, 0.f), 2.6f) / 0.91655527974030934f;
}

static float FromLinearSmpte428(float linear) {
  return Powf(0.91655527974030934f * MAX(linear, 0.f), 1.f / 2.6f);
}

// Conversion in BT.2100 requires RGB info. Simplify to gamma correction here.
static float ToLinearHlg(float gamma) {
  if (gamma < 0.f) {
    return 0.f;
  } else if (gamma <= 0.5f) {
    return Powf((gamma * gamma) * (1.f / 3.f), 1.2f);
  }
  return Powf((expf((gamma - 0.55991073f) / 0.17883277f) + 0.28466892f) / 12.0f,
              1.2f);
}

static float FromLinearHlg(float linear) {
  linear = Powf(linear, 1.f / 1.2f);
  if (linear < 0.f) {
    return 0.f;
  } else if (linear <= (1.f / 12.f)) {
    return sqrtf(3.f * linear);
  }
  return 0.17883277f * logf(12.f * linear - 0.28466892f) + 0.55991073f;
}

uint32_t SharpYuvGammaToLinear(uint16_t v, int bit_depth,
                               SharpYuvTransferFunctionType transfer_type) {
  float v_float, linear;
  if (transfer_type == kSharpYuvTransferFunctionSrgb) {
    return ToLinearSrgb(v, bit_depth);
  }
  v_float = (float)v / ((1 << bit_depth) - 1);
  switch (transfer_type) {
    case kSharpYuvTransferFunctionBt709:
    case kSharpYuvTransferFunctionBt601:
    case kSharpYuvTransferFunctionBt2020_10Bit:
    case kSharpYuvTransferFunctionBt2020_12Bit:
      linear = ToLinear709(v_float);
      break;
    case kSharpYuvTransferFunctionBt470M:
      linear = ToLinear470M(v_float);
      break;
    case kSharpYuvTransferFunctionBt470Bg:
      linear = ToLinear470Bg(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte240:
      linear = ToLinearSmpte240(v_float);
      break;
    case kSharpYuvTransferFunctionLinear:
      return v;
    case kSharpYuvTransferFunctionLog100:
      linear = ToLinearLog100(v_float);
      break;
    case kSharpYuvTransferFunctionLog100_Sqrt10:
      linear = ToLinearLog100Sqrt10(v_float);
      break;
    case kSharpYuvTransferFunctionIec61966:
      linear = ToLinearIec61966(v_float);
      break;
    case kSharpYuvTransferFunctionBt1361:
      linear = ToLinearBt1361(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte2084:
      linear = ToLinearPq(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte428:
      linear = ToLinearSmpte428(v_float);
      break;
    case kSharpYuvTransferFunctionHlg:
      linear = ToLinearHlg(v_float);
      break;
    default:
      assert(0);
      linear = 0;
      break;
  }
  return (uint32_t)Roundf(linear * ((1 << 16) - 1));
}

uint16_t SharpYuvLinearToGamma(uint32_t v, int bit_depth,
                               SharpYuvTransferFunctionType transfer_type) {
  float v_float, linear;
  if (transfer_type == kSharpYuvTransferFunctionSrgb) {
    return FromLinearSrgb(v, bit_depth);
  }
  v_float = (float)v / ((1 << 16) - 1);
  switch (transfer_type) {
    case kSharpYuvTransferFunctionBt709:
    case kSharpYuvTransferFunctionBt601:
    case kSharpYuvTransferFunctionBt2020_10Bit:
    case kSharpYuvTransferFunctionBt2020_12Bit:
      linear = FromLinear709(v_float);
      break;
    case kSharpYuvTransferFunctionBt470M:
      linear = FromLinear470M(v_float);
      break;
    case kSharpYuvTransferFunctionBt470Bg:
      linear = FromLinear470Bg(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte240:
      linear = FromLinearSmpte240(v_float);
      break;
    case kSharpYuvTransferFunctionLinear:
      return v;
    case kSharpYuvTransferFunctionLog100:
      linear = FromLinearLog100(v_float);
      break;
    case kSharpYuvTransferFunctionLog100_Sqrt10:
      linear = FromLinearLog100Sqrt10(v_float);
      break;
    case kSharpYuvTransferFunctionIec61966:
      linear = FromLinearIec61966(v_float);
      break;
    case kSharpYuvTransferFunctionBt1361:
      linear = FromLinearBt1361(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte2084:
      linear = FromLinearPq(v_float);
      break;
    case kSharpYuvTransferFunctionSmpte428:
      linear = FromLinearSmpte428(v_float);
      break;
    case kSharpYuvTransferFunctionHlg:
      linear = FromLinearHlg(v_float);
      break;
    default:
      assert(0);
      linear = 0;
      break;
  }
  return (uint16_t)Roundf(linear * ((1 << bit_depth) - 1));
}

Coverage Report

Created: 2026-09-28 07:02

Line	Count	Source
1		// Copyright 2022 Google Inc. All Rights Reserved.
2		//
3		// Use of this source code is governed by a BSD-style license
4		// that can be found in the COPYING file in the root of the source
5		// tree. An additional intellectual property rights grant can be found
6		// in the file PATENTS. All contributing project authors may
7		// be found in the AUTHORS file in the root of the source tree.
8		// -----------------------------------------------------------------------------
9		//
10		// Gamma correction utilities.
11
12		#include "./sharpyuv_gamma.h"
13
14		#include <assert.h>
15		#include <float.h>
16		#include <math.h>
17
18		#include "./sharpyuv.h"
19		#include "webp/types.h"
20
21		// Gamma correction compensates loss of resolution during chroma subsampling.
22		// Size of pre-computed table for converting from gamma to linear.
23	0	#define GAMMA_TO_LINEAR_TAB_BITS 10
24	0	#define GAMMA_TO_LINEAR_TAB_SIZE (1 << GAMMA_TO_LINEAR_TAB_BITS)
25		uint32_t kSharpYuvGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE + 2];
26	0	#define kGammaToLinearTabS kSharpYuvGammaToLinearTabS
27	0	#define LINEAR_TO_GAMMA_TAB_BITS 9
28	0	#define LINEAR_TO_GAMMA_TAB_SIZE (1 << LINEAR_TO_GAMMA_TAB_BITS)
29		uint32_t kSharpYuvLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE + 2];
30	0	#define kLinearToGammaTabS kSharpYuvLinearToGammaTabS
31
32		static const double kGammaF = 1. / 0.45;
33	0	#define GAMMA_TO_LINEAR_BITS 16
34
35		static volatile int kGammaTablesSOk = 0;
36	0	void SharpYuvInitGammaTables(void) {
37	0	assert(GAMMA_TO_LINEAR_BITS <= 16);
38	0	if (!kGammaTablesSOk) {
39	0	int v;
40	0	const double a = 0.09929682680944;
41	0	const double thresh = 0.018053968510807;
42	0	const double final_scale = 1 << GAMMA_TO_LINEAR_BITS;
43		// Precompute gamma to linear table.
44	0	{
45	0	const double norm = 1. / GAMMA_TO_LINEAR_TAB_SIZE;
46	0	const double a_rec = 1. / (1. + a);
47	0	for (v = 0; v <= GAMMA_TO_LINEAR_TAB_SIZE; ++v) {
48	0	const double g = norm * v;
49	0	double value;
50	0	if (g <= thresh * 4.5) {
51	0	value = g / 4.5;
52	0	} else {
53	0	value = pow(a_rec * (g + a), kGammaF);
54	0	}
55	0	kGammaToLinearTabS[v] = (uint32_t)(value * final_scale + .5);
56	0	}
57		// to prevent small rounding errors to cause read-overflow:
58	0	kGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE + 1] =
59	0	kGammaToLinearTabS[GAMMA_TO_LINEAR_TAB_SIZE];
60	0	}
61		// Precompute linear to gamma table.
62	0	{
63	0	const double scale = 1. / LINEAR_TO_GAMMA_TAB_SIZE;
64	0	for (v = 0; v <= LINEAR_TO_GAMMA_TAB_SIZE; ++v) {
65	0	const double g = scale * v;
66	0	double value;
67	0	if (g <= thresh) {
68	0	value = 4.5 * g;
69	0	} else {
70	0	value = (1. + a) * pow(g, 1. / kGammaF) - a;
71	0	}
72	0	kLinearToGammaTabS[v] = (uint32_t)(final_scale * value + 0.5);
73	0	}
74		// to prevent small rounding errors to cause read-overflow:
75	0	kLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE + 1] =
76	0	kLinearToGammaTabS[LINEAR_TO_GAMMA_TAB_SIZE];
77	0	}
78	0	kGammaTablesSOk = 1;
79	0	}
80	0	}
81
82	0	static WEBP_INLINE int Shift(int v, int shift) {
83	0	return (shift >= 0) ? (v << shift) : (v >> -shift);
84	0	}
85
86		static WEBP_INLINE uint32_t FixedPointInterpolation(int v, uint32_t* tab,
87		int tab_pos_shift_right,
88	0	int tab_value_shift) {
89	0	const uint32_t tab_pos = Shift(v, -tab_pos_shift_right);
90		// fractional part, in 'tab_pos_shift' fixed-point precision
91	0	const uint32_t x = v - (tab_pos << tab_pos_shift_right); // fractional part
92		// v0 / v1 are in kGammaToLinearBits fixed-point precision (range [0..1])
93	0	const uint32_t v0 = Shift(tab[tab_pos + 0], tab_value_shift);
94	0	const uint32_t v1 = Shift(tab[tab_pos + 1], tab_value_shift);
95		// Final interpolation.
96	0	const uint32_t v2 = (v1 - v0) * x; // note: v1 >= v0.
97	0	const int half =
98	0	(tab_pos_shift_right > 0) ? 1 << (tab_pos_shift_right - 1) : 0;
99	0	const uint32_t result = v0 + ((v2 + half) >> tab_pos_shift_right);
100	0	return result;
101	0	}
102
103	0	static uint32_t ToLinearSrgb(uint16_t v, int bit_depth) {
104	0	const int shift = GAMMA_TO_LINEAR_TAB_BITS - bit_depth;
105	0	assert(v <= ((1 << bit_depth) - 1));
106	0	if (shift >= 0) {
107		// shift == 0 is a direct lookup, no need for interpolation
108	0	return kGammaToLinearTabS[v << shift];
109	0	}
110	0	return FixedPointInterpolation(v, kGammaToLinearTabS, -shift, 0);
111	0	}
112
113	0	static uint16_t FromLinearSrgb(uint32_t value, int bit_depth) {
114	0	assert(value <= (1 << GAMMA_TO_LINEAR_BITS));
115	0	return FixedPointInterpolation(
116	0	value, kLinearToGammaTabS,
117	0	(GAMMA_TO_LINEAR_BITS - LINEAR_TO_GAMMA_TAB_BITS),
118	0	bit_depth - GAMMA_TO_LINEAR_BITS);
119	0	}
120
121		////////////////////////////////////////////////////////////////////////////////
122
123		#define CLAMP(x, low, high) \
124	0	(((x) < (low)) ? (low) : (((high) < (x)) ? (high) : (x)))
125	0	#define MIN(a, b) (((a) < (b)) ? (a) : (b))
126	0	#define MAX(a, b) (((a) > (b)) ? (a) : (b))
127
128	0	static WEBP_INLINE float Roundf(float x) {
129	0	if (x < 0) {
130	0	return (float)ceil((double)(x - 0.5f));
131	0	} else {
132	0	return (float)floor((double)(x + 0.5f));
133	0	}
134	0	}
135
136	0	static WEBP_INLINE float Powf(float base, float exp) {
137	0	return (float)pow((double)base, (double)exp);
138	0	}
139
140	0	static WEBP_INLINE float Log10f(float x) { return (float)log10((double)x); }
141
142	0	static float ToLinear709(float gamma) {
143	0	if (gamma < 0.f) {
144	0	return 0.f;
145	0	} else if (gamma < 4.5f * 0.018053968510807f) {
146	0	return gamma / 4.5f;
147	0	} else if (gamma < 1.f) {
148	0	return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
149	0	}
150	0	return 1.f;
151	0	}
152
153	0	static float FromLinear709(float linear) {
154	0	if (linear < 0.f) {
155	0	return 0.f;
156	0	} else if (linear < 0.018053968510807f) {
157	0	return linear * 4.5f;
158	0	} else if (linear < 1.f) {
159	0	return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
160	0	}
161	0	return 1.f;
162	0	}
163
164	0	static float ToLinear470M(float gamma) {
165	0	return Powf(CLAMP(gamma, 0.f, 1.f), 2.2f);
166	0	}
167
168	0	static float FromLinear470M(float linear) {
169	0	return Powf(CLAMP(linear, 0.f, 1.f), 1.f / 2.2f);
170	0	}
171
172	0	static float ToLinear470Bg(float gamma) {
173	0	return Powf(CLAMP(gamma, 0.f, 1.f), 2.8f);
174	0	}
175
176	0	static float FromLinear470Bg(float linear) {
177	0	return Powf(CLAMP(linear, 0.f, 1.f), 1.f / 2.8f);
178	0	}
179
180	0	static float ToLinearSmpte240(float gamma) {
181	0	if (gamma < 0.f) {
182	0	return 0.f;
183	0	} else if (gamma < 4.f * 0.022821585529445f) {
184	0	return gamma / 4.f;
185	0	} else if (gamma < 1.f) {
186	0	return Powf((gamma + 0.111572195921731f) / 1.111572195921731f, 1.f / 0.45f);
187	0	}
188	0	return 1.f;
189	0	}
190
191	0	static float FromLinearSmpte240(float linear) {
192	0	if (linear < 0.f) {
193	0	return 0.f;
194	0	} else if (linear < 0.022821585529445f) {
195	0	return linear * 4.f;
196	0	} else if (linear < 1.f) {
197	0	return 1.111572195921731f * Powf(linear, 0.45f) - 0.111572195921731f;
198	0	}
199	0	return 1.f;
200	0	}
201
202	0	static float ToLinearLog100(float gamma) {
203		// The function is non-bijective so choose the middle of [0, 0.01].
204	0	const float mid_interval = 0.01f / 2.f;
205	0	return (gamma <= 0.0f) ? mid_interval
206	0	: Powf(10.0f, 2.f * (MIN(gamma, 1.f) - 1.0f));
207	0	}
208
209	0	static float FromLinearLog100(float linear) {
210	0	return (linear < 0.01f) ? 0.0f : 1.0f + Log10f(MIN(linear, 1.f)) / 2.0f;
211	0	}
212
213	0	static float ToLinearLog100Sqrt10(float gamma) {
214		// The function is non-bijective so choose the middle of [0, 0.00316227766f[.
215	0	const float mid_interval = 0.00316227766f / 2.f;
216	0	return (gamma <= 0.0f) ? mid_interval
217	0	: Powf(10.0f, 2.5f * (MIN(gamma, 1.f) - 1.0f));
218	0	}
219
220	0	static float FromLinearLog100Sqrt10(float linear) {
221	0	return (linear < 0.00316227766f) ? 0.0f
222	0	: 1.0f + Log10f(MIN(linear, 1.f)) / 2.5f;
223	0	}
224
225	0	static float ToLinearIec61966(float gamma) {
226	0	if (gamma <= -4.5f * 0.018053968510807f) {
227	0	return Powf((-gamma + 0.09929682680944f) / -1.09929682680944f, 1.f / 0.45f);
228	0	} else if (gamma < 4.5f * 0.018053968510807f) {
229	0	return gamma / 4.5f;
230	0	}
231	0	return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
232	0	}
233
234	0	static float FromLinearIec61966(float linear) {
235	0	if (linear <= -0.018053968510807f) {
236	0	return -1.09929682680944f * Powf(-linear, 0.45f) + 0.09929682680944f;
237	0	} else if (linear < 0.018053968510807f) {
238	0	return linear * 4.5f;
239	0	}
240	0	return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
241	0	}
242
243	0	static float ToLinearBt1361(float gamma) {
244	0	if (gamma < -0.25f) {
245	0	return -0.25f;
246	0	} else if (gamma < 0.f) {
247	0	return Powf((gamma - 0.02482420670236f) / -0.27482420670236f, 1.f / 0.45f) /
248	0	-4.f;
249	0	} else if (gamma < 4.5f * 0.018053968510807f) {
250	0	return gamma / 4.5f;
251	0	} else if (gamma < 1.f) {
252	0	return Powf((gamma + 0.09929682680944f) / 1.09929682680944f, 1.f / 0.45f);
253	0	}
254	0	return 1.f;
255	0	}
256
257	0	static float FromLinearBt1361(float linear) {
258	0	if (linear < -0.25f) {
259	0	return -0.25f;
260	0	} else if (linear < 0.f) {
261	0	return -0.27482420670236f * Powf(-4.f * linear, 0.45f) + 0.02482420670236f;
262	0	} else if (linear < 0.018053968510807f) {
263	0	return linear * 4.5f;
264	0	} else if (linear < 1.f) {
265	0	return 1.09929682680944f * Powf(linear, 0.45f) - 0.09929682680944f;
266	0	}
267	0	return 1.f;
268	0	}
269
270	0	static float ToLinearPq(float gamma) {
271	0	if (gamma > 0.f) {
272	0	const float pow_gamma = Powf(gamma, 32.f / 2523.f);
273	0	const float num = MAX(pow_gamma - 107.f / 128.f, 0.0f);
274	0	const float den = MAX(2413.f / 128.f - 2392.f / 128.f * pow_gamma, FLT_MIN);
275	0	return Powf(num / den, 4096.f / 653.f);
276	0	}
277	0	return 0.f;
278	0	}
279
280	0	static float FromLinearPq(float linear) {
281	0	if (linear > 0.f) {
282	0	const float pow_linear = Powf(linear, 653.f / 4096.f);
283	0	const float num = 107.f / 128.f + 2413.f / 128.f * pow_linear;
284	0	const float den = 1.0f + 2392.f / 128.f * pow_linear;
285	0	return Powf(num / den, 2523.f / 32.f);
286	0	}
287	0	return 0.f;
288	0	}
289
290	0	static float ToLinearSmpte428(float gamma) {
291	0	return Powf(MAX(gamma, 0.f), 2.6f) / 0.91655527974030934f;
292	0	}
293
294	0	static float FromLinearSmpte428(float linear) {
295	0	return Powf(0.91655527974030934f * MAX(linear, 0.f), 1.f / 2.6f);
296	0	}
297
298		// Conversion in BT.2100 requires RGB info. Simplify to gamma correction here.
299	0	static float ToLinearHlg(float gamma) {
300	0	if (gamma < 0.f) {
301	0	return 0.f;
302	0	} else if (gamma <= 0.5f) {
303	0	return Powf((gamma * gamma) * (1.f / 3.f), 1.2f);
304	0	}
305	0	return Powf((expf((gamma - 0.55991073f) / 0.17883277f) + 0.28466892f) / 12.0f,
306	0	1.2f);
307	0	}
308
309	0	static float FromLinearHlg(float linear) {
310	0	linear = Powf(linear, 1.f / 1.2f);
311	0	if (linear < 0.f) {
312	0	return 0.f;
313	0	} else if (linear <= (1.f / 12.f)) {
314	0	return sqrtf(3.f * linear);
315	0	}
316	0	return 0.17883277f * logf(12.f * linear - 0.28466892f) + 0.55991073f;
317	0	}
318
319		uint32_t SharpYuvGammaToLinear(uint16_t v, int bit_depth,
320	0	SharpYuvTransferFunctionType transfer_type) {
321	0	float v_float, linear;
322	0	if (transfer_type == kSharpYuvTransferFunctionSrgb) {
323	0	return ToLinearSrgb(v, bit_depth);
324	0	}
325	0	v_float = (float)v / ((1 << bit_depth) - 1);
326	0	switch (transfer_type) {
327	0	case kSharpYuvTransferFunctionBt709:
328	0	case kSharpYuvTransferFunctionBt601:
329	0	case kSharpYuvTransferFunctionBt2020_10Bit:
330	0	case kSharpYuvTransferFunctionBt2020_12Bit:
331	0	linear = ToLinear709(v_float);
332	0	break;
333	0	case kSharpYuvTransferFunctionBt470M:
334	0	linear = ToLinear470M(v_float);
335	0	break;
336	0	case kSharpYuvTransferFunctionBt470Bg:
337	0	linear = ToLinear470Bg(v_float);
338	0	break;
339	0	case kSharpYuvTransferFunctionSmpte240:
340	0	linear = ToLinearSmpte240(v_float);
341	0	break;
342	0	case kSharpYuvTransferFunctionLinear:
343	0	return v;
344	0	case kSharpYuvTransferFunctionLog100:
345	0	linear = ToLinearLog100(v_float);
346	0	break;
347	0	case kSharpYuvTransferFunctionLog100_Sqrt10:
348	0	linear = ToLinearLog100Sqrt10(v_float);
349	0	break;
350	0	case kSharpYuvTransferFunctionIec61966:
351	0	linear = ToLinearIec61966(v_float);
352	0	break;
353	0	case kSharpYuvTransferFunctionBt1361:
354	0	linear = ToLinearBt1361(v_float);
355	0	break;
356	0	case kSharpYuvTransferFunctionSmpte2084:
357	0	linear = ToLinearPq(v_float);
358	0	break;
359	0	case kSharpYuvTransferFunctionSmpte428:
360	0	linear = ToLinearSmpte428(v_float);
361	0	break;
362	0	case kSharpYuvTransferFunctionHlg:
363	0	linear = ToLinearHlg(v_float);
364	0	break;
365	0	default:
366	0	assert(0);
367	0	linear = 0;
368	0	break;
369	0	}
370	0	return (uint32_t)Roundf(linear * ((1 << 16) - 1));
371	0	}
372
373		uint16_t SharpYuvLinearToGamma(uint32_t v, int bit_depth,
374	0	SharpYuvTransferFunctionType transfer_type) {
375	0	float v_float, linear;
376	0	if (transfer_type == kSharpYuvTransferFunctionSrgb) {
377	0	return FromLinearSrgb(v, bit_depth);
378	0	}
379	0	v_float = (float)v / ((1 << 16) - 1);
380	0	switch (transfer_type) {
381	0	case kSharpYuvTransferFunctionBt709:
382	0	case kSharpYuvTransferFunctionBt601:
383	0	case kSharpYuvTransferFunctionBt2020_10Bit:
384	0	case kSharpYuvTransferFunctionBt2020_12Bit:
385	0	linear = FromLinear709(v_float);
386	0	break;
387	0	case kSharpYuvTransferFunctionBt470M:
388	0	linear = FromLinear470M(v_float);
389	0	break;
390	0	case kSharpYuvTransferFunctionBt470Bg:
391	0	linear = FromLinear470Bg(v_float);
392	0	break;
393	0	case kSharpYuvTransferFunctionSmpte240:
394	0	linear = FromLinearSmpte240(v_float);
395	0	break;
396	0	case kSharpYuvTransferFunctionLinear:
397	0	return v;
398	0	case kSharpYuvTransferFunctionLog100:
399	0	linear = FromLinearLog100(v_float);
400	0	break;
401	0	case kSharpYuvTransferFunctionLog100_Sqrt10:
402	0	linear = FromLinearLog100Sqrt10(v_float);
403	0	break;
404	0	case kSharpYuvTransferFunctionIec61966:
405	0	linear = FromLinearIec61966(v_float);
406	0	break;
407	0	case kSharpYuvTransferFunctionBt1361:
408	0	linear = FromLinearBt1361(v_float);
409	0	break;
410	0	case kSharpYuvTransferFunctionSmpte2084:
411	0	linear = FromLinearPq(v_float);
412	0	break;
413	0	case kSharpYuvTransferFunctionSmpte428:
414	0	linear = FromLinearSmpte428(v_float);
415	0	break;
416	0	case kSharpYuvTransferFunctionHlg:
417	0	linear = FromLinearHlg(v_float);
418	0	break;
419	0	default:
420	0	assert(0);
421	0	linear = 0;
422	0	break;
423	0	}
424	0	return (uint16_t)Roundf(linear * ((1 << bit_depth) - 1));
425	0	}