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High Bit Depth Gamma Correction Algorithm for APA102/Dotstar LEDs #1545

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zackees opened this issue Sep 28, 2023 · 3 comments
Closed

High Bit Depth Gamma Correction Algorithm for APA102/Dotstar LEDs #1545

zackees opened this issue Sep 28, 2023 · 3 comments

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@zackees
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zackees commented Sep 28, 2023 •
edited

High Bit Depth Gamma Correction Algorithm for APA102/Dotstar LEDs

This algorithm gamma corrects into 16 bit then bit shifts against the global brightness then converts back into 8,8,8,5 space.

This gives an additional 5 bits of precision at the low end.

IMG_1274_mute_small.mp4
@zackees zackees changed the title APA102 / Dotstar Gamma Bit shifting gamma correction formula High Bit Depth Algorithm for APA102/Dotstar LEDs Sep 28, 2023
@zackees
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zackees commented Sep 28, 2023 •
edited

Algorithm

void five_bit_hd_gamma_bitshift(
    uint8_t r8, uint8_t g8, uint8_t b8,
    uint8_t* out_r8,
    uint8_t* out_g8,
    uint8_t* out_b8,
    uint8_t* out_power_5bit) {

    // Step 1: Gamma Correction
    uint16_t r16, g16, b16;
    five_bit_hd_gamma_function(r8, g8, b8, &r16, &g16, &b16);

    // Step 2: Initialize 5-bit brightness.
    // Note: we only get 5 levels of brightness
    uint8_t v8 = 31;

    uint16_t numerator = 1;
    uint16_t denominator = 1;
    const uint32_t r16_const = r16;
    const uint32_t g16_const = g16;
    const uint32_t b16_const = b16;

    // Step 3: Bit Shifting Loop, can probably replaced with a
    // single pass bit-twiddling hack.
    do {
        // Note that to avoid slow divisions, we multiply the max_value
        // by the denominator.
        uint32_t max_value = 0xfffful * 15;
        if (r16_const * 31 > max_value) {
          break;
        }
        if (g16_const * 31 > max_value) {
          break;
        }
        if (b16_const * 31 > max_value) {
          break;
        }
        numerator = 31;
        denominator = 15;
        v8 = 15;

        max_value = 0xfffful * 15 * 7;
        if (r16_const * 31 * 15 > max_value) {
          break;
        }
        if (g16_const * 31 * 15 > max_value) {
          break;
        }
        if (b16_const * 31 * 15 > max_value) {
          break;
        }
        numerator = 31 * 15;
        denominator = 15 * 7;
        v8 = 7;

        max_value = 0xfffful * 15 * 7 * 3;
        if (r16_const * 31 * 15 * 7 > max_value) {
          break;
        }
        if (g16_const * 31 * 15 * 7 > max_value) {
          break;
        }
        if (b16_const * 31 * 15 * 7 > max_value) {
          break;
        }
        numerator = 31 * 15 * 7;
        denominator = 15 * 7 * 3;
        v8 = 3;

        max_value = 0xfffful * 15 * 7 * 3;
        if (r16_const * 31 * 15 * 7 * 3 > max_value) {
          break;
        }
        if (g16_const * 31 * 15 * 7 * 3 > max_value) {
          break;
        }
        if (b16_const * 31 * 15 * 7 * 3 > max_value) {
          break;
        }
        numerator = 31 * 15 * 7 * 3;
        v8 = 1;
    } while(false);

    r16 = uint16_t(r16_const * numerator / denominator);
    g16 = uint16_t(g16_const * numerator / denominator);
    b16 = uint16_t(b16_const * numerator / denominator);

    // Step 4: Conversion Back to 8-bit.
    uint8_t r8_final = (r8 == 255 && uint8_t(r16 >> 8) >= 254) ? 255 : uint8_t(r16 >> 8);
    uint8_t g8_final = (g8 == 255 && uint8_t(g16 >> 8) >= 254) ? 255 : uint8_t(g16 >> 8);
    uint8_t b8_final = (b8 == 255 && uint8_t(b16 >> 8) >= 254) ? 255 : uint8_t(b16 >> 8);

#if FASTLED_FIVE_BIT_HD_GAMMA_LOW_END_LINEAR_RAMP == 1
    if (v8 == 1) {
      // Linear tuning for the lowest possible brightness. x=y until
      // the intersection point at 9.
      if (r8 < 9 && r16 > 0) {
        r8_final = r8;
      }
      if (g8 < 9 && g16 > 0) {
        g8_final = g8;
      }
      if (b8 < 9 && b16 > 0) {
        b8_final = b8;
      }
    }
#endif

    // Step 5: Output
    *out_r8 = r8_final;
    *out_g8 = g8_final;
    *out_b8 = b8_final;
    *out_power_5bit = v8;
}

Output

Input RGB: (0, 0, 0)
Output RGBV (Gamma corrected): (0, 0, 0, v: 1)
max component power: 0
-----------------------------
Input RGB: (1, 0, 0)
Output RGBV (Gamma corrected): (1, 0, 0, v: 1)
max component power: 0.0322581
-----------------------------
Input RGB: (2, 0, 0)
Output RGBV (Gamma corrected): (2, 0, 0, v: 1)
max component power: 0.0645161
-----------------------------
Input RGB: (3, 0, 0)
Output RGBV (Gamma corrected): (3, 0, 0, v: 1)
max component power: 0.0967742
-----------------------------
Input RGB: (4, 0, 0)
Output RGBV (Gamma corrected): (4, 0, 0, v: 1)
max component power: 0.129032
-----------------------------
Input RGB: (5, 0, 0)
Output RGBV (Gamma corrected): (5, 0, 0, v: 1)
max component power: 0.16129
-----------------------------
Input RGB: (6, 0, 0)
Output RGBV (Gamma corrected): (6, 0, 0, v: 1)
max component power: 0.193548
-----------------------------
Input RGB: (7, 0, 0)
Output RGBV (Gamma corrected): (7, 0, 0, v: 1)
max component power: 0.225806
-----------------------------
Input RGB: (8, 0, 0)
Output RGBV (Gamma corrected): (8, 0, 0, v: 1)
max component power: 0.258065
-----------------------------
Input RGB: (9, 0, 0)
Output RGBV (Gamma corrected): (9, 0, 0, v: 1)
max component power: 0.290323
-----------------------------
Input RGB: (10, 0, 0)
Output RGBV (Gamma corrected): (12, 0, 0, v: 1)
max component power: 0.387097
-----------------------------
Input RGB: (11, 0, 0)
Output RGBV (Gamma corrected): (14, 0, 0, v: 1)
max component power: 0.451613
-----------------------------
Input RGB: (12, 0, 0)
Output RGBV (Gamma corrected): (17, 0, 0, v: 1)
max component power: 0.548387
-----------------------------
Input RGB: (13, 0, 0)
Output RGBV (Gamma corrected): (20, 0, 0, v: 1)
max component power: 0.645161
-----------------------------
Input RGB: (14, 0, 0)
Output RGBV (Gamma corrected): (23, 0, 0, v: 1)
max component power: 0.741935
-----------------------------
Input RGB: (15, 0, 0)
Output RGBV (Gamma corrected): (27, 0, 0, v: 1)
max component power: 0.870968
-----------------------------
Input RGB: (16, 0, 0)
Output RGBV (Gamma corrected): (31, 0, 0, v: 1)
max component power: 1
-----------------------------
Input RGB: (17, 0, 0)
Output RGBV (Gamma corrected): (34, 0, 0, v: 1)
max component power: 1.09677
-----------------------------
Input RGB: (18, 0, 0)
Output RGBV (Gamma corrected): (39, 0, 0, v: 1)
max component power: 1.25806
-----------------------------
Input RGB: (19, 0, 0)
Output RGBV (Gamma corrected): (43, 0, 0, v: 1)
max component power: 1.3871
-----------------------------
Input RGB: (20, 0, 0)
Output RGBV (Gamma corrected): (48, 0, 0, v: 1)
max component power: 1.54839
-----------------------------
Input RGB: (21, 0, 0)
Output RGBV (Gamma corrected): (53, 0, 0, v: 1)
max component power: 1.70968
-----------------------------
Input RGB: (22, 0, 0)
Output RGBV (Gamma corrected): (58, 0, 0, v: 1)
max component power: 1.87097
-----------------------------
Input RGB: (23, 0, 0)
Output RGBV (Gamma corrected): (64, 0, 0, v: 1)
max component power: 2.06452
-----------------------------
Input RGB: (24, 0, 0)
Output RGBV (Gamma corrected): (69, 0, 0, v: 1)
max component power: 2.22581
-----------------------------
Input RGB: (25, 0, 0)
Output RGBV (Gamma corrected): (75, 0, 0, v: 1)
max component power: 2.41935
-----------------------------
Input RGB: (26, 0, 0)
Output RGBV (Gamma corrected): (81, 0, 0, v: 1)
max component power: 2.6129
-----------------------------
Input RGB: (27, 0, 0)
Output RGBV (Gamma corrected): (88, 0, 0, v: 1)
max component power: 2.83871
-----------------------------
Input RGB: (28, 0, 0)
Output RGBV (Gamma corrected): (94, 0, 0, v: 1)
max component power: 3.03226
-----------------------------
Input RGB: (29, 0, 0)
Output RGBV (Gamma corrected): (101, 0, 0, v: 1)
max component power: 3.25806
-----------------------------
Input RGB: (30, 0, 0)
Output RGBV (Gamma corrected): (108, 0, 0, v: 1)
max component power: 3.48387
-----------------------------
Input RGB: (31, 0, 0)
Output RGBV (Gamma corrected): (116, 0, 0, v: 1)
max component power: 3.74194
-----------------------------
Input RGB: (32, 0, 0)
Output RGBV (Gamma corrected): (124, 0, 0, v: 1)
max component power: 4
-----------------------------
Input RGB: (33, 0, 0)
Output RGBV (Gamma corrected): (131, 0, 0, v: 1)
max component power: 4.22581
-----------------------------
Input RGB: (34, 0, 0)
Output RGBV (Gamma corrected): (139, 0, 0, v: 1)
max component power: 4.48387
-----------------------------
Input RGB: (35, 0, 0)
Output RGBV (Gamma corrected): (148, 0, 0, v: 1)
max component power: 4.77419
-----------------------------
Input RGB: (36, 0, 0)
Output RGBV (Gamma corrected): (156, 0, 0, v: 1)
max component power: 5.03226
-----------------------------
Input RGB: (37, 0, 0)
Output RGBV (Gamma corrected): (165, 0, 0, v: 1)
max component power: 5.32258
-----------------------------
Input RGB: (38, 0, 0)
Output RGBV (Gamma corrected): (174, 0, 0, v: 1)
max component power: 5.6129
-----------------------------
Input RGB: (39, 0, 0)
Output RGBV (Gamma corrected): (184, 0, 0, v: 1)
max component power: 5.93548
-----------------------------
Input RGB: (40, 0, 0)
Output RGBV (Gamma corrected): (193, 0, 0, v: 1)
max component power: 6.22581
-----------------------------
Input RGB: (41, 0, 0)
Output RGBV (Gamma corrected): (203, 0, 0, v: 1)
max component power: 6.54839
-----------------------------
Input RGB: (42, 0, 0)
Output RGBV (Gamma corrected): (213, 0, 0, v: 1)
max component power: 6.87097
-----------------------------
Input RGB: (43, 0, 0)
Output RGBV (Gamma corrected): (223, 0, 0, v: 1)
max component power: 7.19355
-----------------------------
Input RGB: (44, 0, 0)
Output RGBV (Gamma corrected): (234, 0, 0, v: 1)
max component power: 7.54839
-----------------------------
Input RGB: (45, 0, 0)
Output RGBV (Gamma corrected): (245, 0, 0, v: 1)
max component power: 7.90323
-----------------------------
Input RGB: (46, 0, 0)
Output RGBV (Gamma corrected): (85, 0, 0, v: 3)
max component power: 8.22581
-----------------------------
Input RGB: (47, 0, 0)
Output RGBV (Gamma corrected): (89, 0, 0, v: 3)
max component power: 8.6129
-----------------------------
Input RGB: (48, 0, 0)
Output RGBV (Gamma corrected): (93, 0, 0, v: 3)
max component power: 9
-----------------------------
Input RGB: (49, 0, 0)
Output RGBV (Gamma corrected): (96, 0, 0, v: 3)
max component power: 9.29032
-----------------------------
Input RGB: (50, 0, 0)
Output RGBV (Gamma corrected): (100, 0, 0, v: 3)
max component power: 9.67742
-----------------------------
Input RGB: (51, 0, 0)
Output RGBV (Gamma corrected): (104, 0, 0, v: 3)
max component power: 10.0645
-----------------------------
Input RGB: (52, 0, 0)
Output RGBV (Gamma corrected): (109, 0, 0, v: 3)
max component power: 10.5484
-----------------------------
Input RGB: (53, 0, 0)
Output RGBV (Gamma corrected): (113, 0, 0, v: 3)
max component power: 10.9355
-----------------------------
Input RGB: (54, 0, 0)
Output RGBV (Gamma corrected): (117, 0, 0, v: 3)
max component power: 11.3226
-----------------------------
Input RGB: (55, 0, 0)
Output RGBV (Gamma corrected): (122, 0, 0, v: 3)
max component power: 11.8065
-----------------------------
Input RGB: (56, 0, 0)
Output RGBV (Gamma corrected): (126, 0, 0, v: 3)
max component power: 12.1935
-----------------------------
Input RGB: (57, 0, 0)
Output RGBV (Gamma corrected): (131, 0, 0, v: 3)
max component power: 12.6774
-----------------------------
Input RGB: (58, 0, 0)
Output RGBV (Gamma corrected): (135, 0, 0, v: 3)
max component power: 13.0645
-----------------------------
Input RGB: (59, 0, 0)
Output RGBV (Gamma corrected): (140, 0, 0, v: 3)
max component power: 13.5484
-----------------------------
Input RGB: (60, 0, 0)
Output RGBV (Gamma corrected): (145, 0, 0, v: 3)
max component power: 14.0323
-----------------------------
Input RGB: (61, 0, 0)
Output RGBV (Gamma corrected): (150, 0, 0, v: 3)
max component power: 14.5161
-----------------------------
Input RGB: (62, 0, 0)
Output RGBV (Gamma corrected): (155, 0, 0, v: 3)
max component power: 15
-----------------------------
Input RGB: (63, 0, 0)
Output RGBV (Gamma corrected): (160, 0, 0, v: 3)
max component power: 15.4839
-----------------------------
Input RGB: (64, 0, 0)
Output RGBV (Gamma corrected): (165, 0, 0, v: 3)
max component power: 15.9677
-----------------------------
Input RGB: (65, 0, 0)
Output RGBV (Gamma corrected): (170, 0, 0, v: 3)
max component power: 16.4516
-----------------------------
Input RGB: (66, 0, 0)
Output RGBV (Gamma corrected): (175, 0, 0, v: 3)
max component power: 16.9355
-----------------------------
Input RGB: (67, 0, 0)
Output RGBV (Gamma corrected): (181, 0, 0, v: 3)
max component power: 17.5161
-----------------------------
Input RGB: (68, 0, 0)
Output RGBV (Gamma corrected): (186, 0, 0, v: 3)
max component power: 18
-----------------------------
Input RGB: (69, 0, 0)
Output RGBV (Gamma corrected): (192, 0, 0, v: 3)
max component power: 18.5806
-----------------------------
Input RGB: (70, 0, 0)
Output RGBV (Gamma corrected): (197, 0, 0, v: 3)
max component power: 19.0645
-----------------------------
Input RGB: (71, 0, 0)
Output RGBV (Gamma corrected): (203, 0, 0, v: 3)
max component power: 19.6452
-----------------------------
Input RGB: (72, 0, 0)
Output RGBV (Gamma corrected): (209, 0, 0, v: 3)
max component power: 20.2258
-----------------------------
Input RGB: (73, 0, 0)
Output RGBV (Gamma corrected): (215, 0, 0, v: 3)
max component power: 20.8065
-----------------------------Input RGB: (74, 0, 0)
Output RGBV (Gamma corrected): (221, 0, 0, v: 3)
max component power: 21.3871
-----------------------------
Input RGB: (75, 0, 0)
Output RGBV (Gamma corrected): (227, 0, 0, v: 3)
max component power: 21.9677
-----------------------------
Input RGB: (76, 0, 0)
Output RGBV (Gamma corrected): (233, 0, 0, v: 3)
max component power: 22.5484
-----------------------------
Input RGB: (77, 0, 0)
Output RGBV (Gamma corrected): (239, 0, 0, v: 3)
max component power: 23.129
-----------------------------
Input RGB: (78, 0, 0)
Output RGBV (Gamma corrected): (245, 0, 0, v: 3)
max component power: 23.7097
-----------------------------
Input RGB: (79, 0, 0)
Output RGBV (Gamma corrected): (251, 0, 0, v: 3)
max component power: 24.2903
-----------------------------
Input RGB: (80, 0, 0)
Output RGBV (Gamma corrected): (110, 0, 0, v: 7)
max component power: 24.8387
-----------------------------
Input RGB: (81, 0, 0)
Output RGBV (Gamma corrected): (113, 0, 0, v: 7)
max component power: 25.5161
-----------------------------
Input RGB: (82, 0, 0)
Output RGBV (Gamma corrected): (116, 0, 0, v: 7)
max component power: 26.1935
-----------------------------
Input RGB: (83, 0, 0)
Output RGBV (Gamma corrected): (119, 0, 0, v: 7)
max component power: 26.871
-----------------------------
Input RGB: (84, 0, 0)
Output RGBV (Gamma corrected): (122, 0, 0, v: 7)
max component power: 27.5484
-----------------------------
Input RGB: (85, 0, 0)
Output RGBV (Gamma corrected): (124, 0, 0, v: 7)
max component power: 28
-----------------------------
Input RGB: (86, 0, 0)
Output RGBV (Gamma corrected): (127, 0, 0, v: 7)
max component power: 28.6774
-----------------------------
Input RGB: (87, 0, 0)
Output RGBV (Gamma corrected): (130, 0, 0, v: 7)
max component power: 29.3548
-----------------------------
Input RGB: (88, 0, 0)
Output RGBV (Gamma corrected): (133, 0, 0, v: 7)
max component power: 30.0323
-----------------------------
Input RGB: (89, 0, 0)
Output RGBV (Gamma corrected): (137, 0, 0, v: 7)
max component power: 30.9355
-----------------------------
Input RGB: (90, 0, 0)
Output RGBV (Gamma corrected): (140, 0, 0, v: 7)
max component power: 31.6129
-----------------------------
Input RGB: (91, 0, 0)
Output RGBV (Gamma corrected): (143, 0, 0, v: 7)
max component power: 32.2903
-----------------------------
Input RGB: (92, 0, 0)
Output RGBV (Gamma corrected): (146, 0, 0, v: 7)
max component power: 32.9677
-----------------------------
Input RGB: (93, 0, 0)
Output RGBV (Gamma corrected): (149, 0, 0, v: 7)
max component power: 33.6452
-----------------------------
Input RGB: (94, 0, 0)
Output RGBV (Gamma corrected): (152, 0, 0, v: 7)
max component power: 34.3226
-----------------------------
Input RGB: (95, 0, 0)
Output RGBV (Gamma corrected): (156, 0, 0, v: 7)
max component power: 35.2258
-----------------------------
Input RGB: (96, 0, 0)
Output RGBV (Gamma corrected): (159, 0, 0, v: 7)
max component power: 35.9032
-----------------------------
Input RGB: (97, 0, 0)
Output RGBV (Gamma corrected): (162, 0, 0, v: 7)
max component power: 36.5806
-----------------------------
Input RGB: (98, 0, 0)
Output RGBV (Gamma corrected): (166, 0, 0, v: 7)
max component power: 37.4839
-----------------------------
Input RGB: (99, 0, 0)
Output RGBV (Gamma corrected): (169, 0, 0, v: 7)
max component power: 38.1613
-----------------------------
Input RGB: (100, 0, 0)
Output RGBV (Gamma corrected): (172, 0, 0, v: 7)
max component power: 38.8387
-----------------------------
Input RGB: (101, 0, 0)
Output RGBV (Gamma corrected): (176, 0, 0, v: 7)
max component power: 39.7419
-----------------------------
Input RGB: (102, 0, 0)
Output RGBV (Gamma corrected): (179, 0, 0, v: 7)
max component power: 40.4194
-----------------------------
Input RGB: (103, 0, 0)
Output RGBV (Gamma corrected): (183, 0, 0, v: 7)
max component power: 41.3226
-----------------------------
Input RGB: (104, 0, 0)
Output RGBV (Gamma corrected): (187, 0, 0, v: 7)
max component power: 42.2258
-----------------------------
Input RGB: (105, 0, 0)
Output RGBV (Gamma corrected): (190, 0, 0, v: 7)
max component power: 42.9032
-----------------------------
Input RGB: (106, 0, 0)
Output RGBV (Gamma corrected): (194, 0, 0, v: 7)
max component power: 43.8064
-----------------------------
Input RGB: (107, 0, 0)
Output RGBV (Gamma corrected): (198, 0, 0, v: 7)
max component power: 44.7097
-----------------------------
Input RGB: (108, 0, 0)
Output RGBV (Gamma corrected): (201, 0, 0, v: 7)
max component power: 45.3871
-----------------------------
Input RGB: (109, 0, 0)
Output RGBV (Gamma corrected): (205, 0, 0, v: 7)
max component power: 46.2903
-----------------------------
Input RGB: (110, 0, 0)
Output RGBV (Gamma corrected): (209, 0, 0, v: 7)
max component power: 47.1936
-----------------------------
Input RGB: (111, 0, 0)
Output RGBV (Gamma corrected): (213, 0, 0, v: 7)
max component power: 48.0968
-----------------------------
Input RGB: (112, 0, 0)
Output RGBV (Gamma corrected): (217, 0, 0, v: 7)
max component power: 49
-----------------------------
Input RGB: (113, 0, 0)
Output RGBV (Gamma corrected): (220, 0, 0, v: 7)
max component power: 49.6774
-----------------------------
Input RGB: (114, 0, 0)
Output RGBV (Gamma corrected): (224, 0, 0, v: 7)
max component power: 50.5806
-----------------------------
Input RGB: (115, 0, 0)
Output RGBV (Gamma corrected): (228, 0, 0, v: 7)
max component power: 51.4839
-----------------------------
Input RGB: (116, 0, 0)
Output RGBV (Gamma corrected): (232, 0, 0, v: 7)
max component power: 52.3871
-----------------------------
Input RGB: (117, 0, 0)
Output RGBV (Gamma corrected): (236, 0, 0, v: 7)
max component power: 53.2903
-----------------------------
Input RGB: (118, 0, 0)
Output RGBV (Gamma corrected): (240, 0, 0, v: 7)
max component power: 54.1936
-----------------------------
Input RGB: (119, 0, 0)
Output RGBV (Gamma corrected): (244, 0, 0, v: 7)
max component power: 55.0968
-----------------------------
Input RGB: (120, 0, 0)
Output RGBV (Gamma corrected): (249, 0, 0, v: 7)
max component power: 56.2258
-----------------------------
Input RGB: (121, 0, 0)
Output RGBV (Gamma corrected): (253, 0, 0, v: 7)
max component power: 57.129
-----------------------------
Input RGB: (122, 0, 0)
Output RGBV (Gamma corrected): (120, 0, 0, v: 15)
max component power: 58.0645
-----------------------------
Input RGB: (123, 0, 0)
Output RGBV (Gamma corrected): (122, 0, 0, v: 15)
max component power: 59.0323
-----------------------------
Input RGB: (124, 0, 0)
Output RGBV (Gamma corrected): (124, 0, 0, v: 15)
max component power: 60
-----------------------------
Input RGB: (125, 0, 0)
Output RGBV (Gamma corrected): (126, 0, 0, v: 15)
max component power: 60.9677
-----------------------------
Input RGB: (126, 0, 0)
Output RGBV (Gamma corrected): (128, 0, 0, v: 15)
max component power: 61.9355
-----------------------------
Input RGB: (127, 0, 0)
Output RGBV (Gamma corrected): (130, 0, 0, v: 15)
max component power: 62.9032
-----------------------------
Input RGB: (128, 0, 0)
Output RGBV (Gamma corrected): (132, 0, 0, v: 15)
max component power: 63.871
-----------------------------
Input RGB: (129, 0, 0)
Output RGBV (Gamma corrected): (134, 0, 0, v: 15)
max component power: 64.8387
-----------------------------
Input RGB: (130, 0, 0)
Output RGBV (Gamma corrected): (136, 0, 0, v: 15)
max component power: 65.8064
-----------------------------
Input RGB: (131, 0, 0)
Output RGBV (Gamma corrected): (138, 0, 0, v: 15)
max component power: 66.7742
-----------------------------
Input RGB: (132, 0, 0)
Output RGBV (Gamma corrected): (140, 0, 0, v: 15)
max component power: 67.7419
-----------------------------
Input RGB: (133, 0, 0)
Output RGBV (Gamma corrected): (142, 0, 0, v: 15)
max component power: 68.7097
-----------------------------
Input RGB: (134, 0, 0)
Output RGBV (Gamma corrected): (144, 0, 0, v: 15)
max component power: 69.6774
-----------------------------
Input RGB: (135, 0, 0)
Output RGBV (Gamma corrected): (147, 0, 0, v: 15)
max component power: 71.129
-----------------------------
Input RGB: (136, 0, 0)
Output RGBV (Gamma corrected): (149, 0, 0, v: 15)
max component power: 72.0968
-----------------------------
Input RGB: (137, 0, 0)
Output RGBV (Gamma corrected): (151, 0, 0, v: 15)
max component power: 73.0645
-----------------------------
Input RGB: (138, 0, 0)
Output RGBV (Gamma corrected): (153, 0, 0, v: 15)
max component power: 74.0323
-----------------------------
Input RGB: (139, 0, 0)
Output RGBV (Gamma corrected): (155, 0, 0, v: 15)
max component power: 75
-----------------------------
Input RGB: (140, 0, 0)
Output RGBV (Gamma corrected): (158, 0, 0, v: 15)
max component power: 76.4516
-----------------------------
Input RGB: (141, 0, 0)
Output RGBV (Gamma corrected): (160, 0, 0, v: 15)
max component power: 77.4194
-----------------------------
Input RGB: (142, 0, 0)
Output RGBV (Gamma corrected): (162, 0, 0, v: 15)
max component power: 78.3871
-----------------------------
Input RGB: (143, 0, 0)
Output RGBV (Gamma corrected): (165, 0, 0, v: 15)
max component power: 79.8387
-----------------------------
Input RGB: (144, 0, 0)
Output RGBV (Gamma corrected): (167, 0, 0, v: 15)
max component power: 80.8064
-----------------------------
Input RGB: (145, 0, 0)
Output RGBV (Gamma corrected): (169, 0, 0, v: 15)
max component power: 81.7742
-----------------------------
Input RGB: (146, 0, 0)
Output RGBV (Gamma corrected): (172, 0, 0, v: 15)
max component power: 83.2258
-----------------------------
Input RGB: (147, 0, 0)
Output RGBV (Gamma corrected): (174, 0, 0, v: 15)
max component power: 84.1936
-----------------------------
Input RGB: (148, 0, 0)
Output RGBV (Gamma corrected): (176, 0, 0, v: 15)
max component power: 85.1613
-----------------------------
Input RGB: (149, 0, 0)
Output RGBV (Gamma corrected): (179, 0, 0, v: 15)
max component power: 86.6129
-----------------------------
Input RGB: (150, 0, 0)
Output RGBV (Gamma corrected): (181, 0, 0, v: 15)
max component power: 87.5806
-----------------------------
Input RGB: (151, 0, 0)
Output RGBV (Gamma corrected): (184, 0, 0, v: 15)
max component power: 89.0323
-----------------------------
Input RGB: (152, 0, 0)
Output RGBV (Gamma corrected): (186, 0, 0, v: 15)
max component power: 90
-----------------------------
Input RGB: (153, 0, 0)
Output RGBV (Gamma corrected): (188, 0, 0, v: 15)
max component power: 90.9677
-----------------------------
Input RGB: (154, 0, 0)
Output RGBV (Gamma corrected): (191, 0, 0, v: 15)
max component power: 92.4194
-----------------------------
Input RGB: (155, 0, 0)
Output RGBV (Gamma corrected): (193, 0, 0, v: 15)
max component power: 93.3871
-----------------------------
Input RGB: (156, 0, 0)
Output RGBV (Gamma corrected): (196, 0, 0, v: 15)
max component power: 94.8387
-----------------------------
Input RGB: (157, 0, 0)
Output RGBV (Gamma corrected): (198, 0, 0, v: 15)
max component power: 95.8064
-----------------------------
Input RGB: (158, 0, 0)
Output RGBV (Gamma corrected): (201, 0, 0, v: 15)
max component power: 97.2581
-----------------------------
Input RGB: (159, 0, 0)Output RGBV (Gamma corrected): (204, 0, 0, v: 15)
max component power: 98.7097
-----------------------------
Input RGB: (160, 0, 0)
Output RGBV (Gamma corrected): (206, 0, 0, v: 15)
max component power: 99.6774
-----------------------------
Input RGB: (161, 0, 0)
Output RGBV (Gamma corrected): (209, 0, 0, v: 15)
max component power: 101.129
-----------------------------
Input RGB: (162, 0, 0)
Output RGBV (Gamma corrected): (211, 0, 0, v: 15)
max component power: 102.097
-----------------------------
Input RGB: (163, 0, 0)
Output RGBV (Gamma corrected): (214, 0, 0, v: 15)
max component power: 103.548
-----------------------------
Input RGB: (164, 0, 0)
Output RGBV (Gamma corrected): (217, 0, 0, v: 15)
max component power: 105
-----------------------------
Input RGB: (165, 0, 0)
Output RGBV (Gamma corrected): (219, 0, 0, v: 15)
max component power: 105.968
-----------------------------
Input RGB: (166, 0, 0)
Output RGBV (Gamma corrected): (222, 0, 0, v: 15)
max component power: 107.419
-----------------------------
Input RGB: (167, 0, 0)
Output RGBV (Gamma corrected): (225, 0, 0, v: 15)
max component power: 108.871
-----------------------------
Input RGB: (168, 0, 0)
Output RGBV (Gamma corrected): (227, 0, 0, v: 15)
max component power: 109.839
-----------------------------
Input RGB: (169, 0, 0)
Output RGBV (Gamma corrected): (230, 0, 0, v: 15)
max component power: 111.29
-----------------------------Input RGB: (170, 0, 0)
Output RGBV (Gamma corrected): (233, 0, 0, v: 15)
max component power: 112.742
-----------------------------
Input RGB: (171, 0, 0)
Output RGBV (Gamma corrected): (236, 0, 0, v: 15)
max component power: 114.194
-----------------------------
Input RGB: (172, 0, 0)
Output RGBV (Gamma corrected): (238, 0, 0, v: 15)
max component power: 115.161
-----------------------------
Input RGB: (173, 0, 0)
Output RGBV (Gamma corrected): (241, 0, 0, v: 15)
max component power: 116.613
-----------------------------
Input RGB: (174, 0, 0)
Output RGBV (Gamma corrected): (244, 0, 0, v: 15)
max component power: 118.065
-----------------------------
Input RGB: (175, 0, 0)
Output RGBV (Gamma corrected): (247, 0, 0, v: 15)
max component power: 119.516
-----------------------------
Input RGB: (176, 0, 0)
Output RGBV (Gamma corrected): (250, 0, 0, v: 15)
max component power: 120.968
-----------------------------
Input RGB: (177, 0, 0)
Output RGBV (Gamma corrected): (252, 0, 0, v: 15)
max component power: 121.935
-----------------------------
Input RGB: (178, 0, 0)
Output RGBV (Gamma corrected): (255, 0, 0, v: 15)
max component power: 123.387
-----------------------------
Input RGB: (179, 0, 0)
Output RGBV (Gamma corrected): (125, 0, 0, v: 31)
max component power: 125
-----------------------------
Input RGB: (180, 0, 0)
Output RGBV (Gamma corrected): (126, 0, 0, v: 31)
max component power: 126
-----------------------------
Input RGB: (181, 0, 0)
Output RGBV (Gamma corrected): (127, 0, 0, v: 31)
max component power: 127
-----------------------------
Input RGB: (182, 0, 0)
Output RGBV (Gamma corrected): (129, 0, 0, v: 31)
max component power: 129
-----------------------------
Input RGB: (183, 0, 0)
Output RGBV (Gamma corrected): (130, 0, 0, v: 31)
max component power: 130
-----------------------------
Input RGB: (184, 0, 0)
Output RGBV (Gamma corrected): (132, 0, 0, v: 31)
max component power: 132
-----------------------------
Input RGB: (185, 0, 0)
Output RGBV (Gamma corrected): (133, 0, 0, v: 31)
max component power: 133
-----------------------------
Input RGB: (186, 0, 0)
Output RGBV (Gamma corrected): (135, 0, 0, v: 31)
max component power: 135
-----------------------------
Input RGB: (187, 0, 0)
Output RGBV (Gamma corrected): (136, 0, 0, v: 31)
max component power: 136
-----------------------------
Input RGB: (188, 0, 0)
Output RGBV (Gamma corrected): (138, 0, 0, v: 31)
max component power: 138
-----------------------------
Input RGB: (189, 0, 0)
Output RGBV (Gamma corrected): (139, 0, 0, v: 31)
max component power: 139
-----------------------------
Input RGB: (190, 0, 0)
Output RGBV (Gamma corrected): (141, 0, 0, v: 31)
max component power: 141
-----------------------------
Input RGB: (191, 0, 0)
Output RGBV (Gamma corrected): (142, 0, 0, v: 31)
max component power: 142
-----------------------------
Input RGB: (192, 0, 0)
Output RGBV (Gamma corrected): (144, 0, 0, v: 31)
max component power: 144
-----------------------------
Input RGB: (193, 0, 0)
Output RGBV (Gamma corrected): (145, 0, 0, v: 31)
max component power: 145
-----------------------------
Input RGB: (194, 0, 0)
Output RGBV (Gamma corrected): (147, 0, 0, v: 31)
max component power: 147
-----------------------------
Input RGB: (195, 0, 0)
Output RGBV (Gamma corrected): (148, 0, 0, v: 31)
max component power: 148
-----------------------------
Input RGB: (196, 0, 0)
Output RGBV (Gamma corrected): (150, 0, 0, v: 31)
max component power: 150
-----------------------------
Input RGB: (197, 0, 0)
Output RGBV (Gamma corrected): (151, 0, 0, v: 31)
max component power: 151
-----------------------------
Input RGB: (198, 0, 0)
Output RGBV (Gamma corrected): (153, 0, 0, v: 31)
max component power: 153
-----------------------------
Input RGB: (199, 0, 0)
Output RGBV (Gamma corrected): (154, 0, 0, v: 31)
max component power: 154
-----------------------------
Input RGB: (200, 0, 0)
Output RGBV (Gamma corrected): (156, 0, 0, v: 31)
max component power: 156
-----------------------------
Input RGB: (201, 0, 0)
Output RGBV (Gamma corrected): (157, 0, 0, v: 31)
max component power: 157
-----------------------------
Input RGB: (202, 0, 0)
Output RGBV (Gamma corrected): (159, 0, 0, v: 31)
max component power: 159
-----------------------------
Input RGB: (203, 0, 0)
Output RGBV (Gamma corrected): (160, 0, 0, v: 31)
max component power: 160
-----------------------------
Input RGB: (204, 0, 0)
Output RGBV (Gamma corrected): (162, 0, 0, v: 31)
max component power: 162
-----------------------------
Input RGB: (205, 0, 0)
Output RGBV (Gamma corrected): (164, 0, 0, v: 31)
max component power: 164
-----------------------------
Input RGB: (206, 0, 0)
Output RGBV (Gamma corrected): (165, 0, 0, v: 31)
max component power: 165
-----------------------------
Input RGB: (207, 0, 0)
Output RGBV (Gamma corrected): (167, 0, 0, v: 31)
max component power: 167
-----------------------------
Input RGB: (208, 0, 0)
Output RGBV (Gamma corrected): (169, 0, 0, v: 31)
max component power: 169
-----------------------------
Input RGB: (209, 0, 0)
Output RGBV (Gamma corrected): (170, 0, 0, v: 31)
max component power: 170
-----------------------------
Input RGB: (210, 0, 0)
Output RGBV (Gamma corrected): (172, 0, 0, v: 31)
max component power: 172
-----------------------------
Input RGB: (211, 0, 0)
Output RGBV (Gamma corrected): (173, 0, 0, v: 31)
max component power: 173
-----------------------------
Input RGB: (212, 0, 0)
Output RGBV (Gamma corrected): (175, 0, 0, v: 31)
max component power: 175
-----------------------------
Input RGB: (213, 0, 0)
Output RGBV (Gamma corrected): (177, 0, 0, v: 31)
max component power: 177
-----------------------------
Input RGB: (214, 0, 0)
Output RGBV (Gamma corrected): (178, 0, 0, v: 31)
max component power: 178
-----------------------------
Input RGB: (215, 0, 0)
Output RGBV (Gamma corrected): (180, 0, 0, v: 31)
max component power: 180
-----------------------------
Input RGB: (216, 0, 0)
Output RGBV (Gamma corrected): (182, 0, 0, v: 31)
max component power: 182
-----------------------------
Input RGB: (217, 0, 0)
Output RGBV (Gamma corrected): (183, 0, 0, v: 31)
max component power: 183
-----------------------------
Input RGB: (218, 0, 0)
Output RGBV (Gamma corrected): (185, 0, 0, v: 31)
max component power: 185
-----------------------------
Input RGB: (219, 0, 0)
Output RGBV (Gamma corrected): (187, 0, 0, v: 31)
max component power: 187
-----------------------------
Input RGB: (220, 0, 0)
Output RGBV (Gamma corrected): (189, 0, 0, v: 31)
max component power: 189
-----------------------------
Input RGB: (221, 0, 0)
Output RGBV (Gamma corrected): (190, 0, 0, v: 31)
max component power: 190
-----------------------------
Input RGB: (222, 0, 0)
Output RGBV (Gamma corrected): (192, 0, 0, v: 31)
max component power: 192
-----------------------------
Input RGB: (223, 0, 0)
Output RGBV (Gamma corrected): (194, 0, 0, v: 31)
max component power: 194
-----------------------------
Input RGB: (224, 0, 0)
Output RGBV (Gamma corrected): (196, 0, 0, v: 31)
max component power: 196
-----------------------------
Input RGB: (225, 0, 0)
Output RGBV (Gamma corrected): (197, 0, 0, v: 31)
max component power: 197
-----------------------------
Input RGB: (226, 0, 0)
Output RGBV (Gamma corrected): (199, 0, 0, v: 31)
max component power: 199
-----------------------------
Input RGB: (227, 0, 0)
Output RGBV (Gamma corrected): (201, 0, 0, v: 31)
max component power: 201
-----------------------------
Input RGB: (228, 0, 0)
Output RGBV (Gamma corrected): (203, 0, 0, v: 31)
max component power: 203
-----------------------------
Input RGB: (229, 0, 0)
Output RGBV (Gamma corrected): (204, 0, 0, v: 31)
max component power: 204
-----------------------------
Input RGB: (230, 0, 0)
Output RGBV (Gamma corrected): (206, 0, 0, v: 31)
max component power: 206
-----------------------------
Input RGB: (231, 0, 0)
Output RGBV (Gamma corrected): (208, 0, 0, v: 31)
max component power: 208
-----------------------------
Input RGB: (232, 0, 0)
Output RGBV (Gamma corrected): (210, 0, 0, v: 31)
max component power: 210
-----------------------------
Input RGB: (233, 0, 0)
Output RGBV (Gamma corrected): (212, 0, 0, v: 31)
max component power: 212
-----------------------------
Input RGB: (234, 0, 0)
Output RGBV (Gamma corrected): (213, 0, 0, v: 31)
max component power: 213
-----------------------------
Input RGB: (235, 0, 0)
Output RGBV (Gamma corrected): (215, 0, 0, v: 31)
max component power: 215
-----------------------------
Input RGB: (236, 0, 0)
Output RGBV (Gamma corrected): (217, 0, 0, v: 31)
max component power: 217
-----------------------------
Input RGB: (237, 0, 0)
Output RGBV (Gamma corrected): (219, 0, 0, v: 31)
max component power: 219
-----------------------------
Input RGB: (238, 0, 0)
Output RGBV (Gamma corrected): (221, 0, 0, v: 31)
max component power: 221
-----------------------------
Input RGB: (239, 0, 0)
Output RGBV (Gamma corrected): (223, 0, 0, v: 31)
max component power: 223
-----------------------------
Input RGB: (240, 0, 0)
Output RGBV (Gamma corrected): (225, 0, 0, v: 31)
max component power: 225
-----------------------------
Input RGB: (241, 0, 0)
Output RGBV (Gamma corrected): (226, 0, 0, v: 31)
max component power: 226
-----------------------------
Input RGB: (242, 0, 0)
Output RGBV (Gamma corrected): (228, 0, 0, v: 31)
max component power: 228
-----------------------------
Input RGB: (243, 0, 0)
Output RGBV (Gamma corrected): (230, 0, 0, v: 31)
max component power: 230
-----------------------------
Input RGB: (244, 0, 0)
Output RGBV (Gamma corrected): (232, 0, 0, v: 31)
max component power: 232
-----------------------------
Input RGB: (245, 0, 0)
Output RGBV (Gamma corrected): (234, 0, 0, v: 31)
max component power: 234
-----------------------------
Input RGB: (246, 0, 0)
Output RGBV (Gamma corrected): (236, 0, 0, v: 31)
max component power: 236
-----------------------------
Input RGB: (247, 0, 0)
Output RGBV (Gamma corrected): (238, 0, 0, v: 31)
max component power: 238
-----------------------------
Input RGB: (248, 0, 0)
Output RGBV (Gamma corrected): (240, 0, 0, v: 31)
max component power: 240
-----------------------------
Input RGB: (249, 0, 0)
Output RGBV (Gamma corrected): (242, 0, 0, v: 31)
max component power: 242
-----------------------------
Input RGB: (250, 0, 0)
Output RGBV (Gamma corrected): (244, 0, 0, v: 31)
max component power: 244
-----------------------------
Input RGB: (251, 0, 0)
Output RGBV (Gamma corrected): (246, 0, 0, v: 31)
max component power: 246
-----------------------------
Input RGB: (252, 0, 0)
Output RGBV (Gamma corrected): (248, 0, 0, v: 31)
max component power: 248
-----------------------------
Input RGB: (253, 0, 0)
Output RGBV (Gamma corrected): (250, 0, 0, v: 31)
max component power: 250
-----------------------------
Input RGB: (254, 0, 0)
Output RGBV (Gamma corrected): (252, 0, 0, v: 31)
max component power: 252
-----------------------------
Input RGB: (255, 0, 0)
Output RGBV (Gamma corrected): (255, 0, 0, v: 31)
max component power: 255
-----------------------------

---- Other Values ----

Input RGB: (255, 255, 255)
Output RGBV (Gamma corrected): (255, 255, 255, v: 31)
max component power: 255
-----------------------------
Input RGB: (127, 1, 1)
Output RGBV (Gamma corrected): (130, 0, 0, v: 15)
max component power: 62.9032
-----------------------------
Input RGB: (128, 1, 1)
Output RGBV (Gamma corrected): (132, 0, 0, v: 15)
max component power: 63.871
-----------------------------
Input RGB: (128, 16, 1)
Output RGBV (Gamma corrected): (132, 2, 0, v: 15)
max component power: 63.871
-----------------------------
Input RGB: (32, 16, 1)
Output RGBV (Gamma corrected): (124, 31, 1, v: 1)
max component power: 4
-----------------------------
Input RGB: (3, 6, 1)
Output RGBV (Gamma corrected): (3, 6, 1, v: 1)
max component power: 0.193548
-----------------------------

@zackees zackees changed the title High Bit Depth Algorithm for APA102/Dotstar LEDs High Bit Depth Gamma Correction Algorithm for APA102/Dotstar LEDs Sep 28, 2023
@zackees zackees mentioned this issue Sep 30, 2023
Merged
@Joshfindit
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Joshfindit commented Jan 23, 2024 •
edited

@zackees Apologies if I'm out of line, I just ran across this issues during research and noticed it's resolved by the linked (merged) PR.

@zackees
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zackees commented Jan 25, 2024

Yeah I had to shift scaling post gamma instead of pre gamma.

@zackees zackees closed this as completed Jan 25, 2024
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