diff --git a/src/omv/img/imlib.c b/src/omv/img/imlib.c index 85d3e1a06..8458ab933 100644 --- a/src/omv/img/imlib.c +++ b/src/omv/img/imlib.c @@ -1071,7 +1071,7 @@ void imlib_chrominvar(image_t *img) } } -extern const uint8_t invariant_table[65536]; +extern const uint16_t invariant_table[65536]; void imlib_illuminvar(image_t *img) // http://ai.stanford.edu/~alireza/publication/cic15.pdf { @@ -1088,7 +1088,7 @@ void imlib_illuminvar(image_t *img) // http://ai.stanford.edu/~alireza/publicati for (int x = 0, xx = img->w; x < xx; x++) { int pixel = IMAGE_GET_RGB565_PIXEL_FAST(row_ptr, x); #ifdef OMV_HAVE_INVARIANT_TABLE - int chi_int = invariant_table[pixel]; + int rgb565 = invariant_table[pixel]; #else float r_lin = xyz_table[COLOR_RGB565_TO_R8(pixel)] + 1.0; float g_lin = xyz_table[COLOR_RGB565_TO_G8(pixel)] + 1.0; @@ -1118,9 +1118,46 @@ void imlib_illuminvar(image_t *img) // http://ai.stanford.edu/~alireza/publicati float chi_x = (r_lin_sharp_div_log * 0.7071f) + (g_lin_sharp_div_log * -0.7071f) + (b_lin_sharp_div_log * 0.0000f); float chi_y = (r_lin_sharp_div_log * 0.4082f) + (g_lin_sharp_div_log * 0.4082f) + (b_lin_sharp_div_log * -0.8164f); - int chi_int = IM_MAX(IM_MIN(fast_roundf(fast_expf((chi_x * 0.9326f) + (chi_y * -0.3609f)) * 127.5f), COLOR_GRAYSCALE_MAX), COLOR_GRAYSCALE_MIN); + + float e_t_x = 0.9326f; + float e_t_y = -0.3609f; + + float p_th_00 = e_t_x * e_t_x; + float p_th_01 = e_t_x * e_t_y; + float p_th_10 = e_t_y * e_t_x; + float p_th_11 = e_t_y * e_t_y; + + float x_th_x = (p_th_00 * chi_x) + (p_th_01 * chi_y); + float x_th_y = (p_th_10 * chi_x) + (p_th_11 * chi_y); + + float r_chi = (x_th_x * 0.7071f) + (x_th_y * 0.4082f); + float g_chi = (x_th_x * -0.7071f) + (x_th_y * 0.4082f); + float b_chi = (x_th_x * 0.0000f) + (x_th_y * -0.8164f); + + float r_chi_invariant = fast_expf(r_chi); + float g_chi_invariant = fast_expf(g_chi); + float b_chi_invariant = fast_expf(b_chi); + + float chi_invariant_sum = r_chi_invariant + g_chi_invariant + b_chi_invariant; + + float r_chi_invariant_m = 0.0f; + float g_chi_invariant_m = 0.0f; + float b_chi_invariant_m = 0.0f; + + if (chi_invariant_sum > 0.0f) { + chi_invariant_sum = 1.0f / chi_invariant_sum; + r_chi_invariant_m = r_chi_invariant * chi_invariant_sum; + g_chi_invariant_m = g_chi_invariant * chi_invariant_sum; + b_chi_invariant_m = b_chi_invariant * chi_invariant_sum; + } + + int r_chi_invariant_m_int = IM_MAX(IM_MIN(r_chi_invariant_m * 255.0f, COLOR_R8_MAX), COLOR_R8_MIN); + int g_chi_invariant_m_int = IM_MAX(IM_MIN(g_chi_invariant_m * 255.0f, COLOR_G8_MAX), COLOR_G8_MIN); + int b_chi_invariant_m_int = IM_MAX(IM_MIN(b_chi_invariant_m * 255.0f, COLOR_B8_MAX), COLOR_B8_MIN); + + int rgb565 = COLOR_R8_G8_B8_TO_RGB565(r_chi_invariant_m_int, g_chi_invariant_m_int, b_chi_invariant_m_int); #endif - IMAGE_PUT_RGB565_PIXEL_FAST(row_ptr, x, COLOR_R8_G8_B8_TO_RGB565(chi_int, chi_int, chi_int)); + IMAGE_PUT_RGB565_PIXEL_FAST(row_ptr, x, rgb565); } } diff --git a/src/omv/img/invariant_tab.c b/src/omv/img/invariant_tab.c index 4f952a04e..c88b06065 100644 --- a/src/omv/img/invariant_tab.c +++ b/src/omv/img/invariant_tab.c @@ -1,4099 +1,4099 @@ #include -const uint8_t invariant_table[65536] = { - 128, 63, 30, 17, 11, 7, 4, 128, 143, 70, 33, 19, 12, 8, 4, 128, - 159, 78, 37, 21, 13, 8, 5, 128, 182, 88, 41, 23, 14, 9, 5, 128, - 207, 100, 47, 26, 16, 10, 5, 128, 235, 114, 53, 29, 17, 11, 6, 128, - 255, 129, 59, 33, 19, 12, 7, 128, 255, 147, 68, 37, 22, 14, 8, 128, - 255, 165, 75, 41, 24, 15, 8, 128, 255, 183, 84, 45, 27, 17, 9, 128, - 255, 203, 92, 50, 30, 18, 11, 128, 255, 224, 102, 55, 32, 20, 12, 128, - 255, 249, 113, 61, 36, 22, 13, 128, 255, 255, 123, 66, 39, 24, 15, 128, - 255, 255, 133, 72, 42, 27, 16, 128, 255, 255, 144, 78, 46, 29, 18, 128, - 255, 255, 157, 85, 50, 32, 19, 128, 255, 255, 169, 91, 54, 34, 21, 6, - 255, 255, 182, 98, 58, 37, 23, 9, 255, 255, 195, 105, 62, 39, 25, 12, - 255, 255, 210, 113, 67, 43, 27, 14, 255, 255, 225, 120, 71, 46, 29, 16, - 255, 255, 240, 128, 76, 49, 32, 18, 255, 255, 255, 136, 81, 52, 34, 20, - 255, 255, 255, 144, 86, 55, 36, 22, 255, 255, 255, 154, 92, 59, 39, 24, - 255, 255, 255, 163, 97, 63, 42, 26, 255, 255, 255, 173, 103, 67, 45, 29, - 255, 255, 255, 182, 108, 70, 47, 31, 255, 255, 255, 194, 115, 75, 51, 33, - 255, 255, 255, 204, 121, 79, 54, 36, 255, 255, 255, 215, 128, 83, 57, 38, - 136, 67, 32, 19, 12, 8, 6, 128, 152, 75, 36, 20, 13, 9, 6, 128, - 169, 83, 39, 22, 14, 9, 6, 128, 193, 94, 44, 25, 15, 10, 7, 128, - 220, 107, 50, 28, 17, 11, 7, 128, 250, 121, 56, 31, 19, 13, 8, 2, - 255, 137, 64, 35, 21, 14, 9, 3, 255, 156, 72, 40, 24, 16, 10, 3, - 255, 175, 81, 44, 27, 17, 11, 4, 255, 195, 89, 49, 29, 19, 12, 5, - 255, 215, 99, 54, 32, 21, 13, 6, 255, 237, 108, 59, 35, 23, 15, 7, - 255, 255, 120, 65, 39, 25, 16, 8, 255, 255, 130, 71, 42, 27, 18, 9, - 255, 255, 141, 77, 46, 30, 19, 10, 255, 255, 153, 83, 49, 32, 21, 11, - 255, 255, 166, 90, 54, 35, 23, 13, 255, 255, 179, 97, 58, 37, 24, 14, - 255, 255, 192, 103, 62, 40, 26, 16, 255, 255, 205, 111, 66, 43, 28, 17, - 255, 255, 221, 119, 71, 46, 31, 19, 255, 255, 236, 127, 76, 49, 33, 21, - 255, 255, 251, 135, 80, 52, 35, 22, 255, 255, 255, 143, 85, 56, 37, 24, - 255, 255, 255, 151, 90, 59, 40, 26, 255, 255, 255, 161, 96, 63, 43, 28, - 255, 255, 255, 171, 102, 67, 45, 30, 255, 255, 255, 180, 107, 70, 48, 32, - 255, 255, 255, 190, 113, 74, 51, 34, 255, 255, 255, 202, 120, 79, 54, 37, - 255, 255, 255, 212, 126, 83, 57, 39, 255, 255, 255, 223, 133, 87, 60, 41, - 144, 71, 34, 20, 13, 9, 7, 4, 161, 79, 38, 22, 14, 10, 7, 4, - 178, 88, 42, 24, 15, 10, 7, 5, 204, 100, 47, 27, 17, 11, 8, 5, - 232, 113, 53, 30, 19, 13, 9, 5, 255, 128, 60, 33, 21, 14, 10, 6, - 255, 145, 68, 38, 23, 15, 10, 7, 255, 166, 77, 42, 26, 17, 12, 7, - 255, 185, 86, 47, 29, 19, 13, 8, 255, 206, 95, 52, 32, 21, 14, 9, - 255, 228, 105, 57, 35, 23, 15, 10, 255, 251, 115, 63, 38, 25, 17, 10, - 255, 255, 127, 69, 42, 27, 18, 12, 255, 255, 138, 75, 45, 30, 20, 13, - 255, 255, 149, 81, 49, 32, 22, 14, 255, 255, 161, 88, 53, 35, 23, 15, - 255, 255, 175, 95, 57, 38, 25, 16, 255, 255, 188, 102, 61, 40, 27, 18, - 255, 255, 202, 109, 66, 43, 29, 19, 255, 255, 216, 117, 70, 46, 31, 21, - 255, 255, 232, 125, 75, 49, 34, 22, 255, 255, 247, 133, 80, 53, 36, 24, - 255, 255, 255, 141, 85, 56, 38, 26, 255, 255, 255, 150, 90, 59, 40, 27, - 255, 255, 255, 159, 95, 63, 43, 29, 255, 255, 255, 169, 101, 67, 46, 31, - 255, 255, 255, 178, 107, 70, 48, 33, 255, 255, 255, 188, 113, 74, 51, 35, - 255, 255, 255, 198, 118, 78, 54, 37, 255, 255, 255, 210, 125, 83, 57, 40, - 255, 255, 255, 220, 132, 87, 60, 42, 255, 255, 255, 231, 138, 91, 63, 44, - 155, 77, 37, 22, 14, 10, 8, 6, 173, 86, 41, 24, 15, 11, 8, 6, - 192, 95, 45, 26, 17, 12, 9, 6, 219, 108, 51, 29, 18, 13, 9, 7, - 249, 122, 58, 33, 20, 14, 10, 7, 255, 139, 65, 36, 23, 16, 11, 8, - 255, 156, 73, 41, 25, 17, 12, 9, 255, 178, 83, 46, 29, 19, 14, 9, - 255, 199, 92, 51, 32, 21, 15, 10, 255, 221, 102, 57, 35, 23, 16, 11, - 255, 245, 113, 62, 38, 25, 18, 12, 255, 255, 124, 68, 42, 28, 19, 13, - 255, 255, 136, 75, 46, 30, 21, 15, 255, 255, 148, 81, 50, 33, 23, 16, - 255, 255, 161, 88, 53, 36, 25, 17, 255, 255, 173, 95, 58, 38, 26, 18, - 255, 255, 188, 103, 62, 41, 29, 20, 255, 255, 202, 110, 67, 44, 31, 21, - 255, 255, 216, 117, 71, 47, 33, 23, 255, 255, 230, 125, 76, 50, 35, 24, - 255, 255, 248, 134, 81, 54, 37, 26, 255, 255, 255, 142, 86, 57, 40, 28, - 255, 255, 255, 151, 91, 61, 42, 29, 255, 255, 255, 160, 96, 64, 45, 31, - 255, 255, 255, 169, 102, 68, 47, 33, 255, 255, 255, 179, 108, 72, 50, 35, - 255, 255, 255, 189, 114, 76, 53, 37, 255, 255, 255, 199, 120, 80, 56, 39, - 255, 255, 255, 209, 126, 84, 58, 41, 255, 255, 255, 221, 133, 88, 62, 44, - 255, 255, 255, 232, 139, 93, 65, 46, 255, 255, 255, 244, 146, 97, 68, 48, - 165, 83, 40, 24, 16, 11, 9, 7, 185, 92, 44, 26, 17, 12, 9, 7, - 205, 102, 49, 28, 18, 13, 10, 7, 234, 116, 55, 31, 20, 14, 11, 8, - 255, 131, 62, 35, 22, 16, 12, 9, 255, 149, 70, 39, 25, 17, 13, 9, - 255, 168, 79, 44, 28, 19, 14, 10, 255, 191, 89, 50, 31, 21, 15, 11, - 255, 214, 99, 55, 34, 23, 17, 12, 255, 237, 110, 61, 38, 26, 18, 13, - 255, 255, 121, 67, 41, 28, 20, 14, 255, 255, 133, 73, 45, 30, 22, 15, - 255, 255, 146, 81, 50, 33, 24, 17, 255, 255, 159, 88, 54, 36, 25, 18, - 255, 255, 172, 95, 58, 39, 27, 20, 255, 255, 185, 102, 62, 42, 29, 21, - 255, 255, 201, 110, 67, 45, 32, 23, 255, 255, 215, 118, 72, 48, 34, 24, - 255, 255, 230, 126, 77, 51, 36, 26, 255, 255, 246, 134, 82, 55, 38, 27, - 255, 255, 255, 143, 87, 58, 41, 29, 255, 255, 255, 152, 92, 62, 43, 31, - 255, 255, 255, 161, 98, 65, 46, 33, 255, 255, 255, 170, 103, 69, 49, 35, - 255, 255, 255, 179, 109, 73, 51, 37, 255, 255, 255, 190, 115, 77, 54, 39, - 255, 255, 255, 200, 121, 81, 57, 41, 255, 255, 255, 211, 127, 85, 60, 43, - 255, 255, 255, 221, 134, 89, 63, 45, 255, 255, 255, 234, 141, 94, 66, 48, - 255, 255, 255, 245, 147, 98, 69, 50, 255, 255, 255, 255, 154, 103, 73, 52, - 176, 89, 43, 25, 17, 13, 10, 8, 197, 99, 48, 28, 18, 13, 10, 8, - 218, 109, 52, 30, 20, 14, 11, 9, 250, 124, 59, 34, 22, 16, 12, 9, - 255, 140, 67, 38, 24, 17, 13, 10, 255, 159, 75, 43, 27, 19, 14, 11, - 255, 180, 85, 48, 30, 21, 15, 11, 255, 205, 96, 54, 34, 23, 17, 13, - 255, 229, 107, 60, 37, 26, 18, 14, 255, 254, 118, 66, 41, 28, 20, 15, - 255, 255, 130, 72, 45, 31, 22, 16, 255, 255, 142, 79, 49, 33, 24, 17, - 255, 255, 157, 87, 54, 36, 26, 19, 255, 255, 170, 94, 58, 39, 28, 20, - 255, 255, 184, 102, 62, 42, 30, 22, 255, 255, 198, 109, 67, 45, 32, 24, - 255, 255, 215, 118, 72, 49, 35, 25, 255, 255, 230, 126, 77, 52, 37, 27, - 255, 255, 246, 135, 82, 56, 39, 29, 255, 255, 255, 143, 88, 59, 42, 30, - 255, 255, 255, 153, 94, 63, 45, 33, 255, 255, 255, 162, 99, 67, 47, 34, - 255, 255, 255, 172, 105, 70, 50, 36, 255, 255, 255, 181, 110, 74, 53, 38, - 255, 255, 255, 191, 116, 78, 55, 40, 255, 255, 255, 202, 123, 83, 59, 43, - 255, 255, 255, 213, 129, 87, 62, 45, 255, 255, 255, 224, 136, 91, 65, 47, - 255, 255, 255, 235, 142, 95, 68, 49, 255, 255, 255, 247, 150, 100, 71, 52, - 255, 255, 255, 255, 156, 105, 74, 54, 255, 255, 255, 255, 163, 110, 78, 57, - 187, 95, 46, 27, 18, 14, 11, 9, 209, 105, 51, 30, 20, 15, 11, 9, - 232, 116, 56, 33, 21, 15, 12, 9, 255, 133, 64, 37, 24, 17, 13, 10, - 255, 150, 72, 41, 26, 19, 14, 11, 255, 170, 81, 46, 29, 20, 15, 12, - 255, 192, 91, 51, 32, 23, 17, 13, 255, 219, 103, 58, 36, 25, 19, 14, - 255, 244, 114, 64, 40, 28, 20, 15, 255, 255, 127, 71, 44, 30, 22, 17, - 255, 255, 139, 78, 48, 33, 24, 18, 255, 255, 152, 85, 53, 36, 26, 19, - 255, 255, 168, 93, 58, 39, 28, 21, 255, 255, 182, 101, 62, 42, 31, 23, - 255, 255, 197, 109, 67, 46, 33, 24, 255, 255, 212, 117, 72, 49, 35, 26, - 255, 255, 229, 126, 78, 53, 38, 28, 255, 255, 245, 135, 83, 56, 40, 30, - 255, 255, 255, 144, 88, 60, 43, 32, 255, 255, 255, 153, 94, 64, 45, 33, - 255, 255, 255, 163, 100, 68, 48, 36, 255, 255, 255, 173, 106, 72, 51, 38, - 255, 255, 255, 183, 112, 76, 54, 40, 255, 255, 255, 193, 118, 80, 57, 42, - 255, 255, 255, 203, 124, 84, 60, 44, 255, 255, 255, 215, 131, 89, 63, 46, - 255, 255, 255, 226, 138, 93, 66, 49, 255, 255, 255, 237, 144, 97, 69, 51, - 255, 255, 255, 249, 151, 102, 73, 53, 255, 255, 255, 255, 159, 107, 76, 56, - 255, 255, 255, 255, 166, 112, 80, 58, 255, 255, 255, 255, 173, 117, 83, 61, - 199, 102, 50, 30, 20, 15, 12, 10, 223, 113, 55, 32, 21, 16, 12, 10, - 246, 125, 60, 35, 23, 17, 13, 11, 255, 142, 68, 39, 26, 18, 14, 11, - 255, 161, 77, 44, 28, 20, 15, 12, 255, 182, 87, 49, 31, 22, 17, 13, - 255, 205, 97, 55, 35, 25, 18, 14, 255, 234, 111, 62, 39, 27, 20, 16, - 255, 255, 123, 69, 43, 30, 22, 17, 255, 255, 136, 76, 48, 33, 24, 18, - 255, 255, 150, 84, 52, 36, 26, 20, 255, 255, 164, 91, 57, 39, 28, 21, - 255, 255, 180, 100, 62, 43, 31, 23, 255, 255, 195, 109, 67, 46, 33, 25, - 255, 255, 211, 117, 73, 50, 36, 27, 255, 255, 227, 126, 78, 53, 38, 29, - 255, 255, 246, 136, 84, 57, 41, 31, 255, 255, 255, 145, 90, 61, 44, 33, - 255, 255, 255, 155, 95, 65, 47, 35, 255, 255, 255, 164, 101, 69, 49, 37, - 255, 255, 255, 175, 108, 73, 53, 39, 255, 255, 255, 185, 114, 77, 56, 41, - 255, 255, 255, 196, 120, 82, 59, 43, 255, 255, 255, 206, 127, 86, 62, 46, - 255, 255, 255, 217, 133, 90, 65, 48, 255, 255, 255, 230, 141, 95, 68, 51, - 255, 255, 255, 241, 147, 100, 72, 53, 255, 255, 255, 253, 154, 104, 75, 55, - 255, 255, 255, 255, 161, 109, 78, 58, 255, 255, 255, 255, 170, 115, 82, 61, - 255, 255, 255, 255, 177, 120, 86, 63, 255, 255, 255, 255, 185, 125, 89, 66, - 209, 108, 53, 32, 21, 16, 13, 10, 234, 120, 59, 34, 23, 17, 13, 11, - 255, 132, 64, 37, 25, 18, 14, 11, 255, 150, 73, 42, 27, 20, 15, 12, - 255, 170, 82, 47, 30, 22, 16, 13, 255, 193, 92, 53, 34, 24, 18, 14, - 255, 217, 104, 59, 37, 26, 20, 15, 255, 247, 117, 66, 42, 29, 22, 17, - 255, 255, 131, 74, 46, 32, 24, 18, 255, 255, 144, 81, 51, 35, 26, 20, - 255, 255, 159, 89, 56, 38, 28, 21, 255, 255, 174, 97, 61, 42, 31, 23, - 255, 255, 191, 107, 66, 46, 33, 25, 255, 255, 207, 115, 72, 49, 36, 27, - 255, 255, 224, 124, 77, 53, 38, 29, 255, 255, 241, 134, 83, 57, 41, 31, - 255, 255, 255, 144, 89, 61, 44, 33, 255, 255, 255, 154, 95, 65, 47, 35, - 255, 255, 255, 164, 101, 69, 50, 37, 255, 255, 255, 174, 107, 73, 53, 39, - 255, 255, 255, 186, 115, 78, 56, 42, 255, 255, 255, 197, 121, 82, 59, 44, - 255, 255, 255, 207, 128, 87, 63, 47, 255, 255, 255, 219, 134, 91, 66, 49, - 255, 255, 255, 230, 141, 96, 69, 51, 255, 255, 255, 243, 149, 101, 73, 54, - 255, 255, 255, 255, 156, 106, 76, 57, 255, 255, 255, 255, 163, 111, 80, 59, - 255, 255, 255, 255, 171, 116, 83, 62, 255, 255, 255, 255, 179, 121, 87, 65, - 255, 255, 255, 255, 187, 127, 91, 68, 255, 255, 255, 255, 195, 132, 95, 70, - 219, 113, 56, 33, 23, 17, 14, 11, 244, 126, 62, 37, 24, 18, 14, 12, - 255, 139, 68, 40, 26, 19, 15, 12, 255, 158, 77, 45, 29, 21, 16, 13, - 255, 179, 86, 50, 32, 23, 18, 14, 255, 203, 97, 56, 36, 25, 19, 15, - 255, 229, 110, 62, 40, 28, 21, 16, 255, 255, 124, 70, 45, 31, 23, 18, - 255, 255, 138, 78, 49, 34, 25, 20, 255, 255, 153, 86, 54, 38, 28, 21, - 255, 255, 168, 94, 59, 41, 30, 23, 255, 255, 184, 103, 64, 44, 33, 25, - 255, 255, 202, 113, 71, 49, 36, 27, 255, 255, 219, 122, 76, 52, 38, 29, - 255, 255, 236, 132, 82, 56, 41, 31, 255, 255, 254, 141, 88, 60, 44, 33, - 255, 255, 255, 153, 95, 65, 47, 35, 255, 255, 255, 163, 101, 69, 50, 38, - 255, 255, 255, 173, 107, 73, 53, 40, 255, 255, 255, 184, 114, 78, 56, 42, - 255, 255, 255, 196, 121, 83, 60, 45, 255, 255, 255, 208, 128, 87, 63, 47, - 255, 255, 255, 219, 135, 92, 66, 50, 255, 255, 255, 231, 142, 97, 70, 52, - 255, 255, 255, 243, 149, 102, 73, 55, 255, 255, 255, 255, 157, 107, 77, 58, - 255, 255, 255, 255, 165, 112, 81, 60, 255, 255, 255, 255, 173, 117, 84, 63, - 255, 255, 255, 255, 180, 122, 88, 66, 255, 255, 255, 255, 189, 128, 92, 69, - 255, 255, 255, 255, 197, 134, 96, 72, 255, 255, 255, 255, 205, 139, 100, 75, - 228, 119, 59, 35, 24, 18, 14, 12, 254, 132, 65, 39, 26, 19, 15, 12, - 255, 146, 72, 42, 28, 20, 16, 13, 255, 166, 81, 47, 31, 22, 17, 14, - 255, 188, 91, 53, 34, 24, 19, 15, 255, 213, 103, 59, 38, 27, 20, 16, - 255, 240, 115, 66, 42, 30, 22, 17, 255, 255, 131, 74, 47, 33, 25, 19, - 255, 255, 145, 82, 52, 36, 27, 21, 255, 255, 161, 91, 57, 40, 29, 23, - 255, 255, 177, 100, 62, 43, 32, 24, 255, 255, 193, 109, 68, 47, 35, 26, - 255, 255, 213, 119, 75, 51, 38, 29, 255, 255, 230, 129, 80, 55, 41, 31, - 255, 255, 249, 139, 87, 60, 43, 33, 255, 255, 255, 149, 93, 64, 46, 35, - 255, 255, 255, 161, 100, 69, 50, 38, 255, 255, 255, 172, 107, 73, 53, 40, - 255, 255, 255, 183, 113, 78, 56, 42, 255, 255, 255, 194, 120, 82, 60, 45, - 255, 255, 255, 207, 128, 88, 63, 48, 255, 255, 255, 219, 135, 92, 67, 50, - 255, 255, 255, 231, 142, 97, 70, 53, 255, 255, 255, 243, 150, 102, 74, 55, - 255, 255, 255, 255, 157, 107, 78, 58, 255, 255, 255, 255, 166, 113, 82, 61, - 255, 255, 255, 255, 174, 118, 85, 64, 255, 255, 255, 255, 182, 124, 89, 67, - 255, 255, 255, 255, 190, 129, 93, 70, 255, 255, 255, 255, 199, 135, 98, 73, - 255, 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194, 133, 98, 74, 59, 255, 255, 255, 207, 141, 104, 79, 63, - 255, 255, 255, 219, 150, 110, 84, 66, 255, 255, 255, 232, 159, 116, 88, 70, - 255, 255, 255, 247, 169, 124, 94, 74, 255, 255, 255, 255, 178, 130, 99, 78, - 255, 255, 255, 255, 187, 137, 103, 82, 255, 255, 255, 255, 196, 143, 109, 86, - 255, 255, 255, 255, 206, 150, 114, 90, 255, 255, 255, 255, 216, 158, 119, 94, - 255, 255, 255, 255, 226, 165, 125, 98, 255, 255, 255, 255, 236, 172, 130, 102, - 255, 255, 255, 255, 246, 179, 135, 106, 255, 255, 255, 255, 255, 187, 141, 111, - 255, 255, 255, 255, 255, 194, 147, 115, 255, 255, 255, 255, 255, 202, 152, 120, - 191, 112, 70, 49, 37, 29, 25, 21, 210, 123, 76, 52, 39, 31, 26, 22, - 230, 134, 83, 56, 41, 33, 27, 23, 255, 150, 92, 62, 45, 35, 29, 24, - 255, 168, 103, 69, 49, 38, 31, 26, 255, 189, 114, 76, 54, 41, 33, 27, - 255, 211, 128, 84, 60, 45, 36, 30, 255, 239, 144, 94, 66, 50, 39, 32, - 255, 255, 159, 104, 73, 54, 42, 35, 255, 255, 175, 114, 79, 59, 46, 37, - 255, 255, 192, 125, 87, 64, 50, 40, 255, 255, 209, 136, 94, 70, 54, 43, - 255, 255, 229, 148, 102, 76, 58, 47, 255, 255, 247, 160, 110, 81, 62, 50, - 255, 255, 255, 172, 118, 87, 67, 53, 255, 255, 255, 184, 127, 93, 71, 57, - 255, 255, 255, 198, 136, 100, 76, 61, 255, 255, 255, 211, 145, 106, 81, 64, - 255, 255, 255, 224, 154, 113, 86, 68, 255, 255, 255, 237, 162, 119, 91, 72, - 255, 255, 255, 252, 173, 127, 96, 76, 255, 255, 255, 255, 182, 133, 101, 80, - 255, 255, 255, 255, 191, 140, 106, 84, 255, 255, 255, 255, 201, 147, 111, 88, - 255, 255, 255, 255, 210, 154, 116, 92, 255, 255, 255, 255, 221, 162, 122, 97, - 255, 255, 255, 255, 231, 169, 128, 101, 255, 255, 255, 255, 241, 176, 133, 105, - 255, 255, 255, 255, 251, 183, 138, 109, 255, 255, 255, 255, 255, 192, 145, 114, - 255, 255, 255, 255, 255, 199, 150, 118, 255, 255, 255, 255, 255, 207, 156, 123, - 192, 114, 72, 50, 37, 30, 25, 22, 211, 124, 78, 54, 40, 32, 26, 23, - 231, 136, 84, 57, 42, 33, 27, 23, 255, 152, 94, 63, 46, 36, 29, 25, - 255, 170, 104, 70, 50, 39, 31, 26, 255, 191, 116, 78, 55, 42, 34, 28, - 255, 214, 130, 86, 61, 46, 37, 30, 255, 242, 146, 96, 68, 51, 40, 33, - 255, 255, 162, 106, 74, 56, 43, 35, 255, 255, 178, 116, 81, 61, 47, 38, - 255, 255, 195, 127, 88, 66, 51, 41, 255, 255, 212, 138, 96, 71, 55, 44, - 255, 255, 233, 151, 105, 77, 59, 48, 255, 255, 251, 163, 113, 83, 64, 51, - 255, 255, 255, 175, 121, 89, 68, 54, 255, 255, 255, 188, 129, 95, 73, 58, - 255, 255, 255, 202, 139, 102, 78, 62, 255, 255, 255, 215, 148, 109, 83, 66, - 255, 255, 255, 228, 157, 115, 88, 69, 255, 255, 255, 242, 166, 122, 92, 73, - 255, 255, 255, 255, 176, 129, 98, 78, 255, 255, 255, 255, 186, 136, 103, 82, - 255, 255, 255, 255, 195, 143, 108, 86, 255, 255, 255, 255, 205, 150, 114, 90, - 255, 255, 255, 255, 215, 157, 119, 94, 255, 255, 255, 255, 226, 165, 125, 99, - 255, 255, 255, 255, 236, 172, 130, 103, 255, 255, 255, 255, 246, 180, 136, 107, - 255, 255, 255, 255, 255, 187, 141, 111, 255, 255, 255, 255, 255, 196, 148, 116, - 255, 255, 255, 255, 255, 203, 153, 121, 255, 255, 255, 255, 255, 211, 159, 125, - 192, 115, 73, 51, 38, 31, 26, 22, 211, 126, 79, 55, 41, 32, 27, 23, - 231, 137, 86, 59, 43, 34, 28, 24, 255, 154, 96, 65, 47, 37, 30, 25, - 255, 172, 106, 71, 51, 40, 32, 27, 255, 193, 118, 79, 56, 43, 34, 29, - 255, 216, 132, 88, 62, 47, 37, 31, 255, 244, 148, 98, 69, 52, 41, 34, - 255, 255, 164, 108, 76, 57, 44, 36, 255, 255, 181, 118, 83, 62, 48, 39, - 255, 255, 198, 129, 90, 67, 52, 42, 255, 255, 216, 141, 98, 73, 56, 45, - 255, 255, 236, 154, 107, 79, 61, 49, 255, 255, 255, 166, 115, 85, 65, 52, - 255, 255, 255, 178, 123, 91, 70, 56, 255, 255, 255, 191, 132, 97, 74, 59, - 255, 255, 255, 206, 142, 104, 80, 63, 255, 255, 255, 219, 151, 111, 84, 67, - 255, 255, 255, 232, 160, 117, 89, 71, 255, 255, 255, 246, 169, 124, 94, 75, - 255, 255, 255, 255, 180, 132, 100, 79, 255, 255, 255, 255, 189, 139, 105, 83, - 255, 255, 255, 255, 199, 146, 111, 87, 255, 255, 255, 255, 209, 153, 116, 92, - 255, 255, 255, 255, 219, 160, 121, 96, 255, 255, 255, 255, 230, 168, 127, 101, - 255, 255, 255, 255, 240, 176, 133, 105, 255, 255, 255, 255, 251, 183, 139, 109, - 255, 255, 255, 255, 255, 191, 144, 114, 255, 255, 255, 255, 255, 199, 151, 119, - 255, 255, 255, 255, 255, 207, 157, 123, 255, 255, 255, 255, 255, 215, 162, 128 +const uint16_t invariant_table[65536] = { + 0xAA52, 0x483C, 0xE51D, 0xA316, 0x220F, 0x610F, 0xA107, 0xAA52, 0x6B5A, 0x083C, 0xA525, 0x8316, 0x020F, 0x610F, 0xA107, 0xAA52, + 0x2B5A, 0xC943, 0x8525, 0x6316, 0x020F, 0x610F, 0xA107, 0xAA52, 0xEB61, 0x8943, 0x462D, 0x441E, 0xE20E, 0x420F, 0x8107, 0xAA52, + 0xCB69, 0x2A4B, 0xE62C, 0x241E, 0xC316, 0x420F, 0x8107, 0xAA52, 0x8C69, 0xEA52, 0xA734, 0xE51D, 0xA316, 0x220F, 0x810F, 0xAA52, + 0x6C71, 0xAA52, 0x6734, 0xA525, 0x8316, 0x020F, 0x610F, 0xAA52, 0x2C71, 0x6B5A, 0x283C, 0x6525, 0x6416, 0xE20E, 0x610F, 0xAA52, + 0x0C79, 0x2B62, 0xE843, 0x462D, 0x241E, 0xC316, 0x410F, 0xAA52, 0xEC78, 0xEB61, 0xA943, 0x062D, 0x041E, 0xC316, 0x420F, 0xAA52, + 0xCC80, 0xCB69, 0x694B, 0xC72C, 0xE51D, 0xA316, 0x220F, 0xAA52, 0xCC80, 0xAC69, 0x2A4B, 0xA734, 0xA525, 0x8316, 0x220F, 0xAA52, + 0xAC80, 0x6C71, 0xEA52, 0x6834, 0x8525, 0x441E, 0x020F, 0xAA52, 0xAC88, 0x4C71, 0xCA52, 0x283C, 0x6625, 0x241E, 0xE216, 0xAA52, + 0x8C88, 0x4C71, 0x8A5A, 0xE83B, 0x262D, 0x041E, 0xC316, 0xAA52, 0x8C88, 0x2C79, 0x6B5A, 0xC943, 0x062D, 0xE51D, 0xA316, 0xAA52, + 0x6C90, 0x0C79, 0x4B5A, 0x8943, 0xC72C, 0xC525, 0x8316, 0xAA52, 0x6C90, 0xEC78, 0x0B62, 0x694B, 0xA734, 0xA525, 0x6316, 0x8107, + 0x6C90, 0xEC80, 0xEB61, 0x494B, 0x8734, 0x8525, 0x441E, 0x420F, 0x4C90, 0xCC80, 0xCB61, 0x0A4B, 0x483C, 0x4625, 0x241E, 0x220F, + 0x4B98, 0xCC80, 0xAC69, 0xEA52, 0x283C, 0x262D, 0x041E, 0xE20E, 0x4B98, 0xAC80, 0xAC69, 0xCA52, 0x083C, 0x062D, 0xE51D, 0xC316, + 0x4B98, 0xAC88, 0x8C69, 0xAA52, 0xC843, 0xE72C, 0xC525, 0xA316, 0x2B98, 0x8C88, 0x6C71, 0x8B5A, 0xA943, 0xC734, 0xA525, 0x8316, + 0x2B98, 0x8C88, 0x4C71, 0x6B5A, 0x8943, 0x8734, 0x8525, 0x6416, 0x2BA0, 0x8C88, 0x4C71, 0x4B5A, 0x694B, 0x6734, 0x4625, 0x241E, + 0x2BA0, 0x6C88, 0x2C79, 0x2B62, 0x494B, 0x483C, 0x262D, 0x041E, 0x2BA0, 0x6C90, 0x2C79, 0x0B62, 0x2A4B, 0x283C, 0x062D, 0xE41D, + 0x2AA0, 0x6C90, 0x0C79, 0xEB61, 0x0A4B, 0x083C, 0xE62C, 0xC51D, 0x2AA8, 0x6C90, 0x0C79, 0xEB61, 0xEA52, 0xE83B, 0xC734, 0xA525, + 0x0AA8, 0x4C90, 0xEC78, 0xCB69, 0xCA52, 0xC943, 0xA734, 0x8525, 0x0AA8, 0x4C90, 0xEC80, 0xAC69, 0xAA52, 0xA943, 0x8734, 0x6625, + 0x8B5A, 0x283C, 0xC525, 0xA316, 0x020F, 0x610F, 0x8107, 0xAA52, 0x4B5A, 0xE83B, 0x8525, 0x8316, 0x020F, 0x420F, 0x810F, 0xAA52, + 0x2B62, 0xA943, 0x4625, 0x6416, 0xE20E, 0x420F, 0x810F, 0xAA52, 0xEB61, 0x494B, 0x062D, 0x241E, 0xC316, 0x220F, 0x610F, 0xAA52, + 0xAC69, 0x0A4B, 0xC72C, 0x041E, 0xA316, 0x220F, 0x610F, 0xAA52, 0x6C71, 0xCA52, 0x8734, 0xC525, 0x8316, 0x020F, 0x610F, 0xC007, + 0x4C71, 0x8B5A, 0x483C, 0x8525, 0x6416, 0xE20E, 0x420F, 0xC007, 0x2C79, 0x4B5A, 0xE83B, 0x4625, 0x441E, 0xC316, 0x420F, 0xA107, + 0x0C79, 0x0B62, 0xA943, 0x062D, 0x041E, 0xA316, 0x220F, 0xA107, 0xEC80, 0xEB61, 0x6943, 0xE72C, 0xE51D, 0x8316, 0x020F, 0x8107, + 0xCC80, 0xAC69, 0x494B, 0xA734, 0xC525, 0x6316, 0x020F, 0x810F, 0xAC80, 0x8C69, 0x0A4B, 0x6734, 0x8525, 0x441E, 0xE216, 0x610F, + 0xAC88, 0x6C71, 0xCA52, 0x283C, 0x6625, 0x241E, 0xC316, 0x610F, 0x8C88, 0x4C71, 0xAA52, 0x083C, 0x262D, 0x041E, 0xA316, 0x420F, + 0x8C88, 0x2C79, 0x6B5A, 0xC943, 0x062D, 0xE51D, 0x8316, 0x220F, 0x6C88, 0x0C79, 0x4B5A, 0xA943, 0xC72C, 0xC525, 0x6316, 0x220F, + 0x6C90, 0x0C79, 0x2B62, 0x6943, 0xA734, 0x8525, 0x441E, 0x020F, 0x6C90, 0xEC80, 0x0B62, 0x494B, 0x8734, 0x6525, 0x241E, 0xE216, + 0x4C90, 0xCC80, 0xEB61, 0x2A4B, 0x4834, 0x4625, 0x041E, 0xC316, 0x4C90, 0xCC80, 0xCB69, 0xEA52, 0x283C, 0x262D, 0xE41D, 0xA316, + 0x4B98, 0xAC80, 0xAC69, 0xCA52, 0x083C, 0x062D, 0xC51D, 0x8316, 0x4B98, 0xAC88, 0x8C69, 0xAA52, 0xE843, 0xE72C, 0xA525, 0x6316, + 0x4B98, 0xAC88, 0x6C71, 0x8A5A, 0xA943, 0xA734, 0x8525, 0x6416, 0x2B98, 0x8C88, 0x6C71, 0x6B5A, 0x8943, 0x8734, 0x6625, 0x441E, + 0x2B98, 0x8C88, 0x4C71, 0x4B5A, 0x6943, 0x6734, 0x4625, 0x241E, 0x2BA0, 0x8C88, 0x2C71, 0x2B62, 0x494B, 0x483C, 0x262D, 0x041E, + 0x2BA0, 0x6C90, 0x2C79, 0x0B62, 0x2A4B, 0x283C, 0x062D, 0xE51D, 0x2BA0, 0x6C90, 0x0C79, 0x0B62, 0x0A4B, 0x083C, 0xE72C, 0xC525, + 0x2AA0, 0x6C90, 0x0C79, 0xEB61, 0xEA52, 0xE83B, 0xC734, 0xA525, 0x2AA8, 0x6C90, 0xEC78, 0xCB69, 0xCA52, 0xC943, 0xA734, 0x8525, + 0x0AA8, 0x4C90, 0xEC80, 0xAC69, 0xAA52, 0xA943, 0x8734, 0x6625, 0x0AA8, 0x4C90, 0xCC80, 0xAC69, 0x8A5A, 0x8943, 0x6734, 0x462D, + 0x6B5A, 0x083C, 0xA525, 0x8316, 0x020F, 0x420F, 0x610F, 0xA107, 0x2B62, 0xC943, 0x6625, 0x6416, 0xE20E, 0x420F, 0x610F, 0xA107, + 0x0B62, 0x8943, 0x262D, 0x441E, 0xE316, 0x220F, 0x610F, 0xA107, 0xCB69, 0x2A4B, 0xE62C, 0x041E, 0xC316, 0x220F, 0x610F, 0x8107, + 0x8C69, 0xEA52, 0xA734, 0xE51D, 0xA316, 0x020F, 0x410F, 0x8107, 0x6C71, 0xAA52, 0x6734, 0xA525, 0x6316, 0xE20E, 0x420F, 0x810F, + 0x2C71, 0x6B5A, 0x283C, 0x6625, 0x441E, 0xC316, 0x220F, 0x810F, 0x0C79, 0x2B62, 0xC943, 0x262D, 0x241E, 0xA316, 0x220F, 0x610F, + 0xEC78, 0xEB61, 0x8943, 0xE62C, 0xE41D, 0x8316, 0x020F, 0x610F, 0xCC80, 0xCB69, 0x494B, 0xA734, 0xC525, 0x6316, 0xE20E, 0x410F, + 0xCC80, 0x8C69, 0x0A4B, 0x8734, 0x8525, 0x441E, 0xC316, 0x420F, 0xAC80, 0x6C71, 0xEA52, 0x483C, 0x6625, 0x241E, 0xC316, 0x220F, + 0x8C88, 0x4C71, 0xAA52, 0x083C, 0x262D, 0x041E, 0xA316, 0x220F, 0x8C88, 0x2C71, 0x8B5A, 0xE843, 0x062D, 0xE51D, 0x8316, 0x020F, + 0x8C88, 0x2C79, 0x4B5A, 0xA943, 0xE72C, 0xC525, 0x6416, 0xE20E, 0x6C90, 0x0C79, 0x2B62, 0x8943, 0xA734, 0x8525, 0x441E, 0xE316, + 0x6C90, 0xEC78, 0x0B62, 0x494B, 0x8734, 0x6625, 0x241E, 0xC316, 0x6C90, 0xEC80, 0xEB61, 0x2A4B, 0x4834, 0x462D, 0x041E, 0xA316, + 0x4C90, 0xCC80, 0xCB69, 0x0A53, 0x283C, 0x262D, 0xE51D, 0x8316, 0x4B90, 0xCC80, 0xAC69, 0xEA52, 0x083C, 0x062D, 0xC525, 0x6316, + 0x4B98, 0xAC80, 0x8C69, 0xAA52, 0xE843, 0xC72C, 0xA525, 0x6416, 0x4B98, 0xAC88, 0x8C71, 0x8A5A, 0xA943, 0xA734, 0x8525, 0x441E, + 0x2B98, 0x8C88, 0x6C71, 0x6B5A, 0x8943, 0x8734, 0x6625, 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0x2A4B, 0xC843, 0x6834, 0x4C90, 0xAC88, 0x2C79, 0xAC69, 0x6B5A, 0x0A4B, 0xA943, 0x483C, + 0x4C90, 0xAC88, 0x0C79, 0xAC69, 0x4B5A, 0xEA52, 0x8943, 0x283C, 0x4B90, 0x8C88, 0x0C79, 0x8C69, 0x2B62, 0xCA52, 0x6943, 0x083C, + 0x4B98, 0x8C88, 0xEC78, 0x6C71, 0x0B62, 0xAA52, 0x494B, 0xC843, 0x4B98, 0x8C88, 0xEC80, 0x6C71, 0xEB61, 0x8A5A, 0x2A4B, 0xA943, + 0x4B98, 0x6C88, 0xCC80, 0x4C71, 0xEB61, 0x6B5A, 0x0A4B, 0xA943, 0x4B98, 0x6C90, 0xCC80, 0x4C71, 0xCB69, 0x6B5A, 0xEA52, 0x8943, + 0x2B98, 0x6C90, 0xCC80, 0x2C79, 0xAC69, 0x4B5A, 0xEA52, 0x694B, 0x2B98, 0x6C90, 0xAC80, 0x2C79, 0xAC69, 0x2B62, 0xCA52, 0x494B, + 0x2B98, 0x6C90, 0xAC80, 0x0C79, 0x8C69, 0x2B62, 0xAA52, 0x2A4B, 0x2B98, 0x6C90, 0xAC88, 0x0C79, 0x8C69, 0x0B62, 0x8A5A, 0x0A4B, + 0x2BA0, 0x4C90, 0xAC88, 0x0C79, 0x6C71, 0xEB61, 0x8B5A, 0x0A53, 0x2BA0, 0x4C90, 0x8C88, 0xEC78, 0x6C71, 0xEB61, 0x6B5A, 0xEA52, + 0x2BA0, 0x4C90, 0x8C88, 0xEC80, 0x4C71, 0xCB69, 0x4B5A, 0xCA52, 0x2BA0, 0x4B98, 0x8C88, 0xEC80, 0x4C71, 0xCB69, 0x4B5A, 0xCA52, + 0xEB61, 0xEA52, 0xE83B, 0xC72C, 0x6625, 0xE51D, 0x241E, 0x6416, 0xAC69, 0xAA52, 0xC943, 0xA734, 0x4625, 0xC525, 0x241E, 0x441E, + 0x8C69, 0x8B5A, 0x8943, 0x8734, 0x262D, 0xA525, 0x041E, 0x441E, 0x6C71, 0x4B5A, 0x494B, 0x483C, 0x062D, 0x8525, 0xE51D, 0x241E, + 0x4C71, 0x0B62, 0x2A4B, 0x083C, 0xC72C, 0x6625, 0xC525, 0x041E, 0x2C79, 0xEB61, 0xEA52, 0xC943, 0x8734, 0x262D, 0xA525, 0x041E, + 0x0C79, 0xAC69, 0xAA52, 0x8943, 0x6834, 0x062D, 0x8525, 0xE51D, 0xEC80, 0x8C69, 0x6B5A, 0x494B, 0x283C, 0xC734, 0x4625, 0xA525, + 0xCC80, 0x6C71, 0x2B62, 0x0A4B, 0xE83B, 0x8734, 0x262D, 0x8525, 0xAC80, 0x4C71, 0x0B62, 0xEA52, 0xA943, 0x6834, 0xE62C, 0x6625, + 0xAC88, 0x2C79, 0xEB61, 0xAA52, 0x8943, 0x283C, 0xC734, 0x462D, 0x8C88, 0x0C79, 0xAC69, 0x8B5A, 0x494B, 0x083C, 0xA734, 0x062D, + 0x8C88, 0xEC78, 0x8C69, 0x4B5A, 0x0A4B, 0xC943, 0x6734, 0xE72C, 0x6C88, 0xEC80, 0x6C71, 0x2B62, 0xEA52, 0xA943, 0x483C, 0xC734, + 0x6C90, 0xCC80, 0x6C71, 0x0B62, 0xCA52, 0x6943, 0x083C, 0xA734, 0x6C90, 0xCC80, 0x4C71, 0xEB61, 0xAA52, 0x494B, 0xE83B, 0x8734, + 0x6C90, 0xAC80, 0x2C79, 0xCB69, 0x8B5A, 0x2A4B, 0xC943, 0x483C, 0x4C90, 0xAC88, 0x0C79, 0xAC69, 0x6B5A, 0x0A4B, 0xA943, 0x283C, + 0x4C90, 0x8C88, 0x0C79, 0x8C69, 0x4B5A, 0xEA52, 0x8943, 0x083C, 0x4B90, 0x8C88, 0xEC78, 0x8C69, 0x2B62, 0xCA52, 0x694B, 0xE83B, + 0x4B98, 0x8C88, 0xEC78, 0x6C71, 0x0B62, 0xAA52, 0x494B, 0xC943, 0x4B98, 0x8C88, 0xEC80, 0x6C71, 0xEB61, 0x8B5A, 0x2A4B, 0xA943, + 0x4B98, 0x6C88, 0xCC80, 0x4C71, 0xCB61, 0x6B5A, 0x0A4B, 0x8943, 0x4B98, 0x6C90, 0xCC80, 0x2C71, 0xCB69, 0x4B5A, 0xEA52, 0x6943, + 0x2B98, 0x6C90, 0xCC80, 0x2C79, 0xAC69, 0x4B5A, 0xCA52, 0x494B, 0x2B98, 0x6C90, 0xAC80, 0x2C79, 0xAC69, 0x2B62, 0xAA52, 0x494B, + 0x2B98, 0x6C90, 0xAC88, 0x0C79, 0x8C69, 0x0B62, 0xAA52, 0x2A4B, 0x2B98, 0x6C90, 0xAC88, 0x0C79, 0x8C71, 0x0B62, 0x8B5A, 0x0A4B, + 0x2BA0, 0x4C90, 0xAC88, 0xEC78, 0x6C71, 0xEB61, 0x6B5A, 0xEA52, 0x2BA0, 0x4C90, 0x8C88, 0xEC78, 0x6C71, 0xCB61, 0x6B5A, 0xEA52, + 0x2BA0, 0x4B90, 0x8C88, 0xEC80, 0x4C71, 0xCB69, 0x4B5A, 0xCA52, 0x2BA0, 0x4B98, 0x8C88, 0xEC80, 0x4C71, 0xAC69, 0x2B5A, 0xAA52, + 0xEB61, 0xEA52, 0xE83B, 0xC734, 0x6625, 0xC51D, 0x241E, 0x6416, 0xAC69, 0xAA52, 0xC943, 0xA734, 0x462D, 0xC525, 0x041E, 0x441E, + 0x8C69, 0x8B5A, 0x8943, 0x6734, 0x262D, 0xA525, 0x041E, 0x441E, 0x6C71, 0x4B5A, 0x494B, 0x283C, 0xE62C, 0x8525, 0xE51D, 0x241E, + 0x4C71, 0x0B62, 0x0A4B, 0x083C, 0xC734, 0x4625, 0xC525, 0x041E, 0x2C79, 0xEB61, 0xCA52, 0xC943, 0x8734, 0x262D, 0xA525, 0xE41D, + 0x0C79, 0xAC69, 0x8A5A, 0x8943, 0x483C, 0xE62C, 0x6525, 0xC51D, 0xEC80, 0x8C71, 0x4B5A, 0x494B, 0x083C, 0xC734, 0x462D, 0xA525, + 0xCC80, 0x6C71, 0x2B62, 0x0A4B, 0xE843, 0x8734, 0x062D, 0x8525, 0xAC80, 0x4C71, 0x0B62, 0xCA52, 0xA943, 0x483C, 0xE72C, 0x6625, + 0xAC88, 0x2C79, 0xCB69, 0xAA52, 0x6943, 0x283C, 0xC734, 0x262D, 0x8C88, 0x0C79, 0xAC69, 0x6B5A, 0x494B, 0xE83B, 0x8734, 0x062D, + 0x8C88, 0xEC78, 0x8C69, 0x4B5A, 0x0A4B, 0xC943, 0x6834, 0xE72C, 0x6C88, 0xEC80, 0x6C71, 0x2B62, 0xEA52, 0x8943, 0x283C, 0xA734, + 0x6C90, 0xCC80, 0x4C71, 0x0B62, 0xCA52, 0x694B, 0x083C, 0x8734, 0x6C90, 0xCC80, 0x4C71, 0xEB61, 0x8A5A, 0x494B, 0xE83B, 0x6734, + 0x6C90, 0xAC80, 0x2C79, 0xCB69, 0x6B5A, 0x2A4B, 0xC943, 0x483C, 0x4C90, 0xAC88, 0x0C79, 0xAC69, 0x4B5A, 0xEA52, 0x8943, 0x283C, + 0x4C90, 0x8C88, 0x0C79, 0x8C69, 0x2B5A, 0xCA52, 0x6943, 0x083C, 0x4B90, 0x8C88, 0xEC78, 0x8C71, 0x2B62, 0xAA52, 0x494B, 0xE83B, + 0x4B98, 0x8C88, 0xEC80, 0x6C71, 0x0B62, 0x8A5A, 0x2A4B, 0xC943, 0x4B98, 0x8C88, 0xCC80, 0x4C71, 0xEB61, 0x8B5A, 0x0A4B, 0xA943, + 0x4B98, 0x6C88, 0xCC80, 0x4C71, 0xCB69, 0x6B5A, 0xEA52, 0x8943, 0x4B98, 0x6C90, 0xCC80, 0x2C71, 0xCC69, 0x4B5A, 0xEA52, 0x694B, + 0x2B98, 0x6C90, 0xAC80, 0x2C79, 0xAC69, 0x2B62, 0xCA52, 0x494B, 0x2B98, 0x6C90, 0xAC80, 0x0C79, 0x8C69, 0x2B62, 0xAA52, 0x2A4B, + 0x2B98, 0x6C90, 0xAC88, 0x0C79, 0x8C69, 0x0B62, 0x8A5A, 0x0A4B, 0x2B98, 0x4C90, 0xAC88, 0x0C79, 0x6C71, 0xEB61, 0x8B5A, 0x0A53, + 0x2BA0, 0x4C90, 0x8C88, 0xEC78, 0x6C71, 0xEB61, 0x6B5A, 0xEA52, 0x2BA0, 0x4C90, 0x8C88, 0xEC80, 0x4C71, 0xCB69, 0x4B5A, 0xCA52, + 0x2BA0, 0x4B90, 0x8C88, 0xEC80, 0x4C71, 0xCB69, 0x4B5A, 0xCA52, 0x2BA0, 0x4B98, 0x8C88, 0xCC80, 0x4C71, 0xAC69, 0x2B62, 0xAA52 }; diff --git a/util/gen_invariant.py b/util/gen_invariant.py index e24ae00bb..c824be3a4 100644 --- a/util/gen_invariant.py +++ b/util/gen_invariant.py @@ -8,50 +8,136 @@ def lin(c): import sys, math sys.stdout.write("#include \n") -sys.stdout.write("const uint8_t invariant_table[65536] = {\n") # 65536 * 1 -for i in range(65536): +if False: # 1D illumination invariant image - r = ((((i >> 3) & 31) * 255) + 15.5) // 31 - g = (((((i & 7) << 3) | (i >> 13)) * 255) + 31.5) // 63 - b = ((((i >> 8) & 31) * 255) + 15.5) // 31 + sys.stdout.write("const uint8_t invariant_table[65536] = {\n") # 65536 * 1 + for i in range(65536): - # http://ai.stanford.edu/~alireza/publication/cic15.pdf + r = ((((i >> 3) & 31) * 255) + 15.5) // 31 + g = (((((i & 7) << 3) | (i >> 13)) * 255) + 31.5) // 63 + b = ((((i >> 8) & 31) * 255) + 15.5) // 31 - r_lin = lin(r / 255.0) + 1.0 - g_lin = lin(g / 255.0) + 1.0 - b_lin = lin(b / 255.0) + 1.0 + # http://ai.stanford.edu/~alireza/publication/cic15.pdf - r_lin_sharp = (r_lin * 0.9968) + (g_lin * 0.0228) + (b_lin * 0.0015); - g_lin_sharp = (r_lin * -0.0071) + (g_lin * 0.9933) + (b_lin * 0.0146); - b_lin_sharp = (r_lin * 0.0103) + (g_lin * -0.0161) + (b_lin * 0.9839); + r_lin = lin(r / 255.0) + 1.0 + g_lin = lin(g / 255.0) + 1.0 + b_lin = lin(b / 255.0) + 1.0 - lin_sharp_avg = r_lin_sharp * g_lin_sharp * b_lin_sharp - lin_sharp_avg_p = math.pow(lin_sharp_avg, 1.0/3.0) if (lin_sharp_avg > 0.0) else 0.0 + r_lin_sharp = (r_lin * 0.9968) + (g_lin * 0.0228) + (b_lin * 0.0015); + g_lin_sharp = (r_lin * -0.0071) + (g_lin * 0.9933) + (b_lin * 0.0146); + b_lin_sharp = (r_lin * 0.0103) + (g_lin * -0.0161) + (b_lin * 0.9839); - r_lin_sharp_div = 0.0 - g_lin_sharp_div = 0.0 - b_lin_sharp_div = 0.0 + lin_sharp_avg = r_lin_sharp * g_lin_sharp * b_lin_sharp + lin_sharp_avg_p = math.pow(lin_sharp_avg, 1.0/3.0) if (lin_sharp_avg > 0.0) else 0.0 - if lin_sharp_avg_p > 0.0: - lin_sharp_avg_d = 1.0 / lin_sharp_avg_p - r_lin_sharp_div = r_lin_sharp * lin_sharp_avg_d - g_lin_sharp_div = g_lin_sharp * lin_sharp_avg_d - b_lin_sharp_div = b_lin_sharp * lin_sharp_avg_d + r_lin_sharp_div = 0.0 + g_lin_sharp_div = 0.0 + b_lin_sharp_div = 0.0 - r_lin_sharp_div_log = math.log(r_lin_sharp_div) if (r_lin_sharp_div > 0.0) else 0.0 - g_lin_sharp_div_log = math.log(g_lin_sharp_div) if (g_lin_sharp_div > 0.0) else 0.0 - b_lin_sharp_div_log = math.log(b_lin_sharp_div) if (b_lin_sharp_div > 0.0) else 0.0 + if lin_sharp_avg_p > 0.0: + lin_sharp_avg_d = 1.0 / lin_sharp_avg_p + r_lin_sharp_div = r_lin_sharp * lin_sharp_avg_d + g_lin_sharp_div = g_lin_sharp * lin_sharp_avg_d + b_lin_sharp_div = b_lin_sharp * lin_sharp_avg_d - chi_x = (r_lin_sharp_div_log * 0.7071) + (g_lin_sharp_div_log * -0.7071) + (b_lin_sharp_div_log * 0.0000) - chi_y = (r_lin_sharp_div_log * 0.4082) + (g_lin_sharp_div_log * 0.4082) + (b_lin_sharp_div_log * -0.8164) - chi_int = max(min(int(round(math.exp((chi_x * 0.9326) + (chi_y * -0.3609)) * 127.5)), 255), 0) + r_lin_sharp_div_log = math.log(r_lin_sharp_div) if (r_lin_sharp_div > 0.0) else 0.0 + g_lin_sharp_div_log = math.log(g_lin_sharp_div) if (g_lin_sharp_div > 0.0) else 0.0 + b_lin_sharp_div_log = math.log(b_lin_sharp_div) if (b_lin_sharp_div > 0.0) else 0.0 - if not (i % 16): - sys.stdout.write(" ") - sys.stdout.write("%3d" % chi_int) - if (i + 1) % 16: - sys.stdout.write(", ") - elif i != 65535: - sys.stdout.write(",\n") - else: - sys.stdout.write("\n};\n") + chi_x = (r_lin_sharp_div_log * 0.7071) + (g_lin_sharp_div_log * -0.7071) + (b_lin_sharp_div_log * 0.0000) + chi_y = (r_lin_sharp_div_log * 0.4082) + (g_lin_sharp_div_log * 0.4082) + (b_lin_sharp_div_log * -0.8164) + chi_int = max(min(int(round(math.exp((chi_x * 0.9326) + (chi_y * -0.3609)) * 127.5)), 255), 0) + + if not (i % 16): + sys.stdout.write(" ") + sys.stdout.write("%3d" % chi_int) + if (i + 1) % 16: + sys.stdout.write(", ") + elif i != 65535: + sys.stdout.write(",\n") + else: + sys.stdout.write("\n};\n") + +if True: # 2D illumination invariant image + + sys.stdout.write("const uint16_t invariant_table[65536] = {\n") # 65536 * 2 + for i in range(65536): + + r = ((((i >> 3) & 31) * 255) + 15.5) // 31 + g = (((((i & 7) << 3) | (i >> 13)) * 255) + 31.5) // 63 + b = ((((i >> 8) & 31) * 255) + 15.5) // 31 + + # http://ai.stanford.edu/~alireza/publication/cic15.pdf + + r_lin = lin(r / 255.0) + 1.0 + g_lin = lin(g / 255.0) + 1.0 + b_lin = lin(b / 255.0) + 1.0 + + r_lin_sharp = (r_lin * 0.9968) + (g_lin * 0.0228) + (b_lin * 0.0015); + g_lin_sharp = (r_lin * -0.0071) + (g_lin * 0.9933) + (b_lin * 0.0146); + b_lin_sharp = (r_lin * 0.0103) + (g_lin * -0.0161) + (b_lin * 0.9839); + + lin_sharp_avg = r_lin_sharp * g_lin_sharp * b_lin_sharp + lin_sharp_avg_p = math.pow(lin_sharp_avg, 1.0/3.0) if (lin_sharp_avg > 0.0) else 0.0 + + r_lin_sharp_div = 0.0 + g_lin_sharp_div = 0.0 + b_lin_sharp_div = 0.0 + + if lin_sharp_avg_p > 0.0: + lin_sharp_avg_d = 1.0 / lin_sharp_avg_p + r_lin_sharp_div = r_lin_sharp * lin_sharp_avg_d + g_lin_sharp_div = g_lin_sharp * lin_sharp_avg_d + b_lin_sharp_div = b_lin_sharp * lin_sharp_avg_d + + r_lin_sharp_div_log = math.log(r_lin_sharp_div) if (r_lin_sharp_div > 0.0) else 0.0 + g_lin_sharp_div_log = math.log(g_lin_sharp_div) if (g_lin_sharp_div > 0.0) else 0.0 + b_lin_sharp_div_log = math.log(b_lin_sharp_div) if (b_lin_sharp_div > 0.0) else 0.0 + + chi_x = (r_lin_sharp_div_log * 0.7071) + (g_lin_sharp_div_log * -0.7071) + (b_lin_sharp_div_log * 0.0000) + chi_y = (r_lin_sharp_div_log * 0.4082) + (g_lin_sharp_div_log * 0.4082) + (b_lin_sharp_div_log * -0.8164) + + e_t_x = 0.9326 + e_t_y = -0.3609 + + p_th_00 = e_t_x * e_t_x + p_th_01 = e_t_x * e_t_y + p_th_10 = e_t_y * e_t_x + p_th_11 = e_t_y * e_t_y + + x_th_x = (p_th_00 * chi_x) + (p_th_01 * chi_y) + x_th_y = (p_th_10 * chi_x) + (p_th_11 * chi_y) + + r_chi = (x_th_x * 0.7071) + (x_th_y * 0.4082) + g_chi = (x_th_x * -0.7071) + (x_th_y * 0.4082) + b_chi = (x_th_x * 0.0000) + (x_th_y * -0.8164) + + r_chi_invariant = math.exp(r_chi) + g_chi_invariant = math.exp(g_chi) + b_chi_invariant = math.exp(b_chi) + + chi_invariant_sum = r_chi_invariant + g_chi_invariant + b_chi_invariant + + r_chi_invariant_m = 0.0 + g_chi_invariant_m = 0.0 + b_chi_invariant_m = 0.0 + + if chi_invariant_sum > 0.0: + chi_invariant_sum = 1.0 / chi_invariant_sum + r_chi_invariant_m = r_chi_invariant * chi_invariant_sum + g_chi_invariant_m = g_chi_invariant * chi_invariant_sum + b_chi_invariant_m = b_chi_invariant * chi_invariant_sum + + rgb565 = (int((((r_chi_invariant_m*255)*31)+127.5)/255)&0x1F)<<11 | \ + (int((((g_chi_invariant_m*255)*63)+127.5)/255)&0x3F)<<5 | \ + (int((((b_chi_invariant_m*255)*31)+127.5)/255)&0x1F) + + if not (i % 16): + sys.stdout.write(" ") + sys.stdout.write("0x%04X" % (((rgb565&0x00ff)<<8)|((rgb565&0xff00)>>8))) + if (i + 1) % 16: + sys.stdout.write(", ") + elif i != 65535: + sys.stdout.write(",\n") + else: + sys.stdout.write("\n};\n")