// ---------------------------------------------------------------------------- // This confidential and proprietary software may be used only as authorised // by a licensing agreement from Arm Limited. // (C) COPYRIGHT 2011-2019 Arm Limited, ALL RIGHTS RESERVED // The entire notice above must be reproduced on all authorised copies and // copies may only be made to the extent permitted by a licensing agreement // from Arm Limited. // ---------------------------------------------------------------------------- /** * @brief Functions for encoding/decoding Bounded Integer Sequence Encoding. */ #include "astc_codec_internals.h" // unpacked quint triplets for each packed-quint value static const uint8_t quints_of_integer[128][3] = { {0, 0, 0}, {1, 0, 0}, {2, 0, 0}, {3, 0, 0}, {4, 0, 0}, {0, 4, 0}, {4, 4, 0}, {4, 4, 4}, {0, 1, 0}, {1, 1, 0}, {2, 1, 0}, {3, 1, 0}, {4, 1, 0}, {1, 4, 0}, {4, 4, 1}, {4, 4, 4}, {0, 2, 0}, {1, 2, 0}, {2, 2, 0}, {3, 2, 0}, {4, 2, 0}, {2, 4, 0}, {4, 4, 2}, {4, 4, 4}, {0, 3, 0}, {1, 3, 0}, {2, 3, 0}, {3, 3, 0}, {4, 3, 0}, {3, 4, 0}, {4, 4, 3}, {4, 4, 4}, {0, 0, 1}, {1, 0, 1}, {2, 0, 1}, {3, 0, 1}, {4, 0, 1}, {0, 4, 1}, {4, 0, 4}, {0, 4, 4}, {0, 1, 1}, {1, 1, 1}, {2, 1, 1}, {3, 1, 1}, {4, 1, 1}, {1, 4, 1}, {4, 1, 4}, {1, 4, 4}, {0, 2, 1}, {1, 2, 1}, {2, 2, 1}, {3, 2, 1}, {4, 2, 1}, {2, 4, 1}, {4, 2, 4}, {2, 4, 4}, {0, 3, 1}, {1, 3, 1}, {2, 3, 1}, {3, 3, 1}, {4, 3, 1}, {3, 4, 1}, {4, 3, 4}, {3, 4, 4}, {0, 0, 2}, {1, 0, 2}, {2, 0, 2}, {3, 0, 2}, {4, 0, 2}, {0, 4, 2}, {2, 0, 4}, {3, 0, 4}, {0, 1, 2}, {1, 1, 2}, {2, 1, 2}, {3, 1, 2}, {4, 1, 2}, {1, 4, 2}, {2, 1, 4}, {3, 1, 4}, {0, 2, 2}, {1, 2, 2}, {2, 2, 2}, {3, 2, 2}, {4, 2, 2}, {2, 4, 2}, {2, 2, 4}, {3, 2, 4}, {0, 3, 2}, {1, 3, 2}, {2, 3, 2}, {3, 3, 2}, {4, 3, 2}, {3, 4, 2}, {2, 3, 4}, {3, 3, 4}, {0, 0, 3}, {1, 0, 3}, {2, 0, 3}, {3, 0, 3}, {4, 0, 3}, {0, 4, 3}, {0, 0, 4}, {1, 0, 4}, {0, 1, 3}, {1, 1, 3}, {2, 1, 3}, {3, 1, 3}, {4, 1, 3}, {1, 4, 3}, {0, 1, 4}, {1, 1, 4}, {0, 2, 3}, {1, 2, 3}, {2, 2, 3}, {3, 2, 3}, {4, 2, 3}, {2, 4, 3}, {0, 2, 4}, {1, 2, 4}, {0, 3, 3}, {1, 3, 3}, {2, 3, 3}, {3, 3, 3}, {4, 3, 3}, {3, 4, 3}, {0, 3, 4}, {1, 3, 4} }; // packed quint-value for every unpacked quint-triplet // indexed by [high][middle][low] static const uint8_t integer_of_quints[5][5][5] = { { {0, 1, 2, 3, 4}, {8, 9, 10, 11, 12}, {16, 17, 18, 19, 20}, {24, 25, 26, 27, 28}, {5, 13, 21, 29, 6} }, { {32, 33, 34, 35, 36}, {40, 41, 42, 43, 44}, {48, 49, 50, 51, 52}, {56, 57, 58, 59, 60}, {37, 45, 53, 61, 14} }, { {64, 65, 66, 67, 68}, {72, 73, 74, 75, 76}, {80, 81, 82, 83, 84}, {88, 89, 90, 91, 92}, {69, 77, 85, 93, 22} }, { {96, 97, 98, 99, 100}, {104, 105, 106, 107, 108}, {112, 113, 114, 115, 116}, {120, 121, 122, 123, 124}, {101, 109, 117, 125, 30} }, { {102, 103, 70, 71, 38}, {110, 111, 78, 79, 46}, {118, 119, 86, 87, 54}, {126, 127, 94, 95, 62}, {39, 47, 55, 63, 31} } }; // unpacked trit quintuplets for each packed-quint value static const uint8_t trits_of_integer[256][5] = { {0, 0, 0, 0, 0}, {1, 0, 0, 0, 0}, {2, 0, 0, 0, 0}, {0, 0, 2, 0, 0}, {0, 1, 0, 0, 0}, {1, 1, 0, 0, 0}, {2, 1, 0, 0, 0}, {1, 0, 2, 0, 0}, {0, 2, 0, 0, 0}, {1, 2, 0, 0, 0}, {2, 2, 0, 0, 0}, {2, 0, 2, 0, 0}, {0, 2, 2, 0, 0}, {1, 2, 2, 0, 0}, {2, 2, 2, 0, 0}, {2, 0, 2, 0, 0}, {0, 0, 1, 0, 0}, {1, 0, 1, 0, 0}, {2, 0, 1, 0, 0}, {0, 1, 2, 0, 0}, {0, 1, 1, 0, 0}, {1, 1, 1, 0, 0}, {2, 1, 1, 0, 0}, {1, 1, 2, 0, 0}, {0, 2, 1, 0, 0}, {1, 2, 1, 0, 0}, {2, 2, 1, 0, 0}, {2, 1, 2, 0, 0}, {0, 0, 0, 2, 2}, {1, 0, 0, 2, 2}, {2, 0, 0, 2, 2}, {0, 0, 2, 2, 2}, {0, 0, 0, 1, 0}, {1, 0, 0, 1, 0}, {2, 0, 0, 1, 0}, {0, 0, 2, 1, 0}, {0, 1, 0, 1, 0}, {1, 1, 0, 1, 0}, {2, 1, 0, 1, 0}, {1, 0, 2, 1, 0}, {0, 2, 0, 1, 0}, {1, 2, 0, 1, 0}, {2, 2, 0, 1, 0}, {2, 0, 2, 1, 0}, {0, 2, 2, 1, 0}, {1, 2, 2, 1, 0}, {2, 2, 2, 1, 0}, {2, 0, 2, 1, 0}, {0, 0, 1, 1, 0}, {1, 0, 1, 1, 0}, {2, 0, 1, 1, 0}, {0, 1, 2, 1, 0}, {0, 1, 1, 1, 0}, {1, 1, 1, 1, 0}, {2, 1, 1, 1, 0}, {1, 1, 2, 1, 0}, {0, 2, 1, 1, 0}, {1, 2, 1, 1, 0}, {2, 2, 1, 1, 0}, {2, 1, 2, 1, 0}, {0, 1, 0, 2, 2}, {1, 1, 0, 2, 2}, {2, 1, 0, 2, 2}, {1, 0, 2, 2, 2}, {0, 0, 0, 2, 0}, {1, 0, 0, 2, 0}, {2, 0, 0, 2, 0}, {0, 0, 2, 2, 0}, {0, 1, 0, 2, 0}, {1, 1, 0, 2, 0}, {2, 1, 0, 2, 0}, {1, 0, 2, 2, 0}, {0, 2, 0, 2, 0}, {1, 2, 0, 2, 0}, {2, 2, 0, 2, 0}, {2, 0, 2, 2, 0}, {0, 2, 2, 2, 0}, {1, 2, 2, 2, 0}, {2, 2, 2, 2, 0}, {2, 0, 2, 2, 0}, {0, 0, 1, 2, 0}, {1, 0, 1, 2, 0}, {2, 0, 1, 2, 0}, {0, 1, 2, 2, 0}, {0, 1, 1, 2, 0}, {1, 1, 1, 2, 0}, {2, 1, 1, 2, 0}, {1, 1, 2, 2, 0}, {0, 2, 1, 2, 0}, {1, 2, 1, 2, 0}, {2, 2, 1, 2, 0}, {2, 1, 2, 2, 0}, {0, 2, 0, 2, 2}, {1, 2, 0, 2, 2}, {2, 2, 0, 2, 2}, {2, 0, 2, 2, 2}, {0, 0, 0, 0, 2}, {1, 0, 0, 0, 2}, {2, 0, 0, 0, 2}, {0, 0, 2, 0, 2}, {0, 1, 0, 0, 2}, {1, 1, 0, 0, 2}, {2, 1, 0, 0, 2}, {1, 0, 2, 0, 2}, {0, 2, 0, 0, 2}, {1, 2, 0, 0, 2}, {2, 2, 0, 0, 2}, {2, 0, 2, 0, 2}, {0, 2, 2, 0, 2}, {1, 2, 2, 0, 2}, {2, 2, 2, 0, 2}, {2, 0, 2, 0, 2}, {0, 0, 1, 0, 2}, {1, 0, 1, 0, 2}, {2, 0, 1, 0, 2}, {0, 1, 2, 0, 2}, {0, 1, 1, 0, 2}, {1, 1, 1, 0, 2}, {2, 1, 1, 0, 2}, {1, 1, 2, 0, 2}, {0, 2, 1, 0, 2}, {1, 2, 1, 0, 2}, {2, 2, 1, 0, 2}, {2, 1, 2, 0, 2}, {0, 2, 2, 2, 2}, {1, 2, 2, 2, 2}, {2, 2, 2, 2, 2}, {2, 0, 2, 2, 2}, {0, 0, 0, 0, 1}, {1, 0, 0, 0, 1}, {2, 0, 0, 0, 1}, {0, 0, 2, 0, 1}, {0, 1, 0, 0, 1}, {1, 1, 0, 0, 1}, {2, 1, 0, 0, 1}, {1, 0, 2, 0, 1}, {0, 2, 0, 0, 1}, {1, 2, 0, 0, 1}, {2, 2, 0, 0, 1}, {2, 0, 2, 0, 1}, {0, 2, 2, 0, 1}, {1, 2, 2, 0, 1}, {2, 2, 2, 0, 1}, {2, 0, 2, 0, 1}, {0, 0, 1, 0, 1}, {1, 0, 1, 0, 1}, {2, 0, 1, 0, 1}, {0, 1, 2, 0, 1}, {0, 1, 1, 0, 1}, {1, 1, 1, 0, 1}, {2, 1, 1, 0, 1}, {1, 1, 2, 0, 1}, {0, 2, 1, 0, 1}, {1, 2, 1, 0, 1}, {2, 2, 1, 0, 1}, {2, 1, 2, 0, 1}, {0, 0, 1, 2, 2}, {1, 0, 1, 2, 2}, {2, 0, 1, 2, 2}, {0, 1, 2, 2, 2}, {0, 0, 0, 1, 1}, {1, 0, 0, 1, 1}, {2, 0, 0, 1, 1}, {0, 0, 2, 1, 1}, {0, 1, 0, 1, 1}, {1, 1, 0, 1, 1}, {2, 1, 0, 1, 1}, {1, 0, 2, 1, 1}, {0, 2, 0, 1, 1}, {1, 2, 0, 1, 1}, {2, 2, 0, 1, 1}, {2, 0, 2, 1, 1}, {0, 2, 2, 1, 1}, {1, 2, 2, 1, 1}, {2, 2, 2, 1, 1}, {2, 0, 2, 1, 1}, {0, 0, 1, 1, 1}, {1, 0, 1, 1, 1}, {2, 0, 1, 1, 1}, {0, 1, 2, 1, 1}, {0, 1, 1, 1, 1}, {1, 1, 1, 1, 1}, {2, 1, 1, 1, 1}, {1, 1, 2, 1, 1}, {0, 2, 1, 1, 1}, {1, 2, 1, 1, 1}, {2, 2, 1, 1, 1}, {2, 1, 2, 1, 1}, {0, 1, 1, 2, 2}, {1, 1, 1, 2, 2}, {2, 1, 1, 2, 2}, {1, 1, 2, 2, 2}, {0, 0, 0, 2, 1}, {1, 0, 0, 2, 1}, {2, 0, 0, 2, 1}, {0, 0, 2, 2, 1}, {0, 1, 0, 2, 1}, {1, 1, 0, 2, 1}, {2, 1, 0, 2, 1}, {1, 0, 2, 2, 1}, {0, 2, 0, 2, 1}, {1, 2, 0, 2, 1}, {2, 2, 0, 2, 1}, {2, 0, 2, 2, 1}, {0, 2, 2, 2, 1}, {1, 2, 2, 2, 1}, {2, 2, 2, 2, 1}, {2, 0, 2, 2, 1}, {0, 0, 1, 2, 1}, {1, 0, 1, 2, 1}, {2, 0, 1, 2, 1}, {0, 1, 2, 2, 1}, {0, 1, 1, 2, 1}, {1, 1, 1, 2, 1}, {2, 1, 1, 2, 1}, {1, 1, 2, 2, 1}, {0, 2, 1, 2, 1}, {1, 2, 1, 2, 1}, {2, 2, 1, 2, 1}, {2, 1, 2, 2, 1}, {0, 2, 1, 2, 2}, {1, 2, 1, 2, 2}, {2, 2, 1, 2, 2}, {2, 1, 2, 2, 2}, {0, 0, 0, 1, 2}, {1, 0, 0, 1, 2}, {2, 0, 0, 1, 2}, {0, 0, 2, 1, 2}, {0, 1, 0, 1, 2}, {1, 1, 0, 1, 2}, {2, 1, 0, 1, 2}, {1, 0, 2, 1, 2}, {0, 2, 0, 1, 2}, {1, 2, 0, 1, 2}, {2, 2, 0, 1, 2}, {2, 0, 2, 1, 2}, {0, 2, 2, 1, 2}, {1, 2, 2, 1, 2}, {2, 2, 2, 1, 2}, {2, 0, 2, 1, 2}, {0, 0, 1, 1, 2}, {1, 0, 1, 1, 2}, {2, 0, 1, 1, 2}, {0, 1, 2, 1, 2}, {0, 1, 1, 1, 2}, {1, 1, 1, 1, 2}, {2, 1, 1, 1, 2}, {1, 1, 2, 1, 2}, {0, 2, 1, 1, 2}, {1, 2, 1, 1, 2}, {2, 2, 1, 1, 2}, {2, 1, 2, 1, 2}, {0, 2, 2, 2, 2}, {1, 2, 2, 2, 2}, {2, 2, 2, 2, 2}, {2, 1, 2, 2, 2} }; // packed trit-value for every unpacked trit-quintuplet // indexed by [high][][][][low] static const uint8_t integer_of_trits[3][3][3][3][3] = { { { { {0, 1, 2}, {4, 5, 6}, {8, 9, 10} }, { {16, 17, 18}, {20, 21, 22}, {24, 25, 26} }, { {3, 7, 15}, {19, 23, 27}, {12, 13, 14} } }, { { {32, 33, 34}, {36, 37, 38}, {40, 41, 42} }, { {48, 49, 50}, {52, 53, 54}, {56, 57, 58} }, { {35, 39, 47}, {51, 55, 59}, {44, 45, 46} } }, { { {64, 65, 66}, {68, 69, 70}, {72, 73, 74} }, { {80, 81, 82}, {84, 85, 86}, {88, 89, 90} }, { {67, 71, 79}, {83, 87, 91}, {76, 77, 78} } } }, { { { {128, 129, 130}, {132, 133, 134}, {136, 137, 138} }, { {144, 145, 146}, {148, 149, 150}, {152, 153, 154} }, { {131, 135, 143}, {147, 151, 155}, {140, 141, 142} } }, { { {160, 161, 162}, {164, 165, 166}, {168, 169, 170} }, { {176, 177, 178}, {180, 181, 182}, {184, 185, 186} }, { {163, 167, 175}, {179, 183, 187}, {172, 173, 174} } }, { { {192, 193, 194}, {196, 197, 198}, {200, 201, 202} }, { {208, 209, 210}, {212, 213, 214}, {216, 217, 218} }, { {195, 199, 207}, {211, 215, 219}, {204, 205, 206} } } }, { { { {96, 97, 98}, {100, 101, 102}, {104, 105, 106} }, { {112, 113, 114}, {116, 117, 118}, {120, 121, 122} }, { {99, 103, 111}, {115, 119, 123}, {108, 109, 110} } }, { { {224, 225, 226}, {228, 229, 230}, {232, 233, 234} }, { {240, 241, 242}, {244, 245, 246}, {248, 249, 250} }, { {227, 231, 239}, {243, 247, 251}, {236, 237, 238} } }, { { {28, 29, 30}, {60, 61, 62}, {92, 93, 94} }, { {156, 157, 158}, {188, 189, 190}, {220, 221, 222} }, { {31, 63, 127}, {159, 191, 255}, {252, 253, 254} } } } }; void find_number_of_bits_trits_quints(int quantization_level, int *bits, int *trits, int *quints) { *bits = 0; *trits = 0; *quints = 0; switch (quantization_level) { case QUANT_2: *bits = 1; break; case QUANT_3: *bits = 0; *trits = 1; break; case QUANT_4: *bits = 2; break; case QUANT_5: *bits = 0; *quints = 1; break; case QUANT_6: *bits = 1; *trits = 1; break; case QUANT_8: *bits = 3; break; case QUANT_10: *bits = 1; *quints = 1; break; case QUANT_12: *bits = 2; *trits = 1; break; case QUANT_16: *bits = 4; break; case QUANT_20: *bits = 2; *quints = 1; break; case QUANT_24: *bits = 3; *trits = 1; break; case QUANT_32: *bits = 5; break; case QUANT_40: *bits = 3; *quints = 1; break; case QUANT_48: *bits = 4; *trits = 1; break; case QUANT_64: *bits = 6; break; case QUANT_80: *bits = 4; *quints = 1; break; case QUANT_96: *bits = 5; *trits = 1; break; case QUANT_128: *bits = 7; break; case QUANT_160: *bits = 5; *quints = 1; break; case QUANT_192: *bits = 6; *trits = 1; break; case QUANT_256: *bits = 8; break; } } // routine to write up to 8 bits static inline void write_bits(int value, int bitcount, int bitoffset, uint8_t * ptr) { int mask = (1 << bitcount) - 1; value &= mask; ptr += bitoffset >> 3; bitoffset &= 7; value <<= bitoffset; mask <<= bitoffset; mask = ~mask; ptr[0] &= mask; ptr[0] |= value; ptr[1] &= mask >> 8; ptr[1] |= value >> 8; } // routine to read up to 8 bits static inline int read_bits(int bitcount, int bitoffset, const uint8_t * ptr) { int mask = (1 << bitcount) - 1; ptr += bitoffset >> 3; bitoffset &= 7; int value = ptr[0] | (ptr[1] << 8); value >>= bitoffset; value &= mask; return value; } void encode_ise(int quantization_level, int elements, const uint8_t * input_data, uint8_t * output_data, int bit_offset) { int i; uint8_t lowparts[64]; uint8_t highparts[69]; // 64 elements + 5 elements for padding uint8_t tq_blocks[22]; // trit-blocks or quint-blocks int bits, trits, quints; find_number_of_bits_trits_quints(quantization_level, &bits, &trits, &quints); for (i = 0; i < elements; i++) { lowparts[i] = input_data[i] & ((1 << bits) - 1); highparts[i] = input_data[i] >> bits; } for (i = elements; i < elements + 5; i++) highparts[i] = 0; // padding before we start constructing trit-blocks or quint-blocks // construct trit-blocks or quint-blocks as necessary if (trits) { int trit_blocks = (elements + 4) / 5; for (i = 0; i < trit_blocks; i++) tq_blocks[i] = integer_of_trits[highparts[5 * i + 4]][highparts[5 * i + 3]][highparts[5 * i + 2]][highparts[5 * i + 1]][highparts[5 * i]]; } if (quints) { int quint_blocks = (elements + 2) / 3; for (i = 0; i < quint_blocks; i++) tq_blocks[i] = integer_of_quints[highparts[3 * i + 2]][highparts[3 * i + 1]][highparts[3 * i]]; } // then, write out the actual bits. int lcounter = 0; int hcounter = 0; for (i = 0; i < elements; i++) { write_bits(lowparts[i], bits, bit_offset, output_data); bit_offset += bits; if (trits) { static const int bits_to_write[5] = { 2, 2, 1, 2, 1 }; static const int block_shift[5] = { 0, 2, 4, 5, 7 }; static const int next_lcounter[5] = { 1, 2, 3, 4, 0 }; static const int hcounter_incr[5] = { 0, 0, 0, 0, 1 }; write_bits(tq_blocks[hcounter] >> block_shift[lcounter], bits_to_write[lcounter], bit_offset, output_data); bit_offset += bits_to_write[lcounter]; hcounter += hcounter_incr[lcounter]; lcounter = next_lcounter[lcounter]; } if (quints) { static const int bits_to_write[3] = { 3, 2, 2 }; static const int block_shift[3] = { 0, 3, 5 }; static const int next_lcounter[3] = { 1, 2, 0 }; static const int hcounter_incr[3] = { 0, 0, 1 }; write_bits(tq_blocks[hcounter] >> block_shift[lcounter], bits_to_write[lcounter], bit_offset, output_data); bit_offset += bits_to_write[lcounter]; hcounter += hcounter_incr[lcounter]; lcounter = next_lcounter[lcounter]; } } } void decode_ise(int quantization_level, int elements, const uint8_t * input_data, uint8_t * output_data, int bit_offset) { int i; // note: due to how the trit/quint-block unpacking is done in this function, // we may write more temporary results than the number of outputs // The maximum actual number of results is 64 bit, but we keep 4 additional elements // of padding. uint8_t results[68]; uint8_t tq_blocks[22]; // trit-blocks or quint-blocks int bits, trits, quints; find_number_of_bits_trits_quints(quantization_level, &bits, &trits, &quints); int lcounter = 0; int hcounter = 0; // trit-blocks or quint-blocks must be zeroed out before we collect them in the loop below. for (i = 0; i < 22; i++) tq_blocks[i] = 0; // collect bits for each element, as well as bits for any trit-blocks and quint-blocks. for (i = 0; i < elements; i++) { results[i] = read_bits(bits, bit_offset, input_data); bit_offset += bits; if (trits) { static const int bits_to_read[5] = { 2, 2, 1, 2, 1 }; static const int block_shift[5] = { 0, 2, 4, 5, 7 }; static const int next_lcounter[5] = { 1, 2, 3, 4, 0 }; static const int hcounter_incr[5] = { 0, 0, 0, 0, 1 }; int tdata = read_bits(bits_to_read[lcounter], bit_offset, input_data); bit_offset += bits_to_read[lcounter]; tq_blocks[hcounter] |= tdata << block_shift[lcounter]; hcounter += hcounter_incr[lcounter]; lcounter = next_lcounter[lcounter]; } if (quints) { static const int bits_to_read[3] = { 3, 2, 2 }; static const int block_shift[3] = { 0, 3, 5 }; static const int next_lcounter[3] = { 1, 2, 0 }; static const int hcounter_incr[3] = { 0, 0, 1 }; int tdata = read_bits(bits_to_read[lcounter], bit_offset, input_data); bit_offset += bits_to_read[lcounter]; tq_blocks[hcounter] |= tdata << block_shift[lcounter]; hcounter += hcounter_incr[lcounter]; lcounter = next_lcounter[lcounter]; } } // unpack trit-blocks or quint-blocks as needed if (trits) { int trit_blocks = (elements + 4) / 5; for (i = 0; i < trit_blocks; i++) { const uint8_t *tritptr = trits_of_integer[tq_blocks[i]]; results[5 * i] |= tritptr[0] << bits; results[5 * i + 1] |= tritptr[1] << bits; results[5 * i + 2] |= tritptr[2] << bits; results[5 * i + 3] |= tritptr[3] << bits; results[5 * i + 4] |= tritptr[4] << bits; } } if (quints) { int quint_blocks = (elements + 2) / 3; for (i = 0; i < quint_blocks; i++) { const uint8_t *quintptr = quints_of_integer[tq_blocks[i]]; results[3 * i] |= quintptr[0] << bits; results[3 * i + 1] |= quintptr[1] << bits; results[3 * i + 2] |= quintptr[2] << bits; } } for (i = 0; i < elements; i++) output_data[i] = results[i]; } int compute_ise_bitcount(int items, quantization_method quant) { switch (quant) { case QUANT_2: return items; case QUANT_3: return (8 * items + 4) / 5; case QUANT_4: return 2 * items; case QUANT_5: return (7 * items + 2) / 3; case QUANT_6: return (13 * items + 4) / 5; case QUANT_8: return 3 * items; case QUANT_10: return (10 * items + 2) / 3; case QUANT_12: return (18 * items + 4) / 5; case QUANT_16: return items * 4; case QUANT_20: return (13 * items + 2) / 3; case QUANT_24: return (23 * items + 4) / 5; case QUANT_32: return 5 * items; case QUANT_40: return (16 * items + 2) / 3; case QUANT_48: return (28 * items + 4) / 5; case QUANT_64: return 6 * items; case QUANT_80: return (19 * items + 2) / 3; case QUANT_96: return (33 * items + 4) / 5; case QUANT_128: return 7 * items; case QUANT_160: return (22 * items + 2) / 3; case QUANT_192: return (38 * items + 4) / 5; case QUANT_256: return 8 * items; default: return 100000; } }