// // FILE: bitHelpers.cpp // AUTHOR: Rob Tillaart // VERSION: 0.1.12 // DATE: 2015-11-07 // PURPOSE: Arduino library with functions on bit level // URL: https://github.com/RobTillaart/bitHelpers #include "bitHelpers.h" //////////////////////////////////////////////// // // BIT COUNT TEST // uint8_t bitCountReference(uint32_t value) { uint32_t v = value; uint8_t count = 0; while (v > 0) { if (v & 1) count++; v >>= 1; } return count; } uint8_t bitCountKR(uint32_t value) { // Kerningham & Ritchie uint32_t v = value; uint8_t count = 0; while (v) { count++; v &= (v - 1); } return count; } uint8_t bitCountArray(uint32_t value) { uint8_t ar[] = {0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4}; uint32_t v = value; uint8_t count = 0; while (v) { count += ar[v & 0x0F]; v >>= 4; } return count; } uint8_t bitCountF1(uint32_t value) { // parallel adding in a register SWAG algorithm uint32_t v = value; v = v - ((v >> 1) & 0x55555555); v = (v & 0x33333333) + ((v >> 2) & 0x33333333); v = (v + (v >> 4)) & 0x0F0F0F0F; v = v + (v >> 8); v = v + (v >> 16); return v & 0x0000003F; }; uint8_t bitCountF2(uint32_t value) { // parallel adding in a register SWAG algorithm uint32_t v = value; v = v - ((v >> 1) & 0x55555555); v = (v & 0x33333333) + ((v >> 2) & 0x33333333); v = ((v + (v >> 4)) & 0x0F0F0F0F); return ( v * 0x01010101) >> 24; } //////////////////////////////////////////////// // // BIT COUNT // uint8_t bitCount(uint8_t value) { // parallel adding in a register SWAG algorithm uint8_t v = value; v = v - ((v >> 1) & 0x55); v = (v & 0x33) + ((v >> 2) & 0x33); v = (v + (v >> 4)) & 0x0F; return v; } uint8_t bitCount(uint16_t value) { // parallel adding in a register SWAG algorithm uint16_t v = value; v = v - ((v >> 1) & 0x5555); v = (v & 0x3333) + ((v >> 2) & 0x3333); v = (v + (v >> 4)) & 0x0F0F; v = (v + (v >> 8)) & 0x1F; return v; } uint8_t bitCount(uint32_t value) { // parallel adding in a register SWAG algorithm uint32_t v = value; v = v - ((v >> 1) & 0x55555555); v = (v & 0x33333333) + ((v >> 2) & 0x33333333); v = (v + (v >> 4)) & 0x0F0F0F0F; v = v + (v >> 8); v = (v + (v >> 16)) & 0x3F; return v; } uint8_t bitCount(uint64_t value) { // parallel adding in a register SWAG algorithm uint64_t v = value; v = v - ((v >> 1) & 0x5555555555555555); v = (v & 0x3333333333333333) + ((v >> 2) & 0x3333333333333333); v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0F; v = v + (v >> 8); v = v + (v >> 16); v = (v + (v >> 32)) & 0x7F; return v; } //////////////////////////////////////////////// // // BIT REVERSE // uint8_t bitReverse(uint8_t value) { uint8_t x = value; x = (((x & 0xAA) >> 1) | ((x & 0x55) << 1)); x = (((x & 0xCC) >> 2) | ((x & 0x33) << 2)); x = (x >> 4) | (x << 4); return x; } uint16_t bitReverse(uint16_t value) { uint16_t x = value; x = (((x & 0xAAAA) >> 1) | ((x & 0x5555) << 1)); x = (((x & 0xCCCC) >> 2) | ((x & 0x3333) << 2)); x = (((x & 0xF0F0) >> 4) | ((x & 0x0F0F) << 4)); x = (x >> 8) | (x << 8); return x; } uint32_t bitReverse(uint32_t value) { uint32_t x = value; x = (((x & 0xAAAAAAAA) >> 1) | ((x & 0x55555555) << 1)); x = (((x & 0xCCCCCCCC) >> 2) | ((x & 0x33333333) << 2)); x = (((x & 0xF0F0F0F0) >> 4) | ((x & 0x0F0F0F0F) << 4)); x = (((x & 0xFF00FF00) >> 8) | ((x & 0x00FF00FF) << 8)); x = (x >> 16) | (x << 16); return x; } uint64_t bitReverse(uint64_t value) { uint64_t x = value; x = (((x & 0xAAAAAAAAAAAAAAAA) >> 1) | ((x & 0x5555555555555555) << 1)); x = (((x & 0xCCCCCCCCCCCCCCCC) >> 2) | ((x & 0x3333333333333333) << 2)); x = (((x & 0xF0F0F0F0F0F0F0F0) >> 4) | ((x & 0x0F0F0F0F0F0F0F0F) << 4)); x = (((x & 0xFF00FF00FF00FF00) >> 8) | ((x & 0x00FF00FF00FF00FF) << 8)); x = (((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16)); x = (x >> 32) | (x << 32); return x; } //////////////////////////////////////////////// // // NYBBLE REVERSE // uint8_t nybbleReverse(uint8_t value) { uint8_t x = value; x = (x >> 4) | (x << 4); return x; } uint16_t nybbleReverse(uint16_t value) { uint16_t x = value; x = (((x & 0xF0F0) >> 4) | ((x & 0x0F0F) << 4)); x = (x >> 8) | (x << 8); return x; } uint32_t nybbleReverse(uint32_t value) { uint32_t x = value; x = (((x & 0xF0F0F0F0) >> 4) | ((x & 0x0F0F0F0F) << 4)); x = (((x & 0xFF00FF00) >> 8) | ((x & 0x00FF00FF) << 8)); x = (x >> 16) | (x << 16); return x; } uint64_t nybbleReverse(uint64_t value) { uint64_t x = value; x = (((x & 0xF0F0F0F0F0F0F0F0) >> 4) | ((x & 0x0F0F0F0F0F0F0F0F) << 4)); x = (((x & 0xFF00FF00FF00FF00) >> 8) | ((x & 0x00FF00FF00FF00FF) << 8)); x = (((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16)); x = (x >> 32) | (x << 32); return x; } //////////////////////////////////////////////// // // BYTE REVERSE // uint16_t byteReverse(uint16_t value) { uint16_t x = value; x = (x >> 8) | (x << 8); return x; } uint32_t byteReverse(uint32_t value) { uint32_t x = value; x = (((x & 0xFF00FF00) >> 8) | ((x & 0x00FF00FF) << 8)); x = (x >> 16) | (x << 16); return x; } uint64_t byteReverse(uint64_t value) { uint64_t x = value; x = (((x & 0xFF00FF00FF00FF00) >> 8) | ((x & 0x00FF00FF00FF00FF) << 8)); x = (((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16)); x = (x >> 32) | (x << 32); return x; } //////////////////////////////////////////////// // // WORD REVERSE // uint32_t wordReverse(uint32_t value) { uint32_t x = value; x = (x >> 16) | (x << 16); return x; } uint64_t wordReverse(uint64_t value) { uint64_t x = value; x = (((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16)); x = (x >> 32) | (x << 32); return x; } //////////////////////////////////////////////// // // SWAP HI LO // uint8_t swap(uint8_t value) { return (value << 4) | (value >> 4); } uint16_t swap(uint16_t value) { return (value << 8) | (value >> 8); } uint32_t swap(uint32_t value) { return (value << 16) | (value >> 16); } uint64_t swap(uint64_t value) { return (value << 32) | (value >> 32); } //////////////////////////////////////////////// // // BIT ROTATE LEFT // uint8_t bitRotateLeft(uint8_t value, uint8_t position) { if (position == 0) return value; if (position > 7) return value; return (value << position) | (value >> (8 - position)); } uint16_t bitRotateLeft(uint16_t value, uint8_t position) { if (position == 0) return value; if (position > 15) return value; return (value << position) | (value >> (16 - position)); } uint32_t bitRotateLeft(uint32_t value, uint8_t position) { if (position == 0) return value; if (position > 31) return value; return (value << position) | (value >> (32 - position)); } uint64_t bitRotateLeft(uint64_t value, uint8_t position) { if (position == 0) return value; if (position > 63) return value; return (value << position) | (value >> (64 - position)); } //////////////////////////////////////////////// // // BIT ROTATE RIGHT // uint8_t bitRotateRight(uint8_t value, uint8_t position) { if (position == 0) return value; if (position > 7) return value; return (value << (8 - position)) | (value >> position); } uint16_t bitRotateRight(uint16_t value, uint8_t position) { if (position == 0) return value; if (position > 15) return value; return (value << (16 - position)) | (value >> position); } uint32_t bitRotateRight(uint32_t value, uint8_t position) { if (position == 0) return value; if (position > 31) return value; return (value << (32 - position)) | (value >> position); } uint64_t bitRotateRight(uint64_t value, uint8_t position) { if (position == 0) return value; if (position > 63) return value; return (value << (64 - position)) | (value >> position); } //////////////////////////////////////////////////// // // BIT FLIP // uint8_t bitFlip(uint8_t value, uint8_t position) { if (position > 7) return value; return value ^ (1 << position); } uint16_t bitFlip(uint16_t value, uint8_t position) { if (position > 15) return value; return value ^ (1 << position); } uint32_t bitFlip(uint32_t value, uint8_t position) { if (position > 31) return value; return value ^ (1UL << position); } uint64_t bitFlip(uint64_t value, uint8_t position) { if (position > 63) return value; return value ^ (1ULL << position); } //////////////////////////////////////////////////// // // BIT ROT // uint8_t bitRotRef(uint8_t value, float chance) { if (random(BH_BIG_NR) > chance * BH_BIG_NR) return value; return value ^ (1 << random(8)); } uint16_t bitRotRef(uint16_t value, float chance) { if (random(BH_BIG_NR) > chance * BH_BIG_NR) return value; return value ^ (1UL << random(16)); } uint32_t bitRotRef(uint32_t value, float chance) { if (random(BH_BIG_NR) > chance * BH_BIG_NR) return value; return value ^ (1UL << random(32)); } uint64_t bitRotRef(uint64_t value, float chance) { if (random(BH_BIG_NR) > chance * BH_BIG_NR) return value; return value ^ (1ULL << random(64)); } uint8_t bitRot(uint8_t value, float chance, uint16_t times) { while(times--) { uint32_t r = random(BH_BIG_NR); if ( r < chance * BH_BIG_NR) { value ^= (1 << (r & 7)); } } return value; } uint16_t bitRot(uint16_t value, float chance, uint16_t times) { while(times--) { uint32_t r = random(BH_BIG_NR); if ( r < chance * BH_BIG_NR) { value ^= (1 << (r & 15)); } } return value; }; uint32_t bitRot(uint32_t value, float chance, uint16_t times) { while(times--) { uint32_t r = random(BH_BIG_NR); if ( r < chance * BH_BIG_NR) { value ^= (1 << (r & 31)); } } return value; }; uint64_t bitRot(uint64_t value, float chance, uint16_t times) { while(times--) { uint32_t r = random(BH_BIG_NR); if ( r < chance * BH_BIG_NR) { value ^= (1 << (r & 63)); } } return value; }; //////////////////////////////////////////////////// // // BIT-SET64 -CLEAR64 -TOGGLE64 -READ64 -WRITE64 // // FUNCTIONS #if defined(__AVR__) // optimized for performance void bitSet64(uint64_t & x, uint8_t n) { if (n > 47) x |= (0x1000000000000 << (n - 48)); else if (n > 31) x |= (0x100000000 << (n - 32)); else if (n > 23) x |= (0x1000000 << (n - 24)); else if (n > 15) x |= (0x10000 << (n - 16)); else x |= (0x1 << n); } void bitClear64(uint64_t & x, uint8_t n) { if (n > 47) x &= ~(0x1000000000000 << (n - 48)); else if (n > 31) x &= ~(0x100000000 << (n - 32)); else if (n > 23) x &= ~(0x1000000 << (n - 24)); else if (n > 15) x &= ~(0x10000 << (n - 16)); else x &= ~(0x1 << n); } void bitToggle64(uint64_t & x, uint8_t n) { if (n > 47) x ^= (0x1000000000000 << (n - 48)); else if (n > 31) x ^= (0x100000000 << (n - 32)); else if (n > 23) x ^= (0x1000000 << (n - 24)); else if (n > 15) x ^= (0x10000 << (n - 16)); else x ^= (0x1 << n); } #elif defined(ESP32) // optimized for performance void bitSet64(uint64_t & x, uint8_t n) { if (n > 31) x |= (0x100000000 << (n - 32)); else x |= (0x1 << n); } void bitClear64(uint64_t & x, uint8_t n) { if (n > 31) x &= ~(0x100000000 << (n - 32)); else x &= ~(0x1 << n); } void bitToggle64(uint64_t & x, uint8_t n) { if (n > 31) x ^= (0x100000000 << (n - 32)); else x ^= (0x1 << n); } #else // slower reference implementation void bitSet64(uint64_t & x, uint8_t bit) { x |= (1ULL << bit); } void bitClear64(uint64_t & x, uint8_t bit) { x &= ~(1ULL << bit); } void bitToggle64(uint64_t & x, uint8_t bit) { x ^= (1ULL << bit); } #endif uint8_t bitRead64(uint64_t & x, uint8_t bit) { return ((x & (1ULL << bit)) > 0); } void bitWrite64(uint64_t & x, uint8_t bit, uint8_t value) { if (value) bitSet64(x, bit); else bitClear64(x, bit); } //////////////////////////////////////////////////// // // BITS NEEDED // // reference uint8_t bitsNeededRef(uint64_t x) { uint8_t n = 0; while (x) { x >>= 1; n++; } return n; } // workers uint8_t bitsNeeded(uint8_t x) { uint8_t n = 0; while (x) { x >>= 1; n++; } return n; } uint8_t bitsNeeded(uint16_t x) { uint8_t y = x >> 8; if (y != 0) return bitsNeeded(y) + 8; return bitsNeeded((uint8_t)x); } uint8_t bitsNeeded(uint32_t x) { uint16_t y = x >> 16; if (y != 0) return bitsNeeded(y) + 16; return bitsNeeded((uint16_t)x); } uint8_t bitsNeeded(uint64_t x) { uint32_t y = x >> 32; if (x >> 32) return bitsNeeded(y) + 32; return bitsNeeded((uint32_t)x); } // -- END OF FILE --