/*------------------------------------------------------------------------- * * pg_bitutils.c * Miscellaneous functions for bit-wise operations. * * Copyright (c) 2019-2024, PostgreSQL Global Development Group * * IDENTIFICATION * src/port/pg_bitutils.c * *------------------------------------------------------------------------- */ #include "c.h" #ifdef HAVE__GET_CPUID #include #endif #ifdef HAVE__CPUID #include #endif #include "port/pg_bitutils.h" /* * Array giving the position of the left-most set bit for each possible * byte value. We count the right-most position as the 0th bit, and the * left-most the 7th bit. The 0th entry of the array should not be used. * * Note: this is not used by the functions in pg_bitutils.h when * HAVE__BUILTIN_CLZ is defined, but we provide it anyway, so that * extensions possibly compiled with a different compiler can use it. */ const uint8 pg_leftmost_one_pos[256] = { 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 }; /* * Array giving the position of the right-most set bit for each possible * byte value. We count the right-most position as the 0th bit, and the * left-most the 7th bit. The 0th entry of the array should not be used. * * Note: this is not used by the functions in pg_bitutils.h when * HAVE__BUILTIN_CTZ is defined, but we provide it anyway, so that * extensions possibly compiled with a different compiler can use it. */ const uint8 pg_rightmost_one_pos[256] = { 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 6, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 7, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 6, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 }; /* * Array giving the number of 1-bits in each possible byte value. * * Note: we export this for use by functions in which explicit use * of the popcount functions seems unlikely to be a win. */ const uint8 pg_number_of_ones[256] = { 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8 }; static inline int pg_popcount32_slow(uint32 word); static inline int pg_popcount64_slow(uint64 word); static uint64 pg_popcount_slow(const char *buf, int bytes); static uint64 pg_popcount_masked_slow(const char *buf, int bytes, bits8 mask); #ifdef TRY_POPCNT_FAST static bool pg_popcount_available(void); static int pg_popcount32_choose(uint32 word); static int pg_popcount64_choose(uint64 word); static uint64 pg_popcount_choose(const char *buf, int bytes); static uint64 pg_popcount_masked_choose(const char *buf, int bytes, bits8 mask); static inline int pg_popcount32_fast(uint32 word); static inline int pg_popcount64_fast(uint64 word); static uint64 pg_popcount_fast(const char *buf, int bytes); static uint64 pg_popcount_masked_fast(const char *buf, int bytes, bits8 mask); int (*pg_popcount32) (uint32 word) = pg_popcount32_choose; int (*pg_popcount64) (uint64 word) = pg_popcount64_choose; uint64 (*pg_popcount_optimized) (const char *buf, int bytes) = pg_popcount_choose; uint64 (*pg_popcount_masked_optimized) (const char *buf, int bytes, bits8 mask) = pg_popcount_masked_choose; #endif /* TRY_POPCNT_FAST */ #ifdef TRY_POPCNT_FAST /* * Return true if CPUID indicates that the POPCNT instruction is available. */ static bool pg_popcount_available(void) { unsigned int exx[4] = {0, 0, 0, 0}; #if defined(HAVE__GET_CPUID) __get_cpuid(1, &exx[0], &exx[1], &exx[2], &exx[3]); #elif defined(HAVE__CPUID) __cpuid(exx, 1); #else #error cpuid instruction not available #endif return (exx[2] & (1 << 23)) != 0; /* POPCNT */ } /* * These functions get called on the first call to pg_popcount32 etc. * They detect whether we can use the asm implementations, and replace * the function pointers so that subsequent calls are routed directly to * the chosen implementation. */ static inline void choose_popcount_functions(void) { if (pg_popcount_available()) { pg_popcount32 = pg_popcount32_fast; pg_popcount64 = pg_popcount64_fast; pg_popcount_optimized = pg_popcount_fast; pg_popcount_masked_optimized = pg_popcount_masked_fast; } else { pg_popcount32 = pg_popcount32_slow; pg_popcount64 = pg_popcount64_slow; pg_popcount_optimized = pg_popcount_slow; pg_popcount_masked_optimized = pg_popcount_masked_slow; } #ifdef USE_AVX512_POPCNT_WITH_RUNTIME_CHECK if (pg_popcount_avx512_available()) { pg_popcount_optimized = pg_popcount_avx512; pg_popcount_masked_optimized = pg_popcount_masked_avx512; } #endif } static int pg_popcount32_choose(uint32 word) { choose_popcount_functions(); return pg_popcount32(word); } static int pg_popcount64_choose(uint64 word) { choose_popcount_functions(); return pg_popcount64(word); } static uint64 pg_popcount_choose(const char *buf, int bytes) { choose_popcount_functions(); return pg_popcount_optimized(buf, bytes); } static uint64 pg_popcount_masked_choose(const char *buf, int bytes, bits8 mask) { choose_popcount_functions(); return pg_popcount_masked(buf, bytes, mask); } /* * pg_popcount32_fast * Return the number of 1 bits set in word */ static inline int pg_popcount32_fast(uint32 word) { #ifdef _MSC_VER return __popcnt(word); #else uint32 res; __asm__ __volatile__(" popcntl %1,%0\n":"=q"(res):"rm"(word):"cc"); return (int) res; #endif } /* * pg_popcount64_fast * Return the number of 1 bits set in word */ static inline int pg_popcount64_fast(uint64 word) { #ifdef _MSC_VER return __popcnt64(word); #else uint64 res; __asm__ __volatile__(" popcntq %1,%0\n":"=q"(res):"rm"(word):"cc"); return (int) res; #endif } /* * pg_popcount_fast * Returns the number of 1-bits in buf */ static uint64 pg_popcount_fast(const char *buf, int bytes) { uint64 popcnt = 0; #if SIZEOF_VOID_P >= 8 /* Process in 64-bit chunks if the buffer is aligned. */ if (buf == (const char *) TYPEALIGN(8, buf)) { const uint64 *words = (const uint64 *) buf; while (bytes >= 8) { popcnt += pg_popcount64_fast(*words++); bytes -= 8; } buf = (const char *) words; } #else /* Process in 32-bit chunks if the buffer is aligned. */ if (buf == (const char *) TYPEALIGN(4, buf)) { const uint32 *words = (const uint32 *) buf; while (bytes >= 4) { popcnt += pg_popcount32_fast(*words++); bytes -= 4; } buf = (const char *) words; } #endif /* Process any remaining bytes */ while (bytes--) popcnt += pg_number_of_ones[(unsigned char) *buf++]; return popcnt; } /* * pg_popcount_masked_fast * Returns the number of 1-bits in buf after applying the mask to each byte */ static uint64 pg_popcount_masked_fast(const char *buf, int bytes, bits8 mask) { uint64 popcnt = 0; #if SIZEOF_VOID_P >= 8 /* Process in 64-bit chunks if the buffer is aligned */ uint64 maskv = ~UINT64CONST(0) / 0xFF * mask; if (buf == (const char *) TYPEALIGN(8, buf)) { const uint64 *words = (const uint64 *) buf; while (bytes >= 8) { popcnt += pg_popcount64_fast(*words++ & maskv); bytes -= 8; } buf = (const char *) words; } #else /* Process in 32-bit chunks if the buffer is aligned. */ uint32 maskv = ~((uint32) 0) / 0xFF * mask; if (buf == (const char *) TYPEALIGN(4, buf)) { const uint32 *words = (const uint32 *) buf; while (bytes >= 4) { popcnt += pg_popcount32_fast(*words++ & maskv); bytes -= 4; } buf = (const char *) words; } #endif /* Process any remaining bytes */ while (bytes--) popcnt += pg_number_of_ones[(unsigned char) *buf++ & mask]; return popcnt; } #endif /* TRY_POPCNT_FAST */ /* * pg_popcount32_slow * Return the number of 1 bits set in word */ static inline int pg_popcount32_slow(uint32 word) { #ifdef HAVE__BUILTIN_POPCOUNT return __builtin_popcount(word); #else /* !HAVE__BUILTIN_POPCOUNT */ int result = 0; while (word != 0) { result += pg_number_of_ones[word & 255]; word >>= 8; } return result; #endif /* HAVE__BUILTIN_POPCOUNT */ } /* * pg_popcount64_slow * Return the number of 1 bits set in word */ static inline int pg_popcount64_slow(uint64 word) { #ifdef HAVE__BUILTIN_POPCOUNT #if defined(HAVE_LONG_INT_64) return __builtin_popcountl(word); #elif defined(HAVE_LONG_LONG_INT_64) return __builtin_popcountll(word); #else #error must have a working 64-bit integer datatype #endif #else /* !HAVE__BUILTIN_POPCOUNT */ int result = 0; while (word != 0) { result += pg_number_of_ones[word & 255]; word >>= 8; } return result; #endif /* HAVE__BUILTIN_POPCOUNT */ } /* * pg_popcount_slow * Returns the number of 1-bits in buf */ static uint64 pg_popcount_slow(const char *buf, int bytes) { uint64 popcnt = 0; #if SIZEOF_VOID_P >= 8 /* Process in 64-bit chunks if the buffer is aligned. */ if (buf == (const char *) TYPEALIGN(8, buf)) { const uint64 *words = (const uint64 *) buf; while (bytes >= 8) { popcnt += pg_popcount64_slow(*words++); bytes -= 8; } buf = (const char *) words; } #else /* Process in 32-bit chunks if the buffer is aligned. */ if (buf == (const char *) TYPEALIGN(4, buf)) { const uint32 *words = (const uint32 *) buf; while (bytes >= 4) { popcnt += pg_popcount32_slow(*words++); bytes -= 4; } buf = (const char *) words; } #endif /* Process any remaining bytes */ while (bytes--) popcnt += pg_number_of_ones[(unsigned char) *buf++]; return popcnt; } /* * pg_popcount_masked_slow * Returns the number of 1-bits in buf after applying the mask to each byte */ static uint64 pg_popcount_masked_slow(const char *buf, int bytes, bits8 mask) { uint64 popcnt = 0; #if SIZEOF_VOID_P >= 8 /* Process in 64-bit chunks if the buffer is aligned */ uint64 maskv = ~UINT64CONST(0) / 0xFF * mask; if (buf == (const char *) TYPEALIGN(8, buf)) { const uint64 *words = (const uint64 *) buf; while (bytes >= 8) { popcnt += pg_popcount64_slow(*words++ & maskv); bytes -= 8; } buf = (const char *) words; } #else /* Process in 32-bit chunks if the buffer is aligned. */ uint32 maskv = ~((uint32) 0) / 0xFF * mask; if (buf == (const char *) TYPEALIGN(4, buf)) { const uint32 *words = (const uint32 *) buf; while (bytes >= 4) { popcnt += pg_popcount32_slow(*words++ & maskv); bytes -= 4; } buf = (const char *) words; } #endif /* Process any remaining bytes */ while (bytes--) popcnt += pg_number_of_ones[(unsigned char) *buf++ & mask]; return popcnt; } #ifndef TRY_POPCNT_FAST /* * When the POPCNT instruction is not available, there's no point in using * function pointers to vary the implementation between the fast and slow * method. We instead just make these actual external functions when * TRY_POPCNT_FAST is not defined. The compiler should be able to inline * the slow versions here. */ int pg_popcount32(uint32 word) { return pg_popcount32_slow(word); } int pg_popcount64(uint64 word) { return pg_popcount64_slow(word); } /* * pg_popcount_optimized * Returns the number of 1-bits in buf */ uint64 pg_popcount_optimized(const char *buf, int bytes) { return pg_popcount_slow(buf, bytes); } /* * pg_popcount_masked_optimized * Returns the number of 1-bits in buf after applying the mask to each byte */ uint64 pg_popcount_masked_optimized(const char *buf, int bytes, bits8 mask) { return pg_popcount_masked_slow(buf, bytes, mask); } #endif /* !TRY_POPCNT_FAST */