aboutsummaryrefslogtreecommitdiffstats
path: root/contrib/t1ha/t1ha_bits.h
diff options
context:
space:
mode:
Diffstat (limited to 'contrib/t1ha/t1ha_bits.h')
-rw-r--r--contrib/t1ha/t1ha_bits.h827
1 files changed, 827 insertions, 0 deletions
diff --git a/contrib/t1ha/t1ha_bits.h b/contrib/t1ha/t1ha_bits.h
new file mode 100644
index 000000000..eb032a69c
--- /dev/null
+++ b/contrib/t1ha/t1ha_bits.h
@@ -0,0 +1,827 @@
+/*
+ * Copyright (c) 2016-2018 Positive Technologies, https://www.ptsecurity.com,
+ * Fast Positive Hash.
+ *
+ * Portions Copyright (c) 2010-2018 Leonid Yuriev <leo@yuriev.ru>,
+ * The 1Hippeus project (t1h).
+ *
+ * This software is provided 'as-is', without any express or implied
+ * warranty. In no event will the authors be held liable for any damages
+ * arising from the use of this software.
+ *
+ * Permission is granted to anyone to use this software for any purpose,
+ * including commercial applications, and to alter it and redistribute it
+ * freely, subject to the following restrictions:
+ *
+ * 1. The origin of this software must not be misrepresented; you must not
+ * claim that you wrote the original software. If you use this software
+ * in a product, an acknowledgement in the product documentation would be
+ * appreciated but is not required.
+ * 2. Altered source versions must be plainly marked as such, and must not be
+ * misrepresented as being the original software.
+ * 3. This notice may not be removed or altered from any source distribution.
+ */
+
+/*
+ * t1ha = { Fast Positive Hash, aka "Позитивный Хэш" }
+ * by [Positive Technologies](https://www.ptsecurity.ru)
+ *
+ * Briefly, it is a 64-bit Hash Function:
+ * 1. Created for 64-bit little-endian platforms, in predominantly for x86_64,
+ * but portable and without penalties it can run on any 64-bit CPU.
+ * 2. In most cases up to 15% faster than City64, xxHash, mum-hash, metro-hash
+ * and all others portable hash-functions (which do not use specific
+ * hardware tricks).
+ * 3. Not suitable for cryptography.
+ *
+ * The Future will Positive. Всё будет хорошо.
+ *
+ * ACKNOWLEDGEMENT:
+ * The t1ha was originally developed by Leonid Yuriev (Леонид Юрьев)
+ * for The 1Hippeus project - zerocopy messaging in the spirit of Sparta!
+ */
+
+#pragma once
+
+#if defined(_MSC_VER)
+#pragma warning(disable : 4201) /* nameless struct/union */
+#if _MSC_VER > 1800
+#pragma warning(disable : 4464) /* relative include path contains '..' */
+#endif /* 1800 */
+#endif /* MSVC */
+
+#include "config.h"
+#include "t1ha.h"
+
+#ifndef T1HA_USE_FAST_ONESHOT_READ
+/* Define it to 1 for little bit faster code.
+ * Unfortunately this may triggering a false-positive alarms from Valgrind,
+ * AddressSanitizer and other similar tool.
+ * So, define it to 0 for calmness if doubt. */
+#define T1HA_USE_FAST_ONESHOT_READ 1
+#endif /* T1HA_USE_FAST_ONESHOT_READ */
+
+/*****************************************************************************/
+
+#include <assert.h> /* for assert() */
+#include <stdbool.h> /* for bool */
+#include <string.h> /* for memcpy() */
+
+#if __BYTE_ORDER__ != __ORDER_LITTLE_ENDIAN__ && \
+ __BYTE_ORDER__ != __ORDER_BIG_ENDIAN__
+#error Unsupported byte order.
+#endif
+
+#if !defined(UNALIGNED_OK)
+#if (defined(__ia32__) || defined(__e2k__) || \
+ defined(__ARM_FEATURE_UNALIGNED)) && \
+ !defined(__ALIGNED__)
+#define UNALIGNED_OK 1
+#else
+#define UNALIGNED_OK 0
+#endif
+#endif /* UNALIGNED_OK */
+
+#if UNALIGNED_OK && !defined(PAGESIZE)
+#define PAGESIZE 4096
+#endif /* PAGESIZE */
+
+/***************************************************************************/
+
+#ifndef __has_builtin
+#define __has_builtin(x) (0)
+#endif
+
+#if __GNUC_PREREQ(4, 4) || defined(__clang__)
+
+#if defined(__ia32__) || defined(__e2k__)
+#include <x86intrin.h>
+#endif
+
+#if defined(__ia32__)
+#include <cpuid.h>
+#endif
+
+#if defined(__e2k__)
+#include <e2kbuiltin.h>
+#endif
+
+#ifndef likely
+#define likely(cond) __builtin_expect(!!(cond), 1)
+#endif
+
+#ifndef unlikely
+#define unlikely(cond) __builtin_expect(!!(cond), 0)
+#endif
+
+#if __GNUC_PREREQ(4, 5) || __has_builtin(__builtin_unreachable)
+#define unreachable() __builtin_unreachable()
+#endif
+
+#define bswap64(v) __builtin_bswap64(v)
+#define bswap32(v) __builtin_bswap32(v)
+#if __GNUC_PREREQ(4, 8) || __has_builtin(__builtin_bswap16)
+#define bswap16(v) __builtin_bswap16(v)
+#endif
+
+#if !defined(__maybe_unused) && (__GNUC_PREREQ(4, 3) || __has_attribute(unused))
+#define __maybe_unused __attribute__((unused))
+#endif
+
+#if !defined(__always_inline) && \
+ (__GNUC_PREREQ(3, 2) || __has_attribute(always_inline))
+#define __always_inline __inline __attribute__((always_inline))
+#endif
+
+#if defined(__e2k__)
+
+#if __iset__ >= 3
+#define mul_64x64_high(a, b) __builtin_e2k_umulhd(a, b)
+#endif /* __iset__ >= 3 */
+
+#if __iset__ >= 5
+static __maybe_unused __always_inline unsigned
+e2k_add64carry_first(uint64_t base, uint64_t addend, uint64_t *sum) {
+ *sum = base + addend;
+ return (unsigned)__builtin_e2k_addcd_c(base, addend, 0);
+}
+#define add64carry_first(base, addend, sum) \
+ e2k_add64carry_first(base, addend, sum)
+
+static __maybe_unused __always_inline unsigned
+e2k_add64carry_next(unsigned carry, uint64_t base, uint64_t addend,
+ uint64_t *sum) {
+ *sum = __builtin_e2k_addcd(base, addend, carry);
+ return (unsigned)__builtin_e2k_addcd_c(base, addend, carry);
+}
+#define add64carry_next(carry, base, addend, sum) \
+ e2k_add64carry_next(carry, base, addend, sum)
+
+static __maybe_unused __always_inline void e2k_add64carry_last(unsigned carry,
+ uint64_t base,
+ uint64_t addend,
+ uint64_t *sum) {
+ *sum = __builtin_e2k_addcd(base, addend, carry);
+}
+#define add64carry_last(carry, base, addend, sum) \
+ e2k_add64carry_last(carry, base, addend, sum)
+#endif /* __iset__ >= 5 */
+
+#if 0 /* LY: unreasonable, because alignment is required :( */
+#define fetch64_be(ptr) ((uint64_t)__builtin_e2k_ld_64s_be(ptr))
+#define fetch32_be(ptr) ((uint32_t)__builtin_e2k_ld_32u_be(ptr))
+#endif
+
+#endif /* __e2k__ Elbrus */
+
+#elif defined(_MSC_VER)
+
+#if _MSC_FULL_VER < 190024218 && defined(_M_IX86)
+#pragma message( \
+ "For AES-NI at least \"Microsoft C/C++ Compiler\" version 19.00.24218 (Visual Studio 2015 Update 5) is required.")
+#endif
+#if _MSC_FULL_VER < 191025019
+#pragma message( \
+ "It is recommended to use \"Microsoft C/C++ Compiler\" version 19.10.25019 (Visual Studio 2017) or newer.")
+#endif
+#if _MSC_FULL_VER < 180040629
+#error At least "Microsoft C/C++ Compiler" version 18.00.40629 (Visual Studio 2013 Update 5) is required.
+#endif
+
+#pragma warning(push, 1)
+
+#include <intrin.h>
+#include <stdlib.h>
+#define likely(cond) (cond)
+#define unlikely(cond) (cond)
+#define unreachable() __assume(0)
+#define bswap64(v) _byteswap_uint64(v)
+#define bswap32(v) _byteswap_ulong(v)
+#define bswap16(v) _byteswap_ushort(v)
+#define rot64(v, s) _rotr64(v, s)
+#define rot32(v, s) _rotr(v, s)
+#define __always_inline __forceinline
+
+#if defined(_M_X64) || defined(_M_IA64)
+#pragma intrinsic(_umul128)
+#define mul_64x64_128(a, b, ph) _umul128(a, b, ph)
+#pragma intrinsic(_addcarry_u64)
+#define add64carry_first(base, addend, sum) _addcarry_u64(0, base, addend, sum)
+#define add64carry_next(carry, base, addend, sum) \
+ _addcarry_u64(carry, base, addend, sum)
+#define add64carry_last(carry, base, addend, sum) \
+ (void)_addcarry_u64(carry, base, addend, sum)
+#endif
+
+#if defined(_M_ARM64) || defined(_M_X64) || defined(_M_IA64)
+#pragma intrinsic(__umulh)
+#define mul_64x64_high(a, b) __umulh(a, b)
+#endif
+
+#if defined(_M_IX86)
+#pragma intrinsic(__emulu)
+#define mul_32x32_64(a, b) __emulu(a, b)
+
+#if _MSC_FULL_VER >= 190024231 /* LY: workaround for optimizer bug */
+#pragma intrinsic(_addcarry_u32)
+#define add32carry_first(base, addend, sum) _addcarry_u32(0, base, addend, sum)
+#define add32carry_next(carry, base, addend, sum) \
+ _addcarry_u32(carry, base, addend, sum)
+#define add32carry_last(carry, base, addend, sum) \
+ (void)_addcarry_u32(carry, base, addend, sum)
+
+static __forceinline char
+msvc32_add64carry_first(uint64_t base, uint64_t addend, uint64_t *sum) {
+ uint32_t *const sum32 = (uint32_t *)sum;
+ const uint32_t base_32l = (uint32_t)base;
+ const uint32_t base_32h = (uint32_t)(base >> 32);
+ const uint32_t addend_32l = (uint32_t)addend;
+ const uint32_t addend_32h = (uint32_t)(addend >> 32);
+ return add32carry_next(add32carry_first(base_32l, addend_32l, sum32),
+ base_32h, addend_32h, sum32 + 1);
+}
+#define add64carry_first(base, addend, sum) \
+ msvc32_add64carry_first(base, addend, sum)
+
+static __forceinline char msvc32_add64carry_next(char carry, uint64_t base,
+ uint64_t addend,
+ uint64_t *sum) {
+ uint32_t *const sum32 = (uint32_t *)sum;
+ const uint32_t base_32l = (uint32_t)base;
+ const uint32_t base_32h = (uint32_t)(base >> 32);
+ const uint32_t addend_32l = (uint32_t)addend;
+ const uint32_t addend_32h = (uint32_t)(addend >> 32);
+ return add32carry_next(add32carry_next(carry, base_32l, addend_32l, sum32),
+ base_32h, addend_32h, sum32 + 1);
+}
+#define add64carry_next(carry, base, addend, sum) \
+ msvc32_add64carry_next(carry, base, addend, sum)
+
+static __forceinline void msvc32_add64carry_last(char carry, uint64_t base,
+ uint64_t addend,
+ uint64_t *sum) {
+ uint32_t *const sum32 = (uint32_t *)sum;
+ const uint32_t base_32l = (uint32_t)base;
+ const uint32_t base_32h = (uint32_t)(base >> 32);
+ const uint32_t addend_32l = (uint32_t)addend;
+ const uint32_t addend_32h = (uint32_t)(addend >> 32);
+ add32carry_last(add32carry_next(carry, base_32l, addend_32l, sum32), base_32h,
+ addend_32h, sum32 + 1);
+}
+#define add64carry_last(carry, base, addend, sum) \
+ msvc32_add64carry_last(carry, base, addend, sum)
+#endif /* _MSC_FULL_VER >= 190024231 */
+
+#elif defined(_M_ARM)
+#define mul_32x32_64(a, b) _arm_umull(a, b)
+#endif
+
+#pragma warning(pop)
+#pragma warning(disable : 4514) /* 'xyz': unreferenced inline function \
+ has been removed */
+#pragma warning(disable : 4710) /* 'xyz': function not inlined */
+#pragma warning(disable : 4711) /* function 'xyz' selected for \
+ automatic inline expansion */
+#pragma warning(disable : 4127) /* conditional expression is constant */
+#pragma warning(disable : 4702) /* unreachable code */
+#endif /* Compiler */
+
+#ifndef likely
+#define likely(cond) (cond)
+#endif
+#ifndef unlikely
+#define unlikely(cond) (cond)
+#endif
+#ifndef __maybe_unused
+#define __maybe_unused
+#endif
+#ifndef __always_inline
+#define __always_inline __inline
+#endif
+#ifndef unreachable
+#define unreachable() \
+ do { \
+ } while (1)
+#endif
+
+#ifndef bswap64
+#if defined(bswap_64)
+#define bswap64 bswap_64
+#elif defined(__bswap_64)
+#define bswap64 __bswap_64
+#else
+static __always_inline uint64_t bswap64(uint64_t v) {
+ return v << 56 | v >> 56 | ((v << 40) & UINT64_C(0x00ff000000000000)) |
+ ((v << 24) & UINT64_C(0x0000ff0000000000)) |
+ ((v << 8) & UINT64_C(0x000000ff00000000)) |
+ ((v >> 8) & UINT64_C(0x00000000ff000000)) |
+ ((v >> 24) & UINT64_C(0x0000000000ff0000)) |
+ ((v >> 40) & UINT64_C(0x000000000000ff00));
+}
+#endif
+#endif /* bswap64 */
+
+#ifndef bswap32
+#if defined(bswap_32)
+#define bswap32 bswap_32
+#elif defined(__bswap_32)
+#define bswap32 __bswap_32
+#else
+static __always_inline uint32_t bswap32(uint32_t v) {
+ return v << 24 | v >> 24 | ((v << 8) & UINT32_C(0x00ff0000)) |
+ ((v >> 8) & UINT32_C(0x0000ff00));
+}
+#endif
+#endif /* bswap32 */
+
+#ifndef bswap16
+#if defined(bswap_16)
+#define bswap16 bswap_16
+#elif defined(__bswap_16)
+#define bswap16 __bswap_16
+#else
+static __always_inline uint16_t bswap16(uint16_t v) { return v << 8 | v >> 8; }
+#endif
+#endif /* bswap16 */
+
+#ifndef unaligned
+#if defined(__LCC__)
+#pragma diag_suppress wrong_entity_for_attribute
+#define unaligned(ptr) ((const char __attribute__((packed, aligned(1))) *)(ptr))
+#elif defined(__clang__)
+#pragma clang diagnostic ignored "-Wignored-attributes"
+#define unaligned(ptr) ((const char __attribute__((packed, aligned(1))) *)(ptr))
+#elif defined(__GNUC__)
+#pragma GCC diagnostic ignored "-Wpacked"
+#define unaligned(ptr) ((const char __attribute__((packed, aligned(1))) *)(ptr))
+#elif defined(_MSC_VER)
+#pragma warning( \
+ disable : 4235) /* nonstandard extension used: '__unaligned' \
+ * keyword not supported on this architecture */
+#define unaligned(ptr) ((const char __unaligned *)(ptr))
+#else
+#define unaligned(ptr) ((const char *)(ptr))
+#endif
+#endif /* unaligned */
+
+/***************************************************************************/
+
+#ifndef fetch64_le
+static __always_inline uint64_t fetch64_le(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+ return *(const uint64_t *)v;
+#else
+ return bswap64(*(const uint64_t *)v);
+#endif
+}
+#endif /* fetch64_le */
+
+#ifndef fetch32_le
+static __always_inline uint32_t fetch32_le(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+ return *(const uint32_t *)v;
+#else
+ return bswap32(*(const uint32_t *)v);
+#endif
+}
+#endif /* fetch32_le */
+
+#ifndef fetch16_le
+static __always_inline uint16_t fetch16_le(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+ return *(const uint16_t *)v;
+#else
+ return bswap16(*(const uint16_t *)v);
+#endif
+}
+#endif /* fetch16_le */
+
+#if T1HA_USE_FAST_ONESHOT_READ && UNALIGNED_OK && defined(PAGESIZE) && \
+ PAGESIZE > 0 && !defined(__SANITIZE_ADDRESS__)
+#define can_read_underside(ptr, size) \
+ ((size) <= sizeof(uintptr_t) && ((PAGESIZE - (size)) & (uintptr_t)(ptr)) != 0)
+#endif /* can_fast_read */
+
+static __always_inline uint64_t tail64_le(const void *v, size_t tail) {
+ const uint8_t *p = (const uint8_t *)v;
+#ifdef can_read_underside
+ /* On some systems (e.g. x86) we can perform a 'oneshot' read, which
+ * is little bit faster. Thanks Marcin Żukowski <marcin.zukowski@gmail.com>
+ * for the reminder. */
+ const unsigned offset = (8 - tail) & 7;
+ const unsigned shift = offset << 3;
+ if (likely(can_read_underside(p, 8))) {
+ p -= offset;
+ return fetch64_le(p) >> shift;
+ }
+ return fetch64_le(p) & ((~UINT64_C(0)) >> shift);
+#endif /* 'oneshot' read */
+
+ uint64_t r = 0;
+ switch (tail & 7) {
+#if UNALIGNED_OK && __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+ /* For most CPUs this code is better when not needed
+ * copying for alignment or byte reordering. */
+ case 0:
+ return fetch64_le(p);
+ case 7:
+ r = (uint64_t)p[6] << 8;
+ /* fall through */
+ case 6:
+ r += p[5];
+ r <<= 8;
+ /* fall through */
+ case 5:
+ r += p[4];
+ r <<= 32;
+ /* fall through */
+ case 4:
+ return r + fetch32_le(p);
+ case 3:
+ r = (uint64_t)p[2] << 16;
+ /* fall through */
+ case 2:
+ return r + fetch16_le(p);
+ case 1:
+ return p[0];
+#else
+ /* For most CPUs this code is better than a
+ * copying for alignment and/or byte reordering. */
+ case 0:
+ r = p[7] << 8;
+ /* fall through */
+ case 7:
+ r += p[6];
+ r <<= 8;
+ /* fall through */
+ case 6:
+ r += p[5];
+ r <<= 8;
+ /* fall through */
+ case 5:
+ r += p[4];
+ r <<= 8;
+ /* fall through */
+ case 4:
+ r += p[3];
+ r <<= 8;
+ /* fall through */
+ case 3:
+ r += p[2];
+ r <<= 8;
+ /* fall through */
+ case 2:
+ r += p[1];
+ r <<= 8;
+ /* fall through */
+ case 1:
+ return r + p[0];
+#endif
+ }
+ unreachable();
+}
+
+#ifndef fetch64_be
+static __maybe_unused __always_inline uint64_t fetch64_be(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
+ return *(const uint64_t *)v;
+#else
+ return bswap64(*(const uint64_t *)v);
+#endif
+}
+#endif /* fetch64_be */
+
+#ifndef fetch32_be
+static __maybe_unused __always_inline uint32_t fetch32_be(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
+ return *(const uint32_t *)v;
+#else
+ return bswap32(*(const uint32_t *)v);
+#endif
+}
+#endif /* fetch32_be */
+
+#ifndef fetch16_be
+static __maybe_unused __always_inline uint16_t fetch16_be(const void *v) {
+#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
+ return *(const uint16_t *)v;
+#else
+ return bswap16(*(const uint16_t *)v);
+#endif
+}
+#endif /* fetch16_be */
+
+static __maybe_unused __always_inline uint64_t tail64_be(const void *v,
+ size_t tail) {
+ const uint8_t *p = (const uint8_t *)v;
+#ifdef can_read_underside
+ /* On some systems we can perform a 'oneshot' read, which is little bit
+ * faster. Thanks Marcin Żukowski <marcin.zukowski@gmail.com> for the
+ * reminder. */
+ const unsigned offset = (8 - tail) & 7;
+ const unsigned shift = offset << 3;
+ if (likely(can_read_underside(p, 8))) {
+ p -= offset;
+ return fetch64_be(p) & ((~UINT64_C(0)) >> shift);
+ }
+ return fetch64_be(p) >> shift;
+#endif /* 'oneshot' read */
+
+ switch (tail & 7) {
+#if UNALIGNED_OK && __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__
+ /* For most CPUs this code is better when not needed
+ * copying for alignment or byte reordering. */
+ case 1:
+ return p[0];
+ case 2:
+ return fetch16_be(p);
+ case 3:
+ return (uint32_t)fetch16_be(p) << 8 | p[2];
+ case 4:
+ return fetch32_be(p);
+ case 5:
+ return (uint64_t)fetch32_be(p) << 8 | p[4];
+ case 6:
+ return (uint64_t)fetch32_be(p) << 16 | fetch16_be(p + 4);
+ case 7:
+ return (uint64_t)fetch32_be(p) << 24 | (uint32_t)fetch16_be(p + 4) << 8 |
+ p[6];
+ case 0:
+ return fetch64_be(p);
+#else
+ /* For most CPUs this code is better than a
+ * copying for alignment and/or byte reordering. */
+ case 1:
+ return p[0];
+ case 2:
+ return p[1] | (uint32_t)p[0] << 8;
+ case 3:
+ return p[2] | (uint32_t)p[1] << 8 | (uint32_t)p[0] << 16;
+ case 4:
+ return p[3] | (uint32_t)p[2] << 8 | (uint32_t)p[1] << 16 |
+ (uint32_t)p[0] << 24;
+ case 5:
+ return p[4] | (uint32_t)p[3] << 8 | (uint32_t)p[2] << 16 |
+ (uint32_t)p[1] << 24 | (uint64_t)p[0] << 32;
+ case 6:
+ return p[5] | (uint32_t)p[4] << 8 | (uint32_t)p[3] << 16 |
+ (uint32_t)p[2] << 24 | (uint64_t)p[1] << 32 | (uint64_t)p[0] << 40;
+ case 7:
+ return p[6] | (uint32_t)p[5] << 8 | (uint32_t)p[4] << 16 |
+ (uint32_t)p[3] << 24 | (uint64_t)p[2] << 32 | (uint64_t)p[1] << 40 |
+ (uint64_t)p[0] << 48;
+ case 0:
+ return p[7] | (uint32_t)p[6] << 8 | (uint32_t)p[5] << 16 |
+ (uint32_t)p[4] << 24 | (uint64_t)p[3] << 32 | (uint64_t)p[2] << 40 |
+ (uint64_t)p[1] << 48 | (uint64_t)p[0] << 56;
+#endif
+ }
+ unreachable();
+}
+
+/***************************************************************************/
+
+#ifndef rot64
+static __always_inline uint64_t rot64(uint64_t v, unsigned s) {
+ return (v >> s) | (v << (64 - s));
+}
+#endif /* rot64 */
+
+#ifndef mul_32x32_64
+static __always_inline uint64_t mul_32x32_64(uint32_t a, uint32_t b) {
+ return a * (uint64_t)b;
+}
+#endif /* mul_32x32_64 */
+
+#ifndef add64carry_first
+static __maybe_unused __always_inline unsigned
+add64carry_first(uint64_t base, uint64_t addend, uint64_t *sum) {
+#if __has_builtin(__builtin_addcll)
+ unsigned long long carryout;
+ *sum = __builtin_addcll(base, addend, 0, &carryout);
+ return (unsigned)carryout;
+#else
+ *sum = base + addend;
+ return *sum < addend;
+#endif /* __has_builtin(__builtin_addcll) */
+}
+#endif /* add64carry_fist */
+
+#ifndef add64carry_next
+static __maybe_unused __always_inline unsigned
+add64carry_next(unsigned carry, uint64_t base, uint64_t addend, uint64_t *sum) {
+#if __has_builtin(__builtin_addcll)
+ unsigned long long carryout;
+ *sum = __builtin_addcll(base, addend, carry, &carryout);
+ return (unsigned)carryout;
+#else
+ *sum = base + addend + carry;
+ return *sum < addend || (carry && *sum == addend);
+#endif /* __has_builtin(__builtin_addcll) */
+}
+#endif /* add64carry_next */
+
+#ifndef add64carry_last
+static __maybe_unused __always_inline void
+add64carry_last(unsigned carry, uint64_t base, uint64_t addend, uint64_t *sum) {
+#if __has_builtin(__builtin_addcll)
+ unsigned long long carryout;
+ *sum = __builtin_addcll(base, addend, carry, &carryout);
+ (void)carryout;
+#else
+ *sum = base + addend + carry;
+#endif /* __has_builtin(__builtin_addcll) */
+}
+#endif /* add64carry_last */
+
+#ifndef mul_64x64_128
+static __maybe_unused __always_inline uint64_t mul_64x64_128(uint64_t a,
+ uint64_t b,
+ uint64_t *h) {
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ __uint128_t r = (__uint128_t)a * (__uint128_t)b;
+ /* modern GCC could nicely optimize this */
+ *h = (uint64_t)(r >> 64);
+ return (uint64_t)r;
+#elif defined(mul_64x64_high)
+ *h = mul_64x64_high(a, b);
+ return a * b;
+#else
+ /* performs 64x64 to 128 bit multiplication */
+ const uint64_t ll = mul_32x32_64((uint32_t)a, (uint32_t)b);
+ const uint64_t lh = mul_32x32_64(a >> 32, (uint32_t)b);
+ const uint64_t hl = mul_32x32_64((uint32_t)a, b >> 32);
+ const uint64_t hh = mul_32x32_64(a >> 32, b >> 32);
+
+ /* Few simplification are possible here for 32-bit architectures,
+ * but thus we would lost compatibility with the original 64-bit
+ * version. Think is very bad idea, because then 32-bit t1ha will
+ * still (relatively) very slowly and well yet not compatible. */
+ uint64_t l;
+ add64carry_last(add64carry_first(ll, lh << 32, &l), hh, lh >> 32, h);
+ add64carry_last(add64carry_first(l, hl << 32, &l), *h, hl >> 32, h);
+ return l;
+#endif
+}
+#endif /* mul_64x64_128() */
+
+#ifndef mul_64x64_high
+static __maybe_unused __always_inline uint64_t mul_64x64_high(uint64_t a,
+ uint64_t b) {
+ uint64_t h;
+ mul_64x64_128(a, b, &h);
+ return h;
+}
+#endif /* mul_64x64_high */
+
+/***************************************************************************/
+
+/* 'magic' primes */
+static const uint64_t prime_0 = UINT64_C(0xEC99BF0D8372CAAB);
+static const uint64_t prime_1 = UINT64_C(0x82434FE90EDCEF39);
+static const uint64_t prime_2 = UINT64_C(0xD4F06DB99D67BE4B);
+static const uint64_t prime_3 = UINT64_C(0xBD9CACC22C6E9571);
+static const uint64_t prime_4 = UINT64_C(0x9C06FAF4D023E3AB);
+static const uint64_t prime_5 = UINT64_C(0xC060724A8424F345);
+static const uint64_t prime_6 = UINT64_C(0xCB5AF53AE3AAAC31);
+
+/* xor high and low parts of full 128-bit product */
+static __maybe_unused __always_inline uint64_t mux64(uint64_t v,
+ uint64_t prime) {
+ uint64_t l, h;
+ l = mul_64x64_128(v, prime, &h);
+ return l ^ h;
+}
+
+static __always_inline uint64_t final64(uint64_t a, uint64_t b) {
+ uint64_t x = (a + rot64(b, 41)) * prime_0;
+ uint64_t y = (rot64(a, 23) + b) * prime_6;
+ return mux64(x ^ y, prime_5);
+}
+
+static __always_inline void mixup64(uint64_t *__restrict a,
+ uint64_t *__restrict b, uint64_t v,
+ uint64_t prime) {
+ uint64_t h;
+ *a ^= mul_64x64_128(*b + v, prime, &h);
+ *b += h;
+}
+
+/***************************************************************************/
+
+typedef union t1ha_uint128 {
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ __uint128_t v;
+#endif
+ struct {
+#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+ uint64_t l, h;
+#else
+ uint64_t h, l;
+#endif
+ };
+} t1ha_uint128_t;
+
+static __always_inline t1ha_uint128_t not128(const t1ha_uint128_t v) {
+ t1ha_uint128_t r;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = ~v.v;
+#else
+ r.l = ~v.l;
+ r.h = ~v.h;
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t left128(const t1ha_uint128_t v,
+ unsigned s) {
+ t1ha_uint128_t r;
+ assert(s < 128);
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = v.v << s;
+#else
+ r.l = (s < 64) ? v.l << s : 0;
+ r.h = (s < 64) ? (v.h << s) | (s ? v.l >> (64 - s) : 0) : v.l << (s - 64);
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t right128(const t1ha_uint128_t v,
+ unsigned s) {
+ t1ha_uint128_t r;
+ assert(s < 128);
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = v.v >> s;
+#else
+ r.l = (s < 64) ? (s ? v.h << (64 - s) : 0) | (v.l >> s) : v.h >> (s - 64);
+ r.h = (s < 64) ? v.h >> s : 0;
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t or128(t1ha_uint128_t x,
+ t1ha_uint128_t y) {
+ t1ha_uint128_t r;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = x.v | y.v;
+#else
+ r.l = x.l | y.l;
+ r.h = x.h | y.h;
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t xor128(t1ha_uint128_t x,
+ t1ha_uint128_t y) {
+ t1ha_uint128_t r;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = x.v ^ y.v;
+#else
+ r.l = x.l ^ y.l;
+ r.h = x.h ^ y.h;
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t rot128(t1ha_uint128_t v, unsigned s) {
+ s &= 127;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ v.v = (v.v << (128 - s)) | (v.v >> s);
+ return v;
+#else
+ return s ? or128(left128(v, 128 - s), right128(v, s)) : v;
+#endif
+}
+
+static __always_inline t1ha_uint128_t add128(t1ha_uint128_t x,
+ t1ha_uint128_t y) {
+ t1ha_uint128_t r;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = x.v + y.v;
+#else
+ add64carry_last(add64carry_first(x.l, y.l, &r.l), x.h, y.h, &r.h);
+#endif
+ return r;
+}
+
+static __always_inline t1ha_uint128_t mul128(t1ha_uint128_t x,
+ t1ha_uint128_t y) {
+ t1ha_uint128_t r;
+#if defined(__SIZEOF_INT128__) || \
+ (defined(_INTEGRAL_MAX_BITS) && _INTEGRAL_MAX_BITS >= 128)
+ r.v = x.v * y.v;
+#else
+ r.l = mul_64x64_128(x.l, y.l, &r.h);
+ r.h += x.l * y.h + y.l * x.h;
+#endif
+ return r;
+}