+++ /dev/null
-/** @file
- * IPRT - Assembly Routines for Optimizing some Integers Math Operations.
- */
-
-/*
- * Copyright (C) 2006-2016 Oracle Corporation
- *
- * This file is part of VirtualBox Open Source Edition (OSE), as
- * available from http://www.virtualbox.org. This file is free software;
- * you can redistribute it and/or modify it under the terms of the GNU
- * General Public License (GPL) as published by the Free Software
- * Foundation, in version 2 as it comes in the "COPYING" file of the
- * VirtualBox OSE distribution. VirtualBox OSE is distributed in the
- * hope that it will be useful, but WITHOUT ANY WARRANTY of any kind.
- *
- * The contents of this file may alternatively be used under the terms
- * of the Common Development and Distribution License Version 1.0
- * (CDDL) only, as it comes in the "COPYING.CDDL" file of the
- * VirtualBox OSE distribution, in which case the provisions of the
- * CDDL are applicable instead of those of the GPL.
- *
- * You may elect to license modified versions of this file under the
- * terms and conditions of either the GPL or the CDDL or both.
- */
-
-#ifndef ___iprt_asm_math_h
-#define ___iprt_asm_math_h
-
-#include <iprt/types.h>
-
-#if defined(_MSC_VER) && RT_INLINE_ASM_USES_INTRIN
-# pragma warning(push)
-# pragma warning(disable:4668) /* Several incorrect __cplusplus uses. */
-# pragma warning(disable:4255) /* Incorrect __slwpcb prototype. */
-# include <intrin.h>
-# pragma warning(pop)
- /* Emit the intrinsics at all optimization levels. */
-# pragma intrinsic(__emul)
-# pragma intrinsic(__emulu)
-# ifdef RT_ARCH_AMD64
-# pragma intrinsic(_mul128)
-# pragma intrinsic(_umul128)
-# endif
-#endif
-
-
-/** @defgroup grp_rt_asm_math Interger Math Optimizations
- * @ingroup grp_rt_asm
- * @{ */
-
-/**
- * Multiplies two unsigned 32-bit values returning an unsigned 64-bit result.
- *
- * @returns u32F1 * u32F2.
- */
-
-#if RT_INLINE_ASM_EXTERNAL && !RT_INLINE_ASM_USES_INTRIN && defined(RT_ARCH_X86)
-DECLASM(uint64_t) ASMMult2xU32RetU64(uint32_t u32F1, uint32_t u32F2);
-#else
-DECLINLINE(uint64_t) ASMMult2xU32RetU64(uint32_t u32F1, uint32_t u32F2)
-{
-# ifdef RT_ARCH_X86
- uint64_t u64;
-# if RT_INLINE_ASM_GNU_STYLE
- __asm__ __volatile__("mull %%edx"
- : "=A" (u64)
- : "a" (u32F2), "d" (u32F1));
-# elif RT_INLINE_ASM_USES_INTRIN
- u64 = __emulu(u32F1, u32F2);
-# else
- __asm
- {
- mov edx, [u32F1]
- mov eax, [u32F2]
- mul edx
- mov dword ptr [u64], eax
- mov dword ptr [u64 + 4], edx
- }
-# endif
- return u64;
-# else /* generic: */
- return (uint64_t)u32F1 * u32F2;
-# endif
-}
-#endif
-
-
-/**
- * Multiplies two signed 32-bit values returning a signed 64-bit result.
- *
- * @returns u32F1 * u32F2.
- */
-#if RT_INLINE_ASM_EXTERNAL && !RT_INLINE_ASM_USES_INTRIN && defined(RT_ARCH_X86)
-DECLASM(int64_t) ASMMult2xS32RetS64(int32_t i32F1, int32_t i32F2);
-#else
-DECLINLINE(int64_t) ASMMult2xS32RetS64(int32_t i32F1, int32_t i32F2)
-{
-# ifdef RT_ARCH_X86
- int64_t i64;
-# if RT_INLINE_ASM_GNU_STYLE
- __asm__ __volatile__("imull %%edx"
- : "=A" (i64)
- : "a" (i32F2), "d" (i32F1));
-# elif RT_INLINE_ASM_USES_INTRIN
- i64 = __emul(i32F1, i32F2);
-# else
- __asm
- {
- mov edx, [i32F1]
- mov eax, [i32F2]
- imul edx
- mov dword ptr [i64], eax
- mov dword ptr [i64 + 4], edx
- }
-# endif
- return i64;
-# else /* generic: */
- return (int64_t)i32F1 * i32F2;
-# endif
-}
-#endif
-
-
-#if ARCH_BITS == 64
-DECLINLINE(uint64_t) ASMMult2xU64Ret2xU64(uint64_t u64F1, uint64_t u64F2, uint64_t *pu64ProdHi)
-{
-# if defined(RT_ARCH_AMD64) && (RT_INLINE_ASM_GNU_STYLE || RT_INLINE_ASM_USES_INTRIN)
-# if RT_INLINE_ASM_GNU_STYLE
- uint64_t u64Low, u64High;
- __asm__ __volatile__("mulq %%rdx"
- : "=a" (u64Low), "=d" (u64High)
- : "0" (u64F1), "1" (u64F2));
- *pu64ProdHi = u64High;
- return u64Low;
-# elif RT_INLINE_ASM_USES_INTRIN
- return _umul128(u64F1, u64F2, pu64ProdHi);
-# else
-# error "hmm"
-# endif
-# else /* generic: */
- /*
- * F1 * F2 = Prod
- * -- --
- * ab * cd = b*d + a*d*10 + b*c*10 + a*c*100
- *
- * Where a, b, c and d are 'digits', and 10 is max digit + 1.
- *
- * Our digits are 32-bit wide, so instead of 10 we multiply by 4G.
- * Prod = F1.s.Lo*F2.s.Lo + F1.s.Hi*F2.s.Lo*4G
- * + F1.s.Lo*F2.s.Hi*4G + F1.s.Hi*F2.s.Hi*4G*4G
- */
- RTUINT128U Prod;
- RTUINT64U Tmp1;
- uint64_t u64Tmp;
- RTUINT64U F1, F2;
- F1.u = u64F1;
- F2.u = u64F2;
-
- Prod.s.Lo = ASMMult2xU32RetU64(F1.s.Lo, F2.s.Lo);
-
- Tmp1.u = ASMMult2xU32RetU64(F1.s.Hi, F2.s.Lo);
- u64Tmp = (uint64_t)Prod.DWords.dw1 + Tmp1.s.Lo;
- Prod.DWords.dw1 = (uint32_t)u64Tmp;
- Prod.s.Hi = Tmp1.s.Hi;
- Prod.s.Hi += u64Tmp >> 32; /* carry */
-
- Tmp1.u = ASMMult2xU32RetU64(F1.s.Lo, F2.s.Hi);
- u64Tmp = (uint64_t)Prod.DWords.dw1 + Tmp1.s.Lo;
- Prod.DWords.dw1 = (uint32_t)u64Tmp;
- u64Tmp >>= 32; /* carry */
- u64Tmp += Prod.DWords.dw2;
- u64Tmp += Tmp1.s.Hi;
- Prod.DWords.dw2 = (uint32_t)u64Tmp;
- Prod.DWords.dw3 += u64Tmp >> 32; /* carry */
-
- Prod.s.Hi += ASMMult2xU32RetU64(F1.s.Hi, F2.s.Hi);
- *pu64ProdHi = Prod.s.Hi;
- return Prod.s.Lo;
-# endif
-}
-#endif
-
-
-
-/**
- * Divides a 64-bit unsigned by a 32-bit unsigned returning an unsigned 32-bit result.
- *
- * @returns u64 / u32.
- */
-#if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
-DECLASM(uint32_t) ASMDivU64ByU32RetU32(uint64_t u64, uint32_t u32);
-#else
-DECLINLINE(uint32_t) ASMDivU64ByU32RetU32(uint64_t u64, uint32_t u32)
-{
-# ifdef RT_ARCH_X86
-# if RT_INLINE_ASM_GNU_STYLE
- RTCCUINTREG uDummy;
- __asm__ __volatile__("divl %3"
- : "=a" (u32), "=d"(uDummy)
- : "A" (u64), "r" (u32));
-# else
- __asm
- {
- mov eax, dword ptr [u64]
- mov edx, dword ptr [u64 + 4]
- mov ecx, [u32]
- div ecx
- mov [u32], eax
- }
-# endif
- return u32;
-# else /* generic: */
- return (uint32_t)(u64 / u32);
-# endif
-}
-#endif
-
-
-/**
- * Divides a 64-bit signed by a 32-bit signed returning a signed 32-bit result.
- *
- * @returns u64 / u32.
- */
-#if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
-DECLASM(int32_t) ASMDivS64ByS32RetS32(int64_t i64, int32_t i32);
-#else
-DECLINLINE(int32_t) ASMDivS64ByS32RetS32(int64_t i64, int32_t i32)
-{
-# ifdef RT_ARCH_X86
-# if RT_INLINE_ASM_GNU_STYLE
- RTCCUINTREG iDummy;
- __asm__ __volatile__("idivl %3"
- : "=a" (i32), "=d"(iDummy)
- : "A" (i64), "r" (i32));
-# else
- __asm
- {
- mov eax, dword ptr [i64]
- mov edx, dword ptr [i64 + 4]
- mov ecx, [i32]
- idiv ecx
- mov [i32], eax
- }
-# endif
- return i32;
-# else /* generic: */
- return (int32_t)(i64 / i32);
-# endif
-}
-#endif
-
-
-/**
- * Performs 64-bit unsigned by a 32-bit unsigned division with a 32-bit unsigned result,
- * returning the rest.
- *
- * @returns u64 % u32.
- *
- * @remarks It is important that the result is <= UINT32_MAX or we'll overflow and crash.
- */
-#if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
-DECLASM(uint32_t) ASMModU64ByU32RetU32(uint64_t u64, uint32_t u32);
-#else
-DECLINLINE(uint32_t) ASMModU64ByU32RetU32(uint64_t u64, uint32_t u32)
-{
-# ifdef RT_ARCH_X86
-# if RT_INLINE_ASM_GNU_STYLE
- RTCCUINTREG uDummy;
- __asm__ __volatile__("divl %3"
- : "=a" (uDummy), "=d"(u32)
- : "A" (u64), "r" (u32));
-# else
- __asm
- {
- mov eax, dword ptr [u64]
- mov edx, dword ptr [u64 + 4]
- mov ecx, [u32]
- div ecx
- mov [u32], edx
- }
-# endif
- return u32;
-# else /* generic: */
- return (uint32_t)(u64 % u32);
-# endif
-}
-#endif
-
-
-/**
- * Performs 64-bit signed by a 32-bit signed division with a 32-bit signed result,
- * returning the rest.
- *
- * @returns u64 % u32.
- *
- * @remarks It is important that the result is <= UINT32_MAX or we'll overflow and crash.
- */
-#if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
-DECLASM(int32_t) ASMModS64ByS32RetS32(int64_t i64, int32_t i32);
-#else
-DECLINLINE(int32_t) ASMModS64ByS32RetS32(int64_t i64, int32_t i32)
-{
-# ifdef RT_ARCH_X86
-# if RT_INLINE_ASM_GNU_STYLE
- RTCCUINTREG iDummy;
- __asm__ __volatile__("idivl %3"
- : "=a" (iDummy), "=d"(i32)
- : "A" (i64), "r" (i32));
-# else
- __asm
- {
- mov eax, dword ptr [i64]
- mov edx, dword ptr [i64 + 4]
- mov ecx, [i32]
- idiv ecx
- mov [i32], edx
- }
-# endif
- return i32;
-# else /* generic: */
- return (int32_t)(i64 % i32);
-# endif
-}
-#endif
-
-
-/**
- * Multiple a 32-bit by a 32-bit integer and divide the result by a 32-bit integer
- * using a 64 bit intermediate result.
- *
- * @returns (u32A * u32B) / u32C.
- * @param u32A The 32-bit value (A).
- * @param u32B The 32-bit value to multiple by A.
- * @param u32C The 32-bit value to divide A*B by.
- *
- * @remarks Architecture specific.
- * @remarks Make sure the result won't ever exceed 32-bit, because hardware
- * exception may be raised if it does.
- * @remarks On x86 this may be used to avoid dragging in 64-bit builtin
- * arithmetics functions.
- */
-#if RT_INLINE_ASM_EXTERNAL && (defined(RT_ARCH_AMD64) || defined(RT_ARCH_X86))
-DECLASM(uint32_t) ASMMultU32ByU32DivByU32(uint32_t u32A, uint32_t u32B, uint32_t u32C);
-#else
-DECLINLINE(uint32_t) ASMMultU32ByU32DivByU32(uint32_t u32A, uint32_t u32B, uint32_t u32C)
-{
-# if RT_INLINE_ASM_GNU_STYLE && (defined(RT_ARCH_AMD64) || defined(RT_ARCH_X86))
- uint32_t u32Result, u32Spill;
- __asm__ __volatile__("mull %2\n\t"
- "divl %3\n\t"
- : "=&a" (u32Result),
- "=&d" (u32Spill)
- : "r" (u32B),
- "r" (u32C),
- "0" (u32A));
- return u32Result;
-# else
- return (uint32_t)(((uint64_t)u32A * u32B) / u32C);
-# endif
-}
-#endif
-
-
-/**
- * Multiple a 64-bit by a 32-bit integer and divide the result by a 32-bit integer
- * using a 96 bit intermediate result.
- *
- * @returns (u64A * u32B) / u32C.
- * @param u64A The 64-bit value.
- * @param u32B The 32-bit value to multiple by A.
- * @param u32C The 32-bit value to divide A*B by.
- *
- * @remarks Architecture specific.
- * @remarks Make sure the result won't ever exceed 64-bit, because hardware
- * exception may be raised if it does.
- * @remarks On x86 this may be used to avoid dragging in 64-bit builtin
- * arithmetics function.
- */
-#if RT_INLINE_ASM_EXTERNAL || !defined(__GNUC__) || (!defined(RT_ARCH_AMD64) && !defined(RT_ARCH_X86))
-DECLASM(uint64_t) ASMMultU64ByU32DivByU32(uint64_t u64A, uint32_t u32B, uint32_t u32C);
-#else
-DECLINLINE(uint64_t) ASMMultU64ByU32DivByU32(uint64_t u64A, uint32_t u32B, uint32_t u32C)
-{
-# if RT_INLINE_ASM_GNU_STYLE
-# ifdef RT_ARCH_AMD64
- uint64_t u64Result, u64Spill;
- __asm__ __volatile__("mulq %2\n\t"
- "divq %3\n\t"
- : "=&a" (u64Result),
- "=&d" (u64Spill)
- : "r" ((uint64_t)u32B),
- "r" ((uint64_t)u32C),
- "0" (u64A));
- return u64Result;
-# else
- uint32_t u32Dummy;
- uint64_t u64Result;
- __asm__ __volatile__("mull %%ecx \n\t" /* eax = u64Lo.lo = (u64A.lo * u32B).lo
- edx = u64Lo.hi = (u64A.lo * u32B).hi */
- "xchg %%eax,%%esi \n\t" /* esi = u64Lo.lo
- eax = u64A.hi */
- "xchg %%edx,%%edi \n\t" /* edi = u64Low.hi
- edx = u32C */
- "xchg %%edx,%%ecx \n\t" /* ecx = u32C
- edx = u32B */
- "mull %%edx \n\t" /* eax = u64Hi.lo = (u64A.hi * u32B).lo
- edx = u64Hi.hi = (u64A.hi * u32B).hi */
- "addl %%edi,%%eax \n\t" /* u64Hi.lo += u64Lo.hi */
- "adcl $0,%%edx \n\t" /* u64Hi.hi += carry */
- "divl %%ecx \n\t" /* eax = u64Hi / u32C
- edx = u64Hi % u32C */
- "movl %%eax,%%edi \n\t" /* edi = u64Result.hi = u64Hi / u32C */
- "movl %%esi,%%eax \n\t" /* eax = u64Lo.lo */
- "divl %%ecx \n\t" /* u64Result.lo */
- "movl %%edi,%%edx \n\t" /* u64Result.hi */
- : "=A"(u64Result), "=c"(u32Dummy),
- "=S"(u32Dummy), "=D"(u32Dummy)
- : "a"((uint32_t)u64A),
- "S"((uint32_t)(u64A >> 32)),
- "c"(u32B),
- "D"(u32C));
- return u64Result;
-# endif
-# else
- RTUINT64U u;
- uint64_t u64Lo = (uint64_t)(u64A & 0xffffffff) * u32B;
- uint64_t u64Hi = (uint64_t)(u64A >> 32) * u32B;
- u64Hi += (u64Lo >> 32);
- u.s.Hi = (uint32_t)(u64Hi / u32C);
- u.s.Lo = (uint32_t)((((u64Hi % u32C) << 32) + (u64Lo & 0xffffffff)) / u32C);
- return u.u;
-# endif
-}
-#endif
-
-/** @} */
-#endif
-
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