1 | /** @file
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2 | * IPRT - Assembly Routines for Optimizing some Integers Math Operations.
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3 | */
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4 |
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5 | /*
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6 | * Copyright (C) 2006-2010 Oracle Corporation
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7 | *
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8 | * This file is part of VirtualBox Open Source Edition (OSE), as
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9 | * available from http://www.virtualbox.org. This file is free software;
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10 | * you can redistribute it and/or modify it under the terms of the GNU
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11 | * General Public License (GPL) as published by the Free Software
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12 | * Foundation, in version 2 as it comes in the "COPYING" file of the
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13 | * VirtualBox OSE distribution. VirtualBox OSE is distributed in the
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14 | * hope that it will be useful, but WITHOUT ANY WARRANTY of any kind.
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15 | *
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16 | * The contents of this file may alternatively be used under the terms
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17 | * of the Common Development and Distribution License Version 1.0
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18 | * (CDDL) only, as it comes in the "COPYING.CDDL" file of the
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19 | * VirtualBox OSE distribution, in which case the provisions of the
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20 | * CDDL are applicable instead of those of the GPL.
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21 | *
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22 | * You may elect to license modified versions of this file under the
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23 | * terms and conditions of either the GPL or the CDDL or both.
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24 | */
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25 |
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26 | #ifndef ___iprt_asm_math_h
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27 | #define ___iprt_asm_math_h
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28 |
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29 | #include <iprt/types.h>
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30 |
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31 |
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32 | /** @defgroup grp_rt_asm_math Interger Math Optimizations
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33 | * @ingroup grp_rt_asm
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34 | * @{ */
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35 |
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36 | /**
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37 | * Multiplies two unsigned 32-bit values returning an unsigned 64-bit result.
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38 | *
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39 | * @returns u32F1 * u32F2.
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40 | */
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41 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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42 | DECLASM(uint64_t) ASMMult2xU32RetU64(uint32_t u32F1, uint32_t u32F2);
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43 | #else
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44 | DECLINLINE(uint64_t) ASMMult2xU32RetU64(uint32_t u32F1, uint32_t u32F2)
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45 | {
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46 | # ifdef RT_ARCH_X86
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47 | uint64_t u64;
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48 | # if RT_INLINE_ASM_GNU_STYLE
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49 | __asm__ __volatile__("mull %%edx"
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50 | : "=A" (u64)
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51 | : "a" (u32F2), "d" (u32F1));
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52 | # else
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53 | __asm
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54 | {
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55 | mov edx, [u32F1]
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56 | mov eax, [u32F2]
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57 | mul edx
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58 | mov dword ptr [u64], eax
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59 | mov dword ptr [u64 + 4], edx
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60 | }
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61 | # endif
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62 | return u64;
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63 | # else /* generic: */
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64 | return (uint64_t)u32F1 * u32F2;
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65 | # endif
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66 | }
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67 | #endif
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68 |
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69 |
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70 | /**
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71 | * Multiplies two signed 32-bit values returning a signed 64-bit result.
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72 | *
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73 | * @returns u32F1 * u32F2.
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74 | */
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75 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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76 | DECLASM(int64_t) ASMMult2xS32RetS64(int32_t i32F1, int32_t i32F2);
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77 | #else
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78 | DECLINLINE(int64_t) ASMMult2xS32RetS64(int32_t i32F1, int32_t i32F2)
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79 | {
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80 | # ifdef RT_ARCH_X86
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81 | int64_t i64;
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82 | # if RT_INLINE_ASM_GNU_STYLE
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83 | __asm__ __volatile__("imull %%edx"
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84 | : "=A" (i64)
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85 | : "a" (i32F2), "d" (i32F1));
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86 | # else
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87 | __asm
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88 | {
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89 | mov edx, [i32F1]
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90 | mov eax, [i32F2]
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91 | imul edx
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92 | mov dword ptr [i64], eax
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93 | mov dword ptr [i64 + 4], edx
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94 | }
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95 | # endif
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96 | return i64;
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97 | # else /* generic: */
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98 | return (int64_t)i32F1 * i32F2;
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99 | # endif
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100 | }
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101 | #endif
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102 |
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103 |
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104 | /**
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105 | * Divides a 64-bit unsigned by a 32-bit unsigned returning an unsigned 32-bit result.
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106 | *
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107 | * @returns u64 / u32.
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108 | */
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109 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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110 | DECLASM(uint32_t) ASMDivU64ByU32RetU32(uint64_t u64, uint32_t u32);
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111 | #else
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112 | DECLINLINE(uint32_t) ASMDivU64ByU32RetU32(uint64_t u64, uint32_t u32)
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113 | {
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114 | # ifdef RT_ARCH_X86
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115 | # if RT_INLINE_ASM_GNU_STYLE
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116 | RTCCUINTREG uDummy;
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117 | __asm__ __volatile__("divl %3"
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118 | : "=a" (u32), "=d"(uDummy)
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119 | : "A" (u64), "r" (u32));
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120 | # else
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121 | __asm
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122 | {
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123 | mov eax, dword ptr [u64]
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124 | mov edx, dword ptr [u64 + 4]
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125 | mov ecx, [u32]
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126 | div ecx
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127 | mov [u32], eax
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128 | }
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129 | # endif
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130 | return u32;
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131 | # else /* generic: */
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132 | return (uint32_t)(u64 / u32);
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133 | # endif
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134 | }
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135 | #endif
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136 |
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137 |
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138 | /**
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139 | * Divides a 64-bit signed by a 32-bit signed returning a signed 32-bit result.
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140 | *
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141 | * @returns u64 / u32.
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142 | */
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143 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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144 | DECLASM(int32_t) ASMDivS64ByS32RetS32(int64_t i64, int32_t i32);
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145 | #else
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146 | DECLINLINE(int32_t) ASMDivS64ByS32RetS32(int64_t i64, int32_t i32)
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147 | {
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148 | # ifdef RT_ARCH_X86
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149 | # if RT_INLINE_ASM_GNU_STYLE
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150 | RTCCUINTREG iDummy;
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151 | __asm__ __volatile__("idivl %3"
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152 | : "=a" (i32), "=d"(iDummy)
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153 | : "A" (i64), "r" (i32));
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154 | # else
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155 | __asm
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156 | {
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157 | mov eax, dword ptr [i64]
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158 | mov edx, dword ptr [i64 + 4]
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159 | mov ecx, [i32]
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160 | idiv ecx
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161 | mov [i32], eax
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162 | }
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163 | # endif
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164 | return i32;
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165 | # else /* generic: */
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166 | return (int32_t)(i64 / i32);
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167 | # endif
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168 | }
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169 | #endif
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170 |
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171 |
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172 | /**
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173 | * Performs 64-bit unsigned by a 32-bit unsigned division with a 32-bit unsigned result,
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174 | * returning the rest.
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175 | *
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176 | * @returns u64 % u32.
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177 | *
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178 | * @remarks It is important that the result is <= UINT32_MAX or we'll overflow and crash.
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179 | */
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180 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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181 | DECLASM(uint32_t) ASMModU64ByU32RetU32(uint64_t u64, uint32_t u32);
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182 | #else
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183 | DECLINLINE(uint32_t) ASMModU64ByU32RetU32(uint64_t u64, uint32_t u32)
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184 | {
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185 | # ifdef RT_ARCH_X86
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186 | # if RT_INLINE_ASM_GNU_STYLE
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187 | RTCCUINTREG uDummy;
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188 | __asm__ __volatile__("divl %3"
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189 | : "=a" (uDummy), "=d"(u32)
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190 | : "A" (u64), "r" (u32));
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191 | # else
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192 | __asm
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193 | {
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194 | mov eax, dword ptr [u64]
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195 | mov edx, dword ptr [u64 + 4]
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196 | mov ecx, [u32]
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197 | div ecx
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198 | mov [u32], edx
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199 | }
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200 | # endif
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201 | return u32;
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202 | # else /* generic: */
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203 | return (uint32_t)(u64 % u32);
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204 | # endif
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205 | }
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206 | #endif
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207 |
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208 |
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209 | /**
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210 | * Performs 64-bit signed by a 32-bit signed division with a 32-bit signed result,
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211 | * returning the rest.
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212 | *
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213 | * @returns u64 % u32.
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214 | *
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215 | * @remarks It is important that the result is <= UINT32_MAX or we'll overflow and crash.
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216 | */
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217 | #if RT_INLINE_ASM_EXTERNAL && defined(RT_ARCH_X86)
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218 | DECLASM(int32_t) ASMModS64ByS32RetS32(int64_t i64, int32_t i32);
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219 | #else
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220 | DECLINLINE(int32_t) ASMModS64ByS32RetS32(int64_t i64, int32_t i32)
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221 | {
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222 | # ifdef RT_ARCH_X86
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223 | # if RT_INLINE_ASM_GNU_STYLE
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224 | RTCCUINTREG iDummy;
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225 | __asm__ __volatile__("idivl %3"
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226 | : "=a" (iDummy), "=d"(i32)
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227 | : "A" (i64), "r" (i32));
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228 | # else
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229 | __asm
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230 | {
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231 | mov eax, dword ptr [i64]
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232 | mov edx, dword ptr [i64 + 4]
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233 | mov ecx, [i32]
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234 | idiv ecx
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235 | mov [i32], edx
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236 | }
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237 | # endif
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238 | return i32;
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239 | # else /* generic: */
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240 | return (int32_t)(i64 % i32);
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241 | # endif
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242 | }
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243 | #endif
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244 |
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245 |
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246 | /**
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247 | * Multiple a 64-bit by a 32-bit integer and divide the result by a 32-bit integer
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248 | * using a 96 bit intermediate result.
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249 | * @note Don't use 64-bit C arithmetic here since some gcc compilers generate references to
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250 | * __udivdi3 and __umoddi3 even if this inline function is not used.
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251 | *
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252 | * @returns (u64A * u32B) / u32C.
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253 | * @param u64A The 64-bit value.
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254 | * @param u32B The 32-bit value to multiple by A.
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255 | * @param u32C The 32-bit value to divide A*B by.
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256 | *
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257 | * @remarks Architecture specific.
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258 | */
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259 | #if RT_INLINE_ASM_EXTERNAL || !defined(__GNUC__) || (!defined(RT_ARCH_AMD64) && !defined(RT_ARCH_X86))
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260 | DECLASM(uint64_t) ASMMultU64ByU32DivByU32(uint64_t u64A, uint32_t u32B, uint32_t u32C);
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261 | #else
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262 | DECLINLINE(uint64_t) ASMMultU64ByU32DivByU32(uint64_t u64A, uint32_t u32B, uint32_t u32C)
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263 | {
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264 | # if RT_INLINE_ASM_GNU_STYLE
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265 | # ifdef RT_ARCH_AMD64
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266 | uint64_t u64Result, u64Spill;
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267 | __asm__ __volatile__("mulq %2\n\t"
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268 | "divq %3\n\t"
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269 | : "=a" (u64Result),
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270 | "=d" (u64Spill)
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271 | : "r" ((uint64_t)u32B),
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272 | "r" ((uint64_t)u32C),
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273 | "0" (u64A),
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274 | "1" (0));
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275 | return u64Result;
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276 | # else
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277 | uint32_t u32Dummy;
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278 | uint64_t u64Result;
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279 | __asm__ __volatile__("mull %%ecx \n\t" /* eax = u64Lo.lo = (u64A.lo * u32B).lo
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280 | edx = u64Lo.hi = (u64A.lo * u32B).hi */
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281 | "xchg %%eax,%%esi \n\t" /* esi = u64Lo.lo
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282 | eax = u64A.hi */
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283 | "xchg %%edx,%%edi \n\t" /* edi = u64Low.hi
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284 | edx = u32C */
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285 | "xchg %%edx,%%ecx \n\t" /* ecx = u32C
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286 | edx = u32B */
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287 | "mull %%edx \n\t" /* eax = u64Hi.lo = (u64A.hi * u32B).lo
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288 | edx = u64Hi.hi = (u64A.hi * u32B).hi */
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289 | "addl %%edi,%%eax \n\t" /* u64Hi.lo += u64Lo.hi */
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290 | "adcl $0,%%edx \n\t" /* u64Hi.hi += carry */
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291 | "divl %%ecx \n\t" /* eax = u64Hi / u32C
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292 | edx = u64Hi % u32C */
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293 | "movl %%eax,%%edi \n\t" /* edi = u64Result.hi = u64Hi / u32C */
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294 | "movl %%esi,%%eax \n\t" /* eax = u64Lo.lo */
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295 | "divl %%ecx \n\t" /* u64Result.lo */
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296 | "movl %%edi,%%edx \n\t" /* u64Result.hi */
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297 | : "=A"(u64Result), "=c"(u32Dummy),
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298 | "=S"(u32Dummy), "=D"(u32Dummy)
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299 | : "a"((uint32_t)u64A),
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300 | "S"((uint32_t)(u64A >> 32)),
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301 | "c"(u32B),
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302 | "D"(u32C));
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303 | return u64Result;
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304 | # endif
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305 | # else
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306 | RTUINT64U u;
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307 | uint64_t u64Lo = (uint64_t)(u64A & 0xffffffff) * u32B;
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308 | uint64_t u64Hi = (uint64_t)(u64A >> 32) * u32B;
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309 | u64Hi += (u64Lo >> 32);
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310 | u.s.Hi = (uint32_t)(u64Hi / u32C);
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311 | u.s.Lo = (uint32_t)((((u64Hi % u32C) << 32) + (u64Lo & 0xffffffff)) / u32C);
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312 | return u.u;
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313 | # endif
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314 | }
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315 | #endif
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316 |
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317 | /** @} */
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318 | #endif
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319 |
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