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991 | cejka | 1 | /* |
2 | * Copyright (C) 2006 Josef Cejka |
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3 | * All rights reserved. |
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4 | * |
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5 | * Redistribution and use in source and binary forms, with or without |
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6 | * modification, are permitted provided that the following conditions |
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7 | * are met: |
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8 | * |
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9 | * - Redistributions of source code must retain the above copyright |
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10 | * notice, this list of conditions and the following disclaimer. |
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11 | * - Redistributions in binary form must reproduce the above copyright |
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12 | * notice, this list of conditions and the following disclaimer in the |
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13 | * documentation and/or other materials provided with the distribution. |
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14 | * - The name of the author may not be used to endorse or promote products |
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15 | * derived from this software without specific prior written permission. |
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16 | * |
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17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
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18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
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19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
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20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
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21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
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22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
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23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
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24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
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25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
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26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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27 | */ |
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28 | |||
1740 | jermar | 29 | /** @addtogroup softint |
1653 | cejka | 30 | * @{ |
31 | */ |
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32 | /** |
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33 | * @file |
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34 | * SW implementation of 32 and 64 bit division and modulo. |
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35 | */ |
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36 | |||
991 | cejka | 37 | #include <division.h> |
38 | |||
39 | #define ABSVAL(x) ( (x) > 0 ? (x) : -(x)) |
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40 | #define SGN(x) ( (x) >= 0 ? 1 : 0 ) |
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41 | |||
42 | static unsigned int divandmod32(unsigned int a, unsigned int b, unsigned int *remainder) |
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43 | { |
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44 | unsigned int result; |
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45 | int steps = sizeof(unsigned int) * 8; |
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46 | |||
47 | *remainder = 0; |
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48 | result = 0; |
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49 | |||
50 | if (b == 0) { |
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51 | /* FIXME: division by zero */ |
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52 | return 0; |
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53 | } |
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54 | |||
55 | if ( a < b) { |
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56 | *remainder = a; |
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57 | return 0; |
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58 | } |
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59 | |||
60 | for ( ; steps > 0; steps--) { |
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61 | /* shift one bit to remainder */ |
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62 | *remainder = ( (*remainder) << 1) | (( a >> 31) & 0x1); |
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63 | result <<= 1; |
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64 | |||
65 | if (*remainder >= b) { |
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66 | *remainder -= b; |
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67 | result |= 0x1; |
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68 | } |
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69 | a <<= 1; |
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70 | } |
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71 | |||
72 | return result; |
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73 | } |
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74 | |||
75 | |||
76 | static unsigned long long divandmod64(unsigned long long a, unsigned long long b, unsigned long long *remainder) |
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77 | { |
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78 | unsigned long long result; |
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79 | int steps = sizeof(unsigned long long) * 8; |
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80 | |||
81 | *remainder = 0; |
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82 | result = 0; |
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83 | |||
84 | if (b == 0) { |
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85 | /* FIXME: division by zero */ |
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86 | return 0; |
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87 | } |
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88 | |||
89 | if ( a < b) { |
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90 | *remainder = a; |
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91 | return 0; |
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92 | } |
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93 | |||
94 | for ( ; steps > 0; steps--) { |
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95 | /* shift one bit to remainder */ |
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96 | *remainder = ( (*remainder) << 1) | ((a >> 63) & 0x1); |
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97 | result <<= 1; |
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98 | |||
99 | if (*remainder >= b) { |
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100 | *remainder -= b; |
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101 | result |= 0x1; |
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102 | } |
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103 | a <<= 1; |
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104 | } |
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105 | |||
106 | return result; |
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107 | } |
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108 | |||
109 | /* 32bit integer division */ |
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110 | int __divsi3(int a, int b) |
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111 | { |
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112 | unsigned int rem; |
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113 | int result; |
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114 | |||
115 | result = (int)divandmod32(ABSVAL(a), ABSVAL(b), &rem); |
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116 | |||
117 | if ( SGN(a) == SGN(b)) return result; |
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118 | return -result; |
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119 | } |
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120 | |||
121 | /* 64bit integer division */ |
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122 | long long __divdi3(long long a, long long b) |
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123 | { |
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124 | unsigned long long rem; |
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125 | long long result; |
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126 | |||
127 | result = (long long)divandmod64(ABSVAL(a), ABSVAL(b), &rem); |
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128 | |||
129 | if ( SGN(a) == SGN(b)) return result; |
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130 | return -result; |
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131 | } |
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132 | |||
133 | /* 32bit unsigned integer division */ |
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134 | unsigned int __udivsi3(unsigned int a, unsigned int b) |
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135 | { |
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136 | unsigned int rem; |
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137 | return divandmod32(a, b, &rem); |
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138 | } |
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139 | |||
140 | /* 64bit unsigned integer division */ |
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141 | unsigned long long __udivdi3(unsigned long long a, unsigned long long b) |
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142 | { |
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143 | unsigned long long rem; |
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144 | return divandmod64(a, b, &rem); |
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145 | } |
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146 | |||
147 | /* 32bit remainder of the signed division */ |
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148 | int __modsi3(int a, int b) |
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149 | { |
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150 | unsigned int rem; |
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151 | divandmod32(a, b, &rem); |
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152 | |||
153 | /* if divident is negative, remainder must be too */ |
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154 | if (!(SGN(a))) { |
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155 | return -((int)rem); |
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156 | } |
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157 | |||
158 | return (int)rem; |
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159 | } |
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160 | |||
161 | /* 64bit remainder of the signed division */ |
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162 | long long __moddi3(long long a,long long b) |
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163 | { |
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164 | unsigned long long rem; |
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165 | divandmod64(a, b, &rem); |
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166 | |||
167 | /* if divident is negative, remainder must be too */ |
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168 | if (!(SGN(a))) { |
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169 | return -((long long)rem); |
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170 | } |
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171 | |||
172 | return (long long)rem; |
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173 | } |
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174 | |||
175 | /* 32bit remainder of the unsigned division */ |
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176 | unsigned int __umodsi3(unsigned int a, unsigned int b) |
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177 | { |
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178 | unsigned int rem; |
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179 | divandmod32(a, b, &rem); |
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180 | return rem; |
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181 | } |
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182 | |||
183 | /* 64bit remainder of the unsigned division */ |
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184 | unsigned long long __umoddi3(unsigned long long a, unsigned long long b) |
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185 | { |
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186 | unsigned long long rem; |
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187 | divandmod64(a, b, &rem); |
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188 | return rem; |
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189 | } |
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190 | |||
191 | unsigned long long __udivmoddi3(unsigned long long a, unsigned long long b, unsigned long long *c) |
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192 | { |
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193 | return divandmod64(a, b, c); |
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194 | } |
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195 | |||
1653 | cejka | 196 | /** @} |
197 | */ |