1 | /* TCC ARM runtime EABI
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2 | Copyright (C) 2013 Thomas Preud'homme
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3 |
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4 | Permission is hereby granted, free of charge, to any person obtaining a copy
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5 | of this software and associated documentation files (the "Software"), to deal
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6 | in the Software without restriction, including without limitation the rights
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7 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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8 | copies of the Software, and to permit persons to whom the Software is
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9 | furnished to do so, subject to the following conditions:
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10 |
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11 | The above copyright notice and this permission notice shall be included in
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12 | all copies or substantial portions of the software.
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13 |
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14 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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15 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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16 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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17 | THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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18 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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19 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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20 | THE SOFTWARE.*/
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21 |
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22 | #ifdef __TINYC__
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23 | #define INT_MIN (-2147483647 - 1)
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24 | #define INT_MAX 2147483647
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25 | #define UINT_MAX 0xffffffff
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26 | #define LONG_MIN (-2147483647L - 1)
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27 | #define LONG_MAX 2147483647L
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28 | #define ULONG_MAX 0xffffffffUL
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29 | #define LLONG_MAX 9223372036854775807LL
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30 | #define LLONG_MIN (-9223372036854775807LL - 1)
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31 | #define ULLONG_MAX 0xffffffffffffffffULL
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32 | #else
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33 | #include <limits.h>
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34 | #endif
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35 |
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36 | /* We rely on the little endianness and EABI calling convention for this to
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37 | work */
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38 |
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39 | typedef struct double_unsigned_struct {
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40 | unsigned low;
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41 | unsigned high;
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42 | } double_unsigned_struct;
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43 |
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44 | typedef struct unsigned_int_struct {
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45 | unsigned low;
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46 | int high;
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47 | } unsigned_int_struct;
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48 |
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49 | #define REGS_RETURN(name, type) \
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50 | void name ## _return(type ret) {}
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51 |
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52 |
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53 | /* Float helper functions */
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54 |
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55 | #define FLOAT_EXP_BITS 8
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56 | #define FLOAT_FRAC_BITS 23
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57 |
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58 | #define DOUBLE_EXP_BITS 11
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59 | #define DOUBLE_FRAC_BITS 52
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60 |
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61 | #define ONE_EXP(type) ((1 << (type ## _EXP_BITS - 1)) - 1)
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62 |
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63 | REGS_RETURN(unsigned_int_struct, unsigned_int_struct)
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64 | REGS_RETURN(double_unsigned_struct, double_unsigned_struct)
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65 |
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66 | /* float -> integer: (sign) 1.fraction x 2^(exponent - exp_for_one) */
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67 |
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68 |
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69 | /* float to [unsigned] long long conversion */
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70 | #define DEFINE__AEABI_F2XLZ(name, with_sign) \
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71 | void __aeabi_ ## name(unsigned val) \
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72 | { \
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73 | int exp, high_shift, sign; \
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74 | double_unsigned_struct ret; \
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75 | \
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76 | /* compute sign */ \
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77 | sign = val >> 31; \
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78 | \
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79 | /* compute real exponent */ \
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80 | exp = val >> FLOAT_FRAC_BITS; \
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81 | exp &= (1 << FLOAT_EXP_BITS) - 1; \
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82 | exp -= ONE_EXP(FLOAT); \
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83 | \
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84 | /* undefined behavior if truncated value cannot be represented */ \
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85 | if (with_sign) { \
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86 | if (exp > 62) /* |val| too big, double cannot represent LLONG_MAX */ \
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87 | return; \
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88 | } else { \
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89 | if ((sign && exp >= 0) || exp > 63) /* if val < 0 || val too big */ \
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90 | return; \
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91 | } \
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92 | \
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93 | val &= (1 << FLOAT_FRAC_BITS) - 1; \
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94 | if (exp >= 32) { \
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95 | ret.high = 1 << (exp - 32); \
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96 | if (exp - 32 >= FLOAT_FRAC_BITS) { \
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97 | ret.high |= val << (exp - 32 - FLOAT_FRAC_BITS); \
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98 | ret.low = 0; \
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99 | } else { \
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100 | high_shift = FLOAT_FRAC_BITS - (exp - 32); \
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101 | ret.high |= val >> high_shift; \
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102 | ret.low = val << (32 - high_shift); \
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103 | } \
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104 | } else { \
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105 | ret.high = 0; \
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106 | ret.low = 1 << exp; \
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107 | if (exp > FLOAT_FRAC_BITS) \
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108 | ret.low |= val << (exp - FLOAT_FRAC_BITS); \
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109 | else \
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110 | ret.low |= val >> (FLOAT_FRAC_BITS - exp); \
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111 | } \
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112 | \
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113 | /* encode negative integer using 2's complement */ \
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114 | if (with_sign && sign) { \
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115 | ret.low = ~ret.low; \
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116 | ret.high = ~ret.high; \
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117 | if (ret.low == UINT_MAX) { \
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118 | ret.low = 0; \
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119 | ret.high++; \
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120 | } else \
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121 | ret.low++; \
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122 | } \
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123 | \
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124 | double_unsigned_struct_return(ret); \
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125 | }
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126 |
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127 | /* float to unsigned long long conversion */
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128 | DEFINE__AEABI_F2XLZ(f2ulz, 0)
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129 |
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130 | /* float to long long conversion */
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131 | DEFINE__AEABI_F2XLZ(f2lz, 1)
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132 |
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133 | /* double to [unsigned] long long conversion */
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134 | #define DEFINE__AEABI_D2XLZ(name, with_sign) \
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135 | void __aeabi_ ## name(double_unsigned_struct val) \
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136 | { \
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137 | int exp, high_shift, sign; \
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138 | double_unsigned_struct ret; \
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139 | \
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140 | /* compute sign */ \
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141 | sign = val.high >> 31; \
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142 | \
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143 | /* compute real exponent */ \
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144 | exp = (val.high >> (DOUBLE_FRAC_BITS - 32)); \
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145 | exp &= (1 << DOUBLE_EXP_BITS) - 1; \
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146 | exp -= ONE_EXP(DOUBLE); \
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147 | \
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148 | /* undefined behavior if truncated value cannot be represented */ \
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149 | if (with_sign) { \
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150 | if (exp > 62) /* |val| too big, double cannot represent LLONG_MAX */ \
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151 | return; \
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152 | } else { \
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153 | if ((sign && exp >= 0) || exp > 63) /* if val < 0 || val too big */ \
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154 | return; \
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155 | } \
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156 | \
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157 | val.high &= (1 << (DOUBLE_FRAC_BITS - 32)) - 1; \
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158 | if (exp >= 32) { \
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159 | ret.high = 1 << (exp - 32); \
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160 | if (exp >= DOUBLE_FRAC_BITS) { \
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161 | high_shift = exp - DOUBLE_FRAC_BITS; \
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162 | ret.high |= val.high << high_shift; \
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163 | ret.high |= val.low >> (32 - high_shift); \
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164 | ret.low = val.low << high_shift; \
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165 | } else { \
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166 | high_shift = DOUBLE_FRAC_BITS - exp; \
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167 | ret.high |= val.high >> high_shift; \
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168 | ret.low = val.high << (32 - high_shift); \
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169 | ret.low |= val.low >> high_shift; \
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170 | } \
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171 | } else { \
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172 | ret.high = 0; \
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173 | ret.low = 1 << exp; \
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174 | if (exp > DOUBLE_FRAC_BITS - 32) { \
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175 | high_shift = exp - DOUBLE_FRAC_BITS - 32; \
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176 | ret.low |= val.high << high_shift; \
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177 | ret.low |= val.low >> (32 - high_shift); \
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178 | } else \
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179 | ret.low |= val.high >> (DOUBLE_FRAC_BITS - 32 - exp); \
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180 | } \
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181 | \
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182 | /* encode negative integer using 2's complement */ \
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183 | if (with_sign && sign) { \
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184 | ret.low = ~ret.low; \
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185 | ret.high = ~ret.high; \
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186 | if (ret.low == UINT_MAX) { \
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187 | ret.low = 0; \
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188 | ret.high++; \
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189 | } else \
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190 | ret.low++; \
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191 | } \
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192 | \
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193 | double_unsigned_struct_return(ret); \
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194 | }
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195 |
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196 | /* double to unsigned long long conversion */
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197 | DEFINE__AEABI_D2XLZ(d2ulz, 0)
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198 |
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199 | /* double to long long conversion */
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200 | DEFINE__AEABI_D2XLZ(d2lz, 1)
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201 |
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202 | /* long long to float conversion */
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203 | #define DEFINE__AEABI_XL2F(name, with_sign) \
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204 | unsigned __aeabi_ ## name(unsigned long long v) \
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205 | { \
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206 | int s /* shift */, flb /* first lost bit */, sign = 0; \
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207 | unsigned p = 0 /* power */, ret; \
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208 | double_unsigned_struct val; \
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209 | \
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210 | /* fraction in negative float is encoded in 1's complement */ \
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211 | if (with_sign && (v & (1ULL << 63))) { \
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212 | sign = 1; \
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213 | v = ~v + 1; \
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214 | } \
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215 | val.low = v; \
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216 | val.high = v >> 32; \
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217 | /* fill fraction bits */ \
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218 | for (s = 31, p = 1 << 31; p && !(val.high & p); s--, p >>= 1); \
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219 | if (p) { \
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220 | ret = val.high & (p - 1); \
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221 | if (s < FLOAT_FRAC_BITS) { \
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222 | ret <<= FLOAT_FRAC_BITS - s; \
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223 | ret |= val.low >> (32 - (FLOAT_FRAC_BITS - s)); \
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224 | flb = (val.low >> (32 - (FLOAT_FRAC_BITS - s - 1))) & 1; \
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225 | } else { \
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226 | flb = (ret >> (s - FLOAT_FRAC_BITS - 1)) & 1; \
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227 | ret >>= s - FLOAT_FRAC_BITS; \
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228 | } \
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229 | s += 32; \
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230 | } else { \
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231 | for (s = 31, p = 1 << 31; p && !(val.low & p); s--, p >>= 1); \
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232 | if (p) { \
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233 | ret = val.low & (p - 1); \
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234 | if (s <= FLOAT_FRAC_BITS) { \
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235 | ret <<= FLOAT_FRAC_BITS - s; \
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236 | flb = 0; \
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237 | } else { \
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238 | flb = (ret >> (s - FLOAT_FRAC_BITS - 1)) & 1; \
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239 | ret >>= s - FLOAT_FRAC_BITS; \
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240 | } \
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241 | } else \
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242 | return 0; \
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243 | } \
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244 | if (flb) \
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245 | ret++; \
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246 | \
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247 | /* fill exponent bits */ \
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248 | ret |= (s + ONE_EXP(FLOAT)) << FLOAT_FRAC_BITS; \
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249 | \
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250 | /* fill sign bit */ \
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251 | ret |= sign << 31; \
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252 | \
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253 | return ret; \
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254 | }
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255 |
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256 | /* unsigned long long to float conversion */
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257 | DEFINE__AEABI_XL2F(ul2f, 0)
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258 |
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259 | /* long long to float conversion */
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260 | DEFINE__AEABI_XL2F(l2f, 1)
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261 |
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262 | /* long long to double conversion */
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263 | #define __AEABI_XL2D(name, with_sign) \
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264 | void __aeabi_ ## name(unsigned long long v) \
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265 | { \
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266 | int s /* shift */, high_shift, sign = 0; \
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267 | unsigned tmp, p = 0; \
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268 | double_unsigned_struct val, ret; \
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269 | \
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270 | /* fraction in negative float is encoded in 1's complement */ \
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271 | if (with_sign && (v & (1ULL << 63))) { \
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272 | sign = 1; \
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273 | v = ~v + 1; \
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274 | } \
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275 | val.low = v; \
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276 | val.high = v >> 32; \
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277 | \
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278 | /* fill fraction bits */ \
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279 | for (s = 31, p = 1 << 31; p && !(val.high & p); s--, p >>= 1); \
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280 | if (p) { \
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281 | tmp = val.high & (p - 1); \
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282 | if (s < DOUBLE_FRAC_BITS - 32) { \
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283 | high_shift = DOUBLE_FRAC_BITS - 32 - s; \
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284 | ret.high = tmp << high_shift; \
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285 | ret.high |= val.low >> (32 - high_shift); \
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286 | ret.low = val.low << high_shift; \
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287 | } else { \
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288 | high_shift = s - (DOUBLE_FRAC_BITS - 32); \
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289 | ret.high = tmp >> high_shift; \
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290 | ret.low = tmp << (32 - high_shift); \
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291 | ret.low |= val.low >> high_shift; \
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292 | if ((val.low >> (high_shift - 1)) & 1) { \
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293 | if (ret.low == UINT_MAX) { \
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294 | ret.high++; \
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295 | ret.low = 0; \
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296 | } else \
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297 | ret.low++; \
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298 | } \
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299 | } \
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300 | s += 32; \
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301 | } else { \
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302 | for (s = 31, p = 1 << 31; p && !(val.low & p); s--, p >>= 1); \
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303 | if (p) { \
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304 | tmp = val.low & (p - 1); \
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305 | if (s <= DOUBLE_FRAC_BITS - 32) { \
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306 | high_shift = DOUBLE_FRAC_BITS - 32 - s; \
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307 | ret.high = tmp << high_shift; \
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308 | ret.low = 0; \
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309 | } else { \
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310 | high_shift = s - (DOUBLE_FRAC_BITS - 32); \
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311 | ret.high = tmp >> high_shift; \
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312 | ret.low = tmp << (32 - high_shift); \
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313 | } \
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314 | } else { \
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315 | ret.high = ret.low = 0; \
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316 | double_unsigned_struct_return(ret); \
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317 | } \
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318 | } \
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319 | \
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320 | /* fill exponent bits */ \
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321 | ret.high |= (s + ONE_EXP(DOUBLE)) << (DOUBLE_FRAC_BITS - 32); \
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322 | \
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323 | /* fill sign bit */ \
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324 | ret.high |= sign << 31; \
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325 | \
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326 | double_unsigned_struct_return(ret); \
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327 | }
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328 |
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329 | /* unsigned long long to double conversion */
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330 | __AEABI_XL2D(ul2d, 0)
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331 |
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332 | /* long long to double conversion */
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333 | __AEABI_XL2D(l2d, 1)
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334 |
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335 |
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336 | /* Long long helper functions */
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337 |
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338 | /* TODO: add error in case of den == 0 (see 則4.3.1 and 則4.3.2) */
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339 |
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340 | #define define_aeabi_xdivmod_signed_type(basetype, type) \
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341 | typedef struct type { \
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342 | basetype quot; \
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343 | unsigned basetype rem; \
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344 | } type
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345 |
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346 | #define define_aeabi_xdivmod_unsigned_type(basetype, type) \
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347 | typedef struct type { \
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348 | basetype quot; \
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349 | basetype rem; \
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350 | } type
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351 |
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352 | #define AEABI_UXDIVMOD(name,type, rettype, typemacro) \
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353 | static inline rettype aeabi_ ## name (type num, type den) \
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354 | { \
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355 | rettype ret; \
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356 | type quot = 0; \
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357 | \
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358 | /* Increase quotient while it is less than numerator */ \
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359 | while (num >= den) { \
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360 | type q = 1; \
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361 | \
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362 | /* Find closest power of two */ \
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363 | while ((q << 1) * den <= num && q * den <= typemacro ## _MAX / 2) \
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364 | q <<= 1; \
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365 | \
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366 | /* Compute difference between current quotient and numerator */ \
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367 | num -= q * den; \
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368 | quot += q; \
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369 | } \
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370 | ret.quot = quot; \
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371 | ret.rem = num; \
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372 | return ret; \
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373 | }
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374 |
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375 | #define __AEABI_XDIVMOD(name, type, uiname, rettype, urettype, typemacro) \
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376 | void __aeabi_ ## name(type numerator, type denominator) \
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377 | { \
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378 | unsigned type num, den; \
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379 | urettype uxdiv_ret; \
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380 | rettype ret; \
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381 | \
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382 | if (numerator >= 0) \
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383 | num = numerator; \
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384 | else \
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385 | num = 0 - numerator; \
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386 | if (denominator >= 0) \
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387 | den = denominator; \
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388 | else \
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389 | den = 0 - denominator; \
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390 | uxdiv_ret = aeabi_ ## uiname(num, den); \
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391 | /* signs differ */ \
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392 | if ((numerator & typemacro ## _MIN) != (denominator & typemacro ## _MIN)) \
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393 | ret.quot = 0 - uxdiv_ret.quot; \
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394 | else \
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395 | ret.quot = uxdiv_ret.quot; \
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396 | if (numerator < 0) \
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397 | ret.rem = 0 - uxdiv_ret.rem; \
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398 | else \
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399 | ret.rem = uxdiv_ret.rem; \
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400 | \
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401 | rettype ## _return(ret); \
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402 | }
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403 |
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404 | define_aeabi_xdivmod_signed_type(long long, lldiv_t);
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405 | define_aeabi_xdivmod_unsigned_type(unsigned long long, ulldiv_t);
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406 | define_aeabi_xdivmod_signed_type(int, idiv_t);
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407 | define_aeabi_xdivmod_unsigned_type(unsigned, uidiv_t);
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408 |
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409 | REGS_RETURN(lldiv_t, lldiv_t)
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410 | REGS_RETURN(ulldiv_t, ulldiv_t)
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411 | REGS_RETURN(idiv_t, idiv_t)
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412 | REGS_RETURN(uidiv_t, uidiv_t)
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413 |
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414 | AEABI_UXDIVMOD(uldivmod, unsigned long long, ulldiv_t, ULLONG)
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415 |
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416 | __AEABI_XDIVMOD(ldivmod, long long, uldivmod, lldiv_t, ulldiv_t, LLONG)
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417 |
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418 | void __aeabi_uldivmod(unsigned long long num, unsigned long long den)
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419 | {
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420 | ulldiv_t_return(aeabi_uldivmod(num, den));
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421 | }
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422 |
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423 | void __aeabi_llsl(double_unsigned_struct val, int shift)
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424 | {
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425 | double_unsigned_struct ret;
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426 |
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427 | if (shift >= 32) {
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428 | val.high = val.low;
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429 | val.low = 0;
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430 | shift -= 32;
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431 | }
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432 | if (shift > 0) {
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433 | ret.low = val.low << shift;
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434 | ret.high = (val.high << shift) | (val.low >> (32 - shift));
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435 | double_unsigned_struct_return(ret);
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436 | return;
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437 | }
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438 | double_unsigned_struct_return(val);
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439 | }
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440 |
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441 | #define aeabi_lsr(val, shift, fill, type) \
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442 | type ## _struct ret; \
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443 | \
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444 | if (shift >= 32) { \
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445 | val.low = val.high; \
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446 | val.high = fill; \
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447 | shift -= 32; \
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448 | } \
|
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449 | if (shift > 0) { \
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450 | ret.high = val.high >> shift; \
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451 | ret.low = (val.high << (32 - shift)) | (val.low >> shift); \
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452 | type ## _struct_return(ret); \
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453 | return; \
|
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454 | } \
|
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455 | type ## _struct_return(val);
|
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456 |
|
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457 | void __aeabi_llsr(double_unsigned_struct val, int shift)
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458 | {
|
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459 | aeabi_lsr(val, shift, 0, double_unsigned);
|
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460 | }
|
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461 |
|
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462 | void __aeabi_lasr(unsigned_int_struct val, int shift)
|
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463 | {
|
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464 | aeabi_lsr(val, shift, val.high >> 31, unsigned_int);
|
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465 | }
|
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466 |
|
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467 |
|
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468 | /* Integer division functions */
|
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469 |
|
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470 | AEABI_UXDIVMOD(uidivmod, unsigned, uidiv_t, UINT)
|
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471 |
|
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472 | int __aeabi_idiv(int numerator, int denominator)
|
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473 | {
|
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474 | unsigned num, den;
|
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475 | uidiv_t ret;
|
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476 |
|
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477 | if (numerator >= 0)
|
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478 | num = numerator;
|
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479 | else
|
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480 | num = 0 - numerator;
|
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481 | if (denominator >= 0)
|
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482 | den = denominator;
|
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483 | else
|
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484 | den = 0 - denominator;
|
---|
485 | ret = aeabi_uidivmod(num, den);
|
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486 | if ((numerator & INT_MIN) != (denominator & INT_MIN)) /* signs differ */
|
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487 | ret.quot *= -1;
|
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488 | return ret.quot;
|
---|
489 | }
|
---|
490 |
|
---|
491 | unsigned __aeabi_uidiv(unsigned num, unsigned den)
|
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492 | {
|
---|
493 | return aeabi_uidivmod(num, den).quot;
|
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494 | }
|
---|
495 |
|
---|
496 | __AEABI_XDIVMOD(idivmod, int, uidivmod, idiv_t, uidiv_t, INT)
|
---|
497 |
|
---|
498 | void __aeabi_uidivmod(unsigned num, unsigned den)
|
---|
499 | {
|
---|
500 | uidiv_t_return(aeabi_uidivmod(num, den));
|
---|
501 | }
|
---|