1 |
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2 | /*============================================================================
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3 |
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4 | This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
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5 | Package, Release 3e, by John R. Hauser.
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6 |
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7 | Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 The Regents of the
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8 | University of California. All rights reserved.
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9 |
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10 | Redistribution and use in source and binary forms, with or without
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11 | modification, are permitted provided that the following conditions are met:
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12 |
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13 | 1. Redistributions of source code must retain the above copyright notice,
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14 | this list of conditions, and the following disclaimer.
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15 |
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16 | 2. Redistributions in binary form must reproduce the above copyright notice,
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17 | this list of conditions, and the following disclaimer in the documentation
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18 | and/or other materials provided with the distribution.
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19 |
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20 | 3. Neither the name of the University nor the names of its contributors may
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21 | be used to endorse or promote products derived from this software without
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22 | specific prior written permission.
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23 |
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24 | THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
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25 | EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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26 | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
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27 | DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
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28 | DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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29 | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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30 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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31 | ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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32 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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33 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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34 |
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35 | =============================================================================*/
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36 |
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37 | #ifndef specialize_h
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38 | #define specialize_h 1
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39 |
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40 | #include <stdbool.h>
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41 | #include <stdint.h>
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42 | #include "primitiveTypes.h"
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43 | #include "softfloat.h"
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44 |
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45 | /*----------------------------------------------------------------------------
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46 | | Default value for 'softfloat_detectTininess'.
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47 | *----------------------------------------------------------------------------*/
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48 | #define init_detectTininess softfloat_tininess_beforeRounding
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49 |
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50 | /*----------------------------------------------------------------------------
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51 | | The values to return on conversions to 32-bit integer formats that raise an
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52 | | invalid exception.
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53 | *----------------------------------------------------------------------------*/
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54 | #define ui32_fromPosOverflow 0xFFFFFFFF
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55 | #define ui32_fromNegOverflow 0
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56 | #define ui32_fromNaN 0
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57 | #define i32_fromPosOverflow 0x7FFFFFFF
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58 | #define i32_fromNegOverflow (-0x7FFFFFFF - 1)
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59 | #define i32_fromNaN 0
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60 |
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61 | /*----------------------------------------------------------------------------
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62 | | The values to return on conversions to 64-bit integer formats that raise an
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63 | | invalid exception.
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64 | *----------------------------------------------------------------------------*/
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65 | #define ui64_fromPosOverflow UINT64_C( 0xFFFFFFFFFFFFFFFF )
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66 | #define ui64_fromNegOverflow 0
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67 | #define ui64_fromNaN 0
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68 | #define i64_fromPosOverflow INT64_C( 0x7FFFFFFFFFFFFFFF )
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69 | #define i64_fromNegOverflow (-INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1)
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70 | #define i64_fromNaN 0
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71 |
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72 | /*----------------------------------------------------------------------------
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73 | | "Common NaN" structure, used to transfer NaN representations from one format
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74 | | to another.
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75 | *----------------------------------------------------------------------------*/
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76 | struct commonNaN { char _unused; };
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77 |
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78 | /*----------------------------------------------------------------------------
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79 | | The bit pattern for a default generated 16-bit floating-point NaN.
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80 | *----------------------------------------------------------------------------*/
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81 | #define defaultNaNF16UI 0x7E00
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82 |
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83 | /*----------------------------------------------------------------------------
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84 | | Returns true when 16-bit unsigned integer 'uiA' has the bit pattern of a
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85 | | 16-bit floating-point signaling NaN.
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86 | | Note: This macro evaluates its argument more than once.
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87 | *----------------------------------------------------------------------------*/
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88 | #define softfloat_isSigNaNF16UI( uiA ) ((((uiA) & 0x7E00) == 0x7C00) && ((uiA) & 0x01FF))
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89 |
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90 | /*----------------------------------------------------------------------------
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91 | | Assuming 'uiA' has the bit pattern of a 16-bit floating-point NaN, converts
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92 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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93 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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94 | | exception is raised.
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95 | *----------------------------------------------------------------------------*/
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96 | #define softfloat_f16UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & 0x0200) ) softfloat_raiseFlags( softfloat_flag_invalid )
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97 |
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98 | /*----------------------------------------------------------------------------
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99 | | Converts the common NaN pointed to by 'aPtr' into a 16-bit floating-point
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100 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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101 | *----------------------------------------------------------------------------*/
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102 | #define softfloat_commonNaNToF16UI( aPtr ) ((uint_fast16_t) defaultNaNF16UI)
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103 |
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104 | /*----------------------------------------------------------------------------
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105 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 16-bit floating-
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106 | | point values, at least one of which is a NaN, returns the bit pattern of
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107 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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108 | | signaling NaN, the invalid exception is raised.
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109 | *----------------------------------------------------------------------------*/
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110 | uint_fast16_t
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111 | softfloat_propagateNaNF16UI( uint_fast16_t uiA, uint_fast16_t uiB );
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112 |
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113 | /*----------------------------------------------------------------------------
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114 | | The bit pattern for a default generated 32-bit floating-point NaN.
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115 | *----------------------------------------------------------------------------*/
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116 | #define defaultNaNF32UI 0x7FC00000
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117 |
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118 | /*----------------------------------------------------------------------------
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119 | | Returns true when 32-bit unsigned integer 'uiA' has the bit pattern of a
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120 | | 32-bit floating-point signaling NaN.
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121 | | Note: This macro evaluates its argument more than once.
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122 | *----------------------------------------------------------------------------*/
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123 | #define softfloat_isSigNaNF32UI( uiA ) ((((uiA) & 0x7FC00000) == 0x7F800000) && ((uiA) & 0x003FFFFF))
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124 |
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125 | /*----------------------------------------------------------------------------
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126 | | Assuming 'uiA' has the bit pattern of a 32-bit floating-point NaN, converts
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127 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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128 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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129 | | exception is raised.
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130 | *----------------------------------------------------------------------------*/
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131 | #define softfloat_f32UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & 0x00400000) ) softfloat_raiseFlags( softfloat_flag_invalid )
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132 |
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133 | /*----------------------------------------------------------------------------
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134 | | Converts the common NaN pointed to by 'aPtr' into a 32-bit floating-point
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135 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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136 | *----------------------------------------------------------------------------*/
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137 | #define softfloat_commonNaNToF32UI( aPtr ) ((uint_fast32_t) defaultNaNF32UI)
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138 |
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139 | /*----------------------------------------------------------------------------
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140 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 32-bit floating-
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141 | | point values, at least one of which is a NaN, returns the bit pattern of
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142 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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143 | | signaling NaN, the invalid exception is raised.
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144 | *----------------------------------------------------------------------------*/
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145 | uint_fast32_t
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146 | softfloat_propagateNaNF32UI( uint_fast32_t uiA, uint_fast32_t uiB );
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147 |
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148 | /*----------------------------------------------------------------------------
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149 | | The bit pattern for a default generated 64-bit floating-point NaN.
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150 | *----------------------------------------------------------------------------*/
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151 | #define defaultNaNF64UI UINT64_C( 0x7FF8000000000000 )
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152 |
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153 | /*----------------------------------------------------------------------------
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154 | | Returns true when 64-bit unsigned integer 'uiA' has the bit pattern of a
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155 | | 64-bit floating-point signaling NaN.
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156 | | Note: This macro evaluates its argument more than once.
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157 | *----------------------------------------------------------------------------*/
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158 | #define softfloat_isSigNaNF64UI( uiA ) ((((uiA) & UINT64_C( 0x7FF8000000000000 )) == UINT64_C( 0x7FF0000000000000 )) && ((uiA) & UINT64_C( 0x0007FFFFFFFFFFFF )))
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159 |
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160 | /*----------------------------------------------------------------------------
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161 | | Assuming 'uiA' has the bit pattern of a 64-bit floating-point NaN, converts
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162 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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163 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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164 | | exception is raised.
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165 | *----------------------------------------------------------------------------*/
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166 | #define softfloat_f64UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & UINT64_C( 0x0008000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )
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167 |
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168 | /*----------------------------------------------------------------------------
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169 | | Converts the common NaN pointed to by 'aPtr' into a 64-bit floating-point
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170 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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171 | *----------------------------------------------------------------------------*/
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172 | #define softfloat_commonNaNToF64UI( aPtr ) ((uint_fast64_t) defaultNaNF64UI)
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173 |
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174 | /*----------------------------------------------------------------------------
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175 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 64-bit floating-
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176 | | point values, at least one of which is a NaN, returns the bit pattern of
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177 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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178 | | signaling NaN, the invalid exception is raised.
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179 | *----------------------------------------------------------------------------*/
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180 | uint_fast64_t
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181 | softfloat_propagateNaNF64UI( uint_fast64_t uiA, uint_fast64_t uiB );
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182 |
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183 | /*----------------------------------------------------------------------------
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184 | | The bit pattern for a default generated 80-bit extended floating-point NaN.
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185 | *----------------------------------------------------------------------------*/
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186 | #define defaultNaNExtF80UI64 0x7FFF
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187 | #define defaultNaNExtF80UI0 UINT64_C( 0xC000000000000000 )
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188 |
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189 | /*----------------------------------------------------------------------------
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190 | | Returns true when the 80-bit unsigned integer formed from concatenating
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191 | | 16-bit 'uiA64' and 64-bit 'uiA0' has the bit pattern of an 80-bit extended
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192 | | floating-point signaling NaN.
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193 | | Note: This macro evaluates its arguments more than once.
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194 | *----------------------------------------------------------------------------*/
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195 | #define softfloat_isSigNaNExtF80UI( uiA64, uiA0 ) ((((uiA64) & 0x7FFF) == 0x7FFF) && ! ((uiA0) & UINT64_C( 0x4000000000000000 )) && ((uiA0) & UINT64_C( 0x3FFFFFFFFFFFFFFF )))
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196 |
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197 | #ifdef SOFTFLOAT_FAST_INT64
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198 |
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199 | /*----------------------------------------------------------------------------
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200 | | The following functions are needed only when 'SOFTFLOAT_FAST_INT64' is
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201 | | defined.
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202 | *----------------------------------------------------------------------------*/
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203 |
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204 | /*----------------------------------------------------------------------------
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205 | | Assuming the unsigned integer formed from concatenating 'uiA64' and 'uiA0'
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206 | | has the bit pattern of an 80-bit extended floating-point NaN, converts
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207 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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208 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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209 | | exception is raised.
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210 | *----------------------------------------------------------------------------*/
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211 | #define softfloat_extF80UIToCommonNaN( uiA64, uiA0, zPtr ) if ( ! ((uiA0) & UINT64_C( 0x4000000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )
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212 |
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213 | /*----------------------------------------------------------------------------
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214 | | Converts the common NaN pointed to by 'aPtr' into an 80-bit extended
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215 | | floating-point NaN, and returns the bit pattern of this value as an unsigned
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216 | | integer.
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217 | *----------------------------------------------------------------------------*/
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218 | #if defined INLINE && ! defined softfloat_commonNaNToExtF80UI
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219 | INLINE
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220 | struct uint128 softfloat_commonNaNToExtF80UI( const struct commonNaN *aPtr )
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221 | {
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222 | struct uint128 uiZ;
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223 | uiZ.v64 = defaultNaNExtF80UI64;
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224 | uiZ.v0 = defaultNaNExtF80UI0;
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225 | return uiZ;
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226 | }
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227 | #else
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228 | struct uint128 softfloat_commonNaNToExtF80UI( const struct commonNaN *aPtr );
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229 | #endif
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230 |
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231 | /*----------------------------------------------------------------------------
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232 | | Interpreting the unsigned integer formed from concatenating 'uiA64' and
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233 | | 'uiA0' as an 80-bit extended floating-point value, and likewise interpreting
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234 | | the unsigned integer formed from concatenating 'uiB64' and 'uiB0' as another
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235 | | 80-bit extended floating-point value, and assuming at least on of these
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236 | | floating-point values is a NaN, returns the bit pattern of the combined NaN
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237 | | result. If either original floating-point value is a signaling NaN, the
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238 | | invalid exception is raised.
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239 | *----------------------------------------------------------------------------*/
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240 | struct uint128
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241 | softfloat_propagateNaNExtF80UI(
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242 | uint_fast16_t uiA64,
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243 | uint_fast64_t uiA0,
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244 | uint_fast16_t uiB64,
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245 | uint_fast64_t uiB0
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246 | );
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247 |
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248 | /*----------------------------------------------------------------------------
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249 | | The bit pattern for a default generated 128-bit floating-point NaN.
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250 | *----------------------------------------------------------------------------*/
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251 | #define defaultNaNF128UI64 UINT64_C( 0x7FFF800000000000 )
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252 | #define defaultNaNF128UI0 UINT64_C( 0 )
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253 |
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254 | /*----------------------------------------------------------------------------
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255 | | Returns true when the 128-bit unsigned integer formed from concatenating
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256 | | 64-bit 'uiA64' and 64-bit 'uiA0' has the bit pattern of a 128-bit floating-
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257 | | point signaling NaN.
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258 | | Note: This macro evaluates its arguments more than once.
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259 | *----------------------------------------------------------------------------*/
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260 | #define softfloat_isSigNaNF128UI( uiA64, uiA0 ) ((((uiA64) & UINT64_C( 0x7FFF800000000000 )) == UINT64_C( 0x7FFF000000000000 )) && ((uiA0) || ((uiA64) & UINT64_C( 0x00007FFFFFFFFFFF ))))
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261 |
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262 | /*----------------------------------------------------------------------------
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263 | | Assuming the unsigned integer formed from concatenating 'uiA64' and 'uiA0'
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264 | | has the bit pattern of a 128-bit floating-point NaN, converts this NaN to
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265 | | the common NaN form, and stores the resulting common NaN at the location
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266 | | pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid exception
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267 | | is raised.
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268 | *----------------------------------------------------------------------------*/
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269 | #define softfloat_f128UIToCommonNaN( uiA64, uiA0, zPtr ) if ( ! ((uiA64) & UINT64_C( 0x0000800000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )
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270 |
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271 | /*----------------------------------------------------------------------------
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272 | | Converts the common NaN pointed to by 'aPtr' into a 128-bit floating-point
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273 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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274 | *----------------------------------------------------------------------------*/
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275 | #if defined INLINE && ! defined softfloat_commonNaNToF128UI
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276 | INLINE
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277 | struct uint128 softfloat_commonNaNToF128UI( const struct commonNaN *aPtr )
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278 | {
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279 | struct uint128 uiZ;
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280 | uiZ.v64 = defaultNaNF128UI64;
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281 | uiZ.v0 = defaultNaNF128UI0;
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282 | return uiZ;
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283 | }
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284 | #else
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285 | struct uint128 softfloat_commonNaNToF128UI( const struct commonNaN * );
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286 | #endif
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287 |
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288 | /*----------------------------------------------------------------------------
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289 | | Interpreting the unsigned integer formed from concatenating 'uiA64' and
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290 | | 'uiA0' as a 128-bit floating-point value, and likewise interpreting the
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291 | | unsigned integer formed from concatenating 'uiB64' and 'uiB0' as another
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292 | | 128-bit floating-point value, and assuming at least on of these floating-
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293 | | point values is a NaN, returns the bit pattern of the combined NaN result.
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294 | | If either original floating-point value is a signaling NaN, the invalid
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295 | | exception is raised.
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296 | *----------------------------------------------------------------------------*/
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297 | struct uint128
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298 | softfloat_propagateNaNF128UI(
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299 | uint_fast64_t uiA64,
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300 | uint_fast64_t uiA0,
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301 | uint_fast64_t uiB64,
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302 | uint_fast64_t uiB0
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303 | );
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304 |
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305 | #else
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306 |
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307 | /*----------------------------------------------------------------------------
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308 | | The following functions are needed only when 'SOFTFLOAT_FAST_INT64' is not
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309 | | defined.
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310 | *----------------------------------------------------------------------------*/
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311 |
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312 | /*----------------------------------------------------------------------------
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313 | | Assuming the 80-bit extended floating-point value pointed to by 'aSPtr' is
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314 | | a NaN, converts this NaN to the common NaN form, and stores the resulting
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315 | | common NaN at the location pointed to by 'zPtr'. If the NaN is a signaling
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316 | | NaN, the invalid exception is raised.
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317 | *----------------------------------------------------------------------------*/
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318 | #define softfloat_extF80MToCommonNaN( aSPtr, zPtr ) if ( ! ((aSPtr)->signif & UINT64_C( 0x4000000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )
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319 |
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320 | /*----------------------------------------------------------------------------
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321 | | Converts the common NaN pointed to by 'aPtr' into an 80-bit extended
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322 | | floating-point NaN, and stores this NaN at the location pointed to by
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323 | | 'zSPtr'.
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324 | *----------------------------------------------------------------------------*/
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325 | #if defined INLINE && ! defined softfloat_commonNaNToExtF80M
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326 | INLINE
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327 | void
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328 | softfloat_commonNaNToExtF80M(
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329 | const struct commonNaN *aPtr, struct extFloat80M *zSPtr )
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330 | {
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331 | zSPtr->signExp = defaultNaNExtF80UI64;
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332 | zSPtr->signif = defaultNaNExtF80UI0;
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333 | }
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334 | #else
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335 | void
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336 | softfloat_commonNaNToExtF80M(
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337 | const struct commonNaN *aPtr, struct extFloat80M *zSPtr );
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338 | #endif
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339 |
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340 | /*----------------------------------------------------------------------------
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341 | | Assuming at least one of the two 80-bit extended floating-point values
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342 | | pointed to by 'aSPtr' and 'bSPtr' is a NaN, stores the combined NaN result
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343 | | at the location pointed to by 'zSPtr'. If either original floating-point
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344 | | value is a signaling NaN, the invalid exception is raised.
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345 | *----------------------------------------------------------------------------*/
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346 | void
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347 | softfloat_propagateNaNExtF80M(
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348 | const struct extFloat80M *aSPtr,
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349 | const struct extFloat80M *bSPtr,
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350 | struct extFloat80M *zSPtr
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351 | );
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352 |
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353 | /*----------------------------------------------------------------------------
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354 | | The bit pattern for a default generated 128-bit floating-point NaN.
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355 | *----------------------------------------------------------------------------*/
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356 | #define defaultNaNF128UI96 0x7FFF8000
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357 | #define defaultNaNF128UI64 0
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358 | #define defaultNaNF128UI32 0
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359 | #define defaultNaNF128UI0 0
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360 |
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361 | /*----------------------------------------------------------------------------
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362 | | Assuming the 128-bit floating-point value pointed to by 'aWPtr' is a NaN,
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363 | | converts this NaN to the common NaN form, and stores the resulting common
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364 | | NaN at the location pointed to by 'zPtr'. If the NaN is a signaling NaN,
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365 | | the invalid exception is raised. Argument 'aWPtr' points to an array of
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366 | | four 32-bit elements that concatenate in the platform's normal endian order
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367 | | to form a 128-bit floating-point value.
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368 | *----------------------------------------------------------------------------*/
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369 | #define softfloat_f128MToCommonNaN( aWPtr, zPtr ) if ( ! ((aWPtr)[indexWordHi( 4 )] & UINT64_C( 0x0000800000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )
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370 |
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371 | /*----------------------------------------------------------------------------
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372 | | Converts the common NaN pointed to by 'aPtr' into a 128-bit floating-point
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373 | | NaN, and stores this NaN at the location pointed to by 'zWPtr'. Argument
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374 | | 'zWPtr' points to an array of four 32-bit elements that concatenate in the
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375 | | platform's normal endian order to form a 128-bit floating-point value.
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376 | *----------------------------------------------------------------------------*/
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377 | #if defined INLINE && ! defined softfloat_commonNaNToF128M
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378 | INLINE
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379 | void
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380 | softfloat_commonNaNToF128M( const struct commonNaN *aPtr, uint32_t *zWPtr )
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381 | {
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382 | zWPtr[indexWord( 4, 3 )] = defaultNaNF128UI96;
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383 | zWPtr[indexWord( 4, 2 )] = defaultNaNF128UI64;
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384 | zWPtr[indexWord( 4, 1 )] = defaultNaNF128UI32;
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385 | zWPtr[indexWord( 4, 0 )] = defaultNaNF128UI0;
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386 | }
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387 | #else
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388 | void
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389 | softfloat_commonNaNToF128M( const struct commonNaN *aPtr, uint32_t *zWPtr );
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390 | #endif
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391 |
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392 | /*----------------------------------------------------------------------------
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393 | | Assuming at least one of the two 128-bit floating-point values pointed to by
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394 | | 'aWPtr' and 'bWPtr' is a NaN, stores the combined NaN result at the location
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395 | | pointed to by 'zWPtr'. If either original floating-point value is a
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396 | | signaling NaN, the invalid exception is raised. Each of 'aWPtr', 'bWPtr',
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397 | | and 'zWPtr' points to an array of four 32-bit elements that concatenate in
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398 | | the platform's normal endian order to form a 128-bit floating-point value.
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399 | *----------------------------------------------------------------------------*/
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400 | void
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401 | softfloat_propagateNaNF128M(
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402 | const uint32_t *aWPtr, const uint32_t *bWPtr, uint32_t *zWPtr );
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403 |
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404 | #endif
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405 |
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406 | #endif
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407 |
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