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, 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_afterRounding
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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 0xFFFFFFFF
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56 | #define ui32_fromNaN 0xFFFFFFFF
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57 | #define i32_fromPosOverflow (-0x7FFFFFFF - 1)
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58 | #define i32_fromNegOverflow (-0x7FFFFFFF - 1)
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59 | #define i32_fromNaN (-0x7FFFFFFF - 1)
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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 UINT64_C( 0xFFFFFFFFFFFFFFFF )
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67 | #define ui64_fromNaN UINT64_C( 0xFFFFFFFFFFFFFFFF )
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68 | #define i64_fromPosOverflow (-INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1)
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69 | #define i64_fromNegOverflow (-INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1)
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70 | #define i64_fromNaN (-INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1)
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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 {
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77 | bool sign;
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78 | #ifdef LITTLEENDIAN
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79 | uint64_t v0, v64;
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80 | #else
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81 | uint64_t v64, v0;
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82 | #endif
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83 | };
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84 |
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85 | /*----------------------------------------------------------------------------
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86 | | The bit pattern for a default generated 16-bit floating-point NaN.
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87 | *----------------------------------------------------------------------------*/
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88 | #define defaultNaNF16UI 0xFE00
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89 |
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90 | /*----------------------------------------------------------------------------
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91 | | Returns true when 16-bit unsigned integer 'uiA' has the bit pattern of a
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92 | | 16-bit floating-point signaling NaN.
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93 | | Note: This macro evaluates its argument more than once.
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94 | *----------------------------------------------------------------------------*/
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95 | #define softfloat_isSigNaNF16UI( uiA ) ((((uiA) & 0x7E00) == 0x7C00) && ((uiA) & 0x01FF))
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96 |
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97 | /*----------------------------------------------------------------------------
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98 | | Assuming 'uiA' has the bit pattern of a 16-bit floating-point NaN, converts
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99 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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100 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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101 | | exception is raised.
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102 | *----------------------------------------------------------------------------*/
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103 | void softfloat_f16UIToCommonNaN( uint_fast16_t uiA, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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104 |
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105 | /*----------------------------------------------------------------------------
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106 | | Converts the common NaN pointed to by 'aPtr' into a 16-bit floating-point
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107 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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108 | *----------------------------------------------------------------------------*/
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109 | uint_fast16_t softfloat_commonNaNToF16UI( const struct commonNaN *aPtr );
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110 |
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111 | /*----------------------------------------------------------------------------
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112 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 16-bit floating-
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113 | | point values, at least one of which is a NaN, returns the bit pattern of
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114 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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115 | | signaling NaN, the invalid exception is raised.
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116 | *----------------------------------------------------------------------------*/
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117 | uint_fast16_t
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118 | softfloat_propagateNaNF16UI( uint_fast16_t uiA, uint_fast16_t uiB SOFTFLOAT_STATE_DECL_COMMA );
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119 |
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120 | /*----------------------------------------------------------------------------
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121 | | The bit pattern for a default generated 32-bit floating-point NaN.
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122 | *----------------------------------------------------------------------------*/
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123 | #define defaultNaNF32UI 0xFFC00000
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124 |
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125 | /*----------------------------------------------------------------------------
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126 | | Returns true when 32-bit unsigned integer 'uiA' has the bit pattern of a
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127 | | 32-bit floating-point signaling NaN.
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128 | | Note: This macro evaluates its argument more than once.
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129 | *----------------------------------------------------------------------------*/
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130 | #define softfloat_isSigNaNF32UI( uiA ) ((((uiA) & 0x7FC00000) == 0x7F800000) && ((uiA) & 0x003FFFFF))
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131 |
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132 | /*----------------------------------------------------------------------------
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133 | | Assuming 'uiA' has the bit pattern of a 32-bit floating-point NaN, converts
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134 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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135 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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136 | | exception is raised.
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137 | *----------------------------------------------------------------------------*/
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138 | void softfloat_f32UIToCommonNaN( uint_fast32_t uiA, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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139 |
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140 | /*----------------------------------------------------------------------------
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141 | | Converts the common NaN pointed to by 'aPtr' into a 32-bit floating-point
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142 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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143 | *----------------------------------------------------------------------------*/
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144 | uint_fast32_t softfloat_commonNaNToF32UI( const struct commonNaN *aPtr );
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145 |
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146 | /*----------------------------------------------------------------------------
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147 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 32-bit floating-
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148 | | point values, at least one of which is a NaN, returns the bit pattern of
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149 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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150 | | signaling NaN, the invalid exception is raised.
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151 | *----------------------------------------------------------------------------*/
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152 | uint_fast32_t
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153 | softfloat_propagateNaNF32UI( uint_fast32_t uiA, uint_fast32_t uiB SOFTFLOAT_STATE_DECL_COMMA );
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154 |
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155 | /*----------------------------------------------------------------------------
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156 | | The bit pattern for a default generated 64-bit floating-point NaN.
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157 | *----------------------------------------------------------------------------*/
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158 | #define defaultNaNF64UI UINT64_C( 0xFFF8000000000000 )
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159 |
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160 | /*----------------------------------------------------------------------------
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161 | | Returns true when 64-bit unsigned integer 'uiA' has the bit pattern of a
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162 | | 64-bit floating-point signaling NaN.
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163 | | Note: This macro evaluates its argument more than once.
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164 | *----------------------------------------------------------------------------*/
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165 | #define softfloat_isSigNaNF64UI( uiA ) ((((uiA) & UINT64_C( 0x7FF8000000000000 )) == UINT64_C( 0x7FF0000000000000 )) && ((uiA) & UINT64_C( 0x0007FFFFFFFFFFFF )))
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166 |
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167 | /*----------------------------------------------------------------------------
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168 | | Assuming 'uiA' has the bit pattern of a 64-bit floating-point NaN, converts
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169 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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170 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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171 | | exception is raised.
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172 | *----------------------------------------------------------------------------*/
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173 | void softfloat_f64UIToCommonNaN( uint_fast64_t uiA, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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174 |
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175 | /*----------------------------------------------------------------------------
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176 | | Converts the common NaN pointed to by 'aPtr' into a 64-bit floating-point
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177 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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178 | *----------------------------------------------------------------------------*/
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179 | uint_fast64_t softfloat_commonNaNToF64UI( const struct commonNaN *aPtr );
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180 |
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181 | /*----------------------------------------------------------------------------
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182 | | Interpreting 'uiA' and 'uiB' as the bit patterns of two 64-bit floating-
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183 | | point values, at least one of which is a NaN, returns the bit pattern of
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184 | | the combined NaN result. If either 'uiA' or 'uiB' has the pattern of a
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185 | | signaling NaN, the invalid exception is raised.
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186 | *----------------------------------------------------------------------------*/
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187 | uint_fast64_t
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188 | softfloat_propagateNaNF64UI( uint_fast64_t uiA, uint_fast64_t uiB SOFTFLOAT_STATE_DECL_COMMA );
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189 |
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190 | /*----------------------------------------------------------------------------
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191 | | The bit pattern for a default generated 80-bit extended floating-point NaN.
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192 | *----------------------------------------------------------------------------*/
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193 | #define defaultNaNExtF80UI64 0xFFFF
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194 | #define defaultNaNExtF80UI0 UINT64_C( 0xC000000000000000 )
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195 |
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196 | /*----------------------------------------------------------------------------
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197 | | Returns true when the 80-bit unsigned integer formed from concatenating
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198 | | 16-bit 'uiA64' and 64-bit 'uiA0' has the bit pattern of an 80-bit extended
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199 | | floating-point signaling NaN.
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200 | | Note: This macro evaluates its arguments more than once.
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201 | *----------------------------------------------------------------------------*/
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202 | #define softfloat_isSigNaNExtF80UI( uiA64, uiA0 ) ((((uiA64) & 0x7FFF) == 0x7FFF) && ! ((uiA0) & UINT64_C( 0x4000000000000000 )) && ((uiA0) & UINT64_C( 0x3FFFFFFFFFFFFFFF )))
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203 |
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204 | #ifdef SOFTFLOAT_FAST_INT64
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205 |
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206 | /*----------------------------------------------------------------------------
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207 | | The following functions are needed only when 'SOFTFLOAT_FAST_INT64' is
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208 | | defined.
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209 | *----------------------------------------------------------------------------*/
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210 |
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211 | /*----------------------------------------------------------------------------
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212 | | Assuming the unsigned integer formed from concatenating 'uiA64' and 'uiA0'
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213 | | has the bit pattern of an 80-bit extended floating-point NaN, converts
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214 | | this NaN to the common NaN form, and stores the resulting common NaN at the
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215 | | location pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid
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216 | | exception is raised.
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217 | *----------------------------------------------------------------------------*/
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218 | void
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219 | softfloat_extF80UIToCommonNaN(
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220 | uint_fast16_t uiA64, uint_fast64_t uiA0, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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221 |
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222 | /*----------------------------------------------------------------------------
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223 | | Converts the common NaN pointed to by 'aPtr' into an 80-bit extended
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224 | | floating-point NaN, and returns the bit pattern of this value as an unsigned
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225 | | integer.
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226 | *----------------------------------------------------------------------------*/
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227 | struct uint128 softfloat_commonNaNToExtF80UI( const struct commonNaN *aPtr );
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228 |
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229 | /*----------------------------------------------------------------------------
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230 | | Interpreting the unsigned integer formed from concatenating 'uiA64' and
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231 | | 'uiA0' as an 80-bit extended floating-point value, and likewise interpreting
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232 | | the unsigned integer formed from concatenating 'uiB64' and 'uiB0' as another
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233 | | 80-bit extended floating-point value, and assuming at least on of these
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234 | | floating-point values is a NaN, returns the bit pattern of the combined NaN
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235 | | result. If either original floating-point value is a signaling NaN, the
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236 | | invalid exception is raised.
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237 | *----------------------------------------------------------------------------*/
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238 | struct uint128
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239 | softfloat_propagateNaNExtF80UI(
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240 | uint_fast16_t uiA64,
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241 | uint_fast64_t uiA0,
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242 | uint_fast16_t uiB64,
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243 | uint_fast64_t uiB0
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244 | SOFTFLOAT_STATE_DECL_COMMA
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245 | );
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246 |
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247 | /*----------------------------------------------------------------------------
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248 | | The bit pattern for a default generated 128-bit floating-point NaN.
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249 | *----------------------------------------------------------------------------*/
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250 | #define defaultNaNF128UI64 UINT64_C( 0xFFFF800000000000 )
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251 | #define defaultNaNF128UI0 UINT64_C( 0 )
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252 |
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253 | /*----------------------------------------------------------------------------
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254 | | Returns true when the 128-bit unsigned integer formed from concatenating
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255 | | 64-bit 'uiA64' and 64-bit 'uiA0' has the bit pattern of a 128-bit floating-
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256 | | point signaling NaN.
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257 | | Note: This macro evaluates its arguments more than once.
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258 | *----------------------------------------------------------------------------*/
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259 | #define softfloat_isSigNaNF128UI( uiA64, uiA0 ) ((((uiA64) & UINT64_C( 0x7FFF800000000000 )) == UINT64_C( 0x7FFF000000000000 )) && ((uiA0) || ((uiA64) & UINT64_C( 0x00007FFFFFFFFFFF ))))
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260 |
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261 | /*----------------------------------------------------------------------------
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262 | | Assuming the unsigned integer formed from concatenating 'uiA64' and 'uiA0'
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263 | | has the bit pattern of a 128-bit floating-point NaN, converts this NaN to
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264 | | the common NaN form, and stores the resulting common NaN at the location
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265 | | pointed to by 'zPtr'. If the NaN is a signaling NaN, the invalid exception
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266 | | is raised.
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267 | *----------------------------------------------------------------------------*/
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268 | void
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269 | softfloat_f128UIToCommonNaN(
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270 | uint_fast64_t uiA64, uint_fast64_t uiA0, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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271 |
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272 | /*----------------------------------------------------------------------------
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273 | | Converts the common NaN pointed to by 'aPtr' into a 128-bit floating-point
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274 | | NaN, and returns the bit pattern of this value as an unsigned integer.
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275 | *----------------------------------------------------------------------------*/
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276 | struct uint128 softfloat_commonNaNToF128UI( const struct commonNaN * );
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277 |
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278 | /*----------------------------------------------------------------------------
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279 | | Interpreting the unsigned integer formed from concatenating 'uiA64' and
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280 | | 'uiA0' as a 128-bit floating-point value, and likewise interpreting the
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281 | | unsigned integer formed from concatenating 'uiB64' and 'uiB0' as another
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282 | | 128-bit floating-point value, and assuming at least on of these floating-
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283 | | point values is a NaN, returns the bit pattern of the combined NaN result.
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284 | | If either original floating-point value is a signaling NaN, the invalid
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285 | | exception is raised.
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286 | *----------------------------------------------------------------------------*/
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287 | struct uint128
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288 | softfloat_propagateNaNF128UI(
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289 | uint_fast64_t uiA64,
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290 | uint_fast64_t uiA0,
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291 | uint_fast64_t uiB64,
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292 | uint_fast64_t uiB0
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293 | SOFTFLOAT_STATE_DECL_COMMA
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294 | );
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295 |
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296 | #else
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297 |
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298 | /*----------------------------------------------------------------------------
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299 | | The following functions are needed only when 'SOFTFLOAT_FAST_INT64' is not
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300 | | defined.
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301 | *----------------------------------------------------------------------------*/
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302 |
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303 | /*----------------------------------------------------------------------------
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304 | | Assuming the 80-bit extended floating-point value pointed to by 'aSPtr' is
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305 | | a NaN, converts this NaN to the common NaN form, and stores the resulting
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306 | | common NaN at the location pointed to by 'zPtr'. If the NaN is a signaling
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307 | | NaN, the invalid exception is raised.
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308 | *----------------------------------------------------------------------------*/
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309 | void
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310 | softfloat_extF80MToCommonNaN(
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311 | const struct extFloat80M *aSPtr, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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312 |
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313 | /*----------------------------------------------------------------------------
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314 | | Converts the common NaN pointed to by 'aPtr' into an 80-bit extended
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315 | | floating-point NaN, and stores this NaN at the location pointed to by
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316 | | 'zSPtr'.
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317 | *----------------------------------------------------------------------------*/
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318 | void
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319 | softfloat_commonNaNToExtF80M(
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320 | const struct commonNaN *aPtr, struct extFloat80M *zSPtr );
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321 |
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322 | /*----------------------------------------------------------------------------
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323 | | Assuming at least one of the two 80-bit extended floating-point values
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324 | | pointed to by 'aSPtr' and 'bSPtr' is a NaN, stores the combined NaN result
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325 | | at the location pointed to by 'zSPtr'. If either original floating-point
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326 | | value is a signaling NaN, the invalid exception is raised.
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327 | *----------------------------------------------------------------------------*/
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328 | void
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329 | softfloat_propagateNaNExtF80M(
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330 | const struct extFloat80M *aSPtr,
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331 | const struct extFloat80M *bSPtr,
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332 | struct extFloat80M *zSPtr
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333 | SOFTFLOAT_STATE_DECL_COMMA
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334 | );
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335 |
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336 | /*----------------------------------------------------------------------------
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337 | | The bit pattern for a default generated 128-bit floating-point NaN.
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338 | *----------------------------------------------------------------------------*/
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339 | #define defaultNaNF128UI96 0xFFFF8000
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340 | #define defaultNaNF128UI64 0
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341 | #define defaultNaNF128UI32 0
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342 | #define defaultNaNF128UI0 0
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343 |
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344 | /*----------------------------------------------------------------------------
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345 | | Assuming the 128-bit floating-point value pointed to by 'aWPtr' is a NaN,
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346 | | converts this NaN to the common NaN form, and stores the resulting common
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347 | | NaN at the location pointed to by 'zPtr'. If the NaN is a signaling NaN,
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348 | | the invalid exception is raised. Argument 'aWPtr' points to an array of
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349 | | four 32-bit elements that concatenate in the platform's normal endian order
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350 | | to form a 128-bit floating-point value.
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351 | *----------------------------------------------------------------------------*/
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352 | void
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353 | softfloat_f128MToCommonNaN( const uint32_t *aWPtr, struct commonNaN *zPtr SOFTFLOAT_STATE_DECL_COMMA );
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354 |
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355 | /*----------------------------------------------------------------------------
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356 | | Converts the common NaN pointed to by 'aPtr' into a 128-bit floating-point
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357 | | NaN, and stores this NaN at the location pointed to by 'zWPtr'. Argument
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358 | | 'zWPtr' points to an array of four 32-bit elements that concatenate in the
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359 | | platform's normal endian order to form a 128-bit floating-point value.
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360 | *----------------------------------------------------------------------------*/
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361 | void
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362 | softfloat_commonNaNToF128M( const struct commonNaN *aPtr, uint32_t *zWPtr );
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363 |
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364 | /*----------------------------------------------------------------------------
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365 | | Assuming at least one of the two 128-bit floating-point values pointed to by
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366 | | 'aWPtr' and 'bWPtr' is a NaN, stores the combined NaN result at the location
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367 | | pointed to by 'zWPtr'. If either original floating-point value is a
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368 | | signaling NaN, the invalid exception is raised. Each of 'aWPtr', 'bWPtr',
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369 | | and 'zWPtr' points to an array of four 32-bit elements that concatenate in
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370 | | the platform's normal endian order to form a 128-bit floating-point value.
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371 | *----------------------------------------------------------------------------*/
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372 | void
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373 | softfloat_propagateNaNF128M(
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374 | const uint32_t *aWPtr, const uint32_t *bWPtr, uint32_t *zWPtr SOFTFLOAT_STATE_DECL_COMMA );
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375 |
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376 | #endif
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377 |
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378 | #endif
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379 |
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