root / fpu / softfloat-specialize.h @ de4af5f7
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1 | 158142c2 | bellard | |
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2 | 158142c2 | bellard | /*============================================================================
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3 | 158142c2 | bellard | |
4 | 158142c2 | bellard | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
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5 | 158142c2 | bellard | Arithmetic Package, Release 2b.
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6 | 158142c2 | bellard | |
7 | 158142c2 | bellard | Written by John R. Hauser. This work was made possible in part by the
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8 | 158142c2 | bellard | International Computer Science Institute, located at Suite 600, 1947 Center
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9 | 158142c2 | bellard | Street, Berkeley, California 94704. Funding was partially provided by the
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10 | 158142c2 | bellard | National Science Foundation under grant MIP-9311980. The original version
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11 | 158142c2 | bellard | of this code was written as part of a project to build a fixed-point vector
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12 | 158142c2 | bellard | processor in collaboration with the University of California at Berkeley,
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13 | 158142c2 | bellard | overseen by Profs. Nelson Morgan and John Wawrzynek. More information
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14 | 158142c2 | bellard | is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
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15 | 158142c2 | bellard | arithmetic/SoftFloat.html'.
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16 | 158142c2 | bellard | |
17 | 158142c2 | bellard | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
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18 | 158142c2 | bellard | been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
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19 | 158142c2 | bellard | RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
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20 | 158142c2 | bellard | AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
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21 | 158142c2 | bellard | COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
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22 | 158142c2 | bellard | EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
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23 | 158142c2 | bellard | INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
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24 | 158142c2 | bellard | OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
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25 | 158142c2 | bellard | |
26 | 158142c2 | bellard | Derivative works are acceptable, even for commercial purposes, so long as
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27 | 158142c2 | bellard | (1) the source code for the derivative work includes prominent notice that
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28 | 158142c2 | bellard | the work is derivative, and (2) the source code includes prominent notice with
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29 | 158142c2 | bellard | these four paragraphs for those parts of this code that are retained.
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30 | 158142c2 | bellard | |
31 | 158142c2 | bellard | =============================================================================*/
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32 | 158142c2 | bellard | |
33 | e9087750 | Aurelien Jarno | #if defined(TARGET_MIPS) || defined(TARGET_SH4)
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34 | 5a6932d5 | ths | #define SNAN_BIT_IS_ONE 1 |
35 | 5a6932d5 | ths | #else
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36 | 5a6932d5 | ths | #define SNAN_BIT_IS_ONE 0 |
37 | 5a6932d5 | ths | #endif
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38 | 5a6932d5 | ths | |
39 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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40 | 158142c2 | bellard | | Raises the exceptions specified by `flags'. Floating-point traps can be
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41 | 158142c2 | bellard | | defined here if desired. It is currently not possible for such a trap
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42 | 158142c2 | bellard | | to substitute a result value. If traps are not implemented, this routine
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43 | 158142c2 | bellard | | should be simply `float_exception_flags |= flags;'.
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44 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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45 | 158142c2 | bellard | |
46 | 158142c2 | bellard | void float_raise( int8 flags STATUS_PARAM )
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47 | 158142c2 | bellard | { |
48 | 158142c2 | bellard | STATUS(float_exception_flags) |= flags; |
49 | 158142c2 | bellard | } |
50 | 158142c2 | bellard | |
51 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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52 | 158142c2 | bellard | | Internal canonical NaN format.
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53 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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54 | 158142c2 | bellard | typedef struct { |
55 | 158142c2 | bellard | flag sign; |
56 | 158142c2 | bellard | bits64 high, low; |
57 | 158142c2 | bellard | } commonNaNT; |
58 | 158142c2 | bellard | |
59 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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60 | 158142c2 | bellard | | The pattern for a default generated single-precision NaN.
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61 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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62 | 85016c98 | ths | #if defined(TARGET_SPARC)
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63 | 85016c98 | ths | #define float32_default_nan make_float32(0x7FFFFFFF) |
64 | e024e881 | Aurelien Jarno | #elif defined(TARGET_PPC) || defined(TARGET_ARM) || defined(TARGET_ALPHA)
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65 | 85016c98 | ths | #define float32_default_nan make_float32(0x7FC00000) |
66 | 85016c98 | ths | #elif SNAN_BIT_IS_ONE
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67 | f090c9d4 | pbrook | #define float32_default_nan make_float32(0x7FBFFFFF) |
68 | b645bb48 | ths | #else
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69 | f090c9d4 | pbrook | #define float32_default_nan make_float32(0xFFC00000) |
70 | b645bb48 | ths | #endif
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71 | 158142c2 | bellard | |
72 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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73 | 5a6932d5 | ths | | Returns 1 if the single-precision floating-point value `a' is a quiet
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74 | 5a6932d5 | ths | | NaN; otherwise returns 0.
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75 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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76 | 158142c2 | bellard | |
77 | 18569871 | Peter Maydell | int float32_is_quiet_nan( float32 a_ )
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78 | 158142c2 | bellard | { |
79 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
80 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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81 | b645bb48 | ths | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
82 | b645bb48 | ths | #else
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83 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
84 | b645bb48 | ths | #endif
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85 | 158142c2 | bellard | } |
86 | 158142c2 | bellard | |
87 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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88 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a signaling
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89 | 158142c2 | bellard | | NaN; otherwise returns 0.
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90 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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91 | 158142c2 | bellard | |
92 | f090c9d4 | pbrook | int float32_is_signaling_nan( float32 a_ )
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93 | 158142c2 | bellard | { |
94 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
95 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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96 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
97 | b645bb48 | ths | #else
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98 | 158142c2 | bellard | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
99 | b645bb48 | ths | #endif
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100 | 158142c2 | bellard | } |
101 | 158142c2 | bellard | |
102 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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103 | b408dbde | Peter Maydell | | Returns a quiet NaN if the single-precision floating point value `a' is a
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104 | b408dbde | Peter Maydell | | signaling NaN; otherwise returns `a'.
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105 | b408dbde | Peter Maydell | *----------------------------------------------------------------------------*/
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106 | b408dbde | Peter Maydell | |
107 | b408dbde | Peter Maydell | float32 float32_maybe_silence_nan( float32 a_ ) |
108 | b408dbde | Peter Maydell | { |
109 | b408dbde | Peter Maydell | if (float32_is_signaling_nan(a_)) {
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110 | b408dbde | Peter Maydell | #if SNAN_BIT_IS_ONE
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111 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
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112 | 93ae1c6f | Aurelien Jarno | return float32_default_nan;
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113 | 93ae1c6f | Aurelien Jarno | # else
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114 | 93ae1c6f | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
115 | 93ae1c6f | Aurelien Jarno | # endif
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116 | b408dbde | Peter Maydell | #else
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117 | 93ae1c6f | Aurelien Jarno | bits32 a = float32_val(a_); |
118 | b408dbde | Peter Maydell | a |= (1 << 22); |
119 | b408dbde | Peter Maydell | return make_float32(a);
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120 | 93ae1c6f | Aurelien Jarno | #endif
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121 | b408dbde | Peter Maydell | } |
122 | b408dbde | Peter Maydell | return a_;
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123 | b408dbde | Peter Maydell | } |
124 | b408dbde | Peter Maydell | |
125 | b408dbde | Peter Maydell | /*----------------------------------------------------------------------------
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126 | 158142c2 | bellard | | Returns the result of converting the single-precision floating-point NaN
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127 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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128 | 158142c2 | bellard | | exception is raised.
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129 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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130 | 158142c2 | bellard | |
131 | 158142c2 | bellard | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
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132 | 158142c2 | bellard | { |
133 | 158142c2 | bellard | commonNaNT z; |
134 | 158142c2 | bellard | |
135 | 158142c2 | bellard | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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136 | f090c9d4 | pbrook | z.sign = float32_val(a)>>31;
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137 | 158142c2 | bellard | z.low = 0;
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138 | f090c9d4 | pbrook | z.high = ( (bits64) float32_val(a) )<<41;
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139 | 158142c2 | bellard | return z;
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140 | 158142c2 | bellard | } |
141 | 158142c2 | bellard | |
142 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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143 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the single-
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144 | 158142c2 | bellard | | precision floating-point format.
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145 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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146 | 158142c2 | bellard | |
147 | 158142c2 | bellard | static float32 commonNaNToFloat32( commonNaNT a )
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148 | 158142c2 | bellard | { |
149 | 85016c98 | ths | bits32 mantissa = a.high>>41;
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150 | 85016c98 | ths | if ( mantissa )
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151 | 85016c98 | ths | return make_float32(
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152 | 85016c98 | ths | ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) ); |
153 | 85016c98 | ths | else
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154 | 85016c98 | ths | return float32_default_nan;
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155 | 158142c2 | bellard | } |
156 | 158142c2 | bellard | |
157 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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158 | 354f211b | Peter Maydell | | Select which NaN to propagate for a two-input operation.
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159 | 354f211b | Peter Maydell | | IEEE754 doesn't specify all the details of this, so the
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160 | 354f211b | Peter Maydell | | algorithm is target-specific.
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161 | 354f211b | Peter Maydell | | The routine is passed various bits of information about the
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162 | 354f211b | Peter Maydell | | two NaNs and should return 0 to select NaN a and 1 for NaN b.
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163 | 354f211b | Peter Maydell | | Note that signalling NaNs are always squashed to quiet NaNs
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164 | 1f398e08 | Aurelien Jarno | | by the caller, by calling floatXX_maybe_silence_nan() before
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165 | 1f398e08 | Aurelien Jarno | | returning them.
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166 | 354f211b | Peter Maydell | |
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167 | 354f211b | Peter Maydell | | aIsLargerSignificand is only valid if both a and b are NaNs
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168 | 354f211b | Peter Maydell | | of some kind, and is true if a has the larger significand,
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169 | 354f211b | Peter Maydell | | or if both a and b have the same significand but a is
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170 | 354f211b | Peter Maydell | | positive but b is negative. It is only needed for the x87
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171 | 354f211b | Peter Maydell | | tie-break rule.
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172 | 354f211b | Peter Maydell | *----------------------------------------------------------------------------*/
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173 | 354f211b | Peter Maydell | |
174 | 011da610 | Peter Maydell | #if defined(TARGET_ARM)
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175 | 011da610 | Peter Maydell | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
176 | 011da610 | Peter Maydell | flag aIsLargerSignificand) |
177 | 011da610 | Peter Maydell | { |
178 | 011da610 | Peter Maydell | /* ARM mandated NaN propagation rules: take the first of:
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179 | 011da610 | Peter Maydell | * 1. A if it is signaling
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180 | 011da610 | Peter Maydell | * 2. B if it is signaling
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181 | 011da610 | Peter Maydell | * 3. A (quiet)
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182 | 011da610 | Peter Maydell | * 4. B (quiet)
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183 | 011da610 | Peter Maydell | * A signaling NaN is always quietened before returning it.
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184 | 011da610 | Peter Maydell | */
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185 | 011da610 | Peter Maydell | if (aIsSNaN) {
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186 | 011da610 | Peter Maydell | return 0; |
187 | 011da610 | Peter Maydell | } else if (bIsSNaN) { |
188 | 011da610 | Peter Maydell | return 1; |
189 | 011da610 | Peter Maydell | } else if (aIsQNaN) { |
190 | 011da610 | Peter Maydell | return 0; |
191 | 011da610 | Peter Maydell | } else {
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192 | 011da610 | Peter Maydell | return 1; |
193 | 011da610 | Peter Maydell | } |
194 | 011da610 | Peter Maydell | } |
195 | 084d19ba | Aurelien Jarno | #elif defined(TARGET_MIPS)
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196 | 084d19ba | Aurelien Jarno | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
197 | 084d19ba | Aurelien Jarno | flag aIsLargerSignificand) |
198 | 084d19ba | Aurelien Jarno | { |
199 | 084d19ba | Aurelien Jarno | /* According to MIPS specifications, if one of the two operands is
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200 | 084d19ba | Aurelien Jarno | * a sNaN, a new qNaN has to be generated. This is done in
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201 | 084d19ba | Aurelien Jarno | * floatXX_maybe_silence_nan(). For qNaN inputs the specifications
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202 | 084d19ba | Aurelien Jarno | * says: "When possible, this QNaN result is one of the operand QNaN
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203 | 084d19ba | Aurelien Jarno | * values." In practice it seems that most implementations choose
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204 | 084d19ba | Aurelien Jarno | * the first operand if both operands are qNaN. In short this gives
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205 | 084d19ba | Aurelien Jarno | * the following rules:
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206 | 084d19ba | Aurelien Jarno | * 1. A if it is signaling
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207 | 084d19ba | Aurelien Jarno | * 2. B if it is signaling
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208 | 084d19ba | Aurelien Jarno | * 3. A (quiet)
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209 | 084d19ba | Aurelien Jarno | * 4. B (quiet)
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210 | 084d19ba | Aurelien Jarno | * A signaling NaN is always silenced before returning it.
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211 | 084d19ba | Aurelien Jarno | */
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212 | 084d19ba | Aurelien Jarno | if (aIsSNaN) {
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213 | 084d19ba | Aurelien Jarno | return 0; |
214 | 084d19ba | Aurelien Jarno | } else if (bIsSNaN) { |
215 | 084d19ba | Aurelien Jarno | return 1; |
216 | 084d19ba | Aurelien Jarno | } else if (aIsQNaN) { |
217 | 084d19ba | Aurelien Jarno | return 0; |
218 | 084d19ba | Aurelien Jarno | } else {
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219 | 084d19ba | Aurelien Jarno | return 1; |
220 | 084d19ba | Aurelien Jarno | } |
221 | 084d19ba | Aurelien Jarno | } |
222 | e024e881 | Aurelien Jarno | #elif defined(TARGET_PPC)
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223 | e024e881 | Aurelien Jarno | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
224 | e024e881 | Aurelien Jarno | flag aIsLargerSignificand) |
225 | e024e881 | Aurelien Jarno | { |
226 | e024e881 | Aurelien Jarno | /* PowerPC propagation rules:
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227 | e024e881 | Aurelien Jarno | * 1. A if it sNaN or qNaN
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228 | e024e881 | Aurelien Jarno | * 2. B if it sNaN or qNaN
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229 | e024e881 | Aurelien Jarno | * A signaling NaN is always silenced before returning it.
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230 | e024e881 | Aurelien Jarno | */
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231 | e024e881 | Aurelien Jarno | if (aIsSNaN || aIsQNaN) {
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232 | e024e881 | Aurelien Jarno | return 0; |
233 | e024e881 | Aurelien Jarno | } else {
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234 | e024e881 | Aurelien Jarno | return 1; |
235 | e024e881 | Aurelien Jarno | } |
236 | e024e881 | Aurelien Jarno | } |
237 | 011da610 | Peter Maydell | #else
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238 | 354f211b | Peter Maydell | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
239 | 354f211b | Peter Maydell | flag aIsLargerSignificand) |
240 | 354f211b | Peter Maydell | { |
241 | 354f211b | Peter Maydell | /* This implements x87 NaN propagation rules:
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242 | 354f211b | Peter Maydell | * SNaN + QNaN => return the QNaN
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243 | 354f211b | Peter Maydell | * two SNaNs => return the one with the larger significand, silenced
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244 | 354f211b | Peter Maydell | * two QNaNs => return the one with the larger significand
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245 | 354f211b | Peter Maydell | * SNaN and a non-NaN => return the SNaN, silenced
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246 | 354f211b | Peter Maydell | * QNaN and a non-NaN => return the QNaN
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247 | 354f211b | Peter Maydell | *
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248 | 354f211b | Peter Maydell | * If we get down to comparing significands and they are the same,
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249 | 354f211b | Peter Maydell | * return the NaN with the positive sign bit (if any).
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250 | 354f211b | Peter Maydell | */
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251 | 354f211b | Peter Maydell | if (aIsSNaN) {
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252 | 354f211b | Peter Maydell | if (bIsSNaN) {
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253 | 354f211b | Peter Maydell | return aIsLargerSignificand ? 0 : 1; |
254 | 354f211b | Peter Maydell | } |
255 | 354f211b | Peter Maydell | return bIsQNaN ? 1 : 0; |
256 | 354f211b | Peter Maydell | } |
257 | 354f211b | Peter Maydell | else if (aIsQNaN) { |
258 | 354f211b | Peter Maydell | if (bIsSNaN || !bIsQNaN)
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259 | 354f211b | Peter Maydell | return 0; |
260 | 354f211b | Peter Maydell | else {
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261 | 354f211b | Peter Maydell | return aIsLargerSignificand ? 0 : 1; |
262 | 354f211b | Peter Maydell | } |
263 | 354f211b | Peter Maydell | } else {
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264 | 354f211b | Peter Maydell | return 1; |
265 | 354f211b | Peter Maydell | } |
266 | 354f211b | Peter Maydell | } |
267 | 011da610 | Peter Maydell | #endif
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268 | 354f211b | Peter Maydell | |
269 | 354f211b | Peter Maydell | /*----------------------------------------------------------------------------
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270 | 158142c2 | bellard | | Takes two single-precision floating-point values `a' and `b', one of which
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271 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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272 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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273 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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274 | 158142c2 | bellard | |
275 | 158142c2 | bellard | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
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276 | 158142c2 | bellard | { |
277 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
278 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
279 | 1f398e08 | Aurelien Jarno | bits32 av, bv; |
280 | 158142c2 | bellard | |
281 | d735d695 | Aurelien Jarno | aIsQuietNaN = float32_is_quiet_nan( a ); |
282 | 158142c2 | bellard | aIsSignalingNaN = float32_is_signaling_nan( a ); |
283 | d735d695 | Aurelien Jarno | bIsQuietNaN = float32_is_quiet_nan( b ); |
284 | 158142c2 | bellard | bIsSignalingNaN = float32_is_signaling_nan( b ); |
285 | f090c9d4 | pbrook | av = float32_val(a); |
286 | f090c9d4 | pbrook | bv = float32_val(b); |
287 | 1f398e08 | Aurelien Jarno | |
288 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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289 | 354f211b | Peter Maydell | |
290 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) )
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291 | 10201602 | Aurelien Jarno | return float32_default_nan;
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292 | 10201602 | Aurelien Jarno | |
293 | 354f211b | Peter Maydell | if ((bits32)(av<<1) < (bits32)(bv<<1)) { |
294 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
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295 | 354f211b | Peter Maydell | } else if ((bits32)(bv<<1) < (bits32)(av<<1)) { |
296 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
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297 | 354f211b | Peter Maydell | } else {
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298 | 354f211b | Peter Maydell | aIsLargerSignificand = (av < bv) ? 1 : 0; |
299 | 158142c2 | bellard | } |
300 | 354f211b | Peter Maydell | |
301 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
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302 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
303 | 1f398e08 | Aurelien Jarno | return float32_maybe_silence_nan(b);
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304 | 354f211b | Peter Maydell | } else {
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305 | 1f398e08 | Aurelien Jarno | return float32_maybe_silence_nan(a);
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306 | 158142c2 | bellard | } |
307 | 158142c2 | bellard | } |
308 | 158142c2 | bellard | |
309 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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310 | 158142c2 | bellard | | The pattern for a default generated double-precision NaN.
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311 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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312 | 85016c98 | ths | #if defined(TARGET_SPARC)
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313 | 85016c98 | ths | #define float64_default_nan make_float64(LIT64( 0x7FFFFFFFFFFFFFFF )) |
314 | e024e881 | Aurelien Jarno | #elif defined(TARGET_PPC) || defined(TARGET_ARM) || defined(TARGET_ALPHA)
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315 | 85016c98 | ths | #define float64_default_nan make_float64(LIT64( 0x7FF8000000000000 )) |
316 | 85016c98 | ths | #elif SNAN_BIT_IS_ONE
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317 | f090c9d4 | pbrook | #define float64_default_nan make_float64(LIT64( 0x7FF7FFFFFFFFFFFF )) |
318 | b645bb48 | ths | #else
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319 | f090c9d4 | pbrook | #define float64_default_nan make_float64(LIT64( 0xFFF8000000000000 )) |
320 | b645bb48 | ths | #endif
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321 | 158142c2 | bellard | |
322 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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323 | 5a6932d5 | ths | | Returns 1 if the double-precision floating-point value `a' is a quiet
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324 | 5a6932d5 | ths | | NaN; otherwise returns 0.
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325 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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326 | 158142c2 | bellard | |
327 | 18569871 | Peter Maydell | int float64_is_quiet_nan( float64 a_ )
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328 | 158142c2 | bellard | { |
329 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
330 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
331 | b645bb48 | ths | return
|
332 | b645bb48 | ths | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
333 | b645bb48 | ths | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
|
334 | b645bb48 | ths | #else
|
335 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
336 | b645bb48 | ths | #endif
|
337 | 158142c2 | bellard | } |
338 | 158142c2 | bellard | |
339 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
340 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a signaling
|
341 | 158142c2 | bellard | | NaN; otherwise returns 0.
|
342 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
343 | 158142c2 | bellard | |
344 | f090c9d4 | pbrook | int float64_is_signaling_nan( float64 a_ )
|
345 | 158142c2 | bellard | { |
346 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
347 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
348 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
349 | b645bb48 | ths | #else
|
350 | 158142c2 | bellard | return
|
351 | 158142c2 | bellard | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
352 | 158142c2 | bellard | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
|
353 | b645bb48 | ths | #endif
|
354 | 158142c2 | bellard | } |
355 | 158142c2 | bellard | |
356 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
357 | b408dbde | Peter Maydell | | Returns a quiet NaN if the double-precision floating point value `a' is a
|
358 | b408dbde | Peter Maydell | | signaling NaN; otherwise returns `a'.
|
359 | b408dbde | Peter Maydell | *----------------------------------------------------------------------------*/
|
360 | b408dbde | Peter Maydell | |
361 | b408dbde | Peter Maydell | float64 float64_maybe_silence_nan( float64 a_ ) |
362 | b408dbde | Peter Maydell | { |
363 | b408dbde | Peter Maydell | if (float64_is_signaling_nan(a_)) {
|
364 | b408dbde | Peter Maydell | #if SNAN_BIT_IS_ONE
|
365 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
366 | 93ae1c6f | Aurelien Jarno | return float64_default_nan;
|
367 | 93ae1c6f | Aurelien Jarno | # else
|
368 | 93ae1c6f | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
369 | 93ae1c6f | Aurelien Jarno | # endif
|
370 | b408dbde | Peter Maydell | #else
|
371 | 93ae1c6f | Aurelien Jarno | bits64 a = float64_val(a_); |
372 | b408dbde | Peter Maydell | a |= LIT64( 0x0008000000000000 );
|
373 | b408dbde | Peter Maydell | return make_float64(a);
|
374 | 93ae1c6f | Aurelien Jarno | #endif
|
375 | b408dbde | Peter Maydell | } |
376 | b408dbde | Peter Maydell | return a_;
|
377 | b408dbde | Peter Maydell | } |
378 | b408dbde | Peter Maydell | |
379 | b408dbde | Peter Maydell | /*----------------------------------------------------------------------------
|
380 | 158142c2 | bellard | | Returns the result of converting the double-precision floating-point NaN
|
381 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
382 | 158142c2 | bellard | | exception is raised.
|
383 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
384 | 158142c2 | bellard | |
385 | 158142c2 | bellard | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
|
386 | 158142c2 | bellard | { |
387 | 158142c2 | bellard | commonNaNT z; |
388 | 158142c2 | bellard | |
389 | 158142c2 | bellard | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
390 | f090c9d4 | pbrook | z.sign = float64_val(a)>>63;
|
391 | 158142c2 | bellard | z.low = 0;
|
392 | f090c9d4 | pbrook | z.high = float64_val(a)<<12;
|
393 | 158142c2 | bellard | return z;
|
394 | 158142c2 | bellard | } |
395 | 158142c2 | bellard | |
396 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
397 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the double-
|
398 | 158142c2 | bellard | | precision floating-point format.
|
399 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
400 | 158142c2 | bellard | |
401 | 158142c2 | bellard | static float64 commonNaNToFloat64( commonNaNT a )
|
402 | 158142c2 | bellard | { |
403 | 85016c98 | ths | bits64 mantissa = a.high>>12;
|
404 | 85016c98 | ths | |
405 | 85016c98 | ths | if ( mantissa )
|
406 | 85016c98 | ths | return make_float64(
|
407 | 85016c98 | ths | ( ( (bits64) a.sign )<<63 )
|
408 | 85016c98 | ths | | LIT64( 0x7FF0000000000000 )
|
409 | 85016c98 | ths | | ( a.high>>12 ));
|
410 | 85016c98 | ths | else
|
411 | 85016c98 | ths | return float64_default_nan;
|
412 | 158142c2 | bellard | } |
413 | 158142c2 | bellard | |
414 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
415 | 158142c2 | bellard | | Takes two double-precision floating-point values `a' and `b', one of which
|
416 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
|
417 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
|
418 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
419 | 158142c2 | bellard | |
420 | 158142c2 | bellard | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
|
421 | 158142c2 | bellard | { |
422 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
423 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
424 | 1f398e08 | Aurelien Jarno | bits64 av, bv; |
425 | 158142c2 | bellard | |
426 | d735d695 | Aurelien Jarno | aIsQuietNaN = float64_is_quiet_nan( a ); |
427 | 158142c2 | bellard | aIsSignalingNaN = float64_is_signaling_nan( a ); |
428 | d735d695 | Aurelien Jarno | bIsQuietNaN = float64_is_quiet_nan( b ); |
429 | 158142c2 | bellard | bIsSignalingNaN = float64_is_signaling_nan( b ); |
430 | f090c9d4 | pbrook | av = float64_val(a); |
431 | f090c9d4 | pbrook | bv = float64_val(b); |
432 | 1f398e08 | Aurelien Jarno | |
433 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
434 | 354f211b | Peter Maydell | |
435 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) )
|
436 | 10201602 | Aurelien Jarno | return float64_default_nan;
|
437 | 10201602 | Aurelien Jarno | |
438 | 354f211b | Peter Maydell | if ((bits64)(av<<1) < (bits64)(bv<<1)) { |
439 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
440 | 354f211b | Peter Maydell | } else if ((bits64)(bv<<1) < (bits64)(av<<1)) { |
441 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
442 | 354f211b | Peter Maydell | } else {
|
443 | 354f211b | Peter Maydell | aIsLargerSignificand = (av < bv) ? 1 : 0; |
444 | 158142c2 | bellard | } |
445 | 354f211b | Peter Maydell | |
446 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
447 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
448 | 1f398e08 | Aurelien Jarno | return float64_maybe_silence_nan(b);
|
449 | 354f211b | Peter Maydell | } else {
|
450 | 1f398e08 | Aurelien Jarno | return float64_maybe_silence_nan(a);
|
451 | 158142c2 | bellard | } |
452 | 158142c2 | bellard | } |
453 | 158142c2 | bellard | |
454 | 158142c2 | bellard | #ifdef FLOATX80
|
455 | 158142c2 | bellard | |
456 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
457 | 158142c2 | bellard | | The pattern for a default generated extended double-precision NaN. The
|
458 | 158142c2 | bellard | | `high' and `low' values hold the most- and least-significant bits,
|
459 | 158142c2 | bellard | | respectively.
|
460 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
461 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
462 | 5a6932d5 | ths | #define floatx80_default_nan_high 0x7FFF |
463 | 5a6932d5 | ths | #define floatx80_default_nan_low LIT64( 0xBFFFFFFFFFFFFFFF ) |
464 | 5a6932d5 | ths | #else
|
465 | 158142c2 | bellard | #define floatx80_default_nan_high 0xFFFF |
466 | 158142c2 | bellard | #define floatx80_default_nan_low LIT64( 0xC000000000000000 ) |
467 | 5a6932d5 | ths | #endif
|
468 | 158142c2 | bellard | |
469 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
470 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
|
471 | de4af5f7 | Aurelien Jarno | | quiet NaN; otherwise returns 0. This slightly differs from the same
|
472 | de4af5f7 | Aurelien Jarno | | function for other types as floatx80 has an explicit bit.
|
473 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
474 | 158142c2 | bellard | |
475 | 18569871 | Peter Maydell | int floatx80_is_quiet_nan( floatx80 a )
|
476 | 158142c2 | bellard | { |
477 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
478 | 5a6932d5 | ths | bits64 aLow; |
479 | 158142c2 | bellard | |
480 | 5a6932d5 | ths | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
481 | 5a6932d5 | ths | return
|
482 | 5a6932d5 | ths | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
483 | 5a6932d5 | ths | && (bits64) ( aLow<<1 )
|
484 | 5a6932d5 | ths | && ( a.low == aLow ); |
485 | 5a6932d5 | ths | #else
|
486 | de4af5f7 | Aurelien Jarno | return ( ( a.high & 0x7FFF ) == 0x7FFF ) |
487 | de4af5f7 | Aurelien Jarno | && (LIT64( 0x8000000000000000 ) <= ((bits64) ( a.low<<1 ))); |
488 | 5a6932d5 | ths | #endif
|
489 | 158142c2 | bellard | } |
490 | 158142c2 | bellard | |
491 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
492 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
|
493 | de4af5f7 | Aurelien Jarno | | signaling NaN; otherwise returns 0. This slightly differs from the same
|
494 | de4af5f7 | Aurelien Jarno | | function for other types as floatx80 has an explicit bit.
|
495 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
496 | 158142c2 | bellard | |
497 | 750afe93 | bellard | int floatx80_is_signaling_nan( floatx80 a )
|
498 | 158142c2 | bellard | { |
499 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
500 | de4af5f7 | Aurelien Jarno | return ( ( a.high & 0x7FFF ) == 0x7FFF ) |
501 | de4af5f7 | Aurelien Jarno | && (LIT64( 0x8000000000000000 ) <= ((bits64) ( a.low<<1 ))); |
502 | 5a6932d5 | ths | #else
|
503 | 158142c2 | bellard | bits64 aLow; |
504 | 158142c2 | bellard | |
505 | 158142c2 | bellard | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
506 | 158142c2 | bellard | return
|
507 | 158142c2 | bellard | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
508 | 158142c2 | bellard | && (bits64) ( aLow<<1 )
|
509 | 158142c2 | bellard | && ( a.low == aLow ); |
510 | 5a6932d5 | ths | #endif
|
511 | 158142c2 | bellard | } |
512 | 158142c2 | bellard | |
513 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
514 | f6a7d92a | Aurelien Jarno | | Returns a quiet NaN if the extended double-precision floating point value
|
515 | f6a7d92a | Aurelien Jarno | | `a' is a signaling NaN; otherwise returns `a'.
|
516 | f6a7d92a | Aurelien Jarno | *----------------------------------------------------------------------------*/
|
517 | f6a7d92a | Aurelien Jarno | |
518 | f6a7d92a | Aurelien Jarno | floatx80 floatx80_maybe_silence_nan( floatx80 a ) |
519 | f6a7d92a | Aurelien Jarno | { |
520 | f6a7d92a | Aurelien Jarno | if (floatx80_is_signaling_nan(a)) {
|
521 | f6a7d92a | Aurelien Jarno | #if SNAN_BIT_IS_ONE
|
522 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
523 | f6a7d92a | Aurelien Jarno | a.low = floatx80_default_nan_low; |
524 | f6a7d92a | Aurelien Jarno | a.high = floatx80_default_nan_high; |
525 | f6a7d92a | Aurelien Jarno | # else
|
526 | f6a7d92a | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
527 | f6a7d92a | Aurelien Jarno | # endif
|
528 | f6a7d92a | Aurelien Jarno | #else
|
529 | f6a7d92a | Aurelien Jarno | a.low |= LIT64( 0xC000000000000000 );
|
530 | f6a7d92a | Aurelien Jarno | return a;
|
531 | f6a7d92a | Aurelien Jarno | #endif
|
532 | f6a7d92a | Aurelien Jarno | } |
533 | f6a7d92a | Aurelien Jarno | return a;
|
534 | f6a7d92a | Aurelien Jarno | } |
535 | f6a7d92a | Aurelien Jarno | |
536 | f6a7d92a | Aurelien Jarno | /*----------------------------------------------------------------------------
|
537 | 158142c2 | bellard | | Returns the result of converting the extended double-precision floating-
|
538 | 158142c2 | bellard | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
|
539 | 158142c2 | bellard | | invalid exception is raised.
|
540 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
541 | 158142c2 | bellard | |
542 | 158142c2 | bellard | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
|
543 | 158142c2 | bellard | { |
544 | 158142c2 | bellard | commonNaNT z; |
545 | 158142c2 | bellard | |
546 | 158142c2 | bellard | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
547 | 158142c2 | bellard | z.sign = a.high>>15;
|
548 | 158142c2 | bellard | z.low = 0;
|
549 | 85016c98 | ths | z.high = a.low; |
550 | 158142c2 | bellard | return z;
|
551 | 158142c2 | bellard | } |
552 | 158142c2 | bellard | |
553 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
554 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the extended
|
555 | 158142c2 | bellard | | double-precision floating-point format.
|
556 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
557 | 158142c2 | bellard | |
558 | 158142c2 | bellard | static floatx80 commonNaNToFloatx80( commonNaNT a )
|
559 | 158142c2 | bellard | { |
560 | 158142c2 | bellard | floatx80 z; |
561 | 158142c2 | bellard | |
562 | 85016c98 | ths | if (a.high)
|
563 | 85016c98 | ths | z.low = a.high; |
564 | 85016c98 | ths | else
|
565 | 85016c98 | ths | z.low = floatx80_default_nan_low; |
566 | 158142c2 | bellard | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
567 | 158142c2 | bellard | return z;
|
568 | 158142c2 | bellard | } |
569 | 158142c2 | bellard | |
570 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
571 | 158142c2 | bellard | | Takes two extended double-precision floating-point values `a' and `b', one
|
572 | 158142c2 | bellard | | of which is a NaN, and returns the appropriate NaN result. If either `a' or
|
573 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
574 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
575 | 158142c2 | bellard | |
576 | 158142c2 | bellard | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
|
577 | 158142c2 | bellard | { |
578 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
579 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
580 | 158142c2 | bellard | |
581 | d735d695 | Aurelien Jarno | aIsQuietNaN = floatx80_is_quiet_nan( a ); |
582 | 158142c2 | bellard | aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
583 | d735d695 | Aurelien Jarno | bIsQuietNaN = floatx80_is_quiet_nan( b ); |
584 | 158142c2 | bellard | bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
585 | 1f398e08 | Aurelien Jarno | |
586 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
587 | 354f211b | Peter Maydell | |
588 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) ) {
|
589 | 10201602 | Aurelien Jarno | a.low = floatx80_default_nan_low; |
590 | 10201602 | Aurelien Jarno | a.high = floatx80_default_nan_high; |
591 | 10201602 | Aurelien Jarno | return a;
|
592 | 10201602 | Aurelien Jarno | } |
593 | 10201602 | Aurelien Jarno | |
594 | 354f211b | Peter Maydell | if (a.low < b.low) {
|
595 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
596 | 354f211b | Peter Maydell | } else if (b.low < a.low) { |
597 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
598 | 354f211b | Peter Maydell | } else {
|
599 | 354f211b | Peter Maydell | aIsLargerSignificand = (a.high < b.high) ? 1 : 0; |
600 | 158142c2 | bellard | } |
601 | 354f211b | Peter Maydell | |
602 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
603 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
604 | 1f398e08 | Aurelien Jarno | return floatx80_maybe_silence_nan(b);
|
605 | 354f211b | Peter Maydell | } else {
|
606 | 1f398e08 | Aurelien Jarno | return floatx80_maybe_silence_nan(a);
|
607 | 158142c2 | bellard | } |
608 | 158142c2 | bellard | } |
609 | 158142c2 | bellard | |
610 | 158142c2 | bellard | #endif
|
611 | 158142c2 | bellard | |
612 | 158142c2 | bellard | #ifdef FLOAT128
|
613 | 158142c2 | bellard | |
614 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
615 | 158142c2 | bellard | | The pattern for a default generated quadruple-precision NaN. The `high' and
|
616 | 158142c2 | bellard | | `low' values hold the most- and least-significant bits, respectively.
|
617 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
618 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
619 | 5a6932d5 | ths | #define float128_default_nan_high LIT64( 0x7FFF7FFFFFFFFFFF ) |
620 | 5a6932d5 | ths | #define float128_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) |
621 | 5a6932d5 | ths | #else
|
622 | 158142c2 | bellard | #define float128_default_nan_high LIT64( 0xFFFF800000000000 ) |
623 | 158142c2 | bellard | #define float128_default_nan_low LIT64( 0x0000000000000000 ) |
624 | 5a6932d5 | ths | #endif
|
625 | 158142c2 | bellard | |
626 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
627 | 5a6932d5 | ths | | Returns 1 if the quadruple-precision floating-point value `a' is a quiet
|
628 | 5a6932d5 | ths | | NaN; otherwise returns 0.
|
629 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
630 | 158142c2 | bellard | |
631 | 18569871 | Peter Maydell | int float128_is_quiet_nan( float128 a )
|
632 | 158142c2 | bellard | { |
633 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
634 | 5a6932d5 | ths | return
|
635 | 5a6932d5 | ths | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
636 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
637 | 5a6932d5 | ths | #else
|
638 | 158142c2 | bellard | return
|
639 | 158142c2 | bellard | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
640 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
641 | 5a6932d5 | ths | #endif
|
642 | 158142c2 | bellard | } |
643 | 158142c2 | bellard | |
644 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
645 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a
|
646 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
|
647 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
648 | 158142c2 | bellard | |
649 | 750afe93 | bellard | int float128_is_signaling_nan( float128 a )
|
650 | 158142c2 | bellard | { |
651 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
652 | 5a6932d5 | ths | return
|
653 | 5a6932d5 | ths | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
654 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
655 | 5a6932d5 | ths | #else
|
656 | 158142c2 | bellard | return
|
657 | 158142c2 | bellard | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
658 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
659 | 5a6932d5 | ths | #endif
|
660 | 158142c2 | bellard | } |
661 | 158142c2 | bellard | |
662 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
663 | f6a7d92a | Aurelien Jarno | | Returns a quiet NaN if the quadruple-precision floating point value `a' is
|
664 | f6a7d92a | Aurelien Jarno | | a signaling NaN; otherwise returns `a'.
|
665 | f6a7d92a | Aurelien Jarno | *----------------------------------------------------------------------------*/
|
666 | f6a7d92a | Aurelien Jarno | |
667 | f6a7d92a | Aurelien Jarno | float128 float128_maybe_silence_nan( float128 a ) |
668 | f6a7d92a | Aurelien Jarno | { |
669 | f6a7d92a | Aurelien Jarno | if (float128_is_signaling_nan(a)) {
|
670 | f6a7d92a | Aurelien Jarno | #if SNAN_BIT_IS_ONE
|
671 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
672 | f6a7d92a | Aurelien Jarno | a.low = float128_default_nan_low; |
673 | f6a7d92a | Aurelien Jarno | a.high = float128_default_nan_high; |
674 | f6a7d92a | Aurelien Jarno | # else
|
675 | f6a7d92a | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
676 | f6a7d92a | Aurelien Jarno | # endif
|
677 | f6a7d92a | Aurelien Jarno | #else
|
678 | f6a7d92a | Aurelien Jarno | a.high |= LIT64( 0x0000800000000000 );
|
679 | f6a7d92a | Aurelien Jarno | return a;
|
680 | f6a7d92a | Aurelien Jarno | #endif
|
681 | f6a7d92a | Aurelien Jarno | } |
682 | f6a7d92a | Aurelien Jarno | return a;
|
683 | f6a7d92a | Aurelien Jarno | } |
684 | f6a7d92a | Aurelien Jarno | |
685 | f6a7d92a | Aurelien Jarno | /*----------------------------------------------------------------------------
|
686 | 158142c2 | bellard | | Returns the result of converting the quadruple-precision floating-point NaN
|
687 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
688 | 158142c2 | bellard | | exception is raised.
|
689 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
690 | 158142c2 | bellard | |
691 | 158142c2 | bellard | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
|
692 | 158142c2 | bellard | { |
693 | 158142c2 | bellard | commonNaNT z; |
694 | 158142c2 | bellard | |
695 | 158142c2 | bellard | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
696 | 158142c2 | bellard | z.sign = a.high>>63;
|
697 | 158142c2 | bellard | shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
|
698 | 158142c2 | bellard | return z;
|
699 | 158142c2 | bellard | } |
700 | 158142c2 | bellard | |
701 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
702 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the quadruple-
|
703 | 158142c2 | bellard | | precision floating-point format.
|
704 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
705 | 158142c2 | bellard | |
706 | 158142c2 | bellard | static float128 commonNaNToFloat128( commonNaNT a )
|
707 | 158142c2 | bellard | { |
708 | 158142c2 | bellard | float128 z; |
709 | 158142c2 | bellard | |
710 | 158142c2 | bellard | shift128Right( a.high, a.low, 16, &z.high, &z.low );
|
711 | 85016c98 | ths | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 ); |
712 | 158142c2 | bellard | return z;
|
713 | 158142c2 | bellard | } |
714 | 158142c2 | bellard | |
715 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
716 | 158142c2 | bellard | | Takes two quadruple-precision floating-point values `a' and `b', one of
|
717 | 158142c2 | bellard | | which is a NaN, and returns the appropriate NaN result. If either `a' or
|
718 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
719 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
720 | 158142c2 | bellard | |
721 | 158142c2 | bellard | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
|
722 | 158142c2 | bellard | { |
723 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
724 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
725 | 158142c2 | bellard | |
726 | d735d695 | Aurelien Jarno | aIsQuietNaN = float128_is_quiet_nan( a ); |
727 | 158142c2 | bellard | aIsSignalingNaN = float128_is_signaling_nan( a ); |
728 | d735d695 | Aurelien Jarno | bIsQuietNaN = float128_is_quiet_nan( b ); |
729 | 158142c2 | bellard | bIsSignalingNaN = float128_is_signaling_nan( b ); |
730 | 1f398e08 | Aurelien Jarno | |
731 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
732 | 354f211b | Peter Maydell | |
733 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) ) {
|
734 | 10201602 | Aurelien Jarno | a.low = float128_default_nan_low; |
735 | 10201602 | Aurelien Jarno | a.high = float128_default_nan_high; |
736 | 10201602 | Aurelien Jarno | return a;
|
737 | 10201602 | Aurelien Jarno | } |
738 | 10201602 | Aurelien Jarno | |
739 | 354f211b | Peter Maydell | if (lt128(a.high<<1, a.low, b.high<<1, b.low)) { |
740 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
741 | 354f211b | Peter Maydell | } else if (lt128(b.high<<1, b.low, a.high<<1, a.low)) { |
742 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
743 | 354f211b | Peter Maydell | } else {
|
744 | 354f211b | Peter Maydell | aIsLargerSignificand = (a.high < b.high) ? 1 : 0; |
745 | 158142c2 | bellard | } |
746 | 354f211b | Peter Maydell | |
747 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
748 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
749 | 1f398e08 | Aurelien Jarno | return float128_maybe_silence_nan(b);
|
750 | 354f211b | Peter Maydell | } else {
|
751 | 1f398e08 | Aurelien Jarno | return float128_maybe_silence_nan(a);
|
752 | 158142c2 | bellard | } |
753 | 158142c2 | bellard | } |
754 | 158142c2 | bellard | |
755 | 158142c2 | bellard | #endif |