root / fpu / softfloat-specialize.h @ 09b26c5e
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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 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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34 | 158142c2 | bellard | | Underflow tininess-detection mode, statically initialized to default value.
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35 | 158142c2 | bellard | | (The declaration in `softfloat.h' must match the `int8' type here.)
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36 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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37 | 158142c2 | bellard | int8 float_detect_tininess = float_tininess_after_rounding; |
38 | 158142c2 | bellard | |
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 | |
49 | 158142c2 | bellard | STATUS(float_exception_flags) |= flags; |
50 | 158142c2 | bellard | |
51 | 158142c2 | bellard | } |
52 | 158142c2 | bellard | |
53 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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54 | 158142c2 | bellard | | Internal canonical NaN format.
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55 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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56 | 158142c2 | bellard | typedef struct { |
57 | 158142c2 | bellard | flag sign; |
58 | 158142c2 | bellard | bits64 high, low; |
59 | 158142c2 | bellard | } commonNaNT; |
60 | 158142c2 | bellard | |
61 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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62 | 158142c2 | bellard | | The pattern for a default generated single-precision NaN.
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63 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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64 | 158142c2 | bellard | #define float32_default_nan 0xFFC00000 |
65 | 158142c2 | bellard | |
66 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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67 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a NaN;
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68 | 158142c2 | bellard | | otherwise returns 0.
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69 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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70 | 158142c2 | bellard | |
71 | 158142c2 | bellard | flag float32_is_nan( float32 a ) |
72 | 158142c2 | bellard | { |
73 | 158142c2 | bellard | |
74 | 158142c2 | bellard | return ( 0xFF000000 < (bits32) ( a<<1 ) ); |
75 | 158142c2 | bellard | |
76 | 158142c2 | bellard | } |
77 | 158142c2 | bellard | |
78 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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79 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a signaling
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80 | 158142c2 | bellard | | NaN; otherwise returns 0.
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81 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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82 | 158142c2 | bellard | |
83 | 158142c2 | bellard | flag float32_is_signaling_nan( float32 a ) |
84 | 158142c2 | bellard | { |
85 | 158142c2 | bellard | |
86 | 158142c2 | bellard | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
87 | 158142c2 | bellard | |
88 | 158142c2 | bellard | } |
89 | 158142c2 | bellard | |
90 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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91 | 158142c2 | bellard | | Returns the result of converting the single-precision floating-point NaN
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92 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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93 | 158142c2 | bellard | | exception is raised.
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94 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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95 | 158142c2 | bellard | |
96 | 158142c2 | bellard | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
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97 | 158142c2 | bellard | { |
98 | 158142c2 | bellard | commonNaNT z; |
99 | 158142c2 | bellard | |
100 | 158142c2 | bellard | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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101 | 158142c2 | bellard | z.sign = a>>31;
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102 | 158142c2 | bellard | z.low = 0;
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103 | 158142c2 | bellard | z.high = ( (bits64) a )<<41;
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104 | 158142c2 | bellard | return z;
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105 | 158142c2 | bellard | |
106 | 158142c2 | bellard | } |
107 | 158142c2 | bellard | |
108 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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109 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the single-
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110 | 158142c2 | bellard | | precision floating-point format.
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111 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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112 | 158142c2 | bellard | |
113 | 158142c2 | bellard | static float32 commonNaNToFloat32( commonNaNT a )
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114 | 158142c2 | bellard | { |
115 | 158142c2 | bellard | |
116 | 158142c2 | bellard | return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); |
117 | 158142c2 | bellard | |
118 | 158142c2 | bellard | } |
119 | 158142c2 | bellard | |
120 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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121 | 158142c2 | bellard | | Takes two single-precision floating-point values `a' and `b', one of which
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122 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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123 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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124 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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125 | 158142c2 | bellard | |
126 | 158142c2 | bellard | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
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127 | 158142c2 | bellard | { |
128 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
129 | 158142c2 | bellard | |
130 | 158142c2 | bellard | aIsNaN = float32_is_nan( a ); |
131 | 158142c2 | bellard | aIsSignalingNaN = float32_is_signaling_nan( a ); |
132 | 158142c2 | bellard | bIsNaN = float32_is_nan( b ); |
133 | 158142c2 | bellard | bIsSignalingNaN = float32_is_signaling_nan( b ); |
134 | 158142c2 | bellard | a |= 0x00400000;
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135 | 158142c2 | bellard | b |= 0x00400000;
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136 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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137 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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138 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
139 | 158142c2 | bellard | return bIsNaN ? b : a;
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140 | 158142c2 | bellard | } |
141 | 158142c2 | bellard | else if ( aIsNaN ) { |
142 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
143 | 158142c2 | bellard | returnLargerSignificand:
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144 | 158142c2 | bellard | if ( (bits32) ( a<<1 ) < (bits32) ( b<<1 ) ) return b; |
145 | 158142c2 | bellard | if ( (bits32) ( b<<1 ) < (bits32) ( a<<1 ) ) return a; |
146 | 158142c2 | bellard | return ( a < b ) ? a : b;
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147 | 158142c2 | bellard | } |
148 | 158142c2 | bellard | else {
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149 | 158142c2 | bellard | return b;
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150 | 158142c2 | bellard | } |
151 | 158142c2 | bellard | |
152 | 158142c2 | bellard | } |
153 | 158142c2 | bellard | |
154 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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155 | 158142c2 | bellard | | The pattern for a default generated double-precision NaN.
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156 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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157 | 158142c2 | bellard | #define float64_default_nan LIT64( 0xFFF8000000000000 ) |
158 | 158142c2 | bellard | |
159 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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160 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a NaN;
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161 | 158142c2 | bellard | | otherwise returns 0.
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162 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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163 | 158142c2 | bellard | |
164 | 158142c2 | bellard | flag float64_is_nan( float64 a ) |
165 | 158142c2 | bellard | { |
166 | 158142c2 | bellard | |
167 | 158142c2 | bellard | return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) ); |
168 | 158142c2 | bellard | |
169 | 158142c2 | bellard | } |
170 | 158142c2 | bellard | |
171 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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172 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a signaling
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173 | 158142c2 | bellard | | NaN; otherwise returns 0.
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174 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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175 | 158142c2 | bellard | |
176 | 158142c2 | bellard | flag float64_is_signaling_nan( float64 a ) |
177 | 158142c2 | bellard | { |
178 | 158142c2 | bellard | |
179 | 158142c2 | bellard | return
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180 | 158142c2 | bellard | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
181 | 158142c2 | bellard | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
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182 | 158142c2 | bellard | |
183 | 158142c2 | bellard | } |
184 | 158142c2 | bellard | |
185 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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186 | 158142c2 | bellard | | Returns the result of converting the double-precision floating-point NaN
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187 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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188 | 158142c2 | bellard | | exception is raised.
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189 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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190 | 158142c2 | bellard | |
191 | 158142c2 | bellard | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
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192 | 158142c2 | bellard | { |
193 | 158142c2 | bellard | commonNaNT z; |
194 | 158142c2 | bellard | |
195 | 158142c2 | bellard | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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196 | 158142c2 | bellard | z.sign = a>>63;
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197 | 158142c2 | bellard | z.low = 0;
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198 | 158142c2 | bellard | z.high = a<<12;
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199 | 158142c2 | bellard | return z;
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200 | 158142c2 | bellard | |
201 | 158142c2 | bellard | } |
202 | 158142c2 | bellard | |
203 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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204 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the double-
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205 | 158142c2 | bellard | | precision floating-point format.
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206 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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207 | 158142c2 | bellard | |
208 | 158142c2 | bellard | static float64 commonNaNToFloat64( commonNaNT a )
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209 | 158142c2 | bellard | { |
210 | 158142c2 | bellard | |
211 | 158142c2 | bellard | return
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212 | 158142c2 | bellard | ( ( (bits64) a.sign )<<63 )
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213 | 158142c2 | bellard | | LIT64( 0x7FF8000000000000 )
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214 | 158142c2 | bellard | | ( a.high>>12 );
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215 | 158142c2 | bellard | |
216 | 158142c2 | bellard | } |
217 | 158142c2 | bellard | |
218 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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219 | 158142c2 | bellard | | Takes two double-precision floating-point values `a' and `b', one of which
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220 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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221 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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222 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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223 | 158142c2 | bellard | |
224 | 158142c2 | bellard | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
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225 | 158142c2 | bellard | { |
226 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
227 | 158142c2 | bellard | |
228 | 158142c2 | bellard | aIsNaN = float64_is_nan( a ); |
229 | 158142c2 | bellard | aIsSignalingNaN = float64_is_signaling_nan( a ); |
230 | 158142c2 | bellard | bIsNaN = float64_is_nan( b ); |
231 | 158142c2 | bellard | bIsSignalingNaN = float64_is_signaling_nan( b ); |
232 | 158142c2 | bellard | a |= LIT64( 0x0008000000000000 );
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233 | 158142c2 | bellard | b |= LIT64( 0x0008000000000000 );
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234 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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235 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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236 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
237 | 158142c2 | bellard | return bIsNaN ? b : a;
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238 | 158142c2 | bellard | } |
239 | 158142c2 | bellard | else if ( aIsNaN ) { |
240 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
241 | 158142c2 | bellard | returnLargerSignificand:
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242 | 158142c2 | bellard | if ( (bits64) ( a<<1 ) < (bits64) ( b<<1 ) ) return b; |
243 | 158142c2 | bellard | if ( (bits64) ( b<<1 ) < (bits64) ( a<<1 ) ) return a; |
244 | 158142c2 | bellard | return ( a < b ) ? a : b;
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245 | 158142c2 | bellard | } |
246 | 158142c2 | bellard | else {
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247 | 158142c2 | bellard | return b;
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248 | 158142c2 | bellard | } |
249 | 158142c2 | bellard | |
250 | 158142c2 | bellard | } |
251 | 158142c2 | bellard | |
252 | 158142c2 | bellard | #ifdef FLOATX80
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253 | 158142c2 | bellard | |
254 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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255 | 158142c2 | bellard | | The pattern for a default generated extended double-precision NaN. The
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256 | 158142c2 | bellard | | `high' and `low' values hold the most- and least-significant bits,
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257 | 158142c2 | bellard | | respectively.
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258 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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259 | 158142c2 | bellard | #define floatx80_default_nan_high 0xFFFF |
260 | 158142c2 | bellard | #define floatx80_default_nan_low LIT64( 0xC000000000000000 ) |
261 | 158142c2 | bellard | |
262 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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263 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
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264 | 158142c2 | bellard | | NaN; otherwise returns 0.
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265 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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266 | 158142c2 | bellard | |
267 | 158142c2 | bellard | flag floatx80_is_nan( floatx80 a ) |
268 | 158142c2 | bellard | { |
269 | 158142c2 | bellard | |
270 | 158142c2 | bellard | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
271 | 158142c2 | bellard | |
272 | 158142c2 | bellard | } |
273 | 158142c2 | bellard | |
274 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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275 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
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276 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
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277 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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278 | 158142c2 | bellard | |
279 | 158142c2 | bellard | flag floatx80_is_signaling_nan( floatx80 a ) |
280 | 158142c2 | bellard | { |
281 | 158142c2 | bellard | bits64 aLow; |
282 | 158142c2 | bellard | |
283 | 158142c2 | bellard | aLow = a.low & ~ LIT64( 0x4000000000000000 );
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284 | 158142c2 | bellard | return
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285 | 158142c2 | bellard | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
286 | 158142c2 | bellard | && (bits64) ( aLow<<1 )
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287 | 158142c2 | bellard | && ( a.low == aLow ); |
288 | 158142c2 | bellard | |
289 | 158142c2 | bellard | } |
290 | 158142c2 | bellard | |
291 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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292 | 158142c2 | bellard | | Returns the result of converting the extended double-precision floating-
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293 | 158142c2 | bellard | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
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294 | 158142c2 | bellard | | invalid exception is raised.
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295 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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296 | 158142c2 | bellard | |
297 | 158142c2 | bellard | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
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298 | 158142c2 | bellard | { |
299 | 158142c2 | bellard | commonNaNT z; |
300 | 158142c2 | bellard | |
301 | 158142c2 | bellard | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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302 | 158142c2 | bellard | z.sign = a.high>>15;
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303 | 158142c2 | bellard | z.low = 0;
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304 | 158142c2 | bellard | z.high = a.low<<1;
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305 | 158142c2 | bellard | return z;
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306 | 158142c2 | bellard | |
307 | 158142c2 | bellard | } |
308 | 158142c2 | bellard | |
309 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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310 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the extended
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311 | 158142c2 | bellard | | double-precision floating-point format.
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312 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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313 | 158142c2 | bellard | |
314 | 158142c2 | bellard | static floatx80 commonNaNToFloatx80( commonNaNT a )
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315 | 158142c2 | bellard | { |
316 | 158142c2 | bellard | floatx80 z; |
317 | 158142c2 | bellard | |
318 | 158142c2 | bellard | z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); |
319 | 158142c2 | bellard | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
320 | 158142c2 | bellard | return z;
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321 | 158142c2 | bellard | |
322 | 158142c2 | bellard | } |
323 | 158142c2 | bellard | |
324 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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325 | 158142c2 | bellard | | Takes two extended double-precision floating-point values `a' and `b', one
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326 | 158142c2 | bellard | | of which is a NaN, and returns the appropriate NaN result. If either `a' or
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327 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
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328 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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329 | 158142c2 | bellard | |
330 | 158142c2 | bellard | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
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331 | 158142c2 | bellard | { |
332 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
333 | 158142c2 | bellard | |
334 | 158142c2 | bellard | aIsNaN = floatx80_is_nan( a ); |
335 | 158142c2 | bellard | aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
336 | 158142c2 | bellard | bIsNaN = floatx80_is_nan( b ); |
337 | 158142c2 | bellard | bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
338 | 158142c2 | bellard | a.low |= LIT64( 0xC000000000000000 );
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339 | 158142c2 | bellard | b.low |= LIT64( 0xC000000000000000 );
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340 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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341 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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342 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
343 | 158142c2 | bellard | return bIsNaN ? b : a;
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344 | 158142c2 | bellard | } |
345 | 158142c2 | bellard | else if ( aIsNaN ) { |
346 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
347 | 158142c2 | bellard | returnLargerSignificand:
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348 | 158142c2 | bellard | if ( a.low < b.low ) return b; |
349 | 158142c2 | bellard | if ( b.low < a.low ) return a; |
350 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
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351 | 158142c2 | bellard | } |
352 | 158142c2 | bellard | else {
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353 | 158142c2 | bellard | return b;
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354 | 158142c2 | bellard | } |
355 | 158142c2 | bellard | |
356 | 158142c2 | bellard | } |
357 | 158142c2 | bellard | |
358 | 158142c2 | bellard | #endif
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359 | 158142c2 | bellard | |
360 | 158142c2 | bellard | #ifdef FLOAT128
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361 | 158142c2 | bellard | |
362 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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363 | 158142c2 | bellard | | The pattern for a default generated quadruple-precision NaN. The `high' and
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364 | 158142c2 | bellard | | `low' values hold the most- and least-significant bits, respectively.
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365 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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366 | 158142c2 | bellard | #define float128_default_nan_high LIT64( 0xFFFF800000000000 ) |
367 | 158142c2 | bellard | #define float128_default_nan_low LIT64( 0x0000000000000000 ) |
368 | 158142c2 | bellard | |
369 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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370 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
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371 | 158142c2 | bellard | | otherwise returns 0.
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372 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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373 | 158142c2 | bellard | |
374 | 158142c2 | bellard | flag float128_is_nan( float128 a ) |
375 | 158142c2 | bellard | { |
376 | 158142c2 | bellard | |
377 | 158142c2 | bellard | return
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378 | 158142c2 | bellard | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
379 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
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380 | 158142c2 | bellard | |
381 | 158142c2 | bellard | } |
382 | 158142c2 | bellard | |
383 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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384 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a
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385 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
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386 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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387 | 158142c2 | bellard | |
388 | 158142c2 | bellard | flag float128_is_signaling_nan( float128 a ) |
389 | 158142c2 | bellard | { |
390 | 158142c2 | bellard | |
391 | 158142c2 | bellard | return
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392 | 158142c2 | bellard | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
393 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
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394 | 158142c2 | bellard | |
395 | 158142c2 | bellard | } |
396 | 158142c2 | bellard | |
397 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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398 | 158142c2 | bellard | | Returns the result of converting the quadruple-precision floating-point NaN
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399 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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400 | 158142c2 | bellard | | exception is raised.
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401 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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402 | 158142c2 | bellard | |
403 | 158142c2 | bellard | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
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404 | 158142c2 | bellard | { |
405 | 158142c2 | bellard | commonNaNT z; |
406 | 158142c2 | bellard | |
407 | 158142c2 | bellard | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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408 | 158142c2 | bellard | z.sign = a.high>>63;
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409 | 158142c2 | bellard | shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
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410 | 158142c2 | bellard | return z;
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411 | 158142c2 | bellard | |
412 | 158142c2 | bellard | } |
413 | 158142c2 | bellard | |
414 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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415 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the quadruple-
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416 | 158142c2 | bellard | | precision floating-point format.
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417 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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418 | 158142c2 | bellard | |
419 | 158142c2 | bellard | static float128 commonNaNToFloat128( commonNaNT a )
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420 | 158142c2 | bellard | { |
421 | 158142c2 | bellard | float128 z; |
422 | 158142c2 | bellard | |
423 | 158142c2 | bellard | shift128Right( a.high, a.low, 16, &z.high, &z.low );
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424 | 158142c2 | bellard | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF800000000000 ); |
425 | 158142c2 | bellard | return z;
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426 | 158142c2 | bellard | |
427 | 158142c2 | bellard | } |
428 | 158142c2 | bellard | |
429 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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430 | 158142c2 | bellard | | Takes two quadruple-precision floating-point values `a' and `b', one of
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431 | 158142c2 | bellard | | which is a NaN, and returns the appropriate NaN result. If either `a' or
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432 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
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433 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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434 | 158142c2 | bellard | |
435 | 158142c2 | bellard | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
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436 | 158142c2 | bellard | { |
437 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
438 | 158142c2 | bellard | |
439 | 158142c2 | bellard | aIsNaN = float128_is_nan( a ); |
440 | 158142c2 | bellard | aIsSignalingNaN = float128_is_signaling_nan( a ); |
441 | 158142c2 | bellard | bIsNaN = float128_is_nan( b ); |
442 | 158142c2 | bellard | bIsSignalingNaN = float128_is_signaling_nan( b ); |
443 | 158142c2 | bellard | a.high |= LIT64( 0x0000800000000000 );
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444 | 158142c2 | bellard | b.high |= LIT64( 0x0000800000000000 );
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445 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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446 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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447 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
448 | 158142c2 | bellard | return bIsNaN ? b : a;
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449 | 158142c2 | bellard | } |
450 | 158142c2 | bellard | else if ( aIsNaN ) { |
451 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
452 | 158142c2 | bellard | returnLargerSignificand:
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453 | 158142c2 | bellard | if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b; |
454 | 158142c2 | bellard | if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a; |
455 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
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456 | 158142c2 | bellard | } |
457 | 158142c2 | bellard | else {
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458 | 158142c2 | bellard | return b;
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459 | 158142c2 | bellard | } |
460 | 158142c2 | bellard | |
461 | 158142c2 | bellard | } |
462 | 158142c2 | bellard | |
463 | 158142c2 | bellard | #endif
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