root / fpu / softfloat-specialize.h @ b645bb48
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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 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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65 | b645bb48 | ths | #define float32_default_nan 0xFF800000 |
66 | b645bb48 | ths | #else
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67 | 158142c2 | bellard | #define float32_default_nan 0xFFC00000 |
68 | b645bb48 | ths | #endif
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69 | 158142c2 | bellard | |
70 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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71 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a NaN;
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72 | 158142c2 | bellard | | otherwise returns 0.
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73 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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74 | 158142c2 | bellard | |
75 | 750afe93 | bellard | int float32_is_nan( float32 a )
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76 | 158142c2 | bellard | { |
77 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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78 | b645bb48 | ths | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
79 | b645bb48 | ths | #else
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80 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
81 | b645bb48 | ths | #endif
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82 | 158142c2 | bellard | } |
83 | 158142c2 | bellard | |
84 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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85 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a signaling
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86 | 158142c2 | bellard | | NaN; otherwise returns 0.
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87 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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88 | 158142c2 | bellard | |
89 | 750afe93 | bellard | int float32_is_signaling_nan( float32 a )
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90 | 158142c2 | bellard | { |
91 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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92 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
93 | b645bb48 | ths | #else
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94 | 158142c2 | bellard | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
95 | b645bb48 | ths | #endif
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96 | 158142c2 | bellard | } |
97 | 158142c2 | bellard | |
98 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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99 | 158142c2 | bellard | | Returns the result of converting the single-precision floating-point NaN
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100 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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101 | 158142c2 | bellard | | exception is raised.
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102 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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103 | 158142c2 | bellard | |
104 | 158142c2 | bellard | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
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105 | 158142c2 | bellard | { |
106 | 158142c2 | bellard | commonNaNT z; |
107 | 158142c2 | bellard | |
108 | 158142c2 | bellard | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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109 | 158142c2 | bellard | z.sign = a>>31;
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110 | 158142c2 | bellard | z.low = 0;
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111 | 158142c2 | bellard | z.high = ( (bits64) a )<<41;
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112 | 158142c2 | bellard | return z;
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113 | 158142c2 | bellard | |
114 | 158142c2 | bellard | } |
115 | 158142c2 | bellard | |
116 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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117 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the single-
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118 | 158142c2 | bellard | | precision floating-point format.
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119 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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120 | 158142c2 | bellard | |
121 | 158142c2 | bellard | static float32 commonNaNToFloat32( commonNaNT a )
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122 | 158142c2 | bellard | { |
123 | 158142c2 | bellard | |
124 | 158142c2 | bellard | return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); |
125 | 158142c2 | bellard | |
126 | 158142c2 | bellard | } |
127 | 158142c2 | bellard | |
128 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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129 | 158142c2 | bellard | | Takes two single-precision floating-point values `a' and `b', one of which
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130 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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131 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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132 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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133 | 158142c2 | bellard | |
134 | 158142c2 | bellard | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
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135 | 158142c2 | bellard | { |
136 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
137 | 158142c2 | bellard | |
138 | 158142c2 | bellard | aIsNaN = float32_is_nan( a ); |
139 | 158142c2 | bellard | aIsSignalingNaN = float32_is_signaling_nan( a ); |
140 | 158142c2 | bellard | bIsNaN = float32_is_nan( b ); |
141 | 158142c2 | bellard | bIsSignalingNaN = float32_is_signaling_nan( b ); |
142 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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143 | b645bb48 | ths | a &= ~0x00400000;
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144 | b645bb48 | ths | b &= ~0x00400000;
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145 | b645bb48 | ths | #else
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146 | 158142c2 | bellard | a |= 0x00400000;
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147 | 158142c2 | bellard | b |= 0x00400000;
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148 | b645bb48 | ths | #endif
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149 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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150 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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151 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
152 | 158142c2 | bellard | return bIsNaN ? b : a;
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153 | 158142c2 | bellard | } |
154 | 158142c2 | bellard | else if ( aIsNaN ) { |
155 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
156 | 158142c2 | bellard | returnLargerSignificand:
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157 | 158142c2 | bellard | if ( (bits32) ( a<<1 ) < (bits32) ( b<<1 ) ) return b; |
158 | 158142c2 | bellard | if ( (bits32) ( b<<1 ) < (bits32) ( a<<1 ) ) return a; |
159 | 158142c2 | bellard | return ( a < b ) ? a : b;
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160 | 158142c2 | bellard | } |
161 | 158142c2 | bellard | else {
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162 | 158142c2 | bellard | return b;
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163 | 158142c2 | bellard | } |
164 | 158142c2 | bellard | |
165 | 158142c2 | bellard | } |
166 | 158142c2 | bellard | |
167 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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168 | 158142c2 | bellard | | The pattern for a default generated double-precision NaN.
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169 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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170 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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171 | b645bb48 | ths | #define float64_default_nan LIT64( 0xFFF0000000000000 ) |
172 | b645bb48 | ths | #else
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173 | 158142c2 | bellard | #define float64_default_nan LIT64( 0xFFF8000000000000 ) |
174 | b645bb48 | ths | #endif
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175 | 158142c2 | bellard | |
176 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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177 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a NaN;
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178 | 158142c2 | bellard | | otherwise returns 0.
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179 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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180 | 158142c2 | bellard | |
181 | 750afe93 | bellard | int float64_is_nan( float64 a )
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182 | 158142c2 | bellard | { |
183 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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184 | b645bb48 | ths | return
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185 | b645bb48 | ths | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
186 | b645bb48 | ths | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
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187 | b645bb48 | ths | #else
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188 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
189 | b645bb48 | ths | #endif
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190 | 158142c2 | bellard | } |
191 | 158142c2 | bellard | |
192 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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193 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a signaling
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194 | 158142c2 | bellard | | NaN; otherwise returns 0.
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195 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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196 | 158142c2 | bellard | |
197 | 750afe93 | bellard | int float64_is_signaling_nan( float64 a )
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198 | 158142c2 | bellard | { |
199 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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200 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
201 | b645bb48 | ths | #else
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202 | 158142c2 | bellard | return
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203 | 158142c2 | bellard | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
204 | 158142c2 | bellard | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
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205 | b645bb48 | ths | #endif
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206 | 158142c2 | bellard | } |
207 | 158142c2 | bellard | |
208 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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209 | 158142c2 | bellard | | Returns the result of converting the double-precision floating-point NaN
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210 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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211 | 158142c2 | bellard | | exception is raised.
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212 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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213 | 158142c2 | bellard | |
214 | 158142c2 | bellard | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
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215 | 158142c2 | bellard | { |
216 | 158142c2 | bellard | commonNaNT z; |
217 | 158142c2 | bellard | |
218 | 158142c2 | bellard | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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219 | 158142c2 | bellard | z.sign = a>>63;
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220 | 158142c2 | bellard | z.low = 0;
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221 | 158142c2 | bellard | z.high = a<<12;
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222 | 158142c2 | bellard | return z;
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223 | 158142c2 | bellard | |
224 | 158142c2 | bellard | } |
225 | 158142c2 | bellard | |
226 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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227 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the double-
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228 | 158142c2 | bellard | | precision floating-point format.
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229 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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230 | 158142c2 | bellard | |
231 | 158142c2 | bellard | static float64 commonNaNToFloat64( commonNaNT a )
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232 | 158142c2 | bellard | { |
233 | 158142c2 | bellard | |
234 | 158142c2 | bellard | return
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235 | 158142c2 | bellard | ( ( (bits64) a.sign )<<63 )
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236 | 158142c2 | bellard | | LIT64( 0x7FF8000000000000 )
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237 | 158142c2 | bellard | | ( a.high>>12 );
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238 | 158142c2 | bellard | |
239 | 158142c2 | bellard | } |
240 | 158142c2 | bellard | |
241 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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242 | 158142c2 | bellard | | Takes two double-precision floating-point values `a' and `b', one of which
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243 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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244 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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245 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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246 | 158142c2 | bellard | |
247 | 158142c2 | bellard | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
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248 | 158142c2 | bellard | { |
249 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
250 | 158142c2 | bellard | |
251 | 158142c2 | bellard | aIsNaN = float64_is_nan( a ); |
252 | 158142c2 | bellard | aIsSignalingNaN = float64_is_signaling_nan( a ); |
253 | 158142c2 | bellard | bIsNaN = float64_is_nan( b ); |
254 | 158142c2 | bellard | bIsSignalingNaN = float64_is_signaling_nan( b ); |
255 | b645bb48 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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256 | b645bb48 | ths | a &= ~LIT64( 0x0008000000000000 );
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257 | b645bb48 | ths | b &= ~LIT64( 0x0008000000000000 );
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258 | b645bb48 | ths | #else
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259 | 158142c2 | bellard | a |= LIT64( 0x0008000000000000 );
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260 | 158142c2 | bellard | b |= LIT64( 0x0008000000000000 );
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261 | b645bb48 | ths | #endif
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262 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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263 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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264 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
265 | 158142c2 | bellard | return bIsNaN ? b : a;
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266 | 158142c2 | bellard | } |
267 | 158142c2 | bellard | else if ( aIsNaN ) { |
268 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
269 | 158142c2 | bellard | returnLargerSignificand:
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270 | 158142c2 | bellard | if ( (bits64) ( a<<1 ) < (bits64) ( b<<1 ) ) return b; |
271 | 158142c2 | bellard | if ( (bits64) ( b<<1 ) < (bits64) ( a<<1 ) ) return a; |
272 | 158142c2 | bellard | return ( a < b ) ? a : b;
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273 | 158142c2 | bellard | } |
274 | 158142c2 | bellard | else {
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275 | 158142c2 | bellard | return b;
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276 | 158142c2 | bellard | } |
277 | 158142c2 | bellard | |
278 | 158142c2 | bellard | } |
279 | 158142c2 | bellard | |
280 | 158142c2 | bellard | #ifdef FLOATX80
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281 | 158142c2 | bellard | |
282 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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283 | 158142c2 | bellard | | The pattern for a default generated extended double-precision NaN. The
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284 | 158142c2 | bellard | | `high' and `low' values hold the most- and least-significant bits,
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285 | 158142c2 | bellard | | respectively.
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286 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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287 | 158142c2 | bellard | #define floatx80_default_nan_high 0xFFFF |
288 | 158142c2 | bellard | #define floatx80_default_nan_low LIT64( 0xC000000000000000 ) |
289 | 158142c2 | bellard | |
290 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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291 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
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292 | 158142c2 | bellard | | NaN; otherwise returns 0.
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293 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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294 | 158142c2 | bellard | |
295 | 750afe93 | bellard | int floatx80_is_nan( floatx80 a )
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296 | 158142c2 | bellard | { |
297 | 158142c2 | bellard | |
298 | 158142c2 | bellard | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
299 | 158142c2 | bellard | |
300 | 158142c2 | bellard | } |
301 | 158142c2 | bellard | |
302 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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303 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
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304 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
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305 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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306 | 158142c2 | bellard | |
307 | 750afe93 | bellard | int floatx80_is_signaling_nan( floatx80 a )
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308 | 158142c2 | bellard | { |
309 | 158142c2 | bellard | bits64 aLow; |
310 | 158142c2 | bellard | |
311 | 158142c2 | bellard | aLow = a.low & ~ LIT64( 0x4000000000000000 );
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312 | 158142c2 | bellard | return
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313 | 158142c2 | bellard | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
314 | 158142c2 | bellard | && (bits64) ( aLow<<1 )
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315 | 158142c2 | bellard | && ( a.low == aLow ); |
316 | 158142c2 | bellard | |
317 | 158142c2 | bellard | } |
318 | 158142c2 | bellard | |
319 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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320 | 158142c2 | bellard | | Returns the result of converting the extended double-precision floating-
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321 | 158142c2 | bellard | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
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322 | 158142c2 | bellard | | invalid exception is raised.
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323 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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324 | 158142c2 | bellard | |
325 | 158142c2 | bellard | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
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326 | 158142c2 | bellard | { |
327 | 158142c2 | bellard | commonNaNT z; |
328 | 158142c2 | bellard | |
329 | 158142c2 | bellard | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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330 | 158142c2 | bellard | z.sign = a.high>>15;
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331 | 158142c2 | bellard | z.low = 0;
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332 | 158142c2 | bellard | z.high = a.low<<1;
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333 | 158142c2 | bellard | return z;
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334 | 158142c2 | bellard | |
335 | 158142c2 | bellard | } |
336 | 158142c2 | bellard | |
337 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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338 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the extended
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339 | 158142c2 | bellard | | double-precision floating-point format.
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340 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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341 | 158142c2 | bellard | |
342 | 158142c2 | bellard | static floatx80 commonNaNToFloatx80( commonNaNT a )
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343 | 158142c2 | bellard | { |
344 | 158142c2 | bellard | floatx80 z; |
345 | 158142c2 | bellard | |
346 | 158142c2 | bellard | z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); |
347 | 158142c2 | bellard | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
348 | 158142c2 | bellard | return z;
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349 | 158142c2 | bellard | |
350 | 158142c2 | bellard | } |
351 | 158142c2 | bellard | |
352 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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353 | 158142c2 | bellard | | Takes two extended double-precision floating-point values `a' and `b', one
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354 | 158142c2 | bellard | | of which is a NaN, and returns the appropriate NaN result. If either `a' or
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355 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
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356 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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357 | 158142c2 | bellard | |
358 | 158142c2 | bellard | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
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359 | 158142c2 | bellard | { |
360 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
361 | 158142c2 | bellard | |
362 | 158142c2 | bellard | aIsNaN = floatx80_is_nan( a ); |
363 | 158142c2 | bellard | aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
364 | 158142c2 | bellard | bIsNaN = floatx80_is_nan( b ); |
365 | 158142c2 | bellard | bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
366 | 158142c2 | bellard | a.low |= LIT64( 0xC000000000000000 );
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367 | 158142c2 | bellard | b.low |= LIT64( 0xC000000000000000 );
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368 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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369 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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370 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
371 | 158142c2 | bellard | return bIsNaN ? b : a;
|
372 | 158142c2 | bellard | } |
373 | 158142c2 | bellard | else if ( aIsNaN ) { |
374 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
375 | 158142c2 | bellard | returnLargerSignificand:
|
376 | 158142c2 | bellard | if ( a.low < b.low ) return b; |
377 | 158142c2 | bellard | if ( b.low < a.low ) return a; |
378 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
|
379 | 158142c2 | bellard | } |
380 | 158142c2 | bellard | else {
|
381 | 158142c2 | bellard | return b;
|
382 | 158142c2 | bellard | } |
383 | 158142c2 | bellard | |
384 | 158142c2 | bellard | } |
385 | 158142c2 | bellard | |
386 | 158142c2 | bellard | #endif
|
387 | 158142c2 | bellard | |
388 | 158142c2 | bellard | #ifdef FLOAT128
|
389 | 158142c2 | bellard | |
390 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
391 | 158142c2 | bellard | | The pattern for a default generated quadruple-precision NaN. The `high' and
|
392 | 158142c2 | bellard | | `low' values hold the most- and least-significant bits, respectively.
|
393 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
394 | 158142c2 | bellard | #define float128_default_nan_high LIT64( 0xFFFF800000000000 ) |
395 | 158142c2 | bellard | #define float128_default_nan_low LIT64( 0x0000000000000000 ) |
396 | 158142c2 | bellard | |
397 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
398 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
|
399 | 158142c2 | bellard | | otherwise returns 0.
|
400 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
401 | 158142c2 | bellard | |
402 | 750afe93 | bellard | int float128_is_nan( float128 a )
|
403 | 158142c2 | bellard | { |
404 | 158142c2 | bellard | |
405 | 158142c2 | bellard | return
|
406 | 158142c2 | bellard | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
407 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
408 | 158142c2 | bellard | |
409 | 158142c2 | bellard | } |
410 | 158142c2 | bellard | |
411 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
412 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a
|
413 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
|
414 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
415 | 158142c2 | bellard | |
416 | 750afe93 | bellard | int float128_is_signaling_nan( float128 a )
|
417 | 158142c2 | bellard | { |
418 | 158142c2 | bellard | |
419 | 158142c2 | bellard | return
|
420 | 158142c2 | bellard | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
421 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
422 | 158142c2 | bellard | |
423 | 158142c2 | bellard | } |
424 | 158142c2 | bellard | |
425 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
426 | 158142c2 | bellard | | Returns the result of converting the quadruple-precision floating-point NaN
|
427 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
428 | 158142c2 | bellard | | exception is raised.
|
429 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
430 | 158142c2 | bellard | |
431 | 158142c2 | bellard | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
|
432 | 158142c2 | bellard | { |
433 | 158142c2 | bellard | commonNaNT z; |
434 | 158142c2 | bellard | |
435 | 158142c2 | bellard | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
436 | 158142c2 | bellard | z.sign = a.high>>63;
|
437 | 158142c2 | bellard | shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
|
438 | 158142c2 | bellard | return z;
|
439 | 158142c2 | bellard | |
440 | 158142c2 | bellard | } |
441 | 158142c2 | bellard | |
442 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
443 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the quadruple-
|
444 | 158142c2 | bellard | | precision floating-point format.
|
445 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
446 | 158142c2 | bellard | |
447 | 158142c2 | bellard | static float128 commonNaNToFloat128( commonNaNT a )
|
448 | 158142c2 | bellard | { |
449 | 158142c2 | bellard | float128 z; |
450 | 158142c2 | bellard | |
451 | 158142c2 | bellard | shift128Right( a.high, a.low, 16, &z.high, &z.low );
|
452 | 158142c2 | bellard | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF800000000000 ); |
453 | 158142c2 | bellard | return z;
|
454 | 158142c2 | bellard | |
455 | 158142c2 | bellard | } |
456 | 158142c2 | bellard | |
457 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
458 | 158142c2 | bellard | | Takes two quadruple-precision floating-point values `a' and `b', one of
|
459 | 158142c2 | bellard | | which is a NaN, and returns the appropriate NaN result. If either `a' or
|
460 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
461 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
462 | 158142c2 | bellard | |
463 | 158142c2 | bellard | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
|
464 | 158142c2 | bellard | { |
465 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
466 | 158142c2 | bellard | |
467 | 158142c2 | bellard | aIsNaN = float128_is_nan( a ); |
468 | 158142c2 | bellard | aIsSignalingNaN = float128_is_signaling_nan( a ); |
469 | 158142c2 | bellard | bIsNaN = float128_is_nan( b ); |
470 | 158142c2 | bellard | bIsSignalingNaN = float128_is_signaling_nan( b ); |
471 | 158142c2 | bellard | a.high |= LIT64( 0x0000800000000000 );
|
472 | 158142c2 | bellard | b.high |= LIT64( 0x0000800000000000 );
|
473 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
474 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
|
475 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
476 | 158142c2 | bellard | return bIsNaN ? b : a;
|
477 | 158142c2 | bellard | } |
478 | 158142c2 | bellard | else if ( aIsNaN ) { |
479 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
480 | 158142c2 | bellard | returnLargerSignificand:
|
481 | 158142c2 | bellard | if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b; |
482 | 158142c2 | bellard | if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a; |
483 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
|
484 | 158142c2 | bellard | } |
485 | 158142c2 | bellard | else {
|
486 | 158142c2 | bellard | return b;
|
487 | 158142c2 | bellard | } |
488 | 158142c2 | bellard | |
489 | 158142c2 | bellard | } |
490 | 158142c2 | bellard | |
491 | 158142c2 | bellard | #endif
|