root / fpu / softfloat-specialize.h @ 298e01b6
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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 | 5a6932d5 | ths | #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
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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 | | Underflow tininess-detection mode, statically initialized to default value.
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41 | 158142c2 | bellard | | (The declaration in `softfloat.h' must match the `int8' type here.)
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42 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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43 | 158142c2 | bellard | int8 float_detect_tininess = float_tininess_after_rounding; |
44 | 158142c2 | bellard | |
45 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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46 | 158142c2 | bellard | | Raises the exceptions specified by `flags'. Floating-point traps can be
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47 | 158142c2 | bellard | | defined here if desired. It is currently not possible for such a trap
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48 | 158142c2 | bellard | | to substitute a result value. If traps are not implemented, this routine
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49 | 158142c2 | bellard | | should be simply `float_exception_flags |= flags;'.
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50 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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51 | 158142c2 | bellard | |
52 | 158142c2 | bellard | void float_raise( int8 flags STATUS_PARAM )
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53 | 158142c2 | bellard | { |
54 | 158142c2 | bellard | STATUS(float_exception_flags) |= flags; |
55 | 158142c2 | bellard | } |
56 | 158142c2 | bellard | |
57 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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58 | 158142c2 | bellard | | Internal canonical NaN format.
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59 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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60 | 158142c2 | bellard | typedef struct { |
61 | 158142c2 | bellard | flag sign; |
62 | 158142c2 | bellard | bits64 high, low; |
63 | 158142c2 | bellard | } commonNaNT; |
64 | 158142c2 | bellard | |
65 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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66 | 158142c2 | bellard | | The pattern for a default generated single-precision NaN.
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67 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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68 | 85016c98 | ths | #if defined(TARGET_SPARC)
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69 | 85016c98 | ths | #define float32_default_nan make_float32(0x7FFFFFFF) |
70 | 85016c98 | ths | #elif defined(TARGET_POWERPC)
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71 | 85016c98 | ths | #define float32_default_nan make_float32(0x7FC00000) |
72 | 85016c98 | ths | #elif defined(TARGET_HPPA)
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73 | 85016c98 | ths | #define float32_default_nan make_float32(0x7FA00000) |
74 | 85016c98 | ths | #elif SNAN_BIT_IS_ONE
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75 | f090c9d4 | pbrook | #define float32_default_nan make_float32(0x7FBFFFFF) |
76 | b645bb48 | ths | #else
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77 | f090c9d4 | pbrook | #define float32_default_nan make_float32(0xFFC00000) |
78 | b645bb48 | ths | #endif
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79 | 158142c2 | bellard | |
80 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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81 | 5a6932d5 | ths | | Returns 1 if the single-precision floating-point value `a' is a quiet
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82 | 5a6932d5 | ths | | NaN; otherwise returns 0.
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83 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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84 | 158142c2 | bellard | |
85 | f090c9d4 | pbrook | int float32_is_nan( float32 a_ )
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86 | 158142c2 | bellard | { |
87 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
88 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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89 | b645bb48 | ths | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
90 | b645bb48 | ths | #else
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91 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
92 | b645bb48 | ths | #endif
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93 | 158142c2 | bellard | } |
94 | 158142c2 | bellard | |
95 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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96 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a signaling
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97 | 158142c2 | bellard | | NaN; otherwise returns 0.
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98 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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99 | 158142c2 | bellard | |
100 | f090c9d4 | pbrook | int float32_is_signaling_nan( float32 a_ )
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101 | 158142c2 | bellard | { |
102 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
103 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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104 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
105 | b645bb48 | ths | #else
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106 | 158142c2 | bellard | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
107 | b645bb48 | ths | #endif
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108 | 158142c2 | bellard | } |
109 | 158142c2 | bellard | |
110 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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111 | 158142c2 | bellard | | Returns the result of converting the single-precision floating-point NaN
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112 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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113 | 158142c2 | bellard | | exception is raised.
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114 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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115 | 158142c2 | bellard | |
116 | 158142c2 | bellard | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
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117 | 158142c2 | bellard | { |
118 | 158142c2 | bellard | commonNaNT z; |
119 | 158142c2 | bellard | |
120 | 158142c2 | bellard | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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121 | f090c9d4 | pbrook | z.sign = float32_val(a)>>31;
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122 | 158142c2 | bellard | z.low = 0;
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123 | f090c9d4 | pbrook | z.high = ( (bits64) float32_val(a) )<<41;
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124 | 158142c2 | bellard | return z;
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125 | 158142c2 | bellard | } |
126 | 158142c2 | bellard | |
127 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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128 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the single-
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129 | 158142c2 | bellard | | precision floating-point format.
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130 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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131 | 158142c2 | bellard | |
132 | 158142c2 | bellard | static float32 commonNaNToFloat32( commonNaNT a )
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133 | 158142c2 | bellard | { |
134 | 85016c98 | ths | bits32 mantissa = a.high>>41;
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135 | 85016c98 | ths | if ( mantissa )
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136 | 85016c98 | ths | return make_float32(
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137 | 85016c98 | ths | ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) ); |
138 | 85016c98 | ths | else
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139 | 85016c98 | ths | return float32_default_nan;
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140 | 158142c2 | bellard | } |
141 | 158142c2 | bellard | |
142 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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143 | 158142c2 | bellard | | Takes two single-precision floating-point values `a' and `b', one of which
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144 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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145 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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146 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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147 | 158142c2 | bellard | |
148 | 158142c2 | bellard | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
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149 | 158142c2 | bellard | { |
150 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
151 | f090c9d4 | pbrook | bits32 av, bv, res; |
152 | 158142c2 | bellard | |
153 | 158142c2 | bellard | aIsNaN = float32_is_nan( a ); |
154 | 158142c2 | bellard | aIsSignalingNaN = float32_is_signaling_nan( a ); |
155 | 158142c2 | bellard | bIsNaN = float32_is_nan( b ); |
156 | 158142c2 | bellard | bIsSignalingNaN = float32_is_signaling_nan( b ); |
157 | f090c9d4 | pbrook | av = float32_val(a); |
158 | f090c9d4 | pbrook | bv = float32_val(b); |
159 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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160 | f090c9d4 | pbrook | av &= ~0x00400000;
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161 | f090c9d4 | pbrook | bv &= ~0x00400000;
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162 | b645bb48 | ths | #else
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163 | f090c9d4 | pbrook | av |= 0x00400000;
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164 | f090c9d4 | pbrook | bv |= 0x00400000;
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165 | b645bb48 | ths | #endif
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166 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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167 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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168 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
169 | f090c9d4 | pbrook | res = bIsNaN ? bv : av; |
170 | 158142c2 | bellard | } |
171 | 158142c2 | bellard | else if ( aIsNaN ) { |
172 | f090c9d4 | pbrook | if ( bIsSignalingNaN | ! bIsNaN )
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173 | f090c9d4 | pbrook | res = av; |
174 | f090c9d4 | pbrook | else {
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175 | 158142c2 | bellard | returnLargerSignificand:
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176 | f090c9d4 | pbrook | if ( (bits32) ( av<<1 ) < (bits32) ( bv<<1 ) ) |
177 | f090c9d4 | pbrook | res = bv; |
178 | f090c9d4 | pbrook | else if ( (bits32) ( bv<<1 ) < (bits32) ( av<<1 ) ) |
179 | f090c9d4 | pbrook | res = av; |
180 | f090c9d4 | pbrook | else
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181 | f090c9d4 | pbrook | res = ( av < bv ) ? av : bv; |
182 | f090c9d4 | pbrook | } |
183 | 158142c2 | bellard | } |
184 | 158142c2 | bellard | else {
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185 | f090c9d4 | pbrook | res = bv; |
186 | 158142c2 | bellard | } |
187 | f090c9d4 | pbrook | return make_float32(res);
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188 | 158142c2 | bellard | } |
189 | 158142c2 | bellard | |
190 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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191 | 158142c2 | bellard | | The pattern for a default generated double-precision NaN.
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192 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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193 | 85016c98 | ths | #if defined(TARGET_SPARC)
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194 | 85016c98 | ths | #define float64_default_nan make_float64(LIT64( 0x7FFFFFFFFFFFFFFF )) |
195 | 85016c98 | ths | #elif defined(TARGET_POWERPC)
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196 | 85016c98 | ths | #define float64_default_nan make_float64(LIT64( 0x7FF8000000000000 )) |
197 | 85016c98 | ths | #elif defined(TARGET_HPPA)
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198 | 85016c98 | ths | #define float64_default_nan make_float64(LIT64( 0x7FF4000000000000 )) |
199 | 85016c98 | ths | #elif SNAN_BIT_IS_ONE
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200 | f090c9d4 | pbrook | #define float64_default_nan make_float64(LIT64( 0x7FF7FFFFFFFFFFFF )) |
201 | b645bb48 | ths | #else
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202 | f090c9d4 | pbrook | #define float64_default_nan make_float64(LIT64( 0xFFF8000000000000 )) |
203 | b645bb48 | ths | #endif
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204 | 158142c2 | bellard | |
205 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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206 | 5a6932d5 | ths | | Returns 1 if the double-precision floating-point value `a' is a quiet
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207 | 5a6932d5 | ths | | NaN; otherwise returns 0.
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208 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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209 | 158142c2 | bellard | |
210 | f090c9d4 | pbrook | int float64_is_nan( float64 a_ )
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211 | 158142c2 | bellard | { |
212 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
213 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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214 | b645bb48 | ths | return
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215 | b645bb48 | ths | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
216 | b645bb48 | ths | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
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217 | b645bb48 | ths | #else
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218 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
219 | b645bb48 | ths | #endif
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220 | 158142c2 | bellard | } |
221 | 158142c2 | bellard | |
222 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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223 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a signaling
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224 | 158142c2 | bellard | | NaN; otherwise returns 0.
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225 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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226 | 158142c2 | bellard | |
227 | f090c9d4 | pbrook | int float64_is_signaling_nan( float64 a_ )
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228 | 158142c2 | bellard | { |
229 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
230 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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231 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
232 | b645bb48 | ths | #else
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233 | 158142c2 | bellard | return
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234 | 158142c2 | bellard | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
235 | 158142c2 | bellard | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
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236 | b645bb48 | ths | #endif
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237 | 158142c2 | bellard | } |
238 | 158142c2 | bellard | |
239 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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240 | 158142c2 | bellard | | Returns the result of converting the double-precision floating-point NaN
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241 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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242 | 158142c2 | bellard | | exception is raised.
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243 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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244 | 158142c2 | bellard | |
245 | 158142c2 | bellard | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
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246 | 158142c2 | bellard | { |
247 | 158142c2 | bellard | commonNaNT z; |
248 | 158142c2 | bellard | |
249 | 158142c2 | bellard | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
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250 | f090c9d4 | pbrook | z.sign = float64_val(a)>>63;
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251 | 158142c2 | bellard | z.low = 0;
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252 | f090c9d4 | pbrook | z.high = float64_val(a)<<12;
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253 | 158142c2 | bellard | return z;
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254 | 158142c2 | bellard | } |
255 | 158142c2 | bellard | |
256 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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257 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the double-
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258 | 158142c2 | bellard | | precision floating-point format.
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259 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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260 | 158142c2 | bellard | |
261 | 158142c2 | bellard | static float64 commonNaNToFloat64( commonNaNT a )
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262 | 158142c2 | bellard | { |
263 | 85016c98 | ths | bits64 mantissa = a.high>>12;
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264 | 85016c98 | ths | |
265 | 85016c98 | ths | if ( mantissa )
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266 | 85016c98 | ths | return make_float64(
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267 | 85016c98 | ths | ( ( (bits64) a.sign )<<63 )
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268 | 85016c98 | ths | | LIT64( 0x7FF0000000000000 )
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269 | 85016c98 | ths | | ( a.high>>12 ));
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270 | 85016c98 | ths | else
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271 | 85016c98 | ths | return float64_default_nan;
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272 | 158142c2 | bellard | } |
273 | 158142c2 | bellard | |
274 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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275 | 158142c2 | bellard | | Takes two double-precision floating-point values `a' and `b', one of which
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276 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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277 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
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278 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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279 | 158142c2 | bellard | |
280 | 158142c2 | bellard | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
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281 | 158142c2 | bellard | { |
282 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
283 | f090c9d4 | pbrook | bits64 av, bv, res; |
284 | 158142c2 | bellard | |
285 | 158142c2 | bellard | aIsNaN = float64_is_nan( a ); |
286 | 158142c2 | bellard | aIsSignalingNaN = float64_is_signaling_nan( a ); |
287 | 158142c2 | bellard | bIsNaN = float64_is_nan( b ); |
288 | 158142c2 | bellard | bIsSignalingNaN = float64_is_signaling_nan( b ); |
289 | f090c9d4 | pbrook | av = float64_val(a); |
290 | f090c9d4 | pbrook | bv = float64_val(b); |
291 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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292 | f090c9d4 | pbrook | av &= ~LIT64( 0x0008000000000000 );
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293 | f090c9d4 | pbrook | bv &= ~LIT64( 0x0008000000000000 );
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294 | b645bb48 | ths | #else
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295 | f090c9d4 | pbrook | av |= LIT64( 0x0008000000000000 );
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296 | f090c9d4 | pbrook | bv |= LIT64( 0x0008000000000000 );
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297 | b645bb48 | ths | #endif
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298 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
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299 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
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300 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
301 | f090c9d4 | pbrook | res = bIsNaN ? bv : av; |
302 | 158142c2 | bellard | } |
303 | 158142c2 | bellard | else if ( aIsNaN ) { |
304 | f090c9d4 | pbrook | if ( bIsSignalingNaN | ! bIsNaN )
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305 | f090c9d4 | pbrook | res = av; |
306 | f090c9d4 | pbrook | else {
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307 | 158142c2 | bellard | returnLargerSignificand:
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308 | f090c9d4 | pbrook | if ( (bits64) ( av<<1 ) < (bits64) ( bv<<1 ) ) |
309 | f090c9d4 | pbrook | res = bv; |
310 | f090c9d4 | pbrook | else if ( (bits64) ( bv<<1 ) < (bits64) ( av<<1 ) ) |
311 | f090c9d4 | pbrook | res = av; |
312 | f090c9d4 | pbrook | else
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313 | f090c9d4 | pbrook | res = ( av < bv ) ? av : bv; |
314 | f090c9d4 | pbrook | } |
315 | 158142c2 | bellard | } |
316 | 158142c2 | bellard | else {
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317 | f090c9d4 | pbrook | res = bv; |
318 | 158142c2 | bellard | } |
319 | f090c9d4 | pbrook | return make_float64(res);
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320 | 158142c2 | bellard | } |
321 | 158142c2 | bellard | |
322 | 158142c2 | bellard | #ifdef FLOATX80
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323 | 158142c2 | bellard | |
324 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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325 | 158142c2 | bellard | | The pattern for a default generated extended double-precision NaN. The
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326 | 158142c2 | bellard | | `high' and `low' values hold the most- and least-significant bits,
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327 | 158142c2 | bellard | | respectively.
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328 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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329 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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330 | 5a6932d5 | ths | #define floatx80_default_nan_high 0x7FFF |
331 | 5a6932d5 | ths | #define floatx80_default_nan_low LIT64( 0xBFFFFFFFFFFFFFFF ) |
332 | 5a6932d5 | ths | #else
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333 | 158142c2 | bellard | #define floatx80_default_nan_high 0xFFFF |
334 | 158142c2 | bellard | #define floatx80_default_nan_low LIT64( 0xC000000000000000 ) |
335 | 5a6932d5 | ths | #endif
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336 | 158142c2 | bellard | |
337 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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338 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
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339 | 5a6932d5 | ths | | quiet NaN; otherwise returns 0.
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340 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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341 | 158142c2 | bellard | |
342 | 750afe93 | bellard | int floatx80_is_nan( floatx80 a )
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343 | 158142c2 | bellard | { |
344 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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345 | 5a6932d5 | ths | bits64 aLow; |
346 | 158142c2 | bellard | |
347 | 5a6932d5 | ths | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
348 | 5a6932d5 | ths | return
|
349 | 5a6932d5 | ths | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
350 | 5a6932d5 | ths | && (bits64) ( aLow<<1 )
|
351 | 5a6932d5 | ths | && ( a.low == aLow ); |
352 | 5a6932d5 | ths | #else
|
353 | 158142c2 | bellard | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
354 | 5a6932d5 | ths | #endif
|
355 | 158142c2 | bellard | } |
356 | 158142c2 | bellard | |
357 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
358 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
|
359 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
|
360 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
361 | 158142c2 | bellard | |
362 | 750afe93 | bellard | int floatx80_is_signaling_nan( floatx80 a )
|
363 | 158142c2 | bellard | { |
364 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
365 | 5a6932d5 | ths | return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
366 | 5a6932d5 | ths | #else
|
367 | 158142c2 | bellard | bits64 aLow; |
368 | 158142c2 | bellard | |
369 | 158142c2 | bellard | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
370 | 158142c2 | bellard | return
|
371 | 158142c2 | bellard | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
372 | 158142c2 | bellard | && (bits64) ( aLow<<1 )
|
373 | 158142c2 | bellard | && ( a.low == aLow ); |
374 | 5a6932d5 | ths | #endif
|
375 | 158142c2 | bellard | } |
376 | 158142c2 | bellard | |
377 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
378 | 158142c2 | bellard | | Returns the result of converting the extended double-precision floating-
|
379 | 158142c2 | bellard | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
|
380 | 158142c2 | bellard | | invalid exception is raised.
|
381 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
382 | 158142c2 | bellard | |
383 | 158142c2 | bellard | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
|
384 | 158142c2 | bellard | { |
385 | 158142c2 | bellard | commonNaNT z; |
386 | 158142c2 | bellard | |
387 | 158142c2 | bellard | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
388 | 158142c2 | bellard | z.sign = a.high>>15;
|
389 | 158142c2 | bellard | z.low = 0;
|
390 | 85016c98 | ths | z.high = a.low; |
391 | 158142c2 | bellard | return z;
|
392 | 158142c2 | bellard | } |
393 | 158142c2 | bellard | |
394 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
395 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the extended
|
396 | 158142c2 | bellard | | double-precision floating-point format.
|
397 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
398 | 158142c2 | bellard | |
399 | 158142c2 | bellard | static floatx80 commonNaNToFloatx80( commonNaNT a )
|
400 | 158142c2 | bellard | { |
401 | 158142c2 | bellard | floatx80 z; |
402 | 158142c2 | bellard | |
403 | 85016c98 | ths | if (a.high)
|
404 | 85016c98 | ths | z.low = a.high; |
405 | 85016c98 | ths | else
|
406 | 85016c98 | ths | z.low = floatx80_default_nan_low; |
407 | 158142c2 | bellard | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
408 | 158142c2 | bellard | return z;
|
409 | 158142c2 | bellard | } |
410 | 158142c2 | bellard | |
411 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
412 | 158142c2 | bellard | | Takes two extended double-precision floating-point values `a' and `b', one
|
413 | 158142c2 | bellard | | of which is a NaN, and returns the appropriate NaN result. If either `a' or
|
414 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
415 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
416 | 158142c2 | bellard | |
417 | 158142c2 | bellard | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
|
418 | 158142c2 | bellard | { |
419 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
420 | 158142c2 | bellard | |
421 | 158142c2 | bellard | aIsNaN = floatx80_is_nan( a ); |
422 | 158142c2 | bellard | aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
423 | 158142c2 | bellard | bIsNaN = floatx80_is_nan( b ); |
424 | 158142c2 | bellard | bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
425 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
426 | 5a6932d5 | ths | a.low &= ~LIT64( 0xC000000000000000 );
|
427 | 5a6932d5 | ths | b.low &= ~LIT64( 0xC000000000000000 );
|
428 | 5a6932d5 | ths | #else
|
429 | 158142c2 | bellard | a.low |= LIT64( 0xC000000000000000 );
|
430 | 158142c2 | bellard | b.low |= LIT64( 0xC000000000000000 );
|
431 | 5a6932d5 | ths | #endif
|
432 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
433 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
|
434 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
435 | 158142c2 | bellard | return bIsNaN ? b : a;
|
436 | 158142c2 | bellard | } |
437 | 158142c2 | bellard | else if ( aIsNaN ) { |
438 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
439 | 158142c2 | bellard | returnLargerSignificand:
|
440 | 158142c2 | bellard | if ( a.low < b.low ) return b; |
441 | 158142c2 | bellard | if ( b.low < a.low ) return a; |
442 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
|
443 | 158142c2 | bellard | } |
444 | 158142c2 | bellard | else {
|
445 | 158142c2 | bellard | return b;
|
446 | 158142c2 | bellard | } |
447 | 158142c2 | bellard | } |
448 | 158142c2 | bellard | |
449 | 158142c2 | bellard | #endif
|
450 | 158142c2 | bellard | |
451 | 158142c2 | bellard | #ifdef FLOAT128
|
452 | 158142c2 | bellard | |
453 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
454 | 158142c2 | bellard | | The pattern for a default generated quadruple-precision NaN. The `high' and
|
455 | 158142c2 | bellard | | `low' values hold the most- and least-significant bits, respectively.
|
456 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
457 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
458 | 5a6932d5 | ths | #define float128_default_nan_high LIT64( 0x7FFF7FFFFFFFFFFF ) |
459 | 5a6932d5 | ths | #define float128_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) |
460 | 5a6932d5 | ths | #else
|
461 | 158142c2 | bellard | #define float128_default_nan_high LIT64( 0xFFFF800000000000 ) |
462 | 158142c2 | bellard | #define float128_default_nan_low LIT64( 0x0000000000000000 ) |
463 | 5a6932d5 | ths | #endif
|
464 | 158142c2 | bellard | |
465 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
466 | 5a6932d5 | ths | | Returns 1 if the quadruple-precision floating-point value `a' is a quiet
|
467 | 5a6932d5 | ths | | NaN; otherwise returns 0.
|
468 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
469 | 158142c2 | bellard | |
470 | 750afe93 | bellard | int float128_is_nan( float128 a )
|
471 | 158142c2 | bellard | { |
472 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
473 | 5a6932d5 | ths | return
|
474 | 5a6932d5 | ths | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
475 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
476 | 5a6932d5 | ths | #else
|
477 | 158142c2 | bellard | return
|
478 | 158142c2 | bellard | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
479 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
480 | 5a6932d5 | ths | #endif
|
481 | 158142c2 | bellard | } |
482 | 158142c2 | bellard | |
483 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
484 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a
|
485 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
|
486 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
487 | 158142c2 | bellard | |
488 | 750afe93 | bellard | int float128_is_signaling_nan( float128 a )
|
489 | 158142c2 | bellard | { |
490 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
491 | 5a6932d5 | ths | return
|
492 | 5a6932d5 | ths | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
493 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
494 | 5a6932d5 | ths | #else
|
495 | 158142c2 | bellard | return
|
496 | 158142c2 | bellard | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
497 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
498 | 5a6932d5 | ths | #endif
|
499 | 158142c2 | bellard | } |
500 | 158142c2 | bellard | |
501 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
502 | 158142c2 | bellard | | Returns the result of converting the quadruple-precision floating-point NaN
|
503 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
504 | 158142c2 | bellard | | exception is raised.
|
505 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
506 | 158142c2 | bellard | |
507 | 158142c2 | bellard | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
|
508 | 158142c2 | bellard | { |
509 | 158142c2 | bellard | commonNaNT z; |
510 | 158142c2 | bellard | |
511 | 158142c2 | bellard | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
512 | 158142c2 | bellard | z.sign = a.high>>63;
|
513 | 158142c2 | bellard | shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
|
514 | 158142c2 | bellard | return z;
|
515 | 158142c2 | bellard | } |
516 | 158142c2 | bellard | |
517 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
518 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the quadruple-
|
519 | 158142c2 | bellard | | precision floating-point format.
|
520 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
521 | 158142c2 | bellard | |
522 | 158142c2 | bellard | static float128 commonNaNToFloat128( commonNaNT a )
|
523 | 158142c2 | bellard | { |
524 | 158142c2 | bellard | float128 z; |
525 | 158142c2 | bellard | |
526 | 158142c2 | bellard | shift128Right( a.high, a.low, 16, &z.high, &z.low );
|
527 | 85016c98 | ths | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 ); |
528 | 158142c2 | bellard | return z;
|
529 | 158142c2 | bellard | } |
530 | 158142c2 | bellard | |
531 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
532 | 158142c2 | bellard | | Takes two quadruple-precision floating-point values `a' and `b', one of
|
533 | 158142c2 | bellard | | which is a NaN, and returns the appropriate NaN result. If either `a' or
|
534 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
535 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
536 | 158142c2 | bellard | |
537 | 158142c2 | bellard | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
|
538 | 158142c2 | bellard | { |
539 | 158142c2 | bellard | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
540 | 158142c2 | bellard | |
541 | 158142c2 | bellard | aIsNaN = float128_is_nan( a ); |
542 | 158142c2 | bellard | aIsSignalingNaN = float128_is_signaling_nan( a ); |
543 | 158142c2 | bellard | bIsNaN = float128_is_nan( b ); |
544 | 158142c2 | bellard | bIsSignalingNaN = float128_is_signaling_nan( b ); |
545 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
546 | 5a6932d5 | ths | a.high &= ~LIT64( 0x0000800000000000 );
|
547 | 5a6932d5 | ths | b.high &= ~LIT64( 0x0000800000000000 );
|
548 | 5a6932d5 | ths | #else
|
549 | 158142c2 | bellard | a.high |= LIT64( 0x0000800000000000 );
|
550 | 158142c2 | bellard | b.high |= LIT64( 0x0000800000000000 );
|
551 | 5a6932d5 | ths | #endif
|
552 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
553 | 158142c2 | bellard | if ( aIsSignalingNaN ) {
|
554 | 158142c2 | bellard | if ( bIsSignalingNaN ) goto returnLargerSignificand; |
555 | 158142c2 | bellard | return bIsNaN ? b : a;
|
556 | 158142c2 | bellard | } |
557 | 158142c2 | bellard | else if ( aIsNaN ) { |
558 | 158142c2 | bellard | if ( bIsSignalingNaN | ! bIsNaN ) return a; |
559 | 158142c2 | bellard | returnLargerSignificand:
|
560 | 158142c2 | bellard | if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b; |
561 | 158142c2 | bellard | if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a; |
562 | 158142c2 | bellard | return ( a.high < b.high ) ? a : b;
|
563 | 158142c2 | bellard | } |
564 | 158142c2 | bellard | else {
|
565 | 158142c2 | bellard | return b;
|
566 | 158142c2 | bellard | } |
567 | 158142c2 | bellard | } |
568 | 158142c2 | bellard | |
569 | 158142c2 | bellard | #endif |