root / fpu / softfloat-specialize.h @ 8d725fac
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1 | 8d725fac | Andreas Färber | /*
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2 | 8d725fac | Andreas Färber | * QEMU float support
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3 | 8d725fac | Andreas Färber | *
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4 | 8d725fac | Andreas Färber | * Derived from SoftFloat.
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5 | 8d725fac | Andreas Färber | */
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6 | 158142c2 | bellard | |
7 | 158142c2 | bellard | /*============================================================================
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8 | 158142c2 | bellard | |
9 | 158142c2 | bellard | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
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10 | 158142c2 | bellard | Arithmetic Package, Release 2b.
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11 | 158142c2 | bellard | |
12 | 158142c2 | bellard | Written by John R. Hauser. This work was made possible in part by the
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13 | 158142c2 | bellard | International Computer Science Institute, located at Suite 600, 1947 Center
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14 | 158142c2 | bellard | Street, Berkeley, California 94704. Funding was partially provided by the
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15 | 158142c2 | bellard | National Science Foundation under grant MIP-9311980. The original version
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16 | 158142c2 | bellard | of this code was written as part of a project to build a fixed-point vector
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17 | 158142c2 | bellard | processor in collaboration with the University of California at Berkeley,
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18 | 158142c2 | bellard | overseen by Profs. Nelson Morgan and John Wawrzynek. More information
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19 | 158142c2 | bellard | is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
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20 | 158142c2 | bellard | arithmetic/SoftFloat.html'.
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21 | 158142c2 | bellard | |
22 | 158142c2 | bellard | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
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23 | 158142c2 | bellard | been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
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24 | 158142c2 | bellard | RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
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25 | 158142c2 | bellard | AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
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26 | 158142c2 | bellard | COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
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27 | 158142c2 | bellard | EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
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28 | 158142c2 | bellard | INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
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29 | 158142c2 | bellard | OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
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30 | 158142c2 | bellard | |
31 | 158142c2 | bellard | Derivative works are acceptable, even for commercial purposes, so long as
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32 | 158142c2 | bellard | (1) the source code for the derivative work includes prominent notice that
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33 | 158142c2 | bellard | the work is derivative, and (2) the source code includes prominent notice with
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34 | 158142c2 | bellard | these four paragraphs for those parts of this code that are retained.
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35 | 158142c2 | bellard | |
36 | 158142c2 | bellard | =============================================================================*/
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37 | 158142c2 | bellard | |
38 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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39 | 158142c2 | bellard | | Raises the exceptions specified by `flags'. Floating-point traps can be
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40 | 158142c2 | bellard | | defined here if desired. It is currently not possible for such a trap
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41 | 158142c2 | bellard | | to substitute a result value. If traps are not implemented, this routine
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42 | 158142c2 | bellard | | should be simply `float_exception_flags |= flags;'.
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43 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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44 | 158142c2 | bellard | |
45 | 158142c2 | bellard | void float_raise( int8 flags STATUS_PARAM )
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46 | 158142c2 | bellard | { |
47 | 158142c2 | bellard | STATUS(float_exception_flags) |= flags; |
48 | 158142c2 | bellard | } |
49 | 158142c2 | bellard | |
50 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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51 | 158142c2 | bellard | | Internal canonical NaN format.
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52 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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53 | 158142c2 | bellard | typedef struct { |
54 | 158142c2 | bellard | flag sign; |
55 | 158142c2 | bellard | bits64 high, low; |
56 | 158142c2 | bellard | } commonNaNT; |
57 | 158142c2 | bellard | |
58 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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59 | bb4d4bb3 | Peter Maydell | | Returns 1 if the half-precision floating-point value `a' is a quiet
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60 | bb4d4bb3 | Peter Maydell | | NaN; otherwise returns 0.
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61 | bb4d4bb3 | Peter Maydell | *----------------------------------------------------------------------------*/
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62 | bb4d4bb3 | Peter Maydell | |
63 | bb4d4bb3 | Peter Maydell | int float16_is_quiet_nan(float16 a_)
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64 | bb4d4bb3 | Peter Maydell | { |
65 | bb4d4bb3 | Peter Maydell | uint16_t a = float16_val(a_); |
66 | bb4d4bb3 | Peter Maydell | #if SNAN_BIT_IS_ONE
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67 | bb4d4bb3 | Peter Maydell | return (((a >> 9) & 0x3F) == 0x3E) && (a & 0x1FF); |
68 | bb4d4bb3 | Peter Maydell | #else
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69 | bb4d4bb3 | Peter Maydell | return ((a & ~0x8000) >= 0x7c80); |
70 | bb4d4bb3 | Peter Maydell | #endif
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71 | bb4d4bb3 | Peter Maydell | } |
72 | bb4d4bb3 | Peter Maydell | |
73 | bb4d4bb3 | Peter Maydell | /*----------------------------------------------------------------------------
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74 | bb4d4bb3 | Peter Maydell | | Returns 1 if the half-precision floating-point value `a' is a signaling
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75 | bb4d4bb3 | Peter Maydell | | NaN; otherwise returns 0.
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76 | bb4d4bb3 | Peter Maydell | *----------------------------------------------------------------------------*/
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77 | bb4d4bb3 | Peter Maydell | |
78 | bb4d4bb3 | Peter Maydell | int float16_is_signaling_nan(float16 a_)
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79 | bb4d4bb3 | Peter Maydell | { |
80 | bb4d4bb3 | Peter Maydell | uint16_t a = float16_val(a_); |
81 | bb4d4bb3 | Peter Maydell | #if SNAN_BIT_IS_ONE
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82 | bb4d4bb3 | Peter Maydell | return ((a & ~0x8000) >= 0x7c80); |
83 | bb4d4bb3 | Peter Maydell | #else
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84 | bb4d4bb3 | Peter Maydell | return (((a >> 9) & 0x3F) == 0x3E) && (a & 0x1FF); |
85 | bb4d4bb3 | Peter Maydell | #endif
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86 | bb4d4bb3 | Peter Maydell | } |
87 | bb4d4bb3 | Peter Maydell | |
88 | bb4d4bb3 | Peter Maydell | /*----------------------------------------------------------------------------
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89 | bb4d4bb3 | Peter Maydell | | Returns a quiet NaN if the half-precision floating point value `a' is a
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90 | bb4d4bb3 | Peter Maydell | | signaling NaN; otherwise returns `a'.
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91 | bb4d4bb3 | Peter Maydell | *----------------------------------------------------------------------------*/
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92 | bb4d4bb3 | Peter Maydell | float16 float16_maybe_silence_nan(float16 a_) |
93 | bb4d4bb3 | Peter Maydell | { |
94 | bb4d4bb3 | Peter Maydell | if (float16_is_signaling_nan(a_)) {
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95 | bb4d4bb3 | Peter Maydell | #if SNAN_BIT_IS_ONE
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96 | bb4d4bb3 | Peter Maydell | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
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97 | bb4d4bb3 | Peter Maydell | return float16_default_nan;
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98 | bb4d4bb3 | Peter Maydell | # else
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99 | bb4d4bb3 | Peter Maydell | # error Rules for silencing a signaling NaN are target-specific |
100 | bb4d4bb3 | Peter Maydell | # endif
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101 | bb4d4bb3 | Peter Maydell | #else
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102 | bb4d4bb3 | Peter Maydell | uint16_t a = float16_val(a_); |
103 | bb4d4bb3 | Peter Maydell | a |= (1 << 9); |
104 | bb4d4bb3 | Peter Maydell | return make_float16(a);
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105 | bb4d4bb3 | Peter Maydell | #endif
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106 | bb4d4bb3 | Peter Maydell | } |
107 | bb4d4bb3 | Peter Maydell | return a_;
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108 | bb4d4bb3 | Peter Maydell | } |
109 | bb4d4bb3 | Peter Maydell | |
110 | bb4d4bb3 | Peter Maydell | /*----------------------------------------------------------------------------
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111 | f591e1be | Peter Maydell | | Returns the result of converting the half-precision floating-point NaN
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112 | f591e1be | Peter Maydell | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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113 | f591e1be | Peter Maydell | | exception is raised.
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114 | f591e1be | Peter Maydell | *----------------------------------------------------------------------------*/
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115 | f591e1be | Peter Maydell | |
116 | f591e1be | Peter Maydell | static commonNaNT float16ToCommonNaN( float16 a STATUS_PARAM )
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117 | f591e1be | Peter Maydell | { |
118 | f591e1be | Peter Maydell | commonNaNT z; |
119 | f591e1be | Peter Maydell | |
120 | f591e1be | Peter Maydell | if ( float16_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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121 | f591e1be | Peter Maydell | z.sign = float16_val(a) >> 15;
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122 | f591e1be | Peter Maydell | z.low = 0;
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123 | f591e1be | Peter Maydell | z.high = ((bits64) float16_val(a))<<54;
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124 | f591e1be | Peter Maydell | return z;
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125 | f591e1be | Peter Maydell | } |
126 | f591e1be | Peter Maydell | |
127 | f591e1be | Peter Maydell | /*----------------------------------------------------------------------------
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128 | 600e30d2 | Peter Maydell | | Returns the result of converting the canonical NaN `a' to the half-
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129 | 600e30d2 | Peter Maydell | | precision floating-point format.
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130 | 600e30d2 | Peter Maydell | *----------------------------------------------------------------------------*/
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131 | 600e30d2 | Peter Maydell | |
132 | 600e30d2 | Peter Maydell | static float16 commonNaNToFloat16(commonNaNT a STATUS_PARAM)
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133 | 600e30d2 | Peter Maydell | { |
134 | 600e30d2 | Peter Maydell | uint16_t mantissa = a.high>>54;
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135 | 600e30d2 | Peter Maydell | |
136 | 600e30d2 | Peter Maydell | if (STATUS(default_nan_mode)) {
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137 | 600e30d2 | Peter Maydell | return float16_default_nan;
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138 | 600e30d2 | Peter Maydell | } |
139 | 600e30d2 | Peter Maydell | |
140 | 600e30d2 | Peter Maydell | if (mantissa) {
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141 | 600e30d2 | Peter Maydell | return make_float16(((((uint16_t) a.sign) << 15) |
142 | 600e30d2 | Peter Maydell | | (0x1F << 10) | mantissa)); |
143 | 600e30d2 | Peter Maydell | } else {
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144 | 600e30d2 | Peter Maydell | return float16_default_nan;
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145 | 600e30d2 | Peter Maydell | } |
146 | 600e30d2 | Peter Maydell | } |
147 | 600e30d2 | Peter Maydell | |
148 | 600e30d2 | Peter Maydell | /*----------------------------------------------------------------------------
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149 | 5a6932d5 | ths | | Returns 1 if the single-precision floating-point value `a' is a quiet
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150 | 5a6932d5 | ths | | NaN; otherwise returns 0.
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151 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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152 | 158142c2 | bellard | |
153 | 18569871 | Peter Maydell | int float32_is_quiet_nan( float32 a_ )
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154 | 158142c2 | bellard | { |
155 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
156 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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157 | b645bb48 | ths | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
158 | b645bb48 | ths | #else
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159 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
160 | b645bb48 | ths | #endif
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161 | 158142c2 | bellard | } |
162 | 158142c2 | bellard | |
163 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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164 | 158142c2 | bellard | | Returns 1 if the single-precision floating-point value `a' is a signaling
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165 | 158142c2 | bellard | | NaN; otherwise returns 0.
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166 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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167 | 158142c2 | bellard | |
168 | f090c9d4 | pbrook | int float32_is_signaling_nan( float32 a_ )
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169 | 158142c2 | bellard | { |
170 | f090c9d4 | pbrook | uint32_t a = float32_val(a_); |
171 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
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172 | b645bb48 | ths | return ( 0xFF800000 <= (bits32) ( a<<1 ) ); |
173 | b645bb48 | ths | #else
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174 | 158142c2 | bellard | return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
175 | b645bb48 | ths | #endif
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176 | 158142c2 | bellard | } |
177 | 158142c2 | bellard | |
178 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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179 | b408dbde | Peter Maydell | | Returns a quiet NaN if the single-precision floating point value `a' is a
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180 | b408dbde | Peter Maydell | | signaling NaN; otherwise returns `a'.
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181 | b408dbde | Peter Maydell | *----------------------------------------------------------------------------*/
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182 | b408dbde | Peter Maydell | |
183 | b408dbde | Peter Maydell | float32 float32_maybe_silence_nan( float32 a_ ) |
184 | b408dbde | Peter Maydell | { |
185 | b408dbde | Peter Maydell | if (float32_is_signaling_nan(a_)) {
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186 | b408dbde | Peter Maydell | #if SNAN_BIT_IS_ONE
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187 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
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188 | 93ae1c6f | Aurelien Jarno | return float32_default_nan;
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189 | 93ae1c6f | Aurelien Jarno | # else
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190 | 93ae1c6f | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
191 | 93ae1c6f | Aurelien Jarno | # endif
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192 | b408dbde | Peter Maydell | #else
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193 | 93ae1c6f | Aurelien Jarno | bits32 a = float32_val(a_); |
194 | b408dbde | Peter Maydell | a |= (1 << 22); |
195 | b408dbde | Peter Maydell | return make_float32(a);
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196 | 93ae1c6f | Aurelien Jarno | #endif
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197 | b408dbde | Peter Maydell | } |
198 | b408dbde | Peter Maydell | return a_;
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199 | b408dbde | Peter Maydell | } |
200 | b408dbde | Peter Maydell | |
201 | b408dbde | Peter Maydell | /*----------------------------------------------------------------------------
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202 | 158142c2 | bellard | | Returns the result of converting the single-precision floating-point NaN
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203 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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204 | 158142c2 | bellard | | exception is raised.
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205 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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206 | 158142c2 | bellard | |
207 | 158142c2 | bellard | static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
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208 | 158142c2 | bellard | { |
209 | 158142c2 | bellard | commonNaNT z; |
210 | 158142c2 | bellard | |
211 | 158142c2 | bellard | if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
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212 | f090c9d4 | pbrook | z.sign = float32_val(a)>>31;
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213 | 158142c2 | bellard | z.low = 0;
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214 | f090c9d4 | pbrook | z.high = ( (bits64) float32_val(a) )<<41;
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215 | 158142c2 | bellard | return z;
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216 | 158142c2 | bellard | } |
217 | 158142c2 | bellard | |
218 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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219 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the single-
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220 | 158142c2 | bellard | | precision floating-point format.
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221 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
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222 | 158142c2 | bellard | |
223 | bcd4d9af | Christophe Lyon | static float32 commonNaNToFloat32( commonNaNT a STATUS_PARAM)
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224 | 158142c2 | bellard | { |
225 | 85016c98 | ths | bits32 mantissa = a.high>>41;
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226 | bcd4d9af | Christophe Lyon | |
227 | bcd4d9af | Christophe Lyon | if ( STATUS(default_nan_mode) ) {
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228 | bcd4d9af | Christophe Lyon | return float32_default_nan;
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229 | bcd4d9af | Christophe Lyon | } |
230 | bcd4d9af | Christophe Lyon | |
231 | 85016c98 | ths | if ( mantissa )
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232 | 85016c98 | ths | return make_float32(
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233 | 85016c98 | ths | ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) ); |
234 | 85016c98 | ths | else
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235 | 85016c98 | ths | return float32_default_nan;
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236 | 158142c2 | bellard | } |
237 | 158142c2 | bellard | |
238 | 158142c2 | bellard | /*----------------------------------------------------------------------------
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239 | 354f211b | Peter Maydell | | Select which NaN to propagate for a two-input operation.
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240 | 354f211b | Peter Maydell | | IEEE754 doesn't specify all the details of this, so the
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241 | 354f211b | Peter Maydell | | algorithm is target-specific.
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242 | 354f211b | Peter Maydell | | The routine is passed various bits of information about the
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243 | 354f211b | Peter Maydell | | two NaNs and should return 0 to select NaN a and 1 for NaN b.
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244 | 354f211b | Peter Maydell | | Note that signalling NaNs are always squashed to quiet NaNs
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245 | 1f398e08 | Aurelien Jarno | | by the caller, by calling floatXX_maybe_silence_nan() before
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246 | 1f398e08 | Aurelien Jarno | | returning them.
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247 | 354f211b | Peter Maydell | |
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248 | 354f211b | Peter Maydell | | aIsLargerSignificand is only valid if both a and b are NaNs
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249 | 354f211b | Peter Maydell | | of some kind, and is true if a has the larger significand,
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250 | 354f211b | Peter Maydell | | or if both a and b have the same significand but a is
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251 | 354f211b | Peter Maydell | | positive but b is negative. It is only needed for the x87
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252 | 354f211b | Peter Maydell | | tie-break rule.
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253 | 354f211b | Peter Maydell | *----------------------------------------------------------------------------*/
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254 | 354f211b | Peter Maydell | |
255 | 011da610 | Peter Maydell | #if defined(TARGET_ARM)
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256 | 011da610 | Peter Maydell | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
257 | 011da610 | Peter Maydell | flag aIsLargerSignificand) |
258 | 011da610 | Peter Maydell | { |
259 | 011da610 | Peter Maydell | /* ARM mandated NaN propagation rules: take the first of:
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260 | 011da610 | Peter Maydell | * 1. A if it is signaling
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261 | 011da610 | Peter Maydell | * 2. B if it is signaling
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262 | 011da610 | Peter Maydell | * 3. A (quiet)
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263 | 011da610 | Peter Maydell | * 4. B (quiet)
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264 | 011da610 | Peter Maydell | * A signaling NaN is always quietened before returning it.
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265 | 011da610 | Peter Maydell | */
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266 | 011da610 | Peter Maydell | if (aIsSNaN) {
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267 | 011da610 | Peter Maydell | return 0; |
268 | 011da610 | Peter Maydell | } else if (bIsSNaN) { |
269 | 011da610 | Peter Maydell | return 1; |
270 | 011da610 | Peter Maydell | } else if (aIsQNaN) { |
271 | 011da610 | Peter Maydell | return 0; |
272 | 011da610 | Peter Maydell | } else {
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273 | 011da610 | Peter Maydell | return 1; |
274 | 011da610 | Peter Maydell | } |
275 | 011da610 | Peter Maydell | } |
276 | 084d19ba | Aurelien Jarno | #elif defined(TARGET_MIPS)
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277 | 084d19ba | Aurelien Jarno | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
278 | 084d19ba | Aurelien Jarno | flag aIsLargerSignificand) |
279 | 084d19ba | Aurelien Jarno | { |
280 | 084d19ba | Aurelien Jarno | /* According to MIPS specifications, if one of the two operands is
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281 | 084d19ba | Aurelien Jarno | * a sNaN, a new qNaN has to be generated. This is done in
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282 | 084d19ba | Aurelien Jarno | * floatXX_maybe_silence_nan(). For qNaN inputs the specifications
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283 | 084d19ba | Aurelien Jarno | * says: "When possible, this QNaN result is one of the operand QNaN
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284 | 084d19ba | Aurelien Jarno | * values." In practice it seems that most implementations choose
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285 | 084d19ba | Aurelien Jarno | * the first operand if both operands are qNaN. In short this gives
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286 | 084d19ba | Aurelien Jarno | * the following rules:
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287 | 084d19ba | Aurelien Jarno | * 1. A if it is signaling
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288 | 084d19ba | Aurelien Jarno | * 2. B if it is signaling
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289 | 084d19ba | Aurelien Jarno | * 3. A (quiet)
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290 | 084d19ba | Aurelien Jarno | * 4. B (quiet)
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291 | 084d19ba | Aurelien Jarno | * A signaling NaN is always silenced before returning it.
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292 | 084d19ba | Aurelien Jarno | */
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293 | 084d19ba | Aurelien Jarno | if (aIsSNaN) {
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294 | 084d19ba | Aurelien Jarno | return 0; |
295 | 084d19ba | Aurelien Jarno | } else if (bIsSNaN) { |
296 | 084d19ba | Aurelien Jarno | return 1; |
297 | 084d19ba | Aurelien Jarno | } else if (aIsQNaN) { |
298 | 084d19ba | Aurelien Jarno | return 0; |
299 | 084d19ba | Aurelien Jarno | } else {
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300 | 084d19ba | Aurelien Jarno | return 1; |
301 | 084d19ba | Aurelien Jarno | } |
302 | 084d19ba | Aurelien Jarno | } |
303 | e024e881 | Aurelien Jarno | #elif defined(TARGET_PPC)
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304 | e024e881 | Aurelien Jarno | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
305 | e024e881 | Aurelien Jarno | flag aIsLargerSignificand) |
306 | e024e881 | Aurelien Jarno | { |
307 | e024e881 | Aurelien Jarno | /* PowerPC propagation rules:
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308 | e024e881 | Aurelien Jarno | * 1. A if it sNaN or qNaN
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309 | e024e881 | Aurelien Jarno | * 2. B if it sNaN or qNaN
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310 | e024e881 | Aurelien Jarno | * A signaling NaN is always silenced before returning it.
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311 | e024e881 | Aurelien Jarno | */
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312 | e024e881 | Aurelien Jarno | if (aIsSNaN || aIsQNaN) {
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313 | e024e881 | Aurelien Jarno | return 0; |
314 | e024e881 | Aurelien Jarno | } else {
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315 | e024e881 | Aurelien Jarno | return 1; |
316 | e024e881 | Aurelien Jarno | } |
317 | e024e881 | Aurelien Jarno | } |
318 | 011da610 | Peter Maydell | #else
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319 | 354f211b | Peter Maydell | static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, |
320 | 354f211b | Peter Maydell | flag aIsLargerSignificand) |
321 | 354f211b | Peter Maydell | { |
322 | 354f211b | Peter Maydell | /* This implements x87 NaN propagation rules:
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323 | 354f211b | Peter Maydell | * SNaN + QNaN => return the QNaN
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324 | 354f211b | Peter Maydell | * two SNaNs => return the one with the larger significand, silenced
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325 | 354f211b | Peter Maydell | * two QNaNs => return the one with the larger significand
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326 | 354f211b | Peter Maydell | * SNaN and a non-NaN => return the SNaN, silenced
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327 | 354f211b | Peter Maydell | * QNaN and a non-NaN => return the QNaN
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328 | 354f211b | Peter Maydell | *
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329 | 354f211b | Peter Maydell | * If we get down to comparing significands and they are the same,
|
330 | 354f211b | Peter Maydell | * return the NaN with the positive sign bit (if any).
|
331 | 354f211b | Peter Maydell | */
|
332 | 354f211b | Peter Maydell | if (aIsSNaN) {
|
333 | 354f211b | Peter Maydell | if (bIsSNaN) {
|
334 | 354f211b | Peter Maydell | return aIsLargerSignificand ? 0 : 1; |
335 | 354f211b | Peter Maydell | } |
336 | 354f211b | Peter Maydell | return bIsQNaN ? 1 : 0; |
337 | 354f211b | Peter Maydell | } |
338 | 354f211b | Peter Maydell | else if (aIsQNaN) { |
339 | 354f211b | Peter Maydell | if (bIsSNaN || !bIsQNaN)
|
340 | 354f211b | Peter Maydell | return 0; |
341 | 354f211b | Peter Maydell | else {
|
342 | 354f211b | Peter Maydell | return aIsLargerSignificand ? 0 : 1; |
343 | 354f211b | Peter Maydell | } |
344 | 354f211b | Peter Maydell | } else {
|
345 | 354f211b | Peter Maydell | return 1; |
346 | 354f211b | Peter Maydell | } |
347 | 354f211b | Peter Maydell | } |
348 | 011da610 | Peter Maydell | #endif
|
349 | 354f211b | Peter Maydell | |
350 | 354f211b | Peter Maydell | /*----------------------------------------------------------------------------
|
351 | 158142c2 | bellard | | Takes two single-precision floating-point values `a' and `b', one of which
|
352 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
|
353 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
|
354 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
355 | 158142c2 | bellard | |
356 | 158142c2 | bellard | static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
|
357 | 158142c2 | bellard | { |
358 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
359 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
360 | 1f398e08 | Aurelien Jarno | bits32 av, bv; |
361 | 158142c2 | bellard | |
362 | d735d695 | Aurelien Jarno | aIsQuietNaN = float32_is_quiet_nan( a ); |
363 | 158142c2 | bellard | aIsSignalingNaN = float32_is_signaling_nan( a ); |
364 | d735d695 | Aurelien Jarno | bIsQuietNaN = float32_is_quiet_nan( b ); |
365 | 158142c2 | bellard | bIsSignalingNaN = float32_is_signaling_nan( b ); |
366 | f090c9d4 | pbrook | av = float32_val(a); |
367 | f090c9d4 | pbrook | bv = float32_val(b); |
368 | 1f398e08 | Aurelien Jarno | |
369 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
370 | 354f211b | Peter Maydell | |
371 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) )
|
372 | 10201602 | Aurelien Jarno | return float32_default_nan;
|
373 | 10201602 | Aurelien Jarno | |
374 | 354f211b | Peter Maydell | if ((bits32)(av<<1) < (bits32)(bv<<1)) { |
375 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
376 | 354f211b | Peter Maydell | } else if ((bits32)(bv<<1) < (bits32)(av<<1)) { |
377 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
378 | 354f211b | Peter Maydell | } else {
|
379 | 354f211b | Peter Maydell | aIsLargerSignificand = (av < bv) ? 1 : 0; |
380 | 158142c2 | bellard | } |
381 | 354f211b | Peter Maydell | |
382 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
383 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
384 | 1f398e08 | Aurelien Jarno | return float32_maybe_silence_nan(b);
|
385 | 354f211b | Peter Maydell | } else {
|
386 | 1f398e08 | Aurelien Jarno | return float32_maybe_silence_nan(a);
|
387 | 158142c2 | bellard | } |
388 | 158142c2 | bellard | } |
389 | 158142c2 | bellard | |
390 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
391 | 5a6932d5 | ths | | Returns 1 if the double-precision floating-point value `a' is a quiet
|
392 | 5a6932d5 | ths | | NaN; otherwise returns 0.
|
393 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
394 | 158142c2 | bellard | |
395 | 18569871 | Peter Maydell | int float64_is_quiet_nan( float64 a_ )
|
396 | 158142c2 | bellard | { |
397 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
398 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
399 | b645bb48 | ths | return
|
400 | b645bb48 | ths | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
401 | b645bb48 | ths | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
|
402 | b645bb48 | ths | #else
|
403 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
404 | b645bb48 | ths | #endif
|
405 | 158142c2 | bellard | } |
406 | 158142c2 | bellard | |
407 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
408 | 158142c2 | bellard | | Returns 1 if the double-precision floating-point value `a' is a signaling
|
409 | 158142c2 | bellard | | NaN; otherwise returns 0.
|
410 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
411 | 158142c2 | bellard | |
412 | f090c9d4 | pbrook | int float64_is_signaling_nan( float64 a_ )
|
413 | 158142c2 | bellard | { |
414 | f090c9d4 | pbrook | bits64 a = float64_val(a_); |
415 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
416 | b645bb48 | ths | return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) ); |
417 | b645bb48 | ths | #else
|
418 | 158142c2 | bellard | return
|
419 | 158142c2 | bellard | ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
420 | 158142c2 | bellard | && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
|
421 | b645bb48 | ths | #endif
|
422 | 158142c2 | bellard | } |
423 | 158142c2 | bellard | |
424 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
425 | b408dbde | Peter Maydell | | Returns a quiet NaN if the double-precision floating point value `a' is a
|
426 | b408dbde | Peter Maydell | | signaling NaN; otherwise returns `a'.
|
427 | b408dbde | Peter Maydell | *----------------------------------------------------------------------------*/
|
428 | b408dbde | Peter Maydell | |
429 | b408dbde | Peter Maydell | float64 float64_maybe_silence_nan( float64 a_ ) |
430 | b408dbde | Peter Maydell | { |
431 | b408dbde | Peter Maydell | if (float64_is_signaling_nan(a_)) {
|
432 | b408dbde | Peter Maydell | #if SNAN_BIT_IS_ONE
|
433 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
434 | 93ae1c6f | Aurelien Jarno | return float64_default_nan;
|
435 | 93ae1c6f | Aurelien Jarno | # else
|
436 | 93ae1c6f | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
437 | 93ae1c6f | Aurelien Jarno | # endif
|
438 | b408dbde | Peter Maydell | #else
|
439 | 93ae1c6f | Aurelien Jarno | bits64 a = float64_val(a_); |
440 | b408dbde | Peter Maydell | a |= LIT64( 0x0008000000000000 );
|
441 | b408dbde | Peter Maydell | return make_float64(a);
|
442 | 93ae1c6f | Aurelien Jarno | #endif
|
443 | b408dbde | Peter Maydell | } |
444 | b408dbde | Peter Maydell | return a_;
|
445 | b408dbde | Peter Maydell | } |
446 | b408dbde | Peter Maydell | |
447 | b408dbde | Peter Maydell | /*----------------------------------------------------------------------------
|
448 | 158142c2 | bellard | | Returns the result of converting the double-precision floating-point NaN
|
449 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
450 | 158142c2 | bellard | | exception is raised.
|
451 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
452 | 158142c2 | bellard | |
453 | 158142c2 | bellard | static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
|
454 | 158142c2 | bellard | { |
455 | 158142c2 | bellard | commonNaNT z; |
456 | 158142c2 | bellard | |
457 | 158142c2 | bellard | if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
458 | f090c9d4 | pbrook | z.sign = float64_val(a)>>63;
|
459 | 158142c2 | bellard | z.low = 0;
|
460 | f090c9d4 | pbrook | z.high = float64_val(a)<<12;
|
461 | 158142c2 | bellard | return z;
|
462 | 158142c2 | bellard | } |
463 | 158142c2 | bellard | |
464 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
465 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the double-
|
466 | 158142c2 | bellard | | precision floating-point format.
|
467 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
468 | 158142c2 | bellard | |
469 | bcd4d9af | Christophe Lyon | static float64 commonNaNToFloat64( commonNaNT a STATUS_PARAM)
|
470 | 158142c2 | bellard | { |
471 | 85016c98 | ths | bits64 mantissa = a.high>>12;
|
472 | 85016c98 | ths | |
473 | bcd4d9af | Christophe Lyon | if ( STATUS(default_nan_mode) ) {
|
474 | bcd4d9af | Christophe Lyon | return float64_default_nan;
|
475 | bcd4d9af | Christophe Lyon | } |
476 | bcd4d9af | Christophe Lyon | |
477 | 85016c98 | ths | if ( mantissa )
|
478 | 85016c98 | ths | return make_float64(
|
479 | 85016c98 | ths | ( ( (bits64) a.sign )<<63 )
|
480 | 85016c98 | ths | | LIT64( 0x7FF0000000000000 )
|
481 | 85016c98 | ths | | ( a.high>>12 ));
|
482 | 85016c98 | ths | else
|
483 | 85016c98 | ths | return float64_default_nan;
|
484 | 158142c2 | bellard | } |
485 | 158142c2 | bellard | |
486 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
487 | 158142c2 | bellard | | Takes two double-precision floating-point values `a' and `b', one of which
|
488 | 158142c2 | bellard | | is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
|
489 | 158142c2 | bellard | | signaling NaN, the invalid exception is raised.
|
490 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
491 | 158142c2 | bellard | |
492 | 158142c2 | bellard | static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
|
493 | 158142c2 | bellard | { |
494 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
495 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
496 | 1f398e08 | Aurelien Jarno | bits64 av, bv; |
497 | 158142c2 | bellard | |
498 | d735d695 | Aurelien Jarno | aIsQuietNaN = float64_is_quiet_nan( a ); |
499 | 158142c2 | bellard | aIsSignalingNaN = float64_is_signaling_nan( a ); |
500 | d735d695 | Aurelien Jarno | bIsQuietNaN = float64_is_quiet_nan( b ); |
501 | 158142c2 | bellard | bIsSignalingNaN = float64_is_signaling_nan( b ); |
502 | f090c9d4 | pbrook | av = float64_val(a); |
503 | f090c9d4 | pbrook | bv = float64_val(b); |
504 | 1f398e08 | Aurelien Jarno | |
505 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
506 | 354f211b | Peter Maydell | |
507 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) )
|
508 | 10201602 | Aurelien Jarno | return float64_default_nan;
|
509 | 10201602 | Aurelien Jarno | |
510 | 354f211b | Peter Maydell | if ((bits64)(av<<1) < (bits64)(bv<<1)) { |
511 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
512 | 354f211b | Peter Maydell | } else if ((bits64)(bv<<1) < (bits64)(av<<1)) { |
513 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
514 | 354f211b | Peter Maydell | } else {
|
515 | 354f211b | Peter Maydell | aIsLargerSignificand = (av < bv) ? 1 : 0; |
516 | 158142c2 | bellard | } |
517 | 354f211b | Peter Maydell | |
518 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
519 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
520 | 1f398e08 | Aurelien Jarno | return float64_maybe_silence_nan(b);
|
521 | 354f211b | Peter Maydell | } else {
|
522 | 1f398e08 | Aurelien Jarno | return float64_maybe_silence_nan(a);
|
523 | 158142c2 | bellard | } |
524 | 158142c2 | bellard | } |
525 | 158142c2 | bellard | |
526 | 158142c2 | bellard | #ifdef FLOATX80
|
527 | 158142c2 | bellard | |
528 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
529 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
|
530 | de4af5f7 | Aurelien Jarno | | quiet NaN; otherwise returns 0. This slightly differs from the same
|
531 | de4af5f7 | Aurelien Jarno | | function for other types as floatx80 has an explicit bit.
|
532 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
533 | 158142c2 | bellard | |
534 | 18569871 | Peter Maydell | int floatx80_is_quiet_nan( floatx80 a )
|
535 | 158142c2 | bellard | { |
536 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
537 | 5a6932d5 | ths | bits64 aLow; |
538 | 158142c2 | bellard | |
539 | 5a6932d5 | ths | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
540 | 5a6932d5 | ths | return
|
541 | 5a6932d5 | ths | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
542 | 5a6932d5 | ths | && (bits64) ( aLow<<1 )
|
543 | 5a6932d5 | ths | && ( a.low == aLow ); |
544 | 5a6932d5 | ths | #else
|
545 | de4af5f7 | Aurelien Jarno | return ( ( a.high & 0x7FFF ) == 0x7FFF ) |
546 | de4af5f7 | Aurelien Jarno | && (LIT64( 0x8000000000000000 ) <= ((bits64) ( a.low<<1 ))); |
547 | 5a6932d5 | ths | #endif
|
548 | 158142c2 | bellard | } |
549 | 158142c2 | bellard | |
550 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
551 | 158142c2 | bellard | | Returns 1 if the extended double-precision floating-point value `a' is a
|
552 | de4af5f7 | Aurelien Jarno | | signaling NaN; otherwise returns 0. This slightly differs from the same
|
553 | de4af5f7 | Aurelien Jarno | | function for other types as floatx80 has an explicit bit.
|
554 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
555 | 158142c2 | bellard | |
556 | 750afe93 | bellard | int floatx80_is_signaling_nan( floatx80 a )
|
557 | 158142c2 | bellard | { |
558 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
559 | de4af5f7 | Aurelien Jarno | return ( ( a.high & 0x7FFF ) == 0x7FFF ) |
560 | de4af5f7 | Aurelien Jarno | && (LIT64( 0x8000000000000000 ) <= ((bits64) ( a.low<<1 ))); |
561 | 5a6932d5 | ths | #else
|
562 | 158142c2 | bellard | bits64 aLow; |
563 | 158142c2 | bellard | |
564 | 158142c2 | bellard | aLow = a.low & ~ LIT64( 0x4000000000000000 );
|
565 | 158142c2 | bellard | return
|
566 | 158142c2 | bellard | ( ( a.high & 0x7FFF ) == 0x7FFF ) |
567 | 158142c2 | bellard | && (bits64) ( aLow<<1 )
|
568 | 158142c2 | bellard | && ( a.low == aLow ); |
569 | 5a6932d5 | ths | #endif
|
570 | 158142c2 | bellard | } |
571 | 158142c2 | bellard | |
572 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
573 | f6a7d92a | Aurelien Jarno | | Returns a quiet NaN if the extended double-precision floating point value
|
574 | f6a7d92a | Aurelien Jarno | | `a' is a signaling NaN; otherwise returns `a'.
|
575 | f6a7d92a | Aurelien Jarno | *----------------------------------------------------------------------------*/
|
576 | f6a7d92a | Aurelien Jarno | |
577 | f6a7d92a | Aurelien Jarno | floatx80 floatx80_maybe_silence_nan( floatx80 a ) |
578 | f6a7d92a | Aurelien Jarno | { |
579 | f6a7d92a | Aurelien Jarno | if (floatx80_is_signaling_nan(a)) {
|
580 | f6a7d92a | Aurelien Jarno | #if SNAN_BIT_IS_ONE
|
581 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
582 | f6a7d92a | Aurelien Jarno | a.low = floatx80_default_nan_low; |
583 | f6a7d92a | Aurelien Jarno | a.high = floatx80_default_nan_high; |
584 | f6a7d92a | Aurelien Jarno | # else
|
585 | f6a7d92a | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
586 | f6a7d92a | Aurelien Jarno | # endif
|
587 | f6a7d92a | Aurelien Jarno | #else
|
588 | f6a7d92a | Aurelien Jarno | a.low |= LIT64( 0xC000000000000000 );
|
589 | f6a7d92a | Aurelien Jarno | return a;
|
590 | f6a7d92a | Aurelien Jarno | #endif
|
591 | f6a7d92a | Aurelien Jarno | } |
592 | f6a7d92a | Aurelien Jarno | return a;
|
593 | f6a7d92a | Aurelien Jarno | } |
594 | f6a7d92a | Aurelien Jarno | |
595 | f6a7d92a | Aurelien Jarno | /*----------------------------------------------------------------------------
|
596 | 158142c2 | bellard | | Returns the result of converting the extended double-precision floating-
|
597 | 158142c2 | bellard | | point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
|
598 | 158142c2 | bellard | | invalid exception is raised.
|
599 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
600 | 158142c2 | bellard | |
601 | 158142c2 | bellard | static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
|
602 | 158142c2 | bellard | { |
603 | 158142c2 | bellard | commonNaNT z; |
604 | 158142c2 | bellard | |
605 | 158142c2 | bellard | if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
606 | 158142c2 | bellard | z.sign = a.high>>15;
|
607 | 158142c2 | bellard | z.low = 0;
|
608 | 85016c98 | ths | z.high = a.low; |
609 | 158142c2 | bellard | return z;
|
610 | 158142c2 | bellard | } |
611 | 158142c2 | bellard | |
612 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
613 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the extended
|
614 | 158142c2 | bellard | | double-precision floating-point format.
|
615 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
616 | 158142c2 | bellard | |
617 | bcd4d9af | Christophe Lyon | static floatx80 commonNaNToFloatx80( commonNaNT a STATUS_PARAM)
|
618 | 158142c2 | bellard | { |
619 | 158142c2 | bellard | floatx80 z; |
620 | 158142c2 | bellard | |
621 | bcd4d9af | Christophe Lyon | if ( STATUS(default_nan_mode) ) {
|
622 | bcd4d9af | Christophe Lyon | z.low = floatx80_default_nan_low; |
623 | bcd4d9af | Christophe Lyon | z.high = floatx80_default_nan_high; |
624 | bcd4d9af | Christophe Lyon | return z;
|
625 | bcd4d9af | Christophe Lyon | } |
626 | bcd4d9af | Christophe Lyon | |
627 | 85016c98 | ths | if (a.high)
|
628 | 85016c98 | ths | z.low = a.high; |
629 | 85016c98 | ths | else
|
630 | 85016c98 | ths | z.low = floatx80_default_nan_low; |
631 | 158142c2 | bellard | z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
632 | 158142c2 | bellard | return z;
|
633 | 158142c2 | bellard | } |
634 | 158142c2 | bellard | |
635 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
636 | 158142c2 | bellard | | Takes two extended double-precision floating-point values `a' and `b', one
|
637 | 158142c2 | bellard | | of which is a NaN, and returns the appropriate NaN result. If either `a' or
|
638 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
639 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
640 | 158142c2 | bellard | |
641 | 158142c2 | bellard | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
|
642 | 158142c2 | bellard | { |
643 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
644 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
645 | 158142c2 | bellard | |
646 | d735d695 | Aurelien Jarno | aIsQuietNaN = floatx80_is_quiet_nan( a ); |
647 | 158142c2 | bellard | aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
648 | d735d695 | Aurelien Jarno | bIsQuietNaN = floatx80_is_quiet_nan( b ); |
649 | 158142c2 | bellard | bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
650 | 1f398e08 | Aurelien Jarno | |
651 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
652 | 354f211b | Peter Maydell | |
653 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) ) {
|
654 | 10201602 | Aurelien Jarno | a.low = floatx80_default_nan_low; |
655 | 10201602 | Aurelien Jarno | a.high = floatx80_default_nan_high; |
656 | 10201602 | Aurelien Jarno | return a;
|
657 | 10201602 | Aurelien Jarno | } |
658 | 10201602 | Aurelien Jarno | |
659 | 354f211b | Peter Maydell | if (a.low < b.low) {
|
660 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
661 | 354f211b | Peter Maydell | } else if (b.low < a.low) { |
662 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
663 | 354f211b | Peter Maydell | } else {
|
664 | 354f211b | Peter Maydell | aIsLargerSignificand = (a.high < b.high) ? 1 : 0; |
665 | 158142c2 | bellard | } |
666 | 354f211b | Peter Maydell | |
667 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
668 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
669 | 1f398e08 | Aurelien Jarno | return floatx80_maybe_silence_nan(b);
|
670 | 354f211b | Peter Maydell | } else {
|
671 | 1f398e08 | Aurelien Jarno | return floatx80_maybe_silence_nan(a);
|
672 | 158142c2 | bellard | } |
673 | 158142c2 | bellard | } |
674 | 158142c2 | bellard | |
675 | 158142c2 | bellard | #endif
|
676 | 158142c2 | bellard | |
677 | 158142c2 | bellard | #ifdef FLOAT128
|
678 | 158142c2 | bellard | |
679 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
680 | 5a6932d5 | ths | | Returns 1 if the quadruple-precision floating-point value `a' is a quiet
|
681 | 5a6932d5 | ths | | NaN; otherwise returns 0.
|
682 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
683 | 158142c2 | bellard | |
684 | 18569871 | Peter Maydell | int float128_is_quiet_nan( float128 a )
|
685 | 158142c2 | bellard | { |
686 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
687 | 5a6932d5 | ths | return
|
688 | 5a6932d5 | ths | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
689 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
690 | 5a6932d5 | ths | #else
|
691 | 158142c2 | bellard | return
|
692 | 158142c2 | bellard | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
693 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
694 | 5a6932d5 | ths | #endif
|
695 | 158142c2 | bellard | } |
696 | 158142c2 | bellard | |
697 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
698 | 158142c2 | bellard | | Returns 1 if the quadruple-precision floating-point value `a' is a
|
699 | 158142c2 | bellard | | signaling NaN; otherwise returns 0.
|
700 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
701 | 158142c2 | bellard | |
702 | 750afe93 | bellard | int float128_is_signaling_nan( float128 a )
|
703 | 158142c2 | bellard | { |
704 | 5a6932d5 | ths | #if SNAN_BIT_IS_ONE
|
705 | 5a6932d5 | ths | return
|
706 | 5a6932d5 | ths | ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) ) |
707 | 5a6932d5 | ths | && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
|
708 | 5a6932d5 | ths | #else
|
709 | 158142c2 | bellard | return
|
710 | 158142c2 | bellard | ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) |
711 | 158142c2 | bellard | && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
|
712 | 5a6932d5 | ths | #endif
|
713 | 158142c2 | bellard | } |
714 | 158142c2 | bellard | |
715 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
716 | f6a7d92a | Aurelien Jarno | | Returns a quiet NaN if the quadruple-precision floating point value `a' is
|
717 | f6a7d92a | Aurelien Jarno | | a signaling NaN; otherwise returns `a'.
|
718 | f6a7d92a | Aurelien Jarno | *----------------------------------------------------------------------------*/
|
719 | f6a7d92a | Aurelien Jarno | |
720 | f6a7d92a | Aurelien Jarno | float128 float128_maybe_silence_nan( float128 a ) |
721 | f6a7d92a | Aurelien Jarno | { |
722 | f6a7d92a | Aurelien Jarno | if (float128_is_signaling_nan(a)) {
|
723 | f6a7d92a | Aurelien Jarno | #if SNAN_BIT_IS_ONE
|
724 | e9087750 | Aurelien Jarno | # if defined(TARGET_MIPS) || defined(TARGET_SH4)
|
725 | f6a7d92a | Aurelien Jarno | a.low = float128_default_nan_low; |
726 | f6a7d92a | Aurelien Jarno | a.high = float128_default_nan_high; |
727 | f6a7d92a | Aurelien Jarno | # else
|
728 | f6a7d92a | Aurelien Jarno | # error Rules for silencing a signaling NaN are target-specific |
729 | f6a7d92a | Aurelien Jarno | # endif
|
730 | f6a7d92a | Aurelien Jarno | #else
|
731 | f6a7d92a | Aurelien Jarno | a.high |= LIT64( 0x0000800000000000 );
|
732 | f6a7d92a | Aurelien Jarno | return a;
|
733 | f6a7d92a | Aurelien Jarno | #endif
|
734 | f6a7d92a | Aurelien Jarno | } |
735 | f6a7d92a | Aurelien Jarno | return a;
|
736 | f6a7d92a | Aurelien Jarno | } |
737 | f6a7d92a | Aurelien Jarno | |
738 | f6a7d92a | Aurelien Jarno | /*----------------------------------------------------------------------------
|
739 | 158142c2 | bellard | | Returns the result of converting the quadruple-precision floating-point NaN
|
740 | 158142c2 | bellard | | `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
741 | 158142c2 | bellard | | exception is raised.
|
742 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
743 | 158142c2 | bellard | |
744 | 158142c2 | bellard | static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
|
745 | 158142c2 | bellard | { |
746 | 158142c2 | bellard | commonNaNT z; |
747 | 158142c2 | bellard | |
748 | 158142c2 | bellard | if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
|
749 | 158142c2 | bellard | z.sign = a.high>>63;
|
750 | 158142c2 | bellard | shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
|
751 | 158142c2 | bellard | return z;
|
752 | 158142c2 | bellard | } |
753 | 158142c2 | bellard | |
754 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
755 | 158142c2 | bellard | | Returns the result of converting the canonical NaN `a' to the quadruple-
|
756 | 158142c2 | bellard | | precision floating-point format.
|
757 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
758 | 158142c2 | bellard | |
759 | bcd4d9af | Christophe Lyon | static float128 commonNaNToFloat128( commonNaNT a STATUS_PARAM)
|
760 | 158142c2 | bellard | { |
761 | 158142c2 | bellard | float128 z; |
762 | 158142c2 | bellard | |
763 | bcd4d9af | Christophe Lyon | if ( STATUS(default_nan_mode) ) {
|
764 | bcd4d9af | Christophe Lyon | z.low = float128_default_nan_low; |
765 | bcd4d9af | Christophe Lyon | z.high = float128_default_nan_high; |
766 | bcd4d9af | Christophe Lyon | return z;
|
767 | bcd4d9af | Christophe Lyon | } |
768 | bcd4d9af | Christophe Lyon | |
769 | 158142c2 | bellard | shift128Right( a.high, a.low, 16, &z.high, &z.low );
|
770 | 85016c98 | ths | z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 ); |
771 | 158142c2 | bellard | return z;
|
772 | 158142c2 | bellard | } |
773 | 158142c2 | bellard | |
774 | 158142c2 | bellard | /*----------------------------------------------------------------------------
|
775 | 158142c2 | bellard | | Takes two quadruple-precision floating-point values `a' and `b', one of
|
776 | 158142c2 | bellard | | which is a NaN, and returns the appropriate NaN result. If either `a' or
|
777 | 158142c2 | bellard | | `b' is a signaling NaN, the invalid exception is raised.
|
778 | 158142c2 | bellard | *----------------------------------------------------------------------------*/
|
779 | 158142c2 | bellard | |
780 | 158142c2 | bellard | static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
|
781 | 158142c2 | bellard | { |
782 | d735d695 | Aurelien Jarno | flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; |
783 | d735d695 | Aurelien Jarno | flag aIsLargerSignificand; |
784 | 158142c2 | bellard | |
785 | d735d695 | Aurelien Jarno | aIsQuietNaN = float128_is_quiet_nan( a ); |
786 | 158142c2 | bellard | aIsSignalingNaN = float128_is_signaling_nan( a ); |
787 | d735d695 | Aurelien Jarno | bIsQuietNaN = float128_is_quiet_nan( b ); |
788 | 158142c2 | bellard | bIsSignalingNaN = float128_is_signaling_nan( b ); |
789 | 1f398e08 | Aurelien Jarno | |
790 | 158142c2 | bellard | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
|
791 | 354f211b | Peter Maydell | |
792 | 10201602 | Aurelien Jarno | if ( STATUS(default_nan_mode) ) {
|
793 | 10201602 | Aurelien Jarno | a.low = float128_default_nan_low; |
794 | 10201602 | Aurelien Jarno | a.high = float128_default_nan_high; |
795 | 10201602 | Aurelien Jarno | return a;
|
796 | 10201602 | Aurelien Jarno | } |
797 | 10201602 | Aurelien Jarno | |
798 | 354f211b | Peter Maydell | if (lt128(a.high<<1, a.low, b.high<<1, b.low)) { |
799 | 354f211b | Peter Maydell | aIsLargerSignificand = 0;
|
800 | 354f211b | Peter Maydell | } else if (lt128(b.high<<1, b.low, a.high<<1, a.low)) { |
801 | 354f211b | Peter Maydell | aIsLargerSignificand = 1;
|
802 | 354f211b | Peter Maydell | } else {
|
803 | 354f211b | Peter Maydell | aIsLargerSignificand = (a.high < b.high) ? 1 : 0; |
804 | 158142c2 | bellard | } |
805 | 354f211b | Peter Maydell | |
806 | d735d695 | Aurelien Jarno | if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN,
|
807 | 354f211b | Peter Maydell | aIsLargerSignificand)) { |
808 | 1f398e08 | Aurelien Jarno | return float128_maybe_silence_nan(b);
|
809 | 354f211b | Peter Maydell | } else {
|
810 | 1f398e08 | Aurelien Jarno | return float128_maybe_silence_nan(a);
|
811 | 158142c2 | bellard | } |
812 | 158142c2 | bellard | } |
813 | 158142c2 | bellard | |
814 | 158142c2 | bellard | #endif |