1 | /*============================================================================ |
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2 | |
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3 | This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic |
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4 | Package, Release 2b. |
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5 | |
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6 | Written by John R. Hauser. This work was made possible in part by the |
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7 | International Computer Science Institute, located at Suite 600, 1947 Center |
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8 | Street, Berkeley, California 94704. Funding was partially provided by the |
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9 | National Science Foundation under grant MIP-9311980. The original version |
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10 | of this code was written as part of a project to build a fixed-point vector |
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11 | processor in collaboration with the University of California at Berkeley, |
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12 | overseen by Profs. Nelson Morgan and John Wawrzynek. More information |
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13 | is available through the Web page `http://www.cs.berkeley.edu/~jhauser/ |
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14 | arithmetic/SoftFloat.html'. |
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15 | |
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16 | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has |
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17 | been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES |
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18 | RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS |
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19 | AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES, |
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20 | COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE |
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21 | EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE |
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22 | INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR |
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23 | OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE. |
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24 | |
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25 | Derivative works are acceptable, even for commercial purposes, so long as |
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26 | (1) the source code for the derivative work includes prominent notice that |
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27 | the work is derivative, and (2) the source code includes prominent notice with |
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28 | these four paragraphs for those parts of this code that are retained. |
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29 | |
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30 | =============================================================================*/ |
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31 | |
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32 | #ifndef SOFTFLOAT_H |
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33 | #define SOFTFLOAT_H |
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34 | |
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35 | #include <inttypes.h> |
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36 | #include "config.h" |
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37 | |
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38 | /*---------------------------------------------------------------------------- |
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39 | | Each of the following `typedef's defines the most convenient type that holds |
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40 | | integers of at least as many bits as specified. For example, `uint8' should |
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41 | | be the most convenient type that can hold unsigned integers of as many as |
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42 | | 8 bits. The `flag' type must be able to hold either a 0 or 1. For most |
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43 | | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed |
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44 | | to the same as `int'. |
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45 | *----------------------------------------------------------------------------*/ |
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46 | typedef char flag; |
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47 | typedef uint8_t uint8; |
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48 | typedef int8_t int8; |
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49 | typedef int uint16; |
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50 | typedef int int16; |
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51 | typedef unsigned int uint32; |
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52 | typedef signed int int32; |
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53 | typedef uint64_t uint64; |
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54 | typedef int64_t int64; |
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55 | |
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56 | /*---------------------------------------------------------------------------- |
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57 | | Each of the following `typedef's defines a type that holds integers |
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58 | | of _exactly_ the number of bits specified. For instance, for most |
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59 | | implementation of C, `bits16' and `sbits16' should be `typedef'ed to |
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60 | | `unsigned short int' and `signed short int' (or `short int'), respectively. |
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61 | *----------------------------------------------------------------------------*/ |
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62 | typedef uint8_t bits8; |
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63 | typedef int8_t sbits8; |
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64 | typedef uint16_t bits16; |
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65 | typedef int16_t sbits16; |
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66 | typedef uint32_t bits32; |
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67 | typedef int32_t sbits32; |
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68 | typedef uint64_t bits64; |
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69 | typedef int64_t sbits64; |
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70 | |
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71 | #define LIT64( a ) a##LL |
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72 | #define INLINE static inline |
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73 | |
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74 | /*---------------------------------------------------------------------------- |
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75 | | The macro `FLOATX80' must be defined to enable the extended double-precision |
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76 | | floating-point format `floatx80'. If this macro is not defined, the |
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77 | | `floatx80' type will not be defined, and none of the functions that either |
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78 | | input or output the `floatx80' type will be defined. The same applies to |
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79 | | the `FLOAT128' macro and the quadruple-precision format `float128'. |
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80 | *----------------------------------------------------------------------------*/ |
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81 | #ifdef CONFIG_SOFTFLOAT |
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82 | /* bit exact soft float support */ |
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83 | #define FLOATX80 |
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84 | #define FLOAT128 |
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85 | #else |
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86 | /* native float support */ |
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87 | #if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD) |
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88 | #define FLOATX80 |
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89 | #endif |
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90 | #endif /* !CONFIG_SOFTFLOAT */ |
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91 | |
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92 | #define STATUS_PARAM , float_status *status |
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93 | #define STATUS(field) status->field |
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94 | #define STATUS_VAR , status |
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95 | |
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96 | /*---------------------------------------------------------------------------- |
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97 | | Software IEC/IEEE floating-point ordering relations |
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98 | *----------------------------------------------------------------------------*/ |
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99 | enum { |
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100 | float_relation_less = -1, |
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101 | float_relation_equal = 0, |
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102 | float_relation_greater = 1, |
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103 | float_relation_unordered = 2 |
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104 | }; |
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105 | |
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106 | #ifdef CONFIG_SOFTFLOAT |
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107 | /*---------------------------------------------------------------------------- |
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108 | | Software IEC/IEEE floating-point types. |
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109 | *----------------------------------------------------------------------------*/ |
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110 | typedef uint32_t float32; |
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111 | typedef uint64_t float64; |
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112 | #ifdef FLOATX80 |
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113 | typedef struct { |
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114 | uint64_t low; |
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115 | uint16_t high; |
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116 | } floatx80; |
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117 | #endif |
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118 | #ifdef FLOAT128 |
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119 | typedef struct { |
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120 | #ifdef WORDS_BIGENDIAN |
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121 | uint64_t high, low; |
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122 | #else |
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123 | uint64_t low, high; |
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124 | #endif |
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125 | } float128; |
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126 | #endif |
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127 | |
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128 | /*---------------------------------------------------------------------------- |
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129 | | Software IEC/IEEE floating-point underflow tininess-detection mode. |
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130 | *----------------------------------------------------------------------------*/ |
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131 | enum { |
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132 | float_tininess_after_rounding = 0, |
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133 | float_tininess_before_rounding = 1 |
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134 | }; |
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135 | |
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136 | /*---------------------------------------------------------------------------- |
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137 | | Software IEC/IEEE floating-point rounding mode. |
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138 | *----------------------------------------------------------------------------*/ |
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139 | enum { |
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140 | float_round_nearest_even = 0, |
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141 | float_round_down = 1, |
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142 | float_round_up = 2, |
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143 | float_round_to_zero = 3 |
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144 | }; |
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145 | |
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146 | /*---------------------------------------------------------------------------- |
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147 | | Software IEC/IEEE floating-point exception flags. |
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148 | *----------------------------------------------------------------------------*/ |
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149 | enum { |
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150 | float_flag_invalid = 1, |
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151 | float_flag_divbyzero = 4, |
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152 | float_flag_overflow = 8, |
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153 | float_flag_underflow = 16, |
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154 | float_flag_inexact = 32 |
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155 | }; |
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156 | |
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157 | typedef struct float_status { |
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158 | signed char float_detect_tininess; |
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159 | signed char float_rounding_mode; |
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160 | signed char float_exception_flags; |
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161 | #ifdef FLOATX80 |
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162 | signed char floatx80_rounding_precision; |
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163 | #endif |
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164 | } float_status; |
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165 | |
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166 | void set_float_rounding_mode(int val STATUS_PARAM); |
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167 | void set_float_exception_flags(int val STATUS_PARAM); |
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168 | INLINE int get_float_exception_flags(float_status *status) |
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169 | { |
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170 | return STATUS(float_exception_flags); |
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171 | } |
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172 | #ifdef FLOATX80 |
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173 | void set_floatx80_rounding_precision(int val STATUS_PARAM); |
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174 | #endif |
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175 | |
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176 | /*---------------------------------------------------------------------------- |
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177 | | Routine to raise any or all of the software IEC/IEEE floating-point |
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178 | | exception flags. |
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179 | *----------------------------------------------------------------------------*/ |
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180 | void float_raise( int8 flags STATUS_PARAM); |
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181 | |
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182 | /*---------------------------------------------------------------------------- |
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183 | | Software IEC/IEEE integer-to-floating-point conversion routines. |
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184 | *----------------------------------------------------------------------------*/ |
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185 | float32 int32_to_float32( int STATUS_PARAM ); |
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186 | float64 int32_to_float64( int STATUS_PARAM ); |
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187 | float32 uint32_to_float32( unsigned int STATUS_PARAM ); |
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188 | float64 uint32_to_float64( unsigned int STATUS_PARAM ); |
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189 | #ifdef FLOATX80 |
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190 | floatx80 int32_to_floatx80( int STATUS_PARAM ); |
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191 | #endif |
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192 | #ifdef FLOAT128 |
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193 | float128 int32_to_float128( int STATUS_PARAM ); |
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194 | #endif |
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195 | float32 int64_to_float32( int64_t STATUS_PARAM ); |
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196 | float64 int64_to_float64( int64_t STATUS_PARAM ); |
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197 | #ifdef FLOATX80 |
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198 | floatx80 int64_to_floatx80( int64_t STATUS_PARAM ); |
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199 | #endif |
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200 | #ifdef FLOAT128 |
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201 | float128 int64_to_float128( int64_t STATUS_PARAM ); |
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202 | #endif |
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203 | |
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204 | /*---------------------------------------------------------------------------- |
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205 | | Software IEC/IEEE single-precision conversion routines. |
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206 | *----------------------------------------------------------------------------*/ |
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207 | int float32_to_int32( float32 STATUS_PARAM ); |
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208 | int float32_to_int32_round_to_zero( float32 STATUS_PARAM ); |
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209 | unsigned int float32_to_uint32( float32 STATUS_PARAM ); |
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210 | unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM ); |
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211 | int64_t float32_to_int64( float32 STATUS_PARAM ); |
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212 | int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM ); |
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213 | float64 float32_to_float64( float32 STATUS_PARAM ); |
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214 | #ifdef FLOATX80 |
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215 | floatx80 float32_to_floatx80( float32 STATUS_PARAM ); |
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216 | #endif |
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217 | #ifdef FLOAT128 |
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218 | float128 float32_to_float128( float32 STATUS_PARAM ); |
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219 | #endif |
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220 | |
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221 | /*---------------------------------------------------------------------------- |
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222 | | Software IEC/IEEE single-precision operations. |
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223 | *----------------------------------------------------------------------------*/ |
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224 | float32 float32_round_to_int( float32 STATUS_PARAM ); |
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225 | float32 float32_add( float32, float32 STATUS_PARAM ); |
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226 | float32 float32_sub( float32, float32 STATUS_PARAM ); |
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227 | float32 float32_mul( float32, float32 STATUS_PARAM ); |
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228 | float32 float32_div( float32, float32 STATUS_PARAM ); |
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229 | float32 float32_rem( float32, float32 STATUS_PARAM ); |
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230 | float32 float32_sqrt( float32 STATUS_PARAM ); |
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231 | char float32_eq( float32, float32 STATUS_PARAM ); |
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232 | char float32_le( float32, float32 STATUS_PARAM ); |
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233 | char float32_lt( float32, float32 STATUS_PARAM ); |
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234 | char float32_eq_signaling( float32, float32 STATUS_PARAM ); |
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235 | char float32_le_quiet( float32, float32 STATUS_PARAM ); |
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236 | char float32_lt_quiet( float32, float32 STATUS_PARAM ); |
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237 | char float32_compare( float32, float32 STATUS_PARAM ); |
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238 | char float32_compare_quiet( float32, float32 STATUS_PARAM ); |
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239 | char float32_is_signaling_nan( float32 ); |
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240 | |
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241 | INLINE float32 float32_abs(float32 a) |
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242 | { |
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243 | return a & 0x7fffffff; |
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244 | } |
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245 | |
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246 | INLINE float32 float32_chs(float32 a) |
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247 | { |
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248 | return a ^ 0x80000000; |
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249 | } |
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250 | |
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251 | /*---------------------------------------------------------------------------- |
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252 | | Software IEC/IEEE double-precision conversion routines. |
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253 | *----------------------------------------------------------------------------*/ |
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254 | int float64_to_int32( float64 STATUS_PARAM ); |
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255 | int float64_to_int32_round_to_zero( float64 STATUS_PARAM ); |
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256 | unsigned int float64_to_uint32( float64 STATUS_PARAM ); |
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257 | unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM ); |
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258 | int64_t float64_to_int64( float64 STATUS_PARAM ); |
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259 | int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM ); |
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260 | float32 float64_to_float32( float64 STATUS_PARAM ); |
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261 | #ifdef FLOATX80 |
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262 | floatx80 float64_to_floatx80( float64 STATUS_PARAM ); |
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263 | #endif |
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264 | #ifdef FLOAT128 |
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265 | float128 float64_to_float128( float64 STATUS_PARAM ); |
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266 | #endif |
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267 | |
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268 | /*---------------------------------------------------------------------------- |
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269 | | Software IEC/IEEE double-precision operations. |
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270 | *----------------------------------------------------------------------------*/ |
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271 | float64 float64_round_to_int( float64 STATUS_PARAM ); |
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272 | float64 float64_add( float64, float64 STATUS_PARAM ); |
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273 | float64 float64_sub( float64, float64 STATUS_PARAM ); |
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274 | float64 float64_mul( float64, float64 STATUS_PARAM ); |
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275 | float64 float64_div( float64, float64 STATUS_PARAM ); |
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276 | float64 float64_rem( float64, float64 STATUS_PARAM ); |
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277 | float64 float64_sqrt( float64 STATUS_PARAM ); |
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278 | char float64_eq( float64, float64 STATUS_PARAM ); |
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279 | char float64_le( float64, float64 STATUS_PARAM ); |
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280 | char float64_lt( float64, float64 STATUS_PARAM ); |
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281 | char float64_eq_signaling( float64, float64 STATUS_PARAM ); |
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282 | char float64_le_quiet( float64, float64 STATUS_PARAM ); |
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283 | char float64_lt_quiet( float64, float64 STATUS_PARAM ); |
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284 | char float64_compare( float64, float64 STATUS_PARAM ); |
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285 | char float64_compare_quiet( float64, float64 STATUS_PARAM ); |
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286 | char float64_is_signaling_nan( float64 ); |
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287 | |
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288 | INLINE float64 float64_abs(float64 a) |
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289 | { |
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290 | return a & 0x7fffffffffffffffLL; |
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291 | } |
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292 | |
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293 | INLINE float64 float64_chs(float64 a) |
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294 | { |
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295 | return a ^ 0x8000000000000000LL; |
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296 | } |
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297 | |
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298 | #ifdef FLOATX80 |
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299 | |
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300 | /*---------------------------------------------------------------------------- |
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301 | | Software IEC/IEEE extended double-precision conversion routines. |
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302 | *----------------------------------------------------------------------------*/ |
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303 | int floatx80_to_int32( floatx80 STATUS_PARAM ); |
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304 | int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM ); |
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305 | int64_t floatx80_to_int64( floatx80 STATUS_PARAM ); |
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306 | int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM ); |
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307 | float32 floatx80_to_float32( floatx80 STATUS_PARAM ); |
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308 | float64 floatx80_to_float64( floatx80 STATUS_PARAM ); |
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309 | #ifdef FLOAT128 |
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310 | float128 floatx80_to_float128( floatx80 STATUS_PARAM ); |
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311 | #endif |
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312 | |
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313 | /*---------------------------------------------------------------------------- |
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314 | | Software IEC/IEEE extended double-precision operations. |
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315 | *----------------------------------------------------------------------------*/ |
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316 | floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM ); |
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317 | floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM ); |
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318 | floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM ); |
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319 | floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM ); |
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320 | floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM ); |
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321 | floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM ); |
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322 | floatx80 floatx80_sqrt( floatx80 STATUS_PARAM ); |
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323 | char floatx80_eq( floatx80, floatx80 STATUS_PARAM ); |
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324 | char floatx80_le( floatx80, floatx80 STATUS_PARAM ); |
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325 | char floatx80_lt( floatx80, floatx80 STATUS_PARAM ); |
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326 | char floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM ); |
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327 | char floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM ); |
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328 | char floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM ); |
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329 | char floatx80_is_signaling_nan( floatx80 ); |
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330 | |
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331 | INLINE floatx80 floatx80_abs(floatx80 a) |
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332 | { |
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333 | a.high &= 0x7fff; |
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334 | return a; |
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335 | } |
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336 | |
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337 | INLINE floatx80 floatx80_chs(floatx80 a) |
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338 | { |
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339 | a.high ^= 0x8000; |
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340 | return a; |
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341 | } |
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342 | |
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343 | #endif |
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344 | |
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345 | #ifdef FLOAT128 |
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346 | |
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347 | /*---------------------------------------------------------------------------- |
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348 | | Software IEC/IEEE quadruple-precision conversion routines. |
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349 | *----------------------------------------------------------------------------*/ |
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350 | int float128_to_int32( float128 STATUS_PARAM ); |
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351 | int float128_to_int32_round_to_zero( float128 STATUS_PARAM ); |
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352 | int64_t float128_to_int64( float128 STATUS_PARAM ); |
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353 | int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM ); |
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354 | float32 float128_to_float32( float128 STATUS_PARAM ); |
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355 | float64 float128_to_float64( float128 STATUS_PARAM ); |
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356 | #ifdef FLOATX80 |
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357 | floatx80 float128_to_floatx80( float128 STATUS_PARAM ); |
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358 | #endif |
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359 | |
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360 | /*---------------------------------------------------------------------------- |
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361 | | Software IEC/IEEE quadruple-precision operations. |
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362 | *----------------------------------------------------------------------------*/ |
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363 | float128 float128_round_to_int( float128 STATUS_PARAM ); |
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364 | float128 float128_add( float128, float128 STATUS_PARAM ); |
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365 | float128 float128_sub( float128, float128 STATUS_PARAM ); |
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366 | float128 float128_mul( float128, float128 STATUS_PARAM ); |
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367 | float128 float128_div( float128, float128 STATUS_PARAM ); |
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368 | float128 float128_rem( float128, float128 STATUS_PARAM ); |
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369 | float128 float128_sqrt( float128 STATUS_PARAM ); |
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370 | char float128_eq( float128, float128 STATUS_PARAM ); |
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371 | char float128_le( float128, float128 STATUS_PARAM ); |
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372 | char float128_lt( float128, float128 STATUS_PARAM ); |
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373 | char float128_eq_signaling( float128, float128 STATUS_PARAM ); |
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374 | char float128_le_quiet( float128, float128 STATUS_PARAM ); |
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375 | char float128_lt_quiet( float128, float128 STATUS_PARAM ); |
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376 | char float128_is_signaling_nan( float128 ); |
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377 | |
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378 | INLINE float128 float128_abs(float128 a) |
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379 | { |
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380 | a.high &= 0x7fffffffffffffffLL; |
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381 | return a; |
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382 | } |
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383 | |
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384 | INLINE float128 float128_chs(float128 a) |
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385 | { |
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386 | a.high ^= 0x8000000000000000LL; |
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387 | return a; |
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388 | } |
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389 | |
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390 | #endif |
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391 | |
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392 | #else /* CONFIG_SOFTFLOAT */ |
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393 | |
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394 | #include "softfloat-native.h" |
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395 | |
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396 | #endif /* !CONFIG_SOFTFLOAT */ |
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397 | |
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398 | #endif /* !SOFTFLOAT_H */ |
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