| 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 uint8_t 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) || defined(VBOX))
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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 | #if defined(VBOX) && (!defined(FLOATX80) || defined(CONFIG_SOFTFLOAT))
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| 92 | # error misconfigured
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| 93 | #endif
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| 94 |
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| 95 | #define STATUS_PARAM , float_status *status
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| 96 | #define STATUS(field) status->field
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| 97 | #define STATUS_VAR , status
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| 98 |
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| 99 | /*----------------------------------------------------------------------------
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| 100 | | Software IEC/IEEE floating-point ordering relations
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| 101 | *----------------------------------------------------------------------------*/
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| 102 | enum {
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| 103 | float_relation_less = -1,
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| 104 | float_relation_equal = 0,
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| 105 | float_relation_greater = 1,
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| 106 | float_relation_unordered = 2
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| 107 | };
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| 108 |
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| 109 | #ifdef CONFIG_SOFTFLOAT
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| 110 | /*----------------------------------------------------------------------------
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| 111 | | Software IEC/IEEE floating-point types.
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| 112 | *----------------------------------------------------------------------------*/
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| 113 | typedef uint32_t float32;
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| 114 | typedef uint64_t float64;
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| 115 | #ifdef FLOATX80
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| 116 | typedef struct {
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| 117 | uint64_t low;
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| 118 | uint16_t high;
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| 119 | } floatx80;
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| 120 | #endif
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| 121 | #ifdef FLOAT128
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| 122 | typedef struct {
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| 123 | #ifdef WORDS_BIGENDIAN
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| 124 | uint64_t high, low;
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| 125 | #else
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| 126 | uint64_t low, high;
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| 127 | #endif
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| 128 | } float128;
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| 129 | #endif
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| 130 |
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| 131 | /*----------------------------------------------------------------------------
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| 132 | | Software IEC/IEEE floating-point underflow tininess-detection mode.
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| 133 | *----------------------------------------------------------------------------*/
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| 134 | enum {
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| 135 | float_tininess_after_rounding = 0,
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| 136 | float_tininess_before_rounding = 1
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| 137 | };
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| 138 |
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| 139 | /*----------------------------------------------------------------------------
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| 140 | | Software IEC/IEEE floating-point rounding mode.
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| 141 | *----------------------------------------------------------------------------*/
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| 142 | enum {
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| 143 | float_round_nearest_even = 0,
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| 144 | float_round_down = 1,
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| 145 | float_round_up = 2,
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| 146 | float_round_to_zero = 3
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| 147 | };
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| 148 |
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| 149 | /*----------------------------------------------------------------------------
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| 150 | | Software IEC/IEEE floating-point exception flags.
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| 151 | *----------------------------------------------------------------------------*/
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| 152 | enum {
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| 153 | float_flag_invalid = 1,
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| 154 | float_flag_divbyzero = 4,
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| 155 | float_flag_overflow = 8,
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| 156 | float_flag_underflow = 16,
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| 157 | float_flag_inexact = 32
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| 158 | };
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| 159 |
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| 160 | typedef struct float_status {
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| 161 | signed char float_detect_tininess;
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| 162 | signed char float_rounding_mode;
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| 163 | signed char float_exception_flags;
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| 164 | #ifdef FLOATX80
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| 165 | signed char floatx80_rounding_precision;
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| 166 | #endif
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| 167 | } float_status;
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| 168 |
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| 169 | void set_float_rounding_mode(int val STATUS_PARAM);
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| 170 | void set_float_exception_flags(int val STATUS_PARAM);
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| 171 | INLINE int get_float_exception_flags(float_status *status)
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| 172 | {
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| 173 | return STATUS(float_exception_flags);
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| 174 | }
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| 175 | #ifdef FLOATX80
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| 176 | void set_floatx80_rounding_precision(int val STATUS_PARAM);
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| 177 | #endif
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| 178 |
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| 179 | /*----------------------------------------------------------------------------
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| 180 | | Routine to raise any or all of the software IEC/IEEE floating-point
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| 181 | | exception flags.
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| 182 | *----------------------------------------------------------------------------*/
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| 183 | void float_raise( int8 flags STATUS_PARAM);
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| 184 |
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| 185 | /*----------------------------------------------------------------------------
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| 186 | | Software IEC/IEEE integer-to-floating-point conversion routines.
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| 187 | *----------------------------------------------------------------------------*/
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| 188 | float32 int32_to_float32( int STATUS_PARAM );
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| 189 | float64 int32_to_float64( int STATUS_PARAM );
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| 190 | float32 uint32_to_float32( unsigned int STATUS_PARAM );
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| 191 | float64 uint32_to_float64( unsigned int STATUS_PARAM );
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| 192 | #ifdef FLOATX80
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| 193 | floatx80 int32_to_floatx80( int STATUS_PARAM );
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| 194 | #endif
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| 195 | #ifdef FLOAT128
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| 196 | float128 int32_to_float128( int STATUS_PARAM );
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| 197 | #endif
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| 198 | float32 int64_to_float32( int64_t STATUS_PARAM );
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| 199 | float64 int64_to_float64( int64_t STATUS_PARAM );
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| 200 | #ifdef FLOATX80
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| 201 | floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
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| 202 | #endif
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| 203 | #ifdef FLOAT128
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| 204 | float128 int64_to_float128( int64_t STATUS_PARAM );
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| 205 | #endif
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| 206 |
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| 207 | /*----------------------------------------------------------------------------
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| 208 | | Software IEC/IEEE single-precision conversion routines.
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| 209 | *----------------------------------------------------------------------------*/
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| 210 | int float32_to_int32( float32 STATUS_PARAM );
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| 211 | int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
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| 212 | unsigned int float32_to_uint32( float32 STATUS_PARAM );
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| 213 | unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
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| 214 | int64_t float32_to_int64( float32 STATUS_PARAM );
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| 215 | int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
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| 216 | float64 float32_to_float64( float32 STATUS_PARAM );
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| 217 | #ifdef FLOATX80
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| 218 | floatx80 float32_to_floatx80( float32 STATUS_PARAM );
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| 219 | #endif
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| 220 | #ifdef FLOAT128
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| 221 | float128 float32_to_float128( float32 STATUS_PARAM );
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| 222 | #endif
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| 223 |
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| 224 | /*----------------------------------------------------------------------------
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| 225 | | Software IEC/IEEE single-precision operations.
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| 226 | *----------------------------------------------------------------------------*/
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| 227 | float32 float32_round_to_int( float32 STATUS_PARAM );
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| 228 | float32 float32_add( float32, float32 STATUS_PARAM );
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| 229 | float32 float32_sub( float32, float32 STATUS_PARAM );
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| 230 | float32 float32_mul( float32, float32 STATUS_PARAM );
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| 231 | float32 float32_div( float32, float32 STATUS_PARAM );
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| 232 | float32 float32_rem( float32, float32 STATUS_PARAM );
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| 233 | float32 float32_sqrt( float32 STATUS_PARAM );
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| 234 | int float32_eq( float32, float32 STATUS_PARAM );
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| 235 | int float32_le( float32, float32 STATUS_PARAM );
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| 236 | int float32_lt( float32, float32 STATUS_PARAM );
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| 237 | int float32_eq_signaling( float32, float32 STATUS_PARAM );
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| 238 | int float32_le_quiet( float32, float32 STATUS_PARAM );
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| 239 | int float32_lt_quiet( float32, float32 STATUS_PARAM );
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| 240 | int float32_compare( float32, float32 STATUS_PARAM );
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| 241 | int float32_compare_quiet( float32, float32 STATUS_PARAM );
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| 242 | int float32_is_signaling_nan( float32 );
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| 243 | int float64_is_nan( float64 a );
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| 244 |
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| 245 | INLINE float32 float32_abs(float32 a)
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| 246 | {
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| 247 | return a & 0x7fffffff;
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| 248 | }
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| 249 |
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| 250 | INLINE float32 float32_chs(float32 a)
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| 251 | {
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| 252 | return a ^ 0x80000000;
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| 253 | }
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| 254 |
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| 255 | /*----------------------------------------------------------------------------
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| 256 | | Software IEC/IEEE double-precision conversion routines.
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| 257 | *----------------------------------------------------------------------------*/
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| 258 | int float64_to_int32( float64 STATUS_PARAM );
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| 259 | int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
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| 260 | unsigned int float64_to_uint32( float64 STATUS_PARAM );
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| 261 | unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
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| 262 | int64_t float64_to_int64( float64 STATUS_PARAM );
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| 263 | int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
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| 264 | float32 float64_to_float32( float64 STATUS_PARAM );
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| 265 | #ifdef FLOATX80
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| 266 | floatx80 float64_to_floatx80( float64 STATUS_PARAM );
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| 267 | #endif
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| 268 | #ifdef FLOAT128
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| 269 | float128 float64_to_float128( float64 STATUS_PARAM );
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| 270 | #endif
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| 271 |
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| 272 | /*----------------------------------------------------------------------------
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| 273 | | Software IEC/IEEE double-precision operations.
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| 274 | *----------------------------------------------------------------------------*/
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| 275 | float64 float64_round_to_int( float64 STATUS_PARAM );
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| 276 | float64 float64_trunc_to_int( float64 STATUS_PARAM );
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| 277 | float64 float64_add( float64, float64 STATUS_PARAM );
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| 278 | float64 float64_sub( float64, float64 STATUS_PARAM );
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| 279 | float64 float64_mul( float64, float64 STATUS_PARAM );
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| 280 | float64 float64_div( float64, float64 STATUS_PARAM );
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| 281 | float64 float64_rem( float64, float64 STATUS_PARAM );
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| 282 | float64 float64_sqrt( float64 STATUS_PARAM );
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| 283 | int float64_eq( float64, float64 STATUS_PARAM );
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| 284 | int float64_le( float64, float64 STATUS_PARAM );
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| 285 | int float64_lt( float64, float64 STATUS_PARAM );
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| 286 | int float64_eq_signaling( float64, float64 STATUS_PARAM );
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| 287 | int float64_le_quiet( float64, float64 STATUS_PARAM );
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| 288 | int float64_lt_quiet( float64, float64 STATUS_PARAM );
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| 289 | int float64_compare( float64, float64 STATUS_PARAM );
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| 290 | int float64_compare_quiet( float64, float64 STATUS_PARAM );
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| 291 | int float64_is_signaling_nan( float64 );
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| 292 |
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| 293 | INLINE float64 float64_abs(float64 a)
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| 294 | {
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| 295 | return a & 0x7fffffffffffffffLL;
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| 296 | }
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| 297 |
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| 298 | INLINE float64 float64_chs(float64 a)
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| 299 | {
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| 300 | return a ^ 0x8000000000000000LL;
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| 301 | }
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| 302 |
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| 303 | #ifdef FLOATX80
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| 304 |
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| 305 | /*----------------------------------------------------------------------------
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| 306 | | Software IEC/IEEE extended double-precision conversion routines.
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| 307 | *----------------------------------------------------------------------------*/
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| 308 | int floatx80_to_int32( floatx80 STATUS_PARAM );
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| 309 | int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
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| 310 | int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
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| 311 | int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
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| 312 | float32 floatx80_to_float32( floatx80 STATUS_PARAM );
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| 313 | float64 floatx80_to_float64( floatx80 STATUS_PARAM );
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| 314 | #ifdef FLOAT128
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| 315 | float128 floatx80_to_float128( floatx80 STATUS_PARAM );
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| 316 | #endif
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| 317 |
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| 318 | /*----------------------------------------------------------------------------
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| 319 | | Software IEC/IEEE extended double-precision operations.
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| 320 | *----------------------------------------------------------------------------*/
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| 321 | floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
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| 322 | floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
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| 323 | floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
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| 324 | floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
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| 325 | floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
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| 326 | floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
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| 327 | floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
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| 328 | int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
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| 329 | int floatx80_le( floatx80, floatx80 STATUS_PARAM );
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| 330 | int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
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| 331 | int floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
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| 332 | int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
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| 333 | int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
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| 334 | int floatx80_is_signaling_nan( floatx80 );
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| 335 |
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| 336 | INLINE floatx80 floatx80_abs(floatx80 a)
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| 337 | {
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| 338 | a.high &= 0x7fff;
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| 339 | return a;
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| 340 | }
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| 341 |
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| 342 | INLINE floatx80 floatx80_chs(floatx80 a)
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| 343 | {
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| 344 | a.high ^= 0x8000;
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| 345 | return a;
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| 346 | }
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| 347 |
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| 348 | #endif
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| 349 |
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| 350 | #ifdef FLOAT128
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| 351 |
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| 352 | /*----------------------------------------------------------------------------
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| 353 | | Software IEC/IEEE quadruple-precision conversion routines.
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| 354 | *----------------------------------------------------------------------------*/
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| 355 | int float128_to_int32( float128 STATUS_PARAM );
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| 356 | int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
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| 357 | int64_t float128_to_int64( float128 STATUS_PARAM );
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| 358 | int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
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| 359 | float32 float128_to_float32( float128 STATUS_PARAM );
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| 360 | float64 float128_to_float64( float128 STATUS_PARAM );
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| 361 | #ifdef FLOATX80
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| 362 | floatx80 float128_to_floatx80( float128 STATUS_PARAM );
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| 363 | #endif
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| 364 |
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| 365 | /*----------------------------------------------------------------------------
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| 366 | | Software IEC/IEEE quadruple-precision operations.
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| 367 | *----------------------------------------------------------------------------*/
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| 368 | float128 float128_round_to_int( float128 STATUS_PARAM );
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| 369 | float128 float128_add( float128, float128 STATUS_PARAM );
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| 370 | float128 float128_sub( float128, float128 STATUS_PARAM );
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| 371 | float128 float128_mul( float128, float128 STATUS_PARAM );
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| 372 | float128 float128_div( float128, float128 STATUS_PARAM );
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| 373 | float128 float128_rem( float128, float128 STATUS_PARAM );
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| 374 | float128 float128_sqrt( float128 STATUS_PARAM );
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| 375 | int float128_eq( float128, float128 STATUS_PARAM );
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| 376 | int float128_le( float128, float128 STATUS_PARAM );
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| 377 | int float128_lt( float128, float128 STATUS_PARAM );
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| 378 | int float128_eq_signaling( float128, float128 STATUS_PARAM );
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| 379 | int float128_le_quiet( float128, float128 STATUS_PARAM );
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| 380 | int float128_lt_quiet( float128, float128 STATUS_PARAM );
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| 381 | int float128_is_signaling_nan( float128 );
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| 382 |
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| 383 | INLINE float128 float128_abs(float128 a)
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| 384 | {
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| 385 | a.high &= 0x7fffffffffffffffLL;
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| 386 | return a;
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| 387 | }
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| 388 |
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| 389 | INLINE float128 float128_chs(float128 a)
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| 390 | {
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| 391 | a.high ^= 0x8000000000000000LL;
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| 392 | return a;
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| 393 | }
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| 394 |
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| 395 | #endif
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| 396 |
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| 397 | #else /* CONFIG_SOFTFLOAT */
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| 398 |
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| 399 | #include "softfloat-native.h"
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| 400 |
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| 401 | #endif /* !CONFIG_SOFTFLOAT */
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| 402 |
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| 403 | #endif /* !SOFTFLOAT_H */
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