530 lines
19 KiB
C
530 lines
19 KiB
C
/*============================================================================
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This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
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Package, Release 2b.
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Written by John R. Hauser. This work was made possible in part by the
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International Computer Science Institute, located at Suite 600, 1947 Center
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Street, Berkeley, California 94704. Funding was partially provided by the
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National Science Foundation under grant MIP-9311980. The original version
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of this code was written as part of a project to build a fixed-point vector
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processor in collaboration with the University of California at Berkeley,
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overseen by Profs. Nelson Morgan and John Wawrzynek. More information
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is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
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arithmetic/SoftFloat.html'.
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THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
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been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
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RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
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AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
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COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
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EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
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INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
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OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
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Derivative works are acceptable, even for commercial purposes, so long as
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(1) the source code for the derivative work includes prominent notice that
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the work is derivative, and (2) the source code includes prominent notice with
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these four paragraphs for those parts of this code that are retained.
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=============================================================================*/
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#ifndef SOFTFLOAT_H
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#define SOFTFLOAT_H
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#if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
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#include <sunmath.h>
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#endif
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#include <inttypes.h>
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#include "config.h"
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/*----------------------------------------------------------------------------
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| Each of the following `typedef's defines the most convenient type that holds
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| integers of at least as many bits as specified. For example, `uint8' should
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| be the most convenient type that can hold unsigned integers of as many as
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| 8 bits. The `flag' type must be able to hold either a 0 or 1. For most
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| implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
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| to the same as `int'.
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*----------------------------------------------------------------------------*/
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typedef uint8_t flag;
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typedef uint8_t uint8;
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typedef int8_t int8;
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#ifndef _AIX
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typedef int uint16;
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typedef int int16;
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#endif
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typedef unsigned int uint32;
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typedef signed int int32;
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typedef uint64_t uint64;
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typedef int64_t int64;
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/*----------------------------------------------------------------------------
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| Each of the following `typedef's defines a type that holds integers
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| of _exactly_ the number of bits specified. For instance, for most
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| implementation of C, `bits16' and `sbits16' should be `typedef'ed to
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| `unsigned short int' and `signed short int' (or `short int'), respectively.
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*----------------------------------------------------------------------------*/
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typedef uint8_t bits8;
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typedef int8_t sbits8;
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typedef uint16_t bits16;
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typedef int16_t sbits16;
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typedef uint32_t bits32;
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typedef int32_t sbits32;
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typedef uint64_t bits64;
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typedef int64_t sbits64;
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#define LIT64( a ) a##LL
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#define INLINE static inline
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/*----------------------------------------------------------------------------
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| The macro `FLOATX80' must be defined to enable the extended double-precision
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| floating-point format `floatx80'. If this macro is not defined, the
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| `floatx80' type will not be defined, and none of the functions that either
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| input or output the `floatx80' type will be defined. The same applies to
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| the `FLOAT128' macro and the quadruple-precision format `float128'.
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*----------------------------------------------------------------------------*/
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#ifdef CONFIG_SOFTFLOAT
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/* bit exact soft float support */
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#define FLOATX80
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#define FLOAT128
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#else
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/* native float support */
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#if (defined(__i386__) || defined(__x86_64__)) && !defined(CONFIG_BSD)
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#define FLOATX80
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#endif
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#endif /* !CONFIG_SOFTFLOAT */
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#define STATUS_PARAM , float_status *status
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#define STATUS(field) status->field
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#define STATUS_VAR , status
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point ordering relations
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*----------------------------------------------------------------------------*/
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enum {
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float_relation_less = -1,
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float_relation_equal = 0,
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float_relation_greater = 1,
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float_relation_unordered = 2
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};
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#ifdef CONFIG_SOFTFLOAT
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point types.
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*----------------------------------------------------------------------------*/
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/* Use structures for soft-float types. This prevents accidentally mixing
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them with native int/float types. A sufficiently clever compiler and
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sane ABI should be able to see though these structs. However
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x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */
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//#define USE_SOFTFLOAT_STRUCT_TYPES
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#ifdef USE_SOFTFLOAT_STRUCT_TYPES
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typedef struct {
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uint32_t v;
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} float32;
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/* The cast ensures an error if the wrong type is passed. */
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#define float32_val(x) (((float32)(x)).v)
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#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
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typedef struct {
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uint64_t v;
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} float64;
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#define float64_val(x) (((float64)(x)).v)
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#define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
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#else
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typedef uint32_t float32;
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typedef uint64_t float64;
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#define float32_val(x) (x)
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#define float64_val(x) (x)
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#define make_float32(x) (x)
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#define make_float64(x) (x)
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#endif
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#ifdef FLOATX80
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typedef struct {
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uint64_t low;
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uint16_t high;
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} floatx80;
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#endif
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#ifdef FLOAT128
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typedef struct {
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#ifdef HOST_WORDS_BIGENDIAN
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uint64_t high, low;
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#else
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uint64_t low, high;
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#endif
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} float128;
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point underflow tininess-detection mode.
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*----------------------------------------------------------------------------*/
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enum {
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float_tininess_after_rounding = 0,
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float_tininess_before_rounding = 1
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};
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point rounding mode.
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*----------------------------------------------------------------------------*/
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enum {
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float_round_nearest_even = 0,
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float_round_down = 1,
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float_round_up = 2,
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float_round_to_zero = 3
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};
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE floating-point exception flags.
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*----------------------------------------------------------------------------*/
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enum {
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float_flag_invalid = 1,
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float_flag_divbyzero = 4,
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float_flag_overflow = 8,
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float_flag_underflow = 16,
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float_flag_inexact = 32
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};
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typedef struct float_status {
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signed char float_detect_tininess;
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signed char float_rounding_mode;
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signed char float_exception_flags;
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#ifdef FLOATX80
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signed char floatx80_rounding_precision;
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#endif
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flag flush_to_zero;
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flag default_nan_mode;
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} float_status;
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void set_float_rounding_mode(int val STATUS_PARAM);
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void set_float_exception_flags(int val STATUS_PARAM);
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INLINE void set_flush_to_zero(flag val STATUS_PARAM)
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{
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STATUS(flush_to_zero) = val;
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}
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INLINE void set_default_nan_mode(flag val STATUS_PARAM)
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{
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STATUS(default_nan_mode) = val;
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}
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INLINE int get_float_exception_flags(float_status *status)
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{
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return STATUS(float_exception_flags);
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}
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#ifdef FLOATX80
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void set_floatx80_rounding_precision(int val STATUS_PARAM);
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#endif
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/*----------------------------------------------------------------------------
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| Routine to raise any or all of the software IEC/IEEE floating-point
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| exception flags.
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*----------------------------------------------------------------------------*/
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void float_raise( int8 flags STATUS_PARAM);
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE integer-to-floating-point conversion routines.
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*----------------------------------------------------------------------------*/
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float32 int32_to_float32( int STATUS_PARAM );
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float64 int32_to_float64( int STATUS_PARAM );
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float32 uint32_to_float32( unsigned int STATUS_PARAM );
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float64 uint32_to_float64( unsigned int STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 int32_to_floatx80( int STATUS_PARAM );
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#endif
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#ifdef FLOAT128
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float128 int32_to_float128( int STATUS_PARAM );
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#endif
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float32 int64_to_float32( int64_t STATUS_PARAM );
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float32 uint64_to_float32( uint64_t STATUS_PARAM );
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float64 int64_to_float64( int64_t STATUS_PARAM );
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float64 uint64_to_float64( uint64_t STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
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#endif
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#ifdef FLOAT128
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float128 int64_to_float128( int64_t STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software half-precision conversion routines.
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*----------------------------------------------------------------------------*/
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bits16 float32_to_float16( float32, flag STATUS_PARAM );
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float32 float16_to_float32( bits16, flag STATUS_PARAM );
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE single-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int float32_to_int32( float32 STATUS_PARAM );
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int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
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unsigned int float32_to_uint32( float32 STATUS_PARAM );
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unsigned int float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
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int64_t float32_to_int64( float32 STATUS_PARAM );
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int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
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float64 float32_to_float64( float32 STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 float32_to_floatx80( float32 STATUS_PARAM );
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#endif
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#ifdef FLOAT128
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float128 float32_to_float128( float32 STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE single-precision operations.
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*----------------------------------------------------------------------------*/
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float32 float32_round_to_int( float32 STATUS_PARAM );
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float32 float32_add( float32, float32 STATUS_PARAM );
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float32 float32_sub( float32, float32 STATUS_PARAM );
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float32 float32_mul( float32, float32 STATUS_PARAM );
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float32 float32_div( float32, float32 STATUS_PARAM );
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float32 float32_rem( float32, float32 STATUS_PARAM );
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float32 float32_sqrt( float32 STATUS_PARAM );
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float32 float32_exp2( float32 STATUS_PARAM );
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float32 float32_log2( float32 STATUS_PARAM );
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int float32_eq( float32, float32 STATUS_PARAM );
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int float32_le( float32, float32 STATUS_PARAM );
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int float32_lt( float32, float32 STATUS_PARAM );
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int float32_eq_signaling( float32, float32 STATUS_PARAM );
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int float32_le_quiet( float32, float32 STATUS_PARAM );
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int float32_lt_quiet( float32, float32 STATUS_PARAM );
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int float32_compare( float32, float32 STATUS_PARAM );
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int float32_compare_quiet( float32, float32 STATUS_PARAM );
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int float32_is_nan( float32 );
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int float32_is_signaling_nan( float32 );
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float32 float32_scalbn( float32, int STATUS_PARAM );
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INLINE float32 float32_abs(float32 a)
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{
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return make_float32(float32_val(a) & 0x7fffffff);
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}
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INLINE float32 float32_chs(float32 a)
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{
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return make_float32(float32_val(a) ^ 0x80000000);
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}
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INLINE int float32_is_infinity(float32 a)
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{
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return (float32_val(a) & 0x7fffffff) == 0x7f800000;
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}
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INLINE int float32_is_neg(float32 a)
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{
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return float32_val(a) >> 31;
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}
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INLINE int float32_is_zero(float32 a)
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{
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return (float32_val(a) & 0x7fffffff) == 0;
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}
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#define float32_zero make_float32(0)
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#define float32_one make_float32(0x3f800000)
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#define float32_ln2 make_float32(0x3f317218)
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE double-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int float64_to_int32( float64 STATUS_PARAM );
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int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
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unsigned int float64_to_uint32( float64 STATUS_PARAM );
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unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
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int64_t float64_to_int64( float64 STATUS_PARAM );
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int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
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uint64_t float64_to_uint64 (float64 a STATUS_PARAM);
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uint64_t float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
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float32 float64_to_float32( float64 STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 float64_to_floatx80( float64 STATUS_PARAM );
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#endif
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#ifdef FLOAT128
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float128 float64_to_float128( float64 STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE double-precision operations.
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*----------------------------------------------------------------------------*/
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float64 float64_round_to_int( float64 STATUS_PARAM );
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float64 float64_trunc_to_int( float64 STATUS_PARAM );
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float64 float64_add( float64, float64 STATUS_PARAM );
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float64 float64_sub( float64, float64 STATUS_PARAM );
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float64 float64_mul( float64, float64 STATUS_PARAM );
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float64 float64_div( float64, float64 STATUS_PARAM );
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float64 float64_rem( float64, float64 STATUS_PARAM );
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float64 float64_sqrt( float64 STATUS_PARAM );
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float64 float64_log2( float64 STATUS_PARAM );
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int float64_eq( float64, float64 STATUS_PARAM );
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int float64_le( float64, float64 STATUS_PARAM );
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int float64_lt( float64, float64 STATUS_PARAM );
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int float64_eq_signaling( float64, float64 STATUS_PARAM );
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int float64_le_quiet( float64, float64 STATUS_PARAM );
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int float64_lt_quiet( float64, float64 STATUS_PARAM );
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int float64_compare( float64, float64 STATUS_PARAM );
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int float64_compare_quiet( float64, float64 STATUS_PARAM );
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int float64_is_nan( float64 a );
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int float64_is_signaling_nan( float64 );
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float64 float64_scalbn( float64, int STATUS_PARAM );
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INLINE float64 float64_abs(float64 a)
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{
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return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
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}
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INLINE float64 float64_chs(float64 a)
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{
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return make_float64(float64_val(a) ^ 0x8000000000000000LL);
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}
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INLINE int float64_is_infinity(float64 a)
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{
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return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
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}
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INLINE int float64_is_neg(float64 a)
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{
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return float64_val(a) >> 63;
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}
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INLINE int float64_is_zero(float64 a)
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{
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return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
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}
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#define float64_zero make_float64(0)
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#define float64_one make_float64(0x3ff0000000000000LL)
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#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
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#ifdef FLOATX80
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE extended double-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int floatx80_to_int32( floatx80 STATUS_PARAM );
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int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
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int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
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int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
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float32 floatx80_to_float32( floatx80 STATUS_PARAM );
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float64 floatx80_to_float64( floatx80 STATUS_PARAM );
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#ifdef FLOAT128
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float128 floatx80_to_float128( floatx80 STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE extended double-precision operations.
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*----------------------------------------------------------------------------*/
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floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
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floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
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floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
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floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
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floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
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floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
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floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
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int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
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int floatx80_le( floatx80, floatx80 STATUS_PARAM );
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int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
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int floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
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int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
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int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
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int floatx80_is_nan( floatx80 );
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int floatx80_is_signaling_nan( floatx80 );
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floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
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INLINE floatx80 floatx80_abs(floatx80 a)
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{
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a.high &= 0x7fff;
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return a;
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}
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INLINE floatx80 floatx80_chs(floatx80 a)
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{
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a.high ^= 0x8000;
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return a;
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}
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INLINE int floatx80_is_infinity(floatx80 a)
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{
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return (a.high & 0x7fff) == 0x7fff && a.low == 0;
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}
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INLINE int floatx80_is_neg(floatx80 a)
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{
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return a.high >> 15;
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}
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INLINE int floatx80_is_zero(floatx80 a)
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{
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return (a.high & 0x7fff) == 0 && a.low == 0;
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}
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#endif
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#ifdef FLOAT128
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE quadruple-precision conversion routines.
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*----------------------------------------------------------------------------*/
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int float128_to_int32( float128 STATUS_PARAM );
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int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
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int64_t float128_to_int64( float128 STATUS_PARAM );
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int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
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float32 float128_to_float32( float128 STATUS_PARAM );
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float64 float128_to_float64( float128 STATUS_PARAM );
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#ifdef FLOATX80
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floatx80 float128_to_floatx80( float128 STATUS_PARAM );
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#endif
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/*----------------------------------------------------------------------------
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| Software IEC/IEEE quadruple-precision operations.
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*----------------------------------------------------------------------------*/
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float128 float128_round_to_int( float128 STATUS_PARAM );
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float128 float128_add( float128, float128 STATUS_PARAM );
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float128 float128_sub( float128, float128 STATUS_PARAM );
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float128 float128_mul( float128, float128 STATUS_PARAM );
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float128 float128_div( float128, float128 STATUS_PARAM );
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float128 float128_rem( float128, float128 STATUS_PARAM );
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float128 float128_sqrt( float128 STATUS_PARAM );
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int float128_eq( float128, float128 STATUS_PARAM );
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int float128_le( float128, float128 STATUS_PARAM );
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int float128_lt( float128, float128 STATUS_PARAM );
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int float128_eq_signaling( float128, float128 STATUS_PARAM );
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int float128_le_quiet( float128, float128 STATUS_PARAM );
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int float128_lt_quiet( float128, float128 STATUS_PARAM );
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int float128_compare( float128, float128 STATUS_PARAM );
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int float128_compare_quiet( float128, float128 STATUS_PARAM );
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int float128_is_nan( float128 );
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int float128_is_signaling_nan( float128 );
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float128 float128_scalbn( float128, int STATUS_PARAM );
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INLINE float128 float128_abs(float128 a)
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{
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a.high &= 0x7fffffffffffffffLL;
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return a;
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}
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INLINE float128 float128_chs(float128 a)
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{
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a.high ^= 0x8000000000000000LL;
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return a;
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}
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INLINE int float128_is_infinity(float128 a)
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{
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return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
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}
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INLINE int float128_is_neg(float128 a)
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{
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return a.high >> 63;
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}
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INLINE int float128_is_zero(float128 a)
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{
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return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
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}
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#endif
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#else /* CONFIG_SOFTFLOAT */
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#include "softfloat-native.h"
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#endif /* !CONFIG_SOFTFLOAT */
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#endif /* !SOFTFLOAT_H */
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