|
|
/*============================================================================
|
/*============================================================================
|
|
|
This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
|
This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
|
Package, Release 2b.
|
Package, Release 2b.
|
|
|
Written by John R. Hauser. This work was made possible in part by the
|
Written by John R. Hauser. This work was made possible in part by the
|
International Computer Science Institute, located at Suite 600, 1947 Center
|
International Computer Science Institute, located at Suite 600, 1947 Center
|
Street, Berkeley, California 94704. Funding was partially provided by the
|
Street, Berkeley, California 94704. Funding was partially provided by the
|
National Science Foundation under grant MIP-9311980. The original version
|
National Science Foundation under grant MIP-9311980. The original version
|
of this code was written as part of a project to build a fixed-point vector
|
of this code was written as part of a project to build a fixed-point vector
|
processor in collaboration with the University of California at Berkeley,
|
processor in collaboration with the University of California at Berkeley,
|
overseen by Profs. Nelson Morgan and John Wawrzynek. More information
|
overseen by Profs. Nelson Morgan and John Wawrzynek. More information
|
is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
|
is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
|
arithmetic/SoftFloat.html'.
|
arithmetic/SoftFloat.html'.
|
|
|
THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
|
THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
|
been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
|
been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
|
RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
|
RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
|
AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
|
AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
|
COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
|
COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
|
EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
|
EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
|
INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
|
INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
|
OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
|
OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
|
|
|
Derivative works are acceptable, even for commercial purposes, so long as
|
Derivative works are acceptable, even for commercial purposes, so long as
|
(1) the source code for the derivative work includes prominent notice that
|
(1) the source code for the derivative work includes prominent notice that
|
the work is derivative, and (2) the source code includes prominent notice with
|
the work is derivative, and (2) the source code includes prominent notice with
|
these four paragraphs for those parts of this code that are retained.
|
these four paragraphs for those parts of this code that are retained.
|
|
|
=============================================================================*/
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=============================================================================*/
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|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| The macro `FLOATX80' must be defined to enable the extended double-precision
|
| The macro `FLOATX80' must be defined to enable the extended double-precision
|
| floating-point format `floatx80'. If this macro is not defined, the
|
| floating-point format `floatx80'. If this macro is not defined, the
|
| `floatx80' type will not be defined, and none of the functions that either
|
| `floatx80' type will not be defined, and none of the functions that either
|
| input or output the `floatx80' type will be defined. The same applies to
|
| input or output the `floatx80' type will be defined. The same applies to
|
| the `FLOAT128' macro and the quadruple-precision format `float128'.
|
| the `FLOAT128' macro and the quadruple-precision format `float128'.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
// OR1K's floating point currently only needs to simulate 32-bit floating point
|
// OR1K's floating point currently only needs to simulate 32-bit floating point
|
// ops, so even the 64-bit stuff is overkill, but could be handy in future...
|
// ops, so even the 64-bit stuff is overkill, but could be handy in future...
|
//#define FLOATX80
|
//#define FLOATX80
|
//#define FLOAT128
|
//#define FLOAT128
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE floating-point types.
|
| Software IEC/IEEE floating-point types.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
typedef unsigned int float32;
|
typedef unsigned int float32;
|
typedef unsigned long long float64;
|
typedef unsigned long long float64;
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
typedef struct {
|
typedef struct {
|
unsigned long long low;
|
unsigned long long low;
|
unsigned short high;
|
unsigned short high;
|
} floatx80;
|
} floatx80;
|
#endif
|
#endif
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
typedef struct {
|
typedef struct {
|
unsigned long long low, high;
|
unsigned long long low, high;
|
} float128;
|
} float128;
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE floating-point underflow tininess-detection mode.
|
| Software IEC/IEEE floating-point underflow tininess-detection mode.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
extern signed char float_detect_tininess;
|
extern signed char float_detect_tininess;
|
enum {
|
enum {
|
float_tininess_after_rounding = 0,
|
float_tininess_after_rounding = 0,
|
float_tininess_before_rounding = 1
|
float_tininess_before_rounding = 1
|
};
|
};
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE floating-point rounding mode.
|
| Software IEC/IEEE floating-point rounding mode.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
extern signed char float_rounding_mode;
|
extern signed char float_rounding_mode;
|
enum {
|
enum {
|
float_round_nearest_even = 0,
|
float_round_nearest_even = 0,
|
float_round_down = 1,
|
float_round_down = 1,
|
float_round_up = 2,
|
float_round_up = 2,
|
float_round_to_zero = 3
|
float_round_to_zero = 3
|
};
|
};
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE floating-point exception flags.
|
| Software IEC/IEEE floating-point exception flags.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
extern signed char float_exception_flags;
|
extern signed char float_exception_flags;
|
enum {
|
enum {
|
float_flag_invalid = 1,
|
float_flag_invalid = 1,
|
float_flag_divbyzero = 4,
|
float_flag_divbyzero = 4,
|
float_flag_overflow = 8,
|
float_flag_overflow = 8,
|
float_flag_underflow = 16,
|
float_flag_underflow = 16,
|
float_flag_inexact = 32
|
float_flag_inexact = 32
|
};
|
};
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Routine to raise any or all of the software IEC/IEEE floating-point
|
| Routine to raise any or all of the software IEC/IEEE floating-point
|
| exception flags.
|
| exception flags.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
void float_raise( signed char );
|
void float_raise( signed char );
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE integer-to-floating-point conversion routines.
|
| Software IEC/IEEE integer-to-floating-point conversion routines.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
float32 int32_to_float32( int );
|
float32 int32_to_float32( int );
|
float64 int32_to_float64( int );
|
float64 int32_to_float64( int );
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
floatx80 int32_to_floatx80( int );
|
floatx80 int32_to_floatx80( int );
|
#endif
|
#endif
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
float128 int32_to_float128( int );
|
float128 int32_to_float128( int );
|
#endif
|
#endif
|
float32 int64_to_float32( long long );
|
float32 int64_to_float32( long long );
|
float64 int64_to_float64( long long );
|
float64 int64_to_float64( long long );
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
floatx80 int64_to_floatx80( long long );
|
floatx80 int64_to_floatx80( long long );
|
#endif
|
#endif
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
float128 int64_to_float128( long long );
|
float128 int64_to_float128( long long );
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE single-precision conversion routines.
|
| Software IEC/IEEE single-precision conversion routines.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
int float32_to_int32( float32 );
|
int float32_to_int32( float32 );
|
int float32_to_int32_round_to_zero( float32 );
|
int float32_to_int32_round_to_zero( float32 );
|
long long float32_to_int64( float32 );
|
long long float32_to_int64( float32 );
|
long long float32_to_int64_round_to_zero( float32 );
|
long long float32_to_int64_round_to_zero( float32 );
|
float64 float32_to_float64( float32 );
|
float64 float32_to_float64( float32 );
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
floatx80 float32_to_floatx80( float32 );
|
floatx80 float32_to_floatx80( float32 );
|
#endif
|
#endif
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
float128 float32_to_float128( float32 );
|
float128 float32_to_float128( float32 );
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE single-precision operations.
|
| Software IEC/IEEE single-precision operations.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
float32 float32_round_to_int( float32 );
|
float32 float32_round_to_int( float32 );
|
float32 float32_add( float32, float32 );
|
float32 float32_add( float32, float32 );
|
float32 float32_sub( float32, float32 );
|
float32 float32_sub( float32, float32 );
|
float32 float32_mul( float32, float32 );
|
float32 float32_mul( float32, float32 );
|
float32 float32_div( float32, float32 );
|
float32 float32_div( float32, float32 );
|
float32 float32_rem( float32, float32 );
|
float32 float32_rem( float32, float32 );
|
float32 float32_sqrt( float32 );
|
float32 float32_sqrt( float32 );
|
char float32_eq( float32, float32 );
|
char float32_eq( float32, float32 );
|
char float32_le( float32, float32 );
|
char float32_le( float32, float32 );
|
char float32_lt( float32, float32 );
|
char float32_lt( float32, float32 );
|
char float32_eq_signaling( float32, float32 );
|
char float32_eq_signaling( float32, float32 );
|
char float32_le_quiet( float32, float32 );
|
char float32_le_quiet( float32, float32 );
|
char float32_lt_quiet( float32, float32 );
|
char float32_lt_quiet( float32, float32 );
|
char float32_is_signaling_nan( float32 );
|
char float32_is_signaling_nan( float32 );
|
char float32_is_nan( float32 );
|
char float32_is_nan( float32 );
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE double-precision conversion routines.
|
| Software IEC/IEEE double-precision conversion routines.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
int float64_to_int32( float64 );
|
int float64_to_int32( float64 );
|
int float64_to_int32_round_to_zero( float64 );
|
int float64_to_int32_round_to_zero( float64 );
|
long long float64_to_int64( float64 );
|
long long float64_to_int64( float64 );
|
long long float64_to_int64_round_to_zero( float64 );
|
long long float64_to_int64_round_to_zero( float64 );
|
float32 float64_to_float32( float64 );
|
float32 float64_to_float32( float64 );
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
floatx80 float64_to_floatx80( float64 );
|
floatx80 float64_to_floatx80( float64 );
|
#endif
|
#endif
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
float128 float64_to_float128( float64 );
|
float128 float64_to_float128( float64 );
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE double-precision operations.
|
| Software IEC/IEEE double-precision operations.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
float64 float64_round_to_int( float64 );
|
float64 float64_round_to_int( float64 );
|
float64 float64_add( float64, float64 );
|
float64 float64_add( float64, float64 );
|
float64 float64_sub( float64, float64 );
|
float64 float64_sub( float64, float64 );
|
float64 float64_mul( float64, float64 );
|
float64 float64_mul( float64, float64 );
|
float64 float64_div( float64, float64 );
|
float64 float64_div( float64, float64 );
|
float64 float64_rem( float64, float64 );
|
float64 float64_rem( float64, float64 );
|
float64 float64_sqrt( float64 );
|
float64 float64_sqrt( float64 );
|
char float64_eq( float64, float64 );
|
char float64_eq( float64, float64 );
|
char float64_le( float64, float64 );
|
char float64_le( float64, float64 );
|
char float64_lt( float64, float64 );
|
char float64_lt( float64, float64 );
|
char float64_eq_signaling( float64, float64 );
|
char float64_eq_signaling( float64, float64 );
|
char float64_le_quiet( float64, float64 );
|
char float64_le_quiet( float64, float64 );
|
char float64_lt_quiet( float64, float64 );
|
char float64_lt_quiet( float64, float64 );
|
char float64_is_signaling_nan( float64 );
|
char float64_is_signaling_nan( float64 );
|
|
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE extended double-precision conversion routines.
|
| Software IEC/IEEE extended double-precision conversion routines.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
int floatx80_to_int32( floatx80 );
|
int floatx80_to_int32( floatx80 );
|
int floatx80_to_int32_round_to_zero( floatx80 );
|
int floatx80_to_int32_round_to_zero( floatx80 );
|
long long floatx80_to_int64( floatx80 );
|
long long floatx80_to_int64( floatx80 );
|
long long floatx80_to_int64_round_to_zero( floatx80 );
|
long long floatx80_to_int64_round_to_zero( floatx80 );
|
float32 floatx80_to_float32( floatx80 );
|
float32 floatx80_to_float32( floatx80 );
|
float64 floatx80_to_float64( floatx80 );
|
float64 floatx80_to_float64( floatx80 );
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
float128 floatx80_to_float128( floatx80 );
|
float128 floatx80_to_float128( floatx80 );
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE extended double-precision rounding precision. Valid
|
| Software IEC/IEEE extended double-precision rounding precision. Valid
|
| values are 32, 64, and 80.
|
| values are 32, 64, and 80.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
extern signed char floatx80_rounding_precision;
|
extern signed char floatx80_rounding_precision;
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE extended double-precision operations.
|
| Software IEC/IEEE extended double-precision operations.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
floatx80 floatx80_round_to_int( floatx80 );
|
floatx80 floatx80_round_to_int( floatx80 );
|
floatx80 floatx80_add( floatx80, floatx80 );
|
floatx80 floatx80_add( floatx80, floatx80 );
|
floatx80 floatx80_sub( floatx80, floatx80 );
|
floatx80 floatx80_sub( floatx80, floatx80 );
|
floatx80 floatx80_mul( floatx80, floatx80 );
|
floatx80 floatx80_mul( floatx80, floatx80 );
|
floatx80 floatx80_div( floatx80, floatx80 );
|
floatx80 floatx80_div( floatx80, floatx80 );
|
floatx80 floatx80_rem( floatx80, floatx80 );
|
floatx80 floatx80_rem( floatx80, floatx80 );
|
floatx80 floatx80_sqrt( floatx80 );
|
floatx80 floatx80_sqrt( floatx80 );
|
char floatx80_eq( floatx80, floatx80 );
|
char floatx80_eq( floatx80, floatx80 );
|
char floatx80_le( floatx80, floatx80 );
|
char floatx80_le( floatx80, floatx80 );
|
char floatx80_lt( floatx80, floatx80 );
|
char floatx80_lt( floatx80, floatx80 );
|
char floatx80_eq_signaling( floatx80, floatx80 );
|
char floatx80_eq_signaling( floatx80, floatx80 );
|
char floatx80_le_quiet( floatx80, floatx80 );
|
char floatx80_le_quiet( floatx80, floatx80 );
|
char floatx80_lt_quiet( floatx80, floatx80 );
|
char floatx80_lt_quiet( floatx80, floatx80 );
|
char floatx80_is_signaling_nan( floatx80 );
|
char floatx80_is_signaling_nan( floatx80 );
|
|
|
#endif
|
#endif
|
|
|
#ifdef FLOAT128
|
#ifdef FLOAT128
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE quadruple-precision conversion routines.
|
| Software IEC/IEEE quadruple-precision conversion routines.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
int float128_to_int32( float128 );
|
int float128_to_int32( float128 );
|
int float128_to_int32_round_to_zero( float128 );
|
int float128_to_int32_round_to_zero( float128 );
|
long long float128_to_int64( float128 );
|
long long float128_to_int64( float128 );
|
long long float128_to_int64_round_to_zero( float128 );
|
long long float128_to_int64_round_to_zero( float128 );
|
float32 float128_to_float32( float128 );
|
float32 float128_to_float32( float128 );
|
float64 float128_to_float64( float128 );
|
float64 float128_to_float64( float128 );
|
#ifdef FLOATX80
|
#ifdef FLOATX80
|
floatx80 float128_to_floatx80( float128 );
|
floatx80 float128_to_floatx80( float128 );
|
#endif
|
#endif
|
|
|
/*----------------------------------------------------------------------------
|
/*----------------------------------------------------------------------------
|
| Software IEC/IEEE quadruple-precision operations.
|
| Software IEC/IEEE quadruple-precision operations.
|
*----------------------------------------------------------------------------*/
|
*----------------------------------------------------------------------------*/
|
float128 float128_round_to_int( float128 );
|
float128 float128_round_to_int( float128 );
|
float128 float128_add( float128, float128 );
|
float128 float128_add( float128, float128 );
|
float128 float128_sub( float128, float128 );
|
float128 float128_sub( float128, float128 );
|
float128 float128_mul( float128, float128 );
|
float128 float128_mul( float128, float128 );
|
float128 float128_div( float128, float128 );
|
float128 float128_div( float128, float128 );
|
float128 float128_rem( float128, float128 );
|
float128 float128_rem( float128, float128 );
|
float128 float128_sqrt( float128 );
|
float128 float128_sqrt( float128 );
|
char float128_eq( float128, float128 );
|
char float128_eq( float128, float128 );
|
char float128_le( float128, float128 );
|
char float128_le( float128, float128 );
|
char float128_lt( float128, float128 );
|
char float128_lt( float128, float128 );
|
char float128_eq_signaling( float128, float128 );
|
char float128_eq_signaling( float128, float128 );
|
char float128_le_quiet( float128, float128 );
|
char float128_le_quiet( float128, float128 );
|
char float128_lt_quiet( float128, float128 );
|
char float128_lt_quiet( float128, float128 );
|
char float128_is_signaling_nan( float128 );
|
char float128_is_signaling_nan( float128 );
|
|
|
#endif
|
#endif
|
|
|
|
|
