18c2ecf20Sopenharmony_ci
28c2ecf20Sopenharmony_ci/*
38c2ecf20Sopenharmony_ci===============================================================================
48c2ecf20Sopenharmony_ci
58c2ecf20Sopenharmony_ciThis C header file is part of the SoftFloat IEC/IEEE Floating-point
68c2ecf20Sopenharmony_ciArithmetic Package, Release 2.
78c2ecf20Sopenharmony_ci
88c2ecf20Sopenharmony_ciWritten by John R. Hauser.  This work was made possible in part by the
98c2ecf20Sopenharmony_ciInternational Computer Science Institute, located at Suite 600, 1947 Center
108c2ecf20Sopenharmony_ciStreet, Berkeley, California 94704.  Funding was partially provided by the
118c2ecf20Sopenharmony_ciNational Science Foundation under grant MIP-9311980.  The original version
128c2ecf20Sopenharmony_ciof this code was written as part of a project to build a fixed-point vector
138c2ecf20Sopenharmony_ciprocessor in collaboration with the University of California at Berkeley,
148c2ecf20Sopenharmony_cioverseen by Profs. Nelson Morgan and John Wawrzynek.  More information
158c2ecf20Sopenharmony_ciis available through the Web page
168c2ecf20Sopenharmony_cihttp://www.jhauser.us/arithmetic/SoftFloat-2b/SoftFloat-source.txt
178c2ecf20Sopenharmony_ci
188c2ecf20Sopenharmony_ciTHIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
198c2ecf20Sopenharmony_cihas been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
208c2ecf20Sopenharmony_ciTIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
218c2ecf20Sopenharmony_ciPERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
228c2ecf20Sopenharmony_ciAND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
238c2ecf20Sopenharmony_ci
248c2ecf20Sopenharmony_ciDerivative works are acceptable, even for commercial purposes, so long as
258c2ecf20Sopenharmony_ci(1) they include prominent notice that the work is derivative, and (2) they
268c2ecf20Sopenharmony_ciinclude prominent notice akin to these three paragraphs for those parts of
278c2ecf20Sopenharmony_cithis code that are retained.
288c2ecf20Sopenharmony_ci
298c2ecf20Sopenharmony_ci===============================================================================
308c2ecf20Sopenharmony_ci*/
318c2ecf20Sopenharmony_ci
328c2ecf20Sopenharmony_ci#ifndef __SOFTFLOAT_H__
338c2ecf20Sopenharmony_ci#define __SOFTFLOAT_H__
348c2ecf20Sopenharmony_ci
358c2ecf20Sopenharmony_ci
368c2ecf20Sopenharmony_ci/*
378c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
388c2ecf20Sopenharmony_ciThe macro `FLOATX80' must be defined to enable the extended double-precision
398c2ecf20Sopenharmony_cifloating-point format `floatx80'.  If this macro is not defined, the
408c2ecf20Sopenharmony_ci`floatx80' type will not be defined, and none of the functions that either
418c2ecf20Sopenharmony_ciinput or output the `floatx80' type will be defined.
428c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
438c2ecf20Sopenharmony_ci*/
448c2ecf20Sopenharmony_ci#ifdef CONFIG_FPE_NWFPE_XP
458c2ecf20Sopenharmony_ci#define FLOATX80
468c2ecf20Sopenharmony_ci#endif
478c2ecf20Sopenharmony_ci
488c2ecf20Sopenharmony_ci/*
498c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
508c2ecf20Sopenharmony_ciSoftware IEC/IEEE floating-point types.
518c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
528c2ecf20Sopenharmony_ci*/
538c2ecf20Sopenharmony_citypedef u32 float32;
548c2ecf20Sopenharmony_citypedef u64 float64;
558c2ecf20Sopenharmony_citypedef struct {
568c2ecf20Sopenharmony_ci#ifdef __ARMEB__
578c2ecf20Sopenharmony_ci    u16 __padding;
588c2ecf20Sopenharmony_ci    u16 high;
598c2ecf20Sopenharmony_ci#else
608c2ecf20Sopenharmony_ci    u16 high;
618c2ecf20Sopenharmony_ci    u16 __padding;
628c2ecf20Sopenharmony_ci#endif
638c2ecf20Sopenharmony_ci    u64 low;
648c2ecf20Sopenharmony_ci}  __attribute__ ((packed,aligned(4))) floatx80;
658c2ecf20Sopenharmony_ci
668c2ecf20Sopenharmony_ci/*
678c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
688c2ecf20Sopenharmony_ciSoftware IEC/IEEE floating-point underflow tininess-detection mode.
698c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
708c2ecf20Sopenharmony_ci*/
718c2ecf20Sopenharmony_ciextern signed char float_detect_tininess;
728c2ecf20Sopenharmony_cienum {
738c2ecf20Sopenharmony_ci    float_tininess_after_rounding  = 0,
748c2ecf20Sopenharmony_ci    float_tininess_before_rounding = 1
758c2ecf20Sopenharmony_ci};
768c2ecf20Sopenharmony_ci
778c2ecf20Sopenharmony_ci/*
788c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
798c2ecf20Sopenharmony_ciSoftware IEC/IEEE floating-point rounding mode.
808c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
818c2ecf20Sopenharmony_ci*/
828c2ecf20Sopenharmony_ci//extern int8 float_rounding_mode;
838c2ecf20Sopenharmony_cienum {
848c2ecf20Sopenharmony_ci    float_round_nearest_even = 0,
858c2ecf20Sopenharmony_ci    float_round_to_zero      = 1,
868c2ecf20Sopenharmony_ci    float_round_down         = 2,
878c2ecf20Sopenharmony_ci    float_round_up           = 3
888c2ecf20Sopenharmony_ci};
898c2ecf20Sopenharmony_ci
908c2ecf20Sopenharmony_ci/*
918c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
928c2ecf20Sopenharmony_ciSoftware IEC/IEEE floating-point exception flags.
938c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
948c2ecf20Sopenharmony_cienum {
958c2ecf20Sopenharmony_ci    float_flag_inexact   =  1,
968c2ecf20Sopenharmony_ci    float_flag_underflow =  2,
978c2ecf20Sopenharmony_ci    float_flag_overflow  =  4,
988c2ecf20Sopenharmony_ci    float_flag_divbyzero =  8,
998c2ecf20Sopenharmony_ci    float_flag_invalid   = 16
1008c2ecf20Sopenharmony_ci};
1018c2ecf20Sopenharmony_ci
1028c2ecf20Sopenharmony_ciScottB: November 4, 1998
1038c2ecf20Sopenharmony_ciChanged the enumeration to match the bit order in the FPA11.
1048c2ecf20Sopenharmony_ci*/
1058c2ecf20Sopenharmony_ci
1068c2ecf20Sopenharmony_cienum {
1078c2ecf20Sopenharmony_ci    float_flag_invalid   =  1,
1088c2ecf20Sopenharmony_ci    float_flag_divbyzero =  2,
1098c2ecf20Sopenharmony_ci    float_flag_overflow  =  4,
1108c2ecf20Sopenharmony_ci    float_flag_underflow =  8,
1118c2ecf20Sopenharmony_ci    float_flag_inexact   = 16
1128c2ecf20Sopenharmony_ci};
1138c2ecf20Sopenharmony_ci
1148c2ecf20Sopenharmony_ci/*
1158c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1168c2ecf20Sopenharmony_ciRoutine to raise any or all of the software IEC/IEEE floating-point
1178c2ecf20Sopenharmony_ciexception flags.
1188c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1198c2ecf20Sopenharmony_ci*/
1208c2ecf20Sopenharmony_civoid float_raise( signed char );
1218c2ecf20Sopenharmony_ci
1228c2ecf20Sopenharmony_ci/*
1238c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1248c2ecf20Sopenharmony_ciSoftware IEC/IEEE integer-to-floating-point conversion routines.
1258c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1268c2ecf20Sopenharmony_ci*/
1278c2ecf20Sopenharmony_cifloat32 int32_to_float32( struct roundingData *, signed int );
1288c2ecf20Sopenharmony_cifloat64 int32_to_float64( signed int );
1298c2ecf20Sopenharmony_ci#ifdef FLOATX80
1308c2ecf20Sopenharmony_cifloatx80 int32_to_floatx80( signed int );
1318c2ecf20Sopenharmony_ci#endif
1328c2ecf20Sopenharmony_ci
1338c2ecf20Sopenharmony_ci/*
1348c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1358c2ecf20Sopenharmony_ciSoftware IEC/IEEE single-precision conversion routines.
1368c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1378c2ecf20Sopenharmony_ci*/
1388c2ecf20Sopenharmony_cisigned int float32_to_int32( struct roundingData *, float32 );
1398c2ecf20Sopenharmony_cisigned int float32_to_int32_round_to_zero( float32 );
1408c2ecf20Sopenharmony_cifloat64 float32_to_float64( float32 );
1418c2ecf20Sopenharmony_ci#ifdef FLOATX80
1428c2ecf20Sopenharmony_cifloatx80 float32_to_floatx80( float32 );
1438c2ecf20Sopenharmony_ci#endif
1448c2ecf20Sopenharmony_ci
1458c2ecf20Sopenharmony_ci/*
1468c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1478c2ecf20Sopenharmony_ciSoftware IEC/IEEE single-precision operations.
1488c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1498c2ecf20Sopenharmony_ci*/
1508c2ecf20Sopenharmony_cifloat32 float32_round_to_int( struct roundingData*, float32 );
1518c2ecf20Sopenharmony_cifloat32 float32_add( struct roundingData *, float32, float32 );
1528c2ecf20Sopenharmony_cifloat32 float32_sub( struct roundingData *, float32, float32 );
1538c2ecf20Sopenharmony_cifloat32 float32_mul( struct roundingData *, float32, float32 );
1548c2ecf20Sopenharmony_cifloat32 float32_div( struct roundingData *, float32, float32 );
1558c2ecf20Sopenharmony_cifloat32 float32_rem( struct roundingData *, float32, float32 );
1568c2ecf20Sopenharmony_cifloat32 float32_sqrt( struct roundingData*, float32 );
1578c2ecf20Sopenharmony_cichar float32_eq( float32, float32 );
1588c2ecf20Sopenharmony_cichar float32_le( float32, float32 );
1598c2ecf20Sopenharmony_cichar float32_lt( float32, float32 );
1608c2ecf20Sopenharmony_cichar float32_eq_signaling( float32, float32 );
1618c2ecf20Sopenharmony_cichar float32_le_quiet( float32, float32 );
1628c2ecf20Sopenharmony_cichar float32_lt_quiet( float32, float32 );
1638c2ecf20Sopenharmony_cichar float32_is_signaling_nan( float32 );
1648c2ecf20Sopenharmony_ci
1658c2ecf20Sopenharmony_ci/*
1668c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1678c2ecf20Sopenharmony_ciSoftware IEC/IEEE double-precision conversion routines.
1688c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1698c2ecf20Sopenharmony_ci*/
1708c2ecf20Sopenharmony_cisigned int float64_to_int32( struct roundingData *, float64 );
1718c2ecf20Sopenharmony_cisigned int float64_to_int32_round_to_zero( float64 );
1728c2ecf20Sopenharmony_cifloat32 float64_to_float32( struct roundingData *, float64 );
1738c2ecf20Sopenharmony_ci#ifdef FLOATX80
1748c2ecf20Sopenharmony_cifloatx80 float64_to_floatx80( float64 );
1758c2ecf20Sopenharmony_ci#endif
1768c2ecf20Sopenharmony_ci
1778c2ecf20Sopenharmony_ci/*
1788c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1798c2ecf20Sopenharmony_ciSoftware IEC/IEEE double-precision operations.
1808c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
1818c2ecf20Sopenharmony_ci*/
1828c2ecf20Sopenharmony_cifloat64 float64_round_to_int( struct roundingData *, float64 );
1838c2ecf20Sopenharmony_cifloat64 float64_add( struct roundingData *, float64, float64 );
1848c2ecf20Sopenharmony_cifloat64 float64_sub( struct roundingData *, float64, float64 );
1858c2ecf20Sopenharmony_cifloat64 float64_mul( struct roundingData *, float64, float64 );
1868c2ecf20Sopenharmony_cifloat64 float64_div( struct roundingData *, float64, float64 );
1878c2ecf20Sopenharmony_cifloat64 float64_rem( struct roundingData *, float64, float64 );
1888c2ecf20Sopenharmony_cifloat64 float64_sqrt( struct roundingData *, float64 );
1898c2ecf20Sopenharmony_cichar float64_eq( float64, float64 );
1908c2ecf20Sopenharmony_cichar float64_le( float64, float64 );
1918c2ecf20Sopenharmony_cichar float64_lt( float64, float64 );
1928c2ecf20Sopenharmony_cichar float64_eq_signaling( float64, float64 );
1938c2ecf20Sopenharmony_cichar float64_le_quiet( float64, float64 );
1948c2ecf20Sopenharmony_cichar float64_lt_quiet( float64, float64 );
1958c2ecf20Sopenharmony_cichar float64_is_signaling_nan( float64 );
1968c2ecf20Sopenharmony_ci
1978c2ecf20Sopenharmony_ci#ifdef FLOATX80
1988c2ecf20Sopenharmony_ci
1998c2ecf20Sopenharmony_ci/*
2008c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
2018c2ecf20Sopenharmony_ciSoftware IEC/IEEE extended double-precision conversion routines.
2028c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
2038c2ecf20Sopenharmony_ci*/
2048c2ecf20Sopenharmony_cisigned int floatx80_to_int32( struct roundingData *, floatx80 );
2058c2ecf20Sopenharmony_cisigned int floatx80_to_int32_round_to_zero( floatx80 );
2068c2ecf20Sopenharmony_cifloat32 floatx80_to_float32( struct roundingData *, floatx80 );
2078c2ecf20Sopenharmony_cifloat64 floatx80_to_float64( struct roundingData *, floatx80 );
2088c2ecf20Sopenharmony_ci
2098c2ecf20Sopenharmony_ci/*
2108c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
2118c2ecf20Sopenharmony_ciSoftware IEC/IEEE extended double-precision operations.
2128c2ecf20Sopenharmony_ci-------------------------------------------------------------------------------
2138c2ecf20Sopenharmony_ci*/
2148c2ecf20Sopenharmony_cifloatx80 floatx80_round_to_int( struct roundingData *, floatx80 );
2158c2ecf20Sopenharmony_cifloatx80 floatx80_add( struct roundingData *, floatx80, floatx80 );
2168c2ecf20Sopenharmony_cifloatx80 floatx80_sub( struct roundingData *, floatx80, floatx80 );
2178c2ecf20Sopenharmony_cifloatx80 floatx80_mul( struct roundingData *, floatx80, floatx80 );
2188c2ecf20Sopenharmony_cifloatx80 floatx80_div( struct roundingData *, floatx80, floatx80 );
2198c2ecf20Sopenharmony_cifloatx80 floatx80_rem( struct roundingData *, floatx80, floatx80 );
2208c2ecf20Sopenharmony_cifloatx80 floatx80_sqrt( struct roundingData *, floatx80 );
2218c2ecf20Sopenharmony_cichar floatx80_eq( floatx80, floatx80 );
2228c2ecf20Sopenharmony_cichar floatx80_le( floatx80, floatx80 );
2238c2ecf20Sopenharmony_cichar floatx80_lt( floatx80, floatx80 );
2248c2ecf20Sopenharmony_cichar floatx80_eq_signaling( floatx80, floatx80 );
2258c2ecf20Sopenharmony_cichar floatx80_le_quiet( floatx80, floatx80 );
2268c2ecf20Sopenharmony_cichar floatx80_lt_quiet( floatx80, floatx80 );
2278c2ecf20Sopenharmony_cichar floatx80_is_signaling_nan( floatx80 );
2288c2ecf20Sopenharmony_ci
2298c2ecf20Sopenharmony_ciextern flag floatx80_is_nan(floatx80);
2308c2ecf20Sopenharmony_ci
2318c2ecf20Sopenharmony_ci#endif
2328c2ecf20Sopenharmony_ci
2338c2ecf20Sopenharmony_cistatic inline flag extractFloat32Sign(float32 a)
2348c2ecf20Sopenharmony_ci{
2358c2ecf20Sopenharmony_ci	return a >> 31;
2368c2ecf20Sopenharmony_ci}
2378c2ecf20Sopenharmony_ci
2388c2ecf20Sopenharmony_cistatic inline flag float32_eq_nocheck(float32 a, float32 b)
2398c2ecf20Sopenharmony_ci{
2408c2ecf20Sopenharmony_ci	return (a == b) || ((bits32) ((a | b) << 1) == 0);
2418c2ecf20Sopenharmony_ci}
2428c2ecf20Sopenharmony_ci
2438c2ecf20Sopenharmony_cistatic inline flag float32_lt_nocheck(float32 a, float32 b)
2448c2ecf20Sopenharmony_ci{
2458c2ecf20Sopenharmony_ci	flag aSign, bSign;
2468c2ecf20Sopenharmony_ci
2478c2ecf20Sopenharmony_ci	aSign = extractFloat32Sign(a);
2488c2ecf20Sopenharmony_ci	bSign = extractFloat32Sign(b);
2498c2ecf20Sopenharmony_ci	if (aSign != bSign)
2508c2ecf20Sopenharmony_ci		return aSign && ((bits32) ((a | b) << 1) != 0);
2518c2ecf20Sopenharmony_ci	return (a != b) && (aSign ^ (a < b));
2528c2ecf20Sopenharmony_ci}
2538c2ecf20Sopenharmony_ci
2548c2ecf20Sopenharmony_cistatic inline flag extractFloat64Sign(float64 a)
2558c2ecf20Sopenharmony_ci{
2568c2ecf20Sopenharmony_ci	return a >> 63;
2578c2ecf20Sopenharmony_ci}
2588c2ecf20Sopenharmony_ci
2598c2ecf20Sopenharmony_cistatic inline flag float64_eq_nocheck(float64 a, float64 b)
2608c2ecf20Sopenharmony_ci{
2618c2ecf20Sopenharmony_ci	return (a == b) || ((bits64) ((a | b) << 1) == 0);
2628c2ecf20Sopenharmony_ci}
2638c2ecf20Sopenharmony_ci
2648c2ecf20Sopenharmony_cistatic inline flag float64_lt_nocheck(float64 a, float64 b)
2658c2ecf20Sopenharmony_ci{
2668c2ecf20Sopenharmony_ci	flag aSign, bSign;
2678c2ecf20Sopenharmony_ci
2688c2ecf20Sopenharmony_ci	aSign = extractFloat64Sign(a);
2698c2ecf20Sopenharmony_ci	bSign = extractFloat64Sign(b);
2708c2ecf20Sopenharmony_ci	if (aSign != bSign)
2718c2ecf20Sopenharmony_ci		return aSign && ((bits64) ((a | b) << 1) != 0);
2728c2ecf20Sopenharmony_ci	return (a != b) && (aSign ^ (a < b));
2738c2ecf20Sopenharmony_ci}
2748c2ecf20Sopenharmony_ci
2758c2ecf20Sopenharmony_ciextern flag float32_is_nan( float32 a );
2768c2ecf20Sopenharmony_ciextern flag float64_is_nan( float64 a );
2778c2ecf20Sopenharmony_ci
2788c2ecf20Sopenharmony_ciextern int32 float64_to_uint32( struct roundingData *roundData, float64 a );
2798c2ecf20Sopenharmony_ciextern int32 float64_to_uint32_round_to_zero( float64 a );
2808c2ecf20Sopenharmony_ci
2818c2ecf20Sopenharmony_ci#endif
282