162306a36Sopenharmony_ci 262306a36Sopenharmony_ci/* 362306a36Sopenharmony_ci=============================================================================== 462306a36Sopenharmony_ci 562306a36Sopenharmony_ciThis C header file is part of the SoftFloat IEC/IEEE Floating-point 662306a36Sopenharmony_ciArithmetic Package, Release 2. 762306a36Sopenharmony_ci 862306a36Sopenharmony_ciWritten by John R. Hauser. This work was made possible in part by the 962306a36Sopenharmony_ciInternational Computer Science Institute, located at Suite 600, 1947 Center 1062306a36Sopenharmony_ciStreet, Berkeley, California 94704. Funding was partially provided by the 1162306a36Sopenharmony_ciNational Science Foundation under grant MIP-9311980. The original version 1262306a36Sopenharmony_ciof this code was written as part of a project to build a fixed-point vector 1362306a36Sopenharmony_ciprocessor in collaboration with the University of California at Berkeley, 1462306a36Sopenharmony_cioverseen by Profs. Nelson Morgan and John Wawrzynek. More information 1562306a36Sopenharmony_ciis available through the Web page 1662306a36Sopenharmony_cihttp://www.jhauser.us/arithmetic/SoftFloat-2b/SoftFloat-source.txt 1762306a36Sopenharmony_ci 1862306a36Sopenharmony_ciTHIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort 1962306a36Sopenharmony_cihas been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT 2062306a36Sopenharmony_ciTIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO 2162306a36Sopenharmony_ciPERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY 2262306a36Sopenharmony_ciAND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. 2362306a36Sopenharmony_ci 2462306a36Sopenharmony_ciDerivative works are acceptable, even for commercial purposes, so long as 2562306a36Sopenharmony_ci(1) they include prominent notice that the work is derivative, and (2) they 2662306a36Sopenharmony_ciinclude prominent notice akin to these three paragraphs for those parts of 2762306a36Sopenharmony_cithis code that are retained. 2862306a36Sopenharmony_ci 2962306a36Sopenharmony_ci=============================================================================== 3062306a36Sopenharmony_ci*/ 3162306a36Sopenharmony_ci 3262306a36Sopenharmony_ci#ifndef __SOFTFLOAT_H__ 3362306a36Sopenharmony_ci#define __SOFTFLOAT_H__ 3462306a36Sopenharmony_ci 3562306a36Sopenharmony_ci 3662306a36Sopenharmony_ci/* 3762306a36Sopenharmony_ci------------------------------------------------------------------------------- 3862306a36Sopenharmony_ciThe macro `FLOATX80' must be defined to enable the extended double-precision 3962306a36Sopenharmony_cifloating-point format `floatx80'. If this macro is not defined, the 4062306a36Sopenharmony_ci`floatx80' type will not be defined, and none of the functions that either 4162306a36Sopenharmony_ciinput or output the `floatx80' type will be defined. 4262306a36Sopenharmony_ci------------------------------------------------------------------------------- 4362306a36Sopenharmony_ci*/ 4462306a36Sopenharmony_ci#ifdef CONFIG_FPE_NWFPE_XP 4562306a36Sopenharmony_ci#define FLOATX80 4662306a36Sopenharmony_ci#endif 4762306a36Sopenharmony_ci 4862306a36Sopenharmony_ci/* 4962306a36Sopenharmony_ci------------------------------------------------------------------------------- 5062306a36Sopenharmony_ciSoftware IEC/IEEE floating-point types. 5162306a36Sopenharmony_ci------------------------------------------------------------------------------- 5262306a36Sopenharmony_ci*/ 5362306a36Sopenharmony_citypedef u32 float32; 5462306a36Sopenharmony_citypedef u64 float64; 5562306a36Sopenharmony_citypedef struct { 5662306a36Sopenharmony_ci#ifdef __ARMEB__ 5762306a36Sopenharmony_ci u16 __padding; 5862306a36Sopenharmony_ci u16 high; 5962306a36Sopenharmony_ci#else 6062306a36Sopenharmony_ci u16 high; 6162306a36Sopenharmony_ci u16 __padding; 6262306a36Sopenharmony_ci#endif 6362306a36Sopenharmony_ci u64 low; 6462306a36Sopenharmony_ci} __attribute__ ((packed,aligned(4))) floatx80; 6562306a36Sopenharmony_ci 6662306a36Sopenharmony_ci/* 6762306a36Sopenharmony_ci------------------------------------------------------------------------------- 6862306a36Sopenharmony_ciSoftware IEC/IEEE floating-point underflow tininess-detection mode. 6962306a36Sopenharmony_ci------------------------------------------------------------------------------- 7062306a36Sopenharmony_ci*/ 7162306a36Sopenharmony_ciextern signed char float_detect_tininess; 7262306a36Sopenharmony_cienum { 7362306a36Sopenharmony_ci float_tininess_after_rounding = 0, 7462306a36Sopenharmony_ci float_tininess_before_rounding = 1 7562306a36Sopenharmony_ci}; 7662306a36Sopenharmony_ci 7762306a36Sopenharmony_ci/* 7862306a36Sopenharmony_ci------------------------------------------------------------------------------- 7962306a36Sopenharmony_ciSoftware IEC/IEEE floating-point rounding mode. 8062306a36Sopenharmony_ci------------------------------------------------------------------------------- 8162306a36Sopenharmony_ci*/ 8262306a36Sopenharmony_ci//extern int8 float_rounding_mode; 8362306a36Sopenharmony_cienum { 8462306a36Sopenharmony_ci float_round_nearest_even = 0, 8562306a36Sopenharmony_ci float_round_to_zero = 1, 8662306a36Sopenharmony_ci float_round_down = 2, 8762306a36Sopenharmony_ci float_round_up = 3 8862306a36Sopenharmony_ci}; 8962306a36Sopenharmony_ci 9062306a36Sopenharmony_ci/* 9162306a36Sopenharmony_ci------------------------------------------------------------------------------- 9262306a36Sopenharmony_ciSoftware IEC/IEEE floating-point exception flags. 9362306a36Sopenharmony_ci------------------------------------------------------------------------------- 9462306a36Sopenharmony_cienum { 9562306a36Sopenharmony_ci float_flag_inexact = 1, 9662306a36Sopenharmony_ci float_flag_underflow = 2, 9762306a36Sopenharmony_ci float_flag_overflow = 4, 9862306a36Sopenharmony_ci float_flag_divbyzero = 8, 9962306a36Sopenharmony_ci float_flag_invalid = 16 10062306a36Sopenharmony_ci}; 10162306a36Sopenharmony_ci 10262306a36Sopenharmony_ciScottB: November 4, 1998 10362306a36Sopenharmony_ciChanged the enumeration to match the bit order in the FPA11. 10462306a36Sopenharmony_ci*/ 10562306a36Sopenharmony_ci 10662306a36Sopenharmony_cienum { 10762306a36Sopenharmony_ci float_flag_invalid = 1, 10862306a36Sopenharmony_ci float_flag_divbyzero = 2, 10962306a36Sopenharmony_ci float_flag_overflow = 4, 11062306a36Sopenharmony_ci float_flag_underflow = 8, 11162306a36Sopenharmony_ci float_flag_inexact = 16 11262306a36Sopenharmony_ci}; 11362306a36Sopenharmony_ci 11462306a36Sopenharmony_ci/* 11562306a36Sopenharmony_ci------------------------------------------------------------------------------- 11662306a36Sopenharmony_ciRoutine to raise any or all of the software IEC/IEEE floating-point 11762306a36Sopenharmony_ciexception flags. 11862306a36Sopenharmony_ci------------------------------------------------------------------------------- 11962306a36Sopenharmony_ci*/ 12062306a36Sopenharmony_civoid float_raise( signed char ); 12162306a36Sopenharmony_ci 12262306a36Sopenharmony_ci/* 12362306a36Sopenharmony_ci------------------------------------------------------------------------------- 12462306a36Sopenharmony_ciSoftware IEC/IEEE integer-to-floating-point conversion routines. 12562306a36Sopenharmony_ci------------------------------------------------------------------------------- 12662306a36Sopenharmony_ci*/ 12762306a36Sopenharmony_cifloat32 int32_to_float32( struct roundingData *, signed int ); 12862306a36Sopenharmony_cifloat64 int32_to_float64( signed int ); 12962306a36Sopenharmony_ci#ifdef FLOATX80 13062306a36Sopenharmony_cifloatx80 int32_to_floatx80( signed int ); 13162306a36Sopenharmony_ci#endif 13262306a36Sopenharmony_ci 13362306a36Sopenharmony_ci/* 13462306a36Sopenharmony_ci------------------------------------------------------------------------------- 13562306a36Sopenharmony_ciSoftware IEC/IEEE single-precision conversion routines. 13662306a36Sopenharmony_ci------------------------------------------------------------------------------- 13762306a36Sopenharmony_ci*/ 13862306a36Sopenharmony_cisigned int float32_to_int32( struct roundingData *, float32 ); 13962306a36Sopenharmony_cisigned int float32_to_int32_round_to_zero( float32 ); 14062306a36Sopenharmony_cifloat64 float32_to_float64( float32 ); 14162306a36Sopenharmony_ci#ifdef FLOATX80 14262306a36Sopenharmony_cifloatx80 float32_to_floatx80( float32 ); 14362306a36Sopenharmony_ci#endif 14462306a36Sopenharmony_ci 14562306a36Sopenharmony_ci/* 14662306a36Sopenharmony_ci------------------------------------------------------------------------------- 14762306a36Sopenharmony_ciSoftware IEC/IEEE single-precision operations. 14862306a36Sopenharmony_ci------------------------------------------------------------------------------- 14962306a36Sopenharmony_ci*/ 15062306a36Sopenharmony_cifloat32 float32_round_to_int( struct roundingData*, float32 ); 15162306a36Sopenharmony_cifloat32 float32_add( struct roundingData *, float32, float32 ); 15262306a36Sopenharmony_cifloat32 float32_sub( struct roundingData *, float32, float32 ); 15362306a36Sopenharmony_cifloat32 float32_mul( struct roundingData *, float32, float32 ); 15462306a36Sopenharmony_cifloat32 float32_div( struct roundingData *, float32, float32 ); 15562306a36Sopenharmony_cifloat32 float32_rem( struct roundingData *, float32, float32 ); 15662306a36Sopenharmony_cifloat32 float32_sqrt( struct roundingData*, float32 ); 15762306a36Sopenharmony_cichar float32_eq( float32, float32 ); 15862306a36Sopenharmony_cichar float32_le( float32, float32 ); 15962306a36Sopenharmony_cichar float32_lt( float32, float32 ); 16062306a36Sopenharmony_cichar float32_eq_signaling( float32, float32 ); 16162306a36Sopenharmony_cichar float32_le_quiet( float32, float32 ); 16262306a36Sopenharmony_cichar float32_lt_quiet( float32, float32 ); 16362306a36Sopenharmony_cichar float32_is_signaling_nan( float32 ); 16462306a36Sopenharmony_ci 16562306a36Sopenharmony_ci/* 16662306a36Sopenharmony_ci------------------------------------------------------------------------------- 16762306a36Sopenharmony_ciSoftware IEC/IEEE double-precision conversion routines. 16862306a36Sopenharmony_ci------------------------------------------------------------------------------- 16962306a36Sopenharmony_ci*/ 17062306a36Sopenharmony_cisigned int float64_to_int32( struct roundingData *, float64 ); 17162306a36Sopenharmony_cisigned int float64_to_int32_round_to_zero( float64 ); 17262306a36Sopenharmony_cifloat32 float64_to_float32( struct roundingData *, float64 ); 17362306a36Sopenharmony_ci#ifdef FLOATX80 17462306a36Sopenharmony_cifloatx80 float64_to_floatx80( float64 ); 17562306a36Sopenharmony_ci#endif 17662306a36Sopenharmony_ci 17762306a36Sopenharmony_ci/* 17862306a36Sopenharmony_ci------------------------------------------------------------------------------- 17962306a36Sopenharmony_ciSoftware IEC/IEEE double-precision operations. 18062306a36Sopenharmony_ci------------------------------------------------------------------------------- 18162306a36Sopenharmony_ci*/ 18262306a36Sopenharmony_cifloat64 float64_round_to_int( struct roundingData *, float64 ); 18362306a36Sopenharmony_cifloat64 float64_add( struct roundingData *, float64, float64 ); 18462306a36Sopenharmony_cifloat64 float64_sub( struct roundingData *, float64, float64 ); 18562306a36Sopenharmony_cifloat64 float64_mul( struct roundingData *, float64, float64 ); 18662306a36Sopenharmony_cifloat64 float64_div( struct roundingData *, float64, float64 ); 18762306a36Sopenharmony_cifloat64 float64_rem( struct roundingData *, float64, float64 ); 18862306a36Sopenharmony_cifloat64 float64_sqrt( struct roundingData *, float64 ); 18962306a36Sopenharmony_cichar float64_eq( float64, float64 ); 19062306a36Sopenharmony_cichar float64_le( float64, float64 ); 19162306a36Sopenharmony_cichar float64_lt( float64, float64 ); 19262306a36Sopenharmony_cichar float64_eq_signaling( float64, float64 ); 19362306a36Sopenharmony_cichar float64_le_quiet( float64, float64 ); 19462306a36Sopenharmony_cichar float64_lt_quiet( float64, float64 ); 19562306a36Sopenharmony_cichar float64_is_signaling_nan( float64 ); 19662306a36Sopenharmony_ci 19762306a36Sopenharmony_ci#ifdef FLOATX80 19862306a36Sopenharmony_ci 19962306a36Sopenharmony_ci/* 20062306a36Sopenharmony_ci------------------------------------------------------------------------------- 20162306a36Sopenharmony_ciSoftware IEC/IEEE extended double-precision conversion routines. 20262306a36Sopenharmony_ci------------------------------------------------------------------------------- 20362306a36Sopenharmony_ci*/ 20462306a36Sopenharmony_cisigned int floatx80_to_int32( struct roundingData *, floatx80 ); 20562306a36Sopenharmony_cisigned int floatx80_to_int32_round_to_zero( floatx80 ); 20662306a36Sopenharmony_cifloat32 floatx80_to_float32( struct roundingData *, floatx80 ); 20762306a36Sopenharmony_cifloat64 floatx80_to_float64( struct roundingData *, floatx80 ); 20862306a36Sopenharmony_ci 20962306a36Sopenharmony_ci/* 21062306a36Sopenharmony_ci------------------------------------------------------------------------------- 21162306a36Sopenharmony_ciSoftware IEC/IEEE extended double-precision operations. 21262306a36Sopenharmony_ci------------------------------------------------------------------------------- 21362306a36Sopenharmony_ci*/ 21462306a36Sopenharmony_cifloatx80 floatx80_round_to_int( struct roundingData *, floatx80 ); 21562306a36Sopenharmony_cifloatx80 floatx80_add( struct roundingData *, floatx80, floatx80 ); 21662306a36Sopenharmony_cifloatx80 floatx80_sub( struct roundingData *, floatx80, floatx80 ); 21762306a36Sopenharmony_cifloatx80 floatx80_mul( struct roundingData *, floatx80, floatx80 ); 21862306a36Sopenharmony_cifloatx80 floatx80_div( struct roundingData *, floatx80, floatx80 ); 21962306a36Sopenharmony_cifloatx80 floatx80_rem( struct roundingData *, floatx80, floatx80 ); 22062306a36Sopenharmony_cifloatx80 floatx80_sqrt( struct roundingData *, floatx80 ); 22162306a36Sopenharmony_cichar floatx80_eq( floatx80, floatx80 ); 22262306a36Sopenharmony_cichar floatx80_le( floatx80, floatx80 ); 22362306a36Sopenharmony_cichar floatx80_lt( floatx80, floatx80 ); 22462306a36Sopenharmony_cichar floatx80_eq_signaling( floatx80, floatx80 ); 22562306a36Sopenharmony_cichar floatx80_le_quiet( floatx80, floatx80 ); 22662306a36Sopenharmony_cichar floatx80_lt_quiet( floatx80, floatx80 ); 22762306a36Sopenharmony_cichar floatx80_is_signaling_nan( floatx80 ); 22862306a36Sopenharmony_ci 22962306a36Sopenharmony_ciextern flag floatx80_is_nan(floatx80); 23062306a36Sopenharmony_ci 23162306a36Sopenharmony_ci#endif 23262306a36Sopenharmony_ci 23362306a36Sopenharmony_cistatic inline flag extractFloat32Sign(float32 a) 23462306a36Sopenharmony_ci{ 23562306a36Sopenharmony_ci return a >> 31; 23662306a36Sopenharmony_ci} 23762306a36Sopenharmony_ci 23862306a36Sopenharmony_cistatic inline flag float32_eq_nocheck(float32 a, float32 b) 23962306a36Sopenharmony_ci{ 24062306a36Sopenharmony_ci return (a == b) || ((bits32) ((a | b) << 1) == 0); 24162306a36Sopenharmony_ci} 24262306a36Sopenharmony_ci 24362306a36Sopenharmony_cistatic inline flag float32_lt_nocheck(float32 a, float32 b) 24462306a36Sopenharmony_ci{ 24562306a36Sopenharmony_ci flag aSign, bSign; 24662306a36Sopenharmony_ci 24762306a36Sopenharmony_ci aSign = extractFloat32Sign(a); 24862306a36Sopenharmony_ci bSign = extractFloat32Sign(b); 24962306a36Sopenharmony_ci if (aSign != bSign) 25062306a36Sopenharmony_ci return aSign && ((bits32) ((a | b) << 1) != 0); 25162306a36Sopenharmony_ci return (a != b) && (aSign ^ (a < b)); 25262306a36Sopenharmony_ci} 25362306a36Sopenharmony_ci 25462306a36Sopenharmony_cistatic inline flag extractFloat64Sign(float64 a) 25562306a36Sopenharmony_ci{ 25662306a36Sopenharmony_ci return a >> 63; 25762306a36Sopenharmony_ci} 25862306a36Sopenharmony_ci 25962306a36Sopenharmony_cistatic inline flag float64_eq_nocheck(float64 a, float64 b) 26062306a36Sopenharmony_ci{ 26162306a36Sopenharmony_ci return (a == b) || ((bits64) ((a | b) << 1) == 0); 26262306a36Sopenharmony_ci} 26362306a36Sopenharmony_ci 26462306a36Sopenharmony_cistatic inline flag float64_lt_nocheck(float64 a, float64 b) 26562306a36Sopenharmony_ci{ 26662306a36Sopenharmony_ci flag aSign, bSign; 26762306a36Sopenharmony_ci 26862306a36Sopenharmony_ci aSign = extractFloat64Sign(a); 26962306a36Sopenharmony_ci bSign = extractFloat64Sign(b); 27062306a36Sopenharmony_ci if (aSign != bSign) 27162306a36Sopenharmony_ci return aSign && ((bits64) ((a | b) << 1) != 0); 27262306a36Sopenharmony_ci return (a != b) && (aSign ^ (a < b)); 27362306a36Sopenharmony_ci} 27462306a36Sopenharmony_ci 27562306a36Sopenharmony_ciextern flag float32_is_nan( float32 a ); 27662306a36Sopenharmony_ciextern flag float64_is_nan( float64 a ); 27762306a36Sopenharmony_ci 27862306a36Sopenharmony_ciextern int32 float64_to_uint32( struct roundingData *roundData, float64 a ); 27962306a36Sopenharmony_ciextern int32 float64_to_uint32_round_to_zero( float64 a ); 28062306a36Sopenharmony_ci 28162306a36Sopenharmony_ci#endif 282