1*2fe8fb19SBen Gras 2*2fe8fb19SBen Gras /* 3*2fe8fb19SBen Gras =============================================================================== 4*2fe8fb19SBen Gras 5*2fe8fb19SBen Gras This C header file is part of the SoftFloat IEC/IEEE Floating-point 6*2fe8fb19SBen Gras Arithmetic Package, Release 2a. 7*2fe8fb19SBen Gras 8*2fe8fb19SBen Gras Written by John R. Hauser. This work was made possible in part by the 9*2fe8fb19SBen Gras International Computer Science Institute, located at Suite 600, 1947 Center 10*2fe8fb19SBen Gras Street, Berkeley, California 94704. Funding was partially provided by the 11*2fe8fb19SBen Gras National Science Foundation under grant MIP-9311980. The original version 12*2fe8fb19SBen Gras of this code was written as part of a project to build a fixed-point vector 13*2fe8fb19SBen Gras processor in collaboration with the University of California at Berkeley, 14*2fe8fb19SBen Gras overseen by Profs. Nelson Morgan and John Wawrzynek. More information 15*2fe8fb19SBen Gras is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ 16*2fe8fb19SBen Gras arithmetic/SoftFloat.html'. 17*2fe8fb19SBen Gras 18*2fe8fb19SBen Gras THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort 19*2fe8fb19SBen Gras has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT 20*2fe8fb19SBen Gras TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO 21*2fe8fb19SBen Gras PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY 22*2fe8fb19SBen Gras AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. 23*2fe8fb19SBen Gras 24*2fe8fb19SBen Gras Derivative works are acceptable, even for commercial purposes, so long as 25*2fe8fb19SBen Gras (1) they include prominent notice that the work is derivative, and (2) they 26*2fe8fb19SBen Gras include prominent notice akin to these four paragraphs for those parts of 27*2fe8fb19SBen Gras this code that are retained. 28*2fe8fb19SBen Gras 29*2fe8fb19SBen Gras =============================================================================== 30*2fe8fb19SBen Gras */ 31*2fe8fb19SBen Gras 32*2fe8fb19SBen Gras /* 33*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 34*2fe8fb19SBen Gras The macro `FLOATX80' must be defined to enable the extended double-precision 35*2fe8fb19SBen Gras floating-point format `floatx80'. If this macro is not defined, the 36*2fe8fb19SBen Gras `floatx80' type will not be defined, and none of the functions that either 37*2fe8fb19SBen Gras input or output the `floatx80' type will be defined. The same applies to 38*2fe8fb19SBen Gras the `FLOAT128' macro and the quadruple-precision format `float128'. 39*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 40*2fe8fb19SBen Gras */ 41*2fe8fb19SBen Gras #define FLOATX80 42*2fe8fb19SBen Gras #define FLOAT128 43*2fe8fb19SBen Gras 44*2fe8fb19SBen Gras /* 45*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 46*2fe8fb19SBen Gras Software IEC/IEEE floating-point types. 47*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 48*2fe8fb19SBen Gras */ 49*2fe8fb19SBen Gras typedef !!!bits32 float32; 50*2fe8fb19SBen Gras typedef !!!bits64 float64; 51*2fe8fb19SBen Gras #ifdef FLOATX80 52*2fe8fb19SBen Gras typedef struct { 53*2fe8fb19SBen Gras !!!bits16 high; 54*2fe8fb19SBen Gras !!!bits64 low; 55*2fe8fb19SBen Gras } floatx80; 56*2fe8fb19SBen Gras #endif 57*2fe8fb19SBen Gras #ifdef FLOAT128 58*2fe8fb19SBen Gras typedef struct { 59*2fe8fb19SBen Gras !!!bits64 high, low; 60*2fe8fb19SBen Gras } float128; 61*2fe8fb19SBen Gras #endif 62*2fe8fb19SBen Gras 63*2fe8fb19SBen Gras /* 64*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 65*2fe8fb19SBen Gras Software IEC/IEEE floating-point underflow tininess-detection mode. 66*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 67*2fe8fb19SBen Gras */ 68*2fe8fb19SBen Gras extern !!!int8 float_detect_tininess; 69*2fe8fb19SBen Gras enum { 70*2fe8fb19SBen Gras float_tininess_after_rounding = 0, 71*2fe8fb19SBen Gras float_tininess_before_rounding = 1 72*2fe8fb19SBen Gras }; 73*2fe8fb19SBen Gras 74*2fe8fb19SBen Gras /* 75*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 76*2fe8fb19SBen Gras Software IEC/IEEE floating-point rounding mode. 77*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 78*2fe8fb19SBen Gras */ 79*2fe8fb19SBen Gras extern !!!int8 float_rounding_mode; 80*2fe8fb19SBen Gras enum { 81*2fe8fb19SBen Gras float_round_nearest_even = 0, 82*2fe8fb19SBen Gras float_round_to_zero = 1, 83*2fe8fb19SBen Gras float_round_down = 2, 84*2fe8fb19SBen Gras float_round_up = 3 85*2fe8fb19SBen Gras }; 86*2fe8fb19SBen Gras 87*2fe8fb19SBen Gras /* 88*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 89*2fe8fb19SBen Gras Software IEC/IEEE floating-point exception flags. 90*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 91*2fe8fb19SBen Gras */ 92*2fe8fb19SBen Gras extern !!!int8 float_exception_flags; 93*2fe8fb19SBen Gras enum { 94*2fe8fb19SBen Gras float_flag_inexact = 1, 95*2fe8fb19SBen Gras float_flag_underflow = 2, 96*2fe8fb19SBen Gras float_flag_overflow = 4, 97*2fe8fb19SBen Gras float_flag_divbyzero = 8, 98*2fe8fb19SBen Gras float_flag_invalid = 16 99*2fe8fb19SBen Gras }; 100*2fe8fb19SBen Gras 101*2fe8fb19SBen Gras /* 102*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 103*2fe8fb19SBen Gras Routine to raise any or all of the software IEC/IEEE floating-point 104*2fe8fb19SBen Gras exception flags. 105*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 106*2fe8fb19SBen Gras */ 107*2fe8fb19SBen Gras void float_raise( !!!int8 ); 108*2fe8fb19SBen Gras 109*2fe8fb19SBen Gras /* 110*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 111*2fe8fb19SBen Gras Software IEC/IEEE integer-to-floating-point conversion routines. 112*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 113*2fe8fb19SBen Gras */ 114*2fe8fb19SBen Gras float32 int32_to_float32( !!!int32 ); 115*2fe8fb19SBen Gras float64 int32_to_float64( !!!int32 ); 116*2fe8fb19SBen Gras #ifdef FLOATX80 117*2fe8fb19SBen Gras floatx80 int32_to_floatx80( !!!int32 ); 118*2fe8fb19SBen Gras #endif 119*2fe8fb19SBen Gras #ifdef FLOAT128 120*2fe8fb19SBen Gras float128 int32_to_float128( !!!int32 ); 121*2fe8fb19SBen Gras #endif 122*2fe8fb19SBen Gras float32 int64_to_float32( !!!int64 ); 123*2fe8fb19SBen Gras float64 int64_to_float64( !!!int64 ); 124*2fe8fb19SBen Gras #ifdef FLOATX80 125*2fe8fb19SBen Gras floatx80 int64_to_floatx80( !!!int64 ); 126*2fe8fb19SBen Gras #endif 127*2fe8fb19SBen Gras #ifdef FLOAT128 128*2fe8fb19SBen Gras float128 int64_to_float128( !!!int64 ); 129*2fe8fb19SBen Gras #endif 130*2fe8fb19SBen Gras 131*2fe8fb19SBen Gras /* 132*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 133*2fe8fb19SBen Gras Software IEC/IEEE single-precision conversion routines. 134*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 135*2fe8fb19SBen Gras */ 136*2fe8fb19SBen Gras !!!int32 float32_to_int32( float32 ); 137*2fe8fb19SBen Gras !!!int32 float32_to_int32_round_to_zero( float32 ); 138*2fe8fb19SBen Gras !!!int64 float32_to_int64( float32 ); 139*2fe8fb19SBen Gras !!!int64 float32_to_int64_round_to_zero( float32 ); 140*2fe8fb19SBen Gras float64 float32_to_float64( float32 ); 141*2fe8fb19SBen Gras #ifdef FLOATX80 142*2fe8fb19SBen Gras floatx80 float32_to_floatx80( float32 ); 143*2fe8fb19SBen Gras #endif 144*2fe8fb19SBen Gras #ifdef FLOAT128 145*2fe8fb19SBen Gras float128 float32_to_float128( float32 ); 146*2fe8fb19SBen Gras #endif 147*2fe8fb19SBen Gras 148*2fe8fb19SBen Gras /* 149*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 150*2fe8fb19SBen Gras Software IEC/IEEE single-precision operations. 151*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 152*2fe8fb19SBen Gras */ 153*2fe8fb19SBen Gras float32 float32_round_to_int( float32 ); 154*2fe8fb19SBen Gras float32 float32_add( float32, float32 ); 155*2fe8fb19SBen Gras float32 float32_sub( float32, float32 ); 156*2fe8fb19SBen Gras float32 float32_mul( float32, float32 ); 157*2fe8fb19SBen Gras float32 float32_div( float32, float32 ); 158*2fe8fb19SBen Gras float32 float32_rem( float32, float32 ); 159*2fe8fb19SBen Gras float32 float32_sqrt( float32 ); 160*2fe8fb19SBen Gras !!!flag float32_eq( float32, float32 ); 161*2fe8fb19SBen Gras !!!flag float32_le( float32, float32 ); 162*2fe8fb19SBen Gras !!!flag float32_lt( float32, float32 ); 163*2fe8fb19SBen Gras !!!flag float32_eq_signaling( float32, float32 ); 164*2fe8fb19SBen Gras !!!flag float32_le_quiet( float32, float32 ); 165*2fe8fb19SBen Gras !!!flag float32_lt_quiet( float32, float32 ); 166*2fe8fb19SBen Gras !!!flag float32_is_signaling_nan( float32 ); 167*2fe8fb19SBen Gras 168*2fe8fb19SBen Gras /* 169*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 170*2fe8fb19SBen Gras Software IEC/IEEE double-precision conversion routines. 171*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 172*2fe8fb19SBen Gras */ 173*2fe8fb19SBen Gras !!!int32 float64_to_int32( float64 ); 174*2fe8fb19SBen Gras !!!int32 float64_to_int32_round_to_zero( float64 ); 175*2fe8fb19SBen Gras !!!int64 float64_to_int64( float64 ); 176*2fe8fb19SBen Gras !!!int64 float64_to_int64_round_to_zero( float64 ); 177*2fe8fb19SBen Gras float32 float64_to_float32( float64 ); 178*2fe8fb19SBen Gras #ifdef FLOATX80 179*2fe8fb19SBen Gras floatx80 float64_to_floatx80( float64 ); 180*2fe8fb19SBen Gras #endif 181*2fe8fb19SBen Gras #ifdef FLOAT128 182*2fe8fb19SBen Gras float128 float64_to_float128( float64 ); 183*2fe8fb19SBen Gras #endif 184*2fe8fb19SBen Gras 185*2fe8fb19SBen Gras /* 186*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 187*2fe8fb19SBen Gras Software IEC/IEEE double-precision operations. 188*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 189*2fe8fb19SBen Gras */ 190*2fe8fb19SBen Gras float64 float64_round_to_int( float64 ); 191*2fe8fb19SBen Gras float64 float64_add( float64, float64 ); 192*2fe8fb19SBen Gras float64 float64_sub( float64, float64 ); 193*2fe8fb19SBen Gras float64 float64_mul( float64, float64 ); 194*2fe8fb19SBen Gras float64 float64_div( float64, float64 ); 195*2fe8fb19SBen Gras float64 float64_rem( float64, float64 ); 196*2fe8fb19SBen Gras float64 float64_sqrt( float64 ); 197*2fe8fb19SBen Gras !!!flag float64_eq( float64, float64 ); 198*2fe8fb19SBen Gras !!!flag float64_le( float64, float64 ); 199*2fe8fb19SBen Gras !!!flag float64_lt( float64, float64 ); 200*2fe8fb19SBen Gras !!!flag float64_eq_signaling( float64, float64 ); 201*2fe8fb19SBen Gras !!!flag float64_le_quiet( float64, float64 ); 202*2fe8fb19SBen Gras !!!flag float64_lt_quiet( float64, float64 ); 203*2fe8fb19SBen Gras !!!flag float64_is_signaling_nan( float64 ); 204*2fe8fb19SBen Gras 205*2fe8fb19SBen Gras #ifdef FLOATX80 206*2fe8fb19SBen Gras 207*2fe8fb19SBen Gras /* 208*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 209*2fe8fb19SBen Gras Software IEC/IEEE extended double-precision conversion routines. 210*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 211*2fe8fb19SBen Gras */ 212*2fe8fb19SBen Gras !!!int32 floatx80_to_int32( floatx80 ); 213*2fe8fb19SBen Gras !!!int32 floatx80_to_int32_round_to_zero( floatx80 ); 214*2fe8fb19SBen Gras !!!int64 floatx80_to_int64( floatx80 ); 215*2fe8fb19SBen Gras !!!int64 floatx80_to_int64_round_to_zero( floatx80 ); 216*2fe8fb19SBen Gras float32 floatx80_to_float32( floatx80 ); 217*2fe8fb19SBen Gras float64 floatx80_to_float64( floatx80 ); 218*2fe8fb19SBen Gras #ifdef FLOAT128 219*2fe8fb19SBen Gras float128 floatx80_to_float128( floatx80 ); 220*2fe8fb19SBen Gras #endif 221*2fe8fb19SBen Gras 222*2fe8fb19SBen Gras /* 223*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 224*2fe8fb19SBen Gras Software IEC/IEEE extended double-precision rounding precision. Valid 225*2fe8fb19SBen Gras values are 32, 64, and 80. 226*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 227*2fe8fb19SBen Gras */ 228*2fe8fb19SBen Gras extern !!!int8 floatx80_rounding_precision; 229*2fe8fb19SBen Gras 230*2fe8fb19SBen Gras /* 231*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 232*2fe8fb19SBen Gras Software IEC/IEEE extended double-precision operations. 233*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 234*2fe8fb19SBen Gras */ 235*2fe8fb19SBen Gras floatx80 floatx80_round_to_int( floatx80 ); 236*2fe8fb19SBen Gras floatx80 floatx80_add( floatx80, floatx80 ); 237*2fe8fb19SBen Gras floatx80 floatx80_sub( floatx80, floatx80 ); 238*2fe8fb19SBen Gras floatx80 floatx80_mul( floatx80, floatx80 ); 239*2fe8fb19SBen Gras floatx80 floatx80_div( floatx80, floatx80 ); 240*2fe8fb19SBen Gras floatx80 floatx80_rem( floatx80, floatx80 ); 241*2fe8fb19SBen Gras floatx80 floatx80_sqrt( floatx80 ); 242*2fe8fb19SBen Gras !!!flag floatx80_eq( floatx80, floatx80 ); 243*2fe8fb19SBen Gras !!!flag floatx80_le( floatx80, floatx80 ); 244*2fe8fb19SBen Gras !!!flag floatx80_lt( floatx80, floatx80 ); 245*2fe8fb19SBen Gras !!!flag floatx80_eq_signaling( floatx80, floatx80 ); 246*2fe8fb19SBen Gras !!!flag floatx80_le_quiet( floatx80, floatx80 ); 247*2fe8fb19SBen Gras !!!flag floatx80_lt_quiet( floatx80, floatx80 ); 248*2fe8fb19SBen Gras !!!flag floatx80_is_signaling_nan( floatx80 ); 249*2fe8fb19SBen Gras 250*2fe8fb19SBen Gras #endif 251*2fe8fb19SBen Gras 252*2fe8fb19SBen Gras #ifdef FLOAT128 253*2fe8fb19SBen Gras 254*2fe8fb19SBen Gras /* 255*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 256*2fe8fb19SBen Gras Software IEC/IEEE quadruple-precision conversion routines. 257*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 258*2fe8fb19SBen Gras */ 259*2fe8fb19SBen Gras !!!int32 float128_to_int32( float128 ); 260*2fe8fb19SBen Gras !!!int32 float128_to_int32_round_to_zero( float128 ); 261*2fe8fb19SBen Gras !!!int64 float128_to_int64( float128 ); 262*2fe8fb19SBen Gras !!!int64 float128_to_int64_round_to_zero( float128 ); 263*2fe8fb19SBen Gras float32 float128_to_float32( float128 ); 264*2fe8fb19SBen Gras float64 float128_to_float64( float128 ); 265*2fe8fb19SBen Gras #ifdef FLOATX80 266*2fe8fb19SBen Gras floatx80 float128_to_floatx80( float128 ); 267*2fe8fb19SBen Gras #endif 268*2fe8fb19SBen Gras 269*2fe8fb19SBen Gras /* 270*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 271*2fe8fb19SBen Gras Software IEC/IEEE quadruple-precision operations. 272*2fe8fb19SBen Gras ------------------------------------------------------------------------------- 273*2fe8fb19SBen Gras */ 274*2fe8fb19SBen Gras float128 float128_round_to_int( float128 ); 275*2fe8fb19SBen Gras float128 float128_add( float128, float128 ); 276*2fe8fb19SBen Gras float128 float128_sub( float128, float128 ); 277*2fe8fb19SBen Gras float128 float128_mul( float128, float128 ); 278*2fe8fb19SBen Gras float128 float128_div( float128, float128 ); 279*2fe8fb19SBen Gras float128 float128_rem( float128, float128 ); 280*2fe8fb19SBen Gras float128 float128_sqrt( float128 ); 281*2fe8fb19SBen Gras !!!flag float128_eq( float128, float128 ); 282*2fe8fb19SBen Gras !!!flag float128_le( float128, float128 ); 283*2fe8fb19SBen Gras !!!flag float128_lt( float128, float128 ); 284*2fe8fb19SBen Gras !!!flag float128_eq_signaling( float128, float128 ); 285*2fe8fb19SBen Gras !!!flag float128_le_quiet( float128, float128 ); 286*2fe8fb19SBen Gras !!!flag float128_lt_quiet( float128, float128 ); 287*2fe8fb19SBen Gras !!!flag float128_is_signaling_nan( float128 ); 288*2fe8fb19SBen Gras 289*2fe8fb19SBen Gras #endif 290*2fe8fb19SBen Gras 291