1 /* $NetBSD: dbl_float.h,v 1.4 2022/05/28 22:08:47 andvar Exp $ */ 2 3 /* $OpenBSD: dbl_float.h,v 1.10 2004/01/02 14:39:01 mickey Exp $ */ 4 5 /* 6 * Copyright 1996 1995 by Open Software Foundation, Inc. 7 * All Rights Reserved 8 * 9 * Permission to use, copy, modify, and distribute this software and 10 * its documentation for any purpose and without fee is hereby granted, 11 * provided that the above copyright notice appears in all copies and 12 * that both the copyright notice and this permission notice appear in 13 * supporting documentation. 14 * 15 * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE 16 * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 17 * FOR A PARTICULAR PURPOSE. 18 * 19 * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR 20 * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM 21 * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT, 22 * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION 23 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 24 */ 25 /* 26 * pmk1.1 27 */ 28 /* 29 * (c) Copyright 1986 HEWLETT-PACKARD COMPANY 30 * 31 * To anyone who acknowledges that this file is provided "AS IS" 32 * without any express or implied warranty: 33 * permission to use, copy, modify, and distribute this file 34 * for any purpose is hereby granted without fee, provided that 35 * the above copyright notice and this notice appears in all 36 * copies, and that the name of Hewlett-Packard Company not be 37 * used in advertising or publicity pertaining to distribution 38 * of the software without specific, written prior permission. 39 * Hewlett-Packard Company makes no representations about the 40 * suitability of this software for any purpose. 41 */ 42 43 #include <sys/cdefs.h> 44 45 /************************************** 46 * Declare double precision functions * 47 **************************************/ 48 49 /* 32-bit word grabbing functions */ 50 #define Dbl_firstword(value) Dallp1(value) 51 #define Dbl_secondword(value) Dallp2(value) 52 #define Dbl_thirdword(value) dummy_location 53 #define Dbl_fourthword(value) dummy_location 54 55 #define Dbl_sign(object) Dsign(object) 56 #define Dbl_exponent(object) Dexponent(object) 57 #define Dbl_signexponent(object) Dsignexponent(object) 58 #define Dbl_mantissap1(object) Dmantissap1(object) 59 #define Dbl_mantissap2(object) Dmantissap2(object) 60 #define Dbl_exponentmantissap1(object) Dexponentmantissap1(object) 61 #define Dbl_allp1(object) Dallp1(object) 62 #define Dbl_allp2(object) Dallp2(object) 63 64 /* dbl_and_signs ands the sign bits of each argument and puts the result 65 * into the first argument. dbl_or_signs ors those same sign bits */ 66 #define Dbl_and_signs( src1dst, src2) \ 67 Dallp1(src1dst) = (Dallp1(src2)|~(1<<31)) & Dallp1(src1dst) 68 #define Dbl_or_signs( src1dst, src2) \ 69 Dallp1(src1dst) = (Dallp1(src2)&(1<<31)) | Dallp1(src1dst) 70 71 /* The hidden bit is always the low bit of the exponent */ 72 #define Dbl_clear_exponent_set_hidden(srcdst) Deposit_dexponent(srcdst,1) 73 #define Dbl_clear_signexponent_set_hidden(srcdst) \ 74 Deposit_dsignexponent(srcdst,1) 75 #define Dbl_clear_sign(srcdst) Dallp1(srcdst) &= ~(1<<31) 76 #define Dbl_clear_signexponent(srcdst) \ 77 Dallp1(srcdst) &= Dmantissap1((unsigned)-1) 78 79 /* Exponent field for doubles has already been cleared and may be 80 * included in the shift. Here we need to generate two double width 81 * variable shifts. The insignificant bits can be ignored. 82 * MTSAR f(varamount) 83 * VSHD srcdst.high,srcdst.low => srcdst.low 84 * VSHD 0,srcdst.high => srcdst.high 85 * This is very difficult to model with C expressions since the shift amount 86 * could exceed 32. */ 87 /* varamount must be less than 64 */ 88 #define Dbl_rightshift(srcdstA, srcdstB, varamount) \ 89 {if((varamount) >= 32) { \ 90 Dallp2(srcdstB) = Dallp1(srcdstA) >> (varamount-32); \ 91 Dallp1(srcdstA)=0; \ 92 } \ 93 else if(varamount > 0) { \ 94 Variable_shift_double(Dallp1(srcdstA), Dallp2(srcdstB), \ 95 (varamount), Dallp2(srcdstB)); \ 96 Dallp1(srcdstA) >>= varamount; \ 97 } } 98 /* varamount must be less than 64 */ 99 #define Dbl_rightshift_exponentmantissa(srcdstA, srcdstB, varamount) \ 100 {if((varamount) >= 32) { \ 101 Dallp2(srcdstB) = Dexponentmantissap1(srcdstA) >> ((varamount)-32); \ 102 Dallp1(srcdstA) &= (1<<31); /* clear exponentmantissa field */ \ 103 } \ 104 else if(varamount > 0) { \ 105 Variable_shift_double(Dexponentmantissap1(srcdstA), Dallp2(srcdstB), \ 106 (varamount), Dallp2(srcdstB)); \ 107 Deposit_dexponentmantissap1(srcdstA, \ 108 (Dexponentmantissap1(srcdstA)>>(varamount))); \ 109 } } 110 /* varamount must be less than 64 */ 111 #define Dbl_leftshift(srcdstA, srcdstB, varamount) \ 112 {if((varamount) >= 32) { \ 113 Dallp1(srcdstA) = Dallp2(srcdstB) << (varamount-32); \ 114 Dallp2(srcdstB)=0; \ 115 } \ 116 else { \ 117 if ((varamount) > 0) { \ 118 Dallp1(srcdstA) = (Dallp1(srcdstA) << (varamount)) | \ 119 (Dallp2(srcdstB) >> (32-(varamount))); \ 120 Dallp2(srcdstB) <<= varamount; \ 121 } \ 122 } } 123 #define Dbl_leftshiftby1_withextent(lefta,leftb,right,resulta,resultb) \ 124 Shiftdouble(Dallp1(lefta), Dallp2(leftb), 31, Dallp1(resulta)); \ 125 Shiftdouble(Dallp2(leftb), Extall(right), 31, Dallp2(resultb)) 126 127 #define Dbl_rightshiftby1_withextent(leftb,right,dst) \ 128 Extall(dst) = (Dallp2(leftb) << 31) | ((unsigned)Extall(right) >> 1) | \ 129 Extlow(right) 130 131 #define Dbl_arithrightshiftby1(srcdstA,srcdstB) \ 132 Shiftdouble(Dallp1(srcdstA),Dallp2(srcdstB),1,Dallp2(srcdstB));\ 133 Dallp1(srcdstA) = (int)Dallp1(srcdstA) >> 1 134 135 /* Sign extend the sign bit with an integer destination */ 136 #define Dbl_signextendedsign(value) Dsignedsign(value) 137 138 #define Dbl_isone_hidden(dbl_value) (Is_dhidden(dbl_value)!=0) 139 /* Singles and doubles may include the sign and exponent fields. The 140 * hidden bit and the hidden overflow must be included. */ 141 #define Dbl_increment(dbl_valueA,dbl_valueB) \ 142 if( (Dallp2(dbl_valueB) += 1) == 0 ) Dallp1(dbl_valueA) += 1 143 #define Dbl_increment_mantissa(dbl_valueA,dbl_valueB) \ 144 if( (Dmantissap2(dbl_valueB) += 1) == 0 ) \ 145 Deposit_dmantissap1(dbl_valueA,dbl_valueA+1) 146 #define Dbl_decrement(dbl_valueA,dbl_valueB) \ 147 if( Dallp2(dbl_valueB) == 0 ) Dallp1(dbl_valueA) -= 1; \ 148 Dallp2(dbl_valueB) -= 1 149 150 #define Dbl_isone_sign(dbl_value) (Is_dsign(dbl_value)!=0) 151 #define Dbl_isone_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)!=0) 152 #define Dbl_isone_lowmantissap1(dbl_valueA) (Is_dlowp1(dbl_valueA)!=0) 153 #define Dbl_isone_lowmantissap2(dbl_valueB) (Is_dlowp2(dbl_valueB)!=0) 154 #define Dbl_isone_signaling(dbl_value) (Is_dsignaling(dbl_value)!=0) 155 #define Dbl_is_signalingnan(dbl_value) (Dsignalingnan(dbl_value)==0xfff) 156 #define Dbl_isnotzero(dbl_valueA,dbl_valueB) \ 157 (Dallp1(dbl_valueA) || Dallp2(dbl_valueB)) 158 #define Dbl_isnotzero_hiddenhigh7mantissa(dbl_value) \ 159 (Dhiddenhigh7mantissa(dbl_value)!=0) 160 #define Dbl_isnotzero_exponent(dbl_value) (Dexponent(dbl_value)!=0) 161 #define Dbl_isnotzero_mantissa(dbl_valueA,dbl_valueB) \ 162 (Dmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 163 #define Dbl_isnotzero_mantissap1(dbl_valueA) (Dmantissap1(dbl_valueA)!=0) 164 #define Dbl_isnotzero_mantissap2(dbl_valueB) (Dmantissap2(dbl_valueB)!=0) 165 #define Dbl_isnotzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 166 (Dexponentmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 167 #define Dbl_isnotzero_low4p2(dbl_value) (Dlow4p2(dbl_value)!=0) 168 #define Dbl_iszero(dbl_valueA,dbl_valueB) (Dallp1(dbl_valueA)==0 && \ 169 Dallp2(dbl_valueB)==0) 170 #define Dbl_iszero_allp1(dbl_value) (Dallp1(dbl_value)==0) 171 #define Dbl_iszero_allp2(dbl_value) (Dallp2(dbl_value)==0) 172 #define Dbl_iszero_hidden(dbl_value) (Is_dhidden(dbl_value)==0) 173 #define Dbl_iszero_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)==0) 174 #define Dbl_iszero_hiddenhigh3mantissa(dbl_value) \ 175 (Dhiddenhigh3mantissa(dbl_value)==0) 176 #define Dbl_iszero_hiddenhigh7mantissa(dbl_value) \ 177 (Dhiddenhigh7mantissa(dbl_value)==0) 178 #define Dbl_iszero_sign(dbl_value) (Is_dsign(dbl_value)==0) 179 #define Dbl_iszero_exponent(dbl_value) (Dexponent(dbl_value)==0) 180 #define Dbl_iszero_mantissa(dbl_valueA,dbl_valueB) \ 181 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 182 #define Dbl_iszero_exponentmantissa(dbl_valueA,dbl_valueB) \ 183 (Dexponentmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 184 #define Dbl_isinfinity_exponent(dbl_value) \ 185 (Dexponent(dbl_value)==DBL_INFINITY_EXPONENT) 186 #define Dbl_isnotinfinity_exponent(dbl_value) \ 187 (Dexponent(dbl_value)!=DBL_INFINITY_EXPONENT) 188 #define Dbl_isinfinity(dbl_valueA,dbl_valueB) \ 189 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 190 Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 191 #define Dbl_isnan(dbl_valueA,dbl_valueB) \ 192 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 193 (Dmantissap1(dbl_valueA)!=0 || Dmantissap2(dbl_valueB)!=0)) 194 #define Dbl_isnotnan(dbl_valueA,dbl_valueB) \ 195 (Dexponent(dbl_valueA)!=DBL_INFINITY_EXPONENT || \ 196 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)) 197 198 #define Dbl_islessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 199 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 200 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 201 Dallp2(dbl_op1b) < Dallp2(dbl_op2b))) 202 #define Dbl_isgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 203 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 204 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 205 Dallp2(dbl_op1b) > Dallp2(dbl_op2b))) 206 #define Dbl_isnotlessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 207 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 208 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 209 Dallp2(dbl_op1b) >= Dallp2(dbl_op2b))) 210 #define Dbl_isnotgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 211 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 212 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 213 Dallp2(dbl_op1b) <= Dallp2(dbl_op2b))) 214 #define Dbl_isequal(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 215 ((Dallp1(dbl_op1a) == Dallp1(dbl_op2a)) && \ 216 (Dallp2(dbl_op1b) == Dallp2(dbl_op2b))) 217 218 #define Dbl_leftshiftby8(dbl_valueA,dbl_valueB) \ 219 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),24,Dallp1(dbl_valueA)); \ 220 Dallp2(dbl_valueB) <<= 8 221 #define Dbl_leftshiftby7(dbl_valueA,dbl_valueB) \ 222 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),25,Dallp1(dbl_valueA)); \ 223 Dallp2(dbl_valueB) <<= 7 224 #define Dbl_leftshiftby4(dbl_valueA,dbl_valueB) \ 225 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),28,Dallp1(dbl_valueA)); \ 226 Dallp2(dbl_valueB) <<= 4 227 #define Dbl_leftshiftby3(dbl_valueA,dbl_valueB) \ 228 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),29,Dallp1(dbl_valueA)); \ 229 Dallp2(dbl_valueB) <<= 3 230 #define Dbl_leftshiftby2(dbl_valueA,dbl_valueB) \ 231 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),30,Dallp1(dbl_valueA)); \ 232 Dallp2(dbl_valueB) <<= 2 233 #define Dbl_leftshiftby1(dbl_valueA,dbl_valueB) \ 234 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),31,Dallp1(dbl_valueA)); \ 235 Dallp2(dbl_valueB) <<= 1 236 237 #define Dbl_rightshiftby8(dbl_valueA,dbl_valueB) \ 238 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),8,Dallp2(dbl_valueB)); \ 239 Dallp1(dbl_valueA) >>= 8 240 #define Dbl_rightshiftby4(dbl_valueA,dbl_valueB) \ 241 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),4,Dallp2(dbl_valueB)); \ 242 Dallp1(dbl_valueA) >>= 4 243 #define Dbl_rightshiftby2(dbl_valueA,dbl_valueB) \ 244 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),2,Dallp2(dbl_valueB)); \ 245 Dallp1(dbl_valueA) >>= 2 246 #define Dbl_rightshiftby1(dbl_valueA,dbl_valueB) \ 247 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),1,Dallp2(dbl_valueB)); \ 248 Dallp1(dbl_valueA) >>= 1 249 250 /* This magnitude comparison uses the signless first words and 251 * the regular part2 words. The comparison is graphically: 252 * 253 * 1st greater? ------------- 254 * | 255 * 1st less?-----------------+--------- 256 * | | 257 * 2nd greater or equal----->| | 258 * False True 259 */ 260 #define Dbl_ismagnitudeless(leftB,rightB,signlessleft,signlessright) \ 261 ((signlessleft <= signlessright) && \ 262 ( (signlessleft < signlessright) || (Dallp2(leftB)<Dallp2(rightB)) )) 263 264 #define Dbl_copytoint_exponentmantissap1(src,dest) \ 265 dest = Dexponentmantissap1(src) 266 267 /* A quiet NaN has the high mantissa bit clear and at least on other (in this 268 * case the adjacent bit) bit set. */ 269 #define Dbl_set_quiet(dbl_value) Deposit_dhigh2mantissa(dbl_value,1) 270 #define Dbl_set_exponent(dbl_value, exp) Deposit_dexponent(dbl_value,exp) 271 272 #define Dbl_set_mantissa(desta,destb,valuea,valueb) \ 273 Deposit_dmantissap1(desta,valuea); \ 274 Dmantissap2(destb) = Dmantissap2(valueb) 275 #define Dbl_set_mantissap1(desta,valuea) \ 276 Deposit_dmantissap1(desta,valuea) 277 #define Dbl_set_mantissap2(destb,valueb) \ 278 Dmantissap2(destb) = Dmantissap2(valueb) 279 280 #define Dbl_set_exponentmantissa(desta,destb,valuea,valueb) \ 281 Deposit_dexponentmantissap1(desta,valuea); \ 282 Dmantissap2(destb) = Dmantissap2(valueb) 283 #define Dbl_set_exponentmantissap1(dest,value) \ 284 Deposit_dexponentmantissap1(dest,value) 285 286 #define Dbl_copyfromptr(src,desta,destb) \ 287 Dallp1(desta) = src->wd0; \ 288 Dallp2(destb) = src->wd1 289 #define Dbl_copytoptr(srca,srcb,dest) \ 290 dest->wd0 = Dallp1(srca); \ 291 dest->wd1 = Dallp2(srcb) 292 293 /* An infinity is represented with the max exponent and a zero mantissa */ 294 #define Dbl_setinfinity_exponent(dbl_value) \ 295 Deposit_dexponent(dbl_value,DBL_INFINITY_EXPONENT) 296 #define Dbl_setinfinity_exponentmantissa(dbl_valueA,dbl_valueB) \ 297 Deposit_dexponentmantissap1(dbl_valueA, \ 298 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH)))); \ 299 Dmantissap2(dbl_valueB) = 0 300 #define Dbl_setinfinitypositive(dbl_valueA,dbl_valueB) \ 301 Dallp1(dbl_valueA) \ 302 = (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 303 Dmantissap2(dbl_valueB) = 0 304 #define Dbl_setinfinitynegative(dbl_valueA,dbl_valueB) \ 305 Dallp1(dbl_valueA) = (1<<31) | \ 306 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 307 Dmantissap2(dbl_valueB) = 0 308 #define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \ 309 Dallp1(dbl_valueA) = (sign << 31) | \ 310 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 311 Dmantissap2(dbl_valueB) = 0 312 313 #define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign) 314 #define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign) 315 #define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value)) 316 #define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1) 317 #define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1) 318 #define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff 319 #define Dbl_setzero_exponent(dbl_value) \ 320 Dallp1(dbl_value) &= 0x800fffff 321 #define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \ 322 Dallp1(dbl_valueA) &= 0xfff00000; \ 323 Dallp2(dbl_valueB) = 0 324 #define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000 325 #define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0 326 #define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 327 Dallp1(dbl_valueA) &= 0x80000000; \ 328 Dallp2(dbl_valueB) = 0 329 #define Dbl_setzero_exponentmantissap1(dbl_valueA) \ 330 Dallp1(dbl_valueA) &= 0x80000000 331 #define Dbl_setzero(dbl_valueA,dbl_valueB) \ 332 Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0 333 #define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0 334 #define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0 335 #define Dbl_setnegativezero(dbl_value) \ 336 Dallp1(dbl_value) = 1 << 31; Dallp2(dbl_value) = 0 337 #define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = 1 << 31 338 339 /* Use the following macro for both overflow & underflow conditions */ 340 #define ovfl - 341 #define unfl + 342 #define Dbl_setwrapped_exponent(dbl_value,exponent,op) \ 343 Deposit_dexponent(dbl_value,(exponent op DBL_WRAP)) 344 345 #define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \ 346 Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 347 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \ 348 Dallp2(dbl_valueB) = 0xFFFFFFFF 349 #define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \ 350 Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 351 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) | (1<<31); \ 352 Dallp2(dbl_valueB) = 0xFFFFFFFF 353 #define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \ 354 Deposit_dexponentmantissap1(dbl_valueA, \ 355 (((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 356 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \ 357 Dallp2(dbl_valueB) = 0xFFFFFFFF 358 359 #define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \ 360 Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \ 361 << (32-(1+DBL_EXP_LENGTH)) ; \ 362 Dallp2(dbl_valueB) = 0 363 #define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \ 364 Dallp1(dbl_valueA) = (sign << 31) | \ 365 ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \ 366 ((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \ 367 Dallp2(dbl_valueB) = 0xFFFFFFFF 368 369 370 /* The high bit is always zero so arithmetic or logical shifts will work. */ 371 #define Dbl_right_align(srcdstA,srcdstB,shift,extent) \ 372 if( shift >= 32 ) \ 373 { \ 374 /* Big shift requires examining the portion shift off \ 375 the end to properly set inexact. */ \ 376 if(shift < 64) \ 377 { \ 378 if(shift > 32) \ 379 { \ 380 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \ 381 shift-32, Extall(extent)); \ 382 if(Dallp2(srcdstB) << (64 - (shift))) Ext_setone_low(extent); \ 383 } \ 384 else Extall(extent) = Dallp2(srcdstB); \ 385 Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \ 386 } \ 387 else \ 388 { \ 389 Extall(extent) = Dallp1(srcdstA); \ 390 if(Dallp2(srcdstB)) Ext_setone_low(extent); \ 391 Dallp2(srcdstB) = 0; \ 392 } \ 393 Dallp1(srcdstA) = 0; \ 394 } \ 395 else \ 396 { \ 397 /* Small alignment is simpler. Extension is easily set. */ \ 398 if (shift > 0) \ 399 { \ 400 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 401 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \ 402 Dallp2(srcdstB)); \ 403 Dallp1(srcdstA) >>= shift; \ 404 } \ 405 else Extall(extent) = 0; \ 406 } 407 408 /* 409 * Here we need to shift the result right to correct for an overshift 410 * (due to the exponent becoming negative) during normalization. 411 */ 412 #define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \ 413 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 414 Dallp2(srcdstB) = (Dallp1(srcdstA) << (32 - (shift))) | \ 415 (Dallp2(srcdstB) >> (shift)); \ 416 Dallp1(srcdstA) = Dallp1(srcdstA) >> shift 417 418 #define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value) 419 #define Dbl_hidden(dbl_value) Dhidden(dbl_value) 420 #define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value) 421 422 /* The left argument is never smaller than the right argument */ 423 #define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \ 424 if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \ 425 Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \ 426 Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta) 427 428 /* Subtract right augmented with extension from left augmented with zeros and 429 * store into result and extension. */ 430 #define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \ 431 Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \ 432 if( (Extall(extent) = 0-Extall(extent)) ) \ 433 { \ 434 if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \ 435 } 436 437 #define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \ 438 /* If the sum of the low words is less than either source, then \ 439 * an overflow into the next word occurred. */ \ 440 Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \ 441 if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \ 442 Dallp1(resulta)++ 443 444 #define Dbl_xortointp1(left,right,result) \ 445 result = Dallp1(left) XOR Dallp1(right) 446 447 #define Dbl_xorfromintp1(left,right,result) \ 448 Dallp1(result) = left XOR Dallp1(right) 449 450 #define Dbl_swap_lower(left,right) \ 451 Dallp2(left) = Dallp2(left) XOR Dallp2(right); \ 452 Dallp2(right) = Dallp2(left) XOR Dallp2(right); \ 453 Dallp2(left) = Dallp2(left) XOR Dallp2(right) 454 455 /* Need to Initialize */ 456 #define Dbl_makequietnan(desta,destb) \ 457 Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 458 | (1<<(32-(1+DBL_EXP_LENGTH+2))); \ 459 Dallp2(destb) = 0 460 #define Dbl_makesignalingnan(desta,destb) \ 461 Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 462 | (1<<(32-(1+DBL_EXP_LENGTH+1))); \ 463 Dallp2(destb) = 0 464 465 #define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \ 466 while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \ 467 Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \ 468 exponent -= 8; \ 469 } \ 470 if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \ 471 Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \ 472 exponent -= 4; \ 473 } \ 474 while(Dbl_iszero_hidden(dbl_opndA)) { \ 475 Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \ 476 exponent -= 1; \ 477 } 478 479 #define Twoword_add(src1dstA,src1dstB,src2A,src2B) \ 480 /* \ 481 * want this macro to generate: \ 482 * ADD src1dstB,src2B,src1dstB; \ 483 * ADDC src1dstA,src2A,src1dstA; \ 484 */ \ 485 if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \ 486 Dallp1(src1dstA) += (src2A); \ 487 Dallp2(src1dstB) += (src2B) 488 489 #define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \ 490 /* \ 491 * want this macro to generate: \ 492 * SUB src1dstB,src2B,src1dstB; \ 493 * SUBB src1dstA,src2A,src1dstA; \ 494 */ \ 495 if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \ 496 Dallp1(src1dstA) -= (src2A); \ 497 Dallp2(src1dstB) -= (src2B) 498 499 #define Dbl_setoverflow(resultA,resultB) \ 500 /* set result to infinity or largest number */ \ 501 switch (Rounding_mode()) { \ 502 case ROUNDPLUS: \ 503 if (Dbl_isone_sign(resultA)) { \ 504 Dbl_setlargestnegative(resultA,resultB); \ 505 } \ 506 else { \ 507 Dbl_setinfinitypositive(resultA,resultB); \ 508 } \ 509 break; \ 510 case ROUNDMINUS: \ 511 if (Dbl_iszero_sign(resultA)) { \ 512 Dbl_setlargestpositive(resultA,resultB); \ 513 } \ 514 else { \ 515 Dbl_setinfinitynegative(resultA,resultB); \ 516 } \ 517 break; \ 518 case ROUNDNEAREST: \ 519 Dbl_setinfinity_exponentmantissa(resultA,resultB); \ 520 break; \ 521 case ROUNDZERO: \ 522 Dbl_setlargest_exponentmantissa(resultA,resultB); \ 523 } 524 525 #define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \ 526 Dbl_clear_signexponent_set_hidden(opndp1); \ 527 if (exponent >= (1-DBL_P)) { \ 528 if (exponent >= -31) { \ 529 guard = (Dallp2(opndp2) >> (-(exponent))) & 1; \ 530 if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \ 531 if (exponent > -31) { \ 532 Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \ 533 Dallp1(opndp1) >>= 1-exponent; \ 534 } \ 535 else { \ 536 Dallp2(opndp2) = Dallp1(opndp1); \ 537 Dbl_setzerop1(opndp1); \ 538 } \ 539 } \ 540 else { \ 541 guard = (Dallp1(opndp1) >> (-32-(exponent))) & 1; \ 542 if (exponent == -32) sticky |= Dallp2(opndp2); \ 543 else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << (64+(exponent))); \ 544 Dallp2(opndp2) = Dallp1(opndp1) >> (-31-(exponent)); \ 545 Dbl_setzerop1(opndp1); \ 546 } \ 547 inexact = guard | sticky; \ 548 } \ 549 else { \ 550 guard = 0; \ 551 sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \ 552 Dbl_setzero(opndp1,opndp2); \ 553 inexact = sticky; \ 554 } 555 556 557 int dbl_fadd(dbl_floating_point *, dbl_floating_point*, dbl_floating_point*, unsigned int *); 558 int dbl_fcmp(dbl_floating_point *, dbl_floating_point*, unsigned int, unsigned int *); 559 int dbl_fdiv(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 560 int dbl_fmpy(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 561 int dbl_frem(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 562 int dbl_fsqrt(dbl_floating_point *, dbl_floating_point *, unsigned int *); 563 int dbl_fsub(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 564 565 dbl_floating_point dbl_setoverflow(unsigned int); 566 567 int sgl_to_dbl_fcnvff(sgl_floating_point *, dbl_floating_point *, unsigned int *); 568 int dbl_to_sgl_fcnvff(dbl_floating_point *, sgl_floating_point *, unsigned int *); 569 570 int dbl_frnd(dbl_floating_point *, dbl_floating_point *, unsigned int *); 571
Indexes created Sat Sep 20 22:09:52 GMT 2025