1 /* $OpenBSD: dbl_float.h,v 1.5 2001/03/29 03:58:17 mickey Exp $ */ 2 3 /* 4 * Copyright 1996 1995 by Open Software Foundation, Inc. 5 * All Rights Reserved 6 * 7 * Permission to use, copy, modify, and distribute this software and 8 * its documentation for any purpose and without fee is hereby granted, 9 * provided that the above copyright notice appears in all copies and 10 * that both the copyright notice and this permission notice appear in 11 * supporting documentation. 12 * 13 * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE 14 * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 15 * FOR A PARTICULAR PURPOSE. 16 * 17 * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR 18 * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM 19 * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT, 20 * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION 21 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 22 */ 23 /* 24 * pmk1.1 25 */ 26 /* 27 * (c) Copyright 1986 HEWLETT-PACKARD COMPANY 28 * 29 * To anyone who acknowledges that this file is provided "AS IS" 30 * without any express or implied warranty: 31 * permission to use, copy, modify, and distribute this file 32 * for any purpose is hereby granted without fee, provided that 33 * the above copyright notice and this notice appears in all 34 * copies, and that the name of Hewlett-Packard Company not be 35 * used in advertising or publicity pertaining to distribution 36 * of the software without specific, written prior permission. 37 * Hewlett-Packard Company makes no representations about the 38 * suitability of this software for any purpose. 39 */ 40 41 #include <sys/cdefs.h> 42 43 /************************************** 44 * Declare double precision functions * 45 **************************************/ 46 47 /* 32-bit word grabing functions */ 48 #define Dbl_firstword(value) Dallp1(value) 49 #define Dbl_secondword(value) Dallp2(value) 50 #define Dbl_thirdword(value) dummy_location 51 #define Dbl_fourthword(value) dummy_location 52 53 #define Dbl_sign(object) Dsign(object) 54 #define Dbl_exponent(object) Dexponent(object) 55 #define Dbl_signexponent(object) Dsignexponent(object) 56 #define Dbl_mantissap1(object) Dmantissap1(object) 57 #define Dbl_mantissap2(object) Dmantissap2(object) 58 #define Dbl_exponentmantissap1(object) Dexponentmantissap1(object) 59 #define Dbl_allp1(object) Dallp1(object) 60 #define Dbl_allp2(object) Dallp2(object) 61 62 /* dbl_and_signs ands the sign bits of each argument and puts the result 63 * into the first argument. dbl_or_signs ors those same sign bits */ 64 #define Dbl_and_signs( src1dst, src2) \ 65 Dallp1(src1dst) = (Dallp1(src2)|~(1<<31)) & Dallp1(src1dst) 66 #define Dbl_or_signs( src1dst, src2) \ 67 Dallp1(src1dst) = (Dallp1(src2)&(1<<31)) | Dallp1(src1dst) 68 69 /* The hidden bit is always the low bit of the exponent */ 70 #define Dbl_clear_exponent_set_hidden(srcdst) Deposit_dexponent(srcdst,1) 71 #define Dbl_clear_signexponent_set_hidden(srcdst) \ 72 Deposit_dsignexponent(srcdst,1) 73 #define Dbl_clear_sign(srcdst) Dallp1(srcdst) &= ~(1<<31) 74 #define Dbl_clear_signexponent(srcdst) \ 75 Dallp1(srcdst) &= Dmantissap1((unsigned)-1) 76 77 /* Exponent field for doubles has already been cleared and may be 78 * included in the shift. Here we need to generate two double width 79 * variable shifts. The insignificant bits can be ignored. 80 * MTSAR f(varamount) 81 * VSHD srcdst.high,srcdst.low => srcdst.low 82 * VSHD 0,srcdst.high => srcdst.high 83 * This is very difficult to model with C expressions since the shift amount 84 * could exceed 32. */ 85 /* varamount must be less than 64 */ 86 #define Dbl_rightshift(srcdstA, srcdstB, varamount) \ 87 {if((varamount) >= 32) { \ 88 Dallp2(srcdstB) = Dallp1(srcdstA) >> (varamount-32); \ 89 Dallp1(srcdstA)=0; \ 90 } \ 91 else if(varamount > 0) { \ 92 Variable_shift_double(Dallp1(srcdstA), Dallp2(srcdstB), \ 93 (varamount), Dallp2(srcdstB)); \ 94 Dallp1(srcdstA) >>= varamount; \ 95 } } 96 /* varamount must be less than 64 */ 97 #define Dbl_rightshift_exponentmantissa(srcdstA, srcdstB, varamount) \ 98 {if((varamount) >= 32) { \ 99 Dallp2(srcdstB) = Dexponentmantissap1(srcdstA) >> ((varamount)-32); \ 100 Dallp1(srcdstA) &= (1<<31); /* clear exponentmantissa field */ \ 101 } \ 102 else if(varamount > 0) { \ 103 Variable_shift_double(Dexponentmantissap1(srcdstA), Dallp2(srcdstB), \ 104 (varamount), Dallp2(srcdstB)); \ 105 Deposit_dexponentmantissap1(srcdstA, \ 106 (Dexponentmantissap1(srcdstA)>>(varamount))); \ 107 } } 108 /* varamount must be less than 64 */ 109 #define Dbl_leftshift(srcdstA, srcdstB, varamount) \ 110 {if((varamount) >= 32) { \ 111 Dallp1(srcdstA) = Dallp2(srcdstB) << (varamount-32); \ 112 Dallp2(srcdstB)=0; \ 113 } \ 114 else { \ 115 if ((varamount) > 0) { \ 116 Dallp1(srcdstA) = (Dallp1(srcdstA) << (varamount)) | \ 117 (Dallp2(srcdstB) >> (32-(varamount))); \ 118 Dallp2(srcdstB) <<= varamount; \ 119 } \ 120 } } 121 #define Dbl_leftshiftby1_withextent(lefta,leftb,right,resulta,resultb) \ 122 Shiftdouble(Dallp1(lefta), Dallp2(leftb), 31, Dallp1(resulta)); \ 123 Shiftdouble(Dallp2(leftb), Extall(right), 31, Dallp2(resultb)) 124 125 #define Dbl_rightshiftby1_withextent(leftb,right,dst) \ 126 Extall(dst) = (Dallp2(leftb) << 31) | ((unsigned)Extall(right) >> 1) | \ 127 Extlow(right) 128 129 #define Dbl_arithrightshiftby1(srcdstA,srcdstB) \ 130 Shiftdouble(Dallp1(srcdstA),Dallp2(srcdstB),1,Dallp2(srcdstB));\ 131 Dallp1(srcdstA) = (int)Dallp1(srcdstA) >> 1 132 133 /* Sign extend the sign bit with an integer destination */ 134 #define Dbl_signextendedsign(value) Dsignedsign(value) 135 136 #define Dbl_isone_hidden(dbl_value) (Is_dhidden(dbl_value)!=0) 137 /* Singles and doubles may include the sign and exponent fields. The 138 * hidden bit and the hidden overflow must be included. */ 139 #define Dbl_increment(dbl_valueA,dbl_valueB) \ 140 if( (Dallp2(dbl_valueB) += 1) == 0 ) Dallp1(dbl_valueA) += 1 141 #define Dbl_increment_mantissa(dbl_valueA,dbl_valueB) \ 142 if( (Dmantissap2(dbl_valueB) += 1) == 0 ) \ 143 Deposit_dmantissap1(dbl_valueA,dbl_valueA+1) 144 #define Dbl_decrement(dbl_valueA,dbl_valueB) \ 145 if( Dallp2(dbl_valueB) == 0 ) Dallp1(dbl_valueA) -= 1; \ 146 Dallp2(dbl_valueB) -= 1 147 148 #define Dbl_isone_sign(dbl_value) (Is_dsign(dbl_value)!=0) 149 #define Dbl_isone_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)!=0) 150 #define Dbl_isone_lowmantissap1(dbl_valueA) (Is_dlowp1(dbl_valueA)!=0) 151 #define Dbl_isone_lowmantissap2(dbl_valueB) (Is_dlowp2(dbl_valueB)!=0) 152 #define Dbl_isone_signaling(dbl_value) (Is_dsignaling(dbl_value)!=0) 153 #define Dbl_is_signalingnan(dbl_value) (Dsignalingnan(dbl_value)==0xfff) 154 #define Dbl_isnotzero(dbl_valueA,dbl_valueB) \ 155 (Dallp1(dbl_valueA) || Dallp2(dbl_valueB)) 156 #define Dbl_isnotzero_hiddenhigh7mantissa(dbl_value) \ 157 (Dhiddenhigh7mantissa(dbl_value)!=0) 158 #define Dbl_isnotzero_exponent(dbl_value) (Dexponent(dbl_value)!=0) 159 #define Dbl_isnotzero_mantissa(dbl_valueA,dbl_valueB) \ 160 (Dmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 161 #define Dbl_isnotzero_mantissap1(dbl_valueA) (Dmantissap1(dbl_valueA)!=0) 162 #define Dbl_isnotzero_mantissap2(dbl_valueB) (Dmantissap2(dbl_valueB)!=0) 163 #define Dbl_isnotzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 164 (Dexponentmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 165 #define Dbl_isnotzero_low4p2(dbl_value) (Dlow4p2(dbl_value)!=0) 166 #define Dbl_iszero(dbl_valueA,dbl_valueB) (Dallp1(dbl_valueA)==0 && \ 167 Dallp2(dbl_valueB)==0) 168 #define Dbl_iszero_allp1(dbl_value) (Dallp1(dbl_value)==0) 169 #define Dbl_iszero_allp2(dbl_value) (Dallp2(dbl_value)==0) 170 #define Dbl_iszero_hidden(dbl_value) (Is_dhidden(dbl_value)==0) 171 #define Dbl_iszero_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)==0) 172 #define Dbl_iszero_hiddenhigh3mantissa(dbl_value) \ 173 (Dhiddenhigh3mantissa(dbl_value)==0) 174 #define Dbl_iszero_hiddenhigh7mantissa(dbl_value) \ 175 (Dhiddenhigh7mantissa(dbl_value)==0) 176 #define Dbl_iszero_sign(dbl_value) (Is_dsign(dbl_value)==0) 177 #define Dbl_iszero_exponent(dbl_value) (Dexponent(dbl_value)==0) 178 #define Dbl_iszero_mantissa(dbl_valueA,dbl_valueB) \ 179 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 180 #define Dbl_iszero_exponentmantissa(dbl_valueA,dbl_valueB) \ 181 (Dexponentmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 182 #define Dbl_isinfinity_exponent(dbl_value) \ 183 (Dexponent(dbl_value)==DBL_INFINITY_EXPONENT) 184 #define Dbl_isnotinfinity_exponent(dbl_value) \ 185 (Dexponent(dbl_value)!=DBL_INFINITY_EXPONENT) 186 #define Dbl_isinfinity(dbl_valueA,dbl_valueB) \ 187 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 188 Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 189 #define Dbl_isnan(dbl_valueA,dbl_valueB) \ 190 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 191 (Dmantissap1(dbl_valueA)!=0 || Dmantissap2(dbl_valueB)!=0)) 192 #define Dbl_isnotnan(dbl_valueA,dbl_valueB) \ 193 (Dexponent(dbl_valueA)!=DBL_INFINITY_EXPONENT || \ 194 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)) 195 196 #define Dbl_islessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 197 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 198 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 199 Dallp2(dbl_op1b) < Dallp2(dbl_op2b))) 200 #define Dbl_isgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 201 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 202 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 203 Dallp2(dbl_op1b) > Dallp2(dbl_op2b))) 204 #define Dbl_isnotlessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 205 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 206 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 207 Dallp2(dbl_op1b) >= Dallp2(dbl_op2b))) 208 #define Dbl_isnotgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 209 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 210 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 211 Dallp2(dbl_op1b) <= Dallp2(dbl_op2b))) 212 #define Dbl_isequal(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 213 ((Dallp1(dbl_op1a) == Dallp1(dbl_op2a)) && \ 214 (Dallp2(dbl_op1b) == Dallp2(dbl_op2b))) 215 216 #define Dbl_leftshiftby8(dbl_valueA,dbl_valueB) \ 217 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),24,Dallp1(dbl_valueA)); \ 218 Dallp2(dbl_valueB) <<= 8 219 #define Dbl_leftshiftby7(dbl_valueA,dbl_valueB) \ 220 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),25,Dallp1(dbl_valueA)); \ 221 Dallp2(dbl_valueB) <<= 7 222 #define Dbl_leftshiftby4(dbl_valueA,dbl_valueB) \ 223 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),28,Dallp1(dbl_valueA)); \ 224 Dallp2(dbl_valueB) <<= 4 225 #define Dbl_leftshiftby3(dbl_valueA,dbl_valueB) \ 226 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),29,Dallp1(dbl_valueA)); \ 227 Dallp2(dbl_valueB) <<= 3 228 #define Dbl_leftshiftby2(dbl_valueA,dbl_valueB) \ 229 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),30,Dallp1(dbl_valueA)); \ 230 Dallp2(dbl_valueB) <<= 2 231 #define Dbl_leftshiftby1(dbl_valueA,dbl_valueB) \ 232 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),31,Dallp1(dbl_valueA)); \ 233 Dallp2(dbl_valueB) <<= 1 234 235 #define Dbl_rightshiftby8(dbl_valueA,dbl_valueB) \ 236 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),8,Dallp2(dbl_valueB)); \ 237 Dallp1(dbl_valueA) >>= 8 238 #define Dbl_rightshiftby4(dbl_valueA,dbl_valueB) \ 239 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),4,Dallp2(dbl_valueB)); \ 240 Dallp1(dbl_valueA) >>= 4 241 #define Dbl_rightshiftby2(dbl_valueA,dbl_valueB) \ 242 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),2,Dallp2(dbl_valueB)); \ 243 Dallp1(dbl_valueA) >>= 2 244 #define Dbl_rightshiftby1(dbl_valueA,dbl_valueB) \ 245 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),1,Dallp2(dbl_valueB)); \ 246 Dallp1(dbl_valueA) >>= 1 247 248 /* This magnitude comparison uses the signless first words and 249 * the regular part2 words. The comparison is graphically: 250 * 251 * 1st greater? ------------- 252 * | 253 * 1st less?-----------------+--------- 254 * | | 255 * 2nd greater or equal----->| | 256 * False True 257 */ 258 #define Dbl_ismagnitudeless(leftB,rightB,signlessleft,signlessright) \ 259 ((signlessleft <= signlessright) && \ 260 ( (signlessleft < signlessright) || (Dallp2(leftB)<Dallp2(rightB)) )) 261 262 #define Dbl_copytoint_exponentmantissap1(src,dest) \ 263 dest = Dexponentmantissap1(src) 264 265 /* A quiet NaN has the high mantissa bit clear and at least on other (in this 266 * case the adjacent bit) bit set. */ 267 #define Dbl_set_quiet(dbl_value) Deposit_dhigh2mantissa(dbl_value,1) 268 #define Dbl_set_exponent(dbl_value, exp) Deposit_dexponent(dbl_value,exp) 269 270 #define Dbl_set_mantissa(desta,destb,valuea,valueb) \ 271 Deposit_dmantissap1(desta,valuea); \ 272 Dmantissap2(destb) = Dmantissap2(valueb) 273 #define Dbl_set_mantissap1(desta,valuea) \ 274 Deposit_dmantissap1(desta,valuea) 275 #define Dbl_set_mantissap2(destb,valueb) \ 276 Dmantissap2(destb) = Dmantissap2(valueb) 277 278 #define Dbl_set_exponentmantissa(desta,destb,valuea,valueb) \ 279 Deposit_dexponentmantissap1(desta,valuea); \ 280 Dmantissap2(destb) = Dmantissap2(valueb) 281 #define Dbl_set_exponentmantissap1(dest,value) \ 282 Deposit_dexponentmantissap1(dest,value) 283 284 #define Dbl_copyfromptr(src,desta,destb) \ 285 Dallp1(desta) = src->wd0; \ 286 Dallp2(destb) = src->wd1 287 #define Dbl_copytoptr(srca,srcb,dest) \ 288 dest->wd0 = Dallp1(srca); \ 289 dest->wd1 = Dallp2(srcb) 290 291 /* An infinity is represented with the max exponent and a zero mantissa */ 292 #define Dbl_setinfinity_exponent(dbl_value) \ 293 Deposit_dexponent(dbl_value,DBL_INFINITY_EXPONENT) 294 #define Dbl_setinfinity_exponentmantissa(dbl_valueA,dbl_valueB) \ 295 Deposit_dexponentmantissap1(dbl_valueA, \ 296 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH)))); \ 297 Dmantissap2(dbl_valueB) = 0 298 #define Dbl_setinfinitypositive(dbl_valueA,dbl_valueB) \ 299 Dallp1(dbl_valueA) \ 300 = (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 301 Dmantissap2(dbl_valueB) = 0 302 #define Dbl_setinfinitynegative(dbl_valueA,dbl_valueB) \ 303 Dallp1(dbl_valueA) = (1<<31) | \ 304 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 305 Dmantissap2(dbl_valueB) = 0 306 #define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \ 307 Dallp1(dbl_valueA) = (sign << 31) | \ 308 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 309 Dmantissap2(dbl_valueB) = 0 310 311 #define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign) 312 #define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign) 313 #define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value)) 314 #define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1) 315 #define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1) 316 #define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff 317 #define Dbl_setzero_exponent(dbl_value) \ 318 Dallp1(dbl_value) &= 0x800fffff 319 #define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \ 320 Dallp1(dbl_valueA) &= 0xfff00000; \ 321 Dallp2(dbl_valueB) = 0 322 #define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000 323 #define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0 324 #define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 325 Dallp1(dbl_valueA) &= 0x80000000; \ 326 Dallp2(dbl_valueB) = 0 327 #define Dbl_setzero_exponentmantissap1(dbl_valueA) \ 328 Dallp1(dbl_valueA) &= 0x80000000 329 #define Dbl_setzero(dbl_valueA,dbl_valueB) \ 330 Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0 331 #define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0 332 #define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0 333 #define Dbl_setnegativezero(dbl_value) \ 334 Dallp1(dbl_value) = 1 << 31; Dallp2(dbl_value) = 0 335 #define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = 1 << 31 336 337 /* Use the following macro for both overflow & underflow conditions */ 338 #define ovfl - 339 #define unfl + 340 #define Dbl_setwrapped_exponent(dbl_value,exponent,op) \ 341 Deposit_dexponent(dbl_value,(exponent op DBL_WRAP)) 342 343 #define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \ 344 Dallp1(dbl_valueA) = ((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 345 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \ 346 Dallp2(dbl_valueB) = 0xFFFFFFFF 347 #define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \ 348 Dallp1(dbl_valueA) = ((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 349 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) | (1<<31); \ 350 Dallp2(dbl_valueB) = 0xFFFFFFFF 351 #define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \ 352 Deposit_dexponentmantissap1(dbl_valueA, \ 353 (((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 354 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \ 355 Dallp2(dbl_valueB) = 0xFFFFFFFF 356 357 #define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \ 358 Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \ 359 << (32-(1+DBL_EXP_LENGTH)) ; \ 360 Dallp2(dbl_valueB) = 0 361 #define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \ 362 Dallp1(dbl_valueA) = (sign << 31) | \ 363 ((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \ 364 ((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \ 365 Dallp2(dbl_valueB) = 0xFFFFFFFF 366 367 368 /* The high bit is always zero so arithmetic or logical shifts will work. */ 369 #define Dbl_right_align(srcdstA,srcdstB,shift,extent) \ 370 if( shift >= 32 ) \ 371 { \ 372 /* Big shift requires examining the portion shift off \ 373 the end to properly set inexact. */ \ 374 if(shift < 64) \ 375 { \ 376 if(shift > 32) \ 377 { \ 378 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \ 379 shift-32, Extall(extent)); \ 380 if(Dallp2(srcdstB) << (64 - (shift))) Ext_setone_low(extent); \ 381 } \ 382 else Extall(extent) = Dallp2(srcdstB); \ 383 Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \ 384 } \ 385 else \ 386 { \ 387 Extall(extent) = Dallp1(srcdstA); \ 388 if(Dallp2(srcdstB)) Ext_setone_low(extent); \ 389 Dallp2(srcdstB) = 0; \ 390 } \ 391 Dallp1(srcdstA) = 0; \ 392 } \ 393 else \ 394 { \ 395 /* Small alignment is simpler. Extension is easily set. */ \ 396 if (shift > 0) \ 397 { \ 398 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 399 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \ 400 Dallp2(srcdstB)); \ 401 Dallp1(srcdstA) >>= shift; \ 402 } \ 403 else Extall(extent) = 0; \ 404 } 405 406 /* 407 * Here we need to shift the result right to correct for an overshift 408 * (due to the exponent becoming negative) during normalization. 409 */ 410 #define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \ 411 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 412 Dallp2(srcdstB) = (Dallp1(srcdstA) << (32 - (shift))) | \ 413 (Dallp2(srcdstB) >> (shift)); \ 414 Dallp1(srcdstA) = Dallp1(srcdstA) >> shift 415 416 #define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value) 417 #define Dbl_hidden(dbl_value) Dhidden(dbl_value) 418 #define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value) 419 420 /* The left argument is never smaller than the right argument */ 421 #define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \ 422 if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \ 423 Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \ 424 Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta) 425 426 /* Subtract right augmented with extension from left augmented with zeros and 427 * store into result and extension. */ 428 #define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \ 429 Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \ 430 if( (Extall(extent) = 0-Extall(extent)) ) \ 431 { \ 432 if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \ 433 } 434 435 #define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \ 436 /* If the sum of the low words is less than either source, then \ 437 * an overflow into the next word occurred. */ \ 438 Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \ 439 if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \ 440 Dallp1(resulta)++ 441 442 #define Dbl_xortointp1(left,right,result) \ 443 result = Dallp1(left) XOR Dallp1(right) 444 445 #define Dbl_xorfromintp1(left,right,result) \ 446 Dallp1(result) = left XOR Dallp1(right) 447 448 #define Dbl_swap_lower(left,right) \ 449 Dallp2(left) = Dallp2(left) XOR Dallp2(right); \ 450 Dallp2(right) = Dallp2(left) XOR Dallp2(right); \ 451 Dallp2(left) = Dallp2(left) XOR Dallp2(right) 452 453 /* Need to Initialize */ 454 #define Dbl_makequietnan(desta,destb) \ 455 Dallp1(desta) = ((DBL_MAX_EXP+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 456 | (1<<(32-(1+DBL_EXP_LENGTH+2))); \ 457 Dallp2(destb) = 0 458 #define Dbl_makesignalingnan(desta,destb) \ 459 Dallp1(desta) = ((DBL_MAX_EXP+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 460 | (1<<(32-(1+DBL_EXP_LENGTH+1))); \ 461 Dallp2(destb) = 0 462 463 #define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \ 464 while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \ 465 Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \ 466 exponent -= 8; \ 467 } \ 468 if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \ 469 Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \ 470 exponent -= 4; \ 471 } \ 472 while(Dbl_iszero_hidden(dbl_opndA)) { \ 473 Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \ 474 exponent -= 1; \ 475 } 476 477 #define Twoword_add(src1dstA,src1dstB,src2A,src2B) \ 478 /* \ 479 * want this macro to generate: \ 480 * ADD src1dstB,src2B,src1dstB; \ 481 * ADDC src1dstA,src2A,src1dstA; \ 482 */ \ 483 if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \ 484 Dallp1(src1dstA) += (src2A); \ 485 Dallp2(src1dstB) += (src2B) 486 487 #define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \ 488 /* \ 489 * want this macro to generate: \ 490 * SUB src1dstB,src2B,src1dstB; \ 491 * SUBB src1dstA,src2A,src1dstA; \ 492 */ \ 493 if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \ 494 Dallp1(src1dstA) -= (src2A); \ 495 Dallp2(src1dstB) -= (src2B) 496 497 #define Dbl_setoverflow(resultA,resultB) \ 498 /* set result to infinity or largest number */ \ 499 switch (Rounding_mode()) { \ 500 case ROUNDPLUS: \ 501 if (Dbl_isone_sign(resultA)) { \ 502 Dbl_setlargestnegative(resultA,resultB); \ 503 } \ 504 else { \ 505 Dbl_setinfinitypositive(resultA,resultB); \ 506 } \ 507 break; \ 508 case ROUNDMINUS: \ 509 if (Dbl_iszero_sign(resultA)) { \ 510 Dbl_setlargestpositive(resultA,resultB); \ 511 } \ 512 else { \ 513 Dbl_setinfinitynegative(resultA,resultB); \ 514 } \ 515 break; \ 516 case ROUNDNEAREST: \ 517 Dbl_setinfinity_exponentmantissa(resultA,resultB); \ 518 break; \ 519 case ROUNDZERO: \ 520 Dbl_setlargest_exponentmantissa(resultA,resultB); \ 521 } 522 523 #define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \ 524 Dbl_clear_signexponent_set_hidden(opndp1); \ 525 if (exponent >= (1-DBL_P)) { \ 526 if (exponent >= -31) { \ 527 guard = (Dallp2(opndp2) >> (-(exponent))) & 1; \ 528 if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \ 529 if (exponent > -31) { \ 530 Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \ 531 Dallp1(opndp1) >>= 1-exponent; \ 532 } \ 533 else { \ 534 Dallp2(opndp2) = Dallp1(opndp1); \ 535 Dbl_setzerop1(opndp1); \ 536 } \ 537 } \ 538 else { \ 539 guard = (Dallp1(opndp1) >> (-32-(exponent))) & 1; \ 540 if (exponent == -32) sticky |= Dallp2(opndp2); \ 541 else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << (64+(exponent))); \ 542 Dallp2(opndp2) = Dallp1(opndp1) >> (-31-(exponent)); \ 543 Dbl_setzerop1(opndp1); \ 544 } \ 545 inexact = guard | sticky; \ 546 } \ 547 else { \ 548 guard = 0; \ 549 sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \ 550 Dbl_setzero(opndp1,opndp2); \ 551 inexact = sticky; \ 552 } 553 554 555 int dbl_fadd __P((dbl_floating_point *, dbl_floating_point*, dbl_floating_point*, unsigned int *)); 556 int dbl_fcmp __P((dbl_floating_point *, dbl_floating_point*, unsigned int, unsigned int *)); 557 int dbl_fdiv __P((dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *)); 558 int dbl_fmpy __P((dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *)); 559 int dbl_frem __P((dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *)); 560 int dbl_fsqrt __P((dbl_floating_point *, dbl_floating_point *, unsigned int *)); 561 int dbl_fsub __P((dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *)); 562 563 dbl_floating_point dbl_setoverflow __P((unsigned int)); 564 565 int sgl_to_dbl_fcnvff __P((sgl_floating_point *, dbl_floating_point *, unsigned int *)); 566 int dbl_to_sgl_fcnvff __P((dbl_floating_point *, sgl_floating_point *, unsigned int *)); 567 568 int dbl_frnd __P((dbl_floating_point *, dbl_floating_point *, unsigned int *)); 569