1 /* $OpenBSD: dbl_float.h,v 1.13 2021/03/11 11:16:57 jsg Exp $ */ 2 /* 3 (c) Copyright 1986 HEWLETT-PACKARD COMPANY 4 To anyone who acknowledges that this file is provided "AS IS" 5 without any express or implied warranty: 6 permission to use, copy, modify, and distribute this file 7 for any purpose is hereby granted without fee, provided that 8 the above copyright notice and this notice appears in all 9 copies, and that the name of Hewlett-Packard Company not be 10 used in advertising or publicity pertaining to distribution 11 of the software without specific, written prior permission. 12 Hewlett-Packard Company makes no representations about the 13 suitability of this software for any purpose. 14 */ 15 /* @(#)dbl_float.h: Revision: 2.9.88.1 Date: 93/12/07 15:05:32 */ 16 17 /************************************** 18 * Declare double precision functions * 19 **************************************/ 20 21 /* 32-bit word grabbing functions */ 22 #define Dbl_firstword(value) Dallp1(value) 23 #define Dbl_secondword(value) Dallp2(value) 24 #define Dbl_thirdword(value) dummy_location 25 #define Dbl_fourthword(value) dummy_location 26 27 #define Dbl_sign(object) Dsign(object) 28 #define Dbl_exponent(object) Dexponent(object) 29 #define Dbl_signexponent(object) Dsignexponent(object) 30 #define Dbl_mantissap1(object) Dmantissap1(object) 31 #define Dbl_mantissap2(object) Dmantissap2(object) 32 #define Dbl_exponentmantissap1(object) Dexponentmantissap1(object) 33 #define Dbl_allp1(object) Dallp1(object) 34 #define Dbl_allp2(object) Dallp2(object) 35 36 /* dbl_and_signs ands the sign bits of each argument and puts the result 37 * into the first argument. dbl_or_signs ors those same sign bits */ 38 #define Dbl_and_signs( src1dst, src2) \ 39 Dallp1(src1dst) = (Dallp1(src2)|~(1<<31)) & Dallp1(src1dst) 40 #define Dbl_or_signs( src1dst, src2) \ 41 Dallp1(src1dst) = (Dallp1(src2)&(1<<31)) | Dallp1(src1dst) 42 43 /* The hidden bit is always the low bit of the exponent */ 44 #define Dbl_clear_exponent_set_hidden(srcdst) Deposit_dexponent(srcdst,1) 45 #define Dbl_clear_signexponent_set_hidden(srcdst) \ 46 Deposit_dsignexponent(srcdst,1) 47 #define Dbl_clear_sign(srcdst) Dallp1(srcdst) &= ~(1<<31) 48 #define Dbl_clear_signexponent(srcdst) \ 49 Dallp1(srcdst) &= Dmantissap1((unsigned)-1) 50 51 /* Exponent field for doubles has already been cleared and may be 52 * included in the shift. Here we need to generate two double width 53 * variable shifts. The insignificant bits can be ignored. 54 * MTSAR f(varamount) 55 * VSHD srcdst.high,srcdst.low => srcdst.low 56 * VSHD 0,srcdst.high => srcdst.high 57 * This is very difficult to model with C expressions since the shift amount 58 * could exceed 32. */ 59 /* varamount must be less than 64 */ 60 #define Dbl_rightshift(srcdstA, srcdstB, varamount) \ 61 {if((varamount) >= 32) { \ 62 Dallp2(srcdstB) = Dallp1(srcdstA) >> (varamount-32); \ 63 Dallp1(srcdstA)=0; \ 64 } \ 65 else if(varamount > 0) { \ 66 Variable_shift_double(Dallp1(srcdstA), Dallp2(srcdstB), \ 67 (varamount), Dallp2(srcdstB)); \ 68 Dallp1(srcdstA) >>= varamount; \ 69 } } 70 /* varamount must be less than 64 */ 71 #define Dbl_rightshift_exponentmantissa(srcdstA, srcdstB, varamount) \ 72 {if((varamount) >= 32) { \ 73 Dallp2(srcdstB) = Dexponentmantissap1(srcdstA) >> ((varamount)-32); \ 74 Dallp1(srcdstA) &= (1<<31); /* clear exponentmantissa field */ \ 75 } \ 76 else if(varamount > 0) { \ 77 Variable_shift_double(Dexponentmantissap1(srcdstA), Dallp2(srcdstB), \ 78 (varamount), Dallp2(srcdstB)); \ 79 Deposit_dexponentmantissap1(srcdstA, \ 80 (Dexponentmantissap1(srcdstA)>>(varamount))); \ 81 } } 82 /* varamount must be less than 64 */ 83 #define Dbl_leftshift(srcdstA, srcdstB, varamount) \ 84 {if((varamount) >= 32) { \ 85 Dallp1(srcdstA) = Dallp2(srcdstB) << (varamount-32); \ 86 Dallp2(srcdstB)=0; \ 87 } \ 88 else { \ 89 if ((varamount) > 0) { \ 90 Dallp1(srcdstA) = (Dallp1(srcdstA) << (varamount)) | \ 91 (Dallp2(srcdstB) >> (32-(varamount))); \ 92 Dallp2(srcdstB) <<= varamount; \ 93 } \ 94 } } 95 #define Dbl_leftshiftby1_withextent(lefta,leftb,right,resulta,resultb) \ 96 Shiftdouble(Dallp1(lefta), Dallp2(leftb), 31, Dallp1(resulta)); \ 97 Shiftdouble(Dallp2(leftb), Extall(right), 31, Dallp2(resultb)) 98 99 #define Dbl_rightshiftby1_withextent(leftb,right,dst) \ 100 Extall(dst) = (Dallp2(leftb) << 31) | ((unsigned)Extall(right) >> 1) | \ 101 Extlow(right) 102 103 #define Dbl_arithrightshiftby1(srcdstA,srcdstB) \ 104 Shiftdouble(Dallp1(srcdstA),Dallp2(srcdstB),1,Dallp2(srcdstB));\ 105 Dallp1(srcdstA) = (int)Dallp1(srcdstA) >> 1 106 107 /* Sign extend the sign bit with an integer destination */ 108 #define Dbl_signextendedsign(value) Dsignedsign(value) 109 110 #define Dbl_isone_hidden(dbl_value) (Is_dhidden(dbl_value)!=0) 111 /* Singles and doubles may include the sign and exponent fields. The 112 * hidden bit and the hidden overflow must be included. */ 113 #define Dbl_increment(dbl_valueA,dbl_valueB) \ 114 if( (Dallp2(dbl_valueB) += 1) == 0 ) Dallp1(dbl_valueA) += 1 115 #define Dbl_increment_mantissa(dbl_valueA,dbl_valueB) \ 116 if( (Dmantissap2(dbl_valueB) += 1) == 0 ) \ 117 Deposit_dmantissap1(dbl_valueA,dbl_valueA+1) 118 #define Dbl_decrement(dbl_valueA,dbl_valueB) \ 119 if( Dallp2(dbl_valueB) == 0 ) Dallp1(dbl_valueA) -= 1; \ 120 Dallp2(dbl_valueB) -= 1 121 122 #define Dbl_isone_sign(dbl_value) (Is_dsign(dbl_value)!=0) 123 #define Dbl_isone_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)!=0) 124 #define Dbl_isone_lowmantissap1(dbl_valueA) (Is_dlowp1(dbl_valueA)!=0) 125 #define Dbl_isone_lowmantissap2(dbl_valueB) (Is_dlowp2(dbl_valueB)!=0) 126 #define Dbl_isone_signaling(dbl_value) (Is_dsignaling(dbl_value)!=0) 127 #define Dbl_is_signalingnan(dbl_value) (Dsignalingnan(dbl_value)==0xfff) 128 #define Dbl_isnotzero(dbl_valueA,dbl_valueB) \ 129 (Dallp1(dbl_valueA) || Dallp2(dbl_valueB)) 130 #define Dbl_isnotzero_hiddenhigh7mantissa(dbl_value) \ 131 (Dhiddenhigh7mantissa(dbl_value)!=0) 132 #define Dbl_isnotzero_exponent(dbl_value) (Dexponent(dbl_value)!=0) 133 #define Dbl_isnotzero_mantissa(dbl_valueA,dbl_valueB) \ 134 (Dmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 135 #define Dbl_isnotzero_mantissap1(dbl_valueA) (Dmantissap1(dbl_valueA)!=0) 136 #define Dbl_isnotzero_mantissap2(dbl_valueB) (Dmantissap2(dbl_valueB)!=0) 137 #define Dbl_isnotzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 138 (Dexponentmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 139 #define Dbl_isnotzero_low4p2(dbl_value) (Dlow4p2(dbl_value)!=0) 140 #define Dbl_iszero(dbl_valueA,dbl_valueB) (Dallp1(dbl_valueA)==0 && \ 141 Dallp2(dbl_valueB)==0) 142 #define Dbl_iszero_allp1(dbl_value) (Dallp1(dbl_value)==0) 143 #define Dbl_iszero_allp2(dbl_value) (Dallp2(dbl_value)==0) 144 #define Dbl_iszero_hidden(dbl_value) (Is_dhidden(dbl_value)==0) 145 #define Dbl_iszero_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)==0) 146 #define Dbl_iszero_hiddenhigh3mantissa(dbl_value) \ 147 (Dhiddenhigh3mantissa(dbl_value)==0) 148 #define Dbl_iszero_hiddenhigh7mantissa(dbl_value) \ 149 (Dhiddenhigh7mantissa(dbl_value)==0) 150 #define Dbl_iszero_sign(dbl_value) (Is_dsign(dbl_value)==0) 151 #define Dbl_iszero_exponent(dbl_value) (Dexponent(dbl_value)==0) 152 #define Dbl_iszero_mantissa(dbl_valueA,dbl_valueB) \ 153 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 154 #define Dbl_iszero_exponentmantissa(dbl_valueA,dbl_valueB) \ 155 (Dexponentmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 156 #define Dbl_isinfinity_exponent(dbl_value) \ 157 (Dexponent(dbl_value)==DBL_INFINITY_EXPONENT) 158 #define Dbl_isnotinfinity_exponent(dbl_value) \ 159 (Dexponent(dbl_value)!=DBL_INFINITY_EXPONENT) 160 #define Dbl_isinfinity(dbl_valueA,dbl_valueB) \ 161 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 162 Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 163 #define Dbl_isnan(dbl_valueA,dbl_valueB) \ 164 (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 165 (Dmantissap1(dbl_valueA)!=0 || Dmantissap2(dbl_valueB)!=0)) 166 #define Dbl_isnotnan(dbl_valueA,dbl_valueB) \ 167 (Dexponent(dbl_valueA)!=DBL_INFINITY_EXPONENT || \ 168 (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)) 169 170 #define Dbl_islessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 171 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 172 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 173 Dallp2(dbl_op1b) < Dallp2(dbl_op2b))) 174 #define Dbl_isgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 175 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 176 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 177 Dallp2(dbl_op1b) > Dallp2(dbl_op2b))) 178 #define Dbl_isnotlessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 179 (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 180 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 181 Dallp2(dbl_op1b) >= Dallp2(dbl_op2b))) 182 #define Dbl_isnotgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 183 (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 184 (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 185 Dallp2(dbl_op1b) <= Dallp2(dbl_op2b))) 186 #define Dbl_isequal(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 187 ((Dallp1(dbl_op1a) == Dallp1(dbl_op2a)) && \ 188 (Dallp2(dbl_op1b) == Dallp2(dbl_op2b))) 189 190 #define Dbl_leftshiftby8(dbl_valueA,dbl_valueB) \ 191 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),24,Dallp1(dbl_valueA)); \ 192 Dallp2(dbl_valueB) <<= 8 193 #define Dbl_leftshiftby7(dbl_valueA,dbl_valueB) \ 194 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),25,Dallp1(dbl_valueA)); \ 195 Dallp2(dbl_valueB) <<= 7 196 #define Dbl_leftshiftby4(dbl_valueA,dbl_valueB) \ 197 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),28,Dallp1(dbl_valueA)); \ 198 Dallp2(dbl_valueB) <<= 4 199 #define Dbl_leftshiftby3(dbl_valueA,dbl_valueB) \ 200 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),29,Dallp1(dbl_valueA)); \ 201 Dallp2(dbl_valueB) <<= 3 202 #define Dbl_leftshiftby2(dbl_valueA,dbl_valueB) \ 203 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),30,Dallp1(dbl_valueA)); \ 204 Dallp2(dbl_valueB) <<= 2 205 #define Dbl_leftshiftby1(dbl_valueA,dbl_valueB) \ 206 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),31,Dallp1(dbl_valueA)); \ 207 Dallp2(dbl_valueB) <<= 1 208 209 #define Dbl_rightshiftby8(dbl_valueA,dbl_valueB) \ 210 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),8,Dallp2(dbl_valueB)); \ 211 Dallp1(dbl_valueA) >>= 8 212 #define Dbl_rightshiftby4(dbl_valueA,dbl_valueB) \ 213 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),4,Dallp2(dbl_valueB)); \ 214 Dallp1(dbl_valueA) >>= 4 215 #define Dbl_rightshiftby2(dbl_valueA,dbl_valueB) \ 216 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),2,Dallp2(dbl_valueB)); \ 217 Dallp1(dbl_valueA) >>= 2 218 #define Dbl_rightshiftby1(dbl_valueA,dbl_valueB) \ 219 Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),1,Dallp2(dbl_valueB)); \ 220 Dallp1(dbl_valueA) >>= 1 221 222 /* This magnitude comparison uses the signless first words and 223 * the regular part2 words. The comparison is graphically: 224 * 225 * 1st greater? ------------- 226 * | 227 * 1st less?-----------------+--------- 228 * | | 229 * 2nd greater or equal----->| | 230 * False True 231 */ 232 #define Dbl_ismagnitudeless(leftB,rightB,signlessleft,signlessright) \ 233 ((signlessleft <= signlessright) && \ 234 ( (signlessleft < signlessright) || (Dallp2(leftB)<Dallp2(rightB)) )) 235 236 #define Dbl_copytoint_exponentmantissap1(src,dest) \ 237 dest = Dexponentmantissap1(src) 238 239 /* A quiet NaN has the high mantissa bit clear and at least on other (in this 240 * case the adjacent bit) bit set. */ 241 #define Dbl_set_quiet(dbl_value) Deposit_dhigh2mantissa(dbl_value,1) 242 #define Dbl_set_exponent(dbl_value, exp) Deposit_dexponent(dbl_value,exp) 243 244 #define Dbl_set_mantissa(desta,destb,valuea,valueb) \ 245 Deposit_dmantissap1(desta,valuea); \ 246 Dmantissap2(destb) = Dmantissap2(valueb) 247 #define Dbl_set_mantissap1(desta,valuea) \ 248 Deposit_dmantissap1(desta,valuea) 249 #define Dbl_set_mantissap2(destb,valueb) \ 250 Dmantissap2(destb) = Dmantissap2(valueb) 251 252 #define Dbl_set_exponentmantissa(desta,destb,valuea,valueb) \ 253 Deposit_dexponentmantissap1(desta,valuea); \ 254 Dmantissap2(destb) = Dmantissap2(valueb) 255 #define Dbl_set_exponentmantissap1(dest,value) \ 256 Deposit_dexponentmantissap1(dest,value) 257 258 #define Dbl_copyfromptr(src,desta,destb) \ 259 Dallp1(desta) = src->wd0; \ 260 Dallp2(destb) = src->wd1 261 #define Dbl_copytoptr(srca,srcb,dest) \ 262 dest->wd0 = Dallp1(srca); \ 263 dest->wd1 = Dallp2(srcb) 264 265 /* An infinity is represented with the max exponent and a zero mantissa */ 266 #define Dbl_setinfinity_exponent(dbl_value) \ 267 Deposit_dexponent(dbl_value,DBL_INFINITY_EXPONENT) 268 #define Dbl_setinfinity_exponentmantissa(dbl_valueA,dbl_valueB) \ 269 Deposit_dexponentmantissap1(dbl_valueA, \ 270 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH)))); \ 271 Dmantissap2(dbl_valueB) = 0 272 #define Dbl_setinfinitypositive(dbl_valueA,dbl_valueB) \ 273 Dallp1(dbl_valueA) \ 274 = (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 275 Dmantissap2(dbl_valueB) = 0 276 #define Dbl_setinfinitynegative(dbl_valueA,dbl_valueB) \ 277 Dallp1(dbl_valueA) = (1<<31) | \ 278 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 279 Dmantissap2(dbl_valueB) = 0 280 #define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \ 281 Dallp1(dbl_valueA) = (sign << 31) | \ 282 (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 283 Dmantissap2(dbl_valueB) = 0 284 285 #define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign) 286 #define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign) 287 #define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value)) 288 #define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1) 289 #define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1) 290 #define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff 291 #define Dbl_setzero_exponent(dbl_value) \ 292 Dallp1(dbl_value) &= 0x800fffff 293 #define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \ 294 Dallp1(dbl_valueA) &= 0xfff00000; \ 295 Dallp2(dbl_valueB) = 0 296 #define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000 297 #define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0 298 #define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 299 Dallp1(dbl_valueA) &= 0x80000000; \ 300 Dallp2(dbl_valueB) = 0 301 #define Dbl_setzero_exponentmantissap1(dbl_valueA) \ 302 Dallp1(dbl_valueA) &= 0x80000000 303 #define Dbl_setzero(dbl_valueA,dbl_valueB) \ 304 Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0 305 #define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0 306 #define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0 307 #define Dbl_setnegativezero(dbl_value) \ 308 Dallp1(dbl_value) = 1U << 31; Dallp2(dbl_value) = 0 309 #define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = 1U << 31 310 311 /* Use the following macro for both overflow & underflow conditions */ 312 #define ovfl - 313 #define unfl + 314 #define Dbl_setwrapped_exponent(dbl_value,exponent,op) \ 315 Deposit_dexponent(dbl_value,(exponent op DBL_WRAP)) 316 317 #define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \ 318 Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 319 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \ 320 Dallp2(dbl_valueB) = 0xFFFFFFFF 321 #define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \ 322 Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 323 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) | (1<<31); \ 324 Dallp2(dbl_valueB) = 0xFFFFFFFF 325 #define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \ 326 Deposit_dexponentmantissap1(dbl_valueA, \ 327 (((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 328 | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \ 329 Dallp2(dbl_valueB) = 0xFFFFFFFF 330 331 #define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \ 332 Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \ 333 << (32-(1+DBL_EXP_LENGTH)) ; \ 334 Dallp2(dbl_valueB) = 0 335 #define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \ 336 Dallp1(dbl_valueA) = (sign << 31) | \ 337 ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \ 338 ((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \ 339 Dallp2(dbl_valueB) = 0xFFFFFFFF 340 341 342 /* The high bit is always zero so arithmetic or logical shifts will work. */ 343 #define Dbl_right_align(srcdstA,srcdstB,shift,extent) \ 344 if( shift >= 32 ) \ 345 { \ 346 /* Big shift requires examining the portion shift off \ 347 the end to properly set inexact. */ \ 348 if(shift < 64) \ 349 { \ 350 if(shift > 32) \ 351 { \ 352 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \ 353 shift-32, Extall(extent)); \ 354 if(Dallp2(srcdstB) << (64 - (shift))) Ext_setone_low(extent); \ 355 } \ 356 else Extall(extent) = Dallp2(srcdstB); \ 357 Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \ 358 } \ 359 else \ 360 { \ 361 Extall(extent) = Dallp1(srcdstA); \ 362 if(Dallp2(srcdstB)) Ext_setone_low(extent); \ 363 Dallp2(srcdstB) = 0; \ 364 } \ 365 Dallp1(srcdstA) = 0; \ 366 } \ 367 else \ 368 { \ 369 /* Small alignment is simpler. Extension is easily set. */ \ 370 if (shift > 0) \ 371 { \ 372 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 373 Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \ 374 Dallp2(srcdstB)); \ 375 Dallp1(srcdstA) >>= shift; \ 376 } \ 377 else Extall(extent) = 0; \ 378 } 379 380 /* 381 * Here we need to shift the result right to correct for an overshift 382 * (due to the exponent becoming negative) during normalization. 383 */ 384 #define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \ 385 Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 386 Dallp2(srcdstB) = (Dallp1(srcdstA) << (32 - (shift))) | \ 387 (Dallp2(srcdstB) >> (shift)); \ 388 Dallp1(srcdstA) = Dallp1(srcdstA) >> shift 389 390 #define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value) 391 #define Dbl_hidden(dbl_value) Dhidden(dbl_value) 392 #define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value) 393 394 /* The left argument is never smaller than the right argument */ 395 #define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \ 396 if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \ 397 Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \ 398 Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta) 399 400 /* Subtract right augmented with extension from left augmented with zeros and 401 * store into result and extension. */ 402 #define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \ 403 Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \ 404 if( (Extall(extent) = 0-Extall(extent)) ) \ 405 { \ 406 if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \ 407 } 408 409 #define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \ 410 /* If the sum of the low words is less than either source, then \ 411 * an overflow into the next word occurred. */ \ 412 Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \ 413 if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \ 414 Dallp1(resulta)++ 415 416 #define Dbl_xortointp1(left,right,result) \ 417 result = Dallp1(left) XOR Dallp1(right) 418 419 #define Dbl_xorfromintp1(left,right,result) \ 420 Dallp1(result) = left XOR Dallp1(right) 421 422 #define Dbl_swap_lower(left,right) \ 423 Dallp2(left) = Dallp2(left) XOR Dallp2(right); \ 424 Dallp2(right) = Dallp2(left) XOR Dallp2(right); \ 425 Dallp2(left) = Dallp2(left) XOR Dallp2(right) 426 427 /* Need to Initialize */ 428 #define Dbl_makequietnan(desta,destb) \ 429 Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 430 | (1<<(32-(1+DBL_EXP_LENGTH+2))); \ 431 Dallp2(destb) = 0 432 #define Dbl_makesignalingnan(desta,destb) \ 433 Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 434 | (1<<(32-(1+DBL_EXP_LENGTH+1))); \ 435 Dallp2(destb) = 0 436 437 #define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \ 438 while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \ 439 Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \ 440 exponent -= 8; \ 441 } \ 442 if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \ 443 Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \ 444 exponent -= 4; \ 445 } \ 446 while(Dbl_iszero_hidden(dbl_opndA)) { \ 447 Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \ 448 exponent -= 1; \ 449 } 450 451 #define Twoword_add(src1dstA,src1dstB,src2A,src2B) \ 452 /* \ 453 * want this macro to generate: \ 454 * ADD src1dstB,src2B,src1dstB; \ 455 * ADDC src1dstA,src2A,src1dstA; \ 456 */ \ 457 if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \ 458 Dallp1(src1dstA) += (src2A); \ 459 Dallp2(src1dstB) += (src2B) 460 461 #define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \ 462 /* \ 463 * want this macro to generate: \ 464 * SUB src1dstB,src2B,src1dstB; \ 465 * SUBB src1dstA,src2A,src1dstA; \ 466 */ \ 467 if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \ 468 Dallp1(src1dstA) -= (src2A); \ 469 Dallp2(src1dstB) -= (src2B) 470 471 #define Dbl_setoverflow(resultA,resultB) \ 472 /* set result to infinity or largest number */ \ 473 switch (Rounding_mode()) { \ 474 case ROUNDPLUS: \ 475 if (Dbl_isone_sign(resultA)) { \ 476 Dbl_setlargestnegative(resultA,resultB); \ 477 } \ 478 else { \ 479 Dbl_setinfinitypositive(resultA,resultB); \ 480 } \ 481 break; \ 482 case ROUNDMINUS: \ 483 if (Dbl_iszero_sign(resultA)) { \ 484 Dbl_setlargestpositive(resultA,resultB); \ 485 } \ 486 else { \ 487 Dbl_setinfinitynegative(resultA,resultB); \ 488 } \ 489 break; \ 490 case ROUNDNEAREST: \ 491 Dbl_setinfinity_exponentmantissa(resultA,resultB); \ 492 break; \ 493 case ROUNDZERO: \ 494 Dbl_setlargest_exponentmantissa(resultA,resultB); \ 495 } 496 497 #define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \ 498 Dbl_clear_signexponent_set_hidden(opndp1); \ 499 if (exponent >= (1-DBL_P)) { \ 500 if (exponent >= -31) { \ 501 guard = (Dallp2(opndp2) >> (-(exponent))) & 1; \ 502 if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \ 503 if (exponent > -31) { \ 504 Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \ 505 Dallp1(opndp1) >>= 1-exponent; \ 506 } \ 507 else { \ 508 Dallp2(opndp2) = Dallp1(opndp1); \ 509 Dbl_setzerop1(opndp1); \ 510 } \ 511 } \ 512 else { \ 513 guard = (Dallp1(opndp1) >> (-32-(exponent))) & 1; \ 514 if (exponent == -32) sticky |= Dallp2(opndp2); \ 515 else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << (64+(exponent))); \ 516 Dallp2(opndp2) = Dallp1(opndp1) >> (-31-(exponent)); \ 517 Dbl_setzerop1(opndp1); \ 518 } \ 519 inexact = guard | sticky; \ 520 } \ 521 else { \ 522 guard = 0; \ 523 sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \ 524 Dbl_setzero(opndp1,opndp2); \ 525 inexact = sticky; \ 526 } 527 528 529 int dbl_fadd(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 530 int dbl_fcmp(dbl_floating_point *, dbl_floating_point *, unsigned int, unsigned int *); 531 int dbl_fdiv(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 532 int dbl_fmpy(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 533 int dbl_frem(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 534 int dbl_fsqrt(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 535 int dbl_fsub(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 536 537 int sgl_to_dbl_fcnvff(sgl_floating_point *, sgl_floating_point *, dbl_floating_point *, unsigned int *); 538 int dbl_to_sgl_fcnvff(dbl_floating_point *, dbl_floating_point *, sgl_floating_point *, unsigned int *); 539 540 int dbl_frnd(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 541