1 1.4 andvar /* $NetBSD: dbl_float.h,v 1.4 2022/05/28 22:08:47 andvar Exp $ */ 2 1.1 fredette 3 1.3 skrll /* $OpenBSD: dbl_float.h,v 1.10 2004/01/02 14:39:01 mickey Exp $ */ 4 1.1 fredette 5 1.1 fredette /* 6 1.1 fredette * Copyright 1996 1995 by Open Software Foundation, Inc. 7 1.1 fredette * All Rights Reserved 8 1.1 fredette * 9 1.1 fredette * Permission to use, copy, modify, and distribute this software and 10 1.1 fredette * its documentation for any purpose and without fee is hereby granted, 11 1.1 fredette * provided that the above copyright notice appears in all copies and 12 1.1 fredette * that both the copyright notice and this permission notice appear in 13 1.1 fredette * supporting documentation. 14 1.1 fredette * 15 1.1 fredette * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE 16 1.1 fredette * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 17 1.1 fredette * FOR A PARTICULAR PURPOSE. 18 1.1 fredette * 19 1.1 fredette * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR 20 1.1 fredette * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM 21 1.1 fredette * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT, 22 1.1 fredette * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION 23 1.1 fredette * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 24 1.1 fredette */ 25 1.1 fredette /* 26 1.1 fredette * pmk1.1 27 1.1 fredette */ 28 1.1 fredette /* 29 1.1 fredette * (c) Copyright 1986 HEWLETT-PACKARD COMPANY 30 1.1 fredette * 31 1.1 fredette * To anyone who acknowledges that this file is provided "AS IS" 32 1.1 fredette * without any express or implied warranty: 33 1.1 fredette * permission to use, copy, modify, and distribute this file 34 1.1 fredette * for any purpose is hereby granted without fee, provided that 35 1.1 fredette * the above copyright notice and this notice appears in all 36 1.1 fredette * copies, and that the name of Hewlett-Packard Company not be 37 1.1 fredette * used in advertising or publicity pertaining to distribution 38 1.1 fredette * of the software without specific, written prior permission. 39 1.1 fredette * Hewlett-Packard Company makes no representations about the 40 1.1 fredette * suitability of this software for any purpose. 41 1.1 fredette */ 42 1.1 fredette 43 1.1 fredette #include <sys/cdefs.h> 44 1.1 fredette 45 1.1 fredette /************************************** 46 1.1 fredette * Declare double precision functions * 47 1.1 fredette **************************************/ 48 1.1 fredette 49 1.4 andvar /* 32-bit word grabbing functions */ 50 1.1 fredette #define Dbl_firstword(value) Dallp1(value) 51 1.1 fredette #define Dbl_secondword(value) Dallp2(value) 52 1.1 fredette #define Dbl_thirdword(value) dummy_location 53 1.1 fredette #define Dbl_fourthword(value) dummy_location 54 1.1 fredette 55 1.1 fredette #define Dbl_sign(object) Dsign(object) 56 1.1 fredette #define Dbl_exponent(object) Dexponent(object) 57 1.1 fredette #define Dbl_signexponent(object) Dsignexponent(object) 58 1.1 fredette #define Dbl_mantissap1(object) Dmantissap1(object) 59 1.1 fredette #define Dbl_mantissap2(object) Dmantissap2(object) 60 1.1 fredette #define Dbl_exponentmantissap1(object) Dexponentmantissap1(object) 61 1.1 fredette #define Dbl_allp1(object) Dallp1(object) 62 1.1 fredette #define Dbl_allp2(object) Dallp2(object) 63 1.1 fredette 64 1.1 fredette /* dbl_and_signs ands the sign bits of each argument and puts the result 65 1.1 fredette * into the first argument. dbl_or_signs ors those same sign bits */ 66 1.1 fredette #define Dbl_and_signs( src1dst, src2) \ 67 1.1 fredette Dallp1(src1dst) = (Dallp1(src2)|~(1<<31)) & Dallp1(src1dst) 68 1.1 fredette #define Dbl_or_signs( src1dst, src2) \ 69 1.1 fredette Dallp1(src1dst) = (Dallp1(src2)&(1<<31)) | Dallp1(src1dst) 70 1.1 fredette 71 1.1 fredette /* The hidden bit is always the low bit of the exponent */ 72 1.1 fredette #define Dbl_clear_exponent_set_hidden(srcdst) Deposit_dexponent(srcdst,1) 73 1.1 fredette #define Dbl_clear_signexponent_set_hidden(srcdst) \ 74 1.1 fredette Deposit_dsignexponent(srcdst,1) 75 1.1 fredette #define Dbl_clear_sign(srcdst) Dallp1(srcdst) &= ~(1<<31) 76 1.1 fredette #define Dbl_clear_signexponent(srcdst) \ 77 1.1 fredette Dallp1(srcdst) &= Dmantissap1((unsigned)-1) 78 1.1 fredette 79 1.1 fredette /* Exponent field for doubles has already been cleared and may be 80 1.1 fredette * included in the shift. Here we need to generate two double width 81 1.1 fredette * variable shifts. The insignificant bits can be ignored. 82 1.1 fredette * MTSAR f(varamount) 83 1.1 fredette * VSHD srcdst.high,srcdst.low => srcdst.low 84 1.1 fredette * VSHD 0,srcdst.high => srcdst.high 85 1.1 fredette * This is very difficult to model with C expressions since the shift amount 86 1.1 fredette * could exceed 32. */ 87 1.1 fredette /* varamount must be less than 64 */ 88 1.1 fredette #define Dbl_rightshift(srcdstA, srcdstB, varamount) \ 89 1.1 fredette {if((varamount) >= 32) { \ 90 1.1 fredette Dallp2(srcdstB) = Dallp1(srcdstA) >> (varamount-32); \ 91 1.1 fredette Dallp1(srcdstA)=0; \ 92 1.1 fredette } \ 93 1.1 fredette else if(varamount > 0) { \ 94 1.1 fredette Variable_shift_double(Dallp1(srcdstA), Dallp2(srcdstB), \ 95 1.1 fredette (varamount), Dallp2(srcdstB)); \ 96 1.1 fredette Dallp1(srcdstA) >>= varamount; \ 97 1.1 fredette } } 98 1.1 fredette /* varamount must be less than 64 */ 99 1.1 fredette #define Dbl_rightshift_exponentmantissa(srcdstA, srcdstB, varamount) \ 100 1.1 fredette {if((varamount) >= 32) { \ 101 1.1 fredette Dallp2(srcdstB) = Dexponentmantissap1(srcdstA) >> ((varamount)-32); \ 102 1.1 fredette Dallp1(srcdstA) &= (1<<31); /* clear exponentmantissa field */ \ 103 1.1 fredette } \ 104 1.1 fredette else if(varamount > 0) { \ 105 1.1 fredette Variable_shift_double(Dexponentmantissap1(srcdstA), Dallp2(srcdstB), \ 106 1.1 fredette (varamount), Dallp2(srcdstB)); \ 107 1.1 fredette Deposit_dexponentmantissap1(srcdstA, \ 108 1.1 fredette (Dexponentmantissap1(srcdstA)>>(varamount))); \ 109 1.1 fredette } } 110 1.1 fredette /* varamount must be less than 64 */ 111 1.1 fredette #define Dbl_leftshift(srcdstA, srcdstB, varamount) \ 112 1.1 fredette {if((varamount) >= 32) { \ 113 1.1 fredette Dallp1(srcdstA) = Dallp2(srcdstB) << (varamount-32); \ 114 1.1 fredette Dallp2(srcdstB)=0; \ 115 1.1 fredette } \ 116 1.1 fredette else { \ 117 1.1 fredette if ((varamount) > 0) { \ 118 1.1 fredette Dallp1(srcdstA) = (Dallp1(srcdstA) << (varamount)) | \ 119 1.1 fredette (Dallp2(srcdstB) >> (32-(varamount))); \ 120 1.1 fredette Dallp2(srcdstB) <<= varamount; \ 121 1.1 fredette } \ 122 1.1 fredette } } 123 1.1 fredette #define Dbl_leftshiftby1_withextent(lefta,leftb,right,resulta,resultb) \ 124 1.1 fredette Shiftdouble(Dallp1(lefta), Dallp2(leftb), 31, Dallp1(resulta)); \ 125 1.1 fredette Shiftdouble(Dallp2(leftb), Extall(right), 31, Dallp2(resultb)) 126 1.1 fredette 127 1.1 fredette #define Dbl_rightshiftby1_withextent(leftb,right,dst) \ 128 1.1 fredette Extall(dst) = (Dallp2(leftb) << 31) | ((unsigned)Extall(right) >> 1) | \ 129 1.1 fredette Extlow(right) 130 1.1 fredette 131 1.1 fredette #define Dbl_arithrightshiftby1(srcdstA,srcdstB) \ 132 1.1 fredette Shiftdouble(Dallp1(srcdstA),Dallp2(srcdstB),1,Dallp2(srcdstB));\ 133 1.1 fredette Dallp1(srcdstA) = (int)Dallp1(srcdstA) >> 1 134 1.1 fredette 135 1.1 fredette /* Sign extend the sign bit with an integer destination */ 136 1.1 fredette #define Dbl_signextendedsign(value) Dsignedsign(value) 137 1.1 fredette 138 1.1 fredette #define Dbl_isone_hidden(dbl_value) (Is_dhidden(dbl_value)!=0) 139 1.1 fredette /* Singles and doubles may include the sign and exponent fields. The 140 1.1 fredette * hidden bit and the hidden overflow must be included. */ 141 1.1 fredette #define Dbl_increment(dbl_valueA,dbl_valueB) \ 142 1.1 fredette if( (Dallp2(dbl_valueB) += 1) == 0 ) Dallp1(dbl_valueA) += 1 143 1.1 fredette #define Dbl_increment_mantissa(dbl_valueA,dbl_valueB) \ 144 1.1 fredette if( (Dmantissap2(dbl_valueB) += 1) == 0 ) \ 145 1.1 fredette Deposit_dmantissap1(dbl_valueA,dbl_valueA+1) 146 1.1 fredette #define Dbl_decrement(dbl_valueA,dbl_valueB) \ 147 1.1 fredette if( Dallp2(dbl_valueB) == 0 ) Dallp1(dbl_valueA) -= 1; \ 148 1.1 fredette Dallp2(dbl_valueB) -= 1 149 1.1 fredette 150 1.1 fredette #define Dbl_isone_sign(dbl_value) (Is_dsign(dbl_value)!=0) 151 1.1 fredette #define Dbl_isone_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)!=0) 152 1.1 fredette #define Dbl_isone_lowmantissap1(dbl_valueA) (Is_dlowp1(dbl_valueA)!=0) 153 1.1 fredette #define Dbl_isone_lowmantissap2(dbl_valueB) (Is_dlowp2(dbl_valueB)!=0) 154 1.1 fredette #define Dbl_isone_signaling(dbl_value) (Is_dsignaling(dbl_value)!=0) 155 1.1 fredette #define Dbl_is_signalingnan(dbl_value) (Dsignalingnan(dbl_value)==0xfff) 156 1.1 fredette #define Dbl_isnotzero(dbl_valueA,dbl_valueB) \ 157 1.1 fredette (Dallp1(dbl_valueA) || Dallp2(dbl_valueB)) 158 1.1 fredette #define Dbl_isnotzero_hiddenhigh7mantissa(dbl_value) \ 159 1.1 fredette (Dhiddenhigh7mantissa(dbl_value)!=0) 160 1.1 fredette #define Dbl_isnotzero_exponent(dbl_value) (Dexponent(dbl_value)!=0) 161 1.1 fredette #define Dbl_isnotzero_mantissa(dbl_valueA,dbl_valueB) \ 162 1.1 fredette (Dmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 163 1.1 fredette #define Dbl_isnotzero_mantissap1(dbl_valueA) (Dmantissap1(dbl_valueA)!=0) 164 1.1 fredette #define Dbl_isnotzero_mantissap2(dbl_valueB) (Dmantissap2(dbl_valueB)!=0) 165 1.1 fredette #define Dbl_isnotzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 166 1.1 fredette (Dexponentmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB)) 167 1.1 fredette #define Dbl_isnotzero_low4p2(dbl_value) (Dlow4p2(dbl_value)!=0) 168 1.1 fredette #define Dbl_iszero(dbl_valueA,dbl_valueB) (Dallp1(dbl_valueA)==0 && \ 169 1.1 fredette Dallp2(dbl_valueB)==0) 170 1.1 fredette #define Dbl_iszero_allp1(dbl_value) (Dallp1(dbl_value)==0) 171 1.1 fredette #define Dbl_iszero_allp2(dbl_value) (Dallp2(dbl_value)==0) 172 1.1 fredette #define Dbl_iszero_hidden(dbl_value) (Is_dhidden(dbl_value)==0) 173 1.1 fredette #define Dbl_iszero_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)==0) 174 1.1 fredette #define Dbl_iszero_hiddenhigh3mantissa(dbl_value) \ 175 1.1 fredette (Dhiddenhigh3mantissa(dbl_value)==0) 176 1.1 fredette #define Dbl_iszero_hiddenhigh7mantissa(dbl_value) \ 177 1.1 fredette (Dhiddenhigh7mantissa(dbl_value)==0) 178 1.1 fredette #define Dbl_iszero_sign(dbl_value) (Is_dsign(dbl_value)==0) 179 1.1 fredette #define Dbl_iszero_exponent(dbl_value) (Dexponent(dbl_value)==0) 180 1.1 fredette #define Dbl_iszero_mantissa(dbl_valueA,dbl_valueB) \ 181 1.1 fredette (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 182 1.1 fredette #define Dbl_iszero_exponentmantissa(dbl_valueA,dbl_valueB) \ 183 1.1 fredette (Dexponentmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 184 1.1 fredette #define Dbl_isinfinity_exponent(dbl_value) \ 185 1.1 fredette (Dexponent(dbl_value)==DBL_INFINITY_EXPONENT) 186 1.1 fredette #define Dbl_isnotinfinity_exponent(dbl_value) \ 187 1.1 fredette (Dexponent(dbl_value)!=DBL_INFINITY_EXPONENT) 188 1.1 fredette #define Dbl_isinfinity(dbl_valueA,dbl_valueB) \ 189 1.1 fredette (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 190 1.1 fredette Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0) 191 1.1 fredette #define Dbl_isnan(dbl_valueA,dbl_valueB) \ 192 1.1 fredette (Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \ 193 1.1 fredette (Dmantissap1(dbl_valueA)!=0 || Dmantissap2(dbl_valueB)!=0)) 194 1.1 fredette #define Dbl_isnotnan(dbl_valueA,dbl_valueB) \ 195 1.1 fredette (Dexponent(dbl_valueA)!=DBL_INFINITY_EXPONENT || \ 196 1.1 fredette (Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)) 197 1.1 fredette 198 1.1 fredette #define Dbl_islessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 199 1.1 fredette (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 200 1.1 fredette (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 201 1.1 fredette Dallp2(dbl_op1b) < Dallp2(dbl_op2b))) 202 1.1 fredette #define Dbl_isgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 203 1.1 fredette (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 204 1.1 fredette (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 205 1.1 fredette Dallp2(dbl_op1b) > Dallp2(dbl_op2b))) 206 1.1 fredette #define Dbl_isnotlessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 207 1.1 fredette (Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \ 208 1.1 fredette (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 209 1.1 fredette Dallp2(dbl_op1b) >= Dallp2(dbl_op2b))) 210 1.1 fredette #define Dbl_isnotgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 211 1.1 fredette (Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \ 212 1.1 fredette (Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \ 213 1.1 fredette Dallp2(dbl_op1b) <= Dallp2(dbl_op2b))) 214 1.1 fredette #define Dbl_isequal(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \ 215 1.1 fredette ((Dallp1(dbl_op1a) == Dallp1(dbl_op2a)) && \ 216 1.1 fredette (Dallp2(dbl_op1b) == Dallp2(dbl_op2b))) 217 1.1 fredette 218 1.1 fredette #define Dbl_leftshiftby8(dbl_valueA,dbl_valueB) \ 219 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),24,Dallp1(dbl_valueA)); \ 220 1.1 fredette Dallp2(dbl_valueB) <<= 8 221 1.1 fredette #define Dbl_leftshiftby7(dbl_valueA,dbl_valueB) \ 222 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),25,Dallp1(dbl_valueA)); \ 223 1.1 fredette Dallp2(dbl_valueB) <<= 7 224 1.1 fredette #define Dbl_leftshiftby4(dbl_valueA,dbl_valueB) \ 225 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),28,Dallp1(dbl_valueA)); \ 226 1.1 fredette Dallp2(dbl_valueB) <<= 4 227 1.1 fredette #define Dbl_leftshiftby3(dbl_valueA,dbl_valueB) \ 228 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),29,Dallp1(dbl_valueA)); \ 229 1.1 fredette Dallp2(dbl_valueB) <<= 3 230 1.1 fredette #define Dbl_leftshiftby2(dbl_valueA,dbl_valueB) \ 231 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),30,Dallp1(dbl_valueA)); \ 232 1.1 fredette Dallp2(dbl_valueB) <<= 2 233 1.1 fredette #define Dbl_leftshiftby1(dbl_valueA,dbl_valueB) \ 234 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),31,Dallp1(dbl_valueA)); \ 235 1.1 fredette Dallp2(dbl_valueB) <<= 1 236 1.1 fredette 237 1.1 fredette #define Dbl_rightshiftby8(dbl_valueA,dbl_valueB) \ 238 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),8,Dallp2(dbl_valueB)); \ 239 1.1 fredette Dallp1(dbl_valueA) >>= 8 240 1.1 fredette #define Dbl_rightshiftby4(dbl_valueA,dbl_valueB) \ 241 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),4,Dallp2(dbl_valueB)); \ 242 1.1 fredette Dallp1(dbl_valueA) >>= 4 243 1.1 fredette #define Dbl_rightshiftby2(dbl_valueA,dbl_valueB) \ 244 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),2,Dallp2(dbl_valueB)); \ 245 1.1 fredette Dallp1(dbl_valueA) >>= 2 246 1.1 fredette #define Dbl_rightshiftby1(dbl_valueA,dbl_valueB) \ 247 1.1 fredette Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),1,Dallp2(dbl_valueB)); \ 248 1.1 fredette Dallp1(dbl_valueA) >>= 1 249 1.1 fredette 250 1.1 fredette /* This magnitude comparison uses the signless first words and 251 1.1 fredette * the regular part2 words. The comparison is graphically: 252 1.1 fredette * 253 1.1 fredette * 1st greater? ------------- 254 1.1 fredette * | 255 1.1 fredette * 1st less?-----------------+--------- 256 1.1 fredette * | | 257 1.1 fredette * 2nd greater or equal----->| | 258 1.1 fredette * False True 259 1.1 fredette */ 260 1.1 fredette #define Dbl_ismagnitudeless(leftB,rightB,signlessleft,signlessright) \ 261 1.1 fredette ((signlessleft <= signlessright) && \ 262 1.1 fredette ( (signlessleft < signlessright) || (Dallp2(leftB)<Dallp2(rightB)) )) 263 1.1 fredette 264 1.1 fredette #define Dbl_copytoint_exponentmantissap1(src,dest) \ 265 1.1 fredette dest = Dexponentmantissap1(src) 266 1.1 fredette 267 1.1 fredette /* A quiet NaN has the high mantissa bit clear and at least on other (in this 268 1.1 fredette * case the adjacent bit) bit set. */ 269 1.1 fredette #define Dbl_set_quiet(dbl_value) Deposit_dhigh2mantissa(dbl_value,1) 270 1.1 fredette #define Dbl_set_exponent(dbl_value, exp) Deposit_dexponent(dbl_value,exp) 271 1.1 fredette 272 1.1 fredette #define Dbl_set_mantissa(desta,destb,valuea,valueb) \ 273 1.1 fredette Deposit_dmantissap1(desta,valuea); \ 274 1.1 fredette Dmantissap2(destb) = Dmantissap2(valueb) 275 1.1 fredette #define Dbl_set_mantissap1(desta,valuea) \ 276 1.1 fredette Deposit_dmantissap1(desta,valuea) 277 1.1 fredette #define Dbl_set_mantissap2(destb,valueb) \ 278 1.1 fredette Dmantissap2(destb) = Dmantissap2(valueb) 279 1.1 fredette 280 1.1 fredette #define Dbl_set_exponentmantissa(desta,destb,valuea,valueb) \ 281 1.1 fredette Deposit_dexponentmantissap1(desta,valuea); \ 282 1.1 fredette Dmantissap2(destb) = Dmantissap2(valueb) 283 1.1 fredette #define Dbl_set_exponentmantissap1(dest,value) \ 284 1.1 fredette Deposit_dexponentmantissap1(dest,value) 285 1.1 fredette 286 1.1 fredette #define Dbl_copyfromptr(src,desta,destb) \ 287 1.1 fredette Dallp1(desta) = src->wd0; \ 288 1.1 fredette Dallp2(destb) = src->wd1 289 1.1 fredette #define Dbl_copytoptr(srca,srcb,dest) \ 290 1.1 fredette dest->wd0 = Dallp1(srca); \ 291 1.1 fredette dest->wd1 = Dallp2(srcb) 292 1.1 fredette 293 1.1 fredette /* An infinity is represented with the max exponent and a zero mantissa */ 294 1.1 fredette #define Dbl_setinfinity_exponent(dbl_value) \ 295 1.1 fredette Deposit_dexponent(dbl_value,DBL_INFINITY_EXPONENT) 296 1.1 fredette #define Dbl_setinfinity_exponentmantissa(dbl_valueA,dbl_valueB) \ 297 1.1 fredette Deposit_dexponentmantissap1(dbl_valueA, \ 298 1.1 fredette (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH)))); \ 299 1.1 fredette Dmantissap2(dbl_valueB) = 0 300 1.1 fredette #define Dbl_setinfinitypositive(dbl_valueA,dbl_valueB) \ 301 1.1 fredette Dallp1(dbl_valueA) \ 302 1.1 fredette = (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 303 1.1 fredette Dmantissap2(dbl_valueB) = 0 304 1.1 fredette #define Dbl_setinfinitynegative(dbl_valueA,dbl_valueB) \ 305 1.1 fredette Dallp1(dbl_valueA) = (1<<31) | \ 306 1.1 fredette (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 307 1.1 fredette Dmantissap2(dbl_valueB) = 0 308 1.1 fredette #define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \ 309 1.1 fredette Dallp1(dbl_valueA) = (sign << 31) | \ 310 1.1 fredette (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ 311 1.1 fredette Dmantissap2(dbl_valueB) = 0 312 1.1 fredette 313 1.1 fredette #define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign) 314 1.1 fredette #define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign) 315 1.1 fredette #define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value)) 316 1.1 fredette #define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1) 317 1.1 fredette #define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1) 318 1.1 fredette #define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff 319 1.1 fredette #define Dbl_setzero_exponent(dbl_value) \ 320 1.1 fredette Dallp1(dbl_value) &= 0x800fffff 321 1.1 fredette #define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \ 322 1.1 fredette Dallp1(dbl_valueA) &= 0xfff00000; \ 323 1.1 fredette Dallp2(dbl_valueB) = 0 324 1.1 fredette #define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000 325 1.1 fredette #define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0 326 1.1 fredette #define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \ 327 1.1 fredette Dallp1(dbl_valueA) &= 0x80000000; \ 328 1.1 fredette Dallp2(dbl_valueB) = 0 329 1.1 fredette #define Dbl_setzero_exponentmantissap1(dbl_valueA) \ 330 1.1 fredette Dallp1(dbl_valueA) &= 0x80000000 331 1.1 fredette #define Dbl_setzero(dbl_valueA,dbl_valueB) \ 332 1.1 fredette Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0 333 1.1 fredette #define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0 334 1.1 fredette #define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0 335 1.1 fredette #define Dbl_setnegativezero(dbl_value) \ 336 1.1 fredette Dallp1(dbl_value) = 1 << 31; Dallp2(dbl_value) = 0 337 1.1 fredette #define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = 1 << 31 338 1.1 fredette 339 1.1 fredette /* Use the following macro for both overflow & underflow conditions */ 340 1.1 fredette #define ovfl - 341 1.1 fredette #define unfl + 342 1.1 fredette #define Dbl_setwrapped_exponent(dbl_value,exponent,op) \ 343 1.1 fredette Deposit_dexponent(dbl_value,(exponent op DBL_WRAP)) 344 1.1 fredette 345 1.1 fredette #define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \ 346 1.3 skrll Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 347 1.1 fredette | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \ 348 1.1 fredette Dallp2(dbl_valueB) = 0xFFFFFFFF 349 1.1 fredette #define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \ 350 1.3 skrll Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 351 1.1 fredette | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) | (1<<31); \ 352 1.1 fredette Dallp2(dbl_valueB) = 0xFFFFFFFF 353 1.1 fredette #define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \ 354 1.1 fredette Deposit_dexponentmantissap1(dbl_valueA, \ 355 1.3 skrll (((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ 356 1.1 fredette | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \ 357 1.1 fredette Dallp2(dbl_valueB) = 0xFFFFFFFF 358 1.1 fredette 359 1.1 fredette #define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \ 360 1.1 fredette Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \ 361 1.1 fredette << (32-(1+DBL_EXP_LENGTH)) ; \ 362 1.1 fredette Dallp2(dbl_valueB) = 0 363 1.1 fredette #define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \ 364 1.1 fredette Dallp1(dbl_valueA) = (sign << 31) | \ 365 1.3 skrll ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \ 366 1.1 fredette ((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \ 367 1.1 fredette Dallp2(dbl_valueB) = 0xFFFFFFFF 368 1.1 fredette 369 1.1 fredette 370 1.1 fredette /* The high bit is always zero so arithmetic or logical shifts will work. */ 371 1.1 fredette #define Dbl_right_align(srcdstA,srcdstB,shift,extent) \ 372 1.1 fredette if( shift >= 32 ) \ 373 1.1 fredette { \ 374 1.1 fredette /* Big shift requires examining the portion shift off \ 375 1.1 fredette the end to properly set inexact. */ \ 376 1.1 fredette if(shift < 64) \ 377 1.1 fredette { \ 378 1.1 fredette if(shift > 32) \ 379 1.1 fredette { \ 380 1.1 fredette Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \ 381 1.1 fredette shift-32, Extall(extent)); \ 382 1.1 fredette if(Dallp2(srcdstB) << (64 - (shift))) Ext_setone_low(extent); \ 383 1.1 fredette } \ 384 1.1 fredette else Extall(extent) = Dallp2(srcdstB); \ 385 1.1 fredette Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \ 386 1.1 fredette } \ 387 1.1 fredette else \ 388 1.1 fredette { \ 389 1.1 fredette Extall(extent) = Dallp1(srcdstA); \ 390 1.1 fredette if(Dallp2(srcdstB)) Ext_setone_low(extent); \ 391 1.1 fredette Dallp2(srcdstB) = 0; \ 392 1.1 fredette } \ 393 1.1 fredette Dallp1(srcdstA) = 0; \ 394 1.1 fredette } \ 395 1.1 fredette else \ 396 1.1 fredette { \ 397 1.1 fredette /* Small alignment is simpler. Extension is easily set. */ \ 398 1.1 fredette if (shift > 0) \ 399 1.1 fredette { \ 400 1.1 fredette Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 401 1.1 fredette Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \ 402 1.1 fredette Dallp2(srcdstB)); \ 403 1.1 fredette Dallp1(srcdstA) >>= shift; \ 404 1.1 fredette } \ 405 1.1 fredette else Extall(extent) = 0; \ 406 1.1 fredette } 407 1.1 fredette 408 1.1 fredette /* 409 1.1 fredette * Here we need to shift the result right to correct for an overshift 410 1.1 fredette * (due to the exponent becoming negative) during normalization. 411 1.1 fredette */ 412 1.1 fredette #define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \ 413 1.1 fredette Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \ 414 1.1 fredette Dallp2(srcdstB) = (Dallp1(srcdstA) << (32 - (shift))) | \ 415 1.1 fredette (Dallp2(srcdstB) >> (shift)); \ 416 1.1 fredette Dallp1(srcdstA) = Dallp1(srcdstA) >> shift 417 1.1 fredette 418 1.1 fredette #define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value) 419 1.1 fredette #define Dbl_hidden(dbl_value) Dhidden(dbl_value) 420 1.1 fredette #define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value) 421 1.1 fredette 422 1.1 fredette /* The left argument is never smaller than the right argument */ 423 1.1 fredette #define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \ 424 1.1 fredette if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \ 425 1.1 fredette Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \ 426 1.1 fredette Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta) 427 1.1 fredette 428 1.1 fredette /* Subtract right augmented with extension from left augmented with zeros and 429 1.1 fredette * store into result and extension. */ 430 1.1 fredette #define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \ 431 1.1 fredette Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \ 432 1.1 fredette if( (Extall(extent) = 0-Extall(extent)) ) \ 433 1.1 fredette { \ 434 1.1 fredette if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \ 435 1.1 fredette } 436 1.1 fredette 437 1.1 fredette #define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \ 438 1.1 fredette /* If the sum of the low words is less than either source, then \ 439 1.1 fredette * an overflow into the next word occurred. */ \ 440 1.1 fredette Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \ 441 1.1 fredette if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \ 442 1.1 fredette Dallp1(resulta)++ 443 1.1 fredette 444 1.1 fredette #define Dbl_xortointp1(left,right,result) \ 445 1.1 fredette result = Dallp1(left) XOR Dallp1(right) 446 1.1 fredette 447 1.1 fredette #define Dbl_xorfromintp1(left,right,result) \ 448 1.1 fredette Dallp1(result) = left XOR Dallp1(right) 449 1.1 fredette 450 1.1 fredette #define Dbl_swap_lower(left,right) \ 451 1.1 fredette Dallp2(left) = Dallp2(left) XOR Dallp2(right); \ 452 1.1 fredette Dallp2(right) = Dallp2(left) XOR Dallp2(right); \ 453 1.1 fredette Dallp2(left) = Dallp2(left) XOR Dallp2(right) 454 1.1 fredette 455 1.1 fredette /* Need to Initialize */ 456 1.1 fredette #define Dbl_makequietnan(desta,destb) \ 457 1.3 skrll Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 458 1.1 fredette | (1<<(32-(1+DBL_EXP_LENGTH+2))); \ 459 1.1 fredette Dallp2(destb) = 0 460 1.1 fredette #define Dbl_makesignalingnan(desta,destb) \ 461 1.3 skrll Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ 462 1.1 fredette | (1<<(32-(1+DBL_EXP_LENGTH+1))); \ 463 1.1 fredette Dallp2(destb) = 0 464 1.1 fredette 465 1.1 fredette #define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \ 466 1.1 fredette while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \ 467 1.1 fredette Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \ 468 1.1 fredette exponent -= 8; \ 469 1.1 fredette } \ 470 1.1 fredette if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \ 471 1.1 fredette Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \ 472 1.1 fredette exponent -= 4; \ 473 1.1 fredette } \ 474 1.1 fredette while(Dbl_iszero_hidden(dbl_opndA)) { \ 475 1.1 fredette Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \ 476 1.1 fredette exponent -= 1; \ 477 1.1 fredette } 478 1.1 fredette 479 1.1 fredette #define Twoword_add(src1dstA,src1dstB,src2A,src2B) \ 480 1.1 fredette /* \ 481 1.1 fredette * want this macro to generate: \ 482 1.1 fredette * ADD src1dstB,src2B,src1dstB; \ 483 1.1 fredette * ADDC src1dstA,src2A,src1dstA; \ 484 1.1 fredette */ \ 485 1.1 fredette if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \ 486 1.1 fredette Dallp1(src1dstA) += (src2A); \ 487 1.1 fredette Dallp2(src1dstB) += (src2B) 488 1.1 fredette 489 1.1 fredette #define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \ 490 1.1 fredette /* \ 491 1.1 fredette * want this macro to generate: \ 492 1.1 fredette * SUB src1dstB,src2B,src1dstB; \ 493 1.1 fredette * SUBB src1dstA,src2A,src1dstA; \ 494 1.1 fredette */ \ 495 1.1 fredette if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \ 496 1.1 fredette Dallp1(src1dstA) -= (src2A); \ 497 1.1 fredette Dallp2(src1dstB) -= (src2B) 498 1.1 fredette 499 1.1 fredette #define Dbl_setoverflow(resultA,resultB) \ 500 1.1 fredette /* set result to infinity or largest number */ \ 501 1.1 fredette switch (Rounding_mode()) { \ 502 1.1 fredette case ROUNDPLUS: \ 503 1.1 fredette if (Dbl_isone_sign(resultA)) { \ 504 1.1 fredette Dbl_setlargestnegative(resultA,resultB); \ 505 1.1 fredette } \ 506 1.1 fredette else { \ 507 1.1 fredette Dbl_setinfinitypositive(resultA,resultB); \ 508 1.1 fredette } \ 509 1.1 fredette break; \ 510 1.1 fredette case ROUNDMINUS: \ 511 1.1 fredette if (Dbl_iszero_sign(resultA)) { \ 512 1.1 fredette Dbl_setlargestpositive(resultA,resultB); \ 513 1.1 fredette } \ 514 1.1 fredette else { \ 515 1.1 fredette Dbl_setinfinitynegative(resultA,resultB); \ 516 1.1 fredette } \ 517 1.1 fredette break; \ 518 1.1 fredette case ROUNDNEAREST: \ 519 1.1 fredette Dbl_setinfinity_exponentmantissa(resultA,resultB); \ 520 1.1 fredette break; \ 521 1.1 fredette case ROUNDZERO: \ 522 1.1 fredette Dbl_setlargest_exponentmantissa(resultA,resultB); \ 523 1.1 fredette } 524 1.1 fredette 525 1.1 fredette #define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \ 526 1.1 fredette Dbl_clear_signexponent_set_hidden(opndp1); \ 527 1.1 fredette if (exponent >= (1-DBL_P)) { \ 528 1.1 fredette if (exponent >= -31) { \ 529 1.1 fredette guard = (Dallp2(opndp2) >> (-(exponent))) & 1; \ 530 1.1 fredette if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \ 531 1.1 fredette if (exponent > -31) { \ 532 1.1 fredette Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \ 533 1.1 fredette Dallp1(opndp1) >>= 1-exponent; \ 534 1.1 fredette } \ 535 1.1 fredette else { \ 536 1.1 fredette Dallp2(opndp2) = Dallp1(opndp1); \ 537 1.1 fredette Dbl_setzerop1(opndp1); \ 538 1.1 fredette } \ 539 1.1 fredette } \ 540 1.1 fredette else { \ 541 1.1 fredette guard = (Dallp1(opndp1) >> (-32-(exponent))) & 1; \ 542 1.1 fredette if (exponent == -32) sticky |= Dallp2(opndp2); \ 543 1.1 fredette else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << (64+(exponent))); \ 544 1.1 fredette Dallp2(opndp2) = Dallp1(opndp1) >> (-31-(exponent)); \ 545 1.1 fredette Dbl_setzerop1(opndp1); \ 546 1.1 fredette } \ 547 1.1 fredette inexact = guard | sticky; \ 548 1.1 fredette } \ 549 1.1 fredette else { \ 550 1.1 fredette guard = 0; \ 551 1.1 fredette sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \ 552 1.1 fredette Dbl_setzero(opndp1,opndp2); \ 553 1.1 fredette inexact = sticky; \ 554 1.1 fredette } 555 1.1 fredette 556 1.1 fredette 557 1.2 skrll int dbl_fadd(dbl_floating_point *, dbl_floating_point*, dbl_floating_point*, unsigned int *); 558 1.2 skrll int dbl_fcmp(dbl_floating_point *, dbl_floating_point*, unsigned int, unsigned int *); 559 1.2 skrll int dbl_fdiv(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *); 560 1.2 skrll int dbl_fmpy(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 561 1.2 skrll int dbl_frem(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 562 1.2 skrll int dbl_fsqrt(dbl_floating_point *, dbl_floating_point *, unsigned int *); 563 1.2 skrll int dbl_fsub(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *); 564 1.1 fredette 565 1.2 skrll dbl_floating_point dbl_setoverflow(unsigned int); 566 1.1 fredette 567 1.2 skrll int sgl_to_dbl_fcnvff(sgl_floating_point *, dbl_floating_point *, unsigned int *); 568 1.2 skrll int dbl_to_sgl_fcnvff(dbl_floating_point *, sgl_floating_point *, unsigned int *); 569 1.1 fredette 570 1.2 skrll int dbl_frnd(dbl_floating_point *, dbl_floating_point *, unsigned int *); 571