arch/parisc/math-emu/sgl_float.h

   1 /*
   2  * Linux/PA-RISC Project (http://www.parisc-linux.org/)
   3  *
   4  * Floating-point emulation code
   5  *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
   6  *
   7  *    This program is free software; you can redistribute it and/or modify
   8  *    it under the terms of the GNU General Public License as published by
   9  *    the Free Software Foundation; either version 2, or (at your option)
  10  *    any later version.
  11  *
  12  *    This program is distributed in the hope that it will be useful,
  13  *    but WITHOUT ANY WARRANTY; without even the implied warranty of
  14  *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  15  *    GNU General Public License for more details.
  16  *
  17  *    You should have received a copy of the GNU General Public License
  18  *    along with this program; if not, write to the Free Software
  19  *    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  20  */
  21
  22 #ifdef __NO_PA_HDRS
  23     PA header file -- do not include this header file for non-PA builds.
  24 #endif
  25
  26 /* 32-bit word grabbing functions */
  27 #define Sgl_firstword(value) Sall(value)
  28 #define Sgl_secondword(value) dummy_location
  29 #define Sgl_thirdword(value) dummy_location
  30 #define Sgl_fourthword(value) dummy_location
  31
  32 #define Sgl_sign(object) Ssign(object)
  33 #define Sgl_exponent(object) Sexponent(object)
  34 #define Sgl_signexponent(object) Ssignexponent(object)
  35 #define Sgl_mantissa(object) Smantissa(object)
  36 #define Sgl_exponentmantissa(object) Sexponentmantissa(object)
  37 #define Sgl_all(object) Sall(object)
  38
  39 /* sgl_and_signs ANDs the sign bits of each argument and puts the result
  40  * into the first argument. sgl_or_signs ors those same sign bits */
  41 #define Sgl_and_signs( src1dst, src2)           \
  42     Sall(src1dst) = (Sall(src2)|~((unsigned int)1<<31)) & Sall(src1dst)
  43 #define Sgl_or_signs( src1dst, src2)            \
  44     Sall(src1dst) = (Sall(src2)&((unsigned int)1<<31)) | Sall(src1dst)
  45
  46 /* The hidden bit is always the low bit of the exponent */
  47 #define Sgl_clear_exponent_set_hidden(srcdst) Deposit_sexponent(srcdst,1)
  48 #define Sgl_clear_signexponent_set_hidden(srcdst) \
  49     Deposit_ssignexponent(srcdst,1)
  50 #define Sgl_clear_sign(srcdst) Sall(srcdst) &= ~((unsigned int)1<<31)
  51 #define Sgl_clear_signexponent(srcdst) Sall(srcdst) &= 0x007fffff
  52
  53 /* varamount must be less than 32 for the next three functions */
  54 #define Sgl_rightshift(srcdst, varamount)       \
  55     Sall(srcdst) >>= varamount
  56 #define Sgl_leftshift(srcdst, varamount)        \
  57     Sall(srcdst) <<= varamount
  58 #define Sgl_rightshift_exponentmantissa(srcdst, varamount) \
  59     Sall(srcdst) = \
  60         (Sexponentmantissa(srcdst) >> varamount) | \
  61         (Sall(srcdst) & ((unsigned int)1<<31))
  62
  63 #define Sgl_leftshiftby1_withextent(left,right,result) \
  64     Shiftdouble(Sall(left),Extall(right),31,Sall(result))
  65
  66 #define Sgl_rightshiftby1_withextent(left,right,dst)            \
  67     Shiftdouble(Sall(left),Extall(right),1,Extall(right))
  68 #define Sgl_arithrightshiftby1(srcdst)  \
  69     Sall(srcdst) = (int)Sall(srcdst) >> 1
  70
  71 /* Sign extend the sign bit with an integer destination */
  72 #define Sgl_signextendedsign(value) Ssignedsign(value)
  73
  74 #define Sgl_isone_hidden(sgl_value) (Shidden(sgl_value))
  75 #define Sgl_increment(sgl_value) Sall(sgl_value) += 1
  76 #define Sgl_increment_mantissa(sgl_value) \
  77     Deposit_smantissa(sgl_value,sgl_value+1)
  78 #define Sgl_decrement(sgl_value) Sall(sgl_value) -= 1
  79
  80 #define Sgl_isone_sign(sgl_value) (Is_ssign(sgl_value)!=0)
  81 #define Sgl_isone_hiddenoverflow(sgl_value) \
  82     (Is_shiddenoverflow(sgl_value)!=0)
  83 #define Sgl_isone_lowmantissa(sgl_value) (Is_slow(sgl_value)!=0)
  84 #define Sgl_isone_signaling(sgl_value) (Is_ssignaling(sgl_value)!=0)
  85 #define Sgl_is_signalingnan(sgl_value) (Ssignalingnan(sgl_value)==0x1ff)
  86 #define Sgl_isnotzero(sgl_value) (Sall(sgl_value)!=0)
  87 #define Sgl_isnotzero_hiddenhigh7mantissa(sgl_value) \
  88     (Shiddenhigh7mantissa(sgl_value)!=0)
  89 #define Sgl_isnotzero_low4(sgl_value) (Slow4(sgl_value)!=0)
  90 #define Sgl_isnotzero_exponent(sgl_value) (Sexponent(sgl_value)!=0)
  91 #define Sgl_isnotzero_mantissa(sgl_value) (Smantissa(sgl_value)!=0)
  92 #define Sgl_isnotzero_exponentmantissa(sgl_value) \
  93     (Sexponentmantissa(sgl_value)!=0)
  94 #define Sgl_iszero(sgl_value) (Sall(sgl_value)==0)
  95 #define Sgl_iszero_signaling(sgl_value) (Is_ssignaling(sgl_value)==0)
  96 #define Sgl_iszero_hidden(sgl_value) (Is_shidden(sgl_value)==0)
  97 #define Sgl_iszero_hiddenoverflow(sgl_value) \
  98     (Is_shiddenoverflow(sgl_value)==0)
  99 #define Sgl_iszero_hiddenhigh3mantissa(sgl_value) \
 100     (Shiddenhigh3mantissa(sgl_value)==0)
 101 #define Sgl_iszero_hiddenhigh7mantissa(sgl_value) \
 102     (Shiddenhigh7mantissa(sgl_value)==0)
 103 #define Sgl_iszero_sign(sgl_value) (Is_ssign(sgl_value)==0)
 104 #define Sgl_iszero_exponent(sgl_value) (Sexponent(sgl_value)==0)
 105 #define Sgl_iszero_mantissa(sgl_value) (Smantissa(sgl_value)==0)
 106 #define Sgl_iszero_exponentmantissa(sgl_value) \
 107     (Sexponentmantissa(sgl_value)==0)
 108 #define Sgl_isinfinity_exponent(sgl_value)              \
 109     (Sgl_exponent(sgl_value)==SGL_INFINITY_EXPONENT)
 110 #define Sgl_isnotinfinity_exponent(sgl_value)           \
 111     (Sgl_exponent(sgl_value)!=SGL_INFINITY_EXPONENT)
 112 #define Sgl_isinfinity(sgl_value)                       \
 113     (Sgl_exponent(sgl_value)==SGL_INFINITY_EXPONENT &&  \
 114     Sgl_mantissa(sgl_value)==0)
 115 #define Sgl_isnan(sgl_value)                            \
 116     (Sgl_exponent(sgl_value)==SGL_INFINITY_EXPONENT &&  \
 117     Sgl_mantissa(sgl_value)!=0)
 118 #define Sgl_isnotnan(sgl_value)                         \
 119     (Sgl_exponent(sgl_value)!=SGL_INFINITY_EXPONENT ||  \
 120     Sgl_mantissa(sgl_value)==0)
 121 #define Sgl_islessthan(sgl_op1,sgl_op2)                 \
 122     (Sall(sgl_op1) < Sall(sgl_op2))
 123 #define Sgl_isgreaterthan(sgl_op1,sgl_op2)              \
 124     (Sall(sgl_op1) > Sall(sgl_op2))
 125 #define Sgl_isnotlessthan(sgl_op1,sgl_op2)              \
 126     (Sall(sgl_op1) >= Sall(sgl_op2))
 127 #define Sgl_isequal(sgl_op1,sgl_op2)                    \
 128     (Sall(sgl_op1) == Sall(sgl_op2))
 129
 130 #define Sgl_leftshiftby8(sgl_value) \
 131     Sall(sgl_value) <<= 8
 132 #define Sgl_leftshiftby4(sgl_value) \
 133     Sall(sgl_value) <<= 4
 134 #define Sgl_leftshiftby3(sgl_value) \
 135     Sall(sgl_value) <<= 3
 136 #define Sgl_leftshiftby2(sgl_value) \
 137     Sall(sgl_value) <<= 2
 138 #define Sgl_leftshiftby1(sgl_value) \
 139     Sall(sgl_value) <<= 1
 140 #define Sgl_rightshiftby1(sgl_value) \
 141     Sall(sgl_value) >>= 1
 142 #define Sgl_rightshiftby4(sgl_value) \
 143     Sall(sgl_value) >>= 4
 144 #define Sgl_rightshiftby8(sgl_value) \
 145     Sall(sgl_value) >>= 8
 146
 147 #define Sgl_ismagnitudeless(signlessleft,signlessright)                 \
 148 /*  unsigned int signlessleft, signlessright; */                        \
 149       (signlessleft < signlessright)
 150
 151
 152 #define Sgl_copytoint_exponentmantissa(source,dest)     \
 153     dest = Sexponentmantissa(source)
 154
 155 /* A quiet NaN has the high mantissa bit clear and at least on other (in this
 156  * case the adjacent bit) bit set. */
 157 #define Sgl_set_quiet(sgl_value) Deposit_shigh2mantissa(sgl_value,1)
 158 #define Sgl_set_exponent(sgl_value,exp) Deposit_sexponent(sgl_value,exp)
 159
 160 #define Sgl_set_mantissa(dest,value) Deposit_smantissa(dest,value)
 161 #define Sgl_set_exponentmantissa(dest,value) \
 162     Deposit_sexponentmantissa(dest,value)
 163
 164 /*  An infinity is represented with the max exponent and a zero mantissa */
 165 #define Sgl_setinfinity_exponent(sgl_value) \
 166     Deposit_sexponent(sgl_value,SGL_INFINITY_EXPONENT)
 167 #define Sgl_setinfinity_exponentmantissa(sgl_value)     \
 168     Deposit_sexponentmantissa(sgl_value, \
 169         (SGL_INFINITY_EXPONENT << (32-(1+SGL_EXP_LENGTH))))
 170 #define Sgl_setinfinitypositive(sgl_value)              \
 171     Sall(sgl_value) = (SGL_INFINITY_EXPONENT << (32-(1+SGL_EXP_LENGTH)))
 172 #define Sgl_setinfinitynegative(sgl_value)              \
 173     Sall(sgl_value) = (SGL_INFINITY_EXPONENT << (32-(1+SGL_EXP_LENGTH))) \
 174     | ((unsigned int)1<<31)
 175 #define Sgl_setinfinity(sgl_value,sign)                                 \
 176     Sall(sgl_value) = (SGL_INFINITY_EXPONENT << (32-(1+SGL_EXP_LENGTH))) | \
 177      ((unsigned int)sign << 31)
 178 #define Sgl_sethigh4bits(sgl_value, extsign)  \
 179     Deposit_shigh4(sgl_value,extsign)
 180 #define Sgl_set_sign(sgl_value,sign) Deposit_ssign(sgl_value,sign)
 181 #define Sgl_invert_sign(sgl_value)  \
 182     Deposit_ssign(sgl_value,~Ssign(sgl_value))
 183 #define Sgl_setone_sign(sgl_value) Deposit_ssign(sgl_value,1)
 184 #define Sgl_setone_lowmantissa(sgl_value) Deposit_slow(sgl_value,1)
 185 #define Sgl_setzero_sign(sgl_value)  Sall(sgl_value) &= 0x7fffffff
 186 #define Sgl_setzero_exponent(sgl_value) Sall(sgl_value) &= 0x807fffff
 187 #define Sgl_setzero_mantissa(sgl_value) Sall(sgl_value) &= 0xff800000
 188 #define Sgl_setzero_exponentmantissa(sgl_value)  Sall(sgl_value) &= 0x80000000
 189 #define Sgl_setzero(sgl_value) Sall(sgl_value) = 0
 190 #define Sgl_setnegativezero(sgl_value) Sall(sgl_value) = (unsigned int)1 << 31
 191
 192 /* Use following macro for both overflow & underflow conditions */
 193 #define ovfl -
 194 #define unfl +
 195 #define Sgl_setwrapped_exponent(sgl_value,exponent,op) \
 196     Deposit_sexponent(sgl_value,(exponent op SGL_WRAP))
 197
 198 #define Sgl_setlargestpositive(sgl_value)                               \
 199     Sall(sgl_value) = ((SGL_EMAX+SGL_BIAS) << (32-(1+SGL_EXP_LENGTH)))  \
 200                       | ((1<<(32-(1+SGL_EXP_LENGTH))) - 1 )
 201 #define Sgl_setlargestnegative(sgl_value)                               \
 202     Sall(sgl_value) = ((SGL_EMAX+SGL_BIAS) << (32-(1+SGL_EXP_LENGTH)))  \
 203                       | ((1<<(32-(1+SGL_EXP_LENGTH))) - 1 )             \
 204                       | ((unsigned int)1<<31)
 205
 206 #define Sgl_setnegativeinfinity(sgl_value)      \
 207     Sall(sgl_value) =                           \
 208     ((1<<SGL_EXP_LENGTH) | SGL_INFINITY_EXPONENT) << (32-(1+SGL_EXP_LENGTH))
 209 #define Sgl_setlargest(sgl_value,sign)                                  \
 210     Sall(sgl_value) = (unsigned int)sign << 31 |                        \
 211         (((SGL_EMAX+SGL_BIAS) << (32-(1+SGL_EXP_LENGTH)))               \
 212           | ((1 << (32-(1+SGL_EXP_LENGTH))) - 1 ))
 213 #define Sgl_setlargest_exponentmantissa(sgl_value)                      \
 214     Sall(sgl_value) = Sall(sgl_value) & ((unsigned int)1<<31) |         \
 215         (((SGL_EMAX+SGL_BIAS) << (32-(1+SGL_EXP_LENGTH)))               \
 216           | ((1 << (32-(1+SGL_EXP_LENGTH))) - 1 ))
 217
 218 /* The high bit is always zero so arithmetic or logical shifts will work. */
 219 #define Sgl_right_align(srcdst,shift,extent)                            \
 220     /* sgl_floating_point srcdst; int shift; extension extent */        \
 221     if (shift < 32) {                                                   \
 222         Extall(extent) = Sall(srcdst) << (32-(shift));                  \
 223         Sall(srcdst) >>= shift;                                         \
 224     }                                                                   \
 225     else {                                                              \
 226         Extall(extent) = Sall(srcdst);                                  \
 227         Sall(srcdst) = 0;                                               \
 228     }
 229 #define Sgl_hiddenhigh3mantissa(sgl_value) Shiddenhigh3mantissa(sgl_value)
 230 #define Sgl_hidden(sgl_value) Shidden(sgl_value)
 231 #define Sgl_lowmantissa(sgl_value) Slow(sgl_value)
 232
 233 /* The left argument is never smaller than the right argument */
 234 #define Sgl_subtract(sgl_left,sgl_right,sgl_result) \
 235     Sall(sgl_result) = Sall(sgl_left) - Sall(sgl_right)
 236
 237 /* Subtract right augmented with extension from left augmented with zeros and
 238  * store into result and extension. */
 239 #define Sgl_subtract_withextension(left,right,extent,result)            \
 240     /* sgl_floating_point left,right,result; extension extent */        \
 241   Sgl_subtract(left,right,result);                                      \
 242   if((Extall(extent) = 0-Extall(extent)))                               \
 243       Sall(result) = Sall(result)-1
 244
 245 #define Sgl_addition(sgl_left,sgl_right,sgl_result) \
 246     Sall(sgl_result) = Sall(sgl_left) + Sall(sgl_right)
 247
 248 #define Sgl_xortointp1(left,right,result)                       \
 249     result = Sall(left) XOR Sall(right);
 250
 251 #define Sgl_xorfromintp1(left,right,result)                     \
 252     Sall(result) = left XOR Sall(right)
 253
 254 /* Need to Initialize */
 255 #define Sgl_makequietnan(dest)                                          \
 256     Sall(dest) = ((SGL_EMAX+SGL_BIAS)+1)<< (32-(1+SGL_EXP_LENGTH))      \
 257                  | (1<<(32-(1+SGL_EXP_LENGTH+2)))
 258 #define Sgl_makesignalingnan(dest)                                      \
 259     Sall(dest) = ((SGL_EMAX+SGL_BIAS)+1)<< (32-(1+SGL_EXP_LENGTH))      \
 260                  | (1<<(32-(1+SGL_EXP_LENGTH+1)))
 261
 262 #define Sgl_normalize(sgl_opnd,exponent)                        \
 263         while(Sgl_iszero_hiddenhigh7mantissa(sgl_opnd)) {       \
 264                 Sgl_leftshiftby8(sgl_opnd);                     \
 265                 exponent -= 8;                                  \
 266         }                                                       \
 267         if(Sgl_iszero_hiddenhigh3mantissa(sgl_opnd)) {          \
 268                 Sgl_leftshiftby4(sgl_opnd);                     \
 269                 exponent -= 4;                                  \
 270         }                                                       \
 271         while(Sgl_iszero_hidden(sgl_opnd)) {                    \
 272                 Sgl_leftshiftby1(sgl_opnd);                     \
 273                 exponent -= 1;                                  \
 274         }
 275
 276 #define Sgl_setoverflow(sgl_opnd)                               \
 277         /* set result to infinity or largest number */          \
 278         switch (Rounding_mode()) {                              \
 279                 case ROUNDPLUS:                                 \
 280                         if (Sgl_isone_sign(sgl_opnd)) {         \
 281                                 Sgl_setlargestnegative(sgl_opnd); \
 282                         }                                       \
 283                         else {                                  \
 284                                 Sgl_setinfinitypositive(sgl_opnd); \
 285                         }                                       \
 286                         break;                                  \
 287                 case ROUNDMINUS:                                \
 288                         if (Sgl_iszero_sign(sgl_opnd)) {        \
 289                                 Sgl_setlargestpositive(sgl_opnd); \
 290                         }                                       \
 291                         else {                                  \
 292                                 Sgl_setinfinitynegative(sgl_opnd); \
 293                         }                                       \
 294                         break;                                  \
 295                 case ROUNDNEAREST:                              \
 296                         Sgl_setinfinity_exponentmantissa(sgl_opnd); \
 297                         break;                                  \
 298                 case ROUNDZERO:                                 \
 299                         Sgl_setlargest_exponentmantissa(sgl_opnd); \
 300         }
 301
 302 #define Sgl_denormalize(opnd,exponent,guard,sticky,inexact)             \
 303         Sgl_clear_signexponent_set_hidden(opnd);                        \
 304         if (exponent >= (1 - SGL_P)) {                                  \
 305                 guard = (Sall(opnd) >> -exponent) & 1;                  \
 306                 if (exponent < 0) sticky |= Sall(opnd) << (32+exponent); \
 307                 inexact = guard | sticky;                               \
 308                 Sall(opnd) >>= (1-exponent);                            \
 309         }                                                               \
 310         else {                                                          \
 311                 guard = 0;                                              \
 312                 sticky |= Sall(opnd);                                   \
 313                 inexact = sticky;                                       \
 314                 Sgl_setzero(opnd);                                      \
 315         }
 316
 317 /*
 318  * The fused multiply add instructions requires a single extended format,
 319  * with 48 bits of mantissa.
 320  */
 321 #define SGLEXT_THRESHOLD 48
 322
 323 #define Sglext_setzero(valA,valB)       \
 324     Sextallp1(valA) = 0; Sextallp2(valB) = 0
 325
 326 #define Sglext_isnotzero_mantissap2(valB) (Sextallp2(valB)!=0)
 327 #define Sglext_isone_lowp1(val) (Sextlowp1(val)!=0)
 328 #define Sglext_isone_highp2(val) (Sexthighp2(val)!=0)
 329 #define Sglext_isnotzero_low31p2(val) (Sextlow31p2(val)!=0)
 330 #define Sglext_iszero(valA,valB) (Sextallp1(valA)==0 && Sextallp2(valB)==0)
 331
 332 #define Sgl_copytoptr(src,destptr) *destptr = src
 333 #define Sgl_copyfromptr(srcptr,dest) dest = *srcptr
 334 #define Sglext_copy(srca,srcb,desta,destb) \
 335     Sextallp1(desta) = Sextallp1(srca); \
 336     Sextallp2(destb) = Sextallp2(srcb)
 337 #define Sgl_copyto_sglext(src1,dest1,dest2) \
 338         Sextallp1(dest1) = Sall(src1); Sextallp2(dest2) = 0
 339
 340 #define Sglext_swap_lower(leftp2,rightp2)  \
 341     Sextallp2(leftp2)  = Sextallp2(leftp2) XOR Sextallp2(rightp2);  \
 342     Sextallp2(rightp2) = Sextallp2(leftp2) XOR Sextallp2(rightp2);  \
 343     Sextallp2(leftp2)  = Sextallp2(leftp2) XOR Sextallp2(rightp2)
 344
 345 #define Sglext_setone_lowmantissap2(value) Deposit_dlowp2(value,1)
 346
 347 /* The high bit is always zero so arithmetic or logical shifts will work. */
 348 #define Sglext_right_align(srcdstA,srcdstB,shift) \
 349   {int shiftamt, sticky;                                                \
 350     shiftamt = shift % 32;                                              \
 351     sticky = 0;                                                         \
 352     switch (shift/32) {                                                 \
 353      case 0: if (shiftamt > 0) {                                        \
 354                 sticky = Sextallp2(srcdstB) << 32 - (shiftamt);         \
 355                 Variable_shift_double(Sextallp1(srcdstA),               \
 356                  Sextallp2(srcdstB),shiftamt,Sextallp2(srcdstB));       \
 357                 Sextallp1(srcdstA) >>= shiftamt;                        \
 358              }                                                          \
 359              break;                                                     \
 360      case 1: if (shiftamt > 0) {                                        \
 361                 sticky = (Sextallp1(srcdstA) << 32 - (shiftamt)) |      \
 362                          Sextallp2(srcdstB);                            \
 363              }                                                          \
 364              else {                                                     \
 365                 sticky = Sextallp2(srcdstB);                            \
 366              }                                                          \
 367              Sextallp2(srcdstB) = Sextallp1(srcdstA) >> shiftamt;       \
 368              Sextallp1(srcdstA) = 0;                                    \
 369              break;                                                     \
 370     }                                                                   \
 371     if (sticky) Sglext_setone_lowmantissap2(srcdstB);                   \
 372   }
 373
 374 /* The left argument is never smaller than the right argument */
 375 #define Sglext_subtract(lefta,leftb,righta,rightb,resulta,resultb) \
 376     if( Sextallp2(rightb) > Sextallp2(leftb) ) Sextallp1(lefta)--; \
 377     Sextallp2(resultb) = Sextallp2(leftb) - Sextallp2(rightb);  \
 378     Sextallp1(resulta) = Sextallp1(lefta) - Sextallp1(righta)
 379
 380 #define Sglext_addition(lefta,leftb,righta,rightb,resulta,resultb) \
 381     /* If the sum of the low words is less than either source, then \
 382      * an overflow into the next word occurred. */ \
 383     if ((Sextallp2(resultb) = Sextallp2(leftb)+Sextallp2(rightb)) < \
 384         Sextallp2(rightb)) \
 385             Sextallp1(resulta) = Sextallp1(lefta)+Sextallp1(righta)+1; \
 386     else Sextallp1(resulta) = Sextallp1(lefta)+Sextallp1(righta)
 387
 388
 389 #define Sglext_arithrightshiftby1(srcdstA,srcdstB)      \
 390     Shiftdouble(Sextallp1(srcdstA),Sextallp2(srcdstB),1,Sextallp2(srcdstB)); \
 391     Sextallp1(srcdstA) = (int)Sextallp1(srcdstA) >> 1
 392
 393 #define Sglext_leftshiftby8(valA,valB) \
 394     Shiftdouble(Sextallp1(valA),Sextallp2(valB),24,Sextallp1(valA)); \
 395     Sextallp2(valB) <<= 8
 396 #define Sglext_leftshiftby4(valA,valB) \
 397     Shiftdouble(Sextallp1(valA),Sextallp2(valB),28,Sextallp1(valA)); \
 398     Sextallp2(valB) <<= 4
 399 #define Sglext_leftshiftby3(valA,valB) \
 400     Shiftdouble(Sextallp1(valA),Sextallp2(valB),29,Sextallp1(valA)); \
 401     Sextallp2(valB) <<= 3
 402 #define Sglext_leftshiftby2(valA,valB) \
 403     Shiftdouble(Sextallp1(valA),Sextallp2(valB),30,Sextallp1(valA)); \
 404     Sextallp2(valB) <<= 2
 405 #define Sglext_leftshiftby1(valA,valB) \
 406     Shiftdouble(Sextallp1(valA),Sextallp2(valB),31,Sextallp1(valA)); \
 407     Sextallp2(valB) <<= 1
 408
 409 #define Sglext_rightshiftby4(valueA,valueB) \
 410     Shiftdouble(Sextallp1(valueA),Sextallp2(valueB),4,Sextallp2(valueB)); \
 411     Sextallp1(valueA) >>= 4
 412 #define Sglext_rightshiftby3(valueA,valueB) \
 413     Shiftdouble(Sextallp1(valueA),Sextallp2(valueB),3,Sextallp2(valueB)); \
 414     Sextallp1(valueA) >>= 3
 415 #define Sglext_rightshiftby1(valueA,valueB) \
 416     Shiftdouble(Sextallp1(valueA),Sextallp2(valueB),1,Sextallp2(valueB)); \
 417     Sextallp1(valueA) >>= 1
 418
 419 #define Sglext_xortointp1(left,right,result) Sgl_xortointp1(left,right,result)
 420 #define Sglext_xorfromintp1(left,right,result) \
 421         Sgl_xorfromintp1(left,right,result)
 422 #define Sglext_copytoint_exponentmantissa(src,dest) \
 423         Sgl_copytoint_exponentmantissa(src,dest)
 424 #define Sglext_ismagnitudeless(signlessleft,signlessright) \
 425         Sgl_ismagnitudeless(signlessleft,signlessright)
 426
 427 #define Sglext_set_sign(dbl_value,sign)  Sgl_set_sign(dbl_value,sign)
 428 #define Sglext_clear_signexponent_set_hidden(srcdst) \
 429         Sgl_clear_signexponent_set_hidden(srcdst)
 430 #define Sglext_clear_signexponent(srcdst) Sgl_clear_signexponent(srcdst)
 431 #define Sglext_clear_sign(srcdst) Sgl_clear_sign(srcdst)
 432 #define Sglext_isone_hidden(dbl_value) Sgl_isone_hidden(dbl_value)
 433
 434 #define Sglext_denormalize(opndp1,opndp2,exponent,is_tiny)              \
 435   {int sticky;                                                          \
 436     is_tiny = TRUE;                                                     \
 437     if (exponent == 0 && Sextallp2(opndp2)) {                           \
 438         switch (Rounding_mode()) {                                      \
 439         case ROUNDPLUS:                                                 \
 440                 if (Sgl_iszero_sign(opndp1))                            \
 441                         if (Sgl_isone_hiddenoverflow(opndp1 + 1))       \
 442                                 is_tiny = FALSE;                        \
 443                 break;                                                  \
 444         case ROUNDMINUS:                                                \
 445                 if (Sgl_isone_sign(opndp1)) {                           \
 446                         if (Sgl_isone_hiddenoverflow(opndp1 + 1))       \
 447                                 is_tiny = FALSE;                        \
 448                 }                                                       \
 449                 break;                                                  \
 450         case ROUNDNEAREST:                                              \
 451                 if (Sglext_isone_highp2(opndp2) &&                      \
 452                     (Sglext_isone_lowp1(opndp1) ||                      \
 453                      Sglext_isnotzero_low31p2(opndp2)))                 \
 454                         if (Sgl_isone_hiddenoverflow(opndp1 + 1))       \
 455                                 is_tiny = FALSE;                        \
 456                 break;                                                  \
 457         }                                                               \
 458     }                                                                   \
 459     Sglext_clear_signexponent_set_hidden(opndp1);                       \
 460     if (exponent >= (1-DBL_P)) {                                        \
 461         if (exponent >= -31) {                                          \
 462             if (exponent > -31) {                                       \
 463                 sticky = Sextallp2(opndp2) << 31+exponent;              \
 464                 Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \
 465                 Sextallp1(opndp1) >>= 1-exponent;                       \
 466             }                                                           \
 467             else {                                                      \
 468                 sticky = Sextallp2(opndp2);                             \
 469                 Sextallp2(opndp2) = Sextallp1(opndp1);                  \
 470                 Sextallp1(opndp1) = 0;                                  \
 471             }                                                           \
 472         }                                                               \
 473         else {                                                          \
 474             sticky = (Sextallp1(opndp1) << 31+exponent) |               \
 475                      Sextallp2(opndp2);                                 \
 476             Sextallp2(opndp2) = Sextallp1(opndp1) >> -31-exponent;      \
 477             Sextallp1(opndp1) = 0;                                      \
 478         }                                                               \
 479     }                                                                   \
 480     else {                                                              \
 481         sticky = Sextallp1(opndp1) | Sextallp2(opndp2);                 \
 482         Sglext_setzero(opndp1,opndp2);                                  \
 483     }                                                                   \
 484     if (sticky) Sglext_setone_lowmantissap2(opndp2);                    \
 485     exponent = 0;                                                       \
 486   }