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sgl_float.h
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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) <[email protected]>
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  }
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