dbl_float.h revision 1.3 1 1.3 skrll /* $NetBSD: dbl_float.h,v 1.3 2009/01/27 11:49:54 skrll 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 1.1 fredette /* 32-bit word grabing 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