dfdiv.c revision 1.4 1 1.4 thorpej /* $NetBSD: dfdiv.c,v 1.4 2007/02/22 05:46:29 thorpej Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: dfdiv.c,v 1.4 2001/03/29 03:58:17 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 /*
27 1.1 fredette * pmk1.1
28 1.1 fredette */
29 1.1 fredette /*
30 1.1 fredette * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
31 1.1 fredette *
32 1.1 fredette * To anyone who acknowledges that this file is provided "AS IS"
33 1.1 fredette * without any express or implied warranty:
34 1.1 fredette * permission to use, copy, modify, and distribute this file
35 1.1 fredette * for any purpose is hereby granted without fee, provided that
36 1.1 fredette * the above copyright notice and this notice appears in all
37 1.1 fredette * copies, and that the name of Hewlett-Packard Company not be
38 1.1 fredette * used in advertising or publicity pertaining to distribution
39 1.1 fredette * of the software without specific, written prior permission.
40 1.1 fredette * Hewlett-Packard Company makes no representations about the
41 1.1 fredette * suitability of this software for any purpose.
42 1.1 fredette */
43 1.2 lukem
44 1.2 lukem #include <sys/cdefs.h>
45 1.4 thorpej __KERNEL_RCSID(0, "$NetBSD: dfdiv.c,v 1.4 2007/02/22 05:46:29 thorpej Exp $");
46 1.1 fredette
47 1.1 fredette #include "../spmath/float.h"
48 1.1 fredette #include "../spmath/dbl_float.h"
49 1.1 fredette
50 1.1 fredette /*
51 1.1 fredette * Double Precision Floating-point Divide
52 1.1 fredette */
53 1.1 fredette
54 1.1 fredette int
55 1.1 fredette dbl_fdiv(srcptr1,srcptr2,dstptr,status)
56 1.1 fredette
57 1.1 fredette dbl_floating_point *srcptr1, *srcptr2, *dstptr;
58 1.1 fredette unsigned int *status;
59 1.1 fredette {
60 1.1 fredette register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
61 1.1 fredette register unsigned int opnd3p1, opnd3p2, resultp1, resultp2;
62 1.1 fredette register int dest_exponent, count;
63 1.4 thorpej register int inexact = false, guardbit = false, stickybit = false;
64 1.1 fredette int is_tiny;
65 1.1 fredette
66 1.1 fredette Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
67 1.1 fredette Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
68 1.1 fredette /*
69 1.1 fredette * set sign bit of result
70 1.1 fredette */
71 1.1 fredette if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
72 1.1 fredette Dbl_setnegativezerop1(resultp1);
73 1.1 fredette else Dbl_setzerop1(resultp1);
74 1.1 fredette /*
75 1.1 fredette * check first operand for NaN's or infinity
76 1.1 fredette */
77 1.1 fredette if (Dbl_isinfinity_exponent(opnd1p1)) {
78 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
79 1.1 fredette if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
80 1.1 fredette if (Dbl_isinfinity(opnd2p1,opnd2p2)) {
81 1.1 fredette /*
82 1.1 fredette * invalid since both operands
83 1.1 fredette * are infinity
84 1.1 fredette */
85 1.1 fredette if (Is_invalidtrap_enabled())
86 1.1 fredette return(INVALIDEXCEPTION);
87 1.1 fredette Set_invalidflag();
88 1.1 fredette Dbl_makequietnan(resultp1,resultp2);
89 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
90 1.1 fredette return(NOEXCEPTION);
91 1.1 fredette }
92 1.1 fredette /*
93 1.1 fredette * return infinity
94 1.1 fredette */
95 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
96 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
97 1.1 fredette return(NOEXCEPTION);
98 1.1 fredette }
99 1.1 fredette }
100 1.1 fredette else {
101 1.1 fredette /*
102 1.1 fredette * is NaN; signaling or quiet?
103 1.1 fredette */
104 1.1 fredette if (Dbl_isone_signaling(opnd1p1)) {
105 1.1 fredette /* trap if INVALIDTRAP enabled */
106 1.1 fredette if (Is_invalidtrap_enabled())
107 1.1 fredette return(INVALIDEXCEPTION);
108 1.1 fredette /* make NaN quiet */
109 1.1 fredette Set_invalidflag();
110 1.1 fredette Dbl_set_quiet(opnd1p1);
111 1.1 fredette }
112 1.1 fredette /*
113 1.1 fredette * is second operand a signaling NaN?
114 1.1 fredette */
115 1.1 fredette else if (Dbl_is_signalingnan(opnd2p1)) {
116 1.1 fredette /* trap if INVALIDTRAP enabled */
117 1.1 fredette if (Is_invalidtrap_enabled())
118 1.1 fredette return(INVALIDEXCEPTION);
119 1.1 fredette /* make NaN quiet */
120 1.1 fredette Set_invalidflag();
121 1.1 fredette Dbl_set_quiet(opnd2p1);
122 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
123 1.1 fredette return(NOEXCEPTION);
124 1.1 fredette }
125 1.1 fredette /*
126 1.1 fredette * return quiet NaN
127 1.1 fredette */
128 1.1 fredette Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
129 1.1 fredette return(NOEXCEPTION);
130 1.1 fredette }
131 1.1 fredette }
132 1.1 fredette /*
133 1.1 fredette * check second operand for NaN's or infinity
134 1.1 fredette */
135 1.1 fredette if (Dbl_isinfinity_exponent(opnd2p1)) {
136 1.1 fredette if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
137 1.1 fredette /*
138 1.1 fredette * return zero
139 1.1 fredette */
140 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
141 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
142 1.1 fredette return(NOEXCEPTION);
143 1.1 fredette }
144 1.1 fredette /*
145 1.1 fredette * is NaN; signaling or quiet?
146 1.1 fredette */
147 1.1 fredette if (Dbl_isone_signaling(opnd2p1)) {
148 1.1 fredette /* trap if INVALIDTRAP enabled */
149 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
150 1.1 fredette /* make NaN quiet */
151 1.1 fredette Set_invalidflag();
152 1.1 fredette Dbl_set_quiet(opnd2p1);
153 1.1 fredette }
154 1.1 fredette /*
155 1.1 fredette * return quiet NaN
156 1.1 fredette */
157 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
158 1.1 fredette return(NOEXCEPTION);
159 1.1 fredette }
160 1.1 fredette /*
161 1.1 fredette * check for division by zero
162 1.1 fredette */
163 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
164 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
165 1.1 fredette /* invalid since both operands are zero */
166 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
167 1.1 fredette Set_invalidflag();
168 1.1 fredette Dbl_makequietnan(resultp1,resultp2);
169 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
170 1.1 fredette return(NOEXCEPTION);
171 1.1 fredette }
172 1.1 fredette if (Is_divisionbyzerotrap_enabled())
173 1.1 fredette return(DIVISIONBYZEROEXCEPTION);
174 1.1 fredette Set_divisionbyzeroflag();
175 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
176 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
177 1.1 fredette return(NOEXCEPTION);
178 1.1 fredette }
179 1.1 fredette /*
180 1.1 fredette * Generate exponent
181 1.1 fredette */
182 1.1 fredette dest_exponent = Dbl_exponent(opnd1p1) - Dbl_exponent(opnd2p1) + DBL_BIAS;
183 1.1 fredette
184 1.1 fredette /*
185 1.1 fredette * Generate mantissa
186 1.1 fredette */
187 1.1 fredette if (Dbl_isnotzero_exponent(opnd1p1)) {
188 1.1 fredette /* set hidden bit */
189 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd1p1);
190 1.1 fredette }
191 1.1 fredette else {
192 1.1 fredette /* check for zero */
193 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
194 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
195 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
196 1.1 fredette return(NOEXCEPTION);
197 1.1 fredette }
198 1.1 fredette /* is denormalized, want to normalize */
199 1.1 fredette Dbl_clear_signexponent(opnd1p1);
200 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
201 1.1 fredette Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
202 1.1 fredette }
203 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
204 1.1 fredette if (Dbl_isnotzero_exponent(opnd2p1)) {
205 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd2p1);
206 1.1 fredette }
207 1.1 fredette else {
208 1.1 fredette /* is denormalized; want to normalize */
209 1.1 fredette Dbl_clear_signexponent(opnd2p1);
210 1.1 fredette Dbl_leftshiftby1(opnd2p1,opnd2p2);
211 1.1 fredette while (Dbl_iszero_hiddenhigh7mantissa(opnd2p1)) {
212 1.1 fredette dest_exponent+=8;
213 1.1 fredette Dbl_leftshiftby8(opnd2p1,opnd2p2);
214 1.1 fredette }
215 1.1 fredette if (Dbl_iszero_hiddenhigh3mantissa(opnd2p1)) {
216 1.1 fredette dest_exponent+=4;
217 1.1 fredette Dbl_leftshiftby4(opnd2p1,opnd2p2);
218 1.1 fredette }
219 1.1 fredette while (Dbl_iszero_hidden(opnd2p1)) {
220 1.1 fredette dest_exponent++;
221 1.1 fredette Dbl_leftshiftby1(opnd2p1,opnd2p2);
222 1.1 fredette }
223 1.1 fredette }
224 1.1 fredette
225 1.1 fredette /* Divide the source mantissas */
226 1.1 fredette
227 1.1 fredette /*
228 1.1 fredette * A non-restoring divide algorithm is used.
229 1.1 fredette */
230 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
231 1.1 fredette Dbl_setzero(opnd3p1,opnd3p2);
232 1.1 fredette for (count=1; count <= DBL_P && (opnd1p1 || opnd1p2); count++) {
233 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
234 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
235 1.1 fredette if (Dbl_iszero_sign(opnd1p1)) {
236 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
237 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
238 1.1 fredette }
239 1.1 fredette else {
240 1.1 fredette Twoword_add(opnd1p1, opnd1p2, opnd2p1, opnd2p2);
241 1.1 fredette }
242 1.1 fredette }
243 1.1 fredette if (count <= DBL_P) {
244 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
245 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
246 1.1 fredette Dbl_leftshift(opnd3p1,opnd3p2,(DBL_P-count));
247 1.1 fredette if (Dbl_iszero_hidden(opnd3p1)) {
248 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
249 1.1 fredette dest_exponent--;
250 1.1 fredette }
251 1.1 fredette }
252 1.1 fredette else {
253 1.1 fredette if (Dbl_iszero_hidden(opnd3p1)) {
254 1.1 fredette /* need to get one more bit of result */
255 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
256 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
257 1.1 fredette if (Dbl_iszero_sign(opnd1p1)) {
258 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
259 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
260 1.1 fredette }
261 1.1 fredette else {
262 1.1 fredette Twoword_add(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
263 1.1 fredette }
264 1.1 fredette dest_exponent--;
265 1.1 fredette }
266 1.4 thorpej if (Dbl_iszero_sign(opnd1p1)) guardbit = true;
267 1.1 fredette stickybit = Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2);
268 1.1 fredette }
269 1.1 fredette inexact = guardbit | stickybit;
270 1.1 fredette
271 1.1 fredette /*
272 1.1 fredette * round result
273 1.1 fredette */
274 1.1 fredette if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
275 1.1 fredette Dbl_clear_signexponent(opnd3p1);
276 1.1 fredette switch (Rounding_mode()) {
277 1.1 fredette case ROUNDPLUS:
278 1.1 fredette if (Dbl_iszero_sign(resultp1))
279 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
280 1.1 fredette break;
281 1.1 fredette case ROUNDMINUS:
282 1.1 fredette if (Dbl_isone_sign(resultp1))
283 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
284 1.1 fredette break;
285 1.1 fredette case ROUNDNEAREST:
286 1.1 fredette if (guardbit && (stickybit ||
287 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
288 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
289 1.1 fredette }
290 1.1 fredette }
291 1.1 fredette if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
292 1.1 fredette }
293 1.1 fredette Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
294 1.1 fredette
295 1.1 fredette /*
296 1.1 fredette * Test for overflow
297 1.1 fredette */
298 1.1 fredette if (dest_exponent >= DBL_INFINITY_EXPONENT) {
299 1.1 fredette /* trap if OVERFLOWTRAP enabled */
300 1.1 fredette if (Is_overflowtrap_enabled()) {
301 1.1 fredette /*
302 1.1 fredette * Adjust bias of result
303 1.1 fredette */
304 1.1 fredette Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
305 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
306 1.1 fredette if (inexact) {
307 1.1 fredette if (Is_inexacttrap_enabled())
308 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
309 1.1 fredette else
310 1.1 fredette Set_inexactflag();
311 1.1 fredette }
312 1.1 fredette return(OVERFLOWEXCEPTION);
313 1.1 fredette }
314 1.1 fredette Set_overflowflag();
315 1.1 fredette /* set result to infinity or largest number */
316 1.1 fredette Dbl_setoverflow(resultp1,resultp2);
317 1.4 thorpej inexact = true;
318 1.1 fredette }
319 1.1 fredette /*
320 1.1 fredette * Test for underflow
321 1.1 fredette */
322 1.1 fredette else if (dest_exponent <= 0) {
323 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
324 1.1 fredette if (Is_underflowtrap_enabled()) {
325 1.1 fredette /*
326 1.1 fredette * Adjust bias of result
327 1.1 fredette */
328 1.1 fredette Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
329 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
330 1.1 fredette if (inexact) {
331 1.1 fredette if (Is_inexacttrap_enabled())
332 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
333 1.1 fredette else
334 1.1 fredette Set_inexactflag();
335 1.1 fredette }
336 1.1 fredette return(UNDERFLOWEXCEPTION);
337 1.1 fredette }
338 1.1 fredette
339 1.1 fredette /* Determine if should set underflow flag */
340 1.4 thorpej is_tiny = true;
341 1.1 fredette if (dest_exponent == 0 && inexact) {
342 1.1 fredette switch (Rounding_mode()) {
343 1.1 fredette case ROUNDPLUS:
344 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
345 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
346 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
347 1.4 thorpej is_tiny = false;
348 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
349 1.1 fredette }
350 1.1 fredette break;
351 1.1 fredette case ROUNDMINUS:
352 1.1 fredette if (Dbl_isone_sign(resultp1)) {
353 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
354 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
355 1.4 thorpej is_tiny = false;
356 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
357 1.1 fredette }
358 1.1 fredette break;
359 1.1 fredette case ROUNDNEAREST:
360 1.1 fredette if (guardbit && (stickybit ||
361 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
362 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
363 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
364 1.4 thorpej is_tiny = false;
365 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
366 1.1 fredette }
367 1.1 fredette break;
368 1.1 fredette }
369 1.1 fredette }
370 1.1 fredette
371 1.1 fredette /*
372 1.1 fredette * denormalize result or set to signed zero
373 1.1 fredette */
374 1.1 fredette stickybit = inexact;
375 1.1 fredette Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
376 1.1 fredette stickybit,inexact);
377 1.1 fredette
378 1.1 fredette /* return rounded number */
379 1.1 fredette if (inexact) {
380 1.1 fredette switch (Rounding_mode()) {
381 1.1 fredette case ROUNDPLUS:
382 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
383 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
384 1.1 fredette }
385 1.1 fredette break;
386 1.1 fredette case ROUNDMINUS:
387 1.1 fredette if (Dbl_isone_sign(resultp1)) {
388 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
389 1.1 fredette }
390 1.1 fredette break;
391 1.1 fredette case ROUNDNEAREST:
392 1.1 fredette if (guardbit && (stickybit ||
393 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
394 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
395 1.1 fredette }
396 1.1 fredette break;
397 1.1 fredette }
398 1.1 fredette if (is_tiny)
399 1.1 fredette Set_underflowflag();
400 1.1 fredette }
401 1.1 fredette Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
402 1.1 fredette }
403 1.1 fredette else Dbl_set_exponent(resultp1,dest_exponent);
404 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
405 1.1 fredette
406 1.1 fredette /* check for inexact */
407 1.1 fredette if (inexact) {
408 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
409 1.1 fredette else Set_inexactflag();
410 1.1 fredette }
411 1.1 fredette return(NOEXCEPTION);
412 1.1 fredette }
413