dfdiv.c revision 1.5 1 1.5 skrll /* $NetBSD: dfdiv.c,v 1.5 2012/02/04 17:03:09 skrll 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 1.5 skrll __KERNEL_RCSID(0, "$NetBSD: dfdiv.c,v 1.5 2012/02/04 17:03:09 skrll 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 1.5 skrll dbl_fdiv(dbl_floating_point *srcptr1, dbl_floating_point *srcptr2,
56 1.5 skrll dbl_floating_point *dstptr, unsigned int *status)
57 1.1 fredette {
58 1.1 fredette register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
59 1.1 fredette register unsigned int opnd3p1, opnd3p2, resultp1, resultp2;
60 1.1 fredette register int dest_exponent, count;
61 1.4 thorpej register int inexact = false, guardbit = false, stickybit = false;
62 1.1 fredette int is_tiny;
63 1.1 fredette
64 1.1 fredette Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
65 1.1 fredette Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
66 1.1 fredette /*
67 1.1 fredette * set sign bit of result
68 1.1 fredette */
69 1.1 fredette if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
70 1.1 fredette Dbl_setnegativezerop1(resultp1);
71 1.1 fredette else Dbl_setzerop1(resultp1);
72 1.1 fredette /*
73 1.1 fredette * check first operand for NaN's or infinity
74 1.1 fredette */
75 1.1 fredette if (Dbl_isinfinity_exponent(opnd1p1)) {
76 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
77 1.1 fredette if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
78 1.1 fredette if (Dbl_isinfinity(opnd2p1,opnd2p2)) {
79 1.1 fredette /*
80 1.1 fredette * invalid since both operands
81 1.1 fredette * are infinity
82 1.1 fredette */
83 1.1 fredette if (Is_invalidtrap_enabled())
84 1.1 fredette return(INVALIDEXCEPTION);
85 1.1 fredette Set_invalidflag();
86 1.1 fredette Dbl_makequietnan(resultp1,resultp2);
87 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
88 1.1 fredette return(NOEXCEPTION);
89 1.1 fredette }
90 1.1 fredette /*
91 1.1 fredette * return infinity
92 1.1 fredette */
93 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
94 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
95 1.1 fredette return(NOEXCEPTION);
96 1.1 fredette }
97 1.1 fredette }
98 1.1 fredette else {
99 1.1 fredette /*
100 1.1 fredette * is NaN; signaling or quiet?
101 1.1 fredette */
102 1.1 fredette if (Dbl_isone_signaling(opnd1p1)) {
103 1.1 fredette /* trap if INVALIDTRAP enabled */
104 1.1 fredette if (Is_invalidtrap_enabled())
105 1.1 fredette return(INVALIDEXCEPTION);
106 1.1 fredette /* make NaN quiet */
107 1.1 fredette Set_invalidflag();
108 1.1 fredette Dbl_set_quiet(opnd1p1);
109 1.1 fredette }
110 1.1 fredette /*
111 1.1 fredette * is second operand a signaling NaN?
112 1.1 fredette */
113 1.1 fredette else if (Dbl_is_signalingnan(opnd2p1)) {
114 1.1 fredette /* trap if INVALIDTRAP enabled */
115 1.1 fredette if (Is_invalidtrap_enabled())
116 1.1 fredette return(INVALIDEXCEPTION);
117 1.1 fredette /* make NaN quiet */
118 1.1 fredette Set_invalidflag();
119 1.1 fredette Dbl_set_quiet(opnd2p1);
120 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
121 1.1 fredette return(NOEXCEPTION);
122 1.1 fredette }
123 1.1 fredette /*
124 1.1 fredette * return quiet NaN
125 1.1 fredette */
126 1.1 fredette Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
127 1.1 fredette return(NOEXCEPTION);
128 1.1 fredette }
129 1.1 fredette }
130 1.1 fredette /*
131 1.1 fredette * check second operand for NaN's or infinity
132 1.1 fredette */
133 1.1 fredette if (Dbl_isinfinity_exponent(opnd2p1)) {
134 1.1 fredette if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
135 1.1 fredette /*
136 1.1 fredette * return zero
137 1.1 fredette */
138 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
139 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
140 1.1 fredette return(NOEXCEPTION);
141 1.1 fredette }
142 1.1 fredette /*
143 1.1 fredette * is NaN; signaling or quiet?
144 1.1 fredette */
145 1.1 fredette if (Dbl_isone_signaling(opnd2p1)) {
146 1.1 fredette /* trap if INVALIDTRAP enabled */
147 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
148 1.1 fredette /* make NaN quiet */
149 1.1 fredette Set_invalidflag();
150 1.1 fredette Dbl_set_quiet(opnd2p1);
151 1.1 fredette }
152 1.1 fredette /*
153 1.1 fredette * return quiet NaN
154 1.1 fredette */
155 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
156 1.1 fredette return(NOEXCEPTION);
157 1.1 fredette }
158 1.1 fredette /*
159 1.1 fredette * check for division by zero
160 1.1 fredette */
161 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
162 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
163 1.1 fredette /* invalid since both operands are zero */
164 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
165 1.1 fredette Set_invalidflag();
166 1.1 fredette Dbl_makequietnan(resultp1,resultp2);
167 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
168 1.1 fredette return(NOEXCEPTION);
169 1.1 fredette }
170 1.1 fredette if (Is_divisionbyzerotrap_enabled())
171 1.1 fredette return(DIVISIONBYZEROEXCEPTION);
172 1.1 fredette Set_divisionbyzeroflag();
173 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
174 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
175 1.1 fredette return(NOEXCEPTION);
176 1.1 fredette }
177 1.1 fredette /*
178 1.1 fredette * Generate exponent
179 1.1 fredette */
180 1.1 fredette dest_exponent = Dbl_exponent(opnd1p1) - Dbl_exponent(opnd2p1) + DBL_BIAS;
181 1.1 fredette
182 1.1 fredette /*
183 1.1 fredette * Generate mantissa
184 1.1 fredette */
185 1.1 fredette if (Dbl_isnotzero_exponent(opnd1p1)) {
186 1.1 fredette /* set hidden bit */
187 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd1p1);
188 1.1 fredette }
189 1.1 fredette else {
190 1.1 fredette /* check for zero */
191 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
192 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
193 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
194 1.1 fredette return(NOEXCEPTION);
195 1.1 fredette }
196 1.1 fredette /* is denormalized, want to normalize */
197 1.1 fredette Dbl_clear_signexponent(opnd1p1);
198 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
199 1.1 fredette Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
200 1.1 fredette }
201 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
202 1.1 fredette if (Dbl_isnotzero_exponent(opnd2p1)) {
203 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd2p1);
204 1.1 fredette }
205 1.1 fredette else {
206 1.1 fredette /* is denormalized; want to normalize */
207 1.1 fredette Dbl_clear_signexponent(opnd2p1);
208 1.1 fredette Dbl_leftshiftby1(opnd2p1,opnd2p2);
209 1.1 fredette while (Dbl_iszero_hiddenhigh7mantissa(opnd2p1)) {
210 1.1 fredette dest_exponent+=8;
211 1.1 fredette Dbl_leftshiftby8(opnd2p1,opnd2p2);
212 1.1 fredette }
213 1.1 fredette if (Dbl_iszero_hiddenhigh3mantissa(opnd2p1)) {
214 1.1 fredette dest_exponent+=4;
215 1.1 fredette Dbl_leftshiftby4(opnd2p1,opnd2p2);
216 1.1 fredette }
217 1.1 fredette while (Dbl_iszero_hidden(opnd2p1)) {
218 1.1 fredette dest_exponent++;
219 1.1 fredette Dbl_leftshiftby1(opnd2p1,opnd2p2);
220 1.1 fredette }
221 1.1 fredette }
222 1.1 fredette
223 1.1 fredette /* Divide the source mantissas */
224 1.1 fredette
225 1.1 fredette /*
226 1.1 fredette * A non-restoring divide algorithm is used.
227 1.1 fredette */
228 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
229 1.1 fredette Dbl_setzero(opnd3p1,opnd3p2);
230 1.1 fredette for (count=1; count <= DBL_P && (opnd1p1 || opnd1p2); count++) {
231 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
232 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
233 1.1 fredette if (Dbl_iszero_sign(opnd1p1)) {
234 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
235 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
236 1.1 fredette }
237 1.1 fredette else {
238 1.1 fredette Twoword_add(opnd1p1, opnd1p2, opnd2p1, opnd2p2);
239 1.1 fredette }
240 1.1 fredette }
241 1.1 fredette if (count <= DBL_P) {
242 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
243 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
244 1.1 fredette Dbl_leftshift(opnd3p1,opnd3p2,(DBL_P-count));
245 1.1 fredette if (Dbl_iszero_hidden(opnd3p1)) {
246 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
247 1.1 fredette dest_exponent--;
248 1.1 fredette }
249 1.1 fredette }
250 1.1 fredette else {
251 1.1 fredette if (Dbl_iszero_hidden(opnd3p1)) {
252 1.1 fredette /* need to get one more bit of result */
253 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
254 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
255 1.1 fredette if (Dbl_iszero_sign(opnd1p1)) {
256 1.1 fredette Dbl_setone_lowmantissap2(opnd3p2);
257 1.1 fredette Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
258 1.1 fredette }
259 1.1 fredette else {
260 1.1 fredette Twoword_add(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
261 1.1 fredette }
262 1.1 fredette dest_exponent--;
263 1.1 fredette }
264 1.4 thorpej if (Dbl_iszero_sign(opnd1p1)) guardbit = true;
265 1.1 fredette stickybit = Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2);
266 1.1 fredette }
267 1.1 fredette inexact = guardbit | stickybit;
268 1.1 fredette
269 1.1 fredette /*
270 1.1 fredette * round result
271 1.1 fredette */
272 1.1 fredette if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
273 1.1 fredette Dbl_clear_signexponent(opnd3p1);
274 1.1 fredette switch (Rounding_mode()) {
275 1.1 fredette case ROUNDPLUS:
276 1.1 fredette if (Dbl_iszero_sign(resultp1))
277 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
278 1.1 fredette break;
279 1.1 fredette case ROUNDMINUS:
280 1.1 fredette if (Dbl_isone_sign(resultp1))
281 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
282 1.1 fredette break;
283 1.1 fredette case ROUNDNEAREST:
284 1.1 fredette if (guardbit && (stickybit ||
285 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
286 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
287 1.1 fredette }
288 1.1 fredette }
289 1.1 fredette if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
290 1.1 fredette }
291 1.1 fredette Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
292 1.1 fredette
293 1.1 fredette /*
294 1.1 fredette * Test for overflow
295 1.1 fredette */
296 1.1 fredette if (dest_exponent >= DBL_INFINITY_EXPONENT) {
297 1.1 fredette /* trap if OVERFLOWTRAP enabled */
298 1.1 fredette if (Is_overflowtrap_enabled()) {
299 1.1 fredette /*
300 1.1 fredette * Adjust bias of result
301 1.1 fredette */
302 1.1 fredette Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
303 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
304 1.1 fredette if (inexact) {
305 1.1 fredette if (Is_inexacttrap_enabled())
306 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
307 1.1 fredette else
308 1.1 fredette Set_inexactflag();
309 1.1 fredette }
310 1.1 fredette return(OVERFLOWEXCEPTION);
311 1.1 fredette }
312 1.1 fredette Set_overflowflag();
313 1.1 fredette /* set result to infinity or largest number */
314 1.1 fredette Dbl_setoverflow(resultp1,resultp2);
315 1.4 thorpej inexact = true;
316 1.1 fredette }
317 1.1 fredette /*
318 1.1 fredette * Test for underflow
319 1.1 fredette */
320 1.1 fredette else if (dest_exponent <= 0) {
321 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
322 1.1 fredette if (Is_underflowtrap_enabled()) {
323 1.1 fredette /*
324 1.1 fredette * Adjust bias of result
325 1.1 fredette */
326 1.1 fredette Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
327 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
328 1.1 fredette if (inexact) {
329 1.1 fredette if (Is_inexacttrap_enabled())
330 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
331 1.1 fredette else
332 1.1 fredette Set_inexactflag();
333 1.1 fredette }
334 1.1 fredette return(UNDERFLOWEXCEPTION);
335 1.1 fredette }
336 1.1 fredette
337 1.1 fredette /* Determine if should set underflow flag */
338 1.4 thorpej is_tiny = true;
339 1.1 fredette if (dest_exponent == 0 && inexact) {
340 1.1 fredette switch (Rounding_mode()) {
341 1.1 fredette case ROUNDPLUS:
342 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
343 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
344 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
345 1.4 thorpej is_tiny = false;
346 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
347 1.1 fredette }
348 1.1 fredette break;
349 1.1 fredette case ROUNDMINUS:
350 1.1 fredette if (Dbl_isone_sign(resultp1)) {
351 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
352 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
353 1.4 thorpej is_tiny = false;
354 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
355 1.1 fredette }
356 1.1 fredette break;
357 1.1 fredette case ROUNDNEAREST:
358 1.1 fredette if (guardbit && (stickybit ||
359 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
360 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
361 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
362 1.4 thorpej is_tiny = false;
363 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
364 1.1 fredette }
365 1.1 fredette break;
366 1.1 fredette }
367 1.1 fredette }
368 1.1 fredette
369 1.1 fredette /*
370 1.1 fredette * denormalize result or set to signed zero
371 1.1 fredette */
372 1.1 fredette stickybit = inexact;
373 1.1 fredette Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
374 1.1 fredette stickybit,inexact);
375 1.1 fredette
376 1.1 fredette /* return rounded number */
377 1.1 fredette if (inexact) {
378 1.1 fredette switch (Rounding_mode()) {
379 1.1 fredette case ROUNDPLUS:
380 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
381 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
382 1.1 fredette }
383 1.1 fredette break;
384 1.1 fredette case ROUNDMINUS:
385 1.1 fredette if (Dbl_isone_sign(resultp1)) {
386 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
387 1.1 fredette }
388 1.1 fredette break;
389 1.1 fredette case ROUNDNEAREST:
390 1.1 fredette if (guardbit && (stickybit ||
391 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
392 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
393 1.1 fredette }
394 1.1 fredette break;
395 1.1 fredette }
396 1.1 fredette if (is_tiny)
397 1.1 fredette Set_underflowflag();
398 1.1 fredette }
399 1.1 fredette Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
400 1.1 fredette }
401 1.1 fredette else Dbl_set_exponent(resultp1,dest_exponent);
402 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
403 1.1 fredette
404 1.1 fredette /* check for inexact */
405 1.1 fredette if (inexact) {
406 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
407 1.1 fredette else Set_inexactflag();
408 1.1 fredette }
409 1.1 fredette return(NOEXCEPTION);
410 1.1 fredette }
411