sfdiv.c revision 1.2 1 1.2 lukem /* $NetBSD: sfdiv.c,v 1.2 2003/07/15 02:29:42 lukem Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: sfdiv.c,v 1.4 2001/03/29 03:58:19 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 1.2 lukem __KERNEL_RCSID(0, "$NetBSD: sfdiv.c,v 1.2 2003/07/15 02:29:42 lukem Exp $");
46 1.1 fredette
47 1.1 fredette #include "../spmath/float.h"
48 1.1 fredette #include "../spmath/sgl_float.h"
49 1.1 fredette
50 1.1 fredette /*
51 1.1 fredette * Single Precision Floating-point Divide
52 1.1 fredette */
53 1.1 fredette int
54 1.1 fredette sgl_fdiv(srcptr1,srcptr2,dstptr,status)
55 1.1 fredette
56 1.1 fredette sgl_floating_point *srcptr1, *srcptr2, *dstptr;
57 1.1 fredette unsigned int *status;
58 1.1 fredette {
59 1.1 fredette register unsigned int opnd1, opnd2, opnd3, result;
60 1.1 fredette register int dest_exponent, count;
61 1.1 fredette register int inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
62 1.1 fredette int is_tiny;
63 1.1 fredette
64 1.1 fredette opnd1 = *srcptr1;
65 1.1 fredette opnd2 = *srcptr2;
66 1.1 fredette /*
67 1.1 fredette * set sign bit of result
68 1.1 fredette */
69 1.1 fredette if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
70 1.1 fredette else Sgl_setzero(result);
71 1.1 fredette /*
72 1.1 fredette * check first operand for NaN's or infinity
73 1.1 fredette */
74 1.1 fredette if (Sgl_isinfinity_exponent(opnd1)) {
75 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
76 1.1 fredette if (Sgl_isnotnan(opnd2)) {
77 1.1 fredette if (Sgl_isinfinity(opnd2)) {
78 1.1 fredette /*
79 1.1 fredette * invalid since both operands
80 1.1 fredette * are infinity
81 1.1 fredette */
82 1.1 fredette if (Is_invalidtrap_enabled())
83 1.1 fredette return(INVALIDEXCEPTION);
84 1.1 fredette Set_invalidflag();
85 1.1 fredette Sgl_makequietnan(result);
86 1.1 fredette *dstptr = result;
87 1.1 fredette return(NOEXCEPTION);
88 1.1 fredette }
89 1.1 fredette /*
90 1.1 fredette * return infinity
91 1.1 fredette */
92 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
93 1.1 fredette *dstptr = result;
94 1.1 fredette return(NOEXCEPTION);
95 1.1 fredette }
96 1.1 fredette }
97 1.1 fredette else {
98 1.1 fredette /*
99 1.1 fredette * is NaN; signaling or quiet?
100 1.1 fredette */
101 1.1 fredette if (Sgl_isone_signaling(opnd1)) {
102 1.1 fredette /* trap if INVALIDTRAP enabled */
103 1.1 fredette if (Is_invalidtrap_enabled())
104 1.1 fredette return(INVALIDEXCEPTION);
105 1.1 fredette /* make NaN quiet */
106 1.1 fredette Set_invalidflag();
107 1.1 fredette Sgl_set_quiet(opnd1);
108 1.1 fredette }
109 1.1 fredette /*
110 1.1 fredette * is second operand a signaling NaN?
111 1.1 fredette */
112 1.1 fredette else if (Sgl_is_signalingnan(opnd2)) {
113 1.1 fredette /* trap if INVALIDTRAP enabled */
114 1.1 fredette if (Is_invalidtrap_enabled())
115 1.1 fredette return(INVALIDEXCEPTION);
116 1.1 fredette /* make NaN quiet */
117 1.1 fredette Set_invalidflag();
118 1.1 fredette Sgl_set_quiet(opnd2);
119 1.1 fredette *dstptr = opnd2;
120 1.1 fredette return(NOEXCEPTION);
121 1.1 fredette }
122 1.1 fredette /*
123 1.1 fredette * return quiet NaN
124 1.1 fredette */
125 1.1 fredette *dstptr = opnd1;
126 1.1 fredette return(NOEXCEPTION);
127 1.1 fredette }
128 1.1 fredette }
129 1.1 fredette /*
130 1.1 fredette * check second operand for NaN's or infinity
131 1.1 fredette */
132 1.1 fredette if (Sgl_isinfinity_exponent(opnd2)) {
133 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) {
134 1.1 fredette /*
135 1.1 fredette * return zero
136 1.1 fredette */
137 1.1 fredette Sgl_setzero_exponentmantissa(result);
138 1.1 fredette *dstptr = result;
139 1.1 fredette return(NOEXCEPTION);
140 1.1 fredette }
141 1.1 fredette /*
142 1.1 fredette * is NaN; signaling or quiet?
143 1.1 fredette */
144 1.1 fredette if (Sgl_isone_signaling(opnd2)) {
145 1.1 fredette /* trap if INVALIDTRAP enabled */
146 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
147 1.1 fredette /* make NaN quiet */
148 1.1 fredette Set_invalidflag();
149 1.1 fredette Sgl_set_quiet(opnd2);
150 1.1 fredette }
151 1.1 fredette /*
152 1.1 fredette * return quiet NaN
153 1.1 fredette */
154 1.1 fredette *dstptr = opnd2;
155 1.1 fredette return(NOEXCEPTION);
156 1.1 fredette }
157 1.1 fredette /*
158 1.1 fredette * check for division by zero
159 1.1 fredette */
160 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd2)) {
161 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd1)) {
162 1.1 fredette /* invalid since both operands are zero */
163 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
164 1.1 fredette Set_invalidflag();
165 1.1 fredette Sgl_makequietnan(result);
166 1.1 fredette *dstptr = result;
167 1.1 fredette return(NOEXCEPTION);
168 1.1 fredette }
169 1.1 fredette if (Is_divisionbyzerotrap_enabled())
170 1.1 fredette return(DIVISIONBYZEROEXCEPTION);
171 1.1 fredette Set_divisionbyzeroflag();
172 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
173 1.1 fredette *dstptr = result;
174 1.1 fredette return(NOEXCEPTION);
175 1.1 fredette }
176 1.1 fredette /*
177 1.1 fredette * Generate exponent
178 1.1 fredette */
179 1.1 fredette dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS;
180 1.1 fredette
181 1.1 fredette /*
182 1.1 fredette * Generate mantissa
183 1.1 fredette */
184 1.1 fredette if (Sgl_isnotzero_exponent(opnd1)) {
185 1.1 fredette /* set hidden bit */
186 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1);
187 1.1 fredette }
188 1.1 fredette else {
189 1.1 fredette /* check for zero */
190 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
191 1.1 fredette Sgl_setzero_exponentmantissa(result);
192 1.1 fredette *dstptr = result;
193 1.1 fredette return(NOEXCEPTION);
194 1.1 fredette }
195 1.1 fredette /* is denormalized; want to normalize */
196 1.1 fredette Sgl_clear_signexponent(opnd1);
197 1.1 fredette Sgl_leftshiftby1(opnd1);
198 1.1 fredette Sgl_normalize(opnd1,dest_exponent);
199 1.1 fredette }
200 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
201 1.1 fredette if (Sgl_isnotzero_exponent(opnd2)) {
202 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2);
203 1.1 fredette }
204 1.1 fredette else {
205 1.1 fredette /* is denormalized; want to normalize */
206 1.1 fredette Sgl_clear_signexponent(opnd2);
207 1.1 fredette Sgl_leftshiftby1(opnd2);
208 1.1 fredette while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) {
209 1.1 fredette Sgl_leftshiftby8(opnd2);
210 1.1 fredette dest_exponent += 8;
211 1.1 fredette }
212 1.1 fredette if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) {
213 1.1 fredette Sgl_leftshiftby4(opnd2);
214 1.1 fredette dest_exponent += 4;
215 1.1 fredette }
216 1.1 fredette while(Sgl_iszero_hidden(opnd2)) {
217 1.1 fredette Sgl_leftshiftby1(opnd2);
218 1.1 fredette dest_exponent += 1;
219 1.1 fredette }
220 1.1 fredette }
221 1.1 fredette
222 1.1 fredette /* Divide the source mantissas */
223 1.1 fredette
224 1.1 fredette /*
225 1.1 fredette * A non_restoring divide algorithm is used.
226 1.1 fredette */
227 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
228 1.1 fredette Sgl_setzero(opnd3);
229 1.1 fredette for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) {
230 1.1 fredette Sgl_leftshiftby1(opnd1);
231 1.1 fredette Sgl_leftshiftby1(opnd3);
232 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
233 1.1 fredette Sgl_setone_lowmantissa(opnd3);
234 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
235 1.1 fredette }
236 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
237 1.1 fredette }
238 1.1 fredette if (count <= SGL_P) {
239 1.1 fredette Sgl_leftshiftby1(opnd3);
240 1.1 fredette Sgl_setone_lowmantissa(opnd3);
241 1.1 fredette Sgl_leftshift(opnd3,SGL_P-count);
242 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
243 1.1 fredette Sgl_leftshiftby1(opnd3);
244 1.1 fredette dest_exponent--;
245 1.1 fredette }
246 1.1 fredette }
247 1.1 fredette else {
248 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
249 1.1 fredette /* need to get one more bit of result */
250 1.1 fredette Sgl_leftshiftby1(opnd1);
251 1.1 fredette Sgl_leftshiftby1(opnd3);
252 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
253 1.1 fredette Sgl_setone_lowmantissa(opnd3);
254 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
255 1.1 fredette }
256 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
257 1.1 fredette dest_exponent--;
258 1.1 fredette }
259 1.1 fredette if (Sgl_iszero_sign(opnd1)) guardbit = TRUE;
260 1.1 fredette stickybit = Sgl_all(opnd1);
261 1.1 fredette }
262 1.1 fredette inexact = guardbit | stickybit;
263 1.1 fredette
264 1.1 fredette /*
265 1.1 fredette * round result
266 1.1 fredette */
267 1.1 fredette if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
268 1.1 fredette Sgl_clear_signexponent(opnd3);
269 1.1 fredette switch (Rounding_mode()) {
270 1.1 fredette case ROUNDPLUS:
271 1.1 fredette if (Sgl_iszero_sign(result))
272 1.1 fredette Sgl_increment_mantissa(opnd3);
273 1.1 fredette break;
274 1.1 fredette case ROUNDMINUS:
275 1.1 fredette if (Sgl_isone_sign(result))
276 1.1 fredette Sgl_increment_mantissa(opnd3);
277 1.1 fredette break;
278 1.1 fredette case ROUNDNEAREST:
279 1.1 fredette if (guardbit &&
280 1.1 fredette (stickybit || Sgl_isone_lowmantissa(opnd3)))
281 1.1 fredette Sgl_increment_mantissa(opnd3);
282 1.1 fredette }
283 1.1 fredette if (Sgl_isone_hidden(opnd3)) dest_exponent++;
284 1.1 fredette }
285 1.1 fredette Sgl_set_mantissa(result,opnd3);
286 1.1 fredette
287 1.1 fredette /*
288 1.1 fredette * Test for overflow
289 1.1 fredette */
290 1.1 fredette if (dest_exponent >= SGL_INFINITY_EXPONENT) {
291 1.1 fredette /* trap if OVERFLOWTRAP enabled */
292 1.1 fredette if (Is_overflowtrap_enabled()) {
293 1.1 fredette /*
294 1.1 fredette * Adjust bias of result
295 1.1 fredette */
296 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
297 1.1 fredette *dstptr = result;
298 1.1 fredette if (inexact) {
299 1.1 fredette if (Is_inexacttrap_enabled())
300 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
301 1.1 fredette else Set_inexactflag();
302 1.1 fredette }
303 1.1 fredette return(OVERFLOWEXCEPTION);
304 1.1 fredette }
305 1.1 fredette Set_overflowflag();
306 1.1 fredette /* set result to infinity or largest number */
307 1.1 fredette Sgl_setoverflow(result);
308 1.1 fredette inexact = TRUE;
309 1.1 fredette }
310 1.1 fredette /*
311 1.1 fredette * Test for underflow
312 1.1 fredette */
313 1.1 fredette else if (dest_exponent <= 0) {
314 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
315 1.1 fredette if (Is_underflowtrap_enabled()) {
316 1.1 fredette /*
317 1.1 fredette * Adjust bias of result
318 1.1 fredette */
319 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl);
320 1.1 fredette *dstptr = result;
321 1.1 fredette if (inexact) {
322 1.1 fredette if (Is_inexacttrap_enabled())
323 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
324 1.1 fredette else Set_inexactflag();
325 1.1 fredette }
326 1.1 fredette return(UNDERFLOWEXCEPTION);
327 1.1 fredette }
328 1.1 fredette
329 1.1 fredette /* Determine if should set underflow flag */
330 1.1 fredette is_tiny = TRUE;
331 1.1 fredette if (dest_exponent == 0 && inexact) {
332 1.1 fredette switch (Rounding_mode()) {
333 1.1 fredette case ROUNDPLUS:
334 1.1 fredette if (Sgl_iszero_sign(result)) {
335 1.1 fredette Sgl_increment(opnd3);
336 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
337 1.1 fredette is_tiny = FALSE;
338 1.1 fredette Sgl_decrement(opnd3);
339 1.1 fredette }
340 1.1 fredette break;
341 1.1 fredette case ROUNDMINUS:
342 1.1 fredette if (Sgl_isone_sign(result)) {
343 1.1 fredette Sgl_increment(opnd3);
344 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
345 1.1 fredette is_tiny = FALSE;
346 1.1 fredette Sgl_decrement(opnd3);
347 1.1 fredette }
348 1.1 fredette break;
349 1.1 fredette case ROUNDNEAREST:
350 1.1 fredette if (guardbit && (stickybit ||
351 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
352 1.1 fredette Sgl_increment(opnd3);
353 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
354 1.1 fredette is_tiny = FALSE;
355 1.1 fredette Sgl_decrement(opnd3);
356 1.1 fredette }
357 1.1 fredette break;
358 1.1 fredette }
359 1.1 fredette }
360 1.1 fredette
361 1.1 fredette /*
362 1.1 fredette * denormalize result or set to signed zero
363 1.1 fredette */
364 1.1 fredette stickybit = inexact;
365 1.1 fredette Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
366 1.1 fredette
367 1.1 fredette /* return rounded number */
368 1.1 fredette if (inexact) {
369 1.1 fredette switch (Rounding_mode()) {
370 1.1 fredette case ROUNDPLUS:
371 1.1 fredette if (Sgl_iszero_sign(result)) {
372 1.1 fredette Sgl_increment(opnd3);
373 1.1 fredette }
374 1.1 fredette break;
375 1.1 fredette case ROUNDMINUS:
376 1.1 fredette if (Sgl_isone_sign(result)) {
377 1.1 fredette Sgl_increment(opnd3);
378 1.1 fredette }
379 1.1 fredette break;
380 1.1 fredette case ROUNDNEAREST:
381 1.1 fredette if (guardbit && (stickybit ||
382 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
383 1.1 fredette Sgl_increment(opnd3);
384 1.1 fredette }
385 1.1 fredette break;
386 1.1 fredette }
387 1.1 fredette if (is_tiny) Set_underflowflag();
388 1.1 fredette }
389 1.1 fredette Sgl_set_exponentmantissa(result,opnd3);
390 1.1 fredette }
391 1.1 fredette else Sgl_set_exponent(result,dest_exponent);
392 1.1 fredette *dstptr = result;
393 1.1 fredette /* check for inexact */
394 1.1 fredette if (inexact) {
395 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
396 1.1 fredette else Set_inexactflag();
397 1.1 fredette }
398 1.1 fredette return(NOEXCEPTION);
399 1.1 fredette }
400