sfdiv.c revision 1.5 1 1.5 skrll /* $NetBSD: sfdiv.c,v 1.5 2012/02/04 17:03:10 skrll 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 1.5 skrll __KERNEL_RCSID(0, "$NetBSD: sfdiv.c,v 1.5 2012/02/04 17:03:10 skrll 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 1.5 skrll sgl_fdiv(sgl_floating_point *srcptr1, sgl_floating_point *srcptr2,
55 1.5 skrll sgl_floating_point *dstptr, unsigned int *status)
56 1.1 fredette {
57 1.1 fredette register unsigned int opnd1, opnd2, opnd3, result;
58 1.1 fredette register int dest_exponent, count;
59 1.4 thorpej register int inexact = false, guardbit = false, stickybit = false;
60 1.1 fredette int is_tiny;
61 1.1 fredette
62 1.1 fredette opnd1 = *srcptr1;
63 1.1 fredette opnd2 = *srcptr2;
64 1.1 fredette /*
65 1.1 fredette * set sign bit of result
66 1.1 fredette */
67 1.1 fredette if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
68 1.1 fredette else Sgl_setzero(result);
69 1.1 fredette /*
70 1.1 fredette * check first operand for NaN's or infinity
71 1.1 fredette */
72 1.1 fredette if (Sgl_isinfinity_exponent(opnd1)) {
73 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
74 1.1 fredette if (Sgl_isnotnan(opnd2)) {
75 1.1 fredette if (Sgl_isinfinity(opnd2)) {
76 1.1 fredette /*
77 1.1 fredette * invalid since both operands
78 1.1 fredette * are infinity
79 1.1 fredette */
80 1.1 fredette if (Is_invalidtrap_enabled())
81 1.1 fredette return(INVALIDEXCEPTION);
82 1.1 fredette Set_invalidflag();
83 1.1 fredette Sgl_makequietnan(result);
84 1.1 fredette *dstptr = result;
85 1.1 fredette return(NOEXCEPTION);
86 1.1 fredette }
87 1.1 fredette /*
88 1.1 fredette * return infinity
89 1.1 fredette */
90 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
91 1.1 fredette *dstptr = result;
92 1.1 fredette return(NOEXCEPTION);
93 1.1 fredette }
94 1.1 fredette }
95 1.1 fredette else {
96 1.1 fredette /*
97 1.1 fredette * is NaN; signaling or quiet?
98 1.1 fredette */
99 1.1 fredette if (Sgl_isone_signaling(opnd1)) {
100 1.1 fredette /* trap if INVALIDTRAP enabled */
101 1.1 fredette if (Is_invalidtrap_enabled())
102 1.1 fredette return(INVALIDEXCEPTION);
103 1.1 fredette /* make NaN quiet */
104 1.1 fredette Set_invalidflag();
105 1.1 fredette Sgl_set_quiet(opnd1);
106 1.1 fredette }
107 1.1 fredette /*
108 1.1 fredette * is second operand a signaling NaN?
109 1.1 fredette */
110 1.1 fredette else if (Sgl_is_signalingnan(opnd2)) {
111 1.1 fredette /* trap if INVALIDTRAP enabled */
112 1.1 fredette if (Is_invalidtrap_enabled())
113 1.1 fredette return(INVALIDEXCEPTION);
114 1.1 fredette /* make NaN quiet */
115 1.1 fredette Set_invalidflag();
116 1.1 fredette Sgl_set_quiet(opnd2);
117 1.1 fredette *dstptr = opnd2;
118 1.1 fredette return(NOEXCEPTION);
119 1.1 fredette }
120 1.1 fredette /*
121 1.1 fredette * return quiet NaN
122 1.1 fredette */
123 1.1 fredette *dstptr = opnd1;
124 1.1 fredette return(NOEXCEPTION);
125 1.1 fredette }
126 1.1 fredette }
127 1.1 fredette /*
128 1.1 fredette * check second operand for NaN's or infinity
129 1.1 fredette */
130 1.1 fredette if (Sgl_isinfinity_exponent(opnd2)) {
131 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) {
132 1.1 fredette /*
133 1.1 fredette * return zero
134 1.1 fredette */
135 1.1 fredette Sgl_setzero_exponentmantissa(result);
136 1.1 fredette *dstptr = result;
137 1.1 fredette return(NOEXCEPTION);
138 1.1 fredette }
139 1.1 fredette /*
140 1.1 fredette * is NaN; signaling or quiet?
141 1.1 fredette */
142 1.1 fredette if (Sgl_isone_signaling(opnd2)) {
143 1.1 fredette /* trap if INVALIDTRAP enabled */
144 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
145 1.1 fredette /* make NaN quiet */
146 1.1 fredette Set_invalidflag();
147 1.1 fredette Sgl_set_quiet(opnd2);
148 1.1 fredette }
149 1.1 fredette /*
150 1.1 fredette * return quiet NaN
151 1.1 fredette */
152 1.1 fredette *dstptr = opnd2;
153 1.1 fredette return(NOEXCEPTION);
154 1.1 fredette }
155 1.1 fredette /*
156 1.1 fredette * check for division by zero
157 1.1 fredette */
158 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd2)) {
159 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd1)) {
160 1.1 fredette /* invalid since both operands are zero */
161 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
162 1.1 fredette Set_invalidflag();
163 1.1 fredette Sgl_makequietnan(result);
164 1.1 fredette *dstptr = result;
165 1.1 fredette return(NOEXCEPTION);
166 1.1 fredette }
167 1.1 fredette if (Is_divisionbyzerotrap_enabled())
168 1.1 fredette return(DIVISIONBYZEROEXCEPTION);
169 1.1 fredette Set_divisionbyzeroflag();
170 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
171 1.1 fredette *dstptr = result;
172 1.1 fredette return(NOEXCEPTION);
173 1.1 fredette }
174 1.1 fredette /*
175 1.1 fredette * Generate exponent
176 1.1 fredette */
177 1.1 fredette dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS;
178 1.1 fredette
179 1.1 fredette /*
180 1.1 fredette * Generate mantissa
181 1.1 fredette */
182 1.1 fredette if (Sgl_isnotzero_exponent(opnd1)) {
183 1.1 fredette /* set hidden bit */
184 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1);
185 1.1 fredette }
186 1.1 fredette else {
187 1.1 fredette /* check for zero */
188 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
189 1.1 fredette Sgl_setzero_exponentmantissa(result);
190 1.1 fredette *dstptr = result;
191 1.1 fredette return(NOEXCEPTION);
192 1.1 fredette }
193 1.1 fredette /* is denormalized; want to normalize */
194 1.1 fredette Sgl_clear_signexponent(opnd1);
195 1.1 fredette Sgl_leftshiftby1(opnd1);
196 1.1 fredette Sgl_normalize(opnd1,dest_exponent);
197 1.1 fredette }
198 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
199 1.1 fredette if (Sgl_isnotzero_exponent(opnd2)) {
200 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2);
201 1.1 fredette }
202 1.1 fredette else {
203 1.1 fredette /* is denormalized; want to normalize */
204 1.1 fredette Sgl_clear_signexponent(opnd2);
205 1.1 fredette Sgl_leftshiftby1(opnd2);
206 1.1 fredette while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) {
207 1.1 fredette Sgl_leftshiftby8(opnd2);
208 1.1 fredette dest_exponent += 8;
209 1.1 fredette }
210 1.1 fredette if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) {
211 1.1 fredette Sgl_leftshiftby4(opnd2);
212 1.1 fredette dest_exponent += 4;
213 1.1 fredette }
214 1.1 fredette while(Sgl_iszero_hidden(opnd2)) {
215 1.1 fredette Sgl_leftshiftby1(opnd2);
216 1.1 fredette dest_exponent += 1;
217 1.1 fredette }
218 1.1 fredette }
219 1.1 fredette
220 1.1 fredette /* Divide the source mantissas */
221 1.1 fredette
222 1.1 fredette /*
223 1.1 fredette * A non_restoring divide algorithm is used.
224 1.1 fredette */
225 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
226 1.1 fredette Sgl_setzero(opnd3);
227 1.1 fredette for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) {
228 1.1 fredette Sgl_leftshiftby1(opnd1);
229 1.1 fredette Sgl_leftshiftby1(opnd3);
230 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
231 1.1 fredette Sgl_setone_lowmantissa(opnd3);
232 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
233 1.1 fredette }
234 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
235 1.1 fredette }
236 1.1 fredette if (count <= SGL_P) {
237 1.1 fredette Sgl_leftshiftby1(opnd3);
238 1.1 fredette Sgl_setone_lowmantissa(opnd3);
239 1.1 fredette Sgl_leftshift(opnd3,SGL_P-count);
240 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
241 1.1 fredette Sgl_leftshiftby1(opnd3);
242 1.1 fredette dest_exponent--;
243 1.1 fredette }
244 1.1 fredette }
245 1.1 fredette else {
246 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
247 1.1 fredette /* need to get one more bit of result */
248 1.1 fredette Sgl_leftshiftby1(opnd1);
249 1.1 fredette Sgl_leftshiftby1(opnd3);
250 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
251 1.1 fredette Sgl_setone_lowmantissa(opnd3);
252 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
253 1.1 fredette }
254 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
255 1.1 fredette dest_exponent--;
256 1.1 fredette }
257 1.4 thorpej if (Sgl_iszero_sign(opnd1)) guardbit = true;
258 1.1 fredette stickybit = Sgl_all(opnd1);
259 1.1 fredette }
260 1.1 fredette inexact = guardbit | stickybit;
261 1.1 fredette
262 1.1 fredette /*
263 1.1 fredette * round result
264 1.1 fredette */
265 1.1 fredette if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
266 1.1 fredette Sgl_clear_signexponent(opnd3);
267 1.1 fredette switch (Rounding_mode()) {
268 1.1 fredette case ROUNDPLUS:
269 1.1 fredette if (Sgl_iszero_sign(result))
270 1.1 fredette Sgl_increment_mantissa(opnd3);
271 1.1 fredette break;
272 1.1 fredette case ROUNDMINUS:
273 1.1 fredette if (Sgl_isone_sign(result))
274 1.1 fredette Sgl_increment_mantissa(opnd3);
275 1.1 fredette break;
276 1.1 fredette case ROUNDNEAREST:
277 1.1 fredette if (guardbit &&
278 1.1 fredette (stickybit || Sgl_isone_lowmantissa(opnd3)))
279 1.1 fredette Sgl_increment_mantissa(opnd3);
280 1.1 fredette }
281 1.1 fredette if (Sgl_isone_hidden(opnd3)) dest_exponent++;
282 1.1 fredette }
283 1.1 fredette Sgl_set_mantissa(result,opnd3);
284 1.1 fredette
285 1.1 fredette /*
286 1.1 fredette * Test for overflow
287 1.1 fredette */
288 1.1 fredette if (dest_exponent >= SGL_INFINITY_EXPONENT) {
289 1.1 fredette /* trap if OVERFLOWTRAP enabled */
290 1.1 fredette if (Is_overflowtrap_enabled()) {
291 1.1 fredette /*
292 1.1 fredette * Adjust bias of result
293 1.1 fredette */
294 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
295 1.1 fredette *dstptr = result;
296 1.1 fredette if (inexact) {
297 1.1 fredette if (Is_inexacttrap_enabled())
298 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
299 1.1 fredette else Set_inexactflag();
300 1.1 fredette }
301 1.1 fredette return(OVERFLOWEXCEPTION);
302 1.1 fredette }
303 1.1 fredette Set_overflowflag();
304 1.1 fredette /* set result to infinity or largest number */
305 1.1 fredette Sgl_setoverflow(result);
306 1.4 thorpej inexact = true;
307 1.1 fredette }
308 1.1 fredette /*
309 1.1 fredette * Test for underflow
310 1.1 fredette */
311 1.1 fredette else if (dest_exponent <= 0) {
312 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
313 1.1 fredette if (Is_underflowtrap_enabled()) {
314 1.1 fredette /*
315 1.1 fredette * Adjust bias of result
316 1.1 fredette */
317 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl);
318 1.1 fredette *dstptr = result;
319 1.1 fredette if (inexact) {
320 1.1 fredette if (Is_inexacttrap_enabled())
321 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
322 1.1 fredette else Set_inexactflag();
323 1.1 fredette }
324 1.1 fredette return(UNDERFLOWEXCEPTION);
325 1.1 fredette }
326 1.1 fredette
327 1.1 fredette /* Determine if should set underflow flag */
328 1.4 thorpej is_tiny = true;
329 1.1 fredette if (dest_exponent == 0 && inexact) {
330 1.1 fredette switch (Rounding_mode()) {
331 1.1 fredette case ROUNDPLUS:
332 1.1 fredette if (Sgl_iszero_sign(result)) {
333 1.1 fredette Sgl_increment(opnd3);
334 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
335 1.4 thorpej is_tiny = false;
336 1.1 fredette Sgl_decrement(opnd3);
337 1.1 fredette }
338 1.1 fredette break;
339 1.1 fredette case ROUNDMINUS:
340 1.1 fredette if (Sgl_isone_sign(result)) {
341 1.1 fredette Sgl_increment(opnd3);
342 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
343 1.4 thorpej is_tiny = false;
344 1.1 fredette Sgl_decrement(opnd3);
345 1.1 fredette }
346 1.1 fredette break;
347 1.1 fredette case ROUNDNEAREST:
348 1.1 fredette if (guardbit && (stickybit ||
349 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
350 1.1 fredette Sgl_increment(opnd3);
351 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
352 1.4 thorpej is_tiny = false;
353 1.1 fredette Sgl_decrement(opnd3);
354 1.1 fredette }
355 1.1 fredette break;
356 1.1 fredette }
357 1.1 fredette }
358 1.1 fredette
359 1.1 fredette /*
360 1.1 fredette * denormalize result or set to signed zero
361 1.1 fredette */
362 1.1 fredette stickybit = inexact;
363 1.1 fredette Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
364 1.1 fredette
365 1.1 fredette /* return rounded number */
366 1.1 fredette if (inexact) {
367 1.1 fredette switch (Rounding_mode()) {
368 1.1 fredette case ROUNDPLUS:
369 1.1 fredette if (Sgl_iszero_sign(result)) {
370 1.1 fredette Sgl_increment(opnd3);
371 1.1 fredette }
372 1.1 fredette break;
373 1.1 fredette case ROUNDMINUS:
374 1.1 fredette if (Sgl_isone_sign(result)) {
375 1.1 fredette Sgl_increment(opnd3);
376 1.1 fredette }
377 1.1 fredette break;
378 1.1 fredette case ROUNDNEAREST:
379 1.1 fredette if (guardbit && (stickybit ||
380 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
381 1.1 fredette Sgl_increment(opnd3);
382 1.1 fredette }
383 1.1 fredette break;
384 1.1 fredette }
385 1.1 fredette if (is_tiny) Set_underflowflag();
386 1.1 fredette }
387 1.1 fredette Sgl_set_exponentmantissa(result,opnd3);
388 1.1 fredette }
389 1.1 fredette else Sgl_set_exponent(result,dest_exponent);
390 1.1 fredette *dstptr = result;
391 1.1 fredette /* check for inexact */
392 1.1 fredette if (inexact) {
393 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
394 1.1 fredette else Set_inexactflag();
395 1.1 fredette }
396 1.1 fredette return(NOEXCEPTION);
397 1.1 fredette }
398