sfdiv.c revision 1.1 1 1.1 fredette /* $NetBSD: sfdiv.c,v 1.1 2002/06/05 01:04:26 fredette 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 1.1 fredette
44 1.1 fredette #include "../spmath/float.h"
45 1.1 fredette #include "../spmath/sgl_float.h"
46 1.1 fredette
47 1.1 fredette /*
48 1.1 fredette * Single Precision Floating-point Divide
49 1.1 fredette */
50 1.1 fredette int
51 1.1 fredette sgl_fdiv(srcptr1,srcptr2,dstptr,status)
52 1.1 fredette
53 1.1 fredette sgl_floating_point *srcptr1, *srcptr2, *dstptr;
54 1.1 fredette unsigned int *status;
55 1.1 fredette {
56 1.1 fredette register unsigned int opnd1, opnd2, opnd3, result;
57 1.1 fredette register int dest_exponent, count;
58 1.1 fredette register int inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
59 1.1 fredette int is_tiny;
60 1.1 fredette
61 1.1 fredette opnd1 = *srcptr1;
62 1.1 fredette opnd2 = *srcptr2;
63 1.1 fredette /*
64 1.1 fredette * set sign bit of result
65 1.1 fredette */
66 1.1 fredette if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
67 1.1 fredette else Sgl_setzero(result);
68 1.1 fredette /*
69 1.1 fredette * check first operand for NaN's or infinity
70 1.1 fredette */
71 1.1 fredette if (Sgl_isinfinity_exponent(opnd1)) {
72 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
73 1.1 fredette if (Sgl_isnotnan(opnd2)) {
74 1.1 fredette if (Sgl_isinfinity(opnd2)) {
75 1.1 fredette /*
76 1.1 fredette * invalid since both operands
77 1.1 fredette * are infinity
78 1.1 fredette */
79 1.1 fredette if (Is_invalidtrap_enabled())
80 1.1 fredette return(INVALIDEXCEPTION);
81 1.1 fredette Set_invalidflag();
82 1.1 fredette Sgl_makequietnan(result);
83 1.1 fredette *dstptr = result;
84 1.1 fredette return(NOEXCEPTION);
85 1.1 fredette }
86 1.1 fredette /*
87 1.1 fredette * return infinity
88 1.1 fredette */
89 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
90 1.1 fredette *dstptr = result;
91 1.1 fredette return(NOEXCEPTION);
92 1.1 fredette }
93 1.1 fredette }
94 1.1 fredette else {
95 1.1 fredette /*
96 1.1 fredette * is NaN; signaling or quiet?
97 1.1 fredette */
98 1.1 fredette if (Sgl_isone_signaling(opnd1)) {
99 1.1 fredette /* trap if INVALIDTRAP enabled */
100 1.1 fredette if (Is_invalidtrap_enabled())
101 1.1 fredette return(INVALIDEXCEPTION);
102 1.1 fredette /* make NaN quiet */
103 1.1 fredette Set_invalidflag();
104 1.1 fredette Sgl_set_quiet(opnd1);
105 1.1 fredette }
106 1.1 fredette /*
107 1.1 fredette * is second operand a signaling NaN?
108 1.1 fredette */
109 1.1 fredette else if (Sgl_is_signalingnan(opnd2)) {
110 1.1 fredette /* trap if INVALIDTRAP enabled */
111 1.1 fredette if (Is_invalidtrap_enabled())
112 1.1 fredette return(INVALIDEXCEPTION);
113 1.1 fredette /* make NaN quiet */
114 1.1 fredette Set_invalidflag();
115 1.1 fredette Sgl_set_quiet(opnd2);
116 1.1 fredette *dstptr = opnd2;
117 1.1 fredette return(NOEXCEPTION);
118 1.1 fredette }
119 1.1 fredette /*
120 1.1 fredette * return quiet NaN
121 1.1 fredette */
122 1.1 fredette *dstptr = opnd1;
123 1.1 fredette return(NOEXCEPTION);
124 1.1 fredette }
125 1.1 fredette }
126 1.1 fredette /*
127 1.1 fredette * check second operand for NaN's or infinity
128 1.1 fredette */
129 1.1 fredette if (Sgl_isinfinity_exponent(opnd2)) {
130 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) {
131 1.1 fredette /*
132 1.1 fredette * return zero
133 1.1 fredette */
134 1.1 fredette Sgl_setzero_exponentmantissa(result);
135 1.1 fredette *dstptr = result;
136 1.1 fredette return(NOEXCEPTION);
137 1.1 fredette }
138 1.1 fredette /*
139 1.1 fredette * is NaN; signaling or quiet?
140 1.1 fredette */
141 1.1 fredette if (Sgl_isone_signaling(opnd2)) {
142 1.1 fredette /* trap if INVALIDTRAP enabled */
143 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
144 1.1 fredette /* make NaN quiet */
145 1.1 fredette Set_invalidflag();
146 1.1 fredette Sgl_set_quiet(opnd2);
147 1.1 fredette }
148 1.1 fredette /*
149 1.1 fredette * return quiet NaN
150 1.1 fredette */
151 1.1 fredette *dstptr = opnd2;
152 1.1 fredette return(NOEXCEPTION);
153 1.1 fredette }
154 1.1 fredette /*
155 1.1 fredette * check for division by zero
156 1.1 fredette */
157 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd2)) {
158 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd1)) {
159 1.1 fredette /* invalid since both operands are zero */
160 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
161 1.1 fredette Set_invalidflag();
162 1.1 fredette Sgl_makequietnan(result);
163 1.1 fredette *dstptr = result;
164 1.1 fredette return(NOEXCEPTION);
165 1.1 fredette }
166 1.1 fredette if (Is_divisionbyzerotrap_enabled())
167 1.1 fredette return(DIVISIONBYZEROEXCEPTION);
168 1.1 fredette Set_divisionbyzeroflag();
169 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
170 1.1 fredette *dstptr = result;
171 1.1 fredette return(NOEXCEPTION);
172 1.1 fredette }
173 1.1 fredette /*
174 1.1 fredette * Generate exponent
175 1.1 fredette */
176 1.1 fredette dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS;
177 1.1 fredette
178 1.1 fredette /*
179 1.1 fredette * Generate mantissa
180 1.1 fredette */
181 1.1 fredette if (Sgl_isnotzero_exponent(opnd1)) {
182 1.1 fredette /* set hidden bit */
183 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1);
184 1.1 fredette }
185 1.1 fredette else {
186 1.1 fredette /* check for zero */
187 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
188 1.1 fredette Sgl_setzero_exponentmantissa(result);
189 1.1 fredette *dstptr = result;
190 1.1 fredette return(NOEXCEPTION);
191 1.1 fredette }
192 1.1 fredette /* is denormalized; want to normalize */
193 1.1 fredette Sgl_clear_signexponent(opnd1);
194 1.1 fredette Sgl_leftshiftby1(opnd1);
195 1.1 fredette Sgl_normalize(opnd1,dest_exponent);
196 1.1 fredette }
197 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
198 1.1 fredette if (Sgl_isnotzero_exponent(opnd2)) {
199 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2);
200 1.1 fredette }
201 1.1 fredette else {
202 1.1 fredette /* is denormalized; want to normalize */
203 1.1 fredette Sgl_clear_signexponent(opnd2);
204 1.1 fredette Sgl_leftshiftby1(opnd2);
205 1.1 fredette while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) {
206 1.1 fredette Sgl_leftshiftby8(opnd2);
207 1.1 fredette dest_exponent += 8;
208 1.1 fredette }
209 1.1 fredette if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) {
210 1.1 fredette Sgl_leftshiftby4(opnd2);
211 1.1 fredette dest_exponent += 4;
212 1.1 fredette }
213 1.1 fredette while(Sgl_iszero_hidden(opnd2)) {
214 1.1 fredette Sgl_leftshiftby1(opnd2);
215 1.1 fredette dest_exponent += 1;
216 1.1 fredette }
217 1.1 fredette }
218 1.1 fredette
219 1.1 fredette /* Divide the source mantissas */
220 1.1 fredette
221 1.1 fredette /*
222 1.1 fredette * A non_restoring divide algorithm is used.
223 1.1 fredette */
224 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
225 1.1 fredette Sgl_setzero(opnd3);
226 1.1 fredette for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) {
227 1.1 fredette Sgl_leftshiftby1(opnd1);
228 1.1 fredette Sgl_leftshiftby1(opnd3);
229 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
230 1.1 fredette Sgl_setone_lowmantissa(opnd3);
231 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
232 1.1 fredette }
233 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
234 1.1 fredette }
235 1.1 fredette if (count <= SGL_P) {
236 1.1 fredette Sgl_leftshiftby1(opnd3);
237 1.1 fredette Sgl_setone_lowmantissa(opnd3);
238 1.1 fredette Sgl_leftshift(opnd3,SGL_P-count);
239 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
240 1.1 fredette Sgl_leftshiftby1(opnd3);
241 1.1 fredette dest_exponent--;
242 1.1 fredette }
243 1.1 fredette }
244 1.1 fredette else {
245 1.1 fredette if (Sgl_iszero_hidden(opnd3)) {
246 1.1 fredette /* need to get one more bit of result */
247 1.1 fredette Sgl_leftshiftby1(opnd1);
248 1.1 fredette Sgl_leftshiftby1(opnd3);
249 1.1 fredette if (Sgl_iszero_sign(opnd1)) {
250 1.1 fredette Sgl_setone_lowmantissa(opnd3);
251 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
252 1.1 fredette }
253 1.1 fredette else Sgl_addition(opnd1,opnd2,opnd1);
254 1.1 fredette dest_exponent--;
255 1.1 fredette }
256 1.1 fredette if (Sgl_iszero_sign(opnd1)) guardbit = TRUE;
257 1.1 fredette stickybit = Sgl_all(opnd1);
258 1.1 fredette }
259 1.1 fredette inexact = guardbit | stickybit;
260 1.1 fredette
261 1.1 fredette /*
262 1.1 fredette * round result
263 1.1 fredette */
264 1.1 fredette if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
265 1.1 fredette Sgl_clear_signexponent(opnd3);
266 1.1 fredette switch (Rounding_mode()) {
267 1.1 fredette case ROUNDPLUS:
268 1.1 fredette if (Sgl_iszero_sign(result))
269 1.1 fredette Sgl_increment_mantissa(opnd3);
270 1.1 fredette break;
271 1.1 fredette case ROUNDMINUS:
272 1.1 fredette if (Sgl_isone_sign(result))
273 1.1 fredette Sgl_increment_mantissa(opnd3);
274 1.1 fredette break;
275 1.1 fredette case ROUNDNEAREST:
276 1.1 fredette if (guardbit &&
277 1.1 fredette (stickybit || Sgl_isone_lowmantissa(opnd3)))
278 1.1 fredette Sgl_increment_mantissa(opnd3);
279 1.1 fredette }
280 1.1 fredette if (Sgl_isone_hidden(opnd3)) dest_exponent++;
281 1.1 fredette }
282 1.1 fredette Sgl_set_mantissa(result,opnd3);
283 1.1 fredette
284 1.1 fredette /*
285 1.1 fredette * Test for overflow
286 1.1 fredette */
287 1.1 fredette if (dest_exponent >= SGL_INFINITY_EXPONENT) {
288 1.1 fredette /* trap if OVERFLOWTRAP enabled */
289 1.1 fredette if (Is_overflowtrap_enabled()) {
290 1.1 fredette /*
291 1.1 fredette * Adjust bias of result
292 1.1 fredette */
293 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
294 1.1 fredette *dstptr = result;
295 1.1 fredette if (inexact) {
296 1.1 fredette if (Is_inexacttrap_enabled())
297 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
298 1.1 fredette else Set_inexactflag();
299 1.1 fredette }
300 1.1 fredette return(OVERFLOWEXCEPTION);
301 1.1 fredette }
302 1.1 fredette Set_overflowflag();
303 1.1 fredette /* set result to infinity or largest number */
304 1.1 fredette Sgl_setoverflow(result);
305 1.1 fredette inexact = TRUE;
306 1.1 fredette }
307 1.1 fredette /*
308 1.1 fredette * Test for underflow
309 1.1 fredette */
310 1.1 fredette else if (dest_exponent <= 0) {
311 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
312 1.1 fredette if (Is_underflowtrap_enabled()) {
313 1.1 fredette /*
314 1.1 fredette * Adjust bias of result
315 1.1 fredette */
316 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl);
317 1.1 fredette *dstptr = result;
318 1.1 fredette if (inexact) {
319 1.1 fredette if (Is_inexacttrap_enabled())
320 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
321 1.1 fredette else Set_inexactflag();
322 1.1 fredette }
323 1.1 fredette return(UNDERFLOWEXCEPTION);
324 1.1 fredette }
325 1.1 fredette
326 1.1 fredette /* Determine if should set underflow flag */
327 1.1 fredette is_tiny = TRUE;
328 1.1 fredette if (dest_exponent == 0 && inexact) {
329 1.1 fredette switch (Rounding_mode()) {
330 1.1 fredette case ROUNDPLUS:
331 1.1 fredette if (Sgl_iszero_sign(result)) {
332 1.1 fredette Sgl_increment(opnd3);
333 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
334 1.1 fredette is_tiny = FALSE;
335 1.1 fredette Sgl_decrement(opnd3);
336 1.1 fredette }
337 1.1 fredette break;
338 1.1 fredette case ROUNDMINUS:
339 1.1 fredette if (Sgl_isone_sign(result)) {
340 1.1 fredette Sgl_increment(opnd3);
341 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
342 1.1 fredette is_tiny = FALSE;
343 1.1 fredette Sgl_decrement(opnd3);
344 1.1 fredette }
345 1.1 fredette break;
346 1.1 fredette case ROUNDNEAREST:
347 1.1 fredette if (guardbit && (stickybit ||
348 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
349 1.1 fredette Sgl_increment(opnd3);
350 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
351 1.1 fredette is_tiny = FALSE;
352 1.1 fredette Sgl_decrement(opnd3);
353 1.1 fredette }
354 1.1 fredette break;
355 1.1 fredette }
356 1.1 fredette }
357 1.1 fredette
358 1.1 fredette /*
359 1.1 fredette * denormalize result or set to signed zero
360 1.1 fredette */
361 1.1 fredette stickybit = inexact;
362 1.1 fredette Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
363 1.1 fredette
364 1.1 fredette /* return rounded number */
365 1.1 fredette if (inexact) {
366 1.1 fredette switch (Rounding_mode()) {
367 1.1 fredette case ROUNDPLUS:
368 1.1 fredette if (Sgl_iszero_sign(result)) {
369 1.1 fredette Sgl_increment(opnd3);
370 1.1 fredette }
371 1.1 fredette break;
372 1.1 fredette case ROUNDMINUS:
373 1.1 fredette if (Sgl_isone_sign(result)) {
374 1.1 fredette Sgl_increment(opnd3);
375 1.1 fredette }
376 1.1 fredette break;
377 1.1 fredette case ROUNDNEAREST:
378 1.1 fredette if (guardbit && (stickybit ||
379 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
380 1.1 fredette Sgl_increment(opnd3);
381 1.1 fredette }
382 1.1 fredette break;
383 1.1 fredette }
384 1.1 fredette if (is_tiny) Set_underflowflag();
385 1.1 fredette }
386 1.1 fredette Sgl_set_exponentmantissa(result,opnd3);
387 1.1 fredette }
388 1.1 fredette else Sgl_set_exponent(result,dest_exponent);
389 1.1 fredette *dstptr = result;
390 1.1 fredette /* check for inexact */
391 1.1 fredette if (inexact) {
392 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
393 1.1 fredette else Set_inexactflag();
394 1.1 fredette }
395 1.1 fredette return(NOEXCEPTION);
396 1.1 fredette }
397