dfmpy.c revision 1.4 1 1.4 thorpej /* $NetBSD: dfmpy.c,v 1.4 2007/02/22 05:46:29 thorpej Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: dfmpy.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: dfmpy.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 Multiply
52 1.1 fredette */
53 1.1 fredette
54 1.1 fredette int
55 1.1 fredette dbl_fmpy(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 /*
70 1.1 fredette * set sign bit of result
71 1.1 fredette */
72 1.1 fredette if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
73 1.1 fredette Dbl_setnegativezerop1(resultp1);
74 1.1 fredette else Dbl_setzerop1(resultp1);
75 1.1 fredette /*
76 1.1 fredette * check first operand for NaN's or infinity
77 1.1 fredette */
78 1.1 fredette if (Dbl_isinfinity_exponent(opnd1p1)) {
79 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
80 1.1 fredette if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
81 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
82 1.1 fredette /*
83 1.1 fredette * invalid since operands are infinity
84 1.1 fredette * and zero
85 1.1 fredette */
86 1.1 fredette if (Is_invalidtrap_enabled())
87 1.1 fredette return(INVALIDEXCEPTION);
88 1.1 fredette Set_invalidflag();
89 1.1 fredette Dbl_makequietnan(resultp1,resultp2);
90 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
91 1.1 fredette return(NOEXCEPTION);
92 1.1 fredette }
93 1.1 fredette /*
94 1.1 fredette * return infinity
95 1.1 fredette */
96 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
97 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
98 1.1 fredette return(NOEXCEPTION);
99 1.1 fredette }
100 1.1 fredette }
101 1.1 fredette else {
102 1.1 fredette /*
103 1.1 fredette * is NaN; signaling or quiet?
104 1.1 fredette */
105 1.1 fredette if (Dbl_isone_signaling(opnd1p1)) {
106 1.1 fredette /* trap if INVALIDTRAP enabled */
107 1.1 fredette if (Is_invalidtrap_enabled())
108 1.1 fredette return(INVALIDEXCEPTION);
109 1.1 fredette /* make NaN quiet */
110 1.1 fredette Set_invalidflag();
111 1.1 fredette Dbl_set_quiet(opnd1p1);
112 1.1 fredette }
113 1.1 fredette /*
114 1.1 fredette * is second operand a signaling NaN?
115 1.1 fredette */
116 1.1 fredette else if (Dbl_is_signalingnan(opnd2p1)) {
117 1.1 fredette /* trap if INVALIDTRAP enabled */
118 1.1 fredette if (Is_invalidtrap_enabled())
119 1.1 fredette return(INVALIDEXCEPTION);
120 1.1 fredette /* make NaN quiet */
121 1.1 fredette Set_invalidflag();
122 1.1 fredette Dbl_set_quiet(opnd2p1);
123 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
124 1.1 fredette return(NOEXCEPTION);
125 1.1 fredette }
126 1.1 fredette /*
127 1.1 fredette * return quiet NaN
128 1.1 fredette */
129 1.1 fredette Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
130 1.1 fredette return(NOEXCEPTION);
131 1.1 fredette }
132 1.1 fredette }
133 1.1 fredette /*
134 1.1 fredette * check second operand for NaN's or infinity
135 1.1 fredette */
136 1.1 fredette if (Dbl_isinfinity_exponent(opnd2p1)) {
137 1.1 fredette if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
138 1.1 fredette if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
139 1.1 fredette /* invalid since operands are zero & infinity */
140 1.1 fredette if (Is_invalidtrap_enabled())
141 1.1 fredette return(INVALIDEXCEPTION);
142 1.1 fredette Set_invalidflag();
143 1.1 fredette Dbl_makequietnan(opnd2p1,opnd2p2);
144 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
145 1.1 fredette return(NOEXCEPTION);
146 1.1 fredette }
147 1.1 fredette /*
148 1.1 fredette * return infinity
149 1.1 fredette */
150 1.1 fredette Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
151 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
152 1.1 fredette return(NOEXCEPTION);
153 1.1 fredette }
154 1.1 fredette /*
155 1.1 fredette * is NaN; signaling or quiet?
156 1.1 fredette */
157 1.1 fredette if (Dbl_isone_signaling(opnd2p1)) {
158 1.1 fredette /* trap if INVALIDTRAP enabled */
159 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
160 1.1 fredette /* make NaN quiet */
161 1.1 fredette Set_invalidflag();
162 1.1 fredette Dbl_set_quiet(opnd2p1);
163 1.1 fredette }
164 1.1 fredette /*
165 1.1 fredette * return quiet NaN
166 1.1 fredette */
167 1.1 fredette Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
168 1.1 fredette return(NOEXCEPTION);
169 1.1 fredette }
170 1.1 fredette /*
171 1.1 fredette * Generate exponent
172 1.1 fredette */
173 1.1 fredette dest_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) -DBL_BIAS;
174 1.1 fredette
175 1.1 fredette /*
176 1.1 fredette * Generate mantissa
177 1.1 fredette */
178 1.1 fredette if (Dbl_isnotzero_exponent(opnd1p1)) {
179 1.1 fredette /* set hidden bit */
180 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd1p1);
181 1.1 fredette }
182 1.1 fredette else {
183 1.1 fredette /* check for zero */
184 1.1 fredette if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
185 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
186 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
187 1.1 fredette return(NOEXCEPTION);
188 1.1 fredette }
189 1.1 fredette /* is denormalized, adjust exponent */
190 1.1 fredette Dbl_clear_signexponent(opnd1p1);
191 1.1 fredette Dbl_leftshiftby1(opnd1p1,opnd1p2);
192 1.1 fredette Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
193 1.1 fredette }
194 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
195 1.1 fredette if (Dbl_isnotzero_exponent(opnd2p1)) {
196 1.1 fredette Dbl_clear_signexponent_set_hidden(opnd2p1);
197 1.1 fredette }
198 1.1 fredette else {
199 1.1 fredette /* check for zero */
200 1.1 fredette if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
201 1.1 fredette Dbl_setzero_exponentmantissa(resultp1,resultp2);
202 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
203 1.1 fredette return(NOEXCEPTION);
204 1.1 fredette }
205 1.1 fredette /* is denormalized; want to normalize */
206 1.1 fredette Dbl_clear_signexponent(opnd2p1);
207 1.1 fredette Dbl_leftshiftby1(opnd2p1,opnd2p2);
208 1.1 fredette Dbl_normalize(opnd2p1,opnd2p2,dest_exponent);
209 1.1 fredette }
210 1.1 fredette
211 1.1 fredette /* Multiply two source mantissas together */
212 1.1 fredette
213 1.1 fredette /* make room for guard bits */
214 1.1 fredette Dbl_leftshiftby7(opnd2p1,opnd2p2);
215 1.1 fredette Dbl_setzero(opnd3p1,opnd3p2);
216 1.1 fredette /*
217 1.1 fredette * Four bits at a time are inspected in each loop, and a
218 1.1 fredette * simple shift and add multiply algorithm is used.
219 1.1 fredette */
220 1.1 fredette for (count=1;count<=DBL_P;count+=4) {
221 1.1 fredette stickybit |= Dlow4p2(opnd3p2);
222 1.1 fredette Dbl_rightshiftby4(opnd3p1,opnd3p2);
223 1.1 fredette if (Dbit28p2(opnd1p2)) {
224 1.1 fredette /* Twoword_add should be an ADDC followed by an ADD. */
225 1.1 fredette Twoword_add(opnd3p1, opnd3p2, opnd2p1<<3 | opnd2p2>>29,
226 1.1 fredette opnd2p2<<3);
227 1.1 fredette }
228 1.1 fredette if (Dbit29p2(opnd1p2)) {
229 1.1 fredette Twoword_add(opnd3p1, opnd3p2, opnd2p1<<2 | opnd2p2>>30,
230 1.1 fredette opnd2p2<<2);
231 1.1 fredette }
232 1.1 fredette if (Dbit30p2(opnd1p2)) {
233 1.1 fredette Twoword_add(opnd3p1, opnd3p2, opnd2p1<<1 | opnd2p2>>31,
234 1.1 fredette opnd2p2<<1);
235 1.1 fredette }
236 1.1 fredette if (Dbit31p2(opnd1p2)) {
237 1.1 fredette Twoword_add(opnd3p1, opnd3p2, opnd2p1, opnd2p2);
238 1.1 fredette }
239 1.1 fredette Dbl_rightshiftby4(opnd1p1,opnd1p2);
240 1.1 fredette }
241 1.1 fredette if (Dbit3p1(opnd3p1)==0) {
242 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
243 1.1 fredette }
244 1.1 fredette else {
245 1.1 fredette /* result mantissa >= 2. */
246 1.1 fredette dest_exponent++;
247 1.1 fredette }
248 1.1 fredette /* check for denormalized result */
249 1.1 fredette while (Dbit3p1(opnd3p1)==0) {
250 1.1 fredette Dbl_leftshiftby1(opnd3p1,opnd3p2);
251 1.1 fredette dest_exponent--;
252 1.1 fredette }
253 1.1 fredette /*
254 1.1 fredette * check for guard, sticky and inexact bits
255 1.1 fredette */
256 1.1 fredette stickybit |= Dallp2(opnd3p2) << 25;
257 1.1 fredette guardbit = (Dallp2(opnd3p2) << 24) >> 31;
258 1.1 fredette inexact = guardbit | stickybit;
259 1.1 fredette
260 1.1 fredette /* align result mantissa */
261 1.1 fredette Dbl_rightshiftby8(opnd3p1,opnd3p2);
262 1.1 fredette
263 1.1 fredette /*
264 1.1 fredette * round result
265 1.1 fredette */
266 1.1 fredette if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) {
267 1.1 fredette Dbl_clear_signexponent(opnd3p1);
268 1.1 fredette switch (Rounding_mode()) {
269 1.1 fredette case ROUNDPLUS:
270 1.1 fredette if (Dbl_iszero_sign(resultp1))
271 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
272 1.1 fredette break;
273 1.1 fredette case ROUNDMINUS:
274 1.1 fredette if (Dbl_isone_sign(resultp1))
275 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
276 1.1 fredette break;
277 1.1 fredette case ROUNDNEAREST:
278 1.1 fredette if (guardbit &&
279 1.1 fredette (stickybit || Dbl_isone_lowmantissap2(opnd3p2)))
280 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
281 1.1 fredette break;
282 1.1 fredette }
283 1.1 fredette if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
284 1.1 fredette }
285 1.1 fredette Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
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 >= DBL_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 Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
297 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
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
302 1.1 fredette Set_inexactflag();
303 1.1 fredette }
304 1.1 fredette return (OVERFLOWEXCEPTION);
305 1.1 fredette }
306 1.4 thorpej inexact = true;
307 1.1 fredette Set_overflowflag();
308 1.1 fredette /* set result to infinity or largest number */
309 1.1 fredette Dbl_setoverflow(resultp1,resultp2);
310 1.1 fredette }
311 1.1 fredette /*
312 1.1 fredette * Test for underflow
313 1.1 fredette */
314 1.1 fredette else if (dest_exponent <= 0) {
315 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
316 1.1 fredette if (Is_underflowtrap_enabled()) {
317 1.1 fredette /*
318 1.1 fredette * Adjust bias of result
319 1.1 fredette */
320 1.1 fredette Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
321 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
322 1.1 fredette if (inexact) {
323 1.1 fredette if (Is_inexacttrap_enabled())
324 1.1 fredette return (UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
325 1.1 fredette else
326 1.1 fredette Set_inexactflag();
327 1.1 fredette }
328 1.1 fredette return (UNDERFLOWEXCEPTION);
329 1.1 fredette }
330 1.1 fredette
331 1.1 fredette /* Determine if should set underflow flag */
332 1.4 thorpej is_tiny = true;
333 1.1 fredette if (dest_exponent == 0 && inexact) {
334 1.1 fredette switch (Rounding_mode()) {
335 1.1 fredette case ROUNDPLUS:
336 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
337 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
338 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
339 1.4 thorpej is_tiny = false;
340 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
341 1.1 fredette }
342 1.1 fredette break;
343 1.1 fredette case ROUNDMINUS:
344 1.1 fredette if (Dbl_isone_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 ROUNDNEAREST:
352 1.1 fredette if (guardbit && (stickybit ||
353 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
354 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
355 1.1 fredette if (Dbl_isone_hiddenoverflow(opnd3p1))
356 1.4 thorpej is_tiny = false;
357 1.1 fredette Dbl_decrement(opnd3p1,opnd3p2);
358 1.1 fredette }
359 1.1 fredette break;
360 1.1 fredette }
361 1.1 fredette }
362 1.1 fredette
363 1.1 fredette /*
364 1.1 fredette * denormalize result or set to signed zero
365 1.1 fredette */
366 1.1 fredette stickybit = inexact;
367 1.1 fredette Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
368 1.1 fredette stickybit,inexact);
369 1.1 fredette
370 1.1 fredette /* return zero or smallest number */
371 1.1 fredette if (inexact) {
372 1.1 fredette switch (Rounding_mode()) {
373 1.1 fredette case ROUNDPLUS:
374 1.1 fredette if (Dbl_iszero_sign(resultp1)) {
375 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
376 1.1 fredette }
377 1.1 fredette break;
378 1.1 fredette case ROUNDMINUS:
379 1.1 fredette if (Dbl_isone_sign(resultp1)) {
380 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
381 1.1 fredette }
382 1.1 fredette break;
383 1.1 fredette case ROUNDNEAREST:
384 1.1 fredette if (guardbit && (stickybit ||
385 1.1 fredette Dbl_isone_lowmantissap2(opnd3p2))) {
386 1.1 fredette Dbl_increment(opnd3p1,opnd3p2);
387 1.1 fredette }
388 1.1 fredette break;
389 1.1 fredette }
390 1.1 fredette if (is_tiny) Set_underflowflag();
391 1.1 fredette }
392 1.1 fredette Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
393 1.1 fredette }
394 1.1 fredette else Dbl_set_exponent(resultp1,dest_exponent);
395 1.1 fredette /* check for inexact */
396 1.1 fredette Dbl_copytoptr(resultp1,resultp2,dstptr);
397 1.1 fredette if (inexact) {
398 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
399 1.1 fredette else Set_inexactflag();
400 1.1 fredette }
401 1.1 fredette return(NOEXCEPTION);
402 1.1 fredette }
403