sfmpy.c revision 1.5 1 1.5 skrll /* $NetBSD: sfmpy.c,v 1.5 2012/02/04 17:03:10 skrll Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: sfmpy.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: sfmpy.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 Multiply
52 1.1 fredette */
53 1.1 fredette int
54 1.5 skrll sgl_fmpy(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_iszero_exponentmantissa(opnd2)) {
76 1.1 fredette /*
77 1.1 fredette * invalid since operands are infinity
78 1.1 fredette * and zero
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 if (Sgl_iszero_exponentmantissa(opnd1)) {
133 1.1 fredette /* invalid since operands are zero & infinity */
134 1.1 fredette if (Is_invalidtrap_enabled())
135 1.1 fredette return(INVALIDEXCEPTION);
136 1.1 fredette Set_invalidflag();
137 1.1 fredette Sgl_makequietnan(opnd2);
138 1.1 fredette *dstptr = opnd2;
139 1.1 fredette return(NOEXCEPTION);
140 1.1 fredette }
141 1.1 fredette /*
142 1.1 fredette * return infinity
143 1.1 fredette */
144 1.1 fredette Sgl_setinfinity_exponentmantissa(result);
145 1.1 fredette *dstptr = result;
146 1.1 fredette return(NOEXCEPTION);
147 1.1 fredette }
148 1.1 fredette /*
149 1.1 fredette * is NaN; signaling or quiet?
150 1.1 fredette */
151 1.1 fredette if (Sgl_isone_signaling(opnd2)) {
152 1.1 fredette /* trap if INVALIDTRAP enabled */
153 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
154 1.1 fredette
155 1.1 fredette /* make NaN quiet */
156 1.1 fredette Set_invalidflag();
157 1.1 fredette Sgl_set_quiet(opnd2);
158 1.1 fredette }
159 1.1 fredette /*
160 1.1 fredette * return quiet NaN
161 1.1 fredette */
162 1.1 fredette *dstptr = opnd2;
163 1.1 fredette return(NOEXCEPTION);
164 1.1 fredette }
165 1.1 fredette /*
166 1.1 fredette * Generate exponent
167 1.1 fredette */
168 1.1 fredette dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
169 1.1 fredette
170 1.1 fredette /*
171 1.1 fredette * Generate mantissa
172 1.1 fredette */
173 1.1 fredette if (Sgl_isnotzero_exponent(opnd1)) {
174 1.1 fredette /* set hidden bit */
175 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1);
176 1.1 fredette }
177 1.1 fredette else {
178 1.1 fredette /* check for zero */
179 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
180 1.1 fredette Sgl_setzero_exponentmantissa(result);
181 1.1 fredette *dstptr = result;
182 1.1 fredette return(NOEXCEPTION);
183 1.1 fredette }
184 1.1 fredette /* is denormalized, adjust exponent */
185 1.1 fredette Sgl_clear_signexponent(opnd1);
186 1.1 fredette Sgl_leftshiftby1(opnd1);
187 1.1 fredette Sgl_normalize(opnd1,dest_exponent);
188 1.1 fredette }
189 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */
190 1.1 fredette if (Sgl_isnotzero_exponent(opnd2)) {
191 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2);
192 1.1 fredette }
193 1.1 fredette else {
194 1.1 fredette /* check for zero */
195 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) {
196 1.1 fredette Sgl_setzero_exponentmantissa(result);
197 1.1 fredette *dstptr = result;
198 1.1 fredette return(NOEXCEPTION);
199 1.1 fredette }
200 1.1 fredette /* is denormalized; want to normalize */
201 1.1 fredette Sgl_clear_signexponent(opnd2);
202 1.1 fredette Sgl_leftshiftby1(opnd2);
203 1.1 fredette Sgl_normalize(opnd2,dest_exponent);
204 1.1 fredette }
205 1.1 fredette
206 1.1 fredette /* Multiply two source mantissas together */
207 1.1 fredette
208 1.1 fredette Sgl_leftshiftby4(opnd2); /* make room for guard bits */
209 1.1 fredette Sgl_setzero(opnd3);
210 1.1 fredette /*
211 1.1 fredette * Four bits at a time are inspected in each loop, and a
212 1.1 fredette * simple shift and add multiply algorithm is used.
213 1.1 fredette */
214 1.1 fredette for (count=1;count<SGL_P;count+=4) {
215 1.1 fredette stickybit |= Slow4(opnd3);
216 1.1 fredette Sgl_rightshiftby4(opnd3);
217 1.1 fredette if (Sbit28(opnd1)) Sall(opnd3) += (Sall(opnd2) << 3);
218 1.1 fredette if (Sbit29(opnd1)) Sall(opnd3) += (Sall(opnd2) << 2);
219 1.1 fredette if (Sbit30(opnd1)) Sall(opnd3) += (Sall(opnd2) << 1);
220 1.1 fredette if (Sbit31(opnd1)) Sall(opnd3) += Sall(opnd2);
221 1.1 fredette Sgl_rightshiftby4(opnd1);
222 1.1 fredette }
223 1.1 fredette /* make sure result is left-justified */
224 1.1 fredette if (Sgl_iszero_sign(opnd3)) {
225 1.1 fredette Sgl_leftshiftby1(opnd3);
226 1.1 fredette }
227 1.1 fredette else {
228 1.1 fredette /* result mantissa >= 2. */
229 1.1 fredette dest_exponent++;
230 1.1 fredette }
231 1.1 fredette /* check for denormalized result */
232 1.1 fredette while (Sgl_iszero_sign(opnd3)) {
233 1.1 fredette Sgl_leftshiftby1(opnd3);
234 1.1 fredette dest_exponent--;
235 1.1 fredette }
236 1.1 fredette /*
237 1.1 fredette * check for guard, sticky and inexact bits
238 1.1 fredette */
239 1.1 fredette stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1);
240 1.1 fredette guardbit = Sbit24(opnd3);
241 1.1 fredette inexact = guardbit | stickybit;
242 1.1 fredette
243 1.1 fredette /* re-align mantissa */
244 1.1 fredette Sgl_rightshiftby8(opnd3);
245 1.1 fredette
246 1.1 fredette /*
247 1.1 fredette * round result
248 1.1 fredette */
249 1.1 fredette if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) {
250 1.1 fredette Sgl_clear_signexponent(opnd3);
251 1.1 fredette switch (Rounding_mode()) {
252 1.1 fredette case ROUNDPLUS:
253 1.1 fredette if (Sgl_iszero_sign(result))
254 1.1 fredette Sgl_increment(opnd3);
255 1.1 fredette break;
256 1.1 fredette case ROUNDMINUS:
257 1.1 fredette if (Sgl_isone_sign(result))
258 1.1 fredette Sgl_increment(opnd3);
259 1.1 fredette break;
260 1.1 fredette case ROUNDNEAREST:
261 1.1 fredette if (guardbit &&
262 1.1 fredette (stickybit || Sgl_isone_lowmantissa(opnd3)))
263 1.1 fredette Sgl_increment(opnd3);
264 1.1 fredette break;
265 1.1 fredette }
266 1.1 fredette if (Sgl_isone_hidden(opnd3)) dest_exponent++;
267 1.1 fredette }
268 1.1 fredette Sgl_set_mantissa(result,opnd3);
269 1.1 fredette
270 1.1 fredette /*
271 1.1 fredette * Test for overflow
272 1.1 fredette */
273 1.1 fredette if (dest_exponent >= SGL_INFINITY_EXPONENT) {
274 1.1 fredette /* trap if OVERFLOWTRAP enabled */
275 1.1 fredette if (Is_overflowtrap_enabled()) {
276 1.1 fredette /*
277 1.1 fredette * Adjust bias of result
278 1.1 fredette */
279 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
280 1.1 fredette *dstptr = result;
281 1.1 fredette if (inexact) {
282 1.1 fredette if (Is_inexacttrap_enabled())
283 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
284 1.1 fredette else Set_inexactflag();
285 1.1 fredette }
286 1.1 fredette return(OVERFLOWEXCEPTION);
287 1.1 fredette }
288 1.4 thorpej inexact = true;
289 1.1 fredette Set_overflowflag();
290 1.1 fredette /* set result to infinity or largest number */
291 1.1 fredette Sgl_setoverflow(result);
292 1.1 fredette }
293 1.1 fredette /*
294 1.1 fredette * Test for underflow
295 1.1 fredette */
296 1.1 fredette else if (dest_exponent <= 0) {
297 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
298 1.1 fredette if (Is_underflowtrap_enabled()) {
299 1.1 fredette /*
300 1.1 fredette * Adjust bias of result
301 1.1 fredette */
302 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl);
303 1.1 fredette *dstptr = result;
304 1.1 fredette if (inexact) {
305 1.1 fredette if (Is_inexacttrap_enabled())
306 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
307 1.1 fredette else Set_inexactflag();
308 1.1 fredette }
309 1.1 fredette return(UNDERFLOWEXCEPTION);
310 1.1 fredette }
311 1.1 fredette
312 1.1 fredette /* Determine if should set underflow flag */
313 1.4 thorpej is_tiny = true;
314 1.1 fredette if (dest_exponent == 0 && inexact) {
315 1.1 fredette switch (Rounding_mode()) {
316 1.1 fredette case ROUNDPLUS:
317 1.1 fredette if (Sgl_iszero_sign(result)) {
318 1.1 fredette Sgl_increment(opnd3);
319 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
320 1.4 thorpej is_tiny = false;
321 1.1 fredette Sgl_decrement(opnd3);
322 1.1 fredette }
323 1.1 fredette break;
324 1.1 fredette case ROUNDMINUS:
325 1.1 fredette if (Sgl_isone_sign(result)) {
326 1.1 fredette Sgl_increment(opnd3);
327 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
328 1.4 thorpej is_tiny = false;
329 1.1 fredette Sgl_decrement(opnd3);
330 1.1 fredette }
331 1.1 fredette break;
332 1.1 fredette case ROUNDNEAREST:
333 1.1 fredette if (guardbit && (stickybit ||
334 1.1 fredette Sgl_isone_lowmantissa(opnd3))) {
335 1.1 fredette Sgl_increment(opnd3);
336 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3))
337 1.4 thorpej is_tiny = false;
338 1.1 fredette Sgl_decrement(opnd3);
339 1.1 fredette }
340 1.1 fredette break;
341 1.1 fredette }
342 1.1 fredette }
343 1.1 fredette
344 1.1 fredette /*
345 1.1 fredette * denormalize result or set to signed zero
346 1.1 fredette */
347 1.1 fredette stickybit = inexact;
348 1.1 fredette Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
349 1.1 fredette
350 1.1 fredette /* return zero or smallest number */
351 1.1 fredette if (inexact) {
352 1.1 fredette switch (Rounding_mode()) {
353 1.1 fredette case ROUNDPLUS:
354 1.1 fredette if (Sgl_iszero_sign(result))
355 1.1 fredette Sgl_increment(opnd3);
356 1.1 fredette break;
357 1.1 fredette case ROUNDMINUS:
358 1.1 fredette if (Sgl_isone_sign(result))
359 1.1 fredette Sgl_increment(opnd3);
360 1.1 fredette break;
361 1.1 fredette case ROUNDNEAREST:
362 1.1 fredette if (guardbit && (stickybit ||
363 1.1 fredette Sgl_isone_lowmantissa(opnd3)))
364 1.1 fredette Sgl_increment(opnd3);
365 1.1 fredette break;
366 1.1 fredette }
367 1.1 fredette if (is_tiny) Set_underflowflag();
368 1.1 fredette }
369 1.1 fredette Sgl_set_exponentmantissa(result,opnd3);
370 1.1 fredette }
371 1.1 fredette else Sgl_set_exponent(result,dest_exponent);
372 1.1 fredette *dstptr = result;
373 1.1 fredette
374 1.1 fredette /* check for inexact */
375 1.1 fredette if (inexact) {
376 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
377 1.1 fredette else Set_inexactflag();
378 1.1 fredette }
379 1.1 fredette return(NOEXCEPTION);
380 1.1 fredette }
381