sfrem.c revision 1.2 1 1.2 lukem /* $NetBSD: sfrem.c,v 1.2 2003/07/15 02:29:43 lukem Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: sfrem.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 1.2 lukem #include <sys/cdefs.h>
45 1.2 lukem __KERNEL_RCSID(0, "$NetBSD: sfrem.c,v 1.2 2003/07/15 02:29:43 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 Remainder
52 1.1 fredette */
53 1.1 fredette int
54 1.1 fredette sgl_frem(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, result;
60 1.1 fredette register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
61 1.1 fredette register int roundup = FALSE;
62 1.1 fredette
63 1.1 fredette opnd1 = *srcptr1;
64 1.1 fredette opnd2 = *srcptr2;
65 1.1 fredette /*
66 1.1 fredette * check first operand for NaN's or infinity
67 1.1 fredette */
68 1.1 fredette if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
69 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
70 1.1 fredette if (Sgl_isnotnan(opnd2)) {
71 1.1 fredette /* invalid since first operand is infinity */
72 1.1 fredette if (Is_invalidtrap_enabled())
73 1.1 fredette return(INVALIDEXCEPTION);
74 1.1 fredette Set_invalidflag();
75 1.1 fredette Sgl_makequietnan(result);
76 1.1 fredette *dstptr = result;
77 1.1 fredette return(NOEXCEPTION);
78 1.1 fredette }
79 1.1 fredette }
80 1.1 fredette else {
81 1.1 fredette /*
82 1.1 fredette * is NaN; signaling or quiet?
83 1.1 fredette */
84 1.1 fredette if (Sgl_isone_signaling(opnd1)) {
85 1.1 fredette /* trap if INVALIDTRAP enabled */
86 1.1 fredette if (Is_invalidtrap_enabled())
87 1.1 fredette return(INVALIDEXCEPTION);
88 1.1 fredette /* make NaN quiet */
89 1.1 fredette Set_invalidflag();
90 1.1 fredette Sgl_set_quiet(opnd1);
91 1.1 fredette }
92 1.1 fredette /*
93 1.1 fredette * is second operand a signaling NaN?
94 1.1 fredette */
95 1.1 fredette else if (Sgl_is_signalingnan(opnd2)) {
96 1.1 fredette /* trap if INVALIDTRAP enabled */
97 1.1 fredette if (Is_invalidtrap_enabled())
98 1.1 fredette return(INVALIDEXCEPTION);
99 1.1 fredette /* make NaN quiet */
100 1.1 fredette Set_invalidflag();
101 1.1 fredette Sgl_set_quiet(opnd2);
102 1.1 fredette *dstptr = opnd2;
103 1.1 fredette return(NOEXCEPTION);
104 1.1 fredette }
105 1.1 fredette /*
106 1.1 fredette * return quiet NaN
107 1.1 fredette */
108 1.1 fredette *dstptr = opnd1;
109 1.1 fredette return(NOEXCEPTION);
110 1.1 fredette }
111 1.1 fredette }
112 1.1 fredette /*
113 1.1 fredette * check second operand for NaN's or infinity
114 1.1 fredette */
115 1.1 fredette if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
116 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) {
117 1.1 fredette /*
118 1.1 fredette * return first operand
119 1.1 fredette */
120 1.1 fredette *dstptr = opnd1;
121 1.1 fredette return(NOEXCEPTION);
122 1.1 fredette }
123 1.1 fredette /*
124 1.1 fredette * is NaN; signaling or quiet?
125 1.1 fredette */
126 1.1 fredette if (Sgl_isone_signaling(opnd2)) {
127 1.1 fredette /* trap if INVALIDTRAP enabled */
128 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
129 1.1 fredette /* make NaN quiet */
130 1.1 fredette Set_invalidflag();
131 1.1 fredette Sgl_set_quiet(opnd2);
132 1.1 fredette }
133 1.1 fredette /*
134 1.1 fredette * return quiet NaN
135 1.1 fredette */
136 1.1 fredette *dstptr = opnd2;
137 1.1 fredette return(NOEXCEPTION);
138 1.1 fredette }
139 1.1 fredette /*
140 1.1 fredette * check second operand for zero
141 1.1 fredette */
142 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd2)) {
143 1.1 fredette /* invalid since second operand is zero */
144 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
145 1.1 fredette Set_invalidflag();
146 1.1 fredette Sgl_makequietnan(result);
147 1.1 fredette *dstptr = result;
148 1.1 fredette return(NOEXCEPTION);
149 1.1 fredette }
150 1.1 fredette
151 1.1 fredette /*
152 1.1 fredette * get sign of result
153 1.1 fredette */
154 1.1 fredette result = opnd1;
155 1.1 fredette
156 1.1 fredette /*
157 1.1 fredette * check for denormalized operands
158 1.1 fredette */
159 1.1 fredette if (opnd1_exponent == 0) {
160 1.1 fredette /* check for zero */
161 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) {
162 1.1 fredette *dstptr = opnd1;
163 1.1 fredette return(NOEXCEPTION);
164 1.1 fredette }
165 1.1 fredette /* normalize, then continue */
166 1.1 fredette opnd1_exponent = 1;
167 1.1 fredette Sgl_normalize(opnd1,opnd1_exponent);
168 1.1 fredette }
169 1.1 fredette else {
170 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1);
171 1.1 fredette }
172 1.1 fredette if (opnd2_exponent == 0) {
173 1.1 fredette /* normalize, then continue */
174 1.1 fredette opnd2_exponent = 1;
175 1.1 fredette Sgl_normalize(opnd2,opnd2_exponent);
176 1.1 fredette }
177 1.1 fredette else {
178 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2);
179 1.1 fredette }
180 1.1 fredette
181 1.1 fredette /* find result exponent and divide step loop count */
182 1.1 fredette dest_exponent = opnd2_exponent - 1;
183 1.1 fredette stepcount = opnd1_exponent - opnd2_exponent;
184 1.1 fredette
185 1.1 fredette /*
186 1.1 fredette * check for opnd1/opnd2 < 1
187 1.1 fredette */
188 1.1 fredette if (stepcount < 0) {
189 1.1 fredette /*
190 1.1 fredette * check for opnd1/opnd2 > 1/2
191 1.1 fredette *
192 1.1 fredette * In this case n will round to 1, so
193 1.1 fredette * r = opnd1 - opnd2
194 1.1 fredette */
195 1.1 fredette if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) {
196 1.1 fredette Sgl_all(result) = ~Sgl_all(result); /* set sign */
197 1.1 fredette /* align opnd2 with opnd1 */
198 1.1 fredette Sgl_leftshiftby1(opnd2);
199 1.1 fredette Sgl_subtract(opnd2,opnd1,opnd2);
200 1.1 fredette /* now normalize */
201 1.1 fredette while (Sgl_iszero_hidden(opnd2)) {
202 1.1 fredette Sgl_leftshiftby1(opnd2);
203 1.1 fredette dest_exponent--;
204 1.1 fredette }
205 1.1 fredette Sgl_set_exponentmantissa(result,opnd2);
206 1.1 fredette goto testforunderflow;
207 1.1 fredette }
208 1.1 fredette /*
209 1.1 fredette * opnd1/opnd2 <= 1/2
210 1.1 fredette *
211 1.1 fredette * In this case n will round to zero, so
212 1.1 fredette * r = opnd1
213 1.1 fredette */
214 1.1 fredette Sgl_set_exponentmantissa(result,opnd1);
215 1.1 fredette dest_exponent = opnd1_exponent;
216 1.1 fredette goto testforunderflow;
217 1.1 fredette }
218 1.1 fredette
219 1.1 fredette /*
220 1.1 fredette * Generate result
221 1.1 fredette *
222 1.1 fredette * Do iterative subtract until remainder is less than operand 2.
223 1.1 fredette */
224 1.1 fredette while (stepcount-- > 0 && Sgl_all(opnd1)) {
225 1.1 fredette if (Sgl_isnotlessthan(opnd1,opnd2))
226 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
227 1.1 fredette Sgl_leftshiftby1(opnd1);
228 1.1 fredette }
229 1.1 fredette /*
230 1.1 fredette * Do last subtract, then determine which way to round if remainder
231 1.1 fredette * is exactly 1/2 of opnd2
232 1.1 fredette */
233 1.1 fredette if (Sgl_isnotlessthan(opnd1,opnd2)) {
234 1.1 fredette Sgl_subtract(opnd1,opnd2,opnd1);
235 1.1 fredette roundup = TRUE;
236 1.1 fredette }
237 1.1 fredette if (stepcount > 0 || Sgl_iszero(opnd1)) {
238 1.1 fredette /* division is exact, remainder is zero */
239 1.1 fredette Sgl_setzero_exponentmantissa(result);
240 1.1 fredette *dstptr = result;
241 1.1 fredette return(NOEXCEPTION);
242 1.1 fredette }
243 1.1 fredette
244 1.1 fredette /*
245 1.1 fredette * Check for cases where opnd1/opnd2 < n
246 1.1 fredette *
247 1.1 fredette * In this case the result's sign will be opposite that of
248 1.1 fredette * opnd1. The mantissa also needs some correction.
249 1.1 fredette */
250 1.1 fredette Sgl_leftshiftby1(opnd1);
251 1.1 fredette if (Sgl_isgreaterthan(opnd1,opnd2)) {
252 1.1 fredette Sgl_invert_sign(result);
253 1.1 fredette Sgl_subtract((opnd2<<1),opnd1,opnd1);
254 1.1 fredette }
255 1.1 fredette /* check for remainder being exactly 1/2 of opnd2 */
256 1.1 fredette else if (Sgl_isequal(opnd1,opnd2) && roundup) {
257 1.1 fredette Sgl_invert_sign(result);
258 1.1 fredette }
259 1.1 fredette
260 1.1 fredette /* normalize result's mantissa */
261 1.1 fredette while (Sgl_iszero_hidden(opnd1)) {
262 1.1 fredette dest_exponent--;
263 1.1 fredette Sgl_leftshiftby1(opnd1);
264 1.1 fredette }
265 1.1 fredette Sgl_set_exponentmantissa(result,opnd1);
266 1.1 fredette
267 1.1 fredette /*
268 1.1 fredette * Test for underflow
269 1.1 fredette */
270 1.1 fredette testforunderflow:
271 1.1 fredette if (dest_exponent <= 0) {
272 1.1 fredette /* trap if UNDERFLOWTRAP enabled */
273 1.1 fredette if (Is_underflowtrap_enabled()) {
274 1.1 fredette /*
275 1.1 fredette * Adjust bias of result
276 1.1 fredette */
277 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl);
278 1.1 fredette *dstptr = result;
279 1.1 fredette /* frem is always exact */
280 1.1 fredette return(UNDERFLOWEXCEPTION);
281 1.1 fredette }
282 1.1 fredette /*
283 1.1 fredette * denormalize result or set to signed zero
284 1.1 fredette */
285 1.1 fredette if (dest_exponent >= (1 - SGL_P)) {
286 1.1 fredette Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
287 1.1 fredette } else {
288 1.1 fredette Sgl_setzero_exponentmantissa(result);
289 1.1 fredette }
290 1.1 fredette }
291 1.1 fredette else Sgl_set_exponent(result,dest_exponent);
292 1.1 fredette *dstptr = result;
293 1.1 fredette return(NOEXCEPTION);
294 1.1 fredette }
295