xref: /linux/arch/parisc/math-emu/sfrem.c (revision f3539c12d8196ce0a1993364d30b3a18908470d1)
1 /*
2  * Linux/PA-RISC Project (http://www.parisc-linux.org/)
3  *
4  * Floating-point emulation code
5  *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
6  *
7  *    This program is free software; you can redistribute it and/or modify
8  *    it under the terms of the GNU General Public License as published by
9  *    the Free Software Foundation; either version 2, or (at your option)
10  *    any later version.
11  *
12  *    This program is distributed in the hope that it will be useful,
13  *    but WITHOUT ANY WARRANTY; without even the implied warranty of
14  *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15  *    GNU General Public License for more details.
16  *
17  *    You should have received a copy of the GNU General Public License
18  *    along with this program; if not, write to the Free Software
19  *    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
20  */
21 /*
22  * BEGIN_DESC
23  *
24  *  File:
25  *	@(#)	pa/spmath/sfrem.c		$Revision: 1.1 $
26  *
27  *  Purpose:
28  *	Single Precision Floating-point Remainder
29  *
30  *  External Interfaces:
31  *	sgl_frem(srcptr1,srcptr2,dstptr,status)
32  *
33  *  Internal Interfaces:
34  *
35  *  Theory:
36  *	<<please update with a overview of the operation of this file>>
37  *
38  * END_DESC
39 */
40 
41 
42 
43 #include "float.h"
44 #include "sgl_float.h"
45 
46 /*
47  *  Single Precision Floating-point Remainder
48  */
49 
50 int
51 sgl_frem (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2,
52 	  sgl_floating_point * dstptr, unsigned int *status)
53 {
54 	register unsigned int opnd1, opnd2, result;
55 	register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
56 	register boolean roundup = FALSE;
57 
58 	opnd1 = *srcptr1;
59 	opnd2 = *srcptr2;
60 	/*
61 	 * check first operand for NaN's or infinity
62 	 */
63 	if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
64 		if (Sgl_iszero_mantissa(opnd1)) {
65 			if (Sgl_isnotnan(opnd2)) {
66 				/* invalid since first operand is infinity */
67 				if (Is_invalidtrap_enabled())
68                                 	return(INVALIDEXCEPTION);
69                                 Set_invalidflag();
70                                 Sgl_makequietnan(result);
71 				*dstptr = result;
72 				return(NOEXCEPTION);
73 			}
74 		}
75 		else {
76                 	/*
77                  	 * is NaN; signaling or quiet?
78                  	 */
79                 	if (Sgl_isone_signaling(opnd1)) {
80                         	/* trap if INVALIDTRAP enabled */
81                         	if (Is_invalidtrap_enabled())
82                             		return(INVALIDEXCEPTION);
83                         	/* make NaN quiet */
84                         	Set_invalidflag();
85                         	Sgl_set_quiet(opnd1);
86                 	}
87 			/*
88 			 * is second operand a signaling NaN?
89 			 */
90 			else if (Sgl_is_signalingnan(opnd2)) {
91                         	/* trap if INVALIDTRAP enabled */
92                         	if (Is_invalidtrap_enabled())
93                             		return(INVALIDEXCEPTION);
94                         	/* make NaN quiet */
95                         	Set_invalidflag();
96                         	Sgl_set_quiet(opnd2);
97                 		*dstptr = opnd2;
98                 		return(NOEXCEPTION);
99 			}
100                 	/*
101                  	 * return quiet NaN
102                  	 */
103                 	*dstptr = opnd1;
104                 	return(NOEXCEPTION);
105 		}
106 	}
107 	/*
108 	 * check second operand for NaN's or infinity
109 	 */
110 	if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
111 		if (Sgl_iszero_mantissa(opnd2)) {
112 			/*
113 			 * return first operand
114 			 */
115                 	*dstptr = opnd1;
116 			return(NOEXCEPTION);
117 		}
118                 /*
119                  * is NaN; signaling or quiet?
120                  */
121                 if (Sgl_isone_signaling(opnd2)) {
122                         /* trap if INVALIDTRAP enabled */
123                         if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
124                         /* make NaN quiet */
125                         Set_invalidflag();
126                         Sgl_set_quiet(opnd2);
127                 }
128                 /*
129                  * return quiet NaN
130                  */
131                 *dstptr = opnd2;
132                 return(NOEXCEPTION);
133 	}
134 	/*
135 	 * check second operand for zero
136 	 */
137 	if (Sgl_iszero_exponentmantissa(opnd2)) {
138 		/* invalid since second operand is zero */
139 		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
140                 Set_invalidflag();
141                 Sgl_makequietnan(result);
142 		*dstptr = result;
143 		return(NOEXCEPTION);
144 	}
145 
146 	/*
147 	 * get sign of result
148 	 */
149 	result = opnd1;
150 
151 	/*
152 	 * check for denormalized operands
153 	 */
154 	if (opnd1_exponent == 0) {
155 		/* check for zero */
156 		if (Sgl_iszero_mantissa(opnd1)) {
157 			*dstptr = opnd1;
158 			return(NOEXCEPTION);
159 		}
160 		/* normalize, then continue */
161 		opnd1_exponent = 1;
162 		Sgl_normalize(opnd1,opnd1_exponent);
163 	}
164 	else {
165 		Sgl_clear_signexponent_set_hidden(opnd1);
166 	}
167 	if (opnd2_exponent == 0) {
168 		/* normalize, then continue */
169 		opnd2_exponent = 1;
170 		Sgl_normalize(opnd2,opnd2_exponent);
171 	}
172 	else {
173 		Sgl_clear_signexponent_set_hidden(opnd2);
174 	}
175 
176 	/* find result exponent and divide step loop count */
177 	dest_exponent = opnd2_exponent - 1;
178 	stepcount = opnd1_exponent - opnd2_exponent;
179 
180 	/*
181 	 * check for opnd1/opnd2 < 1
182 	 */
183 	if (stepcount < 0) {
184 		/*
185 		 * check for opnd1/opnd2 > 1/2
186 		 *
187 		 * In this case n will round to 1, so
188 		 *    r = opnd1 - opnd2
189 		 */
190 		if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) {
191 			Sgl_all(result) = ~Sgl_all(result);   /* set sign */
192 			/* align opnd2 with opnd1 */
193 			Sgl_leftshiftby1(opnd2);
194 			Sgl_subtract(opnd2,opnd1,opnd2);
195 			/* now normalize */
196                 	while (Sgl_iszero_hidden(opnd2)) {
197                         	Sgl_leftshiftby1(opnd2);
198                         	dest_exponent--;
199 			}
200 			Sgl_set_exponentmantissa(result,opnd2);
201 			goto testforunderflow;
202 		}
203 		/*
204 		 * opnd1/opnd2 <= 1/2
205 		 *
206 		 * In this case n will round to zero, so
207 		 *    r = opnd1
208 		 */
209 		Sgl_set_exponentmantissa(result,opnd1);
210 		dest_exponent = opnd1_exponent;
211 		goto testforunderflow;
212 	}
213 
214 	/*
215 	 * Generate result
216 	 *
217 	 * Do iterative subtract until remainder is less than operand 2.
218 	 */
219 	while (stepcount-- > 0 && Sgl_all(opnd1)) {
220 		if (Sgl_isnotlessthan(opnd1,opnd2))
221 			Sgl_subtract(opnd1,opnd2,opnd1);
222 		Sgl_leftshiftby1(opnd1);
223 	}
224 	/*
225 	 * Do last subtract, then determine which way to round if remainder
226 	 * is exactly 1/2 of opnd2
227 	 */
228 	if (Sgl_isnotlessthan(opnd1,opnd2)) {
229 		Sgl_subtract(opnd1,opnd2,opnd1);
230 		roundup = TRUE;
231 	}
232 	if (stepcount > 0 || Sgl_iszero(opnd1)) {
233 		/* division is exact, remainder is zero */
234 		Sgl_setzero_exponentmantissa(result);
235 		*dstptr = result;
236 		return(NOEXCEPTION);
237 	}
238 
239 	/*
240 	 * Check for cases where opnd1/opnd2 < n
241 	 *
242 	 * In this case the result's sign will be opposite that of
243 	 * opnd1.  The mantissa also needs some correction.
244 	 */
245 	Sgl_leftshiftby1(opnd1);
246 	if (Sgl_isgreaterthan(opnd1,opnd2)) {
247 		Sgl_invert_sign(result);
248 		Sgl_subtract((opnd2<<1),opnd1,opnd1);
249 	}
250 	/* check for remainder being exactly 1/2 of opnd2 */
251 	else if (Sgl_isequal(opnd1,opnd2) && roundup) {
252 		Sgl_invert_sign(result);
253 	}
254 
255 	/* normalize result's mantissa */
256         while (Sgl_iszero_hidden(opnd1)) {
257                 dest_exponent--;
258                 Sgl_leftshiftby1(opnd1);
259         }
260 	Sgl_set_exponentmantissa(result,opnd1);
261 
262         /*
263          * Test for underflow
264          */
265     testforunderflow:
266 	if (dest_exponent <= 0) {
267                 /* trap if UNDERFLOWTRAP enabled */
268                 if (Is_underflowtrap_enabled()) {
269                         /*
270                          * Adjust bias of result
271                          */
272                         Sgl_setwrapped_exponent(result,dest_exponent,unfl);
273 			*dstptr = result;
274 			/* frem is always exact */
275 			return(UNDERFLOWEXCEPTION);
276                 }
277                 /*
278                  * denormalize result or set to signed zero
279                  */
280                 if (dest_exponent >= (1 - SGL_P)) {
281 			Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
282                 }
283                 else {
284 			Sgl_setzero_exponentmantissa(result);
285 		}
286 	}
287 	else Sgl_set_exponent(result,dest_exponent);
288 	*dstptr = result;
289 	return(NOEXCEPTION);
290 }
291