xref: /netbsd-src/sys/arch/hppa/spmath/sfrem.c (revision d72340ff8e2fb5c3ca49ab85c798389cda4408d6)
1*d72340ffSskrll /*	$NetBSD: sfrem.c,v 1.5 2012/02/04 17:03:10 skrll Exp $	*/
2f4f0d8a3Sfredette 
3f4f0d8a3Sfredette /*	$OpenBSD: sfrem.c,v 1.4 2001/03/29 03:58:19 mickey Exp $	*/
4f4f0d8a3Sfredette 
5f4f0d8a3Sfredette /*
6f4f0d8a3Sfredette  * Copyright 1996 1995 by Open Software Foundation, Inc.
7f4f0d8a3Sfredette  *              All Rights Reserved
8f4f0d8a3Sfredette  *
9f4f0d8a3Sfredette  * Permission to use, copy, modify, and distribute this software and
10f4f0d8a3Sfredette  * its documentation for any purpose and without fee is hereby granted,
11f4f0d8a3Sfredette  * provided that the above copyright notice appears in all copies and
12f4f0d8a3Sfredette  * that both the copyright notice and this permission notice appear in
13f4f0d8a3Sfredette  * supporting documentation.
14f4f0d8a3Sfredette  *
15f4f0d8a3Sfredette  * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
16f4f0d8a3Sfredette  * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
17f4f0d8a3Sfredette  * FOR A PARTICULAR PURPOSE.
18f4f0d8a3Sfredette  *
19f4f0d8a3Sfredette  * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
20f4f0d8a3Sfredette  * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
21f4f0d8a3Sfredette  * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
22f4f0d8a3Sfredette  * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
23f4f0d8a3Sfredette  * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
24f4f0d8a3Sfredette  *
25f4f0d8a3Sfredette  */
26f4f0d8a3Sfredette /*
27f4f0d8a3Sfredette  * pmk1.1
28f4f0d8a3Sfredette  */
29f4f0d8a3Sfredette /*
30f4f0d8a3Sfredette  * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
31f4f0d8a3Sfredette  *
32f4f0d8a3Sfredette  * To anyone who acknowledges that this file is provided "AS IS"
33f4f0d8a3Sfredette  * without any express or implied warranty:
34f4f0d8a3Sfredette  *     permission to use, copy, modify, and distribute this file
35f4f0d8a3Sfredette  * for any purpose is hereby granted without fee, provided that
36f4f0d8a3Sfredette  * the above copyright notice and this notice appears in all
37f4f0d8a3Sfredette  * copies, and that the name of Hewlett-Packard Company not be
38f4f0d8a3Sfredette  * used in advertising or publicity pertaining to distribution
39f4f0d8a3Sfredette  * of the software without specific, written prior permission.
40f4f0d8a3Sfredette  * Hewlett-Packard Company makes no representations about the
41f4f0d8a3Sfredette  * suitability of this software for any purpose.
42f4f0d8a3Sfredette  */
43f4f0d8a3Sfredette 
440c82163cSlukem #include <sys/cdefs.h>
45*d72340ffSskrll __KERNEL_RCSID(0, "$NetBSD: sfrem.c,v 1.5 2012/02/04 17:03:10 skrll Exp $");
46f4f0d8a3Sfredette 
47f4f0d8a3Sfredette #include "../spmath/float.h"
48f4f0d8a3Sfredette #include "../spmath/sgl_float.h"
49f4f0d8a3Sfredette 
50f4f0d8a3Sfredette /*
51f4f0d8a3Sfredette  *  Single Precision Floating-point Remainder
52f4f0d8a3Sfredette  */
53f4f0d8a3Sfredette int
sgl_frem(sgl_floating_point * srcptr1,sgl_floating_point * srcptr2,sgl_floating_point * dstptr,unsigned int * status)54*d72340ffSskrll sgl_frem(sgl_floating_point *srcptr1, sgl_floating_point *srcptr2,
55*d72340ffSskrll     sgl_floating_point *dstptr, unsigned int *status)
56f4f0d8a3Sfredette {
57f4f0d8a3Sfredette 	register unsigned int opnd1, opnd2, result;
58f4f0d8a3Sfredette 	register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
59f5d6b882Sthorpej 	register int roundup = false;
60f4f0d8a3Sfredette 
61f4f0d8a3Sfredette 	opnd1 = *srcptr1;
62f4f0d8a3Sfredette 	opnd2 = *srcptr2;
63f4f0d8a3Sfredette 	/*
64f4f0d8a3Sfredette 	 * check first operand for NaN's or infinity
65f4f0d8a3Sfredette 	 */
66f4f0d8a3Sfredette 	if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
67f4f0d8a3Sfredette 		if (Sgl_iszero_mantissa(opnd1)) {
68f4f0d8a3Sfredette 			if (Sgl_isnotnan(opnd2)) {
69f4f0d8a3Sfredette 				/* invalid since first operand is infinity */
70f4f0d8a3Sfredette 				if (Is_invalidtrap_enabled())
71f4f0d8a3Sfredette 					return(INVALIDEXCEPTION);
72f4f0d8a3Sfredette 				Set_invalidflag();
73f4f0d8a3Sfredette 				Sgl_makequietnan(result);
74f4f0d8a3Sfredette 				*dstptr = result;
75f4f0d8a3Sfredette 				return(NOEXCEPTION);
76f4f0d8a3Sfredette 			}
77f4f0d8a3Sfredette 		}
78f4f0d8a3Sfredette 		else {
79f4f0d8a3Sfredette 			/*
80f4f0d8a3Sfredette 			 * is NaN; signaling or quiet?
81f4f0d8a3Sfredette 			 */
82f4f0d8a3Sfredette 			if (Sgl_isone_signaling(opnd1)) {
83f4f0d8a3Sfredette 				/* trap if INVALIDTRAP enabled */
84f4f0d8a3Sfredette 				if (Is_invalidtrap_enabled())
85f4f0d8a3Sfredette 					return(INVALIDEXCEPTION);
86f4f0d8a3Sfredette 				/* make NaN quiet */
87f4f0d8a3Sfredette 				Set_invalidflag();
88f4f0d8a3Sfredette 				Sgl_set_quiet(opnd1);
89f4f0d8a3Sfredette 			}
90f4f0d8a3Sfredette 			/*
91f4f0d8a3Sfredette 			 * is second operand a signaling NaN?
92f4f0d8a3Sfredette 			 */
93f4f0d8a3Sfredette 			else if (Sgl_is_signalingnan(opnd2)) {
94f4f0d8a3Sfredette 				/* trap if INVALIDTRAP enabled */
95f4f0d8a3Sfredette 				if (Is_invalidtrap_enabled())
96f4f0d8a3Sfredette 					return(INVALIDEXCEPTION);
97f4f0d8a3Sfredette 				/* make NaN quiet */
98f4f0d8a3Sfredette 				Set_invalidflag();
99f4f0d8a3Sfredette 				Sgl_set_quiet(opnd2);
100f4f0d8a3Sfredette 				*dstptr = opnd2;
101f4f0d8a3Sfredette 				return(NOEXCEPTION);
102f4f0d8a3Sfredette 			}
103f4f0d8a3Sfredette 			/*
104f4f0d8a3Sfredette 			 * return quiet NaN
105f4f0d8a3Sfredette 			 */
106f4f0d8a3Sfredette 			*dstptr = opnd1;
107f4f0d8a3Sfredette 			return(NOEXCEPTION);
108f4f0d8a3Sfredette 		}
109f4f0d8a3Sfredette 	}
110f4f0d8a3Sfredette 	/*
111f4f0d8a3Sfredette 	 * check second operand for NaN's or infinity
112f4f0d8a3Sfredette 	 */
113f4f0d8a3Sfredette 	if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
114f4f0d8a3Sfredette 		if (Sgl_iszero_mantissa(opnd2)) {
115f4f0d8a3Sfredette 			/*
116f4f0d8a3Sfredette 			 * return first operand
117f4f0d8a3Sfredette 			 */
118f4f0d8a3Sfredette 			*dstptr = opnd1;
119f4f0d8a3Sfredette 			return(NOEXCEPTION);
120f4f0d8a3Sfredette 		}
121f4f0d8a3Sfredette 		/*
122f4f0d8a3Sfredette 		 * is NaN; signaling or quiet?
123f4f0d8a3Sfredette 		 */
124f4f0d8a3Sfredette 		if (Sgl_isone_signaling(opnd2)) {
125f4f0d8a3Sfredette 			/* trap if INVALIDTRAP enabled */
126f4f0d8a3Sfredette 			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
127f4f0d8a3Sfredette 			/* make NaN quiet */
128f4f0d8a3Sfredette 			Set_invalidflag();
129f4f0d8a3Sfredette 			Sgl_set_quiet(opnd2);
130f4f0d8a3Sfredette 		}
131f4f0d8a3Sfredette 		/*
132f4f0d8a3Sfredette 		 * return quiet NaN
133f4f0d8a3Sfredette 		 */
134f4f0d8a3Sfredette 		*dstptr = opnd2;
135f4f0d8a3Sfredette 		return(NOEXCEPTION);
136f4f0d8a3Sfredette 	}
137f4f0d8a3Sfredette 	/*
138f4f0d8a3Sfredette 	 * check second operand for zero
139f4f0d8a3Sfredette 	 */
140f4f0d8a3Sfredette 	if (Sgl_iszero_exponentmantissa(opnd2)) {
141f4f0d8a3Sfredette 		/* invalid since second operand is zero */
142f4f0d8a3Sfredette 		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
143f4f0d8a3Sfredette 		Set_invalidflag();
144f4f0d8a3Sfredette 		Sgl_makequietnan(result);
145f4f0d8a3Sfredette 		*dstptr = result;
146f4f0d8a3Sfredette 		return(NOEXCEPTION);
147f4f0d8a3Sfredette 	}
148f4f0d8a3Sfredette 
149f4f0d8a3Sfredette 	/*
150f4f0d8a3Sfredette 	 * get sign of result
151f4f0d8a3Sfredette 	 */
152f4f0d8a3Sfredette 	result = opnd1;
153f4f0d8a3Sfredette 
154f4f0d8a3Sfredette 	/*
155f4f0d8a3Sfredette 	 * check for denormalized operands
156f4f0d8a3Sfredette 	 */
157f4f0d8a3Sfredette 	if (opnd1_exponent == 0) {
158f4f0d8a3Sfredette 		/* check for zero */
159f4f0d8a3Sfredette 		if (Sgl_iszero_mantissa(opnd1)) {
160f4f0d8a3Sfredette 			*dstptr = opnd1;
161f4f0d8a3Sfredette 			return(NOEXCEPTION);
162f4f0d8a3Sfredette 		}
163f4f0d8a3Sfredette 		/* normalize, then continue */
164f4f0d8a3Sfredette 		opnd1_exponent = 1;
165f4f0d8a3Sfredette 		Sgl_normalize(opnd1,opnd1_exponent);
166f4f0d8a3Sfredette 	}
167f4f0d8a3Sfredette 	else {
168f4f0d8a3Sfredette 		Sgl_clear_signexponent_set_hidden(opnd1);
169f4f0d8a3Sfredette 	}
170f4f0d8a3Sfredette 	if (opnd2_exponent == 0) {
171f4f0d8a3Sfredette 		/* normalize, then continue */
172f4f0d8a3Sfredette 		opnd2_exponent = 1;
173f4f0d8a3Sfredette 		Sgl_normalize(opnd2,opnd2_exponent);
174f4f0d8a3Sfredette 	}
175f4f0d8a3Sfredette 	else {
176f4f0d8a3Sfredette 		Sgl_clear_signexponent_set_hidden(opnd2);
177f4f0d8a3Sfredette 	}
178f4f0d8a3Sfredette 
179f4f0d8a3Sfredette 	/* find result exponent and divide step loop count */
180f4f0d8a3Sfredette 	dest_exponent = opnd2_exponent - 1;
181f4f0d8a3Sfredette 	stepcount = opnd1_exponent - opnd2_exponent;
182f4f0d8a3Sfredette 
183f4f0d8a3Sfredette 	/*
184f4f0d8a3Sfredette 	 * check for opnd1/opnd2 < 1
185f4f0d8a3Sfredette 	 */
186f4f0d8a3Sfredette 	if (stepcount < 0) {
187f4f0d8a3Sfredette 		/*
188f4f0d8a3Sfredette 		 * check for opnd1/opnd2 > 1/2
189f4f0d8a3Sfredette 		 *
190f4f0d8a3Sfredette 		 * In this case n will round to 1, so
191f4f0d8a3Sfredette 		 *    r = opnd1 - opnd2
192f4f0d8a3Sfredette 		 */
193f4f0d8a3Sfredette 		if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) {
194f4f0d8a3Sfredette 			Sgl_all(result) = ~Sgl_all(result);   /* set sign */
195f4f0d8a3Sfredette 			/* align opnd2 with opnd1 */
196f4f0d8a3Sfredette 			Sgl_leftshiftby1(opnd2);
197f4f0d8a3Sfredette 			Sgl_subtract(opnd2,opnd1,opnd2);
198f4f0d8a3Sfredette 			/* now normalize */
199f4f0d8a3Sfredette 			while (Sgl_iszero_hidden(opnd2)) {
200f4f0d8a3Sfredette 				Sgl_leftshiftby1(opnd2);
201f4f0d8a3Sfredette 				dest_exponent--;
202f4f0d8a3Sfredette 			}
203f4f0d8a3Sfredette 			Sgl_set_exponentmantissa(result,opnd2);
204f4f0d8a3Sfredette 			goto testforunderflow;
205f4f0d8a3Sfredette 		}
206f4f0d8a3Sfredette 		/*
207f4f0d8a3Sfredette 		 * opnd1/opnd2 <= 1/2
208f4f0d8a3Sfredette 		 *
209f4f0d8a3Sfredette 		 * In this case n will round to zero, so
210f4f0d8a3Sfredette 		 *    r = opnd1
211f4f0d8a3Sfredette 		 */
212f4f0d8a3Sfredette 		Sgl_set_exponentmantissa(result,opnd1);
213f4f0d8a3Sfredette 		dest_exponent = opnd1_exponent;
214f4f0d8a3Sfredette 		goto testforunderflow;
215f4f0d8a3Sfredette 	}
216f4f0d8a3Sfredette 
217f4f0d8a3Sfredette 	/*
218f4f0d8a3Sfredette 	 * Generate result
219f4f0d8a3Sfredette 	 *
220f4f0d8a3Sfredette 	 * Do iterative subtract until remainder is less than operand 2.
221f4f0d8a3Sfredette 	 */
222f4f0d8a3Sfredette 	while (stepcount-- > 0 && Sgl_all(opnd1)) {
223f4f0d8a3Sfredette 		if (Sgl_isnotlessthan(opnd1,opnd2))
224f4f0d8a3Sfredette 			Sgl_subtract(opnd1,opnd2,opnd1);
225f4f0d8a3Sfredette 		Sgl_leftshiftby1(opnd1);
226f4f0d8a3Sfredette 	}
227f4f0d8a3Sfredette 	/*
228f4f0d8a3Sfredette 	 * Do last subtract, then determine which way to round if remainder
229f4f0d8a3Sfredette 	 * is exactly 1/2 of opnd2
230f4f0d8a3Sfredette 	 */
231f4f0d8a3Sfredette 	if (Sgl_isnotlessthan(opnd1,opnd2)) {
232f4f0d8a3Sfredette 		Sgl_subtract(opnd1,opnd2,opnd1);
233f5d6b882Sthorpej 		roundup = true;
234f4f0d8a3Sfredette 	}
235f4f0d8a3Sfredette 	if (stepcount > 0 || Sgl_iszero(opnd1)) {
236f4f0d8a3Sfredette 		/* division is exact, remainder is zero */
237f4f0d8a3Sfredette 		Sgl_setzero_exponentmantissa(result);
238f4f0d8a3Sfredette 		*dstptr = result;
239f4f0d8a3Sfredette 		return(NOEXCEPTION);
240f4f0d8a3Sfredette 	}
241f4f0d8a3Sfredette 
242f4f0d8a3Sfredette 	/*
243f4f0d8a3Sfredette 	 * Check for cases where opnd1/opnd2 < n
244f4f0d8a3Sfredette 	 *
245f4f0d8a3Sfredette 	 * In this case the result's sign will be opposite that of
246f4f0d8a3Sfredette 	 * opnd1.  The mantissa also needs some correction.
247f4f0d8a3Sfredette 	 */
248f4f0d8a3Sfredette 	Sgl_leftshiftby1(opnd1);
249f4f0d8a3Sfredette 	if (Sgl_isgreaterthan(opnd1,opnd2)) {
250f4f0d8a3Sfredette 		Sgl_invert_sign(result);
251f4f0d8a3Sfredette 		Sgl_subtract((opnd2<<1),opnd1,opnd1);
252f4f0d8a3Sfredette 	}
253f4f0d8a3Sfredette 	/* check for remainder being exactly 1/2 of opnd2 */
254f4f0d8a3Sfredette 	else if (Sgl_isequal(opnd1,opnd2) && roundup) {
255f4f0d8a3Sfredette 		Sgl_invert_sign(result);
256f4f0d8a3Sfredette 	}
257f4f0d8a3Sfredette 
258f4f0d8a3Sfredette 	/* normalize result's mantissa */
259f4f0d8a3Sfredette 	while (Sgl_iszero_hidden(opnd1)) {
260f4f0d8a3Sfredette 		dest_exponent--;
261f4f0d8a3Sfredette 		Sgl_leftshiftby1(opnd1);
262f4f0d8a3Sfredette 	}
263f4f0d8a3Sfredette 	Sgl_set_exponentmantissa(result,opnd1);
264f4f0d8a3Sfredette 
265f4f0d8a3Sfredette 	/*
266f4f0d8a3Sfredette 	 * Test for underflow
267f4f0d8a3Sfredette 	 */
268f4f0d8a3Sfredette     testforunderflow:
269f4f0d8a3Sfredette 	if (dest_exponent <= 0) {
270f4f0d8a3Sfredette 		/* trap if UNDERFLOWTRAP enabled */
271f4f0d8a3Sfredette 		if (Is_underflowtrap_enabled()) {
272f4f0d8a3Sfredette 			/*
273f4f0d8a3Sfredette 			 * Adjust bias of result
274f4f0d8a3Sfredette 			 */
275f4f0d8a3Sfredette 			Sgl_setwrapped_exponent(result,dest_exponent,unfl);
276f4f0d8a3Sfredette 			*dstptr = result;
277f4f0d8a3Sfredette 			/* frem is always exact */
278f4f0d8a3Sfredette 			return(UNDERFLOWEXCEPTION);
279f4f0d8a3Sfredette 		}
280f4f0d8a3Sfredette 		/*
281f4f0d8a3Sfredette 		 * denormalize result or set to signed zero
282f4f0d8a3Sfredette 		 */
283f4f0d8a3Sfredette 		if (dest_exponent >= (1 - SGL_P)) {
284f4f0d8a3Sfredette 			Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
285f4f0d8a3Sfredette 		} else {
286f4f0d8a3Sfredette 			Sgl_setzero_exponentmantissa(result);
287f4f0d8a3Sfredette 		}
288f4f0d8a3Sfredette 	}
289f4f0d8a3Sfredette 	else Sgl_set_exponent(result,dest_exponent);
290f4f0d8a3Sfredette 	*dstptr = result;
291f4f0d8a3Sfredette 	return(NOEXCEPTION);
292f4f0d8a3Sfredette }
293