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fpu_subr.c revision 1.12
      1 /*	$NetBSD: fpu_subr.c,v 1.12 2013/04/21 02:50:48 isaki Exp $ */
      2 
      3 /*
      4  * Copyright (c) 1992, 1993
      5  *	The Regents of the University of California.  All rights reserved.
      6  *
      7  * This software was developed by the Computer Systems Engineering group
      8  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
      9  * contributed to Berkeley.
     10  *
     11  * All advertising materials mentioning features or use of this software
     12  * must display the following acknowledgement:
     13  *	This product includes software developed by the University of
     14  *	California, Lawrence Berkeley Laboratory.
     15  *
     16  * Redistribution and use in source and binary forms, with or without
     17  * modification, are permitted provided that the following conditions
     18  * are met:
     19  * 1. Redistributions of source code must retain the above copyright
     20  *    notice, this list of conditions and the following disclaimer.
     21  * 2. Redistributions in binary form must reproduce the above copyright
     22  *    notice, this list of conditions and the following disclaimer in the
     23  *    documentation and/or other materials provided with the distribution.
     24  * 3. Neither the name of the University nor the names of its contributors
     25  *    may be used to endorse or promote products derived from this software
     26  *    without specific prior written permission.
     27  *
     28  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     29  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     30  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     31  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     32  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     33  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     34  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     35  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     36  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     37  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     38  * SUCH DAMAGE.
     39  *
     40  *	@(#)fpu_subr.c	8.1 (Berkeley) 6/11/93
     41  */
     42 
     43 /*
     44  * FPU subroutines.
     45  */
     46 
     47 #include <sys/cdefs.h>
     48 __KERNEL_RCSID(0, "$NetBSD: fpu_subr.c,v 1.12 2013/04/21 02:50:48 isaki Exp $");
     49 
     50 #include <sys/types.h>
     51 #include <sys/systm.h>
     52 
     53 #include <machine/reg.h>
     54 
     55 #include "fpu_emulate.h"
     56 #include "fpu_arith.h"
     57 
     58 /*
     59  * m68020 or later has a BFFFO instruction, therefore use it.
     60  * Otherwise, use C version.
     61  */
     62 static inline int
     63 bfffo(uint32_t src)
     64 {
     65 	int offset;
     66 #if defined(__m68k__) && !defined(__mc68010__)
     67 	__asm volatile("bfffo %1{#0:#32},%0" : "=d"(offset) : "g"(src));
     68 #else
     69 	int width = 32;
     70 	for (offset = 0; width-- > 0 && (int)src >= 0; src <<= 1) {
     71 		offset++;
     72 	}
     73 #endif
     74 	return offset;
     75 }
     76 
     77 /*
     78  * Shift the given number right rsh bits.  Any bits that `fall off' will get
     79  * shoved into the sticky field; we return the resulting sticky.  Note that
     80  * shifting NaNs is legal (this will never shift all bits out); a NaN's
     81  * sticky field is ignored anyway.
     82  */
     83 int
     84 fpu_shr(struct fpn *fp, int rsh)
     85 {
     86 	uint32_t m0, m1, m2, s;
     87 	int lsh;
     88 
     89 #ifdef DIAGNOSTIC
     90 	if (rsh < 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
     91 		panic("fpu_rightshift 1");
     92 #endif
     93 
     94 	m0 = fp->fp_mant[0];
     95 	m1 = fp->fp_mant[1];
     96 	m2 = fp->fp_mant[2];
     97 
     98 	/* If shifting all the bits out, take a shortcut. */
     99 	if (rsh >= FP_NMANT) {
    100 #ifdef DIAGNOSTIC
    101 		if ((m0 | m1 | m2) == 0)
    102 			panic("fpu_rightshift 2");
    103 #endif
    104 		fp->fp_mant[0] = 0;
    105 		fp->fp_mant[1] = 0;
    106 		fp->fp_mant[2] = 0;
    107 #ifdef notdef
    108 		if ((m0 | m1 | m2) == 0)
    109 			fp->fp_class = FPC_ZERO;
    110 		else
    111 #endif
    112 			fp->fp_sticky = 1;
    113 		return (1);
    114 	}
    115 
    116 	/* Squish out full words. */
    117 	s = fp->fp_sticky;
    118 	if (rsh >= 32 * 2) {
    119 		s |= m2 | m1;
    120 		m2 = m0, m1 = 0, m0 = 0;
    121 	} else if (rsh >= 32) {
    122 		s |= m2;
    123 		m2 = m1, m1 = m0, m0 = 0;
    124 	}
    125 
    126 	/* Handle any remaining partial word. */
    127 	if ((rsh &= 31) != 0) {
    128 		lsh = 32 - rsh;
    129 		s |= m2 << lsh;
    130 		m2 = (m2 >> rsh) | (m1 << lsh);
    131 		m1 = (m1 >> rsh) | (m0 << lsh);
    132 		m0 >>= rsh;
    133 	}
    134 	fp->fp_mant[0] = m0;
    135 	fp->fp_mant[1] = m1;
    136 	fp->fp_mant[2] = m2;
    137 	fp->fp_sticky = s;
    138 	return (s);
    139 }
    140 
    141 /*
    142  * Force a number to be normal, i.e., make its fraction have all zero
    143  * bits before FP_1, then FP_1, then all 1 bits.  This is used for denorms
    144  * and (sometimes) for intermediate results.
    145  *
    146  * Internally, this may use a `supernormal' -- a number whose fp_mant
    147  * is greater than or equal to 2.0 -- so as a side effect you can hand it
    148  * a supernormal and it will fix it (provided fp->fp_mant[2] == 0).
    149  */
    150 void
    151 fpu_norm(struct fpn *fp)
    152 {
    153 	uint32_t m0, m1, m2, sup, nrm;
    154 	int lsh, rsh, exp;
    155 
    156 	exp = fp->fp_exp;
    157 	m0 = fp->fp_mant[0];
    158 	m1 = fp->fp_mant[1];
    159 	m2 = fp->fp_mant[2];
    160 
    161 	/* Handle severe subnormals with 32-bit moves. */
    162 	if (m0 == 0) {
    163 		if (m1) {
    164 			m0 = m1;
    165 			m1 = m2;
    166 			m2 = 0;
    167 			exp -= 32;
    168 		} else if (m2) {
    169 			m0 = m2;
    170 			m1 = 0;
    171 			m2 = 0;
    172 			exp -= 2 * 32;
    173 		} else {
    174 			fp->fp_class = FPC_ZERO;
    175 			return;
    176 		}
    177 	}
    178 
    179 	/* Now fix any supernormal or remaining subnormal. */
    180 	nrm = FP_1;
    181 	sup = nrm << 1;
    182 	if (m0 >= sup) {
    183 		/*
    184 		 * We have a supernormal number.  We need to shift it right.
    185 		 * We may assume m2==0.
    186 		 */
    187 		rsh = bfffo(m0);
    188 		rsh = 31 - rsh - FP_LG;
    189 		exp += rsh;
    190 		lsh = 32 - rsh;
    191 		m2 = m1 << lsh;
    192 		m1 = (m1 >> rsh) | (m0 << lsh);
    193 		m0 = (m0 >> rsh);
    194 	} else if (m0 < nrm) {
    195 		/*
    196 		 * We have a regular denorm (a subnormal number), and need
    197 		 * to shift it left.
    198 		 */
    199 		lsh = bfffo(m0);
    200 		lsh = FP_LG - 31 + lsh;
    201 		exp -= lsh;
    202 		rsh = 32 - lsh;
    203 		m0 = (m0 << lsh) | (m1 >> rsh);
    204 		m1 = (m1 << lsh) | (m2 >> rsh);
    205 		m2 <<= lsh;
    206 	}
    207 
    208 	fp->fp_exp = exp;
    209 	fp->fp_mant[0] = m0;
    210 	fp->fp_mant[1] = m1;
    211 	fp->fp_mant[2] = m2;
    212 }
    213 
    214 /*
    215  * Concoct a `fresh' Quiet NaN per Appendix N.
    216  * As a side effect, we set OPERR for the current exceptions.
    217  */
    218 struct fpn *
    219 fpu_newnan(struct fpemu *fe)
    220 {
    221 	struct fpn *fp;
    222 
    223 	fe->fe_fpsr |= FPSR_OPERR;
    224 	fp = &fe->fe_f3;
    225 	fp->fp_class = FPC_QNAN;
    226 	fp->fp_sign = 0;
    227 	fp->fp_mant[0] = FP_1 - 1;
    228 	fp->fp_mant[1] = fp->fp_mant[2] = ~0;
    229 	return (fp);
    230 }
    231