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fpu_subr.c revision 1.2
      1 /*	$NetBSD: fpu_subr.c,v 1.2 1996/04/30 11:52:38 briggs 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. All advertising materials mentioning features or use of this software
     25  *    must display the following acknowledgement:
     26  *	This product includes software developed by the University of
     27  *	California, Berkeley and its contributors.
     28  * 4. Neither the name of the University nor the names of its contributors
     29  *    may be used to endorse or promote products derived from this software
     30  *    without specific prior written permission.
     31  *
     32  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     33  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     34  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     35  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     36  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     37  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     38  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     39  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     40  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     41  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     42  * SUCH DAMAGE.
     43  *
     44  *	@(#)fpu_subr.c	8.1 (Berkeley) 6/11/93
     45  */
     46 
     47 /*
     48  * FPU subroutines.
     49  */
     50 
     51 #include <sys/types.h>
     52 #include <sys/systm.h>
     53 
     54 #include <machine/reg.h>
     55 
     56 #include "fpu_emulate.h"
     57 #include "fpu_arith.h"
     58 
     59 /*
     60  * Shift the given number right rsh bits.  Any bits that `fall off' will get
     61  * shoved into the sticky field; we return the resulting sticky.  Note that
     62  * shifting NaNs is legal (this will never shift all bits out); a NaN's
     63  * sticky field is ignored anyway.
     64  */
     65 int
     66 fpu_shr(register struct fpn *fp, register int rsh)
     67 {
     68 	register u_int m0, m1, m2, m3, s;
     69 	register int lsh;
     70 
     71 #ifdef DIAGNOSTIC
     72 	if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
     73 		panic("fpu_rightshift 1");
     74 #endif
     75 
     76 	m0 = fp->fp_mant[0];
     77 	m1 = fp->fp_mant[1];
     78 	m2 = fp->fp_mant[2];
     79 	m3 = fp->fp_mant[3];
     80 
     81 	/* If shifting all the bits out, take a shortcut. */
     82 	if (rsh >= FP_NMANT) {
     83 #ifdef DIAGNOSTIC
     84 		if ((m0 | m1 | m2 | m3) == 0)
     85 			panic("fpu_rightshift 2");
     86 #endif
     87 		fp->fp_mant[0] = 0;
     88 		fp->fp_mant[1] = 0;
     89 		fp->fp_mant[2] = 0;
     90 		fp->fp_mant[3] = 0;
     91 #ifdef notdef
     92 		if ((m0 | m1 | m2 | m3) == 0)
     93 			fp->fp_class = FPC_ZERO;
     94 		else
     95 #endif
     96 			fp->fp_sticky = 1;
     97 		return (1);
     98 	}
     99 
    100 	/* Squish out full words. */
    101 	s = fp->fp_sticky;
    102 	if (rsh >= 32 * 3) {
    103 		s |= m3 | m2 | m1;
    104 		m3 = m0, m2 = 0, m1 = 0, m0 = 0;
    105 	} else if (rsh >= 32 * 2) {
    106 		s |= m3 | m2;
    107 		m3 = m1, m2 = m0, m1 = 0, m0 = 0;
    108 	} else if (rsh >= 32) {
    109 		s |= m3;
    110 		m3 = m2, m2 = m1, m1 = m0, m0 = 0;
    111 	}
    112 
    113 	/* Handle any remaining partial word. */
    114 	if ((rsh &= 31) != 0) {
    115 		lsh = 32 - rsh;
    116 		s |= m3 << lsh;
    117 		m3 = (m3 >> rsh) | (m2 << lsh);
    118 		m2 = (m2 >> rsh) | (m1 << lsh);
    119 		m1 = (m1 >> rsh) | (m0 << lsh);
    120 		m0 >>= rsh;
    121 	}
    122 	fp->fp_mant[0] = m0;
    123 	fp->fp_mant[1] = m1;
    124 	fp->fp_mant[2] = m2;
    125 	fp->fp_mant[3] = m3;
    126 	fp->fp_sticky = s;
    127 	return (s);
    128 }
    129 
    130 /*
    131  * Force a number to be normal, i.e., make its fraction have all zero
    132  * bits before FP_1, then FP_1, then all 1 bits.  This is used for denorms
    133  * and (sometimes) for intermediate results.
    134  *
    135  * Internally, this may use a `supernormal' -- a number whose fp_mant
    136  * is greater than or equal to 2.0 -- so as a side effect you can hand it
    137  * a supernormal and it will fix it (provided fp->fp_mant[3] == 0).
    138  */
    139 void
    140 fpu_norm(register struct fpn *fp)
    141 {
    142 	register u_int m0, m1, m2, m3, top, sup, nrm;
    143 	register int lsh, rsh, exp;
    144 
    145 	exp = fp->fp_exp;
    146 	m0 = fp->fp_mant[0];
    147 	m1 = fp->fp_mant[1];
    148 	m2 = fp->fp_mant[2];
    149 	m3 = fp->fp_mant[3];
    150 
    151 	/* Handle severe subnormals with 32-bit moves. */
    152 	if (m0 == 0) {
    153 		if (m1)
    154 			m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32;
    155 		else if (m2)
    156 			m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32;
    157 		else if (m3)
    158 			m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32;
    159 		else {
    160 			fp->fp_class = FPC_ZERO;
    161 			return;
    162 		}
    163 	}
    164 
    165 	/* Now fix any supernormal or remaining subnormal. */
    166 	nrm = FP_1;
    167 	sup = nrm << 1;
    168 	if (m0 >= sup) {
    169 		/*
    170 		 * We have a supernormal number.  We need to shift it right.
    171 		 * We may assume m3==0.
    172 		 */
    173 		for (rsh = 1, top = m0 >> 1; top >= sup; rsh++)	/* XXX slow */
    174 			top >>= 1;
    175 		exp += rsh;
    176 		lsh = 32 - rsh;
    177 		m3 = m2 << lsh;
    178 		m2 = (m2 >> rsh) | (m1 << lsh);
    179 		m1 = (m1 >> rsh) | (m0 << lsh);
    180 		m0 = top;
    181 	} else if (m0 < nrm) {
    182 		/*
    183 		 * We have a regular denorm (a subnormal number), and need
    184 		 * to shift it left.
    185 		 */
    186 		for (lsh = 1, top = m0 << 1; top < nrm; lsh++)	/* XXX slow */
    187 			top <<= 1;
    188 		exp -= lsh;
    189 		rsh = 32 - lsh;
    190 		m0 = top | (m1 >> rsh);
    191 		m1 = (m1 << lsh) | (m2 >> rsh);
    192 		m2 = (m2 << lsh) | (m3 >> rsh);
    193 		m3 <<= lsh;
    194 	}
    195 
    196 	fp->fp_exp = exp;
    197 	fp->fp_mant[0] = m0;
    198 	fp->fp_mant[1] = m1;
    199 	fp->fp_mant[2] = m2;
    200 	fp->fp_mant[3] = m3;
    201 }
    202 
    203 /*
    204  * Concoct a `fresh' Quiet NaN per Appendix N.
    205  * As a side effect, we set OPERR for the current exceptions.
    206  */
    207 struct fpn *
    208 fpu_newnan(register struct fpemu *fe)
    209 {
    210 	register struct fpn *fp;
    211 
    212 	fe->fe_fpsr |= FPSR_OPERR;
    213 	fp = &fe->fe_f3;
    214 	fp->fp_class = FPC_QNAN;
    215 	fp->fp_sign = 0;
    216 	fp->fp_mant[0] = FP_1 - 1;
    217 	fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0;
    218 	return (fp);
    219 }
    220