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fpu_subr.c revision 1.6
      1  1.6       agc /*	$NetBSD: fpu_subr.c,v 1.6 2003/08/07 16:28:12 agc Exp $ */
      2  1.1    briggs 
      3  1.1    briggs /*
      4  1.1    briggs  * Copyright (c) 1992, 1993
      5  1.1    briggs  *	The Regents of the University of California.  All rights reserved.
      6  1.1    briggs  *
      7  1.1    briggs  * This software was developed by the Computer Systems Engineering group
      8  1.1    briggs  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
      9  1.1    briggs  * contributed to Berkeley.
     10  1.1    briggs  *
     11  1.1    briggs  * All advertising materials mentioning features or use of this software
     12  1.1    briggs  * must display the following acknowledgement:
     13  1.1    briggs  *	This product includes software developed by the University of
     14  1.1    briggs  *	California, Lawrence Berkeley Laboratory.
     15  1.1    briggs  *
     16  1.1    briggs  * Redistribution and use in source and binary forms, with or without
     17  1.1    briggs  * modification, are permitted provided that the following conditions
     18  1.1    briggs  * are met:
     19  1.1    briggs  * 1. Redistributions of source code must retain the above copyright
     20  1.1    briggs  *    notice, this list of conditions and the following disclaimer.
     21  1.1    briggs  * 2. Redistributions in binary form must reproduce the above copyright
     22  1.1    briggs  *    notice, this list of conditions and the following disclaimer in the
     23  1.1    briggs  *    documentation and/or other materials provided with the distribution.
     24  1.6       agc  * 3. Neither the name of the University nor the names of its contributors
     25  1.1    briggs  *    may be used to endorse or promote products derived from this software
     26  1.1    briggs  *    without specific prior written permission.
     27  1.1    briggs  *
     28  1.1    briggs  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     29  1.1    briggs  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     30  1.1    briggs  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     31  1.1    briggs  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     32  1.1    briggs  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     33  1.1    briggs  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     34  1.1    briggs  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     35  1.1    briggs  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     36  1.1    briggs  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     37  1.1    briggs  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     38  1.1    briggs  * SUCH DAMAGE.
     39  1.1    briggs  *
     40  1.1    briggs  *	@(#)fpu_subr.c	8.1 (Berkeley) 6/11/93
     41  1.1    briggs  */
     42  1.1    briggs 
     43  1.1    briggs /*
     44  1.1    briggs  * FPU subroutines.
     45  1.1    briggs  */
     46  1.5     lukem 
     47  1.5     lukem #include <sys/cdefs.h>
     48  1.6       agc __KERNEL_RCSID(0, "$NetBSD: fpu_subr.c,v 1.6 2003/08/07 16:28:12 agc Exp $");
     49  1.1    briggs 
     50  1.1    briggs #include <sys/types.h>
     51  1.2    briggs #include <sys/systm.h>
     52  1.1    briggs 
     53  1.1    briggs #include <machine/reg.h>
     54  1.1    briggs 
     55  1.1    briggs #include "fpu_emulate.h"
     56  1.1    briggs #include "fpu_arith.h"
     57  1.1    briggs 
     58  1.1    briggs /*
     59  1.1    briggs  * Shift the given number right rsh bits.  Any bits that `fall off' will get
     60  1.1    briggs  * shoved into the sticky field; we return the resulting sticky.  Note that
     61  1.1    briggs  * shifting NaNs is legal (this will never shift all bits out); a NaN's
     62  1.1    briggs  * sticky field is ignored anyway.
     63  1.1    briggs  */
     64  1.1    briggs int
     65  1.1    briggs fpu_shr(register struct fpn *fp, register int rsh)
     66  1.1    briggs {
     67  1.3    briggs 	register u_int m0, m1, m2, s;
     68  1.1    briggs 	register int lsh;
     69  1.1    briggs 
     70  1.1    briggs #ifdef DIAGNOSTIC
     71  1.3    briggs 	if (rsh < 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
     72  1.1    briggs 		panic("fpu_rightshift 1");
     73  1.1    briggs #endif
     74  1.1    briggs 
     75  1.1    briggs 	m0 = fp->fp_mant[0];
     76  1.1    briggs 	m1 = fp->fp_mant[1];
     77  1.1    briggs 	m2 = fp->fp_mant[2];
     78  1.1    briggs 
     79  1.1    briggs 	/* If shifting all the bits out, take a shortcut. */
     80  1.1    briggs 	if (rsh >= FP_NMANT) {
     81  1.1    briggs #ifdef DIAGNOSTIC
     82  1.3    briggs 		if ((m0 | m1 | m2) == 0)
     83  1.1    briggs 			panic("fpu_rightshift 2");
     84  1.1    briggs #endif
     85  1.1    briggs 		fp->fp_mant[0] = 0;
     86  1.1    briggs 		fp->fp_mant[1] = 0;
     87  1.1    briggs 		fp->fp_mant[2] = 0;
     88  1.1    briggs #ifdef notdef
     89  1.3    briggs 		if ((m0 | m1 | m2) == 0)
     90  1.1    briggs 			fp->fp_class = FPC_ZERO;
     91  1.1    briggs 		else
     92  1.1    briggs #endif
     93  1.1    briggs 			fp->fp_sticky = 1;
     94  1.1    briggs 		return (1);
     95  1.1    briggs 	}
     96  1.1    briggs 
     97  1.1    briggs 	/* Squish out full words. */
     98  1.1    briggs 	s = fp->fp_sticky;
     99  1.3    briggs 	if (rsh >= 32 * 2) {
    100  1.3    briggs 		s |= m2 | m1;
    101  1.3    briggs 		m2 = m0, m1 = 0, m0 = 0;
    102  1.1    briggs 	} else if (rsh >= 32) {
    103  1.3    briggs 		s |= m2;
    104  1.3    briggs 		m2 = m1, m1 = m0, m0 = 0;
    105  1.1    briggs 	}
    106  1.1    briggs 
    107  1.1    briggs 	/* Handle any remaining partial word. */
    108  1.1    briggs 	if ((rsh &= 31) != 0) {
    109  1.1    briggs 		lsh = 32 - rsh;
    110  1.3    briggs 		s |= m2 << lsh;
    111  1.1    briggs 		m2 = (m2 >> rsh) | (m1 << lsh);
    112  1.1    briggs 		m1 = (m1 >> rsh) | (m0 << lsh);
    113  1.1    briggs 		m0 >>= rsh;
    114  1.1    briggs 	}
    115  1.1    briggs 	fp->fp_mant[0] = m0;
    116  1.1    briggs 	fp->fp_mant[1] = m1;
    117  1.1    briggs 	fp->fp_mant[2] = m2;
    118  1.1    briggs 	fp->fp_sticky = s;
    119  1.1    briggs 	return (s);
    120  1.1    briggs }
    121  1.1    briggs 
    122  1.1    briggs /*
    123  1.1    briggs  * Force a number to be normal, i.e., make its fraction have all zero
    124  1.1    briggs  * bits before FP_1, then FP_1, then all 1 bits.  This is used for denorms
    125  1.1    briggs  * and (sometimes) for intermediate results.
    126  1.1    briggs  *
    127  1.1    briggs  * Internally, this may use a `supernormal' -- a number whose fp_mant
    128  1.1    briggs  * is greater than or equal to 2.0 -- so as a side effect you can hand it
    129  1.3    briggs  * a supernormal and it will fix it (provided fp->fp_mant[2] == 0).
    130  1.1    briggs  */
    131  1.1    briggs void
    132  1.1    briggs fpu_norm(register struct fpn *fp)
    133  1.1    briggs {
    134  1.3    briggs 	register u_int m0, m1, m2, sup, nrm;
    135  1.1    briggs 	register int lsh, rsh, exp;
    136  1.1    briggs 
    137  1.1    briggs 	exp = fp->fp_exp;
    138  1.1    briggs 	m0 = fp->fp_mant[0];
    139  1.1    briggs 	m1 = fp->fp_mant[1];
    140  1.1    briggs 	m2 = fp->fp_mant[2];
    141  1.1    briggs 
    142  1.1    briggs 	/* Handle severe subnormals with 32-bit moves. */
    143  1.1    briggs 	if (m0 == 0) {
    144  1.3    briggs 		if (m1) {
    145  1.3    briggs 			m0 = m1;
    146  1.3    briggs 			m1 = m2;
    147  1.3    briggs 			m2 = 0;
    148  1.3    briggs 			exp -= 32;
    149  1.3    briggs 		} else if (m2) {
    150  1.3    briggs 			m0 = m2;
    151  1.3    briggs 			m1 = 0;
    152  1.3    briggs 			m2 = 0;
    153  1.3    briggs 			exp -= 2 * 32;
    154  1.3    briggs 		} else {
    155  1.1    briggs 			fp->fp_class = FPC_ZERO;
    156  1.1    briggs 			return;
    157  1.1    briggs 		}
    158  1.1    briggs 	}
    159  1.1    briggs 
    160  1.1    briggs 	/* Now fix any supernormal or remaining subnormal. */
    161  1.1    briggs 	nrm = FP_1;
    162  1.1    briggs 	sup = nrm << 1;
    163  1.1    briggs 	if (m0 >= sup) {
    164  1.1    briggs 		/*
    165  1.1    briggs 		 * We have a supernormal number.  We need to shift it right.
    166  1.3    briggs 		 * We may assume m2==0.
    167  1.1    briggs 		 */
    168  1.4  kristerw 		__asm __volatile("bfffo %1{#0:#32},%0" : "=d"(rsh) : "g"(m0));
    169  1.3    briggs 		rsh = 31 - rsh - FP_LG;
    170  1.1    briggs 		exp += rsh;
    171  1.1    briggs 		lsh = 32 - rsh;
    172  1.3    briggs 		m2 = m1 << lsh;
    173  1.1    briggs 		m1 = (m1 >> rsh) | (m0 << lsh);
    174  1.3    briggs 		m0 = (m0 >> rsh);
    175  1.1    briggs 	} else if (m0 < nrm) {
    176  1.1    briggs 		/*
    177  1.1    briggs 		 * We have a regular denorm (a subnormal number), and need
    178  1.1    briggs 		 * to shift it left.
    179  1.1    briggs 		 */
    180  1.4  kristerw 		__asm __volatile("bfffo %1{#0:#32},%0" : "=d"(lsh) : "g"(m0));
    181  1.3    briggs 		lsh = FP_LG - 31 + lsh;
    182  1.1    briggs 		exp -= lsh;
    183  1.1    briggs 		rsh = 32 - lsh;
    184  1.3    briggs 		m0 = (m0 << lsh) | (m1 >> rsh);
    185  1.1    briggs 		m1 = (m1 << lsh) | (m2 >> rsh);
    186  1.3    briggs 		m2 <<= lsh;
    187  1.1    briggs 	}
    188  1.1    briggs 
    189  1.1    briggs 	fp->fp_exp = exp;
    190  1.1    briggs 	fp->fp_mant[0] = m0;
    191  1.1    briggs 	fp->fp_mant[1] = m1;
    192  1.1    briggs 	fp->fp_mant[2] = m2;
    193  1.1    briggs }
    194  1.1    briggs 
    195  1.1    briggs /*
    196  1.1    briggs  * Concoct a `fresh' Quiet NaN per Appendix N.
    197  1.1    briggs  * As a side effect, we set OPERR for the current exceptions.
    198  1.1    briggs  */
    199  1.1    briggs struct fpn *
    200  1.1    briggs fpu_newnan(register struct fpemu *fe)
    201  1.1    briggs {
    202  1.1    briggs 	register struct fpn *fp;
    203  1.1    briggs 
    204  1.1    briggs 	fe->fe_fpsr |= FPSR_OPERR;
    205  1.1    briggs 	fp = &fe->fe_f3;
    206  1.1    briggs 	fp->fp_class = FPC_QNAN;
    207  1.1    briggs 	fp->fp_sign = 0;
    208  1.1    briggs 	fp->fp_mant[0] = FP_1 - 1;
    209  1.3    briggs 	fp->fp_mant[1] = fp->fp_mant[2] = ~0;
    210  1.1    briggs 	return (fp);
    211  1.1    briggs }
    212