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fpu_subr.c revision 1.10
      1  1.10   isaki /*	$NetBSD: fpu_subr.c,v 1.10 2013/03/26 11:30:21 isaki 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  1.10   isaki __KERNEL_RCSID(0, "$NetBSD: fpu_subr.c,v 1.10 2013/03/26 11:30:21 isaki 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   1.9   isaki fpu_shr(struct fpn *fp, int rsh)
     66   1.1  briggs {
     67  1.10   isaki 	uint32_t m0, m1, m2, s;
     68   1.9   isaki 	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   1.9   isaki fpu_norm(struct fpn *fp)
    133   1.1  briggs {
    134  1.10   isaki 	uint32_t m0, m1, m2, sup, nrm;
    135   1.9   isaki 	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   1.8   perry 		__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   1.8   perry 		__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   1.9   isaki fpu_newnan(struct fpemu *fe)
    201   1.1  briggs {
    202   1.9   isaki 	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