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fpu_subr.c revision 1.1.24.1
      1  1.1.24.1   skrll /*	$NetBSD: fpu_subr.c,v 1.1.24.1 2004/08/03 10:39:22 skrll Exp $ */
      2       1.1  simonb 
      3       1.1  simonb /*
      4       1.1  simonb  * Copyright (c) 1992, 1993
      5       1.1  simonb  *	The Regents of the University of California.  All rights reserved.
      6       1.1  simonb  *
      7       1.1  simonb  * This software was developed by the Computer Systems Engineering group
      8       1.1  simonb  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
      9       1.1  simonb  * contributed to Berkeley.
     10       1.1  simonb  *
     11       1.1  simonb  * All advertising materials mentioning features or use of this software
     12       1.1  simonb  * must display the following acknowledgement:
     13       1.1  simonb  *	This product includes software developed by the University of
     14       1.1  simonb  *	California, Lawrence Berkeley Laboratory.
     15       1.1  simonb  *
     16       1.1  simonb  * Redistribution and use in source and binary forms, with or without
     17       1.1  simonb  * modification, are permitted provided that the following conditions
     18       1.1  simonb  * are met:
     19       1.1  simonb  * 1. Redistributions of source code must retain the above copyright
     20       1.1  simonb  *    notice, this list of conditions and the following disclaimer.
     21       1.1  simonb  * 2. Redistributions in binary form must reproduce the above copyright
     22       1.1  simonb  *    notice, this list of conditions and the following disclaimer in the
     23       1.1  simonb  *    documentation and/or other materials provided with the distribution.
     24  1.1.24.1   skrll  * 3. Neither the name of the University nor the names of its contributors
     25       1.1  simonb  *    may be used to endorse or promote products derived from this software
     26       1.1  simonb  *    without specific prior written permission.
     27       1.1  simonb  *
     28       1.1  simonb  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     29       1.1  simonb  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     30       1.1  simonb  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     31       1.1  simonb  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     32       1.1  simonb  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     33       1.1  simonb  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     34       1.1  simonb  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     35       1.1  simonb  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     36       1.1  simonb  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     37       1.1  simonb  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     38       1.1  simonb  * SUCH DAMAGE.
     39       1.1  simonb  *
     40       1.1  simonb  *	@(#)fpu_subr.c	8.1 (Berkeley) 6/11/93
     41       1.1  simonb  */
     42       1.1  simonb 
     43       1.1  simonb /*
     44       1.1  simonb  * FPU subroutines.
     45       1.1  simonb  */
     46       1.1  simonb 
     47  1.1.24.1   skrll #include <sys/cdefs.h>
     48  1.1.24.1   skrll __KERNEL_RCSID(0, "$NetBSD: fpu_subr.c,v 1.1.24.1 2004/08/03 10:39:22 skrll Exp $");
     49  1.1.24.1   skrll 
     50       1.1  simonb #include <sys/types.h>
     51       1.1  simonb #if defined(DIAGNOSTIC)||defined(DEBUG)
     52       1.1  simonb #include <sys/systm.h>
     53       1.1  simonb #endif
     54       1.1  simonb 
     55       1.1  simonb #include <machine/reg.h>
     56       1.1  simonb #include <powerpc/instr.h>
     57       1.1  simonb #include <machine/fpu.h>
     58       1.1  simonb 
     59       1.1  simonb #include <powerpc/fpu/fpu_arith.h>
     60       1.1  simonb #include <powerpc/fpu/fpu_emu.h>
     61       1.1  simonb #include <powerpc/fpu/fpu_extern.h>
     62       1.1  simonb 
     63       1.1  simonb /*
     64       1.1  simonb  * Shift the given number right rsh bits.  Any bits that `fall off' will get
     65       1.1  simonb  * shoved into the sticky field; we return the resulting sticky.  Note that
     66       1.1  simonb  * shifting NaNs is legal (this will never shift all bits out); a NaN's
     67       1.1  simonb  * sticky field is ignored anyway.
     68       1.1  simonb  */
     69       1.1  simonb int
     70       1.1  simonb fpu_shr(struct fpn *fp, int rsh)
     71       1.1  simonb {
     72       1.1  simonb 	u_int m0, m1, m2, m3, s;
     73       1.1  simonb 	int lsh;
     74       1.1  simonb 
     75       1.1  simonb #ifdef DIAGNOSTIC
     76       1.1  simonb 	if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
     77       1.1  simonb 		panic("fpu_rightshift 1");
     78       1.1  simonb #endif
     79       1.1  simonb 
     80       1.1  simonb 	m0 = fp->fp_mant[0];
     81       1.1  simonb 	m1 = fp->fp_mant[1];
     82       1.1  simonb 	m2 = fp->fp_mant[2];
     83       1.1  simonb 	m3 = fp->fp_mant[3];
     84       1.1  simonb 
     85       1.1  simonb 	/* If shifting all the bits out, take a shortcut. */
     86       1.1  simonb 	if (rsh >= FP_NMANT) {
     87       1.1  simonb #ifdef DIAGNOSTIC
     88       1.1  simonb 		if ((m0 | m1 | m2 | m3) == 0)
     89       1.1  simonb 			panic("fpu_rightshift 2");
     90       1.1  simonb #endif
     91       1.1  simonb 		fp->fp_mant[0] = 0;
     92       1.1  simonb 		fp->fp_mant[1] = 0;
     93       1.1  simonb 		fp->fp_mant[2] = 0;
     94       1.1  simonb 		fp->fp_mant[3] = 0;
     95       1.1  simonb #ifdef notdef
     96       1.1  simonb 		if ((m0 | m1 | m2 | m3) == 0)
     97       1.1  simonb 			fp->fp_class = FPC_ZERO;
     98       1.1  simonb 		else
     99       1.1  simonb #endif
    100       1.1  simonb 			fp->fp_sticky = 1;
    101       1.1  simonb 		return (1);
    102       1.1  simonb 	}
    103       1.1  simonb 
    104       1.1  simonb 	/* Squish out full words. */
    105       1.1  simonb 	s = fp->fp_sticky;
    106       1.1  simonb 	if (rsh >= 32 * 3) {
    107       1.1  simonb 		s |= m3 | m2 | m1;
    108       1.1  simonb 		m3 = m0, m2 = 0, m1 = 0, m0 = 0;
    109       1.1  simonb 	} else if (rsh >= 32 * 2) {
    110       1.1  simonb 		s |= m3 | m2;
    111       1.1  simonb 		m3 = m1, m2 = m0, m1 = 0, m0 = 0;
    112       1.1  simonb 	} else if (rsh >= 32) {
    113       1.1  simonb 		s |= m3;
    114       1.1  simonb 		m3 = m2, m2 = m1, m1 = m0, m0 = 0;
    115       1.1  simonb 	}
    116       1.1  simonb 
    117       1.1  simonb 	/* Handle any remaining partial word. */
    118       1.1  simonb 	if ((rsh &= 31) != 0) {
    119       1.1  simonb 		lsh = 32 - rsh;
    120       1.1  simonb 		s |= m3 << lsh;
    121       1.1  simonb 		m3 = (m3 >> rsh) | (m2 << lsh);
    122       1.1  simonb 		m2 = (m2 >> rsh) | (m1 << lsh);
    123       1.1  simonb 		m1 = (m1 >> rsh) | (m0 << lsh);
    124       1.1  simonb 		m0 >>= rsh;
    125       1.1  simonb 	}
    126       1.1  simonb 	fp->fp_mant[0] = m0;
    127       1.1  simonb 	fp->fp_mant[1] = m1;
    128       1.1  simonb 	fp->fp_mant[2] = m2;
    129       1.1  simonb 	fp->fp_mant[3] = m3;
    130       1.1  simonb 	fp->fp_sticky = s;
    131       1.1  simonb 	return (s);
    132       1.1  simonb }
    133       1.1  simonb 
    134       1.1  simonb /*
    135       1.1  simonb  * Force a number to be normal, i.e., make its fraction have all zero
    136       1.1  simonb  * bits before FP_1, then FP_1, then all 1 bits.  This is used for denorms
    137       1.1  simonb  * and (sometimes) for intermediate results.
    138       1.1  simonb  *
    139       1.1  simonb  * Internally, this may use a `supernormal' -- a number whose fp_mant
    140       1.1  simonb  * is greater than or equal to 2.0 -- so as a side effect you can hand it
    141       1.1  simonb  * a supernormal and it will fix it (provided fp->fp_mant[3] == 0).
    142       1.1  simonb  */
    143       1.1  simonb void
    144       1.1  simonb fpu_norm(struct fpn *fp)
    145       1.1  simonb {
    146       1.1  simonb 	u_int m0, m1, m2, m3, top, sup, nrm;
    147       1.1  simonb 	int lsh, rsh, exp;
    148       1.1  simonb 
    149       1.1  simonb 	exp = fp->fp_exp;
    150       1.1  simonb 	m0 = fp->fp_mant[0];
    151       1.1  simonb 	m1 = fp->fp_mant[1];
    152       1.1  simonb 	m2 = fp->fp_mant[2];
    153       1.1  simonb 	m3 = fp->fp_mant[3];
    154       1.1  simonb 
    155       1.1  simonb 	/* Handle severe subnormals with 32-bit moves. */
    156       1.1  simonb 	if (m0 == 0) {
    157       1.1  simonb 		if (m1)
    158       1.1  simonb 			m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32;
    159       1.1  simonb 		else if (m2)
    160       1.1  simonb 			m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32;
    161       1.1  simonb 		else if (m3)
    162       1.1  simonb 			m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32;
    163       1.1  simonb 		else {
    164       1.1  simonb 			fp->fp_class = FPC_ZERO;
    165       1.1  simonb 			return;
    166       1.1  simonb 		}
    167       1.1  simonb 	}
    168       1.1  simonb 
    169       1.1  simonb 	/* Now fix any supernormal or remaining subnormal. */
    170       1.1  simonb 	nrm = FP_1;
    171       1.1  simonb 	sup = nrm << 1;
    172       1.1  simonb 	if (m0 >= sup) {
    173       1.1  simonb 		/*
    174       1.1  simonb 		 * We have a supernormal number.  We need to shift it right.
    175       1.1  simonb 		 * We may assume m3==0.
    176       1.1  simonb 		 */
    177       1.1  simonb 		for (rsh = 1, top = m0 >> 1; top >= sup; rsh++)	/* XXX slow */
    178       1.1  simonb 			top >>= 1;
    179       1.1  simonb 		exp += rsh;
    180       1.1  simonb 		lsh = 32 - rsh;
    181       1.1  simonb 		m3 = m2 << lsh;
    182       1.1  simonb 		m2 = (m2 >> rsh) | (m1 << lsh);
    183       1.1  simonb 		m1 = (m1 >> rsh) | (m0 << lsh);
    184       1.1  simonb 		m0 = top;
    185       1.1  simonb 	} else if (m0 < nrm) {
    186       1.1  simonb 		/*
    187       1.1  simonb 		 * We have a regular denorm (a subnormal number), and need
    188       1.1  simonb 		 * to shift it left.
    189       1.1  simonb 		 */
    190       1.1  simonb 		for (lsh = 1, top = m0 << 1; top < nrm; lsh++)	/* XXX slow */
    191       1.1  simonb 			top <<= 1;
    192       1.1  simonb 		exp -= lsh;
    193       1.1  simonb 		rsh = 32 - lsh;
    194       1.1  simonb 		m0 = top | (m1 >> rsh);
    195       1.1  simonb 		m1 = (m1 << lsh) | (m2 >> rsh);
    196       1.1  simonb 		m2 = (m2 << lsh) | (m3 >> rsh);
    197       1.1  simonb 		m3 <<= lsh;
    198       1.1  simonb 	}
    199       1.1  simonb 
    200       1.1  simonb 	fp->fp_exp = exp;
    201       1.1  simonb 	fp->fp_mant[0] = m0;
    202       1.1  simonb 	fp->fp_mant[1] = m1;
    203       1.1  simonb 	fp->fp_mant[2] = m2;
    204       1.1  simonb 	fp->fp_mant[3] = m3;
    205       1.1  simonb }
    206       1.1  simonb 
    207       1.1  simonb /*
    208       1.1  simonb  * Concoct a `fresh' Quiet NaN per Appendix N.
    209       1.1  simonb  * As a side effect, we set NV (invalid) for the current exceptions.
    210       1.1  simonb  */
    211       1.1  simonb struct fpn *
    212       1.1  simonb fpu_newnan(struct fpemu *fe)
    213       1.1  simonb {
    214       1.1  simonb 	struct fpn *fp;
    215       1.1  simonb 
    216       1.1  simonb 	fe->fe_cx |= FPSCR_VXSNAN;
    217       1.1  simonb 	fp = &fe->fe_f3;
    218       1.1  simonb 	fp->fp_class = FPC_QNAN;
    219       1.1  simonb 	fp->fp_sign = 0;
    220       1.1  simonb 	fp->fp_mant[0] = FP_1 - 1;
    221       1.1  simonb 	fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0;
    222       1.1  simonb 	DUMPFPN(FPE_REG, fp);
    223       1.1  simonb 	return (fp);
    224       1.1  simonb }
    225