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fpu_explode.c revision 1.2
      1 /*	$NetBSD: fpu_explode.c,v 1.2 1994/11/20 20:52:41 deraadt 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_explode.c	8.1 (Berkeley) 6/11/93
     45  */
     46 
     47 /*
     48  * FPU subroutines: `explode' the machine's `packed binary' format numbers
     49  * into our internal format.
     50  */
     51 
     52 #include <sys/types.h>
     53 
     54 #include <machine/ieee.h>
     55 #include <machine/instr.h>
     56 #include <machine/reg.h>
     57 
     58 #include <sparc/fpu/fpu_arith.h>
     59 #include <sparc/fpu/fpu_emu.h>
     60 
     61 /*
     62  * N.B.: in all of the following, we assume the FP format is
     63  *
     64  *	---------------------------
     65  *	| s | exponent | fraction |
     66  *	---------------------------
     67  *
     68  * (which represents -1**s * 1.fraction * 2**exponent), so that the
     69  * sign bit is way at the top (bit 31), the exponent is next, and
     70  * then the remaining bits mark the fraction.  A zero exponent means
     71  * zero or denormalized (0.fraction rather than 1.fraction), and the
     72  * maximum possible exponent, 2bias+1, signals inf (fraction==0) or NaN.
     73  *
     74  * Since the sign bit is always the topmost bit---this holds even for
     75  * integers---we set that outside all the *tof functions.  Each function
     76  * returns the class code for the new number (but note that we use
     77  * FPC_QNAN for all NaNs; fpu_explode will fix this if appropriate).
     78  */
     79 
     80 /*
     81  * int -> fpn.
     82  */
     83 int
     84 fpu_itof(fp, i)
     85 	register struct fpn *fp;
     86 	register u_int i;
     87 {
     88 
     89 	if (i == 0)
     90 		return (FPC_ZERO);
     91 	/*
     92 	 * The value FP_1 represents 2^FP_LG, so set the exponent
     93 	 * there and let normalization fix it up.  Convert negative
     94 	 * numbers to sign-and-magnitude.  Note that this relies on
     95 	 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c.
     96 	 */
     97 	fp->fp_exp = FP_LG;
     98 	fp->fp_mant[0] = (int)i < 0 ? -i : i;
     99 	fp->fp_mant[1] = 0;
    100 	fp->fp_mant[2] = 0;
    101 	fp->fp_mant[3] = 0;
    102 	fpu_norm(fp);
    103 	return (FPC_NUM);
    104 }
    105 
    106 #define	mask(nbits) ((1 << (nbits)) - 1)
    107 
    108 /*
    109  * All external floating formats convert to internal in the same manner,
    110  * as defined here.  Note that only normals get an implied 1.0 inserted.
    111  */
    112 #define	FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \
    113 	if (exp == 0) { \
    114 		if (allfrac == 0) \
    115 			return (FPC_ZERO); \
    116 		fp->fp_exp = 1 - expbias; \
    117 		fp->fp_mant[0] = f0; \
    118 		fp->fp_mant[1] = f1; \
    119 		fp->fp_mant[2] = f2; \
    120 		fp->fp_mant[3] = f3; \
    121 		fpu_norm(fp); \
    122 		return (FPC_NUM); \
    123 	} \
    124 	if (exp == (2 * expbias + 1)) { \
    125 		if (allfrac == 0) \
    126 			return (FPC_INF); \
    127 		fp->fp_mant[0] = f0; \
    128 		fp->fp_mant[1] = f1; \
    129 		fp->fp_mant[2] = f2; \
    130 		fp->fp_mant[3] = f3; \
    131 		return (FPC_QNAN); \
    132 	} \
    133 	fp->fp_exp = exp - expbias; \
    134 	fp->fp_mant[0] = FP_1 | f0; \
    135 	fp->fp_mant[1] = f1; \
    136 	fp->fp_mant[2] = f2; \
    137 	fp->fp_mant[3] = f3; \
    138 	return (FPC_NUM)
    139 
    140 /*
    141  * 32-bit single precision -> fpn.
    142  * We assume a single occupies at most (64-FP_LG) bits in the internal
    143  * format: i.e., needs at most fp_mant[0] and fp_mant[1].
    144  */
    145 int
    146 fpu_stof(fp, i)
    147 	register struct fpn *fp;
    148 	register u_int i;
    149 {
    150 	register int exp;
    151 	register u_int frac, f0, f1;
    152 #define SNG_SHIFT (SNG_FRACBITS - FP_LG)
    153 
    154 	exp = (i >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS);
    155 	frac = i & mask(SNG_FRACBITS);
    156 	f0 = frac >> SNG_SHIFT;
    157 	f1 = frac << (32 - SNG_SHIFT);
    158 	FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0);
    159 }
    160 
    161 /*
    162  * 64-bit double -> fpn.
    163  * We assume this uses at most (96-FP_LG) bits.
    164  */
    165 int
    166 fpu_dtof(fp, i, j)
    167 	register struct fpn *fp;
    168 	register u_int i, j;
    169 {
    170 	register int exp;
    171 	register u_int frac, f0, f1, f2;
    172 #define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG)
    173 
    174 	exp = (i >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS);
    175 	frac = i & mask(DBL_FRACBITS - 32);
    176 	f0 = frac >> DBL_SHIFT;
    177 	f1 = (frac << (32 - DBL_SHIFT)) | (j >> DBL_SHIFT);
    178 	f2 = j << (32 - DBL_SHIFT);
    179 	frac |= j;
    180 	FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0);
    181 }
    182 
    183 /*
    184  * 128-bit extended -> fpn.
    185  */
    186 int
    187 fpu_xtof(fp, i, j, k, l)
    188 	register struct fpn *fp;
    189 	register u_int i, j, k, l;
    190 {
    191 	register int exp;
    192 	register u_int frac, f0, f1, f2, f3;
    193 #define EXT_SHIFT (-(EXT_FRACBITS - 3 * 32 - FP_LG))	/* left shift! */
    194 
    195 	/*
    196 	 * Note that ext and fpn `line up', hence no shifting needed.
    197 	 */
    198 	exp = (i >> (32 - 1 - EXT_EXPBITS)) & mask(EXT_EXPBITS);
    199 	frac = i & mask(EXT_FRACBITS - 3 * 32);
    200 	f0 = (frac << EXT_SHIFT) | (j >> (32 - EXT_SHIFT));
    201 	f1 = (j << EXT_SHIFT) | (k >> (32 - EXT_SHIFT));
    202 	f2 = (k << EXT_SHIFT) | (l >> (32 - EXT_SHIFT));
    203 	f3 = l << EXT_SHIFT;
    204 	frac |= j | k | l;
    205 	FP_TOF(exp, EXT_EXP_BIAS, frac, f0, f1, f2, f3);
    206 }
    207 
    208 /*
    209  * Explode the contents of a register / regpair / regquad.
    210  * If the input is a signalling NaN, an NV (invalid) exception
    211  * will be set.  (Note that nothing but NV can occur until ALU
    212  * operations are performed.)
    213  */
    214 void
    215 fpu_explode(fe, fp, type, reg)
    216 	register struct fpemu *fe;
    217 	register struct fpn *fp;
    218 	int type, reg;
    219 {
    220 	register u_int s, *space;
    221 
    222 	space = &fe->fe_fpstate->fs_regs[reg];
    223 	s = space[0];
    224 	fp->fp_sign = s >> 31;
    225 	fp->fp_sticky = 0;
    226 	switch (type) {
    227 
    228 	case FTYPE_INT:
    229 		s = fpu_itof(fp, s);
    230 		break;
    231 
    232 	case FTYPE_SNG:
    233 		s = fpu_stof(fp, s);
    234 		break;
    235 
    236 	case FTYPE_DBL:
    237 		s = fpu_dtof(fp, s, space[1]);
    238 		break;
    239 
    240 	case FTYPE_EXT:
    241 		s = fpu_xtof(fp, s, space[1], space[2], space[3]);
    242 		break;
    243 
    244 	default:
    245 		panic("fpu_explode");
    246 	}
    247 	if (s == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) {
    248 		/*
    249 		 * Input is a signalling NaN.  All operations that return
    250 		 * an input NaN operand put it through a ``NaN conversion'',
    251 		 * which basically just means ``turn on the quiet bit''.
    252 		 * We do this here so that all NaNs internally look quiet
    253 		 * (we can tell signalling ones by their class).
    254 		 */
    255 		fp->fp_mant[0] |= FP_QUIETBIT;
    256 		fe->fe_cx = FSR_NV;	/* assert invalid operand */
    257 		s = FPC_SNAN;
    258 	}
    259 	fp->fp_class = s;
    260 }
    261