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authorTheo de Raadt <deraadt@cvs.openbsd.org>1995-10-18 08:53:40 +0000
committerTheo de Raadt <deraadt@cvs.openbsd.org>1995-10-18 08:53:40 +0000
commitd6583bb2a13f329cf0332ef2570eb8bb8fc0e39c (patch)
treeece253b876159b39c620e62b6c9b1174642e070e /sys/arch/sparc/fpu/fpu_implode.c
initial import of NetBSD tree
Diffstat (limited to 'sys/arch/sparc/fpu/fpu_implode.c')
-rw-r--r--sys/arch/sparc/fpu/fpu_implode.c475
1 files changed, 475 insertions, 0 deletions
diff --git a/sys/arch/sparc/fpu/fpu_implode.c b/sys/arch/sparc/fpu/fpu_implode.c
new file mode 100644
index 00000000000..492b308f89a
--- /dev/null
+++ b/sys/arch/sparc/fpu/fpu_implode.c
@@ -0,0 +1,475 @@
+/* $NetBSD: fpu_implode.c,v 1.2 1994/11/20 20:52:42 deraadt Exp $ */
+
+/*
+ * Copyright (c) 1992, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * This software was developed by the Computer Systems Engineering group
+ * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
+ * contributed to Berkeley.
+ *
+ * All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Lawrence Berkeley Laboratory.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * @(#)fpu_implode.c 8.1 (Berkeley) 6/11/93
+ */
+
+/*
+ * FPU subroutines: `implode' internal format numbers into the machine's
+ * `packed binary' format.
+ */
+
+#include <sys/types.h>
+
+#include <machine/ieee.h>
+#include <machine/instr.h>
+#include <machine/reg.h>
+
+#include <sparc/fpu/fpu_arith.h>
+#include <sparc/fpu/fpu_emu.h>
+
+/*
+ * Round a number (algorithm from Motorola MC68882 manual, modified for
+ * our internal format). Set inexact exception if rounding is required.
+ * Return true iff we rounded up.
+ *
+ * After rounding, we discard the guard and round bits by shifting right
+ * 2 bits (a la fpu_shr(), but we do not bother with fp->fp_sticky).
+ * This saves effort later.
+ *
+ * Note that we may leave the value 2.0 in fp->fp_mant; it is the caller's
+ * responsibility to fix this if necessary.
+ */
+static int
+round(register struct fpemu *fe, register struct fpn *fp)
+{
+ register u_int m0, m1, m2, m3;
+ register int gr, s, ret;
+
+ m0 = fp->fp_mant[0];
+ m1 = fp->fp_mant[1];
+ m2 = fp->fp_mant[2];
+ m3 = fp->fp_mant[3];
+ gr = m3 & 3;
+ s = fp->fp_sticky;
+
+ /* mant >>= FP_NG */
+ m3 = (m3 >> FP_NG) | (m2 << (32 - FP_NG));
+ m2 = (m2 >> FP_NG) | (m1 << (32 - FP_NG));
+ m1 = (m1 >> FP_NG) | (m0 << (32 - FP_NG));
+ m0 >>= FP_NG;
+
+ if ((gr | s) == 0) /* result is exact: no rounding needed */
+ goto rounddown;
+
+ fe->fe_cx |= FSR_NX; /* inexact */
+
+ /* Go to rounddown to round down; break to round up. */
+ switch ((fe->fe_fsr >> FSR_RD_SHIFT) & FSR_RD_MASK) {
+
+ case FSR_RD_RN:
+ default:
+ /*
+ * Round only if guard is set (gr & 2). If guard is set,
+ * but round & sticky both clear, then we want to round
+ * but have a tie, so round to even, i.e., add 1 iff odd.
+ */
+ if ((gr & 2) == 0)
+ goto rounddown;
+ if ((gr & 1) || fp->fp_sticky || (m3 & 1))
+ break;
+ goto rounddown;
+
+ case FSR_RD_RZ:
+ /* Round towards zero, i.e., down. */
+ goto rounddown;
+
+ case FSR_RD_RM:
+ /* Round towards -Inf: up if negative, down if positive. */
+ if (fp->fp_sign)
+ break;
+ goto rounddown;
+
+ case FSR_RD_RP:
+ /* Round towards +Inf: up if positive, down otherwise. */
+ if (!fp->fp_sign)
+ break;
+ goto rounddown;
+ }
+
+ /* Bump low bit of mantissa, with carry. */
+#ifdef sparc /* ``cheating'' (left out FPU_DECL_CARRY; know this is faster) */
+ FPU_ADDS(m3, m3, 1);
+ FPU_ADDCS(m2, m2, 0);
+ FPU_ADDCS(m1, m1, 0);
+ FPU_ADDC(m0, m0, 0);
+#else
+ if (++m3 == 0 && ++m2 == 0 && ++m1 == 0)
+ m0++;
+#endif
+ fp->fp_mant[0] = m0;
+ fp->fp_mant[1] = m1;
+ fp->fp_mant[2] = m2;
+ fp->fp_mant[3] = m3;
+ return (1);
+
+rounddown:
+ fp->fp_mant[0] = m0;
+ fp->fp_mant[1] = m1;
+ fp->fp_mant[2] = m2;
+ fp->fp_mant[3] = m3;
+ return (0);
+}
+
+/*
+ * For overflow: return true if overflow is to go to +/-Inf, according
+ * to the sign of the overflowing result. If false, overflow is to go
+ * to the largest magnitude value instead.
+ */
+static int
+toinf(struct fpemu *fe, int sign)
+{
+ int inf;
+
+ /* look at rounding direction */
+ switch ((fe->fe_fsr >> FSR_RD_SHIFT) & FSR_RD_MASK) {
+
+ default:
+ case FSR_RD_RN: /* the nearest value is always Inf */
+ inf = 1;
+ break;
+
+ case FSR_RD_RZ: /* toward 0 => never towards Inf */
+ inf = 0;
+ break;
+
+ case FSR_RD_RP: /* toward +Inf iff positive */
+ inf = sign == 0;
+ break;
+
+ case FSR_RD_RM: /* toward -Inf iff negative */
+ inf = sign;
+ break;
+ }
+ return (inf);
+}
+
+/*
+ * fpn -> int (int value returned as return value).
+ *
+ * N.B.: this conversion always rounds towards zero (this is a peculiarity
+ * of the SPARC instruction set).
+ */
+u_int
+fpu_ftoi(fe, fp)
+ struct fpemu *fe;
+ register struct fpn *fp;
+{
+ register u_int i;
+ register int sign, exp;
+
+ sign = fp->fp_sign;
+ switch (fp->fp_class) {
+
+ case FPC_ZERO:
+ return (0);
+
+ case FPC_NUM:
+ /*
+ * If exp >= 2^32, overflow. Otherwise shift value right
+ * into last mantissa word (this will not exceed 0xffffffff),
+ * shifting any guard and round bits out into the sticky
+ * bit. Then ``round'' towards zero, i.e., just set an
+ * inexact exception if sticky is set (see round()).
+ * If the result is > 0x80000000, or is positive and equals
+ * 0x80000000, overflow; otherwise the last fraction word
+ * is the result.
+ */
+ if ((exp = fp->fp_exp) >= 32)
+ break;
+ /* NB: the following includes exp < 0 cases */
+ if (fpu_shr(fp, FP_NMANT - 1 - exp) != 0)
+ fe->fe_cx |= FSR_NX;
+ i = fp->fp_mant[3];
+ if (i >= ((u_int)0x80000000 + sign))
+ break;
+ return (sign ? -i : i);
+
+ default: /* Inf, qNaN, sNaN */
+ break;
+ }
+ /* overflow: replace any inexact exception with invalid */
+ fe->fe_cx = (fe->fe_cx & ~FSR_NX) | FSR_NV;
+ return (0x7fffffff + sign);
+}
+
+/*
+ * fpn -> single (32 bit single returned as return value).
+ * We assume <= 29 bits in a single-precision fraction (1.f part).
+ */
+u_int
+fpu_ftos(fe, fp)
+ struct fpemu *fe;
+ register struct fpn *fp;
+{
+ register u_int sign = fp->fp_sign << 31;
+ register int exp;
+
+#define SNG_EXP(e) ((e) << SNG_FRACBITS) /* makes e an exponent */
+#define SNG_MASK (SNG_EXP(1) - 1) /* mask for fraction */
+
+ /* Take care of non-numbers first. */
+ if (ISNAN(fp)) {
+ /*
+ * Preserve upper bits of NaN, per SPARC V8 appendix N.
+ * Note that fp->fp_mant[0] has the quiet bit set,
+ * even if it is classified as a signalling NaN.
+ */
+ (void) fpu_shr(fp, FP_NMANT - 1 - SNG_FRACBITS);
+ exp = SNG_EXP_INFNAN;
+ goto done;
+ }
+ if (ISINF(fp))
+ return (sign | SNG_EXP(SNG_EXP_INFNAN));
+ if (ISZERO(fp))
+ return (sign);
+
+ /*
+ * Normals (including subnormals). Drop all the fraction bits
+ * (including the explicit ``implied'' 1 bit) down into the
+ * single-precision range. If the number is subnormal, move
+ * the ``implied'' 1 into the explicit range as well, and shift
+ * right to introduce leading zeroes. Rounding then acts
+ * differently for normals and subnormals: the largest subnormal
+ * may round to the smallest normal (1.0 x 2^minexp), or may
+ * remain subnormal. In the latter case, signal an underflow
+ * if the result was inexact or if underflow traps are enabled.
+ *
+ * Rounding a normal, on the other hand, always produces another
+ * normal (although either way the result might be too big for
+ * single precision, and cause an overflow). If rounding a
+ * normal produces 2.0 in the fraction, we need not adjust that
+ * fraction at all, since both 1.0 and 2.0 are zero under the
+ * fraction mask.
+ *
+ * Note that the guard and round bits vanish from the number after
+ * rounding.
+ */
+ if ((exp = fp->fp_exp + SNG_EXP_BIAS) <= 0) { /* subnormal */
+ /* -NG for g,r; -SNG_FRACBITS-exp for fraction */
+ (void) fpu_shr(fp, FP_NMANT - FP_NG - SNG_FRACBITS - exp);
+ if (round(fe, fp) && fp->fp_mant[3] == SNG_EXP(1))
+ return (sign | SNG_EXP(1) | 0);
+ if ((fe->fe_cx & FSR_NX) ||
+ (fe->fe_fsr & (FSR_UF << FSR_TEM_SHIFT)))
+ fe->fe_cx |= FSR_UF;
+ return (sign | SNG_EXP(0) | fp->fp_mant[3]);
+ }
+ /* -FP_NG for g,r; -1 for implied 1; -SNG_FRACBITS for fraction */
+ (void) fpu_shr(fp, FP_NMANT - FP_NG - 1 - SNG_FRACBITS);
+#ifdef DIAGNOSTIC
+ if ((fp->fp_mant[3] & SNG_EXP(1 << FP_NG)) == 0)
+ panic("fpu_ftos");
+#endif
+ if (round(fe, fp) && fp->fp_mant[3] == SNG_EXP(2))
+ exp++;
+ if (exp >= SNG_EXP_INFNAN) {
+ /* overflow to inf or to max single */
+ fe->fe_cx |= FSR_OF | FSR_NX;
+ if (toinf(fe, sign))
+ return (sign | SNG_EXP(SNG_EXP_INFNAN));
+ return (sign | SNG_EXP(SNG_EXP_INFNAN - 1) | SNG_MASK);
+ }
+done:
+ /* phew, made it */
+ return (sign | SNG_EXP(exp) | (fp->fp_mant[3] & SNG_MASK));
+}
+
+/*
+ * fpn -> double (32 bit high-order result returned; 32-bit low order result
+ * left in res[1]). Assumes <= 61 bits in double precision fraction.
+ *
+ * This code mimics fpu_ftos; see it for comments.
+ */
+u_int
+fpu_ftod(fe, fp, res)
+ struct fpemu *fe;
+ register struct fpn *fp;
+ u_int *res;
+{
+ register u_int sign = fp->fp_sign << 31;
+ register int exp;
+
+#define DBL_EXP(e) ((e) << (DBL_FRACBITS & 31))
+#define DBL_MASK (DBL_EXP(1) - 1)
+
+ if (ISNAN(fp)) {
+ (void) fpu_shr(fp, FP_NMANT - 1 - DBL_FRACBITS);
+ exp = DBL_EXP_INFNAN;
+ goto done;
+ }
+ if (ISINF(fp)) {
+ sign |= DBL_EXP(DBL_EXP_INFNAN);
+ goto zero;
+ }
+ if (ISZERO(fp)) {
+zero: res[1] = 0;
+ return (sign);
+ }
+
+ if ((exp = fp->fp_exp + DBL_EXP_BIAS) <= 0) {
+ (void) fpu_shr(fp, FP_NMANT - FP_NG - DBL_FRACBITS - exp);
+ if (round(fe, fp) && fp->fp_mant[2] == DBL_EXP(1)) {
+ res[1] = 0;
+ return (sign | DBL_EXP(1) | 0);
+ }
+ if ((fe->fe_cx & FSR_NX) ||
+ (fe->fe_fsr & (FSR_UF << FSR_TEM_SHIFT)))
+ fe->fe_cx |= FSR_UF;
+ exp = 0;
+ goto done;
+ }
+ (void) fpu_shr(fp, FP_NMANT - FP_NG - 1 - DBL_FRACBITS);
+ if (round(fe, fp) && fp->fp_mant[2] == DBL_EXP(2))
+ exp++;
+ if (exp >= DBL_EXP_INFNAN) {
+ fe->fe_cx |= FSR_OF | FSR_NX;
+ if (toinf(fe, sign)) {
+ res[1] = 0;
+ return (sign | DBL_EXP(DBL_EXP_INFNAN) | 0);
+ }
+ res[1] = ~0;
+ return (sign | DBL_EXP(DBL_EXP_INFNAN) | DBL_MASK);
+ }
+done:
+ res[1] = fp->fp_mant[3];
+ return (sign | DBL_EXP(exp) | (fp->fp_mant[2] & DBL_MASK));
+}
+
+/*
+ * fpn -> extended (32 bit high-order result returned; low-order fraction
+ * words left in res[1]..res[3]). Like ftod, which is like ftos ... but
+ * our internal format *is* extended precision, plus 2 bits for guard/round,
+ * so we can avoid a small bit of work.
+ */
+u_int
+fpu_ftox(fe, fp, res)
+ struct fpemu *fe;
+ register struct fpn *fp;
+ u_int *res;
+{
+ register u_int sign = fp->fp_sign << 31;
+ register int exp;
+
+#define EXT_EXP(e) ((e) << (EXT_FRACBITS & 31))
+#define EXT_MASK (EXT_EXP(1) - 1)
+
+ if (ISNAN(fp)) {
+ (void) fpu_shr(fp, 2); /* since we are not rounding */
+ exp = EXT_EXP_INFNAN;
+ goto done;
+ }
+ if (ISINF(fp)) {
+ sign |= EXT_EXP(EXT_EXP_INFNAN);
+ goto zero;
+ }
+ if (ISZERO(fp)) {
+zero: res[1] = res[2] = res[3] = 0;
+ return (sign);
+ }
+
+ if ((exp = fp->fp_exp + EXT_EXP_BIAS) <= 0) {
+ (void) fpu_shr(fp, FP_NMANT - FP_NG - EXT_FRACBITS - exp);
+ if (round(fe, fp) && fp->fp_mant[0] == EXT_EXP(1)) {
+ res[1] = res[2] = res[3] = 0;
+ return (sign | EXT_EXP(1) | 0);
+ }
+ if ((fe->fe_cx & FSR_NX) ||
+ (fe->fe_fsr & (FSR_UF << FSR_TEM_SHIFT)))
+ fe->fe_cx |= FSR_UF;
+ exp = 0;
+ goto done;
+ }
+ /* Since internal == extended, no need to shift here. */
+ if (round(fe, fp) && fp->fp_mant[0] == EXT_EXP(2))
+ exp++;
+ if (exp >= EXT_EXP_INFNAN) {
+ fe->fe_cx |= FSR_OF | FSR_NX;
+ if (toinf(fe, sign)) {
+ res[1] = res[2] = res[3] = 0;
+ return (sign | EXT_EXP(EXT_EXP_INFNAN) | 0);
+ }
+ res[1] = res[2] = res[3] = ~0;
+ return (sign | EXT_EXP(EXT_EXP_INFNAN) | EXT_MASK);
+ }
+done:
+ res[1] = fp->fp_mant[1];
+ res[2] = fp->fp_mant[2];
+ res[3] = fp->fp_mant[3];
+ return (sign | EXT_EXP(exp) | (fp->fp_mant[0] & EXT_MASK));
+}
+
+/*
+ * Implode an fpn, writing the result into the given space.
+ */
+void
+fpu_implode(fe, fp, type, space)
+ struct fpemu *fe;
+ register struct fpn *fp;
+ int type;
+ register u_int *space;
+{
+
+ switch (type) {
+
+ case FTYPE_INT:
+ space[0] = fpu_ftoi(fe, fp);
+ break;
+
+ case FTYPE_SNG:
+ space[0] = fpu_ftos(fe, fp);
+ break;
+
+ case FTYPE_DBL:
+ space[0] = fpu_ftod(fe, fp, space);
+ break;
+
+ case FTYPE_EXT:
+ /* funky rounding precision options ?? */
+ space[0] = fpu_ftox(fe, fp, space);
+ break;
+
+ default:
+ panic("fpu_implode");
+ }
+}