1*6244ddccSmiod /* $OpenBSD: fpu_subr.c,v 1.5 2024/03/29 21:02:11 miod Exp $ */
202b90beaSjason
302b90beaSjason /*
402b90beaSjason * Copyright (c) 1992, 1993
502b90beaSjason * The Regents of the University of California. All rights reserved.
602b90beaSjason *
702b90beaSjason * This software was developed by the Computer Systems Engineering group
802b90beaSjason * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
902b90beaSjason * contributed to Berkeley.
1002b90beaSjason *
1102b90beaSjason * All advertising materials mentioning features or use of this software
1202b90beaSjason * must display the following acknowledgement:
1302b90beaSjason * This product includes software developed by the University of
1402b90beaSjason * California, Lawrence Berkeley Laboratory.
1502b90beaSjason *
1602b90beaSjason * Redistribution and use in source and binary forms, with or without
1702b90beaSjason * modification, are permitted provided that the following conditions
1802b90beaSjason * are met:
1902b90beaSjason * 1. Redistributions of source code must retain the above copyright
2002b90beaSjason * notice, this list of conditions and the following disclaimer.
2102b90beaSjason * 2. Redistributions in binary form must reproduce the above copyright
2202b90beaSjason * notice, this list of conditions and the following disclaimer in the
2302b90beaSjason * documentation and/or other materials provided with the distribution.
2402b90beaSjason * 3. All advertising materials mentioning features or use of this software
2502b90beaSjason * must display the following acknowledgement:
2602b90beaSjason * This product includes software developed by the University of
2702b90beaSjason * California, Berkeley and its contributors.
2802b90beaSjason * 4. Neither the name of the University nor the names of its contributors
2902b90beaSjason * may be used to endorse or promote products derived from this software
3002b90beaSjason * without specific prior written permission.
3102b90beaSjason *
3202b90beaSjason * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
3302b90beaSjason * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
3402b90beaSjason * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
3502b90beaSjason * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
3602b90beaSjason * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
3702b90beaSjason * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
3802b90beaSjason * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
3902b90beaSjason * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
4002b90beaSjason * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
4102b90beaSjason * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
4202b90beaSjason * SUCH DAMAGE.
4302b90beaSjason *
4402b90beaSjason * @(#)fpu_subr.c 8.1 (Berkeley) 6/11/93
4502b90beaSjason * $NetBSD: fpu_subr.c,v 1.3 1996/03/14 19:42:01 christos Exp $
4602b90beaSjason */
4702b90beaSjason
4802b90beaSjason /*
4902b90beaSjason * FPU subroutines.
5002b90beaSjason */
5102b90beaSjason
5277f9746cSderaadt #include <sys/types.h>
5302b90beaSjason
5402b90beaSjason #include <machine/fsr.h>
5502b90beaSjason #include <machine/instr.h>
5602b90beaSjason
5702b90beaSjason #include "fpu_arith.h"
5802b90beaSjason #include "fpu_emu.h"
5902b90beaSjason #include "fpu_extern.h"
6002b90beaSjason
6102b90beaSjason /*
6202b90beaSjason * Shift the given number right rsh bits. Any bits that `fall off' will get
6302b90beaSjason * shoved into the sticky field; we return the resulting sticky. Note that
6402b90beaSjason * shifting NaNs is legal (this will never shift all bits out); a NaN's
6502b90beaSjason * sticky field is ignored anyway.
6602b90beaSjason */
6702b90beaSjason int
__fpu_shr(struct fpn * fp,int rsh)6802b90beaSjason __fpu_shr(struct fpn *fp, int rsh)
6902b90beaSjason {
7002b90beaSjason u_int m0, m1, m2, m3, s;
7102b90beaSjason int lsh;
7202b90beaSjason
7302b90beaSjason #ifdef DIAGNOSTIC
7402b90beaSjason if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
7502b90beaSjason __utrap_panic("fpu_rightshift 1");
7602b90beaSjason #endif
7702b90beaSjason
7802b90beaSjason m0 = fp->fp_mant[0];
7902b90beaSjason m1 = fp->fp_mant[1];
8002b90beaSjason m2 = fp->fp_mant[2];
8102b90beaSjason m3 = fp->fp_mant[3];
8202b90beaSjason
8302b90beaSjason /* If shifting all the bits out, take a shortcut. */
8402b90beaSjason if (rsh >= FP_NMANT) {
8502b90beaSjason #ifdef DIAGNOSTIC
8602b90beaSjason if ((m0 | m1 | m2 | m3) == 0)
8702b90beaSjason __utrap_panic("fpu_rightshift 2");
8802b90beaSjason #endif
8902b90beaSjason fp->fp_mant[0] = 0;
9002b90beaSjason fp->fp_mant[1] = 0;
9102b90beaSjason fp->fp_mant[2] = 0;
9202b90beaSjason fp->fp_mant[3] = 0;
9302b90beaSjason #ifdef notdef
9402b90beaSjason if ((m0 | m1 | m2 | m3) == 0)
9502b90beaSjason fp->fp_class = FPC_ZERO;
9602b90beaSjason else
9702b90beaSjason #endif
9802b90beaSjason fp->fp_sticky = 1;
9902b90beaSjason return (1);
10002b90beaSjason }
10102b90beaSjason
10202b90beaSjason /* Squish out full words. */
10302b90beaSjason s = fp->fp_sticky;
10402b90beaSjason if (rsh >= 32 * 3) {
10502b90beaSjason s |= m3 | m2 | m1;
10602b90beaSjason m3 = m0, m2 = 0, m1 = 0, m0 = 0;
10702b90beaSjason } else if (rsh >= 32 * 2) {
10802b90beaSjason s |= m3 | m2;
10902b90beaSjason m3 = m1, m2 = m0, m1 = 0, m0 = 0;
11002b90beaSjason } else if (rsh >= 32) {
11102b90beaSjason s |= m3;
11202b90beaSjason m3 = m2, m2 = m1, m1 = m0, m0 = 0;
11302b90beaSjason }
11402b90beaSjason
11502b90beaSjason /* Handle any remaining partial word. */
11602b90beaSjason if ((rsh &= 31) != 0) {
11702b90beaSjason lsh = 32 - rsh;
11802b90beaSjason s |= m3 << lsh;
11902b90beaSjason m3 = (m3 >> rsh) | (m2 << lsh);
12002b90beaSjason m2 = (m2 >> rsh) | (m1 << lsh);
12102b90beaSjason m1 = (m1 >> rsh) | (m0 << lsh);
12202b90beaSjason m0 >>= rsh;
12302b90beaSjason }
12402b90beaSjason fp->fp_mant[0] = m0;
12502b90beaSjason fp->fp_mant[1] = m1;
12602b90beaSjason fp->fp_mant[2] = m2;
12702b90beaSjason fp->fp_mant[3] = m3;
12802b90beaSjason fp->fp_sticky = s;
12902b90beaSjason return (s);
13002b90beaSjason }
13102b90beaSjason
13202b90beaSjason /*
13302b90beaSjason * Force a number to be normal, i.e., make its fraction have all zero
13402b90beaSjason * bits before FP_1, then FP_1, then all 1 bits. This is used for denorms
13502b90beaSjason * and (sometimes) for intermediate results.
13602b90beaSjason *
13702b90beaSjason * Internally, this may use a `supernormal' -- a number whose fp_mant
13802b90beaSjason * is greater than or equal to 2.0 -- so as a side effect you can hand it
13902b90beaSjason * a supernormal and it will fix it (provided fp->fp_mant[3] == 0).
14002b90beaSjason */
14102b90beaSjason void
__fpu_norm(struct fpn * fp)14202b90beaSjason __fpu_norm(struct fpn *fp)
14302b90beaSjason {
14402b90beaSjason u_int m0, m1, m2, m3, top, sup, nrm;
14502b90beaSjason int lsh, rsh, exp;
14602b90beaSjason
14702b90beaSjason exp = fp->fp_exp;
14802b90beaSjason m0 = fp->fp_mant[0];
14902b90beaSjason m1 = fp->fp_mant[1];
15002b90beaSjason m2 = fp->fp_mant[2];
15102b90beaSjason m3 = fp->fp_mant[3];
15202b90beaSjason
15302b90beaSjason /* Handle severe subnormals with 32-bit moves. */
15402b90beaSjason if (m0 == 0) {
15502b90beaSjason if (m1)
15602b90beaSjason m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32;
15702b90beaSjason else if (m2)
15802b90beaSjason m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32;
15902b90beaSjason else if (m3)
16002b90beaSjason m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32;
16102b90beaSjason else {
16202b90beaSjason fp->fp_class = FPC_ZERO;
16302b90beaSjason return;
16402b90beaSjason }
16502b90beaSjason }
16602b90beaSjason
16702b90beaSjason /* Now fix any supernormal or remaining subnormal. */
16802b90beaSjason nrm = FP_1;
16902b90beaSjason sup = nrm << 1;
17002b90beaSjason if (m0 >= sup) {
17102b90beaSjason /*
17202b90beaSjason * We have a supernormal number. We need to shift it right.
17302b90beaSjason * We may assume m3==0.
17402b90beaSjason */
17502b90beaSjason for (rsh = 1, top = m0 >> 1; top >= sup; rsh++) /* XXX slow */
17602b90beaSjason top >>= 1;
17702b90beaSjason exp += rsh;
17802b90beaSjason lsh = 32 - rsh;
17902b90beaSjason m3 = m2 << lsh;
18002b90beaSjason m2 = (m2 >> rsh) | (m1 << lsh);
18102b90beaSjason m1 = (m1 >> rsh) | (m0 << lsh);
18202b90beaSjason m0 = top;
18302b90beaSjason } else if (m0 < nrm) {
18402b90beaSjason /*
18502b90beaSjason * We have a regular denorm (a subnormal number), and need
18602b90beaSjason * to shift it left.
18702b90beaSjason */
18802b90beaSjason for (lsh = 1, top = m0 << 1; top < nrm; lsh++) /* XXX slow */
18902b90beaSjason top <<= 1;
19002b90beaSjason exp -= lsh;
19102b90beaSjason rsh = 32 - lsh;
19202b90beaSjason m0 = top | (m1 >> rsh);
19302b90beaSjason m1 = (m1 << lsh) | (m2 >> rsh);
19402b90beaSjason m2 = (m2 << lsh) | (m3 >> rsh);
19502b90beaSjason m3 <<= lsh;
19602b90beaSjason }
19702b90beaSjason
19802b90beaSjason fp->fp_exp = exp;
19902b90beaSjason fp->fp_mant[0] = m0;
20002b90beaSjason fp->fp_mant[1] = m1;
20102b90beaSjason fp->fp_mant[2] = m2;
20202b90beaSjason fp->fp_mant[3] = m3;
20302b90beaSjason }
20402b90beaSjason
20502b90beaSjason /*
20602b90beaSjason * Concoct a `fresh' Quiet NaN per Appendix N.
20702b90beaSjason * As a side effect, we set NV (invalid) for the current exceptions.
20802b90beaSjason */
20902b90beaSjason struct fpn *
__fpu_newnan(struct fpemu * fe)21002b90beaSjason __fpu_newnan(struct fpemu *fe)
21102b90beaSjason {
21202b90beaSjason struct fpn *fp;
21302b90beaSjason
21402b90beaSjason fe->fe_cx = FSR_NV;
21502b90beaSjason fp = &fe->fe_f3;
21602b90beaSjason fp->fp_class = FPC_QNAN;
21702b90beaSjason fp->fp_sign = 0;
21802b90beaSjason fp->fp_mant[0] = FP_1 - 1;
21902b90beaSjason fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0;
22002b90beaSjason return (fp);
22102b90beaSjason }
222