Resguardo inicial

This commit is contained in:
lastdragon
2026-09-06 12:53:21 -06:00
parent 662efe3c2a
commit ad2088d178
94853 changed files with 43200404 additions and 0 deletions
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# SPDX-License-Identifier: GPL-2.0
#
# Makefile for the Linux/MIPS kernel FPU emulation.
#
obj-y += cp1emu.o ieee754dp.o ieee754sp.o ieee754.o \
dp_div.o dp_mul.o dp_sub.o dp_add.o dp_fsp.o dp_cmp.o dp_simple.o \
dp_tint.o dp_fint.o dp_rint.o dp_maddf.o dp_2008class.o dp_fmin.o \
dp_fmax.o \
sp_div.o sp_mul.o sp_sub.o sp_add.o sp_fdp.o sp_cmp.o sp_simple.o \
sp_tint.o sp_fint.o sp_rint.o sp_maddf.o sp_2008class.o sp_fmin.o \
sp_fmax.o \
dsemul.o
lib-y += ieee754d.o \
dp_tlong.o dp_flong.o dp_sqrt.o \
sp_tlong.o sp_flong.o sp_sqrt.o
obj-$(CONFIG_DEBUG_FS) += me-debugfs.o
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* double precision: CLASS.f
* FPR[fd] = class(FPR[fs])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754dp.h"
int ieee754dp_2008class(union ieee754dp x)
{
COMPXDP;
EXPLODEXDP;
/*
* 10 bit mask as follows:
*
* bit0 = SNAN
* bit1 = QNAN
* bit2 = -INF
* bit3 = -NORM
* bit4 = -DNORM
* bit5 = -ZERO
* bit6 = INF
* bit7 = NORM
* bit8 = DNORM
* bit9 = ZERO
*/
switch(xc) {
case IEEE754_CLASS_SNAN:
return 0x01;
case IEEE754_CLASS_QNAN:
return 0x02;
case IEEE754_CLASS_INF:
return 0x04 << (xs ? 0 : 4);
case IEEE754_CLASS_NORM:
return 0x08 << (xs ? 0 : 4);
case IEEE754_CLASS_DNORM:
return 0x10 << (xs ? 0 : 4);
case IEEE754_CLASS_ZERO:
return 0x20 << (xs ? 0 : 4);
default:
pr_err("Unknown class: %d\n", xc);
return 0;
}
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y)
{
int s;
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
ieee754_clearcx();
FLUSHXDP;
FLUSHYDP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if (xs == ys)
return x;
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
return y;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return x;
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
if (xs == ys)
return x;
else
return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return y;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/*
* Provide guard,round and stick bit space.
*/
xm <<= 3;
ym <<= 3;
if (xe > ye) {
/*
* Have to shift y fraction right to align.
*/
s = xe - ye;
ym = XDPSRS(ym, s);
ye += s;
} else if (ye > xe) {
/*
* Have to shift x fraction right to align.
*/
s = ye - xe;
xm = XDPSRS(xm, s);
xe += s;
}
assert(xe == ye);
assert(xe <= DP_EMAX);
if (xs == ys) {
/*
* Generate 28 bit result of adding two 27 bit numbers
* leaving result in xm, xs and xe.
*/
xm = xm + ym;
if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */
xm = XDPSRS1(xm);
xe++;
}
} else {
if (xm >= ym) {
xm = xm - ym;
} else {
xm = ym - xm;
xs = ys;
}
if (xm == 0)
return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
/*
* Normalize to rounding precision.
*/
while ((xm >> (DP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754dp_format(xs, xe, xm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cmp, int sig)
{
s64 vx;
s64 vy;
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
FLUSHXDP;
FLUSHYDP;
ieee754_clearcx(); /* Even clear inexact flag here */
if (ieee754_class_nan(xc) || ieee754_class_nan(yc)) {
if (sig ||
xc == IEEE754_CLASS_SNAN || yc == IEEE754_CLASS_SNAN)
ieee754_setcx(IEEE754_INVALID_OPERATION);
return (cmp & IEEE754_CUN) != 0;
} else {
vx = x.bits;
vy = y.bits;
if (vx < 0)
vx = -vx ^ DP_SIGN_BIT;
if (vy < 0)
vy = -vy ^ DP_SIGN_BIT;
if (vx < vy)
return (cmp & IEEE754_CLT) != 0;
else if (vx == vy)
return (cmp & IEEE754_CEQ) != 0;
else
return (cmp & IEEE754_CGT) != 0;
}
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y)
{
u64 rm;
int re;
u64 bm;
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
ieee754_clearcx();
FLUSHXDP;
FLUSHYDP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
return ieee754dp_zero(xs ^ ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return ieee754dp_inf(xs ^ ys);
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
ieee754_setcx(IEEE754_ZERO_DIVIDE);
return ieee754dp_inf(xs ^ ys);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ieee754dp_zero(xs == ys ? 0 : 1);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* provide rounding space */
xm <<= 3;
ym <<= 3;
/* now the dirty work */
rm = 0;
re = xe - ye;
for (bm = DP_MBIT(DP_FBITS + 2); bm; bm >>= 1) {
if (xm >= ym) {
xm -= ym;
rm |= bm;
if (xm == 0)
break;
}
xm <<= 1;
}
rm <<= 1;
if (xm)
rm |= 1; /* have remainder, set sticky */
assert(rm);
/*
* Normalise rm to rounding precision ?
*/
while ((rm >> (DP_FBITS + 3)) == 0) {
rm <<= 1;
re--;
}
return ieee754dp_format(xs == ys ? 0 : 1, re, rm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_fint(int x)
{
u64 xm;
int xe;
int xs;
ieee754_clearcx();
if (x == 0)
return ieee754dp_zero(0);
if (x == 1 || x == -1)
return ieee754dp_one(x < 0);
if (x == 10 || x == -10)
return ieee754dp_ten(x < 0);
xs = (x < 0);
if (xs) {
if (x == (1 << 31))
xm = ((unsigned) 1 << 31); /* max neg can't be safely negated */
else
xm = -x;
} else {
xm = x;
}
/* normalize - result can never be inexact or overflow */
xe = DP_FBITS;
while ((xm >> DP_FBITS) == 0) {
xm <<= 1;
xe--;
}
return builddp(xs, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_flong(s64 x)
{
u64 xm;
int xe;
int xs;
ieee754_clearcx();
if (x == 0)
return ieee754dp_zero(0);
if (x == 1 || x == -1)
return ieee754dp_one(x < 0);
if (x == 10 || x == -10)
return ieee754dp_ten(x < 0);
xs = (x < 0);
if (xs) {
if (x == (1ULL << 63))
xm = (1ULL << 63); /* max neg can't be safely negated */
else
xm = -x;
} else {
xm = x;
}
/* normalize */
xe = DP_FBITS + 3;
if (xm >> (DP_FBITS + 1 + 3)) {
/* shunt out overflow bits */
while (xm >> (DP_FBITS + 1 + 3)) {
XDPSRSX1();
}
} else {
/* normalize in grs extended double precision */
while ((xm >> (DP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754dp_format(xs, xe, xm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* double precision: MIN{,A}.f
* MIN : Scalar Floating-Point Minimum
* MINA: Scalar Floating-Point argument with Minimum Absolute Value
*
* MIN.D : FPR[fd] = minNum(FPR[fs],FPR[ft])
* MINA.D: FPR[fd] = maxNumMag(FPR[fs],FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_fmax(union ieee754dp x, union ieee754dp y)
{
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
FLUSHXDP;
FLUSHYDP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return xs ? y : x;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ys ? x : y;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754dp_zero(xs & ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
}
/* Finally get to do some computation */
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* Compare signs */
if (xs > ys)
return y;
else if (xs < ys)
return x;
/* Signs of inputs are equal, let's compare exponents */
if (xs == 0) {
/* Inputs are both positive */
if (xe > ye)
return x;
else if (xe < ye)
return y;
} else {
/* Inputs are both negative */
if (xe > ye)
return y;
else if (xe < ye)
return x;
}
/* Signs and exponents of inputs are equal, let's compare mantissas */
if (xs == 0) {
/* Inputs are both positive, with equal signs and exponents */
if (xm <= ym)
return y;
return x;
}
/* Inputs are both negative, with equal signs and exponents */
if (xm <= ym)
return x;
return y;
}
union ieee754dp ieee754dp_fmaxa(union ieee754dp x, union ieee754dp y)
{
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
FLUSHXDP;
FLUSHYDP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754dp_inf(xs & ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return y;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754dp_zero(xs & ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
}
/* Finally get to do some computation */
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* Compare exponent */
if (xe > ye)
return x;
else if (xe < ye)
return y;
/* Compare mantissa */
if (xm < ym)
return y;
else if (xm > ym)
return x;
else if (xs == 0)
return x;
return y;
}
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* double precision: MIN{,A}.f
* MIN : Scalar Floating-Point Minimum
* MINA: Scalar Floating-Point argument with Minimum Absolute Value
*
* MIN.D : FPR[fd] = minNum(FPR[fs],FPR[ft])
* MINA.D: FPR[fd] = maxNumMag(FPR[fs],FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_fmin(union ieee754dp x, union ieee754dp y)
{
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
FLUSHXDP;
FLUSHYDP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return xs ? x : y;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ys ? y : x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754dp_zero(xs | ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
}
/* Finally get to do some computation */
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* Compare signs */
if (xs > ys)
return x;
else if (xs < ys)
return y;
/* Signs of inputs are the same, let's compare exponents */
if (xs == 0) {
/* Inputs are both positive */
if (xe > ye)
return y;
else if (xe < ye)
return x;
} else {
/* Inputs are both negative */
if (xe > ye)
return x;
else if (xe < ye)
return y;
}
/* Signs and exponents of inputs are equal, let's compare mantissas */
if (xs == 0) {
/* Inputs are both positive, with equal signs and exponents */
if (xm <= ym)
return x;
return y;
}
/* Inputs are both negative, with equal signs and exponents */
if (xm <= ym)
return y;
return x;
}
union ieee754dp ieee754dp_fmina(union ieee754dp x, union ieee754dp y)
{
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
FLUSHXDP;
FLUSHYDP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754dp_inf(xs | ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return y;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754dp_zero(xs | ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
}
/* Finally get to do some computation */
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* Compare exponent */
if (xe > ye)
return y;
else if (xe < ye)
return x;
/* Compare mantissa */
if (xm < ym)
return x;
else if (xm > ym)
return y;
else if (xs == 1)
return x;
return y;
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
#include "ieee754dp.h"
static inline union ieee754dp ieee754dp_nan_fsp(int xs, u64 xm)
{
return builddp(xs, DP_EMAX + 1 + DP_EBIAS,
xm << (DP_FBITS - SP_FBITS));
}
union ieee754dp ieee754dp_fsp(union ieee754sp x)
{
COMPXSP;
EXPLODEXSP;
ieee754_clearcx();
FLUSHXSP;
switch (xc) {
case IEEE754_CLASS_SNAN:
return ieee754dp_nanxcpt(ieee754dp_nan_fsp(xs, xm));
case IEEE754_CLASS_QNAN:
return ieee754dp_nan_fsp(xs, xm);
case IEEE754_CLASS_INF:
return ieee754dp_inf(xs);
case IEEE754_CLASS_ZERO:
return ieee754dp_zero(xs);
case IEEE754_CLASS_DNORM:
/* normalize */
while ((xm >> SP_FBITS) == 0) {
xm <<= 1;
xe--;
}
break;
case IEEE754_CLASS_NORM:
break;
}
/*
* Can't possibly overflow,underflow, or need rounding
*/
/* drop the hidden bit */
xm &= ~SP_HIDDEN_BIT;
return builddp(xs, xe + DP_EBIAS,
(u64) xm << (DP_FBITS - SP_FBITS));
}
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* double precision: MADDF.f (Fused Multiply Add)
* MADDF.fmt: FPR[fd] = FPR[fd] + (FPR[fs] x FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754dp.h"
/* 128 bits shift right logical with rounding. */
static void srl128(u64 *hptr, u64 *lptr, int count)
{
u64 low;
if (count >= 128) {
*lptr = *hptr != 0 || *lptr != 0;
*hptr = 0;
} else if (count >= 64) {
if (count == 64) {
*lptr = *hptr | (*lptr != 0);
} else {
low = *lptr;
*lptr = *hptr >> (count - 64);
*lptr |= (*hptr << (128 - count)) != 0 || low != 0;
}
*hptr = 0;
} else {
low = *lptr;
*lptr = low >> count | *hptr << (64 - count);
*lptr |= (low << (64 - count)) != 0;
*hptr = *hptr >> count;
}
}
static union ieee754dp _dp_maddf(union ieee754dp z, union ieee754dp x,
union ieee754dp y, enum maddf_flags flags)
{
int re;
int rs;
unsigned int lxm;
unsigned int hxm;
unsigned int lym;
unsigned int hym;
u64 lrm;
u64 hrm;
u64 lzm;
u64 hzm;
u64 t;
u64 at;
int s;
COMPXDP;
COMPYDP;
COMPZDP;
EXPLODEXDP;
EXPLODEYDP;
EXPLODEZDP;
FLUSHXDP;
FLUSHYDP;
FLUSHZDP;
ieee754_clearcx();
rs = xs ^ ys;
if (flags & MADDF_NEGATE_PRODUCT)
rs ^= 1;
if (flags & MADDF_NEGATE_ADDITION)
zs ^= 1;
/*
* Handle the cases when at least one of x, y or z is a NaN.
* Order of precedence is sNaN, qNaN and z, x, y.
*/
if (zc == IEEE754_CLASS_SNAN)
return ieee754dp_nanxcpt(z);
if (xc == IEEE754_CLASS_SNAN)
return ieee754dp_nanxcpt(x);
if (yc == IEEE754_CLASS_SNAN)
return ieee754dp_nanxcpt(y);
if (zc == IEEE754_CLASS_QNAN)
return z;
if (xc == IEEE754_CLASS_QNAN)
return x;
if (yc == IEEE754_CLASS_QNAN)
return y;
if (zc == IEEE754_CLASS_DNORM)
DPDNORMZ;
/* ZERO z cases are handled separately below */
switch (CLPAIR(xc, yc)) {
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if ((zc == IEEE754_CLASS_INF) && (zs != rs)) {
/*
* Cases of addition of infinities with opposite signs
* or subtraction of infinities with same signs.
*/
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
}
/*
* z is here either not an infinity, or an infinity having the
* same sign as product (x*y). The result must be an infinity,
* and its sign is determined only by the sign of product (x*y).
*/
return ieee754dp_inf(rs);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
if (zc == IEEE754_CLASS_INF)
return ieee754dp_inf(zs);
if (zc == IEEE754_CLASS_ZERO) {
/* Handle cases +0 + (-0) and similar ones. */
if (zs == rs)
/*
* Cases of addition of zeros of equal signs
* or subtraction of zeroes of opposite signs.
* The sign of the resulting zero is in any
* such case determined only by the sign of z.
*/
return z;
return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
}
/* x*y is here 0, and z is not 0, so just return z */
return z;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
if (zc == IEEE754_CLASS_INF)
return ieee754dp_inf(zs);
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
if (zc == IEEE754_CLASS_INF)
return ieee754dp_inf(zs);
DPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
if (zc == IEEE754_CLASS_INF)
return ieee754dp_inf(zs);
/* continue to real computations */
}
/* Finally get to do some computation */
/*
* Do the multiplication bit first
*
* rm = xm * ym, re = xe + ye basically
*
* At this point xm and ym should have been normalized.
*/
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
re = xe + ye;
/* shunt to top of word */
xm <<= 64 - (DP_FBITS + 1);
ym <<= 64 - (DP_FBITS + 1);
/*
* Multiply 64 bits xm and ym to give 128 bits result in hrm:lrm.
*/
lxm = xm;
hxm = xm >> 32;
lym = ym;
hym = ym >> 32;
lrm = DPXMULT(lxm, lym);
hrm = DPXMULT(hxm, hym);
t = DPXMULT(lxm, hym);
at = lrm + (t << 32);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 32);
t = DPXMULT(hxm, lym);
at = lrm + (t << 32);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 32);
/* Put explicit bit at bit 126 if necessary */
if ((int64_t)hrm < 0) {
lrm = (hrm << 63) | (lrm >> 1);
hrm = hrm >> 1;
re++;
}
assert(hrm & (1 << 62));
if (zc == IEEE754_CLASS_ZERO) {
/*
* Move explicit bit from bit 126 to bit 55 since the
* ieee754dp_format code expects the mantissa to be
* 56 bits wide (53 + 3 rounding bits).
*/
srl128(&hrm, &lrm, (126 - 55));
return ieee754dp_format(rs, re, lrm);
}
/* Move explicit bit from bit 52 to bit 126 */
lzm = 0;
hzm = zm << 10;
assert(hzm & (1 << 62));
/* Make the exponents the same */
if (ze > re) {
/*
* Have to shift y fraction right to align.
*/
s = ze - re;
srl128(&hrm, &lrm, s);
re += s;
} else if (re > ze) {
/*
* Have to shift x fraction right to align.
*/
s = re - ze;
srl128(&hzm, &lzm, s);
ze += s;
}
assert(ze == re);
assert(ze <= DP_EMAX);
/* Do the addition */
if (zs == rs) {
/*
* Generate 128 bit result by adding two 127 bit numbers
* leaving result in hzm:lzm, zs and ze.
*/
hzm = hzm + hrm + (lzm > (lzm + lrm));
lzm = lzm + lrm;
if ((int64_t)hzm < 0) { /* carry out */
srl128(&hzm, &lzm, 1);
ze++;
}
} else {
if (hzm > hrm || (hzm == hrm && lzm >= lrm)) {
hzm = hzm - hrm - (lzm < lrm);
lzm = lzm - lrm;
} else {
hzm = hrm - hzm - (lrm < lzm);
lzm = lrm - lzm;
zs = rs;
}
if (lzm == 0 && hzm == 0)
return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
/*
* Put explicit bit at bit 126 if necessary.
*/
if (hzm == 0) {
/* left shift by 63 or 64 bits */
if ((int64_t)lzm < 0) {
/* MSB of lzm is the explicit bit */
hzm = lzm >> 1;
lzm = lzm << 63;
ze -= 63;
} else {
hzm = lzm;
lzm = 0;
ze -= 64;
}
}
t = 0;
while ((hzm >> (62 - t)) == 0)
t++;
assert(t <= 62);
if (t) {
hzm = hzm << t | lzm >> (64 - t);
lzm = lzm << t;
ze -= t;
}
}
/*
* Move explicit bit from bit 126 to bit 55 since the
* ieee754dp_format code expects the mantissa to be
* 56 bits wide (53 + 3 rounding bits).
*/
srl128(&hzm, &lzm, (126 - 55));
return ieee754dp_format(zs, ze, lzm);
}
union ieee754dp ieee754dp_maddf(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, 0);
}
union ieee754dp ieee754dp_msubf(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, MADDF_NEGATE_PRODUCT);
}
union ieee754dp ieee754dp_madd(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, 0);
}
union ieee754dp ieee754dp_msub(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, MADDF_NEGATE_ADDITION);
}
union ieee754dp ieee754dp_nmadd(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, MADDF_NEGATE_PRODUCT|MADDF_NEGATE_ADDITION);
}
union ieee754dp ieee754dp_nmsub(union ieee754dp z, union ieee754dp x,
union ieee754dp y)
{
return _dp_maddf(z, x, y, MADDF_NEGATE_PRODUCT);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y)
{
int re;
int rs;
u64 rm;
unsigned int lxm;
unsigned int hxm;
unsigned int lym;
unsigned int hym;
u64 lrm;
u64 hrm;
u64 t;
u64 at;
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
ieee754_clearcx();
FLUSHXDP;
FLUSHYDP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754dp_inf(xs ^ ys);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return ieee754dp_zero(xs ^ ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
DPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
/* rm = xm * ym, re = xe+ye basically */
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
re = xe + ye;
rs = xs ^ ys;
/* shunt to top of word */
xm <<= 64 - (DP_FBITS + 1);
ym <<= 64 - (DP_FBITS + 1);
/*
* Multiply 64 bits xm, ym to give high 64 bits rm with stickness.
*/
lxm = xm;
hxm = xm >> 32;
lym = ym;
hym = ym >> 32;
lrm = DPXMULT(lxm, lym);
hrm = DPXMULT(hxm, hym);
t = DPXMULT(lxm, hym);
at = lrm + (t << 32);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 32);
t = DPXMULT(hxm, lym);
at = lrm + (t << 32);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 32);
rm = hrm | (lrm != 0);
/*
* Sticky shift down to normal rounding precision.
*/
if ((s64) rm < 0) {
rm = (rm >> (64 - (DP_FBITS + 1 + 3))) |
((rm << (DP_FBITS + 1 + 3)) != 0);
re++;
} else {
rm = (rm >> (64 - (DP_FBITS + 1 + 3 + 1))) |
((rm << (DP_FBITS + 1 + 3 + 1)) != 0);
}
assert(rm & (DP_HIDDEN_BIT << 3));
return ieee754dp_format(rs, re, rm);
}
+78
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@@ -0,0 +1,78 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
* Copyright (C) 2017 Imagination Technologies, Ltd.
* Author: Aleksandar Markovic <aleksandar.markovic@imgtec.com>
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_rint(union ieee754dp x)
{
union ieee754dp ret;
u64 residue;
int sticky;
int round;
int odd;
COMPXDP;
ieee754_clearcx();
EXPLODEXDP;
FLUSHXDP;
if (xc == IEEE754_CLASS_SNAN)
return ieee754dp_nanxcpt(x);
if ((xc == IEEE754_CLASS_QNAN) ||
(xc == IEEE754_CLASS_INF) ||
(xc == IEEE754_CLASS_ZERO))
return x;
if (xe >= DP_FBITS)
return x;
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
residue = xm << (64 - DP_FBITS + xe);
round = (residue >> 63) != 0;
sticky = (residue << 1) != 0;
xm >>= DP_FBITS - xe;
}
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN: /* toward nearest */
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ: /* toward zero */
break;
case FPU_CSR_RU: /* toward +infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -infinity */
if ((round || sticky) && xs)
xm++;
break;
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
ret = ieee754dp_flong(xm);
DPSIGN(ret) = xs;
return ret;
}
@@ -0,0 +1,49 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_neg(union ieee754dp x)
{
union ieee754dp y;
if (ieee754_csr.abs2008) {
y = x;
DPSIGN(y) = !DPSIGN(x);
} else {
unsigned int oldrm;
oldrm = ieee754_csr.rm;
ieee754_csr.rm = FPU_CSR_RD;
y = ieee754dp_sub(ieee754dp_zero(0), x);
ieee754_csr.rm = oldrm;
}
return y;
}
union ieee754dp ieee754dp_abs(union ieee754dp x)
{
union ieee754dp y;
if (ieee754_csr.abs2008) {
y = x;
DPSIGN(y) = 0;
} else {
unsigned int oldrm;
oldrm = ieee754_csr.rm;
ieee754_csr.rm = FPU_CSR_RD;
if (DPSIGN(x))
y = ieee754dp_sub(ieee754dp_zero(0), x);
else
y = ieee754dp_add(ieee754dp_zero(0), x);
ieee754_csr.rm = oldrm;
}
return y;
}
+152
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@@ -0,0 +1,152 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision square root
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
static const unsigned int table[] = {
0, 1204, 3062, 5746, 9193, 13348, 18162, 23592,
29598, 36145, 43202, 50740, 58733, 67158, 75992,
85215, 83599, 71378, 60428, 50647, 41945, 34246,
27478, 21581, 16499, 12183, 8588, 5674, 3403,
1742, 661, 130
};
union ieee754dp ieee754dp_sqrt(union ieee754dp x)
{
struct _ieee754_csr oldcsr;
union ieee754dp y, z, t;
unsigned int scalx, yh;
COMPXDP;
EXPLODEXDP;
ieee754_clearcx();
FLUSHXDP;
/* x == INF or NAN? */
switch (xc) {
case IEEE754_CLASS_SNAN:
return ieee754dp_nanxcpt(x);
case IEEE754_CLASS_QNAN:
/* sqrt(Nan) = Nan */
return x;
case IEEE754_CLASS_ZERO:
/* sqrt(0) = 0 */
return x;
case IEEE754_CLASS_INF:
if (xs) {
/* sqrt(-Inf) = Nan */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
}
/* sqrt(+Inf) = Inf */
return x;
case IEEE754_CLASS_DNORM:
DPDNORMX;
fallthrough;
case IEEE754_CLASS_NORM:
if (xs) {
/* sqrt(-x) = Nan */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
}
break;
}
/* save old csr; switch off INX enable & flag; set RN rounding */
oldcsr = ieee754_csr;
ieee754_csr.mx &= ~IEEE754_INEXACT;
ieee754_csr.sx &= ~IEEE754_INEXACT;
ieee754_csr.rm = FPU_CSR_RN;
/* adjust exponent to prevent overflow */
scalx = 0;
if (xe > 512) { /* x > 2**-512? */
xe -= 512; /* x = x / 2**512 */
scalx += 256;
} else if (xe < -512) { /* x < 2**-512? */
xe += 512; /* x = x * 2**512 */
scalx -= 256;
}
x = builddp(0, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
y = x;
/* magic initial approximation to almost 8 sig. bits */
yh = y.bits >> 32;
yh = (yh >> 1) + 0x1ff80000;
yh = yh - table[(yh >> 15) & 31];
y.bits = ((u64) yh << 32) | (y.bits & 0xffffffff);
/* Heron's rule once with correction to improve to ~18 sig. bits */
/* t=x/y; y=y+t; py[n0]=py[n0]-0x00100006; py[n1]=0; */
t = ieee754dp_div(x, y);
y = ieee754dp_add(y, t);
y.bits -= 0x0010000600000000LL;
y.bits &= 0xffffffff00000000LL;
/* triple to almost 56 sig. bits: y ~= sqrt(x) to within 1 ulp */
/* t=y*y; z=t; pt[n0]+=0x00100000; t+=z; z=(x-z)*y; */
t = ieee754dp_mul(y, y);
z = t;
t.bexp += 0x001;
t = ieee754dp_add(t, z);
z = ieee754dp_mul(ieee754dp_sub(x, z), y);
/* t=z/(t+x) ; pt[n0]+=0x00100000; y+=t; */
t = ieee754dp_div(z, ieee754dp_add(t, x));
t.bexp += 0x001;
y = ieee754dp_add(y, t);
/* twiddle last bit to force y correctly rounded */
/* set RZ, clear INEX flag */
ieee754_csr.rm = FPU_CSR_RZ;
ieee754_csr.sx &= ~IEEE754_INEXACT;
/* t=x/y; ...chopped quotient, possibly inexact */
t = ieee754dp_div(x, y);
if (ieee754_csr.sx & IEEE754_INEXACT || t.bits != y.bits) {
if (!(ieee754_csr.sx & IEEE754_INEXACT))
/* t = t-ulp */
t.bits -= 1;
/* add inexact to result status */
oldcsr.cx |= IEEE754_INEXACT;
oldcsr.sx |= IEEE754_INEXACT;
switch (oldcsr.rm) {
case FPU_CSR_RU:
y.bits += 1;
fallthrough;
case FPU_CSR_RN:
t.bits += 1;
break;
}
/* y=y+t; ...chopped sum */
y = ieee754dp_add(y, t);
/* adjust scalx for correctly rounded sqrt(x) */
scalx -= 1;
}
/* py[n0]=py[n0]+scalx; ...scale back y */
y.bexp += scalx;
/* restore rounding mode, possibly set inexact */
ieee754_csr = oldcsr;
return y;
}
+172
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@@ -0,0 +1,172 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y)
{
int s;
COMPXDP;
COMPYDP;
EXPLODEXDP;
EXPLODEYDP;
ieee754_clearcx();
FLUSHXDP;
FLUSHYDP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754dp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754dp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if (xs != ys)
return x;
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754dp_indef();
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
return ieee754dp_inf(ys ^ 1);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return x;
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
if (xs != ys)
return x;
else
return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
/* quick fix up */
DPSIGN(y) ^= 1;
return y;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
DPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
/* normalize ym,ye */
DPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
/* normalize xm,xe */
DPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
/* flip sign of y and handle as add */
ys ^= 1;
assert(xm & DP_HIDDEN_BIT);
assert(ym & DP_HIDDEN_BIT);
/* provide guard,round and stick bit dpace */
xm <<= 3;
ym <<= 3;
if (xe > ye) {
/*
* Have to shift y fraction right to align
*/
s = xe - ye;
ym = XDPSRS(ym, s);
ye += s;
} else if (ye > xe) {
/*
* Have to shift x fraction right to align
*/
s = ye - xe;
xm = XDPSRS(xm, s);
xe += s;
}
assert(xe == ye);
assert(xe <= DP_EMAX);
if (xs == ys) {
/* generate 28 bit result of adding two 27 bit numbers
*/
xm = xm + ym;
if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */
xm = XDPSRS1(xm); /* shift preserving sticky */
xe++;
}
} else {
if (xm >= ym) {
xm = xm - ym;
} else {
xm = ym - xm;
xs = ys;
}
if (xm == 0) {
if (ieee754_csr.rm == FPU_CSR_RD)
return ieee754dp_zero(1); /* round negative inf. => sign = -1 */
else
return ieee754dp_zero(0); /* other round modes => sign = 1 */
}
/* normalize to rounding precision
*/
while ((xm >> (DP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754dp_format(xs, xe, xm);
}
+96
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@@ -0,0 +1,96 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
int ieee754dp_tint(union ieee754dp x)
{
u64 residue;
int round;
int sticky;
int odd;
COMPXDP;
ieee754_clearcx();
EXPLODEXDP;
FLUSHXDP;
switch (xc) {
case IEEE754_CLASS_SNAN:
case IEEE754_CLASS_QNAN:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_indef();
case IEEE754_CLASS_INF:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
case IEEE754_CLASS_ZERO:
return 0;
case IEEE754_CLASS_DNORM:
case IEEE754_CLASS_NORM:
break;
}
if (xe > 31) {
/* Set invalid. We will only use overflow for floating
point overflow */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
}
/* oh gawd */
if (xe > DP_FBITS) {
xm <<= xe - DP_FBITS;
} else if (xe < DP_FBITS) {
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
residue = xm << (64 - DP_FBITS + xe);
round = (residue >> 63) != 0;
sticky = (residue << 1) != 0;
xm >>= DP_FBITS - xe;
}
/* Note: At this point upper 32 bits of xm are guaranteed
to be zero */
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ:
break;
case FPU_CSR_RU: /* toward +Infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -Infinity */
if ((round || sticky) && xs)
xm++;
break;
}
/* look for valid corner case 0x80000000 */
if ((xm >> 31) != 0 && (xs == 0 || xm != 0x80000000)) {
/* This can happen after rounding */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
}
if (xs)
return -xm;
else
return xm;
}
+100
View File
@@ -0,0 +1,100 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754dp.h"
s64 ieee754dp_tlong(union ieee754dp x)
{
u64 residue;
int round;
int sticky;
int odd;
COMPXDP;
ieee754_clearcx();
EXPLODEXDP;
FLUSHXDP;
switch (xc) {
case IEEE754_CLASS_SNAN:
case IEEE754_CLASS_QNAN:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_indef();
case IEEE754_CLASS_INF:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
case IEEE754_CLASS_ZERO:
return 0;
case IEEE754_CLASS_DNORM:
case IEEE754_CLASS_NORM:
break;
}
if (xe >= 63) {
/* look for valid corner case */
if (xe == 63 && xs && xm == DP_HIDDEN_BIT)
return -0x8000000000000000LL;
/* Set invalid. We will only use overflow for floating
point overflow */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
}
/* oh gawd */
if (xe > DP_FBITS) {
xm <<= xe - DP_FBITS;
} else if (xe < DP_FBITS) {
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
/* Shifting a u64 64 times does not work,
* so we do it in two steps. Be aware that xe
* may be -1 */
residue = xm << (xe + 1);
residue <<= 63 - DP_FBITS;
round = (residue >> 63) != 0;
sticky = (residue << 1) != 0;
xm >>= DP_FBITS - xe;
}
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ:
break;
case FPU_CSR_RU: /* toward +Infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -Infinity */
if ((round || sticky) && xs)
xm++;
break;
}
if ((xm >> 63) != 0) {
/* This can happen after rounding */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
}
if (xs)
return -xm;
else
return xm;
}
+305
View File
@@ -0,0 +1,305 @@
// SPDX-License-Identifier: GPL-2.0
#include <linux/err.h>
#include <linux/slab.h>
#include <linux/mm_types.h>
#include <linux/sched/task.h>
#include <asm/branch.h>
#include <asm/cacheflush.h>
#include <asm/fpu_emulator.h>
#include <asm/inst.h>
#include <asm/mipsregs.h>
#include <linux/uaccess.h>
/**
* struct emuframe - The 'emulation' frame structure
* @emul: The instruction to 'emulate'.
* @badinst: A break instruction to cause a return to the kernel.
*
* This structure defines the frames placed within the delay slot emulation
* page in response to a call to mips_dsemul(). Each thread may be allocated
* only one frame at any given time. The kernel stores within it the
* instruction to be 'emulated' followed by a break instruction, then
* executes the frame in user mode. The break causes a trap to the kernel
* which leads to do_dsemulret() being called unless the instruction in
* @emul causes a trap itself, is a branch, or a signal is delivered to
* the thread. In these cases the allocated frame will either be reused by
* a subsequent delay slot 'emulation', or be freed during signal delivery or
* upon thread exit.
*
* This approach is used because:
*
* - Actually emulating all instructions isn't feasible. We would need to
* be able to handle instructions from all revisions of the MIPS ISA,
* all ASEs & all vendor instruction set extensions. This would be a
* whole lot of work & continual maintenance burden as new instructions
* are introduced, and in the case of some vendor extensions may not
* even be possible. Thus we need to take the approach of actually
* executing the instruction.
*
* - We must execute the instruction within user context. If we were to
* execute the instruction in kernel mode then it would have access to
* kernel resources without very careful checks, leaving us with a
* high potential for security or stability issues to arise.
*
* - We used to place the frame on the users stack, but this requires
* that the stack be executable. This is bad for security so the
* per-process page is now used instead.
*
* - The instruction in @emul may be something entirely invalid for a
* delay slot. The user may (intentionally or otherwise) place a branch
* in a delay slot, or a kernel mode instruction, or something else
* which generates an exception. Thus we can't rely upon the break in
* @badinst always being hit. For this reason we track the index of the
* frame allocated to each thread, allowing us to clean it up at later
* points such as signal delivery or thread exit.
*
* - The user may generate a fake struct emuframe if they wish, invoking
* the BRK_MEMU break instruction themselves. We must therefore not
* trust that BRK_MEMU means there's actually a valid frame allocated
* to the thread, and must not allow the user to do anything they
* couldn't already.
*/
struct emuframe {
mips_instruction emul;
mips_instruction badinst;
};
static const int emupage_frame_count = PAGE_SIZE / sizeof(struct emuframe);
static inline __user struct emuframe *dsemul_page(void)
{
return (__user struct emuframe *)STACK_TOP;
}
static int alloc_emuframe(void)
{
mm_context_t *mm_ctx = &current->mm->context;
int idx;
retry:
spin_lock(&mm_ctx->bd_emupage_lock);
/* Ensure we have an allocation bitmap */
if (!mm_ctx->bd_emupage_allocmap) {
mm_ctx->bd_emupage_allocmap = bitmap_zalloc(emupage_frame_count,
GFP_ATOMIC);
if (!mm_ctx->bd_emupage_allocmap) {
idx = BD_EMUFRAME_NONE;
goto out_unlock;
}
}
/* Attempt to allocate a single bit/frame */
idx = bitmap_find_free_region(mm_ctx->bd_emupage_allocmap,
emupage_frame_count, 0);
if (idx < 0) {
/*
* Failed to allocate a frame. We'll wait until one becomes
* available. We unlock the page so that other threads actually
* get the opportunity to free their frames, which means
* technically the result of bitmap_full may be incorrect.
* However the worst case is that we repeat all this and end up
* back here again.
*/
spin_unlock(&mm_ctx->bd_emupage_lock);
if (!wait_event_killable(mm_ctx->bd_emupage_queue,
!bitmap_full(mm_ctx->bd_emupage_allocmap,
emupage_frame_count)))
goto retry;
/* Received a fatal signal - just give in */
return BD_EMUFRAME_NONE;
}
/* Success! */
pr_debug("allocate emuframe %d to %d\n", idx, current->pid);
out_unlock:
spin_unlock(&mm_ctx->bd_emupage_lock);
return idx;
}
static void free_emuframe(int idx, struct mm_struct *mm)
{
mm_context_t *mm_ctx = &mm->context;
spin_lock(&mm_ctx->bd_emupage_lock);
pr_debug("free emuframe %d from %d\n", idx, current->pid);
bitmap_clear(mm_ctx->bd_emupage_allocmap, idx, 1);
/* If some thread is waiting for a frame, now's its chance */
wake_up(&mm_ctx->bd_emupage_queue);
spin_unlock(&mm_ctx->bd_emupage_lock);
}
static bool within_emuframe(struct pt_regs *regs)
{
unsigned long base = (unsigned long)dsemul_page();
if (regs->cp0_epc < base)
return false;
if (regs->cp0_epc >= (base + PAGE_SIZE))
return false;
return true;
}
bool dsemul_thread_cleanup(struct task_struct *tsk)
{
int fr_idx;
/* Clear any allocated frame, retrieving its index */
fr_idx = atomic_xchg(&tsk->thread.bd_emu_frame, BD_EMUFRAME_NONE);
/* If no frame was allocated, we're done */
if (fr_idx == BD_EMUFRAME_NONE)
return false;
task_lock(tsk);
/* Free the frame that this thread had allocated */
if (tsk->mm)
free_emuframe(fr_idx, tsk->mm);
task_unlock(tsk);
return true;
}
bool dsemul_thread_rollback(struct pt_regs *regs)
{
struct emuframe __user *fr;
int fr_idx;
/* Do nothing if we're not executing from a frame */
if (!within_emuframe(regs))
return false;
/* Find the frame being executed */
fr_idx = atomic_read(&current->thread.bd_emu_frame);
if (fr_idx == BD_EMUFRAME_NONE)
return false;
fr = &dsemul_page()[fr_idx];
/*
* If the PC is at the emul instruction, roll back to the branch. If
* PC is at the badinst (break) instruction, we've already emulated the
* instruction so progress to the continue PC. If it's anything else
* then something is amiss & the user has branched into some other area
* of the emupage - we'll free the allocated frame anyway.
*/
if (msk_isa16_mode(regs->cp0_epc) == (unsigned long)&fr->emul)
regs->cp0_epc = current->thread.bd_emu_branch_pc;
else if (msk_isa16_mode(regs->cp0_epc) == (unsigned long)&fr->badinst)
regs->cp0_epc = current->thread.bd_emu_cont_pc;
atomic_set(&current->thread.bd_emu_frame, BD_EMUFRAME_NONE);
free_emuframe(fr_idx, current->mm);
return true;
}
void dsemul_mm_cleanup(struct mm_struct *mm)
{
mm_context_t *mm_ctx = &mm->context;
bitmap_free(mm_ctx->bd_emupage_allocmap);
}
int mips_dsemul(struct pt_regs *regs, mips_instruction ir,
unsigned long branch_pc, unsigned long cont_pc)
{
int isa16 = get_isa16_mode(regs->cp0_epc);
mips_instruction break_math;
unsigned long fr_uaddr;
struct emuframe fr;
int fr_idx, ret;
/* NOP is easy */
if (ir == 0)
return -1;
/* microMIPS instructions */
if (isa16) {
union mips_instruction insn = { .word = ir };
/* NOP16 aka MOVE16 $0, $0 */
if ((ir >> 16) == MM_NOP16)
return -1;
/* ADDIUPC */
if (insn.mm_a_format.opcode == mm_addiupc_op) {
unsigned int rs;
s32 v;
rs = (((insn.mm_a_format.rs + 0xe) & 0xf) + 2);
v = regs->cp0_epc & ~3;
v += insn.mm_a_format.simmediate << 2;
regs->regs[rs] = (long)v;
return -1;
}
}
pr_debug("dsemul 0x%08lx cont at 0x%08lx\n", regs->cp0_epc, cont_pc);
/* Allocate a frame if we don't already have one */
fr_idx = atomic_read(&current->thread.bd_emu_frame);
if (fr_idx == BD_EMUFRAME_NONE)
fr_idx = alloc_emuframe();
if (fr_idx == BD_EMUFRAME_NONE)
return SIGBUS;
/* Retrieve the appropriately encoded break instruction */
break_math = BREAK_MATH(isa16);
/* Write the instructions to the frame */
if (isa16) {
union mips_instruction _emul = {
.halfword = { ir >> 16, ir }
};
union mips_instruction _badinst = {
.halfword = { break_math >> 16, break_math }
};
fr.emul = _emul.word;
fr.badinst = _badinst.word;
} else {
fr.emul = ir;
fr.badinst = break_math;
}
/* Write the frame to user memory */
fr_uaddr = (unsigned long)&dsemul_page()[fr_idx];
ret = access_process_vm(current, fr_uaddr, &fr, sizeof(fr),
FOLL_FORCE | FOLL_WRITE);
if (unlikely(ret != sizeof(fr))) {
MIPS_FPU_EMU_INC_STATS(errors);
free_emuframe(fr_idx, current->mm);
return SIGBUS;
}
/* Record the PC of the branch, PC to continue from & frame index */
current->thread.bd_emu_branch_pc = branch_pc;
current->thread.bd_emu_cont_pc = cont_pc;
atomic_set(&current->thread.bd_emu_frame, fr_idx);
/* Change user register context to execute the frame */
regs->cp0_epc = fr_uaddr | isa16;
return 0;
}
bool do_dsemulret(struct pt_regs *xcp)
{
/* Cleanup the allocated frame, returning if there wasn't one */
if (!dsemul_thread_cleanup(current)) {
MIPS_FPU_EMU_INC_STATS(errors);
return false;
}
/* Set EPC to return to post-branch instruction */
xcp->cp0_epc = current->thread.bd_emu_cont_pc;
pr_debug("dsemulret to 0x%08lx\n", xcp->cp0_epc);
MIPS_FPU_EMU_INC_STATS(ds_emul);
return true;
}
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// SPDX-License-Identifier: GPL-2.0-only
/* ieee754 floating point arithmetic
* single and double precision
*
* BUGS
* not much dp done
* doesn't generate IEEE754_INEXACT
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include <linux/compiler.h>
#include "ieee754.h"
#include "ieee754sp.h"
#include "ieee754dp.h"
/*
* Special constants
*/
/*
* Older GCC requires the inner braces for initialization of union ieee754dp's
* anonymous struct member. Without an error will result.
*/
#define xPCNST(s, b, m, ebias) \
{ \
{ \
.sign = (s), \
.bexp = (b) + ebias, \
.mant = (m) \
} \
}
#define DPCNST(s, b, m) \
xPCNST(s, b, m, DP_EBIAS)
const union ieee754dp __ieee754dp_spcvals[] = {
DPCNST(0, DP_EMIN - 1, 0x0000000000000ULL), /* + zero */
DPCNST(1, DP_EMIN - 1, 0x0000000000000ULL), /* - zero */
DPCNST(0, 0, 0x0000000000000ULL), /* + 1.0 */
DPCNST(1, 0, 0x0000000000000ULL), /* - 1.0 */
DPCNST(0, 3, 0x4000000000000ULL), /* + 10.0 */
DPCNST(1, 3, 0x4000000000000ULL), /* - 10.0 */
DPCNST(0, DP_EMAX + 1, 0x0000000000000ULL), /* + infinity */
DPCNST(1, DP_EMAX + 1, 0x0000000000000ULL), /* - infinity */
DPCNST(0, DP_EMAX + 1, 0x7FFFFFFFFFFFFULL), /* + ind legacy qNaN */
DPCNST(0, DP_EMAX + 1, 0x8000000000000ULL), /* + indef 2008 qNaN */
DPCNST(0, DP_EMAX, 0xFFFFFFFFFFFFFULL), /* + max */
DPCNST(1, DP_EMAX, 0xFFFFFFFFFFFFFULL), /* - max */
DPCNST(0, DP_EMIN, 0x0000000000000ULL), /* + min normal */
DPCNST(1, DP_EMIN, 0x0000000000000ULL), /* - min normal */
DPCNST(0, DP_EMIN - 1, 0x0000000000001ULL), /* + min denormal */
DPCNST(1, DP_EMIN - 1, 0x0000000000001ULL), /* - min denormal */
DPCNST(0, 31, 0x0000000000000ULL), /* + 1.0e31 */
DPCNST(0, 63, 0x0000000000000ULL), /* + 1.0e63 */
};
#define SPCNST(s, b, m) \
xPCNST(s, b, m, SP_EBIAS)
const union ieee754sp __ieee754sp_spcvals[] = {
SPCNST(0, SP_EMIN - 1, 0x000000), /* + zero */
SPCNST(1, SP_EMIN - 1, 0x000000), /* - zero */
SPCNST(0, 0, 0x000000), /* + 1.0 */
SPCNST(1, 0, 0x000000), /* - 1.0 */
SPCNST(0, 3, 0x200000), /* + 10.0 */
SPCNST(1, 3, 0x200000), /* - 10.0 */
SPCNST(0, SP_EMAX + 1, 0x000000), /* + infinity */
SPCNST(1, SP_EMAX + 1, 0x000000), /* - infinity */
SPCNST(0, SP_EMAX + 1, 0x3FFFFF), /* + indef legacy quiet NaN */
SPCNST(0, SP_EMAX + 1, 0x400000), /* + indef 2008 quiet NaN */
SPCNST(0, SP_EMAX, 0x7FFFFF), /* + max normal */
SPCNST(1, SP_EMAX, 0x7FFFFF), /* - max normal */
SPCNST(0, SP_EMIN, 0x000000), /* + min normal */
SPCNST(1, SP_EMIN, 0x000000), /* - min normal */
SPCNST(0, SP_EMIN - 1, 0x000001), /* + min denormal */
SPCNST(1, SP_EMIN - 1, 0x000001), /* - min denormal */
SPCNST(0, 31, 0x000000), /* + 1.0e31 */
SPCNST(0, 63, 0x000000), /* + 1.0e63 */
};
+311
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/* SPDX-License-Identifier: GPL-2.0-only */
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*
* Nov 7, 2000
* Modification to allow integration with Linux kernel
*
* Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
* Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
*/
#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
#define __ARCH_MIPS_MATH_EMU_IEEE754_H
#include <linux/compiler.h>
#include <asm/byteorder.h>
#include <linux/kernel.h>
#include <linux/types.h>
#include <linux/sched.h>
#include <asm/bitfield.h>
union ieee754dp {
struct {
__BITFIELD_FIELD(unsigned int sign:1,
__BITFIELD_FIELD(unsigned int bexp:11,
__BITFIELD_FIELD(u64 mant:52,
;)))
};
u64 bits;
};
union ieee754sp {
struct {
__BITFIELD_FIELD(unsigned sign:1,
__BITFIELD_FIELD(unsigned bexp:8,
__BITFIELD_FIELD(unsigned mant:23,
;)))
};
u32 bits;
};
/*
* single precision (often aka float)
*/
int ieee754sp_class(union ieee754sp x);
union ieee754sp ieee754sp_abs(union ieee754sp x);
union ieee754sp ieee754sp_neg(union ieee754sp x);
union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_fint(int x);
union ieee754sp ieee754sp_flong(s64 x);
union ieee754sp ieee754sp_fdp(union ieee754dp x);
union ieee754sp ieee754sp_rint(union ieee754sp x);
int ieee754sp_tint(union ieee754sp x);
s64 ieee754sp_tlong(union ieee754sp x);
int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cop, int sig);
union ieee754sp ieee754sp_sqrt(union ieee754sp x);
union ieee754sp ieee754sp_maddf(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
union ieee754sp ieee754sp_msubf(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
union ieee754sp ieee754sp_madd(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
union ieee754sp ieee754sp_msub(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
union ieee754sp ieee754sp_nmadd(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
union ieee754sp ieee754sp_nmsub(union ieee754sp z, union ieee754sp x,
union ieee754sp y);
int ieee754sp_2008class(union ieee754sp x);
union ieee754sp ieee754sp_fmin(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_fmina(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_fmax(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_fmaxa(union ieee754sp x, union ieee754sp y);
/*
* double precision (often aka double)
*/
int ieee754dp_class(union ieee754dp x);
union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_abs(union ieee754dp x);
union ieee754dp ieee754dp_neg(union ieee754dp x);
union ieee754dp ieee754dp_fint(int x);
union ieee754dp ieee754dp_flong(s64 x);
union ieee754dp ieee754dp_fsp(union ieee754sp x);
union ieee754dp ieee754dp_rint(union ieee754dp x);
int ieee754dp_tint(union ieee754dp x);
s64 ieee754dp_tlong(union ieee754dp x);
int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cop, int sig);
union ieee754dp ieee754dp_sqrt(union ieee754dp x);
union ieee754dp ieee754dp_maddf(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
union ieee754dp ieee754dp_msubf(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
union ieee754dp ieee754dp_madd(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
union ieee754dp ieee754dp_msub(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
union ieee754dp ieee754dp_nmadd(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
union ieee754dp ieee754dp_nmsub(union ieee754dp z, union ieee754dp x,
union ieee754dp y);
int ieee754dp_2008class(union ieee754dp x);
union ieee754dp ieee754dp_fmin(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_fmina(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_fmax(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_fmaxa(union ieee754dp x, union ieee754dp y);
/* 5 types of floating point number
*/
enum {
IEEE754_CLASS_NORM = 0x00,
IEEE754_CLASS_ZERO = 0x01,
IEEE754_CLASS_DNORM = 0x02,
IEEE754_CLASS_INF = 0x03,
IEEE754_CLASS_SNAN = 0x04,
IEEE754_CLASS_QNAN = 0x05,
};
/* exception numbers */
#define IEEE754_INEXACT 0x01
#define IEEE754_UNDERFLOW 0x02
#define IEEE754_OVERFLOW 0x04
#define IEEE754_ZERO_DIVIDE 0x08
#define IEEE754_INVALID_OPERATION 0x10
/* cmp operators
*/
#define IEEE754_CLT 0x01
#define IEEE754_CEQ 0x02
#define IEEE754_CGT 0x04
#define IEEE754_CUN 0x08
/*
* The control status register
*/
struct _ieee754_csr {
__BITFIELD_FIELD(unsigned fcc:7, /* condition[7:1] */
__BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormals */
__BITFIELD_FIELD(unsigned c:1, /* condition[0] */
__BITFIELD_FIELD(unsigned pad0:3,
__BITFIELD_FIELD(unsigned abs2008:1, /* IEEE 754-2008 ABS/NEG.fmt */
__BITFIELD_FIELD(unsigned nan2008:1, /* IEEE 754-2008 NaN mode */
__BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */
__BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */
__BITFIELD_FIELD(unsigned sx:5, /* exceptions total */
__BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */
;))))))))))
};
#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
static inline unsigned int ieee754_getrm(void)
{
return (ieee754_csr.rm);
}
static inline unsigned int ieee754_setrm(unsigned int rm)
{
return (ieee754_csr.rm = rm);
}
/*
* get current exceptions
*/
static inline unsigned int ieee754_getcx(void)
{
return (ieee754_csr.cx);
}
/* test for current exception condition
*/
static inline int ieee754_cxtest(unsigned int n)
{
return (ieee754_csr.cx & n);
}
/*
* get sticky exceptions
*/
static inline unsigned int ieee754_getsx(void)
{
return (ieee754_csr.sx);
}
/* clear sticky conditions
*/
static inline unsigned int ieee754_clrsx(void)
{
return (ieee754_csr.sx = 0);
}
/* test for sticky exception condition
*/
static inline int ieee754_sxtest(unsigned int n)
{
return (ieee754_csr.sx & n);
}
/* debugging */
union ieee754sp ieee754sp_dump(char *s, union ieee754sp x);
union ieee754dp ieee754dp_dump(char *s, union ieee754dp x);
#define IEEE754_SPCVAL_PZERO 0 /* +0.0 */
#define IEEE754_SPCVAL_NZERO 1 /* -0.0 */
#define IEEE754_SPCVAL_PONE 2 /* +1.0 */
#define IEEE754_SPCVAL_NONE 3 /* -1.0 */
#define IEEE754_SPCVAL_PTEN 4 /* +10.0 */
#define IEEE754_SPCVAL_NTEN 5 /* -10.0 */
#define IEEE754_SPCVAL_PINFINITY 6 /* +inf */
#define IEEE754_SPCVAL_NINFINITY 7 /* -inf */
#define IEEE754_SPCVAL_INDEF_LEG 8 /* legacy quiet NaN */
#define IEEE754_SPCVAL_INDEF_2008 9 /* IEEE 754-2008 quiet NaN */
#define IEEE754_SPCVAL_PMAX 10 /* +max norm */
#define IEEE754_SPCVAL_NMAX 11 /* -max norm */
#define IEEE754_SPCVAL_PMIN 12 /* +min norm */
#define IEEE754_SPCVAL_NMIN 13 /* -min norm */
#define IEEE754_SPCVAL_PMIND 14 /* +min denorm */
#define IEEE754_SPCVAL_NMIND 15 /* -min denorm */
#define IEEE754_SPCVAL_P1E31 16 /* + 1.0e31 */
#define IEEE754_SPCVAL_P1E63 17 /* + 1.0e63 */
extern const union ieee754dp __ieee754dp_spcvals[];
extern const union ieee754sp __ieee754sp_spcvals[];
#define ieee754dp_spcvals ((const union ieee754dp *)__ieee754dp_spcvals)
#define ieee754sp_spcvals ((const union ieee754sp *)__ieee754sp_spcvals)
/*
* Return infinity with given sign
*/
#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \
ieee754_csr.nan2008])
#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \
ieee754_csr.nan2008])
#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
/*
* Indefinite integer value
*/
static inline int ieee754si_indef(void)
{
return ieee754_csr.nan2008 ? 0 : INT_MAX;
}
static inline s64 ieee754di_indef(void)
{
return ieee754_csr.nan2008 ? 0 : S64_MAX;
}
/*
* Overflow integer value
*/
static inline int ieee754si_overflow(int xs)
{
return ieee754_csr.nan2008 && xs ? INT_MIN : INT_MAX;
}
static inline s64 ieee754di_overflow(int xs)
{
return ieee754_csr.nan2008 && xs ? S64_MIN : S64_MAX;
}
/* result types for xctx.rt */
#define IEEE754_RT_SP 0
#define IEEE754_RT_DP 1
#define IEEE754_RT_XP 2
#define IEEE754_RT_SI 3
#define IEEE754_RT_DI 4
/* compat */
#define ieee754dp_fix(x) ieee754dp_tint(x)
#define ieee754sp_fix(x) ieee754sp_tint(x)
#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */
+99
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// SPDX-License-Identifier: GPL-2.0-only
/*
* Some debug functions
*
* MIPS floating point support
*
* Copyright (C) 1994-2000 Algorithmics Ltd.
*
* Nov 7, 2000
* Modified to build and operate in Linux kernel environment.
*
* Kevin D. Kissell, kevink@mips.com and Carsten Langgaard, carstenl@mips.com
* Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
*/
#include <linux/types.h>
#include <linux/printk.h>
#include "ieee754.h"
#include "ieee754sp.h"
#include "ieee754dp.h"
union ieee754dp ieee754dp_dump(char *m, union ieee754dp x)
{
int i;
printk("%s", m);
printk("<%08x,%08x>\n", (unsigned) (x.bits >> 32),
(unsigned) x.bits);
printk("\t=");
switch (ieee754dp_class(x)) {
case IEEE754_CLASS_QNAN:
case IEEE754_CLASS_SNAN:
printk("Nan %c", DPSIGN(x) ? '-' : '+');
for (i = DP_FBITS - 1; i >= 0; i--)
printk("%c", DPMANT(x) & DP_MBIT(i) ? '1' : '0');
break;
case IEEE754_CLASS_INF:
printk("%cInfinity", DPSIGN(x) ? '-' : '+');
break;
case IEEE754_CLASS_ZERO:
printk("%cZero", DPSIGN(x) ? '-' : '+');
break;
case IEEE754_CLASS_DNORM:
printk("%c0.", DPSIGN(x) ? '-' : '+');
for (i = DP_FBITS - 1; i >= 0; i--)
printk("%c", DPMANT(x) & DP_MBIT(i) ? '1' : '0');
printk("e%d", DPBEXP(x) - DP_EBIAS);
break;
case IEEE754_CLASS_NORM:
printk("%c1.", DPSIGN(x) ? '-' : '+');
for (i = DP_FBITS - 1; i >= 0; i--)
printk("%c", DPMANT(x) & DP_MBIT(i) ? '1' : '0');
printk("e%d", DPBEXP(x) - DP_EBIAS);
break;
default:
printk("Illegal/Unknown IEEE754 value class");
}
printk("\n");
return x;
}
union ieee754sp ieee754sp_dump(char *m, union ieee754sp x)
{
int i;
printk("%s=", m);
printk("<%08x>\n", (unsigned) x.bits);
printk("\t=");
switch (ieee754sp_class(x)) {
case IEEE754_CLASS_QNAN:
case IEEE754_CLASS_SNAN:
printk("Nan %c", SPSIGN(x) ? '-' : '+');
for (i = SP_FBITS - 1; i >= 0; i--)
printk("%c", SPMANT(x) & SP_MBIT(i) ? '1' : '0');
break;
case IEEE754_CLASS_INF:
printk("%cInfinity", SPSIGN(x) ? '-' : '+');
break;
case IEEE754_CLASS_ZERO:
printk("%cZero", SPSIGN(x) ? '-' : '+');
break;
case IEEE754_CLASS_DNORM:
printk("%c0.", SPSIGN(x) ? '-' : '+');
for (i = SP_FBITS - 1; i >= 0; i--)
printk("%c", SPMANT(x) & SP_MBIT(i) ? '1' : '0');
printk("e%d", SPBEXP(x) - SP_EBIAS);
break;
case IEEE754_CLASS_NORM:
printk("%c1.", SPSIGN(x) ? '-' : '+');
for (i = SP_FBITS - 1; i >= 0; i--)
printk("%c", SPMANT(x) & SP_MBIT(i) ? '1' : '0');
printk("e%d", SPBEXP(x) - SP_EBIAS);
break;
default:
printk("Illegal/Unknown IEEE754 value class");
}
printk("\n");
return x;
}
+197
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@@ -0,0 +1,197 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* double precision: common utilities
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include <linux/compiler.h>
#include "ieee754dp.h"
int ieee754dp_class(union ieee754dp x)
{
COMPXDP;
EXPLODEXDP;
return xc;
}
static inline int ieee754dp_isnan(union ieee754dp x)
{
return ieee754_class_nan(ieee754dp_class(x));
}
static inline int ieee754dp_issnan(union ieee754dp x)
{
int qbit;
assert(ieee754dp_isnan(x));
qbit = (DPMANT(x) & DP_MBIT(DP_FBITS - 1)) == DP_MBIT(DP_FBITS - 1);
return ieee754_csr.nan2008 ^ qbit;
}
/*
* Raise the Invalid Operation IEEE 754 exception
* and convert the signaling NaN supplied to a quiet NaN.
*/
union ieee754dp __cold ieee754dp_nanxcpt(union ieee754dp r)
{
assert(ieee754dp_issnan(r));
ieee754_setcx(IEEE754_INVALID_OPERATION);
if (ieee754_csr.nan2008) {
DPMANT(r) |= DP_MBIT(DP_FBITS - 1);
} else {
DPMANT(r) &= ~DP_MBIT(DP_FBITS - 1);
if (!ieee754dp_isnan(r))
DPMANT(r) |= DP_MBIT(DP_FBITS - 2);
}
return r;
}
static u64 ieee754dp_get_rounding(int sn, u64 xm)
{
/* inexact must round of 3 bits
*/
if (xm & (DP_MBIT(3) - 1)) {
switch (ieee754_csr.rm) {
case FPU_CSR_RZ:
break;
case FPU_CSR_RN:
xm += 0x3 + ((xm >> 3) & 1);
/* xm += (xm&0x8)?0x4:0x3 */
break;
case FPU_CSR_RU: /* toward +Infinity */
if (!sn) /* ?? */
xm += 0x8;
break;
case FPU_CSR_RD: /* toward -Infinity */
if (sn) /* ?? */
xm += 0x8;
break;
}
}
return xm;
}
/* generate a normal/denormal number with over,under handling
* sn is sign
* xe is an unbiased exponent
* xm is 3bit extended precision value.
*/
union ieee754dp ieee754dp_format(int sn, int xe, u64 xm)
{
assert(xm); /* we don't gen exact zeros (probably should) */
assert((xm >> (DP_FBITS + 1 + 3)) == 0); /* no excess */
assert(xm & (DP_HIDDEN_BIT << 3));
if (xe < DP_EMIN) {
/* strip lower bits */
int es = DP_EMIN - xe;
if (ieee754_csr.nod) {
ieee754_setcx(IEEE754_UNDERFLOW);
ieee754_setcx(IEEE754_INEXACT);
switch(ieee754_csr.rm) {
case FPU_CSR_RN:
case FPU_CSR_RZ:
return ieee754dp_zero(sn);
case FPU_CSR_RU: /* toward +Infinity */
if (sn == 0)
return ieee754dp_min(0);
else
return ieee754dp_zero(1);
case FPU_CSR_RD: /* toward -Infinity */
if (sn == 0)
return ieee754dp_zero(0);
else
return ieee754dp_min(1);
}
}
if (xe == DP_EMIN - 1 &&
ieee754dp_get_rounding(sn, xm) >> (DP_FBITS + 1 + 3))
{
/* Not tiny after rounding */
ieee754_setcx(IEEE754_INEXACT);
xm = ieee754dp_get_rounding(sn, xm);
xm >>= 1;
/* Clear grs bits */
xm &= ~(DP_MBIT(3) - 1);
xe++;
}
else {
/* sticky right shift es bits
*/
xm = XDPSRS(xm, es);
xe += es;
assert((xm & (DP_HIDDEN_BIT << 3)) == 0);
assert(xe == DP_EMIN);
}
}
if (xm & (DP_MBIT(3) - 1)) {
ieee754_setcx(IEEE754_INEXACT);
if ((xm & (DP_HIDDEN_BIT << 3)) == 0) {
ieee754_setcx(IEEE754_UNDERFLOW);
}
/* inexact must round of 3 bits
*/
xm = ieee754dp_get_rounding(sn, xm);
/* adjust exponent for rounding add overflowing
*/
if (xm >> (DP_FBITS + 3 + 1)) {
/* add causes mantissa overflow */
xm >>= 1;
xe++;
}
}
/* strip grs bits */
xm >>= 3;
assert((xm >> (DP_FBITS + 1)) == 0); /* no excess */
assert(xe >= DP_EMIN);
if (xe > DP_EMAX) {
ieee754_setcx(IEEE754_OVERFLOW);
ieee754_setcx(IEEE754_INEXACT);
/* -O can be table indexed by (rm,sn) */
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
return ieee754dp_inf(sn);
case FPU_CSR_RZ:
return ieee754dp_max(sn);
case FPU_CSR_RU: /* toward +Infinity */
if (sn == 0)
return ieee754dp_inf(0);
else
return ieee754dp_max(1);
case FPU_CSR_RD: /* toward -Infinity */
if (sn == 0)
return ieee754dp_max(0);
else
return ieee754dp_inf(1);
}
}
/* gen norm/denorm/zero */
if ((xm & DP_HIDDEN_BIT) == 0) {
/* we underflow (tiny/zero) */
assert(xe == DP_EMIN);
if (ieee754_csr.mx & IEEE754_UNDERFLOW)
ieee754_setcx(IEEE754_UNDERFLOW);
return builddp(sn, DP_EMIN - 1 + DP_EBIAS, xm);
} else {
assert((xm >> (DP_FBITS + 1)) == 0); /* no excess */
assert(xm & DP_HIDDEN_BIT);
return builddp(sn, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
}
}
@@ -0,0 +1,73 @@
/* SPDX-License-Identifier: GPL-2.0-only */
/*
* IEEE754 floating point
* double precision internal header file
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include <linux/compiler.h>
#include "ieee754int.h"
#define assert(expr) ((void)0)
#define DP_EBIAS 1023
#define DP_EMIN (-1022)
#define DP_EMAX 1023
#define DP_FBITS 52
#define DP_MBITS 52
#define DP_MBIT(x) ((u64)1 << (x))
#define DP_HIDDEN_BIT DP_MBIT(DP_FBITS)
#define DP_SIGN_BIT DP_MBIT(63)
#define DPSIGN(dp) (dp.sign)
#define DPBEXP(dp) (dp.bexp)
#define DPMANT(dp) (dp.mant)
static inline int ieee754dp_finite(union ieee754dp x)
{
return DPBEXP(x) != DP_EMAX + 1 + DP_EBIAS;
}
/* 3bit extended double precision sticky right shift */
#define XDPSRS(v,rs) \
((rs > (DP_FBITS+3))?1:((v) >> (rs)) | ((v) << (64-(rs)) != 0))
#define XDPSRSX1() \
(xe++, (xm = (xm >> 1) | (xm & 1)))
#define XDPSRS1(v) \
(((v) >> 1) | ((v) & 1))
/* 32bit * 32bit => 64bit unsigned integer multiplication */
#define DPXMULT(x, y) ((u64)(x) * (u64)y)
/* convert denormal to normalized with extended exponent */
#define DPDNORMx(m,e) \
while ((m >> DP_FBITS) == 0) { m <<= 1; e--; }
#define DPDNORMX DPDNORMx(xm, xe)
#define DPDNORMY DPDNORMx(ym, ye)
#define DPDNORMZ DPDNORMx(zm, ze)
static inline union ieee754dp builddp(int s, int bx, u64 m)
{
union ieee754dp r;
assert((s) == 0 || (s) == 1);
assert((bx) >= DP_EMIN - 1 + DP_EBIAS
&& (bx) <= DP_EMAX + 1 + DP_EBIAS);
assert(((m) >> DP_FBITS) == 0);
r.sign = s;
r.bexp = bx;
r.mant = m;
return r;
}
extern union ieee754dp __cold ieee754dp_nanxcpt(union ieee754dp);
extern union ieee754dp ieee754dp_format(int, int, u64);
+149
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@@ -0,0 +1,149 @@
/* SPDX-License-Identifier: GPL-2.0-only */
/*
* IEEE754 floating point
* common internal header file
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#ifndef __IEEE754INT_H
#define __IEEE754INT_H
#include "ieee754.h"
#define CLPAIR(x, y) ((x)*6+(y))
enum maddf_flags {
MADDF_NEGATE_PRODUCT = 1 << 0,
MADDF_NEGATE_ADDITION = 1 << 1,
};
static inline void ieee754_clearcx(void)
{
ieee754_csr.cx = 0;
}
static inline void ieee754_setcx(const unsigned int flags)
{
ieee754_csr.cx |= flags;
ieee754_csr.sx |= flags;
}
static inline int ieee754_setandtestcx(const unsigned int x)
{
ieee754_setcx(x);
return ieee754_csr.mx & x;
}
static inline int ieee754_class_nan(int xc)
{
return xc >= IEEE754_CLASS_SNAN;
}
#define COMPXSP \
unsigned int xm; int xe; int xs __maybe_unused; int xc
#define COMPYSP \
unsigned int ym; int ye; int ys; int yc
#define COMPZSP \
unsigned int zm; int ze; int zs; int zc
#define EXPLODESP(v, vc, vs, ve, vm) \
{ \
vs = SPSIGN(v); \
ve = SPBEXP(v); \
vm = SPMANT(v); \
if (ve == SP_EMAX+1+SP_EBIAS) { \
if (vm == 0) \
vc = IEEE754_CLASS_INF; \
else if (ieee754_csr.nan2008 ^ !(vm & SP_MBIT(SP_FBITS - 1))) \
vc = IEEE754_CLASS_QNAN; \
else \
vc = IEEE754_CLASS_SNAN; \
} else if (ve == SP_EMIN-1+SP_EBIAS) { \
if (vm) { \
ve = SP_EMIN; \
vc = IEEE754_CLASS_DNORM; \
} else \
vc = IEEE754_CLASS_ZERO; \
} else { \
ve -= SP_EBIAS; \
vm |= SP_HIDDEN_BIT; \
vc = IEEE754_CLASS_NORM; \
} \
}
#define EXPLODEXSP EXPLODESP(x, xc, xs, xe, xm)
#define EXPLODEYSP EXPLODESP(y, yc, ys, ye, ym)
#define EXPLODEZSP EXPLODESP(z, zc, zs, ze, zm)
#define COMPXDP \
u64 xm; int xe; int xs __maybe_unused; int xc
#define COMPYDP \
u64 ym; int ye; int ys; int yc
#define COMPZDP \
u64 zm; int ze; int zs; int zc
#define EXPLODEDP(v, vc, vs, ve, vm) \
{ \
vm = DPMANT(v); \
vs = DPSIGN(v); \
ve = DPBEXP(v); \
if (ve == DP_EMAX+1+DP_EBIAS) { \
if (vm == 0) \
vc = IEEE754_CLASS_INF; \
else if (ieee754_csr.nan2008 ^ !(vm & DP_MBIT(DP_FBITS - 1))) \
vc = IEEE754_CLASS_QNAN; \
else \
vc = IEEE754_CLASS_SNAN; \
} else if (ve == DP_EMIN-1+DP_EBIAS) { \
if (vm) { \
ve = DP_EMIN; \
vc = IEEE754_CLASS_DNORM; \
} else \
vc = IEEE754_CLASS_ZERO; \
} else { \
ve -= DP_EBIAS; \
vm |= DP_HIDDEN_BIT; \
vc = IEEE754_CLASS_NORM; \
} \
}
#define EXPLODEXDP EXPLODEDP(x, xc, xs, xe, xm)
#define EXPLODEYDP EXPLODEDP(y, yc, ys, ye, ym)
#define EXPLODEZDP EXPLODEDP(z, zc, zs, ze, zm)
#define FLUSHDP(v, vc, vs, ve, vm) \
if (vc==IEEE754_CLASS_DNORM) { \
if (ieee754_csr.nod) { \
ieee754_setcx(IEEE754_INEXACT); \
vc = IEEE754_CLASS_ZERO; \
ve = DP_EMIN-1+DP_EBIAS; \
vm = 0; \
v = ieee754dp_zero(vs); \
} \
}
#define FLUSHSP(v, vc, vs, ve, vm) \
if (vc==IEEE754_CLASS_DNORM) { \
if (ieee754_csr.nod) { \
ieee754_setcx(IEEE754_INEXACT); \
vc = IEEE754_CLASS_ZERO; \
ve = SP_EMIN-1+SP_EBIAS; \
vm = 0; \
v = ieee754sp_zero(vs); \
} \
}
#define FLUSHXDP FLUSHDP(x, xc, xs, xe, xm)
#define FLUSHYDP FLUSHDP(y, yc, ys, ye, ym)
#define FLUSHZDP FLUSHDP(z, zc, zs, ze, zm)
#define FLUSHXSP FLUSHSP(x, xc, xs, xe, xm)
#define FLUSHYSP FLUSHSP(y, yc, ys, ye, ym)
#define FLUSHZSP FLUSHSP(z, zc, zs, ze, zm)
#endif /* __IEEE754INT_H */
+196
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@@ -0,0 +1,196 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include <linux/compiler.h>
#include "ieee754sp.h"
int ieee754sp_class(union ieee754sp x)
{
COMPXSP;
EXPLODEXSP;
return xc;
}
static inline int ieee754sp_isnan(union ieee754sp x)
{
return ieee754_class_nan(ieee754sp_class(x));
}
static inline int ieee754sp_issnan(union ieee754sp x)
{
int qbit;
assert(ieee754sp_isnan(x));
qbit = (SPMANT(x) & SP_MBIT(SP_FBITS - 1)) == SP_MBIT(SP_FBITS - 1);
return ieee754_csr.nan2008 ^ qbit;
}
/*
* Raise the Invalid Operation IEEE 754 exception
* and convert the signaling NaN supplied to a quiet NaN.
*/
union ieee754sp __cold ieee754sp_nanxcpt(union ieee754sp r)
{
assert(ieee754sp_issnan(r));
ieee754_setcx(IEEE754_INVALID_OPERATION);
if (ieee754_csr.nan2008) {
SPMANT(r) |= SP_MBIT(SP_FBITS - 1);
} else {
SPMANT(r) &= ~SP_MBIT(SP_FBITS - 1);
if (!ieee754sp_isnan(r))
SPMANT(r) |= SP_MBIT(SP_FBITS - 2);
}
return r;
}
static unsigned int ieee754sp_get_rounding(int sn, unsigned int xm)
{
/* inexact must round of 3 bits
*/
if (xm & (SP_MBIT(3) - 1)) {
switch (ieee754_csr.rm) {
case FPU_CSR_RZ:
break;
case FPU_CSR_RN:
xm += 0x3 + ((xm >> 3) & 1);
/* xm += (xm&0x8)?0x4:0x3 */
break;
case FPU_CSR_RU: /* toward +Infinity */
if (!sn) /* ?? */
xm += 0x8;
break;
case FPU_CSR_RD: /* toward -Infinity */
if (sn) /* ?? */
xm += 0x8;
break;
}
}
return xm;
}
/* generate a normal/denormal number with over,under handling
* sn is sign
* xe is an unbiased exponent
* xm is 3bit extended precision value.
*/
union ieee754sp ieee754sp_format(int sn, int xe, unsigned int xm)
{
assert(xm); /* we don't gen exact zeros (probably should) */
assert((xm >> (SP_FBITS + 1 + 3)) == 0); /* no excess */
assert(xm & (SP_HIDDEN_BIT << 3));
if (xe < SP_EMIN) {
/* strip lower bits */
int es = SP_EMIN - xe;
if (ieee754_csr.nod) {
ieee754_setcx(IEEE754_UNDERFLOW);
ieee754_setcx(IEEE754_INEXACT);
switch(ieee754_csr.rm) {
case FPU_CSR_RN:
case FPU_CSR_RZ:
return ieee754sp_zero(sn);
case FPU_CSR_RU: /* toward +Infinity */
if (sn == 0)
return ieee754sp_min(0);
else
return ieee754sp_zero(1);
case FPU_CSR_RD: /* toward -Infinity */
if (sn == 0)
return ieee754sp_zero(0);
else
return ieee754sp_min(1);
}
}
if (xe == SP_EMIN - 1 &&
ieee754sp_get_rounding(sn, xm) >> (SP_FBITS + 1 + 3))
{
/* Not tiny after rounding */
ieee754_setcx(IEEE754_INEXACT);
xm = ieee754sp_get_rounding(sn, xm);
xm >>= 1;
/* Clear grs bits */
xm &= ~(SP_MBIT(3) - 1);
xe++;
} else {
/* sticky right shift es bits
*/
xm = XSPSRS(xm, es);
xe += es;
assert((xm & (SP_HIDDEN_BIT << 3)) == 0);
assert(xe == SP_EMIN);
}
}
if (xm & (SP_MBIT(3) - 1)) {
ieee754_setcx(IEEE754_INEXACT);
if ((xm & (SP_HIDDEN_BIT << 3)) == 0) {
ieee754_setcx(IEEE754_UNDERFLOW);
}
/* inexact must round of 3 bits
*/
xm = ieee754sp_get_rounding(sn, xm);
/* adjust exponent for rounding add overflowing
*/
if (xm >> (SP_FBITS + 1 + 3)) {
/* add causes mantissa overflow */
xm >>= 1;
xe++;
}
}
/* strip grs bits */
xm >>= 3;
assert((xm >> (SP_FBITS + 1)) == 0); /* no excess */
assert(xe >= SP_EMIN);
if (xe > SP_EMAX) {
ieee754_setcx(IEEE754_OVERFLOW);
ieee754_setcx(IEEE754_INEXACT);
/* -O can be table indexed by (rm,sn) */
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
return ieee754sp_inf(sn);
case FPU_CSR_RZ:
return ieee754sp_max(sn);
case FPU_CSR_RU: /* toward +Infinity */
if (sn == 0)
return ieee754sp_inf(0);
else
return ieee754sp_max(1);
case FPU_CSR_RD: /* toward -Infinity */
if (sn == 0)
return ieee754sp_max(0);
else
return ieee754sp_inf(1);
}
}
/* gen norm/denorm/zero */
if ((xm & SP_HIDDEN_BIT) == 0) {
/* we underflow (tiny/zero) */
assert(xe == SP_EMIN);
if (ieee754_csr.mx & IEEE754_UNDERFLOW)
ieee754_setcx(IEEE754_UNDERFLOW);
return buildsp(sn, SP_EMIN - 1 + SP_EBIAS, xm);
} else {
assert((xm >> (SP_FBITS + 1)) == 0); /* no excess */
assert(xm & SP_HIDDEN_BIT);
return buildsp(sn, xe + SP_EBIAS, xm & ~SP_HIDDEN_BIT);
}
}
@@ -0,0 +1,77 @@
/* SPDX-License-Identifier: GPL-2.0-only */
/*
* IEEE754 floating point
* double precision internal header file
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include <linux/compiler.h>
#include "ieee754int.h"
#define assert(expr) ((void)0)
#define SP_EBIAS 127
#define SP_EMIN (-126)
#define SP_EMAX 127
#define SP_FBITS 23
#define SP_MBITS 23
#define SP_MBIT(x) ((u32)1 << (x))
#define SP_HIDDEN_BIT SP_MBIT(SP_FBITS)
#define SP_SIGN_BIT SP_MBIT(31)
#define SPSIGN(sp) (sp.sign)
#define SPBEXP(sp) (sp.bexp)
#define SPMANT(sp) (sp.mant)
static inline int ieee754sp_finite(union ieee754sp x)
{
return SPBEXP(x) != SP_EMAX + 1 + SP_EBIAS;
}
/* 64 bit right shift with rounding */
#define XSPSRS64(v, rs) \
(((rs) >= 64) ? ((v) != 0) : ((v) >> (rs)) | ((v) << (64-(rs)) != 0))
/* 3bit extended single precision sticky right shift */
#define XSPSRS(v, rs) \
((rs > (SP_FBITS+3))?1:((v) >> (rs)) | ((v) << (32-(rs)) != 0))
#define XSPSRS1(m) \
((m >> 1) | (m & 1))
#define SPXSRSX1() \
(xe++, (xm = XSPSRS1(xm)))
#define SPXSRSY1() \
(ye++, (ym = XSPSRS1(ym)))
/* convert denormal to normalized with extended exponent */
#define SPDNORMx(m,e) \
while ((m >> SP_FBITS) == 0) { m <<= 1; e--; }
#define SPDNORMX SPDNORMx(xm, xe)
#define SPDNORMY SPDNORMx(ym, ye)
#define SPDNORMZ SPDNORMx(zm, ze)
static inline union ieee754sp buildsp(int s, int bx, unsigned int m)
{
union ieee754sp r;
assert((s) == 0 || (s) == 1);
assert((bx) >= SP_EMIN - 1 + SP_EBIAS
&& (bx) <= SP_EMAX + 1 + SP_EBIAS);
assert(((m) >> SP_FBITS) == 0);
r.sign = s;
r.bexp = bx;
r.mant = m;
return r;
}
extern union ieee754sp __cold ieee754sp_nanxcpt(union ieee754sp);
extern union ieee754sp ieee754sp_format(int, int, unsigned);
+353
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@@ -0,0 +1,353 @@
// SPDX-License-Identifier: GPL-2.0
#include <linux/cpumask.h>
#include <linux/debugfs.h>
#include <linux/fs.h>
#include <linux/init.h>
#include <linux/percpu.h>
#include <linux/types.h>
#include <asm/debug.h>
#include <asm/fpu_emulator.h>
#include <asm/local.h>
DEFINE_PER_CPU(struct mips_fpu_emulator_stats, fpuemustats);
static int fpuemu_stat_get(void *data, u64 *val)
{
int cpu;
unsigned long sum = 0;
for_each_online_cpu(cpu) {
struct mips_fpu_emulator_stats *ps;
local_t *pv;
ps = &per_cpu(fpuemustats, cpu);
pv = (void *)ps + (unsigned long)data;
sum += local_read(pv);
}
*val = sum;
return 0;
}
DEFINE_SIMPLE_ATTRIBUTE(fops_fpuemu_stat, fpuemu_stat_get, NULL, "%llu\n");
/*
* Used to obtain names for a debugfs instruction counter, given field name
* in fpuemustats structure. For example, for input "cmp_sueq_d", the output
* would be "cmp.sueq.d". This is needed since dots are not allowed to be
* used in structure field names, and are, on the other hand, desired to be
* used in debugfs item names to be clearly associated to corresponding
* MIPS FPU instructions.
*/
static void adjust_instruction_counter_name(char *out_name, char *in_name, size_t len)
{
int i = 0;
strscpy(out_name, in_name, len);
while (in_name[i] != '\0') {
if (out_name[i] == '_')
out_name[i] = '.';
i++;
}
}
static int fpuemustats_clear_show(struct seq_file *s, void *unused)
{
__this_cpu_write((fpuemustats).emulated, 0);
__this_cpu_write((fpuemustats).loads, 0);
__this_cpu_write((fpuemustats).stores, 0);
__this_cpu_write((fpuemustats).branches, 0);
__this_cpu_write((fpuemustats).cp1ops, 0);
__this_cpu_write((fpuemustats).cp1xops, 0);
__this_cpu_write((fpuemustats).errors, 0);
__this_cpu_write((fpuemustats).ieee754_inexact, 0);
__this_cpu_write((fpuemustats).ieee754_underflow, 0);
__this_cpu_write((fpuemustats).ieee754_overflow, 0);
__this_cpu_write((fpuemustats).ieee754_zerodiv, 0);
__this_cpu_write((fpuemustats).ieee754_invalidop, 0);
__this_cpu_write((fpuemustats).ds_emul, 0);
__this_cpu_write((fpuemustats).abs_s, 0);
__this_cpu_write((fpuemustats).abs_d, 0);
__this_cpu_write((fpuemustats).add_s, 0);
__this_cpu_write((fpuemustats).add_d, 0);
__this_cpu_write((fpuemustats).bc1eqz, 0);
__this_cpu_write((fpuemustats).bc1nez, 0);
__this_cpu_write((fpuemustats).ceil_w_s, 0);
__this_cpu_write((fpuemustats).ceil_w_d, 0);
__this_cpu_write((fpuemustats).ceil_l_s, 0);
__this_cpu_write((fpuemustats).ceil_l_d, 0);
__this_cpu_write((fpuemustats).class_s, 0);
__this_cpu_write((fpuemustats).class_d, 0);
__this_cpu_write((fpuemustats).cmp_af_s, 0);
__this_cpu_write((fpuemustats).cmp_af_d, 0);
__this_cpu_write((fpuemustats).cmp_eq_s, 0);
__this_cpu_write((fpuemustats).cmp_eq_d, 0);
__this_cpu_write((fpuemustats).cmp_le_s, 0);
__this_cpu_write((fpuemustats).cmp_le_d, 0);
__this_cpu_write((fpuemustats).cmp_lt_s, 0);
__this_cpu_write((fpuemustats).cmp_lt_d, 0);
__this_cpu_write((fpuemustats).cmp_ne_s, 0);
__this_cpu_write((fpuemustats).cmp_ne_d, 0);
__this_cpu_write((fpuemustats).cmp_or_s, 0);
__this_cpu_write((fpuemustats).cmp_or_d, 0);
__this_cpu_write((fpuemustats).cmp_ueq_s, 0);
__this_cpu_write((fpuemustats).cmp_ueq_d, 0);
__this_cpu_write((fpuemustats).cmp_ule_s, 0);
__this_cpu_write((fpuemustats).cmp_ule_d, 0);
__this_cpu_write((fpuemustats).cmp_ult_s, 0);
__this_cpu_write((fpuemustats).cmp_ult_d, 0);
__this_cpu_write((fpuemustats).cmp_un_s, 0);
__this_cpu_write((fpuemustats).cmp_un_d, 0);
__this_cpu_write((fpuemustats).cmp_une_s, 0);
__this_cpu_write((fpuemustats).cmp_une_d, 0);
__this_cpu_write((fpuemustats).cmp_saf_s, 0);
__this_cpu_write((fpuemustats).cmp_saf_d, 0);
__this_cpu_write((fpuemustats).cmp_seq_s, 0);
__this_cpu_write((fpuemustats).cmp_seq_d, 0);
__this_cpu_write((fpuemustats).cmp_sle_s, 0);
__this_cpu_write((fpuemustats).cmp_sle_d, 0);
__this_cpu_write((fpuemustats).cmp_slt_s, 0);
__this_cpu_write((fpuemustats).cmp_slt_d, 0);
__this_cpu_write((fpuemustats).cmp_sne_s, 0);
__this_cpu_write((fpuemustats).cmp_sne_d, 0);
__this_cpu_write((fpuemustats).cmp_sor_s, 0);
__this_cpu_write((fpuemustats).cmp_sor_d, 0);
__this_cpu_write((fpuemustats).cmp_sueq_s, 0);
__this_cpu_write((fpuemustats).cmp_sueq_d, 0);
__this_cpu_write((fpuemustats).cmp_sule_s, 0);
__this_cpu_write((fpuemustats).cmp_sule_d, 0);
__this_cpu_write((fpuemustats).cmp_sult_s, 0);
__this_cpu_write((fpuemustats).cmp_sult_d, 0);
__this_cpu_write((fpuemustats).cmp_sun_s, 0);
__this_cpu_write((fpuemustats).cmp_sun_d, 0);
__this_cpu_write((fpuemustats).cmp_sune_s, 0);
__this_cpu_write((fpuemustats).cmp_sune_d, 0);
__this_cpu_write((fpuemustats).cvt_d_l, 0);
__this_cpu_write((fpuemustats).cvt_d_s, 0);
__this_cpu_write((fpuemustats).cvt_d_w, 0);
__this_cpu_write((fpuemustats).cvt_l_s, 0);
__this_cpu_write((fpuemustats).cvt_l_d, 0);
__this_cpu_write((fpuemustats).cvt_s_d, 0);
__this_cpu_write((fpuemustats).cvt_s_l, 0);
__this_cpu_write((fpuemustats).cvt_s_w, 0);
__this_cpu_write((fpuemustats).cvt_w_s, 0);
__this_cpu_write((fpuemustats).cvt_w_d, 0);
__this_cpu_write((fpuemustats).div_s, 0);
__this_cpu_write((fpuemustats).div_d, 0);
__this_cpu_write((fpuemustats).floor_w_s, 0);
__this_cpu_write((fpuemustats).floor_w_d, 0);
__this_cpu_write((fpuemustats).floor_l_s, 0);
__this_cpu_write((fpuemustats).floor_l_d, 0);
__this_cpu_write((fpuemustats).maddf_s, 0);
__this_cpu_write((fpuemustats).maddf_d, 0);
__this_cpu_write((fpuemustats).max_s, 0);
__this_cpu_write((fpuemustats).max_d, 0);
__this_cpu_write((fpuemustats).maxa_s, 0);
__this_cpu_write((fpuemustats).maxa_d, 0);
__this_cpu_write((fpuemustats).min_s, 0);
__this_cpu_write((fpuemustats).min_d, 0);
__this_cpu_write((fpuemustats).mina_s, 0);
__this_cpu_write((fpuemustats).mina_d, 0);
__this_cpu_write((fpuemustats).mov_s, 0);
__this_cpu_write((fpuemustats).mov_d, 0);
__this_cpu_write((fpuemustats).msubf_s, 0);
__this_cpu_write((fpuemustats).msubf_d, 0);
__this_cpu_write((fpuemustats).mul_s, 0);
__this_cpu_write((fpuemustats).mul_d, 0);
__this_cpu_write((fpuemustats).neg_s, 0);
__this_cpu_write((fpuemustats).neg_d, 0);
__this_cpu_write((fpuemustats).recip_s, 0);
__this_cpu_write((fpuemustats).recip_d, 0);
__this_cpu_write((fpuemustats).rint_s, 0);
__this_cpu_write((fpuemustats).rint_d, 0);
__this_cpu_write((fpuemustats).round_w_s, 0);
__this_cpu_write((fpuemustats).round_w_d, 0);
__this_cpu_write((fpuemustats).round_l_s, 0);
__this_cpu_write((fpuemustats).round_l_d, 0);
__this_cpu_write((fpuemustats).rsqrt_s, 0);
__this_cpu_write((fpuemustats).rsqrt_d, 0);
__this_cpu_write((fpuemustats).sel_s, 0);
__this_cpu_write((fpuemustats).sel_d, 0);
__this_cpu_write((fpuemustats).seleqz_s, 0);
__this_cpu_write((fpuemustats).seleqz_d, 0);
__this_cpu_write((fpuemustats).selnez_s, 0);
__this_cpu_write((fpuemustats).selnez_d, 0);
__this_cpu_write((fpuemustats).sqrt_s, 0);
__this_cpu_write((fpuemustats).sqrt_d, 0);
__this_cpu_write((fpuemustats).sub_s, 0);
__this_cpu_write((fpuemustats).sub_d, 0);
__this_cpu_write((fpuemustats).trunc_w_s, 0);
__this_cpu_write((fpuemustats).trunc_w_d, 0);
__this_cpu_write((fpuemustats).trunc_l_s, 0);
__this_cpu_write((fpuemustats).trunc_l_d, 0);
return 0;
}
DEFINE_SHOW_ATTRIBUTE(fpuemustats_clear);
static int __init debugfs_fpuemu(void)
{
struct dentry *fpuemu_debugfs_base_dir;
struct dentry *fpuemu_debugfs_inst_dir;
char name[32];
fpuemu_debugfs_base_dir = debugfs_create_dir("fpuemustats",
mips_debugfs_dir);
debugfs_create_file("fpuemustats_clear", 0444, mips_debugfs_dir, NULL,
&fpuemustats_clear_fops);
#define FPU_EMU_STAT_OFFSET(m) \
offsetof(struct mips_fpu_emulator_stats, m)
#define FPU_STAT_CREATE(m) \
do { \
debugfs_create_file(#m, 0444, fpuemu_debugfs_base_dir, \
(void *)FPU_EMU_STAT_OFFSET(m), \
&fops_fpuemu_stat); \
} while (0)
FPU_STAT_CREATE(emulated);
FPU_STAT_CREATE(loads);
FPU_STAT_CREATE(stores);
FPU_STAT_CREATE(branches);
FPU_STAT_CREATE(cp1ops);
FPU_STAT_CREATE(cp1xops);
FPU_STAT_CREATE(errors);
FPU_STAT_CREATE(ieee754_inexact);
FPU_STAT_CREATE(ieee754_underflow);
FPU_STAT_CREATE(ieee754_overflow);
FPU_STAT_CREATE(ieee754_zerodiv);
FPU_STAT_CREATE(ieee754_invalidop);
FPU_STAT_CREATE(ds_emul);
fpuemu_debugfs_inst_dir = debugfs_create_dir("instructions",
fpuemu_debugfs_base_dir);
#define FPU_STAT_CREATE_EX(m) \
do { \
adjust_instruction_counter_name(name, #m, sizeof(name)); \
\
debugfs_create_file(name, 0444, fpuemu_debugfs_inst_dir, \
(void *)FPU_EMU_STAT_OFFSET(m), \
&fops_fpuemu_stat); \
} while (0)
FPU_STAT_CREATE_EX(abs_s);
FPU_STAT_CREATE_EX(abs_d);
FPU_STAT_CREATE_EX(add_s);
FPU_STAT_CREATE_EX(add_d);
FPU_STAT_CREATE_EX(bc1eqz);
FPU_STAT_CREATE_EX(bc1nez);
FPU_STAT_CREATE_EX(ceil_w_s);
FPU_STAT_CREATE_EX(ceil_w_d);
FPU_STAT_CREATE_EX(ceil_l_s);
FPU_STAT_CREATE_EX(ceil_l_d);
FPU_STAT_CREATE_EX(class_s);
FPU_STAT_CREATE_EX(class_d);
FPU_STAT_CREATE_EX(cmp_af_s);
FPU_STAT_CREATE_EX(cmp_af_d);
FPU_STAT_CREATE_EX(cmp_eq_s);
FPU_STAT_CREATE_EX(cmp_eq_d);
FPU_STAT_CREATE_EX(cmp_le_s);
FPU_STAT_CREATE_EX(cmp_le_d);
FPU_STAT_CREATE_EX(cmp_lt_s);
FPU_STAT_CREATE_EX(cmp_lt_d);
FPU_STAT_CREATE_EX(cmp_ne_s);
FPU_STAT_CREATE_EX(cmp_ne_d);
FPU_STAT_CREATE_EX(cmp_or_s);
FPU_STAT_CREATE_EX(cmp_or_d);
FPU_STAT_CREATE_EX(cmp_ueq_s);
FPU_STAT_CREATE_EX(cmp_ueq_d);
FPU_STAT_CREATE_EX(cmp_ule_s);
FPU_STAT_CREATE_EX(cmp_ule_d);
FPU_STAT_CREATE_EX(cmp_ult_s);
FPU_STAT_CREATE_EX(cmp_ult_d);
FPU_STAT_CREATE_EX(cmp_un_s);
FPU_STAT_CREATE_EX(cmp_un_d);
FPU_STAT_CREATE_EX(cmp_une_s);
FPU_STAT_CREATE_EX(cmp_une_d);
FPU_STAT_CREATE_EX(cmp_saf_s);
FPU_STAT_CREATE_EX(cmp_saf_d);
FPU_STAT_CREATE_EX(cmp_seq_s);
FPU_STAT_CREATE_EX(cmp_seq_d);
FPU_STAT_CREATE_EX(cmp_sle_s);
FPU_STAT_CREATE_EX(cmp_sle_d);
FPU_STAT_CREATE_EX(cmp_slt_s);
FPU_STAT_CREATE_EX(cmp_slt_d);
FPU_STAT_CREATE_EX(cmp_sne_s);
FPU_STAT_CREATE_EX(cmp_sne_d);
FPU_STAT_CREATE_EX(cmp_sor_s);
FPU_STAT_CREATE_EX(cmp_sor_d);
FPU_STAT_CREATE_EX(cmp_sueq_s);
FPU_STAT_CREATE_EX(cmp_sueq_d);
FPU_STAT_CREATE_EX(cmp_sule_s);
FPU_STAT_CREATE_EX(cmp_sule_d);
FPU_STAT_CREATE_EX(cmp_sult_s);
FPU_STAT_CREATE_EX(cmp_sult_d);
FPU_STAT_CREATE_EX(cmp_sun_s);
FPU_STAT_CREATE_EX(cmp_sun_d);
FPU_STAT_CREATE_EX(cmp_sune_s);
FPU_STAT_CREATE_EX(cmp_sune_d);
FPU_STAT_CREATE_EX(cvt_d_l);
FPU_STAT_CREATE_EX(cvt_d_s);
FPU_STAT_CREATE_EX(cvt_d_w);
FPU_STAT_CREATE_EX(cvt_l_s);
FPU_STAT_CREATE_EX(cvt_l_d);
FPU_STAT_CREATE_EX(cvt_s_d);
FPU_STAT_CREATE_EX(cvt_s_l);
FPU_STAT_CREATE_EX(cvt_s_w);
FPU_STAT_CREATE_EX(cvt_w_s);
FPU_STAT_CREATE_EX(cvt_w_d);
FPU_STAT_CREATE_EX(div_s);
FPU_STAT_CREATE_EX(div_d);
FPU_STAT_CREATE_EX(floor_w_s);
FPU_STAT_CREATE_EX(floor_w_d);
FPU_STAT_CREATE_EX(floor_l_s);
FPU_STAT_CREATE_EX(floor_l_d);
FPU_STAT_CREATE_EX(maddf_s);
FPU_STAT_CREATE_EX(maddf_d);
FPU_STAT_CREATE_EX(max_s);
FPU_STAT_CREATE_EX(max_d);
FPU_STAT_CREATE_EX(maxa_s);
FPU_STAT_CREATE_EX(maxa_d);
FPU_STAT_CREATE_EX(min_s);
FPU_STAT_CREATE_EX(min_d);
FPU_STAT_CREATE_EX(mina_s);
FPU_STAT_CREATE_EX(mina_d);
FPU_STAT_CREATE_EX(mov_s);
FPU_STAT_CREATE_EX(mov_d);
FPU_STAT_CREATE_EX(msubf_s);
FPU_STAT_CREATE_EX(msubf_d);
FPU_STAT_CREATE_EX(mul_s);
FPU_STAT_CREATE_EX(mul_d);
FPU_STAT_CREATE_EX(neg_s);
FPU_STAT_CREATE_EX(neg_d);
FPU_STAT_CREATE_EX(recip_s);
FPU_STAT_CREATE_EX(recip_d);
FPU_STAT_CREATE_EX(rint_s);
FPU_STAT_CREATE_EX(rint_d);
FPU_STAT_CREATE_EX(round_w_s);
FPU_STAT_CREATE_EX(round_w_d);
FPU_STAT_CREATE_EX(round_l_s);
FPU_STAT_CREATE_EX(round_l_d);
FPU_STAT_CREATE_EX(rsqrt_s);
FPU_STAT_CREATE_EX(rsqrt_d);
FPU_STAT_CREATE_EX(sel_s);
FPU_STAT_CREATE_EX(sel_d);
FPU_STAT_CREATE_EX(seleqz_s);
FPU_STAT_CREATE_EX(seleqz_d);
FPU_STAT_CREATE_EX(selnez_s);
FPU_STAT_CREATE_EX(selnez_d);
FPU_STAT_CREATE_EX(sqrt_s);
FPU_STAT_CREATE_EX(sqrt_d);
FPU_STAT_CREATE_EX(sub_s);
FPU_STAT_CREATE_EX(sub_d);
FPU_STAT_CREATE_EX(trunc_w_s);
FPU_STAT_CREATE_EX(trunc_w_d);
FPU_STAT_CREATE_EX(trunc_l_s);
FPU_STAT_CREATE_EX(trunc_l_d);
return 0;
}
arch_initcall(debugfs_fpuemu);
@@ -0,0 +1,52 @@
// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* single precision: CLASS.f
* FPR[fd] = class(FPR[fs])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754sp.h"
int ieee754sp_2008class(union ieee754sp x)
{
COMPXSP;
EXPLODEXSP;
/*
* 10 bit mask as follows:
*
* bit0 = SNAN
* bit1 = QNAN
* bit2 = -INF
* bit3 = -NORM
* bit4 = -DNORM
* bit5 = -ZERO
* bit6 = INF
* bit7 = NORM
* bit8 = DNORM
* bit9 = ZERO
*/
switch(xc) {
case IEEE754_CLASS_SNAN:
return 0x01;
case IEEE754_CLASS_QNAN:
return 0x02;
case IEEE754_CLASS_INF:
return 0x04 << (xs ? 0 : 4);
case IEEE754_CLASS_NORM:
return 0x08 << (xs ? 0 : 4);
case IEEE754_CLASS_DNORM:
return 0x10 << (xs ? 0 : 4);
case IEEE754_CLASS_ZERO:
return 0x20 << (xs ? 0 : 4);
default:
pr_err("Unknown class: %d\n", xc);
return 0;
}
}
+164
View File
@@ -0,0 +1,164 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y)
{
int s;
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
ieee754_clearcx();
FLUSHXSP;
FLUSHYSP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if (xs == ys)
return x;
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
return y;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return x;
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
if (xs == ys)
return x;
else
return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return y;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/*
* Provide guard, round and stick bit space.
*/
xm <<= 3;
ym <<= 3;
if (xe > ye) {
/*
* Have to shift y fraction right to align.
*/
s = xe - ye;
ym = XSPSRS(ym, s);
ye += s;
} else if (ye > xe) {
/*
* Have to shift x fraction right to align.
*/
s = ye - xe;
xm = XSPSRS(xm, s);
xe += s;
}
assert(xe == ye);
assert(xe <= SP_EMAX);
if (xs == ys) {
/*
* Generate 28 bit result of adding two 27 bit numbers
* leaving result in xm, xs and xe.
*/
xm = xm + ym;
if (xm >> (SP_FBITS + 1 + 3)) { /* carry out */
SPXSRSX1();
}
} else {
if (xm >= ym) {
xm = xm - ym;
} else {
xm = ym - xm;
xs = ys;
}
if (xm == 0)
return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
/*
* Normalize in extended single precision
*/
while ((xm >> (SP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754sp_format(xs, xe, xm);
}
+47
View File
@@ -0,0 +1,47 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cmp, int sig)
{
int vx;
int vy;
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
FLUSHXSP;
FLUSHYSP;
ieee754_clearcx(); /* Even clear inexact flag here */
if (ieee754_class_nan(xc) || ieee754_class_nan(yc)) {
if (sig ||
xc == IEEE754_CLASS_SNAN || yc == IEEE754_CLASS_SNAN)
ieee754_setcx(IEEE754_INVALID_OPERATION);
return (cmp & IEEE754_CUN) != 0;
} else {
vx = x.bits;
vy = y.bits;
if (vx < 0)
vx = -vx ^ SP_SIGN_BIT;
if (vy < 0)
vy = -vy ^ SP_SIGN_BIT;
if (vx < vy)
return (cmp & IEEE754_CLT) != 0;
else if (vx == vy)
return (cmp & IEEE754_CEQ) != 0;
else
return (cmp & IEEE754_CGT) != 0;
}
}
+142
View File
@@ -0,0 +1,142 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y)
{
unsigned int rm;
int re;
unsigned int bm;
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
ieee754_clearcx();
FLUSHXSP;
FLUSHYSP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
return ieee754sp_zero(xs ^ ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return ieee754sp_inf(xs ^ ys);
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
ieee754_setcx(IEEE754_ZERO_DIVIDE);
return ieee754sp_inf(xs ^ ys);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ieee754sp_zero(xs == ys ? 0 : 1);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* provide rounding space */
xm <<= 3;
ym <<= 3;
/* now the dirty work */
rm = 0;
re = xe - ye;
for (bm = SP_MBIT(SP_FBITS + 2); bm; bm >>= 1) {
if (xm >= ym) {
xm -= ym;
rm |= bm;
if (xm == 0)
break;
}
xm <<= 1;
}
rm <<= 1;
if (xm)
rm |= 1; /* have remainder, set sticky */
assert(rm);
/* normalise rm to rounding precision ?
*/
while ((rm >> (SP_FBITS + 3)) == 0) {
rm <<= 1;
re--;
}
return ieee754sp_format(xs == ys ? 0 : 1, re, rm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
#include "ieee754dp.h"
static inline union ieee754sp ieee754sp_nan_fdp(int xs, u64 xm)
{
return buildsp(xs, SP_EMAX + 1 + SP_EBIAS,
xm >> (DP_FBITS - SP_FBITS));
}
union ieee754sp ieee754sp_fdp(union ieee754dp x)
{
union ieee754sp y;
u32 rm;
COMPXDP;
COMPYSP;
EXPLODEXDP;
ieee754_clearcx();
FLUSHXDP;
switch (xc) {
case IEEE754_CLASS_SNAN:
x = ieee754dp_nanxcpt(x);
EXPLODEXDP;
fallthrough;
case IEEE754_CLASS_QNAN:
y = ieee754sp_nan_fdp(xs, xm);
if (!ieee754_csr.nan2008) {
EXPLODEYSP;
if (!ieee754_class_nan(yc))
y = ieee754sp_indef();
}
return y;
case IEEE754_CLASS_INF:
return ieee754sp_inf(xs);
case IEEE754_CLASS_ZERO:
return ieee754sp_zero(xs);
case IEEE754_CLASS_DNORM:
/* can't possibly be sp representable */
ieee754_setcx(IEEE754_UNDERFLOW);
ieee754_setcx(IEEE754_INEXACT);
if ((ieee754_csr.rm == FPU_CSR_RU && !xs) ||
(ieee754_csr.rm == FPU_CSR_RD && xs))
return ieee754sp_mind(xs);
return ieee754sp_zero(xs);
case IEEE754_CLASS_NORM:
break;
}
/*
* Convert from DP_FBITS to SP_FBITS+3 with sticky right shift.
*/
rm = (xm >> (DP_FBITS - (SP_FBITS + 3))) |
((xm << (64 - (DP_FBITS - (SP_FBITS + 3)))) != 0);
return ieee754sp_format(xs, xe, rm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_fint(int x)
{
unsigned int xm;
int xe;
int xs;
ieee754_clearcx();
if (x == 0)
return ieee754sp_zero(0);
if (x == 1 || x == -1)
return ieee754sp_one(x < 0);
if (x == 10 || x == -10)
return ieee754sp_ten(x < 0);
xs = (x < 0);
if (xs) {
if (x == (1 << 31))
xm = ((unsigned) 1 << 31); /* max neg can't be safely negated */
else
xm = -x;
} else {
xm = x;
}
xe = SP_FBITS + 3;
if (xm >> (SP_FBITS + 1 + 3)) {
/* shunt out overflow bits
*/
while (xm >> (SP_FBITS + 1 + 3)) {
SPXSRSX1();
}
} else {
/* normalize in grs extended single precision
*/
while ((xm >> (SP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754sp_format(xs, xe, xm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_flong(s64 x)
{
u64 xm; /* <--- need 64-bit mantissa temp */
int xe;
int xs;
ieee754_clearcx();
if (x == 0)
return ieee754sp_zero(0);
if (x == 1 || x == -1)
return ieee754sp_one(x < 0);
if (x == 10 || x == -10)
return ieee754sp_ten(x < 0);
xs = (x < 0);
if (xs) {
if (x == (1ULL << 63))
xm = (1ULL << 63); /* max neg can't be safely negated */
else
xm = -x;
} else {
xm = x;
}
xe = SP_FBITS + 3;
if (xm >> (SP_FBITS + 1 + 3)) {
/* shunt out overflow bits
*/
while (xm >> (SP_FBITS + 1 + 3)) {
SPXSRSX1();
}
} else {
/* normalize in grs extended single precision */
while ((xm >> (SP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754sp_format(xs, xe, xm);
}
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* single precision: MAX{,A}.f
* MAX : Scalar Floating-Point Maximum
* MAXA: Scalar Floating-Point argument with Maximum Absolute Value
*
* MAX.S : FPR[fd] = maxNum(FPR[fs],FPR[ft])
* MAXA.S: FPR[fd] = maxNumMag(FPR[fs],FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_fmax(union ieee754sp x, union ieee754sp y)
{
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
FLUSHXSP;
FLUSHYSP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return xs ? y : x;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ys ? x : y;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754sp_zero(xs & ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
}
/* Finally get to do some computation */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* Compare signs */
if (xs > ys)
return y;
else if (xs < ys)
return x;
/* Signs of inputs are equal, let's compare exponents */
if (xs == 0) {
/* Inputs are both positive */
if (xe > ye)
return x;
else if (xe < ye)
return y;
} else {
/* Inputs are both negative */
if (xe > ye)
return y;
else if (xe < ye)
return x;
}
/* Signs and exponents of inputs are equal, let's compare mantissas */
if (xs == 0) {
/* Inputs are both positive, with equal signs and exponents */
if (xm <= ym)
return y;
return x;
}
/* Inputs are both negative, with equal signs and exponents */
if (xm <= ym)
return x;
return y;
}
union ieee754sp ieee754sp_fmaxa(union ieee754sp x, union ieee754sp y)
{
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
FLUSHXSP;
FLUSHYSP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754sp_inf(xs & ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return y;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754sp_zero(xs & ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
}
/* Finally get to do some computation */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* Compare exponent */
if (xe > ye)
return x;
else if (xe < ye)
return y;
/* Compare mantissa */
if (xm < ym)
return y;
else if (xm > ym)
return x;
else if (xs == 0)
return x;
return y;
}
+252
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* single precision: MIN{,A}.f
* MIN : Scalar Floating-Point Minimum
* MINA: Scalar Floating-Point argument with Minimum Absolute Value
*
* MIN.S : FPR[fd] = minNum(FPR[fs],FPR[ft])
* MINA.S: FPR[fd] = maxNumMag(FPR[fs],FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_fmin(union ieee754sp x, union ieee754sp y)
{
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
FLUSHXSP;
FLUSHYSP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return xs ? x : y;
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return ys ? y : x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754sp_zero(xs | ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
}
/* Finally get to do some computation */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* Compare signs */
if (xs > ys)
return x;
else if (xs < ys)
return y;
/* Signs of inputs are the same, let's compare exponents */
if (xs == 0) {
/* Inputs are both positive */
if (xe > ye)
return y;
else if (xe < ye)
return x;
} else {
/* Inputs are both negative */
if (xe > ye)
return x;
else if (xe < ye)
return y;
}
/* Signs and exponents of inputs are equal, let's compare mantissas */
if (xs == 0) {
/* Inputs are both positive, with equal signs and exponents */
if (xm <= ym)
return x;
return y;
}
/* Inputs are both negative, with equal signs and exponents */
if (xm <= ym)
return y;
return x;
}
union ieee754sp ieee754sp_fmina(union ieee754sp x, union ieee754sp y)
{
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
FLUSHXSP;
FLUSHYSP;
ieee754_clearcx();
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
/*
* Quiet NaN handling
*/
/*
* The case of both inputs quiet NaNs
*/
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
return x;
/*
* The cases of exactly one input quiet NaN (numbers
* are here preferred as returned values to NaNs)
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return x;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return y;
/*
* Infinity and zero handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754sp_inf(xs | ys);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return y;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
return ieee754sp_zero(xs | ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
}
/* Finally get to do some computation */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* Compare exponent */
if (xe > ye)
return y;
else if (xe < ye)
return x;
/* Compare mantissa */
if (xm < ym)
return x;
else if (xm > ym)
return y;
else if (xs == 1)
return x;
return y;
}
+278
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// SPDX-License-Identifier: GPL-2.0-only
/*
* IEEE754 floating point arithmetic
* single precision: MADDF.f (Fused Multiply Add)
* MADDF.fmt: FPR[fd] = FPR[fd] + (FPR[fs] x FPR[ft])
*
* MIPS floating point support
* Copyright (C) 2015 Imagination Technologies, Ltd.
* Author: Markos Chandras <markos.chandras@imgtec.com>
*/
#include "ieee754sp.h"
static union ieee754sp _sp_maddf(union ieee754sp z, union ieee754sp x,
union ieee754sp y, enum maddf_flags flags)
{
int re;
int rs;
unsigned int rm;
u64 rm64;
u64 zm64;
int s;
COMPXSP;
COMPYSP;
COMPZSP;
EXPLODEXSP;
EXPLODEYSP;
EXPLODEZSP;
FLUSHXSP;
FLUSHYSP;
FLUSHZSP;
ieee754_clearcx();
rs = xs ^ ys;
if (flags & MADDF_NEGATE_PRODUCT)
rs ^= 1;
if (flags & MADDF_NEGATE_ADDITION)
zs ^= 1;
/*
* Handle the cases when at least one of x, y or z is a NaN.
* Order of precedence is sNaN, qNaN and z, x, y.
*/
if (zc == IEEE754_CLASS_SNAN)
return ieee754sp_nanxcpt(z);
if (xc == IEEE754_CLASS_SNAN)
return ieee754sp_nanxcpt(x);
if (yc == IEEE754_CLASS_SNAN)
return ieee754sp_nanxcpt(y);
if (zc == IEEE754_CLASS_QNAN)
return z;
if (xc == IEEE754_CLASS_QNAN)
return x;
if (yc == IEEE754_CLASS_QNAN)
return y;
if (zc == IEEE754_CLASS_DNORM)
SPDNORMZ;
/* ZERO z cases are handled separately below */
switch (CLPAIR(xc, yc)) {
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if ((zc == IEEE754_CLASS_INF) && (zs != rs)) {
/*
* Cases of addition of infinities with opposite signs
* or subtraction of infinities with same signs.
*/
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
}
/*
* z is here either not an infinity, or an infinity having the
* same sign as product (x*y). The result must be an infinity,
* and its sign is determined only by the sign of product (x*y).
*/
return ieee754sp_inf(rs);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
if (zc == IEEE754_CLASS_INF)
return ieee754sp_inf(zs);
if (zc == IEEE754_CLASS_ZERO) {
/* Handle cases +0 + (-0) and similar ones. */
if (zs == rs)
/*
* Cases of addition of zeros of equal signs
* or subtraction of zeroes of opposite signs.
* The sign of the resulting zero is in any
* such case determined only by the sign of z.
*/
return z;
return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
}
/* x*y is here 0, and z is not 0, so just return z */
return z;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
if (zc == IEEE754_CLASS_INF)
return ieee754sp_inf(zs);
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
if (zc == IEEE754_CLASS_INF)
return ieee754sp_inf(zs);
SPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
if (zc == IEEE754_CLASS_INF)
return ieee754sp_inf(zs);
/* continue to real computations */
}
/* Finally get to do some computation */
/*
* Do the multiplication bit first
*
* rm = xm * ym, re = xe + ye basically
*
* At this point xm and ym should have been normalized.
*/
/* rm = xm * ym, re = xe+ye basically */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
re = xe + ye;
/* Multiple 24 bit xm and ym to give 48 bit results */
rm64 = (uint64_t)xm * ym;
/* Shunt to top of word */
rm64 = rm64 << 16;
/* Put explicit bit at bit 62 if necessary */
if ((int64_t) rm64 < 0) {
rm64 = rm64 >> 1;
re++;
}
assert(rm64 & (1 << 62));
if (zc == IEEE754_CLASS_ZERO) {
/*
* Move explicit bit from bit 62 to bit 26 since the
* ieee754sp_format code expects the mantissa to be
* 27 bits wide (24 + 3 rounding bits).
*/
rm = XSPSRS64(rm64, (62 - 26));
return ieee754sp_format(rs, re, rm);
}
/* Move explicit bit from bit 23 to bit 62 */
zm64 = (uint64_t)zm << (62 - 23);
assert(zm64 & (1 << 62));
/* Make the exponents the same */
if (ze > re) {
/*
* Have to shift r fraction right to align.
*/
s = ze - re;
rm64 = XSPSRS64(rm64, s);
re += s;
} else if (re > ze) {
/*
* Have to shift z fraction right to align.
*/
s = re - ze;
zm64 = XSPSRS64(zm64, s);
ze += s;
}
assert(ze == re);
assert(ze <= SP_EMAX);
/* Do the addition */
if (zs == rs) {
/*
* Generate 64 bit result by adding two 63 bit numbers
* leaving result in zm64, zs and ze.
*/
zm64 = zm64 + rm64;
if ((int64_t)zm64 < 0) { /* carry out */
zm64 = XSPSRS1(zm64);
ze++;
}
} else {
if (zm64 >= rm64) {
zm64 = zm64 - rm64;
} else {
zm64 = rm64 - zm64;
zs = rs;
}
if (zm64 == 0)
return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
/*
* Put explicit bit at bit 62 if necessary.
*/
while ((zm64 >> 62) == 0) {
zm64 <<= 1;
ze--;
}
}
/*
* Move explicit bit from bit 62 to bit 26 since the
* ieee754sp_format code expects the mantissa to be
* 27 bits wide (24 + 3 rounding bits).
*/
zm = XSPSRS64(zm64, (62 - 26));
return ieee754sp_format(zs, ze, zm);
}
union ieee754sp ieee754sp_maddf(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, 0);
}
union ieee754sp ieee754sp_msubf(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, MADDF_NEGATE_PRODUCT);
}
union ieee754sp ieee754sp_madd(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, 0);
}
union ieee754sp ieee754sp_msub(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, MADDF_NEGATE_ADDITION);
}
union ieee754sp ieee754sp_nmadd(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, MADDF_NEGATE_PRODUCT|MADDF_NEGATE_ADDITION);
}
union ieee754sp ieee754sp_nmsub(union ieee754sp z, union ieee754sp x,
union ieee754sp y)
{
return _sp_maddf(z, x, y, MADDF_NEGATE_PRODUCT);
}
+154
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y)
{
int re;
int rs;
unsigned int rm;
unsigned short lxm;
unsigned short hxm;
unsigned short lym;
unsigned short hym;
unsigned int lrm;
unsigned int hrm;
unsigned int t;
unsigned int at;
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
ieee754_clearcx();
FLUSHXSP;
FLUSHYSP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
return ieee754sp_inf(xs ^ ys);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return ieee754sp_zero(xs ^ ys);
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
/* rm = xm * ym, re = xe+ye basically */
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
re = xe + ye;
rs = xs ^ ys;
/* shunt to top of word */
xm <<= 32 - (SP_FBITS + 1);
ym <<= 32 - (SP_FBITS + 1);
/*
* Multiply 32 bits xm, ym to give high 32 bits rm with stickness.
*/
lxm = xm & 0xffff;
hxm = xm >> 16;
lym = ym & 0xffff;
hym = ym >> 16;
lrm = lxm * lym; /* 16 * 16 => 32 */
hrm = hxm * hym; /* 16 * 16 => 32 */
t = lxm * hym; /* 16 * 16 => 32 */
at = lrm + (t << 16);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 16);
t = hxm * lym; /* 16 * 16 => 32 */
at = lrm + (t << 16);
hrm += at < lrm;
lrm = at;
hrm = hrm + (t >> 16);
rm = hrm | (lrm != 0);
/*
* Sticky shift down to normal rounding precision.
*/
if ((int) rm < 0) {
rm = (rm >> (32 - (SP_FBITS + 1 + 3))) |
((rm << (SP_FBITS + 1 + 3)) != 0);
re++;
} else {
rm = (rm >> (32 - (SP_FBITS + 1 + 3 + 1))) |
((rm << (SP_FBITS + 1 + 3 + 1)) != 0);
}
assert(rm & (SP_HIDDEN_BIT << 3));
return ieee754sp_format(rs, re, rm);
}
+79
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
* Copyright (C) 2017 Imagination Technologies, Ltd.
* Author: Aleksandar Markovic <aleksandar.markovic@imgtec.com>
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_rint(union ieee754sp x)
{
union ieee754sp ret;
u32 residue;
int sticky;
int round;
int odd;
COMPXDP; /* <-- DP needed for 64-bit mantissa tmp */
ieee754_clearcx();
EXPLODEXSP;
FLUSHXSP;
if (xc == IEEE754_CLASS_SNAN)
return ieee754sp_nanxcpt(x);
if ((xc == IEEE754_CLASS_QNAN) ||
(xc == IEEE754_CLASS_INF) ||
(xc == IEEE754_CLASS_ZERO))
return x;
if (xe >= SP_FBITS)
return x;
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
residue = xm << (xe + 1);
residue <<= 31 - SP_FBITS;
round = (residue >> 31) != 0;
sticky = (residue << 1) != 0;
xm >>= SP_FBITS - xe;
}
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN: /* toward nearest */
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ: /* toward zero */
break;
case FPU_CSR_RU: /* toward +infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -infinity */
if ((round || sticky) && xs)
xm++;
break;
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
ret = ieee754sp_flong(xm);
SPSIGN(ret) = xs;
return ret;
}
@@ -0,0 +1,49 @@
// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_neg(union ieee754sp x)
{
union ieee754sp y;
if (ieee754_csr.abs2008) {
y = x;
SPSIGN(y) = !SPSIGN(x);
} else {
unsigned int oldrm;
oldrm = ieee754_csr.rm;
ieee754_csr.rm = FPU_CSR_RD;
y = ieee754sp_sub(ieee754sp_zero(0), x);
ieee754_csr.rm = oldrm;
}
return y;
}
union ieee754sp ieee754sp_abs(union ieee754sp x)
{
union ieee754sp y;
if (ieee754_csr.abs2008) {
y = x;
SPSIGN(y) = 0;
} else {
unsigned int oldrm;
oldrm = ieee754_csr.rm;
ieee754_csr.rm = FPU_CSR_RD;
if (SPSIGN(x))
y = ieee754sp_sub(ieee754sp_zero(0), x);
else
y = ieee754sp_add(ieee754sp_zero(0), x);
ieee754_csr.rm = oldrm;
}
return y;
}
+103
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision square root
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_sqrt(union ieee754sp x)
{
int ix, s, q, m, t, i;
unsigned int r;
COMPXSP;
/* take care of Inf and NaN */
EXPLODEXSP;
ieee754_clearcx();
FLUSHXSP;
/* x == INF or NAN? */
switch (xc) {
case IEEE754_CLASS_SNAN:
return ieee754sp_nanxcpt(x);
case IEEE754_CLASS_QNAN:
/* sqrt(Nan) = Nan */
return x;
case IEEE754_CLASS_ZERO:
/* sqrt(0) = 0 */
return x;
case IEEE754_CLASS_INF:
if (xs) {
/* sqrt(-Inf) = Nan */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
}
/* sqrt(+Inf) = Inf */
return x;
case IEEE754_CLASS_DNORM:
case IEEE754_CLASS_NORM:
if (xs) {
/* sqrt(-x) = Nan */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
}
break;
}
ix = x.bits;
/* normalize x */
m = (ix >> 23);
if (m == 0) { /* subnormal x */
for (i = 0; (ix & 0x00800000) == 0; i++)
ix <<= 1;
m -= i - 1;
}
m -= 127; /* unbias exponent */
ix = (ix & 0x007fffff) | 0x00800000;
if (m & 1) /* odd m, double x to make it even */
ix += ix;
m >>= 1; /* m = [m/2] */
/* generate sqrt(x) bit by bit */
ix += ix;
s = 0;
q = 0; /* q = sqrt(x) */
r = 0x01000000; /* r = moving bit from right to left */
while (r != 0) {
t = s + r;
if (t <= ix) {
s = t + r;
ix -= t;
q += r;
}
ix += ix;
r >>= 1;
}
if (ix != 0) {
ieee754_setcx(IEEE754_INEXACT);
switch (ieee754_csr.rm) {
case FPU_CSR_RU:
q += 2;
break;
case FPU_CSR_RN:
q += (q & 1);
break;
}
}
ix = (q >> 1) + 0x3f000000;
ix += (m << 23);
x.bits = ix;
return x;
}
+168
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y)
{
int s;
COMPXSP;
COMPYSP;
EXPLODEXSP;
EXPLODEYSP;
ieee754_clearcx();
FLUSHXSP;
FLUSHYSP;
switch (CLPAIR(xc, yc)) {
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
return ieee754sp_nanxcpt(y);
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
return ieee754sp_nanxcpt(x);
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
return y;
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
return x;
/*
* Infinity handling
*/
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
if (xs != ys)
return x;
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754sp_indef();
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
return ieee754sp_inf(ys ^ 1);
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
return x;
/*
* Zero handling
*/
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
if (xs != ys)
return x;
else
return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
return x;
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
/* quick fix up */
SPSIGN(y) ^= 1;
return y;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
SPDNORMX;
fallthrough;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
SPDNORMY;
break;
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
SPDNORMX;
break;
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
break;
}
/* flip sign of y and handle as add */
ys ^= 1;
assert(xm & SP_HIDDEN_BIT);
assert(ym & SP_HIDDEN_BIT);
/* provide guard,round and stick bit space */
xm <<= 3;
ym <<= 3;
if (xe > ye) {
/*
* have to shift y fraction right to align
*/
s = xe - ye;
ym = XSPSRS(ym, s);
ye += s;
} else if (ye > xe) {
/*
* have to shift x fraction right to align
*/
s = ye - xe;
xm = XSPSRS(xm, s);
xe += s;
}
assert(xe == ye);
assert(xe <= SP_EMAX);
if (xs == ys) {
/* generate 28 bit result of adding two 27 bit numbers
*/
xm = xm + ym;
if (xm >> (SP_FBITS + 1 + 3)) { /* carry out */
SPXSRSX1(); /* shift preserving sticky */
}
} else {
if (xm >= ym) {
xm = xm - ym;
} else {
xm = ym - xm;
xs = ys;
}
if (xm == 0) {
if (ieee754_csr.rm == FPU_CSR_RD)
return ieee754sp_zero(1); /* round negative inf. => sign = -1 */
else
return ieee754sp_zero(0); /* other round modes => sign = 1 */
}
/* normalize to rounding precision
*/
while ((xm >> (SP_FBITS + 3)) == 0) {
xm <<= 1;
xe--;
}
}
return ieee754sp_format(xs, xe, xm);
}
+100
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
int ieee754sp_tint(union ieee754sp x)
{
u32 residue;
int round;
int sticky;
int odd;
COMPXSP;
ieee754_clearcx();
EXPLODEXSP;
FLUSHXSP;
switch (xc) {
case IEEE754_CLASS_SNAN:
case IEEE754_CLASS_QNAN:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_indef();
case IEEE754_CLASS_INF:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
case IEEE754_CLASS_ZERO:
return 0;
case IEEE754_CLASS_DNORM:
case IEEE754_CLASS_NORM:
break;
}
if (xe >= 31) {
/* look for valid corner case */
if (xe == 31 && xs && xm == SP_HIDDEN_BIT)
return -0x80000000;
/* Set invalid. We will only use overflow for floating
point overflow */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
}
/* oh gawd */
if (xe > SP_FBITS) {
xm <<= xe - SP_FBITS;
} else {
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
/* Shifting a u32 32 times does not work,
* so we do it in two steps. Be aware that xe
* may be -1 */
residue = xm << (xe + 1);
residue <<= 31 - SP_FBITS;
round = (residue >> 31) != 0;
sticky = (residue << 1) != 0;
xm >>= SP_FBITS - xe;
}
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ:
break;
case FPU_CSR_RU: /* toward +Infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -Infinity */
if ((round || sticky) && xs)
xm++;
break;
}
if ((xm >> 31) != 0) {
/* This can happen after rounding */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754si_overflow(xs);
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
}
if (xs)
return -xm;
else
return xm;
}
+96
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// SPDX-License-Identifier: GPL-2.0-only
/* IEEE754 floating point arithmetic
* single precision
*/
/*
* MIPS floating point support
* Copyright (C) 1994-2000 Algorithmics Ltd.
*/
#include "ieee754sp.h"
s64 ieee754sp_tlong(union ieee754sp x)
{
u32 residue;
int round;
int sticky;
int odd;
COMPXDP; /* <-- need 64-bit mantissa tmp */
ieee754_clearcx();
EXPLODEXSP;
FLUSHXSP;
switch (xc) {
case IEEE754_CLASS_SNAN:
case IEEE754_CLASS_QNAN:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_indef();
case IEEE754_CLASS_INF:
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
case IEEE754_CLASS_ZERO:
return 0;
case IEEE754_CLASS_DNORM:
case IEEE754_CLASS_NORM:
break;
}
if (xe >= 63) {
/* look for valid corner case */
if (xe == 63 && xs && xm == SP_HIDDEN_BIT)
return -0x8000000000000000LL;
/* Set invalid. We will only use overflow for floating
point overflow */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
}
/* oh gawd */
if (xe > SP_FBITS) {
xm <<= xe - SP_FBITS;
} else if (xe < SP_FBITS) {
if (xe < -1) {
residue = xm;
round = 0;
sticky = residue != 0;
xm = 0;
} else {
residue = xm << (32 - SP_FBITS + xe);
round = (residue >> 31) != 0;
sticky = (residue << 1) != 0;
xm >>= SP_FBITS - xe;
}
odd = (xm & 0x1) != 0x0;
switch (ieee754_csr.rm) {
case FPU_CSR_RN:
if (round && (sticky || odd))
xm++;
break;
case FPU_CSR_RZ:
break;
case FPU_CSR_RU: /* toward +Infinity */
if ((round || sticky) && !xs)
xm++;
break;
case FPU_CSR_RD: /* toward -Infinity */
if ((round || sticky) && xs)
xm++;
break;
}
if ((xm >> 63) != 0) {
/* This can happen after rounding */
ieee754_setcx(IEEE754_INVALID_OPERATION);
return ieee754di_overflow(xs);
}
if (round || sticky)
ieee754_setcx(IEEE754_INEXACT);
}
if (xs)
return -xm;
else
return xm;
}