256 lines
6.7 KiB
C
256 lines
6.7 KiB
C
|
/*
|
||
|
|
* 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>
|
||
|
|
*
|
||
|
|
* This program is free software; you can distribute it and/or modify it
|
||
|
|
* under the terms of the GNU General Public License as published by the
|
||
|
|
* Free Software Foundation; version 2 of the License.
|
||
|
|
*/
|
||
|
|
|
||
|
|
#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;
|
||
|
|
|
||
|
|
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;
|
||
|
|
|
||
|
|
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;
|
||
|
|
}
|