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/* $Id: extF80_scale_extF80.c $ */
/** @file
* SoftFloat - 387-style fscale.
*/
/*
* Copyright (C) 2022 Oracle and/or its affiliates.
*
* This file is part of VirtualBox base platform packages, as
* available from https://www.virtualbox.org.
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation, in version 3 of the
* License.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, see <https://www.gnu.org/licenses>.
*
* SPDX-License-Identifier: GPL-3.0-only
*/
/*********************************************************************************************************************************
* Header Files *
*********************************************************************************************************************************/
#include "platform.h"
#include "internals.h"
#include "specialize.h"
#include "softfloat.h"
#include <iprt/assert.h>
#include <iprt/asm.h>
/**
* Wrapper around softfloat_propagateNaNExtF80UI that returns extFloat80_t
* and takes fully unpacked input.
*/
DECLINLINE(extFloat80_t)
softfloat_extF80_propagateNaN(bool fSignA, int_fast32_t iExpA, uint_fast64_t uSigA,
bool fSignB, int_fast32_t iExpB, uint_fast64_t uSigB SOFTFLOAT_STATE_DECL_COMMA)
{
struct uint128 uiZ = softfloat_propagateNaNExtF80UI(packToExtF80UI64(fSignA, iExpA), uSigA,
packToExtF80UI64(fSignB, iExpB), uSigB SOFTFLOAT_STATE_ARG_COMMA);
union extF80M_extF80 Ret;
Ret.fM.signExp = uiZ.v64;
Ret.fM.signif = uiZ.v0;
return Ret.f;
}
/**
* This performs a function similar to extF80_to_i32_r_minMag, but returns
* proper MIN/MAX values and no NaNs.
*
* ASSUMES the input is normalized.
*
* @returns Values in the range -2^24...+2^24.
*/
static int_fast32_t convertToInt(bool fSign, uint_fast64_t uSig, int_fast32_t iExp)
{
iExp -= RTFLOAT80U_EXP_BIAS;
if (iExp < 0)
return 0;
/* Restrict the range to -2^24...+2^24 to prevent overflows during scaling. */
if (iExp >= 24)
return fSign ? INT32_MIN / 128 : INT32_MAX / 128;
int_fast32_t iRet = (int_fast32_t)(uSig >> (63 - iExp));
if (fSign)
return -iRet;
return iRet;
}
/**
* VBox: scale @a a by 2^truncateToInt(@a b)
*
* This function accepts and deals correctly with denormals (pseudo and
* otherwise).
*/
extFloat80_t extF80_scale_extF80(extFloat80_t a, extFloat80_t b, softfloat_state_t *pState)
{
static union extF80M_extF80 const s_extF80Indefinite = EXTF80M_EXTF80_INIT(defaultNaNExtF80UI64, defaultNaNExtF80UI0);
static union extF80M_extF80 const s_aExtF80Zero[2] =
{
EXTF80M_EXTF80_INIT3_C(0, 0, 0), EXTF80M_EXTF80_INIT3_C(1, 0, 0),
};
static union extF80M_extF80 const s_aExtF80Infinity[2] =
{
EXTF80M_EXTF80_INIT3(0, RT_BIT_64(63), RTFLOAT80U_EXP_MAX),
EXTF80M_EXTF80_INIT3(1, RT_BIT_64(63), RTFLOAT80U_EXP_MAX),
};
/*
* Unpack the input.
*/
bool const fSignA = signExtF80UI64(a.signExp);
int_fast32_t iExpA = expExtF80UI64(a.signExp);
uint_fast64_t uSigA = a.signif;
bool const fSignB = signExtF80UI64(b.signExp);
int_fast32_t iExpB = expExtF80UI64(b.signExp);
uint_fast64_t uSigB = b.signif;
/*
* Deal with funny input.
*/
/* Invalid first. We ASSUME subnormals are rejected here. */
if ( RTFLOAT80U_IS_387_INVALID_EX(uSigA, iExpA)
|| RTFLOAT80U_IS_387_INVALID_EX(uSigB, iExpB))
{
softfloat_raiseFlags(softfloat_flag_invalid, pState);
return s_extF80Indefinite.f;
}
/* Then NaNs and indefinites (special NaNs): */
if ( RTFLOAT80U_IS_INDEFINITE_OR_QUIET_OR_SIGNALLING_NAN_EX(uSigA, iExpA)
|| RTFLOAT80U_IS_INDEFINITE_OR_QUIET_OR_SIGNALLING_NAN_EX(uSigB, iExpB))
return softfloat_extF80_propagateNaN(fSignA, iExpA, uSigA, fSignB, iExpB, uSigB, pState);
/* Normalize denormal inputs: */
if (RTFLOAT80U_IS_DENORMAL_OR_PSEUDO_DENORMAL_EX(uSigA, iExpA))
{
softfloat_raiseFlags(softfloat_flag_denormal, pState);
if (uSigA & RT_BIT_64(63))
iExpA = 1; /* -16382 */
else
{
/* We must return the denormal a value unchanged when b=zero, intel 10980XE
does this at least. Where-as pseudo-denormals are normalized. Go figure. */
if (RTFLOAT80U_IS_ZERO_EX(uSigB, iExpB))
return a;
iExpA = 64 - ASMBitLastSetU64(uSigA);
uSigA <<= iExpA;
iExpA = 1 - iExpA; /* -16382 - shift */
}
}
if (RTFLOAT80U_IS_DENORMAL_OR_PSEUDO_DENORMAL_EX(uSigB, iExpB))
{
softfloat_raiseFlags(softfloat_flag_denormal, pState);
if (uSigB & RT_BIT_64(63))
iExpB = 1; /* -16382 */
else
{
iExpB = 64 - ASMBitLastSetU64(uSigB);
uSigB <<= iExpB;
iExpB = 1 - iExpB; /* -16382 - shift */
}
}
/* Infinities and zeros: If a is Zero or Infinity, return it as-is unless
b=-Infinity & a=+/-Infinity or b=+Infinity & a=+/-zero when we have to
raise #I and return indefinite instead.
Note! If b is zero, don't, because pseudo-denormals should be returned
normalized (intel does that at least). Excpetion is b=zero and
a=denormal, which is handled above. */
if ( RTFLOAT80U_IS_INF_EX(uSigA, iExpA)
|| RTFLOAT80U_IS_ZERO_EX(uSigA, iExpA))
{
if (RTFLOAT80U_IS_INF_EX(uSigB, iExpB) && fSignB == RTFLOAT80U_IS_INF_EX(uSigA, iExpA))
{
softfloat_raiseFlags(softfloat_flag_invalid, pState);
return s_extF80Indefinite.f;
}
return a;
}
if (RTFLOAT80U_IS_INF_EX(uSigB, iExpB))
{
if (fSignB)
return s_aExtF80Zero[fSignA].f;
return s_aExtF80Infinity[fSignA].f;
}
/*
* Convert b to an integer and do the scaling.
*/
int_fast32_t iScaleFactor = convertToInt(fSignB, uSigB, iExpB);
int_fast32_t iScaledExp = iExpA + iScaleFactor;
return softfloat_normRoundPackToExtF80(fSignA, iScaledExp, uSigA, 0 /*sigExtra*/, 80 /*precision*/, pState);
}
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