Beispiel #1
0
void extF80M_to_f128M( const extFloat80_t *aPtr, float128_t *zPtr )
{
    const struct extFloat80M *aSPtr;
    uint32_t *zWPtr;
    uint_fast16_t uiA64;
    bool sign;
    int32_t exp;
    uint64_t sig;
    struct commonNaN commonNaN;
    uint32_t uiZ96;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    aSPtr = (const struct extFloat80M *) aPtr;
    zWPtr = (uint32_t *) zPtr;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiA64 = aSPtr->signExp;
    sign = signExtF80UI64( uiA64 );
    exp  = expExtF80UI64( uiA64 );
    sig = aSPtr->signif;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zWPtr[indexWord( 4, 0 )] = 0;
    if ( exp == 0x7FFF ) {
        if ( sig & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) {
            softfloat_extF80MToCommonNaN( aSPtr, &commonNaN );
            softfloat_commonNaNToF128M( &commonNaN, zWPtr );
            return;
        }
        uiZ96 = packToF128UI96( sign, 0x7FFF, 0 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp ) --exp;
    if ( ! (sig & UINT64_C( 0x8000000000000000 )) ) {
        if ( ! sig ) {
            uiZ96 = packToF128UI96( sign, 0, 0 );
            goto uiZ;
        }
        exp += softfloat_normExtF80SigM( &sig );
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zWPtr[indexWord( 4, 1 )] = (uint32_t) sig<<17;
    sig >>= 15;
    zWPtr[indexWord( 4, 2 )] = sig;
    if ( exp < 0 ) {
        zWPtr[indexWordHi( 4 )] = sig>>32;
        softfloat_shiftRight96M(
            &zWPtr[indexMultiwordHi( 4, 3 )],
            -exp,
            &zWPtr[indexMultiwordHi( 4, 3 )]
        );
        exp = 0;
        sig = (uint64_t) zWPtr[indexWordHi( 4 )]<<32;
    }
Beispiel #2
0
void ui64_to_f128M( uint64_t a, float128_t *zPtr )
{
    uint32_t *zWPtr, uiZ96, uiZ64;
    uint_fast8_t shiftCount;
    uint32_t *ptr;

    zWPtr = (uint32_t *) zPtr;
    uiZ96 = 0;
    uiZ64 = 0;
    zWPtr[indexWord( 4, 1 )] = 0;
    zWPtr[indexWord( 4, 0 )] = 0;
    if ( a ) {
        shiftCount = softfloat_countLeadingZeros64( a ) + 17;
        if ( shiftCount < 32 ) {
            ptr = zWPtr + indexMultiwordHi( 4, 3 );
            ptr[indexWord( 3, 2 )] = 0;
            ptr[indexWord( 3, 1 )] = a>>32;
            ptr[indexWord( 3, 0 )] = a;
            softfloat_shortShiftLeft96M( ptr, shiftCount, ptr );
            ptr[indexWordHi( 3 )] =
                packToF128UI96(
                    0, 0x404E - shiftCount, ptr[indexWordHi( 3 )] );
            return;
        }
        a <<= shiftCount - 32;
        uiZ96 = packToF128UI96( 0, 0x404E - shiftCount, a>>32 );
        uiZ64 = a;
    }
Beispiel #3
0
void
 softfloat_shiftRightJamM(
     uint_fast8_t size_words,
     const uint32_t *aPtr,
     uint32_t count,
     uint32_t *zPtr
 )
{
    uint32_t wordJam, wordCount, *ptr;
    uint_fast8_t i, innerCount;

    wordJam = 0;
    wordCount = count>>5;
    if ( wordCount ) {
        if ( size_words < wordCount ) wordCount = size_words;
        ptr = (uint32_t *) (aPtr + indexMultiwordLo( size_words, wordCount ));
        i = wordCount;
        do {
            wordJam = *ptr++;
            if ( wordJam ) break;
            --i;
        } while ( i );
        ptr = zPtr;
    }
    if ( wordCount < size_words ) {
        aPtr += indexMultiwordHiBut( size_words, wordCount );
        innerCount = count & 31;
        if ( innerCount ) {
            softfloat_shortShiftRightJamM(
                size_words - wordCount,
                aPtr,
                innerCount,
                zPtr + indexMultiwordLoBut( size_words, wordCount )
            );
            if ( ! wordCount ) goto wordJam;
        } else {
            aPtr += indexWordLo( size_words - wordCount );
            ptr = zPtr + indexWordLo( size_words );
            for ( i = size_words - wordCount; i; --i ) {
                *ptr = *aPtr;
                aPtr += wordIncr;
                ptr += wordIncr;
            }
        }
        ptr = zPtr + indexMultiwordHi( size_words, wordCount );
    }
    do {
        *ptr++ = 0;
        --wordCount;
    } while ( wordCount );
 wordJam:
    if ( wordJam ) zPtr[indexWordLo( size_words )] |= 1;

}
Beispiel #4
0
void
softfloat_shiftRightJam256M(
    const uint64_t *aPtr, uint_fast32_t count, uint64_t *zPtr )
{
    uint64_t wordJam;
    uint_fast32_t wordCount;
    uint64_t *ptr;
    uint_fast8_t i, innerCount;

    wordJam = 0;
    wordCount = count>>6;
    if ( wordCount ) {
        if ( 4 < wordCount ) wordCount = 4;
        ptr = (uint64_t *) (aPtr + indexMultiwordLo( 4, wordCount ));
        i = wordCount;
        do {
            wordJam = *ptr++;
            if ( wordJam ) break;
            --i;
        } while ( i );
        ptr = zPtr;
    }
    if ( wordCount < 4 ) {
        aPtr += indexMultiwordHiBut( 4, wordCount );
        innerCount = count & 63;
        if ( innerCount ) {
            softfloat_shortShiftRightJamM(
                4 - wordCount,
                aPtr,
                innerCount,
                zPtr + indexMultiwordLoBut( 4, wordCount )
            );
            if ( ! wordCount ) goto wordJam;
        } else {
            aPtr += indexWordLo( 4 - wordCount );
            ptr = zPtr + indexWordLo( 4 );
            for ( i = 4 - wordCount; i; --i ) {
                *ptr = *aPtr;
                aPtr += wordIncr;
                ptr += wordIncr;
            }
        }
        ptr = zPtr + indexMultiwordHi( 4, wordCount );
    }
    do {
        *ptr++ = 0;
        --wordCount;
    } while ( wordCount );
wordJam:
    if ( wordJam ) zPtr[indexWordLo( 4 )] |= 1;

}
Beispiel #5
0
void f128M_to_extF80M( const float128_t *aPtr, extFloat80_t *zPtr )
{
    const uint32_t *aWPtr;
    struct extFloat80M *zSPtr;
    uint32_t uiA96;
    bool sign;
    int32_t exp;
    struct commonNaN commonNaN;
    uint32_t sig[4];

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    aWPtr = (const uint32_t *) aPtr;
    zSPtr = (struct extFloat80M *) zPtr;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiA96 = aWPtr[indexWordHi( 4 )];
    sign = signF128UI96( uiA96 );
    exp  = expF128UI96( uiA96 );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp == 0x7FFF ) {
        if ( softfloat_isNaNF128M( aWPtr ) ) {
            softfloat_f128MToCommonNaN( aWPtr, &commonNaN );
            softfloat_commonNaNToExtF80M( &commonNaN, zSPtr );
            return;
        }
        zSPtr->signExp = packToExtF80UI64( sign, 0x7FFF );
        zSPtr->signif = UINT64_C( 0x8000000000000000 );
        return;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    exp = softfloat_shiftNormSigF128M( aWPtr, 15, sig );
    if ( exp == -128 ) {
        zSPtr->signExp = packToExtF80UI64( sign, 0 );
        zSPtr->signif = 0;
        return;
    }
    if ( sig[indexWord( 4, 0 )] ) sig[indexWord( 4, 1 )] |= 1;
    softfloat_roundPackMToExtF80M(
        sign, exp, &sig[indexMultiwordHi( 4, 3 )], 80, zSPtr );

}
Beispiel #6
0
void
 f128M_mul( const float128_t *aPtr, const float128_t *bPtr, float128_t *zPtr )
{
    const uint32_t *aWPtr, *bWPtr;
    uint32_t *zWPtr;
    uint32_t uiA96;
    int32_t expA;
    uint32_t uiB96;
    int32_t expB;
    bool signZ;
    const uint32_t *ptr;
    uint32_t uiZ96, sigA[4];
    uint_fast8_t shiftDist;
    uint32_t sigB[4];
    int32_t expZ;
    uint32_t sigProd[8], *extSigZPtr;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    aWPtr = (const uint32_t *) aPtr;
    bWPtr = (const uint32_t *) bPtr;
    zWPtr = (uint32_t *) zPtr;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiA96 = aWPtr[indexWordHi( 4 )];
    expA = expF128UI96( uiA96 );
    uiB96 = bWPtr[indexWordHi( 4 )];
    expB = expF128UI96( uiB96 );
    signZ = signF128UI96( uiA96 ) ^ signF128UI96( uiB96 );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
        if ( softfloat_tryPropagateNaNF128M( aWPtr, bWPtr, zWPtr ) ) return;
        ptr = aWPtr;
        if ( ! expA ) goto possiblyInvalid;
        if ( ! expB ) {
            ptr = bWPtr;
     possiblyInvalid:
            if (
                ! fracF128UI96( ptr[indexWordHi( 4 )] )
                    && ! (ptr[indexWord( 4, 2 )] | ptr[indexWord( 4, 1 )]
                              | ptr[indexWord( 4, 0 )])
            ) {
                softfloat_invalidF128M( zWPtr );
                return;
            }
        }
        uiZ96 = packToF128UI96( signZ, 0x7FFF, 0 );
        goto uiZ96;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( expA ) {
        sigA[indexWordHi( 4 )] = fracF128UI96( uiA96 ) | 0x00010000;
        sigA[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
        sigA[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
        sigA[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
    } else {
        expA = softfloat_shiftNormSigF128M( aWPtr, 0, sigA );
        if ( expA == -128 ) goto zero;
    }
    if ( expB ) {
        sigB[indexWordHi( 4 )] = fracF128UI96( uiB96 ) | 0x00010000;
        sigB[indexWord( 4, 2 )] = bWPtr[indexWord( 4, 2 )];
        sigB[indexWord( 4, 1 )] = bWPtr[indexWord( 4, 1 )];
        sigB[indexWord( 4, 0 )] = bWPtr[indexWord( 4, 0 )];
    } else {
        expB = softfloat_shiftNormSigF128M( bWPtr, 0, sigB );
        if ( expB == -128 ) goto zero;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expZ = expA + expB - 0x4000;
    softfloat_mul128MTo256M( sigA, sigB, sigProd );
    if (
        sigProd[indexWord( 8, 2 )]
            || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
    ) {
        sigProd[indexWord( 8, 3 )] |= 1;
    }
    extSigZPtr = &sigProd[indexMultiwordHi( 8, 5 )];
    shiftDist = 16;
    if ( extSigZPtr[indexWordHi( 5 )] & 2 ) {
        ++expZ;
        shiftDist = 15;
    }
    softfloat_shortShiftLeft160M( extSigZPtr, shiftDist, extSigZPtr );
    softfloat_roundPackMToF128M( signZ, expZ, extSigZPtr, zWPtr );
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zero:
    uiZ96 = packToF128UI96( signZ, 0, 0 );
 uiZ96:
    zWPtr[indexWordHi( 4 )] = uiZ96;
    zWPtr[indexWord( 4, 2 )] = 0;
    zWPtr[indexWord( 4, 1 )] = 0;
    zWPtr[indexWord( 4, 0 )] = 0;

}
Beispiel #7
0
void
 softfloat_roundPackMToF128M(
     bool sign, int32_t exp, uint32_t *extSigPtr, uint32_t *zWPtr )
{
    uint_fast8_t roundingMode;
    bool roundNearEven;
    uint32_t sigExtra;
    bool doIncrement, isTiny;
    static const uint32_t maxSig[4] =
        INIT_UINTM4( 0x0001FFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF );
    uint32_t ui, uj;

    roundingMode = softfloat_roundingMode;
    roundNearEven = (roundingMode == softfloat_round_near_even);
    sigExtra = extSigPtr[indexWordLo( 5 )];
    doIncrement = (0x80000000 <= sigExtra);
    if ( ! roundNearEven && (roundingMode != softfloat_round_near_maxMag) ) {
        doIncrement =
            (roundingMode
                 == (sign ? softfloat_round_min : softfloat_round_max))
                && sigExtra;
    }
    if ( 0x7FFD <= (uint32_t) exp ) {
        if ( exp < 0 ) {
            isTiny =
                   (softfloat_detectTininess
                        == softfloat_tininess_beforeRounding)
                || (exp < -1)
                || ! doIncrement
                || (softfloat_compare128M(
                        extSigPtr + indexMultiwordHi( 5, 4 ), maxSig )
                        < 0);
            softfloat_shiftRightJam160M( extSigPtr, -exp, extSigPtr );
            exp = 0;
            sigExtra = extSigPtr[indexWordLo( 5 )];
            if ( isTiny && sigExtra ) {
                softfloat_raiseFlags( softfloat_flag_underflow );
            }
            doIncrement = (0x80000000 <= sigExtra);
            if (
                   ! roundNearEven
                && (roundingMode != softfloat_round_near_maxMag)
            ) {
                doIncrement =
                    (roundingMode
                         == (sign ? softfloat_round_min : softfloat_round_max))
                        && sigExtra;
            }
        } else if (
               (0x7FFD < exp)
            || ((exp == 0x7FFD) && doIncrement
                    && (softfloat_compare128M(
                            extSigPtr + indexMultiwordHi( 5, 4 ), maxSig )
                            == 0))
        ) {
            softfloat_raiseFlags(
                softfloat_flag_overflow | softfloat_flag_inexact );
            if (
                   roundNearEven
                || (roundingMode == softfloat_round_near_maxMag)
                || (roundingMode
                        == (sign ? softfloat_round_min : softfloat_round_max))
            ) {
                ui = packToF128UI96( sign, 0x7FFF, 0 );
                uj = 0;
            } else {
                ui = packToF128UI96( sign, 0x7FFE, 0x0000FFFF );
                uj = 0xFFFFFFFF;
            }
            zWPtr[indexWordHi( 4 )] = ui;
            zWPtr[indexWord( 4, 2 )] = uj;
            zWPtr[indexWord( 4, 1 )] = uj;
            zWPtr[indexWord( 4, 0 )] = uj;
            return;
        }
    }
    if ( sigExtra ) softfloat_exceptionFlags |= softfloat_flag_inexact;
    uj = extSigPtr[indexWord( 5, 1 )];
    if ( doIncrement ) {
        ++uj;
        if ( uj ) {
            if ( ! (sigExtra & 0x7FFFFFFF) && roundNearEven ) uj &= ~1;
            zWPtr[indexWord( 4, 2 )] = extSigPtr[indexWord( 5, 3 )];
            zWPtr[indexWord( 4, 1 )] = extSigPtr[indexWord( 5, 2 )];
            zWPtr[indexWord( 4, 0 )] = uj;
            ui = extSigPtr[indexWordHi( 5 )];
        } else {
            zWPtr[indexWord( 4, 0 )] = uj;
            ui = extSigPtr[indexWord( 5, 2 )] + 1;
            zWPtr[indexWord( 4, 1 )] = ui;
            uj = extSigPtr[indexWord( 5, 3 )];
            if ( ui ) {
                zWPtr[indexWord( 4, 2 )] = uj;
                ui = extSigPtr[indexWordHi( 5 )];
            } else {
                ++uj;
                zWPtr[indexWord( 4, 2 )] = uj;
                ui = extSigPtr[indexWordHi( 5 )];
                if ( ! uj ) ++ui;
            }
        }
    } else {
        zWPtr[indexWord( 4, 0 )] = uj;
        ui = extSigPtr[indexWord( 5, 2 )];
        zWPtr[indexWord( 4, 1 )] = ui;
        uj |= ui;
        ui = extSigPtr[indexWord( 5, 3 )];
        zWPtr[indexWord( 4, 2 )] = ui;
        uj |= ui;
        ui = extSigPtr[indexWordHi( 5 )];
        uj |= ui;
        if ( ! uj ) exp = 0;
    }
    zWPtr[indexWordHi( 4 )] = packToF128UI96( sign, exp, ui );

}
Beispiel #8
0
void
 softfloat_mulAddF128M(
     const uint32_t *aWPtr,
     const uint32_t *bWPtr,
     const uint32_t *cWPtr,
     uint32_t *zWPtr,
     uint_fast8_t op
 )
{
    uint32_t uiA96;
    int32_t expA;
    uint32_t uiB96;
    int32_t expB;
    uint32_t uiC96;
    bool signC;
    int32_t expC;
    bool signProd, prodIsInfinite;
    uint32_t *ptr, uiZ96, sigA[4];
    uint_fast8_t shiftCount;
    uint32_t sigX[5];
    int32_t expProd;
    uint32_t sigProd[8], wordSig;
    bool doSub;
    uint_fast8_t
     (*addCarryMRoutinePtr)(
         uint_fast8_t,
         const uint32_t *,
         const uint32_t *,
         uint_fast8_t,
         uint32_t *
     );
    int32_t expDiff;
    bool signZ;
    int32_t expZ;
    uint32_t *extSigPtr;
    uint_fast8_t carry;
    void (*roundPackRoutinePtr)( bool, int32_t, uint32_t *, uint32_t * );

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiA96 = aWPtr[indexWordHi( 4 )];
    expA = expF128UI96( uiA96 );
    uiB96 = bWPtr[indexWordHi( 4 )];
    expB = expF128UI96( uiB96 );
    uiC96 = cWPtr[indexWordHi( 4 )];
    signC = signF128UI96( uiC96 ) ^ (op == softfloat_mulAdd_subC);
    expC = expF128UI96( uiC96 );
    signProd =
        signF128UI96( uiA96 ) ^ signF128UI96( uiB96 )
            ^ (op == softfloat_mulAdd_subProd);
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    prodIsInfinite = false;
    if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
        if ( softfloat_tryPropagateNaNF128M( aWPtr, bWPtr, zWPtr ) ) {
            goto propagateNaN_ZC;
        }
        ptr = (uint32_t *) aWPtr;
        if ( ! (uint32_t) (uiA96<<1) ) goto possibleInvalidProd;
        if ( ! (uint32_t) (uiB96<<1) ) {
            ptr = (uint32_t *) bWPtr;
     possibleInvalidProd:
            if (
                ! (ptr[indexWord( 4, 2 )] | ptr[indexWord( 4, 1 )]
                       | ptr[indexWord( 4, 0 )])
            ) {
                goto invalid;
            }
        }
        prodIsInfinite = true;
    }
    if ( expC == 0x7FFF ) {
        if (
            fracF128UI96( uiC96 )
                || (cWPtr[indexWord( 4, 2 )] | cWPtr[indexWord( 4, 1 )]
                        | cWPtr[indexWord( 4, 0 )])
        ) {
            zWPtr[indexWordHi( 4 )] = 0;
            goto propagateNaN_ZC;
        }
        if ( prodIsInfinite && (signProd != signC) ) goto invalid;
        goto copyC;
    }
    if ( prodIsInfinite ) {
        uiZ96 = packToF128UI96( signProd, 0x7FFF, 0 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( expA ) {
        sigA[indexWordHi( 4 )] = fracF128UI96( uiA96 ) | 0x00010000;
        sigA[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
        sigA[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
        sigA[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
    } else {
        expA = softfloat_shiftNormSigF128M( aWPtr, 0, sigA );
        if ( expA == -128 ) goto zeroProd;
    }
    if ( expB ) {
        sigX[indexWordHi( 4 )] = fracF128UI96( uiB96 ) | 0x00010000;
        sigX[indexWord( 4, 2 )] = bWPtr[indexWord( 4, 2 )];
        sigX[indexWord( 4, 1 )] = bWPtr[indexWord( 4, 1 )];
        sigX[indexWord( 4, 0 )] = bWPtr[indexWord( 4, 0 )];
    } else {
        expB = softfloat_shiftNormSigF128M( bWPtr, 0, sigX );
        if ( expB == -128 ) goto zeroProd;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expProd = expA + expB - 0x3FF0;
    softfloat_mul128MTo256M( sigA, sigX, sigProd );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    wordSig = fracF128UI96( uiC96 );
    if ( expC ) {
        --expC;
        wordSig |= 0x00010000;
    }
    sigX[indexWordHi( 5 )] = wordSig;
    sigX[indexWord( 5, 3 )] = cWPtr[indexWord( 4, 2 )];
    sigX[indexWord( 5, 2 )] = cWPtr[indexWord( 4, 1 )];
    sigX[indexWord( 5, 1 )] = cWPtr[indexWord( 4, 0 )];
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    doSub = (signProd != signC);
    addCarryMRoutinePtr =
        doSub ? softfloat_addComplCarryM : softfloat_addCarryM;
    expDiff = expProd - expC;
    if ( expDiff <= 0 ) {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        signZ = signC;
        expZ = expC;
        if (
            sigProd[indexWord( 8, 2 )]
                || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
        ) {
            sigProd[indexWord( 8, 3 )] |= 1;
        }
        extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
        if ( expDiff ) {
            softfloat_shiftRightJam160M( extSigPtr, -expDiff, extSigPtr );
        }
        carry = 0;
        if ( doSub ) {
            wordSig = extSigPtr[indexWordLo( 5 )];
            extSigPtr[indexWordLo( 5 )] = -wordSig;
            carry = ! wordSig;
        }
        (*addCarryMRoutinePtr)(
            4,
            &sigX[indexMultiwordHi( 5, 4 )],
            extSigPtr + indexMultiwordHi( 5, 4 ),
            carry,
            extSigPtr + indexMultiwordHi( 5, 4 )
        );
        wordSig = extSigPtr[indexWordHi( 5 )];
        if ( ! expZ ) {
            if ( wordSig & 0x80000000 ) {
                signZ = ! signZ;
                softfloat_negX160M( extSigPtr );
                wordSig = extSigPtr[indexWordHi( 5 )];
            }
            goto checkCancellation;
        }
        if ( wordSig < 0x00010000 ) {
            --expZ;
            softfloat_add160M( extSigPtr, extSigPtr, extSigPtr );
            goto roundPack;
        }
        goto extSigReady_noCancellation;
    } else {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        signZ = signProd;
        expZ = expProd;
        sigX[indexWordLo( 5 )] = 0;
        expDiff -= 128;
        if ( 0 <= expDiff ) {
            /*----------------------------------------------------------------
            *----------------------------------------------------------------*/
            if ( expDiff ) softfloat_shiftRightJam160M( sigX, expDiff, sigX );
            wordSig = sigX[indexWordLo( 5 )];
            carry = 0;
            if ( doSub ) {
                carry = ! wordSig;
                wordSig = -wordSig;
            }
            carry =
                (*addCarryMRoutinePtr)(
                    4,
                    &sigProd[indexMultiwordLo( 8, 4 )],
                    &sigX[indexMultiwordHi( 5, 4 )],
                    carry,
                    &sigProd[indexMultiwordLo( 8, 4 )]
                );
            sigProd[indexWord( 8, 2 )] |= wordSig;
            ptr = &sigProd[indexWord( 8, 4 )];
        } else {
            /*----------------------------------------------------------------
            *----------------------------------------------------------------*/
            shiftCount = expDiff & 31;
            if ( shiftCount ) {
                softfloat_shortShiftRight160M( sigX, shiftCount, sigX );
            }
            expDiff >>= 5;
            extSigPtr =
                &sigProd[indexMultiwordLo( 8, 5 )] - wordIncr
                    + expDiff * -wordIncr;
            carry =
                (*addCarryMRoutinePtr)( 5, extSigPtr, sigX, doSub, extSigPtr );
            if ( expDiff == -4 ) {
                /*------------------------------------------------------------
                *------------------------------------------------------------*/
                wordSig = sigProd[indexWordHi( 8 )];
                if ( wordSig & 0x80000000 ) {
                    signZ = ! signZ;
                    softfloat_negX256M( sigProd );
                    wordSig = sigProd[indexWordHi( 8 )];
                }
                /*------------------------------------------------------------
                *------------------------------------------------------------*/
                if ( wordSig ) goto expProdBigger_noWordShift;
                wordSig = sigProd[indexWord( 8, 6 )];
                if ( 0x00040000 <= wordSig ) goto expProdBigger_noWordShift;
                expZ -= 32;
                extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )] - wordIncr;
                for (;;) {
                    if ( wordSig ) break;
                    wordSig = extSigPtr[indexWord( 5, 3 )];
                    if ( 0x00040000 <= wordSig ) break;
                    expZ -= 32;
                    extSigPtr -= wordIncr;
                    if ( extSigPtr == &sigProd[indexMultiwordLo( 8, 5 )] ) {
                        goto checkCancellation;
                    }
                }
                /*------------------------------------------------------------
                *------------------------------------------------------------*/
                ptr = extSigPtr + indexWordLo( 5 );
                do {
                    ptr -= wordIncr;
                    if ( *ptr ) {
                        extSigPtr[indexWordLo( 5 )] |= 1;
                        break;
                    }
                } while ( ptr != &sigProd[indexWordLo( 8 )] );
                wordSig = extSigPtr[indexWordHi( 5 )];
                goto extSigReady;
            }
            ptr = extSigPtr + indexWordHi( 5 ) + wordIncr;
        }
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( carry != doSub ) {
            if ( doSub ) {
                do {
                    wordSig = *ptr;
                    *ptr = wordSig - 1;
                    ptr += wordIncr;
                } while ( ! wordSig );
            } else {
                do {
                    wordSig = *ptr + 1;
                    *ptr = wordSig;
                    ptr += wordIncr;
                } while ( ! wordSig );
            }
        }
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
     expProdBigger_noWordShift:
        if (
            sigProd[indexWord( 8, 2 )]
                || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
        ) {
            sigProd[indexWord( 8, 3 )] |= 1;
        }
        extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
        wordSig = extSigPtr[indexWordHi( 5 )];
    }
 extSigReady:
    roundPackRoutinePtr = softfloat_normRoundPackMToF128M;
    if ( wordSig < 0x00010000 ) goto doRoundPack;
 extSigReady_noCancellation:
    if ( 0x00020000 <= wordSig ) {
        ++expZ;
        softfloat_shortShiftRightJam160M( extSigPtr, 1, extSigPtr );
    }
 roundPack:
    roundPackRoutinePtr = softfloat_roundPackMToF128M;
 doRoundPack:
    (*roundPackRoutinePtr)( signZ, expZ, extSigPtr, zWPtr );
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 invalid:
    softfloat_invalidF128M( zWPtr );
 propagateNaN_ZC:
    softfloat_propagateNaNF128M( zWPtr, cWPtr, zWPtr );
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zeroProd:
    if (
        ! (uint32_t) (uiC96<<1) && (signProd != signC)
            && ! cWPtr[indexWord( 4, 2 )]
            && ! (cWPtr[indexWord( 4, 1 )] | cWPtr[indexWord( 4, 0 )])
    ) {
        goto completeCancellation;
    }
 copyC:
    zWPtr[indexWordHi( 4 )] = uiC96;
    zWPtr[indexWord( 4, 2 )] = cWPtr[indexWord( 4, 2 )];
    zWPtr[indexWord( 4, 1 )] = cWPtr[indexWord( 4, 1 )];
    zWPtr[indexWord( 4, 0 )] = cWPtr[indexWord( 4, 0 )];
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 checkCancellation:
    if (
        wordSig
            || (extSigPtr[indexWord( 5, 3 )] | extSigPtr[indexWord( 5, 2 )])
            || (extSigPtr[indexWord( 5, 1 )] | extSigPtr[indexWord( 5, 0 )])
    ) {
        goto extSigReady;
    }
 completeCancellation:
    uiZ96 =
        packToF128UI96(
            (softfloat_roundingMode == softfloat_round_min), 0, 0 );
 uiZ:
    zWPtr[indexWordHi( 4 )] = uiZ96;
    zWPtr[indexWord( 4, 2 )] = 0;
    zWPtr[indexWord( 4, 1 )] = 0;
    zWPtr[indexWord( 4, 0 )] = 0;

}
Beispiel #9
0
void
 extF80M_mul(
     const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr )
{
    const struct extFloat80M *aSPtr, *bSPtr;
    struct extFloat80M *zSPtr;
    uint_fast16_t uiA64;
    int32_t expA;
    uint_fast16_t uiB64;
    int32_t expB;
    bool signZ;
    uint_fast16_t exp, uiZ64;
    uint64_t uiZ0, sigA, sigB;
    int32_t expZ;
    uint32_t sigProd[4], *extSigZPtr;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    aSPtr = (const struct extFloat80M *) aPtr;
    bSPtr = (const struct extFloat80M *) bPtr;
    zSPtr = (struct extFloat80M *) zPtr;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiA64 = aSPtr->signExp;
    expA = expExtF80UI64( uiA64 );
    uiB64 = bSPtr->signExp;
    expB = expExtF80UI64( uiB64 );
    signZ = signExtF80UI64( uiA64 ) ^ signExtF80UI64( uiB64 );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
        if ( softfloat_tryPropagateNaNExtF80M( aSPtr, bSPtr, zSPtr ) ) return;
        if (
               (! aSPtr->signif && (expA != 0x7FFF))
            || (! bSPtr->signif && (expB != 0x7FFF))
        ) {
            softfloat_invalidExtF80M( zSPtr );
            return;
        }
        uiZ64 = packToExtF80UI64( signZ, 0x7FFF );
        uiZ0  = UINT64_C( 0x8000000000000000 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! expA ) expA = 1;
    sigA = aSPtr->signif;
    if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) {
        if ( ! sigA ) goto zero;
        expA += softfloat_normExtF80SigM( &sigA );
    }
    if ( ! expB ) expB = 1;
    sigB = bSPtr->signif;
    if ( ! (sigB & UINT64_C( 0x8000000000000000 )) ) {
        if ( ! sigB ) goto zero;
        expB += softfloat_normExtF80SigM( &sigB );
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expZ = expA + expB - 0x3FFE;
    softfloat_mul64To128M( sigA, sigB, sigProd );
    if ( sigProd[indexWordLo( 4 )] ) sigProd[indexWord( 4, 1 )] |= 1;
    extSigZPtr = &sigProd[indexMultiwordHi( 4, 3 )];
    if ( sigProd[indexWordHi( 4 )] < 0x80000000 ) {
        --expZ;
        softfloat_add96M( extSigZPtr, extSigZPtr, extSigZPtr );
    }
    softfloat_roundPackMToExtF80M(
        signZ, expZ, extSigZPtr, extF80_roundingPrecision, zSPtr );
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zero:
    uiZ64 = packToExtF80UI64( signZ, 0 );
    uiZ0  = 0;
 uiZ:
    zSPtr->signExp = uiZ64;
    zSPtr->signif  = uiZ0;

}