Beispiel #1
0
float128_t extF80_to_f128( extFloat80_t a )
{
    union { struct extFloat80M s; extFloat80_t f; } uA;
    uint_fast16_t uiA64;
    uint_fast64_t uiA0;
    uint_fast16_t exp;
    uint_fast64_t frac;
    struct commonNaN commonNaN;
    struct uint128 uiZ;
    bool sign;
    struct uint128 frac128;
    union ui128_f128 uZ;

    uA.f = a;
    uiA64 = uA.s.signExp;
    uiA0  = uA.s.signif;
    exp = expExtF80UI64( uiA64 );
    frac = uiA0 & UINT64_C( 0x7FFFFFFFFFFFFFFF );
    if ( (exp == 0x7FFF) && frac ) {
        softfloat_extF80UIToCommonNaN( uiA64, uiA0, &commonNaN );
        uiZ = softfloat_commonNaNToF128UI( &commonNaN );
    } else {
        sign = signExtF80UI64( uiA64 );
        frac128 = softfloat_shortShiftLeft128( 0, frac, 49 );
        uiZ.v64 = packToF128UI64( sign, exp, frac128.v64 );
        uiZ.v0  = frac128.v0;
    }
    uZ.ui = uiZ;
    return uZ.f;

}
Beispiel #2
0
float128_t ui64_to_f128( uint64_t a )
{
    uint_fast64_t uiZ64, uiZ0;
    int_fast8_t shiftCount;
    struct uint128 zSig;
    union ui128_f128 uZ;

    if ( ! a ) {
        uiZ64 = 0;
        uiZ0  = 0;
    } else {
        shiftCount = softfloat_countLeadingZeros64( a ) + 49;
        if ( 64 <= shiftCount ) {
            zSig.v64 = a<<(shiftCount - 64);
            zSig.v0  = 0;
        } else {
            zSig = softfloat_shortShiftLeft128( 0, a, shiftCount );
        }
        uiZ64 = packToF128UI64( 0, 0x406E - shiftCount, zSig.v64 );
        uiZ0  = zSig.v0;
    }
    uZ.ui.v64 = uiZ64;
    uZ.ui.v0  = uiZ0;
    return uZ.f;

}
Beispiel #3
0
float128_t i64_to_f128( int64_t a )
{
    uint_fast64_t uiZ64, uiZ0;
    bool sign;
    uint_fast64_t absA;
    int_fast8_t shiftCount;
    struct uint128 zSig;
    union ui128_f128 uZ;

    if ( ! a ) {
        uiZ64 = 0;
        uiZ0  = 0;
    } else {
        sign = (a < 0);
        absA = sign ? -(uint_fast64_t) a : (uint_fast64_t) a;
        shiftCount = softfloat_countLeadingZeros64( absA ) + 49;
        if ( 64 <= shiftCount ) {
            zSig.v64 = absA<<(shiftCount - 64);
            zSig.v0  = 0;
        } else {
            zSig = softfloat_shortShiftLeft128( 0, absA, shiftCount );
        }
        uiZ64 = packToF128UI64( sign, 0x406E - shiftCount, zSig.v64 );
        uiZ0  = zSig.v0;
    }
    uZ.ui.v64 = uiZ64;
    uZ.ui.v0  = uiZ0;
    return uZ.f;

}
extFloat80_t
 softfloat_normRoundPackToExtF80(
     bool sign,
     int_fast32_t exp,
     uint_fast64_t sig,
     uint_fast64_t sigExtra,
     uint_fast8_t roundingPrecision
 )
{
    int_fast8_t shiftDist;
    struct uint128 sig128;

    if ( ! sig ) {
        exp -= 64;
        sig = sigExtra;
        sigExtra = 0;
    }
    shiftDist = softfloat_countLeadingZeros64( sig );
    exp -= shiftDist;
    if ( shiftDist ) {
        sig128 = softfloat_shortShiftLeft128( sig, sigExtra, shiftDist );
        sig = sig128.v64;
        sigExtra = sig128.v0;
    }
    return
        softfloat_roundPackToExtF80(
            sign, exp, sig, sigExtra, roundingPrecision );

}
Beispiel #5
0
float64_t f128_to_f64( float128_t a )
{
    union ui128_f128 uA;
    uint_fast64_t uiA64, uiA0;
    bool sign;
    int_fast32_t exp;
    uint_fast64_t frac64, frac0;
    struct commonNaN commonNaN;
    uint_fast64_t uiZ;
    struct uint128 frac128;
    union ui64_f64 uZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA64 = uA.ui.v64;
    uiA0  = uA.ui.v0;
    sign  = signF128UI64( uiA64 );
    exp   = expF128UI64( uiA64 );
    frac64 = fracF128UI64( uiA64 );
    frac0  = uiA0;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp == 0x7FFF ) {
        if ( frac64 | frac0 ) {
            softfloat_f128UIToCommonNaN( uiA64, uiA0, &commonNaN );
            uiZ = softfloat_commonNaNToF64UI( &commonNaN );
        } else {
            uiZ = packToF64UI( sign, 0x7FF, 0 );
        }
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    frac128 = softfloat_shortShiftLeft128( frac64, frac0, 14 );
    frac64 = frac128.v64 | (frac128.v0 != 0);
    if ( ! (exp | frac64) ) {
        uiZ = packToF64UI( sign, 0, 0 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    exp -= 0x3C01;
    if ( sizeof (int_fast16_t) < sizeof (int_fast32_t) ) {
        if ( exp < -0x1000 ) exp = -0x1000;
    }
    return
        softfloat_roundPackToF64(
            sign, exp, frac64 | UINT64_C( 0x4000000000000000 ) );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Beispiel #6
0
extFloat80_t f128_to_extF80( float128_t a )
{
    union ui128_f128 uA;
    uint_fast64_t uiA64, uiA0;
    bool sign;
    int_fast32_t exp;
    uint_fast64_t sig64, sig0;
    struct commonNaN commonNaN;
    struct uint128 uiZ;
    uint_fast16_t uiZ64;
    uint_fast64_t uiZ0;
    struct exp32_sig128 normExpSig;
    struct uint128 sig128;
    union { struct extFloat80M s; extFloat80_t f; } uZ;

    uA.f = a;
    uiA64 = uA.ui.v64;
    uiA0  = uA.ui.v0;
    sign  = signF128UI64( uiA64 );
    exp   = expF128UI64( uiA64 );
    sig64 = fracF128UI64( uiA64 );
    sig0  = uiA0;
    if ( exp == 0x7FFF ) {
        if ( sig64 | sig0 ) {
            softfloat_f128UIToCommonNaN( uiA64, uiA0, &commonNaN );
            uiZ = softfloat_commonNaNToExtF80UI( &commonNaN );
            uiZ64 = uiZ.v64;
            uiZ0  = uiZ.v0;
        } else {
            uiZ64 = packToExtF80UI64( sign, 0x7FFF );
            uiZ0  = UINT64_C( 0x8000000000000000 );
        }
        goto uiZ;
    }
    if ( ! exp ) {
        if ( ! (sig64 | sig0) ) {
            uiZ64 = packToExtF80UI64( sign, 0 );
            uiZ0  = 0;
            goto uiZ;
        }
        normExpSig = softfloat_normSubnormalF128Sig( sig64, sig0 );
        exp   = normExpSig.exp;
        sig64 = normExpSig.sig.v64;
        sig0  = normExpSig.sig.v0;
    } else {
        sig64 |= UINT64_C( 0x0001000000000000 );
    }
    sig128 = softfloat_shortShiftLeft128( sig64, sig0, 15 );
    return softfloat_roundPackToExtF80( sign, exp, sig128.v64, sig128.v0, 80 );
 uiZ:
    uZ.s.signExp = uiZ64;
    uZ.s.signif  = uiZ0;
    return uZ.f;

}
Beispiel #7
0
uint_fast64_t
 f128_to_ui64( float128_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui128_f128 uA;
    uint_fast64_t uiA64, uiA0;
    bool sign;
    int_fast32_t exp;
    uint_fast64_t sig64, sig0;
    int_fast32_t shiftDist;
    struct uint128 sig128;
    struct uint64_extra sigExtra;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA64 = uA.ui.v64;
    uiA0  = uA.ui.v0;
    sign  = signF128UI64( uiA64 );
    exp   = expF128UI64( uiA64 );
    sig64 = fracF128UI64( uiA64 );
    sig0  = uiA0;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    shiftDist = 0x402F - exp;
    if ( shiftDist <= 0 ) {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( shiftDist < -15 ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
            return
                (exp == 0x7FFF) && (sig64 | sig0) ? ui64_fromNaN
                    : sign ? ui64_fromNegOverflow : ui64_fromPosOverflow;
        }
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        sig64 |= UINT64_C( 0x0001000000000000 );
        if ( shiftDist ) {
            sig128 = softfloat_shortShiftLeft128( sig64, sig0, -shiftDist );
            sig64 = sig128.v64;
            sig0  = sig128.v0;
        }
    } else {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( exp ) sig64 |= UINT64_C( 0x0001000000000000 );
        sigExtra = softfloat_shiftRightJam64Extra( sig64, sig0, shiftDist );
        sig64 = sigExtra.v;
        sig0  = sigExtra.extra;
    }
    return softfloat_roundToUI64( sign, sig64, sig0, roundingMode, exact );

}
Beispiel #8
0
float128_t f64_to_f128( float64_t a )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    struct commonNaN commonNaN;
    struct uint128 uiZ;
    struct exp16_sig64 normExpSig;
    struct uint128 sig128;
    union ui128_f128 uZ;

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    if ( exp == 0x7FF ) {
        if ( sig ) {
            softfloat_f64UIToCommonNaN( uiA, &commonNaN );
            uiZ = softfloat_commonNaNToF128UI( &commonNaN );
        } else {
            uiZ.v64 = packToF128UI64( sign, 0x7FFF, 0 );
            uiZ.v0  = 0;
        }
        goto uiZ;
    }
    if ( ! exp ) {
        if ( ! sig ) {
            uiZ.v64 = packToF128UI64( sign, 0, 0 );
            uiZ.v0  = 0;
            goto uiZ;
        }
        normExpSig = softfloat_normSubnormalF64Sig( sig );
        exp = normExpSig.exp - 1;
        sig = normExpSig.sig;
    }
    sig128 = softfloat_shortShiftLeft128( 0, sig, 60 );
    uiZ.v64 = packToF128UI64( sign, exp + 0x3C00, sig128.v64 );
    uiZ.v0  = sig128.v0;
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Beispiel #9
0
int_fast64_t f128_to_i64( float128_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui128_f128 uA;
    uint_fast64_t uiA64, uiA0;
    bool sign;
    int_fast32_t exp;
    uint_fast64_t sig64, sig0;
    int_fast32_t shiftCount;
    struct uint128 sig128;
    struct uint64_extra sigExtra;

    uA.f = a;
    uiA64 = uA.ui.v64;
    uiA0  = uA.ui.v0;
    sign  = signF128UI64( uiA64 );
    exp   = expF128UI64( uiA64 );
    sig64 = fracF128UI64( uiA64 );
    sig0  = uiA0;
    shiftCount = 0x402F - exp;
    if ( shiftCount <= 0 ) {
        if ( shiftCount < -15 ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
            return
                ! sign || ((exp == 0x7FFF) && (sig64 | sig0))
                    ? INT64_C( 0x7FFFFFFFFFFFFFFF )
                    : -INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1;
        }
        sig64 |= UINT64_C( 0x0001000000000000 );
        if ( shiftCount ) {
            sig128 = softfloat_shortShiftLeft128( sig64, sig0, -shiftCount );
            sig64 = sig128.v64;
            sig0  = sig128.v0;
        }
    } else {
        if ( exp ) sig64 |= UINT64_C( 0x0001000000000000 );
        sigExtra = softfloat_shiftRightJam64Extra( sig64, sig0, shiftCount );
        sig64 = sigExtra.v;
        sig0  = sigExtra.extra;
    }
    return softfloat_roundPackToI64( sign, sig64, sig0, roundingMode, exact );

}
Beispiel #10
0
float128_t
 softfloat_normRoundPackToF128(
     bool sign, int_fast32_t exp, uint_fast64_t sig64, uint_fast64_t sig0 )
{
    int_fast8_t shiftDist;
    struct uint128 sig128;
    union ui128_f128 uZ;
    uint_fast64_t sigExtra;
    struct uint128_extra sig128Extra;

    if ( ! sig64 ) {
        exp -= 64;
        sig64 = sig0;
        sig0 = 0;
    }
    shiftDist = softfloat_countLeadingZeros64( sig64 ) - 15;
    exp -= shiftDist;
    if ( 0 <= shiftDist ) {
        if ( shiftDist ) {
            sig128 = softfloat_shortShiftLeft128( sig64, sig0, shiftDist );
            sig64 = sig128.v64;
            sig0  = sig128.v0;
        }
        if ( (uint32_t) exp < 0x7FFD ) {
            uZ.ui.v64 = packToF128UI64( sign, sig64 | sig0 ? exp : 0, sig64 );
            uZ.ui.v0  = sig0;
            return uZ.f;
        }
        sigExtra = 0;
    } else {
        sig128Extra =
            softfloat_shortShiftRightJam128Extra( sig64, sig0, 0, -shiftDist );
        sig64 = sig128Extra.v.v64;
        sig0  = sig128Extra.v.v0;
        sigExtra = sig128Extra.extra;
    }
    return softfloat_roundPackToF128( sign, exp, sig64, sig0, sigExtra );

}
Beispiel #11
0
float128_t f128_mul( float128_t a, float128_t b )
{
    union ui128_f128 uA;
    uint_fast64_t uiA64, uiA0;
    bool signA;
    int_fast32_t expA;
    struct uint128 sigA;
    union ui128_f128 uB;
    uint_fast64_t uiB64, uiB0;
    bool signB;
    int_fast32_t expB;
    struct uint128 sigB;
    bool signZ;
    uint_fast64_t magBits;
    struct exp32_sig128 normExpSig;
    int_fast32_t expZ;
    uint64_t sig256Z[4];
    uint_fast64_t sigZExtra;
    struct uint128 sigZ;
    struct uint128_extra sig128Extra;
    struct uint128 uiZ;
    union ui128_f128 uZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA64 = uA.ui.v64;
    uiA0  = uA.ui.v0;
    signA = signF128UI64( uiA64 );
    expA  = expF128UI64( uiA64 );
    sigA.v64 = fracF128UI64( uiA64 );
    sigA.v0  = uiA0;
    uB.f = b;
    uiB64 = uB.ui.v64;
    uiB0  = uB.ui.v0;
    signB = signF128UI64( uiB64 );
    expB  = expF128UI64( uiB64 );
    sigB.v64 = fracF128UI64( uiB64 );
    sigB.v0  = uiB0;
    signZ = signA ^ signB;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( expA == 0x7FFF ) {
        if (
            (sigA.v64 | sigA.v0) || ((expB == 0x7FFF) && (sigB.v64 | sigB.v0))
        ) {
            goto propagateNaN;
        }
        magBits = expB | sigB.v64 | sigB.v0;
        goto infArg;
    }
    if ( expB == 0x7FFF ) {
        if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
        magBits = expA | sigA.v64 | sigA.v0;
        goto infArg;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! expA ) {
        if ( ! (sigA.v64 | sigA.v0) ) goto zero;
        normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
        expA = normExpSig.exp;
        sigA = normExpSig.sig;
    }
    if ( ! expB ) {
        if ( ! (sigB.v64 | sigB.v0) ) goto zero;
        normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
        expB = normExpSig.exp;
        sigB = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expZ = expA + expB - 0x4000;
    sigA.v64 |= UINT64_C( 0x0001000000000000 );
    sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 16 );
    softfloat_mul128To256M( sigA.v64, sigA.v0, sigB.v64, sigB.v0, sig256Z );
    sigZExtra = sig256Z[indexWord( 4, 1 )] | (sig256Z[indexWord( 4, 0 )] != 0);
    sigZ =
        softfloat_add128(
            sig256Z[indexWord( 4, 3 )], sig256Z[indexWord( 4, 2 )],
            sigA.v64, sigA.v0
        );
    if ( UINT64_C( 0x0002000000000000 ) <= sigZ.v64 ) {
        ++expZ;
        sig128Extra =
            softfloat_shortShiftRightJam128Extra(
                sigZ.v64, sigZ.v0, sigZExtra, 1 );
        sigZ = sig128Extra.v;
        sigZExtra = sig128Extra.extra;
    }
    return
        softfloat_roundPackToF128( signZ, expZ, sigZ.v64, sigZ.v0, sigZExtra );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 propagateNaN:
    uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
    goto uiZ;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 infArg:
    if ( ! magBits ) {
        softfloat_raiseFlags( softfloat_flag_invalid );
        uiZ.v64 = defaultNaNF128UI64;
        uiZ.v0  = defaultNaNF128UI0;
        goto uiZ;
    }
    uiZ.v64 = packToF128UI64( signZ, 0x7FFF, 0 );
    goto uiZ0;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zero:
    uiZ.v64 = packToF128UI64( signZ, 0, 0 );
 uiZ0:
    uiZ.v0 = 0;
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Beispiel #12
0
float64_t
 softfloat_mulAddF64(
     uint_fast64_t uiA, uint_fast64_t uiB, uint_fast64_t uiC, uint_fast8_t op )
{
    bool signA;
    int_fast16_t expA;
    uint_fast64_t sigA;
    bool signB;
    int_fast16_t expB;
    uint_fast64_t sigB;
    bool signC;
    int_fast16_t expC;
    uint_fast64_t sigC;
    bool signZ;
    uint_fast64_t magBits, uiZ;
    struct exp16_sig64 normExpSig;
    int_fast16_t expZ;
    struct uint128 sig128Z;
    uint_fast64_t sigZ;
    int_fast16_t expDiff;
    struct uint128 sig128C;
    int_fast8_t shiftCount;
    union ui64_f64 uZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    signA = signF64UI( uiA );
    expA  = expF64UI( uiA );
    sigA  = fracF64UI( uiA );
    signB = signF64UI( uiB );
    expB  = expF64UI( uiB );
    sigB  = fracF64UI( uiB );
    signC = signF64UI( uiC ) ^ (op == softfloat_mulAdd_subC);
    expC  = expF64UI( uiC );
    sigC  = fracF64UI( uiC );
    signZ = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( expA == 0x7FF ) {
        if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN_ABC;
        magBits = expB | sigB;
        goto infProdArg;
    }
    if ( expB == 0x7FF ) {
        if ( sigB ) goto propagateNaN_ABC;
        magBits = expA | sigA;
        goto infProdArg;
    }
    if ( expC == 0x7FF ) {
        if ( sigC ) {
            uiZ = 0;
            goto propagateNaN_ZC;
        }
        uiZ = uiC;
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! expA ) {
        if ( ! sigA ) goto zeroProd;
        normExpSig = softfloat_normSubnormalF64Sig( sigA );
        expA = normExpSig.exp;
        sigA = normExpSig.sig;
    }
    if ( ! expB ) {
        if ( ! sigB ) goto zeroProd;
        normExpSig = softfloat_normSubnormalF64Sig( sigB );
        expB = normExpSig.exp;
        sigB = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expZ = expA + expB - 0x3FE;
    sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
    sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<10;
    sig128Z = softfloat_mul64To128( sigA, sigB );
    if ( sig128Z.v64 < UINT64_C( 0x2000000000000000 ) ) {
        --expZ;
        sig128Z =
            softfloat_add128(
                sig128Z.v64, sig128Z.v0, sig128Z.v64, sig128Z.v0 );
    }
    if ( ! expC ) {
        if ( ! sigC ) {
            --expZ;
            sigZ = sig128Z.v64<<1 | (sig128Z.v0 != 0);
            goto roundPack;
        }
        normExpSig = softfloat_normSubnormalF64Sig( sigC );
        expC = normExpSig.exp;
        sigC = normExpSig.sig;
    }
    sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<9;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expDiff = expZ - expC;
    if ( expDiff < 0 ) {
        expZ = expC;
        if ( (signZ == signC) || (expDiff < -1) ) {
            sig128Z.v64 = softfloat_shiftRightJam64( sig128Z.v64, -expDiff );
        } else {
            sig128Z =
                softfloat_shortShiftRightJam128( sig128Z.v64, sig128Z.v0, 1 );
        }
    } else if ( expDiff ) {
        sig128C = softfloat_shiftRightJam128( sigC, 0, expDiff );
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( signZ == signC ) {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( expDiff <= 0 ) {
            sigZ = (sigC + sig128Z.v64) | (sig128Z.v0 != 0);
        } else {
            sig128Z =
                softfloat_add128(
                    sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
            sigZ = sig128Z.v64 | (sig128Z.v0 != 0);
        }
        if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
            --expZ;
            sigZ <<= 1;
        }
    } else {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( expDiff < 0 ) {
            signZ = signC;
            sig128Z = softfloat_sub128( sigC, 0, sig128Z.v64, sig128Z.v0 );
        } else if ( ! expDiff ) {
            sig128Z.v64 = sig128Z.v64 - sigC;
            if ( ! (sig128Z.v64 | sig128Z.v0) ) goto completeCancellation;
            if ( sig128Z.v64 & UINT64_C( 0x8000000000000000 ) ) {
                signZ ^= 1;
                sig128Z = softfloat_sub128( 0, 0, sig128Z.v64, sig128Z.v0 );
            }
        } else {
            sig128Z =
                softfloat_sub128(
                    sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
        }
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( ! sig128Z.v64 ) {
            expZ -= 64;
            sig128Z.v64 = sig128Z.v0;
            sig128Z.v0 = 0;
        }
        shiftCount = softfloat_countLeadingZeros64( sig128Z.v64 ) - 1;
        expZ -= shiftCount;
        if ( shiftCount < 0 ) {
            sigZ = softfloat_shortShiftRightJam64( sig128Z.v64, -shiftCount );
        } else {
            sig128Z =
                softfloat_shortShiftLeft128(
                    sig128Z.v64, sig128Z.v0, shiftCount );
            sigZ = sig128Z.v64;
        }
        sigZ |= (sig128Z.v0 != 0);
    }
 roundPack:
    return softfloat_roundPackToF64( signZ, expZ, sigZ );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 propagateNaN_ABC:
    uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
    goto propagateNaN_ZC;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 infProdArg:
    if ( magBits ) {
        uiZ = packToF64UI( signZ, 0x7FF, 0 );
        if ( expC != 0x7FF ) goto uiZ;
        if ( sigC ) goto propagateNaN_ZC;
        if ( signZ == signC ) goto uiZ;
    }
 invalid:
    softfloat_raiseFlags( softfloat_flag_invalid );
    uiZ = defaultNaNF64UI;
 propagateNaN_ZC:
    uiZ = softfloat_propagateNaNF64UI( uiZ, uiC );
    goto uiZ;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zeroProd:
    uiZ = uiC;
    if ( ! (expC | sigC) && (signZ != signC) ) {
 completeCancellation:
        uiZ =
            packToF64UI( softfloat_roundingMode == softfloat_round_min, 0, 0 );
    }
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Beispiel #13
0
float128_t
 softfloat_subMagsF128(
     uint_fast64_t uiA64,
     uint_fast64_t uiA0,
     uint_fast64_t uiB64,
     uint_fast64_t uiB0,
     bool signZ
 )
{
    int_fast32_t expA;
    struct uint128 sigA;
    int_fast32_t expB;
    struct uint128 sigB, sigZ;
    int_fast32_t expDiff, expZ;
    struct uint128 uiZ;
    union ui128_f128 uZ;

    expA = expF128UI64( uiA64 );
    sigA.v64 = fracF128UI64( uiA64 );
    sigA.v0  = uiA0;
    expB = expF128UI64( uiB64 );
    sigB.v64 = fracF128UI64( uiB64 );
    sigB.v0  = uiB0;
    sigA = softfloat_shortShiftLeft128( sigA.v64, sigA.v0, 4 );
    sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 4 );
    expDiff = expA - expB;
    if ( 0 < expDiff ) goto expABigger;
    if ( expDiff < 0 ) goto expBBigger;
    if ( expA == 0x7FFF ) {
        if ( sigA.v64 | sigA.v0 | sigB.v64 | sigB.v0 ) goto propagateNaN;
        softfloat_raiseFlags( softfloat_flag_invalid );
        uiZ.v64 = defaultNaNF128UI64;
        uiZ.v0  = defaultNaNF128UI0;
        goto uiZ;
    }
    expZ = expA;
    if ( ! expZ ) expZ = 1;
    if ( sigB.v64 < sigA.v64 ) goto aBigger;
    if ( sigA.v64 < sigB.v64 ) goto bBigger;
    if ( sigB.v0 < sigA.v0 ) goto aBigger;
    if ( sigA.v0 < sigB.v0 ) goto bBigger;
    uiZ.v64 =
        packToF128UI64(
            (softfloat_roundingMode == softfloat_round_min), 0, 0 );
    uiZ.v0 = 0;
    goto uiZ;
 expBBigger:
    if ( expB == 0x7FFF ) {
        if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
        uiZ.v64 = packToF128UI64( signZ ^ 1, 0x7FFF, 0 );
        uiZ.v0  = 0;
        goto uiZ;
    }
    if ( expA ) {
        sigA.v64 |= UINT64_C( 0x0010000000000000 );
    } else {
        ++expDiff;
        if ( ! expDiff ) goto newlyAlignedBBigger;
    }
    sigA = softfloat_shiftRightJam128( sigA.v64, sigA.v0, -expDiff );
 newlyAlignedBBigger:
    expZ = expB;
    sigB.v64 |= UINT64_C( 0x0010000000000000 );
 bBigger:
    signZ = ! signZ;
    sigZ = softfloat_sub128( sigB.v64, sigB.v0, sigA.v64, sigA.v0 );
    goto normRoundPack;
 expABigger:
    if ( expA == 0x7FFF ) {
        if ( sigA.v64 | sigA.v0 ) goto propagateNaN;
        uiZ.v64 = uiA64;
        uiZ.v0  = uiA0;
        goto uiZ;
    }
    if ( expB ) {
        sigB.v64 |= UINT64_C( 0x0010000000000000 );
    } else {
        --expDiff;
        if ( ! expDiff ) goto newlyAlignedABigger;
    }
    sigB = softfloat_shiftRightJam128( sigB.v64, sigB.v0, expDiff );
 newlyAlignedABigger:
    expZ = expA;
    sigA.v64 |= UINT64_C( 0x0010000000000000 );
 aBigger:
    sigZ = softfloat_sub128( sigA.v64, sigA.v0, sigB.v64, sigB.v0 );
 normRoundPack:
    return softfloat_normRoundPackToF128( signZ, expZ - 5, sigZ.v64, sigZ.v0 );
 propagateNaN:
    uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}