Example #1
0
void f64_to_f128M( float64_t a, float128_t *zPtr )
{
    uint32_t *zWPtr;
    union ui64_f64 uA;
    uint64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint64_t sig;
    struct commonNaN commonNaN;
    uint32_t uiZ96;
    struct exp16_sig64 normExpSig;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zWPtr = (uint32_t *) zPtr;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zWPtr[indexWord( 4, 0 )] = 0;
    if ( exp == 0x7FF ) {
        if ( sig ) {
            softfloat_f64UIToCommonNaN( uiA, &commonNaN );
            softfloat_commonNaNToF128M( &commonNaN, zWPtr );
            return;
        }
        uiZ96 = packToF128UI96( sign, 0x7FFF, 0 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! exp ) {
        if ( ! sig ) {
            uiZ96 = packToF128UI96( sign, 0, 0 );
            goto uiZ;
        }
        normExpSig = softfloat_normSubnormalF64Sig( sig );
        exp = normExpSig.exp - 1;
        sig = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zWPtr[indexWord( 4, 1 )] = (uint32_t) sig<<28;
    sig >>= 4;
    zWPtr[indexWordHi( 4 )] = packToF128UI96( sign, exp + 0x3C00, sig>>32 );
    zWPtr[indexWord( 4, 2 )] = sig;
    return;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 uiZ:
    zWPtr[indexWord( 4, 3 )] = uiZ96;
    zWPtr[indexWord( 4, 2 )] = 0;
    zWPtr[indexWord( 4, 1 )] = 0;

}
Example #2
0
extFloat80_t f64_to_extF80( float64_t a )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t frac;
    struct commonNaN commonNaN;
    struct uint128 uiZ;
    uint_fast16_t uiZ64;
    uint_fast64_t uiZ0;
    struct exp16_sig64 normExpSig;
    union { struct extFloat80M s; extFloat80_t f; } uZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    frac = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp == 0x7FF ) {
        if ( frac ) {
            softfloat_f64UIToCommonNaN( uiA, &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 ( ! frac ) {
            uiZ64 = packToExtF80UI64( sign, 0 );
            uiZ0  = 0;
            goto uiZ;
        }
        normExpSig = softfloat_normSubnormalF64Sig( frac );
        exp = normExpSig.exp;
        frac = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiZ64 = packToExtF80UI64( sign, exp + 0x3C00 );
    uiZ0  = (frac | UINT64_C( 0x0010000000000000 ))<<11;
 uiZ:
    uZ.s.signExp = uiZ64;
    uZ.s.signif  = uiZ0;
    return uZ.f;

}
Example #3
0
void f64_to_extF80M( float64_t a, extFloat80_t *zPtr )
{
    struct extFloat80M *zSPtr;
    union ui64_f64 uA;
    uint64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint64_t frac;
    struct commonNaN commonNaN;
    uint_fast16_t uiZ64;
    uint64_t uiZ0;
    struct exp16_sig64 normExpSig;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    zSPtr = (struct extFloat80M *) zPtr;
    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    frac = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp == 0x7FF ) {
        if ( frac ) {
            softfloat_f64UIToCommonNaN( uiA, &commonNaN );
            softfloat_commonNaNToExtF80M( &commonNaN, zSPtr );
            return;
        }
        uiZ64 = packToExtF80UI64( sign, 0x7FFF );
        uiZ0  = UINT64_C( 0x8000000000000000 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! exp ) {
        if ( ! frac ) {
            uiZ64 = packToExtF80UI64( sign, 0 );
            uiZ0  = 0;
            goto uiZ;
        }
        normExpSig = softfloat_normSubnormalF64Sig( frac );
        exp = normExpSig.exp;
        frac = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uiZ64 = packToExtF80UI64( sign, exp + 0x3C00 );
    uiZ0  = UINT64_C( 0x8000000000000000 ) | frac<<11;
 uiZ:
    zSPtr->signExp = uiZ64;
    zSPtr->signif  = uiZ0;

}
Example #4
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;

}
Example #5
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;

}
Example #6
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;
    uint64_t sigA;
    bool signB;
    int_fast16_t expB;
    uint64_t sigB;
    bool signC;
    int_fast16_t expC;
    uint64_t sigC;
    bool signZ;
    uint64_t magBits, uiZ;
    struct exp16_sig64 normExpSig;
    int_fast16_t expZ;
    uint32_t sig128Z[4];
    uint64_t sigZ;
    int_fast16_t shiftCount, expDiff;
    uint32_t sig128C[4];
    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 ))<<11;
    softfloat_mul64To128M( sigA, sigB, sig128Z );
    sigZ =
        (uint64_t) sig128Z[indexWord( 4, 3 )]<<32 | sig128Z[indexWord( 4, 2 )];
    shiftCount = 0;
    if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
        --expZ;
        shiftCount = -1;
    }
    if ( ! expC ) {
        if ( ! sigC ) {
            if ( shiftCount ) sigZ <<= 1;
            goto sigZ;
        }
        normExpSig = softfloat_normSubnormalF64Sig( sigC );
        expC = normExpSig.exp;
        sigC = normExpSig.sig;
    }
    sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<10;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expDiff = expZ - expC;
    if ( expDiff < 0 ) {
        expZ = expC;
        if ( (signZ == signC) || (expDiff < -1) ) {
            shiftCount -= expDiff;
            if ( shiftCount) {
                sigZ = softfloat_shiftRightJam64( sigZ, shiftCount );
            }
        } else {
            if ( ! shiftCount ) {
                softfloat_shortShiftRight128M( sig128Z, 1, sig128Z );
            }
        }
    } else {
        if ( shiftCount ) softfloat_add128M( sig128Z, sig128Z, sig128Z );
        if ( ! expDiff ) {
            sigZ =
                (uint64_t) sig128Z[indexWord( 4, 3 )]<<32
                    | sig128Z[indexWord( 4, 2 )];
        } else {
            sig128C[indexWord( 4, 3 )] = sigC>>32;
            sig128C[indexWord( 4, 2 )] = sigC;
            sig128C[indexWord( 4, 1 )] = 0;
            sig128C[indexWord( 4, 0 )] = 0;
            softfloat_shiftRightJam128M( sig128C, expDiff, sig128C );
        }
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( signZ == signC ) {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( expDiff <= 0 ) {
            sigZ += sigC;
        } else {
            softfloat_add128M( sig128Z, sig128C, sig128Z );
            sigZ =
                (uint64_t) sig128Z[indexWord( 4, 3 )]<<32
                    | sig128Z[indexWord( 4, 2 )];
        }
        if ( sigZ & UINT64_C( 0x8000000000000000 ) ) {
            ++expZ;
            sigZ = softfloat_shortShiftRightJam64( sigZ, 1 );
        }
    } else {
        /*--------------------------------------------------------------------
        *--------------------------------------------------------------------*/
        if ( expDiff < 0 ) {
            signZ = signC;
            if ( expDiff < -1 ) {
                sigZ = sigC - sigZ;
                if (
                    sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )]
                ) {
                    sigZ = (sigZ - 1) | 1;
                }
                if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
                    --expZ;
                    sigZ <<= 1;
                }
                goto roundPack;
            } else {
                sig128C[indexWord( 4, 3 )] = sigC>>32;
                sig128C[indexWord( 4, 2 )] = sigC;
                sig128C[indexWord( 4, 1 )] = 0;
                sig128C[indexWord( 4, 0 )] = 0;
                softfloat_sub128M( sig128C, sig128Z, sig128Z );
            }
        } else if ( ! expDiff ) {
Example #7
0
float64_t f64_mul( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool signA;
    int_fast16_t expA;
    uint_fast64_t sigA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signB;
    int_fast16_t expB;
    uint_fast64_t sigB;
    bool signZ;
    uint_fast64_t magBits;
    struct exp16_sig64 normExpSig;
    int_fast16_t expZ;
#ifdef SOFTFLOAT_FAST_INT64
    struct uint128 sig128Z;
#else
    uint32_t sig128Z[4];
#endif
    uint_fast64_t sigZ, uiZ;
    union ui64_f64 uZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    signA = signF64UI( uiA );
    expA  = expF64UI( uiA );
    sigA  = fracF64UI( uiA );
    uB.f = b;
    uiB = uB.ui;
    signB = signF64UI( uiB );
    expB  = expF64UI( uiB );
    sigB  = fracF64UI( uiB );
    signZ = signA ^ signB;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( expA == 0x7FF ) {
        if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN;
        magBits = expB | sigB;
        goto infArg;
    }
    if ( expB == 0x7FF ) {
        if ( sigB ) goto propagateNaN;
        magBits = expA | sigA;
        goto infArg;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( ! expA ) {
        if ( ! sigA ) goto zero;
        normExpSig = softfloat_normSubnormalF64Sig( sigA );
        expA = normExpSig.exp;
        sigA = normExpSig.sig;
    }
    if ( ! expB ) {
        if ( ! sigB ) goto zero;
        normExpSig = softfloat_normSubnormalF64Sig( sigB );
        expB = normExpSig.exp;
        sigB = normExpSig.sig;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    expZ = expA + expB - 0x3FF;
    sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
    sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<11;
#ifdef SOFTFLOAT_FAST_INT64
    sig128Z = softfloat_mul64To128( sigA, sigB );
    sigZ = sig128Z.v64 | (sig128Z.v0 != 0);
#else
    softfloat_mul64To128M( sigA, sigB, sig128Z );
    sigZ =
        (uint64_t) sig128Z[indexWord( 4, 3 )]<<32 | sig128Z[indexWord( 4, 2 )];
    if ( sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )] ) sigZ |= 1;
#endif
    if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
        --expZ;
        sigZ <<= 1;
    }
    return softfloat_roundPackToF64( signZ, expZ, sigZ );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 propagateNaN:
    uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
    goto uiZ;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 infArg:
    if ( ! magBits ) {
        softfloat_raiseFlags( softfloat_flag_invalid );
        uiZ = defaultNaNF64UI;
    } else {
        uiZ = packToF64UI( signZ, 0x7FF, 0 );
    }
    goto uiZ;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 zero:
    uiZ = packToF64UI( signZ, 0, 0 );
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Example #8
0
float64_t f64_mul( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool signA;
    int_fast16_t expA;
    uint_fast64_t sigA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signB;
    int_fast16_t expB;
    uint_fast64_t sigB;
    bool signZ;
    uint_fast64_t magBits;
    struct exp16_sig64 normExpSig;
    int_fast16_t expZ;
    struct uint128 sigZ128;
    uint_fast64_t sigZ, uiZ;
    union ui64_f64 uZ;

    uA.f = a;
    uiA = uA.ui;
    signA = signF64UI( uiA );
    expA = expF64UI( uiA );
    sigA = fracF64UI( uiA );
    uB.f = b;
    uiB = uB.ui;
    signB = signF64UI( uiB );
    expB = expF64UI( uiB );
    sigB = fracF64UI( uiB );
    signZ = signA ^ signB;
    if ( expA == 0x7FF ) {
        if ( sigA || ( ( expB == 0x7FF ) && sigB ) ) goto propagateNaN;
        magBits = expB | sigB;
        goto infArg;
    }
    if ( expB == 0x7FF ) {
        if ( sigB ) goto propagateNaN;
        magBits = expA | sigA;
        goto infArg;
    }
    if ( ! expA ) {
        if ( ! sigA ) goto zero;
        normExpSig = softfloat_normSubnormalF64Sig( sigA );
        expA = normExpSig.exp;
        sigA = normExpSig.sig;
    }
    if ( ! expB ) {
        if ( ! sigB ) goto zero;
        normExpSig = softfloat_normSubnormalF64Sig( sigB );
        expB = normExpSig.exp;
        sigB = normExpSig.sig;
    }
    expZ = expA + expB - 0x3FF;
    sigA = ( sigA | UINT64_C( 0x0010000000000000 ) )<<10;
    sigB = ( sigB | UINT64_C( 0x0010000000000000 ) )<<11;
    sigZ128 = softfloat_mul64To128( sigA, sigB );
    sigZ = sigZ128.v64 | ( sigZ128.v0 != 0 );
    if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
        --expZ;
        sigZ <<= 1;
    }
    return softfloat_roundPackToF64( signZ, expZ, sigZ );
 propagateNaN:
    uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
    goto uiZ;
 infArg:
    if ( ! magBits ) {
        softfloat_raiseFlags( softfloat_flag_invalid );
        uiZ = defaultNaNF64UI;
    } else {
        uiZ = packToF64UI( signZ, 0x7FF, 0 );
    }
    goto uiZ;
 zero:
    uiZ = packToF64UI( signZ, 0, 0 );
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Example #9
0
float64_t f64_div( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool signA;
    int_fast16_t expA;
    uint_fast64_t sigA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signB;
    int_fast16_t expB;
    uint_fast64_t sigB;
    bool signZ;
    struct exp16_sig64 normExpSig;
    int_fast16_t expZ;
    uint_fast64_t sigZ;
    struct uint128 term, rem;
    uint_fast64_t uiZ;
    union ui64_f64 uZ;

    uA.f = a;
    uiA = uA.ui;
    signA = signF64UI( uiA );
    expA = expF64UI( uiA );
    sigA = fracF64UI( uiA );
    uB.f = b;
    uiB = uB.ui;
    signB = signF64UI( uiB );
    expB = expF64UI( uiB );
    sigB = fracF64UI( uiB );
    signZ = signA ^ signB;
    if ( expA == 0x7FF ) {
        if ( sigA ) goto propagateNaN;
        if ( expB == 0x7FF ) {
            if ( sigB ) goto propagateNaN;
            goto invalid;
        }
        goto infinity;
    }
    if ( expB == 0x7FF ) {
        if ( sigB ) goto propagateNaN;
        goto zero;
    }
    if ( ! expB ) {
        if ( ! sigB ) {
            if ( ! ( expA | sigA ) ) goto invalid;
            softfloat_raiseFlags( softfloat_flag_infinity );
            goto infinity;
        }
        normExpSig = softfloat_normSubnormalF64Sig( sigB );
        expB = normExpSig.exp;
        sigB = normExpSig.sig;
    }
    if ( ! expA ) {
        if ( ! sigA ) goto zero;
        normExpSig = softfloat_normSubnormalF64Sig( sigA );
        expA = normExpSig.exp;
        sigA = normExpSig.sig;
    }
    expZ = expA - expB + 0x3FD;
    sigA = ( sigA | UINT64_C( 0x0010000000000000 ) )<<10;
    sigB = ( sigB | UINT64_C( 0x0010000000000000 ) )<<11;
    if ( sigB <= ( sigA + sigA ) ) {
        ++expZ;
        sigA >>= 1;
    }