Exemplo n.º 1
0
float64_t f64_sub( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool signA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signB;
#if ! defined INLINE_LEVEL || (INLINE_LEVEL < 2)
    float64_t (*magsFuncPtr)( uint_fast64_t, uint_fast64_t, bool );
#endif

    uA.f = a;
    uiA = uA.ui;
    signA = signF64UI( uiA );
    uB.f = b;
    uiB = uB.ui;
    signB = signF64UI( uiB );
#if defined INLINE_LEVEL && (2 <= INLINE_LEVEL)
    if ( signA == signB ) {
        return softfloat_subMagsF64( uiA, uiB, signA );
    } else {
        return softfloat_addMagsF64( uiA, uiB, signA );
    }
#else
    magsFuncPtr =
        (signA == signB) ? softfloat_subMagsF64 : softfloat_addMagsF64;
    return (*magsFuncPtr)( uiA, uiB, signA );
#endif

}
Exemplo n.º 2
0
bool f64_lt_quiet( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signA, signB;

    uA.f = a;
    uiA = uA.ui;
    uB.f = b;
    uiB = uB.ui;
    if ( isNaNF64UI( uiA ) || isNaNF64UI( uiB ) ) {
        if (
            softfloat_isSigNaNF64UI( uiA ) || softfloat_isSigNaNF64UI( uiB )
        ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
        }
        return false;
    }
    signA = signF64UI( uiA );
    signB = signF64UI( uiB );
    return
        (signA != signB)
            ? signA && ((uiA | uiB) & UINT64_C( 0x7FFFFFFFFFFFFFFF ))
            : (uiA != uiB) && (signA ^ (uiA < uiB));

}
Exemplo n.º 3
0
uint_fast64_t f64_to_ui64( float64_t a, int_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
    struct uint64_extra sigExtra;

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    if ( exp ) sig |= UINT64_C( 0x0010000000000000 );
    shiftCount = 0x433 - exp;
    if ( shiftCount <= 0 ) {
        if ( 0x43E < exp ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
            return UINT64_C( 0xFFFFFFFFFFFFFFFF );
        }
        sigExtra.v = sig<<( - shiftCount );
        sigExtra.extra = 0;
    } else {
        sigExtra = softfloat_shift64ExtraRightJam( sig, 0, shiftCount );
    }
    return
        softfloat_roundPackToUI64(
            sign, sigExtra.v, sigExtra.extra, roundingMode, exact );

}
Exemplo n.º 4
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;

}
Exemplo n.º 5
0
uint_fast32_t f64_to_ui32_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
    uint_fast32_t z;

    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    if ( exp < 0x3FF ) {
        if ( exact && ( exp | sig ) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    if ( signF64UI( uiA ) || ( 0x41E < exp ) ) {
        softfloat_raiseFlags( softfloat_flag_invalid );
        return 0xFFFFFFFF;
    }
    sig |= UINT64_C( 0x0010000000000000 );
    shiftCount = 0x433 - exp;
    z = sig>>shiftCount;
    if ( exact && ( (uint_fast64_t) z<<shiftCount != sig ) ) {
        softfloat_exceptionFlags |= softfloat_flag_inexact;
    }
    return z;

}
Exemplo n.º 6
0
float32_t f64_to_f32( float64_t a )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    uint_fast32_t uiZ, sig32;
    union ui32_f32 uZ;

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    if ( exp == 0x7FF ) {
        uiZ =
            sig ? softfloat_commonNaNToF32UI(
                      softfloat_f64UIToCommonNaN( uiA ) )
                : packToF32UI( sign, 0xFF, 0 );
        goto uiZ;
    }
    sig32 = softfloat_shortShift64RightJam( sig, 22 );
    if ( ! ( exp | sig32 ) ) {
        uiZ = packToF32UI( sign, 0, 0 );
        goto uiZ;
    }
    return softfloat_roundPackToF32( sign, exp - 0x381, sig32 | 0x40000000 );
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Exemplo n.º 7
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;

}
Exemplo n.º 8
0
int_fast64_t f64_to_i64( float64_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
#ifdef SOFTFLOAT_FAST_INT64
    struct uint64_extra sigExtra;
#else
    uint32_t extSig[3];
#endif

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    if ( exp ) sig |= UINT64_C( 0x0010000000000000 );
    shiftCount = 0x433 - exp;
#ifdef SOFTFLOAT_FAST_INT64
    if ( shiftCount <= 0 ) {
        if ( shiftCount < -11 ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
            return
                ! sign
                    || ((exp == 0x7FF)
                            && (sig != UINT64_C( 0x0010000000000000 )))
                    ? INT64_C( 0x7FFFFFFFFFFFFFFF )
                    : -INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1;
        }
        sigExtra.v = sig<<-shiftCount;
        sigExtra.extra = 0;
    } else {
        sigExtra = softfloat_shiftRightJam64Extra( sig, 0, shiftCount );
    }
    return
        softfloat_roundPackToI64(
            sign, sigExtra.v, sigExtra.extra, roundingMode, exact );
#else
    extSig[indexWord( 3, 0 )] = 0;
    if ( shiftCount <= 0 ) {
        if ( shiftCount < -11 ) {
            softfloat_raiseFlags( softfloat_flag_invalid );
            return
                ! sign
                    || ((exp == 0x7FF)
                            && (sig != UINT64_C( 0x0010000000000000 )))
                    ? INT64_C( 0x7FFFFFFFFFFFFFFF )
                    : -INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1;
        }
        sig <<= -shiftCount;
        extSig[indexWord( 3, 2 )] = sig>>32;
        extSig[indexWord( 3, 1 )] = sig;
    } else {
Exemplo n.º 9
0
float64_t f64_roundToInt( float64_t a, int_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t expA;
    uint_fast64_t uiZ;
    bool signA;
    uint_fast64_t lastBitMask, roundBitsMask;
    union ui64_f64 uZ;

    uA.f = a;
    uiA = uA.ui;
    expA = expF64UI( uiA );
    if ( 0x433 <= expA ) {
        if ( ( expA == 0x7FF ) && fracF64UI( uiA ) ) {
            uiZ = softfloat_propagateNaNF64UI( uiA, 0 );
            goto uiZ;
        }
        return a;
    }
    if ( expA <= 0x3FE ) {
        if ( ! ( uiA & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) ) return a;
        if ( exact ) softfloat_raiseFlags( softfloat_flag_inexact );
        signA = signF64UI( uiA );
        switch ( roundingMode ) {
         case softfloat_round_nearest_even:
            if ( ( expA == 0x3FE ) && fracF64UI( uiA ) ) {
                uiZ = packToF64UI( signA, 0x3FF, 0 );
                goto uiZ;
            }
            break;
         case softfloat_round_min:
            uiZ = signA ? UINT64_C( 0xBFF0000000000000 ) : 0;
            goto uiZ;
         case softfloat_round_max:
            uiZ =
                signA ? UINT64_C( 0x8000000000000000 )
                    : UINT64_C( 0x3FF0000000000000 );
            goto uiZ;
         case softfloat_round_nearest_maxMag:
            if ( expA == 0x3FE ) {
                uiZ = packToF64UI( signA, 0x3FF, 0 );
                goto uiZ;
            }
            break;
        }
        uiZ = packToF64UI( signA, 0, 0 );
        goto uiZ;
    }
    lastBitMask = (uint_fast64_t) 1<<( 0x433 - expA );
    roundBitsMask = lastBitMask - 1;
    uiZ = uiA;
    if ( roundingMode == softfloat_round_nearest_maxMag ) {
        uiZ += lastBitMask>>1;
    } else if ( roundingMode == softfloat_round_nearest_even ) {
Exemplo n.º 10
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;

}
Exemplo n.º 11
0
float64_t f64_sub( float64_t a, float64_t b )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool signA;
    union ui64_f64 uB;
    uint_fast64_t uiB;
    bool signB;
    float64_t ( *magsRoutine )( uint_fast64_t, uint_fast64_t, bool );

    uA.f = a;
    uiA = uA.ui;
    signA = signF64UI( uiA );
    uB.f = b;
    uiB = uB.ui;
    signB = signF64UI( uiB );
    magsRoutine =
        ( signA == signB ) ? softfloat_subMagsF64 : softfloat_addMagsF64;
    return magsRoutine( uiA, uiB, signA );

}
Exemplo n.º 12
0
int_fast32_t f64_to_i32_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftDist;
    bool sign;
    int_fast32_t absZ;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    shiftDist = 0x433 - exp;
    if ( 53 <= shiftDist ) {
        if ( exact && (exp | sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    sign = signF64UI( uiA );
    if ( shiftDist < 22 ) {
        if (
            sign && (exp == 0x41E) && (sig < UINT64_C( 0x0000000000200000 ))
        ) {
            if ( exact && sig ) {
                softfloat_exceptionFlags |= softfloat_flag_inexact;
            }
            return -0x7FFFFFFF - 1;
        }
        softfloat_raiseFlags( softfloat_flag_invalid );
        return
            (exp == 0x7FF) && sig ? i32_fromNaN
                : sign ? i32_fromNegOverflow : i32_fromPosOverflow;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    sig |= UINT64_C( 0x0010000000000000 );
    absZ = sig>>shiftDist;
    if ( exact && ((uint_fast64_t) (uint_fast32_t) absZ<<shiftDist != sig) ) {
        softfloat_exceptionFlags |= softfloat_flag_inexact;
    }
    return sign ? -absZ : absZ;

}
Exemplo n.º 13
0
uint_fast64_t f64_to_ui64_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftDist;
    bool sign;
    uint_fast64_t z;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    shiftDist = 0x433 - exp;
    if ( 53 <= shiftDist ) {
        if ( exact && (exp | sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    sign = signF64UI( uiA );
    if ( sign ) goto invalid;
    if ( shiftDist <= 0 ) {
        if ( shiftDist < -11 ) goto invalid;
        z = (sig | UINT64_C( 0x0010000000000000 ))<<-shiftDist;
    } else {
        sig |= UINT64_C( 0x0010000000000000 );
        z = sig>>shiftDist;
        if ( exact && (uint64_t) (sig<<(-shiftDist & 63)) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
    }
    return z;
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
 invalid:
    softfloat_raiseFlags( softfloat_flag_invalid );
    return
        (exp == 0x7FF) && sig ? ui64_fromNaN
            : sign ? ui64_fromNegOverflow : ui64_fromPosOverflow;

}
Exemplo n.º 14
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;

}
Exemplo n.º 15
0
uint_fast32_t f64_to_ui32_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftDist;
    bool sign;
    uint_fast32_t z;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    shiftDist = 0x433 - exp;
    if ( 53 <= shiftDist ) {
        if ( exact && (exp | sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    sign = signF64UI( uiA );
    if ( sign || (shiftDist < 21) ) {
        softfloat_raiseFlags( softfloat_flag_invalid );
        return
            (exp == 0x7FF) && sig ? ui32_fromNaN
                : sign ? ui32_fromNegOverflow : ui32_fromPosOverflow;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    sig |= UINT64_C( 0x0010000000000000 );
    z = sig>>shiftDist;
    if ( exact && ((uint_fast64_t) z<<shiftDist != sig) ) {
        softfloat_exceptionFlags |= softfloat_flag_inexact;
    }
    return z;

}
Exemplo n.º 16
0
float16_t f64_to_f16( float64_t a )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t frac;
    struct commonNaN commonNaN;
    uint_fast16_t uiZ, frac16;
    union ui16_f16 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_commonNaNToF16UI( &commonNaN );
        } else {
            uiZ = packToF16UI( sign, 0x1F, 0 );
        }
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    frac16 = softfloat_shortShiftRightJam64( frac, 38 );
    if ( ! (exp | frac16) ) {
        uiZ = packToF16UI( sign, 0, 0 );
        goto uiZ;
    }
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    return softfloat_roundPackToF16( sign, exp - 0x3F1, frac16 | 0x4000 );
 uiZ:
    uZ.ui = uiZ;
    return uZ.f;

}
Exemplo n.º 17
0
int_fast64_t f64_to_i64_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
    int_fast64_t absZ;

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    shiftCount = 0x433 - exp;
    if ( shiftCount <= 0 ) {
        if ( shiftCount < -10 ) {
            if ( uiA != packToF64UI( 1, 0x43E, 0 ) ) {
                softfloat_raiseFlags( softfloat_flag_invalid );
                if ( ! sign || ((exp == 0x7FF) && sig) ) {
                    return INT64_C( 0x7FFFFFFFFFFFFFFF );
                }
            }
            return -INT64_C( 0x7FFFFFFFFFFFFFFF ) - 1;
        }
        sig |= UINT64_C( 0x0010000000000000 );
        absZ = sig<<-shiftCount;
    } else {
        if ( 53 <= shiftCount ) {
            if ( exact && (exp | sig) ) {
                softfloat_exceptionFlags |= softfloat_flag_inexact;
            }
            return 0;
        }
        sig |= UINT64_C( 0x0010000000000000 );
        absZ = sig>>shiftCount;
        if ( exact && (absZ<<shiftCount != sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
    }
    return sign ? -absZ : absZ;

}
Exemplo n.º 18
0
uint_fast64_t f64_to_ui64( float64_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftDist;
#ifdef SOFTFLOAT_FAST_INT64
    struct uint64_extra sigExtra;
#else
    uint32_t extSig[3];
#endif

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp ) sig |= UINT64_C( 0x0010000000000000 );
    shiftDist = 0x433 - exp;
#ifdef SOFTFLOAT_FAST_INT64
    if ( shiftDist <= 0 ) {
        if ( shiftDist < -11 ) goto invalid;
        sigExtra.v = sig<<-shiftDist;
        sigExtra.extra = 0;
    } else {
        sigExtra = softfloat_shiftRightJam64Extra( sig, 0, shiftDist );
    }
    return
        softfloat_roundToUI64(
            sign, sigExtra.v, sigExtra.extra, roundingMode, exact );
#else
    extSig[indexWord( 3, 0 )] = 0;
    if ( shiftDist <= 0 ) {
        if ( shiftDist < -11 ) goto invalid;
        sig <<= -shiftDist;
        extSig[indexWord( 3, 2 )] = sig>>32;
        extSig[indexWord( 3, 1 )] = sig;
    } else {
Exemplo n.º 19
0
int_fast32_t f64_to_i32_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
    bool sign;
    int_fast32_t absZ;

    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    shiftCount = 0x433 - exp;
    if ( 53 <= shiftCount ) {
        if ( exact && (exp | sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    sign = signF64UI( uiA );
    if ( shiftCount < 22 ) {
        if (
            sign && (exp == 0x41E) && (sig < UINT64_C( 0x0000000000200000 ))
        ) {
            if ( exact && sig ) {
                softfloat_exceptionFlags |= softfloat_flag_inexact;
            }
        } else {
            softfloat_raiseFlags( softfloat_flag_invalid );
            if ( ! sign || ((exp == 0x7FF) && sig) ) return 0x7FFFFFFF;
        }
        return -0x7FFFFFFF - 1;
    }
    sig |= UINT64_C( 0x0010000000000000 );
    absZ = sig>>shiftCount;
    if ( exact && ((uint_fast64_t) (uint_fast32_t) absZ<<shiftCount != sig) ) {
        softfloat_exceptionFlags |= softfloat_flag_inexact;
    }
    return sign ? -absZ : absZ;

}
Exemplo n.º 20
0
int_fast32_t f64_to_i32_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    bool sign;
    int_fast16_t shiftCount;
    uint_fast32_t absZ;
    union { uint32_t ui; int32_t i; } uZ;
    int_fast32_t z;

    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    if ( exp < 0x3FF ) {
        if ( exact && ( exp | sig ) ) {
            softfloat_raiseFlags( softfloat_flag_inexact );
        }
        return 0;
    }
    sign = signF64UI( uiA );
    if ( 0x41E < exp ) {
        if ( ( exp == 0x7FF ) && sig ) sign = 0;
        goto invalid;
    }
    sig |= UINT64_C( 0x0010000000000000 );
    shiftCount = 0x433 - exp;
    absZ = sig>>shiftCount;
    uZ.ui = sign ? - absZ : absZ;
    z = uZ.i;
    if ( ( z < 0 ) != sign ) goto invalid;
    if ( exact && ( (uint_fast64_t) absZ<<shiftCount != sig ) ) {
        softfloat_raiseFlags( softfloat_flag_inexact );
    }
    return z;
 invalid:
    softfloat_raiseFlags( softfloat_flag_invalid );
    return sign ? -0x7FFFFFFF - 1 : 0x7FFFFFFF;

}
Exemplo n.º 21
0
uint_fast32_t f64_to_ui32( float64_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;

    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    if ( exp ) sig |= UINT64_C( 0x0010000000000000 );
    shiftCount = 0x42C - exp;
    if ( 0 < shiftCount ) sig = softfloat_shiftRightJam64( sig, shiftCount );
    return softfloat_roundPackToUI32( sign, sig, roundingMode, exact );

}
Exemplo n.º 22
0
int_fast32_t f64_to_i32( float64_t a, uint_fast8_t roundingMode, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    bool sign;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftDist;

    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    uA.f = a;
    uiA = uA.ui;
    sign = signF64UI( uiA );
    exp  = expF64UI( uiA );
    sig  = fracF64UI( uiA );
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
#if (i32_fromNaN != i32_fromPosOverflow) || (i32_fromNaN != i32_fromNegOverflow)
    if ( (exp == 0x7FF) && sig ) {
#if (i32_fromNaN == i32_fromPosOverflow)
        sign = 0;
#elif (i32_fromNaN == i32_fromNegOverflow)
        sign = 1;
#else
        softfloat_raiseFlags( softfloat_flag_invalid );
        return i32_fromNaN;
#endif
    }
#endif
    /*------------------------------------------------------------------------
    *------------------------------------------------------------------------*/
    if ( exp ) sig |= UINT64_C( 0x0010000000000000 );
    shiftDist = 0x42C - exp;
    if ( 0 < shiftDist ) sig = softfloat_shiftRightJam64( sig, shiftDist );
    return softfloat_roundPackToI32( sign, sig, roundingMode, exact );

}
Exemplo n.º 23
0
uint_fast64_t f64_to_ui64_r_minMag( float64_t a, bool exact )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;
    int_fast16_t exp;
    uint_fast64_t sig;
    int_fast16_t shiftCount;
    uint_fast64_t z;

    uA.f = a;
    uiA = uA.ui;
    exp = expF64UI( uiA );
    sig = fracF64UI( uiA );
    shiftCount = 0x433 - exp;
    if ( 53 <= shiftCount ) {
        if ( exact && (exp | sig) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
        return 0;
    }
    if ( signF64UI( uiA ) ) goto invalid;
    if ( shiftCount <= 0 ) {
        if ( shiftCount < -11 ) goto invalid;
        z = (sig | UINT64_C( 0x0010000000000000 ))<<-shiftCount;
    } else {
        sig |= UINT64_C( 0x0010000000000000 );
        z = sig>>shiftCount;
        if ( exact && (uint64_t) (sig<<(-shiftCount & 63)) ) {
            softfloat_exceptionFlags |= softfloat_flag_inexact;
        }
    }
    return z;
 invalid:
    softfloat_raiseFlags( softfloat_flag_invalid );
    return UINT64_C( 0xFFFFFFFFFFFFFFFF );

}
Exemplo n.º 24
0
uint_fast16_t f64_classify( float64_t a )
{
    union ui64_f64 uA;
    uint_fast64_t uiA;

    uA.f = a;
    uiA = uA.ui;

    uint_fast16_t infOrNaN = expF64UI( uiA ) == 0x7FF;
    uint_fast16_t subnormalOrZero = expF64UI( uiA ) == 0;
    bool sign = signF64UI( uiA );

    return
        (  sign && infOrNaN && fracF64UI( uiA ) == 0 )          << 0 |
        (  sign && !infOrNaN && !subnormalOrZero )              << 1 |
        (  sign && subnormalOrZero && fracF64UI( uiA ) )        << 2 |
        (  sign && subnormalOrZero && fracF64UI( uiA ) == 0 )   << 3 |
        ( !sign && infOrNaN && fracF64UI( uiA ) == 0 )          << 7 |
        ( !sign && !infOrNaN && !subnormalOrZero )              << 6 |
        ( !sign && subnormalOrZero && fracF64UI( uiA ) )        << 5 |
        ( !sign && subnormalOrZero && fracF64UI( uiA ) == 0 )   << 4 |
        ( isNaNF64UI( uiA ) &&  softfloat_isSigNaNF64UI( uiA )) << 8 |
        ( isNaNF64UI( uiA ) && !softfloat_isSigNaNF64UI( uiA )) << 9;
}
Exemplo n.º 25
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;
    }
Exemplo n.º 26
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;

}
Exemplo n.º 27
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;

}
Exemplo n.º 28
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 ) {
Exemplo n.º 29
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;

}