Commit dbe4d53a authored by Alex Bennée's avatar Alex Bennée
Browse files

fpu/softfloat: re-factor round_to_int



We can now add float16_round_to_int and use the common round_decomposed and
canonicalize functions to have a single implementation for
float16/32/64 round_to_int functions.

Signed-off-by: default avatarAlex Bennée <alex.bennee@linaro.org>
Signed-off-by: default avatarRichard Henderson <richard.henderson@linaro.org>
Reviewed-by: default avatarPeter Maydell <peter.maydell@linaro.org>
parent d446830a
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+145 −174
Original line number Diff line number Diff line
@@ -560,6 +560,25 @@ static bool is_qnan(FloatClass c)
    return c == float_class_qnan;
}

static FloatParts return_nan(FloatParts a, float_status *s)
{
    switch (a.cls) {
    case float_class_snan:
        s->float_exception_flags |= float_flag_invalid;
        a.cls = float_class_msnan;
        /* fall through */
    case float_class_qnan:
        if (s->default_nan_mode) {
            a.cls = float_class_dnan;
        }
        break;

    default:
        g_assert_not_reached();
    }
    return a;
}

static FloatParts pick_nan(FloatParts a, FloatParts b, float_status *s)
{
    if (is_snan(a.cls) || is_snan(b.cls)) {
@@ -1175,6 +1194,132 @@ float64 float64_div(float64 a, float64 b, float_status *status)
    return float64_round_pack_canonical(pr, status);
}

/*
 * Rounds the floating-point value `a' to an integer, and returns the
 * result as a floating-point value. The operation is performed
 * according to the IEC/IEEE Standard for Binary Floating-Point
 * Arithmetic.
 */

static FloatParts round_to_int(FloatParts a, int rounding_mode, float_status *s)
{
    if (is_nan(a.cls)) {
        return return_nan(a, s);
    }

    switch (a.cls) {
    case float_class_zero:
    case float_class_inf:
    case float_class_qnan:
        /* already "integral" */
        break;
    case float_class_normal:
        if (a.exp >= DECOMPOSED_BINARY_POINT) {
            /* already integral */
            break;
        }
        if (a.exp < 0) {
            bool one;
            /* all fractional */
            s->float_exception_flags |= float_flag_inexact;
            switch (rounding_mode) {
            case float_round_nearest_even:
                one = a.exp == -1 && a.frac > DECOMPOSED_IMPLICIT_BIT;
                break;
            case float_round_ties_away:
                one = a.exp == -1 && a.frac >= DECOMPOSED_IMPLICIT_BIT;
                break;
            case float_round_to_zero:
                one = false;
                break;
            case float_round_up:
                one = !a.sign;
                break;
            case float_round_down:
                one = a.sign;
                break;
            default:
                g_assert_not_reached();
            }

            if (one) {
                a.frac = DECOMPOSED_IMPLICIT_BIT;
                a.exp = 0;
            } else {
                a.cls = float_class_zero;
            }
        } else {
            uint64_t frac_lsb = DECOMPOSED_IMPLICIT_BIT >> a.exp;
            uint64_t frac_lsbm1 = frac_lsb >> 1;
            uint64_t rnd_even_mask = (frac_lsb - 1) | frac_lsb;
            uint64_t rnd_mask = rnd_even_mask >> 1;
            uint64_t inc;

            switch (rounding_mode) {
            case float_round_nearest_even:
                inc = ((a.frac & rnd_even_mask) != frac_lsbm1 ? frac_lsbm1 : 0);
                break;
            case float_round_ties_away:
                inc = frac_lsbm1;
                break;
            case float_round_to_zero:
                inc = 0;
                break;
            case float_round_up:
                inc = a.sign ? 0 : rnd_mask;
                break;
            case float_round_down:
                inc = a.sign ? rnd_mask : 0;
                break;
            default:
                g_assert_not_reached();
            }

            if (a.frac & rnd_mask) {
                s->float_exception_flags |= float_flag_inexact;
                a.frac += inc;
                a.frac &= ~rnd_mask;
                if (a.frac & DECOMPOSED_OVERFLOW_BIT) {
                    a.frac >>= 1;
                    a.exp++;
                }
            }
        }
        break;
    default:
        g_assert_not_reached();
    }
    return a;
}

float16 float16_round_to_int(float16 a, float_status *s)
{
    FloatParts pa = float16_unpack_canonical(a, s);
    FloatParts pr = round_to_int(pa, s->float_rounding_mode, s);
    return float16_round_pack_canonical(pr, s);
}

float32 float32_round_to_int(float32 a, float_status *s)
{
    FloatParts pa = float32_unpack_canonical(a, s);
    FloatParts pr = round_to_int(pa, s->float_rounding_mode, s);
    return float32_round_pack_canonical(pr, s);
}

float64 float64_round_to_int(float64 a, float_status *s)
{
    FloatParts pa = float64_unpack_canonical(a, s);
    FloatParts pr = round_to_int(pa, s->float_rounding_mode, s);
    return float64_round_pack_canonical(pr, s);
}

float64 float64_trunc_to_int(float64 a, float_status *s)
{
    FloatParts pa = float64_unpack_canonical(a, s);
    FloatParts pr = round_to_int(pa, float_round_to_zero, s);
    return float64_round_pack_canonical(pr, s);
}

/*----------------------------------------------------------------------------
| Takes a 64-bit fixed-point value `absZ' with binary point between bits 6
| and 7, and returns the properly rounded 32-bit integer corresponding to the
@@ -2905,87 +3050,6 @@ float128 float32_to_float128(float32 a, float_status *status)

}

/*----------------------------------------------------------------------------
| Rounds the single-precision floating-point value `a' to an integer, and
| returns the result as a single-precision floating-point value.  The
| operation is performed according to the IEC/IEEE Standard for Binary
| Floating-Point Arithmetic.
*----------------------------------------------------------------------------*/

float32 float32_round_to_int(float32 a, float_status *status)
{
    flag aSign;
    int aExp;
    uint32_t lastBitMask, roundBitsMask;
    uint32_t z;
    a = float32_squash_input_denormal(a, status);

    aExp = extractFloat32Exp( a );
    if ( 0x96 <= aExp ) {
        if ( ( aExp == 0xFF ) && extractFloat32Frac( a ) ) {
            return propagateFloat32NaN(a, a, status);
        }
        return a;
    }
    if ( aExp <= 0x7E ) {
        if ( (uint32_t) ( float32_val(a)<<1 ) == 0 ) return a;
        status->float_exception_flags |= float_flag_inexact;
        aSign = extractFloat32Sign( a );
        switch (status->float_rounding_mode) {
         case float_round_nearest_even:
            if ( ( aExp == 0x7E ) && extractFloat32Frac( a ) ) {
                return packFloat32( aSign, 0x7F, 0 );
            }
            break;
        case float_round_ties_away:
            if (aExp == 0x7E) {
                return packFloat32(aSign, 0x7F, 0);
            }
            break;
         case float_round_down:
            return make_float32(aSign ? 0xBF800000 : 0);
         case float_round_up:
            return make_float32(aSign ? 0x80000000 : 0x3F800000);
        }
        return packFloat32( aSign, 0, 0 );
    }
    lastBitMask = 1;
    lastBitMask <<= 0x96 - aExp;
    roundBitsMask = lastBitMask - 1;
    z = float32_val(a);
    switch (status->float_rounding_mode) {
    case float_round_nearest_even:
        z += lastBitMask>>1;
        if ((z & roundBitsMask) == 0) {
            z &= ~lastBitMask;
        }
        break;
    case float_round_ties_away:
        z += lastBitMask >> 1;
        break;
    case float_round_to_zero:
        break;
    case float_round_up:
        if (!extractFloat32Sign(make_float32(z))) {
            z += roundBitsMask;
        }
        break;
    case float_round_down:
        if (extractFloat32Sign(make_float32(z))) {
            z += roundBitsMask;
        }
        break;
    default:
        abort();
    }
    z &= ~ roundBitsMask;
    if (z != float32_val(a)) {
        status->float_exception_flags |= float_flag_inexact;
    }
    return make_float32(z);

}

/*----------------------------------------------------------------------------
| Returns the remainder of the single-precision floating-point value `a'
| with respect to the corresponding value `b'.  The operation is performed
@@ -4129,99 +4193,6 @@ float128 float64_to_float128(float64 a, float_status *status)

}

/*----------------------------------------------------------------------------
| Rounds the double-precision floating-point value `a' to an integer, and
| returns the result as a double-precision floating-point value.  The
| operation is performed according to the IEC/IEEE Standard for Binary
| Floating-Point Arithmetic.
*----------------------------------------------------------------------------*/

float64 float64_round_to_int(float64 a, float_status *status)
{
    flag aSign;
    int aExp;
    uint64_t lastBitMask, roundBitsMask;
    uint64_t z;
    a = float64_squash_input_denormal(a, status);

    aExp = extractFloat64Exp( a );
    if ( 0x433 <= aExp ) {
        if ( ( aExp == 0x7FF ) && extractFloat64Frac( a ) ) {
            return propagateFloat64NaN(a, a, status);
        }
        return a;
    }
    if ( aExp < 0x3FF ) {
        if ( (uint64_t) ( float64_val(a)<<1 ) == 0 ) return a;
        status->float_exception_flags |= float_flag_inexact;
        aSign = extractFloat64Sign( a );
        switch (status->float_rounding_mode) {
         case float_round_nearest_even:
            if ( ( aExp == 0x3FE ) && extractFloat64Frac( a ) ) {
                return packFloat64( aSign, 0x3FF, 0 );
            }
            break;
        case float_round_ties_away:
            if (aExp == 0x3FE) {
                return packFloat64(aSign, 0x3ff, 0);
            }
            break;
         case float_round_down:
            return make_float64(aSign ? LIT64( 0xBFF0000000000000 ) : 0);
         case float_round_up:
            return make_float64(
            aSign ? LIT64( 0x8000000000000000 ) : LIT64( 0x3FF0000000000000 ));
        }
        return packFloat64( aSign, 0, 0 );
    }
    lastBitMask = 1;
    lastBitMask <<= 0x433 - aExp;
    roundBitsMask = lastBitMask - 1;
    z = float64_val(a);
    switch (status->float_rounding_mode) {
    case float_round_nearest_even:
        z += lastBitMask >> 1;
        if ((z & roundBitsMask) == 0) {
            z &= ~lastBitMask;
        }
        break;
    case float_round_ties_away:
        z += lastBitMask >> 1;
        break;
    case float_round_to_zero:
        break;
    case float_round_up:
        if (!extractFloat64Sign(make_float64(z))) {
            z += roundBitsMask;
        }
        break;
    case float_round_down:
        if (extractFloat64Sign(make_float64(z))) {
            z += roundBitsMask;
        }
        break;
    default:
        abort();
    }
    z &= ~ roundBitsMask;
    if (z != float64_val(a)) {
        status->float_exception_flags |= float_flag_inexact;
    }
    return make_float64(z);

}

float64 float64_trunc_to_int(float64 a, float_status *status)
{
    int oldmode;
    float64 res;
    oldmode = status->float_rounding_mode;
    status->float_rounding_mode = float_round_to_zero;
    res = float64_round_to_int(a, status);
    status->float_rounding_mode = oldmode;
    return res;
}


/*----------------------------------------------------------------------------
| Returns the remainder of the double-precision floating-point value `a'
+1 −0
Original line number Diff line number Diff line
@@ -237,6 +237,7 @@ float64 float16_to_float64(float16 a, flag ieee, float_status *status);
| Software half-precision operations.
*----------------------------------------------------------------------------*/

float16 float16_round_to_int(float16, float_status *status);
float16 float16_add(float16, float16, float_status *status);
float16 float16_sub(float16, float16, float_status *status);
float16 float16_mul(float16, float16, float_status *status);