include/fpu/softfloat-macros.h | 48 ----------------------- fpu/softfloat.c | 72 ++++++++++++++++++++++++++++++---- 2 files changed, 64 insertions(+), 56 deletions(-)
The __udiv_qrnnd primitive that we nicked from gmp requires its
inputs to be normalized. We were not doing that. Because the
inputs are nearly normalized already, finishing that is trivial.
Inline div128to64 into its one user, because it is no longer a
general-purpose routine.
Fixes: cf07323d494
Fixes: https://bugs.launchpad.net/qemu/+bug/1793119
Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
---
include/fpu/softfloat-macros.h | 48 -----------------------
fpu/softfloat.c | 72 ++++++++++++++++++++++++++++++----
2 files changed, 64 insertions(+), 56 deletions(-)
diff --git a/include/fpu/softfloat-macros.h b/include/fpu/softfloat-macros.h
index 35e1603a5e..f29426ac46 100644
--- a/include/fpu/softfloat-macros.h
+++ b/include/fpu/softfloat-macros.h
@@ -625,54 +625,6 @@ static inline uint64_t estimateDiv128To64(uint64_t a0, uint64_t a1, uint64_t b)
}
-/* From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
- * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
- *
- * Licensed under the GPLv2/LGPLv3
- */
-static inline uint64_t div128To64(uint64_t n0, uint64_t n1, uint64_t d)
-{
- uint64_t d0, d1, q0, q1, r1, r0, m;
-
- d0 = (uint32_t)d;
- d1 = d >> 32;
-
- r1 = n1 % d1;
- q1 = n1 / d1;
- m = q1 * d0;
- r1 = (r1 << 32) | (n0 >> 32);
- if (r1 < m) {
- q1 -= 1;
- r1 += d;
- if (r1 >= d) {
- if (r1 < m) {
- q1 -= 1;
- r1 += d;
- }
- }
- }
- r1 -= m;
-
- r0 = r1 % d1;
- q0 = r1 / d1;
- m = q0 * d0;
- r0 = (r0 << 32) | (uint32_t)n0;
- if (r0 < m) {
- q0 -= 1;
- r0 += d;
- if (r0 >= d) {
- if (r0 < m) {
- q0 -= 1;
- r0 += d;
- }
- }
- }
- r0 -= m;
-
- /* Return remainder in LSB */
- return (q1 << 32) | q0 | (r0 != 0);
-}
-
/*----------------------------------------------------------------------------
| Returns an approximation to the square root of the 32-bit significand given
| by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of
diff --git a/fpu/softfloat.c b/fpu/softfloat.c
index 9405f12a03..93edc06996 100644
--- a/fpu/softfloat.c
+++ b/fpu/softfloat.c
@@ -1112,19 +1112,75 @@ static FloatParts div_floats(FloatParts a, FloatParts b, float_status *s)
bool sign = a.sign ^ b.sign;
if (a.cls == float_class_normal && b.cls == float_class_normal) {
- uint64_t temp_lo, temp_hi;
+ uint64_t n0, n1, d0, d1, q0, q1, r1, r0, m, d;
int exp = a.exp - b.exp;
+
+ /*
+ * We want the 2*N / N-bit division to produce exactly an N-bit
+ * result, so that we do not have to renormalize afterward.
+ * If A < B, then division would produce an (N-1)-bit result;
+ * shift A left by one to produce the an N-bit result, and
+ * decrement the exponent to match.
+ *
+ * The udiv_qrnnd algorithm that we're using requires normalization,
+ * i.e. the msb of the denominator must be set. Since we know that
+ * DECOMPOSED_BINARY_POINT is msb-1, everything must be shifted left
+ * by one more.
+ */
if (a.frac < b.frac) {
exp -= 1;
- shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1,
- &temp_hi, &temp_lo);
+ shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 2, &n1, &n0);
} else {
- shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT,
- &temp_hi, &temp_lo);
+ shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1, &n1, &n0);
}
- /* LSB of quot is set if inexact which roundandpack will use
- * to set flags. Yet again we re-use a for the result */
- a.frac = div128To64(temp_lo, temp_hi, b.frac);
+ d = b.frac << 1;
+
+ /*
+ * From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
+ * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
+ * Licensed under the GPLv2/LGPLv3.
+ */
+ d0 = (uint32_t)d;
+ d1 = d >> 32;
+
+ r1 = n1 % d1;
+ q1 = n1 / d1;
+ m = q1 * d0;
+ r1 = (r1 << 32) | (n0 >> 32);
+ if (r1 < m) {
+ q1 -= 1;
+ r1 += d;
+ if (r1 >= d) {
+ if (r1 < m) {
+ q1 -= 1;
+ r1 += d;
+ }
+ }
+ }
+ r1 -= m;
+
+ r0 = r1 % d1;
+ q0 = r1 / d1;
+ m = q0 * d0;
+ r0 = (r0 << 32) | (uint32_t)n0;
+ if (r0 < m) {
+ q0 -= 1;
+ r0 += d;
+ if (r0 >= d) {
+ if (r0 < m) {
+ q0 -= 1;
+ r0 += d;
+ }
+ }
+ }
+ r0 -= m;
+ /* End of __udiv_qrnnd. */
+
+ /* Adjust remainder for normalization step. */
+ r0 >>= 1;
+
+ /* Set lsb if there is a remainder, to set inexact. */
+ a.frac = (q1 << 32) | q0 | (r0 != 0);
a.sign = sign;
a.exp = exp;
return a;
--
2.17.1
On Tue, Oct 02, 2018 at 14:53:47 -0500, Richard Henderson wrote: > The __udiv_qrnnd primitive that we nicked from gmp requires its > inputs to be normalized. We were not doing that. Because the > inputs are nearly normalized already, finishing that is trivial. > Inline div128to64 into its one user, because it is no longer a > general-purpose routine. > > Fixes: cf07323d494 > Fixes: https://bugs.launchpad.net/qemu/+bug/1793119 > Signed-off-by: Richard Henderson <richard.henderson@linaro.org> Thanks! Tested-by: Emilio G. Cota <cota@braap.org> E.
Richard Henderson <richard.henderson@linaro.org> writes:
> The __udiv_qrnnd primitive that we nicked from gmp requires its
> inputs to be normalized. We were not doing that. Because the
> inputs are nearly normalized already, finishing that is trivial.
> Inline div128to64 into its one user, because it is no longer a
> general-purpose routine.
>
> Fixes: cf07323d494
> Fixes: https://bugs.launchpad.net/qemu/+bug/1793119
> Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
> ---
> include/fpu/softfloat-macros.h | 48 -----------------------
> fpu/softfloat.c | 72 ++++++++++++++++++++++++++++++----
> 2 files changed, 64 insertions(+), 56 deletions(-)
>
> diff --git a/include/fpu/softfloat-macros.h b/include/fpu/softfloat-macros.h
> index 35e1603a5e..f29426ac46 100644
> --- a/include/fpu/softfloat-macros.h
> +++ b/include/fpu/softfloat-macros.h
> @@ -625,54 +625,6 @@ static inline uint64_t estimateDiv128To64(uint64_t a0, uint64_t a1, uint64_t b)
>
> }
>
> -/* From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
> - * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
> - *
> - * Licensed under the GPLv2/LGPLv3
> - */
> -static inline uint64_t div128To64(uint64_t n0, uint64_t n1, uint64_t d)
> -{
> - uint64_t d0, d1, q0, q1, r1, r0, m;
> -
> - d0 = (uint32_t)d;
> - d1 = d >> 32;
> -
> - r1 = n1 % d1;
> - q1 = n1 / d1;
> - m = q1 * d0;
> - r1 = (r1 << 32) | (n0 >> 32);
> - if (r1 < m) {
> - q1 -= 1;
> - r1 += d;
> - if (r1 >= d) {
> - if (r1 < m) {
> - q1 -= 1;
> - r1 += d;
> - }
> - }
> - }
> - r1 -= m;
> -
> - r0 = r1 % d1;
> - q0 = r1 / d1;
> - m = q0 * d0;
> - r0 = (r0 << 32) | (uint32_t)n0;
> - if (r0 < m) {
> - q0 -= 1;
> - r0 += d;
> - if (r0 >= d) {
> - if (r0 < m) {
> - q0 -= 1;
> - r0 += d;
> - }
> - }
> - }
> - r0 -= m;
> -
> - /* Return remainder in LSB */
> - return (q1 << 32) | q0 | (r0 != 0);
> -}
> -
> /*----------------------------------------------------------------------------
> | Returns an approximation to the square root of the 32-bit significand given
> | by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of
> diff --git a/fpu/softfloat.c b/fpu/softfloat.c
> index 9405f12a03..93edc06996 100644
> --- a/fpu/softfloat.c
> +++ b/fpu/softfloat.c
> @@ -1112,19 +1112,75 @@ static FloatParts div_floats(FloatParts a, FloatParts b, float_status *s)
> bool sign = a.sign ^ b.sign;
>
> if (a.cls == float_class_normal && b.cls == float_class_normal) {
> - uint64_t temp_lo, temp_hi;
> + uint64_t n0, n1, d0, d1, q0, q1, r1, r0, m, d;
> int exp = a.exp - b.exp;
> +
> + /*
> + * We want the 2*N / N-bit division to produce exactly an N-bit
> + * result, so that we do not have to renormalize afterward.
> + * If A < B, then division would produce an (N-1)-bit result;
> + * shift A left by one to produce the an N-bit result, and
> + * decrement the exponent to match.
> + *
> + * The udiv_qrnnd algorithm that we're using requires normalization,
> + * i.e. the msb of the denominator must be set. Since we know that
> + * DECOMPOSED_BINARY_POINT is msb-1, everything must be shifted left
> + * by one more.
> + */
> if (a.frac < b.frac) {
> exp -= 1;
> - shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1,
> - &temp_hi, &temp_lo);
> + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 2, &n1, &n0);
> } else {
> - shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT,
> - &temp_hi, &temp_lo);
> + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1, &n1, &n0);
> }
> - /* LSB of quot is set if inexact which roundandpack will use
> - * to set flags. Yet again we re-use a for the result */
> - a.frac = div128To64(temp_lo, temp_hi, b.frac);
> + d = b.frac << 1;
> +
> + /*
> + * From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
> + * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
> + * Licensed under the GPLv2/LGPLv3.
> + */
> + d0 = (uint32_t)d;
> + d1 = d >> 32;
> +
> + r1 = n1 % d1;
> + q1 = n1 / d1;
> + m = q1 * d0;
> + r1 = (r1 << 32) | (n0 >> 32);
> + if (r1 < m) {
> + q1 -= 1;
> + r1 += d;
> + if (r1 >= d) {
> + if (r1 < m) {
> + q1 -= 1;
> + r1 += d;
> + }
> + }
> + }
> + r1 -= m;
> +
> + r0 = r1 % d1;
> + q0 = r1 / d1;
> + m = q0 * d0;
> + r0 = (r0 << 32) | (uint32_t)n0;
> + if (r0 < m) {
> + q0 -= 1;
> + r0 += d;
> + if (r0 >= d) {
> + if (r0 < m) {
> + q0 -= 1;
> + r0 += d;
> + }
> + }
> + }
> + r0 -= m;
> + /* End of __udiv_qrnnd. */
> +
> + /* Adjust remainder for normalization step. */
> + r0 >>= 1;
> +
> + /* Set lsb if there is a remainder, to set inexact. */
> + a.frac = (q1 << 32) | q0 | (r0 != 0);
> a.sign = sign;
> a.exp = exp;
> return a;
I guess if we get to the 80 bit stuff this will need to be commonised
again?
Anyway:
Reviewed-by: Alex Bennée <alex.bennee@linaro.org>
Tested-by: Alex Bennée <alex.bennee@linaro.org>
With Emilio's fp-test the only non-special ext80 failures left seem to be
some flag setting in various flavours of mulAdd. For example:
10:27:23 [alex@zen:~/l/q/q/t/fp] testing/generic-op-tester 1 + ./fp-test f16_mulAdd f32_mulAdd f64_mulAdd
>> Testing f16_mulAdd, rounding near_even, tininess before rounding
6133248 tests total.
Errors found in f16_mulAdd, rounding near_even, tininess before rounding:
+00.000 +1F.000 +1F.3DE => +1F.3DE ..... expected -1F.3FF v....
+00.000 +1F.000 +1F.3FF => +1F.3FF ..... expected -1F.3FF v....
+00.000 +1F.000 +1F.3FE => +1F.3FE ..... expected -1F.3FF v....
+00.000 +1F.000 -1F.3FF => -1F.3FF ..... expected -1F.3FF v....
+00.000 +1F.000 -1F.3FE => -1F.3FE ..... expected -1F.3FF v....
--
Alex Bennée
On 10/3/18 4:28 AM, Alex Bennée wrote:
>
> Richard Henderson <richard.henderson@linaro.org> writes:
>
>> The __udiv_qrnnd primitive that we nicked from gmp requires its
>> inputs to be normalized. We were not doing that. Because the
>> inputs are nearly normalized already, finishing that is trivial.
>> Inline div128to64 into its one user, because it is no longer a
>> general-purpose routine.
>>
>> Fixes: cf07323d494
>> Fixes: https://bugs.launchpad.net/qemu/+bug/1793119
>> Signed-off-by: Richard Henderson <richard.henderson@linaro.org>
>> ---
>> include/fpu/softfloat-macros.h | 48 -----------------------
>> fpu/softfloat.c | 72 ++++++++++++++++++++++++++++++----
>> 2 files changed, 64 insertions(+), 56 deletions(-)
>>
>> diff --git a/include/fpu/softfloat-macros.h b/include/fpu/softfloat-macros.h
>> index 35e1603a5e..f29426ac46 100644
>> --- a/include/fpu/softfloat-macros.h
>> +++ b/include/fpu/softfloat-macros.h
>> @@ -625,54 +625,6 @@ static inline uint64_t estimateDiv128To64(uint64_t a0, uint64_t a1, uint64_t b)
>>
>> }
>>
>> -/* From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
>> - * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
>> - *
>> - * Licensed under the GPLv2/LGPLv3
>> - */
>> -static inline uint64_t div128To64(uint64_t n0, uint64_t n1, uint64_t d)
>> -{
>> - uint64_t d0, d1, q0, q1, r1, r0, m;
>> -
>> - d0 = (uint32_t)d;
>> - d1 = d >> 32;
>> -
>> - r1 = n1 % d1;
>> - q1 = n1 / d1;
>> - m = q1 * d0;
>> - r1 = (r1 << 32) | (n0 >> 32);
>> - if (r1 < m) {
>> - q1 -= 1;
>> - r1 += d;
>> - if (r1 >= d) {
>> - if (r1 < m) {
>> - q1 -= 1;
>> - r1 += d;
>> - }
>> - }
>> - }
>> - r1 -= m;
>> -
>> - r0 = r1 % d1;
>> - q0 = r1 / d1;
>> - m = q0 * d0;
>> - r0 = (r0 << 32) | (uint32_t)n0;
>> - if (r0 < m) {
>> - q0 -= 1;
>> - r0 += d;
>> - if (r0 >= d) {
>> - if (r0 < m) {
>> - q0 -= 1;
>> - r0 += d;
>> - }
>> - }
>> - }
>> - r0 -= m;
>> -
>> - /* Return remainder in LSB */
>> - return (q1 << 32) | q0 | (r0 != 0);
>> -}
>> -
>> /*----------------------------------------------------------------------------
>> | Returns an approximation to the square root of the 32-bit significand given
>> | by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of
>> diff --git a/fpu/softfloat.c b/fpu/softfloat.c
>> index 9405f12a03..93edc06996 100644
>> --- a/fpu/softfloat.c
>> +++ b/fpu/softfloat.c
>> @@ -1112,19 +1112,75 @@ static FloatParts div_floats(FloatParts a, FloatParts b, float_status *s)
>> bool sign = a.sign ^ b.sign;
>>
>> if (a.cls == float_class_normal && b.cls == float_class_normal) {
>> - uint64_t temp_lo, temp_hi;
>> + uint64_t n0, n1, d0, d1, q0, q1, r1, r0, m, d;
>> int exp = a.exp - b.exp;
>> +
>> + /*
>> + * We want the 2*N / N-bit division to produce exactly an N-bit
>> + * result, so that we do not have to renormalize afterward.
>> + * If A < B, then division would produce an (N-1)-bit result;
>> + * shift A left by one to produce the an N-bit result, and
>> + * decrement the exponent to match.
>> + *
>> + * The udiv_qrnnd algorithm that we're using requires normalization,
>> + * i.e. the msb of the denominator must be set. Since we know that
>> + * DECOMPOSED_BINARY_POINT is msb-1, everything must be shifted left
>> + * by one more.
>> + */
>> if (a.frac < b.frac) {
>> exp -= 1;
>> - shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1,
>> - &temp_hi, &temp_lo);
>> + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 2, &n1, &n0);
>> } else {
>> - shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT,
>> - &temp_hi, &temp_lo);
>> + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1, &n1, &n0);
>> }
>> - /* LSB of quot is set if inexact which roundandpack will use
>> - * to set flags. Yet again we re-use a for the result */
>> - a.frac = div128To64(temp_lo, temp_hi, b.frac);
>> + d = b.frac << 1;
>> +
>> + /*
>> + * From the GNU Multi Precision Library - longlong.h __udiv_qrnnd
>> + * (https://gmplib.org/repo/gmp/file/tip/longlong.h)
>> + * Licensed under the GPLv2/LGPLv3.
>> + */
>> + d0 = (uint32_t)d;
>> + d1 = d >> 32;
>> +
>> + r1 = n1 % d1;
>> + q1 = n1 / d1;
>> + m = q1 * d0;
>> + r1 = (r1 << 32) | (n0 >> 32);
>> + if (r1 < m) {
>> + q1 -= 1;
>> + r1 += d;
>> + if (r1 >= d) {
>> + if (r1 < m) {
>> + q1 -= 1;
>> + r1 += d;
>> + }
>> + }
>> + }
>> + r1 -= m;
>> +
>> + r0 = r1 % d1;
>> + q0 = r1 / d1;
>> + m = q0 * d0;
>> + r0 = (r0 << 32) | (uint32_t)n0;
>> + if (r0 < m) {
>> + q0 -= 1;
>> + r0 += d;
>> + if (r0 >= d) {
>> + if (r0 < m) {
>> + q0 -= 1;
>> + r0 += d;
>> + }
>> + }
>> + }
>> + r0 -= m;
>> + /* End of __udiv_qrnnd. */
>> +
>> + /* Adjust remainder for normalization step. */
>> + r0 >>= 1;
>> +
>> + /* Set lsb if there is a remainder, to set inexact. */
>> + a.frac = (q1 << 32) | q0 | (r0 != 0);
>> a.sign = sign;
>> a.exp = exp;
>> return a;
>
> I guess if we get to the 80 bit stuff this will need to be commonised
> again?
I suppose I could leave it separate as udiv_qrnnd, and not try to pretend it's
a full division operation as we did before. Because, yes, we'd probably use it
in forming the 256/128-bit division we'd need for float128 (and that floatx80
would hang off).
r~
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