Add print for SSE/NEON, use NEON rounding intrinsics if available.

In SSE, by adding/subtracting 2^MantissaBits, we force rounding according to the
current rounding mode.

For NEON, we use the provided intrinsics for rint/floor/ceil if
available (armv8).

Related to #1969.
This commit is contained in:
Antonio Sanchez 2021-02-25 14:29:49 -08:00 committed by Antonio Sánchez
parent 976ae0ca6f
commit 1e0c7d4f49
4 changed files with 140 additions and 149 deletions

View File

@ -196,6 +196,7 @@ struct packet_traits<float> : default_packet_traits
HasDiv = 1,
HasFloor = 1,
HasCeil = 1,
HasRint = 1,
HasSin = EIGEN_FAST_MATH,
HasCos = EIGEN_FAST_MATH,
@ -3182,63 +3183,88 @@ template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet2l pselect(const Packet2l
template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet2ul pselect(const Packet2ul& mask, const Packet2ul& a, const Packet2ul& b)
{ return vbslq_u64(mask, a, b); }
// Use armv8 rounding intinsics if available.
#if EIGEN_ARCH_ARMV8
template<> EIGEN_STRONG_INLINE Packet2f print<Packet2f>(const Packet2f& a)
{ return vrndn_f32(a); }
template<> EIGEN_STRONG_INLINE Packet4f print<Packet4f>(const Packet4f& a)
{ return vrndnq_f32(a); }
template<> EIGEN_STRONG_INLINE Packet2f pfloor<Packet2f>(const Packet2f& a)
{
const Packet2f cst_1 = pset1<Packet2f>(1.0f);
// Round to nearest.
Packet2f tmp = vcvt_f32_s32(vcvt_s32_f32(a));
// If greater, subtract one.
Packet2ui mask = vcgt_f32(tmp, a);
mask = vand_u32(mask, vreinterpret_u32_f32(cst_1));
tmp = vsub_f32(tmp, vreinterpret_f32_u32(mask));
// Handle saturation cases.
const Packet2f cst_max = pset1<Packet2f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
{ return vrndm_f32(a); }
template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
{ return vrndmq_f32(a); }
template<> EIGEN_STRONG_INLINE Packet2f pceil<Packet2f>(const Packet2f& a)
{ return vrndp_f32(a); }
template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a)
{ return vrndpq_f32(a); }
#else
template<> EIGEN_STRONG_INLINE Packet4f print(const Packet4f& a) {
// Adds and subtracts signum(a) * 2^23 to force rounding.
const Packet4f offset =
pselect(pcmp_lt(a, pzero(a)),
pset1<Packet4f>(-static_cast<float>(1<<23)),
pset1<Packet4f>(+static_cast<float>(1<<23)));
return psub(padd(a, offset), offset);
}
template<> EIGEN_STRONG_INLINE Packet2f print(const Packet2f& a) {
// Adds and subtracts signum(a) * 2^23 to force rounding.
const Packet2f offset =
pselect(pcmp_lt(a, pzero(a)),
pset1<Packet2f>(-static_cast<float>(1<<23)),
pset1<Packet2f>(+static_cast<float>(1<<23)));
return psub(padd(a, offset), offset);
}
template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
{
const Packet4f cst_1 = pset1<Packet4f>(1.0f);
// Round to nearest.
Packet4f tmp = vcvtq_f32_s32(vcvtq_s32_f32(a));
Packet4f tmp = print<Packet4f>(a);
// If greater, subtract one.
Packet4ui mask = vcgtq_f32(tmp, a);
mask = vandq_u32(mask, vreinterpretq_u32_f32(cst_1));
tmp = vsubq_f32(tmp, vreinterpretq_f32_u32(mask));
// Handle saturation cases.
const Packet4f cst_max = pset1<Packet4f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
Packet4f mask = pcmp_lt(a, tmp);
mask = pand(mask, cst_1);
return psub(tmp, mask);
}
template<> EIGEN_STRONG_INLINE Packet2f pceil<Packet2f>(const Packet2f& a)
template<> EIGEN_STRONG_INLINE Packet2f pfloor<Packet2f>(const Packet2f& a)
{
const Packet2f cst_1 = pset1<Packet2f>(1.0f);
// Round to nearest.
Packet2f tmp = vcvt_f32_s32(vcvt_s32_f32(a));
// If smaller, add one.
Packet2ui mask = vclt_f32(tmp, a);
mask = vand_u32(mask, vreinterpret_u32_f32(cst_1));
tmp = vadd_f32(tmp, vreinterpret_f32_u32(mask));
// Handle saturation cases.
const Packet2f cst_max = pset1<Packet2f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
Packet2f tmp = print<Packet2f>(a);
// If greater, subtract one.
Packet2f mask = pcmp_lt(a, tmp);
mask = pand(mask, cst_1);
return psub(tmp, mask);
}
template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a)
{
const Packet4f cst_1 = pset1<Packet4f>(1.0f);
// Round to nearest.
Packet4f tmp = vcvtq_f32_s32(vcvtq_s32_f32(a));
Packet4f tmp = print<Packet4f>(a);
// If smaller, add one.
Packet4ui mask = vcltq_f32(tmp, a);
mask = vandq_u32(mask, vreinterpretq_u32_f32(cst_1));
tmp = vaddq_f32(tmp, vreinterpretq_f32_u32(mask));
// Handle saturation cases.
const Packet4f cst_max = pset1<Packet4f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
Packet4f mask = pcmp_lt(tmp, a);
mask = pand(mask, cst_1);
return padd(tmp, mask);
}
template<> EIGEN_STRONG_INLINE Packet2f pceil<Packet2f>(const Packet2f& a)
{
const Packet2f cst_1 = pset1<Packet2f>(1.0);
Packet2f tmp = print<Packet2f>(a);
// If smaller, add one.
Packet2f mask = pcmp_lt(tmp, a);
mask = pand(mask, cst_1);
return padd(tmp, mask);
}
#endif
/**
* Computes the integer square root
* @remarks The calculation is performed using an algorithm which iterates through each binary digit of the result
@ -3404,6 +3430,7 @@ template<> struct packet_traits<bfloat16> : default_packet_traits
HasDiv = 1,
HasFloor = 1,
HasCeil = 1,
HasRint = 1,
HasSin = EIGEN_FAST_MATH,
HasCos = EIGEN_FAST_MATH,
@ -3565,6 +3592,11 @@ template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4bf pselect(const Packet4
return pselect<Packet4us>(mask, a, b);
}
template<> EIGEN_STRONG_INLINE Packet4bf print<Packet4bf>(const Packet4bf& a)
{
return F32ToBf16(print<Packet4f>(Bf16ToF32(a)));
}
template<> EIGEN_STRONG_INLINE Packet4bf pfloor<Packet4bf>(const Packet4bf& a)
{
return F32ToBf16(pfloor<Packet4f>(Bf16ToF32(a)));
@ -3751,6 +3783,7 @@ template<> struct packet_traits<double> : default_packet_traits
HasDiv = 1,
HasFloor = 1,
HasCeil = 1,
HasRint = 1,
HasSin = 0,
HasCos = 0,
@ -3932,33 +3965,14 @@ ptranspose(PacketBlock<Packet2d, 2>& kernel)
template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet2d pselect( const Packet2d& mask, const Packet2d& a, const Packet2d& b)
{ return vbslq_f64(vreinterpretq_u64_f64(mask), a, b); }
template<> EIGEN_STRONG_INLINE Packet2d print<Packet2d>(const Packet2d& a)
{ return vrndnq_f64(a); }
template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a)
{
const Packet2d cst_1 = pset1<Packet2d>(1.0);
// Round to nearest.
Packet2d tmp = vcvtq_f64_s64(vcvtq_s64_f64(a));
// If greater, substract 1.
uint64x2_t mask = vcgtq_f64(tmp, a);
mask = vandq_u64(mask, vreinterpretq_u64_f64(cst_1));
tmp = vsubq_f64(tmp, vreinterpretq_f64_u64(mask));
// Handle saturation cases.
const Packet2d cst_max = pset1<Packet2d>(static_cast<double>(NumTraits<int64_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
{ return vrndmq_f64(a); }
template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a)
{
const Packet2d cst_1 = pset1<Packet2d>(1.0);
// Round to nearest.
Packet2d tmp = vcvtq_f64_s64(vcvtq_s64_f64(a));
// If smaller, add one.
uint64x2_t mask = vcltq_f64(tmp, a);
mask = vandq_u64(mask, vreinterpretq_u64_f64(cst_1));
tmp = vaddq_f64(tmp, vreinterpretq_f64_u64(mask));
// Handle saturation cases.
const Packet2d cst_max = pset1<Packet2d>(static_cast<double>(NumTraits<int64_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
{ return vrndpq_f64(a); }
template<> EIGEN_STRONG_INLINE Packet2d pldexp<Packet2d>(const Packet2d& a, const Packet2d& exponent)
{ return pldexp_generic(a, exponent); }
@ -4020,6 +4034,7 @@ struct packet_traits<Eigen::half> : default_packet_traits {
HasDiv = 1,
HasFloor = 1,
HasCeil = 1,
HasRint = 1,
HasSin = 0,
HasCos = 0,
HasLog = 0,
@ -4230,6 +4245,30 @@ EIGEN_STRONG_INLINE Packet4hf pcmp_lt_or_nan<Packet4hf>(const Packet4hf& a, cons
return vreinterpret_f16_u16(vmvn_u16(vcge_f16(a, b)));
}
template <>
EIGEN_STRONG_INLINE Packet8hf print<Packet8hf>(const Packet8hf& a)
{ return vrndnq_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet4hf print<Packet4hf>(const Packet4hf& a)
{ return vrndn_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet8hf pfloor<Packet8hf>(const Packet8hf& a)
{ return vrndmq_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet4hf pfloor<Packet4hf>(const Packet4hf& a)
{ return vrndm_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet8hf pceil<Packet8hf>(const Packet8hf& a)
{ return vrndpq_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet4hf pceil<Packet4hf>(const Packet4hf& a)
{ return vrndp_f16(a); }
template <>
EIGEN_STRONG_INLINE Packet8hf psqrt<Packet8hf>(const Packet8hf& a) {
return vsqrtq_f16(a);
@ -4464,62 +4503,6 @@ EIGEN_STRONG_INLINE Packet4hf pabs<Packet4hf>(const Packet4hf& a) {
return vabs_f16(a);
}
template <>
EIGEN_STRONG_INLINE Packet8hf pfloor<Packet8hf>(const Packet8hf& a) {
const Packet8hf cst_1 = pset1<Packet8hf>(Eigen::half(1.0f));
// Round to nearest.
Packet8hf tmp = vcvtq_f16_s16(vcvtq_s16_f16(a));
// If greater, substract one.
uint16x8_t mask = vcgtq_f16(tmp, a);
mask = vandq_u16(mask, vreinterpretq_u16_f16(cst_1));
tmp = vsubq_f16(tmp, vreinterpretq_f16_u16(mask));
// Handle saturation cases.
const Packet8hf cst_max = pset1<Packet8hf>(static_cast<Eigen::half>(NumTraits<int16_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
template <>
EIGEN_STRONG_INLINE Packet4hf pfloor<Packet4hf>(const Packet4hf& a) {
const Packet4hf cst_1 = pset1<Packet4hf>(Eigen::half(1.0f));
// Round to nearest.
Packet4hf tmp = vcvt_f16_s16(vcvt_s16_f16(a));
// If greater, substract one.
uint16x4_t mask = vcgt_f16(tmp, a);
mask = vand_u16(mask, vreinterpret_u16_f16(cst_1));
tmp = vsub_f16(tmp, vreinterpret_f16_u16(mask));
// Handle saturation cases.
const Packet4hf cst_max = pset1<Packet4hf>(static_cast<Eigen::half>(NumTraits<int16_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
template <>
EIGEN_STRONG_INLINE Packet8hf pceil<Packet8hf>(const Packet8hf& a) {
const Packet8hf cst_1 = pset1<Packet8hf>(Eigen::half(1.0f));
// Round to nearest.
Packet8hf tmp = vcvtq_f16_s16(vcvtq_s16_f16(a));
// If smaller, add one.
uint16x8_t mask = vcltq_f16(tmp, a);
mask = vandq_u16(mask, vreinterpretq_u16_f16(cst_1));
tmp = vaddq_f16(tmp, vreinterpretq_f16_u16(mask));
// Handle saturation cases.
const Packet8hf cst_max = pset1<Packet8hf>(static_cast<Eigen::half>(NumTraits<int16_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
template <>
EIGEN_STRONG_INLINE Packet4hf pceil<Packet4hf>(const Packet4hf& a) {
const Packet4hf cst_1 = pset1<Packet4hf>(Eigen::half(1.0f));
// Round to nearest.
Packet4hf tmp = vcvt_f16_s16(vcvt_s16_f16(a));
// If smaller, add one.
uint16x4_t mask = vclt_f16(tmp, a);
mask = vand_u16(mask, vreinterpret_u16_f16(cst_1));
tmp = vadd_f16(tmp, vreinterpret_f16_u16(mask));
// Handle saturation cases.
const Packet4hf cst_max = pset1<Packet4hf>(static_cast<Eigen::half>(NumTraits<int16_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
}
template <>
EIGEN_STRONG_INLINE Eigen::half predux<Packet8hf>(const Packet8hf& a) {
float16x4_t a_lo, a_hi, sum;

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@ -148,12 +148,11 @@ struct packet_traits<float> : default_packet_traits {
HasErf = EIGEN_FAST_MATH,
HasBlend = 1,
HasCeil = 1,
HasFloor = 1
HasFloor = 1,
HasRint = 1,
#ifdef EIGEN_VECTORIZE_SSE4_1
,
HasRint = 1,
HasRound = 1
HasRound = 1,
#endif
};
};
@ -175,12 +174,10 @@ struct packet_traits<double> : default_packet_traits {
HasRsqrt = 1,
HasBlend = 1,
HasFloor = 1,
HasCeil = 1
HasCeil = 1,
HasRint = 1,
#ifdef EIGEN_VECTORIZE_SSE4_1
,
HasRound = 1,
HasRint = 1
#endif
};
};
@ -647,23 +644,17 @@ template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a) { ret
template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a) { return _mm_floor_ps(a); }
template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return _mm_floor_pd(a); }
#else
template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
{
const Packet4f cst_1 = pset1<Packet4f>(1.0f);
Packet4i emm0 = _mm_cvttps_epi32(a);
Packet4f tmp = _mm_cvtepi32_ps(emm0);
// If greater, subtract one.
Packet4f mask = _mm_cmpgt_ps(tmp, a);
mask = pand(mask, cst_1);
tmp = psub(tmp, mask);
// Handle saturation cases.
const Packet4f cst_max = pset1<Packet4f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
template<> EIGEN_STRONG_INLINE Packet4f print(const Packet4f& a) {
// Adds and subtracts signum(a) * 2^23 to force rounding.
const Packet4f offset =
pselect(pcmp_lt(a, pzero(a)),
pset1<Packet4f>(-static_cast<float>(1<<23)),
pset1<Packet4f>(+static_cast<float>(1<<23)));
return psub(padd(a, offset), offset);
}
// Rounds to nearest integer.
EIGEN_STRONG_INLINE Packet2d pround_to_nearest(const Packet2d& a) {
// Adds and subtracts signum(a) * 2^52 to force rounding to within precision.
template<> EIGEN_STRONG_INLINE Packet2d print(const Packet2d& a) {
// Adds and subtracts signum(a) * 2^52 to force rounding.
const Packet2d offset =
pselect(pcmp_lt(a, pzero(a)),
pset1<Packet2d>(-static_cast<double>(1ull<<52)),
@ -671,10 +662,20 @@ EIGEN_STRONG_INLINE Packet2d pround_to_nearest(const Packet2d& a) {
return psub(padd(a, offset), offset);
}
template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
{
const Packet4f cst_1 = pset1<Packet4f>(1.0f);
Packet4f tmp = print<Packet4f>(a);
// If greater, subtract one.
Packet4f mask = _mm_cmpgt_ps(tmp, a);
mask = pand(mask, cst_1);
return psub(tmp, mask);
}
template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a)
{
const Packet2d cst_1 = pset1<Packet2d>(1.0);
Packet2d tmp = pround_to_nearest(a);
Packet2d tmp = print<Packet2d>(a);
// If greater, subtract one.
Packet2d mask = _mm_cmpgt_pd(tmp, a);
mask = pand(mask, cst_1);
@ -684,21 +685,17 @@ template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a)
template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a)
{
const Packet4f cst_1 = pset1<Packet4f>(1.0f);
Packet4i emm0 = _mm_cvttps_epi32(a);
Packet4f tmp = _mm_cvtepi32_ps(emm0);
Packet4f tmp = print<Packet4f>(a);
// If smaller, add one.
Packet4f mask = _mm_cmplt_ps(tmp, a);
mask = pand(mask, cst_1);
tmp = padd(tmp, mask);
// Handle saturation cases.
const Packet4f cst_max = pset1<Packet4f>(static_cast<float>(NumTraits<int32_t>::highest()));
return pselect(pcmp_lt(pabs(a), cst_max), tmp, a);
return padd(tmp, mask);
}
template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a)
{
const Packet2d cst_1 = pset1<Packet2d>(1.0);
Packet2d tmp = pround_to_nearest(a);
Packet2d tmp = print<Packet2d>(a);
// If smaller, add one.
Packet2d mask = _mm_cmplt_pd(tmp, a);
mask = pand(mask, cst_1);

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@ -265,6 +265,14 @@
#define EIGEN_ARCH_ARM_OR_ARM64 0
#endif
/// \internal EIGEN_ARCH_ARMV8 set to 1 if the architecture is armv8 or greater.
#if EIGEN_ARCH_ARM_OR_ARM64 && defined(__ARM_ARCH) && __ARM_ARCH >= 8
#define EIGEN_ARCH_ARMV8 1
#else
#define EIGEN_ARCH_ARMV8 0
#endif
/// \internal EIGEN_HAS_ARM64_FP16 set to 1 if the architecture provides an IEEE
/// compliant Arm fp16 type
#if EIGEN_ARCH_ARM64

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@ -577,6 +577,9 @@ void packetmath_real() {
values.push_back(Scalar(-1.5) + val); // Bug 1785.
val = val / Scalar(2);
}
values.push_back(NumTraits<Scalar>::infinity());
values.push_back(-NumTraits<Scalar>::infinity());
values.push_back(NumTraits<Scalar>::quiet_NaN());
for (size_t k=0; k<values.size(); ++k) {
data1[0] = values[k];