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* Started support for unaligned vectorization.

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* Introduce a new highly optimized matrix-matrix product for large
  matrices. The code is still highly experimental and it is activated
  only if you define EIGEN_WIP_PRODUCT at compile time.
  Currently the third dimension of the product must be a factor of
  the packet size (x4 for floats) and the right handed side matrix
  must be column major.
  Moreover, currently c = a*b; actually computes c += a*b !!
  Therefore, the code is provided for experimentation purpose only !
  These limitations will be fixed soon or later to become the default
  product implementation.
This commit is contained in:
Gael Guennebaud
2008-05-05 10:23:29 +00:00
parent 8c6007f80e
commit 46fa4c713f
15 changed files with 663 additions and 79 deletions
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68
Eigen/src/Core/PacketMath.h
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@@ -54,29 +54,33 @@ template <typename Scalar> inline Scalar ei_pset1(const Scalar& a) { return a; }
template <typename Scalar> inline void ei_pstore(Scalar* to, const Scalar& from) { (*to) = from; }
/** \internal \returns the first element of a packet */
template <typename Scalar> inline Scalar ei_pfirst(const Scalar& a) { return a; }
/** \internal \returns a packet where the element i contains the sum of the packet of \a vec[i] */
template <typename Scalar> inline Scalar ei_predux(const Scalar vecs[1]) { return vecs[0]; }
/** \internal \returns the sum of the elements of \a a*/
template <typename Scalar> inline Scalar ei_predux(const Scalar& a) { return a; }
#ifdef EIGEN_VECTORIZE_SSE
#ifdef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#undef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 16
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 16
#endif
template<> struct ei_packet_traits<float> { typedef __m128 type; enum {size=4}; };
template<> struct ei_packet_traits<double> { typedef __m128d type; enum {size=2}; };
template<> struct ei_packet_traits<int> { typedef __m128i type; enum {size=4}; };
inline __m128 ei_padd(const __m128& a, const __m128& b) { return _mm_add_ps(a,b); }
inline __m128d ei_padd(const __m128d& a, const __m128d& b) { return _mm_add_pd(a,b); }
inline __m128i ei_padd(const __m128i& a, const __m128i& b) { return _mm_add_epi32(a,b); }
template<> inline __m128 ei_padd(const __m128& a, const __m128& b) { return _mm_add_ps(a,b); }
template<> inline __m128d ei_padd(const __m128d& a, const __m128d& b) { return _mm_add_pd(a,b); }
template<> inline __m128i ei_padd(const __m128i& a, const __m128i& b) { return _mm_add_epi32(a,b); }
inline __m128 ei_psub(const __m128& a, const __m128& b) { return _mm_sub_ps(a,b); }
inline __m128d ei_psub(const __m128d& a, const __m128d& b) { return _mm_sub_pd(a,b); }
inline __m128i ei_psub(const __m128i& a, const __m128i& b) { return _mm_sub_epi32(a,b); }
template<> inline __m128 ei_psub(const __m128& a, const __m128& b) { return _mm_sub_ps(a,b); }
template<> inline __m128d ei_psub(const __m128d& a, const __m128d& b) { return _mm_sub_pd(a,b); }
template<> inline __m128i ei_psub(const __m128i& a, const __m128i& b) { return _mm_sub_epi32(a,b); }
inline __m128 ei_pmul(const __m128& a, const __m128& b) { return _mm_mul_ps(a,b); }
inline __m128d ei_pmul(const __m128d& a, const __m128d& b) { return _mm_mul_pd(a,b); }
inline __m128i ei_pmul(const __m128i& a, const __m128i& b)
template<> inline __m128 ei_pmul(const __m128& a, const __m128& b) { return _mm_mul_ps(a,b); }
template<> inline __m128d ei_pmul(const __m128d& a, const __m128d& b) { return _mm_mul_pd(a,b); }
template<> inline __m128i ei_pmul(const __m128i& a, const __m128i& b)
{
return _mm_or_si128(
_mm_and_si128(
@@ -89,21 +93,21 @@ inline __m128i ei_pmul(const __m128i& a, const __m128i& b)
}
// for some weird raisons, it has to be overloaded for packet integer
inline __m128i ei_pmadd(const __m128i& a, const __m128i& b, const __m128i& c) { return ei_padd(ei_pmul(a,b), c); }
template<> inline __m128i ei_pmadd(const __m128i& a, const __m128i& b, const __m128i& c) { return ei_padd(ei_pmul(a,b), c); }
inline __m128 ei_pmin(const __m128& a, const __m128& b) { return _mm_min_ps(a,b); }
inline __m128d ei_pmin(const __m128d& a, const __m128d& b) { return _mm_min_pd(a,b); }
template<> inline __m128 ei_pmin(const __m128& a, const __m128& b) { return _mm_min_ps(a,b); }
template<> inline __m128d ei_pmin(const __m128d& a, const __m128d& b) { return _mm_min_pd(a,b); }
// FIXME this vectorized min operator is likely to be slower than the standard one
inline __m128i ei_pmin(const __m128i& a, const __m128i& b)
template<> inline __m128i ei_pmin(const __m128i& a, const __m128i& b)
{
__m128i mask = _mm_cmplt_epi32(a,b);
return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
}
inline __m128 ei_pmax(const __m128& a, const __m128& b) { return _mm_max_ps(a,b); }
inline __m128d ei_pmax(const __m128d& a, const __m128d& b) { return _mm_max_pd(a,b); }
template<> inline __m128 ei_pmax(const __m128& a, const __m128& b) { return _mm_max_ps(a,b); }
template<> inline __m128d ei_pmax(const __m128d& a, const __m128d& b) { return _mm_max_pd(a,b); }
// FIXME this vectorized max operator is likely to be slower than the standard one
inline __m128i ei_pmax(const __m128i& a, const __m128i& b)
template<> inline __m128i ei_pmax(const __m128i& a, const __m128i& b)
{
__m128i mask = _mm_cmpgt_epi32(a,b);
return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
@@ -113,6 +117,10 @@ inline __m128 ei_pload(const float* from) { return _mm_load_ps(from); }
inline __m128d ei_pload(const double* from) { return _mm_load_pd(from); }
inline __m128i ei_pload(const int* from) { return _mm_load_si128(reinterpret_cast<const __m128i*>(from)); }
inline __m128 ei_ploadu(const float* from) { return _mm_loadu_ps(from); }
inline __m128d ei_ploadu(const double* from) { return _mm_loadu_pd(from); }
inline __m128i ei_ploadu(const int* from) { return _mm_loadu_si128(reinterpret_cast<const __m128i*>(from)); }
inline __m128 ei_pset1(const float& from) { return _mm_set1_ps(from); }
inline __m128d ei_pset1(const double& from) { return _mm_set1_pd(from); }
inline __m128i ei_pset1(const int& from) { return _mm_set1_epi32(from); }
@@ -121,15 +129,39 @@ inline void ei_pstore(float* to, const __m128& from) { _mm_store_ps(to, from);
inline void ei_pstore(double* to, const __m128d& from) { _mm_store_pd(to, from); }
inline void ei_pstore(int* to, const __m128i& from) { _mm_store_si128(reinterpret_cast<__m128i*>(to), from); }
inline void ei_pstoreu(float* to, const __m128& from) { _mm_storeu_ps(to, from); }
inline void ei_pstoreu(double* to, const __m128d& from) { _mm_storeu_pd(to, from); }
inline void ei_pstoreu(int* to, const __m128i& from) { _mm_store_si128(reinterpret_cast<__m128i*>(to), from); }
inline float ei_pfirst(const __m128& a) { return _mm_cvtss_f32(a); }
inline double ei_pfirst(const __m128d& a) { return _mm_cvtsd_f64(a); }
inline int ei_pfirst(const __m128i& a) { return _mm_cvtsi128_si32(a); }
#ifdef __SSE3__
// TODO implement SSE2 versions as well as integer versions
inline __m128 ei_predux(const __m128* vecs)
{
return _mm_hadd_ps(_mm_hadd_ps(vecs[0], vecs[1]),_mm_hadd_ps(vecs[2], vecs[3]));
}
inline __m128d ei_predux(const __m128d* vecs)
{
return _mm_hadd_pd(vecs[0], vecs[1]);
}
inline float ei_predux(const __m128& a)
{
__m128 tmp0 = _mm_hadd_ps(a,a);
return ei_pfirst(_mm_hadd_ps(tmp0, tmp0));
}
inline double ei_predux(const __m128d& a) { return ei_pfirst(_mm_hadd_pd(a, a)); }
#endif
#elif defined(EIGEN_VECTORIZE_ALTIVEC)
#ifdef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#undef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 4
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 4
#endif
static const vector int v0i = vec_splat_u32(0);