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-rw-r--r--src/vectors-8-AVX.h218
1 files changed, 159 insertions, 59 deletions
diff --git a/src/vectors-8-AVX.h b/src/vectors-8-AVX.h
index ce43542..7ff04c0 100644
--- a/src/vectors-8-AVX.h
+++ b/src/vectors-8-AVX.h
@@ -1,3 +1,4 @@
+// -*-C++-*-
// Vectorise using Intel's or AMD's AVX
// Use the type __m256d directly, without introducing a wrapper class
@@ -5,6 +6,7 @@
#include <cstdlib>
+#include <cstring>
@@ -25,9 +27,13 @@
// Vector type corresponding to CCTK_REAL
+// Note: some boolean masks (e.g. ~0) correspond to nan when
+// interpreted as floating point number. gcc 4.8 is clever enough to
+// optimize away such constants with fast-math. We therefore need to
+// handle this constant as integer number.
typedef __m256d CCTK_REAL8_VEC;
typedef __m256i CCTK_INTEGER8_VEC;
-typedef __m256d CCTK_BOOLEAN8_VEC;
+typedef __m256i CCTK_BOOLEAN8_VEC;
// Number of vector elements in a CCTK_REAL_VEC
#define CCTK_REAL8_VEC_SIZE 4
@@ -36,16 +42,21 @@ vec_static_assert(sizeof(CCTK_REAL8_VEC) ==
sizeof(CCTK_REAL8) * CCTK_REAL8_VEC_SIZE);
// Integer and boolean types corresponding to this real type
-typedef CCTK_INT8 CCTK_INTEGER8;
-typedef CCTK_REAL8 CCTK_BOOLEAN8;
+typedef CCTK_INT8 CCTK_INTEGER8;
+typedef CCTK_INT8 CCTK_BOOLEAN8;
+
+
+
+// These macros are undefined at the end of this file -- use them only
+// within functions, not within macros that are exported
+#define I2R(x) _mm256_castsi256_pd(x)
+#define R2I(x) _mm256_castpd_si256(x)
union k8const_t {
CCTK_INTEGER8 i[CCTK_REAL8_VEC_SIZE];
- CCTK_REAL8 f[CCTK_REAL8_VEC_SIZE];
CCTK_INTEGER8_VEC vi;
- CCTK_REAL8_VEC vf;
};
#define k8sign (vec8_set1i( (CCTK_INTEGER8)(1ULL << 63ULL)))
@@ -61,9 +72,9 @@ CCTK_REAL8_VEC vec8_set1(CCTK_REAL8 const a)
return _mm256_set1_pd(a);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8_VEC vec8_set1i(CCTK_INT8 const a)
+CCTK_INTEGER8_VEC vec8_set1i(CCTK_INT8 const a)
{
- return _mm256_castsi256_pd(_mm256_set1_epi64x(a));
+ return _mm256_set1_epi64x(a);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC vec8_set(CCTK_REAL8 const a,
@@ -75,29 +86,25 @@ CCTK_REAL8_VEC vec8_set(CCTK_REAL8 const a,
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8 vec8_elt0(CCTK_REAL8_VEC const x)
-{
- return ((CCTK_REAL8 const*)&x)[0];
-}
-static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8 vec8_elt1(CCTK_REAL8_VEC const x)
-{
- return ((CCTK_REAL8 const*)&x)[1];
-}
-static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8 vec8_elt2(CCTK_REAL8_VEC const x)
+CCTK_REAL8 vec8_elt(CCTK_REAL8_VEC const x, std::ptrdiff_t const d)
{
- return ((CCTK_REAL8 const*)&x)[2];
+ CCTK_REAL8 e;
+ std::memcpy(&e, &((char const*)&x)[d*sizeof e], sizeof e);
+ return e;
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8 vec8_elt3(CCTK_REAL8_VEC const x)
+CCTK_INTEGER8 vec8_elti(CCTK_INTEGER8_VEC const x, std::ptrdiff_t const d)
{
- return ((CCTK_REAL8 const*)&x)[3];
+ CCTK_INTEGER8 e;
+ std::memcpy(&e, &((char const*)&x)[d*sizeof e], sizeof e);
+ return e;
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
-CCTK_REAL8 vec8_elt(CCTK_REAL8_VEC const x, std::ptrdiff_t const d)
+CCTK_BOOLEAN8 vec8_eltb(CCTK_BOOLEAN8_VEC const x, std::ptrdiff_t const d)
{
- return ((CCTK_REAL8 const*)&x)[d];
+ CCTK_BOOLEAN8 e;
+ std::memcpy(&e, &((char const*)&x)[d*sizeof e], sizeof e);
+ return e;
}
@@ -268,14 +275,14 @@ void vec8_store_nta_partial_lo(CCTK_REAL8& p,
CCTK_REAL8_VEC const x,
ptrdiff_t const n)
{
- _mm256_maskstore_pd(&p, _mm256_castsi256_pd(k8store_lo[n].vi), x);
+ _mm256_maskstore_pd(&p, I2R(k8store_lo[n].vi), x);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
void vec8_store_nta_partial_hi(CCTK_REAL8& p,
CCTK_REAL8_VEC const x,
ptrdiff_t const n)
{
- _mm256_maskstore_pd(&p, _mm256_castsi256_pd(k8store_hi[n].vi), x);
+ _mm256_maskstore_pd(&p, I2R(k8store_hi[n].vi), x);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
void vec8_store_nta_partial_mid(CCTK_REAL8& p,
@@ -283,10 +290,7 @@ void vec8_store_nta_partial_mid(CCTK_REAL8& p,
ptrdiff_t const nlo,
ptrdiff_t const nhi)
{
- _mm256_maskstore_pd
- (&p,
- _mm256_castsi256_pd(k8store_lo[nlo].vi & k8store_hi[nhi].vi),
- x);
+ _mm256_maskstore_pd(&p, I2R(k8store_lo[nlo].vi & k8store_hi[nhi].vi), x);
}
#else
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
@@ -311,7 +315,7 @@ void vec8_store_nta_partial_mid(CCTK_REAL8& p,
{
_mm256_maskstore_pd
(&p,
- _mm256_castpd_si256(_mm256_and_pd(k8store_lo[nlo].vf, k8store_hi[nhi].vf)),
+ R2I(_mm256_and_pd(I2R(k8store_lo[nlo].vi), I2R(k8store_hi[nhi].vi))),
x);
}
#endif
@@ -324,7 +328,7 @@ void vec8_store_nta_partial_mid(CCTK_REAL8& p,
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8neg(CCTK_REAL8_VEC const x)
{
- return _mm256_xor_pd(k8sign, x);
+ return _mm256_xor_pd(I2R(k8sign), x);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
@@ -413,13 +417,13 @@ CCTK_REAL8_VEC k8nmsub(CCTK_REAL8_VEC const x,
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8copysign(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_or_pd(_mm256_and_pd(k8notsign, x),
- _mm256_and_pd(k8sign , y));
+ return _mm256_or_pd(_mm256_and_pd(I2R(k8notsign), x),
+ _mm256_and_pd(I2R(k8sign ), y));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8fabs(CCTK_REAL8_VEC const x)
{
- return _mm256_and_pd(k8notsign, x);
+ return _mm256_and_pd(I2R(k8notsign), x);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8fmax(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
@@ -434,7 +438,7 @@ CCTK_REAL8_VEC k8fmin(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8fnabs(CCTK_REAL8_VEC const x)
{
- return _mm256_or_pd(k8sign, x);
+ return _mm256_or_pd(I2R(k8sign), x);
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8sqrt(CCTK_REAL8_VEC const x)
@@ -442,22 +446,111 @@ CCTK_REAL8_VEC k8sqrt(CCTK_REAL8_VEC const x)
return _mm256_sqrt_pd(x);
}
+
+
+// Expensive functions
+#if defined __ICC
+// The Intel compiler provides intrinsics for these
+
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8acos(CCTK_REAL8_VEC const x)
+{
+ return _mm256_acos_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8acosh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_acosh_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8asin(CCTK_REAL8_VEC const x)
+{
+ return _mm256_asin_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8asinh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_asinh_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8atan(CCTK_REAL8_VEC const x)
+{
+ return _mm256_atan_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8atan2(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
+{
+ return _mm256_atan2_pd(x,y);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8atanh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_atanh_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8cos(CCTK_REAL8_VEC const x)
+{
+ return _mm256_cos_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8cosh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_cosh_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8exp(CCTK_REAL8_VEC const x)
+{
+ return _mm256_exp_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8log(CCTK_REAL8_VEC const x)
+{
+ return _mm256_log_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8pow(CCTK_REAL8_VEC const x, CCTK_REAL8 const a)
+{
+ return _mm256_pow_pd(x, _mm256_set1_pd(a));
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8sin(CCTK_REAL8_VEC const x)
+{
+ return _mm256_sin_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8sinh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_sinh_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8tan(CCTK_REAL8_VEC const x)
+{
+ return _mm256_tan_pd(x);
+}
+static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
+CCTK_REAL8_VEC k8tanh(CCTK_REAL8_VEC const x)
+{
+ return _mm256_tanh_pd(x);
+}
+
+#else
+
// Expensive functions
#define K8REPL(f,x) \
- vec8_set(f(vec8_elt0(x)), \
- f(vec8_elt1(x)), \
- f(vec8_elt2(x)), \
- f(vec8_elt3(x)));
+ vec8_set(f(vec8_elt(x,0)), \
+ f(vec8_elt(x,1)), \
+ f(vec8_elt(x,2)), \
+ f(vec8_elt(x,3)));
#define K8REPL2S(f,x,a) \
- vec8_set(f(vec8_elt0(x),a), \
- f(vec8_elt1(x),a), \
- f(vec8_elt2(x),a), \
- f(vec8_elt3(x),a));
+ vec8_set(f(vec8_elt(x,0),a), \
+ f(vec8_elt(x,1),a), \
+ f(vec8_elt(x,2),a), \
+ f(vec8_elt(x,3),a));
#define K8REPL2(f,x,y) \
- vec8_set(f(vec8_elt0(x),vec8_elt0(y)), \
- f(vec8_elt1(x),vec8_elt1(y)), \
- f(vec8_elt2(x),vec8_elt2(y)), \
- f(vec8_elt3(x),vec8_elt3(y)));
+ vec8_set(f(vec8_elt(x,0),vec8_elt(y,0)), \
+ f(vec8_elt(x,1),vec8_elt(y,1)), \
+ f(vec8_elt(x,2),vec8_elt(y,2)), \
+ f(vec8_elt(x,3),vec8_elt(y,3)));
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8acos(CCTK_REAL8_VEC const x)
@@ -540,6 +633,8 @@ CCTK_REAL8_VEC k8tanh(CCTK_REAL8_VEC const x)
return K8REPL(tanh,x);
}
+#endif
+
#define k8lfalse (vec8_set1i( 0))
@@ -547,60 +642,60 @@ CCTK_REAL8_VEC k8tanh(CCTK_REAL8_VEC const x)
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8lnot(CCTK_BOOLEAN8_VEC const x)
{
- return _mm256_xor_pd(k8ltrue, x);
+ return R2I(_mm256_xor_pd(I2R(k8ltrue), I2R(x)));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8land(CCTK_BOOLEAN8_VEC const x, CCTK_BOOLEAN8_VEC const y)
{
- return _mm256_and_pd(x, y);
+ return R2I(_mm256_and_pd(I2R(x), I2R(y)));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8lor(CCTK_BOOLEAN8_VEC const x, CCTK_BOOLEAN8_VEC const y)
{
- return _mm256_or_pd(x, y);
+ return R2I(_mm256_or_pd(I2R(x), I2R(y)));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8lxor(CCTK_BOOLEAN8_VEC const x, CCTK_BOOLEAN8_VEC const y)
{
- return _mm256_xor_pd(x, y);
+ return R2I(_mm256_xor_pd(I2R(x), I2R(y)));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8ifthen(CCTK_BOOLEAN8_VEC const x,
CCTK_REAL8_VEC const y,
CCTK_REAL8_VEC const z)
{
- return _mm256_blendv_pd(z, y, x);
+ return _mm256_blendv_pd(z, y, I2R(x));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmpeq(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_EQ_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_EQ_OQ));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmpne(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_NEQ_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_NEQ_UQ));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmpgt(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_GT_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_GT_OQ));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmpge(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_GE_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_GE_OQ));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmplt(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_LT_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_LT_OQ));
}
static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_BOOLEAN8_VEC k8cmple(CCTK_REAL8_VEC const x, CCTK_REAL8_VEC const y)
{
- return _mm256_cmp_pd(x, y, _CMP_LE_OQ);
+ return R2I(_mm256_cmp_pd(x, y, _CMP_LE_OQ));
}
@@ -609,7 +704,12 @@ static inline CCTK_ATTRIBUTE_ALWAYS_INLINE
CCTK_REAL8_VEC k8sgn(CCTK_REAL8_VEC const x)
{
CCTK_BOOLEAN8_VEC const iszero = k8cmpeq(x, vec8_set1(0.0));
- CCTK_REAL8_VEC const sign = _mm256_and_pd(k8sign, x);
+ CCTK_REAL8_VEC const sign = _mm256_and_pd(I2R(k8sign), x);
CCTK_REAL8_VEC const signedone = _mm256_or_pd(sign, vec8_set1(1.0));
return k8ifthen(iszero, vec8_set1(0.0), signedone);
}
+
+
+
+#undef I2R
+#undef R2I