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// Vectorise using IBM's Blue Gene/Q QPX (Power)
// Use the type vector4double directly, without introducing a wrapper class
// Use macros instead of inline functions
// Note: bgxlC_r does not like const declarations, so we need to cast
// them away and/or omit them everywhere
// See <http://pic.dhe.ibm.com/infocenter/compbg/v121v141/index.jsp>
#include <assert.h>
#ifdef __cplusplus
# include <builtins.h>
#endif
#define vec8_architecture "QPX"
// Vector type corresponding to CCTK_REAL
// TODO: Use a typedef to avoid the "const" issue? Or use a struct?
// #define CCTK_REAL8_VEC vector4double
struct CCTK_REAL8_VEC {
vector4double v;
CCTK_REAL8_VEC() {}
CCTK_REAL8_VEC(CCTK_REAL8_VEC const& x): v(x.v) {}
CCTK_REAL8_VEC(vector4double v_): v(v_) {}
operator vector4double() const { return v; }
};
// Number of vector elements in a CCTK_REAL_VEC
#define CCTK_REAL8_VEC_SIZE 4
// Integer and boolean types corresponding to this real type
#define CCTK_INTEGER8 CCTK_REAL8
#define CCTK_BOOLEAN8 CCTK_REAL8
#define CCTK_INTEGER8_VEC CCTK_REAL8_VEC
#define CCTK_BOOLEAN8_VEC CCTK_REAL8_VEC
// Create vectors, extract vector elements
#define vec8_set1(a) (vec_splats(a))
#define vec8_set(a,b,c,d) ((vector4double){a,b,c,d})
#define vec8_elt0(x) (vec_extract(x,0))
#define vec8_elt1(x) (vec_extract(x,1))
#define vec8_elt2(x) (vec_extract(x,2))
#define vec8_elt3(x) (vec_extract(x,3))
#define vec8_elt(x,d) (vec_extract(x,d))
// Load and store vectors
// Load a vector from memory (aligned and unaligned); this loads from
// a reference to a scalar
#define vec8_load(p) (vec_lda(0,(CCTK_REAL8*)&(p)))
#define vec8_loadu(p_) \
({ \
CCTK_REAL8 const& p__=(p_); \
CCTK_REAL8& p = *(CCTK_REAL8*)&p__; \
vector4double v1, v2, vp; \
v1 = vec_ld(0,&p); /* load the left part of the vector */ \
v2 = vec_ld(32,&p); /* load the right part of the vector */ \
vp = vec_lvsl(0,&p); /* generate control value */ \
vec_perm(v1,v2,vp); /* generate the aligned vector */ \
})
// Load a vector from memory that may or may not be aligned, as
// decided by the offset and the vector size
#if VECTORISE_ALWAYS_USE_UNALIGNED_LOADS
// Implementation: Always use unaligned load
# define vec8_loadu_maybe(off,p) vec8_loadu(p)
# define vec8_loadu_maybe3(off1,off2,off3,p) vec8_loadu(p)
#else
# define vec8_loadu_maybe(off,p_) \
({ \
CCTK_REAL8 const& p__=(p_); \
CCTK_REAL8 const& p=p__; \
(off) % CCTK_REAL8_VEC_SIZE == 0 ? \
vec8_load(p) : \
vec8_loadu(p); \
})
# if VECTORISE_ALIGNED_ARRAYS
// Assume all array x sizes are multiples of the vector size
# define vec8_loadu_maybe3(off1,off2,off3,p) vec8_loadu_maybe(off1,p)
# else
# define vec8_loadu_maybe3(off1,off2,off3,p_) \
({ \
CCTK_REAL8 const& p__=(p_); \
CCTK_REAL8 const& p=p__; \
((off2) % CCTK_REAL8_VEC_SIZE != 0 or \
(off3) % CCTK_REAL8_VEC_SIZE != 0) ? \
vec8_loadu(p) : \
vec8_loadu_maybe(off1,p); \
})
# endif
#endif
// Store a vector to memory (aligned and non-temporal); this stores to
// a reference to a scalar
#define vec8_store(p,x) (vec_sta(x,0,&(p)))
#define vec8_storeu(p_,x_) \
({ \
CCTK_REAL8& p__=(p_); \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8& p=p__; \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC v1, v2, v3, vp, m1, m2, m3; \
/* generate insert masks */ \
vp = vec_lvsr(0,&p); \
m1 = k8lfalse; \
m2 = k8ltrue; \
m3 = vec_perm(m1,m2,vp); \
/* get existing data */ \
v1 = vec_ld(0,&p); \
v2 = vec_ld(32,&p); \
/* permute and insert */ \
v3 = vec_perm(x,x,vp); \
v1 = vec_sel(v1,v3,m3); \
v2 = vec_sel(v3,v2,m3); \
/* store data back */ \
vec_st(0,&p,v1); \
vec_st(32,&p,v2); \
})
#define vec8_store_nta(p,x) (vec_sta(x,0,&(p))) // this doesn't avoid the cache
// Store a partial vector (aligned and non-temporal)
#define vec8_store_partial_prepare(i,imin_,imax_) \
bool v8stp_all; \
CCTK_REAL8_VEC v8stp_mask; \
({ \
ptrdiff_t const imin__=(imin_); \
ptrdiff_t const imax__=(imax_); \
ptrdiff_t const imin=imin__; \
ptrdiff_t const imax=imax__; \
\
v8stp_all = i-imin>=0 and i-imax<=-CCTK_REAL8_VEC_SIZE; \
\
if (not CCTK_BUILTIN_EXPECT(v8stp_all, true)) { \
CCTK_REAL8_VEC vp_lo, vp_hi, mask_lo, mask_hi; \
vp_lo = vec_lvsl(i-imin, (CCTK_REAL*)CCTK_REAL8_VEC_SIZE); \
mask_lo = (i-imin>=0 ? \
k8ltrue : \
vec_perm(k8lfalse, k8ltrue, vp_lo)); \
vp_hi = vec_lvsl(i-imax, (CCTK_REAL*)CCTK_REAL8_VEC_SIZE); \
mask_hi = (i-imax<=-CCTK_REAL8_VEC_SIZE ? \
k8ltrue : \
vec_perm(k8ltrue, k8lfalse, vp_hi)); \
v8stp_mask = vec_and(mask_lo, mask_hi); \
} \
})
#define vec8_store_nta_partial(p_,x_) \
({ \
CCTK_REAL8& p__=(p_); \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8& p=p__; \
CCTK_REAL8_VEC x=x__; \
if (CCTK_BUILTIN_EXPECT(v8stp_all, true)) { \
vec8_store(p, x); \
} else { \
vec8_store(p, vec_sel(vec8_load(p), x, v8stp_mask)); \
} \
})
// Store a lower or higher partial vector (aligned and non-temporal);
// the non-temporal hint is probably ignored
#define vec8_store_nta_partial_lo(p_,x_,n) \
({ \
CCTK_REAL8& p__=(p_); \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8& p=p__; \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC vp_hi, mask_hi; \
vp_hi = vec_lvsl(CCTK_REAL8_VEC_SIZE-n, (CCTK_REAL*)0); \
mask_hi = vec_perm(k8ltrue, k8lfalse, vp_hi); \
vec8_store(p, vec_sel(vec8_load(p), x, mask_hi)); \
})
#define vec8_store_nta_partial_hi(p_,x_,n) \
({ \
CCTK_REAL8& p__=(p_); \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8& p=p__; \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC vp_lo, mask_lo; \
vp_lo = vec_lvsl(n, (CCTK_REAL*)0); \
mask_lo = vec_perm(k8lfalse, k8ltrue, vp_lo); \
vec8_store(p, vec_sel(vec8_load(p), x, mask_lo)); \
})
#define vec8_store_nta_partial_mid(p_,x_,nlo,nhi) \
({ \
CCTK_REAL8& p__=(p_); \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8 p=p__; \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC vp_lo, mask_lo; \
vp_lo = vec_lvsl(nhi, (CCTK_REAL*)0); \
mask_lo = vec_perm(k8lfalse, k8ltrue, vp_lo); \
CCTK_REAL8_VEC vp_hi, mask_hi; \
vp_hi = vec_lvsl(CCTK_REAL8_VEC_SIZE-nlo, (CCTK_REAL*)0); \
mask_hi = vec_perm(k8ltrue, k8lfalse, vp_hi); \
CCTK_REAL8_VEC mask; \
mask = vec_and(mask_lo, mask_hi); \
vec8_store(p, vec_sel(vec8_load(p), x, mask)); \
})
// Functions and operators
// Operators
#define k8neg(x) (vec_neg(x))
#define k8add(x,y) (vec_add(x,y))
#define k8sub(x,y) (vec_sub(x,y))
#define k8mul(x,y) (vec_mul(x,y))
#define k8div(x,y) (vec_swdiv_nochk(x,y))
// Fused multiply-add, defined as [+-]x*y[+-]z
#define k8madd(x,y,z) (vec_madd(z,x,y))
#define k8msub(x,y,z) (vec_msub(z,x,y))
#define k8nmadd(x,y,z) (vec_nmadd(z,x,y))
#define k8nmsub(x,y,z) (vec_nmsub(z,x,y))
// Cheap functions
#define k8copysign(x,y) (vec_cpsgn(y,x))
#define k8fabs(x) (vec_abs(x))
#define k8fmax(x_,y_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8_VEC y__=(y_); \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC y=y__; \
vec_sel(vec_cmpgt(y,x),y,x); \
})
#define k8fmin(x_,y_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8_VEC y__=(y_); \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC y=y__; \
vec_sel(vec_cmplt(y,x),y,x); \
})
#define k8fnabs(x) (vec_nabs(x))
#define k8sgn(x_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC one, zero, iszero; \
one = k8ltrue; \
zero = vec_sub(one, one); \
iszero = vec_cmpeq(x, zero); \
k8ifthen(iszero, zero, vec_cpsgn(one, x)); \
})
#define k8sqrt(x) (vec_swsqrt_nochk(x))
// Expensive functions
#define K8REPL(f,x_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8_VEC x=x__; \
vec8_set(f(vec8_elt0(x)), \
f(vec8_elt1(x)), \
f(vec8_elt2(x)), \
f(vec8_elt3(x))); \
})
#define K8REPL2S(f,x_,a_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8 a__=(a_); \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8 a=a__; \
vec8_set(f(vec8_elt0(x),a), \
f(vec8_elt1(x),a), \
f(vec8_elt2(x),a), \
f(vec8_elt3(x),a)); \
})
#define K8REPL2(f,x_,y_) \
({ \
CCTK_REAL8_VEC x__=(x_); \
CCTK_REAL8_VEC y__=(y_); \
CCTK_REAL8_VEC x=x__; \
CCTK_REAL8_VEC y=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))); \
})
#define k8acos(x) K8REPL(acos,x)
#define k8acosh(x) K8REPL(acosh,x)
#define k8asin(x) K8REPL(asin,x)
#define k8asinh(x) K8REPL(asinh,x)
#define k8atan(x) K8REPL(atan,x)
#define k8atan2(x,y) K8REPL2(atan2,x,y)
#define k8atanh(x) K8REPL(atanh,x)
#define k8cos(x) K8REPL(cos,x)
#define k8cosh(x) K8REPL(cosh,x)
#define k8exp(x) K8REPL(exp,x)
#define k8log(x) K8REPL(log,x)
#define k8pow(x,a) K8REPL2S(pow,x,a)
#define k8sin(x) K8REPL(sin,x)
#define k8sinh(x) K8REPL(sinh,x)
#define k8tan(x) K8REPL(tan,x)
#define k8tanh(x) K8REPL(tanh,x)
// canonical true is +1.0, canonical false is -1.0
// >=0 is true, -0 is true, nan is false
#define k8lfalse \
({ CCTK_REAL8_VEC dummy; vec_logical(dummy,dummy,0x0); })
#define k8ltrue \
({ CCTK_REAL8_VEC dummy; vec_logical(dummy,dummy,0xf); })
#define k8lnot(x) (vec_not(x))
#define k8land(x,y) (vec_and(x,y))
#define k8lor(x,y) (vec_or(x,y))
#define k8lxor(x,y) (vec_xor(x,y))
#define k8ifthen(x,y,z) (vec_sel(z,x,y))
#define k8cmpeq(x,y) (vec_cmpeq(x,y))
#define k8cmpne(x,y) (vec_not(vec_cmpeq(x,y)))
#define k8cmpgt(x,y) (vec_cmpgt(x,y))
#define k8cmpge(x,y) (vec_not(vec_cmplt(x,y)))
#define k8cmplt(x,y) (vec_cmplt(x,y))
#define k8cmple(x,y) (vec_not(vec_cmpgt(x,y)))
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