1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
|
// -*-C++-*-
// Vectorise using IBM's Altivec (Power)
// Use the type vector double directly, without introducing a wrapper class
// Use macros instead of inline functions
#include <altivec.h>
#define vec4_architecture "Altivec"
// Vector type corresponding to CCTK_REAL
#define CCTK_REAL4_VEC vector float
// Number of vector elements in a CCTK_REAL_VEC
#define CCTK_REAL4_VEC_SIZE 4
// Integer and boolean types corresponding to this real type
#define CCTK_INTEGER4 CCTK_REAL4
#define CCTK_BOOLEAN4 CCTK_REAL4
#define CCTK_INTEGER4_VEC CCTK_REAL4_VEC
#define CCTK_BOOLEAN4_VEC CCTK_REAL4_VEC
// Create vectors, extract vector elements
#define vec4_set1(a) (vec_splats(a))
#define vec4_set(a,b,c,d) \
({ \
CCTK_REAL4_VEC x; \
x[0]=(a); \
x[1]=(b); \
x[2]=(c); \
x[3]=(d); \
x; \
})
#define vec4_elt0(x) ((x)[0])
#define vec4_elt1(x) ((x)[1])
#define vec4_elt2(x) ((x)[2])
#define vec4_elt3(x) ((x)[3])
#define vec4_elt(x,d) ((x)[d])
// Load and store vectors
// Load a vector from memory (aligned and unaligned); this loads from
// a reference to a scalar
#define vec4_load(p) (*(CCTK_REAL4_VEC const*)&(p))
#define vec4_loadu(p) (*(CCTK_REAL4_VEC const*)&(p))
// Load a vector from memory that may or may not be aligned, as
// decided by the offset and the vector size
#define vec4_loadu_maybe(off,p) (vec4_loadu(p))
#define vec4_loadu_maybe3(off1,off2,off3,p) (vec4_loadu(p))
// Store a vector to memory (aligned and non-temporal); this stores to
// a reference to a scalar
#define vec4_store(p,x) (*(CCTK_REAL4_VEC*)&(p)=(x))
#define vec4_storeu(p,x) (*(CCTK_REAL4_VEC*)&(p)=(x))
#if ! VECTORISE_STREAMING_STORES
# define vec4_store_nta(p,x) (vec4_store(p,x))
#else
// use stvxl instruction
# define vec4_store_nta(p,x) (vec_stl(x,0,(CCTK_REAL4_VEC*)&(p)))
#endif
// Store a lower or higher partial vector (aligned and non-temporal);
// the non-temporal hint is probably ignored
#define vec4_store_nta_partial_lo(p_,x_,n) \
({ \
CCTK_REAL4 const& p__=(p_); \
CCTK_REAL4_VEC const x__=(x_); \
CCTK_REAL4 const& p=p__; \
CCTK_REAL4_VEC const x=x__; \
switch (n) { \
case 3: (&p)[2]=x[2]; \
case 2: (&p)[1]=x[1]; \
case 1: (&p)[0]=x[0]; \
} \
})
#define vec4_store_nta_partial_hi(p_,x_,n) \
({ \
CCTK_REAL4 const& p__=(p_); \
CCTK_REAL4_VEC const x__=(x_); \
CCTK_REAL4 const& p=p__; \
CCTK_REAL4_VEC const x=x__; \
switch (n) { \
case 3: (&p)[1]=x[1]; \
case 2: (&p)[2]=x[2]; \
case 1: (&p)[3]=x[3]; \
} \
})
#define vec4_store_nta_partial_mid(p_,x_,nlo_,nhi_) \
({ \
CCTK_REAL4 const& p__ =(p_); \
CCTK_REAL4_VEC const x__ =(x_); \
int const nlo__=(nlo_); \
int const nhi__=(nhi_); \
CCTK_REAL4 const& p =p__; \
CCTK_REAL4_VEC const x =x__; \
int const nlo=nlo__; \
int const nhi=nhi__; \
if (nlo==3 and nhi==3) { \
(&p)[1]=x[1]; \
(&p)[2]=x[2]; \
} else if (nlo==2 and nhi==3) { \
(&p)[1]=x[1]; \
} else if (nlo==3 and nhi==2) { \
(&p)[2]=x[2]; \
} \
})
// Functions and operators
// Operators
#define k4neg(x) (-(x))
#define k4add(x,y) ((x)+(y))
#define k4sub(x,y) ((x)-(y))
#define k4mul(x,y) ((x)*(y))
#define k4div(x,y) ((x)/(y))
// Fused multiply-add, defined as [+-]x*y[+-]z
#define k4madd(x,y,z) (vec_madd(x,y,z))
#define k4msub(x,y,z) (vec_msub(x,y,z))
#define k4nmadd(x,y,z) (vec_nmadd(x,y,z))
#define k4nmsub(x,y,z) (vec_nmsub(x,y,z))
// Cheap functions
#define k4fabs(x) (vec_abs(x))
#define k4fmax(x,y) (vec_max(x,y))
#define k4fmin(x,y) (vec_min(x,y))
#define k4fnabs(x) (vec_nabs(x))
// Expensive functions
#define K4REPL(f,x_) \
({ \
CCTK_REAL4_VEC const x__=(x_); \
CCTK_REAL4_VEC const x=x__; \
vec4_set(f(vec4_elt0(x)), \
f(vec4_elt1(x)), \
f(vec4_elt2(x)), \
f(vec4_elt3(x))); \
})
#define K4REPL2S(f,x_,a_) \
({ \
CCTK_REAL4_VEC const x__=(x_); \
CCTK_REAL4 const a__=(a_); \
CCTK_REAL4_VEC const x=x__; \
CCTK_REAL4 const a=a__; \
vec4_set(f(vec4_elt0(x),a), \
f(vec4_elt1(x),a), \
f(vec4_elt2(x),a), \
f(vec4_elt3(x),a)); \
})
#define K4REPL2(f,x_,y_) \
({ \
CCTK_REAL4_VEC const x__=(x_); \
CCTK_REAL4_VEC const y__=(y_); \
CCTK_REAL4_VEC const x=x__; \
CCTK_REAL4_VEC const y=y__; \
vec4_set(f(vec4_elt0(x),vec4_elt0(y)), \
f(vec4_elt1(x),vec4_elt1(y)), \
f(vec4_elt2(x),vec4_elt2(y)), \
f(vec4_elt3(x),vec4_elt3(y))); \
})
#define k4acos(x) K4REPL(acosf,x)
#define k4acosh(x) K4REPL(acoshf,x)
#define k4asin(x) K4REPL(asinf,x)
#define k4asinh(x) K4REPL(asinhf,x)
#define k4atan(x) K4REPL(atanf,x)
#define k4atan2(x,y) K4REPL2(atan2f,x,y)
#define k4atanh(x) K4REPL(atanhf,x)
#define k4cos(x) K4REPL(cosf,x)
#define k4cosh(x) K4REPL(coshf,x)
#define k4exp(x) K4REPL(expf,x)
#define k4log(x) K4REPL(logf,x)
#define k4pow(x,a) K4REPL2S(powf,x,a)
#define k4sin(x) K4REPL(sinf,x)
#define k4sinh(x) K4REPL(sinhf,x)
#define k4tan(x) K4REPL(tanf,x)
#define k4tanh(x) K4REPL(tanhf,x)
#define k4ifmsb(x,y,z) \
(vec_sel((z), (y), vec_sra(vec_convert((x), &(vector int*)0), 31)))
|
