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
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
|
//===-- runtime/sum.cpp ---------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
// Implements SUM for all required operand types and shapes.
//
// Real and complex SUM reductions attempt to reduce floating-point
// cancellation on intermediate results by using "Kahan summation"
// (basically the same as manual "double-double").
#include "reduction-templates.h"
#include "flang/Common/float128.h"
#include "flang/Runtime/reduction.h"
#include <cfloat>
#include <cinttypes>
#include <complex>
namespace Fortran::runtime {
template <typename INTERMEDIATE> class IntegerSumAccumulator {
public:
explicit RT_API_ATTRS IntegerSumAccumulator(const Descriptor &array)
: array_{array} {}
void RT_API_ATTRS Reinitialize() { sum_ = 0; }
template <typename A>
RT_API_ATTRS void GetResult(A *p, int /*zeroBasedDim*/ = -1) const {
*p = static_cast<A>(sum_);
}
template <typename A>
RT_API_ATTRS bool AccumulateAt(const SubscriptValue at[]) {
sum_ += *array_.Element<A>(at);
return true;
}
private:
const Descriptor &array_;
INTERMEDIATE sum_{0};
};
template <typename INTERMEDIATE> class RealSumAccumulator {
public:
explicit RT_API_ATTRS RealSumAccumulator(const Descriptor &array)
: array_{array} {}
void RT_API_ATTRS Reinitialize() { sum_ = correction_ = 0; }
template <typename A> RT_API_ATTRS A Result() const { return sum_; }
template <typename A>
RT_API_ATTRS void GetResult(A *p, int /*zeroBasedDim*/ = -1) const {
*p = Result<A>();
}
template <typename A> RT_API_ATTRS bool Accumulate(A x) {
// Kahan summation
auto next{x - correction_};
auto oldSum{sum_};
sum_ += next;
correction_ = (sum_ - oldSum) - next; // algebraically zero
return true;
}
template <typename A>
RT_API_ATTRS bool AccumulateAt(const SubscriptValue at[]) {
return Accumulate(*array_.Element<A>(at));
}
private:
const Descriptor &array_;
INTERMEDIATE sum_{0.0}, correction_{0.0};
};
template <typename PART> class ComplexSumAccumulator {
public:
explicit RT_API_ATTRS ComplexSumAccumulator(const Descriptor &array)
: array_{array} {}
void RT_API_ATTRS Reinitialize() {
reals_.Reinitialize();
imaginaries_.Reinitialize();
}
template <typename A>
RT_API_ATTRS void GetResult(A *p, int /*zeroBasedDim*/ = -1) const {
using ResultPart = typename A::value_type;
*p = {reals_.template Result<ResultPart>(),
imaginaries_.template Result<ResultPart>()};
}
template <typename A> RT_API_ATTRS bool Accumulate(const A &z) {
reals_.Accumulate(z.real());
imaginaries_.Accumulate(z.imag());
return true;
}
template <typename A>
RT_API_ATTRS bool AccumulateAt(const SubscriptValue at[]) {
return Accumulate(*array_.Element<A>(at));
}
private:
const Descriptor &array_;
RealSumAccumulator<PART> reals_{array_}, imaginaries_{array_};
};
extern "C" {
RT_EXT_API_GROUP_BEGIN
CppTypeFor<TypeCategory::Integer, 1> RTDEF(SumInteger1)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Integer, 1>(x, source, line, dim, mask,
IntegerSumAccumulator<CppTypeFor<TypeCategory::Integer, 4>>{x}, "SUM");
}
CppTypeFor<TypeCategory::Integer, 2> RTDEF(SumInteger2)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Integer, 2>(x, source, line, dim, mask,
IntegerSumAccumulator<CppTypeFor<TypeCategory::Integer, 4>>{x}, "SUM");
}
CppTypeFor<TypeCategory::Integer, 4> RTDEF(SumInteger4)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Integer, 4>(x, source, line, dim, mask,
IntegerSumAccumulator<CppTypeFor<TypeCategory::Integer, 4>>{x}, "SUM");
}
CppTypeFor<TypeCategory::Integer, 8> RTDEF(SumInteger8)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Integer, 8>(x, source, line, dim, mask,
IntegerSumAccumulator<CppTypeFor<TypeCategory::Integer, 8>>{x}, "SUM");
}
#ifdef __SIZEOF_INT128__
CppTypeFor<TypeCategory::Integer, 16> RTDEF(SumInteger16)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Integer, 16>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Integer, 16>>{x},
"SUM");
}
#endif
CppTypeFor<TypeCategory::Unsigned, 1> RTDEF(SumUnsigned1)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Unsigned, 1>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Unsigned, 4>>{x},
"SUM");
}
CppTypeFor<TypeCategory::Unsigned, 2> RTDEF(SumUnsigned2)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Unsigned, 2>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Unsigned, 4>>{x},
"SUM");
}
CppTypeFor<TypeCategory::Unsigned, 4> RTDEF(SumUnsigned4)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Unsigned, 4>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Unsigned, 4>>{x},
"SUM");
}
CppTypeFor<TypeCategory::Unsigned, 8> RTDEF(SumUnsigned8)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Unsigned, 8>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Unsigned, 8>>{x},
"SUM");
}
#ifdef __SIZEOF_INT128__
CppTypeFor<TypeCategory::Unsigned, 16> RTDEF(SumUnsigned16)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Unsigned, 16>(x, source, line, dim,
mask, IntegerSumAccumulator<CppTypeFor<TypeCategory::Unsigned, 16>>{x},
"SUM");
}
#endif
// TODO: real/complex(2 & 3)
CppTypeFor<TypeCategory::Real, 4> RTDEF(SumReal4)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Real, 4>(
x, source, line, dim, mask, RealSumAccumulator<float>{x}, "SUM");
}
CppTypeFor<TypeCategory::Real, 8> RTDEF(SumReal8)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Real, 8>(
x, source, line, dim, mask, RealSumAccumulator<double>{x}, "SUM");
}
#if HAS_FLOAT80
CppTypeFor<TypeCategory::Real, 10> RTDEF(SumReal10)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Real, 10>(x, source, line, dim, mask,
RealSumAccumulator<CppTypeFor<TypeCategory::Real, 10>>{x}, "SUM");
}
#endif
#if HAS_LDBL128 || HAS_FLOAT128
CppTypeFor<TypeCategory::Real, 16> RTDEF(SumReal16)(const Descriptor &x,
const char *source, int line, int dim, const Descriptor *mask) {
return GetTotalReduction<TypeCategory::Real, 16>(x, source, line, dim, mask,
RealSumAccumulator<CppTypeFor<TypeCategory::Real, 16>>{x}, "SUM");
}
#endif
void RTDEF(CppSumComplex4)(CppTypeFor<TypeCategory::Complex, 4> &result,
const Descriptor &x, const char *source, int line, int dim,
const Descriptor *mask) {
result = GetTotalReduction<TypeCategory::Complex, 4>(
x, source, line, dim, mask, ComplexSumAccumulator<float>{x}, "SUM");
}
void RTDEF(CppSumComplex8)(CppTypeFor<TypeCategory::Complex, 8> &result,
const Descriptor &x, const char *source, int line, int dim,
const Descriptor *mask) {
result = GetTotalReduction<TypeCategory::Complex, 8>(
x, source, line, dim, mask, ComplexSumAccumulator<double>{x}, "SUM");
}
#if HAS_FLOAT80
void RTDEF(CppSumComplex10)(CppTypeFor<TypeCategory::Complex, 10> &result,
const Descriptor &x, const char *source, int line, int dim,
const Descriptor *mask) {
result =
GetTotalReduction<TypeCategory::Complex, 10>(x, source, line, dim, mask,
ComplexSumAccumulator<CppTypeFor<TypeCategory::Real, 10>>{x}, "SUM");
}
#endif
#if HAS_LDBL128 || HAS_FLOAT128
void RTDEF(CppSumComplex16)(CppTypeFor<TypeCategory::Complex, 16> &result,
const Descriptor &x, const char *source, int line, int dim,
const Descriptor *mask) {
result =
GetTotalReduction<TypeCategory::Complex, 16>(x, source, line, dim, mask,
ComplexSumAccumulator<CppTypeFor<TypeCategory::Real, 16>>{x}, "SUM");
}
#endif
void RTDEF(SumDim)(Descriptor &result, const Descriptor &x, int dim,
const char *source, int line, const Descriptor *mask) {
TypedPartialNumericReduction<IntegerSumAccumulator, RealSumAccumulator,
ComplexSumAccumulator, /*MIN_REAL_KIND=*/4>(
result, x, dim, source, line, mask, "SUM");
}
RT_EXT_API_GROUP_END
} // extern "C"
} // namespace Fortran::runtime
|
