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
|
! Copyright 2019 Wojciech Kosior
! This is free and unencumbered software released into the public domain.
! Anyone is free to copy, modify, publish, use, compile, sell, or
! distribute this software, either in source code form or as a compiled
! binary, for any purpose, commercial or non-commercial, and by any
! means.
! In jurisdictions that recognize copyright laws, the author or authors
! of this software dedicate any and all copyright interest in the
! software to the public domain. We make this dedication for the benefit
! of the public at large and to the detriment of our heirs and
! successors. We intend this dedication to be an overt act of
! relinquishment in perpetuity of all present and future rights to this
! software under copyright law.
! THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
! EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
! MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
! IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
! OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
! ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
! OTHER DEALINGS IN THE SOFTWARE.
! For more information, please refer to <http://unlicense.org/>
MODULE blockmat
IMPLICIT none
PRIVATE
PUBLIC :: blockmull
PRIVATE :: blockmull_4, blockmull_8, blockmull_16
INTERFACE blockmull
procedure blockmull_4, blockmull_8, blockmull_16
END INTERFACE blockmull
CONTAINS
FUNCTION blockmull_4(A, B) result(C)
IMPLICIT none
real(kind=4), intent(in), dimension(1:,1:) :: A, B
real(kind=4), dimension(size(A, 1), size(B, 2)) :: C
integer :: i, ii, ii_max, iiend, j, k, kk, kk_max, kkend
integer, parameter :: blocksize = 400
C = 0
kk_max = (size(A, 2) / blocksize) * blocksize + 1
ii_max = (size(A, 1) / blocksize) * blocksize + 1
DO kk = 1, kk_max, blocksize
IF (kk .lt. kk_max) kkend = kk + blocksize - 1
IF (kk .eq. kk_max) THEN
kkend = size(A, 2)
IF (kk .gt. kkend) EXIT
END IF
DO ii = 1, ii_max, blocksize
IF (ii .lt. ii_max) iiend = ii + blocksize - 1
IF (ii .eq. ii_max) THEN
iiend = size(A, 1)
IF (ii .gt. iiend) EXIT
END IF
DO j = 1, size(B, 2)
DO k = kk, kkend
C(ii:iiend,j) = C(ii:iiend,j) + A(ii:iiend,k) * B(k,j)
END DO
END DO
END DO
END DO
END FUNCTION blockmull_4
FUNCTION blockmull_8(A, B) result(C)
IMPLICIT none
real(kind=8), intent(in), dimension(1:,1:) :: A, B
real(kind=8), dimension(size(A, 1), size(B, 2)) :: C
integer :: i, ii, ii_max, iiend, j, k, kk, kk_max, kkend
integer, parameter :: blocksize = 44
C = 0
kk_max = (size(A, 2) / blocksize) * blocksize + 1
ii_max = (size(A, 1) / blocksize) * blocksize + 1
DO kk = 1, kk_max, blocksize
IF (kk .lt. kk_max) kkend = kk + blocksize - 1
IF (kk .eq. kk_max) THEN
kkend = size(A, 2)
IF (kk .gt. kkend) EXIT
END IF
DO ii = 1, ii_max, blocksize
IF (ii .lt. ii_max) iiend = ii + blocksize - 1
IF (ii .eq. ii_max) THEN
iiend = size(A, 1)
IF (ii .gt. iiend) EXIT
END IF
DO j = 1, size(B, 2)
DO k = kk, kkend
C(ii:iiend,j) = C(ii:iiend,j) + A(ii:iiend,k) * B(k,j)
END DO
END DO
END DO
END DO
END FUNCTION blockmull_8
FUNCTION blockmull_16(A, B) result(C)
IMPLICIT none
real(kind=16), intent(in), dimension(1:,1:) :: A, B
real(kind=16), dimension(size(A, 1), size(B, 2)) :: C
integer :: i, ii, ii_max, iiend, j, k, kk, kk_max, kkend
integer, parameter :: blocksize = 28
C = 0
kk_max = (size(A, 2) / blocksize) * blocksize + 1
ii_max = (size(A, 1) / blocksize) * blocksize + 1
DO kk = 1, kk_max, blocksize
IF (kk .lt. kk_max) kkend = kk + blocksize - 1
IF (kk .eq. kk_max) THEN
kkend = size(A, 2)
IF (kk .gt. kkend) EXIT
END IF
DO ii = 1, ii_max, blocksize
IF (ii .lt. ii_max) iiend = ii + blocksize - 1
IF (ii .eq. ii_max) THEN
iiend = size(A, 1)
IF (ii .gt. iiend) EXIT
END IF
DO j = 1, size(B, 2)
DO k = kk, kkend
C(ii:iiend,j) = C(ii:iiend,j) + A(ii:iiend,k) * B(k,j)
END DO
END DO
END DO
END DO
END FUNCTION blockmull_16
END MODULE blockmat
|
