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1 | !!!############################################################################# | ||
2 | !!! Code written by Ned Thaddeus Taylor | ||
3 | !!! Code part of the ATHENA library - a feedforward neural network library | ||
4 | !!!############################################################################# | ||
5 | !!! module contains implementation of the Gaussian initialisation | ||
6 | !!!############################################################################# | ||
7 | module initialiser_gaussian | ||
8 | use constants, only: real12, pi | ||
9 | use custom_types, only: initialiser_type | ||
10 | implicit none | ||
11 | |||
12 | |||
13 | type, extends(initialiser_type) :: gaussian_type | ||
14 | contains | ||
15 | procedure, pass(this) :: initialise => gaussian_initialise | ||
16 | end type gaussian_type | ||
17 | type(gaussian_type) :: gaussian | ||
18 | |||
19 | |||
20 | private | ||
21 | |||
22 | public :: gaussian | ||
23 | |||
24 | |||
25 | contains | ||
26 | |||
27 | !!!############################################################################# | ||
28 | !!! Gaussian initialisation | ||
29 | !!!############################################################################# | ||
30 | 20 | subroutine gaussian_initialise(this, input, fan_in, fan_out) | |
31 | implicit none | ||
32 | class(gaussian_type), intent(inout) :: this | ||
33 | real(real12), dimension(..), intent(out) :: input | ||
34 | integer, optional, intent(in) :: fan_in, fan_out | ||
35 | |||
36 | integer :: i, j, k, l, m, o | ||
37 | |||
38 | |||
39 | select rank(input) | ||
40 | rank(0) | ||
41 | 2 | call box_muller(input, this%mean, this%std) | |
42 | rank(1) | ||
43 |
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38 | do i=1, size(input) |
44 |
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38 | call box_muller(input(i), this%mean, this%std) |
45 | end do | ||
46 | rank(2) | ||
47 |
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4 | do i=1, size(input,1) |
48 |
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24 | do j=1, size(input,2) |
49 |
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22 | call box_muller(input(i,j), this%mean, this%std) |
50 | end do | ||
51 | end do | ||
52 | rank(3) | ||
53 |
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4 | do i=1, size(input,1) |
54 |
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6 | do j=1, size(input,2) |
55 |
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6 | do k=1, size(input,3) |
56 |
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4 | call box_muller(input(i,j,k), this%mean, this%std) |
57 | end do | ||
58 | end do | ||
59 | end do | ||
60 | rank(4) | ||
61 |
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8 | do i=1, size(input,1) |
62 |
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26 | do j=1, size(input,2) |
63 |
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78 | do k=1, size(input,3) |
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1800 | do l=1, size(input,4) |
65 |
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1782 | call box_muller(input(i,j,k,l), this%mean, this%std) |
66 | end do | ||
67 | end do | ||
68 | end do | ||
69 | end do | ||
70 | rank(5) | ||
71 |
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26 | do j=1, size(input,2) |
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78 | do k=1, size(input,3) |
74 |
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234 | do l=1, size(input,4) |
75 |
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5400 | do m=1, size(input,5) |
76 | ✗ | call box_muller(input(i,j,k,l,m), & | |
77 |
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5346 | this%mean, this%std) |
78 | end do | ||
79 | end do | ||
80 | end do | ||
81 | end do | ||
82 | end do | ||
83 | rank(6) | ||
84 |
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4 | do i=1, size(input,1) |
85 |
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6 | do j=1, size(input,2) |
86 |
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6 | do k=1, size(input,3) |
87 |
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88 |
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6 | do m=1, size(input,5) |
89 |
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6 | do o=1, size(input,6) |
90 | ✗ | call box_muller(input(i,j,k,l,m,o), & | |
91 |
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4 | this%mean, this%std) |
92 | end do | ||
93 | end do | ||
94 | end do | ||
95 | end do | ||
96 | end do | ||
97 | end do | ||
98 | end select | ||
99 | |||
100 | 20 | end subroutine gaussian_initialise | |
101 | !!!############################################################################# | ||
102 | |||
103 | |||
104 | !!!############################################################################# | ||
105 | !!! element-wise Gaussian initialisation | ||
106 | !!!############################################################################# | ||
107 | 6968 | subroutine box_muller(input, mean, std) | |
108 | implicit none | ||
109 | real(real12), intent(out) :: input | ||
110 | real(real12), intent(in) :: mean, std | ||
111 | |||
112 | real(real12) :: r1, r2 | ||
113 | |||
114 | 6968 | call random_number(r1) | |
115 | 6968 | call random_number(r2) | |
116 | 6968 | input = sqrt(-2._real12 * log(r1)) | |
117 | 6968 | input = input * cos(2._real12 * pi * r2) | |
118 | 6968 | input = mean + std * input | |
119 | |||
120 | 6968 | end subroutine box_muller | |
121 | !!!############################################################################# | ||
122 | |||
123 |
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20 | end module initialiser_gaussian |
124 | !!!############################################################################# | ||
125 |