| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | !!!############################################################################# | ||
| 2 | !!! Code written by Ned Thaddeus Taylor | ||
| 3 | !!! Code part of the ATHENA library - a feedforward neural network library | ||
| 4 | !!!############################################################################# | ||
| 5 | !!! module contains procedures for normalising input and output data | ||
| 6 | !!! module contains the following procedures: | ||
| 7 | !!! - linear_renormalise - renormalises input data to a range | ||
| 8 | !!! - renormalise_norm - renormalises input data to a unit norm | ||
| 9 | !!! - renormalise_sum - renormalises input data to a unit sum | ||
| 10 | !!!############################################################################# | ||
| 11 | module normalisation | ||
| 12 | use constants, only: real12 | ||
| 13 | implicit none | ||
| 14 | |||
| 15 | |||
| 16 | private | ||
| 17 | |||
| 18 | public :: linear_renormalise | ||
| 19 | public :: renormalise_norm | ||
| 20 | public :: renormalise_sum | ||
| 21 | |||
| 22 | contains | ||
| 23 | |||
| 24 | !!!############################################################################# | ||
| 25 | !!! | ||
| 26 | !!!############################################################################# | ||
| 27 |
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4 | subroutine linear_renormalise(input, min, max) |
| 28 | implicit none | ||
| 29 | real(real12), dimension(:), intent(inout) :: input | ||
| 30 | real(real12), optional, intent(in) :: min, max | ||
| 31 | |||
| 32 | real(real12) :: lower, width | ||
| 33 | real(real12) :: min_val, max_val | ||
| 34 | |||
| 35 |
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19 | min_val = minval(input) |
| 36 |
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19 | max_val = maxval(input) |
| 37 | |||
| 38 |
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4 | if(present(min))then |
| 39 | 1 | lower = min | |
| 40 | else | ||
| 41 | 3 | lower = -1._real12 | |
| 42 | end if | ||
| 43 |
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4 | if(present(max))then |
| 44 | 1 | width = max - min | |
| 45 | else | ||
| 46 | 3 | width = 2._real12 | |
| 47 | end if | ||
| 48 | |||
| 49 |
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19 | input = lower + width * (input - min_val)/(max_val - min_val) |
| 50 | |||
| 51 | 4 | end subroutine linear_renormalise | |
| 52 | !!!############################################################################# | ||
| 53 | |||
| 54 | |||
| 55 | !!!############################################################################# | ||
| 56 | !!! | ||
| 57 | !!!############################################################################# | ||
| 58 |
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2 | subroutine renormalise_norm(input, norm, mirror) |
| 59 | implicit none | ||
| 60 | real(real12), dimension(:), intent(inout) :: input | ||
| 61 | real(real12), optional, intent(in) :: norm | ||
| 62 | logical, optional, intent(in) :: mirror | ||
| 63 | |||
| 64 | real(real12) :: scale | ||
| 65 | |||
| 66 |
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2 | if(present(norm))then |
| 67 | 1 | scale = norm | |
| 68 | else | ||
| 69 | 1 | scale = 1._real12 | |
| 70 | end if | ||
| 71 | |||
| 72 |
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2 | if(present(mirror))then |
| 73 |
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1 | if(mirror) call linear_renormalise(input) |
| 74 | end if | ||
| 75 |
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22 | input = input * scale/sqrt(dot_product(input,input)) |
| 76 | |||
| 77 | 2 | end subroutine renormalise_norm | |
| 78 | !!!############################################################################# | ||
| 79 | |||
| 80 | |||
| 81 | !!!############################################################################# | ||
| 82 | !!! | ||
| 83 | !!!############################################################################# | ||
| 84 |
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2 | subroutine renormalise_sum(input, norm, mirror, magnitude) |
| 85 | implicit none | ||
| 86 | real(real12), dimension(:), intent(inout) :: input | ||
| 87 | real(real12), optional, intent(in) :: norm | ||
| 88 | logical, optional, intent(in) :: mirror, magnitude | ||
| 89 | |||
| 90 | logical :: magnitude_ | ||
| 91 | |||
| 92 | real(real12) :: scale | ||
| 93 | |||
| 94 |
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2 | if(present(norm))then |
| 95 | 1 | scale = norm | |
| 96 | else | ||
| 97 | 1 | scale = 1._real12 | |
| 98 | end if | ||
| 99 | |||
| 100 |
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2 | if(present(mirror))then |
| 101 |
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1 | if(mirror) call linear_renormalise(input) |
| 102 | end if | ||
| 103 | |||
| 104 |
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2 | if(present(magnitude)) magnitude_ = magnitude |
| 105 |
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2 | if(present(magnitude))then |
| 106 |
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4 | scale = scale/sum(abs(input)) |
| 107 | else | ||
| 108 |
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4 | scale = scale/sum(input) |
| 109 | end if | ||
| 110 |
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|
8 | input = input * scale |
| 111 | |||
| 112 | 2 | end subroutine renormalise_sum | |
| 113 | !!!############################################################################# | ||
| 114 | |||
| 115 | |||
| 116 | end module normalisation | ||
| 117 | !!!############################################################################# | ||
| 118 |