src/preprocessor/diagrams/fibonacci_recursive_out_in_demo.svg

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@startuml

!function $fibonacci($n)
    !if $n == 0
        !return 0
    !elseif $n == 1
        !return 1
    !else
        /' create named variables because it seems the preprocessor cannot
           handle two unnamed temporary variables. Following code crashes at 
           "compile time": 
           
           !return $fibonacci($n - 1) + $fibonacci($n - 2) '/
        !$fibonacci_n_minus_1 = $fibonacci($n - 1)
        !$fibonacci_n_minus_2 = $fibonacci($n - 2)
        !return $fibonacci_n_minus_1 + $fibonacci_n_minus_2
    !endif
!endfunction

!procedure $create_state($name, $instance_name, $value)
    state "$name" as $instance_name
    $instance_name : $value
!endprocedure

!procedure $connect_states($instance1_name, $instance2_name)
    $instance1_name -down-> $instance2_name
!endprocedure

/' draws the fibonacci recursion tree for the specified integer n. '/
!procedure $make_fibonacci_tree($n, $index = 0)
    !if $n >= 0
        !$fibonacci_n = $fibonacci($n)
        $create_state($n, $index, $fibonacci_n)
        /' as the same number can appear multiple times in the fibonacci tree,
           $index is used to create distinct node instances. the procedure is
           called recursively choosing a different $index value for each call.
           heap numbering approach is used to compute the $index value. '/
    !endif

    !if $n >= 2
        !$left_child_instance_name = $index * 2 + 1
        $make_fibonacci_tree($n - 1, $left_child_instance_name)
        $connect_states($index, $left_child_instance_name)

        !$right_child_instance_name = $index * 2 + 2
        $make_fibonacci_tree($n - 2, $right_child_instance_name)
        $connect_states($index, $right_child_instance_name)
    !endif
!endprocedure

$make_fibonacci_tree(10)

@enduml

@startuml


            state "10" as 0
    0 : 55

            state "9" as 1
    1 : 34

            state "8" as 3
    3 : 21

            state "7" as 7
    7 : 13

            state "6" as 15
    15 : 8

            state "5" as 31
    31 : 5

            state "4" as 63
    63 : 3

            state "3" as 127
    127 : 2

            state "2" as 255
    255 : 1

            state "1" as 511
    511 : 1

            255 -down-> 511

            state "0" as 512
    512 : 0

            255 -down-> 512
            127 -down-> 255

            state "1" as 256
    256 : 1

            127 -down-> 256
            63 -down-> 127

            state "2" as 128
    128 : 1

            state "1" as 257
    257 : 1

            128 -down-> 257

            state "0" as 258
    258 : 0

            128 -down-> 258
            63 -down-> 128
            31 -down-> 63

            state "3" as 64
    64 : 2

            state "2" as 129
    129 : 1

            state "1" as 259
    259 : 1

            129 -down-> 259

            state "0" as 260
    260 : 0

            129 -down-> 260
            64 -down-> 129

            state "1" as 130
    130 : 1

            64 -down-> 130
            31 -down-> 64
            15 -down-> 31

            state "4" as 32
    32 : 3

            state "3" as 65
    65 : 2

            state "2" as 131
    131 : 1

            state "1" as 263
    263 : 1

            131 -down-> 263

            state "0" as 264
    264 : 0

            131 -down-> 264
            65 -down-> 131

            state "1" as 132
    132 : 1

            65 -down-> 132
            32 -down-> 65

            state "2" as 66
    66 : 1

            state "1" as 133
    133 : 1

            66 -down-> 133

            state "0" as 134
    134 : 0

            66 -down-> 134
            32 -down-> 66
            15 -down-> 32
            7 -down-> 15

            state "5" as 16
    16 : 5

            state "4" as 33
    33 : 3

            state "3" as 67
    67 : 2

            state "2" as 135
    135 : 1

            state "1" as 271
    271 : 1

            135 -down-> 271

            state "0" as 272
    272 : 0

            135 -down-> 272
            67 -down-> 135

            state "1" as 136
    136 : 1

            67 -down-> 136
            33 -down-> 67

            state "2" as 68
    68 : 1

            state "1" as 137
    137 : 1

            68 -down-> 137

            state "0" as 138
    138 : 0

            68 -down-> 138
            33 -down-> 68
            16 -down-> 33

            state "3" as 34
    34 : 2

            state "2" as 69
    69 : 1

            state "1" as 139
    139 : 1

            69 -down-> 139

            state "0" as 140
    140 : 0

            69 -down-> 140
            34 -down-> 69

            state "1" as 70
    70 : 1

            34 -down-> 70
            16 -down-> 34
            7 -down-> 16
            3 -down-> 7

            state "6" as 8
    8 : 8

            state "5" as 17
    17 : 5

            state "4" as 35
    35 : 3

            state "3" as 71
    71 : 2

            state "2" as 143
    143 : 1

            state "1" as 287
    287 : 1

            143 -down-> 287

            state "0" as 288
    288 : 0

            143 -down-> 288
            71 -down-> 143

            state "1" as 144
    144 : 1

            71 -down-> 144
            35 -down-> 71

            state "2" as 72
    72 : 1

            state "1" as 145
    145 : 1

            72 -down-> 145

            state "0" as 146
    146 : 0

            72 -down-> 146
            35 -down-> 72
            17 -down-> 35

            state "3" as 36
    36 : 2

            state "2" as 73
    73 : 1

            state "1" as 147
    147 : 1

            73 -down-> 147

            state "0" as 148
    148 : 0

            73 -down-> 148
            36 -down-> 73

            state "1" as 74
    74 : 1

            36 -down-> 74
            17 -down-> 36
            8 -down-> 17

            state "4" as 18
    18 : 3

            state "3" as 37
    37 : 2

            state "2" as 75
    75 : 1

            state "1" as 151
    151 : 1

            75 -down-> 151

            state "0" as 152
    152 : 0

            75 -down-> 152
            37 -down-> 75

            state "1" as 76
    76 : 1

            37 -down-> 76
            18 -down-> 37

            state "2" as 38
    38 : 1

            state "1" as 77
    77 : 1

            38 -down-> 77

            state "0" as 78
    78 : 0

            38 -down-> 78
            18 -down-> 38
            8 -down-> 18
            3 -down-> 8
            1 -down-> 3

            state "7" as 4
    4 : 13

            state "6" as 9
    9 : 8

            state "5" as 19
    19 : 5

            state "4" as 39
    39 : 3

            state "3" as 79
    79 : 2

            state "2" as 159
    159 : 1

            state "1" as 319
    319 : 1

            159 -down-> 319

            state "0" as 320
    320 : 0

            159 -down-> 320
            79 -down-> 159

            state "1" as 160
    160 : 1

            79 -down-> 160
            39 -down-> 79

            state "2" as 80
    80 : 1

            state "1" as 161
    161 : 1

            80 -down-> 161

            state "0" as 162
    162 : 0

            80 -down-> 162
            39 -down-> 80
            19 -down-> 39

            state "3" as 40
    40 : 2

            state "2" as 81
    81 : 1

            state "1" as 163
    163 : 1

            81 -down-> 163

            state "0" as 164
    164 : 0

            81 -down-> 164
            40 -down-> 81

            state "1" as 82
    82 : 1

            40 -down-> 82
            19 -down-> 40
            9 -down-> 19

            state "4" as 20
    20 : 3

            state "3" as 41
    41 : 2

            state "2" as 83
    83 : 1

            state "1" as 167
    167 : 1

            83 -down-> 167

            state "0" as 168
    168 : 0

            83 -down-> 168
            41 -down-> 83

            state "1" as 84
    84 : 1

            41 -down-> 84
            20 -down-> 41

            state "2" as 42
    42 : 1

            state "1" as 85
    85 : 1

            42 -down-> 85

            state "0" as 86
    86 : 0

            42 -down-> 86
            20 -down-> 42
            9 -down-> 20
            4 -down-> 9

            state "5" as 10
    10 : 5

            state "4" as 21
    21 : 3

            state "3" as 43
    43 : 2

            state "2" as 87
    87 : 1

            state "1" as 175
    175 : 1

            87 -down-> 175

            state "0" as 176
    176 : 0

            87 -down-> 176
            43 -down-> 87

            state "1" as 88
    88 : 1

            43 -down-> 88
            21 -down-> 43

            state "2" as 44
    44 : 1

            state "1" as 89
    89 : 1

            44 -down-> 89

            state "0" as 90
    90 : 0

            44 -down-> 90
            21 -down-> 44
            10 -down-> 21

            state "3" as 22
    22 : 2

            state "2" as 45
    45 : 1

            state "1" as 91
    91 : 1

            45 -down-> 91

            state "0" as 92
    92 : 0

            45 -down-> 92
            22 -down-> 45

            state "1" as 46
    46 : 1

            22 -down-> 46
            10 -down-> 22
            4 -down-> 10
            1 -down-> 4
            0 -down-> 1

            state "8" as 2
    2 : 21

            state "7" as 5
    5 : 13

            state "6" as 11
    11 : 8

            state "5" as 23
    23 : 5

            state "4" as 47
    47 : 3

            state "3" as 95
    95 : 2

            state "2" as 191
    191 : 1

            state "1" as 383
    383 : 1

            191 -down-> 383

            state "0" as 384
    384 : 0

            191 -down-> 384
            95 -down-> 191

            state "1" as 192
    192 : 1

            95 -down-> 192
            47 -down-> 95

            state "2" as 96
    96 : 1

            state "1" as 193
    193 : 1

            96 -down-> 193

            state "0" as 194
    194 : 0

            96 -down-> 194
            47 -down-> 96
            23 -down-> 47

            state "3" as 48
    48 : 2

            state "2" as 97
    97 : 1

            state "1" as 195
    195 : 1

            97 -down-> 195

            state "0" as 196
    196 : 0

            97 -down-> 196
            48 -down-> 97

            state "1" as 98
    98 : 1

            48 -down-> 98
            23 -down-> 48
            11 -down-> 23

            state "4" as 24
    24 : 3

            state "3" as 49
    49 : 2

            state "2" as 99
    99 : 1

            state "1" as 199
    199 : 1

            99 -down-> 199

            state "0" as 200
    200 : 0

            99 -down-> 200
            49 -down-> 99

            state "1" as 100
    100 : 1

            49 -down-> 100
            24 -down-> 49

            state "2" as 50
    50 : 1

            state "1" as 101
    101 : 1

            50 -down-> 101

            state "0" as 102
    102 : 0

            50 -down-> 102
            24 -down-> 50
            11 -down-> 24
            5 -down-> 11

            state "5" as 12
    12 : 5

            state "4" as 25
    25 : 3

            state "3" as 51
    51 : 2

            state "2" as 103
    103 : 1

            state "1" as 207
    207 : 1

            103 -down-> 207

            state "0" as 208
    208 : 0

            103 -down-> 208
            51 -down-> 103

            state "1" as 104
    104 : 1

            51 -down-> 104
            25 -down-> 51

            state "2" as 52
    52 : 1

            state "1" as 105
    105 : 1

            52 -down-> 105

            state "0" as 106
    106 : 0

            52 -down-> 106
            25 -down-> 52
            12 -down-> 25

            state "3" as 26
    26 : 2

            state "2" as 53
    53 : 1

            state "1" as 107
    107 : 1

            53 -down-> 107

            state "0" as 108
    108 : 0

            53 -down-> 108
            26 -down-> 53

            state "1" as 54
    54 : 1

            26 -down-> 54
            12 -down-> 26
            5 -down-> 12
            2 -down-> 5

            state "6" as 6
    6 : 8

            state "5" as 13
    13 : 5

            state "4" as 27
    27 : 3

            state "3" as 55
    55 : 2

            state "2" as 111
    111 : 1

            state "1" as 223
    223 : 1

            111 -down-> 223

            state "0" as 224
    224 : 0

            111 -down-> 224
            55 -down-> 111

            state "1" as 112
    112 : 1

            55 -down-> 112
            27 -down-> 55

            state "2" as 56
    56 : 1

            state "1" as 113
    113 : 1

            56 -down-> 113

            state "0" as 114
    114 : 0

            56 -down-> 114
            27 -down-> 56
            13 -down-> 27

            state "3" as 28
    28 : 2

            state "2" as 57
    57 : 1

            state "1" as 115
    115 : 1

            57 -down-> 115

            state "0" as 116
    116 : 0

            57 -down-> 116
            28 -down-> 57

            state "1" as 58
    58 : 1

            28 -down-> 58
            13 -down-> 28
            6 -down-> 13

            state "4" as 14
    14 : 3

            state "3" as 29
    29 : 2

            state "2" as 59
    59 : 1

            state "1" as 119
    119 : 1

            59 -down-> 119

            state "0" as 120
    120 : 0

            59 -down-> 120
            29 -down-> 59

            state "1" as 60
    60 : 1

            29 -down-> 60
            14 -down-> 29

            state "2" as 30
    30 : 1

            state "1" as 61
    61 : 1

            30 -down-> 61

            state "0" as 62
    62 : 0

            30 -down-> 62
            14 -down-> 30
            6 -down-> 14
            2 -down-> 6
            0 -down-> 2

@enduml

PlantUML version 1.2021.9(Sun Jul 25 15:43:56 IST 2021)
(GPL source distribution)
Java Runtime: Java(TM) SE Runtime Environment
JVM: Java HotSpot(TM) 64-Bit Server VM
Default Encoding: Cp1252
Language: en
Country: IN
--></g></svg>