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| 1 | + | Let's write a program that computers the fibonacci sequence. First we must define the base cases of the function. for the sake of simplicity, n <= 0 returns zero. | |
| 2 | + | ||
| 3 | + | The base case for n <= 0: | |
| 4 | + | if n <= 0 then | |
| 5 | + | return 0 | |
| 6 | + | end | |
| 7 | + | ||
| 8 | + | The base case for 1: | |
| 9 | + | if n == 1 then | |
| 10 | + | return 1 | |
| 11 | + | end | |
| 12 | + | ||
| 13 | + | Now for a recursive case. For this implementation, we will stick with the original formula rather than optimizing it. | |
| 14 | + | ||
| 15 | + | The recursive case for the fibonacci sequence: | |
| 16 | + | return fib(n - 1) + fib(n - 2) | |
| 17 | + | ||
| 18 | + | Finally, lets assemble this into a Lua function. | |
| 19 | + | ||
| 20 | + | The fibonacci function: | |
| 21 | + | local function fib(n) | |
| 22 | + | @ The base case for n <= 0 | |
| 23 | + | @ The base case for 1 | |
| 24 | + | @ The recursive case for the fibonacci sequence | |
| 25 | + | end | |
| 26 | + | ||
| 27 | + | our program: | |
| 28 | + | @ The fibonacci function | |
| 29 | + | print(fib(10)) | |
| 30 | + | ||
| 31 | + | do: | |
| 32 | + | compile | |
| 33 | + | ||
| 34 | + | source: | |
| 35 | + | @ our program | |
| 36 | + | ||
| 37 | + | --- | |
| 38 | + | do: | |
| 39 | + | %action | |
| 40 | + | --- | |
| 41 | + | %action | |
| 42 | + | ||
| 43 | + | --- | |
| 44 | + | dereference | |
| 45 | + | from: | |
| 46 | + | %reference | |
| 47 | + | %reference: | |
| 48 | + | %code | |
| 49 | + | --- | |
| 50 | + | dereference | |
| 51 | + | from: | |
| 52 | + | %reference | |
| 53 | + | spent: | |
| 54 | + | %code | |
| 55 | + | compiled code: | |
| 56 | + | %code | |
| 57 | + | ||
| 58 | + | --- | |
| 59 | + | dereference | |
| 60 | + | from: | |
| 61 | + | %reference | |
| 62 | + | --- | |
| 63 | + | restore dereference | |
| 64 | + | from: | |
| 65 | + | %reference | |
| 66 | + | ||
| 67 | + | --- | |
| 68 | + | restore dereference | |
| 69 | + | from: | |
| 70 | + | %reference | |
| 71 | + | spent: | |
| 72 | + | %code | |
| 73 | + | --- | |
| 74 | + | restore dereference | |
| 75 | + | from: | |
| 76 | + | %reference | |
| 77 | + | %reference: | |
| 78 | + | %code | |
| 79 | + | ||
| 80 | + | --- | |
| 81 | + | restore dereference | |
| 82 | + | from: | |
| 83 | + | %reference | |
| 84 | + | --- | |
| 85 | + | compile | |
| 86 | + | ||
| 87 | + | ||
| 88 | + | --- | |
| 89 | + | compile | |
| 90 | + | source: | |
| 91 | + | @ %reference | |
| 92 | + | --- | |
| 93 | + | dereference | |
| 94 | + | from: | |
| 95 | + | %reference | |
| 96 | + | needs another pass: | |
| 97 | + | yes | |
| 98 | + | ||
| 99 | + | --- | |
| 100 | + | compile | |
| 101 | + | source: | |
| 102 | + | %code | |
| 103 | + | --- | |
| 104 | + | compile | |
| 105 | + | compiled code: | |
| 106 | + | %code | |
| 107 | + | ||
| 108 | + | --- | |
| 109 | + | compile | |
| 110 | + | needs another pass: | |
| 111 | + | yes | |
| 112 | + | --- | |
| 113 | + | next pass | |
| 114 | + | ||
| 115 | + | --- | |
| 116 | + | compile | |
| 117 | + | --- | |
| 118 | + | compilation finished | |
| 119 | + | ||
| 120 | + | --- | |
| 121 | + | next pass | |
| 122 | + | compiled code: | |
| 123 | + | %code | |
| 124 | + | --- | |
| 125 | + | next pass | |
| 126 | + | source: | |
| 127 | + | %code | |
| 128 | + | ||
| 129 | + | --- | |
| 130 | + | next pass | |
| 131 | + | --- | |
| 132 | + | compile | |
| 133 | + | ||
| 134 | + | --- | |
| 135 | + | compilation finished | |
| 136 | + | compiled code: | |
| 137 | + | %code | |
| 138 | + | --- | |
| 139 | + | compilation finished | |
| 140 | + | out: | |
| 141 | + | %code | |
| 142 | + | ||
| 143 | + | --- | |
| 144 | + | compilation finished | |
| 145 | + | --- | |
| 146 | + | print code | |
| 147 | + | ||
| 148 | + | --- | |
| 149 | + | print code | |
| 150 | + | out: | |
| 151 | + | %tuple | |
| 152 | + | --- | |
| 153 | + | print code | |
| 154 | + | @print: | |
| 155 | + | %tuple | |
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