L-Program and Godel Numbers #3
1
.gitignore
vendored
Normal file
1
.gitignore
vendored
Normal file
@ -0,0 +1 @@
|
||||
**/.DS_STORE
|
||||
488
godel/codemirror/codemirror.css
Normal file
488
godel/codemirror/codemirror.css
Normal file
@ -0,0 +1,488 @@
|
||||
/* BASICS */
|
||||
|
||||
.CodeMirror {
|
||||
/* Set height, width, borders, and global font properties here */
|
||||
font-family: monospace !important;
|
||||
height: 300px;
|
||||
color: black;
|
||||
direction: ltr;
|
||||
}
|
||||
|
||||
/* PADDING */
|
||||
|
||||
.CodeMirror-lines {
|
||||
padding: 4px 0; /* Vertical padding around content */
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||||
}
|
||||
.CodeMirror pre.CodeMirror-line,
|
||||
.CodeMirror pre.CodeMirror-line-like {
|
||||
padding: 0 4px; /* Horizontal padding of content */
|
||||
}
|
||||
|
||||
.CodeMirror-scrollbar-filler,
|
||||
.CodeMirror-gutter-filler {
|
||||
background-color: white; /* The little square between H and V scrollbars */
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||||
}
|
||||
|
||||
/* GUTTER */
|
||||
|
||||
.CodeMirror-gutters {
|
||||
border-right: 1px solid #ddd;
|
||||
background-color: #f7f7f7;
|
||||
white-space: nowrap;
|
||||
}
|
||||
.CodeMirror-linenumbers {
|
||||
}
|
||||
.CodeMirror-linenumber {
|
||||
padding: 0 3px 0 5px;
|
||||
min-width: 20px;
|
||||
text-align: right;
|
||||
color: #999;
|
||||
white-space: nowrap;
|
||||
}
|
||||
|
||||
.CodeMirror-guttermarker {
|
||||
color: black;
|
||||
}
|
||||
.CodeMirror-guttermarker-subtle {
|
||||
color: #999;
|
||||
}
|
||||
|
||||
/* CURSOR */
|
||||
|
||||
.CodeMirror-cursor {
|
||||
border-left: 1px solid black;
|
||||
border-right: none;
|
||||
width: 0;
|
||||
}
|
||||
/* Shown when moving in bi-directional text */
|
||||
.CodeMirror div.CodeMirror-secondarycursor {
|
||||
border-left: 1px solid silver;
|
||||
}
|
||||
.cm-fat-cursor .CodeMirror-cursor {
|
||||
width: auto;
|
||||
border: 0 !important;
|
||||
background: #7e7;
|
||||
}
|
||||
.cm-fat-cursor div.CodeMirror-cursors {
|
||||
z-index: 1;
|
||||
}
|
||||
.cm-fat-cursor .CodeMirror-line::selection,
|
||||
.cm-fat-cursor .CodeMirror-line > span::selection,
|
||||
.cm-fat-cursor .CodeMirror-line > span > span::selection {
|
||||
background: transparent;
|
||||
}
|
||||
.cm-fat-cursor .CodeMirror-line::-moz-selection,
|
||||
.cm-fat-cursor .CodeMirror-line > span::-moz-selection,
|
||||
.cm-fat-cursor .CodeMirror-line > span > span::-moz-selection {
|
||||
background: transparent;
|
||||
}
|
||||
.cm-fat-cursor {
|
||||
caret-color: transparent;
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||||
}
|
||||
@-moz-keyframes blink {
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||||
0% {
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||||
}
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||||
50% {
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||||
background-color: transparent;
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||||
}
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||||
100% {
|
||||
}
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||||
}
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||||
@-webkit-keyframes blink {
|
||||
0% {
|
||||
}
|
||||
50% {
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||||
background-color: transparent;
|
||||
}
|
||||
100% {
|
||||
}
|
||||
}
|
||||
@keyframes blink {
|
||||
0% {
|
||||
}
|
||||
50% {
|
||||
background-color: transparent;
|
||||
}
|
||||
100% {
|
||||
}
|
||||
}
|
||||
|
||||
/* Can style cursor different in overwrite (non-insert) mode */
|
||||
.CodeMirror-overwrite .CodeMirror-cursor {
|
||||
}
|
||||
|
||||
.cm-tab {
|
||||
display: inline-block;
|
||||
text-decoration: inherit;
|
||||
}
|
||||
|
||||
.CodeMirror-rulers {
|
||||
position: absolute;
|
||||
left: 0;
|
||||
right: 0;
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||||
top: -50px;
|
||||
bottom: 0;
|
||||
overflow: hidden;
|
||||
}
|
||||
.CodeMirror-ruler {
|
||||
border-left: 1px solid #ccc;
|
||||
top: 0;
|
||||
bottom: 0;
|
||||
position: absolute;
|
||||
}
|
||||
|
||||
/* DEFAULT THEME */
|
||||
|
||||
.cm-s-default .cm-header {
|
||||
color: blue;
|
||||
}
|
||||
.cm-s-default .cm-quote {
|
||||
color: #090;
|
||||
}
|
||||
.cm-negative {
|
||||
color: #d44;
|
||||
}
|
||||
.cm-positive {
|
||||
color: #292;
|
||||
}
|
||||
.cm-header,
|
||||
.cm-strong {
|
||||
font-weight: bold;
|
||||
}
|
||||
.cm-em {
|
||||
font-style: italic;
|
||||
}
|
||||
.cm-link {
|
||||
text-decoration: underline;
|
||||
}
|
||||
.cm-strikethrough {
|
||||
text-decoration: line-through;
|
||||
}
|
||||
|
||||
.cm-s-default .cm-keyword {
|
||||
color: #708;
|
||||
}
|
||||
.cm-s-default .cm-atom {
|
||||
color: #219;
|
||||
}
|
||||
.cm-s-default .cm-number {
|
||||
color: #164;
|
||||
}
|
||||
.cm-s-default .cm-def {
|
||||
color: #00f;
|
||||
}
|
||||
.cm-s-default .cm-variable,
|
||||
.cm-s-default .cm-punctuation,
|
||||
.cm-s-default .cm-property,
|
||||
.cm-s-default .cm-operator {
|
||||
}
|
||||
.cm-s-default .cm-variable-2 {
|
||||
color: #05a;
|
||||
}
|
||||
.cm-s-default .cm-variable-3,
|
||||
.cm-s-default .cm-type {
|
||||
color: #085;
|
||||
}
|
||||
.cm-s-default .cm-comment {
|
||||
color: #a50;
|
||||
}
|
||||
.cm-s-default .cm-string {
|
||||
color: #a11;
|
||||
}
|
||||
.cm-s-default .cm-string-2 {
|
||||
color: #f50;
|
||||
}
|
||||
.cm-s-default .cm-meta {
|
||||
color: #555;
|
||||
}
|
||||
.cm-s-default .cm-qualifier {
|
||||
color: #555;
|
||||
}
|
||||
.cm-s-default .cm-builtin {
|
||||
color: #30a;
|
||||
}
|
||||
.cm-s-default .cm-bracket {
|
||||
color: #997;
|
||||
}
|
||||
.cm-s-default .cm-tag {
|
||||
color: #170;
|
||||
}
|
||||
.cm-s-default .cm-attribute {
|
||||
color: #00c;
|
||||
}
|
||||
.cm-s-default .cm-hr {
|
||||
color: #999;
|
||||
}
|
||||
.cm-s-default .cm-link {
|
||||
color: #00c;
|
||||
}
|
||||
|
||||
.cm-s-default .cm-error {
|
||||
color: #f00;
|
||||
}
|
||||
.cm-invalidchar {
|
||||
color: #f00;
|
||||
}
|
||||
|
||||
.CodeMirror-composing {
|
||||
border-bottom: 2px solid;
|
||||
}
|
||||
|
||||
/* Default styles for common addons */
|
||||
|
||||
div.CodeMirror span.CodeMirror-matchingbracket {
|
||||
color: #0b0;
|
||||
}
|
||||
div.CodeMirror span.CodeMirror-nonmatchingbracket {
|
||||
color: #a22;
|
||||
}
|
||||
.CodeMirror-matchingtag {
|
||||
background: rgba(255, 150, 0, 0.3);
|
||||
}
|
||||
.CodeMirror-activeline-background {
|
||||
background: #e8f2ff;
|
||||
}
|
||||
|
||||
/* STOP */
|
||||
|
||||
/* The rest of this file contains styles related to the mechanics of
|
||||
the editor. You probably shouldn't touch them. */
|
||||
|
||||
.CodeMirror {
|
||||
position: relative;
|
||||
overflow: hidden;
|
||||
background: white;
|
||||
}
|
||||
|
||||
.CodeMirror-scroll {
|
||||
overflow: scroll !important; /* Things will break if this is overridden */
|
||||
/* 50px is the magic margin used to hide the element's real scrollbars */
|
||||
/* See overflow: hidden in .CodeMirror */
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||||
margin-bottom: -50px;
|
||||
margin-right: -50px;
|
||||
padding-bottom: 50px;
|
||||
height: 100%;
|
||||
outline: none; /* Prevent dragging from highlighting the element */
|
||||
position: relative;
|
||||
z-index: 0;
|
||||
}
|
||||
.CodeMirror-sizer {
|
||||
position: relative;
|
||||
border-right: 50px solid transparent;
|
||||
}
|
||||
|
||||
/* The fake, visible scrollbars. Used to force redraw during scrolling
|
||||
before actual scrolling happens, thus preventing shaking and
|
||||
flickering artifacts. */
|
||||
.CodeMirror-vscrollbar,
|
||||
.CodeMirror-hscrollbar,
|
||||
.CodeMirror-scrollbar-filler,
|
||||
.CodeMirror-gutter-filler {
|
||||
position: absolute;
|
||||
z-index: 6;
|
||||
display: none;
|
||||
outline: none;
|
||||
}
|
||||
.CodeMirror-vscrollbar {
|
||||
right: 0;
|
||||
top: 0;
|
||||
overflow-x: hidden;
|
||||
overflow-y: scroll;
|
||||
}
|
||||
.CodeMirror-hscrollbar {
|
||||
bottom: 0;
|
||||
left: 0;
|
||||
overflow-y: hidden;
|
||||
overflow-x: scroll;
|
||||
}
|
||||
.CodeMirror-scrollbar-filler {
|
||||
right: 0;
|
||||
bottom: 0;
|
||||
}
|
||||
.CodeMirror-gutter-filler {
|
||||
left: 0;
|
||||
bottom: 0;
|
||||
}
|
||||
|
||||
.CodeMirror-gutters {
|
||||
position: absolute;
|
||||
left: 0;
|
||||
top: 0;
|
||||
min-height: 100%;
|
||||
z-index: 3;
|
||||
}
|
||||
.CodeMirror-gutter {
|
||||
white-space: normal;
|
||||
height: 100%;
|
||||
display: inline-block;
|
||||
vertical-align: top;
|
||||
margin-bottom: -50px;
|
||||
}
|
||||
.CodeMirror-gutter-wrapper {
|
||||
position: absolute;
|
||||
z-index: 4;
|
||||
background: none !important;
|
||||
border: none !important;
|
||||
}
|
||||
.CodeMirror-gutter-background {
|
||||
position: absolute;
|
||||
top: 0;
|
||||
bottom: 0;
|
||||
z-index: 4;
|
||||
}
|
||||
.CodeMirror-gutter-elt {
|
||||
position: absolute;
|
||||
cursor: default;
|
||||
z-index: 4;
|
||||
}
|
||||
.CodeMirror-gutter-wrapper ::selection {
|
||||
background-color: transparent;
|
||||
}
|
||||
.CodeMirror-gutter-wrapper ::-moz-selection {
|
||||
background-color: transparent;
|
||||
}
|
||||
|
||||
.CodeMirror-lines {
|
||||
cursor: text;
|
||||
min-height: 1px; /* prevents collapsing before first draw */
|
||||
}
|
||||
.CodeMirror pre.CodeMirror-line,
|
||||
.CodeMirror pre.CodeMirror-line-like {
|
||||
/* Reset some styles that the rest of the page might have set */
|
||||
-moz-border-radius: 0;
|
||||
-webkit-border-radius: 0;
|
||||
border-radius: 0;
|
||||
border-width: 0;
|
||||
background: transparent;
|
||||
font-family: inherit;
|
||||
font-size: inherit;
|
||||
margin: 0;
|
||||
white-space: pre;
|
||||
word-wrap: normal;
|
||||
line-height: inherit;
|
||||
color: inherit;
|
||||
z-index: 2;
|
||||
position: relative;
|
||||
overflow: visible;
|
||||
-webkit-tap-highlight-color: transparent;
|
||||
-webkit-font-variant-ligatures: contextual;
|
||||
font-variant-ligatures: contextual;
|
||||
}
|
||||
.CodeMirror-wrap pre.CodeMirror-line,
|
||||
.CodeMirror-wrap pre.CodeMirror-line-like {
|
||||
word-wrap: break-word;
|
||||
white-space: pre-wrap;
|
||||
word-break: normal;
|
||||
}
|
||||
|
||||
.CodeMirror-linebackground {
|
||||
position: absolute;
|
||||
left: 0;
|
||||
right: 0;
|
||||
top: 0;
|
||||
bottom: 0;
|
||||
z-index: 0;
|
||||
}
|
||||
|
||||
.CodeMirror-linewidget {
|
||||
position: relative;
|
||||
z-index: 2;
|
||||
padding: 0.1px; /* Force widget margins to stay inside of the container */
|
||||
}
|
||||
|
||||
.CodeMirror-widget {
|
||||
}
|
||||
|
||||
.CodeMirror-rtl pre {
|
||||
direction: rtl;
|
||||
}
|
||||
|
||||
.CodeMirror-code {
|
||||
outline: none;
|
||||
}
|
||||
|
||||
/* Force content-box sizing for the elements where we expect it */
|
||||
.CodeMirror-scroll,
|
||||
.CodeMirror-sizer,
|
||||
.CodeMirror-gutter,
|
||||
.CodeMirror-gutters,
|
||||
.CodeMirror-linenumber {
|
||||
-moz-box-sizing: content-box;
|
||||
box-sizing: content-box;
|
||||
}
|
||||
|
||||
.CodeMirror-measure {
|
||||
position: absolute;
|
||||
width: 100%;
|
||||
height: 0;
|
||||
overflow: hidden;
|
||||
visibility: hidden;
|
||||
}
|
||||
|
||||
.CodeMirror-cursor {
|
||||
position: absolute;
|
||||
pointer-events: none;
|
||||
}
|
||||
.CodeMirror-measure pre {
|
||||
position: static;
|
||||
}
|
||||
|
||||
div.CodeMirror-cursors {
|
||||
visibility: hidden;
|
||||
position: relative;
|
||||
z-index: 3;
|
||||
}
|
||||
div.CodeMirror-dragcursors {
|
||||
visibility: visible;
|
||||
}
|
||||
|
||||
.CodeMirror-focused div.CodeMirror-cursors {
|
||||
visibility: visible;
|
||||
}
|
||||
|
||||
.CodeMirror-selected {
|
||||
background: #d9d9d9;
|
||||
}
|
||||
.CodeMirror-focused .CodeMirror-selected {
|
||||
background: #d7d4f0;
|
||||
}
|
||||
.CodeMirror-crosshair {
|
||||
cursor: crosshair;
|
||||
}
|
||||
.CodeMirror-line::selection,
|
||||
.CodeMirror-line > span::selection,
|
||||
.CodeMirror-line > span > span::selection {
|
||||
background: #d7d4f0;
|
||||
}
|
||||
.CodeMirror-line::-moz-selection,
|
||||
.CodeMirror-line > span::-moz-selection,
|
||||
.CodeMirror-line > span > span::-moz-selection {
|
||||
background: #d7d4f0;
|
||||
}
|
||||
|
||||
.cm-searching {
|
||||
background-color: #ffa;
|
||||
background-color: rgba(255, 255, 0, 0.4);
|
||||
}
|
||||
|
||||
/* Used to force a border model for a node */
|
||||
.cm-force-border {
|
||||
padding-right: 0.1px;
|
||||
}
|
||||
|
||||
@media print {
|
||||
/* Hide the cursor when printing */
|
||||
.CodeMirror div.CodeMirror-cursors {
|
||||
visibility: hidden;
|
||||
}
|
||||
}
|
||||
|
||||
/* See issue #2901 */
|
||||
.cm-tab-wrap-hack:after {
|
||||
content: "";
|
||||
}
|
||||
|
||||
/* Help users use markselection to safely style text background */
|
||||
span.CodeMirror-selectedtext {
|
||||
background: none;
|
||||
}
|
||||
9874
godel/codemirror/codemirror.js
Normal file
9874
godel/codemirror/codemirror.js
Normal file
File diff suppressed because it is too large
Load Diff
82
godel/css/styles.css
Normal file
82
godel/css/styles.css
Normal file
@ -0,0 +1,82 @@
|
||||
* {
|
||||
margin: 0;
|
||||
}
|
||||
|
||||
button {
|
||||
background: #bbbbbb;
|
||||
border: 1px solid white;
|
||||
border-radius: 0.2rem;
|
||||
padding: 0.3rem;
|
||||
display: inline-block;
|
||||
cursor: pointer;
|
||||
}
|
||||
|
||||
button:hover {
|
||||
background: #cccccc;
|
||||
}
|
||||
|
||||
body {
|
||||
font-family: "Trebuchet MS", sans-serif;
|
||||
background-color: #aaaaaa;
|
||||
}
|
||||
|
||||
.container {
|
||||
display: flex;
|
||||
width: 90%;
|
||||
margin-left: auto;
|
||||
margin-right: auto;
|
||||
flex-direction: column;
|
||||
gap: 1rem;
|
||||
|
||||
padding: 2rem;
|
||||
}
|
||||
|
||||
.textarea-container {
|
||||
display: flex;
|
||||
flex-direction: column;
|
||||
gap: 1rem;
|
||||
box-shadow: 5px 5px 5px #666666;
|
||||
border: 2px solid white;
|
||||
border-radius: 0.25rem;
|
||||
padding: 1rem;
|
||||
flex: 1;
|
||||
}
|
||||
|
||||
.source-container {
|
||||
display: flex;
|
||||
flex-direction: row;
|
||||
gap: 1rem;
|
||||
height: 100%;
|
||||
}
|
||||
|
||||
textarea {
|
||||
border-radius: 0.25rem;
|
||||
}
|
||||
|
||||
.CodeMirror {
|
||||
height: 50vh;
|
||||
}
|
||||
|
||||
.error {
|
||||
color: red;
|
||||
}
|
||||
|
||||
.success {
|
||||
color: green;
|
||||
}
|
||||
|
||||
hr {
|
||||
border-top: 2px solid black;
|
||||
border-bottom: none;
|
||||
}
|
||||
|
||||
pre {
|
||||
white-space: pre-wrap;
|
||||
word-wrap: break-word;
|
||||
}
|
||||
|
||||
@media only screen and (max-width: 1000px) {
|
||||
.source-container {
|
||||
flex-direction: column;
|
||||
}
|
||||
}
|
||||
77
godel/grammar.peg
Normal file
77
godel/grammar.peg
Normal file
@ -0,0 +1,77 @@
|
||||
Program = lines: (ProgramInstruction / (_/[\n]))* {
|
||||
return { instructions: lines.filter((line) => typeof line !== "string" || line.trim() != "") };
|
||||
}
|
||||
|
||||
ProgramInstruction = _? instruction: (LabeledInstruction / Instruction) _? [\n]? {
|
||||
let x = 0;
|
||||
let y = 0;
|
||||
if (instruction.label) {
|
||||
x = instruction.label.godel;
|
||||
y = instruction.instruction.godel;
|
||||
} else {
|
||||
y = instruction.godel;
|
||||
}
|
||||
return { instruction, godel: ((2 ** x) * ((2 * y) + 1) - 1) };
|
||||
}
|
||||
|
||||
LabeledInstruction = label:Label _ instruction:Instruction {
|
||||
return { label, instruction };
|
||||
}
|
||||
|
||||
Label = "[" _? label:LABEL_V _? "]" {
|
||||
return label;
|
||||
}
|
||||
|
||||
Instruction = conditional: Conditional { return { conditional, godel: conditional.godel }; }
|
||||
/ assignment: Assignment { return { assignment, godel: assignment.godel }; }
|
||||
/ goto: Goto { return { goto, godel: goto.godel }; }
|
||||
|
||||
Goto = GOTO _ label: LABEL_V {
|
||||
return { label, godel: label.godel + 2 };
|
||||
}
|
||||
|
||||
Conditional = "IF" _ variable: VAR _? "!=" _? "0" _ goto: Goto {
|
||||
const y = variable.godel - 1;
|
||||
const x = goto.godel;
|
||||
return { variable, goto, godel: ((2 ** x) * ((2 * y) + 1) - 1) };
|
||||
}
|
||||
|
||||
Assignment = variable: VAR _ "<-" _ expr: Expression {
|
||||
if (expr.left.symbol != variable.symbol) {
|
||||
error("left hand variable must match right hand");
|
||||
}
|
||||
const x = expr.instructionNumber;
|
||||
const y = variable.godel - 1;
|
||||
return { variable, expr, godel: ((2 ** x) * ((2 * y) + 1) - 1) };
|
||||
}
|
||||
|
||||
Expression = left: VAR _ opr: OPERATION _ "1" {
|
||||
const instructionNumber = { "+" : 1, "-" : 2 }[opr];
|
||||
return { left, opr, instructionNumber };
|
||||
} / left: VAR {
|
||||
return { left, instructionNumber: 0 };
|
||||
}
|
||||
|
||||
VAR = symbol:"Y" { return { symbol, godel: 1 }; } / symbol:("X" / "Z") ind:Integer+ {
|
||||
const index = parseInt(ind);
|
||||
const order = ["X", "Z"];
|
||||
const godel = index * order.length + order.indexOf(symbol);
|
||||
return { symbol: symbol + ind, godel };
|
||||
}
|
||||
|
||||
GOTO = "GOTO"
|
||||
|
||||
OPERATION = "+" / "-"
|
||||
|
||||
LABEL_V = symbol:END_LABEL { return symbol } / symbol:[A-E] ind:Integer+ {
|
||||
const index = parseInt(ind);
|
||||
const godel = (symbol.charCodeAt(0) - "A".charCodeAt(0) + 1) + 5*(index-1);
|
||||
return { symbol: symbol + ind, godel };
|
||||
}
|
||||
|
||||
END_LABEL = "E1"
|
||||
|
||||
Integer "integer"
|
||||
= [0-9]+ { return parseInt(text(), 10); }
|
||||
|
||||
_ "whitespace" = [ \t]+ { }
|
||||
96
godel/index.html
Normal file
96
godel/index.html
Normal file
@ -0,0 +1,96 @@
|
||||
<!DOCTYPE html>
|
||||
<html>
|
||||
<head>
|
||||
<title>Liz's L-Program Compiler</title>
|
||||
<link rel="stylesheet" type="text/css" href=
|
||||
"codemirror/codemirror.css">
|
||||
<link rel="stylesheet" type="text/css" href="css/styles.css">
|
||||
</head>
|
||||
<body>
|
||||
<div class="container">
|
||||
<h1>Liz's L-Program Compiler</h1>
|
||||
<p><i>Developed for Kulyukin's CS5000</i></p>
|
||||
<hr>
|
||||
<div class="source-container">
|
||||
<div class="textarea-container">
|
||||
<h3>L Source</h3>
|
||||
<textarea id=
|
||||
"instructions">// 0. primitive instructions only
|
||||
// 1. labels match the regex [A-E](:digit:)+.
|
||||
// 2. variables are initialized to zero and match
|
||||
// (Y | (X|Z)(:digit:)+).
|
||||
// 3. instructions must be delimited by a newline.
|
||||
// 4. anything following the comment token "//" up to a
|
||||
// newline are ignored.
|
||||
// 5. by default, a computation that takes more than 500_000
|
||||
// "procedures", it will be halted.
|
||||
// 6. the implicit exit label "E1" exists; thus to exit
|
||||
// prematurely, "GOTO E1".
|
||||
// 7. input your initial snapshot in the "variables" map
|
||||
// on the Program in the compiled JS output
|
||||
// 8. for a more detailed view on the grammar, it's at
|
||||
// /godel/grammar.peg
|
||||
|
||||
// THIS PROGRAM COMPUTES X1 + X2
|
||||
|
||||
// Y <- X1
|
||||
[ A1 ] IF X1 != 0 GOTO A2
|
||||
GOTO B1
|
||||
[ A2 ] X1 <- X1 - 1
|
||||
Y <- Y + 1
|
||||
GOTO A1
|
||||
|
||||
// Z1 <- X2
|
||||
[ B1 ] IF X2 != 0 GOTO B2
|
||||
GOTO C1
|
||||
[ B2 ] X2 <- X2 - 1
|
||||
Z1 <- Z1 + 1
|
||||
GOTO B1
|
||||
|
||||
// Y <- Y + Z1
|
||||
[ C1 ] IF Z1 != 0 GOTO C2
|
||||
GOTO E1
|
||||
[ C2 ] Z1 <- Z1 - 1
|
||||
Y <- Y + 1
|
||||
GOTO C1</textarea>
|
||||
<div>
|
||||
<button id="compile">Compile</button> <button id=
|
||||
"copy">Copy</button>
|
||||
</div>
|
||||
<div>
|
||||
<span style="margin-left: 0.5rem" id=
|
||||
"compile_status"></span>
|
||||
</div>
|
||||
</div>
|
||||
<div class="textarea-container">
|
||||
<h3>Compiled JS</h3>
|
||||
<textarea id="compiled"></textarea>
|
||||
<div>
|
||||
<button id="eval">Eval</button>
|
||||
</div>
|
||||
<div>
|
||||
<span style="margin-left: 0.5rem" id=
|
||||
"eval_status"></span>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div class="textarea-container">
|
||||
<h3>Godel</h3>
|
||||
<p>Sequence:</p>
|
||||
<pre id="godel_sequence"></pre>
|
||||
<div>
|
||||
<p>Number: <button id="godel_number_comp" style=
|
||||
"display: none">Compute (this might take a
|
||||
while)</button></p>
|
||||
</div>
|
||||
<pre id="godel_number"></pre>
|
||||
</div>
|
||||
</div>
|
||||
<script src="codemirror/codemirror.js"></script>
|
||||
<script src="js-beautify/js-beautify.js"></script>
|
||||
<script src="js/observable.js"></script>
|
||||
<script src="js/parser.js"></script>
|
||||
<script src="js/compiler.js"></script>
|
||||
<script src="js/main.js"></script>
|
||||
</body>
|
||||
</html>
|
||||
1
godel/js-beautify/js-beautify.js
Normal file
1
godel/js-beautify/js-beautify.js
Normal file
File diff suppressed because one or more lines are too long
182
godel/js/compiler.js
Normal file
182
godel/js/compiler.js
Normal file
@ -0,0 +1,182 @@
|
||||
class StringBuilder {
|
||||
constructor() {
|
||||
this.stringPieces = [];
|
||||
}
|
||||
add(s) {
|
||||
this.stringPieces.push(s);
|
||||
}
|
||||
build() {
|
||||
return this.stringPieces.join("");
|
||||
}
|
||||
}
|
||||
|
||||
const compileGoto = (gotoNode, stringBuilder) => {
|
||||
stringBuilder.add(`this.followGoto("${gotoNode.label.symbol}");\nreturn;\n`);
|
||||
};
|
||||
|
||||
const compileConditional = (conditionalNode, stringBuilder) => {
|
||||
const {
|
||||
variable: { symbol: variable },
|
||||
goto: gotoNode,
|
||||
} = conditionalNode;
|
||||
|
||||
stringBuilder.add(`if (this.get("${variable}") != 0) {\n`);
|
||||
compileGoto(gotoNode, stringBuilder);
|
||||
stringBuilder.add(`}\n`);
|
||||
};
|
||||
|
||||
const compileAssignment = (assignmentNode, stringBuilder) => {
|
||||
const {
|
||||
variable: { symbol: variable },
|
||||
expr,
|
||||
} = assignmentNode;
|
||||
if (expr.opr) {
|
||||
if (expr.opr == "+") stringBuilder.add(`this.addOne("${variable}");\n`);
|
||||
else if (expr.opr == "-")
|
||||
stringBuilder.add(`this.subtractOne("${variable}");\n`);
|
||||
} else {
|
||||
stringBuilder.add("// noop \n");
|
||||
}
|
||||
};
|
||||
|
||||
const compileInstruction = (instruction, stringBuilder) => {
|
||||
if (instruction.goto) {
|
||||
compileGoto(instruction.goto, stringBuilder);
|
||||
return; // ignore unreachable addition to instructionPointer
|
||||
}
|
||||
|
||||
if (instruction.conditional) {
|
||||
compileConditional(instruction.conditional, stringBuilder);
|
||||
} else if (instruction.assignment) {
|
||||
compileAssignment(instruction.assignment, stringBuilder);
|
||||
}
|
||||
|
||||
stringBuilder.add("this.instructionPointer++;\n");
|
||||
};
|
||||
|
||||
const compile = (ast) => {
|
||||
const godelSequence = [];
|
||||
|
||||
const stringBuilder = new StringBuilder();
|
||||
stringBuilder.add(`
|
||||
class Program {
|
||||
constructor() {
|
||||
this.variables = new Map(); // variable -> natural number val
|
||||
this.labelInstructions = new Map(); // labels to instruction indices
|
||||
this.instructions = new Map(); // instruction indices to procedures
|
||||
|
||||
this.instructions.set(0, () => this.main());
|
||||
this.instructionPointer = 0;
|
||||
this.variables.set("Y", 0);
|
||||
|
||||
// -- program-specific state init --
|
||||
this.finalInstruction = ${
|
||||
ast.instructions.length + 1
|
||||
}; // instruction of the implied "exit" label
|
||||
// "E1" is the exit label
|
||||
this.labelInstructions.set("E1", this.finalInstruction);
|
||||
}
|
||||
|
||||
get(variable) {
|
||||
if (!this.variables.has(variable)) {
|
||||
this.variables.set(variable, 0);
|
||||
}
|
||||
return this.variables.get(variable);
|
||||
}
|
||||
|
||||
addOne(variable) {
|
||||
const val = this.get(variable);
|
||||
this.variables.set(variable, val + 1);
|
||||
}
|
||||
|
||||
subtractOne(variable) {
|
||||
const val = this.get(variable);
|
||||
this.variables.set(variable, val - 1);
|
||||
}
|
||||
|
||||
followGoto(label) {
|
||||
this.instructionPointer = this.labelInstructions.get(label);
|
||||
}
|
||||
|
||||
step() {
|
||||
if (!this.isCompleted()) {
|
||||
const procedure = this.instructions.get(this.instructionPointer);
|
||||
procedure();
|
||||
|
||||
}
|
||||
return this.instructionPointer;
|
||||
}
|
||||
|
||||
isCompleted() {
|
||||
return this.instructionPointer == this.finalInstruction;
|
||||
}
|
||||
|
||||
getResult() {
|
||||
return this.variables.get("Y");
|
||||
}
|
||||
|
||||
run(maxIter=500_000) {
|
||||
let iter = 0;
|
||||
while (!this.isCompleted() && (++iter) < maxIter) this.step();
|
||||
if (iter < maxIter) {
|
||||
return this.getResult();
|
||||
}
|
||||
throw new Error("Too many iterations. To resolve, please ask"
|
||||
+ " Turing how we can find if a program will halt during compilation.");
|
||||
}
|
||||
|
||||
main() {
|
||||
`);
|
||||
|
||||
stringBuilder.add("// -- build label -> instruction map --\n");
|
||||
for (let i = 0; i < ast.instructions.length; i++) {
|
||||
const instruction = ast.instructions[i];
|
||||
godelSequence.push(instruction.godel);
|
||||
|
||||
const line = instruction.instruction;
|
||||
const instructionIdx = i + 1;
|
||||
if (line.label) {
|
||||
const symbol = line.label.symbol;
|
||||
stringBuilder.add(
|
||||
`this.instructions.set(${instructionIdx}, () => this.${symbol}());\n`
|
||||
);
|
||||
stringBuilder.add(
|
||||
`this.labelInstructions.set("${symbol}", ${instructionIdx});\n`
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
stringBuilder.add("// -- compiled instructions --\n");
|
||||
for (let i = 0; i < ast.instructions.length; i++) {
|
||||
let instruction = ast.instructions[i].instruction;
|
||||
const instructionIdx = i + 1;
|
||||
if (instruction.label) {
|
||||
const symbol = instruction.label.symbol;
|
||||
|
||||
stringBuilder.add(
|
||||
` this.followGoto("${symbol}");\n}\n\n${symbol}() {\n`
|
||||
);
|
||||
stringBuilder.add(`this.instructionPointer = ${instructionIdx};\n`);
|
||||
instruction = instruction.instruction;
|
||||
}
|
||||
|
||||
compileInstruction(instruction, stringBuilder);
|
||||
}
|
||||
|
||||
stringBuilder.add(` }\n}\n`);
|
||||
stringBuilder.add("// -- \n");
|
||||
stringBuilder.add("const program = new Program();\n\n");
|
||||
stringBuilder.add("// !! set the initial Snapshot here !!\n");
|
||||
stringBuilder.add('// program.variables.set("X1", 2);\n\n');
|
||||
stringBuilder.add("program.run();\n");
|
||||
stringBuilder.add("console.log(program.variables);\n");
|
||||
stringBuilder.add("program.getResult();\n");
|
||||
|
||||
return {
|
||||
js: js_beautify(stringBuilder.build(), {
|
||||
indent_size: 2,
|
||||
wrap_line_length: 100,
|
||||
}),
|
||||
godelSequence,
|
||||
};
|
||||
};
|
||||
27
godel/js/godelWorker.js
Normal file
27
godel/js/godelWorker.js
Normal file
@ -0,0 +1,27 @@
|
||||
const isPrime = (n) =>
|
||||
!Array(Math.ceil(Math.sqrt(n)))
|
||||
.fill(0)
|
||||
.map((_, i) => i + 2) // first prime is 2
|
||||
.some((i) => n !== i && n % i === 0);
|
||||
|
||||
const primesCache = [2];
|
||||
const p = (i) => {
|
||||
if (primesCache.length <= i) {
|
||||
let x = primesCache.at(-1);
|
||||
while (primesCache.length <= i) {
|
||||
if (isPrime(++x)) primesCache.push(x);
|
||||
}
|
||||
}
|
||||
return primesCache.at(i - 1);
|
||||
};
|
||||
|
||||
const computeGodelNumber = (godelSequence) =>
|
||||
godelSequence.reduce((acc, num, i) => {
|
||||
const prime = p(i + 1);
|
||||
return BigInt(acc) * BigInt(prime) ** BigInt(num);
|
||||
}, 1) - BigInt(1);
|
||||
|
||||
self.addEventListener("message", (e) => {
|
||||
const godelNumber = computeGodelNumber(e.data);
|
||||
postMessage(godelNumber);
|
||||
});
|
||||
175
godel/js/main.js
Normal file
175
godel/js/main.js
Normal file
@ -0,0 +1,175 @@
|
||||
const MESSAGES = {
|
||||
COMPILE: "COMPILE",
|
||||
COMPILE_RESULT: "COMPILE_RESULT",
|
||||
EVAL: "EVAL",
|
||||
EVAL_STATUS: "EVAL_RESULT",
|
||||
};
|
||||
|
||||
// -- the "real" code --
|
||||
|
||||
const state = new Observable();
|
||||
|
||||
const prepareSource = (text) => text.replaceAll(/\/\/.*/g, "").trim();
|
||||
|
||||
const main = () => {
|
||||
let program;
|
||||
|
||||
state.subscribe((msg) => {
|
||||
if (msg.type == MESSAGES.COMPILE) {
|
||||
const { value } = msg;
|
||||
const source = prepareSource(value);
|
||||
|
||||
try {
|
||||
const ast = parser.parse(source);
|
||||
const { js, godelSequence } = compile(ast);
|
||||
|
||||
state.notify({
|
||||
type: MESSAGES.COMPILE_RESULT,
|
||||
success: true,
|
||||
js,
|
||||
godelSequence,
|
||||
});
|
||||
} catch (e) {
|
||||
console.error(e);
|
||||
state.notify({
|
||||
type: MESSAGES.COMPILE_RESULT,
|
||||
error: e.toString(),
|
||||
});
|
||||
}
|
||||
}
|
||||
if (msg.type == MESSAGES.EVAL) {
|
||||
const source = compiledEditorEl.getValue();
|
||||
try {
|
||||
const result = eval(source);
|
||||
state.notify({
|
||||
type: MESSAGES.EVAL_RESULT,
|
||||
success: true,
|
||||
value: result,
|
||||
});
|
||||
} catch (e) {
|
||||
state.notify({
|
||||
type: MESSAGES.EVAL_RESULT,
|
||||
error: e.toString(),
|
||||
});
|
||||
}
|
||||
}
|
||||
});
|
||||
};
|
||||
main();
|
||||
|
||||
// -- a bit of some hacky ui code --
|
||||
|
||||
const codeMirrorConfig = {
|
||||
lineNumbers: true,
|
||||
};
|
||||
const instructionsEl = document.getElementById("instructions");
|
||||
const instructionsEditorEl = CodeMirror.fromTextArea(
|
||||
instructionsEl,
|
||||
codeMirrorConfig
|
||||
);
|
||||
|
||||
const compileButton = document.getElementById("compile");
|
||||
const evalButton = document.getElementById("eval");
|
||||
const evalStatusEl = document.getElementById("eval_status");
|
||||
const compileStatusEl = document.getElementById("compile_status");
|
||||
const compiledEl = document.getElementById("compiled");
|
||||
const compiledEditorEl = CodeMirror.fromTextArea(compiledEl, codeMirrorConfig);
|
||||
const godelSequenceEl = document.getElementById("godel_sequence");
|
||||
const godelNumberEl = document.getElementById("godel_number");
|
||||
const godelNumberComputeBtn = document.getElementById("godel_number_comp");
|
||||
const copyStateButton = document.getElementById("copy");
|
||||
|
||||
// hackily copy the program state and put it in the clipboard
|
||||
copyStateButton.addEventListener("click", () => {
|
||||
const instructions = btoa(instructionsEditorEl.getValue());
|
||||
|
||||
navigator.clipboard
|
||||
.writeText(
|
||||
window.location.href.split("?")[0] + `?instructions=${instructions}`
|
||||
)
|
||||
.then(() => alert("copied to clipboard"));
|
||||
});
|
||||
|
||||
state.subscribe((msg) => {
|
||||
if (msg.type == MESSAGES.COMPILE_RESULT) {
|
||||
evalStatusEl.classList.remove("error");
|
||||
evalStatusEl.classList.remove("success");
|
||||
evalStatusEl.innerHTML = "";
|
||||
|
||||
if (msg.success) {
|
||||
const { js, godelSequence } = msg;
|
||||
compiledEditorEl.setValue(js);
|
||||
|
||||
godelSequenceEl.innerHTML = `[${godelSequence.join(", ")}]`;
|
||||
godelNumberComputeBtn.style.display = "inline";
|
||||
|
||||
compileStatusEl.classList.add("success");
|
||||
compileStatusEl.classList.remove("error");
|
||||
compileStatusEl.innerHTML = `Successful compile at ${new Date().toLocaleString()}!`;
|
||||
} else if (msg.error) {
|
||||
compiledEditorEl.setValue("");
|
||||
godelSequenceEl.innerHTML = "";
|
||||
godelNumberEl.innerHTML = "";
|
||||
godelNumberComputeBtn.style.display = "none";
|
||||
|
||||
compileStatusEl.classList.remove("success");
|
||||
compileStatusEl.classList.add("error");
|
||||
compileStatusEl.innerHTML = msg.error;
|
||||
}
|
||||
}
|
||||
});
|
||||
|
||||
state.subscribe((msg) => {
|
||||
if (msg.type == MESSAGES.COMPILE_RESULT) {
|
||||
if (msg.success) {
|
||||
const { godelSequence } = msg;
|
||||
|
||||
godelNumberComputeBtn.onclick = () => {
|
||||
godelNumberEl.innerHTML = "working...";
|
||||
|
||||
const worker = new Worker("js/godelWorker.js");
|
||||
|
||||
worker.addEventListener("message", (e) => {
|
||||
const godelNumber = e.data;
|
||||
godelNumberEl.innerHTML = godelNumber.toString();
|
||||
});
|
||||
|
||||
worker.postMessage(godelSequence);
|
||||
};
|
||||
} else if (msg.error) {
|
||||
godelNumberComputeBtn.onclick = () => {};
|
||||
}
|
||||
}
|
||||
});
|
||||
|
||||
state.subscribe((msg) => {
|
||||
if (msg.type == MESSAGES.EVAL_RESULT) {
|
||||
if (msg.success) {
|
||||
evalStatusEl.classList.add("success");
|
||||
evalStatusEl.classList.remove("error");
|
||||
evalStatusEl.innerHTML = `Result: ${msg.value}`;
|
||||
} else if (msg.error) {
|
||||
evalStatusEl.classList.remove("success");
|
||||
evalStatusEl.classList.add("error");
|
||||
evalStatusEl.innerHTML = msg.error;
|
||||
}
|
||||
}
|
||||
});
|
||||
|
||||
const urlParams = new URLSearchParams(window.location.search);
|
||||
if (urlParams.get("instructions")) {
|
||||
instructionsEditorEl.setValue(atob(urlParams.get("instructions")));
|
||||
}
|
||||
|
||||
compileButton.addEventListener("click", () => {
|
||||
state.notify({
|
||||
type: MESSAGES.COMPILE,
|
||||
value: instructionsEditorEl.getValue(),
|
||||
});
|
||||
});
|
||||
|
||||
evalButton.addEventListener("click", () => {
|
||||
state.notify({
|
||||
type: MESSAGES.EVAL,
|
||||
});
|
||||
});
|
||||
14
godel/js/observable.js
Normal file
14
godel/js/observable.js
Normal file
@ -0,0 +1,14 @@
|
||||
class Observable {
|
||||
constructor() {
|
||||
this.observers = [];
|
||||
}
|
||||
subscribe(f) {
|
||||
this.observers.push(f);
|
||||
}
|
||||
unsubscribe(f) {
|
||||
this.observers = this.observers.filter((subscriber) => subscriber !== f);
|
||||
}
|
||||
notify(data) {
|
||||
this.observers.forEach((observer) => observer(data));
|
||||
}
|
||||
}
|
||||
1056
godel/js/parser.js
Normal file
1056
godel/js/parser.js
Normal file
File diff suppressed because it is too large
Load Diff
72
godel/js/turing_machine.js
Normal file
72
godel/js/turing_machine.js
Normal file
@ -0,0 +1,72 @@
|
||||
class TuringMachine {
|
||||
constructor(tape = [], rules = [], initialState = "q0", acceptState = "f") {
|
||||
this.tape = tape;
|
||||
this.rules = this.parseRules(rules);
|
||||
this.state = initialState;
|
||||
this.head = 0;
|
||||
this.acceptState = acceptState;
|
||||
|
||||
this.iteration = 0;
|
||||
}
|
||||
|
||||
getStateStatus() {
|
||||
return `State: ${this.state}, Step: ${this.iteration}`;
|
||||
}
|
||||
|
||||
getHead() {
|
||||
return this.head;
|
||||
}
|
||||
|
||||
getState() {
|
||||
return this.state;
|
||||
}
|
||||
|
||||
getTapeAtCell(idx) {
|
||||
return this.tape[idx];
|
||||
}
|
||||
|
||||
setTapeAtCell(idx, val) {
|
||||
this.tape[idx] = val;
|
||||
}
|
||||
|
||||
isAccepting() {
|
||||
return this.state == this.acceptState;
|
||||
}
|
||||
|
||||
parseRules(rules) {
|
||||
const parsedRules = {};
|
||||
for (const [currentState, readSymbol, action, newState] of rules) {
|
||||
const key = `${currentState},${readSymbol}`;
|
||||
const value = `${newState},${action}`;
|
||||
parsedRules[key] = value;
|
||||
}
|
||||
return parsedRules;
|
||||
}
|
||||
|
||||
step() {
|
||||
const currentSymbol = this.tape[this.head];
|
||||
const key = `${this.state},${currentSymbol}`;
|
||||
if (!(key in this.rules)) {
|
||||
return false;
|
||||
}
|
||||
const rule = this.rules[key];
|
||||
const [newState, action] = rule.split(",");
|
||||
|
||||
this.state = newState;
|
||||
this.iteration++;
|
||||
|
||||
if (action === "R") {
|
||||
this.head += 1;
|
||||
} else if (action === "L") {
|
||||
this.head -= 1;
|
||||
} else {
|
||||
this.tape[this.head] = action;
|
||||
}
|
||||
|
||||
if (this.isAccepting()) {
|
||||
return false;
|
||||
}
|
||||
|
||||
return this.head >= 0 && this.head < this.tape.length;
|
||||
}
|
||||
}
|
||||
11
index.html
11
index.html
@ -44,6 +44,17 @@
|
||||
</div>
|
||||
</a>
|
||||
|
||||
<a class="project" href="/godel/">
|
||||
<div class="project-logo-container">
|
||||
<i class="fa-solid fa-microchip"></i>
|
||||
</div>
|
||||
|
||||
<div class="project-body">
|
||||
<h1>Godel Explorer</h1>
|
||||
<p>Compile L-Programs into JavaScript and Godel numbers.</p>
|
||||
</div>
|
||||
</a>
|
||||
|
||||
<a class="project" href="/turing-machine/">
|
||||
<div class="project-logo-container">
|
||||
<i class="fa-solid fa-tape"></i>
|
||||
|
||||
Loading…
Reference in New Issue
Block a user