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jsj.html
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<html>
<head>
<script src="jquery-1.3.1.js" type="text/javascript"></script>
<script src="bignumber.js" type="text/javascript"></script>
</head>
<body>
<script type="text/javascript">
function Token() {
this.value = null;
return this;
}
Token.prototype.toString = function() { return this.value; }
Token.prototype.isMark = function() { return false; }
Token.prototype.isAssignment = function() { return false; }
Token.prototype.isNoun = function() { return false; }
Token.prototype.isAdverb = function() { return false; }
Token.prototype.isVerb = function() { return false; }
Token.prototype.isConjunction = function() { return false; }
Token.prototype.isName = function() { return false; }
Token.prototype.isLeftParen = function() { return false; }
Token.prototype.isRightParen = function() { return false; }
Token.prototype.isList = function() { return false; }
Token.prototype.isNumber = function() { return false; }
Token.prototype.isEdge = function() { return this.isMark() || this.isAssignment() || this.isLeftParen(); }
Token.prototype.isEavn = function() { return this.isEdge() || this.isAdverb() || this.isVerb() || this.isNoun(); }
Token.prototype.isVn = function() { return this.isVerb() || this.isNoun(); }
Token.prototype.isCavn = function() { return this.isConjunction() || this.isAdverb() || this.isVerb() || this.isNoun(); }
Token.prototype.isNN = function() { return this.isNoun() || this.isName(); }
function MarkToken() {
this.value = "<mark>";
return this;
}
MarkToken.prototype = new Token();
MarkToken.prototype.toString = function() { return "{mark}"; }
MarkToken.prototype.isMark = function() { return true; }
function AssignmentToken(value) {
this.value = value;
return this;
}
AssignmentToken.prototype = new Token();
AssignmentToken.prototype.isAssignment = function() { return true; }
function LeftParenToken() {
this.value = "(";
return this;
}
LeftParenToken.prototype = new Token();
LeftParenToken.prototype.isLeftParen = function() { return true; }
function RightParenToken() {
this.value = ")";
return this;
}
RightParenToken.prototype = new Token();
RightParenToken.prototype.isRightParen = function() { return true; }
function ListToken(value) {
this.value = value;
return this;
}
ListToken.prototype = new Token();
ListToken.prototype.toString = function() {
var s = [];
for(var i = 0;i < this.value.length; ++i) {
s.push(this.value[i].toString());
}
return s.join(" ");
}
ListToken.prototype.isNoun = function() { return true; }
ListToken.prototype.isList = function() { return true; }
function NumberToken(value) {
this.value = value;
return this;
}
NumberToken.prototype = new Token();
NumberToken.prototype.isNoun = function() { return true; }
NumberToken.prototype.isNumber = function() { return true; }
function NameToken(value) {
this.value = value;
return this;
}
NameToken.prototype = new Token();
NameToken.prototype.mApply = function(noun) {
return primitives[this.value].mApply(noun);
}
NameToken.prototype.dApply = function(noun1, noun2) {
return primitives[this.value].dApply(noun1, noun2);
}
NameToken.prototype.isName = function() { return true; }
NameToken.prototype.isVerb = function() {
if (!primitives[this.value])
return true;
return primitives[this.value].isVerb();
}
NameToken.prototype.isNoun = function() {
if (!primitives[this.value])
return false;
return primitives[this.value].isNoun();
}
function ApplyToken() {
return this;
}
ApplyToken.prototype = new Token();
ApplyToken.prototype.mApply = function(noun) {
return this.monad(noun);
}
ApplyToken.prototype.dApply = function(noun1, noun2) {
return this.dyad(noun1, noun2);
}
function VerbToken(name, monad, dyad) {
this.value = name;
this.monad = monad;
this.dyad = dyad;
return this;
}
VerbToken.prototype = new Token();
VerbToken.prototype.mApply = function(noun) {
if (noun.isList()) {
var r = [];
for(var i=0; i < noun.value.length; ++i)
r.push(this.monad(noun.value[i]));
return new ListToken(r);
}
return this.monad(noun);
}
VerbToken.prototype.dApply = function(noun1, noun2) {
if (noun1.isNumber() && noun2.isNumber())
return this.dyad(noun1, noun2);
if (noun1.isList() && noun2.isNumber()) {
var r = [];
for(var i=0; i < noun1.value.length; ++i)
r.push(this.dyad(noun1.value[i], noun2));
return new ListToken(r);
}
if (noun2.isList() && noun1.isNumber()) {
var r = [];
for(var i=0; i < noun2.value.length; ++i)
r.push(this.dyad(noun1, noun2.value[i]));
return new ListToken(r);
}
if (noun1.isList() && noun2.isList()) {
var r = [];
for(var i=0; i < noun1.value.length; ++i)
r.push(this.dyad(noun1.value[i], noun2.value[i]));
return new ListToken(r);
}
return this.dyad(noun1, noun2);
}
VerbToken.prototype.isVerb = function() { return true; }
function AdverbToken(name, func) {
this.value = name;
this.monad = func;
return this;
}
AdverbToken.prototype = new ApplyToken();
AdverbToken.prototype.isAdverb = function() { return true; }
function ConjunctionToken(name, func) {
this.value = name;
this.dyad = func;
return this;
}
ConjunctionToken.prototype = new ApplyToken();
ConjunctionToken.prototype.isConjunction = function() { return true; }
var primitives = {
",": new VerbToken(",",
null,
function(n1, n2) {
if (n1.isList() && n2.isList())
return new ListToken(n1.value.concat(n2.value));
if (n1.isList() && !n2.isList()) {
var l = new ListToken(n1.value.slice(0));
l.value.push(n2.value);
return l;
}
if (!n1.isList() && n2.isList()) {
var l = new ListToken(n2.value.slice(0));
l.value.unshift(n1.value);
return l;
}
return new ListToken([n1.value,n2.value]);
}),
"#": new VerbToken("#",
function(n1) {
return new NumberToken(n1.isList() ? n1.value.length : 1);
},
null),
"+": new VerbToken("+",
null,
function(n1, n2) {
return new NumberToken(n1.value + n2.value);
}),
"-": new VerbToken("-",
function(n1) {
return new NumberToken(-n1.value);
},
function(n1, n2) {
return new NumberToken(n1.value - n2.value);
}),
"*": new VerbToken("*",
null,
function(n1, n2) {
return new NumberToken(n1.value * n2.value);
}),
"*:": new VerbToken("*:",
function(n1) {
return new NumberToken(n1.value * n1.value);
},
null),
"%": new VerbToken("%",
function(n1) {
return new NumberToken(1.0 / n1.value);
},
function(n1, n2) {
return new NumberToken(n1.value / n2.value);
})
}
primitives[","].dApply = ApplyToken.prototype.dApply;
primitives["#"].mApply = ApplyToken.prototype.mApply;
function tokenize(s) {
var tokens = [new MarkToken()];
while (s.length > 0) {
var object;
var token
if (s.search(/[0-9]+/) == 0) {
token = s.match(/[0-9]+/);
object = token[0];
s = s.substr(object.length, s.length - object.length);
var num = new NumberToken(parseFloat(object));
if (tokens.length == 0 ||
(!tokens[tokens.length-1].isNumber() &&
!tokens[tokens.length-1].isList())) {
tokens.push(num);
}
else if (tokens.length > 0 && tokens[tokens.length-1].isNumber()) {
tokens[tokens.length-1] = new ListToken([tokens[tokens.length-1], num]);
}
else if (tokens.length > 0 && tokens[tokens.length-1].isList()) {
tokens[tokens.length-1].value.push(num);
}
continue;
}
if (s.search(/[a-zA-Z]+/) == 0) {
token = s.match(/[a-zA-Z]+/);
object = token[0];
s = s.substr(object.length, s.length - object.length);
tokens.push(new NameToken(object));
continue;
}
if (s.search(/=\.|=:/) == 0) {
token = s.match(/=\.|=:/);
object = token[0];
s = s.substr(object.length, s.length - object.length);
tokens.push(new AssignmentToken(object));
continue;
}
if (s.length >= 2 && s[0] == '*' && s[1] == ':') {
tokens.push(primitives[s[0]+s[1]]);
s = s.substr(2, s.length - 1);
continue;
}
if (s.length >= 1 && (s[0] == '+' ||
s[0] == '-' ||
s[0] == '*' ||
s[0] == ',' ||
s[0] == '#' ||
s[0] == '%')) {
tokens.push(primitives[s[0]]);
s = s.substr(1, s.length - 1);
continue;
}
if (s.length >= 1 && s[0] == '/') {
s = s.substr(1, s.length - 1);
tokens.push(new AdverbToken("/", function(vn) {
var f = function(noun) {
if (noun.isList()) {
var r = noun.value[0];
for(var i=1; i < noun.value.length; ++i) {
r = vn.dApply(r, noun.value[i]);
}
return r;
}
return noun;
}
var t = new VerbToken(vn.value + "/", f, null);
t.mApply = ApplyToken.prototype.mApply;
return t;
}));
continue;
}
if (s.length >= 1 && s[0] == '&') {
s = s.substr(1, s.length - 1);
tokens.push(new ConjunctionToken("&", function(vn1, vn2) {
var f = function(noun) {
if (vn1.isVerb() && vn2.isNoun())
return vn1.dApply(noun, vn2);
if (vn1.isNoun() && vn2.isVerb())
return vn2.dApply(vn1, noun);
if (vn1.isVerb() && vn2.isVerb())
throw "verb/verb conjunction not implemented";
}
return new VerbToken(vn1.value + "&" + vn2.value, f, null);
}));
continue;
}
if (s.length >= 1 && s[0] == '(') {
s = s.substr(1, s.length - 1);
tokens.push(new LeftParenToken());
continue;
}
if (s.length >= 1 && s[0] == ')') {
s = s.substr(1, s.length - 1);
tokens.push(new RightParenToken());
continue;
}
if (s.search(/\s+/) == 0) {
token = s.match(/\s+/);
object = token[0];
s = s.substr(object.length, s.length - object.length);
continue;
}
s = "";
}
return tokens;
}
function checkRules(queue, stack) {
var slen = stack.length;
// Check stack for patterns
// Monad rule
if (slen >= 3 &&
stack[0].isEdge() &&
stack[1].isVerb() &&
stack[2].isNoun()) {
var verb = stack[1];
var noun = stack[2];
stack.splice(1,2, verb.mApply(noun));
return "monad";
}
// Second monad rule
if (slen >= 4 &&
stack[0].isEavn() &&
stack[1].isVerb() &&
stack[2].isVerb() &&
stack[3].isNoun()) {
stack.splice(2,2, stack[2].mApply(stack[3]));
return "monad2";
}
// Dyad rule
if (slen >= 4 &&
stack[0].isEavn() &&
stack[1].isNoun() &&
stack[2].isVerb() &&
stack[3].isNoun()) {
stack.splice(1,3, stack[2].dApply(stack[1], stack[3]));
return "dyad";
}
// Adverb rule
if (slen >= 3 &&
stack[0].isEavn() &&
stack[1].isVn() &&
stack[2].isAdverb()) {
stack.splice(1,2, stack[2].mApply(stack[1]));
return "adv";
}
// Conjuction rule
if (slen >= 4 &&
stack[0].isEavn() &&
stack[1].isVn() &&
stack[2].isConjunction() &&
stack[3].isVn()) {
stack.splice(1,3, stack[2].dApply(stack[1], stack[3]));
return "conj";
}
// Trident rule
if (slen >= 4 &&
stack[0].isEavn() &&
stack[1].isVn() &&
stack[2].isVerb() &&
stack[3].isVerb()) {
var f = stack[1];
var g = stack[2];
var h = stack[3];
var func = function(noun) {
if (f.isNoun())
return g.dApply(f, h.mApply(noun));
else {
return g.dApply(f.mApply(noun), h.mApply(noun));
}
}
var t = new VerbToken(stack[1].value + " " + stack[2].value + " " + stack[3].value, func);
t.mApply = ApplyToken.prototype.mApply;
stack.splice(1,3, t);
return "trident";
}
// Bident rule
if (slen >= 3 &&
stack[0].isEdge() &&
stack[1].isCavn() &&
stack[2].isCavn()) {
var cavn1 = stack[1];
var cavn2 = stack[2];
var result;
if (cavn1.isVerb() && cavn2.isVerb()) {
result = null; // verb (hook)
}
else if (cavn1.isAdverb() && cavn2.isAdverb()) {
result = null; // adverb
}
else if (cavn1.isConjunction() && cavn2.isVerb()) {
result = null; // adverb
}
else if (cavn1.isConjunction() && cavn2.isNoun()) {
result = null; // adverb
}
else if (cavn1.isNoun() && cavn2.isConjunction()) {
var func = function(verb) {
var conjunction = cavn2.dApply(cavn1, verb);
var f = function(noun) {
return conjunction.mApply(noun);
}
var t = new VerbToken(cavn1.value + cavn2.value + verb.value, f, null);
t.mApply = ApplyToken.prototype.mApply;
return t;
};
result = new AdverbToken(cavn1.value + cavn2.value, func);
}
else if (cavn1.isVerb() && cavn2.isConjunction()) {
result = null; // adverb
}
stack.splice(1,2, result);
return "bident";
}
// Assignment rule
if (slen >= 3 &&
stack[0].isNN() &&
stack[1].isAssignment() &&
stack[2].isCavn()) {
primitives[stack[0].value] = stack[2];
stack.splice(0,3, stack[2]);
return "assign";
}
// Parenthesis rule
if (slen >= 3 &&
stack[0].isLeftParen() &&
stack[1].isCavn() &&
stack[2].isRightParen()) {
stack.splice(0,3, stack[1]);
return "paren";
}
return null;
}
function debugTokens(tokens) {
var t = document.getElementById('tokens');
t.innerHTML = "";
for(var i=0; i < tokens.length; ++i) {
t.innerHTML += " " + tokens[i].toString();
}
}
function doeval(text) {
var queue = tokenize(text);
var debug = [];
debugTokens(queue);
var stack = [];
while (queue.length > 0) {
var queueCopy = queue.slice(0);
var stackCopy = stack.slice(0);
var rule;
do {
queueCopy = queue.slice(0);
stackCopy = stack.slice(0);
rule = checkRules(queue, stack);
debug.push({ queue: queueCopy, stack: stackCopy, rule: rule});
} while(rule);
var e = queue.pop();
stack.unshift(e.isName() && primitives[e.value] && primitives[e.value].isNoun() ? primitives[e.value] : e);
}
do {
queueCopy = queue.slice(0);
stackCopy = stack.slice(0);
rule = checkRules(queue, stack);
debug.push({ queue: queueCopy, stack: stackCopy, rule: rule});
displayDebug(debug);
} while (rule);
debug.push({ queue: queue, stack: stack, rule: null});
displayDebug(debug);
return stack;
}
function displayDebug(debug) {
var maxStack = 0;
var maxQueue = 0;
for(var i = 0; i < debug.length; ++i) {
maxStack = Math.max(debug[i].stack.length, maxStack);
maxQueue = Math.max(debug[i].queue.length, maxQueue);
}
var html = [];
html.push("<table border='1'><tr><th>queue</th><th colspan='");
html.push(maxStack);
html.push("'>stack</th><th>rule</th></tr>");
for(var i = 0; i < debug.length; ++i) {
html.push("<tr><td>");
if (debug[i].queue.length == 0) {
html.push(" ");
}
for (var j = 0; j < debug[i].queue.length; ++j) {
html.push(debug[i].queue[j].toString());
html.push(" ");
}
html.push("</td>");
for (var j = 0; j < maxStack; ++j) {
if (j >= debug[i].stack.length) {
html.push("<td> </td>");
}
else {
html.push("<td>");
html.push(debug[i].stack[j].toString());
html.push("</td>");
}
}
html.push("<td>");
html.push(debug[i].rule ? debug[i].rule : " ");
html.push("</td></tr>");
}
html.push("</table>");
document.getElementById('steps').innerHTML=html.join("");
}
function jeval() {
var text = document.getElementById('expr').value;
var pre = document.getElementById('result');
pre.innerHTML = doeval(text)[1].toString();
}
</script>
<textarea id='expr'></textarea>
<button onclick="jeval();">Eval</button>
<p>Result</p>
<pre id='result'></pre>
<p>Tokens</p>
<pre id='tokens'></pre>
<p>Steps</p>
<div id='steps'></div>
</body>
</html>