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AST.to_eqlist = function(ast){
var comparators = ["=","!=","<=",">=","<",">"];
if(ast[1].length == 0 || comparators.indexOf(ast[1][0][0]) < 0) return [ast];
return AST.to_eqlist(ast[1][0]).concat([[ast[0],[ast[1][0][1][1],ast[1][1]]]]);
}
AST.to_text = function(ast){
var functions = {};
functions["bracket"] = function(args){return "("+args[0]+")";};
functions["="] = function(args){return args[0]+" = "+args[1];};
functions["!="] = function(args){return args[0]+" != "+args[1];};
functions["<="] = function(args){return args[0]+" <= "+args[1];};
functions[">="] = function(args){return args[0]+" >= "+args[1];};
functions["<"] = function(args){return args[0]+" < "+args[1];};
functions[">"] = function(args){return args[0]+" > "+args[1];};
functions["*"] = function(args){return "("+args[0]+" * "+args[1]+")";};
functions["+"] = function(args){return "("+args[0]+" + "+args[1]+")";};
functions["/"] = function(args){return "("+args[0]+" / "+args[1]+")";};
functions["fraction"] = function(args){return "("+args[0]+" / "+args[1]+")";};
functions["-"] = function(args){return args.length == 1 ? "-"+args[0] : "("+args[0]+" - "+args[1]+")";};
functions["val"] = function(args){return args[0]+"";};
functions["var"] = function(args){return args[0];};
functions["subscript"] = function(args){return "("+args[0]+"_"+args[1]+")";};
functions["exponential"] = function(args){return "("+args[0]+"^"+args[1]+")";};
functions["factorial"] = function(args){return "("+args[0]+")!";};
functions["_default"] = function(name, args){return name + "(" + args.join(",") + ")";};
return AST.eval(ast, functions);
}
AST.to_xml = function(ast, symbols, symbol_to_node){
var prepend_str = function(doc, str){
doc.documentElement.firstChild.textContent = str + doc.documentElement.firstChild.textContent;
}
var append_str = function(doc, str){
doc.documentElement.lastChild.textContent += str;
}
var tail = function(doc){
var n = doc.documentElement.lastChild;
return n.firstChild.textContent.slice(-1);
}
var head = function(doc){
var n = doc.documentElement.firstChild;
return n.firstChild.textContent.slice(0,1);
}
var append_doc = function(doc, doc2){
var n = doc.documentElement.lastChild;
var nn = doc2.documentElement.firstChild
n.firstChild.textContent += nn.firstChild.textContent;
for(nn = nn.nextSibling; nn; nn = nn.nextSibling){
n.parentNode.insertBefore(nn.cloneNode(true),null);
}
}
var ensure_text_nodes = function(base){
var l = base.getElementsByTagName("e");
for(var i = 0; i < l.length; i++){
if(!(l[i].firstChild)) l[i].appendChild(base.createTextNode(""));
}
}
var get_symbol = function(name, symbols){
for(var s in symbols){
if(symbols[s].attrs.type == name) return symbols[s];
}
}
var get_content_array = function(args){
var content = {};
for(var i = 0; i < args.length; i++){
content[i] = [];
if(args[i].documentElement.nodeName == "l") content[i].push(args[i].documentElement);
else for(var nn = args[i].documentElement.firstChild; nn; nn = nn.nextSibling) content[i].push(nn);
}
return content;
}
var binop_low = function(args, op, parent){
var d = args[0].cloneNode(true);
append_str(d, op);
append_doc(d, args[1].cloneNode(true));
if(parent && (parent[0] == "*" || (parent[0] == "-" && parent[1].length == 1)))
return make_sym("bracket", [d]);
else
return d;
}
var binop_high = function(args, op){
var d = args[0].cloneNode(true);
append_doc(d, make_sym(op,[]));
append_doc(d, args[1].cloneNode(true));
return d;
}
var make_sym = function(name, args){
var sym = get_symbol(name, symbols);
Iif(!sym) throw "Unrecognised symbol: "+name;
var base = (new window.DOMParser()).parseFromString("<c><e></e><e></e></c>", "text/xml");
ensure_text_nodes(base);
var e0 = base.documentElement.firstChild;
var content = get_content_array(args);
var f = symbol_to_node(sym, content, base)['f'];
e0.parentNode.insertBefore(f,e0.nextSibling);
ensure_text_nodes(base);
return base;
}
var functions = {};
var ops = ["<",">","=","<=",">=","!="];
for(var i = 0; i < ops.length; i++){
functions[ops[i]] = function(o){ return function(args){ return binop_high(args, o); }}(ops[i]);
}
functions["*"] = function(args){
var d = args[0].cloneNode(true);
if(/[\d.]/.test(tail(args[0])) && /[\d.]/.test(head(args[1]))) append_doc(d, make_sym("*",[]));
append_doc(d, args[1].cloneNode(true));
return d;
};
functions["/"] = function(args){
return make_sym("fraction",args);
};
functions["+"] = function(args, parent){ return binop_low(args, "+", parent); };
functions["-"] = function(args, parent) {
if(args.length == 1) {
var d = args[0].cloneNode(true);
prepend_str(d, "-");
return d;
}
else {
return binop_low(args, "-", parent);
}
}
functions["neg"] = function(args) {
var d = args[0].cloneNode(true);
prepend_str(d, "-");
return d;
}
functions["val"] = function(args){ return (new window.DOMParser()).parseFromString("<c><e>" + args[0] + "</e></c>", "text/xml");};
functions["var"] = function(args){
if(args[0].length == 1) return (new window.DOMParser()).parseFromString("<c><e>" + args[0] + "</e></c>", "text/xml");
else return make_sym(args[0], {});
};
functions["list"] = function(args){
var base = (new window.DOMParser()).parseFromString("<l></l>", "text/xml");
for(var i = 0; i < args.length; i++){
base.documentElement.appendChild(args[i].documentElement.cloneNode(true));
}
base.documentElement.setAttribute("s",String(args.length))
return base;
};
// var comparators = {"<":"less",">":"greater","=":"eq","!=":"neq",">=":"geq","<=":"leq"};
// for(var c in comparators){
// functions[c] = function(args){
// return make_sym(comparators[c], args);
// }
// }
functions["_default"] = function(name, args){
return make_sym(name, args);
}
var ans = AST.eval(ast, functions);
var new_base = (new window.DOMParser()).parseFromString("<m></m>", "text/xml");
for(var nn = ans.documentElement.firstChild; nn; nn = nn.nextSibling){
new_base.documentElement.insertBefore(nn.cloneNode(true),null);
}
return new_base;
}
AST.get_nodes = function(ast, name){
Iif(ast.length < 2) return [];
var ans = [];
if(ast[0] == name) ans.push(ast[1]);
if(ast[0] == "var" || ast[0] == "val") return ans;
for(var i = 0; i < ast[1].length; i++) ans = ans.concat(AST.get_nodes(ast[1][i], name));
return ans;
}
AST.get_vars = function(ast){
var vars = {};
var ans = [];
var l = AST.get_nodes(ast, "var");
for(var i = 0; i < l.length; i++) vars[l[i][0]] = true;
for(var x in vars) ans.push(x);
return ans;
}
AST.to_function = function(ast, functions){
functions = functions || {}
var defaults = {}
defaults["*"] = function(args){return function(vars){return args[0](vars)*args[1](vars)};};
defaults["+"] = function(args){return function(vars){return args[0](vars)+args[1](vars)};};
defaults["fraction"] = function(args){return function(vars){return args[0](vars)/args[1](vars)};};
defaults["/"] = function(args){return function(vars){return args[0](vars)/args[1](vars)};};
defaults["-"] = function(args){return args.length == 1 ? function(vars){return -args[0](vars)} : function(vars){return args[0](vars)-args[1](vars)};};
defaults["neg"] = function(args){return function(vars){return -args[0](vars)};};
defaults["val"] = function(args){return function(){ return args[0]; };};
defaults["var"] = function(args){return function(vars){ Iif(args[0] == "pi") return Math.PI; Iif(args[0] == "e") return Math.E; return vars[args[0]]; };};
defaults["exponential"] = function(args){return function(vars){return Math.pow(args[0](vars),args[1](vars))};};
defaults["squareroot"] = function(args){return function(vars){return Math.sqrt(args[0](vars))};};
defaults["absolutevalue"] = function(args){return function(vars){return Math.abs(args[0](vars))};};
defaults["sin"] = function(args){return function(vars){return Math.sin(args[0](vars))};};
defaults["cos"] = function(args){return function(vars){return Math.cos(args[0](vars))};};
defaults["tan"] = function(args){return function(vars){return Math.tan(args[0](vars))};};
defaults["log"] = function(args){return function(vars){return Math.log(args[0](vars))};};
for(var n in defaults) Eif(!functions[n]) functions[n] = defaults[n];
return {"function":AST.eval(ast, functions),"vars":AST.get_vars(ast)};
}
AST.eval = function(ast, functions, parent){
ans = null;
if(!functions["_default"]) functions["_default"] = function(name, args){ throw Error("Function not implemented: " + name + "(" + args + ")");}
var args = []
for(var i = 0; i < ast[1].length; i++){
if(Object.prototype.toString.call(ast[1][i]) === '[object Array]'){
args.push(AST.eval(ast[1][i], functions, ast));
}
else{
args.push(ast[1][i]);
}
}
var ans = null;
if(functions[ast[0]]) ans = functions[ast[0]](args, parent);
else Eif(functions["_default"]) ans = functions["_default"](ast[0], args, parent);
return ans
}
export default AST;
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