#region data global.EVALUATE_HEAD = noone; global.EQUATION_PRES = ds_map_create(); global.EQUATION_PRES[? "+"] = 1; global.EQUATION_PRES[? "-"] = 1; global.EQUATION_PRES[? "∸"] = 9; //unary negative global.EQUATION_PRES[? "*"] = 2; global.EQUATION_PRES[? "/"] = 2; global.EQUATION_PRES[? "%"] = 2; global.EQUATION_PRES[? "$"] = 3; global.EQUATION_PRES[? "&"] = 5; global.EQUATION_PRES[? "|"] = 4; global.EQUATION_PRES[? "^"] = 3; global.EQUATION_PRES[? "<"] = 3; global.EQUATION_PRES[? "»"] = 6; global.EQUATION_PRES[? "«"] = 6; global.EQUATION_PRES[? "~"] = 9; global.EQUATION_PRES[? "="] = -99; global.EQUATION_PRES[? "⩵"] = -1; //== global.EQUATION_PRES[? "≠"] = -1; //!= global.EQUATION_PRES[? "<"] = 0; global.EQUATION_PRES[? ">"] = 0; global.EQUATION_PRES[? "≤"] = 0; global.EQUATION_PRES[? "≥"] = 0; global.EQUATION_PRES[? "@"] = 5; //array accerssor symbol global.FUNCTIONS = ds_map_create(); global.FUNCTIONS[? "sin"] = [ ["radian"], function(val) { return sin(val[0]); } ]; global.FUNCTIONS[? "cos"] = [ ["radian"], function(val) { return cos(val[0]); } ]; global.FUNCTIONS[? "tan"] = [ ["radian"], function(val) { return tan(val[0]); } ]; global.FUNCTIONS[? "abs"] = [ ["number"], function(val) { return abs(val[0]); } ]; global.FUNCTIONS[? "round"] = [ ["number"], function(val) { return round(val[0]); } ]; global.FUNCTIONS[? "ceil"] = [ ["number"], function(val) { return ceil(val[0]); } ]; global.FUNCTIONS[? "floor"] = [ ["number"], function(val) { return floor(val[0]); } ]; global.FUNCTIONS[? "lerp"] = [ ["number_0", "number_1", "amount"], function(val) { return lerp(array_safe_get(val, 0), array_safe_get(val, 1), array_safe_get(val, 2)); } ]; global.FUNCTIONS[? "wiggle"] = [ ["time", "frequency", "octave = 1", "seed = 0"], function(val) { return wiggle(0, 1, array_safe_get(val, 1), array_safe_get(val, 0), array_safe_get(val, 3, 0), array_safe_get(val, 2, 1)); } ]; global.FUNCTIONS[? "random"] = [ ["min = 0", "max = 1"], function(val) { return random_range(array_safe_get(val, 0, 0), array_safe_get(val, 1, 1)); } ]; global.FUNCTIONS[? "irandom"] = [ ["min = 0", "max = 1"], function(val) { return irandom_range(array_safe_get(val, 0, 0), array_safe_get(val, 1, 1)); } ]; global.FUNCTIONS[? "range"] = [ ["length", "start = 0", "step = 1"], function(val) { var arr = array_create(array_safe_get(val, 0, 0)); for( var i = 0; i < array_length(arr); i++ ) arr[i] = array_safe_get(val, 1, 0) + i * array_safe_get(val, 2, 1); return arr; } ]; #endregion function functionStringClean(fx) { var ch = "", ind = 0, len = string_length(fx); var _fx = "", str = false; while(ind++ <= len) { ch = string_char_at(fx, ind); if(ch == " ") { if(str) _fx += ch; } else _fx += ch; if(ch == "\"") str = !str; } fx = _fx; fx = string_replace_all(fx, "\n", ""); fx = string_replace_all(fx, "**", "$"); fx = string_replace_all(fx, "<<", "«"); fx = string_replace_all(fx, ">>", "»"); fx = string_replace_all(fx, "==", "⩵"); fx = string_replace_all(fx, "!=", "≠"); fx = string_replace_all(fx, "<>", "≠"); fx = string_replace_all(fx, ">=", "≥"); fx = string_replace_all(fx, "<=", "≤"); fx = string_trim(fx); return fx; } #region evaluator enum EXPRESS_TREE_ANIM { none, base_value, animated } function __funcList() constructor { funcTrees = []; static addFunction = function(fn) { array_push(funcTrees, fn); } static validate = function() { for( var i = 0; i < array_length(funcTrees); i++ ) if(!funcTrees[i].validate()) return false; return true; } static isAnimated = function() { for( var i = 0; i < array_length(funcTrees); i++ ) if(!funcTrees[i].isAnimated()) return false; return true; } static eval = function(params = {}) { //var _params = variable_clone(params); var val = 0; for( var i = 0; i < array_length(funcTrees); i++ ) val = funcTrees[i].eval(params); return val; } } function __funcIf() constructor { condition = noone; if_true = new __funcList(); if_false = new __funcList(); static validate = function() { if(condition != noone && !condition.validate()) return false; if(if_true != noone && !if_true.validate()) return false; if(if_false != noone && !if_false.validate()) return false; return true; } static isAnimated = function() { if(condition != noone && !condition.isAnimated()) return false; if(if_true != noone && !if_true.isAnimated()) return false; if(if_false != noone && !if_false.isAnimated()) return false; return true; } static eval = function(params = {}) { if(condition == noone) return 0; var res = condition.eval(params); printIf(global.FLAG.expression_debug, $"<<<<<< IF {res} >>>>>>"); if(res) return if_true == noone? 0 : if_true.eval(params); else return if_false == noone? 0 : if_false.eval(params); } } function __funcFor() constructor { itr_array = false; cond_init = noone; cond_iter = noone; cond_term = noone; cond_arr = noone; cond_step = 1; action = new __funcList(); static validate = function() { if(itr_array) { if(cond_arr == noone || !cond_arr.validate()) return false; } else { if(cond_init == noone || !cond_init.validate()) return false; if(cond_term == noone || !cond_term.validate()) return false; } if(action != noone && !action.validate()) return false; return true; } static isAnimated = function() { if(itr_array) { if(cond_arr == noone || !cond_arr.isAnimated()) return false; } else { if(cond_init == noone || !cond_init.isAnimated()) return false; if(cond_term == noone || !cond_term.isAnimated()) return false; } if(action != noone && !action.isAnimated()) return false; return true; } static eval = function(params = {}) { if(itr_array) { var _arr = cond_arr.eval(params); printIf(global.FLAG.expression_debug, $"<<<<<< FOR EACH {_arr} >>>>>>"); for( var i = 0; i < array_length(_arr); i++ ) { var val = _arr[i]; params[$ cond_iter] = val; printIf(global.FLAG.expression_debug, $"<< ITER {i}: {cond_iter} = {val} >>"); action.eval(params); } } else { printIf(global.FLAG.expression_debug, "<< FOR >>"); cond_init.eval(params); while(cond_term.eval(params)) { action.eval(params); cond_iter.eval(params); } } } } function __funcTree(symbol, l = noone, r = noone) constructor { self.symbol = symbol; self.l = l; self.r = r; dependency = []; static _string = function(str) { return string_char_at(str, 1) == "\"" && string_char_at(str, string_length(str)) == "\""; } static _string_trim = function(str) { return _string(str)? string_copy(str, 2, string_length(str) - 2) : string(str); } static getVal = function(val, params = {}, getRaw = false) { if(is_struct(val)) return val.eval(params); if(is_real(val)) return val; if(getRaw) return val; if(is_string(val)) val = string_trim(val); //printIf(global.FLAG.expression_debug, $" [ get struct {params}[{val}] ]"); if(struct_has(params, val)) return struct_try_get(params, val); if(_string(string_trim(val))) return string_trim(val); return nodeGetData(val); } static _validate = function(val) { if(is_real(val)) return true; if(is_string(val)) return true; if(is_struct(val)) return val.validate(); if(val == "value") return true; if(PROJECT.globalNode.inputExist(val)) return true; var strs = string_splice(val, "."); if(array_length(strs) < 2) return false; if(strs[0] == "Project") return ds_map_exists(PROJECT_VARIABLES, strs[1]); if(!ds_map_exists(PROJECT.nodeNameMap, strs[0])) return false; array_push_unique(dependency, strs[0]); return true; } static validate = function() { dependency = []; if(ds_map_exists(global.FUNCTIONS, symbol)) { if(!is_array(l)) return false; for( var i = 0; i < array_length(l); i++ ) if(!_validate(l[i])) return false; return true; } switch(symbol) { case "@": return _validate(l); case "【": return true; case "": return true; } return _validate(l) && _validate(r); } static _isAnimated = function(val) { if(is_real(val)) return EXPRESS_TREE_ANIM.none; if(is_struct(val)) return val._isAnimated(); if(val == "value") return EXPRESS_TREE_ANIM.base_value; if(PROJECT.globalNode.inputExist(val)) { var _inp = PROJECT.globalNode.getInput(val); if(_inp.is_anim) return EXPRESS_TREE_ANIM.animated; } return EXPRESS_TREE_ANIM.none; } static isAnimated = function() { var anim = EXPRESS_TREE_ANIM.none; anim = max(anim, _isAnimated(l)); if(symbol != "@") anim = max(anim, _isAnimated(r)); return anim; } static eval = function(params = {}) { if(ds_map_exists(global.FUNCTIONS, symbol)) { if(!is_array(l)) return 0; var _fn = global.FUNCTIONS[? symbol]; var _ev = _fn[1]; var _l = array_create(array_length(l)); for( var i = 0; i < array_length(l); i++ ) _l[i] = getVal(l[i], params); var res = _ev(_l); printIf(global.FLAG.expression_debug, $"Function {symbol}{_l} = {res}"); printIf(global.FLAG.expression_debug, "===================="); return res; } var v1 = getVal(l, params, symbol == "=" || symbol == "【"); var v2 = getVal(r, params); var res = 0; if(symbol == "") { res = v1; } else if(symbol == "【") { //array builder res = array_create(array_length(v1)); for( var i = 0; i < array_length(res); i++ ) res[i] = getVal(v1[i], params); } else if(symbol == "@") { res = is_real(v2)? array_safe_get(v1, v2) : 0; } else if(symbol == "=") { params[$ v1] = v2; res = v2; } else if(is_array(v1) && !is_array(v2)) { res = array_create(array_length(v1)); for( var i = 0; i < array_length(res); i++ ) res[i] = eval_real(array_safe_get(v1, i), v2); } else if(!is_array(v1) && is_array(v2)) { res = array_create(array_length(v2)); for( var i = 0; i < array_length(res); i++ ) res[i] = eval_real(v1, array_safe_get(v2, i)); } else if(is_array(v1) && is_array(v2)) { res = array_create(max(array_length(v1), array_length(v2))); for( var i = 0; i < array_length(res); i++ ) res[i] = eval_real(array_safe_get(v1, i), array_safe_get(v2, i)); } else res = eval_real(v1, v2); printIf(global.FLAG.expression_debug, $"|{v1}|{symbol}|{v2}| = {res}"); printIf(global.FLAG.expression_debug, $"symbol : {symbol}"); printIf(global.FLAG.expression_debug, $"l : | {typeof(l)} |{l}|"); printIf(global.FLAG.expression_debug, $"r : | {typeof(r)} |{r}|"); printIf(global.FLAG.expression_debug, "===================="); return res; } static eval_real = function(v1, v2) { switch(symbol) { case "+": if(_string(v1) || _string(v2)) return _string_trim(v1) + _string_trim(v2); if(is_real(v1) && is_real(v2)) return v1 + v2; return 0; case "-": return (is_real(v1) && is_real(v2))? v1 - v2 : 0; case "∸": return is_real(v1)? -v1 : 0; case "*": return (is_real(v1) && is_real(v2))? v1 * v2 : 0; case "$": return (is_real(v1) && is_real(v2))? power(v1, v2) : 0; case "/": return (is_real(v1) && is_real(v2) && v2 != 0)? v1 / v2 : 0; case "%": return (is_real(v1) && is_real(v2) && v2 != 0)? v1 % v2 : 0; case "&": return (is_real(v1) && is_real(v2))? v1 & v2 : 0; case "|": return (is_real(v1) && is_real(v2))? v1 | v2 : 0; case "^": return (is_real(v1) && is_real(v2))? v1 ^ v2 : 0; case "«": return (is_real(v1) && is_real(v2))? v1 << v2 : 0; case "»": return (is_real(v1) && is_real(v2))? v1 >> v2 : 0; case "~": return is_real(v1)? ~v1 : 0; case "⩵": return (is_real(v1) && is_real(v2))? v1 == v2 : 0; case "≠": return (is_real(v1) && is_real(v2))? v1 != v2 : 0; case "≤": return (is_real(v1) && is_real(v2))? v1 <= v2 : 0; case "≥": return (is_real(v1) && is_real(v2))? v1 >= v2 : 0; case ">": return (is_real(v1) && is_real(v2))? v1 > v2 : 0; case "<": return (is_real(v1) && is_real(v2))? v1 < v2 : 0; case "sin" : return is_real(v1)? sin(v1) : 0; case "cos" : return is_real(v1)? cos(v1) : 0; case "tan" : return is_real(v1)? tan(v1) : 0; case "abs" : return is_real(v1)? abs(v1) : 0; case "round" : return is_real(v1)? round(v1) : 0; case "ceil" : return is_real(v1)? ceil(v1) : 0; case "floor" : return is_real(v1)? floor(v1) : 0; } return v1; } } function functionStrip(fx) { var el_st = 1; var el_ed = 1; for( var i = 1; i <= string_length(fx); i++ ) { var cch = string_char_at(fx, i); if(cch == "(") { el_st = i + 1; break; } } for( var i = string_length(fx); i >= 1; i-- ) { var cch = string_char_at(fx, i); if(cch == ")") { el_ed = i; break; } } return string_copy(fx, el_st, el_ed - el_st) } function evaluateFunctionList(fx) { var fxs = string_split(fx, "\n"); var flist = new __funcList(); var call_st = ds_stack_create(); ds_stack_push(call_st, flist); for( var i = 0; i < array_length(fxs); i++ ) { var _fx = functionStringClean(fxs[i]); if(_fx == "") continue; var _fx_sp = string_split(_fx, "("); if(string_char_at(_fx, 1) == "}") { ds_stack_pop(call_st); _fx = string_replace(_fx, "}", ""); } if(array_length(_fx_sp) > 1) { var _cond = functionStrip(_fx); switch(_fx_sp[0]) { case "if": var con_if = new __funcIf(); con_if.condition = evaluateFunctionTree(_cond); ds_stack_top(call_st).addFunction(con_if); ds_stack_push(call_st, con_if.if_true); continue; case "else if": var con_if = new __funcIf(); con_if.condition = evaluateFunctionTree(_cond); ds_stack_top(call_st).addFunction(con_if); ds_stack_push(call_st, con_if.if_true); continue; case "else": ds_stack_push(call_st, con_if.if_false); continue; case "for": var con_for = new __funcFor(); var cond = string_splice(_cond, ":"); if(array_length(cond) == 2) { con_for.itr_array = true; con_for.cond_iter = cond[0]; con_for.cond_arr = evaluateFunctionTree(cond[1]); } else if(array_length(cond) == 3) { con_for.itr_array = false; con_for.cond_init = evaluateFunctionTree(cond[0]); con_for.cond_iter = evaluateFunctionTree(cond[1]); con_for.cond_term = evaluateFunctionTree(cond[2]); } ds_stack_top(call_st).addFunction(con_for); ds_stack_push(call_st, con_for.action); continue; } } ds_stack_top(call_st).addFunction(evaluateFunctionTree(_fx)); } var val = ds_stack_pop(call_st); ds_stack_destroy(call_st); return val; } function evaluateFunctionTree(fx) { static __BRACKETS = [ "(", ")", "[", "]" ]; var pres = global.EQUATION_PRES; var vl = ds_stack_create(); var op = ds_stack_create(); var last_push = ""; var len = string_length(fx); var l = 1; var ch = ""; var cch = ""; var _ch = ""; var in_str = false; //print($"===== Function: {fx} ====="); while(l <= len) { ch = string_char_at(fx, l); //print($"Analyzing {ch}"); if(ds_map_exists(pres, ch)) { //symbol is operator last_push = "op"; if(ds_stack_empty(op)) ds_stack_push(op, ch); else { var _top = ds_stack_top(op); if(_top == "(" || ds_map_exists(global.FUNCTIONS, _top) || pres[? ch] > pres[? _top]) { ds_stack_push(op, ch); } else { if(ch == "-" && ds_map_exists(pres, _ch)) ch = "∸"; //unary negative while(pres[? ch] <= pres[? ds_stack_top(op)] && !ds_stack_empty(op)) ds_stack_push(vl, buildFuncTree(ds_stack_pop(op), vl)); ds_stack_push(op, ch); } } l++; } else if (ch == "(") { if(last_push == "fn") ds_stack_push(op, [ "〚", ds_stack_size(vl) ]); else ds_stack_push(op, ch); last_push = "op"; l++; } else if (ch == ")") { while(!ds_stack_empty(op)) { var _top = ds_stack_pop(op); if(_top == "(") break; if(is_array(_top) && _top[0] == "〚") { var arr = []; while(ds_stack_size(vl) > _top[1]) array_insert(arr, 0, ds_stack_pop(vl)); ds_stack_push(vl, new __funcTree(ds_stack_pop(op), arr)); break; } ds_stack_push(vl, buildFuncTree(_top, vl)); } last_push = "vl"; l++; } else if (ch == "[") { if(last_push == "vl") { ds_stack_push(op, "@"); ds_stack_push(op, ch); } else ds_stack_push(op, [ "{", ds_stack_size(vl) ]); last_push = "op"; l++; } else if (ch == "]") { while(!ds_stack_empty(op)) { var _top = ds_stack_pop(op); if(_top == "[") break; if(is_array(_top) && _top[0] == "{") { var arr = []; while(ds_stack_size(vl) > _top[1]) array_insert(arr, 0, ds_stack_pop(vl)); ds_stack_push(vl, new __funcTree("【", arr)); break; } ds_stack_push(vl, buildFuncTree(_top, vl)); } last_push = "vl"; l++; } else if (ch == ",") { while(!ds_stack_empty(op)) { var _top = ds_stack_top(op); if(_top == "[" || _top == "(" || (is_array(_top) && _top[0] == "{")) break; ds_stack_push(vl, buildFuncTree(_top, vl)); } last_push = "vl"; l++; } else { var vsl = ""; while(l <= len) { cch = string_char_at(fx, l); if(ds_map_exists(pres, cch) || array_exists(__BRACKETS, cch)) break; if(cch == ",") { l++; break; } vsl += cch; l++; } if(vsl == "") continue; if(ds_map_exists(global.FUNCTIONS, vsl)) { //function ds_stack_push(op, vsl); last_push = "fn"; } else { vsl = string_trim(vsl); switch(vsl) { case "e" : ds_stack_push(vl, 2.71828); break; case "pi": ds_stack_push(vl, pi); break; default : ds_stack_push(vl, isNumber(vsl)? toNumber(vsl) : vsl); break; } last_push = "vl"; } } //print($"op: {ds_stack_size(op)}; vl: {ds_stack_size(vl)}"); _ch = ch; } while(!ds_stack_empty(op)) ds_stack_push(vl, buildFuncTree(ds_stack_pop(op), vl)); var tree = ds_stack_empty(vl)? noone : ds_stack_pop(vl); ds_stack_destroy(op); ds_stack_destroy(vl); if(!is_struct(tree)) tree = new __funcTree("", tree); //print(tree); //print(""); return tree; } function buildFuncTree(operator, vl) { if(ds_stack_empty(vl)) return noone; if(ds_map_exists(global.FUNCTIONS, operator)) { if(ds_stack_empty(vl)) return noone; var _v1 = ds_stack_pop(vl); return new __funcTree(operator, _v1); } switch(operator) { case "-": //deal with preceeding negative number -5 if(ds_stack_size(vl) >= 2) { var _v1 = ds_stack_pop(vl); var _v2 = ds_stack_pop(vl); return new __funcTree("-", _v2, _v1); } else return new __funcTree("-", ds_stack_pop(vl), 0); case "@": var _v1 = ds_stack_pop(vl); var _v2 = ds_stack_pop(vl); return new __funcTree(operator, _v2, _v1); case "+": //binary operators case "*": case "$": case "/": case "%": case "|": case "&": case "^": case "»": case "«": case "=": case "⩵": case "≠": case "≤": case "≥": case "<": case ">": if(ds_stack_size(vl) >= 2) { var _v1 = ds_stack_pop(vl); var _v2 = ds_stack_pop(vl); return new __funcTree(operator, _v2, _v1); } default: return new __funcTree(operator, ds_stack_pop(vl)); } return noone; } function evaluateFunction(fx, params = {}) { if(isNumber(fx)) return toNumber(fx); return evaluateFunctionList(fx).eval(params); } #endregion