#region symbols global.LOG_EXPRESSION = false; 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; //power 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[? "⊕"] = -99; //+= global.EQUATION_PRES[? "⊖"] = -99; //-= global.EQUATION_PRES[? "⊗"] = -99; //*= 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 #endregion #region parser function functionStringClean(fx) { #region static __BRACKETS = [ "(", "[", "," ]; var ch = "", ind = 0, len = string_length(fx); var _fx = "", str = false; var _prevSym = true; while(ind++ <= len) { ch = string_char_at(fx, ind); if(ch == " ") { if(str) _fx += ch; } else { if(ch == "-" && _prevSym) _fx += $"0∸"; else _fx += ch; _prevSym = ds_map_exists(global.EQUATION_PRES, ch) || array_exists(__BRACKETS, ch); } if(ch == "\"") str = !str; } fx = _fx; fx = string_replace_all(fx, "\n", ""); fx = string_replace_all(fx, "**", "$"); 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_replace_all(fx, "++", "⊕1"); fx = string_replace_all(fx, "--", "⊖1"); 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; } #endregion function functionStrip(fx) { #region 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) } #endregion function evaluateFunctionList(fx) { #region fx = string_replace_all(fx, "{", "\n{\n"); fx = string_replace_all(fx, "}", "\n}\n"); var fxs = string_split(fx, "\n", true); var flist = new __funcList(); var call_st = ds_stack_create(); var blok_st = ds_stack_create(); ds_stack_push(call_st, flist); for( var i = 0, n = array_length(fxs); i < n; i++ ) { var _fx = functionStringClean(fxs[i]); //print($"Eval line {i}: {_fx} [stack size = {ds_stack_size(call_st)}]"); if(_fx == "" || _fx == "{") continue; if(_fx == "}") { ds_stack_pop(call_st); continue; } var _fx_sp = string_split(_fx, "("); var _cmd = string_trim(_fx_sp[0]); var _cond = functionStrip(_fx); switch(_cmd) { 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); ds_stack_push(blok_st, con_if); continue; case "elseif": var con_if = ds_stack_pop(blok_st); var con_elif = new __funcIf(); con_elif.condition = evaluateFunctionTree(_cond); con_if.if_false.addFunction(con_elif); ds_stack_push(call_st, con_elif.if_true); ds_stack_push(blok_st, con_elif); continue; case "else": var con_if = ds_stack_pop(blok_st); 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_arr = evaluateFunctionTree(cond[1]); cond[0] = string_trim(cond[0]); var _itr = string_split(cond[0], ","); if(array_length(_itr) == 1) con_for.cond_iter = cond[0]; else if(array_length(_itr) == 2) { con_for.cond_indx = string_trim(_itr[0]); con_for.cond_iter = string_trim(_itr[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; } if(ds_stack_empty(call_st)) { print("Block stack empty, how?"); } else { var _top = ds_stack_top(call_st); _top.addFunction(evaluateFunctionTree(_fx)); } } ds_stack_destroy(call_st); ds_stack_destroy(blok_st); return flist; } #endregion function evaluateFunctionTree(fx) { #region //////////////////////////////////////////// STATEMENT PARSER //////////////////////////////////////////// static __BRACKETS = [ "(", ")", "[", "]", "]" ]; var pres = global.EQUATION_PRES; var vl = ds_stack_create(); var op = ds_stack_create(); var last_push = ""; fx = functionStringClean(fx); var len = string_length(fx); var l = 1; var ch = ""; var cch = ""; var _ch = ""; var in_str = false; printIf(global.LOG_EXPRESSION, $"===== Evaluating function: {fx} ====="); while(l <= len) { ch = string_char_at(fx, l); printIf(global.LOG_EXPRESSION, $"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 { 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") { // Get array member | a[1] ds_stack_push(op, "@"); ds_stack_push(op, ch); } else // Create array member | a = [1] 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 == "(") break; if(is_array(_top) && (_top[0] == "{" || _top[0] == "〚")) break; var _top = ds_stack_pop(op); ds_stack_push(vl, buildFuncTree(_top, vl)); } last_push = "op"; 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 == ",") 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"; } } printIf(global.LOG_EXPRESSION, $"\tvl = {ds_stack_to_array(vl)}\n\top = {ds_stack_to_array(op)}"); _ch = ch; } while(!ds_stack_empty(op)) ds_stack_push(vl, buildFuncTree(ds_stack_pop(op), vl)); var tree = ds_stack_empty(vl)? noone : ds_stack_pop(vl); ds_stack_destroy(op); ds_stack_destroy(vl); if(!is_struct(tree)) tree = new __funcTree("", tree); printIf(global.LOG_EXPRESSION, tree); printIf(global.LOG_EXPRESSION, ""); return tree; } #endregion function buildFuncTree(operator, vl) { #region if(ds_stack_empty(vl)) return noone; if(ds_map_exists(global.FUNCTIONS, operator)) { if(ds_stack_empty(vl)) return noone; var _v1 = ds_stack_pop(vl); return new __funcTree(operator, _v1); } switch(operator) { case "@": var _v1 = ds_stack_pop(vl); var _v2 = ds_stack_pop(vl); return new __funcTree(operator, _v2, _v1); case "-": case "∸": case "+": //binary operators case "*": case "$": case "/": case "%": 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; } #endregion #endregion