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formula1.js
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//
/*
// SocialCalc Spreadsheet Formula Library
//
// Part of the SocialCalc package
//
// (c) Copyright 2008 Socialtext, Inc.
// All Rights Reserved.
//
// The contents of this file are subject to the Artistic License 2.0; you may not
// use this file except in compliance with the License. You may obtain a copy of
// the License at http://socialcalc.org/licenses/al-20/.
//
// Some of the other files in the SocialCalc package are licensed under
// different licenses. Please note the licenses of the modules you use.
//
// Code History:
//
// Initially coded by Dan Bricklin of Software Garden, Inc., for Socialtext, Inc.
// Based in part on the SocialCalc 1.1.0 code written in Perl.
// The SocialCalc 1.1.0 code was:
// Portions (c) Copyright 2005, 2006, 2007 Software Garden, Inc.
// All Rights Reserved.
// Portions (c) Copyright 2007 Socialtext, Inc.
// All Rights Reserved.
// The Perl SocialCalc started as modifications to the wikiCalc(R) program, version 1.0.
// wikiCalc 1.0 was written by Software Garden, Inc.
// Unless otherwise specified, referring to "SocialCalc" in comments refers to this
// JavaScript version of the code, not the SocialCalc Perl code.
//
*/
var SocialCalc;
if (!SocialCalc) SocialCalc = {}; // May be used with other SocialCalc libraries or standalone
// In any case, requires SocialCalc.Constants.
SocialCalc.Formula = {};
//
// Formula constants for parsing:
//
SocialCalc.Formula.ParseState = {num: 1, alpha: 2, coord: 3, string: 4, stringquote: 5, numexp1: 6, numexp2: 7, alphanumeric: 8, specialvalue:9};
SocialCalc.Formula.TokenType = {num: 1, coord: 2, op: 3, name: 4, error: 5, string: 6, space: 7};
SocialCalc.Formula.CharClass = {num: 1, numstart: 2, op: 3, eof: 4, alpha: 5, incoord: 6, error: 7, quote: 8, space: 9, specialstart: 10};
SocialCalc.Formula.CharClassTable = {
" ": 9, "!": 3, '"': 8, "'": 8, "#": 10, "$":6, "%":3, "&":3, "(": 3, ")": 3, "*": 3, "+": 3, ",": 3, "-": 3, ".": 2, "/": 3,
"0": 1, "1": 1, "2": 1, "3": 1, "4": 1, "5": 1, "6": 1, "7": 1, "8": 1, "9": 1,
":": 3, "<": 3, "=": 3, ">": 3,
"A": 5, "B": 5, "C": 5, "D": 5, "E": 5, "F": 5, "G": 5, "H": 5, "I": 5, "J": 5, "K": 5, "L": 5, "M": 5, "N": 5,
"O": 5, "P": 5, "Q": 5, "R": 5, "S": 5, "T": 5, "U": 5, "V": 5, "W": 5, "X": 5, "Y": 5, "Z": 5,
"^": 3, "_": 5,
"a": 5, "b": 5, "c": 5, "d": 5, "e": 5, "f": 5, "g": 5, "h": 5, "i": 5, "j": 5, "k": 5, "l": 5, "m": 5, "n": 5,
"o": 5, "p": 5, "q": 5, "r": 5, "s": 5, "t": 5, "u": 5, "v": 5, "w": 5, "x": 5, "y": 5, "z": 5
};
SocialCalc.Formula.UpperCaseTable = {
"a": "A", "b": "B", "c": "C", "d": "D", "e": "E", "f": "F", "g": "G", "h": "H", "i": "I", "j": "J", "k": "K", "l": "L", "m": "M",
"n": "N", "o": "O", "p": "P", "q": "Q", "r": "R", "s": "S", "t": "T", "u": "U", "v": "V", "w": "W", "x": "X", "y": "Y", "z": "Z",
"A": "A", "B": "B", "C": "C", "D": "D", "E": "E", "F": "F", "G": "G", "H": "H", "I": "I", "J": "J", "K": "K", "L": "L", "M": "M",
"N": "N", "O": "O", "P": "P", "Q": "Q", "R": "R", "S": "S", "T": "T", "U": "U", "V": "V", "W": "W", "X": "X", "Y": "Y", "Z": "Z"
}
SocialCalc.Formula.SpecialConstants = { // names that turn into constants for name lookup
"#NULL!": "0,e#NULL!", "#NUM!": "0,e#NUM!", "#DIV/0!": "0,e#DIV/0!", "#VALUE!": "0,e#VALUE!",
"#REF!": "0,e#REF!", "#NAME?": "0,e#NAME?"};
// Operator Precedence table
//
// 1- !, 2- : ,, 3- M P, 4- %, 5- ^, 6- * /, 7- + -, 8- &, 9- < > = G(>=) L(<=) N(<>),
// Negative value means Right Associative
SocialCalc.Formula.TokenPrecedence = {
"!": 1,
":": 2, ",": 2,
"M": -3, "P": -3,
"%": 4,
"^": 5,
"*": 6, "/": 6,
"+": 7, "-": 7,
"&": 8,
"<": 9, ">": 9, "G": 9, "L": 9, "N": 9
};
// Convert one-char token text to input text:
SocialCalc.Formula.TokenOpExpansion = {'G': '>=', 'L': '<=', 'M': '-', 'N': '<>', 'P': '+'};
//
// Information about the resulting value types when doing operations on values (used by LookupResultType)
//
// Each object entry is an object with specific types with result type info as follows:
//
// 'type1a': '|type2a:resulta|type2b:resultb|...
// Type of t* or n* matches any of those types not listed
// Results may be a type or the numbers 1 or 2 specifying to return type1 or type2
SocialCalc.Formula.TypeLookupTable = {
unaryminus: { 'n*': '|n*:1|', 'e*': '|e*:1|', 't*': '|t*:e#VALUE!|', 'b': '|b:n|'},
unaryplus: { 'n*': '|n*:1|', 'e*': '|e*:1|', 't*': '|t*:e#VALUE!|', 'b': '|b:n|'},
unarypercent: { 'n*': '|n:n%|n*:n|', 'e*': '|e*:1|', 't*': '|t*:e#VALUE!|', 'b': '|b:n|'},
plus: {
'n%': '|n%:n%|nd:n|nt:n|ndt:n|n$:n|n:n|n*:n|b:n|e*:2|t*:e#VALUE!|',
'nd': '|n%:n|nd:nd|nt:ndt|ndt:ndt|n$:n|n:nd|n*:n|b:n|e*:2|t*:e#VALUE!|',
'nt': '|n%:n|nd:ndt|nt:nt|ndt:ndt|n$:n|n:nt|n*:n|b:n|e*:2|t*:e#VALUE!|',
'ndt': '|n%:n|nd:ndt|nt:ndt|ndt:ndt|n$:n|n:ndt|n*:n|b:n|e*:2|t*:e#VALUE!|',
'n$': '|n%:n|nd:n|nt:n|ndt:n|n$:n$|n:n$|n*:n|b:n|e*:2|t*:e#VALUE!|',
'nl': '|n%:n|nd:n|nt:n|ndt:n|n$:n|n:n|n*:n|b:n|e*:2|t*:e#VALUE!|',
'n': '|n%:n|nd:nd|nt:nt|ndt:ndt|n$:n$|n:n|n*:n|b:n|e*:2|t*:e#VALUE!|',
'b': '|n%:n%|nd:nd|nt:nt|ndt:ndt|n$:n$|n:n|n*:n|b:n|e*:2|t*:e#VALUE!|',
't*': '|n*:e#VALUE!|t*:e#VALUE!|b:e#VALUE!|e*:2|',
'e*': '|e*:1|n*:1|t*:1|b:1|'
},
concat: {
't': '|t:t|th:th|tw:tw|tl:t|tr:tr|t*:2|e*:2|',
'th': '|t:th|th:th|tw:t|tl:th|tr:t|t*:t|e*:2|',
'tw': '|t:tw|th:t|tw:tw|tl:tw|tr:tw|t*:t|e*:2|',
'tl': '|t:tl|th:th|tw:tw|tl:tl|tr:tr|t*:t|e*:2|',
't*': '|t*:t|e*:2|',
'e*': '|e*:1|n*:1|t*:1|'
},
oneargnumeric: { 'n*': '|n*:n|', 'e*': '|e*:1|', 't*': '|t*:e#VALUE!|', 'b': '|b:n|'},
twoargnumeric: { 'n*': '|n*:n|t*:e#VALUE!|e*:2|', 'e*': '|e*:1|n*:1|t*:1|', 't*': '|t*:e#VALUE!|n*:e#VALUE!|e*:2|'},
propagateerror: { 'n*': '|n*:2|e*:2|', 'e*': '|e*:2|', 't*': '|t*:2|e*:2|', 'b': '|b:2|e*:2|'}
};
/* *******************
parseinfo = SocialCalc.Formula.ParseFormulaIntoTokens(line)
Parses a text string as if it was a spreadsheet formula
This uses a simple state machine run on each character in turn.
States remember whether a number is being gathered, etc.
The result is parseinfo which is an array with one entry for each token:
parseinfo[i] = {
text: "the characters making up the parsed token",
type: the type of the token (a number),
opcode: a single character version of an operator suitable for use in the
precedence table and distinguishing between unary and binary + and -.
************************* */
SocialCalc.Formula.ParseFormulaIntoTokens = function(line) {
var i, ch, cclass, haddecimal, last_token, last_token_type, last_token_text, t;
var scf = SocialCalc.Formula;
var scc = SocialCalc.Constants;
var parsestate = scf.ParseState;
var tokentype = scf.TokenType;
var charclass = scf.CharClass;
var charclasstable = scf.CharClassTable;
var uppercasetable = scf.UpperCaseTable; // much faster than toUpperCase function
var pushtoken = scf.ParsePushToken;
var coordregex = /^\$?[A-Z]{1,2}\$?[1-9]\d*$/i;
var parseinfo = [];
var str = "";
var state = 0;
var haddecimal = false;
for (i=0; i<=line.length; i++) {
if (i<line.length) {
ch = line.charAt(i);
cclass = charclasstable[ch];
}
else {
ch = "";
cclass = charclass.eof;
}
if (state == parsestate.num) {
if (cclass == charclass.num) {
str += ch;
}
else if (cclass == charclass.numstart && !haddecimal) {
haddecimal = true;
str += ch;
}
else if (ch == "E" || ch == "e") {
str += ch;
haddecimal = false;
state = parsestate.numexp1;
}
else { // end of number - save it
pushtoken(parseinfo, str, tokentype.num, 0);
haddecimal = false;
state = 0;
}
}
if (state == parsestate.numexp1) {
if (cclass == parsestate.num) {
state = parsestate.numexp2;
}
else if ((ch == '+' || ch == '-') && (uppercasetable[str.charAt(str.length-1)] == 'E')) {
str += ch;
}
else if (ch == 'E' || ch == 'e') {
;
}
else {
pushtoken(parseinfo, scc.s_parseerrexponent, tokentype.error, 0);
state = 0;
}
}
if (state == parsestate.numexp2) {
if (cclass == charclass.num) {
str += ch;
}
else { // end of number - save it
pushtoken(parseinfo, str, tokentype.num, 0);
state = 0;
}
}
if (state == parsestate.alpha) {
if (cclass == charclass.num) {
state = parsestate.coord;
}
else if (cclass == charclass.alpha || ch == ".") { // alpha may be letters, numbers, "_", or "."
str += ch;
}
else if (cclass == charclass.incoord) {
state = parsestate.coord;
}
else if (cclass == charclass.op || cclass == charclass.numstart
|| cclass == charclass.space || cclass == charclass.eof) {
pushtoken(parseinfo, str.toUpperCase(), tokentype.name, 0);
state = 0;
}
else {
pushtoken(parseinfo, scc.s_parseerrchar, tokentype.error, 0);
state = 0;
}
}
if (state == parsestate.coord) {
if (cclass == charclass.num) {
str += ch;
}
else if (cclass == charclass.incoord) {
str += ch;
}
else if (cclass == charclass.alpha) {
state = parsestate.alphanumeric;
}
else if (cclass == charclass.op || cclass == charclass.numstart ||
cclass == charclass.eof || cclass == charclass.space) {
if (coordregex.test(str)) {
t = tokentype.coord;
}
else {
t = tokentype.name;
}
pushtoken(parseinfo, str.toUpperCase(), t, 0);
state = 0;
}
else {
pushtoken(parseinfo, scc.s_parseerrchar, tokentype.error, 0);
state = 0;
}
}
if (state == parsestate.alphanumeric) {
if (cclass == charclass.num || cclass == charclass.alpha) {
str += ch;
}
else if (cclass == charclass.op || cclass == charclass.numstart
|| cclass == charclass.space || cclass == charclass.eof) {
pushtoken(parseinfo, str.toUpperCase(), tokentype.name, 0);
state = 0;
}
else {
pushtoken(parseinfo, scc.s_parseerrchar, tokentype.error, 0);
state = 0;
}
}
if (state == parsestate.string) {
if (cclass == charclass.quote) {
state = parsestate.stringquote; // got quote in string: is it doubled (quote in string) or by itself (end of string)?
}
else if (cclass == charclass.eof) {
pushtoken(parseinfo, scc.s_parseerrstring, tokentype.error, 0);
state = 0;
}
else {
str += ch;
}
}
else if (state == parsestate.stringquote) { // note else if here
if (cclass == charclass.quote) {
str += ch;
state = parsestate.string; // double quote: add one then continue getting string
}
else { // something else -- end of string
pushtoken(parseinfo, str, tokentype.string, 0);
state = 0; // drop through to process
}
}
else if (state == parsestate.specialvalue) { // special values like #REF!
if (str.charAt(str.length-1) == "!") { // done - save value as a name
pushtoken(parseinfo, str, tokentype.name, 0);
state = 0; // drop through to process
}
else if (cclass == charclass.eof) {
pushtoken(parseinfo, scc.s_parseerrspecialvalue, tokentype.error, 0);
state = 0;
}
else {
str += ch;
}
}
if (state == 0) {
if (cclass == charclass.num) {
str = ch;
state = parsestate.num;
}
else if (cclass == charclass.numstart) {
str = ch;
haddecimal = true;
state = parsestate.num;
}
else if (cclass == charclass.alpha || cclass == charclass.incoord) {
str = ch;
state = parsestate.alpha;
}
else if (cclass == charclass.specialstart) {
str = ch;
state = parsestate.specialvalue;
}
else if (cclass == charclass.op) {
str = ch;
if (parseinfo.length>0) {
last_token = parseinfo[parseinfo.length-1];
last_token_type = last_token.type;
last_token_text = last_token.text;
if (last_token_type == charclass.op) {
if (last_token_text == '<' || last_token_text == ">") {
str = last_token_text + str;
parseinfo.pop();
if (parseinfo.length>0) {
last_token = parseinfo[parseinfo.length-1];
last_token_type = last_token.type;
last_token_text = last_token.text;
}
else {
last_token_type = charclass.eof;
last_token_text = "EOF";
}
}
}
}
else {
last_token_type = charclass.eof;
last_token_text = "EOF";
}
t = tokentype.op;
if ((parseinfo.length == 0)
|| (last_token_type == charclass.op && last_token_text != ')' && last_token_text != '%')) { // Unary operator
if (str == '-') { // M is unary minus
str = "M";
ch = "M";
}
else if (str == '+') { // P is unary plus
str = "P";
ch = "P";
}
else if (str == ')' && last_token_text == '(') { // null arg list OK
;
}
else if (str != '(') { // binary-op open-paren OK, others no
t = tokentype.error;
str = scc.s_parseerrtwoops;
}
}
else if (str.length > 1) {
if (str == '>=') { // G is >=
str = "G";
ch = "G";
}
else if (str == '<=') { // L is <=
str = "L";
ch = "L";
}
else if (str == '<>') { // N is <>
str = "N";
ch = "N";
}
else {
t = tokentype.error;
str = scc.s_parseerrtwoops;
}
}
pushtoken(parseinfo, str, t, ch);
state = 0;
}
else if (cclass == charclass.quote) { // starting a string
str = "";
state = parsestate.string;
}
else if (cclass == charclass.space) { // store so can reconstruct spacing
//pushtoken(parseinfo, " ", tokentype.space, 0);
}
else if (cclass == charclass.eof) { // ignore -- needed to have extra loop to close out other things
}
else { // unknown class - such as unknown char
pushtoken(parseinfo, scc.s_parseerrchar, tokentype.error, 0);
}
}
}
return parseinfo;
}
SocialCalc.Formula.ParsePushToken = function(parseinfo, ttext, ttype, topcode) {
parseinfo.push({text: ttext, type: ttype, opcode: topcode});
}
/* *******************
result = SocialCalc.Formula.evaluate_parsed_formula(parseinfo, sheet, allowrangereturn)
Does the calculation expressed in a parsed formula, returning a value, its type, and error info
returns: {value: value, type: valuetype, error: errortext}.
If allowrangereturn is present and true, can return a range (e.g., "A1:A10" - translated from "A1|A10|")
************************* */
SocialCalc.Formula.evaluate_parsed_formula = function(parseinfo, sheet, allowrangereturn) {
var result;
var scf = SocialCalc.Formula;
var tokentype = scf.TokenType;
var revpolish;
var parsestack = [];
var errortext = "";
revpolish = scf.ConvertInfixToPolish(parseinfo); // result is either an array or a string with error text
result = scf.EvaluatePolish(parseinfo, revpolish, sheet, allowrangereturn);
return result;
}
//
// revpolish = SocialCalc.Formula.ConvertInfixToPolish(parseinfo)
//
// Convert infix to reverse polish notation
//
// Returns revpolish array with a sequence of references to tokens by number if successful.
// Errors return a string with the error.
//
// Based upon the algorithm shown in Wikipedia "Reverse Polish notation" article
// and then enhanced for additional spreadsheet things
//
SocialCalc.Formula.ConvertInfixToPolish = function(parseinfo) {
var scf = SocialCalc.Formula;
var scc = SocialCalc.Constants;
var tokentype = scf.TokenType;
var token_precedence = scf.TokenPrecedence;
var revpolish = [];
var parsestack = [];
var errortext = "";
var function_start = -1;
var i, pii, ttype, ttext, tprecedence, tstackprecedence;
for (i=0; i<parseinfo.length; i++) {
pii = parseinfo[i];
ttype = pii.type;
ttext = pii.text;
if (ttype == tokentype.num || ttype == tokentype.coord || ttype == tokentype.string) {
revpolish.push(i);
}
else if (ttype == tokentype.name) {
parsestack.push(i);
revpolish.push(function_start);
}
else if (ttype == tokentype.space) { // ignore
continue;
}
else if (ttext == ',') {
while (parsestack.length && parseinfo[parsestack[parsestack.length-1]].text != "(") {
revpolish.push(parsestack.pop());
}
if (parsestack.length == 0) { // no ( -- error
errortext = scc.s_parseerrmissingopenparen;
break;
}
}
else if (ttext == '(') {
parsestack.push(i);
}
else if (ttext == ')') {
while (parsestack.length && parseinfo[parsestack[parsestack.length-1]].text != "(") {
revpolish.push(parsestack.pop());
}
if (parsestack.length == 0) { // no ( -- error
errortext = scc.s_parseerrcloseparennoopen;
break;
}
parsestack.pop();
if (parsestack.length && parseinfo[parsestack[parsestack.length-1]].type == tokentype.name) {
revpolish.push(parsestack.pop());
}
}
else if (ttype == tokentype.op) {
if (parsestack.length && parseinfo[parsestack[parsestack.length-1]].type == tokentype.name) {
revpolish.push(parsestack.pop());
}
while (parsestack.length && parseinfo[parsestack[parsestack.length-1]].type == tokentype.op
&& parseinfo[parsestack[parsestack.length-1]].text != '(') {
tprecedence = token_precedence[pii.opcode];
tstackprecedence = token_precedence[parseinfo[parsestack[parsestack.length-1]].opcode];
if (tprecedence >= 0 && tprecedence < tstackprecedence) {
break;
}
else if (tprecedence < 0) {
tprecedence = -tprecedence;
if (tstackprecedence < 0) tstackprecedence = -tstackprecedence;
if (tprecedence <= tstackprecedence) {
break;
}
}
revpolish.push(parsestack.pop());
}
parsestack.push(i);
}
else if (ttype == tokentype.error) {
errortext = ttext;
break;
}
else {
errortext = "Internal error while processing parsed formula. ";
break;
}
}
while (parsestack.length>0) {
if (parseinfo[parsestack[parsestack.length-1]].text == '(') {
errortext = scc.s_parseerrmissingcloseparen;
break;
}
revpolish.push(parsestack.pop());
}
if (errortext) {
return errortext;
}
return revpolish;
}
//
// result = SocialCalc.Formula.EvaluatePolish(parseinfo, revpolish, sheet, allowrangereturn)
//
// Execute reverse polish representation of formula
//
// Operand values are objects in the operand array with a "type" and an optional "value".
// Type can have these values (many are type and sub-type as two or more letters):
// "tw", "th", "t", "n", "nt", "coord", "range", "start", "eErrorType", "b" (blank)
// The value of a coord is in the form A57 or A57!sheetname
// The value of a range is coord|coord|number where number starts at 0 and is
// the offset of the next item to fetch if you are going through the range one by one
// The number starts as a null string ("A1|B3|")
//
SocialCalc.Formula.EvaluatePolish = function(parseinfo, revpolish, sheet, allowrangereturn) {
var scf = SocialCalc.Formula;
var scc = SocialCalc.Constants;
var tokentype = scf.TokenType;
var lookup_result_type = scf.LookupResultType;
var typelookup = scf.TypeLookupTable;
var operand_as_number = scf.OperandAsNumber;
var operand_as_text = scf.OperandAsText;
var operand_value_and_type = scf.OperandValueAndType;
var operands_as_coord_on_sheet = scf.OperandsAsCoordOnSheet;
var format_number_for_display = SocialCalc.format_number_for_display || function(v, t, f) {return v+"";};
var errortext = "";
var function_start = -1;
var missingOperandError = {value: "", type: "e#VALUE!", error: scc.s_parseerrmissingoperand};
var operand = [];
var PushOperand = function(t, v) {operand.push({type: t, value: v});};
var i, rii, prii, ttype, ttext, value1, value2, tostype, tostype2, resulttype, valuetype, cond, vmatch, smatch;
if (!parseinfo.length || (! (revpolish instanceof Array))) {
return ({value: "", type: "e#VALUE!", error: (typeof revpolish == "string" ? revpolish : "")});
}
for (i=0; i<revpolish.length; i++) {
rii = revpolish[i];
if (rii == function_start) { // Remember the start of a function argument list
PushOperand("start", 0);
continue;
}
prii = parseinfo[rii];
ttype = prii.type;
ttext = prii.text;
if (ttype == tokentype.num) {
PushOperand("n", ttext-0);
}
else if (ttype == tokentype.coord) {
PushOperand("coord", ttext);
}
else if (ttype == tokentype.string) {
PushOperand("t", ttext);
}
else if (ttype == tokentype.op) {
if (operand.length <= 0) { // Nothing on the stack...
return missingOperandError;
break; // done
}
// Unary minus
if (ttext == 'M') {
value1 = operand_as_number(sheet, operand);
resulttype = lookup_result_type(value1.type, value1.type, typelookup.unaryminus);
PushOperand(resulttype, -value1.value);
}
// Unary plus
else if (ttext == 'P') {
value1 = operand_as_number(sheet, operand);
resulttype = lookup_result_type(value1.type, value1.type, typelookup.unaryplus);
PushOperand(resulttype, value1.value);
}
// Unary % - percent, left associative
else if (ttext == '%') {
value1 = operand_as_number(sheet, operand);
resulttype = lookup_result_type(value1.type, value1.type, typelookup.unarypercent);
PushOperand(resulttype, 0.01*value1.value);
}
// & - string concatenate
else if (ttext == '&') {
if (operand.length <= 1) { // Need at least two things on the stack...
return missingOperandError;
}
value2 = operand_as_text(sheet, operand);
value1 = operand_as_text(sheet, operand);
resulttype = lookup_result_type(value1.type, value1.type, typelookup.concat);
PushOperand(resulttype, value1.value + value2.value);
}
// : - Range constructor
else if (ttext == ':') {
if (operand.length <= 1) { // Need at least two things on the stack...
return missingOperandError;
}
value1 = scf.OperandsAsRangeOnSheet(sheet, operand); // get coords even if use name on other sheet
if (value1.error) { // not available
errortext = errortext || value1.error;
}
PushOperand(value1.type, value1.value); // push sheetname with range on that sheet
}
// ! - sheetname!coord
else if (ttext == '!') {
if (operand.length <= 1) { // Need at least two things on the stack...
return missingOperandError;
}
value1 = operands_as_coord_on_sheet(sheet, operand); // get coord even if name on other sheet
if (value1.error) { // not available
errortext = errortext || value1.error;
}
PushOperand(value1.type, value1.value); // push sheetname with coord or range on that sheet
}
// Comparison operators: < L = G > N (< <= = >= > <>)
else if (ttext == "<" || ttext == "L" || ttext == "=" || ttext == "G" || ttext == ">" || ttext == "N") {
if (operand.length <= 1) { // Need at least two things on the stack...
errortext = scc.s_parseerrmissingoperand; // remember error
break;
}
value2 = operand_value_and_type(sheet, operand);
value1 = operand_value_and_type(sheet, operand);
if (value1.type.charAt(0) == "n" && value2.type.charAt(0) == "n") { // compare two numbers
cond = 0;
if (ttext == "<") { cond = value1.value < value2.value ? 1 : 0; }
else if (ttext == "L") { cond = value1.value <= value2.value ? 1 : 0; }
else if (ttext == "=") { cond = value1.value == value2.value ? 1 : 0; }
else if (ttext == "G") { cond = value1.value >= value2.value ? 1 : 0; }
else if (ttext == ">") { cond = value1.value > value2.value ? 1 : 0; }
else if (ttext == "N") { cond = value1.value != value2.value ? 1 : 0; }
PushOperand("nl", cond);
}
else if (value1.type.charAt(0) == "e") { // error on left
PushOperand(value1.type, 0);
}
else if (value2.type.charAt(0) == "e") { // error on right
PushOperand(value2.type, 0);
}
else { // text maybe mixed with numbers or blank
tostype = value1.type.charAt(0);
tostype2 = value2.type.charAt(0);
if (tostype == "n") {
value1.value = format_number_for_display(value1.value, "n", "");
}
else if (tostype == "b") {
value1.value = "";
}
if (tostype2 == "n") {
value2.value = format_number_for_display(value2.value, "n", "");
}
else if (tostype2 == "b") {
value2.value = "";
}
cond = 0;
value1.value = value1.value.toLowerCase(); // ignore case
value2.value = value2.value.toLowerCase();
if (ttext == "<") { cond = value1.value < value2.value ? 1 : 0; }
else if (ttext == "L") { cond = value1.value <= value2.value ? 1 : 0; }
else if (ttext == "=") { cond = value1.value == value2.value ? 1 : 0; }
else if (ttext == "G") { cond = value1.value >= value2.value ? 1 : 0; }
else if (ttext == ">") { cond = value1.value > value2.value ? 1 : 0; }
else if (ttext == "N") { cond = value1.value != value2.value ? 1 : 0; }
PushOperand("nl", cond);
}
}
// Normal infix arithmethic operators: +, -. *, /, ^
else { // what's left are the normal infix arithmetic operators
if (operand.length <= 1) { // Need at least two things on the stack...
errortext = scc.s_parseerrmissingoperand; // remember error
break;
}
value2 = operand_as_number(sheet, operand);
value1 = operand_as_number(sheet, operand);
if (ttext == '+') {
resulttype = lookup_result_type(value1.type, value2.type, typelookup.plus);
PushOperand(resulttype, value1.value + value2.value);
}
else if (ttext == '-') {
resulttype = lookup_result_type(value1.type, value2.type, typelookup.plus);
PushOperand(resulttype, value1.value - value2.value);
}
else if (ttext == '*') {
resulttype = lookup_result_type(value1.type, value2.type, typelookup.plus);
PushOperand(resulttype, value1.value * value2.value);
}
else if (ttext == '/') {
if (value2.value != 0) {
PushOperand("n", value1.value / value2.value); // gives plain numeric result type
}
else {
PushOperand("e#DIV/0!", 0);
}
}
else if (ttext == '^') {
value1.value = Math.pow(value1.value, value2.value);
value1.type = "n"; // gives plain numeric result type
if (isNaN(value1.value)) {
value1.value = 0;
value1.type = "e#NUM!";
}
PushOperand(value1.type, value1.value);
}
}
}
// function or name
else if (ttype == tokentype.name) {
errortext = scf.CalculateFunction(ttext, operand, sheet);
if (errortext) break;
}
else {
errortext = scc.s_InternalError+"Unknown token "+ttype+" ("+ttext+"). ";
break;
}
}
// look at final value and handle special cases
value = operand[0] ? operand[0].value : "";
tostype = operand[0] ? operand[0].type : "";
if (tostype == "name") { // name - expand it
value1 = SocialCalc.Formula.LookupName(sheet, value);
value = value1.value;
tostype = value1.type;
errortext = errortext || value1.error;
}
if (tostype == "coord") { // the value is a coord reference, get its value and type
value1 = operand_value_and_type(sheet, operand);
value = value1.value;
tostype = value1.type;
if (tostype == "b") {
tostype = "n";
value = 0;
}
}
if (operand.length > 1 && !errortext) { // something left - error
errortext += scc.s_parseerrerrorinformula;
}
// set return type
valuetype = tostype;
if (tostype.charAt(0) == "e") { // error value
errortext = errortext || tostype.substring(1) || scc.s_calcerrerrorvalueinformula;
}
else if (tostype == "range") {
vmatch = value.match(/^(.*)\|(.*)\|/);
smatch = vmatch[1].indexOf("!");
if (smatch>=0) { // swap sheetname
vmatch[1] = vmatch[1].substring(smatch+1) + "!" + vmatch[1].substring(0, smatch).toUpperCase();
}
else {
vmatch[1] = vmatch[1].toUpperCase();
}
value = vmatch[1] + ":" + vmatch[2].toUpperCase();
if (!allowrangereturn) {
errortext = scc.s_formularangeresult+" "+value;
}
}
if (errortext && valuetype.charAt(0) != "e") {
value = errortext;
valuetype = "e";
}
// look for overflow
if (valuetype.charAt(0) == "n" && (isNaN(value) || !isFinite(value))) {
value = 0;
valuetype = "e#NUM!";
errortext = isNaN(value) ? scc.s_calcerrnumericnan: scc.s_calcerrnumericoverflow;
}
return ({value: value, type: valuetype, error: errortext});
}
/*
#
# resulttype = SocialCalc.Formula.LookupResultType(type1, type2, typelookup);
#
# typelookup has values of the following form:
#
# typelookup{"typespec1"} = "|typespec2A:resultA|typespec2B:resultB|..."
#
# First type1 is looked up. If no match, then the first letter (major type) of type1 plus "*" is looked up
# resulttype is type1 if result is "1", type2 if result is "2", otherwise the value of result.
#
*/
SocialCalc.Formula.LookupResultType = function(type1, type2, typelookup) {
var pos1, pos2, result;
var table1 = typelookup[type1];
if (!table1) {
table1 = typelookup[type1.charAt(0)+'*'];
if (!table1) {
return "e#VALUE! (internal error, missing LookupResultType "+type1.charAt(0)+"*)"; // missing from table -- please add it
}
}
pos1 = table1.indexOf("|"+type2+":");
if (pos1 >= 0) {
pos2 = table1.indexOf("|", pos1+1);
if (pos2<0) return "e#VALUE! (internal error, incorrect LookupResultType "+table1+")";
result = table1.substring(pos1+type2.length+2, pos2);
if (result == "1") return type1;
if (result == "2") return type2;
return result;
}
pos1 = table1.indexOf("|"+type2.charAt(0)+"*:");
if (pos1 >= 0) {
pos2 = table1.indexOf("|", pos1+1);
if (pos2<0) return "e#VALUE! (internal error, incorrect LookupResultType "+table1+")";
result = table1.substring(pos1+4, pos2);
if (result == "1") return type1;
if (result == "2") return type2;
return result;
}
return "e#VALUE!";
}
/*
#
# operandinfo = SocialCalc.Formula.TopOfStackValueAndType(sheet, operand)
#
# Returns top of stack value and type and then pops the stack.
# The result is {value: value, type: type, error: "only if bad error"}
#
*/
SocialCalc.Formula.TopOfStackValueAndType = function(sheet, operand) {
var cellvtype, cell, pos, coordsheet;
var scf = SocialCalc.Formula;
var result = {type: "", value: ""};
var stacklen = operand.length;
if (!stacklen) { // make sure something is there
result.error = SocialCalc.Constants.s_InternalError+"no operand on stack";
return result;
}
result.value = operand[stacklen-1].value; // get top of stack
result.type = operand[stacklen-1].type;
operand.pop(); // we have data - pop stack
if (result.type == "name") {
result = scf.LookupName(sheet, result.value);
}
return result;
}
/*
#
# operandinfo = OperandAsNumber(sheet, operand)
#
# Uses operand_value_and_type to get top of stack and pops it.
# Returns numeric value and type.
# Text values are treated as 0 if they can't be converted somehow.
#
*/
SocialCalc.Formula.OperandAsNumber = function(sheet, operand) {
var t, valueinfo;
var operandinfo = SocialCalc.Formula.OperandValueAndType(sheet, operand);
t = operandinfo.type.charAt(0);
if (t == "n") {
operandinfo.value = operandinfo.value-0;
}
else if (t == "b") { // blank cell
operandinfo.type = "n";
operandinfo.value = 0;
}
else if (t == "e") { // error
operandinfo.value = 0;
}
else {
valueinfo = SocialCalc.DetermineValueType ? SocialCalc.DetermineValueType(operandinfo.value) :
{value: operandinfo.value-0, type: "n"}; // if without rest of SocialCalc
if (valueinfo.type.charAt(0) == "n") {
operandinfo.value = valueinfo.value-0;
operandinfo.type = valueinfo.type;
}