Split a infix String to an array of String in java -

i working on mini scientific calculator works on infix postfix algorithm. input infix string .. , infix postfix conversion logic requires array of string. how can split infix string this:

 100+(0.03*55)/45-(25+55) 

to array of string in each operand , operator array element.

 "100" , "+" , "(" , "0.03" , "*" , "55" , ")" , "/" , "45" , "-" 

and on...

note there no space in string can't split on basis of regex " ".

here's algorithm use:

start empty string array, , empty string buffer

• walk character 0 character n
• for current character determine type (digit/period, open paren, close paren, math operators)
• if current character type same last character type
• add current character buffer
• if not same, put buffer array of string, , start new buffer