Efficient and reliable computation of results for mathematical functions

A method for efficient computation of results for mathematical functions, the method comprising:

• receiving, by use of a processor, a mathematical function call, the call comprising a plurality of arguments for which a range of computable results for the mathematical function of the function call varies with respect to the values for the arguments;
• determining whether executing the mathematical function using the plurality of arguments will produce a result within the range of computable results;
• aborting the mathematical function call prior to initiating execution of the mathematical function in response to determining that the values for the plurality of arguments produce a result outside the range of computable results;
• wherein the plurality of arguments comprise a first argument value and a second argument value and the range of computable results defines at least one boundary value for the second argument value, the boundary value varying as the first argument value varies;
• and
• reading a first value associated with a first argument of the mathematical function and a second value associated with a second argument;
• retrieving a boundary value from a repository of predefined boundary values defined for the mathematical function over a domain of the first argument, the boundary value retrieved using the first value;
• and
• determining whether the second value satisfies the boundary value.