You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "is_valid_palindrome", "description": "Checks if a string is a valid palindrome, considering only alphanumeric characters and ignoring case.", "parameters": {"s": {"description": "The input string.", "type": "str"}}}, {"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}, {"name": "is_power_of_two", "description": "Checks if a number is a power of two.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}, {"name": "cell_density", "description": "Calculates the cell density based on the optical density (OD) and dilution factor.", "parameters": {"od": {"description": "The optical density of the sample.", "type": "float", "default": 1000000000.0}, "dilution": {"description": "The dilution factor applied to the sample.", "type": "int", "default": 1000000000.0}, "factor": {"description": "The calibration factor for converting OD to cell density. Defaults to 1e9.", "type": "float, optional"}}}, {"name": "factorial", "description": "Computes the factorial of a non-negative integer.", "parameters": {"n": {"description": "The non-negative integer to compute the factorial of.", "type": "int"}}}]
Calculate the cell density based on the optical density of 0.5, dilution factor of 10, and a calibration factor of 1e9.
user
assistant
[{"name": "cell_density", "arguments": {"od": 0.5, "dilution": 10, "factor": 1000000000.0}}]