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Hypot is a mathematical function defined to calculate the length of the hypotenuse of a right-angle triangle. It was designed to avoid errors arising due to limited-precision calculations performed on computers. ==Motivation and usage== Calculating the length of the hypotenuse of a triangle is possible using the square root function on the sum of two squares, but hypot(''x'', ''y'') avoids problems that occur when squaring very large or very small numbers. The magnitude of the hypotenuse from (0, 0) to (''x'', ''y'') can be calculated using: : This operation is also known as Pythagorean addition. However the squares of very large or small values of ''x'' and ''y'' may exceed the range of machine precision when calculated on a computer, leading to an inaccurate result caused by arithmetic underflow and/or arithmetic overflow. The hypot function was designed to calculate the result without causing this problem. The hypot function is often used together with the atan2 function to convert from Cartesian coordinates to polar coordinates: : ''r'' = hypot(''x'', ''y'') ''θ'' = atan2(''y'', ''x'') 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hypot」の詳細全文を読む スポンサード リンク
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