Jak počítá kalkulačka sinus?
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Tato bakalářská práce se zabývá aproximací a interpolací funkce sinus. V teoretické části se naučíme sestrojit Taylorův polynom. Lagrangeův a Newtonův polynom budeme sestrojovat ve vlastních nebo ekvidistantních uzlech a dále v kořenech Čebyševova polynomu. Vysvětlíme, co je systém CORDIC. Ve druhé části spočítáme jednotlivé polynomy pro konkrétní úhly. Porovnáme jednotlivé polynomy co do přesnosti, tak i co do náročnosti výpočtů.
This bachelor thesis deals with the approximation and interpolation of the sine function. In the theoretical part we will learn to construct a Taylor polynomial. We will construct the Lagrange and Newton polynomials in eigenvalues or equidistant nodes and also in the roots of the Chebyshev polynomial. We will explain what the CORDIC system is. In the second part we calculate individual polynomials for specific angles. We will compare individual polynomials in terms of accuracy as well as in terms of complexity of calculations.
This bachelor thesis deals with the approximation and interpolation of the sine function. In the theoretical part we will learn to construct a Taylor polynomial. We will construct the Lagrange and Newton polynomials in eigenvalues or equidistant nodes and also in the roots of the Chebyshev polynomial. We will explain what the CORDIC system is. In the second part we calculate individual polynomials for specific angles. We will compare individual polynomials in terms of accuracy as well as in terms of complexity of calculations.
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aproximace, Taylorův polynom, Lagrangeův polynom, Newtonův polynom, CORDIC, approximation, Taylor polynomial, Lagrange polynomial, Newton polynomial, CORDIC