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Formula without apparent conditional construct: $\operatorname {atan2} (y,x)=\lim _{z\to x^{+}}\arctan \left({\frac {y}{z}}\right)+{\frac {\pi }{2}}\operatorname {sgn}(x)\operatorname {sgn}(y)\left(\operatorname {sgn}(x)-1\right)$

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	Formula without apparent [[Conditional (computer programming)\|conditional construct]]:		Formula without apparent [[Conditional (computer programming)\|conditional construct]]:
	<math display="block"> \operatorname{atan2}(y, x) = \lim_{z \to x^+}\arctan\left(\frac{y}{z}\right) + \frac{\pi}2\sgn(y)\sgn(x)\left(\sgn(x)-1\right) </math>		<math display="block"> \operatorname{atan2}(y, x) = \lim_{z \to x^+}\arctan\left(\frac{y}{z}\right) + \frac{\pi}2\sgn(x)\sgn(y)\left(\sgn(x)-1\right) </math>