mathematics, the function atan2 is the 2-argument arctangent. By definition, θ = atan2 ⁡ ( y , x ) {\displaystyle \theta =\operatorname {atan2} (y,x)} is the angle...

method that uses a solar azimuth formula based on the subsolar point and the atan2 function, as defined in Fortran 90, that gives an unambiguous solution without...

the atan2 function. Taking the derivative yields the following formula for the total derivative: d θ = ∂ x ( atan2 ⁡ ( y , x ) ) d x + ∂ y ( atan2 ⁡ (...

(cartographical coordinates): α = 180 π atan2 ⁡ ( X 2 − X 1 , Y 2 − Y 1 ) {\displaystyle \alpha ={\frac {180}{\pi }}\operatorname {atan2} (X_{2}-X_{1},Y_{2}-Y_{1})}...

[ atan2 ( 2 ( q w q x + q y q z ) , 1 − 2 ( q x 2 + q y 2 ) ) − π / 2 + 2 atan2 ( 1 + 2 ( q w q y − q x q z ) , 1 − 2 ( q w q y − q x q z ) ) atan2 (...

function, atan2: Arg ⁡ ( x + i y ) = atan2 ⁡ ( y , x ) {\displaystyle \operatorname {Arg} (x+iy)=\operatorname {atan2} (y,\,x)} . The atan2 function is...

mean using the atan2 variant of the arctangent function is α ¯ = atan2 ⁡ ( 1 n ∑ j = 1 n sin ⁡ α j , 1 n ∑ j = 1 n cos ⁡ α j ) = atan2 ⁡ ( ∑ j = 1 n sin...

{atan2} (b^{*},a^{*}),} while, analogously, in CIELUV h u v = a t a n 2 ( v ∗ , u ∗ ) = a t a n 2 ( v ′ , u ′ ) , {\displaystyle h_{uv}=\mathrm {atan2}...

\end{aligned}}} where ⁠ atan2 ⁡ ( y , x ) {\displaystyle \operatorname {atan2} (y,x)} ⁠ is the two-argument arctangent. Using atan2 ensures that the correct...

atan2, φ = atan2 ⁡ ( u 2 ⋅ ( ( u 1 × u 2 ) × ( u 2 × u 3 ) ) , | u 2 | ( u 1 × u 2 ) ⋅ ( u 2 × u 3 ) ) . {\displaystyle \varphi =\operatorname {atan2}...

vertical edge which is lighter on the right side (for atan2 {\displaystyle \operatorname {atan2} } see atan2). Since the intensity function of a digital image...

\pi ]} For example, many computing systems include an atan2(y, x) function. The value of atan2(imaginary_part(z), real_part(z)) will be in the interval...

) φ = atan2 ⁡ ( y , x ) , {\displaystyle {\begin{aligned}r&={\sqrt {x^{2}+y^{2}}}=\operatorname {hypot} (x,y)\\\varphi &=\operatorname {atan2} (y,x)...

} h 1 ′ = atan2 ( b 1 ∗ , a 1 ′ ) mod 360 ∘ , h 2 ′ = atan2 ( b 2 ∗ , a 2 ′ ) mod 360 ∘ {\displaystyle h_{1}^{\prime }={\text{atan2}}(b_{1}^{*},a_{1}^{\prime...

if ($2<0){ return -PI/2 } else { print "atan2 domain error" return 0 } } atan2(2,3) 0.982794 atan2(0,0) atan2 domain error 0.0 Kernighan, Brian W.; Pike...

of the rotation angle uses the atan2 function: θ = 2 atan2 ⁡ ( | v | , r ) , {\displaystyle \theta =2\operatorname {atan2} (|\mathbf {v} |,r)\,,} where...

1 2 , φ 1 = atan2 ⁡ ( x n 2 + x n − 1 2 + ⋯ + x 2 2 , x 1 ) , φ 2 = atan2 ⁡ ( x n 2 + x n − 1 2 + ⋯ + x 3 2 , x 2 ) , ⋮ φ n − 2 = atan2 ⁡ ( x n 2 + x...

two-dimensional case: ω = a t a n 2 ( e y , e x ) {\displaystyle \omega =\mathrm {atan2} \left(e_{y},e_{x}\right)} If the orbit is clockwise (i.e. (r × v)z < 0)...

and h are mutually involved through N: λ = atan2 ⁡ ( Y , X ) {\displaystyle \lambda =\operatorname {atan2} (Y,X)} . h = p cos ⁡ ϕ − N , {\displaystyle...

z ) = atan2 ⁡ ( b , a ) + 2 π k {\displaystyle \operatorname {Im} (\log z)=\operatorname {atan2} (b,a)+2\pi k} where k is any integer and atan2 continues...

{(u^{*})^{2}+(v^{*})^{2}}},} h u v = atan2 ⁡ ( v ∗ , u ∗ ) , {\displaystyle h_{uv}=\operatorname {atan2} (v^{*},u^{*}),} where atan2 function, a "two-argument arctangent"...

The two-argument atan2 function computes the arctangent of y / x given y and x, but with a range of (−π, π]. In other words, atan2(y, x) is the angle...

C_{ab}^{*}={\sqrt {a^{*2}+b^{*2}}}} h a b = atan2 ⁡ ( b ⋆ , a ⋆ ) {\displaystyle h_{ab}=\operatorname {atan2} \left({b^{\star }},{a^{\star }}\right)} and...

and the projection of the radial vector onto the xy-plane. The function atan2(y, x) can be used instead of the mathematical function arctan(y/x) owing...

application and extension of a formula based on the subsolar point and atan2 function. Renewable Energy, 172, 1333-1340. DOI: https://doi.org/10.1016/j...

application and extension of a formula based on the subsolar point and atan2 function. Renewable Energy, 172, 1333-1340. DOI: https://doi.org/10.1016/j...

_{x}}^{2}+{\mathbf {G} _{y}}^{2}}}} Θ = atan2 ⁡ ( G y , G x ) {\displaystyle \mathbf {\Theta } =\operatorname {atan2} \left(\mathbf {G} _{y},\mathbf {G} _{x}\right)}...

{\displaystyle (-\pi ,\pi ]} , which is expressed as atan2 ⁡ ( y , x ) {\displaystyle \operatorname {atan2} (y,x)} . This leads to the following formula for...

using atan2(y, x). For example, in the case of proper Euler angles: α = atan2 ⁡ ( Z 1 , − Z 2 ) , {\displaystyle \alpha =\operatorname {atan2} (Z_{1}...

explicit solution using the atan2(y, x) function will be valid for − π < γ 1 < π {\displaystyle -\pi <\gamma _{1}<\pi } : γ 2 = atan2 ⁡ ( sin ⁡ γ 1 , cos ⁡...