\[\lambda_1 + \tan^{-1}_* \frac{\left(\sin theta \cdot \sin delta\right) \cdot \cos \phi_1}{\cos delta - \sin \phi_1 \cdot \sin \sin^{-1} \left(\sin \phi_1 \cdot \cos delta + \left(\cos \phi_1 \cdot \sin delta\right) \cdot \cos theta\right)}
\]
↓
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \left(\cos \phi_1 \cdot \cos theta\right)\right)}
\]
(FPCore (lambda1 phi1 phi2 delta theta)
:precision binary64
(+
lambda1
(atan2
(* (* (sin theta) (sin delta)) (cos phi1))
(-
(cos delta)
(*
(sin phi1)
(sin
(asin
(+
(* (sin phi1) (cos delta))
(* (* (cos phi1) (sin delta)) (cos theta))))))))))↓
(FPCore (lambda1 phi1 phi2 delta theta)
:precision binary64
(+
lambda1
(atan2
(* (sin delta) (* (cos phi1) (sin theta)))
(-
(cos delta)
(*
(sin phi1)
(+
(* (cos delta) (sin phi1))
(* (sin delta) (* (cos phi1) (cos theta)))))))))double code(double lambda1, double phi1, double phi2, double delta, double theta) {
return lambda1 + atan2(((sin(theta) * sin(delta)) * cos(phi1)), (cos(delta) - (sin(phi1) * sin(asin(((sin(phi1) * cos(delta)) + ((cos(phi1) * sin(delta)) * cos(theta))))))));
}
↓
double code(double lambda1, double phi1, double phi2, double delta, double theta) {
return lambda1 + atan2((sin(delta) * (cos(phi1) * sin(theta))), (cos(delta) - (sin(phi1) * ((cos(delta) * sin(phi1)) + (sin(delta) * (cos(phi1) * cos(theta)))))));
}
real(8) function code(lambda1, phi1, phi2, delta, theta)
real(8), intent (in) :: lambda1
real(8), intent (in) :: phi1
real(8), intent (in) :: phi2
real(8), intent (in) :: delta
real(8), intent (in) :: theta
code = lambda1 + atan2(((sin(theta) * sin(delta)) * cos(phi1)), (cos(delta) - (sin(phi1) * sin(asin(((sin(phi1) * cos(delta)) + ((cos(phi1) * sin(delta)) * cos(theta))))))))
end function
↓
real(8) function code(lambda1, phi1, phi2, delta, theta)
real(8), intent (in) :: lambda1
real(8), intent (in) :: phi1
real(8), intent (in) :: phi2
real(8), intent (in) :: delta
real(8), intent (in) :: theta
code = lambda1 + atan2((sin(delta) * (cos(phi1) * sin(theta))), (cos(delta) - (sin(phi1) * ((cos(delta) * sin(phi1)) + (sin(delta) * (cos(phi1) * cos(theta)))))))
end function
public static double code(double lambda1, double phi1, double phi2, double delta, double theta) {
return lambda1 + Math.atan2(((Math.sin(theta) * Math.sin(delta)) * Math.cos(phi1)), (Math.cos(delta) - (Math.sin(phi1) * Math.sin(Math.asin(((Math.sin(phi1) * Math.cos(delta)) + ((Math.cos(phi1) * Math.sin(delta)) * Math.cos(theta))))))));
}
↓
public static double code(double lambda1, double phi1, double phi2, double delta, double theta) {
return lambda1 + Math.atan2((Math.sin(delta) * (Math.cos(phi1) * Math.sin(theta))), (Math.cos(delta) - (Math.sin(phi1) * ((Math.cos(delta) * Math.sin(phi1)) + (Math.sin(delta) * (Math.cos(phi1) * Math.cos(theta)))))));
}
def code(lambda1, phi1, phi2, delta, theta):
return lambda1 + math.atan2(((math.sin(theta) * math.sin(delta)) * math.cos(phi1)), (math.cos(delta) - (math.sin(phi1) * math.sin(math.asin(((math.sin(phi1) * math.cos(delta)) + ((math.cos(phi1) * math.sin(delta)) * math.cos(theta))))))))
↓
def code(lambda1, phi1, phi2, delta, theta):
return lambda1 + math.atan2((math.sin(delta) * (math.cos(phi1) * math.sin(theta))), (math.cos(delta) - (math.sin(phi1) * ((math.cos(delta) * math.sin(phi1)) + (math.sin(delta) * (math.cos(phi1) * math.cos(theta)))))))
function code(lambda1, phi1, phi2, delta, theta)
return Float64(lambda1 + atan(Float64(Float64(sin(theta) * sin(delta)) * cos(phi1)), Float64(cos(delta) - Float64(sin(phi1) * sin(asin(Float64(Float64(sin(phi1) * cos(delta)) + Float64(Float64(cos(phi1) * sin(delta)) * cos(theta)))))))))
end
↓
function code(lambda1, phi1, phi2, delta, theta)
return Float64(lambda1 + atan(Float64(sin(delta) * Float64(cos(phi1) * sin(theta))), Float64(cos(delta) - Float64(sin(phi1) * Float64(Float64(cos(delta) * sin(phi1)) + Float64(sin(delta) * Float64(cos(phi1) * cos(theta))))))))
end
function tmp = code(lambda1, phi1, phi2, delta, theta)
tmp = lambda1 + atan2(((sin(theta) * sin(delta)) * cos(phi1)), (cos(delta) - (sin(phi1) * sin(asin(((sin(phi1) * cos(delta)) + ((cos(phi1) * sin(delta)) * cos(theta))))))));
end
↓
function tmp = code(lambda1, phi1, phi2, delta, theta)
tmp = lambda1 + atan2((sin(delta) * (cos(phi1) * sin(theta))), (cos(delta) - (sin(phi1) * ((cos(delta) * sin(phi1)) + (sin(delta) * (cos(phi1) * cos(theta)))))));
end
code[lambda1_, phi1_, phi2_, delta_, theta_] := N[(lambda1 + N[ArcTan[N[(N[(N[Sin[theta], $MachinePrecision] * N[Sin[delta], $MachinePrecision]), $MachinePrecision] * N[Cos[phi1], $MachinePrecision]), $MachinePrecision] / N[(N[Cos[delta], $MachinePrecision] - N[(N[Sin[phi1], $MachinePrecision] * N[Sin[N[ArcSin[N[(N[(N[Sin[phi1], $MachinePrecision] * N[Cos[delta], $MachinePrecision]), $MachinePrecision] + N[(N[(N[Cos[phi1], $MachinePrecision] * N[Sin[delta], $MachinePrecision]), $MachinePrecision] * N[Cos[theta], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]
↓
code[lambda1_, phi1_, phi2_, delta_, theta_] := N[(lambda1 + N[ArcTan[N[(N[Sin[delta], $MachinePrecision] * N[(N[Cos[phi1], $MachinePrecision] * N[Sin[theta], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(N[Cos[delta], $MachinePrecision] - N[(N[Sin[phi1], $MachinePrecision] * N[(N[(N[Cos[delta], $MachinePrecision] * N[Sin[phi1], $MachinePrecision]), $MachinePrecision] + N[(N[Sin[delta], $MachinePrecision] * N[(N[Cos[phi1], $MachinePrecision] * N[Cos[theta], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]
\lambda_1 + \tan^{-1}_* \frac{\left(\sin theta \cdot \sin delta\right) \cdot \cos \phi_1}{\cos delta - \sin \phi_1 \cdot \sin \sin^{-1} \left(\sin \phi_1 \cdot \cos delta + \left(\cos \phi_1 \cdot \sin delta\right) \cdot \cos theta\right)}
↓
\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \left(\cos \phi_1 \cdot \cos theta\right)\right)}
Alternatives
| Alternative 1 |
|---|
| Error | 0.2 |
|---|
| Cost | 71680 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \left(\cos \phi_1 \cdot \cos theta\right)\right)}
\]
| Alternative 2 |
|---|
| Error | 4.8 |
|---|
| Cost | 65152 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \cos theta\right)}
\]
| Alternative 3 |
|---|
| Error | 3.3 |
|---|
| Cost | 65152 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \cos \phi_1\right)}
\]
| Alternative 4 |
|---|
| Error | 3.3 |
|---|
| Cost | 65152 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta - \sin \phi_1 \cdot \left(\cos delta \cdot \sin \phi_1 + \sin delta \cdot \cos \phi_1\right)}
\]
| Alternative 5 |
|---|
| Error | 4.7 |
|---|
| Cost | 45504 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta - {\sin \phi_1}^{2}}
\]
| Alternative 6 |
|---|
| Error | 5.8 |
|---|
| Cost | 39432 |
|---|
\[\begin{array}{l}
t_1 := \cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)\\
\mathbf{if}\;delta \leq -54684795624669.94:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{t_1}{\cos delta}\\
\mathbf{elif}\;delta \leq 25637553.186348233:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{t_1}{{\cos \phi_1}^{2}}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{t_1}{\cos delta - \sin delta \cdot \phi_1}\\
\end{array}
\]
| Alternative 7 |
|---|
| Error | 4.7 |
|---|
| Cost | 39424 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta + \left(0.5 \cdot \cos \left(\phi_1 \cdot 2\right) + -0.5\right)}
\]
| Alternative 8 |
|---|
| Error | 5.2 |
|---|
| Cost | 39240 |
|---|
\[\begin{array}{l}
t_1 := \cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)\\
t_2 := \lambda_1 + \tan^{-1}_* \frac{t_1}{\cos delta}\\
\mathbf{if}\;delta \leq -54684795624669.94:\\
\;\;\;\;t_2\\
\mathbf{elif}\;delta \leq 25637553.186348233:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{t_1}{{\cos \phi_1}^{2}}\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
| Alternative 9 |
|---|
| Error | 7.0 |
|---|
| Cost | 32512 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta}
\]
| Alternative 10 |
|---|
| Error | 7.9 |
|---|
| Cost | 26376 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \sin theta}{\cos delta}\\
\mathbf{if}\;theta \leq -4.521758005331006 \cdot 10^{+34}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;theta \leq 3.399711662295378 \cdot 10^{-27}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot theta\right)}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 11 |
|---|
| Error | 8.3 |
|---|
| Cost | 25984 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \sin theta}{\cos delta}
\]
| Alternative 12 |
|---|
| Error | 15.4 |
|---|
| Cost | 19848 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot theta}{\cos delta}\\
\mathbf{if}\;delta \leq -1.706779388027338 \cdot 10^{-175}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;delta \leq 845369582209337.5:\\
\;\;\;\;\lambda_1\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 13 |
|---|
| Error | 12.4 |
|---|
| Cost | 19848 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{delta \cdot \sin theta}{\cos delta}\\
\mathbf{if}\;theta \leq -4.521758005331006 \cdot 10^{+34}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;theta \leq 52.91527608822937:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 14 |
|---|
| Error | 18.8 |
|---|
| Cost | 19720 |
|---|
\[\begin{array}{l}
\mathbf{if}\;\lambda_1 \leq -6.840762319950095 \cdot 10^{-246}:\\
\;\;\;\;\lambda_1\\
\mathbf{elif}\;\lambda_1 \leq 4.881169527259161 \cdot 10^{-279}:\\
\;\;\;\;\tan^{-1}_* \frac{\sin delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1\\
\end{array}
\]
| Alternative 15 |
|---|
| Error | 19.0 |
|---|
| Cost | 64 |
|---|
\[\lambda_1
\]
