\[\lambda_1 + \tan^{-1}_* \frac{\left(\sin theta \cdot \sin delta\right) \cdot \cos \phi_1}{\cos delta - \sin \phi_1 \cdot \sin \sin^{-1} \left(\sin \phi_1 \cdot \cos delta + \left(\cos \phi_1 \cdot \sin delta\right) \cdot \cos theta\right)}
\]
↓
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\left(\cos \phi_1 \cdot \cos \phi_1\right) \cdot \cos delta - \sin \phi_1 \cdot \left(\sin delta \cdot \left(\cos \phi_1 \cdot \cos theta\right)\right)}
\]
(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 phi1) (cos 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(phi1) * cos(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(phi1) * cos(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(phi1) * Math.cos(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(phi1) * math.cos(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(Float64(Float64(cos(phi1) * cos(phi1)) * cos(delta)) - Float64(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(phi1) * cos(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[(N[(N[Cos[phi1], $MachinePrecision] * N[Cos[phi1], $MachinePrecision]), $MachinePrecision] * N[Cos[delta], $MachinePrecision]), $MachinePrecision] - N[(N[Sin[phi1], $MachinePrecision] * N[(N[Sin[delta], $MachinePrecision] * N[(N[Cos[phi1], $MachinePrecision] * N[Cos[theta], $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)}{\left(\cos \phi_1 \cdot \cos \phi_1\right) \cdot \cos delta - \sin \phi_1 \cdot \left(\sin delta \cdot \left(\cos \phi_1 \cdot \cos theta\right)\right)}
Alternatives
| Alternative 1 |
|---|
| Error | 3.3 |
|---|
| Cost | 65088 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta \cdot {\cos \phi_1}^{2} - \cos \phi_1 \cdot \left(\sin delta \cdot \sin \phi_1\right)}
\]
| Alternative 2 |
|---|
| Error | 4.2 |
|---|
| Cost | 59016 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta - {\sin \phi_1}^{2}}\\
\mathbf{if}\;theta \leq -9.317777165882774:\\
\;\;\;\;t_1\\
\mathbf{elif}\;theta \leq -7.96700515826579 \cdot 10^{-280}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot theta\right)}{\left(\cos \phi_1 \cdot \cos \phi_1\right) \cdot \cos delta - \cos \phi_1 \cdot \left(\sin delta \cdot \sin \phi_1\right)}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 3 |
|---|
| Error | 3.3 |
|---|
| Cost | 59008 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos delta \cdot \left(0.5 + 0.5 \cdot \cos \left(\phi_1 + \phi_1\right)\right) - \cos \phi_1 \cdot \left(\sin delta \cdot \sin \phi_1\right)}
\]
| Alternative 4 |
|---|
| Error | 4.9 |
|---|
| Cost | 45576 |
|---|
\[\begin{array}{l}
\mathbf{if}\;delta \leq -628.3065843612982:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin theta \cdot \left(\sin delta \cdot \cos \phi_1\right)}{\cos delta}\\
\mathbf{elif}\;delta \leq 0.1442322950092507:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos \phi_1 \cdot \cos \phi_1}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\log \left(e^{\cos delta}\right)}\\
\end{array}
\]
| Alternative 5 |
|---|
| Error | 4.8 |
|---|
| Cost | 45504 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\cos \phi_1 \cdot \left(\sin delta \cdot \sin theta\right)}{\cos delta - {\sin \phi_1}^{2}}
\]
| Alternative 6 |
|---|
| Error | 4.9 |
|---|
| Cost | 39304 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{\sin theta \cdot \left(\sin delta \cdot \cos \phi_1\right)}{\cos delta}\\
\mathbf{if}\;delta \leq -628.3065843612982:\\
\;\;\;\;t_1\\
\mathbf{elif}\;delta \leq 0.1442322950092507:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \left(\cos \phi_1 \cdot \sin theta\right)}{\cos \phi_1 \cdot \cos \phi_1}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 7 |
|---|
| Error | 7.0 |
|---|
| Cost | 32512 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin theta \cdot \left(\sin delta \cdot \cos \phi_1\right)}{\cos delta}
\]
| Alternative 8 |
|---|
| Error | 8.5 |
|---|
| Cost | 25984 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \sin theta}{\cos delta}
\]
| Alternative 9 |
|---|
| Error | 11.9 |
|---|
| Cost | 19848 |
|---|
\[\begin{array}{l}
t_1 := \lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \sin theta}{1}\\
\mathbf{if}\;theta \leq -3.0233410817471927 \cdot 10^{+26}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;theta \leq 9.008592846041128 \cdot 10^{-9}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 10 |
|---|
| Error | 18.7 |
|---|
| Cost | 19720 |
|---|
\[\begin{array}{l}
\mathbf{if}\;\lambda_1 \leq -8.591334748073943 \cdot 10^{-275}:\\
\;\;\;\;\lambda_1\\
\mathbf{elif}\;\lambda_1 \leq 1.4896687908702544 \cdot 10^{-210}:\\
\;\;\;\;\tan^{-1}_* \frac{\sin delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1\\
\end{array}
\]
| Alternative 11 |
|---|
| Error | 15.8 |
|---|
| Cost | 19584 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{delta \cdot \sin theta}{\cos delta}
\]
| Alternative 12 |
|---|
| Error | 14.9 |
|---|
| Cost | 19584 |
|---|
\[\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot \sin theta}{1}
\]
| Alternative 13 |
|---|
| Error | 18.5 |
|---|
| Cost | 13448 |
|---|
\[\begin{array}{l}
\mathbf{if}\;delta \leq 7.057143486762459 \cdot 10^{-77}:\\
\;\;\;\;\lambda_1\\
\mathbf{elif}\;delta \leq 8.247438702273748 \cdot 10^{+272}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1\\
\end{array}
\]
| Alternative 14 |
|---|
| Error | 18.4 |
|---|
| Cost | 13448 |
|---|
\[\begin{array}{l}
\mathbf{if}\;delta \leq 7.057143486762459 \cdot 10^{-77}:\\
\;\;\;\;\lambda_1\\
\mathbf{elif}\;delta \leq 8.247438702273748 \cdot 10^{+272}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{delta \cdot theta}{\cos delta}\\
\mathbf{else}:\\
\;\;\;\;\lambda_1 + \tan^{-1}_* \frac{\sin delta \cdot theta}{1}\\
\end{array}
\]
| Alternative 15 |
|---|
| Error | 18.8 |
|---|
| Cost | 64 |
|---|
\[\lambda_1
\]
