## Elliptic Integrals Calculator

**Description:**
Elliptic_Integrals::Elliptic(const double phi, const double k) computes elliptic integrals F(ϕ,k) and E(ϕ,k).

**Usage**
```cpp
std::vector<double> Elliptic_Integrals::Elliptic(const double phi, const double k)
```

**Parameters**
'phi': The argument in degrees. It must be in the range [0,90]
'k': The modulus. It must be in the range [−1,1]

**Returns**
A vector containing the values of F(ϕ,k) (at the first position) and E(ϕ,k) (at the second position).

**Exceptions**
Throws an error if 'k' is not within the range [−1,1]
Throws an error if 'phi' is not within the range [0,90]

**Special Cases**
If 'k' is equal to 1 and 'phi' is 90, the function returns ∞ for F(ϕ,k) and 1 for E(ϕ,k).
If 'k' is equal to 1, the function applies specific formulas for computing F(ϕ,k) and E(ϕ,k).
For other cases, the function iteratively computes the integrals until a desired level of precision is achieved.

**Note**
This implementation has a maximum iteration limit of 1000. Adjustments may be needed based on the desired precision and performance requirements.