Use: GO LANG

Implement ADT for coordinates on earth

A coordinate is composed of a latitude, longitude pair.

Make sure that the constructors are variadic, allowing for variable precision, for example: degrees and minutes; or degrees, degrees only, or degrees, minutes and seconds. $($REQUIRE A COMPASS DIRECTION$)$

Latitude is an angular distance north or south from the Earth's equator measured from $0$ degrees to $90$ degrees. Each degree is divided into $60$ minutes and each minute is divided into $60$ seconds. For example, the latitude for the USA is $40{43}^{\text{'}}{50\mathrm{.}1960}^{\text{'}}N$ which means the USA is $40$ degrees, $43$ minutes and $50$ seconds of arc north of the equator.

Longitude is an angular distance east or west from the Earth's prime meridian measured from $0$ degrees to $180$ degrees. Each degree of longitude is divided into $60$ minutes, and each minute is further divided into $60$ seconds. For example, the longitude of the USA is $73{56}^{\text{'}}{6\mathrm{.}8712}^{\text{'}}W,$ which means the USA is $73$ degrees, $56$ minutes and $6\mathrm{.}8$ seconds of arc west of the meridian.

The ADT should be able to input, output, compare and handle the coordinates in an appropriate manner.

Consider these errors:

Invalid Input Values:

When creating a new coordinate, validate input values such as degrees, minutes, and seconds. For example, latitude should be between $-90$ and $+90$ degrees, and longitude should be between $-180$ and $+180$ degrees.

Check if the provided direction is valid $($example$,"N"$ or $"S"$ for latitude, $"E"$ or $"W"$ for longitude$).$

Coordinate Operations:

When performing operations that involve combining or modifying coordinates, check if the resulting values remain within the valid range $($e$.$g$.,$ latitude between $-90$ and $+90$ degrees, longitude between $-180$ and $+180$ degrees$).$

Coordinate Reduction:

Include a Reduce$()$ member function to reduce coordinates $($normalizing minutes and seconds$)$l$.$ Make sure that its resulting values are valid.