Rails 3 Float or decimal for GPS coordinates

Question

I need to store GPS coordinates in a database. I've heard that floats are less accurate than decimals. Is that true? If so, what reason is there to ever use floats?

Answer 1

Since Earth equatorial circumference is around 40000 km and longitude spans 360 degrees, it follows that near the equator 1 degrees is equivalent to about 110 km.

Thus:

• 0 digit precision: ±110 km
• 1 digit precision: ±11 km
• 2 digit precision: ±1.1 km
• 3 digit precision: ±110 m
• 4 digit precision: ±11 m
• 5 digit precision: ±1.1 m
• 6 digit precision: ±11 cm
• 7 digit precision: ±1.1 cm

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However, the closer you move to the Poles, the smaller the lengths of the parallels becomes. For example near Paris, which has a latitude of 48 degrees, 1 degree is equivalent to cos(48) * 110 = 74 km.

Thus:

• 0 digit precision: ±74 km
• 1 digit precision: ±7.4 km
• 2 digit precision: ±0.74 km
• 3 digit precision: ±74 m
• 4 digit precision: ±7.4 m
• 5 digit precision: ±0.74 m
• 6 digit precision: ±7.4 cm
• 7 digit precision: ±0.74 cm

So, field of type DECIMAL(10,7) would be enough to satisfy you rather precise.

Answer 2

If you want 100% accuracy with your decimals, then multiply by 10**n(where n is your desired precision), and store as integer.

Float objects represent inexact real numbers using the native architecture's double-precision floating point representation.

See:

http://www.ruby-doc.org/core-1.9.3/Float.html