All About Floating-Point Types In PostgreSQL

Nov. 19, 2018

This post is part of a series on the numeric data types found in PostgreSQL. Read on to learn all about defining arbitrary precision numbers in PostgreSQL. Write a comment if you have any questions or corrections!

Floating-Point Numbers

Name Storage size Range
real 4 bytes 6 digits precision
double precision 8 bytes 15 digits precision

Floating-point numbers are numbers that contain 'floating' decimal points. Examples: 5.5, 0.001, -2,345.3910.

The data types real and double precision are used to store floating-point numbers. They are inexact, variable-precision numeric types. Inexact means that some values are stored as approximations, so storing a number and then retrieving that value might reveal slight differences.

Knowing this, if you require exact storage and calculations (for monetary information, for example), use numeric instead. Additionally, if you want to do complicated calculations with these types, using a more precise type might be preferred. And, finally, when comparing two floating-point values for equality, it might not evaluate as you would expect.

If the above doesn't apply, then you may consider using a real or double precision data type, as they are faster than numeric.

Let's see some examples to understand better how real and double precision types work.

-- Table definition
CREATE TABLE moar_num_tests (
  numbah REAL,
  precise_numbah DOUBLE PRECISION

  Both numbers will be stored just as entered.
  The real data value is below 6 digits, and
  the double precision value is below 15 digits
  So when you retrieve them, they will still be
  32.021 and 2340.203.
INSERT INTO moar_num_tests VALUES(32.021, 2340.203);

  Both numbers will be stored just as entered.
  The real data value is at 6 digits, and
  the double precision value is at 15 digits
  So when you retrieve them, they will still be
  the same as when entered.
INSERT INTO moar_num_tests VALUES(221.243, 302.103959025367);

  Both numbers will be rounded. So the real becomes 50.306 and
  the double precision becomes 7856864.89745456. Note that in the
  second case, it doesn't round to 7 as you might expect, instead
  it rounds to the nearest even number.
INSERT INTO moar_num_tests VALUES(50.3059832, 7856864.8974545649);

  Inserting a whole number outside of the data type's range puts
  it in exponential notation (5.04033e+11, 7.85686423468975e+20)
INSERT INTO moar_num_tests VALUES(504033059832, 785686423468974545649);

Aside from numeric values, floating-point types like real and double precision also support the values Infinity, -Infinity, and NaN. You must put quotes around them.

PostgreSQL also supports the SQL-standard notations of FLOAT and FLOAT(p). P represents the minimum acceptable precision in binary digits. So:

  • FLOAT(1) to FLOAT(24) represents the real type
  • FLOAT, FLOAT(25) to FLOAT(53) represents the double precision type

More Numeric Types

Learn about the other numeric data types in one of the following posts: