9.3. Mathematical Functions and Operators
Mathematical operators are provided for many PostgreSQL types. For types without standard mathematical conventions (e.g., date/time types) we describe the actual behavior in subsequent sections.
Table 9.4 shows the available mathematical operators.
Table 9.4. Mathematical Operators
| Operator | Description | Example | Result |
|---|---|---|---|
+ | addition | 2 + 3 | 5 |
- | subtraction | 2 - 3 | -1 |
* | multiplication | 2 * 3 | 6 |
/ | division (integer division truncates the result) | 4 / 2 | 2 |
% | modulo (remainder) | 5 % 4 | 1 |
^ | exponentiation (associates left to right) | 2.0 ^ 3.0 | 8 |
|/ | square root | |/ 25.0 | 5 |
||/ | cube root | ||/ 27.0 | 3 |
! | factorial
(deprecated, use factorial() instead) | 5 ! | 120 |
!! | factorial as a prefix operator
(deprecated, use factorial() instead) | !! 5 | 120 |
@ | absolute value | @ -5.0 | 5 |
& | bitwise AND | 91 & 15 | 11 |
| | bitwise OR | 32 | 3 | 35 |
# | bitwise XOR | 17 # 5 | 20 |
~ | bitwise NOT | ~1 | -2 |
<< | bitwise shift left | 1 << 4 | 16 |
>> | bitwise shift right | 8 >> 2 | 2 |
The bitwise operators work only on integral data types and are also
available for the bit
string types bit and bit varying, as
shown in Table 9.14.
Table 9.5 shows the available
mathematical functions. In the table, dp
indicates double precision. Many of these functions
are provided in multiple forms with different argument types.
Except where noted, any given form of a function returns the same
data type as its argument.
The functions working with double precision data are mostly
implemented on top of the host system's C library; accuracy and behavior in
boundary cases can therefore vary depending on the host system.
Table 9.5. Mathematical Functions
Table 9.6 shows functions for generating random numbers.
Table 9.6. Random Functions
The random() function uses a simple linear
congruential algorithm. It is fast but not suitable for cryptographic
applications; see the pgcrypto module for a more
secure alternative.
If setseed() is called, the results of
subsequent random() calls in the current session are
repeatable by re-issuing setseed() with the same
argument.
Without any prior setseed() call in the same
session, the first random() call obtains a seed
from a platform-dependent source of random bits.
Table 9.7 shows the
available trigonometric functions. All these functions
take arguments and return values of type double
precision. Each of the trigonometric functions comes in
two variants, one that measures angles in radians and one that
measures angles in degrees.
Table 9.7. Trigonometric Functions
Note
Another way to work with angles measured in degrees is to use the unit
transformation functions
and radians() shown earlier.
However, using the degree-based trigonometric functions is preferred,
as that way avoids round-off error for special cases such
as degrees()sind(30).
Table 9.8 shows the
available hyperbolic functions. All these functions
take arguments and return values of type double
precision.
Table 9.8. Hyperbolic Functions
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