6.6. Mathematical Functions and Operators

Mathematical Operators

Operator Description
+ Addition
- Subtraction
* Multiplication
/ Division (integer division performs truncation)
% Modulus (remainder)

Mathematical Functions

abs(x) → [same as input]

Returns the absolute value of x.
cbrt(x) → double

Returns the cube root of x.
ceil(x) → [same as input]

This is an alias for ceiling().
ceiling(x) → [same as input]

Returns x rounded up to the nearest integer.
cosinesimilarity(_x, y) → double

Returns the cosine similarity between the sparse vectors x and y:



  1. SELECT cosinesimilarity(MAP(ARRAY['a'], ARRAY[1.0]), MAP(ARRAY['a'], ARRAY[2.0])); 1.0



degrees(_x) → double

Converts angle x in radians to degrees.
e() → double

Returns the constant Euler’s number.
exp(x) → double

Returns Euler’s number raised to the power of x.
floor(x) → [same as input]

Returns x rounded down to the nearest integer.
frombase(_string, radix) → bigint

Returns the value of string interpreted as a base-radix number.
inversenormal_cdf(_mean, sd, p) → double

Compute the inverse of the Normal cdf with given mean and standarddeviation (sd) for the cumulative probability (p): P(N < n). The mean must bea real value and the standard deviation must be a real and positive value.The probability p must lie on the interval (0, 1).
normalcdf(_mean, sd, v) → double

Compute the Normal cdf with given mean and standard deviation (sd): P(N < v; mean, sd).The mean and value v must be real values and the standard deviation must be a realand positive value.
ln(x) → double

Returns the natural logarithm of x.
log2(x) → double

Returns the base 2 logarithm of x.
log10(x) → double

Returns the base 10 logarithm of x.
mod(n, m) → [same as input]

Returns the modulus (remainder) of n divided by m.
pi() → double

Returns the constant Pi.
pow(x, p) → double

This is an alias for power().
power(x, p) → double

Returns x raised to the power of p.
radians(x) → double

Converts angle x in degrees to radians.
rand() → double

This is an alias for random().
random() → double

Returns a pseudo-random value in the range 0.0 <= x < 1.0.
random(n) → [same as input]

Returns a pseudo-random number between 0 and n (exclusive).
round(x) → [same as input]

Returns x rounded to the nearest integer.
round(x, d) → [same as input]

Returns x rounded to d decimal places.
sign(x) → [same as input]

Returns the signum function of x, that is:

- 0 if the argument is 0,
- 1 if the argument is greater than 0,
- -1 if the argument is less than 0.
For double arguments, the function additionally returns:

- NaN if the argument is NaN,
- 1 if the argument is +Infinity,
- -1 if the argument is -Infinity.
sqrt(x) → double

Returns the square root of x.
tobase(_x, radix) → varchar

Returns the base-radix representation of x.
truncate(x) → double

Returns x rounded to integer by dropping digits after decimal point.
widthbucket(_x, bound1, bound2, n) → bigint

Returns the bin number of x in an equi-width histogram with thespecified bound1 and bound2 bounds and n number of buckets.
widthbucket(_x, bins) → bigint

Returns the bin number of x according to the bins specified by thearray bins. The bins parameter must be an array of doubles and isassumed to be in sorted ascending order.

Statistical Functions

wilsoninterval_lower(_successes, trials, z) → double

Returns the lower bound of the Wilson score interval of a Bernoulli trial processat a confidence specified by the z-score z.
wilsoninterval_upper(_successes, trials, z) → double

Returns the upper bound of the Wilson score interval of a Bernoulli trial processat a confidence specified by the z-score z.

Trigonometric Functions

All trigonometric function arguments are expressed in radians.See unit conversion functions degrees() and radians().

acos(x) → double

Returns the arc cosine of x.
asin(x) → double

Returns the arc sine of x.
atan(x) → double

Returns the arc tangent of x.
atan2(y, x) → double

Returns the arc tangent of y / x.
cos(x) → double

Returns the cosine of x.
cosh(x) → double

Returns the hyperbolic cosine of x.
sin(x) → double

Returns the sine of x.
tan(x) → double

Returns the tangent of x.
tanh(x) → double

Returns the hyperbolic tangent of x.

Floating Point Functions

infinity() → double

Returns the constant representing positive infinity.
isfinite(_x) → boolean

Determine if x is finite.
isinfinite(_x) → boolean

Determine if x is infinite.
isnan(_x) → boolean

Determine if x is not-a-number.
nan() → double

Returns the constant representing not-a-number.

原文: https://prestodb.io/docs/current/functions/math.html