0a4a5b36cc
* Additional .gitignore entries * Merge a bunch of small articles about system tables into single one * Merge a bunch of small articles about formats into single one * Adapt table with formats to English docs too * Add SPb meetup link to main page * Move Utilities out of top level of docs (the location is probably not yet final) + translate couple articles * Merge MacOS.md into build_osx.md * Move Data types higher in ToC * Publish changelog on website alongside documentation * Few fixes for en/table_engines/file.md * Use smaller header sizes in changelogs * Group up table engines inside ToC * Move table engines out of top level too * Specificy in ToC that query language is SQL based. Thats a bit excessive, but catches eye. * Move stuff that is part of query language into respective folder * Move table functions lower in ToC * Lost redirects.txt update * Do not rely on comments in yaml + fix few ru titles * Extract major parts of queries.md into separate articles * queries.md has been supposed to be removed * Fix weird translation * Fix a bunch of links * There is only table of contents left * "Query language" is actually part of SQL abbreviation * Change filename in README.md too * fix mistype
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Mathematical functions
All the functions return a Float64 number. The accuracy of the result is close to the maximum precision possible, but the result might not coincide with the machine representable number nearest to the corresponding real number.
e()
Returns a Float64 number close to the e number.
pi()
Returns a Float64 number close to π.
exp(x)
Accepts a numeric argument and returns a Float64 number close to the exponent of the argument.
log(x)
Accepts a numeric argument and returns a Float64 number close to the natural logarithm of the argument.
exp2(x)
Accepts a numeric argument and returns a Float64 number close to 2^x.
log2(x)
Accepts a numeric argument and returns a Float64 number close to the binary logarithm of the argument.
exp10(x)
Accepts a numeric argument and returns a Float64 number close to 10^x.
log10(x)
Accepts a numeric argument and returns a Float64 number close to the decimal logarithm of the argument.
sqrt(x)
Accepts a numeric argument and returns a Float64 number close to the square root of the argument.
cbrt(x)
Accepts a numeric argument and returns a Float64 number close to the cubic root of the argument.
erf(x)
If 'x' is non-negative, then erf(x / σ√2) is the probability that a random variable having a normal distribution with standard deviation 'σ' takes the value that is separated from the expected value by more than 'x'.
Example (three sigma rule):
SELECT erf(3 / sqrt(2))
┌─erf(divide(3, sqrt(2)))─┐
│ 0.9973002039367398 │
└─────────────────────────┘
erfc(x)
Accepts a numeric argument and returns a Float64 number close to 1 - erf(x), but without loss of precision for large 'x' values.
lgamma(x)
The logarithm of the gamma function.
tgamma(x)
Gamma function.
sin(x)
The sine.
cos(x)
The cosine.
tan(x)
The tangent.
asin(x)
The arc sine.
acos(x)
The arc cosine.
atan(x)
The arc tangent.
pow(x, y)
Accepts two numeric arguments and returns a Float64 number close to x^y.