> For the complete documentation index, see [llms.txt](https://aup.nomi.dev/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://aup.nomi.dev/built-in/math/apis.md). # APIs ## .abs `math.abs(x: num) -> num` Returns the absolute value of the number. {% hint style="info" %} This function is equivalent to expression `(x < 0) ? (-x) : x`. {% endhint %} ## .acos `math.acos(x: num) -> num` Returns the arccosine of a number. ## .acosh `math.acos(x: num) -> num` Returns the hyperbolic arccosine of a number. ## .asin `math.asin(x: num) -> num` Returns the arcsine of a number. ## .asinh `math.asinh(x: num) -> num` Returns the hyperbolic arcsine of a number. ## .atan `math.atan(x: num) -> num` Returns the arctangent of a number. ## .atan2 `math.atan2(x: num, y: num) -> num` Returns the arctangent of the quotient of its arguments. ## .atanh `math.atanh(x: num) -> num` Returns the hyperbolic arctangent of a number. ## .ceil `math.ceil(x: num) -> num` Returns the smallest integer greater than or equal to a number. ## .cos `math.cos(x: num) -> num` Returns the cosine of a number. ## .cosh `math.cosh(x: num) -> num` Returns the hyperbolic cosine of a number. ## .exp `math.exp(x: num) -> num` Returns E^x, where x is the argument, and E is Euler's constant (2.718…), the base of the natural logarithm. ## .floor `math.floor(x: num) -> num` Returns the largest integer less than or equal to a number. ## .imul `math.floor(x: num) -> num` Returns the result of a 32-bit integer multiplication. ## .log `math.log(x: num) -> num` Returns the natural logarithm (base e logarithm, also ln) of a number. ## .log2 `math.log2(x: num) -> num` Returns the base 2 logarithm of a number. ## .log10 `math.log10(x: num) -> num` Returns the base 10 logarithm of a number. ## .pow `math.pow(x: num, y: num) -> num` Returns base to the exponent power. ## .rand `math.rand() -> num` Returns a pseudo-random number between 0 and 1. `math.rand(n: num) -> num` Returns a random integer between 0 and `n`. `math.rand(min: num, max: num) -> num` Returns a random integer between `min` and `max`. ## .round `math.round(x: num) -> num` Returns the value of a number rounded to the nearest integer. ## .sin `math.sin(x: num) -> num` Returns the sine of a number. ## .sinh `math.sinh(x: num) -> num` Returns the hyperbolic sine of a number. ## .sqrt `math.sqrt(x: num)` Returns the positive square root of a number. ## .tan `math.tan(x: num) -> num` Returns the tangent of a number. ## .tanh `math.tanh(x: num) -> num` Returns the hyperbolic tangent of a number.