API / Js / Math

Math

Provide utilities for JS Math. Note: The constants _E, _LN10, _LN2, _LOG10E, _LOG2E, _PI, _SQRT1_2, and _SQRT2 begin with an underscore because ReasonML variable names cannot begin with a capital letter. (Module names begin with upper case.)

_E

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let _E: float

Euler's number; ≈ 2.718281828459045. See Math.E on MDN.

_LN2

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let _LN2: float

Natural logarithm of 2; ≈ 0.6931471805599453. See Math.LN2 on MDN.

_LN10

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let _LN10: float

Natural logarithm of 10; ≈ 2.302585092994046. See Math.LN10 on MDN.

_LOG2E

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let _LOG2E: float

Base 2 logarithm of E; ≈ 1.4426950408889634. See Math.LOG2E on MDN.

_LOG10E

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let _LOG10E: float

Base 10 logarithm of E; ≈ 0.4342944819032518. See Math.LOG10E on MDN.

_PI

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let _PI: float

Pi - ratio of the circumference to the diameter of a circle; ≈ 3.141592653589793. See Math.PI on MDN.

_SQRT1_2

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let _SQRT1_2: float

Square root of 1/2; ≈ 0.7071067811865476. See Math.SQRT1_2 on MDN.

_SQRT2

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let _SQRT2: float

Square root of 2; ≈ 1.4142135623730951. See Math.SQRT2 on MDN.

abs_int

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let abs_int: int => int

Absolute value for integer argument. See Math.abs on MDN.

abs_float

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let abs_float: float => float

Absolute value for float argument. See Math.abs on MDN.

acos

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let acos: float => float

Arccosine (in radians) of argument; returns NaN if the argument is outside the range [-1.0, 1.0]. See Math.acos on MDN.

acosh

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let acosh: float => float

Hyperbolic arccosine (in radians) of argument; returns NaN if the argument is less than 1.0. See Math.acosh on MDN.

asin

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let asin: float => float

Arcsine (in radians) of argument; returns NaN if the argument is outside the range [-1.0, 1.0]. See Math.asin on MDN.

asinh

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let asinh: float => float

Hyperbolic arcsine (in radians) of argument. See Math.asinh on MDN.

atan

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let atan: float => float

Arctangent (in radians) of argument. See Math.atan on MDN.

atanh

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let atanh: float => float

Hyperbolic arctangent (in radians) of argument; returns NaN if the argument is is outside the range [-1.0, 1.0]. Returns -Infinity and Infinity for arguments -1.0 and 1.0. See Math.atanh on MDN.

atan2

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let atan2: (~y: float, ~x: float, unit) => float

Returns the angle (in radians) of the quotient y /. x. It is also the angle between the x-axis and point (x, y). See Math.atan2 on MDN.

RES
Js.Math.atan2(~y=0.0, ~x=10.0, ()) == 0.0
Js.Math.atan2(~x=5.0, ~y=5.0, ()) == Js.Math._PI /. 4.0
Js.Math.atan2(~x=-5.0, ~y=5.0, ())
Js.Math.atan2(~x=-5.0, ~y=5.0, ()) == 3.0 *. Js.Math._PI /. 4.0
Js.Math.atan2(~x=-0.0, ~y=-5.0, ()) == -.Js.Math._PI /. 2.0

cbrt

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let cbrt: float => float

Cube root. See Math.cbrt on MDN

unsafe_ceil_int

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let unsafe_ceil_int: float => int

Returns the smallest integer greater than or equal to the argument. This function may return values not representable by int, whose range is -2147483648 to 2147483647. This is because, in JavaScript, there are only 64-bit floating point numbers, which can represent integers in the range ±(2⁵³-1) exactly. See Math.ceil on MDN.

RES
Js.Math.unsafe_ceil_int(3.1) == 4
Js.Math.unsafe_ceil_int(3.0) == 3
Js.Math.unsafe_ceil_int(-3.1) == -3
Js.Math.unsafe_ceil_int(1.0e15) // result is outside range of int datatype

unsafe_ceil

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let unsafe_ceil: float => int

Deprecated; please use unsafe_ceil_int instead.

ceil_int

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let ceil_int: float => int

Returns the smallest int greater than or equal to the argument; the result is pinned to the range of the int data type: -2147483648 to 2147483647. See Math.ceil on MDN.

RES
Js.Math.ceil_int(3.1) == 4
Js.Math.ceil_int(3.0) == 3
Js.Math.ceil_int(-3.1) == -3
Js.Math.ceil_int(-1.0e15) == -2147483648
Js.Math.ceil_int(1.0e15) == 2147483647

ceil

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let ceil: float => int

Deprecated; please use ceil_int instead.

ceil_float

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let ceil_float: float => float

Returns the smallest integral value greater than or equal to the argument. The result is a float and is not restricted to the int data type range. See Math.ceil on MDN.

RES
Js.Math.ceil_float(3.1) == 4.0
Js.Math.ceil_float(3.0) == 3.0
Js.Math.ceil_float(-3.1) == -3.0
Js.Math.ceil_float(2_150_000_000.3) == 2_150_000_001.0

clz32

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let clz32: int => int

Number of leading zero bits of the argument's 32 bit int representation. See Math.clz32 on MDN.

RES
Js.Math.clz32(0) == 32
Js.Math.clz32(-1) == 0
Js.Math.clz32(255) == 24

cos

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let cos: float => float

Cosine of argument, which must be specified in radians. See Math.cos on MDN.

cosh

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let cosh: float => float

Hyperbolic cosine of argument, which must be specified in radians. See Math.cosh on MDN.

exp

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let exp: float => float

Natural exponentional; returns e (the base of natural logarithms) to the power of the given argument. See Math.exp on MDN.

expm1

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let expm1: float => float

Returns e (the base of natural logarithms) to the power of the given argument minus 1. See Math.expm1 on MDN.

unsafe_floor_int

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let unsafe_floor_int: float => int

Returns the largest integer less than or equal to the argument. This function may return values not representable by int, whose range is -2147483648 to 2147483647. This is because, in JavaScript, there are only 64-bit floating point numbers, which can represent integers in the range ±(2⁵³-1) exactly. See Math.floor on MDN.

RES
Js.Math.unsafe_floor_int(3.7) == 3
Js.Math.unsafe_floor_int(3.0) == 3
Js.Math.unsafe_floor_int(-3.7) == -4
Js.Math.unsafe_floor_int(1.0e15) // result is outside range of int datatype

unsafe_floor

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let unsafe_floor: float => int

Deprecated; please use unsafe_floor_int instead.

floor_int

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let floor_int: float => int

Returns the largest int less than or equal to the argument; the result is pinned to the range of the int data type: -2147483648 to 2147483647. See Math.floor on MDN.

RES
Js.Math.floor_int(3.7) == 3
Js.Math.floor_int(3.0) == 3
Js.Math.floor_int(-3.1) == -4
Js.Math.floor_int(-1.0e15) == -2147483648
Js.Math.floor_int(1.0e15) == 2147483647

floor

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let floor: float => int

Deprecated; please use floor_int instead.

floor_float

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let floor_float: float => float

Returns the largest integral value less than or equal to the argument. The result is a float and is not restricted to the int data type range. See Math.floor on MDN.

RES
Js.Math.floor_float(3.7) == 3.0
Js.Math.floor_float(3.0) == 3.0
Js.Math.floor_float(-3.1) == -4.0
Js.Math.floor_float(2_150_000_000.3) == 2_150_000_000.0

fround

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let fround: float => float

Round to nearest single precision float. See Math.fround on MDN.

RES
Js.Math.fround(5.5) == 5.5
Js.Math.fround(5.05) == 5.050000190734863

hypot

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let hypot: (float, float) => float

Returns the square root of the sum of squares of its two arguments (the Pythagorean formula). See Math.hypot on MDN.

hypotMany

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let hypotMany: array<float> => float

Returns the square root of the sum of squares of the numbers in the array argument (generalized Pythagorean equation). Using an array allows you to have more than two items. See Math.hypot on MDN.

RES
Js.Math.hypotMany([3.0, 4.0, 12.0]) == 13.0

imul

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let imul: (int, int) => int

32-bit integer multiplication. Use this only when you need to optimize performance of multiplication of numbers stored as 32-bit integers. See Math.imul on MDN.

log

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let log: float => float

Returns the natural logarithm of its argument; this is the number x such that e^x equals the argument. Returns NaN for negative arguments. See Math.log on MDN.

RES
Js.Math.log(Js.Math._E) == 1.0
Js.Math.log(100.0) == 4.605170185988092

log1p

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let log1p: float => float

Returns the natural logarithm of one plus the argument. Returns NaN for arguments less than -1. See Math.log1p on MDN.

RES
Js.Math.log1p(Js.Math._E -. 1.0) == 1.0
Js.Math.log1p(99.0) == 4.605170185988092

log10

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let log10: float => float

Returns the base 10 logarithm of its argument. Returns NaN for negative arguments. See Math.log10 on MDN.

RES
Js.Math.log10(1000.0) == 3.0
Js.Math.log10(0.01) == -2.0
Js.Math.log10(Js.Math.sqrt(10.0)) == 0.5

log2

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let log2: float => float

Returns the base 2 logarithm of its argument. Returns NaN for negative arguments. See Math.log2 on MDN.

RES
Js.Math.log2(512.0) == 9.0
Js.Math.log2(0.125) == -3.0
Js.Math.log2(Js.Math._SQRT2) == 0.5000000000000001 // due to precision

max_int

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let max_int: (int, int) => int

Returns the maximum of its two integer arguments. See Math.max on MDN.

maxMany_int

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let maxMany_int: array<int> => int

Returns the maximum of the integers in the given array. See Math.max on MDN.

max_float

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let max_float: (float, float) => float

Returns the maximum of its two floating point arguments. See Math.max on MDN.

maxMany_float

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let maxMany_float: array<float> => float

Returns the maximum of the floating point values in the given array. See Math.max on MDN.

min_int

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let min_int: (int, int) => int

Returns the minimum of its two integer arguments. See Math.min on MDN.

minMany_int

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let minMany_int: array<int> => int

Returns the minimum of the integers in the given array. See Math.min on MDN.

min_float

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let min_float: (float, float) => float

Returns the minimum of its two floating point arguments. See Math.min on MDN.

minMany_float

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let minMany_float: array<float> => float

Returns the minimum of the floating point values in the given array. See Math.min on MDN.

pow_int

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let pow_int: (~base: int, ~exp: int) => int

Raises the given base to the given exponent. (Arguments and result are integers.) See Math.pow on MDN.

RES
Js.Math.pow_int(~base=3, ~exp=4) == 81

pow_float

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let pow_float: (~base: float, ~exp: float) => float

Raises the given base to the given exponent. (Arguments and result are floats.) Returns NaN if the result would be imaginary. See Math.pow on MDN.

RES
Js.Math.pow_float(~base=3.0, ~exp=4.0) == 81.0
Js.Math.pow_float(~base=4.0, ~exp=-2.0) == 0.0625
Js.Math.pow_float(~base=625.0, ~exp=0.5) == 25.0
Js.Math.pow_float(~base=625.0, ~exp=-0.5) == 0.04
Js.Float.isNaN(Js.Math.pow_float(~base=-2.0, ~exp=0.5)) == true

random

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let random: unit => float

Returns a random number in the half-closed interval [0,1). See Math.random on MDN.

random_int

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let random_int: (int, int) => int

A call to random_int(minVal, maxVal) returns a random number in the half-closed interval [minVal, maxVal). See Math.random on MDN.

unsafe_round

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let unsafe_round: float => int

Rounds its argument to nearest integer. For numbers with a fractional portion of exactly 0.5, the argument is rounded to the next integer in the direction of positive infinity. This function may return values not representable by int, whose range is -2147483648 to 2147483647. This is because, in JavaScript, there are only 64-bit floating point numbers, which can represent integers in the range ±(2⁵³-1) exactly. See Math.round on MDN.

RES
Js.Math.unsafe_round(3.7) == 4
Js.Math.unsafe_round(-3.5) == -3
Js.Math.unsafe_round(2_150_000_000_000.3) // out of range for int

round

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let round: float => float

Rounds to nearest integral value (expressed as a float). See Math.round on MDN.

sign_int

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let sign_int: int => int

Returns the sign of its integer argument: -1 if negative, 0 if zero, 1 if positive. See Math.sign on MDN.

sign_float

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let sign_float: float => float

Returns the sign of its float argument: -1.0 if negative, 0.0 if zero, 1.0 if positive. See Math.sign on MDN.

sin

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let sin: float => float

Sine of argument, which must be specified in radians. See Math.sin on MDN.

sinh

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let sinh: float => float

Hyperbolic sine of argument, which must be specified in radians. See Math.sinh on MDN.

sqrt

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let sqrt: float => float

Square root. If the argument is negative, this function returns NaN. See Math.sqrt on MDN.

tan

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let tan: float => float

Tangent of argument, which must be specified in radians. Returns NaN if the argument is positive infinity or negative infinity. See Math.cos on MDN.

tanh

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let tanh: float => float

Hyperbolic tangent of argument, which must be specified in radians. See Math.tanh on MDN.

unsafe_trunc

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let unsafe_trunc: float => int

Truncates its argument; i.e., removes fractional digits. This function may return values not representable by int, whose range is -2147483648 to 2147483647. This is because, in JavaScript, there are only 64-bit floating point numbers, which can represent integers in the range ±(2⁵³-1) exactly. See Math.trunc on MDN.

trunc

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let trunc: float => float

Truncates its argument; i.e., removes fractional digits. See Math.trunc on MDN.