Phaser API

Phaser. Math

new Math()

A collection of useful mathematical functions.

These are normally accessed through game.math.

Source - math/Math.js, line 17
See:

Members

<static> PI2

This method is deprecated and should not be used. It may be removed in the future.

Twice PI.

Properties:
Name Type Description
Phaser.Math#PI2 number
Deprecated:
  • 2.2.0 - Not used internally. Use `2 * Math.PI` instead.
Default Value:
  • ~6.283
Source - math/Math.js, line 25

Methods

angleBetween(x1, y1, x2, y2) → {number}

Find the angle of a segment from (x1, y1) -> (x2, y2).

Parameters:
Name Type Description
x1 number
y1 number
x2 number
y2 number
Returns:
number -

The angle, in radians.

Source - math/Math.js, line 326

angleBetweenPoints(point1, point2) → {number}

Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y).

Parameters:
Name Type Description
point1 Phaser.Point
point2 Phaser.Point
Returns:
number -

The angle, in radians.

Source - math/Math.js, line 355

angleBetweenPointsY(point1, point2) → {number}

Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y).

Parameters:
Name Type Description
point1 Phaser.Point
point2 Phaser.Point
Returns:
number -

The angle, in radians.

Source - math/Math.js, line 366

angleBetweenY(x1, y1, x2, y2) → {number}

Find the angle of a segment from (x1, y1) -> (x2, y2). Note that the difference between this method and Math.angleBetween is that this assumes the y coordinate travels down the screen.

Parameters:
Name Type Description
x1 number
y1 number
x2 number
y2 number
Returns:
number -

The angle, in radians.

Source - math/Math.js, line 339

angleLimit(angle, min, max) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Keeps an angle value between the given min and max values.

Parameters:
Name Type Description
angle number

The angle value to check. Must be between -180 and +180.
min number

The minimum angle that is allowed (must be -180 or greater).
max number

The maximum angle that is allowed (must be 180 or less).
Returns:
number -

The new angle value, returns the same as the input angle if it was within bounds

Deprecated:
Source - math/Math.js, line 737

average() → {number}

Averages all values passed to the function and returns the result.

Returns:
number -

The average of all given values.

Source - math/Math.js, line 93

<internal> bernstein(n, i) → {number}

Parameters:
Name Type Description
n number
i number
Returns:
number -
Internal:
  • This member is internal (protected) and may be modified or removed in the future.
Source - math/Math.js, line 867

bezierInterpolation(v, k) → {number}

A Bezier Interpolation Method, mostly used by Phaser.Tween.

Parameters:
Name Type Description
v Array

The input array of values to interpolate between.
k number

The percentage of interpolation, between 0 and 1.
Returns:
number -

The interpolated value

Source - math/Math.js, line 792

<internal> catmullRom(p0, p1, p2, p3, t) → {number}

Calculates a catmum rom value.

Parameters:
Name Type Description
p0 number
p1 number
p2 number
p3 number
t number
Returns:
number -
Internal:
  • This member is internal (protected) and may be modified or removed in the future.
Source - math/Math.js, line 901

catmullRomInterpolation(v, k) → {number}

A Catmull Rom Interpolation Method, mostly used by Phaser.Tween.

Parameters:
Name Type Description
v Array

The input array of values to interpolate between.
k number

The percentage of interpolation, between 0 and 1.
Returns:
number -

The interpolated value

Source - math/Math.js, line 814

ceil(value) → {integer}

This method is deprecated and should not be used. It may be removed in the future.

Do not use this function.

Round to the next whole number away from zero.

E.g. ceil(1.3) == 2, and ceil(-2.3) == -3.

Parameters:
Name Type Description
value number

Any number.
Returns:
integer -

The rounded value of that number.

Deprecated:
Source - math/Math.js, line 983

ceilTo(value, place, base) → {number}

Parameters:
Name Type Description
value number

The value to round.
place number

The place to round to.
base number

The base to round in... default is 10 for decimal.
Returns:
number -
Source - math/Math.js, line 295

chanceRoll(chance) → {boolean}

Generate a random bool result based on the chance value.

Returns true or false based on the chance value (default 50%). For example if you wanted a player to have a 30% chance of getting a bonus, call chanceRoll(30) - true means the chance passed, false means it failed.

Parameters:
Name Type Description
chance number

The chance of receiving the value. A number between 0 and 100 (effectively 0% to 100%).
Returns:
boolean -

True if the roll passed, or false otherwise.

Source - utils/Utils.js, line 77

chanceRoll(chance) → {boolean}

This method is deprecated and should not be used. It may be removed in the future.

Generate a random bool result based on the chance value.

Returns true or false based on the chance value (default 50%). For example if you wanted a player to have a 30% chance of getting a bonus, call chanceRoll(30) - true means the chance passed, false means it failed.

Parameters:
Name Type Description
chance number

The chance of receiving the value. A number between 0 and 100 (effectively 0% to 100%).
Returns:
boolean -

True if the roll passed, or false otherwise.

Deprecated:
  • 2.2.0 - Use Phaser.Utils.chanceRoll
Source - math/Math.js, line 422

clamp(x, a, b) → {number}

Force a value within the boundaries by clamping x to the range [a, b].

Parameters:
Name Type Description
x number
a number
b number
Returns:
number -
Source - math/Math.js, line 1132

clampBottom(x, a) → {number}

Clamp x to the range [a, Infinity). Roughly the same as Math.max(x, a), except for NaN handling.

Parameters:
Name Type Description
x number
a number
Returns:
number -
Source - math/Math.js, line 1145

degToRad(degrees) → {number}

Convert degrees to radians.

Parameters:
Name Type Description
degrees number

Angle in degrees.
Returns:
number -

Angle in radians.

Source - math/Math.js, line 1261

difference(a, b) → {number}

The (absolute) difference between two values.

Parameters:
Name Type Description
a number
b number
Returns:
number -
Source - math/Math.js, line 921

distance(x1, y1, x2, y2) → {number}

Returns the euclidian distance between the two given set of coordinates.

Parameters:
Name Type Description
x1 number
y1 number
x2 number
y2 number
Returns:
number -

The distance between the two sets of coordinates.

Source - math/Math.js, line 1079

distancePow(x1, y1, x2, y2, pow) → {number}

Returns the distance between the two given set of coordinates at the power given.

Parameters:
Name Type Argument Default Description
x1 number
y1 number
x2 number
y2 number
pow number <optional>
 2
Returns:
number -

The distance between the two sets of coordinates.

Source - math/Math.js, line 1098

distanceRounded(x1, y1, x2, y2) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Returns the rounded distance between the two given set of coordinates.

Parameters:
Name Type Description
x1 number
y1 number
x2 number
y2 number
Returns:
number -

The distance between this Point object and the destination Point object.

Deprecated:
  • 2.2.0 - Do the rounding locally.
Source - math/Math.js, line 1117

factorial(value) → {number}

Parameters:
Name Type Description
value number

the number you want to evaluate
Returns:
number -
Source - math/Math.js, line 878

floor(value) → {integer}

This method is deprecated and should not be used. It may be removed in the future.

Do not use this function.

Round to the next whole number towards zero.

E.g. floor(1.7) == 1, and floor(-2.7) == -2.

Parameters:
Name Type Description
value number

Any number.
Returns:
integer -

The rounded value of that number.

Deprecated:
Source - math/Math.js, line 967

floorTo(value, place, base) → {number}

Parameters:
Name Type Description
value number

The value to round.
place number

The place to round to.
base number

The base to round in... default is 10 for decimal.
Returns:
number -
Source - math/Math.js, line 277

fuzzyCeil(val, epsilon) → {boolean}

Parameters:
Name Type Argument Default Description
val number
epsilon number <optional>
 (small value)
Returns:
boolean -

ceiling(val-epsilon)

Source - math/Math.js, line 69

fuzzyEqual(a, b, epsilon) → {boolean}

Two number are fuzzyEqual if their difference is less than epsilon.

Parameters:
Name Type Argument Default Description
a number
b number
epsilon number <optional>
 (small value)
Returns:
boolean -

True if |a-b|<epsilon

Source - math/Math.js, line 27

fuzzyFloor(val, epsilon) → {boolean}

Parameters:
Name Type Argument Default Description
val number
epsilon number <optional>
 (small value)
Returns:
boolean -

floor(val-epsilon)

Source - math/Math.js, line 81

fuzzyGreaterThan(a, b, epsilon) → {boolean}

a is fuzzyGreaterThan b if it is more than b - epsilon.

Parameters:
Name Type Argument Default Description
a number
b number
epsilon number <optional>
 (small value)
Returns:
boolean -

True if a>b+epsilon

Source - math/Math.js, line 55

fuzzyLessThan(a, b, epsilon) → {boolean}

a is fuzzyLessThan b if it is less than b + epsilon.

Parameters:
Name Type Argument Default Description
a number
b number
epsilon number <optional>
 (small value)
Returns:
boolean -

True if a<b+epsilon

Source - math/Math.js, line 41

getRandom(objects, startIndex, length) → {object}

This method is deprecated and should not be used. It may be removed in the future.

Fetch a random entry from the given array.

Will return null if there are no array items that fall within the specified range or if there is no item for the randomly choosen index.

Parameters:
Name Type Description
objects Array.<any>

An array of objects.
startIndex integer

Optional offset off the front of the array. Default value is 0, or the beginning of the array.
length integer

Optional restriction on the number of values you want to randomly select from.
Returns:
object -

The random object that was selected.

Deprecated:
Source - math/Math.js, line 933

interpolateFloat(a, b, weight) → {number}

This method is deprecated and should not be used. It may be removed in the future.

A one dimensional linear interpolation of a value.

Parameters:
Name Type Description
a number
b number
weight number
Returns:
number -
Deprecated:
Source - math/Math.js, line 313

isEven(n) → {boolean}

Returns true if the number given is even.

Parameters:
Name Type Description
n integer

The number to check.
Returns:
boolean -

True if the given number is even. False if the given number is odd.

Source - math/Math.js, line 587

isOdd(n) → {boolean}

Returns true if the number given is odd.

Parameters:
Name Type Description
n integer

The number to check.
Returns:
boolean -

True if the given number is odd. False if the given number is even.

Source - math/Math.js, line 575

limitValue(value, min, max) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Ensures the given value is between min and max inclusive.

Parameters:
Name Type Description
value number

The value to limit.
min number

The minimum the value can be.
max number

The maximum the value can be.
Returns:
number -

The limited value.

Deprecated:
Source - math/Math.js, line 550

linear(p0, p1, t) → {number}

Calculates a linear (interpolation) value over t.

Parameters:
Name Type Description
p0 number
p1 number
t number
Returns:
number -
Source - math/Math.js, line 854

linearInterpolation(v, k) → {number}

A Linear Interpolation Method, mostly used by Phaser.Tween.

Parameters:
Name Type Description
v Array

The input array of values to interpolate between.
k number

The percentage of interpolation, between 0 and 1.
Returns:
number -

The interpolated value

Source - math/Math.js, line 764

mapLinear(x, a1, a2, b1, b2) → {number}

Linear mapping from range to range

Parameters:
Name Type Description
x number

the value to map
a1 number

first endpoint of the range

a2 number

final endpoint of the range

b1 number

first endpoint of the range

b2 number

final endpoint of the range

Returns:
number -
Source - math/Math.js, line 1172

max() → {number}

Variation of Math.max that can be passed either an array of numbers or the numbers as parameters.

Prefer the standard Math.max function when appropriate.

Returns:
number -

The largest value from those given.

Source - math/Math.js, line 631
See:

maxAdd(value, amount, max) → {number}

Adds the given amount to the value, but never lets the value go over the specified maximum.

Parameters:
Name Type Description
value number

The value to add the amount to.
amount number

The amount to add to the value.
max number

The maximum the value is allowed to be.
Returns:
number -
Source - math/Math.js, line 470

maxProperty() → {number}

Variation of Math.max that can be passed a property and either an array of objects or the objects as parameters. It will find the largest matching property value from the given objects.

Returns:
number -

The largest value from those given.

Source - math/Math.js, line 693

min() → {number}

Variation of Math.min that can be passed either an array of numbers or the numbers as parameters.

Prefer the standard Math.min function when appropriate.

Returns:
number -

The lowest value from those given.

Source - math/Math.js, line 599
See:

minProperty() → {number}

Variation of Math.min that can be passed a property and either an array of objects or the objects as parameters. It will find the lowest matching property value from the given objects.

Returns:
number -

The lowest value from those given.

Source - math/Math.js, line 663

minSub(value, amount, min) → {number}

Subtracts the given amount from the value, but never lets the value go below the specified minimum.

Parameters:
Name Type Description
value number

The base value.
amount number

The amount to subtract from the base value.
min number

The minimum the value is allowed to be.
Returns:
number -

The new value.

Source - math/Math.js, line 483

normalizeAngle(angleRad) → {number}

Normalizes an angle to the [0,2pi) range.

Parameters:
Name Type Description
angleRad number

The angle to normalize, in radians.
Returns:
number -

Returns the angle, fit within the [0,2pi] range, in radians.

Source - math/Math.js, line 387

normalizeLatitude(lat) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Normalizes a latitude to the [-90,90] range. Latitudes above 90 or below -90 are capped, not wrapped.

Parameters:
Name Type Description
lat number

The latitude to normalize, in degrees.
Returns:
number -

Returns the latitude, fit within the [-90,90] range.

Deprecated:
Source - math/Math.js, line 400

normalizeLongitude(lng) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Normalizes a longitude to the [-180,180] range. Longitudes above 180 or below -180 are wrapped.

Parameters:
Name Type Description
lng number

The longitude to normalize, in degrees.
Returns:
number -

Returns the longitude, fit within the [-180,180] range.

Deprecated:
Source - math/Math.js, line 411

numberArray(start, end) → {Array.<number>}

This method is deprecated and should not be used. It may be removed in the future.

Create an array representing the inclusive range of numbers (usually integers) in [start, end].

Parameters:
Name Type Description
start number

The minimum value the array starts with.
end number

The maximum value the array contains.
Returns:
Array.<number> -

The array of number values.

Deprecated:
  • 2.2.0 - See Phaser.ArrayUtils.numberArray
Source - math/Math.js, line 437

numberArrayStep(start, end, step) → {Array}

This method is deprecated and should not be used. It may be removed in the future.

Create an array of numbers (positive and/or negative) progressing from start up to but not including end by advancing by step.

If start is less than stop a zero-length range is created unless a negative step is specified.

Certain values for start and end (eg. NaN/undefined/null) are coerced to 0; for forward compatibility make sure to pass in actual numbers.

Parameters:
Name Type Argument Default Description
start number

The start of the range.
end number

The end of the range.
step number <optional>
 1

The value to increment or decrement by.
Returns:
Array -

Returns the new array of numbers.

Deprecated:
  • 2.2.0 - See Phaser.ArrayUtils.numberArrayStep
Source - math/Math.js, line 450

percent(a, b, base) → {number}

Work out what percentage value a is of value b using the given base.

Parameters:
Name Type Argument Default Description
a number

The value to work out the percentage for.
b number

The value you wish to get the percentage of.
base number <optional>
 0

The base value.
Returns:
number -

The percentage a is of b, between 0 and 1.

Source - math/Math.js, line 1228

radToDeg(radians) → {number}

Convert degrees to radians.

Parameters:
Name Type Description
radians number

Angle in radians.
Returns:
number -

Angle in degrees

Source - math/Math.js, line 1272

randomSign() → {number}

This method is deprecated and should not be used. It may be removed in the future.

Randomly returns either a 1 or -1.

Returns:
number -

Either 1 or -1

Deprecated:
  • 2.2.0 - Use Phaser.Utils.randomChoice or other
Source - math/Math.js, line 564

removeRandom(objects, startIndex, length) → {object}

This method is deprecated and should not be used. It may be removed in the future.

Removes a random object from the given array and returns it.

Will return null if there are no array items that fall within the specified range or if there is no item for the randomly choosen index.

Parameters:
Name Type Description
objects Array.<any>

An array of objects.
startIndex integer

Optional offset off the front of the array. Default value is 0, or the beginning of the array.
length integer

Optional restriction on the number of values you want to randomly select from.
Returns:
object -

The random object that was removed.

Deprecated:
Source - math/Math.js, line 950

reverseAngle(angleRad) → {number}

Reverses an angle.

Parameters:
Name Type Description
angleRad number

The angle to reverse, in radians.
Returns:
number -

Returns the reverse angle, in radians.

Source - math/Math.js, line 377

roundAwayFromZero(value) → {integer}

Round to the next whole number away from zero.

Parameters:
Name Type Description
value number

Any number.
Returns:
integer -

The rounded value of that number.

Source - math/Math.js, line 999

roundTo(value, place, base) → {number}

Round to some place comparative to a base, default is 10 for decimal place. The place is represented by the power applied to base to get that place.

e.g. 2000/7 ~= 285.714285714285714285714 ~= (bin)100011101.1011011011011011

roundTo(2000/7,3) === 0
roundTo(2000/7,2) == 300
roundTo(2000/7,1) == 290
roundTo(2000/7,0) == 286
roundTo(2000/7,-1) == 285.7
roundTo(2000/7,-2) == 285.71
roundTo(2000/7,-3) == 285.714
roundTo(2000/7,-4) == 285.7143
roundTo(2000/7,-5) == 285.71429

roundTo(2000/7,3,2)  == 288       -- 100100000
roundTo(2000/7,2,2)  == 284       -- 100011100
roundTo(2000/7,1,2)  == 286       -- 100011110
roundTo(2000/7,0,2)  == 286       -- 100011110
roundTo(2000/7,-1,2) == 285.5     -- 100011101.1
roundTo(2000/7,-2,2) == 285.75    -- 100011101.11
roundTo(2000/7,-3,2) == 285.75    -- 100011101.11
roundTo(2000/7,-4,2) == 285.6875  -- 100011101.1011
roundTo(2000/7,-5,2) == 285.71875 -- 100011101.10111

Note what occurs when we round to the 3rd space (8ths place), 100100000, this is to be assumed because we are rounding 100011.1011011011011011 which rounds up.

Parameters:
Name Type Description
value number

The value to round.
place number

The place to round to.
base number

The base to round in... default is 10 for decimal.
Returns:
number -
Source - math/Math.js, line 231

shear(n) → {number}

Parameters:
Name Type Description
n number
Returns:
number -

n mod 1

Source - math/Math.js, line 122

shift(array) → {any}

This method is deprecated and should not be used. It may be removed in the future.

Moves the element from the start of the array to the end, shifting all items in the process.

Parameters:
Name Type Description
array Array.<any>

The array to shift/rotate. The array is modified.
Returns:
any -

The shifted value.

Deprecated:
Source - math/Math.js, line 1051

shuffleArray(array) → {Array.<any>}

This method is deprecated and should not be used. It may be removed in the future.

Shuffles the data in the given array into a new order.

Parameters:
Name Type Description
array Array.<any>

The array to shuffle
Returns:
Array.<any> -

The array

Deprecated:
Source - math/Math.js, line 1068

sign(x) → {integer}

A value representing the sign of the value: -1 for negative, +1 for positive, 0 if value is 0.

This works differently from Math.sign for values of NaN and -0, etc.

Parameters:
Name Type Description
x number
Returns:
integer -

An integer in {-1, 0, 1}

Source - math/Math.js, line 1215

sinCosGenerator(length, sinAmplitude, cosAmplitude, frequency) → {Object}

Generate a sine and cosine table simultaneously and extremely quickly. The parameters allow you to specify the length, amplitude and frequency of the wave. This generator is fast enough to be used in real-time. Code based on research by Franky of scene.at

Parameters:
Name Type Description
length number

The length of the wave
sinAmplitude number

The amplitude to apply to the sine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
cosAmplitude number

The amplitude to apply to the cosine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
frequency number

The frequency of the sine and cosine table data
Returns:
Object -

Returns the table data.

Source - math/Math.js, line 1011

smootherstep(x, min, max) → {number}

Smootherstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep

Parameters:
Name Type Description
x number
min number
max number
Returns:
number -
Source - math/Math.js, line 1201

smoothstep(x, min, max) → {number}

Smoothstep function as detailed at http://en.wikipedia.org/wiki/Smoothstep

Parameters:
Name Type Description
x number
min number
max number
Returns:
number -
Source - math/Math.js, line 1187

snapTo(input, gap, start) → {number}

Snap a value to nearest grid slice, using rounding.

Example: if you have an interval gap of 5 and a position of 12... you will snap to 10 whereas 14 will snap to 15.

Parameters:
Name Type Argument Description
input number

The value to snap.
gap number

The interval gap of the grid.
start number <optional>

Optional starting offset for gap.
Returns:
number -
Source - math/Math.js, line 131

snapToCeil(input, gap, start) → {number}

Snap a value to nearest grid slice, using ceil.

Example: if you have an interval gap of 5 and a position of 12... you will snap to 15. As will 14 will snap to 15... but 16 will snap to 20.

Parameters:
Name Type Argument Description
input number

The value to snap.
gap number

The interval gap of the grid.
start number <optional>

Optional starting offset for gap.
Returns:
number -
Source - math/Math.js, line 183

snapToFloor(input, gap, start) → {number}

Snap a value to nearest grid slice, using floor.

Example: if you have an interval gap of 5 and a position of 12... you will snap to 10. As will 14 snap to 10... but 16 will snap to 15

Parameters:
Name Type Argument Description
input number

The value to snap.
gap number

The interval gap of the grid.
start number <optional>

Optional starting offset for gap.
Returns:
number -
Source - math/Math.js, line 157

snapToInArray(input, arr, sort) → {number}

This method is deprecated and should not be used. It may be removed in the future.

Snaps a value to the nearest value in an array.

Parameters:
Name Type Description
input number
arr Array.<number>
sort boolean

True if the array needs to be sorted.
Returns:
number -
Deprecated:
Source - math/Math.js, line 209

truncate(n) → {integer}

This method is deprecated and should not be used. It may be removed in the future.
Parameters:
Name Type Description
n number
Returns:
integer -
Deprecated:
  • 2.2.0 - Use `Math.trunc` (now with polyfill)
Source - math/Math.js, line 112

within(a, b, tolerance) → {boolean}

Checks if two values are within the given tolerance of each other.

Parameters:
Name Type Description
a number

The first number to check
b number

The second number to check
tolerance number

The tolerance. Anything equal to or less than this is considered within the range.
Returns:
boolean -

True if a is <= tolerance of b.

Source - math/Math.js, line 1158
See:
  • Phaser.Math.fuzzyEqual

wrap(value, min, max) → {number}

Ensures that the value always stays between min and max, by wrapping the value around.

If max is not larger than min the result is 0.

Parameters:
Name Type Description
value number

The value to wrap.
min number

The minimum the value is allowed to be.
max number

The maximum the value is allowed to be, should be larger than min.
Returns:
number -

The wrapped value.

Source - math/Math.js, line 496

wrapAngle(angle, radians) → {number}

Keeps an angle value between -180 and +180; or -PI and PI if radians.

Parameters:
Name Type Argument Default Description
angle number

The angle value to wrap
radians boolean <optional>
 false

Set to true if the angle is given in radians, otherwise degrees is expected.
Returns:
number -

The new angle value; will be the same as the input angle if it was within bounds.

Source - math/Math.js, line 723

wrapValue(value, amount, max) → {number}

Adds value to amount and ensures that the result always stays between 0 and max, by wrapping the value around.

Values must be positive integers, and are passed through Math.abs. See Phaser.Math#wrap for an alternative.

Parameters:
Name Type Description
value number

The value to add the amount to.
amount number

The amount to add to the value.
max number

The maximum the value is allowed to be.
Returns:
number -

The wrapped value.

Source - math/Math.js, line 527
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