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

Twice PI.

Properties:
Name Type Description
Phaser.Math#PI2 number
Default Value:
  • ~6.283
Source - math/Math.js, line 24

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 301

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 330

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 341

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 314

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 109

<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 720

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 645

<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 754

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 667

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 283

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

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 898

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 911

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 1027

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 774

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 840

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 879

distanceSq(x1, y1, x2, y2) → {number}

Returns the euclidean distance squared between the two given set of coordinates (cuts out a square root operation before returning).

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

The distance squared between the two sets of coordinates.

Source - math/Math.js, line 859

factorial(value) → {number}

Parameters:
Name Type Description
value number

the number you want to evaluate

Returns:
number -
Source - math/Math.js, line 731

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 265

fuzzyCeil(val, epsilon) → {number}

Applies a fuzzy ceil to the given value.

Parameters:
Name Type Argument Default Description
val number

The value to ceil.

epsilon number <optional>
0.0001

The epsilon (a small value used in the calculation)

Returns:
number -

ceiling(val-epsilon)

Source - math/Math.js, line 77

fuzzyEqual(a, b, epsilon) → {boolean}

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

Parameters:
Name Type Argument Default Description
a number

The first number to compare.

b number

The second number to compare.

epsilon number <optional>
0.0001

The epsilon (a small value used in the calculation)

Returns:
boolean -

True if |a-b|<epsilon

Source - math/Math.js, line 26

fuzzyFloor(val, epsilon) → {number}

Applies a fuzzy floor to the given value.

Parameters:
Name Type Argument Default Description
val number

The value to floor.

epsilon number <optional>
0.0001

The epsilon (a small value used in the calculation)

Returns:
number -

floor(val+epsilon)

Source - math/Math.js, line 93

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

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

Parameters:
Name Type Argument Default Description
a number

The first number to compare.

b number

The second number to compare.

epsilon number <optional>
0.0001

The epsilon (a small value used in the calculation)

Returns:
boolean -

True if a>b+epsilon

Source - math/Math.js, line 60

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

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

Parameters:
Name Type Argument Default Description
a number

The first number to compare.

b number

The second number to compare.

epsilon number <optional>
0.0001

The epsilon (a small value used in the calculation)

Returns:
boolean -

True if a<b+epsilon

Source - math/Math.js, line 43

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 467

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 455

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 707

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 617

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 938

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 511
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 375

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 573

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 479
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 543

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 388

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 362

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 994

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 1038

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 352

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 786

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 219

shear(n) → {number}

Parameters:
Name Type Description
n number
Returns:
number -

n mod 1

Source - math/Math.js, line 130

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 981

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 800

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 967

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 953

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 139

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 192

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 165

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 924
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 401

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 603

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 432