Phaser Class: 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	The x coordinate of the first value.
`y1`	number	The y coordinate of the first value.
`x2`	number	The x coordinate of the second value.
`y2`	number	The y coordinate of the second value.

Returns:

number -

The angle, in radians.

Source - math/Math.js, line 404

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	The first point.
`point2`	Phaser.Point	The second point.

Returns:

number -

The angle between the two points, in radians.

Source - math/Math.js, line 439

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 453

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

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

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	The x coordinate of the first value.
`y1`	number	The y coordinate of the first value.
`x2`	number	The x coordinate of the second value.
`y2`	number	The y coordinate of the second value.

Returns:

number -

The angle, in radians.

Source - math/Math.js, line 420

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 123

<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 846

between(min, max) → {number}

Returns a number between the min and max values.

Parameters:

Name	Type	Description
`min`	number	The minimum value. Must be positive, and less than 'max'.
`max`	number	The maximum value. Must be position, and greater than 'min'.

Returns:

number -

A value between the range min to max.

Source - math/Math.js, line 26

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 769

<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 882

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 791

ceilTo(value, place, base) → {number}

Ceils 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.

Parameters:

Name	Type	Argument	Default	Description
`value`	number			The value to round.
`place`	number	<optional>	0	The place to round to.
`base`	number	<optional>	10	The base to round in. Default is 10 for decimal.

Returns:

number -

The rounded value.

Source - math/Math.js, line 302

clamp(v, min, max) → {number}

Force a value within the boundaries by clamping it to the range min, max.

Parameters:

Name	Type	Description
`v`	float	The value to be clamped.
`min`	float	The minimum bounds.
`max`	float	The maximum bounds.

Returns:

number -

The clamped value.

Source - math/Math.js, line 1028

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 1054

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 1186

difference(a, b) → {number}

The absolute difference between two values.

Parameters:

Name	Type	Description
`a`	number	The first value to check.
`b`	number	The second value to check.

Returns:

number -

The absolute difference between the two values.

Source - math/Math.js, line 902

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 970

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
`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 1009

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 989

factorial(value) → {number}

Parameters:

Name	Type	Description
`value`	number	the number you want to evaluate

Returns:

number -

Source - math/Math.js, line 859

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

Floors 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.

Parameters:

Name	Type	Argument	Default	Description
`value`	number			The value to round.
`place`	number	<optional>	0	The place to round to.
`base`	number	<optional>	10	The base to round in. Default is 10 for decimal.

Returns:

number -

The rounded value.

Source - math/Math.js, line 281

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 91

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 40

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 107

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 74

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 57

getShortestAngle(angle1, angle2) → {number}

Gets the shortest angle between angle1 and angle2.
Both angles must be in the range -180 to 180, which is the same clamped
range that sprite.angle uses, so you can pass in two sprite angles to
this method, and get the shortest angle back between the two of them.

The angle returned will be in the same range. If the returned angle is
greater than 0 then it's a counter-clockwise rotation, if < 0 then it's
a clockwise rotation.

Parameters:

Name	Type	Description
`angle1`	number	The first angle. In the range -180 to 180.
`angle2`	number	The second angle. In the range -180 to 180.

Returns:

number -

The shortest angle, in degrees. If greater than zero it's a counter-clockwise rotation.

Source - math/Math.js, line 374

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 589

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

linear(p0, p1, t) → {number}

Calculates a linear (interpolation) value over t.

Parameters:

Name	Type	Description
`p0`	number
`p1`	number
`t`	number	A value between 0 and 1.

Returns:

number -

Source - math/Math.js, line 831

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 741

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 1085

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 635

See:

http://jsperf.com/math-s-min-max-vs-homemade

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 -

The new value.

Source - math/Math.js, line 491

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 697

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 603

See:

http://jsperf.com/math-s-min-max-vs-homemade

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 667

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 506

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 -

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

Source - math/Math.js, line 478

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 1153

radToDeg(radians) → {number}

Convert radians to degrees.

Parameters:

Name	Type	Description
`radians`	number	Angle in radians.

Returns:

number -

Angle in degrees

Source - math/Math.js, line 1197

reverseAngle(angleRad) → {number}

Reverses an angle.

Parameters:

Name	Type	Description
`angleRad`	number	The angle to reverse, in radians.

Returns:

number -

The reverse angle, in radians.

Source - math/Math.js, line 466

rotateToAngle(currentAngle, targetAngle, lerp) → {number}

Rotates currentAngle towards targetAngle, taking the shortest rotation distance.
The lerp argument is the amount to rotate by in this call.

Parameters:

Name	Type	Argument	Default	Description
`currentAngle`	number			The current angle, in radians.
`targetAngle`	number			The target angle to rotate to, in radians.
`lerp`	number	<optional>	0.05	The lerp value to add to the current angle.

Returns:

number -

The adjusted angle.

Source - math/Math.js, line 323

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 916

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	Argument	Default	Description
`value`	number			The value to round.
`place`	number	<optional>	0	The place to round to.
`base`	number	<optional>	10	The base to round in. Default is 10 for decimal.

Returns:

number -

The rounded value.

Source - math/Math.js, line 235

shear(n) → {number}

Parameters:

Name	Type	Description
`n`	number

Returns:

number -

n mod 1

Source - math/Math.js, line 144

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 1138

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 930

smootherstep(x, min, max) → {float}

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

Parameters:

Name	Type	Description
`x`	float	The input value.
`min`	float	The left edge. Should be smaller than the right edge.
`max`	float	The right edge.

Returns:

float -

A value between 0 and 1.

Source - math/Math.js, line 1121

smoothstep(x, min, max) → {float}

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

Parameters:

Name	Type	Description
`x`	float	The input value.
`min`	float	The left edge. Should be smaller than the right edge.
`max`	float	The right edge.

Returns:

float -

A value between 0 and 1.

Source - math/Math.js, line 1102

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	Default	Description
`input`	number			The value to snap.
`gap`	number			The interval gap of the grid.
`start`	number	<optional>	0	Optional starting offset for gap.

Returns:

number -

The snapped value.

Source - math/Math.js, line 155

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	Default	Description
`input`	number			The value to snap.
`gap`	number			The interval gap of the grid.
`start`	number	<optional>	0	Optional starting offset for gap.

Returns:

number -

The snapped value.

Source - math/Math.js, line 208

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	Default	Description
`input`	number			The value to snap.
`gap`	number			The interval gap of the grid.
`start`	number	<optional>	0	Optional starting offset for gap.

Returns:

number -

The snapped value.

Source - math/Math.js, line 181

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 1069

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 521

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 727

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 552