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# Math Patches

Math patches can be used to perform a math operation on their input.

Add them to your graph by right-clicking in the Patch Editor and selecting from the menu. The menu will show a description for each port.

Name Description

Multiply

Multiplies 2 values.

Subtract

Subtracts 2 values.

Divide

Divides 2 values.

Negate

Negates the value.

Floor

Rounds down the value.

Ceiling

Rounds up the value.

Delay

Delays value by some time.

Exponential Smoothing

Returns a smoothed signal based on the damping factor which is measured in milliseconds.

Sine

Calculates the sine of the given argument.

Cosine

Calculates the cosine of the given argument.

Tangent

Calculates the tangent of the given argument.

Arcsine

Calculates the arcsine of the given argument.

Arccosine

Calculates the arccosine of the given argument.

Arctangent

Calculates the arctangent of the given arguments.

Exponential

Calculates the natural exponentiation of the given argument.

Logarithm

Calculates the natural logarithm of the given argument.

Power

Calculates the value of the first parameter raised to the power of the second.

Modulo

Calculates division remainder for the given values.

Round

Rounds the value according to the specified rounding mode.

Absolute

Returns the absolute value of the argument.

Sign

Extracts the sign of the value.

Minimum

Returns the lesser of two values.

Maximum

Returns the greater of two values.

Clamp

Constrains a value to lie between two given bounds.

Mix

Linearly interpolates between two values modulated by Alpha.

Step

Generates a step function by comparing two values.

Smooth Step

Performs Hermite interpolation between two values.

Square Root

Calculates the square root of the value.

From Range

Maps the given value from the specified range to the [0, 1] range.

To Range

Maps the given value from the [0, 1] range to the specified range.

The patches in the table above will apply the operation separately on each component of the input.

So, if the input is Vector2 with the values `(3.1,4.7)`, and we used the Round patch, the outputs will be (3, 5).

This also applies if there are two inputs. If you have an input of `(5,7)` and `(1,6)` and we use the Add patch, the outputs will be `(6,13)`.

The input types must be compatible, for example you can't have an input of Vector2 and input of Vector3 connected to the same Add patch. If you want to use a number and another input, for example Vector2, Spark AR Studio will automatically expand the number to the corresponding input. So, if you have an input of `(5,7)` and the number 2 in an Add patch, the output would be `(7,9)`.

Name Description

Dot Product

Calculates the dot product of two vectors.

Cross Product

Calculates the cross product of two vectors.

Distance

Calculates the distance between two points.

Length

Calculates the length of a Vector.

Normalize

Calculates the unit vector in the same direction as the original vector.

Reflect

Calculates the reflection direction for an incident vector.

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## Join the Spark AR Creator's community

Find inspiration, see examples, get support, and share your work with a network of creators.

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