Mathematical Shader Processes

This is a list of the mathematical shader processes that are available in the Shader Editor under the Math tab.

Process	Description
Absolute Value	Inputs: Value A Output: Value of size matching A Calculates the absolute value of each component of the input A.
Add	Inputs: Values A and B Output: Value of size matching larger of A and B Calculates the componentwise sum of the inputs A and B.
Average	Inputs: Values A and B Output: Value of size matching larger of A and B Calculates the componentwise average of the inputs A and B.
Cosine	Inputs: Scalar A Output: Scalar Calculates the cosine of the input A, where the input is measured in radians.
Cross Product	Inputs: 3D vectors A and B Output: 3D vector Calculates the cross product of the inputs A and B. If one of the input vectors is in tangent space and the other is in world space, then additional shader code is generated to transform the tangent-space vector into world space before the cross product is evaluated.
Divide	Inputs: Value A, Scalar B Output: Value of size matching A Calculates the quotient of each component of the input A and the scalar input B. Tip: If you're dividing by a constant value, then it would be more efficient to multiply by the reciprocal of the constant. For example, you should multiply by 0.5 instead of dividing by 2.0.
Dot Product 3D	Inputs: 3D vectors A and B Output: Scalar Calculates the dot product of the inputs A and B. If one of the input vectors is in tangent space and the other is in world space, then additional shader code is generated to transform the tangent-space vector into world space before the dot product is evaluated.
Dot Product 4D	Inputs: 4D vectors A and B Output: Scalar Calculates the dot product of the inputs A and B.
Exp Base 2	Inputs: Scalar A Output: Scalar Calculates 2 raised to the power given by the input A.
Expand	Inputs: Value A Output: Value of size matching A Multiplies each component of the input A by 2.0 and then subtracts 1.0.
Floor	Inputs: Value A Output: Value of size matching A Calculates the floor of each component of the input A. To calculate a ceiling, negate the input and output of the Floor process.
Fraction	Inputs: Value A Output: Value of size matching A Calculates the fraction of each component of the input A. The fraction of a number is the difference between that number and its floor.
Invert	Inputs: Value A Output: Value of size matching A Subtracts each component of the input A from 1.0.
Linear Interpolate	Inputs: Values A, B, and t Output: Value of size matching largest of A, B, and t Calculates the linear interpolation between the components of A and B using the components of the input t as the interpolation parameter.
Log Base 2	Inputs: Scalar A Output: Scalar Calculates the logarithm base 2 of the input A. If the input is not positive, then the result is undefined.
Magnitude 3D	Inputs: 3D vector A Output: Scalar Calculates the magnitude of the input A.
Maximum	Inputs: Values A and B (required), value C (optional) Output: Value of size matching larger of A, B, and C Calculates the componentwise maximum of the inputs A, B, and C. If input C is omitted, then the maximum of only A and B is calculated.
Minimum	Inputs: Values A and B (required), value C (optional) Output: Value of size matching larger of A, B, and C Calculates the componentwise minimum of the inputs A, B, and C. If input C is omitted, then the minimum of only A and B is calculated.
Multiply	Inputs: Values A and B Output: Value of size matching larger of A and B Calculates the componentwise product of the inputs A and B.
Multiply Add	Inputs: Values A, B, and C Output: Value of size matching largest of A, B, and C Calculates the componentwise product of the inputs A and B and then adds the components of the input C.
Normalize 3D	Inputs: 3D vector A Output: 3D vector Normalizes the input A. If the input is the zero vector, then the result is undefined.
Power	Inputs: Scalars A and B Output: Scalar Calculates the input A raised to the power of the input B. If the input A is negative, then the result is undefined. If the input A is zero and the input B is not positive, then the result is undefined. Tip: If you're just squaring a value, then it would be more efficient to multiply the value by itself. That is, you should calculate A × A using the Multiply process instead of raising A to the power of 2.
Reciprocal	Inputs: Scalar A Output: Scalar Calculates the reciprocal of the input A. If the input is zero, then the result is undefined.
Reciprocal Square Root	Inputs: Scalar A Output: Scalar Calculates the reciprocal square root of the input A. If the input is not positive, then the result is undefined.
Round	Inputs: Value A Output: Value of size matching A Rounds each component of the input A to the nearest integer.
Saturate	Inputs: Value A Output: Value of size matching A Clamps each component of the input A to the range [0,1].
Set if Equal	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is equal to the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Set if Greater Equal	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is greater than or equal to the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Set if Greater Than	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is greater than the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Set if Less Equal	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is less than or equal to the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Set of Less Than	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is less than the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Set if Not Equal	Inputs: Value A (required), Value B (optional) Output: Value of size matching larger of A and B For each component of the inputs A and B, the corresponding component of the output is set to 1.0 if the component of A is not equal to the same component of B, and 0.0 otherwise. If input B is omitted, then it is assumed to be a vector of zeros.
Sine	Inputs: Scalar A Output: Scalar Calculates the sine of the input A, where the input is measured in radians.
Square Root	Inputs: Scalar A Output: Scalar Calculates the square root of the input A. If the input is negative, then the result is undefined.
Subtract	Inputs: Values A and B Output: Value of size matching larger of A and B Calculates the componentwise difference of the inputs A and B.
Sum of Products	Inputs: Values A, B, C, and D Output: Value of size matching largest of A, B, C, and D Calculates the componentwise products of the inputs A and B and the componentwise products of the inputs C and D and then calculates the componentwise sum of the results.

See Also

• Shader Editor
• Basic Shader Processes
• Complex Shader Processes
• Interpolant Shader Processes