Math nodes

Perform a mathematical operations, from basic arithmetic to advanced functions like trigonometry, vectors, matrices, interpolation, and waves.

Advanced

Topic	Description
Absolute	Returns the absolute value of input In.
Exponential	Returns the exponential value of input In.
Length	Returns the length of input In.
Log	Returns the logarithm of input In.
Modulo	Returns the remainder of input A divided by input B.
Negate	Returns the inverse value of input In.
Normalize	Returns the normalized vector of input In.
Posterize	Returns the input In converted into a number of values defined by input Steps.
Reciprocal	Returns the result of 1 divided by input In.
Reciprocal Square Root	Returns the result of 1 divided by the square root of input In.

Basic

Topic	Description
Add	Returns the sum of the two input values.
Divide	Returns the result of input A divided by input B.
Multiply	Returns the result of input A multiplied by input B.
Power	Returns the result of input A to the power of input B.
Square Root	Returns the square root of input In.
Subtract	Returns the result of input A minus input B.

Derivative

Topic	Description
DDX	Returns the partial derivative with respect to the screen-space x-coordinate.
DDXY	Returns the sum of both partial derivatives.
DDY	Returns the partial derivative with respect to the screen-space y-coordinate.

Interpolation

Topic	Description
Inverse Lerp	Returns the parameter that produces the interpolant specified by input T within the range of input A to input B.
Lerp	Returns the result of linearly interpolating between input A and input B by input T.
Smoothstep	Returns the result of a smooth Hermite interpolation between 0 and 1, if input In is between inputs Edge1 and Edge2.

Matrix

Topic	Description
Matrix Construction	Constructs square matrices from the four input vectors M0, M1, M2 and M3.
Matrix Determinant	Returns the determinant of the matrix defined by input In.
Matrix Split	Splits a square matrix defined by input In into vectors.
Matrix Transpose	Returns the transposed value of the matrix defined by input In.

Range

Topic	Description
Clamp	Returns the input In clamped between the minimum and maximum values defined by inputs Min and Max respectively.
Fraction	Returns the fractional (or decimal) part of input In; which is greater than or equal to 0 and less than 1.
Maximum	Returns the largest of the two inputs values A and B.
Minimum	Returns the smallest of the two inputs values A and B.
One Minus	Returns the result of input In subtracted from 1.
Random Range	Returns a pseudo-random number that is between the minimum and maximum values defined by inputs Min and Max.
Remap	Remaps the value of input In from between the values of input Out Min Max to between the values of input In Min Max.
Saturate	Returns the value of input In clamped between 0 and 1.

Round

Topic	Description
Ceiling	Returns the smallest integer value, or whole number, that is greater than or equal to the value of input In.
Floor	Returns the largest integer value, or whole number, that is less than or equal to the value of input In.
Round	Returns the value of input In rounded to the nearest integer, or whole number.
Sign	Returns -1 if the value of input In is less than zero, 0 if equal to zero and 1 if greater than zero.
Step	Returns 1 if the value of input In is greater than or equal to the value of input Edge, otherwise returns 0.
Truncate	Returns the integer, or whole number, component of the value of input In.

Trigonometry

Topic	Description
Arccosine	Returns the arccosine of each component the input In as a vector of equal length.
Arcsine	Returns the arcsine of each component the input In as a vector of equal length.
Arctangent	Returns the arctangent of the value of input In. Each component should be within the range of -Pi/2 to Pi/2.
Arctangent2	Returns the arctangent of the values of both input A and input B.
Cosine	Returns the cosine of the value of input In.
Degrees to Radians	Returns the value of input In converted from degrees to radians.
Hyperbolic Cosine	Returns the hyperbolic cosine of input In.
Hyperbolic Sine	Returns the hyperbolic sine of input In.
Hyperbolic Tangent	Returns the hyperbolic tangent of input In.
Radians to Degrees	Returns the value of input In converted from radians to degrees.
Sine	Returns the sine of the value of input In.
Tangent	Returns the tangent of the value of input In.

Vector

Topic	Description
Cross Product	Returns the cross product of the values of the inputs A and B.
Distance	Returns the Euclidean distance between the values of the inputs A and B.
Dot Product	Returns the dot product, or scalar product, of the values of the inputs A and B.
Fresnel Effect	Fresnel Effect is the effect of differing reflectance on a surface depending on viewing angle, where as you approach the grazing angle more light is reflected.
Projection	Returns the result of projecting the value of input A onto a straight line parallel to the value of input B.
Reflection	Returns a reflection vector using input In and a surface normal Normal.
Rejection	Returns the result of the projection of the value of input A onto the plane orthogonal, or perpendicular, to the value of input B.
Rotate About Axis	Rotates the input vector In around the axis Axis by the value of Rotation.
Sphere Mask	Creates a sphere mask originating from input Center.
Transform	Returns the result of transforming the value of input In from one coordinate space to another.

Wave

Topic	Description
Noise Sine Wave	Returns the sine of the value of input In. For variance, random noise is added to the amplitude of the sine wave.
Sawtooth Wave	Returns a sawtooth wave from the value of input In.
Matrix Split	Splits a square matrix defined by input In into vectors.
Matrix Transpose	Returns the transposed value of the matrix defined by input In.