Math

Italicized words are the names of the inputs

Mix

• Blend the value inputs via the Fac(tor) input

Add

• The sum of the two values.
• Value 1 + Value 2
  - Ex: 1 + 2 = 3

Subtract

• The difference between the two values
• Value 1 - Value 2
  - Ex: 1 - 2 = -1

Multiply

• The product of the two values
• Value 1 * Value 2
  - Ex: 3 * 2 = 6

Divide

• The division of the first value by the second value.
• Value 1 / Value 2
  - Ex: 6 / 2 = 3

Multiply Add

• The sum of the product of the two values with Addend.
• Value * Multiplier + Addend

Power

• The Base raised to the power of Exponent.
• Base^{Exponent
  ‍}- Ex: 32 = 9

Logarithm

• The log of the value with a Base as its base.
• log_Base(Value)
  - Ex: log(3) = 1.0986122886681098

Square Root

• The square root of the value.
• √Value
  - Ex: √4 = 2

Inverse Square Root

• One divided by the square root of the value.
• 1 / √Value
  - Ex: 1 / √4 = 0.5

Absolute

• The input value is read with without regard to its sign. This turns negative values into positive values.
• | Value |
  - Ex: | -2 | = 2
  - Ex: | 5 | = 5

Exponent

• Raises Euler’s number to the power of the value.
• e^Value
• e5 = 148.41315910257657

Minimum

• Outputs the smallest of the input values.
• Returns the smallest value min(Value 1, Value 2)

• min(3,7) = 3
• min(10,-8) = -8

Maximum

• Outputs the largest of two input values.
• Returns the largest value max(Value 1, Value 2)
  - max(3,7) = 7
  - max(10,-8) = 10

Less Than

• Outputs 1.0 if the first value is smaller than the second value. Otherwise the output is 0.0.
• Returns 1 if True, 0 if False Value < Threshold
  - 3 < 7 = 1 (True)
  - 10 < -8 = 0 (False)

Greater Than

• Outputs 1.0 if the first value is larger than the second value. Otherwise the output is 0.0.
• Returns 1 if True, 0 if False Value > Threshold
  - 3 > 7 = 0 (False)
  - 10 > -8 = 1 (True)

Sign

• Extracts the sign of Value. All positive numbers will output 1.0. All negative numbers will output -1.0. And 0.0 will output 0.0.
  - sign(3) = 1.0
  - sign(-50.758) = -1.0
  - sign(0) = 0.0

Compare

• Outputs 1.0 if the difference between Value 1 and Value 2 is less than or equal to Epsilon.
  - Value 1 = 0.5
  - Value 2 = 0.7
       - Epsilon = 0.0
            - Returns 0.0
       - Epsilon = 0.2
            - Returns 1.0

Smooth Minimum

• Like the Minimum function but rounded instead of pointed (linear)
• Smooth Minimum

Smooth Maximum

• Like the Maximum function but rounded instead of pointed (linear)
• Smooth Maximum

Round

• Round Value to nearest whole number
  - 0.5 = 0.0
  - 0.51 = 1.0
  - 5.25 = 5.0
  - 5.75 = 6.0

Floor

• Round Value down to a whole number
  - 0.5 = 0.0
  - 0.51 = 0.0
  - 5.25 = 5.0
  - 5.75 = 5.0

Ceil

• Round Value up to a whole number
  - 0.5 = 1.0
  - 0.51 = 1.0
  - 5.25 = 1.0
  - 5.75 = 1.0

Fraction

• Returns everything after the decimal point of Value
  - 0.5 = 0.5
  - 0.51 = 0.51
  - 5.25 = 0.25
  - 5.75 = 0.75

Truncate

• Outputs the integer part of the Value
  - 0.5 = 0.5
  - 0.51 = 0.51
  - 5.25 = 0.25
  - 5.75 = 0.75

Modulo

• Outputs the remainder once Value 1 is divided by Value 2.
  - 5 % 3 = 2
  - 5 % 2 = 1

Wrap

• Outputs a value between Min and Max based on the absolute difference between Value and the nearest integer multiple of Max less than the Value.
• Assume Min is 0.0 and Max is 0.1. The result of wrap increase as Value increase. BUT once Value = Max the result goes back to 0.0 and starts over.
  - Min = 0.0
  - Max = 0.2
       - wrap(0.05) = 0.05
       - wrap(0.175) = 0.175
       - wrap(0.2) = 0.0
       - wrap(0.2 + 0.05) = 0.05
       - wrap(0.2 + 3.175) = 0.175

Snap

• Round Value down to the nearest integer multiple of Increment.
• floor( Value 1 / Increment ) * Increment

Ping-Pong

• The output value is moved between 0.0 and the Scale based on the input value.
• Like Wrap but with a linear progression back down to 0 instead of instantly at 0
  - Scale = 0.2
       - ping-pong(0.05) = 0.05
       - ping-pong(0.175) = 0.175
       - ping-pong(0.2) = 0.2
       - ping-pong(0.2 + 0.05) = 0.195
       - ping-pong(0.2 + 0.175) = 0.025

Sine

• The Sine of Value
• sin(Value)

Cosine

• The Cosine of Value
• cos(Value)

Tangent

• The Tangent of Value
• tan(Value)

Arcsine

• The Arcsine of Value
• asinine(Value)

Arccosine

• The Arccosine of Value
• acos(Value)

Arctangent

• The Arctangent of Value
• atan(Value)

Arctan2

• Outputs the Inverse Tangent of the first value divided by the second value measured in radians.
• atan2(Value)

Hyperbolic Sine

• The Hyperbolic Sine of Value

Hyperbolic Cosine

• The Hyperbolic Cosine of Value

Hyperbolic Tangent

• The Hyperbolic Tangent of Value

To Radians

• Converts Degrees to radians

To Degrees

• Converts Radians to degrees

Clamp

• Limits the output to be between the Min and Max
  - Value: -1, Min: 0, Max: 1 = 0
  - Value: 2 Min: 0 Max: 1 = 1
  - Value: 0.56 Min: 0 Max: 1 = 0.56