Math
All Node Variations¶
All Math operations have the ability to blend (Mix) between value 1 and the result of the operation
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.
\(Value 1 + Value 2\)
Example
\(1 + 2 = 3\)
Subtract¶
The difference between the two values
\(Value 1 - Value 2\)
Example
\(1 - 2 = -1\)
Multiply¶
The product of the two values
\(Value 1 * Value 2\)
Example
\(3 * 2 = 6\)
Divide¶
The division of the first value by the second value.
\(Value 1 / Value 2\)
Example
\(\frac{6}{2} = 3\)
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.
\(Base^Exponent\)
Example
\(3^2 = 9\)
Logarithm¶
The log of the value with a Base as its base.
\(log_{Base}(Value)\)
Example
\(log_3(3) = 1.0986122886681098\)
Square Root¶
The square root of the value.
\(\sqrt{Value}\)
Example
\(\sqrt{4} = 2\)
Inverse Square Root¶
One divided by the square root of the value.
\(\frac{1}{\sqrt{Value}}\)
Example
\(\frac{1}{\sqrt{4}} = 0.5\)
Absolute¶
The input value is read with without regard to its sign. This turns negative values into positive values.
\(| Value |\)
Example
- \(| -2 | = 2\)
- \(| 5 | = 5\)
Exponent¶
Raises Euler’s number to the power of the value.
\(e^{Value}\)
Example
\(e^5 = 148.41315910257657\)
Minimum¶
Outputs the smallest of the input values. Returns the smallest value
\(\min({Value 1}, {Value 2})\)
Example
- \(\min({3}, {7}) = 3\)
- \(\min({10}, {-8}) = -8\)
Maximum¶
Outputs the largest of two input values. Returns the largest value
\(\max({Value 1}, {Value 2})\)
Example
- \(\max({3}, {7}) = 7\)
- \(\max({10}, {-8}) = 10\)
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
\(Value < Threshold\)
Example
- \(3 < 7 = 1 (True)\)
- \(10 < -8 = 0 (False)\)
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
\(Value > Threshold\)
Example
- \(3 > 7 = 0 (False)\)
- \(10 > -8 = 1 (True)\)
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.
Example
- \(sign(3) = 1.0\)
- \(sign(-50.758) = -1.0\)
- \(sign(0) = 0.0\)
Compare¶
Outputs 1.0 if the difference between Value 1 and Value 2 is less than or equal to Epsilon.
\(|Value 1 - Value 2| \leq Epsilon\)
Example
- \(|0.5 - 0.7| \leq 0.0\)
- Returns 0.0 (False)
- \(|0.5 - 0.7| \leq 0.2\)
- Returns 1.0 (True)
Smooth Minimum¶
Like the Minimum function but rounded instead of pointed (linear)
Smooth Maximum¶
Like the Maximum function but rounded instead of pointed (linear)
Round¶
Round Value to nearest whole number
Example
- \(round(0.5) = 0.0\)
- \(round(0.51) = 1.0\)
- \(round(5.25) = 5.0\)
- \(round(5.75) = 6.0\)
Floor¶
Round Value down to a whole number
Example
- \(floor(0.5) = 0.0\)
- \(floor(0.51) = 0.0\)
- \(floor(5.25) = 5.0\)
- \(floor(5.75) = 5.0\)
Ceil¶
Round Value up to a whole number
Example
- \(ceil(0.5) = 1.0\)
- \(ceil(0.51) = 1.0\)
- \(ceil(5.25) = 6.0\)
- \(ceil(5.75) = 6.0\)
Fraction¶
Returns everything after the decimal point of Value
Example
- \(fraction(0.5) = 0.5\)
- \(fraction(0.51) = 0.51\)
- \(fraction(5.25) = 0.25\)
- \(fraction(5.75) = 0.75\)
Truncate¶
Outputs the integer part of the Value
Example
- \(truncate(0.5) = 0.0\)
- \(truncate(0.51) = 0.0\)
- \(truncate(5.25) = 5.0\)
- \(truncate(5.75) = 5.0\)
Modulo¶
Outputs the remainder once Value 1 is divided by Value 2.
\(Value 1 \% Value 2\)
OR
\(Value 1 - Value 2 * floor(\frac{Value 1}{Value 2})\)
Example
- \(5 \% 3 = 2\)
- \(5 \% 2 = 1\)
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.
Example
Assume: Min = 0.0, Max = 0.2
- \(wrap(0.05) = 0.05\)
- \(wrap(0.175) = 0.175\)
- \(wrap(0.2) = 0.0\)
- \(wrap(0.2 + 0.05) = 0.05\)
- \(wrap(0.2 + 3.175) = 0.1\)
Snap¶
Round Value down to the nearest integer multiple of Increment.
\(floor( Value 1, Increment ) * Increment\)
Example
- \(snap(0.5, 0.2) = 0.4\)
- \(snap(0.51, 0.2) = 0.4\)
- \(snap(7.25, 1) = 7\)
- \(snap(5.75, 1) = 5\)
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
Example
Assume Scale = 0.2
- \(pingpong(0.05) = 0.05\)
- \(pingpong(0.175) = 0.175\)
- \(pingpong(0.2) = 0.2\)
- \(pingpong(0.2 + 0.05) = 0.195\)
- \(pingpong(0.2 + 0.175) = 0.025\)
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
\(\arcsin(Value)\)
Arccosine¶
The Arccosine of Value
\(\arccos(Value)\)
Arctangent¶
The Arctangent of Value
\(\arctan(Value)\)
Arctan2¶
Outputs the Inverse Tangent of the first value divided by the second value measured in radians.
\(\arctan2(Value)\)
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
\(Degrees * \frac{\pi}{180}\)
Example
- \(toRadians(180) = \pi\)
- \(toRadians(90) = \frac{\pi}{2}\)
To Degrees¶
Converts Radians to degrees
\(Radians * \frac{180}{\pi}\)
Example
- \(toDegrees(\pi) = 180\)
- \(toDegrees(\frac{\pi}{2}) = 90\)
Clamp¶
Limits the output to be between the Min and Max
\(clamp(Value, Min, Max) = \max(Min, \min(Max, Value))\)
Example
- \(clamp(-1, 0, 1) = 0\)
- \(clamp(2, 0, 1) = 1\)
- \(clamp(0.56, 0, 1) = 0.56\)