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Math Float Shaders

Table Of Contents


Introduction

Redshift supports a wide variety of commonly used math operation shaders for both scalar (float) values and vectors. All math nodes that process float values are listed here:


Abs

Returns the absolute value of Input. For example, a value of -1.0 will be returned as 1.0.


Add

Returns Input 1 + Input 2.


ArcCosine

Returns the arc-cosine of Input. When Radians is selected, the output range will be between 0 and PI, otherwise 0 and 180 degrees.


ArcSine

Returns the arc-sine of Input. When Radians is selected, the output range will be between -PI/2 and PI/2, otherwise -90 and 90 degrees.


ArcTan2

Returns the arc-tangent of Input 1 and Input 2. When Radians is selected, the output range will be between -PI/2 and PI/2, otherwise -90 and 90 degrees.


ArcTangent

Returns the arc-tangent of Input. When Radians is selected, the output range will be between -PI/2 and PI/2, otherwise -90 and 90 degrees.


Bias

Returns a curved bias of Input by Bias, using the following Ken Perlin formula: pow(Input, log(Bias)/log(0.5))


Change Range

Returns Input remapped from Old Range values to New Range values, with an optional clamp.


Cosine

Returns the cosine of Input. When Radians is selected, the input will be assumed to be in radians, otherwise degrees.


Div

Returns Input 1 / Input 2.


Exp

Returns the exponential of Input, using the following formula: e^ Input


This is the inverse function of Ln.


Floor

Returns the integer part of Input. For example, 1.5 will be returned as 1.0.


Frac


Returns the fractional part of Input. For example, 1.5 will be returned as 0.5.


Gain

Returns a contrast gain of Input by Gain, using the following Ken Perlin formula: 

Bias( 2 * Input, 1 - Gain ) * 0.5               ; if Input < 0.5

1 - Bias(  2 - 2 * Input, 1 - Gain ) * 0.5    ; otherwise


Invert


Returns the 1 - Input.


Ln

Returns the natural logarithm (to base e) of Input.


This is the inverse function of Exp.


Log

Returns the logarithm of Input to Base.


This is the inverse function of Pow.


Max

Returns the maximum of Input 1 and Input 2.


Min

Returns the minimum of Input 1 and Input 2.


Mix

Returns Input 1 linearly interpolated to Input 2 by Mix. When Mix is 0.0, Input 1 will be returned. When Mix is 1.0, Input 2 will be returned.


Mod

Returns the modulo of Input by Divisor. For example 7 modulo 5 will be returned as 2.


This is the remainder of Input / Divisor.


Mul

Returns Input 1 * Input 2.


Neg

Returns 0 - Input.


Pow

Returns Base^ Exponent.


This is the inverse function of Log.


Rcp

Returns 1 / Input.


Saturate

Returns Input clamped to values between 0 and 1, inclusively. For example -1.5 will be returned as 0.0 and 1.5 will be returned as 1.0.


Sign

Returns -1 if Input is a negavitve number and 1 otherwise.


Sine

Returns the sine of Input. When Radians is selected, the input will be assumed to be in radians, otherwise degrees.


Sqrt

Returns the square-root of Input.


Sub

Returns Input 1 - Input 2.


Tangent

Returns the tangent of Input. When Radians is selected, the input will be assumed to be in radians, otherwise degrees.