blendNegation: Symmetric Color Equilibrium

Unity-Centered Symmetric Balance

Negation blending creates symmetric color relationships through a unity-centered equilibrium function. The mathematical formula generates white when base and blend values sum to unity, establishing a balanced pivot point for color interactions. Below this equilibrium, colors combine additively; above it, they invert subtractively.

The mathematical definition centers on unity equilibrium:

$$C_{result} = 1 - |1 - C_{base} - C_{blend}|$$

This creates a symmetric relationship where the sum $(C_{base} + C_{blend})$ determines output behavior around the critical point at unity.

Symmetric Equilibrium Properties

Property	Description	Mathematical Expression
Unity Pivot	White generation at sum unity	$C_{base} + C_{blend} = 1 \Rightarrow C_{result} = 1$
Additive Domain	Direct addition below unity	$C_{base} + C_{blend} < 1 \Rightarrow C_{result} = C_{base} + C_{blend}$
Subtractive Domain	Inverted subtraction above unity	$C_{base} + C_{blend} > 1 \Rightarrow C_{result} = 2 - C_{base} - C_{blend}$
Perfect Symmetry	Mirror behavior around unity	$f(x) = f(2-x)$ where $x = C_{base} + C_{blend}$

Live Editor

const fragment = () => {
      const horizontalGrad = uv.x
      const verticalGrad = uv.y.oneMinus()
      const equilibrium = blendNegationVec3(
              vec3(horizontalGrad, 0.2, 0.3),
              vec3(verticalGrad, 0.8, 0.7)
      )
      return vec4(equilibrium, 1)
}