flip: Gradual Polarity Inversion Function

Controlled Transition Between Value and Its Complement

The flip function performs gradual polarity inversion by interpolating between a value and its complement (1-v). This enables controlled negative effects and bidirectional value transformations.

Mathematical Definition

For input value $v$ and transition parameter $p \in [0,1]$: $flip(v, p) = v(1-p) + (1-v)p = v + p(1-2v)$

Transition States

Parameter	Mathematical Expression	Visual Result	Application
$p = 0$	$flip(v, 0) = v$	Original value	No inversion
$p = 0.5$	$flip(v, 0.5) = 0.5$	Neutral gray	50% inversion
$p = 1$	$flip(v, 1) = 1-v$	Complete complement	Full inversion

Bidirectional Property

The function exhibits symmetric behavior around the midpoint:

• Forward: $v \rightarrow 1-v$ as $p: 0 \rightarrow 1$
• Reverse: $1-v \rightarrow v$ as $p: 0 \rightarrow 1$ applied to $(1-v)$

ライブエディター

const fragment = () => {
      const wave = uv.y.mul(20).add(iTime).sin().mul(0.5).add(0.5)
      const grad = uv.x.mul(wave)
      const color = vec3(uv.x, wave, grad)
      const amount = iTime.sin().abs()
      const flipped = flip(color, amount)
      return vec4(flipped, 1)
}