center: Coordinate Centering Transformation

Converting unit coordinates to centered coordinate system

The center functions transform coordinates from the unit range $[0,1]$ to the centered range $[-1,1]$. This operation centers coordinates around the origin, essential for symmetric operations and distance calculations.

Mathematical Foundation

For any coordinate value $x$ in the range $[0,1]$:

$x_{centered} = 2x - 1$

This linear transformation maps:

• $0 \rightarrow -1$ (minimum)
• $0.5 \rightarrow 0$ (center)
• $1 \rightarrow 1$ (maximum)

Function Variants

Function	Input Type	Output Type	Description
centerFloat(x)	float	float	Centers scalar value
centerVec2(v)	vec2	vec2	Centers 2D vector components
centerVec3(v)	vec3	vec3	Centers 3D vector components

ライブエディター

const fragment = () => {
      const centered = centerVec2(uv)
      const voronoi = centered.length().mul(centered.x.mul(centered.y).mul(100)).fract()
      const pattern = voronoi.step(0.8)
      return vec4(vec3(pattern), 1)
}