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import { Vector2, MathUtils, Vector3 } from 'three'; | ||
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const f = new Vector2(); | ||
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/** | ||
* Decode an octahedron-encoded normal (as a pair of 8-bit unsigned numbers) into a Vector3. | ||
* | ||
* Resources: | ||
* - https://stackoverflow.com/a/74745666/2704779 | ||
* - https://knarkowicz.wordpress.com/2014/04/16/octahedron-normal-vector-encoding/ | ||
* @param {number} x The unsigned 8-bit X coordinate on the projected octahedron. | ||
* @param {number} y The unsigned 8-bit Y coordinate on the projected octahedron. | ||
* @param {Vector3} [target] The target vector. | ||
*/ | ||
export function decodeOctNormal( x, y, target = new Vector3() ) { | ||
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f.set( x, y ).divideScalar( 256 ).multiplyScalar( 2 ).subScalar( 1 ); | ||
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target.set( f.x, f.y, 1 - Math.abs( f.x ) - Math.abs( f.y ) ); | ||
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const t = MathUtils.clamp( - target.z, 0, 1 ); | ||
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if ( target.x >= 0 ) { | ||
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target.setX( target.x - t ); | ||
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} else { | ||
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target.setX( target.x + t ); | ||
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} | ||
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if ( target.y >= 0 ) { | ||
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target.setY( target.y - t ); | ||
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} else { | ||
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target.setY( target.y + t ); | ||
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} | ||
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target.normalize(); | ||
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return target; | ||
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} |
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import { decodeOctNormal } from '../src/utilities/decodeOctNormal'; | ||
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const PRECISION = 0.005; | ||
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describe( 'decodeOctNormal', () => { | ||
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it.each( [ | ||
// 4 corners of the projected octahedron | ||
[ 0, 0, 0, 0, - 1 ], | ||
[ 255, 255, 0, 0, - 1 ], | ||
[ 0, 255, 0, 0, - 1 ], | ||
[ 255, 0, 0, 0, - 1 ], | ||
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// Center of the projected octahedron | ||
[ 127, 127, 0, 0, 1 ], | ||
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// Midpoint of left edge of the projected octahedron | ||
[ 0, 127, - 1, 0, 0 ], | ||
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// Midpoint of right edge of the projected octahedron | ||
[ 255, 127, 1, 0, 0 ], | ||
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// Midpoint of top edge of the projected octahedron | ||
[ 127, 255, 0, 1, 0 ], | ||
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// Midpoint of bottom edge of the projected octahedron | ||
[ 127, 0, 0, - 1, 0 ], | ||
] )( 'should decode (%s, %s) into [%s, %s, %s]', ( encX, encY, x, y, z ) => { | ||
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const result = decodeOctNormal( encX, encY ); | ||
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expect( result.length() ).toBeCloseTo( 1, PRECISION ); | ||
expect( result.x ).toBeCloseTo( x, PRECISION ); | ||
expect( result.y ).toBeCloseTo( y, PRECISION ); | ||
expect( result.z ).toBeCloseTo( z, PRECISION ); | ||
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} ); | ||
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} ); |