66 lines
1.7 KiB
Plaintext
66 lines
1.7 KiB
Plaintext
// #include "res://addons/rokojori_action_library/Runtime/Shading/Library/Bezier.gdshaderinc"
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float cubicBezier( float t, float p0, float p1, float p2, float p3 )
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{
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float bp0 = ( 1.0 - t ) * ( 1.0 - t ) * ( 1.0 - t );
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float bp1 = 3.0 * ( 1.0 - t ) * ( 1.0 - t ) * t;
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float bp2 = 3.0 * ( 1.0 - t ) * t * t;
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float bp3 = t * t * t;
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return p0 * bp0 + p1 * bp1 + p2 * bp2 + p3 * bp3;
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}
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vec2 cubicBezier( float t, vec2 p0, vec2 p1, vec2 p2, vec2 p3 )
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{
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float bp0 = ( 1.0 - t ) * ( 1.0 - t ) * ( 1.0 - t );
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float bp1 = 3.0 * ( 1.0 - t ) * ( 1.0 - t ) * t;
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float bp2 = 3.0 * ( 1.0 - t ) * t * t;
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float bp3 = t * t * t;
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return p0 * bp0 + p1 * bp1 + p2 * bp2 + p3 * bp3;
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}
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vec3 cubicBezier( float t, vec3 p0, vec3 p1, vec3 p2, vec3 p3 )
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{
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float bp0 = ( 1.0 - t ) * ( 1.0 - t ) * ( 1.0 - t );
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float bp1 = 3.0 * ( 1.0 - t ) * ( 1.0 - t ) * t;
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float bp2 = 3.0 * ( 1.0 - t ) * t * t;
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float bp3 = t * t * t;
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return p0 * bp0 + p1 * bp1 + p2 * bp2 + p3 * bp3;
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}
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vec3 cubicBezierDerivative( float t, vec3 p0, vec3 p1, vec3 p2, vec3 p3 )
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{
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vec3 d0 = ( p1 - p0 );
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vec3 d1 = ( p2 - p1 );
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vec3 d2 = ( p3 - p2 );
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float bp0 = 3.0 * ( 1.0 - t ) * ( 1.0 - t );
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float bp1 = 6.0 * ( 1.0 - t ) * t;
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float bp2 = 3.0 * t * t;
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return d0 * bp0 + d1 * bp1 + d2 * bp2;
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}
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vec3 rationalCubicBezier( float t,
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vec3 p0, vec3 p1, vec3 p2, vec3 p3,
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float w0, float w1, float w2, float w3
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)
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{
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float bp0 = ( 1.0 - t ) * ( 1.0 - t ) * ( 1.0 - t ) * w0;
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float bp1 = 3.0 * ( 1.0 - t ) * ( 1.0 - t ) * t * w1;
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float bp2 = 3.0 * ( 1.0 - t ) * t * t * w2;
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float bp3 = t * t * t * w3;
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vec3 weighted = p0 * bp0 + p1 * bp1 + p2 * bp2 + p3 * bp3;
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float projection = bp0 + bp1 + bp2 + bp3;
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return weighted / projection;
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}
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