| 
									
										
										
										
											2024-09-14 06:41:52 +00:00
										 |  |  | float random( vec2 uv )  | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |   return fract( sin( dot( uv.xy, vec2( 12.9898, 78.233 ) ) ) * 43758.5453123 ); | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2025-01-03 12:09:23 +00:00
										 |  |  | vec2 random_v2( vec2 uv )  | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	return vec2( fract( sin( dot( uv.xy, vec2( 12.9898,78.233 ) ) ) * 43758.5453123 ) ); | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | vec3 random_v3( vec3 uvw ) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  |   uvw = vec3( dot(uvw, vec3(127.1,311.7, 513.7) ), | 
					
						
							|  |  |  |               dot(uvw, vec3(269.5,183.3, 396.5) ), | 
					
						
							|  |  |  |         dot(uvw, vec3(421.3,314.1, 119.7) ) ); | 
					
						
							|  |  |  |      | 
					
						
							|  |  |  |   return -1.0 + 2.0 * fract(sin(uvw) * 43758.5453123); | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | float perlin( vec2 uv )  | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |   vec2 uv_index = floor(uv); | 
					
						
							|  |  |  |   vec2 uv_fract = fract(uv); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   vec2 blur = smoothstep(0.0, 1.0, uv_fract); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   return mix( mix( dot( random_v2(uv_index + vec2(0.0,0.0) ), uv_fract - vec2(0.0,0.0) ), | 
					
						
							|  |  |  |                     dot( random_v2(uv_index + vec2(1.0,0.0) ), uv_fract - vec2(1.0,0.0) ), blur.x), | 
					
						
							|  |  |  |               mix( dot( random_v2(uv_index + vec2(0.0,1.0) ), uv_fract - vec2(0.0,1.0) ), | 
					
						
							|  |  |  |                     dot( random_v2(uv_index + vec2(1.0,1.0) ), uv_fract - vec2(1.0,1.0) ), blur.x), blur.y) + 0.5; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | float perlin3D( vec3 uvw ) | 
					
						
							|  |  |  | {	 | 
					
						
							|  |  |  | 	vec3 gridIndex = floor( uvw );  | 
					
						
							|  |  |  | 	vec3 gridFract = fract( uvw ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	vec3 blur = smoothstep( 0.0, 1.0, gridFract ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	vec3 blb = gridIndex + vec3(0.0, 0.0, 0.0); | 
					
						
							|  |  |  | 	vec3 brb = gridIndex + vec3(1.0, 0.0, 0.0); | 
					
						
							|  |  |  | 	vec3 tlb = gridIndex + vec3(0.0, 1.0, 0.0); | 
					
						
							|  |  |  | 	vec3 trb = gridIndex + vec3(1.0, 1.0, 0.0); | 
					
						
							|  |  |  | 	vec3 blf = gridIndex + vec3(0.0, 0.0, 1.0); | 
					
						
							|  |  |  | 	vec3 brf = gridIndex + vec3(1.0, 0.0, 1.0); | 
					
						
							|  |  |  | 	vec3 tlf = gridIndex + vec3(0.0, 1.0, 1.0); | 
					
						
							|  |  |  | 	vec3 trf = gridIndex + vec3(1.0, 1.0, 1.0); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	vec3 gradBLB = random_v3( blb );  | 
					
						
							|  |  |  | 	vec3 gradBRB = random_v3( brb ); | 
					
						
							|  |  |  | 	vec3 gradTLB = random_v3( tlb ); | 
					
						
							|  |  |  | 	vec3 gradTRB = random_v3( trb ); | 
					
						
							|  |  |  | 	vec3 gradBLF = random_v3( blf ); | 
					
						
							|  |  |  | 	vec3 gradBRF = random_v3( brf ); | 
					
						
							|  |  |  | 	vec3 gradTLF = random_v3( tlf ); | 
					
						
							|  |  |  | 	vec3 gradTRF = random_v3( trf ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	vec3 distToPixelFromBLB = gridFract - vec3( 0.0, 0.0, 0.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromBRB = gridFract - vec3( 1.0, 0.0, 0.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromTLB = gridFract - vec3( 0.0, 1.0, 0.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromTRB = gridFract - vec3( 1.0, 1.0, 0.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromBLF = gridFract - vec3( 0.0, 0.0, 1.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromBRF = gridFract - vec3( 1.0, 0.0, 1.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromTLF = gridFract - vec3( 0.0, 1.0, 1.0 ); | 
					
						
							|  |  |  | 	vec3 distToPixelFromTRF = gridFract - vec3( 1.0, 1.0, 1.0 ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	float dotBLB = dot( gradBLB, distToPixelFromBLB ); | 
					
						
							|  |  |  | 	float dotBRB = dot( gradBRB, distToPixelFromBRB ); | 
					
						
							|  |  |  | 	float dotTLB = dot( gradTLB, distToPixelFromTLB ); | 
					
						
							|  |  |  | 	float dotTRB = dot( gradTRB, distToPixelFromTRB ); | 
					
						
							|  |  |  | 	float dotBLF = dot( gradBLF, distToPixelFromBLF ); | 
					
						
							|  |  |  | 	float dotBRF = dot( gradBRF, distToPixelFromBRF ); | 
					
						
							|  |  |  | 	float dotTLF = dot( gradTLF, distToPixelFromTLF ); | 
					
						
							|  |  |  | 	float dotTRF = dot( gradTRF, distToPixelFromTRF ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	return mix( | 
					
						
							|  |  |  | 		mix( mix(dotBLB, dotBRB, blur.x),	mix(dotTLB, dotTRB, blur.x), blur.y	), | 
					
						
							|  |  |  | 		mix( mix(dotBLF, dotBRF, blur.x),	mix(dotTLF, dotTRF, blur.x), blur.y ),  | 
					
						
							|  |  |  |     blur.z | 
					
						
							|  |  |  | 	) + 0.5; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | float perlinPolar( vec2 uv ) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |   return perlin( uv ) * 2.0 - 1.0; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2024-09-14 06:41:52 +00:00
										 |  |  | 
 | 
					
						
							|  |  |  | float worley( vec2 uv, float columns, float rows )  | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	vec2 index_uv = floor( vec2( uv.x * columns, uv.y * rows ) ); | 
					
						
							|  |  |  | 	vec2 fract_uv = fract( vec2( uv.x * columns, uv.y * rows ) ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	float minimum_dist = 1.0;   | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	for ( int y= -1; y <= 1; y++ )  | 
					
						
							|  |  |  |   { | 
					
						
							|  |  |  | 		for ( int x= -1; x <= 1; x++ )  | 
					
						
							|  |  |  |     { | 
					
						
							|  |  |  | 			vec2 neighbor = vec2( float( x ), float( y ) ); | 
					
						
							| 
									
										
										
										
											2025-01-03 12:09:23 +00:00
										 |  |  | 			vec2 point = random_v2( index_uv + neighbor ); | 
					
						
							| 
									
										
										
										
											2024-09-14 06:41:52 +00:00
										 |  |  | 			 | 
					
						
							|  |  |  | 			vec2 diff = neighbor + point - fract_uv; | 
					
						
							|  |  |  | 			float dist = length (diff ); | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 			minimum_dist = min( minimum_dist, dist ); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	return minimum_dist; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | vec2 voronoi( vec2 uv, float columns, float rows )  | 
					
						
							|  |  |  | {	 | 
					
						
							|  |  |  | 	vec2 index_uv = floor( vec2( uv.x * columns, uv.y * rows ) ); | 
					
						
							|  |  |  | 	vec2 fract_uv = fract( vec2( uv.x * columns, uv.y * rows ) ); | 
					
						
							|  |  |  | 	 | 
					
						
							|  |  |  | 	float minimum_dist = 1.0;   | 
					
						
							|  |  |  | 	vec2 minimum_point; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	for ( int y= -1; y <= 1; y++ )  | 
					
						
							|  |  |  |   { | 
					
						
							|  |  |  | 		for ( int x= -1; x <= 1; x++ )  | 
					
						
							|  |  |  |     { | 
					
						
							|  |  |  | 			vec2 neighbor = vec2( float( x ), float( y ) ); | 
					
						
							| 
									
										
										
										
											2025-01-03 12:09:23 +00:00
										 |  |  | 			vec2 point = random_v2( index_uv + neighbor ); | 
					
						
							| 
									
										
										
										
											2024-09-14 06:41:52 +00:00
										 |  |  | 
 | 
					
						
							|  |  |  | 			vec2 diff = neighbor + point - fract_uv; | 
					
						
							|  |  |  | 			float dist = length( diff ); | 
					
						
							|  |  |  |    | 
					
						
							|  |  |  | 			if ( dist < minimum_dist ) | 
					
						
							|  |  |  |       { | 
					
						
							|  |  |  | 				minimum_dist = dist; | 
					
						
							|  |  |  | 				minimum_point = point; | 
					
						
							|  |  |  | 			} | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 	return minimum_point; | 
					
						
							| 
									
										
										
										
											2025-01-03 12:09:23 +00:00
										 |  |  | } | 
					
						
							|  |  |  | 
 |