mirror of
https://github.com/Relintai/broken_seals.git
synced 2024-11-13 20:47:19 +01:00
1202 lines
35 KiB
GDScript
1202 lines
35 KiB
GDScript
extends Reference
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enum CombinerAxisType {
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SINE,
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TRIANGLE,
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SQUARE,
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SAWTOOTH,
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CONSTANT,
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BOUNCE
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}
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enum CombinerType {
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MULTIPLY,
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ADD,
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MAX,
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MIN,
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XOR,
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POW
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}
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static func clampv3(v : Vector3, mi : Vector3, ma : Vector3) -> Vector3:
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v.x = clamp(v.x, mi.x, ma.x)
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v.y = clamp(v.y, mi.y, ma.y)
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v.y = clamp(v.z, mi.z, ma.z)
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return v
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static func floorc(a : Color) -> Color:
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var v : Color = Color()
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v.r = floor(a.r)
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v.g = floor(a.g)
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v.b = floor(a.b)
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v.a = floor(a.a)
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return v
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static func floorv2(a : Vector2) -> Vector2:
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var v : Vector2 = Vector2()
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v.x = floor(a.x)
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v.y = floor(a.y)
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return v
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static func smoothstepv2(a : float, b : float, c : Vector2) -> Vector2:
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var v : Vector2 = Vector2()
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v.x = smoothstep(a, b, c.x)
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v.y = smoothstep(a, b, c.y)
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return v
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static func maxv2(a : Vector2, b : Vector2) -> Vector2:
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var v : Vector2 = Vector2()
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v.x = max(a.x, b.x)
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v.y = max(a.y, b.y)
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return v
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static func maxv3(a : Vector3, b : Vector3) -> Vector3:
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var v : Vector3 = Vector3()
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v.x = max(a.x, b.x)
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v.y = max(a.y, b.y)
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v.z = max(a.z, b.z)
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return v
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static func absv2(v : Vector2) -> Vector2:
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v.x = abs(v.x)
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v.y = abs(v.y)
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return v
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static func absv3(v : Vector3) -> Vector3:
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v.x = abs(v.x)
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v.y = abs(v.y)
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v.y = abs(v.y)
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return v
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static func cosv2(v : Vector2) -> Vector2:
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v.x = cos(v.x)
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v.y = cos(v.y)
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return v
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static func cosv3(v : Vector3) -> Vector3:
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v.x = cos(v.x)
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v.y = cos(v.y)
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v.y = cos(v.y)
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return v
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static func modv3(a : Vector3, b : Vector3) -> Vector3:
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var v : Vector3 = Vector3()
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v.x = modf(a.x, b.x)
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v.y = modf(a.y, b.y)
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v.z = modf(a.z, b.z)
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return v
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static func modv2(a : Vector2, b : Vector2) -> Vector2:
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var v : Vector2 = Vector2()
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v.x = modf(a.x, b.x)
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v.y = modf(a.y, b.y)
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return v
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static func modf(x : float, y : float) -> float:
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return x - y * floor(x / y)
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static func fractv2(v : Vector2) -> Vector2:
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v.x = v.x - floor(v.x)
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v.y = v.y - floor(v.y)
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return v
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static func fractv3(v : Vector3) -> Vector3:
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v.x = v.x - floor(v.x)
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v.y = v.y - floor(v.y)
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v.z = v.z - floor(v.z)
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return v
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static func fract(f : float) -> float:
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return f - floor(f)
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static func clampv2(v : Vector2, pmin : Vector2, pmax : Vector2) -> Vector2:
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v.x = clamp(v.x, pmin.x, pmax.x)
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v.y = clamp(v.y, pmin.y, pmax.y)
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return v
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static func rand(x : Vector2) -> float:
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return fract(cos(x.dot(Vector2(13.9898, 8.141))) * 43758.5453);
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static func rand2(x : Vector2) -> Vector2:
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return fractv2(cosv2(Vector2(x.dot(Vector2(13.9898, 8.141)),
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x.dot(Vector2(3.4562, 17.398)))) * 43758.5453);
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static func rand3(x : Vector2) -> Vector3:
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return fractv3(cosv3(Vector3(x.dot(Vector2(13.9898, 8.141)),
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x.dot(Vector2(3.4562, 17.398)),
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x.dot(Vector2(13.254, 5.867)))) * 43758.5453);
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static func step(edge : float, x : float) -> float:
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if x < edge:
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return 0.0
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else:
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return 1.0
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static func rgb_to_hsv(c : Vector3) -> Vector3:
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var K : Color = Color(0.0, -1.0 / 3.0, 2.0 / 3.0, -1.0);
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var p : Color
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if c.y < c.z:
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p = Color(c.z, c.y, K.a, K.b)
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else:
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p = Color(c.y, c.z, K.r, K.g);
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var q : Color
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if c.x < p.r:
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q = Color(p.r, p.g, p.a, c.x)
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else:
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q = Color(c.x, p.g, p.b, p.r);
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var d : float = q.r - min(q.a, q.g);
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var e : float = 1.0e-10;
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return Vector3(abs(q.b + (q.a - q.g) / (6.0 * d + e)), d / (q.r + e), q.r);
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static func hsv_to_rgb(c : Vector3) -> Vector3:
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var K : Color = Color(1.0, 2.0 / 3.0, 1.0 / 3.0, 3.0);
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var p : Vector3 = absv3(fractv3(Vector3(c.x, c.x, c.x) + Vector3(K.r, K.g, K.b)) * 6.0 - Vector3(K.a, K.a, K.a));
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return c.z * lerp(Vector3(K.r, K.r, K.r), clampv3(p - Vector3(K.r, K.r, K.r), Vector3(), Vector3(1, 1, 1)), c.y);
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static func transform(uv : Vector2, translate : Vector2, rotate : float, scale : Vector2, repeat : bool) -> Vector2:
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var rv : Vector2 = Vector2();
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uv -= translate;
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uv -= Vector2(0.5, 0.5);
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rv.x = cos(rotate)*uv.x + sin(rotate)*uv.y;
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rv.y = -sin(rotate)*uv.x + cos(rotate)*uv.y;
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rv /= scale;
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rv += Vector2(0.5, 0.5);
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if (repeat):
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return fractv2(rv);
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else:
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return clampv2(rv, Vector2(0, 0), Vector2(1, 1));
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static func color_dots(uv : Vector2, size : float, pseed : int) -> Vector3:
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var seed2 : Vector2 = rand2(Vector2(float(pseed), 1.0 - float(pseed)));
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uv /= size;
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var point_pos : Vector2 = floorv2(uv) + Vector2(0.5, 0.5);
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return rand3(seed2 + point_pos);
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static func voronoi(uv : Vector2, size : Vector2, stretch : Vector2, intensity : float, randomness : float, pseed : int) -> Color:
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var seed2 : Vector2 = rand2(Vector2(float(pseed), 1.0-float(pseed)));
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uv *= size;
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var best_distance0 : float = 1.0;
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var best_distance1 : float = 1.0;
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var point0 : Vector2;
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var point1 : Vector2;
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var p0 : Vector2 = floorv2(uv);
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for dx in range(-1, 2):# (int dx = -1; dx < 2; ++dx) {
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for dy in range(-1, 2):# (int dy = -1; dy < 2; ++dy) {
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var d : Vector2 = Vector2(float(dx), float(dy));
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var p : Vector2 = p0+d;
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p += randomness * rand2(seed2 + modv2(p, size));
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var distance : float = (stretch * (uv - p) / size).length();
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if (best_distance0 > distance):
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best_distance1 = best_distance0;
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best_distance0 = distance;
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point1 = point0;
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point0 = p;
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elif (best_distance1 > distance):
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best_distance1 = distance;
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point1 = p;
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var edge_distance : float = (uv - 0.5*(point0+point1)).dot((point0-point1).normalized());
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return Color(point0.x, point0.y, best_distance0 * (size).length() * intensity, edge_distance);
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static func perlin(uv : Vector2, size : Vector2, iterations : int, persistence : float, pseed : int) -> float:
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var seed2 : Vector2 = rand2(Vector2(float(pseed), 1.0-float(pseed)));
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var rv : float = 0.0;
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var coef : float = 1.0;
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var acc : float = 0.0;
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for i in range(iterations):
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var step : Vector2 = Vector2(1, 1) / size;
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var xy : Vector2 = floorv2(uv * size);
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var f0 : float = rand(seed2 + modv2(xy, size));
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var f1 : float = rand(seed2 + modv2(xy + Vector2(1.0, 0.0), size));
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var f2 : float = rand(seed2 + modv2(xy + Vector2(0.0, 1.0), size));
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var f3 : float = rand(seed2 + modv2(xy + Vector2(1.0, 1.0), size));
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var mixval : Vector2 = smoothstepv2(0.0, 1.0, fractv2(uv * size));
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rv += coef * lerp(lerp(f0, f1, mixval.x), lerp(f2, f3, mixval.x), mixval.y);
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acc += coef;
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size *= 2.0;
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coef *= persistence;
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return rv / acc;
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static func fbm_value(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var p00 : float = rand(modv2(o, size));
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var p01 : float = rand(modv2(o + Vector2(0.0, 1.0), size));
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var p10 : float = rand(modv2(o + Vector2(1.0, 0.0), size));
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var p11 : float = rand(modv2(o + Vector2(1.0, 1.0), size));
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var t : Vector2 = f * f * (Vector2(3, 3) - 2.0 * f);
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return lerp(lerp(p00, p10, t.x), lerp(p01, p11, t.x), t.y);
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static func fbm_perlin(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var a00 : float = rand(modv2(o, size)) * 6.28318530718;
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var a01 : float = rand(modv2(o + Vector2(0.0, 1.0), size)) * 6.28318530718;
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var a10 : float = rand(modv2(o + Vector2(1.0, 0.0), size)) * 6.28318530718;
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var a11 : float = rand(modv2(o + Vector2(1.0, 1.0), size)) * 6.28318530718;
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var v00 : Vector2 = Vector2(cos(a00), sin(a00));
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var v01 : Vector2 = Vector2(cos(a01), sin(a01));
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var v10 : Vector2 = Vector2(cos(a10), sin(a10));
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var v11 : Vector2 = Vector2(cos(a11), sin(a11));
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var p00 : float = v00.dot(f);
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var p01 : float = v01.dot(f - Vector2(0.0, 1.0));
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var p10 : float = v10.dot(f - Vector2(1.0, 0.0));
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var p11 : float = v11.dot(f - Vector2(1.0, 1.0));
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var t : Vector2 = f * f * (Vector2(3, 3) - 2.0 * f);
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return 0.5 + lerp(lerp(p00, p10, t.x), lerp(p01, p11, t.x), t.y);
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static func fbm_cellular(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size)) + Vector2(x, y);
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var dist : float = sqrt((f - node).x * (f - node).x + (f - node).y * (f - node).y);
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min_dist = min(min_dist, dist);
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return min_dist;
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static func fbm_cellular2(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist1 : float = 2.0;
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var min_dist2 : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size)) + Vector2(x, y);
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var dist : float = sqrt((f - node).x * (f - node).x + (f - node).y * (f - node).y);
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if (min_dist1 > dist):
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min_dist2 = min_dist1;
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min_dist1 = dist;
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elif (min_dist2 > dist):
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min_dist2 = dist;
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return min_dist2-min_dist1;
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static func fbm_cellular3(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size))*0.5 + Vector2(x, y);
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var dist : float = abs((f - node).x) + abs((f - node).y);
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min_dist = min(min_dist, dist);
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return min_dist;
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static func fbm_cellular4(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist1 : float = 2.0;
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var min_dist2 : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size))*0.5 + Vector2(x, y);
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var dist : float = abs((f - node).x) + abs((f - node).y);
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if (min_dist1 > dist):
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min_dist2 = min_dist1;
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min_dist1 = dist;
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elif (min_dist2 > dist):
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min_dist2 = dist;
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return min_dist2 - min_dist1;
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static func fbm_cellular5(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size)) + Vector2(x, y);
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var dist : float = max(abs((f - node).x), abs((f - node).y));
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min_dist = min(min_dist, dist);
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return min_dist;
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static func fbm_cellular6(coord : Vector2, size : Vector2, pseed : float) -> float:
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var o : Vector2 = floorv2(coord) + rand2(Vector2(float(pseed), 1.0 - float(pseed))) + size;
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var f : Vector2 = fractv2(coord);
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var min_dist1 : float = 2.0;
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var min_dist2 : float = 2.0;
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for xx in range(-1, 2): #(float x = -1.0; x <= 1.0; x++) {
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var x : float = xx
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for yy in range(-1, 2):#(float y = -1.0; y <= 1.0; y++) {
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var y : float = yy
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var node : Vector2 = rand2(modv2(o + Vector2(x, y), size)) + Vector2(x, y);
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var dist : float = max(abs((f - node).x), abs((f - node).y));
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if (min_dist1 > dist):
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min_dist2 = min_dist1;
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min_dist1 = dist;
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elif (min_dist2 > dist):
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min_dist2 = dist;
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return min_dist2 - min_dist1;
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static func perlin_color(uv : Vector2, size : Vector2, iterations : int, persistence : float, pseed : int) -> Vector3:
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var seed2 : Vector2 = rand2(Vector2(float(pseed), 1.0 - float(pseed)));
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var rv : Vector3 = Vector3();
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var coef : float = 1.0;
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var acc : float = 0.0;
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for i in range(iterations):
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var step : Vector2 = Vector2(1, 1) / size;
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var xy : Vector2 = floorv2(uv * size);
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var f0 : Vector3 = rand3(seed2 + modv2(xy, size));
|
|
var f1 : Vector3 = rand3(seed2 + modv2(xy + Vector2(1.0, 0.0), size));
|
|
var f2 : Vector3 = rand3(seed2 + modv2(xy + Vector2(0.0, 1.0), size));
|
|
var f3 : Vector3 = rand3(seed2 + modv2(xy + Vector2(1.0, 1.0), size));
|
|
|
|
var mixval : Vector2 = smoothstepv2(0.0, 1.0, fractv2(uv * size));
|
|
|
|
rv += coef * lerp(lerp(f0, f1, mixval.x), lerp(f2, f3, mixval.x), mixval.y);
|
|
|
|
acc += coef;
|
|
size *= 2.0;
|
|
coef *= persistence;
|
|
|
|
return rv / acc;
|
|
|
|
|
|
static func beehive_dist(p : Vector2) -> float:
|
|
var s : Vector2 = Vector2(1.0, 1.73205080757);
|
|
|
|
p = absv2(p);
|
|
|
|
return max(p.dot(s*.5), p.x);
|
|
|
|
static func beehive_center(p : Vector2) -> Color:
|
|
var s : Vector2 = Vector2(1.0, 1.73205080757);
|
|
|
|
var hC : Color = Color(p.x, p.y, p.x - 0.5, p.y - 1) / Color(s.x, s.y, s.x, s.y);
|
|
|
|
hC = floorc(Color(p.x, p.y, p.x - 0.5, p.y - 1) / Color(s.x, s.y, s.x, s.y)) + Color(0.5, 0.5, 0.5, 0.5);
|
|
|
|
var v1 : Vector2 = Vector2(p.x - hC.r * s.x, p.y - hC.g * s.y)
|
|
var v2 : Vector2 = Vector2(p.x - (hC.b + 0.5) * s.x, p.y - (hC.a + 0.5) * s.y)
|
|
|
|
var h : Color = Color(v1.x, v1.y, v2.x, v2.y);
|
|
|
|
if Vector2(h.r, h.g).dot(Vector2(h.r, h.g)) < Vector2(h.b, h.a).dot(Vector2(h.b, h.a)):
|
|
return Color(h.r, h.g, hC.r, hC.g)
|
|
else:
|
|
return Color(h.b, h.a, hC.b + 9.73, hC.a + 9.73)
|
|
|
|
#return dot(h.xy, h.xy) < dot(h.zw, h.zw) ? Color(h.xy, hC.xy) : Color(h.zw, hC.zw + 9.73);
|
|
|
|
|
|
|
|
static func pattern(uv : Vector2, x_scale : float, y_scale : float, ct : int, catx : int, caty : int) -> float:
|
|
var x : float = 0
|
|
var y : float = 0
|
|
|
|
#in c++ these ifs should be function pointers or macros in the caller
|
|
if catx == CombinerAxisType.SINE:
|
|
x = wave_sine(x_scale * uv.x)
|
|
elif catx == CombinerAxisType.TRIANGLE:
|
|
x = wave_triangle(x_scale * uv.x)
|
|
elif catx == CombinerAxisType.SQUARE:
|
|
x = wave_square(x_scale * uv.x)
|
|
elif catx == CombinerAxisType.SAWTOOTH:
|
|
x = wave_sawtooth(x_scale * uv.x)
|
|
elif catx == CombinerAxisType.CONSTANT:
|
|
x = wave_constant(x_scale * uv.x)
|
|
elif catx == CombinerAxisType.BOUNCE:
|
|
x = wave_bounce(x_scale * uv.x)
|
|
|
|
if caty == CombinerAxisType.SINE:
|
|
y = wave_sine(y_scale * uv.y)
|
|
elif caty == CombinerAxisType.TRIANGLE:
|
|
y = wave_triangle(y_scale * uv.y)
|
|
elif caty == CombinerAxisType.SQUARE:
|
|
y = wave_square(y_scale * uv.y)
|
|
elif caty == CombinerAxisType.SAWTOOTH:
|
|
y = wave_sawtooth(y_scale * uv.y)
|
|
elif caty == CombinerAxisType.CONSTANT:
|
|
y = wave_constant(y_scale * uv.y)
|
|
elif caty == CombinerAxisType.BOUNCE:
|
|
y = wave_bounce(y_scale * uv.y)
|
|
|
|
if ct == CombinerType.MULTIPLY:
|
|
return mix_mul(x, y)
|
|
elif ct == CombinerType.ADD:
|
|
return mix_add(x, y);
|
|
elif ct == CombinerType.MAX:
|
|
return mix_max(x, y);
|
|
elif ct == CombinerType.MIN:
|
|
return mix_min(x, y);
|
|
elif ct == CombinerType.XOR:
|
|
return mix_xor(x, y);
|
|
elif ct == CombinerType.POW:
|
|
return mix_pow(x, y);
|
|
|
|
return 0.0
|
|
|
|
static func wave_constant(x : float) -> float:
|
|
return 1.0;
|
|
|
|
static func wave_sine(x : float) -> float:
|
|
return 0.5-0.5*cos(3.14159265359*2.0*x);
|
|
|
|
static func wave_triangle(x : float) -> float:
|
|
x = fractf(x);
|
|
return min(2.0*x, 2.0-2.0*x);
|
|
|
|
static func wave_sawtooth(x : float) -> float:
|
|
return fractf(x);
|
|
|
|
static func wave_square(x : float) -> float:
|
|
if (fractf(x) < 0.5):
|
|
return 0.0
|
|
else:
|
|
return 1.0
|
|
|
|
static func wave_bounce(x : float) -> float:
|
|
x = 2.0*(fractf(x)-0.5);
|
|
return sqrt(1.0-x*x);
|
|
|
|
static func mix_mul(x : float, y : float) -> float:
|
|
return x*y;
|
|
|
|
static func mix_add(x : float, y : float) -> float:
|
|
return min(x+y, 1.0);
|
|
|
|
static func mix_max(x : float, y : float) -> float:
|
|
return max(x, y);
|
|
|
|
static func mix_min(x : float, y : float) -> float:
|
|
return min(x, y);
|
|
|
|
static func mix_xor(x : float, y : float) -> float:
|
|
return min(x+y, 2.0-x-y);
|
|
|
|
static func mix_pow(x : float, y : float) -> float:
|
|
return pow(x, y);
|
|
|
|
static func fractf(x : float) -> float:
|
|
return x - floor(x)
|
|
|
|
static func invert(color : Color) -> Color:
|
|
return Color(1.0 - color.r, 1.0 - color.g, 1.0 - color.b, color.a);
|
|
|
|
static func ThickLine(uv : Vector2, posA : Vector2, posB : Vector2, radiusInv : float) -> float:
|
|
var dir : Vector2 = posA - posB;
|
|
var dirLen : float = dir.length()
|
|
var dirN : Vector2 = dir.normalized()
|
|
var dotTemp : float = clamp((uv - posB).dot(dirN), 0.0, dirLen);
|
|
var proj : Vector2 = dotTemp * dirN + posB;
|
|
var d1 : float = (uv - proj).length()
|
|
var finalGray : float = clamp(1.0 - d1 * radiusInv, 0.0, 1.0);
|
|
|
|
return finalGray;
|
|
|
|
# makes a rune in the 0..1 uv space. Seed is which rune to draw.
|
|
# passes back gray in x and derivates for lighting in yz
|
|
static func Rune(uv : Vector2) -> float:
|
|
var finalLine : float = 0.0;
|
|
var pseed : Vector2 = floorv2(uv) - Vector2(0.41, 0.41);
|
|
|
|
uv = fractv2(uv);
|
|
|
|
for i in range(4):# (int i = 0; i < 4; i++): # // number of strokes
|
|
var posA : Vector2 = rand2(floorv2(pseed + Vector2(0.5, 0.5)));
|
|
var posB : Vector2 = rand2(floorv2(pseed + Vector2(1.5, 1.5)));
|
|
pseed.x += 2.0;
|
|
pseed.y += 2.0;
|
|
|
|
# expand the range and mod it to get a nicely distributed random number - hopefully. :)
|
|
|
|
posA = fractv2(posA * 128.0);
|
|
posB = fractv2(posB * 128.0);
|
|
|
|
# each rune touches the edge of its box on all 4 sides
|
|
if (i == 0):
|
|
posA.y = 0.0;
|
|
|
|
if (i == 1):
|
|
posA.x = 0.999;
|
|
|
|
if (i == 2):
|
|
posA.x = 0.0;
|
|
|
|
if (i == 3):
|
|
posA.y = 0.999;
|
|
|
|
# snap the random line endpoints to a grid 2x3
|
|
|
|
var snaps : Vector2 = Vector2(2.0, 3.0);
|
|
|
|
posA = (floorv2(posA * snaps) + Vector2(0.5, 0.5)) / snaps; # + 0.5 to center it in a grid cell
|
|
posB = (floorv2(posB * snaps) + Vector2(0.5, 0.5)) / snaps;
|
|
|
|
#if (distance(posA, posB) < 0.0001) continue; // eliminate dots.
|
|
# Dots (degenerate lines) are not cross-GPU safe without adding 0.001 - divide by 0 error.
|
|
|
|
finalLine = max(finalLine, ThickLine(uv, posA, posB + Vector2(0.001, 0.001), 20.0));
|
|
|
|
return finalLine;
|
|
|
|
|
|
static func scratch(uv : Vector2, size : Vector2, waviness : float, angle : float, randomness : float, pseed : Vector2) -> float:
|
|
var subdivide : float = floor(1.0/size.x);
|
|
var cut : float = size.x*subdivide;
|
|
uv *= subdivide;
|
|
var r1 : Vector2 = rand2(floorv2(uv) + pseed);
|
|
var r2 : Vector2 = rand2(r1);
|
|
uv = fractv2(uv);
|
|
uv = 2.0 * uv - Vector2(1, 1);
|
|
|
|
var a : float = 6.28*(angle+(r1.x-0.5)*randomness);
|
|
var c : float = cos(a);
|
|
var s : float = sin(a);
|
|
|
|
uv = Vector2(c*uv.x+s*uv.y, s*uv.x-c*uv.y);
|
|
uv.y += 2.0*r1.y-1.0;
|
|
uv.y += 0.5*waviness*cos(2.0*uv.x+6.28*r2.y);
|
|
uv.x /= cut;
|
|
uv.y /= subdivide*size.y;
|
|
|
|
return (1.0-uv.x*uv.x)*max(0.0, 1.0-1000.0*uv.y*uv.y);
|
|
|
|
static func scratches(uv : Vector2, layers : int, size : Vector2, waviness : float, angle : float, randomness : float, pseed : Vector2) -> float:
|
|
var v : float = 0.0;
|
|
|
|
for i in range(layers):# (int i = 0; i < layers; ++i) {
|
|
v = max(v, scratch(fractv2(uv + pseed), size, waviness, angle/360.0, randomness, pseed));
|
|
pseed = rand2(pseed);
|
|
|
|
return v;
|
|
|
|
|
|
static func truchet1(uv : Vector2, pseed : Vector2) -> float:
|
|
var i : Vector2 = floorv2(uv);
|
|
var f : Vector2 = fractv2(uv) - Vector2(0.5, 0.5);
|
|
return 1.0 - abs(abs((2.0*step(rand(i+pseed), 0.5)-1.0)*f.x+f.y)-0.5);
|
|
|
|
static func truchet2(uv : Vector2, pseed : Vector2) -> float:
|
|
var i : Vector2 = floorv2(uv);
|
|
var f : Vector2 = fractv2(uv);
|
|
var random : float = step(rand(i+pseed), 0.5);
|
|
f.x *= 2.0 * random-1.0;
|
|
f.x += 1.0 - random;
|
|
return 1.0 - min(abs(f.length() - 0.5), abs((Vector2(1, 1) - f).length() - 0.5));
|
|
|
|
static func weave(uv : Vector2, count : Vector2, width : float) -> float:
|
|
uv *= count;
|
|
var c : float = (sin(3.1415926* (uv.x + floor(uv.y)))*0.5+0.5)*step(abs(fract(uv.y)-0.5), width*0.5);
|
|
c = max(c, (sin(3.1415926*(1.0+uv.y+floor(uv.x)))*0.5+0.5)*step(abs(fract(uv.x)-0.5), width*0.5));
|
|
return c;
|
|
|
|
|
|
static func brick_corner_uv(uv : Vector2, bmin : Vector2, bmax : Vector2, mortar : float, corner : float, pseed : float) -> Vector3:
|
|
var center : Vector2 = 0.5 * (bmin + bmax)
|
|
var size : Vector2 = bmax - bmin
|
|
var max_size : float = max(size.x, size.y)
|
|
var min_size : float = min(size.x, size.y)
|
|
mortar *= min_size
|
|
corner *= min_size
|
|
|
|
var r : Vector3 = Vector3()
|
|
|
|
r.x = clamp(((0.5 * size.x - mortar) - abs(uv.x - center.x)) / corner, 0, 1)
|
|
r.y = clamp(((0.5 * size.y - mortar) - abs(uv.y - center.y)) / corner, 0, 1)
|
|
r.z = rand(fractv2(center) + Vector2(pseed, pseed))
|
|
|
|
return r
|
|
|
|
# return vec3(clamp((0.5*size-vec2(mortar)-abs(uv-center))/corner, vec2(0.0), vec2(1.0)), rand(fract(center)+vec2(seed)));
|
|
|
|
|
|
static func brick(uv : Vector2, bmin : Vector2, bmax : Vector2, mortar : float, pround : float, bevel : float) -> Color:
|
|
var color : float
|
|
var size : Vector2 = bmax - bmin
|
|
|
|
var min_size : float = min(size.x, size.y)
|
|
mortar *= min_size
|
|
bevel *= min_size
|
|
pround *= min_size
|
|
|
|
var center : Vector2 = 0.5 * (bmin + bmax)
|
|
var d : Vector2 = Vector2()
|
|
|
|
d.x = abs(uv.x - center.x) - 0.5 * (size.x) + (pround + mortar)
|
|
d.y = abs(uv.y - center.y) - 0.5 * (size.y) + (pround + mortar)
|
|
|
|
color = Vector2(max(d.x, 0), max(d.y, 0)).length() + min(max(d.x, d.y), 0.0) - pround
|
|
|
|
color = clamp(-color / bevel, 0.0, 1.0)
|
|
|
|
# var tiled_brick_pos : Vector2 = Vector2(bmin.x - 1.0 * floor(bmin.x / 1.0), bmin.y - 1.0 * floor(bmin.y / 1.0))
|
|
|
|
var tiled_brick_pos_x : float = bmin.x - 1.0 * floor(bmin.x / 1.0)
|
|
var tiled_brick_pos_y : float = bmin.y - 1.0 * floor(bmin.y / 1.0)
|
|
|
|
#vec2 tiled_brick_pos = mod(bmin, vec2(1.0, 1.0));
|
|
|
|
return Color(color, center.x, center.y, tiled_brick_pos_x + 7.0 * tiled_brick_pos_y)
|
|
|
|
static func brick_uv(uv : Vector2, bmin : Vector2, bmax : Vector2, pseed : float) -> Vector3:
|
|
var center : Vector2 = 0.5 * (bmin + bmax)
|
|
var size : Vector2 = bmax - bmin
|
|
var max_size : float = max(size.x, size.y)
|
|
|
|
var x : float = 0.5+ (uv.x - center.x) / max_size
|
|
var y : float = 0.5+ (uv.y - center.y) /max_size
|
|
|
|
return Vector3(x, y, rand(fractv2(center) + Vector2(pseed, pseed)))
|
|
|
|
static func bricks_rb(uv : Vector2, count : Vector2, repeat : float, offset : float) -> Color:
|
|
count *= repeat
|
|
|
|
var x_offset : float = offset * step(0.5, fractf(uv.y * count.y * 0.5))
|
|
|
|
var bmin : Vector2
|
|
bmin.x = floor(uv.x * count.x - x_offset)
|
|
bmin.y = floor(uv.y * count.y)
|
|
|
|
bmin.x += x_offset;
|
|
bmin /= count
|
|
var bmc : Vector2 = bmin + Vector2(1.0, 1.0) / count
|
|
|
|
return Color(bmin.x, bmin.y, bmc.x, bmc.y)
|
|
|
|
static func bricks_rb2(uv : Vector2, count : Vector2, repeat : float, offset : float) -> Color:
|
|
count *= repeat
|
|
|
|
var x_offset : float = offset * step(0.5, fractf(uv.y * count.y * 0.5))
|
|
count.x = count.x * (1.0+step(0.5, fractf(uv.y * count.y * 0.5)))
|
|
var bmin : Vector2 = Vector2()
|
|
|
|
bmin.x = floor(uv.x * count.x - x_offset)
|
|
bmin.y = floor(uv.y * count.y)
|
|
|
|
bmin.x += x_offset
|
|
bmin /= count
|
|
|
|
var b : Vector2 = bmin + Vector2(1, 1) / count
|
|
|
|
return Color(bmin.x, bmin.y, b.x, b.y)
|
|
|
|
static func bricks_hb(uv : Vector2, count : Vector2, repeat : float, offset : float) -> Color:
|
|
var pc : float = count.x + count.y
|
|
var c : float = pc * repeat
|
|
|
|
var corner : Vector2 = Vector2(floor(uv.x * c), floor(uv.y * c))
|
|
var cdiff : float = modf(corner.x - corner.y, pc)
|
|
|
|
if (cdiff < count.x):
|
|
var col : Color = Color()
|
|
|
|
col.r = (corner.x - cdiff) / c
|
|
col.g = corner.y / c
|
|
|
|
col.b = (corner.x - cdiff + count.x) / c
|
|
col.a = (corner.y + 1.0) / c
|
|
|
|
return col
|
|
else:
|
|
var col : Color = Color()
|
|
|
|
col.r = corner.x / c
|
|
col.g = (corner.y - (pc - cdiff - 1.0)) / c
|
|
|
|
col.b = (corner.x + 1.0) / c
|
|
col.a = (corner.y - (pc - cdiff - 1.0) + count.y) / c
|
|
|
|
return col
|
|
|
|
static func bricks_bw(uv : Vector2, count : Vector2, repeat : float, offset : float) -> Color:
|
|
var c : Vector2 = 2.0 * count * repeat
|
|
var mc : float = max(c.x, c.y)
|
|
var corner1 : Vector2 = Vector2(floor(uv.x * c.x), floor(uv.y * c.y))
|
|
var corner2 : Vector2 = Vector2(count.x * floor(repeat* 2.0 * uv.x), count.y * floor(repeat * 2.0 * uv.y))
|
|
|
|
var tmp : Vector2 = Vector2(floor(repeat * 2.0 * uv.x), floor(repeat * 2.0 * uv.y))
|
|
var cdiff : float = modf(tmp.dot(Vector2(1, 1)), 2.0)
|
|
|
|
var corner : Vector2
|
|
var size : Vector2
|
|
|
|
if cdiff == 0:
|
|
corner = Vector2(corner1.x, corner2.y)
|
|
size = Vector2(1.0, count.y)
|
|
else:
|
|
corner = Vector2(corner2.x, corner1.y)
|
|
size = Vector2(count.x, 1.0)
|
|
|
|
return Color(corner.x / c.x, corner.y / c.y, (corner.x + size.x) / c.x, (corner.y + size.y) / c.y)
|
|
|
|
static func bricks_sb(uv : Vector2, count : Vector2, repeat : float, offset : float) -> Color:
|
|
var c : Vector2 = (count + Vector2(1, 1)) * repeat
|
|
var mc : float = max(c.x, c.y)
|
|
var corner1 : Vector2 = Vector2(floor(uv.x * c.x), floor(uv.y * c.y))
|
|
var corner2 : Vector2 = (count + Vector2(1, 1)) * Vector2(floor(repeat * uv.x), floor(repeat * uv.y))
|
|
var rcorner : Vector2 = corner1 - corner2
|
|
|
|
var corner : Vector2
|
|
var size : Vector2
|
|
|
|
if (rcorner.x == 0.0 && rcorner.y < count.y):
|
|
corner = corner2
|
|
size = Vector2(1.0, count.y)
|
|
elif (rcorner.y == 0.0):
|
|
corner = corner2 + Vector2(1.0, 0.0)
|
|
size = Vector2(count.x, 1.0)
|
|
elif (rcorner.x == count.x):
|
|
corner = corner2 + Vector2(count.x, 1.0)
|
|
size = Vector2(1.0, count.y)
|
|
elif (rcorner.y == count.y):
|
|
corner = corner2 + Vector2(0.0, count.y)
|
|
size = Vector2(count.x, 1.0)
|
|
else:
|
|
corner = corner2 + Vector2(1, 1)
|
|
size = Vector2(count.x-1.0, count.y-1.0)
|
|
|
|
return Color(corner.x / c.x, corner.y / c.y, (corner.x + size.x) / c.x, (corner.y + size.y) / c.y)
|
|
|
|
#
|
|
#vec4 $(name_uv)_rect = bricks_$pattern($uv, vec2($columns, $rows), $repeat, $row_offset);
|
|
#vec4 $(name_uv) = brick($uv, $(name_uv)_rect.xy, $(name_uv)_rect.zw, $mortar*$mortar_map($uv), $round*$round_map($uv), max(0.001, $bevel*$bevel_map($uv)));
|
|
#
|
|
#vec4 brick(vec2 uv, vec2 bmin, vec2 bmax, float mortar, float round, float bevel) {
|
|
# float color;
|
|
# vec2 size = bmax - bmin;
|
|
# float min_size = min(size.x, size.y);
|
|
# mortar *= min_size;
|
|
# bevel *= min_size;
|
|
# round *= min_size;
|
|
# vec2 center = 0.5*(bmin+bmax);
|
|
#
|
|
# vec2 d = abs(uv-center)-0.5*(size)+vec2(round+mortar);
|
|
# color = length(max(d,vec2(0))) + min(max(d.x,d.y),0.0)-round;
|
|
# color = clamp(-color/bevel, 0.0, 1.0);
|
|
# vec2 tiled_brick_pos = mod(bmin, vec2(1.0, 1.0));
|
|
#
|
|
# return vec4(color, center, tiled_brick_pos.x+7.0*tiled_brick_pos.y);
|
|
#}
|
|
#
|
|
#vec3 brick_uv(vec2 uv, vec2 bmin, vec2 bmax, float seed) {
|
|
# vec2 center = 0.5*(bmin + bmax);
|
|
# vec2 size = bmax - bmin;
|
|
# float max_size = max(size.x, size.y);
|
|
#
|
|
# return vec3(0.5+(uv-center)/max_size, rand(fract(center)+vec2(seed)));
|
|
#}
|
|
#
|
|
#vec3 brick_corner_uv(vec2 uv, vec2 bmin, vec2 bmax, float mortar, float corner, float seed) {
|
|
# vec2 center = 0.5*(bmin + bmax);
|
|
# vec2 size = bmax - bmin;
|
|
# float max_size = max(size.x, size.y);
|
|
# float min_size = min(size.x, size.y);
|
|
# mortar *= min_size;\n\tcorner *= min_size;
|
|
#
|
|
# return vec3(clamp((0.5*size-vec2(mortar)-abs(uv-center))/corner, vec2(0.0), vec2(1.0)), rand(fract(center)+vec2(seed)));
|
|
#}
|
|
#
|
|
#vec4 bricks_rb(vec2 uv, vec2 count, float repeat, float offset) {
|
|
# count *= repeat;
|
|
# float x_offset = offset*step(0.5, fract(uv.y*count.y*0.5));
|
|
# vec2 bmin = floor(vec2(uv.x*count.x-x_offset, uv.y*count.y));
|
|
# bmin.x += x_offset;\n\tbmin /= count;
|
|
#
|
|
# return vec4(bmin, bmin+vec2(1.0)/count);
|
|
#}
|
|
#
|
|
#vec4 bricks_rb2(vec2 uv, vec2 count, float repeat, float offset) {
|
|
# count *= repeat;
|
|
#
|
|
# float x_offset = offset*step(0.5, fract(uv.y*count.y*0.5));
|
|
# count.x = count.x*(1.0+step(0.5, fract(uv.y*count.y*0.5)));
|
|
# vec2 bmin = floor(vec2(uv.x*count.x-x_offset, uv.y*count.y));
|
|
#
|
|
# bmin.x += x_offset;
|
|
# bmin /= count;
|
|
# return vec4(bmin, bmin+vec2(1.0)/count);
|
|
#}
|
|
#
|
|
#vec4 bricks_hb(vec2 uv, vec2 count, float repeat, float offset) {
|
|
# float pc = count.x+count.y;
|
|
# float c = pc*repeat;
|
|
# vec2 corner = floor(uv*c);
|
|
# float cdiff = mod(corner.x-corner.y, pc);
|
|
#
|
|
# if (cdiff < count.x) {
|
|
# return vec4((corner-vec2(cdiff, 0.0))/c, (corner-vec2(cdiff, 0.0)+vec2(count.x, 1.0))/c);
|
|
# } else {
|
|
# return vec4((corner-vec2(0.0, pc-cdiff-1.0))/c, (corner-vec2(0.0, pc-cdiff-1.0)+vec2(1.0, count.y))/c);
|
|
# }
|
|
#}
|
|
#
|
|
#vec4 bricks_bw(vec2 uv, vec2 count, float repeat, float offset) {
|
|
# vec2 c = 2.0*count*repeat;
|
|
# float mc = max(c.x, c.y);
|
|
# vec2 corner1 = floor(uv*c);
|
|
# vec2 corner2 = count*floor(repeat*2.0*uv);
|
|
# float cdiff = mod(dot(floor(repeat*2.0*uv), vec2(1.0)), 2.0);
|
|
# vec2 corner;
|
|
# vec2 size;
|
|
#
|
|
# if (cdiff == 0.0) {
|
|
# corner = vec2(corner1.x, corner2.y);
|
|
# size = vec2(1.0, count.y);
|
|
# } else {
|
|
# corner = vec2(corner2.x, corner1.y);
|
|
# size = vec2(count.x, 1.0);
|
|
# }
|
|
#
|
|
# return vec4(corner/c, (corner+size)/c);
|
|
#}
|
|
#
|
|
#vec4 bricks_sb(vec2 uv, vec2 count, float repeat, float offset) {
|
|
# vec2 c = (count+vec2(1.0))*repeat;
|
|
# float mc = max(c.x, c.y);
|
|
# vec2 corner1 = floor(uv*c);
|
|
# vec2 corner2 = (count+vec2(1.0))*floor(repeat*uv);
|
|
# vec2 rcorner = corner1 - corner2;
|
|
#
|
|
# vec2 corner;
|
|
# vec2 size;
|
|
#
|
|
# if (rcorner.x == 0.0 && rcorner.y < count.y) {
|
|
# corner = corner2;
|
|
# size = vec2(1.0, count.y);
|
|
# } else if (rcorner.y == 0.0) {
|
|
# corner = corner2+vec2(1.0, 0.0);
|
|
# size = vec2(count.x, 1.0);
|
|
# } else if (rcorner.x == count.x) {
|
|
# corner = corner2+vec2(count.x, 1.0);
|
|
# size = vec2(1.0, count.y);
|
|
# } else if (rcorner.y == count.y) {
|
|
# corner = corner2+vec2(0.0, count.y);
|
|
# size = vec2(count.x, 1.0);
|
|
# } else {
|
|
# corner = corner2+vec2(1.0);
|
|
# size = vec2(count.x-1.0, count.y-1.0);
|
|
# }
|
|
#
|
|
# return vec4(corner/c, (corner+size)/c);
|
|
#}
|
|
|
|
|
|
static func sdr_ndot(a : Vector2, b : Vector2) -> float:
|
|
return a.x * b.x - a.y * b.y;
|
|
|
|
static func sdRhombus(p : Vector2, b : Vector2) -> float:
|
|
var q : Vector2 = absv2(p);
|
|
var h : float = clamp((-2.0 * sdr_ndot(q,b) + sdr_ndot(b,b)) / b.dot(b), -1.0, 1.0);
|
|
var d : float = ( q - 0.5*b * Vector2(1.0-h, 1.0+h)).length()
|
|
return d * sign(q.x*b.y + q.y*b.x - b.x*b.y)
|
|
|
|
static func sdArc(p : Vector2, a1 : float, a2 : float, ra : float, rb : float) -> float:
|
|
var amid : float = 0.5*(a1+a2)+1.6+3.14 * step(a1, a2);
|
|
var alength : float = 0.5*(a1-a2)-1.6+3.14 * step(a1, a2);
|
|
var sca : Vector2 = Vector2(cos(amid), sin(amid));
|
|
var scb : Vector2 = Vector2(cos(alength), sin(alength));
|
|
|
|
#p *= Matrix(Vector2(sca.x , sca.y), Vector2(-sca.y, sca.x));
|
|
|
|
var pt : Vector2 = p
|
|
|
|
p.x = pt.x * sca.x + pt.y * sca.y
|
|
p.y = pt.x * -sca.y + pt.y * sca.x
|
|
|
|
p.x = abs(p.x);
|
|
|
|
var k : float
|
|
|
|
if (scb.y * p.x > scb.x * p.y):
|
|
k = p.dot(scb)
|
|
else:
|
|
k = p.length();
|
|
|
|
return sqrt( p.dot(p) + ra * ra - 2.0 * ra * k ) - rb;
|
|
|
|
|
|
static func sdf_boolean_union(a : float, b : float) -> float:
|
|
return min(a, b)
|
|
|
|
static func sdf_boolean_substraction(a : float, b : float) -> float:
|
|
return max(-a, b)
|
|
|
|
static func sdf_boolean_intersection(a : float, b : float) -> float:
|
|
return max(a, b)
|
|
|
|
static func sdf_smooth_boolean_union(d1 : float, d2 : float, k : float) -> float:
|
|
var h : float = clamp( 0.5 + 0.5 * (d2 - d1) / k, 0.0, 1.0)
|
|
return lerp(d2, d1, h) - k * h * (1.0 - h)
|
|
|
|
static func sdf_smooth_boolean_substraction(d1 : float, d2 : float, k : float) -> float:
|
|
var h : float = clamp( 0.5 - 0.5 * (d2 + d1) / k, 0.0, 1.0)
|
|
return lerp(d2, -d1, h) + k * h * (1.0 - h)
|
|
|
|
static func sdf_smooth_boolean_intersection(d1 : float, d2 : float, k : float) -> float:
|
|
var h : float = clamp( 0.5 - 0.5 * (d2 - d1) / k, 0.0, 1.0)
|
|
return lerp(d2, d1, h) + k * h * (1.0 - h)
|
|
|
|
static func sdf_rounded_shape(a : float, r : float) -> float:
|
|
return a - r
|
|
|
|
static func sdf_annular_shape(a : float, r : float) -> float:
|
|
return abs(a) - r
|
|
|
|
static func sdf_morph(a : float, b : float, amount : float) -> float:
|
|
return lerp(a, b, amount)
|
|
|
|
static func sdLine(p : Vector2, a : Vector2, b : Vector2) -> float:
|
|
var pa : Vector2 = p - a
|
|
var ba : Vector2 = b - a
|
|
|
|
var h : float = clamp(pa.dot(ba) / ba.dot(ba), 0.0, 1.0);
|
|
|
|
return (pa - (ba * h)).length()
|
|
|
|
|
|
#Needs thought
|
|
#func sdf_translate(a : float, x : float, y : float) -> float:
|
|
# return lerp(a, b, amount)
|
|
|
|
static func sdf2d_rotate(uv : Vector2, a : float) -> Vector2:
|
|
var rv : Vector2;
|
|
var c : float = cos(a);
|
|
var s : float = sin(a);
|
|
uv -= Vector2(0.5, 0.5);
|
|
rv.x = uv.x*c+uv.y*s;
|
|
rv.y = -uv.x*s+uv.y*c;
|
|
return rv+Vector2(0.5, 0.5);
|
|
|
|
# signed distance to a quadratic bezier
|
|
static func sdBezier(pos : Vector2, A : Vector2, B : Vector2, C : Vector2) -> Vector2:
|
|
var a : Vector2 = B - A;
|
|
var b : Vector2 = A - 2.0*B + C;
|
|
var c : Vector2 = a * 2.0;
|
|
var d : Vector2 = A - pos;
|
|
|
|
var kk : float = 1.0 / b.dot(b);
|
|
var kx : float = kk * a.dot(b);
|
|
var ky : float = kk * (2.0* a.dot(a) + d.dot(b)) / 3.0;
|
|
var kz : float = kk * d.dot(a);
|
|
|
|
var res : float = 0.0;
|
|
var sgn : float = 0.0;
|
|
|
|
var p : float = ky - kx * kx;
|
|
var p3 : float = p*p*p;
|
|
var q : float = kx*(2.0*kx*kx - 3.0*ky) + kz;
|
|
var h : float = q*q + 4.0*p3;
|
|
var rvx : float;
|
|
|
|
if(h >= 0.0):# // 1 root
|
|
h = sqrt(h);
|
|
|
|
var x : Vector2 = Vector2(h,-h);
|
|
x.x -= q
|
|
x.y -= q
|
|
x.x /= 2.0
|
|
x.y /= 2.0
|
|
|
|
var uv : Vector2 = Vector2()
|
|
|
|
uv.x = sign(x.x) * pow(abs(x.x), 1);
|
|
uv.x = sign(x.y) * pow(abs(x.y), 3);
|
|
|
|
rvx = uv.x+uv.y-kx;
|
|
var t : float = clamp(rvx, 0.0, 1.0);
|
|
var q2 : Vector2 = d+(c+b*t)*t;
|
|
res = q2.dot(q2);
|
|
|
|
var tmp2 : Vector2 = c
|
|
tmp2.x += 2
|
|
tmp2.y += 2
|
|
|
|
tmp2 *= b*t
|
|
|
|
sgn = tmp2.cross(q2)
|
|
else: # // 3 roots
|
|
var z : float = sqrt(-p);
|
|
var v : float = acos(q/(p*z*2.0))/3.0;
|
|
var m : float = cos(v);
|
|
var n : float = sin(v)*1.732050808;
|
|
|
|
# var t : Vector3 = clamp(Vector3(m+m,-n-m,n-m)*z-kx, 0.0, 1.0);
|
|
#
|
|
#
|
|
# var qx : Vector2 = d+(c+b*t.x)*t.x;
|
|
# var dx : float = dot(qx, qx)
|
|
# sx = cross2(c+2.0*b*t.x,qx);
|
|
# var qy : Vector2 = d+(c+b*t.y)*t.y;
|
|
# var dy : float = dot(qy, qy)
|
|
# sy = cross2(c+2.0*b*t.y,qy);
|
|
# if dx<dy:
|
|
# res=dx; sgn=sx; rvx = t.x;
|
|
# else:
|
|
# res=dy; sgn=sy; rvx = t.y;
|
|
#
|
|
return Vector2(rvx, sqrt(res)*sign(sgn));
|
|
|
|
|
|
|
|
static func shape_circle(uv : Vector2, sides : float, size : float, edge : float) -> float:
|
|
uv.x = 2.0 * uv.x - 1.0
|
|
uv.y = 2.0 * uv.y - 1.0
|
|
|
|
edge = max(edge, 1.0e-8)
|
|
|
|
var distance : float = uv.length()
|
|
|
|
return clamp((1.0 - distance / size) / edge, 0.0, 1.0)
|
|
|
|
static func shape_polygon(uv : Vector2, sides : float, size : float, edge : float) -> float:
|
|
uv.x = 2.0 * uv.x - 1.0
|
|
uv.y = 2.0 * uv.y - 1.0
|
|
|
|
edge = max(edge, 1.0e-8)
|
|
|
|
#simple no branch for division by zero
|
|
uv.x += 0.0000001
|
|
|
|
var angle : float = atan(uv.y / uv.x) + 3.14159265359
|
|
var slice : float = 6.28318530718 / sides
|
|
|
|
return clamp((size - cos(floor(0.5 + angle / slice) * slice - angle) * uv.length()) / (edge * size), 0.0, 1.0)
|
|
|
|
static func shape_star(uv : Vector2, sides : float, size : float, edge : float) -> float:
|
|
uv.x = 2.0 * uv.x - 1.0
|
|
uv.y = 2.0 * uv.y - 1.0
|
|
|
|
edge = max(edge, 1.0e-8);
|
|
|
|
#simple no branch for division by zero
|
|
uv.x += 0.0000001
|
|
|
|
var angle : float = atan(uv.y / uv.x)
|
|
var slice : float = 6.28318530718 / sides
|
|
|
|
return clamp((size - cos(floor(1.5 + angle / slice - 2.0 * step(0.5 * slice, modf(angle, slice))) * slice - angle) * uv.length()) / (edge * size), 0.0, 1.0);
|
|
|
|
static func shape_curved_star(uv : Vector2, sides : float, size : float, edge : float) -> float:
|
|
uv.x = 2.0 * uv.x - 1.0
|
|
uv.y = 2.0 * uv.y - 1.0
|
|
|
|
edge = max(edge, 1.0e-8);
|
|
|
|
#simple no branch for division by zero
|
|
uv.x += 0.0000001
|
|
|
|
var angle : float = 2.0*(atan(uv.y / uv.x) + 3.14159265359)
|
|
var slice : float = 6.28318530718 / sides
|
|
|
|
return clamp((size - cos(floor(0.5 + 0.5 * angle / slice) * 2.0 * slice - angle) * uv.length())/(edge * size), 0.0, 1.0);
|
|
|
|
|
|
static func shape_rays(uv : Vector2, sides : float, size : float, edge : float) -> float:
|
|
|
|
uv.x = 2.0 * uv.x - 1.0
|
|
uv.y = 2.0 * uv.y - 1.0
|
|
|
|
edge = 0.5 * max(edge, 1.0e-8) * size
|
|
|
|
#simple no branch for division by zero
|
|
uv.x += 0.0000001
|
|
|
|
var slice : float = 6.28318530718 / sides
|
|
var angle : float = modf(atan(uv.y / uv.x) + 3.14159265359, slice) / slice
|
|
|
|
return clamp(min((size - angle) / edge, angle / edge), 0.0, 1.0);
|