broken_seals/game/addons/mat_maker_gd/nodes/common/sdf3d.gd

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GDScript3
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tool
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extends Reference
const Commons = preload("res://addons/mat_maker_gd/nodes/common/commons.gd")
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#----------------------
#sdf3d_box.mmg
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#Generates a rounded box as a signed distance function
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#Outputs:
#Common
#vec3 $(name_uv)_q = abs($uv) - vec3($sx, $sy, $sz);
#Output (sdf3d) - Shows the rounded box
#length(max($(name_uv)_q,0.0))+min(max($(name_uv)_q.x,max($(name_uv)_q.y,$(name_uv)_q.z)),0.0)-$r
#Inputs:
#size, vector3, min: 0, max: 1, default:0.5, step:0.01
#size, float, min: 0, max: 1, default:0.5, step:0.01
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#----------------------
#sdf3d_sphere.mmg
#Generates a sphere as a signed distance function
#Outputs:
#Output (sdf3d) - Shows the sphere
#length($uv)-$r
#Inputs:
#radius, vector3, min: 0, max: 1, default:0.5, step:0.01
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#----------------------
#sdf3d_capsule.mmg
#Generates a capsule as a signed distance function
#Outputs:
#Common
#vec3 $(name_uv)_p = $uv;
#$(name_uv)_p.$axis -= clamp($(name_uv)_p.$axis, -$l, $l);
#Output (sdf3d) - Shows the capsule
#length($(name_uv)_p)-$r*$profile(clamp(0.5+0.5*($uv).$axis/$l, 0.0, 1.0))
#Inputs:
#axis, enum, default: 1, values: x, y, z
#length, float, min: 0, max: 1, default:0.25, step:0.01
#radius, float, min: 0, max: 1, default:0.2, step:0.01
#profile, curve, default: (ls, rs, x, z) 0, 0, 0, 1, 0, 0, 1, 1
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#----------------------
#sdf3d_cone.mmg
#Outputs:
#+X: $axis = length($uv.yz),-$uv.x
#-X: $axis = length($uv.yz),$uv.x
#+Y: $axis = length($uv.xz),$uv.y
#-Y: $axis = length($uv.xz),-$uv.y
#+Z: $axis = length($uv.xy),-$uv.z
#-Z: $axis = length($uv.xy),$uv.z
#Output (sdf3d)
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
#Inputs:
#axis, enum, default:5, values: +X, -X, +Y, -Y, +Z, -Z
#angle, float, min: 0, max: 90, default:30, step:1
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#----------------------
#sdf3d_repeat.mmg
#Outputs:
#+X: $axis = length($uv.yz),-$uv.x
#-X: $axis = length($uv.yz),$uv.x
#+Y: $axis = length($uv.xz),$uv.y
#-Y: $axis = length($uv.xz),-$uv.y
#+Z: $axis = length($uv.xy),-$uv.z
#-Z: $axis = length($uv.xy),$uv.z
#Output (sdf3d)
#Output (sdf3dc) - The shape generated by the repeat operation
#$in(repeat($uv, vec3(1.0/$rx, 1.0/$ry, 0.0), float($seed), $r))
#Inputs:
#in, vec2, default:vec2(100, 0.0), (sdf3d input)
#X, int, min: 1, max: 32, default:4, step:1
#Y, int, min: 1, max: 32, default:4, step:1
#R, float, min: 0, max: 1, default:0.5, step:0.01
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#----------------------
#sdf3d_rotate.mmg
#Outputs:
#Output (sdf3dc) - The rotated object
#$in(rotate3d($uv, -vec3($ax, $ay, $az)*0.01745329251))
#Inputs:
#in, vec2, default:vec2(100, 0.0), (sdf3d input)
#rotation, vector3, min: -180, max: 180, default:0, step:1
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#----------------------
#sdf3d_cylinder.mmg
#Outputs:
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#Output (sdf3dc) - Shows the cylinder
#min(max($(name_uv)_d.x,$(name_uv)_d.y),0.0) + length(max($(name_uv)_d,0.0))
#Inputs:
#axis, enum, default: 1, values: X, Y, Z
#length, float, min: 0, max: 1, default:0.5, step:0.01
#radius, float, min: 0, max: 1, default:0.2, step:0.01
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static func raymarch(uv : Vector2) -> Color:
var d : Vector2 = sdf3d_raymarch(uv);
var f : float = 1.0 - d.x;
return Color(f, f, f, 1)
static func raymarch2(uv : Vector2) -> Color:
var d : Vector2 = sdf3d_raymarch(uv);
var v : Vector3 = Vector3(0.5, 0.5, 0.5) + 0.5 * sdf3d_normal(Vector3(uv.x - 0.5, uv.y - 0.5, 1.0 - d.x));
return Color(v.x, v.y, v.z, 1)
static func raymarch3(uv : Vector2) -> Color:
var v : Vector2 = sdf3d_raymarch(uv);
return Color(v.y, v.y, v.y, 1)
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#length($uv)-$r
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static func sdf3d_sphere(p : Vector3, r : float) -> Vector2:
var s : float = p.length() - r;
return Vector2(s, 0.0);
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#vec3 $(name_uv)_q = abs($uv) - vec3($sx, $sy, $sz);
#length(max($(name_uv)_q,0.0))+min(max($(name_uv)_q.x,max($(name_uv)_q.y,$(name_uv)_q.z)),0.0)-$r
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static func sdf3d_box(p : Vector3, sx : float, sy : float, sz : float, r : float) -> Vector2:
var v : Vector3 = Commons.absv3((p)) - Vector3(sx, sy, sz);
var f : float = (Commons.maxv3(v,Vector3())).length() + min(max(v.x,max(v.y, v.z)),0.0) - r;
return Vector2(f, 0.0);
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#Y: $axis = length($uv.xz),$uv.y
#vec2 $(name_uv)_d = abs(vec2($axis)) - vec2($r,$l);
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static func sdf3d_cylinder_y(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector2 = Commons.absv2(Vector2(Vector2(p.x, p.z).length(),(p).y)) - Vector2(r,l);
var f : float = min(max(v.x, v.y),0.0) + Commons.maxv2(v, Vector2()).length();
return Vector2(f, 0.0);
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#X: $axis = length($uv.yz),$uv.x
#vec2 $(name_uv)_d = abs(vec2($axis)) - vec2($r,$l);
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static func sdf3d_cylinder_x(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector2 = Commons.absv2(Vector2(Vector2(p.y, p.z).length(),(p).x)) - Vector2(r, l);
var f : float = min(max(v.x, v.y),0.0) + Commons.maxv2(v, Vector2()).length();
return Vector2(f, 0.0);
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#Z: $axis = length($uv.xy),$uv.z
#vec2 $(name_uv)_d = abs(vec2($axis)) - vec2($r,$l);
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static func sdf3d_cylinder_z(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector2 = Commons.absv2(Vector2(Vector2(p.x, p.y).length(),(p).z)) - Vector2(r, l);
var f : float = min(max(v.x, v.y),0.0) + Commons.maxv2(v, Vector2()).length();
return Vector2(f, 0.0);
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#vec3 $(name_uv)_p = $uv;
#$(name_uv)_p.$axis -= clamp($(name_uv)_p.$axis, -$l, $l);
#return length($(name_uv)_p)-$r*$profile(clamp(0.5+0.5*($uv).$axis/$l, 0.0, 1.0))
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static func sdf3d_capsule_y(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector3 = p;
v.y -= clamp(v.y, -l, l);
var f : float = v.length() - r;
return Vector2(f, 0.0);
static func sdf3d_capsule_x(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector3 = p;
v.x -= clamp(v.x, -l, l);
var f : float = v.length() - r;
return Vector2(f, 0.0);
static func sdf3d_capsule_z(p : Vector3, r : float, l : float) -> Vector2:
var v : Vector3 = p;
v.z -= clamp(v.z, -l, l);
var f : float = v.length() - r;
return Vector2(f, 0.0);
var p_o118934_a = 30.000000000;
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#+X: $axis = length($uv.yz),-$uv.x
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_px(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.y, p.z).length(), - (p).x));
return Vector2(f, 0.0);
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#-X: $axis = length($uv.yz),$uv.x
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_nx(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.y, p.z).length(),(p).x));
return Vector2(f, 0.0);
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#+Y: $axis = length($uv.xz),$uv.y
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_py(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.x, p.z).length(),(p).y));
return Vector2(f, 0.0);
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#-Y: $axis = length($uv.xz),-$uv.y
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_ny(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.x, p.z).length(),-(p).y));
return Vector2(f, 0.0);
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#+Z: $axis = length($uv.xy),-$uv.z
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_pz(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.x, p.y).length(),-(p).z));
return Vector2(f, 0.0);
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#-Z: $axis = length($uv.xy),$uv.z
#dot(vec2(cos($a*0.01745329251),sin($a*0.01745329251)),vec2($axis))
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static func sdf3d_cone_nz(p : Vector3, a : float) -> Vector2:
var f : float = Vector2(cos(a*0.01745329251),sin(a*0.01745329251)).dot(Vector2(Vector2(p.x, p.y).length(),(p).z));
return Vector2(f, 0.0);
static func sdf3d_torus_x(p : Vector3, R : float, r : float) -> Vector2:
var q : Vector2 = Vector2(Vector2(p.y, p.z).length() - R,(p).x);
var f : float = q.length() - r;
return Vector2(f, 0.0);
static func sdf3d_torus_y(p : Vector3, R : float, r : float) -> Vector2:
var q : Vector2 = Vector2(Vector2(p.z, p.x).length() - R,(p).y);
var f : float = q.length() - r;
return Vector2(f, 0.0);
static func sdf3d_torus_z(p : Vector3, R : float, r : float) -> Vector2:
var q : Vector2 = Vector2(Vector2(p.x, p.y).length() - R,(p).z);
var f : float = q.length() - r;
return Vector2(f, 0.0);
static func sdf3d_raymarch(uv : Vector2) -> Vector2:
var ro : Vector3 = Vector3(uv.x - 0.5, uv.y - 0.5, 1.0);
var rd : Vector3 = Vector3(0.0, 0.0, -1.0);
var dO : float = 0.0;
var c : float = 0.0;
for i in range(100):
var p : Vector3 = ro + rd * dO;
var dS : Vector2 = sdf3d_input(p);
dO += dS.x;
if (dO >= 1.0):
break;
elif (dS.x < 0.0001):
c = dS.y;
break;
return Vector2(dO, c);
static func sdf3d_normal(p : Vector3) -> Vector3:
if (p.z <= 0.0):
return Vector3(0.0, 0.0, 1.0);
var d : float = sdf3d_input(p).x;
var e : float = .001;
var n : Vector3 = Vector3(
d - sdf3d_input(p - Vector3(e, 0.0, 0.0)).x,
d - sdf3d_input(p - Vector3(0.0, e, 0.0)).x,
d - sdf3d_input(p - Vector3(0.0, 0.0, e)).x);
return Vector3(-1.0, -1.0, -1.0) * n.normalized();
static func sdf3dc_union(a : Vector2, b : Vector2) -> Vector2:
return Vector2(min(a.x, b.x), lerp(b.y, a.y, Commons.step(a.x, b.x)));
static func sdf3dc_sub(a : Vector2, b : Vector2) -> Vector2:
return Vector2(max(-a.x, b.x), a.y);
static func sdf3dc_inter(a : Vector2, b : Vector2) -> Vector2:
return Vector2(max(a.x, b.x), lerp(a.y, b.y, Commons.step(a.x, b.x)));
static func sdf3d_smooth_union(d1 : Vector2, d2 : Vector2, k : float) -> Vector2:
var h : float = clamp(0.5 + 0.5 * (d2.x - d1.x) / k, 0.0, 1.0);
return Vector2(lerp(d2.x, d1.x, h)-k*h*(1.0 - h), lerp(d2.y, d1.y, Commons.step(d1.x, d2.x)));
static func sdf3d_smooth_subtraction(d1 : Vector2, d2 : Vector2, k : float) -> Vector2:
var h : float = clamp(0.5 - 0.5 * (d2.x + d1.x) / k, 0.0, 1.0);
return Vector2(lerp(d2.x, -d1.x, h )+k*h*(1.0-h), d2.y);
static func sdf3d_smooth_intersection(d1 : Vector2, d2 : Vector2, k : float) -> Vector2:
var h : float = clamp(0.5 - 0.5 * (d2.x - d1.x) / k, 0.0, 1.0);
return Vector2(lerp(d2.x, d1.x, h)+k*h*(1.0-h), lerp(d1.y, d2.y, Commons.step(d1.x, d2.x)));
static func sdf3d_rounded(v : Vector2, r : float) -> Vector2:
return Vector2(v.x - r, v.y);
static func sdf3d_elongation(p : Vector3, v : Vector3) -> Vector3:
return ((p) - Commons.clampv3((p), - Commons.absv3(v), Commons.absv3(v)))
static func sdf3d_repeat(p : Vector3, r : Vector2, randomness : float, pseed : int) -> Vector3:
return (repeat(p, Vector3(1.0/r.x, 1.0/r.y, 0.00001), float(pseed), randomness))
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#vec3 repeat(vec3 p, vec3 r, float seed, float randomness) {
# vec3 a = (rand3(floor(mod((p.xy+0.5*r.xy)/r.xy, 1.0/r.xy)+vec2(seed)))-0.5)*6.28*randomness;
# p = mod(p+0.5*r,r)-0.5*r;
#
# vec3 rv;
# float c;
# float s;
#
# c = cos(a.x);
# s = sin(a.x);
#
# rv.x = p.x;
# rv.y = p.y*c+p.z*s;rv.z = -p.y*s+p.z*c;
#
# c = cos(a.y);
# s = sin(a.y);
#
# p.x = rv.x*c+rv.z*s;
# p.y = rv.y;
# p.z = -rv.x*s+rv.z*c;
#
# c = cos(a.z);
# s = sin(a.z);
#
# rv.x = p.x*c+p.y*s;
# rv.y = -p.x*s+p.y*c;
# rv.z = p.z;
#
# return rv;
#}
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#Needs work
static func repeat(p : Vector3, r : Vector3, pseed : float, randomness : float) -> Vector3:
#fix division by zero
# p.x += 0.000001
# p.y += 0.000001
# p.z += 0.000001
# r.x += 0.000001
# r.y += 0.000001
# r.z += 0.000001
var pxy : Vector2 = Vector2(p.x, p.y)
var rxy : Vector2 = Vector2(r.x, r.y)
var r3 : Vector2 = Commons.floorv2(Commons.modv2((pxy + 0.5 * rxy) / rxy, Vector2(1.0 / rxy.x, 1.0 / rxy.y)) + Vector2(pseed, pseed))
var rr : Vector3 = Commons.rand3(r3)
rr.x -= 0.5
rr.y -= 0.5
rr.z -= 0.5
var a : Vector3 = (rr) * 6.28 * randomness;
p = Commons.modv3(p + 0.5 * r, r) - 0.5*r;
var rv : Vector3;
var c : float;
var s : float;
c = cos(a.x);
s = sin(a.x);
rv.x = p.x;
rv.y = p.y*c+p.z*s;
rv.z = -p.y*s+p.z*c;
c = cos(a.y);
s = sin(a.y);
p.x = rv.x*c+rv.z*s;
p.y = rv.y;
p.z = -rv.x*s+rv.z*c;
c = cos(a.z);
s = sin(a.z);
rv.x = p.x*c+p.y*s;
rv.y = -p.x*s+p.y*c;
rv.z = p.z;
return rv;
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#vec3 rotate3d(vec3 p, vec3 a) {
# vec3 rv;
# float c;
# float s;
# c = cos(a.x);
# s = sin(a.x);
# rv.x = p.x;
# rv.y = p.y*c+p.z*s;
# rv.z = -p.y*s+p.z*c;
# c = cos(a.y);
# s = sin(a.y);
# p.x = rv.x*c+rv.z*s;
# p.y = rv.y;
# p.z = -rv.x*s+rv.z*c;
# c = cos(a.z);
# s = sin(a.z);
# rv.x = p.x*c+p.y*s;
# rv.y = -p.x*s+p.y*c;
# rv.z = p.z;
# return rv;
#}
static func rotate3d(p : Vector3, a : Vector3) -> Vector3:
#todo
return Vector3()
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#todo this needs to be solved
static func sdf3d_input(p : Vector3) -> Vector2:
return sdf3d_sphere(p, 0.5)