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Created July 7, 2017 10:14
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NodeTree
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"framed_nodes": {},
"groups": {},
"nodes": {
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"inject_params": 0,
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"script_name": "random_verts_on_polygons.py",
"script_str": "\"\"\"\nin normals v .=[] .=0\nin coords v .=[] .=0\nin radius s .=0.4 .=2\nin num_tries s .=100 .=2\nout new_verts v\n\"\"\"\n\n# taken from http://stackoverflow.com/a/29354206/1243487\n# translated to python and modified for sverchok.\n\nfrom math import sqrt, cos, sin, pi as M_PI\nfrom random import uniform as rand\n\n\ndef crossp(u, v):\n w = [0, 0, 0]\n w[0] = (u[1] * v[2]) - (u[2] * v[1])\n w[1] = (u[2] * v[0]) - (u[0] * v[2])\n w[2] = (u[0] * v[1]) - (u[1] * v[0])\n return w # vec3\n\ndef dotp(u, v):\n return (u[0] * v[0]) + (u[1] * v[1]) + (u[2] * v[2]) # float\n\ndef norm2(u):\n return dotp(u, u) # float\n\ndef norm(u):\n return sqrt(norm2(u)) # float\n\ndef scale(u, s):\n return [u[0] * s, u[1] * s, u[2] * s] # vec3\n\ndef add(u, v):\n return [u[0] + v[0], u[1] + v[1], u[2] + v[2]] # vec3\n\ndef normalize(u):\n return scale(u, 1/norm(u)) # vec3\n\n\ndef random_on_plane(r, n, co):\n \"\"\"\n generates a random point on the plane ax + by + cz = d\n \"\"\"\n n = list(n)\n co = list(co)\n d = dotp(n, co)\n xorz = [1, 0, 0] if (n[0] == 0) else [0, 0, 1]\n w = crossp(n, xorz)\n\n theta = rand(0, 1) * 2 * M_PI\n k = normalize(n)\n w = add(scale(w, cos(theta)), \n scale(crossp(k, w), sin(theta)))\n\n if r == 0:\n w = scale(w, r/norm(w))\n else:\n rand_r = rand(0, 1) * r\n w = scale(w, rand_r/norm(w))\n\n if d != 0:\n t = scale(n, d / norm2(n)) # vec3\n w = add(w, t)\n\n return w\n\n\nnew_verts = []\nfor nlist, colist in zip(normals, coords):\n sublist = []\n for n, co in zip(nlist, colist):\n sublist.append([random_on_plane(radius, n, co) for _ in range(num_tries)])\n new_verts.append(sublist)\n\nnew_verts = new_verts[0]\n"
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0
],
[
"Voronoi 2D",
1,
"Viewer Draw.002",
1
]
]
}
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