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optimization

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Justin Lin
2022-04-20 20:31:44 +08:00
parent 1f0513b7ff
commit 526f6dac97
2 changed files with 41 additions and 31 deletions
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2
src/__comm__/_convex_hull2.scad
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@@ -40,4 +40,4 @@ function _convex_hull2(points) =
leng_lwr_ch = len(lwr_ch), leng_lwr_ch = len(lwr_ch),
chain = _convex_hull_upper_chain(sorted_pts, lwr_ch, leng_lwr_ch, leng_lwr_ch + 1, leng - 2) chain = _convex_hull_upper_chain(sorted_pts, lwr_ch, leng_lwr_ch, leng_lwr_ch + 1, leng - 2)
) )
[for(i = [0:len(chain) - 2]) chain[i]]; slice(chain, 0, len(chain) - 1);

70
src/__comm__/_convex_hull3.scad
View File

@@ -1,30 +1,36 @@
use <../util/sorted.scad>; use <../util/sorted.scad>;
use <../util/some.scad>;
use <../matrix/m_replace.scad>; use <../matrix/m_replace.scad>;
org = [0, 0, 0];
function normal(pts, f) = function normal(pts, f) =
let(p = pts[f[0]]) cross(pts[f[1]] - p, pts[f[2]] - p); let(p = pts[f[0]]) cross(pts[f[1]] - p, pts[f[2]] - p);
function _fst_v1(pts, leng, i) = function _fst_v1(pts, leng, p, i) =
i == leng || (pts[i] - pts[0]) != [0, 0, 0] ? i : _fst_v1(pts, leng, i + 1); i == leng || (pts[i] - p) != org ? i : _fst_v1(pts, leng, p, i + 1);
function _fst_v2(pts, leng, v1, i) = function _fst_v2(pts, leng, v1, p, i) =
i == leng || cross(pts[v1] - pts[0], pts[i] - pts[0]) != [0, 0, 0] ? i : _fst_v2(pts, leng, v1, i + 1); i == leng || cross(pts[v1] - p, pts[i] - p) != org ? i : _fst_v2(pts, leng, v1, p, i + 1);
function _fst_v3(pts, leng, n, d, i) = function _fst_v3(pts, leng, n, d, p, i) =
i == leng ? [i, d] : i == leng ? [i, d] :
let(nd = n * (pts[i] - pts[0])) let(nd = n * (pts[i] - p))
nd != 0 ? [i, nd] : _fst_v3(pts, leng, n, nd, i + 1); nd != 0 ? [i, nd] : _fst_v3(pts, leng, n, nd, p, i + 1);
function next_vis(i, pts, cur_faces, cur_faces_leng, next, vis, j = 0) = function next_vis(i, pts, cur_faces, cur_faces_leng, next, vis, j = 0) =
j == cur_faces_leng ? [next, vis] : j == cur_faces_leng ? [next, vis] :
let( let(
f = cur_faces[j], f = cur_faces[j],
d = (pts[f[0]] - pts[i]) * normal(pts, f), f0 = f[0],
f1 = f[1],
f2 = f[2],
d = (pts[f0] - pts[i]) * normal(pts, f),
nx = d >= 0 ? [each next, f] : next, nx = d >= 0 ? [each next, f] : next,
s = sign(d), s = sign(d),
vis1 = m_replace(vis, f[1], f[0], s), vis1 = m_replace(vis, f1, f0, s),
vis2 = m_replace(vis1, f[2], f[1], s), vis2 = m_replace(vis1, f2, f1, s),
vis3 = m_replace(vis2, f[0], f[2], s) vis3 = m_replace(vis2, f0, f2, s)
) )
next_vis(i, pts, cur_faces, cur_faces_leng, nx, vis3, j + 1); next_vis(i, pts, cur_faces, cur_faces_leng, nx, vis3, j + 1);
@@ -35,41 +41,45 @@ function next2(i, cur_faces, cur_faces_leng, vis, next, j = 0) =
a = f[0], a = f[0],
b = f[1], b = f[1],
c = f[2], c = f[2],
nx1 = vis[a][b] < 0 && vis[a][b] != vis[b][a] ? vis_a = vis[a],
vis_b = vis[b],
vis_c = vis[c],
nx1 = vis_a[b] < 0 && vis_a[b] != vis_b[a] ?
[each next, [a, b, i]] : next, [each next, [a, b, i]] : next,
nx2 = vis[b][c] < 0 && vis[b][c] != vis[c][b] ? nx2 = vis_b[c] < 0 && vis_b[c] != vis_c[b] ?
[each nx1, [b, c, i]] : nx1, [each nx1, [b, c, i]] : nx1,
nx3 = vis[c][a] < 0 && vis[c][a] != vis[a][c] ? nx3 = vis_c[a] < 0 && vis_c[a] != vis_a[c] ?
[each nx2, [c, a, i]] : nx2 [each nx2, [c, a, i]] : nx2
) )
next2(i, cur_faces, cur_faces_leng, vis, nx3, j + 1); next2(i, cur_faces, cur_faces_leng, vis, nx3, j + 1);
function _all_faces(v0, v1, v2, v3, pts, pts_leng, vis, cur_faces, i = 0) = function _all_faces(v0123, pts, pts_leng, vis, cur_faces, i = 0) =
i == pts_leng ? cur_faces : i == pts_leng ? cur_faces :
let( let(
vis_faces = i == v0 || i == v1 || i == v2 || i == v3 ? [vis, cur_faces] : vis_faces = some(v0123, function(vi) i == vi) ? [vis, cur_faces] :
let( let(
cur_faces_leng = len(cur_faces), cur_faces_leng = len(cur_faces),
nv = next_vis(i, pts, cur_faces, cur_faces_leng, [], vis), nv = next_vis(i, pts, cur_faces, cur_faces_leng, [], vis),
nx1 = nv[0], nx1 = nv[0],
vis1 = nv[1], vis1 = nv[1],
nx2 = next2(i, cur_faces, cur_faces_leng, vis1, nx1) nx2 = next2(i, cur_faces, cur_faces_leng, vis1, nx1)
) )
[vis1, nx2] [vis1, nx2]
) )
_all_faces(v0, v1, v2, v3, pts, pts_leng, vis_faces[0], vis_faces[1], i + 1); _all_faces(v0123, pts, pts_leng, vis_faces[0], vis_faces[1], i + 1);
function _convex_hull3(pts) = function _convex_hull3(pts) =
let( let(
sorted_pts = sorted(pts), sorted_pts = sorted(pts),
leng = len(sorted_pts), leng = len(sorted_pts),
p0 = sorted_pts[0],
v0 = 0, v0 = 0,
v1 = _fst_v1(sorted_pts, leng, v0 + 1), v1 = _fst_v1(sorted_pts, leng, p0, v0 + 1),
v2 = assert(v1 < leng, "common points") v2 = assert(v1 < leng, "common points")
_fst_v2(sorted_pts, leng, v1, v1 + 1), _fst_v2(sorted_pts, leng, v1, p0, v1 + 1),
n = assert(v2 < leng, "collinear points") n = assert(v2 < leng, "collinear points")
cross(sorted_pts[v1] - sorted_pts[v0], sorted_pts[v2] - sorted_pts[v0]), cross(sorted_pts[v1] - p0, sorted_pts[v2] - p0),
v3_d = _fst_v3(sorted_pts, leng, n, 0, v2 + 1), v3_d = _fst_v3(sorted_pts, leng, n, 0, p0, v2 + 1),
v3 = v3_d[0], v3 = v3_d[0],
d = assert(v3 < leng, "coplanar points") d = assert(v3 < leng, "coplanar points")
v3_d[1], v3_d[1],
@@ -88,7 +98,7 @@ function _convex_hull3(pts) =
], ],
zeros = [for(j = [0:leng - 1]) 0], zeros = [for(j = [0:leng - 1]) 0],
init_vis = [for(i = [0:leng - 1]) zeros], init_vis = [for(i = [0:leng - 1]) zeros],
faces = _all_faces(v0, v1, v2, v3, sorted_pts, leng, init_vis, fst_tetrahedron), // counter-clockwise faces = _all_faces([v0, v1, v2, v3], sorted_pts, leng, init_vis, fst_tetrahedron), // counter-clockwise
reversed = [ reversed = [
for(face = faces) // OpenSCAD requires clockwise. for(face = faces) // OpenSCAD requires clockwise.
[face[2], face[1], face[0]] [face[2], face[1], face[0]]