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76 lines
1.7 KiB
OpenSCAD
76 lines
1.7 KiB
OpenSCAD
//
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// NopSCADlib Copyright Chris Palmer 2018
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// nop.head@gmail.com
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// hydraraptor.blogspot.com
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//
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// This file is part of NopSCADlib.
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//
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// NopSCADlib is free software: you can redistribute it and/or modify it under the terms of the
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// GNU General Public License as published by the Free Software Foundation, either version 3 of
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// the License, or (at your option) any later version.
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//
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// NopSCADlib is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
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// without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
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// See the GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License along with NopSCADlib.
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// If not, see <https://www.gnu.org/licenses/>.
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//
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include <../core.scad>
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use <../utils/maths.scad>
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use <../utils/annotation.scad>
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tip = [0, 0, 20];
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module shape() {
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cylinder(d1 = 20, d2 = 0, h = tip.z);
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}
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t = [10, 20, 30];
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r = [45, 20, 70];
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s = [1, 0.5, 0.75];
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module maths() {
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//
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// Translate, rotate and scale the shape
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//
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translate(t)
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rotate(r)
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scale(s)
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shape();
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//
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// Apply the same transformations to the vector position of the tip
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//
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p = transform(tip, translate(t) * rotate(r) * scale(s));
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//
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// Place an arrow where the tip ends up
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//
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translate(p)
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arrow();
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//
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// Unit vector pointing at p
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//
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u = unit(p);
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//
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// Point arrow in same direction
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//
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z = [0, 0, 1];
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v = cross(u, z);
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a = angle_between(u, z);
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l = 20;
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rotate(-a, v)
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translate_z(l)
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vflip()
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arrow(l);
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//
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// Test Euler
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//
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assert(euler(rotate(r)) == r, "euler() failed");
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}
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rotate(45)
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maths();
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