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add m_shearing doc

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Justin Lin
2019-05-02 09:19:37 +08:00
parent 4579614ddb
commit 66e1001ba4
2 changed files with 49 additions and 0 deletions

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# m_shearing
Generate a 4x4 transformation matrix which can pass into `multmatrix` to shear all child elements along the X-axis, Y-axis, or Z-axis in 3D.
## Parameters
- `sx` : An array `[SHy, SHz]`. The new coordinates of child elements are `(x + SHy * y + SHz * z, y, z)`.
- `sy` : An array `[SHx, SHz]`. The new coordinates of child elements are `(x, y + SHx * x + SHz * z, z)`.
- `sz` : An array `[SHx, SHy]`. The new coordinates of child elements are `(x, y, z + SHx * x + SHy * y)`.
## Examples
include <m_shearing.scad>;
color("red") {
multmatrix(m_shearing(sx = [1, 0]))
cube(1);
translate([2, 0, 0]) multmatrix(m_shearing(sx = [0, 1]))
cube(1);
translate([4, 0, 0]) multmatrix(m_shearing(sx = [1, 1]))
cube(1);
}
translate([0, -3, 0]) color("green") {
multmatrix(m_shearing(sy = [1, 0]))
cube(1);
translate([2, 0, 0]) multmatrix(m_shearing(sy = [0, 1]))
cube(1);
translate([4, 0, 0]) multmatrix(m_shearing(sy = [1, 1]))
cube(1);
}
translate([0, -5, 0]) color("blue") {
multmatrix(m_shearing(sz = [1, 0]))
cube(1);
translate([2, 0, 0]) multmatrix(m_shearing(sz = [0, 1]))
cube(1);
translate([4, 0, 0]) multmatrix(m_shearing(sz = [1, 1]))
cube(1);
}
![m_shearing](images/lib-m_shearing-1.JPG)