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add shear

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This commit is contained in:
Justin Lin 2019-05-01 08:17:21 +08:00
parent fece5c2bde
commit d746ff3078
3 changed files with 52 additions and 44 deletions
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44
src/__private__/__m_shearing.scad Normal file
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@ -0,0 +1,44 @@
function __m_shearing_sx(sx) =
let(
sx_along_y = sx[0],
sx_along_z = sx[1]
)
[
[1, sx_along_y, sx_along_z, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
];
function __m_shearing_sy(sy) =
let(
sy_along_x = sy[0],
sy_along_z = sy[1]
)
[
[1, 0, 0, 0],
[sy_along_x, 1, sy_along_z, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
];
function __m_shearing_sz(sz) =
let(
sz_along_x = sz[0],
sz_along_y = sz[1]
)
[
[1, 0, 0, 0],
[0, 1, 0, 0],
[sz_along_x, sz_along_y, 1, 0],
[0, 0, 0, 1]
];
function __m_shearing(sx, sy, sz) =
__m_multiply(
__m_shearing_sy(sz),
__m_multiply(
__m_shearing_sy(sy),
__m_shearing_sx(sx)
)
);

46
src/m_shearing.scad
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@ -1,46 +1,4 @@
include <__private__/__m_multiply.scad>;
include <__private__/__m_shearing.scad>;
function _m_shearing_sx(sx) =
let(
sx_along_y = sx[0],
sx_along_z = sx[1]
)
[
[1, sx_along_y, sx_along_z, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
];
function _m_shearing_sy(sy) =
let(
sy_along_x = sy[0],
sy_along_z = sy[1]
)
[
[1, 0, 0, 0],
[sy_along_x, 1, sy_along_z, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
];
function _m_shearing_sz(sz) =
let(
sz_along_x = sz[0],
sz_along_y = sz[1]
)
[
[1, 0, 0, 0],
[0, 1, 0, 0],
[sz_along_x, sz_along_y, 1, 0],
[0, 0, 0, 1]
];
function m_shearing(sx = [0, 0], sy = [0, 0], sz = [0, 0]) =
__m_multiply(
_m_shearing_sy(sz),
__m_multiply(
_m_shearing_sy(sy),
_m_shearing_sx(sx)
)
);
function m_shearing(sx = [0, 0], sy = [0, 0], sz = [0, 0]) = __m_shearing(sx, sy, sz);

6
src/shear.scad Normal file
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include <__private__/__m_multiply.scad>;
include <__private__/__m_shearing.scad>;
module shear(sx = [0, 0], sy = [0, 0], sz = [0, 0]) {
multmatrix(__m_shearing(sx, sy, sz)) children();
}