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Match affine3d skews up to affine2d_skew behaviour

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Currently, affine2d_skew and affine3d_skew_xy have different behaviour.
Similarly, affine3d_skew_xz and affine3d_skew_yz do not skew the same
was as affine2d_skew does (if you were to look down the third axis at
the relevant plane). This commit brings them into agreement.
This commit is contained in:
Geoff deRosenroll 2022-08-06 17:09:20 -07:00
parent 13f00a4bde
commit d3f13ab0dc
2 changed files with 15 additions and 15 deletions
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24
affine.scad
View file

@ -519,10 +519,10 @@ function affine3d_skew_xy(xa=0, ya=0) =
assert(is_finite(xa))
assert(is_finite(ya))
[
[1, 0, tan(xa), 0],
[0, 1, tan(ya), 0],
[0, 0, 1, 0],
[0, 0, 0, 1]
[ 1, tan(xa), 0, 0],
[tan(ya), 1, 0, 0],
[ 0, 0, 1, 0],
[ 0, 0, 0, 1]
];
@ -551,10 +551,10 @@ function affine3d_skew_xz(xa=0, za=0) =
assert(is_finite(xa))
assert(is_finite(za))
[
[1, tan(xa), 0, 0],
[0, 1, 0, 0],
[0, tan(za), 1, 0],
[0, 0, 0, 1]
[ 1, 0, tan(xa), 0],
[ 0, 1, 0, 0],
[tan(za), 0, 1, 0],
[ 0, 0, 0, 1]
];
@ -583,10 +583,10 @@ function affine3d_skew_yz(ya=0, za=0) =
assert(is_finite(ya))
assert(is_finite(za))
[
[ 1, 0, 0, 0],
[tan(ya), 1, 0, 0],
[tan(za), 0, 1, 0],
[ 0, 0, 0, 1]
[1, 0, 0, 0],
[0, 1, tan(ya), 0],
[0, tan(za), 1, 0],
[0, 0, 0, 1]
];

6
tests/test_affine.scad
View file

@ -137,7 +137,7 @@ test_affine3d_skew();
module test_affine3d_skew_xy() {
for(ya = [-89:3:89]) {
for(xa = [-89:3:89]) {
assert(affine3d_skew_xy(xa=xa, ya=ya) == [[1,0,tan(xa),0],[0,1,tan(ya),0],[0,0,1,0],[0,0,0,1]]);
assert(affine3d_skew_xy(xa=xa, ya=ya) == [[1,tan(xa),0,0],[tan(ya),1,0,0],[0,0,1,0],[0,0,0,1]]);
}
}
}
@ -147,7 +147,7 @@ test_affine3d_skew_xy();
module test_affine3d_skew_xz() {
for(za = [-89:3:89]) {
for(xa = [-89:3:89]) {
assert(affine3d_skew_xz(xa=xa, za=za) == [[1,tan(xa),0,0],[0,1,0,0],[0,tan(za),1,0],[0,0,0,1]]);
assert(affine3d_skew_xz(xa=xa, za=za) == [[1,0,tan(xa),0],[0,1,0,0],[tan(za),0,1,0],[0,0,0,1]]);
}
}
}
@ -157,7 +157,7 @@ test_affine3d_skew_xz();
module test_affine3d_skew_yz() {
for(za = [-89:3:89]) {
for(ya = [-89:3:89]) {
assert(affine3d_skew_yz(ya=ya, za=za) == [[1,0,0,0],[tan(ya),1,0,0],[tan(za),0,1,0],[0,0,0,1]]);
assert(affine3d_skew_yz(ya=ya, za=za) == [[1,0,0,0],[0,1,tan(ya),0],[0,tan(za),1,0],[0,0,0,1]]);
}
}
}