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Match affine3d skews up to affine2d_skew behaviour
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.
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commit
d3f13ab0dc
2 changed files with 15 additions and 15 deletions
12
affine.scad
12
affine.scad
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@ -519,8 +519,8 @@ function affine3d_skew_xy(xa=0, ya=0) =
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assert(is_finite(xa))
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assert(is_finite(xa))
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assert(is_finite(ya))
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assert(is_finite(ya))
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[
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[
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[1, 0, tan(xa), 0],
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[ 1, tan(xa), 0, 0],
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[0, 1, tan(ya), 0],
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[tan(ya), 1, 0, 0],
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[ 0, 0, 1, 0],
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[ 0, 0, 1, 0],
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[ 0, 0, 0, 1]
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[ 0, 0, 0, 1]
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];
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];
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@ -551,9 +551,9 @@ function affine3d_skew_xz(xa=0, za=0) =
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assert(is_finite(xa))
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assert(is_finite(xa))
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assert(is_finite(za))
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assert(is_finite(za))
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[
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[
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[1, tan(xa), 0, 0],
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[ 1, 0, tan(xa), 0],
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[ 0, 1, 0, 0],
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[ 0, 1, 0, 0],
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[0, tan(za), 1, 0],
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[tan(za), 0, 1, 0],
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[ 0, 0, 0, 1]
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[ 0, 0, 0, 1]
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];
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];
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@ -584,8 +584,8 @@ function affine3d_skew_yz(ya=0, za=0) =
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assert(is_finite(za))
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assert(is_finite(za))
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[
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[
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[1, 0, 0, 0],
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[1, 0, 0, 0],
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[tan(ya), 1, 0, 0],
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[0, 1, tan(ya), 0],
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[tan(za), 0, 1, 0],
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[0, tan(za), 1, 0],
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[0, 0, 0, 1]
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[0, 0, 0, 1]
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];
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];
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@ -137,7 +137,7 @@ test_affine3d_skew();
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module test_affine3d_skew_xy() {
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module test_affine3d_skew_xy() {
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for(ya = [-89:3:89]) {
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for(ya = [-89:3:89]) {
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for(xa = [-89:3:89]) {
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for(xa = [-89:3:89]) {
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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]]);
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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]]);
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}
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}
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}
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}
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}
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}
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@ -147,7 +147,7 @@ test_affine3d_skew_xy();
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module test_affine3d_skew_xz() {
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module test_affine3d_skew_xz() {
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for(za = [-89:3:89]) {
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for(za = [-89:3:89]) {
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for(xa = [-89:3:89]) {
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for(xa = [-89:3:89]) {
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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]]);
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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]]);
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}
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}
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}
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}
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}
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}
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@ -157,7 +157,7 @@ test_affine3d_skew_xz();
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module test_affine3d_skew_yz() {
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module test_affine3d_skew_yz() {
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for(za = [-89:3:89]) {
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for(za = [-89:3:89]) {
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for(ya = [-89:3:89]) {
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for(ya = [-89:3:89]) {
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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]]);
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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]]);
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}
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}
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}
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}
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}
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}
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