mirror of
https://github.com/BelfrySCAD/BOSL2.git
synced 2024-12-29 16:29:40 +00:00
398 lines
13 KiB
OpenSCAD
398 lines
13 KiB
OpenSCAD
include <../std.scad>
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module test_translate() {
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vals = [[-1,-2,-3],[0,0,0],[3,6,2],[1,2,3],[243,75,147]];
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for (val=vals) {
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assert_equal(translate(val), [[1,0,0,val.x],[0,1,0,val.y],[0,0,1,val.z],[0,0,0,1]]);
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assert_equal(translate(val, p=[1,2,3]), [1,2,3]+val);
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}
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// Verify that module at least doesn't crash.
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translate([-5,-5,-5]) translate([0,0,0]) translate([5,5,5]) nil();
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}
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test_translate();
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module test_move() {
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vals = [[-1,-2,-3],[0,0,0],[3,6,2],[1,2,3],[243,75,147]];
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for (val=vals) {
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assert_equal(move(val), [[1,0,0,val.x],[0,1,0,val.y],[0,0,1,val.z],[0,0,0,1]]);
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assert_equal(move(val, p=[1,2,3]), [1,2,3]+val);
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assert_equal(move(x=val.x, y=val.y, z=val.z, p=[1,2,3]), [1,2,3]+val);
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}
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// Verify that module at least doesn't crash.
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move(x=-5) move(y=-5) move(z=-5) move([-5,-5,-5]) nil();
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move(x=5) move(y=5) move(z=5) move([5,5,5]) nil();
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}
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test_move();
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module test_left() {
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assert_equal(left(5),[[1,0,0,-5],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(left(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(left(-5),[[1,0,0,5],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(left(5,p=[1,2,3]),[-4,2,3]);
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assert_equal(left(0,p=[1,2,3]),[1,2,3]);
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assert_equal(left(-5,p=[1,2,3]),[6,2,3]);
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// Verify that module at least doesn't crash.
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left(-5) left(0) left(5) nil();
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}
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test_left();
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module test_right() {
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assert_equal(right(-5),[[1,0,0,-5],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(right(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(right(5),[[1,0,0,5],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(right(-5,p=[1,2,3]),[-4,2,3]);
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assert_equal(right(0,p=[1,2,3]),[1,2,3]);
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assert_equal(right(5,p=[1,2,3]),[6,2,3]);
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// Verify that module at least doesn't crash.
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right(-5) right(0) right(5) nil();
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}
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test_right();
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module test_back() {
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assert_equal(back(-5),[[1,0,0,0],[0,1,0,-5],[0,0,1,0],[0,0,0,1]]);
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assert_equal(back(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(back(5),[[1,0,0,0],[0,1,0,5],[0,0,1,0],[0,0,0,1]]);
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assert_equal(back(-5,p=[1,2,3]),[1,-3,3]);
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assert_equal(back(0,p=[1,2,3]),[1,2,3]);
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assert_equal(back(5,p=[1,2,3]),[1,7,3]);
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// Verify that module at least doesn't crash.
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back(-5) back(0) back(5) nil();
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}
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test_back();
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module test_fwd() {
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assert_equal(fwd(5),[[1,0,0,0],[0,1,0,-5],[0,0,1,0],[0,0,0,1]]);
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assert_equal(fwd(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(fwd(-5),[[1,0,0,0],[0,1,0,5],[0,0,1,0],[0,0,0,1]]);
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assert_equal(fwd(5,p=[1,2,3]),[1,-3,3]);
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assert_equal(fwd(0,p=[1,2,3]),[1,2,3]);
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assert_equal(fwd(-5,p=[1,2,3]),[1,7,3]);
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// Verify that module at least doesn't crash.
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fwd(-5) fwd(0) fwd(5) nil();
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}
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test_fwd();
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module test_down() {
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assert_equal(down(5),[[1,0,0,0],[0,1,0,0],[0,0,1,-5],[0,0,0,1]]);
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assert_equal(down(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(down(-5),[[1,0,0,0],[0,1,0,0],[0,0,1,5],[0,0,0,1]]);
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assert_equal(down(5,p=[1,2,3]),[1,2,-2]);
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assert_equal(down(0,p=[1,2,3]),[1,2,3]);
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assert_equal(down(-5,p=[1,2,3]),[1,2,8]);
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// Verify that module at least doesn't crash.
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down(-5) down(0) down(5) nil();
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}
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test_down();
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module test_up() {
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assert_equal(up(-5),[[1,0,0,0],[0,1,0,0],[0,0,1,-5],[0,0,0,1]]);
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assert_equal(up(0),[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(up(5),[[1,0,0,0],[0,1,0,0],[0,0,1,5],[0,0,0,1]]);
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assert_equal(up(-5,p=[1,2,3]),[1,2,-2]);
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assert_equal(up(0,p=[1,2,3]),[1,2,3]);
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assert_equal(up(5,p=[1,2,3]),[1,2,8]);
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// Verify that module at least doesn't crash.
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up(-5) up(0) up(5) nil();
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}
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test_up();
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module test_scale() {
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cb = cube(1);
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vals = [[-1,-2,-3],[1,1,1],[3,6,2],[1,2,3],[243,75,147]];
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for (val=vals) {
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assert_equal(scale(point2d(val)), [[val.x,0,0],[0,val.y,0],[0,0,1]]);
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assert_equal(scale(val), [[val.x,0,0,0],[0,val.y,0,0],[0,0,val.z,0],[0,0,0,1]]);
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assert_equal(scale(val, p=[1,2,3]), v_mul([1,2,3], val));
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scale(val) nil();
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}
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assert_equal(scale(3), [[3,0,0,0],[0,3,0,0],[0,0,3,0],[0,0,0,1]]);
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assert_equal(scale(3, p=[1,2,3]), 3*[1,2,3]);
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assert_equal(scale(3, p=cb), cube(3));
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assert_equal(scale(2, p=square(1)), square(2));
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assert_equal(scale(2, cp=[1,1], p=square(1)), square(2, center=true));
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assert_equal(scale([2,3], p=square(1)), square([2,3]));
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assert_equal(scale([2,2], cp=[0.5,0.5], p=square(1)), move([-0.5,-0.5], p=square([2,2])));
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assert_equal(scale([2,3,4], p=cb), cube([2,3,4]));
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assert_equal(scale([-2,-3,-4], p=cb), [[for (p=cb[0]) v_mul(p,[-2,-3,-4])], [for (f=cb[1]) reverse(f)]]);
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// Verify that module at least doesn't crash.
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scale(-5) scale(5) nil();
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}
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test_scale();
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module test_xscale() {
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vals = [1,-1,-2,-3,10,147];
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for (val=vals) {
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assert_equal(xscale(val), [[val,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(xscale(val, p=[1,2,3]), [val*1,2,3]);
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xscale(val) nil();
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}
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// Verify that module at least doesn't crash.
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xscale(-5) xscale(5) nil();
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}
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test_xscale();
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module test_yscale() {
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vals = [1,-1,-2,-3,10,147];
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for (val=vals) {
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assert_equal(yscale(val), [[1,0,0,0],[0,val,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_equal(yscale(val, p=[1,2,3]), [1,val*2,3]);
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yscale(val) nil();
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}
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// Verify that module at least doesn't crash.
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yscale(-5) yscale(5) nil();
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}
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test_yscale();
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module test_zscale() {
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vals = [1,-1,-2,-3,10,147];
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for (val=vals) {
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assert_equal(zscale(val), [[1,0,0,0],[0,1,0,0],[0,0,val,0],[0,0,0,1]]);
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assert_equal(zscale(val, p=[1,2,3]), [1,2,val*3]);
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zscale(val) nil();
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}
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// Verify that module at least doesn't crash.
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zscale(-5) zscale(5) nil();
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}
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test_zscale();
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module test_mirror() {
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vals = [LEFT,RIGHT,FWD,BACK,DOWN,UP,BACK+UP+RIGHT,FWD+LEFT];
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for (val=vals) {
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v = unit(val);
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a = v.x;
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b = v.y;
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c = v.z;
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m = [
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[1-2*a*a, -2*b*a, -2*c*a, 0],
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[ -2*a*b, 1-2*b*b, -2*c*b, 0],
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[ -2*a*c, -2*b*c, 1-2*c*c, 0],
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[ 0, 0, 0, 1]
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];
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assert_approx(mirror(val), m, str("mirror(",val,")"));
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assert_approx(mirror(val, p=[1,2,3]), apply(m, [1,2,3]), str("mirror(",val,",p=...)"));
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// Verify that module at least doesn't crash.
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mirror(val) nil();
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}
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}
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test_mirror();
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module test_xflip() {
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assert_approx(xflip(), [[-1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_approx(xflip(p=[1,2,3]), [-1,2,3]);
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// Verify that module at least doesn't crash.
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xflip() nil();
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}
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test_xflip();
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module test_yflip() {
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assert_approx(yflip(), [[1,0,0,0],[0,-1,0,0],[0,0,1,0],[0,0,0,1]]);
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assert_approx(yflip(p=[1,2,3]), [1,-2,3]);
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// Verify that module at least doesn't crash.
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yflip() nil();
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}
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test_yflip();
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module test_zflip() {
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assert_approx(zflip(), [[1,0,0,0],[0,1,0,0],[0,0,-1,0],[0,0,0,1]]);
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assert_approx(zflip(p=[1,2,3]), [1,2,-3]);
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// Verify that module at least doesn't crash.
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zflip() nil();
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}
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test_zflip();
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module test_rot() {
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pts2d = 50 * [for (x=[-1,0,1],y=[-1,0,1]) [x,y]];
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pts3d = 50 * [for (x=[-1,0,1],y=[-1,0,1],z=[-1,0,1]) [x,y,z]];
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vecs2d = [
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for (x=[-1,0,1], y=[-1,0,1]) if(x!=0||y!=0) [x,y],
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polar_to_xy(1, -75),
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polar_to_xy(1, 75)
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];
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vecs3d = [
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LEFT, RIGHT, FRONT, BACK, DOWN, UP,
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spherical_to_xyz(1, -30, 45),
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spherical_to_xyz(1, 0, 45),
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spherical_to_xyz(1, 30, 45),
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spherical_to_xyz(2, -30, 135),
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spherical_to_xyz(1, 30, 135),
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spherical_to_xyz(1, -30, 75),
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spherical_to_xyz(1, 45, 45),
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];
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angs = [-180, -90, 0, 30, 45, 90];
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for (a = [-360*3:360:360*3]) {
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assert_approx(rot(a), affine3d_identity(), info=str("rot(",a,") != identity"));
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assert_approx(rot(a,p=pts2d), pts2d, info=str("rot(",a,",p=...), 2D"));
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assert_approx(rot(a,p=pts3d), pts3d, info=str("rot(",a,",p=...), 3D"));
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}
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assert_approx(rot(90), [[0,-1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]]);
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for (a=angs) {
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assert_approx(rot(a), affine3d_zrot(a), info=str("Z angle (only) = ",a));
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assert_approx(rot([a,0,0]), affine3d_xrot(a), info=str("X angle = ",a));
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assert_approx(rot([0,a,0]), affine3d_yrot(a), info=str("Y angle = ",a));
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assert_approx(rot([0,0,a]), affine3d_zrot(a), info=str("Z angle = ",a));
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assert_approx(rot(a,p=pts2d), apply(affine3d_zrot(a),pts2d), info=str("Z angle (only) = ",a, ", p=..., 2D"));
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assert_approx(rot([0,0,a],p=pts2d), apply(affine3d_zrot(a),pts2d), info=str("Z angle = ",a, ", p=..., 2D"));
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assert_approx(rot(a,p=pts3d), apply(affine3d_zrot(a),pts3d), info=str("Z angle (only) = ",a, ", p=..., 3D"));
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assert_approx(rot([a,0,0],p=pts3d), apply(affine3d_xrot(a),pts3d), info=str("X angle = ",a, ", p=..., 3D"));
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assert_approx(rot([0,a,0],p=pts3d), apply(affine3d_yrot(a),pts3d), info=str("Y angle = ",a, ", p=..., 3D"));
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assert_approx(rot([0,0,a],p=pts3d), apply(affine3d_zrot(a),pts3d), info=str("Z angle = ",a, ", p=..., 3D"));
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}
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for (xa=angs, ya=angs, za=angs) {
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assert_approx(
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rot([xa,ya,za]),
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affine3d_zrot(za) * affine3d_yrot(ya) * affine3d_xrot(xa),
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info=str("[X,Y,Z] = ",[xa,ya,za])
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);
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assert_approx(
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rot([xa,ya,za],p=pts3d),
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apply(
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affine3d_zrot(za) * affine3d_yrot(ya) * affine3d_xrot(xa),
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pts3d
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),
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info=str("[X,Y,Z] = ",[xa,ya,za], ", p=...")
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);
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}
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for (vec1 = vecs3d) {
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for (ang = angs) {
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assert_approx(
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rot(a=ang, v=vec1),
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affine3d_rot_by_axis(vec1,ang),
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info=str("a = ",ang,", v = ", vec1)
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);
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assert_approx(
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rot(a=ang, v=vec1, p=pts3d),
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apply(affine3d_rot_by_axis(vec1,ang), pts3d),
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info=str("a = ",ang,", v = ", vec1, ", p=...")
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);
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}
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}
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for (vec1 = vecs2d) {
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for (vec2 = vecs2d) {
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assert_approx(
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rot(from=vec1, to=vec2, p=pts2d, planar=true),
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apply(affine2d_zrot(v_theta(vec2)-v_theta(vec1)), pts2d),
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info=str(
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"from = ", vec1, ", ",
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"to = ", vec2, ", ",
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"planar = ", true, ", ",
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"p=..., 2D"
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)
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);
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}
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}
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for (vec1 = vecs3d) {
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for (vec2 = vecs3d) {
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for (a = angs) {
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assert_approx(
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rot(from=vec1, to=vec2, a=a),
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affine3d_rot_from_to(vec1,vec2) * affine3d_rot_by_axis(vec1,a),
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info=str(
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"from = ", vec1, ", ",
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"to = ", vec2, ", ",
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"a = ", a
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)
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);
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assert_approx(
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rot(from=vec1, to=vec2, a=a, p=pts3d),
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apply(
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affine3d_rot_from_to(vec1,vec2) * affine3d_rot_by_axis(vec1,a),
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pts3d
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),
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info=str(
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"from = ", vec1, ", ",
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"to = ", vec2, ", ",
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"a = ", a, ", ",
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"p=..., 3D"
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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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test_rot();
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module test_xrot() {
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vals = [-270,-135,-90,45,0,30,45,90,135,147,180];
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path = path3d(pentagon(d=100), 50);
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for (a=vals) {
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m = [[1,0,0,0],[0,cos(a),-sin(a),0],[0,sin(a),cos(a),0],[0,0,0,1]];
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assert_approx(xrot(a), m);
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assert_approx(xrot(a, p=path[0]), apply(m, path[0]));
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assert_approx(xrot(a, p=path), apply(m, path));
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// Verify that module at least doesn't crash.
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xrot(a) nil();
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}
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}
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test_xrot();
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module test_yrot() {
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vals = [-270,-135,-90,45,0,30,45,90,135,147,180];
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path = path3d(pentagon(d=100), 50);
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for (a=vals) {
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m = [[cos(a),0,sin(a),0],[0,1,0,0],[-sin(a),0,cos(a),0],[0,0,0,1]];
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assert_approx(yrot(a), m);
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assert_approx(yrot(a, p=path[0]), apply(m, path[0]));
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assert_approx(yrot(a, p=path), apply(m, path));
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// Verify that module at least doesn't crash.
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yrot(a) nil();
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}
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}
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test_yrot();
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module test_zrot() {
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vals = [-270,-135,-90,45,0,30,45,90,135,147,180];
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path = path3d(pentagon(d=100), 50);
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for (a=vals) {
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m = [[cos(a),-sin(a),0,0],[sin(a),cos(a),0,0],[0,0,1,0],[0,0,0,1]];
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assert_approx(zrot(a), m);
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assert_approx(zrot(a, p=path[0]), apply(m, path[0]));
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assert_approx(zrot(a, p=path), apply(m, path));
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// Verify that module at least doesn't crash.
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zrot(a) nil();
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}
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}
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test_zrot();
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module test_frame_map() {
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assert(approx(frame_map(x=[1,1,0], y=[-1,1,0]), affine3d_zrot(45)));
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assert(approx(frame_map(x=[0,1,0], y=[0,0,1]), rot(v=[1,1,1],a=120)));
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}
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test_frame_map();
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module test_skew() {
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m = affine3d_skew(sxy=2, sxz=3, syx=4, syz=5, szx=6, szy=7);
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assert_approx(skew(sxy=2, sxz=3, syx=4, syz=5, szx=6, szy=7), m);
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assert_approx(skew(sxy=2, sxz=3, syx=4, syz=5, szx=6, szy=7, p=[1,2,3]), apply(m,[1,2,3]));
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// Verify that module at least doesn't crash.
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skew(undef,2,3,4,5,6,7) nil();
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}
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test_skew();
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// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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