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mirror of https://github.com/JustinSDK/dotSCAD.git synced 2025-08-15 19:24:35 +02:00
This commit is contained in:
Justin Lin
2020-01-27 07:46:55 +08:00
parent acf64ed84f
commit 8fcabc6d4d
2 changed files with 137 additions and 134 deletions

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function _turtle3d_x(pt) = pt[0];
function _turtle3d_y(pt) = pt[1];
function _turtle3d_z(pt) = pt[2];
function _turtle3d_pt3D(x, y, z) = [x, y, z];
function _turtle3d_create(pt, unit_vts) = [pt, unit_vts];
function _turtle3d_create_default() = _turtle3d_create(
_turtle3d_pt3D(0, 0, 0),
// unit vectors from the turtle's viewpoint
[_turtle3d_pt3D(1, 0, 0), _turtle3d_pt3D(0, 1, 0), _turtle3d_pt3D(0, 0, 1)]
);
function _turtle3d_plus(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) + n, _turtle3d_y(pt) + n, _turtle3d_z(pt) + n);
function _turtle3d_minus(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) - n, _turtle3d_y(pt) - n, _turtle3d_z(pt) + n);
function _turtle3d_mlt(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) * n, _turtle3d_y(pt) * n, _turtle3d_z(pt) * n);
function _turtle3d_div(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) / n, _turtle3d_y(pt) / n, _turtle3d_z(pt) / n);
function _turtle3d_neg(pt, n) =
_turtle3d_mlt(pt, -1);
function _turtle3d_ptPlus(pt1, pt2) =
_turtle3d_pt3D(
_turtle3d_x(pt1) + _turtle3d_x(pt2),
_turtle3d_y(pt1) + _turtle3d_y(pt2),
_turtle3d_z(pt1) + _turtle3d_z(pt2)
);
function _turtle3d_pt(turtle) = turtle[0];
function _turtle3d_unit_vts(turtle) = turtle[1];
// forward the turtle in the x' direction
function _turtle3d_xu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(_turtle3d_pt(turtle), _turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], leng)),
_turtle3d_unit_vts(turtle)
);
// forward the turtle in the y' direction
function _turtle3d_yu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(_turtle3d_pt(turtle), _turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], leng)),
_turtle3d_unit_vts(turtle)
);
// forward the turtle in the z' direction
function _turtle3d_zu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(
_turtle3d_pt(turtle),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], leng)
),
_turtle3d_unit_vts(turtle)
);
// turn the turtle around the x'-axis
// return a new unit vector
function _turtle3d_xu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_unit_vts(turtle)[0],
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], cosa),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], sina)
),
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[1]), sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], cosa)
)
]
);
// turn the turtle around the y'-axis
// return a new unit vector
function _turtle3d_yu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], cosa),
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[2]), sina)
),
_turtle3d_unit_vts(turtle)[1],
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], cosa)
)
]
);
// turn the turtle around the z'-axis
// return a new unit vector
function _turtle3d_zu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], cosa),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], sina)
),
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[0]), sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], cosa)
),
_turtle3d_unit_vts(turtle)[2],
]
);
function _turtle3d_create_cmd(arg1, arg2) =
is_undef(arg1) && is_undef(arg2) ? _turtle3d_create_default() :
!is_undef(arg1) && !is_undef(arg2) ? _turtle3d_create(arg1, arg2) : undef;
function _turtle3d_chain_move(cmd, arg1, arg2) =
cmd == "xu_move" ? _turtle3d_xu_move(arg1, arg2) :
cmd == "yu_move" ? _turtle3d_yu_move(arg1, arg2) :
cmd == "zu_move" ? _turtle3d_zu_move(arg1, arg2) : _turtle3d_chain_turn(cmd, arg1, arg2);
function _turtle3d_chain_turn(cmd, arg1, arg2) =
cmd == "xu_turn" ? _turtle3d_xu_turn(arg1, arg2) :
cmd == "yu_turn" ? _turtle3d_yu_turn(arg1, arg2) :
cmd == "zu_turn" ? _turtle3d_zu_turn(arg1, arg2) : _turtle3d_chain_one_arg(cmd, arg1);
function _turtle3d_chain_one_arg(cmd, arg) =
cmd == "pt" ? _turtle3d_pt(arg) :
cmd == "unit_vts" ? _turtle3d_unit_vts(arg) : undef;
function _turtle3d_impl(cmd, arg1, arg2) =
cmd == "create" ?
_turtle3d_create_cmd(arg1, arg2) :
_turtle3d_chain_move(cmd, arg1, arg2);

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@@ -8,138 +8,6 @@
*
**/
function _turtle3d_x(pt) = pt[0];
function _turtle3d_y(pt) = pt[1];
function _turtle3d_z(pt) = pt[2];
use <turtle/_impl/_turtle3d_impl.scad>;
function _turtle3d_pt3D(x, y, z) = [x, y, z];
function _turtle3d_create(pt, unit_vts) = [pt, unit_vts];
function _turtle3d_create_default() = _turtle3d_create(
_turtle3d_pt3D(0, 0, 0),
// unit vectors from the turtle's viewpoint
[_turtle3d_pt3D(1, 0, 0), _turtle3d_pt3D(0, 1, 0), _turtle3d_pt3D(0, 0, 1)]
);
function _turtle3d_plus(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) + n, _turtle3d_y(pt) + n, _turtle3d_z(pt) + n);
function _turtle3d_minus(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) - n, _turtle3d_y(pt) - n, _turtle3d_z(pt) + n);
function _turtle3d_mlt(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) * n, _turtle3d_y(pt) * n, _turtle3d_z(pt) * n);
function _turtle3d_div(pt, n) =
_turtle3d_pt3D(_turtle3d_x(pt) / n, _turtle3d_y(pt) / n, _turtle3d_z(pt) / n);
function _turtle3d_neg(pt, n) =
_turtle3d_mlt(pt, -1);
function _turtle3d_ptPlus(pt1, pt2) =
_turtle3d_pt3D(
_turtle3d_x(pt1) + _turtle3d_x(pt2),
_turtle3d_y(pt1) + _turtle3d_y(pt2),
_turtle3d_z(pt1) + _turtle3d_z(pt2)
);
function _turtle3d_pt(turtle) = turtle[0];
function _turtle3d_unit_vts(turtle) = turtle[1];
// forward the turtle in the x' direction
function _turtle3d_xu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(_turtle3d_pt(turtle), _turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], leng)),
_turtle3d_unit_vts(turtle)
);
// forward the turtle in the y' direction
function _turtle3d_yu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(_turtle3d_pt(turtle), _turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], leng)),
_turtle3d_unit_vts(turtle)
);
// forward the turtle in the z' direction
function _turtle3d_zu_move(turtle, leng) = _turtle3d_create(
_turtle3d_ptPlus(
_turtle3d_pt(turtle),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], leng)
),
_turtle3d_unit_vts(turtle)
);
// turn the turtle around the x'-axis
// return a new unit vector
function _turtle3d_xu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_unit_vts(turtle)[0],
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], cosa),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], sina)
),
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[1]), sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], cosa)
)
]
);
// turn the turtle around the y'-axis
// return a new unit vector
function _turtle3d_yu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], cosa),
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[2]), sina)
),
_turtle3d_unit_vts(turtle)[1],
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[2], cosa)
)
]
);
// turn the turtle around the z'-axis
// return a new unit vector
function _turtle3d_zu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
_turtle3d_create(
_turtle3d_pt(turtle),
[
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[0], cosa),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], sina)
),
_turtle3d_ptPlus(
_turtle3d_mlt(_turtle3d_neg(_turtle3d_unit_vts(turtle)[0]), sina),
_turtle3d_mlt(_turtle3d_unit_vts(turtle)[1], cosa)
),
_turtle3d_unit_vts(turtle)[2],
]
);
function _turtle3d_create_cmd(arg1, arg2) =
is_undef(arg1) && is_undef(arg2) ? _turtle3d_create_default() :
!is_undef(arg1) && !is_undef(arg2) ? _turtle3d_create(arg1, arg2) : undef;
function _turtle3d_chain_move(cmd, arg1, arg2) =
cmd == "xu_move" ? _turtle3d_xu_move(arg1, arg2) :
cmd == "yu_move" ? _turtle3d_yu_move(arg1, arg2) :
cmd == "zu_move" ? _turtle3d_zu_move(arg1, arg2) : _turtle3d_chain_turn(cmd, arg1, arg2);
function _turtle3d_chain_turn(cmd, arg1, arg2) =
cmd == "xu_turn" ? _turtle3d_xu_turn(arg1, arg2) :
cmd == "yu_turn" ? _turtle3d_yu_turn(arg1, arg2) :
cmd == "zu_turn" ? _turtle3d_zu_turn(arg1, arg2) : _turtle3d_chain_one_arg(cmd, arg1);
function _turtle3d_chain_one_arg(cmd, arg) =
cmd == "pt" ? _turtle3d_pt(arg) :
cmd == "unit_vts" ? _turtle3d_unit_vts(arg) : undef;
function turtle3d(cmd, arg1, arg2) =
cmd == "create" ?
_turtle3d_create_cmd(arg1, arg2) :
_turtle3d_chain_move(cmd, arg1, arg2);
function turtle3d(cmd, arg1, arg2) = _turtle3d_impl(cmd, arg1, arg2);