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mirror of https://github.com/JustinSDK/dotSCAD.git synced 2025-01-18 06:38:14 +01:00
This commit is contained in:
Justin Lin 2022-03-11 08:24:24 +08:00
parent 0ce5d6e1da
commit 62f6c4caa5
4 changed files with 76 additions and 127 deletions

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@ -18,8 +18,8 @@ function _t2d_forward(t, leng) =
function _t2d_turn(t, angle) = [_t2d_get_pt(t), _t2d_get_angle(t) + angle];
function _t2d_get_x(t) = t[0][0];
function _t2d_get_y(t) = t[0][1];
function _t2d_get_x(t) = t[0].x;
function _t2d_get_y(t) = t[0].y;
function _t2d_get_pt(t) = t[0];
function _t2d_get_angle(t) = t[1];

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@ -1,111 +1,86 @@
function _t3d_x(pt) = pt[0];
function _t3d_y(pt) = pt[1];
function _t3d_z(pt) = pt[2];
function _t3d_pt3D(x, y, z) = [x, y, z];
use <../../matrix/m_rotation.scad>;
function _t3d_create(pt, unit_vts) =
[
is_undef(pt) ? _t3d_pt3D(0, 0, 0) : pt,
is_undef(unit_vts) ? [_t3d_pt3D(1, 0, 0), _t3d_pt3D(0, 1, 0), _t3d_pt3D(0, 0, 1)] : unit_vts
is_undef(pt) ? [0, 0, 0] : pt,
is_undef(unit_vts) ? [[1, 0, 0], [0, 1, 0], [0, 0, 1]] : unit_vts
];
function _t3d_plus(pt, n) =
_t3d_pt3D(_t3d_x(pt) + n, _t3d_y(pt) + n, _t3d_z(pt) + n);
function _t3d_minus(pt, n) =
_t3d_pt3D(_t3d_x(pt) - n, _t3d_y(pt) - n, _t3d_z(pt) + n);
function _t3d_mlt(pt, n) =
_t3d_pt3D(_t3d_x(pt) * n, _t3d_y(pt) * n, _t3d_z(pt) * n);
function _t3d_div(pt, n) =
_t3d_pt3D(_t3d_x(pt) / n, _t3d_y(pt) / n, _t3d_z(pt) / n);
function _t3d_neg(pt, n) =
_t3d_mlt(pt, -1);
function _t3d_ptPlus(pt1, pt2) =
_t3d_pt3D(
_t3d_x(pt1) + _t3d_x(pt2),
_t3d_y(pt1) + _t3d_y(pt2),
_t3d_z(pt1) + _t3d_z(pt2)
);
function _t3d_pt(turtle) = turtle[0];
function _t3d_unit_vts(turtle) = turtle[1];
// forward the turtle in the x' direction
function _t3d_xu_forward(turtle, leng) = _t3d_create(
_t3d_ptPlus(_t3d_pt(turtle), _t3d_mlt(_t3d_unit_vts(turtle)[0], leng)),
_t3d_pt(turtle) + _t3d_unit_vts(turtle).x * leng,
_t3d_unit_vts(turtle)
);
// forward the turtle in the y' direction
function _t3d_yu_forward(turtle, leng) = _t3d_create(
_t3d_ptPlus(_t3d_pt(turtle), _t3d_mlt(_t3d_unit_vts(turtle)[1], leng)),
_t3d_pt(turtle) + _t3d_unit_vts(turtle).y * leng,
_t3d_unit_vts(turtle)
);
// forward the turtle in the z' direction
function _t3d_zu_forward(turtle, leng) = _t3d_create(
_t3d_ptPlus(
_t3d_pt(turtle),
_t3d_mlt(_t3d_unit_vts(turtle)[2], leng)
),
_t3d_pt(turtle) + _t3d_unit_vts(turtle).z * leng,
_t3d_unit_vts(turtle)
);
// turn the turtle around the x'-axis
// return a new unit vector
function _t3d_xu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
let(
unit_vts = _t3d_unit_vts(turtle),
xu = unit_vts.x,
m = m_rotation(a, xu),
nyu = m * [each unit_vts.y, 1],
nzu = m * [each unit_vts.z, 1]
)
_t3d_create(
_t3d_pt(turtle),
[
_t3d_unit_vts(turtle)[0],
_t3d_ptPlus(
_t3d_mlt(_t3d_unit_vts(turtle)[1], cosa),
_t3d_mlt(_t3d_unit_vts(turtle)[2], sina)
),
_t3d_ptPlus(
_t3d_mlt(_t3d_neg(_t3d_unit_vts(turtle)[1]), sina),
_t3d_mlt(_t3d_unit_vts(turtle)[2], cosa)
)
xu,
[nyu.x, nyu.y, nyu.z],
[nzu.x, nzu.y, nzu.z]
]
);
// turn the turtle around the y'-axis
// return a new unit vector
function _t3d_yu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
let(
unit_vts = _t3d_unit_vts(turtle),
yu = unit_vts.y,
m = m_rotation(a, yu),
nxu = m * [each unit_vts.x, 1],
nzu = m * [each unit_vts.z, 1]
)
_t3d_create(
_t3d_pt(turtle),
[
_t3d_ptPlus(
_t3d_mlt(_t3d_unit_vts(turtle)[0], cosa),
_t3d_mlt(_t3d_neg(_t3d_unit_vts(turtle)[2]), sina)
),
_t3d_unit_vts(turtle)[1],
_t3d_ptPlus(
_t3d_mlt(_t3d_unit_vts(turtle)[0], sina),
_t3d_mlt(_t3d_unit_vts(turtle)[2], cosa)
)
[nxu.x, nxu.y, nxu.z],
yu,
[nzu.x, nzu.y, nzu.z]
]
);
// turn the turtle around the z'-axis
// return a new unit vector
function _t3d_zu_turn(turtle, a) =
let(cosa = cos(a), sina = sin(a))
let(
unit_vts = _t3d_unit_vts(turtle),
zu = unit_vts.z,
m = m_rotation(a, zu),
nxu = m * [each unit_vts.x, 1],
nyu = m * [each unit_vts.y, 1]
)
_t3d_create(
_t3d_pt(turtle),
[
_t3d_ptPlus(
_t3d_mlt(_t3d_unit_vts(turtle)[0], cosa),
_t3d_mlt(_t3d_unit_vts(turtle)[1], sina)
),
_t3d_ptPlus(
_t3d_mlt(_t3d_neg(_t3d_unit_vts(turtle)[0]), sina),
_t3d_mlt(_t3d_unit_vts(turtle)[1], cosa)
),
_t3d_unit_vts(turtle)[2],
[nxu.x, nxu.y, nxu.z],
[nyu.x, nyu.y, nyu.z],
zu
]
);

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@ -15,8 +15,8 @@ function _turtle2d_forward(turtle, leng) =
function _turtle2d_turn(turtle, angle) = [_turtle2d_get_pt(turtle), _turtle2d_get_angle(turtle) + angle];
function _turtle2d_get_x(turtle) = turtle[0][0];
function _turtle2d_get_y(turtle) = turtle[0][1];
function _turtle2d_get_x(turtle) = turtle[0].x;
function _turtle2d_get_y(turtle) = turtle[0].y;
function _turtle2d_get_pt(turtle) = turtle[0];
function _turtle2d_get_angle(turtle) = turtle[1];

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@ -1,113 +1,87 @@
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];
use <../../matrix/m_rotation.scad>;
function _turtle3d_create(pt, unit_vts) = [pt, unit_vts];
function _turtle3d_create_default() = _turtle3d_create(
_turtle3d_pt3D(0, 0, 0),
[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)]
[[1, 0, 0], [0, 1, 0], [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_pt(turtle) + _turtle3d_unit_vts(turtle).x * 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_pt(turtle) + _turtle3d_unit_vts(turtle).y * 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_pt(turtle) + _turtle3d_unit_vts(turtle).z * 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))
let(
unit_vts = _turtle3d_unit_vts(turtle),
xu = unit_vts.x,
m = m_rotation(a, xu),
nyu = m * [each unit_vts.y, 1],
nzu = m * [each unit_vts.z, 1]
)
_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)
)
xu,
[nyu.x, nyu.y, nyu.z],
[nzu.x, nzu.y, nzu.z]
]
);
// 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))
let(
unit_vts = _turtle3d_unit_vts(turtle),
yu = unit_vts.y,
m = m_rotation(a, yu),
nxu = m * [each unit_vts.x, 1],
nzu = m * [each unit_vts.z, 1]
)
_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)
)
[nxu.x, nxu.y, nxu.z],
yu,
[nzu.x, nzu.y, nzu.z]
]
);
// 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))
let(
unit_vts = _turtle3d_unit_vts(turtle),
zu = unit_vts.z,
m = m_rotation(a, zu),
nxu = m * [each unit_vts.x, 1],
nyu = m * [each unit_vts.y, 1]
)
_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],
[nxu.x, nxu.y, nxu.z],
[nyu.x, nyu.y, nyu.z],
zu
]
);