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moved affine_frame_map to affine.scad

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Adrian Mariano 2020-02-29 22:54:33 -05:00
parent b029284228
commit ca167f6bb1
2 changed files with 46 additions and 40 deletions
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46
affine.scad
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@ -259,6 +259,49 @@ function affine3d_rot_from_to(from, to) = let(
];
// Function: affine_frame_map()
// Usage: map = affine_frame_map(x=v1,y=v2);
// map = affine_frame_map(x=v1,z=v2);
// map = affine_frame_map(y=v1,y=v2);
// map = affine_frame_map(v1,v2,v3);
// Description:
// Returns a transformation that maps one coordinate frame to another. You must specify two or three of `x`, `y`, and `z`. The specified
// axes are mapped to the vectors you supplied. If you give two inputs, the third vector is mapped to the appropriate normal to maintain a right hand coordinate system.
// If the vectors you give are orthogonal the result will be a rotation. The `reverse` parameter will supply the inverse map, which enables you
// to map two arbitrary coordinate systems two each other by using the canonical coordinate system as an intermediary.
// Arguments:
// x = Destination vector for x axis
// y = Destination vector for y axis
// z = Destination vector for z axis
// reverse = reverse direction of the map. Default: false
// Examples:
// T = affine_frame_map(x=[1,1,0], y=[-1,1]); // This map is just a rotation around the z axis
// T = affine_frame_map(x=[1,0,0], y=[1,1]); // This map is not a rotation because x and y aren't orthogonal
// // The next map sends [1,1,0] to [0,1,1] and [-1,1,0] to [0,-1,1]
// T = affine_frame_map(x=[0,1,1], y=[0,-1,1]) * affine_frame_map(x=[1,1,0], y=[-1,1,0],reverse=true);
function affine_frame_map(x,y,z, reverse=false) =
assert(num_defined([x,y,z])>=2, "Must define at least two inputs")
let(
xvalid = is_undef(x) || (is_vector(x) && len(x)==3),
yvalid = is_undef(y) || (is_vector(y) && len(y)==3),
zvalid = is_undef(z) || (is_vector(z) && len(z)==3)
)
assert(xvalid,"Input x must be a length 3 vector")
assert(yvalid,"Input y must be a length 3 vector")
assert(zvalid,"Input z must be a length 3 vector")
let(
x = is_def(x) ? normalize(x) : undef,
y = is_def(y) ? normalize(y) : undef,
z = is_def(z) ? normalize(z) : undef,
map = is_undef(x) ? [cross(y,z), y, z] :
is_undef(y) ? [x, cross(z,x), z] :
is_undef(z) ? [x, y, cross(x,y)] :
[x, y, z]
)
reverse ? affine2d_to_3d(map) : affine2d_to_3d(transpose(map));
// Function: affine3d_mirror()
// Usage:
// mat = affine3d_mirror(v);
@ -441,4 +484,7 @@ function is_2d_transform(t) = // z-parameters are zero, except we allow t[2][
(t[2][2]==1 || !(t[0][0]==1 && t[0][1]==0 && t[1][0]==0 && t[1][1]==1)); // But rule out zscale()
// vim: noexpandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap

40
skin.scad
View file

@ -779,46 +779,6 @@ module sweep(shape, transformations, closed=false, caps, convexity=10) {
vnf_polyhedron(sweep(shape, transformations, closed, caps), convexity=convexity);
}
// Function: affine_frame_map()
// Usage: map = affine_frame_map(x=v1,y=v2);
// map = affine_frame_map(x=v1,z=v2);
// map = affine_frame_map(y=v1,y=v2);
// map = affine_frame_map(v1,v2,v3);
// Description:
// Returns a transformation that maps one coordinate frame to another. You must specify two or three of `x`, `y`, and `z`. The specified
// axes are mapped to the vectors you supplied. If you give two inputs, the third vector is mapped to the appropriate normal to maintain a right hand coordinate system.
// If the vectors you give are orthogonal the result will be a rotation. The `reverse` parameter will supply the inverse map, which enables you
// to map two arbitrary coordinate systems two each other by using the canonical coordinate system as an intermediary.
// Arguments:
// x = Destination vector for x axis
// y = Destination vector for y axis
// z = Destination vector for z axis
// reverse = reverse direction of the map. Default: false
// Examples:
// T = affine_frame_map(x=[1,1,0], y=[-1,1]); // This map is just a rotation around the z axis
// T = affine_frame_map(x=[1,0,0], y=[1,1]); // This map is not a rotation because x and y aren't orthogonal
// // The next map sends [1,1,0] to [0,1,1] and [-1,1,0] to [0,-1,1]
// T = affine_frame_map(x=[0,1,1], y=[0,-1,1]) * affine_frame_map(x=[1,1,0], y=[-1,1,0],reverse=true);
function affine_frame_map(x,y,z, reverse=false) =
assert(num_defined([x,y,z])>=2, "Must define at least two inputs")
let(
xvalid = is_undef(x) || (is_vector(x) && len(x)==3),
yvalid = is_undef(y) || (is_vector(y) && len(y)==3),
zvalid = is_undef(z) || (is_vector(z) && len(z)==3)
)
assert(xvalid,"Input x must be a length 3 vector")
assert(yvalid,"Input y must be a length 3 vector")
assert(zvalid,"Input z must be a length 3 vector")
let(
x = is_def(x) ? normalize(x) : undef,
y = is_def(y) ? normalize(y) : undef,
z = is_def(z) ? normalize(z) : undef,
map = is_undef(x) ? [cross(y,z), y, z] :
is_undef(y) ? [x, cross(z,x), z] :
is_undef(z) ? [x, y, cross(x,y)] :
[x, y, z]
)
reverse ? affine2d_to_3d(map) : affine2d_to_3d(transpose(map));
// Function&Module: path_sweep()
// Usage: path_sweep(shape, path, [method], [normal], [closed], [twist], [twist_by_length], [symmetry], [last_normal], [tangent], [relaxed], [caps], [convexity], [transforms])