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Added function versions of [xyz]scale() and [xyz]rot().
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1 changed files with 108 additions and 29 deletions
137
transforms.scad
137
transforms.scad
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@ -283,9 +283,16 @@ function rot(a=0, v=undef, cp=undef, from=undef, to=undef, reverse=false, p=unde
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is_vector(p)? (
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rot(a=a, v=v, cp=cp, from=from, to=to, reverse=reverse, p=[p], planar=planar)[0]
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) : (
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(planar || (p!=[] && len(p[0])==2))? (
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(
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(planar || (p!=[] && len(p[0])==2)) && !(
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(is_vector(a) && norm(point2d(a))>0) ||
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(!is_undef(v) && norm(point2d(v))>0 && !approx(a,0)) ||
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(!is_undef(from) && !approx(from,to) && !(abs(from.z)>0 || abs(to.z))) ||
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(!is_undef(from) && approx(from,to) && norm(point2d(from))>0 && a!=0)
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)
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)? (
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is_undef(from)? rotate_points2d(p, a=a*rev, cp=cp) : (
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approx(from,to)? p :
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approx(from,to)&&approx(a,0)? p :
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rotate_points2d(p, a=vector_angle(from,to)*sign(vector_axis(from,to)[2])*rev, cp=cp)
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)
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) : (
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@ -297,17 +304,25 @@ function rot(a=0, v=undef, cp=undef, from=undef, to=undef, reverse=false, p=unde
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// Module: xrot()
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// Function&Module: xrot()
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//
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// Description:
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// Rotates children around the X axis by the given number of degrees.
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// When called as a module, rotates children around the X axis by the given number of degrees.
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// When called as a function with the `p` argument, rotates the coordinates in `p` around the X axis by the given number of degrees.
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// When called as a function without the `p` argument, returns an affine matrix to rotate around the X axis by the given number of degrees.
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// If given, rotations are centered around the centerpoint `cp`.
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//
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// Usage:
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// Usage: As Module
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// xrot(a, [cp]) ...
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// Usage: Rotate Points
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// rotated = xrot(a, p, [cp]);
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// Usage: Get Rotation Matrix
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// mat = xrot(a, [cp]);
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//
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// Arguments:
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// a = angle to rotate by in degrees.
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// cp = centerpoint to rotate around. Default: [0,0,0]
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// p = If called as a function, this contains a point or list of points to rotate.
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//
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// Example:
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// #cylinder(h=50, r=10, center=true);
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@ -323,18 +338,28 @@ module xrot(a=0, cp=undef)
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}
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}
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function xrot(a=0, cp=undef, p=undef) = rot([a,0,0], cp=cp, p=p);
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// Module: yrot()
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// Function&Module: yrot()
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//
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// Description:
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// Rotates children around the Y axis by the given number of degrees.
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// When called as a module, rotates children around the Y axis by the given number of degrees.
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// When called as a function with the `p` argument, rotates the coordinates in `p` around the Y axis by the given number of degrees.
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// When called as a function without the `p` argument, returns an affine matrix to rotate around the Y axis by the given number of degrees.
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// If given, rotations are centered around the centerpoint `cp`.
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//
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// Usage:
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// Usage: As Module
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// yrot(a, [cp]) ...
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// Usage: Rotate Points
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// rotated = yrot(a, p, [cp]);
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// Usage: Get Rotation Matrix
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// mat = yrot(a, [cp]);
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//
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// Arguments:
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// a = angle to rotate by in degrees.
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// cp = centerpoint to rotate around. Default: [0,0,0]
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// p = If called as a function, this contains a point or list of points to rotate.
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//
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// Example:
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// #cylinder(h=50, r=10, center=true);
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@ -350,18 +375,28 @@ module yrot(a=0, cp=undef)
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}
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}
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function yrot(a=0, cp=undef, p=undef) = rot([0,a,0], cp=cp, p=p);
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// Module: zrot()
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// Function&Module: zrot()
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//
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// Description:
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// Rotates children around the Z axis by the given number of degrees.
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// When called as a module, rotates children around the Z axis by the given number of degrees.
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// When called as a function with the `p` argument, rotates the coordinates in `p` around the Z axis by the given number of degrees.
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// When called as a function without the `p` argument, returns an affine matrix to rotate around the Z axis by the given number of degrees.
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// If given, rotations are centered around the centerpoint `cp`.
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//
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// Usage:
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// Usage: As Module
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// zrot(a, [cp]) ...
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// Usage: Rotate Points
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// rotated = zrot(a, p, [cp]);
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// Usage: Get Rotation Matrix
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// mat = zrot(a, [cp]);
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//
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// Arguments:
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// a = angle to rotate by in degrees.
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// cp = centerpoint to rotate around. Default: [0,0,0]
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// p = If called as a function, this contains a point or list of points to rotate.
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//
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// Example:
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// #cube(size=[60,20,40], center=true);
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@ -377,6 +412,7 @@ module zrot(a=0, cp=undef)
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}
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}
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function zrot(a=0, cp=undef, p=undef) = rot(a, cp=cp, p=p);
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//////////////////////////////////////////////////////////////////////
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@ -406,6 +442,10 @@ module zrot(a=0, cp=undef)
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// pt3 = scale([2,3,4], p=[[1,2,3],[4,5,6]]); // Returns: [[2,6,12], [8,15,24]]
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// mat2d = scale([2,3]); // Returns: [[2,0,0],[0,3,0],[0,0,1]]
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// mat3d = scale([2,3,4]); // Returns: [[2,0,0,0],[0,3,0,0],[0,0,4,0],[0,0,0,1]]
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// Example(2D):
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// path = circle(d=50,$fn=12);
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// #stroke(path);
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// stroke(scale([1.5,3],p=path));
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function scale(a=1, p=undef) =
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let(a = is_num(a)? [a,a,a] : a)
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is_undef(p)? (
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@ -415,52 +455,91 @@ function scale(a=1, p=undef) =
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);
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// Module: xscale()
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// Function&Module: xscale()
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//
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// Usage: As Module
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// xscale(x) ...
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// Usage: Scale Points
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// scaled = xscale(x, p);
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// Usage: Get Scaling Matrix
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// mat = xscale(x, planar);
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//
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// Description:
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// Scales children by the given factor on the X axis.
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//
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// Usage:
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// xscale(x) ...
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// When called as a module, scales children by the given `x` factor on the X axis.
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// When called as a function with the `p` argument, scales the coordinates in `p` by the given scale `x` in the X axis.
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// When called as a function without the `p` argument, returns an affine matrix to scale by the given scale `x` in the X axis.
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//
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// Arguments:
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// x = Factor to scale by along the X axis.
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// x = Factor to scale by, along the X axis.
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// p = A point or path to scale, when called as a function.
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// planar = If true, and `p` is not given, then the matrix returned is an affine2d matrix instead of an affine3d matrix.
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//
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// Example:
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// Example: As Module
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// xscale(3) sphere(r=10);
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module xscale(x) scale([x,1,1]) children();
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//
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// Example(2D): Scaling Points
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// path = circle(d=50,$fn=12);
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// #stroke(path);
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// stroke(xscale(2,p=path));
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module xscale(x=1) scale([x,1,1]) children();
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function xscale(x=1, p=undef, planar=false) = (planar || (!is_undef(p) && len(p)==2))? scale([x,1],p=p) : scale([x,1,1],p=p);
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// Module: yscale()
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// Function&Module: yscale()
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//
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// Description:
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// Scales children by the given factor on the Y axis.
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// When called as a module, scales children by the given `y` factor on the Y axis.
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// When called as a function with the `p` argument, scales the coordinates in `p` by the given scale `y` in the Y axis.
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// When called as a function without the `p` argument, returns an affine matrix to scale by the given scale `y` in the Y axis.
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//
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// Usage:
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// yscale(y) ...
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// mat = yscale(y);
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// scaled = yscale(y, p);
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//
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// Arguments:
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// y = Factor to scale by along the Y axis.
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// y = Factor to scale by, along the Y axis.
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// p = A point or path to scale, when called as a function.
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// planar = If true, and `p` is not given, then the matrix returned is an affine2d matrix instead of an affine3d matrix.
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//
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// Example:
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// Example: As Module
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// yscale(3) sphere(r=10);
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module yscale(y) scale([1,y,1]) children();
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//
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// Example(2D): Scaling Points
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// path = circle(d=50,$fn=12);
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// #stroke(path);
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// stroke(yscale(2,p=path));
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module yscale(y=1) scale([1,y,1]) children();
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function yscale(y=1, p=undef, planar=false) = (planar || (!is_undef(p) && len(p)==2))? scale([1,y],p=p) : scale([1,y,1],p=p);
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// Module: zscale()
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// Function&Module: zscale()
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//
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// Description:
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// Scales children by the given factor on the Z axis.
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// When called as a module, scales children by the given `z` factor on the Z axis.
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// When called as a function with the `p` argument, scales the coordinates in `p` by the given scale `z` in the Z axis.
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// When called as a function without the `p` argument, returns an affine matrix to scale by the given scale `z` in the Z axis.
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//
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// Usage:
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// zscale(z) ...
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//
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// Arguments:
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// z = Factor to scale by along the Z axis.
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// z = Factor to scale by, along the Z axis.
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// p = A point or path to scale, when called as a function.
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// planar = If true, and `p` is not given, then the matrix returned is an affine2d matrix instead of an affine3d matrix.
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//
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// Example:
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// Example: As Module
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// zscale(3) sphere(r=10);
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module zscale(z) scale([1,1,z]) children();
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//
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// Example: Scaling Points
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// path = xrot(90,p=circle(d=50,$fn=12));
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// #trace_polyline(path);
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// trace_polyline(zscale(2,p=path));
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module zscale(z=1) scale([1,1,z]) children();
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function zscale(z=1, p=undef) = scale([1,1,z],p=p);
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// Module: xflip()
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