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https://github.com/BelfrySCAD/BOSL2.git
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Added cylindrical_heightfield()
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2 changed files with 126 additions and 4 deletions
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@ -84,9 +84,9 @@ module half_joiner_clear(l=20, w=10, ang=30, clearance=0, overlap=0.01, anchor=C
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// half_joiner(l=20,w=10,base=10);
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// Example(3D):
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// diff()
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// cuboid(30)
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// cuboid(40)
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// attach([FWD,TOP,RIGHT])
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// xcopies(30) half_joiner();
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// xcopies(20) half_joiner();
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function half_joiner(l=20, w=10, base=10, ang=30, screwsize, anchor=CENTER, spin=0, orient=UP) =
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let(
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guide = [w/3-get_slop()*2, ang_adj_to_opp(ang, l/3)*2, l/3],
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@ -264,9 +264,9 @@ module half_joiner(l=20, w=10, base=10, ang=30, screwsize, anchor=CENTER, spin=0
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// half_joiner2(w=10,base=10,l=20);
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// Example(3D):
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// diff()
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// cuboid(30)
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// cuboid(40)
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// attach([FWD,TOP,RIGHT])
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// xcopies(30) half_joiner2();
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// xcopies(20) half_joiner2();
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function half_joiner2(l=20, w=10, base=10, ang=30, screwsize, anchor=CENTER, spin=0, orient=UP) =
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let(
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guide = [w/3, ang_adj_to_opp(ang, l/3)*2, l/3],
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122
shapes3d.scad
122
shapes3d.scad
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@ -2890,6 +2890,128 @@ function heightfield(data, size=[100,100], bottom=-20, maxz=100, xrange=[-1:0.04
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) reorient(anchor,spin,orient, vnf=vnf, p=vnf);
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// Function&Module: cylindrical_heightfield()
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// Usage: As Function
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// vnf = cylindrical_heightfield(data, l, r|d=, [base=], [transpose=], [aspect=]);
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// Usage: As Module
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// cylindrical_heightfield(data, l, r|d=, [base=], [transpose=], [aspect=]) [ATTACHMENTS];
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// Description:
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// Given a regular rectangular 2D grid of scalar values, or a function literal of signature (x,y), generates
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// a cylindrical 3D surface where the height at any given point above the radius `r=`, is the scalar value
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// for that position.
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// Arguments:
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// data = This is either the 2D rectangular array of heights, or a function literal of signature `(x, y)`.
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// l = The length of the cylinder to wrap around.
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// r = The radius of the cylinder to wrap around.
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// ---
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// d = The diameter of the cylinder to wrap around.
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// base = The radius for the bottom of the heightfield object to create. Any heights smaller than this will be truncated to very slightly above this height. Default: -20
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// transpose = If true, swaps the radial and length axes of the data. Default: false
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// aspect = The aspect ratio of the generated heightfield at the surface of the cylinder. Default: 1
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// xrange = A range of values to iterate X over when calculating a surface from a function literal. Default: [-1 : 0.01 : 1]
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// yrange = A range of values to iterate Y over when calculating a surface from a function literal. Default: [-1 : 0.01 : 1]
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// maxh = The maximum height above the radius to model. Truncates anything taller to this height. Default: 99
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// style = The style of subdividing the quads into faces. Valid options are "default", "alt", and "quincunx". Default: "default"
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// convexity = Max number of times a line could intersect a wall of the surface being formed. Module only. Default: 10
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis. See [spin](attachments.scad#subsection-spin). Default: `0`
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// orient = Vector to rotate top towards. See [orient](attachments.scad#subsection-orient). Default: `UP`
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// Example(VPR=[55,0,150];VPR=370):
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// cylindrical_heightfield(l=100, r=30, base=5, data=[
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// for (y=[-180:4:180]) [
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// for(x=[-180:4:180])
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// 5*cos(5*norm([x,y]))+5
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// ]
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// ]);
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// Example: Heightfield by Function
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// fn = function (x,y) 5*sin(x*360)*cos(y*360)+5;
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// cylindrical_heightfield(l=100, r=30, data=fn);
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// Example: Heightfield by Function, with Specific Ranges
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// fn = function (x,y) 2*cos(5*norm([x,y]));
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// cylindrical_heightfield(
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// l=100, r=30, base=5, data=fn,
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// xrange=[-180:2:180], yrange=[-180:2:180]
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// );
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function cylindrical_heightfield(
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data, l, r, base=1,
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transpose=false, aspect=1,
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style="min_edge",
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xrange=[-1:0.01:1],
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yrange=[-1:0.01:1],
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maxh=99, d, h, height,
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anchor=CTR, spin=0, orient=UP
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) =
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let(
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l = first_defined([l, h, height]),
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r = get_radius(r=r, d=d)
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)
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assert(is_finite(l) && l>0, "Must supply one of l=, h=, or height= as a finite positive number.")
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assert(is_finite(r) && r>0, "Must supply one of r=, or d= as a finite positive number.")
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assert(is_finite(base) && base>0, "Must supply base= as a finite positive number.")
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assert(is_matrix(data)||is_function(data), "data= must be a function literal, or contain a 2D array of numbers.")
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let(
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xvals = is_list(data)? [for (x = idx(data[0])) x] :
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is_range(xrange)? [for (x = xrange) x] :
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assert(false, "xrange= must be given as a range if data= is a function literal."),
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yvals = is_list(data)? [for (y = idx(data)) y] :
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is_range(yrange)? [for (y = yrange) y] :
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assert(false, "yrange= must be given as a range if data= is a function literal."),
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xlen = len(xvals),
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ylen = len(yvals),
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stepy = l / (ylen-1),
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stepx = stepy * aspect,
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circ = 2 * PI * r,
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astep = 360 / circ * stepx,
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arc = astep * xlen,
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bsteps = round(segs(r-base) * arc / 360),
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bstep = arc / bsteps
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)
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assert(stepx*xlen <= circ, str("heightfield (",xlen," x ",ylen,") needs a radius of at least ",r*stepx*xlen/circ))
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let(
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verts = [
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for (yi = idx(yvals)) let( z = yi * stepy - l/2 ) [
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cylindrical_to_xyz(r-base, 0, z),
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for (xi = idx(xvals)) let( a = xi*astep )
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let(
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rad = transpose? (
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is_list(data)? data[xi][yi] : data(yvals[yi],xvals[xi])
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) : (
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is_list(data)? data[yi][xi] : data(xvals[xi],yvals[yi])
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),
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rad2 = constrain(rad, 0.01-base, maxh)
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)
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cylindrical_to_xyz(r+rad2, a, z),
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cylindrical_to_xyz(r-base, arc, z),
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for (b = [1:1:bsteps-1]) let( a = arc-b*bstep )
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cylindrical_to_xyz(r-base, a, l/2*(z>0?1:-1)),
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]
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],
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vnf = vnf_vertex_array(verts, caps=true, col_wrap=true, reverse=true, style=style)
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) reorient(anchor,spin,orient, r=r, l=l, p=vnf);
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module cylindrical_heightfield(
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data, l, r, base=1,
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transpose=false, aspect=1,
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style="min_edge", convexity=10,
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xrange=[-1:0.01:1], yrange=[-1:0.01:1],
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maxh=99, d, h, height,
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anchor=CTR, spin=0, orient=UP
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) {
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l = first_defined([l, h, height]);
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r = get_radius(r=r, d=d);
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vnf = cylindrical_heightfield(
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data, l=l, r=r, base=base,
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xrange=xrange, yrange=yrange,
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maxh=maxh, transpose=transpose,
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aspect=aspect, style=style
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);
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attachable(anchor,spin,orient, r=r, l=l) {
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vnf_polyhedron(vnf, convexity=convexity);
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children();
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}
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}
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// Module: ruler()
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// Usage:
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